id	sid	tid	token	lemma	pos
ejpam-4168	1	1	european	european	PROPN
ejpam-4168	1	2	journal	journal	PROPN
ejpam-4168	1	3	of	of	ADP
ejpam-4168	1	4	pure	pure	ADJ
ejpam-4168	1	5	and	and	CCONJ
ejpam-4168	1	6	applied	apply	VERB
ejpam-4168	1	7	mathematics	mathematic	NOUN
ejpam-4168	1	8	vol	vol	NOUN
ejpam-4168	1	9	.	.	PUNCT
ejpam-4168	2	1	14	14	NUM
ejpam-4168	2	2	,	,	PUNCT
ejpam-4168	2	3	no	no	INTJ
ejpam-4168	2	4	.	.	NOUN
ejpam-4168	2	5	4	4	NUM
ejpam-4168	2	6	,	,	PUNCT
ejpam-4168	2	7	2021	2021	NUM
ejpam-4168	2	8	,	,	PUNCT
ejpam-4168	2	9	1490	1490	NUM
ejpam-4168	2	10	-	-	SYM
ejpam-4168	2	11	1506	1506	NUM
ejpam-4168	2	12	issn	issn	PROPN
ejpam-4168	2	13	1307	1307	NUM
ejpam-4168	2	14	-	-	SYM
ejpam-4168	2	15	5543	5543	NUM
ejpam-4168	2	16	–	–	PUNCT
ejpam-4168	2	17	ejpam.com	ejpam.com	X
ejpam-4168	2	18	published	publish	VERB
ejpam-4168	2	19	by	by	ADP
ejpam-4168	2	20	new	new	PROPN
ejpam-4168	2	21	york	york	PROPN
ejpam-4168	2	22	business	business	PROPN
ejpam-4168	2	23	global	global	ADJ
ejpam-4168	2	24	on	on	ADP
ejpam-4168	2	25	connected	connect	VERB
ejpam-4168	2	26	partial	partial	ADJ
ejpam-4168	2	27	domination	domination	NOUN
ejpam-4168	2	28	in	in	ADP
ejpam-4168	2	29	graphs	graph	NOUN
ejpam-4168	2	30	jessa	jessa	PROPN
ejpam-4168	2	31	mae	mae	PROPN
ejpam-4168	2	32	c.	c.	PROPN
ejpam-4168	2	33	cabulao1,∗	cabulao1,∗	PROPN
ejpam-4168	2	34	,	,	PUNCT
ejpam-4168	2	35	rowena	rowena	PROPN
ejpam-4168	2	36	t.	t.	PROPN
ejpam-4168	2	37	isla1,2	isla1,2	PROPN
ejpam-4168	2	38	1	1	NUM
ejpam-4168	2	39	department	department	NOUN
ejpam-4168	2	40	of	of	ADP
ejpam-4168	2	41	mathematics	mathematic	NOUN
ejpam-4168	2	42	and	and	CCONJ
ejpam-4168	2	43	statistics	statistic	NOUN
ejpam-4168	2	44	,	,	PUNCT
ejpam-4168	2	45	college	college	NOUN
ejpam-4168	2	46	of	of	ADP
ejpam-4168	2	47	science	science	NOUN
ejpam-4168	2	48	and	and	CCONJ
ejpam-4168	2	49	mathematics	mathematic	NOUN
ejpam-4168	2	50	,	,	PUNCT
ejpam-4168	2	51	mindanao	mindanao	PROPN
ejpam-4168	2	52	state	state	PROPN
ejpam-4168	2	53	university	university	PROPN
ejpam-4168	2	54	-	-	PUNCT
ejpam-4168	2	55	iligan	iligan	PROPN
ejpam-4168	2	56	institute	institute	PROPN
ejpam-4168	2	57	of	of	ADP
ejpam-4168	2	58	technology	technology	PROPN
ejpam-4168	2	59	,	,	PUNCT
ejpam-4168	2	60	9200	9200	NUM
ejpam-4168	2	61	iligan	iligan	ADJ
ejpam-4168	2	62	city	city	NOUN
ejpam-4168	2	63	,	,	PUNCT
ejpam-4168	2	64	philippines	philippine	NOUN
ejpam-4168	2	65	2	2	NUM
ejpam-4168	2	66	center	center	NOUN
ejpam-4168	2	67	for	for	ADP
ejpam-4168	2	68	graph	graph	NOUN
ejpam-4168	2	69	theory	theory	NOUN
ejpam-4168	2	70	,	,	PUNCT
ejpam-4168	2	71	algebra	algebra	NOUN
ejpam-4168	2	72	,	,	PUNCT
ejpam-4168	2	73	and	and	CCONJ
ejpam-4168	2	74	analysis	analysis	NOUN
ejpam-4168	2	75	,	,	PUNCT
ejpam-4168	2	76	premier	premier	PROPN
ejpam-4168	2	77	research	research	PROPN
ejpam-4168	2	78	institute	institute	PROPN
ejpam-4168	2	79	of	of	ADP
ejpam-4168	2	80	science	science	NOUN
ejpam-4168	2	81	and	and	CCONJ
ejpam-4168	2	82	mathematics	mathematic	NOUN
ejpam-4168	2	83	,	,	PUNCT
ejpam-4168	2	84	mindanao	mindanao	PROPN
ejpam-4168	2	85	state	state	PROPN
ejpam-4168	2	86	university	university	PROPN
ejpam-4168	2	87	-	-	PUNCT
ejpam-4168	2	88	iligan	iligan	PROPN
ejpam-4168	2	89	institute	institute	PROPN
ejpam-4168	2	90	of	of	ADP
ejpam-4168	2	91	technology	technology	PROPN
ejpam-4168	2	92	,	,	PUNCT
ejpam-4168	2	93	9200	9200	NUM
ejpam-4168	2	94	iligan	iligan	ADJ
ejpam-4168	2	95	city	city	NOUN
ejpam-4168	2	96	,	,	PUNCT
ejpam-4168	2	97	philippines	philippine	NOUN
ejpam-4168	2	98	abstract	abstract	ADJ
ejpam-4168	2	99	.	.	PUNCT
ejpam-4168	3	1	this	this	DET
ejpam-4168	3	2	paper	paper	NOUN
ejpam-4168	3	3	introduces	introduce	NOUN
ejpam-4168	3	4	and	and	CCONJ
ejpam-4168	3	5	investigates	investigate	VERB
ejpam-4168	3	6	a	a	DET
ejpam-4168	3	7	variant	variant	NOUN
ejpam-4168	3	8	of	of	ADP
ejpam-4168	3	9	partial	partial	ADJ
ejpam-4168	3	10	domination	domination	NOUN
ejpam-4168	3	11	called	call	VERB
ejpam-4168	3	12	the	the	DET
ejpam-4168	3	13	connected	connected	ADJ
ejpam-4168	3	14	α	α	NOUN
ejpam-4168	3	15	-	-	ADJ
ejpam-4168	3	16	partial	partial	ADJ
ejpam-4168	3	17	domination	domination	NOUN
ejpam-4168	3	18	.	.	PUNCT
ejpam-4168	4	1	for	for	ADP
ejpam-4168	4	2	any	any	DET
ejpam-4168	4	3	graph	graph	NOUN
ejpam-4168	4	4	g	g	NOUN
ejpam-4168	4	5	=	=	PUNCT
ejpam-4168	4	6	(	(	PUNCT
ejpam-4168	4	7	v	v	NOUN
ejpam-4168	4	8	(	(	PUNCT
ejpam-4168	4	9	g	g	NOUN
ejpam-4168	4	10	)	)	PUNCT
ejpam-4168	4	11	,	,	PUNCT
ejpam-4168	4	12	e(g	e(g	PROPN
ejpam-4168	4	13	)	)	PUNCT
ejpam-4168	4	14	)	)	PUNCT
ejpam-4168	5	1	and	and	CCONJ
ejpam-4168	5	2	α	α	PRON
ejpam-4168	5	3	∈	∈	PROPN
ejpam-4168	5	4	(	(	PUNCT
ejpam-4168	5	5	0	0	NUM
ejpam-4168	5	6	,	,	PUNCT
ejpam-4168	5	7	1	1	NUM
ejpam-4168	5	8	]	]	PUNCT
ejpam-4168	5	9	,	,	PUNCT
ejpam-4168	5	10	a	a	DET
ejpam-4168	5	11	set	set	NOUN
ejpam-4168	5	12	s	s	NOUN
ejpam-4168	5	13	⊆	⊆	NUM
ejpam-4168	5	14	v	v	NOUN
ejpam-4168	5	15	(	(	PUNCT
ejpam-4168	5	16	g	g	NOUN
ejpam-4168	5	17	)	)	PUNCT
ejpam-4168	5	18	is	be	AUX
ejpam-4168	5	19	an	an	DET
ejpam-4168	5	20	α	α	NOUN
ejpam-4168	5	21	-	-	ADJ
ejpam-4168	5	22	partial	partial	ADJ
ejpam-4168	5	23	dominating	dominating	NOUN
ejpam-4168	5	24	set	set	VERB
ejpam-4168	5	25	in	in	ADP
ejpam-4168	5	26	g	g	PROPN
ejpam-4168	5	27	if	if	SCONJ
ejpam-4168	5	28	|n	|n	PRON
ejpam-4168	5	29	[	[	X
ejpam-4168	5	30	s]|	s]|	PROPN
ejpam-4168	5	31	≥	≥	NUM
ejpam-4168	5	32	α	α	PROPN
ejpam-4168	5	33	|v	|v	PROPN
ejpam-4168	5	34	(	(	PUNCT
ejpam-4168	5	35	g)|	g)|	NOUN
ejpam-4168	5	36	.	.	PUNCT
ejpam-4168	6	1	an	an	DET
ejpam-4168	6	2	α	α	NOUN
ejpam-4168	6	3	-	-	ADJ
ejpam-4168	6	4	partial	partial	ADJ
ejpam-4168	6	5	dominating	dominating	NOUN
ejpam-4168	6	6	set	set	NOUN
ejpam-4168	6	7	s	s	PROPN
ejpam-4168	6	8	⊆	⊆	NUM
ejpam-4168	6	9	v	v	NOUN
ejpam-4168	6	10	(	(	PUNCT
ejpam-4168	6	11	g	g	NOUN
ejpam-4168	6	12	)	)	PUNCT
ejpam-4168	6	13	is	be	AUX
ejpam-4168	6	14	a	a	DET
ejpam-4168	6	15	connected	connected	ADJ
ejpam-4168	6	16	α	α	NOUN
ejpam-4168	6	17	-	-	ADJ
ejpam-4168	6	18	partial	partial	ADJ
ejpam-4168	6	19	dominating	dominating	NOUN
ejpam-4168	6	20	set	set	VERB
ejpam-4168	6	21	in	in	ADP
ejpam-4168	6	22	g	g	PROPN
ejpam-4168	6	23	if	if	SCONJ
ejpam-4168	6	24	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	6	25	,	,	PUNCT
ejpam-4168	6	26	the	the	DET
ejpam-4168	6	27	subgraph	subgraph	NOUN
ejpam-4168	6	28	induced	induce	VERB
ejpam-4168	6	29	by	by	ADP
ejpam-4168	6	30	s	s	PROPN
ejpam-4168	6	31	,	,	PUNCT
ejpam-4168	6	32	is	be	AUX
ejpam-4168	6	33	connected	connect	VERB
ejpam-4168	6	34	.	.	PUNCT
ejpam-4168	7	1	the	the	DET
ejpam-4168	7	2	connected	connected	ADJ
ejpam-4168	7	3	α	α	NOUN
ejpam-4168	7	4	-	-	ADJ
ejpam-4168	7	5	partial	partial	ADJ
ejpam-4168	7	6	domination	domination	NOUN
ejpam-4168	7	7	number	number	NOUN
ejpam-4168	7	8	of	of	ADP
ejpam-4168	7	9	g	g	NOUN
ejpam-4168	7	10	,	,	PUNCT
ejpam-4168	7	11	denoted	denote	VERB
ejpam-4168	7	12	by	by	ADP
ejpam-4168	7	13	∂cα(g	∂cα(g	PROPN
ejpam-4168	7	14	)	)	PUNCT
ejpam-4168	7	15	,	,	PUNCT
ejpam-4168	7	16	is	be	AUX
ejpam-4168	7	17	the	the	DET
ejpam-4168	7	18	smallest	small	ADJ
ejpam-4168	7	19	cardinality	cardinality	NOUN
ejpam-4168	7	20	of	of	ADP
ejpam-4168	7	21	a	a	DET
ejpam-4168	7	22	connected	connected	ADJ
ejpam-4168	7	23	α	α	NOUN
ejpam-4168	7	24	-	-	ADJ
ejpam-4168	7	25	partial	partial	ADJ
ejpam-4168	7	26	dominating	dominating	NOUN
ejpam-4168	7	27	set	set	VERB
ejpam-4168	7	28	in	in	ADP
ejpam-4168	7	29	g.	g.	PROPN
ejpam-4168	7	30	in	in	ADP
ejpam-4168	7	31	this	this	DET
ejpam-4168	7	32	paper	paper	NOUN
ejpam-4168	7	33	,	,	PUNCT
ejpam-4168	7	34	we	we	PRON
ejpam-4168	7	35	characterize	characterize	VERB
ejpam-4168	7	36	the	the	DET
ejpam-4168	7	37	connected	connected	ADJ
ejpam-4168	7	38	α	α	NOUN
ejpam-4168	7	39	-	-	ADJ
ejpam-4168	7	40	partial	partial	ADJ
ejpam-4168	7	41	dominating	dominating	NOUN
ejpam-4168	7	42	sets	set	NOUN
ejpam-4168	7	43	in	in	ADP
ejpam-4168	7	44	the	the	DET
ejpam-4168	7	45	join	join	NOUN
ejpam-4168	7	46	and	and	CCONJ
ejpam-4168	7	47	lexicographic	lexicographic	ADJ
ejpam-4168	7	48	product	product	NOUN
ejpam-4168	7	49	of	of	ADP
ejpam-4168	7	50	graphs	graph	NOUN
ejpam-4168	7	51	for	for	ADP
ejpam-4168	7	52	any	any	DET
ejpam-4168	7	53	α	α	NOUN
ejpam-4168	7	54	∈	∈	PROPN
ejpam-4168	7	55	(	(	PUNCT
ejpam-4168	7	56	0	0	NUM
ejpam-4168	7	57	,	,	PUNCT
ejpam-4168	7	58	1	1	NUM
ejpam-4168	7	59	]	]	PUNCT
ejpam-4168	7	60	and	and	CCONJ
ejpam-4168	7	61	determine	determine	VERB
ejpam-4168	7	62	the	the	DET
ejpam-4168	7	63	corresponding	corresponding	ADJ
ejpam-4168	7	64	connected	connected	ADJ
ejpam-4168	7	65	α	α	NOUN
ejpam-4168	7	66	-	-	ADJ
ejpam-4168	7	67	partial	partial	ADJ
ejpam-4168	7	68	domination	domination	NOUN
ejpam-4168	7	69	numbers	number	NOUN
ejpam-4168	7	70	of	of	ADP
ejpam-4168	7	71	graphs	graph	NOUN
ejpam-4168	7	72	resulting	result	VERB
ejpam-4168	7	73	from	from	ADP
ejpam-4168	7	74	the	the	DET
ejpam-4168	7	75	said	say	VERB
ejpam-4168	7	76	binary	binary	ADJ
ejpam-4168	7	77	operations	operation	NOUN
ejpam-4168	7	78	.	.	PUNCT
ejpam-4168	8	1	moreover	moreover	ADV
ejpam-4168	8	2	,	,	PUNCT
ejpam-4168	8	3	we	we	PRON
ejpam-4168	8	4	establish	establish	VERB
ejpam-4168	8	5	sharp	sharp	ADJ
ejpam-4168	8	6	bounds	bound	NOUN
ejpam-4168	8	7	for	for	ADP
ejpam-4168	8	8	the	the	DET
ejpam-4168	8	9	connected	connected	ADJ
ejpam-4168	8	10	α	α	NOUN
ejpam-4168	8	11	-	-	ADJ
ejpam-4168	8	12	partial	partial	ADJ
ejpam-4168	8	13	domination	domination	NOUN
ejpam-4168	8	14	numbers	number	NOUN
ejpam-4168	8	15	of	of	ADP
ejpam-4168	8	16	the	the	DET
ejpam-4168	8	17	corona	corona	NOUN
ejpam-4168	8	18	and	and	CCONJ
ejpam-4168	8	19	cartesian	cartesian	ADJ
ejpam-4168	8	20	product	product	NOUN
ejpam-4168	8	21	of	of	ADP
ejpam-4168	8	22	graphs	graph	NOUN
ejpam-4168	8	23	.	.	PUNCT
ejpam-4168	9	1	furthermore	furthermore	ADV
ejpam-4168	9	2	,	,	PUNCT
ejpam-4168	9	3	we	we	PRON
ejpam-4168	9	4	determine	determine	VERB
ejpam-4168	9	5	∂cα(g	∂cα(g	NOUN
ejpam-4168	9	6	)	)	PUNCT
ejpam-4168	9	7	of	of	ADP
ejpam-4168	9	8	some	some	DET
ejpam-4168	9	9	special	special	ADJ
ejpam-4168	9	10	graphs	graph	NOUN
ejpam-4168	9	11	when	when	SCONJ
ejpam-4168	9	12	α	α	NOUN
ejpam-4168	9	13	=	=	NOUN
ejpam-4168	9	14	1	1	NUM
ejpam-4168	9	15	2	2	NUM
ejpam-4168	9	16	.	.	PUNCT
ejpam-4168	10	1	several	several	ADJ
ejpam-4168	10	2	realization	realization	NOUN
ejpam-4168	10	3	problems	problem	NOUN
ejpam-4168	10	4	are	be	AUX
ejpam-4168	10	5	also	also	ADV
ejpam-4168	10	6	generated	generate	VERB
ejpam-4168	10	7	in	in	ADP
ejpam-4168	10	8	this	this	DET
ejpam-4168	10	9	paper	paper	NOUN
ejpam-4168	10	10	.	.	PUNCT
ejpam-4168	11	1	2020	2020	NUM
ejpam-4168	11	2	mathematics	mathematic	NOUN
ejpam-4168	11	3	subject	subject	NOUN
ejpam-4168	11	4	classifications	classification	NOUN
ejpam-4168	11	5	:	:	PUNCT
ejpam-4168	11	6	05c69	05c69	X
ejpam-4168	11	7	key	key	ADJ
ejpam-4168	11	8	words	word	NOUN
ejpam-4168	11	9	and	and	CCONJ
ejpam-4168	11	10	phrases	phrase	NOUN
ejpam-4168	11	11	:	:	PUNCT
ejpam-4168	11	12	partial	partial	ADJ
ejpam-4168	11	13	domination	domination	NOUN
ejpam-4168	11	14	,	,	PUNCT
ejpam-4168	11	15	connected	connect	VERB
ejpam-4168	11	16	partial	partial	ADJ
ejpam-4168	11	17	domination	domination	NOUN
ejpam-4168	11	18	,	,	PUNCT
ejpam-4168	11	19	join	join	NOUN
ejpam-4168	11	20	,	,	PUNCT
ejpam-4168	11	21	corona	corona	PROPN
ejpam-4168	11	22	,	,	PUNCT
ejpam-4168	11	23	lexicographic	lexicographic	ADJ
ejpam-4168	11	24	product	product	NOUN
ejpam-4168	11	25	,	,	PUNCT
ejpam-4168	11	26	cartesian	cartesian	ADJ
ejpam-4168	11	27	product	product	NOUN
ejpam-4168	11	28	1	1	NUM
ejpam-4168	11	29	.	.	PUNCT
ejpam-4168	11	30	introduction	introduction	NOUN
ejpam-4168	11	31	the	the	DET
ejpam-4168	11	32	study	study	NOUN
ejpam-4168	11	33	of	of	ADP
ejpam-4168	11	34	domination	domination	NOUN
ejpam-4168	11	35	has	have	AUX
ejpam-4168	11	36	been	be	AUX
ejpam-4168	11	37	an	an	DET
ejpam-4168	11	38	extensively	extensively	ADV
ejpam-4168	11	39	investigated	investigate	VERB
ejpam-4168	11	40	subject	subject	NOUN
ejpam-4168	11	41	in	in	ADP
ejpam-4168	11	42	graph	graph	NOUN
ejpam-4168	11	43	theory	theory	NOUN
ejpam-4168	11	44	.	.	PUNCT
ejpam-4168	12	1	specifically	specifically	ADV
ejpam-4168	12	2	,	,	PUNCT
ejpam-4168	12	3	many	many	ADJ
ejpam-4168	12	4	research	research	NOUN
ejpam-4168	12	5	studies	study	NOUN
ejpam-4168	12	6	have	have	AUX
ejpam-4168	12	7	been	be	AUX
ejpam-4168	12	8	made	make	VERB
ejpam-4168	12	9	concerning	concern	VERB
ejpam-4168	12	10	the	the	DET
ejpam-4168	12	11	concepts	concept	NOUN
ejpam-4168	12	12	of	of	ADP
ejpam-4168	12	13	”	"	PUNCT
ejpam-4168	12	14	dominating	dominating	NOUN
ejpam-4168	12	15	set	set	NOUN
ejpam-4168	12	16	”	"	PUNCT
ejpam-4168	12	17	and	and	CCONJ
ejpam-4168	12	18	”	"	PUNCT
ejpam-4168	12	19	domination	domination	NOUN
ejpam-4168	12	20	number	number	NOUN
ejpam-4168	12	21	”	"	PUNCT
ejpam-4168	12	22	which	which	PRON
ejpam-4168	12	23	were	be	AUX
ejpam-4168	12	24	first	first	ADV
ejpam-4168	12	25	introduced	introduce	VERB
ejpam-4168	12	26	by	by	ADP
ejpam-4168	12	27	oystein	oystein	ADJ
ejpam-4168	12	28	ore	ore	NOUN
ejpam-4168	12	29	in	in	ADP
ejpam-4168	12	30	1962	1962	NUM
ejpam-4168	12	31	[	[	X
ejpam-4168	12	32	1	1	NUM
ejpam-4168	12	33	]	]	PUNCT
ejpam-4168	12	34	.	.	PUNCT
ejpam-4168	13	1	a	a	DET
ejpam-4168	13	2	dominating	dominating	NOUN
ejpam-4168	13	3	set	set	NOUN
ejpam-4168	13	4	d	d	PROPN
ejpam-4168	13	5	⊆	⊆	NUM
ejpam-4168	13	6	v	v	ADP
ejpam-4168	13	7	(	(	PUNCT
ejpam-4168	13	8	g	g	NOUN
ejpam-4168	13	9	)	)	PUNCT
ejpam-4168	13	10	for	for	ADP
ejpam-4168	13	11	a	a	DET
ejpam-4168	13	12	graph	graph	NOUN
ejpam-4168	13	13	g	g	NOUN
ejpam-4168	13	14	=	=	PUNCT
ejpam-4168	13	15	(	(	PUNCT
ejpam-4168	13	16	v	v	NOUN
ejpam-4168	13	17	(	(	PUNCT
ejpam-4168	13	18	g	g	NOUN
ejpam-4168	13	19	)	)	PUNCT
ejpam-4168	13	20	,	,	PUNCT
ejpam-4168	13	21	e(g	e(g	PROPN
ejpam-4168	13	22	)	)	PUNCT
ejpam-4168	13	23	)	)	PUNCT
ejpam-4168	13	24	is	be	AUX
ejpam-4168	13	25	a	a	DET
ejpam-4168	13	26	set	set	NOUN
ejpam-4168	13	27	where	where	SCONJ
ejpam-4168	13	28	every	every	DET
ejpam-4168	13	29	vertex	vertex	NOUN
ejpam-4168	13	30	u	u	NOUN
ejpam-4168	13	31	∈	∈	PROPN
ejpam-4168	13	32	v	v	ADP
ejpam-4168	13	33	(	(	PUNCT
ejpam-4168	13	34	g	g	NOUN
ejpam-4168	13	35	)	)	PUNCT
ejpam-4168	13	36	\	\	PUNCT
ejpam-4168	14	1	d	d	NOUN
ejpam-4168	14	2	is	be	AUX
ejpam-4168	14	3	adjacent	adjacent	ADJ
ejpam-4168	14	4	to	to	ADP
ejpam-4168	14	5	some	some	DET
ejpam-4168	14	6	vertex	vertex	NOUN
ejpam-4168	14	7	v	v	ADP
ejpam-4168	14	8	∈	∈	PROPN
ejpam-4168	15	1	d	d	ADP
ejpam-4168	15	2	such	such	ADJ
ejpam-4168	15	3	that	that	DET
ejpam-4168	15	4	uv	uv	PROPN
ejpam-4168	15	5	∈	∈	PROPN
ejpam-4168	15	6	e(g	e(g	PROPN
ejpam-4168	15	7	)	)	PUNCT
ejpam-4168	15	8	.	.	PUNCT
ejpam-4168	16	1	the	the	DET
ejpam-4168	16	2	domination	domination	NOUN
ejpam-4168	16	3	number	number	NOUN
ejpam-4168	16	4	of	of	ADP
ejpam-4168	16	5	g	g	NOUN
ejpam-4168	16	6	,	,	PUNCT
ejpam-4168	16	7	denoted	denote	VERB
ejpam-4168	16	8	by	by	ADP
ejpam-4168	16	9	γ(g	γ(g	PROPN
ejpam-4168	16	10	)	)	PUNCT
ejpam-4168	16	11	,	,	PUNCT
ejpam-4168	16	12	is	be	AUX
ejpam-4168	16	13	the	the	DET
ejpam-4168	16	14	minimum	minimum	ADJ
ejpam-4168	16	15	cardinality	cardinality	NOUN
ejpam-4168	16	16	of	of	ADP
ejpam-4168	16	17	a	a	DET
ejpam-4168	16	18	dominating	dominating	NOUN
ejpam-4168	16	19	set	set	VERB
ejpam-4168	16	20	in	in	ADP
ejpam-4168	16	21	g.	g.	PROPN
ejpam-4168	16	22	a	a	DET
ejpam-4168	16	23	γ	γ	X
ejpam-4168	16	24	-	-	PUNCT
ejpam-4168	16	25	set	set	NOUN
ejpam-4168	16	26	in	in	ADP
ejpam-4168	16	27	g	g	PROPN
ejpam-4168	16	28	is	be	AUX
ejpam-4168	16	29	any	any	DET
ejpam-4168	16	30	dominating	dominating	NOUN
ejpam-4168	16	31	set	set	VERB
ejpam-4168	16	32	in	in	ADP
ejpam-4168	16	33	g	g	PROPN
ejpam-4168	16	34	of	of	ADP
ejpam-4168	16	35	cardinality	cardinality	PROPN
ejpam-4168	16	36	γ(g	γ(g	PROPN
ejpam-4168	16	37	)	)	PUNCT
ejpam-4168	16	38	.	.	PUNCT
ejpam-4168	17	1	we	we	PRON
ejpam-4168	17	2	refer	refer	VERB
ejpam-4168	17	3	the	the	DET
ejpam-4168	17	4	reader	reader	NOUN
ejpam-4168	17	5	to	to	ADP
ejpam-4168	17	6	t.	t.	PROPN
ejpam-4168	17	7	haynes	haynes	PROPN
ejpam-4168	17	8	∗corresponding	∗corresponde	VERB
ejpam-4168	17	9	author	author	NOUN
ejpam-4168	17	10	.	.	PUNCT
ejpam-4168	18	1	doi	doi	NOUN
ejpam-4168	18	2	:	:	PUNCT
ejpam-4168	18	3	https://doi.org/10.29020/nybg.ejpam.v14i4.4168	https://doi.org/10.29020/nybg.ejpam.v14i4.4168	NOUN
ejpam-4168	18	4	email	email	NOUN
ejpam-4168	18	5	addresses	address	NOUN
ejpam-4168	18	6	:	:	PUNCT
ejpam-4168	18	7	jessamae.cabulao@g.msuiit.edu.ph	jessamae.cabulao@g.msuiit.edu.ph	PROPN
ejpam-4168	18	8	(	(	PUNCT
ejpam-4168	18	9	j.m	j.m	PROPN
ejpam-4168	18	10	.	.	PROPN
ejpam-4168	18	11	cabulao	cabulao	PROPN
ejpam-4168	18	12	)	)	PUNCT
ejpam-4168	18	13	,	,	PUNCT
ejpam-4168	18	14	rowena.isla@g.msuiit.edu.ph	rowena.isla@g.msuiit.edu.ph	PROPN
ejpam-4168	18	15	(	(	PUNCT
ejpam-4168	18	16	r.	r.	PROPN
ejpam-4168	18	17	isla	isla	PROPN
ejpam-4168	18	18	)	)	PUNCT
ejpam-4168	18	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4168	19	1	1490	1490	NUM
ejpam-4168	20	1	©	©	PROPN
ejpam-4168	20	2	2021	2021	NUM
ejpam-4168	20	3	ejpam	ejpam	VERB
ejpam-4168	20	4	all	all	DET
ejpam-4168	20	5	rights	right	NOUN
ejpam-4168	20	6	reserved	reserve	VERB
ejpam-4168	20	7	.	.	PUNCT
ejpam-4168	21	1	j.m	j.m	PROPN
ejpam-4168	21	2	.	.	PROPN
ejpam-4168	21	3	cabulao	cabulao	PROPN
ejpam-4168	21	4	,	,	PUNCT
ejpam-4168	21	5	r.	r.	PROPN
ejpam-4168	21	6	isla	isla	PROPN
ejpam-4168	21	7	/	/	SYM
ejpam-4168	21	8	eur	eur	PROPN
ejpam-4168	21	9	.	.	PUNCT
ejpam-4168	22	1	j.	j.	PROPN
ejpam-4168	22	2	pure	pure	PROPN
ejpam-4168	22	3	appl	appl	PROPN
ejpam-4168	22	4	.	.	PROPN
ejpam-4168	22	5	math	math	PROPN
ejpam-4168	22	6	,	,	PUNCT
ejpam-4168	22	7	14	14	NUM
ejpam-4168	22	8	(	(	PUNCT
ejpam-4168	22	9	4	4	NUM
ejpam-4168	22	10	)	)	PUNCT
ejpam-4168	22	11	(	(	PUNCT
ejpam-4168	22	12	2021	2021	NUM
ejpam-4168	22	13	)	)	PUNCT
ejpam-4168	22	14	,	,	PUNCT
ejpam-4168	22	15	1490	1490	NUM
ejpam-4168	22	16	-	-	SYM
ejpam-4168	22	17	1506	1506	NUM
ejpam-4168	22	18	1491	1491	NUM
ejpam-4168	22	19	et	et	NOUN
ejpam-4168	22	20	al	al	PROPN
ejpam-4168	22	21	.	.	PUNCT
ejpam-4168	23	1	[	[	X
ejpam-4168	23	2	6	6	NUM
ejpam-4168	23	3	]	]	PUNCT
ejpam-4168	23	4	for	for	ADP
ejpam-4168	23	5	a	a	DET
ejpam-4168	23	6	comprehensive	comprehensive	ADJ
ejpam-4168	23	7	treatment	treatment	NOUN
ejpam-4168	23	8	of	of	ADP
ejpam-4168	23	9	the	the	DET
ejpam-4168	23	10	theoretical	theoretical	ADJ
ejpam-4168	23	11	,	,	PUNCT
ejpam-4168	23	12	algorithmic	algorithmic	ADJ
ejpam-4168	23	13	,	,	PUNCT
ejpam-4168	23	14	and	and	CCONJ
ejpam-4168	23	15	application	application	NOUN
ejpam-4168	23	16	aspects	aspect	NOUN
ejpam-4168	23	17	of	of	ADP
ejpam-4168	23	18	domination	domination	NOUN
ejpam-4168	23	19	in	in	ADP
ejpam-4168	23	20	graphs	graph	NOUN
ejpam-4168	23	21	,	,	PUNCT
ejpam-4168	23	22	as	as	ADV
ejpam-4168	23	23	well	well	ADV
ejpam-4168	23	24	as	as	ADP
ejpam-4168	23	25	to	to	ADP
ejpam-4168	23	26	varieties	variety	NOUN
ejpam-4168	23	27	of	of	ADP
ejpam-4168	23	28	domination	domination	NOUN
ejpam-4168	23	29	.	.	PUNCT
ejpam-4168	24	1	the	the	DET
ejpam-4168	24	2	connected	connected	ADJ
ejpam-4168	24	3	domination	domination	NOUN
ejpam-4168	24	4	in	in	ADP
ejpam-4168	24	5	graphs	graph	NOUN
ejpam-4168	24	6	was	be	AUX
ejpam-4168	24	7	first	first	ADV
ejpam-4168	24	8	defined	define	VERB
ejpam-4168	24	9	by	by	ADP
ejpam-4168	24	10	e.	e.	PROPN
ejpam-4168	24	11	sampathkumarin	sampathkumarin	PROPN
ejpam-4168	24	12	and	and	CCONJ
ejpam-4168	24	13	h.b	h.b	PROPN
ejpam-4168	24	14	.	.	PROPN
ejpam-4168	24	15	walikar	walikar	NOUN
ejpam-4168	24	16	in	in	ADP
ejpam-4168	24	17	1979	1979	NUM
ejpam-4168	24	18	[	[	X
ejpam-4168	24	19	12	12	NUM
ejpam-4168	24	20	]	]	PUNCT
ejpam-4168	24	21	.	.	PUNCT
ejpam-4168	25	1	a	a	DET
ejpam-4168	25	2	connected	connect	VERB
ejpam-4168	25	3	dominating	dominating	NOUN
ejpam-4168	25	4	set	set	NOUN
ejpam-4168	25	5	d	d	PROPN
ejpam-4168	25	6	⊆	⊆	NUM
ejpam-4168	25	7	v	v	ADP
ejpam-4168	25	8	(	(	PUNCT
ejpam-4168	25	9	g	g	NOUN
ejpam-4168	25	10	)	)	PUNCT
ejpam-4168	25	11	for	for	ADP
ejpam-4168	25	12	a	a	DET
ejpam-4168	25	13	graphg	graphg	NOUN
ejpam-4168	25	14	=	=	SYM
ejpam-4168	25	15	(	(	PUNCT
ejpam-4168	25	16	v	v	NOUN
ejpam-4168	25	17	(	(	PUNCT
ejpam-4168	25	18	g	g	NOUN
ejpam-4168	25	19	)	)	PUNCT
ejpam-4168	25	20	,	,	PUNCT
ejpam-4168	25	21	e(g	e(g	PROPN
ejpam-4168	25	22	)	)	PUNCT
ejpam-4168	25	23	)	)	PUNCT
ejpam-4168	25	24	is	be	AUX
ejpam-4168	25	25	a	a	DET
ejpam-4168	25	26	dominating	dominating	NOUN
ejpam-4168	25	27	set	set	NOUN
ejpam-4168	25	28	where	where	SCONJ
ejpam-4168	25	29	the	the	DET
ejpam-4168	25	30	subgraph	subgraph	NOUN
ejpam-4168	25	31	⟨d⟩	⟨d⟩	PROPN
ejpam-4168	25	32	induced	induce	VERB
ejpam-4168	25	33	by	by	ADP
ejpam-4168	25	34	the	the	DET
ejpam-4168	25	35	set	set	PROPN
ejpam-4168	25	36	d	d	PROPN
ejpam-4168	25	37	is	be	AUX
ejpam-4168	25	38	connected	connect	VERB
ejpam-4168	25	39	.	.	PUNCT
ejpam-4168	26	1	the	the	DET
ejpam-4168	26	2	connected	connected	ADJ
ejpam-4168	26	3	domination	domination	NOUN
ejpam-4168	26	4	number	number	NOUN
ejpam-4168	26	5	of	of	ADP
ejpam-4168	26	6	g	g	NOUN
ejpam-4168	26	7	,	,	PUNCT
ejpam-4168	26	8	denoted	denote	VERB
ejpam-4168	26	9	by	by	ADP
ejpam-4168	26	10	γc(g	γc(g	NOUN
ejpam-4168	26	11	)	)	PUNCT
ejpam-4168	26	12	,	,	PUNCT
ejpam-4168	26	13	is	be	AUX
ejpam-4168	26	14	the	the	DET
ejpam-4168	26	15	minimum	minimum	ADJ
ejpam-4168	26	16	cardinality	cardinality	NOUN
ejpam-4168	26	17	of	of	ADP
ejpam-4168	26	18	a	a	DET
ejpam-4168	26	19	connected	connect	VERB
ejpam-4168	26	20	dominating	dominating	NOUN
ejpam-4168	26	21	set	set	VERB
ejpam-4168	26	22	in	in	ADP
ejpam-4168	26	23	g.	g.	PROPN
ejpam-4168	26	24	a	a	DET
ejpam-4168	26	25	γc	γc	NOUN
ejpam-4168	26	26	-	-	PUNCT
ejpam-4168	26	27	set	set	NOUN
ejpam-4168	26	28	in	in	ADP
ejpam-4168	26	29	g	g	PROPN
ejpam-4168	26	30	is	be	AUX
ejpam-4168	26	31	any	any	DET
ejpam-4168	26	32	dominating	dominating	NOUN
ejpam-4168	26	33	set	set	VERB
ejpam-4168	26	34	in	in	ADP
ejpam-4168	26	35	g	g	PROPN
ejpam-4168	26	36	of	of	ADP
ejpam-4168	26	37	cardinality	cardinality	PROPN
ejpam-4168	26	38	γc(g	γc(g	PUNCT
ejpam-4168	26	39	)	)	PUNCT
ejpam-4168	27	1	[	[	X
ejpam-4168	27	2	11	11	NUM
ejpam-4168	27	3	]	]	PUNCT
ejpam-4168	27	4	.	.	PUNCT
ejpam-4168	28	1	in	in	ADP
ejpam-4168	28	2	2009	2009	NUM
ejpam-4168	28	3	,	,	PUNCT
ejpam-4168	28	4	w.	w.	PROPN
ejpam-4168	28	5	duckworth	duckworth	PROPN
ejpam-4168	28	6	and	and	CCONJ
ejpam-4168	28	7	b.	b.	PROPN
ejpam-4168	28	8	mans	mans	PROPN
ejpam-4168	29	1	[	[	X
ejpam-4168	29	2	4	4	NUM
ejpam-4168	29	3	]	]	PUNCT
ejpam-4168	29	4	presented	present	VERB
ejpam-4168	29	5	several	several	ADJ
ejpam-4168	29	6	algorithms	algorithm	NOUN
ejpam-4168	29	7	for	for	ADP
ejpam-4168	29	8	finding	find	VERB
ejpam-4168	29	9	small	small	ADJ
ejpam-4168	29	10	connected	connected	ADJ
ejpam-4168	29	11	dominating	dominating	NOUN
ejpam-4168	29	12	sets	set	NOUN
ejpam-4168	29	13	of	of	ADP
ejpam-4168	29	14	regular	regular	ADJ
ejpam-4168	29	15	graphs	graph	NOUN
ejpam-4168	29	16	.	.	PUNCT
ejpam-4168	30	1	in	in	ADP
ejpam-4168	30	2	2012	2012	NUM
ejpam-4168	30	3	,	,	PUNCT
ejpam-4168	30	4	h.	h.	PROPN
ejpam-4168	30	5	karami	karami	PROPN
ejpam-4168	30	6	et	et	PROPN
ejpam-4168	30	7	al	al	PROPN
ejpam-4168	30	8	.	.	PUNCT
ejpam-4168	31	1	[	[	X
ejpam-4168	31	2	8	8	NUM
ejpam-4168	31	3	]	]	X
ejpam-4168	31	4	determined	determine	VERB
ejpam-4168	31	5	sharp	sharp	ADJ
ejpam-4168	31	6	bounds	bound	NOUN
ejpam-4168	31	7	on	on	ADP
ejpam-4168	31	8	the	the	DET
ejpam-4168	31	9	sum	sum	NOUN
ejpam-4168	31	10	of	of	ADP
ejpam-4168	31	11	the	the	DET
ejpam-4168	31	12	connected	connected	ADJ
ejpam-4168	31	13	domination	domination	NOUN
ejpam-4168	31	14	number	number	NOUN
ejpam-4168	31	15	of	of	ADP
ejpam-4168	31	16	a	a	DET
ejpam-4168	31	17	graph	graph	NOUN
ejpam-4168	31	18	and	and	CCONJ
ejpam-4168	31	19	its	its	PRON
ejpam-4168	31	20	complement	complement	NOUN
ejpam-4168	31	21	.	.	PUNCT
ejpam-4168	32	1	one	one	NUM
ejpam-4168	32	2	of	of	ADP
ejpam-4168	32	3	the	the	DET
ejpam-4168	32	4	many	many	ADJ
ejpam-4168	32	5	important	important	ADJ
ejpam-4168	32	6	applications	application	NOUN
ejpam-4168	32	7	of	of	ADP
ejpam-4168	32	8	connected	connected	ADJ
ejpam-4168	32	9	domination	domination	NOUN
ejpam-4168	32	10	is	be	AUX
ejpam-4168	32	11	in	in	ADP
ejpam-4168	32	12	wireless	wireless	ADJ
ejpam-4168	32	13	networks	network	NOUN
ejpam-4168	32	14	.	.	PUNCT
ejpam-4168	33	1	in	in	ADP
ejpam-4168	33	2	order	order	NOUN
ejpam-4168	33	3	to	to	PART
ejpam-4168	33	4	achieve	achieve	VERB
ejpam-4168	33	5	scalability	scalability	NOUN
ejpam-4168	33	6	and	and	CCONJ
ejpam-4168	33	7	efficiency	efficiency	NOUN
ejpam-4168	33	8	in	in	ADP
ejpam-4168	33	9	the	the	DET
ejpam-4168	33	10	routing	routing	NOUN
ejpam-4168	33	11	of	of	ADP
ejpam-4168	33	12	messages	message	NOUN
ejpam-4168	33	13	in	in	ADP
ejpam-4168	33	14	mobile	mobile	ADJ
ejpam-4168	33	15	ad	ad	X
ejpam-4168	33	16	hoc	hoc	X
ejpam-4168	33	17	networks	network	NOUN
ejpam-4168	33	18	(	(	PUNCT
ejpam-4168	33	19	manets	manet	NOUN
ejpam-4168	33	20	)	)	PUNCT
ejpam-4168	33	21	,	,	PUNCT
ejpam-4168	33	22	new	new	ADJ
ejpam-4168	33	23	algorithms	algorithm	NOUN
ejpam-4168	33	24	have	have	AUX
ejpam-4168	33	25	emerged	emerge	VERB
ejpam-4168	33	26	that	that	PRON
ejpam-4168	33	27	rely	rely	VERB
ejpam-4168	33	28	on	on	ADP
ejpam-4168	33	29	a	a	DET
ejpam-4168	33	30	virtual	virtual	ADJ
ejpam-4168	33	31	network	network	NOUN
ejpam-4168	33	32	infrastructure	infrastructure	NOUN
ejpam-4168	33	33	,	,	PUNCT
ejpam-4168	33	34	which	which	PRON
ejpam-4168	33	35	organizes	organize	VERB
ejpam-4168	33	36	ordinary	ordinary	ADJ
ejpam-4168	33	37	nodes	node	NOUN
ejpam-4168	33	38	into	into	ADP
ejpam-4168	33	39	a	a	DET
ejpam-4168	33	40	hierarchy	hierarchy	NOUN
ejpam-4168	33	41	.	.	PUNCT
ejpam-4168	34	1	the	the	DET
ejpam-4168	34	2	construction	construction	NOUN
ejpam-4168	34	3	of	of	ADP
ejpam-4168	34	4	this	this	DET
ejpam-4168	34	5	infrastructure	infrastructure	NOUN
ejpam-4168	34	6	is	be	AUX
ejpam-4168	34	7	the	the	DET
ejpam-4168	34	8	primary	primary	ADJ
ejpam-4168	34	9	application	application	NOUN
ejpam-4168	34	10	of	of	ADP
ejpam-4168	34	11	connected	connected	ADJ
ejpam-4168	34	12	dominating	dominating	NOUN
ejpam-4168	34	13	sets	set	NOUN
ejpam-4168	34	14	(	(	PUNCT
ejpam-4168	34	15	cdss	cdss	NOUN
ejpam-4168	34	16	)	)	PUNCT
ejpam-4168	34	17	in	in	ADP
ejpam-4168	34	18	wireless	wireless	ADJ
ejpam-4168	34	19	networks	network	NOUN
ejpam-4168	34	20	[	[	X
ejpam-4168	34	21	13	13	NUM
ejpam-4168	34	22	]	]	PUNCT
ejpam-4168	34	23	.	.	PUNCT
ejpam-4168	35	1	a	a	DET
ejpam-4168	35	2	research	research	NOUN
ejpam-4168	35	3	work	work	NOUN
ejpam-4168	35	4	in	in	ADP
ejpam-4168	35	5	2017	2017	NUM
ejpam-4168	35	6	by	by	ADP
ejpam-4168	35	7	s.	s.	PROPN
ejpam-4168	35	8	kaspar	kaspar	PROPN
ejpam-4168	35	9	et	et	PROPN
ejpam-4168	35	10	al	al	PROPN
ejpam-4168	35	11	.	.	PUNCT
ejpam-4168	36	1	[	[	X
ejpam-4168	36	2	5	5	X
ejpam-4168	36	3	]	]	PUNCT
ejpam-4168	36	4	that	that	PRON
ejpam-4168	36	5	utilizes	utilize	VERB
ejpam-4168	36	6	connected	connected	ADJ
ejpam-4168	36	7	domination	domination	NOUN
ejpam-4168	36	8	has	have	AUX
ejpam-4168	36	9	resulted	result	VERB
ejpam-4168	36	10	out	out	ADP
ejpam-4168	36	11	of	of	ADP
ejpam-4168	36	12	the	the	DET
ejpam-4168	36	13	real	real	ADJ
ejpam-4168	36	14	life	life	NOUN
ejpam-4168	36	15	application	application	NOUN
ejpam-4168	36	16	of	of	ADP
ejpam-4168	36	17	improving	improve	VERB
ejpam-4168	36	18	an	an	DET
ejpam-4168	36	19	existing	exist	VERB
ejpam-4168	36	20	facility	facility	NOUN
ejpam-4168	36	21	location	location	NOUN
ejpam-4168	36	22	network	network	NOUN
ejpam-4168	36	23	into	into	ADP
ejpam-4168	36	24	a	a	DET
ejpam-4168	36	25	stronger	strong	ADJ
ejpam-4168	36	26	and	and	CCONJ
ejpam-4168	36	27	more	more	ADV
ejpam-4168	36	28	reliable	reliable	ADJ
ejpam-4168	36	29	one	one	NUM
ejpam-4168	36	30	.	.	PUNCT
ejpam-4168	37	1	it	it	PRON
ejpam-4168	37	2	can	can	AUX
ejpam-4168	37	3	be	be	AUX
ejpam-4168	37	4	observed	observe	VERB
ejpam-4168	37	5	that	that	SCONJ
ejpam-4168	37	6	we	we	PRON
ejpam-4168	37	7	can	can	AUX
ejpam-4168	37	8	determine	determine	VERB
ejpam-4168	37	9	a	a	DET
ejpam-4168	37	10	dominating	dominating	NOUN
ejpam-4168	37	11	set	set	NOUN
ejpam-4168	37	12	s	s	PRON
ejpam-4168	37	13	if	if	SCONJ
ejpam-4168	37	14	the	the	DET
ejpam-4168	37	15	closed	closed	ADJ
ejpam-4168	37	16	neighborhood	neighborhood	NOUN
ejpam-4168	37	17	n	n	NOUN
ejpam-4168	38	1	[	[	X
ejpam-4168	38	2	s	s	X
ejpam-4168	38	3	]	]	X
ejpam-4168	38	4	is	be	AUX
ejpam-4168	38	5	equal	equal	ADJ
ejpam-4168	38	6	to	to	ADP
ejpam-4168	38	7	the	the	DET
ejpam-4168	38	8	vertex	vertex	NOUN
ejpam-4168	38	9	set	set	VERB
ejpam-4168	38	10	v	v	NOUN
ejpam-4168	38	11	(	(	PUNCT
ejpam-4168	38	12	g	g	NOUN
ejpam-4168	38	13	)	)	PUNCT
ejpam-4168	38	14	of	of	ADP
ejpam-4168	38	15	g.	g.	PROPN
ejpam-4168	38	16	however	however	ADV
ejpam-4168	38	17	,	,	PUNCT
ejpam-4168	38	18	there	there	PRON
ejpam-4168	38	19	may	may	AUX
ejpam-4168	38	20	be	be	AUX
ejpam-4168	38	21	situations	situation	NOUN
ejpam-4168	38	22	or	or	CCONJ
ejpam-4168	38	23	instances	instance	NOUN
ejpam-4168	38	24	where	where	SCONJ
ejpam-4168	38	25	providing	provide	VERB
ejpam-4168	38	26	a	a	DET
ejpam-4168	38	27	complete	complete	ADJ
ejpam-4168	38	28	coverage	coverage	NOUN
ejpam-4168	38	29	of	of	ADP
ejpam-4168	38	30	a	a	DET
ejpam-4168	38	31	network	network	NOUN
ejpam-4168	38	32	will	will	AUX
ejpam-4168	38	33	not	not	PART
ejpam-4168	38	34	be	be	AUX
ejpam-4168	38	35	necessary	necessary	ADJ
ejpam-4168	38	36	.	.	PUNCT
ejpam-4168	39	1	thus	thus	ADV
ejpam-4168	39	2	,	,	PUNCT
ejpam-4168	39	3	a	a	DET
ejpam-4168	39	4	new	new	ADJ
ejpam-4168	39	5	notion	notion	NOUN
ejpam-4168	39	6	called	call	VERB
ejpam-4168	39	7	partial	partial	ADJ
ejpam-4168	39	8	domination	domination	NOUN
ejpam-4168	39	9	in	in	ADP
ejpam-4168	39	10	graphs	graph	NOUN
ejpam-4168	39	11	was	be	AUX
ejpam-4168	39	12	developed	develop	VERB
ejpam-4168	39	13	.	.	PUNCT
ejpam-4168	40	1	in	in	ADP
ejpam-4168	40	2	this	this	DET
ejpam-4168	40	3	case	case	NOUN
ejpam-4168	40	4	,	,	PUNCT
ejpam-4168	40	5	it	it	PRON
ejpam-4168	40	6	will	will	AUX
ejpam-4168	40	7	suffice	suffice	VERB
ejpam-4168	40	8	to	to	PART
ejpam-4168	40	9	dominate	dominate	VERB
ejpam-4168	40	10	only	only	ADV
ejpam-4168	40	11	a	a	DET
ejpam-4168	40	12	certain	certain	ADJ
ejpam-4168	40	13	number	number	NOUN
ejpam-4168	40	14	of	of	ADP
ejpam-4168	40	15	nodes	node	NOUN
ejpam-4168	40	16	in	in	ADP
ejpam-4168	40	17	a	a	DET
ejpam-4168	40	18	network	network	NOUN
ejpam-4168	40	19	[	[	X
ejpam-4168	40	20	2	2	NUM
ejpam-4168	40	21	,	,	PUNCT
ejpam-4168	40	22	9	9	NUM
ejpam-4168	40	23	]	]	PUNCT
ejpam-4168	40	24	.	.	PUNCT
ejpam-4168	41	1	in	in	ADP
ejpam-4168	41	2	2017	2017	NUM
ejpam-4168	41	3	,	,	PUNCT
ejpam-4168	41	4	both	both	DET
ejpam-4168	41	5	case	case	NOUN
ejpam-4168	41	6	et	et	NOUN
ejpam-4168	41	7	al	al	PROPN
ejpam-4168	41	8	.	.	PUNCT
ejpam-4168	42	1	[	[	X
ejpam-4168	42	2	9	9	NUM
ejpam-4168	42	3	]	]	PUNCT
ejpam-4168	42	4	and	and	CCONJ
ejpam-4168	42	5	das	das	PROPN
ejpam-4168	42	6	[	[	X
ejpam-4168	42	7	3	3	NUM
ejpam-4168	42	8	]	]	PUNCT
ejpam-4168	42	9	independently	independently	ADV
ejpam-4168	42	10	studied	study	VERB
ejpam-4168	42	11	α	α	PRON
ejpam-4168	42	12	-	-	ADJ
ejpam-4168	42	13	partial	partial	ADJ
ejpam-4168	42	14	domination	domination	NOUN
ejpam-4168	42	15	in	in	ADP
ejpam-4168	42	16	graphs	graph	NOUN
ejpam-4168	42	17	and	and	CCONJ
ejpam-4168	42	18	later	later	ADV
ejpam-4168	42	19	on	on	ADV
ejpam-4168	42	20	published	publish	VERB
ejpam-4168	42	21	their	their	PRON
ejpam-4168	42	22	respective	respective	ADJ
ejpam-4168	42	23	papers	paper	NOUN
ejpam-4168	42	24	on	on	ADP
ejpam-4168	42	25	the	the	DET
ejpam-4168	42	26	subject	subject	NOUN
ejpam-4168	42	27	.	.	PUNCT
ejpam-4168	43	1	das	das	PROPN
ejpam-4168	43	2	worked	work	VERB
ejpam-4168	43	3	on	on	ADP
ejpam-4168	43	4	the	the	DET
ejpam-4168	43	5	general	general	ADJ
ejpam-4168	43	6	value	value	NOUN
ejpam-4168	43	7	of	of	ADP
ejpam-4168	43	8	α	α	NOUN
ejpam-4168	43	9	with	with	ADP
ejpam-4168	43	10	0	0	NUM
ejpam-4168	43	11	<	<	X
ejpam-4168	43	12	α	α	PROPN
ejpam-4168	43	13	≤	≤	NUM
ejpam-4168	43	14	1	1	NUM
ejpam-4168	43	15	,	,	PUNCT
ejpam-4168	43	16	whereas	whereas	SCONJ
ejpam-4168	43	17	case	case	NOUN
ejpam-4168	43	18	et	et	PROPN
ejpam-4168	43	19	al	al	PROPN
ejpam-4168	43	20	.	.	PROPN
ejpam-4168	44	1	primarily	primarily	ADV
ejpam-4168	44	2	focused	focus	VERB
ejpam-4168	44	3	on	on	ADP
ejpam-4168	44	4	α	α	NOUN
ejpam-4168	44	5	=	=	SYM
ejpam-4168	44	6	1	1	NUM
ejpam-4168	44	7	2	2	NUM
ejpam-4168	44	8	where	where	SCONJ
ejpam-4168	44	9	the	the	DET
ejpam-4168	44	10	sets	set	NOUN
ejpam-4168	44	11	of	of	ADP
ejpam-4168	44	12	vertices	vertex	NOUN
ejpam-4168	44	13	dominate	dominate	VERB
ejpam-4168	44	14	only	only	ADV
ejpam-4168	44	15	at	at	ADV
ejpam-4168	44	16	least	least	ADJ
ejpam-4168	44	17	half	half	NOUN
ejpam-4168	44	18	of	of	ADP
ejpam-4168	44	19	the	the	DET
ejpam-4168	44	20	vertex	vertex	NOUN
ejpam-4168	44	21	set	set	NOUN
ejpam-4168	44	22	of	of	ADP
ejpam-4168	44	23	a	a	DET
ejpam-4168	44	24	graph	graph	NOUN
ejpam-4168	44	25	.	.	PUNCT
ejpam-4168	45	1	in	in	ADP
ejpam-4168	45	2	the	the	DET
ejpam-4168	45	3	same	same	ADJ
ejpam-4168	45	4	year	year	NOUN
ejpam-4168	45	5	,	,	PUNCT
ejpam-4168	45	6	y.	y.	PROPN
ejpam-4168	45	7	caro	caro	PROPN
ejpam-4168	45	8	and	and	CCONJ
ejpam-4168	45	9	a.	a.	NOUN
ejpam-4168	45	10	hansberg	hansberg	PROPN
ejpam-4168	46	1	[	[	X
ejpam-4168	46	2	2	2	X
ejpam-4168	46	3	]	]	PUNCT
ejpam-4168	46	4	proved	prove	VERB
ejpam-4168	46	5	that	that	SCONJ
ejpam-4168	46	6	if	if	SCONJ
ejpam-4168	46	7	g	g	PROPN
ejpam-4168	46	8	is	be	AUX
ejpam-4168	46	9	a	a	DET
ejpam-4168	46	10	connected	connected	ADJ
ejpam-4168	46	11	graph	graph	NOUN
ejpam-4168	46	12	on	on	ADP
ejpam-4168	46	13	n	n	PRON
ejpam-4168	46	14	≥	≥	NUM
ejpam-4168	46	15	6	6	NUM
ejpam-4168	46	16	vertices	vertex	NOUN
ejpam-4168	46	17	,	,	PUNCT
ejpam-4168	46	18	then	then	ADV
ejpam-4168	46	19	there	there	PRON
ejpam-4168	46	20	exists	exist	VERB
ejpam-4168	46	21	a	a	DET
ejpam-4168	46	22	set	set	NOUN
ejpam-4168	46	23	of	of	ADP
ejpam-4168	46	24	vertices	vertex	NOUN
ejpam-4168	46	25	d	d	NOUN
ejpam-4168	46	26	with	with	ADP
ejpam-4168	46	27	|d|	|d|	PROPN
ejpam-4168	46	28	≤	≤	PROPN
ejpam-4168	46	29	n	n	DET
ejpam-4168	46	30	3	3	NUM
ejpam-4168	46	31	and	and	CCONJ
ejpam-4168	46	32	such	such	ADJ
ejpam-4168	46	33	that	that	DET
ejpam-4168	46	34	v	v	NOUN
ejpam-4168	46	35	(	(	PUNCT
ejpam-4168	46	36	g)\n	g)\n	PROPN
ejpam-4168	46	37	[	[	X
ejpam-4168	46	38	d	d	X
ejpam-4168	46	39	]	]	X
ejpam-4168	46	40	is	be	AUX
ejpam-4168	46	41	an	an	DET
ejpam-4168	46	42	independent	independent	ADJ
ejpam-4168	46	43	set	set	NOUN
ejpam-4168	46	44	,	,	PUNCT
ejpam-4168	46	45	a	a	DET
ejpam-4168	46	46	result	result	NOUN
ejpam-4168	46	47	in	in	ADP
ejpam-4168	46	48	the	the	DET
ejpam-4168	46	49	direction	direction	NOUN
ejpam-4168	46	50	of	of	ADP
ejpam-4168	46	51	partial	partial	ADJ
ejpam-4168	46	52	domination	domination	NOUN
ejpam-4168	46	53	with	with	ADP
ejpam-4168	46	54	constrained	constrained	ADJ
ejpam-4168	46	55	structure	structure	NOUN
ejpam-4168	46	56	on	on	ADP
ejpam-4168	46	57	the	the	DET
ejpam-4168	46	58	graph	graph	NOUN
ejpam-4168	46	59	induced	induce	VERB
ejpam-4168	46	60	by	by	ADP
ejpam-4168	46	61	the	the	DET
ejpam-4168	46	62	non	non	ADJ
ejpam-4168	46	63	-	-	ADJ
ejpam-4168	46	64	dominated	dominate	VERB
ejpam-4168	46	65	vertices	vertex	NOUN
ejpam-4168	46	66	.	.	PUNCT
ejpam-4168	47	1	let	let	VERB
ejpam-4168	47	2	α	α	PRON
ejpam-4168	47	3	∈	∈	PROPN
ejpam-4168	47	4	(	(	PUNCT
ejpam-4168	47	5	0	0	NUM
ejpam-4168	47	6	,	,	PUNCT
ejpam-4168	47	7	1	1	NUM
ejpam-4168	47	8	]	]	PUNCT
ejpam-4168	47	9	.	.	PUNCT
ejpam-4168	48	1	an	an	DET
ejpam-4168	48	2	α	α	NUM
ejpam-4168	48	3	-	-	ADJ
ejpam-4168	48	4	partial	partial	ADJ
ejpam-4168	48	5	dominating	dominating	NOUN
ejpam-4168	48	6	set	set	NOUN
ejpam-4168	48	7	s	s	PROPN
ejpam-4168	48	8	⊆	⊆	NUM
ejpam-4168	48	9	v	v	NOUN
ejpam-4168	48	10	(	(	PUNCT
ejpam-4168	48	11	g	g	NOUN
ejpam-4168	48	12	)	)	PUNCT
ejpam-4168	48	13	for	for	ADP
ejpam-4168	48	14	a	a	DET
ejpam-4168	48	15	graph	graph	NOUN
ejpam-4168	48	16	g	g	NOUN
ejpam-4168	48	17	=	=	PUNCT
ejpam-4168	48	18	(	(	PUNCT
ejpam-4168	48	19	v	v	NOUN
ejpam-4168	48	20	(	(	PUNCT
ejpam-4168	48	21	g	g	NOUN
ejpam-4168	48	22	)	)	PUNCT
ejpam-4168	48	23	,	,	PUNCT
ejpam-4168	48	24	e(g	e(g	PROPN
ejpam-4168	48	25	)	)	PUNCT
ejpam-4168	48	26	)	)	PUNCT
ejpam-4168	48	27	is	be	AUX
ejpam-4168	48	28	a	a	DET
ejpam-4168	48	29	set	set	NOUN
ejpam-4168	48	30	where	where	SCONJ
ejpam-4168	48	31	|n	|n	PRON
ejpam-4168	48	32	[	[	X
ejpam-4168	48	33	s]|	s]|	PROPN
ejpam-4168	48	34	≥	≥	NUM
ejpam-4168	48	35	α|v	α|v	VERB
ejpam-4168	48	36	(	(	PUNCT
ejpam-4168	48	37	g)|	g)|	NOUN
ejpam-4168	48	38	.	.	PUNCT
ejpam-4168	49	1	the	the	DET
ejpam-4168	49	2	α	α	NOUN
ejpam-4168	49	3	-	-	ADJ
ejpam-4168	49	4	partial	partial	ADJ
ejpam-4168	49	5	domination	domination	NOUN
ejpam-4168	49	6	number	number	NOUN
ejpam-4168	49	7	of	of	ADP
ejpam-4168	49	8	g	g	PROPN
ejpam-4168	49	9	is	be	AUX
ejpam-4168	49	10	the	the	DET
ejpam-4168	49	11	minimum	minimum	ADJ
ejpam-4168	49	12	cardinality	cardinality	NOUN
ejpam-4168	49	13	of	of	ADP
ejpam-4168	49	14	an	an	DET
ejpam-4168	49	15	α	α	NOUN
ejpam-4168	49	16	-	-	ADJ
ejpam-4168	49	17	partial	partial	ADJ
ejpam-4168	49	18	dominating	dominating	NOUN
ejpam-4168	49	19	set	set	VERB
ejpam-4168	49	20	in	in	ADP
ejpam-4168	49	21	g	g	NOUN
ejpam-4168	49	22	,	,	PUNCT
ejpam-4168	49	23	and	and	CCONJ
ejpam-4168	49	24	is	be	AUX
ejpam-4168	49	25	denoted	denote	VERB
ejpam-4168	49	26	by	by	ADP
ejpam-4168	49	27	∂α(g	∂α(g	PROPN
ejpam-4168	49	28	)	)	PUNCT
ejpam-4168	49	29	.	.	PUNCT
ejpam-4168	50	1	an	an	DET
ejpam-4168	50	2	∂α	∂α	PROPN
ejpam-4168	50	3	-	-	PUNCT
ejpam-4168	50	4	set	set	NOUN
ejpam-4168	50	5	in	in	ADP
ejpam-4168	50	6	g	g	PROPN
ejpam-4168	50	7	is	be	AUX
ejpam-4168	50	8	any	any	DET
ejpam-4168	50	9	partial	partial	ADJ
ejpam-4168	50	10	dominating	dominating	NOUN
ejpam-4168	50	11	set	set	VERB
ejpam-4168	50	12	in	in	ADP
ejpam-4168	50	13	g	g	PROPN
ejpam-4168	50	14	of	of	ADP
ejpam-4168	50	15	cardinality	cardinality	PROPN
ejpam-4168	50	16	∂α(g	∂α(g	PROPN
ejpam-4168	50	17	)	)	PUNCT
ejpam-4168	50	18	.	.	PUNCT
ejpam-4168	51	1	in	in	ADP
ejpam-4168	51	2	2019	2019	NUM
ejpam-4168	51	3	,	,	PUNCT
ejpam-4168	51	4	r.	r.	PROPN
ejpam-4168	51	5	macapodi	macapodi	PROPN
ejpam-4168	51	6	,	,	PUNCT
ejpam-4168	51	7	r.	r.	PROPN
ejpam-4168	51	8	isla	isla	PROPN
ejpam-4168	51	9	and	and	CCONJ
ejpam-4168	51	10	s.	s.	PROPN
ejpam-4168	51	11	canoy	canoy	PROPN
ejpam-4168	52	1	[	[	X
ejpam-4168	52	2	7	7	X
ejpam-4168	52	3	]	]	PUNCT
ejpam-4168	52	4	characterized	characterize	VERB
ejpam-4168	52	5	the	the	DET
ejpam-4168	52	6	partial	partial	ADJ
ejpam-4168	52	7	dominating	dominating	NOUN
ejpam-4168	52	8	sets	set	NOUN
ejpam-4168	52	9	in	in	ADP
ejpam-4168	52	10	the	the	DET
ejpam-4168	52	11	join	join	NOUN
ejpam-4168	52	12	,	,	PUNCT
ejpam-4168	52	13	corona	corona	PROPN
ejpam-4168	52	14	,	,	PUNCT
ejpam-4168	52	15	lexicographic	lexicographic	ADJ
ejpam-4168	52	16	and	and	CCONJ
ejpam-4168	52	17	cartesian	cartesian	ADJ
ejpam-4168	52	18	products	product	NOUN
ejpam-4168	52	19	of	of	ADP
ejpam-4168	52	20	graphs	graph	NOUN
ejpam-4168	52	21	and	and	CCONJ
ejpam-4168	52	22	determined	determine	VERB
ejpam-4168	52	23	the	the	DET
ejpam-4168	52	24	exact	exact	ADJ
ejpam-4168	52	25	values	value	NOUN
ejpam-4168	52	26	or	or	CCONJ
ejpam-4168	52	27	sharp	sharp	ADJ
ejpam-4168	52	28	bounds	bound	NOUN
ejpam-4168	52	29	of	of	ADP
ejpam-4168	52	30	the	the	DET
ejpam-4168	52	31	corresponding	corresponding	ADJ
ejpam-4168	52	32	partial	partial	ADJ
ejpam-4168	52	33	domination	domination	NOUN
ejpam-4168	52	34	number	number	NOUN
ejpam-4168	52	35	of	of	ADP
ejpam-4168	52	36	the	the	DET
ejpam-4168	52	37	said	say	VERB
ejpam-4168	52	38	graphs	graph	NOUN
ejpam-4168	52	39	.	.	PUNCT
ejpam-4168	53	1	in	in	ADP
ejpam-4168	53	2	the	the	DET
ejpam-4168	53	3	same	same	ADJ
ejpam-4168	53	4	year	year	NOUN
ejpam-4168	53	5	,	,	PUNCT
ejpam-4168	53	6	r.	r.	PROPN
ejpam-4168	53	7	macapodi	macapodi	PROPN
ejpam-4168	53	8	and	and	CCONJ
ejpam-4168	53	9	r.	r.	PROPN
ejpam-4168	53	10	isla	isla	PROPN
ejpam-4168	53	11	[	[	X
ejpam-4168	53	12	10	10	NUM
ejpam-4168	53	13	]	]	PUNCT
ejpam-4168	53	14	published	publish	VERB
ejpam-4168	53	15	another	another	DET
ejpam-4168	53	16	paper	paper	NOUN
ejpam-4168	53	17	where	where	SCONJ
ejpam-4168	53	18	they	they	PRON
ejpam-4168	53	19	characterized	characterize	VERB
ejpam-4168	53	20	the	the	DET
ejpam-4168	53	21	total	total	ADJ
ejpam-4168	53	22	partial	partial	ADJ
ejpam-4168	53	23	dominating	dominating	NOUN
ejpam-4168	53	24	sets	set	NOUN
ejpam-4168	53	25	in	in	ADP
ejpam-4168	53	26	the	the	DET
ejpam-4168	53	27	join	join	NOUN
ejpam-4168	53	28	,	,	PUNCT
ejpam-4168	53	29	corona	corona	PROPN
ejpam-4168	53	30	,	,	PUNCT
ejpam-4168	53	31	lexicographic	lexicographic	ADJ
ejpam-4168	53	32	product	product	NOUN
ejpam-4168	53	33	and	and	CCONJ
ejpam-4168	53	34	cartesian	cartesian	ADJ
ejpam-4168	53	35	product	product	NOUN
ejpam-4168	53	36	of	of	ADP
ejpam-4168	53	37	graphs	graph	NOUN
ejpam-4168	53	38	.	.	PUNCT
ejpam-4168	54	1	they	they	PRON
ejpam-4168	54	2	also	also	ADV
ejpam-4168	54	3	determined	determine	VERB
ejpam-4168	54	4	the	the	DET
ejpam-4168	54	5	exact	exact	ADJ
ejpam-4168	54	6	values	value	NOUN
ejpam-4168	54	7	or	or	CCONJ
ejpam-4168	54	8	sharp	sharp	ADJ
ejpam-4168	54	9	bounds	bound	NOUN
ejpam-4168	54	10	of	of	ADP
ejpam-4168	54	11	the	the	DET
ejpam-4168	54	12	corresponding	corresponding	ADJ
ejpam-4168	54	13	total	total	ADJ
ejpam-4168	54	14	partial	partial	ADJ
ejpam-4168	54	15	domination	domination	NOUN
ejpam-4168	54	16	number	number	NOUN
ejpam-4168	54	17	of	of	ADP
ejpam-4168	54	18	these	these	DET
ejpam-4168	54	19	graphs	graph	NOUN
ejpam-4168	54	20	.	.	PUNCT
ejpam-4168	55	1	j.m	j.m	PROPN
ejpam-4168	55	2	.	.	PROPN
ejpam-4168	55	3	cabulao	cabulao	PROPN
ejpam-4168	55	4	,	,	PUNCT
ejpam-4168	55	5	r.	r.	PROPN
ejpam-4168	55	6	isla	isla	PROPN
ejpam-4168	55	7	/	/	SYM
ejpam-4168	55	8	eur	eur	PROPN
ejpam-4168	55	9	.	.	PUNCT
ejpam-4168	56	1	j.	j.	PROPN
ejpam-4168	56	2	pure	pure	PROPN
ejpam-4168	56	3	appl	appl	PROPN
ejpam-4168	56	4	.	.	PROPN
ejpam-4168	56	5	math	math	PROPN
ejpam-4168	56	6	,	,	PUNCT
ejpam-4168	56	7	14	14	NUM
ejpam-4168	56	8	(	(	PUNCT
ejpam-4168	56	9	4	4	NUM
ejpam-4168	56	10	)	)	PUNCT
ejpam-4168	56	11	(	(	PUNCT
ejpam-4168	56	12	2021	2021	NUM
ejpam-4168	56	13	)	)	PUNCT
ejpam-4168	56	14	,	,	PUNCT
ejpam-4168	56	15	1490	1490	NUM
ejpam-4168	56	16	-	-	SYM
ejpam-4168	56	17	1506	1506	NUM
ejpam-4168	56	18	1492	1492	NUM
ejpam-4168	56	19	this	this	DET
ejpam-4168	56	20	paper	paper	NOUN
ejpam-4168	56	21	combines	combine	VERB
ejpam-4168	56	22	the	the	DET
ejpam-4168	56	23	concepts	concept	NOUN
ejpam-4168	56	24	of	of	ADP
ejpam-4168	56	25	connected	connected	ADJ
ejpam-4168	56	26	domination	domination	NOUN
ejpam-4168	56	27	and	and	CCONJ
ejpam-4168	56	28	partial	partial	ADJ
ejpam-4168	56	29	domination	domination	NOUN
ejpam-4168	56	30	in	in	ADP
ejpam-4168	56	31	graphs	graph	NOUN
ejpam-4168	56	32	.	.	PUNCT
ejpam-4168	57	1	let	let	VERB
ejpam-4168	57	2	g	g	PRON
ejpam-4168	57	3	be	be	AUX
ejpam-4168	57	4	a	a	DET
ejpam-4168	57	5	graph	graph	NOUN
ejpam-4168	57	6	and	and	CCONJ
ejpam-4168	57	7	α	α	PRON
ejpam-4168	57	8	∈	∈	PROPN
ejpam-4168	57	9	(	(	PUNCT
ejpam-4168	57	10	0	0	NUM
ejpam-4168	57	11	,	,	PUNCT
ejpam-4168	57	12	1	1	NUM
ejpam-4168	57	13	]	]	PUNCT
ejpam-4168	57	14	.	.	PUNCT
ejpam-4168	58	1	an	an	DET
ejpam-4168	58	2	α	α	NUM
ejpam-4168	58	3	-	-	ADJ
ejpam-4168	58	4	partial	partial	ADJ
ejpam-4168	58	5	dominating	dominating	NOUN
ejpam-4168	58	6	set	set	NOUN
ejpam-4168	58	7	s	s	PROPN
ejpam-4168	58	8	⊆	⊆	NUM
ejpam-4168	58	9	v	v	NOUN
ejpam-4168	58	10	(	(	PUNCT
ejpam-4168	58	11	g	g	NOUN
ejpam-4168	58	12	)	)	PUNCT
ejpam-4168	58	13	is	be	AUX
ejpam-4168	58	14	a	a	DET
ejpam-4168	58	15	connected	connected	ADJ
ejpam-4168	58	16	α	α	NOUN
ejpam-4168	58	17	-	-	ADJ
ejpam-4168	58	18	partial	partial	ADJ
ejpam-4168	58	19	dominating	dominating	NOUN
ejpam-4168	58	20	set	set	VERB
ejpam-4168	58	21	in	in	ADP
ejpam-4168	58	22	g	g	PROPN
ejpam-4168	58	23	if	if	SCONJ
ejpam-4168	58	24	the	the	DET
ejpam-4168	58	25	subgraph	subgraph	NOUN
ejpam-4168	58	26	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	58	27	induced	induce	VERB
ejpam-4168	58	28	by	by	ADP
ejpam-4168	58	29	s	s	PROPN
ejpam-4168	58	30	,	,	PUNCT
ejpam-4168	58	31	is	be	AUX
ejpam-4168	58	32	connected	connect	VERB
ejpam-4168	58	33	.	.	PUNCT
ejpam-4168	59	1	the	the	DET
ejpam-4168	59	2	connected	connected	ADJ
ejpam-4168	59	3	α	α	NOUN
ejpam-4168	59	4	-	-	ADJ
ejpam-4168	59	5	partial	partial	ADJ
ejpam-4168	59	6	domination	domination	NOUN
ejpam-4168	59	7	number	number	NOUN
ejpam-4168	59	8	of	of	ADP
ejpam-4168	59	9	g	g	NOUN
ejpam-4168	59	10	,	,	PUNCT
ejpam-4168	59	11	denoted	denote	VERB
ejpam-4168	59	12	by	by	ADP
ejpam-4168	59	13	∂cα(g	∂cα(g	PROPN
ejpam-4168	59	14	)	)	PUNCT
ejpam-4168	59	15	,	,	PUNCT
ejpam-4168	59	16	is	be	AUX
ejpam-4168	59	17	the	the	DET
ejpam-4168	59	18	smallest	small	ADJ
ejpam-4168	59	19	cardinality	cardinality	NOUN
ejpam-4168	59	20	of	of	ADP
ejpam-4168	59	21	a	a	DET
ejpam-4168	59	22	connected	connected	ADJ
ejpam-4168	59	23	α	α	NOUN
ejpam-4168	59	24	-	-	ADJ
ejpam-4168	59	25	partial	partial	ADJ
ejpam-4168	59	26	dominating	dominating	NOUN
ejpam-4168	59	27	set	set	VERB
ejpam-4168	59	28	in	in	ADP
ejpam-4168	59	29	g.	g.	PROPN
ejpam-4168	59	30	a	a	DET
ejpam-4168	59	31	connected	connected	ADJ
ejpam-4168	59	32	α	α	NOUN
ejpam-4168	59	33	-	-	ADJ
ejpam-4168	59	34	partial	partial	ADJ
ejpam-4168	59	35	dominating	dominating	NOUN
ejpam-4168	59	36	set	set	NOUN
ejpam-4168	59	37	s	s	VERB
ejpam-4168	59	38	in	in	ADP
ejpam-4168	59	39	g	g	NOUN
ejpam-4168	59	40	with	with	ADP
ejpam-4168	59	41	|	|	NOUN
ejpam-4168	59	42	s	s	VERB
ejpam-4168	59	43	|=	|=	NOUN
ejpam-4168	59	44	∂cα(g	∂cα(g	NOUN
ejpam-4168	59	45	)	)	PUNCT
ejpam-4168	59	46	is	be	AUX
ejpam-4168	59	47	referred	refer	VERB
ejpam-4168	59	48	to	to	ADP
ejpam-4168	59	49	as	as	ADP
ejpam-4168	59	50	a	a	DET
ejpam-4168	59	51	∂cα	∂cα	NOUN
ejpam-4168	59	52	-	-	PUNCT
ejpam-4168	59	53	set	set	NOUN
ejpam-4168	59	54	in	in	ADP
ejpam-4168	59	55	g.	g.	PROPN
ejpam-4168	59	56	the	the	DET
ejpam-4168	59	57	join	join	NOUN
ejpam-4168	59	58	g	g	PROPN
ejpam-4168	59	59	+	+	CCONJ
ejpam-4168	59	60	h	h	NOUN
ejpam-4168	59	61	of	of	ADP
ejpam-4168	59	62	two	two	NUM
ejpam-4168	59	63	graphs	graph	NOUN
ejpam-4168	59	64	g	g	NOUN
ejpam-4168	59	65	and	and	CCONJ
ejpam-4168	59	66	h	h	NOUN
ejpam-4168	59	67	is	be	AUX
ejpam-4168	59	68	the	the	DET
ejpam-4168	59	69	graph	graph	NOUN
ejpam-4168	59	70	with	with	ADP
ejpam-4168	59	71	vertex	vertex	NOUN
ejpam-4168	59	72	-	-	PUNCT
ejpam-4168	59	73	set	set	VERB
ejpam-4168	59	74	v	v	NOUN
ejpam-4168	59	75	(	(	PUNCT
ejpam-4168	59	76	g	g	PROPN
ejpam-4168	59	77	+	+	NOUN
ejpam-4168	59	78	h	h	NOUN
ejpam-4168	60	1	)	)	PUNCT
ejpam-4168	60	2	=	=	NOUN
ejpam-4168	60	3	v	v	X
ejpam-4168	60	4	(	(	PUNCT
ejpam-4168	60	5	g	g	NOUN
ejpam-4168	60	6	)	)	PUNCT
ejpam-4168	60	7	∪	∪	NOUN
ejpam-4168	60	8	v	v	NOUN
ejpam-4168	60	9	(	(	PUNCT
ejpam-4168	60	10	h	h	NOUN
ejpam-4168	60	11	)	)	PUNCT
ejpam-4168	60	12	and	and	CCONJ
ejpam-4168	60	13	edge	edge	NOUN
ejpam-4168	60	14	-	-	PUNCT
ejpam-4168	60	15	set	set	VERB
ejpam-4168	60	16	e(g+h	e(g+h	NUM
ejpam-4168	60	17	)	)	PUNCT
ejpam-4168	60	18	=	=	SYM
ejpam-4168	60	19	e(g	e(g	PROPN
ejpam-4168	60	20	)	)	PUNCT
ejpam-4168	60	21	∪e(h	∪e(h	PROPN
ejpam-4168	60	22	)	)	PUNCT
ejpam-4168	60	23	∪	∪	NOUN
ejpam-4168	60	24	{	{	PUNCT
ejpam-4168	60	25	uv	uv	NOUN
ejpam-4168	60	26	:	:	PUNCT
ejpam-4168	60	27	u	u	PROPN
ejpam-4168	60	28	∈	∈	PROPN
ejpam-4168	60	29	v	v	ADP
ejpam-4168	60	30	(	(	PUNCT
ejpam-4168	60	31	g	g	NOUN
ejpam-4168	60	32	)	)	PUNCT
ejpam-4168	60	33	,	,	PUNCT
ejpam-4168	60	34	v	v	X
ejpam-4168	60	35	∈	∈	PROPN
ejpam-4168	60	36	v	v	NOUN
ejpam-4168	60	37	(	(	PUNCT
ejpam-4168	60	38	h	h	NOUN
ejpam-4168	60	39	)	)	PUNCT
ejpam-4168	60	40	}	}	PUNCT
ejpam-4168	60	41	.	.	PUNCT
ejpam-4168	61	1	the	the	DET
ejpam-4168	61	2	corona	corona	NOUN
ejpam-4168	61	3	of	of	ADP
ejpam-4168	61	4	two	two	NUM
ejpam-4168	61	5	graphs	graph	NOUN
ejpam-4168	61	6	g	g	NOUN
ejpam-4168	61	7	and	and	CCONJ
ejpam-4168	61	8	h	h	NOUN
ejpam-4168	61	9	,	,	PUNCT
ejpam-4168	61	10	denoted	denote	VERB
ejpam-4168	61	11	by	by	ADP
ejpam-4168	61	12	g	g	PROPN
ejpam-4168	61	13	◦	◦	NOUN
ejpam-4168	61	14	h	h	NOUN
ejpam-4168	61	15	,	,	PUNCT
ejpam-4168	61	16	is	be	AUX
ejpam-4168	61	17	the	the	DET
ejpam-4168	61	18	graph	graph	NOUN
ejpam-4168	61	19	obtained	obtain	VERB
ejpam-4168	61	20	by	by	ADP
ejpam-4168	61	21	taking	take	VERB
ejpam-4168	61	22	one	one	NUM
ejpam-4168	61	23	copy	copy	NOUN
ejpam-4168	61	24	of	of	ADP
ejpam-4168	61	25	g	g	NOUN
ejpam-4168	61	26	of	of	ADP
ejpam-4168	61	27	order	order	NOUN
ejpam-4168	61	28	n	n	NOUN
ejpam-4168	61	29	and	and	CCONJ
ejpam-4168	61	30	n	n	PRON
ejpam-4168	61	31	copies	copy	NOUN
ejpam-4168	61	32	of	of	ADP
ejpam-4168	61	33	h	h	NOUN
ejpam-4168	61	34	,	,	PUNCT
ejpam-4168	61	35	and	and	CCONJ
ejpam-4168	61	36	then	then	ADV
ejpam-4168	61	37	joining	join	VERB
ejpam-4168	61	38	the	the	DET
ejpam-4168	61	39	i	i	PROPN
ejpam-4168	61	40	-	-	PUNCT
ejpam-4168	61	41	th	th	X
ejpam-4168	61	42	vertex	vertex	NOUN
ejpam-4168	61	43	of	of	ADP
ejpam-4168	61	44	g	g	NOUN
ejpam-4168	61	45	to	to	ADP
ejpam-4168	61	46	every	every	DET
ejpam-4168	61	47	vertex	vertex	NOUN
ejpam-4168	61	48	in	in	ADP
ejpam-4168	61	49	the	the	DET
ejpam-4168	61	50	i	i	PROPN
ejpam-4168	61	51	-	-	PUNCT
ejpam-4168	61	52	th	th	PROPN
ejpam-4168	61	53	copy	copy	NOUN
ejpam-4168	61	54	of	of	ADP
ejpam-4168	61	55	h.	h.	PROPN
ejpam-4168	61	56	for	for	ADP
ejpam-4168	61	57	every	every	DET
ejpam-4168	61	58	v	v	NUM
ejpam-4168	61	59	∈	∈	PROPN
ejpam-4168	61	60	v	v	NOUN
ejpam-4168	61	61	(	(	PUNCT
ejpam-4168	61	62	g	g	NOUN
ejpam-4168	61	63	)	)	PUNCT
ejpam-4168	61	64	,	,	PUNCT
ejpam-4168	61	65	we	we	PRON
ejpam-4168	61	66	denote	denote	VERB
ejpam-4168	61	67	by	by	ADP
ejpam-4168	61	68	hv	hv	PROPN
ejpam-4168	61	69	the	the	DET
ejpam-4168	61	70	copy	copy	NOUN
ejpam-4168	61	71	of	of	ADP
ejpam-4168	61	72	h	h	NOUN
ejpam-4168	61	73	whose	whose	DET
ejpam-4168	61	74	vertices	vertex	NOUN
ejpam-4168	61	75	are	be	AUX
ejpam-4168	61	76	joined	join	VERB
ejpam-4168	61	77	or	or	CCONJ
ejpam-4168	61	78	attached	attach	VERB
ejpam-4168	61	79	to	to	ADP
ejpam-4168	61	80	the	the	DET
ejpam-4168	61	81	vertex	vertex	NOUN
ejpam-4168	61	82	v.	v.	CCONJ
ejpam-4168	61	83	for	for	ADP
ejpam-4168	61	84	each	each	DET
ejpam-4168	61	85	v	v	NUM
ejpam-4168	61	86	∈	∈	PROPN
ejpam-4168	61	87	v	v	NOUN
ejpam-4168	61	88	(	(	PUNCT
ejpam-4168	61	89	g	g	NOUN
ejpam-4168	61	90	)	)	PUNCT
ejpam-4168	61	91	,	,	PUNCT
ejpam-4168	61	92	the	the	DET
ejpam-4168	61	93	subgraph	subgraph	PROPN
ejpam-4168	61	94	⟨v⟩+hv	⟨v⟩+hv	NOUN
ejpam-4168	61	95	of	of	ADP
ejpam-4168	61	96	g	g	PROPN
ejpam-4168	61	97	◦	◦	NOUN
ejpam-4168	61	98	h	h	NOUN
ejpam-4168	61	99	will	will	AUX
ejpam-4168	61	100	be	be	AUX
ejpam-4168	61	101	denoted	denote	VERB
ejpam-4168	61	102	by	by	ADP
ejpam-4168	61	103	v+hv	v+hv	PROPN
ejpam-4168	61	104	.	.	PUNCT
ejpam-4168	62	1	the	the	DET
ejpam-4168	62	2	lexicographic	lexicographic	ADJ
ejpam-4168	62	3	product(composition	product(composition	NOUN
ejpam-4168	62	4	)	)	PUNCT
ejpam-4168	62	5	of	of	ADP
ejpam-4168	62	6	two	two	NUM
ejpam-4168	62	7	graphs	graph	NOUN
ejpam-4168	62	8	g	g	NOUN
ejpam-4168	62	9	and	and	CCONJ
ejpam-4168	62	10	h	h	NOUN
ejpam-4168	62	11	,	,	PUNCT
ejpam-4168	62	12	denoted	denote	VERB
ejpam-4168	62	13	by	by	ADP
ejpam-4168	62	14	g[h	g[h	NOUN
ejpam-4168	62	15	]	]	PUNCT
ejpam-4168	62	16	,	,	PUNCT
ejpam-4168	62	17	is	be	AUX
ejpam-4168	62	18	the	the	DET
ejpam-4168	62	19	graph	graph	NOUN
ejpam-4168	62	20	with	with	ADP
ejpam-4168	62	21	vertex	vertex	NOUN
ejpam-4168	62	22	-	-	PUNCT
ejpam-4168	62	23	set	set	VERB
ejpam-4168	62	24	v	v	NOUN
ejpam-4168	62	25	(	(	PUNCT
ejpam-4168	62	26	g[h	g[h	PROPN
ejpam-4168	62	27	]	]	PUNCT
ejpam-4168	62	28	)	)	PUNCT
ejpam-4168	62	29	=	=	SYM
ejpam-4168	62	30	v	v	X
ejpam-4168	62	31	(	(	PUNCT
ejpam-4168	62	32	g	g	NOUN
ejpam-4168	62	33	)	)	PUNCT
ejpam-4168	62	34	×	×	NOUN
ejpam-4168	62	35	v	v	NOUN
ejpam-4168	62	36	(	(	PUNCT
ejpam-4168	62	37	h	h	NOUN
ejpam-4168	62	38	)	)	PUNCT
ejpam-4168	62	39	and	and	CCONJ
ejpam-4168	62	40	edge	edge	NOUN
ejpam-4168	62	41	-	-	PUNCT
ejpam-4168	62	42	set	set	VERB
ejpam-4168	62	43	e(g[h	e(g[h	NOUN
ejpam-4168	62	44	]	]	PUNCT
ejpam-4168	62	45	)	)	PUNCT
ejpam-4168	62	46	satisfying	satisfy	VERB
ejpam-4168	62	47	the	the	DET
ejpam-4168	62	48	following	follow	VERB
ejpam-4168	62	49	conditions	condition	NOUN
ejpam-4168	62	50	:	:	PUNCT
ejpam-4168	62	51	(	(	PUNCT
ejpam-4168	62	52	u1	u1	PROPN
ejpam-4168	62	53	,	,	PUNCT
ejpam-4168	62	54	v1)(u2	v1)(u2	PROPN
ejpam-4168	62	55	,	,	PUNCT
ejpam-4168	62	56	v2	v2	PROPN
ejpam-4168	62	57	)	)	PUNCT
ejpam-4168	62	58	∈	∈	NOUN
ejpam-4168	62	59	e(g[h	e(g[h	NOUN
ejpam-4168	62	60	]	]	PUNCT
ejpam-4168	62	61	)	)	PUNCT
ejpam-4168	62	62	if	if	SCONJ
ejpam-4168	62	63	and	and	CCONJ
ejpam-4168	62	64	only	only	ADV
ejpam-4168	62	65	if	if	SCONJ
ejpam-4168	62	66	either	either	PRON
ejpam-4168	62	67	u1u2	u1u2	PROPN
ejpam-4168	62	68	∈	∈	PROPN
ejpam-4168	62	69	e(g	e(g	PROPN
ejpam-4168	62	70	)	)	PUNCT
ejpam-4168	62	71	or	or	CCONJ
ejpam-4168	62	72	u1	u1	NOUN
ejpam-4168	62	73	=	=	SYM
ejpam-4168	62	74	u2	u2	PROPN
ejpam-4168	62	75	and	and	CCONJ
ejpam-4168	62	76	v1v2	v1v2	PUNCT
ejpam-4168	62	77	∈	∈	PROPN
ejpam-4168	62	78	e(h	e(h	PROPN
ejpam-4168	62	79	)	)	PUNCT
ejpam-4168	62	80	.	.	PUNCT
ejpam-4168	63	1	the	the	DET
ejpam-4168	63	2	cartesian	cartesian	ADJ
ejpam-4168	63	3	product	product	NOUN
ejpam-4168	63	4	of	of	ADP
ejpam-4168	63	5	two	two	NUM
ejpam-4168	63	6	graphs	graph	NOUN
ejpam-4168	63	7	g	g	NOUN
ejpam-4168	63	8	and	and	CCONJ
ejpam-4168	63	9	h	h	NOUN
ejpam-4168	63	10	,	,	PUNCT
ejpam-4168	63	11	denoted	denote	VERB
ejpam-4168	63	12	by	by	ADP
ejpam-4168	63	13	g	g	PROPN
ejpam-4168	63	14	□	□	PROPN
ejpam-4168	63	15	h	h	NOUN
ejpam-4168	63	16	,	,	PUNCT
ejpam-4168	63	17	is	be	AUX
ejpam-4168	63	18	the	the	DET
ejpam-4168	63	19	graph	graph	NOUN
ejpam-4168	63	20	with	with	ADP
ejpam-4168	63	21	vertex	vertex	NOUN
ejpam-4168	63	22	-	-	PUNCT
ejpam-4168	63	23	set	set	VERB
ejpam-4168	63	24	v	v	NOUN
ejpam-4168	63	25	(	(	PUNCT
ejpam-4168	63	26	g	g	NOUN
ejpam-4168	63	27	□	□	NOUN
ejpam-4168	63	28	h	h	NOUN
ejpam-4168	63	29	)	)	PUNCT
ejpam-4168	63	30	=	=	NOUN
ejpam-4168	63	31	v	v	X
ejpam-4168	63	32	(	(	PUNCT
ejpam-4168	63	33	g)×v	g)×v	PROPN
ejpam-4168	63	34	(	(	PUNCT
ejpam-4168	63	35	h	h	NOUN
ejpam-4168	63	36	)	)	PUNCT
ejpam-4168	63	37	and	and	CCONJ
ejpam-4168	63	38	edge	edge	NOUN
ejpam-4168	63	39	-	-	PUNCT
ejpam-4168	63	40	set	set	VERB
ejpam-4168	63	41	e(g	e(g	NOUN
ejpam-4168	63	42	□	□	SYM
ejpam-4168	63	43	h	h	NOUN
ejpam-4168	63	44	)	)	PUNCT
ejpam-4168	63	45	satisfying	satisfy	VERB
ejpam-4168	63	46	the	the	DET
ejpam-4168	63	47	following	follow	VERB
ejpam-4168	63	48	conditions	condition	NOUN
ejpam-4168	63	49	:	:	PUNCT
ejpam-4168	63	50	(	(	PUNCT
ejpam-4168	63	51	u1	u1	PROPN
ejpam-4168	63	52	,	,	PUNCT
ejpam-4168	63	53	v1)(u2	v1)(u2	PROPN
ejpam-4168	63	54	,	,	PUNCT
ejpam-4168	63	55	v2	v2	PROPN
ejpam-4168	63	56	)	)	PUNCT
ejpam-4168	63	57	∈	∈	PROPN
ejpam-4168	63	58	e(g	e(g	PROPN
ejpam-4168	63	59	□	□	SYM
ejpam-4168	63	60	h	h	NOUN
ejpam-4168	63	61	)	)	PUNCT
ejpam-4168	63	62	if	if	SCONJ
ejpam-4168	63	63	and	and	CCONJ
ejpam-4168	63	64	only	only	ADV
ejpam-4168	63	65	if	if	SCONJ
ejpam-4168	63	66	either	either	DET
ejpam-4168	63	67	u1u2	u1u2	PROPN
ejpam-4168	63	68	∈	∈	PROPN
ejpam-4168	63	69	e(g	e(g	PROPN
ejpam-4168	63	70	)	)	PUNCT
ejpam-4168	63	71	and	and	CCONJ
ejpam-4168	63	72	v1	v1	NOUN
ejpam-4168	63	73	=	=	SYM
ejpam-4168	63	74	v2	v2	NOUN
ejpam-4168	63	75	or	or	CCONJ
ejpam-4168	63	76	u1	u1	NOUN
ejpam-4168	63	77	=	=	SYM
ejpam-4168	63	78	u2	u2	PROPN
ejpam-4168	63	79	and	and	CCONJ
ejpam-4168	63	80	v1v2	v1v2	PUNCT
ejpam-4168	63	81	∈	∈	PROPN
ejpam-4168	63	82	e(h	e(h	PROPN
ejpam-4168	63	83	)	)	PUNCT
ejpam-4168	63	84	.	.	PUNCT
ejpam-4168	64	1	in	in	ADP
ejpam-4168	64	2	this	this	DET
ejpam-4168	64	3	paper	paper	NOUN
ejpam-4168	64	4	,	,	PUNCT
ejpam-4168	64	5	we	we	PRON
ejpam-4168	64	6	characterize	characterize	VERB
ejpam-4168	64	7	the	the	DET
ejpam-4168	64	8	connected	connected	ADJ
ejpam-4168	64	9	α	α	NOUN
ejpam-4168	64	10	-	-	ADJ
ejpam-4168	64	11	partial	partial	ADJ
ejpam-4168	64	12	dominating	dominating	NOUN
ejpam-4168	64	13	sets	set	NOUN
ejpam-4168	64	14	in	in	ADP
ejpam-4168	64	15	the	the	DET
ejpam-4168	64	16	join	join	NOUN
ejpam-4168	64	17	and	and	CCONJ
ejpam-4168	64	18	lexicographic	lexicographic	ADJ
ejpam-4168	64	19	product	product	NOUN
ejpam-4168	64	20	of	of	ADP
ejpam-4168	64	21	graphs	graph	NOUN
ejpam-4168	64	22	for	for	ADP
ejpam-4168	64	23	any	any	DET
ejpam-4168	64	24	α	α	NOUN
ejpam-4168	64	25	∈	∈	PROPN
ejpam-4168	64	26	(	(	PUNCT
ejpam-4168	64	27	0	0	NUM
ejpam-4168	64	28	,	,	PUNCT
ejpam-4168	64	29	1	1	NUM
ejpam-4168	64	30	]	]	PUNCT
ejpam-4168	64	31	and	and	CCONJ
ejpam-4168	64	32	determine	determine	VERB
ejpam-4168	64	33	the	the	DET
ejpam-4168	64	34	corresponding	corresponding	ADJ
ejpam-4168	64	35	connected	connected	ADJ
ejpam-4168	64	36	α	α	NOUN
ejpam-4168	64	37	-	-	ADJ
ejpam-4168	64	38	partial	partial	ADJ
ejpam-4168	64	39	domination	domination	NOUN
ejpam-4168	64	40	numbers	number	NOUN
ejpam-4168	64	41	of	of	ADP
ejpam-4168	64	42	graphs	graph	NOUN
ejpam-4168	64	43	resulting	result	VERB
ejpam-4168	64	44	from	from	ADP
ejpam-4168	64	45	the	the	DET
ejpam-4168	64	46	said	say	VERB
ejpam-4168	64	47	binary	binary	ADJ
ejpam-4168	64	48	operations	operation	NOUN
ejpam-4168	64	49	.	.	PUNCT
ejpam-4168	65	1	moreover	moreover	ADV
ejpam-4168	65	2	,	,	PUNCT
ejpam-4168	65	3	we	we	PRON
ejpam-4168	65	4	establish	establish	VERB
ejpam-4168	65	5	sharp	sharp	ADJ
ejpam-4168	65	6	bounds	bound	NOUN
ejpam-4168	65	7	for	for	ADP
ejpam-4168	65	8	the	the	DET
ejpam-4168	65	9	connected	connected	ADJ
ejpam-4168	65	10	alpha	alpha	NOUN
ejpam-4168	65	11	-	-	PUNCT
ejpam-4168	65	12	partial	partial	ADJ
ejpam-4168	65	13	domination	domination	NOUN
ejpam-4168	65	14	numbers	number	NOUN
ejpam-4168	65	15	of	of	ADP
ejpam-4168	65	16	the	the	DET
ejpam-4168	65	17	corona	corona	NOUN
ejpam-4168	65	18	and	and	CCONJ
ejpam-4168	65	19	cartesian	cartesian	ADJ
ejpam-4168	65	20	product	product	NOUN
ejpam-4168	65	21	of	of	ADP
ejpam-4168	65	22	graphs	graph	NOUN
ejpam-4168	65	23	.	.	PUNCT
ejpam-4168	66	1	furthermore	furthermore	ADV
ejpam-4168	66	2	,	,	PUNCT
ejpam-4168	66	3	we	we	PRON
ejpam-4168	66	4	also	also	ADV
ejpam-4168	66	5	determine	determine	VERB
ejpam-4168	66	6	∂cα(g	∂cα(g	NOUN
ejpam-4168	66	7	)	)	PUNCT
ejpam-4168	66	8	of	of	ADP
ejpam-4168	66	9	some	some	DET
ejpam-4168	66	10	special	special	ADJ
ejpam-4168	66	11	graphs	graph	NOUN
ejpam-4168	66	12	when	when	SCONJ
ejpam-4168	66	13	α	α	NOUN
ejpam-4168	66	14	=	=	NOUN
ejpam-4168	66	15	1	1	NUM
ejpam-4168	66	16	2	2	NUM
ejpam-4168	66	17	.	.	PUNCT
ejpam-4168	67	1	several	several	ADJ
ejpam-4168	67	2	realization	realization	NOUN
ejpam-4168	67	3	problems	problem	NOUN
ejpam-4168	67	4	are	be	AUX
ejpam-4168	67	5	also	also	ADV
ejpam-4168	67	6	generated	generate	VERB
ejpam-4168	67	7	in	in	ADP
ejpam-4168	67	8	this	this	DET
ejpam-4168	67	9	paper	paper	NOUN
ejpam-4168	67	10	.	.	PUNCT
ejpam-4168	68	1	2	2	X
ejpam-4168	68	2	.	.	X
ejpam-4168	68	3	preliminaries	preliminary	NOUN
ejpam-4168	68	4	this	this	DET
ejpam-4168	68	5	section	section	NOUN
ejpam-4168	68	6	gives	give	VERB
ejpam-4168	68	7	some	some	DET
ejpam-4168	68	8	preliminary	preliminary	ADJ
ejpam-4168	68	9	results	result	NOUN
ejpam-4168	68	10	,	,	PUNCT
ejpam-4168	68	11	the	the	DET
ejpam-4168	68	12	connected	connect	VERB
ejpam-4168	68	13	partial	partial	ADJ
ejpam-4168	68	14	domination	domination	NOUN
ejpam-4168	68	15	number	number	NOUN
ejpam-4168	68	16	of	of	ADP
ejpam-4168	68	17	some	some	DET
ejpam-4168	68	18	special	special	ADJ
ejpam-4168	68	19	graphs	graph	NOUN
ejpam-4168	68	20	,	,	PUNCT
ejpam-4168	68	21	some	some	DET
ejpam-4168	68	22	realization	realization	NOUN
ejpam-4168	68	23	problems	problem	NOUN
ejpam-4168	68	24	involving	involve	VERB
ejpam-4168	68	25	the	the	DET
ejpam-4168	68	26	partial	partial	ADJ
ejpam-4168	68	27	domination	domination	NOUN
ejpam-4168	68	28	number	number	NOUN
ejpam-4168	68	29	and	and	CCONJ
ejpam-4168	68	30	the	the	DET
ejpam-4168	68	31	connected	connected	ADJ
ejpam-4168	68	32	partial	partial	ADJ
ejpam-4168	68	33	domination	domination	NOUN
ejpam-4168	68	34	number	number	NOUN
ejpam-4168	68	35	,	,	PUNCT
ejpam-4168	68	36	and	and	CCONJ
ejpam-4168	68	37	some	some	DET
ejpam-4168	68	38	concepts	concept	NOUN
ejpam-4168	68	39	and	and	CCONJ
ejpam-4168	68	40	known	know	VERB
ejpam-4168	68	41	results	result	NOUN
ejpam-4168	68	42	on	on	ADP
ejpam-4168	68	43	partial	partial	ADJ
ejpam-4168	68	44	domination	domination	NOUN
ejpam-4168	68	45	that	that	PRON
ejpam-4168	68	46	will	will	AUX
ejpam-4168	68	47	be	be	AUX
ejpam-4168	68	48	used	use	VERB
ejpam-4168	68	49	to	to	PART
ejpam-4168	68	50	characterize	characterize	VERB
ejpam-4168	68	51	connected	connect	VERB
ejpam-4168	68	52	partial	partial	ADJ
ejpam-4168	68	53	dominating	dominating	NOUN
ejpam-4168	68	54	sets	set	NOUN
ejpam-4168	68	55	in	in	ADP
ejpam-4168	68	56	the	the	DET
ejpam-4168	68	57	join	join	NOUN
ejpam-4168	68	58	of	of	ADP
ejpam-4168	68	59	graphs	graph	NOUN
ejpam-4168	68	60	.	.	PUNCT
ejpam-4168	69	1	the	the	DET
ejpam-4168	69	2	first	first	ADJ
ejpam-4168	69	3	remark	remark	NOUN
ejpam-4168	69	4	immediately	immediately	ADV
ejpam-4168	69	5	follows	follow	VERB
ejpam-4168	69	6	from	from	ADP
ejpam-4168	69	7	the	the	DET
ejpam-4168	69	8	definitions	definition	NOUN
ejpam-4168	69	9	of	of	ADP
ejpam-4168	69	10	the	the	DET
ejpam-4168	69	11	concepts	concept	NOUN
ejpam-4168	69	12	involved	involve	VERB
ejpam-4168	69	13	.	.	PUNCT
ejpam-4168	70	1	remark	remark	NOUN
ejpam-4168	70	2	1	1	NUM
ejpam-4168	70	3	.	.	PUNCT
ejpam-4168	71	1	every	every	DET
ejpam-4168	71	2	connected	connected	ADJ
ejpam-4168	71	3	α	α	NOUN
ejpam-4168	71	4	-	-	ADJ
ejpam-4168	71	5	partial	partial	ADJ
ejpam-4168	71	6	dominating	dominating	NOUN
ejpam-4168	71	7	set	set	NOUN
ejpam-4168	71	8	is	be	AUX
ejpam-4168	71	9	an	an	DET
ejpam-4168	71	10	α	α	NOUN
ejpam-4168	71	11	-	-	ADJ
ejpam-4168	71	12	partial	partial	ADJ
ejpam-4168	71	13	dominating	dominating	NOUN
ejpam-4168	71	14	set	set	NOUN
ejpam-4168	71	15	.	.	PUNCT
ejpam-4168	72	1	the	the	DET
ejpam-4168	72	2	next	next	ADJ
ejpam-4168	72	3	remark	remark	NOUN
ejpam-4168	72	4	immediately	immediately	ADV
ejpam-4168	72	5	follows	follow	VERB
ejpam-4168	72	6	from	from	ADP
ejpam-4168	72	7	remark	remark	NOUN
ejpam-4168	72	8	1	1	NUM
ejpam-4168	72	9	.	.	PUNCT
ejpam-4168	72	10	remark	remark	PROPN
ejpam-4168	72	11	2	2	NUM
ejpam-4168	72	12	.	.	PUNCT
ejpam-4168	73	1	let	let	VERB
ejpam-4168	73	2	g	g	PRON
ejpam-4168	73	3	be	be	AUX
ejpam-4168	73	4	a	a	DET
ejpam-4168	73	5	nontrivial	nontrivial	ADJ
ejpam-4168	73	6	connected	connect	VERB
ejpam-4168	73	7	graph	graph	NOUN
ejpam-4168	73	8	and	and	CCONJ
ejpam-4168	73	9	let	let	VERB
ejpam-4168	73	10	α	α	PRON
ejpam-4168	73	11	∈	∈	PROPN
ejpam-4168	73	12	(	(	PUNCT
ejpam-4168	73	13	0	0	NUM
ejpam-4168	73	14	,	,	PUNCT
ejpam-4168	73	15	1	1	NUM
ejpam-4168	73	16	]	]	PUNCT
ejpam-4168	73	17	.	.	PUNCT
ejpam-4168	74	1	then	then	ADV
ejpam-4168	74	2	∂cα(g	∂cα(g	PROPN
ejpam-4168	74	3	)	)	PUNCT
ejpam-4168	74	4	≥	≥	NOUN
ejpam-4168	74	5	∂α(g	∂α(g	PROPN
ejpam-4168	74	6	)	)	PUNCT
ejpam-4168	74	7	.	.	PUNCT
ejpam-4168	75	1	j.m	j.m	PROPN
ejpam-4168	75	2	.	.	PROPN
ejpam-4168	75	3	cabulao	cabulao	PROPN
ejpam-4168	75	4	,	,	PUNCT
ejpam-4168	75	5	r.	r.	PROPN
ejpam-4168	75	6	isla	isla	PROPN
ejpam-4168	75	7	/	/	SYM
ejpam-4168	75	8	eur	eur	PROPN
ejpam-4168	75	9	.	.	PUNCT
ejpam-4168	76	1	j.	j.	PROPN
ejpam-4168	76	2	pure	pure	PROPN
ejpam-4168	76	3	appl	appl	PROPN
ejpam-4168	76	4	.	.	PROPN
ejpam-4168	76	5	math	math	PROPN
ejpam-4168	76	6	,	,	PUNCT
ejpam-4168	76	7	14	14	NUM
ejpam-4168	76	8	(	(	PUNCT
ejpam-4168	76	9	4	4	NUM
ejpam-4168	76	10	)	)	PUNCT
ejpam-4168	76	11	(	(	PUNCT
ejpam-4168	76	12	2021	2021	NUM
ejpam-4168	76	13	)	)	PUNCT
ejpam-4168	76	14	,	,	PUNCT
ejpam-4168	76	15	1490	1490	NUM
ejpam-4168	76	16	-	-	SYM
ejpam-4168	76	17	1506	1506	NUM
ejpam-4168	76	18	1493	1493	NUM
ejpam-4168	76	19	remark	remark	NOUN
ejpam-4168	76	20	3	3	NUM
ejpam-4168	76	21	.	.	PUNCT
ejpam-4168	77	1	the	the	DET
ejpam-4168	77	2	bound	bind	VERB
ejpam-4168	77	3	given	give	VERB
ejpam-4168	77	4	in	in	ADP
ejpam-4168	77	5	remark	remark	NOUN
ejpam-4168	77	6	2	2	NUM
ejpam-4168	77	7	is	be	AUX
ejpam-4168	77	8	sharp	sharp	ADJ
ejpam-4168	77	9	.	.	PUNCT
ejpam-4168	78	1	however	however	ADV
ejpam-4168	78	2	,	,	PUNCT
ejpam-4168	78	3	the	the	DET
ejpam-4168	78	4	inequality	inequality	NOUN
ejpam-4168	78	5	can	can	AUX
ejpam-4168	78	6	be	be	AUX
ejpam-4168	78	7	attained	attain	VERB
ejpam-4168	78	8	.	.	PUNCT
ejpam-4168	79	1	to	to	PART
ejpam-4168	79	2	see	see	VERB
ejpam-4168	79	3	this	this	PRON
ejpam-4168	79	4	,	,	PUNCT
ejpam-4168	79	5	consider	consider	VERB
ejpam-4168	79	6	the	the	DET
ejpam-4168	79	7	graph	graph	NOUN
ejpam-4168	79	8	g1	g1	NOUN
ejpam-4168	79	9	in	in	ADP
ejpam-4168	79	10	figure	figure	NOUN
ejpam-4168	79	11	1	1	NUM
ejpam-4168	79	12	.	.	PUNCT
ejpam-4168	80	1	let	let	VERB
ejpam-4168	80	2	α	α	NOUN
ejpam-4168	80	3	=	=	SYM
ejpam-4168	80	4	1	1	NUM
ejpam-4168	80	5	2	2	NUM
ejpam-4168	80	6	.	.	PUNCT
ejpam-4168	81	1	it	it	PRON
ejpam-4168	81	2	can	can	AUX
ejpam-4168	81	3	be	be	AUX
ejpam-4168	81	4	verified	verify	VERB
ejpam-4168	81	5	that	that	SCONJ
ejpam-4168	81	6	s1	s1	NOUN
ejpam-4168	81	7	=	=	PUNCT
ejpam-4168	81	8	{	{	PUNCT
ejpam-4168	81	9	d	d	PROPN
ejpam-4168	81	10	,	,	PUNCT
ejpam-4168	81	11	k	k	NOUN
ejpam-4168	81	12	}	}	PUNCT
ejpam-4168	81	13	is	be	AUX
ejpam-4168	81	14	a	a	DET
ejpam-4168	81	15	∂α	∂α	PROPN
ejpam-4168	81	16	-	-	PUNCT
ejpam-4168	81	17	set	set	VERB
ejpam-4168	81	18	and	and	CCONJ
ejpam-4168	81	19	s2	s2	VERB
ejpam-4168	81	20	=	=	SYM
ejpam-4168	81	21	{	{	PUNCT
ejpam-4168	81	22	d	d	PROPN
ejpam-4168	81	23	,	,	PUNCT
ejpam-4168	81	24	e	e	NOUN
ejpam-4168	81	25	,	,	PUNCT
ejpam-4168	81	26	f	f	X
ejpam-4168	81	27	,	,	PUNCT
ejpam-4168	81	28	g	g	NOUN
ejpam-4168	81	29	}	}	PUNCT
ejpam-4168	81	30	is	be	AUX
ejpam-4168	81	31	a	a	DET
ejpam-4168	81	32	∂cα	∂cα	NOUN
ejpam-4168	81	33	-	-	PUNCT
ejpam-4168	81	34	set	set	NOUN
ejpam-4168	81	35	in	in	ADP
ejpam-4168	81	36	g1	g1	NOUN
ejpam-4168	81	37	.	.	PUNCT
ejpam-4168	82	1	thus	thus	ADV
ejpam-4168	82	2	,	,	PUNCT
ejpam-4168	82	3	∂cα(g1	∂cα(g1	X
ejpam-4168	82	4	)	)	PUNCT
ejpam-4168	82	5	=	=	SYM
ejpam-4168	82	6	4	4	NUM
ejpam-4168	82	7	>	>	SYM
ejpam-4168	82	8	2	2	NUM
ejpam-4168	82	9	=	=	SYM
ejpam-4168	82	10	∂α(g1	∂α(g1	NOUN
ejpam-4168	82	11	)	)	PUNCT
ejpam-4168	82	12	.	.	PUNCT
ejpam-4168	83	1	next	next	ADV
ejpam-4168	83	2	,	,	PUNCT
ejpam-4168	83	3	consider	consider	VERB
ejpam-4168	83	4	the	the	DET
ejpam-4168	83	5	graphg2	graphg2	NOUN
ejpam-4168	83	6	in	in	ADP
ejpam-4168	83	7	figure	figure	NOUN
ejpam-4168	83	8	2	2	NUM
ejpam-4168	83	9	and	and	CCONJ
ejpam-4168	83	10	let	let	VERB
ejpam-4168	83	11	α	α	NOUN
ejpam-4168	83	12	=	=	SYM
ejpam-4168	83	13	2	2	NUM
ejpam-4168	83	14	3	3	NUM
ejpam-4168	83	15	.	.	PUNCT
ejpam-4168	84	1	it	it	PRON
ejpam-4168	84	2	can	can	AUX
ejpam-4168	84	3	be	be	AUX
ejpam-4168	84	4	verified	verify	VERB
ejpam-4168	84	5	that	that	SCONJ
ejpam-4168	84	6	s3	s3	PROPN
ejpam-4168	84	7	=	=	SYM
ejpam-4168	84	8	{	{	PUNCT
ejpam-4168	84	9	b	b	PROPN
ejpam-4168	84	10	,	,	PUNCT
ejpam-4168	84	11	c	c	NOUN
ejpam-4168	84	12	}	}	PUNCT
ejpam-4168	84	13	is	be	AUX
ejpam-4168	84	14	both	both	PRON
ejpam-4168	84	15	a	a	DET
ejpam-4168	84	16	∂α	∂α	PROPN
ejpam-4168	84	17	-	-	PUNCT
ejpam-4168	84	18	set	set	VERB
ejpam-4168	84	19	and	and	CCONJ
ejpam-4168	84	20	a	a	DET
ejpam-4168	84	21	∂cα	∂cα	NOUN
ejpam-4168	84	22	-	-	PUNCT
ejpam-4168	84	23	set	set	NOUN
ejpam-4168	84	24	in	in	ADP
ejpam-4168	84	25	g2	g2	PROPN
ejpam-4168	84	26	.	.	PUNCT
ejpam-4168	85	1	thus	thus	ADV
ejpam-4168	85	2	,	,	PUNCT
ejpam-4168	85	3	∂α(g2	∂α(g2	X
ejpam-4168	85	4	)	)	PUNCT
ejpam-4168	85	5	=	=	PUNCT
ejpam-4168	85	6	∂cα(g2	∂cα(g2	X
ejpam-4168	85	7	)	)	PUNCT
ejpam-4168	85	8	=	=	SYM
ejpam-4168	85	9	2	2	X
ejpam-4168	85	10	.	.	PUNCT
ejpam-4168	85	11	.........	.........	PUNCT
ejpam-4168	85	12	........	........	PUNCT
ejpam-4168	85	13	........	........	PUNCT
ejpam-4168	85	14	........	........	PUNCT
ejpam-4168	85	15	........	........	PUNCT
ejpam-4168	85	16	........	........	PUNCT
ejpam-4168	85	17	........	........	PUNCT
ejpam-4168	85	18	........	........	PUNCT
ejpam-4168	85	19	........	........	PUNCT
ejpam-4168	85	20	...	...	PUNCT
ejpam-4168	85	21	....................................	....................................	PUNCT
ejpam-4168	85	22	............................................................................	............................................................................	PUNCT
ejpam-4168	85	23	....................................	....................................	PUNCT
ejpam-4168	85	24	.........	.........	PUNCT
ejpam-4168	85	25	........	........	PUNCT
ejpam-4168	85	26	........	........	PUNCT
ejpam-4168	85	27	........	........	PUNCT
ejpam-4168	85	28	........	........	PUNCT
ejpam-4168	85	29	........	........	PUNCT
ejpam-4168	85	30	........	........	PUNCT
ejpam-4168	85	31	........	........	PUNCT
ejpam-4168	85	32	........	........	PUNCT
ejpam-4168	85	33	...	...	PUNCT
ejpam-4168	85	34	....................................	....................................	PUNCT
ejpam-4168	85	35	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	36	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	37	.........	.........	PUNCT
ejpam-4168	85	38	........	........	PUNCT
ejpam-4168	85	39	........	........	PUNCT
ejpam-4168	85	40	........	........	PUNCT
ejpam-4168	85	41	........	........	PUNCT
ejpam-4168	85	42	........	........	PUNCT
ejpam-4168	85	43	........	........	PUNCT
ejpam-4168	85	44	........	........	PUNCT
ejpam-4168	85	45	........	........	PUNCT
ejpam-4168	85	46	...	...	PUNCT
ejpam-4168	85	47	....................................	....................................	PUNCT
ejpam-4168	85	48	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	49	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	50	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	51	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	52	.........	.........	PUNCT
ejpam-4168	85	53	........	........	PUNCT
ejpam-4168	85	54	........	........	PUNCT
ejpam-4168	85	55	........	........	PUNCT
ejpam-4168	85	56	........	........	PUNCT
ejpam-4168	85	57	........	........	PUNCT
ejpam-4168	85	58	........	........	PUNCT
ejpam-4168	85	59	........	........	PUNCT
ejpam-4168	85	60	........	........	PUNCT
ejpam-4168	85	61	...	...	PUNCT
ejpam-4168	85	62	....................................	....................................	PUNCT
ejpam-4168	85	63	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	64	.........	.........	PUNCT
ejpam-4168	85	65	........	........	PUNCT
ejpam-4168	85	66	........	........	PUNCT
ejpam-4168	85	67	........	........	PUNCT
ejpam-4168	85	68	........	........	PUNCT
ejpam-4168	85	69	........	........	PUNCT
ejpam-4168	85	70	........	........	PUNCT
ejpam-4168	85	71	........	........	PUNCT
ejpam-4168	85	72	........	........	PUNCT
ejpam-4168	85	73	...	...	PUNCT
ejpam-4168	85	74	....................................	....................................	PUNCT
ejpam-4168	85	75	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	85	76	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	86	1	....................................	....................................	PUNCT
ejpam-4168	86	2	....................................................................................................................................................	....................................................................................................................................................	PUNCT
ejpam-4168	86	3	.........	.........	PUNCT
ejpam-4168	87	1	........	........	PUNCT
ejpam-4168	87	2	........	........	PUNCT
ejpam-4168	87	3	........	........	PUNCT
ejpam-4168	87	4	........	........	PUNCT
ejpam-4168	87	5	........	........	PUNCT
ejpam-4168	87	6	........	........	PUNCT
ejpam-4168	87	7	........	........	PUNCT
ejpam-4168	87	8	........	........	PUNCT
ejpam-4168	87	9	...	...	PUNCT
ejpam-4168	88	1	....................................	....................................	PUNCT
ejpam-4168	88	2	....................................	....................................	PUNCT
ejpam-4168	89	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	90	1	....................................	....................................	PUNCT
ejpam-4168	91	1	•	•	NUM
ejpam-4168	91	2	•	•	NUM
ejpam-4168	91	3	••	••	NOUN
ejpam-4168	91	4	•	•	ADP
ejpam-4168	91	5	a	a	DET
ejpam-4168	91	6	b	b	NOUN
ejpam-4168	91	7	c	c	NOUN
ejpam-4168	91	8	d	d	PROPN
ejpam-4168	91	9	e	e	X
ejpam-4168	91	10	f	f	PROPN
ejpam-4168	91	11	g	g	PROPN
ejpam-4168	92	1	h	h	NOUN
ejpam-4168	93	1	i	i	PRON
ejpam-4168	93	2	j	j	PROPN
ejpam-4168	94	1	k	k	PROPN
ejpam-4168	94	2	l	l	PROPN
ejpam-4168	94	3	m	m	VERB
ejpam-4168	94	4	n	n	ADV
ejpam-4168	94	5	o	o	PROPN
ejpam-4168	94	6	g1	g1	PROPN
ejpam-4168	94	7	:	:	PUNCT
ejpam-4168	94	8	figure	figure	VERB
ejpam-4168	94	9	1	1	NUM
ejpam-4168	94	10	:	:	PUNCT
ejpam-4168	94	11	a	a	DET
ejpam-4168	94	12	graph	graph	NOUN
ejpam-4168	94	13	g1	g1	NOUN
ejpam-4168	94	14	with	with	ADP
ejpam-4168	94	15	∂cα(g1	∂cα(g1	PRON
ejpam-4168	94	16	)	)	PUNCT
ejpam-4168	94	17	=	=	SYM
ejpam-4168	94	18	4	4	NUM
ejpam-4168	94	19	>	>	SYM
ejpam-4168	94	20	2	2	NUM
ejpam-4168	94	21	=	=	SYM
ejpam-4168	94	22	∂α(g1	∂α(g1	NOUN
ejpam-4168	94	23	)	)	PUNCT
ejpam-4168	94	24	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	94	25	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	95	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	95	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	96	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	96	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	97	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	97	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	98	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	98	2	....................................	....................................	PUNCT
ejpam-4168	99	1	.........	.........	PUNCT
ejpam-4168	99	2	........	........	PUNCT
ejpam-4168	99	3	........	........	PUNCT
ejpam-4168	99	4	........	........	PUNCT
ejpam-4168	99	5	........	........	PUNCT
ejpam-4168	99	6	........	........	PUNCT
ejpam-4168	99	7	........	........	PUNCT
ejpam-4168	99	8	........	........	PUNCT
ejpam-4168	99	9	........	........	PUNCT
ejpam-4168	99	10	...	...	PUNCT
ejpam-4168	100	1	....................................	....................................	PUNCT
ejpam-4168	100	2	.........	.........	PUNCT
ejpam-4168	100	3	........	........	PUNCT
ejpam-4168	100	4	........	........	PUNCT
ejpam-4168	100	5	........	........	PUNCT
ejpam-4168	100	6	........	........	PUNCT
ejpam-4168	100	7	........	........	PUNCT
ejpam-4168	100	8	........	........	PUNCT
ejpam-4168	100	9	........	........	PUNCT
ejpam-4168	100	10	........	........	PUNCT
ejpam-4168	100	11	...	...	PUNCT
ejpam-4168	101	1	....................................	....................................	PUNCT
ejpam-4168	101	2	....................................	....................................	PUNCT
ejpam-4168	101	3	.........	.........	PUNCT
ejpam-4168	101	4	........	........	PUNCT
ejpam-4168	101	5	........	........	PUNCT
ejpam-4168	101	6	........	........	PUNCT
ejpam-4168	101	7	........	........	PUNCT
ejpam-4168	101	8	........	........	PUNCT
ejpam-4168	101	9	........	........	PUNCT
ejpam-4168	101	10	........	........	PUNCT
ejpam-4168	101	11	........	........	PUNCT
ejpam-4168	101	12	...	...	PUNCT
ejpam-4168	102	1	....................................	....................................	PUNCT
ejpam-4168	102	2	.........	.........	PUNCT
ejpam-4168	102	3	........	........	PUNCT
ejpam-4168	102	4	........	........	PUNCT
ejpam-4168	102	5	........	........	PUNCT
ejpam-4168	102	6	........	........	PUNCT
ejpam-4168	102	7	........	........	PUNCT
ejpam-4168	102	8	........	........	PUNCT
ejpam-4168	102	9	........	........	PUNCT
ejpam-4168	102	10	........	........	PUNCT
ejpam-4168	102	11	...	...	PUNCT
ejpam-4168	103	1	....................................	....................................	PUNCT
ejpam-4168	103	2	....................................	....................................	PUNCT
ejpam-4168	104	1	..........	..........	PUNCT
ejpam-4168	104	2	.........	.........	PUNCT
ejpam-4168	105	1	.........	.........	PUNCT
ejpam-4168	105	2	.........	.........	PUNCT
ejpam-4168	106	1	.........	.........	PUNCT
ejpam-4168	106	2	.........	.........	PUNCT
ejpam-4168	107	1	.........	.........	PUNCT
ejpam-4168	107	2	.........	.........	PUNCT
ejpam-4168	108	1	.........	.........	PUNCT
ejpam-4168	108	2	....	....	PUNCT
ejpam-4168	109	1	....................................	....................................	PUNCT
ejpam-4168	109	2	......................................................................................	......................................................................................	PUNCT
ejpam-4168	110	1	....................................	....................................	PUNCT
ejpam-4168	110	2	....................................	....................................	PUNCT
ejpam-4168	110	3	......................................................................................	......................................................................................	PUNCT
ejpam-4168	111	1	....................................	....................................	PUNCT
ejpam-4168	111	2	..........	..........	PUNCT
ejpam-4168	112	1	.........	.........	PUNCT
ejpam-4168	112	2	.........	.........	PUNCT
ejpam-4168	113	1	.........	.........	PUNCT
ejpam-4168	113	2	.........	.........	PUNCT
ejpam-4168	114	1	.........	.........	PUNCT
ejpam-4168	114	2	.........	.........	PUNCT
ejpam-4168	115	1	.........	.........	PUNCT
ejpam-4168	115	2	.........	.........	PUNCT
ejpam-4168	116	1	....	....	PUNCT
ejpam-4168	116	2	....................................	....................................	PUNCT
ejpam-4168	117	1	....................................	....................................	PUNCT
ejpam-4168	117	2	..........	..........	PUNCT
ejpam-4168	118	1	.........	.........	PUNCT
ejpam-4168	118	2	.........	.........	PUNCT
ejpam-4168	119	1	.........	.........	PUNCT
ejpam-4168	119	2	.........	.........	PUNCT
ejpam-4168	120	1	.........	.........	PUNCT
ejpam-4168	120	2	.........	.........	PUNCT
ejpam-4168	121	1	.........	.........	PUNCT
ejpam-4168	121	2	.........	.........	PUNCT
ejpam-4168	122	1	....	....	PUNCT
ejpam-4168	122	2	....................................	....................................	PUNCT
ejpam-4168	122	3	......................................................................................	......................................................................................	PUNCT
ejpam-4168	123	1	....................................	....................................	PUNCT
ejpam-4168	124	1	....................................	....................................	PUNCT
ejpam-4168	125	1	•	•	NUM
ejpam-4168	125	2	•	•	ADV
ejpam-4168	125	3	a	a	DET
ejpam-4168	125	4	b	b	NOUN
ejpam-4168	125	5	c	c	NOUN
ejpam-4168	125	6	d	d	PROPN
ejpam-4168	125	7	e	e	X
ejpam-4168	125	8	f	f	PROPN
ejpam-4168	125	9	g	g	PROPN
ejpam-4168	126	1	h	h	NOUN
ejpam-4168	127	1	i	i	PROPN
ejpam-4168	127	2	j	j	PROPN
ejpam-4168	127	3	b1	b1	PROPN
ejpam-4168	127	4	b2	b2	NOUN
ejpam-4168	127	5	b3	b3	PROPN
ejpam-4168	127	6	b4	b4	PROPN
ejpam-4168	127	7	b5	b5	PROPN
ejpam-4168	127	8	b6	b6	PROPN
ejpam-4168	127	9	c1	c1	PROPN
ejpam-4168	127	10	c2	c2	PROPN
ejpam-4168	127	11	c3	c3	PROPN
ejpam-4168	127	12	c4	c4	PROPN
ejpam-4168	127	13	g2	g2	PROPN
ejpam-4168	127	14	:	:	PUNCT
ejpam-4168	127	15	figure	figure	VERB
ejpam-4168	127	16	2	2	NUM
ejpam-4168	127	17	:	:	PUNCT
ejpam-4168	127	18	a	a	DET
ejpam-4168	127	19	graph	graph	NOUN
ejpam-4168	127	20	g2	g2	PROPN
ejpam-4168	127	21	with	with	ADP
ejpam-4168	127	22	∂cα(g2	∂cα(g2	NOUN
ejpam-4168	127	23	)	)	PUNCT
ejpam-4168	127	24	=	=	SYM
ejpam-4168	127	25	∂α(g2	∂α(g2	X
ejpam-4168	127	26	)	)	PUNCT
ejpam-4168	127	27	=	=	SYM
ejpam-4168	127	28	2	2	NUM
ejpam-4168	127	29	,	,	PUNCT
ejpam-4168	127	30	where	where	SCONJ
ejpam-4168	127	31	α	α	NOUN
ejpam-4168	127	32	=	=	SYM
ejpam-4168	127	33	2	2	NUM
ejpam-4168	127	34	3	3	NUM
ejpam-4168	127	35	remark	remark	NOUN
ejpam-4168	127	36	4	4	NUM
ejpam-4168	127	37	.	.	PUNCT
ejpam-4168	128	1	let	let	VERB
ejpam-4168	128	2	g	g	PRON
ejpam-4168	128	3	be	be	AUX
ejpam-4168	128	4	a	a	DET
ejpam-4168	128	5	nontrivial	nontrivial	ADJ
ejpam-4168	128	6	connected	connect	VERB
ejpam-4168	128	7	graph	graph	NOUN
ejpam-4168	128	8	and	and	CCONJ
ejpam-4168	128	9	let	let	VERB
ejpam-4168	128	10	α	α	PRON
ejpam-4168	128	11	,	,	PUNCT
ejpam-4168	128	12	β	β	X
ejpam-4168	128	13	∈	∈	PROPN
ejpam-4168	128	14	(	(	PUNCT
ejpam-4168	128	15	0	0	NUM
ejpam-4168	128	16	,	,	PUNCT
ejpam-4168	128	17	1	1	NUM
ejpam-4168	128	18	]	]	PUNCT
ejpam-4168	128	19	.	.	PUNCT
ejpam-4168	129	1	if	if	SCONJ
ejpam-4168	129	2	α	α	PRON
ejpam-4168	129	3	<	<	X
ejpam-4168	129	4	β	β	X
ejpam-4168	129	5	,	,	PUNCT
ejpam-4168	129	6	then	then	ADV
ejpam-4168	129	7	∂α(g	∂α(g	PROPN
ejpam-4168	129	8	)	)	PUNCT
ejpam-4168	129	9	≤	≤	NOUN
ejpam-4168	129	10	∂β(g	∂β(g	PROPN
ejpam-4168	129	11	)	)	PUNCT
ejpam-4168	129	12	.	.	PUNCT
ejpam-4168	130	1	moreover	moreover	ADV
ejpam-4168	130	2	,	,	PUNCT
ejpam-4168	130	3	∂cα(g	∂cα(g	PROPN
ejpam-4168	130	4	)	)	PUNCT
ejpam-4168	130	5	≤	≤	NUM
ejpam-4168	130	6	∂cβ(g	∂cβ(g	PROPN
ejpam-4168	130	7	)	)	PUNCT
ejpam-4168	130	8	.	.	PUNCT
ejpam-4168	131	1	remark	remark	PROPN
ejpam-4168	131	2	5	5	NUM
ejpam-4168	131	3	.	.	PUNCT
ejpam-4168	132	1	let	let	VERB
ejpam-4168	132	2	g	g	PRON
ejpam-4168	132	3	be	be	AUX
ejpam-4168	132	4	a	a	DET
ejpam-4168	132	5	nontrivial	nontrivial	ADJ
ejpam-4168	132	6	connected	connect	VERB
ejpam-4168	132	7	graph	graph	NOUN
ejpam-4168	132	8	and	and	CCONJ
ejpam-4168	132	9	let	let	VERB
ejpam-4168	132	10	α	α	PRON
ejpam-4168	132	11	∈	∈	PROPN
ejpam-4168	132	12	(	(	PUNCT
ejpam-4168	132	13	0	0	NUM
ejpam-4168	132	14	,	,	PUNCT
ejpam-4168	132	15	1	1	NUM
ejpam-4168	132	16	]	]	PUNCT
ejpam-4168	132	17	.	.	PUNCT
ejpam-4168	133	1	then	then	ADV
ejpam-4168	133	2	,	,	PUNCT
ejpam-4168	133	3	(	(	PUNCT
ejpam-4168	133	4	i	i	NOUN
ejpam-4168	133	5	)	)	PUNCT
ejpam-4168	133	6	1	1	NUM
ejpam-4168	133	7	≤	≤	NUM
ejpam-4168	133	8	∂cα(g	∂cα(g	NOUN
ejpam-4168	133	9	)	)	PUNCT
ejpam-4168	133	10	≤	≤	PROPN
ejpam-4168	133	11	γ(g	γ(g	PROPN
ejpam-4168	133	12	)	)	PUNCT
ejpam-4168	133	13	≤	≤	NOUN
ejpam-4168	133	14	γc(g	γc(g	NUM
ejpam-4168	133	15	)	)	PUNCT
ejpam-4168	133	16	,	,	PUNCT
ejpam-4168	133	17	and	and	CCONJ
ejpam-4168	133	18	(	(	PUNCT
ejpam-4168	133	19	ii	ii	NOUN
ejpam-4168	133	20	)	)	PUNCT
ejpam-4168	133	21	if	if	SCONJ
ejpam-4168	133	22	γ(g	γ(g	PROPN
ejpam-4168	133	23	)	)	PUNCT
ejpam-4168	133	24	=	=	SYM
ejpam-4168	134	1	1	1	NUM
ejpam-4168	134	2	,	,	PUNCT
ejpam-4168	134	3	then	then	ADV
ejpam-4168	134	4	∂cα(g	∂cα(g	ADJ
ejpam-4168	134	5	)	)	PUNCT
ejpam-4168	134	6	=	=	SYM
ejpam-4168	135	1	1	1	X
ejpam-4168	135	2	.	.	PUNCT
ejpam-4168	136	1	the	the	DET
ejpam-4168	136	2	next	next	ADJ
ejpam-4168	136	3	result	result	NOUN
ejpam-4168	136	4	immediately	immediately	ADV
ejpam-4168	136	5	follows	follow	VERB
ejpam-4168	136	6	from	from	ADP
ejpam-4168	136	7	remark	remark	NOUN
ejpam-4168	136	8	5(ii	5(ii	NUM
ejpam-4168	136	9	)	)	PUNCT
ejpam-4168	136	10	and	and	CCONJ
ejpam-4168	136	11	from	from	ADP
ejpam-4168	136	12	γ(g	γ(g	PROPN
ejpam-4168	136	13	)	)	PUNCT
ejpam-4168	136	14	=	=	SYM
ejpam-4168	136	15	1	1	NUM
ejpam-4168	136	16	for	for	ADP
ejpam-4168	136	17	g	g	PROPN
ejpam-4168	136	18	∈	∈	PROPN
ejpam-4168	136	19	{	{	PUNCT
ejpam-4168	136	20	kn	kn	PROPN
ejpam-4168	136	21	,	,	PUNCT
ejpam-4168	136	22	fn	fn	PROPN
ejpam-4168	136	23	,	,	PUNCT
ejpam-4168	136	24	k1,n	k1,n	PROPN
ejpam-4168	136	25	,	,	PUNCT
ejpam-4168	136	26	wn	wn	PROPN
ejpam-4168	136	27	}	}	PUNCT
ejpam-4168	136	28	.	.	PUNCT
ejpam-4168	137	1	proposition	proposition	NOUN
ejpam-4168	137	2	1	1	NUM
ejpam-4168	137	3	.	.	PUNCT
ejpam-4168	138	1	let	let	VERB
ejpam-4168	138	2	n	n	PRON
ejpam-4168	138	3	be	be	AUX
ejpam-4168	138	4	a	a	DET
ejpam-4168	138	5	positive	positive	ADJ
ejpam-4168	138	6	integer	integer	NOUN
ejpam-4168	138	7	and	and	CCONJ
ejpam-4168	138	8	let	let	VERB
ejpam-4168	138	9	α	α	PRON
ejpam-4168	138	10	∈	∈	PROPN
ejpam-4168	138	11	(	(	PUNCT
ejpam-4168	138	12	0	0	NUM
ejpam-4168	138	13	,	,	PUNCT
ejpam-4168	138	14	1	1	NUM
ejpam-4168	138	15	]	]	PUNCT
ejpam-4168	138	16	.	.	PUNCT
ejpam-4168	139	1	let	let	VERB
ejpam-4168	139	2	g	g	NOUN
ejpam-4168	139	3	be	be	AUX
ejpam-4168	139	4	kn	kn	PROPN
ejpam-4168	139	5	,	,	PUNCT
ejpam-4168	139	6	fn	fn	NOUN
ejpam-4168	139	7	or	or	CCONJ
ejpam-4168	139	8	k1,n	k1,n	PROPN
ejpam-4168	139	9	.	.	PUNCT
ejpam-4168	140	1	then	then	ADV
ejpam-4168	140	2	∂cα(g	∂cα(g	PROPN
ejpam-4168	140	3	)	)	PUNCT
ejpam-4168	140	4	=	=	SYM
ejpam-4168	140	5	1	1	NUM
ejpam-4168	140	6	for	for	ADP
ejpam-4168	140	7	n	n	PRON
ejpam-4168	140	8	≥	≥	NUM
ejpam-4168	140	9	1	1	NUM
ejpam-4168	140	10	.	.	PUNCT
ejpam-4168	141	1	moreover	moreover	ADV
ejpam-4168	141	2	,	,	PUNCT
ejpam-4168	141	3	∂cα(wn	∂cα(wn	NOUN
ejpam-4168	141	4	)	)	PUNCT
ejpam-4168	142	1	=	=	SYM
ejpam-4168	142	2	1	1	NUM
ejpam-4168	142	3	for	for	ADP
ejpam-4168	142	4	n	n	X
ejpam-4168	142	5	≥	≥	NUM
ejpam-4168	142	6	3	3	NUM
ejpam-4168	142	7	.	.	PUNCT
ejpam-4168	143	1	proposition	proposition	NOUN
ejpam-4168	143	2	2	2	NUM
ejpam-4168	143	3	.	.	X
ejpam-4168	144	1	for	for	ADP
ejpam-4168	144	2	any	any	DET
ejpam-4168	144	3	complete	complete	ADJ
ejpam-4168	144	4	bipartite	bipartite	NOUN
ejpam-4168	144	5	graph	graph	NOUN
ejpam-4168	144	6	km	km	PROPN
ejpam-4168	144	7	,	,	PUNCT
ejpam-4168	144	8	n	n	CCONJ
ejpam-4168	144	9	,	,	PUNCT
ejpam-4168	144	10	where	where	SCONJ
ejpam-4168	144	11	m	m	VERB
ejpam-4168	144	12	≤	≤	NUM
ejpam-4168	144	13	n	n	CCONJ
ejpam-4168	144	14	,	,	PUNCT
ejpam-4168	144	15	∂cα(km	∂cα(km	NOUN
ejpam-4168	144	16	,	,	PUNCT
ejpam-4168	144	17	n	n	CCONJ
ejpam-4168	144	18	)	)	PUNCT
ejpam-4168	144	19	=	=	SYM
ejpam-4168	144	20	1	1	NUM
ejpam-4168	145	1	if	if	SCONJ
ejpam-4168	145	2	and	and	CCONJ
ejpam-4168	145	3	only	only	ADV
ejpam-4168	145	4	if	if	SCONJ
ejpam-4168	145	5	α	α	PRON
ejpam-4168	145	6	≤	≤	X
ejpam-4168	145	7	n+1	n+1	PROPN
ejpam-4168	145	8	m+n	m+n	PROPN
ejpam-4168	145	9	.	.	PUNCT
ejpam-4168	146	1	otherwise	otherwise	ADV
ejpam-4168	146	2	,	,	PUNCT
ejpam-4168	146	3	∂cα(km	∂cα(km	NOUN
ejpam-4168	146	4	,	,	PUNCT
ejpam-4168	146	5	n	n	CCONJ
ejpam-4168	146	6	)	)	PUNCT
ejpam-4168	146	7	=	=	SYM
ejpam-4168	146	8	2	2	X
ejpam-4168	146	9	.	.	X
ejpam-4168	146	10	proof	proof	NOUN
ejpam-4168	146	11	:	:	PUNCT
ejpam-4168	146	12	denote	denote	VERB
ejpam-4168	146	13	the	the	DET
ejpam-4168	146	14	vertices	vertex	NOUN
ejpam-4168	146	15	in	in	ADP
ejpam-4168	146	16	the	the	DET
ejpam-4168	146	17	partite	partite	ADJ
ejpam-4168	146	18	set	set	NOUN
ejpam-4168	146	19	with	with	ADP
ejpam-4168	146	20	m	m	PROPN
ejpam-4168	146	21	vertices	vertex	NOUN
ejpam-4168	146	22	by	by	ADP
ejpam-4168	146	23	u1	u1	NOUN
ejpam-4168	146	24	,	,	PUNCT
ejpam-4168	146	25	u2	u2	PROPN
ejpam-4168	146	26	,	,	PUNCT
ejpam-4168	146	27	...	...	PUNCT
ejpam-4168	146	28	,	,	PUNCT
ejpam-4168	146	29	um	um	INTJ
ejpam-4168	146	30	and	and	CCONJ
ejpam-4168	146	31	the	the	DET
ejpam-4168	146	32	vertices	vertex	NOUN
ejpam-4168	146	33	in	in	ADP
ejpam-4168	146	34	the	the	DET
ejpam-4168	146	35	partite	partite	ADJ
ejpam-4168	146	36	set	set	NOUN
ejpam-4168	146	37	with	with	ADP
ejpam-4168	146	38	n	n	ADP
ejpam-4168	146	39	vertices	vertex	NOUN
ejpam-4168	146	40	by	by	ADP
ejpam-4168	146	41	v1	v1	NOUN
ejpam-4168	146	42	,	,	PUNCT
ejpam-4168	146	43	v2	v2	PROPN
ejpam-4168	146	44	,	,	PUNCT
ejpam-4168	146	45	...	...	PUNCT
ejpam-4168	146	46	,	,	PUNCT
ejpam-4168	146	47	vn	vn	AUX
ejpam-4168	146	48	.	.	PROPN
ejpam-4168	146	49	assume	assume	VERB
ejpam-4168	146	50	that	that	SCONJ
ejpam-4168	146	51	∂cα(km	∂cα(km	NOUN
ejpam-4168	146	52	,	,	PUNCT
ejpam-4168	146	53	n	n	CCONJ
ejpam-4168	146	54	)	)	PUNCT
ejpam-4168	147	1	=	=	SYM
ejpam-4168	147	2	1	1	X
ejpam-4168	147	3	.	.	PUNCT
ejpam-4168	147	4	let	let	VERB
ejpam-4168	147	5	j.m	j.m	PROPN
ejpam-4168	147	6	.	.	PROPN
ejpam-4168	147	7	cabulao	cabulao	PROPN
ejpam-4168	147	8	,	,	PUNCT
ejpam-4168	147	9	r.	r.	PROPN
ejpam-4168	147	10	isla	isla	PROPN
ejpam-4168	147	11	/	/	SYM
ejpam-4168	147	12	eur	eur	PROPN
ejpam-4168	147	13	.	.	PUNCT
ejpam-4168	148	1	j.	j.	PROPN
ejpam-4168	148	2	pure	pure	PROPN
ejpam-4168	148	3	appl	appl	PROPN
ejpam-4168	148	4	.	.	PROPN
ejpam-4168	148	5	math	math	PROPN
ejpam-4168	148	6	,	,	PUNCT
ejpam-4168	148	7	14	14	NUM
ejpam-4168	148	8	(	(	PUNCT
ejpam-4168	148	9	4	4	NUM
ejpam-4168	148	10	)	)	PUNCT
ejpam-4168	148	11	(	(	PUNCT
ejpam-4168	148	12	2021	2021	NUM
ejpam-4168	148	13	)	)	PUNCT
ejpam-4168	148	14	,	,	PUNCT
ejpam-4168	148	15	1490	1490	NUM
ejpam-4168	148	16	-	-	SYM
ejpam-4168	148	17	1506	1506	NUM
ejpam-4168	148	18	1494	1494	NUM
ejpam-4168	148	19	s	s	AUX
ejpam-4168	148	20	=	=	PUNCT
ejpam-4168	148	21	{	{	PUNCT
ejpam-4168	148	22	u	u	NOUN
ejpam-4168	148	23	}	}	PUNCT
ejpam-4168	148	24	be	be	AUX
ejpam-4168	148	25	a	a	DET
ejpam-4168	148	26	∂cα	∂cα	NOUN
ejpam-4168	148	27	-	-	PUNCT
ejpam-4168	148	28	set	set	NOUN
ejpam-4168	148	29	of	of	ADP
ejpam-4168	148	30	km	km	PROPN
ejpam-4168	148	31	,	,	PUNCT
ejpam-4168	148	32	n.	n.	NOUN
ejpam-4168	148	33	if	if	SCONJ
ejpam-4168	148	34	u	u	PROPN
ejpam-4168	148	35	=	=	PROPN
ejpam-4168	148	36	uk	uk	PROPN
ejpam-4168	148	37	for	for	ADP
ejpam-4168	148	38	some	some	DET
ejpam-4168	148	39	k	k	NOUN
ejpam-4168	148	40	,	,	PUNCT
ejpam-4168	148	41	then	then	ADV
ejpam-4168	148	42	|nkm	|nkm	NOUN
ejpam-4168	148	43	,	,	PUNCT
ejpam-4168	148	44	n[u]|	n[u]|	PROPN
ejpam-4168	148	45	=	=	SYM
ejpam-4168	148	46	n+1	n+1	PROPN
ejpam-4168	148	47	≥	≥	NUM
ejpam-4168	148	48	α(m+n	α(m+n	NUM
ejpam-4168	148	49	)	)	PUNCT
ejpam-4168	148	50	,	,	PUNCT
ejpam-4168	148	51	showing	show	VERB
ejpam-4168	148	52	α	α	NOUN
ejpam-4168	148	53	≤	≤	NUM
ejpam-4168	148	54	n+1	n+1	PROPN
ejpam-4168	148	55	m+n	m+n	PROPN
ejpam-4168	148	56	.	.	PUNCT
ejpam-4168	149	1	suppose	suppose	VERB
ejpam-4168	149	2	that	that	SCONJ
ejpam-4168	149	3	u	u	PRON
ejpam-4168	149	4	=	=	PUNCT
ejpam-4168	149	5	vk	vk	VERB
ejpam-4168	149	6	for	for	ADP
ejpam-4168	149	7	some	some	DET
ejpam-4168	149	8	k.	k.	NOUN
ejpam-4168	149	9	then	then	ADV
ejpam-4168	149	10	|nkm	|nkm	PROPN
ejpam-4168	149	11	,	,	PUNCT
ejpam-4168	149	12	n	n	X
ejpam-4168	149	13	[	[	X
ejpam-4168	149	14	u]|	u]|	PUNCT
ejpam-4168	149	15	=	=	SYM
ejpam-4168	149	16	m+1	m+1	NUM
ejpam-4168	149	17	≥	≥	NOUN
ejpam-4168	149	18	α(m+n	α(m+n	NUM
ejpam-4168	149	19	)	)	PUNCT
ejpam-4168	149	20	.	.	PUNCT
ejpam-4168	150	1	since	since	SCONJ
ejpam-4168	150	2	m	m	PROPN
ejpam-4168	150	3	≤	≤	NOUN
ejpam-4168	150	4	n	n	CCONJ
ejpam-4168	150	5	,	,	PUNCT
ejpam-4168	150	6	n+	n+	ADP
ejpam-4168	150	7	1	1	NUM
ejpam-4168	150	8	≥	≥	NOUN
ejpam-4168	150	9	α(m+	α(m+	NOUN
ejpam-4168	150	10	n	n	CCONJ
ejpam-4168	150	11	)	)	PUNCT
ejpam-4168	150	12	,	,	PUNCT
ejpam-4168	150	13	showing	show	VERB
ejpam-4168	150	14	the	the	DET
ejpam-4168	150	15	desired	desire	VERB
ejpam-4168	150	16	inequality	inequality	NOUN
ejpam-4168	150	17	.	.	PUNCT
ejpam-4168	151	1	conversely	conversely	ADV
ejpam-4168	151	2	,	,	PUNCT
ejpam-4168	151	3	suppose	suppose	VERB
ejpam-4168	151	4	that	that	SCONJ
ejpam-4168	151	5	α	α	PROPN
ejpam-4168	151	6	≤	≤	NOUN
ejpam-4168	151	7	n+1	n+1	PROPN
ejpam-4168	151	8	m+n	m+n	PROPN
ejpam-4168	151	9	.	.	PUNCT
ejpam-4168	152	1	then	then	ADV
ejpam-4168	152	2	α(m	α(m	PROPN
ejpam-4168	152	3	+	+	CCONJ
ejpam-4168	152	4	n	n	CCONJ
ejpam-4168	152	5	)	)	PUNCT
ejpam-4168	152	6	≤	≤	NOUN
ejpam-4168	152	7	n	n	PRON
ejpam-4168	152	8	+	+	NOUN
ejpam-4168	152	9	1	1	X
ejpam-4168	152	10	.	.	X
ejpam-4168	152	11	for	for	ADP
ejpam-4168	152	12	all	all	DET
ejpam-4168	152	13	i	i	PRON
ejpam-4168	152	14	=	=	NOUN
ejpam-4168	152	15	1	1	NUM
ejpam-4168	152	16	,	,	PUNCT
ejpam-4168	152	17	2	2	NUM
ejpam-4168	152	18	,	,	PUNCT
ejpam-4168	152	19	...	...	PUNCT
ejpam-4168	152	20	,	,	PUNCT
ejpam-4168	152	21	m	m	PROPN
ejpam-4168	152	22	,	,	PUNCT
ejpam-4168	152	23	|ng[ui]|	|ng[ui]|	PROPN
ejpam-4168	152	24	=	=	SYM
ejpam-4168	152	25	n	n	PROPN
ejpam-4168	152	26	+	+	NOUN
ejpam-4168	152	27	1	1	NUM
ejpam-4168	152	28	≥	≥	NOUN
ejpam-4168	152	29	α(m	α(m	X
ejpam-4168	152	30	+	+	CCONJ
ejpam-4168	152	31	n	n	CCONJ
ejpam-4168	152	32	)	)	PUNCT
ejpam-4168	152	33	=	=	PRON
ejpam-4168	152	34	α|v	α|v	PROPN
ejpam-4168	152	35	(	(	PUNCT
ejpam-4168	152	36	km	km	PROPN
ejpam-4168	152	37	,	,	PUNCT
ejpam-4168	152	38	n)|	n)|	PROPN
ejpam-4168	152	39	.	.	PUNCT
ejpam-4168	153	1	then	then	ADV
ejpam-4168	153	2	,	,	PUNCT
ejpam-4168	153	3	s	s	VERB
ejpam-4168	153	4	=	=	PUNCT
ejpam-4168	153	5	{	{	PUNCT
ejpam-4168	153	6	ui	ui	NOUN
ejpam-4168	153	7	}	}	PUNCT
ejpam-4168	153	8	is	be	AUX
ejpam-4168	153	9	a	a	DET
ejpam-4168	153	10	∂cα	∂cα	NOUN
ejpam-4168	153	11	-	-	PUNCT
ejpam-4168	153	12	set	set	NOUN
ejpam-4168	153	13	of	of	ADP
ejpam-4168	153	14	km	km	PROPN
ejpam-4168	153	15	,	,	PUNCT
ejpam-4168	153	16	n	n	PROPN
ejpam-4168	153	17	for	for	ADP
ejpam-4168	153	18	all	all	DET
ejpam-4168	153	19	i	i	PRON
ejpam-4168	153	20	=	=	NOUN
ejpam-4168	153	21	1	1	NUM
ejpam-4168	153	22	,	,	PUNCT
ejpam-4168	153	23	2	2	NUM
ejpam-4168	153	24	,	,	PUNCT
ejpam-4168	153	25	...	...	PUNCT
ejpam-4168	153	26	,	,	PUNCT
ejpam-4168	153	27	m.	m.	NOUN
ejpam-4168	153	28	accordingly	accordingly	ADV
ejpam-4168	153	29	,	,	PUNCT
ejpam-4168	153	30	∂cα(km	∂cα(km	NOUN
ejpam-4168	153	31	,	,	PUNCT
ejpam-4168	153	32	n	n	CCONJ
ejpam-4168	153	33	)	)	PUNCT
ejpam-4168	153	34	=	=	SYM
ejpam-4168	154	1	1	1	X
ejpam-4168	154	2	.	.	X
ejpam-4168	155	1	for	for	ADP
ejpam-4168	155	2	n+1	n+1	PROPN
ejpam-4168	155	3	m+n	m+n	PROPN
ejpam-4168	155	4	<	<	X
ejpam-4168	155	5	α	α	PROPN
ejpam-4168	155	6	≤	≤	NUM
ejpam-4168	155	7	1	1	NUM
ejpam-4168	155	8	,	,	PUNCT
ejpam-4168	155	9	r	r	NOUN
ejpam-4168	155	10	=	=	SYM
ejpam-4168	155	11	{	{	PUNCT
ejpam-4168	155	12	ui	ui	PROPN
ejpam-4168	155	13	,	,	PUNCT
ejpam-4168	155	14	vj	vj	ADP
ejpam-4168	155	15	}	}	PUNCT
ejpam-4168	155	16	for	for	ADP
ejpam-4168	155	17	some	some	DET
ejpam-4168	155	18	1	1	NUM
ejpam-4168	155	19	≤	≤	NUM
ejpam-4168	155	20	i	i	PRON
ejpam-4168	155	21	≤	≤	NOUN
ejpam-4168	155	22	m	m	ADP
ejpam-4168	155	23	,	,	PUNCT
ejpam-4168	155	24	1	1	NUM
ejpam-4168	155	25	≤	≤	NUM
ejpam-4168	155	26	j	j	PROPN
ejpam-4168	155	27	≤	≤	NOUN
ejpam-4168	155	28	n	n	CCONJ
ejpam-4168	155	29	is	be	AUX
ejpam-4168	155	30	clearly	clearly	ADV
ejpam-4168	155	31	a	a	DET
ejpam-4168	155	32	∂cα	∂cα	NOUN
ejpam-4168	155	33	-	-	PUNCT
ejpam-4168	155	34	set	set	NOUN
ejpam-4168	155	35	,	,	PUNCT
ejpam-4168	155	36	hence	hence	ADV
ejpam-4168	155	37	∂cα(km	∂cα(km	NOUN
ejpam-4168	155	38	,	,	PUNCT
ejpam-4168	155	39	n	n	CCONJ
ejpam-4168	155	40	)	)	PUNCT
ejpam-4168	155	41	=	=	SYM
ejpam-4168	155	42	2	2	X
ejpam-4168	155	43	.	.	X
ejpam-4168	155	44	proposition	proposition	NOUN
ejpam-4168	155	45	3	3	NUM
ejpam-4168	155	46	.	.	X
ejpam-4168	156	1	for	for	ADP
ejpam-4168	156	2	any	any	DET
ejpam-4168	156	3	path	path	NOUN
ejpam-4168	156	4	or	or	CCONJ
ejpam-4168	156	5	cycle	cycle	NOUN
ejpam-4168	156	6	of	of	ADP
ejpam-4168	156	7	length	length	NOUN
ejpam-4168	156	8	n	n	CCONJ
ejpam-4168	156	9	,	,	PUNCT
ejpam-4168	156	10	∂c	∂c	PROPN
ejpam-4168	156	11	1	1	NUM
ejpam-4168	156	12	2	2	NUM
ejpam-4168	156	13	(	(	PUNCT
ejpam-4168	156	14	pn	pn	NOUN
ejpam-4168	156	15	)	)	PUNCT
ejpam-4168	156	16	=	=	SYM
ejpam-4168	156	17	1	1	NUM
ejpam-4168	156	18	for	for	ADP
ejpam-4168	156	19	1	1	NUM
ejpam-4168	156	20	≤	≤	NOUN
ejpam-4168	156	21	n	n	CCONJ
ejpam-4168	156	22	≤	≤	NOUN
ejpam-4168	156	23	4	4	NUM
ejpam-4168	156	24	,	,	PUNCT
ejpam-4168	156	25	∂c	∂c	NOUN
ejpam-4168	156	26	1	1	NUM
ejpam-4168	156	27	2	2	NUM
ejpam-4168	156	28	(	(	PUNCT
ejpam-4168	156	29	cn	cn	PROPN
ejpam-4168	156	30	)	)	PUNCT
ejpam-4168	156	31	=	=	SYM
ejpam-4168	156	32	1	1	NUM
ejpam-4168	156	33	for	for	ADP
ejpam-4168	156	34	3	3	NUM
ejpam-4168	156	35	≤	≤	NOUN
ejpam-4168	156	36	n	n	PRON
ejpam-4168	156	37	≤	≤	NOUN
ejpam-4168	156	38	4	4	NUM
ejpam-4168	156	39	,	,	PUNCT
ejpam-4168	156	40	and	and	CCONJ
ejpam-4168	156	41	∂c	∂c	PROPN
ejpam-4168	156	42	1	1	NUM
ejpam-4168	156	43	2	2	NUM
ejpam-4168	156	44	(	(	PUNCT
ejpam-4168	156	45	pn	pn	NOUN
ejpam-4168	156	46	)	)	PUNCT
ejpam-4168	156	47	=	=	PUNCT
ejpam-4168	156	48	∂c	∂c	NOUN
ejpam-4168	156	49	1	1	NUM
ejpam-4168	156	50	2	2	NUM
ejpam-4168	156	51	(	(	PUNCT
ejpam-4168	156	52	cn	cn	NOUN
ejpam-4168	156	53	)	)	PUNCT
ejpam-4168	156	54	=	=	NOUN
ejpam-4168	156	55	⌈n2	⌈n2	NOUN
ejpam-4168	156	56	⌉	⌉	PRON
ejpam-4168	156	57	−	−	PROPN
ejpam-4168	156	58	2	2	NUM
ejpam-4168	156	59	for	for	ADP
ejpam-4168	156	60	n	n	X
ejpam-4168	156	61	≥	≥	NUM
ejpam-4168	156	62	5	5	NUM
ejpam-4168	156	63	.	.	PUNCT
ejpam-4168	156	64	proof	proof	NOUN
ejpam-4168	156	65	:	:	PUNCT
ejpam-4168	156	66	let	let	VERB
ejpam-4168	156	67	pn	pn	VERB
ejpam-4168	156	68	=	=	PUNCT
ejpam-4168	157	1	[	[	X
ejpam-4168	157	2	v1	v1	NOUN
ejpam-4168	157	3	,	,	PUNCT
ejpam-4168	157	4	v2	v2	PROPN
ejpam-4168	157	5	,	,	PUNCT
ejpam-4168	157	6	...	...	PUNCT
ejpam-4168	157	7	,	,	PUNCT
ejpam-4168	157	8	vn	vn	X
ejpam-4168	157	9	]	]	PUNCT
ejpam-4168	157	10	.	.	PUNCT
ejpam-4168	158	1	if	if	SCONJ
ejpam-4168	158	2	1	1	NUM
ejpam-4168	158	3	≤	≤	NUM
ejpam-4168	158	4	n	n	CCONJ
ejpam-4168	158	5	≤	≤	NOUN
ejpam-4168	158	6	4	4	NUM
ejpam-4168	158	7	,	,	PUNCT
ejpam-4168	158	8	then	then	ADV
ejpam-4168	158	9	clearly	clearly	ADV
ejpam-4168	158	10	,	,	PUNCT
ejpam-4168	158	11	∂c	∂c	PROPN
ejpam-4168	158	12	1	1	NUM
ejpam-4168	158	13	2	2	NUM
ejpam-4168	158	14	(	(	PUNCT
ejpam-4168	158	15	pn	pn	NOUN
ejpam-4168	158	16	)	)	PUNCT
ejpam-4168	158	17	=	=	SYM
ejpam-4168	158	18	1	1	X
ejpam-4168	158	19	.	.	PUNCT
ejpam-4168	158	20	suppose	suppose	VERB
ejpam-4168	158	21	that	that	SCONJ
ejpam-4168	158	22	n	n	PROPN
ejpam-4168	158	23	≥	≥	NUM
ejpam-4168	158	24	5	5	NUM
ejpam-4168	158	25	.	.	PUNCT
ejpam-4168	159	1	let	let	VERB
ejpam-4168	159	2	s	s	VERB
ejpam-4168	159	3	=	=	PUNCT
ejpam-4168	159	4	{	{	PUNCT
ejpam-4168	159	5	u2	u2	PROPN
ejpam-4168	159	6	,	,	PUNCT
ejpam-4168	159	7	...	...	PUNCT
ejpam-4168	159	8	,	,	PUNCT
ejpam-4168	159	9	u⌈n	u⌈n	ADV
ejpam-4168	159	10	2	2	NUM
ejpam-4168	159	11	⌉−1	⌉−1	PROPN
ejpam-4168	159	12	}	}	PUNCT
ejpam-4168	159	13	.	.	PUNCT
ejpam-4168	160	1	then	then	ADV
ejpam-4168	160	2	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	160	3	is	be	AUX
ejpam-4168	160	4	connected	connect	VERB
ejpam-4168	160	5	and	and	CCONJ
ejpam-4168	160	6	|npn	|npn	NOUN
ejpam-4168	160	7	[	[	X
ejpam-4168	160	8	s]|	s]|	X
ejpam-4168	160	9	=	=	SYM
ejpam-4168	160	10	|s|	|s|	PROPN
ejpam-4168	160	11	+	+	SYM
ejpam-4168	160	12	2	2	NUM
ejpam-4168	160	13	=(	=(	NOUN
ejpam-4168	160	14	⌈n2	⌈n2	NOUN
ejpam-4168	160	15	⌉	⌉	PRON
ejpam-4168	160	16	−	−	PROPN
ejpam-4168	160	17	2	2	NUM
ejpam-4168	160	18	)	)	PUNCT
ejpam-4168	160	19	+2	+2	NOUN
ejpam-4168	161	1	=	=	PUNCT
ejpam-4168	161	2	⌈n2	⌈n2	NOUN
ejpam-4168	161	3	⌉	⌉	X
ejpam-4168	161	4	≥	≥	NUM
ejpam-4168	161	5	1	1	NUM
ejpam-4168	161	6	2	2	NUM
ejpam-4168	161	7	·	·	SYM
ejpam-4168	161	8	n	n	CCONJ
ejpam-4168	161	9	,	,	PUNCT
ejpam-4168	161	10	hence	hence	ADV
ejpam-4168	161	11	s	s	NOUN
ejpam-4168	161	12	is	be	AUX
ejpam-4168	161	13	a	a	DET
ejpam-4168	161	14	connected	connected	ADJ
ejpam-4168	161	15	1	1	NUM
ejpam-4168	161	16	2	2	NUM
ejpam-4168	161	17	-partial	-partial	ADJ
ejpam-4168	161	18	dominating	dominating	NOUN
ejpam-4168	161	19	set	set	VERB
ejpam-4168	161	20	in	in	ADP
ejpam-4168	161	21	pn	pn	PROPN
ejpam-4168	161	22	.	.	PUNCT
ejpam-4168	162	1	thus	thus	ADV
ejpam-4168	162	2	,	,	PUNCT
ejpam-4168	162	3	∂c	∂c	PROPN
ejpam-4168	162	4	1	1	NUM
ejpam-4168	162	5	2	2	NUM
ejpam-4168	162	6	(	(	PUNCT
ejpam-4168	162	7	pn	pn	NOUN
ejpam-4168	162	8	)	)	PUNCT
ejpam-4168	162	9	≤	≤	NUM
ejpam-4168	162	10	|s|	|s|	PROPN
ejpam-4168	162	11	=	=	NOUN
ejpam-4168	162	12	⌈n2	⌈n2	NOUN
ejpam-4168	162	13	⌉−	⌉−	X
ejpam-4168	162	14	2	2	X
ejpam-4168	162	15	.	.	PUNCT
ejpam-4168	163	1	moreover	moreover	ADV
ejpam-4168	163	2	,	,	PUNCT
ejpam-4168	163	3	any	any	DET
ejpam-4168	163	4	connected	connected	ADJ
ejpam-4168	163	5	1	1	NUM
ejpam-4168	163	6	2	2	NUM
ejpam-4168	163	7	-partial	-partial	ADJ
ejpam-4168	163	8	dominating	dominating	NOUN
ejpam-4168	163	9	set	set	VERB
ejpam-4168	163	10	in	in	ADP
ejpam-4168	163	11	pn	pn	PROPN
ejpam-4168	163	12	should	should	AUX
ejpam-4168	163	13	dominate	dominate	VERB
ejpam-4168	163	14	at	at	ADP
ejpam-4168	163	15	least	least	ADJ
ejpam-4168	163	16	⌈n2	⌈n2	ADJ
ejpam-4168	163	17	⌉	⌉	NOUN
ejpam-4168	163	18	of	of	ADP
ejpam-4168	163	19	its	its	PRON
ejpam-4168	163	20	vertices	vertex	NOUN
ejpam-4168	163	21	,	,	PUNCT
ejpam-4168	163	22	thus	thus	ADV
ejpam-4168	163	23	it	it	PRON
ejpam-4168	163	24	should	should	AUX
ejpam-4168	163	25	consist	consist	VERB
ejpam-4168	163	26	of	of	ADP
ejpam-4168	163	27	at	at	ADV
ejpam-4168	163	28	least	least	ADJ
ejpam-4168	163	29	⌈n2	⌈n2	NOUN
ejpam-4168	163	30	⌉	⌉	SCONJ
ejpam-4168	163	31	−	−	PROPN
ejpam-4168	163	32	2	2	NUM
ejpam-4168	163	33	adjacent	adjacent	ADJ
ejpam-4168	163	34	vertices	vertex	NOUN
ejpam-4168	163	35	,	,	PUNCT
ejpam-4168	163	36	none	none	NOUN
ejpam-4168	163	37	of	of	ADP
ejpam-4168	163	38	which	which	PRON
ejpam-4168	163	39	is	be	AUX
ejpam-4168	163	40	an	an	DET
ejpam-4168	163	41	end	end	NOUN
ejpam-4168	163	42	-	-	PUNCT
ejpam-4168	163	43	vertex	vertex	NOUN
ejpam-4168	163	44	of	of	ADP
ejpam-4168	163	45	pn	pn	PROPN
ejpam-4168	163	46	.	.	PUNCT
ejpam-4168	163	47	thus	thus	ADV
ejpam-4168	163	48	,	,	PUNCT
ejpam-4168	163	49	∂c	∂c	PROPN
ejpam-4168	163	50	1	1	NUM
ejpam-4168	163	51	2	2	NUM
ejpam-4168	163	52	(	(	PUNCT
ejpam-4168	163	53	pn	pn	NOUN
ejpam-4168	163	54	)	)	PUNCT
ejpam-4168	163	55	≥	≥	NOUN
ejpam-4168	163	56	⌈n2	⌈n2	NOUN
ejpam-4168	163	57	⌉	⌉	PUNCT
ejpam-4168	163	58	−	−	PROPN
ejpam-4168	163	59	2	2	NUM
ejpam-4168	163	60	.	.	PUNCT
ejpam-4168	163	61	therefore	therefore	ADV
ejpam-4168	163	62	,	,	PUNCT
ejpam-4168	163	63	∂c	∂c	PROPN
ejpam-4168	163	64	1	1	NUM
ejpam-4168	163	65	2	2	NUM
ejpam-4168	163	66	(	(	PUNCT
ejpam-4168	163	67	pn	pn	NOUN
ejpam-4168	163	68	)	)	PUNCT
ejpam-4168	163	69	=	=	NOUN
ejpam-4168	163	70	⌈n2	⌈n2	NOUN
ejpam-4168	163	71	⌉	⌉	PRON
ejpam-4168	163	72	−	−	PROPN
ejpam-4168	163	73	2	2	NUM
ejpam-4168	163	74	.	.	PUNCT
ejpam-4168	163	75	similarly	similarly	ADV
ejpam-4168	163	76	,	,	PUNCT
ejpam-4168	163	77	it	it	PRON
ejpam-4168	163	78	can	can	AUX
ejpam-4168	163	79	be	be	AUX
ejpam-4168	163	80	shown	show	VERB
ejpam-4168	163	81	that	that	SCONJ
ejpam-4168	163	82	∂c	∂c	PROPN
ejpam-4168	163	83	1	1	NUM
ejpam-4168	163	84	2	2	NUM
ejpam-4168	163	85	(	(	PUNCT
ejpam-4168	163	86	cn	cn	NOUN
ejpam-4168	163	87	)	)	PUNCT
ejpam-4168	163	88	=	=	NOUN
ejpam-4168	163	89	⌈n2	⌈n2	NOUN
ejpam-4168	163	90	⌉	⌉	PRON
ejpam-4168	163	91	−	−	PROPN
ejpam-4168	163	92	2	2	NUM
ejpam-4168	163	93	for	for	ADP
ejpam-4168	163	94	n	n	X
ejpam-4168	163	95	≥	≥	NUM
ejpam-4168	163	96	5	5	NUM
ejpam-4168	163	97	,	,	PUNCT
ejpam-4168	163	98	where	where	SCONJ
ejpam-4168	163	99	a	a	DET
ejpam-4168	163	100	connected	connected	ADJ
ejpam-4168	163	101	1	1	NUM
ejpam-4168	163	102	2	2	NUM
ejpam-4168	163	103	-partial	-partial	ADJ
ejpam-4168	163	104	dominating	dominating	NOUN
ejpam-4168	163	105	set	set	NOUN
ejpam-4168	163	106	consists	consist	VERB
ejpam-4168	163	107	of	of	ADP
ejpam-4168	163	108	at	at	ADV
ejpam-4168	163	109	least	least	ADJ
ejpam-4168	163	110	⌈n2	⌈n2	NOUN
ejpam-4168	163	111	⌉	⌉	SCONJ
ejpam-4168	163	112	−	−	PROPN
ejpam-4168	163	113	2	2	NUM
ejpam-4168	163	114	adjacent	adjacent	ADJ
ejpam-4168	163	115	vertices	vertex	NOUN
ejpam-4168	163	116	of	of	ADP
ejpam-4168	163	117	cn	cn	PROPN
ejpam-4168	163	118	.	.	PUNCT
ejpam-4168	163	119	clearly	clearly	ADV
ejpam-4168	163	120	,	,	PUNCT
ejpam-4168	163	121	∂c	∂c	PROPN
ejpam-4168	163	122	1	1	NUM
ejpam-4168	163	123	2	2	NUM
ejpam-4168	163	124	(	(	PUNCT
ejpam-4168	163	125	c3	c3	NOUN
ejpam-4168	163	126	)	)	PUNCT
ejpam-4168	163	127	=	=	PUNCT
ejpam-4168	164	1	∂c	∂c	NOUN
ejpam-4168	164	2	1	1	NUM
ejpam-4168	164	3	2	2	NUM
ejpam-4168	164	4	(	(	PUNCT
ejpam-4168	164	5	c4	c4	NOUN
ejpam-4168	164	6	)	)	PUNCT
ejpam-4168	164	7	=	=	SYM
ejpam-4168	165	1	1	1	X
ejpam-4168	165	2	.	.	X
ejpam-4168	166	1	we	we	PRON
ejpam-4168	166	2	now	now	ADV
ejpam-4168	166	3	present	present	VERB
ejpam-4168	166	4	some	some	DET
ejpam-4168	166	5	realization	realization	NOUN
ejpam-4168	166	6	problems	problem	NOUN
ejpam-4168	166	7	.	.	PUNCT
ejpam-4168	167	1	theorem	theorem	NOUN
ejpam-4168	167	2	1	1	NUM
ejpam-4168	167	3	.	.	PUNCT
ejpam-4168	168	1	let	let	VERB
ejpam-4168	168	2	a	a	PRON
ejpam-4168	168	3	and	and	CCONJ
ejpam-4168	168	4	b	b	NOUN
ejpam-4168	168	5	be	be	AUX
ejpam-4168	168	6	positive	positive	ADJ
ejpam-4168	168	7	integers	integer	NOUN
ejpam-4168	168	8	such	such	ADJ
ejpam-4168	168	9	that	that	DET
ejpam-4168	168	10	b	b	NOUN
ejpam-4168	168	11	=	=	SYM
ejpam-4168	168	12	3a	3a	NUM
ejpam-4168	168	13	−	−	NOUN
ejpam-4168	169	1	2	2	X
ejpam-4168	169	2	.	.	PUNCT
ejpam-4168	169	3	then	then	ADV
ejpam-4168	169	4	there	there	PRON
ejpam-4168	169	5	exists	exist	VERB
ejpam-4168	169	6	a	a	DET
ejpam-4168	169	7	connected	connected	ADJ
ejpam-4168	169	8	graph	graph	NOUN
ejpam-4168	169	9	g	g	ADP
ejpam-4168	169	10	such	such	DET
ejpam-4168	169	11	that	that	DET
ejpam-4168	169	12	∂	∂	NUM
ejpam-4168	169	13	1	1	NUM
ejpam-4168	169	14	2	2	NUM
ejpam-4168	169	15	(	(	PUNCT
ejpam-4168	169	16	g	g	NOUN
ejpam-4168	169	17	)	)	PUNCT
ejpam-4168	169	18	=	=	PUNCT
ejpam-4168	169	19	a	a	PROPN
ejpam-4168	169	20	and	and	CCONJ
ejpam-4168	169	21	∂c	∂c	PROPN
ejpam-4168	169	22	1	1	NUM
ejpam-4168	169	23	2	2	NUM
ejpam-4168	169	24	(	(	PUNCT
ejpam-4168	169	25	g	g	NOUN
ejpam-4168	169	26	)	)	PUNCT
ejpam-4168	169	27	=	=	SYM
ejpam-4168	170	1	b.	b.	PROPN
ejpam-4168	170	2	proof	proof	NOUN
ejpam-4168	170	3	:	:	PUNCT
ejpam-4168	170	4	case	case	NOUN
ejpam-4168	170	5	1	1	NUM
ejpam-4168	170	6	.	.	PUNCT
ejpam-4168	171	1	a	a	PRON
ejpam-4168	171	2	=	=	NOUN
ejpam-4168	171	3	1	1	NUM
ejpam-4168	171	4	then	then	ADV
ejpam-4168	171	5	b	b	X
ejpam-4168	171	6	=	=	SYM
ejpam-4168	171	7	1	1	X
ejpam-4168	171	8	.	.	PUNCT
ejpam-4168	171	9	let	let	VERB
ejpam-4168	171	10	g	g	NOUN
ejpam-4168	171	11	be	be	AUX
ejpam-4168	171	12	the	the	DET
ejpam-4168	171	13	graph	graph	NOUN
ejpam-4168	171	14	shown	show	VERB
ejpam-4168	171	15	in	in	ADP
ejpam-4168	171	16	figure	figure	NOUN
ejpam-4168	171	17	3	3	NUM
ejpam-4168	171	18	.	.	PUNCT
ejpam-4168	172	1	now	now	ADV
ejpam-4168	172	2	,	,	PUNCT
ejpam-4168	172	3	s	s	VERB
ejpam-4168	172	4	=	=	PUNCT
ejpam-4168	172	5	{	{	PUNCT
ejpam-4168	172	6	x1	x1	PROPN
ejpam-4168	172	7	}	}	PUNCT
ejpam-4168	172	8	is	be	AUX
ejpam-4168	172	9	both	both	PRON
ejpam-4168	172	10	a	a	DET
ejpam-4168	172	11	∂	∂	NUM
ejpam-4168	172	12	1	1	NUM
ejpam-4168	172	13	2	2	NUM
ejpam-4168	172	14	-set	-set	PUNCT
ejpam-4168	172	15	and	and	CCONJ
ejpam-4168	172	16	a	a	DET
ejpam-4168	172	17	∂c	∂c	PROPN
ejpam-4168	172	18	1	1	NUM
ejpam-4168	172	19	2	2	NUM
ejpam-4168	172	20	-set	-set	PUNCT
ejpam-4168	172	21	of	of	ADP
ejpam-4168	172	22	g.	g.	PROPN
ejpam-4168	172	23	hence	hence	ADV
ejpam-4168	172	24	,	,	PUNCT
ejpam-4168	172	25	∂	∂	NUM
ejpam-4168	172	26	1	1	NUM
ejpam-4168	172	27	2	2	NUM
ejpam-4168	172	28	(	(	PUNCT
ejpam-4168	172	29	g	g	NOUN
ejpam-4168	172	30	)	)	PUNCT
ejpam-4168	172	31	=	=	PUNCT
ejpam-4168	173	1	∂c	∂c	NOUN
ejpam-4168	174	1	1	1	NUM
ejpam-4168	174	2	2	2	NUM
ejpam-4168	174	3	(	(	PUNCT
ejpam-4168	174	4	g	g	NOUN
ejpam-4168	174	5	)	)	PUNCT
ejpam-4168	174	6	=	=	SYM
ejpam-4168	175	1	1	1	X
ejpam-4168	175	2	.	.	PUNCT
ejpam-4168	175	3	...................................................................................	...................................................................................	PUNCT
ejpam-4168	175	4	....................................	....................................	PUNCT
ejpam-4168	175	5	.........	.........	PUNCT
ejpam-4168	175	6	........	........	PUNCT
ejpam-4168	175	7	........	........	PUNCT
ejpam-4168	175	8	........	........	PUNCT
ejpam-4168	175	9	........	........	PUNCT
ejpam-4168	175	10	........	........	PUNCT
ejpam-4168	175	11	........	........	PUNCT
ejpam-4168	175	12	........	........	PUNCT
ejpam-4168	175	13	........	........	PUNCT
ejpam-4168	175	14	...	...	PUNCT
ejpam-4168	175	15	....................................	....................................	PUNCT
ejpam-4168	175	16	.........	.........	PUNCT
ejpam-4168	175	17	........	........	PUNCT
ejpam-4168	175	18	........	........	PUNCT
ejpam-4168	175	19	........	........	PUNCT
ejpam-4168	175	20	........	........	PUNCT
ejpam-4168	175	21	........	........	PUNCT
ejpam-4168	175	22	........	........	PUNCT
ejpam-4168	175	23	........	........	PUNCT
ejpam-4168	175	24	........	........	PUNCT
ejpam-4168	175	25	...	...	PUNCT
ejpam-4168	175	26	....................................	....................................	PUNCT
ejpam-4168	176	1	....................................	....................................	PUNCT
ejpam-4168	177	1	x1	x1	NUM
ejpam-4168	177	2	•	•	NUM
ejpam-4168	177	3	g	g	NOUN
ejpam-4168	177	4	:	:	PUNCT
ejpam-4168	177	5	figure	figure	VERB
ejpam-4168	177	6	3	3	NUM
ejpam-4168	177	7	:	:	PUNCT
ejpam-4168	177	8	a	a	DET
ejpam-4168	177	9	graph	graph	NOUN
ejpam-4168	177	10	g	g	NOUN
ejpam-4168	177	11	with	with	ADP
ejpam-4168	177	12	∂	∂	NUM
ejpam-4168	177	13	1	1	NUM
ejpam-4168	177	14	2	2	NUM
ejpam-4168	177	15	(	(	PUNCT
ejpam-4168	177	16	g	g	NOUN
ejpam-4168	177	17	)	)	PUNCT
ejpam-4168	177	18	=	=	PUNCT
ejpam-4168	178	1	∂c	∂c	NOUN
ejpam-4168	179	1	1	1	NUM
ejpam-4168	179	2	2	2	NUM
ejpam-4168	179	3	(	(	PUNCT
ejpam-4168	179	4	g	g	NOUN
ejpam-4168	179	5	)	)	PUNCT
ejpam-4168	179	6	=	=	SYM
ejpam-4168	179	7	1	1	NUM
ejpam-4168	179	8	case	case	NOUN
ejpam-4168	179	9	2	2	NUM
ejpam-4168	179	10	.	.	PUNCT
ejpam-4168	180	1	a	a	DET
ejpam-4168	180	2	≥	≥	NOUN
ejpam-4168	180	3	2	2	NUM
ejpam-4168	180	4	let	let	VERB
ejpam-4168	180	5	g	g	NOUN
ejpam-4168	180	6	be	be	AUX
ejpam-4168	180	7	the	the	DET
ejpam-4168	180	8	graph	graph	NOUN
ejpam-4168	180	9	shown	show	VERB
ejpam-4168	180	10	in	in	ADP
ejpam-4168	180	11	figure	figure	NOUN
ejpam-4168	180	12	4	4	NUM
ejpam-4168	180	13	.	.	PUNCT
ejpam-4168	180	14	put	put	VERB
ejpam-4168	180	15	a	a	PRON
ejpam-4168	180	16	=	=	X
ejpam-4168	180	17	{	{	PUNCT
ejpam-4168	180	18	xi	xi	X
ejpam-4168	180	19	:	:	PUNCT
ejpam-4168	180	20	i	i	NOUN
ejpam-4168	180	21	=	=	NOUN
ejpam-4168	180	22	1	1	NUM
ejpam-4168	180	23	,	,	PUNCT
ejpam-4168	180	24	2	2	NUM
ejpam-4168	180	25	,	,	PUNCT
ejpam-4168	180	26	...	...	PUNCT
ejpam-4168	180	27	,	,	PUNCT
ejpam-4168	180	28	a	a	PRON
ejpam-4168	180	29	}	}	PUNCT
ejpam-4168	180	30	and	and	CCONJ
ejpam-4168	180	31	b	b	X
ejpam-4168	180	32	=	=	NOUN
ejpam-4168	180	33	a	a	DET
ejpam-4168	180	34	∪	∪	X
ejpam-4168	180	35	{	{	PUNCT
ejpam-4168	180	36	uk	uk	PROPN
ejpam-4168	180	37	:	:	PUNCT
ejpam-4168	180	38	k	k	X
ejpam-4168	180	39	=	=	SYM
ejpam-4168	180	40	1	1	NUM
ejpam-4168	180	41	,	,	PUNCT
ejpam-4168	180	42	2	2	NUM
ejpam-4168	180	43	,	,	PUNCT
ejpam-4168	180	44	...	...	PUNCT
ejpam-4168	180	45	,	,	PUNCT
ejpam-4168	180	46	2a	2a	NUM
ejpam-4168	180	47	−	−	NOUN
ejpam-4168	181	1	2	2	NUM
ejpam-4168	181	2	}	}	PUNCT
ejpam-4168	181	3	.	.	PUNCT
ejpam-4168	182	1	now	now	ADV
ejpam-4168	182	2	,	,	PUNCT
ejpam-4168	182	3	|v	|v	PROPN
ejpam-4168	182	4	(	(	PUNCT
ejpam-4168	182	5	g)|	g)|	NOUN
ejpam-4168	182	6	=	=	PUNCT
ejpam-4168	182	7	2a	2a	NUM
ejpam-4168	183	1	+	+	CCONJ
ejpam-4168	183	2	2(2a	2(2a	NUM
ejpam-4168	183	3	−	−	NOUN
ejpam-4168	183	4	1	1	NUM
ejpam-4168	183	5	)	)	PUNCT
ejpam-4168	183	6	+	+	CCONJ
ejpam-4168	183	7	1	1	NUM
ejpam-4168	183	8	+	+	NUM
ejpam-4168	183	9	2(2a	2(2a	NUM
ejpam-4168	183	10	)	)	PUNCT
ejpam-4168	184	1	=	=	SYM
ejpam-4168	184	2	10a	10a	NOUN
ejpam-4168	184	3	−	−	PROPN
ejpam-4168	184	4	1	1	NUM
ejpam-4168	184	5	,	,	PUNCT
ejpam-4168	184	6	|ng[a]|	|ng[a]|	NOUN
ejpam-4168	184	7	=	=	PUNCT
ejpam-4168	184	8	|a|+	|a|+	NOUN
ejpam-4168	184	9	(	(	PUNCT
ejpam-4168	184	10	2a−	2a−	PROPN
ejpam-4168	184	11	2)+	2)+	NUM
ejpam-4168	184	12	2|a|+2	2|a|+2	NUM
ejpam-4168	184	13	=	=	SYM
ejpam-4168	184	14	5a	5a	NUM
ejpam-4168	184	15	and	and	CCONJ
ejpam-4168	184	16	|ng[b]|	|ng[b]|	PROPN
ejpam-4168	184	17	=	=	PRON
ejpam-4168	184	18	a+	a+	PUNCT
ejpam-4168	184	19	(	(	PUNCT
ejpam-4168	184	20	2a−	2a−	NUM
ejpam-4168	184	21	2)+	2)+	NUM
ejpam-4168	184	22	2a+2	2a+2	PROPN
ejpam-4168	184	23	=	=	SYM
ejpam-4168	184	24	5a	5a	NUM
ejpam-4168	184	25	so	so	SCONJ
ejpam-4168	184	26	that	that	SCONJ
ejpam-4168	184	27	j.m	j.m	PROPN
ejpam-4168	184	28	.	.	PROPN
ejpam-4168	184	29	cabulao	cabulao	PROPN
ejpam-4168	184	30	,	,	PUNCT
ejpam-4168	184	31	r.	r.	PROPN
ejpam-4168	184	32	isla	isla	PROPN
ejpam-4168	184	33	/	/	SYM
ejpam-4168	184	34	eur	eur	PROPN
ejpam-4168	184	35	.	.	PUNCT
ejpam-4168	185	1	j.	j.	PROPN
ejpam-4168	185	2	pure	pure	PROPN
ejpam-4168	185	3	appl	appl	PROPN
ejpam-4168	185	4	.	.	PROPN
ejpam-4168	185	5	math	math	PROPN
ejpam-4168	185	6	,	,	PUNCT
ejpam-4168	185	7	14	14	NUM
ejpam-4168	185	8	(	(	PUNCT
ejpam-4168	185	9	4	4	NUM
ejpam-4168	185	10	)	)	PUNCT
ejpam-4168	185	11	(	(	PUNCT
ejpam-4168	185	12	2021	2021	NUM
ejpam-4168	185	13	)	)	PUNCT
ejpam-4168	185	14	,	,	PUNCT
ejpam-4168	185	15	1490	1490	NUM
ejpam-4168	185	16	-	-	SYM
ejpam-4168	185	17	1506	1506	NUM
ejpam-4168	185	18	1495	1495	NUM
ejpam-4168	185	19	|ng[a]|	|ng[a]|	NOUN
ejpam-4168	186	1	=	=	PUNCT
ejpam-4168	186	2	|ng[b]|	|ng[b]|	PROPN
ejpam-4168	186	3	≥	≥	NUM
ejpam-4168	186	4	1	1	NUM
ejpam-4168	186	5	2	2	NUM
ejpam-4168	186	6	|v	|v	X
ejpam-4168	186	7	(	(	PUNCT
ejpam-4168	186	8	g)|	g)|	NOUN
ejpam-4168	186	9	=	=	SYM
ejpam-4168	186	10	1	1	NUM
ejpam-4168	186	11	2(10a−1	2(10a−1	NUM
ejpam-4168	186	12	)	)	PUNCT
ejpam-4168	186	13	=	=	PUNCT
ejpam-4168	187	1	5a−	5a−	NUM
ejpam-4168	187	2	1	1	NUM
ejpam-4168	187	3	2	2	NUM
ejpam-4168	187	4	.	.	PUNCT
ejpam-4168	188	1	clearly	clearly	ADV
ejpam-4168	188	2	,	,	PUNCT
ejpam-4168	188	3	a	a	PRON
ejpam-4168	188	4	and	and	CCONJ
ejpam-4168	188	5	b	b	NOUN
ejpam-4168	188	6	are	be	AUX
ejpam-4168	188	7	∂	∂	NUM
ejpam-4168	188	8	1	1	NUM
ejpam-4168	188	9	2	2	NUM
ejpam-4168	188	10	-set	-set	PUNCT
ejpam-4168	188	11	and	and	CCONJ
ejpam-4168	188	12	∂c	∂c	PROPN
ejpam-4168	188	13	1	1	NUM
ejpam-4168	188	14	2	2	NUM
ejpam-4168	188	15	set	set	VERB
ejpam-4168	188	16	ing	ing	NOUN
ejpam-4168	188	17	,	,	PUNCT
ejpam-4168	188	18	respectively	respectively	ADV
ejpam-4168	188	19	.	.	PUNCT
ejpam-4168	189	1	thus	thus	ADV
ejpam-4168	189	2	,	,	PUNCT
ejpam-4168	189	3	∂	∂	NUM
ejpam-4168	189	4	1	1	NUM
ejpam-4168	189	5	2	2	NUM
ejpam-4168	189	6	(	(	PUNCT
ejpam-4168	189	7	g	g	NOUN
ejpam-4168	189	8	)	)	PUNCT
ejpam-4168	189	9	=	=	SYM
ejpam-4168	189	10	|a|	|a|	PROPN
ejpam-4168	189	11	=	=	PUNCT
ejpam-4168	189	12	a	a	PROPN
ejpam-4168	189	13	and	and	CCONJ
ejpam-4168	189	14	∂c	∂c	PROPN
ejpam-4168	189	15	1	1	NUM
ejpam-4168	189	16	2	2	NUM
ejpam-4168	189	17	(	(	PUNCT
ejpam-4168	189	18	g	g	NOUN
ejpam-4168	189	19	)	)	PUNCT
ejpam-4168	189	20	=	=	SYM
ejpam-4168	189	21	|b|	|b|	PROPN
ejpam-4168	189	22	=	=	SYM
ejpam-4168	189	23	a+(2a−2	a+(2a−2	PROPN
ejpam-4168	189	24	)	)	PUNCT
ejpam-4168	189	25	=	=	SYM
ejpam-4168	190	1	3a−2	3a−2	NUM
ejpam-4168	190	2	=	=	SYM
ejpam-4168	190	3	b.	b.	PROPN
ejpam-4168	190	4	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	5	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	6	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	7	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	8	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	9	....................................	....................................	PUNCT
ejpam-4168	190	10	.........	.........	PUNCT
ejpam-4168	190	11	........	........	PUNCT
ejpam-4168	190	12	........	........	PUNCT
ejpam-4168	190	13	........	........	PUNCT
ejpam-4168	190	14	........	........	PUNCT
ejpam-4168	190	15	........	........	PUNCT
ejpam-4168	190	16	........	........	PUNCT
ejpam-4168	190	17	........	........	PUNCT
ejpam-4168	190	18	........	........	PUNCT
ejpam-4168	190	19	...	...	PUNCT
ejpam-4168	190	20	....................................	....................................	PUNCT
ejpam-4168	190	21	.........	.........	PUNCT
ejpam-4168	190	22	........	........	PUNCT
ejpam-4168	190	23	........	........	PUNCT
ejpam-4168	190	24	........	........	PUNCT
ejpam-4168	190	25	........	........	PUNCT
ejpam-4168	190	26	........	........	PUNCT
ejpam-4168	190	27	........	........	PUNCT
ejpam-4168	190	28	........	........	PUNCT
ejpam-4168	190	29	........	........	PUNCT
ejpam-4168	190	30	...	...	PUNCT
ejpam-4168	190	31	....................................	....................................	PUNCT
ejpam-4168	190	32	....................................	....................................	PUNCT
ejpam-4168	190	33	.........	.........	PUNCT
ejpam-4168	190	34	........	........	PUNCT
ejpam-4168	190	35	........	........	PUNCT
ejpam-4168	190	36	........	........	PUNCT
ejpam-4168	190	37	........	........	PUNCT
ejpam-4168	190	38	........	........	PUNCT
ejpam-4168	190	39	........	........	PUNCT
ejpam-4168	190	40	........	........	PUNCT
ejpam-4168	190	41	........	........	PUNCT
ejpam-4168	190	42	...	...	PUNCT
ejpam-4168	190	43	....................................	....................................	PUNCT
ejpam-4168	190	44	.........	.........	PUNCT
ejpam-4168	190	45	........	........	PUNCT
ejpam-4168	190	46	........	........	PUNCT
ejpam-4168	190	47	........	........	PUNCT
ejpam-4168	190	48	........	........	PUNCT
ejpam-4168	190	49	........	........	PUNCT
ejpam-4168	190	50	........	........	PUNCT
ejpam-4168	190	51	........	........	PUNCT
ejpam-4168	190	52	........	........	PUNCT
ejpam-4168	190	53	...	...	PUNCT
ejpam-4168	190	54	....................................	....................................	PUNCT
ejpam-4168	190	55	.........	.........	PUNCT
ejpam-4168	190	56	........	........	PUNCT
ejpam-4168	190	57	........	........	PUNCT
ejpam-4168	190	58	........	........	PUNCT
ejpam-4168	190	59	........	........	PUNCT
ejpam-4168	190	60	........	........	PUNCT
ejpam-4168	190	61	........	........	PUNCT
ejpam-4168	190	62	........	........	PUNCT
ejpam-4168	190	63	........	........	PUNCT
ejpam-4168	190	64	...	...	PUNCT
ejpam-4168	190	65	....................................	....................................	PUNCT
ejpam-4168	190	66	....................................	....................................	PUNCT
ejpam-4168	190	67	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	68	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	69	....................................	....................................	PUNCT
ejpam-4168	190	70	.........	.........	PUNCT
ejpam-4168	190	71	........	........	PUNCT
ejpam-4168	190	72	........	........	PUNCT
ejpam-4168	190	73	........	........	PUNCT
ejpam-4168	190	74	........	........	PUNCT
ejpam-4168	190	75	........	........	PUNCT
ejpam-4168	190	76	........	........	PUNCT
ejpam-4168	190	77	........	........	PUNCT
ejpam-4168	190	78	........	........	PUNCT
ejpam-4168	190	79	...	...	PUNCT
ejpam-4168	190	80	....................................	....................................	PUNCT
ejpam-4168	190	81	.........	.........	PUNCT
ejpam-4168	190	82	........	........	PUNCT
ejpam-4168	190	83	........	........	PUNCT
ejpam-4168	190	84	........	........	PUNCT
ejpam-4168	190	85	........	........	PUNCT
ejpam-4168	190	86	........	........	PUNCT
ejpam-4168	190	87	........	........	PUNCT
ejpam-4168	190	88	........	........	PUNCT
ejpam-4168	190	89	........	........	PUNCT
ejpam-4168	190	90	...	...	PUNCT
ejpam-4168	190	91	....................................	....................................	PUNCT
ejpam-4168	190	92	.........	.........	PUNCT
ejpam-4168	190	93	........	........	PUNCT
ejpam-4168	190	94	........	........	PUNCT
ejpam-4168	190	95	........	........	PUNCT
ejpam-4168	190	96	........	........	PUNCT
ejpam-4168	190	97	........	........	PUNCT
ejpam-4168	190	98	........	........	PUNCT
ejpam-4168	190	99	........	........	PUNCT
ejpam-4168	190	100	........	........	PUNCT
ejpam-4168	190	101	...	...	PUNCT
ejpam-4168	190	102	....................................	....................................	PUNCT
ejpam-4168	190	103	....................................	....................................	PUNCT
ejpam-4168	190	104	.........	.........	PUNCT
ejpam-4168	190	105	........	........	PUNCT
ejpam-4168	190	106	........	........	PUNCT
ejpam-4168	190	107	........	........	PUNCT
ejpam-4168	190	108	........	........	PUNCT
ejpam-4168	190	109	........	........	PUNCT
ejpam-4168	190	110	........	........	PUNCT
ejpam-4168	190	111	........	........	PUNCT
ejpam-4168	190	112	........	........	PUNCT
ejpam-4168	190	113	...	...	PUNCT
ejpam-4168	190	114	....................................	....................................	PUNCT
ejpam-4168	190	115	.........	.........	PUNCT
ejpam-4168	190	116	........	........	PUNCT
ejpam-4168	190	117	........	........	PUNCT
ejpam-4168	190	118	........	........	PUNCT
ejpam-4168	190	119	........	........	PUNCT
ejpam-4168	190	120	........	........	PUNCT
ejpam-4168	190	121	........	........	PUNCT
ejpam-4168	190	122	........	........	PUNCT
ejpam-4168	190	123	........	........	PUNCT
ejpam-4168	190	124	...	...	PUNCT
ejpam-4168	190	125	....................................	....................................	PUNCT
ejpam-4168	190	126	.........	.........	PUNCT
ejpam-4168	190	127	........	........	PUNCT
ejpam-4168	190	128	........	........	PUNCT
ejpam-4168	190	129	........	........	PUNCT
ejpam-4168	190	130	........	........	PUNCT
ejpam-4168	190	131	........	........	PUNCT
ejpam-4168	190	132	........	........	PUNCT
ejpam-4168	190	133	........	........	PUNCT
ejpam-4168	190	134	........	........	PUNCT
ejpam-4168	190	135	...	...	PUNCT
ejpam-4168	190	136	....................................	....................................	PUNCT
ejpam-4168	190	137	.......................................................................................................................	.......................................................................................................................	PUNCT
ejpam-4168	190	138	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	139	...................................................................................	...................................................................................	PUNCT
ejpam-4168	190	140	.......................................................................................................................	.......................................................................................................................	PUNCT
ejpam-4168	190	141	.........	.........	PUNCT
ejpam-4168	190	142	........	........	PUNCT
ejpam-4168	190	143	........	........	PUNCT
ejpam-4168	190	144	........	........	PUNCT
ejpam-4168	190	145	........	........	PUNCT
ejpam-4168	190	146	........	........	PUNCT
ejpam-4168	190	147	........	........	PUNCT
ejpam-4168	190	148	........	........	PUNCT
ejpam-4168	190	149	........	........	PUNCT
ejpam-4168	190	150	...	...	PUNCT
ejpam-4168	190	151	....................................	....................................	PUNCT
ejpam-4168	190	152	....................................	....................................	PUNCT
ejpam-4168	190	153	.........	.........	PUNCT
ejpam-4168	190	154	........	........	PUNCT
ejpam-4168	190	155	........	........	PUNCT
ejpam-4168	190	156	........	........	PUNCT
ejpam-4168	190	157	........	........	PUNCT
ejpam-4168	190	158	........	........	PUNCT
ejpam-4168	190	159	........	........	PUNCT
ejpam-4168	190	160	........	........	PUNCT
ejpam-4168	190	161	........	........	PUNCT
ejpam-4168	190	162	...	...	PUNCT
ejpam-4168	190	163	....................................	....................................	PUNCT
ejpam-4168	190	164	....................................	....................................	PUNCT
ejpam-4168	191	1	x1	x1	NUM
ejpam-4168	191	2	u1	u1	NOUN
ejpam-4168	191	3	u2	u2	PROPN
ejpam-4168	191	4	u3	u3	PROPN
ejpam-4168	191	5	u2(a−1	u2(a−1	NOUN
ejpam-4168	191	6	)	)	PUNCT
ejpam-4168	191	7	x2	x2	PROPN
ejpam-4168	191	8	xa	xa	PROPN
ejpam-4168	191	9	x2ax2a−1	x2ax2a−1	PROPN
ejpam-4168	191	10	·	·	PUNCT
ejpam-4168	191	11	·	·	PUNCT
ejpam-4168	191	12	·	·	PUNCT
ejpam-4168	191	13	·	·	PUNCT
ejpam-4168	191	14	·	·	PUNCT
ejpam-4168	191	15	·	·	PUNCT
ejpam-4168	191	16	·	·	PUNCT
ejpam-4168	191	17	·	·	PUNCT
ejpam-4168	191	18	·	·	PUNCT
ejpam-4168	191	19	·	·	PUNCT
ejpam-4168	191	20	·	·	PUNCT
ejpam-4168	191	21	·	·	PUNCT
ejpam-4168	191	22	•	•	NUM
ejpam-4168	191	23	•	•	NUM
ejpam-4168	191	24	••	••	NOUN
ejpam-4168	191	25	•	•	NUM
ejpam-4168	191	26	•	•	NOUN
ejpam-4168	191	27	•	•	NOUN
ejpam-4168	191	28	g	g	NOUN
ejpam-4168	191	29	:	:	PUNCT
ejpam-4168	191	30	figure	figure	VERB
ejpam-4168	191	31	4	4	NUM
ejpam-4168	191	32	:	:	PUNCT
ejpam-4168	191	33	a	a	DET
ejpam-4168	191	34	graph	graph	NOUN
ejpam-4168	191	35	g	g	NOUN
ejpam-4168	191	36	with	with	ADP
ejpam-4168	191	37	∂	∂	NUM
ejpam-4168	191	38	1	1	NUM
ejpam-4168	191	39	2	2	NUM
ejpam-4168	191	40	(	(	PUNCT
ejpam-4168	191	41	g	g	NOUN
ejpam-4168	191	42	)	)	PUNCT
ejpam-4168	191	43	=	=	PUNCT
ejpam-4168	192	1	a	a	PRON
ejpam-4168	192	2	<	<	X
ejpam-4168	192	3	∂c	∂c	PROPN
ejpam-4168	192	4	1	1	NUM
ejpam-4168	192	5	2	2	NUM
ejpam-4168	192	6	(	(	PUNCT
ejpam-4168	192	7	g	g	NOUN
ejpam-4168	192	8	)	)	PUNCT
ejpam-4168	192	9	=	=	SYM
ejpam-4168	193	1	3a−	3a−	NUM
ejpam-4168	193	2	2	2	NUM
ejpam-4168	193	3	=	=	SYM
ejpam-4168	193	4	b	b	NOUN
ejpam-4168	193	5	,	,	PUNCT
ejpam-4168	193	6	where	where	SCONJ
ejpam-4168	193	7	a	a	DET
ejpam-4168	193	8	≥	≥	NOUN
ejpam-4168	193	9	2	2	NUM
ejpam-4168	193	10	this	this	PRON
ejpam-4168	193	11	proves	prove	VERB
ejpam-4168	193	12	the	the	DET
ejpam-4168	193	13	assertion	assertion	NOUN
ejpam-4168	193	14	.	.	PUNCT
ejpam-4168	194	1	the	the	DET
ejpam-4168	194	2	next	next	ADJ
ejpam-4168	194	3	result	result	NOUN
ejpam-4168	194	4	immediately	immediately	ADV
ejpam-4168	194	5	follows	follow	VERB
ejpam-4168	194	6	from	from	ADP
ejpam-4168	194	7	theorem	theorem	ADJ
ejpam-4168	194	8	1	1	NUM
ejpam-4168	194	9	.	.	PUNCT
ejpam-4168	194	10	corollary	corollary	ADJ
ejpam-4168	194	11	1	1	NUM
ejpam-4168	194	12	.	.	PUNCT
ejpam-4168	195	1	given	give	VERB
ejpam-4168	195	2	a	a	DET
ejpam-4168	195	3	positive	positive	ADJ
ejpam-4168	195	4	integer	integer	NOUN
ejpam-4168	195	5	m	m	VERB
ejpam-4168	195	6	>	>	X
ejpam-4168	195	7	1	1	NUM
ejpam-4168	195	8	and	and	CCONJ
ejpam-4168	195	9	α	α	NOUN
ejpam-4168	195	10	=	=	SYM
ejpam-4168	195	11	1	1	NUM
ejpam-4168	195	12	2	2	NUM
ejpam-4168	195	13	,	,	PUNCT
ejpam-4168	195	14	there	there	PRON
ejpam-4168	195	15	exists	exist	VERB
ejpam-4168	195	16	a	a	DET
ejpam-4168	195	17	connected	connected	ADJ
ejpam-4168	195	18	graph	graph	NOUN
ejpam-4168	195	19	g	g	ADP
ejpam-4168	195	20	such	such	ADJ
ejpam-4168	195	21	that	that	DET
ejpam-4168	195	22	∂cα(g)−∂α(g	∂cα(g)−∂α(g	ADJ
ejpam-4168	195	23	)	)	PUNCT
ejpam-4168	195	24	=	=	SYM
ejpam-4168	195	25	2m−2	2m−2	NUM
ejpam-4168	195	26	,	,	PUNCT
ejpam-4168	195	27	that	that	ADV
ejpam-4168	195	28	is	is	ADV
ejpam-4168	195	29	,	,	PUNCT
ejpam-4168	195	30	the	the	DET
ejpam-4168	195	31	difference	difference	NOUN
ejpam-4168	195	32	∂cα−∂α	∂cα−∂α	NOUN
ejpam-4168	195	33	can	can	AUX
ejpam-4168	195	34	be	be	AUX
ejpam-4168	195	35	made	make	VERB
ejpam-4168	195	36	arbitrarily	arbitrarily	ADV
ejpam-4168	195	37	large	large	ADJ
ejpam-4168	195	38	.	.	PUNCT
ejpam-4168	196	1	proof	proof	NOUN
ejpam-4168	196	2	:	:	PUNCT
ejpam-4168	196	3	let	let	VERB
ejpam-4168	196	4	a	a	DET
ejpam-4168	196	5	=	=	X
ejpam-4168	196	6	m.	m.	NOUN
ejpam-4168	196	7	by	by	ADP
ejpam-4168	196	8	theorem	theorem	NOUN
ejpam-4168	196	9	1	1	NUM
ejpam-4168	196	10	,	,	PUNCT
ejpam-4168	196	11	there	there	PRON
ejpam-4168	196	12	exists	exist	VERB
ejpam-4168	196	13	a	a	DET
ejpam-4168	196	14	connected	connected	ADJ
ejpam-4168	196	15	graph	graph	NOUN
ejpam-4168	196	16	g	g	ADP
ejpam-4168	196	17	such	such	ADJ
ejpam-4168	196	18	that	that	DET
ejpam-4168	196	19	∂cα(g)−	∂cα(g)−	NUM
ejpam-4168	196	20	∂α(g	∂α(g	PROPN
ejpam-4168	196	21	)	)	PUNCT
ejpam-4168	196	22	=	=	PUNCT
ejpam-4168	196	23	(	(	PUNCT
ejpam-4168	196	24	3a−	3a−	PROPN
ejpam-4168	196	25	2)−	2)−	NUM
ejpam-4168	196	26	a	a	PRON
ejpam-4168	196	27	=	=	SYM
ejpam-4168	196	28	2m−	2m−	PROPN
ejpam-4168	196	29	2	2	NUM
ejpam-4168	196	30	.	.	PUNCT
ejpam-4168	196	31	theorem	theorem	NOUN
ejpam-4168	196	32	2	2	NUM
ejpam-4168	196	33	.	.	PUNCT
ejpam-4168	196	34	given	give	VERB
ejpam-4168	196	35	any	any	DET
ejpam-4168	196	36	positive	positive	ADJ
ejpam-4168	196	37	integer	integer	NOUN
ejpam-4168	196	38	n	n	PRON
ejpam-4168	196	39	≥	≥	NOUN
ejpam-4168	196	40	2	2	NUM
ejpam-4168	196	41	,	,	PUNCT
ejpam-4168	196	42	there	there	PRON
ejpam-4168	196	43	exists	exist	VERB
ejpam-4168	196	44	a	a	DET
ejpam-4168	196	45	connected	connected	ADJ
ejpam-4168	196	46	graph	graph	NOUN
ejpam-4168	196	47	g	g	NOUN
ejpam-4168	196	48	of	of	ADP
ejpam-4168	196	49	order	order	NOUN
ejpam-4168	196	50	5n	5n	NOUN
ejpam-4168	196	51	such	such	ADJ
ejpam-4168	196	52	that	that	DET
ejpam-4168	196	53	∂α(g	∂α(g	PROPN
ejpam-4168	196	54	)	)	PUNCT
ejpam-4168	196	55	=	=	SYM
ejpam-4168	196	56	⌈αn⌉	⌈αn⌉	NOUN
ejpam-4168	196	57	and	and	CCONJ
ejpam-4168	196	58	∂cα(g	∂cα(g	NUM
ejpam-4168	196	59	)	)	PUNCT
ejpam-4168	197	1	=	=	NOUN
ejpam-4168	197	2	3∂α(g)−	3∂α(g)−	NUM
ejpam-4168	197	3	2	2	NUM
ejpam-4168	197	4	for	for	ADP
ejpam-4168	197	5	α	α	PRON
ejpam-4168	197	6	∈	∈	PROPN
ejpam-4168	197	7	(	(	PUNCT
ejpam-4168	197	8	0	0	NUM
ejpam-4168	197	9	,	,	PUNCT
ejpam-4168	197	10	1	1	NUM
ejpam-4168	197	11	]	]	PUNCT
ejpam-4168	197	12	.	.	PUNCT
ejpam-4168	198	1	proof	proof	NOUN
ejpam-4168	198	2	:	:	PUNCT
ejpam-4168	198	3	let	let	VERB
ejpam-4168	198	4	g	g	NOUN
ejpam-4168	198	5	be	be	AUX
ejpam-4168	198	6	the	the	DET
ejpam-4168	198	7	graph	graph	NOUN
ejpam-4168	198	8	shown	show	VERB
ejpam-4168	198	9	in	in	ADP
ejpam-4168	198	10	figure	figure	NOUN
ejpam-4168	198	11	5	5	NUM
ejpam-4168	198	12	.	.	PUNCT
ejpam-4168	199	1	then	then	ADV
ejpam-4168	199	2	,	,	PUNCT
ejpam-4168	199	3	the	the	DET
ejpam-4168	199	4	set	set	NOUN
ejpam-4168	199	5	a	a	X
ejpam-4168	199	6	=	=	SYM
ejpam-4168	199	7	{	{	PUNCT
ejpam-4168	199	8	xj	xj	PROPN
ejpam-4168	199	9	:	:	PUNCT
ejpam-4168	199	10	j	j	PROPN
ejpam-4168	199	11	=	=	SYM
ejpam-4168	199	12	1	1	NUM
ejpam-4168	199	13	,	,	PUNCT
ejpam-4168	199	14	2	2	NUM
ejpam-4168	199	15	,	,	PUNCT
ejpam-4168	199	16	...	...	PUNCT
ejpam-4168	199	17	,	,	PUNCT
ejpam-4168	199	18	⌈αn⌉	⌈αn⌉	NOUN
ejpam-4168	199	19	}	}	PUNCT
ejpam-4168	199	20	is	be	AUX
ejpam-4168	199	21	a	a	DET
ejpam-4168	199	22	∂α	∂α	PROPN
ejpam-4168	199	23	-	-	PUNCT
ejpam-4168	199	24	set	set	NOUN
ejpam-4168	199	25	in	in	ADP
ejpam-4168	199	26	g	g	PROPN
ejpam-4168	199	27	and	and	CCONJ
ejpam-4168	199	28	b	b	X
ejpam-4168	199	29	=	=	NOUN
ejpam-4168	199	30	a	a	DET
ejpam-4168	199	31	∪	∪	X
ejpam-4168	199	32	{	{	PUNCT
ejpam-4168	199	33	uk	uk	PROPN
ejpam-4168	199	34	:	:	PUNCT
ejpam-4168	199	35	k	k	X
ejpam-4168	199	36	=	=	SYM
ejpam-4168	199	37	1	1	NUM
ejpam-4168	199	38	,	,	PUNCT
ejpam-4168	199	39	2	2	NUM
ejpam-4168	199	40	,	,	PUNCT
ejpam-4168	199	41	...	...	PUNCT
ejpam-4168	199	42	,	,	PUNCT
ejpam-4168	199	43	2(⌈αn⌉	2(⌈αn⌉	NUM
ejpam-4168	199	44	−	−	NOUN
ejpam-4168	199	45	1	1	NUM
ejpam-4168	199	46	)	)	PUNCT
ejpam-4168	199	47	}	}	PUNCT
ejpam-4168	199	48	is	be	AUX
ejpam-4168	199	49	a	a	DET
ejpam-4168	199	50	∂cα	∂cα	NOUN
ejpam-4168	199	51	-	-	PUNCT
ejpam-4168	199	52	set	set	NOUN
ejpam-4168	199	53	in	in	ADP
ejpam-4168	199	54	g.	g.	PROPN
ejpam-4168	199	55	hence	hence	ADV
ejpam-4168	199	56	,	,	PUNCT
ejpam-4168	199	57	∂α(g	∂α(g	PROPN
ejpam-4168	199	58	)	)	PUNCT
ejpam-4168	199	59	=	=	SYM
ejpam-4168	199	60	⌈αn⌉	⌈αn⌉	NOUN
ejpam-4168	199	61	and	and	CCONJ
ejpam-4168	199	62	∂cα(g	∂cα(g	NUM
ejpam-4168	199	63	)	)	PUNCT
ejpam-4168	200	1	=	=	X
ejpam-4168	200	2	⌈αn⌉+	⌈αn⌉+	NOUN
ejpam-4168	200	3	2(⌈αn⌉	2(⌈αn⌉	NUM
ejpam-4168	200	4	−	−	NUM
ejpam-4168	200	5	1	1	NUM
ejpam-4168	200	6	)	)	PUNCT
ejpam-4168	200	7	=	=	SYM
ejpam-4168	200	8	∂α(g	∂α(g	PROPN
ejpam-4168	200	9	)	)	PUNCT
ejpam-4168	201	1	+	+	CCONJ
ejpam-4168	201	2	2(∂α(g)−	2(∂α(g)−	NUM
ejpam-4168	201	3	1	1	NUM
ejpam-4168	201	4	)	)	PUNCT
ejpam-4168	201	5	=	=	NOUN
ejpam-4168	202	1	3∂α(g)−	3∂α(g)−	NUM
ejpam-4168	202	2	2	2	NUM
ejpam-4168	202	3	.	.	PUNCT
ejpam-4168	202	4	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	202	5	...................................................................................	...................................................................................	PUNCT
ejpam-4168	202	6	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	202	7	...................................................................................	...................................................................................	PUNCT
ejpam-4168	202	8	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	202	9	...........	...........	PUNCT
ejpam-4168	202	10	..........	..........	PUNCT
ejpam-4168	203	1	..........	..........	PUNCT
ejpam-4168	203	2	..........	..........	PUNCT
ejpam-4168	204	1	..........	..........	PUNCT
ejpam-4168	204	2	..........	..........	PUNCT
ejpam-4168	205	1	..........	..........	PUNCT
ejpam-4168	205	2	..........	..........	PUNCT
ejpam-4168	206	1	..........	..........	PUNCT
ejpam-4168	206	2	..	..	PUNCT
ejpam-4168	206	3	..	..	PUNCT
ejpam-4168	206	4	..................................	..................................	PUNCT
ejpam-4168	206	5	...........	...........	PUNCT
ejpam-4168	207	1	..........	..........	PUNCT
ejpam-4168	207	2	..........	..........	PUNCT
ejpam-4168	208	1	..........	..........	PUNCT
ejpam-4168	208	2	..........	..........	PUNCT
ejpam-4168	209	1	..........	..........	PUNCT
ejpam-4168	209	2	..........	..........	PUNCT
ejpam-4168	210	1	..........	..........	PUNCT
ejpam-4168	210	2	..........	..........	PUNCT
ejpam-4168	211	1	..	..	PUNCT
ejpam-4168	211	2	..	..	PUNCT
ejpam-4168	211	3	..................................	..................................	PUNCT
ejpam-4168	211	4	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	211	5	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	212	1	....................................	....................................	PUNCT
ejpam-4168	212	2	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	213	1	....................................	....................................	PUNCT
ejpam-4168	213	2	.........	.........	PUNCT
ejpam-4168	213	3	........	........	PUNCT
ejpam-4168	213	4	........	........	PUNCT
ejpam-4168	213	5	........	........	PUNCT
ejpam-4168	213	6	........	........	PUNCT
ejpam-4168	213	7	........	........	PUNCT
ejpam-4168	213	8	........	........	PUNCT
ejpam-4168	213	9	........	........	PUNCT
ejpam-4168	213	10	........	........	PUNCT
ejpam-4168	213	11	........	........	PUNCT
ejpam-4168	213	12	........	........	PUNCT
ejpam-4168	213	13	........	........	PUNCT
ejpam-4168	213	14	........	........	PUNCT
ejpam-4168	213	15	........	........	PUNCT
ejpam-4168	213	16	........	........	PUNCT
ejpam-4168	213	17	........	........	PUNCT
ejpam-4168	213	18	........	........	PUNCT
ejpam-4168	213	19	........	........	PUNCT
ejpam-4168	213	20	........	........	PUNCT
ejpam-4168	213	21	........	........	PUNCT
ejpam-4168	213	22	.	.	PUNCT
ejpam-4168	214	1	..	..	PUNCT
ejpam-4168	214	2	..................................	..................................	PUNCT
ejpam-4168	215	1	....................................	....................................	PUNCT
ejpam-4168	215	2	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	216	1	....................................	....................................	PUNCT
ejpam-4168	216	2	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	217	1	....................................	....................................	PUNCT
ejpam-4168	217	2	........................................................................................................	........................................................................................................	PUNCT
ejpam-4168	218	1	....................................	....................................	PUNCT
ejpam-4168	218	2	.........	.........	PUNCT
ejpam-4168	219	1	........	........	PUNCT
ejpam-4168	219	2	........	........	PUNCT
ejpam-4168	219	3	........	........	PUNCT
ejpam-4168	219	4	........	........	PUNCT
ejpam-4168	219	5	........	........	PUNCT
ejpam-4168	219	6	........	........	PUNCT
ejpam-4168	219	7	........	........	PUNCT
ejpam-4168	219	8	........	........	PUNCT
ejpam-4168	219	9	........	........	PUNCT
ejpam-4168	219	10	........	........	PUNCT
ejpam-4168	219	11	........	........	PUNCT
ejpam-4168	219	12	........	........	PUNCT
ejpam-4168	219	13	........	........	PUNCT
ejpam-4168	219	14	........	........	PUNCT
ejpam-4168	219	15	........	........	PUNCT
ejpam-4168	219	16	........	........	PUNCT
ejpam-4168	219	17	........	........	PUNCT
ejpam-4168	219	18	........	........	PUNCT
ejpam-4168	219	19	........	........	PUNCT
ejpam-4168	219	20	.	.	PUNCT
ejpam-4168	220	1	....................................	....................................	PUNCT
ejpam-4168	220	2	....................................	....................................	PUNCT
ejpam-4168	221	1	...........	...........	PUNCT
ejpam-4168	221	2	..........	..........	PUNCT
ejpam-4168	222	1	..........	..........	PUNCT
ejpam-4168	222	2	..........	..........	PUNCT
ejpam-4168	223	1	..........	..........	PUNCT
ejpam-4168	223	2	..........	..........	PUNCT
ejpam-4168	224	1	..........	..........	PUNCT
ejpam-4168	224	2	..........	..........	PUNCT
ejpam-4168	225	1	..........	..........	PUNCT
ejpam-4168	225	2	..	..	PUNCT
ejpam-4168	225	3	....................................	....................................	PUNCT
ejpam-4168	225	4	...........	...........	PUNCT
ejpam-4168	226	1	..........	..........	PUNCT
ejpam-4168	226	2	..........	..........	PUNCT
ejpam-4168	227	1	..........	..........	PUNCT
ejpam-4168	227	2	..........	..........	PUNCT
ejpam-4168	228	1	..........	..........	PUNCT
ejpam-4168	228	2	..........	..........	PUNCT
ejpam-4168	229	1	..........	..........	PUNCT
ejpam-4168	229	2	..........	..........	PUNCT
ejpam-4168	230	1	..	..	PUNCT
ejpam-4168	230	2	....................................	....................................	PUNCT
ejpam-4168	230	3	.........	.........	PUNCT
ejpam-4168	230	4	........	........	PUNCT
ejpam-4168	230	5	........	........	PUNCT
ejpam-4168	230	6	........	........	PUNCT
ejpam-4168	230	7	........	........	PUNCT
ejpam-4168	230	8	........	........	PUNCT
ejpam-4168	230	9	........	........	PUNCT
ejpam-4168	230	10	........	........	PUNCT
ejpam-4168	230	11	........	........	PUNCT
ejpam-4168	230	12	........	........	PUNCT
ejpam-4168	230	13	........	........	PUNCT
ejpam-4168	230	14	........	........	PUNCT
ejpam-4168	230	15	........	........	PUNCT
ejpam-4168	230	16	........	........	PUNCT
ejpam-4168	230	17	........	........	PUNCT
ejpam-4168	230	18	........	........	PUNCT
ejpam-4168	230	19	........	........	PUNCT
ejpam-4168	230	20	........	........	PUNCT
ejpam-4168	230	21	........	........	PUNCT
ejpam-4168	230	22	........	........	PUNCT
ejpam-4168	230	23	.	.	PUNCT
ejpam-4168	231	1	..	..	PUNCT
ejpam-4168	231	2	..................................	..................................	PUNCT
ejpam-4168	231	3	...................................................................................	...................................................................................	PUNCT
ejpam-4168	231	4	.........	.........	PUNCT
ejpam-4168	231	5	........	........	PUNCT
ejpam-4168	231	6	........	........	PUNCT
ejpam-4168	231	7	........	........	PUNCT
ejpam-4168	231	8	........	........	PUNCT
ejpam-4168	231	9	........	........	PUNCT
ejpam-4168	231	10	........	........	PUNCT
ejpam-4168	231	11	........	........	PUNCT
ejpam-4168	231	12	........	........	PUNCT
ejpam-4168	231	13	........	........	PUNCT
ejpam-4168	231	14	........	........	PUNCT
ejpam-4168	231	15	........	........	PUNCT
ejpam-4168	231	16	........	........	PUNCT
ejpam-4168	231	17	........	........	PUNCT
ejpam-4168	231	18	........	........	PUNCT
ejpam-4168	231	19	........	........	PUNCT
ejpam-4168	231	20	........	........	PUNCT
ejpam-4168	231	21	........	........	PUNCT
ejpam-4168	231	22	........	........	PUNCT
ejpam-4168	231	23	........	........	PUNCT
ejpam-4168	231	24	.	.	PUNCT
ejpam-4168	232	1	....................................	....................................	PUNCT
ejpam-4168	232	2	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	233	1	....................................	....................................	PUNCT
ejpam-4168	233	2	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	234	1	....................................	....................................	PUNCT
ejpam-4168	234	2	........................................................................................................	........................................................................................................	PUNCT
ejpam-4168	235	1	....................................	....................................	PUNCT
ejpam-4168	235	2	...........	...........	PUNCT
ejpam-4168	236	1	..........	..........	PUNCT
ejpam-4168	236	2	..........	..........	PUNCT
ejpam-4168	237	1	..........	..........	PUNCT
ejpam-4168	237	2	..........	..........	PUNCT
ejpam-4168	238	1	..........	..........	PUNCT
ejpam-4168	238	2	..........	..........	PUNCT
ejpam-4168	239	1	..........	..........	PUNCT
ejpam-4168	239	2	..........	..........	PUNCT
ejpam-4168	240	1	..	..	PUNCT
ejpam-4168	240	2	....................................	....................................	PUNCT
ejpam-4168	240	3	...........	...........	PUNCT
ejpam-4168	241	1	..........	..........	PUNCT
ejpam-4168	241	2	..........	..........	PUNCT
ejpam-4168	242	1	..........	..........	PUNCT
ejpam-4168	242	2	..........	..........	PUNCT
ejpam-4168	243	1	..........	..........	PUNCT
ejpam-4168	243	2	..........	..........	PUNCT
ejpam-4168	244	1	..........	..........	PUNCT
ejpam-4168	244	2	..........	..........	PUNCT
ejpam-4168	245	1	..	..	PUNCT
ejpam-4168	245	2	....................................	....................................	PUNCT
ejpam-4168	245	3	.........	.........	PUNCT
ejpam-4168	245	4	........	........	PUNCT
ejpam-4168	245	5	........	........	PUNCT
ejpam-4168	245	6	........	........	PUNCT
ejpam-4168	245	7	........	........	PUNCT
ejpam-4168	245	8	........	........	PUNCT
ejpam-4168	245	9	........	........	PUNCT
ejpam-4168	245	10	........	........	PUNCT
ejpam-4168	245	11	........	........	PUNCT
ejpam-4168	245	12	........	........	PUNCT
ejpam-4168	245	13	........	........	PUNCT
ejpam-4168	245	14	........	........	PUNCT
ejpam-4168	245	15	........	........	PUNCT
ejpam-4168	245	16	........	........	PUNCT
ejpam-4168	245	17	........	........	PUNCT
ejpam-4168	245	18	........	........	PUNCT
ejpam-4168	245	19	........	........	PUNCT
ejpam-4168	245	20	........	........	PUNCT
ejpam-4168	245	21	........	........	PUNCT
ejpam-4168	245	22	........	........	PUNCT
ejpam-4168	245	23	.	.	PUNCT
ejpam-4168	246	1	..	..	PUNCT
ejpam-4168	246	2	..................................	..................................	PUNCT
ejpam-4168	246	3	...................................................................................	...................................................................................	PUNCT
ejpam-4168	247	1	....................................	....................................	PUNCT
ejpam-4168	247	2	...................................................................................	...................................................................................	PUNCT
ejpam-4168	248	1	....................................	....................................	PUNCT
ejpam-4168	248	2	.........	.........	PUNCT
ejpam-4168	248	3	........	........	PUNCT
ejpam-4168	248	4	........	........	PUNCT
ejpam-4168	248	5	........	........	PUNCT
ejpam-4168	248	6	........	........	PUNCT
ejpam-4168	248	7	........	........	PUNCT
ejpam-4168	248	8	........	........	PUNCT
ejpam-4168	248	9	........	........	PUNCT
ejpam-4168	248	10	........	........	PUNCT
ejpam-4168	248	11	........	........	PUNCT
ejpam-4168	248	12	........	........	PUNCT
ejpam-4168	248	13	........	........	PUNCT
ejpam-4168	248	14	........	........	PUNCT
ejpam-4168	248	15	........	........	PUNCT
ejpam-4168	248	16	........	........	PUNCT
ejpam-4168	248	17	........	........	PUNCT
ejpam-4168	248	18	........	........	PUNCT
ejpam-4168	248	19	........	........	PUNCT
ejpam-4168	248	20	........	........	PUNCT
ejpam-4168	248	21	........	........	PUNCT
ejpam-4168	248	22	.	.	PUNCT
ejpam-4168	249	1	..	..	PUNCT
ejpam-4168	249	2	..................................	..................................	PUNCT
ejpam-4168	249	3	...................................................................................	...................................................................................	PUNCT
ejpam-4168	250	1	....................................	....................................	PUNCT
ejpam-4168	250	2	.........	.........	PUNCT
ejpam-4168	250	3	........	........	PUNCT
ejpam-4168	250	4	........	........	PUNCT
ejpam-4168	250	5	........	........	PUNCT
ejpam-4168	250	6	........	........	PUNCT
ejpam-4168	250	7	........	........	PUNCT
ejpam-4168	250	8	........	........	PUNCT
ejpam-4168	250	9	........	........	PUNCT
ejpam-4168	250	10	........	........	PUNCT
ejpam-4168	250	11	........	........	PUNCT
ejpam-4168	250	12	........	........	PUNCT
ejpam-4168	250	13	........	........	PUNCT
ejpam-4168	250	14	........	........	PUNCT
ejpam-4168	250	15	........	........	PUNCT
ejpam-4168	250	16	........	........	PUNCT
ejpam-4168	250	17	........	........	PUNCT
ejpam-4168	250	18	........	........	PUNCT
ejpam-4168	250	19	........	........	PUNCT
ejpam-4168	250	20	........	........	PUNCT
ejpam-4168	250	21	........	........	PUNCT
ejpam-4168	250	22	.	.	PUNCT
ejpam-4168	251	1	..	..	PUNCT
ejpam-4168	251	2	..................................	..................................	PUNCT
ejpam-4168	252	1	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	252	2	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	253	1	....................................	....................................	PUNCT
ejpam-4168	253	2	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	253	3	....................................	....................................	PUNCT
ejpam-4168	253	4	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	253	5	.........	.........	PUNCT
ejpam-4168	253	6	........	........	PUNCT
ejpam-4168	253	7	........	........	PUNCT
ejpam-4168	253	8	........	........	PUNCT
ejpam-4168	253	9	........	........	PUNCT
ejpam-4168	253	10	........	........	PUNCT
ejpam-4168	253	11	........	........	PUNCT
ejpam-4168	253	12	........	........	PUNCT
ejpam-4168	253	13	........	........	PUNCT
ejpam-4168	253	14	........	........	PUNCT
ejpam-4168	253	15	........	........	PUNCT
ejpam-4168	253	16	........	........	PUNCT
ejpam-4168	253	17	........	........	PUNCT
ejpam-4168	253	18	........	........	PUNCT
ejpam-4168	253	19	........	........	PUNCT
ejpam-4168	253	20	........	........	PUNCT
ejpam-4168	253	21	........	........	PUNCT
ejpam-4168	253	22	........	........	PUNCT
ejpam-4168	253	23	........	........	PUNCT
ejpam-4168	253	24	........	........	PUNCT
ejpam-4168	253	25	.	.	PUNCT
ejpam-4168	254	1	..	..	PUNCT
ejpam-4168	254	2	..................................	..................................	PUNCT
ejpam-4168	255	1	....................................	....................................	PUNCT
ejpam-4168	255	2	...........	...........	PUNCT
ejpam-4168	256	1	..........	..........	PUNCT
ejpam-4168	256	2	..........	..........	PUNCT
ejpam-4168	257	1	..........	..........	PUNCT
ejpam-4168	257	2	..........	..........	PUNCT
ejpam-4168	258	1	..........	..........	PUNCT
ejpam-4168	258	2	..........	..........	PUNCT
ejpam-4168	259	1	..........	..........	PUNCT
ejpam-4168	259	2	..........	..........	PUNCT
ejpam-4168	260	1	..	..	PUNCT
ejpam-4168	260	2	....................................	....................................	PUNCT
ejpam-4168	260	3	...........	...........	PUNCT
ejpam-4168	261	1	..........	..........	PUNCT
ejpam-4168	261	2	..........	..........	PUNCT
ejpam-4168	262	1	..........	..........	PUNCT
ejpam-4168	262	2	..........	..........	PUNCT
ejpam-4168	263	1	..........	..........	PUNCT
ejpam-4168	263	2	..........	..........	PUNCT
ejpam-4168	264	1	..........	..........	PUNCT
ejpam-4168	264	2	..........	..........	PUNCT
ejpam-4168	265	1	..	..	PUNCT
ejpam-4168	265	2	....................................	....................................	PUNCT
ejpam-4168	265	3	...................................................................................	...................................................................................	PUNCT
ejpam-4168	265	4	.........	.........	PUNCT
ejpam-4168	265	5	........	........	PUNCT
ejpam-4168	265	6	........	........	PUNCT
ejpam-4168	265	7	........	........	PUNCT
ejpam-4168	265	8	........	........	PUNCT
ejpam-4168	265	9	........	........	PUNCT
ejpam-4168	265	10	........	........	PUNCT
ejpam-4168	265	11	........	........	PUNCT
ejpam-4168	265	12	........	........	PUNCT
ejpam-4168	265	13	........	........	PUNCT
ejpam-4168	265	14	........	........	PUNCT
ejpam-4168	265	15	........	........	PUNCT
ejpam-4168	265	16	........	........	PUNCT
ejpam-4168	265	17	........	........	PUNCT
ejpam-4168	265	18	........	........	PUNCT
ejpam-4168	265	19	........	........	PUNCT
ejpam-4168	265	20	........	........	PUNCT
ejpam-4168	265	21	........	........	PUNCT
ejpam-4168	265	22	........	........	PUNCT
ejpam-4168	265	23	........	........	PUNCT
ejpam-4168	265	24	.	.	PUNCT
ejpam-4168	266	1	..	..	PUNCT
ejpam-4168	266	2	..................................	..................................	PUNCT
ejpam-4168	266	3	...............................................	...............................................	PUNCT
ejpam-4168	267	1	........................................................................	........................................................................	PUNCT
ejpam-4168	267	2	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	267	3	.........	.........	PUNCT
ejpam-4168	267	4	........	........	PUNCT
ejpam-4168	267	5	........	........	PUNCT
ejpam-4168	267	6	........	........	PUNCT
ejpam-4168	267	7	........	........	PUNCT
ejpam-4168	267	8	........	........	PUNCT
ejpam-4168	267	9	........	........	PUNCT
ejpam-4168	267	10	........	........	PUNCT
ejpam-4168	267	11	........	........	PUNCT
ejpam-4168	267	12	........	........	PUNCT
ejpam-4168	267	13	........	........	PUNCT
ejpam-4168	267	14	........	........	PUNCT
ejpam-4168	267	15	........	........	PUNCT
ejpam-4168	267	16	........	........	PUNCT
ejpam-4168	267	17	........	........	PUNCT
ejpam-4168	267	18	........	........	PUNCT
ejpam-4168	267	19	........	........	PUNCT
ejpam-4168	267	20	........	........	PUNCT
ejpam-4168	267	21	........	........	PUNCT
ejpam-4168	267	22	........	........	PUNCT
ejpam-4168	267	23	.	.	PUNCT
ejpam-4168	268	1	....................................	....................................	PUNCT
ejpam-4168	268	2	........................................................................................................	........................................................................................................	PUNCT
ejpam-4168	269	1	.................................................................................................................................	.................................................................................................................................	PUNCT
ejpam-4168	269	2	....................................	....................................	PUNCT
ejpam-4168	270	1	.............................................................................................	.............................................................................................	PUNCT
ejpam-4168	270	2	....................................	....................................	PUNCT
ejpam-4168	271	1	....................................	....................................	PUNCT
ejpam-4168	271	2	...........	...........	PUNCT
ejpam-4168	272	1	..........	..........	PUNCT
ejpam-4168	272	2	..........	..........	PUNCT
ejpam-4168	273	1	..........	..........	PUNCT
ejpam-4168	273	2	..........	..........	PUNCT
ejpam-4168	274	1	..........	..........	PUNCT
ejpam-4168	274	2	..........	..........	PUNCT
ejpam-4168	275	1	..........	..........	PUNCT
ejpam-4168	275	2	..........	..........	PUNCT
ejpam-4168	276	1	..	..	PUNCT
ejpam-4168	276	2	....................................	....................................	PUNCT
ejpam-4168	276	3	...........	...........	PUNCT
ejpam-4168	277	1	..........	..........	PUNCT
ejpam-4168	277	2	..........	..........	PUNCT
ejpam-4168	278	1	..........	..........	PUNCT
ejpam-4168	278	2	..........	..........	PUNCT
ejpam-4168	279	1	..........	..........	PUNCT
ejpam-4168	279	2	..........	..........	PUNCT
ejpam-4168	280	1	..........	..........	PUNCT
ejpam-4168	280	2	..........	..........	PUNCT
ejpam-4168	281	1	..	..	PUNCT
ejpam-4168	281	2	....................................	....................................	PUNCT
ejpam-4168	282	1	....................................	....................................	PUNCT
ejpam-4168	283	1	x1	x1	NUM
ejpam-4168	283	2	u1	u1	NOUN
ejpam-4168	283	3	u2	u2	PROPN
ejpam-4168	283	4	u3	u3	PROPN
ejpam-4168	283	5	u4	u4	PROPN
ejpam-4168	283	6	u5	u5	PROPN
ejpam-4168	283	7	u6	u6	PROPN
ejpam-4168	283	8	u(2(n−1))−1	u(2(n−1))−1	NOUN
ejpam-4168	283	9	u2(n−1	u2(n−1	ADJ
ejpam-4168	283	10	)	)	PUNCT
ejpam-4168	284	1	x2	x2	NOUN
ejpam-4168	284	2	x3	x3	VERB
ejpam-4168	284	3	xnxn−1	xnxn−1	PROPN
ejpam-4168	284	4	·	·	PUNCT
ejpam-4168	284	5	·	·	PUNCT
ejpam-4168	284	6	·	·	PUNCT
ejpam-4168	284	7	·	·	PUNCT
ejpam-4168	284	8	·	·	PUNCT
ejpam-4168	284	9	·	·	PUNCT
ejpam-4168	284	10	·	·	PUNCT
ejpam-4168	284	11	·	·	PUNCT
ejpam-4168	284	12	·	·	PUNCT
ejpam-4168	284	13	·	·	PUNCT
ejpam-4168	284	14	·	·	PUNCT
ejpam-4168	284	15	·	·	PUNCT
ejpam-4168	285	1	•	•	NUM
ejpam-4168	285	2	•	•	NUM
ejpam-4168	285	3	•	•	NUM
ejpam-4168	285	4	•	•	NUM
ejpam-4168	285	5	•	•	NUM
ejpam-4168	285	6	•	•	NUM
ejpam-4168	285	7	•	•	NUM
ejpam-4168	285	8	•	•	NUM
ejpam-4168	285	9	•	•	NUM
ejpam-4168	285	10	•	•	NUM
ejpam-4168	285	11	•	•	NUM
ejpam-4168	285	12	•	•	NOUN
ejpam-4168	285	13	•	•	NOUN
ejpam-4168	285	14	•g	•g	NOUN
ejpam-4168	285	15	:	:	PUNCT
ejpam-4168	285	16	figure	figure	VERB
ejpam-4168	285	17	5	5	NUM
ejpam-4168	285	18	:	:	PUNCT
ejpam-4168	285	19	a	a	DET
ejpam-4168	285	20	graph	graph	NOUN
ejpam-4168	285	21	g	g	NOUN
ejpam-4168	285	22	with	with	ADP
ejpam-4168	285	23	∂α(g	∂α(g	PROPN
ejpam-4168	285	24	)	)	PUNCT
ejpam-4168	285	25	=	=	PUNCT
ejpam-4168	285	26	a	a	DET
ejpam-4168	285	27	<	<	X
ejpam-4168	285	28	∂cα	∂cα	PROPN
ejpam-4168	285	29	=	=	SYM
ejpam-4168	285	30	3a−	3a−	PROPN
ejpam-4168	285	31	2	2	NUM
ejpam-4168	285	32	this	this	PRON
ejpam-4168	285	33	proves	prove	VERB
ejpam-4168	285	34	the	the	DET
ejpam-4168	285	35	assertion	assertion	NOUN
ejpam-4168	285	36	.	.	PUNCT
ejpam-4168	286	1	the	the	DET
ejpam-4168	286	2	following	follow	VERB
ejpam-4168	286	3	concept	concept	NOUN
ejpam-4168	286	4	is	be	AUX
ejpam-4168	286	5	introduced	introduce	VERB
ejpam-4168	286	6	in	in	ADP
ejpam-4168	286	7	r.	r.	PROPN
ejpam-4168	286	8	macapodi	macapodi	PROPN
ejpam-4168	286	9	et	et	PROPN
ejpam-4168	286	10	al	al	PROPN
ejpam-4168	286	11	.	.	PUNCT
ejpam-4168	287	1	[	[	X
ejpam-4168	287	2	7	7	X
ejpam-4168	287	3	]	]	PUNCT
ejpam-4168	287	4	and	and	CCONJ
ejpam-4168	287	5	is	be	AUX
ejpam-4168	287	6	used	use	VERB
ejpam-4168	287	7	to	to	PART
ejpam-4168	287	8	characterize	characterize	VERB
ejpam-4168	287	9	partial	partial	ADJ
ejpam-4168	287	10	dominating	dominating	NOUN
ejpam-4168	287	11	sets	set	NOUN
ejpam-4168	287	12	in	in	ADP
ejpam-4168	287	13	the	the	DET
ejpam-4168	287	14	join	join	NOUN
ejpam-4168	287	15	of	of	ADP
ejpam-4168	287	16	graphs	graph	NOUN
ejpam-4168	287	17	.	.	PUNCT
ejpam-4168	288	1	j.m	j.m	PROPN
ejpam-4168	288	2	.	.	PROPN
ejpam-4168	288	3	cabulao	cabulao	PROPN
ejpam-4168	288	4	,	,	PUNCT
ejpam-4168	288	5	r.	r.	PROPN
ejpam-4168	288	6	isla	isla	PROPN
ejpam-4168	288	7	/	/	SYM
ejpam-4168	288	8	eur	eur	PROPN
ejpam-4168	288	9	.	.	PUNCT
ejpam-4168	289	1	j.	j.	PROPN
ejpam-4168	289	2	pure	pure	PROPN
ejpam-4168	289	3	appl	appl	PROPN
ejpam-4168	289	4	.	.	PROPN
ejpam-4168	289	5	math	math	PROPN
ejpam-4168	289	6	,	,	PUNCT
ejpam-4168	289	7	14	14	NUM
ejpam-4168	289	8	(	(	PUNCT
ejpam-4168	289	9	4	4	NUM
ejpam-4168	289	10	)	)	PUNCT
ejpam-4168	289	11	(	(	PUNCT
ejpam-4168	289	12	2021	2021	NUM
ejpam-4168	289	13	)	)	PUNCT
ejpam-4168	289	14	,	,	PUNCT
ejpam-4168	289	15	1490	1490	NUM
ejpam-4168	289	16	-	-	SYM
ejpam-4168	289	17	1506	1506	NUM
ejpam-4168	289	18	1496	1496	NUM
ejpam-4168	289	19	definition	definition	NOUN
ejpam-4168	289	20	1	1	NUM
ejpam-4168	289	21	.	.	PUNCT
ejpam-4168	290	1	[	[	X
ejpam-4168	290	2	7	7	X
ejpam-4168	290	3	]	]	PUNCT
ejpam-4168	290	4	let	let	VERB
ejpam-4168	290	5	g	g	PRON
ejpam-4168	290	6	be	be	AUX
ejpam-4168	290	7	a	a	DET
ejpam-4168	290	8	simple	simple	ADJ
ejpam-4168	290	9	graph	graph	NOUN
ejpam-4168	290	10	.	.	PUNCT
ejpam-4168	291	1	let	let	VERB
ejpam-4168	291	2	α	α	PRON
ejpam-4168	291	3	∈	∈	PROPN
ejpam-4168	291	4	(	(	PUNCT
ejpam-4168	291	5	0	0	NUM
ejpam-4168	291	6	,	,	PUNCT
ejpam-4168	291	7	1	1	NUM
ejpam-4168	291	8	]	]	PUNCT
ejpam-4168	291	9	and	and	CCONJ
ejpam-4168	291	10	k	k	PROPN
ejpam-4168	291	11	∈	∈	PROPN
ejpam-4168	291	12	(	(	PUNCT
ejpam-4168	291	13	−∞	−∞	NOUN
ejpam-4168	291	14	,	,	PUNCT
ejpam-4168	291	15	0	0	NUM
ejpam-4168	291	16	]	]	PUNCT
ejpam-4168	291	17	.	.	PUNCT
ejpam-4168	292	1	a	a	DET
ejpam-4168	292	2	nonempty	nonempty	ADV
ejpam-4168	292	3	set	set	VERB
ejpam-4168	292	4	s	s	PROPN
ejpam-4168	292	5	⊆	⊆	NUM
ejpam-4168	292	6	v	v	NOUN
ejpam-4168	292	7	(	(	PUNCT
ejpam-4168	292	8	g	g	NOUN
ejpam-4168	292	9	)	)	PUNCT
ejpam-4168	292	10	is	be	AUX
ejpam-4168	292	11	an	an	DET
ejpam-4168	292	12	(	(	PUNCT
ejpam-4168	292	13	α	α	NOUN
ejpam-4168	292	14	,	,	PUNCT
ejpam-4168	292	15	k)-partial	k)-partial	ADJ
ejpam-4168	292	16	dominating	dominating	NOUN
ejpam-4168	292	17	set	set	VERB
ejpam-4168	292	18	in	in	ADP
ejpam-4168	292	19	g	g	PROPN
ejpam-4168	292	20	if	if	SCONJ
ejpam-4168	292	21	|n	|n	PRON
ejpam-4168	292	22	[	[	X
ejpam-4168	292	23	s]|	s]|	PROPN
ejpam-4168	292	24	≥	≥	NUM
ejpam-4168	292	25	α	α	PROPN
ejpam-4168	292	26	|v	|v	PROPN
ejpam-4168	292	27	(	(	PUNCT
ejpam-4168	292	28	g)|+	g)|+	PROPN
ejpam-4168	292	29	k.	k.	PROPN
ejpam-4168	292	30	the	the	DET
ejpam-4168	292	31	(	(	PUNCT
ejpam-4168	292	32	α	α	PROPN
ejpam-4168	292	33	,	,	PUNCT
ejpam-4168	292	34	k)-partial	k)-partial	ADJ
ejpam-4168	292	35	domination	domination	NOUN
ejpam-4168	292	36	number	number	NOUN
ejpam-4168	292	37	of	of	ADP
ejpam-4168	292	38	g	g	NOUN
ejpam-4168	292	39	,	,	PUNCT
ejpam-4168	292	40	denoted	denote	VERB
ejpam-4168	292	41	by	by	ADP
ejpam-4168	292	42	∂α	∂α	PROPN
ejpam-4168	292	43	,	,	PUNCT
ejpam-4168	292	44	k(g	k(g	PROPN
ejpam-4168	292	45	)	)	PUNCT
ejpam-4168	292	46	,	,	PUNCT
ejpam-4168	292	47	is	be	AUX
ejpam-4168	292	48	given	give	VERB
ejpam-4168	292	49	by	by	ADP
ejpam-4168	292	50	∂α	∂α	PROPN
ejpam-4168	292	51	,	,	PUNCT
ejpam-4168	292	52	k(g	k(g	PROPN
ejpam-4168	292	53	)	)	PUNCT
ejpam-4168	292	54	=	=	SYM
ejpam-4168	292	55	min	min	NOUN
ejpam-4168	292	56	{	{	PUNCT
ejpam-4168	292	57	|s|	|s|	NOUN
ejpam-4168	292	58	:	:	PUNCT
ejpam-4168	292	59	s	s	VERB
ejpam-4168	292	60	is	be	AUX
ejpam-4168	292	61	an	an	DET
ejpam-4168	292	62	(	(	PUNCT
ejpam-4168	292	63	α	α	NOUN
ejpam-4168	292	64	,	,	PUNCT
ejpam-4168	292	65	k)-partial	k)-partial	ADJ
ejpam-4168	292	66	dominating	dominating	NOUN
ejpam-4168	292	67	set	set	VERB
ejpam-4168	292	68	in	in	ADP
ejpam-4168	292	69	g	g	NOUN
ejpam-4168	292	70	}	}	PUNCT
ejpam-4168	292	71	.	.	PUNCT
ejpam-4168	293	1	any	any	DET
ejpam-4168	293	2	(	(	PUNCT
ejpam-4168	293	3	α	α	NOUN
ejpam-4168	293	4	,	,	PUNCT
ejpam-4168	293	5	k)-partial	k)-partial	ADJ
ejpam-4168	293	6	dominating	dominating	NOUN
ejpam-4168	293	7	set	set	VERB
ejpam-4168	293	8	in	in	ADP
ejpam-4168	293	9	g	g	PROPN
ejpam-4168	293	10	with	with	ADP
ejpam-4168	293	11	cardinality	cardinality	PROPN
ejpam-4168	293	12	∂α	∂α	PROPN
ejpam-4168	293	13	,	,	PUNCT
ejpam-4168	293	14	k(g	k(g	PROPN
ejpam-4168	293	15	)	)	PUNCT
ejpam-4168	293	16	is	be	AUX
ejpam-4168	293	17	referred	refer	VERB
ejpam-4168	293	18	to	to	ADP
ejpam-4168	293	19	as	as	ADP
ejpam-4168	293	20	an	an	DET
ejpam-4168	293	21	∂α	∂α	PROPN
ejpam-4168	293	22	,	,	PUNCT
ejpam-4168	293	23	k	k	NOUN
ejpam-4168	293	24	-	-	PUNCT
ejpam-4168	293	25	set	set	VERB
ejpam-4168	293	26	in	in	ADP
ejpam-4168	293	27	g.	g.	PROPN
ejpam-4168	293	28	remark	remark	PROPN
ejpam-4168	293	29	6	6	NUM
ejpam-4168	293	30	.	.	PUNCT
ejpam-4168	294	1	[	[	X
ejpam-4168	294	2	7	7	X
ejpam-4168	294	3	]	]	PUNCT
ejpam-4168	294	4	every	every	DET
ejpam-4168	294	5	α	α	X
ejpam-4168	294	6	-	-	ADJ
ejpam-4168	294	7	partial	partial	ADJ
ejpam-4168	294	8	dominating	dominating	NOUN
ejpam-4168	294	9	set	set	NOUN
ejpam-4168	294	10	is	be	AUX
ejpam-4168	294	11	an	an	DET
ejpam-4168	294	12	(	(	PUNCT
ejpam-4168	294	13	α	α	NOUN
ejpam-4168	294	14	,	,	PUNCT
ejpam-4168	294	15	k)-partial	k)-partial	ADJ
ejpam-4168	294	16	dominating	dominating	NOUN
ejpam-4168	294	17	set	set	NOUN
ejpam-4168	294	18	.	.	PUNCT
ejpam-4168	295	1	consequently	consequently	ADV
ejpam-4168	295	2	,	,	PUNCT
ejpam-4168	295	3	∂α	∂α	PROPN
ejpam-4168	295	4	,	,	PUNCT
ejpam-4168	295	5	k(g	k(g	PROPN
ejpam-4168	295	6	)	)	PUNCT
ejpam-4168	295	7	≤	≤	NUM
ejpam-4168	295	8	∂α(g	∂α(g	PROPN
ejpam-4168	295	9	)	)	PUNCT
ejpam-4168	295	10	for	for	ADP
ejpam-4168	295	11	each	each	DET
ejpam-4168	295	12	k	k	PROPN
ejpam-4168	295	13	∈	∈	PROPN
ejpam-4168	295	14	(	(	PUNCT
ejpam-4168	295	15	−∞	−∞	NOUN
ejpam-4168	295	16	,	,	PUNCT
ejpam-4168	295	17	0	0	NUM
ejpam-4168	295	18	]	]	PUNCT
ejpam-4168	295	19	.	.	PUNCT
ejpam-4168	296	1	theorem	theorem	NOUN
ejpam-4168	296	2	3	3	NUM
ejpam-4168	296	3	.	.	PUNCT
ejpam-4168	297	1	[	[	X
ejpam-4168	297	2	7	7	X
ejpam-4168	297	3	]	]	X
ejpam-4168	297	4	let	let	VERB
ejpam-4168	297	5	g	g	NOUN
ejpam-4168	297	6	and	and	CCONJ
ejpam-4168	297	7	h	h	NOUN
ejpam-4168	297	8	be	be	AUX
ejpam-4168	297	9	connected	connect	VERB
ejpam-4168	297	10	graphs	graph	NOUN
ejpam-4168	297	11	of	of	ADP
ejpam-4168	297	12	orders	order	NOUN
ejpam-4168	297	13	m	m	VERB
ejpam-4168	297	14	and	and	CCONJ
ejpam-4168	297	15	n	n	CCONJ
ejpam-4168	297	16	,	,	PUNCT
ejpam-4168	297	17	respectively	respectively	ADV
ejpam-4168	297	18	,	,	PUNCT
ejpam-4168	297	19	and	and	CCONJ
ejpam-4168	297	20	let	let	VERB
ejpam-4168	297	21	α	α	PRON
ejpam-4168	297	22	∈	∈	PROPN
ejpam-4168	297	23	(	(	PUNCT
ejpam-4168	297	24	0	0	NUM
ejpam-4168	297	25	,	,	PUNCT
ejpam-4168	297	26	1	1	NUM
ejpam-4168	297	27	]	]	PUNCT
ejpam-4168	297	28	.	.	PUNCT
ejpam-4168	298	1	then	then	ADV
ejpam-4168	298	2	c	c	PROPN
ejpam-4168	298	3	⊆	⊆	NUM
ejpam-4168	298	4	v	v	NOUN
ejpam-4168	298	5	(	(	PUNCT
ejpam-4168	298	6	g	g	PROPN
ejpam-4168	298	7	+	+	NOUN
ejpam-4168	298	8	h	h	NOUN
ejpam-4168	298	9	)	)	PUNCT
ejpam-4168	298	10	is	be	AUX
ejpam-4168	298	11	an	an	DET
ejpam-4168	298	12	α	α	NOUN
ejpam-4168	298	13	-	-	ADJ
ejpam-4168	298	14	partial	partial	ADJ
ejpam-4168	298	15	dominating	dominating	NOUN
ejpam-4168	298	16	set	set	VERB
ejpam-4168	298	17	in	in	ADP
ejpam-4168	298	18	g	g	PROPN
ejpam-4168	299	1	+	+	NOUN
ejpam-4168	299	2	h	h	NOUN
ejpam-4168	299	3	if	if	SCONJ
ejpam-4168	299	4	and	and	CCONJ
ejpam-4168	299	5	only	only	ADV
ejpam-4168	299	6	if	if	SCONJ
ejpam-4168	299	7	at	at	ADV
ejpam-4168	299	8	least	least	ADJ
ejpam-4168	299	9	one	one	NUM
ejpam-4168	299	10	of	of	ADP
ejpam-4168	299	11	the	the	DET
ejpam-4168	299	12	following	follow	VERB
ejpam-4168	299	13	is	be	AUX
ejpam-4168	299	14	true	true	ADJ
ejpam-4168	299	15	:	:	PUNCT
ejpam-4168	299	16	(	(	PUNCT
ejpam-4168	299	17	i	i	NOUN
ejpam-4168	299	18	)	)	PUNCT
ejpam-4168	300	1	c	c	PROPN
ejpam-4168	300	2	⊆	⊆	NUM
ejpam-4168	300	3	v	v	NOUN
ejpam-4168	300	4	(	(	PUNCT
ejpam-4168	300	5	g	g	NOUN
ejpam-4168	300	6	)	)	PUNCT
ejpam-4168	300	7	and	and	CCONJ
ejpam-4168	300	8	c	c	PROPN
ejpam-4168	300	9	is	be	AUX
ejpam-4168	300	10	an	an	DET
ejpam-4168	300	11	(	(	PUNCT
ejpam-4168	300	12	α	α	NOUN
ejpam-4168	300	13	,	,	PUNCT
ejpam-4168	300	14	(	(	PUNCT
ejpam-4168	300	15	α−	α−	ADP
ejpam-4168	300	16	1)n)-partial	1)n)-partial	ADJ
ejpam-4168	300	17	dominating	dominating	NOUN
ejpam-4168	300	18	set	set	VERB
ejpam-4168	300	19	in	in	ADP
ejpam-4168	300	20	g.	g.	PROPN
ejpam-4168	300	21	(	(	PUNCT
ejpam-4168	300	22	ii	ii	PROPN
ejpam-4168	300	23	)	)	PUNCT
ejpam-4168	300	24	c	c	PROPN
ejpam-4168	301	1	⊆	⊆	NUM
ejpam-4168	301	2	v	v	NOUN
ejpam-4168	301	3	(	(	PUNCT
ejpam-4168	301	4	h	h	NOUN
ejpam-4168	301	5	)	)	PUNCT
ejpam-4168	301	6	and	and	CCONJ
ejpam-4168	301	7	c	c	PROPN
ejpam-4168	301	8	is	be	AUX
ejpam-4168	301	9	an	an	DET
ejpam-4168	301	10	(	(	PUNCT
ejpam-4168	301	11	α	α	NOUN
ejpam-4168	301	12	,	,	PUNCT
ejpam-4168	301	13	(	(	PUNCT
ejpam-4168	301	14	α−	α−	ADP
ejpam-4168	301	15	1)m)-partial	1)m)-partial	ADJ
ejpam-4168	301	16	dominating	dominating	NOUN
ejpam-4168	301	17	set	set	VERB
ejpam-4168	301	18	in	in	ADP
ejpam-4168	301	19	h.	h.	PROPN
ejpam-4168	301	20	(	(	PUNCT
ejpam-4168	301	21	iii	iii	NOUN
ejpam-4168	301	22	)	)	PUNCT
ejpam-4168	301	23	c	c	NOUN
ejpam-4168	301	24	∩	∩	X
ejpam-4168	301	25	v	v	X
ejpam-4168	301	26	(	(	PUNCT
ejpam-4168	301	27	g	g	NOUN
ejpam-4168	301	28	)	)	PUNCT
ejpam-4168	301	29	̸=	̸=	PROPN
ejpam-4168	301	30	∅	∅	NOUN
ejpam-4168	301	31	and	and	CCONJ
ejpam-4168	301	32	c	c	NOUN
ejpam-4168	301	33	∩	∩	ADJ
ejpam-4168	301	34	v	v	X
ejpam-4168	301	35	(	(	PUNCT
ejpam-4168	301	36	h	h	NOUN
ejpam-4168	301	37	)	)	PUNCT
ejpam-4168	301	38	̸=	̸=	PROPN
ejpam-4168	301	39	∅.	∅.	PRON
ejpam-4168	301	40	3	3	NUM
ejpam-4168	301	41	.	.	PUNCT
ejpam-4168	302	1	main	main	ADJ
ejpam-4168	302	2	results	result	NOUN
ejpam-4168	302	3	this	this	DET
ejpam-4168	302	4	section	section	NOUN
ejpam-4168	302	5	presents	present	VERB
ejpam-4168	302	6	characterizations	characterization	NOUN
ejpam-4168	302	7	of	of	ADP
ejpam-4168	302	8	the	the	DET
ejpam-4168	302	9	connected	connected	ADJ
ejpam-4168	302	10	α	α	NOUN
ejpam-4168	302	11	-	-	ADJ
ejpam-4168	302	12	partial	partial	ADJ
ejpam-4168	302	13	dominating	dominating	NOUN
ejpam-4168	302	14	sets	set	NOUN
ejpam-4168	302	15	in	in	ADP
ejpam-4168	302	16	the	the	DET
ejpam-4168	302	17	join	join	NOUN
ejpam-4168	302	18	and	and	CCONJ
ejpam-4168	302	19	lexicographic	lexicographic	ADJ
ejpam-4168	302	20	product	product	NOUN
ejpam-4168	302	21	for	for	ADP
ejpam-4168	302	22	any	any	DET
ejpam-4168	302	23	α	α	NOUN
ejpam-4168	302	24	∈	∈	PROPN
ejpam-4168	302	25	(	(	PUNCT
ejpam-4168	302	26	0	0	NUM
ejpam-4168	302	27	,	,	PUNCT
ejpam-4168	302	28	1	1	NUM
ejpam-4168	302	29	]	]	PUNCT
ejpam-4168	302	30	and	and	CCONJ
ejpam-4168	302	31	determines	determine	VERB
ejpam-4168	302	32	the	the	DET
ejpam-4168	302	33	corresponding	corresponding	ADJ
ejpam-4168	302	34	connected	connected	ADJ
ejpam-4168	302	35	α	α	NOUN
ejpam-4168	302	36	-	-	ADJ
ejpam-4168	302	37	partial	partial	ADJ
ejpam-4168	302	38	domination	domination	NOUN
ejpam-4168	302	39	numbers	number	NOUN
ejpam-4168	302	40	of	of	ADP
ejpam-4168	302	41	graphs	graph	NOUN
ejpam-4168	302	42	resulting	result	VERB
ejpam-4168	302	43	from	from	ADP
ejpam-4168	302	44	the	the	DET
ejpam-4168	302	45	said	say	VERB
ejpam-4168	302	46	binary	binary	ADJ
ejpam-4168	302	47	operations	operation	NOUN
ejpam-4168	302	48	.	.	PUNCT
ejpam-4168	303	1	moreover	moreover	ADV
ejpam-4168	303	2	,	,	PUNCT
ejpam-4168	303	3	some	some	DET
ejpam-4168	303	4	α	α	ADJ
ejpam-4168	303	5	-	-	ADJ
ejpam-4168	303	6	partial	partial	ADJ
ejpam-4168	303	7	dominating	dominating	NOUN
ejpam-4168	303	8	sets	set	NOUN
ejpam-4168	303	9	in	in	ADP
ejpam-4168	303	10	the	the	DET
ejpam-4168	303	11	corona	corona	NOUN
ejpam-4168	303	12	and	and	CCONJ
ejpam-4168	303	13	cartesian	cartesian	ADJ
ejpam-4168	303	14	product	product	NOUN
ejpam-4168	303	15	of	of	ADP
ejpam-4168	303	16	graphs	graph	NOUN
ejpam-4168	303	17	are	be	AUX
ejpam-4168	303	18	given	give	VERB
ejpam-4168	303	19	and	and	CCONJ
ejpam-4168	303	20	sharp	sharp	ADJ
ejpam-4168	303	21	bounds	bound	NOUN
ejpam-4168	303	22	for	for	ADP
ejpam-4168	303	23	their	their	PRON
ejpam-4168	303	24	corresponding	corresponding	ADJ
ejpam-4168	303	25	connected	connected	ADJ
ejpam-4168	303	26	α	α	NOUN
ejpam-4168	303	27	-	-	ADJ
ejpam-4168	303	28	partial	partial	ADJ
ejpam-4168	303	29	domination	domination	NOUN
ejpam-4168	303	30	numbers	number	NOUN
ejpam-4168	303	31	are	be	AUX
ejpam-4168	303	32	established	establish	VERB
ejpam-4168	303	33	.	.	PUNCT
ejpam-4168	304	1	we	we	PRON
ejpam-4168	304	2	first	first	ADV
ejpam-4168	304	3	introduce	introduce	VERB
ejpam-4168	304	4	the	the	DET
ejpam-4168	304	5	following	following	ADJ
ejpam-4168	304	6	concept	concept	NOUN
ejpam-4168	304	7	which	which	PRON
ejpam-4168	304	8	will	will	AUX
ejpam-4168	304	9	be	be	AUX
ejpam-4168	304	10	used	use	VERB
ejpam-4168	304	11	to	to	PART
ejpam-4168	304	12	characterize	characterize	VERB
ejpam-4168	304	13	the	the	DET
ejpam-4168	304	14	connected	connected	ADJ
ejpam-4168	304	15	α	α	NOUN
ejpam-4168	304	16	-	-	ADJ
ejpam-4168	304	17	partial	partial	ADJ
ejpam-4168	304	18	dominating	dominating	NOUN
ejpam-4168	304	19	sets	set	NOUN
ejpam-4168	304	20	in	in	ADP
ejpam-4168	304	21	the	the	DET
ejpam-4168	304	22	join	join	NOUN
ejpam-4168	304	23	of	of	ADP
ejpam-4168	304	24	graphs	graph	NOUN
ejpam-4168	304	25	.	.	PUNCT
ejpam-4168	305	1	definition	definition	NOUN
ejpam-4168	305	2	2	2	NUM
ejpam-4168	305	3	.	.	PUNCT
ejpam-4168	306	1	let	let	VERB
ejpam-4168	306	2	g	g	PRON
ejpam-4168	306	3	be	be	AUX
ejpam-4168	306	4	a	a	DET
ejpam-4168	306	5	connected	connected	ADJ
ejpam-4168	306	6	graph	graph	NOUN
ejpam-4168	306	7	.	.	PUNCT
ejpam-4168	307	1	let	let	VERB
ejpam-4168	307	2	α	α	PRON
ejpam-4168	307	3	∈	∈	PROPN
ejpam-4168	307	4	(	(	PUNCT
ejpam-4168	307	5	0	0	NUM
ejpam-4168	307	6	,	,	PUNCT
ejpam-4168	307	7	1	1	NUM
ejpam-4168	307	8	]	]	PUNCT
ejpam-4168	307	9	and	and	CCONJ
ejpam-4168	307	10	k	k	PROPN
ejpam-4168	307	11	∈	∈	PROPN
ejpam-4168	307	12	(	(	PUNCT
ejpam-4168	307	13	−∞	−∞	NOUN
ejpam-4168	307	14	,	,	PUNCT
ejpam-4168	307	15	0	0	NUM
ejpam-4168	307	16	]	]	PUNCT
ejpam-4168	307	17	.	.	PUNCT
ejpam-4168	308	1	a	a	DET
ejpam-4168	308	2	nonempty	nonempty	ADV
ejpam-4168	308	3	set	set	VERB
ejpam-4168	308	4	s	s	PROPN
ejpam-4168	308	5	⊆	⊆	NUM
ejpam-4168	308	6	v	v	NOUN
ejpam-4168	308	7	(	(	PUNCT
ejpam-4168	308	8	g	g	NOUN
ejpam-4168	308	9	)	)	PUNCT
ejpam-4168	308	10	is	be	AUX
ejpam-4168	308	11	a	a	DET
ejpam-4168	308	12	connected	connected	ADJ
ejpam-4168	308	13	(	(	PUNCT
ejpam-4168	308	14	α	α	X
ejpam-4168	308	15	,	,	PUNCT
ejpam-4168	308	16	k)-partial	k)-partial	ADJ
ejpam-4168	308	17	dominating	dominating	NOUN
ejpam-4168	308	18	set	set	VERB
ejpam-4168	308	19	in	in	ADP
ejpam-4168	308	20	g	g	PROPN
ejpam-4168	308	21	if	if	SCONJ
ejpam-4168	308	22	|n	|n	PRON
ejpam-4168	308	23	[	[	X
ejpam-4168	308	24	s]|	s]|	PROPN
ejpam-4168	308	25	≥	≥	NUM
ejpam-4168	308	26	α	α	PROPN
ejpam-4168	308	27	|v	|v	PROPN
ejpam-4168	308	28	(	(	PUNCT
ejpam-4168	308	29	g)|+k	g)|+k	PROPN
ejpam-4168	308	30	and	and	CCONJ
ejpam-4168	308	31	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	308	32	,	,	PUNCT
ejpam-4168	308	33	the	the	DET
ejpam-4168	308	34	subgraph	subgraph	NOUN
ejpam-4168	308	35	induced	induce	VERB
ejpam-4168	308	36	by	by	ADP
ejpam-4168	308	37	s	s	PROPN
ejpam-4168	308	38	,	,	PUNCT
ejpam-4168	308	39	is	be	AUX
ejpam-4168	308	40	connected	connect	VERB
ejpam-4168	308	41	.	.	PUNCT
ejpam-4168	309	1	the	the	DET
ejpam-4168	309	2	connected	connected	ADJ
ejpam-4168	309	3	(	(	PUNCT
ejpam-4168	309	4	α	α	X
ejpam-4168	309	5	,	,	PUNCT
ejpam-4168	309	6	k)-partial	k)-partial	ADJ
ejpam-4168	309	7	domination	domination	NOUN
ejpam-4168	309	8	number	number	NOUN
ejpam-4168	309	9	of	of	ADP
ejpam-4168	309	10	g	g	NOUN
ejpam-4168	309	11	,	,	PUNCT
ejpam-4168	309	12	denoted	denote	VERB
ejpam-4168	309	13	by	by	ADP
ejpam-4168	309	14	∂c	∂c	PROPN
ejpam-4168	309	15	α	α	PROPN
ejpam-4168	309	16	,	,	PUNCT
ejpam-4168	309	17	k(g	k(g	PROPN
ejpam-4168	309	18	)	)	PUNCT
ejpam-4168	309	19	,	,	PUNCT
ejpam-4168	309	20	is	be	AUX
ejpam-4168	309	21	given	give	VERB
ejpam-4168	309	22	by	by	ADP
ejpam-4168	309	23	∂c	∂c	PROPN
ejpam-4168	309	24	α	α	PROPN
ejpam-4168	309	25	,	,	PUNCT
ejpam-4168	309	26	k(g	k(g	PROPN
ejpam-4168	309	27	)	)	PUNCT
ejpam-4168	309	28	=	=	SYM
ejpam-4168	309	29	min	min	NOUN
ejpam-4168	309	30	{	{	PUNCT
ejpam-4168	309	31	|s|	|s|	NOUN
ejpam-4168	309	32	:	:	PUNCT
ejpam-4168	309	33	s	s	VERB
ejpam-4168	309	34	is	be	AUX
ejpam-4168	309	35	a	a	DET
ejpam-4168	309	36	connected	connected	ADJ
ejpam-4168	309	37	(	(	PUNCT
ejpam-4168	309	38	α	α	X
ejpam-4168	309	39	,	,	PUNCT
ejpam-4168	309	40	k)-partial	k)-partial	ADJ
ejpam-4168	309	41	dominating	dominating	NOUN
ejpam-4168	309	42	set	set	VERB
ejpam-4168	309	43	in	in	ADP
ejpam-4168	309	44	g	g	NOUN
ejpam-4168	309	45	}	}	PUNCT
ejpam-4168	309	46	.	.	PUNCT
ejpam-4168	310	1	any	any	DET
ejpam-4168	310	2	connected	connected	ADJ
ejpam-4168	310	3	(	(	PUNCT
ejpam-4168	310	4	α	α	X
ejpam-4168	310	5	,	,	PUNCT
ejpam-4168	310	6	k)-partial	k)-partial	ADJ
ejpam-4168	310	7	dominating	dominating	NOUN
ejpam-4168	310	8	set	set	VERB
ejpam-4168	310	9	in	in	ADP
ejpam-4168	310	10	g	g	PROPN
ejpam-4168	310	11	with	with	ADP
ejpam-4168	310	12	cardinality	cardinality	PROPN
ejpam-4168	310	13	∂c	∂c	PROPN
ejpam-4168	310	14	α	α	PROPN
ejpam-4168	310	15	,	,	PUNCT
ejpam-4168	310	16	k(g	k(g	PROPN
ejpam-4168	310	17	)	)	PUNCT
ejpam-4168	310	18	is	be	AUX
ejpam-4168	310	19	referred	refer	VERB
ejpam-4168	310	20	to	to	ADP
ejpam-4168	310	21	as	as	ADP
ejpam-4168	310	22	a	a	DET
ejpam-4168	310	23	∂c	∂c	PROPN
ejpam-4168	310	24	α	α	NOUN
ejpam-4168	310	25	,	,	PUNCT
ejpam-4168	310	26	k	k	NOUN
ejpam-4168	310	27	-	-	PUNCT
ejpam-4168	310	28	set	set	NOUN
ejpam-4168	310	29	in	in	ADP
ejpam-4168	310	30	g.	g.	PROPN
ejpam-4168	310	31	example	example	NOUN
ejpam-4168	310	32	1	1	X
ejpam-4168	310	33	.	.	X
ejpam-4168	310	34	consider	consider	VERB
ejpam-4168	310	35	the	the	DET
ejpam-4168	310	36	path	path	NOUN
ejpam-4168	310	37	of	of	ADP
ejpam-4168	310	38	order	order	NOUN
ejpam-4168	310	39	12	12	NUM
ejpam-4168	310	40	shown	show	VERB
ejpam-4168	310	41	in	in	ADP
ejpam-4168	310	42	figure	figure	NOUN
ejpam-4168	310	43	6	6	NUM
ejpam-4168	310	44	.	.	PUNCT
ejpam-4168	311	1	clearly	clearly	ADV
ejpam-4168	311	2	,	,	PUNCT
ejpam-4168	311	3	the	the	DET
ejpam-4168	311	4	set	set	NOUN
ejpam-4168	311	5	s1	s1	NOUN
ejpam-4168	311	6	=	=	PUNCT
ejpam-4168	311	7	{	{	PUNCT
ejpam-4168	311	8	2	2	NUM
ejpam-4168	311	9	,	,	PUNCT
ejpam-4168	311	10	3	3	NUM
ejpam-4168	311	11	,	,	PUNCT
ejpam-4168	311	12	4	4	NUM
ejpam-4168	311	13	,	,	PUNCT
ejpam-4168	311	14	5	5	NUM
ejpam-4168	311	15	,	,	PUNCT
ejpam-4168	311	16	6	6	NUM
ejpam-4168	311	17	,	,	PUNCT
ejpam-4168	311	18	7	7	NUM
ejpam-4168	311	19	,	,	PUNCT
ejpam-4168	311	20	8	8	NUM
ejpam-4168	311	21	,	,	PUNCT
ejpam-4168	311	22	9	9	NUM
ejpam-4168	311	23	,	,	PUNCT
ejpam-4168	311	24	10	10	NUM
ejpam-4168	311	25	,	,	PUNCT
ejpam-4168	311	26	11	11	NUM
ejpam-4168	311	27	}	}	PUNCT
ejpam-4168	311	28	is	be	AUX
ejpam-4168	311	29	a	a	DET
ejpam-4168	311	30	connected	connected	ADJ
ejpam-4168	311	31	(	(	PUNCT
ejpam-4168	311	32	1	1	NUM
ejpam-4168	311	33	,	,	PUNCT
ejpam-4168	311	34	0)-partial	0)-partial	NUM
ejpam-4168	311	35	dominating	dominating	NOUN
ejpam-4168	311	36	set	set	NOUN
ejpam-4168	311	37	.	.	PUNCT
ejpam-4168	312	1	for	for	ADP
ejpam-4168	312	2	k	k	PROPN
ejpam-4168	312	3	∈	∈	PROPN
ejpam-4168	312	4	(	(	PUNCT
ejpam-4168	312	5	−∞	−∞	NOUN
ejpam-4168	312	6	,	,	PUNCT
ejpam-4168	312	7	0	0	NUM
ejpam-4168	312	8	]	]	PUNCT
ejpam-4168	312	9	and	and	CCONJ
ejpam-4168	312	10	α	α	NOUN
ejpam-4168	312	11	=	=	SYM
ejpam-4168	312	12	1	1	NUM
ejpam-4168	312	13	2	2	NUM
ejpam-4168	312	14	,	,	PUNCT
ejpam-4168	312	15	the	the	DET
ejpam-4168	312	16	sets	set	NOUN
ejpam-4168	312	17	s2	s2	VERB
ejpam-4168	312	18	=	=	PUNCT
ejpam-4168	312	19	{	{	PUNCT
ejpam-4168	312	20	2	2	NUM
ejpam-4168	312	21	,	,	PUNCT
ejpam-4168	312	22	3	3	NUM
ejpam-4168	312	23	,	,	PUNCT
ejpam-4168	312	24	4	4	NUM
ejpam-4168	312	25	,	,	PUNCT
ejpam-4168	312	26	5	5	NUM
ejpam-4168	312	27	}	}	PUNCT
ejpam-4168	312	28	and	and	CCONJ
ejpam-4168	312	29	s3	s3	PROPN
ejpam-4168	312	30	=	=	SYM
ejpam-4168	312	31	{	{	PUNCT
ejpam-4168	312	32	7	7	NUM
ejpam-4168	312	33	,	,	PUNCT
ejpam-4168	312	34	8	8	NUM
ejpam-4168	312	35	,	,	PUNCT
ejpam-4168	312	36	9	9	NUM
ejpam-4168	312	37	,	,	PUNCT
ejpam-4168	312	38	10	10	NUM
ejpam-4168	312	39	,	,	PUNCT
ejpam-4168	312	40	11	11	NUM
ejpam-4168	312	41	}	}	PUNCT
ejpam-4168	312	42	are	be	AUX
ejpam-4168	312	43	(	(	PUNCT
ejpam-4168	312	44	12	12	NUM
ejpam-4168	312	45	,	,	PUNCT
ejpam-4168	312	46	k)-partial	k)-partial	ADJ
ejpam-4168	312	47	dominating	dominating	NOUN
ejpam-4168	312	48	sets	set	NOUN
ejpam-4168	312	49	in	in	ADP
ejpam-4168	312	50	p12	p12	NOUN
ejpam-4168	312	51	.	.	PUNCT
ejpam-4168	313	1	it	it	PRON
ejpam-4168	313	2	can	can	AUX
ejpam-4168	313	3	be	be	AUX
ejpam-4168	313	4	observed	observe	VERB
ejpam-4168	313	5	that	that	SCONJ
ejpam-4168	313	6	s1	s1	NOUN
ejpam-4168	313	7	is	be	AUX
ejpam-4168	313	8	a	a	DET
ejpam-4168	313	9	∂c	∂c	PROPN
ejpam-4168	313	10	1,0	1,0	NUM
ejpam-4168	313	11	-	-	PUNCT
ejpam-4168	313	12	set	set	VERB
ejpam-4168	313	13	while	while	SCONJ
ejpam-4168	313	14	s2	s2	PROPN
ejpam-4168	313	15	is	be	AUX
ejpam-4168	313	16	a	a	DET
ejpam-4168	313	17	∂c	∂c	PROPN
ejpam-4168	313	18	1	1	NUM
ejpam-4168	313	19	2	2	NUM
ejpam-4168	313	20	,	,	PUNCT
ejpam-4168	313	21	k	k	PROPN
ejpam-4168	313	22	-set	-set	PUNCT
ejpam-4168	313	23	in	in	ADP
ejpam-4168	313	24	p12	p12	PROPN
ejpam-4168	313	25	.	.	PUNCT
ejpam-4168	314	1	hence	hence	ADV
ejpam-4168	314	2	,	,	PUNCT
ejpam-4168	314	3	∂c	∂c	PROPN
ejpam-4168	314	4	1,0(p12	1,0(p12	NUM
ejpam-4168	314	5	)	)	PUNCT
ejpam-4168	314	6	=	=	SYM
ejpam-4168	314	7	10	10	NUM
ejpam-4168	314	8	and	and	CCONJ
ejpam-4168	314	9	∂c	∂c	PROPN
ejpam-4168	314	10	1	1	NUM
ejpam-4168	314	11	2	2	NUM
ejpam-4168	314	12	,	,	PUNCT
ejpam-4168	314	13	k	k	PROPN
ejpam-4168	314	14	(	(	PUNCT
ejpam-4168	314	15	p12	p12	PROPN
ejpam-4168	314	16	)	)	PUNCT
ejpam-4168	314	17	=	=	SYM
ejpam-4168	314	18	4	4	X
ejpam-4168	314	19	.	.	X
ejpam-4168	314	20	j.m	j.m	PROPN
ejpam-4168	314	21	.	.	PROPN
ejpam-4168	314	22	cabulao	cabulao	PROPN
ejpam-4168	314	23	,	,	PUNCT
ejpam-4168	314	24	r.	r.	PROPN
ejpam-4168	314	25	isla	isla	PROPN
ejpam-4168	314	26	/	/	SYM
ejpam-4168	314	27	eur	eur	PROPN
ejpam-4168	314	28	.	.	PUNCT
ejpam-4168	315	1	j.	j.	PROPN
ejpam-4168	315	2	pure	pure	PROPN
ejpam-4168	315	3	appl	appl	PROPN
ejpam-4168	315	4	.	.	PROPN
ejpam-4168	315	5	math	math	PROPN
ejpam-4168	315	6	,	,	PUNCT
ejpam-4168	315	7	14	14	NUM
ejpam-4168	315	8	(	(	PUNCT
ejpam-4168	315	9	4	4	NUM
ejpam-4168	315	10	)	)	PUNCT
ejpam-4168	315	11	(	(	PUNCT
ejpam-4168	315	12	2021	2021	NUM
ejpam-4168	315	13	)	)	PUNCT
ejpam-4168	315	14	,	,	PUNCT
ejpam-4168	315	15	1490	1490	NUM
ejpam-4168	315	16	-	-	SYM
ejpam-4168	315	17	1506	1506	NUM
ejpam-4168	315	18	1497	1497	NUM
ejpam-4168	315	19	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	20	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	21	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	22	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	23	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	24	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	25	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	26	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	27	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	28	...................................................................................	...................................................................................	PUNCT
ejpam-4168	315	29	...................................................................................	...................................................................................	PUNCT
ejpam-4168	316	1	....................................	....................................	PUNCT
ejpam-4168	317	1	•	•	NUM
ejpam-4168	318	1	•	•	NUM
ejpam-4168	318	2	•	•	NUM
ejpam-4168	318	3	•	•	NUM
ejpam-4168	318	4	•	•	NUM
ejpam-4168	318	5	•	•	NUM
ejpam-4168	318	6	•	•	NUM
ejpam-4168	318	7	•	•	NOUN
ejpam-4168	318	8	•	•	NOUN
ejpam-4168	318	9	•	•	NOUN
ejpam-4168	318	10	1	1	NUM
ejpam-4168	318	11	2	2	NUM
ejpam-4168	318	12	3	3	NUM
ejpam-4168	318	13	4	4	NUM
ejpam-4168	318	14	5	5	NUM
ejpam-4168	318	15	6	6	NUM
ejpam-4168	318	16	7	7	NUM
ejpam-4168	318	17	8	8	NUM
ejpam-4168	318	18	9	9	NUM
ejpam-4168	318	19	10	10	NUM
ejpam-4168	318	20	11	11	NUM
ejpam-4168	318	21	12	12	NUM
ejpam-4168	318	22	figure	figure	NOUN
ejpam-4168	318	23	6	6	NUM
ejpam-4168	318	24	:	:	PUNCT
ejpam-4168	318	25	the	the	DET
ejpam-4168	318	26	path	path	NOUN
ejpam-4168	318	27	p12	p12	VERB
ejpam-4168	318	28	with	with	ADP
ejpam-4168	318	29	∂c	∂c	PROPN
ejpam-4168	318	30	1,0(p12	1,0(p12	NUM
ejpam-4168	318	31	)	)	PUNCT
ejpam-4168	319	1	=	=	SYM
ejpam-4168	319	2	10	10	NUM
ejpam-4168	319	3	and	and	CCONJ
ejpam-4168	319	4	∂c	∂c	PROPN
ejpam-4168	319	5	1	1	NUM
ejpam-4168	319	6	2	2	NUM
ejpam-4168	319	7	,	,	PUNCT
ejpam-4168	319	8	k	k	PROPN
ejpam-4168	319	9	(	(	PUNCT
ejpam-4168	319	10	p12	p12	PROPN
ejpam-4168	319	11	)	)	PUNCT
ejpam-4168	319	12	=	=	SYM
ejpam-4168	319	13	4	4	NUM
ejpam-4168	319	14	remark	remark	NOUN
ejpam-4168	319	15	7	7	NUM
ejpam-4168	319	16	.	.	PUNCT
ejpam-4168	320	1	every	every	DET
ejpam-4168	320	2	connected	connected	ADJ
ejpam-4168	320	3	(	(	PUNCT
ejpam-4168	320	4	α	α	X
ejpam-4168	320	5	,	,	PUNCT
ejpam-4168	320	6	k)-partial	k)-partial	ADJ
ejpam-4168	320	7	dominating	dominating	NOUN
ejpam-4168	320	8	set	set	NOUN
ejpam-4168	320	9	is	be	AUX
ejpam-4168	320	10	an	an	DET
ejpam-4168	320	11	(	(	PUNCT
ejpam-4168	320	12	α	α	NOUN
ejpam-4168	320	13	,	,	PUNCT
ejpam-4168	320	14	k)-partial	k)-partial	ADJ
ejpam-4168	320	15	dominating	dominating	NOUN
ejpam-4168	320	16	set	set	NOUN
ejpam-4168	320	17	,	,	PUNCT
ejpam-4168	320	18	where	where	SCONJ
ejpam-4168	320	19	α	α	X
ejpam-4168	320	20	∈	∈	PROPN
ejpam-4168	320	21	(	(	PUNCT
ejpam-4168	320	22	0	0	NUM
ejpam-4168	320	23	,	,	PUNCT
ejpam-4168	320	24	1	1	NUM
ejpam-4168	320	25	]	]	PUNCT
ejpam-4168	320	26	and	and	CCONJ
ejpam-4168	320	27	k	k	PROPN
ejpam-4168	320	28	∈	∈	PROPN
ejpam-4168	320	29	(	(	PUNCT
ejpam-4168	320	30	−∞	−∞	NOUN
ejpam-4168	320	31	,	,	PUNCT
ejpam-4168	320	32	0	0	NUM
ejpam-4168	320	33	]	]	PUNCT
ejpam-4168	320	34	.	.	PUNCT
ejpam-4168	321	1	theorem	theorem	ADJ
ejpam-4168	321	2	4	4	NUM
ejpam-4168	321	3	.	.	PUNCT
ejpam-4168	322	1	let	let	VERB
ejpam-4168	322	2	g	g	NOUN
ejpam-4168	322	3	and	and	CCONJ
ejpam-4168	322	4	h	h	NOUN
ejpam-4168	322	5	be	be	AUX
ejpam-4168	322	6	connected	connect	VERB
ejpam-4168	322	7	graphs	graph	NOUN
ejpam-4168	322	8	of	of	ADP
ejpam-4168	322	9	orders	order	NOUN
ejpam-4168	322	10	m	m	VERB
ejpam-4168	322	11	and	and	CCONJ
ejpam-4168	322	12	n	n	CCONJ
ejpam-4168	322	13	,	,	PUNCT
ejpam-4168	322	14	respectively	respectively	ADV
ejpam-4168	322	15	,	,	PUNCT
ejpam-4168	322	16	and	and	CCONJ
ejpam-4168	322	17	let	let	VERB
ejpam-4168	322	18	α	α	PRON
ejpam-4168	322	19	∈	∈	PROPN
ejpam-4168	322	20	(	(	PUNCT
ejpam-4168	322	21	0	0	NUM
ejpam-4168	322	22	,	,	PUNCT
ejpam-4168	322	23	1	1	NUM
ejpam-4168	322	24	]	]	PUNCT
ejpam-4168	322	25	.	.	PUNCT
ejpam-4168	323	1	then	then	ADV
ejpam-4168	323	2	c	c	PROPN
ejpam-4168	323	3	⊆	⊆	NUM
ejpam-4168	323	4	v	v	NOUN
ejpam-4168	323	5	(	(	PUNCT
ejpam-4168	323	6	g+h	g+h	PROPN
ejpam-4168	323	7	)	)	PUNCT
ejpam-4168	323	8	is	be	AUX
ejpam-4168	323	9	a	a	DET
ejpam-4168	323	10	connected	connected	ADJ
ejpam-4168	323	11	α	α	NOUN
ejpam-4168	323	12	-	-	ADJ
ejpam-4168	323	13	partial	partial	ADJ
ejpam-4168	323	14	dominating	dominating	NOUN
ejpam-4168	323	15	set	set	VERB
ejpam-4168	323	16	in	in	ADP
ejpam-4168	323	17	g+h	g+h	PROPN
ejpam-4168	323	18	if	if	SCONJ
ejpam-4168	323	19	and	and	CCONJ
ejpam-4168	323	20	only	only	ADV
ejpam-4168	323	21	if	if	SCONJ
ejpam-4168	323	22	at	at	ADV
ejpam-4168	323	23	least	least	ADJ
ejpam-4168	323	24	one	one	NUM
ejpam-4168	323	25	of	of	ADP
ejpam-4168	323	26	the	the	DET
ejpam-4168	323	27	following	follow	VERB
ejpam-4168	323	28	is	be	AUX
ejpam-4168	323	29	true	true	ADJ
ejpam-4168	323	30	:	:	PUNCT
ejpam-4168	323	31	(	(	PUNCT
ejpam-4168	323	32	a	a	X
ejpam-4168	323	33	)	)	PUNCT
ejpam-4168	323	34	c	c	NOUN
ejpam-4168	323	35	⊆	⊆	NUM
ejpam-4168	323	36	v	v	NOUN
ejpam-4168	323	37	(	(	PUNCT
ejpam-4168	323	38	g	g	NOUN
ejpam-4168	323	39	)	)	PUNCT
ejpam-4168	323	40	and	and	CCONJ
ejpam-4168	323	41	c	c	PROPN
ejpam-4168	323	42	is	be	AUX
ejpam-4168	323	43	a	a	DET
ejpam-4168	323	44	connected	connected	ADJ
ejpam-4168	323	45	(	(	PUNCT
ejpam-4168	323	46	α	α	X
ejpam-4168	323	47	,	,	PUNCT
ejpam-4168	323	48	(	(	PUNCT
ejpam-4168	323	49	α−	α−	ADP
ejpam-4168	323	50	1)n)-partial	1)n)-partial	ADJ
ejpam-4168	323	51	dominating	dominating	NOUN
ejpam-4168	323	52	set	set	VERB
ejpam-4168	323	53	in	in	ADP
ejpam-4168	323	54	g.	g.	PROPN
ejpam-4168	323	55	(	(	PUNCT
ejpam-4168	323	56	b	b	X
ejpam-4168	323	57	)	)	PUNCT
ejpam-4168	323	58	c	c	NOUN
ejpam-4168	323	59	⊆	⊆	NUM
ejpam-4168	323	60	v	v	NOUN
ejpam-4168	323	61	(	(	PUNCT
ejpam-4168	323	62	h	h	NOUN
ejpam-4168	323	63	)	)	PUNCT
ejpam-4168	323	64	and	and	CCONJ
ejpam-4168	323	65	c	c	PROPN
ejpam-4168	323	66	is	be	AUX
ejpam-4168	323	67	a	a	DET
ejpam-4168	323	68	connected	connected	ADJ
ejpam-4168	323	69	(	(	PUNCT
ejpam-4168	323	70	α	α	X
ejpam-4168	323	71	,	,	PUNCT
ejpam-4168	323	72	(	(	PUNCT
ejpam-4168	323	73	α−	α−	ADP
ejpam-4168	323	74	1)m)-partial	1)m)-partial	ADJ
ejpam-4168	323	75	dominating	dominating	NOUN
ejpam-4168	323	76	set	set	VERB
ejpam-4168	323	77	in	in	ADP
ejpam-4168	323	78	h.	h.	PROPN
ejpam-4168	323	79	(	(	PUNCT
ejpam-4168	323	80	c	c	X
ejpam-4168	323	81	)	)	PUNCT
ejpam-4168	323	82	c	c	NOUN
ejpam-4168	323	83	∩	∩	X
ejpam-4168	323	84	v	v	X
ejpam-4168	323	85	(	(	PUNCT
ejpam-4168	323	86	g	g	NOUN
ejpam-4168	323	87	)	)	PUNCT
ejpam-4168	323	88	̸=	̸=	PROPN
ejpam-4168	323	89	∅	∅	NOUN
ejpam-4168	323	90	and	and	CCONJ
ejpam-4168	323	91	c	c	NOUN
ejpam-4168	323	92	∩	∩	ADJ
ejpam-4168	323	93	v	v	X
ejpam-4168	323	94	(	(	PUNCT
ejpam-4168	323	95	h	h	NOUN
ejpam-4168	323	96	)	)	PUNCT
ejpam-4168	323	97	̸=	̸=	NOUN
ejpam-4168	323	98	∅.	∅.	PRON
ejpam-4168	323	99	proof	proof	NOUN
ejpam-4168	323	100	:	:	PUNCT
ejpam-4168	323	101	suppose	suppose	VERB
ejpam-4168	323	102	that	that	SCONJ
ejpam-4168	323	103	c	c	PROPN
ejpam-4168	323	104	⊆	⊆	NUM
ejpam-4168	323	105	v	v	NOUN
ejpam-4168	323	106	(	(	PUNCT
ejpam-4168	323	107	g	g	PROPN
ejpam-4168	323	108	+	+	NOUN
ejpam-4168	323	109	h	h	NOUN
ejpam-4168	323	110	)	)	PUNCT
ejpam-4168	323	111	is	be	AUX
ejpam-4168	323	112	a	a	DET
ejpam-4168	323	113	connected	connected	ADJ
ejpam-4168	323	114	α	α	NOUN
ejpam-4168	323	115	-	-	ADJ
ejpam-4168	323	116	partial	partial	ADJ
ejpam-4168	323	117	dominating	dominating	NOUN
ejpam-4168	323	118	set	set	VERB
ejpam-4168	323	119	in	in	ADP
ejpam-4168	323	120	g	g	PROPN
ejpam-4168	323	121	+	+	CCONJ
ejpam-4168	323	122	h.	h.	PROPN
ejpam-4168	323	123	then	then	ADV
ejpam-4168	323	124	,	,	PUNCT
ejpam-4168	323	125	by	by	ADP
ejpam-4168	323	126	remark	remark	NOUN
ejpam-4168	323	127	1	1	NUM
ejpam-4168	323	128	,	,	PUNCT
ejpam-4168	323	129	c	c	PROPN
ejpam-4168	323	130	is	be	AUX
ejpam-4168	323	131	an	an	DET
ejpam-4168	323	132	α	α	NOUN
ejpam-4168	323	133	-	-	ADJ
ejpam-4168	323	134	partial	partial	ADJ
ejpam-4168	323	135	dominating	dominating	NOUN
ejpam-4168	323	136	set	set	VERB
ejpam-4168	323	137	in	in	ADP
ejpam-4168	323	138	g+h	g+h	PROPN
ejpam-4168	323	139	.	.	PUNCT
ejpam-4168	324	1	by	by	ADP
ejpam-4168	324	2	theorem	theorem	NOUN
ejpam-4168	324	3	3	3	NUM
ejpam-4168	324	4	,	,	PUNCT
ejpam-4168	324	5	at	at	ADV
ejpam-4168	324	6	least	least	ADJ
ejpam-4168	324	7	one	one	NUM
ejpam-4168	324	8	of	of	ADP
ejpam-4168	324	9	the	the	DET
ejpam-4168	324	10	following	follow	VERB
ejpam-4168	324	11	is	be	AUX
ejpam-4168	324	12	true	true	ADJ
ejpam-4168	324	13	:	:	PUNCT
ejpam-4168	324	14	(	(	PUNCT
ejpam-4168	324	15	i	i	NOUN
ejpam-4168	324	16	)	)	PUNCT
ejpam-4168	324	17	c	c	PROPN
ejpam-4168	325	1	⊆	⊆	NUM
ejpam-4168	325	2	v	v	NOUN
ejpam-4168	325	3	(	(	PUNCT
ejpam-4168	325	4	g	g	NOUN
ejpam-4168	325	5	)	)	PUNCT
ejpam-4168	325	6	and	and	CCONJ
ejpam-4168	325	7	c	c	PROPN
ejpam-4168	325	8	is	be	AUX
ejpam-4168	325	9	an	an	DET
ejpam-4168	325	10	(	(	PUNCT
ejpam-4168	325	11	α	α	NOUN
ejpam-4168	325	12	,	,	PUNCT
ejpam-4168	325	13	(	(	PUNCT
ejpam-4168	325	14	α	α	NOUN
ejpam-4168	325	15	−	−	PROPN
ejpam-4168	325	16	1)n)-partial	1)n)-partial	ADJ
ejpam-4168	325	17	dominating	dominating	NOUN
ejpam-4168	325	18	set	set	VERB
ejpam-4168	325	19	in	in	ADP
ejpam-4168	325	20	g	g	PROPN
ejpam-4168	325	21	,	,	PUNCT
ejpam-4168	325	22	(	(	PUNCT
ejpam-4168	325	23	ii	ii	NOUN
ejpam-4168	325	24	)	)	PUNCT
ejpam-4168	325	25	c	c	PROPN
ejpam-4168	326	1	⊆	⊆	NUM
ejpam-4168	326	2	v	v	NOUN
ejpam-4168	326	3	(	(	PUNCT
ejpam-4168	326	4	h	h	NOUN
ejpam-4168	326	5	)	)	PUNCT
ejpam-4168	326	6	and	and	CCONJ
ejpam-4168	326	7	c	c	PROPN
ejpam-4168	326	8	is	be	AUX
ejpam-4168	326	9	an	an	DET
ejpam-4168	326	10	(	(	PUNCT
ejpam-4168	326	11	α	α	NOUN
ejpam-4168	326	12	,	,	PUNCT
ejpam-4168	326	13	(	(	PUNCT
ejpam-4168	326	14	α	α	NOUN
ejpam-4168	326	15	−	−	PROPN
ejpam-4168	326	16	1)m)-partial	1)m)-partial	ADJ
ejpam-4168	326	17	dominating	dominating	NOUN
ejpam-4168	326	18	set	set	VERB
ejpam-4168	326	19	in	in	ADP
ejpam-4168	326	20	h	h	NOUN
ejpam-4168	326	21	,	,	PUNCT
ejpam-4168	326	22	or	or	CCONJ
ejpam-4168	326	23	(	(	PUNCT
ejpam-4168	326	24	iii	iii	X
ejpam-4168	326	25	)	)	PUNCT
ejpam-4168	326	26	c	c	NOUN
ejpam-4168	326	27	∩	∩	X
ejpam-4168	326	28	v	v	X
ejpam-4168	326	29	(	(	PUNCT
ejpam-4168	326	30	g	g	NOUN
ejpam-4168	326	31	)	)	PUNCT
ejpam-4168	326	32	̸=	̸=	PROPN
ejpam-4168	326	33	∅	∅	NOUN
ejpam-4168	326	34	or	or	CCONJ
ejpam-4168	326	35	c	c	NOUN
ejpam-4168	326	36	∩	∩	ADJ
ejpam-4168	326	37	v	v	ADJ
ejpam-4168	326	38	(	(	PUNCT
ejpam-4168	326	39	h	h	NOUN
ejpam-4168	326	40	)	)	PUNCT
ejpam-4168	326	41	̸=	̸=	PROPN
ejpam-4168	326	42	∅.	∅.	ADV
ejpam-4168	326	43	suppose	suppose	VERB
ejpam-4168	326	44	that	that	SCONJ
ejpam-4168	326	45	(	(	PUNCT
ejpam-4168	326	46	i	i	NOUN
ejpam-4168	326	47	)	)	PUNCT
ejpam-4168	326	48	holds	hold	VERB
ejpam-4168	326	49	.	.	PUNCT
ejpam-4168	327	1	since	since	SCONJ
ejpam-4168	327	2	c	c	PROPN
ejpam-4168	327	3	is	be	AUX
ejpam-4168	327	4	a	a	DET
ejpam-4168	327	5	connected	connected	ADJ
ejpam-4168	327	6	αpartial	αpartial	ADJ
ejpam-4168	327	7	dominating	dominating	NOUN
ejpam-4168	327	8	set	set	VERB
ejpam-4168	327	9	in	in	ADP
ejpam-4168	327	10	g+h	g+h	PROPN
ejpam-4168	327	11	and	and	CCONJ
ejpam-4168	327	12	c	c	PROPN
ejpam-4168	327	13	⊆	⊆	NUM
ejpam-4168	327	14	v	v	NOUN
ejpam-4168	327	15	(	(	PUNCT
ejpam-4168	327	16	g	g	NOUN
ejpam-4168	327	17	)	)	PUNCT
ejpam-4168	327	18	,	,	PUNCT
ejpam-4168	327	19	it	it	PRON
ejpam-4168	327	20	follows	follow	VERB
ejpam-4168	327	21	that	that	SCONJ
ejpam-4168	327	22	c	c	PROPN
ejpam-4168	327	23	is	be	AUX
ejpam-4168	327	24	a	a	DET
ejpam-4168	327	25	connected	connected	ADJ
ejpam-4168	327	26	α	α	NOUN
ejpam-4168	327	27	-	-	ADJ
ejpam-4168	327	28	partial	partial	ADJ
ejpam-4168	327	29	dominating	dominating	NOUN
ejpam-4168	327	30	set	set	VERB
ejpam-4168	327	31	in	in	ADP
ejpam-4168	327	32	g.	g.	PROPN
ejpam-4168	327	33	moreover	moreover	ADV
ejpam-4168	327	34	,	,	PUNCT
ejpam-4168	327	35	|ng+h	|ng+h	PUNCT
ejpam-4168	328	1	[	[	X
ejpam-4168	328	2	c]|	c]|	X
ejpam-4168	328	3	=	=	PUNCT
ejpam-4168	328	4	|ng[c]|+	|ng[c]|+	PROPN
ejpam-4168	328	5	n	n	NUM
ejpam-4168	328	6	≥	≥	NOUN
ejpam-4168	328	7	αm+	αm+	PROPN
ejpam-4168	328	8	n	n	CCONJ
ejpam-4168	328	9	≥	≥	NOUN
ejpam-4168	328	10	α(m+	α(m+	NUM
ejpam-4168	328	11	n	n	CCONJ
ejpam-4168	328	12	)	)	PUNCT
ejpam-4168	328	13	.	.	PUNCT
ejpam-4168	329	1	thus	thus	ADV
ejpam-4168	329	2	,	,	PUNCT
ejpam-4168	329	3	|ng[c]|	|ng[c]|	PROPN
ejpam-4168	329	4	≥	≥	NOUN
ejpam-4168	329	5	αm+(α−	αm+(α−	PROPN
ejpam-4168	329	6	1)n	1)n	X
ejpam-4168	329	7	.	.	PUNCT
ejpam-4168	330	1	hence	hence	ADV
ejpam-4168	330	2	,	,	PUNCT
ejpam-4168	330	3	c	c	PROPN
ejpam-4168	330	4	is	be	AUX
ejpam-4168	330	5	a	a	DET
ejpam-4168	330	6	connected	connected	ADJ
ejpam-4168	330	7	(	(	PUNCT
ejpam-4168	330	8	α	α	X
ejpam-4168	330	9	,	,	PUNCT
ejpam-4168	330	10	(	(	PUNCT
ejpam-4168	330	11	α−	α−	ADP
ejpam-4168	330	12	1)n)-partial	1)n)-partial	ADJ
ejpam-4168	330	13	dominating	dominating	NOUN
ejpam-4168	330	14	set	set	NOUN
ejpam-4168	330	15	in	in	ADP
ejpam-4168	330	16	g	g	NOUN
ejpam-4168	330	17	,	,	PUNCT
ejpam-4168	330	18	so	so	ADV
ejpam-4168	330	19	condition	condition	NOUN
ejpam-4168	330	20	(	(	PUNCT
ejpam-4168	330	21	a	a	NOUN
ejpam-4168	330	22	)	)	PUNCT
ejpam-4168	330	23	holds	hold	NOUN
ejpam-4168	330	24	.	.	PUNCT
ejpam-4168	331	1	similarly	similarly	ADV
ejpam-4168	331	2	,	,	PUNCT
ejpam-4168	331	3	if	if	SCONJ
ejpam-4168	331	4	condition	condition	NOUN
ejpam-4168	331	5	(	(	PUNCT
ejpam-4168	331	6	ii	ii	NOUN
ejpam-4168	331	7	)	)	PUNCT
ejpam-4168	331	8	holds	hold	VERB
ejpam-4168	331	9	,	,	PUNCT
ejpam-4168	331	10	then	then	ADV
ejpam-4168	331	11	condition	condition	NOUN
ejpam-4168	331	12	(	(	PUNCT
ejpam-4168	331	13	b	b	NOUN
ejpam-4168	331	14	)	)	PUNCT
ejpam-4168	331	15	is	be	AUX
ejpam-4168	331	16	true	true	ADJ
ejpam-4168	331	17	.	.	PUNCT
ejpam-4168	332	1	finally	finally	ADV
ejpam-4168	332	2	,	,	PUNCT
ejpam-4168	332	3	condition	condition	NOUN
ejpam-4168	332	4	(	(	PUNCT
ejpam-4168	332	5	iii	iii	NOUN
ejpam-4168	332	6	)	)	PUNCT
ejpam-4168	332	7	is	be	AUX
ejpam-4168	332	8	the	the	DET
ejpam-4168	332	9	same	same	ADJ
ejpam-4168	332	10	as	as	ADP
ejpam-4168	332	11	condition	condition	NOUN
ejpam-4168	332	12	(	(	PUNCT
ejpam-4168	332	13	c	c	NOUN
ejpam-4168	332	14	)	)	PUNCT
ejpam-4168	332	15	.	.	PUNCT
ejpam-4168	333	1	for	for	ADP
ejpam-4168	333	2	the	the	DET
ejpam-4168	333	3	converse	converse	NOUN
ejpam-4168	333	4	,	,	PUNCT
ejpam-4168	333	5	suppose	suppose	VERB
ejpam-4168	333	6	that	that	SCONJ
ejpam-4168	333	7	condition	condition	NOUN
ejpam-4168	333	8	(	(	PUNCT
ejpam-4168	333	9	a	a	NOUN
ejpam-4168	333	10	)	)	PUNCT
ejpam-4168	333	11	holds	hold	NOUN
ejpam-4168	333	12	.	.	PUNCT
ejpam-4168	334	1	then	then	ADV
ejpam-4168	334	2	c	c	PROPN
ejpam-4168	334	3	⊆	⊆	NUM
ejpam-4168	334	4	v	v	X
ejpam-4168	334	5	(	(	PUNCT
ejpam-4168	334	6	g	g	NOUN
ejpam-4168	334	7	)	)	PUNCT
ejpam-4168	334	8	and	and	CCONJ
ejpam-4168	334	9	c	c	PROPN
ejpam-4168	334	10	is	be	AUX
ejpam-4168	334	11	an	an	DET
ejpam-4168	334	12	(	(	PUNCT
ejpam-4168	334	13	α	α	NOUN
ejpam-4168	334	14	,	,	PUNCT
ejpam-4168	334	15	(	(	PUNCT
ejpam-4168	334	16	α−1)n)-partial	α−1)n)-partial	ADJ
ejpam-4168	334	17	dominating	dominating	NOUN
ejpam-4168	334	18	set	set	VERB
ejpam-4168	334	19	ing	e	VERB
ejpam-4168	334	20	by	by	ADP
ejpam-4168	334	21	remark	remark	NOUN
ejpam-4168	334	22	7	7	NUM
ejpam-4168	334	23	.	.	PUNCT
ejpam-4168	334	24	thus	thus	ADV
ejpam-4168	334	25	,	,	PUNCT
ejpam-4168	334	26	by	by	ADP
ejpam-4168	334	27	theorem	theorem	NOUN
ejpam-4168	334	28	3	3	NUM
ejpam-4168	334	29	,	,	PUNCT
ejpam-4168	334	30	c	c	PROPN
ejpam-4168	334	31	⊆	⊆	NUM
ejpam-4168	334	32	v	v	NOUN
ejpam-4168	334	33	(	(	PUNCT
ejpam-4168	334	34	g+h	g+h	PROPN
ejpam-4168	334	35	)	)	PUNCT
ejpam-4168	334	36	is	be	AUX
ejpam-4168	334	37	an	an	DET
ejpam-4168	334	38	α	α	NOUN
ejpam-4168	334	39	-	-	ADJ
ejpam-4168	334	40	partial	partial	ADJ
ejpam-4168	334	41	dominating	dominating	NOUN
ejpam-4168	334	42	set	set	VERB
ejpam-4168	334	43	in	in	ADP
ejpam-4168	334	44	g	g	PROPN
ejpam-4168	334	45	+	+	CCONJ
ejpam-4168	334	46	h.	h.	PROPN
ejpam-4168	334	47	moreover	moreover	ADV
ejpam-4168	334	48	,	,	PUNCT
ejpam-4168	334	49	c	c	PROPN
ejpam-4168	334	50	is	be	AUX
ejpam-4168	334	51	connected	connect	VERB
ejpam-4168	334	52	in	in	ADP
ejpam-4168	334	53	g	g	PROPN
ejpam-4168	334	54	+	+	CCONJ
ejpam-4168	334	55	h	h	NOUN
ejpam-4168	334	56	since	since	SCONJ
ejpam-4168	334	57	c	c	PROPN
ejpam-4168	334	58	is	be	AUX
ejpam-4168	334	59	connected	connect	VERB
ejpam-4168	334	60	in	in	ADP
ejpam-4168	334	61	g.	g.	PROPN
ejpam-4168	334	62	thus	thus	ADV
ejpam-4168	334	63	,	,	PUNCT
ejpam-4168	334	64	c	c	PROPN
ejpam-4168	334	65	is	be	AUX
ejpam-4168	334	66	a	a	DET
ejpam-4168	334	67	connected	connected	ADJ
ejpam-4168	334	68	α	α	NOUN
ejpam-4168	334	69	-	-	ADJ
ejpam-4168	334	70	partial	partial	ADJ
ejpam-4168	334	71	dominating	dominating	NOUN
ejpam-4168	334	72	set	set	VERB
ejpam-4168	334	73	in	in	ADP
ejpam-4168	334	74	g+h	g+h	PROPN
ejpam-4168	334	75	.	.	PUNCT
ejpam-4168	335	1	similarly	similarly	ADV
ejpam-4168	335	2	,	,	PUNCT
ejpam-4168	335	3	if	if	SCONJ
ejpam-4168	335	4	condition	condition	NOUN
ejpam-4168	335	5	(	(	PUNCT
ejpam-4168	335	6	b	b	NOUN
ejpam-4168	335	7	)	)	PUNCT
ejpam-4168	335	8	holds	hold	VERB
ejpam-4168	335	9	,	,	PUNCT
ejpam-4168	335	10	it	it	PRON
ejpam-4168	335	11	follows	follow	VERB
ejpam-4168	335	12	that	that	SCONJ
ejpam-4168	335	13	c	c	PROPN
ejpam-4168	335	14	is	be	AUX
ejpam-4168	335	15	a	a	DET
ejpam-4168	335	16	connected	connected	ADJ
ejpam-4168	335	17	α	α	NOUN
ejpam-4168	335	18	-	-	ADJ
ejpam-4168	335	19	partial	partial	ADJ
ejpam-4168	335	20	dominating	dominating	NOUN
ejpam-4168	335	21	set	set	VERB
ejpam-4168	335	22	in	in	ADP
ejpam-4168	335	23	g	g	PROPN
ejpam-4168	335	24	+	+	PROPN
ejpam-4168	335	25	h.	h.	NOUN
ejpam-4168	335	26	if	if	SCONJ
ejpam-4168	335	27	condition	condition	NOUN
ejpam-4168	335	28	(	(	PUNCT
ejpam-4168	335	29	c	c	NOUN
ejpam-4168	335	30	)	)	PUNCT
ejpam-4168	335	31	holds	hold	NOUN
ejpam-4168	335	32	,	,	PUNCT
ejpam-4168	335	33	then	then	ADV
ejpam-4168	335	34	by	by	ADP
ejpam-4168	335	35	theorem	theorem	NOUN
ejpam-4168	335	36	3	3	NUM
ejpam-4168	335	37	,	,	PUNCT
ejpam-4168	335	38	c	c	PROPN
ejpam-4168	335	39	⊆	⊆	NUM
ejpam-4168	335	40	v	v	NOUN
ejpam-4168	335	41	(	(	PUNCT
ejpam-4168	335	42	g+h	g+h	PROPN
ejpam-4168	335	43	)	)	PUNCT
ejpam-4168	335	44	is	be	AUX
ejpam-4168	335	45	an	an	DET
ejpam-4168	335	46	α	α	NOUN
ejpam-4168	335	47	-	-	ADJ
ejpam-4168	335	48	partial	partial	ADJ
ejpam-4168	335	49	dominating	dominating	NOUN
ejpam-4168	335	50	set	set	VERB
ejpam-4168	335	51	in	in	ADP
ejpam-4168	335	52	g+h	g+h	PROPN
ejpam-4168	335	53	.	.	PUNCT
ejpam-4168	336	1	moreover	moreover	ADV
ejpam-4168	336	2	,	,	PUNCT
ejpam-4168	336	3	c	c	PROPN
ejpam-4168	336	4	is	be	AUX
ejpam-4168	336	5	clearly	clearly	ADV
ejpam-4168	336	6	a	a	DET
ejpam-4168	336	7	connected	connected	ADJ
ejpam-4168	336	8	α	α	NOUN
ejpam-4168	336	9	-	-	ADJ
ejpam-4168	336	10	partial	partial	ADJ
ejpam-4168	336	11	dominating	dominating	NOUN
ejpam-4168	336	12	set	set	VERB
ejpam-4168	336	13	in	in	ADP
ejpam-4168	336	14	g+h	g+h	PROPN
ejpam-4168	336	15	.	.	PUNCT
ejpam-4168	337	1	corollary	corollary	ADJ
ejpam-4168	337	2	2	2	NUM
ejpam-4168	337	3	.	.	PUNCT
ejpam-4168	338	1	let	let	VERB
ejpam-4168	338	2	g	g	NOUN
ejpam-4168	338	3	and	and	CCONJ
ejpam-4168	338	4	h	h	NOUN
ejpam-4168	338	5	be	be	AUX
ejpam-4168	338	6	connected	connect	VERB
ejpam-4168	338	7	graphs	graph	NOUN
ejpam-4168	338	8	,	,	PUNCT
ejpam-4168	338	9	α	α	PROPN
ejpam-4168	338	10	∈	∈	PROPN
ejpam-4168	338	11	(	(	PUNCT
ejpam-4168	338	12	0	0	NUM
ejpam-4168	338	13	,	,	PUNCT
ejpam-4168	338	14	1	1	NUM
ejpam-4168	338	15	]	]	PUNCT
ejpam-4168	338	16	and	and	CCONJ
ejpam-4168	338	17	let	let	VERB
ejpam-4168	338	18	c	c	PROPN
ejpam-4168	338	19	⊆	⊆	NUM
ejpam-4168	338	20	v	v	NOUN
ejpam-4168	338	21	(	(	PUNCT
ejpam-4168	338	22	g+h	g+h	NOUN
ejpam-4168	338	23	)	)	PUNCT
ejpam-4168	338	24	satisfying	satisfy	VERB
ejpam-4168	338	25	one	one	NUM
ejpam-4168	338	26	of	of	ADP
ejpam-4168	338	27	the	the	DET
ejpam-4168	338	28	following	following	ADJ
ejpam-4168	338	29	conditions	condition	NOUN
ejpam-4168	338	30	:	:	PUNCT
ejpam-4168	338	31	(	(	PUNCT
ejpam-4168	338	32	i	i	NOUN
ejpam-4168	338	33	)	)	PUNCT
ejpam-4168	338	34	c	c	PROPN
ejpam-4168	339	1	⊆	⊆	NUM
ejpam-4168	339	2	v	v	NOUN
ejpam-4168	339	3	(	(	PUNCT
ejpam-4168	339	4	g	g	NOUN
ejpam-4168	339	5	)	)	PUNCT
ejpam-4168	339	6	is	be	AUX
ejpam-4168	339	7	a	a	DET
ejpam-4168	339	8	connected	connected	ADJ
ejpam-4168	339	9	α	α	NOUN
ejpam-4168	339	10	-	-	ADJ
ejpam-4168	339	11	partial	partial	ADJ
ejpam-4168	339	12	dominating	dominating	NOUN
ejpam-4168	339	13	set	set	VERB
ejpam-4168	339	14	in	in	ADP
ejpam-4168	339	15	g.	g.	PROPN
ejpam-4168	339	16	(	(	PUNCT
ejpam-4168	339	17	ii	ii	PROPN
ejpam-4168	339	18	)	)	PUNCT
ejpam-4168	339	19	c	c	PROPN
ejpam-4168	339	20	⊆	⊆	NUM
ejpam-4168	339	21	v	v	NOUN
ejpam-4168	339	22	(	(	PUNCT
ejpam-4168	339	23	h	h	NOUN
ejpam-4168	339	24	)	)	PUNCT
ejpam-4168	339	25	is	be	AUX
ejpam-4168	339	26	a	a	DET
ejpam-4168	339	27	connected	connected	ADJ
ejpam-4168	339	28	α	α	NOUN
ejpam-4168	339	29	-	-	ADJ
ejpam-4168	339	30	partial	partial	ADJ
ejpam-4168	339	31	dominating	dominating	NOUN
ejpam-4168	339	32	set	set	VERB
ejpam-4168	339	33	in	in	ADP
ejpam-4168	339	34	h.	h.	PROPN
ejpam-4168	339	35	(	(	PUNCT
ejpam-4168	339	36	iii	iii	NOUN
ejpam-4168	339	37	)	)	PUNCT
ejpam-4168	339	38	|c	|c	VERB
ejpam-4168	339	39	∩	∩	ADJ
ejpam-4168	339	40	v	v	NOUN
ejpam-4168	339	41	(	(	PUNCT
ejpam-4168	339	42	g)|	g)|	VERB
ejpam-4168	339	43	≥	≥	NOUN
ejpam-4168	339	44	1	1	NUM
ejpam-4168	339	45	and	and	CCONJ
ejpam-4168	339	46	|c	|c	ADJ
ejpam-4168	339	47	∩	∩	ADJ
ejpam-4168	339	48	v	v	NOUN
ejpam-4168	339	49	(	(	PUNCT
ejpam-4168	339	50	h)|	h)|	PROPN
ejpam-4168	339	51	≥	≥	NUM
ejpam-4168	339	52	1	1	NUM
ejpam-4168	339	53	.	.	PUNCT
ejpam-4168	340	1	then	then	ADV
ejpam-4168	340	2	c	c	PROPN
ejpam-4168	340	3	is	be	AUX
ejpam-4168	340	4	a	a	DET
ejpam-4168	340	5	connected	connected	ADJ
ejpam-4168	340	6	α	α	NOUN
ejpam-4168	340	7	-	-	ADJ
ejpam-4168	340	8	partial	partial	ADJ
ejpam-4168	340	9	dominating	dominating	NOUN
ejpam-4168	340	10	set	set	VERB
ejpam-4168	340	11	in	in	ADP
ejpam-4168	340	12	g+h	g+h	PROPN
ejpam-4168	340	13	.	.	PUNCT
ejpam-4168	341	1	j.m	j.m	PROPN
ejpam-4168	341	2	.	.	PROPN
ejpam-4168	341	3	cabulao	cabulao	PROPN
ejpam-4168	341	4	,	,	PUNCT
ejpam-4168	341	5	r.	r.	PROPN
ejpam-4168	341	6	isla	isla	PROPN
ejpam-4168	341	7	/	/	SYM
ejpam-4168	341	8	eur	eur	PROPN
ejpam-4168	341	9	.	.	PUNCT
ejpam-4168	342	1	j.	j.	PROPN
ejpam-4168	342	2	pure	pure	PROPN
ejpam-4168	342	3	appl	appl	PROPN
ejpam-4168	342	4	.	.	PROPN
ejpam-4168	342	5	math	math	PROPN
ejpam-4168	342	6	,	,	PUNCT
ejpam-4168	342	7	14	14	NUM
ejpam-4168	342	8	(	(	PUNCT
ejpam-4168	342	9	4	4	NUM
ejpam-4168	342	10	)	)	PUNCT
ejpam-4168	342	11	(	(	PUNCT
ejpam-4168	342	12	2021	2021	NUM
ejpam-4168	342	13	)	)	PUNCT
ejpam-4168	342	14	,	,	PUNCT
ejpam-4168	342	15	1490	1490	NUM
ejpam-4168	342	16	-	-	SYM
ejpam-4168	342	17	1506	1506	NUM
ejpam-4168	342	18	1498	1498	NUM
ejpam-4168	342	19	proof	proof	NOUN
ejpam-4168	342	20	:	:	PUNCT
ejpam-4168	342	21	let	let	VERB
ejpam-4168	342	22	|v	|v	PROPN
ejpam-4168	342	23	(	(	PUNCT
ejpam-4168	342	24	g)|	g)|	VERB
ejpam-4168	342	25	=	=	PUNCT
ejpam-4168	342	26	m	m	NOUN
ejpam-4168	342	27	and	and	CCONJ
ejpam-4168	342	28	|v	|v	PROPN
ejpam-4168	342	29	(	(	PUNCT
ejpam-4168	342	30	h)|	h)|	NOUN
ejpam-4168	342	31	=	=	PUNCT
ejpam-4168	342	32	n.	n.	PROPN
ejpam-4168	342	33	suppose	suppose	VERB
ejpam-4168	342	34	that	that	SCONJ
ejpam-4168	342	35	condition	condition	NOUN
ejpam-4168	342	36	(	(	PUNCT
ejpam-4168	342	37	i	i	NOUN
ejpam-4168	342	38	)	)	PUNCT
ejpam-4168	342	39	holds	hold	VERB
ejpam-4168	342	40	.	.	PUNCT
ejpam-4168	343	1	it	it	PRON
ejpam-4168	343	2	follows	follow	VERB
ejpam-4168	343	3	by	by	ADP
ejpam-4168	343	4	remark	remark	NOUN
ejpam-4168	343	5	6	6	NUM
ejpam-4168	343	6	that	that	SCONJ
ejpam-4168	343	7	c	c	PROPN
ejpam-4168	343	8	is	be	AUX
ejpam-4168	343	9	a	a	DET
ejpam-4168	343	10	connected	connected	ADJ
ejpam-4168	343	11	(	(	PUNCT
ejpam-4168	343	12	α	α	X
ejpam-4168	343	13	,	,	PUNCT
ejpam-4168	343	14	k)-partial	k)-partial	ADJ
ejpam-4168	343	15	dominating	dominating	NOUN
ejpam-4168	343	16	set	set	VERB
ejpam-4168	343	17	in	in	ADP
ejpam-4168	343	18	g	g	NOUN
ejpam-4168	343	19	for	for	ADP
ejpam-4168	343	20	k	k	PROPN
ejpam-4168	343	21	=	=	SYM
ejpam-4168	343	22	(	(	PUNCT
ejpam-4168	343	23	α	α	NOUN
ejpam-4168	343	24	−	−	PROPN
ejpam-4168	343	25	1)n	1)n	NUM
ejpam-4168	343	26	.	.	PUNCT
ejpam-4168	344	1	by	by	ADP
ejpam-4168	344	2	theorem	theorem	NOUN
ejpam-4168	344	3	4(a	4(a	NUM
ejpam-4168	344	4	)	)	PUNCT
ejpam-4168	344	5	,	,	PUNCT
ejpam-4168	344	6	c	c	PROPN
ejpam-4168	344	7	is	be	AUX
ejpam-4168	344	8	a	a	DET
ejpam-4168	344	9	connected	connected	ADJ
ejpam-4168	344	10	α	α	NOUN
ejpam-4168	344	11	-	-	ADJ
ejpam-4168	344	12	partial	partial	ADJ
ejpam-4168	344	13	dominating	dominating	NOUN
ejpam-4168	344	14	set	set	VERB
ejpam-4168	344	15	in	in	ADP
ejpam-4168	344	16	g+h	g+h	PROPN
ejpam-4168	344	17	.	.	PUNCT
ejpam-4168	345	1	similarly	similarly	ADV
ejpam-4168	345	2	,	,	PUNCT
ejpam-4168	345	3	if	if	SCONJ
ejpam-4168	345	4	condition	condition	NOUN
ejpam-4168	345	5	(	(	PUNCT
ejpam-4168	345	6	ii	ii	NOUN
ejpam-4168	345	7	)	)	PUNCT
ejpam-4168	345	8	holds	hold	VERB
ejpam-4168	345	9	,	,	PUNCT
ejpam-4168	345	10	then	then	ADV
ejpam-4168	345	11	c	c	PROPN
ejpam-4168	345	12	is	be	AUX
ejpam-4168	345	13	a	a	DET
ejpam-4168	345	14	connected	connected	ADJ
ejpam-4168	345	15	(	(	PUNCT
ejpam-4168	345	16	α	α	X
ejpam-4168	345	17	,	,	PUNCT
ejpam-4168	345	18	k)-partial	k)-partial	ADJ
ejpam-4168	345	19	dominating	dominating	NOUN
ejpam-4168	345	20	set	set	VERB
ejpam-4168	345	21	in	in	ADP
ejpam-4168	345	22	h	h	NOUN
ejpam-4168	345	23	for	for	ADP
ejpam-4168	345	24	k	k	PROPN
ejpam-4168	345	25	=	=	SYM
ejpam-4168	345	26	(	(	PUNCT
ejpam-4168	345	27	α−	α−	ADP
ejpam-4168	345	28	1)m	1)m	NUM
ejpam-4168	345	29	and	and	CCONJ
ejpam-4168	345	30	the	the	DET
ejpam-4168	345	31	desired	desire	VERB
ejpam-4168	345	32	conclusion	conclusion	NOUN
ejpam-4168	345	33	follows	follow	VERB
ejpam-4168	345	34	.	.	PUNCT
ejpam-4168	346	1	finally	finally	ADV
ejpam-4168	346	2	,	,	PUNCT
ejpam-4168	346	3	if	if	SCONJ
ejpam-4168	346	4	condition	condition	NOUN
ejpam-4168	346	5	(	(	PUNCT
ejpam-4168	346	6	iii	iii	NOUN
ejpam-4168	346	7	)	)	PUNCT
ejpam-4168	346	8	holds	hold	VERB
ejpam-4168	346	9	,	,	PUNCT
ejpam-4168	346	10	then	then	ADV
ejpam-4168	346	11	c	c	PROPN
ejpam-4168	346	12	∩	∩	PROPN
ejpam-4168	346	13	v	v	X
ejpam-4168	346	14	(	(	PUNCT
ejpam-4168	346	15	g	g	NOUN
ejpam-4168	346	16	)	)	PUNCT
ejpam-4168	346	17	̸=	̸=	PROPN
ejpam-4168	346	18	∅	∅	NOUN
ejpam-4168	346	19	and	and	CCONJ
ejpam-4168	346	20	c	c	NOUN
ejpam-4168	346	21	∩	∩	ADJ
ejpam-4168	346	22	v	v	X
ejpam-4168	346	23	(	(	PUNCT
ejpam-4168	346	24	h	h	NOUN
ejpam-4168	346	25	)	)	PUNCT
ejpam-4168	346	26	̸=	̸=	PROPN
ejpam-4168	346	27	∅.	∅.	ADV
ejpam-4168	346	28	thus	thus	ADV
ejpam-4168	346	29	,	,	PUNCT
ejpam-4168	346	30	c	c	PROPN
ejpam-4168	346	31	is	be	AUX
ejpam-4168	346	32	a	a	DET
ejpam-4168	346	33	connected	connected	ADJ
ejpam-4168	346	34	α	α	NOUN
ejpam-4168	346	35	-	-	ADJ
ejpam-4168	346	36	partial	partial	ADJ
ejpam-4168	346	37	dominating	dominating	NOUN
ejpam-4168	346	38	set	set	VERB
ejpam-4168	346	39	in	in	ADP
ejpam-4168	346	40	g	g	PROPN
ejpam-4168	346	41	+	+	PROPN
ejpam-4168	346	42	h	h	NOUN
ejpam-4168	346	43	by	by	ADP
ejpam-4168	346	44	theorem	theorem	NOUN
ejpam-4168	346	45	4(c	4(c	NUM
ejpam-4168	346	46	)	)	PUNCT
ejpam-4168	346	47	.	.	PUNCT
ejpam-4168	347	1	corollary	corollary	ADJ
ejpam-4168	347	2	3	3	X
ejpam-4168	347	3	.	.	PUNCT
ejpam-4168	348	1	let	let	VERB
ejpam-4168	348	2	g	g	NOUN
ejpam-4168	348	3	and	and	CCONJ
ejpam-4168	348	4	h	h	NOUN
ejpam-4168	348	5	be	be	AUX
ejpam-4168	348	6	connected	connect	VERB
ejpam-4168	348	7	graphs	graph	NOUN
ejpam-4168	348	8	of	of	ADP
ejpam-4168	348	9	orders	order	NOUN
ejpam-4168	348	10	m	m	VERB
ejpam-4168	348	11	and	and	CCONJ
ejpam-4168	348	12	n	n	CCONJ
ejpam-4168	348	13	,	,	PUNCT
ejpam-4168	348	14	respectively	respectively	ADV
ejpam-4168	348	15	,	,	PUNCT
ejpam-4168	348	16	and	and	CCONJ
ejpam-4168	348	17	let	let	VERB
ejpam-4168	348	18	α	α	PRON
ejpam-4168	348	19	∈	∈	PROPN
ejpam-4168	348	20	(	(	PUNCT
ejpam-4168	348	21	0	0	NUM
ejpam-4168	348	22	,	,	PUNCT
ejpam-4168	348	23	1	1	NUM
ejpam-4168	348	24	]	]	PUNCT
ejpam-4168	348	25	.	.	PUNCT
ejpam-4168	349	1	then	then	ADV
ejpam-4168	349	2	,	,	PUNCT
ejpam-4168	349	3	∂cα(g+h	∂cα(g+h	PROPN
ejpam-4168	349	4	)	)	PUNCT
ejpam-4168	350	1	=	=	PRON
ejpam-4168	350	2	{	{	PUNCT
ejpam-4168	350	3	1	1	NUM
ejpam-4168	350	4	,	,	PUNCT
ejpam-4168	350	5	if	if	SCONJ
ejpam-4168	350	6	∂α,(α−1)n(g	∂α,(α−1)n(g	NUM
ejpam-4168	350	7	)	)	PUNCT
ejpam-4168	350	8	=	=	SYM
ejpam-4168	350	9	1	1	NUM
ejpam-4168	350	10	or	or	CCONJ
ejpam-4168	350	11	∂α,(α−1)m(h	∂α,(α−1)m(h	VERB
ejpam-4168	350	12	)	)	PUNCT
ejpam-4168	350	13	=	=	SYM
ejpam-4168	350	14	1	1	NUM
ejpam-4168	350	15	2	2	NUM
ejpam-4168	350	16	,	,	PUNCT
ejpam-4168	350	17	otherwise	otherwise	ADV
ejpam-4168	350	18	.	.	PUNCT
ejpam-4168	351	1	proof	proof	NOUN
ejpam-4168	351	2	:	:	PUNCT
ejpam-4168	351	3	suppose	suppose	VERB
ejpam-4168	351	4	that	that	SCONJ
ejpam-4168	351	5	∂α,(α−1)n(g	∂α,(α−1)n(g	X
ejpam-4168	351	6	)	)	PUNCT
ejpam-4168	351	7	=	=	SYM
ejpam-4168	352	1	1	1	X
ejpam-4168	352	2	.	.	PUNCT
ejpam-4168	353	1	let	let	VERB
ejpam-4168	353	2	x	x	SYM
ejpam-4168	353	3	∈	∈	PROPN
ejpam-4168	353	4	v	v	X
ejpam-4168	353	5	(	(	PUNCT
ejpam-4168	353	6	g	g	NOUN
ejpam-4168	353	7	)	)	PUNCT
ejpam-4168	353	8	such	such	ADJ
ejpam-4168	353	9	that	that	PRON
ejpam-4168	353	10	s	s	PART
ejpam-4168	353	11	=	=	PRON
ejpam-4168	353	12	{	{	PUNCT
ejpam-4168	353	13	x	x	NOUN
ejpam-4168	353	14	}	}	PUNCT
ejpam-4168	353	15	is	be	AUX
ejpam-4168	353	16	an	an	DET
ejpam-4168	353	17	∂α,(α−1)n	∂α,(α−1)n	NOUN
ejpam-4168	353	18	-	-	PUNCT
ejpam-4168	353	19	set	set	NOUN
ejpam-4168	353	20	in	in	ADP
ejpam-4168	353	21	g.	g.	PROPN
ejpam-4168	353	22	then	then	ADV
ejpam-4168	353	23	by	by	ADP
ejpam-4168	353	24	definition	definition	NOUN
ejpam-4168	353	25	,	,	PUNCT
ejpam-4168	353	26	|ng[s]|	|ng[s]|	PROPN
ejpam-4168	353	27	≥	≥	PUNCT
ejpam-4168	353	28	αm	αm	NOUN
ejpam-4168	354	1	+	+	CCONJ
ejpam-4168	354	2	(	(	PUNCT
ejpam-4168	354	3	α	α	NOUN
ejpam-4168	354	4	−	−	PROPN
ejpam-4168	354	5	1)n	1)n	NUM
ejpam-4168	354	6	.	.	PUNCT
ejpam-4168	355	1	now	now	ADV
ejpam-4168	355	2	,	,	PUNCT
ejpam-4168	355	3	|ng+h	|ng+h	PUNCT
ejpam-4168	356	1	[	[	X
ejpam-4168	356	2	s]|	s]|	X
ejpam-4168	356	3	=	=	SYM
ejpam-4168	356	4	n	n	PROPN
ejpam-4168	356	5	+	+	NUM
ejpam-4168	356	6	|ng[s]|	|ng[s]|	X
ejpam-4168	356	7	≥	≥	NOUN
ejpam-4168	356	8	n	n	PROPN
ejpam-4168	356	9	+	+	CCONJ
ejpam-4168	356	10	αm	αm	NOUN
ejpam-4168	356	11	+	+	CCONJ
ejpam-4168	356	12	(	(	PUNCT
ejpam-4168	356	13	α	α	NOUN
ejpam-4168	356	14	−	−	PROPN
ejpam-4168	356	15	1)n	1)n	PROPN
ejpam-4168	356	16	=	=	PUNCT
ejpam-4168	356	17	α(m	α(m	PROPN
ejpam-4168	356	18	+	+	CCONJ
ejpam-4168	356	19	n	n	CCONJ
ejpam-4168	356	20	)	)	PUNCT
ejpam-4168	356	21	,	,	PUNCT
ejpam-4168	356	22	hence	hence	ADV
ejpam-4168	356	23	s	s	VERB
ejpam-4168	356	24	is	be	AUX
ejpam-4168	356	25	both	both	PRON
ejpam-4168	356	26	an	an	DET
ejpam-4168	356	27	∂α	∂α	PROPN
ejpam-4168	356	28	-	-	PUNCT
ejpam-4168	356	29	set	set	VERB
ejpam-4168	356	30	and	and	CCONJ
ejpam-4168	356	31	a	a	DET
ejpam-4168	356	32	∂cα	∂cα	NOUN
ejpam-4168	356	33	-	-	PUNCT
ejpam-4168	356	34	set	set	NOUN
ejpam-4168	356	35	in	in	ADP
ejpam-4168	356	36	g	g	PROPN
ejpam-4168	356	37	+	+	NOUN
ejpam-4168	356	38	h	h	NOUN
ejpam-4168	356	39	and	and	CCONJ
ejpam-4168	356	40	∂cα(g+h	∂cα(g+h	NOUN
ejpam-4168	356	41	)	)	PUNCT
ejpam-4168	357	1	=	=	SYM
ejpam-4168	357	2	1	1	X
ejpam-4168	357	3	.	.	X
ejpam-4168	357	4	similarly	similarly	ADV
ejpam-4168	357	5	,	,	PUNCT
ejpam-4168	357	6	if	if	SCONJ
ejpam-4168	357	7	∂α,(α−1)n(h	∂α,(α−1)n(h	ADJ
ejpam-4168	357	8	)	)	PUNCT
ejpam-4168	357	9	=	=	SYM
ejpam-4168	357	10	1	1	NUM
ejpam-4168	357	11	then	then	ADV
ejpam-4168	357	12	∂cα(g+h	∂cα(g+h	NOUN
ejpam-4168	357	13	)	)	PUNCT
ejpam-4168	358	1	=	=	SYM
ejpam-4168	358	2	1	1	X
ejpam-4168	358	3	.	.	PUNCT
ejpam-4168	358	4	otherwise	otherwise	ADV
ejpam-4168	358	5	,	,	PUNCT
ejpam-4168	358	6	pick	pick	VERB
ejpam-4168	358	7	a	a	DET
ejpam-4168	358	8	z	z	NOUN
ejpam-4168	358	9	∈	∈	PROPN
ejpam-4168	358	10	v	v	ADP
ejpam-4168	358	11	(	(	PUNCT
ejpam-4168	358	12	g	g	NOUN
ejpam-4168	358	13	)	)	PUNCT
ejpam-4168	358	14	and	and	CCONJ
ejpam-4168	358	15	a	a	DET
ejpam-4168	358	16	y	y	PROPN
ejpam-4168	358	17	∈	∈	PROPN
ejpam-4168	358	18	v	v	PROPN
ejpam-4168	358	19	(	(	PUNCT
ejpam-4168	358	20	h	h	NOUN
ejpam-4168	358	21	)	)	PUNCT
ejpam-4168	358	22	.	.	PUNCT
ejpam-4168	359	1	clearly	clearly	ADV
ejpam-4168	359	2	,	,	PUNCT
ejpam-4168	359	3	s	s	VERB
ejpam-4168	359	4	=	=	PUNCT
ejpam-4168	359	5	{	{	PUNCT
ejpam-4168	359	6	z	z	PROPN
ejpam-4168	359	7	,	,	PUNCT
ejpam-4168	359	8	y	y	PROPN
ejpam-4168	359	9	}	}	PUNCT
ejpam-4168	359	10	is	be	AUX
ejpam-4168	359	11	a	a	DET
ejpam-4168	359	12	γc	γc	NOUN
ejpam-4168	359	13	-	-	PUNCT
ejpam-4168	359	14	set	set	ADJ
ejpam-4168	359	15	,	,	PUNCT
ejpam-4168	359	16	hence	hence	ADV
ejpam-4168	359	17	a	a	DET
ejpam-4168	359	18	∂cα	∂cα	NOUN
ejpam-4168	359	19	-	-	PUNCT
ejpam-4168	359	20	set	set	NOUN
ejpam-4168	359	21	,	,	PUNCT
ejpam-4168	359	22	in	in	ADP
ejpam-4168	359	23	g+h	g+h	PROPN
ejpam-4168	359	24	and	and	CCONJ
ejpam-4168	359	25	thus	thus	ADV
ejpam-4168	359	26	,	,	PUNCT
ejpam-4168	359	27	∂cα(g+h	∂cα(g+h	NOUN
ejpam-4168	359	28	)	)	PUNCT
ejpam-4168	360	1	=	=	SYM
ejpam-4168	360	2	2	2	X
ejpam-4168	360	3	.	.	X
ejpam-4168	360	4	theorem	theorem	NOUN
ejpam-4168	360	5	5	5	NUM
ejpam-4168	360	6	.	.	PUNCT
ejpam-4168	361	1	let	let	VERB
ejpam-4168	361	2	g	g	PRON
ejpam-4168	361	3	be	be	AUX
ejpam-4168	361	4	a	a	DET
ejpam-4168	361	5	nontrivial	nontrivial	ADJ
ejpam-4168	361	6	connected	connect	VERB
ejpam-4168	361	7	graph	graph	NOUN
ejpam-4168	361	8	of	of	ADP
ejpam-4168	361	9	order	order	NOUN
ejpam-4168	361	10	m	m	VERB
ejpam-4168	361	11	and	and	CCONJ
ejpam-4168	361	12	h	h	NOUN
ejpam-4168	361	13	be	be	VERB
ejpam-4168	361	14	any	any	DET
ejpam-4168	361	15	graph	graph	NOUN
ejpam-4168	361	16	of	of	ADP
ejpam-4168	361	17	order	order	NOUN
ejpam-4168	361	18	n.	n.	NOUN
ejpam-4168	361	19	let	let	VERB
ejpam-4168	361	20	α	α	PRON
ejpam-4168	361	21	∈	∈	PROPN
ejpam-4168	361	22	(	(	PUNCT
ejpam-4168	361	23	0	0	NUM
ejpam-4168	361	24	,	,	PUNCT
ejpam-4168	361	25	1	1	NUM
ejpam-4168	361	26	]	]	PUNCT
ejpam-4168	361	27	and	and	CCONJ
ejpam-4168	361	28	c	c	PROPN
ejpam-4168	361	29	⊆	⊆	NUM
ejpam-4168	361	30	v	v	NOUN
ejpam-4168	361	31	(	(	PUNCT
ejpam-4168	361	32	g	g	PROPN
ejpam-4168	361	33	◦	◦	NOUN
ejpam-4168	361	34	h	h	NOUN
ejpam-4168	361	35	)	)	PUNCT
ejpam-4168	361	36	.	.	PUNCT
ejpam-4168	362	1	if	if	SCONJ
ejpam-4168	362	2	c	c	PROPN
ejpam-4168	362	3	⊆	⊆	NUM
ejpam-4168	362	4	v	v	X
ejpam-4168	362	5	(	(	PUNCT
ejpam-4168	362	6	g	g	NOUN
ejpam-4168	362	7	)	)	PUNCT
ejpam-4168	362	8	where	where	SCONJ
ejpam-4168	362	9	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	362	10	is	be	AUX
ejpam-4168	362	11	connected	connect	VERB
ejpam-4168	362	12	and	and	CCONJ
ejpam-4168	362	13	either	either	CCONJ
ejpam-4168	362	14	c	c	PROPN
ejpam-4168	362	15	is	be	AUX
ejpam-4168	362	16	a	a	DET
ejpam-4168	362	17	dominating	dominating	NOUN
ejpam-4168	362	18	set	set	NOUN
ejpam-4168	362	19	in	in	ADP
ejpam-4168	362	20	g	g	PROPN
ejpam-4168	362	21	and	and	CCONJ
ejpam-4168	362	22	|c|	|c|	PROPN
ejpam-4168	362	23	≥	≥	NOUN
ejpam-4168	362	24	αm(n+	αm(n+	PROPN
ejpam-4168	362	25	1)−m	1)−m	NUM
ejpam-4168	362	26	n	n	ADP
ejpam-4168	362	27	or	or	CCONJ
ejpam-4168	362	28	|c|	|c|	PROPN
ejpam-4168	362	29	≥	≥	NUM
ejpam-4168	362	30	αm	αm	ADV
ejpam-4168	362	31	,	,	PUNCT
ejpam-4168	362	32	then	then	ADV
ejpam-4168	362	33	c	c	PROPN
ejpam-4168	362	34	is	be	AUX
ejpam-4168	362	35	a	a	DET
ejpam-4168	362	36	connected	connected	ADJ
ejpam-4168	362	37	α	α	NOUN
ejpam-4168	362	38	-	-	ADJ
ejpam-4168	362	39	partial	partial	ADJ
ejpam-4168	362	40	dominating	dominating	NOUN
ejpam-4168	362	41	set	set	VERB
ejpam-4168	362	42	in	in	ADP
ejpam-4168	362	43	g	g	PROPN
ejpam-4168	362	44	◦	◦	NOUN
ejpam-4168	362	45	h.	h.	NOUN
ejpam-4168	362	46	proof	proof	NOUN
ejpam-4168	362	47	:	:	PUNCT
ejpam-4168	362	48	since	since	SCONJ
ejpam-4168	362	49	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	362	50	is	be	AUX
ejpam-4168	362	51	connected	connect	VERB
ejpam-4168	362	52	,	,	PUNCT
ejpam-4168	362	53	it	it	PRON
ejpam-4168	362	54	remains	remain	VERB
ejpam-4168	362	55	to	to	PART
ejpam-4168	362	56	show	show	VERB
ejpam-4168	362	57	that	that	SCONJ
ejpam-4168	362	58	c	c	PROPN
ejpam-4168	362	59	is	be	AUX
ejpam-4168	362	60	an	an	DET
ejpam-4168	362	61	α	α	NOUN
ejpam-4168	362	62	-	-	ADJ
ejpam-4168	362	63	partial	partial	ADJ
ejpam-4168	362	64	dominating	dominating	NOUN
ejpam-4168	362	65	set	set	VERB
ejpam-4168	362	66	in	in	ADP
ejpam-4168	362	67	g	g	PROPN
ejpam-4168	362	68	◦	◦	NOUN
ejpam-4168	362	69	h.	h.	PROPN
ejpam-4168	362	70	suppose	suppose	VERB
ejpam-4168	362	71	that	that	SCONJ
ejpam-4168	362	72	c	c	PROPN
ejpam-4168	362	73	is	be	AUX
ejpam-4168	362	74	a	a	DET
ejpam-4168	362	75	dominating	dominating	NOUN
ejpam-4168	362	76	set	set	NOUN
ejpam-4168	362	77	in	in	ADP
ejpam-4168	362	78	g	g	PROPN
ejpam-4168	362	79	and	and	CCONJ
ejpam-4168	362	80	|c|	|c|	PROPN
ejpam-4168	362	81	≥	≥	NOUN
ejpam-4168	362	82	αm(n+	αm(n+	PROPN
ejpam-4168	362	83	1)−m	1)−m	NUM
ejpam-4168	362	84	n	n	NOUN
ejpam-4168	362	85	.	.	PUNCT
ejpam-4168	363	1	then	then	ADV
ejpam-4168	363	2	,	,	PUNCT
ejpam-4168	363	3	|ng	|ng	NOUN
ejpam-4168	363	4	◦	◦	NOUN
ejpam-4168	363	5	h	h	NOUN
ejpam-4168	364	1	[	[	X
ejpam-4168	364	2	c]|	c]|	PROPN
ejpam-4168	364	3	=	=	SYM
ejpam-4168	364	4	|c|n+m	|c|n+m	PROPN
ejpam-4168	364	5	≥αm(n+	≥αm(n+	PROPN
ejpam-4168	364	6	1)−m	1)−m	NUM
ejpam-4168	364	7	n	n	PROPN
ejpam-4168	364	8	·	·	PUNCT
ejpam-4168	364	9	n+m	n+m	NUM
ejpam-4168	365	1	=	=	X
ejpam-4168	365	2	αm(n+	αm(n+	PROPN
ejpam-4168	365	3	1)−m+m	1)−m+m	NUM
ejpam-4168	365	4	=	=	SYM
ejpam-4168	365	5	αm(n+	αm(n+	PROPN
ejpam-4168	365	6	1	1	NUM
ejpam-4168	365	7	)	)	PUNCT
ejpam-4168	365	8	=	=	X
ejpam-4168	365	9	α|v	α|v	X
ejpam-4168	365	10	(	(	PUNCT
ejpam-4168	365	11	g	g	PROPN
ejpam-4168	365	12	◦	◦	NOUN
ejpam-4168	365	13	h)|	h)|	NOUN
ejpam-4168	365	14	.	.	PUNCT
ejpam-4168	366	1	next	next	ADV
ejpam-4168	366	2	,	,	PUNCT
ejpam-4168	366	3	suppose	suppose	VERB
ejpam-4168	366	4	that	that	SCONJ
ejpam-4168	366	5	c	c	PROPN
ejpam-4168	366	6	⊆	⊆	NUM
ejpam-4168	366	7	v	v	ADP
ejpam-4168	366	8	(	(	PUNCT
ejpam-4168	366	9	g	g	NOUN
ejpam-4168	366	10	)	)	PUNCT
ejpam-4168	366	11	with	with	ADP
ejpam-4168	366	12	|c|	|c|	PROPN
ejpam-4168	366	13	≥	≥	NUM
ejpam-4168	366	14	αm	αm	NOUN
ejpam-4168	366	15	.	.	PUNCT
ejpam-4168	367	1	then	then	ADV
ejpam-4168	367	2	,	,	PUNCT
ejpam-4168	367	3	since	since	SCONJ
ejpam-4168	367	4	|ng[c]|	|ng[c]|	PROPN
ejpam-4168	367	5	≥	≥	PROPN
ejpam-4168	367	6	|c|	|c|	PROPN
ejpam-4168	367	7	,	,	PUNCT
ejpam-4168	367	8	|ng	|ng	NOUN
ejpam-4168	367	9	◦	◦	NOUN
ejpam-4168	367	10	h	h	NOUN
ejpam-4168	367	11	[	[	X
ejpam-4168	367	12	c]|	c]|	NOUN
ejpam-4168	367	13	=	=	AUX
ejpam-4168	367	14	|c|n+	|c|n+	NOUN
ejpam-4168	367	15	|ng[c]|	|ng[c]|	NOUN
ejpam-4168	367	16	≥αmn+	≥αmn+	NOUN
ejpam-4168	367	17	αm	αm	NOUN
ejpam-4168	367	18	=	=	NOUN
ejpam-4168	367	19	αm(n+	αm(n+	PROPN
ejpam-4168	367	20	1	1	NUM
ejpam-4168	367	21	)	)	PUNCT
ejpam-4168	367	22	=	=	PRON
ejpam-4168	367	23	α|v	α|v	PROPN
ejpam-4168	367	24	(	(	PUNCT
ejpam-4168	367	25	g	g	PROPN
ejpam-4168	367	26	◦	◦	NOUN
ejpam-4168	367	27	h)|	h)|	NOUN
ejpam-4168	367	28	.	.	PUNCT
ejpam-4168	368	1	so	so	ADV
ejpam-4168	368	2	,	,	PUNCT
ejpam-4168	368	3	in	in	ADP
ejpam-4168	368	4	either	either	DET
ejpam-4168	368	5	case	case	NOUN
ejpam-4168	368	6	,	,	PUNCT
ejpam-4168	368	7	c	c	PROPN
ejpam-4168	368	8	is	be	AUX
ejpam-4168	368	9	a	a	DET
ejpam-4168	368	10	connected	connected	ADJ
ejpam-4168	368	11	α	α	NOUN
ejpam-4168	368	12	-	-	ADJ
ejpam-4168	368	13	partial	partial	ADJ
ejpam-4168	368	14	dominating	dominating	NOUN
ejpam-4168	368	15	set	set	VERB
ejpam-4168	368	16	in	in	ADP
ejpam-4168	368	17	g	g	PROPN
ejpam-4168	368	18	◦	◦	NOUN
ejpam-4168	368	19	h.	h.	PROPN
ejpam-4168	368	20	j.m	j.m	PROPN
ejpam-4168	368	21	.	.	PROPN
ejpam-4168	368	22	cabulao	cabulao	PROPN
ejpam-4168	368	23	,	,	PUNCT
ejpam-4168	368	24	r.	r.	PROPN
ejpam-4168	368	25	isla	isla	PROPN
ejpam-4168	368	26	/	/	SYM
ejpam-4168	368	27	eur	eur	PROPN
ejpam-4168	368	28	.	.	PUNCT
ejpam-4168	369	1	j.	j.	PROPN
ejpam-4168	369	2	pure	pure	PROPN
ejpam-4168	369	3	appl	appl	PROPN
ejpam-4168	369	4	.	.	PROPN
ejpam-4168	369	5	math	math	PROPN
ejpam-4168	369	6	,	,	PUNCT
ejpam-4168	369	7	14	14	NUM
ejpam-4168	369	8	(	(	PUNCT
ejpam-4168	369	9	4	4	NUM
ejpam-4168	369	10	)	)	PUNCT
ejpam-4168	369	11	(	(	PUNCT
ejpam-4168	369	12	2021	2021	NUM
ejpam-4168	369	13	)	)	PUNCT
ejpam-4168	369	14	,	,	PUNCT
ejpam-4168	369	15	1490	1490	NUM
ejpam-4168	369	16	-	-	SYM
ejpam-4168	369	17	1506	1506	NUM
ejpam-4168	369	18	1499	1499	NUM
ejpam-4168	369	19	example	example	NOUN
ejpam-4168	369	20	2	2	NUM
ejpam-4168	369	21	.	.	X
ejpam-4168	369	22	consider	consider	VERB
ejpam-4168	369	23	the	the	DET
ejpam-4168	369	24	corona	corona	NOUN
ejpam-4168	369	25	p4	p4	PROPN
ejpam-4168	369	26	◦	◦	NOUN
ejpam-4168	369	27	p4	p4	ADJ
ejpam-4168	369	28	and	and	CCONJ
ejpam-4168	369	29	p4	p4	ADJ
ejpam-4168	369	30	◦	◦	NOUN
ejpam-4168	369	31	c4	c4	NOUN
ejpam-4168	369	32	in	in	ADP
ejpam-4168	369	33	figure	figure	NOUN
ejpam-4168	369	34	7	7	NUM
ejpam-4168	369	35	.	.	PUNCT
ejpam-4168	370	1	let	let	VERB
ejpam-4168	370	2	α	α	NOUN
ejpam-4168	370	3	=	=	SYM
ejpam-4168	370	4	1	1	NUM
ejpam-4168	370	5	2	2	NUM
ejpam-4168	370	6	.	.	PUNCT
ejpam-4168	371	1	let	let	VERB
ejpam-4168	371	2	s1	s1	PROPN
ejpam-4168	371	3	=	=	PUNCT
ejpam-4168	371	4	{	{	PUNCT
ejpam-4168	371	5	a	a	PRON
ejpam-4168	371	6	,	,	PUNCT
ejpam-4168	371	7	b	b	NOUN
ejpam-4168	371	8	}	}	PUNCT
ejpam-4168	371	9	⊆	⊆	NUM
ejpam-4168	371	10	v	v	NOUN
ejpam-4168	371	11	(	(	PUNCT
ejpam-4168	371	12	p4	p4	ADJ
ejpam-4168	371	13	)	)	PUNCT
ejpam-4168	371	14	and	and	CCONJ
ejpam-4168	371	15	s2	s2	NOUN
ejpam-4168	371	16	=	=	SYM
ejpam-4168	371	17	{	{	PUNCT
ejpam-4168	371	18	v	v	NOUN
ejpam-4168	371	19	,	,	PUNCT
ejpam-4168	371	20	w	w	NOUN
ejpam-4168	371	21	}	}	PUNCT
ejpam-4168	371	22	⊆	⊆	NUM
ejpam-4168	371	23	v	v	NOUN
ejpam-4168	371	24	(	(	PUNCT
ejpam-4168	371	25	p4	p4	ADJ
ejpam-4168	371	26	)	)	PUNCT
ejpam-4168	371	27	,	,	PUNCT
ejpam-4168	371	28	where	where	SCONJ
ejpam-4168	371	29	⟨s1⟩	⟨s1⟩	NOUN
ejpam-4168	371	30	and	and	CCONJ
ejpam-4168	371	31	⟨s2⟩	⟨s2⟩	NOUN
ejpam-4168	371	32	are	be	AUX
ejpam-4168	371	33	connected	connect	VERB
ejpam-4168	371	34	.	.	PUNCT
ejpam-4168	372	1	now	now	ADV
ejpam-4168	372	2	,	,	PUNCT
ejpam-4168	372	3	s1	s1	PROPN
ejpam-4168	372	4	is	be	AUX
ejpam-4168	372	5	not	not	PART
ejpam-4168	372	6	a	a	DET
ejpam-4168	372	7	dominating	dominating	NOUN
ejpam-4168	372	8	set	set	VERB
ejpam-4168	372	9	in	in	ADP
ejpam-4168	372	10	p4	p4	ADJ
ejpam-4168	372	11	but	but	CCONJ
ejpam-4168	372	12	|s1|	|s1|	NOUN
ejpam-4168	372	13	=	=	SYM
ejpam-4168	372	14	2	2	NUM
ejpam-4168	372	15	≥	≥	NOUN
ejpam-4168	372	16	αm	αm	NOUN
ejpam-4168	372	17	,	,	PUNCT
ejpam-4168	372	18	while	while	SCONJ
ejpam-4168	372	19	s2	s2	NOUN
ejpam-4168	372	20	is	be	AUX
ejpam-4168	372	21	a	a	DET
ejpam-4168	372	22	dominating	dominating	NOUN
ejpam-4168	372	23	set	set	VERB
ejpam-4168	372	24	in	in	ADP
ejpam-4168	372	25	p4	p4	ADJ
ejpam-4168	372	26	and	and	CCONJ
ejpam-4168	372	27	|s2|	|s2|	NOUN
ejpam-4168	372	28	=	=	SYM
ejpam-4168	372	29	2	2	NUM
ejpam-4168	372	30	≥	≥	NOUN
ejpam-4168	372	31	3	3	NUM
ejpam-4168	372	32	2	2	NUM
ejpam-4168	372	33	=	=	SYM
ejpam-4168	372	34	αm(n+	αm(n+	PROPN
ejpam-4168	372	35	1)−m	1)−m	NUM
ejpam-4168	372	36	n	n	NOUN
ejpam-4168	372	37	.	.	PUNCT
ejpam-4168	373	1	that	that	PRON
ejpam-4168	373	2	s1	s1	PROPN
ejpam-4168	373	3	and	and	CCONJ
ejpam-4168	373	4	s2	s2	PROPN
ejpam-4168	373	5	are	be	AUX
ejpam-4168	373	6	connected	connect	VERB
ejpam-4168	373	7	α	α	DET
ejpam-4168	373	8	-	-	ADJ
ejpam-4168	373	9	partial	partial	ADJ
ejpam-4168	373	10	dominating	dominating	NOUN
ejpam-4168	373	11	sets	set	NOUN
ejpam-4168	373	12	in	in	ADP
ejpam-4168	373	13	p4	p4	ADJ
ejpam-4168	373	14	◦	◦	NOUN
ejpam-4168	373	15	p4	p4	ADJ
ejpam-4168	373	16	and	and	CCONJ
ejpam-4168	373	17	p4	p4	ADJ
ejpam-4168	373	18	◦	◦	NOUN
ejpam-4168	373	19	c4	c4	NOUN
ejpam-4168	373	20	,	,	PUNCT
ejpam-4168	373	21	respectively	respectively	ADV
ejpam-4168	373	22	,	,	PUNCT
ejpam-4168	373	23	verifies	verifie	NOUN
ejpam-4168	373	24	theorem	theorem	VERB
ejpam-4168	373	25	5	5	NUM
ejpam-4168	373	26	.	.	PUNCT
ejpam-4168	373	27	.........	.........	PUNCT
ejpam-4168	373	28	........	........	PUNCT
ejpam-4168	373	29	........	........	PUNCT
ejpam-4168	373	30	........	........	PUNCT
ejpam-4168	373	31	........	........	PUNCT
ejpam-4168	373	32	........	........	PUNCT
ejpam-4168	373	33	........	........	PUNCT
ejpam-4168	373	34	........	........	PUNCT
ejpam-4168	373	35	........	........	PUNCT
ejpam-4168	373	36	...	...	PUNCT
ejpam-4168	374	1	....................................	....................................	PUNCT
ejpam-4168	374	2	....................................	....................................	PUNCT
ejpam-4168	375	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	375	2	.........	.........	PUNCT
ejpam-4168	376	1	........	........	PUNCT
ejpam-4168	376	2	........	........	PUNCT
ejpam-4168	376	3	........	........	PUNCT
ejpam-4168	376	4	........	........	PUNCT
ejpam-4168	376	5	........	........	PUNCT
ejpam-4168	376	6	........	........	PUNCT
ejpam-4168	376	7	........	........	PUNCT
ejpam-4168	376	8	........	........	PUNCT
ejpam-4168	376	9	...	...	PUNCT
ejpam-4168	377	1	....................................	....................................	PUNCT
ejpam-4168	377	2	................................................	................................................	PUNCT
ejpam-4168	377	3	...........	...........	PUNCT
ejpam-4168	377	4	.......	.......	PUNCT
ejpam-4168	377	5	....................................	....................................	PUNCT
ejpam-4168	377	6	............	............	PUNCT
ejpam-4168	377	7	...........	...........	PUNCT
ejpam-4168	377	8	.......	.......	PUNCT
ejpam-4168	377	9	....................................	....................................	PUNCT
ejpam-4168	377	10	............	............	PUNCT
ejpam-4168	377	11	...........	...........	PUNCT
ejpam-4168	377	12	.......	.......	PUNCT
ejpam-4168	377	13	....................................	....................................	PUNCT
ejpam-4168	378	1	....................................	....................................	PUNCT
ejpam-4168	378	2	................................................................	................................................................	PUNCT
ejpam-4168	378	3	.........................................	.........................................	PUNCT
ejpam-4168	378	4	.............................................................................	.............................................................................	PUNCT
ejpam-4168	378	5	..............................................................	..............................................................	PUNCT
ejpam-4168	378	6	...................................................................	...................................................................	PUNCT
ejpam-4168	378	7	..............................	..............................	PUNCT
ejpam-4168	379	1	....................................	....................................	PUNCT
ejpam-4168	379	2	..............................	..............................	PUNCT
ejpam-4168	380	1	....................................	....................................	PUNCT
ejpam-4168	380	2	..............................	..............................	PUNCT
ejpam-4168	381	1	....................................	....................................	PUNCT
ejpam-4168	381	2	....................................	....................................	PUNCT
ejpam-4168	382	1	.........................................................................................................	.........................................................................................................	PUNCT
ejpam-4168	382	2	................................................	................................................	PUNCT
ejpam-4168	382	3	...........................................	...........................................	PUNCT
ejpam-4168	382	4	.............	.............	PUNCT
ejpam-4168	382	5	.............	.............	PUNCT
ejpam-4168	382	6	.............	.............	PUNCT
ejpam-4168	383	1	.........	.........	PUNCT
ejpam-4168	383	2	..........	..........	PUNCT
ejpam-4168	384	1	.........	.........	PUNCT
ejpam-4168	384	2	.........	.........	PUNCT
ejpam-4168	385	1	.........	.........	PUNCT
ejpam-4168	385	2	.........	.........	PUNCT
ejpam-4168	386	1	.........	.........	PUNCT
ejpam-4168	386	2	.........	.........	PUNCT
ejpam-4168	386	3	...	...	PUNCT
ejpam-4168	386	4	..............................	..............................	PUNCT
ejpam-4168	387	1	....................................	....................................	PUNCT
ejpam-4168	387	2	..............................	..............................	PUNCT
ejpam-4168	388	1	....................................	....................................	PUNCT
ejpam-4168	388	2	..............................	..............................	PUNCT
ejpam-4168	389	1	....................................	....................................	PUNCT
ejpam-4168	389	2	....................................	....................................	PUNCT
ejpam-4168	390	1	.........................................................................................................	.........................................................................................................	PUNCT
ejpam-4168	390	2	................................................	................................................	PUNCT
ejpam-4168	390	3	.............................	.............................	PUNCT
ejpam-4168	391	1	..............	..............	PUNCT
ejpam-4168	391	2	.............	.............	PUNCT
ejpam-4168	391	3	.............	.............	PUNCT
ejpam-4168	391	4	.............	.............	PUNCT
ejpam-4168	391	5	.........	.........	PUNCT
ejpam-4168	392	1	..........	..........	PUNCT
ejpam-4168	392	2	.........	.........	PUNCT
ejpam-4168	393	1	.........	.........	PUNCT
ejpam-4168	393	2	.........	.........	PUNCT
ejpam-4168	394	1	.........	.........	PUNCT
ejpam-4168	394	2	.........	.........	PUNCT
ejpam-4168	395	1	.........	.........	PUNCT
ejpam-4168	395	2	...	...	PUNCT
ejpam-4168	395	3	............	............	PUNCT
ejpam-4168	395	4	...........	...........	PUNCT
ejpam-4168	395	5	.......	.......	PUNCT
ejpam-4168	395	6	....................................	....................................	PUNCT
ejpam-4168	395	7	............	............	PUNCT
ejpam-4168	395	8	...........	...........	PUNCT
ejpam-4168	395	9	.......	.......	PUNCT
ejpam-4168	395	10	....................................	....................................	PUNCT
ejpam-4168	395	11	............	............	PUNCT
ejpam-4168	395	12	...........	...........	PUNCT
ejpam-4168	395	13	.......	.......	PUNCT
ejpam-4168	395	14	....................................	....................................	PUNCT
ejpam-4168	396	1	....................................	....................................	PUNCT
ejpam-4168	396	2	................................................................	................................................................	PUNCT
ejpam-4168	396	3	.........................................	.........................................	PUNCT
ejpam-4168	396	4	.............................................................................	.............................................................................	PUNCT
ejpam-4168	396	5	..............................................................	..............................................................	PUNCT
ejpam-4168	396	6	...................................................................	...................................................................	PUNCT
ejpam-4168	396	7	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	396	8	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	396	9	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	396	10	....................................	....................................	PUNCT
ejpam-4168	397	1	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	397	2	.........	.........	PUNCT
ejpam-4168	398	1	........	........	PUNCT
ejpam-4168	398	2	........	........	PUNCT
ejpam-4168	398	3	........	........	PUNCT
ejpam-4168	398	4	........	........	PUNCT
ejpam-4168	399	1	......	......	PUNCT
ejpam-4168	399	2	....................................	....................................	PUNCT
ejpam-4168	400	1	........................................................................................................	........................................................................................................	PUNCT
ejpam-4168	400	2	....................................	....................................	PUNCT
ejpam-4168	401	1	.........	.........	PUNCT
ejpam-4168	401	2	........	........	PUNCT
ejpam-4168	401	3	........	........	PUNCT
ejpam-4168	401	4	........	........	PUNCT
ejpam-4168	401	5	........	........	PUNCT
ejpam-4168	402	1	......	......	PUNCT
ejpam-4168	402	2	....................................	....................................	PUNCT
ejpam-4168	403	1	...........................................................................................................	...........................................................................................................	PUNCT
ejpam-4168	403	2	............	............	PUNCT
ejpam-4168	403	3	...........	...........	PUNCT
ejpam-4168	403	4	...........	...........	PUNCT
ejpam-4168	403	5	...........	...........	PUNCT
ejpam-4168	403	6	...........	...........	PUNCT
ejpam-4168	403	7	...........	...........	PUNCT
ejpam-4168	403	8	....	....	PUNCT
ejpam-4168	404	1	..........	..........	PUNCT
ejpam-4168	404	2	.........	.........	PUNCT
ejpam-4168	405	1	.........	.........	PUNCT
ejpam-4168	405	2	.........	.........	PUNCT
ejpam-4168	406	1	.........	.........	PUNCT
ejpam-4168	406	2	.........	.........	PUNCT
ejpam-4168	407	1	.........	.........	PUNCT
ejpam-4168	407	2	.........	.........	PUNCT
ejpam-4168	408	1	.........	.........	PUNCT
ejpam-4168	408	2	.........	.........	PUNCT
ejpam-4168	409	1	.........	.........	PUNCT
ejpam-4168	409	2	.........	.........	PUNCT
ejpam-4168	410	1	...............................................................................................................................	...............................................................................................................................	PUNCT
ejpam-4168	410	2	.........	.........	PUNCT
ejpam-4168	410	3	........	........	PUNCT
ejpam-4168	410	4	........	........	PUNCT
ejpam-4168	410	5	........	........	PUNCT
ejpam-4168	410	6	........	........	PUNCT
ejpam-4168	411	1	......	......	PUNCT
ejpam-4168	411	2	....................................	....................................	PUNCT
ejpam-4168	412	1	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	412	2	.........	.........	PUNCT
ejpam-4168	413	1	........	........	PUNCT
ejpam-4168	413	2	........	........	PUNCT
ejpam-4168	413	3	........	........	PUNCT
ejpam-4168	413	4	........	........	PUNCT
ejpam-4168	414	1	......	......	PUNCT
ejpam-4168	414	2	....................................	....................................	PUNCT
ejpam-4168	415	1	........................................................................................................	........................................................................................................	PUNCT
ejpam-4168	415	2	...............................................................................................................................................	...............................................................................................................................................	PUNCT
ejpam-4168	416	1	................................................................................................................................	................................................................................................................................	PUNCT
ejpam-4168	416	2	.........	.........	PUNCT
ejpam-4168	417	1	.........	.........	PUNCT
ejpam-4168	417	2	.........	.........	PUNCT
ejpam-4168	418	1	.........	.........	PUNCT
ejpam-4168	418	2	.........	.........	PUNCT
ejpam-4168	419	1	.........	.........	PUNCT
ejpam-4168	419	2	.........	.........	PUNCT
ejpam-4168	420	1	.........	.........	PUNCT
ejpam-4168	420	2	.........	.........	PUNCT
ejpam-4168	421	1	.........	.........	PUNCT
ejpam-4168	421	2	.........	.........	PUNCT
ejpam-4168	422	1	.........	.........	PUNCT
ejpam-4168	422	2	............	............	PUNCT
ejpam-4168	422	3	...........	...........	PUNCT
ejpam-4168	422	4	...........	...........	PUNCT
ejpam-4168	422	5	...........	...........	PUNCT
ejpam-4168	422	6	...........	...........	PUNCT
ejpam-4168	422	7	...........	...........	PUNCT
ejpam-4168	422	8	....	....	PUNCT
ejpam-4168	422	9	.........	.........	PUNCT
ejpam-4168	422	10	........	........	PUNCT
ejpam-4168	422	11	........	........	PUNCT
ejpam-4168	422	12	........	........	PUNCT
ejpam-4168	422	13	........	........	PUNCT
ejpam-4168	423	1	......	......	PUNCT
ejpam-4168	423	2	....................................	....................................	PUNCT
ejpam-4168	424	1	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	424	2	.........	.........	PUNCT
ejpam-4168	425	1	........	........	PUNCT
ejpam-4168	425	2	........	........	PUNCT
ejpam-4168	425	3	........	........	PUNCT
ejpam-4168	425	4	........	........	PUNCT
ejpam-4168	426	1	......	......	PUNCT
ejpam-4168	426	2	....................................	....................................	PUNCT
ejpam-4168	427	1	........................................................................................................	........................................................................................................	PUNCT
ejpam-4168	427	2	........................................................................	........................................................................	PUNCT
ejpam-4168	427	3	............	............	PUNCT
ejpam-4168	427	4	...........	...........	PUNCT
ejpam-4168	427	5	...........	...........	PUNCT
ejpam-4168	427	6	...........	...........	PUNCT
ejpam-4168	427	7	...........	...........	PUNCT
ejpam-4168	427	8	...........	...........	PUNCT
ejpam-4168	427	9	....	....	PUNCT
ejpam-4168	428	1	..........	..........	PUNCT
ejpam-4168	428	2	.........	.........	PUNCT
ejpam-4168	429	1	.........	.........	PUNCT
ejpam-4168	429	2	.........	.........	PUNCT
ejpam-4168	430	1	.........	.........	PUNCT
ejpam-4168	430	2	.........	.........	PUNCT
ejpam-4168	431	1	.........	.........	PUNCT
ejpam-4168	431	2	.........	.........	PUNCT
ejpam-4168	432	1	.........	.........	PUNCT
ejpam-4168	432	2	.........	.........	PUNCT
ejpam-4168	433	1	.........	.........	PUNCT
ejpam-4168	433	2	.........	.........	PUNCT
ejpam-4168	433	3	...............................................................................................................................	...............................................................................................................................	INTJ
ejpam-4168	433	4	.......................................................................	.......................................................................	PUNCT
ejpam-4168	433	5	.........	.........	PUNCT
ejpam-4168	433	6	........	........	PUNCT
ejpam-4168	433	7	........	........	PUNCT
ejpam-4168	433	8	........	........	PUNCT
ejpam-4168	433	9	........	........	PUNCT
ejpam-4168	434	1	......	......	PUNCT
ejpam-4168	434	2	....................................	....................................	PUNCT
ejpam-4168	435	1	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	435	2	.........	.........	PUNCT
ejpam-4168	436	1	........	........	PUNCT
ejpam-4168	436	2	........	........	PUNCT
ejpam-4168	436	3	........	........	PUNCT
ejpam-4168	436	4	........	........	PUNCT
ejpam-4168	437	1	......	......	PUNCT
ejpam-4168	437	2	....................................	....................................	PUNCT
ejpam-4168	438	1	........................................................................................................	........................................................................................................	PUNCT
ejpam-4168	438	2	........................................................................	........................................................................	PUNCT
ejpam-4168	438	3	............	............	PUNCT
ejpam-4168	438	4	...........	...........	PUNCT
ejpam-4168	438	5	...........	...........	PUNCT
ejpam-4168	438	6	...........	...........	PUNCT
ejpam-4168	438	7	...........	...........	PUNCT
ejpam-4168	438	8	...........	...........	PUNCT
ejpam-4168	438	9	....	....	PUNCT
ejpam-4168	439	1	..........	..........	PUNCT
ejpam-4168	439	2	.........	.........	PUNCT
ejpam-4168	440	1	.........	.........	PUNCT
ejpam-4168	440	2	.........	.........	PUNCT
ejpam-4168	441	1	.........	.........	PUNCT
ejpam-4168	441	2	.........	.........	PUNCT
ejpam-4168	442	1	.........	.........	PUNCT
ejpam-4168	442	2	.........	.........	PUNCT
ejpam-4168	443	1	.........	.........	PUNCT
ejpam-4168	443	2	.........	.........	PUNCT
ejpam-4168	444	1	.........	.........	PUNCT
ejpam-4168	444	2	.........	.........	PUNCT
ejpam-4168	445	1	...............................................................................................................................	...............................................................................................................................	INTJ
ejpam-4168	445	2	.......................................................................	.......................................................................	PUNCT
ejpam-4168	446	1	p4	p4	ADJ
ejpam-4168	446	2	◦	◦	NOUN
ejpam-4168	446	3	p4	p4	ADJ
ejpam-4168	446	4	p4	p4	ADJ
ejpam-4168	446	5	◦	◦	NOUN
ejpam-4168	446	6	c4	c4	NOUN
ejpam-4168	446	7	a	a	DET
ejpam-4168	446	8	b	b	PROPN
ejpam-4168	446	9	v	v	NUM
ejpam-4168	446	10	w	w	NOUN
ejpam-4168	446	11	•	•	NUM
ejpam-4168	446	12	•	•	NUM
ejpam-4168	446	13	•	•	NOUN
ejpam-4168	446	14	•	•	NUM
ejpam-4168	446	15	figure	figure	NOUN
ejpam-4168	446	16	7	7	NUM
ejpam-4168	446	17	:	:	PUNCT
ejpam-4168	446	18	connected	connect	VERB
ejpam-4168	446	19	1	1	NUM
ejpam-4168	446	20	2	2	NUM
ejpam-4168	446	21	-partial	-partial	ADJ
ejpam-4168	446	22	dominating	dominating	NOUN
ejpam-4168	446	23	sets	set	NOUN
ejpam-4168	446	24	in	in	ADP
ejpam-4168	446	25	p4	p4	ADJ
ejpam-4168	446	26	◦	◦	NOUN
ejpam-4168	446	27	p4	p4	ADJ
ejpam-4168	446	28	and	and	CCONJ
ejpam-4168	446	29	p4	p4	ADJ
ejpam-4168	446	30	◦	◦	NOUN
ejpam-4168	446	31	c4	c4	NOUN
ejpam-4168	446	32	,	,	PUNCT
ejpam-4168	446	33	respectively	respectively	ADV
ejpam-4168	446	34	remark	remark	NOUN
ejpam-4168	446	35	8	8	NUM
ejpam-4168	446	36	.	.	PUNCT
ejpam-4168	447	1	the	the	DET
ejpam-4168	447	2	converse	converse	NOUN
ejpam-4168	447	3	of	of	ADP
ejpam-4168	447	4	theorem	theorem	NOUN
ejpam-4168	447	5	5	5	NUM
ejpam-4168	447	6	is	be	AUX
ejpam-4168	447	7	not	not	PART
ejpam-4168	447	8	true	true	ADJ
ejpam-4168	447	9	.	.	PUNCT
ejpam-4168	448	1	to	to	PART
ejpam-4168	448	2	see	see	VERB
ejpam-4168	448	3	this	this	PRON
ejpam-4168	448	4	,	,	PUNCT
ejpam-4168	448	5	consider	consider	VERB
ejpam-4168	448	6	the	the	DET
ejpam-4168	448	7	graph	graph	NOUN
ejpam-4168	448	8	p4	p4	ADJ
ejpam-4168	448	9	◦	◦	NOUN
ejpam-4168	448	10	h	h	NOUN
ejpam-4168	448	11	where	where	SCONJ
ejpam-4168	448	12	h	h	NOUN
ejpam-4168	448	13	=	=	NOUN
ejpam-4168	448	14	p2	p2	PROPN
ejpam-4168	448	15	∪	∪	PROPN
ejpam-4168	448	16	p1	p1	NOUN
ejpam-4168	448	17	in	in	ADP
ejpam-4168	448	18	figure	figure	NOUN
ejpam-4168	448	19	8	8	NUM
ejpam-4168	448	20	.	.	PUNCT
ejpam-4168	449	1	let	let	VERB
ejpam-4168	449	2	α	α	NOUN
ejpam-4168	449	3	=	=	SYM
ejpam-4168	449	4	3	3	NUM
ejpam-4168	449	5	16	16	NUM
ejpam-4168	449	6	.	.	PUNCT
ejpam-4168	450	1	the	the	DET
ejpam-4168	450	2	shaded	shade	VERB
ejpam-4168	450	3	vertices	vertex	NOUN
ejpam-4168	450	4	form	form	VERB
ejpam-4168	450	5	a	a	DET
ejpam-4168	450	6	connected	connected	ADJ
ejpam-4168	450	7	α	α	NOUN
ejpam-4168	450	8	-	-	ADJ
ejpam-4168	450	9	partial	partial	ADJ
ejpam-4168	450	10	dominating	dominating	NOUN
ejpam-4168	450	11	set	set	VERB
ejpam-4168	450	12	in	in	ADP
ejpam-4168	450	13	p4	p4	ADJ
ejpam-4168	450	14	◦	◦	NOUN
ejpam-4168	450	15	h	h	NOUN
ejpam-4168	451	1	but	but	CCONJ
ejpam-4168	451	2	c	c	NOUN
ejpam-4168	451	3	=	=	SYM
ejpam-4168	451	4	{	{	PUNCT
ejpam-4168	451	5	u1	u1	NOUN
ejpam-4168	451	6	,	,	PUNCT
ejpam-4168	451	7	u2	u2	PROPN
ejpam-4168	451	8	}	}	PUNCT
ejpam-4168	451	9	is	be	AUX
ejpam-4168	451	10	not	not	PART
ejpam-4168	451	11	a	a	DET
ejpam-4168	451	12	subset	subset	NOUN
ejpam-4168	451	13	of	of	ADP
ejpam-4168	451	14	v	v	NOUN
ejpam-4168	451	15	(	(	PUNCT
ejpam-4168	451	16	p4	p4	ADJ
ejpam-4168	451	17	)	)	PUNCT
ejpam-4168	451	18	.	.	PUNCT
ejpam-4168	452	1	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	452	2	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	452	3	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	453	1	....................................	....................................	PUNCT
ejpam-4168	453	2	..............................................................	..............................................................	PUNCT
ejpam-4168	454	1	....................................	....................................	PUNCT
ejpam-4168	454	2	.....................................................................	.....................................................................	PUNCT
ejpam-4168	454	3	.........	.........	PUNCT
ejpam-4168	454	4	........	........	PUNCT
ejpam-4168	454	5	........	........	PUNCT
ejpam-4168	454	6	........	........	PUNCT
ejpam-4168	454	7	........	........	PUNCT
ejpam-4168	455	1	......	......	PUNCT
ejpam-4168	455	2	....................................	....................................	PUNCT
ejpam-4168	456	1	...........	...........	PUNCT
ejpam-4168	456	2	..........	..........	PUNCT
ejpam-4168	457	1	..........	..........	PUNCT
ejpam-4168	457	2	..........	..........	PUNCT
ejpam-4168	458	1	..........	..........	PUNCT
ejpam-4168	458	2	..........	..........	PUNCT
ejpam-4168	458	3	.	.	PUNCT
ejpam-4168	459	1	....................................	....................................	PUNCT
ejpam-4168	459	2	....................................	....................................	PUNCT
ejpam-4168	460	1	..............................................................	..............................................................	PUNCT
ejpam-4168	460	2	....................................	....................................	PUNCT
ejpam-4168	460	3	.....................................................................	.....................................................................	PUNCT
ejpam-4168	460	4	.........	.........	PUNCT
ejpam-4168	460	5	........	........	PUNCT
ejpam-4168	460	6	........	........	PUNCT
ejpam-4168	460	7	........	........	PUNCT
ejpam-4168	461	1	........	........	PUNCT
ejpam-4168	461	2	......	......	PUNCT
ejpam-4168	462	1	....................................	....................................	PUNCT
ejpam-4168	462	2	...........	...........	PUNCT
ejpam-4168	463	1	..........	..........	PUNCT
ejpam-4168	463	2	..........	..........	PUNCT
ejpam-4168	464	1	..........	..........	PUNCT
ejpam-4168	464	2	..........	..........	PUNCT
ejpam-4168	465	1	..........	..........	PUNCT
ejpam-4168	465	2	.	.	PUNCT
ejpam-4168	466	1	....................................	....................................	PUNCT
ejpam-4168	466	2	....................................	....................................	PUNCT
ejpam-4168	467	1	..............................................................	..............................................................	PUNCT
ejpam-4168	467	2	....................................	....................................	PUNCT
ejpam-4168	467	3	.....................................................................	.....................................................................	PUNCT
ejpam-4168	467	4	.........	.........	PUNCT
ejpam-4168	467	5	........	........	PUNCT
ejpam-4168	467	6	........	........	PUNCT
ejpam-4168	467	7	........	........	PUNCT
ejpam-4168	468	1	........	........	PUNCT
ejpam-4168	468	2	......	......	PUNCT
ejpam-4168	469	1	....................................	....................................	PUNCT
ejpam-4168	469	2	...........	...........	PUNCT
ejpam-4168	470	1	..........	..........	PUNCT
ejpam-4168	470	2	..........	..........	PUNCT
ejpam-4168	471	1	..........	..........	PUNCT
ejpam-4168	471	2	..........	..........	PUNCT
ejpam-4168	472	1	..........	..........	PUNCT
ejpam-4168	472	2	.	.	PUNCT
ejpam-4168	473	1	....................................	....................................	PUNCT
ejpam-4168	473	2	....................................	....................................	PUNCT
ejpam-4168	474	1	..............................................................	..............................................................	PUNCT
ejpam-4168	474	2	....................................	....................................	PUNCT
ejpam-4168	474	3	.....................................................................	.....................................................................	PUNCT
ejpam-4168	474	4	.........	.........	PUNCT
ejpam-4168	474	5	........	........	PUNCT
ejpam-4168	474	6	........	........	PUNCT
ejpam-4168	474	7	........	........	PUNCT
ejpam-4168	475	1	........	........	PUNCT
ejpam-4168	475	2	......	......	PUNCT
ejpam-4168	476	1	....................................	....................................	PUNCT
ejpam-4168	476	2	...........	...........	PUNCT
ejpam-4168	477	1	..........	..........	PUNCT
ejpam-4168	477	2	..........	..........	PUNCT
ejpam-4168	478	1	..........	..........	PUNCT
ejpam-4168	478	2	..........	..........	PUNCT
ejpam-4168	479	1	..........	..........	PUNCT
ejpam-4168	479	2	.	.	PUNCT
ejpam-4168	480	1	....................................	....................................	PUNCT
ejpam-4168	480	2	....................................	....................................	PUNCT
ejpam-4168	481	1	u	u	NOUN
ejpam-4168	481	2	v	v	NUM
ejpam-4168	481	3	w	w	NOUN
ejpam-4168	481	4	x	x	PROPN
ejpam-4168	481	5	u1	u1	NOUN
ejpam-4168	481	6	u2	u2	PROPN
ejpam-4168	481	7	u3	u3	PROPN
ejpam-4168	481	8	•	•	NUM
ejpam-4168	481	9	•	•	NUM
ejpam-4168	481	10	figure	figure	NOUN
ejpam-4168	481	11	8	8	NUM
ejpam-4168	481	12	:	:	PUNCT
ejpam-4168	481	13	the	the	DET
ejpam-4168	481	14	graph	graph	NOUN
ejpam-4168	481	15	p4	p4	ADJ
ejpam-4168	481	16	◦	◦	NOUN
ejpam-4168	481	17	h	h	NOUN
ejpam-4168	481	18	with	with	ADP
ejpam-4168	481	19	a	a	DET
ejpam-4168	481	20	connected	connected	ADJ
ejpam-4168	481	21	α	α	NOUN
ejpam-4168	481	22	-	-	ADJ
ejpam-4168	481	23	partial	partial	ADJ
ejpam-4168	481	24	dominating	dominating	NOUN
ejpam-4168	481	25	set	set	NOUN
ejpam-4168	481	26	{	{	PUNCT
ejpam-4168	481	27	u1	u1	NOUN
ejpam-4168	481	28	,	,	PUNCT
ejpam-4168	481	29	u2	u2	PROPN
ejpam-4168	481	30	}	}	PUNCT
ejpam-4168	481	31	,	,	PUNCT
ejpam-4168	481	32	where	where	SCONJ
ejpam-4168	481	33	α	α	NOUN
ejpam-4168	481	34	=	=	NOUN
ejpam-4168	481	35	3	3	NUM
ejpam-4168	481	36	16	16	NUM
ejpam-4168	481	37	the	the	DET
ejpam-4168	481	38	next	next	ADJ
ejpam-4168	481	39	result	result	NOUN
ejpam-4168	481	40	is	be	AUX
ejpam-4168	481	41	an	an	DET
ejpam-4168	481	42	immediate	immediate	ADJ
ejpam-4168	481	43	consequence	consequence	NOUN
ejpam-4168	481	44	of	of	ADP
ejpam-4168	481	45	theorem	theorem	ADJ
ejpam-4168	481	46	5	5	NUM
ejpam-4168	481	47	.	.	PUNCT
ejpam-4168	481	48	corollary	corollary	ADJ
ejpam-4168	481	49	4	4	NUM
ejpam-4168	481	50	.	.	PUNCT
ejpam-4168	482	1	let	let	VERB
ejpam-4168	482	2	g	g	PRON
ejpam-4168	482	3	be	be	AUX
ejpam-4168	482	4	a	a	DET
ejpam-4168	482	5	nontrivial	nontrivial	ADJ
ejpam-4168	482	6	connected	connect	VERB
ejpam-4168	482	7	graph	graph	NOUN
ejpam-4168	482	8	of	of	ADP
ejpam-4168	482	9	order	order	NOUN
ejpam-4168	482	10	m	m	VERB
ejpam-4168	482	11	and	and	CCONJ
ejpam-4168	482	12	h	h	NOUN
ejpam-4168	482	13	be	be	VERB
ejpam-4168	482	14	any	any	DET
ejpam-4168	482	15	graph	graph	NOUN
ejpam-4168	482	16	of	of	ADP
ejpam-4168	482	17	order	order	NOUN
ejpam-4168	482	18	n.	n.	NOUN
ejpam-4168	482	19	let	let	VERB
ejpam-4168	482	20	α	α	PRON
ejpam-4168	482	21	∈	∈	PROPN
ejpam-4168	482	22	(	(	PUNCT
ejpam-4168	482	23	0	0	NUM
ejpam-4168	482	24	,	,	PUNCT
ejpam-4168	482	25	1	1	NUM
ejpam-4168	482	26	]	]	PUNCT
ejpam-4168	482	27	and	and	CCONJ
ejpam-4168	482	28	t	t	X
ejpam-4168	482	29	=	=	PUNCT
ejpam-4168	482	30	αm(n+	αm(n+	PROPN
ejpam-4168	482	31	1)−m	1)−m	NUM
ejpam-4168	482	32	n	n	NOUN
ejpam-4168	482	33	.	.	PUNCT
ejpam-4168	483	1	then	then	ADV
ejpam-4168	483	2	∂cα(g	∂cα(g	VERB
ejpam-4168	483	3	◦	◦	NOUN
ejpam-4168	483	4	h	h	NOUN
ejpam-4168	483	5	)	)	PUNCT
ejpam-4168	483	6	≤	≤	NUM
ejpam-4168	483	7	min	min	NOUN
ejpam-4168	483	8	{	{	PUNCT
ejpam-4168	483	9	ηg	ηg	NOUN
ejpam-4168	483	10	,	,	PUNCT
ejpam-4168	483	11	µg	µg	VERB
ejpam-4168	483	12	}	}	PUNCT
ejpam-4168	483	13	,	,	PUNCT
ejpam-4168	483	14	where	where	SCONJ
ejpam-4168	483	15	ηg	ηg	ADV
ejpam-4168	483	16	=	=	SYM
ejpam-4168	483	17	min	min	PROPN
ejpam-4168	483	18	{	{	PUNCT
ejpam-4168	483	19	|c|	|c|	PROPN
ejpam-4168	483	20	:	:	PUNCT
ejpam-4168	483	21	c	c	NOUN
ejpam-4168	483	22	is	be	AUX
ejpam-4168	483	23	a	a	DET
ejpam-4168	483	24	connected	connected	ADJ
ejpam-4168	483	25	dominating	dominating	NOUN
ejpam-4168	483	26	set	set	VERB
ejpam-4168	483	27	in	in	ADP
ejpam-4168	483	28	g	g	NOUN
ejpam-4168	483	29	with	with	ADP
ejpam-4168	483	30	|c|	|c|	PROPN
ejpam-4168	483	31	≥	≥	NUM
ejpam-4168	483	32	t	t	PROPN
ejpam-4168	483	33	}	}	PUNCT
ejpam-4168	483	34	j.m	j.m	PROPN
ejpam-4168	483	35	.	.	PROPN
ejpam-4168	483	36	cabulao	cabulao	PROPN
ejpam-4168	483	37	,	,	PUNCT
ejpam-4168	483	38	r.	r.	PROPN
ejpam-4168	483	39	isla	isla	PROPN
ejpam-4168	483	40	/	/	SYM
ejpam-4168	483	41	eur	eur	PROPN
ejpam-4168	483	42	.	.	PUNCT
ejpam-4168	484	1	j.	j.	PROPN
ejpam-4168	484	2	pure	pure	PROPN
ejpam-4168	484	3	appl	appl	PROPN
ejpam-4168	484	4	.	.	PROPN
ejpam-4168	484	5	math	math	PROPN
ejpam-4168	484	6	,	,	PUNCT
ejpam-4168	484	7	14	14	NUM
ejpam-4168	484	8	(	(	PUNCT
ejpam-4168	484	9	4	4	NUM
ejpam-4168	484	10	)	)	PUNCT
ejpam-4168	484	11	(	(	PUNCT
ejpam-4168	484	12	2021	2021	NUM
ejpam-4168	484	13	)	)	PUNCT
ejpam-4168	484	14	,	,	PUNCT
ejpam-4168	484	15	1490	1490	NUM
ejpam-4168	484	16	-	-	SYM
ejpam-4168	484	17	1506	1506	NUM
ejpam-4168	484	18	1500	1500	NUM
ejpam-4168	484	19	and	and	CCONJ
ejpam-4168	484	20	µg	µg	ADV
ejpam-4168	484	21	=	=	ADJ
ejpam-4168	484	22	min	min	NOUN
ejpam-4168	484	23	{	{	PUNCT
ejpam-4168	484	24	|c	|c	ADJ
ejpam-4168	484	25	′|	′|	NUM
ejpam-4168	484	26	:	:	PUNCT
ejpam-4168	484	27	c	c	NOUN
ejpam-4168	484	28	′	′	NOUN
ejpam-4168	485	1	⊆	⊆	NUM
ejpam-4168	485	2	v	v	ADP
ejpam-4168	485	3	(	(	PUNCT
ejpam-4168	485	4	g	g	NOUN
ejpam-4168	485	5	)	)	PUNCT
ejpam-4168	485	6	with	with	ADP
ejpam-4168	485	7	⟨c	⟨c	NOUN
ejpam-4168	485	8	′⟩	′⟩	NOUN
ejpam-4168	485	9	connected	connect	VERB
ejpam-4168	485	10	and	and	CCONJ
ejpam-4168	485	11	∣∣c	∣∣c	ADV
ejpam-4168	485	12	′∣∣	′∣∣	NUM
ejpam-4168	485	13	≥	≥	NOUN
ejpam-4168	485	14	αm	αm	INTJ
ejpam-4168	485	15	}	}	PUNCT
ejpam-4168	485	16	.	.	PUNCT
ejpam-4168	486	1	remark	remark	NOUN
ejpam-4168	486	2	9	9	NUM
ejpam-4168	486	3	.	.	PUNCT
ejpam-4168	487	1	the	the	DET
ejpam-4168	487	2	bound	bind	VERB
ejpam-4168	487	3	in	in	ADP
ejpam-4168	487	4	corollary	corollary	ADJ
ejpam-4168	487	5	4	4	NUM
ejpam-4168	487	6	is	be	AUX
ejpam-4168	487	7	sharp	sharp	ADJ
ejpam-4168	487	8	.	.	PUNCT
ejpam-4168	488	1	however	however	ADV
ejpam-4168	488	2	,	,	PUNCT
ejpam-4168	488	3	the	the	DET
ejpam-4168	488	4	strict	strict	ADJ
ejpam-4168	488	5	inequality	inequality	NOUN
ejpam-4168	488	6	can	can	AUX
ejpam-4168	488	7	be	be	AUX
ejpam-4168	488	8	attained	attain	VERB
ejpam-4168	488	9	.	.	PUNCT
ejpam-4168	489	1	to	to	PART
ejpam-4168	489	2	see	see	VERB
ejpam-4168	489	3	this	this	PRON
ejpam-4168	489	4	,	,	PUNCT
ejpam-4168	489	5	consider	consider	VERB
ejpam-4168	489	6	the	the	DET
ejpam-4168	489	7	graphs	graph	NOUN
ejpam-4168	489	8	shown	show	VERB
ejpam-4168	489	9	in	in	ADP
ejpam-4168	489	10	figures	figure	NOUN
ejpam-4168	489	11	8	8	NUM
ejpam-4168	489	12	,	,	PUNCT
ejpam-4168	489	13	9	9	NUM
ejpam-4168	489	14	and	and	CCONJ
ejpam-4168	489	15	10	10	NUM
ejpam-4168	489	16	.	.	PUNCT
ejpam-4168	490	1	the	the	DET
ejpam-4168	490	2	shaded	shade	VERB
ejpam-4168	490	3	vertices	vertex	NOUN
ejpam-4168	490	4	in	in	ADP
ejpam-4168	490	5	each	each	DET
ejpam-4168	490	6	graph	graph	NOUN
ejpam-4168	490	7	form	form	VERB
ejpam-4168	490	8	an	an	DET
ejpam-4168	490	9	∂α	∂α	PROPN
ejpam-4168	490	10	-	-	PUNCT
ejpam-4168	490	11	set	set	NOUN
ejpam-4168	490	12	for	for	ADP
ejpam-4168	490	13	α	α	NOUN
ejpam-4168	490	14	=	=	SYM
ejpam-4168	490	15	1	1	NUM
ejpam-4168	490	16	2	2	NUM
ejpam-4168	490	17	and	and	CCONJ
ejpam-4168	490	18	α	α	NOUN
ejpam-4168	490	19	=	=	SYM
ejpam-4168	490	20	3	3	NUM
ejpam-4168	490	21	8	8	NUM
ejpam-4168	490	22	,	,	PUNCT
ejpam-4168	490	23	respectively	respectively	ADV
ejpam-4168	490	24	.	.	PUNCT
ejpam-4168	491	1	thus	thus	ADV
ejpam-4168	491	2	,	,	PUNCT
ejpam-4168	491	3	for	for	ADP
ejpam-4168	491	4	g	g	PROPN
ejpam-4168	491	5	◦	◦	NOUN
ejpam-4168	491	6	h	h	NOUN
ejpam-4168	491	7	shown	show	VERB
ejpam-4168	491	8	in	in	ADP
ejpam-4168	491	9	figure	figure	NOUN
ejpam-4168	491	10	9	9	NUM
ejpam-4168	491	11	,	,	PUNCT
ejpam-4168	491	12	where	where	SCONJ
ejpam-4168	491	13	α	α	NOUN
ejpam-4168	491	14	=	=	NOUN
ejpam-4168	491	15	1	1	NUM
ejpam-4168	491	16	2	2	NUM
ejpam-4168	491	17	,	,	PUNCT
ejpam-4168	491	18	∂cα(g	∂cα(g	PROPN
ejpam-4168	491	19	◦	◦	NOUN
ejpam-4168	491	20	h	h	NOUN
ejpam-4168	491	21	)	)	PUNCT
ejpam-4168	491	22	=	=	SYM
ejpam-4168	491	23	2	2	NUM
ejpam-4168	491	24	=	=	SYM
ejpam-4168	491	25	min	min	NOUN
ejpam-4168	491	26	{	{	PUNCT
ejpam-4168	491	27	2	2	NUM
ejpam-4168	491	28	,	,	PUNCT
ejpam-4168	491	29	3	3	NUM
ejpam-4168	491	30	}	}	PUNCT
ejpam-4168	491	31	=	=	SYM
ejpam-4168	491	32	min	min	NOUN
ejpam-4168	491	33	{	{	PUNCT
ejpam-4168	491	34	ηg	ηg	NOUN
ejpam-4168	491	35	,	,	PUNCT
ejpam-4168	491	36	µg	µg	VERB
ejpam-4168	491	37	}	}	PUNCT
ejpam-4168	491	38	=	=	SYM
ejpam-4168	491	39	ηg	ηg	NOUN
ejpam-4168	491	40	,	,	PUNCT
ejpam-4168	491	41	and	and	CCONJ
ejpam-4168	491	42	for	for	ADP
ejpam-4168	491	43	α	α	NOUN
ejpam-4168	491	44	=	=	SYM
ejpam-4168	491	45	1	1	NUM
ejpam-4168	491	46	2	2	NUM
ejpam-4168	491	47	,	,	PUNCT
ejpam-4168	491	48	∂cα(p8	∂cα(p8	X
ejpam-4168	491	49	◦	◦	NOUN
ejpam-4168	491	50	p6	p6	PROPN
ejpam-4168	491	51	)	)	PUNCT
ejpam-4168	491	52	=	=	SYM
ejpam-4168	491	53	4	4	NUM
ejpam-4168	491	54	=	=	SYM
ejpam-4168	491	55	min	min	NOUN
ejpam-4168	491	56	{	{	PUNCT
ejpam-4168	491	57	6	6	NUM
ejpam-4168	491	58	,	,	PUNCT
ejpam-4168	491	59	4	4	NUM
ejpam-4168	491	60	}	}	PUNCT
ejpam-4168	491	61	=	=	SYM
ejpam-4168	491	62	min	min	NOUN
ejpam-4168	491	63	{	{	PUNCT
ejpam-4168	491	64	ηg	ηg	NOUN
ejpam-4168	491	65	,	,	PUNCT
ejpam-4168	491	66	µg	µg	VERB
ejpam-4168	491	67	}	}	PUNCT
ejpam-4168	491	68	=	=	SYM
ejpam-4168	491	69	µg	µg	NOUN
ejpam-4168	491	70	.	.	PUNCT
ejpam-4168	492	1	however	however	ADV
ejpam-4168	492	2	,	,	PUNCT
ejpam-4168	492	3	for	for	ADP
ejpam-4168	492	4	the	the	DET
ejpam-4168	492	5	graph	graph	NOUN
ejpam-4168	492	6	shown	show	VERB
ejpam-4168	492	7	in	in	ADP
ejpam-4168	492	8	figure	figure	NOUN
ejpam-4168	492	9	8	8	NUM
ejpam-4168	492	10	,	,	PUNCT
ejpam-4168	492	11	where	where	SCONJ
ejpam-4168	492	12	α	α	NOUN
ejpam-4168	492	13	=	=	NOUN
ejpam-4168	492	14	3	3	NUM
ejpam-4168	492	15	8	8	NUM
ejpam-4168	492	16	,	,	PUNCT
ejpam-4168	492	17	∂cα(p4	∂cα(p4	PUNCT
ejpam-4168	493	1	◦	◦	NOUN
ejpam-4168	493	2	h	h	NOUN
ejpam-4168	493	3	)	)	PUNCT
ejpam-4168	493	4	=	=	SYM
ejpam-4168	493	5	1	1	NUM
ejpam-4168	493	6	<	<	SYM
ejpam-4168	493	7	2	2	NUM
ejpam-4168	493	8	=	=	SYM
ejpam-4168	493	9	min	min	NOUN
ejpam-4168	493	10	{	{	PUNCT
ejpam-4168	493	11	2	2	NUM
ejpam-4168	493	12	,	,	PUNCT
ejpam-4168	493	13	3	3	NUM
ejpam-4168	493	14	}	}	PUNCT
ejpam-4168	493	15	=	=	SYM
ejpam-4168	493	16	min	min	NOUN
ejpam-4168	493	17	{	{	PUNCT
ejpam-4168	493	18	ηg	ηg	NOUN
ejpam-4168	493	19	,	,	PUNCT
ejpam-4168	493	20	µg	µg	ADV
ejpam-4168	493	21	}	}	PUNCT
ejpam-4168	493	22	.	.	PUNCT
ejpam-4168	494	1	............................................................................................................................................	............................................................................................................................................	PUNCT
ejpam-4168	494	2	..................................................................................	..................................................................................	PUNCT
ejpam-4168	495	1	....................................	....................................	PUNCT
ejpam-4168	495	2	........................	........................	PUNCT
ejpam-4168	496	1	.......................	.......................	PUNCT
ejpam-4168	496	2	.......................	.......................	PUNCT
ejpam-4168	497	1	.......................	.......................	PUNCT
ejpam-4168	497	2	...................	...................	PUNCT
ejpam-4168	498	1	....................................................................................................................................................	....................................................................................................................................................	PUNCT
ejpam-4168	498	2	....................................	....................................	PUNCT
ejpam-4168	499	1	...........	...........	PUNCT
ejpam-4168	499	2	..........	..........	PUNCT
ejpam-4168	500	1	..........	..........	PUNCT
ejpam-4168	500	2	..........	..........	PUNCT
ejpam-4168	501	1	..........	..........	PUNCT
ejpam-4168	501	2	..........	..........	PUNCT
ejpam-4168	502	1	..........	..........	PUNCT
ejpam-4168	502	2	..........	..........	PUNCT
ejpam-4168	502	3	.	.	PUNCT
ejpam-4168	503	1	....................................	....................................	PUNCT
ejpam-4168	503	2	......................................................................................................................	......................................................................................................................	PUNCT
ejpam-4168	504	1	....................................	....................................	PUNCT
ejpam-4168	504	2	....................................	....................................	PUNCT
ejpam-4168	504	3	......................................................	......................................................	PUNCT
ejpam-4168	504	4	....................................	....................................	PUNCT
ejpam-4168	505	1	............................................................	............................................................	PUNCT
ejpam-4168	505	2	.........	.........	PUNCT
ejpam-4168	505	3	........	........	PUNCT
ejpam-4168	505	4	........	........	PUNCT
ejpam-4168	505	5	........	........	PUNCT
ejpam-4168	505	6	........	........	PUNCT
ejpam-4168	506	1	......	......	PUNCT
ejpam-4168	506	2	....................................	....................................	PUNCT
ejpam-4168	507	1	...........	...........	PUNCT
ejpam-4168	507	2	..........	..........	PUNCT
ejpam-4168	508	1	..........	..........	PUNCT
ejpam-4168	508	2	..........	..........	PUNCT
ejpam-4168	509	1	..........	..........	PUNCT
ejpam-4168	509	2	...	...	PUNCT
ejpam-4168	510	1	....................................	....................................	PUNCT
ejpam-4168	510	2	....................................	....................................	PUNCT
ejpam-4168	511	1	...................................................	...................................................	PUNCT
ejpam-4168	511	2	....................................	....................................	PUNCT
ejpam-4168	511	3	............................................................	............................................................	PUNCT
ejpam-4168	511	4	.........	.........	PUNCT
ejpam-4168	511	5	........	........	PUNCT
ejpam-4168	511	6	........	........	PUNCT
ejpam-4168	511	7	........	........	PUNCT
ejpam-4168	511	8	........	........	PUNCT
ejpam-4168	511	9	.......	.......	PUNCT
ejpam-4168	512	1	....................................	....................................	PUNCT
ejpam-4168	512	2	...........	...........	PUNCT
ejpam-4168	513	1	..........	..........	PUNCT
ejpam-4168	513	2	..........	..........	PUNCT
ejpam-4168	514	1	..........	..........	PUNCT
ejpam-4168	514	2	..........	..........	PUNCT
ejpam-4168	514	3	.......	.......	PUNCT
ejpam-4168	515	1	....................................	....................................	PUNCT
ejpam-4168	515	2	....................................	....................................	PUNCT
ejpam-4168	516	1	................	................	PUNCT
ejpam-4168	516	2	...............	...............	PUNCT
ejpam-4168	516	3	...............	...............	PUNCT
ejpam-4168	516	4	........	........	PUNCT
ejpam-4168	516	5	....................................	....................................	PUNCT
ejpam-4168	516	6	........................	........................	PUNCT
ejpam-4168	517	1	....................................	....................................	PUNCT
ejpam-4168	517	2	...............................................	...............................................	PUNCT
ejpam-4168	517	3	..........................................................................................	..........................................................................................	PUNCT
ejpam-4168	518	1	....................................	....................................	PUNCT
ejpam-4168	518	2	..........................................................................................	..........................................................................................	PUNCT
ejpam-4168	519	1	....................................	....................................	PUNCT
ejpam-4168	519	2	........................	........................	PUNCT
ejpam-4168	520	1	....................................	....................................	PUNCT
ejpam-4168	520	2	.........	.........	PUNCT
ejpam-4168	520	3	........	........	PUNCT
ejpam-4168	520	4	........	........	PUNCT
ejpam-4168	520	5	........	........	PUNCT
ejpam-4168	520	6	........	........	PUNCT
ejpam-4168	521	1	......	......	PUNCT
ejpam-4168	521	2	....................................	....................................	PUNCT
ejpam-4168	522	1	...........	...........	PUNCT
ejpam-4168	522	2	..........	..........	PUNCT
ejpam-4168	523	1	..........	..........	PUNCT
ejpam-4168	523	2	..........	..........	PUNCT
ejpam-4168	524	1	..........	..........	PUNCT
ejpam-4168	524	2	...	...	PUNCT
ejpam-4168	524	3	.	.	PUNCT
ejpam-4168	525	1	...................................	...................................	PUNCT
ejpam-4168	525	2	....................................	....................................	PUNCT
ejpam-4168	526	1	......................................................	......................................................	PUNCT
ejpam-4168	526	2	....................................	....................................	PUNCT
ejpam-4168	527	1	.........	.........	PUNCT
ejpam-4168	527	2	........	........	PUNCT
ejpam-4168	527	3	.......	.......	PUNCT
ejpam-4168	527	4	....................................	....................................	PUNCT
ejpam-4168	527	5	...................................................................................	...................................................................................	PUNCT
ejpam-4168	528	1	................	................	PUNCT
ejpam-4168	528	2	...............	...............	PUNCT
ejpam-4168	528	3	...............	...............	PUNCT
ejpam-4168	528	4	........	........	PUNCT
ejpam-4168	528	5	.	.	PUNCT
ejpam-4168	529	1	...................................	...................................	PUNCT
ejpam-4168	530	1	....................................	....................................	PUNCT
ejpam-4168	531	1	1	1	NUM
ejpam-4168	531	2	2	2	NUM
ejpam-4168	531	3	3	3	NUM
ejpam-4168	531	4	4	4	NUM
ejpam-4168	531	5	5	5	NUM
ejpam-4168	531	6	•	•	NUM
ejpam-4168	531	7	•	•	NUM
ejpam-4168	531	8	figure	figure	NOUN
ejpam-4168	531	9	9	9	NUM
ejpam-4168	531	10	:	:	PUNCT
ejpam-4168	531	11	the	the	DET
ejpam-4168	531	12	graph	graph	NOUN
ejpam-4168	531	13	g	g	PROPN
ejpam-4168	531	14	◦	◦	NOUN
ejpam-4168	531	15	h	h	NOUN
ejpam-4168	531	16	with	with	ADP
ejpam-4168	531	17	∂cα(g	∂cα(g	PROPN
ejpam-4168	531	18	◦	◦	NOUN
ejpam-4168	531	19	h	h	NOUN
ejpam-4168	531	20	)	)	PUNCT
ejpam-4168	531	21	=	=	SYM
ejpam-4168	531	22	2	2	NUM
ejpam-4168	531	23	=	=	SYM
ejpam-4168	531	24	min	min	NOUN
ejpam-4168	531	25	{	{	PUNCT
ejpam-4168	531	26	ηg	ηg	NOUN
ejpam-4168	531	27	,	,	PUNCT
ejpam-4168	531	28	µg	µg	VERB
ejpam-4168	531	29	}	}	PUNCT
ejpam-4168	531	30	=	=	SYM
ejpam-4168	531	31	ηg	ηg	NOUN
ejpam-4168	531	32	,	,	PUNCT
ejpam-4168	531	33	where	where	SCONJ
ejpam-4168	531	34	α	α	NOUN
ejpam-4168	531	35	=	=	NOUN
ejpam-4168	531	36	1	1	NUM
ejpam-4168	531	37	2	2	NUM
ejpam-4168	531	38	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	531	39	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	531	40	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	531	41	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	531	42	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	531	43	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	531	44	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	531	45	....................................	....................................	PUNCT
ejpam-4168	531	46	.......................................................	.......................................................	PUNCT
ejpam-4168	531	47	.......................................................	.......................................................	PUNCT
ejpam-4168	531	48	.......................................................	.......................................................	PUNCT
ejpam-4168	531	49	.......................................................	.......................................................	PUNCT
ejpam-4168	531	50	.......................................................	.......................................................	PUNCT
ejpam-4168	532	1	..........................................................................................................................................	..........................................................................................................................................	PUNCT
ejpam-4168	532	2	......................................................................................	......................................................................................	PUNCT
ejpam-4168	532	3	......................................................................................	......................................................................................	PUNCT
ejpam-4168	532	4	........	........	PUNCT
ejpam-4168	532	5	........	........	PUNCT
ejpam-4168	532	6	........	........	PUNCT
ejpam-4168	532	7	........	........	PUNCT
ejpam-4168	532	8	........	........	PUNCT
ejpam-4168	532	9	........	........	PUNCT
ejpam-4168	532	10	........	........	PUNCT
ejpam-4168	532	11	........	........	PUNCT
ejpam-4168	533	1	....	....	PUNCT
ejpam-4168	533	2	..........	..........	PUNCT
ejpam-4168	534	1	.........	.........	PUNCT
ejpam-4168	534	2	.........	.........	PUNCT
ejpam-4168	535	1	.........	.........	PUNCT
ejpam-4168	535	2	.........	.........	PUNCT
ejpam-4168	536	1	.........	.........	PUNCT
ejpam-4168	536	2	.........	.........	PUNCT
ejpam-4168	537	1	.........	.........	PUNCT
ejpam-4168	537	2	.........	.........	PUNCT
ejpam-4168	538	1	....	....	PUNCT
ejpam-4168	538	2	............	............	PUNCT
ejpam-4168	538	3	...........	...........	PUNCT
ejpam-4168	538	4	...........	...........	PUNCT
ejpam-4168	538	5	...........	...........	PUNCT
ejpam-4168	538	6	...........	...........	PUNCT
ejpam-4168	538	7	...........	...........	PUNCT
ejpam-4168	538	8	...........	...........	PUNCT
ejpam-4168	538	9	...........	...........	PUNCT
ejpam-4168	538	10	...........	...........	PUNCT
ejpam-4168	538	11	..	..	PUNCT
ejpam-4168	538	12	.......................................................	.......................................................	PUNCT
ejpam-4168	538	13	.......................................................	.......................................................	PUNCT
ejpam-4168	538	14	.......................................................	.......................................................	PUNCT
ejpam-4168	538	15	.......................................................	.......................................................	PUNCT
ejpam-4168	538	16	.......................................................	.......................................................	PUNCT
ejpam-4168	538	17	....................................	....................................	PUNCT
ejpam-4168	538	18	............	............	PUNCT
ejpam-4168	538	19	...........	...........	PUNCT
ejpam-4168	538	20	...........	...........	PUNCT
ejpam-4168	538	21	...........	...........	PUNCT
ejpam-4168	538	22	...........	...........	PUNCT
ejpam-4168	538	23	...........	...........	PUNCT
ejpam-4168	538	24	...........	...........	PUNCT
ejpam-4168	538	25	...........	...........	PUNCT
ejpam-4168	538	26	...........	...........	PUNCT
ejpam-4168	538	27	..	..	PUNCT
ejpam-4168	538	28	..........	..........	PUNCT
ejpam-4168	539	1	.........	.........	PUNCT
ejpam-4168	539	2	.........	.........	PUNCT
ejpam-4168	540	1	.........	.........	PUNCT
ejpam-4168	540	2	.........	.........	PUNCT
ejpam-4168	541	1	.........	.........	PUNCT
ejpam-4168	541	2	.........	.........	PUNCT
ejpam-4168	542	1	.........	.........	PUNCT
ejpam-4168	542	2	.........	.........	PUNCT
ejpam-4168	543	1	....	....	PUNCT
ejpam-4168	543	2	.........	.........	PUNCT
ejpam-4168	543	3	........	........	PUNCT
ejpam-4168	543	4	........	........	PUNCT
ejpam-4168	543	5	........	........	PUNCT
ejpam-4168	543	6	........	........	PUNCT
ejpam-4168	543	7	........	........	PUNCT
ejpam-4168	543	8	........	........	PUNCT
ejpam-4168	543	9	........	........	PUNCT
ejpam-4168	543	10	........	........	PUNCT
ejpam-4168	543	11	.................................................................................	.................................................................................	PUNCT
ejpam-4168	543	12	......................................................................................	......................................................................................	PUNCT
ejpam-4168	543	13	......................................................................................................	......................................................................................................	PUNCT
ejpam-4168	543	14	.......................................................	.......................................................	PUNCT
ejpam-4168	543	15	.......................................................	.......................................................	PUNCT
ejpam-4168	543	16	.......................................................	.......................................................	PUNCT
ejpam-4168	543	17	.......................................................	.......................................................	PUNCT
ejpam-4168	543	18	.......................................................	.......................................................	PUNCT
ejpam-4168	544	1	..........................................................................................................................................	..........................................................................................................................................	PUNCT
ejpam-4168	544	2	......................................................................................	......................................................................................	PUNCT
ejpam-4168	544	3	......................................................................................	......................................................................................	PUNCT
ejpam-4168	544	4	........	........	PUNCT
ejpam-4168	544	5	........	........	PUNCT
ejpam-4168	544	6	........	........	PUNCT
ejpam-4168	544	7	........	........	PUNCT
ejpam-4168	544	8	........	........	PUNCT
ejpam-4168	544	9	........	........	PUNCT
ejpam-4168	544	10	........	........	PUNCT
ejpam-4168	544	11	........	........	PUNCT
ejpam-4168	545	1	....	....	PUNCT
ejpam-4168	545	2	..........	..........	PUNCT
ejpam-4168	546	1	.........	.........	PUNCT
ejpam-4168	546	2	.........	.........	PUNCT
ejpam-4168	547	1	.........	.........	PUNCT
ejpam-4168	547	2	.........	.........	PUNCT
ejpam-4168	548	1	.........	.........	PUNCT
ejpam-4168	548	2	.........	.........	PUNCT
ejpam-4168	549	1	.........	.........	PUNCT
ejpam-4168	549	2	.........	.........	PUNCT
ejpam-4168	550	1	....	....	PUNCT
ejpam-4168	550	2	............	............	PUNCT
ejpam-4168	550	3	...........	...........	PUNCT
ejpam-4168	550	4	...........	...........	PUNCT
ejpam-4168	550	5	...........	...........	PUNCT
ejpam-4168	550	6	...........	...........	PUNCT
ejpam-4168	550	7	...........	...........	PUNCT
ejpam-4168	550	8	...........	...........	PUNCT
ejpam-4168	550	9	...........	...........	PUNCT
ejpam-4168	550	10	...........	...........	PUNCT
ejpam-4168	550	11	..	..	PUNCT
ejpam-4168	550	12	.......................................................	.......................................................	PUNCT
ejpam-4168	550	13	.......................................................	.......................................................	PUNCT
ejpam-4168	550	14	.......................................................	.......................................................	PUNCT
ejpam-4168	550	15	.......................................................	.......................................................	PUNCT
ejpam-4168	550	16	.......................................................	.......................................................	PUNCT
ejpam-4168	550	17	....................................	....................................	PUNCT
ejpam-4168	550	18	............	............	PUNCT
ejpam-4168	550	19	...........	...........	PUNCT
ejpam-4168	550	20	...........	...........	PUNCT
ejpam-4168	550	21	...........	...........	PUNCT
ejpam-4168	550	22	...........	...........	PUNCT
ejpam-4168	550	23	...........	...........	PUNCT
ejpam-4168	550	24	...........	...........	PUNCT
ejpam-4168	550	25	...........	...........	PUNCT
ejpam-4168	550	26	...........	...........	PUNCT
ejpam-4168	550	27	..	..	PUNCT
ejpam-4168	550	28	..........	..........	PUNCT
ejpam-4168	551	1	.........	.........	PUNCT
ejpam-4168	551	2	.........	.........	PUNCT
ejpam-4168	552	1	.........	.........	PUNCT
ejpam-4168	552	2	.........	.........	PUNCT
ejpam-4168	553	1	.........	.........	PUNCT
ejpam-4168	553	2	.........	.........	PUNCT
ejpam-4168	554	1	.........	.........	PUNCT
ejpam-4168	554	2	.........	.........	PUNCT
ejpam-4168	555	1	....	....	PUNCT
ejpam-4168	555	2	.........	.........	PUNCT
ejpam-4168	555	3	........	........	PUNCT
ejpam-4168	555	4	........	........	PUNCT
ejpam-4168	555	5	........	........	PUNCT
ejpam-4168	555	6	........	........	PUNCT
ejpam-4168	555	7	........	........	PUNCT
ejpam-4168	555	8	........	........	PUNCT
ejpam-4168	555	9	........	........	PUNCT
ejpam-4168	555	10	........	........	PUNCT
ejpam-4168	555	11	.................................................................................	.................................................................................	PUNCT
ejpam-4168	555	12	......................................................................................	......................................................................................	PUNCT
ejpam-4168	555	13	......................................................................................................	......................................................................................................	PUNCT
ejpam-4168	555	14	.......................................................	.......................................................	PUNCT
ejpam-4168	555	15	.......................................................	.......................................................	PUNCT
ejpam-4168	555	16	.......................................................	.......................................................	PUNCT
ejpam-4168	555	17	.......................................................	.......................................................	PUNCT
ejpam-4168	555	18	.......................................................	.......................................................	PUNCT
ejpam-4168	556	1	..........................................................................................................................................	..........................................................................................................................................	PUNCT
ejpam-4168	556	2	......................................................................................	......................................................................................	PUNCT
ejpam-4168	556	3	......................................................................................	......................................................................................	PUNCT
ejpam-4168	556	4	........	........	PUNCT
ejpam-4168	556	5	........	........	PUNCT
ejpam-4168	556	6	........	........	PUNCT
ejpam-4168	556	7	........	........	PUNCT
ejpam-4168	556	8	........	........	PUNCT
ejpam-4168	556	9	........	........	PUNCT
ejpam-4168	556	10	........	........	PUNCT
ejpam-4168	556	11	........	........	PUNCT
ejpam-4168	557	1	....	....	PUNCT
ejpam-4168	557	2	..........	..........	PUNCT
ejpam-4168	558	1	.........	.........	PUNCT
ejpam-4168	558	2	.........	.........	PUNCT
ejpam-4168	559	1	.........	.........	PUNCT
ejpam-4168	559	2	.........	.........	PUNCT
ejpam-4168	560	1	.........	.........	PUNCT
ejpam-4168	560	2	.........	.........	PUNCT
ejpam-4168	561	1	.........	.........	PUNCT
ejpam-4168	561	2	.........	.........	PUNCT
ejpam-4168	562	1	....	....	PUNCT
ejpam-4168	562	2	............	............	PUNCT
ejpam-4168	562	3	...........	...........	PUNCT
ejpam-4168	562	4	...........	...........	PUNCT
ejpam-4168	562	5	...........	...........	PUNCT
ejpam-4168	562	6	...........	...........	PUNCT
ejpam-4168	562	7	...........	...........	PUNCT
ejpam-4168	562	8	...........	...........	PUNCT
ejpam-4168	562	9	...........	...........	PUNCT
ejpam-4168	562	10	...........	...........	PUNCT
ejpam-4168	562	11	..	..	PUNCT
ejpam-4168	562	12	.......................................................	.......................................................	PUNCT
ejpam-4168	562	13	.......................................................	.......................................................	PUNCT
ejpam-4168	562	14	.......................................................	.......................................................	PUNCT
ejpam-4168	562	15	.......................................................	.......................................................	PUNCT
ejpam-4168	562	16	.......................................................	.......................................................	PUNCT
ejpam-4168	562	17	....................................	....................................	PUNCT
ejpam-4168	562	18	............	............	PUNCT
ejpam-4168	562	19	...........	...........	PUNCT
ejpam-4168	562	20	...........	...........	PUNCT
ejpam-4168	562	21	...........	...........	PUNCT
ejpam-4168	562	22	...........	...........	PUNCT
ejpam-4168	562	23	...........	...........	PUNCT
ejpam-4168	562	24	...........	...........	PUNCT
ejpam-4168	562	25	...........	...........	PUNCT
ejpam-4168	562	26	...........	...........	PUNCT
ejpam-4168	562	27	..	..	PUNCT
ejpam-4168	562	28	..........	..........	PUNCT
ejpam-4168	563	1	.........	.........	PUNCT
ejpam-4168	563	2	.........	.........	PUNCT
ejpam-4168	564	1	.........	.........	PUNCT
ejpam-4168	564	2	.........	.........	PUNCT
ejpam-4168	565	1	.........	.........	PUNCT
ejpam-4168	565	2	.........	.........	PUNCT
ejpam-4168	566	1	.........	.........	PUNCT
ejpam-4168	566	2	.........	.........	PUNCT
ejpam-4168	567	1	....	....	PUNCT
ejpam-4168	567	2	.........	.........	PUNCT
ejpam-4168	567	3	........	........	PUNCT
ejpam-4168	567	4	........	........	PUNCT
ejpam-4168	567	5	........	........	PUNCT
ejpam-4168	567	6	........	........	PUNCT
ejpam-4168	567	7	........	........	PUNCT
ejpam-4168	567	8	........	........	PUNCT
ejpam-4168	567	9	........	........	PUNCT
ejpam-4168	567	10	........	........	PUNCT
ejpam-4168	567	11	.................................................................................	.................................................................................	PUNCT
ejpam-4168	567	12	......................................................................................	......................................................................................	PUNCT
ejpam-4168	567	13	......................................................................................................	......................................................................................................	PUNCT
ejpam-4168	567	14	.......................................................	.......................................................	PUNCT
ejpam-4168	567	15	.......................................................	.......................................................	PUNCT
ejpam-4168	567	16	.......................................................	.......................................................	PUNCT
ejpam-4168	567	17	.......................................................	.......................................................	PUNCT
ejpam-4168	567	18	.......................................................	.......................................................	PUNCT
ejpam-4168	568	1	..........................................................................................................................................	..........................................................................................................................................	PUNCT
ejpam-4168	568	2	......................................................................................	......................................................................................	PUNCT
ejpam-4168	568	3	......................................................................................	......................................................................................	PUNCT
ejpam-4168	568	4	........	........	PUNCT
ejpam-4168	568	5	........	........	PUNCT
ejpam-4168	568	6	........	........	PUNCT
ejpam-4168	568	7	........	........	PUNCT
ejpam-4168	568	8	........	........	PUNCT
ejpam-4168	568	9	........	........	PUNCT
ejpam-4168	568	10	........	........	PUNCT
ejpam-4168	568	11	........	........	PUNCT
ejpam-4168	569	1	....	....	PUNCT
ejpam-4168	569	2	..........	..........	PUNCT
ejpam-4168	570	1	.........	.........	PUNCT
ejpam-4168	570	2	.........	.........	PUNCT
ejpam-4168	571	1	.........	.........	PUNCT
ejpam-4168	571	2	.........	.........	PUNCT
ejpam-4168	572	1	.........	.........	PUNCT
ejpam-4168	572	2	.........	.........	PUNCT
ejpam-4168	573	1	.........	.........	PUNCT
ejpam-4168	573	2	.........	.........	PUNCT
ejpam-4168	574	1	....	....	PUNCT
ejpam-4168	574	2	............	............	PUNCT
ejpam-4168	574	3	...........	...........	PUNCT
ejpam-4168	574	4	...........	...........	PUNCT
ejpam-4168	574	5	...........	...........	PUNCT
ejpam-4168	574	6	...........	...........	PUNCT
ejpam-4168	574	7	...........	...........	PUNCT
ejpam-4168	574	8	...........	...........	PUNCT
ejpam-4168	574	9	...........	...........	PUNCT
ejpam-4168	574	10	...........	...........	PUNCT
ejpam-4168	574	11	..	..	PUNCT
ejpam-4168	574	12	.......................................................	.......................................................	PUNCT
ejpam-4168	574	13	.......................................................	.......................................................	PUNCT
ejpam-4168	574	14	.......................................................	.......................................................	PUNCT
ejpam-4168	574	15	.......................................................	.......................................................	PUNCT
ejpam-4168	574	16	.......................................................	.......................................................	PUNCT
ejpam-4168	574	17	....................................	....................................	PUNCT
ejpam-4168	574	18	............	............	PUNCT
ejpam-4168	574	19	...........	...........	PUNCT
ejpam-4168	574	20	...........	...........	PUNCT
ejpam-4168	574	21	...........	...........	PUNCT
ejpam-4168	574	22	...........	...........	PUNCT
ejpam-4168	574	23	...........	...........	PUNCT
ejpam-4168	574	24	...........	...........	PUNCT
ejpam-4168	574	25	...........	...........	PUNCT
ejpam-4168	574	26	...........	...........	PUNCT
ejpam-4168	574	27	..	..	PUNCT
ejpam-4168	574	28	..........	..........	PUNCT
ejpam-4168	575	1	.........	.........	PUNCT
ejpam-4168	575	2	.........	.........	PUNCT
ejpam-4168	576	1	.........	.........	PUNCT
ejpam-4168	576	2	.........	.........	PUNCT
ejpam-4168	577	1	.........	.........	PUNCT
ejpam-4168	577	2	.........	.........	PUNCT
ejpam-4168	578	1	.........	.........	PUNCT
ejpam-4168	578	2	.........	.........	PUNCT
ejpam-4168	579	1	....	....	PUNCT
ejpam-4168	579	2	.........	.........	PUNCT
ejpam-4168	579	3	........	........	PUNCT
ejpam-4168	579	4	........	........	PUNCT
ejpam-4168	579	5	........	........	PUNCT
ejpam-4168	579	6	........	........	PUNCT
ejpam-4168	579	7	........	........	PUNCT
ejpam-4168	579	8	........	........	PUNCT
ejpam-4168	579	9	........	........	PUNCT
ejpam-4168	579	10	........	........	PUNCT
ejpam-4168	579	11	.................................................................................	.................................................................................	PUNCT
ejpam-4168	579	12	......................................................................................	......................................................................................	PUNCT
ejpam-4168	580	1	......................................................................................................	......................................................................................................	PUNCT
ejpam-4168	581	1	1	1	NUM
ejpam-4168	581	2	2	2	NUM
ejpam-4168	581	3	3	3	NUM
ejpam-4168	581	4	4	4	NUM
ejpam-4168	581	5	5	5	NUM
ejpam-4168	581	6	6	6	NUM
ejpam-4168	581	7	7	7	NUM
ejpam-4168	581	8	8	8	NUM
ejpam-4168	581	9	•	•	NUM
ejpam-4168	581	10	•	•	NUM
ejpam-4168	581	11	•	•	NOUN
ejpam-4168	581	12	•	•	NUM
ejpam-4168	581	13	figure	figure	NOUN
ejpam-4168	581	14	10	10	NUM
ejpam-4168	581	15	:	:	PUNCT
ejpam-4168	581	16	the	the	DET
ejpam-4168	581	17	graph	graph	NOUN
ejpam-4168	581	18	p8	p8	PROPN
ejpam-4168	581	19	◦	◦	NOUN
ejpam-4168	581	20	p6	p6	VERB
ejpam-4168	581	21	with	with	ADP
ejpam-4168	581	22	∂c	∂c	PROPN
ejpam-4168	581	23	1	1	NUM
ejpam-4168	581	24	2	2	NUM
ejpam-4168	581	25	(	(	PUNCT
ejpam-4168	581	26	p8	p8	PROPN
ejpam-4168	581	27	◦	◦	NOUN
ejpam-4168	581	28	p6	p6	PROPN
ejpam-4168	581	29	)	)	PUNCT
ejpam-4168	581	30	=	=	SYM
ejpam-4168	581	31	4	4	NUM
ejpam-4168	581	32	=	=	SYM
ejpam-4168	581	33	min	min	PROPN
ejpam-4168	581	34	{	{	PUNCT
ejpam-4168	581	35	ηg	ηg	NOUN
ejpam-4168	581	36	,	,	PUNCT
ejpam-4168	581	37	µg	µg	VERB
ejpam-4168	581	38	}	}	PUNCT
ejpam-4168	581	39	=	=	PUNCT
ejpam-4168	581	40	µg	µg	ADV
ejpam-4168	581	41	lemma	lemma	PROPN
ejpam-4168	581	42	1	1	X
ejpam-4168	581	43	.	.	PUNCT
ejpam-4168	582	1	let	let	VERB
ejpam-4168	582	2	α	α	PRON
ejpam-4168	582	3	∈	∈	PROPN
ejpam-4168	582	4	(	(	PUNCT
ejpam-4168	582	5	0	0	NUM
ejpam-4168	582	6	,	,	PUNCT
ejpam-4168	582	7	1	1	NUM
ejpam-4168	582	8	]	]	PUNCT
ejpam-4168	582	9	and	and	CCONJ
ejpam-4168	582	10	c	c	NOUN
ejpam-4168	582	11	=	=	SYM
ejpam-4168	582	12	⋃	⋃	PROPN
ejpam-4168	582	13	x∈s	x∈s	NOUN
ejpam-4168	582	14	(	(	PUNCT
ejpam-4168	582	15	{	{	PUNCT
ejpam-4168	582	16	x	x	NOUN
ejpam-4168	582	17	}	}	PUNCT
ejpam-4168	582	18	×	×	PROPN
ejpam-4168	582	19	tx	tx	PROPN
ejpam-4168	582	20	)	)	PUNCT
ejpam-4168	582	21	⊆	⊆	NUM
ejpam-4168	582	22	v	v	NOUN
ejpam-4168	582	23	(	(	PUNCT
ejpam-4168	582	24	g[h	g[h	PROPN
ejpam-4168	582	25	]	]	PUNCT
ejpam-4168	582	26	)	)	PUNCT
ejpam-4168	582	27	.	.	PUNCT
ejpam-4168	583	1	then	then	ADV
ejpam-4168	583	2	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	583	3	is	be	AUX
ejpam-4168	583	4	connected	connect	VERB
ejpam-4168	583	5	if	if	SCONJ
ejpam-4168	583	6	and	and	CCONJ
ejpam-4168	583	7	only	only	ADV
ejpam-4168	583	8	if	if	SCONJ
ejpam-4168	583	9	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	583	10	is	be	AUX
ejpam-4168	583	11	connected	connect	VERB
ejpam-4168	583	12	,	,	PUNCT
ejpam-4168	583	13	where	where	SCONJ
ejpam-4168	583	14	⟨tx⟩	⟨tx⟩	NOUN
ejpam-4168	583	15	is	be	AUX
ejpam-4168	583	16	connected	connect	VERB
ejpam-4168	583	17	whenever	whenever	SCONJ
ejpam-4168	583	18	|s|	|s|	PROPN
ejpam-4168	583	19	=	=	SYM
ejpam-4168	583	20	1	1	X
ejpam-4168	583	21	.	.	PUNCT
ejpam-4168	584	1	proof	proof	NOUN
ejpam-4168	584	2	:	:	PUNCT
ejpam-4168	584	3	suppose	suppose	VERB
ejpam-4168	584	4	that	that	SCONJ
ejpam-4168	584	5	|s|	|s|	PROPN
ejpam-4168	584	6	=	=	SYM
ejpam-4168	584	7	1	1	NUM
ejpam-4168	584	8	,	,	PUNCT
ejpam-4168	584	9	say	say	VERB
ejpam-4168	584	10	s	s	X
ejpam-4168	584	11	=	=	PUNCT
ejpam-4168	584	12	{	{	PUNCT
ejpam-4168	584	13	x	x	NOUN
ejpam-4168	584	14	}	}	PUNCT
ejpam-4168	584	15	.	.	PUNCT
ejpam-4168	585	1	assume	assume	VERB
ejpam-4168	585	2	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	585	3	is	be	AUX
ejpam-4168	585	4	connected	connect	VERB
ejpam-4168	585	5	and	and	CCONJ
ejpam-4168	585	6	let	let	VERB
ejpam-4168	585	7	y	y	PRON
ejpam-4168	585	8	,	,	PUNCT
ejpam-4168	585	9	z	z	PROPN
ejpam-4168	585	10	∈	∈	PROPN
ejpam-4168	585	11	tx	tx	PROPN
ejpam-4168	585	12	with	with	ADP
ejpam-4168	585	13	y	y	PROPN
ejpam-4168	585	14	̸=	̸=	PROPN
ejpam-4168	585	15	z.	z.	PROPN
ejpam-4168	585	16	then	then	ADV
ejpam-4168	585	17	there	there	PRON
ejpam-4168	585	18	exists	exist	VERB
ejpam-4168	585	19	an	an	DET
ejpam-4168	585	20	(	(	PUNCT
ejpam-4168	585	21	x	x	NOUN
ejpam-4168	585	22	,	,	PUNCT
ejpam-4168	585	23	y)-(x	y)-(x	PROPN
ejpam-4168	585	24	,	,	PUNCT
ejpam-4168	585	25	z	z	NOUN
ejpam-4168	585	26	)	)	PUNCT
ejpam-4168	585	27	geodesic	geodesic	NOUN
ejpam-4168	586	1	[	[	X
ejpam-4168	586	2	(	(	PUNCT
ejpam-4168	586	3	x	x	NOUN
ejpam-4168	586	4	,	,	PUNCT
ejpam-4168	586	5	y	y	NOUN
ejpam-4168	586	6	)	)	PUNCT
ejpam-4168	586	7	=	=	SYM
ejpam-4168	587	1	(	(	PUNCT
ejpam-4168	587	2	x1	x1	PROPN
ejpam-4168	587	3	,	,	PUNCT
ejpam-4168	587	4	y1	y1	PROPN
ejpam-4168	587	5	)	)	PUNCT
ejpam-4168	587	6	,	,	PUNCT
ejpam-4168	587	7	(	(	PUNCT
ejpam-4168	587	8	x2	x2	PROPN
ejpam-4168	587	9	,	,	PUNCT
ejpam-4168	587	10	y2	y2	PROPN
ejpam-4168	587	11	)	)	PUNCT
ejpam-4168	587	12	,	,	PUNCT
ejpam-4168	587	13	...	...	PUNCT
ejpam-4168	587	14	,	,	PUNCT
ejpam-4168	587	15	(	(	PUNCT
ejpam-4168	587	16	xn	xn	PROPN
ejpam-4168	587	17	,	,	PUNCT
ejpam-4168	587	18	yn	yn	PROPN
ejpam-4168	587	19	)	)	PUNCT
ejpam-4168	587	20	=	=	SYM
ejpam-4168	587	21	(	(	PUNCT
ejpam-4168	587	22	x	x	X
ejpam-4168	587	23	,	,	PUNCT
ejpam-4168	587	24	z	z	NOUN
ejpam-4168	587	25	)	)	PUNCT
ejpam-4168	587	26	]	]	PUNCT
ejpam-4168	588	1	such	such	ADJ
ejpam-4168	588	2	that	that	SCONJ
ejpam-4168	588	3	(	(	PUNCT
ejpam-4168	588	4	xj	xj	PROPN
ejpam-4168	588	5	,	,	PUNCT
ejpam-4168	588	6	yj	yj	PROPN
ejpam-4168	588	7	)	)	PUNCT
ejpam-4168	588	8	∈	∈	PROPN
ejpam-4168	588	9	c	c	PROPN
ejpam-4168	588	10	for	for	ADP
ejpam-4168	588	11	all	all	DET
ejpam-4168	588	12	j.	j.	PROPN
ejpam-4168	588	13	since	since	SCONJ
ejpam-4168	588	14	x1	x1	PROPN
ejpam-4168	588	15	=	=	SYM
ejpam-4168	588	16	x2	x2	PROPN
ejpam-4168	588	17	=	=	PUNCT
ejpam-4168	588	18	...	...	PUNCT
ejpam-4168	589	1	=	=	PUNCT
ejpam-4168	589	2	xn	xn	PUNCT
ejpam-4168	590	1	=	=	SYM
ejpam-4168	590	2	x	x	X
ejpam-4168	590	3	,	,	PUNCT
ejpam-4168	590	4	[	[	X
ejpam-4168	590	5	y	y	X
ejpam-4168	590	6	=	=	SYM
ejpam-4168	590	7	y1	y1	PROPN
ejpam-4168	590	8	,	,	PUNCT
ejpam-4168	590	9	y2	y2	PROPN
ejpam-4168	590	10	,	,	PUNCT
ejpam-4168	590	11	...	...	PUNCT
ejpam-4168	590	12	,	,	PUNCT
ejpam-4168	590	13	yn	yn	X
ejpam-4168	590	14	=	=	PUNCT
ejpam-4168	591	1	z	z	PROPN
ejpam-4168	591	2	]	]	X
ejpam-4168	591	3	is	be	AUX
ejpam-4168	591	4	a	a	DET
ejpam-4168	591	5	y	y	PROPN
ejpam-4168	591	6	-	-	PROPN
ejpam-4168	591	7	z	z	NOUN
ejpam-4168	591	8	geodesic	geodesic	NOUN
ejpam-4168	591	9	in	in	ADP
ejpam-4168	591	10	h.	h.	PROPN
ejpam-4168	591	11	moreover	moreover	ADV
ejpam-4168	591	12	,	,	PUNCT
ejpam-4168	591	13	since	since	SCONJ
ejpam-4168	591	14	yj	yj	PROPN
ejpam-4168	591	15	∈	∈	PROPN
ejpam-4168	591	16	tx	tx	PROPN
ejpam-4168	591	17	for	for	ADP
ejpam-4168	591	18	all	all	DET
ejpam-4168	591	19	j	j	PROPN
ejpam-4168	591	20	,	,	PUNCT
ejpam-4168	591	21	⟨tx⟩	⟨tx⟩	PROPN
ejpam-4168	591	22	is	be	AUX
ejpam-4168	591	23	connected	connect	VERB
ejpam-4168	591	24	.	.	PUNCT
ejpam-4168	592	1	conversely	conversely	ADV
ejpam-4168	592	2	,	,	PUNCT
ejpam-4168	592	3	assume	assume	VERB
ejpam-4168	592	4	⟨tx⟩	⟨tx⟩	NOUN
ejpam-4168	592	5	is	be	AUX
ejpam-4168	592	6	connected	connect	VERB
ejpam-4168	592	7	and	and	CCONJ
ejpam-4168	592	8	let	let	VERB
ejpam-4168	592	9	(	(	PUNCT
ejpam-4168	592	10	x	x	NOUN
ejpam-4168	592	11	,	,	PUNCT
ejpam-4168	592	12	a	a	PRON
ejpam-4168	592	13	)	)	PUNCT
ejpam-4168	592	14	,	,	PUNCT
ejpam-4168	592	15	(	(	PUNCT
ejpam-4168	592	16	x	x	NOUN
ejpam-4168	592	17	,	,	PUNCT
ejpam-4168	592	18	b	b	X
ejpam-4168	592	19	)	)	PUNCT
ejpam-4168	592	20	∈	∈	PROPN
ejpam-4168	592	21	c.	c.	NOUN
ejpam-4168	592	22	then	then	ADV
ejpam-4168	592	23	there	there	PRON
ejpam-4168	592	24	exists	exist	VERB
ejpam-4168	592	25	an	an	DET
ejpam-4168	592	26	a	a	PRON
ejpam-4168	592	27	-	-	PUNCT
ejpam-4168	592	28	b	b	NOUN
ejpam-4168	592	29	geodesic	geodesic	NOUN
ejpam-4168	592	30	[	[	X
ejpam-4168	592	31	a	a	PRON
ejpam-4168	592	32	=	=	PUNCT
ejpam-4168	592	33	a1	a1	NOUN
ejpam-4168	592	34	,	,	PUNCT
ejpam-4168	592	35	a2	a2	PROPN
ejpam-4168	592	36	,	,	PUNCT
ejpam-4168	592	37	...	...	PUNCT
ejpam-4168	592	38	,	,	PUNCT
ejpam-4168	592	39	am	be	AUX
ejpam-4168	592	40	=	=	SYM
ejpam-4168	592	41	b	b	X
ejpam-4168	592	42	]	]	X
ejpam-4168	592	43	in	in	ADP
ejpam-4168	592	44	h	h	NOUN
ejpam-4168	592	45	,	,	PUNCT
ejpam-4168	592	46	with	with	ADP
ejpam-4168	592	47	aj	aj	PROPN
ejpam-4168	592	48	∈	∈	PROPN
ejpam-4168	592	49	tx	tx	PROPN
ejpam-4168	592	50	for	for	ADP
ejpam-4168	592	51	all	all	DET
ejpam-4168	592	52	j.	j.	PROPN
ejpam-4168	592	53	consequently	consequently	ADV
ejpam-4168	592	54	,	,	PUNCT
ejpam-4168	592	55	[	[	X
ejpam-4168	592	56	(	(	PUNCT
ejpam-4168	592	57	x	x	X
ejpam-4168	592	58	,	,	PUNCT
ejpam-4168	592	59	a	a	PRON
ejpam-4168	592	60	)	)	PUNCT
ejpam-4168	593	1	=	=	SYM
ejpam-4168	593	2	(	(	PUNCT
ejpam-4168	593	3	x	x	NOUN
ejpam-4168	593	4	,	,	PUNCT
ejpam-4168	593	5	a1	a1	NOUN
ejpam-4168	593	6	)	)	PUNCT
ejpam-4168	593	7	,	,	PUNCT
ejpam-4168	593	8	(	(	PUNCT
ejpam-4168	593	9	x	x	NOUN
ejpam-4168	593	10	,	,	PUNCT
ejpam-4168	593	11	a2	a2	PROPN
ejpam-4168	593	12	)	)	PUNCT
ejpam-4168	593	13	,	,	PUNCT
ejpam-4168	593	14	...	...	PUNCT
ejpam-4168	593	15	,	,	PUNCT
ejpam-4168	593	16	(	(	PUNCT
ejpam-4168	593	17	x	x	X
ejpam-4168	593	18	,	,	PUNCT
ejpam-4168	593	19	am	be	AUX
ejpam-4168	593	20	)	)	PUNCT
ejpam-4168	593	21	=	=	SYM
ejpam-4168	593	22	(	(	PUNCT
ejpam-4168	593	23	x	x	X
ejpam-4168	593	24	,	,	PUNCT
ejpam-4168	593	25	b	b	NOUN
ejpam-4168	593	26	)	)	PUNCT
ejpam-4168	593	27	]	]	PUNCT
ejpam-4168	593	28	is	be	AUX
ejpam-4168	593	29	an	an	DET
ejpam-4168	593	30	(	(	PUNCT
ejpam-4168	593	31	x	x	NOUN
ejpam-4168	593	32	,	,	PUNCT
ejpam-4168	593	33	a)-(x	a)-(x	PROPN
ejpam-4168	593	34	,	,	PUNCT
ejpam-4168	593	35	b	b	NOUN
ejpam-4168	593	36	)	)	PUNCT
ejpam-4168	593	37	geodesic	geodesic	NOUN
ejpam-4168	593	38	in	in	ADP
ejpam-4168	593	39	g[h	g[h	PROPN
ejpam-4168	593	40	]	]	PUNCT
ejpam-4168	593	41	with	with	ADP
ejpam-4168	593	42	(	(	PUNCT
ejpam-4168	593	43	x	x	NOUN
ejpam-4168	593	44	,	,	PUNCT
ejpam-4168	593	45	aj	aj	PROPN
ejpam-4168	593	46	)	)	PUNCT
ejpam-4168	593	47	∈	∈	PROPN
ejpam-4168	593	48	c	c	PROPN
ejpam-4168	593	49	for	for	ADP
ejpam-4168	593	50	all	all	DET
ejpam-4168	593	51	j.	j.	PROPN
ejpam-4168	593	52	hence	hence	ADV
ejpam-4168	593	53	,	,	PUNCT
ejpam-4168	593	54	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	593	55	is	be	AUX
ejpam-4168	593	56	connected	connect	VERB
ejpam-4168	593	57	.	.	PUNCT
ejpam-4168	594	1	now	now	ADV
ejpam-4168	594	2	supppose	supppose	VERB
ejpam-4168	594	3	that	that	SCONJ
ejpam-4168	594	4	|s|	|s|	VERB
ejpam-4168	594	5	≥	≥	NOUN
ejpam-4168	594	6	2	2	NUM
ejpam-4168	594	7	.	.	X
ejpam-4168	594	8	assume	assume	VERB
ejpam-4168	594	9	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	594	10	is	be	AUX
ejpam-4168	594	11	connected	connect	VERB
ejpam-4168	594	12	.	.	PUNCT
ejpam-4168	595	1	let	let	VERB
ejpam-4168	595	2	x	x	PRON
ejpam-4168	595	3	,	,	PUNCT
ejpam-4168	595	4	y	y	PROPN
ejpam-4168	595	5	∈	∈	PROPN
ejpam-4168	595	6	s	s	PART
ejpam-4168	595	7	with	with	SCONJ
ejpam-4168	595	8	x	x	PART
ejpam-4168	595	9	̸=	̸=	PROPN
ejpam-4168	595	10	y.	y.	NOUN
ejpam-4168	595	11	pick	pick	VERB
ejpam-4168	595	12	z	z	PROPN
ejpam-4168	595	13	∈	∈	PROPN
ejpam-4168	595	14	tx	tx	PROPN
ejpam-4168	595	15	and	and	CCONJ
ejpam-4168	595	16	w	w	PROPN
ejpam-4168	595	17	∈	∈	PROPN
ejpam-4168	596	1	ty	ty	INTJ
ejpam-4168	596	2	.	.	PUNCT
ejpam-4168	597	1	then	then	ADV
ejpam-4168	597	2	there	there	PRON
ejpam-4168	597	3	exists	exist	VERB
ejpam-4168	597	4	an	an	DET
ejpam-4168	597	5	(	(	PUNCT
ejpam-4168	597	6	x	x	NOUN
ejpam-4168	597	7	,	,	PUNCT
ejpam-4168	597	8	z)-(y	z)-(y	PROPN
ejpam-4168	597	9	,	,	PUNCT
ejpam-4168	597	10	w	w	NOUN
ejpam-4168	597	11	)	)	PUNCT
ejpam-4168	597	12	geodesic	geodesic	NOUN
ejpam-4168	597	13	,	,	PUNCT
ejpam-4168	597	14	say	say	VERB
ejpam-4168	597	15	p	p	X
ejpam-4168	597	16	=	=	PROPN
ejpam-4168	597	17	j.m	j.m	PROPN
ejpam-4168	597	18	.	.	PROPN
ejpam-4168	597	19	cabulao	cabulao	PROPN
ejpam-4168	597	20	,	,	PUNCT
ejpam-4168	597	21	r.	r.	PROPN
ejpam-4168	597	22	isla	isla	PROPN
ejpam-4168	597	23	/	/	SYM
ejpam-4168	597	24	eur	eur	PROPN
ejpam-4168	597	25	.	.	PUNCT
ejpam-4168	598	1	j.	j.	PROPN
ejpam-4168	598	2	pure	pure	PROPN
ejpam-4168	598	3	appl	appl	PROPN
ejpam-4168	598	4	.	.	PROPN
ejpam-4168	598	5	math	math	PROPN
ejpam-4168	598	6	,	,	PUNCT
ejpam-4168	598	7	14	14	NUM
ejpam-4168	598	8	(	(	PUNCT
ejpam-4168	598	9	4	4	NUM
ejpam-4168	598	10	)	)	PUNCT
ejpam-4168	598	11	(	(	PUNCT
ejpam-4168	598	12	2021	2021	NUM
ejpam-4168	598	13	)	)	PUNCT
ejpam-4168	598	14	,	,	PUNCT
ejpam-4168	598	15	1490	1490	NUM
ejpam-4168	598	16	-	-	SYM
ejpam-4168	598	17	1506	1506	NUM
ejpam-4168	598	18	1501	1501	NUM
ejpam-4168	598	19	[	[	X
ejpam-4168	598	20	(	(	PUNCT
ejpam-4168	598	21	x	x	X
ejpam-4168	598	22	,	,	PUNCT
ejpam-4168	598	23	z	z	NOUN
ejpam-4168	598	24	)	)	PUNCT
ejpam-4168	598	25	=	=	SYM
ejpam-4168	598	26	(	(	PUNCT
ejpam-4168	598	27	x1	x1	PROPN
ejpam-4168	598	28	,	,	PUNCT
ejpam-4168	598	29	y1	y1	PROPN
ejpam-4168	598	30	)	)	PUNCT
ejpam-4168	598	31	,	,	PUNCT
ejpam-4168	598	32	..	..	PUNCT
ejpam-4168	598	33	,	,	PUNCT
ejpam-4168	598	34	(	(	PUNCT
ejpam-4168	598	35	xn	xn	PROPN
ejpam-4168	598	36	,	,	PUNCT
ejpam-4168	598	37	yn	yn	PROPN
ejpam-4168	598	38	)	)	PUNCT
ejpam-4168	598	39	=	=	PUNCT
ejpam-4168	598	40	(	(	PUNCT
ejpam-4168	598	41	y	y	PROPN
ejpam-4168	598	42	,	,	PUNCT
ejpam-4168	598	43	w	w	NOUN
ejpam-4168	598	44	)	)	PUNCT
ejpam-4168	598	45	]	]	PUNCT
ejpam-4168	598	46	in	in	ADP
ejpam-4168	598	47	g[h	g[h	PROPN
ejpam-4168	598	48	]	]	PUNCT
ejpam-4168	598	49	for	for	ADP
ejpam-4168	598	50	which	which	PRON
ejpam-4168	598	51	(	(	PUNCT
ejpam-4168	598	52	xj	xj	PROPN
ejpam-4168	598	53	,	,	PUNCT
ejpam-4168	598	54	yj	yj	PROPN
ejpam-4168	598	55	)	)	PUNCT
ejpam-4168	598	56	∈	∈	PROPN
ejpam-4168	598	57	c	c	PROPN
ejpam-4168	598	58	for	for	ADP
ejpam-4168	598	59	all	all	DET
ejpam-4168	598	60	j.	j.	PROPN
ejpam-4168	598	61	since	since	SCONJ
ejpam-4168	598	62	p	p	PROPN
ejpam-4168	598	63	is	be	AUX
ejpam-4168	598	64	a	a	DET
ejpam-4168	598	65	geodesic	geodesic	NOUN
ejpam-4168	598	66	and	and	CCONJ
ejpam-4168	598	67	|s|	|s|	PROPN
ejpam-4168	598	68	≥	≥	NOUN
ejpam-4168	598	69	2	2	NUM
ejpam-4168	598	70	,	,	PUNCT
ejpam-4168	598	71	[	[	X
ejpam-4168	598	72	x	x	X
ejpam-4168	598	73	=	=	SYM
ejpam-4168	598	74	x1	x1	PROPN
ejpam-4168	598	75	,	,	PUNCT
ejpam-4168	598	76	x2	x2	PROPN
ejpam-4168	598	77	,	,	PUNCT
ejpam-4168	598	78	...	...	PUNCT
ejpam-4168	598	79	,	,	PUNCT
ejpam-4168	598	80	xn	xn	PUNCT
ejpam-4168	599	1	=	=	SYM
ejpam-4168	599	2	y	y	PROPN
ejpam-4168	599	3	]	]	PUNCT
ejpam-4168	599	4	is	be	AUX
ejpam-4168	599	5	a	a	DET
ejpam-4168	599	6	an	an	DET
ejpam-4168	599	7	x	x	NOUN
ejpam-4168	599	8	-	-	NOUN
ejpam-4168	599	9	y	y	ADJ
ejpam-4168	599	10	geodesic	geodesic	NOUN
ejpam-4168	599	11	in	in	ADP
ejpam-4168	599	12	g	g	PROPN
ejpam-4168	599	13	with	with	ADP
ejpam-4168	599	14	xj	xj	PROPN
ejpam-4168	599	15	∈	∈	PROPN
ejpam-4168	599	16	s	s	PROPN
ejpam-4168	599	17	for	for	ADP
ejpam-4168	599	18	all	all	DET
ejpam-4168	599	19	j.	j.	PROPN
ejpam-4168	599	20	hence	hence	PROPN
ejpam-4168	599	21	,	,	PUNCT
ejpam-4168	599	22	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	599	23	is	be	AUX
ejpam-4168	599	24	connected	connect	VERB
ejpam-4168	599	25	.	.	PUNCT
ejpam-4168	600	1	conversely	conversely	ADV
ejpam-4168	600	2	,	,	PUNCT
ejpam-4168	600	3	suppose	suppose	VERB
ejpam-4168	600	4	that	that	SCONJ
ejpam-4168	600	5	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	600	6	is	be	AUX
ejpam-4168	600	7	connected	connect	VERB
ejpam-4168	600	8	and	and	CCONJ
ejpam-4168	600	9	let	let	VERB
ejpam-4168	600	10	(	(	PUNCT
ejpam-4168	600	11	x	x	NOUN
ejpam-4168	600	12	,	,	PUNCT
ejpam-4168	600	13	y	y	PROPN
ejpam-4168	600	14	)	)	PUNCT
ejpam-4168	600	15	,	,	PUNCT
ejpam-4168	600	16	(	(	PUNCT
ejpam-4168	600	17	u	u	NOUN
ejpam-4168	600	18	,	,	PUNCT
ejpam-4168	600	19	v	v	NOUN
ejpam-4168	600	20	)	)	PUNCT
ejpam-4168	600	21	∈	∈	PROPN
ejpam-4168	600	22	c	c	NOUN
ejpam-4168	600	23	with	with	ADP
ejpam-4168	600	24	(	(	PUNCT
ejpam-4168	600	25	x	x	NOUN
ejpam-4168	600	26	,	,	PUNCT
ejpam-4168	600	27	y	y	NOUN
ejpam-4168	600	28	)	)	PUNCT
ejpam-4168	600	29	̸=	̸=	PROPN
ejpam-4168	600	30	(	(	PUNCT
ejpam-4168	600	31	u	u	NOUN
ejpam-4168	600	32	,	,	PUNCT
ejpam-4168	600	33	v	v	NOUN
ejpam-4168	600	34	)	)	PUNCT
ejpam-4168	600	35	.	.	PUNCT
ejpam-4168	600	36	suppose	suppose	VERB
ejpam-4168	600	37	that	that	SCONJ
ejpam-4168	600	38	x	x	X
ejpam-4168	600	39	=	=	PUNCT
ejpam-4168	600	40	u.	u.	PROPN
ejpam-4168	600	41	since	since	SCONJ
ejpam-4168	600	42	|s|	|s|	NOUN
ejpam-4168	600	43	≥	≥	PROPN
ejpam-4168	600	44	2	2	NUM
ejpam-4168	600	45	and	and	CCONJ
ejpam-4168	600	46	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	600	47	is	be	AUX
ejpam-4168	600	48	connected	connect	VERB
ejpam-4168	600	49	,	,	PUNCT
ejpam-4168	600	50	there	there	PRON
ejpam-4168	600	51	exists	exist	VERB
ejpam-4168	600	52	a	a	DET
ejpam-4168	600	53	w	w	PROPN
ejpam-4168	600	54	∈	∈	PROPN
ejpam-4168	600	55	s\{x	s\{x	PROPN
ejpam-4168	600	56	}	}	PUNCT
ejpam-4168	600	57	such	such	ADJ
ejpam-4168	600	58	that	that	SCONJ
ejpam-4168	600	59	xw	xw	PROPN
ejpam-4168	600	60	∈	∈	PROPN
ejpam-4168	600	61	e(g	e(g	PROPN
ejpam-4168	600	62	)	)	PUNCT
ejpam-4168	600	63	.	.	PUNCT
ejpam-4168	601	1	pick	pick	VERB
ejpam-4168	601	2	z	z	PROPN
ejpam-4168	601	3	∈	∈	PROPN
ejpam-4168	601	4	tw	tw	PROPN
ejpam-4168	601	5	.	.	PUNCT
ejpam-4168	602	1	then	then	ADV
ejpam-4168	602	2	(	(	PUNCT
ejpam-4168	602	3	w	w	PROPN
ejpam-4168	602	4	,	,	PUNCT
ejpam-4168	602	5	z	z	NOUN
ejpam-4168	602	6	)	)	PUNCT
ejpam-4168	602	7	∈	∈	PROPN
ejpam-4168	602	8	c	c	NOUN
ejpam-4168	602	9	and	and	CCONJ
ejpam-4168	602	10	[	[	X
ejpam-4168	602	11	(	(	PUNCT
ejpam-4168	602	12	x	x	NOUN
ejpam-4168	602	13	,	,	PUNCT
ejpam-4168	602	14	y	y	PROPN
ejpam-4168	602	15	)	)	PUNCT
ejpam-4168	602	16	,	,	PUNCT
ejpam-4168	602	17	(	(	PUNCT
ejpam-4168	602	18	w	w	PROPN
ejpam-4168	602	19	,	,	PUNCT
ejpam-4168	602	20	z	z	NOUN
ejpam-4168	602	21	)	)	PUNCT
ejpam-4168	602	22	,	,	PUNCT
ejpam-4168	602	23	(	(	PUNCT
ejpam-4168	602	24	u	u	NOUN
ejpam-4168	602	25	,	,	PUNCT
ejpam-4168	602	26	v	v	NOUN
ejpam-4168	602	27	)	)	PUNCT
ejpam-4168	602	28	]	]	PUNCT
ejpam-4168	602	29	is	be	AUX
ejpam-4168	602	30	a	a	DET
ejpam-4168	602	31	geodesic	geodesic	NOUN
ejpam-4168	602	32	in	in	ADP
ejpam-4168	602	33	⟨c⟩.	⟨c⟩.	PROPN
ejpam-4168	602	34	suppose	suppose	VERB
ejpam-4168	602	35	that	that	SCONJ
ejpam-4168	602	36	x	x	PROPN
ejpam-4168	602	37	̸=	̸=	PROPN
ejpam-4168	602	38	u.	u.	VERB
ejpam-4168	602	39	since	since	SCONJ
ejpam-4168	602	40	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	602	41	is	be	AUX
ejpam-4168	602	42	connected	connect	VERB
ejpam-4168	602	43	,	,	PUNCT
ejpam-4168	602	44	there	there	PRON
ejpam-4168	602	45	exists	exist	VERB
ejpam-4168	602	46	an	an	DET
ejpam-4168	602	47	x	x	NOUN
ejpam-4168	602	48	-	-	PUNCT
ejpam-4168	602	49	u	u	NOUN
ejpam-4168	602	50	geodesic	geodesic	NOUN
ejpam-4168	603	1	[	[	X
ejpam-4168	603	2	x	x	X
ejpam-4168	603	3	=	=	SYM
ejpam-4168	603	4	x1	x1	PROPN
ejpam-4168	603	5	,	,	PUNCT
ejpam-4168	603	6	x2	x2	PROPN
ejpam-4168	603	7	,	,	PUNCT
ejpam-4168	603	8	...	...	PUNCT
ejpam-4168	603	9	,	,	PUNCT
ejpam-4168	603	10	xn	xn	PUNCT
ejpam-4168	604	1	=	=	SYM
ejpam-4168	604	2	u	u	NOUN
ejpam-4168	604	3	]	]	PUNCT
ejpam-4168	604	4	in	in	ADP
ejpam-4168	604	5	g	g	NOUN
ejpam-4168	604	6	for	for	ADP
ejpam-4168	604	7	which	which	PRON
ejpam-4168	604	8	xj	xj	PROPN
ejpam-4168	604	9	∈	∈	PROPN
ejpam-4168	604	10	s	s	X
ejpam-4168	604	11	for	for	ADP
ejpam-4168	604	12	all	all	DET
ejpam-4168	604	13	j.	j.	PROPN
ejpam-4168	604	14	pick	pick	PROPN
ejpam-4168	604	15	,	,	PUNCT
ejpam-4168	604	16	for	for	ADP
ejpam-4168	604	17	each	each	DET
ejpam-4168	604	18	j	j	PROPN
ejpam-4168	604	19	,	,	PUNCT
ejpam-4168	604	20	yj	yj	PROPN
ejpam-4168	604	21	∈	∈	PROPN
ejpam-4168	604	22	txj	txj	NOUN
ejpam-4168	604	23	,	,	PUNCT
ejpam-4168	604	24	where	where	SCONJ
ejpam-4168	604	25	y1	y1	NOUN
ejpam-4168	604	26	=	=	PUNCT
ejpam-4168	604	27	y	y	PROPN
ejpam-4168	604	28	and	and	CCONJ
ejpam-4168	604	29	yn	yn	PROPN
ejpam-4168	604	30	=	=	PUNCT
ejpam-4168	605	1	v.	v.	CCONJ
ejpam-4168	605	2	then	then	ADV
ejpam-4168	605	3	[	[	X
ejpam-4168	605	4	(	(	PUNCT
ejpam-4168	605	5	x	x	NOUN
ejpam-4168	605	6	,	,	PUNCT
ejpam-4168	605	7	y	y	NOUN
ejpam-4168	605	8	)	)	PUNCT
ejpam-4168	605	9	=	=	SYM
ejpam-4168	605	10	(	(	PUNCT
ejpam-4168	605	11	x1	x1	PROPN
ejpam-4168	605	12	,	,	PUNCT
ejpam-4168	605	13	y1	y1	PROPN
ejpam-4168	605	14	)	)	PUNCT
ejpam-4168	605	15	,	,	PUNCT
ejpam-4168	605	16	(	(	PUNCT
ejpam-4168	605	17	x2	x2	PROPN
ejpam-4168	605	18	,	,	PUNCT
ejpam-4168	605	19	y2	y2	PROPN
ejpam-4168	605	20	)	)	PUNCT
ejpam-4168	605	21	,	,	PUNCT
ejpam-4168	605	22	...	...	PUNCT
ejpam-4168	605	23	,	,	PUNCT
ejpam-4168	605	24	(	(	PUNCT
ejpam-4168	605	25	xn	xn	PROPN
ejpam-4168	605	26	,	,	PUNCT
ejpam-4168	605	27	yn	yn	PROPN
ejpam-4168	605	28	)	)	PUNCT
ejpam-4168	605	29	=	=	SYM
ejpam-4168	605	30	(	(	PUNCT
ejpam-4168	605	31	u	u	NOUN
ejpam-4168	605	32	,	,	PUNCT
ejpam-4168	605	33	v	v	NOUN
ejpam-4168	605	34	)	)	PUNCT
ejpam-4168	605	35	]	]	PUNCT
ejpam-4168	605	36	is	be	AUX
ejpam-4168	605	37	an	an	DET
ejpam-4168	605	38	(	(	PUNCT
ejpam-4168	605	39	x	x	NOUN
ejpam-4168	605	40	,	,	PUNCT
ejpam-4168	605	41	y)-(u	y)-(u	PROPN
ejpam-4168	605	42	,	,	PUNCT
ejpam-4168	605	43	v	v	NOUN
ejpam-4168	605	44	)	)	PUNCT
ejpam-4168	605	45	geodesic	geodesic	NOUN
ejpam-4168	605	46	in	in	ADP
ejpam-4168	605	47	g[h	g[h	PROPN
ejpam-4168	605	48	]	]	PUNCT
ejpam-4168	605	49	with	with	ADP
ejpam-4168	605	50	(	(	PUNCT
ejpam-4168	605	51	xj	xj	PROPN
ejpam-4168	605	52	,	,	PUNCT
ejpam-4168	605	53	yj	yj	PROPN
ejpam-4168	605	54	)	)	PUNCT
ejpam-4168	605	55	∈	∈	PROPN
ejpam-4168	605	56	c	c	PROPN
ejpam-4168	605	57	for	for	ADP
ejpam-4168	605	58	all	all	DET
ejpam-4168	605	59	j.	j.	PROPN
ejpam-4168	605	60	thus	thus	ADV
ejpam-4168	605	61	,	,	PUNCT
ejpam-4168	605	62	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	605	63	is	be	AUX
ejpam-4168	605	64	connected	connect	VERB
ejpam-4168	605	65	.	.	PUNCT
ejpam-4168	606	1	theorem	theorem	ADJ
ejpam-4168	606	2	6	6	NUM
ejpam-4168	606	3	.	.	PUNCT
ejpam-4168	607	1	let	let	VERB
ejpam-4168	607	2	g	g	NOUN
ejpam-4168	607	3	and	and	CCONJ
ejpam-4168	607	4	h	h	NOUN
ejpam-4168	607	5	be	be	AUX
ejpam-4168	607	6	nontrivial	nontrivial	ADJ
ejpam-4168	607	7	connected	connect	VERB
ejpam-4168	607	8	graphs	graph	NOUN
ejpam-4168	607	9	,	,	PUNCT
ejpam-4168	607	10	α	α	PROPN
ejpam-4168	607	11	∈	∈	PROPN
ejpam-4168	607	12	(	(	PUNCT
ejpam-4168	607	13	0	0	NUM
ejpam-4168	607	14	,	,	PUNCT
ejpam-4168	607	15	1	1	NUM
ejpam-4168	607	16	]	]	PUNCT
ejpam-4168	607	17	,	,	PUNCT
ejpam-4168	607	18	and	and	CCONJ
ejpam-4168	607	19	c	c	X
ejpam-4168	607	20	=	=	SYM
ejpam-4168	608	1	⋃	⋃	PROPN
ejpam-4168	608	2	x∈s	x∈s	NOUN
ejpam-4168	608	3	(	(	PUNCT
ejpam-4168	608	4	{	{	PUNCT
ejpam-4168	608	5	x}×	x}×	PROPN
ejpam-4168	608	6	tx	tx	PROPN
ejpam-4168	608	7	)	)	PUNCT
ejpam-4168	608	8	⊆	⊆	NUM
ejpam-4168	608	9	v	v	NOUN
ejpam-4168	608	10	(	(	PUNCT
ejpam-4168	608	11	g[h	g[h	PROPN
ejpam-4168	608	12	]	]	PUNCT
ejpam-4168	608	13	)	)	PUNCT
ejpam-4168	608	14	.	.	PUNCT
ejpam-4168	609	1	(	(	PUNCT
ejpam-4168	609	2	i	i	NOUN
ejpam-4168	609	3	)	)	PUNCT
ejpam-4168	609	4	suppose	suppose	VERB
ejpam-4168	609	5	that	that	SCONJ
ejpam-4168	609	6	s	s	VERB
ejpam-4168	609	7	=	=	X
ejpam-4168	609	8	{	{	PUNCT
ejpam-4168	609	9	x	x	NOUN
ejpam-4168	609	10	}	}	PUNCT
ejpam-4168	609	11	.	.	PUNCT
ejpam-4168	610	1	if	if	SCONJ
ejpam-4168	610	2	c	c	PROPN
ejpam-4168	610	3	is	be	AUX
ejpam-4168	610	4	a	a	DET
ejpam-4168	610	5	connected	connected	ADJ
ejpam-4168	610	6	α	α	NOUN
ejpam-4168	610	7	-	-	ADJ
ejpam-4168	610	8	partial	partial	ADJ
ejpam-4168	610	9	dominating	dominating	NOUN
ejpam-4168	610	10	set	set	VERB
ejpam-4168	610	11	in	in	ADP
ejpam-4168	610	12	g[h	g[h	PROPN
ejpam-4168	610	13	]	]	PUNCT
ejpam-4168	610	14	,	,	PUNCT
ejpam-4168	610	15	then	then	ADV
ejpam-4168	610	16	s	s	VERB
ejpam-4168	610	17	is	be	AUX
ejpam-4168	610	18	an	an	DET
ejpam-4168	610	19	α	α	NOUN
ejpam-4168	610	20	-	-	ADJ
ejpam-4168	610	21	partial	partial	ADJ
ejpam-4168	610	22	dominating	dominating	NOUN
ejpam-4168	610	23	set	set	VERB
ejpam-4168	610	24	in	in	ADP
ejpam-4168	610	25	g	g	PROPN
ejpam-4168	610	26	and	and	CCONJ
ejpam-4168	610	27	⟨tx⟩	⟨tx⟩	NOUN
ejpam-4168	610	28	is	be	AUX
ejpam-4168	610	29	connected	connect	VERB
ejpam-4168	610	30	.	.	PUNCT
ejpam-4168	611	1	moreover	moreover	ADV
ejpam-4168	611	2	,	,	PUNCT
ejpam-4168	611	3	if	if	SCONJ
ejpam-4168	611	4	s	s	VERB
ejpam-4168	611	5	is	be	AUX
ejpam-4168	611	6	an	an	DET
ejpam-4168	611	7	α	α	NOUN
ejpam-4168	611	8	-	-	ADJ
ejpam-4168	611	9	partial	partial	ADJ
ejpam-4168	611	10	dominating	dominating	NOUN
ejpam-4168	611	11	set	set	VERB
ejpam-4168	611	12	in	in	ADP
ejpam-4168	611	13	g	g	PROPN
ejpam-4168	611	14	and	and	CCONJ
ejpam-4168	611	15	tx	tx	PROPN
ejpam-4168	611	16	is	be	AUX
ejpam-4168	611	17	a	a	DET
ejpam-4168	611	18	connected	connected	ADJ
ejpam-4168	611	19	dominating	dominating	NOUN
ejpam-4168	611	20	set	set	VERB
ejpam-4168	611	21	in	in	ADP
ejpam-4168	611	22	h	h	NOUN
ejpam-4168	611	23	,	,	PUNCT
ejpam-4168	611	24	then	then	ADV
ejpam-4168	611	25	c	c	PROPN
ejpam-4168	611	26	is	be	AUX
ejpam-4168	611	27	a	a	DET
ejpam-4168	611	28	connected	connected	ADJ
ejpam-4168	611	29	α	α	NOUN
ejpam-4168	611	30	-	-	ADJ
ejpam-4168	611	31	partial	partial	ADJ
ejpam-4168	611	32	dominating	dominating	NOUN
ejpam-4168	611	33	set	set	VERB
ejpam-4168	611	34	in	in	ADP
ejpam-4168	611	35	g[h	g[h	PROPN
ejpam-4168	611	36	]	]	PUNCT
ejpam-4168	611	37	.	.	PUNCT
ejpam-4168	612	1	(	(	PUNCT
ejpam-4168	612	2	ii	ii	NOUN
ejpam-4168	612	3	)	)	PUNCT
ejpam-4168	612	4	suppose	suppose	VERB
ejpam-4168	612	5	that	that	SCONJ
ejpam-4168	612	6	|s|	|s|	VERB
ejpam-4168	612	7	≥	≥	NOUN
ejpam-4168	612	8	2	2	NUM
ejpam-4168	612	9	.	.	PUNCT
ejpam-4168	613	1	then	then	ADV
ejpam-4168	613	2	c	c	PROPN
ejpam-4168	613	3	is	be	AUX
ejpam-4168	613	4	a	a	DET
ejpam-4168	613	5	connected	connected	ADJ
ejpam-4168	613	6	α	α	NOUN
ejpam-4168	613	7	-	-	ADJ
ejpam-4168	613	8	partial	partial	ADJ
ejpam-4168	613	9	dominating	dominating	NOUN
ejpam-4168	613	10	set	set	VERB
ejpam-4168	613	11	in	in	ADP
ejpam-4168	613	12	g[h	g[h	PROPN
ejpam-4168	613	13	]	]	PUNCT
ejpam-4168	613	14	if	if	SCONJ
ejpam-4168	613	15	and	and	CCONJ
ejpam-4168	613	16	only	only	ADV
ejpam-4168	613	17	if	if	SCONJ
ejpam-4168	613	18	s	s	NOUN
ejpam-4168	613	19	is	be	AUX
ejpam-4168	613	20	a	a	DET
ejpam-4168	613	21	connected	connected	ADJ
ejpam-4168	613	22	α	α	NOUN
ejpam-4168	613	23	-	-	ADJ
ejpam-4168	613	24	partial	partial	ADJ
ejpam-4168	613	25	dominating	dominating	NOUN
ejpam-4168	613	26	set	set	VERB
ejpam-4168	613	27	in	in	ADP
ejpam-4168	613	28	g.	g.	PROPN
ejpam-4168	613	29	proof	proof	NOUN
ejpam-4168	613	30	:	:	PUNCT
ejpam-4168	613	31	let	let	VERB
ejpam-4168	613	32	|v	|v	PROPN
ejpam-4168	613	33	(	(	PUNCT
ejpam-4168	613	34	g)|	g)|	VERB
ejpam-4168	613	35	=	=	PUNCT
ejpam-4168	613	36	m	m	NOUN
ejpam-4168	613	37	and	and	CCONJ
ejpam-4168	613	38	|v	|v	PROPN
ejpam-4168	613	39	(	(	PUNCT
ejpam-4168	613	40	h)|	h)|	NOUN
ejpam-4168	613	41	=	=	PROPN
ejpam-4168	613	42	n.	n.	NOUN
ejpam-4168	613	43	(	(	PUNCT
ejpam-4168	613	44	i	i	NOUN
ejpam-4168	613	45	)	)	PUNCT
ejpam-4168	613	46	suppose	suppose	VERB
ejpam-4168	613	47	that	that	SCONJ
ejpam-4168	613	48	c	c	PROPN
ejpam-4168	613	49	is	be	AUX
ejpam-4168	613	50	a	a	DET
ejpam-4168	613	51	connected	connected	ADJ
ejpam-4168	613	52	α	α	NOUN
ejpam-4168	613	53	-	-	ADJ
ejpam-4168	613	54	partial	partial	ADJ
ejpam-4168	613	55	dominating	dominating	NOUN
ejpam-4168	613	56	set	set	VERB
ejpam-4168	613	57	in	in	ADP
ejpam-4168	613	58	g[h	g[h	PROPN
ejpam-4168	613	59	]	]	PUNCT
ejpam-4168	613	60	.	.	PUNCT
ejpam-4168	614	1	then	then	ADV
ejpam-4168	614	2	,	,	PUNCT
ejpam-4168	614	3	|ng[h][c]|	|ng[h][c]|	NOUN
ejpam-4168	614	4	=	=	SYM
ejpam-4168	614	5	|ng(x)|n+	|ng(x)|n+	NOUN
ejpam-4168	614	6	|nh	|nh	X
ejpam-4168	615	1	[	[	PUNCT
ejpam-4168	615	2	tx]|	tx]|	ADP
ejpam-4168	615	3	≥	≥	NOUN
ejpam-4168	615	4	αmn	αmn	ADJ
ejpam-4168	615	5	,	,	PUNCT
ejpam-4168	615	6	thus	thus	ADV
ejpam-4168	615	7	|ng(x)|n	|ng(x)|n	X
ejpam-4168	615	8	≥	≥	NOUN
ejpam-4168	615	9	αmn−	αmn−	ADV
ejpam-4168	615	10	|nh	|nh	NUM
ejpam-4168	615	11	[	[	PUNCT
ejpam-4168	615	12	tx]|	tx]|	ADP
ejpam-4168	615	13	≥	≥	NOUN
ejpam-4168	615	14	αmn−	αmn−	NUM
ejpam-4168	615	15	n.	n.	NOUN
ejpam-4168	615	16	hence	hence	ADV
ejpam-4168	615	17	,	,	PUNCT
ejpam-4168	615	18	|ng(x)|	|ng(x)|	PROPN
ejpam-4168	615	19	≥	≥	NUM
ejpam-4168	615	20	αm−	αm−	NUM
ejpam-4168	615	21	1	1	NUM
ejpam-4168	615	22	,	,	PUNCT
ejpam-4168	615	23	thus	thus	ADV
ejpam-4168	615	24	|ng[s]|	|ng[s]|	X
ejpam-4168	615	25	=	=	SYM
ejpam-4168	615	26	|ng[x]|	|ng[x]|	PROPN
ejpam-4168	615	27	≥	≥	NUM
ejpam-4168	615	28	(	(	PUNCT
ejpam-4168	615	29	αm−	αm−	X
ejpam-4168	615	30	1	1	NUM
ejpam-4168	615	31	)	)	PUNCT
ejpam-4168	615	32	+	+	NUM
ejpam-4168	615	33	1	1	NUM
ejpam-4168	615	34	,	,	PUNCT
ejpam-4168	615	35	so	so	ADV
ejpam-4168	615	36	|ng[s]|	|ng[s]|	PROPN
ejpam-4168	615	37	≥	≥	PRON
ejpam-4168	615	38	αm	αm	NOUN
ejpam-4168	615	39	.	.	PUNCT
ejpam-4168	616	1	thus	thus	ADV
ejpam-4168	616	2	,	,	PUNCT
ejpam-4168	616	3	s	s	VERB
ejpam-4168	616	4	is	be	AUX
ejpam-4168	616	5	an	an	DET
ejpam-4168	616	6	α	α	NOUN
ejpam-4168	616	7	-	-	ADJ
ejpam-4168	616	8	partial	partial	ADJ
ejpam-4168	616	9	dominating	dominating	NOUN
ejpam-4168	616	10	set	set	VERB
ejpam-4168	616	11	in	in	ADP
ejpam-4168	616	12	g.	g.	PROPN
ejpam-4168	616	13	furthermore	furthermore	ADV
ejpam-4168	616	14	,	,	PUNCT
ejpam-4168	616	15	⟨tx⟩	⟨tx⟩	PROPN
ejpam-4168	616	16	is	be	AUX
ejpam-4168	616	17	connected	connect	VERB
ejpam-4168	616	18	by	by	ADP
ejpam-4168	616	19	lemma	lemma	PROPN
ejpam-4168	616	20	1	1	NUM
ejpam-4168	616	21	.	.	PUNCT
ejpam-4168	617	1	next	next	ADV
ejpam-4168	617	2	,	,	PUNCT
ejpam-4168	617	3	suppose	suppose	VERB
ejpam-4168	617	4	that	that	SCONJ
ejpam-4168	617	5	s	s	VERB
ejpam-4168	617	6	is	be	AUX
ejpam-4168	617	7	an	an	DET
ejpam-4168	617	8	α	α	NOUN
ejpam-4168	617	9	-	-	ADJ
ejpam-4168	617	10	partial	partial	ADJ
ejpam-4168	617	11	dominating	dominating	NOUN
ejpam-4168	617	12	set	set	VERB
ejpam-4168	617	13	in	in	ADP
ejpam-4168	617	14	g	g	PROPN
ejpam-4168	617	15	and	and	CCONJ
ejpam-4168	617	16	tx	tx	PROPN
ejpam-4168	617	17	is	be	AUX
ejpam-4168	617	18	a	a	DET
ejpam-4168	617	19	connected	connected	ADJ
ejpam-4168	617	20	dominating	dominating	NOUN
ejpam-4168	617	21	set	set	VERB
ejpam-4168	617	22	in	in	ADP
ejpam-4168	617	23	h.	h.	PROPN
ejpam-4168	617	24	then	then	ADV
ejpam-4168	617	25	,	,	PUNCT
ejpam-4168	617	26	|ng[h][c]|	|ng[h][c]|	NOUN
ejpam-4168	617	27	=	=	SYM
ejpam-4168	617	28	|ng(x)|n+	|ng(x)|n+	NOUN
ejpam-4168	617	29	|nh	|nh	X
ejpam-4168	618	1	[	[	X
ejpam-4168	618	2	tx]|	tx]|	ADP
ejpam-4168	618	3	=	=	SYM
ejpam-4168	618	4	(	(	PUNCT
ejpam-4168	618	5	|ng[x]|	|ng[x]|	PROPN
ejpam-4168	618	6	−	−	PROPN
ejpam-4168	618	7	1)n+	1)n+	NUM
ejpam-4168	618	8	|nh	|nh	NUM
ejpam-4168	618	9	[	[	X
ejpam-4168	618	10	tx]|	tx]|	ADP
ejpam-4168	618	11	=	=	SYM
ejpam-4168	618	12	|ng[s]|n−	|ng[s]|n−	X
ejpam-4168	618	13	n+	n+	X
ejpam-4168	618	14	n	n	INTJ
ejpam-4168	618	15	(	(	PUNCT
ejpam-4168	618	16	since	since	SCONJ
ejpam-4168	618	17	tx	tx	PROPN
ejpam-4168	618	18	is	be	AUX
ejpam-4168	618	19	a	a	DET
ejpam-4168	618	20	dominating	dominating	NOUN
ejpam-4168	618	21	set	set	NOUN
ejpam-4168	618	22	)	)	PUNCT
ejpam-4168	618	23	≥	≥	NOUN
ejpam-4168	618	24	αmn	αmn	NOUN
ejpam-4168	618	25	(	(	PUNCT
ejpam-4168	618	26	since	since	SCONJ
ejpam-4168	618	27	s	s	PROPN
ejpam-4168	618	28	is	be	AUX
ejpam-4168	618	29	an	an	DET
ejpam-4168	618	30	α	α	NOUN
ejpam-4168	618	31	-partial	-partial	ADJ
ejpam-4168	618	32	dominating	dominating	NOUN
ejpam-4168	618	33	set	set	VERB
ejpam-4168	618	34	in	in	ADP
ejpam-4168	618	35	g	g	NOUN
ejpam-4168	618	36	)	)	PUNCT
ejpam-4168	618	37	.	.	PUNCT
ejpam-4168	619	1	hence	hence	ADV
ejpam-4168	619	2	,	,	PUNCT
ejpam-4168	619	3	c	c	PROPN
ejpam-4168	619	4	is	be	AUX
ejpam-4168	619	5	an	an	DET
ejpam-4168	619	6	α	α	NOUN
ejpam-4168	619	7	-	-	ADJ
ejpam-4168	619	8	partial	partial	ADJ
ejpam-4168	619	9	dominating	dominating	NOUN
ejpam-4168	619	10	set	set	VERB
ejpam-4168	619	11	in	in	ADP
ejpam-4168	619	12	g[h	g[h	PROPN
ejpam-4168	619	13	]	]	PUNCT
ejpam-4168	619	14	.	.	PUNCT
ejpam-4168	620	1	furthermore	furthermore	ADV
ejpam-4168	620	2	,	,	PUNCT
ejpam-4168	620	3	c	c	PROPN
ejpam-4168	620	4	is	be	AUX
ejpam-4168	620	5	connected	connect	VERB
ejpam-4168	620	6	by	by	ADP
ejpam-4168	620	7	lemma	lemma	PROPN
ejpam-4168	620	8	1	1	NUM
ejpam-4168	620	9	.	.	PUNCT
ejpam-4168	621	1	(	(	PUNCT
ejpam-4168	621	2	ii	ii	NOUN
ejpam-4168	621	3	)	)	PUNCT
ejpam-4168	621	4	suppose	suppose	VERB
ejpam-4168	621	5	that	that	SCONJ
ejpam-4168	621	6	c	c	PROPN
ejpam-4168	621	7	is	be	AUX
ejpam-4168	621	8	a	a	DET
ejpam-4168	621	9	connected	connected	ADJ
ejpam-4168	621	10	α	α	NOUN
ejpam-4168	621	11	-	-	ADJ
ejpam-4168	621	12	partial	partial	ADJ
ejpam-4168	621	13	dominating	dominating	NOUN
ejpam-4168	621	14	set	set	VERB
ejpam-4168	621	15	in	in	ADP
ejpam-4168	621	16	g[h	g[h	PROPN
ejpam-4168	621	17	]	]	PUNCT
ejpam-4168	621	18	.	.	PUNCT
ejpam-4168	622	1	we	we	PRON
ejpam-4168	622	2	claim	claim	VERB
ejpam-4168	622	3	that	that	SCONJ
ejpam-4168	622	4	ng[h][c	ng[h][c	NOUN
ejpam-4168	622	5	]	]	X
ejpam-4168	622	6	=	=	SYM
ejpam-4168	622	7	ng[s	ng[s	PROPN
ejpam-4168	622	8	]	]	PUNCT
ejpam-4168	622	9	×	×	NOUN
ejpam-4168	622	10	v	v	NOUN
ejpam-4168	622	11	(	(	PUNCT
ejpam-4168	622	12	h	h	NOUN
ejpam-4168	622	13	)	)	PUNCT
ejpam-4168	622	14	.	.	PUNCT
ejpam-4168	623	1	let	let	VERB
ejpam-4168	623	2	(	(	PUNCT
ejpam-4168	623	3	x	x	NOUN
ejpam-4168	623	4	,	,	PUNCT
ejpam-4168	623	5	y	y	NOUN
ejpam-4168	623	6	)	)	PUNCT
ejpam-4168	623	7	∈	∈	PROPN
ejpam-4168	623	8	ng[h](c	ng[h](c	PROPN
ejpam-4168	623	9	)	)	PUNCT
ejpam-4168	623	10	.	.	PUNCT
ejpam-4168	624	1	then	then	ADV
ejpam-4168	624	2	either	either	CCONJ
ejpam-4168	624	3	(	(	PUNCT
ejpam-4168	624	4	x	x	X
ejpam-4168	624	5	,	,	PUNCT
ejpam-4168	624	6	y	y	NOUN
ejpam-4168	624	7	)	)	PUNCT
ejpam-4168	624	8	∈	∈	PROPN
ejpam-4168	624	9	ng[h](c	ng[h](c	PROPN
ejpam-4168	624	10	)	)	PUNCT
ejpam-4168	624	11	or	or	CCONJ
ejpam-4168	624	12	(	(	PUNCT
ejpam-4168	624	13	x	x	NOUN
ejpam-4168	624	14	,	,	PUNCT
ejpam-4168	624	15	y	y	NOUN
ejpam-4168	624	16	)	)	PUNCT
ejpam-4168	624	17	∈	∈	PROPN
ejpam-4168	624	18	c.	c.	NOUN
ejpam-4168	624	19	now	now	ADV
ejpam-4168	624	20	,	,	PUNCT
ejpam-4168	624	21	(	(	PUNCT
ejpam-4168	624	22	x	x	X
ejpam-4168	624	23	,	,	PUNCT
ejpam-4168	624	24	y	y	NOUN
ejpam-4168	624	25	)	)	PUNCT
ejpam-4168	624	26	∈	∈	PROPN
ejpam-4168	624	27	ng[h](c	ng[h](c	PROPN
ejpam-4168	624	28	)	)	PUNCT
ejpam-4168	625	1	=	=	NOUN
ejpam-4168	625	2	⇒	⇒	NOUN
ejpam-4168	625	3	∃(u	∃(u	PROPN
ejpam-4168	625	4	,	,	PUNCT
ejpam-4168	625	5	v	v	NOUN
ejpam-4168	625	6	)	)	PUNCT
ejpam-4168	625	7	∈	∈	PROPN
ejpam-4168	625	8	c	c	NOUN
ejpam-4168	625	9	for	for	ADP
ejpam-4168	625	10	which	which	PRON
ejpam-4168	625	11	(	(	PUNCT
ejpam-4168	625	12	u	u	NOUN
ejpam-4168	625	13	,	,	PUNCT
ejpam-4168	625	14	v)(x	v)(x	NOUN
ejpam-4168	625	15	,	,	PUNCT
ejpam-4168	625	16	y	y	NOUN
ejpam-4168	625	17	)	)	PUNCT
ejpam-4168	625	18	∈	∈	NOUN
ejpam-4168	625	19	e(g[h	e(g[h	NOUN
ejpam-4168	625	20	]	]	PUNCT
ejpam-4168	625	21	)	)	PUNCT
ejpam-4168	626	1	=	=	VERB
ejpam-4168	626	2	⇒	⇒	VERB
ejpam-4168	626	3	u	u	NOUN
ejpam-4168	626	4	∈	∈	PROPN
ejpam-4168	626	5	s	s	PART
ejpam-4168	626	6	and	and	CCONJ
ejpam-4168	626	7	x	x	PUNCT
ejpam-4168	626	8	∈	∈	PROPN
ejpam-4168	626	9	ng[s	ng[s	PROPN
ejpam-4168	626	10	]	]	X
ejpam-4168	626	11	j.m	j.m	PROPN
ejpam-4168	626	12	.	.	PROPN
ejpam-4168	626	13	cabulao	cabulao	PROPN
ejpam-4168	626	14	,	,	PUNCT
ejpam-4168	626	15	r.	r.	PROPN
ejpam-4168	626	16	isla	isla	PROPN
ejpam-4168	626	17	/	/	SYM
ejpam-4168	626	18	eur	eur	PROPN
ejpam-4168	626	19	.	.	PUNCT
ejpam-4168	627	1	j.	j.	PROPN
ejpam-4168	627	2	pure	pure	PROPN
ejpam-4168	627	3	appl	appl	PROPN
ejpam-4168	627	4	.	.	PROPN
ejpam-4168	627	5	math	math	PROPN
ejpam-4168	627	6	,	,	PUNCT
ejpam-4168	627	7	14	14	NUM
ejpam-4168	627	8	(	(	PUNCT
ejpam-4168	627	9	4	4	NUM
ejpam-4168	627	10	)	)	PUNCT
ejpam-4168	627	11	(	(	PUNCT
ejpam-4168	627	12	2021	2021	NUM
ejpam-4168	627	13	)	)	PUNCT
ejpam-4168	627	14	,	,	PUNCT
ejpam-4168	627	15	1490	1490	NUM
ejpam-4168	627	16	-	-	SYM
ejpam-4168	627	17	1506	1506	NUM
ejpam-4168	627	18	1502	1502	NUM
ejpam-4168	628	1	=	=	NOUN
ejpam-4168	628	2	⇒	⇒	NOUN
ejpam-4168	628	3	(	(	PUNCT
ejpam-4168	628	4	x	x	X
ejpam-4168	628	5	,	,	PUNCT
ejpam-4168	628	6	y	y	NOUN
ejpam-4168	628	7	)	)	PUNCT
ejpam-4168	628	8	∈	∈	PROPN
ejpam-4168	628	9	ng[s]×	ng[s]×	NUM
ejpam-4168	628	10	v	v	INTJ
ejpam-4168	628	11	(	(	PUNCT
ejpam-4168	628	12	h	h	NOUN
ejpam-4168	628	13	)	)	PUNCT
ejpam-4168	628	14	and	and	CCONJ
ejpam-4168	628	15	(	(	PUNCT
ejpam-4168	628	16	x	x	NOUN
ejpam-4168	628	17	,	,	PUNCT
ejpam-4168	628	18	y	y	NOUN
ejpam-4168	628	19	)	)	PUNCT
ejpam-4168	628	20	∈	∈	PROPN
ejpam-4168	628	21	c	c	NOUN
ejpam-4168	628	22	=	=	NOUN
ejpam-4168	628	23	⇒	⇒	NOUN
ejpam-4168	628	24	x	x	PUNCT
ejpam-4168	628	25	∈	∈	NOUN
ejpam-4168	628	26	s	s	VERB
ejpam-4168	628	27	⊆	⊆	NUM
ejpam-4168	628	28	ng[s	ng[	NOUN
ejpam-4168	628	29	]	]	PUNCT
ejpam-4168	628	30	=	=	NOUN
ejpam-4168	628	31	⇒	⇒	NOUN
ejpam-4168	628	32	(	(	PUNCT
ejpam-4168	628	33	x	x	X
ejpam-4168	628	34	,	,	PUNCT
ejpam-4168	628	35	y	y	NOUN
ejpam-4168	628	36	)	)	PUNCT
ejpam-4168	628	37	∈	∈	PROPN
ejpam-4168	628	38	ng[s]×	ng[s]×	NUM
ejpam-4168	628	39	v	v	INTJ
ejpam-4168	628	40	(	(	PUNCT
ejpam-4168	628	41	h	h	NOUN
ejpam-4168	628	42	)	)	PUNCT
ejpam-4168	628	43	.	.	PUNCT
ejpam-4168	629	1	conversely	conversely	ADV
ejpam-4168	629	2	,	,	PUNCT
ejpam-4168	629	3	let	let	VERB
ejpam-4168	629	4	x	x	X
ejpam-4168	629	5	∈	∈	NOUN
ejpam-4168	629	6	ng[s	ng[s	PROPN
ejpam-4168	629	7	]	]	PUNCT
ejpam-4168	629	8	and	and	CCONJ
ejpam-4168	629	9	y	y	PROPN
ejpam-4168	629	10	∈	∈	PROPN
ejpam-4168	629	11	v	v	ADP
ejpam-4168	629	12	(	(	PUNCT
ejpam-4168	629	13	h	h	NOUN
ejpam-4168	629	14	)	)	PUNCT
ejpam-4168	629	15	.	.	PUNCT
ejpam-4168	630	1	since	since	SCONJ
ejpam-4168	630	2	|s|	|s|	NOUN
ejpam-4168	630	3	≥	≥	PROPN
ejpam-4168	630	4	2	2	NUM
ejpam-4168	630	5	and	and	CCONJ
ejpam-4168	630	6	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	630	7	is	be	AUX
ejpam-4168	630	8	connected	connect	VERB
ejpam-4168	630	9	by	by	ADP
ejpam-4168	630	10	lemma	lemma	PROPN
ejpam-4168	630	11	1	1	NUM
ejpam-4168	630	12	,	,	PUNCT
ejpam-4168	630	13	there	there	PRON
ejpam-4168	630	14	exists	exist	VERB
ejpam-4168	630	15	u	u	PROPN
ejpam-4168	630	16	∈	∈	PROPN
ejpam-4168	630	17	s	s	X
ejpam-4168	630	18	for	for	ADP
ejpam-4168	630	19	which	which	PRON
ejpam-4168	630	20	ux	ux	PROPN
ejpam-4168	630	21	∈	∈	PROPN
ejpam-4168	630	22	e(g	e(g	PROPN
ejpam-4168	630	23	)	)	PUNCT
ejpam-4168	630	24	.	.	PUNCT
ejpam-4168	631	1	pick	pick	VERB
ejpam-4168	631	2	v	v	ADP
ejpam-4168	631	3	∈	∈	PROPN
ejpam-4168	631	4	tu	tu	PROPN
ejpam-4168	631	5	.	.	PUNCT
ejpam-4168	632	1	then	then	ADV
ejpam-4168	632	2	(	(	PUNCT
ejpam-4168	632	3	u	u	NOUN
ejpam-4168	632	4	,	,	PUNCT
ejpam-4168	632	5	v	v	NOUN
ejpam-4168	632	6	)	)	PUNCT
ejpam-4168	632	7	∈	∈	PROPN
ejpam-4168	632	8	c	c	NOUN
ejpam-4168	632	9	and	and	CCONJ
ejpam-4168	632	10	(	(	PUNCT
ejpam-4168	632	11	x	x	NOUN
ejpam-4168	632	12	,	,	PUNCT
ejpam-4168	632	13	y	y	NOUN
ejpam-4168	632	14	)	)	PUNCT
ejpam-4168	632	15	∈	∈	PROPN
ejpam-4168	633	1	ng[h][(u	ng[h][(u	PROPN
ejpam-4168	633	2	,	,	PUNCT
ejpam-4168	633	3	v	v	NOUN
ejpam-4168	633	4	)	)	PUNCT
ejpam-4168	633	5	]	]	PUNCT
ejpam-4168	633	6	⊆	⊆	NUM
ejpam-4168	633	7	ng[h][c	ng[h][c	NOUN
ejpam-4168	633	8	]	]	PUNCT
ejpam-4168	633	9	.	.	PUNCT
ejpam-4168	634	1	thus	thus	ADV
ejpam-4168	634	2	,	,	PUNCT
ejpam-4168	634	3	ng[s]×	ng[s]×	INTJ
ejpam-4168	634	4	v	v	X
ejpam-4168	634	5	(	(	PUNCT
ejpam-4168	634	6	h	h	NOUN
ejpam-4168	634	7	)	)	PUNCT
ejpam-4168	634	8	⊆	⊆	NUM
ejpam-4168	634	9	ng[h][c	ng[h][c	NOUN
ejpam-4168	634	10	]	]	PUNCT
ejpam-4168	634	11	.	.	PUNCT
ejpam-4168	635	1	hence	hence	ADV
ejpam-4168	635	2	,	,	PUNCT
ejpam-4168	635	3	ng[h][c	ng[h][c	PROPN
ejpam-4168	635	4	]	]	X
ejpam-4168	635	5	=	=	SYM
ejpam-4168	635	6	ng[s]×	ng[s]×	INTJ
ejpam-4168	635	7	v	v	INTJ
ejpam-4168	635	8	(	(	PUNCT
ejpam-4168	635	9	h	h	NOUN
ejpam-4168	635	10	)	)	PUNCT
ejpam-4168	635	11	.	.	PUNCT
ejpam-4168	636	1	then	then	ADV
ejpam-4168	636	2	,	,	PUNCT
ejpam-4168	636	3	|ng[h][c]|	|ng[h][c]|	NOUN
ejpam-4168	636	4	=	=	SYM
ejpam-4168	636	5	|ng[s]|n	|ng[s]|n	NOUN
ejpam-4168	636	6	≥	≥	NOUN
ejpam-4168	636	7	αmn	αmn	NOUN
ejpam-4168	636	8	,	,	PUNCT
ejpam-4168	636	9	so	so	ADV
ejpam-4168	636	10	|ng[s]|	|ng[s]|	PROPN
ejpam-4168	636	11	≥	≥	PRON
ejpam-4168	636	12	αm	αm	NOUN
ejpam-4168	636	13	.	.	PUNCT
ejpam-4168	637	1	hence	hence	ADV
ejpam-4168	637	2	,	,	PUNCT
ejpam-4168	637	3	s	s	VERB
ejpam-4168	637	4	is	be	AUX
ejpam-4168	637	5	an	an	DET
ejpam-4168	637	6	α	α	NOUN
ejpam-4168	637	7	-	-	ADJ
ejpam-4168	637	8	partial	partial	ADJ
ejpam-4168	637	9	dominating	dominating	NOUN
ejpam-4168	637	10	set	set	VERB
ejpam-4168	637	11	in	in	ADP
ejpam-4168	637	12	g	g	PROPN
ejpam-4168	637	13	and	and	CCONJ
ejpam-4168	637	14	⟨s⟩	⟨s⟩	PROPN
ejpam-4168	637	15	is	be	AUX
ejpam-4168	637	16	connected	connect	VERB
ejpam-4168	637	17	by	by	ADP
ejpam-4168	637	18	lemma	lemma	PROPN
ejpam-4168	637	19	1	1	NUM
ejpam-4168	637	20	.	.	PUNCT
ejpam-4168	638	1	for	for	ADP
ejpam-4168	638	2	the	the	DET
ejpam-4168	638	3	converse	converse	NOUN
ejpam-4168	638	4	,	,	PUNCT
ejpam-4168	638	5	suppose	suppose	VERB
ejpam-4168	638	6	that	that	SCONJ
ejpam-4168	638	7	s	s	VERB
ejpam-4168	638	8	is	be	AUX
ejpam-4168	638	9	a	a	DET
ejpam-4168	638	10	connected	connected	ADJ
ejpam-4168	638	11	α	α	NOUN
ejpam-4168	638	12	-	-	ADJ
ejpam-4168	638	13	partial	partial	ADJ
ejpam-4168	638	14	dominating	dominating	NOUN
ejpam-4168	638	15	set	set	VERB
ejpam-4168	638	16	in	in	ADP
ejpam-4168	638	17	g.	g.	PROPN
ejpam-4168	638	18	then	then	ADV
ejpam-4168	638	19	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	638	20	is	be	AUX
ejpam-4168	638	21	connected	connect	VERB
ejpam-4168	638	22	by	by	ADP
ejpam-4168	638	23	lemma	lemma	PROPN
ejpam-4168	638	24	1	1	NUM
ejpam-4168	638	25	.	.	PUNCT
ejpam-4168	639	1	moreover	moreover	ADV
ejpam-4168	639	2	,	,	PUNCT
ejpam-4168	639	3	|ng[h][c]|	|ng[h][c]|	NOUN
ejpam-4168	639	4	=	=	SYM
ejpam-4168	639	5	|ng[s]|n	|ng[s]|n	NOUN
ejpam-4168	639	6	≥	≥	NOUN
ejpam-4168	639	7	αmn	αmn	NOUN
ejpam-4168	639	8	,	,	PUNCT
ejpam-4168	639	9	thus	thus	ADV
ejpam-4168	639	10	c	c	PROPN
ejpam-4168	639	11	is	be	AUX
ejpam-4168	639	12	an	an	DET
ejpam-4168	639	13	α	α	NOUN
ejpam-4168	639	14	-	-	ADJ
ejpam-4168	639	15	partial	partial	ADJ
ejpam-4168	639	16	dominating	dominating	NOUN
ejpam-4168	639	17	set	set	VERB
ejpam-4168	639	18	in	in	ADP
ejpam-4168	639	19	g[h	g[h	PROPN
ejpam-4168	639	20	]	]	PUNCT
ejpam-4168	639	21	.	.	PUNCT
ejpam-4168	640	1	remark	remark	PROPN
ejpam-4168	640	2	10	10	NUM
ejpam-4168	640	3	.	.	PUNCT
ejpam-4168	641	1	the	the	DET
ejpam-4168	641	2	converse	converse	NOUN
ejpam-4168	641	3	of	of	ADP
ejpam-4168	641	4	each	each	PRON
ejpam-4168	641	5	of	of	ADP
ejpam-4168	641	6	the	the	DET
ejpam-4168	641	7	two	two	NUM
ejpam-4168	641	8	statements	statement	NOUN
ejpam-4168	641	9	in	in	ADP
ejpam-4168	641	10	theorem	theorem	NOUN
ejpam-4168	641	11	6(i	6(i	NUM
ejpam-4168	641	12	)	)	PUNCT
ejpam-4168	641	13	is	be	AUX
ejpam-4168	641	14	not	not	PART
ejpam-4168	641	15	true	true	ADJ
ejpam-4168	641	16	.	.	PUNCT
ejpam-4168	642	1	to	to	PART
ejpam-4168	642	2	see	see	VERB
ejpam-4168	642	3	this	this	PRON
ejpam-4168	642	4	,	,	PUNCT
ejpam-4168	642	5	consider	consider	VERB
ejpam-4168	642	6	the	the	DET
ejpam-4168	642	7	graphs	graph	NOUN
ejpam-4168	642	8	p6[p7	p6[p7	X
ejpam-4168	642	9	]	]	PUNCT
ejpam-4168	642	10	and	and	CCONJ
ejpam-4168	642	11	p5[p4	p5[p4	NOUN
ejpam-4168	642	12	]	]	PUNCT
ejpam-4168	642	13	in	in	ADP
ejpam-4168	642	14	figure	figure	NOUN
ejpam-4168	642	15	11	11	NUM
ejpam-4168	642	16	and	and	CCONJ
ejpam-4168	642	17	figure	figure	NOUN
ejpam-4168	642	18	12	12	NUM
ejpam-4168	642	19	,	,	PUNCT
ejpam-4168	642	20	respectively	respectively	ADV
ejpam-4168	642	21	.	.	PUNCT
ejpam-4168	643	1	let	let	VERB
ejpam-4168	643	2	α	α	NOUN
ejpam-4168	643	3	=	=	SYM
ejpam-4168	643	4	1	1	NUM
ejpam-4168	643	5	2	2	NUM
ejpam-4168	643	6	.	.	PUNCT
ejpam-4168	644	1	s	s	PART
ejpam-4168	644	2	=	=	PRON
ejpam-4168	644	3	{	{	PUNCT
ejpam-4168	644	4	x	x	NOUN
ejpam-4168	644	5	}	}	PUNCT
ejpam-4168	644	6	is	be	AUX
ejpam-4168	644	7	an	an	DET
ejpam-4168	644	8	α	α	NOUN
ejpam-4168	644	9	-	-	ADJ
ejpam-4168	644	10	partial	partial	ADJ
ejpam-4168	644	11	dominating	dominating	NOUN
ejpam-4168	644	12	set	set	VERB
ejpam-4168	644	13	in	in	ADP
ejpam-4168	644	14	p6	p6	PROPN
ejpam-4168	644	15	and	and	CCONJ
ejpam-4168	644	16	⟨tx⟩	⟨tx⟩	NOUN
ejpam-4168	644	17	is	be	AUX
ejpam-4168	644	18	connected	connect	VERB
ejpam-4168	644	19	,	,	PUNCT
ejpam-4168	644	20	but	but	CCONJ
ejpam-4168	644	21	c	c	X
ejpam-4168	644	22	=	=	PRON
ejpam-4168	644	23	{	{	PUNCT
ejpam-4168	644	24	(	(	PUNCT
ejpam-4168	644	25	x	x	NOUN
ejpam-4168	644	26	,	,	PUNCT
ejpam-4168	644	27	a	a	PRON
ejpam-4168	644	28	)	)	PUNCT
ejpam-4168	644	29	,	,	PUNCT
ejpam-4168	644	30	(	(	PUNCT
ejpam-4168	644	31	x	x	X
ejpam-4168	644	32	,	,	PUNCT
ejpam-4168	644	33	b	b	NOUN
ejpam-4168	644	34	)	)	PUNCT
ejpam-4168	644	35	,	,	PUNCT
ejpam-4168	644	36	(	(	PUNCT
ejpam-4168	644	37	x	x	NOUN
ejpam-4168	644	38	,	,	PUNCT
ejpam-4168	644	39	c	c	NOUN
ejpam-4168	644	40	)	)	PUNCT
ejpam-4168	644	41	,	,	PUNCT
ejpam-4168	644	42	(	(	PUNCT
ejpam-4168	644	43	x	x	X
ejpam-4168	644	44	,	,	PUNCT
ejpam-4168	644	45	d	d	NOUN
ejpam-4168	644	46	)	)	PUNCT
ejpam-4168	644	47	}	}	PUNCT
ejpam-4168	644	48	does	do	AUX
ejpam-4168	644	49	not	not	PART
ejpam-4168	644	50	form	form	VERB
ejpam-4168	644	51	an	an	DET
ejpam-4168	644	52	α	α	NUM
ejpam-4168	644	53	-	-	ADJ
ejpam-4168	644	54	partial	partial	ADJ
ejpam-4168	644	55	dominating	dominating	NOUN
ejpam-4168	644	56	set	set	VERB
ejpam-4168	644	57	in	in	ADP
ejpam-4168	644	58	p6[p7	p6[p7	PROPN
ejpam-4168	644	59	]	]	PUNCT
ejpam-4168	644	60	since	since	SCONJ
ejpam-4168	644	61	|np6[p7][c]|	|np6[p7][c]|	NOUN
ejpam-4168	644	62	=	=	SYM
ejpam-4168	644	63	20	20	NUM
ejpam-4168	644	64	<	<	SYM
ejpam-4168	644	65	21	21	NUM
ejpam-4168	644	66	=	=	SYM
ejpam-4168	644	67	α|v	α|v	X
ejpam-4168	644	68	(	(	PUNCT
ejpam-4168	644	69	p6)|	p6)|	X
ejpam-4168	644	70	·	·	PUNCT
ejpam-4168	644	71	|v	|v	PROPN
ejpam-4168	644	72	(	(	PUNCT
ejpam-4168	644	73	p7)|	p7)|	NOUN
ejpam-4168	644	74	.	.	PUNCT
ejpam-4168	645	1	moreover	moreover	ADV
ejpam-4168	645	2	,	,	PUNCT
ejpam-4168	645	3	the	the	DET
ejpam-4168	645	4	set	set	NOUN
ejpam-4168	645	5	c	c	NOUN
ejpam-4168	645	6	′	′	NUM
ejpam-4168	645	7	=	=	SYM
ejpam-4168	645	8	{	{	PUNCT
ejpam-4168	645	9	(	(	PUNCT
ejpam-4168	645	10	x	x	NOUN
ejpam-4168	645	11	,	,	PUNCT
ejpam-4168	645	12	u	u	NOUN
ejpam-4168	645	13	)	)	PUNCT
ejpam-4168	645	14	}	}	PUNCT
ejpam-4168	645	15	forms	form	VERB
ejpam-4168	645	16	a	a	DET
ejpam-4168	645	17	connected	connected	ADJ
ejpam-4168	645	18	α	α	NOUN
ejpam-4168	645	19	-	-	ADJ
ejpam-4168	645	20	partial	partial	ADJ
ejpam-4168	645	21	dominating	dominating	NOUN
ejpam-4168	645	22	set	set	VERB
ejpam-4168	645	23	in	in	ADP
ejpam-4168	645	24	p5[p4	p5[p4	NOUN
ejpam-4168	645	25	]	]	PUNCT
ejpam-4168	645	26	since	since	SCONJ
ejpam-4168	645	27	|np5[p4][c	|np5[p4][c	PROPN
ejpam-4168	645	28	′]|	′]|	VERB
ejpam-4168	645	29	=	=	NOUN
ejpam-4168	645	30	11	11	NUM
ejpam-4168	645	31	>	>	SYM
ejpam-4168	645	32	10	10	NUM
ejpam-4168	645	33	=	=	X
ejpam-4168	645	34	α|v	α|v	PROPN
ejpam-4168	645	35	(	(	PUNCT
ejpam-4168	645	36	p5)|·|v	p5)|·|v	NOUN
ejpam-4168	645	37	(	(	PUNCT
ejpam-4168	645	38	p4)|	p4)|	NOUN
ejpam-4168	645	39	.	.	PUNCT
ejpam-4168	646	1	however	however	ADV
ejpam-4168	646	2	,	,	PUNCT
ejpam-4168	646	3	tx	tx	PROPN
ejpam-4168	646	4	is	be	AUX
ejpam-4168	646	5	not	not	PART
ejpam-4168	646	6	a	a	DET
ejpam-4168	646	7	dominating	dominating	NOUN
ejpam-4168	646	8	set	set	VERB
ejpam-4168	646	9	in	in	ADP
ejpam-4168	646	10	h.	h.	PROPN
ejpam-4168	646	11	................................................................................................................	................................................................................................................	PROPN
ejpam-4168	647	1	................................................................................................................	................................................................................................................	PROPN
ejpam-4168	647	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	648	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	648	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	649	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	649	2	....................................	....................................	PUNCT
ejpam-4168	650	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	650	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	651	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	651	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	652	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	652	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	653	1	....................................	....................................	PUNCT
ejpam-4168	653	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	654	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	654	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	655	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	655	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	656	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	656	2	....................................	....................................	PUNCT
ejpam-4168	657	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	657	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	658	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	658	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	659	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	659	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	660	1	....................................	....................................	PUNCT
ejpam-4168	660	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	661	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	661	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	662	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	662	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	663	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	663	2	....................................	....................................	PUNCT
ejpam-4168	664	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	664	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	665	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	665	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	666	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	666	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	667	1	....................................	....................................	PUNCT
ejpam-4168	667	2	.........	.........	PUNCT
ejpam-4168	667	3	........	........	PUNCT
ejpam-4168	667	4	........	........	PUNCT
ejpam-4168	667	5	........	........	PUNCT
ejpam-4168	667	6	........	........	PUNCT
ejpam-4168	667	7	........	........	PUNCT
ejpam-4168	667	8	........	........	PUNCT
ejpam-4168	667	9	........	........	PUNCT
ejpam-4168	667	10	........	........	PUNCT
ejpam-4168	667	11	...	...	PUNCT
ejpam-4168	668	1	....................................	....................................	PUNCT
ejpam-4168	668	2	.........	.........	PUNCT
ejpam-4168	668	3	........	........	PUNCT
ejpam-4168	668	4	........	........	PUNCT
ejpam-4168	668	5	........	........	PUNCT
ejpam-4168	668	6	........	........	PUNCT
ejpam-4168	668	7	........	........	PUNCT
ejpam-4168	668	8	........	........	PUNCT
ejpam-4168	668	9	........	........	PUNCT
ejpam-4168	668	10	........	........	PUNCT
ejpam-4168	668	11	...	...	PUNCT
ejpam-4168	669	1	....................................	....................................	PUNCT
ejpam-4168	669	2	.........	.........	PUNCT
ejpam-4168	669	3	........	........	PUNCT
ejpam-4168	669	4	........	........	PUNCT
ejpam-4168	669	5	........	........	PUNCT
ejpam-4168	669	6	........	........	PUNCT
ejpam-4168	669	7	........	........	PUNCT
ejpam-4168	669	8	........	........	PUNCT
ejpam-4168	669	9	........	........	PUNCT
ejpam-4168	669	10	........	........	PUNCT
ejpam-4168	669	11	...	...	PUNCT
ejpam-4168	670	1	....................................	....................................	PUNCT
ejpam-4168	670	2	.........	.........	PUNCT
ejpam-4168	670	3	........	........	PUNCT
ejpam-4168	670	4	........	........	PUNCT
ejpam-4168	670	5	........	........	PUNCT
ejpam-4168	670	6	........	........	PUNCT
ejpam-4168	670	7	........	........	PUNCT
ejpam-4168	670	8	........	........	PUNCT
ejpam-4168	670	9	........	........	PUNCT
ejpam-4168	670	10	........	........	PUNCT
ejpam-4168	670	11	...	...	PUNCT
ejpam-4168	671	1	....................................	....................................	PUNCT
ejpam-4168	671	2	.........	.........	PUNCT
ejpam-4168	671	3	........	........	PUNCT
ejpam-4168	671	4	........	........	PUNCT
ejpam-4168	671	5	........	........	PUNCT
ejpam-4168	671	6	........	........	PUNCT
ejpam-4168	671	7	........	........	PUNCT
ejpam-4168	671	8	........	........	PUNCT
ejpam-4168	671	9	........	........	PUNCT
ejpam-4168	671	10	........	........	PUNCT
ejpam-4168	671	11	...	...	PUNCT
ejpam-4168	672	1	....................................	....................................	PUNCT
ejpam-4168	672	2	....................................	....................................	PUNCT
ejpam-4168	672	3	.........	.........	PUNCT
ejpam-4168	672	4	........	........	PUNCT
ejpam-4168	672	5	........	........	PUNCT
ejpam-4168	672	6	........	........	PUNCT
ejpam-4168	672	7	........	........	PUNCT
ejpam-4168	672	8	........	........	PUNCT
ejpam-4168	672	9	........	........	PUNCT
ejpam-4168	672	10	........	........	PUNCT
ejpam-4168	672	11	........	........	PUNCT
ejpam-4168	672	12	...	...	PUNCT
ejpam-4168	673	1	....................................	....................................	PUNCT
ejpam-4168	673	2	.........	.........	PUNCT
ejpam-4168	673	3	........	........	PUNCT
ejpam-4168	673	4	........	........	PUNCT
ejpam-4168	673	5	........	........	PUNCT
ejpam-4168	673	6	........	........	PUNCT
ejpam-4168	673	7	........	........	PUNCT
ejpam-4168	673	8	........	........	PUNCT
ejpam-4168	673	9	........	........	PUNCT
ejpam-4168	673	10	........	........	PUNCT
ejpam-4168	673	11	...	...	PUNCT
ejpam-4168	674	1	....................................	....................................	PUNCT
ejpam-4168	674	2	.........	.........	PUNCT
ejpam-4168	674	3	........	........	PUNCT
ejpam-4168	674	4	........	........	PUNCT
ejpam-4168	674	5	........	........	PUNCT
ejpam-4168	674	6	........	........	PUNCT
ejpam-4168	674	7	........	........	PUNCT
ejpam-4168	674	8	........	........	PUNCT
ejpam-4168	674	9	........	........	PUNCT
ejpam-4168	674	10	........	........	PUNCT
ejpam-4168	674	11	...	...	PUNCT
ejpam-4168	675	1	....................................	....................................	PUNCT
ejpam-4168	675	2	.........	.........	PUNCT
ejpam-4168	675	3	........	........	PUNCT
ejpam-4168	675	4	........	........	PUNCT
ejpam-4168	675	5	........	........	PUNCT
ejpam-4168	675	6	........	........	PUNCT
ejpam-4168	675	7	........	........	PUNCT
ejpam-4168	675	8	........	........	PUNCT
ejpam-4168	675	9	........	........	PUNCT
ejpam-4168	675	10	........	........	PUNCT
ejpam-4168	675	11	...	...	PUNCT
ejpam-4168	676	1	....................................	....................................	PUNCT
ejpam-4168	676	2	.........	.........	PUNCT
ejpam-4168	676	3	........	........	PUNCT
ejpam-4168	676	4	........	........	PUNCT
ejpam-4168	676	5	........	........	PUNCT
ejpam-4168	676	6	........	........	PUNCT
ejpam-4168	676	7	........	........	PUNCT
ejpam-4168	676	8	........	........	PUNCT
ejpam-4168	676	9	........	........	PUNCT
ejpam-4168	676	10	........	........	PUNCT
ejpam-4168	676	11	...	...	PUNCT
ejpam-4168	677	1	....................................	....................................	PUNCT
ejpam-4168	677	2	....................................	....................................	PUNCT
ejpam-4168	677	3	.........	.........	PUNCT
ejpam-4168	677	4	........	........	PUNCT
ejpam-4168	677	5	........	........	PUNCT
ejpam-4168	677	6	........	........	PUNCT
ejpam-4168	677	7	........	........	PUNCT
ejpam-4168	677	8	........	........	PUNCT
ejpam-4168	677	9	........	........	PUNCT
ejpam-4168	677	10	........	........	PUNCT
ejpam-4168	677	11	........	........	PUNCT
ejpam-4168	677	12	...	...	PUNCT
ejpam-4168	678	1	....................................	....................................	PUNCT
ejpam-4168	678	2	.........	.........	PUNCT
ejpam-4168	678	3	........	........	PUNCT
ejpam-4168	678	4	........	........	PUNCT
ejpam-4168	678	5	........	........	PUNCT
ejpam-4168	678	6	........	........	PUNCT
ejpam-4168	678	7	........	........	PUNCT
ejpam-4168	678	8	........	........	PUNCT
ejpam-4168	678	9	........	........	PUNCT
ejpam-4168	678	10	........	........	PUNCT
ejpam-4168	678	11	...	...	PUNCT
ejpam-4168	679	1	....................................	....................................	PUNCT
ejpam-4168	679	2	.........	.........	PUNCT
ejpam-4168	679	3	........	........	PUNCT
ejpam-4168	679	4	........	........	PUNCT
ejpam-4168	679	5	........	........	PUNCT
ejpam-4168	679	6	........	........	PUNCT
ejpam-4168	679	7	........	........	PUNCT
ejpam-4168	679	8	........	........	PUNCT
ejpam-4168	679	9	........	........	PUNCT
ejpam-4168	679	10	........	........	PUNCT
ejpam-4168	679	11	...	...	PUNCT
ejpam-4168	680	1	....................................	....................................	PUNCT
ejpam-4168	680	2	.........	.........	PUNCT
ejpam-4168	680	3	........	........	PUNCT
ejpam-4168	680	4	........	........	PUNCT
ejpam-4168	680	5	........	........	PUNCT
ejpam-4168	680	6	........	........	PUNCT
ejpam-4168	680	7	........	........	PUNCT
ejpam-4168	680	8	........	........	PUNCT
ejpam-4168	680	9	........	........	PUNCT
ejpam-4168	680	10	........	........	PUNCT
ejpam-4168	680	11	...	...	PUNCT
ejpam-4168	681	1	....................................	....................................	PUNCT
ejpam-4168	681	2	.........	.........	PUNCT
ejpam-4168	681	3	........	........	PUNCT
ejpam-4168	681	4	........	........	PUNCT
ejpam-4168	681	5	........	........	PUNCT
ejpam-4168	681	6	........	........	PUNCT
ejpam-4168	681	7	........	........	PUNCT
ejpam-4168	681	8	........	........	PUNCT
ejpam-4168	681	9	........	........	PUNCT
ejpam-4168	681	10	........	........	PUNCT
ejpam-4168	681	11	...	...	PUNCT
ejpam-4168	682	1	....................................	....................................	PUNCT
ejpam-4168	682	2	....................................	....................................	PUNCT
ejpam-4168	682	3	.........	.........	PUNCT
ejpam-4168	682	4	........	........	PUNCT
ejpam-4168	682	5	........	........	PUNCT
ejpam-4168	682	6	........	........	PUNCT
ejpam-4168	682	7	........	........	PUNCT
ejpam-4168	682	8	........	........	PUNCT
ejpam-4168	682	9	........	........	PUNCT
ejpam-4168	682	10	........	........	PUNCT
ejpam-4168	682	11	........	........	PUNCT
ejpam-4168	682	12	...	...	PUNCT
ejpam-4168	683	1	....................................	....................................	PUNCT
ejpam-4168	683	2	.........	.........	PUNCT
ejpam-4168	683	3	........	........	PUNCT
ejpam-4168	683	4	........	........	PUNCT
ejpam-4168	683	5	........	........	PUNCT
ejpam-4168	683	6	........	........	PUNCT
ejpam-4168	683	7	........	........	PUNCT
ejpam-4168	683	8	........	........	PUNCT
ejpam-4168	683	9	........	........	PUNCT
ejpam-4168	683	10	........	........	PUNCT
ejpam-4168	683	11	...	...	PUNCT
ejpam-4168	684	1	....................................	....................................	PUNCT
ejpam-4168	684	2	.........	.........	PUNCT
ejpam-4168	684	3	........	........	PUNCT
ejpam-4168	684	4	........	........	PUNCT
ejpam-4168	684	5	........	........	PUNCT
ejpam-4168	684	6	........	........	PUNCT
ejpam-4168	684	7	........	........	PUNCT
ejpam-4168	684	8	........	........	PUNCT
ejpam-4168	684	9	........	........	PUNCT
ejpam-4168	684	10	........	........	PUNCT
ejpam-4168	684	11	...	...	PUNCT
ejpam-4168	685	1	....................................	....................................	PUNCT
ejpam-4168	685	2	.........	.........	PUNCT
ejpam-4168	685	3	........	........	PUNCT
ejpam-4168	685	4	........	........	PUNCT
ejpam-4168	685	5	........	........	PUNCT
ejpam-4168	685	6	........	........	PUNCT
ejpam-4168	685	7	........	........	PUNCT
ejpam-4168	685	8	........	........	PUNCT
ejpam-4168	685	9	........	........	PUNCT
ejpam-4168	685	10	........	........	PUNCT
ejpam-4168	685	11	...	...	PUNCT
ejpam-4168	686	1	....................................	....................................	PUNCT
ejpam-4168	686	2	.........	.........	PUNCT
ejpam-4168	686	3	........	........	PUNCT
ejpam-4168	686	4	........	........	PUNCT
ejpam-4168	686	5	........	........	PUNCT
ejpam-4168	686	6	........	........	PUNCT
ejpam-4168	686	7	........	........	PUNCT
ejpam-4168	686	8	........	........	PUNCT
ejpam-4168	686	9	........	........	PUNCT
ejpam-4168	686	10	........	........	PUNCT
ejpam-4168	686	11	...	...	PUNCT
ejpam-4168	687	1	....................................	....................................	PUNCT
ejpam-4168	687	2	....................................	....................................	PUNCT
ejpam-4168	687	3	.........	.........	PUNCT
ejpam-4168	687	4	........	........	PUNCT
ejpam-4168	687	5	........	........	PUNCT
ejpam-4168	687	6	........	........	PUNCT
ejpam-4168	687	7	........	........	PUNCT
ejpam-4168	687	8	........	........	PUNCT
ejpam-4168	687	9	........	........	PUNCT
ejpam-4168	687	10	........	........	PUNCT
ejpam-4168	687	11	........	........	PUNCT
ejpam-4168	687	12	...	...	PUNCT
ejpam-4168	688	1	....................................	....................................	PUNCT
ejpam-4168	688	2	.........	.........	PUNCT
ejpam-4168	688	3	........	........	PUNCT
ejpam-4168	688	4	........	........	PUNCT
ejpam-4168	688	5	........	........	PUNCT
ejpam-4168	688	6	........	........	PUNCT
ejpam-4168	688	7	........	........	PUNCT
ejpam-4168	688	8	........	........	PUNCT
ejpam-4168	688	9	........	........	PUNCT
ejpam-4168	688	10	........	........	PUNCT
ejpam-4168	688	11	...	...	PUNCT
ejpam-4168	689	1	....................................	....................................	PUNCT
ejpam-4168	689	2	.........	.........	PUNCT
ejpam-4168	689	3	........	........	PUNCT
ejpam-4168	689	4	........	........	PUNCT
ejpam-4168	689	5	........	........	PUNCT
ejpam-4168	689	6	........	........	PUNCT
ejpam-4168	689	7	........	........	PUNCT
ejpam-4168	689	8	........	........	PUNCT
ejpam-4168	689	9	........	........	PUNCT
ejpam-4168	689	10	........	........	PUNCT
ejpam-4168	689	11	...	...	PUNCT
ejpam-4168	690	1	....................................	....................................	PUNCT
ejpam-4168	690	2	.........	.........	PUNCT
ejpam-4168	690	3	........	........	PUNCT
ejpam-4168	690	4	........	........	PUNCT
ejpam-4168	690	5	........	........	PUNCT
ejpam-4168	690	6	........	........	PUNCT
ejpam-4168	690	7	........	........	PUNCT
ejpam-4168	690	8	........	........	PUNCT
ejpam-4168	690	9	........	........	PUNCT
ejpam-4168	690	10	........	........	PUNCT
ejpam-4168	690	11	...	...	PUNCT
ejpam-4168	691	1	....................................	....................................	PUNCT
ejpam-4168	691	2	.........	.........	PUNCT
ejpam-4168	691	3	........	........	PUNCT
ejpam-4168	691	4	........	........	PUNCT
ejpam-4168	691	5	........	........	PUNCT
ejpam-4168	691	6	........	........	PUNCT
ejpam-4168	691	7	........	........	PUNCT
ejpam-4168	691	8	........	........	PUNCT
ejpam-4168	691	9	........	........	PUNCT
ejpam-4168	691	10	........	........	PUNCT
ejpam-4168	691	11	...	...	PUNCT
ejpam-4168	692	1	....................................	....................................	PUNCT
ejpam-4168	692	2	....................................	....................................	PUNCT
ejpam-4168	692	3	.........	.........	PUNCT
ejpam-4168	692	4	........	........	PUNCT
ejpam-4168	692	5	........	........	PUNCT
ejpam-4168	692	6	........	........	PUNCT
ejpam-4168	692	7	........	........	PUNCT
ejpam-4168	692	8	........	........	PUNCT
ejpam-4168	692	9	........	........	PUNCT
ejpam-4168	692	10	........	........	PUNCT
ejpam-4168	692	11	........	........	PUNCT
ejpam-4168	692	12	...	...	PUNCT
ejpam-4168	693	1	....................................	....................................	PUNCT
ejpam-4168	693	2	.........	.........	PUNCT
ejpam-4168	693	3	........	........	PUNCT
ejpam-4168	693	4	........	........	PUNCT
ejpam-4168	693	5	........	........	PUNCT
ejpam-4168	693	6	........	........	PUNCT
ejpam-4168	693	7	........	........	PUNCT
ejpam-4168	693	8	........	........	PUNCT
ejpam-4168	693	9	........	........	PUNCT
ejpam-4168	693	10	........	........	PUNCT
ejpam-4168	693	11	...	...	PUNCT
ejpam-4168	694	1	....................................	....................................	PUNCT
ejpam-4168	694	2	.........	.........	PUNCT
ejpam-4168	694	3	........	........	PUNCT
ejpam-4168	694	4	........	........	PUNCT
ejpam-4168	694	5	........	........	PUNCT
ejpam-4168	694	6	........	........	PUNCT
ejpam-4168	694	7	........	........	PUNCT
ejpam-4168	694	8	........	........	PUNCT
ejpam-4168	694	9	........	........	PUNCT
ejpam-4168	694	10	........	........	PUNCT
ejpam-4168	694	11	...	...	PUNCT
ejpam-4168	695	1	....................................	....................................	PUNCT
ejpam-4168	695	2	.........	.........	PUNCT
ejpam-4168	695	3	........	........	PUNCT
ejpam-4168	695	4	........	........	PUNCT
ejpam-4168	695	5	........	........	PUNCT
ejpam-4168	695	6	........	........	PUNCT
ejpam-4168	695	7	........	........	PUNCT
ejpam-4168	695	8	........	........	PUNCT
ejpam-4168	695	9	........	........	PUNCT
ejpam-4168	695	10	........	........	PUNCT
ejpam-4168	695	11	...	...	PUNCT
ejpam-4168	696	1	....................................	....................................	PUNCT
ejpam-4168	696	2	.........	.........	PUNCT
ejpam-4168	696	3	........	........	PUNCT
ejpam-4168	696	4	........	........	PUNCT
ejpam-4168	696	5	........	........	PUNCT
ejpam-4168	696	6	........	........	PUNCT
ejpam-4168	696	7	........	........	PUNCT
ejpam-4168	696	8	........	........	PUNCT
ejpam-4168	696	9	........	........	PUNCT
ejpam-4168	696	10	........	........	PUNCT
ejpam-4168	696	11	...	...	PUNCT
ejpam-4168	697	1	....................................	....................................	PUNCT
ejpam-4168	697	2	....................................	....................................	PUNCT
ejpam-4168	697	3	.........	.........	PUNCT
ejpam-4168	697	4	........	........	PUNCT
ejpam-4168	697	5	........	........	PUNCT
ejpam-4168	697	6	........	........	PUNCT
ejpam-4168	697	7	........	........	PUNCT
ejpam-4168	697	8	........	........	PUNCT
ejpam-4168	697	9	........	........	PUNCT
ejpam-4168	697	10	........	........	PUNCT
ejpam-4168	697	11	........	........	PUNCT
ejpam-4168	697	12	...	...	PUNCT
ejpam-4168	698	1	....................................	....................................	PUNCT
ejpam-4168	698	2	.........	.........	PUNCT
ejpam-4168	698	3	........	........	PUNCT
ejpam-4168	698	4	........	........	PUNCT
ejpam-4168	698	5	........	........	PUNCT
ejpam-4168	698	6	........	........	PUNCT
ejpam-4168	698	7	........	........	PUNCT
ejpam-4168	698	8	........	........	PUNCT
ejpam-4168	698	9	........	........	PUNCT
ejpam-4168	698	10	........	........	PUNCT
ejpam-4168	698	11	...	...	PUNCT
ejpam-4168	699	1	....................................	....................................	PUNCT
ejpam-4168	699	2	.........	.........	PUNCT
ejpam-4168	699	3	........	........	PUNCT
ejpam-4168	699	4	........	........	PUNCT
ejpam-4168	699	5	........	........	PUNCT
ejpam-4168	699	6	........	........	PUNCT
ejpam-4168	699	7	........	........	PUNCT
ejpam-4168	699	8	........	........	PUNCT
ejpam-4168	699	9	........	........	PUNCT
ejpam-4168	699	10	........	........	PUNCT
ejpam-4168	699	11	...	...	PUNCT
ejpam-4168	700	1	....................................	....................................	PUNCT
ejpam-4168	700	2	.........	.........	PUNCT
ejpam-4168	700	3	........	........	PUNCT
ejpam-4168	700	4	........	........	PUNCT
ejpam-4168	700	5	........	........	PUNCT
ejpam-4168	700	6	........	........	PUNCT
ejpam-4168	700	7	........	........	PUNCT
ejpam-4168	700	8	........	........	PUNCT
ejpam-4168	700	9	........	........	PUNCT
ejpam-4168	700	10	........	........	PUNCT
ejpam-4168	700	11	...	...	PUNCT
ejpam-4168	701	1	....................................	....................................	PUNCT
ejpam-4168	701	2	.........	.........	PUNCT
ejpam-4168	701	3	........	........	PUNCT
ejpam-4168	701	4	........	........	PUNCT
ejpam-4168	701	5	........	........	PUNCT
ejpam-4168	701	6	........	........	PUNCT
ejpam-4168	701	7	........	........	PUNCT
ejpam-4168	701	8	........	........	PUNCT
ejpam-4168	701	9	........	........	PUNCT
ejpam-4168	701	10	........	........	PUNCT
ejpam-4168	701	11	...	...	PUNCT
ejpam-4168	702	1	....................................	....................................	PUNCT
ejpam-4168	702	2	....................................	....................................	PUNCT
ejpam-4168	703	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	703	2	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	703	3	............	............	PUNCT
ejpam-4168	703	4	...........	...........	PUNCT
ejpam-4168	703	5	...........	...........	PUNCT
ejpam-4168	703	6	...........	...........	PUNCT
ejpam-4168	703	7	...........	...........	PUNCT
ejpam-4168	703	8	...........	...........	PUNCT
ejpam-4168	703	9	...........	...........	PUNCT
ejpam-4168	703	10	...........	...........	PUNCT
ejpam-4168	703	11	...........	...........	PUNCT
ejpam-4168	703	12	...........	...........	PUNCT
ejpam-4168	703	13	...................	...................	PUNCT
ejpam-4168	703	14	..................	..................	PUNCT
ejpam-4168	703	15	..................	..................	PUNCT
ejpam-4168	703	16	..................	..................	PUNCT
ejpam-4168	704	1	..................	..................	PUNCT
ejpam-4168	704	2	..................	..................	PUNCT
ejpam-4168	705	1	..................	..................	PUNCT
ejpam-4168	705	2	..................	..................	PUNCT
ejpam-4168	706	1	..................	..................	PUNCT
ejpam-4168	706	2	..................	..................	PUNCT
ejpam-4168	706	3	.	.	PUNCT
ejpam-4168	707	1	..........................	..........................	PUNCT
ejpam-4168	707	2	.........................	.........................	PUNCT
ejpam-4168	708	1	.........................	.........................	PUNCT
ejpam-4168	708	2	.........................	.........................	PUNCT
ejpam-4168	708	3	.........................	.........................	PUNCT
ejpam-4168	708	4	.........................	.........................	PUNCT
ejpam-4168	708	5	.........................	.........................	PUNCT
ejpam-4168	708	6	.........................	.........................	PUNCT
ejpam-4168	708	7	.........................	.........................	PUNCT
ejpam-4168	708	8	.........................	.........................	PUNCT
ejpam-4168	708	9	...........	...........	PUNCT
ejpam-4168	708	10	..................................	..................................	PUNCT
ejpam-4168	708	11	.................................	.................................	PUNCT
ejpam-4168	708	12	.................................	.................................	PUNCT
ejpam-4168	708	13	.................................	.................................	PUNCT
ejpam-4168	708	14	.................................	.................................	PUNCT
ejpam-4168	708	15	.................................	.................................	PUNCT
ejpam-4168	708	16	.................................	.................................	PUNCT
ejpam-4168	708	17	.................................	.................................	PUNCT
ejpam-4168	708	18	.................................	.................................	PUNCT
ejpam-4168	708	19	.................................	.................................	PUNCT
ejpam-4168	708	20	...............	...............	PUNCT
ejpam-4168	708	21	.........................................	.........................................	PUNCT
ejpam-4168	708	22	........................................	........................................	PUNCT
ejpam-4168	708	23	........................................	........................................	PUNCT
ejpam-4168	708	24	........................................	........................................	PUNCT
ejpam-4168	708	25	........................................	........................................	PUNCT
ejpam-4168	708	26	........................................	........................................	PUNCT
ejpam-4168	708	27	........................................	........................................	PUNCT
ejpam-4168	708	28	........................................	........................................	PUNCT
ejpam-4168	708	29	........................................	........................................	PUNCT
ejpam-4168	708	30	........................................	........................................	PUNCT
ejpam-4168	708	31	................................	................................	PUNCT
ejpam-4168	708	32	.................................................	.................................................	PUNCT
ejpam-4168	709	1	................................................	................................................	PUNCT
ejpam-4168	709	2	................................................	................................................	PUNCT
ejpam-4168	710	1	................................................	................................................	PUNCT
ejpam-4168	710	2	................................................	................................................	PUNCT
ejpam-4168	711	1	................................................	................................................	PUNCT
ejpam-4168	711	2	................................................	................................................	PUNCT
ejpam-4168	712	1	................................................	................................................	PUNCT
ejpam-4168	712	2	................................................	................................................	PUNCT
ejpam-4168	712	3	................................................	................................................	PUNCT
ejpam-4168	712	4	...............................................................................................................................................	...............................................................................................................................................	PUNCT
ejpam-4168	712	5	............	............	PUNCT
ejpam-4168	712	6	...........	...........	PUNCT
ejpam-4168	712	7	...........	...........	PUNCT
ejpam-4168	712	8	...........	...........	PUNCT
ejpam-4168	712	9	...........	...........	PUNCT
ejpam-4168	712	10	...........	...........	PUNCT
ejpam-4168	712	11	...........	...........	PUNCT
ejpam-4168	712	12	...........	...........	PUNCT
ejpam-4168	712	13	...........	...........	PUNCT
ejpam-4168	712	14	...........	...........	PUNCT
ejpam-4168	712	15	...................	...................	PUNCT
ejpam-4168	712	16	..................	..................	PUNCT
ejpam-4168	712	17	..................	..................	PUNCT
ejpam-4168	712	18	..................	..................	PUNCT
ejpam-4168	713	1	..................	..................	PUNCT
ejpam-4168	713	2	..................	..................	PUNCT
ejpam-4168	714	1	..................	..................	PUNCT
ejpam-4168	714	2	..................	..................	PUNCT
ejpam-4168	715	1	..................	..................	PUNCT
ejpam-4168	715	2	..................	..................	PUNCT
ejpam-4168	715	3	.	.	PUNCT
ejpam-4168	716	1	..........................	..........................	PUNCT
ejpam-4168	716	2	.........................	.........................	PUNCT
ejpam-4168	717	1	.........................	.........................	PUNCT
ejpam-4168	717	2	.........................	.........................	PUNCT
ejpam-4168	717	3	.........................	.........................	PUNCT
ejpam-4168	717	4	.........................	.........................	PUNCT
ejpam-4168	717	5	.........................	.........................	PUNCT
ejpam-4168	717	6	.........................	.........................	PUNCT
ejpam-4168	717	7	.........................	.........................	PUNCT
ejpam-4168	717	8	.........................	.........................	PUNCT
ejpam-4168	717	9	...........	...........	PUNCT
ejpam-4168	717	10	..................................	..................................	PUNCT
ejpam-4168	717	11	.................................	.................................	PUNCT
ejpam-4168	717	12	.................................	.................................	PUNCT
ejpam-4168	717	13	.................................	.................................	PUNCT
ejpam-4168	717	14	.................................	.................................	PUNCT
ejpam-4168	717	15	.................................	.................................	PUNCT
ejpam-4168	717	16	.................................	.................................	PUNCT
ejpam-4168	717	17	.................................	.................................	PUNCT
ejpam-4168	717	18	.................................	.................................	PUNCT
ejpam-4168	717	19	.................................	.................................	PUNCT
ejpam-4168	717	20	...............	...............	PUNCT
ejpam-4168	717	21	.........................................	.........................................	PUNCT
ejpam-4168	717	22	........................................	........................................	PUNCT
ejpam-4168	717	23	........................................	........................................	PUNCT
ejpam-4168	717	24	........................................	........................................	PUNCT
ejpam-4168	717	25	........................................	........................................	PUNCT
ejpam-4168	717	26	........................................	........................................	PUNCT
ejpam-4168	717	27	........................................	........................................	PUNCT
ejpam-4168	717	28	........................................	........................................	PUNCT
ejpam-4168	717	29	........................................	........................................	PUNCT
ejpam-4168	718	1	........................................	........................................	PUNCT
ejpam-4168	718	2	......................................................................................................................................................................................................................	......................................................................................................................................................................................................................	PUNCT
ejpam-4168	719	1	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	719	2	............	............	PUNCT
ejpam-4168	719	3	...........	...........	PUNCT
ejpam-4168	720	1	...........	...........	PUNCT
ejpam-4168	720	2	...........	...........	PUNCT
ejpam-4168	720	3	...........	...........	PUNCT
ejpam-4168	720	4	...........	...........	PUNCT
ejpam-4168	720	5	...........	...........	PUNCT
ejpam-4168	720	6	...........	...........	PUNCT
ejpam-4168	720	7	...........	...........	PUNCT
ejpam-4168	720	8	...........	...........	PUNCT
ejpam-4168	720	9	...................	...................	PUNCT
ejpam-4168	720	10	..................	..................	PUNCT
ejpam-4168	721	1	..................	..................	PUNCT
ejpam-4168	721	2	..................	..................	PUNCT
ejpam-4168	722	1	..................	..................	PUNCT
ejpam-4168	722	2	..................	..................	PUNCT
ejpam-4168	723	1	..................	..................	PUNCT
ejpam-4168	723	2	..................	..................	PUNCT
ejpam-4168	724	1	..................	..................	PUNCT
ejpam-4168	724	2	..................	..................	PUNCT
ejpam-4168	724	3	.	.	PUNCT
ejpam-4168	725	1	..........................	..........................	PUNCT
ejpam-4168	725	2	.........................	.........................	PUNCT
ejpam-4168	726	1	.........................	.........................	PUNCT
ejpam-4168	726	2	.........................	.........................	PUNCT
ejpam-4168	726	3	.........................	.........................	PUNCT
ejpam-4168	726	4	.........................	.........................	PUNCT
ejpam-4168	726	5	.........................	.........................	PUNCT
ejpam-4168	726	6	.........................	.........................	PUNCT
ejpam-4168	726	7	.........................	.........................	PUNCT
ejpam-4168	726	8	.........................	.........................	PUNCT
ejpam-4168	726	9	...........	...........	PUNCT
ejpam-4168	726	10	..................................	..................................	PUNCT
ejpam-4168	726	11	.................................	.................................	PUNCT
ejpam-4168	726	12	.................................	.................................	PUNCT
ejpam-4168	726	13	.................................	.................................	PUNCT
ejpam-4168	726	14	.................................	.................................	PUNCT
ejpam-4168	726	15	.................................	.................................	PUNCT
ejpam-4168	726	16	.................................	.................................	PUNCT
ejpam-4168	726	17	.................................	.................................	PUNCT
ejpam-4168	726	18	.................................	.................................	PUNCT
ejpam-4168	726	19	.................................	.................................	PUNCT
ejpam-4168	727	1	.....................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	727	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	727	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	727	4	............	............	PUNCT
ejpam-4168	727	5	...........	...........	PUNCT
ejpam-4168	727	6	...........	...........	PUNCT
ejpam-4168	727	7	...........	...........	PUNCT
ejpam-4168	727	8	...........	...........	PUNCT
ejpam-4168	727	9	...........	...........	PUNCT
ejpam-4168	727	10	...........	...........	PUNCT
ejpam-4168	727	11	...........	...........	PUNCT
ejpam-4168	727	12	...........	...........	PUNCT
ejpam-4168	727	13	...........	...........	PUNCT
ejpam-4168	727	14	...................	...................	PUNCT
ejpam-4168	727	15	..................	..................	PUNCT
ejpam-4168	727	16	..................	..................	PUNCT
ejpam-4168	728	1	..................	..................	PUNCT
ejpam-4168	728	2	..................	..................	PUNCT
ejpam-4168	729	1	..................	..................	PUNCT
ejpam-4168	729	2	..................	..................	PUNCT
ejpam-4168	730	1	..................	..................	PUNCT
ejpam-4168	730	2	..................	..................	PUNCT
ejpam-4168	730	3	..................	..................	PUNCT
ejpam-4168	730	4	.	.	PUNCT
ejpam-4168	731	1	..........................	..........................	PUNCT
ejpam-4168	731	2	.........................	.........................	PUNCT
ejpam-4168	732	1	.........................	.........................	PUNCT
ejpam-4168	732	2	.........................	.........................	PUNCT
ejpam-4168	732	3	.........................	.........................	PUNCT
ejpam-4168	732	4	.........................	.........................	PUNCT
ejpam-4168	732	5	.........................	.........................	PUNCT
ejpam-4168	732	6	.........................	.........................	PUNCT
ejpam-4168	732	7	.........................	.........................	PUNCT
ejpam-4168	732	8	.........................	.........................	PUNCT
ejpam-4168	733	1	.................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	733	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	733	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	733	4	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	733	5	.........	.........	PUNCT
ejpam-4168	733	6	...........	...........	PUNCT
ejpam-4168	733	7	...........	...........	PUNCT
ejpam-4168	733	8	...........	...........	PUNCT
ejpam-4168	733	9	...........	...........	PUNCT
ejpam-4168	733	10	...........	...........	PUNCT
ejpam-4168	733	11	...........	...........	PUNCT
ejpam-4168	733	12	...........	...........	PUNCT
ejpam-4168	733	13	...........	...........	PUNCT
ejpam-4168	733	14	...........	...........	PUNCT
ejpam-4168	733	15	...	...	PUNCT
ejpam-4168	733	16	...................	...................	PUNCT
ejpam-4168	733	17	..................	..................	PUNCT
ejpam-4168	733	18	..................	..................	PUNCT
ejpam-4168	733	19	..................	..................	PUNCT
ejpam-4168	733	20	..................	..................	PUNCT
ejpam-4168	733	21	..................	..................	PUNCT
ejpam-4168	733	22	..................	..................	PUNCT
ejpam-4168	733	23	..................	..................	PUNCT
ejpam-4168	733	24	..................	..................	PUNCT
ejpam-4168	733	25	..................	..................	PUNCT
ejpam-4168	733	26	.	.	PUNCT
ejpam-4168	733	27	............	............	PUNCT
ejpam-4168	733	28	...........	...........	PUNCT
ejpam-4168	733	29	...........	...........	PUNCT
ejpam-4168	733	30	...........	...........	PUNCT
ejpam-4168	733	31	...........	...........	PUNCT
ejpam-4168	733	32	...........	...........	PUNCT
ejpam-4168	733	33	...........	...........	PUNCT
ejpam-4168	733	34	...........	...........	PUNCT
ejpam-4168	733	35	...........	...........	PUNCT
ejpam-4168	733	36	...........	...........	PUNCT
ejpam-4168	733	37	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	733	38	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	734	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	734	2	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	735	1	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	735	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	736	1	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	736	2	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	737	1	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	737	2	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	738	1	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	738	2	............	............	PUNCT
ejpam-4168	738	3	...........	...........	PUNCT
ejpam-4168	738	4	...........	...........	PUNCT
ejpam-4168	738	5	...........	...........	PUNCT
ejpam-4168	738	6	...........	...........	PUNCT
ejpam-4168	738	7	...........	...........	PUNCT
ejpam-4168	738	8	...........	...........	PUNCT
ejpam-4168	738	9	...........	...........	PUNCT
ejpam-4168	738	10	...........	...........	PUNCT
ejpam-4168	738	11	...........	...........	PUNCT
ejpam-4168	738	12	...................	...................	PUNCT
ejpam-4168	738	13	..................	..................	PUNCT
ejpam-4168	739	1	..................	..................	PUNCT
ejpam-4168	739	2	..................	..................	PUNCT
ejpam-4168	740	1	..................	..................	PUNCT
ejpam-4168	740	2	..................	..................	PUNCT
ejpam-4168	741	1	..................	..................	PUNCT
ejpam-4168	741	2	..................	..................	PUNCT
ejpam-4168	742	1	..................	..................	PUNCT
ejpam-4168	742	2	..................	..................	PUNCT
ejpam-4168	742	3	.	.	PUNCT
ejpam-4168	743	1	..........................	..........................	PUNCT
ejpam-4168	743	2	.........................	.........................	PUNCT
ejpam-4168	744	1	.........................	.........................	PUNCT
ejpam-4168	744	2	.........................	.........................	PUNCT
ejpam-4168	744	3	.........................	.........................	PUNCT
ejpam-4168	744	4	.........................	.........................	PUNCT
ejpam-4168	744	5	.........................	.........................	PUNCT
ejpam-4168	744	6	.........................	.........................	PUNCT
ejpam-4168	744	7	.........................	.........................	PUNCT
ejpam-4168	744	8	.........................	.........................	PUNCT
ejpam-4168	744	9	...........	...........	PUNCT
ejpam-4168	744	10	..................................	..................................	PUNCT
ejpam-4168	744	11	.................................	.................................	PUNCT
ejpam-4168	744	12	.................................	.................................	PUNCT
ejpam-4168	744	13	.................................	.................................	PUNCT
ejpam-4168	744	14	.................................	.................................	PUNCT
ejpam-4168	744	15	.................................	.................................	PUNCT
ejpam-4168	744	16	.................................	.................................	PUNCT
ejpam-4168	744	17	.................................	.................................	PUNCT
ejpam-4168	744	18	.................................	.................................	PUNCT
ejpam-4168	744	19	.................................	.................................	PUNCT
ejpam-4168	744	20	...............	...............	PUNCT
ejpam-4168	744	21	.........................................	.........................................	PUNCT
ejpam-4168	744	22	........................................	........................................	PUNCT
ejpam-4168	744	23	........................................	........................................	PUNCT
ejpam-4168	744	24	........................................	........................................	PUNCT
ejpam-4168	744	25	........................................	........................................	PUNCT
ejpam-4168	744	26	........................................	........................................	PUNCT
ejpam-4168	744	27	........................................	........................................	PUNCT
ejpam-4168	744	28	........................................	........................................	PUNCT
ejpam-4168	744	29	........................................	........................................	PUNCT
ejpam-4168	744	30	........................................	........................................	PUNCT
ejpam-4168	744	31	................................	................................	PUNCT
ejpam-4168	744	32	.................................................	.................................................	PUNCT
ejpam-4168	745	1	................................................	................................................	PUNCT
ejpam-4168	745	2	................................................	................................................	PUNCT
ejpam-4168	746	1	................................................	................................................	PUNCT
ejpam-4168	746	2	................................................	................................................	PUNCT
ejpam-4168	747	1	................................................	................................................	PUNCT
ejpam-4168	747	2	................................................	................................................	PUNCT
ejpam-4168	748	1	................................................	................................................	PUNCT
ejpam-4168	748	2	................................................	................................................	PUNCT
ejpam-4168	748	3	................................................	................................................	PUNCT
ejpam-4168	748	4	...............................................................................................................................................	...............................................................................................................................................	PUNCT
ejpam-4168	748	5	............	............	PUNCT
ejpam-4168	748	6	...........	...........	PUNCT
ejpam-4168	748	7	...........	...........	PUNCT
ejpam-4168	748	8	...........	...........	PUNCT
ejpam-4168	748	9	...........	...........	PUNCT
ejpam-4168	748	10	...........	...........	PUNCT
ejpam-4168	748	11	...........	...........	PUNCT
ejpam-4168	748	12	...........	...........	PUNCT
ejpam-4168	748	13	...........	...........	PUNCT
ejpam-4168	748	14	...........	...........	PUNCT
ejpam-4168	748	15	...................	...................	PUNCT
ejpam-4168	748	16	..................	..................	PUNCT
ejpam-4168	748	17	..................	..................	PUNCT
ejpam-4168	748	18	..................	..................	PUNCT
ejpam-4168	749	1	..................	..................	PUNCT
ejpam-4168	749	2	..................	..................	PUNCT
ejpam-4168	750	1	..................	..................	PUNCT
ejpam-4168	750	2	..................	..................	PUNCT
ejpam-4168	751	1	..................	..................	PUNCT
ejpam-4168	751	2	..................	..................	PUNCT
ejpam-4168	751	3	.	.	PUNCT
ejpam-4168	752	1	..........................	..........................	PUNCT
ejpam-4168	752	2	.........................	.........................	PUNCT
ejpam-4168	753	1	.........................	.........................	PUNCT
ejpam-4168	753	2	.........................	.........................	PUNCT
ejpam-4168	753	3	.........................	.........................	PUNCT
ejpam-4168	753	4	.........................	.........................	PUNCT
ejpam-4168	753	5	.........................	.........................	PUNCT
ejpam-4168	753	6	.........................	.........................	PUNCT
ejpam-4168	753	7	.........................	.........................	PUNCT
ejpam-4168	753	8	.........................	.........................	PUNCT
ejpam-4168	753	9	...........	...........	PUNCT
ejpam-4168	753	10	..................................	..................................	PUNCT
ejpam-4168	753	11	.................................	.................................	PUNCT
ejpam-4168	753	12	.................................	.................................	PUNCT
ejpam-4168	753	13	.................................	.................................	PUNCT
ejpam-4168	753	14	.................................	.................................	PUNCT
ejpam-4168	753	15	.................................	.................................	PUNCT
ejpam-4168	753	16	.................................	.................................	PUNCT
ejpam-4168	753	17	.................................	.................................	PUNCT
ejpam-4168	753	18	.................................	.................................	PUNCT
ejpam-4168	753	19	.................................	.................................	PUNCT
ejpam-4168	753	20	...............	...............	PUNCT
ejpam-4168	753	21	.........................................	.........................................	PUNCT
ejpam-4168	753	22	........................................	........................................	PUNCT
ejpam-4168	753	23	........................................	........................................	PUNCT
ejpam-4168	753	24	........................................	........................................	PUNCT
ejpam-4168	753	25	........................................	........................................	PUNCT
ejpam-4168	753	26	........................................	........................................	PUNCT
ejpam-4168	753	27	........................................	........................................	PUNCT
ejpam-4168	753	28	........................................	........................................	PUNCT
ejpam-4168	753	29	........................................	........................................	PUNCT
ejpam-4168	754	1	........................................	........................................	PUNCT
ejpam-4168	754	2	......................................................................................................................................................................................................................	......................................................................................................................................................................................................................	PUNCT
ejpam-4168	755	1	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	755	2	............	............	PUNCT
ejpam-4168	755	3	...........	...........	PUNCT
ejpam-4168	756	1	...........	...........	PUNCT
ejpam-4168	756	2	...........	...........	PUNCT
ejpam-4168	756	3	...........	...........	PUNCT
ejpam-4168	756	4	...........	...........	PUNCT
ejpam-4168	756	5	...........	...........	PUNCT
ejpam-4168	756	6	...........	...........	PUNCT
ejpam-4168	756	7	...........	...........	PUNCT
ejpam-4168	756	8	...........	...........	PUNCT
ejpam-4168	756	9	...................	...................	PUNCT
ejpam-4168	756	10	..................	..................	PUNCT
ejpam-4168	757	1	..................	..................	PUNCT
ejpam-4168	757	2	..................	..................	PUNCT
ejpam-4168	758	1	..................	..................	PUNCT
ejpam-4168	758	2	..................	..................	PUNCT
ejpam-4168	759	1	..................	..................	PUNCT
ejpam-4168	759	2	..................	..................	PUNCT
ejpam-4168	760	1	..................	..................	PUNCT
ejpam-4168	760	2	..................	..................	PUNCT
ejpam-4168	760	3	.	.	PUNCT
ejpam-4168	761	1	..........................	..........................	PUNCT
ejpam-4168	761	2	.........................	.........................	PUNCT
ejpam-4168	762	1	.........................	.........................	PUNCT
ejpam-4168	762	2	.........................	.........................	PUNCT
ejpam-4168	762	3	.........................	.........................	PUNCT
ejpam-4168	762	4	.........................	.........................	PUNCT
ejpam-4168	762	5	.........................	.........................	PUNCT
ejpam-4168	762	6	.........................	.........................	PUNCT
ejpam-4168	762	7	.........................	.........................	PUNCT
ejpam-4168	762	8	.........................	.........................	PUNCT
ejpam-4168	762	9	...........	...........	PUNCT
ejpam-4168	762	10	..................................	..................................	PUNCT
ejpam-4168	762	11	.................................	.................................	PUNCT
ejpam-4168	762	12	.................................	.................................	PUNCT
ejpam-4168	762	13	.................................	.................................	PUNCT
ejpam-4168	762	14	.................................	.................................	PUNCT
ejpam-4168	762	15	.................................	.................................	PUNCT
ejpam-4168	762	16	.................................	.................................	PUNCT
ejpam-4168	762	17	.................................	.................................	PUNCT
ejpam-4168	762	18	.................................	.................................	PUNCT
ejpam-4168	762	19	.................................	.................................	PUNCT
ejpam-4168	763	1	.....................................................................................................................................................................................................	.....................................................................................................................................................................................................	PROPN
ejpam-4168	763	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	764	1	.........	.........	PUNCT
ejpam-4168	764	2	........	........	PUNCT
ejpam-4168	764	3	........	........	PUNCT
ejpam-4168	764	4	........	........	PUNCT
ejpam-4168	764	5	........	........	PUNCT
ejpam-4168	764	6	........	........	PUNCT
ejpam-4168	764	7	........	........	PUNCT
ejpam-4168	764	8	........	........	PUNCT
ejpam-4168	765	1	........	........	PUNCT
ejpam-4168	765	2	...	...	PUNCT
ejpam-4168	765	3	............	............	PUNCT
ejpam-4168	765	4	...........	...........	PUNCT
ejpam-4168	765	5	...........	...........	PUNCT
ejpam-4168	765	6	...........	...........	PUNCT
ejpam-4168	765	7	...........	...........	PUNCT
ejpam-4168	765	8	...........	...........	PUNCT
ejpam-4168	765	9	...........	...........	PUNCT
ejpam-4168	765	10	...........	...........	PUNCT
ejpam-4168	765	11	...........	...........	PUNCT
ejpam-4168	765	12	...........	...........	PUNCT
ejpam-4168	765	13	...................	...................	PUNCT
ejpam-4168	765	14	..................	..................	PUNCT
ejpam-4168	765	15	..................	..................	PUNCT
ejpam-4168	766	1	..................	..................	PUNCT
ejpam-4168	766	2	..................	..................	PUNCT
ejpam-4168	767	1	..................	..................	PUNCT
ejpam-4168	767	2	..................	..................	PUNCT
ejpam-4168	768	1	..................	..................	PUNCT
ejpam-4168	768	2	..................	..................	PUNCT
ejpam-4168	768	3	..................	..................	PUNCT
ejpam-4168	768	4	.	.	PUNCT
ejpam-4168	769	1	..........................	..........................	PUNCT
ejpam-4168	769	2	.........................	.........................	PUNCT
ejpam-4168	770	1	.........................	.........................	PUNCT
ejpam-4168	770	2	.........................	.........................	PUNCT
ejpam-4168	770	3	.........................	.........................	PUNCT
ejpam-4168	770	4	.........................	.........................	PUNCT
ejpam-4168	770	5	.........................	.........................	PUNCT
ejpam-4168	770	6	.........................	.........................	PUNCT
ejpam-4168	770	7	.........................	.........................	PUNCT
ejpam-4168	770	8	.........................	.........................	PUNCT
ejpam-4168	771	1	.................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	771	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	771	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	771	4	............	............	PUNCT
ejpam-4168	771	5	...........	...........	PUNCT
ejpam-4168	771	6	...........	...........	PUNCT
ejpam-4168	771	7	...........	...........	PUNCT
ejpam-4168	771	8	...........	...........	PUNCT
ejpam-4168	771	9	...........	...........	PUNCT
ejpam-4168	771	10	...........	...........	PUNCT
ejpam-4168	771	11	...........	...........	PUNCT
ejpam-4168	771	12	...........	...........	PUNCT
ejpam-4168	771	13	...........	...........	PUNCT
ejpam-4168	771	14	...................	...................	PUNCT
ejpam-4168	771	15	..................	..................	PUNCT
ejpam-4168	771	16	..................	..................	PUNCT
ejpam-4168	771	17	..................	..................	PUNCT
ejpam-4168	771	18	..................	..................	PUNCT
ejpam-4168	771	19	..................	..................	PUNCT
ejpam-4168	771	20	..................	..................	PUNCT
ejpam-4168	771	21	..................	..................	PUNCT
ejpam-4168	771	22	..................	..................	PUNCT
ejpam-4168	771	23	..................	..................	PUNCT
ejpam-4168	772	1	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	772	2	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	773	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	773	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	773	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	773	4	............	............	PUNCT
ejpam-4168	773	5	...........	...........	PUNCT
ejpam-4168	773	6	...........	...........	PUNCT
ejpam-4168	773	7	...........	...........	PUNCT
ejpam-4168	773	8	...........	...........	PUNCT
ejpam-4168	773	9	...........	...........	PUNCT
ejpam-4168	773	10	...........	...........	PUNCT
ejpam-4168	773	11	...........	...........	PUNCT
ejpam-4168	773	12	...........	...........	PUNCT
ejpam-4168	773	13	...........	...........	PUNCT
ejpam-4168	773	14	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	773	15	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	773	16	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	774	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	774	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	774	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	774	4	............	............	PUNCT
ejpam-4168	774	5	...........	...........	PUNCT
ejpam-4168	774	6	...........	...........	PUNCT
ejpam-4168	774	7	...........	...........	PUNCT
ejpam-4168	774	8	...........	...........	PUNCT
ejpam-4168	774	9	...........	...........	PUNCT
ejpam-4168	774	10	...........	...........	PUNCT
ejpam-4168	774	11	...........	...........	PUNCT
ejpam-4168	774	12	...........	...........	PUNCT
ejpam-4168	774	13	...........	...........	PUNCT
ejpam-4168	774	14	...................	...................	PUNCT
ejpam-4168	774	15	..................	..................	PUNCT
ejpam-4168	774	16	..................	..................	PUNCT
ejpam-4168	774	17	..................	..................	PUNCT
ejpam-4168	775	1	..................	..................	PUNCT
ejpam-4168	775	2	..................	..................	PUNCT
ejpam-4168	776	1	..................	..................	PUNCT
ejpam-4168	776	2	..................	..................	PUNCT
ejpam-4168	777	1	..................	..................	PUNCT
ejpam-4168	777	2	..................	..................	PUNCT
ejpam-4168	777	3	.	.	PUNCT
ejpam-4168	778	1	..........................	..........................	PUNCT
ejpam-4168	778	2	.........................	.........................	PUNCT
ejpam-4168	779	1	.........................	.........................	PUNCT
ejpam-4168	779	2	.........................	.........................	PUNCT
ejpam-4168	779	3	.........................	.........................	PUNCT
ejpam-4168	779	4	.........................	.........................	PUNCT
ejpam-4168	779	5	.........................	.........................	PUNCT
ejpam-4168	779	6	.........................	.........................	PUNCT
ejpam-4168	779	7	.........................	.........................	PUNCT
ejpam-4168	779	8	.........................	.........................	PUNCT
ejpam-4168	779	9	...........	...........	PUNCT
ejpam-4168	779	10	..................................	..................................	PUNCT
ejpam-4168	779	11	.................................	.................................	PUNCT
ejpam-4168	779	12	.................................	.................................	PUNCT
ejpam-4168	779	13	.................................	.................................	PUNCT
ejpam-4168	779	14	.................................	.................................	PUNCT
ejpam-4168	779	15	.................................	.................................	PUNCT
ejpam-4168	779	16	.................................	.................................	PUNCT
ejpam-4168	779	17	.................................	.................................	PUNCT
ejpam-4168	779	18	.................................	.................................	PUNCT
ejpam-4168	779	19	.................................	.................................	PUNCT
ejpam-4168	779	20	...............	...............	PUNCT
ejpam-4168	779	21	.........................................	.........................................	PUNCT
ejpam-4168	779	22	........................................	........................................	PUNCT
ejpam-4168	779	23	........................................	........................................	PUNCT
ejpam-4168	779	24	........................................	........................................	PUNCT
ejpam-4168	779	25	........................................	........................................	PUNCT
ejpam-4168	779	26	........................................	........................................	PUNCT
ejpam-4168	779	27	........................................	........................................	PUNCT
ejpam-4168	779	28	........................................	........................................	PUNCT
ejpam-4168	779	29	........................................	........................................	PUNCT
ejpam-4168	779	30	........................................	........................................	PUNCT
ejpam-4168	779	31	................................	................................	PUNCT
ejpam-4168	779	32	.................................................	.................................................	PUNCT
ejpam-4168	780	1	................................................	................................................	PUNCT
ejpam-4168	780	2	................................................	................................................	PUNCT
ejpam-4168	781	1	................................................	................................................	PUNCT
ejpam-4168	781	2	................................................	................................................	PUNCT
ejpam-4168	782	1	................................................	................................................	PUNCT
ejpam-4168	782	2	................................................	................................................	PUNCT
ejpam-4168	783	1	................................................	................................................	PUNCT
ejpam-4168	783	2	................................................	................................................	PUNCT
ejpam-4168	783	3	................................................	................................................	PUNCT
ejpam-4168	783	4	...............................................................................................................................................	...............................................................................................................................................	PUNCT
ejpam-4168	783	5	............	............	PUNCT
ejpam-4168	783	6	...........	...........	PUNCT
ejpam-4168	783	7	...........	...........	PUNCT
ejpam-4168	783	8	...........	...........	PUNCT
ejpam-4168	783	9	...........	...........	PUNCT
ejpam-4168	783	10	...........	...........	PUNCT
ejpam-4168	783	11	...........	...........	PUNCT
ejpam-4168	783	12	...........	...........	PUNCT
ejpam-4168	783	13	...........	...........	PUNCT
ejpam-4168	783	14	...........	...........	PUNCT
ejpam-4168	783	15	...................	...................	PUNCT
ejpam-4168	783	16	..................	..................	PUNCT
ejpam-4168	783	17	..................	..................	PUNCT
ejpam-4168	783	18	..................	..................	PUNCT
ejpam-4168	784	1	..................	..................	PUNCT
ejpam-4168	784	2	..................	..................	PUNCT
ejpam-4168	785	1	..................	..................	PUNCT
ejpam-4168	785	2	..................	..................	PUNCT
ejpam-4168	786	1	..................	..................	PUNCT
ejpam-4168	786	2	..................	..................	PUNCT
ejpam-4168	786	3	.	.	PUNCT
ejpam-4168	787	1	..........................	..........................	PUNCT
ejpam-4168	787	2	.........................	.........................	PUNCT
ejpam-4168	788	1	.........................	.........................	PUNCT
ejpam-4168	788	2	.........................	.........................	PUNCT
ejpam-4168	788	3	.........................	.........................	PUNCT
ejpam-4168	788	4	.........................	.........................	PUNCT
ejpam-4168	788	5	.........................	.........................	PUNCT
ejpam-4168	788	6	.........................	.........................	PUNCT
ejpam-4168	788	7	.........................	.........................	PUNCT
ejpam-4168	788	8	.........................	.........................	PUNCT
ejpam-4168	788	9	...........	...........	PUNCT
ejpam-4168	788	10	..................................	..................................	PUNCT
ejpam-4168	788	11	.................................	.................................	PUNCT
ejpam-4168	788	12	.................................	.................................	PUNCT
ejpam-4168	788	13	.................................	.................................	PUNCT
ejpam-4168	788	14	.................................	.................................	PUNCT
ejpam-4168	788	15	.................................	.................................	PUNCT
ejpam-4168	788	16	.................................	.................................	PUNCT
ejpam-4168	788	17	.................................	.................................	PUNCT
ejpam-4168	788	18	.................................	.................................	PUNCT
ejpam-4168	788	19	.................................	.................................	PUNCT
ejpam-4168	788	20	...............	...............	PUNCT
ejpam-4168	788	21	.........................................	.........................................	PUNCT
ejpam-4168	788	22	........................................	........................................	PUNCT
ejpam-4168	788	23	........................................	........................................	PUNCT
ejpam-4168	788	24	........................................	........................................	PUNCT
ejpam-4168	788	25	........................................	........................................	PUNCT
ejpam-4168	788	26	........................................	........................................	PUNCT
ejpam-4168	788	27	........................................	........................................	PUNCT
ejpam-4168	788	28	........................................	........................................	PUNCT
ejpam-4168	788	29	........................................	........................................	PUNCT
ejpam-4168	788	30	........................................	........................................	PUNCT
ejpam-4168	789	1	...............................................................................................................................................	...............................................................................................................................................	PUNCT
ejpam-4168	789	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	789	3	...........	...........	PUNCT
ejpam-4168	789	4	...........	...........	PUNCT
ejpam-4168	789	5	...........	...........	PUNCT
ejpam-4168	789	6	...........	...........	PUNCT
ejpam-4168	789	7	...........	...........	PUNCT
ejpam-4168	789	8	...........	...........	PUNCT
ejpam-4168	789	9	...........	...........	PUNCT
ejpam-4168	789	10	...........	...........	PUNCT
ejpam-4168	789	11	...........	...........	PUNCT
ejpam-4168	789	12	...........	...........	PUNCT
ejpam-4168	789	13	.	.	PUNCT
ejpam-4168	790	1	...................	...................	PUNCT
ejpam-4168	790	2	..................	..................	PUNCT
ejpam-4168	791	1	..................	..................	PUNCT
ejpam-4168	791	2	..................	..................	PUNCT
ejpam-4168	792	1	..................	..................	PUNCT
ejpam-4168	792	2	..................	..................	PUNCT
ejpam-4168	793	1	..................	..................	PUNCT
ejpam-4168	793	2	..................	..................	PUNCT
ejpam-4168	794	1	..................	..................	PUNCT
ejpam-4168	794	2	..................	..................	PUNCT
ejpam-4168	794	3	.	.	PUNCT
ejpam-4168	795	1	..........................	..........................	PUNCT
ejpam-4168	795	2	.........................	.........................	PUNCT
ejpam-4168	796	1	.........................	.........................	PUNCT
ejpam-4168	796	2	.........................	.........................	PUNCT
ejpam-4168	796	3	.........................	.........................	PUNCT
ejpam-4168	796	4	.........................	.........................	PUNCT
ejpam-4168	796	5	.........................	.........................	PUNCT
ejpam-4168	796	6	.........................	.........................	PUNCT
ejpam-4168	796	7	.........................	.........................	PUNCT
ejpam-4168	796	8	.........................	.........................	PUNCT
ejpam-4168	796	9	...........	...........	PUNCT
ejpam-4168	796	10	..................................	..................................	PUNCT
ejpam-4168	796	11	.................................	.................................	PUNCT
ejpam-4168	796	12	.................................	.................................	PUNCT
ejpam-4168	796	13	.................................	.................................	PUNCT
ejpam-4168	796	14	.................................	.................................	PUNCT
ejpam-4168	796	15	.................................	.................................	PUNCT
ejpam-4168	796	16	.................................	.................................	PUNCT
ejpam-4168	796	17	.................................	.................................	PUNCT
ejpam-4168	796	18	.................................	.................................	PUNCT
ejpam-4168	796	19	.................................	.................................	PUNCT
ejpam-4168	797	1	.....................................................................................................................................................................................................	.....................................................................................................................................................................................................	PROPN
ejpam-4168	797	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	798	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	798	2	.........	.........	PUNCT
ejpam-4168	799	1	...........	...........	PUNCT
ejpam-4168	799	2	...........	...........	PUNCT
ejpam-4168	799	3	...........	...........	PUNCT
ejpam-4168	799	4	...........	...........	PUNCT
ejpam-4168	799	5	...........	...........	PUNCT
ejpam-4168	799	6	...........	...........	PUNCT
ejpam-4168	799	7	...........	...........	PUNCT
ejpam-4168	799	8	...........	...........	PUNCT
ejpam-4168	799	9	...........	...........	PUNCT
ejpam-4168	799	10	...	...	PUNCT
ejpam-4168	799	11	...................	...................	PUNCT
ejpam-4168	800	1	..................	..................	PUNCT
ejpam-4168	800	2	..................	..................	PUNCT
ejpam-4168	801	1	..................	..................	PUNCT
ejpam-4168	801	2	..................	..................	PUNCT
ejpam-4168	802	1	..................	..................	PUNCT
ejpam-4168	802	2	..................	..................	PUNCT
ejpam-4168	803	1	..................	..................	PUNCT
ejpam-4168	803	2	..................	..................	PUNCT
ejpam-4168	803	3	..................	..................	PUNCT
ejpam-4168	803	4	.	.	PUNCT
ejpam-4168	804	1	..........................	..........................	PUNCT
ejpam-4168	804	2	.........................	.........................	PUNCT
ejpam-4168	805	1	.........................	.........................	PUNCT
ejpam-4168	805	2	.........................	.........................	PUNCT
ejpam-4168	805	3	.........................	.........................	PUNCT
ejpam-4168	805	4	.........................	.........................	PUNCT
ejpam-4168	805	5	.........................	.........................	PUNCT
ejpam-4168	805	6	.........................	.........................	PUNCT
ejpam-4168	805	7	.........................	.........................	PUNCT
ejpam-4168	805	8	.........................	.........................	PUNCT
ejpam-4168	805	9	.....................................................................................................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	806	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	806	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	806	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	806	4	............	............	PUNCT
ejpam-4168	806	5	...........	...........	PUNCT
ejpam-4168	806	6	...........	...........	PUNCT
ejpam-4168	806	7	...........	...........	PUNCT
ejpam-4168	806	8	...........	...........	PUNCT
ejpam-4168	806	9	...........	...........	PUNCT
ejpam-4168	806	10	...........	...........	PUNCT
ejpam-4168	806	11	...........	...........	PUNCT
ejpam-4168	806	12	...........	...........	PUNCT
ejpam-4168	806	13	...........	...........	PUNCT
ejpam-4168	806	14	...................	...................	PUNCT
ejpam-4168	806	15	..................	..................	PUNCT
ejpam-4168	806	16	..................	..................	PUNCT
ejpam-4168	806	17	..................	..................	PUNCT
ejpam-4168	806	18	..................	..................	PUNCT
ejpam-4168	806	19	..................	..................	PUNCT
ejpam-4168	806	20	..................	..................	PUNCT
ejpam-4168	806	21	..................	..................	PUNCT
ejpam-4168	807	1	..................	..................	PUNCT
ejpam-4168	807	2	..................	..................	PUNCT
ejpam-4168	808	1	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	808	2	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	809	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	809	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	809	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	809	4	............	............	PUNCT
ejpam-4168	809	5	...........	...........	PUNCT
ejpam-4168	809	6	...........	...........	PUNCT
ejpam-4168	809	7	...........	...........	PUNCT
ejpam-4168	809	8	...........	...........	PUNCT
ejpam-4168	809	9	...........	...........	PUNCT
ejpam-4168	809	10	...........	...........	PUNCT
ejpam-4168	809	11	...........	...........	PUNCT
ejpam-4168	809	12	...........	...........	PUNCT
ejpam-4168	809	13	...........	...........	PUNCT
ejpam-4168	809	14	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	809	15	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	809	16	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	810	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	810	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	810	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	810	4	............	............	PUNCT
ejpam-4168	810	5	...........	...........	PUNCT
ejpam-4168	810	6	...........	...........	PUNCT
ejpam-4168	810	7	...........	...........	PUNCT
ejpam-4168	810	8	...........	...........	PUNCT
ejpam-4168	810	9	...........	...........	PUNCT
ejpam-4168	810	10	...........	...........	PUNCT
ejpam-4168	810	11	...........	...........	PUNCT
ejpam-4168	810	12	...........	...........	PUNCT
ejpam-4168	810	13	...........	...........	PUNCT
ejpam-4168	810	14	...................	...................	PUNCT
ejpam-4168	810	15	..................	..................	PUNCT
ejpam-4168	810	16	..................	..................	PUNCT
ejpam-4168	810	17	..................	..................	PUNCT
ejpam-4168	811	1	..................	..................	PUNCT
ejpam-4168	811	2	..................	..................	PUNCT
ejpam-4168	812	1	..................	..................	PUNCT
ejpam-4168	812	2	..................	..................	PUNCT
ejpam-4168	813	1	..................	..................	PUNCT
ejpam-4168	813	2	..................	..................	PUNCT
ejpam-4168	813	3	.	.	PUNCT
ejpam-4168	814	1	..........................	..........................	PUNCT
ejpam-4168	814	2	.........................	.........................	PUNCT
ejpam-4168	815	1	.........................	.........................	PUNCT
ejpam-4168	815	2	.........................	.........................	PUNCT
ejpam-4168	815	3	.........................	.........................	PUNCT
ejpam-4168	815	4	.........................	.........................	PUNCT
ejpam-4168	815	5	.........................	.........................	PUNCT
ejpam-4168	815	6	.........................	.........................	PUNCT
ejpam-4168	815	7	.........................	.........................	PUNCT
ejpam-4168	815	8	.........................	.........................	PUNCT
ejpam-4168	815	9	...........	...........	PUNCT
ejpam-4168	815	10	..................................	..................................	PUNCT
ejpam-4168	815	11	.................................	.................................	PUNCT
ejpam-4168	815	12	.................................	.................................	PUNCT
ejpam-4168	815	13	.................................	.................................	PUNCT
ejpam-4168	815	14	.................................	.................................	PUNCT
ejpam-4168	815	15	.................................	.................................	PUNCT
ejpam-4168	815	16	.................................	.................................	PUNCT
ejpam-4168	815	17	.................................	.................................	PUNCT
ejpam-4168	815	18	.................................	.................................	PUNCT
ejpam-4168	815	19	.................................	.................................	PUNCT
ejpam-4168	815	20	...............	...............	PUNCT
ejpam-4168	815	21	.........................................	.........................................	PUNCT
ejpam-4168	815	22	........................................	........................................	PUNCT
ejpam-4168	815	23	........................................	........................................	PUNCT
ejpam-4168	815	24	........................................	........................................	PUNCT
ejpam-4168	815	25	........................................	........................................	PUNCT
ejpam-4168	815	26	........................................	........................................	PUNCT
ejpam-4168	815	27	........................................	........................................	PUNCT
ejpam-4168	815	28	........................................	........................................	PUNCT
ejpam-4168	815	29	........................................	........................................	PUNCT
ejpam-4168	815	30	........................................	........................................	PUNCT
ejpam-4168	815	31	................................	................................	PUNCT
ejpam-4168	815	32	.................................................	.................................................	PUNCT
ejpam-4168	816	1	................................................	................................................	PUNCT
ejpam-4168	816	2	................................................	................................................	PUNCT
ejpam-4168	817	1	................................................	................................................	PUNCT
ejpam-4168	817	2	................................................	................................................	PUNCT
ejpam-4168	818	1	................................................	................................................	PUNCT
ejpam-4168	818	2	................................................	................................................	PUNCT
ejpam-4168	819	1	................................................	................................................	PUNCT
ejpam-4168	819	2	................................................	................................................	PUNCT
ejpam-4168	819	3	................................................	................................................	PUNCT
ejpam-4168	819	4	...............................................................................................................................................	...............................................................................................................................................	PUNCT
ejpam-4168	819	5	............	............	PUNCT
ejpam-4168	819	6	...........	...........	PUNCT
ejpam-4168	819	7	...........	...........	PUNCT
ejpam-4168	819	8	...........	...........	PUNCT
ejpam-4168	819	9	...........	...........	PUNCT
ejpam-4168	819	10	...........	...........	PUNCT
ejpam-4168	819	11	...........	...........	PUNCT
ejpam-4168	819	12	...........	...........	PUNCT
ejpam-4168	819	13	...........	...........	PUNCT
ejpam-4168	819	14	...........	...........	PUNCT
ejpam-4168	819	15	...................	...................	PUNCT
ejpam-4168	819	16	..................	..................	PUNCT
ejpam-4168	819	17	..................	..................	PUNCT
ejpam-4168	819	18	..................	..................	PUNCT
ejpam-4168	820	1	..................	..................	PUNCT
ejpam-4168	820	2	..................	..................	PUNCT
ejpam-4168	821	1	..................	..................	PUNCT
ejpam-4168	821	2	..................	..................	PUNCT
ejpam-4168	822	1	..................	..................	PUNCT
ejpam-4168	822	2	..................	..................	PUNCT
ejpam-4168	822	3	.	.	PUNCT
ejpam-4168	823	1	..........................	..........................	PUNCT
ejpam-4168	823	2	.........................	.........................	PUNCT
ejpam-4168	824	1	.........................	.........................	PUNCT
ejpam-4168	824	2	.........................	.........................	PUNCT
ejpam-4168	824	3	.........................	.........................	PUNCT
ejpam-4168	824	4	.........................	.........................	PUNCT
ejpam-4168	824	5	.........................	.........................	PUNCT
ejpam-4168	824	6	.........................	.........................	PUNCT
ejpam-4168	824	7	.........................	.........................	PUNCT
ejpam-4168	824	8	.........................	.........................	PUNCT
ejpam-4168	824	9	...........	...........	PUNCT
ejpam-4168	824	10	..................................	..................................	PUNCT
ejpam-4168	824	11	.................................	.................................	PUNCT
ejpam-4168	824	12	.................................	.................................	PUNCT
ejpam-4168	824	13	.................................	.................................	PUNCT
ejpam-4168	824	14	.................................	.................................	PUNCT
ejpam-4168	824	15	.................................	.................................	PUNCT
ejpam-4168	824	16	.................................	.................................	PUNCT
ejpam-4168	824	17	.................................	.................................	PUNCT
ejpam-4168	824	18	.................................	.................................	PUNCT
ejpam-4168	824	19	.................................	.................................	PUNCT
ejpam-4168	824	20	...............	...............	PUNCT
ejpam-4168	824	21	.........................................	.........................................	PUNCT
ejpam-4168	824	22	........................................	........................................	PUNCT
ejpam-4168	824	23	........................................	........................................	PUNCT
ejpam-4168	824	24	........................................	........................................	PUNCT
ejpam-4168	824	25	........................................	........................................	PUNCT
ejpam-4168	824	26	........................................	........................................	PUNCT
ejpam-4168	824	27	........................................	........................................	PUNCT
ejpam-4168	824	28	........................................	........................................	PUNCT
ejpam-4168	824	29	........................................	........................................	PUNCT
ejpam-4168	825	1	........................................	........................................	PUNCT
ejpam-4168	825	2	......................................................................................................................................................................................................................	......................................................................................................................................................................................................................	PUNCT
ejpam-4168	826	1	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	826	2	............	............	PUNCT
ejpam-4168	826	3	...........	...........	PUNCT
ejpam-4168	827	1	...........	...........	PUNCT
ejpam-4168	827	2	...........	...........	PUNCT
ejpam-4168	827	3	...........	...........	PUNCT
ejpam-4168	827	4	...........	...........	PUNCT
ejpam-4168	827	5	...........	...........	PUNCT
ejpam-4168	827	6	...........	...........	PUNCT
ejpam-4168	827	7	...........	...........	PUNCT
ejpam-4168	827	8	...........	...........	PUNCT
ejpam-4168	827	9	...................	...................	PUNCT
ejpam-4168	827	10	..................	..................	PUNCT
ejpam-4168	828	1	..................	..................	PUNCT
ejpam-4168	828	2	..................	..................	PUNCT
ejpam-4168	829	1	..................	..................	PUNCT
ejpam-4168	829	2	..................	..................	PUNCT
ejpam-4168	830	1	..................	..................	PUNCT
ejpam-4168	830	2	..................	..................	PUNCT
ejpam-4168	831	1	..................	..................	PUNCT
ejpam-4168	831	2	..................	..................	PUNCT
ejpam-4168	831	3	.	.	PUNCT
ejpam-4168	832	1	..........................	..........................	PUNCT
ejpam-4168	832	2	.........................	.........................	PUNCT
ejpam-4168	833	1	.........................	.........................	PUNCT
ejpam-4168	833	2	.........................	.........................	PUNCT
ejpam-4168	833	3	.........................	.........................	PUNCT
ejpam-4168	833	4	.........................	.........................	PUNCT
ejpam-4168	833	5	.........................	.........................	PUNCT
ejpam-4168	833	6	.........................	.........................	PUNCT
ejpam-4168	833	7	.........................	.........................	PUNCT
ejpam-4168	833	8	.........................	.........................	PUNCT
ejpam-4168	833	9	...........	...........	PUNCT
ejpam-4168	833	10	..................................	..................................	PUNCT
ejpam-4168	833	11	.................................	.................................	PUNCT
ejpam-4168	833	12	.................................	.................................	PUNCT
ejpam-4168	833	13	.................................	.................................	PUNCT
ejpam-4168	833	14	.................................	.................................	PUNCT
ejpam-4168	833	15	.................................	.................................	PUNCT
ejpam-4168	833	16	.................................	.................................	PUNCT
ejpam-4168	833	17	.................................	.................................	PUNCT
ejpam-4168	833	18	.................................	.................................	PUNCT
ejpam-4168	833	19	.................................	.................................	PUNCT
ejpam-4168	834	1	.....................................................................................................................................................................................................	.....................................................................................................................................................................................................	PROPN
ejpam-4168	834	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	835	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	835	2	.........	.........	PUNCT
ejpam-4168	836	1	...........	...........	PUNCT
ejpam-4168	836	2	...........	...........	PUNCT
ejpam-4168	836	3	...........	...........	PUNCT
ejpam-4168	836	4	...........	...........	PUNCT
ejpam-4168	836	5	...........	...........	PUNCT
ejpam-4168	836	6	...........	...........	PUNCT
ejpam-4168	836	7	...........	...........	PUNCT
ejpam-4168	836	8	...........	...........	PUNCT
ejpam-4168	836	9	...........	...........	PUNCT
ejpam-4168	836	10	...	...	PUNCT
ejpam-4168	836	11	...................	...................	PUNCT
ejpam-4168	837	1	..................	..................	PUNCT
ejpam-4168	837	2	..................	..................	PUNCT
ejpam-4168	838	1	..................	..................	PUNCT
ejpam-4168	838	2	..................	..................	PUNCT
ejpam-4168	839	1	..................	..................	PUNCT
ejpam-4168	839	2	..................	..................	PUNCT
ejpam-4168	840	1	..................	..................	PUNCT
ejpam-4168	840	2	..................	..................	PUNCT
ejpam-4168	840	3	..................	..................	PUNCT
ejpam-4168	840	4	.	.	PUNCT
ejpam-4168	841	1	..........................	..........................	PUNCT
ejpam-4168	841	2	.........................	.........................	PUNCT
ejpam-4168	842	1	.........................	.........................	PUNCT
ejpam-4168	842	2	.........................	.........................	PUNCT
ejpam-4168	842	3	.........................	.........................	PUNCT
ejpam-4168	842	4	.........................	.........................	PUNCT
ejpam-4168	842	5	.........................	.........................	PUNCT
ejpam-4168	842	6	.........................	.........................	PUNCT
ejpam-4168	842	7	.........................	.........................	PUNCT
ejpam-4168	842	8	.........................	.........................	PUNCT
ejpam-4168	842	9	.....................................................................................................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	843	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	843	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	843	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	843	4	............	............	PUNCT
ejpam-4168	843	5	...........	...........	PUNCT
ejpam-4168	843	6	...........	...........	PUNCT
ejpam-4168	843	7	...........	...........	PUNCT
ejpam-4168	843	8	...........	...........	PUNCT
ejpam-4168	843	9	...........	...........	PUNCT
ejpam-4168	843	10	...........	...........	PUNCT
ejpam-4168	843	11	...........	...........	PUNCT
ejpam-4168	843	12	...........	...........	PUNCT
ejpam-4168	843	13	...........	...........	PUNCT
ejpam-4168	843	14	...................	...................	PUNCT
ejpam-4168	843	15	..................	..................	PUNCT
ejpam-4168	843	16	..................	..................	PUNCT
ejpam-4168	843	17	..................	..................	PUNCT
ejpam-4168	843	18	..................	..................	PUNCT
ejpam-4168	843	19	..................	..................	PUNCT
ejpam-4168	843	20	..................	..................	PUNCT
ejpam-4168	843	21	..................	..................	PUNCT
ejpam-4168	844	1	..................	..................	PUNCT
ejpam-4168	844	2	..................	..................	PUNCT
ejpam-4168	845	1	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	845	2	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	846	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	846	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	846	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	846	4	............	............	PUNCT
ejpam-4168	846	5	...........	...........	PUNCT
ejpam-4168	846	6	...........	...........	PUNCT
ejpam-4168	846	7	...........	...........	PUNCT
ejpam-4168	846	8	...........	...........	PUNCT
ejpam-4168	846	9	...........	...........	PUNCT
ejpam-4168	846	10	...........	...........	PUNCT
ejpam-4168	846	11	...........	...........	PUNCT
ejpam-4168	846	12	...........	...........	PUNCT
ejpam-4168	846	13	...........	...........	PUNCT
ejpam-4168	846	14	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	846	15	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	846	16	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	847	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	847	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	847	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	847	4	............	............	PUNCT
ejpam-4168	847	5	...........	...........	PUNCT
ejpam-4168	847	6	...........	...........	PUNCT
ejpam-4168	847	7	...........	...........	PUNCT
ejpam-4168	847	8	...........	...........	PUNCT
ejpam-4168	847	9	...........	...........	PUNCT
ejpam-4168	847	10	...........	...........	PUNCT
ejpam-4168	847	11	...........	...........	PUNCT
ejpam-4168	847	12	...........	...........	PUNCT
ejpam-4168	847	13	...........	...........	PUNCT
ejpam-4168	847	14	...................	...................	PUNCT
ejpam-4168	847	15	..................	..................	PUNCT
ejpam-4168	847	16	..................	..................	PUNCT
ejpam-4168	847	17	..................	..................	PUNCT
ejpam-4168	848	1	..................	..................	PUNCT
ejpam-4168	848	2	..................	..................	PUNCT
ejpam-4168	849	1	..................	..................	PUNCT
ejpam-4168	849	2	..................	..................	PUNCT
ejpam-4168	850	1	..................	..................	PUNCT
ejpam-4168	850	2	..................	..................	PUNCT
ejpam-4168	850	3	.	.	PUNCT
ejpam-4168	851	1	..........................	..........................	PUNCT
ejpam-4168	851	2	.........................	.........................	PUNCT
ejpam-4168	852	1	.........................	.........................	PUNCT
ejpam-4168	852	2	.........................	.........................	PUNCT
ejpam-4168	852	3	.........................	.........................	PUNCT
ejpam-4168	852	4	.........................	.........................	PUNCT
ejpam-4168	852	5	.........................	.........................	PUNCT
ejpam-4168	852	6	.........................	.........................	PUNCT
ejpam-4168	852	7	.........................	.........................	PUNCT
ejpam-4168	852	8	.........................	.........................	PUNCT
ejpam-4168	852	9	...........	...........	PUNCT
ejpam-4168	852	10	..................................	..................................	PUNCT
ejpam-4168	852	11	.................................	.................................	PUNCT
ejpam-4168	852	12	.................................	.................................	PUNCT
ejpam-4168	852	13	.................................	.................................	PUNCT
ejpam-4168	852	14	.................................	.................................	PUNCT
ejpam-4168	852	15	.................................	.................................	PUNCT
ejpam-4168	852	16	.................................	.................................	PUNCT
ejpam-4168	852	17	.................................	.................................	PUNCT
ejpam-4168	852	18	.................................	.................................	PUNCT
ejpam-4168	852	19	.................................	.................................	PUNCT
ejpam-4168	852	20	...............	...............	PUNCT
ejpam-4168	852	21	.........................................	.........................................	PUNCT
ejpam-4168	852	22	........................................	........................................	PUNCT
ejpam-4168	852	23	........................................	........................................	PUNCT
ejpam-4168	852	24	........................................	........................................	PUNCT
ejpam-4168	852	25	........................................	........................................	PUNCT
ejpam-4168	852	26	........................................	........................................	PUNCT
ejpam-4168	852	27	........................................	........................................	PUNCT
ejpam-4168	852	28	........................................	........................................	PUNCT
ejpam-4168	852	29	........................................	........................................	PUNCT
ejpam-4168	852	30	........................................	........................................	PUNCT
ejpam-4168	852	31	................................	................................	PUNCT
ejpam-4168	852	32	.................................................	.................................................	PUNCT
ejpam-4168	853	1	................................................	................................................	PUNCT
ejpam-4168	853	2	................................................	................................................	PUNCT
ejpam-4168	854	1	................................................	................................................	PUNCT
ejpam-4168	854	2	................................................	................................................	PUNCT
ejpam-4168	855	1	................................................	................................................	PUNCT
ejpam-4168	855	2	................................................	................................................	PUNCT
ejpam-4168	856	1	................................................	................................................	PUNCT
ejpam-4168	856	2	................................................	................................................	PUNCT
ejpam-4168	856	3	................................................	................................................	PUNCT
ejpam-4168	856	4	...............................................................................................................................................	...............................................................................................................................................	PUNCT
ejpam-4168	856	5	............	............	PUNCT
ejpam-4168	856	6	...........	...........	PUNCT
ejpam-4168	856	7	...........	...........	PUNCT
ejpam-4168	856	8	...........	...........	PUNCT
ejpam-4168	856	9	...........	...........	PUNCT
ejpam-4168	856	10	...........	...........	PUNCT
ejpam-4168	856	11	...........	...........	PUNCT
ejpam-4168	856	12	...........	...........	PUNCT
ejpam-4168	856	13	...........	...........	PUNCT
ejpam-4168	856	14	...........	...........	PUNCT
ejpam-4168	856	15	...................	...................	PUNCT
ejpam-4168	856	16	..................	..................	PUNCT
ejpam-4168	856	17	..................	..................	PUNCT
ejpam-4168	856	18	..................	..................	PUNCT
ejpam-4168	857	1	..................	..................	PUNCT
ejpam-4168	857	2	..................	..................	PUNCT
ejpam-4168	858	1	..................	..................	PUNCT
ejpam-4168	858	2	..................	..................	PUNCT
ejpam-4168	859	1	..................	..................	PUNCT
ejpam-4168	859	2	..................	..................	PUNCT
ejpam-4168	859	3	.	.	PUNCT
ejpam-4168	860	1	..........................	..........................	PUNCT
ejpam-4168	860	2	.........................	.........................	PUNCT
ejpam-4168	861	1	.........................	.........................	PUNCT
ejpam-4168	861	2	.........................	.........................	PUNCT
ejpam-4168	861	3	.........................	.........................	PUNCT
ejpam-4168	861	4	.........................	.........................	PUNCT
ejpam-4168	861	5	.........................	.........................	PUNCT
ejpam-4168	861	6	.........................	.........................	PUNCT
ejpam-4168	861	7	.........................	.........................	PUNCT
ejpam-4168	861	8	.........................	.........................	PUNCT
ejpam-4168	861	9	...........	...........	PUNCT
ejpam-4168	861	10	..................................	..................................	PUNCT
ejpam-4168	861	11	.................................	.................................	PUNCT
ejpam-4168	861	12	.................................	.................................	PUNCT
ejpam-4168	861	13	.................................	.................................	PUNCT
ejpam-4168	861	14	.................................	.................................	PUNCT
ejpam-4168	861	15	.................................	.................................	PUNCT
ejpam-4168	861	16	.................................	.................................	PUNCT
ejpam-4168	861	17	.................................	.................................	PUNCT
ejpam-4168	861	18	.................................	.................................	PUNCT
ejpam-4168	861	19	.................................	.................................	PUNCT
ejpam-4168	861	20	...............	...............	PUNCT
ejpam-4168	861	21	.........................................	.........................................	PUNCT
ejpam-4168	861	22	........................................	........................................	PUNCT
ejpam-4168	861	23	........................................	........................................	PUNCT
ejpam-4168	861	24	........................................	........................................	PUNCT
ejpam-4168	861	25	........................................	........................................	PUNCT
ejpam-4168	861	26	........................................	........................................	PUNCT
ejpam-4168	861	27	........................................	........................................	PUNCT
ejpam-4168	861	28	........................................	........................................	PUNCT
ejpam-4168	861	29	........................................	........................................	PUNCT
ejpam-4168	862	1	........................................	........................................	PUNCT
ejpam-4168	862	2	......................................................................................................................................................................................................................	......................................................................................................................................................................................................................	PUNCT
ejpam-4168	863	1	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	863	2	............	............	PUNCT
ejpam-4168	863	3	...........	...........	PUNCT
ejpam-4168	864	1	...........	...........	PUNCT
ejpam-4168	864	2	...........	...........	PUNCT
ejpam-4168	864	3	...........	...........	PUNCT
ejpam-4168	864	4	...........	...........	PUNCT
ejpam-4168	864	5	...........	...........	PUNCT
ejpam-4168	864	6	...........	...........	PUNCT
ejpam-4168	864	7	...........	...........	PUNCT
ejpam-4168	864	8	...........	...........	PUNCT
ejpam-4168	864	9	...................	...................	PUNCT
ejpam-4168	864	10	..................	..................	PUNCT
ejpam-4168	865	1	..................	..................	PUNCT
ejpam-4168	865	2	..................	..................	PUNCT
ejpam-4168	866	1	..................	..................	PUNCT
ejpam-4168	866	2	..................	..................	PUNCT
ejpam-4168	867	1	..................	..................	PUNCT
ejpam-4168	867	2	..................	..................	PUNCT
ejpam-4168	868	1	..................	..................	PUNCT
ejpam-4168	868	2	..................	..................	PUNCT
ejpam-4168	868	3	.	.	PUNCT
ejpam-4168	869	1	..........................	..........................	PUNCT
ejpam-4168	869	2	.........................	.........................	PUNCT
ejpam-4168	870	1	.........................	.........................	PUNCT
ejpam-4168	870	2	.........................	.........................	PUNCT
ejpam-4168	870	3	.........................	.........................	PUNCT
ejpam-4168	870	4	.........................	.........................	PUNCT
ejpam-4168	870	5	.........................	.........................	PUNCT
ejpam-4168	870	6	.........................	.........................	PUNCT
ejpam-4168	870	7	.........................	.........................	PUNCT
ejpam-4168	870	8	.........................	.........................	PUNCT
ejpam-4168	870	9	...........	...........	PUNCT
ejpam-4168	870	10	..................................	..................................	PUNCT
ejpam-4168	870	11	.................................	.................................	PUNCT
ejpam-4168	870	12	.................................	.................................	PUNCT
ejpam-4168	870	13	.................................	.................................	PUNCT
ejpam-4168	870	14	.................................	.................................	PUNCT
ejpam-4168	870	15	.................................	.................................	PUNCT
ejpam-4168	870	16	.................................	.................................	PUNCT
ejpam-4168	870	17	.................................	.................................	PUNCT
ejpam-4168	870	18	.................................	.................................	PUNCT
ejpam-4168	870	19	.................................	.................................	PUNCT
ejpam-4168	871	1	.....................................................................................................................................................................................................	.....................................................................................................................................................................................................	PROPN
ejpam-4168	871	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	872	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	872	2	.........	.........	PUNCT
ejpam-4168	873	1	...........	...........	PUNCT
ejpam-4168	873	2	...........	...........	PUNCT
ejpam-4168	873	3	...........	...........	PUNCT
ejpam-4168	873	4	...........	...........	PUNCT
ejpam-4168	873	5	...........	...........	PUNCT
ejpam-4168	873	6	...........	...........	PUNCT
ejpam-4168	873	7	...........	...........	PUNCT
ejpam-4168	873	8	...........	...........	PUNCT
ejpam-4168	873	9	...........	...........	PUNCT
ejpam-4168	873	10	...	...	PUNCT
ejpam-4168	873	11	...................	...................	PUNCT
ejpam-4168	874	1	..................	..................	PUNCT
ejpam-4168	874	2	..................	..................	PUNCT
ejpam-4168	875	1	..................	..................	PUNCT
ejpam-4168	875	2	..................	..................	PUNCT
ejpam-4168	876	1	..................	..................	PUNCT
ejpam-4168	876	2	..................	..................	PUNCT
ejpam-4168	877	1	..................	..................	PUNCT
ejpam-4168	877	2	..................	..................	PUNCT
ejpam-4168	877	3	..................	..................	PUNCT
ejpam-4168	877	4	.	.	PUNCT
ejpam-4168	878	1	..........................	..........................	PUNCT
ejpam-4168	878	2	.........................	.........................	PUNCT
ejpam-4168	879	1	.........................	.........................	PUNCT
ejpam-4168	879	2	.........................	.........................	PUNCT
ejpam-4168	879	3	.........................	.........................	PUNCT
ejpam-4168	879	4	.........................	.........................	PUNCT
ejpam-4168	879	5	.........................	.........................	PUNCT
ejpam-4168	879	6	.........................	.........................	PUNCT
ejpam-4168	879	7	.........................	.........................	PUNCT
ejpam-4168	879	8	.........................	.........................	PUNCT
ejpam-4168	879	9	.....................................................................................................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	880	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	880	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	880	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	880	4	............	............	PUNCT
ejpam-4168	880	5	...........	...........	PUNCT
ejpam-4168	880	6	...........	...........	PUNCT
ejpam-4168	880	7	...........	...........	PUNCT
ejpam-4168	880	8	...........	...........	PUNCT
ejpam-4168	880	9	...........	...........	PUNCT
ejpam-4168	880	10	...........	...........	PUNCT
ejpam-4168	880	11	...........	...........	PUNCT
ejpam-4168	880	12	...........	...........	PUNCT
ejpam-4168	880	13	...........	...........	PUNCT
ejpam-4168	880	14	...................	...................	PUNCT
ejpam-4168	880	15	..................	..................	PUNCT
ejpam-4168	880	16	..................	..................	PUNCT
ejpam-4168	880	17	..................	..................	PUNCT
ejpam-4168	880	18	..................	..................	PUNCT
ejpam-4168	880	19	..................	..................	PUNCT
ejpam-4168	880	20	..................	..................	PUNCT
ejpam-4168	880	21	..................	..................	PUNCT
ejpam-4168	881	1	..................	..................	PUNCT
ejpam-4168	881	2	..................	..................	PUNCT
ejpam-4168	882	1	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	..................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	882	2	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	883	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	883	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	883	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	883	4	............	............	PUNCT
ejpam-4168	883	5	...........	...........	PUNCT
ejpam-4168	883	6	...........	...........	PUNCT
ejpam-4168	883	7	...........	...........	PUNCT
ejpam-4168	883	8	...........	...........	PUNCT
ejpam-4168	883	9	...........	...........	PUNCT
ejpam-4168	883	10	...........	...........	PUNCT
ejpam-4168	883	11	...........	...........	PUNCT
ejpam-4168	883	12	...........	...........	PUNCT
ejpam-4168	883	13	...........	...........	PUNCT
ejpam-4168	883	14	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	883	15	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	883	16	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	884	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	884	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	884	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	885	1	x	x	X
ejpam-4168	886	1	a	a	DET
ejpam-4168	886	2	b	b	X
ejpam-4168	886	3	c	c	NOUN
ejpam-4168	886	4	d	d	X
ejpam-4168	886	5	p6[p7	p6[p7	PROPN
ejpam-4168	886	6	]	]	X
ejpam-4168	886	7	•	•	NUM
ejpam-4168	886	8	•	•	NUM
ejpam-4168	886	9	•	•	NOUN
ejpam-4168	886	10	•	•	NUM
ejpam-4168	886	11	figure	figure	NOUN
ejpam-4168	886	12	11	11	NUM
ejpam-4168	886	13	:	:	PUNCT
ejpam-4168	886	14	the	the	DET
ejpam-4168	886	15	graph	graph	NOUN
ejpam-4168	886	16	p6[p7	p6[p7	X
ejpam-4168	886	17	]	]	PUNCT
ejpam-4168	886	18	with	with	ADP
ejpam-4168	886	19	s	s	NOUN
ejpam-4168	886	20	=	=	PUNCT
ejpam-4168	886	21	{	{	PUNCT
ejpam-4168	886	22	x	x	NOUN
ejpam-4168	886	23	}	}	PUNCT
ejpam-4168	886	24	an	an	DET
ejpam-4168	886	25	α	α	X
ejpam-4168	886	26	-	-	ADJ
ejpam-4168	886	27	partial	partial	ADJ
ejpam-4168	886	28	dominating	dominating	NOUN
ejpam-4168	886	29	set	set	VERB
ejpam-4168	886	30	in	in	ADP
ejpam-4168	886	31	p6	p6	PROPN
ejpam-4168	886	32	and	and	CCONJ
ejpam-4168	886	33	tx	tx	PROPN
ejpam-4168	886	34	connected	connect	VERB
ejpam-4168	886	35	,	,	PUNCT
ejpam-4168	886	36	where	where	SCONJ
ejpam-4168	886	37	α	α	NOUN
ejpam-4168	886	38	=	=	NOUN
ejpam-4168	886	39	1	1	NUM
ejpam-4168	886	40	2	2	NUM
ejpam-4168	886	41	j.m	j.m	PROPN
ejpam-4168	886	42	.	.	PROPN
ejpam-4168	886	43	cabulao	cabulao	PROPN
ejpam-4168	886	44	,	,	PUNCT
ejpam-4168	886	45	r.	r.	PROPN
ejpam-4168	886	46	isla	isla	PROPN
ejpam-4168	886	47	/	/	SYM
ejpam-4168	886	48	eur	eur	PROPN
ejpam-4168	886	49	.	.	PUNCT
ejpam-4168	887	1	j.	j.	PROPN
ejpam-4168	887	2	pure	pure	PROPN
ejpam-4168	887	3	appl	appl	PROPN
ejpam-4168	887	4	.	.	PROPN
ejpam-4168	887	5	math	math	PROPN
ejpam-4168	887	6	,	,	PUNCT
ejpam-4168	887	7	14	14	NUM
ejpam-4168	887	8	(	(	PUNCT
ejpam-4168	887	9	4	4	NUM
ejpam-4168	887	10	)	)	PUNCT
ejpam-4168	887	11	(	(	PUNCT
ejpam-4168	887	12	2021	2021	NUM
ejpam-4168	887	13	)	)	PUNCT
ejpam-4168	887	14	,	,	PUNCT
ejpam-4168	887	15	1490	1490	NUM
ejpam-4168	887	16	-	-	SYM
ejpam-4168	887	17	1506	1506	NUM
ejpam-4168	887	18	1503	1503	NUM
ejpam-4168	887	19	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	887	20	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	887	21	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	888	1	....................................	....................................	PUNCT
ejpam-4168	888	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	889	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	889	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	890	1	....................................	....................................	PUNCT
ejpam-4168	890	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	891	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	891	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	892	1	....................................	....................................	PUNCT
ejpam-4168	892	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	893	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	893	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	894	1	....................................	....................................	PUNCT
ejpam-4168	894	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	895	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	895	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	896	1	....................................	....................................	PUNCT
ejpam-4168	896	2	.........	.........	PUNCT
ejpam-4168	896	3	........	........	PUNCT
ejpam-4168	896	4	........	........	PUNCT
ejpam-4168	896	5	........	........	PUNCT
ejpam-4168	896	6	........	........	PUNCT
ejpam-4168	896	7	........	........	PUNCT
ejpam-4168	896	8	........	........	PUNCT
ejpam-4168	896	9	........	........	PUNCT
ejpam-4168	896	10	........	........	PUNCT
ejpam-4168	896	11	...	...	PUNCT
ejpam-4168	897	1	....................................	....................................	PUNCT
ejpam-4168	897	2	.........	.........	PUNCT
ejpam-4168	897	3	........	........	PUNCT
ejpam-4168	897	4	........	........	PUNCT
ejpam-4168	897	5	........	........	PUNCT
ejpam-4168	897	6	........	........	PUNCT
ejpam-4168	897	7	........	........	PUNCT
ejpam-4168	897	8	........	........	PUNCT
ejpam-4168	897	9	........	........	PUNCT
ejpam-4168	897	10	........	........	PUNCT
ejpam-4168	897	11	...	...	PUNCT
ejpam-4168	898	1	....................................	....................................	PUNCT
ejpam-4168	898	2	.........	.........	PUNCT
ejpam-4168	898	3	........	........	PUNCT
ejpam-4168	898	4	........	........	PUNCT
ejpam-4168	898	5	........	........	PUNCT
ejpam-4168	898	6	........	........	PUNCT
ejpam-4168	898	7	........	........	PUNCT
ejpam-4168	898	8	........	........	PUNCT
ejpam-4168	898	9	........	........	PUNCT
ejpam-4168	898	10	........	........	PUNCT
ejpam-4168	898	11	...	...	PUNCT
ejpam-4168	899	1	....................................	....................................	PUNCT
ejpam-4168	899	2	.........	.........	PUNCT
ejpam-4168	899	3	........	........	PUNCT
ejpam-4168	899	4	........	........	PUNCT
ejpam-4168	899	5	........	........	PUNCT
ejpam-4168	899	6	........	........	PUNCT
ejpam-4168	899	7	........	........	PUNCT
ejpam-4168	899	8	........	........	PUNCT
ejpam-4168	899	9	........	........	PUNCT
ejpam-4168	899	10	........	........	PUNCT
ejpam-4168	899	11	...	...	PUNCT
ejpam-4168	900	1	....................................	....................................	PUNCT
ejpam-4168	900	2	....................................	....................................	PUNCT
ejpam-4168	900	3	.........	.........	PUNCT
ejpam-4168	900	4	........	........	PUNCT
ejpam-4168	900	5	........	........	PUNCT
ejpam-4168	900	6	........	........	PUNCT
ejpam-4168	900	7	........	........	PUNCT
ejpam-4168	900	8	........	........	PUNCT
ejpam-4168	900	9	........	........	PUNCT
ejpam-4168	900	10	........	........	PUNCT
ejpam-4168	900	11	........	........	PUNCT
ejpam-4168	900	12	...	...	PUNCT
ejpam-4168	901	1	....................................	....................................	PUNCT
ejpam-4168	901	2	.........	.........	PUNCT
ejpam-4168	901	3	........	........	PUNCT
ejpam-4168	901	4	........	........	PUNCT
ejpam-4168	901	5	........	........	PUNCT
ejpam-4168	901	6	........	........	PUNCT
ejpam-4168	901	7	........	........	PUNCT
ejpam-4168	901	8	........	........	PUNCT
ejpam-4168	901	9	........	........	PUNCT
ejpam-4168	901	10	........	........	PUNCT
ejpam-4168	901	11	...	...	PUNCT
ejpam-4168	902	1	....................................	....................................	PUNCT
ejpam-4168	902	2	.........	.........	PUNCT
ejpam-4168	902	3	........	........	PUNCT
ejpam-4168	902	4	........	........	PUNCT
ejpam-4168	902	5	........	........	PUNCT
ejpam-4168	902	6	........	........	PUNCT
ejpam-4168	902	7	........	........	PUNCT
ejpam-4168	902	8	........	........	PUNCT
ejpam-4168	902	9	........	........	PUNCT
ejpam-4168	902	10	........	........	PUNCT
ejpam-4168	902	11	...	...	PUNCT
ejpam-4168	903	1	....................................	....................................	PUNCT
ejpam-4168	903	2	.........	.........	PUNCT
ejpam-4168	903	3	........	........	PUNCT
ejpam-4168	903	4	........	........	PUNCT
ejpam-4168	903	5	........	........	PUNCT
ejpam-4168	903	6	........	........	PUNCT
ejpam-4168	903	7	........	........	PUNCT
ejpam-4168	903	8	........	........	PUNCT
ejpam-4168	903	9	........	........	PUNCT
ejpam-4168	903	10	........	........	PUNCT
ejpam-4168	903	11	...	...	PUNCT
ejpam-4168	904	1	....................................	....................................	PUNCT
ejpam-4168	904	2	....................................	....................................	PUNCT
ejpam-4168	904	3	.........	.........	PUNCT
ejpam-4168	904	4	........	........	PUNCT
ejpam-4168	904	5	........	........	PUNCT
ejpam-4168	904	6	........	........	PUNCT
ejpam-4168	904	7	........	........	PUNCT
ejpam-4168	904	8	........	........	PUNCT
ejpam-4168	904	9	........	........	PUNCT
ejpam-4168	904	10	........	........	PUNCT
ejpam-4168	904	11	........	........	PUNCT
ejpam-4168	904	12	...	...	PUNCT
ejpam-4168	905	1	....................................	....................................	PUNCT
ejpam-4168	905	2	.........	.........	PUNCT
ejpam-4168	905	3	........	........	PUNCT
ejpam-4168	905	4	........	........	PUNCT
ejpam-4168	905	5	........	........	PUNCT
ejpam-4168	905	6	........	........	PUNCT
ejpam-4168	905	7	........	........	PUNCT
ejpam-4168	905	8	........	........	PUNCT
ejpam-4168	905	9	........	........	PUNCT
ejpam-4168	905	10	........	........	PUNCT
ejpam-4168	905	11	...	...	PUNCT
ejpam-4168	906	1	....................................	....................................	PUNCT
ejpam-4168	906	2	.........	.........	PUNCT
ejpam-4168	906	3	........	........	PUNCT
ejpam-4168	906	4	........	........	PUNCT
ejpam-4168	906	5	........	........	PUNCT
ejpam-4168	906	6	........	........	PUNCT
ejpam-4168	906	7	........	........	PUNCT
ejpam-4168	906	8	........	........	PUNCT
ejpam-4168	906	9	........	........	PUNCT
ejpam-4168	906	10	........	........	PUNCT
ejpam-4168	906	11	...	...	PUNCT
ejpam-4168	907	1	....................................	....................................	PUNCT
ejpam-4168	907	2	.........	.........	PUNCT
ejpam-4168	907	3	........	........	PUNCT
ejpam-4168	907	4	........	........	PUNCT
ejpam-4168	907	5	........	........	PUNCT
ejpam-4168	907	6	........	........	PUNCT
ejpam-4168	907	7	........	........	PUNCT
ejpam-4168	907	8	........	........	PUNCT
ejpam-4168	907	9	........	........	PUNCT
ejpam-4168	907	10	........	........	PUNCT
ejpam-4168	907	11	...	...	PUNCT
ejpam-4168	908	1	....................................	....................................	PUNCT
ejpam-4168	908	2	....................................	....................................	PUNCT
ejpam-4168	908	3	.........	.........	PUNCT
ejpam-4168	908	4	........	........	PUNCT
ejpam-4168	908	5	........	........	PUNCT
ejpam-4168	908	6	........	........	PUNCT
ejpam-4168	908	7	........	........	PUNCT
ejpam-4168	908	8	........	........	PUNCT
ejpam-4168	908	9	........	........	PUNCT
ejpam-4168	908	10	........	........	PUNCT
ejpam-4168	908	11	........	........	PUNCT
ejpam-4168	908	12	...	...	PUNCT
ejpam-4168	909	1	....................................	....................................	PUNCT
ejpam-4168	909	2	.........	.........	PUNCT
ejpam-4168	909	3	........	........	PUNCT
ejpam-4168	909	4	........	........	PUNCT
ejpam-4168	909	5	........	........	PUNCT
ejpam-4168	909	6	........	........	PUNCT
ejpam-4168	909	7	........	........	PUNCT
ejpam-4168	909	8	........	........	PUNCT
ejpam-4168	909	9	........	........	PUNCT
ejpam-4168	909	10	........	........	PUNCT
ejpam-4168	909	11	...	...	PUNCT
ejpam-4168	910	1	....................................	....................................	PUNCT
ejpam-4168	910	2	.........	.........	PUNCT
ejpam-4168	910	3	........	........	PUNCT
ejpam-4168	910	4	........	........	PUNCT
ejpam-4168	910	5	........	........	PUNCT
ejpam-4168	910	6	........	........	PUNCT
ejpam-4168	910	7	........	........	PUNCT
ejpam-4168	910	8	........	........	PUNCT
ejpam-4168	910	9	........	........	PUNCT
ejpam-4168	910	10	........	........	PUNCT
ejpam-4168	910	11	...	...	PUNCT
ejpam-4168	911	1	....................................	....................................	PUNCT
ejpam-4168	911	2	.........	.........	PUNCT
ejpam-4168	911	3	........	........	PUNCT
ejpam-4168	911	4	........	........	PUNCT
ejpam-4168	911	5	........	........	PUNCT
ejpam-4168	911	6	........	........	PUNCT
ejpam-4168	911	7	........	........	PUNCT
ejpam-4168	911	8	........	........	PUNCT
ejpam-4168	911	9	........	........	PUNCT
ejpam-4168	911	10	........	........	PUNCT
ejpam-4168	911	11	...	...	PUNCT
ejpam-4168	912	1	....................................	....................................	PUNCT
ejpam-4168	912	2	....................................	....................................	PUNCT
ejpam-4168	913	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	913	2	............	............	PUNCT
ejpam-4168	913	3	...........	...........	PUNCT
ejpam-4168	913	4	...........	...........	PUNCT
ejpam-4168	913	5	...........	...........	PUNCT
ejpam-4168	913	6	...........	...........	PUNCT
ejpam-4168	913	7	...........	...........	PUNCT
ejpam-4168	913	8	...........	...........	PUNCT
ejpam-4168	913	9	...........	...........	PUNCT
ejpam-4168	913	10	...........	...........	PUNCT
ejpam-4168	913	11	...........	...........	PUNCT
ejpam-4168	913	12	...................	...................	PUNCT
ejpam-4168	913	13	..................	..................	PUNCT
ejpam-4168	913	14	..................	..................	PUNCT
ejpam-4168	913	15	..................	..................	PUNCT
ejpam-4168	914	1	..................	..................	PUNCT
ejpam-4168	914	2	..................	..................	PUNCT
ejpam-4168	915	1	..................	..................	PUNCT
ejpam-4168	915	2	..................	..................	PUNCT
ejpam-4168	916	1	..................	..................	PUNCT
ejpam-4168	916	2	..................	..................	PUNCT
ejpam-4168	916	3	.	.	PUNCT
ejpam-4168	917	1	..........................	..........................	PUNCT
ejpam-4168	917	2	.........................	.........................	PUNCT
ejpam-4168	918	1	.........................	.........................	PUNCT
ejpam-4168	918	2	.........................	.........................	PUNCT
ejpam-4168	918	3	.........................	.........................	PUNCT
ejpam-4168	918	4	.........................	.........................	PUNCT
ejpam-4168	918	5	.........................	.........................	PUNCT
ejpam-4168	918	6	.........................	.........................	PUNCT
ejpam-4168	918	7	.........................	.........................	PUNCT
ejpam-4168	918	8	.........................	.........................	PUNCT
ejpam-4168	919	1	..........................................................................................................................	..........................................................................................................................	X
ejpam-4168	919	2	............	............	PUNCT
ejpam-4168	919	3	...........	...........	PUNCT
ejpam-4168	919	4	...........	...........	PUNCT
ejpam-4168	919	5	...........	...........	PUNCT
ejpam-4168	919	6	...........	...........	PUNCT
ejpam-4168	919	7	...........	...........	PUNCT
ejpam-4168	919	8	...........	...........	PUNCT
ejpam-4168	919	9	...........	...........	PUNCT
ejpam-4168	919	10	...........	...........	PUNCT
ejpam-4168	919	11	...........	...........	PUNCT
ejpam-4168	919	12	...................	...................	PUNCT
ejpam-4168	919	13	..................	..................	PUNCT
ejpam-4168	919	14	..................	..................	PUNCT
ejpam-4168	919	15	..................	..................	PUNCT
ejpam-4168	919	16	..................	..................	PUNCT
ejpam-4168	919	17	..................	..................	PUNCT
ejpam-4168	919	18	..................	..................	PUNCT
ejpam-4168	919	19	..................	..................	PUNCT
ejpam-4168	919	20	..................	..................	PUNCT
ejpam-4168	919	21	..................	..................	PUNCT
ejpam-4168	920	1	.......................................................................................................................................................................................	.......................................................................................................................................................................................	PUNCT
ejpam-4168	920	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	920	3	............	............	PUNCT
ejpam-4168	920	4	...........	...........	PUNCT
ejpam-4168	920	5	...........	...........	PUNCT
ejpam-4168	920	6	...........	...........	PUNCT
ejpam-4168	920	7	...........	...........	PUNCT
ejpam-4168	920	8	...........	...........	PUNCT
ejpam-4168	920	9	...........	...........	PUNCT
ejpam-4168	920	10	...........	...........	PUNCT
ejpam-4168	920	11	...........	...........	PUNCT
ejpam-4168	920	12	...........	...........	PUNCT
ejpam-4168	921	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	921	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	921	3	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	921	4	............	............	PUNCT
ejpam-4168	921	5	...........	...........	PUNCT
ejpam-4168	921	6	...........	...........	PUNCT
ejpam-4168	921	7	...........	...........	PUNCT
ejpam-4168	921	8	...........	...........	PUNCT
ejpam-4168	921	9	...........	...........	PUNCT
ejpam-4168	921	10	...........	...........	PUNCT
ejpam-4168	921	11	...........	...........	PUNCT
ejpam-4168	921	12	...........	...........	PUNCT
ejpam-4168	921	13	...........	...........	PUNCT
ejpam-4168	921	14	...................	...................	PUNCT
ejpam-4168	921	15	..................	..................	PUNCT
ejpam-4168	921	16	..................	..................	PUNCT
ejpam-4168	921	17	..................	..................	PUNCT
ejpam-4168	921	18	..................	..................	PUNCT
ejpam-4168	921	19	..................	..................	PUNCT
ejpam-4168	921	20	..................	..................	PUNCT
ejpam-4168	921	21	..................	..................	PUNCT
ejpam-4168	921	22	..................	..................	PUNCT
ejpam-4168	921	23	..................	..................	PUNCT
ejpam-4168	921	24	.	.	PUNCT
ejpam-4168	922	1	..........................	..........................	PUNCT
ejpam-4168	922	2	.........................	.........................	PUNCT
ejpam-4168	923	1	.........................	.........................	PUNCT
ejpam-4168	923	2	.........................	.........................	PUNCT
ejpam-4168	923	3	.........................	.........................	PUNCT
ejpam-4168	923	4	.........................	.........................	PUNCT
ejpam-4168	923	5	.........................	.........................	PUNCT
ejpam-4168	923	6	.........................	.........................	PUNCT
ejpam-4168	923	7	.........................	.........................	PUNCT
ejpam-4168	923	8	.........................	.........................	PUNCT
ejpam-4168	924	1	..........................................................................................................................	..........................................................................................................................	X
ejpam-4168	924	2	............	............	PUNCT
ejpam-4168	924	3	...........	...........	PUNCT
ejpam-4168	924	4	...........	...........	PUNCT
ejpam-4168	924	5	...........	...........	PUNCT
ejpam-4168	924	6	...........	...........	PUNCT
ejpam-4168	924	7	...........	...........	PUNCT
ejpam-4168	924	8	...........	...........	PUNCT
ejpam-4168	924	9	...........	...........	PUNCT
ejpam-4168	924	10	...........	...........	PUNCT
ejpam-4168	924	11	...........	...........	PUNCT
ejpam-4168	924	12	...................	...................	PUNCT
ejpam-4168	924	13	..................	..................	PUNCT
ejpam-4168	924	14	..................	..................	PUNCT
ejpam-4168	924	15	..................	..................	PUNCT
ejpam-4168	924	16	..................	..................	PUNCT
ejpam-4168	924	17	..................	..................	PUNCT
ejpam-4168	924	18	..................	..................	PUNCT
ejpam-4168	924	19	..................	..................	PUNCT
ejpam-4168	924	20	..................	..................	PUNCT
ejpam-4168	924	21	..................	..................	PUNCT
ejpam-4168	925	1	.......................................................................................................................................................................................	.......................................................................................................................................................................................	PUNCT
ejpam-4168	925	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	925	3	............	............	PUNCT
ejpam-4168	925	4	...........	...........	PUNCT
ejpam-4168	925	5	...........	...........	PUNCT
ejpam-4168	925	6	...........	...........	PUNCT
ejpam-4168	925	7	...........	...........	PUNCT
ejpam-4168	925	8	...........	...........	PUNCT
ejpam-4168	925	9	...........	...........	PUNCT
ejpam-4168	925	10	...........	...........	PUNCT
ejpam-4168	925	11	...........	...........	PUNCT
ejpam-4168	925	12	...........	...........	PUNCT
ejpam-4168	925	13	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	925	14	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	925	15	.........	.........	PUNCT
ejpam-4168	925	16	........	........	PUNCT
ejpam-4168	925	17	........	........	PUNCT
ejpam-4168	925	18	........	........	PUNCT
ejpam-4168	925	19	........	........	PUNCT
ejpam-4168	925	20	........	........	PUNCT
ejpam-4168	925	21	........	........	PUNCT
ejpam-4168	925	22	........	........	PUNCT
ejpam-4168	925	23	........	........	PUNCT
ejpam-4168	925	24	...	...	PUNCT
ejpam-4168	925	25	............	............	PUNCT
ejpam-4168	925	26	...........	...........	PUNCT
ejpam-4168	925	27	...........	...........	PUNCT
ejpam-4168	925	28	...........	...........	PUNCT
ejpam-4168	925	29	...........	...........	PUNCT
ejpam-4168	925	30	...........	...........	PUNCT
ejpam-4168	925	31	...........	...........	PUNCT
ejpam-4168	925	32	...........	...........	PUNCT
ejpam-4168	925	33	...........	...........	PUNCT
ejpam-4168	925	34	...........	...........	PUNCT
ejpam-4168	925	35	...................	...................	PUNCT
ejpam-4168	925	36	..................	..................	PUNCT
ejpam-4168	925	37	..................	..................	PUNCT
ejpam-4168	925	38	..................	..................	PUNCT
ejpam-4168	925	39	..................	..................	PUNCT
ejpam-4168	925	40	..................	..................	PUNCT
ejpam-4168	925	41	..................	..................	PUNCT
ejpam-4168	925	42	..................	..................	PUNCT
ejpam-4168	925	43	..................	..................	PUNCT
ejpam-4168	925	44	..................	..................	PUNCT
ejpam-4168	925	45	.	.	PUNCT
ejpam-4168	926	1	..........................	..........................	PUNCT
ejpam-4168	926	2	.........................	.........................	PUNCT
ejpam-4168	927	1	.........................	.........................	PUNCT
ejpam-4168	927	2	.........................	.........................	PUNCT
ejpam-4168	927	3	.........................	.........................	PUNCT
ejpam-4168	927	4	.........................	.........................	PUNCT
ejpam-4168	927	5	.........................	.........................	PUNCT
ejpam-4168	927	6	.........................	.........................	PUNCT
ejpam-4168	927	7	.........................	.........................	PUNCT
ejpam-4168	927	8	.........................	.........................	PUNCT
ejpam-4168	928	1	..........................................................................................................................	..........................................................................................................................	X
ejpam-4168	928	2	............	............	PUNCT
ejpam-4168	928	3	...........	...........	PUNCT
ejpam-4168	928	4	...........	...........	PUNCT
ejpam-4168	928	5	...........	...........	PUNCT
ejpam-4168	928	6	...........	...........	PUNCT
ejpam-4168	928	7	...........	...........	PUNCT
ejpam-4168	928	8	...........	...........	PUNCT
ejpam-4168	928	9	...........	...........	PUNCT
ejpam-4168	928	10	...........	...........	PUNCT
ejpam-4168	928	11	...........	...........	PUNCT
ejpam-4168	928	12	...................	...................	PUNCT
ejpam-4168	928	13	..................	..................	PUNCT
ejpam-4168	928	14	..................	..................	PUNCT
ejpam-4168	928	15	..................	..................	PUNCT
ejpam-4168	928	16	..................	..................	PUNCT
ejpam-4168	928	17	..................	..................	PUNCT
ejpam-4168	928	18	..................	..................	PUNCT
ejpam-4168	928	19	..................	..................	PUNCT
ejpam-4168	928	20	..................	..................	PUNCT
ejpam-4168	928	21	..................	..................	PUNCT
ejpam-4168	929	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4168	929	2	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	929	3	...........	...........	PUNCT
ejpam-4168	929	4	...........	...........	PUNCT
ejpam-4168	929	5	...........	...........	PUNCT
ejpam-4168	929	6	...........	...........	PUNCT
ejpam-4168	929	7	...........	...........	PUNCT
ejpam-4168	929	8	...........	...........	PUNCT
ejpam-4168	929	9	...........	...........	PUNCT
ejpam-4168	929	10	...........	...........	PUNCT
ejpam-4168	929	11	...........	...........	PUNCT
ejpam-4168	929	12	...........	...........	PUNCT
ejpam-4168	930	1	.......................................................................................................................................................................................	.......................................................................................................................................................................................	PUNCT
ejpam-4168	930	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	931	1	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	931	2	............	............	PUNCT
ejpam-4168	931	3	...........	...........	PUNCT
ejpam-4168	931	4	...........	...........	PUNCT
ejpam-4168	931	5	...........	...........	PUNCT
ejpam-4168	931	6	...........	...........	PUNCT
ejpam-4168	931	7	...........	...........	PUNCT
ejpam-4168	931	8	...........	...........	PUNCT
ejpam-4168	931	9	...........	...........	PUNCT
ejpam-4168	931	10	...........	...........	PUNCT
ejpam-4168	931	11	...........	...........	PUNCT
ejpam-4168	931	12	...................	...................	PUNCT
ejpam-4168	931	13	..................	..................	PUNCT
ejpam-4168	932	1	..................	..................	PUNCT
ejpam-4168	932	2	..................	..................	PUNCT
ejpam-4168	933	1	..................	..................	PUNCT
ejpam-4168	933	2	..................	..................	PUNCT
ejpam-4168	934	1	..................	..................	PUNCT
ejpam-4168	934	2	..................	..................	PUNCT
ejpam-4168	935	1	..................	..................	PUNCT
ejpam-4168	935	2	..................	..................	PUNCT
ejpam-4168	935	3	.	.	PUNCT
ejpam-4168	936	1	..........................	..........................	PUNCT
ejpam-4168	936	2	.........................	.........................	PUNCT
ejpam-4168	937	1	.........................	.........................	PUNCT
ejpam-4168	937	2	.........................	.........................	PUNCT
ejpam-4168	937	3	.........................	.........................	PUNCT
ejpam-4168	937	4	.........................	.........................	PUNCT
ejpam-4168	937	5	.........................	.........................	PUNCT
ejpam-4168	937	6	.........................	.........................	PUNCT
ejpam-4168	937	7	.........................	.........................	PUNCT
ejpam-4168	937	8	.........................	.........................	PUNCT
ejpam-4168	938	1	..........................................................................................................................	..........................................................................................................................	X
ejpam-4168	938	2	............	............	PUNCT
ejpam-4168	938	3	...........	...........	PUNCT
ejpam-4168	938	4	...........	...........	PUNCT
ejpam-4168	938	5	...........	...........	PUNCT
ejpam-4168	938	6	...........	...........	PUNCT
ejpam-4168	938	7	...........	...........	PUNCT
ejpam-4168	938	8	...........	...........	PUNCT
ejpam-4168	938	9	...........	...........	PUNCT
ejpam-4168	938	10	...........	...........	PUNCT
ejpam-4168	938	11	...........	...........	PUNCT
ejpam-4168	938	12	...................	...................	PUNCT
ejpam-4168	938	13	..................	..................	PUNCT
ejpam-4168	938	14	..................	..................	PUNCT
ejpam-4168	938	15	..................	..................	PUNCT
ejpam-4168	938	16	..................	..................	PUNCT
ejpam-4168	938	17	..................	..................	PUNCT
ejpam-4168	938	18	..................	..................	PUNCT
ejpam-4168	938	19	..................	..................	PUNCT
ejpam-4168	938	20	..................	..................	PUNCT
ejpam-4168	938	21	..................	..................	PUNCT
ejpam-4168	939	1	.......................................................................................................................................................................................	.......................................................................................................................................................................................	PUNCT
ejpam-4168	939	2	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	939	3	............	............	PUNCT
ejpam-4168	939	4	...........	...........	PUNCT
ejpam-4168	939	5	...........	...........	PUNCT
ejpam-4168	939	6	...........	...........	PUNCT
ejpam-4168	939	7	...........	...........	PUNCT
ejpam-4168	939	8	...........	...........	PUNCT
ejpam-4168	939	9	...........	...........	PUNCT
ejpam-4168	939	10	...........	...........	PUNCT
ejpam-4168	939	11	...........	...........	PUNCT
ejpam-4168	939	12	...........	...........	PUNCT
ejpam-4168	939	13	......................................................................................................................................................................................	......................................................................................................................................................................................	PUNCT
ejpam-4168	939	14	...............................................................................................................	...............................................................................................................	PUNCT
ejpam-4168	939	15	......................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................	PUNCT
ejpam-4168	940	1	x	x	SYM
ejpam-4168	940	2	u	u	NOUN
ejpam-4168	940	3	•	•	NOUN
ejpam-4168	940	4	figure	figure	NOUN
ejpam-4168	940	5	12	12	NUM
ejpam-4168	940	6	:	:	PUNCT
ejpam-4168	940	7	the	the	DET
ejpam-4168	940	8	graph	graph	NOUN
ejpam-4168	940	9	p5[p4	p5[p4	NOUN
ejpam-4168	940	10	]	]	PUNCT
ejpam-4168	940	11	with	with	ADP
ejpam-4168	940	12	α	α	VERB
ejpam-4168	940	13	-	-	ADJ
ejpam-4168	940	14	partial	partial	ADJ
ejpam-4168	940	15	dominating	dominating	NOUN
ejpam-4168	940	16	set	set	NOUN
ejpam-4168	940	17	{	{	PUNCT
ejpam-4168	940	18	(	(	PUNCT
ejpam-4168	940	19	x	x	NOUN
ejpam-4168	940	20	,	,	PUNCT
ejpam-4168	940	21	u	u	NOUN
ejpam-4168	940	22	)	)	PUNCT
ejpam-4168	940	23	}	}	PUNCT
ejpam-4168	940	24	,	,	PUNCT
ejpam-4168	940	25	where	where	SCONJ
ejpam-4168	940	26	α	α	NOUN
ejpam-4168	940	27	=	=	NOUN
ejpam-4168	940	28	1	1	NUM
ejpam-4168	940	29	2	2	NUM
ejpam-4168	940	30	corollary	corollary	NOUN
ejpam-4168	940	31	5	5	NUM
ejpam-4168	940	32	.	.	PUNCT
ejpam-4168	941	1	let	let	VERB
ejpam-4168	941	2	g	g	NOUN
ejpam-4168	941	3	and	and	CCONJ
ejpam-4168	941	4	h	h	NOUN
ejpam-4168	941	5	be	be	AUX
ejpam-4168	941	6	nontrivial	nontrivial	ADJ
ejpam-4168	941	7	connected	connect	VERB
ejpam-4168	941	8	graphs	graph	NOUN
ejpam-4168	941	9	and	and	CCONJ
ejpam-4168	941	10	let	let	VERB
ejpam-4168	941	11	α	α	PRON
ejpam-4168	941	12	∈	∈	PROPN
ejpam-4168	941	13	(	(	PUNCT
ejpam-4168	941	14	0	0	NUM
ejpam-4168	941	15	,	,	PUNCT
ejpam-4168	941	16	1	1	NUM
ejpam-4168	941	17	]	]	PUNCT
ejpam-4168	941	18	.	.	PUNCT
ejpam-4168	942	1	if	if	SCONJ
ejpam-4168	942	2	∂α(g	∂α(g	PROPN
ejpam-4168	942	3	)	)	PUNCT
ejpam-4168	942	4	=	=	SYM
ejpam-4168	942	5	1	1	NUM
ejpam-4168	942	6	,	,	PUNCT
ejpam-4168	942	7	then	then	ADV
ejpam-4168	942	8	1	1	NUM
ejpam-4168	942	9	≤	≤	NUM
ejpam-4168	942	10	∂cα(g[h	∂cα(g[h	NOUN
ejpam-4168	942	11	]	]	NOUN
ejpam-4168	942	12	)	)	PUNCT
ejpam-4168	942	13	≤	≤	NUM
ejpam-4168	942	14	2	2	NUM
ejpam-4168	942	15	.	.	PUNCT
ejpam-4168	943	1	if	if	SCONJ
ejpam-4168	943	2	∂cα(g	∂cα(g	PROPN
ejpam-4168	943	3	)	)	PUNCT
ejpam-4168	943	4	≥	≥	NOUN
ejpam-4168	943	5	2	2	NUM
ejpam-4168	943	6	,	,	PUNCT
ejpam-4168	943	7	then	then	ADV
ejpam-4168	943	8	∂cα(g[h	∂cα(g[h	NOUN
ejpam-4168	943	9	]	]	NOUN
ejpam-4168	943	10	)	)	PUNCT
ejpam-4168	943	11	=	=	SYM
ejpam-4168	943	12	∂cα(g	∂cα(g	NOUN
ejpam-4168	943	13	)	)	PUNCT
ejpam-4168	943	14	.	.	PUNCT
ejpam-4168	944	1	proof	proof	NOUN
ejpam-4168	944	2	:	:	PUNCT
ejpam-4168	944	3	suppose	suppose	VERB
ejpam-4168	944	4	that	that	SCONJ
ejpam-4168	944	5	∂α(g	∂α(g	PROPN
ejpam-4168	944	6	)	)	PUNCT
ejpam-4168	944	7	=	=	SYM
ejpam-4168	944	8	1	1	NUM
ejpam-4168	944	9	,	,	PUNCT
ejpam-4168	944	10	say	say	VERB
ejpam-4168	944	11	s	s	X
ejpam-4168	944	12	=	=	PUNCT
ejpam-4168	944	13	{	{	PUNCT
ejpam-4168	944	14	x	x	NOUN
ejpam-4168	944	15	}	}	PUNCT
ejpam-4168	944	16	is	be	AUX
ejpam-4168	944	17	an	an	DET
ejpam-4168	944	18	α	α	NOUN
ejpam-4168	944	19	-	-	ADJ
ejpam-4168	944	20	partial	partial	ADJ
ejpam-4168	944	21	dominating	dominating	NOUN
ejpam-4168	944	22	set	set	VERB
ejpam-4168	944	23	in	in	ADP
ejpam-4168	944	24	g.	g.	PROPN
ejpam-4168	944	25	pick	pick	PROPN
ejpam-4168	944	26	(	(	PUNCT
ejpam-4168	944	27	x	x	NOUN
ejpam-4168	944	28	,	,	PUNCT
ejpam-4168	944	29	u	u	NOUN
ejpam-4168	944	30	)	)	PUNCT
ejpam-4168	944	31	,	,	PUNCT
ejpam-4168	944	32	(	(	PUNCT
ejpam-4168	944	33	y	y	NOUN
ejpam-4168	944	34	,	,	PUNCT
ejpam-4168	944	35	v	v	NOUN
ejpam-4168	944	36	)	)	PUNCT
ejpam-4168	944	37	∈	∈	NOUN
ejpam-4168	944	38	v	v	NOUN
ejpam-4168	944	39	(	(	PUNCT
ejpam-4168	944	40	g[h	g[h	PROPN
ejpam-4168	944	41	]	]	PUNCT
ejpam-4168	944	42	)	)	PUNCT
ejpam-4168	944	43	such	such	ADJ
ejpam-4168	944	44	that	that	SCONJ
ejpam-4168	944	45	x	x	X
ejpam-4168	944	46	̸=	̸=	PROPN
ejpam-4168	944	47	y	y	PROPN
ejpam-4168	944	48	and	and	CCONJ
ejpam-4168	944	49	xy	xy	PROPN
ejpam-4168	944	50	∈	∈	PROPN
ejpam-4168	944	51	e(g	e(g	PROPN
ejpam-4168	944	52	)	)	PUNCT
ejpam-4168	944	53	.	.	PUNCT
ejpam-4168	945	1	let	let	VERB
ejpam-4168	945	2	c	c	NOUN
ejpam-4168	945	3	=	=	PRON
ejpam-4168	945	4	{	{	PUNCT
ejpam-4168	945	5	(	(	PUNCT
ejpam-4168	945	6	x	x	NOUN
ejpam-4168	945	7	,	,	PUNCT
ejpam-4168	945	8	u	u	NOUN
ejpam-4168	945	9	)	)	PUNCT
ejpam-4168	945	10	,	,	PUNCT
ejpam-4168	945	11	(	(	PUNCT
ejpam-4168	945	12	y	y	NOUN
ejpam-4168	945	13	,	,	PUNCT
ejpam-4168	945	14	v	v	NOUN
ejpam-4168	945	15	)	)	PUNCT
ejpam-4168	945	16	}	}	PUNCT
ejpam-4168	945	17	.	.	PUNCT
ejpam-4168	946	1	then	then	ADV
ejpam-4168	946	2	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	946	3	is	be	AUX
ejpam-4168	946	4	connected	connect	VERB
ejpam-4168	946	5	and	and	CCONJ
ejpam-4168	946	6	|ng[h][c]|	|ng[h][c]|	NOUN
ejpam-4168	946	7	=	=	SYM
ejpam-4168	946	8	|ng[h][(x	|ng[h][(x	PROPN
ejpam-4168	946	9	,	,	PUNCT
ejpam-4168	946	10	u	u	NOUN
ejpam-4168	946	11	)	)	PUNCT
ejpam-4168	946	12	]	]	PUNCT
ejpam-4168	947	1	∪ng[h][(y	∪ng[h][(y	PUNCT
ejpam-4168	947	2	,	,	PUNCT
ejpam-4168	947	3	v)]|	v)]|	ADJ
ejpam-4168	947	4	=	=	SYM
ejpam-4168	947	5	|ng(x)|	|ng(x)|	NOUN
ejpam-4168	947	6	·	·	PUNCT
ejpam-4168	947	7	n+	n+	PROPN
ejpam-4168	947	8	|ng(y)|	|ng(y)|	PROPN
ejpam-4168	947	9	·	·	PUNCT
ejpam-4168	947	10	n	n	PRON
ejpam-4168	947	11	≥	≥	NOUN
ejpam-4168	947	12	|ng[x]|	|ng[x]|	PROPN
ejpam-4168	947	13	·	·	PUNCT
ejpam-4168	947	14	n	n	CCONJ
ejpam-4168	947	15	(	(	PUNCT
ejpam-4168	947	16	since	since	SCONJ
ejpam-4168	947	17	x	x	PROPN
ejpam-4168	947	18	∈	∈	PROPN
ejpam-4168	947	19	ng(y	ng(y	NOUN
ejpam-4168	947	20	)	)	PUNCT
ejpam-4168	947	21	)	)	PUNCT
ejpam-4168	948	1	=	=	PUNCT
ejpam-4168	948	2	|ng[s]|	|ng[s]|	X
ejpam-4168	948	3	·	·	PUNCT
ejpam-4168	948	4	n	n	CCONJ
ejpam-4168	948	5	≥	≥	NOUN
ejpam-4168	948	6	αmn	αmn	NOUN
ejpam-4168	948	7	,	,	PUNCT
ejpam-4168	948	8	hence	hence	ADV
ejpam-4168	948	9	c	c	PROPN
ejpam-4168	948	10	is	be	AUX
ejpam-4168	948	11	a	a	DET
ejpam-4168	948	12	connected	connected	ADJ
ejpam-4168	948	13	α	α	NOUN
ejpam-4168	948	14	-	-	ADJ
ejpam-4168	948	15	partial	partial	ADJ
ejpam-4168	948	16	dominating	dominating	NOUN
ejpam-4168	948	17	set	set	VERB
ejpam-4168	948	18	in	in	ADP
ejpam-4168	948	19	g[h	g[h	PROPN
ejpam-4168	948	20	]	]	PUNCT
ejpam-4168	948	21	.	.	PUNCT
ejpam-4168	949	1	thus	thus	ADV
ejpam-4168	949	2	,	,	PUNCT
ejpam-4168	949	3	∂cα(g[h	∂cα(g[h	NOUN
ejpam-4168	949	4	]	]	NOUN
ejpam-4168	949	5	)	)	PUNCT
ejpam-4168	949	6	≤	≤	NOUN
ejpam-4168	949	7	|c|	|c|	PROPN
ejpam-4168	949	8	=	=	SYM
ejpam-4168	949	9	2	2	X
ejpam-4168	949	10	.	.	PUNCT
ejpam-4168	949	11	moreover	moreover	ADV
ejpam-4168	949	12	,	,	PUNCT
ejpam-4168	949	13	∂cα(g[h	∂cα(g[h	NOUN
ejpam-4168	949	14	]	]	X
ejpam-4168	949	15	)	)	PUNCT
ejpam-4168	949	16	≥	≥	NOUN
ejpam-4168	949	17	1	1	NUM
ejpam-4168	949	18	by	by	ADP
ejpam-4168	949	19	remark	remark	NOUN
ejpam-4168	949	20	5	5	NUM
ejpam-4168	949	21	.	.	PUNCT
ejpam-4168	949	22	suppose	suppose	VERB
ejpam-4168	949	23	that	that	SCONJ
ejpam-4168	949	24	∂cα(g	∂cα(g	PROPN
ejpam-4168	949	25	)	)	PUNCT
ejpam-4168	949	26	≥	≥	NOUN
ejpam-4168	949	27	2	2	NUM
ejpam-4168	949	28	.	.	PUNCT
ejpam-4168	949	29	let	let	VERB
ejpam-4168	949	30	c	c	NOUN
ejpam-4168	949	31	=	=	PUNCT
ejpam-4168	950	1	⋃	⋃	PROPN
ejpam-4168	950	2	x∈s	x∈s	NOUN
ejpam-4168	950	3	(	(	PUNCT
ejpam-4168	950	4	{	{	PUNCT
ejpam-4168	950	5	x	x	NOUN
ejpam-4168	950	6	}	}	PUNCT
ejpam-4168	950	7	×	×	PROPN
ejpam-4168	950	8	tx	tx	PROPN
ejpam-4168	950	9	)	)	PUNCT
ejpam-4168	950	10	⊆	⊆	NUM
ejpam-4168	950	11	v	v	NOUN
ejpam-4168	950	12	(	(	PUNCT
ejpam-4168	950	13	g[h	g[h	PROPN
ejpam-4168	950	14	]	]	PUNCT
ejpam-4168	950	15	)	)	PUNCT
ejpam-4168	950	16	.	.	PUNCT
ejpam-4168	951	1	then	then	ADV
ejpam-4168	951	2	|s|	|s|	NOUN
ejpam-4168	951	3	≥	≥	PROPN
ejpam-4168	951	4	2	2	NUM
ejpam-4168	951	5	,	,	PUNCT
ejpam-4168	951	6	where	where	SCONJ
ejpam-4168	951	7	s	s	NOUN
ejpam-4168	951	8	is	be	AUX
ejpam-4168	951	9	a	a	DET
ejpam-4168	951	10	connected	connected	ADJ
ejpam-4168	951	11	α	α	NOUN
ejpam-4168	951	12	-	-	ADJ
ejpam-4168	951	13	partial	partial	ADJ
ejpam-4168	951	14	dominating	dominating	NOUN
ejpam-4168	951	15	set	set	VERB
ejpam-4168	951	16	in	in	ADP
ejpam-4168	951	17	g.	g.	PROPN
ejpam-4168	951	18	it	it	PRON
ejpam-4168	951	19	immediately	immediately	ADV
ejpam-4168	951	20	follows	follow	VERB
ejpam-4168	951	21	from	from	ADP
ejpam-4168	951	22	theorem	theorem	ADJ
ejpam-4168	951	23	6(ii	6(ii	NOUN
ejpam-4168	951	24	)	)	PUNCT
ejpam-4168	951	25	that	that	SCONJ
ejpam-4168	951	26	∂cα(g[h	∂cα(g[h	NOUN
ejpam-4168	951	27	]	]	X
ejpam-4168	951	28	)	)	PUNCT
ejpam-4168	951	29	=	=	SYM
ejpam-4168	951	30	∂cα(g	∂cα(g	NOUN
ejpam-4168	951	31	)	)	PUNCT
ejpam-4168	951	32	.	.	PUNCT
ejpam-4168	952	1	remark	remark	PROPN
ejpam-4168	952	2	11	11	NUM
ejpam-4168	952	3	.	.	PUNCT
ejpam-4168	953	1	the	the	DET
ejpam-4168	953	2	bounds	bound	NOUN
ejpam-4168	953	3	given	give	VERB
ejpam-4168	953	4	in	in	ADP
ejpam-4168	953	5	corollary	corollary	ADJ
ejpam-4168	953	6	5	5	NUM
ejpam-4168	953	7	for	for	ADP
ejpam-4168	953	8	∂cα(g[h	∂cα(g[h	NOUN
ejpam-4168	953	9	]	]	NOUN
ejpam-4168	953	10	)	)	PUNCT
ejpam-4168	953	11	when	when	SCONJ
ejpam-4168	953	12	∂α(g	∂α(g	X
ejpam-4168	953	13	)	)	PUNCT
ejpam-4168	953	14	=	=	SYM
ejpam-4168	953	15	1	1	NUM
ejpam-4168	953	16	are	be	AUX
ejpam-4168	953	17	sharp	sharp	ADJ
ejpam-4168	953	18	.	.	PUNCT
ejpam-4168	954	1	to	to	PART
ejpam-4168	954	2	see	see	VERB
ejpam-4168	954	3	this	this	PRON
ejpam-4168	954	4	,	,	PUNCT
ejpam-4168	954	5	consider	consider	VERB
ejpam-4168	954	6	the	the	DET
ejpam-4168	954	7	graphs	graph	NOUN
ejpam-4168	954	8	p6[p7	p6[p7	X
ejpam-4168	954	9	]	]	PUNCT
ejpam-4168	954	10	and	and	CCONJ
ejpam-4168	954	11	p5[p4	p5[p4	NOUN
ejpam-4168	954	12	]	]	PUNCT
ejpam-4168	954	13	in	in	ADP
ejpam-4168	954	14	figure	figure	NOUN
ejpam-4168	954	15	11	11	NUM
ejpam-4168	954	16	and	and	CCONJ
ejpam-4168	954	17	figure	figure	NOUN
ejpam-4168	954	18	12	12	NUM
ejpam-4168	954	19	,	,	PUNCT
ejpam-4168	954	20	respectively	respectively	ADV
ejpam-4168	954	21	.	.	PUNCT
ejpam-4168	955	1	let	let	VERB
ejpam-4168	955	2	α	α	NOUN
ejpam-4168	955	3	=	=	SYM
ejpam-4168	955	4	1	1	NUM
ejpam-4168	955	5	2	2	NUM
ejpam-4168	955	6	.	.	PUNCT
ejpam-4168	956	1	note	note	VERB
ejpam-4168	956	2	that	that	SCONJ
ejpam-4168	956	3	∂α(p6	∂α(p6	NOUN
ejpam-4168	956	4	)	)	PUNCT
ejpam-4168	956	5	=	=	SYM
ejpam-4168	956	6	∂α(p5	∂α(p5	PROPN
ejpam-4168	956	7	)	)	PUNCT
ejpam-4168	956	8	=	=	SYM
ejpam-4168	957	1	1	1	X
ejpam-4168	957	2	.	.	PUNCT
ejpam-4168	957	3	it	it	PRON
ejpam-4168	957	4	can	can	AUX
ejpam-4168	957	5	easily	easily	ADV
ejpam-4168	957	6	be	be	AUX
ejpam-4168	957	7	verified	verify	VERB
ejpam-4168	957	8	that	that	SCONJ
ejpam-4168	957	9	∂cα(p6[p7	∂cα(p6[p7	NOUN
ejpam-4168	957	10	]	]	X
ejpam-4168	957	11	)	)	PUNCT
ejpam-4168	957	12	=	=	SYM
ejpam-4168	957	13	2	2	NUM
ejpam-4168	957	14	and	and	CCONJ
ejpam-4168	957	15	∂cα(p5[p4	∂cα(p5[p4	NOUN
ejpam-4168	957	16	]	]	X
ejpam-4168	957	17	)	)	PUNCT
ejpam-4168	957	18	=	=	SYM
ejpam-4168	957	19	1	1	X
ejpam-4168	957	20	.	.	X
ejpam-4168	957	21	theorem	theorem	VERB
ejpam-4168	957	22	7	7	NUM
ejpam-4168	957	23	.	.	PUNCT
ejpam-4168	958	1	let	let	VERB
ejpam-4168	958	2	g	g	NOUN
ejpam-4168	958	3	and	and	CCONJ
ejpam-4168	958	4	h	h	NOUN
ejpam-4168	958	5	be	be	AUX
ejpam-4168	958	6	nontrivial	nontrivial	ADJ
ejpam-4168	958	7	connected	connect	VERB
ejpam-4168	958	8	graphs	graph	NOUN
ejpam-4168	958	9	and	and	CCONJ
ejpam-4168	958	10	α	α	PRON
ejpam-4168	958	11	∈	∈	PROPN
ejpam-4168	958	12	(	(	PUNCT
ejpam-4168	958	13	0	0	NUM
ejpam-4168	958	14	,	,	PUNCT
ejpam-4168	958	15	1	1	NUM
ejpam-4168	958	16	]	]	PUNCT
ejpam-4168	958	17	.	.	PUNCT
ejpam-4168	959	1	then	then	ADV
ejpam-4168	959	2	c1	c1	PROPN
ejpam-4168	959	3	=	=	PROPN
ejpam-4168	960	1	s1	s1	PROPN
ejpam-4168	960	2	×	×	PROPN
ejpam-4168	960	3	v	v	NOUN
ejpam-4168	960	4	(	(	PUNCT
ejpam-4168	960	5	h	h	NOUN
ejpam-4168	960	6	)	)	PUNCT
ejpam-4168	960	7	and	and	CCONJ
ejpam-4168	960	8	c2	c2	PROPN
ejpam-4168	960	9	=	=	SYM
ejpam-4168	960	10	v	v	PROPN
ejpam-4168	960	11	(	(	PUNCT
ejpam-4168	960	12	g)×	g)×	NOUN
ejpam-4168	960	13	s2	s2	NOUN
ejpam-4168	960	14	are	be	AUX
ejpam-4168	960	15	connected	connect	VERB
ejpam-4168	960	16	α	α	DET
ejpam-4168	960	17	-	-	ADJ
ejpam-4168	960	18	partial	partial	ADJ
ejpam-4168	960	19	dominating	dominating	NOUN
ejpam-4168	960	20	sets	set	NOUN
ejpam-4168	960	21	in	in	ADP
ejpam-4168	960	22	g	g	NOUN
ejpam-4168	960	23	□	□	PROPN
ejpam-4168	960	24	h	h	NOUN
ejpam-4168	960	25	if	if	SCONJ
ejpam-4168	961	1	and	and	CCONJ
ejpam-4168	961	2	only	only	ADV
ejpam-4168	961	3	if	if	SCONJ
ejpam-4168	961	4	s1	s1	PROPN
ejpam-4168	961	5	and	and	CCONJ
ejpam-4168	961	6	s2	s2	PROPN
ejpam-4168	961	7	are	be	AUX
ejpam-4168	961	8	connected	connect	VERB
ejpam-4168	961	9	α	α	DET
ejpam-4168	961	10	-	-	ADJ
ejpam-4168	961	11	partial	partial	ADJ
ejpam-4168	961	12	dominating	dominating	NOUN
ejpam-4168	961	13	sets	set	NOUN
ejpam-4168	961	14	in	in	ADP
ejpam-4168	961	15	g	g	PROPN
ejpam-4168	961	16	and	and	CCONJ
ejpam-4168	961	17	h	h	NOUN
ejpam-4168	961	18	,	,	PUNCT
ejpam-4168	961	19	respectively	respectively	ADV
ejpam-4168	961	20	.	.	PUNCT
ejpam-4168	962	1	proof	proof	NOUN
ejpam-4168	962	2	:	:	PUNCT
ejpam-4168	962	3	let	let	VERB
ejpam-4168	962	4	|v	|v	PROPN
ejpam-4168	962	5	(	(	PUNCT
ejpam-4168	962	6	g)|	g)|	VERB
ejpam-4168	962	7	=	=	PUNCT
ejpam-4168	962	8	m	m	NOUN
ejpam-4168	962	9	and	and	CCONJ
ejpam-4168	962	10	|v	|v	PROPN
ejpam-4168	962	11	(	(	PUNCT
ejpam-4168	962	12	h)|	h)|	NOUN
ejpam-4168	962	13	=	=	PUNCT
ejpam-4168	962	14	n.	n.	PROPN
ejpam-4168	962	15	suppose	suppose	VERB
ejpam-4168	962	16	that	that	SCONJ
ejpam-4168	962	17	c1	c1	PROPN
ejpam-4168	962	18	=	=	PROPN
ejpam-4168	962	19	s1	s1	PROPN
ejpam-4168	962	20	×	×	PROPN
ejpam-4168	962	21	v	v	NOUN
ejpam-4168	962	22	(	(	PUNCT
ejpam-4168	962	23	h	h	NOUN
ejpam-4168	962	24	)	)	PUNCT
ejpam-4168	962	25	is	be	AUX
ejpam-4168	962	26	a	a	DET
ejpam-4168	962	27	connected	connected	ADJ
ejpam-4168	962	28	α	α	NOUN
ejpam-4168	962	29	-	-	ADJ
ejpam-4168	962	30	partial	partial	ADJ
ejpam-4168	962	31	dominating	dominating	NOUN
ejpam-4168	962	32	set	set	VERB
ejpam-4168	962	33	in	in	ADP
ejpam-4168	962	34	g	g	PROPN
ejpam-4168	962	35	□	□	PROPN
ejpam-4168	962	36	h.	h.	PROPN
ejpam-4168	962	37	then	then	ADV
ejpam-4168	962	38	|ng	|ng	NOUN
ejpam-4168	962	39	□	□	PUNCT
ejpam-4168	962	40	h	h	NOUN
ejpam-4168	962	41	[	[	X
ejpam-4168	962	42	c1]|	c1]|	PROPN
ejpam-4168	962	43	=	=	SYM
ejpam-4168	962	44	|ng[s1]|n	|ng[s1]|n	PROPN
ejpam-4168	962	45	≥	≥	NUM
ejpam-4168	962	46	αmn	αmn	NOUN
ejpam-4168	962	47	.	.	PUNCT
ejpam-4168	963	1	it	it	PRON
ejpam-4168	963	2	follows	follow	VERB
ejpam-4168	963	3	that	that	SCONJ
ejpam-4168	963	4	j.m	j.m	PROPN
ejpam-4168	963	5	.	.	PROPN
ejpam-4168	963	6	cabulao	cabulao	PROPN
ejpam-4168	963	7	,	,	PUNCT
ejpam-4168	963	8	r.	r.	PROPN
ejpam-4168	963	9	isla	isla	PROPN
ejpam-4168	963	10	/	/	SYM
ejpam-4168	963	11	eur	eur	PROPN
ejpam-4168	963	12	.	.	PUNCT
ejpam-4168	964	1	j.	j.	PROPN
ejpam-4168	964	2	pure	pure	PROPN
ejpam-4168	964	3	appl	appl	PROPN
ejpam-4168	964	4	.	.	PROPN
ejpam-4168	964	5	math	math	PROPN
ejpam-4168	964	6	,	,	PUNCT
ejpam-4168	964	7	14	14	NUM
ejpam-4168	964	8	(	(	PUNCT
ejpam-4168	964	9	4	4	NUM
ejpam-4168	964	10	)	)	PUNCT
ejpam-4168	964	11	(	(	PUNCT
ejpam-4168	964	12	2021	2021	NUM
ejpam-4168	964	13	)	)	PUNCT
ejpam-4168	964	14	,	,	PUNCT
ejpam-4168	964	15	1490	1490	NUM
ejpam-4168	964	16	-	-	SYM
ejpam-4168	964	17	1506	1506	NUM
ejpam-4168	964	18	1504	1504	NUM
ejpam-4168	964	19	|ng[s1]|	|ng[s1]|	PROPN
ejpam-4168	964	20	≥	≥	NOUN
ejpam-4168	964	21	αm	αm	ADP
ejpam-4168	964	22	.	.	PUNCT
ejpam-4168	965	1	hence	hence	ADV
ejpam-4168	965	2	,	,	PUNCT
ejpam-4168	965	3	s1	s1	PROPN
ejpam-4168	965	4	is	be	AUX
ejpam-4168	965	5	an	an	DET
ejpam-4168	965	6	α	α	NOUN
ejpam-4168	965	7	-	-	ADJ
ejpam-4168	965	8	partial	partial	ADJ
ejpam-4168	965	9	dominating	dominating	NOUN
ejpam-4168	965	10	set	set	VERB
ejpam-4168	965	11	in	in	ADP
ejpam-4168	965	12	g.	g.	PROPN
ejpam-4168	966	1	if	if	SCONJ
ejpam-4168	966	2	|s1|	|s1|	NOUN
ejpam-4168	966	3	=	=	SYM
ejpam-4168	966	4	1	1	NUM
ejpam-4168	966	5	,	,	PUNCT
ejpam-4168	966	6	then	then	ADV
ejpam-4168	966	7	s1	s1	PROPN
ejpam-4168	966	8	=	=	PUNCT
ejpam-4168	966	9	{	{	PUNCT
ejpam-4168	966	10	x	x	NOUN
ejpam-4168	966	11	}	}	PUNCT
ejpam-4168	966	12	for	for	ADP
ejpam-4168	966	13	some	some	DET
ejpam-4168	966	14	x	x	SYM
ejpam-4168	966	15	∈	∈	PROPN
ejpam-4168	966	16	v	v	ADP
ejpam-4168	966	17	(	(	PUNCT
ejpam-4168	966	18	g	g	NOUN
ejpam-4168	966	19	)	)	PUNCT
ejpam-4168	966	20	and	and	CCONJ
ejpam-4168	966	21	⟨s1⟩	⟨s1⟩	NOUN
ejpam-4168	966	22	is	be	AUX
ejpam-4168	966	23	connected	connect	VERB
ejpam-4168	966	24	in	in	ADP
ejpam-4168	966	25	g.	g.	PROPN
ejpam-4168	966	26	suppose	suppose	VERB
ejpam-4168	966	27	that	that	SCONJ
ejpam-4168	966	28	|s1|	|s1|	NOUN
ejpam-4168	966	29	≥	≥	NOUN
ejpam-4168	966	30	2	2	X
ejpam-4168	966	31	.	.	PUNCT
ejpam-4168	967	1	let	let	VERB
ejpam-4168	967	2	x	x	PRON
ejpam-4168	967	3	,	,	PUNCT
ejpam-4168	967	4	y	y	PROPN
ejpam-4168	967	5	∈	∈	PROPN
ejpam-4168	967	6	s1	s1	NOUN
ejpam-4168	967	7	where	where	SCONJ
ejpam-4168	967	8	x	x	X
ejpam-4168	967	9	̸=	̸=	PROPN
ejpam-4168	967	10	y	y	PROPN
ejpam-4168	967	11	and	and	CCONJ
ejpam-4168	967	12	xy	xy	PROPN
ejpam-4168	967	13	/∈	/∈	PUNCT
ejpam-4168	967	14	e(g	e(g	PROPN
ejpam-4168	967	15	)	)	PUNCT
ejpam-4168	967	16	.	.	PUNCT
ejpam-4168	968	1	pick	pick	VERB
ejpam-4168	968	2	a	a	PRON
ejpam-4168	968	3	,	,	PUNCT
ejpam-4168	968	4	b	b	PROPN
ejpam-4168	968	5	∈	∈	PROPN
ejpam-4168	968	6	v	v	NOUN
ejpam-4168	968	7	(	(	PUNCT
ejpam-4168	968	8	h	h	NOUN
ejpam-4168	968	9	)	)	PUNCT
ejpam-4168	968	10	;	;	PUNCT
ejpam-4168	968	11	then	then	ADV
ejpam-4168	968	12	(	(	PUNCT
ejpam-4168	968	13	x	x	X
ejpam-4168	968	14	,	,	PUNCT
ejpam-4168	968	15	a	a	PRON
ejpam-4168	968	16	)	)	PUNCT
ejpam-4168	968	17	,	,	PUNCT
ejpam-4168	968	18	(	(	PUNCT
ejpam-4168	968	19	y	y	PROPN
ejpam-4168	968	20	,	,	PUNCT
ejpam-4168	968	21	b	b	NOUN
ejpam-4168	968	22	)	)	PUNCT
ejpam-4168	968	23	∈	∈	PROPN
ejpam-4168	968	24	c1	c1	NOUN
ejpam-4168	968	25	.	.	PUNCT
ejpam-4168	969	1	since	since	SCONJ
ejpam-4168	969	2	h	h	NOUN
ejpam-4168	969	3	is	be	AUX
ejpam-4168	969	4	connected	connect	VERB
ejpam-4168	969	5	,	,	PUNCT
ejpam-4168	969	6	there	there	PRON
ejpam-4168	969	7	is	be	VERB
ejpam-4168	969	8	a	a	DET
ejpam-4168	969	9	geodesic	geodesic	NOUN
ejpam-4168	969	10	[	[	X
ejpam-4168	969	11	a	a	PRON
ejpam-4168	969	12	=	=	PUNCT
ejpam-4168	969	13	a1	a1	PROPN
ejpam-4168	969	14	,	,	PUNCT
ejpam-4168	969	15	a2	a2	PROPN
ejpam-4168	969	16	,	,	PUNCT
ejpam-4168	969	17	a3	a3	NOUN
ejpam-4168	969	18	,	,	PUNCT
ejpam-4168	969	19	...	...	PUNCT
ejpam-4168	969	20	,	,	PUNCT
ejpam-4168	969	21	am	be	AUX
ejpam-4168	969	22	=	=	SYM
ejpam-4168	969	23	b	b	X
ejpam-4168	969	24	]	]	PUNCT
ejpam-4168	969	25	from	from	ADP
ejpam-4168	969	26	a	a	DET
ejpam-4168	969	27	to	to	PART
ejpam-4168	969	28	b	b	NOUN
ejpam-4168	969	29	in	in	ADP
ejpam-4168	969	30	h	h	NOUN
ejpam-4168	969	31	,	,	PUNCT
ejpam-4168	969	32	and	and	CCONJ
ejpam-4168	969	33	since	since	SCONJ
ejpam-4168	969	34	⟨c⟩	⟨c⟩	PROPN
ejpam-4168	969	35	is	be	AUX
ejpam-4168	969	36	connected	connect	VERB
ejpam-4168	969	37	,	,	PUNCT
ejpam-4168	969	38	there	there	PRON
ejpam-4168	969	39	is	be	VERB
ejpam-4168	969	40	an	an	DET
ejpam-4168	969	41	(	(	PUNCT
ejpam-4168	969	42	x	x	NOUN
ejpam-4168	969	43	,	,	PUNCT
ejpam-4168	969	44	a)-(y	a)-(y	PROPN
ejpam-4168	969	45	,	,	PUNCT
ejpam-4168	969	46	b	b	NOUN
ejpam-4168	969	47	)	)	PUNCT
ejpam-4168	969	48	geodesic	geodesic	NOUN
ejpam-4168	970	1	[	[	X
ejpam-4168	970	2	(	(	PUNCT
ejpam-4168	970	3	x	x	NOUN
ejpam-4168	970	4	,	,	PUNCT
ejpam-4168	970	5	a	a	PRON
ejpam-4168	970	6	)	)	PUNCT
ejpam-4168	970	7	=	=	SYM
ejpam-4168	970	8	(	(	PUNCT
ejpam-4168	970	9	x1	x1	PROPN
ejpam-4168	970	10	,	,	PUNCT
ejpam-4168	970	11	a	a	NOUN
ejpam-4168	970	12	)	)	PUNCT
ejpam-4168	970	13	,	,	PUNCT
ejpam-4168	970	14	(	(	PUNCT
ejpam-4168	970	15	x2	x2	PROPN
ejpam-4168	970	16	,	,	PUNCT
ejpam-4168	970	17	a	a	PRON
ejpam-4168	970	18	)	)	PUNCT
ejpam-4168	970	19	,	,	PUNCT
ejpam-4168	970	20	...	...	PUNCT
ejpam-4168	970	21	,	,	PUNCT
ejpam-4168	970	22	(	(	PUNCT
ejpam-4168	970	23	xr	xr	PROPN
ejpam-4168	970	24	,	,	PUNCT
ejpam-4168	970	25	a	a	PRON
ejpam-4168	970	26	)	)	PUNCT
ejpam-4168	970	27	=	=	SYM
ejpam-4168	970	28	(	(	PUNCT
ejpam-4168	970	29	y	y	PROPN
ejpam-4168	970	30	,	,	PUNCT
ejpam-4168	970	31	a1	a1	PROPN
ejpam-4168	970	32	)	)	PUNCT
ejpam-4168	970	33	,	,	PUNCT
ejpam-4168	970	34	...	...	PUNCT
ejpam-4168	970	35	,	,	PUNCT
ejpam-4168	970	36	(	(	PUNCT
ejpam-4168	970	37	y	y	NOUN
ejpam-4168	970	38	,	,	PUNCT
ejpam-4168	970	39	am	be	AUX
ejpam-4168	970	40	)	)	PUNCT
ejpam-4168	970	41	=	=	SYM
ejpam-4168	970	42	(	(	PUNCT
ejpam-4168	970	43	y	y	PROPN
ejpam-4168	970	44	,	,	PUNCT
ejpam-4168	970	45	b	b	NOUN
ejpam-4168	970	46	)	)	PUNCT
ejpam-4168	970	47	]	]	PUNCT
ejpam-4168	970	48	in	in	ADP
ejpam-4168	970	49	g	g	PROPN
ejpam-4168	970	50	□	□	PROPN
ejpam-4168	970	51	h	h	NOUN
ejpam-4168	970	52	,	,	PUNCT
ejpam-4168	970	53	where	where	SCONJ
ejpam-4168	970	54	(	(	PUNCT
ejpam-4168	970	55	xi	xi	PROPN
ejpam-4168	970	56	,	,	PUNCT
ejpam-4168	970	57	a	a	NOUN
ejpam-4168	970	58	)	)	PUNCT
ejpam-4168	970	59	,	,	PUNCT
ejpam-4168	970	60	(	(	PUNCT
ejpam-4168	970	61	y	y	PROPN
ejpam-4168	970	62	,	,	PUNCT
ejpam-4168	970	63	aj	aj	PROPN
ejpam-4168	970	64	)	)	PUNCT
ejpam-4168	970	65	∈	∈	PROPN
ejpam-4168	970	66	c1	c1	PROPN
ejpam-4168	970	67	for	for	ADP
ejpam-4168	970	68	all	all	DET
ejpam-4168	970	69	i	i	PRON
ejpam-4168	970	70	and	and	CCONJ
ejpam-4168	970	71	j.	j.	PROPN
ejpam-4168	970	72	it	it	PRON
ejpam-4168	970	73	follows	follow	VERB
ejpam-4168	970	74	that	that	SCONJ
ejpam-4168	971	1	[	[	X
ejpam-4168	971	2	x	x	X
ejpam-4168	971	3	=	=	SYM
ejpam-4168	971	4	x1	x1	PROPN
ejpam-4168	971	5	,	,	PUNCT
ejpam-4168	971	6	x2	x2	PROPN
ejpam-4168	971	7	,	,	PUNCT
ejpam-4168	971	8	...	...	PUNCT
ejpam-4168	971	9	,	,	PUNCT
ejpam-4168	971	10	xr	xr	PROPN
ejpam-4168	971	11	=	=	SYM
ejpam-4168	971	12	y	y	PROPN
ejpam-4168	971	13	]	]	PUNCT
ejpam-4168	971	14	is	be	AUX
ejpam-4168	971	15	a	a	DET
ejpam-4168	971	16	path	path	NOUN
ejpam-4168	971	17	from	from	ADP
ejpam-4168	971	18	x	x	PUNCT
ejpam-4168	971	19	to	to	ADP
ejpam-4168	971	20	y	y	PROPN
ejpam-4168	971	21	in	in	ADP
ejpam-4168	971	22	g	g	PROPN
ejpam-4168	971	23	,	,	PUNCT
ejpam-4168	971	24	where	where	SCONJ
ejpam-4168	971	25	xi	xi	PROPN
ejpam-4168	971	26	∈	∈	PROPN
ejpam-4168	971	27	s1	s1	PROPN
ejpam-4168	971	28	for	for	ADP
ejpam-4168	971	29	all	all	DET
ejpam-4168	971	30	i.	i.	NOUN
ejpam-4168	971	31	hence	hence	ADV
ejpam-4168	971	32	,	,	PUNCT
ejpam-4168	971	33	⟨s1⟩	⟨s1⟩	NOUN
ejpam-4168	971	34	is	be	AUX
ejpam-4168	971	35	connected	connect	VERB
ejpam-4168	971	36	,	,	PUNCT
ejpam-4168	971	37	thus	thus	ADV
ejpam-4168	971	38	s1	s1	NOUN
ejpam-4168	971	39	is	be	AUX
ejpam-4168	971	40	a	a	DET
ejpam-4168	971	41	connected	connected	ADJ
ejpam-4168	971	42	α	α	NOUN
ejpam-4168	971	43	-	-	ADJ
ejpam-4168	971	44	partial	partial	ADJ
ejpam-4168	971	45	dominating	dominating	NOUN
ejpam-4168	971	46	set	set	VERB
ejpam-4168	971	47	in	in	ADP
ejpam-4168	971	48	g.	g.	PROPN
ejpam-4168	971	49	similarly	similarly	ADV
ejpam-4168	971	50	,	,	PUNCT
ejpam-4168	971	51	if	if	SCONJ
ejpam-4168	971	52	c2	c2	PROPN
ejpam-4168	971	53	=	=	SYM
ejpam-4168	971	54	v	v	PROPN
ejpam-4168	971	55	(	(	PUNCT
ejpam-4168	971	56	g)×	g)×	NOUN
ejpam-4168	971	57	s2	s2	NOUN
ejpam-4168	971	58	is	be	AUX
ejpam-4168	971	59	an	an	DET
ejpam-4168	971	60	α	α	NOUN
ejpam-4168	971	61	-	-	ADJ
ejpam-4168	971	62	partial	partial	ADJ
ejpam-4168	971	63	dominating	dominating	NOUN
ejpam-4168	971	64	set	set	VERB
ejpam-4168	971	65	in	in	ADP
ejpam-4168	971	66	g	g	PROPN
ejpam-4168	971	67	□	□	PROPN
ejpam-4168	971	68	h	h	NOUN
ejpam-4168	971	69	,	,	PUNCT
ejpam-4168	971	70	then	then	ADV
ejpam-4168	971	71	s2	s2	PROPN
ejpam-4168	971	72	is	be	AUX
ejpam-4168	971	73	a	a	DET
ejpam-4168	971	74	connected	connected	ADJ
ejpam-4168	971	75	α	α	NOUN
ejpam-4168	971	76	-	-	ADJ
ejpam-4168	971	77	partial	partial	ADJ
ejpam-4168	971	78	dominating	dominating	NOUN
ejpam-4168	971	79	set	set	VERB
ejpam-4168	971	80	in	in	ADP
ejpam-4168	971	81	h.	h.	PROPN
ejpam-4168	971	82	for	for	ADP
ejpam-4168	971	83	the	the	DET
ejpam-4168	971	84	converse	converse	NOUN
ejpam-4168	971	85	,	,	PUNCT
ejpam-4168	971	86	suppose	suppose	VERB
ejpam-4168	971	87	that	that	SCONJ
ejpam-4168	971	88	c1	c1	PROPN
ejpam-4168	971	89	=	=	PROPN
ejpam-4168	971	90	s1	s1	PROPN
ejpam-4168	971	91	×	×	PROPN
ejpam-4168	971	92	v	v	NOUN
ejpam-4168	971	93	(	(	PUNCT
ejpam-4168	971	94	h	h	NOUN
ejpam-4168	971	95	)	)	PUNCT
ejpam-4168	971	96	⊆	⊆	NUM
ejpam-4168	971	97	v	v	NOUN
ejpam-4168	971	98	(	(	PUNCT
ejpam-4168	971	99	g	g	NOUN
ejpam-4168	971	100	□	□	NOUN
ejpam-4168	971	101	h	h	NOUN
ejpam-4168	971	102	)	)	PUNCT
ejpam-4168	971	103	where	where	SCONJ
ejpam-4168	971	104	s1	s1	NOUN
ejpam-4168	971	105	is	be	AUX
ejpam-4168	971	106	a	a	DET
ejpam-4168	971	107	connected	connected	ADJ
ejpam-4168	971	108	α	α	NOUN
ejpam-4168	971	109	-	-	ADJ
ejpam-4168	971	110	partial	partial	ADJ
ejpam-4168	971	111	dominating	dominating	NOUN
ejpam-4168	971	112	set	set	VERB
ejpam-4168	971	113	in	in	ADP
ejpam-4168	971	114	g.	g.	PROPN
ejpam-4168	971	115	then	then	ADV
ejpam-4168	971	116	|ng	|ng	AUX
ejpam-4168	971	117	□	□	PUNCT
ejpam-4168	971	118	h	h	NOUN
ejpam-4168	971	119	[	[	X
ejpam-4168	971	120	c1]|	c1]|	PROPN
ejpam-4168	971	121	=	=	SYM
ejpam-4168	971	122	|ng[s1]|n	|ng[s1]|n	PROPN
ejpam-4168	971	123	≥	≥	NUM
ejpam-4168	971	124	αmn	αmn	NOUN
ejpam-4168	971	125	,	,	PUNCT
ejpam-4168	971	126	hence	hence	ADV
ejpam-4168	971	127	c1	c1	PROPN
ejpam-4168	971	128	is	be	AUX
ejpam-4168	971	129	an	an	DET
ejpam-4168	971	130	α	α	NOUN
ejpam-4168	971	131	-	-	ADJ
ejpam-4168	971	132	partial	partial	ADJ
ejpam-4168	971	133	dominating	dominating	NOUN
ejpam-4168	971	134	set	set	VERB
ejpam-4168	971	135	in	in	ADP
ejpam-4168	971	136	g	g	PROPN
ejpam-4168	971	137	□	□	PROPN
ejpam-4168	971	138	h.	h.	PROPN
ejpam-4168	971	139	suppose	suppose	VERB
ejpam-4168	971	140	that	that	SCONJ
ejpam-4168	971	141	|s1|	|s1|	NOUN
ejpam-4168	971	142	=	=	SYM
ejpam-4168	971	143	1	1	NUM
ejpam-4168	971	144	,	,	PUNCT
ejpam-4168	971	145	say	say	VERB
ejpam-4168	971	146	s1	s1	NOUN
ejpam-4168	971	147	=	=	PUNCT
ejpam-4168	971	148	{	{	PUNCT
ejpam-4168	971	149	x	x	NOUN
ejpam-4168	971	150	}	}	PUNCT
ejpam-4168	971	151	for	for	ADP
ejpam-4168	971	152	some	some	DET
ejpam-4168	971	153	x	x	SYM
ejpam-4168	971	154	∈	∈	PROPN
ejpam-4168	971	155	v	v	NOUN
ejpam-4168	971	156	(	(	PUNCT
ejpam-4168	971	157	g	g	NOUN
ejpam-4168	971	158	)	)	PUNCT
ejpam-4168	971	159	.	.	PUNCT
ejpam-4168	972	1	let	let	VERB
ejpam-4168	972	2	a	a	DET
ejpam-4168	972	3	,	,	PUNCT
ejpam-4168	972	4	b	b	PROPN
ejpam-4168	972	5	∈	∈	PROPN
ejpam-4168	972	6	v	v	NOUN
ejpam-4168	972	7	(	(	PUNCT
ejpam-4168	972	8	h	h	NOUN
ejpam-4168	972	9	)	)	PUNCT
ejpam-4168	972	10	,	,	PUNCT
ejpam-4168	972	11	where	where	SCONJ
ejpam-4168	972	12	a	a	DET
ejpam-4168	972	13	̸=	̸=	PROPN
ejpam-4168	972	14	b.	b.	NOUN
ejpam-4168	972	15	then	then	ADV
ejpam-4168	972	16	(	(	PUNCT
ejpam-4168	972	17	x	x	X
ejpam-4168	972	18	,	,	PUNCT
ejpam-4168	972	19	a	a	PRON
ejpam-4168	972	20	)	)	PUNCT
ejpam-4168	972	21	,	,	PUNCT
ejpam-4168	972	22	(	(	PUNCT
ejpam-4168	972	23	x	x	NOUN
ejpam-4168	972	24	,	,	PUNCT
ejpam-4168	972	25	b	b	NOUN
ejpam-4168	972	26	)	)	PUNCT
ejpam-4168	972	27	∈	∈	PROPN
ejpam-4168	972	28	c1	c1	NOUN
ejpam-4168	972	29	and	and	CCONJ
ejpam-4168	972	30	(	(	PUNCT
ejpam-4168	972	31	x	x	NOUN
ejpam-4168	972	32	,	,	PUNCT
ejpam-4168	972	33	a	a	PRON
ejpam-4168	972	34	)	)	PUNCT
ejpam-4168	972	35	̸=	̸=	PROPN
ejpam-4168	972	36	(	(	PUNCT
ejpam-4168	972	37	x	x	X
ejpam-4168	972	38	,	,	PUNCT
ejpam-4168	972	39	b	b	NOUN
ejpam-4168	972	40	)	)	PUNCT
ejpam-4168	972	41	.	.	PUNCT
ejpam-4168	973	1	if	if	SCONJ
ejpam-4168	973	2	ab	ab	PROPN
ejpam-4168	973	3	∈	∈	PROPN
ejpam-4168	973	4	e(h	e(h	PROPN
ejpam-4168	973	5	)	)	PUNCT
ejpam-4168	973	6	,	,	PUNCT
ejpam-4168	973	7	then	then	ADV
ejpam-4168	973	8	(	(	PUNCT
ejpam-4168	973	9	x	x	X
ejpam-4168	973	10	,	,	PUNCT
ejpam-4168	973	11	a	a	NOUN
ejpam-4168	973	12	)	)	PUNCT
ejpam-4168	973	13	(	(	PUNCT
ejpam-4168	973	14	x	x	X
ejpam-4168	973	15	,	,	PUNCT
ejpam-4168	973	16	b	b	X
ejpam-4168	973	17	)	)	PUNCT
ejpam-4168	973	18	∈	∈	PROPN
ejpam-4168	973	19	e(g	e(g	PROPN
ejpam-4168	973	20	□	□	PUNCT
ejpam-4168	973	21	h	h	NOUN
ejpam-4168	973	22	)	)	PUNCT
ejpam-4168	973	23	.	.	PUNCT
ejpam-4168	974	1	if	if	SCONJ
ejpam-4168	974	2	ab	ab	PROPN
ejpam-4168	974	3	/∈	/∈	PUNCT
ejpam-4168	974	4	e(h	e(h	PROPN
ejpam-4168	974	5	)	)	PUNCT
ejpam-4168	974	6	,	,	PUNCT
ejpam-4168	974	7	then	then	ADV
ejpam-4168	974	8	since	since	SCONJ
ejpam-4168	974	9	h	h	NOUN
ejpam-4168	974	10	is	be	AUX
ejpam-4168	974	11	connected	connect	VERB
ejpam-4168	974	12	,	,	PUNCT
ejpam-4168	974	13	there	there	PRON
ejpam-4168	974	14	is	be	VERB
ejpam-4168	974	15	an	an	DET
ejpam-4168	974	16	a	a	PRON
ejpam-4168	974	17	-	-	PUNCT
ejpam-4168	974	18	b	b	NOUN
ejpam-4168	974	19	geodesic	geodesic	NOUN
ejpam-4168	974	20	[	[	X
ejpam-4168	974	21	a	a	PRON
ejpam-4168	974	22	=	=	PUNCT
ejpam-4168	974	23	a1	a1	NOUN
ejpam-4168	974	24	,	,	PUNCT
ejpam-4168	974	25	a2	a2	PROPN
ejpam-4168	974	26	,	,	PUNCT
ejpam-4168	974	27	...	...	PUNCT
ejpam-4168	974	28	,	,	PUNCT
ejpam-4168	974	29	ar	ar	PROPN
ejpam-4168	974	30	=	=	SYM
ejpam-4168	974	31	b	b	PROPN
ejpam-4168	974	32	]	]	X
ejpam-4168	974	33	in	in	ADP
ejpam-4168	974	34	h.	h.	PROPN
ejpam-4168	974	35	consequently	consequently	ADV
ejpam-4168	974	36	,	,	PUNCT
ejpam-4168	974	37	[	[	X
ejpam-4168	974	38	(	(	PUNCT
ejpam-4168	974	39	x	x	X
ejpam-4168	974	40	,	,	PUNCT
ejpam-4168	974	41	a	a	PRON
ejpam-4168	974	42	)	)	PUNCT
ejpam-4168	974	43	=	=	SYM
ejpam-4168	974	44	(	(	PUNCT
ejpam-4168	974	45	x	x	NOUN
ejpam-4168	974	46	,	,	PUNCT
ejpam-4168	974	47	a1	a1	NOUN
ejpam-4168	974	48	)	)	PUNCT
ejpam-4168	974	49	,	,	PUNCT
ejpam-4168	974	50	(	(	PUNCT
ejpam-4168	974	51	x	x	NOUN
ejpam-4168	974	52	,	,	PUNCT
ejpam-4168	974	53	a2	a2	PROPN
ejpam-4168	974	54	)	)	PUNCT
ejpam-4168	974	55	,	,	PUNCT
ejpam-4168	974	56	...	...	PUNCT
ejpam-4168	974	57	,	,	PUNCT
ejpam-4168	974	58	(	(	PUNCT
ejpam-4168	974	59	x	x	NOUN
ejpam-4168	974	60	,	,	PUNCT
ejpam-4168	974	61	ar	ar	NOUN
ejpam-4168	974	62	)	)	PUNCT
ejpam-4168	974	63	=	=	SYM
ejpam-4168	974	64	(	(	PUNCT
ejpam-4168	974	65	x	x	X
ejpam-4168	974	66	,	,	PUNCT
ejpam-4168	974	67	b	b	NOUN
ejpam-4168	974	68	)	)	PUNCT
ejpam-4168	974	69	]	]	PUNCT
ejpam-4168	974	70	is	be	AUX
ejpam-4168	974	71	an	an	DET
ejpam-4168	974	72	(	(	PUNCT
ejpam-4168	974	73	x	x	NOUN
ejpam-4168	974	74	,	,	PUNCT
ejpam-4168	974	75	a)-(y	a)-(y	PROPN
ejpam-4168	974	76	,	,	PUNCT
ejpam-4168	974	77	b	b	NOUN
ejpam-4168	974	78	)	)	PUNCT
ejpam-4168	974	79	geodesic	geodesic	ADJ
ejpam-4168	974	80	ing	ing	ADJ
ejpam-4168	974	81	□	□	PROPN
ejpam-4168	974	82	h	h	NOUN
ejpam-4168	974	83	with	with	ADP
ejpam-4168	974	84	(	(	PUNCT
ejpam-4168	974	85	x	x	NOUN
ejpam-4168	974	86	,	,	PUNCT
ejpam-4168	974	87	ai	ai	VERB
ejpam-4168	974	88	)	)	PUNCT
ejpam-4168	974	89	∈	∈	PROPN
ejpam-4168	974	90	c1	c1	NOUN
ejpam-4168	974	91	for	for	ADP
ejpam-4168	974	92	all	all	DET
ejpam-4168	974	93	i.	i.	NOUN
ejpam-4168	974	94	hence	hence	ADV
ejpam-4168	974	95	,	,	PUNCT
ejpam-4168	974	96	⟨c1⟩	⟨c1⟩	PRON
ejpam-4168	974	97	is	be	AUX
ejpam-4168	974	98	connected	connect	VERB
ejpam-4168	974	99	.	.	PUNCT
ejpam-4168	975	1	next	next	ADV
ejpam-4168	975	2	,	,	PUNCT
ejpam-4168	975	3	suppose	suppose	VERB
ejpam-4168	975	4	that	that	SCONJ
ejpam-4168	975	5	|s1|	|s1|	NOUN
ejpam-4168	975	6	≥	≥	NOUN
ejpam-4168	975	7	2	2	X
ejpam-4168	975	8	.	.	PUNCT
ejpam-4168	976	1	let	let	VERB
ejpam-4168	976	2	(	(	PUNCT
ejpam-4168	976	3	x	x	X
ejpam-4168	976	4	,	,	PUNCT
ejpam-4168	976	5	a	a	PRON
ejpam-4168	976	6	)	)	PUNCT
ejpam-4168	976	7	,	,	PUNCT
ejpam-4168	976	8	(	(	PUNCT
ejpam-4168	976	9	y	y	PROPN
ejpam-4168	976	10	,	,	PUNCT
ejpam-4168	976	11	b	b	NOUN
ejpam-4168	976	12	)	)	PUNCT
ejpam-4168	976	13	∈	∈	PROPN
ejpam-4168	976	14	c1	c1	NOUN
ejpam-4168	976	15	with	with	ADP
ejpam-4168	976	16	(	(	PUNCT
ejpam-4168	976	17	x	x	NOUN
ejpam-4168	976	18	,	,	PUNCT
ejpam-4168	976	19	a	a	PRON
ejpam-4168	976	20	)	)	PUNCT
ejpam-4168	976	21	̸=	̸=	PROPN
ejpam-4168	976	22	(	(	PUNCT
ejpam-4168	976	23	y	y	PROPN
ejpam-4168	976	24	,	,	PUNCT
ejpam-4168	976	25	b	b	NOUN
ejpam-4168	976	26	)	)	PUNCT
ejpam-4168	976	27	.	.	PUNCT
ejpam-4168	977	1	if	if	SCONJ
ejpam-4168	977	2	x	x	X
ejpam-4168	977	3	=	=	SYM
ejpam-4168	977	4	y	y	PROPN
ejpam-4168	977	5	,	,	PUNCT
ejpam-4168	977	6	then	then	ADV
ejpam-4168	977	7	a	a	DET
ejpam-4168	977	8	̸=	̸=	PROPN
ejpam-4168	977	9	b.	b.	NOUN
ejpam-4168	977	10	from	from	ADP
ejpam-4168	977	11	the	the	DET
ejpam-4168	977	12	preceding	precede	VERB
ejpam-4168	977	13	argument	argument	NOUN
ejpam-4168	977	14	,	,	PUNCT
ejpam-4168	977	15	there	there	PRON
ejpam-4168	977	16	is	be	VERB
ejpam-4168	977	17	an	an	DET
ejpam-4168	977	18	(	(	PUNCT
ejpam-4168	977	19	x	x	NOUN
ejpam-4168	977	20	,	,	PUNCT
ejpam-4168	977	21	a)(y	a)(y	PROPN
ejpam-4168	977	22	,	,	PUNCT
ejpam-4168	977	23	b	b	X
ejpam-4168	977	24	)	)	PUNCT
ejpam-4168	977	25	geodesic	geodesic	NOUN
ejpam-4168	977	26	in	in	ADP
ejpam-4168	977	27	⟨c1⟩.	⟨c1⟩.	PROPN
ejpam-4168	977	28	assume	assume	VERB
ejpam-4168	977	29	that	that	SCONJ
ejpam-4168	977	30	x	x	X
ejpam-4168	977	31	̸=	̸=	PROPN
ejpam-4168	977	32	y.	y.	NOUN
ejpam-4168	977	33	since	since	SCONJ
ejpam-4168	977	34	⟨s1⟩	⟨s1⟩	NOUN
ejpam-4168	977	35	is	be	AUX
ejpam-4168	977	36	connected	connect	VERB
ejpam-4168	977	37	,	,	PUNCT
ejpam-4168	977	38	there	there	PRON
ejpam-4168	977	39	is	be	VERB
ejpam-4168	977	40	an	an	DET
ejpam-4168	977	41	x	x	NOUN
ejpam-4168	977	42	-	-	NOUN
ejpam-4168	977	43	y	y	ADJ
ejpam-4168	977	44	geodesic	geodesic	NOUN
ejpam-4168	978	1	[	[	X
ejpam-4168	978	2	x	x	X
ejpam-4168	978	3	=	=	SYM
ejpam-4168	978	4	x1	x1	PROPN
ejpam-4168	978	5	,	,	PUNCT
ejpam-4168	978	6	x2	x2	PROPN
ejpam-4168	978	7	,	,	PUNCT
ejpam-4168	978	8	...	...	PUNCT
ejpam-4168	978	9	,	,	PUNCT
ejpam-4168	978	10	xr	xr	PROPN
ejpam-4168	978	11	=	=	SYM
ejpam-4168	978	12	y	y	PROPN
ejpam-4168	978	13	]	]	X
ejpam-4168	978	14	in	in	ADP
ejpam-4168	978	15	g	g	NOUN
ejpam-4168	978	16	,	,	PUNCT
ejpam-4168	978	17	with	with	ADP
ejpam-4168	978	18	xi	xi	ADP
ejpam-4168	978	19	∈	∈	PROPN
ejpam-4168	978	20	v	v	ADP
ejpam-4168	978	21	(	(	PUNCT
ejpam-4168	978	22	g	g	NOUN
ejpam-4168	978	23	)	)	PUNCT
ejpam-4168	978	24	for	for	ADP
ejpam-4168	978	25	all	all	DET
ejpam-4168	978	26	i.	i.	NOUN
ejpam-4168	978	27	since	since	SCONJ
ejpam-4168	978	28	h	h	NOUN
ejpam-4168	978	29	is	be	AUX
ejpam-4168	978	30	connected	connect	VERB
ejpam-4168	978	31	,	,	PUNCT
ejpam-4168	978	32	there	there	PRON
ejpam-4168	978	33	is	be	VERB
ejpam-4168	978	34	an	an	DET
ejpam-4168	978	35	a	a	PRON
ejpam-4168	978	36	-	-	PUNCT
ejpam-4168	978	37	b	b	NOUN
ejpam-4168	978	38	geodesic	geodesic	NOUN
ejpam-4168	978	39	[	[	X
ejpam-4168	978	40	a	a	X
ejpam-4168	978	41	=	=	SYM
ejpam-4168	978	42	b1	b1	NOUN
ejpam-4168	978	43	,	,	PUNCT
ejpam-4168	978	44	b2	b2	NOUN
ejpam-4168	978	45	...	...	PUNCT
ejpam-4168	978	46	,	,	PUNCT
ejpam-4168	978	47	bs	bs	NOUN
ejpam-4168	978	48	=	=	SYM
ejpam-4168	978	49	b	b	PROPN
ejpam-4168	978	50	]	]	X
ejpam-4168	978	51	inh	inh	PROPN
ejpam-4168	978	52	.	.	PUNCT
ejpam-4168	979	1	it	it	PRON
ejpam-4168	979	2	follows	follow	VERB
ejpam-4168	979	3	that	that	SCONJ
ejpam-4168	980	1	[	[	X
ejpam-4168	980	2	(	(	PUNCT
ejpam-4168	980	3	x	x	X
ejpam-4168	980	4	,	,	PUNCT
ejpam-4168	980	5	a	a	PRON
ejpam-4168	980	6	)	)	PUNCT
ejpam-4168	980	7	=	=	SYM
ejpam-4168	980	8	(	(	PUNCT
ejpam-4168	980	9	x1	x1	PROPN
ejpam-4168	980	10	,	,	PUNCT
ejpam-4168	980	11	b1	b1	NOUN
ejpam-4168	980	12	)	)	PUNCT
ejpam-4168	980	13	,	,	PUNCT
ejpam-4168	980	14	(	(	PUNCT
ejpam-4168	980	15	x2	x2	PROPN
ejpam-4168	980	16	,	,	PUNCT
ejpam-4168	980	17	b1	b1	NOUN
ejpam-4168	980	18	)	)	PUNCT
ejpam-4168	980	19	,	,	PUNCT
ejpam-4168	980	20	...	...	PUNCT
ejpam-4168	980	21	,	,	PUNCT
ejpam-4168	980	22	(	(	PUNCT
ejpam-4168	980	23	xr	xr	PROPN
ejpam-4168	980	24	,	,	PUNCT
ejpam-4168	980	25	b1	b1	PROPN
ejpam-4168	980	26	)	)	PUNCT
ejpam-4168	980	27	,	,	PUNCT
ejpam-4168	980	28	(	(	PUNCT
ejpam-4168	980	29	xr	xr	PROPN
ejpam-4168	980	30	,	,	PUNCT
ejpam-4168	980	31	b2	b2	NOUN
ejpam-4168	980	32	)	)	PUNCT
ejpam-4168	980	33	,	,	PUNCT
ejpam-4168	980	34	...	...	PUNCT
ejpam-4168	980	35	,	,	PUNCT
ejpam-4168	980	36	(	(	PUNCT
ejpam-4168	980	37	xr	xr	NOUN
ejpam-4168	980	38	,	,	PUNCT
ejpam-4168	980	39	bs	bs	NOUN
ejpam-4168	980	40	)	)	PUNCT
ejpam-4168	980	41	=	=	SYM
ejpam-4168	980	42	(	(	PUNCT
ejpam-4168	980	43	y	y	PROPN
ejpam-4168	980	44	,	,	PUNCT
ejpam-4168	980	45	b	b	NOUN
ejpam-4168	980	46	)	)	PUNCT
ejpam-4168	980	47	]	]	PUNCT
ejpam-4168	980	48	is	be	AUX
ejpam-4168	980	49	a	a	DET
ejpam-4168	980	50	path	path	NOUN
ejpam-4168	980	51	from	from	ADP
ejpam-4168	980	52	(	(	PUNCT
ejpam-4168	980	53	x	x	NOUN
ejpam-4168	980	54	,	,	PUNCT
ejpam-4168	980	55	a	a	PRON
ejpam-4168	980	56	)	)	PUNCT
ejpam-4168	980	57	to	to	ADP
ejpam-4168	980	58	(	(	PUNCT
ejpam-4168	980	59	y	y	PROPN
ejpam-4168	980	60	,	,	PUNCT
ejpam-4168	980	61	b	b	NOUN
ejpam-4168	980	62	)	)	PUNCT
ejpam-4168	980	63	in	in	ADP
ejpam-4168	980	64	g	g	NOUN
ejpam-4168	980	65	□	□	PROPN
ejpam-4168	980	66	h	h	NOUN
ejpam-4168	980	67	,	,	PUNCT
ejpam-4168	980	68	with	with	ADP
ejpam-4168	980	69	(	(	PUNCT
ejpam-4168	980	70	xi	xi	ADJ
ejpam-4168	980	71	,	,	PUNCT
ejpam-4168	980	72	bj	bj	NOUN
ejpam-4168	980	73	)	)	PUNCT
ejpam-4168	980	74	∈	∈	PROPN
ejpam-4168	980	75	c1	c1	NOUN
ejpam-4168	980	76	for	for	ADP
ejpam-4168	980	77	all	all	DET
ejpam-4168	980	78	i	i	PROPN
ejpam-4168	980	79	and	and	CCONJ
ejpam-4168	980	80	j.	j.	PROPN
ejpam-4168	980	81	hence	hence	PROPN
ejpam-4168	980	82	,	,	PUNCT
ejpam-4168	980	83	c1	c1	PROPN
ejpam-4168	980	84	is	be	AUX
ejpam-4168	980	85	a	a	DET
ejpam-4168	980	86	connected	connected	ADJ
ejpam-4168	980	87	α	α	NOUN
ejpam-4168	980	88	-	-	ADJ
ejpam-4168	980	89	partial	partial	ADJ
ejpam-4168	980	90	dominating	dominating	NOUN
ejpam-4168	980	91	set	set	VERB
ejpam-4168	980	92	in	in	ADP
ejpam-4168	980	93	g	g	PROPN
ejpam-4168	980	94	□	□	PROPN
ejpam-4168	980	95	h.	h.	NOUN
ejpam-4168	980	96	similarly	similarly	ADV
ejpam-4168	980	97	,	,	PUNCT
ejpam-4168	980	98	if	if	SCONJ
ejpam-4168	980	99	c2	c2	PROPN
ejpam-4168	980	100	=	=	SYM
ejpam-4168	980	101	v	v	PROPN
ejpam-4168	980	102	(	(	PUNCT
ejpam-4168	980	103	g)×s2	g)×s2	PROPN
ejpam-4168	980	104	⊆	⊆	NUM
ejpam-4168	980	105	v	v	NOUN
ejpam-4168	980	106	(	(	PUNCT
ejpam-4168	980	107	g	g	NOUN
ejpam-4168	980	108	□	□	NOUN
ejpam-4168	980	109	h	h	NOUN
ejpam-4168	980	110	)	)	PUNCT
ejpam-4168	980	111	where	where	SCONJ
ejpam-4168	980	112	s2	s2	NOUN
ejpam-4168	980	113	is	be	AUX
ejpam-4168	980	114	a	a	DET
ejpam-4168	980	115	connected	connected	ADJ
ejpam-4168	980	116	α	α	NOUN
ejpam-4168	980	117	-	-	ADJ
ejpam-4168	980	118	partial	partial	ADJ
ejpam-4168	980	119	dominating	dominating	NOUN
ejpam-4168	980	120	set	set	VERB
ejpam-4168	980	121	in	in	ADP
ejpam-4168	980	122	h	h	NOUN
ejpam-4168	980	123	,	,	PUNCT
ejpam-4168	980	124	then	then	ADV
ejpam-4168	980	125	c2	c2	PROPN
ejpam-4168	980	126	is	be	AUX
ejpam-4168	980	127	a	a	DET
ejpam-4168	980	128	connected	connected	ADJ
ejpam-4168	980	129	α	α	NOUN
ejpam-4168	980	130	-	-	ADJ
ejpam-4168	980	131	partial	partial	ADJ
ejpam-4168	980	132	dominating	dominating	NOUN
ejpam-4168	980	133	set	set	VERB
ejpam-4168	980	134	in	in	ADP
ejpam-4168	980	135	g	g	PROPN
ejpam-4168	980	136	□	□	PROPN
ejpam-4168	980	137	h.	h.	NOUN
ejpam-4168	980	138	the	the	DET
ejpam-4168	980	139	next	next	ADJ
ejpam-4168	980	140	result	result	NOUN
ejpam-4168	980	141	immediately	immediately	ADV
ejpam-4168	980	142	follows	follow	VERB
ejpam-4168	980	143	from	from	ADP
ejpam-4168	980	144	theorem	theorem	ADJ
ejpam-4168	980	145	7	7	NUM
ejpam-4168	980	146	.	.	PUNCT
ejpam-4168	980	147	corollary	corollary	ADJ
ejpam-4168	980	148	6	6	NUM
ejpam-4168	980	149	.	.	PUNCT
ejpam-4168	981	1	let	let	VERB
ejpam-4168	981	2	g	g	NOUN
ejpam-4168	981	3	and	and	CCONJ
ejpam-4168	981	4	h	h	NOUN
ejpam-4168	981	5	be	be	AUX
ejpam-4168	981	6	nontrivial	nontrivial	ADJ
ejpam-4168	981	7	connected	connect	VERB
ejpam-4168	981	8	graphs	graph	NOUN
ejpam-4168	981	9	and	and	CCONJ
ejpam-4168	981	10	α	α	PRON
ejpam-4168	981	11	∈	∈	PROPN
ejpam-4168	981	12	(	(	PUNCT
ejpam-4168	981	13	0	0	NUM
ejpam-4168	981	14	,	,	PUNCT
ejpam-4168	981	15	1	1	NUM
ejpam-4168	981	16	]	]	PUNCT
ejpam-4168	981	17	.	.	PUNCT
ejpam-4168	982	1	then	then	ADV
ejpam-4168	982	2	,	,	PUNCT
ejpam-4168	982	3	∂cα(g	∂cα(g	PROPN
ejpam-4168	982	4	□	□	SYM
ejpam-4168	982	5	h	h	NOUN
ejpam-4168	982	6	)	)	PUNCT
ejpam-4168	982	7	≤	≤	NUM
ejpam-4168	982	8	min	min	NOUN
ejpam-4168	982	9	{	{	PUNCT
ejpam-4168	982	10	|v	|v	PROPN
ejpam-4168	982	11	(	(	PUNCT
ejpam-4168	982	12	g)|	g)|	NOUN
ejpam-4168	982	13	·	·	PUNCT
ejpam-4168	982	14	∂cα(h	∂cα(h	NOUN
ejpam-4168	982	15	)	)	PUNCT
ejpam-4168	982	16	,	,	PUNCT
ejpam-4168	982	17	|v	|v	PROPN
ejpam-4168	982	18	(	(	PUNCT
ejpam-4168	982	19	h)|	h)|	NOUN
ejpam-4168	982	20	·	·	SYM
ejpam-4168	982	21	∂cα(g	∂cα(g	PROPN
ejpam-4168	982	22	)	)	PUNCT
ejpam-4168	982	23	}	}	PUNCT
ejpam-4168	982	24	.	.	PUNCT
ejpam-4168	983	1	remark	remark	NOUN
ejpam-4168	983	2	12	12	NUM
ejpam-4168	983	3	.	.	PUNCT
ejpam-4168	984	1	the	the	DET
ejpam-4168	984	2	bound	bind	VERB
ejpam-4168	984	3	in	in	ADP
ejpam-4168	984	4	corollary	corollary	ADJ
ejpam-4168	984	5	6	6	NUM
ejpam-4168	984	6	is	be	AUX
ejpam-4168	984	7	sharp	sharp	ADJ
ejpam-4168	984	8	.	.	PUNCT
ejpam-4168	985	1	however	however	ADV
ejpam-4168	985	2	,	,	PUNCT
ejpam-4168	985	3	the	the	DET
ejpam-4168	985	4	strict	strict	ADJ
ejpam-4168	985	5	inequality	inequality	NOUN
ejpam-4168	985	6	can	can	AUX
ejpam-4168	985	7	be	be	AUX
ejpam-4168	985	8	attained	attain	VERB
ejpam-4168	985	9	.	.	PUNCT
ejpam-4168	986	1	to	to	PART
ejpam-4168	986	2	see	see	VERB
ejpam-4168	986	3	this	this	PRON
ejpam-4168	986	4	,	,	PUNCT
ejpam-4168	986	5	consider	consider	VERB
ejpam-4168	986	6	the	the	DET
ejpam-4168	986	7	graphs	graph	NOUN
ejpam-4168	986	8	shown	show	VERB
ejpam-4168	986	9	in	in	ADP
ejpam-4168	986	10	figures	figure	NOUN
ejpam-4168	986	11	13	13	NUM
ejpam-4168	986	12	and	and	CCONJ
ejpam-4168	986	13	14	14	NUM
ejpam-4168	986	14	.	.	PUNCT
ejpam-4168	987	1	the	the	DET
ejpam-4168	987	2	shaded	shade	VERB
ejpam-4168	987	3	vertices	vertex	NOUN
ejpam-4168	987	4	in	in	ADP
ejpam-4168	987	5	each	each	DET
ejpam-4168	987	6	graph	graph	NOUN
ejpam-4168	987	7	form	form	VERB
ejpam-4168	987	8	a	a	DET
ejpam-4168	987	9	∂cα	∂cα	NOUN
ejpam-4168	987	10	-	-	PUNCT
ejpam-4168	987	11	set	set	NOUN
ejpam-4168	987	12	,	,	PUNCT
ejpam-4168	987	13	where	where	SCONJ
ejpam-4168	987	14	α	α	NOUN
ejpam-4168	987	15	=	=	NOUN
ejpam-4168	987	16	1	1	NUM
ejpam-4168	987	17	2	2	NUM
ejpam-4168	987	18	.	.	PUNCT
ejpam-4168	988	1	thus	thus	ADV
ejpam-4168	988	2	,	,	PUNCT
ejpam-4168	988	3	∂cα(p4	∂cα(p4	X
ejpam-4168	988	4	□	□	X
ejpam-4168	988	5	p6	p6	ADJ
ejpam-4168	988	6	)	)	PUNCT
ejpam-4168	988	7	=	=	SYM
ejpam-4168	988	8	4	4	NUM
ejpam-4168	988	9	=	=	SYM
ejpam-4168	988	10	min	min	NOUN
ejpam-4168	988	11	{	{	PUNCT
ejpam-4168	988	12	4	4	NUM
ejpam-4168	988	13	·	·	SYM
ejpam-4168	988	14	1	1	NUM
ejpam-4168	988	15	,	,	PUNCT
ejpam-4168	988	16	6	6	NUM
ejpam-4168	988	17	·	·	SYM
ejpam-4168	988	18	1	1	NUM
ejpam-4168	988	19	}	}	PUNCT
ejpam-4168	988	20	=	=	SYM
ejpam-4168	988	21	min	min	PROPN
ejpam-4168	988	22	{	{	PUNCT
ejpam-4168	988	23	|v	|v	PROPN
ejpam-4168	988	24	(	(	PUNCT
ejpam-4168	988	25	p4)|	p4)|	NOUN
ejpam-4168	988	26	·	·	PUNCT
ejpam-4168	988	27	∂cα(p6	∂cα(p6	NOUN
ejpam-4168	988	28	)	)	PUNCT
ejpam-4168	988	29	,	,	PUNCT
ejpam-4168	988	30	|v	|v	PROPN
ejpam-4168	988	31	(	(	PUNCT
ejpam-4168	988	32	p6)|	p6)|	X
ejpam-4168	988	33	·	·	PUNCT
ejpam-4168	988	34	∂cα(p4	∂cα(p4	X
ejpam-4168	988	35	)	)	PUNCT
ejpam-4168	988	36	}	}	PUNCT
ejpam-4168	988	37	=	=	SYM
ejpam-4168	988	38	|v	|v	X
ejpam-4168	988	39	(	(	PUNCT
ejpam-4168	988	40	p4)|	p4)|	NOUN
ejpam-4168	988	41	·	·	PUNCT
ejpam-4168	988	42	∂cα(p6	∂cα(p6	NOUN
ejpam-4168	988	43	)	)	PUNCT
ejpam-4168	988	44	,	,	PUNCT
ejpam-4168	988	45	∂cα(p6	∂cα(p6	NOUN
ejpam-4168	988	46	□	□	NOUN
ejpam-4168	988	47	p3	p3	NOUN
ejpam-4168	988	48	)	)	PUNCT
ejpam-4168	988	49	=	=	SYM
ejpam-4168	988	50	3	3	NUM
ejpam-4168	988	51	=	=	SYM
ejpam-4168	988	52	min	min	NOUN
ejpam-4168	988	53	{	{	PUNCT
ejpam-4168	988	54	6	6	NUM
ejpam-4168	988	55	·	·	SYM
ejpam-4168	988	56	1	1	NUM
ejpam-4168	988	57	,	,	PUNCT
ejpam-4168	988	58	3	3	NUM
ejpam-4168	988	59	·	·	SYM
ejpam-4168	988	60	1	1	NUM
ejpam-4168	988	61	}	}	PUNCT
ejpam-4168	988	62	=	=	SYM
ejpam-4168	988	63	min	min	PROPN
ejpam-4168	988	64	{	{	PUNCT
ejpam-4168	988	65	|v	|v	X
ejpam-4168	988	66	(	(	PUNCT
ejpam-4168	988	67	p6)|	p6)|	X
ejpam-4168	988	68	·	·	PUNCT
ejpam-4168	988	69	∂cα(p3	∂cα(p3	PROPN
ejpam-4168	988	70	)	)	PUNCT
ejpam-4168	988	71	,	,	PUNCT
ejpam-4168	988	72	|v	|v	PROPN
ejpam-4168	988	73	(	(	PUNCT
ejpam-4168	988	74	p3)|	p3)|	NOUN
ejpam-4168	988	75	·	·	PUNCT
ejpam-4168	988	76	∂cα(p6	∂cα(p6	NOUN
ejpam-4168	988	77	)	)	PUNCT
ejpam-4168	988	78	}	}	PUNCT
ejpam-4168	988	79	=	=	SYM
ejpam-4168	988	80	|v	|v	X
ejpam-4168	988	81	(	(	PUNCT
ejpam-4168	988	82	p3)|	p3)|	NOUN
ejpam-4168	988	83	·	·	PUNCT
ejpam-4168	988	84	∂cα(p6	∂cα(p6	NOUN
ejpam-4168	988	85	)	)	PUNCT
ejpam-4168	988	86	,	,	PUNCT
ejpam-4168	988	87	and	and	CCONJ
ejpam-4168	988	88	∂cα(p7	∂cα(p7	X
ejpam-4168	988	89	□	□	X
ejpam-4168	988	90	p8	p8	X
ejpam-4168	988	91	)	)	PUNCT
ejpam-4168	988	92	=	=	PUNCT
ejpam-4168	988	93	10	10	NUM
ejpam-4168	988	94	<	<	X
ejpam-4168	988	95	{	{	PUNCT
ejpam-4168	988	96	7	7	NUM
ejpam-4168	988	97	·	·	SYM
ejpam-4168	988	98	2	2	NUM
ejpam-4168	988	99	,	,	PUNCT
ejpam-4168	988	100	8	8	NUM
ejpam-4168	988	101	·	·	SYM
ejpam-4168	988	102	2	2	X
ejpam-4168	988	103	}	}	PUNCT
ejpam-4168	988	104	=	=	SYM
ejpam-4168	988	105	min	min	PROPN
ejpam-4168	988	106	{	{	PUNCT
ejpam-4168	988	107	|v	|v	PROPN
ejpam-4168	988	108	(	(	PUNCT
ejpam-4168	988	109	p7)|	p7)|	NOUN
ejpam-4168	988	110	·	·	SYM
ejpam-4168	988	111	∂cα(p8	∂cα(p8	NOUN
ejpam-4168	988	112	)	)	PUNCT
ejpam-4168	988	113	,	,	PUNCT
ejpam-4168	988	114	|v	|v	PROPN
ejpam-4168	988	115	(	(	PUNCT
ejpam-4168	988	116	p8)|	p8)|	NOUN
ejpam-4168	988	117	·	·	PUNCT
ejpam-4168	988	118	∂cα(p7	∂cα(p7	X
ejpam-4168	988	119	)	)	PUNCT
ejpam-4168	988	120	}	}	PUNCT
ejpam-4168	988	121	.	.	PUNCT
ejpam-4168	989	1	j.m	j.m	PROPN
ejpam-4168	989	2	.	.	PROPN
ejpam-4168	989	3	cabulao	cabulao	PROPN
ejpam-4168	989	4	,	,	PUNCT
ejpam-4168	989	5	r.	r.	PROPN
ejpam-4168	989	6	isla	isla	PROPN
ejpam-4168	989	7	/	/	SYM
ejpam-4168	989	8	eur	eur	PROPN
ejpam-4168	989	9	.	.	PUNCT
ejpam-4168	990	1	j.	j.	PROPN
ejpam-4168	990	2	pure	pure	PROPN
ejpam-4168	990	3	appl	appl	PROPN
ejpam-4168	990	4	.	.	PROPN
ejpam-4168	990	5	math	math	PROPN
ejpam-4168	990	6	,	,	PUNCT
ejpam-4168	990	7	14	14	NUM
ejpam-4168	990	8	(	(	PUNCT
ejpam-4168	990	9	4	4	NUM
ejpam-4168	990	10	)	)	PUNCT
ejpam-4168	990	11	(	(	PUNCT
ejpam-4168	990	12	2021	2021	NUM
ejpam-4168	990	13	)	)	PUNCT
ejpam-4168	990	14	,	,	PUNCT
ejpam-4168	990	15	1490	1490	NUM
ejpam-4168	990	16	-	-	SYM
ejpam-4168	990	17	1506	1506	NUM
ejpam-4168	990	18	1505	1505	NUM
ejpam-4168	990	19	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	20	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	21	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	22	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	23	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	24	....................................	....................................	PUNCT
ejpam-4168	990	25	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	26	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	27	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	28	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	29	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	30	....................................	....................................	PUNCT
ejpam-4168	990	31	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	32	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	33	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	34	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	35	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	36	....................................	....................................	PUNCT
ejpam-4168	990	37	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	38	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	39	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	40	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	41	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	42	....................................	....................................	PUNCT
ejpam-4168	990	43	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	44	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	45	....................................	....................................	PUNCT
ejpam-4168	990	46	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	47	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	48	....................................	....................................	PUNCT
ejpam-4168	990	49	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	50	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	51	....................................	....................................	PUNCT
ejpam-4168	990	52	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	53	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	54	....................................	....................................	PUNCT
ejpam-4168	990	55	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	56	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	57	....................................	....................................	PUNCT
ejpam-4168	990	58	...................................................................................	...................................................................................	PUNCT
ejpam-4168	990	59	...................................................................................	...................................................................................	PUNCT
ejpam-4168	991	1	....................................	....................................	PUNCT
ejpam-4168	991	2	.........	.........	PUNCT
ejpam-4168	991	3	........	........	PUNCT
ejpam-4168	991	4	........	........	PUNCT
ejpam-4168	991	5	........	........	PUNCT
ejpam-4168	991	6	........	........	PUNCT
ejpam-4168	992	1	......	......	PUNCT
ejpam-4168	992	2	....................................	....................................	PUNCT
ejpam-4168	993	1	.........	.........	PUNCT
ejpam-4168	993	2	........	........	PUNCT
ejpam-4168	993	3	........	........	PUNCT
ejpam-4168	993	4	........	........	PUNCT
ejpam-4168	994	1	........	........	PUNCT
ejpam-4168	994	2	......	......	PUNCT
ejpam-4168	995	1	....................................	....................................	PUNCT
ejpam-4168	995	2	.........	.........	PUNCT
ejpam-4168	996	1	........	........	PUNCT
ejpam-4168	996	2	........	........	PUNCT
ejpam-4168	996	3	........	........	PUNCT
ejpam-4168	996	4	........	........	PUNCT
ejpam-4168	997	1	......	......	PUNCT
ejpam-4168	997	2	....................................	....................................	PUNCT
ejpam-4168	998	1	.........	.........	PUNCT
ejpam-4168	998	2	........	........	PUNCT
ejpam-4168	998	3	........	........	PUNCT
ejpam-4168	998	4	........	........	PUNCT
ejpam-4168	999	1	........	........	PUNCT
ejpam-4168	999	2	......	......	PUNCT
ejpam-4168	1000	1	....................................	....................................	PUNCT
ejpam-4168	1000	2	.........	.........	PUNCT
ejpam-4168	1001	1	........	........	PUNCT
ejpam-4168	1001	2	........	........	PUNCT
ejpam-4168	1001	3	........	........	PUNCT
ejpam-4168	1001	4	........	........	PUNCT
ejpam-4168	1002	1	......	......	PUNCT
ejpam-4168	1002	2	....................................	....................................	PUNCT
ejpam-4168	1003	1	....................................	....................................	PUNCT
ejpam-4168	1003	2	.........	.........	PUNCT
ejpam-4168	1003	3	........	........	PUNCT
ejpam-4168	1003	4	........	........	PUNCT
ejpam-4168	1003	5	........	........	PUNCT
ejpam-4168	1003	6	........	........	PUNCT
ejpam-4168	1004	1	......	......	PUNCT
ejpam-4168	1004	2	....................................	....................................	PUNCT
ejpam-4168	1005	1	.........	.........	PUNCT
ejpam-4168	1005	2	........	........	PUNCT
ejpam-4168	1005	3	........	........	PUNCT
ejpam-4168	1005	4	........	........	PUNCT
ejpam-4168	1006	1	........	........	PUNCT
ejpam-4168	1006	2	......	......	PUNCT
ejpam-4168	1007	1	....................................	....................................	PUNCT
ejpam-4168	1007	2	.........	.........	PUNCT
ejpam-4168	1008	1	........	........	PUNCT
ejpam-4168	1008	2	........	........	PUNCT
ejpam-4168	1008	3	........	........	PUNCT
ejpam-4168	1008	4	........	........	PUNCT
ejpam-4168	1009	1	......	......	PUNCT
ejpam-4168	1009	2	....................................	....................................	PUNCT
ejpam-4168	1010	1	.........	.........	PUNCT
ejpam-4168	1010	2	........	........	PUNCT
ejpam-4168	1010	3	........	........	PUNCT
ejpam-4168	1010	4	........	........	PUNCT
ejpam-4168	1011	1	........	........	PUNCT
ejpam-4168	1011	2	......	......	PUNCT
ejpam-4168	1012	1	....................................	....................................	PUNCT
ejpam-4168	1012	2	.........	.........	PUNCT
ejpam-4168	1013	1	........	........	PUNCT
ejpam-4168	1013	2	........	........	PUNCT
ejpam-4168	1013	3	........	........	PUNCT
ejpam-4168	1013	4	........	........	PUNCT
ejpam-4168	1014	1	......	......	PUNCT
ejpam-4168	1014	2	....................................	....................................	PUNCT
ejpam-4168	1015	1	....................................	....................................	PUNCT
ejpam-4168	1015	2	.........	.........	PUNCT
ejpam-4168	1015	3	........	........	PUNCT
ejpam-4168	1015	4	........	........	PUNCT
ejpam-4168	1015	5	........	........	PUNCT
ejpam-4168	1015	6	........	........	PUNCT
ejpam-4168	1016	1	......	......	PUNCT
ejpam-4168	1016	2	....................................	....................................	PUNCT
ejpam-4168	1017	1	.........	.........	PUNCT
ejpam-4168	1017	2	........	........	PUNCT
ejpam-4168	1017	3	........	........	PUNCT
ejpam-4168	1017	4	........	........	PUNCT
ejpam-4168	1018	1	........	........	PUNCT
ejpam-4168	1018	2	......	......	PUNCT
ejpam-4168	1019	1	....................................	....................................	PUNCT
ejpam-4168	1019	2	.........	.........	PUNCT
ejpam-4168	1020	1	........	........	PUNCT
ejpam-4168	1020	2	........	........	PUNCT
ejpam-4168	1020	3	........	........	PUNCT
ejpam-4168	1020	4	........	........	PUNCT
ejpam-4168	1021	1	......	......	PUNCT
ejpam-4168	1021	2	....................................	....................................	PUNCT
ejpam-4168	1022	1	.........	.........	PUNCT
ejpam-4168	1022	2	........	........	PUNCT
ejpam-4168	1022	3	........	........	PUNCT
ejpam-4168	1022	4	........	........	PUNCT
ejpam-4168	1023	1	........	........	PUNCT
ejpam-4168	1023	2	......	......	PUNCT
ejpam-4168	1024	1	....................................	....................................	PUNCT
ejpam-4168	1024	2	.........	.........	PUNCT
ejpam-4168	1025	1	........	........	PUNCT
ejpam-4168	1025	2	........	........	PUNCT
ejpam-4168	1025	3	........	........	PUNCT
ejpam-4168	1025	4	........	........	PUNCT
ejpam-4168	1026	1	......	......	PUNCT
ejpam-4168	1026	2	....................................	....................................	PUNCT
ejpam-4168	1027	1	....................................	....................................	PUNCT
ejpam-4168	1027	2	.........	.........	PUNCT
ejpam-4168	1027	3	........	........	PUNCT
ejpam-4168	1027	4	........	........	PUNCT
ejpam-4168	1027	5	........	........	PUNCT
ejpam-4168	1027	6	........	........	PUNCT
ejpam-4168	1028	1	......	......	PUNCT
ejpam-4168	1028	2	....................................	....................................	PUNCT
ejpam-4168	1029	1	.........	.........	PUNCT
ejpam-4168	1029	2	........	........	PUNCT
ejpam-4168	1029	3	........	........	PUNCT
ejpam-4168	1029	4	........	........	PUNCT
ejpam-4168	1030	1	........	........	PUNCT
ejpam-4168	1030	2	......	......	PUNCT
ejpam-4168	1031	1	....................................	....................................	PUNCT
ejpam-4168	1031	2	.........	.........	PUNCT
ejpam-4168	1032	1	........	........	PUNCT
ejpam-4168	1032	2	........	........	PUNCT
ejpam-4168	1032	3	........	........	PUNCT
ejpam-4168	1032	4	........	........	PUNCT
ejpam-4168	1033	1	......	......	PUNCT
ejpam-4168	1033	2	....................................	....................................	PUNCT
ejpam-4168	1034	1	....................................	....................................	PUNCT
ejpam-4168	1034	2	.........	.........	PUNCT
ejpam-4168	1034	3	........	........	PUNCT
ejpam-4168	1034	4	........	........	PUNCT
ejpam-4168	1034	5	........	........	PUNCT
ejpam-4168	1034	6	........	........	PUNCT
ejpam-4168	1035	1	......	......	PUNCT
ejpam-4168	1035	2	....................................	....................................	PUNCT
ejpam-4168	1036	1	.........	.........	PUNCT
ejpam-4168	1036	2	........	........	PUNCT
ejpam-4168	1036	3	........	........	PUNCT
ejpam-4168	1036	4	........	........	PUNCT
ejpam-4168	1037	1	........	........	PUNCT
ejpam-4168	1037	2	......	......	PUNCT
ejpam-4168	1038	1	....................................	....................................	PUNCT
ejpam-4168	1038	2	.........	.........	PUNCT
ejpam-4168	1039	1	........	........	PUNCT
ejpam-4168	1039	2	........	........	PUNCT
ejpam-4168	1039	3	........	........	PUNCT
ejpam-4168	1039	4	........	........	PUNCT
ejpam-4168	1040	1	......	......	PUNCT
ejpam-4168	1040	2	....................................	....................................	PUNCT
ejpam-4168	1041	1	....................................	....................................	PUNCT
ejpam-4168	1041	2	.........	.........	PUNCT
ejpam-4168	1041	3	........	........	PUNCT
ejpam-4168	1041	4	........	........	PUNCT
ejpam-4168	1041	5	........	........	PUNCT
ejpam-4168	1041	6	........	........	PUNCT
ejpam-4168	1042	1	......	......	PUNCT
ejpam-4168	1042	2	....................................	....................................	PUNCT
ejpam-4168	1043	1	.........	.........	PUNCT
ejpam-4168	1043	2	........	........	PUNCT
ejpam-4168	1043	3	........	........	PUNCT
ejpam-4168	1043	4	........	........	PUNCT
ejpam-4168	1044	1	........	........	PUNCT
ejpam-4168	1044	2	......	......	PUNCT
ejpam-4168	1045	1	....................................	....................................	PUNCT
ejpam-4168	1045	2	.........	.........	PUNCT
ejpam-4168	1046	1	........	........	PUNCT
ejpam-4168	1046	2	........	........	PUNCT
ejpam-4168	1046	3	........	........	PUNCT
ejpam-4168	1046	4	........	........	PUNCT
ejpam-4168	1047	1	......	......	PUNCT
ejpam-4168	1047	2	....................................	....................................	PUNCT
ejpam-4168	1048	1	....................................	....................................	PUNCT
ejpam-4168	1048	2	.........	.........	PUNCT
ejpam-4168	1048	3	........	........	PUNCT
ejpam-4168	1048	4	........	........	PUNCT
ejpam-4168	1048	5	........	........	PUNCT
ejpam-4168	1048	6	........	........	PUNCT
ejpam-4168	1049	1	......	......	PUNCT
ejpam-4168	1049	2	....................................	....................................	PUNCT
ejpam-4168	1050	1	.........	.........	PUNCT
ejpam-4168	1050	2	........	........	PUNCT
ejpam-4168	1050	3	........	........	PUNCT
ejpam-4168	1050	4	........	........	PUNCT
ejpam-4168	1051	1	........	........	PUNCT
ejpam-4168	1051	2	......	......	PUNCT
ejpam-4168	1052	1	....................................	....................................	PUNCT
ejpam-4168	1052	2	.........	.........	PUNCT
ejpam-4168	1053	1	........	........	PUNCT
ejpam-4168	1053	2	........	........	PUNCT
ejpam-4168	1053	3	........	........	PUNCT
ejpam-4168	1053	4	........	........	PUNCT
ejpam-4168	1054	1	......	......	PUNCT
ejpam-4168	1054	2	....................................	....................................	PUNCT
ejpam-4168	1055	1	....................................	....................................	PUNCT
ejpam-4168	1055	2	.........	.........	PUNCT
ejpam-4168	1055	3	........	........	PUNCT
ejpam-4168	1055	4	........	........	PUNCT
ejpam-4168	1055	5	........	........	PUNCT
ejpam-4168	1055	6	........	........	PUNCT
ejpam-4168	1056	1	......	......	PUNCT
ejpam-4168	1056	2	....................................	....................................	PUNCT
ejpam-4168	1057	1	.........	.........	PUNCT
ejpam-4168	1057	2	........	........	PUNCT
ejpam-4168	1057	3	........	........	PUNCT
ejpam-4168	1057	4	........	........	PUNCT
ejpam-4168	1058	1	........	........	PUNCT
ejpam-4168	1058	2	......	......	PUNCT
ejpam-4168	1059	1	....................................	....................................	PUNCT
ejpam-4168	1059	2	.........	.........	PUNCT
ejpam-4168	1060	1	........	........	PUNCT
ejpam-4168	1060	2	........	........	PUNCT
ejpam-4168	1060	3	........	........	PUNCT
ejpam-4168	1060	4	........	........	PUNCT
ejpam-4168	1061	1	......	......	PUNCT
ejpam-4168	1061	2	....................................	....................................	PUNCT
ejpam-4168	1062	1	....................................	....................................	PUNCT
ejpam-4168	1062	2	.........	.........	PUNCT
ejpam-4168	1062	3	........	........	PUNCT
ejpam-4168	1062	4	........	........	PUNCT
ejpam-4168	1062	5	........	........	PUNCT
ejpam-4168	1062	6	........	........	PUNCT
ejpam-4168	1063	1	......	......	PUNCT
ejpam-4168	1063	2	....................................	....................................	PUNCT
ejpam-4168	1064	1	.........	.........	PUNCT
ejpam-4168	1064	2	........	........	PUNCT
ejpam-4168	1064	3	........	........	PUNCT
ejpam-4168	1064	4	........	........	PUNCT
ejpam-4168	1065	1	........	........	PUNCT
ejpam-4168	1065	2	......	......	PUNCT
ejpam-4168	1066	1	....................................	....................................	PUNCT
ejpam-4168	1066	2	.........	.........	PUNCT
ejpam-4168	1067	1	........	........	PUNCT
ejpam-4168	1067	2	........	........	PUNCT
ejpam-4168	1067	3	........	........	PUNCT
ejpam-4168	1067	4	........	........	PUNCT
ejpam-4168	1068	1	......	......	PUNCT
ejpam-4168	1068	2	....................................	....................................	PUNCT
ejpam-4168	1068	3	....................................	....................................	PUNCT
ejpam-4168	1069	1	••	••	NOUN
ejpam-4168	1069	2	••	••	NOUN
ejpam-4168	1069	3	•	•	NUM
ejpam-4168	1069	4	•	•	NOUN
ejpam-4168	1069	5	•	•	NUM
ejpam-4168	1069	6	p6	p6	PROPN
ejpam-4168	1069	7	□	□	SYM
ejpam-4168	1069	8	p3p4	p3p4	NOUN
ejpam-4168	1069	9	□	□	PUNCT
ejpam-4168	1069	10	p6	p6	ADJ
ejpam-4168	1069	11	figure	figure	NOUN
ejpam-4168	1069	12	13	13	NUM
ejpam-4168	1069	13	:	:	PUNCT
ejpam-4168	1069	14	the	the	DET
ejpam-4168	1069	15	graphs	graph	NOUN
ejpam-4168	1069	16	p4	p4	ADJ
ejpam-4168	1069	17	□	□	PUNCT
ejpam-4168	1069	18	p6	p6	ADJ
ejpam-4168	1069	19	and	and	CCONJ
ejpam-4168	1069	20	p6	p6	PROPN
ejpam-4168	1069	21	□	□	PROPN
ejpam-4168	1069	22	p3	p3	PROPN
ejpam-4168	1069	23	with	with	ADP
ejpam-4168	1069	24	∂cα(p4	∂cα(p4	NOUN
ejpam-4168	1069	25	□	□	NOUN
ejpam-4168	1069	26	p6	p6	ADJ
ejpam-4168	1069	27	)	)	PUNCT
ejpam-4168	1069	28	=	=	SYM
ejpam-4168	1069	29	4	4	NUM
ejpam-4168	1069	30	and	and	CCONJ
ejpam-4168	1069	31	∂cα(p6	∂cα(p6	NOUN
ejpam-4168	1069	32	□	□	NOUN
ejpam-4168	1069	33	p3	p3	NOUN
ejpam-4168	1069	34	)	)	PUNCT
ejpam-4168	1069	35	=	=	SYM
ejpam-4168	1069	36	3	3	NUM
ejpam-4168	1069	37	,	,	PUNCT
ejpam-4168	1069	38	where	where	SCONJ
ejpam-4168	1069	39	α	α	NOUN
ejpam-4168	1069	40	=	=	NOUN
ejpam-4168	1069	41	1	1	NUM
ejpam-4168	1069	42	2	2	NUM
ejpam-4168	1069	43	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	44	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	45	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	46	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	47	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	48	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	49	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	50	....................................	....................................	PUNCT
ejpam-4168	1069	51	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	52	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	53	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	54	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	55	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	56	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	57	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	58	....................................	....................................	PUNCT
ejpam-4168	1069	59	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	60	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	61	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	62	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	63	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	64	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	65	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	66	....................................	....................................	PUNCT
ejpam-4168	1069	67	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	68	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	69	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	70	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	71	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	72	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	73	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	74	....................................	....................................	PUNCT
ejpam-4168	1069	75	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	76	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	77	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	78	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	79	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	80	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	81	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	82	....................................	....................................	PUNCT
ejpam-4168	1069	83	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	84	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	85	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	86	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	87	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	88	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	89	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	90	....................................	....................................	PUNCT
ejpam-4168	1069	91	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	92	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	93	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	94	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	95	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	96	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1069	97	...................................................................................	...................................................................................	PUNCT
ejpam-4168	1070	1	....................................	....................................	PUNCT
ejpam-4168	1070	2	.........	.........	PUNCT
ejpam-4168	1070	3	........	........	PUNCT
ejpam-4168	1070	4	........	........	PUNCT
ejpam-4168	1070	5	........	........	PUNCT
ejpam-4168	1070	6	........	........	PUNCT
ejpam-4168	1071	1	......	......	PUNCT
ejpam-4168	1071	2	....................................	....................................	PUNCT
ejpam-4168	1072	1	.........	.........	PUNCT
ejpam-4168	1072	2	........	........	PUNCT
ejpam-4168	1072	3	........	........	PUNCT
ejpam-4168	1072	4	........	........	PUNCT
ejpam-4168	1073	1	........	........	PUNCT
ejpam-4168	1073	2	......	......	PUNCT
ejpam-4168	1074	1	....................................	....................................	PUNCT
ejpam-4168	1074	2	.........	.........	PUNCT
ejpam-4168	1075	1	........	........	PUNCT
ejpam-4168	1075	2	........	........	PUNCT
ejpam-4168	1075	3	........	........	PUNCT
ejpam-4168	1075	4	........	........	PUNCT
ejpam-4168	1076	1	......	......	PUNCT
ejpam-4168	1076	2	....................................	....................................	PUNCT
ejpam-4168	1077	1	.........	.........	PUNCT
ejpam-4168	1077	2	........	........	PUNCT
ejpam-4168	1077	3	........	........	PUNCT
ejpam-4168	1077	4	........	........	PUNCT
ejpam-4168	1078	1	........	........	PUNCT
ejpam-4168	1078	2	......	......	PUNCT
ejpam-4168	1079	1	....................................	....................................	PUNCT
ejpam-4168	1079	2	.........	.........	PUNCT
ejpam-4168	1080	1	........	........	PUNCT
ejpam-4168	1080	2	........	........	PUNCT
ejpam-4168	1080	3	........	........	PUNCT
ejpam-4168	1080	4	........	........	PUNCT
ejpam-4168	1081	1	......	......	PUNCT
ejpam-4168	1081	2	....................................	....................................	PUNCT
ejpam-4168	1082	1	.........	.........	PUNCT
ejpam-4168	1082	2	........	........	PUNCT
ejpam-4168	1082	3	........	........	PUNCT
ejpam-4168	1082	4	........	........	PUNCT
ejpam-4168	1082	5	........	........	PUNCT
ejpam-4168	1083	1	......	......	PUNCT
ejpam-4168	1083	2	....................................	....................................	PUNCT
ejpam-4168	1084	1	....................................	....................................	PUNCT
ejpam-4168	1084	2	.........	.........	PUNCT
ejpam-4168	1084	3	........	........	PUNCT
ejpam-4168	1084	4	........	........	PUNCT
ejpam-4168	1084	5	........	........	PUNCT
ejpam-4168	1084	6	........	........	PUNCT
ejpam-4168	1085	1	......	......	PUNCT
ejpam-4168	1085	2	....................................	....................................	PUNCT
ejpam-4168	1086	1	.........	.........	PUNCT
ejpam-4168	1086	2	........	........	PUNCT
ejpam-4168	1086	3	........	........	PUNCT
ejpam-4168	1086	4	........	........	PUNCT
ejpam-4168	1087	1	........	........	PUNCT
ejpam-4168	1087	2	......	......	PUNCT
ejpam-4168	1088	1	....................................	....................................	PUNCT
ejpam-4168	1088	2	.........	.........	PUNCT
ejpam-4168	1089	1	........	........	PUNCT
ejpam-4168	1089	2	........	........	PUNCT
ejpam-4168	1089	3	........	........	PUNCT
ejpam-4168	1089	4	........	........	PUNCT
ejpam-4168	1090	1	......	......	PUNCT
ejpam-4168	1090	2	....................................	....................................	PUNCT
ejpam-4168	1091	1	.........	.........	PUNCT
ejpam-4168	1091	2	........	........	PUNCT
ejpam-4168	1091	3	........	........	PUNCT
ejpam-4168	1091	4	........	........	PUNCT
ejpam-4168	1092	1	........	........	PUNCT
ejpam-4168	1092	2	......	......	PUNCT
ejpam-4168	1093	1	....................................	....................................	PUNCT
ejpam-4168	1093	2	.........	.........	PUNCT
ejpam-4168	1094	1	........	........	PUNCT
ejpam-4168	1094	2	........	........	PUNCT
ejpam-4168	1094	3	........	........	PUNCT
ejpam-4168	1094	4	........	........	PUNCT
ejpam-4168	1095	1	......	......	PUNCT
ejpam-4168	1095	2	....................................	....................................	PUNCT
ejpam-4168	1096	1	.........	.........	PUNCT
ejpam-4168	1096	2	........	........	PUNCT
ejpam-4168	1096	3	........	........	PUNCT
ejpam-4168	1096	4	........	........	PUNCT
ejpam-4168	1096	5	........	........	PUNCT
ejpam-4168	1097	1	......	......	PUNCT
ejpam-4168	1097	2	....................................	....................................	PUNCT
ejpam-4168	1098	1	....................................	....................................	PUNCT
ejpam-4168	1098	2	.........	.........	PUNCT
ejpam-4168	1098	3	........	........	PUNCT
ejpam-4168	1098	4	........	........	PUNCT
ejpam-4168	1098	5	........	........	PUNCT
ejpam-4168	1098	6	........	........	PUNCT
ejpam-4168	1099	1	......	......	PUNCT
ejpam-4168	1099	2	....................................	....................................	PUNCT
ejpam-4168	1100	1	.........	.........	PUNCT
ejpam-4168	1100	2	........	........	PUNCT
ejpam-4168	1100	3	........	........	PUNCT
ejpam-4168	1100	4	........	........	PUNCT
ejpam-4168	1101	1	........	........	PUNCT
ejpam-4168	1101	2	......	......	PUNCT
ejpam-4168	1102	1	....................................	....................................	PUNCT
ejpam-4168	1102	2	.........	.........	PUNCT
ejpam-4168	1103	1	........	........	PUNCT
ejpam-4168	1103	2	........	........	PUNCT
ejpam-4168	1103	3	........	........	PUNCT
ejpam-4168	1103	4	........	........	PUNCT
ejpam-4168	1104	1	......	......	PUNCT
ejpam-4168	1104	2	....................................	....................................	PUNCT
ejpam-4168	1105	1	.........	.........	PUNCT
ejpam-4168	1105	2	........	........	PUNCT
ejpam-4168	1105	3	........	........	PUNCT
ejpam-4168	1105	4	........	........	PUNCT
ejpam-4168	1106	1	........	........	PUNCT
ejpam-4168	1106	2	......	......	PUNCT
ejpam-4168	1107	1	....................................	....................................	PUNCT
ejpam-4168	1107	2	.........	.........	PUNCT
ejpam-4168	1108	1	........	........	PUNCT
ejpam-4168	1108	2	........	........	PUNCT
ejpam-4168	1108	3	........	........	PUNCT
ejpam-4168	1108	4	........	........	PUNCT
ejpam-4168	1109	1	......	......	PUNCT
ejpam-4168	1109	2	....................................	....................................	PUNCT
ejpam-4168	1110	1	.........	.........	PUNCT
ejpam-4168	1110	2	........	........	PUNCT
ejpam-4168	1110	3	........	........	PUNCT
ejpam-4168	1110	4	........	........	PUNCT
ejpam-4168	1110	5	........	........	PUNCT
ejpam-4168	1111	1	......	......	PUNCT
ejpam-4168	1111	2	....................................	....................................	PUNCT
ejpam-4168	1112	1	....................................	....................................	PUNCT
ejpam-4168	1112	2	.........	.........	PUNCT
ejpam-4168	1112	3	........	........	PUNCT
ejpam-4168	1112	4	........	........	PUNCT
ejpam-4168	1112	5	........	........	PUNCT
ejpam-4168	1112	6	........	........	PUNCT
ejpam-4168	1113	1	......	......	PUNCT
ejpam-4168	1113	2	....................................	....................................	PUNCT
ejpam-4168	1114	1	.........	.........	PUNCT
ejpam-4168	1114	2	........	........	PUNCT
ejpam-4168	1114	3	........	........	PUNCT
ejpam-4168	1114	4	........	........	PUNCT
ejpam-4168	1115	1	........	........	PUNCT
ejpam-4168	1115	2	......	......	PUNCT
ejpam-4168	1116	1	....................................	....................................	PUNCT
ejpam-4168	1116	2	.........	.........	PUNCT
ejpam-4168	1117	1	........	........	PUNCT
ejpam-4168	1117	2	........	........	PUNCT
ejpam-4168	1117	3	........	........	PUNCT
ejpam-4168	1117	4	........	........	PUNCT
ejpam-4168	1118	1	......	......	PUNCT
ejpam-4168	1118	2	....................................	....................................	PUNCT
ejpam-4168	1119	1	.........	.........	PUNCT
ejpam-4168	1119	2	........	........	PUNCT
ejpam-4168	1119	3	........	........	PUNCT
ejpam-4168	1119	4	........	........	PUNCT
ejpam-4168	1120	1	........	........	PUNCT
ejpam-4168	1120	2	......	......	PUNCT
ejpam-4168	1121	1	....................................	....................................	PUNCT
ejpam-4168	1121	2	.........	.........	PUNCT
ejpam-4168	1122	1	........	........	PUNCT
ejpam-4168	1122	2	........	........	PUNCT
ejpam-4168	1122	3	........	........	PUNCT
ejpam-4168	1122	4	........	........	PUNCT
ejpam-4168	1123	1	......	......	PUNCT
ejpam-4168	1123	2	....................................	....................................	PUNCT
ejpam-4168	1124	1	.........	.........	PUNCT
ejpam-4168	1124	2	........	........	PUNCT
ejpam-4168	1124	3	........	........	PUNCT
ejpam-4168	1124	4	........	........	PUNCT
ejpam-4168	1124	5	........	........	PUNCT
ejpam-4168	1125	1	......	......	PUNCT
ejpam-4168	1125	2	....................................	....................................	PUNCT
ejpam-4168	1126	1	....................................	....................................	PUNCT
ejpam-4168	1126	2	.........	.........	PUNCT
ejpam-4168	1126	3	........	........	PUNCT
ejpam-4168	1126	4	........	........	PUNCT
ejpam-4168	1126	5	........	........	PUNCT
ejpam-4168	1126	6	........	........	PUNCT
ejpam-4168	1127	1	......	......	PUNCT
ejpam-4168	1127	2	....................................	....................................	PUNCT
ejpam-4168	1128	1	.........	.........	PUNCT
ejpam-4168	1128	2	........	........	PUNCT
ejpam-4168	1128	3	........	........	PUNCT
ejpam-4168	1128	4	........	........	PUNCT
ejpam-4168	1129	1	........	........	PUNCT
ejpam-4168	1129	2	......	......	PUNCT
ejpam-4168	1130	1	....................................	....................................	PUNCT
ejpam-4168	1130	2	.........	.........	PUNCT
ejpam-4168	1131	1	........	........	PUNCT
ejpam-4168	1131	2	........	........	PUNCT
ejpam-4168	1131	3	........	........	PUNCT
ejpam-4168	1131	4	........	........	PUNCT
ejpam-4168	1132	1	......	......	PUNCT
ejpam-4168	1132	2	....................................	....................................	PUNCT
ejpam-4168	1133	1	.........	.........	PUNCT
ejpam-4168	1133	2	........	........	PUNCT
ejpam-4168	1133	3	........	........	PUNCT
ejpam-4168	1133	4	........	........	PUNCT
ejpam-4168	1134	1	........	........	PUNCT
ejpam-4168	1134	2	......	......	PUNCT
ejpam-4168	1135	1	....................................	....................................	PUNCT
ejpam-4168	1135	2	.........	.........	PUNCT
ejpam-4168	1136	1	........	........	PUNCT
ejpam-4168	1136	2	........	........	PUNCT
ejpam-4168	1136	3	........	........	PUNCT
ejpam-4168	1136	4	........	........	PUNCT
ejpam-4168	1137	1	......	......	PUNCT
ejpam-4168	1137	2	....................................	....................................	PUNCT
ejpam-4168	1138	1	.........	.........	PUNCT
ejpam-4168	1138	2	........	........	PUNCT
ejpam-4168	1138	3	........	........	PUNCT
ejpam-4168	1138	4	........	........	PUNCT
ejpam-4168	1138	5	........	........	PUNCT
ejpam-4168	1139	1	......	......	PUNCT
ejpam-4168	1139	2	....................................	....................................	PUNCT
ejpam-4168	1140	1	....................................	....................................	PUNCT
ejpam-4168	1140	2	.........	.........	PUNCT
ejpam-4168	1140	3	........	........	PUNCT
ejpam-4168	1140	4	........	........	PUNCT
ejpam-4168	1140	5	........	........	PUNCT
ejpam-4168	1140	6	........	........	PUNCT
ejpam-4168	1141	1	......	......	PUNCT
ejpam-4168	1141	2	....................................	....................................	PUNCT
ejpam-4168	1142	1	.........	.........	PUNCT
ejpam-4168	1142	2	........	........	PUNCT
ejpam-4168	1142	3	........	........	PUNCT
ejpam-4168	1142	4	........	........	PUNCT
ejpam-4168	1143	1	........	........	PUNCT
ejpam-4168	1143	2	......	......	PUNCT
ejpam-4168	1144	1	....................................	....................................	PUNCT
ejpam-4168	1144	2	.........	.........	PUNCT
ejpam-4168	1145	1	........	........	PUNCT
ejpam-4168	1145	2	........	........	PUNCT
ejpam-4168	1145	3	........	........	PUNCT
ejpam-4168	1145	4	........	........	PUNCT
ejpam-4168	1146	1	......	......	PUNCT
ejpam-4168	1146	2	....................................	....................................	PUNCT
ejpam-4168	1147	1	.........	.........	PUNCT
ejpam-4168	1147	2	........	........	PUNCT
ejpam-4168	1147	3	........	........	PUNCT
ejpam-4168	1147	4	........	........	PUNCT
ejpam-4168	1148	1	........	........	PUNCT
ejpam-4168	1148	2	......	......	PUNCT
ejpam-4168	1149	1	....................................	....................................	PUNCT
ejpam-4168	1149	2	.........	.........	PUNCT
ejpam-4168	1150	1	........	........	PUNCT
ejpam-4168	1150	2	........	........	PUNCT
ejpam-4168	1150	3	........	........	PUNCT
ejpam-4168	1150	4	........	........	PUNCT
ejpam-4168	1151	1	......	......	PUNCT
ejpam-4168	1151	2	....................................	....................................	PUNCT
ejpam-4168	1152	1	.........	.........	PUNCT
ejpam-4168	1152	2	........	........	PUNCT
ejpam-4168	1152	3	........	........	PUNCT
ejpam-4168	1152	4	........	........	PUNCT
ejpam-4168	1152	5	........	........	PUNCT
ejpam-4168	1153	1	......	......	PUNCT
ejpam-4168	1153	2	....................................	....................................	PUNCT
ejpam-4168	1154	1	....................................	....................................	PUNCT
ejpam-4168	1154	2	.........	.........	PUNCT
ejpam-4168	1154	3	........	........	PUNCT
ejpam-4168	1154	4	........	........	PUNCT
ejpam-4168	1154	5	........	........	PUNCT
ejpam-4168	1154	6	........	........	PUNCT
ejpam-4168	1155	1	......	......	PUNCT
ejpam-4168	1155	2	....................................	....................................	PUNCT
ejpam-4168	1156	1	.........	.........	PUNCT
ejpam-4168	1156	2	........	........	PUNCT
ejpam-4168	1156	3	........	........	PUNCT
ejpam-4168	1156	4	........	........	PUNCT
ejpam-4168	1157	1	........	........	PUNCT
ejpam-4168	1157	2	......	......	PUNCT
ejpam-4168	1158	1	....................................	....................................	PUNCT
ejpam-4168	1158	2	.........	.........	PUNCT
ejpam-4168	1159	1	........	........	PUNCT
ejpam-4168	1159	2	........	........	PUNCT
ejpam-4168	1159	3	........	........	PUNCT
ejpam-4168	1159	4	........	........	PUNCT
ejpam-4168	1160	1	......	......	PUNCT
ejpam-4168	1160	2	....................................	....................................	PUNCT
ejpam-4168	1161	1	.........	.........	PUNCT
ejpam-4168	1161	2	........	........	PUNCT
ejpam-4168	1161	3	........	........	PUNCT
ejpam-4168	1161	4	........	........	PUNCT
ejpam-4168	1162	1	........	........	PUNCT
ejpam-4168	1162	2	......	......	PUNCT
ejpam-4168	1163	1	....................................	....................................	PUNCT
ejpam-4168	1163	2	.........	.........	PUNCT
ejpam-4168	1164	1	........	........	PUNCT
ejpam-4168	1164	2	........	........	PUNCT
ejpam-4168	1164	3	........	........	PUNCT
ejpam-4168	1164	4	........	........	PUNCT
ejpam-4168	1165	1	......	......	PUNCT
ejpam-4168	1165	2	....................................	....................................	PUNCT
ejpam-4168	1166	1	.........	.........	PUNCT
ejpam-4168	1166	2	........	........	PUNCT
ejpam-4168	1166	3	........	........	PUNCT
ejpam-4168	1166	4	........	........	PUNCT
ejpam-4168	1166	5	........	........	PUNCT
ejpam-4168	1167	1	......	......	PUNCT
ejpam-4168	1167	2	....................................	....................................	PUNCT
ejpam-4168	1168	1	....................................	....................................	PUNCT
ejpam-4168	1168	2	.........	.........	PUNCT
ejpam-4168	1168	3	........	........	PUNCT
ejpam-4168	1168	4	........	........	PUNCT
ejpam-4168	1168	5	........	........	PUNCT
ejpam-4168	1168	6	........	........	PUNCT
ejpam-4168	1169	1	......	......	PUNCT
ejpam-4168	1169	2	....................................	....................................	PUNCT
ejpam-4168	1170	1	.........	.........	PUNCT
ejpam-4168	1170	2	........	........	PUNCT
ejpam-4168	1170	3	........	........	PUNCT
ejpam-4168	1170	4	........	........	PUNCT
ejpam-4168	1171	1	........	........	PUNCT
ejpam-4168	1171	2	......	......	PUNCT
ejpam-4168	1172	1	....................................	....................................	PUNCT
ejpam-4168	1172	2	.........	.........	PUNCT
ejpam-4168	1173	1	........	........	PUNCT
ejpam-4168	1173	2	........	........	PUNCT
ejpam-4168	1173	3	........	........	PUNCT
ejpam-4168	1173	4	........	........	PUNCT
ejpam-4168	1174	1	......	......	PUNCT
ejpam-4168	1174	2	....................................	....................................	PUNCT
ejpam-4168	1175	1	.........	.........	PUNCT
ejpam-4168	1175	2	........	........	PUNCT
ejpam-4168	1175	3	........	........	PUNCT
ejpam-4168	1175	4	........	........	PUNCT
ejpam-4168	1176	1	........	........	PUNCT
ejpam-4168	1176	2	......	......	PUNCT
ejpam-4168	1177	1	....................................	....................................	PUNCT
ejpam-4168	1177	2	.........	.........	PUNCT
ejpam-4168	1178	1	........	........	PUNCT
ejpam-4168	1178	2	........	........	PUNCT
ejpam-4168	1178	3	........	........	PUNCT
ejpam-4168	1178	4	........	........	PUNCT
ejpam-4168	1179	1	......	......	PUNCT
ejpam-4168	1179	2	....................................	....................................	PUNCT
ejpam-4168	1180	1	.........	.........	PUNCT
ejpam-4168	1180	2	........	........	PUNCT
ejpam-4168	1180	3	........	........	PUNCT
ejpam-4168	1180	4	........	........	PUNCT
ejpam-4168	1180	5	........	........	PUNCT
ejpam-4168	1181	1	......	......	PUNCT
ejpam-4168	1181	2	....................................	....................................	PUNCT
ejpam-4168	1182	1	....................................	....................................	PUNCT
ejpam-4168	1183	1	•	•	NUM
ejpam-4168	1183	2	•	•	NUM
ejpam-4168	1183	3	•	•	NUM
ejpam-4168	1183	4	•	•	NUM
ejpam-4168	1183	5	•	•	NUM
ejpam-4168	1183	6	•	•	NUM
ejpam-4168	1183	7	•	•	NUM
ejpam-4168	1183	8	•	•	NUM
ejpam-4168	1183	9	•	•	NOUN
ejpam-4168	1183	10	•	•	NOUN
ejpam-4168	1183	11	p7	p7	ADJ
ejpam-4168	1183	12	□	□	NUM
ejpam-4168	1183	13	p8	p8	ADJ
ejpam-4168	1183	14	figure	figure	NOUN
ejpam-4168	1183	15	14	14	NUM
ejpam-4168	1183	16	:	:	PUNCT
ejpam-4168	1183	17	the	the	DET
ejpam-4168	1183	18	graph	graph	NOUN
ejpam-4168	1183	19	p7	p7	VERB
ejpam-4168	1183	20	□	□	PROPN
ejpam-4168	1183	21	p8	p8	NOUN
ejpam-4168	1183	22	with	with	ADP
ejpam-4168	1183	23	∂cα(p7	∂cα(p7	NOUN
ejpam-4168	1183	24	□	□	X
ejpam-4168	1183	25	p8	p8	NOUN
ejpam-4168	1183	26	)	)	PUNCT
ejpam-4168	1183	27	=	=	SYM
ejpam-4168	1183	28	10	10	NUM
ejpam-4168	1183	29	,	,	PUNCT
ejpam-4168	1183	30	where	where	SCONJ
ejpam-4168	1183	31	α	α	NOUN
ejpam-4168	1183	32	=	=	NOUN
ejpam-4168	1183	33	1	1	NUM
ejpam-4168	1183	34	2	2	NUM
ejpam-4168	1183	35	acknowledgements	acknowledgement	NOUN
ejpam-4168	1183	36	this	this	DET
ejpam-4168	1183	37	research	research	NOUN
ejpam-4168	1183	38	is	be	AUX
ejpam-4168	1183	39	funded	fund	VERB
ejpam-4168	1183	40	by	by	ADP
ejpam-4168	1183	41	the	the	DET
ejpam-4168	1183	42	philippine	philippine	PROPN
ejpam-4168	1183	43	department	department	PROPN
ejpam-4168	1183	44	of	of	ADP
ejpam-4168	1183	45	science	science	NOUN
ejpam-4168	1183	46	and	and	CCONJ
ejpam-4168	1183	47	technology	technology	NOUN
ejpam-4168	1183	48	accelerated	accelerate	VERB
ejpam-4168	1183	49	science	science	NOUN
ejpam-4168	1183	50	and	and	CCONJ
ejpam-4168	1183	51	technology	technology	NOUN
ejpam-4168	1183	52	human	human	ADJ
ejpam-4168	1183	53	resource	resource	NOUN
ejpam-4168	1183	54	development	development	NOUN
ejpam-4168	1183	55	program	program	NOUN
ejpam-4168	1183	56	(	(	PUNCT
ejpam-4168	1183	57	dostasthrdp	dostasthrdp	PROPN
ejpam-4168	1183	58	)	)	PUNCT
ejpam-4168	1183	59	,	,	PUNCT
ejpam-4168	1183	60	and	and	CCONJ
ejpam-4168	1183	61	the	the	DET
ejpam-4168	1183	62	msu	msu	PROPN
ejpam-4168	1183	63	-	-	PUNCT
ejpam-4168	1183	64	iligan	iligan	PROPN
ejpam-4168	1183	65	institute	institute	PROPN
ejpam-4168	1183	66	of	of	ADP
ejpam-4168	1183	67	technology	technology	PROPN
ejpam-4168	1183	68	.	.	PUNCT
ejpam-4168	1184	1	the	the	DET
ejpam-4168	1184	2	authors	author	NOUN
ejpam-4168	1184	3	would	would	AUX
ejpam-4168	1184	4	like	like	VERB
ejpam-4168	1184	5	to	to	PART
ejpam-4168	1184	6	thank	thank	VERB
ejpam-4168	1184	7	the	the	DET
ejpam-4168	1184	8	reviewers	reviewer	NOUN
ejpam-4168	1184	9	for	for	ADP
ejpam-4168	1184	10	their	their	PRON
ejpam-4168	1184	11	invaluable	invaluable	ADJ
ejpam-4168	1184	12	comments	comment	NOUN
ejpam-4168	1184	13	and	and	CCONJ
ejpam-4168	1184	14	suggestions	suggestion	NOUN
ejpam-4168	1184	15	.	.	PUNCT
ejpam-4168	1185	1	references	reference	NOUN
ejpam-4168	1185	2	1506	1506	NUM
ejpam-4168	1185	3	references	reference	NOUN
ejpam-4168	1185	4	[	[	X
ejpam-4168	1185	5	1	1	NUM
ejpam-4168	1185	6	]	]	PUNCT
ejpam-4168	1185	7	a.	a.	PROPN
ejpam-4168	1185	8	behzad	behzad	PROPN
ejpam-4168	1185	9	.	.	PUNCT
ejpam-4168	1186	1	m.	m.	PROPN
ejpam-4168	1186	2	bezhad	bezhad	PROPN
ejpam-4168	1186	3	and	and	CCONJ
ejpam-4168	1186	4	c.	c.	PROPN
ejpam-4168	1186	5	praeger	praeger	NOUN
ejpam-4168	1186	6	.	.	PUNCT
ejpam-4168	1187	1	fundamental	fundamental	ADJ
ejpam-4168	1187	2	dominations	domination	NOUN
ejpam-4168	1187	3	in	in	ADP
ejpam-4168	1187	4	graphs	graph	NOUN
ejpam-4168	1187	5	.	.	PUNCT
ejpam-4168	1188	1	arxiv	arxiv	NOUN
ejpam-4168	1188	2	:	:	PUNCT
ejpam-4168	1188	3	combinatorics	combinatoric	NOUN
ejpam-4168	1188	4	,	,	PUNCT
ejpam-4168	1188	5	2008	2008	NUM
ejpam-4168	1188	6	.	.	PUNCT
ejpam-4168	1189	1	[	[	X
ejpam-4168	1189	2	2	2	X
ejpam-4168	1189	3	]	]	X
ejpam-4168	1189	4	y.	y.	PROPN
ejpam-4168	1189	5	caro	caro	PROPN
ejpam-4168	1189	6	and	and	CCONJ
ejpam-4168	1189	7	a.	a.	NOUN
ejpam-4168	1189	8	hansberg	hansberg	PROPN
ejpam-4168	1189	9	.	.	PUNCT
ejpam-4168	1190	1	partial	partial	ADJ
ejpam-4168	1190	2	domination	domination	NOUN
ejpam-4168	1190	3	the	the	DET
ejpam-4168	1190	4	isolation	isolation	NOUN
ejpam-4168	1190	5	number	number	NOUN
ejpam-4168	1190	6	of	of	ADP
ejpam-4168	1190	7	a	a	DET
ejpam-4168	1190	8	graph	graph	NOUN
ejpam-4168	1190	9	.	.	PUNCT
ejpam-4168	1191	1	filomat	filomat	NOUN
ejpam-4168	1191	2	,	,	PUNCT
ejpam-4168	1191	3	31(12):3925–3944	31(12):3925–3944	NUM
ejpam-4168	1191	4	,	,	PUNCT
ejpam-4168	1191	5	2017	2017	NUM
ejpam-4168	1191	6	.	.	PUNCT
ejpam-4168	1192	1	[	[	X
ejpam-4168	1192	2	3	3	NUM
ejpam-4168	1192	3	]	]	PUNCT
ejpam-4168	1192	4	a.	a.	NOUN
ejpam-4168	1192	5	das	das	PROPN
ejpam-4168	1192	6	.	.	PUNCT
ejpam-4168	1192	7	partial	partial	ADJ
ejpam-4168	1192	8	domination	domination	NOUN
ejpam-4168	1192	9	in	in	ADP
ejpam-4168	1192	10	graphs	graph	NOUN
ejpam-4168	1192	11	.	.	PUNCT
ejpam-4168	1193	1	arxiv	arxiv	NOUN
ejpam-4168	1193	2	:	:	PUNCT
ejpam-4168	1193	3	combinatorics	combinatoric	NOUN
ejpam-4168	1193	4	,	,	PUNCT
ejpam-4168	1193	5	2017	2017	NUM
ejpam-4168	1193	6	.	.	PUNCT
ejpam-4168	1194	1	[	[	X
ejpam-4168	1194	2	4	4	X
ejpam-4168	1194	3	]	]	PUNCT
ejpam-4168	1194	4	w.	w.	PROPN
ejpam-4168	1194	5	duckworth	duckworth	PROPN
ejpam-4168	1194	6	and	and	CCONJ
ejpam-4168	1194	7	b.	b.	PROPN
ejpam-4168	1194	8	mans	mans	PROPN
ejpam-4168	1194	9	.	.	PUNCT
ejpam-4168	1195	1	connected	connected	ADJ
ejpam-4168	1195	2	domination	domination	NOUN
ejpam-4168	1195	3	of	of	ADP
ejpam-4168	1195	4	regular	regular	ADJ
ejpam-4168	1195	5	graphs	graph	NOUN
ejpam-4168	1195	6	.	.	PUNCT
ejpam-4168	1196	1	discrete	discrete	ADJ
ejpam-4168	1196	2	mathematics	mathematic	NOUN
ejpam-4168	1196	3	,	,	PUNCT
ejpam-4168	1196	4	309(8):2305–2322	309(8):2305–2322	NUM
ejpam-4168	1196	5	,	,	PUNCT
ejpam-4168	1196	6	2009	2009	NUM
ejpam-4168	1196	7	.	.	PUNCT
ejpam-4168	1197	1	[	[	X
ejpam-4168	1197	2	5	5	X
ejpam-4168	1197	3	]	]	PUNCT
ejpam-4168	1197	4	s.	s.	PROPN
ejpam-4168	1197	5	kaspar	kaspar	PROPN
ejpam-4168	1197	6	.	.	PUNCT
ejpam-4168	1198	1	b.	b.	PROPN
ejpam-4168	1198	2	gayathri	gayathri	PROPN
ejpam-4168	1198	3	,	,	PUNCT
ejpam-4168	1198	4	m.p	m.p	PROPN
ejpam-4168	1198	5	.	.	PROPN
ejpam-4168	1198	6	kulandaivel	kulandaivel	PROPN
ejpam-4168	1198	7	,	,	PUNCT
ejpam-4168	1198	8	and	and	CCONJ
ejpam-4168	1198	9	n.	n.	PROPN
ejpam-4168	1198	10	shobanadevi	shobanadevi	PROPN
ejpam-4168	1198	11	.	.	PUNCT
ejpam-4168	1199	1	towards	towards	ADP
ejpam-4168	1199	2	connected	connect	VERB
ejpam-4168	1199	3	domination	domination	NOUN
ejpam-4168	1199	4	in	in	ADP
ejpam-4168	1199	5	graphs	graph	NOUN
ejpam-4168	1199	6	.	.	PUNCT
ejpam-4168	1200	1	international	international	ADJ
ejpam-4168	1200	2	journal	journal	NOUN
ejpam-4168	1200	3	of	of	ADP
ejpam-4168	1200	4	pure	pure	ADJ
ejpam-4168	1200	5	and	and	CCONJ
ejpam-4168	1200	6	applied	applied	ADJ
ejpam-4168	1200	7	mathematics	mathematic	NOUN
ejpam-4168	1200	8	,	,	PUNCT
ejpam-4168	1200	9	117(14):53–62	117(14):53–62	NUM
ejpam-4168	1200	10	,	,	PUNCT
ejpam-4168	1200	11	2017	2017	NUM
ejpam-4168	1200	12	.	.	PUNCT
ejpam-4168	1201	1	[	[	X
ejpam-4168	1201	2	6	6	NUM
ejpam-4168	1201	3	]	]	PUNCT
ejpam-4168	1201	4	t.	t.	PROPN
ejpam-4168	1201	5	haynes	haynes	PROPN
ejpam-4168	1201	6	.	.	PUNCT
ejpam-4168	1202	1	s.	s.	PROPN
ejpam-4168	1202	2	hedetneimi	hedetneimi	PROPN
ejpam-4168	1202	3	and	and	CCONJ
ejpam-4168	1202	4	p.	p.	PROPN
ejpam-4168	1202	5	slater	slater	PROPN
ejpam-4168	1202	6	.	.	PUNCT
ejpam-4168	1203	1	fundamentals	fundamental	NOUN
ejpam-4168	1203	2	of	of	ADP
ejpam-4168	1203	3	domination	domination	NOUN
ejpam-4168	1203	4	in	in	ADP
ejpam-4168	1203	5	graphs	graph	NOUN
ejpam-4168	1203	6	.	.	PUNCT
ejpam-4168	1204	1	marcel	marcel	PROPN
ejpam-4168	1204	2	dekker	dekker	PROPN
ejpam-4168	1204	3	,	,	PUNCT
ejpam-4168	1204	4	new	new	PROPN
ejpam-4168	1204	5	york	york	PROPN
ejpam-4168	1204	6	,	,	PUNCT
ejpam-4168	1204	7	1998	1998	NUM
ejpam-4168	1204	8	.	.	PUNCT
ejpam-4168	1205	1	[	[	X
ejpam-4168	1205	2	7	7	X
ejpam-4168	1205	3	]	]	X
ejpam-4168	1205	4	r.	r.	PROPN
ejpam-4168	1205	5	macapodi	macapodi	PROPN
ejpam-4168	1205	6	.	.	PUNCT
ejpam-4168	1206	1	r.	r.	PROPN
ejpam-4168	1206	2	isla	isla	PROPN
ejpam-4168	1206	3	and	and	CCONJ
ejpam-4168	1206	4	s.	s.	PROPN
ejpam-4168	1206	5	r.	r.	PROPN
ejpam-4168	1206	6	canoy	canoy	PROPN
ejpam-4168	1206	7	jr	jr	PROPN
ejpam-4168	1206	8	.	.	PROPN
ejpam-4168	1206	9	partial	partial	ADJ
ejpam-4168	1206	10	domination	domination	NOUN
ejpam-4168	1206	11	in	in	ADP
ejpam-4168	1206	12	the	the	DET
ejpam-4168	1206	13	join	join	NOUN
ejpam-4168	1206	14	,	,	PUNCT
ejpam-4168	1206	15	corona	corona	PROPN
ejpam-4168	1206	16	,	,	PUNCT
ejpam-4168	1206	17	lexicographic	lexicographic	ADJ
ejpam-4168	1206	18	and	and	CCONJ
ejpam-4168	1206	19	cartesian	cartesian	ADJ
ejpam-4168	1206	20	products	product	NOUN
ejpam-4168	1206	21	of	of	ADP
ejpam-4168	1206	22	graphs	graph	NOUN
ejpam-4168	1206	23	.	.	PUNCT
ejpam-4168	1207	1	advances	advance	NOUN
ejpam-4168	1207	2	and	and	CCONJ
ejpam-4168	1207	3	applications	application	NOUN
ejpam-4168	1207	4	in	in	ADP
ejpam-4168	1207	5	discrete	discrete	ADJ
ejpam-4168	1207	6	mathematics	mathematic	NOUN
ejpam-4168	1207	7	,	,	PUNCT
ejpam-4168	1207	8	20:277–293	20:277–293	NUM
ejpam-4168	1207	9	,	,	PUNCT
ejpam-4168	1207	10	2019	2019	NUM
ejpam-4168	1207	11	.	.	PUNCT
ejpam-4168	1208	1	[	[	X
ejpam-4168	1208	2	8	8	NUM
ejpam-4168	1208	3	]	]	X
ejpam-4168	1208	4	h.	h.	PROPN
ejpam-4168	1208	5	karami	karami	PROPN
ejpam-4168	1208	6	.	.	PUNCT
ejpam-4168	1209	1	s.m	s.m	PROPN
ejpam-4168	1209	2	.	.	PROPN
ejpam-4168	1209	3	sheikholeslami	sheikholeslami	PROPN
ejpam-4168	1209	4	.	.	PUNCT
ejpam-4168	1210	1	a.	a.	NOUN
ejpam-4168	1210	2	khodkar	khodkar	PROPN
ejpam-4168	1210	3	and	and	CCONJ
ejpam-4168	1210	4	d.	d.	PROPN
ejpam-4168	1210	5	west	west	PROPN
ejpam-4168	1210	6	.	.	PUNCT
ejpam-4168	1211	1	connected	connect	VERB
ejpam-4168	1211	2	domination	domination	NOUN
ejpam-4168	1211	3	number	number	NOUN
ejpam-4168	1211	4	of	of	ADP
ejpam-4168	1211	5	a	a	DET
ejpam-4168	1211	6	graph	graph	NOUN
ejpam-4168	1211	7	and	and	CCONJ
ejpam-4168	1211	8	its	its	PRON
ejpam-4168	1211	9	complement	complement	NOUN
ejpam-4168	1211	10	.	.	PUNCT
ejpam-4168	1212	1	graphs	graph	NOUN
ejpam-4168	1212	2	and	and	CCONJ
ejpam-4168	1212	3	combinatorics	combinatoric	NOUN
ejpam-4168	1212	4	,	,	PUNCT
ejpam-4168	1212	5	28:123–131	28:123–131	NUM
ejpam-4168	1212	6	,	,	PUNCT
ejpam-4168	1212	7	2012	2012	NUM
ejpam-4168	1212	8	.	.	PUNCT
ejpam-4168	1213	1	[	[	X
ejpam-4168	1213	2	9	9	NUM
ejpam-4168	1213	3	]	]	X
ejpam-4168	1213	4	b.	b.	PROPN
ejpam-4168	1213	5	m.	m.	NOUN
ejpam-4168	1213	6	case	case	NOUN
ejpam-4168	1213	7	.	.	PUNCT
ejpam-4168	1214	1	s.t	s.t	PROPN
ejpam-4168	1214	2	.	.	PROPN
ejpam-4168	1214	3	hedetniemi	hedetniemi	PROPN
ejpam-4168	1214	4	.	.	PUNCT
ejpam-4168	1215	1	r.c	r.c	PROPN
ejpam-4168	1215	2	.	.	PROPN
ejpam-4168	1215	3	laskar	laskar	PROPN
ejpam-4168	1215	4	and	and	CCONJ
ejpam-4168	1215	5	d.j	d.j	PROPN
ejpam-4168	1215	6	.	.	PROPN
ejpam-4168	1215	7	lipman	lipman	PROPN
ejpam-4168	1215	8	.	.	PUNCT
ejpam-4168	1216	1	partial	partial	ADJ
ejpam-4168	1216	2	domination	domination	NOUN
ejpam-4168	1216	3	in	in	ADP
ejpam-4168	1216	4	graphs	graph	NOUN
ejpam-4168	1216	5	.	.	PUNCT
ejpam-4168	1217	1	arxiv	arxiv	NOUN
ejpam-4168	1217	2	:	:	PUNCT
ejpam-4168	1217	3	combinatorics	combinatoric	NOUN
ejpam-4168	1217	4	,	,	PUNCT
ejpam-4168	1217	5	2017	2017	NUM
ejpam-4168	1217	6	.	.	PUNCT
ejpam-4168	1218	1	[	[	X
ejpam-4168	1218	2	10	10	NUM
ejpam-4168	1218	3	]	]	X
ejpam-4168	1218	4	r.	r.	PROPN
ejpam-4168	1218	5	macapodi	macapodi	PROPN
ejpam-4168	1218	6	and	and	CCONJ
ejpam-4168	1218	7	r.	r.	PROPN
ejpam-4168	1218	8	isla	isla	PROPN
ejpam-4168	1218	9	.	.	PUNCT
ejpam-4168	1219	1	total	total	ADJ
ejpam-4168	1219	2	partial	partial	ADJ
ejpam-4168	1219	3	domination	domination	NOUN
ejpam-4168	1219	4	in	in	ADP
ejpam-4168	1219	5	graphs	graph	NOUN
ejpam-4168	1219	6	under	under	ADP
ejpam-4168	1219	7	some	some	DET
ejpam-4168	1219	8	binary	binary	ADJ
ejpam-4168	1219	9	operations	operation	NOUN
ejpam-4168	1219	10	.	.	PUNCT
ejpam-4168	1220	1	european	european	ADJ
ejpam-4168	1220	2	journal	journal	PROPN
ejpam-4168	1220	3	of	of	ADP
ejpam-4168	1220	4	pure	pure	ADJ
ejpam-4168	1220	5	and	and	CCONJ
ejpam-4168	1220	6	applied	applied	ADJ
ejpam-4168	1220	7	mathematics	mathematic	NOUN
ejpam-4168	1220	8	,	,	PUNCT
ejpam-4168	1220	9	12(4):1643–1655	12(4):1643–1655	NUM
ejpam-4168	1220	10	,	,	PUNCT
ejpam-4168	1220	11	2019	2019	NUM
ejpam-4168	1220	12	.	.	PUNCT
ejpam-4168	1221	1	[	[	X
ejpam-4168	1221	2	11	11	NUM
ejpam-4168	1221	3	]	]	X
ejpam-4168	1221	4	g.	g.	PROPN
ejpam-4168	1221	5	mahalingam	mahalingam	PROPN
ejpam-4168	1221	6	.	.	PUNCT
ejpam-4168	1222	1	connected	connect	VERB
ejpam-4168	1222	2	domination	domination	NOUN
ejpam-4168	1222	3	in	in	ADP
ejpam-4168	1222	4	graphs	graph	NOUN
ejpam-4168	1222	5	.	.	PUNCT
ejpam-4168	1223	1	phd	phd	NOUN
ejpam-4168	1223	2	thesis	thesis	PROPN
ejpam-4168	1223	3	,	,	PUNCT
ejpam-4168	1223	4	university	university	NOUN
ejpam-4168	1223	5	of	of	ADP
ejpam-4168	1223	6	south	south	PROPN
ejpam-4168	1223	7	florida	florida	PROPN
ejpam-4168	1223	8	,	,	PUNCT
ejpam-4168	1223	9	2005	2005	NUM
ejpam-4168	1223	10	.	.	PUNCT
ejpam-4168	1224	1	[	[	X
ejpam-4168	1224	2	12	12	NUM
ejpam-4168	1224	3	]	]	X
ejpam-4168	1224	4	e.	e.	PROPN
ejpam-4168	1224	5	sampathkumar	sampathkumar	PROPN
ejpam-4168	1224	6	and	and	CCONJ
ejpam-4168	1224	7	h.b	h.b	PROPN
ejpam-4168	1224	8	.	.	PROPN
ejpam-4168	1224	9	walikar	walikar	PROPN
ejpam-4168	1224	10	.	.	PUNCT
ejpam-4168	1225	1	the	the	DET
ejpam-4168	1225	2	connected	connected	ADJ
ejpam-4168	1225	3	domination	domination	NOUN
ejpam-4168	1225	4	number	number	NOUN
ejpam-4168	1225	5	of	of	ADP
ejpam-4168	1225	6	graphs	graph	NOUN
ejpam-4168	1225	7	.	.	PUNCT
ejpam-4168	1226	1	jour	jour	PROPN
ejpam-4168	1226	2	.	.	PUNCT
ejpam-4168	1226	3	math	math	PROPN
ejpam-4168	1226	4	.	.	PUNCT
ejpam-4168	1227	1	phy	phy	PROPN
ejpam-4168	1227	2	.	.	PUNCT
ejpam-4168	1228	1	sci	sci	PROPN
ejpam-4168	1228	2	.	.	PROPN
ejpam-4168	1228	3	,	,	PUNCT
ejpam-4168	1228	4	13(6):607–613	13(6):607–613	PROPN
ejpam-4168	1228	5	,	,	PUNCT
ejpam-4168	1228	6	1979	1979	NUM
ejpam-4168	1228	7	.	.	PUNCT
ejpam-4168	1229	1	[	[	X
ejpam-4168	1229	2	13	13	NUM
ejpam-4168	1229	3	]	]	PUNCT
ejpam-4168	1229	4	j.	j.	PROPN
ejpam-4168	1229	5	blum	blum	PROPN
ejpam-4168	1229	6	.	.	PROPN
ejpam-4168	1229	7	m.	m.	PROPN
ejpam-4168	1229	8	ding	ding	PROPN
ejpam-4168	1229	9	.	.	PUNCT
ejpam-4168	1230	1	a.	a.	NOUN
ejpam-4168	1230	2	thaeler	thaeler	NOUN
ejpam-4168	1230	3	and	and	CCONJ
ejpam-4168	1230	4	x.	x.	PROPN
ejpam-4168	1230	5	cheng	cheng	PROPN
ejpam-4168	1230	6	.	.	PUNCT
ejpam-4168	1231	1	connected	connect	VERB
ejpam-4168	1231	2	dominating	dominating	NOUN
ejpam-4168	1231	3	set	set	VERB
ejpam-4168	1231	4	in	in	ADP
ejpam-4168	1231	5	sensor	sensor	NOUN
ejpam-4168	1231	6	networks	network	NOUN
ejpam-4168	1231	7	and	and	CCONJ
ejpam-4168	1231	8	manets	manet	NOUN
ejpam-4168	1231	9	.	.	PUNCT
ejpam-4168	1232	1	in	in	ADP
ejpam-4168	1232	2	d.	d.	PROPN
ejpam-4168	1232	3	du	du	PROPN
ejpam-4168	1232	4	and	and	CCONJ
ejpam-4168	1232	5	p.	p.	NOUN
ejpam-4168	1232	6	pardalos(eds	pardalos(ed	NOUN
ejpam-4168	1232	7	)	)	PUNCT
ejpam-4168	1232	8	,	,	PUNCT
ejpam-4168	1232	9	editors	editor	NOUN
ejpam-4168	1232	10	,	,	PUNCT
ejpam-4168	1232	11	handbook	handbook	NOUN
ejpam-4168	1232	12	of	of	ADP
ejpam-4168	1232	13	combinatorial	combinatorial	ADJ
ejpam-4168	1232	14	optimization	optimization	NOUN
ejpam-4168	1232	15	.	.	PUNCT
ejpam-4168	1233	1	springer	springer	PROPN
ejpam-4168	1233	2	,	,	PUNCT
ejpam-4168	1233	3	boston	boston	PROPN
ejpam-4168	1233	4	,	,	PUNCT
ejpam-4168	1233	5	ma	ma	PROPN
ejpam-4168	1233	6	,	,	PUNCT
ejpam-4168	1233	7	2004	2004	NUM
ejpam-4168	1233	8	.	.	PUNCT