id	sid	tid	token	lemma	pos
ejpam-4127	1	1	european	european	PROPN
ejpam-4127	1	2	journal	journal	PROPN
ejpam-4127	1	3	of	of	ADP
ejpam-4127	1	4	pure	pure	ADJ
ejpam-4127	1	5	and	and	CCONJ
ejpam-4127	1	6	applied	apply	VERB
ejpam-4127	1	7	mathematics	mathematic	NOUN
ejpam-4127	1	8	vol	vol	NOUN
ejpam-4127	1	9	.	.	PUNCT
ejpam-4127	2	1	14	14	NUM
ejpam-4127	2	2	,	,	PUNCT
ejpam-4127	2	3	no	no	INTJ
ejpam-4127	2	4	.	.	NOUN
ejpam-4127	2	5	4	4	NUM
ejpam-4127	2	6	,	,	PUNCT
ejpam-4127	2	7	2021	2021	NUM
ejpam-4127	2	8	,	,	PUNCT
ejpam-4127	2	9	1324	1324	NUM
ejpam-4127	2	10	-	-	SYM
ejpam-4127	2	11	1336	1336	NUM
ejpam-4127	2	12	issn	issn	PROPN
ejpam-4127	2	13	1307	1307	NUM
ejpam-4127	2	14	-	-	SYM
ejpam-4127	2	15	5543	5543	NUM
ejpam-4127	2	16	–	–	PUNCT
ejpam-4127	3	1	ejpam.com	ejpam.com	X
ejpam-4127	3	2	published	publish	VERB
ejpam-4127	3	3	by	by	ADP
ejpam-4127	3	4	new	new	PROPN
ejpam-4127	3	5	york	york	PROPN
ejpam-4127	3	6	business	business	PROPN
ejpam-4127	3	7	global	global	PROPN
ejpam-4127	3	8	on	on	ADP
ejpam-4127	3	9	k	k	ADJ
ejpam-4127	3	10	-	-	PUNCT
ejpam-4127	3	11	cost	cost	ADJ
ejpam-4127	3	12	effective	effective	ADJ
ejpam-4127	3	13	domination	domination	NOUN
ejpam-4127	3	14	number	number	NOUN
ejpam-4127	3	15	in	in	ADP
ejpam-4127	3	16	the	the	DET
ejpam-4127	3	17	join	join	NOUN
ejpam-4127	3	18	of	of	ADP
ejpam-4127	3	19	graphs	graph	NOUN
ejpam-4127	3	20	jesrael	jesrael	PROPN
ejpam-4127	3	21	b.	b.	PROPN
ejpam-4127	3	22	palco1,∗	palco1,∗	PROPN
ejpam-4127	3	23	,	,	PUNCT
ejpam-4127	3	24	rolando	rolando	PROPN
ejpam-4127	3	25	n.	n.	PROPN
ejpam-4127	3	26	paluga2	paluga2	PROPN
ejpam-4127	3	27	,	,	PUNCT
ejpam-4127	3	28	gina	gina	PROPN
ejpam-4127	3	29	a.	a.	PROPN
ejpam-4127	3	30	malacas3	malacas3	PROPN
ejpam-4127	3	31	1	1	NUM
ejpam-4127	3	32	department	department	NOUN
ejpam-4127	3	33	of	of	ADP
ejpam-4127	3	34	physical	physical	ADJ
ejpam-4127	3	35	sciences	sciences	PROPN
ejpam-4127	3	36	and	and	CCONJ
ejpam-4127	3	37	mathematics	mathematic	NOUN
ejpam-4127	3	38	,	,	PUNCT
ejpam-4127	3	39	college	college	NOUN
ejpam-4127	3	40	of	of	ADP
ejpam-4127	3	41	science	science	NOUN
ejpam-4127	3	42	and	and	CCONJ
ejpam-4127	3	43	environment	environment	NOUN
ejpam-4127	3	44	,	,	PUNCT
ejpam-4127	3	45	mindanao	mindanao	PROPN
ejpam-4127	3	46	state	state	PROPN
ejpam-4127	3	47	university	university	PROPN
ejpam-4127	3	48	at	at	ADP
ejpam-4127	3	49	naawan	naawan	PROPN
ejpam-4127	3	50	,	,	PUNCT
ejpam-4127	3	51	9023	9023	NUM
ejpam-4127	3	52	,	,	PUNCT
ejpam-4127	3	53	naawan	naawan	PROPN
ejpam-4127	3	54	,	,	PUNCT
ejpam-4127	3	55	misamis	misamis	PROPN
ejpam-4127	3	56	oriental	oriental	PROPN
ejpam-4127	3	57	,	,	PUNCT
ejpam-4127	3	58	philippines	philippines	PROPN
ejpam-4127	3	59	2	2	NUM
ejpam-4127	3	60	department	department	NOUN
ejpam-4127	3	61	of	of	ADP
ejpam-4127	3	62	mathematics	mathematic	NOUN
ejpam-4127	3	63	,	,	PUNCT
ejpam-4127	3	64	college	college	NOUN
ejpam-4127	3	65	of	of	ADP
ejpam-4127	3	66	mathematics	mathematic	NOUN
ejpam-4127	3	67	and	and	CCONJ
ejpam-4127	3	68	natural	natural	ADJ
ejpam-4127	3	69	sciences	science	NOUN
ejpam-4127	3	70	,	,	PUNCT
ejpam-4127	3	71	caraga	caraga	PROPN
ejpam-4127	3	72	state	state	PROPN
ejpam-4127	3	73	university	university	PROPN
ejpam-4127	3	74	,	,	PUNCT
ejpam-4127	3	75	8600	8600	NUM
ejpam-4127	3	76	,	,	PUNCT
ejpam-4127	3	77	ampayon	ampayon	NOUN
ejpam-4127	3	78	,	,	PUNCT
ejpam-4127	3	79	butuan	butuan	PROPN
ejpam-4127	3	80	city	city	PROPN
ejpam-4127	3	81	,	,	PUNCT
ejpam-4127	3	82	philippines	philippines	PROPN
ejpam-4127	3	83	3	3	NUM
ejpam-4127	3	84	department	department	NOUN
ejpam-4127	3	85	of	of	ADP
ejpam-4127	3	86	mathematics	mathematic	NOUN
ejpam-4127	3	87	and	and	CCONJ
ejpam-4127	3	88	statistics	statistic	NOUN
ejpam-4127	3	89	,	,	PUNCT
ejpam-4127	3	90	college	college	NOUN
ejpam-4127	3	91	of	of	ADP
ejpam-4127	3	92	science	science	NOUN
ejpam-4127	3	93	and	and	CCONJ
ejpam-4127	3	94	mathematics	mathematic	NOUN
ejpam-4127	3	95	,	,	PUNCT
ejpam-4127	3	96	mindanao	mindanao	PROPN
ejpam-4127	3	97	state	state	PROPN
ejpam-4127	3	98	university	university	PROPN
ejpam-4127	3	99	-	-	PUNCT
ejpam-4127	3	100	iligan	iligan	PROPN
ejpam-4127	3	101	institute	institute	PROPN
ejpam-4127	3	102	of	of	ADP
ejpam-4127	3	103	technology	technology	PROPN
ejpam-4127	3	104	,	,	PUNCT
ejpam-4127	3	105	9200	9200	NUM
ejpam-4127	3	106	,	,	PUNCT
ejpam-4127	3	107	iligan	iligan	ADJ
ejpam-4127	3	108	city	city	NOUN
ejpam-4127	3	109	,	,	PUNCT
ejpam-4127	3	110	philippines	philippine	NOUN
ejpam-4127	3	111	abstract	abstract	ADJ
ejpam-4127	3	112	.	.	PUNCT
ejpam-4127	4	1	in	in	ADP
ejpam-4127	4	2	this	this	DET
ejpam-4127	4	3	paper	paper	NOUN
ejpam-4127	4	4	,	,	PUNCT
ejpam-4127	4	5	we	we	PRON
ejpam-4127	4	6	characterized	characterize	VERB
ejpam-4127	4	7	the	the	DET
ejpam-4127	4	8	k	k	ADJ
ejpam-4127	4	9	-	-	PUNCT
ejpam-4127	4	10	cost	cost	ADJ
ejpam-4127	4	11	effective	effective	ADJ
ejpam-4127	4	12	domination	domination	NOUN
ejpam-4127	4	13	in	in	ADP
ejpam-4127	4	14	the	the	DET
ejpam-4127	4	15	join	join	NOUN
ejpam-4127	4	16	of	of	ADP
ejpam-4127	4	17	graphs	graph	NOUN
ejpam-4127	4	18	.	.	PUNCT
ejpam-4127	5	1	further	far	ADV
ejpam-4127	5	2	,	,	PUNCT
ejpam-4127	5	3	we	we	PRON
ejpam-4127	5	4	investigate	investigate	VERB
ejpam-4127	5	5	the	the	DET
ejpam-4127	5	6	k	k	ADJ
ejpam-4127	5	7	-	-	PUNCT
ejpam-4127	5	8	cost	cost	ADJ
ejpam-4127	5	9	effective	effective	ADJ
ejpam-4127	5	10	domination	domination	NOUN
ejpam-4127	5	11	,	,	PUNCT
ejpam-4127	5	12	cost	cost	VERB
ejpam-4127	5	13	effective	effective	ADJ
ejpam-4127	5	14	domination	domination	NOUN
ejpam-4127	5	15	index	index	NOUN
ejpam-4127	5	16	,	,	PUNCT
ejpam-4127	5	17	maximal	maximal	ADJ
ejpam-4127	5	18	cost	cost	NOUN
ejpam-4127	5	19	effective	effective	ADJ
ejpam-4127	5	20	domination	domination	NOUN
ejpam-4127	5	21	in	in	ADP
ejpam-4127	5	22	the	the	DET
ejpam-4127	5	23	join	join	NOUN
ejpam-4127	5	24	of	of	ADP
ejpam-4127	5	25	graphs	graph	NOUN
ejpam-4127	5	26	.	.	PUNCT
ejpam-4127	6	1	2020	2020	NUM
ejpam-4127	6	2	mathematics	mathematic	NOUN
ejpam-4127	6	3	subject	subject	NOUN
ejpam-4127	6	4	classifications	classification	NOUN
ejpam-4127	6	5	:	:	PUNCT
ejpam-4127	6	6	05c69	05c69	X
ejpam-4127	6	7	key	key	ADJ
ejpam-4127	6	8	words	word	NOUN
ejpam-4127	6	9	and	and	CCONJ
ejpam-4127	6	10	phrases	phrase	NOUN
ejpam-4127	6	11	:	:	PUNCT
ejpam-4127	6	12	k	k	ADJ
ejpam-4127	6	13	-	-	PUNCT
ejpam-4127	6	14	cost	cost	ADJ
ejpam-4127	6	15	effective	effective	ADJ
ejpam-4127	6	16	set	set	NOUN
ejpam-4127	6	17	,	,	PUNCT
ejpam-4127	6	18	k	k	ADJ
ejpam-4127	6	19	-	-	PUNCT
ejpam-4127	6	20	cost	cost	ADJ
ejpam-4127	6	21	effective	effective	ADJ
ejpam-4127	6	22	domination	domination	NOUN
ejpam-4127	6	23	index	index	NOUN
ejpam-4127	6	24	,	,	PUNCT
ejpam-4127	6	25	maximal	maximal	ADJ
ejpam-4127	6	26	cost	cost	NOUN
ejpam-4127	6	27	effective	effective	ADJ
ejpam-4127	6	28	domination	domination	NOUN
ejpam-4127	6	29	.	.	PUNCT
ejpam-4127	7	1	1	1	X
ejpam-4127	7	2	.	.	X
ejpam-4127	7	3	introduction	introduction	NOUN
ejpam-4127	7	4	let	let	VERB
ejpam-4127	7	5	g	g	NOUN
ejpam-4127	7	6	=	=	SYM
ejpam-4127	7	7	(	(	PUNCT
ejpam-4127	7	8	v	v	NOUN
ejpam-4127	7	9	(	(	PUNCT
ejpam-4127	7	10	g	g	NOUN
ejpam-4127	7	11	)	)	PUNCT
ejpam-4127	7	12	,	,	PUNCT
ejpam-4127	7	13	e(g	e(g	PROPN
ejpam-4127	7	14	)	)	PUNCT
ejpam-4127	7	15	)	)	PUNCT
ejpam-4127	7	16	be	be	AUX
ejpam-4127	7	17	a	a	DET
ejpam-4127	7	18	connected	connected	ADJ
ejpam-4127	7	19	simple	simple	ADJ
ejpam-4127	7	20	graph	graph	NOUN
ejpam-4127	7	21	and	and	CCONJ
ejpam-4127	7	22	v	v	ADP
ejpam-4127	7	23	∈	∈	PROPN
ejpam-4127	7	24	v	v	NOUN
ejpam-4127	7	25	(	(	PUNCT
ejpam-4127	7	26	g	g	NOUN
ejpam-4127	7	27	)	)	PUNCT
ejpam-4127	7	28	.	.	PUNCT
ejpam-4127	8	1	the	the	DET
ejpam-4127	8	2	neighborhood	neighborhood	NOUN
ejpam-4127	8	3	of	of	ADP
ejpam-4127	8	4	v	v	NOUN
ejpam-4127	8	5	in	in	ADP
ejpam-4127	8	6	the	the	DET
ejpam-4127	8	7	set	set	NOUN
ejpam-4127	8	8	ng(v	ng(v	PUNCT
ejpam-4127	8	9	)	)	PUNCT
ejpam-4127	8	10	=	=	SYM
ejpam-4127	8	11	n(v	n(v	PROPN
ejpam-4127	8	12	)	)	PUNCT
ejpam-4127	8	13	=	=	PRON
ejpam-4127	8	14	{	{	PUNCT
ejpam-4127	8	15	u	u	NOUN
ejpam-4127	8	16	∈	∈	PROPN
ejpam-4127	8	17	v	v	NOUN
ejpam-4127	8	18	(	(	PUNCT
ejpam-4127	8	19	g	g	NOUN
ejpam-4127	8	20	)	)	PUNCT
ejpam-4127	8	21	:	:	PUNCT
ejpam-4127	8	22	uv	uv	PROPN
ejpam-4127	8	23	∈	∈	PROPN
ejpam-4127	8	24	e(g	e(g	PROPN
ejpam-4127	8	25	)	)	PUNCT
ejpam-4127	8	26	}	}	PUNCT
ejpam-4127	8	27	.	.	PUNCT
ejpam-4127	9	1	the	the	DET
ejpam-4127	9	2	degree	degree	NOUN
ejpam-4127	9	3	of	of	ADP
ejpam-4127	9	4	a	a	DET
ejpam-4127	9	5	vertex	vertex	NOUN
ejpam-4127	9	6	v	v	NOUN
ejpam-4127	9	7	in	in	ADP
ejpam-4127	9	8	a	a	DET
ejpam-4127	9	9	graph	graph	NOUN
ejpam-4127	9	10	g	g	NOUN
ejpam-4127	9	11	,	,	PUNCT
ejpam-4127	9	12	denoted	denote	VERB
ejpam-4127	9	13	by	by	ADP
ejpam-4127	9	14	degg(v	degg(v	PROPN
ejpam-4127	9	15	)	)	PUNCT
ejpam-4127	9	16	,	,	PUNCT
ejpam-4127	9	17	is	be	AUX
ejpam-4127	9	18	|n(v)|	|n(v)|	PROPN
ejpam-4127	9	19	.	.	PUNCT
ejpam-4127	10	1	a	a	DET
ejpam-4127	10	2	subset	subset	NOUN
ejpam-4127	10	3	s	s	X
ejpam-4127	10	4	of	of	ADP
ejpam-4127	10	5	v	v	NOUN
ejpam-4127	10	6	(	(	PUNCT
ejpam-4127	10	7	g	g	NOUN
ejpam-4127	10	8	)	)	PUNCT
ejpam-4127	10	9	is	be	AUX
ejpam-4127	10	10	a	a	DET
ejpam-4127	10	11	dominating	dominating	NOUN
ejpam-4127	10	12	set	set	NOUN
ejpam-4127	10	13	of	of	ADP
ejpam-4127	10	14	g	g	PROPN
ejpam-4127	10	15	if	if	SCONJ
ejpam-4127	10	16	for	for	ADP
ejpam-4127	10	17	every	every	PRON
ejpam-4127	10	18	v	v	NUM
ejpam-4127	10	19	∈	∈	NOUN
ejpam-4127	10	20	v	v	NOUN
ejpam-4127	10	21	(	(	PUNCT
ejpam-4127	10	22	g	g	NOUN
ejpam-4127	10	23	)	)	PUNCT
ejpam-4127	10	24	\	\	PROPN
ejpam-4127	11	1	s	s	X
ejpam-4127	11	2	,	,	PUNCT
ejpam-4127	11	3	there	there	PRON
ejpam-4127	11	4	exists	exist	VERB
ejpam-4127	11	5	u	u	PROPN
ejpam-4127	11	6	∈	∈	PROPN
ejpam-4127	11	7	s	s	VERB
ejpam-4127	11	8	such	such	ADJ
ejpam-4127	11	9	that	that	DET
ejpam-4127	11	10	uv	uv	PROPN
ejpam-4127	11	11	∈	∈	PROPN
ejpam-4127	11	12	e(g	e(g	PROPN
ejpam-4127	11	13	)	)	PUNCT
ejpam-4127	11	14	.	.	PUNCT
ejpam-4127	12	1	the	the	DET
ejpam-4127	12	2	domination	domination	NOUN
ejpam-4127	12	3	number	number	PROPN
ejpam-4127	12	4	γ(g	γ(g	PROPN
ejpam-4127	12	5	)	)	PUNCT
ejpam-4127	12	6	of	of	ADP
ejpam-4127	12	7	g	g	PROPN
ejpam-4127	12	8	is	be	AUX
ejpam-4127	12	9	the	the	DET
ejpam-4127	12	10	minimum	minimum	ADJ
ejpam-4127	12	11	cardinality	cardinality	NOUN
ejpam-4127	12	12	of	of	ADP
ejpam-4127	12	13	a	a	DET
ejpam-4127	12	14	dominating	dominating	NOUN
ejpam-4127	12	15	set	set	NOUN
ejpam-4127	12	16	of	of	ADP
ejpam-4127	12	17	g.	g.	PROPN
ejpam-4127	12	18	a	a	DET
ejpam-4127	12	19	subset	subset	NOUN
ejpam-4127	12	20	s	s	NOUN
ejpam-4127	12	21	of	of	ADP
ejpam-4127	12	22	v	v	NOUN
ejpam-4127	12	23	(	(	PUNCT
ejpam-4127	12	24	g	g	NOUN
ejpam-4127	12	25	)	)	PUNCT
ejpam-4127	12	26	is	be	AUX
ejpam-4127	12	27	an	an	DET
ejpam-4127	12	28	independent	independent	ADJ
ejpam-4127	12	29	set	set	NOUN
ejpam-4127	12	30	of	of	ADP
ejpam-4127	12	31	g	g	NOUN
ejpam-4127	12	32	if	if	SCONJ
ejpam-4127	12	33	uv	uv	PROPN
ejpam-4127	12	34	/∈	/∈	PUNCT
ejpam-4127	12	35	e(g	e(g	PROPN
ejpam-4127	12	36	)	)	PUNCT
ejpam-4127	13	1	for	for	ADP
ejpam-4127	13	2	distinct	distinct	ADJ
ejpam-4127	13	3	pairs	pair	NOUN
ejpam-4127	13	4	of	of	ADP
ejpam-4127	13	5	vertices	vertex	NOUN
ejpam-4127	13	6	u	u	NOUN
ejpam-4127	13	7	and	and	CCONJ
ejpam-4127	13	8	v	v	NOUN
ejpam-4127	13	9	in	in	ADP
ejpam-4127	13	10	s.	s.	PROPN
ejpam-4127	13	11	an	an	DET
ejpam-4127	13	12	independent	independent	ADJ
ejpam-4127	13	13	dominating	dominating	NOUN
ejpam-4127	13	14	set	set	VERB
ejpam-4127	13	15	in	in	ADP
ejpam-4127	13	16	g	g	PROPN
ejpam-4127	13	17	is	be	AUX
ejpam-4127	13	18	an	an	DET
ejpam-4127	13	19	independent	independent	ADJ
ejpam-4127	13	20	set	set	NOUN
ejpam-4127	13	21	in	in	ADP
ejpam-4127	13	22	g	g	NOUN
ejpam-4127	13	23	which	which	PRON
ejpam-4127	13	24	is	be	AUX
ejpam-4127	13	25	dominating	dominate	VERB
ejpam-4127	13	26	in	in	ADP
ejpam-4127	13	27	g.	g.	PROPN
ejpam-4127	13	28	the	the	DET
ejpam-4127	13	29	minimum	minimum	ADJ
ejpam-4127	13	30	cardinality	cardinality	NOUN
ejpam-4127	13	31	γi(g	γi(g	NOUN
ejpam-4127	13	32	)	)	PUNCT
ejpam-4127	13	33	of	of	ADP
ejpam-4127	13	34	an	an	DET
ejpam-4127	13	35	independent	independent	ADJ
ejpam-4127	13	36	dominating	dominating	NOUN
ejpam-4127	13	37	set	set	NOUN
ejpam-4127	13	38	in	in	ADP
ejpam-4127	13	39	g	g	PROPN
ejpam-4127	13	40	is	be	AUX
ejpam-4127	13	41	called	call	VERB
ejpam-4127	13	42	independence	independence	NOUN
ejpam-4127	13	43	domination	domination	NOUN
ejpam-4127	13	44	number	number	NOUN
ejpam-4127	13	45	.	.	PUNCT
ejpam-4127	14	1	let	let	VERB
ejpam-4127	14	2	k	k	PROPN
ejpam-4127	14	3	≥	≥	X
ejpam-4127	14	4	0	0	NUM
ejpam-4127	14	5	be	be	AUX
ejpam-4127	14	6	an	an	DET
ejpam-4127	14	7	integer	integer	NOUN
ejpam-4127	14	8	.	.	PUNCT
ejpam-4127	15	1	consider	consider	VERB
ejpam-4127	15	2	a	a	DET
ejpam-4127	15	3	vertex	vertex	NOUN
ejpam-4127	15	4	v	v	NOUN
ejpam-4127	15	5	,	,	PUNCT
ejpam-4127	15	6	its	its	PRON
ejpam-4127	15	7	neighborhood	neighborhood	NOUN
ejpam-4127	15	8	set	set	NOUN
ejpam-4127	15	9	,	,	PUNCT
ejpam-4127	15	10	n(v	n(v	PROPN
ejpam-4127	15	11	)	)	PUNCT
ejpam-4127	15	12	and	and	CCONJ
ejpam-4127	15	13	the	the	DET
ejpam-4127	15	14	vertex	vertex	NOUN
ejpam-4127	15	15	-	-	PUNCT
ejpam-4127	15	16	set	set	NOUN
ejpam-4127	15	17	of	of	ADP
ejpam-4127	15	18	g	g	PROPN
ejpam-4127	15	19	,	,	PUNCT
ejpam-4127	15	20	v	v	NOUN
ejpam-4127	15	21	(	(	PUNCT
ejpam-4127	15	22	g	g	NOUN
ejpam-4127	15	23	)	)	PUNCT
ejpam-4127	15	24	.	.	PUNCT
ejpam-4127	16	1	a	a	DET
ejpam-4127	16	2	vertex	vertex	NOUN
ejpam-4127	16	3	v	v	ADP
ejpam-4127	16	4	∈	∈	NOUN
ejpam-4127	16	5	s	s	PART
ejpam-4127	16	6	⊆	⊆	NUM
ejpam-4127	16	7	v	v	NOUN
ejpam-4127	16	8	(	(	PUNCT
ejpam-4127	16	9	g	g	NOUN
ejpam-4127	16	10	)	)	PUNCT
ejpam-4127	16	11	is	be	AUX
ejpam-4127	16	12	said	say	VERB
ejpam-4127	16	13	to	to	PART
ejpam-4127	16	14	be	be	AUX
ejpam-4127	16	15	k	k	ADJ
ejpam-4127	16	16	-	-	ADJ
ejpam-4127	16	17	cost	cost	NOUN
ejpam-4127	16	18	effective	effective	ADJ
ejpam-4127	16	19	if	if	SCONJ
ejpam-4127	16	20	|n(v	|n(v	ADJ
ejpam-4127	16	21	)	)	PUNCT
ejpam-4127	16	22	∩	∩	NOUN
ejpam-4127	16	23	(	(	PUNCT
ejpam-4127	16	24	v	v	NOUN
ejpam-4127	16	25	(	(	PUNCT
ejpam-4127	16	26	g	g	NOUN
ejpam-4127	16	27	)	)	PUNCT
ejpam-4127	16	28	\	\	PROPN
ejpam-4127	16	29	s)|	s)|	PROPN
ejpam-4127	16	30	≥	≥	PROPN
ejpam-4127	16	31	|n(v	|n(v	PROPN
ejpam-4127	16	32	)	)	PUNCT
ejpam-4127	16	33	∩	∩	NOUN
ejpam-4127	16	34	s|	s|	VERB
ejpam-4127	17	1	+	+	CCONJ
ejpam-4127	17	2	k.	k.	PROPN
ejpam-4127	17	3	a	a	DET
ejpam-4127	17	4	dominating	dominating	NOUN
ejpam-4127	17	5	set	set	NOUN
ejpam-4127	17	6	s	s	VERB
ejpam-4127	17	7	is	be	AUX
ejpam-4127	17	8	k	k	ADJ
ejpam-4127	17	9	-	-	PUNCT
ejpam-4127	17	10	cost	cost	NOUN
ejpam-4127	17	11	effective	effective	ADJ
ejpam-4127	17	12	,	,	PUNCT
ejpam-4127	17	13	if	if	SCONJ
ejpam-4127	17	14	every	every	DET
ejpam-4127	17	15	vertex	vertex	NOUN
ejpam-4127	17	16	in	in	ADP
ejpam-4127	17	17	s	s	PROPN
ejpam-4127	17	18	is	be	AUX
ejpam-4127	17	19	k	k	ADJ
ejpam-4127	17	20	-	-	PUNCT
ejpam-4127	17	21	cost	cost	NOUN
ejpam-4127	17	22	effective	effective	ADJ
ejpam-4127	17	23	.	.	PUNCT
ejpam-4127	18	1	the	the	DET
ejpam-4127	18	2	minimum	minimum	ADJ
ejpam-4127	18	3	cardinality	cardinality	NOUN
ejpam-4127	18	4	of	of	ADP
ejpam-4127	18	5	a	a	DET
ejpam-4127	18	6	k	k	ADJ
ejpam-4127	18	7	-	-	PUNCT
ejpam-4127	18	8	cost	cost	NOUN
ejpam-4127	18	9	effective	effective	ADJ
ejpam-4127	18	10	dominating	dominating	NOUN
ejpam-4127	18	11	∗corresponding	∗corresponde	VERB
ejpam-4127	18	12	author	author	NOUN
ejpam-4127	18	13	.	.	PUNCT
ejpam-4127	19	1	doi	doi	NOUN
ejpam-4127	19	2	:	:	PUNCT
ejpam-4127	19	3	https://doi.org/10.29020/nybg.ejpam.v14i4.4117	https://doi.org/10.29020/nybg.ejpam.v14i4.4117	PROPN
ejpam-4127	19	4	email	email	NOUN
ejpam-4127	19	5	addresses	address	NOUN
ejpam-4127	19	6	:	:	PUNCT
ejpam-4127	20	1	jesrael.palco@msunaawan.edu.ph	jesrael.palco@msunaawan.edu.ph	PROPN
ejpam-4127	20	2	(	(	PUNCT
ejpam-4127	20	3	j.	j.	PROPN
ejpam-4127	20	4	b.	b.	PROPN
ejpam-4127	20	5	palco	palco	PROPN
ejpam-4127	20	6	)	)	PUNCT
ejpam-4127	20	7	,	,	PUNCT
ejpam-4127	20	8	rnpaluga@carsu.edu.ph	rnpaluga@carsu.edu.ph	NOUN
ejpam-4127	20	9	(	(	PUNCT
ejpam-4127	20	10	r.	r.	PROPN
ejpam-4127	20	11	n.	n.	PROPN
ejpam-4127	20	12	paluga	paluga	PROPN
ejpam-4127	20	13	)	)	PUNCT
ejpam-4127	20	14	,	,	PUNCT
ejpam-4127	20	15	gina.malacas@g.msuiit.edu.ph	gina.malacas@g.msuiit.edu.ph	PROPN
ejpam-4127	20	16	(	(	PUNCT
ejpam-4127	20	17	g.	g.	PROPN
ejpam-4127	20	18	a.	a.	PROPN
ejpam-4127	20	19	malacas	malacas	PROPN
ejpam-4127	20	20	)	)	PUNCT
ejpam-4127	20	21	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4127	20	22	1324	1324	NUM
ejpam-4127	20	23	©	©	PROPN
ejpam-4127	20	24	2021	2021	NUM
ejpam-4127	20	25	ejpam	ejpam	VERB
ejpam-4127	20	26	all	all	DET
ejpam-4127	20	27	rights	right	NOUN
ejpam-4127	20	28	reserved	reserve	VERB
ejpam-4127	20	29	.	.	PUNCT
ejpam-4127	21	1	j.	j.	PROPN
ejpam-4127	21	2	b.	b.	PROPN
ejpam-4127	21	3	palco	palco	PROPN
ejpam-4127	21	4	,	,	PUNCT
ejpam-4127	21	5	r.	r.	PROPN
ejpam-4127	21	6	n.	n.	PROPN
ejpam-4127	21	7	paluga	paluga	PROPN
ejpam-4127	21	8	,	,	PUNCT
ejpam-4127	21	9	g.	g.	PROPN
ejpam-4127	21	10	a.	a.	PROPN
ejpam-4127	21	11	malacas	malacas	PROPN
ejpam-4127	21	12	/	/	SYM
ejpam-4127	21	13	eur	eur	PROPN
ejpam-4127	21	14	.	.	PUNCT
ejpam-4127	22	1	j.	j.	PROPN
ejpam-4127	22	2	pure	pure	PROPN
ejpam-4127	22	3	appl	appl	PROPN
ejpam-4127	22	4	.	.	PROPN
ejpam-4127	22	5	math	math	PROPN
ejpam-4127	22	6	,	,	PUNCT
ejpam-4127	22	7	14	14	NUM
ejpam-4127	22	8	(	(	PUNCT
ejpam-4127	22	9	4	4	NUM
ejpam-4127	22	10	)	)	PUNCT
ejpam-4127	22	11	(	(	PUNCT
ejpam-4127	22	12	2021	2021	NUM
ejpam-4127	22	13	)	)	PUNCT
ejpam-4127	22	14	,	,	PUNCT
ejpam-4127	22	15	1324	1324	NUM
ejpam-4127	22	16	-	-	SYM
ejpam-4127	22	17	1336	1336	NUM
ejpam-4127	22	18	1325	1325	NUM
ejpam-4127	22	19	set	set	NOUN
ejpam-4127	22	20	of	of	ADP
ejpam-4127	22	21	g	g	PROPN
ejpam-4127	22	22	is	be	AUX
ejpam-4127	22	23	the	the	DET
ejpam-4127	22	24	k	k	ADJ
ejpam-4127	22	25	-	-	PUNCT
ejpam-4127	22	26	cost	cost	ADJ
ejpam-4127	22	27	effective	effective	ADJ
ejpam-4127	22	28	domination	domination	NOUN
ejpam-4127	22	29	number	number	NOUN
ejpam-4127	22	30	γkce(g	γkce(g	NOUN
ejpam-4127	22	31	)	)	PUNCT
ejpam-4127	22	32	of	of	ADP
ejpam-4127	22	33	g.	g.	PROPN
ejpam-4127	22	34	in	in	ADP
ejpam-4127	22	35	cases	case	NOUN
ejpam-4127	22	36	where	where	SCONJ
ejpam-4127	22	37	there	there	PRON
ejpam-4127	22	38	is	be	VERB
ejpam-4127	22	39	no	no	DET
ejpam-4127	22	40	k	k	ADJ
ejpam-4127	22	41	-	-	PUNCT
ejpam-4127	22	42	cost	cost	NOUN
ejpam-4127	22	43	effective	effective	ADJ
ejpam-4127	22	44	dominating	dominating	NOUN
ejpam-4127	22	45	set	set	NOUN
ejpam-4127	22	46	for	for	ADP
ejpam-4127	22	47	g	g	NOUN
ejpam-4127	22	48	,	,	PUNCT
ejpam-4127	22	49	the	the	DET
ejpam-4127	22	50	k	k	ADJ
ejpam-4127	22	51	-	-	PUNCT
ejpam-4127	22	52	cost	cost	ADJ
ejpam-4127	22	53	effective	effective	ADJ
ejpam-4127	22	54	domination	domination	NOUN
ejpam-4127	22	55	number	number	NOUN
ejpam-4127	22	56	of	of	ADP
ejpam-4127	22	57	g	g	PROPN
ejpam-4127	22	58	is	be	AUX
ejpam-4127	22	59	infinity	infinity	NOUN
ejpam-4127	22	60	.	.	PUNCT
ejpam-4127	23	1	the	the	DET
ejpam-4127	23	2	k	k	ADJ
ejpam-4127	23	3	-	-	PUNCT
ejpam-4127	23	4	cost	cost	ADJ
ejpam-4127	23	5	effective	effective	ADJ
ejpam-4127	23	6	domination	domination	NOUN
ejpam-4127	23	7	index	index	NOUN
ejpam-4127	23	8	of	of	ADP
ejpam-4127	23	9	g	g	NOUN
ejpam-4127	23	10	,	,	PUNCT
ejpam-4127	23	11	denoted	denote	VERB
ejpam-4127	23	12	by	by	ADP
ejpam-4127	23	13	η(g	η(g	PROPN
ejpam-4127	23	14	)	)	PUNCT
ejpam-4127	23	15	,	,	PUNCT
ejpam-4127	23	16	is	be	AUX
ejpam-4127	23	17	the	the	DET
ejpam-4127	23	18	maximum	maximum	ADJ
ejpam-4127	23	19	value	value	NOUN
ejpam-4127	23	20	of	of	ADP
ejpam-4127	23	21	k	k	PROPN
ejpam-4127	23	22	such	such	ADJ
ejpam-4127	23	23	that	that	SCONJ
ejpam-4127	23	24	k	k	ADJ
ejpam-4127	23	25	-	-	PUNCT
ejpam-4127	23	26	cost	cost	ADJ
ejpam-4127	23	27	effective	effective	ADJ
ejpam-4127	23	28	domination	domination	NOUN
ejpam-4127	23	29	number	number	NOUN
ejpam-4127	23	30	is	be	AUX
ejpam-4127	23	31	finite	finite	ADJ
ejpam-4127	23	32	.	.	PUNCT
ejpam-4127	24	1	that	that	PRON
ejpam-4127	24	2	is	be	AUX
ejpam-4127	24	3	,	,	PUNCT
ejpam-4127	24	4	η(g	η(g	PROPN
ejpam-4127	24	5	)	)	PUNCT
ejpam-4127	24	6	=	=	SYM
ejpam-4127	24	7	max{k	max{k	NOUN
ejpam-4127	24	8	:	:	PUNCT
ejpam-4127	24	9	γkce(g	γkce(g	NOUN
ejpam-4127	24	10	)	)	PUNCT
ejpam-4127	24	11	is	be	AUX
ejpam-4127	24	12	finite	finite	ADJ
ejpam-4127	24	13	.	.	PUNCT
ejpam-4127	24	14	}	}	PUNCT
ejpam-4127	25	1	the	the	DET
ejpam-4127	25	2	maximal	maximal	ADJ
ejpam-4127	25	3	cost	cost	NOUN
ejpam-4127	25	4	effective	effective	ADJ
ejpam-4127	25	5	domination	domination	NOUN
ejpam-4127	25	6	number	number	NOUN
ejpam-4127	25	7	of	of	ADP
ejpam-4127	25	8	g	g	PROPN
ejpam-4127	25	9	is	be	AUX
ejpam-4127	25	10	equal	equal	ADJ
ejpam-4127	25	11	to	to	ADP
ejpam-4127	25	12	γ	γ	PROPN
ejpam-4127	25	13	η(g	η(g	PROPN
ejpam-4127	25	14	)	)	PUNCT
ejpam-4127	25	15	ce	ce	PROPN
ejpam-4127	25	16	(	(	PUNCT
ejpam-4127	25	17	g	g	NOUN
ejpam-4127	25	18	)	)	PUNCT
ejpam-4127	25	19	.	.	PUNCT
ejpam-4127	26	1	2	2	X
ejpam-4127	26	2	.	.	X
ejpam-4127	26	3	results	result	NOUN
ejpam-4127	26	4	theorem	theorem	VERB
ejpam-4127	26	5	1	1	X
ejpam-4127	26	6	.	.	PUNCT
ejpam-4127	27	1	let	let	VERB
ejpam-4127	27	2	g	g	NOUN
ejpam-4127	27	3	and	and	CCONJ
ejpam-4127	27	4	h	h	NOUN
ejpam-4127	27	5	be	be	AUX
ejpam-4127	27	6	connected	connect	VERB
ejpam-4127	27	7	graphs	graph	NOUN
ejpam-4127	27	8	,	,	PUNCT
ejpam-4127	27	9	k	k	X
ejpam-4127	27	10	≥	≥	NUM
ejpam-4127	27	11	max{|v	max{|v	PROPN
ejpam-4127	27	12	(	(	PUNCT
ejpam-4127	27	13	g)|	g)|	PROPN
ejpam-4127	27	14	,	,	PUNCT
ejpam-4127	27	15	|v	|v	PROPN
ejpam-4127	27	16	(	(	PUNCT
ejpam-4127	27	17	h)|	h)|	NOUN
ejpam-4127	27	18	}	}	PUNCT
ejpam-4127	27	19	,	,	PUNCT
ejpam-4127	27	20	and	and	CCONJ
ejpam-4127	27	21	s	s	VERB
ejpam-4127	27	22	⊆	⊆	NUM
ejpam-4127	27	23	v	v	NOUN
ejpam-4127	27	24	(	(	PUNCT
ejpam-4127	27	25	g	g	PROPN
ejpam-4127	27	26	+	+	NOUN
ejpam-4127	27	27	h	h	NOUN
ejpam-4127	27	28	)	)	PUNCT
ejpam-4127	27	29	.	.	PUNCT
ejpam-4127	28	1	then	then	ADV
ejpam-4127	28	2	s	s	VERB
ejpam-4127	28	3	is	be	AUX
ejpam-4127	28	4	a	a	DET
ejpam-4127	28	5	k	k	ADJ
ejpam-4127	28	6	-	-	PUNCT
ejpam-4127	28	7	cost	cost	NOUN
ejpam-4127	28	8	effective	effective	ADJ
ejpam-4127	28	9	dominating	dominating	NOUN
ejpam-4127	28	10	set	set	VERB
ejpam-4127	28	11	in	in	ADP
ejpam-4127	28	12	g	g	PROPN
ejpam-4127	29	1	+	+	NOUN
ejpam-4127	29	2	h	h	NOUN
ejpam-4127	29	3	if	if	SCONJ
ejpam-4127	29	4	and	and	CCONJ
ejpam-4127	29	5	only	only	ADV
ejpam-4127	29	6	if	if	SCONJ
ejpam-4127	29	7	one	one	NUM
ejpam-4127	29	8	of	of	ADP
ejpam-4127	29	9	the	the	DET
ejpam-4127	29	10	following	follow	VERB
ejpam-4127	29	11	holds	hold	VERB
ejpam-4127	29	12	:	:	PUNCT
ejpam-4127	29	13	(	(	PUNCT
ejpam-4127	29	14	i	i	NOUN
ejpam-4127	29	15	)	)	PUNCT
ejpam-4127	29	16	s	s	VERB
ejpam-4127	29	17	is	be	AUX
ejpam-4127	29	18	(	(	PUNCT
ejpam-4127	29	19	k	k	PROPN
ejpam-4127	29	20	−	−	PROPN
ejpam-4127	29	21	|v	|v	PROPN
ejpam-4127	29	22	(	(	PUNCT
ejpam-4127	29	23	h)|)-cost	h)|)-cost	X
ejpam-4127	29	24	effective	effective	ADJ
ejpam-4127	29	25	dominating	dominating	NOUN
ejpam-4127	29	26	set	set	VERB
ejpam-4127	29	27	in	in	ADP
ejpam-4127	29	28	g	g	NOUN
ejpam-4127	29	29	;	;	PUNCT
ejpam-4127	29	30	(	(	PUNCT
ejpam-4127	29	31	ii	ii	NOUN
ejpam-4127	29	32	)	)	PUNCT
ejpam-4127	29	33	s	s	AUX
ejpam-4127	29	34	is	be	AUX
ejpam-4127	29	35	(	(	PUNCT
ejpam-4127	29	36	k	k	PROPN
ejpam-4127	29	37	−	−	PROPN
ejpam-4127	29	38	|v	|v	PROPN
ejpam-4127	29	39	(	(	PUNCT
ejpam-4127	29	40	g)|)-cost	g)|)-cost	NOUN
ejpam-4127	29	41	effective	effective	ADJ
ejpam-4127	29	42	dominating	dominating	NOUN
ejpam-4127	29	43	set	set	VERB
ejpam-4127	29	44	in	in	ADP
ejpam-4127	29	45	h	h	NOUN
ejpam-4127	29	46	;	;	PUNCT
ejpam-4127	29	47	(	(	PUNCT
ejpam-4127	29	48	iii	iii	X
ejpam-4127	29	49	)	)	PUNCT
ejpam-4127	29	50	v	v	NOUN
ejpam-4127	29	51	(	(	PUNCT
ejpam-4127	29	52	g	g	NOUN
ejpam-4127	29	53	)	)	PUNCT
ejpam-4127	29	54	∩	∩	NOUN
ejpam-4127	29	55	s	s	PART
ejpam-4127	29	56	is	be	AUX
ejpam-4127	29	57	(	(	PUNCT
ejpam-4127	29	58	k	k	NOUN
ejpam-4127	29	59	−	−	PROPN
ejpam-4127	29	60	k1)-cost	k1)-cost	ADV
ejpam-4127	29	61	effective	effective	ADJ
ejpam-4127	29	62	dominating	dominating	NOUN
ejpam-4127	29	63	set	set	VERB
ejpam-4127	29	64	in	in	ADP
ejpam-4127	29	65	g	g	PROPN
ejpam-4127	29	66	,	,	PUNCT
ejpam-4127	29	67	where	where	SCONJ
ejpam-4127	29	68	k1	k1	NOUN
ejpam-4127	29	69	=	=	SYM
ejpam-4127	29	70	|v	|v	PROPN
ejpam-4127	29	71	(	(	PUNCT
ejpam-4127	29	72	h)|	h)|	PROPN
ejpam-4127	29	73	−	−	PROPN
ejpam-4127	29	74	2|v	2|v	PROPN
ejpam-4127	29	75	(	(	PUNCT
ejpam-4127	29	76	h	h	NOUN
ejpam-4127	29	77	)	)	PUNCT
ejpam-4127	29	78	∩	∩	NOUN
ejpam-4127	29	79	s|	s|	NOUN
ejpam-4127	29	80	and	and	CCONJ
ejpam-4127	29	81	v	v	NOUN
ejpam-4127	29	82	(	(	PUNCT
ejpam-4127	29	83	h	h	NOUN
ejpam-4127	29	84	)	)	PUNCT
ejpam-4127	29	85	∩	∩	NOUN
ejpam-4127	29	86	s	s	PART
ejpam-4127	29	87	is	be	AUX
ejpam-4127	29	88	(	(	PUNCT
ejpam-4127	29	89	k	k	NOUN
ejpam-4127	29	90	−	−	PROPN
ejpam-4127	29	91	k2)-cost	k2)-cost	ADV
ejpam-4127	29	92	effective	effective	ADJ
ejpam-4127	29	93	dominating	dominating	NOUN
ejpam-4127	29	94	set	set	VERB
ejpam-4127	29	95	in	in	ADP
ejpam-4127	29	96	h	h	NOUN
ejpam-4127	29	97	,	,	PUNCT
ejpam-4127	29	98	where	where	SCONJ
ejpam-4127	29	99	k2	k2	PROPN
ejpam-4127	29	100	=	=	SYM
ejpam-4127	29	101	|v	|v	PROPN
ejpam-4127	29	102	(	(	PUNCT
ejpam-4127	29	103	g)|	g)|	PROPN
ejpam-4127	29	104	−	−	PROPN
ejpam-4127	29	105	2|v	2|v	PROPN
ejpam-4127	29	106	(	(	PUNCT
ejpam-4127	29	107	g	g	NOUN
ejpam-4127	29	108	)	)	PUNCT
ejpam-4127	29	109	∩	∩	NOUN
ejpam-4127	29	110	s|	s|	VERB
ejpam-4127	29	111	.	.	PUNCT
ejpam-4127	30	1	proof	proof	NOUN
ejpam-4127	30	2	:	:	PUNCT
ejpam-4127	30	3	let	let	VERB
ejpam-4127	30	4	k	k	PROPN
ejpam-4127	30	5	≥	≥	PRON
ejpam-4127	30	6	max{|v	max{|v	PROPN
ejpam-4127	30	7	(	(	PUNCT
ejpam-4127	30	8	g)|	g)|	PROPN
ejpam-4127	30	9	,	,	PUNCT
ejpam-4127	30	10	|v	|v	PROPN
ejpam-4127	30	11	(	(	PUNCT
ejpam-4127	30	12	h)|	h)|	NOUN
ejpam-4127	30	13	}	}	PUNCT
ejpam-4127	30	14	,	,	PUNCT
ejpam-4127	30	15	and	and	CCONJ
ejpam-4127	30	16	s	s	VERB
ejpam-4127	30	17	⊆	⊆	NUM
ejpam-4127	30	18	v	v	NOUN
ejpam-4127	30	19	(	(	PUNCT
ejpam-4127	30	20	g	g	PROPN
ejpam-4127	30	21	+	+	NOUN
ejpam-4127	30	22	h	h	NOUN
ejpam-4127	30	23	)	)	PUNCT
ejpam-4127	30	24	.	.	PUNCT
ejpam-4127	31	1	suppose	suppose	VERB
ejpam-4127	31	2	s	s	PRON
ejpam-4127	31	3	is	be	AUX
ejpam-4127	31	4	a	a	DET
ejpam-4127	31	5	k	k	ADJ
ejpam-4127	31	6	-	-	PUNCT
ejpam-4127	31	7	cost	cost	NOUN
ejpam-4127	31	8	effective	effective	ADJ
ejpam-4127	31	9	dominating	dominating	NOUN
ejpam-4127	31	10	set	set	VERB
ejpam-4127	31	11	in	in	ADP
ejpam-4127	31	12	g+h	g+h	PROPN
ejpam-4127	31	13	and	and	CCONJ
ejpam-4127	31	14	let	let	VERB
ejpam-4127	31	15	x	x	PROPN
ejpam-4127	31	16	∈	∈	PROPN
ejpam-4127	31	17	s.	s.	PROPN
ejpam-4127	31	18	then	then	ADV
ejpam-4127	31	19	|ng+h(x	|ng+h(x	PROPN
ejpam-4127	31	20	)	)	PUNCT
ejpam-4127	31	21	\	\	PROPN
ejpam-4127	31	22	s|	s|	VERB
ejpam-4127	31	23	−	−	PROPN
ejpam-4127	31	24	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	31	25	)	)	PUNCT
ejpam-4127	31	26	∩	∩	NOUN
ejpam-4127	31	27	s|	s|	VERB
ejpam-4127	31	28	≥	≥	NOUN
ejpam-4127	31	29	k.	k.	PROPN
ejpam-4127	31	30	suppose	suppose	VERB
ejpam-4127	31	31	s	s	VERB
ejpam-4127	31	32	⊆	⊆	NUM
ejpam-4127	31	33	v	v	NOUN
ejpam-4127	31	34	(	(	PUNCT
ejpam-4127	31	35	g	g	NOUN
ejpam-4127	31	36	)	)	PUNCT
ejpam-4127	31	37	.	.	PUNCT
ejpam-4127	32	1	then	then	ADV
ejpam-4127	32	2	s	s	VERB
ejpam-4127	32	3	is	be	AUX
ejpam-4127	32	4	a	a	DET
ejpam-4127	32	5	dominating	dominating	NOUN
ejpam-4127	32	6	set	set	VERB
ejpam-4127	32	7	in	in	ADP
ejpam-4127	32	8	g.	g.	PROPN
ejpam-4127	32	9	now	now	ADV
ejpam-4127	32	10	,	,	PUNCT
ejpam-4127	32	11	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	32	12	)	)	PUNCT
ejpam-4127	32	13	\	\	PROPN
ejpam-4127	32	14	s|	s|	VERB
ejpam-4127	32	15	−	−	PROPN
ejpam-4127	32	16	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	32	17	)	)	PUNCT
ejpam-4127	32	18	∩	∩	NOUN
ejpam-4127	32	19	s|	s|	VERB
ejpam-4127	32	20	=	=	SYM
ejpam-4127	32	21	|v	|v	X
ejpam-4127	32	22	(	(	PUNCT
ejpam-4127	32	23	h)|+	h)|+	ADJ
ejpam-4127	32	24	|ng(x	|ng(x	NOUN
ejpam-4127	32	25	)	)	PUNCT
ejpam-4127	32	26	\	\	NOUN
ejpam-4127	33	1	s|	s|	VERB
ejpam-4127	33	2	−	−	NOUN
ejpam-4127	33	3	|ng(x	|ng(x	SYM
ejpam-4127	33	4	)	)	PUNCT
ejpam-4127	33	5	∩	∩	NOUN
ejpam-4127	33	6	s|	s|	VERB
ejpam-4127	33	7	≥	≥	NOUN
ejpam-4127	33	8	k.	k.	NOUN
ejpam-4127	34	1	this	this	PRON
ejpam-4127	34	2	implies	imply	VERB
ejpam-4127	34	3	that	that	SCONJ
ejpam-4127	34	4	,	,	PUNCT
ejpam-4127	34	5	|ng(x	|ng(x	NUM
ejpam-4127	34	6	)	)	PUNCT
ejpam-4127	34	7	\	\	NOUN
ejpam-4127	34	8	s|	s|	VERB
ejpam-4127	34	9	−	−	NOUN
ejpam-4127	34	10	|ng(x	|ng(x	SYM
ejpam-4127	34	11	)	)	PUNCT
ejpam-4127	34	12	∩	∩	NOUN
ejpam-4127	34	13	s|	s|	VERB
ejpam-4127	34	14	≥	≥	NUM
ejpam-4127	35	1	k	k	NOUN
ejpam-4127	35	2	−	−	PROPN
ejpam-4127	35	3	|v	|v	PROPN
ejpam-4127	35	4	(	(	PUNCT
ejpam-4127	35	5	h)|	h)|	PROPN
ejpam-4127	35	6	.	.	PUNCT
ejpam-4127	36	1	hence	hence	ADV
ejpam-4127	36	2	,	,	PUNCT
ejpam-4127	36	3	s	s	VERB
ejpam-4127	36	4	is	be	AUX
ejpam-4127	36	5	(	(	PUNCT
ejpam-4127	36	6	k	k	PROPN
ejpam-4127	36	7	−	−	PROPN
ejpam-4127	36	8	|v	|v	PROPN
ejpam-4127	36	9	(	(	PUNCT
ejpam-4127	36	10	h)|)-cost	h)|)-cost	X
ejpam-4127	36	11	effective	effective	ADJ
ejpam-4127	36	12	dominating	dominating	NOUN
ejpam-4127	36	13	set	set	VERB
ejpam-4127	36	14	in	in	ADP
ejpam-4127	36	15	g.	g.	PROPN
ejpam-4127	36	16	similarly	similarly	ADV
ejpam-4127	36	17	,	,	PUNCT
ejpam-4127	36	18	if	if	SCONJ
ejpam-4127	36	19	s	s	VERB
ejpam-4127	36	20	⊆	⊆	NUM
ejpam-4127	36	21	v	v	NOUN
ejpam-4127	36	22	(	(	PUNCT
ejpam-4127	36	23	h	h	NOUN
ejpam-4127	36	24	)	)	PUNCT
ejpam-4127	36	25	,	,	PUNCT
ejpam-4127	36	26	then	then	ADV
ejpam-4127	36	27	s	s	VERB
ejpam-4127	36	28	is	be	AUX
ejpam-4127	36	29	(	(	PUNCT
ejpam-4127	36	30	k	k	PROPN
ejpam-4127	36	31	−	−	PROPN
ejpam-4127	36	32	|v	|v	PROPN
ejpam-4127	36	33	(	(	PUNCT
ejpam-4127	36	34	g)|)-cost	g)|)-cost	NOUN
ejpam-4127	36	35	effective	effective	ADJ
ejpam-4127	36	36	dominating	dominating	NOUN
ejpam-4127	36	37	set	set	VERB
ejpam-4127	36	38	in	in	ADP
ejpam-4127	36	39	h.	h.	PROPN
ejpam-4127	36	40	suppose	suppose	VERB
ejpam-4127	36	41	that	that	SCONJ
ejpam-4127	36	42	s1	s1	PROPN
ejpam-4127	36	43	=	=	SYM
ejpam-4127	36	44	v	v	PROPN
ejpam-4127	36	45	(	(	PUNCT
ejpam-4127	36	46	g)∩s	g)∩s	PROPN
ejpam-4127	36	47	̸=	̸=	PROPN
ejpam-4127	36	48	∅	∅	NOUN
ejpam-4127	36	49	and	and	CCONJ
ejpam-4127	36	50	s2	s2	PROPN
ejpam-4127	36	51	=	=	SYM
ejpam-4127	36	52	v	v	PROPN
ejpam-4127	36	53	(	(	PUNCT
ejpam-4127	36	54	h)∩s	h)∩s	PROPN
ejpam-4127	36	55	̸=	̸=	PROPN
ejpam-4127	36	56	∅.	∅.	ADV
ejpam-4127	36	57	since	since	SCONJ
ejpam-4127	36	58	s	s	PROPN
ejpam-4127	36	59	is	be	AUX
ejpam-4127	36	60	a	a	DET
ejpam-4127	36	61	k	k	ADJ
ejpam-4127	36	62	-	-	PUNCT
ejpam-4127	36	63	cost	cost	NOUN
ejpam-4127	36	64	effective	effective	ADJ
ejpam-4127	36	65	dominating	dominating	NOUN
ejpam-4127	36	66	set	set	VERB
ejpam-4127	36	67	in	in	ADP
ejpam-4127	36	68	g+h	g+h	PROPN
ejpam-4127	36	69	,	,	PUNCT
ejpam-4127	36	70	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	36	71	)	)	PUNCT
ejpam-4127	36	72	\	\	PROPN
ejpam-4127	36	73	s|	s|	VERB
ejpam-4127	36	74	−	−	PROPN
ejpam-4127	36	75	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	36	76	)	)	PUNCT
ejpam-4127	37	1	∩	∩	NOUN
ejpam-4127	37	2	s|	s|	VERB
ejpam-4127	37	3	≥	≥	NOUN
ejpam-4127	37	4	k.	k.	INTJ
ejpam-4127	37	5	let	let	VERB
ejpam-4127	37	6	x	x	PUNCT
ejpam-4127	37	7	∈	∈	PROPN
ejpam-4127	37	8	s1	s1	PROPN
ejpam-4127	37	9	⊆	⊆	NUM
ejpam-4127	37	10	s.	s.	PROPN
ejpam-4127	37	11	then	then	ADV
ejpam-4127	37	12	|ng+h(x	|ng+h(x	PROPN
ejpam-4127	37	13	)	)	PUNCT
ejpam-4127	37	14	\	\	PROPN
ejpam-4127	37	15	s|	s|	VERB
ejpam-4127	37	16	−	−	PROPN
ejpam-4127	37	17	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	37	18	)	)	PUNCT
ejpam-4127	37	19	∩	∩	NOUN
ejpam-4127	37	20	s|	s|	VERB
ejpam-4127	37	21	=	=	SYM
ejpam-4127	38	1	|ng(x	|ng(x	X
ejpam-4127	38	2	)	)	PUNCT
ejpam-4127	38	3	\	\	NOUN
ejpam-4127	38	4	s1|+	s1|+	PROPN
ejpam-4127	38	5	|v	|v	PROPN
ejpam-4127	38	6	(	(	PUNCT
ejpam-4127	38	7	h	h	NOUN
ejpam-4127	38	8	)	)	PUNCT
ejpam-4127	38	9	\	\	NOUN
ejpam-4127	38	10	s2|	s2|	PROPN
ejpam-4127	39	1	−	−	NOUN
ejpam-4127	39	2	|ng(x	|ng(x	NUM
ejpam-4127	39	3	)	)	PUNCT
ejpam-4127	39	4	∩	∩	ADJ
ejpam-4127	39	5	s1|	s1|	PROPN
ejpam-4127	39	6	−	−	PROPN
ejpam-4127	39	7	|s2|	|s2|	NOUN
ejpam-4127	39	8	j.	j.	PROPN
ejpam-4127	39	9	b.	b.	PROPN
ejpam-4127	39	10	palco	palco	PROPN
ejpam-4127	39	11	,	,	PUNCT
ejpam-4127	39	12	r.	r.	PROPN
ejpam-4127	39	13	n.	n.	PROPN
ejpam-4127	39	14	paluga	paluga	PROPN
ejpam-4127	39	15	,	,	PUNCT
ejpam-4127	39	16	g.	g.	PROPN
ejpam-4127	39	17	a.	a.	PROPN
ejpam-4127	39	18	malacas	malacas	PROPN
ejpam-4127	39	19	/	/	SYM
ejpam-4127	39	20	eur	eur	PROPN
ejpam-4127	39	21	.	.	PUNCT
ejpam-4127	40	1	j.	j.	PROPN
ejpam-4127	40	2	pure	pure	PROPN
ejpam-4127	40	3	appl	appl	PROPN
ejpam-4127	40	4	.	.	PROPN
ejpam-4127	40	5	math	math	PROPN
ejpam-4127	40	6	,	,	PUNCT
ejpam-4127	40	7	14	14	NUM
ejpam-4127	40	8	(	(	PUNCT
ejpam-4127	40	9	4	4	NUM
ejpam-4127	40	10	)	)	PUNCT
ejpam-4127	40	11	(	(	PUNCT
ejpam-4127	40	12	2021	2021	NUM
ejpam-4127	40	13	)	)	PUNCT
ejpam-4127	40	14	,	,	PUNCT
ejpam-4127	40	15	1324	1324	NUM
ejpam-4127	40	16	-	-	SYM
ejpam-4127	40	17	1336	1336	NUM
ejpam-4127	40	18	1326	1326	NUM
ejpam-4127	40	19	=	=	SYM
ejpam-4127	40	20	|ng(x	|ng(x	NUM
ejpam-4127	40	21	)	)	PUNCT
ejpam-4127	40	22	\	\	NOUN
ejpam-4127	40	23	s1|+	s1|+	PROPN
ejpam-4127	40	24	|v	|v	PROPN
ejpam-4127	40	25	(	(	PUNCT
ejpam-4127	40	26	h)|	h)|	NOUN
ejpam-4127	40	27	−	−	PROPN
ejpam-4127	40	28	|s2|	|s2|	NOUN
ejpam-4127	40	29	−	−	PROPN
ejpam-4127	40	30	|ng(x	|ng(x	NUM
ejpam-4127	40	31	)	)	PUNCT
ejpam-4127	40	32	∩	∩	ADJ
ejpam-4127	40	33	s1|	s1|	PROPN
ejpam-4127	40	34	−	−	PROPN
ejpam-4127	40	35	|s2|	|s2|	NOUN
ejpam-4127	40	36	=	=	SYM
ejpam-4127	40	37	|ng(x	|ng(x	NUM
ejpam-4127	40	38	)	)	PUNCT
ejpam-4127	40	39	\	\	NOUN
ejpam-4127	40	40	s1|	s1|	PROPN
ejpam-4127	40	41	−	−	PROPN
ejpam-4127	40	42	|ng(x	|ng(x	NUM
ejpam-4127	40	43	)	)	PUNCT
ejpam-4127	40	44	∩	∩	NOUN
ejpam-4127	40	45	s1|+	s1|+	PRON
ejpam-4127	40	46	|v	|v	PROPN
ejpam-4127	40	47	(	(	PUNCT
ejpam-4127	40	48	h)|	h)|	NOUN
ejpam-4127	40	49	−	−	PROPN
ejpam-4127	40	50	2|s2|	2|s2|	NUM
ejpam-4127	40	51	.	.	PUNCT
ejpam-4127	41	1	this	this	PRON
ejpam-4127	41	2	implies	imply	VERB
ejpam-4127	41	3	that	that	SCONJ
ejpam-4127	41	4	,	,	PUNCT
ejpam-4127	41	5	|ng(x	|ng(x	NUM
ejpam-4127	41	6	)	)	PUNCT
ejpam-4127	41	7	\	\	NOUN
ejpam-4127	41	8	s1|	s1|	PROPN
ejpam-4127	41	9	−	−	PROPN
ejpam-4127	41	10	|ng(x	|ng(x	NUM
ejpam-4127	41	11	)	)	PUNCT
ejpam-4127	41	12	∩	∩	PROPN
ejpam-4127	41	13	s1|	s1|	PROPN
ejpam-4127	41	14	≥	≥	X
ejpam-4127	41	15	k	k	NOUN
ejpam-4127	41	16	−	−	PROPN
ejpam-4127	41	17	|v	|v	PROPN
ejpam-4127	41	18	(	(	PUNCT
ejpam-4127	41	19	h)|+	h)|+	ADJ
ejpam-4127	41	20	2|v	2|v	NOUN
ejpam-4127	41	21	(	(	PUNCT
ejpam-4127	41	22	h	h	NOUN
ejpam-4127	41	23	)	)	PUNCT
ejpam-4127	41	24	∩	∩	NOUN
ejpam-4127	41	25	s|	s|	NOUN
ejpam-4127	41	26	=	=	PUNCT
ejpam-4127	42	1	k	k	X
ejpam-4127	42	2	−	−	PROPN
ejpam-4127	42	3	(	(	PUNCT
ejpam-4127	42	4	|v	|v	PROPN
ejpam-4127	42	5	(	(	PUNCT
ejpam-4127	42	6	h)|	h)|	PROPN
ejpam-4127	42	7	−	−	PROPN
ejpam-4127	42	8	2|v	2|v	PROPN
ejpam-4127	42	9	(	(	PUNCT
ejpam-4127	42	10	h	h	NOUN
ejpam-4127	42	11	)	)	PUNCT
ejpam-4127	42	12	∩	∩	NOUN
ejpam-4127	42	13	s|	s|	PROPN
ejpam-4127	42	14	)	)	PUNCT
ejpam-4127	42	15	=	=	SYM
ejpam-4127	43	1	k	k	PROPN
ejpam-4127	43	2	−	−	PROPN
ejpam-4127	43	3	k1	k1	PROPN
ejpam-4127	43	4	,	,	PUNCT
ejpam-4127	43	5	where	where	SCONJ
ejpam-4127	43	6	k1	k1	NOUN
ejpam-4127	43	7	=	=	SYM
ejpam-4127	43	8	|v	|v	PROPN
ejpam-4127	43	9	(	(	PUNCT
ejpam-4127	43	10	h)|−2|v	h)|−2|v	PROPN
ejpam-4127	43	11	(	(	PUNCT
ejpam-4127	43	12	h)∩s|	h)∩s|	ADV
ejpam-4127	43	13	.	.	PUNCT
ejpam-4127	44	1	thus	thus	ADV
ejpam-4127	44	2	,	,	PUNCT
ejpam-4127	44	3	s1	s1	PROPN
ejpam-4127	44	4	=	=	SYM
ejpam-4127	44	5	v	v	PROPN
ejpam-4127	44	6	(	(	PUNCT
ejpam-4127	44	7	g)∩s	g)∩s	PROPN
ejpam-4127	44	8	is	be	AUX
ejpam-4127	44	9	(	(	PUNCT
ejpam-4127	44	10	k−k1)-cost	k−k1)-cost	ADJ
ejpam-4127	44	11	effective	effective	ADJ
ejpam-4127	44	12	dominating	dominating	NOUN
ejpam-4127	44	13	set	set	VERB
ejpam-4127	44	14	in	in	ADP
ejpam-4127	44	15	g.	g.	PROPN
ejpam-4127	44	16	similarly	similarly	ADV
ejpam-4127	44	17	,	,	PUNCT
ejpam-4127	44	18	s2	s2	PROPN
ejpam-4127	44	19	=	=	SYM
ejpam-4127	44	20	v	v	PROPN
ejpam-4127	44	21	(	(	PUNCT
ejpam-4127	44	22	h	h	NOUN
ejpam-4127	44	23	)	)	PUNCT
ejpam-4127	44	24	∩	∩	NOUN
ejpam-4127	44	25	s	s	PART
ejpam-4127	44	26	is	be	AUX
ejpam-4127	44	27	(	(	PUNCT
ejpam-4127	44	28	k	k	NOUN
ejpam-4127	44	29	−	−	PROPN
ejpam-4127	44	30	k2)-cost	k2)-cost	ADV
ejpam-4127	44	31	effective	effective	ADJ
ejpam-4127	44	32	dominating	dominating	NOUN
ejpam-4127	44	33	set	set	VERB
ejpam-4127	44	34	in	in	ADP
ejpam-4127	44	35	h.	h.	NOUN
ejpam-4127	44	36	conversely	conversely	ADV
ejpam-4127	44	37	,	,	PUNCT
ejpam-4127	44	38	suppose	suppose	VERB
ejpam-4127	44	39	that	that	SCONJ
ejpam-4127	44	40	s	s	VERB
ejpam-4127	44	41	satisfies	satisfie	NOUN
ejpam-4127	44	42	property	property	NOUN
ejpam-4127	44	43	(	(	PUNCT
ejpam-4127	44	44	i	i	NOUN
ejpam-4127	44	45	)	)	PUNCT
ejpam-4127	44	46	.	.	PUNCT
ejpam-4127	45	1	then	then	ADV
ejpam-4127	45	2	s	s	VERB
ejpam-4127	45	3	is	be	AUX
ejpam-4127	45	4	a	a	DET
ejpam-4127	45	5	dominating	dominating	NOUN
ejpam-4127	45	6	set	set	NOUN
ejpam-4127	45	7	in	in	ADP
ejpam-4127	45	8	g+h	g+h	PROPN
ejpam-4127	45	9	and	and	CCONJ
ejpam-4127	45	10	|ng(x	|ng(x	PRON
ejpam-4127	45	11	)	)	PUNCT
ejpam-4127	45	12	\	\	NOUN
ejpam-4127	45	13	s|	s|	VERB
ejpam-4127	45	14	−	−	NOUN
ejpam-4127	45	15	|ng(x	|ng(x	SYM
ejpam-4127	45	16	)	)	PUNCT
ejpam-4127	45	17	∩	∩	NOUN
ejpam-4127	45	18	s|	s|	VERB
ejpam-4127	45	19	≥	≥	NUM
ejpam-4127	45	20	k	k	NOUN
ejpam-4127	45	21	−	−	PROPN
ejpam-4127	45	22	|v	|v	PROPN
ejpam-4127	45	23	(	(	PUNCT
ejpam-4127	45	24	h)|	h)|	PROPN
ejpam-4127	45	25	,	,	PUNCT
ejpam-4127	45	26	∀x	∀x	X
ejpam-4127	45	27	∈	∈	PROPN
ejpam-4127	45	28	s.	s.	PROPN
ejpam-4127	45	29	now	now	ADV
ejpam-4127	45	30	,	,	PUNCT
ejpam-4127	45	31	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	45	32	)	)	PUNCT
ejpam-4127	45	33	\	\	PROPN
ejpam-4127	45	34	s|	s|	VERB
ejpam-4127	45	35	−	−	PROPN
ejpam-4127	45	36	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	45	37	)	)	PUNCT
ejpam-4127	45	38	∩	∩	NOUN
ejpam-4127	45	39	s|	s|	VERB
ejpam-4127	45	40	=	=	SYM
ejpam-4127	45	41	|v	|v	X
ejpam-4127	45	42	(	(	PUNCT
ejpam-4127	45	43	h)|+	h)|+	ADJ
ejpam-4127	45	44	|ng(x	|ng(x	NOUN
ejpam-4127	45	45	)	)	PUNCT
ejpam-4127	45	46	\	\	NOUN
ejpam-4127	46	1	s|	s|	VERB
ejpam-4127	46	2	−	−	NOUN
ejpam-4127	46	3	|ng(x	|ng(x	SYM
ejpam-4127	46	4	)	)	PUNCT
ejpam-4127	46	5	∩	∩	NOUN
ejpam-4127	46	6	s|	s|	VERB
ejpam-4127	46	7	≥	≥	NUM
ejpam-4127	46	8	|v	|v	X
ejpam-4127	46	9	(	(	PUNCT
ejpam-4127	46	10	h)|+	h)|+	NOUN
ejpam-4127	46	11	k	k	PROPN
ejpam-4127	46	12	−	−	PROPN
ejpam-4127	46	13	|v	|v	PROPN
ejpam-4127	46	14	(	(	PUNCT
ejpam-4127	46	15	h)|	h)|	NOUN
ejpam-4127	46	16	=	=	SYM
ejpam-4127	46	17	k	k	PROPN
ejpam-4127	46	18	,	,	PUNCT
ejpam-4127	46	19	for	for	ADP
ejpam-4127	46	20	all	all	DET
ejpam-4127	46	21	x	x	SYM
ejpam-4127	46	22	∈	∈	PROPN
ejpam-4127	46	23	s.	s.	PROPN
ejpam-4127	46	24	since	since	SCONJ
ejpam-4127	46	25	x	x	PRON
ejpam-4127	46	26	is	be	AUX
ejpam-4127	46	27	arbitrary	arbitrary	ADJ
ejpam-4127	46	28	,	,	PUNCT
ejpam-4127	46	29	s	s	PART
ejpam-4127	46	30	is	be	AUX
ejpam-4127	46	31	a	a	DET
ejpam-4127	46	32	k	k	ADJ
ejpam-4127	46	33	-	-	PUNCT
ejpam-4127	46	34	cost	cost	NOUN
ejpam-4127	46	35	effective	effective	ADJ
ejpam-4127	46	36	dominating	dominating	NOUN
ejpam-4127	46	37	set	set	VERB
ejpam-4127	46	38	in	in	ADP
ejpam-4127	46	39	g+h	g+h	PROPN
ejpam-4127	46	40	.	.	PUNCT
ejpam-4127	47	1	similarly	similarly	ADV
ejpam-4127	47	2	,	,	PUNCT
ejpam-4127	47	3	if	if	SCONJ
ejpam-4127	47	4	s	s	PART
ejpam-4127	47	5	satisfies	satisfie	NOUN
ejpam-4127	47	6	property	property	NOUN
ejpam-4127	47	7	(	(	PUNCT
ejpam-4127	47	8	ii	ii	NOUN
ejpam-4127	47	9	)	)	PUNCT
ejpam-4127	47	10	,	,	PUNCT
ejpam-4127	47	11	then	then	ADV
ejpam-4127	47	12	s	s	VERB
ejpam-4127	47	13	is	be	AUX
ejpam-4127	47	14	a	a	DET
ejpam-4127	47	15	k	k	ADJ
ejpam-4127	47	16	-	-	PUNCT
ejpam-4127	47	17	cost	cost	NOUN
ejpam-4127	47	18	effective	effective	ADJ
ejpam-4127	47	19	dominating	dominating	NOUN
ejpam-4127	47	20	set	set	VERB
ejpam-4127	47	21	in	in	ADP
ejpam-4127	47	22	g+h	g+h	PROPN
ejpam-4127	47	23	.	.	PUNCT
ejpam-4127	48	1	suppose	suppose	VERB
ejpam-4127	48	2	s	s	PRON
ejpam-4127	48	3	satisfies	satisfie	NOUN
ejpam-4127	48	4	property	property	NOUN
ejpam-4127	48	5	(	(	PUNCT
ejpam-4127	48	6	iii	iii	NOUN
ejpam-4127	48	7	)	)	PUNCT
ejpam-4127	48	8	and	and	CCONJ
ejpam-4127	48	9	x	x	PUNCT
ejpam-4127	48	10	∈	∈	NOUN
ejpam-4127	48	11	v	v	ADP
ejpam-4127	48	12	(	(	PUNCT
ejpam-4127	48	13	g	g	NOUN
ejpam-4127	48	14	)	)	PUNCT
ejpam-4127	48	15	∩	∩	PROPN
ejpam-4127	48	16	s.	s.	PROPN
ejpam-4127	48	17	then	then	ADV
ejpam-4127	48	18	|ng(x	|ng(x	PRON
ejpam-4127	48	19	)	)	PUNCT
ejpam-4127	48	20	\	\	NOUN
ejpam-4127	48	21	s|	s|	VERB
ejpam-4127	48	22	−	−	NOUN
ejpam-4127	48	23	|ng(x	|ng(x	SYM
ejpam-4127	48	24	)	)	PUNCT
ejpam-4127	48	25	∩	∩	NOUN
ejpam-4127	48	26	s|	s|	VERB
ejpam-4127	48	27	≥	≥	NUM
ejpam-4127	49	1	k	k	NOUN
ejpam-4127	49	2	−	−	PROPN
ejpam-4127	49	3	k1	k1	PROPN
ejpam-4127	49	4	,	,	PUNCT
ejpam-4127	49	5	where	where	SCONJ
ejpam-4127	49	6	k1	k1	NOUN
ejpam-4127	49	7	=	=	SYM
ejpam-4127	49	8	|v	|v	PROPN
ejpam-4127	49	9	(	(	PUNCT
ejpam-4127	49	10	h)|	h)|	PROPN
ejpam-4127	49	11	−	−	PROPN
ejpam-4127	49	12	2|v	2|v	PROPN
ejpam-4127	49	13	(	(	PUNCT
ejpam-4127	49	14	h	h	NOUN
ejpam-4127	49	15	)	)	PUNCT
ejpam-4127	49	16	∩	∩	NOUN
ejpam-4127	49	17	s|	s|	VERB
ejpam-4127	49	18	.	.	PUNCT
ejpam-4127	50	1	now	now	ADV
ejpam-4127	50	2	,	,	PUNCT
ejpam-4127	50	3	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	50	4	)	)	PUNCT
ejpam-4127	50	5	\	\	PROPN
ejpam-4127	50	6	s|	s|	VERB
ejpam-4127	50	7	−	−	PROPN
ejpam-4127	50	8	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	50	9	)	)	PUNCT
ejpam-4127	50	10	∩	∩	NOUN
ejpam-4127	50	11	s|	s|	VERB
ejpam-4127	50	12	=	=	SYM
ejpam-4127	50	13	|ng(x	|ng(x	X
ejpam-4127	50	14	)	)	PUNCT
ejpam-4127	50	15	\	\	NOUN
ejpam-4127	51	1	s|+	s|+	NOUN
ejpam-4127	51	2	|v	|v	NOUN
ejpam-4127	51	3	(	(	PUNCT
ejpam-4127	51	4	h	h	NOUN
ejpam-4127	51	5	)	)	PUNCT
ejpam-4127	51	6	\	\	NOUN
ejpam-4127	51	7	s|	s|	VERB
ejpam-4127	51	8	−	−	NOUN
ejpam-4127	51	9	|ng(x	|ng(x	SYM
ejpam-4127	51	10	)	)	PUNCT
ejpam-4127	51	11	∩	∩	NOUN
ejpam-4127	51	12	s|+	s|+	PROPN
ejpam-4127	51	13	|v	|v	NOUN
ejpam-4127	51	14	(	(	PUNCT
ejpam-4127	51	15	h	h	NOUN
ejpam-4127	51	16	)	)	PUNCT
ejpam-4127	51	17	∩	∩	NOUN
ejpam-4127	51	18	s|	s|	NOUN
ejpam-4127	51	19	=	=	SYM
ejpam-4127	51	20	|ng(x	|ng(x	X
ejpam-4127	51	21	)	)	PUNCT
ejpam-4127	51	22	\	\	NOUN
ejpam-4127	51	23	s|	s|	VERB
ejpam-4127	51	24	−	−	NOUN
ejpam-4127	51	25	|ng(x	|ng(x	SYM
ejpam-4127	51	26	)	)	PUNCT
ejpam-4127	51	27	∩	∩	NOUN
ejpam-4127	51	28	s|+	s|+	PROPN
ejpam-4127	51	29	|v	|v	NOUN
ejpam-4127	51	30	(	(	PUNCT
ejpam-4127	51	31	h	h	NOUN
ejpam-4127	51	32	)	)	PUNCT
ejpam-4127	51	33	\	\	NOUN
ejpam-4127	51	34	s|	s|	VERB
ejpam-4127	51	35	−	−	PROPN
ejpam-4127	51	36	|v	|v	NOUN
ejpam-4127	51	37	(	(	PUNCT
ejpam-4127	51	38	h	h	NOUN
ejpam-4127	51	39	)	)	PUNCT
ejpam-4127	51	40	∩	∩	NOUN
ejpam-4127	51	41	s|	s|	NOUN
ejpam-4127	51	42	=	=	SYM
ejpam-4127	51	43	|ng(x	|ng(x	X
ejpam-4127	51	44	)	)	PUNCT
ejpam-4127	51	45	\	\	NOUN
ejpam-4127	51	46	s|	s|	VERB
ejpam-4127	51	47	−	−	NOUN
ejpam-4127	51	48	|ng(x	|ng(x	SYM
ejpam-4127	51	49	)	)	PUNCT
ejpam-4127	52	1	∩	∩	NOUN
ejpam-4127	52	2	s|+	s|+	PROPN
ejpam-4127	52	3	|v	|v	NOUN
ejpam-4127	52	4	(	(	PUNCT
ejpam-4127	52	5	h)|	h)|	PROPN
ejpam-4127	52	6	−	−	PROPN
ejpam-4127	52	7	2|v	2|v	PROPN
ejpam-4127	52	8	(	(	PUNCT
ejpam-4127	52	9	h	h	NOUN
ejpam-4127	52	10	)	)	PUNCT
ejpam-4127	52	11	∩	∩	NOUN
ejpam-4127	52	12	s|	s|	VERB
ejpam-4127	52	13	≥	≥	NUM
ejpam-4127	52	14	k	k	NOUN
ejpam-4127	53	1	−	−	PROPN
ejpam-4127	53	2	k1	k1	NOUN
ejpam-4127	53	3	+	+	CCONJ
ejpam-4127	53	4	k1	k1	NOUN
ejpam-4127	53	5	=	=	SYM
ejpam-4127	53	6	k.	k.	PROPN
ejpam-4127	53	7	similarly	similarly	ADV
ejpam-4127	53	8	,	,	PUNCT
ejpam-4127	53	9	for	for	ADP
ejpam-4127	53	10	each	each	DET
ejpam-4127	53	11	x	x	SYM
ejpam-4127	53	12	∈	∈	PROPN
ejpam-4127	53	13	v	v	ADP
ejpam-4127	53	14	(	(	PUNCT
ejpam-4127	53	15	h	h	NOUN
ejpam-4127	53	16	)	)	PUNCT
ejpam-4127	53	17	∩	∩	PROPN
ejpam-4127	53	18	s	s	SYM
ejpam-4127	53	19	,	,	PUNCT
ejpam-4127	53	20	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	53	21	)	)	PUNCT
ejpam-4127	53	22	\	\	PROPN
ejpam-4127	53	23	s|	s|	VERB
ejpam-4127	53	24	−	−	PROPN
ejpam-4127	53	25	|ng+h(x	|ng+h(x	NOUN
ejpam-4127	53	26	)	)	PUNCT
ejpam-4127	53	27	∩	∩	NOUN
ejpam-4127	53	28	s|	s|	VERB
ejpam-4127	53	29	≥	≥	NUM
ejpam-4127	53	30	k.	k.	X
ejpam-4127	53	31	therefore	therefore	ADV
ejpam-4127	53	32	,	,	PUNCT
ejpam-4127	53	33	s	s	VERB
ejpam-4127	53	34	is	be	AUX
ejpam-4127	53	35	a	a	DET
ejpam-4127	53	36	k	k	ADJ
ejpam-4127	53	37	-	-	PUNCT
ejpam-4127	53	38	cost	cost	NOUN
ejpam-4127	53	39	effective	effective	ADJ
ejpam-4127	53	40	dominating	dominating	NOUN
ejpam-4127	53	41	set	set	VERB
ejpam-4127	53	42	in	in	ADP
ejpam-4127	53	43	g+h	g+h	PROPN
ejpam-4127	53	44	.	.	PUNCT
ejpam-4127	54	1	corollary	corollary	ADJ
ejpam-4127	54	2	1	1	NUM
ejpam-4127	54	3	.	.	PUNCT
ejpam-4127	55	1	let	let	VERB
ejpam-4127	55	2	g	g	NOUN
ejpam-4127	55	3	and	and	CCONJ
ejpam-4127	55	4	h	h	NOUN
ejpam-4127	55	5	be	be	AUX
ejpam-4127	55	6	connected	connect	VERB
ejpam-4127	55	7	graphs	graph	NOUN
ejpam-4127	55	8	,	,	PUNCT
ejpam-4127	55	9	k	k	X
ejpam-4127	55	10	≥	≥	NUM
ejpam-4127	55	11	max{|v	max{|v	PROPN
ejpam-4127	55	12	(	(	PUNCT
ejpam-4127	55	13	g)|	g)|	PROPN
ejpam-4127	55	14	,	,	PUNCT
ejpam-4127	55	15	|v	|v	PROPN
ejpam-4127	55	16	(	(	PUNCT
ejpam-4127	55	17	h)|	h)|	NOUN
ejpam-4127	55	18	}	}	PUNCT
ejpam-4127	55	19	.	.	PUNCT
ejpam-4127	56	1	if	if	SCONJ
ejpam-4127	56	2	s	s	PROPN
ejpam-4127	56	3	is	be	AUX
ejpam-4127	56	4	a	a	DET
ejpam-4127	56	5	k	k	ADJ
ejpam-4127	56	6	-	-	PUNCT
ejpam-4127	56	7	cost	cost	NOUN
ejpam-4127	56	8	effective	effective	ADJ
ejpam-4127	56	9	dominating	dominating	NOUN
ejpam-4127	56	10	set	set	VERB
ejpam-4127	56	11	in	in	ADP
ejpam-4127	56	12	g+h	g+h	PROPN
ejpam-4127	56	13	,	,	PUNCT
ejpam-4127	56	14	then	then	ADV
ejpam-4127	56	15	one	one	NUM
ejpam-4127	56	16	of	of	ADP
ejpam-4127	56	17	the	the	DET
ejpam-4127	56	18	following	follow	VERB
ejpam-4127	56	19	holds	hold	VERB
ejpam-4127	56	20	:	:	PUNCT
ejpam-4127	56	21	(	(	PUNCT
ejpam-4127	56	22	i	i	NOUN
ejpam-4127	56	23	)	)	PUNCT
ejpam-4127	56	24	s	s	VERB
ejpam-4127	56	25	⊆	⊆	NUM
ejpam-4127	56	26	v	v	NOUN
ejpam-4127	56	27	(	(	PUNCT
ejpam-4127	56	28	g	g	NOUN
ejpam-4127	56	29	)	)	PUNCT
ejpam-4127	56	30	and	and	CCONJ
ejpam-4127	56	31	k	k	PROPN
ejpam-4127	56	32	≤	≤	PROPN
ejpam-4127	56	33	η(g	η(g	PROPN
ejpam-4127	56	34	)	)	PUNCT
ejpam-4127	56	35	+	+	CCONJ
ejpam-4127	56	36	|v	|v	X
ejpam-4127	56	37	(	(	PUNCT
ejpam-4127	56	38	h)|	h)|	NOUN
ejpam-4127	56	39	;	;	PUNCT
ejpam-4127	56	40	(	(	PUNCT
ejpam-4127	56	41	ii	ii	NOUN
ejpam-4127	56	42	)	)	PUNCT
ejpam-4127	56	43	s	s	PART
ejpam-4127	56	44	⊆	⊆	NUM
ejpam-4127	56	45	v	v	NOUN
ejpam-4127	56	46	(	(	PUNCT
ejpam-4127	56	47	h	h	NOUN
ejpam-4127	56	48	)	)	PUNCT
ejpam-4127	56	49	and	and	CCONJ
ejpam-4127	56	50	k	k	PROPN
ejpam-4127	56	51	≤	≤	PROPN
ejpam-4127	56	52	η(h	η(h	PROPN
ejpam-4127	56	53	)	)	PUNCT
ejpam-4127	57	1	+	+	CCONJ
ejpam-4127	57	2	|v	|v	PROPN
ejpam-4127	57	3	(	(	PUNCT
ejpam-4127	57	4	g)|	g)|	PROPN
ejpam-4127	57	5	;	;	PUNCT
ejpam-4127	57	6	j.	j.	PROPN
ejpam-4127	57	7	b.	b.	PROPN
ejpam-4127	57	8	palco	palco	PROPN
ejpam-4127	57	9	,	,	PUNCT
ejpam-4127	57	10	r.	r.	PROPN
ejpam-4127	57	11	n.	n.	PROPN
ejpam-4127	57	12	paluga	paluga	PROPN
ejpam-4127	57	13	,	,	PUNCT
ejpam-4127	57	14	g.	g.	PROPN
ejpam-4127	57	15	a.	a.	PROPN
ejpam-4127	57	16	malacas	malacas	PROPN
ejpam-4127	57	17	/	/	SYM
ejpam-4127	57	18	eur	eur	PROPN
ejpam-4127	57	19	.	.	PUNCT
ejpam-4127	58	1	j.	j.	PROPN
ejpam-4127	58	2	pure	pure	PROPN
ejpam-4127	58	3	appl	appl	PROPN
ejpam-4127	58	4	.	.	PROPN
ejpam-4127	58	5	math	math	PROPN
ejpam-4127	58	6	,	,	PUNCT
ejpam-4127	58	7	14	14	NUM
ejpam-4127	58	8	(	(	PUNCT
ejpam-4127	58	9	4	4	NUM
ejpam-4127	58	10	)	)	PUNCT
ejpam-4127	58	11	(	(	PUNCT
ejpam-4127	58	12	2021	2021	NUM
ejpam-4127	58	13	)	)	PUNCT
ejpam-4127	58	14	,	,	PUNCT
ejpam-4127	58	15	1324	1324	NUM
ejpam-4127	58	16	-	-	SYM
ejpam-4127	58	17	1336	1336	NUM
ejpam-4127	58	18	1327	1327	NUM
ejpam-4127	58	19	(	(	PUNCT
ejpam-4127	58	20	iii	iii	X
ejpam-4127	58	21	)	)	PUNCT
ejpam-4127	58	22	k	k	PROPN
ejpam-4127	58	23	≤	≤	PROPN
ejpam-4127	58	24	min{η(g	min{η(g	PROPN
ejpam-4127	58	25	)	)	PUNCT
ejpam-4127	59	1	+	+	CCONJ
ejpam-4127	59	2	|v	|v	PROPN
ejpam-4127	59	3	(	(	PUNCT
ejpam-4127	59	4	h)|	h)|	PROPN
ejpam-4127	59	5	−	−	PROPN
ejpam-4127	59	6	2|v	2|v	PROPN
ejpam-4127	59	7	(	(	PUNCT
ejpam-4127	59	8	h	h	NOUN
ejpam-4127	59	9	)	)	PUNCT
ejpam-4127	59	10	∩	∩	NOUN
ejpam-4127	59	11	s|	s|	NOUN
ejpam-4127	59	12	,	,	PUNCT
ejpam-4127	59	13	η(h	η(h	PROPN
ejpam-4127	59	14	)	)	PUNCT
ejpam-4127	60	1	+	+	CCONJ
ejpam-4127	60	2	|v	|v	X
ejpam-4127	60	3	(	(	PUNCT
ejpam-4127	60	4	g)|	g)|	PROPN
ejpam-4127	60	5	−	−	PROPN
ejpam-4127	60	6	2|v	2|v	PROPN
ejpam-4127	60	7	(	(	PUNCT
ejpam-4127	60	8	g	g	NOUN
ejpam-4127	60	9	)	)	PUNCT
ejpam-4127	60	10	∩	∩	NOUN
ejpam-4127	60	11	s|	s|	PROPN
ejpam-4127	60	12	}	}	PUNCT
ejpam-4127	60	13	.	.	PUNCT
ejpam-4127	61	1	theorem	theorem	NOUN
ejpam-4127	61	2	2	2	NUM
ejpam-4127	61	3	.	.	PUNCT
ejpam-4127	62	1	let	let	VERB
ejpam-4127	62	2	g	g	NOUN
ejpam-4127	63	1	and	and	CCONJ
ejpam-4127	63	2	h	h	NOUN
ejpam-4127	63	3	be	be	AUX
ejpam-4127	63	4	connected	connect	VERB
ejpam-4127	63	5	graphs	graph	NOUN
ejpam-4127	63	6	such	such	ADJ
ejpam-4127	63	7	that	that	PRON
ejpam-4127	63	8	γ(g	γ(g	PROPN
ejpam-4127	63	9	)	)	PUNCT
ejpam-4127	64	1	=	=	SYM
ejpam-4127	64	2	1	1	NUM
ejpam-4127	64	3	or	or	CCONJ
ejpam-4127	64	4	γ(h	γ(h	NOUN
ejpam-4127	64	5	)	)	PUNCT
ejpam-4127	64	6	=	=	SYM
ejpam-4127	64	7	1	1	NUM
ejpam-4127	64	8	and	and	CCONJ
ejpam-4127	64	9	0	0	NUM
ejpam-4127	64	10	≤	≤	NUM
ejpam-4127	64	11	k	k	PROPN
ejpam-4127	64	12	≤	≤	PROPN
ejpam-4127	64	13	|v	|v	X
ejpam-4127	64	14	(	(	PUNCT
ejpam-4127	64	15	h)|+	h)|+	ADJ
ejpam-4127	64	16	|v	|v	NOUN
ejpam-4127	64	17	(	(	PUNCT
ejpam-4127	64	18	g)|	g)|	INTJ
ejpam-4127	64	19	−	−	NOUN
ejpam-4127	64	20	1	1	NUM
ejpam-4127	64	21	.	.	PUNCT
ejpam-4127	65	1	then	then	ADV
ejpam-4127	65	2	s	s	VERB
ejpam-4127	65	3	⊆	⊆	NUM
ejpam-4127	65	4	v	v	NOUN
ejpam-4127	65	5	(	(	PUNCT
ejpam-4127	65	6	g+h	g+h	PROPN
ejpam-4127	65	7	)	)	PUNCT
ejpam-4127	65	8	is	be	AUX
ejpam-4127	65	9	a	a	DET
ejpam-4127	65	10	γkce	γkce	NOUN
ejpam-4127	65	11	-	-	PUNCT
ejpam-4127	65	12	set	set	NOUN
ejpam-4127	65	13	in	in	ADP
ejpam-4127	65	14	g+h	g+h	PROPN
ejpam-4127	65	15	if	if	SCONJ
ejpam-4127	65	16	and	and	CCONJ
ejpam-4127	65	17	only	only	ADV
ejpam-4127	65	18	if	if	SCONJ
ejpam-4127	65	19	s	s	NOUN
ejpam-4127	65	20	is	be	AUX
ejpam-4127	65	21	a	a	DET
ejpam-4127	65	22	γ	γ	NOUN
ejpam-4127	65	23	-	-	PUNCT
ejpam-4127	65	24	set	set	NOUN
ejpam-4127	65	25	in	in	ADP
ejpam-4127	65	26	g	g	PROPN
ejpam-4127	65	27	or	or	CCONJ
ejpam-4127	65	28	s	s	NOUN
ejpam-4127	65	29	is	be	AUX
ejpam-4127	65	30	a	a	DET
ejpam-4127	65	31	γ	γ	NOUN
ejpam-4127	65	32	-	-	PUNCT
ejpam-4127	65	33	set	set	VERB
ejpam-4127	65	34	in	in	ADP
ejpam-4127	65	35	h.	h.	PROPN
ejpam-4127	65	36	corollary	corollary	PROPN
ejpam-4127	65	37	2	2	PROPN
ejpam-4127	65	38	.	.	PUNCT
ejpam-4127	66	1	let	let	VERB
ejpam-4127	66	2	g	g	NOUN
ejpam-4127	66	3	and	and	CCONJ
ejpam-4127	66	4	h	h	NOUN
ejpam-4127	66	5	be	be	AUX
ejpam-4127	66	6	connected	connect	VERB
ejpam-4127	66	7	graphs	graph	NOUN
ejpam-4127	66	8	such	such	ADJ
ejpam-4127	66	9	that	that	PRON
ejpam-4127	66	10	γ(g	γ(g	PROPN
ejpam-4127	66	11	)	)	PUNCT
ejpam-4127	67	1	=	=	SYM
ejpam-4127	67	2	1	1	NUM
ejpam-4127	67	3	or	or	CCONJ
ejpam-4127	67	4	γ(h	γ(h	NOUN
ejpam-4127	67	5	)	)	PUNCT
ejpam-4127	67	6	=	=	SYM
ejpam-4127	68	1	1	1	X
ejpam-4127	68	2	.	.	PUNCT
ejpam-4127	68	3	then	then	ADV
ejpam-4127	68	4	γkce(g+h	γkce(g+h	ADJ
ejpam-4127	68	5	)	)	PUNCT
ejpam-4127	68	6	=	=	PRON
ejpam-4127	68	7	{	{	PUNCT
ejpam-4127	68	8	1	1	NUM
ejpam-4127	68	9	,	,	PUNCT
ejpam-4127	68	10	if	if	SCONJ
ejpam-4127	68	11	0	0	NUM
ejpam-4127	68	12	≤	≤	NUM
ejpam-4127	68	13	k	k	X
ejpam-4127	68	14	≤	≤	PROPN
ejpam-4127	68	15	|v	|v	X
ejpam-4127	68	16	(	(	PUNCT
ejpam-4127	68	17	h)|+	h)|+	ADJ
ejpam-4127	68	18	|v	|v	NOUN
ejpam-4127	68	19	(	(	PUNCT
ejpam-4127	68	20	g)|	g)|	NOUN
ejpam-4127	68	21	−	−	PROPN
ejpam-4127	68	22	1	1	NUM
ejpam-4127	68	23	∞	∞	PROPN
ejpam-4127	68	24	,	,	PUNCT
ejpam-4127	68	25	if	if	SCONJ
ejpam-4127	68	26	k	k	PROPN
ejpam-4127	68	27	>	>	X
ejpam-4127	68	28	|v	|v	PROPN
ejpam-4127	68	29	(	(	PUNCT
ejpam-4127	68	30	h)|+	h)|+	ADJ
ejpam-4127	68	31	|v	|v	NOUN
ejpam-4127	68	32	(	(	PUNCT
ejpam-4127	68	33	g)|	g)|	NOUN
ejpam-4127	68	34	−	−	NOUN
ejpam-4127	68	35	1	1	NUM
ejpam-4127	68	36	.	.	PUNCT
ejpam-4127	68	37	corollary	corollary	ADJ
ejpam-4127	68	38	3	3	X
ejpam-4127	68	39	.	.	PUNCT
ejpam-4127	69	1	let	let	VERB
ejpam-4127	69	2	g	g	NOUN
ejpam-4127	69	3	and	and	CCONJ
ejpam-4127	69	4	h	h	NOUN
ejpam-4127	69	5	be	be	AUX
ejpam-4127	69	6	connected	connect	VERB
ejpam-4127	69	7	graphs	graph	NOUN
ejpam-4127	69	8	such	such	ADJ
ejpam-4127	69	9	that	that	PRON
ejpam-4127	69	10	γ(g	γ(g	PROPN
ejpam-4127	69	11	)	)	PUNCT
ejpam-4127	70	1	=	=	SYM
ejpam-4127	70	2	1	1	NUM
ejpam-4127	70	3	or	or	CCONJ
ejpam-4127	70	4	γ(h	γ(h	NOUN
ejpam-4127	70	5	)	)	PUNCT
ejpam-4127	70	6	=	=	SYM
ejpam-4127	71	1	1	1	X
ejpam-4127	71	2	.	.	PUNCT
ejpam-4127	71	3	then	then	ADV
ejpam-4127	71	4	η(g+h	η(g+h	NUM
ejpam-4127	71	5	)	)	PUNCT
ejpam-4127	72	1	=	=	SYM
ejpam-4127	72	2	|v	|v	X
ejpam-4127	72	3	(	(	PUNCT
ejpam-4127	72	4	h)|+	h)|+	ADJ
ejpam-4127	72	5	|v	|v	NOUN
ejpam-4127	72	6	(	(	PUNCT
ejpam-4127	72	7	g)|	g)|	INTJ
ejpam-4127	72	8	−	−	PROPN
ejpam-4127	72	9	1	1	NUM
ejpam-4127	72	10	and	and	CCONJ
ejpam-4127	72	11	γ	γ	PROPN
ejpam-4127	72	12	η(g+h	η(g+h	PROPN
ejpam-4127	72	13	)	)	PUNCT
ejpam-4127	72	14	ce	ce	PROPN
ejpam-4127	72	15	(	(	PUNCT
ejpam-4127	72	16	g+h	g+h	PROPN
ejpam-4127	72	17	)	)	PUNCT
ejpam-4127	72	18	=	=	SYM
ejpam-4127	73	1	1	1	X
ejpam-4127	73	2	.	.	PUNCT
ejpam-4127	73	3	in	in	ADP
ejpam-4127	73	4	the	the	DET
ejpam-4127	73	5	succeeding	succeed	VERB
ejpam-4127	73	6	theorems	theorem	NOUN
ejpam-4127	73	7	,	,	PUNCT
ejpam-4127	73	8	γ(g	γ(g	PROPN
ejpam-4127	73	9	)	)	PUNCT
ejpam-4127	73	10	≥	≥	NOUN
ejpam-4127	73	11	2	2	NUM
ejpam-4127	73	12	and	and	CCONJ
ejpam-4127	73	13	γ(h	γ(h	NOUN
ejpam-4127	73	14	)	)	PUNCT
ejpam-4127	73	15	≥	≥	NOUN
ejpam-4127	73	16	2	2	NUM
ejpam-4127	73	17	and	and	CCONJ
ejpam-4127	73	18	assume	assume	VERB
ejpam-4127	73	19	that	that	SCONJ
ejpam-4127	73	20	∆(g	∆(g	NOUN
ejpam-4127	73	21	)	)	PUNCT
ejpam-4127	74	1	+	+	CCONJ
ejpam-4127	74	2	|v	|v	PROPN
ejpam-4127	74	3	(	(	PUNCT
ejpam-4127	74	4	h)|	h)|	NOUN
ejpam-4127	74	5	≤	≤	PROPN
ejpam-4127	74	6	∆(h	∆(h	NOUN
ejpam-4127	74	7	)	)	PUNCT
ejpam-4127	74	8	+	+	CCONJ
ejpam-4127	74	9	|v	|v	PROPN
ejpam-4127	74	10	(	(	PUNCT
ejpam-4127	74	11	g)|	g)|	PROPN
ejpam-4127	74	12	.	.	PUNCT
ejpam-4127	74	13	theorem	theorem	NOUN
ejpam-4127	74	14	3	3	X
ejpam-4127	74	15	.	.	PUNCT
ejpam-4127	75	1	let	let	VERB
ejpam-4127	75	2	g	g	NOUN
ejpam-4127	76	1	and	and	CCONJ
ejpam-4127	76	2	h	h	NOUN
ejpam-4127	76	3	be	be	AUX
ejpam-4127	76	4	connected	connect	VERB
ejpam-4127	76	5	graphs	graph	NOUN
ejpam-4127	76	6	such	such	ADJ
ejpam-4127	76	7	that	that	PRON
ejpam-4127	76	8	min{γ(g	min{γ(g	PROPN
ejpam-4127	76	9	)	)	PUNCT
ejpam-4127	76	10	,	,	PUNCT
ejpam-4127	76	11	γ(h	γ(h	NOUN
ejpam-4127	76	12	)	)	PUNCT
ejpam-4127	76	13	}	}	PUNCT
ejpam-4127	76	14	≥	≥	NOUN
ejpam-4127	76	15	2	2	NUM
ejpam-4127	76	16	and	and	CCONJ
ejpam-4127	76	17	0	0	NUM
ejpam-4127	76	18	≤	≤	NUM
ejpam-4127	76	19	k	k	PROPN
ejpam-4127	76	20	≤	≤	PROPN
ejpam-4127	76	21	∆(g	∆(g	PROPN
ejpam-4127	76	22	)	)	PUNCT
ejpam-4127	77	1	+	+	CCONJ
ejpam-4127	77	2	|v	|v	PROPN
ejpam-4127	77	3	(	(	PUNCT
ejpam-4127	77	4	h)|	h)|	NOUN
ejpam-4127	77	5	−	−	PROPN
ejpam-4127	77	6	2	2	NUM
ejpam-4127	77	7	.	.	PUNCT
ejpam-4127	78	1	then	then	ADV
ejpam-4127	78	2	s	s	VERB
ejpam-4127	78	3	is	be	AUX
ejpam-4127	78	4	a	a	DET
ejpam-4127	78	5	γkce	γkce	NOUN
ejpam-4127	78	6	-	-	PUNCT
ejpam-4127	78	7	set	set	NOUN
ejpam-4127	78	8	in	in	ADP
ejpam-4127	78	9	g+h	g+h	PROPN
ejpam-4127	78	10	if	if	SCONJ
ejpam-4127	78	11	and	and	CCONJ
ejpam-4127	78	12	only	only	ADV
ejpam-4127	78	13	if	if	SCONJ
ejpam-4127	78	14	|s|	|s|	PROPN
ejpam-4127	78	15	=	=	SYM
ejpam-4127	78	16	2	2	NUM
ejpam-4127	78	17	and	and	CCONJ
ejpam-4127	78	18	one	one	NUM
ejpam-4127	78	19	of	of	ADP
ejpam-4127	78	20	the	the	DET
ejpam-4127	78	21	following	follow	VERB
ejpam-4127	78	22	holds	hold	VERB
ejpam-4127	78	23	:	:	PUNCT
ejpam-4127	78	24	(	(	PUNCT
ejpam-4127	78	25	i	i	NOUN
ejpam-4127	78	26	)	)	PUNCT
ejpam-4127	78	27	|v	|v	PROPN
ejpam-4127	78	28	(	(	PUNCT
ejpam-4127	78	29	g	g	NOUN
ejpam-4127	78	30	)	)	PUNCT
ejpam-4127	78	31	∩	∩	NOUN
ejpam-4127	78	32	s|	s|	VERB
ejpam-4127	78	33	=	=	SYM
ejpam-4127	78	34	1	1	NUM
ejpam-4127	78	35	and	and	CCONJ
ejpam-4127	78	36	|v	|v	PROPN
ejpam-4127	78	37	(	(	PUNCT
ejpam-4127	78	38	h	h	NOUN
ejpam-4127	78	39	)	)	PUNCT
ejpam-4127	78	40	∩	∩	NOUN
ejpam-4127	78	41	s|	s|	NOUN
ejpam-4127	78	42	=	=	SYM
ejpam-4127	78	43	1	1	NUM
ejpam-4127	78	44	;	;	PUNCT
ejpam-4127	78	45	(	(	PUNCT
ejpam-4127	78	46	ii	ii	NOUN
ejpam-4127	78	47	)	)	PUNCT
ejpam-4127	78	48	s	s	VERB
ejpam-4127	78	49	is	be	AUX
ejpam-4127	78	50	a	a	DET
ejpam-4127	78	51	γ	γ	NOUN
ejpam-4127	78	52	-	-	PUNCT
ejpam-4127	78	53	set	set	NOUN
ejpam-4127	78	54	in	in	ADP
ejpam-4127	78	55	g	g	PROPN
ejpam-4127	78	56	such	such	ADJ
ejpam-4127	78	57	that	that	SCONJ
ejpam-4127	78	58	k	k	PROPN
ejpam-4127	78	59	−	−	PROPN
ejpam-4127	78	60	|v	|v	PROPN
ejpam-4127	78	61	(	(	PUNCT
ejpam-4127	78	62	h)|+	h)|+	ADJ
ejpam-4127	78	63	2	2	NUM
ejpam-4127	78	64	≤	≤	NOUN
ejpam-4127	78	65	δ(s	δ(s	PROPN
ejpam-4127	78	66	:	:	PUNCT
ejpam-4127	78	67	g	g	NOUN
ejpam-4127	78	68	)	)	PUNCT
ejpam-4127	78	69	;	;	PUNCT
ejpam-4127	78	70	(	(	PUNCT
ejpam-4127	78	71	iii	iii	X
ejpam-4127	78	72	)	)	PUNCT
ejpam-4127	78	73	s	s	VERB
ejpam-4127	78	74	is	be	AUX
ejpam-4127	78	75	a	a	DET
ejpam-4127	78	76	γ	γ	NOUN
ejpam-4127	78	77	-	-	PUNCT
ejpam-4127	78	78	set	set	NOUN
ejpam-4127	78	79	in	in	ADP
ejpam-4127	78	80	h	h	NOUN
ejpam-4127	78	81	such	such	ADJ
ejpam-4127	78	82	that	that	SCONJ
ejpam-4127	78	83	k	k	PROPN
ejpam-4127	78	84	−	−	PROPN
ejpam-4127	78	85	|v	|v	PROPN
ejpam-4127	78	86	(	(	PUNCT
ejpam-4127	78	87	g)|+	g)|+	NOUN
ejpam-4127	78	88	2	2	NUM
ejpam-4127	78	89	≤	≤	NUM
ejpam-4127	78	90	δ(s	δ(s	PROPN
ejpam-4127	78	91	:	:	PUNCT
ejpam-4127	78	92	h	h	NOUN
ejpam-4127	78	93	)	)	PUNCT
ejpam-4127	78	94	.	.	PUNCT
ejpam-4127	79	1	proof	proof	NOUN
ejpam-4127	79	2	:	:	PUNCT
ejpam-4127	79	3	suppose	suppose	VERB
ejpam-4127	79	4	that	that	SCONJ
ejpam-4127	79	5	a	a	DET
ejpam-4127	79	6	=	=	X
ejpam-4127	79	7	{	{	PUNCT
ejpam-4127	79	8	a	a	PROPN
ejpam-4127	79	9	,	,	PUNCT
ejpam-4127	79	10	b	b	NOUN
ejpam-4127	79	11	}	}	PUNCT
ejpam-4127	79	12	such	such	ADJ
ejpam-4127	79	13	that	that	DET
ejpam-4127	79	14	degg(a	degg(a	PROPN
ejpam-4127	79	15	)	)	PUNCT
ejpam-4127	79	16	=	=	SYM
ejpam-4127	79	17	∆(g	∆(g	PROPN
ejpam-4127	79	18	)	)	PUNCT
ejpam-4127	79	19	and	and	CCONJ
ejpam-4127	79	20	degh(b	degh(b	NOUN
ejpam-4127	79	21	)	)	PUNCT
ejpam-4127	79	22	=	=	SYM
ejpam-4127	79	23	∆(h	∆(h	NOUN
ejpam-4127	79	24	)	)	PUNCT
ejpam-4127	79	25	.	.	PUNCT
ejpam-4127	80	1	clearly	clearly	ADV
ejpam-4127	80	2	,	,	PUNCT
ejpam-4127	80	3	a	a	PRON
ejpam-4127	80	4	is	be	AUX
ejpam-4127	80	5	a	a	DET
ejpam-4127	80	6	dominating	dominating	NOUN
ejpam-4127	80	7	set	set	VERB
ejpam-4127	80	8	in	in	ADP
ejpam-4127	80	9	g+h	g+h	PROPN
ejpam-4127	80	10	.	.	PUNCT
ejpam-4127	81	1	moreover	moreover	ADV
ejpam-4127	81	2	,	,	PUNCT
ejpam-4127	81	3	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	81	4	)	)	PUNCT
ejpam-4127	81	5	\a|	\a|	NOUN
ejpam-4127	81	6	−	−	PROPN
ejpam-4127	81	7	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	81	8	)	)	PUNCT
ejpam-4127	81	9	∩a|	∩a|	PUNCT
ejpam-4127	82	1	=	=	SYM
ejpam-4127	82	2	degg(a	degg(a	PROPN
ejpam-4127	82	3	)	)	PUNCT
ejpam-4127	83	1	+	+	CCONJ
ejpam-4127	83	2	|v	|v	X
ejpam-4127	83	3	(	(	PUNCT
ejpam-4127	83	4	h)|	h)|	NOUN
ejpam-4127	83	5	=	=	SYM
ejpam-4127	83	6	∆(g	∆(g	PROPN
ejpam-4127	83	7	)	)	PUNCT
ejpam-4127	83	8	+	+	CCONJ
ejpam-4127	83	9	|v	|v	PROPN
ejpam-4127	83	10	(	(	PUNCT
ejpam-4127	83	11	h)|	h)|	PROPN
ejpam-4127	83	12	>	>	X
ejpam-4127	83	13	∆(g	∆(g	PROPN
ejpam-4127	83	14	)	)	PUNCT
ejpam-4127	84	1	+	+	CCONJ
ejpam-4127	84	2	|v	|v	PROPN
ejpam-4127	84	3	(	(	PUNCT
ejpam-4127	84	4	h)|	h)|	NOUN
ejpam-4127	84	5	−	−	PROPN
ejpam-4127	84	6	2	2	NUM
ejpam-4127	84	7	≥	≥	NOUN
ejpam-4127	84	8	k.	k.	PROPN
ejpam-4127	84	9	and	and	CCONJ
ejpam-4127	84	10	|ng+h(b	|ng+h(b	PROPN
ejpam-4127	84	11	)	)	PUNCT
ejpam-4127	84	12	\a|	\a|	NOUN
ejpam-4127	84	13	−	−	PROPN
ejpam-4127	84	14	|ng+h(b	|ng+h(b	PROPN
ejpam-4127	84	15	)	)	PUNCT
ejpam-4127	84	16	∩a|	∩a|	PUNCT
ejpam-4127	85	1	=	=	SYM
ejpam-4127	85	2	degh(b	degh(b	NOUN
ejpam-4127	85	3	)	)	PUNCT
ejpam-4127	86	1	+	+	CCONJ
ejpam-4127	86	2	|v	|v	X
ejpam-4127	86	3	(	(	PUNCT
ejpam-4127	86	4	g)|	g)|	NOUN
ejpam-4127	86	5	=	=	PUNCT
ejpam-4127	86	6	∆(h	∆(h	NOUN
ejpam-4127	86	7	)	)	PUNCT
ejpam-4127	86	8	+	+	CCONJ
ejpam-4127	86	9	|v	|v	X
ejpam-4127	86	10	(	(	PUNCT
ejpam-4127	86	11	g)|	g)|	PROPN
ejpam-4127	86	12	≥	≥	NOUN
ejpam-4127	86	13	∆(g	∆(g	NOUN
ejpam-4127	86	14	)	)	PUNCT
ejpam-4127	86	15	+	+	CCONJ
ejpam-4127	86	16	|v	|v	PROPN
ejpam-4127	86	17	(	(	PUNCT
ejpam-4127	86	18	h)|	h)|	PROPN
ejpam-4127	86	19	>	>	X
ejpam-4127	86	20	∆(g	∆(g	PROPN
ejpam-4127	86	21	)	)	PUNCT
ejpam-4127	86	22	+	+	CCONJ
ejpam-4127	86	23	|v	|v	PROPN
ejpam-4127	86	24	(	(	PUNCT
ejpam-4127	86	25	h)|	h)|	NOUN
ejpam-4127	86	26	−	−	PROPN
ejpam-4127	86	27	2	2	NUM
ejpam-4127	86	28	≥	≥	NOUN
ejpam-4127	86	29	k.	k.	PUNCT
ejpam-4127	87	1	thus	thus	ADV
ejpam-4127	87	2	,	,	PUNCT
ejpam-4127	87	3	a	a	PRON
ejpam-4127	87	4	is	be	AUX
ejpam-4127	87	5	a	a	DET
ejpam-4127	87	6	k	k	ADJ
ejpam-4127	87	7	-	-	PUNCT
ejpam-4127	87	8	cost	cost	NOUN
ejpam-4127	87	9	effective	effective	ADJ
ejpam-4127	87	10	dominating	dominating	NOUN
ejpam-4127	87	11	set	set	VERB
ejpam-4127	87	12	in	in	ADP
ejpam-4127	87	13	g	g	PROPN
ejpam-4127	87	14	+	+	CCONJ
ejpam-4127	87	15	h.	h.	PROPN
ejpam-4127	87	16	accordingly	accordingly	ADV
ejpam-4127	87	17	,	,	PUNCT
ejpam-4127	88	1	γkce(g	γkce(g	PROPN
ejpam-4127	88	2	+	+	NOUN
ejpam-4127	88	3	h	h	NOUN
ejpam-4127	88	4	)	)	PUNCT
ejpam-4127	88	5	=	=	PUNCT
ejpam-4127	88	6	|s|	|s|	NOUN
ejpam-4127	88	7	≤	≤	ADV
ejpam-4127	88	8	2	2	NUM
ejpam-4127	88	9	.	.	PUNCT
ejpam-4127	88	10	suppose	suppose	VERB
ejpam-4127	88	11	that	that	SCONJ
ejpam-4127	88	12	|s|	|s|	NOUN
ejpam-4127	88	13	=	=	SYM
ejpam-4127	88	14	1	1	NUM
ejpam-4127	88	15	.	.	PUNCT
ejpam-4127	88	16	then	then	ADV
ejpam-4127	88	17	γ(g	γ(g	PROPN
ejpam-4127	88	18	)	)	PUNCT
ejpam-4127	89	1	=	=	SYM
ejpam-4127	89	2	1	1	NUM
ejpam-4127	89	3	or	or	CCONJ
ejpam-4127	89	4	γ(h	γ(h	NOUN
ejpam-4127	89	5	)	)	PUNCT
ejpam-4127	89	6	=	=	SYM
ejpam-4127	89	7	1	1	NUM
ejpam-4127	89	8	,	,	PUNCT
ejpam-4127	89	9	which	which	PRON
ejpam-4127	89	10	is	be	AUX
ejpam-4127	89	11	j.	j.	PROPN
ejpam-4127	89	12	b.	b.	PROPN
ejpam-4127	89	13	palco	palco	PROPN
ejpam-4127	89	14	,	,	PUNCT
ejpam-4127	89	15	r.	r.	PROPN
ejpam-4127	89	16	n.	n.	PROPN
ejpam-4127	89	17	paluga	paluga	PROPN
ejpam-4127	89	18	,	,	PUNCT
ejpam-4127	89	19	g.	g.	PROPN
ejpam-4127	89	20	a.	a.	PROPN
ejpam-4127	89	21	malacas	malacas	PROPN
ejpam-4127	89	22	/	/	SYM
ejpam-4127	89	23	eur	eur	PROPN
ejpam-4127	89	24	.	.	PUNCT
ejpam-4127	90	1	j.	j.	PROPN
ejpam-4127	90	2	pure	pure	PROPN
ejpam-4127	90	3	appl	appl	PROPN
ejpam-4127	90	4	.	.	PROPN
ejpam-4127	90	5	math	math	PROPN
ejpam-4127	90	6	,	,	PUNCT
ejpam-4127	90	7	14	14	NUM
ejpam-4127	90	8	(	(	PUNCT
ejpam-4127	90	9	4	4	NUM
ejpam-4127	90	10	)	)	PUNCT
ejpam-4127	90	11	(	(	PUNCT
ejpam-4127	90	12	2021	2021	NUM
ejpam-4127	90	13	)	)	PUNCT
ejpam-4127	90	14	,	,	PUNCT
ejpam-4127	90	15	1324	1324	NUM
ejpam-4127	90	16	-	-	SYM
ejpam-4127	90	17	1336	1336	NUM
ejpam-4127	90	18	1328	1328	NUM
ejpam-4127	90	19	a	a	DET
ejpam-4127	90	20	contradiction	contradiction	NOUN
ejpam-4127	90	21	to	to	ADP
ejpam-4127	90	22	that	that	DET
ejpam-4127	90	23	fact	fact	NOUN
ejpam-4127	90	24	that	that	SCONJ
ejpam-4127	90	25	min{γ(g	min{γ(g	PROPN
ejpam-4127	90	26	)	)	PUNCT
ejpam-4127	90	27	,	,	PUNCT
ejpam-4127	90	28	γ(h	γ(h	NOUN
ejpam-4127	90	29	)	)	PUNCT
ejpam-4127	90	30	}	}	PUNCT
ejpam-4127	90	31	≥	≥	NOUN
ejpam-4127	91	1	2	2	NUM
ejpam-4127	91	2	.	.	PUNCT
ejpam-4127	91	3	therefore	therefore	ADV
ejpam-4127	91	4	,	,	PUNCT
ejpam-4127	91	5	γkce(g+h	γkce(g+h	PROPN
ejpam-4127	91	6	)	)	PUNCT
ejpam-4127	91	7	=	=	SYM
ejpam-4127	92	1	2	2	X
ejpam-4127	92	2	.	.	PUNCT
ejpam-4127	92	3	since	since	SCONJ
ejpam-4127	92	4	s	s	PROPN
ejpam-4127	92	5	is	be	AUX
ejpam-4127	92	6	a	a	DET
ejpam-4127	92	7	γkce	γkce	NOUN
ejpam-4127	92	8	-	-	PUNCT
ejpam-4127	92	9	set	set	NOUN
ejpam-4127	92	10	in	in	ADP
ejpam-4127	92	11	g+h	g+h	PROPN
ejpam-4127	92	12	,	,	PUNCT
ejpam-4127	92	13	|s|	|s|	PROPN
ejpam-4127	92	14	=	=	SYM
ejpam-4127	92	15	2	2	X
ejpam-4127	92	16	.	.	PUNCT
ejpam-4127	92	17	clearly	clearly	ADV
ejpam-4127	92	18	,	,	PUNCT
ejpam-4127	92	19	|v	|v	PROPN
ejpam-4127	92	20	(	(	PUNCT
ejpam-4127	92	21	g	g	NOUN
ejpam-4127	92	22	)	)	PUNCT
ejpam-4127	92	23	∩	∩	NOUN
ejpam-4127	92	24	s|	s|	VERB
ejpam-4127	92	25	=	=	SYM
ejpam-4127	92	26	1	1	NUM
ejpam-4127	92	27	and	and	CCONJ
ejpam-4127	92	28	|v	|v	PROPN
ejpam-4127	92	29	(	(	PUNCT
ejpam-4127	92	30	h	h	NOUN
ejpam-4127	92	31	)	)	PUNCT
ejpam-4127	92	32	∩	∩	NOUN
ejpam-4127	92	33	s|	s|	NOUN
ejpam-4127	92	34	=	=	SYM
ejpam-4127	92	35	1	1	X
ejpam-4127	92	36	.	.	PUNCT
ejpam-4127	92	37	thus	thus	ADV
ejpam-4127	92	38	,	,	PUNCT
ejpam-4127	92	39	property	property	NOUN
ejpam-4127	92	40	(	(	PUNCT
ejpam-4127	92	41	i	i	NOUN
ejpam-4127	92	42	)	)	PUNCT
ejpam-4127	92	43	holds	hold	VERB
ejpam-4127	92	44	.	.	PUNCT
ejpam-4127	92	45	suppose	suppose	VERB
ejpam-4127	92	46	that	that	SCONJ
ejpam-4127	92	47	s	s	VERB
ejpam-4127	92	48	⊆	⊆	NUM
ejpam-4127	92	49	v	v	NOUN
ejpam-4127	92	50	(	(	PUNCT
ejpam-4127	92	51	g	g	NOUN
ejpam-4127	92	52	)	)	PUNCT
ejpam-4127	92	53	.	.	PUNCT
ejpam-4127	93	1	since	since	SCONJ
ejpam-4127	93	2	s	s	PROPN
ejpam-4127	93	3	is	be	AUX
ejpam-4127	93	4	a	a	DET
ejpam-4127	93	5	dominating	dominating	NOUN
ejpam-4127	93	6	set	set	VERB
ejpam-4127	93	7	in	in	ADP
ejpam-4127	93	8	g+h	g+h	PROPN
ejpam-4127	93	9	,	,	PUNCT
ejpam-4127	93	10	s	s	VERB
ejpam-4127	93	11	is	be	AUX
ejpam-4127	93	12	a	a	DET
ejpam-4127	93	13	dominating	dominating	NOUN
ejpam-4127	93	14	set	set	VERB
ejpam-4127	93	15	in	in	ADP
ejpam-4127	93	16	g.	g.	PROPN
ejpam-4127	93	17	now	now	ADV
ejpam-4127	93	18	,	,	PUNCT
ejpam-4127	93	19	γ(g	γ(g	PROPN
ejpam-4127	93	20	)	)	PUNCT
ejpam-4127	93	21	≥	≥	NOUN
ejpam-4127	93	22	2	2	NUM
ejpam-4127	93	23	,	,	PUNCT
ejpam-4127	93	24	so	so	PRON
ejpam-4127	93	25	s	s	NOUN
ejpam-4127	93	26	is	be	AUX
ejpam-4127	93	27	a	a	DET
ejpam-4127	93	28	minimum	minimum	ADJ
ejpam-4127	93	29	dominating	dominating	NOUN
ejpam-4127	93	30	set	set	VERB
ejpam-4127	93	31	in	in	ADP
ejpam-4127	93	32	g	g	PROPN
ejpam-4127	93	33	,	,	PUNCT
ejpam-4127	93	34	that	that	ADV
ejpam-4127	93	35	is	is	ADV
ejpam-4127	93	36	,	,	PUNCT
ejpam-4127	93	37	s	s	VERB
ejpam-4127	93	38	is	be	AUX
ejpam-4127	93	39	a	a	DET
ejpam-4127	93	40	γ	γ	NOUN
ejpam-4127	93	41	-	-	PUNCT
ejpam-4127	93	42	set	set	VERB
ejpam-4127	93	43	in	in	ADP
ejpam-4127	93	44	g.	g.	PROPN
ejpam-4127	93	45	let	let	VERB
ejpam-4127	93	46	s	s	AUX
ejpam-4127	93	47	=	=	NOUN
ejpam-4127	93	48	{	{	PUNCT
ejpam-4127	93	49	a1	a1	PROPN
ejpam-4127	93	50	,	,	PUNCT
ejpam-4127	93	51	a2	a2	PROPN
ejpam-4127	93	52	}	}	PUNCT
ejpam-4127	93	53	⊆	⊆	NUM
ejpam-4127	93	54	v	v	NOUN
ejpam-4127	93	55	(	(	PUNCT
ejpam-4127	93	56	g	g	NOUN
ejpam-4127	93	57	)	)	PUNCT
ejpam-4127	93	58	.	.	PUNCT
ejpam-4127	94	1	suppose	suppose	VERB
ejpam-4127	94	2	a1	a1	NOUN
ejpam-4127	94	3	and	and	CCONJ
ejpam-4127	94	4	a2	a2	PROPN
ejpam-4127	94	5	are	be	AUX
ejpam-4127	94	6	adjacent	adjacent	ADJ
ejpam-4127	94	7	in	in	ADP
ejpam-4127	94	8	s.	s.	PROPN
ejpam-4127	94	9	then	then	ADV
ejpam-4127	94	10	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	94	11	)	)	PUNCT
ejpam-4127	94	12	\	\	NOUN
ejpam-4127	94	13	s|	s|	VERB
ejpam-4127	94	14	−	−	NUM
ejpam-4127	94	15	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	94	16	)	)	PUNCT
ejpam-4127	94	17	∩	∩	NOUN
ejpam-4127	94	18	s|	s|	NOUN
ejpam-4127	94	19	=	=	SYM
ejpam-4127	94	20	(	(	PUNCT
ejpam-4127	95	1	|v	|v	X
ejpam-4127	95	2	(	(	PUNCT
ejpam-4127	95	3	h)|+	h)|+	NOUN
ejpam-4127	95	4	degg(ai)−	degg(ai)−	NOUN
ejpam-4127	95	5	1)−	1)−	PROPN
ejpam-4127	95	6	1	1	NUM
ejpam-4127	95	7	=	=	SYM
ejpam-4127	95	8	|v	|v	X
ejpam-4127	95	9	(	(	PUNCT
ejpam-4127	95	10	h)|+	h)|+	ADJ
ejpam-4127	95	11	degg(ai)−	degg(ai)−	NOUN
ejpam-4127	95	12	2	2	NUM
ejpam-4127	95	13	≥	≥	NOUN
ejpam-4127	95	14	|v	|v	X
ejpam-4127	95	15	(	(	PUNCT
ejpam-4127	95	16	h)|+	h)|+	ADJ
ejpam-4127	95	17	δ(s	δ(s	PROPN
ejpam-4127	95	18	:	:	PUNCT
ejpam-4127	95	19	g)−	g)−	PROPN
ejpam-4127	95	20	2	2	NUM
ejpam-4127	95	21	≥	≥	NOUN
ejpam-4127	95	22	k	k	NOUN
ejpam-4127	95	23	,	,	PUNCT
ejpam-4127	95	24	i	i	PRON
ejpam-4127	95	25	=	=	NOUN
ejpam-4127	95	26	1	1	NUM
ejpam-4127	95	27	,	,	PUNCT
ejpam-4127	95	28	2	2	NUM
ejpam-4127	95	29	.	.	PUNCT
ejpam-4127	96	1	thus	thus	ADV
ejpam-4127	96	2	,	,	PUNCT
ejpam-4127	96	3	k	k	PROPN
ejpam-4127	96	4	−	−	PROPN
ejpam-4127	96	5	|v	|v	PROPN
ejpam-4127	96	6	(	(	PUNCT
ejpam-4127	96	7	h)|+	h)|+	ADJ
ejpam-4127	96	8	2	2	NUM
ejpam-4127	96	9	≤	≤	NOUN
ejpam-4127	96	10	δ(s	δ(s	PROPN
ejpam-4127	96	11	:	:	PUNCT
ejpam-4127	96	12	g	g	NOUN
ejpam-4127	96	13	)	)	PUNCT
ejpam-4127	96	14	.	.	PUNCT
ejpam-4127	97	1	suppose	suppose	VERB
ejpam-4127	97	2	a1	a1	NOUN
ejpam-4127	97	3	and	and	CCONJ
ejpam-4127	97	4	a2	a2	PROPN
ejpam-4127	97	5	are	be	AUX
ejpam-4127	97	6	not	not	PART
ejpam-4127	97	7	adjacent	adjacent	ADJ
ejpam-4127	97	8	in	in	ADP
ejpam-4127	97	9	s.	s.	PROPN
ejpam-4127	97	10	then	then	ADV
ejpam-4127	97	11	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	97	12	)	)	PUNCT
ejpam-4127	97	13	\	\	NOUN
ejpam-4127	97	14	s|	s|	VERB
ejpam-4127	97	15	−	−	NUM
ejpam-4127	97	16	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	97	17	)	)	PUNCT
ejpam-4127	97	18	∩	∩	NOUN
ejpam-4127	97	19	s|	s|	NOUN
ejpam-4127	97	20	=	=	SYM
ejpam-4127	97	21	|v	|v	X
ejpam-4127	97	22	(	(	PUNCT
ejpam-4127	97	23	h)|+	h)|+	ADJ
ejpam-4127	97	24	degg(ai	degg(ai	NOUN
ejpam-4127	97	25	)	)	PUNCT
ejpam-4127	97	26	>	>	X
ejpam-4127	98	1	|v	|v	PROPN
ejpam-4127	98	2	(	(	PUNCT
ejpam-4127	98	3	h)|+	h)|+	ADJ
ejpam-4127	98	4	degg(ai)−	degg(ai)−	NOUN
ejpam-4127	98	5	2	2	NUM
ejpam-4127	98	6	≥	≥	NOUN
ejpam-4127	98	7	|v	|v	X
ejpam-4127	98	8	(	(	PUNCT
ejpam-4127	98	9	h)|+	h)|+	ADJ
ejpam-4127	98	10	δ(s	δ(s	PROPN
ejpam-4127	98	11	:	:	PUNCT
ejpam-4127	98	12	g)−	g)−	NOUN
ejpam-4127	98	13	2	2	NUM
ejpam-4127	98	14	=	=	SYM
ejpam-4127	98	15	k	k	X
ejpam-4127	98	16	,	,	PUNCT
ejpam-4127	98	17	i	i	PRON
ejpam-4127	98	18	=	=	NOUN
ejpam-4127	98	19	1	1	NUM
ejpam-4127	98	20	,	,	PUNCT
ejpam-4127	98	21	2	2	NUM
ejpam-4127	98	22	.	.	PUNCT
ejpam-4127	99	1	thus	thus	ADV
ejpam-4127	99	2	,	,	PUNCT
ejpam-4127	99	3	k	k	PROPN
ejpam-4127	99	4	−	−	PROPN
ejpam-4127	99	5	|v	|v	PROPN
ejpam-4127	99	6	(	(	PUNCT
ejpam-4127	99	7	h)|+	h)|+	ADJ
ejpam-4127	99	8	2	2	NUM
ejpam-4127	99	9	≤	≤	NOUN
ejpam-4127	99	10	δ(s	δ(s	PROPN
ejpam-4127	99	11	:	:	PUNCT
ejpam-4127	99	12	g	g	NOUN
ejpam-4127	99	13	)	)	PUNCT
ejpam-4127	99	14	.	.	PUNCT
ejpam-4127	100	1	similarly	similarly	ADV
ejpam-4127	100	2	,	,	PUNCT
ejpam-4127	100	3	k	k	PROPN
ejpam-4127	100	4	−	−	PROPN
ejpam-4127	100	5	|v	|v	PROPN
ejpam-4127	100	6	(	(	PUNCT
ejpam-4127	100	7	g)|+	g)|+	NOUN
ejpam-4127	100	8	2	2	NUM
ejpam-4127	100	9	≤	≤	NUM
ejpam-4127	100	10	δ(s	δ(s	PROPN
ejpam-4127	100	11	:	:	PUNCT
ejpam-4127	100	12	h	h	NOUN
ejpam-4127	100	13	)	)	PUNCT
ejpam-4127	100	14	.	.	PUNCT
ejpam-4127	101	1	conversely	conversely	ADV
ejpam-4127	101	2	,	,	PUNCT
ejpam-4127	101	3	suppose	suppose	VERB
ejpam-4127	101	4	that	that	SCONJ
ejpam-4127	101	5	s	s	VERB
ejpam-4127	101	6	satisfies	satisfie	NOUN
ejpam-4127	101	7	property	property	NOUN
ejpam-4127	101	8	(	(	PUNCT
ejpam-4127	101	9	i	i	NOUN
ejpam-4127	101	10	)	)	PUNCT
ejpam-4127	101	11	.	.	PUNCT
ejpam-4127	102	1	then	then	ADV
ejpam-4127	102	2	s	s	VERB
ejpam-4127	102	3	is	be	AUX
ejpam-4127	102	4	a	a	DET
ejpam-4127	102	5	γ	γ	NOUN
ejpam-4127	102	6	-	-	PUNCT
ejpam-4127	102	7	set	set	NOUN
ejpam-4127	102	8	in	in	ADP
ejpam-4127	102	9	g+h	g+h	PROPN
ejpam-4127	102	10	.	.	PUNCT
ejpam-4127	103	1	moreover	moreover	ADV
ejpam-4127	103	2	,	,	PUNCT
ejpam-4127	103	3	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	103	4	)	)	PUNCT
ejpam-4127	103	5	\	\	NOUN
ejpam-4127	103	6	s|	s|	VERB
ejpam-4127	103	7	−	−	PROPN
ejpam-4127	103	8	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	103	9	)	)	PUNCT
ejpam-4127	103	10	∩	∩	NOUN
ejpam-4127	103	11	s|	s|	NOUN
ejpam-4127	103	12	=	=	SYM
ejpam-4127	103	13	|v	|v	X
ejpam-4127	103	14	(	(	PUNCT
ejpam-4127	103	15	h)|	h)|	NOUN
ejpam-4127	103	16	−	−	PROPN
ejpam-4127	103	17	1	1	NUM
ejpam-4127	103	18	+	+	X
ejpam-4127	103	19	degg(a)−	degg(a)−	PROPN
ejpam-4127	103	20	1	1	NUM
ejpam-4127	103	21	=	=	SYM
ejpam-4127	103	22	|v	|v	X
ejpam-4127	103	23	(	(	PUNCT
ejpam-4127	103	24	h)|+∆(g)−	h)|+∆(g)−	PROPN
ejpam-4127	103	25	2	2	NUM
ejpam-4127	103	26	≥	≥	NOUN
ejpam-4127	103	27	k.	k.	PROPN
ejpam-4127	103	28	and	and	CCONJ
ejpam-4127	103	29	|ng+h(b	|ng+h(b	PROPN
ejpam-4127	103	30	)	)	PUNCT
ejpam-4127	103	31	\	\	PROPN
ejpam-4127	103	32	s|	s|	VERB
ejpam-4127	103	33	−	−	PROPN
ejpam-4127	103	34	|ng+h(b	|ng+h(b	NOUN
ejpam-4127	103	35	)	)	PUNCT
ejpam-4127	103	36	∩	∩	NOUN
ejpam-4127	103	37	s|	s|	NOUN
ejpam-4127	103	38	=	=	SYM
ejpam-4127	103	39	|v	|v	X
ejpam-4127	103	40	(	(	PUNCT
ejpam-4127	103	41	g)|	g)|	NOUN
ejpam-4127	103	42	−	−	PROPN
ejpam-4127	103	43	1	1	NUM
ejpam-4127	103	44	+	+	CCONJ
ejpam-4127	103	45	degh(b)−	degh(b)−	PROPN
ejpam-4127	103	46	1	1	NUM
ejpam-4127	103	47	=	=	NOUN
ejpam-4127	103	48	|v	|v	X
ejpam-4127	103	49	(	(	PUNCT
ejpam-4127	103	50	g)|+∆(h)−	g)|+∆(h)−	NOUN
ejpam-4127	103	51	2	2	NUM
ejpam-4127	103	52	=	=	SYM
ejpam-4127	103	53	|v	|v	X
ejpam-4127	103	54	(	(	PUNCT
ejpam-4127	103	55	h)|+∆(g)−	h)|+∆(g)−	PROPN
ejpam-4127	103	56	2	2	NUM
ejpam-4127	103	57	≥	≥	NOUN
ejpam-4127	103	58	k.	k.	PUNCT
ejpam-4127	104	1	thus	thus	ADV
ejpam-4127	104	2	,	,	PUNCT
ejpam-4127	104	3	s	s	VERB
ejpam-4127	104	4	is	be	AUX
ejpam-4127	104	5	a	a	DET
ejpam-4127	104	6	k	k	ADJ
ejpam-4127	104	7	-	-	PUNCT
ejpam-4127	104	8	cost	cost	NOUN
ejpam-4127	104	9	effective	effective	ADJ
ejpam-4127	104	10	dominating	dominating	NOUN
ejpam-4127	104	11	set	set	VERB
ejpam-4127	104	12	in	in	ADP
ejpam-4127	104	13	g	g	PROPN
ejpam-4127	104	14	+	+	PROPN
ejpam-4127	104	15	h.	h.	PROPN
ejpam-4127	104	16	hence	hence	ADV
ejpam-4127	104	17	,	,	PUNCT
ejpam-4127	104	18	s	s	VERB
ejpam-4127	104	19	is	be	AUX
ejpam-4127	104	20	a	a	DET
ejpam-4127	104	21	γkce	γkce	NOUN
ejpam-4127	104	22	-	-	PUNCT
ejpam-4127	104	23	set	set	NOUN
ejpam-4127	104	24	in	in	ADP
ejpam-4127	104	25	g	g	PROPN
ejpam-4127	104	26	+	+	PROPN
ejpam-4127	104	27	h.	h.	PROPN
ejpam-4127	104	28	suppose	suppose	VERB
ejpam-4127	104	29	that	that	SCONJ
ejpam-4127	104	30	s	s	VERB
ejpam-4127	104	31	satisfies	satisfie	NOUN
ejpam-4127	104	32	property	property	NOUN
ejpam-4127	104	33	(	(	PUNCT
ejpam-4127	104	34	ii	ii	NOUN
ejpam-4127	104	35	)	)	PUNCT
ejpam-4127	104	36	.	.	PUNCT
ejpam-4127	105	1	then	then	ADV
ejpam-4127	105	2	s	s	VERB
ejpam-4127	105	3	is	be	AUX
ejpam-4127	105	4	a	a	DET
ejpam-4127	105	5	γ	γ	NOUN
ejpam-4127	105	6	-	-	PUNCT
ejpam-4127	105	7	set	set	NOUN
ejpam-4127	105	8	in	in	ADP
ejpam-4127	105	9	g	g	PROPN
ejpam-4127	105	10	+	+	PROPN
ejpam-4127	105	11	h.	h.	PROPN
ejpam-4127	105	12	suppose	suppose	VERB
ejpam-4127	105	13	a1	a1	NOUN
ejpam-4127	105	14	and	and	CCONJ
ejpam-4127	105	15	a2	a2	PROPN
ejpam-4127	105	16	are	be	AUX
ejpam-4127	105	17	adjacent	adjacent	ADJ
ejpam-4127	105	18	in	in	ADP
ejpam-4127	105	19	s.	s.	PROPN
ejpam-4127	105	20	then	then	ADV
ejpam-4127	105	21	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	105	22	)	)	PUNCT
ejpam-4127	105	23	\	\	NOUN
ejpam-4127	105	24	s|	s|	VERB
ejpam-4127	105	25	−	−	NUM
ejpam-4127	105	26	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	105	27	)	)	PUNCT
ejpam-4127	105	28	∩	∩	NOUN
ejpam-4127	105	29	s|	s|	NOUN
ejpam-4127	105	30	=	=	SYM
ejpam-4127	105	31	(	(	PUNCT
ejpam-4127	105	32	|v	|v	X
ejpam-4127	105	33	(	(	PUNCT
ejpam-4127	105	34	h)|+	h)|+	NOUN
ejpam-4127	105	35	degg(ai)−	degg(ai)−	NOUN
ejpam-4127	105	36	1)−	1)−	PROPN
ejpam-4127	105	37	1	1	NUM
ejpam-4127	105	38	=	=	SYM
ejpam-4127	105	39	|v	|v	X
ejpam-4127	105	40	(	(	PUNCT
ejpam-4127	105	41	h)|+	h)|+	ADJ
ejpam-4127	105	42	degg(ai)−	degg(ai)−	NOUN
ejpam-4127	105	43	2	2	NUM
ejpam-4127	105	44	≥	≥	NOUN
ejpam-4127	105	45	|v	|v	X
ejpam-4127	105	46	(	(	PUNCT
ejpam-4127	105	47	h)|+	h)|+	ADJ
ejpam-4127	105	48	δ(s	δ(s	PROPN
ejpam-4127	105	49	:	:	PUNCT
ejpam-4127	105	50	g)−	g)−	PROPN
ejpam-4127	105	51	2	2	NUM
ejpam-4127	105	52	≥	≥	NOUN
ejpam-4127	105	53	k.	k.	PROPN
ejpam-4127	105	54	j.	j.	PROPN
ejpam-4127	105	55	b.	b.	PROPN
ejpam-4127	105	56	palco	palco	PROPN
ejpam-4127	105	57	,	,	PUNCT
ejpam-4127	105	58	r.	r.	PROPN
ejpam-4127	105	59	n.	n.	PROPN
ejpam-4127	105	60	paluga	paluga	PROPN
ejpam-4127	105	61	,	,	PUNCT
ejpam-4127	105	62	g.	g.	PROPN
ejpam-4127	105	63	a.	a.	PROPN
ejpam-4127	105	64	malacas	malacas	PROPN
ejpam-4127	105	65	/	/	SYM
ejpam-4127	105	66	eur	eur	PROPN
ejpam-4127	105	67	.	.	PUNCT
ejpam-4127	106	1	j.	j.	PROPN
ejpam-4127	106	2	pure	pure	PROPN
ejpam-4127	106	3	appl	appl	PROPN
ejpam-4127	106	4	.	.	PROPN
ejpam-4127	106	5	math	math	PROPN
ejpam-4127	106	6	,	,	PUNCT
ejpam-4127	106	7	14	14	NUM
ejpam-4127	106	8	(	(	PUNCT
ejpam-4127	106	9	4	4	NUM
ejpam-4127	106	10	)	)	PUNCT
ejpam-4127	106	11	(	(	PUNCT
ejpam-4127	106	12	2021	2021	NUM
ejpam-4127	106	13	)	)	PUNCT
ejpam-4127	106	14	,	,	PUNCT
ejpam-4127	106	15	1324	1324	NUM
ejpam-4127	106	16	-	-	SYM
ejpam-4127	106	17	1336	1336	NUM
ejpam-4127	106	18	1329	1329	NUM
ejpam-4127	106	19	suppose	suppose	VERB
ejpam-4127	106	20	a1	a1	NOUN
ejpam-4127	106	21	and	and	CCONJ
ejpam-4127	106	22	a2	a2	PROPN
ejpam-4127	106	23	are	be	AUX
ejpam-4127	106	24	not	not	PART
ejpam-4127	106	25	adjacent	adjacent	ADJ
ejpam-4127	106	26	in	in	ADP
ejpam-4127	106	27	s.	s.	PROPN
ejpam-4127	106	28	then	then	ADV
ejpam-4127	106	29	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	106	30	)	)	PUNCT
ejpam-4127	106	31	\	\	NOUN
ejpam-4127	106	32	s|	s|	VERB
ejpam-4127	106	33	−	−	NUM
ejpam-4127	106	34	|ng+h(ai	|ng+h(ai	NOUN
ejpam-4127	106	35	)	)	PUNCT
ejpam-4127	106	36	∩	∩	NOUN
ejpam-4127	106	37	s|	s|	NOUN
ejpam-4127	106	38	=	=	SYM
ejpam-4127	106	39	|v	|v	X
ejpam-4127	106	40	(	(	PUNCT
ejpam-4127	106	41	h)|+	h)|+	ADJ
ejpam-4127	106	42	degg(ai	degg(ai	NOUN
ejpam-4127	106	43	)	)	PUNCT
ejpam-4127	106	44	>	>	X
ejpam-4127	106	45	|v	|v	PROPN
ejpam-4127	106	46	(	(	PUNCT
ejpam-4127	106	47	h)|+	h)|+	ADJ
ejpam-4127	106	48	degg(ai)−	degg(ai)−	NOUN
ejpam-4127	106	49	2	2	NUM
ejpam-4127	106	50	≥	≥	NOUN
ejpam-4127	106	51	|v	|v	X
ejpam-4127	106	52	(	(	PUNCT
ejpam-4127	106	53	h)|+	h)|+	ADJ
ejpam-4127	106	54	δ(s	δ(s	PROPN
ejpam-4127	106	55	:	:	PUNCT
ejpam-4127	106	56	g)−	g)−	NOUN
ejpam-4127	106	57	2	2	X
ejpam-4127	106	58	=	=	SYM
ejpam-4127	106	59	k.	k.	PROPN
ejpam-4127	106	60	thus	thus	ADV
ejpam-4127	106	61	,	,	PUNCT
ejpam-4127	106	62	s	s	VERB
ejpam-4127	106	63	is	be	AUX
ejpam-4127	106	64	a	a	DET
ejpam-4127	106	65	k	k	ADJ
ejpam-4127	106	66	-	-	PUNCT
ejpam-4127	106	67	cost	cost	NOUN
ejpam-4127	106	68	effective	effective	ADJ
ejpam-4127	106	69	dominating	dominating	NOUN
ejpam-4127	106	70	set	set	VERB
ejpam-4127	106	71	in	in	ADP
ejpam-4127	106	72	g	g	PROPN
ejpam-4127	106	73	+	+	PROPN
ejpam-4127	106	74	h.	h.	PROPN
ejpam-4127	106	75	suppose	suppose	VERB
ejpam-4127	106	76	that	that	SCONJ
ejpam-4127	106	77	a	a	DET
ejpam-4127	106	78	singleton	singleton	NOUN
ejpam-4127	106	79	set	set	NOUN
ejpam-4127	106	80	is	be	AUX
ejpam-4127	106	81	a	a	DET
ejpam-4127	106	82	dominating	dominating	NOUN
ejpam-4127	106	83	set	set	NOUN
ejpam-4127	106	84	in	in	ADP
ejpam-4127	106	85	g	g	PROPN
ejpam-4127	106	86	+	+	CCONJ
ejpam-4127	106	87	h.	h.	PROPN
ejpam-4127	106	88	then	then	ADV
ejpam-4127	106	89	γ(g	γ(g	PROPN
ejpam-4127	106	90	)	)	PUNCT
ejpam-4127	107	1	=	=	SYM
ejpam-4127	107	2	1	1	NUM
ejpam-4127	107	3	or	or	CCONJ
ejpam-4127	107	4	γ(h	γ(h	NOUN
ejpam-4127	107	5	)	)	PUNCT
ejpam-4127	107	6	=	=	SYM
ejpam-4127	107	7	1	1	NUM
ejpam-4127	107	8	,	,	PUNCT
ejpam-4127	107	9	which	which	PRON
ejpam-4127	107	10	a	a	DET
ejpam-4127	107	11	contradiction	contradiction	NOUN
ejpam-4127	107	12	to	to	ADP
ejpam-4127	107	13	the	the	DET
ejpam-4127	107	14	fact	fact	NOUN
ejpam-4127	107	15	that	that	SCONJ
ejpam-4127	107	16	min{γ(g	min{γ(g	PROPN
ejpam-4127	107	17	)	)	PUNCT
ejpam-4127	107	18	,	,	PUNCT
ejpam-4127	107	19	γ(h	γ(h	NOUN
ejpam-4127	107	20	)	)	PUNCT
ejpam-4127	107	21	}	}	PUNCT
ejpam-4127	107	22	≥	≥	NOUN
ejpam-4127	107	23	2	2	NUM
ejpam-4127	107	24	.	.	PUNCT
ejpam-4127	108	1	hence	hence	ADV
ejpam-4127	108	2	,	,	PUNCT
ejpam-4127	108	3	s	s	VERB
ejpam-4127	108	4	is	be	AUX
ejpam-4127	108	5	a	a	DET
ejpam-4127	108	6	γkce	γkce	NOUN
ejpam-4127	108	7	-	-	PUNCT
ejpam-4127	108	8	set	set	NOUN
ejpam-4127	108	9	in	in	ADP
ejpam-4127	108	10	g	g	PROPN
ejpam-4127	108	11	+	+	PROPN
ejpam-4127	108	12	h.	h.	PROPN
ejpam-4127	108	13	similarly	similarly	ADV
ejpam-4127	108	14	,	,	PUNCT
ejpam-4127	108	15	if	if	SCONJ
ejpam-4127	108	16	s	s	PART
ejpam-4127	108	17	satisfies	satisfy	VERB
ejpam-4127	108	18	property	property	NOUN
ejpam-4127	108	19	(	(	PUNCT
ejpam-4127	108	20	iii	iii	NOUN
ejpam-4127	108	21	)	)	PUNCT
ejpam-4127	108	22	,	,	PUNCT
ejpam-4127	108	23	then	then	ADV
ejpam-4127	108	24	s	s	VERB
ejpam-4127	108	25	is	be	AUX
ejpam-4127	108	26	a	a	DET
ejpam-4127	108	27	γkce	γkce	NOUN
ejpam-4127	108	28	-	-	PUNCT
ejpam-4127	108	29	set	set	NOUN
ejpam-4127	108	30	in	in	ADP
ejpam-4127	108	31	g+h	g+h	PROPN
ejpam-4127	108	32	.	.	PUNCT
ejpam-4127	109	1	therefore	therefore	ADV
ejpam-4127	109	2	,	,	PUNCT
ejpam-4127	109	3	s	s	VERB
ejpam-4127	109	4	is	be	AUX
ejpam-4127	109	5	a	a	DET
ejpam-4127	109	6	γkce	γkce	NOUN
ejpam-4127	109	7	-	-	PUNCT
ejpam-4127	109	8	set	set	NOUN
ejpam-4127	109	9	in	in	ADP
ejpam-4127	109	10	g+h	g+h	PROPN
ejpam-4127	109	11	.	.	PUNCT
ejpam-4127	110	1	theorem	theorem	ADJ
ejpam-4127	110	2	4	4	NUM
ejpam-4127	110	3	.	.	PUNCT
ejpam-4127	111	1	let	let	VERB
ejpam-4127	111	2	g	g	NOUN
ejpam-4127	111	3	and	and	CCONJ
ejpam-4127	111	4	h	h	NOUN
ejpam-4127	111	5	be	be	AUX
ejpam-4127	111	6	connected	connect	VERB
ejpam-4127	111	7	graphs	graph	NOUN
ejpam-4127	111	8	such	such	ADJ
ejpam-4127	111	9	that	that	DET
ejpam-4127	111	10	min{γ(g	min{γ(g	PROPN
ejpam-4127	111	11	)	)	PUNCT
ejpam-4127	111	12	,	,	PUNCT
ejpam-4127	111	13	γ(h	γ(h	NOUN
ejpam-4127	111	14	)	)	PUNCT
ejpam-4127	111	15	}	}	PUNCT
ejpam-4127	111	16	≥	≥	NOUN
ejpam-4127	111	17	2	2	NUM
ejpam-4127	111	18	and	and	CCONJ
ejpam-4127	111	19	k	k	NOUN
ejpam-4127	111	20	=	=	SYM
ejpam-4127	111	21	∆(g	∆(g	PROPN
ejpam-4127	111	22	)	)	PUNCT
ejpam-4127	112	1	+	+	CCONJ
ejpam-4127	112	2	|v	|v	PROPN
ejpam-4127	112	3	(	(	PUNCT
ejpam-4127	112	4	h)|	h)|	NOUN
ejpam-4127	112	5	−	−	PROPN
ejpam-4127	112	6	1	1	NUM
ejpam-4127	112	7	.	.	PUNCT
ejpam-4127	113	1	then	then	ADV
ejpam-4127	113	2	s	s	VERB
ejpam-4127	113	3	is	be	AUX
ejpam-4127	113	4	a	a	DET
ejpam-4127	113	5	k	k	ADJ
ejpam-4127	113	6	-	-	PUNCT
ejpam-4127	113	7	cost	cost	NOUN
ejpam-4127	113	8	effective	effective	ADJ
ejpam-4127	113	9	dominating	dominating	NOUN
ejpam-4127	113	10	set	set	VERB
ejpam-4127	113	11	in	in	ADP
ejpam-4127	113	12	g+h	g+h	PROPN
ejpam-4127	114	1	if	if	SCONJ
ejpam-4127	114	2	and	and	CCONJ
ejpam-4127	114	3	only	only	ADV
ejpam-4127	114	4	if	if	SCONJ
ejpam-4127	114	5	one	one	NUM
ejpam-4127	114	6	of	of	ADP
ejpam-4127	114	7	the	the	DET
ejpam-4127	114	8	following	follow	VERB
ejpam-4127	114	9	holds	hold	VERB
ejpam-4127	114	10	:	:	PUNCT
ejpam-4127	114	11	(	(	PUNCT
ejpam-4127	114	12	i	i	NOUN
ejpam-4127	114	13	)	)	PUNCT
ejpam-4127	114	14	s	s	VERB
ejpam-4127	114	15	is	be	AUX
ejpam-4127	114	16	an	an	DET
ejpam-4127	114	17	independent	independent	ADJ
ejpam-4127	114	18	dominating	dominating	NOUN
ejpam-4127	114	19	set	set	VERB
ejpam-4127	114	20	in	in	ADP
ejpam-4127	114	21	g	g	PROPN
ejpam-4127	114	22	such	such	ADJ
ejpam-4127	114	23	that	that	DET
ejpam-4127	114	24	δ(s	δ(s	PROPN
ejpam-4127	114	25	:	:	PUNCT
ejpam-4127	114	26	g	g	X
ejpam-4127	114	27	)	)	PUNCT
ejpam-4127	114	28	≥	≥	NOUN
ejpam-4127	114	29	∆(g)−	∆(g)−	NOUN
ejpam-4127	114	30	1	1	NUM
ejpam-4127	114	31	;	;	PUNCT
ejpam-4127	114	32	(	(	PUNCT
ejpam-4127	114	33	ii	ii	NOUN
ejpam-4127	114	34	)	)	PUNCT
ejpam-4127	114	35	s	s	VERB
ejpam-4127	114	36	is	be	AUX
ejpam-4127	114	37	a	a	DET
ejpam-4127	114	38	dominating	dominating	NOUN
ejpam-4127	114	39	set	set	VERB
ejpam-4127	114	40	in	in	ADP
ejpam-4127	114	41	h	h	NOUN
ejpam-4127	114	42	such	such	ADJ
ejpam-4127	114	43	that	that	SCONJ
ejpam-4127	114	44	0	0	NUM
ejpam-4127	114	45	≤	≤	NUM
ejpam-4127	114	46	rh(a	rh(a	NOUN
ejpam-4127	114	47	)	)	PUNCT
ejpam-4127	115	1	+	+	CCONJ
ejpam-4127	115	2	2|nh(a	2|nh(a	NUM
ejpam-4127	115	3	)	)	PUNCT
ejpam-4127	115	4	∩	∩	NOUN
ejpam-4127	115	5	s|	s|	VERB
ejpam-4127	115	6	−	−	PROPN
ejpam-4127	115	7	t	t	NOUN
ejpam-4127	115	8	≤	≤	NUM
ejpam-4127	115	9	1	1	NUM
ejpam-4127	115	10	,	,	PUNCT
ejpam-4127	115	11	where	where	SCONJ
ejpam-4127	115	12	rh(a	rh(a	NOUN
ejpam-4127	115	13	)	)	PUNCT
ejpam-4127	115	14	=	=	SYM
ejpam-4127	115	15	∆(h	∆(h	NOUN
ejpam-4127	115	16	)	)	PUNCT
ejpam-4127	115	17	−	−	PROPN
ejpam-4127	115	18	degh(a	degh(a	NOUN
ejpam-4127	115	19	)	)	PUNCT
ejpam-4127	115	20	and	and	CCONJ
ejpam-4127	115	21	t	t	NOUN
ejpam-4127	115	22	=	=	PUNCT
ejpam-4127	115	23	∆(h	∆(h	NOUN
ejpam-4127	115	24	)	)	PUNCT
ejpam-4127	115	25	+	+	CCONJ
ejpam-4127	115	26	|v	|v	X
ejpam-4127	115	27	(	(	PUNCT
ejpam-4127	115	28	g)|	g)|	PROPN
ejpam-4127	115	29	−	−	PROPN
ejpam-4127	115	30	∆(g	∆(g	PROPN
ejpam-4127	115	31	)	)	PUNCT
ejpam-4127	115	32	−	−	PROPN
ejpam-4127	115	33	|v	|v	PROPN
ejpam-4127	115	34	(	(	PUNCT
ejpam-4127	115	35	h)|	h)|	NOUN
ejpam-4127	115	36	,	,	PUNCT
ejpam-4127	115	37	and	and	CCONJ
ejpam-4127	115	38	degh(a	degh(a	NOUN
ejpam-4127	115	39	)	)	PUNCT
ejpam-4127	116	1	+	+	CCONJ
ejpam-4127	116	2	|v	|v	X
ejpam-4127	116	3	(	(	PUNCT
ejpam-4127	116	4	g)|	g)|	PROPN
ejpam-4127	116	5	−	−	PROPN
ejpam-4127	116	6	2|nh(a	2|nh(a	PROPN
ejpam-4127	116	7	)	)	PUNCT
ejpam-4127	116	8	∩	∩	NOUN
ejpam-4127	116	9	s|	s|	NOUN
ejpam-4127	116	10	=	=	SYM
ejpam-4127	116	11	∆(g	∆(g	NOUN
ejpam-4127	116	12	)	)	PUNCT
ejpam-4127	117	1	+	+	CCONJ
ejpam-4127	117	2	|v	|v	PROPN
ejpam-4127	117	3	(	(	PUNCT
ejpam-4127	117	4	h)|	h)|	NOUN
ejpam-4127	117	5	−	−	PROPN
ejpam-4127	117	6	1	1	NUM
ejpam-4127	117	7	.	.	PUNCT
ejpam-4127	118	1	proof	proof	NOUN
ejpam-4127	118	2	:	:	PUNCT
ejpam-4127	118	3	suppose	suppose	VERB
ejpam-4127	118	4	that	that	SCONJ
ejpam-4127	118	5	s	s	VERB
ejpam-4127	118	6	is	be	AUX
ejpam-4127	118	7	a	a	DET
ejpam-4127	118	8	k	k	ADJ
ejpam-4127	118	9	-	-	PUNCT
ejpam-4127	118	10	cost	cost	NOUN
ejpam-4127	118	11	effective	effective	ADJ
ejpam-4127	118	12	dominating	dominating	NOUN
ejpam-4127	118	13	set	set	VERB
ejpam-4127	118	14	in	in	ADP
ejpam-4127	118	15	g	g	PROPN
ejpam-4127	118	16	+	+	CCONJ
ejpam-4127	118	17	h.	h.	PROPN
ejpam-4127	118	18	consider	consider	VERB
ejpam-4127	118	19	the	the	DET
ejpam-4127	118	20	following	follow	VERB
ejpam-4127	118	21	cases	case	NOUN
ejpam-4127	118	22	:	:	PUNCT
ejpam-4127	118	23	case	case	NOUN
ejpam-4127	118	24	1	1	NUM
ejpam-4127	118	25	:	:	SYM
ejpam-4127	118	26	v	v	NOUN
ejpam-4127	118	27	(	(	PUNCT
ejpam-4127	118	28	g	g	NOUN
ejpam-4127	118	29	)	)	PUNCT
ejpam-4127	118	30	∩	∩	PROPN
ejpam-4127	118	31	s	s	PART
ejpam-4127	118	32	̸=	̸=	PROPN
ejpam-4127	118	33	∅	∅	NOUN
ejpam-4127	118	34	and	and	CCONJ
ejpam-4127	118	35	v	v	NOUN
ejpam-4127	118	36	(	(	PUNCT
ejpam-4127	118	37	h	h	NOUN
ejpam-4127	118	38	)	)	PUNCT
ejpam-4127	118	39	∩	∩	NOUN
ejpam-4127	118	40	s	s	PART
ejpam-4127	118	41	̸=	̸=	PROPN
ejpam-4127	118	42	∅.	∅.	ADV
ejpam-4127	118	43	let	let	VERB
ejpam-4127	118	44	a	a	DET
ejpam-4127	118	45	∈	∈	PROPN
ejpam-4127	118	46	v	v	NOUN
ejpam-4127	118	47	(	(	PUNCT
ejpam-4127	118	48	g	g	NOUN
ejpam-4127	118	49	)	)	PUNCT
ejpam-4127	118	50	∩	∩	PROPN
ejpam-4127	118	51	s.	s.	PROPN
ejpam-4127	118	52	then	then	ADV
ejpam-4127	118	53	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	118	54	)	)	PUNCT
ejpam-4127	118	55	\	\	PROPN
ejpam-4127	118	56	s|	s|	VERB
ejpam-4127	118	57	−	−	PROPN
ejpam-4127	118	58	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	118	59	)	)	PUNCT
ejpam-4127	118	60	∩	∩	NOUN
ejpam-4127	118	61	s|	s|	VERB
ejpam-4127	118	62	≤	≤	NUM
ejpam-4127	118	63	∆(g)−	∆(g)−	NOUN
ejpam-4127	118	64	1	1	NUM
ejpam-4127	118	65	+	+	CCONJ
ejpam-4127	118	66	|v	|v	X
ejpam-4127	118	67	(	(	PUNCT
ejpam-4127	118	68	h)|	h)|	NOUN
ejpam-4127	118	69	−	−	PROPN
ejpam-4127	118	70	1	1	NUM
ejpam-4127	118	71	<	<	X
ejpam-4127	118	72	∆(g	∆(g	PROPN
ejpam-4127	118	73	)	)	PUNCT
ejpam-4127	119	1	+	+	CCONJ
ejpam-4127	119	2	|v	|v	PROPN
ejpam-4127	119	3	(	(	PUNCT
ejpam-4127	119	4	h)|	h)|	NOUN
ejpam-4127	119	5	−	−	PROPN
ejpam-4127	119	6	1	1	NUM
ejpam-4127	119	7	=	=	SYM
ejpam-4127	119	8	k	k	NOUN
ejpam-4127	119	9	,	,	PUNCT
ejpam-4127	119	10	a	a	DET
ejpam-4127	119	11	contradiction	contradiction	NOUN
ejpam-4127	119	12	.	.	PUNCT
ejpam-4127	120	1	thus	thus	ADV
ejpam-4127	120	2	,	,	PUNCT
ejpam-4127	120	3	this	this	DET
ejpam-4127	120	4	case	case	NOUN
ejpam-4127	120	5	is	be	AUX
ejpam-4127	120	6	not	not	PART
ejpam-4127	120	7	possible	possible	ADJ
ejpam-4127	120	8	.	.	PUNCT
ejpam-4127	121	1	case	case	NOUN
ejpam-4127	121	2	2	2	NUM
ejpam-4127	121	3	:	:	PUNCT
ejpam-4127	121	4	s	s	VERB
ejpam-4127	121	5	⊆	⊆	NUM
ejpam-4127	121	6	v	v	NOUN
ejpam-4127	121	7	(	(	PUNCT
ejpam-4127	121	8	g	g	NOUN
ejpam-4127	121	9	)	)	PUNCT
ejpam-4127	121	10	.	.	PUNCT
ejpam-4127	122	1	suppose	suppose	VERB
ejpam-4127	122	2	s	s	NOUN
ejpam-4127	122	3	is	be	AUX
ejpam-4127	122	4	not	not	PART
ejpam-4127	122	5	an	an	DET
ejpam-4127	122	6	independent	independent	ADJ
ejpam-4127	122	7	dominating	dominating	NOUN
ejpam-4127	122	8	set	set	NOUN
ejpam-4127	122	9	g.	g.	PROPN
ejpam-4127	122	10	let	let	VERB
ejpam-4127	122	11	a	a	DET
ejpam-4127	122	12	∈	∈	NOUN
ejpam-4127	122	13	s.	s.	PROPN
ejpam-4127	122	14	then	then	ADV
ejpam-4127	122	15	there	there	PRON
ejpam-4127	122	16	exists	exist	VERB
ejpam-4127	122	17	a	a	DET
ejpam-4127	122	18	′	′	NUM
ejpam-4127	122	19	∈	∈	NOUN
ejpam-4127	122	20	s	s	VERB
ejpam-4127	122	21	such	such	ADJ
ejpam-4127	122	22	that	that	SCONJ
ejpam-4127	122	23	dg(a	dg(a	PROPN
ejpam-4127	122	24	,	,	PUNCT
ejpam-4127	122	25	a	a	DET
ejpam-4127	122	26	′	′	NOUN
ejpam-4127	122	27	)	)	PUNCT
ejpam-4127	123	1	=	=	SYM
ejpam-4127	123	2	1	1	X
ejpam-4127	123	3	.	.	PUNCT
ejpam-4127	123	4	now	now	ADV
ejpam-4127	123	5	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	123	6	)	)	PUNCT
ejpam-4127	123	7	\	\	NOUN
ejpam-4127	123	8	s|	s|	VERB
ejpam-4127	123	9	−	−	PROPN
ejpam-4127	123	10	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	123	11	)	)	PUNCT
ejpam-4127	123	12	∩	∩	NOUN
ejpam-4127	123	13	s|	s|	VERB
ejpam-4127	123	14	≤	≤	NUM
ejpam-4127	123	15	∆(g)−	∆(g)−	NOUN
ejpam-4127	123	16	1	1	NUM
ejpam-4127	123	17	+	+	CCONJ
ejpam-4127	123	18	|v	|v	X
ejpam-4127	123	19	(	(	PUNCT
ejpam-4127	123	20	h)|	h)|	NOUN
ejpam-4127	123	21	−	−	PROPN
ejpam-4127	123	22	1	1	NUM
ejpam-4127	123	23	<	<	X
ejpam-4127	123	24	∆(g	∆(g	PROPN
ejpam-4127	123	25	)	)	PUNCT
ejpam-4127	123	26	+	+	CCONJ
ejpam-4127	123	27	|v	|v	PROPN
ejpam-4127	123	28	(	(	PUNCT
ejpam-4127	123	29	h)|	h)|	NOUN
ejpam-4127	123	30	−	−	PROPN
ejpam-4127	123	31	1	1	NUM
ejpam-4127	123	32	=	=	SYM
ejpam-4127	123	33	k	k	NOUN
ejpam-4127	123	34	,	,	PUNCT
ejpam-4127	123	35	a	a	DET
ejpam-4127	123	36	contradiction	contradiction	NOUN
ejpam-4127	123	37	.	.	PUNCT
ejpam-4127	124	1	thus	thus	ADV
ejpam-4127	124	2	,	,	PUNCT
ejpam-4127	124	3	in	in	ADP
ejpam-4127	124	4	this	this	DET
ejpam-4127	124	5	case	case	NOUN
ejpam-4127	124	6	s	s	VERB
ejpam-4127	124	7	is	be	AUX
ejpam-4127	124	8	an	an	DET
ejpam-4127	124	9	independent	independent	ADJ
ejpam-4127	124	10	dominating	dominating	NOUN
ejpam-4127	124	11	set	set	VERB
ejpam-4127	124	12	in	in	ADP
ejpam-4127	124	13	g.	g.	PROPN
ejpam-4127	124	14	let	let	VERB
ejpam-4127	124	15	rg(a	rg(a	NUM
ejpam-4127	124	16	)	)	PUNCT
ejpam-4127	124	17	=	=	SYM
ejpam-4127	124	18	∆(h)−	∆(h)−	NUM
ejpam-4127	124	19	degg(a	degg(a	PROPN
ejpam-4127	124	20	)	)	PUNCT
ejpam-4127	124	21	.	.	PUNCT
ejpam-4127	125	1	now	now	ADV
ejpam-4127	125	2	,	,	PUNCT
ejpam-4127	125	3	s	s	VERB
ejpam-4127	125	4	is	be	AUX
ejpam-4127	125	5	a	a	DET
ejpam-4127	125	6	k	k	ADJ
ejpam-4127	125	7	-	-	PUNCT
ejpam-4127	125	8	cost	cost	NOUN
ejpam-4127	125	9	effective	effective	ADJ
ejpam-4127	125	10	dominating	dominating	NOUN
ejpam-4127	125	11	set	set	VERB
ejpam-4127	125	12	in	in	ADP
ejpam-4127	125	13	g+h	g+h	PROPN
ejpam-4127	125	14	,	,	PUNCT
ejpam-4127	125	15	so	so	ADV
ejpam-4127	125	16	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	125	17	)	)	PUNCT
ejpam-4127	125	18	\	\	NOUN
ejpam-4127	125	19	s|	s|	VERB
ejpam-4127	125	20	−	−	PROPN
ejpam-4127	125	21	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	125	22	)	)	PUNCT
ejpam-4127	125	23	∩	∩	NOUN
ejpam-4127	125	24	s|	s|	NOUN
ejpam-4127	125	25	=	=	SYM
ejpam-4127	125	26	degg(a	degg(a	PROPN
ejpam-4127	125	27	)	)	PUNCT
ejpam-4127	126	1	+	+	CCONJ
ejpam-4127	126	2	|v	|v	PROPN
ejpam-4127	126	3	(	(	PUNCT
ejpam-4127	126	4	h)|	h)|	PROPN
ejpam-4127	126	5	j.	j.	PROPN
ejpam-4127	126	6	b.	b.	PROPN
ejpam-4127	126	7	palco	palco	PROPN
ejpam-4127	126	8	,	,	PUNCT
ejpam-4127	126	9	r.	r.	PROPN
ejpam-4127	126	10	n.	n.	PROPN
ejpam-4127	126	11	paluga	paluga	PROPN
ejpam-4127	126	12	,	,	PUNCT
ejpam-4127	126	13	g.	g.	PROPN
ejpam-4127	126	14	a.	a.	PROPN
ejpam-4127	126	15	malacas	malacas	PROPN
ejpam-4127	126	16	/	/	SYM
ejpam-4127	126	17	eur	eur	PROPN
ejpam-4127	126	18	.	.	PUNCT
ejpam-4127	127	1	j.	j.	PROPN
ejpam-4127	127	2	pure	pure	PROPN
ejpam-4127	127	3	appl	appl	PROPN
ejpam-4127	127	4	.	.	PROPN
ejpam-4127	127	5	math	math	PROPN
ejpam-4127	127	6	,	,	PUNCT
ejpam-4127	127	7	14	14	NUM
ejpam-4127	127	8	(	(	PUNCT
ejpam-4127	127	9	4	4	NUM
ejpam-4127	127	10	)	)	PUNCT
ejpam-4127	127	11	(	(	PUNCT
ejpam-4127	127	12	2021	2021	NUM
ejpam-4127	127	13	)	)	PUNCT
ejpam-4127	127	14	,	,	PUNCT
ejpam-4127	127	15	1324	1324	NUM
ejpam-4127	127	16	-	-	SYM
ejpam-4127	127	17	1336	1336	NUM
ejpam-4127	127	18	1330	1330	NUM
ejpam-4127	127	19	=	=	SYM
ejpam-4127	127	20	∆(g)−	∆(g)−	NOUN
ejpam-4127	127	21	rg(a	rg(a	X
ejpam-4127	127	22	)	)	PUNCT
ejpam-4127	128	1	+	+	CCONJ
ejpam-4127	128	2	|v	|v	X
ejpam-4127	128	3	(	(	PUNCT
ejpam-4127	128	4	h)|	h)|	PROPN
ejpam-4127	128	5	≥	≥	PROPN
ejpam-4127	128	6	∆(g	∆(g	NOUN
ejpam-4127	128	7	)	)	PUNCT
ejpam-4127	129	1	+	+	CCONJ
ejpam-4127	129	2	|v	|v	PROPN
ejpam-4127	129	3	(	(	PUNCT
ejpam-4127	129	4	h)|	h)|	NOUN
ejpam-4127	129	5	−	−	PROPN
ejpam-4127	129	6	1	1	NUM
ejpam-4127	129	7	.	.	PUNCT
ejpam-4127	129	8	thus	thus	ADV
ejpam-4127	129	9	,	,	PUNCT
ejpam-4127	129	10	rg(a	rg(a	SYM
ejpam-4127	129	11	)	)	PUNCT
ejpam-4127	129	12	≤	≤	NUM
ejpam-4127	129	13	1	1	NUM
ejpam-4127	129	14	and	and	CCONJ
ejpam-4127	129	15	degg(a	degg(a	PROPN
ejpam-4127	129	16	)	)	PUNCT
ejpam-4127	129	17	≥	≥	NOUN
ejpam-4127	129	18	∆(g)−	∆(g)−	NOUN
ejpam-4127	129	19	1	1	NUM
ejpam-4127	129	20	for	for	ADP
ejpam-4127	129	21	all	all	DET
ejpam-4127	129	22	a	a	DET
ejpam-4127	129	23	∈	∈	NOUN
ejpam-4127	129	24	s.	s.	PROPN
ejpam-4127	129	25	hence	hence	ADV
ejpam-4127	129	26	,	,	PUNCT
ejpam-4127	129	27	δ(s	δ(s	PROPN
ejpam-4127	129	28	:	:	PUNCT
ejpam-4127	129	29	g	g	X
ejpam-4127	129	30	)	)	PUNCT
ejpam-4127	129	31	≥	≥	NOUN
ejpam-4127	129	32	∆(g)−	∆(g)−	NOUN
ejpam-4127	129	33	1	1	NUM
ejpam-4127	129	34	.	.	PUNCT
ejpam-4127	129	35	case	case	NOUN
ejpam-4127	129	36	3	3	NUM
ejpam-4127	129	37	:	:	PUNCT
ejpam-4127	129	38	s	s	VERB
ejpam-4127	129	39	⊆	⊆	NUM
ejpam-4127	129	40	v	v	NOUN
ejpam-4127	129	41	(	(	PUNCT
ejpam-4127	129	42	h	h	NOUN
ejpam-4127	129	43	)	)	PUNCT
ejpam-4127	129	44	.	.	PUNCT
ejpam-4127	130	1	since	since	SCONJ
ejpam-4127	130	2	s	s	PROPN
ejpam-4127	130	3	is	be	AUX
ejpam-4127	130	4	a	a	DET
ejpam-4127	130	5	k	k	ADJ
ejpam-4127	130	6	-	-	PUNCT
ejpam-4127	130	7	cost	cost	NOUN
ejpam-4127	130	8	effective	effective	ADJ
ejpam-4127	130	9	dominating	dominating	NOUN
ejpam-4127	130	10	set	set	VERB
ejpam-4127	130	11	in	in	ADP
ejpam-4127	130	12	g+h	g+h	PROPN
ejpam-4127	130	13	,	,	PUNCT
ejpam-4127	130	14	s	s	VERB
ejpam-4127	130	15	is	be	AUX
ejpam-4127	130	16	a	a	DET
ejpam-4127	130	17	dominating	dominating	NOUN
ejpam-4127	130	18	set	set	NOUN
ejpam-4127	130	19	in	in	ADP
ejpam-4127	130	20	h.	h.	PROPN
ejpam-4127	130	21	let	let	VERB
ejpam-4127	130	22	a	a	DET
ejpam-4127	130	23	∈	∈	NOUN
ejpam-4127	130	24	s	s	NOUN
ejpam-4127	130	25	and	and	CCONJ
ejpam-4127	130	26	rh(a	rh(a	NUM
ejpam-4127	130	27	)	)	PUNCT
ejpam-4127	130	28	=	=	SYM
ejpam-4127	130	29	∆(h)−	∆(h)−	NOUN
ejpam-4127	130	30	degh(a	degh(a	NOUN
ejpam-4127	130	31	)	)	PUNCT
ejpam-4127	130	32	,	,	PUNCT
ejpam-4127	130	33	and	and	CCONJ
ejpam-4127	130	34	t	t	X
ejpam-4127	130	35	=	=	SYM
ejpam-4127	130	36	∆(h	∆(h	NOUN
ejpam-4127	130	37	)	)	PUNCT
ejpam-4127	130	38	+	+	CCONJ
ejpam-4127	130	39	|v	|v	X
ejpam-4127	130	40	(	(	PUNCT
ejpam-4127	130	41	g)|	g)|	PROPN
ejpam-4127	130	42	−∆(g)−	−∆(g)−	NOUN
ejpam-4127	130	43	|v	|v	X
ejpam-4127	130	44	(	(	PUNCT
ejpam-4127	130	45	h)|	h)|	PROPN
ejpam-4127	130	46	.	.	PUNCT
ejpam-4127	131	1	then	then	ADV
ejpam-4127	131	2	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	131	3	)	)	PUNCT
ejpam-4127	131	4	\	\	PROPN
ejpam-4127	131	5	s|	s|	VERB
ejpam-4127	131	6	−	−	PROPN
ejpam-4127	131	7	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	131	8	)	)	PUNCT
ejpam-4127	131	9	∩	∩	NOUN
ejpam-4127	131	10	s|	s|	NOUN
ejpam-4127	131	11	=	=	PUNCT
ejpam-4127	131	12	degh(a)−	degh(a)−	NOUN
ejpam-4127	131	13	|nh(a	|nh(a	NUM
ejpam-4127	131	14	)	)	PUNCT
ejpam-4127	131	15	∩	∩	NOUN
ejpam-4127	131	16	s|+	s|+	PROPN
ejpam-4127	131	17	|v	|v	NOUN
ejpam-4127	131	18	(	(	PUNCT
ejpam-4127	131	19	g)|	g)|	NOUN
ejpam-4127	131	20	−	−	PROPN
ejpam-4127	131	21	|nh(a	|nh(a	NUM
ejpam-4127	131	22	)	)	PUNCT
ejpam-4127	131	23	∩	∩	NOUN
ejpam-4127	131	24	s|	s|	NOUN
ejpam-4127	131	25	=	=	SYM
ejpam-4127	131	26	∆(h)−	∆(h)−	NOUN
ejpam-4127	131	27	rh(a)−	rh(a)−	PROPN
ejpam-4127	131	28	2|nh(a	2|nh(a	PROPN
ejpam-4127	131	29	)	)	PUNCT
ejpam-4127	131	30	∩	∩	NOUN
ejpam-4127	131	31	s|+	s|+	PROPN
ejpam-4127	131	32	|v	|v	NOUN
ejpam-4127	131	33	(	(	PUNCT
ejpam-4127	131	34	g)|	g)|	NOUN
ejpam-4127	131	35	=	=	SYM
ejpam-4127	131	36	∆(g	∆(g	PROPN
ejpam-4127	131	37	)	)	PUNCT
ejpam-4127	132	1	+	+	CCONJ
ejpam-4127	132	2	|v	|v	X
ejpam-4127	132	3	(	(	PUNCT
ejpam-4127	132	4	h)|+	h)|+	NOUN
ejpam-4127	132	5	t−	t−	ADP
ejpam-4127	132	6	rh(a)−	rh(a)−	PROPN
ejpam-4127	132	7	2|nh(a	2|nh(a	PROPN
ejpam-4127	132	8	)	)	PUNCT
ejpam-4127	132	9	∩	∩	NOUN
ejpam-4127	132	10	s|	s|	NOUN
ejpam-4127	132	11	=	=	SYM
ejpam-4127	132	12	∆(g	∆(g	NOUN
ejpam-4127	132	13	)	)	PUNCT
ejpam-4127	133	1	+	+	CCONJ
ejpam-4127	133	2	|v	|v	PROPN
ejpam-4127	133	3	(	(	PUNCT
ejpam-4127	133	4	h)|	h)|	NOUN
ejpam-4127	133	5	−	−	PROPN
ejpam-4127	133	6	(	(	PUNCT
ejpam-4127	133	7	rh(a	rh(a	NOUN
ejpam-4127	133	8	)	)	PUNCT
ejpam-4127	133	9	+	+	CCONJ
ejpam-4127	133	10	2|nh(a	2|nh(a	NUM
ejpam-4127	133	11	)	)	PUNCT
ejpam-4127	133	12	∩	∩	NOUN
ejpam-4127	133	13	s|	s|	VERB
ejpam-4127	133	14	−	−	PROPN
ejpam-4127	133	15	t	t	PROPN
ejpam-4127	133	16	)	)	PUNCT
ejpam-4127	133	17	.	.	PUNCT
ejpam-4127	134	1	thus	thus	ADV
ejpam-4127	134	2	,	,	PUNCT
ejpam-4127	134	3	0	0	NUM
ejpam-4127	134	4	≤	≤	NUM
ejpam-4127	134	5	rh(a	rh(a	NOUN
ejpam-4127	134	6	)	)	PUNCT
ejpam-4127	135	1	+	+	CCONJ
ejpam-4127	135	2	2|nh(a	2|nh(a	NUM
ejpam-4127	135	3	)	)	PUNCT
ejpam-4127	135	4	∩	∩	NOUN
ejpam-4127	135	5	s|	s|	VERB
ejpam-4127	135	6	−	−	PROPN
ejpam-4127	135	7	t	t	NOUN
ejpam-4127	135	8	≤	≤	NUM
ejpam-4127	135	9	1	1	NUM
ejpam-4127	135	10	.	.	PUNCT
ejpam-4127	136	1	hence	hence	ADV
ejpam-4127	136	2	,	,	PUNCT
ejpam-4127	136	3	degh(a	degh(a	NOUN
ejpam-4127	136	4	)	)	PUNCT
ejpam-4127	137	1	+	+	CCONJ
ejpam-4127	137	2	|v	|v	X
ejpam-4127	137	3	(	(	PUNCT
ejpam-4127	137	4	g)|	g)|	PROPN
ejpam-4127	137	5	−	−	PROPN
ejpam-4127	137	6	2|nh(a	2|nh(a	PROPN
ejpam-4127	137	7	)	)	PUNCT
ejpam-4127	137	8	∩	∩	NOUN
ejpam-4127	137	9	s|	s|	NOUN
ejpam-4127	137	10	=	=	SYM
ejpam-4127	137	11	∆(g	∆(g	NOUN
ejpam-4127	137	12	)	)	PUNCT
ejpam-4127	138	1	+	+	CCONJ
ejpam-4127	138	2	|v	|v	PROPN
ejpam-4127	138	3	(	(	PUNCT
ejpam-4127	138	4	h)|	h)|	NOUN
ejpam-4127	138	5	−	−	PROPN
ejpam-4127	138	6	1	1	NUM
ejpam-4127	138	7	.	.	PUNCT
ejpam-4127	139	1	conversely	conversely	ADV
ejpam-4127	139	2	,	,	PUNCT
ejpam-4127	139	3	suppose	suppose	VERB
ejpam-4127	139	4	that	that	SCONJ
ejpam-4127	139	5	s	s	VERB
ejpam-4127	139	6	satisfies	satisfie	NOUN
ejpam-4127	139	7	property	property	NOUN
ejpam-4127	139	8	(	(	PUNCT
ejpam-4127	139	9	i	i	NOUN
ejpam-4127	139	10	)	)	PUNCT
ejpam-4127	139	11	.	.	PUNCT
ejpam-4127	140	1	then	then	ADV
ejpam-4127	140	2	s	s	VERB
ejpam-4127	140	3	is	be	AUX
ejpam-4127	140	4	a	a	DET
ejpam-4127	140	5	dominating	dominating	NOUN
ejpam-4127	140	6	set	set	VERB
ejpam-4127	140	7	in	in	ADP
ejpam-4127	140	8	g+h	g+h	PROPN
ejpam-4127	140	9	.	.	PUNCT
ejpam-4127	141	1	let	let	VERB
ejpam-4127	141	2	a	a	DET
ejpam-4127	141	3	∈	∈	PROPN
ejpam-4127	141	4	s.	s.	PROPN
ejpam-4127	141	5	then	then	ADV
ejpam-4127	141	6	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	141	7	)	)	PUNCT
ejpam-4127	141	8	\	\	PROPN
ejpam-4127	141	9	s|	s|	VERB
ejpam-4127	141	10	−	−	PROPN
ejpam-4127	141	11	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	141	12	)	)	PUNCT
ejpam-4127	141	13	∩	∩	NOUN
ejpam-4127	141	14	s|	s|	NOUN
ejpam-4127	141	15	=	=	SYM
ejpam-4127	141	16	degg(a	degg(a	PROPN
ejpam-4127	141	17	)	)	PUNCT
ejpam-4127	142	1	+	+	CCONJ
ejpam-4127	142	2	|v	|v	PROPN
ejpam-4127	142	3	(	(	PUNCT
ejpam-4127	142	4	h)|	h)|	NOUN
ejpam-4127	142	5	=	=	SYM
ejpam-4127	142	6	∆(g)−	∆(g)−	PROPN
ejpam-4127	142	7	1	1	NUM
ejpam-4127	142	8	+	+	CCONJ
ejpam-4127	142	9	|v	|v	X
ejpam-4127	142	10	(	(	PUNCT
ejpam-4127	142	11	h)|	h)|	NOUN
ejpam-4127	142	12	=	=	PUNCT
ejpam-4127	142	13	k.	k.	PROPN
ejpam-4127	142	14	hence	hence	ADV
ejpam-4127	142	15	,	,	PUNCT
ejpam-4127	142	16	s	s	VERB
ejpam-4127	142	17	is	be	AUX
ejpam-4127	142	18	a	a	DET
ejpam-4127	142	19	k	k	ADJ
ejpam-4127	142	20	-	-	PUNCT
ejpam-4127	142	21	cost	cost	NOUN
ejpam-4127	142	22	effective	effective	ADJ
ejpam-4127	142	23	dominating	dominating	NOUN
ejpam-4127	142	24	set	set	VERB
ejpam-4127	142	25	in	in	ADP
ejpam-4127	142	26	g+h	g+h	PROPN
ejpam-4127	142	27	.	.	PUNCT
ejpam-4127	143	1	suppose	suppose	VERB
ejpam-4127	143	2	that	that	SCONJ
ejpam-4127	143	3	s	s	VERB
ejpam-4127	143	4	satisfies	satisfie	NOUN
ejpam-4127	143	5	property	property	NOUN
ejpam-4127	143	6	(	(	PUNCT
ejpam-4127	143	7	ii	ii	NOUN
ejpam-4127	143	8	)	)	PUNCT
ejpam-4127	143	9	.	.	PUNCT
ejpam-4127	144	1	then	then	ADV
ejpam-4127	144	2	s	s	VERB
ejpam-4127	144	3	is	be	AUX
ejpam-4127	144	4	a	a	DET
ejpam-4127	144	5	dominating	dominating	NOUN
ejpam-4127	144	6	set	set	VERB
ejpam-4127	144	7	in	in	ADP
ejpam-4127	144	8	g+h	g+h	PROPN
ejpam-4127	144	9	.	.	PUNCT
ejpam-4127	145	1	now	now	ADV
ejpam-4127	145	2	,	,	PUNCT
ejpam-4127	145	3	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	145	4	)	)	PUNCT
ejpam-4127	145	5	\	\	NOUN
ejpam-4127	145	6	s|	s|	VERB
ejpam-4127	145	7	−	−	PROPN
ejpam-4127	145	8	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	145	9	)	)	PUNCT
ejpam-4127	145	10	∩	∩	NOUN
ejpam-4127	145	11	s|	s|	NOUN
ejpam-4127	145	12	=	=	PUNCT
ejpam-4127	145	13	degh(a)−	degh(a)−	NOUN
ejpam-4127	145	14	|nh(a	|nh(a	NUM
ejpam-4127	145	15	)	)	PUNCT
ejpam-4127	145	16	∩	∩	NOUN
ejpam-4127	145	17	s|+	s|+	PROPN
ejpam-4127	145	18	|v	|v	NOUN
ejpam-4127	145	19	(	(	PUNCT
ejpam-4127	145	20	g)|	g)|	NOUN
ejpam-4127	145	21	−	−	PROPN
ejpam-4127	145	22	|nh(a	|nh(a	NUM
ejpam-4127	145	23	)	)	PUNCT
ejpam-4127	145	24	∩	∩	NOUN
ejpam-4127	145	25	s|	s|	NOUN
ejpam-4127	145	26	=	=	SYM
ejpam-4127	145	27	∆(h)−	∆(h)−	NOUN
ejpam-4127	145	28	rh(a)−	rh(a)−	PROPN
ejpam-4127	145	29	2|nh(a	2|nh(a	PROPN
ejpam-4127	145	30	)	)	PUNCT
ejpam-4127	145	31	∩	∩	NOUN
ejpam-4127	145	32	s|+	s|+	PROPN
ejpam-4127	145	33	|v	|v	NOUN
ejpam-4127	145	34	(	(	PUNCT
ejpam-4127	145	35	g)|	g)|	NOUN
ejpam-4127	145	36	=	=	SYM
ejpam-4127	145	37	∆(g	∆(g	PROPN
ejpam-4127	145	38	)	)	PUNCT
ejpam-4127	146	1	+	+	CCONJ
ejpam-4127	146	2	|v	|v	X
ejpam-4127	146	3	(	(	PUNCT
ejpam-4127	146	4	h)|+	h)|+	NOUN
ejpam-4127	146	5	t−	t−	ADP
ejpam-4127	146	6	rh(a)−	rh(a)−	PROPN
ejpam-4127	146	7	2|nh(a	2|nh(a	PROPN
ejpam-4127	146	8	)	)	PUNCT
ejpam-4127	146	9	∩	∩	NOUN
ejpam-4127	146	10	s|	s|	NOUN
ejpam-4127	146	11	=	=	SYM
ejpam-4127	146	12	∆(g	∆(g	NOUN
ejpam-4127	146	13	)	)	PUNCT
ejpam-4127	147	1	+	+	CCONJ
ejpam-4127	147	2	|v	|v	PROPN
ejpam-4127	147	3	(	(	PUNCT
ejpam-4127	147	4	h)|	h)|	NOUN
ejpam-4127	147	5	−	−	PROPN
ejpam-4127	147	6	(	(	PUNCT
ejpam-4127	147	7	rh(a	rh(a	NOUN
ejpam-4127	147	8	)	)	PUNCT
ejpam-4127	147	9	+	+	CCONJ
ejpam-4127	147	10	2|nh(a	2|nh(a	NUM
ejpam-4127	147	11	)	)	PUNCT
ejpam-4127	147	12	∩	∩	NOUN
ejpam-4127	147	13	s|	s|	VERB
ejpam-4127	147	14	−	−	PROPN
ejpam-4127	147	15	t	t	PROPN
ejpam-4127	147	16	)	)	PUNCT
ejpam-4127	147	17	.	.	PUNCT
ejpam-4127	148	1	if	if	SCONJ
ejpam-4127	148	2	rh(a	rh(a	NUM
ejpam-4127	148	3	)	)	PUNCT
ejpam-4127	149	1	+	+	PUNCT
ejpam-4127	149	2	2|nh(a	2|nh(a	NUM
ejpam-4127	149	3	)	)	PUNCT
ejpam-4127	149	4	∩	∩	NOUN
ejpam-4127	149	5	s|	s|	VERB
ejpam-4127	149	6	−	−	PROPN
ejpam-4127	149	7	t	t	NOUN
ejpam-4127	149	8	=	=	SYM
ejpam-4127	149	9	0	0	NUM
ejpam-4127	149	10	,	,	PUNCT
ejpam-4127	149	11	then	then	ADV
ejpam-4127	149	12	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	149	13	)	)	PUNCT
ejpam-4127	149	14	\	\	PROPN
ejpam-4127	149	15	s|	s|	VERB
ejpam-4127	149	16	−	−	PROPN
ejpam-4127	149	17	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	149	18	)	)	PUNCT
ejpam-4127	149	19	∩	∩	NOUN
ejpam-4127	149	20	s|	s|	NOUN
ejpam-4127	149	21	=	=	PUNCT
ejpam-4127	149	22	degh(a)−	degh(a)−	NOUN
ejpam-4127	149	23	|nh(a	|nh(a	NUM
ejpam-4127	149	24	)	)	PUNCT
ejpam-4127	149	25	∩	∩	NOUN
ejpam-4127	149	26	s|+	s|+	PROPN
ejpam-4127	149	27	|v	|v	NOUN
ejpam-4127	149	28	(	(	PUNCT
ejpam-4127	149	29	g)|	g)|	NOUN
ejpam-4127	149	30	−	−	PROPN
ejpam-4127	149	31	|nh(a	|nh(a	NUM
ejpam-4127	149	32	)	)	PUNCT
ejpam-4127	149	33	∩	∩	NOUN
ejpam-4127	149	34	s|	s|	NOUN
ejpam-4127	149	35	=	=	SYM
ejpam-4127	149	36	∆(h)−	∆(h)−	NOUN
ejpam-4127	149	37	rh(a)−	rh(a)−	PROPN
ejpam-4127	149	38	2|nh(a	2|nh(a	PROPN
ejpam-4127	149	39	)	)	PUNCT
ejpam-4127	149	40	∩	∩	NOUN
ejpam-4127	149	41	s|+	s|+	PROPN
ejpam-4127	149	42	|v	|v	NOUN
ejpam-4127	149	43	(	(	PUNCT
ejpam-4127	149	44	g)|	g)|	NOUN
ejpam-4127	149	45	=	=	SYM
ejpam-4127	149	46	∆(g	∆(g	PROPN
ejpam-4127	149	47	)	)	PUNCT
ejpam-4127	150	1	+	+	CCONJ
ejpam-4127	150	2	|v	|v	X
ejpam-4127	150	3	(	(	PUNCT
ejpam-4127	150	4	h)|+	h)|+	NOUN
ejpam-4127	150	5	t−	t−	ADP
ejpam-4127	150	6	rh(a)−	rh(a)−	PROPN
ejpam-4127	150	7	2|nh(a	2|nh(a	PROPN
ejpam-4127	150	8	)	)	PUNCT
ejpam-4127	150	9	∩	∩	NOUN
ejpam-4127	150	10	s|	s|	NOUN
ejpam-4127	150	11	=	=	SYM
ejpam-4127	150	12	∆(g	∆(g	NOUN
ejpam-4127	150	13	)	)	PUNCT
ejpam-4127	151	1	+	+	CCONJ
ejpam-4127	151	2	|v	|v	PROPN
ejpam-4127	151	3	(	(	PUNCT
ejpam-4127	151	4	h)|	h)|	NOUN
ejpam-4127	151	5	−	−	PROPN
ejpam-4127	151	6	(	(	PUNCT
ejpam-4127	151	7	rh(a	rh(a	NOUN
ejpam-4127	151	8	)	)	PUNCT
ejpam-4127	151	9	+	+	CCONJ
ejpam-4127	151	10	2|nh(a	2|nh(a	NUM
ejpam-4127	151	11	)	)	PUNCT
ejpam-4127	151	12	∩	∩	NOUN
ejpam-4127	151	13	s|	s|	VERB
ejpam-4127	151	14	−	−	PROPN
ejpam-4127	151	15	t	t	NOUN
ejpam-4127	151	16	=	=	SYM
ejpam-4127	151	17	∆(g	∆(g	PROPN
ejpam-4127	151	18	)	)	PUNCT
ejpam-4127	152	1	+	+	CCONJ
ejpam-4127	152	2	|v	|v	PROPN
ejpam-4127	152	3	(	(	PUNCT
ejpam-4127	152	4	h)|	h)|	PROPN
ejpam-4127	152	5	>	>	X
ejpam-4127	152	6	∆(g	∆(g	PROPN
ejpam-4127	152	7	)	)	PUNCT
ejpam-4127	152	8	+	+	CCONJ
ejpam-4127	152	9	|v	|v	PROPN
ejpam-4127	152	10	(	(	PUNCT
ejpam-4127	152	11	h)|	h)|	NOUN
ejpam-4127	152	12	−	−	PROPN
ejpam-4127	152	13	1	1	NUM
ejpam-4127	152	14	=	=	SYM
ejpam-4127	152	15	k.	k.	NOUN
ejpam-4127	152	16	hence	hence	ADV
ejpam-4127	152	17	,	,	PUNCT
ejpam-4127	152	18	s	s	VERB
ejpam-4127	152	19	is	be	AUX
ejpam-4127	152	20	a	a	DET
ejpam-4127	152	21	k	k	ADJ
ejpam-4127	152	22	-	-	PUNCT
ejpam-4127	152	23	cost	cost	NOUN
ejpam-4127	152	24	effective	effective	ADJ
ejpam-4127	152	25	dominating	dominating	NOUN
ejpam-4127	152	26	set	set	VERB
ejpam-4127	152	27	in	in	ADP
ejpam-4127	152	28	g+h	g+h	PROPN
ejpam-4127	152	29	.	.	PUNCT
ejpam-4127	153	1	if	if	SCONJ
ejpam-4127	153	2	rh(a	rh(a	NUM
ejpam-4127	153	3	)	)	PUNCT
ejpam-4127	154	1	+	+	PUNCT
ejpam-4127	154	2	2|nh(a	2|nh(a	NUM
ejpam-4127	154	3	)	)	PUNCT
ejpam-4127	154	4	∩	∩	NOUN
ejpam-4127	154	5	s|	s|	VERB
ejpam-4127	154	6	−	−	PROPN
ejpam-4127	154	7	t	t	NOUN
ejpam-4127	154	8	=	=	SYM
ejpam-4127	154	9	1	1	NUM
ejpam-4127	154	10	j.	j.	PROPN
ejpam-4127	154	11	b.	b.	PROPN
ejpam-4127	154	12	palco	palco	PROPN
ejpam-4127	154	13	,	,	PUNCT
ejpam-4127	154	14	r.	r.	PROPN
ejpam-4127	154	15	n.	n.	PROPN
ejpam-4127	154	16	paluga	paluga	PROPN
ejpam-4127	154	17	,	,	PUNCT
ejpam-4127	154	18	g.	g.	PROPN
ejpam-4127	154	19	a.	a.	PROPN
ejpam-4127	154	20	malacas	malacas	PROPN
ejpam-4127	154	21	/	/	SYM
ejpam-4127	154	22	eur	eur	PROPN
ejpam-4127	154	23	.	.	PUNCT
ejpam-4127	155	1	j.	j.	PROPN
ejpam-4127	155	2	pure	pure	PROPN
ejpam-4127	155	3	appl	appl	PROPN
ejpam-4127	155	4	.	.	PROPN
ejpam-4127	155	5	math	math	PROPN
ejpam-4127	155	6	,	,	PUNCT
ejpam-4127	155	7	14	14	NUM
ejpam-4127	155	8	(	(	PUNCT
ejpam-4127	155	9	4	4	NUM
ejpam-4127	155	10	)	)	PUNCT
ejpam-4127	155	11	(	(	PUNCT
ejpam-4127	155	12	2021	2021	NUM
ejpam-4127	155	13	)	)	PUNCT
ejpam-4127	155	14	,	,	PUNCT
ejpam-4127	155	15	1324	1324	NUM
ejpam-4127	155	16	-	-	SYM
ejpam-4127	155	17	1336	1336	NUM
ejpam-4127	155	18	1331	1331	NUM
ejpam-4127	155	19	then	then	ADV
ejpam-4127	155	20	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	155	21	)	)	PUNCT
ejpam-4127	155	22	\	\	PROPN
ejpam-4127	155	23	s|	s|	VERB
ejpam-4127	155	24	−	−	PROPN
ejpam-4127	155	25	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	155	26	)	)	PUNCT
ejpam-4127	155	27	∩	∩	NOUN
ejpam-4127	155	28	s|	s|	NOUN
ejpam-4127	155	29	=	=	PUNCT
ejpam-4127	155	30	degh(a)−	degh(a)−	NOUN
ejpam-4127	155	31	|nh(a	|nh(a	NUM
ejpam-4127	155	32	)	)	PUNCT
ejpam-4127	155	33	∩	∩	NOUN
ejpam-4127	155	34	s|+	s|+	PROPN
ejpam-4127	155	35	|v	|v	NOUN
ejpam-4127	155	36	(	(	PUNCT
ejpam-4127	155	37	g)|	g)|	NOUN
ejpam-4127	155	38	−	−	PROPN
ejpam-4127	155	39	|nh(a	|nh(a	NUM
ejpam-4127	155	40	)	)	PUNCT
ejpam-4127	155	41	∩	∩	NOUN
ejpam-4127	155	42	s|	s|	NOUN
ejpam-4127	155	43	=	=	SYM
ejpam-4127	155	44	∆(h)−	∆(h)−	NOUN
ejpam-4127	155	45	rh(a)−	rh(a)−	PROPN
ejpam-4127	155	46	2|nh(a	2|nh(a	PROPN
ejpam-4127	155	47	)	)	PUNCT
ejpam-4127	155	48	∩	∩	NOUN
ejpam-4127	155	49	s|+	s|+	PROPN
ejpam-4127	155	50	|v	|v	NOUN
ejpam-4127	155	51	(	(	PUNCT
ejpam-4127	155	52	g)|	g)|	NOUN
ejpam-4127	155	53	=	=	SYM
ejpam-4127	155	54	∆(g	∆(g	PROPN
ejpam-4127	155	55	)	)	PUNCT
ejpam-4127	156	1	+	+	CCONJ
ejpam-4127	156	2	|v	|v	X
ejpam-4127	156	3	(	(	PUNCT
ejpam-4127	156	4	h)|+	h)|+	NOUN
ejpam-4127	156	5	t−	t−	ADP
ejpam-4127	156	6	rh(a)−	rh(a)−	PROPN
ejpam-4127	156	7	2|nh(a	2|nh(a	PROPN
ejpam-4127	156	8	)	)	PUNCT
ejpam-4127	156	9	∩	∩	NOUN
ejpam-4127	156	10	s|	s|	NOUN
ejpam-4127	156	11	=	=	SYM
ejpam-4127	156	12	∆(g	∆(g	NOUN
ejpam-4127	156	13	)	)	PUNCT
ejpam-4127	157	1	+	+	CCONJ
ejpam-4127	157	2	|v	|v	PROPN
ejpam-4127	157	3	(	(	PUNCT
ejpam-4127	157	4	h)|	h)|	NOUN
ejpam-4127	157	5	−	−	PROPN
ejpam-4127	157	6	(	(	PUNCT
ejpam-4127	157	7	rh(a	rh(a	NOUN
ejpam-4127	157	8	)	)	PUNCT
ejpam-4127	157	9	+	+	CCONJ
ejpam-4127	157	10	2|nh(a	2|nh(a	NUM
ejpam-4127	157	11	)	)	PUNCT
ejpam-4127	157	12	∩	∩	NOUN
ejpam-4127	157	13	s|	s|	VERB
ejpam-4127	157	14	−	−	PROPN
ejpam-4127	157	15	t	t	NOUN
ejpam-4127	157	16	=	=	SYM
ejpam-4127	157	17	∆(g	∆(g	PROPN
ejpam-4127	157	18	)	)	PUNCT
ejpam-4127	158	1	+	+	CCONJ
ejpam-4127	158	2	|v	|v	PROPN
ejpam-4127	158	3	(	(	PUNCT
ejpam-4127	158	4	h)|	h)|	NOUN
ejpam-4127	158	5	−	−	PROPN
ejpam-4127	158	6	1	1	NUM
ejpam-4127	158	7	=	=	SYM
ejpam-4127	158	8	k.	k.	NOUN
ejpam-4127	158	9	hence	hence	ADV
ejpam-4127	158	10	,	,	PUNCT
ejpam-4127	158	11	s	s	VERB
ejpam-4127	158	12	is	be	AUX
ejpam-4127	158	13	a	a	DET
ejpam-4127	158	14	k	k	ADJ
ejpam-4127	158	15	-	-	PUNCT
ejpam-4127	158	16	cost	cost	NOUN
ejpam-4127	158	17	effective	effective	ADJ
ejpam-4127	158	18	dominating	dominating	NOUN
ejpam-4127	158	19	set	set	VERB
ejpam-4127	158	20	in	in	ADP
ejpam-4127	158	21	g+h	g+h	PROPN
ejpam-4127	158	22	.	.	PUNCT
ejpam-4127	159	1	therefore	therefore	ADV
ejpam-4127	159	2	,	,	PUNCT
ejpam-4127	159	3	s	s	VERB
ejpam-4127	159	4	is	be	AUX
ejpam-4127	159	5	a	a	DET
ejpam-4127	159	6	k	k	ADJ
ejpam-4127	159	7	-	-	PUNCT
ejpam-4127	159	8	cost	cost	NOUN
ejpam-4127	159	9	effective	effective	ADJ
ejpam-4127	159	10	dominating	dominating	NOUN
ejpam-4127	159	11	set	set	VERB
ejpam-4127	159	12	in	in	ADP
ejpam-4127	159	13	g+h	g+h	PROPN
ejpam-4127	159	14	.	.	PUNCT
ejpam-4127	160	1	theorem	theorem	NOUN
ejpam-4127	160	2	5	5	NUM
ejpam-4127	160	3	.	.	PUNCT
ejpam-4127	161	1	let	let	VERB
ejpam-4127	161	2	g	g	NOUN
ejpam-4127	161	3	and	and	CCONJ
ejpam-4127	161	4	h	h	NOUN
ejpam-4127	161	5	be	be	AUX
ejpam-4127	161	6	connected	connect	VERB
ejpam-4127	161	7	graphs	graph	NOUN
ejpam-4127	161	8	such	such	ADJ
ejpam-4127	161	9	that	that	DET
ejpam-4127	161	10	min{γ(g	min{γ(g	PROPN
ejpam-4127	161	11	)	)	PUNCT
ejpam-4127	161	12	,	,	PUNCT
ejpam-4127	161	13	γ(h	γ(h	NOUN
ejpam-4127	161	14	)	)	PUNCT
ejpam-4127	161	15	}	}	PUNCT
ejpam-4127	161	16	≥	≥	NOUN
ejpam-4127	161	17	2	2	NUM
ejpam-4127	161	18	and	and	CCONJ
ejpam-4127	161	19	k	k	NOUN
ejpam-4127	161	20	=	=	SYM
ejpam-4127	161	21	∆(g	∆(g	PROPN
ejpam-4127	161	22	)	)	PUNCT
ejpam-4127	162	1	+	+	CCONJ
ejpam-4127	162	2	|v	|v	PROPN
ejpam-4127	162	3	(	(	PUNCT
ejpam-4127	162	4	h)|	h)|	PROPN
ejpam-4127	162	5	.	.	PUNCT
ejpam-4127	163	1	then	then	ADV
ejpam-4127	163	2	s	s	VERB
ejpam-4127	163	3	is	be	AUX
ejpam-4127	163	4	a	a	DET
ejpam-4127	163	5	k	k	ADJ
ejpam-4127	163	6	-	-	PUNCT
ejpam-4127	163	7	cost	cost	NOUN
ejpam-4127	163	8	effective	effective	ADJ
ejpam-4127	163	9	dominating	dominating	NOUN
ejpam-4127	163	10	set	set	VERB
ejpam-4127	163	11	in	in	ADP
ejpam-4127	163	12	g+h	g+h	PROPN
ejpam-4127	164	1	if	if	SCONJ
ejpam-4127	164	2	and	and	CCONJ
ejpam-4127	164	3	only	only	ADV
ejpam-4127	164	4	if	if	SCONJ
ejpam-4127	164	5	one	one	NUM
ejpam-4127	164	6	of	of	ADP
ejpam-4127	164	7	the	the	DET
ejpam-4127	164	8	following	follow	VERB
ejpam-4127	164	9	holds	hold	VERB
ejpam-4127	164	10	:	:	PUNCT
ejpam-4127	164	11	(	(	PUNCT
ejpam-4127	164	12	i	i	NOUN
ejpam-4127	164	13	)	)	PUNCT
ejpam-4127	164	14	s	s	VERB
ejpam-4127	164	15	is	be	AUX
ejpam-4127	164	16	an	an	DET
ejpam-4127	164	17	independent	independent	ADJ
ejpam-4127	164	18	dominating	dominating	NOUN
ejpam-4127	164	19	set	set	VERB
ejpam-4127	164	20	in	in	ADP
ejpam-4127	164	21	g	g	PROPN
ejpam-4127	164	22	such	such	ADJ
ejpam-4127	164	23	that	that	DET
ejpam-4127	164	24	δ(s	δ(s	PROPN
ejpam-4127	164	25	:	:	PUNCT
ejpam-4127	164	26	g	g	X
ejpam-4127	164	27	)	)	PUNCT
ejpam-4127	164	28	=	=	SYM
ejpam-4127	164	29	∆(g	∆(g	PROPN
ejpam-4127	164	30	)	)	PUNCT
ejpam-4127	164	31	;	;	PUNCT
ejpam-4127	164	32	(	(	PUNCT
ejpam-4127	164	33	ii	ii	NOUN
ejpam-4127	164	34	)	)	PUNCT
ejpam-4127	164	35	s	s	VERB
ejpam-4127	164	36	is	be	AUX
ejpam-4127	164	37	a	a	DET
ejpam-4127	164	38	dominating	dominating	NOUN
ejpam-4127	164	39	set	set	VERB
ejpam-4127	164	40	inh	inh	PROPN
ejpam-4127	164	41	such	such	ADJ
ejpam-4127	164	42	that	that	DET
ejpam-4127	164	43	degh(a)+|v	degh(a)+|v	NOUN
ejpam-4127	164	44	(	(	PUNCT
ejpam-4127	164	45	g)|	g)|	NOUN
ejpam-4127	164	46	=	=	PUNCT
ejpam-4127	164	47	2|nh(a)∩s|+∆(g)+|v	2|nh(a)∩s|+∆(g)+|v	NUM
ejpam-4127	164	48	(	(	PUNCT
ejpam-4127	164	49	h)|	h)|	NOUN
ejpam-4127	164	50	and	and	CCONJ
ejpam-4127	164	51	rh(a	rh(a	NUM
ejpam-4127	164	52	)	)	PUNCT
ejpam-4127	165	1	+	+	PUNCT
ejpam-4127	165	2	2|nh(a	2|nh(a	NUM
ejpam-4127	165	3	)	)	PUNCT
ejpam-4127	165	4	∩	∩	NOUN
ejpam-4127	165	5	s|	s|	VERB
ejpam-4127	165	6	−	−	PROPN
ejpam-4127	165	7	t	t	NOUN
ejpam-4127	165	8	=	=	SYM
ejpam-4127	165	9	0	0	NUM
ejpam-4127	165	10	,	,	PUNCT
ejpam-4127	165	11	where	where	SCONJ
ejpam-4127	165	12	rh(a	rh(a	NOUN
ejpam-4127	165	13	)	)	PUNCT
ejpam-4127	166	1	=	=	SYM
ejpam-4127	166	2	∆(h	∆(h	NOUN
ejpam-4127	166	3	)	)	PUNCT
ejpam-4127	166	4	−	−	PROPN
ejpam-4127	166	5	degh(a	degh(a	NOUN
ejpam-4127	166	6	)	)	PUNCT
ejpam-4127	166	7	,	,	PUNCT
ejpam-4127	166	8	t	t	NOUN
ejpam-4127	166	9	=	=	PUNCT
ejpam-4127	166	10	∆(h	∆(h	NOUN
ejpam-4127	166	11	)	)	PUNCT
ejpam-4127	166	12	+	+	CCONJ
ejpam-4127	167	1	|v	|v	X
ejpam-4127	167	2	(	(	PUNCT
ejpam-4127	167	3	g)|	g)|	PROPN
ejpam-4127	167	4	−∆(g)−	−∆(g)−	PUNCT
ejpam-4127	167	5	|v	|v	X
ejpam-4127	167	6	(	(	PUNCT
ejpam-4127	167	7	h)|	h)|	PROPN
ejpam-4127	167	8	.	.	PUNCT
ejpam-4127	167	9	proof	proof	NOUN
ejpam-4127	167	10	:	:	PUNCT
ejpam-4127	167	11	suppose	suppose	VERB
ejpam-4127	167	12	that	that	SCONJ
ejpam-4127	167	13	s	s	VERB
ejpam-4127	167	14	is	be	AUX
ejpam-4127	167	15	a	a	DET
ejpam-4127	167	16	k	k	ADJ
ejpam-4127	167	17	-	-	PUNCT
ejpam-4127	167	18	cost	cost	NOUN
ejpam-4127	167	19	effective	effective	ADJ
ejpam-4127	167	20	dominating	dominating	NOUN
ejpam-4127	167	21	set	set	VERB
ejpam-4127	167	22	in	in	ADP
ejpam-4127	167	23	g	g	PROPN
ejpam-4127	167	24	+	+	CCONJ
ejpam-4127	167	25	h.	h.	PROPN
ejpam-4127	167	26	consider	consider	VERB
ejpam-4127	167	27	the	the	DET
ejpam-4127	167	28	following	follow	VERB
ejpam-4127	167	29	cases	case	NOUN
ejpam-4127	167	30	:	:	PUNCT
ejpam-4127	167	31	case	case	NOUN
ejpam-4127	167	32	1	1	NUM
ejpam-4127	167	33	:	:	SYM
ejpam-4127	167	34	v	v	NOUN
ejpam-4127	167	35	(	(	PUNCT
ejpam-4127	167	36	g	g	NOUN
ejpam-4127	167	37	)	)	PUNCT
ejpam-4127	167	38	∩	∩	PROPN
ejpam-4127	167	39	s	s	PART
ejpam-4127	167	40	̸=	̸=	PROPN
ejpam-4127	167	41	∅	∅	NOUN
ejpam-4127	167	42	and	and	CCONJ
ejpam-4127	167	43	v	v	NOUN
ejpam-4127	167	44	(	(	PUNCT
ejpam-4127	167	45	h	h	NOUN
ejpam-4127	167	46	)	)	PUNCT
ejpam-4127	167	47	∩	∩	NOUN
ejpam-4127	167	48	s	s	PART
ejpam-4127	167	49	̸=	̸=	PROPN
ejpam-4127	167	50	∅.	∅.	ADV
ejpam-4127	167	51	let	let	VERB
ejpam-4127	167	52	a	a	DET
ejpam-4127	167	53	∈	∈	PROPN
ejpam-4127	167	54	v	v	NOUN
ejpam-4127	167	55	(	(	PUNCT
ejpam-4127	167	56	g	g	NOUN
ejpam-4127	167	57	)	)	PUNCT
ejpam-4127	167	58	∩	∩	PROPN
ejpam-4127	167	59	s.	s.	PROPN
ejpam-4127	167	60	then	then	ADV
ejpam-4127	167	61	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	167	62	)	)	PUNCT
ejpam-4127	167	63	\	\	PROPN
ejpam-4127	167	64	s|	s|	VERB
ejpam-4127	167	65	−	−	PROPN
ejpam-4127	167	66	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	167	67	)	)	PUNCT
ejpam-4127	167	68	∩	∩	NOUN
ejpam-4127	167	69	s|	s|	VERB
ejpam-4127	167	70	≤	≤	NUM
ejpam-4127	167	71	∆(g)−	∆(g)−	NOUN
ejpam-4127	167	72	1	1	NUM
ejpam-4127	167	73	+	+	CCONJ
ejpam-4127	167	74	|v	|v	X
ejpam-4127	167	75	(	(	PUNCT
ejpam-4127	167	76	h)|	h)|	NOUN
ejpam-4127	167	77	−	−	PROPN
ejpam-4127	167	78	1	1	NUM
ejpam-4127	167	79	<	<	X
ejpam-4127	167	80	∆(g	∆(g	PROPN
ejpam-4127	167	81	)	)	PUNCT
ejpam-4127	168	1	+	+	CCONJ
ejpam-4127	168	2	|v	|v	PROPN
ejpam-4127	168	3	(	(	PUNCT
ejpam-4127	168	4	h)|	h)|	NOUN
ejpam-4127	168	5	=	=	SYM
ejpam-4127	168	6	k	k	PROPN
ejpam-4127	168	7	,	,	PUNCT
ejpam-4127	168	8	a	a	DET
ejpam-4127	168	9	contradiction	contradiction	NOUN
ejpam-4127	168	10	.	.	PUNCT
ejpam-4127	169	1	thus	thus	ADV
ejpam-4127	169	2	,	,	PUNCT
ejpam-4127	169	3	this	this	DET
ejpam-4127	169	4	case	case	NOUN
ejpam-4127	169	5	is	be	AUX
ejpam-4127	169	6	not	not	PART
ejpam-4127	169	7	possible	possible	ADJ
ejpam-4127	169	8	.	.	PUNCT
ejpam-4127	170	1	case	case	NOUN
ejpam-4127	170	2	2	2	NUM
ejpam-4127	170	3	:	:	PUNCT
ejpam-4127	170	4	s	s	VERB
ejpam-4127	170	5	⊆	⊆	NUM
ejpam-4127	170	6	v	v	NOUN
ejpam-4127	170	7	(	(	PUNCT
ejpam-4127	170	8	g	g	NOUN
ejpam-4127	170	9	)	)	PUNCT
ejpam-4127	170	10	.	.	PUNCT
ejpam-4127	171	1	suppose	suppose	VERB
ejpam-4127	171	2	s	s	NOUN
ejpam-4127	171	3	is	be	AUX
ejpam-4127	171	4	not	not	PART
ejpam-4127	171	5	an	an	DET
ejpam-4127	171	6	independent	independent	ADJ
ejpam-4127	171	7	dominating	dominating	NOUN
ejpam-4127	171	8	set	set	NOUN
ejpam-4127	171	9	g.	g.	PROPN
ejpam-4127	171	10	let	let	VERB
ejpam-4127	171	11	a	a	DET
ejpam-4127	171	12	∈	∈	NOUN
ejpam-4127	171	13	s.	s.	PROPN
ejpam-4127	171	14	then	then	ADV
ejpam-4127	171	15	there	there	PRON
ejpam-4127	171	16	exists	exist	VERB
ejpam-4127	171	17	a	a	DET
ejpam-4127	171	18	′	′	NUM
ejpam-4127	171	19	∈	∈	NOUN
ejpam-4127	171	20	s	s	VERB
ejpam-4127	171	21	such	such	ADJ
ejpam-4127	171	22	that	that	SCONJ
ejpam-4127	171	23	dg(a	dg(a	PROPN
ejpam-4127	171	24	,	,	PUNCT
ejpam-4127	171	25	a	a	DET
ejpam-4127	171	26	′	′	NOUN
ejpam-4127	171	27	)	)	PUNCT
ejpam-4127	172	1	=	=	SYM
ejpam-4127	172	2	1	1	X
ejpam-4127	172	3	.	.	PUNCT
ejpam-4127	172	4	now	now	ADV
ejpam-4127	172	5	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	172	6	)	)	PUNCT
ejpam-4127	172	7	\	\	NOUN
ejpam-4127	172	8	s|	s|	VERB
ejpam-4127	172	9	−	−	PROPN
ejpam-4127	172	10	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	172	11	)	)	PUNCT
ejpam-4127	172	12	∩	∩	NOUN
ejpam-4127	172	13	s|	s|	VERB
ejpam-4127	172	14	≤	≤	NUM
ejpam-4127	172	15	∆(g)−	∆(g)−	NOUN
ejpam-4127	172	16	1	1	NUM
ejpam-4127	172	17	+	+	CCONJ
ejpam-4127	172	18	|v	|v	X
ejpam-4127	172	19	(	(	PUNCT
ejpam-4127	172	20	h)|	h)|	NOUN
ejpam-4127	172	21	−	−	PROPN
ejpam-4127	172	22	1	1	NUM
ejpam-4127	172	23	<	<	X
ejpam-4127	172	24	∆(g	∆(g	PROPN
ejpam-4127	172	25	)	)	PUNCT
ejpam-4127	172	26	+	+	CCONJ
ejpam-4127	172	27	|v	|v	PROPN
ejpam-4127	172	28	(	(	PUNCT
ejpam-4127	172	29	h)|	h)|	NOUN
ejpam-4127	172	30	=	=	SYM
ejpam-4127	172	31	k	k	PROPN
ejpam-4127	172	32	,	,	PUNCT
ejpam-4127	172	33	a	a	DET
ejpam-4127	172	34	contradiction	contradiction	NOUN
ejpam-4127	172	35	.	.	PUNCT
ejpam-4127	173	1	thus	thus	ADV
ejpam-4127	173	2	,	,	PUNCT
ejpam-4127	173	3	in	in	ADP
ejpam-4127	173	4	this	this	DET
ejpam-4127	173	5	case	case	NOUN
ejpam-4127	173	6	s	s	VERB
ejpam-4127	173	7	is	be	AUX
ejpam-4127	173	8	an	an	DET
ejpam-4127	173	9	independent	independent	ADJ
ejpam-4127	173	10	dominating	dominating	NOUN
ejpam-4127	173	11	set	set	VERB
ejpam-4127	173	12	in	in	ADP
ejpam-4127	173	13	g.	g.	PROPN
ejpam-4127	173	14	now	now	ADV
ejpam-4127	173	15	,	,	PUNCT
ejpam-4127	173	16	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	173	17	)	)	PUNCT
ejpam-4127	173	18	\	\	NOUN
ejpam-4127	173	19	s|	s|	VERB
ejpam-4127	173	20	−	−	PROPN
ejpam-4127	173	21	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	173	22	)	)	PUNCT
ejpam-4127	173	23	∩	∩	NOUN
ejpam-4127	173	24	s|	s|	NOUN
ejpam-4127	173	25	=	=	SYM
ejpam-4127	173	26	degg(a	degg(a	PROPN
ejpam-4127	173	27	)	)	PUNCT
ejpam-4127	174	1	+	+	CCONJ
ejpam-4127	174	2	|v	|v	X
ejpam-4127	174	3	(	(	PUNCT
ejpam-4127	174	4	h)|	h)|	NOUN
ejpam-4127	174	5	=	=	SYM
ejpam-4127	174	6	∆(g	∆(g	PROPN
ejpam-4127	174	7	)	)	PUNCT
ejpam-4127	174	8	+	+	CCONJ
ejpam-4127	174	9	|v	|v	PROPN
ejpam-4127	174	10	(	(	PUNCT
ejpam-4127	174	11	h)|	h)|	PROPN
ejpam-4127	174	12	j.	j.	PROPN
ejpam-4127	174	13	b.	b.	PROPN
ejpam-4127	174	14	palco	palco	PROPN
ejpam-4127	174	15	,	,	PUNCT
ejpam-4127	174	16	r.	r.	PROPN
ejpam-4127	174	17	n.	n.	PROPN
ejpam-4127	174	18	paluga	paluga	PROPN
ejpam-4127	174	19	,	,	PUNCT
ejpam-4127	174	20	g.	g.	PROPN
ejpam-4127	174	21	a.	a.	PROPN
ejpam-4127	174	22	malacas	malacas	PROPN
ejpam-4127	174	23	/	/	SYM
ejpam-4127	174	24	eur	eur	PROPN
ejpam-4127	174	25	.	.	PUNCT
ejpam-4127	175	1	j.	j.	PROPN
ejpam-4127	175	2	pure	pure	PROPN
ejpam-4127	175	3	appl	appl	PROPN
ejpam-4127	175	4	.	.	PROPN
ejpam-4127	175	5	math	math	PROPN
ejpam-4127	175	6	,	,	PUNCT
ejpam-4127	175	7	14	14	NUM
ejpam-4127	175	8	(	(	PUNCT
ejpam-4127	175	9	4	4	NUM
ejpam-4127	175	10	)	)	PUNCT
ejpam-4127	175	11	(	(	PUNCT
ejpam-4127	175	12	2021	2021	NUM
ejpam-4127	175	13	)	)	PUNCT
ejpam-4127	175	14	,	,	PUNCT
ejpam-4127	175	15	1324	1324	NUM
ejpam-4127	175	16	-	-	SYM
ejpam-4127	175	17	1336	1336	NUM
ejpam-4127	175	18	1332	1332	NUM
ejpam-4127	175	19	=	=	SYM
ejpam-4127	175	20	k	k	NOUN
ejpam-4127	175	21	,	,	PUNCT
ejpam-4127	175	22	thus	thus	ADV
ejpam-4127	175	23	,	,	PUNCT
ejpam-4127	175	24	degg(a	degg(a	PROPN
ejpam-4127	175	25	)	)	PUNCT
ejpam-4127	175	26	=	=	SYM
ejpam-4127	175	27	∆(g	∆(g	PROPN
ejpam-4127	175	28	)	)	PUNCT
ejpam-4127	175	29	∀	∀	NOUN
ejpam-4127	176	1	a	a	DET
ejpam-4127	176	2	∈	∈	NOUN
ejpam-4127	176	3	s.	s.	PROPN
ejpam-4127	176	4	hence	hence	ADV
ejpam-4127	176	5	,	,	PUNCT
ejpam-4127	176	6	δ(s	δ(s	PROPN
ejpam-4127	176	7	:	:	PUNCT
ejpam-4127	176	8	g	g	NOUN
ejpam-4127	176	9	)	)	PUNCT
ejpam-4127	176	10	=	=	SYM
ejpam-4127	176	11	∆(g	∆(g	PROPN
ejpam-4127	176	12	)	)	PUNCT
ejpam-4127	176	13	.	.	PUNCT
ejpam-4127	177	1	case	case	NOUN
ejpam-4127	177	2	3	3	NUM
ejpam-4127	177	3	:	:	PUNCT
ejpam-4127	177	4	s	s	VERB
ejpam-4127	177	5	⊆	⊆	NUM
ejpam-4127	177	6	v	v	NOUN
ejpam-4127	177	7	(	(	PUNCT
ejpam-4127	177	8	h	h	NOUN
ejpam-4127	177	9	)	)	PUNCT
ejpam-4127	177	10	.	.	PUNCT
ejpam-4127	178	1	since	since	SCONJ
ejpam-4127	178	2	s	s	PROPN
ejpam-4127	178	3	is	be	AUX
ejpam-4127	178	4	a	a	DET
ejpam-4127	178	5	k	k	ADJ
ejpam-4127	178	6	-	-	PUNCT
ejpam-4127	178	7	cost	cost	NOUN
ejpam-4127	178	8	effective	effective	ADJ
ejpam-4127	178	9	dominating	dominating	NOUN
ejpam-4127	178	10	set	set	VERB
ejpam-4127	178	11	in	in	ADP
ejpam-4127	178	12	g+h	g+h	PROPN
ejpam-4127	178	13	,	,	PUNCT
ejpam-4127	178	14	s	s	VERB
ejpam-4127	178	15	is	be	AUX
ejpam-4127	178	16	a	a	DET
ejpam-4127	178	17	dominating	dominating	NOUN
ejpam-4127	178	18	set	set	NOUN
ejpam-4127	178	19	in	in	ADP
ejpam-4127	178	20	h.	h.	PROPN
ejpam-4127	178	21	let	let	VERB
ejpam-4127	178	22	a	a	DET
ejpam-4127	178	23	∈	∈	NOUN
ejpam-4127	178	24	s	s	NOUN
ejpam-4127	178	25	and	and	CCONJ
ejpam-4127	178	26	rh(a	rh(a	NUM
ejpam-4127	178	27	)	)	PUNCT
ejpam-4127	178	28	=	=	SYM
ejpam-4127	178	29	∆(h)−	∆(h)−	NOUN
ejpam-4127	178	30	degh(a	degh(a	NOUN
ejpam-4127	178	31	)	)	PUNCT
ejpam-4127	178	32	,	,	PUNCT
ejpam-4127	178	33	and	and	CCONJ
ejpam-4127	178	34	t	t	X
ejpam-4127	178	35	=	=	SYM
ejpam-4127	178	36	∆(h	∆(h	NOUN
ejpam-4127	178	37	)	)	PUNCT
ejpam-4127	178	38	+	+	CCONJ
ejpam-4127	178	39	|v	|v	X
ejpam-4127	178	40	(	(	PUNCT
ejpam-4127	178	41	g)|	g)|	PROPN
ejpam-4127	178	42	−∆(g)−	−∆(g)−	PUNCT
ejpam-4127	178	43	|v	|v	X
ejpam-4127	178	44	(	(	PUNCT
ejpam-4127	178	45	h)|	h)|	PROPN
ejpam-4127	178	46	.	.	PUNCT
ejpam-4127	179	1	then	then	ADV
ejpam-4127	179	2	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	179	3	)	)	PUNCT
ejpam-4127	179	4	\	\	PROPN
ejpam-4127	179	5	s|	s|	VERB
ejpam-4127	179	6	−	−	PROPN
ejpam-4127	179	7	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	179	8	)	)	PUNCT
ejpam-4127	180	1	∩	∩	NOUN
ejpam-4127	180	2	s|	s|	NOUN
ejpam-4127	180	3	=	=	PUNCT
ejpam-4127	180	4	degh(a)−	degh(a)−	NOUN
ejpam-4127	180	5	|nh(a	|nh(a	NUM
ejpam-4127	180	6	)	)	PUNCT
ejpam-4127	180	7	∩	∩	NOUN
ejpam-4127	180	8	s|+	s|+	PROPN
ejpam-4127	180	9	|v	|v	NOUN
ejpam-4127	180	10	(	(	PUNCT
ejpam-4127	180	11	g)|	g)|	NOUN
ejpam-4127	180	12	−	−	PROPN
ejpam-4127	180	13	|nh(a	|nh(a	NUM
ejpam-4127	180	14	)	)	PUNCT
ejpam-4127	180	15	∩	∩	NOUN
ejpam-4127	180	16	s|	s|	NOUN
ejpam-4127	180	17	=	=	SYM
ejpam-4127	180	18	∆(h)−	∆(h)−	NOUN
ejpam-4127	180	19	rh(a)−	rh(a)−	PROPN
ejpam-4127	180	20	2|nh(a	2|nh(a	PROPN
ejpam-4127	180	21	)	)	PUNCT
ejpam-4127	180	22	∩	∩	NOUN
ejpam-4127	180	23	s|+	s|+	PROPN
ejpam-4127	180	24	|v	|v	NOUN
ejpam-4127	180	25	(	(	PUNCT
ejpam-4127	180	26	g)|	g)|	NOUN
ejpam-4127	180	27	=	=	SYM
ejpam-4127	180	28	∆(g	∆(g	PROPN
ejpam-4127	180	29	)	)	PUNCT
ejpam-4127	181	1	+	+	CCONJ
ejpam-4127	181	2	|v	|v	X
ejpam-4127	181	3	(	(	PUNCT
ejpam-4127	181	4	h)|+	h)|+	NOUN
ejpam-4127	181	5	t−	t−	ADP
ejpam-4127	181	6	rh(a)−	rh(a)−	PROPN
ejpam-4127	181	7	2|nh(a	2|nh(a	PROPN
ejpam-4127	181	8	)	)	PUNCT
ejpam-4127	181	9	∩	∩	NOUN
ejpam-4127	181	10	s|	s|	NOUN
ejpam-4127	181	11	=	=	SYM
ejpam-4127	181	12	∆(g	∆(g	NOUN
ejpam-4127	181	13	)	)	PUNCT
ejpam-4127	182	1	+	+	CCONJ
ejpam-4127	182	2	|v	|v	PROPN
ejpam-4127	182	3	(	(	PUNCT
ejpam-4127	182	4	h)|	h)|	NOUN
ejpam-4127	182	5	−	−	PROPN
ejpam-4127	182	6	(	(	PUNCT
ejpam-4127	182	7	rh(a	rh(a	NOUN
ejpam-4127	182	8	)	)	PUNCT
ejpam-4127	182	9	+	+	CCONJ
ejpam-4127	182	10	2|nh(a	2|nh(a	NUM
ejpam-4127	182	11	)	)	PUNCT
ejpam-4127	182	12	∩	∩	NOUN
ejpam-4127	182	13	s|	s|	VERB
ejpam-4127	182	14	−	−	PROPN
ejpam-4127	182	15	t	t	PROPN
ejpam-4127	182	16	)	)	PUNCT
ejpam-4127	182	17	.	.	PUNCT
ejpam-4127	183	1	thus	thus	ADV
ejpam-4127	183	2	,	,	PUNCT
ejpam-4127	183	3	rh(a	rh(a	PUNCT
ejpam-4127	183	4	)	)	PUNCT
ejpam-4127	184	1	+	+	PUNCT
ejpam-4127	184	2	2|nh(a	2|nh(a	NUM
ejpam-4127	184	3	)	)	PUNCT
ejpam-4127	184	4	∩	∩	NOUN
ejpam-4127	184	5	s|	s|	VERB
ejpam-4127	184	6	−	−	PROPN
ejpam-4127	184	7	t	t	NOUN
ejpam-4127	184	8	=	=	SYM
ejpam-4127	184	9	0	0	NUM
ejpam-4127	184	10	.	.	PUNCT
ejpam-4127	185	1	hence	hence	ADV
ejpam-4127	185	2	,	,	PUNCT
ejpam-4127	185	3	degh(a	degh(a	NOUN
ejpam-4127	185	4	)	)	PUNCT
ejpam-4127	186	1	+	+	CCONJ
ejpam-4127	186	2	|v	|v	X
ejpam-4127	186	3	(	(	PUNCT
ejpam-4127	186	4	g)|	g)|	PROPN
ejpam-4127	186	5	=	=	PUNCT
ejpam-4127	186	6	2|nh(a	2|nh(a	PROPN
ejpam-4127	186	7	)	)	PUNCT
ejpam-4127	186	8	∩	∩	NOUN
ejpam-4127	186	9	s|+∆(g	s|+∆(g	PROPN
ejpam-4127	186	10	)	)	PUNCT
ejpam-4127	187	1	+	+	CCONJ
ejpam-4127	187	2	|v	|v	PROPN
ejpam-4127	187	3	(	(	PUNCT
ejpam-4127	187	4	h)|	h)|	NOUN
ejpam-4127	187	5	.	.	PUNCT
ejpam-4127	187	6	conversely	conversely	ADV
ejpam-4127	187	7	,	,	PUNCT
ejpam-4127	187	8	suppose	suppose	VERB
ejpam-4127	187	9	that	that	SCONJ
ejpam-4127	187	10	s	s	VERB
ejpam-4127	187	11	satisfies	satisfie	NOUN
ejpam-4127	187	12	property	property	NOUN
ejpam-4127	187	13	(	(	PUNCT
ejpam-4127	187	14	i	i	NOUN
ejpam-4127	187	15	)	)	PUNCT
ejpam-4127	187	16	.	.	PUNCT
ejpam-4127	188	1	then	then	ADV
ejpam-4127	188	2	s	s	VERB
ejpam-4127	188	3	is	be	AUX
ejpam-4127	188	4	a	a	DET
ejpam-4127	188	5	dominating	dominating	NOUN
ejpam-4127	188	6	set	set	VERB
ejpam-4127	188	7	in	in	ADP
ejpam-4127	188	8	g+h	g+h	PROPN
ejpam-4127	188	9	.	.	PUNCT
ejpam-4127	189	1	let	let	VERB
ejpam-4127	189	2	a	a	DET
ejpam-4127	189	3	∈	∈	PROPN
ejpam-4127	189	4	s.	s.	PROPN
ejpam-4127	189	5	then	then	ADV
ejpam-4127	189	6	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	189	7	)	)	PUNCT
ejpam-4127	189	8	\	\	PROPN
ejpam-4127	189	9	s|	s|	VERB
ejpam-4127	189	10	−	−	PROPN
ejpam-4127	189	11	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	189	12	)	)	PUNCT
ejpam-4127	189	13	∩	∩	NOUN
ejpam-4127	189	14	s|	s|	NOUN
ejpam-4127	189	15	=	=	SYM
ejpam-4127	189	16	degg(a	degg(a	PROPN
ejpam-4127	189	17	)	)	PUNCT
ejpam-4127	190	1	+	+	CCONJ
ejpam-4127	190	2	|v	|v	X
ejpam-4127	190	3	(	(	PUNCT
ejpam-4127	190	4	h)|	h)|	NOUN
ejpam-4127	190	5	=	=	SYM
ejpam-4127	190	6	δ(s	δ(s	PROPN
ejpam-4127	190	7	:	:	PUNCT
ejpam-4127	190	8	g	g	X
ejpam-4127	190	9	)	)	PUNCT
ejpam-4127	191	1	+	+	CCONJ
ejpam-4127	191	2	|v	|v	X
ejpam-4127	191	3	(	(	PUNCT
ejpam-4127	191	4	h)|	h)|	NOUN
ejpam-4127	191	5	=	=	SYM
ejpam-4127	191	6	∆(g	∆(g	PROPN
ejpam-4127	191	7	)	)	PUNCT
ejpam-4127	191	8	+	+	CCONJ
ejpam-4127	191	9	|v	|v	PROPN
ejpam-4127	191	10	(	(	PUNCT
ejpam-4127	191	11	h)|	h)|	NOUN
ejpam-4127	191	12	=	=	PUNCT
ejpam-4127	191	13	k.	k.	PROPN
ejpam-4127	191	14	hence	hence	ADV
ejpam-4127	191	15	,	,	PUNCT
ejpam-4127	191	16	s	s	VERB
ejpam-4127	191	17	is	be	AUX
ejpam-4127	191	18	a	a	DET
ejpam-4127	191	19	k	k	ADJ
ejpam-4127	191	20	-	-	PUNCT
ejpam-4127	191	21	cost	cost	NOUN
ejpam-4127	191	22	effective	effective	ADJ
ejpam-4127	191	23	dominating	dominating	NOUN
ejpam-4127	191	24	set	set	VERB
ejpam-4127	191	25	in	in	ADP
ejpam-4127	191	26	g+h	g+h	PROPN
ejpam-4127	191	27	.	.	PUNCT
ejpam-4127	192	1	suppose	suppose	VERB
ejpam-4127	192	2	that	that	SCONJ
ejpam-4127	192	3	s	s	VERB
ejpam-4127	192	4	satisfies	satisfie	NOUN
ejpam-4127	192	5	property	property	NOUN
ejpam-4127	192	6	(	(	PUNCT
ejpam-4127	192	7	ii	ii	NOUN
ejpam-4127	192	8	)	)	PUNCT
ejpam-4127	192	9	.	.	PUNCT
ejpam-4127	193	1	then	then	ADV
ejpam-4127	193	2	s	s	VERB
ejpam-4127	193	3	is	be	AUX
ejpam-4127	193	4	a	a	DET
ejpam-4127	193	5	dominating	dominating	NOUN
ejpam-4127	193	6	set	set	VERB
ejpam-4127	193	7	in	in	ADP
ejpam-4127	193	8	g+h	g+h	PROPN
ejpam-4127	193	9	.	.	PUNCT
ejpam-4127	194	1	now	now	ADV
ejpam-4127	194	2	,	,	PUNCT
ejpam-4127	194	3	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	194	4	)	)	PUNCT
ejpam-4127	194	5	\	\	NOUN
ejpam-4127	194	6	s|	s|	VERB
ejpam-4127	194	7	−	−	PROPN
ejpam-4127	194	8	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	194	9	)	)	PUNCT
ejpam-4127	194	10	∩	∩	NOUN
ejpam-4127	194	11	s|	s|	NOUN
ejpam-4127	194	12	=	=	PUNCT
ejpam-4127	194	13	degh(a)−	degh(a)−	NOUN
ejpam-4127	194	14	|nh(a	|nh(a	NUM
ejpam-4127	194	15	)	)	PUNCT
ejpam-4127	194	16	∩	∩	NOUN
ejpam-4127	194	17	s|+	s|+	PROPN
ejpam-4127	194	18	|v	|v	NOUN
ejpam-4127	194	19	(	(	PUNCT
ejpam-4127	194	20	g)|	g)|	NOUN
ejpam-4127	194	21	−	−	PROPN
ejpam-4127	194	22	|nh(a	|nh(a	NUM
ejpam-4127	194	23	)	)	PUNCT
ejpam-4127	194	24	∩	∩	NOUN
ejpam-4127	194	25	s|	s|	NOUN
ejpam-4127	194	26	=	=	SYM
ejpam-4127	194	27	∆(h)−	∆(h)−	NOUN
ejpam-4127	194	28	rh(a)−	rh(a)−	PROPN
ejpam-4127	194	29	2|nh(a	2|nh(a	PROPN
ejpam-4127	194	30	)	)	PUNCT
ejpam-4127	194	31	∩	∩	NOUN
ejpam-4127	194	32	s|+	s|+	PROPN
ejpam-4127	194	33	|v	|v	NOUN
ejpam-4127	194	34	(	(	PUNCT
ejpam-4127	194	35	g)|	g)|	NOUN
ejpam-4127	194	36	=	=	SYM
ejpam-4127	194	37	∆(g	∆(g	PROPN
ejpam-4127	194	38	)	)	PUNCT
ejpam-4127	195	1	+	+	CCONJ
ejpam-4127	195	2	|v	|v	X
ejpam-4127	195	3	(	(	PUNCT
ejpam-4127	195	4	h)|+	h)|+	NOUN
ejpam-4127	195	5	t−	t−	ADP
ejpam-4127	195	6	rh(a)−	rh(a)−	PROPN
ejpam-4127	195	7	2|nh(a	2|nh(a	PROPN
ejpam-4127	195	8	)	)	PUNCT
ejpam-4127	195	9	∩	∩	NOUN
ejpam-4127	195	10	s|	s|	NOUN
ejpam-4127	195	11	=	=	SYM
ejpam-4127	195	12	∆(g	∆(g	NOUN
ejpam-4127	195	13	)	)	PUNCT
ejpam-4127	195	14	+	+	CCONJ
ejpam-4127	195	15	|v	|v	X
ejpam-4127	195	16	(	(	PUNCT
ejpam-4127	195	17	h)|+∆(h	h)|+∆(h	NOUN
ejpam-4127	195	18	)	)	PUNCT
ejpam-4127	196	1	+	+	CCONJ
ejpam-4127	196	2	|v	|v	X
ejpam-4127	196	3	(	(	PUNCT
ejpam-4127	196	4	g)|	g)|	PROPN
ejpam-4127	196	5	−∆(g	−∆(g	PROPN
ejpam-4127	196	6	)	)	PUNCT
ejpam-4127	196	7	−	−	PROPN
ejpam-4127	196	8	|v	|v	PROPN
ejpam-4127	196	9	(	(	PUNCT
ejpam-4127	196	10	h)|	h)|	NOUN
ejpam-4127	196	11	−∆(h	−∆(h	NOUN
ejpam-4127	196	12	)	)	PUNCT
ejpam-4127	196	13	+	+	CCONJ
ejpam-4127	196	14	degh(a)−	degh(a)−	PROPN
ejpam-4127	196	15	2|nh(a	2|nh(a	NUM
ejpam-4127	196	16	)	)	PUNCT
ejpam-4127	196	17	∩	∩	NOUN
ejpam-4127	196	18	s|	s|	NOUN
ejpam-4127	196	19	=	=	SYM
ejpam-4127	196	20	|v	|v	X
ejpam-4127	196	21	(	(	PUNCT
ejpam-4127	196	22	g)|+	g)|+	NOUN
ejpam-4127	196	23	degh(a)−	degh(a)−	PROPN
ejpam-4127	196	24	2|nh(a	2|nh(a	NUM
ejpam-4127	196	25	)	)	PUNCT
ejpam-4127	196	26	∩	∩	NOUN
ejpam-4127	196	27	s|	s|	NOUN
ejpam-4127	196	28	=	=	SYM
ejpam-4127	196	29	∆(g	∆(g	NOUN
ejpam-4127	196	30	)	)	PUNCT
ejpam-4127	197	1	+	+	CCONJ
ejpam-4127	197	2	|v	|v	PROPN
ejpam-4127	197	3	(	(	PUNCT
ejpam-4127	197	4	h)|	h)|	PROPN
ejpam-4127	197	5	=	=	PROPN
ejpam-4127	197	6	k.	k.	PROPN
ejpam-4127	198	1	thus	thus	ADV
ejpam-4127	198	2	,	,	PUNCT
ejpam-4127	198	3	s	s	VERB
ejpam-4127	198	4	is	be	AUX
ejpam-4127	198	5	a	a	DET
ejpam-4127	198	6	k	k	ADJ
ejpam-4127	198	7	-	-	PUNCT
ejpam-4127	198	8	cost	cost	NOUN
ejpam-4127	198	9	effective	effective	ADJ
ejpam-4127	198	10	dominating	dominating	NOUN
ejpam-4127	198	11	set	set	VERB
ejpam-4127	198	12	in	in	ADP
ejpam-4127	198	13	g+h	g+h	PROPN
ejpam-4127	198	14	.	.	PUNCT
ejpam-4127	199	1	therefore	therefore	ADV
ejpam-4127	199	2	,	,	PUNCT
ejpam-4127	199	3	s	s	VERB
ejpam-4127	199	4	is	be	AUX
ejpam-4127	199	5	a	a	DET
ejpam-4127	199	6	k	k	ADJ
ejpam-4127	199	7	-	-	PUNCT
ejpam-4127	199	8	cost	cost	NOUN
ejpam-4127	199	9	effective	effective	ADJ
ejpam-4127	199	10	dominating	dominating	NOUN
ejpam-4127	199	11	set	set	VERB
ejpam-4127	199	12	in	in	ADP
ejpam-4127	199	13	g+h	g+h	PROPN
ejpam-4127	199	14	.	.	PUNCT
ejpam-4127	200	1	theorem	theorem	VERB
ejpam-4127	200	2	6	6	NUM
ejpam-4127	200	3	.	.	PUNCT
ejpam-4127	201	1	let	let	VERB
ejpam-4127	201	2	g	g	NOUN
ejpam-4127	201	3	and	and	CCONJ
ejpam-4127	201	4	h	h	NOUN
ejpam-4127	201	5	be	be	AUX
ejpam-4127	201	6	connected	connect	VERB
ejpam-4127	201	7	graphs	graph	NOUN
ejpam-4127	201	8	such	such	ADJ
ejpam-4127	201	9	that	that	DET
ejpam-4127	201	10	min{γ(g	min{γ(g	PROPN
ejpam-4127	201	11	)	)	PUNCT
ejpam-4127	201	12	,	,	PUNCT
ejpam-4127	201	13	γ(h	γ(h	NOUN
ejpam-4127	201	14	)	)	PUNCT
ejpam-4127	201	15	}	}	PUNCT
ejpam-4127	201	16	≥	≥	NOUN
ejpam-4127	201	17	2	2	NUM
ejpam-4127	201	18	and	and	CCONJ
ejpam-4127	201	19	∆(g	∆(g	NOUN
ejpam-4127	201	20	)	)	PUNCT
ejpam-4127	202	1	+	+	CCONJ
ejpam-4127	202	2	|v	|v	X
ejpam-4127	202	3	(	(	PUNCT
ejpam-4127	202	4	h)|+	h)|+	ADJ
ejpam-4127	202	5	1	1	NUM
ejpam-4127	202	6	≤	≤	NUM
ejpam-4127	202	7	k	k	X
ejpam-4127	202	8	≤	≤	PROPN
ejpam-4127	202	9	∆(h	∆(h	NOUN
ejpam-4127	202	10	)	)	PUNCT
ejpam-4127	202	11	+	+	CCONJ
ejpam-4127	202	12	|v	|v	PROPN
ejpam-4127	202	13	(	(	PUNCT
ejpam-4127	202	14	g)|	g)|	NOUN
ejpam-4127	202	15	.	.	PUNCT
ejpam-4127	203	1	then	then	ADV
ejpam-4127	203	2	s	s	VERB
ejpam-4127	203	3	is	be	AUX
ejpam-4127	203	4	a	a	DET
ejpam-4127	203	5	k	k	ADJ
ejpam-4127	203	6	-	-	PUNCT
ejpam-4127	203	7	cost	cost	NOUN
ejpam-4127	203	8	effective	effective	ADJ
ejpam-4127	203	9	dominating	dominating	NOUN
ejpam-4127	203	10	set	set	VERB
ejpam-4127	203	11	in	in	ADP
ejpam-4127	203	12	g+h	g+h	PROPN
ejpam-4127	204	1	if	if	SCONJ
ejpam-4127	204	2	and	and	CCONJ
ejpam-4127	204	3	only	only	ADV
ejpam-4127	204	4	if	if	SCONJ
ejpam-4127	204	5	s	s	NOUN
ejpam-4127	204	6	is	be	AUX
ejpam-4127	204	7	a	a	DET
ejpam-4127	204	8	dominating	dominating	NOUN
ejpam-4127	204	9	set	set	VERB
ejpam-4127	204	10	in	in	ADP
ejpam-4127	204	11	h	h	NOUN
ejpam-4127	204	12	such	such	ADJ
ejpam-4127	204	13	that	that	SCONJ
ejpam-4127	204	14	t−	t−	PROPN
ejpam-4127	204	15	rh(a)−	rh(a)−	PROPN
ejpam-4127	204	16	2|nh(a	2|nh(a	PROPN
ejpam-4127	204	17	)	)	PUNCT
ejpam-4127	204	18	∩	∩	NOUN
ejpam-4127	204	19	s|	s|	VERB
ejpam-4127	204	20	≥	≥	NUM
ejpam-4127	204	21	p	p	NOUN
ejpam-4127	204	22	,	,	PUNCT
ejpam-4127	204	23	where	where	SCONJ
ejpam-4127	204	24	1	1	NUM
ejpam-4127	204	25	≤	≤	NOUN
ejpam-4127	204	26	p	p	ADJ
ejpam-4127	204	27	≤	≤	PROPN
ejpam-4127	204	28	t	t	NOUN
ejpam-4127	204	29	and	and	CCONJ
ejpam-4127	204	30	t	t	PROPN
ejpam-4127	204	31	=	=	PUNCT
ejpam-4127	204	32	∆(h	∆(h	NOUN
ejpam-4127	204	33	)	)	PUNCT
ejpam-4127	205	1	+	+	CCONJ
ejpam-4127	205	2	|v	|v	X
ejpam-4127	205	3	(	(	PUNCT
ejpam-4127	205	4	g)|	g)|	PROPN
ejpam-4127	205	5	−∆(g)−	−∆(g)−	PUNCT
ejpam-4127	205	6	|v	|v	X
ejpam-4127	205	7	(	(	PUNCT
ejpam-4127	205	8	h)|	h)|	NOUN
ejpam-4127	205	9	,	,	PUNCT
ejpam-4127	205	10	and	and	CCONJ
ejpam-4127	205	11	rh(a	rh(a	NUM
ejpam-4127	205	12	)	)	PUNCT
ejpam-4127	205	13	=	=	SYM
ejpam-4127	205	14	∆(h)−	∆(h)−	NOUN
ejpam-4127	205	15	degh(a	degh(a	NOUN
ejpam-4127	205	16	)	)	PUNCT
ejpam-4127	205	17	and	and	CCONJ
ejpam-4127	205	18	degh(a	degh(a	NOUN
ejpam-4127	205	19	)	)	PUNCT
ejpam-4127	206	1	+	+	CCONJ
ejpam-4127	206	2	|v	|v	X
ejpam-4127	206	3	(	(	PUNCT
ejpam-4127	206	4	g)|	g)|	PROPN
ejpam-4127	206	5	≥	≥	PROPN
ejpam-4127	206	6	p+	p+	PROPN
ejpam-4127	206	7	2|nh(a	2|nh(a	NUM
ejpam-4127	206	8	)	)	PUNCT
ejpam-4127	206	9	∩	∩	ADJ
ejpam-4127	206	10	s|+∆(g	s|+∆(g	PROPN
ejpam-4127	206	11	)	)	PUNCT
ejpam-4127	207	1	+	+	CCONJ
ejpam-4127	207	2	|v	|v	PROPN
ejpam-4127	207	3	(	(	PUNCT
ejpam-4127	207	4	h)|	h)|	PROPN
ejpam-4127	207	5	.	.	PUNCT
ejpam-4127	208	1	j.	j.	PROPN
ejpam-4127	208	2	b.	b.	PROPN
ejpam-4127	208	3	palco	palco	PROPN
ejpam-4127	208	4	,	,	PUNCT
ejpam-4127	208	5	r.	r.	PROPN
ejpam-4127	208	6	n.	n.	PROPN
ejpam-4127	208	7	paluga	paluga	PROPN
ejpam-4127	208	8	,	,	PUNCT
ejpam-4127	208	9	g.	g.	PROPN
ejpam-4127	208	10	a.	a.	PROPN
ejpam-4127	208	11	malacas	malacas	PROPN
ejpam-4127	208	12	/	/	SYM
ejpam-4127	208	13	eur	eur	PROPN
ejpam-4127	208	14	.	.	PUNCT
ejpam-4127	209	1	j.	j.	PROPN
ejpam-4127	209	2	pure	pure	PROPN
ejpam-4127	209	3	appl	appl	PROPN
ejpam-4127	209	4	.	.	PROPN
ejpam-4127	209	5	math	math	PROPN
ejpam-4127	209	6	,	,	PUNCT
ejpam-4127	209	7	14	14	NUM
ejpam-4127	209	8	(	(	PUNCT
ejpam-4127	209	9	4	4	NUM
ejpam-4127	209	10	)	)	PUNCT
ejpam-4127	209	11	(	(	PUNCT
ejpam-4127	209	12	2021	2021	NUM
ejpam-4127	209	13	)	)	PUNCT
ejpam-4127	209	14	,	,	PUNCT
ejpam-4127	209	15	1324	1324	NUM
ejpam-4127	209	16	-	-	SYM
ejpam-4127	209	17	1336	1336	NUM
ejpam-4127	209	18	1333	1333	NUM
ejpam-4127	209	19	proof	proof	NOUN
ejpam-4127	209	20	:	:	PUNCT
ejpam-4127	209	21	suppose	suppose	VERB
ejpam-4127	209	22	that	that	SCONJ
ejpam-4127	209	23	s	s	VERB
ejpam-4127	209	24	is	be	AUX
ejpam-4127	209	25	a	a	DET
ejpam-4127	209	26	k	k	ADJ
ejpam-4127	209	27	-	-	PUNCT
ejpam-4127	209	28	cost	cost	NOUN
ejpam-4127	209	29	effective	effective	ADJ
ejpam-4127	209	30	dominating	dominating	NOUN
ejpam-4127	209	31	set	set	VERB
ejpam-4127	209	32	in	in	ADP
ejpam-4127	209	33	g	g	PROPN
ejpam-4127	209	34	+	+	CCONJ
ejpam-4127	209	35	h.	h.	PROPN
ejpam-4127	209	36	consider	consider	VERB
ejpam-4127	209	37	the	the	DET
ejpam-4127	209	38	following	follow	VERB
ejpam-4127	209	39	cases	case	NOUN
ejpam-4127	209	40	:	:	PUNCT
ejpam-4127	209	41	case	case	NOUN
ejpam-4127	209	42	1	1	NUM
ejpam-4127	209	43	:	:	SYM
ejpam-4127	209	44	v	v	NOUN
ejpam-4127	209	45	(	(	PUNCT
ejpam-4127	209	46	g	g	NOUN
ejpam-4127	209	47	)	)	PUNCT
ejpam-4127	209	48	∩	∩	PROPN
ejpam-4127	209	49	s	s	PART
ejpam-4127	209	50	̸=	̸=	PROPN
ejpam-4127	209	51	∅	∅	NOUN
ejpam-4127	209	52	and	and	CCONJ
ejpam-4127	209	53	v	v	NOUN
ejpam-4127	209	54	(	(	PUNCT
ejpam-4127	209	55	h	h	NOUN
ejpam-4127	209	56	)	)	PUNCT
ejpam-4127	209	57	∩	∩	NOUN
ejpam-4127	209	58	s	s	PART
ejpam-4127	209	59	̸=	̸=	PROPN
ejpam-4127	209	60	∅.	∅.	ADV
ejpam-4127	209	61	let	let	VERB
ejpam-4127	209	62	a	a	DET
ejpam-4127	209	63	∈	∈	PROPN
ejpam-4127	209	64	v	v	NOUN
ejpam-4127	209	65	(	(	PUNCT
ejpam-4127	209	66	g	g	NOUN
ejpam-4127	209	67	)	)	PUNCT
ejpam-4127	209	68	∩	∩	PROPN
ejpam-4127	209	69	s.	s.	PROPN
ejpam-4127	209	70	then	then	ADV
ejpam-4127	209	71	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	209	72	)	)	PUNCT
ejpam-4127	209	73	\	\	PROPN
ejpam-4127	209	74	s|	s|	VERB
ejpam-4127	209	75	−	−	PROPN
ejpam-4127	209	76	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	209	77	)	)	PUNCT
ejpam-4127	209	78	∩	∩	NOUN
ejpam-4127	209	79	s|	s|	VERB
ejpam-4127	209	80	≤	≤	NUM
ejpam-4127	209	81	∆(g)−	∆(g)−	NOUN
ejpam-4127	209	82	1	1	NUM
ejpam-4127	209	83	+	+	CCONJ
ejpam-4127	209	84	|v	|v	X
ejpam-4127	209	85	(	(	PUNCT
ejpam-4127	209	86	h)|	h)|	NOUN
ejpam-4127	209	87	−	−	PROPN
ejpam-4127	209	88	1	1	NUM
ejpam-4127	209	89	<	<	X
ejpam-4127	209	90	∆(g	∆(g	PROPN
ejpam-4127	209	91	)	)	PUNCT
ejpam-4127	209	92	+	+	CCONJ
ejpam-4127	209	93	|v	|v	X
ejpam-4127	209	94	(	(	PUNCT
ejpam-4127	209	95	h)|+	h)|+	ADJ
ejpam-4127	209	96	1	1	NUM
ejpam-4127	209	97	≤	≤	NUM
ejpam-4127	209	98	k	k	NOUN
ejpam-4127	209	99	,	,	PUNCT
ejpam-4127	209	100	a	a	DET
ejpam-4127	209	101	contradiction	contradiction	NOUN
ejpam-4127	209	102	.	.	PUNCT
ejpam-4127	210	1	thus	thus	ADV
ejpam-4127	210	2	,	,	PUNCT
ejpam-4127	210	3	in	in	ADP
ejpam-4127	210	4	this	this	DET
ejpam-4127	210	5	case	case	NOUN
ejpam-4127	210	6	is	be	AUX
ejpam-4127	210	7	not	not	PART
ejpam-4127	210	8	possible	possible	ADJ
ejpam-4127	210	9	.	.	PUNCT
ejpam-4127	211	1	case	case	NOUN
ejpam-4127	211	2	2	2	NUM
ejpam-4127	211	3	:	:	PUNCT
ejpam-4127	211	4	s	s	VERB
ejpam-4127	211	5	⊆	⊆	NUM
ejpam-4127	211	6	v	v	NOUN
ejpam-4127	211	7	(	(	PUNCT
ejpam-4127	211	8	g	g	NOUN
ejpam-4127	211	9	)	)	PUNCT
ejpam-4127	211	10	.	.	PUNCT
ejpam-4127	212	1	suppose	suppose	VERB
ejpam-4127	212	2	s	s	NOUN
ejpam-4127	212	3	is	be	AUX
ejpam-4127	212	4	not	not	PART
ejpam-4127	212	5	an	an	DET
ejpam-4127	212	6	independent	independent	ADJ
ejpam-4127	212	7	dominating	dominating	NOUN
ejpam-4127	212	8	set	set	NOUN
ejpam-4127	212	9	g.	g.	PROPN
ejpam-4127	212	10	let	let	VERB
ejpam-4127	212	11	a	a	DET
ejpam-4127	212	12	∈	∈	NOUN
ejpam-4127	212	13	s.	s.	PROPN
ejpam-4127	212	14	then	then	ADV
ejpam-4127	212	15	there	there	PRON
ejpam-4127	212	16	exists	exist	VERB
ejpam-4127	212	17	a	a	DET
ejpam-4127	212	18	′	′	NUM
ejpam-4127	212	19	∈	∈	NOUN
ejpam-4127	212	20	s	s	VERB
ejpam-4127	212	21	such	such	ADJ
ejpam-4127	212	22	that	that	SCONJ
ejpam-4127	212	23	dg(a	dg(a	PROPN
ejpam-4127	212	24	,	,	PUNCT
ejpam-4127	212	25	a	a	DET
ejpam-4127	212	26	′	′	NOUN
ejpam-4127	212	27	)	)	PUNCT
ejpam-4127	213	1	=	=	SYM
ejpam-4127	213	2	1	1	X
ejpam-4127	213	3	.	.	PUNCT
ejpam-4127	213	4	now	now	ADV
ejpam-4127	213	5	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	213	6	)	)	PUNCT
ejpam-4127	213	7	\	\	NOUN
ejpam-4127	213	8	s|	s|	VERB
ejpam-4127	213	9	−	−	PROPN
ejpam-4127	213	10	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	213	11	)	)	PUNCT
ejpam-4127	213	12	∩	∩	NOUN
ejpam-4127	213	13	s|	s|	VERB
ejpam-4127	213	14	≤	≤	NUM
ejpam-4127	213	15	∆(g)−	∆(g)−	NOUN
ejpam-4127	213	16	1	1	NUM
ejpam-4127	213	17	+	+	CCONJ
ejpam-4127	213	18	|v	|v	X
ejpam-4127	213	19	(	(	PUNCT
ejpam-4127	213	20	h)|	h)|	NOUN
ejpam-4127	213	21	−	−	PROPN
ejpam-4127	213	22	1	1	NUM
ejpam-4127	213	23	<	<	X
ejpam-4127	213	24	∆(g	∆(g	PROPN
ejpam-4127	213	25	)	)	PUNCT
ejpam-4127	213	26	+	+	CCONJ
ejpam-4127	213	27	|v	|v	X
ejpam-4127	213	28	(	(	PUNCT
ejpam-4127	213	29	h)|+	h)|+	ADJ
ejpam-4127	213	30	1	1	NUM
ejpam-4127	213	31	≤	≤	NUM
ejpam-4127	213	32	k	k	NOUN
ejpam-4127	213	33	,	,	PUNCT
ejpam-4127	213	34	a	a	DET
ejpam-4127	213	35	contradiction	contradiction	NOUN
ejpam-4127	213	36	.	.	PUNCT
ejpam-4127	214	1	thus	thus	ADV
ejpam-4127	214	2	,	,	PUNCT
ejpam-4127	214	3	in	in	ADP
ejpam-4127	214	4	this	this	DET
ejpam-4127	214	5	case	case	NOUN
ejpam-4127	214	6	s	s	VERB
ejpam-4127	214	7	is	be	AUX
ejpam-4127	214	8	an	an	DET
ejpam-4127	214	9	independent	independent	ADJ
ejpam-4127	214	10	dominating	dominating	NOUN
ejpam-4127	214	11	set	set	VERB
ejpam-4127	214	12	in	in	ADP
ejpam-4127	214	13	g.	g.	PROPN
ejpam-4127	214	14	thus	thus	ADV
ejpam-4127	214	15	,	,	PUNCT
ejpam-4127	214	16	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	214	17	)	)	PUNCT
ejpam-4127	214	18	\	\	NOUN
ejpam-4127	214	19	s|	s|	VERB
ejpam-4127	214	20	−	−	PROPN
ejpam-4127	214	21	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	214	22	)	)	PUNCT
ejpam-4127	214	23	∩	∩	NOUN
ejpam-4127	214	24	s|	s|	NOUN
ejpam-4127	214	25	=	=	SYM
ejpam-4127	214	26	degg(a	degg(a	PROPN
ejpam-4127	214	27	)	)	PUNCT
ejpam-4127	215	1	+	+	CCONJ
ejpam-4127	215	2	|v	|v	PROPN
ejpam-4127	215	3	(	(	PUNCT
ejpam-4127	215	4	h)|	h)|	NOUN
ejpam-4127	215	5	=	=	SYM
ejpam-4127	215	6	∆(g)−	∆(g)−	NOUN
ejpam-4127	215	7	rg(a	rg(a	X
ejpam-4127	215	8	)	)	PUNCT
ejpam-4127	216	1	+	+	CCONJ
ejpam-4127	216	2	|v	|v	X
ejpam-4127	216	3	(	(	PUNCT
ejpam-4127	216	4	h)|	h)|	NOUN
ejpam-4127	216	5	≤	≤	PROPN
ejpam-4127	216	6	∆(g	∆(g	PROPN
ejpam-4127	216	7	)	)	PUNCT
ejpam-4127	217	1	+	+	CCONJ
ejpam-4127	217	2	|v	|v	X
ejpam-4127	217	3	(	(	PUNCT
ejpam-4127	217	4	h)|+	h)|+	ADJ
ejpam-4127	217	5	1	1	NUM
ejpam-4127	217	6	≥	≥	NOUN
ejpam-4127	217	7	k	k	NOUN
ejpam-4127	217	8	,	,	PUNCT
ejpam-4127	217	9	a	a	DET
ejpam-4127	217	10	contradiction	contradiction	NOUN
ejpam-4127	217	11	.	.	PUNCT
ejpam-4127	218	1	thus	thus	ADV
ejpam-4127	218	2	,	,	PUNCT
ejpam-4127	218	3	in	in	ADP
ejpam-4127	218	4	this	this	DET
ejpam-4127	218	5	case	case	NOUN
ejpam-4127	218	6	is	be	AUX
ejpam-4127	218	7	not	not	PART
ejpam-4127	218	8	possible	possible	ADJ
ejpam-4127	218	9	.	.	PUNCT
ejpam-4127	219	1	case	case	NOUN
ejpam-4127	219	2	3	3	NUM
ejpam-4127	219	3	:	:	PUNCT
ejpam-4127	219	4	s	s	VERB
ejpam-4127	219	5	⊆	⊆	NUM
ejpam-4127	219	6	v	v	NOUN
ejpam-4127	219	7	(	(	PUNCT
ejpam-4127	219	8	h	h	NOUN
ejpam-4127	219	9	)	)	PUNCT
ejpam-4127	219	10	.	.	PUNCT
ejpam-4127	220	1	since	since	SCONJ
ejpam-4127	220	2	s	s	PROPN
ejpam-4127	220	3	is	be	AUX
ejpam-4127	220	4	a	a	DET
ejpam-4127	220	5	k	k	ADJ
ejpam-4127	220	6	-	-	PUNCT
ejpam-4127	220	7	cost	cost	NOUN
ejpam-4127	220	8	effective	effective	ADJ
ejpam-4127	220	9	dominating	dominating	NOUN
ejpam-4127	220	10	set	set	VERB
ejpam-4127	220	11	in	in	ADP
ejpam-4127	220	12	g+h	g+h	PROPN
ejpam-4127	220	13	,	,	PUNCT
ejpam-4127	220	14	s	s	VERB
ejpam-4127	220	15	is	be	AUX
ejpam-4127	220	16	a	a	DET
ejpam-4127	220	17	dominating	dominating	NOUN
ejpam-4127	220	18	set	set	NOUN
ejpam-4127	220	19	in	in	ADP
ejpam-4127	220	20	h.	h.	PROPN
ejpam-4127	220	21	let	let	VERB
ejpam-4127	220	22	a	a	DET
ejpam-4127	220	23	∈	∈	ADJ
ejpam-4127	220	24	s	s	NOUN
ejpam-4127	220	25	,	,	PUNCT
ejpam-4127	220	26	rh(a	rh(a	NOUN
ejpam-4127	220	27	)	)	PUNCT
ejpam-4127	220	28	=	=	SYM
ejpam-4127	220	29	∆(h)−degh(a	∆(h)−degh(a	NOUN
ejpam-4127	220	30	)	)	PUNCT
ejpam-4127	220	31	and	and	CCONJ
ejpam-4127	220	32	1	1	NUM
ejpam-4127	220	33	≤	≤	NOUN
ejpam-4127	220	34	p	p	PROPN
ejpam-4127	220	35	≤	≤	PROPN
ejpam-4127	220	36	t	t	PROPN
ejpam-4127	220	37	,	,	PUNCT
ejpam-4127	220	38	where	where	SCONJ
ejpam-4127	220	39	t	t	PROPN
ejpam-4127	220	40	=	=	SYM
ejpam-4127	220	41	∆(h)+|v	∆(h)+|v	PROPN
ejpam-4127	220	42	(	(	PUNCT
ejpam-4127	220	43	g)|−∆(g)−|v	g)|−∆(g)−|v	PROPN
ejpam-4127	220	44	(	(	PUNCT
ejpam-4127	220	45	h)|	h)|	PROPN
ejpam-4127	220	46	.	.	PUNCT
ejpam-4127	220	47	then	then	ADV
ejpam-4127	220	48	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	220	49	)	)	PUNCT
ejpam-4127	220	50	\	\	PROPN
ejpam-4127	220	51	s|	s|	VERB
ejpam-4127	220	52	−	−	PROPN
ejpam-4127	220	53	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	220	54	)	)	PUNCT
ejpam-4127	220	55	∩	∩	NOUN
ejpam-4127	220	56	s|	s|	NOUN
ejpam-4127	220	57	=	=	PUNCT
ejpam-4127	220	58	degh(a)−	degh(a)−	NOUN
ejpam-4127	220	59	|nh(a	|nh(a	NUM
ejpam-4127	220	60	)	)	PUNCT
ejpam-4127	220	61	∩	∩	NOUN
ejpam-4127	220	62	s|+	s|+	PROPN
ejpam-4127	220	63	|v	|v	NOUN
ejpam-4127	220	64	(	(	PUNCT
ejpam-4127	220	65	g)|	g)|	NOUN
ejpam-4127	220	66	−	−	PROPN
ejpam-4127	220	67	|nh(a	|nh(a	NUM
ejpam-4127	220	68	)	)	PUNCT
ejpam-4127	220	69	∩	∩	NOUN
ejpam-4127	220	70	s|	s|	NOUN
ejpam-4127	220	71	=	=	SYM
ejpam-4127	220	72	∆(h)−	∆(h)−	NOUN
ejpam-4127	220	73	rh(a)−	rh(a)−	PROPN
ejpam-4127	220	74	2|nh(a	2|nh(a	PROPN
ejpam-4127	220	75	)	)	PUNCT
ejpam-4127	220	76	∩	∩	NOUN
ejpam-4127	220	77	s|+	s|+	PROPN
ejpam-4127	220	78	|v	|v	NOUN
ejpam-4127	220	79	(	(	PUNCT
ejpam-4127	220	80	g)|	g)|	NOUN
ejpam-4127	220	81	=	=	SYM
ejpam-4127	220	82	∆(g	∆(g	PROPN
ejpam-4127	220	83	)	)	PUNCT
ejpam-4127	220	84	+	+	CCONJ
ejpam-4127	220	85	|v	|v	X
ejpam-4127	220	86	(	(	PUNCT
ejpam-4127	220	87	h)|+	h)|+	NOUN
ejpam-4127	220	88	t−	t−	ADP
ejpam-4127	220	89	rh(a)−	rh(a)−	PROPN
ejpam-4127	220	90	2|nh(a	2|nh(a	PROPN
ejpam-4127	220	91	)	)	PUNCT
ejpam-4127	220	92	∩	∩	NOUN
ejpam-4127	220	93	s|	s|	PROPN
ejpam-4127	220	94	.	.	PUNCT
ejpam-4127	221	1	thus	thus	ADV
ejpam-4127	221	2	,	,	PUNCT
ejpam-4127	221	3	t−rh(a)−2|nh(a)∩s|	t−rh(a)−2|nh(a)∩s|	ADJ
ejpam-4127	221	4	≥	≥	NOUN
ejpam-4127	221	5	p.	p.	NOUN
ejpam-4127	221	6	hence	hence	ADV
ejpam-4127	221	7	,	,	PUNCT
ejpam-4127	221	8	degh(a)+	degh(a)+	ADP
ejpam-4127	221	9	|v	|v	PROPN
ejpam-4127	221	10	(	(	PUNCT
ejpam-4127	221	11	g)|	g)|	X
ejpam-4127	221	12	≥	≥	NOUN
ejpam-4127	221	13	p+2|nh(a)∩s|+∆(g)+	p+2|nh(a)∩s|+∆(g)+	VERB
ejpam-4127	221	14	|v	|v	PROPN
ejpam-4127	221	15	(	(	PUNCT
ejpam-4127	221	16	h)|	h)|	NOUN
ejpam-4127	221	17	.	.	PUNCT
ejpam-4127	222	1	conversely	conversely	ADV
ejpam-4127	222	2	,	,	PUNCT
ejpam-4127	222	3	suppose	suppose	VERB
ejpam-4127	222	4	that	that	SCONJ
ejpam-4127	222	5	s	s	VERB
ejpam-4127	222	6	is	be	AUX
ejpam-4127	222	7	a	a	DET
ejpam-4127	222	8	dominating	dominating	NOUN
ejpam-4127	222	9	set	set	VERB
ejpam-4127	222	10	in	in	ADP
ejpam-4127	222	11	h	h	NOUN
ejpam-4127	222	12	such	such	ADJ
ejpam-4127	222	13	that	that	SCONJ
ejpam-4127	222	14	t−	t−	PROPN
ejpam-4127	222	15	rh(a)−	rh(a)−	PROPN
ejpam-4127	222	16	2|nh(a	2|nh(a	PROPN
ejpam-4127	222	17	)	)	PUNCT
ejpam-4127	222	18	∩	∩	NOUN
ejpam-4127	222	19	s|	s|	VERB
ejpam-4127	222	20	≥	≥	NUM
ejpam-4127	222	21	p	p	NOUN
ejpam-4127	222	22	,	,	PUNCT
ejpam-4127	222	23	where	where	SCONJ
ejpam-4127	222	24	1	1	NUM
ejpam-4127	222	25	≤	≤	NOUN
ejpam-4127	222	26	p	p	ADJ
ejpam-4127	222	27	≤	≤	PROPN
ejpam-4127	222	28	t	t	NOUN
ejpam-4127	222	29	and	and	CCONJ
ejpam-4127	222	30	t	t	PROPN
ejpam-4127	222	31	=	=	PUNCT
ejpam-4127	222	32	∆(h	∆(h	NOUN
ejpam-4127	222	33	)	)	PUNCT
ejpam-4127	222	34	+	+	CCONJ
ejpam-4127	222	35	|v	|v	X
ejpam-4127	222	36	(	(	PUNCT
ejpam-4127	222	37	g)|	g)|	PROPN
ejpam-4127	222	38	−∆(g)−	−∆(g)−	PUNCT
ejpam-4127	222	39	|v	|v	X
ejpam-4127	222	40	(	(	PUNCT
ejpam-4127	222	41	h)|	h)|	NOUN
ejpam-4127	222	42	,	,	PUNCT
ejpam-4127	222	43	and	and	CCONJ
ejpam-4127	222	44	rh(a	rh(a	NUM
ejpam-4127	222	45	)	)	PUNCT
ejpam-4127	222	46	=	=	SYM
ejpam-4127	222	47	∆(h)−degh(a	∆(h)−degh(a	PROPN
ejpam-4127	222	48	)	)	PUNCT
ejpam-4127	222	49	and	and	CCONJ
ejpam-4127	222	50	degh(a)+	degh(a)+	ADP
ejpam-4127	222	51	|v	|v	PROPN
ejpam-4127	222	52	(	(	PUNCT
ejpam-4127	222	53	g)|	g)|	X
ejpam-4127	222	54	≥	≥	NOUN
ejpam-4127	222	55	p+2|nh(a)∩s|+∆(g)+	p+2|nh(a)∩s|+∆(g)+	VERB
ejpam-4127	222	56	|v	|v	PROPN
ejpam-4127	222	57	(	(	PUNCT
ejpam-4127	222	58	h)|	h)|	PROPN
ejpam-4127	222	59	.	.	PUNCT
ejpam-4127	223	1	then	then	ADV
ejpam-4127	223	2	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	223	3	)	)	PUNCT
ejpam-4127	223	4	\	\	PROPN
ejpam-4127	223	5	s|	s|	VERB
ejpam-4127	223	6	−	−	PROPN
ejpam-4127	223	7	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	223	8	)	)	PUNCT
ejpam-4127	224	1	∩	∩	NOUN
ejpam-4127	224	2	s|	s|	NOUN
ejpam-4127	224	3	=	=	PUNCT
ejpam-4127	224	4	degh(a)−	degh(a)−	NOUN
ejpam-4127	224	5	|nh(a	|nh(a	NUM
ejpam-4127	224	6	)	)	PUNCT
ejpam-4127	224	7	∩	∩	NOUN
ejpam-4127	224	8	s|+	s|+	PROPN
ejpam-4127	224	9	|v	|v	NOUN
ejpam-4127	224	10	(	(	PUNCT
ejpam-4127	224	11	g)|	g)|	NOUN
ejpam-4127	224	12	−	−	PROPN
ejpam-4127	224	13	|nh(a	|nh(a	NUM
ejpam-4127	224	14	)	)	PUNCT
ejpam-4127	224	15	∩	∩	NOUN
ejpam-4127	224	16	s|	s|	VERB
ejpam-4127	224	17	j.	j.	PROPN
ejpam-4127	224	18	b.	b.	PROPN
ejpam-4127	224	19	palco	palco	PROPN
ejpam-4127	224	20	,	,	PUNCT
ejpam-4127	224	21	r.	r.	PROPN
ejpam-4127	224	22	n.	n.	PROPN
ejpam-4127	224	23	paluga	paluga	PROPN
ejpam-4127	224	24	,	,	PUNCT
ejpam-4127	224	25	g.	g.	PROPN
ejpam-4127	224	26	a.	a.	PROPN
ejpam-4127	224	27	malacas	malacas	PROPN
ejpam-4127	224	28	/	/	SYM
ejpam-4127	224	29	eur	eur	PROPN
ejpam-4127	224	30	.	.	PUNCT
ejpam-4127	225	1	j.	j.	PROPN
ejpam-4127	225	2	pure	pure	PROPN
ejpam-4127	225	3	appl	appl	PROPN
ejpam-4127	225	4	.	.	PROPN
ejpam-4127	225	5	math	math	PROPN
ejpam-4127	225	6	,	,	PUNCT
ejpam-4127	225	7	14	14	NUM
ejpam-4127	225	8	(	(	PUNCT
ejpam-4127	225	9	4	4	NUM
ejpam-4127	225	10	)	)	PUNCT
ejpam-4127	225	11	(	(	PUNCT
ejpam-4127	225	12	2021	2021	NUM
ejpam-4127	225	13	)	)	PUNCT
ejpam-4127	225	14	,	,	PUNCT
ejpam-4127	225	15	1324	1324	NUM
ejpam-4127	225	16	-	-	SYM
ejpam-4127	225	17	1336	1336	NUM
ejpam-4127	225	18	1334	1334	NUM
ejpam-4127	225	19	=	=	SYM
ejpam-4127	225	20	∆(h)−	∆(h)−	NOUN
ejpam-4127	225	21	rh(a)−	rh(a)−	PROPN
ejpam-4127	225	22	2|nh(a	2|nh(a	PROPN
ejpam-4127	225	23	)	)	PUNCT
ejpam-4127	225	24	∩	∩	NOUN
ejpam-4127	225	25	s|+	s|+	PROPN
ejpam-4127	225	26	|v	|v	NOUN
ejpam-4127	225	27	(	(	PUNCT
ejpam-4127	225	28	g)|	g)|	NOUN
ejpam-4127	225	29	=	=	SYM
ejpam-4127	225	30	∆(g	∆(g	PROPN
ejpam-4127	225	31	)	)	PUNCT
ejpam-4127	226	1	+	+	CCONJ
ejpam-4127	226	2	|v	|v	PROPN
ejpam-4127	226	3	(	(	PUNCT
ejpam-4127	226	4	h)|	h)|	NOUN
ejpam-4127	226	5	=	=	PUNCT
ejpam-4127	226	6	k.	k.	PROPN
ejpam-4127	226	7	hence	hence	ADV
ejpam-4127	226	8	,	,	PUNCT
ejpam-4127	226	9	s	s	VERB
ejpam-4127	226	10	is	be	AUX
ejpam-4127	226	11	a	a	DET
ejpam-4127	226	12	k	k	ADJ
ejpam-4127	226	13	-	-	PUNCT
ejpam-4127	226	14	cost	cost	NOUN
ejpam-4127	226	15	effective	effective	ADJ
ejpam-4127	226	16	dominating	dominating	NOUN
ejpam-4127	226	17	set	set	VERB
ejpam-4127	226	18	in	in	ADP
ejpam-4127	226	19	g+h	g+h	PROPN
ejpam-4127	226	20	.	.	PUNCT
ejpam-4127	227	1	theorem	theorem	VERB
ejpam-4127	227	2	7	7	NUM
ejpam-4127	227	3	.	.	PUNCT
ejpam-4127	228	1	let	let	VERB
ejpam-4127	228	2	g	g	NOUN
ejpam-4127	229	1	and	and	CCONJ
ejpam-4127	229	2	h	h	NOUN
ejpam-4127	229	3	be	be	AUX
ejpam-4127	229	4	connected	connect	VERB
ejpam-4127	229	5	graphs	graph	NOUN
ejpam-4127	229	6	such	such	ADJ
ejpam-4127	229	7	that	that	PRON
ejpam-4127	229	8	min{γ(g	min{γ(g	PROPN
ejpam-4127	229	9	)	)	PUNCT
ejpam-4127	229	10	,	,	PUNCT
ejpam-4127	229	11	γ(h	γ(h	NOUN
ejpam-4127	229	12	)	)	PUNCT
ejpam-4127	229	13	}	}	PUNCT
ejpam-4127	229	14	≥	≥	NOUN
ejpam-4127	229	15	2	2	NUM
ejpam-4127	229	16	and	and	CCONJ
ejpam-4127	229	17	k	k	PROPN
ejpam-4127	229	18	≥	≥	NOUN
ejpam-4127	229	19	∆(h	∆(h	NOUN
ejpam-4127	229	20	)	)	PUNCT
ejpam-4127	229	21	+	+	CCONJ
ejpam-4127	229	22	|v	|v	X
ejpam-4127	229	23	(	(	PUNCT
ejpam-4127	229	24	g)|+	g)|+	NOUN
ejpam-4127	229	25	1	1	NUM
ejpam-4127	229	26	.	.	PUNCT
ejpam-4127	229	27	then	then	ADV
ejpam-4127	229	28	γkce(g+h	γkce(g+h	ADJ
ejpam-4127	229	29	)	)	PUNCT
ejpam-4127	230	1	=	=	SYM
ejpam-4127	230	2	∞.	∞.	PROPN
ejpam-4127	230	3	proof	proof	NOUN
ejpam-4127	230	4	:	:	PUNCT
ejpam-4127	230	5	let	let	VERB
ejpam-4127	230	6	k	k	PROPN
ejpam-4127	230	7	≥	≥	PRON
ejpam-4127	230	8	∆(h	∆(h	VERB
ejpam-4127	230	9	)	)	PUNCT
ejpam-4127	230	10	+	+	CCONJ
ejpam-4127	230	11	|v	|v	X
ejpam-4127	230	12	(	(	PUNCT
ejpam-4127	230	13	g)|	g)|	NOUN
ejpam-4127	230	14	+	+	NOUN
ejpam-4127	230	15	1	1	X
ejpam-4127	230	16	.	.	PUNCT
ejpam-4127	230	17	suppose	suppose	VERB
ejpam-4127	230	18	that	that	SCONJ
ejpam-4127	230	19	there	there	PRON
ejpam-4127	230	20	exists	exist	VERB
ejpam-4127	230	21	a	a	DET
ejpam-4127	230	22	k	k	ADJ
ejpam-4127	230	23	-	-	PUNCT
ejpam-4127	230	24	cost	cost	NOUN
ejpam-4127	230	25	effective	effective	ADJ
ejpam-4127	230	26	dominating	dominating	NOUN
ejpam-4127	230	27	set	set	NOUN
ejpam-4127	230	28	s	s	PROPN
ejpam-4127	230	29	in	in	ADP
ejpam-4127	230	30	g+h	g+h	PROPN
ejpam-4127	230	31	.	.	PUNCT
ejpam-4127	231	1	consider	consider	VERB
ejpam-4127	231	2	the	the	DET
ejpam-4127	231	3	following	follow	VERB
ejpam-4127	231	4	cases	case	NOUN
ejpam-4127	231	5	:	:	PUNCT
ejpam-4127	231	6	case	case	NOUN
ejpam-4127	231	7	1	1	NUM
ejpam-4127	231	8	:	:	SYM
ejpam-4127	231	9	v	v	NOUN
ejpam-4127	231	10	(	(	PUNCT
ejpam-4127	231	11	g	g	NOUN
ejpam-4127	231	12	)	)	PUNCT
ejpam-4127	231	13	∩	∩	PROPN
ejpam-4127	231	14	s	s	PART
ejpam-4127	231	15	̸=	̸=	PROPN
ejpam-4127	231	16	∅	∅	NOUN
ejpam-4127	231	17	and	and	CCONJ
ejpam-4127	231	18	v	v	NOUN
ejpam-4127	231	19	(	(	PUNCT
ejpam-4127	231	20	h	h	NOUN
ejpam-4127	231	21	)	)	PUNCT
ejpam-4127	231	22	∩	∩	NOUN
ejpam-4127	231	23	s	s	PART
ejpam-4127	231	24	̸=	̸=	PROPN
ejpam-4127	231	25	∅.	∅.	ADV
ejpam-4127	231	26	let	let	VERB
ejpam-4127	231	27	a	a	DET
ejpam-4127	231	28	∈	∈	PROPN
ejpam-4127	231	29	v	v	NOUN
ejpam-4127	231	30	(	(	PUNCT
ejpam-4127	231	31	h	h	NOUN
ejpam-4127	231	32	)	)	PUNCT
ejpam-4127	231	33	∩	∩	PROPN
ejpam-4127	231	34	s.	s.	PROPN
ejpam-4127	231	35	then	then	ADV
ejpam-4127	231	36	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	231	37	)	)	PUNCT
ejpam-4127	231	38	\	\	PROPN
ejpam-4127	231	39	s|	s|	VERB
ejpam-4127	231	40	−	−	PROPN
ejpam-4127	231	41	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	231	42	)	)	PUNCT
ejpam-4127	231	43	∩	∩	NOUN
ejpam-4127	231	44	s|	s|	VERB
ejpam-4127	231	45	≤	≤	NUM
ejpam-4127	231	46	∆(h)−	∆(h)−	NOUN
ejpam-4127	231	47	1	1	NUM
ejpam-4127	231	48	+	+	CCONJ
ejpam-4127	231	49	|v	|v	X
ejpam-4127	231	50	(	(	PUNCT
ejpam-4127	231	51	g)|	g)|	INTJ
ejpam-4127	231	52	−	−	NOUN
ejpam-4127	231	53	1	1	NUM
ejpam-4127	231	54	<	<	X
ejpam-4127	231	55	∆(h	∆(h	NOUN
ejpam-4127	231	56	)	)	PUNCT
ejpam-4127	232	1	+	+	CCONJ
ejpam-4127	232	2	|v	|v	X
ejpam-4127	232	3	(	(	PUNCT
ejpam-4127	232	4	g)|+	g)|+	NOUN
ejpam-4127	232	5	1	1	NUM
ejpam-4127	232	6	=	=	SYM
ejpam-4127	232	7	k	k	NOUN
ejpam-4127	232	8	,	,	PUNCT
ejpam-4127	232	9	a	a	DET
ejpam-4127	232	10	contradiction	contradiction	NOUN
ejpam-4127	232	11	.	.	PUNCT
ejpam-4127	233	1	case	case	NOUN
ejpam-4127	233	2	2	2	NUM
ejpam-4127	233	3	:	:	PUNCT
ejpam-4127	233	4	s	s	VERB
ejpam-4127	233	5	⊆	⊆	NUM
ejpam-4127	233	6	v	v	NOUN
ejpam-4127	233	7	(	(	PUNCT
ejpam-4127	233	8	g	g	NOUN
ejpam-4127	233	9	)	)	PUNCT
ejpam-4127	233	10	.	.	PUNCT
ejpam-4127	234	1	suppose	suppose	VERB
ejpam-4127	234	2	s	s	NOUN
ejpam-4127	234	3	is	be	AUX
ejpam-4127	234	4	not	not	PART
ejpam-4127	234	5	an	an	DET
ejpam-4127	234	6	independent	independent	ADJ
ejpam-4127	234	7	dominating	dominating	NOUN
ejpam-4127	234	8	set	set	NOUN
ejpam-4127	234	9	g.	g.	PROPN
ejpam-4127	234	10	let	let	VERB
ejpam-4127	234	11	a	a	DET
ejpam-4127	234	12	∈	∈	NOUN
ejpam-4127	234	13	s.	s.	PROPN
ejpam-4127	234	14	then	then	ADV
ejpam-4127	234	15	there	there	PRON
ejpam-4127	234	16	exists	exist	VERB
ejpam-4127	234	17	a	a	DET
ejpam-4127	234	18	′	′	NUM
ejpam-4127	234	19	∈	∈	NOUN
ejpam-4127	234	20	s	s	VERB
ejpam-4127	234	21	such	such	ADJ
ejpam-4127	234	22	that	that	SCONJ
ejpam-4127	234	23	dg(a	dg(a	PROPN
ejpam-4127	234	24	,	,	PUNCT
ejpam-4127	234	25	a	a	DET
ejpam-4127	234	26	′	′	NOUN
ejpam-4127	234	27	)	)	PUNCT
ejpam-4127	235	1	=	=	SYM
ejpam-4127	235	2	1	1	X
ejpam-4127	235	3	.	.	PUNCT
ejpam-4127	235	4	now	now	ADV
ejpam-4127	235	5	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	235	6	)	)	PUNCT
ejpam-4127	235	7	\	\	NOUN
ejpam-4127	235	8	s|	s|	VERB
ejpam-4127	235	9	−	−	PROPN
ejpam-4127	235	10	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	235	11	)	)	PUNCT
ejpam-4127	235	12	∩	∩	NOUN
ejpam-4127	235	13	s|	s|	VERB
ejpam-4127	235	14	≤	≤	NUM
ejpam-4127	235	15	∆(g)−	∆(g)−	NOUN
ejpam-4127	235	16	1	1	NUM
ejpam-4127	235	17	+	+	CCONJ
ejpam-4127	235	18	|v	|v	X
ejpam-4127	235	19	(	(	PUNCT
ejpam-4127	235	20	h)|	h)|	NOUN
ejpam-4127	235	21	−	−	PROPN
ejpam-4127	235	22	1	1	NUM
ejpam-4127	235	23	≤	≤	NUM
ejpam-4127	235	24	∆(h)−	∆(h)−	NOUN
ejpam-4127	235	25	1	1	NUM
ejpam-4127	235	26	+	+	CCONJ
ejpam-4127	235	27	|v	|v	X
ejpam-4127	235	28	(	(	PUNCT
ejpam-4127	235	29	g)|	g)|	INTJ
ejpam-4127	235	30	−	−	NOUN
ejpam-4127	235	31	1	1	NUM
ejpam-4127	235	32	<	<	X
ejpam-4127	235	33	∆(h	∆(h	NOUN
ejpam-4127	235	34	)	)	PUNCT
ejpam-4127	235	35	+	+	CCONJ
ejpam-4127	235	36	|v	|v	X
ejpam-4127	235	37	(	(	PUNCT
ejpam-4127	235	38	g)|+	g)|+	NOUN
ejpam-4127	235	39	1	1	NUM
ejpam-4127	235	40	=	=	SYM
ejpam-4127	235	41	k	k	NOUN
ejpam-4127	235	42	,	,	PUNCT
ejpam-4127	235	43	a	a	DET
ejpam-4127	235	44	contradiction	contradiction	NOUN
ejpam-4127	235	45	.	.	PUNCT
ejpam-4127	236	1	thus	thus	ADV
ejpam-4127	236	2	,	,	PUNCT
ejpam-4127	236	3	in	in	ADP
ejpam-4127	236	4	this	this	DET
ejpam-4127	236	5	case	case	NOUN
ejpam-4127	236	6	s	s	VERB
ejpam-4127	236	7	is	be	AUX
ejpam-4127	236	8	an	an	DET
ejpam-4127	236	9	independent	independent	ADJ
ejpam-4127	236	10	dominating	dominating	NOUN
ejpam-4127	236	11	set	set	VERB
ejpam-4127	236	12	in	in	ADP
ejpam-4127	236	13	g.	g.	PROPN
ejpam-4127	236	14	thus	thus	ADV
ejpam-4127	236	15	,	,	PUNCT
ejpam-4127	236	16	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	236	17	)	)	PUNCT
ejpam-4127	236	18	\	\	NOUN
ejpam-4127	236	19	s|	s|	VERB
ejpam-4127	236	20	−	−	PROPN
ejpam-4127	236	21	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	236	22	)	)	PUNCT
ejpam-4127	236	23	∩	∩	NOUN
ejpam-4127	236	24	s|	s|	NOUN
ejpam-4127	236	25	=	=	SYM
ejpam-4127	236	26	degg(a	degg(a	PROPN
ejpam-4127	236	27	)	)	PUNCT
ejpam-4127	237	1	+	+	CCONJ
ejpam-4127	237	2	|v	|v	PROPN
ejpam-4127	237	3	(	(	PUNCT
ejpam-4127	237	4	h)|	h)|	NOUN
ejpam-4127	237	5	=	=	SYM
ejpam-4127	237	6	∆(g)−	∆(g)−	NOUN
ejpam-4127	237	7	rg(a	rg(a	X
ejpam-4127	237	8	)	)	PUNCT
ejpam-4127	238	1	+	+	CCONJ
ejpam-4127	238	2	|v	|v	X
ejpam-4127	238	3	(	(	PUNCT
ejpam-4127	238	4	h)|	h)|	NOUN
ejpam-4127	238	5	=	=	PUNCT
ejpam-4127	238	6	∆(h)−	∆(h)−	NOUN
ejpam-4127	238	7	rg(a	rg(a	NUM
ejpam-4127	238	8	)	)	PUNCT
ejpam-4127	239	1	+	+	CCONJ
ejpam-4127	239	2	|v	|v	X
ejpam-4127	239	3	(	(	PUNCT
ejpam-4127	239	4	g)|	g)|	X
ejpam-4127	239	5	<	<	X
ejpam-4127	239	6	∆(h	∆(h	NOUN
ejpam-4127	239	7	)	)	PUNCT
ejpam-4127	239	8	+	+	CCONJ
ejpam-4127	239	9	|v	|v	X
ejpam-4127	239	10	(	(	PUNCT
ejpam-4127	239	11	g)|+	g)|+	NOUN
ejpam-4127	239	12	1	1	NUM
ejpam-4127	239	13	=	=	SYM
ejpam-4127	239	14	k	k	NOUN
ejpam-4127	239	15	,	,	PUNCT
ejpam-4127	239	16	a	a	DET
ejpam-4127	239	17	contradiction	contradiction	NOUN
ejpam-4127	239	18	.	.	PUNCT
ejpam-4127	240	1	case	case	NOUN
ejpam-4127	240	2	3	3	NUM
ejpam-4127	240	3	:	:	PUNCT
ejpam-4127	240	4	s	s	VERB
ejpam-4127	240	5	⊆	⊆	NUM
ejpam-4127	240	6	v	v	NOUN
ejpam-4127	240	7	(	(	PUNCT
ejpam-4127	240	8	h	h	NOUN
ejpam-4127	240	9	)	)	PUNCT
ejpam-4127	240	10	.	.	PUNCT
ejpam-4127	240	11	.	.	PUNCT
ejpam-4127	241	1	let	let	VERB
ejpam-4127	241	2	a	a	DET
ejpam-4127	241	3	∈	∈	PROPN
ejpam-4127	241	4	s.	s.	PROPN
ejpam-4127	241	5	then	then	ADV
ejpam-4127	241	6	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	241	7	)	)	PUNCT
ejpam-4127	241	8	\	\	PROPN
ejpam-4127	241	9	s|	s|	VERB
ejpam-4127	241	10	−	−	PROPN
ejpam-4127	241	11	|ng+h(a	|ng+h(a	NOUN
ejpam-4127	241	12	)	)	PUNCT
ejpam-4127	241	13	∩	∩	NOUN
ejpam-4127	241	14	s|	s|	NOUN
ejpam-4127	241	15	=	=	PUNCT
ejpam-4127	241	16	degh(a)−	degh(a)−	NOUN
ejpam-4127	241	17	|nh(a	|nh(a	NUM
ejpam-4127	241	18	)	)	PUNCT
ejpam-4127	241	19	∩	∩	NOUN
ejpam-4127	241	20	s|+	s|+	PROPN
ejpam-4127	241	21	|v	|v	NOUN
ejpam-4127	241	22	(	(	PUNCT
ejpam-4127	241	23	g)|	g)|	NOUN
ejpam-4127	241	24	−	−	PROPN
ejpam-4127	241	25	|nh(a	|nh(a	NUM
ejpam-4127	241	26	)	)	PUNCT
ejpam-4127	241	27	∩	∩	NOUN
ejpam-4127	241	28	s|	s|	NOUN
ejpam-4127	241	29	=	=	SYM
ejpam-4127	241	30	∆(h)−	∆(h)−	NOUN
ejpam-4127	241	31	rh(a)−	rh(a)−	PROPN
ejpam-4127	241	32	2|nh(a	2|nh(a	PROPN
ejpam-4127	241	33	)	)	PUNCT
ejpam-4127	241	34	∩	∩	NOUN
ejpam-4127	241	35	s|+	s|+	PROPN
ejpam-4127	241	36	|v	|v	NOUN
ejpam-4127	241	37	(	(	PUNCT
ejpam-4127	241	38	g)|	g)|	NOUN
ejpam-4127	241	39	=	=	SYM
ejpam-4127	241	40	∆(g	∆(g	PROPN
ejpam-4127	241	41	)	)	PUNCT
ejpam-4127	241	42	+	+	CCONJ
ejpam-4127	241	43	|v	|v	X
ejpam-4127	241	44	(	(	PUNCT
ejpam-4127	241	45	h)|+	h)|+	NOUN
ejpam-4127	241	46	t−	t−	ADP
ejpam-4127	241	47	rh(a)−	rh(a)−	PROPN
ejpam-4127	241	48	2|nh(a	2|nh(a	PROPN
ejpam-4127	241	49	)	)	PUNCT
ejpam-4127	241	50	∩	∩	NOUN
ejpam-4127	241	51	s|	s|	NOUN
ejpam-4127	241	52	=	=	SYM
ejpam-4127	241	53	∆(g	∆(g	NOUN
ejpam-4127	241	54	)	)	PUNCT
ejpam-4127	242	1	+	+	CCONJ
ejpam-4127	242	2	|v	|v	PROPN
ejpam-4127	242	3	(	(	PUNCT
ejpam-4127	242	4	h)|	h)|	NOUN
ejpam-4127	242	5	−	−	PROPN
ejpam-4127	242	6	(	(	PUNCT
ejpam-4127	242	7	rh(a	rh(a	NOUN
ejpam-4127	242	8	)	)	PUNCT
ejpam-4127	242	9	+	+	CCONJ
ejpam-4127	242	10	2|nh(a	2|nh(a	NUM
ejpam-4127	242	11	)	)	PUNCT
ejpam-4127	242	12	∩	∩	NOUN
ejpam-4127	242	13	s|	s|	VERB
ejpam-4127	242	14	−	−	PROPN
ejpam-4127	242	15	t	t	PROPN
ejpam-4127	242	16	)	)	PUNCT
ejpam-4127	242	17	references	reference	VERB
ejpam-4127	242	18	1335	1335	NUM
ejpam-4127	242	19	=	=	SYM
ejpam-4127	242	20	∆(h	∆(h	NOUN
ejpam-4127	242	21	)	)	PUNCT
ejpam-4127	242	22	+	+	CCONJ
ejpam-4127	242	23	|v	|v	X
ejpam-4127	242	24	(	(	PUNCT
ejpam-4127	242	25	g)|	g)|	NOUN
ejpam-4127	242	26	−	−	PROPN
ejpam-4127	243	1	(	(	PUNCT
ejpam-4127	243	2	rh(a	rh(a	NOUN
ejpam-4127	243	3	)	)	PUNCT
ejpam-4127	244	1	+	+	CCONJ
ejpam-4127	244	2	2|nh(a	2|nh(a	NUM
ejpam-4127	244	3	)	)	PUNCT
ejpam-4127	244	4	∩	∩	NOUN
ejpam-4127	244	5	s|	s|	VERB
ejpam-4127	244	6	−	−	PROPN
ejpam-4127	244	7	t	t	PROPN
ejpam-4127	244	8	)	)	PUNCT
ejpam-4127	244	9	<	<	X
ejpam-4127	244	10	∆(h	∆(h	NOUN
ejpam-4127	244	11	)	)	PUNCT
ejpam-4127	244	12	+	+	CCONJ
ejpam-4127	244	13	|v	|v	X
ejpam-4127	244	14	(	(	PUNCT
ejpam-4127	244	15	g)|+	g)|+	NOUN
ejpam-4127	244	16	1	1	NUM
ejpam-4127	244	17	=	=	SYM
ejpam-4127	244	18	k	k	NOUN
ejpam-4127	244	19	,	,	PUNCT
ejpam-4127	244	20	a	a	DET
ejpam-4127	244	21	contradiction	contradiction	NOUN
ejpam-4127	244	22	.	.	PUNCT
ejpam-4127	245	1	hence	hence	ADV
ejpam-4127	245	2	,	,	PUNCT
ejpam-4127	245	3	γkce(g+h	γkce(g+h	PROPN
ejpam-4127	245	4	)	)	PUNCT
ejpam-4127	246	1	=	=	VERB
ejpam-4127	246	2	∞.	∞.	PROPN
ejpam-4127	246	3	the	the	DET
ejpam-4127	246	4	next	next	ADJ
ejpam-4127	246	5	result	result	NOUN
ejpam-4127	246	6	follows	follow	VERB
ejpam-4127	246	7	from	from	ADP
ejpam-4127	246	8	theorem	theorem	ADJ
ejpam-4127	246	9	3	3	NUM
ejpam-4127	246	10	,	,	PUNCT
ejpam-4127	246	11	theorem	theorem	VERB
ejpam-4127	246	12	4	4	NUM
ejpam-4127	246	13	,	,	PUNCT
ejpam-4127	246	14	theorem	theorem	VERB
ejpam-4127	246	15	5	5	NUM
ejpam-4127	246	16	,	,	PUNCT
ejpam-4127	246	17	theorem	theorem	VERB
ejpam-4127	246	18	6	6	NUM
ejpam-4127	246	19	and	and	CCONJ
ejpam-4127	246	20	theorem	theorem	VERB
ejpam-4127	246	21	7	7	NUM
ejpam-4127	246	22	.	.	PUNCT
ejpam-4127	246	23	corollary	corollary	ADJ
ejpam-4127	246	24	4	4	NUM
ejpam-4127	246	25	.	.	PUNCT
ejpam-4127	247	1	let	let	VERB
ejpam-4127	247	2	g	g	NOUN
ejpam-4127	247	3	and	and	CCONJ
ejpam-4127	247	4	h	h	NOUN
ejpam-4127	247	5	be	be	AUX
ejpam-4127	247	6	connected	connect	VERB
ejpam-4127	247	7	graphs	graph	NOUN
ejpam-4127	247	8	such	such	ADJ
ejpam-4127	247	9	that	that	PRON
ejpam-4127	247	10	γ(g	γ(g	PROPN
ejpam-4127	247	11	)	)	PUNCT
ejpam-4127	247	12	≥	≥	NOUN
ejpam-4127	247	13	2	2	NUM
ejpam-4127	247	14	,	,	PUNCT
ejpam-4127	247	15	γ(h	γ(h	NOUN
ejpam-4127	247	16	)	)	PUNCT
ejpam-4127	247	17	≥	≥	NOUN
ejpam-4127	247	18	2	2	NUM
ejpam-4127	247	19	and	and	CCONJ
ejpam-4127	247	20	|v	|v	PROPN
ejpam-4127	247	21	(	(	PUNCT
ejpam-4127	247	22	h)|+∆(g	h)|+∆(g	PROPN
ejpam-4127	247	23	)	)	PUNCT
ejpam-4127	247	24	≤	≤	PUNCT
ejpam-4127	247	25	|v	|v	X
ejpam-4127	247	26	(	(	PUNCT
ejpam-4127	247	27	g)|+∆(h	g)|+∆(h	PROPN
ejpam-4127	247	28	)	)	PUNCT
ejpam-4127	247	29	.	.	PUNCT
ejpam-4127	248	1	then	then	ADV
ejpam-4127	248	2	γkce(g+h	γkce(g+h	ADJ
ejpam-4127	248	3	)	)	PUNCT
ejpam-4127	248	4	=	=	PUNCT
ejpam-4127	249	1			NUM
ejpam-4127	249	2	2	2	NUM
ejpam-4127	249	3	,	,	PUNCT
ejpam-4127	249	4	if	if	SCONJ
ejpam-4127	249	5	0	0	NUM
ejpam-4127	249	6	≤	≤	NUM
ejpam-4127	249	7	k	k	X
ejpam-4127	249	8	≤	≤	PROPN
ejpam-4127	249	9	|v	|v	X
ejpam-4127	249	10	(	(	PUNCT
ejpam-4127	249	11	g)|+∆(h)−	g)|+∆(h)−	NOUN
ejpam-4127	249	12	2	2	NUM
ejpam-4127	249	13	min{γ∗	min{γ∗	NOUN
ejpam-4127	249	14	i	i	PRON
ejpam-4127	249	15	(	(	PUNCT
ejpam-4127	249	16	g	g	NOUN
ejpam-4127	249	17	)	)	PUNCT
ejpam-4127	249	18	,	,	PUNCT
ejpam-4127	249	19	γ∗(h	γ∗(h	PROPN
ejpam-4127	249	20	)	)	PUNCT
ejpam-4127	249	21	}	}	PUNCT
ejpam-4127	249	22	,	,	PUNCT
ejpam-4127	249	23	if	if	SCONJ
ejpam-4127	249	24	|v	|v	PROPN
ejpam-4127	249	25	(	(	PUNCT
ejpam-4127	249	26	g)|+∆(h)−	g)|+∆(h)−	NOUN
ejpam-4127	249	27	1	1	NUM
ejpam-4127	249	28	≤	≤	NUM
ejpam-4127	249	29	k	k	PROPN
ejpam-4127	249	30	≤	≤	PROPN
ejpam-4127	249	31	∆(g	∆(g	PROPN
ejpam-4127	249	32	)	)	PUNCT
ejpam-4127	250	1	+	+	CCONJ
ejpam-4127	250	2	|v	|v	PROPN
ejpam-4127	250	3	(	(	PUNCT
ejpam-4127	250	4	h)|	h)|	PROPN
ejpam-4127	250	5	γ(h	γ(h	PROPN
ejpam-4127	250	6	)	)	PUNCT
ejpam-4127	250	7	,	,	PUNCT
ejpam-4127	250	8	if	if	SCONJ
ejpam-4127	250	9	|v	|v	PROPN
ejpam-4127	250	10	(	(	PUNCT
ejpam-4127	250	11	h)|+∆(g	h)|+∆(g	PROPN
ejpam-4127	250	12	)	)	PUNCT
ejpam-4127	250	13	+	+	CCONJ
ejpam-4127	250	14	1	1	NUM
ejpam-4127	250	15	≤	≤	NUM
ejpam-4127	250	16	k	k	PROPN
ejpam-4127	250	17	≤	≤	PROPN
ejpam-4127	250	18	|v	|v	X
ejpam-4127	250	19	(	(	PUNCT
ejpam-4127	250	20	g)|+∆(h	g)|+∆(h	PROPN
ejpam-4127	250	21	)	)	PUNCT
ejpam-4127	250	22	∞	∞	PROPN
ejpam-4127	251	1	if	if	SCONJ
ejpam-4127	251	2	k	k	PROPN
ejpam-4127	251	3	≥	≥	PROPN
ejpam-4127	251	4	|v	|v	PROPN
ejpam-4127	251	5	(	(	PUNCT
ejpam-4127	251	6	g)|+∆(h	g)|+∆(h	PROPN
ejpam-4127	251	7	)	)	PUNCT
ejpam-4127	251	8	+	+	NUM
ejpam-4127	251	9	1	1	NUM
ejpam-4127	251	10	,	,	PUNCT
ejpam-4127	251	11	where	where	SCONJ
ejpam-4127	251	12	γ∗i	γ∗i	NUM
ejpam-4127	251	13	(	(	PUNCT
ejpam-4127	251	14	g	g	NOUN
ejpam-4127	251	15	)	)	PUNCT
ejpam-4127	251	16	=	=	NOUN
ejpam-4127	251	17	min{|s|	min{|s|	NOUN
ejpam-4127	251	18	:	:	PUNCT
ejpam-4127	251	19	s	s	VERB
ejpam-4127	251	20	is	be	AUX
ejpam-4127	251	21	a	a	DET
ejpam-4127	251	22	γi	γi	NOUN
ejpam-4127	251	23	-	-	PUNCT
ejpam-4127	251	24	set	set	NOUN
ejpam-4127	251	25	in	in	ADP
ejpam-4127	251	26	g	g	PROPN
ejpam-4127	251	27	and	and	CCONJ
ejpam-4127	251	28	δ(s	δ(s	PROPN
ejpam-4127	251	29	:	:	PUNCT
ejpam-4127	251	30	g	g	X
ejpam-4127	251	31	)	)	PUNCT
ejpam-4127	251	32	≥	≥	NOUN
ejpam-4127	251	33	∆(g)−	∆(g)−	NOUN
ejpam-4127	251	34	1	1	NUM
ejpam-4127	251	35	}	}	PUNCT
ejpam-4127	251	36	,	,	PUNCT
ejpam-4127	251	37	γ∗(h	γ∗(h	PROPN
ejpam-4127	251	38	)	)	PUNCT
ejpam-4127	252	1	=	=	NOUN
ejpam-4127	252	2	min{|s|	min{|s|	NOUN
ejpam-4127	252	3	:	:	PUNCT
ejpam-4127	252	4	s	s	VERB
ejpam-4127	252	5	is	be	AUX
ejpam-4127	252	6	a	a	DET
ejpam-4127	252	7	γ	γ	NOUN
ejpam-4127	252	8	-	-	PUNCT
ejpam-4127	252	9	set	set	VERB
ejpam-4127	252	10	in	in	ADP
ejpam-4127	252	11	g	g	PROPN
ejpam-4127	252	12	and	and	CCONJ
ejpam-4127	252	13	0	0	NUM
ejpam-4127	252	14	≤	≤	NUM
ejpam-4127	252	15	∆(g	∆(g	NOUN
ejpam-4127	252	16	)	)	PUNCT
ejpam-4127	253	1	+	+	CCONJ
ejpam-4127	253	2	|v	|v	PROPN
ejpam-4127	253	3	(	(	PUNCT
ejpam-4127	253	4	h)|	h)|	PROPN
ejpam-4127	253	5	−	−	PROPN
ejpam-4127	253	6	|v	|v	PROPN
ejpam-4127	253	7	(	(	PUNCT
ejpam-4127	253	8	g)|	g)|	PROPN
ejpam-4127	253	9	−	−	PROPN
ejpam-4127	253	10	degh(a	degh(a	NOUN
ejpam-4127	253	11	)	)	PUNCT
ejpam-4127	253	12	+	+	CCONJ
ejpam-4127	253	13	2|nh(a	2|nh(a	NUM
ejpam-4127	253	14	)	)	PUNCT
ejpam-4127	253	15	∩	∩	NOUN
ejpam-4127	253	16	s|	s|	VERB
ejpam-4127	253	17	≤	≤	NUM
ejpam-4127	253	18	1	1	NUM
ejpam-4127	253	19	}	}	PUNCT
ejpam-4127	253	20	,	,	PUNCT
ejpam-4127	253	21	and	and	CCONJ
ejpam-4127	253	22	γ(h	γ(h	NOUN
ejpam-4127	253	23	)	)	PUNCT
ejpam-4127	254	1	=	=	NOUN
ejpam-4127	254	2	min{|s|	min{|s|	NOUN
ejpam-4127	254	3	:	:	PUNCT
ejpam-4127	254	4	s	s	VERB
ejpam-4127	254	5	is	be	AUX
ejpam-4127	254	6	a	a	DET
ejpam-4127	254	7	γ	γ	NOUN
ejpam-4127	254	8	-	-	PUNCT
ejpam-4127	254	9	set	set	VERB
ejpam-4127	254	10	in	in	ADP
ejpam-4127	254	11	g	g	PROPN
ejpam-4127	254	12	and	and	CCONJ
ejpam-4127	254	13	degh(a	degh(a	NOUN
ejpam-4127	254	14	)	)	PUNCT
ejpam-4127	255	1	+	+	CCONJ
ejpam-4127	255	2	|v	|v	X
ejpam-4127	255	3	(	(	PUNCT
ejpam-4127	255	4	g)|	g)|	NOUN
ejpam-4127	255	5	−	−	PROPN
ejpam-4127	255	6	|v	|v	NOUN
ejpam-4127	255	7	(	(	PUNCT
ejpam-4127	255	8	h)|	h)|	PROPN
ejpam-4127	255	9	−	−	PROPN
ejpam-4127	255	10	2|nh(a)∩	2|nh(a)∩	PROPN
ejpam-4127	255	11	s|	s|	VERB
ejpam-4127	255	12	≥	≥	NOUN
ejpam-4127	255	13	p	p	NOUN
ejpam-4127	255	14	}	}	PUNCT
ejpam-4127	255	15	corollary	corollary	ADJ
ejpam-4127	255	16	5	5	NUM
ejpam-4127	255	17	.	.	PUNCT
ejpam-4127	256	1	let	let	VERB
ejpam-4127	256	2	g	g	NOUN
ejpam-4127	256	3	and	and	CCONJ
ejpam-4127	256	4	h	h	NOUN
ejpam-4127	256	5	be	be	AUX
ejpam-4127	256	6	connected	connect	VERB
ejpam-4127	256	7	graphs	graph	NOUN
ejpam-4127	256	8	such	such	ADJ
ejpam-4127	256	9	that	that	DET
ejpam-4127	256	10	γ(g	γ(g	PROPN
ejpam-4127	256	11	)	)	PUNCT
ejpam-4127	256	12	≥	≥	NOUN
ejpam-4127	256	13	2	2	NUM
ejpam-4127	256	14	,	,	PUNCT
ejpam-4127	256	15	γ(h	γ(h	NOUN
ejpam-4127	256	16	)	)	PUNCT
ejpam-4127	256	17	≥	≥	NOUN
ejpam-4127	256	18	2	2	NUM
ejpam-4127	256	19	and	and	CCONJ
ejpam-4127	256	20	|v	|v	PROPN
ejpam-4127	256	21	(	(	PUNCT
ejpam-4127	256	22	h)|	h)|	NOUN
ejpam-4127	256	23	+	+	CCONJ
ejpam-4127	256	24	∆(g	∆(g	NOUN
ejpam-4127	256	25	)	)	PUNCT
ejpam-4127	256	26	≤	≤	NOUN
ejpam-4127	256	27	|v	|v	X
ejpam-4127	256	28	(	(	PUNCT
ejpam-4127	256	29	g)|	g)|	NOUN
ejpam-4127	256	30	+	+	CCONJ
ejpam-4127	256	31	∆(h	∆(h	NOUN
ejpam-4127	256	32	)	)	PUNCT
ejpam-4127	256	33	.	.	PUNCT
ejpam-4127	257	1	then	then	ADV
ejpam-4127	257	2	η(g	η(g	PROPN
ejpam-4127	257	3	+	+	CCONJ
ejpam-4127	257	4	h	h	NOUN
ejpam-4127	257	5	)	)	PUNCT
ejpam-4127	257	6	=	=	SYM
ejpam-4127	257	7	|v	|v	PROPN
ejpam-4127	257	8	(	(	PUNCT
ejpam-4127	257	9	g)|	g)|	NOUN
ejpam-4127	257	10	+	+	CCONJ
ejpam-4127	257	11	∆(h	∆(h	NOUN
ejpam-4127	257	12	)	)	PUNCT
ejpam-4127	257	13	and	and	CCONJ
ejpam-4127	257	14	γ	γ	PROPN
ejpam-4127	257	15	η(g+h	η(g+h	PROPN
ejpam-4127	257	16	)	)	PUNCT
ejpam-4127	257	17	ce	ce	PROPN
ejpam-4127	257	18	(	(	PUNCT
ejpam-4127	257	19	g+h	g+h	PROPN
ejpam-4127	257	20	)	)	PUNCT
ejpam-4127	257	21	=	=	SYM
ejpam-4127	257	22	γ(h	γ(h	NOUN
ejpam-4127	257	23	)	)	PUNCT
ejpam-4127	257	24	.	.	PUNCT
ejpam-4127	258	1	acknowledgements	acknowledgement	VERB
ejpam-4127	258	2	the	the	DET
ejpam-4127	258	3	authors	author	NOUN
ejpam-4127	258	4	thank	thank	VERB
ejpam-4127	258	5	the	the	DET
ejpam-4127	258	6	peer	peer	NOUN
ejpam-4127	258	7	reviewers	reviewer	NOUN
ejpam-4127	258	8	of	of	ADP
ejpam-4127	258	9	the	the	DET
ejpam-4127	258	10	paper	paper	NOUN
ejpam-4127	258	11	and	and	CCONJ
ejpam-4127	258	12	readers	reader	NOUN
ejpam-4127	258	13	of	of	ADP
ejpam-4127	258	14	european	european	PROPN
ejpam-4127	258	15	journal	journal	PROPN
ejpam-4127	258	16	of	of	ADP
ejpam-4127	258	17	pure	pure	ADJ
ejpam-4127	258	18	and	and	CCONJ
ejpam-4127	258	19	applied	applied	ADJ
ejpam-4127	258	20	mathematics	mathematic	NOUN
ejpam-4127	258	21	,	,	PUNCT
ejpam-4127	258	22	for	for	ADP
ejpam-4127	258	23	making	make	VERB
ejpam-4127	258	24	the	the	DET
ejpam-4127	258	25	journal	journal	NOUN
ejpam-4127	258	26	successful	successful	ADJ
ejpam-4127	258	27	.	.	PUNCT
ejpam-4127	259	1	references	reference	NOUN
ejpam-4127	259	2	[	[	X
ejpam-4127	259	3	1	1	NUM
ejpam-4127	259	4	]	]	PUNCT
ejpam-4127	259	5	m.	m.	NOUN
ejpam-4127	259	6	chellali	chellali	PROPN
ejpam-4127	259	7	,	,	PUNCT
ejpam-4127	259	8	t.	t.	PROPN
ejpam-4127	259	9	w.	w.	PROPN
ejpam-4127	259	10	haynes	haynes	PROPN
ejpam-4127	259	11	and	and	CCONJ
ejpam-4127	259	12	s.	s.	PROPN
ejpam-4127	259	13	t.	t.	PROPN
ejpam-4127	259	14	hedetniemi	hedetniemi	PROPN
ejpam-4127	259	15	,	,	PUNCT
ejpam-4127	259	16	client	client	NOUN
ejpam-4127	259	17	–	–	PUNCT
ejpam-4127	259	18	server	server	NOUN
ejpam-4127	259	19	and	and	CCONJ
ejpam-4127	259	20	cost	cost	VERB
ejpam-4127	259	21	effective	effective	ADJ
ejpam-4127	259	22	sets	set	NOUN
ejpam-4127	259	23	in	in	ADP
ejpam-4127	259	24	graphs	graph	NOUN
ejpam-4127	259	25	,	,	PUNCT
ejpam-4127	259	26	akce	akce	ADJ
ejpam-4127	259	27	international	international	ADJ
ejpam-4127	259	28	journal	journal	NOUN
ejpam-4127	259	29	of	of	ADP
ejpam-4127	259	30	graphs	graph	NOUN
ejpam-4127	259	31	and	and	CCONJ
ejpam-4127	259	32	combinatorics	combinatoric	NOUN
ejpam-4127	259	33	15(2017	15(2017	NUM
ejpam-4127	259	34	)	)	PUNCT
ejpam-4127	259	35	,	,	PUNCT
ejpam-4127	259	36	211	211	NUM
ejpam-4127	259	37	-	-	SYM
ejpam-4127	259	38	2018	2018	NUM
ejpam-4127	259	39	.	.	PUNCT
ejpam-4127	260	1	[	[	X
ejpam-4127	260	2	2	2	X
ejpam-4127	260	3	]	]	X
ejpam-4127	260	4	t.w	t.w	PROPN
ejpam-4127	260	5	.	.	PROPN
ejpam-4127	260	6	haynes	haynes	PROPN
ejpam-4127	260	7	,	,	PUNCT
ejpam-4127	260	8	s.m	s.m	PROPN
ejpam-4127	260	9	.	.	PROPN
ejpam-4127	260	10	hedetniemi	hedetniemi	PROPN
ejpam-4127	260	11	,	,	PUNCT
ejpam-4127	260	12	s.t	s.t	PROPN
ejpam-4127	260	13	.	.	PROPN
ejpam-4127	260	14	hedetniemi	hedetniemi	PROPN
ejpam-4127	260	15	,	,	PUNCT
ejpam-4127	260	16	t.l	t.l	PROPN
ejpam-4127	260	17	.	.	PROPN
ejpam-4127	260	18	mccoy	mccoy	PROPN
ejpam-4127	260	19	,	,	PUNCT
ejpam-4127	260	20	i.	i.	PROPN
ejpam-4127	260	21	vasylieva	vasylieva	PROPN
ejpam-4127	260	22	,	,	PUNCT
ejpam-4127	260	23	cost	cost	VERB
ejpam-4127	260	24	effective	effective	ADJ
ejpam-4127	260	25	domination	domination	NOUN
ejpam-4127	260	26	in	in	ADP
ejpam-4127	260	27	graphs	graph	NOUN
ejpam-4127	260	28	,	,	PUNCT
ejpam-4127	260	29	cong	cong	PROPN
ejpam-4127	260	30	.	.	PUNCT
ejpam-4127	261	1	numer	numer	PROPN
ejpam-4127	261	2	.	.	PUNCT
ejpam-4127	262	1	211	211	NUM
ejpam-4127	262	2	(	(	PUNCT
ejpam-4127	262	3	2012	2012	NUM
ejpam-4127	262	4	)	)	PUNCT
ejpam-4127	262	5	,	,	PUNCT
ejpam-4127	262	6	197	197	NUM
ejpam-4127	262	7	-	-	SYM
ejpam-4127	262	8	209	209	NUM
ejpam-4127	262	9	.	.	PUNCT
ejpam-4127	263	1	[	[	X
ejpam-4127	263	2	3	3	X
ejpam-4127	263	3	]	]	X
ejpam-4127	263	4	s.m	s.m	PROPN
ejpam-4127	263	5	.	.	PROPN
ejpam-4127	263	6	hedetniemi	hedetniemi	PROPN
ejpam-4127	263	7	,	,	PUNCT
ejpam-4127	263	8	s.t	s.t	PROPN
ejpam-4127	263	9	.	.	PROPN
ejpam-4127	263	10	hedetniemi	hedetniemi	PROPN
ejpam-4127	263	11	,	,	PUNCT
ejpam-4127	263	12	a.a	a.a	PROPN
ejpam-4127	263	13	.	.	PROPN
ejpam-4127	263	14	mcrae	mcrae	PROPN
ejpam-4127	263	15	,	,	PUNCT
ejpam-4127	263	16	very	very	ADV
ejpam-4127	263	17	cost	cost	VERB
ejpam-4127	263	18	effective	effective	ADJ
ejpam-4127	263	19	bipartitions	bipartition	NOUN
ejpam-4127	263	20	in	in	ADP
ejpam-4127	263	21	graphs	graph	NOUN
ejpam-4127	263	22	.	.	PUNCT
ejpam-4127	264	1	akce	akce	PROPN
ejpam-4127	264	2	international	international	PROPN
ejpam-4127	264	3	journal	journal	NOUN
ejpam-4127	264	4	of	of	ADP
ejpam-4127	264	5	graphs	graph	NOUN
ejpam-4127	264	6	and	and	CCONJ
ejpam-4127	264	7	combinatorics	combinatoric	NOUN
ejpam-4127	264	8	.	.	PUNCT
ejpam-4127	265	1	12(2015	12(2015	NUM
ejpam-4127	265	2	)	)	PUNCT
ejpam-4127	265	3	,	,	PUNCT
ejpam-4127	265	4	155	155	NUM
ejpam-4127	265	5	-	-	SYM
ejpam-4127	265	6	160	160	NUM
ejpam-4127	265	7	.	.	PUNCT
ejpam-4127	266	1	[	[	X
ejpam-4127	266	2	4	4	X
ejpam-4127	266	3	]	]	X
ejpam-4127	266	4	f.	f.	PROPN
ejpam-4127	266	5	jamil	jamil	PROPN
ejpam-4127	266	6	and	and	CCONJ
ejpam-4127	266	7	h.	h.	PROPN
ejpam-4127	266	8	maglanque	maglanque	PROPN
ejpam-4127	266	9	,	,	PUNCT
ejpam-4127	266	10	on	on	ADP
ejpam-4127	266	11	cost	cost	NOUN
ejpam-4127	266	12	effective	effective	ADJ
ejpam-4127	266	13	domination	domination	NOUN
ejpam-4127	266	14	in	in	ADP
ejpam-4127	266	15	join	join	NOUN
ejpam-4127	266	16	,	,	PUNCT
ejpam-4127	266	17	corona	corona	NOUN
ejpam-4127	266	18	and	and	CCONJ
ejpam-4127	266	19	composition	composition	NOUN
ejpam-4127	266	20	of	of	ADP
ejpam-4127	266	21	graphs	graph	NOUN
ejpam-4127	266	22	,	,	PUNCT
ejpam-4127	266	23	european	european	ADJ
ejpam-4127	266	24	journal	journal	NOUN
ejpam-4127	266	25	of	of	ADP
ejpam-4127	266	26	pure	pure	ADJ
ejpam-4127	266	27	and	and	CCONJ
ejpam-4127	266	28	applied	applied	ADJ
ejpam-4127	266	29	mathematics	mathematic	NOUN
ejpam-4127	266	30	,	,	PUNCT
ejpam-4127	266	31	graph	graph	NOUN
ejpam-4127	266	32	theory	theory	NOUN
ejpam-4127	266	33	.	.	PUNCT
ejpam-4127	267	1	vol.12	vol.12	NOUN
ejpam-4127	267	2	,	,	PUNCT
ejpam-4127	267	3	no.3	no.3	NOUN
ejpam-4127	267	4	,	,	PUNCT
ejpam-4127	267	5	978	978	NUM
ejpam-4127	267	6	-	-	SYM
ejpam-4127	267	7	998	998	NUM
ejpam-4127	267	8	,	,	PUNCT
ejpam-4127	267	9	2019	2019	NUM
ejpam-4127	267	10	.	.	PUNCT
ejpam-4127	268	1	references	reference	NOUN
ejpam-4127	268	2	1336	1336	NUM
ejpam-4127	269	1	[	[	X
ejpam-4127	269	2	5	5	X
ejpam-4127	269	3	]	]	PUNCT
ejpam-4127	269	4	j.	j.	PROPN
ejpam-4127	269	5	palco	palco	PROPN
ejpam-4127	269	6	,	,	PUNCT
ejpam-4127	269	7	r.	r.	PROPN
ejpam-4127	269	8	paluga	paluga	PROPN
ejpam-4127	269	9	and	and	CCONJ
ejpam-4127	269	10	g.	g.	PROPN
ejpam-4127	269	11	malacas	malacas	PROPN
ejpam-4127	269	12	,	,	PUNCT
ejpam-4127	269	13	on	on	ADP
ejpam-4127	269	14	k	k	ADJ
ejpam-4127	269	15	-	-	PUNCT
ejpam-4127	269	16	cost	cost	ADJ
ejpam-4127	269	17	effective	effective	ADJ
ejpam-4127	269	18	domination	domination	NOUN
ejpam-4127	269	19	number	number	NOUN
ejpam-4127	269	20	,	,	PUNCT
ejpam-4127	269	21	cost	cost	VERB
ejpam-4127	269	22	effective	effective	ADJ
ejpam-4127	269	23	domination	domination	NOUN
ejpam-4127	269	24	index	index	NOUN
ejpam-4127	269	25	and	and	CCONJ
ejpam-4127	269	26	maximal	maximal	ADJ
ejpam-4127	269	27	cost	cost	NOUN
ejpam-4127	269	28	effective	effective	ADJ
ejpam-4127	269	29	domination	domination	NOUN
ejpam-4127	269	30	number	number	NOUN
ejpam-4127	269	31	of	of	ADP
ejpam-4127	269	32	simple	simple	ADJ
ejpam-4127	269	33	graphs	graph	NOUN
ejpam-4127	269	34	,	,	PUNCT
ejpam-4127	269	35	far	far	ADV
ejpam-4127	269	36	east	east	NOUN
ejpam-4127	269	37	journal	journal	PROPN
ejpam-4127	269	38	of	of	ADP
ejpam-4127	269	39	mathematical	mathematical	ADJ
ejpam-4127	269	40	sciences	sciences	PROPN
ejpam-4127	269	41	(	(	PUNCT
ejpam-4127	269	42	fjms	fjms	NOUN
ejpam-4127	269	43	)	)	PUNCT
ejpam-4127	269	44	,	,	PUNCT
ejpam-4127	269	45	volume	volume	NOUN
ejpam-4127	269	46	114	114	NUM
ejpam-4127	269	47	,	,	PUNCT
ejpam-4127	269	48	issue	issue	NOUN
ejpam-4127	269	49	1	1	NUM
ejpam-4127	269	50	,	,	PUNCT
ejpam-4127	269	51	55	55	NUM
ejpam-4127	269	52	-	-	SYM
ejpam-4127	269	53	68	68	NUM
ejpam-4127	269	54	,	,	PUNCT
ejpam-4127	269	55	2019	2019	NUM
ejpam-4127	269	56	.	.	PUNCT