id	sid	tid	token	lemma	pos
ejpam-4748	1	1	european	european	PROPN
ejpam-4748	1	2	journal	journal	PROPN
ejpam-4748	1	3	of	of	ADP
ejpam-4748	1	4	pure	pure	ADJ
ejpam-4748	1	5	and	and	CCONJ
ejpam-4748	1	6	applied	apply	VERB
ejpam-4748	1	7	mathematics	mathematic	NOUN
ejpam-4748	1	8	vol	vol	NOUN
ejpam-4748	1	9	.	.	PUNCT
ejpam-4748	2	1	16	16	NUM
ejpam-4748	2	2	,	,	PUNCT
ejpam-4748	2	3	no	no	INTJ
ejpam-4748	2	4	.	.	NOUN
ejpam-4748	2	5	3	3	NUM
ejpam-4748	2	6	,	,	PUNCT
ejpam-4748	2	7	2023	2023	NUM
ejpam-4748	2	8	,	,	PUNCT
ejpam-4748	2	9	1685	1685	NUM
ejpam-4748	2	10	-	-	SYM
ejpam-4748	2	11	1694	1694	NUM
ejpam-4748	2	12	issn	issn	PROPN
ejpam-4748	2	13	1307	1307	NUM
ejpam-4748	2	14	-	-	SYM
ejpam-4748	2	15	5543	5543	NUM
ejpam-4748	2	16	–	–	PUNCT
ejpam-4748	2	17	ejpam.com	ejpam.com	X
ejpam-4748	2	18	published	publish	VERB
ejpam-4748	2	19	by	by	ADP
ejpam-4748	2	20	new	new	PROPN
ejpam-4748	2	21	york	york	PROPN
ejpam-4748	2	22	business	business	PROPN
ejpam-4748	2	23	global	global	ADJ
ejpam-4748	2	24	global	global	ADJ
ejpam-4748	2	25	stable	stable	ADJ
ejpam-4748	2	26	location	location	NOUN
ejpam-4748	2	27	-	-	PUNCT
ejpam-4748	2	28	domination	domination	NOUN
ejpam-4748	2	29	in	in	ADP
ejpam-4748	2	30	graphs	graph	NOUN
ejpam-4748	2	31	marivir	marivir	PROPN
ejpam-4748	2	32	m.	m.	PROPN
ejpam-4748	2	33	ortega1,∗	ortega1,∗	PROPN
ejpam-4748	2	34	,	,	PUNCT
ejpam-4748	2	35	gina	gina	PROPN
ejpam-4748	2	36	a.	a.	PROPN
ejpam-4748	2	37	malacas1,2	malacas1,2	PROPN
ejpam-4748	2	38	,	,	PUNCT
ejpam-4748	2	39	sergio	sergio	PROPN
ejpam-4748	2	40	r.	r.	PROPN
ejpam-4748	2	41	canoy	canoy	PROPN
ejpam-4748	2	42	,	,	PUNCT
ejpam-4748	2	43	jr.1,2	jr.1,2	ADJ
ejpam-4748	2	44	1	1	NUM
ejpam-4748	2	45	department	department	NOUN
ejpam-4748	2	46	of	of	ADP
ejpam-4748	2	47	mathematics	mathematic	NOUN
ejpam-4748	2	48	and	and	CCONJ
ejpam-4748	2	49	statistics	statistic	NOUN
ejpam-4748	2	50	,	,	PUNCT
ejpam-4748	2	51	college	college	NOUN
ejpam-4748	2	52	of	of	ADP
ejpam-4748	2	53	science	science	NOUN
ejpam-4748	2	54	and	and	CCONJ
ejpam-4748	2	55	mathematics	mathematic	NOUN
ejpam-4748	2	56	,	,	PUNCT
ejpam-4748	2	57	mindanao	mindanao	PROPN
ejpam-4748	2	58	state	state	PROPN
ejpam-4748	2	59	university	university	PROPN
ejpam-4748	2	60	-	-	PUNCT
ejpam-4748	2	61	iligan	iligan	PROPN
ejpam-4748	2	62	institute	institute	PROPN
ejpam-4748	2	63	of	of	ADP
ejpam-4748	2	64	technology	technology	PROPN
ejpam-4748	2	65	,	,	PUNCT
ejpam-4748	2	66	9200	9200	NUM
ejpam-4748	2	67	iligan	iligan	ADJ
ejpam-4748	2	68	city	city	NOUN
ejpam-4748	2	69	,	,	PUNCT
ejpam-4748	2	70	philippines	philippine	NOUN
ejpam-4748	2	71	2	2	NUM
ejpam-4748	2	72	center	center	NOUN
ejpam-4748	2	73	for	for	ADP
ejpam-4748	2	74	graph	graph	NOUN
ejpam-4748	2	75	theory	theory	NOUN
ejpam-4748	2	76	,	,	PUNCT
ejpam-4748	2	77	algebra	algebra	NOUN
ejpam-4748	2	78	,	,	PUNCT
ejpam-4748	2	79	and	and	CCONJ
ejpam-4748	2	80	analysis	analysis	NOUN
ejpam-4748	2	81	,	,	PUNCT
ejpam-4748	2	82	premier	premier	PROPN
ejpam-4748	2	83	research	research	PROPN
ejpam-4748	2	84	institute	institute	PROPN
ejpam-4748	2	85	of	of	ADP
ejpam-4748	2	86	science	science	NOUN
ejpam-4748	2	87	and	and	CCONJ
ejpam-4748	2	88	mathematics	mathematic	NOUN
ejpam-4748	2	89	,	,	PUNCT
ejpam-4748	2	90	mindanao	mindanao	PROPN
ejpam-4748	2	91	state	state	PROPN
ejpam-4748	2	92	university	university	PROPN
ejpam-4748	2	93	-	-	PUNCT
ejpam-4748	2	94	iligan	iligan	PROPN
ejpam-4748	2	95	institute	institute	PROPN
ejpam-4748	2	96	of	of	ADP
ejpam-4748	2	97	technology	technology	PROPN
ejpam-4748	2	98	,	,	PUNCT
ejpam-4748	2	99	9200	9200	NUM
ejpam-4748	2	100	iligan	iligan	ADJ
ejpam-4748	2	101	city	city	NOUN
ejpam-4748	2	102	,	,	PUNCT
ejpam-4748	2	103	philippines	philippine	NOUN
ejpam-4748	2	104	abstract	abstract	ADJ
ejpam-4748	2	105	.	.	PUNCT
ejpam-4748	3	1	in	in	ADP
ejpam-4748	3	2	this	this	DET
ejpam-4748	3	3	paper	paper	NOUN
ejpam-4748	3	4	,	,	PUNCT
ejpam-4748	3	5	we	we	PRON
ejpam-4748	3	6	introduce	introduce	VERB
ejpam-4748	3	7	and	and	CCONJ
ejpam-4748	3	8	investigate	investigate	VERB
ejpam-4748	3	9	the	the	DET
ejpam-4748	3	10	concept	concept	NOUN
ejpam-4748	3	11	of	of	ADP
ejpam-4748	3	12	global	global	ADJ
ejpam-4748	3	13	stable	stable	ADJ
ejpam-4748	3	14	locationdomination	locationdomination	NOUN
ejpam-4748	3	15	in	in	ADP
ejpam-4748	3	16	graphs	graph	NOUN
ejpam-4748	3	17	.	.	PUNCT
ejpam-4748	4	1	we	we	PRON
ejpam-4748	4	2	also	also	ADV
ejpam-4748	4	3	characterize	characterize	VERB
ejpam-4748	4	4	the	the	DET
ejpam-4748	4	5	global	global	ADJ
ejpam-4748	4	6	stable	stable	ADJ
ejpam-4748	4	7	locating	locating	NOUN
ejpam-4748	4	8	-	-	PUNCT
ejpam-4748	4	9	dominating	dominating	NOUN
ejpam-4748	4	10	sets	set	NOUN
ejpam-4748	4	11	in	in	ADP
ejpam-4748	4	12	the	the	DET
ejpam-4748	4	13	join	join	NOUN
ejpam-4748	4	14	,	,	PUNCT
ejpam-4748	4	15	edge	edge	NOUN
ejpam-4748	4	16	corona	corona	NOUN
ejpam-4748	4	17	,	,	PUNCT
ejpam-4748	4	18	corona	corona	PROPN
ejpam-4748	4	19	,	,	PUNCT
ejpam-4748	4	20	and	and	CCONJ
ejpam-4748	4	21	lexicographic	lexicographic	ADJ
ejpam-4748	4	22	product	product	NOUN
ejpam-4748	4	23	of	of	ADP
ejpam-4748	4	24	graphs	graph	NOUN
ejpam-4748	4	25	and	and	CCONJ
ejpam-4748	4	26	determine	determine	VERB
ejpam-4748	4	27	the	the	DET
ejpam-4748	4	28	value	value	NOUN
ejpam-4748	4	29	of	of	ADP
ejpam-4748	4	30	the	the	DET
ejpam-4748	4	31	corresponding	corresponding	ADJ
ejpam-4748	4	32	global	global	ADJ
ejpam-4748	4	33	stable	stable	ADJ
ejpam-4748	4	34	locating	locating	NOUN
ejpam-4748	4	35	-	-	PUNCT
ejpam-4748	4	36	domination	domination	NOUN
ejpam-4748	4	37	number	number	NOUN
ejpam-4748	4	38	.	.	PUNCT
ejpam-4748	5	1	2020	2020	NUM
ejpam-4748	5	2	mathematics	mathematic	NOUN
ejpam-4748	5	3	subject	subject	NOUN
ejpam-4748	5	4	classifications	classification	NOUN
ejpam-4748	5	5	:	:	PUNCT
ejpam-4748	5	6	05c69	05c69	X
ejpam-4748	5	7	key	key	ADJ
ejpam-4748	5	8	words	word	NOUN
ejpam-4748	5	9	and	and	CCONJ
ejpam-4748	5	10	phrases	phrase	NOUN
ejpam-4748	5	11	:	:	PUNCT
ejpam-4748	5	12	global	global	ADJ
ejpam-4748	5	13	stable	stable	ADJ
ejpam-4748	5	14	location	location	NOUN
ejpam-4748	5	15	-	-	PUNCT
ejpam-4748	5	16	domination	domination	NOUN
ejpam-4748	5	17	,	,	PUNCT
ejpam-4748	5	18	location	location	NOUN
ejpam-4748	5	19	-	-	PUNCT
ejpam-4748	5	20	domination	domination	NOUN
ejpam-4748	5	21	,	,	PUNCT
ejpam-4748	5	22	stable	stable	ADJ
ejpam-4748	5	23	domination	domination	NOUN
ejpam-4748	5	24	,	,	PUNCT
ejpam-4748	5	25	global	global	ADJ
ejpam-4748	5	26	domination	domination	NOUN
ejpam-4748	5	27	,	,	PUNCT
ejpam-4748	5	28	join	join	NOUN
ejpam-4748	5	29	,	,	PUNCT
ejpam-4748	5	30	edge	edge	NOUN
ejpam-4748	5	31	corona	corona	NOUN
ejpam-4748	5	32	,	,	PUNCT
ejpam-4748	5	33	corona	corona	PROPN
ejpam-4748	5	34	,	,	PUNCT
ejpam-4748	5	35	lexicographic	lexicographic	ADJ
ejpam-4748	5	36	product	product	NOUN
ejpam-4748	5	37	1	1	NUM
ejpam-4748	5	38	.	.	PUNCT
ejpam-4748	6	1	introduction	introduction	NOUN
ejpam-4748	6	2	over	over	ADP
ejpam-4748	6	3	the	the	DET
ejpam-4748	6	4	past	past	ADJ
ejpam-4748	6	5	decades	decade	NOUN
ejpam-4748	6	6	,	,	PUNCT
ejpam-4748	6	7	the	the	DET
ejpam-4748	6	8	study	study	NOUN
ejpam-4748	6	9	of	of	ADP
ejpam-4748	6	10	dominating	dominating	NOUN
ejpam-4748	6	11	sets	set	NOUN
ejpam-4748	6	12	have	have	AUX
ejpam-4748	6	13	been	be	AUX
ejpam-4748	6	14	explored	explore	VERB
ejpam-4748	6	15	by	by	ADP
ejpam-4748	6	16	many	many	ADJ
ejpam-4748	6	17	mathematicians	mathematician	NOUN
ejpam-4748	6	18	.	.	PUNCT
ejpam-4748	7	1	a	a	DET
ejpam-4748	7	2	lot	lot	NOUN
ejpam-4748	7	3	of	of	ADP
ejpam-4748	7	4	its	its	PRON
ejpam-4748	7	5	variants	variant	NOUN
ejpam-4748	7	6	have	have	AUX
ejpam-4748	7	7	been	be	AUX
ejpam-4748	7	8	introduced	introduce	VERB
ejpam-4748	7	9	.	.	PUNCT
ejpam-4748	8	1	an	an	DET
ejpam-4748	8	2	interesting	interesting	ADJ
ejpam-4748	8	3	variant	variant	NOUN
ejpam-4748	8	4	of	of	ADP
ejpam-4748	8	5	domination	domination	NOUN
ejpam-4748	8	6	which	which	PRON
ejpam-4748	8	7	was	be	AUX
ejpam-4748	8	8	introduced	introduce	VERB
ejpam-4748	8	9	by	by	ADP
ejpam-4748	8	10	slater	slater	NOUN
ejpam-4748	8	11	is	be	AUX
ejpam-4748	8	12	the	the	DET
ejpam-4748	8	13	location	location	NOUN
ejpam-4748	8	14	-	-	PUNCT
ejpam-4748	8	15	domination	domination	NOUN
ejpam-4748	8	16	[	[	X
ejpam-4748	8	17	10	10	NUM
ejpam-4748	8	18	,	,	PUNCT
ejpam-4748	8	19	11	11	NUM
ejpam-4748	8	20	]	]	PUNCT
ejpam-4748	8	21	.	.	PUNCT
ejpam-4748	9	1	locatingdominating	locatingdominating	NOUN
ejpam-4748	9	2	sets	set	NOUN
ejpam-4748	9	3	were	be	AUX
ejpam-4748	9	4	first	first	ADV
ejpam-4748	9	5	introduced	introduce	VERB
ejpam-4748	9	6	in	in	ADP
ejpam-4748	9	7	order	order	NOUN
ejpam-4748	9	8	to	to	PART
ejpam-4748	9	9	identify	identify	VERB
ejpam-4748	9	10	the	the	DET
ejpam-4748	9	11	location	location	NOUN
ejpam-4748	9	12	of	of	ADP
ejpam-4748	9	13	fires	fire	NOUN
ejpam-4748	9	14	or	or	CCONJ
ejpam-4748	9	15	intruders	intruder	NOUN
ejpam-4748	9	16	in	in	ADP
ejpam-4748	9	17	a	a	DET
ejpam-4748	9	18	building	building	NOUN
ejpam-4748	9	19	[	[	X
ejpam-4748	9	20	7	7	NUM
ejpam-4748	9	21	]	]	PUNCT
ejpam-4748	9	22	.	.	PUNCT
ejpam-4748	10	1	in	in	ADP
ejpam-4748	10	2	a	a	DET
ejpam-4748	10	3	building	building	NOUN
ejpam-4748	10	4	,	,	PUNCT
ejpam-4748	10	5	a	a	DET
ejpam-4748	10	6	fire	fire	NOUN
ejpam-4748	10	7	alarm	alarm	NOUN
ejpam-4748	10	8	system	system	NOUN
ejpam-4748	10	9	is	be	AUX
ejpam-4748	10	10	placed	place	VERB
ejpam-4748	10	11	on	on	ADP
ejpam-4748	10	12	a	a	DET
ejpam-4748	10	13	wall	wall	NOUN
ejpam-4748	10	14	or	or	CCONJ
ejpam-4748	10	15	a	a	DET
ejpam-4748	10	16	ceiling	ceiling	NOUN
ejpam-4748	10	17	.	.	PUNCT
ejpam-4748	11	1	each	each	DET
ejpam-4748	11	2	alarm	alarm	NOUN
ejpam-4748	11	3	will	will	AUX
ejpam-4748	11	4	send	send	VERB
ejpam-4748	11	5	a	a	DET
ejpam-4748	11	6	signal	signal	NOUN
ejpam-4748	11	7	when	when	SCONJ
ejpam-4748	11	8	it	it	PRON
ejpam-4748	11	9	detects	detect	VERB
ejpam-4748	11	10	a	a	DET
ejpam-4748	11	11	fire	fire	NOUN
ejpam-4748	11	12	in	in	ADP
ejpam-4748	11	13	any	any	DET
ejpam-4748	11	14	adjacent	adjacent	ADJ
ejpam-4748	11	15	vertices	vertex	NOUN
ejpam-4748	11	16	and	and	CCONJ
ejpam-4748	11	17	the	the	DET
ejpam-4748	11	18	activated	activate	VERB
ejpam-4748	11	19	signal	signal	NOUN
ejpam-4748	11	20	will	will	AUX
ejpam-4748	11	21	determine	determine	VERB
ejpam-4748	11	22	the	the	DET
ejpam-4748	11	23	location	location	NOUN
ejpam-4748	11	24	of	of	ADP
ejpam-4748	11	25	the	the	DET
ejpam-4748	11	26	fire	fire	NOUN
ejpam-4748	11	27	.	.	PUNCT
ejpam-4748	12	1	suppose	suppose	VERB
ejpam-4748	12	2	that	that	SCONJ
ejpam-4748	12	3	exactly	exactly	ADV
ejpam-4748	12	4	one	one	NUM
ejpam-4748	12	5	of	of	ADP
ejpam-4748	12	6	the	the	DET
ejpam-4748	12	7	alarm	alarm	NOUN
ejpam-4748	12	8	fails	fail	VERB
ejpam-4748	12	9	or	or	CCONJ
ejpam-4748	12	10	will	will	AUX
ejpam-4748	12	11	not	not	PART
ejpam-4748	12	12	function	function	VERB
ejpam-4748	12	13	.	.	PUNCT
ejpam-4748	13	1	when	when	SCONJ
ejpam-4748	13	2	this	this	DET
ejpam-4748	13	3	situation	situation	NOUN
ejpam-4748	13	4	happens	happen	VERB
ejpam-4748	13	5	,	,	PUNCT
ejpam-4748	13	6	the	the	DET
ejpam-4748	13	7	fire	fire	NOUN
ejpam-4748	13	8	alarm	alarm	NOUN
ejpam-4748	13	9	system	system	NOUN
ejpam-4748	13	10	may	may	AUX
ejpam-4748	13	11	not	not	PART
ejpam-4748	13	12	function	function	VERB
ejpam-4748	13	13	precisely	precisely	ADV
ejpam-4748	13	14	.	.	PUNCT
ejpam-4748	14	1	moreover	moreover	ADV
ejpam-4748	14	2	,	,	PUNCT
ejpam-4748	14	3	if	if	SCONJ
ejpam-4748	14	4	this	this	DET
ejpam-4748	14	5	fire	fire	NOUN
ejpam-4748	14	6	alarm	alarm	NOUN
ejpam-4748	14	7	system	system	NOUN
ejpam-4748	14	8	fails	fail	VERB
ejpam-4748	14	9	,	,	PUNCT
ejpam-4748	14	10	a	a	DET
ejpam-4748	14	11	backup	backup	ADJ
ejpam-4748	14	12	placement	placement	NOUN
ejpam-4748	14	13	of	of	ADP
ejpam-4748	14	14	fire	fire	NOUN
ejpam-4748	14	15	alarms	alarm	NOUN
ejpam-4748	14	16	will	will	AUX
ejpam-4748	14	17	be	be	AUX
ejpam-4748	14	18	useful	useful	ADJ
ejpam-4748	14	19	in	in	ADP
ejpam-4748	14	20	a	a	DET
ejpam-4748	14	21	more	more	ADV
ejpam-4748	14	22	precise	precise	ADJ
ejpam-4748	14	23	detection	detection	NOUN
ejpam-4748	14	24	of	of	ADP
ejpam-4748	14	25	fires	fire	NOUN
ejpam-4748	14	26	in	in	ADP
ejpam-4748	14	27	the	the	DET
ejpam-4748	14	28	building	building	NOUN
ejpam-4748	14	29	.	.	PUNCT
ejpam-4748	15	1	to	to	PART
ejpam-4748	15	2	address	address	VERB
ejpam-4748	15	3	these	these	DET
ejpam-4748	15	4	problems	problem	NOUN
ejpam-4748	15	5	,	,	PUNCT
ejpam-4748	15	6	some	some	DET
ejpam-4748	15	7	additional	additional	ADJ
ejpam-4748	15	8	conditions	condition	NOUN
ejpam-4748	15	9	can	can	AUX
ejpam-4748	15	10	be	be	AUX
ejpam-4748	15	11	imposed	impose	VERB
ejpam-4748	15	12	to	to	ADP
ejpam-4748	15	13	the	the	DET
ejpam-4748	15	14	concept	concept	NOUN
ejpam-4748	15	15	of	of	ADP
ejpam-4748	15	16	location	location	NOUN
ejpam-4748	15	17	-	-	PUNCT
ejpam-4748	15	18	domination	domination	NOUN
ejpam-4748	15	19	.	.	PUNCT
ejpam-4748	16	1	some	some	DET
ejpam-4748	16	2	variations	variation	NOUN
ejpam-4748	16	3	of	of	ADP
ejpam-4748	16	4	location	location	NOUN
ejpam-4748	16	5	-	-	PUNCT
ejpam-4748	16	6	domination	domination	NOUN
ejpam-4748	16	7	that	that	PRON
ejpam-4748	16	8	incorporate	incorporate	VERB
ejpam-4748	16	9	the	the	DET
ejpam-4748	16	10	concepts	concept	NOUN
ejpam-4748	16	11	of	of	ADP
ejpam-4748	16	12	globality	globality	NOUN
ejpam-4748	16	13	and	and	CCONJ
ejpam-4748	16	14	stability	stability	NOUN
ejpam-4748	16	15	are	be	AUX
ejpam-4748	16	16	introduced	introduce	VERB
ejpam-4748	16	17	and	and	CCONJ
ejpam-4748	16	18	investigated	investigate	VERB
ejpam-4748	16	19	in	in	ADP
ejpam-4748	16	20	[	[	X
ejpam-4748	16	21	1–6	1–6	NUM
ejpam-4748	16	22	,	,	PUNCT
ejpam-4748	16	23	8	8	NUM
ejpam-4748	16	24	,	,	PUNCT
ejpam-4748	16	25	9	9	NUM
ejpam-4748	16	26	]	]	PUNCT
ejpam-4748	16	27	.	.	PUNCT
ejpam-4748	17	1	∗corresponding	∗corresponde	VERB
ejpam-4748	17	2	author	author	NOUN
ejpam-4748	17	3	.	.	PUNCT
ejpam-4748	18	1	doi	doi	NOUN
ejpam-4748	18	2	:	:	PUNCT
ejpam-4748	18	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4748	https://doi.org/10.29020/nybg.ejpam.v16i3.4748	PROPN
ejpam-4748	18	4	email	email	NOUN
ejpam-4748	18	5	addresses	address	NOUN
ejpam-4748	18	6	:	:	PUNCT
ejpam-4748	18	7	marivir.ortega@g.msuiit.edu.ph	marivir.ortega@g.msuiit.edu.ph	PROPN
ejpam-4748	18	8	(	(	PUNCT
ejpam-4748	18	9	m.	m.	NOUN
ejpam-4748	18	10	ortega	ortega	PROPN
ejpam-4748	18	11	)	)	PUNCT
ejpam-4748	18	12	,	,	PUNCT
ejpam-4748	18	13	gina.malacas@g.msuiit.edu.ph	gina.malacas@g.msuiit.edu.ph	PROPN
ejpam-4748	18	14	(	(	PUNCT
ejpam-4748	18	15	g.	g.	PROPN
ejpam-4748	18	16	malacas	malacas	PROPN
ejpam-4748	18	17	)	)	PUNCT
ejpam-4748	18	18	,	,	PUNCT
ejpam-4748	18	19	sergio.canoy@g.msuiit.edu.ph	sergio.canoy@g.msuiit.edu.ph	PROPN
ejpam-4748	18	20	(	(	PUNCT
ejpam-4748	18	21	s.	s.	PROPN
ejpam-4748	18	22	canoy	canoy	PROPN
ejpam-4748	18	23	,	,	PUNCT
ejpam-4748	18	24	jr	jr	PROPN
ejpam-4748	18	25	.	.	PUNCT
ejpam-4748	18	26	)	)	PUNCT
ejpam-4748	18	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4748	18	28	1685	1685	NUM
ejpam-4748	18	29	©	©	PROPN
ejpam-4748	18	30	2023	2023	NUM
ejpam-4748	18	31	ejpam	ejpam	NOUN
ejpam-4748	18	32	all	all	DET
ejpam-4748	18	33	rights	right	NOUN
ejpam-4748	18	34	reserved	reserve	VERB
ejpam-4748	18	35	.	.	PUNCT
ejpam-4748	19	1	m.	m.	PROPN
ejpam-4748	19	2	ortega	ortega	PROPN
ejpam-4748	19	3	,	,	PUNCT
ejpam-4748	19	4	g.	g.	PROPN
ejpam-4748	19	5	malacas	malacas	PROPN
ejpam-4748	19	6	,	,	PUNCT
ejpam-4748	19	7	s.	s.	PROPN
ejpam-4748	19	8	canoy	canoy	PROPN
ejpam-4748	19	9	,	,	PUNCT
ejpam-4748	19	10	jr	jr	PROPN
ejpam-4748	19	11	.	.	PROPN
ejpam-4748	19	12	/	/	SYM
ejpam-4748	19	13	eur	eur	PROPN
ejpam-4748	19	14	.	.	PUNCT
ejpam-4748	20	1	j.	j.	PROPN
ejpam-4748	20	2	pure	pure	PROPN
ejpam-4748	20	3	appl	appl	PROPN
ejpam-4748	20	4	.	.	PROPN
ejpam-4748	20	5	math	math	PROPN
ejpam-4748	20	6	,	,	PUNCT
ejpam-4748	20	7	16	16	NUM
ejpam-4748	20	8	(	(	PUNCT
ejpam-4748	20	9	3	3	NUM
ejpam-4748	20	10	)	)	PUNCT
ejpam-4748	20	11	(	(	PUNCT
ejpam-4748	20	12	2023	2023	NUM
ejpam-4748	20	13	)	)	PUNCT
ejpam-4748	20	14	,	,	PUNCT
ejpam-4748	20	15	1685	1685	NUM
ejpam-4748	20	16	-	-	SYM
ejpam-4748	20	17	1694	1694	NUM
ejpam-4748	20	18	1686	1686	NUM
ejpam-4748	20	19	2	2	NUM
ejpam-4748	20	20	.	.	PUNCT
ejpam-4748	20	21	terminology	terminology	NOUN
ejpam-4748	20	22	and	and	CCONJ
ejpam-4748	20	23	notation	notation	NOUN
ejpam-4748	20	24	let	let	VERB
ejpam-4748	20	25	g	g	NOUN
ejpam-4748	20	26	=	=	SYM
ejpam-4748	20	27	(	(	PUNCT
ejpam-4748	20	28	v	v	NOUN
ejpam-4748	20	29	(	(	PUNCT
ejpam-4748	20	30	g	g	NOUN
ejpam-4748	20	31	)	)	PUNCT
ejpam-4748	20	32	,	,	PUNCT
ejpam-4748	20	33	e(g	e(g	PROPN
ejpam-4748	20	34	)	)	PUNCT
ejpam-4748	20	35	)	)	PUNCT
ejpam-4748	20	36	be	be	AUX
ejpam-4748	20	37	a	a	DET
ejpam-4748	20	38	graph	graph	NOUN
ejpam-4748	20	39	and	and	CCONJ
ejpam-4748	20	40	v	v	ADP
ejpam-4748	20	41	∈	∈	PROPN
ejpam-4748	20	42	v	v	NOUN
ejpam-4748	20	43	(	(	PUNCT
ejpam-4748	20	44	g	g	NOUN
ejpam-4748	20	45	)	)	PUNCT
ejpam-4748	20	46	.	.	PUNCT
ejpam-4748	21	1	the	the	DET
ejpam-4748	21	2	open	open	ADJ
ejpam-4748	21	3	neighborhood	neighborhood	NOUN
ejpam-4748	21	4	of	of	ADP
ejpam-4748	21	5	v	v	NOUN
ejpam-4748	21	6	in	in	ADP
ejpam-4748	21	7	g	g	PROPN
ejpam-4748	21	8	is	be	AUX
ejpam-4748	21	9	the	the	DET
ejpam-4748	21	10	set	set	NOUN
ejpam-4748	21	11	ng(v	ng(v	PUNCT
ejpam-4748	21	12	)	)	PUNCT
ejpam-4748	21	13	=	=	SYM
ejpam-4748	22	1	{	{	PUNCT
ejpam-4748	22	2	u	u	NOUN
ejpam-4748	22	3	∈	∈	PROPN
ejpam-4748	22	4	v	v	NOUN
ejpam-4748	22	5	(	(	PUNCT
ejpam-4748	22	6	g	g	NOUN
ejpam-4748	22	7	)	)	PUNCT
ejpam-4748	22	8	:	:	PUNCT
ejpam-4748	22	9	uv	uv	PROPN
ejpam-4748	22	10	∈	∈	PROPN
ejpam-4748	22	11	e(g	e(g	PROPN
ejpam-4748	22	12	)	)	PUNCT
ejpam-4748	22	13	}	}	PUNCT
ejpam-4748	22	14	and	and	CCONJ
ejpam-4748	22	15	the	the	DET
ejpam-4748	22	16	closed	closed	ADJ
ejpam-4748	22	17	neighborhood	neighborhood	NOUN
ejpam-4748	22	18	of	of	ADP
ejpam-4748	22	19	v	v	NOUN
ejpam-4748	22	20	is	be	AUX
ejpam-4748	22	21	the	the	DET
ejpam-4748	22	22	set	set	NOUN
ejpam-4748	22	23	ng[v	ng[v	NOUN
ejpam-4748	22	24	]	]	X
ejpam-4748	22	25	=	=	SYM
ejpam-4748	22	26	ng(v	ng(v	X
ejpam-4748	22	27	)	)	PUNCT
ejpam-4748	22	28	∪	∪	ADP
ejpam-4748	22	29	{	{	PUNCT
ejpam-4748	22	30	v	v	NOUN
ejpam-4748	22	31	}	}	PUNCT
ejpam-4748	22	32	.	.	PUNCT
ejpam-4748	23	1	the	the	DET
ejpam-4748	23	2	degree	degree	NOUN
ejpam-4748	23	3	of	of	ADP
ejpam-4748	23	4	v	v	NUM
ejpam-4748	23	5	∈	∈	NOUN
ejpam-4748	23	6	v	v	NOUN
ejpam-4748	23	7	(	(	PUNCT
ejpam-4748	23	8	g	g	NOUN
ejpam-4748	23	9	)	)	PUNCT
ejpam-4748	23	10	,	,	PUNCT
ejpam-4748	23	11	denoted	denote	VERB
ejpam-4748	23	12	by	by	ADP
ejpam-4748	23	13	degg(v	degg(v	PROPN
ejpam-4748	23	14	)	)	PUNCT
ejpam-4748	23	15	,	,	PUNCT
ejpam-4748	23	16	is	be	AUX
ejpam-4748	23	17	equal	equal	ADJ
ejpam-4748	23	18	to	to	ADP
ejpam-4748	23	19	the	the	DET
ejpam-4748	23	20	cardinality	cardinality	NOUN
ejpam-4748	23	21	of	of	ADP
ejpam-4748	23	22	ng(v	ng(v	PUNCT
ejpam-4748	23	23	)	)	PUNCT
ejpam-4748	23	24	and	and	CCONJ
ejpam-4748	23	25	the	the	DET
ejpam-4748	23	26	maximum	maximum	ADJ
ejpam-4748	23	27	degree	degree	NOUN
ejpam-4748	23	28	of	of	ADP
ejpam-4748	23	29	g	g	PROPN
ejpam-4748	23	30	is	be	AUX
ejpam-4748	23	31	∆(g	∆(g	NOUN
ejpam-4748	23	32	)	)	PUNCT
ejpam-4748	23	33	=	=	PUNCT
ejpam-4748	23	34	max{degg(v	max{degg(v	NOUN
ejpam-4748	23	35	)	)	PUNCT
ejpam-4748	23	36	:	:	PUNCT
ejpam-4748	23	37	v	v	X
ejpam-4748	23	38	∈	∈	PROPN
ejpam-4748	23	39	v	v	NOUN
ejpam-4748	23	40	(	(	PUNCT
ejpam-4748	23	41	g	g	NOUN
ejpam-4748	23	42	)	)	PUNCT
ejpam-4748	23	43	}	}	PUNCT
ejpam-4748	23	44	.	.	PUNCT
ejpam-4748	24	1	a	a	DET
ejpam-4748	24	2	vertex	vertex	NOUN
ejpam-4748	24	3	w	w	NOUN
ejpam-4748	24	4	of	of	ADP
ejpam-4748	24	5	g	g	PROPN
ejpam-4748	24	6	is	be	AUX
ejpam-4748	24	7	a	a	DET
ejpam-4748	24	8	leaf	leaf	NOUN
ejpam-4748	24	9	if	if	SCONJ
ejpam-4748	24	10	degg(w	degg(w	PROPN
ejpam-4748	24	11	)	)	PUNCT
ejpam-4748	24	12	=	=	SYM
ejpam-4748	25	1	1	1	X
ejpam-4748	25	2	.	.	PUNCT
ejpam-4748	25	3	a	a	DET
ejpam-4748	25	4	vertex	vertex	NOUN
ejpam-4748	25	5	u	u	NOUN
ejpam-4748	25	6	is	be	AUX
ejpam-4748	25	7	a	a	DET
ejpam-4748	25	8	support	support	NOUN
ejpam-4748	25	9	vertex	vertex	NOUN
ejpam-4748	25	10	if	if	SCONJ
ejpam-4748	25	11	uw	uw	PROPN
ejpam-4748	25	12	∈	∈	PROPN
ejpam-4748	25	13	e(g	e(g	PROPN
ejpam-4748	25	14	)	)	PUNCT
ejpam-4748	25	15	for	for	ADP
ejpam-4748	25	16	some	some	DET
ejpam-4748	25	17	leaf	leaf	NOUN
ejpam-4748	25	18	w	w	NOUN
ejpam-4748	25	19	of	of	ADP
ejpam-4748	25	20	g.	g.	PROPN
ejpam-4748	25	21	the	the	DET
ejpam-4748	25	22	sets	set	NOUN
ejpam-4748	25	23	l(g	l(g	PROPN
ejpam-4748	25	24	)	)	PUNCT
ejpam-4748	25	25	annd	annd	PROPN
ejpam-4748	25	26	s(g	s(g	PROPN
ejpam-4748	25	27	)	)	PUNCT
ejpam-4748	25	28	denote	denote	VERB
ejpam-4748	25	29	the	the	DET
ejpam-4748	25	30	sets	set	NOUN
ejpam-4748	25	31	of	of	ADP
ejpam-4748	25	32	leaves	leave	NOUN
ejpam-4748	25	33	and	and	CCONJ
ejpam-4748	25	34	support	support	NOUN
ejpam-4748	25	35	vertices	vertex	NOUN
ejpam-4748	25	36	of	of	ADP
ejpam-4748	25	37	g	g	NOUN
ejpam-4748	25	38	,	,	PUNCT
ejpam-4748	25	39	respectively	respectively	ADV
ejpam-4748	25	40	.	.	PUNCT
ejpam-4748	26	1	a	a	DET
ejpam-4748	26	2	set	set	NOUN
ejpam-4748	26	3	d	d	NOUN
ejpam-4748	26	4	⊆	⊆	NUM
ejpam-4748	26	5	v	v	ADP
ejpam-4748	26	6	(	(	PUNCT
ejpam-4748	26	7	g	g	NOUN
ejpam-4748	26	8	)	)	PUNCT
ejpam-4748	26	9	is	be	AUX
ejpam-4748	26	10	a	a	DET
ejpam-4748	26	11	dominating	dominating	NOUN
ejpam-4748	26	12	set	set	VERB
ejpam-4748	26	13	in	in	ADP
ejpam-4748	26	14	g	g	PROPN
ejpam-4748	26	15	if	if	SCONJ
ejpam-4748	26	16	for	for	ADP
ejpam-4748	26	17	every	every	DET
ejpam-4748	26	18	v	v	NUM
ejpam-4748	26	19	∈	∈	NOUN
ejpam-4748	26	20	v	v	NOUN
ejpam-4748	26	21	(	(	PUNCT
ejpam-4748	26	22	g)\d	g)\d	NOUN
ejpam-4748	26	23	,	,	PUNCT
ejpam-4748	26	24	there	there	PRON
ejpam-4748	26	25	exists	exist	VERB
ejpam-4748	26	26	u	u	NOUN
ejpam-4748	26	27	∈	∈	PROPN
ejpam-4748	26	28	d	d	ADP
ejpam-4748	26	29	such	such	ADJ
ejpam-4748	26	30	that	that	DET
ejpam-4748	26	31	uv	uv	PROPN
ejpam-4748	26	32	∈	∈	PROPN
ejpam-4748	26	33	e(g	e(g	PROPN
ejpam-4748	26	34	)	)	PUNCT
ejpam-4748	26	35	,	,	PUNCT
ejpam-4748	26	36	that	that	ADV
ejpam-4748	26	37	is	is	ADV
ejpam-4748	26	38	,	,	PUNCT
ejpam-4748	26	39	n	n	PROPN
ejpam-4748	26	40	[	[	X
ejpam-4748	26	41	d	d	X
ejpam-4748	26	42	]	]	X
ejpam-4748	26	43	=	=	SYM
ejpam-4748	26	44	v	v	NOUN
ejpam-4748	26	45	(	(	PUNCT
ejpam-4748	26	46	g	g	NOUN
ejpam-4748	26	47	)	)	PUNCT
ejpam-4748	26	48	.	.	PUNCT
ejpam-4748	27	1	the	the	DET
ejpam-4748	27	2	minimum	minimum	ADJ
ejpam-4748	27	3	cardinality	cardinality	NOUN
ejpam-4748	27	4	of	of	ADP
ejpam-4748	27	5	a	a	DET
ejpam-4748	27	6	dominating	dominating	NOUN
ejpam-4748	27	7	set	set	NOUN
ejpam-4748	27	8	in	in	ADP
ejpam-4748	27	9	g	g	NOUN
ejpam-4748	27	10	,	,	PUNCT
ejpam-4748	27	11	denoted	denote	VERB
ejpam-4748	27	12	by	by	ADP
ejpam-4748	27	13	γ(g	γ(g	PROPN
ejpam-4748	27	14	)	)	PUNCT
ejpam-4748	27	15	,	,	PUNCT
ejpam-4748	27	16	is	be	AUX
ejpam-4748	27	17	the	the	DET
ejpam-4748	27	18	domination	domination	NOUN
ejpam-4748	27	19	number	number	NOUN
ejpam-4748	27	20	of	of	ADP
ejpam-4748	27	21	g.	g.	PROPN
ejpam-4748	27	22	a	a	DET
ejpam-4748	27	23	subset	subset	NOUN
ejpam-4748	27	24	s	s	NOUN
ejpam-4748	27	25	of	of	ADP
ejpam-4748	27	26	v	v	NOUN
ejpam-4748	27	27	(	(	PUNCT
ejpam-4748	27	28	g	g	NOUN
ejpam-4748	27	29	)	)	PUNCT
ejpam-4748	27	30	is	be	AUX
ejpam-4748	27	31	a	a	DET
ejpam-4748	27	32	locating	locating	NOUN
ejpam-4748	27	33	set	set	VERB
ejpam-4748	27	34	in	in	ADP
ejpam-4748	27	35	a	a	DET
ejpam-4748	27	36	graph	graph	NOUN
ejpam-4748	27	37	g	g	NOUN
ejpam-4748	27	38	if	if	SCONJ
ejpam-4748	27	39	every	every	DET
ejpam-4748	27	40	two	two	NUM
ejpam-4748	27	41	vertices	vertice	VERB
ejpam-4748	27	42	u	u	NOUN
ejpam-4748	27	43	and	and	CCONJ
ejpam-4748	27	44	v	v	NOUN
ejpam-4748	27	45	of	of	ADP
ejpam-4748	27	46	v	v	NOUN
ejpam-4748	27	47	(	(	PUNCT
ejpam-4748	27	48	g)\s	g)\s	NOUN
ejpam-4748	27	49	,	,	PUNCT
ejpam-4748	27	50	ng(u	ng(u	NOUN
ejpam-4748	27	51	)	)	PUNCT
ejpam-4748	27	52	∩	∩	NOUN
ejpam-4748	27	53	s	s	PART
ejpam-4748	27	54	̸=	̸=	PROPN
ejpam-4748	27	55	ng(v	ng(v	NUM
ejpam-4748	27	56	)	)	PUNCT
ejpam-4748	27	57	∩	∩	PROPN
ejpam-4748	27	58	s.	s.	PROPN
ejpam-4748	27	59	a	a	DET
ejpam-4748	27	60	subset	subset	NOUN
ejpam-4748	27	61	s	s	X
ejpam-4748	27	62	of	of	ADP
ejpam-4748	27	63	v	v	NOUN
ejpam-4748	27	64	(	(	PUNCT
ejpam-4748	27	65	g	g	NOUN
ejpam-4748	27	66	)	)	PUNCT
ejpam-4748	27	67	is	be	AUX
ejpam-4748	27	68	a	a	DET
ejpam-4748	27	69	strictly	strictly	ADV
ejpam-4748	27	70	locating	locate	VERB
ejpam-4748	27	71	set	set	VERB
ejpam-4748	27	72	if	if	SCONJ
ejpam-4748	27	73	it	it	PRON
ejpam-4748	27	74	is	be	AUX
ejpam-4748	27	75	locating	locate	VERB
ejpam-4748	27	76	and	and	CCONJ
ejpam-4748	27	77	ng(u	ng(u	NOUN
ejpam-4748	27	78	)	)	PUNCT
ejpam-4748	27	79	∩	∩	NOUN
ejpam-4748	27	80	s	s	PART
ejpam-4748	27	81	̸=	̸=	PROPN
ejpam-4748	27	82	s	s	PART
ejpam-4748	27	83	for	for	ADP
ejpam-4748	27	84	all	all	DET
ejpam-4748	27	85	u	u	NOUN
ejpam-4748	27	86	∈	∈	PROPN
ejpam-4748	27	87	v	v	NOUN
ejpam-4748	27	88	(	(	PUNCT
ejpam-4748	27	89	g)\s	g)\s	NOUN
ejpam-4748	27	90	.	.	PUNCT
ejpam-4748	28	1	a	a	DET
ejpam-4748	28	2	locating	locating	NOUN
ejpam-4748	28	3	(	(	PUNCT
ejpam-4748	28	4	resp	resp	NOUN
ejpam-4748	28	5	.	.	PUNCT
ejpam-4748	29	1	strictly	strictly	ADV
ejpam-4748	29	2	locating	locate	VERB
ejpam-4748	29	3	)	)	PUNCT
ejpam-4748	29	4	subset	subset	NOUN
ejpam-4748	29	5	s	s	PROPN
ejpam-4748	29	6	of	of	ADP
ejpam-4748	29	7	v	v	NOUN
ejpam-4748	29	8	(	(	PUNCT
ejpam-4748	29	9	g	g	NOUN
ejpam-4748	29	10	)	)	PUNCT
ejpam-4748	29	11	which	which	PRON
ejpam-4748	29	12	is	be	AUX
ejpam-4748	29	13	also	also	ADV
ejpam-4748	29	14	dominating	dominate	VERB
ejpam-4748	29	15	is	be	AUX
ejpam-4748	29	16	called	call	VERB
ejpam-4748	29	17	a	a	DET
ejpam-4748	29	18	locating	locate	VERB
ejpam-4748	29	19	-	-	PUNCT
ejpam-4748	29	20	dominating	dominate	VERB
ejpam-4748	29	21	(	(	PUNCT
ejpam-4748	29	22	resp	resp	NOUN
ejpam-4748	29	23	.	.	PUNCT
ejpam-4748	30	1	strictly	strictly	ADV
ejpam-4748	30	2	locating	locate	VERB
ejpam-4748	30	3	-	-	PUNCT
ejpam-4748	30	4	dominating	dominating	NOUN
ejpam-4748	30	5	)	)	PUNCT
ejpam-4748	30	6	set	set	VERB
ejpam-4748	30	7	in	in	ADP
ejpam-4748	30	8	a	a	DET
ejpam-4748	30	9	graph	graph	NOUN
ejpam-4748	30	10	g.	g.	NOUN
ejpam-4748	30	11	the	the	DET
ejpam-4748	30	12	minimum	minimum	ADJ
ejpam-4748	30	13	cardinality	cardinality	NOUN
ejpam-4748	30	14	of	of	ADP
ejpam-4748	30	15	a	a	DET
ejpam-4748	30	16	locating	locate	VERB
ejpam-4748	30	17	-	-	PUNCT
ejpam-4748	30	18	dominating	dominate	VERB
ejpam-4748	30	19	(	(	PUNCT
ejpam-4748	30	20	resp	resp	NOUN
ejpam-4748	30	21	.	.	PUNCT
ejpam-4748	31	1	strictly	strictly	ADV
ejpam-4748	31	2	locating	locate	VERB
ejpam-4748	31	3	-	-	PUNCT
ejpam-4748	31	4	dominating	dominating	NOUN
ejpam-4748	31	5	)	)	PUNCT
ejpam-4748	31	6	set	set	VERB
ejpam-4748	31	7	in	in	ADP
ejpam-4748	31	8	g	g	NOUN
ejpam-4748	31	9	,	,	PUNCT
ejpam-4748	31	10	denoted	denote	VERB
ejpam-4748	31	11	by	by	ADP
ejpam-4748	31	12	γl(g	γl(g	NUM
ejpam-4748	31	13	)	)	PUNCT
ejpam-4748	31	14	(	(	PUNCT
ejpam-4748	31	15	resp	resp	NOUN
ejpam-4748	31	16	.	.	PUNCT
ejpam-4748	32	1	γsl(g	γsl(g	X
ejpam-4748	32	2	)	)	PUNCT
ejpam-4748	32	3	)	)	PUNCT
ejpam-4748	33	1	,	,	PUNCT
ejpam-4748	33	2	is	be	AUX
ejpam-4748	33	3	called	call	VERB
ejpam-4748	33	4	the	the	DET
ejpam-4748	33	5	l	l	NOUN
ejpam-4748	33	6	-	-	NOUN
ejpam-4748	33	7	domination	domination	NOUN
ejpam-4748	33	8	(	(	PUNCT
ejpam-4748	33	9	resp	resp	NOUN
ejpam-4748	33	10	.	.	PUNCT
ejpam-4748	34	1	sl	sl	NOUN
ejpam-4748	34	2	-	-	PUNCT
ejpam-4748	34	3	domination	domination	NOUN
ejpam-4748	34	4	)	)	PUNCT
ejpam-4748	34	5	number	number	NOUN
ejpam-4748	34	6	of	of	ADP
ejpam-4748	34	7	g.	g.	PROPN
ejpam-4748	34	8	a	a	DET
ejpam-4748	34	9	locating	locating	NOUN
ejpam-4748	34	10	(	(	PUNCT
ejpam-4748	34	11	resp	resp	NOUN
ejpam-4748	34	12	.	.	PUNCT
ejpam-4748	35	1	strictly	strictly	ADV
ejpam-4748	35	2	locating	locate	VERB
ejpam-4748	35	3	)	)	PUNCT
ejpam-4748	35	4	set	set	NOUN
ejpam-4748	35	5	s	s	PRON
ejpam-4748	35	6	in	in	ADP
ejpam-4748	35	7	g	g	PROPN
ejpam-4748	35	8	is	be	AUX
ejpam-4748	35	9	a	a	DET
ejpam-4748	35	10	stable	stable	ADJ
ejpam-4748	35	11	locating	locating	NOUN
ejpam-4748	35	12	(	(	PUNCT
ejpam-4748	35	13	resp	resp	NOUN
ejpam-4748	35	14	.	.	PUNCT
ejpam-4748	36	1	stable	stable	ADJ
ejpam-4748	36	2	strictly	strictly	ADV
ejpam-4748	36	3	locating	locate	VERB
ejpam-4748	36	4	)	)	PUNCT
ejpam-4748	36	5	set	set	VERB
ejpam-4748	36	6	in	in	ADP
ejpam-4748	36	7	g	g	PROPN
ejpam-4748	36	8	if	if	SCONJ
ejpam-4748	36	9	sv	sv	PROPN
ejpam-4748	36	10	=	=	SYM
ejpam-4748	36	11	s\{v	s\{v	PROPN
ejpam-4748	36	12	}	}	PUNCT
ejpam-4748	36	13	is	be	AUX
ejpam-4748	36	14	a	a	DET
ejpam-4748	36	15	locating	locating	NOUN
ejpam-4748	36	16	(	(	PUNCT
ejpam-4748	36	17	resp	resp	NOUN
ejpam-4748	36	18	.	.	PUNCT
ejpam-4748	37	1	strictly	strictly	ADV
ejpam-4748	37	2	locating	locate	VERB
ejpam-4748	37	3	)	)	PUNCT
ejpam-4748	37	4	set	set	NOUN
ejpam-4748	37	5	of	of	ADP
ejpam-4748	37	6	g	g	NOUN
ejpam-4748	37	7	for	for	ADP
ejpam-4748	37	8	each	each	DET
ejpam-4748	37	9	v	v	NOUN
ejpam-4748	37	10	∈	∈	PROPN
ejpam-4748	37	11	s.	s.	PROPN
ejpam-4748	37	12	the	the	DET
ejpam-4748	37	13	minimum	minimum	ADJ
ejpam-4748	37	14	cardinality	cardinality	NOUN
ejpam-4748	37	15	of	of	ADP
ejpam-4748	37	16	a	a	DET
ejpam-4748	37	17	stable	stable	ADJ
ejpam-4748	37	18	strictly	strictly	ADV
ejpam-4748	37	19	locating	locate	VERB
ejpam-4748	37	20	set	set	NOUN
ejpam-4748	37	21	,	,	PUNCT
ejpam-4748	37	22	denoted	denote	VERB
ejpam-4748	37	23	by	by	ADP
ejpam-4748	37	24	ηssls(g	ηssls(g	PROPN
ejpam-4748	37	25	)	)	PUNCT
ejpam-4748	37	26	,	,	PUNCT
ejpam-4748	37	27	is	be	AUX
ejpam-4748	37	28	called	call	VERB
ejpam-4748	37	29	the	the	DET
ejpam-4748	37	30	stable	stable	ADJ
ejpam-4748	37	31	strictly	strictly	ADV
ejpam-4748	37	32	location	location	NOUN
ejpam-4748	37	33	number	number	NOUN
ejpam-4748	37	34	of	of	ADP
ejpam-4748	37	35	g.	g.	PROPN
ejpam-4748	37	36	any	any	DET
ejpam-4748	37	37	stable	stable	ADJ
ejpam-4748	37	38	strictly	strictly	ADV
ejpam-4748	37	39	locating	locate	VERB
ejpam-4748	37	40	set	set	VERB
ejpam-4748	37	41	with	with	ADP
ejpam-4748	37	42	cardinality	cardinality	NOUN
ejpam-4748	37	43	ηssls	ηssls	NOUN
ejpam-4748	37	44	is	be	AUX
ejpam-4748	37	45	called	call	VERB
ejpam-4748	37	46	a	a	DET
ejpam-4748	37	47	minimum	minimum	NOUN
ejpam-4748	37	48	stable	stable	NOUN
ejpam-4748	37	49	strictly	strictly	ADV
ejpam-4748	37	50	locating	locate	VERB
ejpam-4748	37	51	set	set	VERB
ejpam-4748	37	52	or	or	CCONJ
ejpam-4748	37	53	an	an	DET
ejpam-4748	37	54	ηssls	ηssls	NOUN
ejpam-4748	37	55	-	-	PUNCT
ejpam-4748	37	56	set	set	NOUN
ejpam-4748	37	57	.	.	PUNCT
ejpam-4748	38	1	a	a	DET
ejpam-4748	38	2	locating	locating	NOUN
ejpam-4748	38	3	(	(	PUNCT
ejpam-4748	38	4	resp	resp	NOUN
ejpam-4748	38	5	.	.	PUNCT
ejpam-4748	39	1	strictly	strictly	ADV
ejpam-4748	39	2	locating	locate	VERB
ejpam-4748	39	3	)	)	PUNCT
ejpam-4748	39	4	set	set	NOUN
ejpam-4748	39	5	s	s	PRON
ejpam-4748	39	6	in	in	ADP
ejpam-4748	39	7	g	g	PROPN
ejpam-4748	39	8	is	be	AUX
ejpam-4748	39	9	a	a	DET
ejpam-4748	39	10	stable	stable	ADJ
ejpam-4748	39	11	locating	locating	NOUN
ejpam-4748	39	12	(	(	PUNCT
ejpam-4748	39	13	resp	resp	NOUN
ejpam-4748	39	14	.	.	PUNCT
ejpam-4748	40	1	stable	stable	ADJ
ejpam-4748	40	2	strictly	strictly	ADV
ejpam-4748	40	3	locating	locate	VERB
ejpam-4748	40	4	)	)	PUNCT
ejpam-4748	40	5	set	set	VERB
ejpam-4748	40	6	in	in	ADP
ejpam-4748	40	7	g	g	PROPN
ejpam-4748	40	8	if	if	SCONJ
ejpam-4748	40	9	sv	sv	PROPN
ejpam-4748	40	10	=	=	SYM
ejpam-4748	40	11	s\{v	s\{v	PROPN
ejpam-4748	40	12	}	}	PUNCT
ejpam-4748	40	13	is	be	AUX
ejpam-4748	40	14	a	a	DET
ejpam-4748	40	15	locating	locating	NOUN
ejpam-4748	40	16	(	(	PUNCT
ejpam-4748	40	17	resp	resp	NOUN
ejpam-4748	40	18	.	.	PUNCT
ejpam-4748	41	1	strictly	strictly	ADV
ejpam-4748	41	2	locating	locate	VERB
ejpam-4748	41	3	)	)	PUNCT
ejpam-4748	41	4	set	set	NOUN
ejpam-4748	41	5	of	of	ADP
ejpam-4748	41	6	g	g	NOUN
ejpam-4748	41	7	for	for	ADP
ejpam-4748	41	8	each	each	DET
ejpam-4748	41	9	v	v	NOUN
ejpam-4748	41	10	∈	∈	PROPN
ejpam-4748	41	11	s.	s.	PROPN
ejpam-4748	41	12	a	a	DET
ejpam-4748	41	13	locating	locate	VERB
ejpam-4748	41	14	-	-	PUNCT
ejpam-4748	41	15	dominating	dominating	NOUN
ejpam-4748	41	16	(	(	PUNCT
ejpam-4748	41	17	resp	resp	NOUN
ejpam-4748	41	18	.	.	PUNCT
ejpam-4748	42	1	stricty	stricty	ADJ
ejpam-4748	42	2	locating	locate	VERB
ejpam-4748	42	3	-	-	PUNCT
ejpam-4748	42	4	dominating	dominating	NOUN
ejpam-4748	42	5	)	)	PUNCT
ejpam-4748	42	6	set	set	NOUN
ejpam-4748	42	7	s	s	PRON
ejpam-4748	42	8	of	of	ADP
ejpam-4748	42	9	g	g	PROPN
ejpam-4748	42	10	is	be	AUX
ejpam-4748	42	11	a	a	DET
ejpam-4748	42	12	stable	stable	ADJ
ejpam-4748	42	13	locating	locating	NOUN
ejpam-4748	42	14	-	-	PUNCT
ejpam-4748	42	15	dominating	dominating	NOUN
ejpam-4748	42	16	(	(	PUNCT
ejpam-4748	42	17	resp	resp	NOUN
ejpam-4748	42	18	.	.	PUNCT
ejpam-4748	43	1	stable	stable	ADJ
ejpam-4748	43	2	strictly	strictly	ADV
ejpam-4748	43	3	locating	locate	VERB
ejpam-4748	43	4	-	-	PUNCT
ejpam-4748	43	5	dominating	dominating	NOUN
ejpam-4748	43	6	)	)	PUNCT
ejpam-4748	43	7	set	set	NOUN
ejpam-4748	43	8	of	of	ADP
ejpam-4748	43	9	g	g	PROPN
ejpam-4748	43	10	if	if	SCONJ
ejpam-4748	43	11	sv	sv	PROPN
ejpam-4748	43	12	=	=	SYM
ejpam-4748	43	13	s\{v	s\{v	PROPN
ejpam-4748	43	14	}	}	PUNCT
ejpam-4748	43	15	is	be	AUX
ejpam-4748	43	16	a	a	DET
ejpam-4748	43	17	locating	locate	VERB
ejpam-4748	43	18	-	-	PUNCT
ejpam-4748	43	19	dominating	dominate	VERB
ejpam-4748	43	20	(	(	PUNCT
ejpam-4748	43	21	resp	resp	NOUN
ejpam-4748	43	22	.	.	PUNCT
ejpam-4748	44	1	strictly	strictly	ADV
ejpam-4748	44	2	locating	locate	VERB
ejpam-4748	44	3	-	-	PUNCT
ejpam-4748	44	4	dominating	dominating	NOUN
ejpam-4748	44	5	)	)	PUNCT
ejpam-4748	44	6	set	set	NOUN
ejpam-4748	44	7	of	of	ADP
ejpam-4748	44	8	g	g	NOUN
ejpam-4748	44	9	for	for	ADP
ejpam-4748	44	10	each	each	DET
ejpam-4748	44	11	v	v	NOUN
ejpam-4748	44	12	∈	∈	PROPN
ejpam-4748	44	13	s.	s.	PROPN
ejpam-4748	44	14	the	the	DET
ejpam-4748	44	15	minimum	minimum	ADJ
ejpam-4748	44	16	cardinality	cardinality	NOUN
ejpam-4748	44	17	of	of	ADP
ejpam-4748	44	18	a	a	DET
ejpam-4748	44	19	stable	stable	ADJ
ejpam-4748	44	20	locating	locating	NOUN
ejpam-4748	44	21	dominating	dominating	NOUN
ejpam-4748	44	22	(	(	PUNCT
ejpam-4748	44	23	resp	resp	NOUN
ejpam-4748	44	24	.	.	PUNCT
ejpam-4748	45	1	stable	stable	ADJ
ejpam-4748	45	2	strictly	strictly	ADV
ejpam-4748	45	3	locating	locate	VERB
ejpam-4748	45	4	-	-	PUNCT
ejpam-4748	45	5	dominating	dominating	NOUN
ejpam-4748	45	6	)	)	PUNCT
ejpam-4748	45	7	set	set	NOUN
ejpam-4748	45	8	of	of	ADP
ejpam-4748	45	9	g	g	NOUN
ejpam-4748	45	10	,	,	PUNCT
ejpam-4748	45	11	denoted	denote	VERB
ejpam-4748	45	12	by	by	ADP
ejpam-4748	45	13	γsl	γsl	PROPN
ejpam-4748	45	14	(	(	PUNCT
ejpam-4748	45	15	g	g	NOUN
ejpam-4748	45	16	)	)	PUNCT
ejpam-4748	45	17	(	(	PUNCT
ejpam-4748	45	18	resp	resp	NOUN
ejpam-4748	45	19	.	.	PUNCT
ejpam-4748	46	1	γssl(g	γssl(g	NOUN
ejpam-4748	46	2	)	)	PUNCT
ejpam-4748	46	3	)	)	PUNCT
ejpam-4748	46	4	,	,	PUNCT
ejpam-4748	46	5	is	be	AUX
ejpam-4748	46	6	called	call	VERB
ejpam-4748	46	7	the	the	DET
ejpam-4748	46	8	stable	stable	ADJ
ejpam-4748	46	9	locating	locating	NOUN
ejpam-4748	46	10	-	-	PUNCT
ejpam-4748	46	11	domination	domination	NOUN
ejpam-4748	46	12	(	(	PUNCT
ejpam-4748	46	13	resp	resp	NOUN
ejpam-4748	46	14	.	.	PUNCT
ejpam-4748	47	1	stable	stable	ADJ
ejpam-4748	47	2	strictly	strictly	ADV
ejpam-4748	47	3	locating	locate	VERB
ejpam-4748	47	4	-	-	PUNCT
ejpam-4748	47	5	domination	domination	NOUN
ejpam-4748	47	6	)	)	PUNCT
ejpam-4748	47	7	number	number	NOUN
ejpam-4748	47	8	of	of	ADP
ejpam-4748	47	9	g.	g.	PROPN
ejpam-4748	47	10	a	a	DET
ejpam-4748	47	11	stable	stable	ADJ
ejpam-4748	47	12	locating	locating	NOUN
ejpam-4748	47	13	-	-	PUNCT
ejpam-4748	47	14	dominating	dominating	NOUN
ejpam-4748	47	15	(	(	PUNCT
ejpam-4748	47	16	resp	resp	NOUN
ejpam-4748	47	17	.	.	PUNCT
ejpam-4748	48	1	stable	stable	ADJ
ejpam-4748	48	2	strictly	strictly	ADV
ejpam-4748	48	3	locating	locate	VERB
ejpam-4748	48	4	-	-	PUNCT
ejpam-4748	48	5	dominating	dominating	NOUN
ejpam-4748	48	6	)	)	PUNCT
ejpam-4748	48	7	set	set	NOUN
ejpam-4748	48	8	of	of	ADP
ejpam-4748	48	9	g	g	NOUN
ejpam-4748	48	10	with	with	ADP
ejpam-4748	48	11	cardinality	cardinality	NOUN
ejpam-4748	48	12	γsl	γsl	PROPN
ejpam-4748	48	13	(	(	PUNCT
ejpam-4748	48	14	g	g	NOUN
ejpam-4748	48	15	)	)	PUNCT
ejpam-4748	48	16	(	(	PUNCT
ejpam-4748	48	17	resp	resp	NOUN
ejpam-4748	48	18	.	.	PUNCT
ejpam-4748	49	1	γssl(g	γssl(g	NOUN
ejpam-4748	49	2	)	)	PUNCT
ejpam-4748	49	3	)	)	PUNCT
ejpam-4748	49	4	is	be	AUX
ejpam-4748	49	5	called	call	VERB
ejpam-4748	49	6	γsl	γsl	NOUN
ejpam-4748	49	7	-set	-set	PUNCT
ejpam-4748	49	8	(	(	PUNCT
ejpam-4748	49	9	resp	resp	NOUN
ejpam-4748	49	10	.	.	PUNCT
ejpam-4748	50	1	γssl	γssl	PROPN
ejpam-4748	50	2	-	-	PUNCT
ejpam-4748	50	3	set	set	NOUN
ejpam-4748	50	4	)	)	PUNCT
ejpam-4748	50	5	of	of	ADP
ejpam-4748	50	6	g.	g.	PROPN
ejpam-4748	50	7	a	a	DET
ejpam-4748	50	8	locating	locate	VERB
ejpam-4748	50	9	-	-	PUNCT
ejpam-4748	50	10	dominating	dominating	NOUN
ejpam-4748	50	11	set	set	NOUN
ejpam-4748	50	12	s	s	PROPN
ejpam-4748	50	13	of	of	ADP
ejpam-4748	50	14	a	a	DET
ejpam-4748	50	15	graph	graph	NOUN
ejpam-4748	50	16	g	g	NOUN
ejpam-4748	50	17	is	be	AUX
ejpam-4748	50	18	a	a	DET
ejpam-4748	50	19	global	global	ADJ
ejpam-4748	50	20	locating	locate	VERB
ejpam-4748	50	21	-	-	PUNCT
ejpam-4748	50	22	dominating	dominating	NOUN
ejpam-4748	50	23	set	set	NOUN
ejpam-4748	50	24	if	if	SCONJ
ejpam-4748	50	25	it	it	PRON
ejpam-4748	50	26	is	be	AUX
ejpam-4748	50	27	a	a	DET
ejpam-4748	50	28	locating	locate	VERB
ejpam-4748	50	29	-	-	PUNCT
ejpam-4748	50	30	dominating	dominate	VERB
ejpam-4748	50	31	set	set	NOUN
ejpam-4748	50	32	of	of	ADP
ejpam-4748	50	33	both	both	CCONJ
ejpam-4748	50	34	g	g	PROPN
ejpam-4748	50	35	and	and	CCONJ
ejpam-4748	50	36	its	its	PRON
ejpam-4748	50	37	complement	complement	NOUN
ejpam-4748	50	38	,	,	PUNCT
ejpam-4748	50	39	g.	g.	PROPN
ejpam-4748	50	40	the	the	DET
ejpam-4748	50	41	global	global	ADJ
ejpam-4748	50	42	locating	locate	VERB
ejpam-4748	50	43	-	-	PUNCT
ejpam-4748	50	44	domination	domination	NOUN
ejpam-4748	50	45	number	number	NOUN
ejpam-4748	50	46	λg(g	λg(g	PUNCT
ejpam-4748	50	47	)	)	PUNCT
ejpam-4748	51	1	is	be	AUX
ejpam-4748	51	2	the	the	DET
ejpam-4748	51	3	minimum	minimum	ADJ
ejpam-4748	51	4	cardinality	cardinality	NOUN
ejpam-4748	51	5	of	of	ADP
ejpam-4748	51	6	a	a	DET
ejpam-4748	51	7	global	global	ADJ
ejpam-4748	51	8	locating	locate	VERB
ejpam-4748	51	9	-	-	PUNCT
ejpam-4748	51	10	dominating	dominate	VERB
ejpam-4748	51	11	set	set	NOUN
ejpam-4748	51	12	of	of	ADP
ejpam-4748	51	13	g.	g.	PROPN
ejpam-4748	52	1	a	a	DET
ejpam-4748	52	2	set	set	NOUN
ejpam-4748	52	3	s	s	NOUN
ejpam-4748	52	4	in	in	ADP
ejpam-4748	52	5	g	g	PROPN
ejpam-4748	52	6	is	be	AUX
ejpam-4748	52	7	a	a	DET
ejpam-4748	52	8	global	global	ADJ
ejpam-4748	52	9	stable	stable	ADJ
ejpam-4748	52	10	locating	locating	NOUN
ejpam-4748	52	11	-	-	PUNCT
ejpam-4748	52	12	dominating	dominating	NOUN
ejpam-4748	52	13	(	(	PUNCT
ejpam-4748	52	14	resp	resp	NOUN
ejpam-4748	52	15	.	.	PUNCT
ejpam-4748	53	1	global	global	ADJ
ejpam-4748	53	2	stable	stable	ADJ
ejpam-4748	53	3	strictly	strictly	ADV
ejpam-4748	53	4	locatingdominating	locatingdominate	VERB
ejpam-4748	53	5	)	)	PUNCT
ejpam-4748	53	6	set	set	VERB
ejpam-4748	53	7	in	in	ADP
ejpam-4748	53	8	g	g	PROPN
ejpam-4748	53	9	if	if	SCONJ
ejpam-4748	53	10	s	s	VERB
ejpam-4748	53	11	is	be	AUX
ejpam-4748	53	12	a	a	DET
ejpam-4748	53	13	stable	stable	ADJ
ejpam-4748	53	14	locating	locating	NOUN
ejpam-4748	53	15	-	-	PUNCT
ejpam-4748	53	16	dominating	dominating	NOUN
ejpam-4748	53	17	(	(	PUNCT
ejpam-4748	53	18	resp	resp	NOUN
ejpam-4748	53	19	.	.	PUNCT
ejpam-4748	54	1	stable	stable	ADJ
ejpam-4748	54	2	strictly	strictly	ADV
ejpam-4748	54	3	locatingdominating	locatingdominate	VERB
ejpam-4748	54	4	)	)	PUNCT
ejpam-4748	54	5	set	set	VERB
ejpam-4748	54	6	ing	ing	NOUN
ejpam-4748	54	7	and	and	CCONJ
ejpam-4748	54	8	in	in	ADP
ejpam-4748	54	9	its	its	PRON
ejpam-4748	54	10	complement	complement	NOUN
ejpam-4748	54	11	,	,	PUNCT
ejpam-4748	54	12	g.	g.	PROPN
ejpam-4748	54	13	the	the	DET
ejpam-4748	54	14	minimum	minimum	ADJ
ejpam-4748	54	15	cardinality	cardinality	NOUN
ejpam-4748	54	16	of	of	ADP
ejpam-4748	54	17	a	a	DET
ejpam-4748	54	18	global	global	ADJ
ejpam-4748	54	19	stable	stable	ADJ
ejpam-4748	54	20	locating	locating	NOUN
ejpam-4748	54	21	-	-	PUNCT
ejpam-4748	54	22	dominating	dominating	NOUN
ejpam-4748	54	23	(	(	PUNCT
ejpam-4748	54	24	resp	resp	NOUN
ejpam-4748	54	25	.	.	PUNCT
ejpam-4748	55	1	global	global	ADJ
ejpam-4748	55	2	stable	stable	ADJ
ejpam-4748	55	3	strictly	strictly	ADV
ejpam-4748	55	4	locating	locate	VERB
ejpam-4748	55	5	-	-	PUNCT
ejpam-4748	55	6	dominating	dominating	NOUN
ejpam-4748	55	7	)	)	PUNCT
ejpam-4748	55	8	set	set	NOUN
ejpam-4748	55	9	of	of	ADP
ejpam-4748	55	10	g	g	NOUN
ejpam-4748	55	11	,	,	PUNCT
ejpam-4748	55	12	denoted	denote	VERB
ejpam-4748	55	13	by	by	ADP
ejpam-4748	55	14	λs	λs	NOUN
ejpam-4748	55	15	gl(g	gl(g	NUM
ejpam-4748	55	16	)	)	PUNCT
ejpam-4748	55	17	(	(	PUNCT
ejpam-4748	55	18	resp	resp	NOUN
ejpam-4748	55	19	.	.	PUNCT
ejpam-4748	56	1	λs	λs	ADP
ejpam-4748	56	2	gsl(g	gsl(g	PROPN
ejpam-4748	56	3	)	)	PUNCT
ejpam-4748	56	4	)	)	PUNCT
ejpam-4748	57	1	,	,	PUNCT
ejpam-4748	57	2	is	be	AUX
ejpam-4748	57	3	called	call	VERB
ejpam-4748	57	4	the	the	DET
ejpam-4748	57	5	global	global	ADJ
ejpam-4748	57	6	stable	stable	ADJ
ejpam-4748	57	7	locating	locating	NOUN
ejpam-4748	57	8	-	-	PUNCT
ejpam-4748	57	9	domination	domination	NOUN
ejpam-4748	57	10	(	(	PUNCT
ejpam-4748	57	11	resp	resp	NOUN
ejpam-4748	57	12	.	.	PUNCT
ejpam-4748	58	1	global	global	ADJ
ejpam-4748	58	2	stable	stable	ADJ
ejpam-4748	58	3	strictly	strictly	ADV
ejpam-4748	58	4	locating	locate	VERB
ejpam-4748	58	5	-	-	PUNCT
ejpam-4748	58	6	domination	domination	NOUN
ejpam-4748	58	7	)	)	PUNCT
ejpam-4748	58	8	number	number	NOUN
ejpam-4748	58	9	of	of	ADP
ejpam-4748	58	10	g.	g.	PROPN
ejpam-4748	58	11	a	a	DET
ejpam-4748	58	12	global	global	ADJ
ejpam-4748	58	13	stable	stable	ADJ
ejpam-4748	58	14	locating	locating	NOUN
ejpam-4748	58	15	-	-	PUNCT
ejpam-4748	58	16	dominating	dominating	NOUN
ejpam-4748	58	17	(	(	PUNCT
ejpam-4748	58	18	resp	resp	NOUN
ejpam-4748	58	19	.	.	PUNCT
ejpam-4748	59	1	m.	m.	PROPN
ejpam-4748	59	2	ortega	ortega	PROPN
ejpam-4748	59	3	,	,	PUNCT
ejpam-4748	59	4	g.	g.	PROPN
ejpam-4748	59	5	malacas	malacas	PROPN
ejpam-4748	59	6	,	,	PUNCT
ejpam-4748	59	7	s.	s.	PROPN
ejpam-4748	59	8	canoy	canoy	PROPN
ejpam-4748	59	9	,	,	PUNCT
ejpam-4748	59	10	jr	jr	PROPN
ejpam-4748	59	11	.	.	PROPN
ejpam-4748	59	12	/	/	SYM
ejpam-4748	59	13	eur	eur	PROPN
ejpam-4748	59	14	.	.	PUNCT
ejpam-4748	60	1	j.	j.	PROPN
ejpam-4748	60	2	pure	pure	PROPN
ejpam-4748	60	3	appl	appl	PROPN
ejpam-4748	60	4	.	.	PROPN
ejpam-4748	60	5	math	math	PROPN
ejpam-4748	60	6	,	,	PUNCT
ejpam-4748	60	7	16	16	NUM
ejpam-4748	60	8	(	(	PUNCT
ejpam-4748	60	9	3	3	NUM
ejpam-4748	60	10	)	)	PUNCT
ejpam-4748	60	11	(	(	PUNCT
ejpam-4748	60	12	2023	2023	NUM
ejpam-4748	60	13	)	)	PUNCT
ejpam-4748	60	14	,	,	PUNCT
ejpam-4748	60	15	1685	1685	NUM
ejpam-4748	60	16	-	-	SYM
ejpam-4748	60	17	1694	1694	NUM
ejpam-4748	60	18	1687	1687	NUM
ejpam-4748	60	19	global	global	ADJ
ejpam-4748	60	20	stable	stable	ADJ
ejpam-4748	60	21	strictly	strictly	ADV
ejpam-4748	60	22	locating	locate	VERB
ejpam-4748	60	23	-	-	PUNCT
ejpam-4748	60	24	dominating	dominating	NOUN
ejpam-4748	60	25	)	)	PUNCT
ejpam-4748	60	26	set	set	NOUN
ejpam-4748	60	27	of	of	ADP
ejpam-4748	60	28	g	g	NOUN
ejpam-4748	60	29	with	with	ADP
ejpam-4748	60	30	cardinality	cardinality	NOUN
ejpam-4748	60	31	λs	λs	ADP
ejpam-4748	60	32	gl(g	gl(g	PROPN
ejpam-4748	60	33	)	)	PUNCT
ejpam-4748	60	34	(	(	PUNCT
ejpam-4748	60	35	resp	resp	NOUN
ejpam-4748	60	36	.	.	PUNCT
ejpam-4748	61	1	λs	λs	ADP
ejpam-4748	61	2	gsl(g	gsl(g	PROPN
ejpam-4748	61	3	)	)	PUNCT
ejpam-4748	61	4	)	)	PUNCT
ejpam-4748	62	1	is	be	AUX
ejpam-4748	62	2	called	call	VERB
ejpam-4748	62	3	a	a	DET
ejpam-4748	62	4	λs	λs	X
ejpam-4748	62	5	gl	gl	NOUN
ejpam-4748	62	6	-	-	NOUN
ejpam-4748	62	7	set	set	ADJ
ejpam-4748	62	8	(	(	PUNCT
ejpam-4748	62	9	resp	resp	NOUN
ejpam-4748	62	10	.	.	PUNCT
ejpam-4748	63	1	λs	λs	ADP
ejpam-4748	63	2	gsl	gsl	PROPN
ejpam-4748	63	3	-	-	PUNCT
ejpam-4748	63	4	set	set	NOUN
ejpam-4748	63	5	)	)	PUNCT
ejpam-4748	63	6	of	of	ADP
ejpam-4748	63	7	g.	g.	PROPN
ejpam-4748	63	8	let	let	VERB
ejpam-4748	63	9	g	g	NOUN
ejpam-4748	63	10	and	and	CCONJ
ejpam-4748	63	11	h	h	NOUN
ejpam-4748	63	12	be	be	VERB
ejpam-4748	63	13	two	two	NUM
ejpam-4748	63	14	graphs	graph	NOUN
ejpam-4748	63	15	.	.	PUNCT
ejpam-4748	64	1	the	the	DET
ejpam-4748	64	2	join	join	NOUN
ejpam-4748	64	3	g+h	g+h	PROPN
ejpam-4748	64	4	of	of	ADP
ejpam-4748	64	5	g	g	PROPN
ejpam-4748	64	6	and	and	CCONJ
ejpam-4748	64	7	h	h	NOUN
ejpam-4748	64	8	is	be	AUX
ejpam-4748	64	9	the	the	DET
ejpam-4748	64	10	graph	graph	NOUN
ejpam-4748	64	11	with	with	ADP
ejpam-4748	64	12	vertex	vertex	NOUN
ejpam-4748	64	13	-	-	PUNCT
ejpam-4748	64	14	set	set	VERB
ejpam-4748	64	15	v	v	NOUN
ejpam-4748	64	16	(	(	PUNCT
ejpam-4748	64	17	g	g	PROPN
ejpam-4748	64	18	+	+	NOUN
ejpam-4748	64	19	h	h	NOUN
ejpam-4748	64	20	)	)	PUNCT
ejpam-4748	65	1	=	=	NOUN
ejpam-4748	65	2	v	v	X
ejpam-4748	65	3	(	(	PUNCT
ejpam-4748	65	4	g	g	NOUN
ejpam-4748	65	5	)	)	PUNCT
ejpam-4748	65	6	•	•	ADP
ejpam-4748	65	7	∪	∪	X
ejpam-4748	65	8	v	v	NOUN
ejpam-4748	65	9	(	(	PUNCT
ejpam-4748	65	10	h	h	NOUN
ejpam-4748	65	11	)	)	PUNCT
ejpam-4748	65	12	and	and	CCONJ
ejpam-4748	65	13	edge	edge	NOUN
ejpam-4748	65	14	-	-	PUNCT
ejpam-4748	65	15	set	set	VERB
ejpam-4748	65	16	e(g	e(g	NOUN
ejpam-4748	65	17	+	+	NOUN
ejpam-4748	65	18	h	h	NOUN
ejpam-4748	65	19	)	)	PUNCT
ejpam-4748	65	20	=	=	SYM
ejpam-4748	65	21	e(g	e(g	PROPN
ejpam-4748	65	22	)	)	PUNCT
ejpam-4748	65	23	•	•	ADP
ejpam-4748	65	24	∪	∪	ADP
ejpam-4748	65	25	e(h	e(h	PROPN
ejpam-4748	65	26	)	)	PUNCT
ejpam-4748	65	27	∪	∪	NOUN
ejpam-4748	65	28	{	{	PUNCT
ejpam-4748	65	29	uv	uv	NOUN
ejpam-4748	65	30	:	:	PUNCT
ejpam-4748	65	31	u	u	PROPN
ejpam-4748	65	32	∈	∈	PROPN
ejpam-4748	65	33	v	v	ADP
ejpam-4748	65	34	(	(	PUNCT
ejpam-4748	65	35	g	g	NOUN
ejpam-4748	65	36	)	)	PUNCT
ejpam-4748	65	37	,	,	PUNCT
ejpam-4748	65	38	v	v	X
ejpam-4748	65	39	∈	∈	PROPN
ejpam-4748	65	40	v	v	NOUN
ejpam-4748	65	41	(	(	PUNCT
ejpam-4748	65	42	h	h	NOUN
ejpam-4748	65	43	)	)	PUNCT
ejpam-4748	65	44	}	}	PUNCT
ejpam-4748	65	45	.	.	PUNCT
ejpam-4748	66	1	the	the	DET
ejpam-4748	66	2	edge	edge	NOUN
ejpam-4748	66	3	corona	corona	NOUN
ejpam-4748	66	4	g	g	PROPN
ejpam-4748	66	5	⋄h	⋄h	NOUN
ejpam-4748	66	6	of	of	ADP
ejpam-4748	66	7	g	g	PROPN
ejpam-4748	66	8	and	and	CCONJ
ejpam-4748	66	9	h	h	NOUN
ejpam-4748	66	10	is	be	AUX
ejpam-4748	66	11	the	the	DET
ejpam-4748	66	12	graph	graph	NOUN
ejpam-4748	66	13	obtained	obtain	VERB
ejpam-4748	66	14	by	by	ADP
ejpam-4748	66	15	taking	take	VERB
ejpam-4748	66	16	one	one	NUM
ejpam-4748	66	17	copy	copy	NOUN
ejpam-4748	66	18	of	of	ADP
ejpam-4748	66	19	g	g	PROPN
ejpam-4748	66	20	and	and	CCONJ
ejpam-4748	66	21	|e(g)|	|e(g)|	ADJ
ejpam-4748	66	22	copies	copy	NOUN
ejpam-4748	66	23	of	of	ADP
ejpam-4748	66	24	h	h	NOUN
ejpam-4748	66	25	and	and	CCONJ
ejpam-4748	66	26	joining	join	VERB
ejpam-4748	66	27	each	each	PRON
ejpam-4748	66	28	of	of	ADP
ejpam-4748	66	29	end	end	NOUN
ejpam-4748	66	30	vertices	vertice	VERB
ejpam-4748	66	31	u	u	NOUN
ejpam-4748	66	32	and	and	CCONJ
ejpam-4748	66	33	v	v	NOUN
ejpam-4748	66	34	of	of	ADP
ejpam-4748	66	35	every	every	DET
ejpam-4748	66	36	edge	edge	NOUN
ejpam-4748	66	37	uv	uv	NOUN
ejpam-4748	66	38	of	of	ADP
ejpam-4748	66	39	g	g	NOUN
ejpam-4748	66	40	to	to	ADP
ejpam-4748	66	41	every	every	DET
ejpam-4748	66	42	vertex	vertex	NOUN
ejpam-4748	66	43	of	of	ADP
ejpam-4748	66	44	the	the	DET
ejpam-4748	66	45	copy	copy	NOUN
ejpam-4748	66	46	huv	huv	PROPN
ejpam-4748	66	47	of	of	ADP
ejpam-4748	66	48	h	h	PROPN
ejpam-4748	66	49	(	(	PUNCT
ejpam-4748	66	50	that	that	ADV
ejpam-4748	66	51	is	is	ADV
ejpam-4748	66	52	,	,	PUNCT
ejpam-4748	66	53	forming	form	VERB
ejpam-4748	66	54	the	the	DET
ejpam-4748	66	55	join	join	NOUN
ejpam-4748	66	56	⟨{u	⟨{u	PROPN
ejpam-4748	66	57	,	,	PUNCT
ejpam-4748	66	58	v}⟩+huv	v}⟩+huv	NOUN
ejpam-4748	66	59	for	for	ADP
ejpam-4748	66	60	each	each	DET
ejpam-4748	66	61	uv	uv	PROPN
ejpam-4748	66	62	∈	∈	PROPN
ejpam-4748	66	63	e(g	e(g	PROPN
ejpam-4748	66	64	)	)	PUNCT
ejpam-4748	66	65	)	)	PUNCT
ejpam-4748	66	66	.	.	PUNCT
ejpam-4748	67	1	the	the	DET
ejpam-4748	67	2	corona	corona	NOUN
ejpam-4748	67	3	g	g	PROPN
ejpam-4748	67	4	◦	◦	NOUN
ejpam-4748	67	5	h	h	NOUN
ejpam-4748	67	6	of	of	ADP
ejpam-4748	67	7	g	g	PROPN
ejpam-4748	67	8	and	and	CCONJ
ejpam-4748	67	9	h	h	NOUN
ejpam-4748	67	10	is	be	AUX
ejpam-4748	67	11	the	the	DET
ejpam-4748	67	12	graph	graph	NOUN
ejpam-4748	67	13	obtained	obtain	VERB
ejpam-4748	67	14	by	by	ADP
ejpam-4748	67	15	taking	take	VERB
ejpam-4748	67	16	one	one	NUM
ejpam-4748	67	17	copy	copy	NOUN
ejpam-4748	67	18	of	of	ADP
ejpam-4748	67	19	g	g	NOUN
ejpam-4748	67	20	of	of	ADP
ejpam-4748	67	21	order	order	NOUN
ejpam-4748	67	22	n	n	NOUN
ejpam-4748	67	23	and	and	CCONJ
ejpam-4748	67	24	n	n	PRON
ejpam-4748	67	25	copies	copy	NOUN
ejpam-4748	67	26	of	of	ADP
ejpam-4748	67	27	h	h	NOUN
ejpam-4748	67	28	,	,	PUNCT
ejpam-4748	67	29	and	and	CCONJ
ejpam-4748	67	30	then	then	ADV
ejpam-4748	67	31	joining	join	VERB
ejpam-4748	67	32	the	the	DET
ejpam-4748	67	33	i	i	PROPN
ejpam-4748	67	34	-	-	PUNCT
ejpam-4748	67	35	th	th	X
ejpam-4748	67	36	vertex	vertex	NOUN
ejpam-4748	67	37	of	of	ADP
ejpam-4748	67	38	g	g	NOUN
ejpam-4748	67	39	to	to	ADP
ejpam-4748	67	40	every	every	DET
ejpam-4748	67	41	vertex	vertex	NOUN
ejpam-4748	67	42	in	in	ADP
ejpam-4748	67	43	the	the	DET
ejpam-4748	67	44	i	i	PROPN
ejpam-4748	67	45	-	-	PUNCT
ejpam-4748	67	46	th	th	PROPN
ejpam-4748	67	47	copy	copy	NOUN
ejpam-4748	67	48	of	of	ADP
ejpam-4748	67	49	h.	h.	PROPN
ejpam-4748	67	50	for	for	ADP
ejpam-4748	67	51	every	every	DET
ejpam-4748	67	52	v	v	NUM
ejpam-4748	67	53	∈	∈	PROPN
ejpam-4748	67	54	v	v	NOUN
ejpam-4748	67	55	(	(	PUNCT
ejpam-4748	67	56	g	g	NOUN
ejpam-4748	67	57	)	)	PUNCT
ejpam-4748	67	58	,	,	PUNCT
ejpam-4748	67	59	we	we	PRON
ejpam-4748	67	60	denote	denote	VERB
ejpam-4748	67	61	by	by	ADP
ejpam-4748	67	62	hv	hv	PROPN
ejpam-4748	68	1	the	the	DET
ejpam-4748	68	2	copy	copy	NOUN
ejpam-4748	68	3	of	of	ADP
ejpam-4748	68	4	h	h	NOUN
ejpam-4748	68	5	whose	whose	DET
ejpam-4748	68	6	vertices	vertex	NOUN
ejpam-4748	68	7	are	be	AUX
ejpam-4748	68	8	joined	join	VERB
ejpam-4748	68	9	or	or	CCONJ
ejpam-4748	68	10	attached	attach	VERB
ejpam-4748	68	11	to	to	ADP
ejpam-4748	68	12	the	the	DET
ejpam-4748	68	13	vertex	vertex	NOUN
ejpam-4748	68	14	v.	v.	CCONJ
ejpam-4748	68	15	for	for	ADP
ejpam-4748	68	16	each	each	PRON
ejpam-4748	68	17	v	v	NUM
ejpam-4748	68	18	∈	∈	PROPN
ejpam-4748	68	19	v	v	NOUN
ejpam-4748	68	20	(	(	PUNCT
ejpam-4748	68	21	g	g	NOUN
ejpam-4748	68	22	)	)	PUNCT
ejpam-4748	68	23	,	,	PUNCT
ejpam-4748	68	24	the	the	DET
ejpam-4748	68	25	subgraph	subgraph	NOUN
ejpam-4748	68	26	⟨v⟩	⟨v⟩	PROPN
ejpam-4748	69	1	+	+	CCONJ
ejpam-4748	69	2	hv	hv	NOUN
ejpam-4748	69	3	of	of	ADP
ejpam-4748	69	4	g	g	PROPN
ejpam-4748	69	5	◦	◦	NOUN
ejpam-4748	69	6	h	h	NOUN
ejpam-4748	69	7	will	will	AUX
ejpam-4748	69	8	be	be	AUX
ejpam-4748	69	9	denoted	denote	VERB
ejpam-4748	69	10	by	by	ADP
ejpam-4748	69	11	v+hv	v+hv	PROPN
ejpam-4748	69	12	.	.	PUNCT
ejpam-4748	70	1	the	the	DET
ejpam-4748	70	2	lexicographic	lexicographic	ADJ
ejpam-4748	70	3	product	product	NOUN
ejpam-4748	70	4	g[h	g[h	PROPN
ejpam-4748	70	5	]	]	PUNCT
ejpam-4748	70	6	of	of	ADP
ejpam-4748	70	7	g	g	PROPN
ejpam-4748	70	8	and	and	CCONJ
ejpam-4748	70	9	h	h	NOUN
ejpam-4748	70	10	is	be	AUX
ejpam-4748	70	11	the	the	DET
ejpam-4748	70	12	graph	graph	NOUN
ejpam-4748	70	13	with	with	ADP
ejpam-4748	70	14	vertex	vertex	NOUN
ejpam-4748	70	15	-	-	PUNCT
ejpam-4748	70	16	set	set	VERB
ejpam-4748	70	17	v	v	NOUN
ejpam-4748	70	18	(	(	PUNCT
ejpam-4748	70	19	g[h	g[h	PROPN
ejpam-4748	70	20	]	]	PUNCT
ejpam-4748	70	21	)	)	PUNCT
ejpam-4748	71	1	=	=	SYM
ejpam-4748	71	2	v	v	X
ejpam-4748	71	3	(	(	PUNCT
ejpam-4748	71	4	g	g	NOUN
ejpam-4748	71	5	)	)	PUNCT
ejpam-4748	71	6	×	×	NOUN
ejpam-4748	71	7	v	v	NOUN
ejpam-4748	71	8	(	(	PUNCT
ejpam-4748	71	9	h	h	NOUN
ejpam-4748	71	10	)	)	PUNCT
ejpam-4748	71	11	and	and	CCONJ
ejpam-4748	71	12	edge	edge	NOUN
ejpam-4748	71	13	-	-	PUNCT
ejpam-4748	71	14	set	set	VERB
ejpam-4748	71	15	e(g[h	e(g[h	NOUN
ejpam-4748	71	16	]	]	PUNCT
ejpam-4748	71	17	)	)	PUNCT
ejpam-4748	71	18	satisfying	satisfy	VERB
ejpam-4748	71	19	the	the	DET
ejpam-4748	71	20	following	follow	VERB
ejpam-4748	71	21	conditions	condition	NOUN
ejpam-4748	71	22	:	:	PUNCT
ejpam-4748	71	23	(	(	PUNCT
ejpam-4748	71	24	u1	u1	PROPN
ejpam-4748	71	25	,	,	PUNCT
ejpam-4748	71	26	v1)(u2	v1)(u2	PROPN
ejpam-4748	71	27	,	,	PUNCT
ejpam-4748	71	28	v2	v2	PROPN
ejpam-4748	71	29	)	)	PUNCT
ejpam-4748	71	30	∈	∈	NOUN
ejpam-4748	71	31	e(g[h	e(g[h	NOUN
ejpam-4748	71	32	]	]	PUNCT
ejpam-4748	71	33	)	)	PUNCT
ejpam-4748	72	1	if	if	SCONJ
ejpam-4748	72	2	and	and	CCONJ
ejpam-4748	72	3	only	only	ADV
ejpam-4748	72	4	if	if	SCONJ
ejpam-4748	72	5	either	either	PRON
ejpam-4748	72	6	u1u2	u1u2	PROPN
ejpam-4748	72	7	∈	∈	PROPN
ejpam-4748	72	8	e(g	e(g	PROPN
ejpam-4748	72	9	)	)	PUNCT
ejpam-4748	72	10	or	or	CCONJ
ejpam-4748	72	11	u1	u1	NOUN
ejpam-4748	72	12	=	=	SYM
ejpam-4748	72	13	u2	u2	PROPN
ejpam-4748	72	14	and	and	CCONJ
ejpam-4748	72	15	v1v2	v1v2	PUNCT
ejpam-4748	72	16	∈	∈	PROPN
ejpam-4748	72	17	e(h	e(h	PROPN
ejpam-4748	72	18	)	)	PUNCT
ejpam-4748	72	19	.	.	PUNCT
ejpam-4748	73	1	3	3	X
ejpam-4748	73	2	.	.	NOUN
ejpam-4748	73	3	results	result	VERB
ejpam-4748	73	4	the	the	DET
ejpam-4748	73	5	first	first	ADJ
ejpam-4748	73	6	result	result	NOUN
ejpam-4748	73	7	gives	give	VERB
ejpam-4748	73	8	the	the	DET
ejpam-4748	73	9	correct	correct	ADJ
ejpam-4748	73	10	version	version	NOUN
ejpam-4748	73	11	of	of	ADP
ejpam-4748	73	12	the	the	DET
ejpam-4748	73	13	one	one	NOUN
ejpam-4748	73	14	found	find	VERB
ejpam-4748	73	15	in	in	ADP
ejpam-4748	73	16	[	[	X
ejpam-4748	73	17	1	1	NUM
ejpam-4748	73	18	]	]	PUNCT
ejpam-4748	73	19	.	.	PUNCT
ejpam-4748	74	1	proposition	proposition	NOUN
ejpam-4748	74	2	1	1	NUM
ejpam-4748	74	3	.	.	PUNCT
ejpam-4748	75	1	let	let	VERB
ejpam-4748	75	2	g	g	PRON
ejpam-4748	75	3	be	be	AUX
ejpam-4748	75	4	a	a	DET
ejpam-4748	75	5	non	non	ADJ
ejpam-4748	75	6	-	-	ADJ
ejpam-4748	75	7	trivial	trivial	ADJ
ejpam-4748	75	8	graph	graph	NOUN
ejpam-4748	75	9	.	.	PUNCT
ejpam-4748	76	1	then	then	ADV
ejpam-4748	76	2	g	g	PROPN
ejpam-4748	76	3	admits	admit	VERB
ejpam-4748	76	4	a	a	DET
ejpam-4748	76	5	stable	stable	ADJ
ejpam-4748	76	6	locating	locating	NOUN
ejpam-4748	76	7	-	-	PUNCT
ejpam-4748	76	8	dominating	dominating	NOUN
ejpam-4748	76	9	set	set	NOUN
ejpam-4748	76	10	if	if	SCONJ
ejpam-4748	76	11	and	and	CCONJ
ejpam-4748	76	12	only	only	ADV
ejpam-4748	76	13	if	if	SCONJ
ejpam-4748	76	14	g	g	PROPN
ejpam-4748	76	15	has	have	VERB
ejpam-4748	76	16	no	no	DET
ejpam-4748	76	17	isolated	isolated	ADJ
ejpam-4748	76	18	vertices	vertex	NOUN
ejpam-4748	76	19	.	.	PUNCT
ejpam-4748	77	1	if	if	SCONJ
ejpam-4748	77	2	g	g	PROPN
ejpam-4748	77	3	has	have	VERB
ejpam-4748	77	4	no	no	DET
ejpam-4748	77	5	isolated	isolated	ADJ
ejpam-4748	77	6	vertices	vertex	NOUN
ejpam-4748	77	7	,	,	PUNCT
ejpam-4748	77	8	then	then	ADV
ejpam-4748	77	9	2	2	NUM
ejpam-4748	77	10	≤	≤	NOUN
ejpam-4748	77	11	γsl	γsl	NOUN
ejpam-4748	77	12	(	(	PUNCT
ejpam-4748	77	13	g	g	NOUN
ejpam-4748	77	14	)	)	PUNCT
ejpam-4748	77	15	≤	≤	NOUN
ejpam-4748	77	16	|v	|v	X
ejpam-4748	77	17	(	(	PUNCT
ejpam-4748	77	18	g)|	g)|	PROPN
ejpam-4748	77	19	.	.	PUNCT
ejpam-4748	78	1	moreover	moreover	ADV
ejpam-4748	78	2	,	,	PUNCT
ejpam-4748	78	3	the	the	DET
ejpam-4748	78	4	following	follow	VERB
ejpam-4748	78	5	statements	statement	NOUN
ejpam-4748	78	6	hold	hold	VERB
ejpam-4748	78	7	:	:	PUNCT
ejpam-4748	78	8	(	(	PUNCT
ejpam-4748	78	9	i	i	NOUN
ejpam-4748	78	10	)	)	PUNCT
ejpam-4748	78	11	γsl	γsl	VERB
ejpam-4748	78	12	(	(	PUNCT
ejpam-4748	78	13	g	g	NOUN
ejpam-4748	78	14	)	)	PUNCT
ejpam-4748	78	15	=	=	SYM
ejpam-4748	78	16	2	2	NUM
ejpam-4748	78	17	if	if	SCONJ
ejpam-4748	78	18	and	and	CCONJ
ejpam-4748	78	19	only	only	ADV
ejpam-4748	78	20	if	if	SCONJ
ejpam-4748	78	21	g	g	PROPN
ejpam-4748	78	22	=	=	SYM
ejpam-4748	78	23	k2	k2	PROPN
ejpam-4748	78	24	.	.	PUNCT
ejpam-4748	79	1	(	(	PUNCT
ejpam-4748	79	2	ii	ii	NOUN
ejpam-4748	79	3	)	)	PUNCT
ejpam-4748	79	4	if	if	SCONJ
ejpam-4748	79	5	s	s	VERB
ejpam-4748	79	6	is	be	AUX
ejpam-4748	79	7	a	a	DET
ejpam-4748	79	8	stable	stable	ADJ
ejpam-4748	79	9	locating	locating	NOUN
ejpam-4748	79	10	-	-	PUNCT
ejpam-4748	79	11	dominating	dominate	VERB
ejpam-4748	79	12	set	set	NOUN
ejpam-4748	79	13	of	of	ADP
ejpam-4748	79	14	g	g	NOUN
ejpam-4748	79	15	,	,	PUNCT
ejpam-4748	79	16	then	then	ADV
ejpam-4748	79	17	l(g	l(g	PROPN
ejpam-4748	79	18	)	)	PUNCT
ejpam-4748	79	19	∪	∪	ADP
ejpam-4748	79	20	s(g	s(g	PROPN
ejpam-4748	79	21	)	)	PUNCT
ejpam-4748	79	22	⊆	⊆	NUM
ejpam-4748	79	23	s.	s.	PROPN
ejpam-4748	79	24	(	(	PUNCT
ejpam-4748	79	25	iii	iii	NOUN
ejpam-4748	79	26	)	)	PUNCT
ejpam-4748	79	27	γsl	γsl	NOUN
ejpam-4748	79	28	(	(	PUNCT
ejpam-4748	79	29	g	g	NOUN
ejpam-4748	79	30	)	)	PUNCT
ejpam-4748	79	31	=	=	SYM
ejpam-4748	79	32	|v	|v	PROPN
ejpam-4748	79	33	(	(	PUNCT
ejpam-4748	79	34	g)|	g)|	VERB
ejpam-4748	79	35	if	if	SCONJ
ejpam-4748	79	36	and	and	CCONJ
ejpam-4748	79	37	only	only	ADV
ejpam-4748	79	38	if	if	SCONJ
ejpam-4748	79	39	for	for	ADP
ejpam-4748	79	40	every	every	PRON
ejpam-4748	79	41	v	v	NUM
ejpam-4748	79	42	∈	∈	NOUN
ejpam-4748	79	43	v	v	NOUN
ejpam-4748	79	44	(	(	PUNCT
ejpam-4748	79	45	g	g	NOUN
ejpam-4748	79	46	)	)	PUNCT
ejpam-4748	79	47	,	,	PUNCT
ejpam-4748	79	48	v	v	ADP
ejpam-4748	79	49	∈	∈	PROPN
ejpam-4748	79	50	l(g	l(g	X
ejpam-4748	79	51	)	)	PUNCT
ejpam-4748	79	52	∪	∪	ADP
ejpam-4748	79	53	s(g	s(g	PROPN
ejpam-4748	79	54	)	)	PUNCT
ejpam-4748	79	55	or	or	CCONJ
ejpam-4748	79	56	there	there	PRON
ejpam-4748	79	57	exists	exist	VERB
ejpam-4748	79	58	w	w	PROPN
ejpam-4748	79	59	∈	∈	PROPN
ejpam-4748	79	60	v	v	ADP
ejpam-4748	79	61	(	(	PUNCT
ejpam-4748	79	62	g	g	NOUN
ejpam-4748	79	63	)	)	PUNCT
ejpam-4748	79	64	\	\	NOUN
ejpam-4748	79	65	{	{	PUNCT
ejpam-4748	79	66	v	v	NOUN
ejpam-4748	79	67	}	}	PUNCT
ejpam-4748	79	68	such	such	ADJ
ejpam-4748	79	69	that	that	SCONJ
ejpam-4748	79	70	ng(v)\{w	ng(v)\{w	NOUN
ejpam-4748	79	71	}	}	PUNCT
ejpam-4748	79	72	=	=	SYM
ejpam-4748	79	73	ng(w)\{v	ng(w)\{v	NUM
ejpam-4748	79	74	}	}	PUNCT
ejpam-4748	79	75	.	.	PUNCT
ejpam-4748	80	1	theorem	theorem	NOUN
ejpam-4748	80	2	1	1	NUM
ejpam-4748	80	3	.	.	PUNCT
ejpam-4748	81	1	let	let	VERB
ejpam-4748	81	2	g	g	PRON
ejpam-4748	81	3	be	be	AUX
ejpam-4748	81	4	a	a	DET
ejpam-4748	81	5	any	any	DET
ejpam-4748	81	6	graph	graph	NOUN
ejpam-4748	81	7	.	.	PUNCT
ejpam-4748	82	1	then	then	ADV
ejpam-4748	82	2	g	g	PROPN
ejpam-4748	82	3	admits	admit	VERB
ejpam-4748	82	4	a	a	DET
ejpam-4748	82	5	global	global	ADJ
ejpam-4748	82	6	stable	stable	ADJ
ejpam-4748	82	7	locating	locating	NOUN
ejpam-4748	82	8	-	-	PUNCT
ejpam-4748	82	9	dominating	dominating	NOUN
ejpam-4748	82	10	set	set	NOUN
ejpam-4748	82	11	if	if	SCONJ
ejpam-4748	82	12	and	and	CCONJ
ejpam-4748	82	13	only	only	ADV
ejpam-4748	82	14	if	if	SCONJ
ejpam-4748	82	15	g	g	PROPN
ejpam-4748	82	16	and	and	CCONJ
ejpam-4748	82	17	g	g	PROPN
ejpam-4748	82	18	have	have	VERB
ejpam-4748	82	19	no	no	DET
ejpam-4748	82	20	isolated	isolate	VERB
ejpam-4748	82	21	vertices	vertex	NOUN
ejpam-4748	82	22	.	.	PUNCT
ejpam-4748	83	1	proof	proof	NOUN
ejpam-4748	83	2	.	.	PUNCT
ejpam-4748	84	1	suppose	suppose	VERB
ejpam-4748	84	2	that	that	SCONJ
ejpam-4748	84	3	g	g	PROPN
ejpam-4748	84	4	admits	admit	VERB
ejpam-4748	84	5	a	a	DET
ejpam-4748	84	6	global	global	ADJ
ejpam-4748	84	7	stable	stable	ADJ
ejpam-4748	84	8	locating	locating	NOUN
ejpam-4748	84	9	-	-	PUNCT
ejpam-4748	84	10	dominating	dominating	NOUN
ejpam-4748	84	11	set	set	NOUN
ejpam-4748	84	12	.	.	PUNCT
ejpam-4748	85	1	then	then	ADV
ejpam-4748	85	2	g	g	PROPN
ejpam-4748	85	3	and	and	CCONJ
ejpam-4748	85	4	g	g	PROPN
ejpam-4748	85	5	admit	admit	VERB
ejpam-4748	85	6	a	a	DET
ejpam-4748	85	7	stable	stable	ADJ
ejpam-4748	85	8	locating	locating	NOUN
ejpam-4748	85	9	-	-	PUNCT
ejpam-4748	85	10	dominating	dominating	NOUN
ejpam-4748	85	11	set	set	NOUN
ejpam-4748	85	12	.	.	PUNCT
ejpam-4748	86	1	thus	thus	ADV
ejpam-4748	86	2	,	,	PUNCT
ejpam-4748	86	3	by	by	ADP
ejpam-4748	86	4	proposition	proposition	NOUN
ejpam-4748	86	5	1	1	NUM
ejpam-4748	86	6	,	,	PUNCT
ejpam-4748	86	7	g	g	PROPN
ejpam-4748	86	8	and	and	CCONJ
ejpam-4748	86	9	g	g	PROPN
ejpam-4748	86	10	have	have	VERB
ejpam-4748	86	11	no	no	DET
ejpam-4748	86	12	isolated	isolate	VERB
ejpam-4748	86	13	vertices	vertex	NOUN
ejpam-4748	86	14	.	.	PUNCT
ejpam-4748	87	1	□	□	PUNCT
ejpam-4748	87	2	corollary	corollary	ADJ
ejpam-4748	87	3	1	1	NUM
ejpam-4748	87	4	.	.	PUNCT
ejpam-4748	88	1	let	let	VERB
ejpam-4748	88	2	g	g	PRON
ejpam-4748	88	3	be	be	AUX
ejpam-4748	88	4	a	a	DET
ejpam-4748	88	5	non	non	ADJ
ejpam-4748	88	6	-	-	ADJ
ejpam-4748	88	7	trivial	trivial	ADJ
ejpam-4748	88	8	connected	connected	ADJ
ejpam-4748	88	9	graph	graph	NOUN
ejpam-4748	88	10	.	.	PUNCT
ejpam-4748	89	1	then	then	ADV
ejpam-4748	89	2	g	g	PROPN
ejpam-4748	89	3	admits	admit	VERB
ejpam-4748	89	4	a	a	DET
ejpam-4748	89	5	global	global	ADJ
ejpam-4748	89	6	stable	stable	ADJ
ejpam-4748	89	7	locating	locating	NOUN
ejpam-4748	89	8	-	-	PUNCT
ejpam-4748	89	9	dominating	dominating	NOUN
ejpam-4748	89	10	set	set	NOUN
ejpam-4748	89	11	if	if	SCONJ
ejpam-4748	89	12	and	and	CCONJ
ejpam-4748	89	13	only	only	ADV
ejpam-4748	89	14	if	if	SCONJ
ejpam-4748	89	15	γ(g	γ(g	NOUN
ejpam-4748	89	16	)	)	PUNCT
ejpam-4748	89	17	̸=	̸=	PROPN
ejpam-4748	89	18	1	1	NUM
ejpam-4748	89	19	.	.	PUNCT
ejpam-4748	89	20	remark	remark	NOUN
ejpam-4748	89	21	1	1	NUM
ejpam-4748	89	22	.	.	PUNCT
ejpam-4748	90	1	for	for	ADP
ejpam-4748	90	2	any	any	DET
ejpam-4748	90	3	non	non	ADJ
ejpam-4748	90	4	-	-	ADJ
ejpam-4748	90	5	trivial	trivial	ADJ
ejpam-4748	90	6	connected	connected	ADJ
ejpam-4748	90	7	graph	graph	NOUN
ejpam-4748	90	8	g	g	NOUN
ejpam-4748	90	9	with	with	ADP
ejpam-4748	90	10	γ(g	γ(g	PROPN
ejpam-4748	90	11	)	)	PUNCT
ejpam-4748	90	12	̸=	̸=	PROPN
ejpam-4748	90	13	1	1	NUM
ejpam-4748	90	14	,	,	PUNCT
ejpam-4748	90	15	λg(g	λg(g	NOUN
ejpam-4748	90	16	)	)	PUNCT
ejpam-4748	90	17	≤	≤	NOUN
ejpam-4748	90	18	λs	λs	ADP
ejpam-4748	90	19	gl(g	gl(g	PROPN
ejpam-4748	90	20	)	)	PUNCT
ejpam-4748	90	21	≤	≤	NOUN
ejpam-4748	90	22	|v	|v	X
ejpam-4748	90	23	(	(	PUNCT
ejpam-4748	90	24	g)|	g)|	NOUN
ejpam-4748	90	25	and	and	CCONJ
ejpam-4748	90	26	γsl	γsl	PROPN
ejpam-4748	90	27	(	(	PUNCT
ejpam-4748	90	28	g	g	NOUN
ejpam-4748	90	29	)	)	PUNCT
ejpam-4748	90	30	≤	≤	NOUN
ejpam-4748	90	31	λs	λs	ADP
ejpam-4748	90	32	gl(g	gl(g	NUM
ejpam-4748	90	33	)	)	PUNCT
ejpam-4748	90	34	.	.	PUNCT
ejpam-4748	91	1	remark	remark	PROPN
ejpam-4748	91	2	2	2	NUM
ejpam-4748	91	3	.	.	PUNCT
ejpam-4748	92	1	let	let	VERB
ejpam-4748	92	2	g	g	PRON
ejpam-4748	92	3	be	be	AUX
ejpam-4748	92	4	a	a	DET
ejpam-4748	92	5	graph	graph	NOUN
ejpam-4748	92	6	that	that	PRON
ejpam-4748	92	7	admits	admit	VERB
ejpam-4748	92	8	a	a	DET
ejpam-4748	92	9	global	global	ADJ
ejpam-4748	92	10	stable	stable	ADJ
ejpam-4748	92	11	locating	locating	NOUN
ejpam-4748	92	12	-	-	PUNCT
ejpam-4748	92	13	dominating	dominating	NOUN
ejpam-4748	92	14	set	set	NOUN
ejpam-4748	92	15	.	.	PUNCT
ejpam-4748	93	1	then	then	ADV
ejpam-4748	93	2	λs	λs	ADP
ejpam-4748	93	3	gl(g	gl(g	PUNCT
ejpam-4748	93	4	)	)	PUNCT
ejpam-4748	94	1	=	=	SYM
ejpam-4748	94	2	λs	λs	NOUN
ejpam-4748	94	3	gl(g	gl(g	NUM
ejpam-4748	94	4	)	)	PUNCT
ejpam-4748	94	5	.	.	PUNCT
ejpam-4748	95	1	m.	m.	PROPN
ejpam-4748	95	2	ortega	ortega	PROPN
ejpam-4748	95	3	,	,	PUNCT
ejpam-4748	95	4	g.	g.	PROPN
ejpam-4748	95	5	malacas	malacas	PROPN
ejpam-4748	95	6	,	,	PUNCT
ejpam-4748	95	7	s.	s.	PROPN
ejpam-4748	95	8	canoy	canoy	PROPN
ejpam-4748	95	9	,	,	PUNCT
ejpam-4748	95	10	jr	jr	PROPN
ejpam-4748	95	11	.	.	PROPN
ejpam-4748	95	12	/	/	SYM
ejpam-4748	95	13	eur	eur	PROPN
ejpam-4748	95	14	.	.	PUNCT
ejpam-4748	96	1	j.	j.	PROPN
ejpam-4748	96	2	pure	pure	PROPN
ejpam-4748	96	3	appl	appl	PROPN
ejpam-4748	96	4	.	.	PROPN
ejpam-4748	96	5	math	math	PROPN
ejpam-4748	96	6	,	,	PUNCT
ejpam-4748	96	7	16	16	NUM
ejpam-4748	96	8	(	(	PUNCT
ejpam-4748	96	9	3	3	NUM
ejpam-4748	96	10	)	)	PUNCT
ejpam-4748	96	11	(	(	PUNCT
ejpam-4748	96	12	2023	2023	NUM
ejpam-4748	96	13	)	)	PUNCT
ejpam-4748	96	14	,	,	PUNCT
ejpam-4748	96	15	1685	1685	NUM
ejpam-4748	96	16	-	-	SYM
ejpam-4748	96	17	1694	1694	NUM
ejpam-4748	96	18	1688	1688	NUM
ejpam-4748	96	19	proposition	proposition	NOUN
ejpam-4748	96	20	2	2	NUM
ejpam-4748	96	21	.	.	X
ejpam-4748	97	1	for	for	ADP
ejpam-4748	97	2	any	any	DET
ejpam-4748	97	3	non	non	ADJ
ejpam-4748	97	4	-	-	ADJ
ejpam-4748	97	5	trivial	trivial	ADJ
ejpam-4748	97	6	graph	graph	NOUN
ejpam-4748	97	7	g	g	NOUN
ejpam-4748	97	8	of	of	ADP
ejpam-4748	97	9	order	order	NOUN
ejpam-4748	97	10	n	n	PRON
ejpam-4748	97	11	≥	≥	NOUN
ejpam-4748	97	12	4	4	NUM
ejpam-4748	97	13	,	,	PUNCT
ejpam-4748	97	14	4	4	NUM
ejpam-4748	97	15	≤	≤	NOUN
ejpam-4748	97	16	λs	λs	ADP
ejpam-4748	97	17	gl(g	gl(g	NOUN
ejpam-4748	97	18	)	)	PUNCT
ejpam-4748	97	19	≤	≤	NUM
ejpam-4748	97	20	n.	n.	NOUN
ejpam-4748	97	21	proof	proof	NOUN
ejpam-4748	97	22	.	.	PUNCT
ejpam-4748	98	1	let	let	VERB
ejpam-4748	98	2	s	s	PRON
ejpam-4748	98	3	be	be	AUX
ejpam-4748	98	4	λs	λs	ADP
ejpam-4748	98	5	gl	gl	NOUN
ejpam-4748	98	6	-	-	NOUN
ejpam-4748	98	7	set	set	NOUN
ejpam-4748	98	8	.	.	PUNCT
ejpam-4748	99	1	by	by	ADP
ejpam-4748	99	2	proposition	proposition	NOUN
ejpam-4748	99	3	1(i	1(i	NUM
ejpam-4748	99	4	)	)	PUNCT
ejpam-4748	99	5	,	,	PUNCT
ejpam-4748	99	6	|s|	|s|	X
ejpam-4748	99	7	≥	≥	NOUN
ejpam-4748	99	8	3	3	NUM
ejpam-4748	99	9	.	.	PUNCT
ejpam-4748	100	1	now	now	ADV
ejpam-4748	100	2	,	,	PUNCT
ejpam-4748	100	3	suppose	suppose	VERB
ejpam-4748	100	4	that	that	SCONJ
ejpam-4748	100	5	λs	λs	ADP
ejpam-4748	100	6	gl(g	gl(g	PROPN
ejpam-4748	100	7	)	)	PUNCT
ejpam-4748	100	8	=	=	SYM
ejpam-4748	100	9	3	3	NUM
ejpam-4748	100	10	and	and	CCONJ
ejpam-4748	100	11	let	let	VERB
ejpam-4748	100	12	s	s	PRON
ejpam-4748	100	13	=	=	VERB
ejpam-4748	100	14	{	{	PUNCT
ejpam-4748	100	15	a	a	PRON
ejpam-4748	100	16	,	,	PUNCT
ejpam-4748	100	17	b	b	NOUN
ejpam-4748	100	18	,	,	PUNCT
ejpam-4748	100	19	c	c	NOUN
ejpam-4748	100	20	}	}	PUNCT
ejpam-4748	100	21	.	.	PUNCT
ejpam-4748	101	1	pick	pick	VERB
ejpam-4748	101	2	any	any	DET
ejpam-4748	101	3	v	v	NOUN
ejpam-4748	101	4	∈	∈	NOUN
ejpam-4748	101	5	v	v	NOUN
ejpam-4748	101	6	(	(	PUNCT
ejpam-4748	101	7	g)\s	g)\s	NOUN
ejpam-4748	101	8	.	.	PUNCT
ejpam-4748	102	1	suppose	suppose	VERB
ejpam-4748	102	2	n	n	PROPN
ejpam-4748	102	3	=	=	SYM
ejpam-4748	102	4	4	4	X
ejpam-4748	102	5	.	.	PUNCT
ejpam-4748	103	1	since	since	SCONJ
ejpam-4748	103	2	s	s	PROPN
ejpam-4748	103	3	is	be	AUX
ejpam-4748	103	4	a	a	DET
ejpam-4748	103	5	stable	stable	ADJ
ejpam-4748	103	6	locating	locating	NOUN
ejpam-4748	103	7	-	-	PUNCT
ejpam-4748	103	8	dominating	dominating	NOUN
ejpam-4748	103	9	set	set	NOUN
ejpam-4748	103	10	,	,	PUNCT
ejpam-4748	103	11	|ng(v)|	|ng(v)|	NOUN
ejpam-4748	103	12	≥	≥	NOUN
ejpam-4748	103	13	2	2	NUM
ejpam-4748	103	14	.	.	PUNCT
ejpam-4748	103	15	suppose	suppose	VERB
ejpam-4748	103	16	a	a	DET
ejpam-4748	103	17	,	,	PUNCT
ejpam-4748	103	18	b	b	NOUN
ejpam-4748	103	19	∈	∈	PROPN
ejpam-4748	103	20	ng(v	ng(v	PRON
ejpam-4748	103	21	)	)	PUNCT
ejpam-4748	103	22	.	.	PUNCT
ejpam-4748	104	1	since	since	SCONJ
ejpam-4748	104	2	s\{c	s\{c	NOUN
ejpam-4748	104	3	}	}	PUNCT
ejpam-4748	104	4	is	be	AUX
ejpam-4748	104	5	a	a	DET
ejpam-4748	104	6	dominating	dominating	NOUN
ejpam-4748	104	7	set	set	NOUN
ejpam-4748	104	8	,	,	PUNCT
ejpam-4748	104	9	ac	ac	PROPN
ejpam-4748	104	10	∈	∈	PROPN
ejpam-4748	104	11	e(g	e(g	PROPN
ejpam-4748	104	12	)	)	PUNCT
ejpam-4748	104	13	or	or	CCONJ
ejpam-4748	104	14	bc	bc	PROPN
ejpam-4748	104	15	∈	∈	PROPN
ejpam-4748	104	16	e(g	e(g	PROPN
ejpam-4748	104	17	)	)	PUNCT
ejpam-4748	104	18	.	.	PUNCT
ejpam-4748	105	1	if	if	SCONJ
ejpam-4748	105	2	ac	ac	PROPN
ejpam-4748	105	3	/∈	/∈	PUNCT
ejpam-4748	105	4	e(g	e(g	PROPN
ejpam-4748	105	5	)	)	PUNCT
ejpam-4748	105	6	,	,	PUNCT
ejpam-4748	105	7	then	then	ADV
ejpam-4748	105	8	bc	bc	PROPN
ejpam-4748	105	9	∈	∈	PROPN
ejpam-4748	105	10	e(g	e(g	PROPN
ejpam-4748	105	11	)	)	PUNCT
ejpam-4748	105	12	.	.	PUNCT
ejpam-4748	106	1	since	since	SCONJ
ejpam-4748	106	2	s\{c	s\{c	NOUN
ejpam-4748	106	3	}	}	PUNCT
ejpam-4748	106	4	is	be	AUX
ejpam-4748	106	5	a	a	DET
ejpam-4748	106	6	locating	locating	NOUN
ejpam-4748	106	7	set	set	NOUN
ejpam-4748	106	8	,	,	PUNCT
ejpam-4748	106	9	ab	ab	PROPN
ejpam-4748	106	10	∈	∈	PROPN
ejpam-4748	106	11	e(g	e(g	PROPN
ejpam-4748	106	12	)	)	PUNCT
ejpam-4748	106	13	.	.	PUNCT
ejpam-4748	107	1	hence	hence	ADV
ejpam-4748	107	2	,	,	PUNCT
ejpam-4748	107	3	if	if	SCONJ
ejpam-4748	107	4	c	c	PROPN
ejpam-4748	107	5	/∈	/∈	PUNCT
ejpam-4748	107	6	ng(v	ng(v	NUM
ejpam-4748	107	7	)	)	PUNCT
ejpam-4748	108	1	,	,	PUNCT
ejpam-4748	108	2	then	then	ADV
ejpam-4748	108	3	ng(a)∩s	ng(a)∩s	PROPN
ejpam-4748	108	4	=	=	PROPN
ejpam-4748	108	5	ng(v)∩s	ng(v)∩s	PROPN
ejpam-4748	108	6	.	.	PUNCT
ejpam-4748	109	1	this	this	PRON
ejpam-4748	109	2	implies	imply	VERB
ejpam-4748	109	3	that	that	SCONJ
ejpam-4748	109	4	s\{a	s\{a	NOUN
ejpam-4748	109	5	}	}	PUNCT
ejpam-4748	109	6	is	be	AUX
ejpam-4748	109	7	not	not	PART
ejpam-4748	109	8	a	a	DET
ejpam-4748	109	9	locating	locating	NOUN
ejpam-4748	109	10	set	set	NOUN
ejpam-4748	109	11	.	.	PUNCT
ejpam-4748	110	1	similarly	similarly	ADV
ejpam-4748	110	2	,	,	PUNCT
ejpam-4748	110	3	if	if	SCONJ
ejpam-4748	110	4	ac	ac	PROPN
ejpam-4748	110	5	∈	∈	PROPN
ejpam-4748	110	6	e(g	e(g	PROPN
ejpam-4748	110	7	)	)	PUNCT
ejpam-4748	110	8	,	,	PUNCT
ejpam-4748	110	9	then	then	ADV
ejpam-4748	110	10	s\{b	s\{b	VERB
ejpam-4748	110	11	}	}	PUNCT
ejpam-4748	110	12	or	or	CCONJ
ejpam-4748	110	13	s\{c	s\{c	ADP
ejpam-4748	110	14	}	}	PUNCT
ejpam-4748	110	15	is	be	AUX
ejpam-4748	110	16	not	not	PART
ejpam-4748	110	17	a	a	DET
ejpam-4748	110	18	locating	locating	NOUN
ejpam-4748	110	19	set	set	NOUN
ejpam-4748	110	20	.	.	PUNCT
ejpam-4748	111	1	thus	thus	ADV
ejpam-4748	111	2	,	,	PUNCT
ejpam-4748	111	3	ng(v	ng(v	PUNCT
ejpam-4748	111	4	)	)	PUNCT
ejpam-4748	112	1	=	=	PRON
ejpam-4748	112	2	{	{	PUNCT
ejpam-4748	112	3	a	a	DET
ejpam-4748	112	4	,	,	PUNCT
ejpam-4748	112	5	b	b	NOUN
ejpam-4748	112	6	,	,	PUNCT
ejpam-4748	112	7	c	c	NOUN
ejpam-4748	112	8	}	}	PUNCT
ejpam-4748	112	9	.	.	PUNCT
ejpam-4748	113	1	this	this	PRON
ejpam-4748	113	2	is	be	AUX
ejpam-4748	113	3	not	not	PART
ejpam-4748	113	4	possible	possible	ADJ
ejpam-4748	113	5	because	because	SCONJ
ejpam-4748	113	6	v	v	NOUN
ejpam-4748	113	7	is	be	AUX
ejpam-4748	113	8	an	an	DET
ejpam-4748	113	9	isolated	isolated	ADJ
ejpam-4748	113	10	vertex	vertex	NOUN
ejpam-4748	113	11	in	in	ADP
ejpam-4748	113	12	g.	g.	PROPN
ejpam-4748	114	1	if	if	SCONJ
ejpam-4748	114	2	⟨s⟩	⟨s⟩	PROPN
ejpam-4748	114	3	=	=	PRON
ejpam-4748	114	4	k3	k3	PROPN
ejpam-4748	114	5	,	,	PUNCT
ejpam-4748	114	6	then	then	ADV
ejpam-4748	114	7	a	a	PRON
ejpam-4748	114	8	and	and	CCONJ
ejpam-4748	114	9	b	b	NOUN
ejpam-4748	114	10	are	be	AUX
ejpam-4748	114	11	isolated	isolate	VERB
ejpam-4748	114	12	vertices	vertex	NOUN
ejpam-4748	114	13	in	in	ADP
ejpam-4748	114	14	g.	g.	PROPN
ejpam-4748	114	15	therefore	therefore	ADV
ejpam-4748	114	16	,	,	PUNCT
ejpam-4748	114	17	|v	|v	PROPN
ejpam-4748	114	18	(	(	PUNCT
ejpam-4748	114	19	g)|	g)|	X
ejpam-4748	114	20	≥	≥	NOUN
ejpam-4748	114	21	5	5	NUM
ejpam-4748	114	22	.	.	PUNCT
ejpam-4748	115	1	let	let	VERB
ejpam-4748	115	2	v	v	NOUN
ejpam-4748	115	3	,	,	PUNCT
ejpam-4748	115	4	w	w	PROPN
ejpam-4748	115	5	∈	∈	PROPN
ejpam-4748	115	6	v	v	NOUN
ejpam-4748	115	7	(	(	PUNCT
ejpam-4748	115	8	g)\s	g)\s	NOUN
ejpam-4748	115	9	.	.	PUNCT
ejpam-4748	116	1	since	since	SCONJ
ejpam-4748	116	2	s	s	PROPN
ejpam-4748	116	3	is	be	AUX
ejpam-4748	116	4	a	a	DET
ejpam-4748	116	5	stable	stable	ADJ
ejpam-4748	116	6	locating	locating	NOUN
ejpam-4748	116	7	-	-	PUNCT
ejpam-4748	116	8	dominating	dominating	NOUN
ejpam-4748	116	9	set	set	NOUN
ejpam-4748	116	10	,	,	PUNCT
ejpam-4748	116	11	we	we	PRON
ejpam-4748	116	12	may	may	AUX
ejpam-4748	116	13	assume	assume	VERB
ejpam-4748	116	14	that	that	SCONJ
ejpam-4748	116	15	|ng(v	|ng(v	VERB
ejpam-4748	116	16	)	)	PUNCT
ejpam-4748	116	17	∩	∩	NOUN
ejpam-4748	116	18	s|	s|	NOUN
ejpam-4748	116	19	=	=	SYM
ejpam-4748	116	20	2	2	NUM
ejpam-4748	116	21	and	and	CCONJ
ejpam-4748	116	22	|ng(w	|ng(w	NOUN
ejpam-4748	116	23	)	)	PUNCT
ejpam-4748	116	24	∩	∩	NOUN
ejpam-4748	116	25	s|	s|	NOUN
ejpam-4748	116	26	=	=	SYM
ejpam-4748	116	27	3	3	X
ejpam-4748	116	28	.	.	X
ejpam-4748	116	29	assume	assume	VERB
ejpam-4748	116	30	that	that	SCONJ
ejpam-4748	116	31	ng(v	ng(v	NOUN
ejpam-4748	116	32	)	)	PUNCT
ejpam-4748	116	33	∩	∩	NOUN
ejpam-4748	116	34	s	s	PART
ejpam-4748	116	35	=	=	X
ejpam-4748	116	36	{	{	PUNCT
ejpam-4748	116	37	a	a	PRON
ejpam-4748	116	38	,	,	PUNCT
ejpam-4748	116	39	b	b	NOUN
ejpam-4748	116	40	}	}	PUNCT
ejpam-4748	116	41	.	.	PUNCT
ejpam-4748	117	1	then	then	ADV
ejpam-4748	117	2	ng(w	ng(w	NOUN
ejpam-4748	117	3	)	)	PUNCT
ejpam-4748	117	4	∩	∩	NOUN
ejpam-4748	117	5	(	(	PUNCT
ejpam-4748	117	6	s\{c	s\{c	NOUN
ejpam-4748	117	7	}	}	PUNCT
ejpam-4748	117	8	)	)	PUNCT
ejpam-4748	117	9	=	=	PUNCT
ejpam-4748	117	10	ng(v	ng(v	X
ejpam-4748	117	11	)	)	PUNCT
ejpam-4748	117	12	∩	∩	NOUN
ejpam-4748	117	13	(	(	PUNCT
ejpam-4748	117	14	s\{c	s\{c	NOUN
ejpam-4748	117	15	}	}	PUNCT
ejpam-4748	117	16	)	)	PUNCT
ejpam-4748	117	17	,	,	PUNCT
ejpam-4748	117	18	implying	imply	VERB
ejpam-4748	117	19	that	that	SCONJ
ejpam-4748	117	20	s\{c	s\{c	NOUN
ejpam-4748	117	21	}	}	PUNCT
ejpam-4748	117	22	is	be	AUX
ejpam-4748	117	23	not	not	PART
ejpam-4748	117	24	a	a	DET
ejpam-4748	117	25	locating	locating	NOUN
ejpam-4748	117	26	set	set	NOUN
ejpam-4748	117	27	.	.	PUNCT
ejpam-4748	118	1	therefore	therefore	ADV
ejpam-4748	118	2	,	,	PUNCT
ejpam-4748	118	3	λs	λs	NOUN
ejpam-4748	118	4	gl(g	gl(g	PROPN
ejpam-4748	118	5	)	)	PUNCT
ejpam-4748	118	6	≥	≥	NOUN
ejpam-4748	118	7	4	4	NUM
ejpam-4748	118	8	.	.	PUNCT
ejpam-4748	119	1	□	□	PUNCT
ejpam-4748	119	2	lemma	lemma	PROPN
ejpam-4748	119	3	1	1	NUM
ejpam-4748	119	4	.	.	PUNCT
ejpam-4748	120	1	[	[	X
ejpam-4748	120	2	2	2	X
ejpam-4748	120	3	]	]	PUNCT
ejpam-4748	120	4	let	let	VERB
ejpam-4748	120	5	g	g	PRON
ejpam-4748	120	6	be	be	AUX
ejpam-4748	120	7	a	a	DET
ejpam-4748	120	8	graph	graph	NOUN
ejpam-4748	120	9	and	and	CCONJ
ejpam-4748	120	10	s	s	VERB
ejpam-4748	120	11	⊆	⊆	NUM
ejpam-4748	120	12	v	v	NOUN
ejpam-4748	120	13	(	(	PUNCT
ejpam-4748	120	14	g	g	NOUN
ejpam-4748	120	15	)	)	PUNCT
ejpam-4748	120	16	.	.	PUNCT
ejpam-4748	121	1	if	if	SCONJ
ejpam-4748	121	2	x	x	X
ejpam-4748	121	3	,	,	PUNCT
ejpam-4748	121	4	y	y	PROPN
ejpam-4748	121	5	∈	∈	PROPN
ejpam-4748	121	6	v	v	X
ejpam-4748	121	7	(	(	PUNCT
ejpam-4748	121	8	g)\s	g)\s	NOUN
ejpam-4748	121	9	,	,	PUNCT
ejpam-4748	121	10	then	then	ADV
ejpam-4748	121	11	ng(x	ng(x	NUM
ejpam-4748	121	12	)	)	PUNCT
ejpam-4748	121	13	∩	∩	NOUN
ejpam-4748	121	14	s	s	PART
ejpam-4748	121	15	̸=	̸=	PROPN
ejpam-4748	121	16	ng(y	ng(y	NOUN
ejpam-4748	121	17	)	)	PUNCT
ejpam-4748	121	18	∩	∩	NOUN
ejpam-4748	121	19	s	s	PART
ejpam-4748	121	20	if	if	SCONJ
ejpam-4748	121	21	and	and	CCONJ
ejpam-4748	121	22	only	only	ADV
ejpam-4748	121	23	if	if	SCONJ
ejpam-4748	121	24	ng(x	ng(x	NOUN
ejpam-4748	121	25	)	)	PUNCT
ejpam-4748	121	26	∩	∩	NOUN
ejpam-4748	121	27	s	s	PART
ejpam-4748	121	28	̸=	̸=	PROPN
ejpam-4748	121	29	ng(y	ng(y	NOUN
ejpam-4748	121	30	)	)	PUNCT
ejpam-4748	121	31	∩	∩	PROPN
ejpam-4748	121	32	s.	s.	PROPN
ejpam-4748	121	33	remark	remark	VERB
ejpam-4748	121	34	3	3	NUM
ejpam-4748	121	35	.	.	PUNCT
ejpam-4748	122	1	let	let	VERB
ejpam-4748	122	2	g	g	PRON
ejpam-4748	122	3	be	be	AUX
ejpam-4748	122	4	a	a	DET
ejpam-4748	122	5	graph	graph	NOUN
ejpam-4748	122	6	of	of	ADP
ejpam-4748	122	7	order	order	NOUN
ejpam-4748	122	8	n	n	PRON
ejpam-4748	122	9	≥	≥	NOUN
ejpam-4748	122	10	4	4	NUM
ejpam-4748	122	11	and	and	CCONJ
ejpam-4748	122	12	suppose	suppose	VERB
ejpam-4748	122	13	it	it	PRON
ejpam-4748	122	14	admits	admit	VERB
ejpam-4748	122	15	a	a	DET
ejpam-4748	122	16	global	global	ADJ
ejpam-4748	122	17	stable	stable	ADJ
ejpam-4748	122	18	locating	locating	NOUN
ejpam-4748	122	19	-	-	PUNCT
ejpam-4748	122	20	dominating	dominating	NOUN
ejpam-4748	122	21	set	set	NOUN
ejpam-4748	122	22	.	.	PUNCT
ejpam-4748	123	1	if	if	SCONJ
ejpam-4748	123	2	γsl	γsl	VERB
ejpam-4748	123	3	(	(	PUNCT
ejpam-4748	123	4	g	g	NOUN
ejpam-4748	123	5	)	)	PUNCT
ejpam-4748	123	6	=	=	SYM
ejpam-4748	123	7	n	n	NOUN
ejpam-4748	123	8	or	or	CCONJ
ejpam-4748	123	9	γsl	γsl	VERB
ejpam-4748	123	10	(	(	PUNCT
ejpam-4748	123	11	g	g	NOUN
ejpam-4748	123	12	)	)	PUNCT
ejpam-4748	123	13	=	=	SYM
ejpam-4748	124	1	n	n	CCONJ
ejpam-4748	124	2	,	,	PUNCT
ejpam-4748	124	3	then	then	ADV
ejpam-4748	124	4	λs	λs	NOUN
ejpam-4748	124	5	gl(g	gl(g	NOUN
ejpam-4748	124	6	)	)	PUNCT
ejpam-4748	125	1	=	=	SYM
ejpam-4748	125	2	n.	n.	NOUN
ejpam-4748	125	3	note	note	VERB
ejpam-4748	125	4	that	that	SCONJ
ejpam-4748	125	5	the	the	DET
ejpam-4748	125	6	converse	converse	NOUN
ejpam-4748	125	7	of	of	ADP
ejpam-4748	125	8	remark	remark	NOUN
ejpam-4748	125	9	3	3	NUM
ejpam-4748	125	10	is	be	AUX
ejpam-4748	125	11	not	not	PART
ejpam-4748	125	12	true	true	ADJ
ejpam-4748	125	13	.	.	PUNCT
ejpam-4748	126	1	to	to	PART
ejpam-4748	126	2	see	see	VERB
ejpam-4748	126	3	this	this	PRON
ejpam-4748	126	4	,	,	PUNCT
ejpam-4748	126	5	consider	consider	VERB
ejpam-4748	126	6	the	the	DET
ejpam-4748	126	7	graphs	graph	NOUN
ejpam-4748	126	8	in	in	ADP
ejpam-4748	126	9	figure	figure	NOUN
ejpam-4748	126	10	1	1	NUM
ejpam-4748	126	11	.	.	PUNCT
ejpam-4748	127	1	it	it	PRON
ejpam-4748	127	2	can	can	AUX
ejpam-4748	127	3	be	be	AUX
ejpam-4748	127	4	verified	verify	VERB
ejpam-4748	127	5	that	that	SCONJ
ejpam-4748	127	6	s	s	VERB
ejpam-4748	127	7	=	=	SYM
ejpam-4748	127	8	v	v	PROPN
ejpam-4748	127	9	(	(	PUNCT
ejpam-4748	127	10	g)\{4	g)\{4	PROPN
ejpam-4748	127	11	}	}	PUNCT
ejpam-4748	127	12	and	and	CCONJ
ejpam-4748	127	13	s′	s′	ADJ
ejpam-4748	127	14	=	=	SYM
ejpam-4748	127	15	v	v	NOUN
ejpam-4748	127	16	(	(	PUNCT
ejpam-4748	127	17	g)\{1	g)\{1	PROPN
ejpam-4748	127	18	}	}	PUNCT
ejpam-4748	127	19	are	be	AUX
ejpam-4748	127	20	γsl	γsl	VERB
ejpam-4748	127	21	-sets	-set	NOUN
ejpam-4748	127	22	in	in	ADP
ejpam-4748	127	23	g	g	NOUN
ejpam-4748	127	24	and	and	CCONJ
ejpam-4748	127	25	g	g	NOUN
ejpam-4748	127	26	,	,	PUNCT
ejpam-4748	127	27	respectively	respectively	ADV
ejpam-4748	127	28	.	.	PUNCT
ejpam-4748	128	1	hence	hence	ADV
ejpam-4748	128	2	,	,	PUNCT
ejpam-4748	128	3	γsl	γsl	VERB
ejpam-4748	128	4	(	(	PUNCT
ejpam-4748	128	5	g	g	NOUN
ejpam-4748	128	6	)	)	PUNCT
ejpam-4748	128	7	=	=	PUNCT
ejpam-4748	128	8	γsl	γsl	VERB
ejpam-4748	128	9	(	(	PUNCT
ejpam-4748	128	10	g	g	NOUN
ejpam-4748	128	11	)	)	PUNCT
ejpam-4748	128	12	=	=	SYM
ejpam-4748	128	13	4	4	X
ejpam-4748	128	14	.	.	PUNCT
ejpam-4748	128	15	however	however	ADV
ejpam-4748	128	16	,	,	PUNCT
ejpam-4748	128	17	λs	λs	NOUN
ejpam-4748	128	18	gl(g	gl(g	NOUN
ejpam-4748	128	19	)	)	PUNCT
ejpam-4748	128	20	=	=	SYM
ejpam-4748	129	1	5	5	X
ejpam-4748	129	2	.	.	X
ejpam-4748	130	1	g	g	NOUN
ejpam-4748	130	2	:	:	PUNCT
ejpam-4748	130	3	2	2	NUM
ejpam-4748	130	4	4	4	NUM
ejpam-4748	130	5	1	1	NUM
ejpam-4748	130	6	5	5	NUM
ejpam-4748	130	7	3	3	NUM
ejpam-4748	130	8	g	g	NOUN
ejpam-4748	130	9	:	:	PUNCT
ejpam-4748	130	10	2	2	NUM
ejpam-4748	130	11	4	4	NUM
ejpam-4748	130	12	1	1	NUM
ejpam-4748	130	13	5	5	NUM
ejpam-4748	130	14	3	3	NUM
ejpam-4748	130	15	figure	figure	NOUN
ejpam-4748	130	16	1	1	NUM
ejpam-4748	130	17	:	:	PUNCT
ejpam-4748	130	18	a	a	DET
ejpam-4748	130	19	graph	graph	NOUN
ejpam-4748	130	20	g	g	NOUN
ejpam-4748	130	21	with	with	ADP
ejpam-4748	130	22	γs	γs	ADP
ejpam-4748	130	23	l	l	NOUN
ejpam-4748	130	24	(	(	PUNCT
ejpam-4748	130	25	g	g	NOUN
ejpam-4748	130	26	)	)	PUNCT
ejpam-4748	130	27	=	=	SYM
ejpam-4748	130	28	4	4	NUM
ejpam-4748	130	29	and	and	CCONJ
ejpam-4748	130	30	γs	γs	ADP
ejpam-4748	130	31	l	l	NOUN
ejpam-4748	130	32	(	(	PUNCT
ejpam-4748	130	33	g	g	NOUN
ejpam-4748	130	34	)	)	PUNCT
ejpam-4748	130	35	=	=	SYM
ejpam-4748	130	36	4	4	NUM
ejpam-4748	130	37	but	but	CCONJ
ejpam-4748	130	38	λs	λs	NOUN
ejpam-4748	130	39	gl(g	gl(g	NOUN
ejpam-4748	130	40	)	)	PUNCT
ejpam-4748	131	1	=	=	SYM
ejpam-4748	131	2	5	5	NUM
ejpam-4748	131	3	this	this	DET
ejpam-4748	131	4	particular	particular	ADJ
ejpam-4748	131	5	example	example	NOUN
ejpam-4748	131	6	shows	show	VERB
ejpam-4748	131	7	that	that	SCONJ
ejpam-4748	131	8	the	the	DET
ejpam-4748	131	9	concept	concept	NOUN
ejpam-4748	131	10	of	of	ADP
ejpam-4748	131	11	stable	stable	ADJ
ejpam-4748	131	12	locating	locating	NOUN
ejpam-4748	131	13	-	-	PUNCT
ejpam-4748	131	14	dominating	dominating	NOUN
ejpam-4748	131	15	set	set	NOUN
ejpam-4748	131	16	is	be	AUX
ejpam-4748	131	17	not	not	PART
ejpam-4748	131	18	equivalent	equivalent	ADJ
ejpam-4748	131	19	to	to	ADP
ejpam-4748	131	20	the	the	DET
ejpam-4748	131	21	concept	concept	NOUN
ejpam-4748	131	22	of	of	ADP
ejpam-4748	131	23	global	global	ADJ
ejpam-4748	131	24	stable	stable	ADJ
ejpam-4748	131	25	locating	locating	NOUN
ejpam-4748	131	26	-	-	PUNCT
ejpam-4748	131	27	dominating	dominating	NOUN
ejpam-4748	131	28	set	set	NOUN
ejpam-4748	131	29	.	.	PUNCT
ejpam-4748	132	1	theorem	theorem	NOUN
ejpam-4748	132	2	2	2	NUM
ejpam-4748	132	3	.	.	PUNCT
ejpam-4748	133	1	let	let	VERB
ejpam-4748	133	2	g	g	PRON
ejpam-4748	133	3	be	be	AUX
ejpam-4748	133	4	a	a	DET
ejpam-4748	133	5	non	non	ADJ
ejpam-4748	133	6	-	-	ADJ
ejpam-4748	133	7	trivial	trivial	ADJ
ejpam-4748	133	8	graph	graph	NOUN
ejpam-4748	133	9	of	of	ADP
ejpam-4748	133	10	order	order	NOUN
ejpam-4748	133	11	n	n	PRON
ejpam-4748	133	12	≥	≥	NUM
ejpam-4748	133	13	5	5	NUM
ejpam-4748	133	14	such	such	ADJ
ejpam-4748	133	15	that	that	DET
ejpam-4748	133	16	∆(g	∆(g	NOUN
ejpam-4748	133	17	)	)	PUNCT
ejpam-4748	133	18	≤	≤	NOUN
ejpam-4748	133	19	n	n	CCONJ
ejpam-4748	133	20	−	−	PROPN
ejpam-4748	134	1	3	3	X
ejpam-4748	134	2	.	.	PUNCT
ejpam-4748	135	1	if	if	SCONJ
ejpam-4748	135	2	g	g	PROPN
ejpam-4748	135	3	admits	admit	VERB
ejpam-4748	135	4	a	a	DET
ejpam-4748	135	5	global	global	ADJ
ejpam-4748	135	6	stable	stable	ADJ
ejpam-4748	135	7	locating	locating	NOUN
ejpam-4748	135	8	-	-	PUNCT
ejpam-4748	135	9	dominating	dominating	NOUN
ejpam-4748	135	10	set	set	NOUN
ejpam-4748	135	11	,	,	PUNCT
ejpam-4748	135	12	then	then	ADV
ejpam-4748	135	13	λs	λs	NOUN
ejpam-4748	135	14	gl(g	gl(g	NOUN
ejpam-4748	135	15	)	)	PUNCT
ejpam-4748	136	1	=	=	SYM
ejpam-4748	137	1	n	n	NOUN
ejpam-4748	137	2	if	if	SCONJ
ejpam-4748	137	3	and	and	CCONJ
ejpam-4748	137	4	only	only	ADV
ejpam-4748	137	5	if	if	SCONJ
ejpam-4748	137	6	γsl	γsl	ADJ
ejpam-4748	137	7	(	(	PUNCT
ejpam-4748	137	8	g	g	NOUN
ejpam-4748	137	9	)	)	PUNCT
ejpam-4748	137	10	=	=	SYM
ejpam-4748	137	11	n.	n.	NOUN
ejpam-4748	137	12	proof	proof	NOUN
ejpam-4748	137	13	.	.	PUNCT
ejpam-4748	138	1	suppose	suppose	VERB
ejpam-4748	138	2	that	that	SCONJ
ejpam-4748	138	3	λs	λs	ADP
ejpam-4748	138	4	gl(g	gl(g	PROPN
ejpam-4748	138	5	)	)	PUNCT
ejpam-4748	139	1	=	=	VERB
ejpam-4748	139	2	n.	n.	NOUN
ejpam-4748	139	3	suppose	suppose	VERB
ejpam-4748	139	4	that	that	SCONJ
ejpam-4748	139	5	γsl	γsl	VERB
ejpam-4748	139	6	(	(	PUNCT
ejpam-4748	139	7	g	g	NOUN
ejpam-4748	139	8	)	)	PUNCT
ejpam-4748	139	9	̸=	̸=	PROPN
ejpam-4748	139	10	n.	n.	NOUN
ejpam-4748	139	11	by	by	ADP
ejpam-4748	139	12	proposition	proposition	NOUN
ejpam-4748	139	13	1	1	NUM
ejpam-4748	139	14	,	,	PUNCT
ejpam-4748	139	15	there	there	PRON
ejpam-4748	139	16	exists	exist	VERB
ejpam-4748	139	17	v	v	ADP
ejpam-4748	139	18	∈	∈	PROPN
ejpam-4748	139	19	v	v	NOUN
ejpam-4748	139	20	(	(	PUNCT
ejpam-4748	139	21	g	g	NOUN
ejpam-4748	139	22	)	)	PUNCT
ejpam-4748	139	23	such	such	ADJ
ejpam-4748	139	24	that	that	PRON
ejpam-4748	139	25	v	v	NOUN
ejpam-4748	139	26	/∈	/∈	PUNCT
ejpam-4748	139	27	l(g	l(g	NOUN
ejpam-4748	139	28	)	)	PUNCT
ejpam-4748	139	29	∪	∪	ADP
ejpam-4748	139	30	s(g	s(g	PROPN
ejpam-4748	139	31	)	)	PUNCT
ejpam-4748	139	32	and	and	CCONJ
ejpam-4748	139	33	ng(v)\{w	ng(v)\{w	NOUN
ejpam-4748	139	34	}	}	PUNCT
ejpam-4748	139	35	̸=	̸=	PROPN
ejpam-4748	139	36	ng(w)\{v	ng(w)\{v	NUM
ejpam-4748	139	37	}	}	PUNCT
ejpam-4748	139	38	for	for	ADP
ejpam-4748	139	39	all	all	DET
ejpam-4748	139	40	w	w	PROPN
ejpam-4748	139	41	∈	∈	PROPN
ejpam-4748	139	42	v	v	NOUN
ejpam-4748	139	43	(	(	PUNCT
ejpam-4748	139	44	g)\{v	g)\{v	PROPN
ejpam-4748	139	45	}	}	PUNCT
ejpam-4748	139	46	.	.	PUNCT
ejpam-4748	140	1	let	let	VERB
ejpam-4748	140	2	s	s	PRON
ejpam-4748	140	3	=	=	X
ejpam-4748	140	4	v	v	PROPN
ejpam-4748	140	5	(	(	PUNCT
ejpam-4748	140	6	g)\{v	g)\{v	PROPN
ejpam-4748	140	7	}	}	PUNCT
ejpam-4748	140	8	.	.	PUNCT
ejpam-4748	141	1	then	then	ADV
ejpam-4748	141	2	s	s	VERB
ejpam-4748	141	3	is	be	AUX
ejpam-4748	141	4	a	a	DET
ejpam-4748	141	5	locating	locate	VERB
ejpam-4748	141	6	-	-	PUNCT
ejpam-4748	141	7	dominating	dominate	VERB
ejpam-4748	141	8	set	set	NOUN
ejpam-4748	141	9	of	of	ADP
ejpam-4748	141	10	g.	g.	PROPN
ejpam-4748	141	11	let	let	VERB
ejpam-4748	141	12	z	z	PROPN
ejpam-4748	141	13	∈	∈	PROPN
ejpam-4748	141	14	s	s	PART
ejpam-4748	141	15	and	and	CCONJ
ejpam-4748	141	16	set	set	VERB
ejpam-4748	141	17	sz	sz	NOUN
ejpam-4748	141	18	=	=	PUNCT
ejpam-4748	141	19	s\{z	s\{z	NOUN
ejpam-4748	141	20	}	}	PUNCT
ejpam-4748	141	21	=	=	SYM
ejpam-4748	141	22	v	v	X
ejpam-4748	141	23	(	(	PUNCT
ejpam-4748	141	24	g)\{v	g)\{v	PROPN
ejpam-4748	141	25	,	,	PUNCT
ejpam-4748	141	26	z	z	NOUN
ejpam-4748	141	27	}	}	PUNCT
ejpam-4748	141	28	.	.	PUNCT
ejpam-4748	142	1	suppose	suppose	VERB
ejpam-4748	142	2	that	that	SCONJ
ejpam-4748	142	3	vz	vz	PROPN
ejpam-4748	142	4	/∈	/∈	PROPN
ejpam-4748	142	5	e(g	e(g	PROPN
ejpam-4748	142	6	)	)	PUNCT
ejpam-4748	142	7	and	and	CCONJ
ejpam-4748	142	8	choose	choose	VERB
ejpam-4748	142	9	x	x	X
ejpam-4748	142	10	,	,	PUNCT
ejpam-4748	142	11	y	y	PROPN
ejpam-4748	142	12	∈	∈	PROPN
ejpam-4748	142	13	v	v	ADP
ejpam-4748	142	14	(	(	PUNCT
ejpam-4748	142	15	g	g	NOUN
ejpam-4748	142	16	)	)	PUNCT
ejpam-4748	142	17	such	such	ADJ
ejpam-4748	142	18	that	that	SCONJ
ejpam-4748	142	19	xz	xz	PROPN
ejpam-4748	142	20	,	,	PUNCT
ejpam-4748	142	21	vy	vy	PROPN
ejpam-4748	142	22	∈	∈	PROPN
ejpam-4748	142	23	e(g	e(g	PROPN
ejpam-4748	142	24	)	)	PUNCT
ejpam-4748	142	25	.	.	PUNCT
ejpam-4748	143	1	then	then	ADV
ejpam-4748	143	2	x	x	X
ejpam-4748	143	3	,	,	PUNCT
ejpam-4748	143	4	y	y	PROPN
ejpam-4748	143	5	∈	∈	PROPN
ejpam-4748	143	6	sz	sz	PROPN
ejpam-4748	143	7	.	.	PUNCT
ejpam-4748	144	1	since	since	SCONJ
ejpam-4748	144	2	v	v	NUM
ejpam-4748	144	3	/∈	/∈	PUNCT
ejpam-4748	144	4	l(g	l(g	NOUN
ejpam-4748	144	5	)	)	PUNCT
ejpam-4748	144	6	∪	∪	ADP
ejpam-4748	144	7	s(g	s(g	PROPN
ejpam-4748	144	8	)	)	PUNCT
ejpam-4748	144	9	,	,	PUNCT
ejpam-4748	144	10	degg(v	degg(v	PROPN
ejpam-4748	144	11	)	)	PUNCT
ejpam-4748	144	12	≥	≥	NOUN
ejpam-4748	144	13	2	2	NUM
ejpam-4748	144	14	.	.	PUNCT
ejpam-4748	145	1	hence	hence	ADV
ejpam-4748	145	2	there	there	PRON
ejpam-4748	145	3	exists	exist	VERB
ejpam-4748	145	4	x	x	X
ejpam-4748	145	5	∈	∈	PROPN
ejpam-4748	145	6	v	v	NOUN
ejpam-4748	145	7	(	(	PUNCT
ejpam-4748	145	8	g)\{v	g)\{v	PROPN
ejpam-4748	145	9	,	,	PUNCT
ejpam-4748	145	10	z	z	NOUN
ejpam-4748	145	11	}	}	PUNCT
ejpam-4748	145	12	=	=	PUNCT
ejpam-4748	145	13	sz	sz	NOUN
ejpam-4748	145	14	such	such	ADJ
ejpam-4748	145	15	that	that	SCONJ
ejpam-4748	145	16	xz	xz	PROPN
ejpam-4748	145	17	∈	∈	PROPN
ejpam-4748	145	18	e(g	e(g	PROPN
ejpam-4748	145	19	)	)	PUNCT
ejpam-4748	145	20	.	.	PUNCT
ejpam-4748	146	1	since	since	SCONJ
ejpam-4748	146	2	v	v	NUM
ejpam-4748	146	3	/∈	/∈	PUNCT
ejpam-4748	146	4	s(g	s(g	PROPN
ejpam-4748	146	5	)	)	PUNCT
ejpam-4748	146	6	,	,	PUNCT
ejpam-4748	146	7	ng(z	ng(z	NUM
ejpam-4748	146	8	)	)	PUNCT
ejpam-4748	146	9	̸=	̸=	PROPN
ejpam-4748	146	10	{	{	PUNCT
ejpam-4748	146	11	v	v	NOUN
ejpam-4748	146	12	}	}	PUNCT
ejpam-4748	146	13	.	.	PUNCT
ejpam-4748	147	1	hence	hence	ADV
ejpam-4748	147	2	,	,	PUNCT
ejpam-4748	147	3	there	there	PRON
ejpam-4748	147	4	exists	exist	VERB
ejpam-4748	147	5	y	y	PROPN
ejpam-4748	147	6	∈	∈	PROPN
ejpam-4748	147	7	sz	sz	NOUN
ejpam-4748	147	8	such	such	ADJ
ejpam-4748	147	9	that	that	SCONJ
ejpam-4748	147	10	yz	yz	PROPN
ejpam-4748	147	11	∈	∈	PROPN
ejpam-4748	147	12	e(g	e(g	PROPN
ejpam-4748	147	13	)	)	PUNCT
ejpam-4748	147	14	.	.	PUNCT
ejpam-4748	148	1	thus	thus	ADV
ejpam-4748	148	2	,	,	PUNCT
ejpam-4748	148	3	sz	sz	PROPN
ejpam-4748	148	4	is	be	AUX
ejpam-4748	148	5	a	a	DET
ejpam-4748	148	6	dominating	dominating	NOUN
ejpam-4748	148	7	set	set	NOUN
ejpam-4748	148	8	of	of	ADP
ejpam-4748	148	9	g.	g.	PROPN
ejpam-4748	148	10	since	since	SCONJ
ejpam-4748	148	11	m.	m.	PROPN
ejpam-4748	148	12	ortega	ortega	PROPN
ejpam-4748	148	13	,	,	PUNCT
ejpam-4748	148	14	g.	g.	PROPN
ejpam-4748	148	15	malacas	malacas	PROPN
ejpam-4748	148	16	,	,	PUNCT
ejpam-4748	148	17	s.	s.	PROPN
ejpam-4748	148	18	canoy	canoy	PROPN
ejpam-4748	148	19	,	,	PUNCT
ejpam-4748	148	20	jr	jr	PROPN
ejpam-4748	148	21	.	.	PROPN
ejpam-4748	148	22	/	/	SYM
ejpam-4748	148	23	eur	eur	PROPN
ejpam-4748	148	24	.	.	PUNCT
ejpam-4748	149	1	j.	j.	PROPN
ejpam-4748	149	2	pure	pure	PROPN
ejpam-4748	149	3	appl	appl	PROPN
ejpam-4748	149	4	.	.	PROPN
ejpam-4748	149	5	math	math	PROPN
ejpam-4748	149	6	,	,	PUNCT
ejpam-4748	149	7	16	16	NUM
ejpam-4748	149	8	(	(	PUNCT
ejpam-4748	149	9	3	3	NUM
ejpam-4748	149	10	)	)	PUNCT
ejpam-4748	149	11	(	(	PUNCT
ejpam-4748	149	12	2023	2023	NUM
ejpam-4748	149	13	)	)	PUNCT
ejpam-4748	149	14	,	,	PUNCT
ejpam-4748	149	15	1685	1685	NUM
ejpam-4748	149	16	-	-	SYM
ejpam-4748	149	17	1694	1694	NUM
ejpam-4748	149	18	1689	1689	NUM
ejpam-4748	149	19	sz	sz	NOUN
ejpam-4748	149	20	is	be	AUX
ejpam-4748	149	21	a	a	DET
ejpam-4748	149	22	locating	locating	NOUN
ejpam-4748	149	23	set	set	VERB
ejpam-4748	149	24	in	in	ADP
ejpam-4748	149	25	g	g	NOUN
ejpam-4748	149	26	,	,	PUNCT
ejpam-4748	149	27	sz	sz	PROPN
ejpam-4748	149	28	is	be	AUX
ejpam-4748	149	29	a	a	DET
ejpam-4748	149	30	locating	locating	NOUN
ejpam-4748	149	31	set	set	VERB
ejpam-4748	149	32	in	in	ADP
ejpam-4748	149	33	g	g	NOUN
ejpam-4748	149	34	by	by	ADP
ejpam-4748	149	35	lemma	lemma	PROPN
ejpam-4748	149	36	1	1	NUM
ejpam-4748	149	37	.	.	PUNCT
ejpam-4748	150	1	this	this	PRON
ejpam-4748	150	2	shows	show	VERB
ejpam-4748	150	3	that	that	SCONJ
ejpam-4748	150	4	s	s	VERB
ejpam-4748	150	5	is	be	AUX
ejpam-4748	150	6	a	a	DET
ejpam-4748	150	7	stable	stable	ADJ
ejpam-4748	150	8	locating	locating	NOUN
ejpam-4748	150	9	-	-	PUNCT
ejpam-4748	150	10	dominating	dominating	NOUN
ejpam-4748	150	11	set	set	NOUN
ejpam-4748	150	12	in	in	ADP
ejpam-4748	150	13	g.	g.	PROPN
ejpam-4748	150	14	therefore	therefore	ADV
ejpam-4748	150	15	,	,	PUNCT
ejpam-4748	150	16	s	s	VERB
ejpam-4748	150	17	is	be	AUX
ejpam-4748	150	18	a	a	DET
ejpam-4748	150	19	global	global	ADJ
ejpam-4748	150	20	stable	stable	ADJ
ejpam-4748	150	21	locating	locating	NOUN
ejpam-4748	150	22	-	-	PUNCT
ejpam-4748	150	23	dominating	dominating	NOUN
ejpam-4748	150	24	set	set	NOUN
ejpam-4748	150	25	in	in	ADP
ejpam-4748	150	26	g	g	PROPN
ejpam-4748	150	27	and	and	CCONJ
ejpam-4748	150	28	λs	λs	NOUN
ejpam-4748	150	29	gl(g	gl(g	NOUN
ejpam-4748	150	30	)	)	PUNCT
ejpam-4748	150	31	≤	≤	NUM
ejpam-4748	150	32	|s|	|s|	PROPN
ejpam-4748	150	33	=	=	SYM
ejpam-4748	150	34	n−	n−	NOUN
ejpam-4748	150	35	1	1	NUM
ejpam-4748	150	36	,	,	PUNCT
ejpam-4748	150	37	a	a	DET
ejpam-4748	150	38	contradiction	contradiction	NOUN
ejpam-4748	150	39	.	.	PUNCT
ejpam-4748	151	1	therefore	therefore	ADV
ejpam-4748	151	2	,	,	PUNCT
ejpam-4748	151	3	γsl	γsl	VERB
ejpam-4748	151	4	(	(	PUNCT
ejpam-4748	151	5	g	g	NOUN
ejpam-4748	151	6	)	)	PUNCT
ejpam-4748	151	7	=	=	VERB
ejpam-4748	151	8	n.	n.	NOUN
ejpam-4748	151	9	conversely	conversely	ADV
ejpam-4748	151	10	,	,	PUNCT
ejpam-4748	151	11	suppose	suppose	VERB
ejpam-4748	151	12	that	that	SCONJ
ejpam-4748	151	13	γsl	γsl	VERB
ejpam-4748	151	14	(	(	PUNCT
ejpam-4748	151	15	g	g	NOUN
ejpam-4748	151	16	)	)	PUNCT
ejpam-4748	151	17	=	=	VERB
ejpam-4748	152	1	n.	n.	VERB
ejpam-4748	152	2	by	by	ADP
ejpam-4748	152	3	remark	remark	NOUN
ejpam-4748	152	4	1	1	NUM
ejpam-4748	152	5	,	,	PUNCT
ejpam-4748	152	6	λs	λs	NOUN
ejpam-4748	152	7	gl(g	gl(g	NOUN
ejpam-4748	152	8	)	)	PUNCT
ejpam-4748	153	1	=	=	PUNCT
ejpam-4748	153	2	n.	n.	NOUN
ejpam-4748	153	3	□	□	PUNCT
ejpam-4748	153	4	remark	remark	NOUN
ejpam-4748	153	5	4	4	NUM
ejpam-4748	153	6	.	.	PUNCT
ejpam-4748	153	7	theorem	theorem	NOUN
ejpam-4748	153	8	2	2	NUM
ejpam-4748	153	9	may	may	AUX
ejpam-4748	153	10	not	not	PART
ejpam-4748	153	11	hold	hold	VERB
ejpam-4748	153	12	if	if	SCONJ
ejpam-4748	153	13	the	the	DET
ejpam-4748	153	14	condition	condition	NOUN
ejpam-4748	153	15	∆(g	∆(g	NOUN
ejpam-4748	153	16	)	)	PUNCT
ejpam-4748	153	17	≤	≤	NUM
ejpam-4748	153	18	n−	n−	NOUN
ejpam-4748	153	19	3	3	NUM
ejpam-4748	153	20	is	be	AUX
ejpam-4748	153	21	removed	remove	VERB
ejpam-4748	153	22	.	.	PUNCT
ejpam-4748	154	1	to	to	PART
ejpam-4748	154	2	see	see	VERB
ejpam-4748	154	3	this	this	PRON
ejpam-4748	154	4	,	,	PUNCT
ejpam-4748	154	5	consider	consider	VERB
ejpam-4748	154	6	the	the	DET
ejpam-4748	154	7	graphs	graph	NOUN
ejpam-4748	154	8	g	g	NOUN
ejpam-4748	154	9	and	and	CCONJ
ejpam-4748	154	10	g	g	PROPN
ejpam-4748	154	11	shown	show	VERB
ejpam-4748	154	12	in	in	ADP
ejpam-4748	154	13	figure	figure	NOUN
ejpam-4748	154	14	1	1	NUM
ejpam-4748	154	15	.	.	PUNCT
ejpam-4748	154	16	note	note	VERB
ejpam-4748	154	17	that	that	SCONJ
ejpam-4748	154	18	∆(g	∆(g	NOUN
ejpam-4748	154	19	)	)	PUNCT
ejpam-4748	155	1	=	=	SYM
ejpam-4748	155	2	|v	|v	PROPN
ejpam-4748	155	3	(	(	PUNCT
ejpam-4748	155	4	g)|	g)|	INTJ
ejpam-4748	155	5	−	−	PROPN
ejpam-4748	155	6	2	2	NUM
ejpam-4748	155	7	and	and	CCONJ
ejpam-4748	155	8	γsl	γsl	VERB
ejpam-4748	155	9	(	(	PUNCT
ejpam-4748	155	10	g	g	NOUN
ejpam-4748	155	11	)	)	PUNCT
ejpam-4748	155	12	̸=	̸=	PROPN
ejpam-4748	155	13	5	5	NUM
ejpam-4748	155	14	but	but	CCONJ
ejpam-4748	155	15	λs	λs	NOUN
ejpam-4748	155	16	gl(g	gl(g	NOUN
ejpam-4748	155	17	)	)	PUNCT
ejpam-4748	155	18	=	=	SYM
ejpam-4748	155	19	5	5	NUM
ejpam-4748	155	20	=	=	SYM
ejpam-4748	155	21	|v	|v	X
ejpam-4748	155	22	(	(	PUNCT
ejpam-4748	155	23	g)|	g)|	PROPN
ejpam-4748	155	24	.	.	PUNCT
ejpam-4748	155	25	corollary	corollary	NOUN
ejpam-4748	155	26	2	2	NUM
ejpam-4748	155	27	.	.	PUNCT
ejpam-4748	156	1	let	let	VERB
ejpam-4748	156	2	g	g	PRON
ejpam-4748	156	3	be	be	AUX
ejpam-4748	156	4	a	a	DET
ejpam-4748	156	5	non	non	ADJ
ejpam-4748	156	6	-	-	ADJ
ejpam-4748	156	7	trivial	trivial	ADJ
ejpam-4748	156	8	connected	connected	ADJ
ejpam-4748	156	9	graph	graph	NOUN
ejpam-4748	156	10	of	of	ADP
ejpam-4748	156	11	order	order	NOUN
ejpam-4748	156	12	n	n	NOUN
ejpam-4748	156	13	=	=	SYM
ejpam-4748	156	14	4	4	X
ejpam-4748	156	15	.	.	PUNCT
ejpam-4748	156	16	then	then	ADV
ejpam-4748	156	17	λs	λs	ADP
ejpam-4748	156	18	gl(g	gl(g	PUNCT
ejpam-4748	156	19	)	)	PUNCT
ejpam-4748	157	1	=	=	SYM
ejpam-4748	157	2	4	4	NUM
ejpam-4748	157	3	if	if	SCONJ
ejpam-4748	157	4	and	and	CCONJ
ejpam-4748	157	5	only	only	ADV
ejpam-4748	157	6	if	if	SCONJ
ejpam-4748	157	7	g	g	PROPN
ejpam-4748	157	8	=	=	SYM
ejpam-4748	157	9	c4	c4	NOUN
ejpam-4748	157	10	or	or	CCONJ
ejpam-4748	157	11	g	g	NOUN
ejpam-4748	157	12	=	=	PUNCT
ejpam-4748	157	13	p4	p4	ADJ
ejpam-4748	157	14	.	.	PUNCT
ejpam-4748	158	1	theorem	theorem	NOUN
ejpam-4748	158	2	3	3	NUM
ejpam-4748	158	3	.	.	PUNCT
ejpam-4748	159	1	[	[	X
ejpam-4748	159	2	1	1	X
ejpam-4748	159	3	]	]	PUNCT
ejpam-4748	159	4	let	let	VERB
ejpam-4748	159	5	g	g	NOUN
ejpam-4748	159	6	and	and	CCONJ
ejpam-4748	159	7	h	h	PROPN
ejpam-4748	159	8	be	be	VERB
ejpam-4748	159	9	non	non	ADJ
ejpam-4748	159	10	-	-	ADJ
ejpam-4748	159	11	trivial	trivial	ADJ
ejpam-4748	159	12	graphs	graph	NOUN
ejpam-4748	159	13	.	.	PUNCT
ejpam-4748	160	1	a	a	DET
ejpam-4748	160	2	set	set	NOUN
ejpam-4748	160	3	s	s	PART
ejpam-4748	160	4	is	be	AUX
ejpam-4748	160	5	a	a	DET
ejpam-4748	160	6	stable	stable	ADJ
ejpam-4748	160	7	locating	locating	NOUN
ejpam-4748	160	8	-	-	PUNCT
ejpam-4748	160	9	dominating	dominate	VERB
ejpam-4748	160	10	set	set	NOUN
ejpam-4748	160	11	of	of	ADP
ejpam-4748	160	12	g+h	g+h	PROPN
ejpam-4748	160	13	if	if	SCONJ
ejpam-4748	160	14	and	and	CCONJ
ejpam-4748	160	15	only	only	ADV
ejpam-4748	160	16	if	if	SCONJ
ejpam-4748	160	17	s	s	VERB
ejpam-4748	160	18	=	=	PUNCT
ejpam-4748	160	19	sg	sg	PART
ejpam-4748	160	20	∪	∪	NOUN
ejpam-4748	160	21	sh	sh	PROPN
ejpam-4748	160	22	and	and	CCONJ
ejpam-4748	160	23	sg	sg	PROPN
ejpam-4748	160	24	and	and	CCONJ
ejpam-4748	160	25	sh	sh	PROPN
ejpam-4748	160	26	are	be	AUX
ejpam-4748	160	27	stable	stable	ADJ
ejpam-4748	160	28	locating	locating	NOUN
ejpam-4748	160	29	sets	set	NOUN
ejpam-4748	160	30	of	of	ADP
ejpam-4748	160	31	g	g	PROPN
ejpam-4748	160	32	and	and	CCONJ
ejpam-4748	160	33	h	h	NOUN
ejpam-4748	160	34	,	,	PUNCT
ejpam-4748	160	35	respectively	respectively	ADV
ejpam-4748	160	36	,	,	PUNCT
ejpam-4748	160	37	and	and	CCONJ
ejpam-4748	160	38	at	at	ADV
ejpam-4748	160	39	least	least	ADJ
ejpam-4748	160	40	one	one	NUM
ejpam-4748	160	41	of	of	ADP
ejpam-4748	160	42	them	they	PRON
ejpam-4748	160	43	is	be	AUX
ejpam-4748	160	44	a	a	DET
ejpam-4748	160	45	stable	stable	ADJ
ejpam-4748	160	46	strictly	strictly	ADV
ejpam-4748	160	47	locating	locate	VERB
ejpam-4748	160	48	set	set	VERB
ejpam-4748	160	49	or	or	CCONJ
ejpam-4748	160	50	both	both	PRON
ejpam-4748	160	51	of	of	ADP
ejpam-4748	160	52	them	they	PRON
ejpam-4748	160	53	are	be	AUX
ejpam-4748	160	54	strictly	strictly	ADV
ejpam-4748	160	55	locating	locate	VERB
ejpam-4748	160	56	sets	set	NOUN
ejpam-4748	160	57	.	.	PUNCT
ejpam-4748	161	1	proposition	proposition	NOUN
ejpam-4748	161	2	3	3	NUM
ejpam-4748	161	3	.	.	PUNCT
ejpam-4748	162	1	let	let	VERB
ejpam-4748	162	2	g	g	NOUN
ejpam-4748	162	3	and	and	CCONJ
ejpam-4748	162	4	h	h	PROPN
ejpam-4748	162	5	be	be	VERB
ejpam-4748	162	6	non	non	ADJ
ejpam-4748	162	7	-	-	ADJ
ejpam-4748	162	8	trivial	trivial	ADJ
ejpam-4748	162	9	graphs	graph	NOUN
ejpam-4748	162	10	.	.	PUNCT
ejpam-4748	163	1	then	then	ADV
ejpam-4748	163	2	g	g	PROPN
ejpam-4748	163	3	+	+	PROPN
ejpam-4748	163	4	h	h	PROPN
ejpam-4748	163	5	admits	admit	VERB
ejpam-4748	163	6	a	a	DET
ejpam-4748	163	7	global	global	ADJ
ejpam-4748	163	8	stable	stable	ADJ
ejpam-4748	163	9	locating	locating	NOUN
ejpam-4748	163	10	-	-	PUNCT
ejpam-4748	163	11	dominating	dominating	NOUN
ejpam-4748	163	12	set	set	NOUN
ejpam-4748	163	13	if	if	SCONJ
ejpam-4748	163	14	and	and	CCONJ
ejpam-4748	163	15	only	only	ADV
ejpam-4748	163	16	if	if	SCONJ
ejpam-4748	163	17	g	g	PROPN
ejpam-4748	163	18	and	and	CCONJ
ejpam-4748	163	19	h	h	PROPN
ejpam-4748	163	20	admit	admit	VERB
ejpam-4748	163	21	a	a	DET
ejpam-4748	163	22	stable	stable	ADJ
ejpam-4748	163	23	strictly	strictly	ADV
ejpam-4748	163	24	locating	locate	VERB
ejpam-4748	163	25	set	set	NOUN
ejpam-4748	163	26	.	.	PUNCT
ejpam-4748	164	1	moreover	moreover	ADV
ejpam-4748	164	2	,	,	PUNCT
ejpam-4748	164	3	s	s	VERB
ejpam-4748	164	4	⊆	⊆	NUM
ejpam-4748	164	5	v	v	NOUN
ejpam-4748	164	6	(	(	PUNCT
ejpam-4748	164	7	g+h	g+h	PROPN
ejpam-4748	164	8	)	)	PUNCT
ejpam-4748	164	9	is	be	AUX
ejpam-4748	164	10	a	a	DET
ejpam-4748	164	11	global	global	ADJ
ejpam-4748	164	12	stable	stable	ADJ
ejpam-4748	164	13	locating	locating	NOUN
ejpam-4748	164	14	-	-	PUNCT
ejpam-4748	164	15	dominating	dominating	NOUN
ejpam-4748	164	16	set	set	NOUN
ejpam-4748	164	17	in	in	ADP
ejpam-4748	164	18	g+h	g+h	PROPN
ejpam-4748	164	19	if	if	SCONJ
ejpam-4748	164	20	and	and	CCONJ
ejpam-4748	164	21	only	only	ADV
ejpam-4748	164	22	if	if	SCONJ
ejpam-4748	164	23	s	s	NOUN
ejpam-4748	164	24	=	=	X
ejpam-4748	164	25	a∪b	a∪b	ADJ
ejpam-4748	164	26	,	,	PUNCT
ejpam-4748	164	27	where	where	SCONJ
ejpam-4748	164	28	a	a	PRON
ejpam-4748	164	29	and	and	CCONJ
ejpam-4748	164	30	b	b	NOUN
ejpam-4748	164	31	are	be	AUX
ejpam-4748	164	32	stable	stable	ADJ
ejpam-4748	164	33	strictly	strictly	ADV
ejpam-4748	164	34	locating	locate	VERB
ejpam-4748	164	35	sets	set	NOUN
ejpam-4748	164	36	in	in	ADP
ejpam-4748	164	37	g	g	PROPN
ejpam-4748	164	38	and	and	CCONJ
ejpam-4748	164	39	h	h	NOUN
ejpam-4748	164	40	,	,	PUNCT
ejpam-4748	164	41	respectively	respectively	ADV
ejpam-4748	164	42	.	.	PUNCT
ejpam-4748	165	1	proof	proof	NOUN
ejpam-4748	165	2	.	.	PUNCT
ejpam-4748	166	1	suppose	suppose	VERB
ejpam-4748	166	2	that	that	SCONJ
ejpam-4748	166	3	g	g	PROPN
ejpam-4748	166	4	+	+	PROPN
ejpam-4748	166	5	h	h	PROPN
ejpam-4748	166	6	admits	admit	VERB
ejpam-4748	166	7	a	a	DET
ejpam-4748	166	8	global	global	ADJ
ejpam-4748	166	9	stable	stable	ADJ
ejpam-4748	166	10	locating	locating	NOUN
ejpam-4748	166	11	-	-	PUNCT
ejpam-4748	166	12	dominating	dominating	NOUN
ejpam-4748	166	13	set	set	NOUN
ejpam-4748	166	14	,	,	PUNCT
ejpam-4748	166	15	say	say	VERB
ejpam-4748	166	16	s.	s.	PROPN
ejpam-4748	166	17	then	then	ADV
ejpam-4748	166	18	s	s	VERB
ejpam-4748	166	19	is	be	AUX
ejpam-4748	166	20	a	a	DET
ejpam-4748	166	21	stable	stable	ADJ
ejpam-4748	166	22	locating	locating	NOUN
ejpam-4748	166	23	-	-	PUNCT
ejpam-4748	166	24	dominating	dominating	NOUN
ejpam-4748	166	25	set	set	NOUN
ejpam-4748	166	26	in	in	ADP
ejpam-4748	166	27	g+h	g+h	PROPN
ejpam-4748	166	28	.	.	PUNCT
ejpam-4748	167	1	by	by	ADP
ejpam-4748	167	2	theorem	theorem	NOUN
ejpam-4748	167	3	3	3	NUM
ejpam-4748	167	4	,	,	PUNCT
ejpam-4748	167	5	a	a	PRON
ejpam-4748	167	6	and	and	CCONJ
ejpam-4748	167	7	b	b	NOUN
ejpam-4748	167	8	are	be	AUX
ejpam-4748	167	9	stable	stable	ADJ
ejpam-4748	167	10	locating	locating	NOUN
ejpam-4748	167	11	sets	set	NOUN
ejpam-4748	167	12	in	in	ADP
ejpam-4748	167	13	g	g	PROPN
ejpam-4748	167	14	and	and	CCONJ
ejpam-4748	167	15	h	h	NOUN
ejpam-4748	167	16	,	,	PUNCT
ejpam-4748	167	17	respectively	respectively	ADV
ejpam-4748	167	18	.	.	PUNCT
ejpam-4748	168	1	now	now	ADV
ejpam-4748	168	2	,	,	PUNCT
ejpam-4748	168	3	suppose	suppose	VERB
ejpam-4748	168	4	that	that	SCONJ
ejpam-4748	168	5	a	a	PRON
ejpam-4748	168	6	is	be	AUX
ejpam-4748	168	7	not	not	PART
ejpam-4748	168	8	a	a	DET
ejpam-4748	168	9	stable	stable	ADJ
ejpam-4748	168	10	strictly	strictly	ADV
ejpam-4748	168	11	locating	locate	VERB
ejpam-4748	168	12	set	set	NOUN
ejpam-4748	168	13	.	.	PUNCT
ejpam-4748	169	1	let	let	VERB
ejpam-4748	169	2	w	w	NOUN
ejpam-4748	169	3	∈	∈	PROPN
ejpam-4748	169	4	a	a	PRON
ejpam-4748	169	5	and	and	CCONJ
ejpam-4748	169	6	set	set	VERB
ejpam-4748	170	1	aw	aw	INTJ
ejpam-4748	170	2	=	=	SYM
ejpam-4748	170	3	a\{w	a\{w	NOUN
ejpam-4748	170	4	}	}	PUNCT
ejpam-4748	170	5	.	.	PUNCT
ejpam-4748	171	1	since	since	SCONJ
ejpam-4748	171	2	a	a	PRON
ejpam-4748	171	3	is	be	AUX
ejpam-4748	171	4	not	not	PART
ejpam-4748	171	5	a	a	DET
ejpam-4748	171	6	stable	stable	ADJ
ejpam-4748	171	7	strictly	strictly	ADV
ejpam-4748	171	8	locating	locate	VERB
ejpam-4748	171	9	set	set	NOUN
ejpam-4748	171	10	,	,	PUNCT
ejpam-4748	171	11	there	there	PRON
ejpam-4748	171	12	exists	exist	VERB
ejpam-4748	171	13	z	z	PROPN
ejpam-4748	171	14	∈	∈	PROPN
ejpam-4748	171	15	v	v	NOUN
ejpam-4748	171	16	(	(	PUNCT
ejpam-4748	171	17	g)\aw	g)\aw	PROPN
ejpam-4748	171	18	such	such	ADJ
ejpam-4748	171	19	that	that	SCONJ
ejpam-4748	171	20	ng(z	ng(z	NUM
ejpam-4748	171	21	)	)	PUNCT
ejpam-4748	171	22	∩	∩	NOUN
ejpam-4748	172	1	aw	aw	INTJ
ejpam-4748	172	2	=	=	SYM
ejpam-4748	172	3	aw	aw	INTJ
ejpam-4748	172	4	.	.	PUNCT
ejpam-4748	173	1	this	this	PRON
ejpam-4748	173	2	implies	imply	VERB
ejpam-4748	173	3	that	that	SCONJ
ejpam-4748	173	4	ng(z	ng(z	NUM
ejpam-4748	173	5	)	)	PUNCT
ejpam-4748	173	6	∩	∩	NOUN
ejpam-4748	173	7	aw	aw	INTJ
ejpam-4748	173	8	=	=	NOUN
ejpam-4748	173	9	∅	∅	NOUN
ejpam-4748	173	10	,	,	PUNCT
ejpam-4748	173	11	a	a	DET
ejpam-4748	173	12	contradiction	contradiction	NOUN
ejpam-4748	173	13	since	since	SCONJ
ejpam-4748	173	14	g+h	g+h	PROPN
ejpam-4748	173	15	=	=	SYM
ejpam-4748	174	1	g	g	PROPN
ejpam-4748	174	2	∪h	∪h	NUM
ejpam-4748	174	3	is	be	AUX
ejpam-4748	174	4	a	a	DET
ejpam-4748	174	5	stable	stable	ADJ
ejpam-4748	174	6	locating	locating	NOUN
ejpam-4748	174	7	-	-	PUNCT
ejpam-4748	174	8	dominating	dominating	NOUN
ejpam-4748	174	9	set	set	NOUN
ejpam-4748	174	10	.	.	PUNCT
ejpam-4748	175	1	thus	thus	ADV
ejpam-4748	175	2	,	,	PUNCT
ejpam-4748	175	3	a	a	PRON
ejpam-4748	175	4	is	be	AUX
ejpam-4748	175	5	a	a	DET
ejpam-4748	175	6	stable	stable	ADJ
ejpam-4748	175	7	strictly	strictly	ADV
ejpam-4748	175	8	locating	locate	VERB
ejpam-4748	175	9	set	set	VERB
ejpam-4748	175	10	in	in	ADP
ejpam-4748	175	11	g.	g.	PROPN
ejpam-4748	175	12	similarly	similarly	ADV
ejpam-4748	175	13	,	,	PUNCT
ejpam-4748	175	14	b	b	PROPN
ejpam-4748	175	15	is	be	AUX
ejpam-4748	175	16	a	a	DET
ejpam-4748	175	17	stable	stable	ADJ
ejpam-4748	175	18	strictly	strictly	ADV
ejpam-4748	175	19	locating	locate	VERB
ejpam-4748	175	20	set	set	VERB
ejpam-4748	175	21	in	in	ADP
ejpam-4748	175	22	h.	h.	NOUN
ejpam-4748	175	23	conversely	conversely	ADV
ejpam-4748	175	24	,	,	PUNCT
ejpam-4748	175	25	suppose	suppose	VERB
ejpam-4748	175	26	that	that	SCONJ
ejpam-4748	175	27	s	s	VERB
ejpam-4748	175	28	=	=	PUNCT
ejpam-4748	175	29	a′	a′	NOUN
ejpam-4748	175	30	∪	∪	ADP
ejpam-4748	175	31	b′	b′	NUM
ejpam-4748	175	32	,	,	PUNCT
ejpam-4748	175	33	where	where	SCONJ
ejpam-4748	175	34	a′	a′	PROPN
ejpam-4748	175	35	and	and	CCONJ
ejpam-4748	175	36	b′	b′	NOUN
ejpam-4748	175	37	are	be	AUX
ejpam-4748	175	38	stable	stable	ADJ
ejpam-4748	175	39	strictly	strictly	ADV
ejpam-4748	175	40	locating	locate	VERB
ejpam-4748	175	41	sets	set	NOUN
ejpam-4748	175	42	in	in	ADP
ejpam-4748	175	43	g	g	PROPN
ejpam-4748	175	44	and	and	CCONJ
ejpam-4748	175	45	h	h	NOUN
ejpam-4748	175	46	,	,	PUNCT
ejpam-4748	175	47	respectively	respectively	ADV
ejpam-4748	175	48	.	.	PUNCT
ejpam-4748	176	1	since	since	SCONJ
ejpam-4748	176	2	a′	a′	PROPN
ejpam-4748	176	3	is	be	AUX
ejpam-4748	176	4	stable	stable	ADJ
ejpam-4748	176	5	strictly	strictly	ADV
ejpam-4748	176	6	locating	locate	VERB
ejpam-4748	176	7	set	set	VERB
ejpam-4748	176	8	in	in	ADP
ejpam-4748	176	9	g	g	NOUN
ejpam-4748	176	10	,	,	PUNCT
ejpam-4748	176	11	a′	a′	PROPN
ejpam-4748	176	12	is	be	AUX
ejpam-4748	176	13	a	a	DET
ejpam-4748	176	14	stable	stable	ADJ
ejpam-4748	176	15	locating	locating	NOUN
ejpam-4748	176	16	set	set	NOUN
ejpam-4748	176	17	and	and	CCONJ
ejpam-4748	176	18	a	a	DET
ejpam-4748	176	19	strictly	strictly	ADV
ejpam-4748	176	20	locating	locate	VERB
ejpam-4748	176	21	set	set	NOUN
ejpam-4748	176	22	.	.	PUNCT
ejpam-4748	177	1	similarly	similarly	ADV
ejpam-4748	177	2	,	,	PUNCT
ejpam-4748	177	3	since	since	SCONJ
ejpam-4748	177	4	b′	b′	NOUN
ejpam-4748	177	5	is	be	AUX
ejpam-4748	177	6	stable	stable	ADJ
ejpam-4748	177	7	strictly	strictly	ADV
ejpam-4748	177	8	locating	locate	VERB
ejpam-4748	177	9	set	set	VERB
ejpam-4748	177	10	in	in	ADP
ejpam-4748	177	11	h	h	NOUN
ejpam-4748	177	12	,	,	PUNCT
ejpam-4748	177	13	b′	b′	NUM
ejpam-4748	177	14	is	be	AUX
ejpam-4748	177	15	a	a	DET
ejpam-4748	177	16	stable	stable	ADJ
ejpam-4748	177	17	locating	locating	NOUN
ejpam-4748	177	18	set	set	NOUN
ejpam-4748	177	19	and	and	CCONJ
ejpam-4748	177	20	a	a	DET
ejpam-4748	177	21	strictly	strictly	ADV
ejpam-4748	177	22	locating	locate	VERB
ejpam-4748	177	23	set	set	NOUN
ejpam-4748	177	24	.	.	PUNCT
ejpam-4748	178	1	by	by	ADP
ejpam-4748	178	2	theorem	theorem	NOUN
ejpam-4748	178	3	3	3	NUM
ejpam-4748	178	4	,	,	PUNCT
ejpam-4748	178	5	s	s	VERB
ejpam-4748	178	6	is	be	AUX
ejpam-4748	178	7	a	a	DET
ejpam-4748	178	8	stable	stable	ADJ
ejpam-4748	178	9	locating	locating	NOUN
ejpam-4748	178	10	-	-	PUNCT
ejpam-4748	178	11	dominating	dominating	NOUN
ejpam-4748	178	12	set	set	NOUN
ejpam-4748	178	13	in	in	ADP
ejpam-4748	178	14	g	g	PROPN
ejpam-4748	178	15	+	+	CCONJ
ejpam-4748	178	16	h.	h.	PROPN
ejpam-4748	178	17	since	since	SCONJ
ejpam-4748	178	18	a′	a′	PROPN
ejpam-4748	178	19	and	and	CCONJ
ejpam-4748	178	20	b′	b′	NOUN
ejpam-4748	178	21	are	be	AUX
ejpam-4748	178	22	strictly	strictly	ADV
ejpam-4748	178	23	locating	locate	VERB
ejpam-4748	178	24	sets	set	NOUN
ejpam-4748	178	25	,	,	PUNCT
ejpam-4748	178	26	a′	a′	PROPN
ejpam-4748	178	27	and	and	CCONJ
ejpam-4748	178	28	b′	b′	NUM
ejpam-4748	178	29	are	be	AUX
ejpam-4748	178	30	dominating	dominate	VERB
ejpam-4748	178	31	sets	set	NOUN
ejpam-4748	178	32	in	in	ADP
ejpam-4748	178	33	g	g	PROPN
ejpam-4748	178	34	and	and	CCONJ
ejpam-4748	178	35	h	h	NOUN
ejpam-4748	178	36	,	,	PUNCT
ejpam-4748	178	37	respectively	respectively	ADV
ejpam-4748	178	38	.	.	PUNCT
ejpam-4748	179	1	hence	hence	ADV
ejpam-4748	179	2	,	,	PUNCT
ejpam-4748	179	3	s	s	VERB
ejpam-4748	179	4	is	be	AUX
ejpam-4748	179	5	a	a	DET
ejpam-4748	179	6	dominating	dominating	NOUN
ejpam-4748	179	7	set	set	VERB
ejpam-4748	179	8	in	in	ADP
ejpam-4748	179	9	g+h	g+h	PROPN
ejpam-4748	179	10	.	.	PUNCT
ejpam-4748	180	1	let	let	VERB
ejpam-4748	180	2	a	a	DET
ejpam-4748	180	3	,	,	PUNCT
ejpam-4748	180	4	b	b	PROPN
ejpam-4748	180	5	∈	∈	PROPN
ejpam-4748	180	6	v	v	NOUN
ejpam-4748	180	7	(	(	PUNCT
ejpam-4748	180	8	g+h)\s	g+h)\s	VERB
ejpam-4748	180	9	with	with	ADP
ejpam-4748	180	10	a	a	DET
ejpam-4748	180	11	̸=	̸=	PROPN
ejpam-4748	180	12	b.	b.	PROPN
ejpam-4748	180	13	suppose	suppose	VERB
ejpam-4748	180	14	that	that	SCONJ
ejpam-4748	180	15	a	a	DET
ejpam-4748	180	16	,	,	PUNCT
ejpam-4748	180	17	b	b	PROPN
ejpam-4748	180	18	∈	∈	PROPN
ejpam-4748	180	19	v	v	NOUN
ejpam-4748	180	20	(	(	PUNCT
ejpam-4748	180	21	g	g	NOUN
ejpam-4748	180	22	)	)	PUNCT
ejpam-4748	180	23	.	.	PUNCT
ejpam-4748	181	1	since	since	SCONJ
ejpam-4748	181	2	a′	a′	PROPN
ejpam-4748	181	3	is	be	AUX
ejpam-4748	181	4	a	a	DET
ejpam-4748	181	5	locating	locating	NOUN
ejpam-4748	181	6	set	set	NOUN
ejpam-4748	181	7	,	,	PUNCT
ejpam-4748	181	8	ng(a	ng(a	PRON
ejpam-4748	181	9	)	)	PUNCT
ejpam-4748	181	10	∩	∩	NOUN
ejpam-4748	181	11	a′	a′	PROPN
ejpam-4748	181	12	̸=	̸=	PROPN
ejpam-4748	181	13	ng(b	ng(b	CCONJ
ejpam-4748	181	14	)	)	PUNCT
ejpam-4748	181	15	∩	∩	NOUN
ejpam-4748	181	16	a′.	a′.	NOUN
ejpam-4748	181	17	hence	hence	ADV
ejpam-4748	181	18	,	,	PUNCT
ejpam-4748	181	19	ng+h(a	ng+h(a	NOUN
ejpam-4748	181	20	)	)	PUNCT
ejpam-4748	181	21	∩	∩	NOUN
ejpam-4748	181	22	s	s	PART
ejpam-4748	181	23	=	=	PUNCT
ejpam-4748	181	24	ng(a	ng(a	NOUN
ejpam-4748	181	25	)	)	PUNCT
ejpam-4748	181	26	∩	∩	NOUN
ejpam-4748	181	27	a′	a′	PROPN
ejpam-4748	181	28	̸=	̸=	PROPN
ejpam-4748	181	29	ng(b	ng(b	CCONJ
ejpam-4748	181	30	)	)	PUNCT
ejpam-4748	181	31	∩	∩	NOUN
ejpam-4748	181	32	a′	a′	PROPN
ejpam-4748	181	33	=	=	SYM
ejpam-4748	181	34	ng+h(b)∩	ng+h(b)∩	NOUN
ejpam-4748	181	35	s	s	PROPN
ejpam-4748	181	36	by	by	ADP
ejpam-4748	181	37	lemma	lemma	PROPN
ejpam-4748	181	38	1	1	NUM
ejpam-4748	181	39	.	.	PUNCT
ejpam-4748	181	40	similarly	similarly	ADV
ejpam-4748	181	41	,	,	PUNCT
ejpam-4748	181	42	ng+h(a)∩	ng+h(a)∩	PROPN
ejpam-4748	181	43	s	s	AUX
ejpam-4748	181	44	̸=	̸=	PROPN
ejpam-4748	181	45	ng+h(b)∩	ng+h(b)∩	NOUN
ejpam-4748	181	46	s	s	VERB
ejpam-4748	181	47	if	if	SCONJ
ejpam-4748	181	48	a	a	PRON
ejpam-4748	181	49	,	,	PUNCT
ejpam-4748	181	50	b	b	PROPN
ejpam-4748	181	51	∈	∈	PROPN
ejpam-4748	181	52	v	v	NOUN
ejpam-4748	181	53	(	(	PUNCT
ejpam-4748	181	54	h	h	NOUN
ejpam-4748	181	55	)	)	PUNCT
ejpam-4748	181	56	.	.	PUNCT
ejpam-4748	182	1	thus	thus	ADV
ejpam-4748	182	2	,	,	PUNCT
ejpam-4748	182	3	s	s	VERB
ejpam-4748	182	4	is	be	AUX
ejpam-4748	182	5	a	a	DET
ejpam-4748	182	6	locating	locating	NOUN
ejpam-4748	182	7	set	set	VERB
ejpam-4748	182	8	in	in	ADP
ejpam-4748	182	9	g+h	g+h	PROPN
ejpam-4748	182	10	=	=	PUNCT
ejpam-4748	183	1	g	g	PROPN
ejpam-4748	183	2	∪h	∪h	NUM
ejpam-4748	183	3	.	.	PUNCT
ejpam-4748	184	1	next	next	ADV
ejpam-4748	184	2	,	,	PUNCT
ejpam-4748	184	3	let	let	VERB
ejpam-4748	184	4	w	w	PROPN
ejpam-4748	184	5	∈	∈	NOUN
ejpam-4748	184	6	s	s	PART
ejpam-4748	184	7	and	and	CCONJ
ejpam-4748	184	8	set	set	VERB
ejpam-4748	184	9	sw	sw	NOUN
ejpam-4748	184	10	=	=	SYM
ejpam-4748	184	11	s\{w	s\{w	PROPN
ejpam-4748	184	12	}	}	PUNCT
ejpam-4748	184	13	.	.	PUNCT
ejpam-4748	185	1	suppose	suppose	VERB
ejpam-4748	185	2	w	w	PROPN
ejpam-4748	185	3	∈	∈	PROPN
ejpam-4748	185	4	a′	a′	NOUN
ejpam-4748	185	5	and	and	CCONJ
ejpam-4748	185	6	let	let	VERB
ejpam-4748	185	7	aw′	aw′	NOUN
ejpam-4748	185	8	=	=	SYM
ejpam-4748	185	9	a\{w	a\{w	NOUN
ejpam-4748	185	10	}	}	PUNCT
ejpam-4748	185	11	.	.	PUNCT
ejpam-4748	186	1	since	since	SCONJ
ejpam-4748	186	2	a	a	PRON
ejpam-4748	186	3	is	be	AUX
ejpam-4748	186	4	a	a	DET
ejpam-4748	186	5	stable	stable	ADJ
ejpam-4748	186	6	strictly	strictly	ADV
ejpam-4748	186	7	locating	locate	VERB
ejpam-4748	186	8	set	set	VERB
ejpam-4748	186	9	in	in	ADP
ejpam-4748	186	10	g	g	NOUN
ejpam-4748	186	11	,	,	PUNCT
ejpam-4748	186	12	aw′	aw′	PROPN
ejpam-4748	186	13	is	be	AUX
ejpam-4748	186	14	a	a	DET
ejpam-4748	186	15	strictly	strictly	ADV
ejpam-4748	186	16	locating	locate	VERB
ejpam-4748	186	17	set	set	NOUN
ejpam-4748	186	18	.	.	PUNCT
ejpam-4748	187	1	hence	hence	ADV
ejpam-4748	187	2	,	,	PUNCT
ejpam-4748	187	3	aw′	aw′	PROPN
ejpam-4748	187	4	is	be	AUX
ejpam-4748	187	5	a	a	DET
ejpam-4748	187	6	dominating	dominating	NOUN
ejpam-4748	187	7	set	set	VERB
ejpam-4748	187	8	in	in	ADP
ejpam-4748	187	9	g.	g.	PROPN
ejpam-4748	187	10	now	now	ADV
ejpam-4748	187	11	,	,	PUNCT
ejpam-4748	187	12	let	let	VERB
ejpam-4748	187	13	a	a	DET
ejpam-4748	187	14	,	,	PUNCT
ejpam-4748	187	15	b	b	PROPN
ejpam-4748	187	16	∈	∈	PROPN
ejpam-4748	187	17	v	v	NOUN
ejpam-4748	187	18	(	(	PUNCT
ejpam-4748	187	19	g+h)\aw′	g+h)\aw′	NOUN
ejpam-4748	187	20	with	with	ADP
ejpam-4748	187	21	a	a	DET
ejpam-4748	187	22	̸=	̸=	PROPN
ejpam-4748	187	23	b.	b.	PROPN
ejpam-4748	187	24	suppose	suppose	VERB
ejpam-4748	187	25	that	that	SCONJ
ejpam-4748	187	26	m.	m.	PROPN
ejpam-4748	187	27	ortega	ortega	PROPN
ejpam-4748	187	28	,	,	PUNCT
ejpam-4748	187	29	g.	g.	PROPN
ejpam-4748	187	30	malacas	malacas	PROPN
ejpam-4748	187	31	,	,	PUNCT
ejpam-4748	187	32	s.	s.	PROPN
ejpam-4748	187	33	canoy	canoy	PROPN
ejpam-4748	187	34	,	,	PUNCT
ejpam-4748	187	35	jr	jr	PROPN
ejpam-4748	187	36	.	.	PROPN
ejpam-4748	187	37	/	/	SYM
ejpam-4748	187	38	eur	eur	PROPN
ejpam-4748	187	39	.	.	PUNCT
ejpam-4748	188	1	j.	j.	PROPN
ejpam-4748	188	2	pure	pure	PROPN
ejpam-4748	188	3	appl	appl	PROPN
ejpam-4748	188	4	.	.	PROPN
ejpam-4748	188	5	math	math	PROPN
ejpam-4748	188	6	,	,	PUNCT
ejpam-4748	188	7	16	16	NUM
ejpam-4748	188	8	(	(	PUNCT
ejpam-4748	188	9	3	3	NUM
ejpam-4748	188	10	)	)	PUNCT
ejpam-4748	188	11	(	(	PUNCT
ejpam-4748	188	12	2023	2023	NUM
ejpam-4748	188	13	)	)	PUNCT
ejpam-4748	188	14	,	,	PUNCT
ejpam-4748	188	15	1685	1685	NUM
ejpam-4748	188	16	-	-	SYM
ejpam-4748	188	17	1694	1694	NUM
ejpam-4748	188	18	1690	1690	NUM
ejpam-4748	188	19	a	a	PRON
ejpam-4748	188	20	,	,	PUNCT
ejpam-4748	188	21	b	b	PROPN
ejpam-4748	188	22	∈	∈	PROPN
ejpam-4748	188	23	v	v	NOUN
ejpam-4748	188	24	(	(	PUNCT
ejpam-4748	188	25	g)\aw′	g)\aw′	NOUN
ejpam-4748	188	26	.	.	PUNCT
ejpam-4748	189	1	since	since	SCONJ
ejpam-4748	189	2	aw′	aw′	PROPN
ejpam-4748	189	3	is	be	AUX
ejpam-4748	189	4	a	a	DET
ejpam-4748	189	5	stable	stable	ADJ
ejpam-4748	189	6	locating	locating	NOUN
ejpam-4748	189	7	set	set	NOUN
ejpam-4748	189	8	,	,	PUNCT
ejpam-4748	189	9	ng(a	ng(a	PRON
ejpam-4748	189	10	)	)	PUNCT
ejpam-4748	189	11	∩	∩	NOUN
ejpam-4748	189	12	aw′	aw′	PROPN
ejpam-4748	189	13	̸=	̸=	PROPN
ejpam-4748	189	14	ng(b	ng(b	CCONJ
ejpam-4748	189	15	)	)	PUNCT
ejpam-4748	189	16	∩	∩	ADJ
ejpam-4748	189	17	aw′	aw′	NOUN
ejpam-4748	189	18	.	.	PUNCT
ejpam-4748	190	1	hence	hence	ADV
ejpam-4748	190	2	,	,	PUNCT
ejpam-4748	190	3	ng+h(a)∩sw	ng+h(a)∩sw	NUM
ejpam-4748	190	4	=	=	SYM
ejpam-4748	190	5	ng(a)∩aw′	ng(a)∩aw′	NOUN
ejpam-4748	190	6	̸=	̸=	PROPN
ejpam-4748	190	7	ng(b)∩aw′	ng(b)∩aw′	NOUN
ejpam-4748	190	8	=	=	NOUN
ejpam-4748	190	9	ng+h(b)∩sw	ng+h(b)∩sw	NOUN
ejpam-4748	190	10	by	by	ADP
ejpam-4748	190	11	lemma	lemma	PROPN
ejpam-4748	190	12	1	1	NUM
ejpam-4748	190	13	.	.	PUNCT
ejpam-4748	191	1	thus	thus	ADV
ejpam-4748	191	2	,	,	PUNCT
ejpam-4748	191	3	aw′	aw′	PROPN
ejpam-4748	191	4	is	be	AUX
ejpam-4748	191	5	a	a	DET
ejpam-4748	191	6	locating	locate	VERB
ejpam-4748	191	7	-	-	PUNCT
ejpam-4748	191	8	dominating	dominating	NOUN
ejpam-4748	191	9	set	set	NOUN
ejpam-4748	191	10	in	in	ADP
ejpam-4748	191	11	g.	g.	PROPN
ejpam-4748	191	12	similarly	similarly	ADV
ejpam-4748	191	13	,	,	PUNCT
ejpam-4748	191	14	bw′	bw′	NOUN
ejpam-4748	191	15	=	=	PUNCT
ejpam-4748	191	16	b\{w	b\{w	PROPN
ejpam-4748	191	17	}	}	PUNCT
ejpam-4748	191	18	is	be	AUX
ejpam-4748	191	19	a	a	DET
ejpam-4748	191	20	locating	locate	VERB
ejpam-4748	191	21	-	-	PUNCT
ejpam-4748	191	22	dominating	dominating	NOUN
ejpam-4748	191	23	set	set	NOUN
ejpam-4748	191	24	in	in	ADP
ejpam-4748	191	25	h	h	NOUN
ejpam-4748	191	26	if	if	SCONJ
ejpam-4748	191	27	w	w	PROPN
ejpam-4748	191	28	∈	∈	PROPN
ejpam-4748	191	29	b.	b.	PROPN
ejpam-4748	192	1	thus	thus	ADV
ejpam-4748	192	2	,	,	PUNCT
ejpam-4748	192	3	s	s	VERB
ejpam-4748	192	4	is	be	AUX
ejpam-4748	192	5	a	a	DET
ejpam-4748	192	6	stable	stable	ADJ
ejpam-4748	192	7	locating	locating	NOUN
ejpam-4748	192	8	-	-	PUNCT
ejpam-4748	192	9	dominating	dominating	NOUN
ejpam-4748	192	10	set	set	NOUN
ejpam-4748	192	11	in	in	ADP
ejpam-4748	192	12	g+h	g+h	NOUN
ejpam-4748	192	13	=	=	PUNCT
ejpam-4748	192	14	g∪h	g∪h	NOUN
ejpam-4748	192	15	.	.	PUNCT
ejpam-4748	193	1	therefore	therefore	ADV
ejpam-4748	193	2	,	,	PUNCT
ejpam-4748	193	3	s	s	VERB
ejpam-4748	193	4	is	be	AUX
ejpam-4748	193	5	a	a	DET
ejpam-4748	193	6	global	global	ADJ
ejpam-4748	193	7	stable	stable	ADJ
ejpam-4748	193	8	locating	locating	NOUN
ejpam-4748	193	9	-	-	PUNCT
ejpam-4748	193	10	dominating	dominating	NOUN
ejpam-4748	193	11	set	set	NOUN
ejpam-4748	193	12	in	in	ADP
ejpam-4748	193	13	g+h	g+h	PROPN
ejpam-4748	193	14	.	.	PUNCT
ejpam-4748	194	1	□	□	PUNCT
ejpam-4748	194	2	corollary	corollary	ADJ
ejpam-4748	194	3	3	3	X
ejpam-4748	194	4	.	.	PUNCT
ejpam-4748	195	1	let	let	VERB
ejpam-4748	195	2	g	g	NOUN
ejpam-4748	195	3	and	and	CCONJ
ejpam-4748	195	4	h	h	PROPN
ejpam-4748	195	5	be	be	VERB
ejpam-4748	195	6	non	non	ADJ
ejpam-4748	195	7	-	-	ADJ
ejpam-4748	195	8	trivial	trivial	ADJ
ejpam-4748	195	9	connected	connected	ADJ
ejpam-4748	195	10	graphs	graph	NOUN
ejpam-4748	195	11	.	.	PUNCT
ejpam-4748	196	1	a	a	DET
ejpam-4748	196	2	subset	subset	NOUN
ejpam-4748	196	3	s	s	X
ejpam-4748	196	4	of	of	ADP
ejpam-4748	196	5	v	v	NOUN
ejpam-4748	196	6	(	(	PUNCT
ejpam-4748	196	7	g+h	g+h	PROPN
ejpam-4748	196	8	)	)	PUNCT
ejpam-4748	196	9	is	be	AUX
ejpam-4748	196	10	a	a	DET
ejpam-4748	196	11	minimum	minimum	ADJ
ejpam-4748	196	12	global	global	ADJ
ejpam-4748	196	13	stable	stable	ADJ
ejpam-4748	196	14	locating	locating	NOUN
ejpam-4748	196	15	-	-	PUNCT
ejpam-4748	196	16	dominating	dominating	NOUN
ejpam-4748	196	17	set	set	NOUN
ejpam-4748	196	18	in	in	ADP
ejpam-4748	196	19	g+h	g+h	PROPN
ejpam-4748	196	20	if	if	SCONJ
ejpam-4748	196	21	and	and	CCONJ
ejpam-4748	196	22	only	only	ADV
ejpam-4748	196	23	if	if	SCONJ
ejpam-4748	196	24	s	s	VERB
ejpam-4748	196	25	=	=	PUNCT
ejpam-4748	196	26	a	a	PRON
ejpam-4748	196	27	∪b	∪b	NOUN
ejpam-4748	196	28	,	,	PUNCT
ejpam-4748	196	29	where	where	SCONJ
ejpam-4748	196	30	a	a	PRON
ejpam-4748	196	31	and	and	CCONJ
ejpam-4748	196	32	b	b	NOUN
ejpam-4748	196	33	is	be	AUX
ejpam-4748	196	34	a	a	DET
ejpam-4748	196	35	minimum	minimum	ADJ
ejpam-4748	196	36	stable	stable	NOUN
ejpam-4748	196	37	strictly	strictly	ADV
ejpam-4748	196	38	locating	locate	VERB
ejpam-4748	196	39	set	set	VERB
ejpam-4748	196	40	in	in	ADP
ejpam-4748	196	41	g	g	PROPN
ejpam-4748	196	42	and	and	CCONJ
ejpam-4748	196	43	h	h	NOUN
ejpam-4748	196	44	,	,	PUNCT
ejpam-4748	196	45	respectively	respectively	ADV
ejpam-4748	196	46	.	.	PUNCT
ejpam-4748	197	1	in	in	ADP
ejpam-4748	197	2	particular	particular	ADJ
ejpam-4748	197	3	,	,	PUNCT
ejpam-4748	197	4	λs	λs	ADP
ejpam-4748	197	5	gl(g+h	gl(g+h	PROPN
ejpam-4748	197	6	)	)	PUNCT
ejpam-4748	197	7	=	=	SYM
ejpam-4748	197	8	ηssls(g	ηssls(g	PROPN
ejpam-4748	197	9	)	)	PUNCT
ejpam-4748	198	1	+	+	PUNCT
ejpam-4748	198	2	ηssls(h	ηssls(h	NOUN
ejpam-4748	198	3	)	)	PUNCT
ejpam-4748	198	4	.	.	PUNCT
ejpam-4748	199	1	corollary	corollary	ADJ
ejpam-4748	199	2	4	4	NUM
ejpam-4748	199	3	.	.	PUNCT
ejpam-4748	200	1	let	let	VERB
ejpam-4748	200	2	g	g	PRON
ejpam-4748	200	3	be	be	AUX
ejpam-4748	200	4	a	a	DET
ejpam-4748	200	5	graph	graph	NOUN
ejpam-4748	200	6	and	and	CCONJ
ejpam-4748	200	7	let	let	VERB
ejpam-4748	200	8	km	km	NOUN
ejpam-4748	200	9	=	=	SYM
ejpam-4748	200	10	⟨{v1	⟨{v1	NOUN
ejpam-4748	200	11	,	,	PUNCT
ejpam-4748	200	12	v2	v2	PROPN
ejpam-4748	200	13	,	,	PUNCT
ejpam-4748	200	14	...	...	PUNCT
ejpam-4748	200	15	,	,	PUNCT
ejpam-4748	200	16	vm}⟩	vm}⟩	ADP
ejpam-4748	200	17	where	where	SCONJ
ejpam-4748	200	18	m	m	VERB
ejpam-4748	200	19	≥	≥	NOUN
ejpam-4748	200	20	2	2	NUM
ejpam-4748	200	21	.	.	PUNCT
ejpam-4748	200	22	a	a	DET
ejpam-4748	200	23	subset	subset	NOUN
ejpam-4748	200	24	s	s	NOUN
ejpam-4748	200	25	of	of	ADP
ejpam-4748	200	26	v	v	NOUN
ejpam-4748	200	27	(	(	PUNCT
ejpam-4748	200	28	km	km	NOUN
ejpam-4748	200	29	+	+	CCONJ
ejpam-4748	200	30	g	g	NOUN
ejpam-4748	200	31	)	)	PUNCT
ejpam-4748	200	32	is	be	AUX
ejpam-4748	200	33	a	a	DET
ejpam-4748	200	34	global	global	ADJ
ejpam-4748	200	35	stable	stable	ADJ
ejpam-4748	200	36	locating	locating	NOUN
ejpam-4748	200	37	-	-	PUNCT
ejpam-4748	200	38	dominating	dominating	NOUN
ejpam-4748	200	39	set	set	NOUN
ejpam-4748	200	40	in	in	ADP
ejpam-4748	200	41	km	km	NOUN
ejpam-4748	200	42	+	+	CCONJ
ejpam-4748	200	43	g	g	NOUN
ejpam-4748	201	1	if	if	SCONJ
ejpam-4748	202	1	and	and	CCONJ
ejpam-4748	202	2	only	only	ADV
ejpam-4748	202	3	if	if	SCONJ
ejpam-4748	202	4	s	s	VERB
ejpam-4748	202	5	=	=	NOUN
ejpam-4748	202	6	{	{	PUNCT
ejpam-4748	202	7	v1	v1	PROPN
ejpam-4748	202	8	,	,	PUNCT
ejpam-4748	202	9	v2	v2	PROPN
ejpam-4748	202	10	,	,	PUNCT
ejpam-4748	202	11	...	...	PUNCT
ejpam-4748	202	12	,	,	PUNCT
ejpam-4748	202	13	vm	vm	NOUN
ejpam-4748	202	14	}	}	PUNCT
ejpam-4748	202	15	∪	∪	VERB
ejpam-4748	202	16	sg	sg	PROPN
ejpam-4748	202	17	,	,	PUNCT
ejpam-4748	202	18	where	where	SCONJ
ejpam-4748	202	19	sg	sg	PROPN
ejpam-4748	202	20	is	be	AUX
ejpam-4748	202	21	a	a	DET
ejpam-4748	202	22	stable	stable	ADJ
ejpam-4748	202	23	strictly	strictly	ADV
ejpam-4748	202	24	locating	locate	VERB
ejpam-4748	202	25	set	set	VERB
ejpam-4748	202	26	in	in	ADP
ejpam-4748	202	27	g.	g.	PROPN
ejpam-4748	202	28	in	in	ADP
ejpam-4748	202	29	particular	particular	ADJ
ejpam-4748	202	30	,	,	PUNCT
ejpam-4748	202	31	λs	λs	ADP
ejpam-4748	202	32	gl(km	gl(km	PROPN
ejpam-4748	203	1	+	+	PROPN
ejpam-4748	203	2	g	g	NOUN
ejpam-4748	203	3	)	)	PUNCT
ejpam-4748	203	4	=	=	SYM
ejpam-4748	204	1	m+	m+	NUM
ejpam-4748	204	2	ηssls(g	ηssls(g	PROPN
ejpam-4748	204	3	)	)	PUNCT
ejpam-4748	204	4	.	.	PUNCT
ejpam-4748	205	1	proof	proof	NOUN
ejpam-4748	205	2	.	.	PUNCT
ejpam-4748	206	1	the	the	DET
ejpam-4748	206	2	only	only	ADJ
ejpam-4748	206	3	stable	stable	ADJ
ejpam-4748	206	4	strictly	strictly	ADV
ejpam-4748	206	5	locating	locate	VERB
ejpam-4748	206	6	set	set	VERB
ejpam-4748	206	7	in	in	ADP
ejpam-4748	206	8	km	km	PROPN
ejpam-4748	206	9	is	be	AUX
ejpam-4748	206	10	the	the	DET
ejpam-4748	206	11	v	v	NOUN
ejpam-4748	206	12	(	(	PUNCT
ejpam-4748	206	13	km	km	PROPN
ejpam-4748	206	14	)	)	PUNCT
ejpam-4748	206	15	.	.	PUNCT
ejpam-4748	207	1	thus	thus	ADV
ejpam-4748	207	2	,	,	PUNCT
ejpam-4748	207	3	by	by	ADP
ejpam-4748	207	4	proposition	proposition	NOUN
ejpam-4748	207	5	3	3	NUM
ejpam-4748	207	6	,	,	PUNCT
ejpam-4748	207	7	s	s	VERB
ejpam-4748	207	8	is	be	AUX
ejpam-4748	207	9	a	a	DET
ejpam-4748	207	10	global	global	ADJ
ejpam-4748	207	11	stable	stable	ADJ
ejpam-4748	207	12	locating	locating	NOUN
ejpam-4748	207	13	-	-	PUNCT
ejpam-4748	207	14	dominating	dominating	NOUN
ejpam-4748	207	15	set	set	NOUN
ejpam-4748	207	16	in	in	ADP
ejpam-4748	207	17	km	km	PROPN
ejpam-4748	207	18	+	+	PROPN
ejpam-4748	207	19	g.	g.	NOUN
ejpam-4748	207	20	□	□	PUNCT
ejpam-4748	207	21	theorem	theorem	ADJ
ejpam-4748	207	22	4	4	NUM
ejpam-4748	207	23	.	.	PUNCT
ejpam-4748	208	1	[	[	X
ejpam-4748	208	2	4	4	X
ejpam-4748	208	3	]	]	PUNCT
ejpam-4748	208	4	let	let	VERB
ejpam-4748	208	5	g	g	PRON
ejpam-4748	208	6	be	be	AUX
ejpam-4748	208	7	a	a	DET
ejpam-4748	208	8	connected	connected	ADJ
ejpam-4748	208	9	graph	graph	NOUN
ejpam-4748	208	10	of	of	ADP
ejpam-4748	208	11	order	order	NOUN
ejpam-4748	208	12	m	m	VERB
ejpam-4748	208	13	≥	≥	NOUN
ejpam-4748	208	14	3	3	NUM
ejpam-4748	208	15	and	and	CCONJ
ejpam-4748	208	16	let	let	VERB
ejpam-4748	208	17	h	h	NOUN
ejpam-4748	208	18	be	be	AUX
ejpam-4748	208	19	any	any	DET
ejpam-4748	208	20	non	non	ADJ
ejpam-4748	208	21	-	-	ADJ
ejpam-4748	208	22	trivial	trivial	ADJ
ejpam-4748	208	23	connected	connected	ADJ
ejpam-4748	208	24	graph	graph	NOUN
ejpam-4748	208	25	.	.	PUNCT
ejpam-4748	209	1	then	then	ADV
ejpam-4748	209	2	c	c	PROPN
ejpam-4748	209	3	is	be	AUX
ejpam-4748	209	4	a	a	DET
ejpam-4748	209	5	stable	stable	ADJ
ejpam-4748	209	6	locating	locating	NOUN
ejpam-4748	209	7	-	-	PUNCT
ejpam-4748	209	8	dominating	dominate	VERB
ejpam-4748	209	9	set	set	NOUN
ejpam-4748	209	10	of	of	ADP
ejpam-4748	209	11	g	g	PROPN
ejpam-4748	209	12	⋄	⋄	PROPN
ejpam-4748	209	13	h	h	NOUN
ejpam-4748	210	1	if	if	SCONJ
ejpam-4748	210	2	and	and	CCONJ
ejpam-4748	210	3	only	only	ADV
ejpam-4748	210	4	if	if	SCONJ
ejpam-4748	210	5	c	c	X
ejpam-4748	210	6	=	=	PUNCT
ejpam-4748	210	7	a	a	DET
ejpam-4748	210	8	∪	∪	X
ejpam-4748	210	9	(	(	PUNCT
ejpam-4748	210	10	∪uv∈e(g)suv	∪uv∈e(g)suv	PROPN
ejpam-4748	210	11	)	)	PUNCT
ejpam-4748	210	12	and	and	CCONJ
ejpam-4748	210	13	satisfies	satisfy	VERB
ejpam-4748	210	14	the	the	DET
ejpam-4748	210	15	following	follow	VERB
ejpam-4748	210	16	conditions	condition	NOUN
ejpam-4748	210	17	:	:	PUNCT
ejpam-4748	210	18	(	(	PUNCT
ejpam-4748	210	19	i	i	NOUN
ejpam-4748	210	20	)	)	PUNCT
ejpam-4748	210	21	a	a	DET
ejpam-4748	210	22	⊆	⊆	NUM
ejpam-4748	210	23	v	v	NOUN
ejpam-4748	210	24	(	(	PUNCT
ejpam-4748	210	25	g	g	NOUN
ejpam-4748	210	26	)	)	PUNCT
ejpam-4748	210	27	,	,	PUNCT
ejpam-4748	210	28	(	(	PUNCT
ejpam-4748	210	29	ii	ii	NOUN
ejpam-4748	210	30	)	)	PUNCT
ejpam-4748	210	31	for	for	ADP
ejpam-4748	210	32	each	each	DET
ejpam-4748	210	33	uv	uv	PROPN
ejpam-4748	210	34	∈	∈	PROPN
ejpam-4748	210	35	e(g	e(g	PROPN
ejpam-4748	210	36	)	)	PUNCT
ejpam-4748	210	37	,	,	PUNCT
ejpam-4748	210	38	(	(	PUNCT
ejpam-4748	210	39	a	a	X
ejpam-4748	210	40	)	)	PUNCT
ejpam-4748	210	41	suv	suv	NOUN
ejpam-4748	210	42	is	be	AUX
ejpam-4748	210	43	a	a	DET
ejpam-4748	210	44	stable	stable	ADJ
ejpam-4748	210	45	locating	locating	NOUN
ejpam-4748	210	46	set	set	NOUN
ejpam-4748	210	47	of	of	ADP
ejpam-4748	210	48	huv	huv	PROPN
ejpam-4748	210	49	;	;	PUNCT
ejpam-4748	210	50	(	(	PUNCT
ejpam-4748	210	51	b	b	X
ejpam-4748	210	52	)	)	PUNCT
ejpam-4748	210	53	suv	suv	PROPN
ejpam-4748	210	54	is	be	AUX
ejpam-4748	210	55	a	a	DET
ejpam-4748	210	56	stable	stable	ADJ
ejpam-4748	210	57	locating	locating	NOUN
ejpam-4748	210	58	-	-	PUNCT
ejpam-4748	210	59	dominating	dominate	VERB
ejpam-4748	210	60	set	set	NOUN
ejpam-4748	210	61	of	of	ADP
ejpam-4748	210	62	huv	huv	PROPN
ejpam-4748	210	63	whenever	whenever	SCONJ
ejpam-4748	210	64	u	u	NOUN
ejpam-4748	210	65	,	,	PUNCT
ejpam-4748	210	66	v	v	NOUN
ejpam-4748	210	67	/∈	/∈	PUNCT
ejpam-4748	210	68	a	a	PRON
ejpam-4748	210	69	;	;	PUNCT
ejpam-4748	210	70	(	(	PUNCT
ejpam-4748	210	71	c	c	X
ejpam-4748	210	72	)	)	PUNCT
ejpam-4748	210	73	suv	suv	PROPN
ejpam-4748	210	74	is	be	AUX
ejpam-4748	210	75	a	a	DET
ejpam-4748	210	76	stable	stable	ADJ
ejpam-4748	210	77	strictly	strictly	ADV
ejpam-4748	210	78	locating	locate	VERB
ejpam-4748	210	79	set	set	NOUN
ejpam-4748	210	80	of	of	ADP
ejpam-4748	210	81	huv	huv	PROPN
ejpam-4748	210	82	for	for	ADP
ejpam-4748	210	83	each	each	DET
ejpam-4748	210	84	v	v	ADP
ejpam-4748	210	85	∈	∈	PROPN
ejpam-4748	210	86	l(g	l(g	NOUN
ejpam-4748	210	87	)	)	PUNCT
ejpam-4748	210	88	with	with	ADP
ejpam-4748	210	89	v	v	NUM
ejpam-4748	210	90	/∈	/∈	PUNCT
ejpam-4748	210	91	a	a	NOUN
ejpam-4748	210	92	;	;	PUNCT
ejpam-4748	210	93	and	and	CCONJ
ejpam-4748	210	94	(	(	PUNCT
ejpam-4748	210	95	d	d	X
ejpam-4748	210	96	)	)	PUNCT
ejpam-4748	210	97	suv	suv	PROPN
ejpam-4748	210	98	is	be	AUX
ejpam-4748	210	99	a	a	DET
ejpam-4748	210	100	stable	stable	ADJ
ejpam-4748	210	101	strictly	strictly	ADV
ejpam-4748	210	102	locating	locate	VERB
ejpam-4748	210	103	-	-	PUNCT
ejpam-4748	210	104	dominating	dominate	VERB
ejpam-4748	210	105	set	set	NOUN
ejpam-4748	210	106	of	of	ADP
ejpam-4748	210	107	huv	huv	PROPN
ejpam-4748	210	108	whenever	whenever	SCONJ
ejpam-4748	210	109	u	u	NOUN
ejpam-4748	210	110	,	,	PUNCT
ejpam-4748	210	111	v	v	NOUN
ejpam-4748	210	112	/∈	/∈	PUNCT
ejpam-4748	210	113	a	a	DET
ejpam-4748	210	114	and	and	CCONJ
ejpam-4748	210	115	{	{	PUNCT
ejpam-4748	210	116	u	u	NOUN
ejpam-4748	210	117	,	,	PUNCT
ejpam-4748	210	118	v	v	NOUN
ejpam-4748	210	119	}	}	PUNCT
ejpam-4748	210	120	∩	∩	ADJ
ejpam-4748	210	121	l(g	l(g	NOUN
ejpam-4748	210	122	)	)	PUNCT
ejpam-4748	210	123	̸=	̸=	PROPN
ejpam-4748	210	124	∅.	∅.	ADP
ejpam-4748	210	125	(	(	PUNCT
ejpam-4748	210	126	iii	iii	NOUN
ejpam-4748	210	127	)	)	PUNCT
ejpam-4748	210	128	for	for	ADP
ejpam-4748	210	129	each	each	DET
ejpam-4748	210	130	w	w	PROPN
ejpam-4748	210	131	∈	∈	PROPN
ejpam-4748	210	132	a	a	PRON
ejpam-4748	210	133	and	and	CCONJ
ejpam-4748	210	134	for	for	ADP
ejpam-4748	210	135	each	each	DET
ejpam-4748	210	136	z	z	PROPN
ejpam-4748	210	137	∈	∈	PROPN
ejpam-4748	210	138	ng(w	ng(w	NOUN
ejpam-4748	210	139	)	)	PUNCT
ejpam-4748	210	140	,	,	PUNCT
ejpam-4748	210	141	we	we	PRON
ejpam-4748	210	142	have	have	VERB
ejpam-4748	210	143	:	:	PUNCT
ejpam-4748	210	144	(	(	PUNCT
ejpam-4748	210	145	a	a	X
ejpam-4748	210	146	)	)	PUNCT
ejpam-4748	210	147	szw	szw	NOUN
ejpam-4748	210	148	is	be	AUX
ejpam-4748	210	149	a	a	DET
ejpam-4748	210	150	strictly	strictly	ADV
ejpam-4748	210	151	locating	locate	VERB
ejpam-4748	210	152	set	set	NOUN
ejpam-4748	210	153	of	of	ADP
ejpam-4748	210	154	hzw	hzw	NOUN
ejpam-4748	210	155	whenever	whenever	SCONJ
ejpam-4748	210	156	w	w	PROPN
ejpam-4748	210	157	∈	∈	PROPN
ejpam-4748	210	158	l(g	l(g	PROPN
ejpam-4748	210	159	)	)	PUNCT
ejpam-4748	210	160	and	and	CCONJ
ejpam-4748	210	161	(	(	PUNCT
ejpam-4748	210	162	b	b	X
ejpam-4748	210	163	)	)	PUNCT
ejpam-4748	210	164	szw	szw	NOUN
ejpam-4748	210	165	is	be	AUX
ejpam-4748	210	166	a	a	DET
ejpam-4748	210	167	strictly	strictly	ADV
ejpam-4748	210	168	locating	locate	VERB
ejpam-4748	210	169	-	-	PUNCT
ejpam-4748	210	170	dominating	dominate	VERB
ejpam-4748	210	171	set	set	NOUN
ejpam-4748	210	172	of	of	ADP
ejpam-4748	210	173	hzw	hzw	NOUN
ejpam-4748	210	174	whenever	whenever	SCONJ
ejpam-4748	210	175	z	z	NOUN
ejpam-4748	210	176	/∈	/∈	PUNCT
ejpam-4748	211	1	a	a	DET
ejpam-4748	211	2	and	and	CCONJ
ejpam-4748	211	3	{	{	PUNCT
ejpam-4748	211	4	z	z	NOUN
ejpam-4748	211	5	,	,	PUNCT
ejpam-4748	211	6	w	w	NOUN
ejpam-4748	211	7	}	}	PUNCT
ejpam-4748	211	8	∩	∩	ADJ
ejpam-4748	211	9	l(g	l(g	NOUN
ejpam-4748	211	10	)	)	PUNCT
ejpam-4748	211	11	̸=	̸=	PROPN
ejpam-4748	211	12	∅.	∅.	ADP
ejpam-4748	211	13	(	(	PUNCT
ejpam-4748	211	14	iv	iv	NOUN
ejpam-4748	211	15	)	)	PUNCT
ejpam-4748	211	16	for	for	ADP
ejpam-4748	211	17	each	each	DET
ejpam-4748	211	18	zw	zw	PROPN
ejpam-4748	211	19	∈	∈	PROPN
ejpam-4748	211	20	e(g	e(g	PROPN
ejpam-4748	211	21	)	)	PUNCT
ejpam-4748	211	22	with	with	ADP
ejpam-4748	211	23	z	z	PROPN
ejpam-4748	211	24	∈	∈	PROPN
ejpam-4748	211	25	a	a	PRON
ejpam-4748	211	26	and	and	CCONJ
ejpam-4748	211	27	w	w	PROPN
ejpam-4748	211	28	/∈	/∈	PROPN
ejpam-4748	211	29	a	a	INTJ
ejpam-4748	211	30	,	,	PUNCT
ejpam-4748	211	31	if	if	SCONJ
ejpam-4748	211	32	x	x	PROPN
ejpam-4748	211	33	∈	∈	PROPN
ejpam-4748	211	34	v	v	X
ejpam-4748	211	35	(	(	PUNCT
ejpam-4748	211	36	hzw)\[szw\{p	hzw)\[szw\{p	NOUN
ejpam-4748	211	37	}	}	PUNCT
ejpam-4748	211	38	]	]	PUNCT
ejpam-4748	211	39	for	for	ADP
ejpam-4748	211	40	p	p	PROPN
ejpam-4748	211	41	∈	∈	PROPN
ejpam-4748	211	42	szw	szw	NOUN
ejpam-4748	211	43	and	and	CCONJ
ejpam-4748	211	44	nhzw	nhzw	ADJ
ejpam-4748	211	45	∩	∩	NOUN
ejpam-4748	211	46	(	(	PUNCT
ejpam-4748	211	47	szw\{p	szw\{p	NOUN
ejpam-4748	211	48	}	}	PUNCT
ejpam-4748	211	49	)	)	PUNCT
ejpam-4748	211	50	=	=	SYM
ejpam-4748	211	51	∅	∅	NOUN
ejpam-4748	211	52	,	,	PUNCT
ejpam-4748	211	53	then	then	ADV
ejpam-4748	211	54	for	for	ADP
ejpam-4748	211	55	each	each	DET
ejpam-4748	211	56	y	y	PROPN
ejpam-4748	211	57	∈	∈	PROPN
ejpam-4748	211	58	ng(z)\{w	ng(z)\{w	PROPN
ejpam-4748	211	59	}	}	PUNCT
ejpam-4748	211	60	and	and	CCONJ
ejpam-4748	211	61	for	for	ADP
ejpam-4748	211	62	each	each	DET
ejpam-4748	211	63	q	q	PROPN
ejpam-4748	211	64	∈	∈	PROPN
ejpam-4748	211	65	v	v	NOUN
ejpam-4748	211	66	(	(	PUNCT
ejpam-4748	211	67	hyz)\syz	hyz)\syz	PROPN
ejpam-4748	211	68	,	,	PUNCT
ejpam-4748	211	69	it	it	PRON
ejpam-4748	211	70	holds	hold	VERB
ejpam-4748	211	71	that	that	SCONJ
ejpam-4748	211	72	y	y	PROPN
ejpam-4748	211	73	∈	∈	PROPN
ejpam-4748	211	74	a	a	PRON
ejpam-4748	211	75	or	or	CCONJ
ejpam-4748	211	76	nhyz(q	nhyz(q	NUM
ejpam-4748	211	77	)	)	PUNCT
ejpam-4748	211	78	∩	∩	NOUN
ejpam-4748	211	79	syz	syz	VERB
ejpam-4748	211	80	̸=	̸=	PROPN
ejpam-4748	211	81	∅.	∅.	PRON
ejpam-4748	211	82	m.	m.	PROPN
ejpam-4748	211	83	ortega	ortega	PROPN
ejpam-4748	211	84	,	,	PUNCT
ejpam-4748	211	85	g.	g.	PROPN
ejpam-4748	211	86	malacas	malacas	PROPN
ejpam-4748	211	87	,	,	PUNCT
ejpam-4748	211	88	s.	s.	PROPN
ejpam-4748	211	89	canoy	canoy	PROPN
ejpam-4748	211	90	,	,	PUNCT
ejpam-4748	211	91	jr	jr	PROPN
ejpam-4748	211	92	.	.	PROPN
ejpam-4748	211	93	/	/	SYM
ejpam-4748	211	94	eur	eur	PROPN
ejpam-4748	211	95	.	.	PUNCT
ejpam-4748	212	1	j.	j.	PROPN
ejpam-4748	212	2	pure	pure	PROPN
ejpam-4748	212	3	appl	appl	PROPN
ejpam-4748	212	4	.	.	PROPN
ejpam-4748	212	5	math	math	PROPN
ejpam-4748	212	6	,	,	PUNCT
ejpam-4748	212	7	16	16	NUM
ejpam-4748	212	8	(	(	PUNCT
ejpam-4748	212	9	3	3	NUM
ejpam-4748	212	10	)	)	PUNCT
ejpam-4748	212	11	(	(	PUNCT
ejpam-4748	212	12	2023	2023	NUM
ejpam-4748	212	13	)	)	PUNCT
ejpam-4748	212	14	,	,	PUNCT
ejpam-4748	212	15	1685	1685	NUM
ejpam-4748	212	16	-	-	SYM
ejpam-4748	212	17	1694	1694	NUM
ejpam-4748	212	18	1691	1691	NUM
ejpam-4748	212	19	lemma	lemma	PROPN
ejpam-4748	212	20	2	2	X
ejpam-4748	212	21	.	.	PUNCT
ejpam-4748	213	1	let	let	VERB
ejpam-4748	213	2	g	g	PRON
ejpam-4748	213	3	be	be	AUX
ejpam-4748	213	4	a	a	DET
ejpam-4748	213	5	connected	connected	ADJ
ejpam-4748	213	6	graph	graph	NOUN
ejpam-4748	213	7	such	such	ADJ
ejpam-4748	213	8	that	that	SCONJ
ejpam-4748	213	9	g	g	PROPN
ejpam-4748	213	10	̸=	̸=	PROPN
ejpam-4748	213	11	k2	k2	NOUN
ejpam-4748	213	12	and	and	CCONJ
ejpam-4748	213	13	h	h	NOUN
ejpam-4748	213	14	be	be	VERB
ejpam-4748	213	15	any	any	DET
ejpam-4748	213	16	non	non	ADJ
ejpam-4748	213	17	-	-	ADJ
ejpam-4748	213	18	trivial	trivial	ADJ
ejpam-4748	213	19	connected	connected	ADJ
ejpam-4748	213	20	graph	graph	NOUN
ejpam-4748	213	21	.	.	PUNCT
ejpam-4748	214	1	then	then	ADV
ejpam-4748	214	2	γ(g	γ(g	PROPN
ejpam-4748	214	3	⋄h	⋄h	PROPN
ejpam-4748	214	4	)	)	PUNCT
ejpam-4748	214	5	=	=	PUNCT
ejpam-4748	215	1	1	1	NUM
ejpam-4748	215	2	if	if	SCONJ
ejpam-4748	215	3	and	and	CCONJ
ejpam-4748	215	4	only	only	ADV
ejpam-4748	215	5	if	if	SCONJ
ejpam-4748	215	6	γ(g	γ(g	NOUN
ejpam-4748	215	7	)	)	PUNCT
ejpam-4748	215	8	=	=	SYM
ejpam-4748	216	1	1	1	X
ejpam-4748	216	2	.	.	PUNCT
ejpam-4748	216	3	proof	proof	NOUN
ejpam-4748	216	4	.	.	PUNCT
ejpam-4748	217	1	suppose	suppose	VERB
ejpam-4748	217	2	γ(g	γ(g	PROPN
ejpam-4748	217	3	⋄	⋄	PROPN
ejpam-4748	217	4	h	h	NOUN
ejpam-4748	217	5	)	)	PUNCT
ejpam-4748	217	6	=	=	SYM
ejpam-4748	217	7	1	1	NUM
ejpam-4748	217	8	,	,	PUNCT
ejpam-4748	217	9	say	say	VERB
ejpam-4748	217	10	{	{	PUNCT
ejpam-4748	217	11	p	p	X
ejpam-4748	217	12	}	}	PUNCT
ejpam-4748	217	13	is	be	AUX
ejpam-4748	217	14	a	a	DET
ejpam-4748	217	15	dominating	dominating	NOUN
ejpam-4748	217	16	set	set	NOUN
ejpam-4748	217	17	in	in	ADP
ejpam-4748	217	18	g	g	PROPN
ejpam-4748	217	19	⋄	⋄	PROPN
ejpam-4748	217	20	h.	h.	NOUN
ejpam-4748	218	1	if	if	SCONJ
ejpam-4748	218	2	p	p	PROPN
ejpam-4748	218	3	∈	∈	PROPN
ejpam-4748	218	4	v	v	ADP
ejpam-4748	218	5	(	(	PUNCT
ejpam-4748	218	6	g	g	NOUN
ejpam-4748	218	7	)	)	PUNCT
ejpam-4748	218	8	,	,	PUNCT
ejpam-4748	218	9	then	then	ADV
ejpam-4748	218	10	γ(g	γ(g	PROPN
ejpam-4748	218	11	)	)	PUNCT
ejpam-4748	218	12	=	=	SYM
ejpam-4748	218	13	1	1	X
ejpam-4748	218	14	.	.	PUNCT
ejpam-4748	218	15	suppose	suppose	VERB
ejpam-4748	218	16	that	that	SCONJ
ejpam-4748	218	17	p	p	PROPN
ejpam-4748	218	18	∈	∈	PROPN
ejpam-4748	218	19	v	v	X
ejpam-4748	218	20	(	(	PUNCT
ejpam-4748	218	21	huv	huv	PROPN
ejpam-4748	218	22	)	)	PUNCT
ejpam-4748	218	23	for	for	ADP
ejpam-4748	218	24	some	some	DET
ejpam-4748	218	25	uv	uv	PROPN
ejpam-4748	218	26	∈	∈	PROPN
ejpam-4748	218	27	e(g	e(g	PROPN
ejpam-4748	218	28	)	)	PUNCT
ejpam-4748	218	29	.	.	PUNCT
ejpam-4748	219	1	if	if	SCONJ
ejpam-4748	219	2	g	g	PROPN
ejpam-4748	219	3	̸=	̸=	PROPN
ejpam-4748	219	4	k2	k2	NOUN
ejpam-4748	219	5	,	,	PUNCT
ejpam-4748	219	6	there	there	PRON
ejpam-4748	219	7	exists	exist	VERB
ejpam-4748	219	8	an	an	DET
ejpam-4748	219	9	xy	xy	PROPN
ejpam-4748	219	10	∈	∈	PROPN
ejpam-4748	220	1	e(g)\{uv	e(g)\{uv	PROPN
ejpam-4748	220	2	}	}	PUNCT
ejpam-4748	220	3	.	.	PUNCT
ejpam-4748	221	1	then	then	ADV
ejpam-4748	221	2	pq	pq	INTJ
ejpam-4748	221	3	/∈	/∈	PUNCT
ejpam-4748	222	1	e(g	e(g	PROPN
ejpam-4748	222	2	⋄	⋄	PROPN
ejpam-4748	222	3	h	h	NOUN
ejpam-4748	222	4	)	)	PUNCT
ejpam-4748	222	5	for	for	ADP
ejpam-4748	222	6	all	all	DET
ejpam-4748	222	7	q	q	PROPN
ejpam-4748	222	8	∈	∈	PROPN
ejpam-4748	222	9	v	v	NOUN
ejpam-4748	222	10	(	(	PUNCT
ejpam-4748	222	11	hxy	hxy	NOUN
ejpam-4748	222	12	)	)	PUNCT
ejpam-4748	222	13	,	,	PUNCT
ejpam-4748	222	14	a	a	DET
ejpam-4748	222	15	contradiction	contradiction	NOUN
ejpam-4748	222	16	.	.	PUNCT
ejpam-4748	223	1	thus	thus	ADV
ejpam-4748	223	2	,	,	PUNCT
ejpam-4748	223	3	g	g	PROPN
ejpam-4748	223	4	=	=	SYM
ejpam-4748	223	5	k2	k2	PROPN
ejpam-4748	223	6	.	.	PUNCT
ejpam-4748	224	1	therefore	therefore	ADV
ejpam-4748	224	2	,	,	PUNCT
ejpam-4748	224	3	γ(g	γ(g	PROPN
ejpam-4748	224	4	)	)	PUNCT
ejpam-4748	224	5	=	=	PUNCT
ejpam-4748	224	6	1	1	X
ejpam-4748	224	7	.	.	PUNCT
ejpam-4748	225	1	conversely	conversely	ADV
ejpam-4748	225	2	,	,	PUNCT
ejpam-4748	225	3	if	if	SCONJ
ejpam-4748	225	4	γ(g	γ(g	PROPN
ejpam-4748	225	5	)	)	PUNCT
ejpam-4748	225	6	=	=	SYM
ejpam-4748	225	7	1	1	X
ejpam-4748	225	8	,	,	PUNCT
ejpam-4748	225	9	say	say	VERB
ejpam-4748	225	10	{	{	PUNCT
ejpam-4748	225	11	q	q	NOUN
ejpam-4748	225	12	}	}	PUNCT
ejpam-4748	225	13	is	be	AUX
ejpam-4748	225	14	a	a	DET
ejpam-4748	225	15	dominating	dominating	NOUN
ejpam-4748	225	16	set	set	VERB
ejpam-4748	225	17	in	in	ADP
ejpam-4748	225	18	g.	g.	PROPN
ejpam-4748	225	19	then	then	ADV
ejpam-4748	225	20	for	for	ADP
ejpam-4748	225	21	every	every	DET
ejpam-4748	225	22	vertex	vertex	NOUN
ejpam-4748	225	23	u	u	NOUN
ejpam-4748	225	24	∈	∈	PROPN
ejpam-4748	225	25	v	v	NOUN
ejpam-4748	225	26	(	(	PUNCT
ejpam-4748	225	27	g	g	PROPN
ejpam-4748	225	28	⋄h	⋄h	PROPN
ejpam-4748	225	29	)	)	PUNCT
ejpam-4748	225	30	,	,	PUNCT
ejpam-4748	225	31	qu	qu	PROPN
ejpam-4748	225	32	∈	∈	PROPN
ejpam-4748	225	33	e(g	e(g	PROPN
ejpam-4748	225	34	⋄h	⋄h	PROPN
ejpam-4748	225	35	)	)	PUNCT
ejpam-4748	225	36	.	.	PUNCT
ejpam-4748	226	1	thus	thus	ADV
ejpam-4748	226	2	,	,	PUNCT
ejpam-4748	226	3	γ(g	γ(g	PROPN
ejpam-4748	226	4	⋄h	⋄h	PROPN
ejpam-4748	226	5	)	)	PUNCT
ejpam-4748	227	1	=	=	SYM
ejpam-4748	227	2	1	1	X
ejpam-4748	227	3	.	.	PUNCT
ejpam-4748	227	4	□	□	PUNCT
ejpam-4748	227	5	theorem	theorem	ADJ
ejpam-4748	227	6	5	5	NUM
ejpam-4748	227	7	.	.	PUNCT
ejpam-4748	228	1	let	let	VERB
ejpam-4748	228	2	g	g	PRON
ejpam-4748	228	3	be	be	AUX
ejpam-4748	228	4	a	a	DET
ejpam-4748	228	5	connected	connected	ADJ
ejpam-4748	228	6	graph	graph	NOUN
ejpam-4748	228	7	of	of	ADP
ejpam-4748	228	8	order	order	NOUN
ejpam-4748	228	9	n	n	PRON
ejpam-4748	228	10	≥	≥	NOUN
ejpam-4748	228	11	4	4	NUM
ejpam-4748	228	12	and	and	CCONJ
ejpam-4748	228	13	∆(g	∆(g	NOUN
ejpam-4748	228	14	)	)	PUNCT
ejpam-4748	228	15	≤	≤	NUM
ejpam-4748	228	16	n−	n−	NOUN
ejpam-4748	228	17	2	2	NUM
ejpam-4748	228	18	and	and	CCONJ
ejpam-4748	228	19	h	h	NOUN
ejpam-4748	228	20	be	be	VERB
ejpam-4748	228	21	any	any	DET
ejpam-4748	228	22	non	non	ADJ
ejpam-4748	228	23	-	-	ADJ
ejpam-4748	228	24	trivial	trivial	ADJ
ejpam-4748	228	25	connected	connected	ADJ
ejpam-4748	228	26	graph	graph	NOUN
ejpam-4748	228	27	.	.	PUNCT
ejpam-4748	229	1	then	then	ADV
ejpam-4748	229	2	g	g	PROPN
ejpam-4748	229	3	⋄	⋄	PROPN
ejpam-4748	229	4	h	h	PROPN
ejpam-4748	229	5	admits	admit	VERB
ejpam-4748	229	6	a	a	DET
ejpam-4748	229	7	global	global	ADJ
ejpam-4748	229	8	stable	stable	ADJ
ejpam-4748	229	9	locating	locating	NOUN
ejpam-4748	229	10	-	-	PUNCT
ejpam-4748	229	11	dominating	dominating	NOUN
ejpam-4748	229	12	set	set	NOUN
ejpam-4748	229	13	.	.	PUNCT
ejpam-4748	230	1	moreover	moreover	ADV
ejpam-4748	230	2	,	,	PUNCT
ejpam-4748	230	3	s	s	VERB
ejpam-4748	230	4	⊆	⊆	NUM
ejpam-4748	230	5	v	v	NOUN
ejpam-4748	230	6	(	(	PUNCT
ejpam-4748	230	7	g	g	PROPN
ejpam-4748	230	8	⋄h	⋄h	PROPN
ejpam-4748	230	9	)	)	PUNCT
ejpam-4748	230	10	is	be	AUX
ejpam-4748	230	11	a	a	DET
ejpam-4748	230	12	global	global	ADJ
ejpam-4748	230	13	stable	stable	ADJ
ejpam-4748	230	14	locating	locating	NOUN
ejpam-4748	230	15	-	-	PUNCT
ejpam-4748	230	16	dominating	dominating	NOUN
ejpam-4748	230	17	set	set	NOUN
ejpam-4748	230	18	in	in	ADP
ejpam-4748	230	19	g	g	PROPN
ejpam-4748	230	20	⋄h	⋄h	NOUN
ejpam-4748	230	21	if	if	SCONJ
ejpam-4748	231	1	and	and	CCONJ
ejpam-4748	231	2	only	only	ADV
ejpam-4748	231	3	if	if	SCONJ
ejpam-4748	231	4	s	s	NOUN
ejpam-4748	231	5	is	be	AUX
ejpam-4748	231	6	a	a	DET
ejpam-4748	231	7	stable	stable	ADJ
ejpam-4748	231	8	locating	locating	NOUN
ejpam-4748	231	9	-	-	PUNCT
ejpam-4748	231	10	dominating	dominating	NOUN
ejpam-4748	231	11	set	set	NOUN
ejpam-4748	231	12	in	in	ADP
ejpam-4748	231	13	g	g	PROPN
ejpam-4748	231	14	⋄h	⋄h	PROPN
ejpam-4748	231	15	.	.	PUNCT
ejpam-4748	232	1	in	in	ADP
ejpam-4748	232	2	particular	particular	ADJ
ejpam-4748	232	3	,	,	PUNCT
ejpam-4748	232	4	λs	λs	PROPN
ejpam-4748	232	5	gl(g	gl(g	PUNCT
ejpam-4748	232	6	⋄h	⋄h	PROPN
ejpam-4748	232	7	)	)	PUNCT
ejpam-4748	233	1	=	=	VERB
ejpam-4748	233	2	γsl	γsl	VERB
ejpam-4748	233	3	(	(	PUNCT
ejpam-4748	233	4	g	g	PROPN
ejpam-4748	233	5	⋄h	⋄h	PROPN
ejpam-4748	233	6	)	)	PUNCT
ejpam-4748	233	7	.	.	PUNCT
ejpam-4748	234	1	proof	proof	NOUN
ejpam-4748	234	2	.	.	PUNCT
ejpam-4748	235	1	since	since	SCONJ
ejpam-4748	235	2	γ(g	γ(g	PROPN
ejpam-4748	235	3	)	)	PUNCT
ejpam-4748	235	4	̸=	̸=	PROPN
ejpam-4748	235	5	1	1	NUM
ejpam-4748	235	6	,	,	PUNCT
ejpam-4748	235	7	γ(g	γ(g	PROPN
ejpam-4748	235	8	⋄h	⋄h	PROPN
ejpam-4748	235	9	)	)	PUNCT
ejpam-4748	235	10	̸=	̸=	PROPN
ejpam-4748	235	11	1	1	NUM
ejpam-4748	235	12	by	by	ADP
ejpam-4748	235	13	lemma	lemma	PROPN
ejpam-4748	235	14	2	2	NUM
ejpam-4748	235	15	.	.	PUNCT
ejpam-4748	235	16	therefore	therefore	ADV
ejpam-4748	235	17	since	since	SCONJ
ejpam-4748	235	18	g	g	PROPN
ejpam-4748	235	19	⋄h	⋄h	PROPN
ejpam-4748	235	20	is	be	AUX
ejpam-4748	235	21	connected	connect	VERB
ejpam-4748	235	22	and	and	CCONJ
ejpam-4748	235	23	γ(g	γ(g	PROPN
ejpam-4748	235	24	◦	◦	NOUN
ejpam-4748	235	25	h	h	NOUN
ejpam-4748	235	26	)	)	PUNCT
ejpam-4748	235	27	̸=	̸=	PROPN
ejpam-4748	235	28	1	1	NUM
ejpam-4748	235	29	,	,	PUNCT
ejpam-4748	235	30	g	g	NOUN
ejpam-4748	235	31	◦	◦	NOUN
ejpam-4748	235	32	h	h	NOUN
ejpam-4748	235	33	admits	admit	VERB
ejpam-4748	235	34	a	a	DET
ejpam-4748	235	35	global	global	ADJ
ejpam-4748	235	36	stable	stable	ADJ
ejpam-4748	235	37	locating	locating	NOUN
ejpam-4748	235	38	-	-	PUNCT
ejpam-4748	235	39	dominating	dominating	NOUN
ejpam-4748	235	40	set	set	VERB
ejpam-4748	235	41	by	by	ADP
ejpam-4748	235	42	corollary	corollary	ADJ
ejpam-4748	235	43	1	1	NUM
ejpam-4748	235	44	.	.	PUNCT
ejpam-4748	236	1	let	let	VERB
ejpam-4748	236	2	s	s	PRON
ejpam-4748	236	3	be	be	AUX
ejpam-4748	236	4	a	a	DET
ejpam-4748	236	5	global	global	ADJ
ejpam-4748	236	6	stable	stable	ADJ
ejpam-4748	236	7	locating	locating	NOUN
ejpam-4748	236	8	-	-	PUNCT
ejpam-4748	236	9	dominating	dominating	NOUN
ejpam-4748	236	10	set	set	NOUN
ejpam-4748	236	11	in	in	ADP
ejpam-4748	236	12	g	g	PROPN
ejpam-4748	236	13	◦	◦	NOUN
ejpam-4748	236	14	h.	h.	NOUN
ejpam-4748	237	1	then	then	ADV
ejpam-4748	237	2	s	s	VERB
ejpam-4748	237	3	is	be	AUX
ejpam-4748	237	4	a	a	DET
ejpam-4748	237	5	stable	stable	ADJ
ejpam-4748	237	6	locating	locating	NOUN
ejpam-4748	237	7	-	-	PUNCT
ejpam-4748	237	8	dominating	dominating	NOUN
ejpam-4748	237	9	set	set	NOUN
ejpam-4748	237	10	in	in	ADP
ejpam-4748	237	11	g	g	PROPN
ejpam-4748	237	12	◦	◦	NOUN
ejpam-4748	237	13	h.	h.	NOUN
ejpam-4748	237	14	conversely	conversely	ADV
ejpam-4748	237	15	,	,	PUNCT
ejpam-4748	237	16	suppose	suppose	VERB
ejpam-4748	237	17	that	that	SCONJ
ejpam-4748	237	18	s	s	VERB
ejpam-4748	237	19	is	be	AUX
ejpam-4748	237	20	a	a	DET
ejpam-4748	237	21	stable	stable	ADJ
ejpam-4748	237	22	locating	locating	NOUN
ejpam-4748	237	23	-	-	PUNCT
ejpam-4748	237	24	dominating	dominating	NOUN
ejpam-4748	237	25	set	set	NOUN
ejpam-4748	237	26	in	in	ADP
ejpam-4748	237	27	g	g	PROPN
ejpam-4748	237	28	⋄	⋄	PROPN
ejpam-4748	237	29	h.	h.	PROPN
ejpam-4748	237	30	let	let	VERB
ejpam-4748	237	31	a	a	DET
ejpam-4748	237	32	⊆	⊆	NUM
ejpam-4748	237	33	v	v	NOUN
ejpam-4748	237	34	(	(	PUNCT
ejpam-4748	237	35	g	g	NOUN
ejpam-4748	237	36	)	)	PUNCT
ejpam-4748	237	37	and	and	CCONJ
ejpam-4748	237	38	duv	duv	PROPN
ejpam-4748	237	39	=	=	SYM
ejpam-4748	237	40	v	v	PROPN
ejpam-4748	237	41	(	(	PUNCT
ejpam-4748	237	42	huv	huv	PROPN
ejpam-4748	237	43	)	)	PUNCT
ejpam-4748	237	44	∩	∩	PROPN
ejpam-4748	237	45	s.	s.	PROPN
ejpam-4748	237	46	by	by	ADP
ejpam-4748	237	47	theorem	theorem	ADJ
ejpam-4748	237	48	4	4	NUM
ejpam-4748	237	49	,	,	PUNCT
ejpam-4748	237	50	s	s	PART
ejpam-4748	237	51	=	=	PUNCT
ejpam-4748	237	52	a	a	DET
ejpam-4748	237	53	∪	∪	X
ejpam-4748	237	54	(	(	PUNCT
ejpam-4748	237	55	∪uv∈e(g)duv	∪uv∈e(g)duv	PROPN
ejpam-4748	237	56	)	)	PUNCT
ejpam-4748	237	57	is	be	AUX
ejpam-4748	237	58	a	a	DET
ejpam-4748	237	59	stable	stable	ADJ
ejpam-4748	237	60	locating	locating	NOUN
ejpam-4748	237	61	-	-	PUNCT
ejpam-4748	237	62	dominating	dominating	NOUN
ejpam-4748	237	63	set	set	NOUN
ejpam-4748	237	64	in	in	ADP
ejpam-4748	237	65	g	g	PROPN
ejpam-4748	237	66	⋄	⋄	PROPN
ejpam-4748	237	67	h.	h.	PROPN
ejpam-4748	237	68	let	let	VERB
ejpam-4748	237	69	x	x	SYM
ejpam-4748	237	70	∈	∈	PROPN
ejpam-4748	237	71	v	v	X
ejpam-4748	237	72	(	(	PUNCT
ejpam-4748	237	73	g	g	PROPN
ejpam-4748	237	74	⋄h)\s	⋄h)\s	NOUN
ejpam-4748	237	75	.	.	PUNCT
ejpam-4748	238	1	if	if	SCONJ
ejpam-4748	238	2	x	x	SYM
ejpam-4748	238	3	∈	∈	PROPN
ejpam-4748	238	4	v	v	X
ejpam-4748	238	5	(	(	PUNCT
ejpam-4748	238	6	g)\a	g)\a	NOUN
ejpam-4748	238	7	,	,	PUNCT
ejpam-4748	238	8	then	then	ADV
ejpam-4748	238	9	pick	pick	VERB
ejpam-4748	238	10	v	v	NUM
ejpam-4748	238	11	∈	∈	PROPN
ejpam-4748	238	12	v	v	NOUN
ejpam-4748	238	13	(	(	PUNCT
ejpam-4748	238	14	g)\ng(x	g)\ng(x	NOUN
ejpam-4748	238	15	)	)	PUNCT
ejpam-4748	238	16	.	.	PUNCT
ejpam-4748	239	1	since	since	SCONJ
ejpam-4748	239	2	g	g	PROPN
ejpam-4748	239	3	is	be	AUX
ejpam-4748	239	4	connected	connect	VERB
ejpam-4748	239	5	,	,	PUNCT
ejpam-4748	239	6	we	we	PRON
ejpam-4748	239	7	may	may	AUX
ejpam-4748	239	8	choose	choose	VERB
ejpam-4748	239	9	u	u	PROPN
ejpam-4748	239	10	∈	∈	PROPN
ejpam-4748	239	11	ng(v	ng(v	PUNCT
ejpam-4748	239	12	)	)	PUNCT
ejpam-4748	239	13	.	.	PUNCT
ejpam-4748	240	1	it	it	PRON
ejpam-4748	240	2	follows	follow	VERB
ejpam-4748	240	3	that	that	SCONJ
ejpam-4748	240	4	xp	xp	INTJ
ejpam-4748	240	5	∈	∈	PROPN
ejpam-4748	240	6	e(g	e(g	PROPN
ejpam-4748	240	7	⋄h	⋄h	PROPN
ejpam-4748	240	8	)	)	PUNCT
ejpam-4748	240	9	for	for	ADP
ejpam-4748	240	10	all	all	DET
ejpam-4748	240	11	p	p	PROPN
ejpam-4748	240	12	∈	∈	PROPN
ejpam-4748	240	13	duv	duv	NOUN
ejpam-4748	240	14	.	.	PUNCT
ejpam-4748	241	1	by	by	ADP
ejpam-4748	241	2	theorem	theorem	NOUN
ejpam-4748	241	3	4	4	NUM
ejpam-4748	241	4	(	(	PUNCT
ejpam-4748	241	5	ii)(a	ii)(a	PROPN
ejpam-4748	241	6	)	)	PUNCT
ejpam-4748	241	7	,	,	PUNCT
ejpam-4748	241	8	duv	duv	PROPN
ejpam-4748	241	9	̸=	̸=	PROPN
ejpam-4748	241	10	∅	∅	NOUN
ejpam-4748	241	11	and	and	CCONJ
ejpam-4748	241	12	xp	xp	ADV
ejpam-4748	241	13	∈	∈	PROPN
ejpam-4748	241	14	e(g	e(g	PROPN
ejpam-4748	241	15	⋄h	⋄h	PROPN
ejpam-4748	241	16	)	)	PUNCT
ejpam-4748	241	17	for	for	ADP
ejpam-4748	241	18	all	all	DET
ejpam-4748	241	19	p	p	PROPN
ejpam-4748	241	20	∈	∈	PROPN
ejpam-4748	241	21	suv	suv	NOUN
ejpam-4748	241	22	.	.	PUNCT
ejpam-4748	241	23	suppose	suppose	VERB
ejpam-4748	241	24	x	x	SYM
ejpam-4748	241	25	∈	∈	PROPN
ejpam-4748	241	26	v	v	NOUN
ejpam-4748	241	27	(	(	PUNCT
ejpam-4748	241	28	hyz)\dyz	hyz)\dyz	ADV
ejpam-4748	241	29	.	.	PUNCT
ejpam-4748	242	1	choose	choose	VERB
ejpam-4748	242	2	wt	wt	NUM
ejpam-4748	242	3	∈	∈	NOUN
ejpam-4748	242	4	e(g)\{yz	e(g)\{yz	NOUN
ejpam-4748	242	5	}	}	PUNCT
ejpam-4748	242	6	.	.	PUNCT
ejpam-4748	243	1	then	then	ADV
ejpam-4748	243	2	xq	xq	PROPN
ejpam-4748	243	3	∈	∈	PROPN
ejpam-4748	243	4	e(g	e(g	PROPN
ejpam-4748	243	5	⋄h	⋄h	PROPN
ejpam-4748	243	6	)	)	PUNCT
ejpam-4748	243	7	for	for	ADP
ejpam-4748	243	8	all	all	DET
ejpam-4748	243	9	q	q	PROPN
ejpam-4748	243	10	∈	∈	PROPN
ejpam-4748	243	11	dwt	dwt	NOUN
ejpam-4748	243	12	.	.	PUNCT
ejpam-4748	244	1	thus	thus	ADV
ejpam-4748	244	2	,	,	PUNCT
ejpam-4748	244	3	s	s	VERB
ejpam-4748	244	4	is	be	AUX
ejpam-4748	244	5	a	a	DET
ejpam-4748	244	6	dominating	dominating	NOUN
ejpam-4748	244	7	set	set	NOUN
ejpam-4748	244	8	in	in	ADP
ejpam-4748	244	9	g	g	PROPN
ejpam-4748	244	10	⋄h	⋄h	PROPN
ejpam-4748	244	11	.	.	PUNCT
ejpam-4748	245	1	now	now	ADV
ejpam-4748	245	2	,	,	PUNCT
ejpam-4748	245	3	let	let	VERB
ejpam-4748	245	4	a	a	DET
ejpam-4748	245	5	,	,	PUNCT
ejpam-4748	245	6	b	b	PROPN
ejpam-4748	245	7	∈	∈	PROPN
ejpam-4748	245	8	v	v	NOUN
ejpam-4748	245	9	(	(	PUNCT
ejpam-4748	245	10	g	g	NOUN
ejpam-4748	245	11	⋄h)\s	⋄h)\s	NOUN
ejpam-4748	245	12	where	where	SCONJ
ejpam-4748	245	13	a	a	DET
ejpam-4748	245	14	̸=	̸=	PROPN
ejpam-4748	245	15	b.	b.	NOUN
ejpam-4748	245	16	since	since	SCONJ
ejpam-4748	245	17	s	s	PROPN
ejpam-4748	245	18	is	be	AUX
ejpam-4748	245	19	a	a	DET
ejpam-4748	245	20	locating	locating	NOUN
ejpam-4748	245	21	set	set	VERB
ejpam-4748	245	22	in	in	ADP
ejpam-4748	245	23	g	g	PROPN
ejpam-4748	245	24	⋄	⋄	PROPN
ejpam-4748	245	25	h	h	NOUN
ejpam-4748	245	26	,	,	PUNCT
ejpam-4748	245	27	ng⋄h(a	ng⋄h(a	NOUN
ejpam-4748	245	28	)	)	PUNCT
ejpam-4748	245	29	∩	∩	NOUN
ejpam-4748	245	30	s	s	PART
ejpam-4748	245	31	̸=	̸=	PROPN
ejpam-4748	245	32	ng⋄h(b	ng⋄h(b	PROPN
ejpam-4748	245	33	)	)	PUNCT
ejpam-4748	245	34	∩	∩	PROPN
ejpam-4748	245	35	s.	s.	PROPN
ejpam-4748	245	36	hence	hence	ADV
ejpam-4748	245	37	,	,	PUNCT
ejpam-4748	245	38	ng⋄h(a	ng⋄h(a	NOUN
ejpam-4748	245	39	)	)	PUNCT
ejpam-4748	245	40	∩	∩	NOUN
ejpam-4748	245	41	s	s	PART
ejpam-4748	245	42	̸=	̸=	PROPN
ejpam-4748	245	43	ng⋄h(b	ng⋄h(b	PROPN
ejpam-4748	245	44	)	)	PUNCT
ejpam-4748	245	45	∩	∩	NOUN
ejpam-4748	245	46	s	s	PART
ejpam-4748	245	47	by	by	ADP
ejpam-4748	245	48	lemma	lemma	PROPN
ejpam-4748	245	49	1	1	NUM
ejpam-4748	245	50	.	.	PUNCT
ejpam-4748	246	1	thus	thus	ADV
ejpam-4748	246	2	,	,	PUNCT
ejpam-4748	246	3	s	s	VERB
ejpam-4748	246	4	is	be	AUX
ejpam-4748	246	5	a	a	DET
ejpam-4748	246	6	locating	locating	NOUN
ejpam-4748	246	7	set	set	VERB
ejpam-4748	246	8	in	in	ADP
ejpam-4748	246	9	g	g	PROPN
ejpam-4748	246	10	⋄h	⋄h	PROPN
ejpam-4748	246	11	.	.	PUNCT
ejpam-4748	247	1	finally	finally	ADV
ejpam-4748	247	2	,	,	PUNCT
ejpam-4748	247	3	let	let	VERB
ejpam-4748	247	4	w	w	PROPN
ejpam-4748	247	5	∈	∈	NOUN
ejpam-4748	247	6	s	s	PART
ejpam-4748	247	7	and	and	CCONJ
ejpam-4748	247	8	set	set	VERB
ejpam-4748	247	9	sw	sw	NOUN
ejpam-4748	247	10	=	=	SYM
ejpam-4748	247	11	s\{w	s\{w	PROPN
ejpam-4748	247	12	}	}	PUNCT
ejpam-4748	247	13	.	.	PUNCT
ejpam-4748	248	1	again	again	ADV
ejpam-4748	248	2	,	,	PUNCT
ejpam-4748	248	3	since	since	SCONJ
ejpam-4748	248	4	duv	duv	PROPN
ejpam-4748	248	5	̸=	̸=	PROPN
ejpam-4748	248	6	∅	∅	NOUN
ejpam-4748	248	7	,	,	PUNCT
ejpam-4748	248	8	for	for	ADP
ejpam-4748	248	9	every	every	DET
ejpam-4748	248	10	uv	uv	PROPN
ejpam-4748	248	11	∈	∈	PROPN
ejpam-4748	248	12	e(g	e(g	PROPN
ejpam-4748	248	13	)	)	PUNCT
ejpam-4748	248	14	,	,	PUNCT
ejpam-4748	248	15	sw	sw	PROPN
ejpam-4748	248	16	is	be	AUX
ejpam-4748	248	17	a	a	DET
ejpam-4748	248	18	dominating	dominating	NOUN
ejpam-4748	248	19	set	set	NOUN
ejpam-4748	248	20	in	in	ADP
ejpam-4748	248	21	g	g	PROPN
ejpam-4748	248	22	⋄h	⋄h	PROPN
ejpam-4748	248	23	.	.	PUNCT
ejpam-4748	249	1	since	since	SCONJ
ejpam-4748	249	2	s	s	PROPN
ejpam-4748	249	3	is	be	AUX
ejpam-4748	249	4	a	a	DET
ejpam-4748	249	5	stable	stable	ADJ
ejpam-4748	249	6	locating	locating	NOUN
ejpam-4748	249	7	set	set	VERB
ejpam-4748	249	8	in	in	ADP
ejpam-4748	249	9	g⋄h	g⋄h	PROPN
ejpam-4748	249	10	,	,	PUNCT
ejpam-4748	249	11	sw	sw	PROPN
ejpam-4748	249	12	is	be	AUX
ejpam-4748	249	13	a	a	DET
ejpam-4748	249	14	locating	locating	NOUN
ejpam-4748	249	15	set	set	VERB
ejpam-4748	249	16	in	in	ADP
ejpam-4748	249	17	g	g	PROPN
ejpam-4748	249	18	⋄h	⋄h	PROPN
ejpam-4748	249	19	.	.	PUNCT
ejpam-4748	250	1	thus	thus	ADV
ejpam-4748	250	2	,	,	PUNCT
ejpam-4748	250	3	sw	sw	PROPN
ejpam-4748	250	4	is	be	AUX
ejpam-4748	250	5	a	a	DET
ejpam-4748	250	6	locating	locating	NOUN
ejpam-4748	250	7	set	set	VERB
ejpam-4748	250	8	in	in	ADP
ejpam-4748	250	9	g	g	NOUN
ejpam-4748	250	10	⋄h	⋄h	NOUN
ejpam-4748	250	11	by	by	ADP
ejpam-4748	250	12	lemma	lemma	PROPN
ejpam-4748	250	13	1	1	NUM
ejpam-4748	250	14	.	.	PUNCT
ejpam-4748	251	1	therefore	therefore	ADV
ejpam-4748	251	2	,	,	PUNCT
ejpam-4748	251	3	s	s	VERB
ejpam-4748	251	4	is	be	AUX
ejpam-4748	251	5	a	a	DET
ejpam-4748	251	6	stable	stable	ADJ
ejpam-4748	251	7	locating	locating	NOUN
ejpam-4748	251	8	-	-	PUNCT
ejpam-4748	251	9	dominating	dominating	NOUN
ejpam-4748	251	10	set	set	NOUN
ejpam-4748	251	11	in	in	ADP
ejpam-4748	251	12	g	g	PROPN
ejpam-4748	251	13	⋄h	⋄h	PROPN
ejpam-4748	251	14	.	.	PUNCT
ejpam-4748	252	1	accordingly	accordingly	ADV
ejpam-4748	252	2	,	,	PUNCT
ejpam-4748	252	3	s	s	VERB
ejpam-4748	252	4	is	be	AUX
ejpam-4748	252	5	a	a	DET
ejpam-4748	252	6	global	global	ADJ
ejpam-4748	252	7	stable	stable	ADJ
ejpam-4748	252	8	locating	locating	NOUN
ejpam-4748	252	9	-	-	PUNCT
ejpam-4748	252	10	dominating	dominating	NOUN
ejpam-4748	252	11	in	in	ADP
ejpam-4748	252	12	g	g	PROPN
ejpam-4748	252	13	⋄	⋄	PROPN
ejpam-4748	252	14	h.	h.	PROPN
ejpam-4748	252	15	consequently	consequently	ADV
ejpam-4748	252	16	,	,	PUNCT
ejpam-4748	252	17	λs	λs	PROPN
ejpam-4748	252	18	gl(g	gl(g	PUNCT
ejpam-4748	252	19	⋄h	⋄h	PROPN
ejpam-4748	252	20	)	)	PUNCT
ejpam-4748	252	21	=	=	VERB
ejpam-4748	253	1	γsl	γsl	VERB
ejpam-4748	253	2	(	(	PUNCT
ejpam-4748	253	3	g	g	PROPN
ejpam-4748	253	4	⋄h	⋄h	PROPN
ejpam-4748	253	5	)	)	PUNCT
ejpam-4748	253	6	.	.	PUNCT
ejpam-4748	254	1	□	□	PUNCT
ejpam-4748	254	2	theorem	theorem	ADJ
ejpam-4748	254	3	6	6	NUM
ejpam-4748	254	4	.	.	PUNCT
ejpam-4748	255	1	[	[	X
ejpam-4748	255	2	1	1	X
ejpam-4748	255	3	]	]	PUNCT
ejpam-4748	255	4	let	let	VERB
ejpam-4748	255	5	g	g	PRON
ejpam-4748	255	6	be	be	AUX
ejpam-4748	255	7	a	a	DET
ejpam-4748	255	8	connected	connected	ADJ
ejpam-4748	255	9	non	non	ADJ
ejpam-4748	255	10	-	-	ADJ
ejpam-4748	255	11	trivial	trivial	ADJ
ejpam-4748	255	12	graph	graph	NOUN
ejpam-4748	255	13	and	and	CCONJ
ejpam-4748	255	14	let	let	VERB
ejpam-4748	255	15	h	h	NOUN
ejpam-4748	255	16	be	be	AUX
ejpam-4748	255	17	any	any	DET
ejpam-4748	255	18	graph	graph	NOUN
ejpam-4748	255	19	without	without	ADP
ejpam-4748	255	20	isolated	isolated	ADJ
ejpam-4748	255	21	vertices	vertex	NOUN
ejpam-4748	255	22	.	.	PUNCT
ejpam-4748	256	1	then	then	ADV
ejpam-4748	256	2	s	s	VERB
ejpam-4748	256	3	⊆	⊆	NUM
ejpam-4748	256	4	v	v	NOUN
ejpam-4748	256	5	(	(	PUNCT
ejpam-4748	256	6	g	g	PROPN
ejpam-4748	256	7	◦	◦	NOUN
ejpam-4748	256	8	h	h	NOUN
ejpam-4748	256	9	)	)	PUNCT
ejpam-4748	256	10	is	be	AUX
ejpam-4748	256	11	a	a	DET
ejpam-4748	256	12	stable	stable	ADJ
ejpam-4748	256	13	locating	locating	NOUN
ejpam-4748	256	14	-	-	PUNCT
ejpam-4748	256	15	dominating	dominate	VERB
ejpam-4748	256	16	set	set	NOUN
ejpam-4748	256	17	of	of	ADP
ejpam-4748	256	18	g	g	PROPN
ejpam-4748	256	19	◦	◦	NOUN
ejpam-4748	256	20	h	h	NOUN
ejpam-4748	256	21	if	if	SCONJ
ejpam-4748	257	1	and	and	CCONJ
ejpam-4748	257	2	only	only	ADV
ejpam-4748	257	3	if	if	SCONJ
ejpam-4748	257	4	s	s	VERB
ejpam-4748	257	5	=	=	X
ejpam-4748	257	6	a	a	DET
ejpam-4748	257	7	∪	∪	NOUN
ejpam-4748	257	8	[	[	X
ejpam-4748	257	9	∪v∈v	∪v∈v	X
ejpam-4748	257	10	(	(	PUNCT
ejpam-4748	257	11	g)dv	g)dv	NOUN
ejpam-4748	257	12	]	]	PUNCT
ejpam-4748	257	13	and	and	CCONJ
ejpam-4748	257	14	satisfies	satisfy	VERB
ejpam-4748	257	15	the	the	DET
ejpam-4748	257	16	following	follow	VERB
ejpam-4748	257	17	properties	property	NOUN
ejpam-4748	257	18	:	:	PUNCT
ejpam-4748	257	19	(	(	PUNCT
ejpam-4748	257	20	i	i	NOUN
ejpam-4748	257	21	)	)	PUNCT
ejpam-4748	257	22	a	a	DET
ejpam-4748	257	23	⊆	⊆	NUM
ejpam-4748	257	24	v	v	NOUN
ejpam-4748	257	25	(	(	PUNCT
ejpam-4748	257	26	g	g	NOUN
ejpam-4748	257	27	)	)	PUNCT
ejpam-4748	257	28	.	.	PUNCT
ejpam-4748	258	1	(	(	PUNCT
ejpam-4748	258	2	ii	ii	X
ejpam-4748	258	3	)	)	PUNCT
ejpam-4748	258	4	dv	dv	PROPN
ejpam-4748	258	5	is	be	AUX
ejpam-4748	258	6	a	a	DET
ejpam-4748	258	7	stable	stable	ADJ
ejpam-4748	258	8	locating	locating	NOUN
ejpam-4748	258	9	-	-	PUNCT
ejpam-4748	258	10	dominating	dominate	VERB
ejpam-4748	258	11	set	set	NOUN
ejpam-4748	258	12	of	of	ADP
ejpam-4748	258	13	hv	hv	PROPN
ejpam-4748	258	14	for	for	ADP
ejpam-4748	258	15	each	each	DET
ejpam-4748	258	16	v	v	X
ejpam-4748	258	17	∈	∈	NOUN
ejpam-4748	258	18	(	(	PUNCT
ejpam-4748	258	19	v	v	NOUN
ejpam-4748	258	20	(	(	PUNCT
ejpam-4748	258	21	g	g	NOUN
ejpam-4748	258	22	)	)	PUNCT
ejpam-4748	258	23	\	\	PROPN
ejpam-4748	259	1	a	a	PRON
ejpam-4748	259	2	)	)	PUNCT
ejpam-4748	259	3	,	,	PUNCT
ejpam-4748	259	4	and	and	CCONJ
ejpam-4748	259	5	,	,	PUNCT
ejpam-4748	259	6	in	in	ADP
ejpam-4748	259	7	addition	addition	NOUN
ejpam-4748	259	8	,	,	PUNCT
ejpam-4748	259	9	strictly	strictly	ADV
ejpam-4748	259	10	locating	locate	VERB
ejpam-4748	259	11	when	when	SCONJ
ejpam-4748	259	12	|ng(v	|ng(v	VERB
ejpam-4748	259	13	)	)	PUNCT
ejpam-4748	259	14	∩a|	∩a|	PUNCT
ejpam-4748	259	15	=	=	SYM
ejpam-4748	259	16	1	1	X
ejpam-4748	259	17	.	.	PUNCT
ejpam-4748	259	18	m.	m.	PROPN
ejpam-4748	259	19	ortega	ortega	PROPN
ejpam-4748	259	20	,	,	PUNCT
ejpam-4748	259	21	g.	g.	PROPN
ejpam-4748	259	22	malacas	malacas	PROPN
ejpam-4748	259	23	,	,	PUNCT
ejpam-4748	259	24	s.	s.	PROPN
ejpam-4748	259	25	canoy	canoy	PROPN
ejpam-4748	259	26	,	,	PUNCT
ejpam-4748	259	27	jr	jr	PROPN
ejpam-4748	259	28	.	.	PROPN
ejpam-4748	259	29	/	/	SYM
ejpam-4748	259	30	eur	eur	PROPN
ejpam-4748	259	31	.	.	PUNCT
ejpam-4748	260	1	j.	j.	PROPN
ejpam-4748	260	2	pure	pure	PROPN
ejpam-4748	260	3	appl	appl	PROPN
ejpam-4748	260	4	.	.	PROPN
ejpam-4748	260	5	math	math	PROPN
ejpam-4748	260	6	,	,	PUNCT
ejpam-4748	260	7	16	16	NUM
ejpam-4748	260	8	(	(	PUNCT
ejpam-4748	260	9	3	3	NUM
ejpam-4748	260	10	)	)	PUNCT
ejpam-4748	260	11	(	(	PUNCT
ejpam-4748	260	12	2023	2023	NUM
ejpam-4748	260	13	)	)	PUNCT
ejpam-4748	260	14	,	,	PUNCT
ejpam-4748	260	15	1685	1685	NUM
ejpam-4748	260	16	-	-	SYM
ejpam-4748	260	17	1694	1694	NUM
ejpam-4748	260	18	1692	1692	NUM
ejpam-4748	260	19	(	(	PUNCT
ejpam-4748	260	20	iii	iii	X
ejpam-4748	260	21	)	)	PUNCT
ejpam-4748	260	22	dv	dv	PROPN
ejpam-4748	260	23	is	be	AUX
ejpam-4748	260	24	a	a	DET
ejpam-4748	260	25	stable	stable	ADJ
ejpam-4748	260	26	strictly	strictly	ADV
ejpam-4748	260	27	locating	locate	VERB
ejpam-4748	260	28	-	-	PUNCT
ejpam-4748	260	29	dominating	dominate	VERB
ejpam-4748	260	30	set	set	NOUN
ejpam-4748	260	31	of	of	ADP
ejpam-4748	260	32	hv	hv	PROPN
ejpam-4748	260	33	for	for	ADP
ejpam-4748	260	34	each	each	DET
ejpam-4748	260	35	v	v	NUM
ejpam-4748	260	36	∈	∈	PROPN
ejpam-4748	260	37	v	v	NOUN
ejpam-4748	260	38	(	(	PUNCT
ejpam-4748	260	39	g	g	NOUN
ejpam-4748	260	40	)	)	PUNCT
ejpam-4748	260	41	\ng(a	\ng(a	PROPN
ejpam-4748	260	42	)	)	PUNCT
ejpam-4748	260	43	.	.	PUNCT
ejpam-4748	261	1	(	(	PUNCT
ejpam-4748	261	2	iv	iv	X
ejpam-4748	261	3	)	)	PUNCT
ejpam-4748	261	4	dv	dv	PROPN
ejpam-4748	261	5	is	be	AUX
ejpam-4748	261	6	a	a	DET
ejpam-4748	261	7	dominating	dominate	VERB
ejpam-4748	261	8	stable	stable	ADJ
ejpam-4748	261	9	locating	locating	NOUN
ejpam-4748	261	10	set	set	NOUN
ejpam-4748	261	11	for	for	ADP
ejpam-4748	261	12	each	each	DET
ejpam-4748	261	13	v	v	ADP
ejpam-4748	261	14	∈	∈	PROPN
ejpam-4748	261	15	a	a	PRON
ejpam-4748	261	16	and	and	CCONJ
ejpam-4748	261	17	,	,	PUNCT
ejpam-4748	261	18	in	in	ADP
ejpam-4748	261	19	addition	addition	NOUN
ejpam-4748	261	20	,	,	PUNCT
ejpam-4748	261	21	strictly	strictly	ADV
ejpam-4748	261	22	locating	locate	VERB
ejpam-4748	261	23	when	when	SCONJ
ejpam-4748	261	24	ng(v	ng(v	PUNCT
ejpam-4748	261	25	)	)	PUNCT
ejpam-4748	262	1	∩a	∩a	NOUN
ejpam-4748	262	2	=	=	PUNCT
ejpam-4748	263	1	∅.	∅.	PRON
ejpam-4748	263	2	proposition	proposition	NOUN
ejpam-4748	263	3	4	4	NUM
ejpam-4748	263	4	.	.	PUNCT
ejpam-4748	264	1	let	let	VERB
ejpam-4748	264	2	g	g	PRON
ejpam-4748	264	3	be	be	AUX
ejpam-4748	264	4	a	a	DET
ejpam-4748	264	5	connected	connected	ADJ
ejpam-4748	264	6	non	non	ADJ
ejpam-4748	264	7	-	-	ADJ
ejpam-4748	264	8	trivial	trivial	ADJ
ejpam-4748	264	9	graph	graph	NOUN
ejpam-4748	264	10	and	and	CCONJ
ejpam-4748	264	11	let	let	VERB
ejpam-4748	264	12	h	h	NOUN
ejpam-4748	264	13	be	be	AUX
ejpam-4748	264	14	any	any	DET
ejpam-4748	264	15	graph	graph	NOUN
ejpam-4748	264	16	.	.	PUNCT
ejpam-4748	265	1	then	then	ADV
ejpam-4748	265	2	g	g	PROPN
ejpam-4748	265	3	◦	◦	NOUN
ejpam-4748	265	4	h	h	PROPN
ejpam-4748	265	5	admits	admit	VERB
ejpam-4748	265	6	a	a	DET
ejpam-4748	265	7	global	global	ADJ
ejpam-4748	265	8	stable	stable	ADJ
ejpam-4748	265	9	locating	locating	NOUN
ejpam-4748	265	10	-	-	PUNCT
ejpam-4748	265	11	dominating	dominating	NOUN
ejpam-4748	265	12	set	set	NOUN
ejpam-4748	265	13	.	.	PUNCT
ejpam-4748	266	1	moreover	moreover	ADV
ejpam-4748	266	2	,	,	PUNCT
ejpam-4748	266	3	s	s	VERB
ejpam-4748	266	4	⊆	⊆	NUM
ejpam-4748	266	5	v	v	NOUN
ejpam-4748	266	6	(	(	PUNCT
ejpam-4748	266	7	g	g	PROPN
ejpam-4748	266	8	◦	◦	NOUN
ejpam-4748	266	9	h	h	NOUN
ejpam-4748	266	10	)	)	PUNCT
ejpam-4748	266	11	is	be	AUX
ejpam-4748	266	12	a	a	DET
ejpam-4748	266	13	global	global	ADJ
ejpam-4748	266	14	stable	stable	ADJ
ejpam-4748	266	15	locating	locating	NOUN
ejpam-4748	266	16	-	-	PUNCT
ejpam-4748	266	17	dominating	dominating	NOUN
ejpam-4748	266	18	set	set	NOUN
ejpam-4748	266	19	in	in	ADP
ejpam-4748	266	20	g	g	PROPN
ejpam-4748	266	21	◦	◦	NOUN
ejpam-4748	266	22	h	h	NOUN
ejpam-4748	266	23	if	if	SCONJ
ejpam-4748	267	1	and	and	CCONJ
ejpam-4748	267	2	only	only	ADV
ejpam-4748	267	3	if	if	SCONJ
ejpam-4748	267	4	s	s	NOUN
ejpam-4748	267	5	is	be	AUX
ejpam-4748	267	6	a	a	DET
ejpam-4748	267	7	stable	stable	ADJ
ejpam-4748	267	8	locating	locating	NOUN
ejpam-4748	267	9	-	-	PUNCT
ejpam-4748	267	10	dominating	dominating	NOUN
ejpam-4748	267	11	set	set	NOUN
ejpam-4748	267	12	in	in	ADP
ejpam-4748	267	13	g	g	PROPN
ejpam-4748	267	14	◦	◦	NOUN
ejpam-4748	267	15	h.	h.	NOUN
ejpam-4748	267	16	in	in	ADP
ejpam-4748	267	17	particular	particular	ADJ
ejpam-4748	267	18	,	,	PUNCT
ejpam-4748	267	19	λs	λs	NOUN
ejpam-4748	267	20	gl(g	gl(g	PUNCT
ejpam-4748	267	21	◦	◦	NOUN
ejpam-4748	267	22	h	h	NOUN
ejpam-4748	267	23	)	)	PUNCT
ejpam-4748	267	24	=	=	PUNCT
ejpam-4748	267	25	γsl	γsl	NOUN
ejpam-4748	267	26	(	(	PUNCT
ejpam-4748	267	27	g	g	NOUN
ejpam-4748	267	28	◦	◦	NOUN
ejpam-4748	267	29	h	h	NOUN
ejpam-4748	267	30	)	)	PUNCT
ejpam-4748	267	31	.	.	PUNCT
ejpam-4748	268	1	proof	proof	NOUN
ejpam-4748	268	2	.	.	PUNCT
ejpam-4748	269	1	since	since	SCONJ
ejpam-4748	269	2	g	g	PROPN
ejpam-4748	269	3	◦	◦	NOUN
ejpam-4748	269	4	h	h	NOUN
ejpam-4748	269	5	is	be	AUX
ejpam-4748	269	6	connected	connect	VERB
ejpam-4748	269	7	and	and	CCONJ
ejpam-4748	269	8	γ(g	γ(g	PROPN
ejpam-4748	269	9	◦	◦	NOUN
ejpam-4748	269	10	h	h	NOUN
ejpam-4748	269	11	)	)	PUNCT
ejpam-4748	269	12	̸=	̸=	PROPN
ejpam-4748	269	13	1	1	NUM
ejpam-4748	269	14	,	,	PUNCT
ejpam-4748	269	15	g	g	NOUN
ejpam-4748	269	16	◦	◦	NOUN
ejpam-4748	269	17	h	h	NOUN
ejpam-4748	269	18	admits	admit	VERB
ejpam-4748	269	19	a	a	DET
ejpam-4748	269	20	global	global	ADJ
ejpam-4748	269	21	stable	stable	ADJ
ejpam-4748	269	22	locating	locating	NOUN
ejpam-4748	269	23	-	-	PUNCT
ejpam-4748	269	24	dominating	dominating	NOUN
ejpam-4748	269	25	set	set	VERB
ejpam-4748	269	26	by	by	ADP
ejpam-4748	269	27	corollary	corollary	ADJ
ejpam-4748	269	28	1	1	NUM
ejpam-4748	269	29	.	.	PUNCT
ejpam-4748	270	1	let	let	VERB
ejpam-4748	270	2	s	s	PRON
ejpam-4748	270	3	be	be	AUX
ejpam-4748	270	4	a	a	DET
ejpam-4748	270	5	global	global	ADJ
ejpam-4748	270	6	stable	stable	ADJ
ejpam-4748	270	7	locating	locating	NOUN
ejpam-4748	270	8	-	-	PUNCT
ejpam-4748	270	9	dominating	dominating	NOUN
ejpam-4748	270	10	set	set	NOUN
ejpam-4748	270	11	in	in	ADP
ejpam-4748	270	12	g	g	PROPN
ejpam-4748	270	13	◦	◦	NOUN
ejpam-4748	270	14	h.	h.	NOUN
ejpam-4748	271	1	then	then	ADV
ejpam-4748	271	2	s	s	VERB
ejpam-4748	271	3	is	be	AUX
ejpam-4748	271	4	a	a	DET
ejpam-4748	271	5	stable	stable	ADJ
ejpam-4748	271	6	locating	locating	NOUN
ejpam-4748	271	7	-	-	PUNCT
ejpam-4748	271	8	dominating	dominating	NOUN
ejpam-4748	271	9	set	set	NOUN
ejpam-4748	271	10	in	in	ADP
ejpam-4748	271	11	g	g	PROPN
ejpam-4748	271	12	◦	◦	NOUN
ejpam-4748	271	13	h.	h.	NOUN
ejpam-4748	271	14	conversely	conversely	ADV
ejpam-4748	271	15	,	,	PUNCT
ejpam-4748	271	16	suppose	suppose	VERB
ejpam-4748	271	17	that	that	SCONJ
ejpam-4748	271	18	s	s	VERB
ejpam-4748	271	19	is	be	AUX
ejpam-4748	271	20	stable	stable	ADJ
ejpam-4748	271	21	locating	locating	NOUN
ejpam-4748	271	22	-	-	PUNCT
ejpam-4748	271	23	dominating	dominating	NOUN
ejpam-4748	271	24	set	set	NOUN
ejpam-4748	271	25	in	in	ADP
ejpam-4748	271	26	g	g	PROPN
ejpam-4748	271	27	◦	◦	NOUN
ejpam-4748	271	28	h.	h.	NOUN
ejpam-4748	271	29	let	let	VERB
ejpam-4748	271	30	a	a	DET
ejpam-4748	271	31	⊆	⊆	NUM
ejpam-4748	271	32	v	v	NOUN
ejpam-4748	271	33	(	(	PUNCT
ejpam-4748	271	34	g	g	NOUN
ejpam-4748	271	35	)	)	PUNCT
ejpam-4748	271	36	and	and	CCONJ
ejpam-4748	271	37	dv	dv	PROPN
ejpam-4748	271	38	=	=	PROPN
ejpam-4748	271	39	v	v	PROPN
ejpam-4748	271	40	(	(	PUNCT
ejpam-4748	271	41	hv	hv	NOUN
ejpam-4748	271	42	)	)	PUNCT
ejpam-4748	271	43	∩	∩	PROPN
ejpam-4748	271	44	s.	s.	PROPN
ejpam-4748	271	45	then	then	ADV
ejpam-4748	271	46	s	s	VERB
ejpam-4748	271	47	=	=	PUNCT
ejpam-4748	271	48	a	a	DET
ejpam-4748	271	49	∪	∪	X
ejpam-4748	271	50	(	(	PUNCT
ejpam-4748	271	51	∪v∈v	∪v∈v	X
ejpam-4748	271	52	(	(	PUNCT
ejpam-4748	271	53	g)dv	g)dv	PROPN
ejpam-4748	271	54	)	)	PUNCT
ejpam-4748	271	55	and	and	CCONJ
ejpam-4748	271	56	dv	dv	PROPN
ejpam-4748	271	57	̸=	̸=	PROPN
ejpam-4748	271	58	∅	∅	NOUN
ejpam-4748	271	59	by	by	ADP
ejpam-4748	271	60	theorem	theorem	NOUN
ejpam-4748	271	61	6	6	NUM
ejpam-4748	271	62	.	.	PUNCT
ejpam-4748	272	1	if	if	SCONJ
ejpam-4748	272	2	v	v	NUM
ejpam-4748	272	3	∈	∈	PROPN
ejpam-4748	272	4	v	v	NOUN
ejpam-4748	272	5	(	(	PUNCT
ejpam-4748	272	6	g)\a	g)\a	NOUN
ejpam-4748	272	7	,	,	PUNCT
ejpam-4748	272	8	then	then	ADV
ejpam-4748	272	9	we	we	PRON
ejpam-4748	272	10	may	may	AUX
ejpam-4748	272	11	choose	choose	VERB
ejpam-4748	272	12	w	w	PROPN
ejpam-4748	272	13	∈	∈	PROPN
ejpam-4748	272	14	v	v	NOUN
ejpam-4748	272	15	(	(	PUNCT
ejpam-4748	272	16	g)\ng(v	g)\ng(v	ADJ
ejpam-4748	272	17	)	)	PUNCT
ejpam-4748	272	18	.	.	PUNCT
ejpam-4748	273	1	since	since	SCONJ
ejpam-4748	273	2	dw	dw	PROPN
ejpam-4748	273	3	̸=	̸=	PROPN
ejpam-4748	273	4	∅	∅	NOUN
ejpam-4748	273	5	,	,	PUNCT
ejpam-4748	273	6	vp	vp	PROPN
ejpam-4748	273	7	∈	∈	PROPN
ejpam-4748	273	8	e(g	e(g	PROPN
ejpam-4748	273	9	◦	◦	PROPN
ejpam-4748	273	10	h	h	NOUN
ejpam-4748	273	11	)	)	PUNCT
ejpam-4748	273	12	for	for	ADP
ejpam-4748	273	13	all	all	DET
ejpam-4748	273	14	p	p	PROPN
ejpam-4748	273	15	∈	∈	PROPN
ejpam-4748	273	16	dw	dw	PROPN
ejpam-4748	273	17	.	.	PROPN
ejpam-4748	273	18	suppose	suppose	VERB
ejpam-4748	273	19	v	v	ADP
ejpam-4748	273	20	∈	∈	PROPN
ejpam-4748	273	21	v	v	NOUN
ejpam-4748	273	22	(	(	PUNCT
ejpam-4748	273	23	hu)\du	hu)\du	NOUN
ejpam-4748	273	24	.	.	PUNCT
ejpam-4748	274	1	then	then	ADV
ejpam-4748	274	2	vs	vs	ADP
ejpam-4748	274	3	∈	∈	PROPN
ejpam-4748	274	4	e(g	e(g	PROPN
ejpam-4748	274	5	◦	◦	PROPN
ejpam-4748	274	6	h	h	NOUN
ejpam-4748	274	7	)	)	PUNCT
ejpam-4748	274	8	for	for	ADP
ejpam-4748	274	9	all	all	DET
ejpam-4748	274	10	s	s	PART
ejpam-4748	274	11	∈	∈	NOUN
ejpam-4748	274	12	dz\{u	dz\{u	NUM
ejpam-4748	274	13	}	}	PUNCT
ejpam-4748	274	14	.	.	PUNCT
ejpam-4748	275	1	thus	thus	ADV
ejpam-4748	275	2	,	,	PUNCT
ejpam-4748	275	3	s	s	VERB
ejpam-4748	275	4	is	be	AUX
ejpam-4748	275	5	a	a	DET
ejpam-4748	275	6	dominating	dominating	NOUN
ejpam-4748	275	7	set	set	VERB
ejpam-4748	275	8	in	in	ADP
ejpam-4748	275	9	g	g	PROPN
ejpam-4748	275	10	◦	◦	NOUN
ejpam-4748	275	11	h.	h.	PROPN
ejpam-4748	275	12	since	since	SCONJ
ejpam-4748	275	13	s	s	PROPN
ejpam-4748	275	14	is	be	AUX
ejpam-4748	275	15	a	a	DET
ejpam-4748	275	16	locating	locating	NOUN
ejpam-4748	275	17	set	set	VERB
ejpam-4748	275	18	in	in	ADP
ejpam-4748	275	19	g	g	PROPN
ejpam-4748	275	20	◦	◦	NOUN
ejpam-4748	275	21	h	h	NOUN
ejpam-4748	275	22	,	,	PUNCT
ejpam-4748	275	23	ng	ng	PROPN
ejpam-4748	275	24	◦	◦	PROPN
ejpam-4748	275	25	h(a	h(a	PROPN
ejpam-4748	275	26	)	)	PUNCT
ejpam-4748	275	27	∩	∩	PROPN
ejpam-4748	275	28	s	s	PART
ejpam-4748	275	29	̸=	̸=	PROPN
ejpam-4748	275	30	ng	ng	PROPN
ejpam-4748	275	31	◦	◦	PROPN
ejpam-4748	275	32	h(b	h(b	PROPN
ejpam-4748	275	33	)	)	PUNCT
ejpam-4748	275	34	∩	∩	PROPN
ejpam-4748	275	35	s.	s.	PROPN
ejpam-4748	275	36	hence	hence	PROPN
ejpam-4748	275	37	,	,	PUNCT
ejpam-4748	275	38	ng	ng	PROPN
ejpam-4748	275	39	◦	◦	PROPN
ejpam-4748	275	40	h(a	h(a	PROPN
ejpam-4748	275	41	)	)	PUNCT
ejpam-4748	275	42	∩	∩	PROPN
ejpam-4748	275	43	s	s	PART
ejpam-4748	275	44	̸=	̸=	PROPN
ejpam-4748	275	45	ng	ng	PROPN
ejpam-4748	275	46	◦	◦	PROPN
ejpam-4748	275	47	h(b	h(b	PROPN
ejpam-4748	275	48	)	)	PUNCT
ejpam-4748	275	49	∩	∩	NOUN
ejpam-4748	275	50	s	s	PART
ejpam-4748	275	51	by	by	ADP
ejpam-4748	275	52	lemma	lemma	PROPN
ejpam-4748	275	53	1	1	NUM
ejpam-4748	275	54	.	.	PUNCT
ejpam-4748	276	1	thus	thus	ADV
ejpam-4748	276	2	,	,	PUNCT
ejpam-4748	276	3	s	s	VERB
ejpam-4748	276	4	is	be	AUX
ejpam-4748	276	5	a	a	DET
ejpam-4748	276	6	locating	locate	VERB
ejpam-4748	276	7	-	-	PUNCT
ejpam-4748	276	8	dominating	dominating	NOUN
ejpam-4748	276	9	set	set	NOUN
ejpam-4748	276	10	in	in	ADP
ejpam-4748	276	11	g	g	PROPN
ejpam-4748	276	12	◦	◦	NOUN
ejpam-4748	276	13	h.	h.	PROPN
ejpam-4748	276	14	finally	finally	ADV
ejpam-4748	276	15	,	,	PUNCT
ejpam-4748	276	16	let	let	VERB
ejpam-4748	276	17	y	y	PROPN
ejpam-4748	276	18	∈	∈	PROPN
ejpam-4748	276	19	s	s	PART
ejpam-4748	276	20	and	and	CCONJ
ejpam-4748	276	21	set	set	VERB
ejpam-4748	276	22	sy	sy	PROPN
ejpam-4748	276	23	=	=	SYM
ejpam-4748	276	24	s\{y	s\{y	X
ejpam-4748	276	25	}	}	PUNCT
ejpam-4748	276	26	.	.	PUNCT
ejpam-4748	277	1	again	again	ADV
ejpam-4748	277	2	,	,	PUNCT
ejpam-4748	277	3	since	since	SCONJ
ejpam-4748	277	4	dv	dv	PROPN
ejpam-4748	277	5	̸=	̸=	PROPN
ejpam-4748	277	6	∅	∅	NOUN
ejpam-4748	277	7	for	for	ADP
ejpam-4748	277	8	each	each	DET
ejpam-4748	277	9	v	v	NUM
ejpam-4748	277	10	∈	∈	PROPN
ejpam-4748	277	11	v	v	NOUN
ejpam-4748	277	12	(	(	PUNCT
ejpam-4748	277	13	g	g	NOUN
ejpam-4748	277	14	)	)	PUNCT
ejpam-4748	277	15	,	,	PUNCT
ejpam-4748	277	16	sy	sy	PROPN
ejpam-4748	277	17	is	be	AUX
ejpam-4748	277	18	a	a	DET
ejpam-4748	277	19	dominating	dominating	NOUN
ejpam-4748	277	20	set	set	VERB
ejpam-4748	277	21	in	in	ADP
ejpam-4748	277	22	g	g	PROPN
ejpam-4748	277	23	◦	◦	NOUN
ejpam-4748	277	24	h.	h.	PROPN
ejpam-4748	277	25	since	since	SCONJ
ejpam-4748	277	26	s	s	PROPN
ejpam-4748	277	27	is	be	AUX
ejpam-4748	277	28	a	a	DET
ejpam-4748	277	29	stable	stable	ADJ
ejpam-4748	277	30	locating	locating	NOUN
ejpam-4748	277	31	-	-	PUNCT
ejpam-4748	277	32	dominating	dominating	NOUN
ejpam-4748	277	33	set	set	NOUN
ejpam-4748	277	34	in	in	ADP
ejpam-4748	277	35	g	g	PROPN
ejpam-4748	277	36	◦	◦	NOUN
ejpam-4748	277	37	h	h	NOUN
ejpam-4748	277	38	,	,	PUNCT
ejpam-4748	277	39	sy	sy	PROPN
ejpam-4748	277	40	is	be	AUX
ejpam-4748	277	41	a	a	DET
ejpam-4748	277	42	locating	locating	NOUN
ejpam-4748	277	43	set	set	VERB
ejpam-4748	277	44	in	in	ADP
ejpam-4748	277	45	g	g	PROPN
ejpam-4748	277	46	◦	◦	NOUN
ejpam-4748	277	47	h.	h.	PROPN
ejpam-4748	277	48	thus	thus	ADV
ejpam-4748	277	49	,	,	PUNCT
ejpam-4748	277	50	sy	sy	PROPN
ejpam-4748	277	51	is	be	AUX
ejpam-4748	277	52	a	a	DET
ejpam-4748	277	53	locating	locate	VERB
ejpam-4748	277	54	-	-	PUNCT
ejpam-4748	277	55	dominating	dominating	NOUN
ejpam-4748	277	56	set	set	NOUN
ejpam-4748	277	57	in	in	ADP
ejpam-4748	277	58	g	g	PROPN
ejpam-4748	277	59	◦	◦	NOUN
ejpam-4748	277	60	h.	h.	PROPN
ejpam-4748	277	61	therefore	therefore	ADV
ejpam-4748	277	62	,	,	PUNCT
ejpam-4748	277	63	s	s	VERB
ejpam-4748	277	64	is	be	AUX
ejpam-4748	277	65	a	a	DET
ejpam-4748	277	66	stable	stable	ADJ
ejpam-4748	277	67	locating	locating	NOUN
ejpam-4748	277	68	-	-	PUNCT
ejpam-4748	277	69	dominating	dominating	NOUN
ejpam-4748	277	70	set	set	NOUN
ejpam-4748	277	71	in	in	ADP
ejpam-4748	277	72	g	g	PROPN
ejpam-4748	277	73	◦	◦	NOUN
ejpam-4748	277	74	h.	h.	NOUN
ejpam-4748	277	75	accordingly	accordingly	ADV
ejpam-4748	277	76	,	,	PUNCT
ejpam-4748	277	77	s	s	VERB
ejpam-4748	277	78	is	be	AUX
ejpam-4748	277	79	a	a	DET
ejpam-4748	277	80	global	global	ADJ
ejpam-4748	277	81	stable	stable	ADJ
ejpam-4748	277	82	locating	locating	NOUN
ejpam-4748	277	83	-	-	PUNCT
ejpam-4748	277	84	dominating	dominating	NOUN
ejpam-4748	277	85	in	in	ADP
ejpam-4748	277	86	g	g	PROPN
ejpam-4748	277	87	◦	◦	NOUN
ejpam-4748	277	88	h.	h.	PROPN
ejpam-4748	277	89	consequently	consequently	ADV
ejpam-4748	277	90	,	,	PUNCT
ejpam-4748	277	91	λs	λs	ADP
ejpam-4748	277	92	gl(g	gl(g	PUNCT
ejpam-4748	277	93	◦	◦	NOUN
ejpam-4748	277	94	h	h	NOUN
ejpam-4748	277	95	)	)	PUNCT
ejpam-4748	277	96	=	=	PUNCT
ejpam-4748	277	97	γsl	γsl	NOUN
ejpam-4748	277	98	(	(	PUNCT
ejpam-4748	277	99	g	g	NOUN
ejpam-4748	277	100	◦	◦	NOUN
ejpam-4748	277	101	h	h	NOUN
ejpam-4748	277	102	)	)	PUNCT
ejpam-4748	277	103	.	.	PUNCT
ejpam-4748	278	1	□	□	PUNCT
ejpam-4748	278	2	theorem	theorem	ADJ
ejpam-4748	278	3	7	7	NUM
ejpam-4748	278	4	.	.	PUNCT
ejpam-4748	279	1	[	[	X
ejpam-4748	279	2	4	4	X
ejpam-4748	279	3	]	]	PUNCT
ejpam-4748	279	4	let	let	VERB
ejpam-4748	279	5	g	g	NOUN
ejpam-4748	279	6	and	and	CCONJ
ejpam-4748	279	7	h	h	PROPN
ejpam-4748	279	8	be	be	VERB
ejpam-4748	279	9	a	a	DET
ejpam-4748	279	10	non	non	ADJ
ejpam-4748	279	11	-	-	ADJ
ejpam-4748	279	12	trivial	trivial	ADJ
ejpam-4748	279	13	connected	connected	ADJ
ejpam-4748	279	14	graphs	graph	NOUN
ejpam-4748	279	15	with	with	ADP
ejpam-4748	280	1	∆(h	∆(h	NOUN
ejpam-4748	280	2	)	)	PUNCT
ejpam-4748	280	3	≤	≤	NOUN
ejpam-4748	280	4	|v	|v	X
ejpam-4748	280	5	(	(	PUNCT
ejpam-4748	280	6	h)|−	h)|−	PROPN
ejpam-4748	280	7	2	2	X
ejpam-4748	280	8	.	.	PUNCT
ejpam-4748	280	9	then	then	ADV
ejpam-4748	280	10	c	c	NOUN
ejpam-4748	280	11	=	=	PUNCT
ejpam-4748	280	12	⋃	⋃	PROPN
ejpam-4748	280	13	x∈s	x∈s	NOUN
ejpam-4748	280	14	(	(	PUNCT
ejpam-4748	280	15	{	{	PUNCT
ejpam-4748	280	16	x	x	NOUN
ejpam-4748	280	17	}	}	PUNCT
ejpam-4748	280	18	×	×	PROPN
ejpam-4748	280	19	tx	tx	PROPN
ejpam-4748	280	20	)	)	PUNCT
ejpam-4748	280	21	,	,	PUNCT
ejpam-4748	280	22	where	where	SCONJ
ejpam-4748	280	23	s	s	VERB
ejpam-4748	280	24	⊆	⊆	NUM
ejpam-4748	280	25	v	v	NOUN
ejpam-4748	280	26	(	(	PUNCT
ejpam-4748	280	27	g	g	NOUN
ejpam-4748	280	28	)	)	PUNCT
ejpam-4748	280	29	and	and	CCONJ
ejpam-4748	280	30	tx	tx	VERB
ejpam-4748	280	31	⊆	⊆	NUM
ejpam-4748	280	32	v	v	NOUN
ejpam-4748	280	33	(	(	PUNCT
ejpam-4748	280	34	h	h	NOUN
ejpam-4748	280	35	)	)	PUNCT
ejpam-4748	280	36	for	for	ADP
ejpam-4748	280	37	each	each	DET
ejpam-4748	280	38	x	x	SYM
ejpam-4748	280	39	∈	∈	PROPN
ejpam-4748	280	40	s	s	NOUN
ejpam-4748	280	41	,	,	PUNCT
ejpam-4748	280	42	is	be	AUX
ejpam-4748	280	43	a	a	DET
ejpam-4748	280	44	global	global	ADJ
ejpam-4748	280	45	stable	stable	ADJ
ejpam-4748	280	46	locating	locating	NOUN
ejpam-4748	280	47	-	-	PUNCT
ejpam-4748	280	48	dominating	dominate	VERB
ejpam-4748	280	49	set	set	NOUN
ejpam-4748	280	50	of	of	ADP
ejpam-4748	280	51	g[h	g[h	NOUN
ejpam-4748	280	52	]	]	PUNCT
ejpam-4748	280	53	if	if	SCONJ
ejpam-4748	280	54	and	and	CCONJ
ejpam-4748	280	55	only	only	ADV
ejpam-4748	280	56	if	if	SCONJ
ejpam-4748	280	57	each	each	PRON
ejpam-4748	280	58	of	of	ADP
ejpam-4748	280	59	the	the	DET
ejpam-4748	280	60	following	follow	VERB
ejpam-4748	280	61	holds	hold	VERB
ejpam-4748	280	62	:	:	PUNCT
ejpam-4748	280	63	(	(	PUNCT
ejpam-4748	280	64	i	i	NOUN
ejpam-4748	280	65	)	)	PUNCT
ejpam-4748	280	66	s	s	PART
ejpam-4748	280	67	=	=	SYM
ejpam-4748	280	68	v	v	NOUN
ejpam-4748	280	69	(	(	PUNCT
ejpam-4748	280	70	g	g	NOUN
ejpam-4748	280	71	)	)	PUNCT
ejpam-4748	280	72	.	.	PUNCT
ejpam-4748	281	1	(	(	PUNCT
ejpam-4748	281	2	ii	ii	NOUN
ejpam-4748	281	3	)	)	PUNCT
ejpam-4748	281	4	tx	tx	PROPN
ejpam-4748	281	5	is	be	AUX
ejpam-4748	281	6	a	a	DET
ejpam-4748	281	7	stable	stable	ADJ
ejpam-4748	281	8	locating	locating	NOUN
ejpam-4748	281	9	set	set	VERB
ejpam-4748	281	10	in	in	ADP
ejpam-4748	281	11	h	h	NOUN
ejpam-4748	281	12	for	for	ADP
ejpam-4748	281	13	every	every	DET
ejpam-4748	281	14	x	x	SYM
ejpam-4748	281	15	∈	∈	PROPN
ejpam-4748	281	16	v	v	NOUN
ejpam-4748	281	17	(	(	PUNCT
ejpam-4748	281	18	g	g	NOUN
ejpam-4748	281	19	)	)	PUNCT
ejpam-4748	281	20	.	.	PUNCT
ejpam-4748	282	1	(	(	PUNCT
ejpam-4748	282	2	iii	iii	X
ejpam-4748	282	3	)	)	PUNCT
ejpam-4748	282	4	if	if	SCONJ
ejpam-4748	282	5	x	x	PRON
ejpam-4748	282	6	and	and	CCONJ
ejpam-4748	282	7	y	y	PROPN
ejpam-4748	282	8	are	be	AUX
ejpam-4748	282	9	adjacent	adjacent	ADJ
ejpam-4748	282	10	vertices	vertex	NOUN
ejpam-4748	282	11	with	with	ADP
ejpam-4748	282	12	ng[x	ng[x	PROPN
ejpam-4748	282	13	]	]	X
ejpam-4748	282	14	=	=	PUNCT
ejpam-4748	282	15	ng[y	ng[y	PROPN
ejpam-4748	282	16	]	]	PUNCT
ejpam-4748	282	17	and	and	CCONJ
ejpam-4748	282	18	one	one	NUM
ejpam-4748	282	19	,	,	PUNCT
ejpam-4748	282	20	say	say	VERB
ejpam-4748	282	21	tx	tx	PROPN
ejpam-4748	282	22	is	be	AUX
ejpam-4748	282	23	not	not	PART
ejpam-4748	282	24	strictly	strictly	ADV
ejpam-4748	282	25	locating	locate	VERB
ejpam-4748	282	26	,	,	PUNCT
ejpam-4748	282	27	then	then	ADV
ejpam-4748	282	28	ty	ty	INTJ
ejpam-4748	282	29	is	be	AUX
ejpam-4748	282	30	a	a	DET
ejpam-4748	282	31	stable	stable	ADJ
ejpam-4748	282	32	strictly	strictly	ADV
ejpam-4748	282	33	locating	locate	VERB
ejpam-4748	282	34	set	set	NOUN
ejpam-4748	282	35	of	of	ADP
ejpam-4748	282	36	h.	h.	PROPN
ejpam-4748	282	37	(	(	PUNCT
ejpam-4748	282	38	iv	iv	X
ejpam-4748	282	39	)	)	PUNCT
ejpam-4748	282	40	if	if	SCONJ
ejpam-4748	282	41	x	x	PRON
ejpam-4748	282	42	and	and	CCONJ
ejpam-4748	282	43	y	y	PROPN
ejpam-4748	282	44	are	be	AUX
ejpam-4748	282	45	distinct	distinct	ADJ
ejpam-4748	282	46	non	non	ADJ
ejpam-4748	282	47	-	-	ADJ
ejpam-4748	282	48	adjacent	adjacent	ADJ
ejpam-4748	282	49	vertices	vertex	NOUN
ejpam-4748	282	50	of	of	ADP
ejpam-4748	282	51	g	g	NOUN
ejpam-4748	282	52	with	with	ADP
ejpam-4748	282	53	ng(x	ng(x	NUM
ejpam-4748	282	54	)	)	PUNCT
ejpam-4748	282	55	=	=	SYM
ejpam-4748	283	1	ng(y	ng(y	X
ejpam-4748	283	2	)	)	PUNCT
ejpam-4748	283	3	and	and	CCONJ
ejpam-4748	283	4	one	one	NUM
ejpam-4748	283	5	,	,	PUNCT
ejpam-4748	283	6	say	say	VERB
ejpam-4748	283	7	tx	tx	PROPN
ejpam-4748	283	8	is	be	AUX
ejpam-4748	283	9	not	not	PART
ejpam-4748	283	10	a	a	DET
ejpam-4748	283	11	dominating	dominating	NOUN
ejpam-4748	283	12	set	set	NOUN
ejpam-4748	283	13	,	,	PUNCT
ejpam-4748	283	14	then	then	ADV
ejpam-4748	283	15	ty	ty	INTJ
ejpam-4748	283	16	is	be	AUX
ejpam-4748	283	17	a	a	DET
ejpam-4748	283	18	stable	stable	ADJ
ejpam-4748	283	19	dominating	dominating	NOUN
ejpam-4748	283	20	set	set	NOUN
ejpam-4748	283	21	of	of	ADP
ejpam-4748	283	22	h.	h.	PROPN
ejpam-4748	283	23	proposition	proposition	PROPN
ejpam-4748	283	24	5	5	X
ejpam-4748	283	25	.	.	PUNCT
ejpam-4748	284	1	let	let	VERB
ejpam-4748	284	2	g	g	NOUN
ejpam-4748	285	1	and	and	CCONJ
ejpam-4748	285	2	h	h	PROPN
ejpam-4748	285	3	be	be	VERB
ejpam-4748	285	4	a	a	DET
ejpam-4748	285	5	non	non	ADJ
ejpam-4748	285	6	-	-	ADJ
ejpam-4748	285	7	trivial	trivial	ADJ
ejpam-4748	285	8	connected	connected	ADJ
ejpam-4748	285	9	graphs	graph	NOUN
ejpam-4748	285	10	with	with	ADP
ejpam-4748	285	11	∆(h	∆(h	NOUN
ejpam-4748	285	12	)	)	PUNCT
ejpam-4748	285	13	≤	≤	NOUN
ejpam-4748	285	14	|v	|v	X
ejpam-4748	285	15	(	(	PUNCT
ejpam-4748	285	16	h)|	h)|	NOUN
ejpam-4748	285	17	−	−	PROPN
ejpam-4748	285	18	2	2	NUM
ejpam-4748	285	19	.	.	PUNCT
ejpam-4748	286	1	then	then	ADV
ejpam-4748	286	2	g[h	g[h	PROPN
ejpam-4748	286	3	]	]	PUNCT
ejpam-4748	286	4	admits	admit	VERB
ejpam-4748	286	5	a	a	DET
ejpam-4748	286	6	global	global	ADJ
ejpam-4748	286	7	stable	stable	ADJ
ejpam-4748	286	8	locating	locating	NOUN
ejpam-4748	286	9	-	-	PUNCT
ejpam-4748	286	10	dominating	dominating	NOUN
ejpam-4748	286	11	set	set	NOUN
ejpam-4748	286	12	.	.	PUNCT
ejpam-4748	287	1	moreover	moreover	ADV
ejpam-4748	287	2	,	,	PUNCT
ejpam-4748	287	3	c	c	NOUN
ejpam-4748	287	4	=	=	PUNCT
ejpam-4748	287	5	⋃	⋃	NOUN
ejpam-4748	287	6	u∈s	u∈s	NOUN
ejpam-4748	287	7	(	(	PUNCT
ejpam-4748	287	8	{	{	PUNCT
ejpam-4748	287	9	u	u	NOUN
ejpam-4748	287	10	}	}	PUNCT
ejpam-4748	287	11	×	×	PROPN
ejpam-4748	287	12	tu	tu	PROPN
ejpam-4748	287	13	)	)	PUNCT
ejpam-4748	287	14	,	,	PUNCT
ejpam-4748	287	15	where	where	SCONJ
ejpam-4748	287	16	s	s	VERB
ejpam-4748	287	17	⊆	⊆	NUM
ejpam-4748	287	18	v	v	NOUN
ejpam-4748	287	19	(	(	PUNCT
ejpam-4748	287	20	g	g	NOUN
ejpam-4748	287	21	)	)	PUNCT
ejpam-4748	287	22	and	and	CCONJ
ejpam-4748	287	23	tu	tu	PROPN
ejpam-4748	287	24	⊆	⊆	NUM
ejpam-4748	287	25	v	v	ADP
ejpam-4748	287	26	(	(	PUNCT
ejpam-4748	287	27	h	h	NOUN
ejpam-4748	287	28	)	)	PUNCT
ejpam-4748	287	29	for	for	ADP
ejpam-4748	287	30	each	each	DET
ejpam-4748	287	31	u	u	PROPN
ejpam-4748	287	32	∈	∈	PROPN
ejpam-4748	287	33	s	s	PART
ejpam-4748	287	34	,	,	PUNCT
ejpam-4748	287	35	is	be	AUX
ejpam-4748	287	36	a	a	DET
ejpam-4748	287	37	global	global	ADJ
ejpam-4748	287	38	stable	stable	ADJ
ejpam-4748	287	39	locating	locating	NOUN
ejpam-4748	287	40	-	-	PUNCT
ejpam-4748	287	41	dominating	dominate	VERB
ejpam-4748	287	42	set	set	NOUN
ejpam-4748	287	43	of	of	ADP
ejpam-4748	287	44	g[h	g[h	NOUN
ejpam-4748	287	45	]	]	PUNCT
ejpam-4748	287	46	if	if	SCONJ
ejpam-4748	287	47	and	and	CCONJ
ejpam-4748	287	48	only	only	ADV
ejpam-4748	287	49	if	if	SCONJ
ejpam-4748	287	50	each	each	PRON
ejpam-4748	287	51	of	of	ADP
ejpam-4748	287	52	the	the	DET
ejpam-4748	287	53	following	follow	VERB
ejpam-4748	287	54	holds	hold	NOUN
ejpam-4748	287	55	:	:	PUNCT
ejpam-4748	287	56	m.	m.	NOUN
ejpam-4748	287	57	ortega	ortega	PROPN
ejpam-4748	287	58	,	,	PUNCT
ejpam-4748	287	59	g.	g.	PROPN
ejpam-4748	287	60	malacas	malacas	PROPN
ejpam-4748	287	61	,	,	PUNCT
ejpam-4748	287	62	s.	s.	PROPN
ejpam-4748	287	63	canoy	canoy	PROPN
ejpam-4748	287	64	,	,	PUNCT
ejpam-4748	287	65	jr	jr	PROPN
ejpam-4748	287	66	.	.	PROPN
ejpam-4748	287	67	/	/	SYM
ejpam-4748	287	68	eur	eur	PROPN
ejpam-4748	287	69	.	.	PUNCT
ejpam-4748	288	1	j.	j.	PROPN
ejpam-4748	288	2	pure	pure	PROPN
ejpam-4748	288	3	appl	appl	PROPN
ejpam-4748	288	4	.	.	PROPN
ejpam-4748	288	5	math	math	PROPN
ejpam-4748	288	6	,	,	PUNCT
ejpam-4748	288	7	16	16	NUM
ejpam-4748	288	8	(	(	PUNCT
ejpam-4748	288	9	3	3	NUM
ejpam-4748	288	10	)	)	PUNCT
ejpam-4748	288	11	(	(	PUNCT
ejpam-4748	288	12	2023	2023	NUM
ejpam-4748	288	13	)	)	PUNCT
ejpam-4748	288	14	,	,	PUNCT
ejpam-4748	288	15	1685	1685	NUM
ejpam-4748	288	16	-	-	SYM
ejpam-4748	288	17	1694	1694	NUM
ejpam-4748	288	18	1693	1693	NUM
ejpam-4748	288	19	(	(	PUNCT
ejpam-4748	288	20	i	i	NOUN
ejpam-4748	288	21	)	)	PUNCT
ejpam-4748	288	22	s	s	PART
ejpam-4748	288	23	=	=	SYM
ejpam-4748	288	24	v	v	NOUN
ejpam-4748	288	25	(	(	PUNCT
ejpam-4748	288	26	g	g	NOUN
ejpam-4748	288	27	)	)	PUNCT
ejpam-4748	288	28	.	.	PUNCT
ejpam-4748	289	1	(	(	PUNCT
ejpam-4748	289	2	ii	ii	X
ejpam-4748	289	3	)	)	PUNCT
ejpam-4748	289	4	tu	tu	PROPN
ejpam-4748	289	5	is	be	AUX
ejpam-4748	289	6	a	a	DET
ejpam-4748	289	7	stable	stable	ADJ
ejpam-4748	289	8	locating	locating	NOUN
ejpam-4748	289	9	set	set	VERB
ejpam-4748	289	10	in	in	ADP
ejpam-4748	289	11	h	h	NOUN
ejpam-4748	289	12	for	for	ADP
ejpam-4748	289	13	every	every	DET
ejpam-4748	289	14	u	u	PROPN
ejpam-4748	289	15	∈	∈	PROPN
ejpam-4748	289	16	v	v	NOUN
ejpam-4748	289	17	(	(	PUNCT
ejpam-4748	289	18	g	g	NOUN
ejpam-4748	289	19	)	)	PUNCT
ejpam-4748	289	20	.	.	PUNCT
ejpam-4748	290	1	(	(	PUNCT
ejpam-4748	290	2	iii	iii	X
ejpam-4748	290	3	)	)	PUNCT
ejpam-4748	290	4	if	if	SCONJ
ejpam-4748	290	5	u	u	NOUN
ejpam-4748	290	6	and	and	CCONJ
ejpam-4748	290	7	v	v	NOUN
ejpam-4748	290	8	are	be	AUX
ejpam-4748	290	9	adjacent	adjacent	ADJ
ejpam-4748	290	10	vertices	vertex	NOUN
ejpam-4748	290	11	with	with	ADP
ejpam-4748	290	12	ng[u	ng[u	PROPN
ejpam-4748	290	13	]	]	X
ejpam-4748	290	14	=	=	PUNCT
ejpam-4748	290	15	ng[v	ng[v	X
ejpam-4748	290	16	]	]	PUNCT
ejpam-4748	290	17	and	and	CCONJ
ejpam-4748	290	18	one	one	NUM
ejpam-4748	290	19	,	,	PUNCT
ejpam-4748	290	20	say	say	VERB
ejpam-4748	290	21	tu	tu	PROPN
ejpam-4748	290	22	is	be	AUX
ejpam-4748	290	23	not	not	PART
ejpam-4748	290	24	strictly	strictly	ADV
ejpam-4748	290	25	locating	locate	VERB
ejpam-4748	290	26	,	,	PUNCT
ejpam-4748	290	27	then	then	ADV
ejpam-4748	290	28	tv	tv	NOUN
ejpam-4748	290	29	is	be	AUX
ejpam-4748	290	30	a	a	DET
ejpam-4748	290	31	stable	stable	ADJ
ejpam-4748	290	32	strictly	strictly	ADV
ejpam-4748	290	33	locating	locate	VERB
ejpam-4748	290	34	set	set	NOUN
ejpam-4748	290	35	of	of	ADP
ejpam-4748	290	36	h.	h.	PROPN
ejpam-4748	290	37	(	(	PUNCT
ejpam-4748	290	38	iv	iv	X
ejpam-4748	290	39	)	)	PUNCT
ejpam-4748	290	40	if	if	SCONJ
ejpam-4748	290	41	u	u	NOUN
ejpam-4748	290	42	and	and	CCONJ
ejpam-4748	290	43	v	v	NOUN
ejpam-4748	290	44	are	be	AUX
ejpam-4748	290	45	distinct	distinct	ADJ
ejpam-4748	290	46	non	non	ADJ
ejpam-4748	290	47	-	-	ADJ
ejpam-4748	290	48	adjacent	adjacent	ADJ
ejpam-4748	290	49	vertices	vertex	NOUN
ejpam-4748	290	50	of	of	ADP
ejpam-4748	290	51	g	g	NOUN
ejpam-4748	290	52	with	with	ADP
ejpam-4748	290	53	ng(u	ng(u	NOUN
ejpam-4748	290	54	)	)	PUNCT
ejpam-4748	290	55	=	=	PUNCT
ejpam-4748	290	56	ng(v	ng(v	X
ejpam-4748	290	57	)	)	PUNCT
ejpam-4748	290	58	and	and	CCONJ
ejpam-4748	290	59	one	one	NUM
ejpam-4748	290	60	,	,	PUNCT
ejpam-4748	290	61	say	say	VERB
ejpam-4748	290	62	tu	tu	PROPN
ejpam-4748	290	63	is	be	AUX
ejpam-4748	290	64	not	not	PART
ejpam-4748	290	65	a	a	DET
ejpam-4748	290	66	dominating	dominating	NOUN
ejpam-4748	290	67	set	set	NOUN
ejpam-4748	290	68	,	,	PUNCT
ejpam-4748	290	69	then	then	ADV
ejpam-4748	290	70	tv	tv	NOUN
ejpam-4748	290	71	is	be	AUX
ejpam-4748	290	72	a	a	DET
ejpam-4748	290	73	stable	stable	ADJ
ejpam-4748	290	74	dominating	dominating	NOUN
ejpam-4748	290	75	set	set	NOUN
ejpam-4748	290	76	of	of	ADP
ejpam-4748	290	77	h.	h.	PROPN
ejpam-4748	290	78	(	(	PUNCT
ejpam-4748	290	79	v	v	NOUN
ejpam-4748	290	80	)	)	PUNCT
ejpam-4748	290	81	for	for	ADP
ejpam-4748	290	82	each	each	DET
ejpam-4748	290	83	u	u	PROPN
ejpam-4748	290	84	∈	∈	PROPN
ejpam-4748	290	85	v	v	NOUN
ejpam-4748	290	86	(	(	PUNCT
ejpam-4748	290	87	g	g	NOUN
ejpam-4748	290	88	)	)	PUNCT
ejpam-4748	290	89	with	with	ADP
ejpam-4748	290	90	degg(u	degg(u	PROPN
ejpam-4748	290	91	)	)	PUNCT
ejpam-4748	290	92	=	=	SYM
ejpam-4748	290	93	|v	|v	PROPN
ejpam-4748	290	94	(	(	PUNCT
ejpam-4748	290	95	g)|	g)|	INTJ
ejpam-4748	290	96	−	−	NOUN
ejpam-4748	290	97	1	1	NUM
ejpam-4748	290	98	,	,	PUNCT
ejpam-4748	290	99	it	it	PRON
ejpam-4748	290	100	hold	hold	VERB
ejpam-4748	290	101	that	that	SCONJ
ejpam-4748	290	102	tu\nh(x	tu\nh(x	NOUN
ejpam-4748	290	103	)	)	PUNCT
ejpam-4748	290	104	̸=	̸=	PROPN
ejpam-4748	290	105	∅	∅	NOUN
ejpam-4748	290	106	for	for	ADP
ejpam-4748	290	107	all	all	DET
ejpam-4748	290	108	x	x	SYM
ejpam-4748	290	109	∈	∈	NOUN
ejpam-4748	290	110	v	v	NOUN
ejpam-4748	290	111	(	(	PUNCT
ejpam-4748	290	112	h)\tu	h)\tu	PROPN
ejpam-4748	290	113	,	,	PUNCT
ejpam-4748	290	114	that	that	ADV
ejpam-4748	290	115	is	is	ADV
ejpam-4748	290	116	,	,	PUNCT
ejpam-4748	290	117	tu	tu	PROPN
ejpam-4748	290	118	is	be	AUX
ejpam-4748	290	119	dominating	dominate	VERB
ejpam-4748	290	120	in	in	ADP
ejpam-4748	290	121	h.	h.	PROPN
ejpam-4748	290	122	proof	proof	NOUN
ejpam-4748	290	123	.	.	PUNCT
ejpam-4748	291	1	since	since	SCONJ
ejpam-4748	291	2	γ(h	γ(h	NOUN
ejpam-4748	291	3	)	)	PUNCT
ejpam-4748	291	4	̸=	̸=	PROPN
ejpam-4748	291	5	1	1	NUM
ejpam-4748	291	6	,	,	PUNCT
ejpam-4748	291	7	γ(g[h	γ(g[h	NOUN
ejpam-4748	291	8	]	]	PUNCT
ejpam-4748	291	9	)	)	PUNCT
ejpam-4748	291	10	̸=	̸=	PROPN
ejpam-4748	291	11	1	1	NUM
ejpam-4748	291	12	.	.	PUNCT
ejpam-4748	291	13	by	by	ADP
ejpam-4748	291	14	corollary	corollary	ADJ
ejpam-4748	291	15	1	1	NUM
ejpam-4748	291	16	,	,	PUNCT
ejpam-4748	291	17	g[h	g[h	PROPN
ejpam-4748	291	18	]	]	PUNCT
ejpam-4748	291	19	admits	admit	VERB
ejpam-4748	291	20	a	a	DET
ejpam-4748	291	21	global	global	ADJ
ejpam-4748	291	22	stable	stable	ADJ
ejpam-4748	291	23	locating	locating	NOUN
ejpam-4748	291	24	-	-	PUNCT
ejpam-4748	291	25	dominating	dominating	NOUN
ejpam-4748	291	26	set	set	NOUN
ejpam-4748	291	27	.	.	PUNCT
ejpam-4748	292	1	let	let	VERB
ejpam-4748	292	2	c	c	PRON
ejpam-4748	292	3	be	be	AUX
ejpam-4748	292	4	a	a	DET
ejpam-4748	292	5	global	global	ADJ
ejpam-4748	292	6	stable	stable	ADJ
ejpam-4748	292	7	locating	locating	NOUN
ejpam-4748	292	8	-	-	PUNCT
ejpam-4748	292	9	dominating	dominating	NOUN
ejpam-4748	292	10	set	set	NOUN
ejpam-4748	292	11	in	in	ADP
ejpam-4748	292	12	g[h	g[h	PROPN
ejpam-4748	292	13	]	]	PUNCT
ejpam-4748	292	14	.	.	PUNCT
ejpam-4748	293	1	then	then	ADV
ejpam-4748	293	2	c	c	PROPN
ejpam-4748	293	3	is	be	AUX
ejpam-4748	293	4	a	a	DET
ejpam-4748	293	5	stable	stable	ADJ
ejpam-4748	293	6	locating	locating	NOUN
ejpam-4748	293	7	-	-	PUNCT
ejpam-4748	293	8	dominating	dominating	NOUN
ejpam-4748	293	9	set	set	NOUN
ejpam-4748	293	10	in	in	ADP
ejpam-4748	293	11	g[h	g[h	PROPN
ejpam-4748	293	12	]	]	PUNCT
ejpam-4748	293	13	.	.	PUNCT
ejpam-4748	294	1	by	by	ADP
ejpam-4748	294	2	theorem	theorem	NOUN
ejpam-4748	294	3	7	7	NUM
ejpam-4748	294	4	,	,	PUNCT
ejpam-4748	294	5	(	(	PUNCT
ejpam-4748	294	6	i	i	NOUN
ejpam-4748	294	7	)	)	PUNCT
ejpam-4748	294	8	,	,	PUNCT
ejpam-4748	294	9	(	(	PUNCT
ejpam-4748	294	10	ii	ii	NOUN
ejpam-4748	294	11	)	)	PUNCT
ejpam-4748	294	12	,	,	PUNCT
ejpam-4748	294	13	(	(	PUNCT
ejpam-4748	294	14	iii	iii	NOUN
ejpam-4748	294	15	)	)	PUNCT
ejpam-4748	294	16	,	,	PUNCT
ejpam-4748	294	17	and	and	CCONJ
ejpam-4748	294	18	(	(	PUNCT
ejpam-4748	294	19	iv	iv	X
ejpam-4748	294	20	)	)	PUNCT
ejpam-4748	294	21	hold	hold	NOUN
ejpam-4748	294	22	.	.	PUNCT
ejpam-4748	295	1	now	now	ADV
ejpam-4748	295	2	,	,	PUNCT
ejpam-4748	295	3	let	let	VERB
ejpam-4748	295	4	u	u	PRON
ejpam-4748	295	5	∈	∈	PROPN
ejpam-4748	295	6	v	v	ADP
ejpam-4748	295	7	(	(	PUNCT
ejpam-4748	295	8	g	g	NOUN
ejpam-4748	295	9	)	)	PUNCT
ejpam-4748	295	10	with	with	ADP
ejpam-4748	295	11	degg(u	degg(u	PROPN
ejpam-4748	295	12	)	)	PUNCT
ejpam-4748	295	13	=	=	SYM
ejpam-4748	295	14	|v	|v	PROPN
ejpam-4748	295	15	(	(	PUNCT
ejpam-4748	295	16	g)|−1	g)|−1	PROPN
ejpam-4748	295	17	.	.	PUNCT
ejpam-4748	295	18	suppose	suppose	VERB
ejpam-4748	295	19	that	that	SCONJ
ejpam-4748	295	20	tu	tu	PROPN
ejpam-4748	295	21	is	be	AUX
ejpam-4748	295	22	not	not	PART
ejpam-4748	295	23	a	a	DET
ejpam-4748	295	24	dominating	dominating	NOUN
ejpam-4748	295	25	set	set	NOUN
ejpam-4748	295	26	of	of	ADP
ejpam-4748	295	27	h.	h.	PROPN
ejpam-4748	295	28	then	then	ADV
ejpam-4748	295	29	there	there	PRON
ejpam-4748	295	30	exists	exist	VERB
ejpam-4748	295	31	w	w	PROPN
ejpam-4748	295	32	∈	∈	PROPN
ejpam-4748	295	33	v	v	NOUN
ejpam-4748	295	34	(	(	PUNCT
ejpam-4748	295	35	h)\nh	h)\nh	PROPN
ejpam-4748	295	36	[	[	X
ejpam-4748	295	37	tu	tu	X
ejpam-4748	295	38	]	]	X
ejpam-4748	295	39	and	and	CCONJ
ejpam-4748	295	40	nh(u)∩tu	nh(u)∩tu	NUM
ejpam-4748	295	41	=	=	SYM
ejpam-4748	295	42	tu	tu	PROPN
ejpam-4748	295	43	.	.	PUNCT
ejpam-4748	296	1	thus	thus	ADV
ejpam-4748	296	2	,	,	PUNCT
ejpam-4748	296	3	there	there	PRON
ejpam-4748	296	4	exists	exist	VERB
ejpam-4748	296	5	(	(	PUNCT
ejpam-4748	296	6	u	u	NOUN
ejpam-4748	296	7	,	,	PUNCT
ejpam-4748	296	8	w	w	NOUN
ejpam-4748	296	9	)	)	PUNCT
ejpam-4748	296	10	∈	∈	NOUN
ejpam-4748	296	11	v	v	NOUN
ejpam-4748	296	12	(	(	PUNCT
ejpam-4748	296	13	g[h])\c	g[h])\c	VERB
ejpam-4748	296	14	such	such	ADJ
ejpam-4748	296	15	that	that	SCONJ
ejpam-4748	296	16	ng[h]((u	ng[h]((u	NOUN
ejpam-4748	296	17	,	,	PUNCT
ejpam-4748	296	18	w	w	NOUN
ejpam-4748	296	19	)	)	PUNCT
ejpam-4748	296	20	)	)	PUNCT
ejpam-4748	296	21	∩	∩	NOUN
ejpam-4748	296	22	c	c	NOUN
ejpam-4748	296	23	=	=	SYM
ejpam-4748	296	24	c	c	NOUN
ejpam-4748	296	25	which	which	PRON
ejpam-4748	296	26	implies	imply	VERB
ejpam-4748	296	27	that	that	SCONJ
ejpam-4748	296	28	n	n	ADP
ejpam-4748	296	29	g[h	g[h	PROPN
ejpam-4748	296	30	]	]	X
ejpam-4748	296	31	(	(	PUNCT
ejpam-4748	296	32	(	(	PUNCT
ejpam-4748	296	33	u	u	NOUN
ejpam-4748	296	34	,	,	PUNCT
ejpam-4748	296	35	w	w	NOUN
ejpam-4748	296	36	)	)	PUNCT
ejpam-4748	296	37	)	)	PUNCT
ejpam-4748	296	38	∩	∩	NOUN
ejpam-4748	296	39	c	c	NOUN
ejpam-4748	296	40	=	=	PUNCT
ejpam-4748	296	41	∅.	∅.	VERB
ejpam-4748	296	42	hence	hence	ADV
ejpam-4748	296	43	,	,	PUNCT
ejpam-4748	296	44	c	c	PROPN
ejpam-4748	296	45	is	be	AUX
ejpam-4748	296	46	not	not	PART
ejpam-4748	296	47	a	a	DET
ejpam-4748	296	48	dominating	dominating	NOUN
ejpam-4748	296	49	set	set	NOUN
ejpam-4748	296	50	of	of	ADP
ejpam-4748	296	51	g[h	g[h	PROPN
ejpam-4748	296	52	]	]	PUNCT
ejpam-4748	296	53	,	,	PUNCT
ejpam-4748	296	54	a	a	DET
ejpam-4748	296	55	contradiction	contradiction	NOUN
ejpam-4748	296	56	.	.	PUNCT
ejpam-4748	297	1	therefore	therefore	ADV
ejpam-4748	297	2	,	,	PUNCT
ejpam-4748	297	3	tu	tu	PROPN
ejpam-4748	297	4	is	be	AUX
ejpam-4748	297	5	a	a	DET
ejpam-4748	297	6	dominating	dominating	NOUN
ejpam-4748	297	7	set	set	NOUN
ejpam-4748	297	8	of	of	ADP
ejpam-4748	297	9	h.	h.	NOUN
ejpam-4748	297	10	conversely	conversely	ADV
ejpam-4748	297	11	,	,	PUNCT
ejpam-4748	297	12	suppose	suppose	VERB
ejpam-4748	297	13	that	that	SCONJ
ejpam-4748	297	14	(	(	PUNCT
ejpam-4748	297	15	i	i	NOUN
ejpam-4748	297	16	)	)	PUNCT
ejpam-4748	297	17	,	,	PUNCT
ejpam-4748	297	18	(	(	PUNCT
ejpam-4748	297	19	ii	ii	NOUN
ejpam-4748	297	20	)	)	PUNCT
ejpam-4748	297	21	,	,	PUNCT
ejpam-4748	297	22	(	(	PUNCT
ejpam-4748	297	23	iii	iii	NOUN
ejpam-4748	297	24	)	)	PUNCT
ejpam-4748	297	25	,	,	PUNCT
ejpam-4748	297	26	(	(	PUNCT
ejpam-4748	297	27	iv	iv	X
ejpam-4748	297	28	)	)	PUNCT
ejpam-4748	297	29	,	,	PUNCT
ejpam-4748	297	30	and	and	CCONJ
ejpam-4748	297	31	(	(	PUNCT
ejpam-4748	297	32	v	v	NOUN
ejpam-4748	297	33	)	)	PUNCT
ejpam-4748	297	34	hold	hold	NOUN
ejpam-4748	297	35	.	.	PUNCT
ejpam-4748	298	1	then	then	ADV
ejpam-4748	298	2	by	by	ADP
ejpam-4748	298	3	proposition	proposition	NOUN
ejpam-4748	298	4	7	7	NUM
ejpam-4748	298	5	,	,	PUNCT
ejpam-4748	298	6	c	c	PROPN
ejpam-4748	298	7	is	be	AUX
ejpam-4748	298	8	a	a	DET
ejpam-4748	298	9	stable	stable	ADJ
ejpam-4748	298	10	locating	locating	NOUN
ejpam-4748	298	11	-	-	PUNCT
ejpam-4748	298	12	dominating	dominate	VERB
ejpam-4748	298	13	set	set	NOUN
ejpam-4748	298	14	of	of	ADP
ejpam-4748	298	15	g[h	g[h	NOUN
ejpam-4748	298	16	]	]	PUNCT
ejpam-4748	298	17	.	.	PUNCT
ejpam-4748	299	1	by	by	ADP
ejpam-4748	299	2	(	(	PUNCT
ejpam-4748	299	3	i	i	NOUN
ejpam-4748	299	4	)	)	PUNCT
ejpam-4748	299	5	and	and	CCONJ
ejpam-4748	299	6	(	(	PUNCT
ejpam-4748	299	7	v	v	NOUN
ejpam-4748	299	8	)	)	PUNCT
ejpam-4748	299	9	,	,	PUNCT
ejpam-4748	299	10	c	c	PROPN
ejpam-4748	299	11	is	be	AUX
ejpam-4748	299	12	a	a	DET
ejpam-4748	299	13	dominating	dominating	NOUN
ejpam-4748	299	14	set	set	NOUN
ejpam-4748	299	15	of	of	ADP
ejpam-4748	299	16	g[h	g[h	NOUN
ejpam-4748	299	17	]	]	PUNCT
ejpam-4748	299	18	.	.	PUNCT
ejpam-4748	300	1	by	by	ADP
ejpam-4748	300	2	lemma	lemma	PROPN
ejpam-4748	300	3	1	1	NUM
ejpam-4748	300	4	and	and	CCONJ
ejpam-4748	300	5	(	(	PUNCT
ejpam-4748	300	6	ii	ii	NOUN
ejpam-4748	300	7	)	)	PUNCT
ejpam-4748	300	8	,	,	PUNCT
ejpam-4748	300	9	c	c	PROPN
ejpam-4748	300	10	is	be	AUX
ejpam-4748	300	11	a	a	DET
ejpam-4748	300	12	stable	stable	ADJ
ejpam-4748	300	13	locating	locating	NOUN
ejpam-4748	300	14	-	-	PUNCT
ejpam-4748	300	15	dominating	dominate	VERB
ejpam-4748	300	16	set	set	NOUN
ejpam-4748	300	17	of	of	ADP
ejpam-4748	300	18	g[h	g[h	NOUN
ejpam-4748	300	19	]	]	PUNCT
ejpam-4748	300	20	.	.	PUNCT
ejpam-4748	301	1	thus	thus	ADV
ejpam-4748	301	2	,	,	PUNCT
ejpam-4748	301	3	c	c	PROPN
ejpam-4748	301	4	is	be	AUX
ejpam-4748	301	5	a	a	DET
ejpam-4748	301	6	stable	stable	ADJ
ejpam-4748	301	7	locating	locating	NOUN
ejpam-4748	301	8	-	-	PUNCT
ejpam-4748	301	9	dominating	dominate	VERB
ejpam-4748	301	10	set	set	NOUN
ejpam-4748	301	11	of	of	ADP
ejpam-4748	301	12	g[h	g[h	PROPN
ejpam-4748	301	13	]	]	PUNCT
ejpam-4748	301	14	.	.	PUNCT
ejpam-4748	302	1	therefore	therefore	ADV
ejpam-4748	302	2	,	,	PUNCT
ejpam-4748	302	3	c	c	PROPN
ejpam-4748	302	4	is	be	AUX
ejpam-4748	302	5	a	a	DET
ejpam-4748	302	6	global	global	ADJ
ejpam-4748	302	7	stable	stable	ADJ
ejpam-4748	302	8	locating	locating	NOUN
ejpam-4748	302	9	-	-	PUNCT
ejpam-4748	302	10	dominating	dominate	VERB
ejpam-4748	302	11	set	set	NOUN
ejpam-4748	302	12	of	of	ADP
ejpam-4748	302	13	g[h	g[h	NOUN
ejpam-4748	302	14	]	]	PUNCT
ejpam-4748	302	15	.	.	PUNCT
ejpam-4748	303	1	□	□	PUNCT
ejpam-4748	303	2	the	the	DET
ejpam-4748	303	3	following	following	ADJ
ejpam-4748	303	4	result	result	NOUN
ejpam-4748	303	5	is	be	AUX
ejpam-4748	303	6	a	a	DET
ejpam-4748	303	7	consequence	consequence	NOUN
ejpam-4748	303	8	of	of	ADP
ejpam-4748	303	9	proposition	proposition	NOUN
ejpam-4748	303	10	5	5	NUM
ejpam-4748	303	11	.	.	PUNCT
ejpam-4748	303	12	corollary	corollary	ADJ
ejpam-4748	303	13	5	5	NUM
ejpam-4748	303	14	.	.	PUNCT
ejpam-4748	304	1	let	let	VERB
ejpam-4748	304	2	g	g	NOUN
ejpam-4748	304	3	and	and	CCONJ
ejpam-4748	304	4	h	h	PROPN
ejpam-4748	304	5	be	be	VERB
ejpam-4748	304	6	a	a	DET
ejpam-4748	304	7	non	non	ADJ
ejpam-4748	304	8	-	-	ADJ
ejpam-4748	304	9	trivial	trivial	ADJ
ejpam-4748	304	10	connected	connected	ADJ
ejpam-4748	304	11	graphs	graph	NOUN
ejpam-4748	304	12	with	with	ADP
ejpam-4748	304	13	∆(h	∆(h	NOUN
ejpam-4748	304	14	)	)	PUNCT
ejpam-4748	304	15	≤	≤	NOUN
ejpam-4748	304	16	|v	|v	X
ejpam-4748	304	17	(	(	PUNCT
ejpam-4748	304	18	h)|	h)|	NOUN
ejpam-4748	304	19	−	−	PROPN
ejpam-4748	304	20	2	2	NUM
ejpam-4748	304	21	.	.	PUNCT
ejpam-4748	305	1	if	if	SCONJ
ejpam-4748	305	2	γ(g	γ(g	PROPN
ejpam-4748	305	3	)	)	PUNCT
ejpam-4748	305	4	̸=	̸=	PROPN
ejpam-4748	305	5	1	1	NUM
ejpam-4748	305	6	,	,	PUNCT
ejpam-4748	305	7	then	then	ADV
ejpam-4748	305	8	λs	λs	ADP
ejpam-4748	305	9	gl(g[h	gl(g[h	NOUN
ejpam-4748	305	10	]	]	X
ejpam-4748	305	11	)	)	PUNCT
ejpam-4748	305	12	=	=	PUNCT
ejpam-4748	305	13	γsl	γsl	VERB
ejpam-4748	305	14	(	(	PUNCT
ejpam-4748	305	15	h	h	NOUN
ejpam-4748	305	16	)	)	PUNCT
ejpam-4748	305	17	.	.	PUNCT
ejpam-4748	306	1	conclusion	conclusion	NOUN
ejpam-4748	306	2	this	this	DET
ejpam-4748	306	3	study	study	NOUN
ejpam-4748	306	4	introduced	introduce	VERB
ejpam-4748	306	5	and	and	CCONJ
ejpam-4748	306	6	initially	initially	ADV
ejpam-4748	306	7	investigated	investigate	VERB
ejpam-4748	306	8	the	the	DET
ejpam-4748	306	9	concept	concept	NOUN
ejpam-4748	306	10	of	of	ADP
ejpam-4748	306	11	global	global	ADJ
ejpam-4748	306	12	stable	stable	ADJ
ejpam-4748	306	13	locatingdominating	locatingdominating	NOUN
ejpam-4748	306	14	set	set	NOUN
ejpam-4748	306	15	.	.	PUNCT
ejpam-4748	307	1	this	this	DET
ejpam-4748	307	2	concept	concept	NOUN
ejpam-4748	307	3	was	be	AUX
ejpam-4748	307	4	shown	show	VERB
ejpam-4748	307	5	to	to	PART
ejpam-4748	307	6	be	be	AUX
ejpam-4748	307	7	different	different	ADJ
ejpam-4748	307	8	from	from	ADP
ejpam-4748	307	9	the	the	DET
ejpam-4748	307	10	previously	previously	ADV
ejpam-4748	307	11	defined	define	VERB
ejpam-4748	307	12	concept	concept	NOUN
ejpam-4748	307	13	of	of	ADP
ejpam-4748	307	14	stable	stable	ADJ
ejpam-4748	307	15	locating	locating	NOUN
ejpam-4748	307	16	-	-	PUNCT
ejpam-4748	307	17	dominating	dominating	NOUN
ejpam-4748	307	18	set	set	NOUN
ejpam-4748	307	19	.	.	PUNCT
ejpam-4748	308	1	graph	graph	NOUN
ejpam-4748	308	2	which	which	PRON
ejpam-4748	308	3	attains	attain	VERB
ejpam-4748	308	4	the	the	DET
ejpam-4748	308	5	order	order	NOUN
ejpam-4748	308	6	as	as	SCONJ
ejpam-4748	308	7	its	its	PRON
ejpam-4748	308	8	global	global	ADJ
ejpam-4748	308	9	stable	stable	ADJ
ejpam-4748	308	10	locating	locating	NOUN
ejpam-4748	308	11	-	-	PUNCT
ejpam-4748	308	12	domination	domination	NOUN
ejpam-4748	308	13	number	number	NOUN
ejpam-4748	308	14	was	be	AUX
ejpam-4748	308	15	characterized	characterize	VERB
ejpam-4748	308	16	.	.	PUNCT
ejpam-4748	309	1	global	global	ADJ
ejpam-4748	309	2	stable	stable	ADJ
ejpam-4748	309	3	locating	locating	NOUN
ejpam-4748	309	4	-	-	PUNCT
ejpam-4748	309	5	dominating	dominating	NOUN
ejpam-4748	309	6	sets	set	NOUN
ejpam-4748	309	7	in	in	ADP
ejpam-4748	309	8	the	the	DET
ejpam-4748	309	9	join	join	NOUN
ejpam-4748	309	10	,	,	PUNCT
ejpam-4748	309	11	edge	edge	NOUN
ejpam-4748	309	12	corona	corona	NOUN
ejpam-4748	309	13	,	,	PUNCT
ejpam-4748	309	14	corona	corona	PROPN
ejpam-4748	309	15	,	,	PUNCT
ejpam-4748	309	16	and	and	CCONJ
ejpam-4748	309	17	lexicographic	lexicographic	ADJ
ejpam-4748	309	18	product	product	NOUN
ejpam-4748	309	19	of	of	ADP
ejpam-4748	309	20	graphs	graph	NOUN
ejpam-4748	309	21	were	be	AUX
ejpam-4748	309	22	characterized	characterize	VERB
ejpam-4748	309	23	and	and	CCONJ
ejpam-4748	309	24	global	global	ADJ
ejpam-4748	309	25	stable	stable	ADJ
ejpam-4748	309	26	locating	locating	NOUN
ejpam-4748	309	27	-	-	PUNCT
ejpam-4748	309	28	domination	domination	NOUN
ejpam-4748	309	29	number	number	NOUN
ejpam-4748	309	30	of	of	ADP
ejpam-4748	309	31	each	each	PRON
ejpam-4748	309	32	of	of	ADP
ejpam-4748	309	33	these	these	DET
ejpam-4748	309	34	graphs	graph	NOUN
ejpam-4748	309	35	were	be	AUX
ejpam-4748	309	36	determined	determine	VERB
ejpam-4748	309	37	.	.	PUNCT
ejpam-4748	310	1	in	in	ADP
ejpam-4748	310	2	this	this	DET
ejpam-4748	310	3	paper	paper	NOUN
ejpam-4748	310	4	,	,	PUNCT
ejpam-4748	310	5	the	the	DET
ejpam-4748	310	6	authors	author	NOUN
ejpam-4748	310	7	did	do	AUX
ejpam-4748	310	8	not	not	PART
ejpam-4748	310	9	provide	provide	VERB
ejpam-4748	310	10	any	any	DET
ejpam-4748	310	11	realization	realization	NOUN
ejpam-4748	310	12	result	result	NOUN
ejpam-4748	310	13	involving	involve	VERB
ejpam-4748	310	14	global	global	ADJ
ejpam-4748	310	15	stable	stable	ADJ
ejpam-4748	310	16	locating	locating	NOUN
ejpam-4748	310	17	-	-	PUNCT
ejpam-4748	310	18	domination	domination	NOUN
ejpam-4748	310	19	number	number	NOUN
ejpam-4748	310	20	and	and	CCONJ
ejpam-4748	310	21	any	any	DET
ejpam-4748	310	22	locating	locate	VERB
ejpam-4748	310	23	-	-	PUNCT
ejpam-4748	310	24	related	relate	VERB
ejpam-4748	310	25	parameters	parameter	NOUN
ejpam-4748	310	26	.	.	PUNCT
ejpam-4748	311	1	thus	thus	ADV
ejpam-4748	311	2	,	,	PUNCT
ejpam-4748	311	3	it	it	PRON
ejpam-4748	311	4	is	be	AUX
ejpam-4748	311	5	recommended	recommend	VERB
ejpam-4748	311	6	that	that	SCONJ
ejpam-4748	311	7	a	a	DET
ejpam-4748	311	8	realization	realization	NOUN
ejpam-4748	311	9	result	result	NOUN
ejpam-4748	311	10	involving	involve	VERB
ejpam-4748	311	11	global	global	ADJ
ejpam-4748	311	12	stable	stable	ADJ
ejpam-4748	311	13	locating	locating	NOUN
ejpam-4748	311	14	-	-	PUNCT
ejpam-4748	311	15	domination	domination	NOUN
ejpam-4748	311	16	number	number	NOUN
ejpam-4748	311	17	and	and	CCONJ
ejpam-4748	311	18	stable	stable	ADJ
ejpam-4748	311	19	locating	locating	NOUN
ejpam-4748	311	20	-	-	PUNCT
ejpam-4748	311	21	domination	domination	NOUN
ejpam-4748	311	22	number	number	NOUN
ejpam-4748	311	23	be	be	AUX
ejpam-4748	311	24	constructed	construct	VERB
ejpam-4748	311	25	.	.	PUNCT
ejpam-4748	312	1	further	far	ADV
ejpam-4748	312	2	,	,	PUNCT
ejpam-4748	312	3	the	the	DET
ejpam-4748	312	4	concept	concept	NOUN
ejpam-4748	312	5	can	can	AUX
ejpam-4748	312	6	be	be	AUX
ejpam-4748	312	7	studied	study	VERB
ejpam-4748	312	8	for	for	ADP
ejpam-4748	312	9	other	other	ADJ
ejpam-4748	312	10	graphs	graph	NOUN
ejpam-4748	312	11	not	not	PART
ejpam-4748	312	12	considered	consider	VERB
ejpam-4748	312	13	in	in	ADP
ejpam-4748	312	14	this	this	DET
ejpam-4748	312	15	study	study	NOUN
ejpam-4748	312	16	.	.	PUNCT
ejpam-4748	313	1	references	reference	NOUN
ejpam-4748	313	2	1694	1694	NUM
ejpam-4748	313	3	acknowledgements	acknowledgement	NOUN
ejpam-4748	313	4	the	the	DET
ejpam-4748	313	5	authors	author	NOUN
ejpam-4748	313	6	would	would	AUX
ejpam-4748	313	7	like	like	VERB
ejpam-4748	313	8	to	to	PART
ejpam-4748	313	9	thank	thank	VERB
ejpam-4748	313	10	the	the	DET
ejpam-4748	313	11	reviewers	reviewer	NOUN
ejpam-4748	313	12	for	for	ADP
ejpam-4748	313	13	their	their	PRON
ejpam-4748	313	14	invaluable	invaluable	ADJ
ejpam-4748	313	15	comments	comment	NOUN
ejpam-4748	313	16	and	and	CCONJ
ejpam-4748	313	17	suggestions	suggestion	NOUN
ejpam-4748	313	18	that	that	PRON
ejpam-4748	313	19	led	lead	VERB
ejpam-4748	313	20	to	to	ADP
ejpam-4748	313	21	this	this	DET
ejpam-4748	313	22	improved	improve	VERB
ejpam-4748	313	23	version	version	NOUN
ejpam-4748	313	24	of	of	ADP
ejpam-4748	313	25	the	the	DET
ejpam-4748	313	26	paper	paper	NOUN
ejpam-4748	313	27	.	.	PUNCT
ejpam-4748	314	1	this	this	DET
ejpam-4748	314	2	research	research	NOUN
ejpam-4748	314	3	is	be	AUX
ejpam-4748	314	4	funded	fund	VERB
ejpam-4748	314	5	by	by	ADP
ejpam-4748	314	6	the	the	DET
ejpam-4748	314	7	department	department	PROPN
ejpam-4748	314	8	of	of	ADP
ejpam-4748	314	9	science	science	NOUN
ejpam-4748	314	10	and	and	CCONJ
ejpam-4748	314	11	technology	technology	NOUN
ejpam-4748	314	12	-	-	PUNCT
ejpam-4748	314	13	accelerated	accelerate	VERB
ejpam-4748	314	14	science	science	NOUN
ejpam-4748	314	15	and	and	CCONJ
ejpam-4748	314	16	technology	technology	NOUN
ejpam-4748	314	17	human	human	ADJ
ejpam-4748	314	18	resource	resource	NOUN
ejpam-4748	314	19	development	development	NOUN
ejpam-4748	314	20	program	program	NOUN
ejpam-4748	314	21	(	(	PUNCT
ejpam-4748	314	22	dost	dost	NOUN
ejpam-4748	314	23	-	-	PUNCT
ejpam-4748	314	24	asthrdp	asthrdp	NOUN
ejpam-4748	314	25	)	)	PUNCT
ejpam-4748	314	26	and	and	CCONJ
ejpam-4748	314	27	the	the	DET
ejpam-4748	314	28	mindanao	mindanao	PROPN
ejpam-4748	314	29	state	state	PROPN
ejpam-4748	314	30	universityiligan	universityiligan	PROPN
ejpam-4748	314	31	institute	institute	PROPN
ejpam-4748	314	32	of	of	ADP
ejpam-4748	314	33	technology	technology	PROPN
ejpam-4748	314	34	.	.	PUNCT
ejpam-4748	315	1	references	reference	NOUN
ejpam-4748	315	2	[	[	X
ejpam-4748	315	3	1	1	NUM
ejpam-4748	315	4	]	]	PUNCT
ejpam-4748	315	5	e.	e.	PROPN
ejpam-4748	315	6	ahmad	ahmad	PROPN
ejpam-4748	315	7	,	,	PUNCT
ejpam-4748	315	8	s.	s.	PROPN
ejpam-4748	315	9	canoy	canoy	PROPN
ejpam-4748	315	10	jr	jr	PROPN
ejpam-4748	315	11	.	.	PROPN
ejpam-4748	315	12	,	,	PUNCT
ejpam-4748	315	13	and	and	CCONJ
ejpam-4748	315	14	g.	g.	PROPN
ejpam-4748	315	15	malacas	malacas	PROPN
ejpam-4748	315	16	.	.	PUNCT
ejpam-4748	316	1	stable	stable	ADJ
ejpam-4748	316	2	locating	locating	NOUN
ejpam-4748	316	3	-	-	PUNCT
ejpam-4748	316	4	dominating	dominating	NOUN
ejpam-4748	316	5	sets	set	NOUN
ejpam-4748	316	6	in	in	ADP
ejpam-4748	316	7	graphs	graph	NOUN
ejpam-4748	316	8	.	.	PUNCT
ejpam-4748	317	1	european	european	ADJ
ejpam-4748	317	2	journal	journal	PROPN
ejpam-4748	317	3	of	of	ADP
ejpam-4748	317	4	pure	pure	ADJ
ejpam-4748	317	5	and	and	CCONJ
ejpam-4748	317	6	applied	applied	ADJ
ejpam-4748	317	7	mathematics	mathematic	NOUN
ejpam-4748	317	8	,	,	PUNCT
ejpam-4748	317	9	14:638–649	14:638–649	PROPN
ejpam-4748	317	10	,	,	PUNCT
ejpam-4748	317	11	2021	2021	NUM
ejpam-4748	317	12	.	.	PUNCT
ejpam-4748	318	1	[	[	X
ejpam-4748	318	2	2	2	NUM
ejpam-4748	318	3	]	]	PUNCT
ejpam-4748	318	4	m.	m.	NOUN
ejpam-4748	318	5	mora	mora	PROPN
ejpam-4748	318	6	c.	c.	PROPN
ejpam-4748	318	7	hernando	hernando	PROPN
ejpam-4748	318	8	and	and	CCONJ
ejpam-4748	318	9	i.	i.	PROPN
ejpam-4748	318	10	pelayo	pelayo	PROPN
ejpam-4748	318	11	.	.	PUNCT
ejpam-4748	319	1	on	on	ADP
ejpam-4748	319	2	global	global	ADJ
ejpam-4748	319	3	location	location	NOUN
ejpam-4748	319	4	-	-	PUNCT
ejpam-4748	319	5	domination	domination	NOUN
ejpam-4748	319	6	in	in	ADP
ejpam-4748	319	7	graphs	graph	NOUN
ejpam-4748	319	8	.	.	PUNCT
ejpam-4748	320	1	ars	ars	PROPN
ejpam-4748	320	2	mathematica	mathematica	PROPN
ejpam-4748	320	3	contemporanea	contemporanea	PROPN
ejpam-4748	320	4	,	,	PUNCT
ejpam-4748	320	5	8:365–379	8:365–379	PROPN
ejpam-4748	320	6	,	,	PUNCT
ejpam-4748	320	7	2015	2015	NUM
ejpam-4748	320	8	.	.	PUNCT
ejpam-4748	321	1	[	[	X
ejpam-4748	321	2	3	3	X
ejpam-4748	321	3	]	]	PUNCT
ejpam-4748	321	4	m.	m.	NOUN
ejpam-4748	321	5	mora	mora	PROPN
ejpam-4748	321	6	c.	c.	PROPN
ejpam-4748	321	7	hernando	hernando	PROPN
ejpam-4748	321	8	and	and	CCONJ
ejpam-4748	321	9	i.	i.	PROPN
ejpam-4748	321	10	pelayo	pelayo	PROPN
ejpam-4748	321	11	.	.	PUNCT
ejpam-4748	322	1	locating	locate	VERB
ejpam-4748	322	2	domination	domination	NOUN
ejpam-4748	322	3	in	in	ADP
ejpam-4748	322	4	bipartite	bipartite	NOUN
ejpam-4748	322	5	graphs	graph	NOUN
ejpam-4748	322	6	and	and	CCONJ
ejpam-4748	322	7	their	their	PRON
ejpam-4748	322	8	complements	complement	NOUN
ejpam-4748	322	9	.	.	PUNCT
ejpam-4748	323	1	discrete	discrete	ADJ
ejpam-4748	323	2	applied	applied	ADJ
ejpam-4748	323	3	mathematics	mathematic	NOUN
ejpam-4748	323	4	,	,	PUNCT
ejpam-4748	323	5	pages	page	NOUN
ejpam-4748	323	6	1–15	1–15	PROPN
ejpam-4748	323	7	,	,	PUNCT
ejpam-4748	323	8	2017	2017	NUM
ejpam-4748	323	9	.	.	PUNCT
ejpam-4748	324	1	[	[	X
ejpam-4748	324	2	4	4	X
ejpam-4748	324	3	]	]	X
ejpam-4748	324	4	s.	s.	PROPN
ejpam-4748	324	5	canoy	canoy	PROPN
ejpam-4748	324	6	jr	jr	PROPN
ejpam-4748	324	7	.	.	PUNCT
ejpam-4748	324	8	g.	g.	PROPN
ejpam-4748	324	9	malacas	malacas	PROPN
ejpam-4748	324	10	and	and	CCONJ
ejpam-4748	324	11	e.	e.	PROPN
ejpam-4748	324	12	chacon	chacon	PROPN
ejpam-4748	324	13	.	.	PUNCT
ejpam-4748	325	1	stable	stable	ADJ
ejpam-4748	325	2	locating	locating	NOUN
ejpam-4748	325	3	-	-	PUNCT
ejpam-4748	325	4	dominating	dominating	NOUN
ejpam-4748	325	5	sets	set	NOUN
ejpam-4748	325	6	in	in	ADP
ejpam-4748	325	7	the	the	DET
ejpam-4748	325	8	edge	edge	NOUN
ejpam-4748	325	9	corona	corona	NOUN
ejpam-4748	325	10	and	and	CCONJ
ejpam-4748	325	11	lexicographic	lexicographic	ADJ
ejpam-4748	325	12	product	product	NOUN
ejpam-4748	325	13	of	of	ADP
ejpam-4748	325	14	graphs	graph	NOUN
ejpam-4748	325	15	.	.	PUNCT
ejpam-4748	326	1	european	european	ADJ
ejpam-4748	326	2	journal	journal	PROPN
ejpam-4748	326	3	of	of	ADP
ejpam-4748	326	4	pure	pure	ADJ
ejpam-4748	326	5	and	and	CCONJ
ejpam-4748	326	6	applied	applied	ADJ
ejpam-4748	326	7	mathematics	mathematic	NOUN
ejpam-4748	326	8	,	,	PUNCT
ejpam-4748	326	9	16:479–490	16:479–490	NUM
ejpam-4748	326	10	,	,	PUNCT
ejpam-4748	326	11	2023	2023	NUM
ejpam-4748	326	12	.	.	PUNCT
ejpam-4748	327	1	[	[	X
ejpam-4748	327	2	5	5	X
ejpam-4748	327	3	]	]	PUNCT
ejpam-4748	327	4	s.	s.	PROPN
ejpam-4748	327	5	canoy	canoy	PROPN
ejpam-4748	327	6	jr	jr	PROPN
ejpam-4748	327	7	.	.	PROPN
ejpam-4748	327	8	and	and	CCONJ
ejpam-4748	327	9	g.	g.	PROPN
ejpam-4748	327	10	malacas	malacas	PROPN
ejpam-4748	327	11	.	.	PUNCT
ejpam-4748	328	1	determining	determine	VERB
ejpam-4748	328	2	the	the	DET
ejpam-4748	328	3	intruder	intruder	NOUN
ejpam-4748	328	4	’s	’s	PART
ejpam-4748	328	5	location	location	NOUN
ejpam-4748	328	6	in	in	ADP
ejpam-4748	328	7	a	a	DET
ejpam-4748	328	8	given	give	VERB
ejpam-4748	328	9	network	network	NOUN
ejpam-4748	328	10	:	:	PUNCT
ejpam-4748	328	11	locating	locate	VERB
ejpam-4748	328	12	-	-	PUNCT
ejpam-4748	328	13	dominating	dominating	NOUN
ejpam-4748	328	14	sets	set	NOUN
ejpam-4748	328	15	in	in	ADP
ejpam-4748	328	16	a	a	DET
ejpam-4748	328	17	graph	graph	NOUN
ejpam-4748	328	18	.	.	PUNCT
ejpam-4748	329	1	nrcp	nrcp	PROPN
ejpam-4748	329	2	research	research	PROPN
ejpam-4748	329	3	journal	journal	PROPN
ejpam-4748	329	4	,	,	PUNCT
ejpam-4748	329	5	13:1–8	13:1–8	NUM
ejpam-4748	329	6	,	,	PUNCT
ejpam-4748	329	7	2013	2013	NUM
ejpam-4748	329	8	.	.	PUNCT
ejpam-4748	330	1	[	[	X
ejpam-4748	330	2	6	6	X
ejpam-4748	330	3	]	]	PUNCT
ejpam-4748	330	4	s.	s.	PROPN
ejpam-4748	330	5	canoy	canoy	PROPN
ejpam-4748	330	6	jr	jr	PROPN
ejpam-4748	330	7	.	.	PROPN
ejpam-4748	330	8	and	and	CCONJ
ejpam-4748	330	9	g.	g.	PROPN
ejpam-4748	330	10	malacas	malacas	PROPN
ejpam-4748	330	11	.	.	PUNCT
ejpam-4748	331	1	locating	locate	VERB
ejpam-4748	331	2	-	-	PUNCT
ejpam-4748	331	3	dominating	dominating	NOUN
ejpam-4748	331	4	sets	set	NOUN
ejpam-4748	331	5	in	in	ADP
ejpam-4748	331	6	graphs	graph	NOUN
ejpam-4748	331	7	.	.	PUNCT
ejpam-4748	332	1	applied	apply	VERB
ejpam-4748	332	2	mathematical	mathematical	ADJ
ejpam-4748	332	3	sciences	sciences	PROPN
ejpam-4748	332	4	,	,	PUNCT
ejpam-4748	332	5	8:4381–4388	8:4381–4388	NUM
ejpam-4748	332	6	,	,	PUNCT
ejpam-4748	332	7	2013	2013	NUM
ejpam-4748	332	8	.	.	PUNCT
ejpam-4748	333	1	[	[	X
ejpam-4748	333	2	7	7	X
ejpam-4748	333	3	]	]	X
ejpam-4748	333	4	c.	c.	PROPN
ejpam-4748	333	5	mynhardt	mynhardt	PROPN
ejpam-4748	333	6	m.	m.	PROPN
ejpam-4748	333	7	frick	frick	PROPN
ejpam-4748	333	8	and	and	CCONJ
ejpam-4748	333	9	r.	r.	PROPN
ejpam-4748	333	10	skaggs	skaggs	PROPN
ejpam-4748	333	11	.	.	PUNCT
ejpam-4748	334	1	critical	critical	ADJ
ejpam-4748	334	2	graphs	graph	NOUN
ejpam-4748	334	3	with	with	ADP
ejpam-4748	334	4	respect	respect	NOUN
ejpam-4748	334	5	to	to	ADP
ejpam-4748	334	6	vertex	vertex	NOUN
ejpam-4748	334	7	identification	identification	NOUN
ejpam-4748	334	8	.	.	PUNCT
ejpam-4748	335	1	utilitas	utilitas	PROPN
ejpam-4748	335	2	math	math	NOUN
ejpam-4748	335	3	,	,	PUNCT
ejpam-4748	335	4	76:213–227	76:213–227	PROPN
ejpam-4748	335	5	,	,	PUNCT
ejpam-4748	335	6	2008	2008	NUM
ejpam-4748	335	7	.	.	PUNCT
ejpam-4748	336	1	[	[	X
ejpam-4748	336	2	8	8	NUM
ejpam-4748	336	3	]	]	X
ejpam-4748	336	4	g.	g.	NOUN
ejpam-4748	336	5	malacas	malacas	PROPN
ejpam-4748	336	6	and	and	CCONJ
ejpam-4748	336	7	a.	a.	NOUN
ejpam-4748	336	8	malnegro	malnegro	PROPN
ejpam-4748	336	9	.	.	PUNCT
ejpam-4748	337	1	global	global	ADJ
ejpam-4748	337	2	location	location	NOUN
ejpam-4748	337	3	-	-	PUNCT
ejpam-4748	337	4	domination	domination	NOUN
ejpam-4748	337	5	in	in	ADP
ejpam-4748	337	6	the	the	DET
ejpam-4748	337	7	join	join	NOUN
ejpam-4748	337	8	and	and	CCONJ
ejpam-4748	337	9	cartesian	cartesian	ADJ
ejpam-4748	337	10	product	product	NOUN
ejpam-4748	337	11	of	of	ADP
ejpam-4748	337	12	graphs	graph	NOUN
ejpam-4748	337	13	.	.	PUNCT
ejpam-4748	338	1	discrete	discrete	ADJ
ejpam-4748	338	2	and	and	CCONJ
ejpam-4748	338	3	computational	computational	ADJ
ejpam-4748	338	4	geometry	geometry	NOUN
ejpam-4748	338	5	,	,	PUNCT
ejpam-4748	338	6	graphs	graph	NOUN
ejpam-4748	338	7	,	,	PUNCT
ejpam-4748	338	8	and	and	CCONJ
ejpam-4748	338	9	games	game	NOUN
ejpam-4748	338	10	:	:	PUNCT
ejpam-4748	338	11	21st	21st	ADJ
ejpam-4748	338	12	japanese	japanese	ADJ
ejpam-4748	338	13	conference	conference	NOUN
ejpam-4748	338	14	,	,	PUNCT
ejpam-4748	338	15	pages	page	NOUN
ejpam-4748	338	16	36–42	36–42	NUM
ejpam-4748	338	17	,	,	PUNCT
ejpam-4748	338	18	2018	2018	NUM
ejpam-4748	338	19	.	.	PUNCT
ejpam-4748	339	1	[	[	X
ejpam-4748	339	2	9	9	NUM
ejpam-4748	339	3	]	]	X
ejpam-4748	339	4	g.	g.	NOUN
ejpam-4748	339	5	malacas	malacas	PROPN
ejpam-4748	339	6	and	and	CCONJ
ejpam-4748	339	7	a.	a.	NOUN
ejpam-4748	339	8	malnegro	malnegro	PROPN
ejpam-4748	339	9	.	.	PUNCT
ejpam-4748	340	1	global	global	ADJ
ejpam-4748	340	2	location	location	NOUN
ejpam-4748	340	3	-	-	PUNCT
ejpam-4748	340	4	domination	domination	NOUN
ejpam-4748	340	5	in	in	ADP
ejpam-4748	340	6	the	the	DET
ejpam-4748	340	7	lexicographic	lexicographic	ADJ
ejpam-4748	340	8	product	product	NOUN
ejpam-4748	340	9	and	and	CCONJ
ejpam-4748	340	10	corona	corona	NOUN
ejpam-4748	340	11	of	of	ADP
ejpam-4748	340	12	graphs	graph	NOUN
ejpam-4748	340	13	.	.	PUNCT
ejpam-4748	341	1	advances	advance	NOUN
ejpam-4748	341	2	and	and	CCONJ
ejpam-4748	341	3	applications	application	NOUN
ejpam-4748	341	4	in	in	ADP
ejpam-4748	341	5	discrete	discrete	ADJ
ejpam-4748	341	6	mathematics	mathematic	NOUN
ejpam-4748	341	7	,	,	PUNCT
ejpam-4748	341	8	20:61–71	20:61–71	NUM
ejpam-4748	341	9	,	,	PUNCT
ejpam-4748	341	10	2019	2019	NUM
ejpam-4748	341	11	.	.	PUNCT
ejpam-4748	342	1	[	[	X
ejpam-4748	342	2	10	10	NUM
ejpam-4748	342	3	]	]	PUNCT
ejpam-4748	342	4	m.	m.	NOUN
ejpam-4748	342	5	chellal	chellal	PROPN
ejpam-4748	342	6	p.	p.	PROPN
ejpam-4748	342	7	slater	slater	PROPN
ejpam-4748	342	8	and	and	CCONJ
ejpam-4748	342	9	m.	m.	NOUN
ejpam-4748	342	10	mimouni	mimouni	PROPN
ejpam-4748	342	11	.	.	PUNCT
ejpam-4748	343	1	on	on	ADP
ejpam-4748	343	2	location	location	NOUN
ejpam-4748	343	3	-	-	PUNCT
ejpam-4748	343	4	domination	domination	NOUN
ejpam-4748	343	5	in	in	ADP
ejpam-4748	343	6	graphs	graph	NOUN
ejpam-4748	343	7	.	.	PUNCT
ejpam-4748	344	1	discussiones	discussione	NOUN
ejpam-4748	344	2	mathematicae	mathematicae	PROPN
ejpam-4748	344	3	,	,	PUNCT
ejpam-4748	344	4	30:233–235	30:233–235	NUM
ejpam-4748	344	5	,	,	PUNCT
ejpam-4748	344	6	2010	2010	NUM
ejpam-4748	344	7	.	.	PUNCT
ejpam-4748	345	1	[	[	X
ejpam-4748	345	2	11	11	NUM
ejpam-4748	345	3	]	]	X
ejpam-4748	345	4	p.	p.	PROPN
ejpam-4748	345	5	slater	slater	PROPN
ejpam-4748	345	6	.	.	PUNCT
ejpam-4748	346	1	dominating	dominating	NOUN
ejpam-4748	346	2	and	and	CCONJ
ejpam-4748	346	3	reference	reference	NOUN
ejpam-4748	346	4	sets	set	NOUN
ejpam-4748	346	5	in	in	ADP
ejpam-4748	346	6	a	a	DET
ejpam-4748	346	7	graph	graph	NOUN
ejpam-4748	346	8	.	.	PUNCT
ejpam-4748	347	1	journal	journal	PROPN
ejpam-4748	347	2	of	of	ADP
ejpam-4748	347	3	mathematical	mathematical	ADJ
ejpam-4748	347	4	and	and	CCONJ
ejpam-4748	347	5	physical	physical	ADJ
ejpam-4748	347	6	sciences	science	NOUN
ejpam-4748	347	7	,	,	PUNCT
ejpam-4748	347	8	22:445–455	22:445–455	PROPN
ejpam-4748	347	9	,	,	PUNCT
ejpam-4748	347	10	1988	1988	NUM
ejpam-4748	347	11	.	.	PUNCT