id	sid	tid	token	lemma	pos
ejpam-3998	1	1	european	european	PROPN
ejpam-3998	1	2	journal	journal	PROPN
ejpam-3998	1	3	of	of	ADP
ejpam-3998	1	4	pure	pure	ADJ
ejpam-3998	1	5	and	and	CCONJ
ejpam-3998	1	6	applied	apply	VERB
ejpam-3998	1	7	mathematics	mathematic	NOUN
ejpam-3998	1	8	vol	vol	NOUN
ejpam-3998	1	9	.	.	PUNCT
ejpam-3998	2	1	14	14	NUM
ejpam-3998	2	2	,	,	PUNCT
ejpam-3998	2	3	no	no	INTJ
ejpam-3998	2	4	.	.	NOUN
ejpam-3998	2	5	3	3	NUM
ejpam-3998	2	6	,	,	PUNCT
ejpam-3998	2	7	2021	2021	NUM
ejpam-3998	2	8	,	,	PUNCT
ejpam-3998	2	9	638	638	NUM
ejpam-3998	2	10	-	-	SYM
ejpam-3998	2	11	649	649	NUM
ejpam-3998	2	12	issn	issn	PROPN
ejpam-3998	2	13	1307	1307	NUM
ejpam-3998	2	14	-	-	SYM
ejpam-3998	2	15	5543	5543	NUM
ejpam-3998	2	16	–	–	PUNCT
ejpam-3998	2	17	ejpam.com	ejpam.com	X
ejpam-3998	2	18	published	publish	VERB
ejpam-3998	2	19	by	by	ADP
ejpam-3998	2	20	new	new	PROPN
ejpam-3998	2	21	york	york	PROPN
ejpam-3998	2	22	business	business	PROPN
ejpam-3998	2	23	global	global	ADJ
ejpam-3998	2	24	stable	stable	ADJ
ejpam-3998	2	25	locating	locating	NOUN
ejpam-3998	2	26	-	-	PUNCT
ejpam-3998	2	27	dominating	dominating	NOUN
ejpam-3998	2	28	sets	set	NOUN
ejpam-3998	2	29	in	in	ADP
ejpam-3998	2	30	graphs	graph	NOUN
ejpam-3998	2	31	eman	eman	PROPN
ejpam-3998	2	32	c.	c.	PROPN
ejpam-3998	2	33	ahmad1,∗	ahmad1,∗	PROPN
ejpam-3998	2	34	,	,	PUNCT
ejpam-3998	2	35	gina	gina	PROPN
ejpam-3998	2	36	a.	a.	PROPN
ejpam-3998	2	37	malacas1	malacas1	PROPN
ejpam-3998	2	38	,	,	PUNCT
ejpam-3998	2	39	sergio	sergio	PROPN
ejpam-3998	2	40	r.	r.	PROPN
ejpam-3998	2	41	canoy	canoy	PROPN
ejpam-3998	2	42	,	,	PUNCT
ejpam-3998	2	43	jr.1	jr.1	PROPN
ejpam-3998	2	44	1	1	NUM
ejpam-3998	2	45	department	department	NOUN
ejpam-3998	2	46	of	of	ADP
ejpam-3998	2	47	mathematics	mathematic	NOUN
ejpam-3998	2	48	and	and	CCONJ
ejpam-3998	2	49	statistics	statistic	NOUN
ejpam-3998	2	50	,	,	PUNCT
ejpam-3998	2	51	college	college	NOUN
ejpam-3998	2	52	of	of	ADP
ejpam-3998	2	53	science	science	NOUN
ejpam-3998	2	54	and	and	CCONJ
ejpam-3998	2	55	mathematics	mathematic	NOUN
ejpam-3998	2	56	,	,	PUNCT
ejpam-3998	2	57	center	center	NOUN
ejpam-3998	2	58	for	for	ADP
ejpam-3998	2	59	graph	graph	NOUN
ejpam-3998	2	60	theory	theory	NOUN
ejpam-3998	2	61	,	,	PUNCT
ejpam-3998	2	62	algebra	algebra	NOUN
ejpam-3998	2	63	and	and	CCONJ
ejpam-3998	2	64	analysis	analysis	NOUN
ejpam-3998	2	65	-	-	PUNCT
ejpam-3998	2	66	prism	prism	NOUN
ejpam-3998	2	67	,	,	PUNCT
ejpam-3998	2	68	msu	msu	PROPN
ejpam-3998	2	69	-	-	PUNCT
ejpam-3998	2	70	iligan	iligan	PROPN
ejpam-3998	2	71	institute	institute	PROPN
ejpam-3998	2	72	of	of	ADP
ejpam-3998	2	73	technology	technology	PROPN
ejpam-3998	2	74	,	,	PUNCT
ejpam-3998	2	75	9200	9200	NUM
ejpam-3998	2	76	iligan	iligan	ADJ
ejpam-3998	2	77	city	city	NOUN
ejpam-3998	2	78	,	,	PUNCT
ejpam-3998	2	79	philippines	philippine	NOUN
ejpam-3998	2	80	abstract	abstract	ADJ
ejpam-3998	2	81	.	.	PUNCT
ejpam-3998	3	1	a	a	DET
ejpam-3998	3	2	set	set	NOUN
ejpam-3998	3	3	s	s	NOUN
ejpam-3998	3	4	⊆	⊆	NUM
ejpam-3998	3	5	v	v	NOUN
ejpam-3998	3	6	(	(	PUNCT
ejpam-3998	3	7	g	g	NOUN
ejpam-3998	3	8	)	)	PUNCT
ejpam-3998	3	9	of	of	ADP
ejpam-3998	3	10	a	a	DET
ejpam-3998	3	11	(	(	PUNCT
ejpam-3998	3	12	simple	simple	ADJ
ejpam-3998	3	13	)	)	PUNCT
ejpam-3998	3	14	undirected	undirected	ADJ
ejpam-3998	3	15	graph	graph	NOUN
ejpam-3998	3	16	g	g	PROPN
ejpam-3998	3	17	is	be	AUX
ejpam-3998	3	18	a	a	DET
ejpam-3998	3	19	locating	locate	VERB
ejpam-3998	3	20	-	-	PUNCT
ejpam-3998	3	21	dominating	dominate	VERB
ejpam-3998	3	22	set	set	NOUN
ejpam-3998	3	23	of	of	ADP
ejpam-3998	3	24	g	g	PROPN
ejpam-3998	3	25	if	if	SCONJ
ejpam-3998	3	26	for	for	ADP
ejpam-3998	3	27	each	each	PRON
ejpam-3998	3	28	v	v	NUM
ejpam-3998	3	29	∈	∈	PROPN
ejpam-3998	3	30	v	v	NOUN
ejpam-3998	3	31	(	(	PUNCT
ejpam-3998	3	32	g	g	NOUN
ejpam-3998	3	33	)	)	PUNCT
ejpam-3998	3	34	\	\	PROPN
ejpam-3998	4	1	s	s	X
ejpam-3998	4	2	,	,	PUNCT
ejpam-3998	4	3	there	there	PRON
ejpam-3998	4	4	exists	exist	VERB
ejpam-3998	4	5	w	w	PROPN
ejpam-3998	4	6	∈	∈	PROPN
ejpam-3998	4	7	s	s	PART
ejpam-3998	4	8	such	such	ADJ
ejpam-3998	4	9	tha	tha	NOUN
ejpam-3998	4	10	vw	vw	PROPN
ejpam-3998	4	11	∈	∈	PROPN
ejpam-3998	4	12	e(g	e(g	PROPN
ejpam-3998	4	13	)	)	PUNCT
ejpam-3998	4	14	and	and	CCONJ
ejpam-3998	4	15	ng(x	ng(x	NUM
ejpam-3998	4	16	)	)	PUNCT
ejpam-3998	4	17	∩	∩	PROPN
ejpam-3998	4	18	s	s	PART
ejpam-3998	4	19	6=	6=	NUM
ejpam-3998	4	20	ng(y	ng(y	NOUN
ejpam-3998	4	21	)	)	PUNCT
ejpam-3998	4	22	∩	∩	NOUN
ejpam-3998	4	23	s	s	PART
ejpam-3998	4	24	for	for	ADP
ejpam-3998	4	25	any	any	DET
ejpam-3998	4	26	distinct	distinct	ADJ
ejpam-3998	4	27	vertices	vertex	NOUN
ejpam-3998	4	28	x	x	PUNCT
ejpam-3998	4	29	and	and	CCONJ
ejpam-3998	4	30	y	y	PROPN
ejpam-3998	4	31	in	in	ADP
ejpam-3998	4	32	v	v	NUM
ejpam-3998	4	33	(	(	PUNCT
ejpam-3998	4	34	g	g	NOUN
ejpam-3998	4	35	)	)	PUNCT
ejpam-3998	4	36	\	\	PUNCT
ejpam-3998	5	1	s.	s.	PROPN
ejpam-3998	5	2	s	s	PART
ejpam-3998	5	3	is	be	AUX
ejpam-3998	5	4	a	a	DET
ejpam-3998	5	5	stable	stable	ADJ
ejpam-3998	5	6	locating	locating	NOUN
ejpam-3998	5	7	-	-	PUNCT
ejpam-3998	5	8	dominating	dominate	VERB
ejpam-3998	5	9	set	set	NOUN
ejpam-3998	5	10	of	of	ADP
ejpam-3998	5	11	g	g	PROPN
ejpam-3998	5	12	if	if	SCONJ
ejpam-3998	5	13	it	it	PRON
ejpam-3998	5	14	is	be	AUX
ejpam-3998	5	15	a	a	DET
ejpam-3998	5	16	locating	locate	VERB
ejpam-3998	5	17	-	-	PUNCT
ejpam-3998	5	18	dominating	dominate	VERB
ejpam-3998	5	19	set	set	NOUN
ejpam-3998	5	20	of	of	ADP
ejpam-3998	5	21	g	g	PROPN
ejpam-3998	5	22	and	and	CCONJ
ejpam-3998	5	23	s	s	PRON
ejpam-3998	5	24	\	\	X
ejpam-3998	5	25	{	{	PUNCT
ejpam-3998	5	26	v	v	NOUN
ejpam-3998	5	27	}	}	PUNCT
ejpam-3998	5	28	is	be	AUX
ejpam-3998	5	29	a	a	DET
ejpam-3998	5	30	locating	locate	VERB
ejpam-3998	5	31	-	-	PUNCT
ejpam-3998	5	32	dominating	dominate	VERB
ejpam-3998	5	33	set	set	NOUN
ejpam-3998	5	34	of	of	ADP
ejpam-3998	5	35	g	g	PROPN
ejpam-3998	5	36	for	for	ADP
ejpam-3998	5	37	each	each	DET
ejpam-3998	5	38	v	v	NOUN
ejpam-3998	5	39	∈	∈	PROPN
ejpam-3998	5	40	s.	s.	PROPN
ejpam-3998	5	41	the	the	DET
ejpam-3998	5	42	minimum	minimum	ADJ
ejpam-3998	5	43	cardinality	cardinality	NOUN
ejpam-3998	5	44	of	of	ADP
ejpam-3998	5	45	a	a	DET
ejpam-3998	5	46	stable	stable	ADJ
ejpam-3998	5	47	locating	locating	NOUN
ejpam-3998	5	48	-	-	PUNCT
ejpam-3998	5	49	dominating	dominate	VERB
ejpam-3998	5	50	set	set	NOUN
ejpam-3998	5	51	of	of	ADP
ejpam-3998	5	52	g	g	NOUN
ejpam-3998	5	53	,	,	PUNCT
ejpam-3998	5	54	denoted	denote	VERB
ejpam-3998	5	55	by	by	ADP
ejpam-3998	5	56	γsl	γsl	PROPN
ejpam-3998	5	57	(	(	PUNCT
ejpam-3998	5	58	g	g	NOUN
ejpam-3998	5	59	)	)	PUNCT
ejpam-3998	5	60	,	,	PUNCT
ejpam-3998	5	61	is	be	AUX
ejpam-3998	5	62	called	call	VERB
ejpam-3998	5	63	the	the	DET
ejpam-3998	5	64	stable	stable	ADJ
ejpam-3998	5	65	locating	locating	NOUN
ejpam-3998	5	66	-	-	PUNCT
ejpam-3998	5	67	domination	domination	NOUN
ejpam-3998	5	68	number	number	NOUN
ejpam-3998	5	69	of	of	ADP
ejpam-3998	5	70	g.	g.	PROPN
ejpam-3998	5	71	in	in	ADP
ejpam-3998	5	72	this	this	DET
ejpam-3998	5	73	paper	paper	NOUN
ejpam-3998	5	74	,	,	PUNCT
ejpam-3998	5	75	we	we	PRON
ejpam-3998	5	76	investigate	investigate	VERB
ejpam-3998	5	77	this	this	DET
ejpam-3998	5	78	concept	concept	NOUN
ejpam-3998	5	79	and	and	CCONJ
ejpam-3998	5	80	the	the	DET
ejpam-3998	5	81	corresponding	corresponding	ADJ
ejpam-3998	5	82	parameter	parameter	NOUN
ejpam-3998	5	83	for	for	ADP
ejpam-3998	5	84	some	some	DET
ejpam-3998	5	85	graphs	graph	NOUN
ejpam-3998	5	86	.	.	PUNCT
ejpam-3998	6	1	further	far	ADV
ejpam-3998	6	2	,	,	PUNCT
ejpam-3998	6	3	we	we	PRON
ejpam-3998	6	4	introduce	introduce	VERB
ejpam-3998	6	5	other	other	ADJ
ejpam-3998	6	6	related	related	ADJ
ejpam-3998	6	7	concepts	concept	NOUN
ejpam-3998	6	8	and	and	CCONJ
ejpam-3998	6	9	use	use	VERB
ejpam-3998	6	10	them	they	PRON
ejpam-3998	6	11	to	to	PART
ejpam-3998	6	12	characterize	characterize	VERB
ejpam-3998	6	13	the	the	DET
ejpam-3998	6	14	stable	stable	ADJ
ejpam-3998	6	15	locating	locating	NOUN
ejpam-3998	6	16	-	-	PUNCT
ejpam-3998	6	17	dominating	dominating	NOUN
ejpam-3998	6	18	sets	set	NOUN
ejpam-3998	6	19	in	in	ADP
ejpam-3998	6	20	some	some	DET
ejpam-3998	6	21	graphs	graph	NOUN
ejpam-3998	6	22	.	.	PUNCT
ejpam-3998	7	1	2020	2020	NUM
ejpam-3998	7	2	mathematics	mathematic	NOUN
ejpam-3998	7	3	subject	subject	NOUN
ejpam-3998	7	4	classifications	classification	NOUN
ejpam-3998	7	5	:	:	PUNCT
ejpam-3998	7	6	05c69	05c69	X
ejpam-3998	7	7	key	key	ADJ
ejpam-3998	7	8	words	word	NOUN
ejpam-3998	7	9	and	and	CCONJ
ejpam-3998	7	10	phrases	phrase	NOUN
ejpam-3998	7	11	:	:	PUNCT
ejpam-3998	7	12	locating	locate	VERB
ejpam-3998	7	13	,	,	PUNCT
ejpam-3998	7	14	stable	stable	ADJ
ejpam-3998	7	15	,	,	PUNCT
ejpam-3998	7	16	domination	domination	NOUN
ejpam-3998	7	17	,	,	PUNCT
ejpam-3998	7	18	join	join	NOUN
ejpam-3998	7	19	,	,	PUNCT
ejpam-3998	7	20	corona	corona	PROPN
ejpam-3998	7	21	1	1	NUM
ejpam-3998	7	22	.	.	PUNCT
ejpam-3998	8	1	introduction	introduction	NOUN
ejpam-3998	8	2	the	the	DET
ejpam-3998	8	3	standard	standard	ADJ
ejpam-3998	8	4	concept	concept	NOUN
ejpam-3998	8	5	of	of	ADP
ejpam-3998	8	6	domination	domination	NOUN
ejpam-3998	8	7	in	in	ADP
ejpam-3998	8	8	a	a	DET
ejpam-3998	8	9	graph	graph	NOUN
ejpam-3998	8	10	has	have	AUX
ejpam-3998	8	11	been	be	AUX
ejpam-3998	8	12	continuously	continuously	ADV
ejpam-3998	8	13	modified	modify	VERB
ejpam-3998	8	14	to	to	PART
ejpam-3998	8	15	give	give	VERB
ejpam-3998	8	16	rise	rise	NOUN
ejpam-3998	8	17	to	to	ADP
ejpam-3998	8	18	new	new	ADJ
ejpam-3998	8	19	domination	domination	NOUN
ejpam-3998	8	20	parameters	parameter	NOUN
ejpam-3998	8	21	.	.	PUNCT
ejpam-3998	9	1	indeed	indeed	ADV
ejpam-3998	9	2	,	,	PUNCT
ejpam-3998	9	3	a	a	DET
ejpam-3998	9	4	lot	lot	NOUN
ejpam-3998	9	5	of	of	ADP
ejpam-3998	9	6	variations	variation	NOUN
ejpam-3998	9	7	of	of	ADP
ejpam-3998	9	8	domination	domination	NOUN
ejpam-3998	9	9	have	have	AUX
ejpam-3998	9	10	been	be	AUX
ejpam-3998	9	11	introduced	introduce	VERB
ejpam-3998	9	12	and	and	CCONJ
ejpam-3998	9	13	studied	study	VERB
ejpam-3998	9	14	at	at	ADP
ejpam-3998	9	15	different	different	ADJ
ejpam-3998	9	16	angles	angle	NOUN
ejpam-3998	9	17	and	and	CCONJ
ejpam-3998	9	18	in	in	ADP
ejpam-3998	9	19	many	many	ADJ
ejpam-3998	9	20	ways	way	NOUN
ejpam-3998	9	21	.	.	PUNCT
ejpam-3998	10	1	one	one	NUM
ejpam-3998	10	2	variation	variation	NOUN
ejpam-3998	10	3	of	of	ADP
ejpam-3998	10	4	domination	domination	NOUN
ejpam-3998	10	5	which	which	PRON
ejpam-3998	10	6	finds	find	VERB
ejpam-3998	10	7	an	an	DET
ejpam-3998	10	8	interesting	interesting	ADJ
ejpam-3998	10	9	application	application	NOUN
ejpam-3998	10	10	in	in	ADP
ejpam-3998	10	11	the	the	DET
ejpam-3998	10	12	location	location	NOUN
ejpam-3998	10	13	-	-	PUNCT
ejpam-3998	10	14	determination	determination	NOUN
ejpam-3998	10	15	problem	problem	NOUN
ejpam-3998	10	16	of	of	ADP
ejpam-3998	10	17	monitoring	monitor	VERB
ejpam-3998	10	18	devices	device	NOUN
ejpam-3998	10	19	in	in	ADP
ejpam-3998	10	20	a	a	DET
ejpam-3998	10	21	system	system	NOUN
ejpam-3998	10	22	to	to	PART
ejpam-3998	10	23	ensure	ensure	VERB
ejpam-3998	10	24	its	its	PRON
ejpam-3998	10	25	safety	safety	NOUN
ejpam-3998	10	26	was	be	AUX
ejpam-3998	10	27	defined	define	VERB
ejpam-3998	10	28	and	and	CCONJ
ejpam-3998	10	29	studied	study	VERB
ejpam-3998	10	30	by	by	ADP
ejpam-3998	10	31	slater	slater	NOUN
ejpam-3998	10	32	in	in	ADP
ejpam-3998	10	33	[	[	X
ejpam-3998	10	34	6	6	NUM
ejpam-3998	10	35	]	]	PUNCT
ejpam-3998	10	36	and	and	CCONJ
ejpam-3998	10	37	[	[	X
ejpam-3998	10	38	7	7	NUM
ejpam-3998	10	39	]	]	PUNCT
ejpam-3998	10	40	.	.	PUNCT
ejpam-3998	11	1	this	this	DET
ejpam-3998	11	2	variant	variant	NOUN
ejpam-3998	11	3	is	be	AUX
ejpam-3998	11	4	called	call	VERB
ejpam-3998	11	5	locating	locating	NOUN
ejpam-3998	11	6	-	-	PUNCT
ejpam-3998	11	7	domination	domination	NOUN
ejpam-3998	11	8	,	,	PUNCT
ejpam-3998	11	9	a	a	DET
ejpam-3998	11	10	combination	combination	NOUN
ejpam-3998	11	11	of	of	ADP
ejpam-3998	11	12	the	the	DET
ejpam-3998	11	13	concepts	concept	NOUN
ejpam-3998	11	14	of	of	ADP
ejpam-3998	11	15	locating	locating	NOUN
ejpam-3998	11	16	and	and	CCONJ
ejpam-3998	11	17	domination	domination	NOUN
ejpam-3998	11	18	,	,	PUNCT
ejpam-3998	11	19	and	and	CCONJ
ejpam-3998	11	20	can	can	AUX
ejpam-3998	11	21	be	be	AUX
ejpam-3998	11	22	used	use	VERB
ejpam-3998	11	23	to	to	PART
ejpam-3998	11	24	model	model	VERB
ejpam-3998	11	25	a	a	DET
ejpam-3998	11	26	protection	protection	NOUN
ejpam-3998	11	27	strategy	strategy	NOUN
ejpam-3998	11	28	that	that	PRON
ejpam-3998	11	29	determines	determine	VERB
ejpam-3998	11	30	locations	location	NOUN
ejpam-3998	11	31	of	of	ADP
ejpam-3998	11	32	monitoring	monitor	VERB
ejpam-3998	11	33	devices	device	NOUN
ejpam-3998	11	34	(	(	PUNCT
ejpam-3998	11	35	e.g.	e.g.	ADV
ejpam-3998	11	36	fire	fire	NOUN
ejpam-3998	11	37	alarms	alarm	NOUN
ejpam-3998	11	38	or	or	CCONJ
ejpam-3998	11	39	surveilance	surveilance	NOUN
ejpam-3998	11	40	cameras	camera	NOUN
ejpam-3998	11	41	)	)	PUNCT
ejpam-3998	11	42	in	in	ADP
ejpam-3998	11	43	such	such	DET
ejpam-3998	11	44	a	a	DET
ejpam-3998	11	45	way	way	NOUN
ejpam-3998	11	46	that	that	PRON
ejpam-3998	11	47	the	the	DET
ejpam-3998	11	48	exact	exact	ADJ
ejpam-3998	11	49	location	location	NOUN
ejpam-3998	11	50	of	of	ADP
ejpam-3998	11	51	an	an	DET
ejpam-3998	11	52	intruder	intruder	NOUN
ejpam-3998	11	53	(	(	PUNCT
ejpam-3998	11	54	e.g.	e.g.	ADV
ejpam-3998	11	55	fire	fire	NOUN
ejpam-3998	11	56	,	,	PUNCT
ejpam-3998	11	57	burglar	burglar	NOUN
ejpam-3998	11	58	)	)	PUNCT
ejpam-3998	11	59	can	can	AUX
ejpam-3998	11	60	be	be	AUX
ejpam-3998	11	61	singled	single	VERB
ejpam-3998	11	62	out	out	ADP
ejpam-3998	11	63	when	when	SCONJ
ejpam-3998	11	64	a	a	DET
ejpam-3998	11	65	problem	problem	NOUN
ejpam-3998	11	66	(	(	PUNCT
ejpam-3998	11	67	presence	presence	NOUN
ejpam-3998	11	68	of	of	ADP
ejpam-3998	11	69	an	an	DET
ejpam-3998	11	70	intruder	intruder	NOUN
ejpam-3998	11	71	or	or	CCONJ
ejpam-3998	11	72	fire	fire	NOUN
ejpam-3998	11	73	)	)	PUNCT
ejpam-3998	11	74	at	at	ADP
ejpam-3998	11	75	a	a	DET
ejpam-3998	11	76	facility	facility	NOUN
ejpam-3998	11	77	or	or	CCONJ
ejpam-3998	11	78	system	system	NOUN
ejpam-3998	11	79	arises	arise	VERB
ejpam-3998	11	80	.	.	PUNCT
ejpam-3998	12	1	the	the	DET
ejpam-3998	12	2	papers	paper	NOUN
ejpam-3998	12	3	in	in	ADP
ejpam-3998	12	4	[	[	X
ejpam-3998	12	5	1	1	NUM
ejpam-3998	12	6	]	]	PUNCT
ejpam-3998	12	7	,	,	PUNCT
ejpam-3998	12	8	[	[	X
ejpam-3998	12	9	2	2	NUM
ejpam-3998	12	10	]	]	PUNCT
ejpam-3998	12	11	,	,	PUNCT
ejpam-3998	12	12	[	[	X
ejpam-3998	12	13	3	3	NUM
ejpam-3998	12	14	]	]	PUNCT
ejpam-3998	12	15	,	,	PUNCT
ejpam-3998	12	16	[	[	X
ejpam-3998	12	17	4	4	NUM
ejpam-3998	12	18	]	]	PUNCT
ejpam-3998	12	19	,	,	PUNCT
ejpam-3998	12	20	and	and	CCONJ
ejpam-3998	12	21	[	[	X
ejpam-3998	12	22	5	5	NUM
ejpam-3998	12	23	]	]	PUNCT
ejpam-3998	12	24	also	also	ADV
ejpam-3998	12	25	dealt	deal	VERB
ejpam-3998	12	26	with	with	ADP
ejpam-3998	12	27	the	the	DET
ejpam-3998	12	28	concept	concept	NOUN
ejpam-3998	12	29	of	of	ADP
ejpam-3998	12	30	locating	locate	VERB
ejpam-3998	12	31	-	-	PUNCT
ejpam-3998	12	32	domination	domination	NOUN
ejpam-3998	12	33	and	and	CCONJ
ejpam-3998	12	34	some	some	PRON
ejpam-3998	12	35	of	of	ADP
ejpam-3998	12	36	its	its	PRON
ejpam-3998	12	37	related	relate	VERB
ejpam-3998	12	38	concepts	concept	NOUN
ejpam-3998	12	39	.	.	PUNCT
ejpam-3998	13	1	∗corresponding	∗corresponde	VERB
ejpam-3998	13	2	author	author	NOUN
ejpam-3998	13	3	.	.	PUNCT
ejpam-3998	14	1	doi	doi	NOUN
ejpam-3998	14	2	:	:	PUNCT
ejpam-3998	14	3	https://doi.org/10.29020/nybg.ejpam.v14i3.3998	https://doi.org/10.29020/nybg.ejpam.v14i3.3998	PROPN
ejpam-3998	14	4	email	email	NOUN
ejpam-3998	14	5	addresses	address	NOUN
ejpam-3998	14	6	:	:	PUNCT
ejpam-3998	14	7	eman.ahmad@g.msuiit.edu.ph	eman.ahmad@g.msuiit.edu.ph	PROPN
ejpam-3998	14	8	(	(	PUNCT
ejpam-3998	14	9	e.	e.	PROPN
ejpam-3998	14	10	ahmad	ahmad	PROPN
ejpam-3998	14	11	)	)	PUNCT
ejpam-3998	14	12	,	,	PUNCT
ejpam-3998	14	13	gina.malacas@g.msuiit.edu.ph	gina.malacas@g.msuiit.edu.ph	PROPN
ejpam-3998	14	14	(	(	PUNCT
ejpam-3998	14	15	g.	g.	PROPN
ejpam-3998	14	16	malacas	malacas	PROPN
ejpam-3998	14	17	)	)	PUNCT
ejpam-3998	14	18	,	,	PUNCT
ejpam-3998	14	19	sergio.canoy@g.msuiit.edu.ph	sergio.canoy@g.msuiit.edu.ph	PROPN
ejpam-3998	14	20	(	(	PUNCT
ejpam-3998	14	21	s.	s.	PROPN
ejpam-3998	14	22	canoy	canoy	PROPN
ejpam-3998	14	23	,	,	PUNCT
ejpam-3998	14	24	jr	jr	PROPN
ejpam-3998	14	25	.	.	PUNCT
ejpam-3998	14	26	)	)	PUNCT
ejpam-3998	14	27	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3998	15	1	638	638	NUM
ejpam-3998	15	2	©	©	ADP
ejpam-3998	15	3	2021	2021	NUM
ejpam-3998	15	4	ejpam	ejpam	VERB
ejpam-3998	15	5	all	all	DET
ejpam-3998	15	6	rights	right	NOUN
ejpam-3998	15	7	reserved	reserve	VERB
ejpam-3998	15	8	.	.	PUNCT
ejpam-3998	16	1	e.	e.	PROPN
ejpam-3998	16	2	ahmad	ahmad	PROPN
ejpam-3998	16	3	,	,	PUNCT
ejpam-3998	16	4	g.	g.	PROPN
ejpam-3998	16	5	malacas	malacas	PROPN
ejpam-3998	16	6	,	,	PUNCT
ejpam-3998	16	7	s.	s.	PROPN
ejpam-3998	16	8	canoy	canoy	PROPN
ejpam-3998	16	9	,	,	PUNCT
ejpam-3998	16	10	jr	jr	PROPN
ejpam-3998	16	11	.	.	PROPN
ejpam-3998	16	12	/	/	SYM
ejpam-3998	16	13	eur	eur	PROPN
ejpam-3998	16	14	.	.	PUNCT
ejpam-3998	17	1	j.	j.	PROPN
ejpam-3998	17	2	pure	pure	PROPN
ejpam-3998	17	3	appl	appl	PROPN
ejpam-3998	17	4	.	.	PROPN
ejpam-3998	17	5	math	math	PROPN
ejpam-3998	17	6	,	,	PUNCT
ejpam-3998	17	7	14	14	NUM
ejpam-3998	17	8	(	(	PUNCT
ejpam-3998	17	9	3	3	NUM
ejpam-3998	17	10	)	)	PUNCT
ejpam-3998	17	11	(	(	PUNCT
ejpam-3998	17	12	2021	2021	NUM
ejpam-3998	17	13	)	)	PUNCT
ejpam-3998	17	14	,	,	PUNCT
ejpam-3998	17	15	638	638	NUM
ejpam-3998	17	16	-	-	SYM
ejpam-3998	17	17	649	649	NUM
ejpam-3998	17	18	639	639	NUM
ejpam-3998	17	19	in	in	ADP
ejpam-3998	17	20	a	a	DET
ejpam-3998	17	21	system	system	NOUN
ejpam-3998	17	22	where	where	SCONJ
ejpam-3998	17	23	monitoring	monitoring	NOUN
ejpam-3998	17	24	devices	device	NOUN
ejpam-3998	17	25	are	be	AUX
ejpam-3998	17	26	installed	instal	VERB
ejpam-3998	17	27	using	use	VERB
ejpam-3998	17	28	the	the	DET
ejpam-3998	17	29	concept	concept	NOUN
ejpam-3998	17	30	of	of	ADP
ejpam-3998	17	31	locatingdomination	locatingdomination	NOUN
ejpam-3998	17	32	,	,	PUNCT
ejpam-3998	17	33	an	an	DET
ejpam-3998	17	34	interesting	interesting	ADJ
ejpam-3998	17	35	issue	issue	NOUN
ejpam-3998	17	36	to	to	PART
ejpam-3998	17	37	consider	consider	VERB
ejpam-3998	17	38	is	be	AUX
ejpam-3998	17	39	when	when	SCONJ
ejpam-3998	17	40	,	,	PUNCT
ejpam-3998	17	41	at	at	ADP
ejpam-3998	17	42	a	a	DET
ejpam-3998	17	43	given	give	VERB
ejpam-3998	17	44	time	time	NOUN
ejpam-3998	17	45	,	,	PUNCT
ejpam-3998	17	46	exactly	exactly	ADV
ejpam-3998	17	47	one	one	NUM
ejpam-3998	17	48	device	device	NOUN
ejpam-3998	17	49	unexpectedly	unexpectedly	ADV
ejpam-3998	17	50	becomes	become	VERB
ejpam-3998	17	51	defective	defective	ADJ
ejpam-3998	17	52	or	or	CCONJ
ejpam-3998	17	53	non	non	ADJ
ejpam-3998	17	54	-	-	ADJ
ejpam-3998	17	55	functional	functional	ADJ
ejpam-3998	17	56	.	.	PUNCT
ejpam-3998	18	1	when	when	SCONJ
ejpam-3998	18	2	this	this	DET
ejpam-3998	18	3	situation	situation	NOUN
ejpam-3998	18	4	happens	happen	VERB
ejpam-3998	18	5	,	,	PUNCT
ejpam-3998	18	6	the	the	DET
ejpam-3998	18	7	remaining	remain	VERB
ejpam-3998	18	8	number	number	NOUN
ejpam-3998	18	9	of	of	ADP
ejpam-3998	18	10	devices	device	NOUN
ejpam-3998	18	11	may	may	AUX
ejpam-3998	18	12	not	not	PART
ejpam-3998	18	13	necessarily	necessarily	ADV
ejpam-3998	18	14	function	function	VERB
ejpam-3998	18	15	as	as	ADP
ejpam-3998	18	16	intended	intend	VERB
ejpam-3998	18	17	,	,	PUNCT
ejpam-3998	18	18	that	that	ADV
ejpam-3998	18	19	is	is	ADV
ejpam-3998	18	20	,	,	PUNCT
ejpam-3998	18	21	presence	presence	NOUN
ejpam-3998	18	22	of	of	ADP
ejpam-3998	18	23	an	an	DET
ejpam-3998	18	24	intruder	intruder	NOUN
ejpam-3998	18	25	at	at	ADP
ejpam-3998	18	26	a	a	DET
ejpam-3998	18	27	certain	certain	ADJ
ejpam-3998	18	28	location	location	NOUN
ejpam-3998	18	29	in	in	ADP
ejpam-3998	18	30	a	a	DET
ejpam-3998	18	31	system	system	NOUN
ejpam-3998	18	32	may	may	AUX
ejpam-3998	18	33	not	not	PART
ejpam-3998	18	34	be	be	AUX
ejpam-3998	18	35	precisely	precisely	ADV
ejpam-3998	18	36	detected	detect	VERB
ejpam-3998	18	37	or	or	CCONJ
ejpam-3998	18	38	identified	identify	VERB
ejpam-3998	18	39	.	.	PUNCT
ejpam-3998	19	1	to	to	PART
ejpam-3998	19	2	address	address	VERB
ejpam-3998	19	3	this	this	DET
ejpam-3998	19	4	specific	specific	ADJ
ejpam-3998	19	5	problem	problem	NOUN
ejpam-3998	19	6	,	,	PUNCT
ejpam-3998	19	7	an	an	DET
ejpam-3998	19	8	additional	additional	ADJ
ejpam-3998	19	9	condition	condition	NOUN
ejpam-3998	19	10	can	can	AUX
ejpam-3998	19	11	be	be	AUX
ejpam-3998	19	12	imposed	impose	VERB
ejpam-3998	19	13	to	to	ADP
ejpam-3998	19	14	the	the	DET
ejpam-3998	19	15	locating	locate	VERB
ejpam-3998	19	16	-	-	PUNCT
ejpam-3998	19	17	domination	domination	NOUN
ejpam-3998	19	18	concept	concept	NOUN
ejpam-3998	19	19	to	to	PART
ejpam-3998	19	20	ensure	ensure	VERB
ejpam-3998	19	21	stability	stability	NOUN
ejpam-3998	19	22	and	and	CCONJ
ejpam-3998	19	23	consistency	consistency	NOUN
ejpam-3998	19	24	of	of	ADP
ejpam-3998	19	25	the	the	DET
ejpam-3998	19	26	devices	device	NOUN
ejpam-3998	19	27	installed	instal	VERB
ejpam-3998	19	28	using	use	VERB
ejpam-3998	19	29	the	the	DET
ejpam-3998	19	30	modified	modify	VERB
ejpam-3998	19	31	concept	concept	NOUN
ejpam-3998	19	32	.	.	PUNCT
ejpam-3998	20	1	thus	thus	ADV
ejpam-3998	20	2	,	,	PUNCT
ejpam-3998	20	3	in	in	ADP
ejpam-3998	20	4	this	this	DET
ejpam-3998	20	5	paper	paper	NOUN
ejpam-3998	20	6	,	,	PUNCT
ejpam-3998	20	7	we	we	PRON
ejpam-3998	20	8	introduce	introduce	VERB
ejpam-3998	20	9	the	the	DET
ejpam-3998	20	10	concept	concept	NOUN
ejpam-3998	20	11	of	of	ADP
ejpam-3998	20	12	stable	stable	ADJ
ejpam-3998	20	13	locating	locating	NOUN
ejpam-3998	20	14	-	-	PUNCT
ejpam-3998	20	15	dominating	dominating	NOUN
ejpam-3998	20	16	set	set	NOUN
ejpam-3998	20	17	in	in	ADP
ejpam-3998	20	18	a	a	DET
ejpam-3998	20	19	graph	graph	NOUN
ejpam-3998	20	20	.	.	PUNCT
ejpam-3998	21	1	let	let	VERB
ejpam-3998	21	2	g	g	PROPN
ejpam-3998	21	3	=	=	SYM
ejpam-3998	21	4	(	(	PUNCT
ejpam-3998	21	5	v	v	NOUN
ejpam-3998	21	6	(	(	PUNCT
ejpam-3998	21	7	g	g	NOUN
ejpam-3998	21	8	)	)	PUNCT
ejpam-3998	21	9	,	,	PUNCT
ejpam-3998	21	10	e(g	e(g	PROPN
ejpam-3998	21	11	)	)	PUNCT
ejpam-3998	21	12	)	)	PUNCT
ejpam-3998	22	1	be	be	AUX
ejpam-3998	22	2	a	a	DET
ejpam-3998	22	3	simple	simple	ADJ
ejpam-3998	22	4	graph	graph	NOUN
ejpam-3998	22	5	.	.	PUNCT
ejpam-3998	23	1	the	the	DET
ejpam-3998	23	2	distance	distance	NOUN
ejpam-3998	23	3	between	between	ADP
ejpam-3998	23	4	two	two	NUM
ejpam-3998	23	5	vertices	vertex	NOUN
ejpam-3998	23	6	u	u	NOUN
ejpam-3998	23	7	and	and	CCONJ
ejpam-3998	23	8	v	v	NOUN
ejpam-3998	23	9	of	of	ADP
ejpam-3998	23	10	g	g	NOUN
ejpam-3998	23	11	,	,	PUNCT
ejpam-3998	23	12	denoted	denote	VERB
ejpam-3998	23	13	by	by	ADP
ejpam-3998	23	14	dg(u	dg(u	NOUN
ejpam-3998	23	15	,	,	PUNCT
ejpam-3998	23	16	v	v	NOUN
ejpam-3998	23	17	)	)	PUNCT
ejpam-3998	23	18	,	,	PUNCT
ejpam-3998	23	19	is	be	AUX
ejpam-3998	23	20	equal	equal	ADJ
ejpam-3998	23	21	to	to	ADP
ejpam-3998	23	22	the	the	DET
ejpam-3998	23	23	length	length	NOUN
ejpam-3998	23	24	of	of	ADP
ejpam-3998	23	25	a	a	DET
ejpam-3998	23	26	shortest	short	ADJ
ejpam-3998	23	27	path	path	NOUN
ejpam-3998	23	28	connecting	connect	VERB
ejpam-3998	23	29	u	u	NOUN
ejpam-3998	23	30	and	and	CCONJ
ejpam-3998	23	31	v.	v.	ADP
ejpam-3998	23	32	any	any	DET
ejpam-3998	23	33	path	path	NOUN
ejpam-3998	23	34	connecting	connect	VERB
ejpam-3998	23	35	u	u	NOUN
ejpam-3998	23	36	and	and	CCONJ
ejpam-3998	23	37	v	v	NOUN
ejpam-3998	23	38	of	of	ADP
ejpam-3998	23	39	length	length	NOUN
ejpam-3998	23	40	dg(u	dg(u	ADJ
ejpam-3998	23	41	,	,	PUNCT
ejpam-3998	23	42	v	v	NOUN
ejpam-3998	23	43	)	)	PUNCT
ejpam-3998	23	44	is	be	AUX
ejpam-3998	23	45	called	call	VERB
ejpam-3998	23	46	a	a	DET
ejpam-3998	23	47	u	u	NOUN
ejpam-3998	23	48	-	-	NOUN
ejpam-3998	23	49	v	v	ADJ
ejpam-3998	23	50	geodesic	geodesic	NOUN
ejpam-3998	23	51	.	.	PUNCT
ejpam-3998	24	1	the	the	DET
ejpam-3998	24	2	open	open	ADJ
ejpam-3998	24	3	neighbourhood	neighbourhood	NOUN
ejpam-3998	24	4	of	of	ADP
ejpam-3998	24	5	a	a	DET
ejpam-3998	24	6	vertex	vertex	NOUN
ejpam-3998	24	7	v	v	NOUN
ejpam-3998	24	8	of	of	ADP
ejpam-3998	24	9	g	g	PROPN
ejpam-3998	24	10	is	be	AUX
ejpam-3998	24	11	the	the	DET
ejpam-3998	24	12	set	set	NOUN
ejpam-3998	24	13	ng(v	ng(v	PUNCT
ejpam-3998	24	14	)	)	PUNCT
ejpam-3998	24	15	=	=	SYM
ejpam-3998	25	1	{	{	PUNCT
ejpam-3998	25	2	u	u	NOUN
ejpam-3998	25	3	∈	∈	PROPN
ejpam-3998	25	4	v	v	NOUN
ejpam-3998	25	5	(	(	PUNCT
ejpam-3998	25	6	g	g	NOUN
ejpam-3998	25	7	)	)	PUNCT
ejpam-3998	25	8	:	:	PUNCT
ejpam-3998	25	9	uv	uv	PROPN
ejpam-3998	25	10	∈	∈	PROPN
ejpam-3998	25	11	e(g	e(g	PROPN
ejpam-3998	25	12	)	)	PUNCT
ejpam-3998	25	13	}	}	PUNCT
ejpam-3998	25	14	and	and	CCONJ
ejpam-3998	25	15	its	its	PRON
ejpam-3998	25	16	closed	closed	ADJ
ejpam-3998	25	17	neighbourhood	neighbourhood	NOUN
ejpam-3998	25	18	is	be	AUX
ejpam-3998	25	19	the	the	DET
ejpam-3998	25	20	set	set	NOUN
ejpam-3998	25	21	ng[v	ng[v	NOUN
ejpam-3998	25	22	]	]	X
ejpam-3998	25	23	=	=	SYM
ejpam-3998	25	24	ng(v	ng(v	X
ejpam-3998	25	25	)	)	PUNCT
ejpam-3998	25	26	∪	∪	ADP
ejpam-3998	25	27	{	{	PUNCT
ejpam-3998	25	28	v	v	NOUN
ejpam-3998	25	29	}	}	PUNCT
ejpam-3998	25	30	.	.	PUNCT
ejpam-3998	26	1	the	the	DET
ejpam-3998	26	2	open	open	ADJ
ejpam-3998	26	3	neighbourhood	neighbourhood	NOUN
ejpam-3998	26	4	of	of	ADP
ejpam-3998	26	5	a	a	DET
ejpam-3998	26	6	subset	subset	NOUN
ejpam-3998	26	7	s	s	NOUN
ejpam-3998	26	8	of	of	ADP
ejpam-3998	26	9	v	v	NOUN
ejpam-3998	26	10	(	(	PUNCT
ejpam-3998	26	11	g	g	NOUN
ejpam-3998	26	12	)	)	PUNCT
ejpam-3998	26	13	is	be	AUX
ejpam-3998	26	14	the	the	DET
ejpam-3998	26	15	set	set	NOUN
ejpam-3998	26	16	ng(s	ng(s	NOUN
ejpam-3998	26	17	)	)	PUNCT
ejpam-3998	26	18	=	=	SYM
ejpam-3998	26	19	∪v∈sng(v	∪v∈sng(v	PROPN
ejpam-3998	26	20	)	)	PUNCT
ejpam-3998	26	21	and	and	CCONJ
ejpam-3998	26	22	its	its	PRON
ejpam-3998	26	23	closed	closed	ADJ
ejpam-3998	26	24	neighbourhood	neighbourhood	NOUN
ejpam-3998	26	25	is	be	AUX
ejpam-3998	26	26	the	the	DET
ejpam-3998	26	27	set	set	VERB
ejpam-3998	26	28	ng[s	ng[	NOUN
ejpam-3998	26	29	]	]	PUNCT
ejpam-3998	26	30	=	=	SYM
ejpam-3998	26	31	ng(s	ng(s	X
ejpam-3998	26	32	)	)	PUNCT
ejpam-3998	26	33	∪	∪	ADP
ejpam-3998	26	34	s.	s.	PROPN
ejpam-3998	26	35	the	the	DET
ejpam-3998	26	36	degree	degree	NOUN
ejpam-3998	26	37	of	of	ADP
ejpam-3998	26	38	v	v	NOUN
ejpam-3998	26	39	,	,	PUNCT
ejpam-3998	26	40	denoted	denote	VERB
ejpam-3998	26	41	by	by	ADP
ejpam-3998	26	42	degg(v	degg(v	PROPN
ejpam-3998	26	43	)	)	PUNCT
ejpam-3998	26	44	,	,	PUNCT
ejpam-3998	26	45	is	be	AUX
ejpam-3998	26	46	equal	equal	ADJ
ejpam-3998	26	47	to	to	ADP
ejpam-3998	26	48	|ng(v)|	|ng(v)|	NOUN
ejpam-3998	26	49	.	.	PUNCT
ejpam-3998	27	1	a	a	DET
ejpam-3998	27	2	vertex	vertex	NOUN
ejpam-3998	27	3	v	v	NOUN
ejpam-3998	27	4	of	of	ADP
ejpam-3998	27	5	g	g	PROPN
ejpam-3998	27	6	is	be	AUX
ejpam-3998	27	7	called	call	VERB
ejpam-3998	27	8	isolated	isolated	ADJ
ejpam-3998	27	9	if	if	SCONJ
ejpam-3998	27	10	degg(v	degg(v	VERB
ejpam-3998	27	11	)	)	PUNCT
ejpam-3998	27	12	=	=	SYM
ejpam-3998	28	1	0	0	X
ejpam-3998	28	2	.	.	PUNCT
ejpam-3998	29	1	vertex	vertex	NOUN
ejpam-3998	29	2	v	v	PROPN
ejpam-3998	29	3	is	be	AUX
ejpam-3998	29	4	a	a	DET
ejpam-3998	29	5	leaf	leaf	NOUN
ejpam-3998	29	6	if	if	SCONJ
ejpam-3998	29	7	degg(v	degg(v	VERB
ejpam-3998	29	8	)	)	PUNCT
ejpam-3998	29	9	=	=	SYM
ejpam-3998	29	10	1	1	NUM
ejpam-3998	29	11	and	and	CCONJ
ejpam-3998	29	12	the	the	DET
ejpam-3998	29	13	vertex	vertex	NOUN
ejpam-3998	29	14	u	u	NOUN
ejpam-3998	29	15	∈	∈	PROPN
ejpam-3998	29	16	v	v	ADP
ejpam-3998	29	17	(	(	PUNCT
ejpam-3998	29	18	g	g	NOUN
ejpam-3998	29	19	)	)	PUNCT
ejpam-3998	29	20	∩ng(v	∩ng(v	PROPN
ejpam-3998	29	21	)	)	PUNCT
ejpam-3998	29	22	is	be	AUX
ejpam-3998	29	23	called	call	VERB
ejpam-3998	29	24	a	a	DET
ejpam-3998	29	25	support	support	NOUN
ejpam-3998	29	26	vertex	vertex	NOUN
ejpam-3998	29	27	.	.	PUNCT
ejpam-3998	30	1	the	the	DET
ejpam-3998	30	2	minimum	minimum	NOUN
ejpam-3998	30	3	degree	degree	NOUN
ejpam-3998	30	4	of	of	ADP
ejpam-3998	30	5	g	g	PROPN
ejpam-3998	30	6	is	be	AUX
ejpam-3998	30	7	δ(g	δ(g	ADV
ejpam-3998	30	8	)	)	PUNCT
ejpam-3998	30	9	=	=	SYM
ejpam-3998	30	10	min{degg(v	min{degg(v	PROPN
ejpam-3998	30	11	)	)	PUNCT
ejpam-3998	30	12	:	:	PUNCT
ejpam-3998	30	13	v	v	X
ejpam-3998	30	14	∈	∈	PROPN
ejpam-3998	30	15	v	v	NOUN
ejpam-3998	30	16	(	(	PUNCT
ejpam-3998	30	17	g	g	NOUN
ejpam-3998	30	18	)	)	PUNCT
ejpam-3998	30	19	}	}	PUNCT
ejpam-3998	30	20	and	and	CCONJ
ejpam-3998	30	21	its	its	PRON
ejpam-3998	30	22	maximum	maximum	ADJ
ejpam-3998	30	23	degree	degree	NOUN
ejpam-3998	30	24	is	be	AUX
ejpam-3998	30	25	∆(g	∆(g	NOUN
ejpam-3998	30	26	)	)	PUNCT
ejpam-3998	30	27	=	=	PUNCT
ejpam-3998	30	28	max{degg(v	max{degg(v	NOUN
ejpam-3998	30	29	)	)	PUNCT
ejpam-3998	30	30	:	:	PUNCT
ejpam-3998	31	1	v	v	X
ejpam-3998	31	2	∈	∈	PROPN
ejpam-3998	31	3	v	v	NOUN
ejpam-3998	31	4	(	(	PUNCT
ejpam-3998	31	5	g	g	NOUN
ejpam-3998	31	6	)	)	PUNCT
ejpam-3998	31	7	}	}	PUNCT
ejpam-3998	31	8	.	.	PUNCT
ejpam-3998	32	1	a	a	DET
ejpam-3998	32	2	set	set	NOUN
ejpam-3998	32	3	s	s	NOUN
ejpam-3998	32	4	⊆	⊆	NUM
ejpam-3998	32	5	v	v	NOUN
ejpam-3998	32	6	(	(	PUNCT
ejpam-3998	32	7	g	g	NOUN
ejpam-3998	32	8	)	)	PUNCT
ejpam-3998	32	9	is	be	AUX
ejpam-3998	32	10	a	a	DET
ejpam-3998	32	11	dominating	dominating	NOUN
ejpam-3998	32	12	set	set	NOUN
ejpam-3998	32	13	(	(	PUNCT
ejpam-3998	32	14	resp	resp	NOUN
ejpam-3998	32	15	.	.	PUNCT
ejpam-3998	33	1	total	total	ADJ
ejpam-3998	33	2	dominating	dominating	NOUN
ejpam-3998	33	3	set	set	NOUN
ejpam-3998	33	4	)	)	PUNCT
ejpam-3998	33	5	of	of	ADP
ejpam-3998	33	6	g	g	PROPN
ejpam-3998	33	7	if	if	SCONJ
ejpam-3998	33	8	ng[s	ng[	NOUN
ejpam-3998	33	9	]	]	PUNCT
ejpam-3998	33	10	=	=	SYM
ejpam-3998	33	11	v	v	X
ejpam-3998	33	12	(	(	PUNCT
ejpam-3998	33	13	g	g	NOUN
ejpam-3998	33	14	)	)	PUNCT
ejpam-3998	33	15	(	(	PUNCT
ejpam-3998	33	16	resp	resp	NOUN
ejpam-3998	33	17	.	.	PUNCT
ejpam-3998	33	18	ng(s	ng(s	NUM
ejpam-3998	33	19	)	)	PUNCT
ejpam-3998	34	1	=	=	SYM
ejpam-3998	34	2	v	v	X
ejpam-3998	34	3	(	(	PUNCT
ejpam-3998	34	4	g	g	NOUN
ejpam-3998	34	5	)	)	PUNCT
ejpam-3998	34	6	)	)	PUNCT
ejpam-3998	34	7	.	.	PUNCT
ejpam-3998	35	1	the	the	DET
ejpam-3998	35	2	smallest	small	ADJ
ejpam-3998	35	3	cardinality	cardinality	NOUN
ejpam-3998	35	4	of	of	ADP
ejpam-3998	35	5	a	a	DET
ejpam-3998	35	6	dominating	dominating	NOUN
ejpam-3998	35	7	set	set	NOUN
ejpam-3998	35	8	of	of	ADP
ejpam-3998	35	9	g	g	NOUN
ejpam-3998	35	10	,	,	PUNCT
ejpam-3998	35	11	denoted	denote	VERB
ejpam-3998	35	12	by	by	ADP
ejpam-3998	35	13	γ(g	γ(g	PROPN
ejpam-3998	35	14	)	)	PUNCT
ejpam-3998	35	15	,	,	PUNCT
ejpam-3998	35	16	is	be	AUX
ejpam-3998	35	17	called	call	VERB
ejpam-3998	35	18	the	the	DET
ejpam-3998	35	19	domination	domination	NOUN
ejpam-3998	35	20	number	number	NOUN
ejpam-3998	35	21	of	of	ADP
ejpam-3998	35	22	g.	g.	PROPN
ejpam-3998	35	23	a	a	DET
ejpam-3998	35	24	dominating	dominating	NOUN
ejpam-3998	35	25	set	set	NOUN
ejpam-3998	35	26	of	of	ADP
ejpam-3998	35	27	g	g	PROPN
ejpam-3998	35	28	with	with	ADP
ejpam-3998	35	29	cardinality	cardinality	PROPN
ejpam-3998	35	30	γ(g	γ(g	PROPN
ejpam-3998	35	31	)	)	PUNCT
ejpam-3998	35	32	is	be	AUX
ejpam-3998	35	33	called	call	VERB
ejpam-3998	35	34	a	a	DET
ejpam-3998	35	35	γ	γ	NOUN
ejpam-3998	35	36	-	-	PUNCT
ejpam-3998	35	37	set	set	NOUN
ejpam-3998	35	38	of	of	ADP
ejpam-3998	35	39	g.	g.	PROPN
ejpam-3998	35	40	a	a	DET
ejpam-3998	35	41	subset	subset	NOUN
ejpam-3998	35	42	s	s	NOUN
ejpam-3998	35	43	of	of	ADP
ejpam-3998	35	44	g	g	PROPN
ejpam-3998	35	45	is	be	AUX
ejpam-3998	35	46	a	a	DET
ejpam-3998	35	47	locating	locating	NOUN
ejpam-3998	35	48	set	set	VERB
ejpam-3998	35	49	in	in	ADP
ejpam-3998	35	50	g	g	PROPN
ejpam-3998	35	51	if	if	SCONJ
ejpam-3998	35	52	ng(u)∩	ng(u)∩	PROPN
ejpam-3998	35	53	s	s	PROPN
ejpam-3998	35	54	6=	6=	NUM
ejpam-3998	35	55	ng(v)∩	ng(v)∩	ADP
ejpam-3998	35	56	s	s	PRON
ejpam-3998	35	57	for	for	ADP
ejpam-3998	35	58	every	every	DET
ejpam-3998	35	59	two	two	NUM
ejpam-3998	35	60	distinct	distinct	ADJ
ejpam-3998	35	61	vertices	vertex	NOUN
ejpam-3998	35	62	u	u	NOUN
ejpam-3998	35	63	and	and	CCONJ
ejpam-3998	35	64	v	v	NOUN
ejpam-3998	35	65	of	of	ADP
ejpam-3998	35	66	v	v	NOUN
ejpam-3998	35	67	(	(	PUNCT
ejpam-3998	35	68	g	g	NOUN
ejpam-3998	35	69	)	)	PUNCT
ejpam-3998	35	70	\	\	PUNCT
ejpam-3998	36	1	s.	s.	PROPN
ejpam-3998	36	2	set	set	VERB
ejpam-3998	36	3	s	s	PRON
ejpam-3998	36	4	is	be	AUX
ejpam-3998	36	5	said	say	VERB
ejpam-3998	36	6	to	to	PART
ejpam-3998	36	7	be	be	AUX
ejpam-3998	36	8	a	a	DET
ejpam-3998	36	9	strictly	strictly	ADV
ejpam-3998	36	10	locating	locate	VERB
ejpam-3998	36	11	set	set	VERB
ejpam-3998	36	12	if	if	SCONJ
ejpam-3998	36	13	it	it	PRON
ejpam-3998	36	14	is	be	AUX
ejpam-3998	36	15	a	a	DET
ejpam-3998	36	16	locating	locating	NOUN
ejpam-3998	36	17	set	set	VERB
ejpam-3998	36	18	and	and	CCONJ
ejpam-3998	36	19	ng(u	ng(u	NOUN
ejpam-3998	36	20	)	)	PUNCT
ejpam-3998	36	21	∩	∩	NOUN
ejpam-3998	36	22	s	s	PART
ejpam-3998	36	23	6=	6=	NUM
ejpam-3998	36	24	s	s	X
ejpam-3998	36	25	for	for	ADP
ejpam-3998	36	26	all	all	DET
ejpam-3998	36	27	u	u	NOUN
ejpam-3998	36	28	∈	∈	PROPN
ejpam-3998	36	29	v	v	NOUN
ejpam-3998	36	30	(	(	PUNCT
ejpam-3998	36	31	g	g	NOUN
ejpam-3998	36	32	)	)	PUNCT
ejpam-3998	36	33	\	\	PUNCT
ejpam-3998	37	1	s.	s.	PROPN
ejpam-3998	37	2	a	a	DET
ejpam-3998	37	3	locating	locating	NOUN
ejpam-3998	37	4	(	(	PUNCT
ejpam-3998	37	5	resp	resp	NOUN
ejpam-3998	37	6	.	.	PUNCT
ejpam-3998	38	1	strictly	strictly	ADV
ejpam-3998	38	2	locating	locate	VERB
ejpam-3998	38	3	)	)	PUNCT
ejpam-3998	38	4	subset	subset	NOUN
ejpam-3998	38	5	s	s	PROPN
ejpam-3998	38	6	of	of	ADP
ejpam-3998	38	7	v	v	NOUN
ejpam-3998	38	8	(	(	PUNCT
ejpam-3998	38	9	g	g	NOUN
ejpam-3998	38	10	)	)	PUNCT
ejpam-3998	38	11	which	which	PRON
ejpam-3998	38	12	is	be	AUX
ejpam-3998	38	13	also	also	ADV
ejpam-3998	38	14	a	a	DET
ejpam-3998	38	15	dominating	dominating	NOUN
ejpam-3998	38	16	set	set	NOUN
ejpam-3998	38	17	is	be	AUX
ejpam-3998	38	18	called	call	VERB
ejpam-3998	38	19	a	a	DET
ejpam-3998	38	20	locating	locate	VERB
ejpam-3998	38	21	-	-	PUNCT
ejpam-3998	38	22	dominating	dominate	VERB
ejpam-3998	38	23	(	(	PUNCT
ejpam-3998	38	24	resp	resp	NOUN
ejpam-3998	38	25	.	.	PUNCT
ejpam-3998	39	1	strictly	strictly	ADV
ejpam-3998	39	2	locating	locate	VERB
ejpam-3998	39	3	-	-	PUNCT
ejpam-3998	39	4	dominating	dominating	NOUN
ejpam-3998	39	5	set	set	NOUN
ejpam-3998	39	6	in	in	ADP
ejpam-3998	39	7	g.	g.	PROPN
ejpam-3998	39	8	the	the	DET
ejpam-3998	39	9	minimum	minimum	ADJ
ejpam-3998	39	10	cardinality	cardinality	NOUN
ejpam-3998	39	11	of	of	ADP
ejpam-3998	39	12	a	a	DET
ejpam-3998	39	13	locating	locate	VERB
ejpam-3998	39	14	-	-	PUNCT
ejpam-3998	39	15	dominating	dominate	VERB
ejpam-3998	39	16	(	(	PUNCT
ejpam-3998	39	17	resp	resp	NOUN
ejpam-3998	39	18	.	.	PUNCT
ejpam-3998	39	19	,	,	PUNCT
ejpam-3998	39	20	strictly	strictly	ADV
ejpam-3998	39	21	locating	locate	VERB
ejpam-3998	39	22	-	-	PUNCT
ejpam-3998	39	23	dominating	dominating	NOUN
ejpam-3998	39	24	)	)	PUNCT
ejpam-3998	39	25	set	set	VERB
ejpam-3998	39	26	in	in	ADP
ejpam-3998	39	27	g	g	NOUN
ejpam-3998	39	28	,	,	PUNCT
ejpam-3998	39	29	denoted	denote	VERB
ejpam-3998	39	30	by	by	ADP
ejpam-3998	39	31	γl(g	γl(g	NUM
ejpam-3998	39	32	)	)	PUNCT
ejpam-3998	39	33	(	(	PUNCT
ejpam-3998	39	34	resp	resp	NOUN
ejpam-3998	39	35	.	.	PUNCT
ejpam-3998	40	1	γsl(g	γsl(g	X
ejpam-3998	40	2	)	)	PUNCT
ejpam-3998	40	3	)	)	PUNCT
ejpam-3998	41	1	is	be	AUX
ejpam-3998	41	2	called	call	VERB
ejpam-3998	41	3	the	the	DET
ejpam-3998	41	4	locating	locating	NOUN
ejpam-3998	41	5	-	-	PUNCT
ejpam-3998	41	6	domination(resp	domination(resp	PROPN
ejpam-3998	41	7	.	.	PUNCT
ejpam-3998	42	1	strictly	strictly	ADV
ejpam-3998	42	2	locating	locate	VERB
ejpam-3998	42	3	-	-	PUNCT
ejpam-3998	42	4	domination	domination	NOUN
ejpam-3998	42	5	)	)	PUNCT
ejpam-3998	42	6	number	number	NOUN
ejpam-3998	42	7	of	of	ADP
ejpam-3998	42	8	g.	g.	PROPN
ejpam-3998	42	9	a	a	DET
ejpam-3998	42	10	locating	locate	VERB
ejpam-3998	42	11	set	set	NOUN
ejpam-3998	42	12	(	(	PUNCT
ejpam-3998	42	13	resp	resp	NOUN
ejpam-3998	42	14	.	.	PUNCT
ejpam-3998	43	1	strictly	strictly	ADV
ejpam-3998	43	2	locating	locate	VERB
ejpam-3998	43	3	set	set	NOUN
ejpam-3998	43	4	)	)	PUNCT
ejpam-3998	43	5	s	s	VERB
ejpam-3998	43	6	in	in	ADP
ejpam-3998	43	7	g	g	PROPN
ejpam-3998	43	8	is	be	AUX
ejpam-3998	43	9	a	a	DET
ejpam-3998	43	10	stable	stable	ADJ
ejpam-3998	43	11	locating	locating	NOUN
ejpam-3998	43	12	set	set	NOUN
ejpam-3998	43	13	(	(	PUNCT
ejpam-3998	43	14	resp	resp	NOUN
ejpam-3998	43	15	.	.	PUNCT
ejpam-3998	44	1	stable	stable	ADJ
ejpam-3998	44	2	strictly	strictly	ADV
ejpam-3998	44	3	locating	locate	VERB
ejpam-3998	44	4	set	set	NOUN
ejpam-3998	44	5	)	)	PUNCT
ejpam-3998	44	6	in	in	ADP
ejpam-3998	44	7	g	g	PROPN
ejpam-3998	44	8	if	if	SCONJ
ejpam-3998	44	9	sv	sv	PROPN
ejpam-3998	44	10	=	=	SYM
ejpam-3998	44	11	s	s	PART
ejpam-3998	44	12	\	\	X
ejpam-3998	44	13	{	{	PUNCT
ejpam-3998	44	14	v	v	NOUN
ejpam-3998	44	15	}	}	PUNCT
ejpam-3998	44	16	is	be	AUX
ejpam-3998	44	17	a	a	DET
ejpam-3998	44	18	locating	locate	VERB
ejpam-3998	44	19	set	set	NOUN
ejpam-3998	44	20	(	(	PUNCT
ejpam-3998	44	21	resp	resp	NOUN
ejpam-3998	44	22	.	.	PUNCT
ejpam-3998	45	1	strictly	strictly	ADV
ejpam-3998	45	2	locating	locate	VERB
ejpam-3998	45	3	set	set	NOUN
ejpam-3998	45	4	)	)	PUNCT
ejpam-3998	45	5	of	of	ADP
ejpam-3998	45	6	g	g	PROPN
ejpam-3998	45	7	for	for	ADP
ejpam-3998	45	8	each	each	DET
ejpam-3998	45	9	v	v	NOUN
ejpam-3998	45	10	∈	∈	PROPN
ejpam-3998	45	11	s.	s.	PROPN
ejpam-3998	45	12	a	a	DET
ejpam-3998	45	13	locating	locate	VERB
ejpam-3998	45	14	-	-	PUNCT
ejpam-3998	45	15	dominating	dominating	NOUN
ejpam-3998	45	16	(	(	PUNCT
ejpam-3998	45	17	strictly	strictly	ADV
ejpam-3998	45	18	locating	locate	VERB
ejpam-3998	45	19	dominating	dominating	NOUN
ejpam-3998	45	20	)	)	PUNCT
ejpam-3998	45	21	set	set	NOUN
ejpam-3998	45	22	s	s	PRON
ejpam-3998	45	23	of	of	ADP
ejpam-3998	45	24	g	g	PROPN
ejpam-3998	45	25	is	be	AUX
ejpam-3998	45	26	a	a	DET
ejpam-3998	45	27	stable	stable	ADJ
ejpam-3998	45	28	locating	locating	NOUN
ejpam-3998	45	29	-	-	PUNCT
ejpam-3998	45	30	dominating	dominating	NOUN
ejpam-3998	45	31	set	set	NOUN
ejpam-3998	45	32	(	(	PUNCT
ejpam-3998	45	33	resp	resp	NOUN
ejpam-3998	45	34	.	.	PUNCT
ejpam-3998	46	1	stable	stable	ADJ
ejpam-3998	46	2	strictly	strictly	ADV
ejpam-3998	46	3	locating	locate	VERB
ejpam-3998	46	4	-	-	PUNCT
ejpam-3998	46	5	dominating	dominate	VERB
ejpam-3998	46	6	set	set	NOUN
ejpam-3998	46	7	of	of	ADP
ejpam-3998	46	8	g	g	PROPN
ejpam-3998	46	9	if	if	SCONJ
ejpam-3998	46	10	sv	sv	PROPN
ejpam-3998	46	11	=	=	SYM
ejpam-3998	46	12	s	s	PART
ejpam-3998	46	13	\	\	X
ejpam-3998	46	14	{	{	PUNCT
ejpam-3998	46	15	v	v	NOUN
ejpam-3998	46	16	}	}	PUNCT
ejpam-3998	46	17	is	be	AUX
ejpam-3998	46	18	a	a	DET
ejpam-3998	46	19	locating	locate	VERB
ejpam-3998	46	20	-	-	PUNCT
ejpam-3998	46	21	dominating	dominating	NOUN
ejpam-3998	46	22	set	set	NOUN
ejpam-3998	46	23	(	(	PUNCT
ejpam-3998	46	24	resp	resp	NOUN
ejpam-3998	46	25	.	.	PUNCT
ejpam-3998	47	1	strictly	strictly	ADV
ejpam-3998	47	2	locating	locate	VERB
ejpam-3998	47	3	-	-	PUNCT
ejpam-3998	47	4	dominating	dominating	NOUN
ejpam-3998	47	5	set	set	NOUN
ejpam-3998	47	6	)	)	PUNCT
ejpam-3998	47	7	of	of	ADP
ejpam-3998	47	8	g	g	PROPN
ejpam-3998	47	9	for	for	ADP
ejpam-3998	47	10	each	each	DET
ejpam-3998	47	11	v	v	NOUN
ejpam-3998	47	12	∈	∈	PROPN
ejpam-3998	47	13	s.	s.	PROPN
ejpam-3998	47	14	the	the	DET
ejpam-3998	47	15	minimum	minimum	ADJ
ejpam-3998	47	16	cardinality	cardinality	NOUN
ejpam-3998	47	17	of	of	ADP
ejpam-3998	47	18	a	a	DET
ejpam-3998	47	19	stable	stable	ADJ
ejpam-3998	47	20	locating	locating	NOUN
ejpam-3998	47	21	dominating	dominating	NOUN
ejpam-3998	47	22	set	set	NOUN
ejpam-3998	47	23	(	(	PUNCT
ejpam-3998	47	24	resp	resp	NOUN
ejpam-3998	47	25	.	.	PUNCT
ejpam-3998	48	1	stable	stable	ADJ
ejpam-3998	48	2	strictly	strictly	ADV
ejpam-3998	48	3	locating	locate	VERB
ejpam-3998	48	4	-	-	PUNCT
ejpam-3998	48	5	dominating	dominating	NOUN
ejpam-3998	48	6	set	set	NOUN
ejpam-3998	48	7	)	)	PUNCT
ejpam-3998	48	8	of	of	ADP
ejpam-3998	48	9	g	g	NOUN
ejpam-3998	48	10	,	,	PUNCT
ejpam-3998	48	11	denoted	denote	VERB
ejpam-3998	48	12	by	by	ADP
ejpam-3998	48	13	γsl	γsl	PROPN
ejpam-3998	48	14	(	(	PUNCT
ejpam-3998	48	15	g	g	NOUN
ejpam-3998	48	16	)	)	PUNCT
ejpam-3998	48	17	(	(	PUNCT
ejpam-3998	48	18	resp	resp	NOUN
ejpam-3998	48	19	.	.	PUNCT
ejpam-3998	49	1	γssl(g	γssl(g	NOUN
ejpam-3998	49	2	)	)	PUNCT
ejpam-3998	49	3	)	)	PUNCT
ejpam-3998	49	4	,	,	PUNCT
ejpam-3998	49	5	is	be	AUX
ejpam-3998	49	6	called	call	VERB
ejpam-3998	49	7	the	the	DET
ejpam-3998	49	8	stable	stable	ADJ
ejpam-3998	49	9	locating	locating	NOUN
ejpam-3998	49	10	-	-	PUNCT
ejpam-3998	49	11	domination	domination	NOUN
ejpam-3998	49	12	(	(	PUNCT
ejpam-3998	49	13	resp	resp	NOUN
ejpam-3998	49	14	.	.	PUNCT
ejpam-3998	50	1	stable	stable	ADJ
ejpam-3998	50	2	strictly	strictly	ADV
ejpam-3998	50	3	locating	locate	VERB
ejpam-3998	50	4	-	-	PUNCT
ejpam-3998	50	5	domination	domination	NOUN
ejpam-3998	50	6	)	)	PUNCT
ejpam-3998	50	7	number	number	NOUN
ejpam-3998	50	8	of	of	ADP
ejpam-3998	50	9	g.	g.	PROPN
ejpam-3998	50	10	a	a	DET
ejpam-3998	50	11	stable	stable	ADJ
ejpam-3998	50	12	locating	locating	NOUN
ejpam-3998	50	13	-	-	PUNCT
ejpam-3998	50	14	dominating	dominating	NOUN
ejpam-3998	50	15	(	(	PUNCT
ejpam-3998	50	16	resp	resp	NOUN
ejpam-3998	50	17	.	.	PUNCT
ejpam-3998	51	1	stable	stable	ADJ
ejpam-3998	51	2	strictly	strictly	ADV
ejpam-3998	51	3	locating	locate	VERB
ejpam-3998	51	4	-	-	PUNCT
ejpam-3998	51	5	dominating	dominating	NOUN
ejpam-3998	51	6	)	)	PUNCT
ejpam-3998	51	7	set	set	NOUN
ejpam-3998	51	8	of	of	ADP
ejpam-3998	51	9	g	g	NOUN
ejpam-3998	51	10	with	with	ADP
ejpam-3998	51	11	cardinality	cardinality	NOUN
ejpam-3998	51	12	γsl	γsl	PROPN
ejpam-3998	51	13	(	(	PUNCT
ejpam-3998	51	14	g	g	NOUN
ejpam-3998	51	15	)	)	PUNCT
ejpam-3998	51	16	(	(	PUNCT
ejpam-3998	51	17	resp	resp	NOUN
ejpam-3998	51	18	.	.	PUNCT
ejpam-3998	52	1	γssl(g	γssl(g	NOUN
ejpam-3998	52	2	)	)	PUNCT
ejpam-3998	52	3	)	)	PUNCT
ejpam-3998	52	4	is	be	AUX
ejpam-3998	52	5	called	call	VERB
ejpam-3998	52	6	a	a	DET
ejpam-3998	52	7	γsl	γsl	NOUN
ejpam-3998	52	8	-set	-set	PUNCT
ejpam-3998	52	9	(	(	PUNCT
ejpam-3998	52	10	resp	resp	NOUN
ejpam-3998	52	11	.	.	PUNCT
ejpam-3998	53	1	γssl	γssl	PROPN
ejpam-3998	53	2	-	-	PUNCT
ejpam-3998	53	3	set	set	NOUN
ejpam-3998	53	4	)	)	PUNCT
ejpam-3998	53	5	of	of	ADP
ejpam-3998	53	6	g.	g.	PROPN
ejpam-3998	53	7	slater	slater	PROPN
ejpam-3998	53	8	in	in	ADP
ejpam-3998	53	9	[	[	X
ejpam-3998	53	10	8	8	NUM
ejpam-3998	53	11	]	]	PUNCT
ejpam-3998	53	12	introduced	introduce	VERB
ejpam-3998	53	13	and	and	CCONJ
ejpam-3998	53	14	studied	study	VERB
ejpam-3998	53	15	the	the	DET
ejpam-3998	53	16	concept	concept	NOUN
ejpam-3998	53	17	of	of	ADP
ejpam-3998	53	18	fault	fault	NOUN
ejpam-3998	53	19	-	-	PUNCT
ejpam-3998	53	20	tolerant	tolerant	ADJ
ejpam-3998	53	21	locating	locating	NOUN
ejpam-3998	53	22	-	-	PUNCT
ejpam-3998	53	23	dominating	dominating	NOUN
ejpam-3998	53	24	set	set	NOUN
ejpam-3998	53	25	.	.	PUNCT
ejpam-3998	54	1	he	he	PRON
ejpam-3998	54	2	showed	show	VERB
ejpam-3998	54	3	that	that	SCONJ
ejpam-3998	54	4	every	every	DET
ejpam-3998	54	5	fault	fault	NOUN
ejpam-3998	54	6	-	-	PUNCT
ejpam-3998	54	7	tolerant	tolerant	ADJ
ejpam-3998	54	8	locating	locating	NOUN
ejpam-3998	54	9	-	-	PUNCT
ejpam-3998	54	10	dominating	dominating	NOUN
ejpam-3998	54	11	set	set	NOUN
ejpam-3998	54	12	is	be	AUX
ejpam-3998	54	13	also	also	ADV
ejpam-3998	54	14	a	a	DET
ejpam-3998	54	15	stable	stable	ADJ
ejpam-3998	54	16	locating	locating	NOUN
ejpam-3998	54	17	-	-	PUNCT
ejpam-3998	54	18	dominating	dominating	NOUN
ejpam-3998	54	19	set	set	NOUN
ejpam-3998	54	20	.	.	PUNCT
ejpam-3998	55	1	e.	e.	PROPN
ejpam-3998	55	2	ahmad	ahmad	PROPN
ejpam-3998	55	3	,	,	PUNCT
ejpam-3998	55	4	g.	g.	PROPN
ejpam-3998	55	5	malacas	malacas	PROPN
ejpam-3998	55	6	,	,	PUNCT
ejpam-3998	55	7	s.	s.	PROPN
ejpam-3998	55	8	canoy	canoy	PROPN
ejpam-3998	55	9	,	,	PUNCT
ejpam-3998	55	10	jr	jr	PROPN
ejpam-3998	55	11	.	.	PROPN
ejpam-3998	55	12	/	/	SYM
ejpam-3998	55	13	eur	eur	PROPN
ejpam-3998	55	14	.	.	PUNCT
ejpam-3998	56	1	j.	j.	PROPN
ejpam-3998	56	2	pure	pure	PROPN
ejpam-3998	56	3	appl	appl	PROPN
ejpam-3998	56	4	.	.	PROPN
ejpam-3998	56	5	math	math	PROPN
ejpam-3998	56	6	,	,	PUNCT
ejpam-3998	56	7	14	14	NUM
ejpam-3998	56	8	(	(	PUNCT
ejpam-3998	56	9	3	3	NUM
ejpam-3998	56	10	)	)	PUNCT
ejpam-3998	56	11	(	(	PUNCT
ejpam-3998	56	12	2021	2021	NUM
ejpam-3998	56	13	)	)	PUNCT
ejpam-3998	56	14	,	,	PUNCT
ejpam-3998	56	15	638	638	NUM
ejpam-3998	56	16	-	-	SYM
ejpam-3998	56	17	649	649	NUM
ejpam-3998	56	18	640	640	NUM
ejpam-3998	56	19	2	2	NUM
ejpam-3998	56	20	.	.	PUNCT
ejpam-3998	56	21	results	result	NOUN
ejpam-3998	56	22	given	give	VERB
ejpam-3998	56	23	a	a	DET
ejpam-3998	56	24	graph	graph	NOUN
ejpam-3998	56	25	g	g	NOUN
ejpam-3998	56	26	,	,	PUNCT
ejpam-3998	56	27	we	we	PRON
ejpam-3998	56	28	denote	denote	VERB
ejpam-3998	56	29	by	by	ADP
ejpam-3998	56	30	l(g	l(g	PROPN
ejpam-3998	56	31	)	)	PUNCT
ejpam-3998	56	32	and	and	CCONJ
ejpam-3998	56	33	s(g	s(g	PROPN
ejpam-3998	56	34	)	)	PUNCT
ejpam-3998	56	35	the	the	DET
ejpam-3998	56	36	sets	set	NOUN
ejpam-3998	56	37	of	of	ADP
ejpam-3998	56	38	leaves	leave	NOUN
ejpam-3998	56	39	and	and	CCONJ
ejpam-3998	56	40	support	support	NOUN
ejpam-3998	56	41	vertices	vertex	NOUN
ejpam-3998	56	42	of	of	ADP
ejpam-3998	56	43	g	g	NOUN
ejpam-3998	56	44	,	,	PUNCT
ejpam-3998	56	45	respectively	respectively	ADV
ejpam-3998	56	46	.	.	PUNCT
ejpam-3998	57	1	proposition	proposition	NOUN
ejpam-3998	57	2	1	1	NUM
ejpam-3998	57	3	.	.	PUNCT
ejpam-3998	58	1	let	let	VERB
ejpam-3998	58	2	g	g	PRON
ejpam-3998	58	3	be	be	AUX
ejpam-3998	58	4	a	a	DET
ejpam-3998	58	5	non	non	ADJ
ejpam-3998	58	6	-	-	ADJ
ejpam-3998	58	7	trivial	trivial	ADJ
ejpam-3998	58	8	graph	graph	NOUN
ejpam-3998	58	9	.	.	PUNCT
ejpam-3998	59	1	then	then	ADV
ejpam-3998	59	2	g	g	PROPN
ejpam-3998	59	3	admits	admit	VERB
ejpam-3998	59	4	a	a	DET
ejpam-3998	59	5	stable	stable	ADJ
ejpam-3998	59	6	locating	locating	NOUN
ejpam-3998	59	7	-	-	PUNCT
ejpam-3998	59	8	dominating	dominating	NOUN
ejpam-3998	59	9	set	set	NOUN
ejpam-3998	59	10	if	if	SCONJ
ejpam-3998	59	11	and	and	CCONJ
ejpam-3998	59	12	only	only	ADV
ejpam-3998	59	13	if	if	SCONJ
ejpam-3998	59	14	g	g	PROPN
ejpam-3998	59	15	has	have	VERB
ejpam-3998	59	16	no	no	DET
ejpam-3998	59	17	isolated	isolated	ADJ
ejpam-3998	59	18	vertices	vertex	NOUN
ejpam-3998	59	19	.	.	PUNCT
ejpam-3998	60	1	if	if	SCONJ
ejpam-3998	60	2	g	g	PROPN
ejpam-3998	60	3	has	have	VERB
ejpam-3998	60	4	no	no	DET
ejpam-3998	60	5	isolated	isolated	ADJ
ejpam-3998	60	6	vertices	vertex	NOUN
ejpam-3998	60	7	,	,	PUNCT
ejpam-3998	60	8	then	then	ADV
ejpam-3998	60	9	2	2	NUM
ejpam-3998	60	10	≤	≤	NOUN
ejpam-3998	60	11	γsl	γsl	NOUN
ejpam-3998	60	12	(	(	PUNCT
ejpam-3998	60	13	g	g	NOUN
ejpam-3998	60	14	)	)	PUNCT
ejpam-3998	60	15	≤	≤	NOUN
ejpam-3998	60	16	|v	|v	X
ejpam-3998	60	17	(	(	PUNCT
ejpam-3998	60	18	g)|	g)|	PROPN
ejpam-3998	60	19	.	.	PUNCT
ejpam-3998	61	1	moreover	moreover	ADV
ejpam-3998	61	2	,	,	PUNCT
ejpam-3998	61	3	the	the	DET
ejpam-3998	61	4	following	follow	VERB
ejpam-3998	61	5	statements	statement	NOUN
ejpam-3998	61	6	hold	hold	VERB
ejpam-3998	61	7	:	:	PUNCT
ejpam-3998	61	8	(	(	PUNCT
ejpam-3998	61	9	i	i	NOUN
ejpam-3998	61	10	)	)	PUNCT
ejpam-3998	61	11	γsl	γsl	VERB
ejpam-3998	61	12	(	(	PUNCT
ejpam-3998	61	13	g	g	NOUN
ejpam-3998	61	14	)	)	PUNCT
ejpam-3998	61	15	=	=	SYM
ejpam-3998	61	16	2	2	NUM
ejpam-3998	61	17	if	if	SCONJ
ejpam-3998	61	18	and	and	CCONJ
ejpam-3998	61	19	only	only	ADV
ejpam-3998	61	20	if	if	SCONJ
ejpam-3998	61	21	g	g	PROPN
ejpam-3998	61	22	=	=	SYM
ejpam-3998	61	23	k2	k2	PROPN
ejpam-3998	61	24	.	.	PUNCT
ejpam-3998	62	1	(	(	PUNCT
ejpam-3998	62	2	ii	ii	NOUN
ejpam-3998	62	3	)	)	PUNCT
ejpam-3998	62	4	if	if	SCONJ
ejpam-3998	62	5	s	s	VERB
ejpam-3998	62	6	is	be	AUX
ejpam-3998	62	7	a	a	DET
ejpam-3998	62	8	stable	stable	ADJ
ejpam-3998	62	9	locating	locating	NOUN
ejpam-3998	62	10	-	-	PUNCT
ejpam-3998	62	11	dominating	dominate	VERB
ejpam-3998	62	12	set	set	NOUN
ejpam-3998	62	13	of	of	ADP
ejpam-3998	62	14	g	g	NOUN
ejpam-3998	62	15	,	,	PUNCT
ejpam-3998	62	16	then	then	ADV
ejpam-3998	62	17	l(g	l(g	PROPN
ejpam-3998	62	18	)	)	PUNCT
ejpam-3998	62	19	∪	∪	ADP
ejpam-3998	62	20	s(g	s(g	PROPN
ejpam-3998	62	21	)	)	PUNCT
ejpam-3998	62	22	⊆	⊆	NUM
ejpam-3998	62	23	s.	s.	PROPN
ejpam-3998	62	24	(	(	PUNCT
ejpam-3998	62	25	iii	iii	NOUN
ejpam-3998	62	26	)	)	PUNCT
ejpam-3998	62	27	γsl	γsl	NOUN
ejpam-3998	62	28	(	(	PUNCT
ejpam-3998	62	29	g	g	NOUN
ejpam-3998	62	30	)	)	PUNCT
ejpam-3998	62	31	=	=	SYM
ejpam-3998	62	32	|v	|v	PROPN
ejpam-3998	62	33	(	(	PUNCT
ejpam-3998	62	34	g)|	g)|	VERB
ejpam-3998	62	35	if	if	SCONJ
ejpam-3998	62	36	and	and	CCONJ
ejpam-3998	62	37	only	only	ADV
ejpam-3998	62	38	if	if	SCONJ
ejpam-3998	62	39	for	for	ADP
ejpam-3998	62	40	every	every	PRON
ejpam-3998	62	41	v	v	NUM
ejpam-3998	62	42	∈	∈	NOUN
ejpam-3998	62	43	v	v	NOUN
ejpam-3998	62	44	(	(	PUNCT
ejpam-3998	62	45	g	g	NOUN
ejpam-3998	62	46	)	)	PUNCT
ejpam-3998	62	47	,	,	PUNCT
ejpam-3998	62	48	v	v	ADP
ejpam-3998	62	49	∈	∈	PROPN
ejpam-3998	62	50	l(g	l(g	X
ejpam-3998	62	51	)	)	PUNCT
ejpam-3998	62	52	∪	∪	ADP
ejpam-3998	62	53	s(g	s(g	PROPN
ejpam-3998	62	54	)	)	PUNCT
ejpam-3998	62	55	or	or	CCONJ
ejpam-3998	62	56	there	there	PRON
ejpam-3998	62	57	exists	exist	VERB
ejpam-3998	62	58	w	w	PROPN
ejpam-3998	62	59	∈	∈	PROPN
ejpam-3998	62	60	v	v	ADP
ejpam-3998	62	61	(	(	PUNCT
ejpam-3998	62	62	g	g	NOUN
ejpam-3998	62	63	)	)	PUNCT
ejpam-3998	62	64	\	\	NOUN
ejpam-3998	62	65	{	{	PUNCT
ejpam-3998	62	66	v	v	NOUN
ejpam-3998	62	67	}	}	PUNCT
ejpam-3998	62	68	such	such	ADJ
ejpam-3998	62	69	that	that	SCONJ
ejpam-3998	62	70	ng(v	ng(v	PUNCT
ejpam-3998	62	71	)	)	PUNCT
ejpam-3998	62	72	=	=	NOUN
ejpam-3998	62	73	ng(w	ng(w	NOUN
ejpam-3998	62	74	)	)	PUNCT
ejpam-3998	62	75	.	.	PUNCT
ejpam-3998	63	1	proof	proof	NOUN
ejpam-3998	63	2	.	.	PUNCT
ejpam-3998	64	1	suppose	suppose	VERB
ejpam-3998	64	2	g	g	PROPN
ejpam-3998	64	3	has	have	VERB
ejpam-3998	64	4	no	no	DET
ejpam-3998	64	5	isolated	isolated	ADJ
ejpam-3998	64	6	vertices	vertex	NOUN
ejpam-3998	64	7	.	.	PUNCT
ejpam-3998	65	1	let	let	VERB
ejpam-3998	65	2	s	s	PRON
ejpam-3998	65	3	=	=	X
ejpam-3998	65	4	v	v	ADJ
ejpam-3998	65	5	(	(	PUNCT
ejpam-3998	65	6	g	g	NOUN
ejpam-3998	65	7	)	)	PUNCT
ejpam-3998	65	8	and	and	CCONJ
ejpam-3998	65	9	let	let	VERB
ejpam-3998	65	10	v	v	X
ejpam-3998	65	11	∈	∈	VERB
ejpam-3998	65	12	s.	s.	PROPN
ejpam-3998	65	13	clearly	clearly	ADV
ejpam-3998	65	14	,	,	PUNCT
ejpam-3998	65	15	s	s	VERB
ejpam-3998	65	16	\	\	X
ejpam-3998	65	17	{	{	PUNCT
ejpam-3998	65	18	v	v	NOUN
ejpam-3998	65	19	}	}	PUNCT
ejpam-3998	65	20	is	be	AUX
ejpam-3998	65	21	locating	locate	VERB
ejpam-3998	65	22	set	set	VERB
ejpam-3998	65	23	.	.	PUNCT
ejpam-3998	66	1	since	since	SCONJ
ejpam-3998	66	2	v	v	NOUN
ejpam-3998	66	3	is	be	AUX
ejpam-3998	66	4	not	not	PART
ejpam-3998	66	5	an	an	DET
ejpam-3998	66	6	isolated	isolated	ADJ
ejpam-3998	66	7	vertex	vertex	NOUN
ejpam-3998	66	8	,	,	PUNCT
ejpam-3998	66	9	there	there	PRON
ejpam-3998	66	10	exists	exist	VERB
ejpam-3998	66	11	u	u	PROPN
ejpam-3998	66	12	∈	∈	PROPN
ejpam-3998	66	13	s	s	PART
ejpam-3998	66	14	\	\	X
ejpam-3998	66	15	{	{	PUNCT
ejpam-3998	66	16	v	v	NOUN
ejpam-3998	66	17	}	}	PUNCT
ejpam-3998	66	18	such	such	ADJ
ejpam-3998	66	19	that	that	SCONJ
ejpam-3998	66	20	uv	uv	PROPN
ejpam-3998	66	21	∈	∈	PROPN
ejpam-3998	66	22	e(g	e(g	PROPN
ejpam-3998	66	23	)	)	PUNCT
ejpam-3998	66	24	.	.	PUNCT
ejpam-3998	67	1	hence	hence	ADV
ejpam-3998	67	2	,	,	PUNCT
ejpam-3998	67	3	s	s	VERB
ejpam-3998	67	4	is	be	AUX
ejpam-3998	67	5	a	a	DET
ejpam-3998	67	6	dominating	dominating	NOUN
ejpam-3998	67	7	set	set	NOUN
ejpam-3998	67	8	,	,	PUNCT
ejpam-3998	67	9	showing	show	VERB
ejpam-3998	67	10	that	that	SCONJ
ejpam-3998	67	11	s	s	VERB
ejpam-3998	67	12	is	be	AUX
ejpam-3998	67	13	a	a	DET
ejpam-3998	67	14	stable	stable	ADJ
ejpam-3998	67	15	locating	locating	NOUN
ejpam-3998	67	16	-	-	PUNCT
ejpam-3998	67	17	dominating	dominate	VERB
ejpam-3998	67	18	set	set	NOUN
ejpam-3998	67	19	of	of	ADP
ejpam-3998	67	20	g.	g.	PROPN
ejpam-3998	67	21	for	for	ADP
ejpam-3998	67	22	the	the	DET
ejpam-3998	67	23	converse	converse	NOUN
ejpam-3998	67	24	,	,	PUNCT
ejpam-3998	67	25	suppose	suppose	VERB
ejpam-3998	67	26	that	that	SCONJ
ejpam-3998	67	27	g	g	PROPN
ejpam-3998	67	28	admits	admit	VERB
ejpam-3998	67	29	a	a	DET
ejpam-3998	67	30	stable	stable	ADJ
ejpam-3998	67	31	locating	locating	NOUN
ejpam-3998	67	32	-	-	PUNCT
ejpam-3998	67	33	dominating	dominating	NOUN
ejpam-3998	67	34	set	set	NOUN
ejpam-3998	67	35	,	,	PUNCT
ejpam-3998	67	36	say	say	VERB
ejpam-3998	67	37	s′.	s′.	PROPN
ejpam-3998	67	38	suppose	suppose	VERB
ejpam-3998	67	39	further	far	ADV
ejpam-3998	67	40	that	that	SCONJ
ejpam-3998	67	41	g	g	PROPN
ejpam-3998	67	42	has	have	VERB
ejpam-3998	67	43	an	an	DET
ejpam-3998	67	44	isolated	isolated	ADJ
ejpam-3998	67	45	vertex	vertex	NOUN
ejpam-3998	67	46	,	,	PUNCT
ejpam-3998	67	47	say	say	VERB
ejpam-3998	67	48	z.	z.	PROPN
ejpam-3998	67	49	since	since	SCONJ
ejpam-3998	67	50	s′	s′	PROPN
ejpam-3998	67	51	is	be	AUX
ejpam-3998	67	52	a	a	DET
ejpam-3998	67	53	dominating	dominating	NOUN
ejpam-3998	67	54	set	set	NOUN
ejpam-3998	67	55	,	,	PUNCT
ejpam-3998	67	56	z	z	PROPN
ejpam-3998	67	57	∈	∈	PROPN
ejpam-3998	67	58	s′.	s′.	PROPN
ejpam-3998	67	59	this	this	PRON
ejpam-3998	67	60	implies	imply	VERB
ejpam-3998	67	61	that	that	SCONJ
ejpam-3998	67	62	s′	s′	ADJ
ejpam-3998	67	63	\	\	NOUN
ejpam-3998	67	64	{	{	PUNCT
ejpam-3998	67	65	z	z	NOUN
ejpam-3998	67	66	}	}	PUNCT
ejpam-3998	67	67	is	be	AUX
ejpam-3998	67	68	not	not	PART
ejpam-3998	67	69	a	a	DET
ejpam-3998	67	70	dominating	dominating	NOUN
ejpam-3998	67	71	set	set	NOUN
ejpam-3998	67	72	,	,	PUNCT
ejpam-3998	67	73	contrary	contrary	ADV
ejpam-3998	67	74	to	to	ADP
ejpam-3998	67	75	the	the	DET
ejpam-3998	67	76	assumption	assumption	NOUN
ejpam-3998	67	77	that	that	SCONJ
ejpam-3998	67	78	s	s	VERB
ejpam-3998	67	79	is	be	AUX
ejpam-3998	67	80	a	a	DET
ejpam-3998	67	81	stable	stable	ADJ
ejpam-3998	67	82	locating	locating	NOUN
ejpam-3998	67	83	-	-	PUNCT
ejpam-3998	67	84	dominating	dominate	VERB
ejpam-3998	67	85	set	set	NOUN
ejpam-3998	67	86	of	of	ADP
ejpam-3998	67	87	g.	g.	PROPN
ejpam-3998	67	88	therefore	therefore	ADV
ejpam-3998	67	89	,	,	PUNCT
ejpam-3998	67	90	g	g	PROPN
ejpam-3998	67	91	has	have	VERB
ejpam-3998	67	92	no	no	DET
ejpam-3998	67	93	isolated	isolated	ADJ
ejpam-3998	67	94	vertices	vertex	NOUN
ejpam-3998	67	95	.	.	PUNCT
ejpam-3998	68	1	next	next	ADV
ejpam-3998	68	2	,	,	PUNCT
ejpam-3998	68	3	suppose	suppose	VERB
ejpam-3998	68	4	that	that	SCONJ
ejpam-3998	68	5	g	g	PROPN
ejpam-3998	68	6	has	have	VERB
ejpam-3998	68	7	no	no	DET
ejpam-3998	68	8	isolated	isolated	ADJ
ejpam-3998	68	9	vertices	vertex	NOUN
ejpam-3998	68	10	.	.	PUNCT
ejpam-3998	69	1	let	let	VERB
ejpam-3998	69	2	s	s	PRON
ejpam-3998	69	3	be	be	AUX
ejpam-3998	69	4	a	a	DET
ejpam-3998	69	5	stable	stable	ADJ
ejpam-3998	69	6	locating	locating	NOUN
ejpam-3998	69	7	-	-	PUNCT
ejpam-3998	69	8	dominating	dominate	VERB
ejpam-3998	69	9	set	set	NOUN
ejpam-3998	69	10	of	of	ADP
ejpam-3998	69	11	g.	g.	PROPN
ejpam-3998	69	12	clearly	clearly	ADV
ejpam-3998	69	13	,	,	PUNCT
ejpam-3998	69	14	|s|	|s|	PROPN
ejpam-3998	69	15	≤	≤	NUM
ejpam-3998	69	16	|v	|v	X
ejpam-3998	69	17	(	(	PUNCT
ejpam-3998	69	18	g)|	g)|	PROPN
ejpam-3998	69	19	.	.	PUNCT
ejpam-3998	70	1	since	since	SCONJ
ejpam-3998	70	2	an	an	DET
ejpam-3998	70	3	empty	empty	ADJ
ejpam-3998	70	4	set	set	NOUN
ejpam-3998	70	5	is	be	AUX
ejpam-3998	70	6	not	not	PART
ejpam-3998	70	7	a	a	DET
ejpam-3998	70	8	dominating	dominating	NOUN
ejpam-3998	70	9	set	set	NOUN
ejpam-3998	70	10	,	,	PUNCT
ejpam-3998	70	11	|s|	|s|	X
ejpam-3998	70	12	≥	≥	NOUN
ejpam-3998	70	13	2	2	NUM
ejpam-3998	70	14	.	.	PUNCT
ejpam-3998	71	1	since	since	SCONJ
ejpam-3998	71	2	s	s	PRON
ejpam-3998	71	3	was	be	AUX
ejpam-3998	71	4	an	an	DET
ejpam-3998	71	5	arbitrary	arbitrary	ADJ
ejpam-3998	71	6	stable	stable	ADJ
ejpam-3998	71	7	locating	locating	NOUN
ejpam-3998	71	8	-	-	PUNCT
ejpam-3998	71	9	dominating	dominating	NOUN
ejpam-3998	71	10	set	set	NOUN
ejpam-3998	71	11	,	,	PUNCT
ejpam-3998	71	12	it	it	PRON
ejpam-3998	71	13	follows	follow	VERB
ejpam-3998	71	14	that	that	SCONJ
ejpam-3998	71	15	2	2	NUM
ejpam-3998	71	16	≤	≤	NUM
ejpam-3998	71	17	γsl	γsl	NOUN
ejpam-3998	71	18	(	(	PUNCT
ejpam-3998	71	19	g	g	NOUN
ejpam-3998	71	20	)	)	PUNCT
ejpam-3998	71	21	≤	≤	NOUN
ejpam-3998	71	22	|v	|v	X
ejpam-3998	71	23	(	(	PUNCT
ejpam-3998	71	24	g)|	g)|	NOUN
ejpam-3998	71	25	.	.	PUNCT
ejpam-3998	72	1	(	(	PUNCT
ejpam-3998	72	2	i	i	NOUN
ejpam-3998	72	3	)	)	PUNCT
ejpam-3998	72	4	clearly	clearly	ADV
ejpam-3998	72	5	,	,	PUNCT
ejpam-3998	72	6	γsl	γsl	VERB
ejpam-3998	72	7	(	(	PUNCT
ejpam-3998	72	8	k2	k2	NOUN
ejpam-3998	72	9	)	)	PUNCT
ejpam-3998	72	10	=	=	SYM
ejpam-3998	72	11	2	2	X
ejpam-3998	72	12	.	.	X
ejpam-3998	72	13	for	for	ADP
ejpam-3998	72	14	the	the	DET
ejpam-3998	72	15	converse	converse	NOUN
ejpam-3998	72	16	,	,	PUNCT
ejpam-3998	72	17	suppose	suppose	VERB
ejpam-3998	72	18	that	that	SCONJ
ejpam-3998	72	19	γsl	γsl	VERB
ejpam-3998	72	20	(	(	PUNCT
ejpam-3998	72	21	g	g	NOUN
ejpam-3998	72	22	)	)	PUNCT
ejpam-3998	72	23	=	=	SYM
ejpam-3998	72	24	2	2	NUM
ejpam-3998	72	25	,	,	PUNCT
ejpam-3998	72	26	say	say	VERB
ejpam-3998	72	27	s	s	X
ejpam-3998	72	28	=	=	PUNCT
ejpam-3998	72	29	{	{	PUNCT
ejpam-3998	72	30	x	x	PROPN
ejpam-3998	72	31	,	,	PUNCT
ejpam-3998	72	32	y	y	PRON
ejpam-3998	72	33	}	}	PUNCT
ejpam-3998	72	34	is	be	AUX
ejpam-3998	72	35	γsl	γsl	VERB
ejpam-3998	72	36	-set	-set	ADJ
ejpam-3998	72	37	of	of	ADP
ejpam-3998	72	38	g.	g.	PROPN
ejpam-3998	72	39	since	since	SCONJ
ejpam-3998	72	40	sx	sx	PROPN
ejpam-3998	72	41	=	=	PROPN
ejpam-3998	72	42	s	s	PART
ejpam-3998	72	43	\	\	X
ejpam-3998	72	44	{	{	PUNCT
ejpam-3998	72	45	x	x	NOUN
ejpam-3998	72	46	}	}	PUNCT
ejpam-3998	72	47	=	=	SYM
ejpam-3998	72	48	{	{	PUNCT
ejpam-3998	72	49	y	y	NOUN
ejpam-3998	72	50	}	}	PUNCT
ejpam-3998	72	51	is	be	AUX
ejpam-3998	72	52	a	a	DET
ejpam-3998	72	53	dominating	dominating	NOUN
ejpam-3998	72	54	set	set	NOUN
ejpam-3998	72	55	,	,	PUNCT
ejpam-3998	72	56	xy	xy	PROPN
ejpam-3998	72	57	∈	∈	PROPN
ejpam-3998	72	58	e(g	e(g	PROPN
ejpam-3998	72	59	)	)	PUNCT
ejpam-3998	72	60	.	.	PUNCT
ejpam-3998	73	1	suppose	suppose	VERB
ejpam-3998	73	2	there	there	PRON
ejpam-3998	73	3	exists	exist	VERB
ejpam-3998	73	4	z	z	PROPN
ejpam-3998	73	5	∈	∈	PROPN
ejpam-3998	73	6	v	v	ADP
ejpam-3998	73	7	(	(	PUNCT
ejpam-3998	73	8	g	g	NOUN
ejpam-3998	73	9	)	)	PUNCT
ejpam-3998	73	10	\	\	PUNCT
ejpam-3998	74	1	s.	s.	PROPN
ejpam-3998	74	2	then	then	ADV
ejpam-3998	74	3	ng(x	ng(x	NUM
ejpam-3998	74	4	)	)	PUNCT
ejpam-3998	74	5	∩	∩	NOUN
ejpam-3998	74	6	sx	sx	PROPN
ejpam-3998	74	7	=	=	SYM
ejpam-3998	74	8	{	{	PUNCT
ejpam-3998	74	9	y	y	NOUN
ejpam-3998	74	10	}	}	PUNCT
ejpam-3998	74	11	=	=	SYM
ejpam-3998	74	12	ng(z	ng(z	NUM
ejpam-3998	74	13	)	)	PUNCT
ejpam-3998	74	14	∩	∩	PROPN
ejpam-3998	74	15	sx	sx	PROPN
ejpam-3998	74	16	,	,	PUNCT
ejpam-3998	74	17	showing	show	VERB
ejpam-3998	74	18	that	that	SCONJ
ejpam-3998	74	19	sx	sx	PROPN
ejpam-3998	74	20	is	be	AUX
ejpam-3998	74	21	not	not	PART
ejpam-3998	74	22	a	a	DET
ejpam-3998	74	23	locating	locating	NOUN
ejpam-3998	74	24	set	set	NOUN
ejpam-3998	74	25	.	.	PUNCT
ejpam-3998	75	1	therefore	therefore	ADV
ejpam-3998	75	2	,	,	PUNCT
ejpam-3998	75	3	s	s	VERB
ejpam-3998	75	4	is	be	AUX
ejpam-3998	75	5	not	not	PART
ejpam-3998	75	6	a	a	DET
ejpam-3998	75	7	stable	stable	ADJ
ejpam-3998	75	8	locating	locating	NOUN
ejpam-3998	75	9	-	-	PUNCT
ejpam-3998	75	10	dominating	dominating	NOUN
ejpam-3998	75	11	set	set	NOUN
ejpam-3998	75	12	,	,	PUNCT
ejpam-3998	75	13	contrary	contrary	ADV
ejpam-3998	75	14	to	to	ADP
ejpam-3998	75	15	our	our	PRON
ejpam-3998	75	16	assumption	assumption	NOUN
ejpam-3998	75	17	that	that	SCONJ
ejpam-3998	75	18	s	s	VERB
ejpam-3998	75	19	is	be	AUX
ejpam-3998	75	20	γsl	γsl	VERB
ejpam-3998	75	21	-set	-set	ADJ
ejpam-3998	75	22	.	.	PUNCT
ejpam-3998	76	1	therefore	therefore	ADV
ejpam-3998	76	2	,	,	PUNCT
ejpam-3998	76	3	g	g	PROPN
ejpam-3998	76	4	=	=	SYM
ejpam-3998	76	5	k2	k2	PROPN
ejpam-3998	76	6	.	.	PUNCT
ejpam-3998	77	1	(	(	PUNCT
ejpam-3998	77	2	ii	ii	NOUN
ejpam-3998	77	3	)	)	PUNCT
ejpam-3998	77	4	let	let	VERB
ejpam-3998	77	5	s	s	PRON
ejpam-3998	77	6	be	be	AUX
ejpam-3998	77	7	a	a	DET
ejpam-3998	77	8	stable	stable	ADJ
ejpam-3998	77	9	locating	locating	NOUN
ejpam-3998	77	10	-	-	PUNCT
ejpam-3998	77	11	dominating	dominating	NOUN
ejpam-3998	77	12	set	set	NOUN
ejpam-3998	77	13	.	.	PUNCT
ejpam-3998	78	1	let	let	VERB
ejpam-3998	78	2	v	v	NUM
ejpam-3998	78	3	∈	∈	PROPN
ejpam-3998	78	4	l(g	l(g	NOUN
ejpam-3998	78	5	)	)	PUNCT
ejpam-3998	78	6	and	and	CCONJ
ejpam-3998	78	7	let	let	VERB
ejpam-3998	78	8	u	u	PRON
ejpam-3998	78	9	∈	∈	PROPN
ejpam-3998	78	10	ng(v	ng(v	PUNCT
ejpam-3998	78	11	)	)	PUNCT
ejpam-3998	78	12	.	.	PUNCT
ejpam-3998	79	1	suppose	suppose	VERB
ejpam-3998	79	2	v	v	X
ejpam-3998	79	3	/∈	/∈	PUNCT
ejpam-3998	79	4	s.	s.	PROPN
ejpam-3998	79	5	since	since	SCONJ
ejpam-3998	79	6	s	s	PROPN
ejpam-3998	79	7	is	be	AUX
ejpam-3998	79	8	a	a	DET
ejpam-3998	79	9	dominating	dominating	NOUN
ejpam-3998	79	10	set	set	NOUN
ejpam-3998	79	11	,	,	PUNCT
ejpam-3998	79	12	u	u	PROPN
ejpam-3998	79	13	∈	∈	PROPN
ejpam-3998	79	14	s.	s.	PROPN
ejpam-3998	79	15	this	this	PRON
ejpam-3998	79	16	,	,	PUNCT
ejpam-3998	79	17	however	however	ADV
ejpam-3998	79	18	,	,	PUNCT
ejpam-3998	79	19	would	would	AUX
ejpam-3998	79	20	mean	mean	VERB
ejpam-3998	79	21	that	that	PRON
ejpam-3998	79	22	su	su	PROPN
ejpam-3998	79	23	=	=	SYM
ejpam-3998	79	24	s	s	PART
ejpam-3998	79	25	\	\	X
ejpam-3998	79	26	{	{	PUNCT
ejpam-3998	79	27	u	u	NOUN
ejpam-3998	79	28	}	}	PUNCT
ejpam-3998	79	29	is	be	AUX
ejpam-3998	79	30	not	not	PART
ejpam-3998	79	31	a	a	DET
ejpam-3998	79	32	dominating	dominating	NOUN
ejpam-3998	79	33	set	set	NOUN
ejpam-3998	79	34	(	(	PUNCT
ejpam-3998	79	35	there	there	PRON
ejpam-3998	79	36	is	be	VERB
ejpam-3998	79	37	no	no	DET
ejpam-3998	79	38	vertex	vertex	NOUN
ejpam-3998	79	39	in	in	ADP
ejpam-3998	79	40	su	su	PROPN
ejpam-3998	79	41	that	that	PRON
ejpam-3998	79	42	dominates	dominate	VERB
ejpam-3998	79	43	v	v	NOUN
ejpam-3998	79	44	)	)	PUNCT
ejpam-3998	79	45	,	,	PUNCT
ejpam-3998	79	46	contrary	contrary	ADV
ejpam-3998	79	47	to	to	ADP
ejpam-3998	79	48	the	the	DET
ejpam-3998	79	49	assumption	assumption	NOUN
ejpam-3998	79	50	that	that	SCONJ
ejpam-3998	79	51	s	s	VERB
ejpam-3998	79	52	is	be	AUX
ejpam-3998	79	53	a	a	DET
ejpam-3998	79	54	stable	stable	ADJ
ejpam-3998	79	55	locating	locating	NOUN
ejpam-3998	79	56	-	-	PUNCT
ejpam-3998	79	57	dominating	dominate	VERB
ejpam-3998	79	58	set	set	NOUN
ejpam-3998	79	59	of	of	ADP
ejpam-3998	79	60	g.	g.	PROPN
ejpam-3998	79	61	thus	thus	ADV
ejpam-3998	79	62	,	,	PUNCT
ejpam-3998	79	63	v	v	PROPN
ejpam-3998	79	64	∈	∈	PROPN
ejpam-3998	79	65	s	s	PART
ejpam-3998	79	66	and	and	CCONJ
ejpam-3998	79	67	,	,	PUNCT
ejpam-3998	79	68	consequently	consequently	ADV
ejpam-3998	79	69	,	,	PUNCT
ejpam-3998	79	70	l(g	l(g	NOUN
ejpam-3998	79	71	)	)	PUNCT
ejpam-3998	79	72	⊆	⊆	NUM
ejpam-3998	79	73	s.	s.	PROPN
ejpam-3998	79	74	next	next	ADV
ejpam-3998	79	75	,	,	PUNCT
ejpam-3998	79	76	let	let	VERB
ejpam-3998	79	77	w	w	PROPN
ejpam-3998	79	78	∈	∈	PROPN
ejpam-3998	79	79	s(g	s(g	PROPN
ejpam-3998	79	80	)	)	PUNCT
ejpam-3998	79	81	and	and	CCONJ
ejpam-3998	79	82	let	let	VERB
ejpam-3998	79	83	z	z	NOUN
ejpam-3998	79	84	∈	∈	PROPN
ejpam-3998	79	85	l(g	l(g	PROPN
ejpam-3998	79	86	)	)	PUNCT
ejpam-3998	79	87	be	be	VERB
ejpam-3998	79	88	such	such	ADJ
ejpam-3998	79	89	that	that	SCONJ
ejpam-3998	79	90	zw	zw	PROPN
ejpam-3998	79	91	∈	∈	PROPN
ejpam-3998	79	92	e(g	e(g	PROPN
ejpam-3998	79	93	)	)	PUNCT
ejpam-3998	79	94	.	.	PUNCT
ejpam-3998	80	1	since	since	SCONJ
ejpam-3998	80	2	z	z	PROPN
ejpam-3998	80	3	∈	∈	PROPN
ejpam-3998	80	4	s	s	PART
ejpam-3998	80	5	(	(	PUNCT
ejpam-3998	80	6	by	by	ADP
ejpam-3998	80	7	the	the	DET
ejpam-3998	80	8	first	first	ADJ
ejpam-3998	80	9	part	part	NOUN
ejpam-3998	80	10	)	)	PUNCT
ejpam-3998	80	11	and	and	CCONJ
ejpam-3998	80	12	w	w	PROPN
ejpam-3998	80	13	/∈	/∈	PROPN
ejpam-3998	80	14	s	s	X
ejpam-3998	80	15	,	,	PUNCT
ejpam-3998	80	16	sz	sz	PROPN
ejpam-3998	80	17	=	=	SYM
ejpam-3998	80	18	s	s	PART
ejpam-3998	80	19	\	\	X
ejpam-3998	80	20	{	{	PUNCT
ejpam-3998	80	21	z	z	NOUN
ejpam-3998	80	22	}	}	PUNCT
ejpam-3998	80	23	is	be	AUX
ejpam-3998	80	24	not	not	PART
ejpam-3998	80	25	a	a	DET
ejpam-3998	80	26	dominating	dominating	NOUN
ejpam-3998	80	27	set	set	NOUN
ejpam-3998	80	28	(	(	PUNCT
ejpam-3998	80	29	because	because	SCONJ
ejpam-3998	80	30	w	w	PROPN
ejpam-3998	80	31	/∈	/∈	PROPN
ejpam-3998	80	32	sz	sz	PROPN
ejpam-3998	80	33	)	)	PUNCT
ejpam-3998	80	34	,	,	PUNCT
ejpam-3998	80	35	a	a	DET
ejpam-3998	80	36	contradiction	contradiction	NOUN
ejpam-3998	80	37	.	.	PUNCT
ejpam-3998	81	1	this	this	PRON
ejpam-3998	81	2	implies	imply	VERB
ejpam-3998	81	3	that	that	SCONJ
ejpam-3998	81	4	w	w	PROPN
ejpam-3998	81	5	∈	∈	PROPN
ejpam-3998	81	6	s	s	NOUN
ejpam-3998	81	7	,	,	PUNCT
ejpam-3998	81	8	that	that	ADV
ejpam-3998	81	9	is	is	ADV
ejpam-3998	81	10	,	,	PUNCT
ejpam-3998	81	11	s(g	s(g	PROPN
ejpam-3998	81	12	)	)	PUNCT
ejpam-3998	82	1	⊆	⊆	NUM
ejpam-3998	82	2	s.	s.	PROPN
ejpam-3998	82	3	therefore	therefore	ADV
ejpam-3998	82	4	,	,	PUNCT
ejpam-3998	82	5	l(g	l(g	PROPN
ejpam-3998	82	6	)	)	PUNCT
ejpam-3998	82	7	∪	∪	ADP
ejpam-3998	82	8	s(g	s(g	PROPN
ejpam-3998	82	9	)	)	PUNCT
ejpam-3998	83	1	⊆	⊆	NUM
ejpam-3998	83	2	s.	s.	PROPN
ejpam-3998	83	3	(	(	PUNCT
ejpam-3998	83	4	iii	iii	NOUN
ejpam-3998	83	5	)	)	PUNCT
ejpam-3998	83	6	suppose	suppose	VERB
ejpam-3998	83	7	γsl	γsl	VERB
ejpam-3998	83	8	(	(	PUNCT
ejpam-3998	83	9	g	g	NOUN
ejpam-3998	83	10	)	)	PUNCT
ejpam-3998	83	11	=	=	SYM
ejpam-3998	83	12	|v	|v	PROPN
ejpam-3998	83	13	(	(	PUNCT
ejpam-3998	83	14	g)|	g)|	NOUN
ejpam-3998	83	15	.	.	PUNCT
ejpam-3998	84	1	let	let	VERB
ejpam-3998	84	2	v	v	PART
ejpam-3998	84	3	be	be	AUX
ejpam-3998	84	4	vertex	vertex	NOUN
ejpam-3998	84	5	ofg	ofg	PROPN
ejpam-3998	85	1	such	such	ADJ
ejpam-3998	85	2	that	that	PRON
ejpam-3998	85	3	v	v	NOUN
ejpam-3998	85	4	/∈	/∈	PUNCT
ejpam-3998	85	5	l(g)∪s(g	l(g)∪s(g	VERB
ejpam-3998	85	6	)	)	PUNCT
ejpam-3998	85	7	.	.	PUNCT
ejpam-3998	86	1	suppose	suppose	VERB
ejpam-3998	86	2	further	far	ADV
ejpam-3998	86	3	that	that	SCONJ
ejpam-3998	86	4	ng(v	ng(v	NUM
ejpam-3998	86	5	)	)	PUNCT
ejpam-3998	86	6	6=	6=	ADP
ejpam-3998	86	7	ng(w	ng(w	NOUN
ejpam-3998	86	8	)	)	PUNCT
ejpam-3998	86	9	for	for	ADP
ejpam-3998	86	10	all	all	DET
ejpam-3998	86	11	w	w	PROPN
ejpam-3998	86	12	∈	∈	PROPN
ejpam-3998	86	13	v	v	ADP
ejpam-3998	86	14	(	(	PUNCT
ejpam-3998	86	15	g	g	NOUN
ejpam-3998	86	16	)	)	PUNCT
ejpam-3998	86	17	\	\	NOUN
ejpam-3998	86	18	{	{	PUNCT
ejpam-3998	86	19	v	v	NOUN
ejpam-3998	86	20	}	}	PUNCT
ejpam-3998	86	21	.	.	PUNCT
ejpam-3998	87	1	let	let	VERB
ejpam-3998	87	2	s	s	PRON
ejpam-3998	87	3	=	=	X
ejpam-3998	87	4	v	v	ADJ
ejpam-3998	87	5	(	(	PUNCT
ejpam-3998	87	6	g	g	NOUN
ejpam-3998	87	7	)	)	PUNCT
ejpam-3998	87	8	\	\	NOUN
ejpam-3998	87	9	{	{	PUNCT
ejpam-3998	87	10	v	v	NOUN
ejpam-3998	87	11	}	}	PUNCT
ejpam-3998	87	12	.	.	PUNCT
ejpam-3998	88	1	clearly	clearly	ADV
ejpam-3998	88	2	,	,	PUNCT
ejpam-3998	88	3	s	s	VERB
ejpam-3998	88	4	is	be	AUX
ejpam-3998	88	5	a	a	DET
ejpam-3998	88	6	locating	locate	VERB
ejpam-3998	88	7	-	-	PUNCT
ejpam-3998	88	8	dominating	dominate	VERB
ejpam-3998	88	9	set	set	NOUN
ejpam-3998	88	10	of	of	ADP
ejpam-3998	88	11	g.	g.	PROPN
ejpam-3998	88	12	now	now	ADV
ejpam-3998	88	13	let	let	VERB
ejpam-3998	88	14	z	z	NOUN
ejpam-3998	88	15	∈	∈	PROPN
ejpam-3998	88	16	v	v	ADP
ejpam-3998	88	17	(	(	PUNCT
ejpam-3998	88	18	g	g	NOUN
ejpam-3998	88	19	)	)	PUNCT
ejpam-3998	88	20	\	\	NOUN
ejpam-3998	88	21	{	{	PUNCT
ejpam-3998	88	22	v	v	NOUN
ejpam-3998	88	23	}	}	PUNCT
ejpam-3998	88	24	and	and	CCONJ
ejpam-3998	88	25	set	set	VERB
ejpam-3998	88	26	sz	sz	NOUN
ejpam-3998	88	27	=	=	PUNCT
ejpam-3998	88	28	s	s	PART
ejpam-3998	88	29	\	\	X
ejpam-3998	88	30	{	{	PUNCT
ejpam-3998	88	31	z	z	NOUN
ejpam-3998	88	32	}	}	PUNCT
ejpam-3998	88	33	.	.	PUNCT
ejpam-3998	89	1	suppose	suppose	VERB
ejpam-3998	89	2	vz	vz	PROPN
ejpam-3998	89	3	/∈	/∈	PUNCT
ejpam-3998	89	4	e(g	e(g	PROPN
ejpam-3998	89	5	)	)	PUNCT
ejpam-3998	89	6	.	.	PUNCT
ejpam-3998	90	1	choose	choose	VERB
ejpam-3998	90	2	any	any	DET
ejpam-3998	90	3	x	x	NOUN
ejpam-3998	90	4	,	,	PUNCT
ejpam-3998	90	5	y	y	PROPN
ejpam-3998	90	6	∈	∈	PROPN
ejpam-3998	90	7	v	v	ADP
ejpam-3998	90	8	(	(	PUNCT
ejpam-3998	90	9	g	g	NOUN
ejpam-3998	90	10	)	)	PUNCT
ejpam-3998	90	11	such	such	ADJ
ejpam-3998	90	12	that	that	SCONJ
ejpam-3998	90	13	xz	xz	PROPN
ejpam-3998	90	14	,	,	PUNCT
ejpam-3998	90	15	vy	vy	PROPN
ejpam-3998	90	16	∈	∈	PROPN
ejpam-3998	90	17	e(g	e(g	PROPN
ejpam-3998	90	18	)	)	PUNCT
ejpam-3998	90	19	.	.	PUNCT
ejpam-3998	91	1	then	then	ADV
ejpam-3998	91	2	x	x	X
ejpam-3998	91	3	,	,	PUNCT
ejpam-3998	91	4	y	y	PROPN
ejpam-3998	91	5	∈	∈	PROPN
ejpam-3998	91	6	sz	sz	PROPN
ejpam-3998	91	7	.	.	PUNCT
ejpam-3998	92	1	next	next	ADV
ejpam-3998	92	2	,	,	PUNCT
ejpam-3998	92	3	suppose	suppose	VERB
ejpam-3998	92	4	e.	e.	PROPN
ejpam-3998	92	5	ahmad	ahmad	PROPN
ejpam-3998	92	6	,	,	PUNCT
ejpam-3998	92	7	g.	g.	PROPN
ejpam-3998	92	8	malacas	malacas	PROPN
ejpam-3998	92	9	,	,	PUNCT
ejpam-3998	92	10	s.	s.	PROPN
ejpam-3998	92	11	canoy	canoy	PROPN
ejpam-3998	92	12	,	,	PUNCT
ejpam-3998	92	13	jr	jr	PROPN
ejpam-3998	92	14	.	.	PROPN
ejpam-3998	92	15	/	/	SYM
ejpam-3998	92	16	eur	eur	PROPN
ejpam-3998	92	17	.	.	PUNCT
ejpam-3998	93	1	j.	j.	PROPN
ejpam-3998	93	2	pure	pure	PROPN
ejpam-3998	93	3	appl	appl	PROPN
ejpam-3998	93	4	.	.	PROPN
ejpam-3998	93	5	math	math	PROPN
ejpam-3998	93	6	,	,	PUNCT
ejpam-3998	93	7	14	14	NUM
ejpam-3998	93	8	(	(	PUNCT
ejpam-3998	93	9	3	3	NUM
ejpam-3998	93	10	)	)	PUNCT
ejpam-3998	93	11	(	(	PUNCT
ejpam-3998	93	12	2021	2021	NUM
ejpam-3998	93	13	)	)	PUNCT
ejpam-3998	93	14	,	,	PUNCT
ejpam-3998	93	15	638	638	NUM
ejpam-3998	93	16	-	-	SYM
ejpam-3998	93	17	649	649	NUM
ejpam-3998	93	18	641	641	NUM
ejpam-3998	93	19	that	that	PRON
ejpam-3998	93	20	vz	vz	PROPN
ejpam-3998	93	21	∈	∈	PROPN
ejpam-3998	93	22	e(g	e(g	PROPN
ejpam-3998	93	23	)	)	PUNCT
ejpam-3998	93	24	.	.	PUNCT
ejpam-3998	94	1	since	since	SCONJ
ejpam-3998	94	2	v	v	NUM
ejpam-3998	94	3	/∈	/∈	PUNCT
ejpam-3998	94	4	s(g	s(g	PROPN
ejpam-3998	94	5	)	)	PUNCT
ejpam-3998	94	6	,	,	PUNCT
ejpam-3998	94	7	z	z	NOUN
ejpam-3998	94	8	/∈	/∈	PUNCT
ejpam-3998	94	9	l(g	l(g	NOUN
ejpam-3998	94	10	)	)	PUNCT
ejpam-3998	94	11	.	.	PUNCT
ejpam-3998	95	1	hence	hence	ADV
ejpam-3998	95	2	,	,	PUNCT
ejpam-3998	95	3	there	there	PRON
ejpam-3998	95	4	exists	exist	VERB
ejpam-3998	95	5	a	a	DET
ejpam-3998	95	6	vertex	vertex	NOUN
ejpam-3998	95	7	a	a	DET
ejpam-3998	95	8	∈	∈	NOUN
ejpam-3998	95	9	sz	sz	NOUN
ejpam-3998	95	10	such	such	ADJ
ejpam-3998	95	11	that	that	SCONJ
ejpam-3998	95	12	az	az	PROPN
ejpam-3998	95	13	∈	∈	PROPN
ejpam-3998	95	14	e(g	e(g	PROPN
ejpam-3998	95	15	)	)	PUNCT
ejpam-3998	95	16	.	.	PUNCT
ejpam-3998	96	1	further	far	ADV
ejpam-3998	96	2	,	,	PUNCT
ejpam-3998	96	3	since	since	SCONJ
ejpam-3998	96	4	v	v	NUM
ejpam-3998	96	5	/∈	/∈	PUNCT
ejpam-3998	96	6	l(g	l(g	NOUN
ejpam-3998	96	7	)	)	PUNCT
ejpam-3998	96	8	,	,	PUNCT
ejpam-3998	96	9	there	there	PRON
ejpam-3998	96	10	exists	exist	VERB
ejpam-3998	96	11	b	b	PROPN
ejpam-3998	96	12	∈	∈	ADJ
ejpam-3998	96	13	sz	sz	NOUN
ejpam-3998	96	14	such	such	ADJ
ejpam-3998	96	15	that	that	SCONJ
ejpam-3998	96	16	bv	bv	PROPN
ejpam-3998	96	17	∈	∈	PROPN
ejpam-3998	96	18	e(g	e(g	PROPN
ejpam-3998	96	19	)	)	PUNCT
ejpam-3998	96	20	.	.	PUNCT
ejpam-3998	97	1	therefore	therefore	ADV
ejpam-3998	97	2	,	,	PUNCT
ejpam-3998	97	3	sz	sz	PROPN
ejpam-3998	97	4	is	be	AUX
ejpam-3998	97	5	a	a	DET
ejpam-3998	97	6	dominating	dominating	NOUN
ejpam-3998	97	7	set	set	NOUN
ejpam-3998	97	8	of	of	ADP
ejpam-3998	97	9	g.	g.	PROPN
ejpam-3998	97	10	by	by	ADP
ejpam-3998	97	11	the	the	DET
ejpam-3998	97	12	additional	additional	ADJ
ejpam-3998	97	13	assumption	assumption	NOUN
ejpam-3998	97	14	that	that	SCONJ
ejpam-3998	97	15	ng(v	ng(v	NOUN
ejpam-3998	97	16	)	)	PUNCT
ejpam-3998	97	17	6=	6=	ADP
ejpam-3998	97	18	ng(w	ng(w	NOUN
ejpam-3998	97	19	)	)	PUNCT
ejpam-3998	97	20	,	,	PUNCT
ejpam-3998	97	21	it	it	PRON
ejpam-3998	97	22	follows	follow	VERB
ejpam-3998	97	23	that	that	SCONJ
ejpam-3998	97	24	sz	sz	PROPN
ejpam-3998	97	25	is	be	AUX
ejpam-3998	97	26	a	a	DET
ejpam-3998	97	27	locating	locating	NOUN
ejpam-3998	97	28	set	set	VERB
ejpam-3998	97	29	in	in	ADP
ejpam-3998	97	30	g.	g.	PROPN
ejpam-3998	97	31	since	since	SCONJ
ejpam-3998	97	32	z	z	PROPN
ejpam-3998	97	33	was	be	AUX
ejpam-3998	97	34	arbitrarily	arbitrarily	ADV
ejpam-3998	97	35	chosen	choose	VERB
ejpam-3998	97	36	from	from	ADP
ejpam-3998	97	37	s	s	PROPN
ejpam-3998	97	38	,	,	PUNCT
ejpam-3998	97	39	it	it	PRON
ejpam-3998	97	40	follows	follow	VERB
ejpam-3998	97	41	that	that	SCONJ
ejpam-3998	97	42	s	s	VERB
ejpam-3998	97	43	is	be	AUX
ejpam-3998	97	44	a	a	DET
ejpam-3998	97	45	stable	stable	ADJ
ejpam-3998	97	46	locating	locating	NOUN
ejpam-3998	97	47	-	-	PUNCT
ejpam-3998	97	48	dominating	dominate	VERB
ejpam-3998	97	49	set	set	NOUN
ejpam-3998	97	50	of	of	ADP
ejpam-3998	97	51	g.	g.	PROPN
ejpam-3998	97	52	thus	thus	ADV
ejpam-3998	97	53	,	,	PUNCT
ejpam-3998	97	54	γsl	γsl	VERB
ejpam-3998	97	55	(	(	PUNCT
ejpam-3998	97	56	g	g	NOUN
ejpam-3998	97	57	)	)	PUNCT
ejpam-3998	97	58	≤	≤	NUM
ejpam-3998	97	59	|s|	|s|	PROPN
ejpam-3998	97	60	=	=	SYM
ejpam-3998	97	61	|v	|v	X
ejpam-3998	97	62	(	(	PUNCT
ejpam-3998	97	63	g	g	NOUN
ejpam-3998	97	64	)	)	PUNCT
ejpam-3998	97	65	−	−	PROPN
ejpam-3998	97	66	1	1	NUM
ejpam-3998	97	67	,	,	PUNCT
ejpam-3998	97	68	a	a	DET
ejpam-3998	97	69	contradiction	contradiction	NOUN
ejpam-3998	97	70	.	.	PUNCT
ejpam-3998	98	1	consequently	consequently	ADV
ejpam-3998	98	2	,	,	PUNCT
ejpam-3998	98	3	there	there	PRON
ejpam-3998	98	4	exists	exist	VERB
ejpam-3998	98	5	a	a	DET
ejpam-3998	98	6	w	w	PROPN
ejpam-3998	98	7	∈	∈	PROPN
ejpam-3998	98	8	v	v	ADP
ejpam-3998	98	9	(	(	PUNCT
ejpam-3998	98	10	g	g	NOUN
ejpam-3998	98	11	)	)	PUNCT
ejpam-3998	98	12	\	\	NOUN
ejpam-3998	98	13	{	{	PUNCT
ejpam-3998	98	14	v	v	NOUN
ejpam-3998	98	15	}	}	PUNCT
ejpam-3998	98	16	such	such	ADJ
ejpam-3998	98	17	that	that	SCONJ
ejpam-3998	98	18	ng(v	ng(v	PUNCT
ejpam-3998	98	19	)	)	PUNCT
ejpam-3998	98	20	=	=	NOUN
ejpam-3998	98	21	ng(w	ng(w	NOUN
ejpam-3998	98	22	)	)	PUNCT
ejpam-3998	98	23	.	.	PUNCT
ejpam-3998	99	1	for	for	ADP
ejpam-3998	99	2	the	the	DET
ejpam-3998	99	3	converse	converse	NOUN
ejpam-3998	99	4	,	,	PUNCT
ejpam-3998	99	5	suppose	suppose	VERB
ejpam-3998	99	6	that	that	SCONJ
ejpam-3998	99	7	the	the	DET
ejpam-3998	99	8	given	give	VERB
ejpam-3998	99	9	conditions	condition	NOUN
ejpam-3998	99	10	hold	hold	VERB
ejpam-3998	99	11	in	in	ADP
ejpam-3998	99	12	g	g	NOUN
ejpam-3998	99	13	and	and	CCONJ
ejpam-3998	99	14	let	let	VERB
ejpam-3998	99	15	s	s	PRON
ejpam-3998	99	16	be	be	AUX
ejpam-3998	99	17	a	a	DET
ejpam-3998	99	18	γsl	γsl	NOUN
ejpam-3998	99	19	-set	-set	ADJ
ejpam-3998	99	20	of	of	ADP
ejpam-3998	99	21	g.	g.	PROPN
ejpam-3998	99	22	suppose	suppose	VERB
ejpam-3998	99	23	there	there	PRON
ejpam-3998	99	24	exists	exist	VERB
ejpam-3998	99	25	v	v	ADP
ejpam-3998	99	26	∈	∈	PROPN
ejpam-3998	99	27	v	v	NOUN
ejpam-3998	99	28	(	(	PUNCT
ejpam-3998	99	29	g	g	NOUN
ejpam-3998	99	30	)	)	PUNCT
ejpam-3998	99	31	\	\	PUNCT
ejpam-3998	100	1	s.	s.	PROPN
ejpam-3998	100	2	by	by	ADP
ejpam-3998	100	3	(	(	PUNCT
ejpam-3998	100	4	ii	ii	PROPN
ejpam-3998	100	5	)	)	PUNCT
ejpam-3998	100	6	,	,	PUNCT
ejpam-3998	100	7	v	v	X
ejpam-3998	100	8	/∈	/∈	PUNCT
ejpam-3998	100	9	l(g	l(g	NOUN
ejpam-3998	100	10	)	)	PUNCT
ejpam-3998	100	11	∪	∪	ADP
ejpam-3998	100	12	s(g	s(g	PROPN
ejpam-3998	100	13	)	)	PUNCT
ejpam-3998	100	14	⊆	⊆	NUM
ejpam-3998	100	15	s.	s.	PROPN
ejpam-3998	100	16	it	it	PRON
ejpam-3998	100	17	follows	follow	VERB
ejpam-3998	100	18	from	from	ADP
ejpam-3998	100	19	the	the	DET
ejpam-3998	100	20	assumption	assumption	NOUN
ejpam-3998	100	21	that	that	SCONJ
ejpam-3998	100	22	there	there	PRON
ejpam-3998	100	23	exists	exist	VERB
ejpam-3998	100	24	w	w	PROPN
ejpam-3998	100	25	∈	∈	PROPN
ejpam-3998	100	26	v	v	ADP
ejpam-3998	100	27	(	(	PUNCT
ejpam-3998	100	28	g	g	NOUN
ejpam-3998	100	29	)	)	PUNCT
ejpam-3998	100	30	\	\	NOUN
ejpam-3998	100	31	{	{	PUNCT
ejpam-3998	100	32	v	v	NOUN
ejpam-3998	100	33	}	}	PUNCT
ejpam-3998	100	34	such	such	ADJ
ejpam-3998	100	35	that	that	SCONJ
ejpam-3998	100	36	ng(v	ng(v	PUNCT
ejpam-3998	100	37	)	)	PUNCT
ejpam-3998	100	38	=	=	NOUN
ejpam-3998	100	39	ng(w	ng(w	NOUN
ejpam-3998	100	40	)	)	PUNCT
ejpam-3998	100	41	.	.	PUNCT
ejpam-3998	101	1	since	since	SCONJ
ejpam-3998	101	2	s	s	PROPN
ejpam-3998	101	3	is	be	AUX
ejpam-3998	101	4	a	a	DET
ejpam-3998	101	5	locating	locating	NOUN
ejpam-3998	101	6	set	set	NOUN
ejpam-3998	101	7	,	,	PUNCT
ejpam-3998	101	8	w	w	PROPN
ejpam-3998	101	9	∈	∈	PROPN
ejpam-3998	101	10	s.	s.	PROPN
ejpam-3998	101	11	however	however	ADV
ejpam-3998	101	12	,	,	PUNCT
ejpam-3998	101	13	the	the	DET
ejpam-3998	101	14	condition	condition	NOUN
ejpam-3998	101	15	that	that	SCONJ
ejpam-3998	101	16	ng(v	ng(v	NOUN
ejpam-3998	101	17	)	)	PUNCT
ejpam-3998	101	18	=	=	SYM
ejpam-3998	101	19	ng(w	ng(w	NOUN
ejpam-3998	101	20	)	)	PUNCT
ejpam-3998	101	21	would	would	AUX
ejpam-3998	101	22	imply	imply	VERB
ejpam-3998	101	23	that	that	PRON
ejpam-3998	101	24	ng(v	ng(v	NOUN
ejpam-3998	101	25	)	)	PUNCT
ejpam-3998	101	26	∩	∩	NOUN
ejpam-3998	101	27	sw	sw	PROPN
ejpam-3998	101	28	=	=	SYM
ejpam-3998	101	29	ng(w	ng(w	NOUN
ejpam-3998	101	30	)	)	PUNCT
ejpam-3998	101	31	∩	∩	PROPN
ejpam-3998	101	32	sw	sw	PROPN
ejpam-3998	101	33	,	,	PUNCT
ejpam-3998	101	34	where	where	SCONJ
ejpam-3998	101	35	sw	sw	PROPN
ejpam-3998	101	36	=	=	SYM
ejpam-3998	101	37	s	s	PART
ejpam-3998	101	38	\	\	X
ejpam-3998	101	39	{	{	PUNCT
ejpam-3998	101	40	w	w	NOUN
ejpam-3998	101	41	}	}	PUNCT
ejpam-3998	101	42	.	.	PUNCT
ejpam-3998	102	1	hence	hence	ADV
ejpam-3998	102	2	,	,	PUNCT
ejpam-3998	102	3	sw	sw	PROPN
ejpam-3998	102	4	is	be	AUX
ejpam-3998	102	5	not	not	PART
ejpam-3998	102	6	a	a	DET
ejpam-3998	102	7	locating	locating	NOUN
ejpam-3998	102	8	set	set	NOUN
ejpam-3998	102	9	of	of	ADP
ejpam-3998	102	10	g	g	NOUN
ejpam-3998	102	11	,	,	PUNCT
ejpam-3998	102	12	contrary	contrary	ADV
ejpam-3998	102	13	to	to	ADP
ejpam-3998	102	14	the	the	DET
ejpam-3998	102	15	assumption	assumption	NOUN
ejpam-3998	102	16	that	that	SCONJ
ejpam-3998	102	17	s	s	VERB
ejpam-3998	102	18	is	be	AUX
ejpam-3998	102	19	a	a	DET
ejpam-3998	102	20	stable	stable	ADJ
ejpam-3998	102	21	locating	locating	NOUN
ejpam-3998	102	22	-	-	PUNCT
ejpam-3998	102	23	dominating	dominate	VERB
ejpam-3998	102	24	set	set	NOUN
ejpam-3998	102	25	of	of	ADP
ejpam-3998	102	26	g.	g.	PROPN
ejpam-3998	102	27	therefore	therefore	ADV
ejpam-3998	102	28	,	,	PUNCT
ejpam-3998	102	29	s	s	VERB
ejpam-3998	102	30	=	=	SYM
ejpam-3998	102	31	v	v	X
ejpam-3998	102	32	(	(	PUNCT
ejpam-3998	102	33	g	g	NOUN
ejpam-3998	102	34	)	)	PUNCT
ejpam-3998	102	35	and	and	CCONJ
ejpam-3998	102	36	γsl	γsl	VERB
ejpam-3998	102	37	(	(	PUNCT
ejpam-3998	102	38	g	g	NOUN
ejpam-3998	102	39	)	)	PUNCT
ejpam-3998	102	40	=	=	SYM
ejpam-3998	103	1	|v	|v	PROPN
ejpam-3998	103	2	(	(	PUNCT
ejpam-3998	103	3	g)|	g)|	NOUN
ejpam-3998	103	4	.	.	PUNCT
ejpam-3998	104	1	the	the	DET
ejpam-3998	104	2	join	join	NOUN
ejpam-3998	104	3	of	of	ADP
ejpam-3998	104	4	two	two	NUM
ejpam-3998	104	5	graphs	graph	NOUN
ejpam-3998	104	6	g	g	NOUN
ejpam-3998	104	7	and	and	CCONJ
ejpam-3998	104	8	h	h	NOUN
ejpam-3998	104	9	,	,	PUNCT
ejpam-3998	104	10	denoted	denote	VERB
ejpam-3998	104	11	by	by	ADP
ejpam-3998	104	12	g	g	PROPN
ejpam-3998	104	13	+	+	CCONJ
ejpam-3998	104	14	h	h	NOUN
ejpam-3998	104	15	is	be	AUX
ejpam-3998	104	16	the	the	DET
ejpam-3998	104	17	graph	graph	NOUN
ejpam-3998	104	18	with	with	ADP
ejpam-3998	104	19	vertex	vertex	NOUN
ejpam-3998	104	20	set	set	VERB
ejpam-3998	104	21	v	v	NOUN
ejpam-3998	104	22	(	(	PUNCT
ejpam-3998	104	23	g+h	g+h	NOUN
ejpam-3998	104	24	)	)	PUNCT
ejpam-3998	104	25	=	=	SYM
ejpam-3998	104	26	v	v	NOUN
ejpam-3998	104	27	(	(	PUNCT
ejpam-3998	104	28	g)∪	g)∪	VERB
ejpam-3998	104	29	v	v	NUM
ejpam-3998	104	30	(	(	PUNCT
ejpam-3998	104	31	h	h	NOUN
ejpam-3998	104	32	)	)	PUNCT
ejpam-3998	104	33	and	and	CCONJ
ejpam-3998	104	34	edge	edge	NOUN
ejpam-3998	104	35	set	set	VERB
ejpam-3998	104	36	e(g+h	e(g+h	NUM
ejpam-3998	104	37	)	)	PUNCT
ejpam-3998	105	1	=	=	SYM
ejpam-3998	105	2	e(g)∪e(h)∪	e(g)∪e(h)∪	NOUN
ejpam-3998	105	3	{	{	PUNCT
ejpam-3998	105	4	uv	uv	NOUN
ejpam-3998	105	5	:	:	PUNCT
ejpam-3998	105	6	u	u	PROPN
ejpam-3998	105	7	∈	∈	PROPN
ejpam-3998	105	8	v	v	ADP
ejpam-3998	105	9	(	(	PUNCT
ejpam-3998	105	10	g	g	NOUN
ejpam-3998	105	11	)	)	PUNCT
ejpam-3998	105	12	,	,	PUNCT
ejpam-3998	105	13	v	v	X
ejpam-3998	105	14	∈	∈	PROPN
ejpam-3998	105	15	v	v	NOUN
ejpam-3998	105	16	(	(	PUNCT
ejpam-3998	105	17	h	h	NOUN
ejpam-3998	105	18	)	)	PUNCT
ejpam-3998	105	19	}	}	PUNCT
ejpam-3998	105	20	.	.	PUNCT
ejpam-3998	106	1	theorem	theorem	NOUN
ejpam-3998	106	2	1	1	NUM
ejpam-3998	106	3	.	.	PUNCT
ejpam-3998	107	1	let	let	VERB
ejpam-3998	107	2	g	g	PRON
ejpam-3998	107	3	be	be	AUX
ejpam-3998	107	4	a	a	DET
ejpam-3998	107	5	graph	graph	NOUN
ejpam-3998	107	6	without	without	ADP
ejpam-3998	107	7	isolated	isolated	ADJ
ejpam-3998	107	8	vertices	vertex	NOUN
ejpam-3998	107	9	and	and	CCONJ
ejpam-3998	108	1	k1	k1	NOUN
ejpam-3998	108	2	=	=	SYM
ejpam-3998	108	3	〈	〈	PROPN
ejpam-3998	108	4	v	v	NOUN
ejpam-3998	108	5	〉	〉	PROPN
ejpam-3998	108	6	.	.	PUNCT
ejpam-3998	109	1	a	a	DET
ejpam-3998	109	2	set	set	NOUN
ejpam-3998	109	3	s	s	PART
ejpam-3998	109	4	is	be	AUX
ejpam-3998	109	5	a	a	DET
ejpam-3998	109	6	stable	stable	ADJ
ejpam-3998	109	7	locating	locating	NOUN
ejpam-3998	109	8	-	-	PUNCT
ejpam-3998	109	9	dominating	dominate	VERB
ejpam-3998	109	10	set	set	NOUN
ejpam-3998	109	11	of	of	ADP
ejpam-3998	109	12	h	h	NOUN
ejpam-3998	109	13	=	=	PROPN
ejpam-3998	109	14	k1	k1	PROPN
ejpam-3998	110	1	+	+	ADV
ejpam-3998	110	2	g	g	PROPN
ejpam-3998	110	3	if	if	SCONJ
ejpam-3998	110	4	and	and	CCONJ
ejpam-3998	110	5	only	only	ADV
ejpam-3998	110	6	if	if	SCONJ
ejpam-3998	110	7	(	(	PUNCT
ejpam-3998	110	8	i	i	NOUN
ejpam-3998	110	9	)	)	PUNCT
ejpam-3998	110	10	v	v	ADP
ejpam-3998	110	11	∈	∈	PROPN
ejpam-3998	110	12	s	s	NOUN
ejpam-3998	110	13	and	and	CCONJ
ejpam-3998	110	14	sg	sg	X
ejpam-3998	110	15	=	=	SYM
ejpam-3998	110	16	s	s	PART
ejpam-3998	110	17	\	\	X
ejpam-3998	110	18	{	{	PUNCT
ejpam-3998	110	19	v	v	NOUN
ejpam-3998	110	20	}	}	PUNCT
ejpam-3998	110	21	is	be	AUX
ejpam-3998	110	22	both	both	PRON
ejpam-3998	110	23	a	a	DET
ejpam-3998	110	24	strictly	strictly	ADV
ejpam-3998	110	25	locating	locate	VERB
ejpam-3998	110	26	-	-	PUNCT
ejpam-3998	110	27	dominating	dominate	VERB
ejpam-3998	110	28	and	and	CCONJ
ejpam-3998	110	29	stable	stable	ADJ
ejpam-3998	110	30	locating	locating	NOUN
ejpam-3998	110	31	set	set	NOUN
ejpam-3998	110	32	of	of	ADP
ejpam-3998	110	33	g	g	PROPN
ejpam-3998	110	34	or	or	CCONJ
ejpam-3998	110	35	(	(	PUNCT
ejpam-3998	110	36	ii	ii	NOUN
ejpam-3998	110	37	)	)	PUNCT
ejpam-3998	110	38	s	s	VERB
ejpam-3998	110	39	is	be	AUX
ejpam-3998	110	40	a	a	DET
ejpam-3998	110	41	stable	stable	ADJ
ejpam-3998	110	42	strictly	strictly	ADV
ejpam-3998	110	43	locating	locate	VERB
ejpam-3998	110	44	-	-	PUNCT
ejpam-3998	110	45	dominating	dominate	VERB
ejpam-3998	110	46	set	set	NOUN
ejpam-3998	110	47	of	of	ADP
ejpam-3998	110	48	g.	g.	PROPN
ejpam-3998	110	49	proof	proof	PROPN
ejpam-3998	110	50	.	.	PUNCT
ejpam-3998	111	1	suppose	suppose	VERB
ejpam-3998	111	2	that	that	SCONJ
ejpam-3998	111	3	s	s	VERB
ejpam-3998	111	4	is	be	AUX
ejpam-3998	111	5	a	a	DET
ejpam-3998	111	6	stable	stable	ADJ
ejpam-3998	111	7	locating	locating	NOUN
ejpam-3998	111	8	-	-	PUNCT
ejpam-3998	111	9	dominating	dominate	VERB
ejpam-3998	111	10	set	set	NOUN
ejpam-3998	111	11	of	of	ADP
ejpam-3998	111	12	h.	h.	PROPN
ejpam-3998	111	13	consider	consider	VERB
ejpam-3998	111	14	the	the	DET
ejpam-3998	111	15	following	follow	VERB
ejpam-3998	111	16	cases	case	NOUN
ejpam-3998	111	17	:	:	PUNCT
ejpam-3998	111	18	case	case	NOUN
ejpam-3998	111	19	1	1	NUM
ejpam-3998	111	20	.	.	PUNCT
ejpam-3998	112	1	v	v	NUM
ejpam-3998	112	2	∈	∈	PROPN
ejpam-3998	112	3	s	s	NOUN
ejpam-3998	112	4	since	since	SCONJ
ejpam-3998	112	5	s	s	NOUN
ejpam-3998	112	6	is	be	AUX
ejpam-3998	112	7	a	a	DET
ejpam-3998	112	8	stable	stable	ADJ
ejpam-3998	112	9	locating	locating	NOUN
ejpam-3998	112	10	-	-	PUNCT
ejpam-3998	112	11	dominating	dominate	VERB
ejpam-3998	112	12	set	set	NOUN
ejpam-3998	112	13	of	of	ADP
ejpam-3998	112	14	h	h	NOUN
ejpam-3998	112	15	,	,	PUNCT
ejpam-3998	112	16	sg	sg	ADP
ejpam-3998	112	17	=	=	SYM
ejpam-3998	112	18	s	s	NOUN
ejpam-3998	112	19	\{v	\{v	PROPN
ejpam-3998	112	20	}	}	PUNCT
ejpam-3998	112	21	is	be	AUX
ejpam-3998	112	22	a	a	DET
ejpam-3998	112	23	locating	locate	VERB
ejpam-3998	112	24	-	-	PUNCT
ejpam-3998	112	25	dominating	dominate	VERB
ejpam-3998	112	26	set	set	NOUN
ejpam-3998	112	27	of	of	ADP
ejpam-3998	112	28	h.	h.	PROPN
ejpam-3998	112	29	hence	hence	ADV
ejpam-3998	112	30	,	,	PUNCT
ejpam-3998	112	31	nh(v	nh(v	ADJ
ejpam-3998	112	32	)	)	PUNCT
ejpam-3998	112	33	∩	∩	NOUN
ejpam-3998	112	34	sg	sg	ADP
ejpam-3998	112	35	=	=	SYM
ejpam-3998	112	36	sg	sg	PROPN
ejpam-3998	112	37	6=	6=	ADP
ejpam-3998	112	38	nh(w	nh(w	NOUN
ejpam-3998	112	39	)	)	PUNCT
ejpam-3998	112	40	∩	∩	NOUN
ejpam-3998	112	41	sg	sg	ADP
ejpam-3998	112	42	=	=	SYM
ejpam-3998	112	43	ng(w	ng(w	NOUN
ejpam-3998	112	44	)	)	PUNCT
ejpam-3998	112	45	∩	∩	NOUN
ejpam-3998	112	46	sg	sg	ADP
ejpam-3998	112	47	for	for	ADP
ejpam-3998	112	48	all	all	DET
ejpam-3998	112	49	w	w	PROPN
ejpam-3998	112	50	∈	∈	PROPN
ejpam-3998	112	51	v	v	ADP
ejpam-3998	112	52	(	(	PUNCT
ejpam-3998	112	53	g	g	NOUN
ejpam-3998	112	54	)	)	PUNCT
ejpam-3998	112	55	\	\	PROPN
ejpam-3998	112	56	sg	sg	PROPN
ejpam-3998	112	57	.	.	PUNCT
ejpam-3998	113	1	also	also	ADV
ejpam-3998	113	2	,	,	PUNCT
ejpam-3998	113	3	for	for	ADP
ejpam-3998	113	4	x	x	X
ejpam-3998	113	5	,	,	PUNCT
ejpam-3998	113	6	y	y	PROPN
ejpam-3998	113	7	∈	∈	PROPN
ejpam-3998	113	8	v	v	NOUN
ejpam-3998	113	9	(	(	PUNCT
ejpam-3998	113	10	g)\sg	g)\sg	PROPN
ejpam-3998	113	11	with	with	ADP
ejpam-3998	113	12	x	x	SYM
ejpam-3998	113	13	6=	6=	PROPN
ejpam-3998	113	14	y	y	PROPN
ejpam-3998	113	15	,	,	PUNCT
ejpam-3998	113	16	we	we	PRON
ejpam-3998	113	17	have	have	VERB
ejpam-3998	113	18	[	[	X
ejpam-3998	113	19	ng(x)∩sg]∪{v	ng(x)∩sg]∪{v	NOUN
ejpam-3998	113	20	}	}	PUNCT
ejpam-3998	113	21	=	=	SYM
ejpam-3998	113	22	nh(x)∩s	nh(x)∩s	PROPN
ejpam-3998	114	1	6=	6=	NUM
ejpam-3998	114	2	nh(y)∩	nh(y)∩	ADP
ejpam-3998	114	3	s	s	PART
ejpam-3998	114	4	=	=	PUNCT
ejpam-3998	114	5	[	[	X
ejpam-3998	114	6	ng(y	ng(y	NOUN
ejpam-3998	114	7	)	)	PUNCT
ejpam-3998	114	8	∩	∩	NOUN
ejpam-3998	114	9	sg	sg	ADP
ejpam-3998	114	10	]	]	SYM
ejpam-3998	114	11	∪	∪	X
ejpam-3998	114	12	{	{	PUNCT
ejpam-3998	114	13	v	v	NOUN
ejpam-3998	114	14	}	}	PUNCT
ejpam-3998	114	15	.	.	PUNCT
ejpam-3998	115	1	thus	thus	ADV
ejpam-3998	115	2	,	,	PUNCT
ejpam-3998	115	3	ng(x	ng(x	NUM
ejpam-3998	115	4	)	)	PUNCT
ejpam-3998	115	5	∩	∩	NOUN
ejpam-3998	115	6	sg	sg	ADP
ejpam-3998	115	7	6=	6=	NOUN
ejpam-3998	115	8	ng(y	ng(y	NOUN
ejpam-3998	115	9	)	)	PUNCT
ejpam-3998	115	10	∩	∩	NOUN
ejpam-3998	115	11	sg	sg	PROPN
ejpam-3998	115	12	,	,	PUNCT
ejpam-3998	115	13	showing	show	VERB
ejpam-3998	115	14	that	that	SCONJ
ejpam-3998	115	15	sg	sg	PROPN
ejpam-3998	115	16	is	be	AUX
ejpam-3998	115	17	a	a	DET
ejpam-3998	115	18	strictly	strictly	ADV
ejpam-3998	115	19	locating	locate	VERB
ejpam-3998	115	20	-	-	PUNCT
ejpam-3998	115	21	dominating	dominate	VERB
ejpam-3998	115	22	set	set	NOUN
ejpam-3998	115	23	of	of	ADP
ejpam-3998	115	24	g.	g.	PROPN
ejpam-3998	115	25	next	next	ADV
ejpam-3998	115	26	,	,	PUNCT
ejpam-3998	115	27	let	let	VERB
ejpam-3998	115	28	z	z	PROPN
ejpam-3998	115	29	∈	∈	PROPN
ejpam-3998	115	30	sg	sg	NOUN
ejpam-3998	115	31	and	and	CCONJ
ejpam-3998	115	32	let	let	VERB
ejpam-3998	115	33	sz	sz	PRON
ejpam-3998	115	34	g	g	NOUN
ejpam-3998	115	35	=	=	VERB
ejpam-3998	115	36	sg	sg	PROPN
ejpam-3998	115	37	\	\	PROPN
ejpam-3998	115	38	{	{	PUNCT
ejpam-3998	115	39	z	z	NOUN
ejpam-3998	115	40	}	}	PUNCT
ejpam-3998	115	41	.	.	PUNCT
ejpam-3998	116	1	since	since	SCONJ
ejpam-3998	116	2	sz	sz	NOUN
ejpam-3998	116	3	=	=	PROPN
ejpam-3998	116	4	s	s	PART
ejpam-3998	116	5	\	\	X
ejpam-3998	116	6	{	{	PUNCT
ejpam-3998	116	7	z	z	NOUN
ejpam-3998	116	8	}	}	PUNCT
ejpam-3998	116	9	is	be	AUX
ejpam-3998	116	10	a	a	DET
ejpam-3998	116	11	locating	locate	VERB
ejpam-3998	116	12	-	-	PUNCT
ejpam-3998	116	13	dominating	dominating	NOUN
ejpam-3998	116	14	set	set	NOUN
ejpam-3998	116	15	in	in	ADP
ejpam-3998	116	16	h	h	PROPN
ejpam-3998	116	17	,	,	PUNCT
ejpam-3998	116	18	nh(p	nh(p	NUM
ejpam-3998	116	19	)	)	PUNCT
ejpam-3998	116	20	∩	∩	PROPN
ejpam-3998	116	21	sz	sz	PROPN
ejpam-3998	116	22	6=	6=	PROPN
ejpam-3998	116	23	nh(q	nh(q	X
ejpam-3998	116	24	)	)	PUNCT
ejpam-3998	116	25	∩	∩	NOUN
ejpam-3998	116	26	sz	sz	NOUN
ejpam-3998	116	27	for	for	ADP
ejpam-3998	116	28	all	all	DET
ejpam-3998	116	29	p	p	NOUN
ejpam-3998	116	30	,	,	PUNCT
ejpam-3998	116	31	q	q	PROPN
ejpam-3998	116	32	∈	∈	PROPN
ejpam-3998	116	33	v	v	ADP
ejpam-3998	116	34	(	(	PUNCT
ejpam-3998	116	35	g	g	NOUN
ejpam-3998	116	36	)	)	PUNCT
ejpam-3998	116	37	\	\	PROPN
ejpam-3998	116	38	sz	sz	PROPN
ejpam-3998	116	39	g	g	NOUN
ejpam-3998	116	40	with	with	ADP
ejpam-3998	116	41	p	p	PROPN
ejpam-3998	116	42	6=	6=	ADP
ejpam-3998	116	43	q.	q.	PROPN
ejpam-3998	116	44	since	since	SCONJ
ejpam-3998	116	45	sz	sz	NOUN
ejpam-3998	116	46	=	=	SYM
ejpam-3998	116	47	(	(	PUNCT
ejpam-3998	116	48	sg	sg	ADP
ejpam-3998	116	49	∪	∪	VERB
ejpam-3998	116	50	{	{	PUNCT
ejpam-3998	116	51	v	v	NOUN
ejpam-3998	116	52	}	}	PUNCT
ejpam-3998	116	53	)	)	PUNCT
ejpam-3998	116	54	\	\	NOUN
ejpam-3998	117	1	{	{	PUNCT
ejpam-3998	117	2	z	z	NOUN
ejpam-3998	117	3	}	}	PUNCT
ejpam-3998	117	4	=	=	PUNCT
ejpam-3998	117	5	sz	sz	NOUN
ejpam-3998	117	6	g	g	PROPN
ejpam-3998	117	7	∪	∪	X
ejpam-3998	117	8	{	{	PUNCT
ejpam-3998	117	9	v	v	NOUN
ejpam-3998	117	10	}	}	PUNCT
ejpam-3998	117	11	,	,	PUNCT
ejpam-3998	117	12	ng(p	ng(p	X
ejpam-3998	117	13	)	)	PUNCT
ejpam-3998	118	1	∩	∩	NOUN
ejpam-3998	118	2	sz	sz	PROPN
ejpam-3998	118	3	g	g	PROPN
ejpam-3998	118	4	6=	6=	ADP
ejpam-3998	118	5	ng(q	ng(q	NOUN
ejpam-3998	118	6	)	)	PUNCT
ejpam-3998	118	7	∩	∩	NOUN
ejpam-3998	118	8	sz	sz	NOUN
ejpam-3998	118	9	g	g	NOUN
ejpam-3998	118	10	for	for	ADP
ejpam-3998	118	11	all	all	DET
ejpam-3998	118	12	p	p	NOUN
ejpam-3998	118	13	,	,	PUNCT
ejpam-3998	118	14	q	q	PROPN
ejpam-3998	118	15	∈	∈	PROPN
ejpam-3998	118	16	v	v	ADP
ejpam-3998	118	17	(	(	PUNCT
ejpam-3998	118	18	g	g	NOUN
ejpam-3998	118	19	)	)	PUNCT
ejpam-3998	118	20	\	\	PROPN
ejpam-3998	118	21	sz	sz	PROPN
ejpam-3998	118	22	g	g	NOUN
ejpam-3998	118	23	with	with	ADP
ejpam-3998	118	24	p	p	PROPN
ejpam-3998	118	25	6=	6=	ADP
ejpam-3998	118	26	q.	q.	NOUN
ejpam-3998	118	27	this	this	PRON
ejpam-3998	118	28	implies	imply	VERB
ejpam-3998	118	29	that	that	SCONJ
ejpam-3998	118	30	sz	sz	PROPN
ejpam-3998	118	31	g	g	PROPN
ejpam-3998	118	32	is	be	AUX
ejpam-3998	118	33	a	a	DET
ejpam-3998	118	34	locating	locating	NOUN
ejpam-3998	118	35	set	set	VERB
ejpam-3998	118	36	in	in	ADP
ejpam-3998	118	37	g.	g.	PROPN
ejpam-3998	118	38	therefore	therefore	ADV
ejpam-3998	118	39	,	,	PUNCT
ejpam-3998	118	40	sg	sg	PROPN
ejpam-3998	118	41	is	be	AUX
ejpam-3998	118	42	a	a	DET
ejpam-3998	118	43	stable	stable	ADJ
ejpam-3998	118	44	locating	locating	NOUN
ejpam-3998	118	45	set	set	VERB
ejpam-3998	118	46	in	in	ADP
ejpam-3998	118	47	g.	g.	PROPN
ejpam-3998	118	48	this	this	PRON
ejpam-3998	118	49	shows	show	VERB
ejpam-3998	118	50	that	that	SCONJ
ejpam-3998	118	51	(	(	PUNCT
ejpam-3998	118	52	i	i	NOUN
ejpam-3998	118	53	)	)	PUNCT
ejpam-3998	118	54	holds	hold	VERB
ejpam-3998	118	55	.	.	PUNCT
ejpam-3998	119	1	case	case	NOUN
ejpam-3998	119	2	2	2	NUM
ejpam-3998	119	3	.	.	NOUN
ejpam-3998	119	4	v	v	NUM
ejpam-3998	119	5	/∈	/∈	PUNCT
ejpam-3998	119	6	s	s	VERB
ejpam-3998	119	7	clearly	clearly	ADV
ejpam-3998	119	8	,	,	PUNCT
ejpam-3998	119	9	s	s	VERB
ejpam-3998	119	10	is	be	AUX
ejpam-3998	119	11	a	a	DET
ejpam-3998	119	12	dominating	dominating	NOUN
ejpam-3998	119	13	set	set	NOUN
ejpam-3998	119	14	of	of	ADP
ejpam-3998	119	15	g.	g.	PROPN
ejpam-3998	119	16	since	since	SCONJ
ejpam-3998	119	17	s	s	PROPN
ejpam-3998	119	18	is	be	AUX
ejpam-3998	119	19	a	a	DET
ejpam-3998	119	20	locating	locate	VERB
ejpam-3998	119	21	-	-	PUNCT
ejpam-3998	119	22	dominating	dominate	VERB
ejpam-3998	119	23	set	set	NOUN
ejpam-3998	119	24	of	of	ADP
ejpam-3998	119	25	h.	h.	PROPN
ejpam-3998	119	26	h	h	PROPN
ejpam-3998	119	27	and	and	CCONJ
ejpam-3998	119	28	v	v	ADP
ejpam-3998	119	29	/∈	/∈	PUNCT
ejpam-3998	119	30	s	s	NOUN
ejpam-3998	119	31	,	,	PUNCT
ejpam-3998	119	32	ng(x	ng(x	NUM
ejpam-3998	119	33	)	)	PUNCT
ejpam-3998	119	34	∩	∩	NOUN
ejpam-3998	119	35	s	s	PART
ejpam-3998	119	36	=	=	SYM
ejpam-3998	119	37	nh(x	nh(x	X
ejpam-3998	119	38	)	)	PUNCT
ejpam-3998	119	39	∩	∩	X
ejpam-3998	119	40	s	s	PART
ejpam-3998	119	41	6=	6=	NUM
ejpam-3998	119	42	nh(y	nh(y	NOUN
ejpam-3998	119	43	)	)	PUNCT
ejpam-3998	119	44	∩	∩	PROPN
ejpam-3998	119	45	s	s	PART
ejpam-3998	119	46	=	=	ADJ
ejpam-3998	119	47	ng(y	ng(y	NOUN
ejpam-3998	119	48	)	)	PUNCT
ejpam-3998	119	49	∩	∩	NOUN
ejpam-3998	119	50	s	s	PART
ejpam-3998	119	51	for	for	ADP
ejpam-3998	119	52	all	all	DET
ejpam-3998	119	53	x	x	NOUN
ejpam-3998	119	54	,	,	PUNCT
ejpam-3998	119	55	y	y	PROPN
ejpam-3998	119	56	∈	∈	PROPN
ejpam-3998	119	57	v	v	ADP
ejpam-3998	119	58	(	(	PUNCT
ejpam-3998	119	59	g	g	NOUN
ejpam-3998	119	60	)	)	PUNCT
ejpam-3998	119	61	\	\	PUNCT
ejpam-3998	120	1	s	s	PART
ejpam-3998	120	2	with	with	ADP
ejpam-3998	120	3	x	x	SYM
ejpam-3998	120	4	6=	6=	ADP
ejpam-3998	120	5	y	y	PROPN
ejpam-3998	120	6	and	and	CCONJ
ejpam-3998	120	7	s	s	NOUN
ejpam-3998	120	8	=	=	NOUN
ejpam-3998	120	9	nh(v	nh(v	ADJ
ejpam-3998	120	10	)	)	PUNCT
ejpam-3998	120	11	∩	∩	PROPN
ejpam-3998	120	12	s	s	PART
ejpam-3998	120	13	6=	6=	PROPN
ejpam-3998	120	14	nh(z	nh(z	NOUN
ejpam-3998	120	15	)	)	PUNCT
ejpam-3998	120	16	∩	∩	NOUN
ejpam-3998	120	17	s	s	PART
ejpam-3998	120	18	=	=	SYM
ejpam-3998	120	19	ng(z	ng(z	PROPN
ejpam-3998	120	20	)	)	PUNCT
ejpam-3998	120	21	∩	∩	PROPN
ejpam-3998	120	22	s	s	PART
ejpam-3998	120	23	for	for	ADP
ejpam-3998	120	24	all	all	DET
ejpam-3998	120	25	z	z	NOUN
ejpam-3998	120	26	∈	∈	PROPN
ejpam-3998	120	27	v	v	ADP
ejpam-3998	120	28	(	(	PUNCT
ejpam-3998	120	29	g	g	NOUN
ejpam-3998	120	30	)	)	PUNCT
ejpam-3998	120	31	\	\	NOUN
ejpam-3998	121	1	s.	s.	PROPN
ejpam-3998	121	2	hence	hence	ADV
ejpam-3998	121	3	,	,	PUNCT
ejpam-3998	121	4	s	s	VERB
ejpam-3998	121	5	is	be	AUX
ejpam-3998	121	6	a	a	DET
ejpam-3998	121	7	strictly	strictly	ADV
ejpam-3998	121	8	locating	locate	VERB
ejpam-3998	121	9	-	-	PUNCT
ejpam-3998	121	10	dominating	dominating	NOUN
ejpam-3998	121	11	set	set	NOUN
ejpam-3998	121	12	in	in	ADP
ejpam-3998	121	13	g.	g.	PROPN
ejpam-3998	121	14	next	next	ADV
ejpam-3998	121	15	,	,	PUNCT
ejpam-3998	121	16	let	let	VERB
ejpam-3998	121	17	w	w	PROPN
ejpam-3998	121	18	∈	∈	NOUN
ejpam-3998	121	19	s	s	PART
ejpam-3998	121	20	and	and	CCONJ
ejpam-3998	121	21	let	let	VERB
ejpam-3998	121	22	sw	sw	NOUN
ejpam-3998	121	23	=	=	SYM
ejpam-3998	121	24	s	s	PART
ejpam-3998	121	25	\	\	X
ejpam-3998	121	26	{	{	PUNCT
ejpam-3998	121	27	w	w	NOUN
ejpam-3998	121	28	}	}	PUNCT
ejpam-3998	121	29	.	.	PUNCT
ejpam-3998	122	1	since	since	SCONJ
ejpam-3998	122	2	s	s	PROPN
ejpam-3998	122	3	is	be	AUX
ejpam-3998	122	4	a	a	DET
ejpam-3998	122	5	stable	stable	ADJ
ejpam-3998	122	6	locating	locating	NOUN
ejpam-3998	122	7	-	-	PUNCT
ejpam-3998	122	8	dominating	dominate	VERB
ejpam-3998	122	9	set	set	NOUN
ejpam-3998	122	10	of	of	ADP
ejpam-3998	122	11	h	h	NOUN
ejpam-3998	122	12	,	,	PUNCT
ejpam-3998	122	13	sw	sw	PROPN
ejpam-3998	122	14	is	be	AUX
ejpam-3998	122	15	a	a	DET
ejpam-3998	122	16	locating	locate	VERB
ejpam-3998	122	17	-	-	PUNCT
ejpam-3998	122	18	dominating	dominating	NOUN
ejpam-3998	122	19	set	set	NOUN
ejpam-3998	122	20	in	in	ADP
ejpam-3998	122	21	h.	h.	PROPN
ejpam-3998	122	22	this	this	PRON
ejpam-3998	122	23	implies	imply	VERB
ejpam-3998	122	24	that	that	PRON
ejpam-3998	122	25	ng(a	ng(a	NOUN
ejpam-3998	122	26	)	)	PUNCT
ejpam-3998	122	27	∩	∩	ADJ
ejpam-3998	122	28	sw	sw	PROPN
ejpam-3998	122	29	=	=	SYM
ejpam-3998	122	30	nh(a	nh(a	PROPN
ejpam-3998	122	31	)	)	PUNCT
ejpam-3998	122	32	∩	∩	X
ejpam-3998	122	33	sw	sw	PROPN
ejpam-3998	122	34	6=	6=	ADP
ejpam-3998	122	35	nh(b	nh(b	NUM
ejpam-3998	122	36	)	)	PUNCT
ejpam-3998	122	37	∩	∩	PROPN
ejpam-3998	122	38	sw	sw	PROPN
ejpam-3998	122	39	=	=	SYM
ejpam-3998	122	40	ng(b	ng(b	X
ejpam-3998	122	41	)	)	PUNCT
ejpam-3998	122	42	∩	∩	X
ejpam-3998	122	43	sw	sw	PROPN
ejpam-3998	122	44	for	for	ADP
ejpam-3998	122	45	all	all	DET
ejpam-3998	122	46	a	a	DET
ejpam-3998	122	47	,	,	PUNCT
ejpam-3998	122	48	b	b	X
ejpam-3998	122	49	∈	∈	PROPN
ejpam-3998	122	50	v	v	NOUN
ejpam-3998	122	51	(	(	PUNCT
ejpam-3998	122	52	g	g	NOUN
ejpam-3998	122	53	)	)	PUNCT
ejpam-3998	122	54	\	\	PROPN
ejpam-3998	122	55	sw	sw	PROPN
ejpam-3998	122	56	e.	e.	PROPN
ejpam-3998	122	57	ahmad	ahmad	PROPN
ejpam-3998	122	58	,	,	PUNCT
ejpam-3998	122	59	g.	g.	PROPN
ejpam-3998	122	60	malacas	malacas	PROPN
ejpam-3998	122	61	,	,	PUNCT
ejpam-3998	122	62	s.	s.	PROPN
ejpam-3998	122	63	canoy	canoy	PROPN
ejpam-3998	122	64	,	,	PUNCT
ejpam-3998	122	65	jr	jr	PROPN
ejpam-3998	122	66	.	.	PROPN
ejpam-3998	122	67	/	/	SYM
ejpam-3998	122	68	eur	eur	PROPN
ejpam-3998	122	69	.	.	PUNCT
ejpam-3998	123	1	j.	j.	PROPN
ejpam-3998	123	2	pure	pure	PROPN
ejpam-3998	123	3	appl	appl	PROPN
ejpam-3998	123	4	.	.	PROPN
ejpam-3998	123	5	math	math	PROPN
ejpam-3998	123	6	,	,	PUNCT
ejpam-3998	123	7	14	14	NUM
ejpam-3998	123	8	(	(	PUNCT
ejpam-3998	123	9	3	3	NUM
ejpam-3998	123	10	)	)	PUNCT
ejpam-3998	123	11	(	(	PUNCT
ejpam-3998	123	12	2021	2021	NUM
ejpam-3998	123	13	)	)	PUNCT
ejpam-3998	123	14	,	,	PUNCT
ejpam-3998	123	15	638	638	NUM
ejpam-3998	123	16	-	-	SYM
ejpam-3998	123	17	649	649	NUM
ejpam-3998	123	18	642	642	NUM
ejpam-3998	123	19	with	with	ADP
ejpam-3998	123	20	a	a	DET
ejpam-3998	123	21	6=	6=	NUM
ejpam-3998	123	22	b.	b.	NOUN
ejpam-3998	123	23	since	since	SCONJ
ejpam-3998	123	24	v	v	PROPN
ejpam-3998	123	25	/∈	/∈	SYM
ejpam-3998	123	26	sw	sw	PROPN
ejpam-3998	123	27	,	,	PUNCT
ejpam-3998	123	28	sw	sw	NOUN
ejpam-3998	123	29	=	=	SYM
ejpam-3998	123	30	nh(v	nh(v	NOUN
ejpam-3998	123	31	)	)	PUNCT
ejpam-3998	123	32	∩	∩	X
ejpam-3998	123	33	sw	sw	PROPN
ejpam-3998	123	34	6=	6=	PROPN
ejpam-3998	123	35	nh(z	nh(z	NOUN
ejpam-3998	123	36	)	)	PUNCT
ejpam-3998	123	37	∩	∩	ADJ
ejpam-3998	123	38	sw	sw	PROPN
ejpam-3998	123	39	=	=	PUNCT
ejpam-3998	123	40	ng(z	ng(z	PROPN
ejpam-3998	123	41	)	)	PUNCT
ejpam-3998	123	42	∩	∩	NOUN
ejpam-3998	123	43	sw	sw	PROPN
ejpam-3998	123	44	for	for	ADP
ejpam-3998	123	45	all	all	DET
ejpam-3998	123	46	z	z	NOUN
ejpam-3998	123	47	∈	∈	PROPN
ejpam-3998	123	48	v	v	ADP
ejpam-3998	123	49	(	(	PUNCT
ejpam-3998	123	50	g	g	NOUN
ejpam-3998	123	51	)	)	PUNCT
ejpam-3998	123	52	\	\	PROPN
ejpam-3998	123	53	sw	sw	PROPN
ejpam-3998	123	54	.	.	PUNCT
ejpam-3998	124	1	thus	thus	ADV
ejpam-3998	124	2	,	,	PUNCT
ejpam-3998	124	3	sw	sw	PROPN
ejpam-3998	124	4	is	be	AUX
ejpam-3998	124	5	a	a	DET
ejpam-3998	124	6	strictly	strictly	ADV
ejpam-3998	124	7	locating	locate	VERB
ejpam-3998	124	8	-	-	PUNCT
ejpam-3998	124	9	dominating	dominating	NOUN
ejpam-3998	124	10	set	set	NOUN
ejpam-3998	124	11	in	in	ADP
ejpam-3998	124	12	g.	g.	PROPN
ejpam-3998	124	13	therefore	therefore	ADV
ejpam-3998	124	14	,	,	PUNCT
ejpam-3998	124	15	s	s	VERB
ejpam-3998	124	16	is	be	AUX
ejpam-3998	124	17	a	a	DET
ejpam-3998	124	18	stable	stable	ADJ
ejpam-3998	124	19	strictly	strictly	ADV
ejpam-3998	124	20	locating	locate	VERB
ejpam-3998	124	21	-	-	PUNCT
ejpam-3998	124	22	dominating	dominate	VERB
ejpam-3998	124	23	set	set	NOUN
ejpam-3998	124	24	of	of	ADP
ejpam-3998	124	25	g	g	NOUN
ejpam-3998	124	26	,	,	PUNCT
ejpam-3998	124	27	showing	show	VERB
ejpam-3998	124	28	that	that	SCONJ
ejpam-3998	124	29	(	(	PUNCT
ejpam-3998	124	30	ii	ii	NOUN
ejpam-3998	124	31	)	)	PUNCT
ejpam-3998	124	32	holds	hold	VERB
ejpam-3998	124	33	.	.	PUNCT
ejpam-3998	125	1	for	for	ADP
ejpam-3998	125	2	the	the	DET
ejpam-3998	125	3	converse	converse	NOUN
ejpam-3998	125	4	,	,	PUNCT
ejpam-3998	125	5	suppose	suppose	VERB
ejpam-3998	125	6	first	first	ADV
ejpam-3998	125	7	that	that	SCONJ
ejpam-3998	125	8	(	(	PUNCT
ejpam-3998	125	9	i	i	NOUN
ejpam-3998	125	10	)	)	PUNCT
ejpam-3998	125	11	holds	hold	VERB
ejpam-3998	125	12	.	.	PUNCT
ejpam-3998	126	1	since	since	SCONJ
ejpam-3998	126	2	sg	sg	PROPN
ejpam-3998	126	3	=	=	SYM
ejpam-3998	126	4	s	s	PART
ejpam-3998	126	5	\	\	X
ejpam-3998	126	6	{	{	PUNCT
ejpam-3998	126	7	v	v	NOUN
ejpam-3998	126	8	}	}	PUNCT
ejpam-3998	126	9	is	be	AUX
ejpam-3998	126	10	a	a	DET
ejpam-3998	126	11	strictly	strictly	ADV
ejpam-3998	126	12	locatingdominating	locatingdominating	NOUN
ejpam-3998	126	13	set	set	NOUN
ejpam-3998	126	14	of	of	ADP
ejpam-3998	126	15	g	g	NOUN
ejpam-3998	126	16	,	,	PUNCT
ejpam-3998	126	17	s	s	PART
ejpam-3998	126	18	is	be	AUX
ejpam-3998	126	19	a	a	DET
ejpam-3998	126	20	locating	locate	VERB
ejpam-3998	126	21	-	-	PUNCT
ejpam-3998	126	22	dominating	dominate	VERB
ejpam-3998	126	23	set	set	NOUN
ejpam-3998	126	24	of	of	ADP
ejpam-3998	126	25	h.	h.	PROPN
ejpam-3998	126	26	let	let	VERB
ejpam-3998	126	27	x	x	PUNCT
ejpam-3998	126	28	∈	∈	NOUN
ejpam-3998	126	29	s	s	PART
ejpam-3998	126	30	and	and	CCONJ
ejpam-3998	126	31	let	let	VERB
ejpam-3998	126	32	sx	sx	PROPN
ejpam-3998	126	33	=	=	SYM
ejpam-3998	126	34	s	s	PART
ejpam-3998	126	35	\	\	X
ejpam-3998	126	36	{	{	PUNCT
ejpam-3998	126	37	x	x	NOUN
ejpam-3998	126	38	}	}	PUNCT
ejpam-3998	126	39	.	.	PUNCT
ejpam-3998	127	1	if	if	SCONJ
ejpam-3998	127	2	x	x	X
ejpam-3998	127	3	=	=	SYM
ejpam-3998	127	4	v	v	NOUN
ejpam-3998	127	5	,	,	PUNCT
ejpam-3998	127	6	then	then	ADV
ejpam-3998	127	7	sx	sx	PROPN
ejpam-3998	127	8	=	=	PUNCT
ejpam-3998	127	9	sg	sg	PROPN
ejpam-3998	127	10	is	be	AUX
ejpam-3998	127	11	a	a	DET
ejpam-3998	127	12	strictly	strictly	ADV
ejpam-3998	127	13	locating	locate	VERB
ejpam-3998	127	14	-	-	PUNCT
ejpam-3998	127	15	dominating	dominate	VERB
ejpam-3998	127	16	set	set	NOUN
ejpam-3998	127	17	of	of	ADP
ejpam-3998	127	18	g	g	NOUN
ejpam-3998	127	19	by	by	ADP
ejpam-3998	127	20	assumption	assumption	NOUN
ejpam-3998	127	21	.	.	PUNCT
ejpam-3998	128	1	hence	hence	ADV
ejpam-3998	128	2	,	,	PUNCT
ejpam-3998	128	3	nh(a)∩sx	nh(a)∩sx	PROPN
ejpam-3998	128	4	=	=	SYM
ejpam-3998	128	5	ng(a)∩sx	ng(a)∩sx	NUM
ejpam-3998	128	6	6=	6=	NUM
ejpam-3998	128	7	ng(b)∩sw	ng(b)∩sw	NUM
ejpam-3998	128	8	=	=	SYM
ejpam-3998	128	9	nh(b)∩sx	nh(b)∩sx	PROPN
ejpam-3998	128	10	for	for	ADP
ejpam-3998	128	11	all	all	DET
ejpam-3998	128	12	a	a	PRON
ejpam-3998	128	13	,	,	PUNCT
ejpam-3998	128	14	b	b	X
ejpam-3998	128	15	∈	∈	PROPN
ejpam-3998	128	16	v	v	NOUN
ejpam-3998	128	17	(	(	PUNCT
ejpam-3998	128	18	h)\	h)\	NOUN
ejpam-3998	128	19	(	(	PUNCT
ejpam-3998	128	20	sx∪{v	sx∪{v	NOUN
ejpam-3998	128	21	}	}	PUNCT
ejpam-3998	128	22	)	)	PUNCT
ejpam-3998	128	23	with	with	ADP
ejpam-3998	128	24	a	a	DET
ejpam-3998	128	25	6=	6=	NUM
ejpam-3998	128	26	b	b	NOUN
ejpam-3998	128	27	,	,	PUNCT
ejpam-3998	128	28	and	and	CCONJ
ejpam-3998	128	29	nh(x)∩sx	nh(x)∩sx	NUM
ejpam-3998	128	30	=	=	SYM
ejpam-3998	128	31	sx	sx	PROPN
ejpam-3998	128	32	6=	6=	ADP
ejpam-3998	128	33	ng(d)∩sx	ng(d)∩sx	NUM
ejpam-3998	128	34	=	=	SYM
ejpam-3998	128	35	nh(d)∩sx	nh(d)∩sx	NUM
ejpam-3998	128	36	for	for	ADP
ejpam-3998	128	37	all	all	DET
ejpam-3998	128	38	d	d	PROPN
ejpam-3998	128	39	∈	∈	PROPN
ejpam-3998	128	40	v	v	NOUN
ejpam-3998	128	41	(	(	PUNCT
ejpam-3998	128	42	h)\(sx∪{v	h)\(sx∪{v	NOUN
ejpam-3998	128	43	}	}	PUNCT
ejpam-3998	128	44	)	)	PUNCT
ejpam-3998	128	45	.	.	PUNCT
ejpam-3998	129	1	this	this	PRON
ejpam-3998	129	2	implies	imply	VERB
ejpam-3998	129	3	that	that	SCONJ
ejpam-3998	129	4	sx	sx	PROPN
ejpam-3998	129	5	is	be	AUX
ejpam-3998	129	6	an	an	DET
ejpam-3998	129	7	locating	locate	VERB
ejpam-3998	129	8	-	-	PUNCT
ejpam-3998	129	9	dominating	dominate	VERB
ejpam-3998	129	10	set	set	NOUN
ejpam-3998	129	11	of	of	ADP
ejpam-3998	129	12	h.	h.	PROPN
ejpam-3998	129	13	suppose	suppose	VERB
ejpam-3998	129	14	x	x	X
ejpam-3998	129	15	6=	6=	ADP
ejpam-3998	129	16	v.	v.	ADP
ejpam-3998	129	17	then	then	ADV
ejpam-3998	129	18	x	x	PROPN
ejpam-3998	129	19	∈	∈	PROPN
ejpam-3998	129	20	sg	sg	PROPN
ejpam-3998	129	21	.	.	PUNCT
ejpam-3998	130	1	since	since	SCONJ
ejpam-3998	130	2	sg	sg	PROPN
ejpam-3998	130	3	is	be	AUX
ejpam-3998	130	4	an	an	DET
ejpam-3998	130	5	stable	stable	ADJ
ejpam-3998	130	6	locating	locating	NOUN
ejpam-3998	130	7	set	set	NOUN
ejpam-3998	130	8	of	of	ADP
ejpam-3998	130	9	g	g	PROPN
ejpam-3998	130	10	,	,	PUNCT
ejpam-3998	130	11	sx	sx	PROPN
ejpam-3998	130	12	g	g	NOUN
ejpam-3998	130	13	=	=	SYM
ejpam-3998	130	14	sg\{x	sg\{x	X
ejpam-3998	130	15	}	}	PUNCT
ejpam-3998	130	16	is	be	AUX
ejpam-3998	130	17	a	a	DET
ejpam-3998	130	18	locating	locating	NOUN
ejpam-3998	130	19	set	set	NOUN
ejpam-3998	130	20	of	of	ADP
ejpam-3998	130	21	g.	g.	PROPN
ejpam-3998	130	22	since	since	SCONJ
ejpam-3998	130	23	sx	sx	PROPN
ejpam-3998	130	24	=	=	PROPN
ejpam-3998	130	25	sx	sx	PROPN
ejpam-3998	130	26	g∪{v	g∪{v	PROPN
ejpam-3998	130	27	}	}	PUNCT
ejpam-3998	130	28	,	,	PUNCT
ejpam-3998	130	29	sx	sx	PROPN
ejpam-3998	130	30	is	be	AUX
ejpam-3998	130	31	a	a	DET
ejpam-3998	130	32	locating	locate	VERB
ejpam-3998	130	33	set	set	NOUN
ejpam-3998	130	34	of	of	ADP
ejpam-3998	130	35	h.	h.	PROPN
ejpam-3998	130	36	further	far	ADV
ejpam-3998	130	37	,	,	PUNCT
ejpam-3998	130	38	because	because	SCONJ
ejpam-3998	130	39	v	v	NUM
ejpam-3998	130	40	∈	∈	PROPN
ejpam-3998	130	41	sx	sx	PROPN
ejpam-3998	130	42	,	,	PUNCT
ejpam-3998	130	43	sx	sx	PROPN
ejpam-3998	130	44	is	be	AUX
ejpam-3998	130	45	a	a	DET
ejpam-3998	130	46	locating	locate	VERB
ejpam-3998	130	47	-	-	PUNCT
ejpam-3998	130	48	dominating	dominating	NOUN
ejpam-3998	130	49	set	set	NOUN
ejpam-3998	130	50	in	in	ADP
ejpam-3998	130	51	h.	h.	PROPN
ejpam-3998	130	52	therefore	therefore	ADV
ejpam-3998	130	53	,	,	PUNCT
ejpam-3998	130	54	s	s	VERB
ejpam-3998	130	55	is	be	AUX
ejpam-3998	130	56	a	a	DET
ejpam-3998	130	57	stable	stable	ADJ
ejpam-3998	130	58	locating	locating	NOUN
ejpam-3998	130	59	-dominating	-dominating	NOUN
ejpam-3998	130	60	set	set	NOUN
ejpam-3998	130	61	of	of	ADP
ejpam-3998	130	62	h.	h.	PROPN
ejpam-3998	130	63	next	next	ADV
ejpam-3998	130	64	,	,	PUNCT
ejpam-3998	130	65	suppose	suppose	VERB
ejpam-3998	130	66	that	that	SCONJ
ejpam-3998	130	67	(	(	PUNCT
ejpam-3998	130	68	ii	ii	NOUN
ejpam-3998	130	69	)	)	PUNCT
ejpam-3998	130	70	holds	hold	VERB
ejpam-3998	130	71	.	.	PUNCT
ejpam-3998	131	1	since	since	SCONJ
ejpam-3998	131	2	s	s	NOUN
ejpam-3998	131	3	is	be	AUX
ejpam-3998	131	4	strictly	strictly	ADV
ejpam-3998	131	5	locating	locate	VERB
ejpam-3998	131	6	-	-	PUNCT
ejpam-3998	131	7	dominating	dominating	NOUN
ejpam-3998	131	8	set	set	NOUN
ejpam-3998	131	9	in	in	ADP
ejpam-3998	131	10	g	g	PROPN
ejpam-3998	131	11	,	,	PUNCT
ejpam-3998	131	12	it	it	PRON
ejpam-3998	131	13	is	be	AUX
ejpam-3998	131	14	a	a	DET
ejpam-3998	131	15	locating	locate	VERB
ejpam-3998	131	16	-	-	PUNCT
ejpam-3998	131	17	dominating	dominate	VERB
ejpam-3998	131	18	set	set	NOUN
ejpam-3998	131	19	of	of	ADP
ejpam-3998	131	20	h.	h.	PROPN
ejpam-3998	131	21	let	let	VERB
ejpam-3998	131	22	z	z	PROPN
ejpam-3998	131	23	∈	∈	PROPN
ejpam-3998	131	24	s.	s.	PROPN
ejpam-3998	131	25	by	by	ADP
ejpam-3998	131	26	assumption	assumption	NOUN
ejpam-3998	131	27	,	,	PUNCT
ejpam-3998	131	28	sz	sz	PROPN
ejpam-3998	131	29	=	=	SYM
ejpam-3998	131	30	s	s	PART
ejpam-3998	131	31	\	\	X
ejpam-3998	131	32	{	{	PUNCT
ejpam-3998	131	33	z	z	NOUN
ejpam-3998	131	34	}	}	PUNCT
ejpam-3998	131	35	is	be	AUX
ejpam-3998	131	36	a	a	DET
ejpam-3998	131	37	strictly	strictly	ADV
ejpam-3998	131	38	locating	locate	VERB
ejpam-3998	131	39	-	-	PUNCT
ejpam-3998	131	40	dominating	dominate	VERB
ejpam-3998	131	41	set	set	NOUN
ejpam-3998	131	42	g.	g.	PROPN
ejpam-3998	131	43	therefore	therefore	ADV
ejpam-3998	131	44	,	,	PUNCT
ejpam-3998	131	45	sz	sz	PROPN
ejpam-3998	131	46	is	be	AUX
ejpam-3998	131	47	a	a	DET
ejpam-3998	131	48	locating	locate	VERB
ejpam-3998	131	49	-	-	PUNCT
ejpam-3998	131	50	dominating	dominate	VERB
ejpam-3998	131	51	set	set	NOUN
ejpam-3998	131	52	of	of	ADP
ejpam-3998	131	53	h.	h.	PROPN
ejpam-3998	131	54	this	this	PRON
ejpam-3998	131	55	shows	show	VERB
ejpam-3998	131	56	that	that	SCONJ
ejpam-3998	131	57	s	s	VERB
ejpam-3998	131	58	is	be	AUX
ejpam-3998	131	59	a	a	DET
ejpam-3998	131	60	stable	stable	ADJ
ejpam-3998	131	61	locating	locating	NOUN
ejpam-3998	131	62	-	-	PUNCT
ejpam-3998	131	63	dominating	dominate	VERB
ejpam-3998	131	64	set	set	NOUN
ejpam-3998	131	65	of	of	ADP
ejpam-3998	131	66	h.	h.	PROPN
ejpam-3998	131	67	corollary	corollary	PROPN
ejpam-3998	131	68	1	1	PROPN
ejpam-3998	131	69	.	.	PUNCT
ejpam-3998	132	1	let	let	VERB
ejpam-3998	132	2	g	g	PRON
ejpam-3998	132	3	be	be	AUX
ejpam-3998	132	4	a	a	DET
ejpam-3998	132	5	graph	graph	NOUN
ejpam-3998	132	6	without	without	ADP
ejpam-3998	132	7	isolated	isolated	ADJ
ejpam-3998	132	8	vertices	vertex	NOUN
ejpam-3998	132	9	.	.	PUNCT
ejpam-3998	133	1	then	then	ADV
ejpam-3998	133	2	γsl	γsl	VERB
ejpam-3998	133	3	(	(	PUNCT
ejpam-3998	133	4	k1	k1	NOUN
ejpam-3998	133	5	+	+	NOUN
ejpam-3998	133	6	g	g	NOUN
ejpam-3998	133	7	)	)	PUNCT
ejpam-3998	133	8	=	=	NOUN
ejpam-3998	133	9	{	{	PUNCT
ejpam-3998	133	10	ρ(g	ρ(g	ADV
ejpam-3998	133	11	)	)	PUNCT
ejpam-3998	133	12	,	,	PUNCT
ejpam-3998	133	13	if	if	SCONJ
ejpam-3998	133	14	ρ(g	ρ(g	NOUN
ejpam-3998	133	15	)	)	PUNCT
ejpam-3998	133	16	=	=	SYM
ejpam-3998	133	17	γssl(g	γssl(g	PROPN
ejpam-3998	133	18	)	)	PUNCT
ejpam-3998	133	19	ρ(g	ρ(g	ADP
ejpam-3998	133	20	)	)	PUNCT
ejpam-3998	134	1	+	+	CCONJ
ejpam-3998	134	2	1	1	NUM
ejpam-3998	134	3	,	,	PUNCT
ejpam-3998	134	4	if	if	SCONJ
ejpam-3998	134	5	ρ(g	ρ(g	NOUN
ejpam-3998	134	6	)	)	PUNCT
ejpam-3998	134	7	<	<	X
ejpam-3998	134	8	γssl(g	γssl(g	PROPN
ejpam-3998	134	9	)	)	PUNCT
ejpam-3998	134	10	,	,	PUNCT
ejpam-3998	134	11	where	where	SCONJ
ejpam-3998	134	12	ρ(g	ρ(g	ADP
ejpam-3998	134	13	)	)	PUNCT
ejpam-3998	135	1	=	=	SYM
ejpam-3998	135	2	min{|s|	min{|s|	NOUN
ejpam-3998	135	3	:	:	PUNCT
ejpam-3998	135	4	s	s	VERB
ejpam-3998	135	5	is	be	AUX
ejpam-3998	135	6	both	both	PRON
ejpam-3998	135	7	a	a	DET
ejpam-3998	135	8	strictly	strictly	ADV
ejpam-3998	135	9	locating	locate	VERB
ejpam-3998	135	10	-	-	PUNCT
ejpam-3998	135	11	dominating	dominating	NOUN
ejpam-3998	135	12	and	and	CCONJ
ejpam-3998	135	13	a	a	DET
ejpam-3998	135	14	stable	stable	ADJ
ejpam-3998	135	15	locating	locating	NOUN
ejpam-3998	135	16	set	set	NOUN
ejpam-3998	135	17	of	of	ADP
ejpam-3998	135	18	g	g	NOUN
ejpam-3998	135	19	}	}	PUNCT
ejpam-3998	135	20	.	.	PUNCT
ejpam-3998	136	1	proof	proof	NOUN
ejpam-3998	136	2	.	.	PUNCT
ejpam-3998	137	1	let	let	VERB
ejpam-3998	137	2	s	s	PRON
ejpam-3998	137	3	be	be	AUX
ejpam-3998	137	4	a	a	DET
ejpam-3998	137	5	γssl	γssl	NOUN
ejpam-3998	137	6	-	-	PUNCT
ejpam-3998	137	7	set	set	NOUN
ejpam-3998	137	8	of	of	ADP
ejpam-3998	137	9	g.	g.	PROPN
ejpam-3998	138	1	then	then	ADV
ejpam-3998	138	2	s	s	VERB
ejpam-3998	138	3	is	be	AUX
ejpam-3998	138	4	a	a	DET
ejpam-3998	138	5	strictly	strictly	ADV
ejpam-3998	138	6	locating	locate	VERB
ejpam-3998	138	7	-	-	PUNCT
ejpam-3998	138	8	dominating	dominate	VERB
ejpam-3998	138	9	set	set	NOUN
ejpam-3998	138	10	of	of	ADP
ejpam-3998	138	11	g.	g.	PROPN
ejpam-3998	138	12	in	in	ADP
ejpam-3998	138	13	particular	particular	ADJ
ejpam-3998	138	14	,	,	PUNCT
ejpam-3998	138	15	s	s	PART
ejpam-3998	138	16	is	be	AUX
ejpam-3998	138	17	a	a	DET
ejpam-3998	138	18	locating	locate	VERB
ejpam-3998	138	19	set	set	NOUN
ejpam-3998	138	20	of	of	ADP
ejpam-3998	138	21	g.	g.	PROPN
ejpam-3998	138	22	since	since	SCONJ
ejpam-3998	138	23	s	s	PROPN
ejpam-3998	138	24	is	be	AUX
ejpam-3998	138	25	a	a	DET
ejpam-3998	138	26	a	a	DET
ejpam-3998	138	27	stable	stable	ADJ
ejpam-3998	138	28	strictly	strictly	ADV
ejpam-3998	138	29	locating	locate	VERB
ejpam-3998	138	30	-	-	PUNCT
ejpam-3998	138	31	dominating	dominate	VERB
ejpam-3998	138	32	set	set	NOUN
ejpam-3998	138	33	of	of	ADP
ejpam-3998	138	34	g	g	PROPN
ejpam-3998	138	35	,	,	PUNCT
ejpam-3998	138	36	s	s	NOUN
ejpam-3998	138	37	\	\	X
ejpam-3998	138	38	{	{	PUNCT
ejpam-3998	138	39	z	z	NOUN
ejpam-3998	138	40	}	}	PUNCT
ejpam-3998	138	41	is	be	AUX
ejpam-3998	138	42	a	a	DET
ejpam-3998	138	43	strictly	strictly	ADV
ejpam-3998	138	44	locating	locate	VERB
ejpam-3998	138	45	-	-	PUNCT
ejpam-3998	138	46	dominating	dominate	VERB
ejpam-3998	138	47	set	set	NOUN
ejpam-3998	138	48	of	of	ADP
ejpam-3998	138	49	g	g	PROPN
ejpam-3998	138	50	for	for	ADP
ejpam-3998	138	51	each	each	DET
ejpam-3998	138	52	z	z	PROPN
ejpam-3998	138	53	∈	∈	PROPN
ejpam-3998	138	54	s.	s.	PROPN
ejpam-3998	138	55	this	this	PRON
ejpam-3998	138	56	implies	imply	VERB
ejpam-3998	138	57	that	that	SCONJ
ejpam-3998	138	58	s	s	VERB
ejpam-3998	138	59	\	\	X
ejpam-3998	138	60	{	{	PUNCT
ejpam-3998	138	61	z	z	NOUN
ejpam-3998	138	62	}	}	PUNCT
ejpam-3998	138	63	is	be	AUX
ejpam-3998	138	64	a	a	DET
ejpam-3998	138	65	locating	locating	NOUN
ejpam-3998	138	66	set	set	NOUN
ejpam-3998	138	67	of	of	ADP
ejpam-3998	138	68	g	g	NOUN
ejpam-3998	138	69	for	for	ADP
ejpam-3998	138	70	each	each	DET
ejpam-3998	138	71	z	z	PROPN
ejpam-3998	138	72	∈	∈	PROPN
ejpam-3998	138	73	s.	s.	PROPN
ejpam-3998	138	74	thus	thus	ADV
ejpam-3998	138	75	,	,	PUNCT
ejpam-3998	138	76	s	s	VERB
ejpam-3998	138	77	is	be	AUX
ejpam-3998	138	78	a	a	DET
ejpam-3998	138	79	stable	stable	ADJ
ejpam-3998	138	80	locating	locating	NOUN
ejpam-3998	138	81	set	set	NOUN
ejpam-3998	138	82	of	of	ADP
ejpam-3998	138	83	g	g	NOUN
ejpam-3998	138	84	,	,	PUNCT
ejpam-3998	138	85	showing	show	VERB
ejpam-3998	138	86	that	that	SCONJ
ejpam-3998	138	87	ρ(g	ρ(g	ADP
ejpam-3998	138	88	)	)	PUNCT
ejpam-3998	138	89	≤	≤	NUM
ejpam-3998	138	90	|s|	|s|	PROPN
ejpam-3998	138	91	=	=	SYM
ejpam-3998	138	92	γssl(g	γssl(g	PROPN
ejpam-3998	138	93	)	)	PUNCT
ejpam-3998	138	94	.	.	PUNCT
ejpam-3998	139	1	now	now	ADV
ejpam-3998	139	2	,	,	PUNCT
ejpam-3998	139	3	suppose	suppose	VERB
ejpam-3998	139	4	that	that	SCONJ
ejpam-3998	139	5	s0	s0	PROPN
ejpam-3998	139	6	is	be	AUX
ejpam-3998	139	7	a	a	DET
ejpam-3998	139	8	γsl	γsl	NOUN
ejpam-3998	139	9	-set	-set	PUNCT
ejpam-3998	139	10	of	of	ADP
ejpam-3998	139	11	k1	k1	PROPN
ejpam-3998	139	12	+	+	CCONJ
ejpam-3998	139	13	g.	g.	PROPN
ejpam-3998	139	14	suppose	suppose	VERB
ejpam-3998	139	15	that	that	SCONJ
ejpam-3998	139	16	ρ(g	ρ(g	ADP
ejpam-3998	139	17	)	)	PUNCT
ejpam-3998	139	18	=	=	SYM
ejpam-3998	139	19	γssl(g	γssl(g	PROPN
ejpam-3998	139	20	)	)	PUNCT
ejpam-3998	139	21	.	.	PUNCT
ejpam-3998	140	1	then	then	ADV
ejpam-3998	140	2	γssl(g	γssl(g	X
ejpam-3998	140	3	)	)	PUNCT
ejpam-3998	140	4	<	<	X
ejpam-3998	140	5	ρ(g	ρ(g	NOUN
ejpam-3998	140	6	)	)	PUNCT
ejpam-3998	140	7	+	+	CCONJ
ejpam-3998	140	8	1	1	X
ejpam-3998	140	9	.	.	PUNCT
ejpam-3998	140	10	by	by	ADP
ejpam-3998	140	11	theorem	theorem	NOUN
ejpam-3998	140	12	1	1	NUM
ejpam-3998	140	13	,	,	PUNCT
ejpam-3998	140	14	s0	s0	PROPN
ejpam-3998	140	15	must	must	AUX
ejpam-3998	140	16	be	be	AUX
ejpam-3998	140	17	a	a	DET
ejpam-3998	140	18	γssl	γssl	NOUN
ejpam-3998	140	19	-	-	PUNCT
ejpam-3998	140	20	set	set	NOUN
ejpam-3998	140	21	of	of	ADP
ejpam-3998	140	22	g.	g.	PROPN
ejpam-3998	140	23	hence	hence	ADV
ejpam-3998	140	24	,	,	PUNCT
ejpam-3998	140	25	γsl	γsl	VERB
ejpam-3998	140	26	(	(	PUNCT
ejpam-3998	140	27	k1	k1	NOUN
ejpam-3998	140	28	+	+	NOUN
ejpam-3998	140	29	g	g	NOUN
ejpam-3998	140	30	)	)	PUNCT
ejpam-3998	140	31	=	=	SYM
ejpam-3998	141	1	|s0|	|s0|	NOUN
ejpam-3998	141	2	=	=	SYM
ejpam-3998	141	3	γssl(g	γssl(g	PROPN
ejpam-3998	141	4	)	)	PUNCT
ejpam-3998	141	5	.	.	PUNCT
ejpam-3998	142	1	if	if	SCONJ
ejpam-3998	142	2	ρ(g	ρ(g	NOUN
ejpam-3998	142	3	)	)	PUNCT
ejpam-3998	142	4	<	<	X
ejpam-3998	142	5	γssl(g	γssl(g	PROPN
ejpam-3998	142	6	)	)	PUNCT
ejpam-3998	142	7	,	,	PUNCT
ejpam-3998	142	8	then	then	ADV
ejpam-3998	142	9	ρ(g)+1	ρ(g)+1	X
ejpam-3998	142	10	≤	≤	ADJ
ejpam-3998	142	11	γssl(g	γssl(g	PROPN
ejpam-3998	142	12	)	)	PUNCT
ejpam-3998	142	13	.	.	PUNCT
ejpam-3998	143	1	by	by	ADP
ejpam-3998	143	2	theorem	theorem	NOUN
ejpam-3998	143	3	1	1	NUM
ejpam-3998	143	4	,	,	PUNCT
ejpam-3998	143	5	v	v	NOUN
ejpam-3998	143	6	∈	∈	NOUN
ejpam-3998	143	7	s0	s0	NOUN
ejpam-3998	143	8	and	and	CCONJ
ejpam-3998	143	9	s0\{v	s0\{v	PROPN
ejpam-3998	143	10	}	}	PUNCT
ejpam-3998	143	11	must	must	AUX
ejpam-3998	143	12	be	be	AUX
ejpam-3998	143	13	both	both	CCONJ
ejpam-3998	143	14	a	a	DET
ejpam-3998	143	15	strictly	strictly	ADV
ejpam-3998	143	16	locating	locate	VERB
ejpam-3998	143	17	-	-	PUNCT
ejpam-3998	143	18	dominating	dominate	VERB
ejpam-3998	143	19	and	and	CCONJ
ejpam-3998	143	20	stable	stable	ADJ
ejpam-3998	143	21	locating	locating	NOUN
ejpam-3998	143	22	set	set	NOUN
ejpam-3998	143	23	of	of	ADP
ejpam-3998	143	24	g	g	PROPN
ejpam-3998	143	25	and	and	CCONJ
ejpam-3998	143	26	|s0	|s0	ADJ
ejpam-3998	143	27	\	\	PROPN
ejpam-3998	143	28	{	{	PUNCT
ejpam-3998	143	29	v}|	v}|	NOUN
ejpam-3998	143	30	=	=	PUNCT
ejpam-3998	143	31	ρ(g	ρ(g	NOUN
ejpam-3998	143	32	)	)	PUNCT
ejpam-3998	143	33	.	.	PUNCT
ejpam-3998	144	1	therefore	therefore	ADV
ejpam-3998	144	2	,	,	PUNCT
ejpam-3998	144	3	γsl	γsl	VERB
ejpam-3998	144	4	(	(	PUNCT
ejpam-3998	144	5	k1	k1	NOUN
ejpam-3998	144	6	+	+	NOUN
ejpam-3998	144	7	g	g	NOUN
ejpam-3998	144	8	)	)	PUNCT
ejpam-3998	144	9	=	=	SYM
ejpam-3998	144	10	|s0|	|s0|	NOUN
ejpam-3998	144	11	=	=	SYM
ejpam-3998	144	12	|s0	|s0	PROPN
ejpam-3998	144	13	\	\	PROPN
ejpam-3998	144	14	{	{	PUNCT
ejpam-3998	144	15	v}|+	v}|+	NOUN
ejpam-3998	144	16	1	1	NUM
ejpam-3998	144	17	=	=	SYM
ejpam-3998	144	18	ρ(g	ρ(g	NOUN
ejpam-3998	144	19	)	)	PUNCT
ejpam-3998	145	1	+	+	CCONJ
ejpam-3998	145	2	1	1	X
ejpam-3998	145	3	.	.	PUNCT
ejpam-3998	145	4	this	this	PRON
ejpam-3998	145	5	proves	prove	VERB
ejpam-3998	145	6	the	the	DET
ejpam-3998	145	7	assertion	assertion	NOUN
ejpam-3998	145	8	.	.	PUNCT
ejpam-3998	146	1	theorem	theorem	NOUN
ejpam-3998	146	2	2	2	NUM
ejpam-3998	146	3	.	.	PUNCT
ejpam-3998	147	1	let	let	VERB
ejpam-3998	147	2	g	g	NOUN
ejpam-3998	147	3	and	and	CCONJ
ejpam-3998	147	4	h	h	PROPN
ejpam-3998	147	5	be	be	VERB
ejpam-3998	147	6	non	non	ADJ
ejpam-3998	147	7	-	-	ADJ
ejpam-3998	147	8	trivial	trivial	ADJ
ejpam-3998	147	9	graphs	graph	NOUN
ejpam-3998	147	10	.	.	PUNCT
ejpam-3998	148	1	a	a	DET
ejpam-3998	148	2	set	set	NOUN
ejpam-3998	148	3	s	s	PART
ejpam-3998	148	4	is	be	AUX
ejpam-3998	148	5	a	a	DET
ejpam-3998	148	6	stable	stable	ADJ
ejpam-3998	148	7	locating	locating	NOUN
ejpam-3998	148	8	-	-	PUNCT
ejpam-3998	148	9	dominating	dominate	VERB
ejpam-3998	148	10	set	set	NOUN
ejpam-3998	148	11	of	of	ADP
ejpam-3998	148	12	g+h	g+h	PROPN
ejpam-3998	148	13	if	if	SCONJ
ejpam-3998	148	14	and	and	CCONJ
ejpam-3998	148	15	only	only	ADV
ejpam-3998	148	16	if	if	SCONJ
ejpam-3998	148	17	s	s	VERB
ejpam-3998	148	18	=	=	PUNCT
ejpam-3998	148	19	sg	sg	PART
ejpam-3998	148	20	∪	∪	NOUN
ejpam-3998	148	21	sh	sh	PROPN
ejpam-3998	148	22	and	and	CCONJ
ejpam-3998	148	23	sg	sg	PROPN
ejpam-3998	148	24	and	and	CCONJ
ejpam-3998	148	25	sh	sh	PROPN
ejpam-3998	148	26	are	be	AUX
ejpam-3998	148	27	stable	stable	ADJ
ejpam-3998	148	28	locating	locating	NOUN
ejpam-3998	148	29	sets	set	NOUN
ejpam-3998	148	30	of	of	ADP
ejpam-3998	148	31	g	g	PROPN
ejpam-3998	148	32	and	and	CCONJ
ejpam-3998	148	33	h	h	NOUN
ejpam-3998	148	34	,	,	PUNCT
ejpam-3998	148	35	respectively	respectively	ADV
ejpam-3998	148	36	,	,	PUNCT
ejpam-3998	148	37	and	and	CCONJ
ejpam-3998	148	38	at	at	ADV
ejpam-3998	148	39	least	least	ADJ
ejpam-3998	148	40	one	one	NUM
ejpam-3998	148	41	of	of	ADP
ejpam-3998	148	42	them	they	PRON
ejpam-3998	148	43	is	be	AUX
ejpam-3998	148	44	a	a	DET
ejpam-3998	148	45	stable	stable	ADJ
ejpam-3998	148	46	strictly	strictly	ADV
ejpam-3998	148	47	locating	locate	VERB
ejpam-3998	148	48	set	set	VERB
ejpam-3998	148	49	or	or	CCONJ
ejpam-3998	148	50	both	both	PRON
ejpam-3998	148	51	of	of	ADP
ejpam-3998	148	52	them	they	PRON
ejpam-3998	148	53	are	be	AUX
ejpam-3998	148	54	strictly	strictly	ADV
ejpam-3998	148	55	locating	locate	VERB
ejpam-3998	148	56	sets	set	NOUN
ejpam-3998	148	57	.	.	PUNCT
ejpam-3998	149	1	proof	proof	NOUN
ejpam-3998	149	2	.	.	PUNCT
ejpam-3998	150	1	suppose	suppose	VERB
ejpam-3998	150	2	s	s	NOUN
ejpam-3998	150	3	is	be	AUX
ejpam-3998	150	4	a	a	DET
ejpam-3998	150	5	stable	stable	ADJ
ejpam-3998	150	6	locating	locating	NOUN
ejpam-3998	150	7	-	-	PUNCT
ejpam-3998	150	8	dominating	dominate	VERB
ejpam-3998	150	9	set	set	NOUN
ejpam-3998	150	10	of	of	ADP
ejpam-3998	150	11	g	g	PROPN
ejpam-3998	150	12	+	+	CCONJ
ejpam-3998	150	13	h.	h.	PROPN
ejpam-3998	150	14	let	let	VERB
ejpam-3998	150	15	sg	sg	VERB
ejpam-3998	150	16	=	=	SYM
ejpam-3998	150	17	s	s	PART
ejpam-3998	150	18	∩	∩	ADJ
ejpam-3998	150	19	v	v	X
ejpam-3998	150	20	(	(	PUNCT
ejpam-3998	150	21	g	g	NOUN
ejpam-3998	150	22	)	)	PUNCT
ejpam-3998	150	23	and	and	CCONJ
ejpam-3998	150	24	sh	sh	INTJ
ejpam-3998	150	25	=	=	SYM
ejpam-3998	150	26	s	s	PROPN
ejpam-3998	150	27	∩	∩	ADJ
ejpam-3998	150	28	v	v	ADJ
ejpam-3998	150	29	(	(	PUNCT
ejpam-3998	150	30	h	h	NOUN
ejpam-3998	150	31	)	)	PUNCT
ejpam-3998	150	32	.	.	PUNCT
ejpam-3998	151	1	suppose	suppose	VERB
ejpam-3998	151	2	sg	sg	ADP
ejpam-3998	151	3	=	=	PUNCT
ejpam-3998	151	4	∅.	∅.	VERB
ejpam-3998	151	5	then	then	ADV
ejpam-3998	151	6	s	s	VERB
ejpam-3998	151	7	=	=	ADJ
ejpam-3998	151	8	sh	sh	INTJ
ejpam-3998	151	9	.	.	PUNCT
ejpam-3998	152	1	pick	pick	VERB
ejpam-3998	152	2	x	x	SYM
ejpam-3998	152	3	,	,	PUNCT
ejpam-3998	152	4	y	y	PROPN
ejpam-3998	152	5	∈	∈	PROPN
ejpam-3998	152	6	v	v	NOUN
ejpam-3998	152	7	(	(	PUNCT
ejpam-3998	152	8	g	g	NOUN
ejpam-3998	152	9	)	)	PUNCT
ejpam-3998	152	10	⊂	⊂	PROPN
ejpam-3998	152	11	v	v	X
ejpam-3998	152	12	(	(	PUNCT
ejpam-3998	152	13	g+h	g+h	PROPN
ejpam-3998	152	14	)	)	PUNCT
ejpam-3998	152	15	\	\	PUNCT
ejpam-3998	153	1	s	s	PART
ejpam-3998	153	2	with	with	ADP
ejpam-3998	153	3	x	x	SYM
ejpam-3998	153	4	6=	6=	PROPN
ejpam-3998	153	5	y	y	PROPN
ejpam-3998	153	6	(	(	PUNCT
ejpam-3998	153	7	these	these	DET
ejpam-3998	153	8	vertices	vertex	NOUN
ejpam-3998	153	9	exist	exist	VERB
ejpam-3998	153	10	because	because	SCONJ
ejpam-3998	153	11	g	g	PROPN
ejpam-3998	153	12	is	be	AUX
ejpam-3998	153	13	non	non	ADJ
ejpam-3998	153	14	-	-	ADJ
ejpam-3998	153	15	trivial	trivial	ADJ
ejpam-3998	153	16	)	)	PUNCT
ejpam-3998	153	17	.	.	PUNCT
ejpam-3998	154	1	then	then	ADV
ejpam-3998	154	2	ng+h(x	ng+h(x	PROPN
ejpam-3998	154	3	)	)	PUNCT
ejpam-3998	154	4	∩	∩	NOUN
ejpam-3998	154	5	s	s	PART
ejpam-3998	154	6	=	=	X
ejpam-3998	154	7	s	s	PART
ejpam-3998	154	8	=	=	SYM
ejpam-3998	154	9	ng+h(y	ng+h(y	NUM
ejpam-3998	154	10	)	)	PUNCT
ejpam-3998	154	11	∩	∩	NOUN
ejpam-3998	154	12	s	s	SYM
ejpam-3998	154	13	,	,	PUNCT
ejpam-3998	154	14	a	a	DET
ejpam-3998	154	15	contradiction	contradiction	NOUN
ejpam-3998	154	16	to	to	ADP
ejpam-3998	154	17	the	the	DET
ejpam-3998	154	18	fact	fact	NOUN
ejpam-3998	154	19	that	that	SCONJ
ejpam-3998	154	20	s	s	VERB
ejpam-3998	154	21	is	be	AUX
ejpam-3998	154	22	a	a	DET
ejpam-3998	154	23	locating	locating	NOUN
ejpam-3998	154	24	set	set	NOUN
ejpam-3998	154	25	.	.	PUNCT
ejpam-3998	155	1	therefore	therefore	ADV
ejpam-3998	155	2	,	,	PUNCT
ejpam-3998	155	3	sg	sg	PROPN
ejpam-3998	155	4	6=	6=	X
ejpam-3998	155	5	∅.	∅.	PROPN
ejpam-3998	155	6	e.	e.	PROPN
ejpam-3998	155	7	ahmad	ahmad	PROPN
ejpam-3998	155	8	,	,	PUNCT
ejpam-3998	155	9	g.	g.	PROPN
ejpam-3998	155	10	malacas	malacas	PROPN
ejpam-3998	155	11	,	,	PUNCT
ejpam-3998	155	12	s.	s.	PROPN
ejpam-3998	155	13	canoy	canoy	PROPN
ejpam-3998	155	14	,	,	PUNCT
ejpam-3998	155	15	jr	jr	PROPN
ejpam-3998	155	16	.	.	PROPN
ejpam-3998	155	17	/	/	SYM
ejpam-3998	155	18	eur	eur	PROPN
ejpam-3998	155	19	.	.	PUNCT
ejpam-3998	156	1	j.	j.	PROPN
ejpam-3998	156	2	pure	pure	PROPN
ejpam-3998	156	3	appl	appl	PROPN
ejpam-3998	156	4	.	.	PROPN
ejpam-3998	156	5	math	math	PROPN
ejpam-3998	156	6	,	,	PUNCT
ejpam-3998	156	7	14	14	NUM
ejpam-3998	156	8	(	(	PUNCT
ejpam-3998	156	9	3	3	NUM
ejpam-3998	156	10	)	)	PUNCT
ejpam-3998	156	11	(	(	PUNCT
ejpam-3998	156	12	2021	2021	NUM
ejpam-3998	156	13	)	)	PUNCT
ejpam-3998	156	14	,	,	PUNCT
ejpam-3998	156	15	638	638	NUM
ejpam-3998	156	16	-	-	SYM
ejpam-3998	156	17	649	649	NUM
ejpam-3998	156	18	643	643	NUM
ejpam-3998	156	19	similarly	similarly	ADV
ejpam-3998	156	20	,	,	PUNCT
ejpam-3998	156	21	sh	sh	PROPN
ejpam-3998	156	22	6=	6=	NOUN
ejpam-3998	156	23	∅.	∅.	ADP
ejpam-3998	156	24	now	now	ADV
ejpam-3998	156	25	,	,	PUNCT
ejpam-3998	156	26	let	let	VERB
ejpam-3998	156	27	a	a	PRON
ejpam-3998	156	28	,	,	PUNCT
ejpam-3998	156	29	b	b	PROPN
ejpam-3998	156	30	∈	∈	PROPN
ejpam-3998	156	31	v	v	NOUN
ejpam-3998	156	32	(	(	PUNCT
ejpam-3998	156	33	g	g	NOUN
ejpam-3998	156	34	)	)	PUNCT
ejpam-3998	156	35	\	\	NOUN
ejpam-3998	156	36	sg	sg	PROPN
ejpam-3998	156	37	with	with	ADP
ejpam-3998	156	38	a	a	DET
ejpam-3998	156	39	6=	6=	ADP
ejpam-3998	156	40	b.	b.	NOUN
ejpam-3998	156	41	since	since	SCONJ
ejpam-3998	156	42	s	s	PROPN
ejpam-3998	156	43	is	be	AUX
ejpam-3998	156	44	a	a	DET
ejpam-3998	156	45	locating	locate	VERB
ejpam-3998	156	46	set	set	NOUN
ejpam-3998	156	47	of	of	ADP
ejpam-3998	156	48	g+h	g+h	PROPN
ejpam-3998	156	49	,	,	PUNCT
ejpam-3998	157	1	[	[	X
ejpam-3998	157	2	ng(a)∩sg)]∪sh	ng(a)∩sg)]∪sh	NUM
ejpam-3998	157	3	=	=	SYM
ejpam-3998	157	4	ng+h(a)∩s	ng+h(a)∩s	PROPN
ejpam-3998	157	5	6=	6=	NUM
ejpam-3998	157	6	ng+h(b)∩s	ng+h(b)∩s	X
ejpam-3998	158	1	=	=	PUNCT
ejpam-3998	159	1	[	[	X
ejpam-3998	159	2	ng(b)∩sg)]∪sh	ng(b)∩sg)]∪sh	X
ejpam-3998	159	3	.	.	PUNCT
ejpam-3998	160	1	hence	hence	ADV
ejpam-3998	160	2	,	,	PUNCT
ejpam-3998	160	3	ng(a)∩sg	ng(a)∩sg	NUM
ejpam-3998	160	4	)	)	PUNCT
ejpam-3998	160	5	6=	6=	ADP
ejpam-3998	160	6	ng(b)∩sg	ng(b)∩sg	ADV
ejpam-3998	160	7	)	)	PUNCT
ejpam-3998	160	8	,	,	PUNCT
ejpam-3998	160	9	showing	show	VERB
ejpam-3998	160	10	that	that	SCONJ
ejpam-3998	160	11	sg	sg	PROPN
ejpam-3998	160	12	is	be	AUX
ejpam-3998	160	13	a	a	DET
ejpam-3998	160	14	locating	locating	NOUN
ejpam-3998	160	15	set	set	NOUN
ejpam-3998	160	16	of	of	ADP
ejpam-3998	160	17	g.	g.	PROPN
ejpam-3998	160	18	next	next	ADV
ejpam-3998	160	19	,	,	PUNCT
ejpam-3998	160	20	let	let	VERB
ejpam-3998	160	21	z	z	PROPN
ejpam-3998	160	22	∈	∈	PROPN
ejpam-3998	160	23	sg	sg	NOUN
ejpam-3998	160	24	and	and	CCONJ
ejpam-3998	160	25	let	let	VERB
ejpam-3998	160	26	sz	sz	PRON
ejpam-3998	160	27	g	g	NOUN
ejpam-3998	160	28	=	=	VERB
ejpam-3998	160	29	sg	sg	PROPN
ejpam-3998	160	30	\	\	PROPN
ejpam-3998	160	31	{	{	PUNCT
ejpam-3998	160	32	z	z	NOUN
ejpam-3998	160	33	}	}	PUNCT
ejpam-3998	160	34	.	.	PUNCT
ejpam-3998	161	1	since	since	SCONJ
ejpam-3998	161	2	s	s	PROPN
ejpam-3998	161	3	is	be	AUX
ejpam-3998	161	4	a	a	DET
ejpam-3998	161	5	stable	stable	ADJ
ejpam-3998	161	6	locating	locating	NOUN
ejpam-3998	161	7	-	-	PUNCT
ejpam-3998	161	8	dominating	dominate	VERB
ejpam-3998	161	9	set	set	NOUN
ejpam-3998	161	10	of	of	ADP
ejpam-3998	161	11	g+h	g+h	PROPN
ejpam-3998	161	12	,	,	PUNCT
ejpam-3998	161	13	sz	sz	PROPN
ejpam-3998	162	1	=	=	SYM
ejpam-3998	162	2	s	s	PART
ejpam-3998	162	3	\	\	X
ejpam-3998	162	4	{	{	PUNCT
ejpam-3998	162	5	z	z	NOUN
ejpam-3998	162	6	}	}	PUNCT
ejpam-3998	162	7	=	=	PUNCT
ejpam-3998	162	8	sz	sz	NOUN
ejpam-3998	162	9	g	g	PROPN
ejpam-3998	162	10	∪	∪	ADJ
ejpam-3998	162	11	sh	sh	PROPN
ejpam-3998	162	12	is	be	AUX
ejpam-3998	162	13	a	a	DET
ejpam-3998	162	14	locating	locating	NOUN
ejpam-3998	162	15	-	-	PUNCT
ejpam-3998	162	16	dominating	dominating	NOUN
ejpam-3998	162	17	in	in	ADP
ejpam-3998	162	18	g	g	PROPN
ejpam-3998	162	19	+	+	CCONJ
ejpam-3998	162	20	h.	h.	NOUN
ejpam-3998	163	1	it	it	PRON
ejpam-3998	163	2	follows	follow	VERB
ejpam-3998	163	3	that	that	SCONJ
ejpam-3998	163	4	for	for	ADP
ejpam-3998	163	5	any	any	DET
ejpam-3998	163	6	two	two	NUM
ejpam-3998	163	7	distinct	distinct	ADJ
ejpam-3998	163	8	vertices	vertex	NOUN
ejpam-3998	163	9	p	p	NOUN
ejpam-3998	163	10	,	,	PUNCT
ejpam-3998	163	11	q	q	PROPN
ejpam-3998	163	12	∈	∈	PROPN
ejpam-3998	163	13	v	v	NOUN
ejpam-3998	163	14	(	(	PUNCT
ejpam-3998	163	15	g)\sz	g)\sz	PROPN
ejpam-3998	163	16	g	g	NOUN
ejpam-3998	163	17	,	,	PUNCT
ejpam-3998	163	18	[	[	X
ejpam-3998	163	19	ng(p)∩sz	ng(p)∩sz	NUM
ejpam-3998	163	20	g]∪sh	g]∪sh	NOUN
ejpam-3998	163	21	=	=	PUNCT
ejpam-3998	163	22	ng+h(p)∩sz	ng+h(p)∩sz	PUNCT
ejpam-3998	163	23	6=	6=	ADP
ejpam-3998	163	24	ng+h(q)∩sz	ng+h(q)∩sz	ADV
ejpam-3998	163	25	=	=	PUNCT
ejpam-3998	164	1	[	[	X
ejpam-3998	164	2	ng(q)∩sz	ng(q)∩sz	NOUN
ejpam-3998	164	3	g)]∪sh	g)]∪sh	PROPN
ejpam-3998	164	4	.	.	PUNCT
ejpam-3998	165	1	this	this	PRON
ejpam-3998	165	2	implies	imply	VERB
ejpam-3998	165	3	that	that	SCONJ
ejpam-3998	165	4	ng(p	ng(p	VERB
ejpam-3998	165	5	)	)	PUNCT
ejpam-3998	165	6	∩	∩	NOUN
ejpam-3998	165	7	sz	sz	PROPN
ejpam-3998	165	8	g	g	PROPN
ejpam-3998	165	9	6=	6=	ADP
ejpam-3998	165	10	ng(q	ng(q	NOUN
ejpam-3998	165	11	)	)	PUNCT
ejpam-3998	165	12	∩	∩	PROPN
ejpam-3998	165	13	sz	sz	PROPN
ejpam-3998	165	14	g.	g.	PROPN
ejpam-3998	165	15	thus	thus	ADV
ejpam-3998	165	16	,	,	PUNCT
ejpam-3998	165	17	sz	sz	PROPN
ejpam-3998	165	18	g	g	PROPN
ejpam-3998	165	19	is	be	AUX
ejpam-3998	165	20	a	a	DET
ejpam-3998	165	21	locating	locating	NOUN
ejpam-3998	165	22	set	set	VERB
ejpam-3998	165	23	in	in	ADP
ejpam-3998	165	24	g	g	NOUN
ejpam-3998	165	25	,	,	PUNCT
ejpam-3998	165	26	showing	show	VERB
ejpam-3998	165	27	that	that	SCONJ
ejpam-3998	165	28	sg	sg	PROPN
ejpam-3998	165	29	is	be	AUX
ejpam-3998	165	30	a	a	DET
ejpam-3998	165	31	stable	stable	ADJ
ejpam-3998	165	32	locating	locating	NOUN
ejpam-3998	165	33	set	set	NOUN
ejpam-3998	165	34	of	of	ADP
ejpam-3998	165	35	g.	g.	PROPN
ejpam-3998	165	36	similarly	similarly	ADV
ejpam-3998	165	37	,	,	PUNCT
ejpam-3998	165	38	sh	sh	PROPN
ejpam-3998	165	39	is	be	AUX
ejpam-3998	165	40	a	a	DET
ejpam-3998	165	41	stable	stable	ADJ
ejpam-3998	165	42	locating	locating	NOUN
ejpam-3998	165	43	set	set	NOUN
ejpam-3998	165	44	of	of	ADP
ejpam-3998	165	45	h.	h.	PROPN
ejpam-3998	165	46	suppose	suppose	VERB
ejpam-3998	165	47	that	that	SCONJ
ejpam-3998	165	48	sg	sg	PROPN
ejpam-3998	165	49	and	and	CCONJ
ejpam-3998	165	50	sh	sh	PROPN
ejpam-3998	165	51	are	be	AUX
ejpam-3998	165	52	not	not	PART
ejpam-3998	165	53	stable	stable	ADJ
ejpam-3998	165	54	strictly	strictly	ADV
ejpam-3998	165	55	locating	locate	VERB
ejpam-3998	165	56	sets	set	NOUN
ejpam-3998	165	57	.	.	PUNCT
ejpam-3998	166	1	suppose	suppose	VERB
ejpam-3998	166	2	that	that	SCONJ
ejpam-3998	166	3	sg	sg	PROPN
ejpam-3998	166	4	is	be	AUX
ejpam-3998	166	5	not	not	PART
ejpam-3998	166	6	a	a	DET
ejpam-3998	166	7	strictly	strictly	ADV
ejpam-3998	166	8	locating	locate	VERB
ejpam-3998	166	9	set	set	NOUN
ejpam-3998	166	10	of	of	ADP
ejpam-3998	166	11	g.	g.	PROPN
ejpam-3998	166	12	then	then	ADV
ejpam-3998	166	13	there	there	PRON
ejpam-3998	166	14	exists	exist	VERB
ejpam-3998	166	15	v	v	ADP
ejpam-3998	166	16	∈	∈	PROPN
ejpam-3998	166	17	v	v	NOUN
ejpam-3998	166	18	(	(	PUNCT
ejpam-3998	166	19	g	g	NOUN
ejpam-3998	166	20	)	)	PUNCT
ejpam-3998	166	21	\	\	NOUN
ejpam-3998	166	22	sg	sg	ADP
ejpam-3998	166	23	such	such	ADJ
ejpam-3998	166	24	that	that	PRON
ejpam-3998	166	25	ng(v)∩	ng(v)∩	NOUN
ejpam-3998	166	26	sg	sg	PROPN
ejpam-3998	166	27	=	=	SYM
ejpam-3998	166	28	sg	sg	PROPN
ejpam-3998	166	29	.	.	PUNCT
ejpam-3998	166	30	suppose	suppose	VERB
ejpam-3998	166	31	sh	sh	PRON
ejpam-3998	166	32	is	be	AUX
ejpam-3998	166	33	not	not	PART
ejpam-3998	166	34	a	a	DET
ejpam-3998	166	35	strictly	strictly	ADV
ejpam-3998	166	36	locating	locate	VERB
ejpam-3998	166	37	set	set	NOUN
ejpam-3998	166	38	.	.	PUNCT
ejpam-3998	167	1	then	then	ADV
ejpam-3998	167	2	there	there	PRON
ejpam-3998	167	3	exists	exist	VERB
ejpam-3998	167	4	w	w	PROPN
ejpam-3998	167	5	∈	∈	PROPN
ejpam-3998	167	6	v	v	ADP
ejpam-3998	167	7	(	(	PUNCT
ejpam-3998	167	8	h	h	NOUN
ejpam-3998	167	9	)	)	PUNCT
ejpam-3998	167	10	\	\	PUNCT
ejpam-3998	168	1	sh	sh	INTJ
ejpam-3998	168	2	such	such	ADJ
ejpam-3998	168	3	that	that	PRON
ejpam-3998	168	4	nh(w	nh(w	ADJ
ejpam-3998	168	5	)	)	PUNCT
ejpam-3998	168	6	∩	∩	NOUN
ejpam-3998	168	7	sh	sh	PROPN
ejpam-3998	168	8	=	=	SYM
ejpam-3998	168	9	sh	sh	INTJ
ejpam-3998	168	10	.	.	PUNCT
ejpam-3998	169	1	consequently	consequently	ADV
ejpam-3998	169	2	,	,	PUNCT
ejpam-3998	169	3	ng+h(v	ng+h(v	NOUN
ejpam-3998	169	4	)	)	PUNCT
ejpam-3998	169	5	∩	∩	NOUN
ejpam-3998	169	6	s	s	PART
ejpam-3998	169	7	=	=	SYM
ejpam-3998	169	8	s	s	PART
ejpam-3998	169	9	=	=	PUNCT
ejpam-3998	169	10	ng+h(w	ng+h(w	PROPN
ejpam-3998	169	11	)	)	PUNCT
ejpam-3998	169	12	∩	∩	NOUN
ejpam-3998	169	13	s	s	SYM
ejpam-3998	169	14	,	,	PUNCT
ejpam-3998	169	15	contrary	contrary	ADJ
ejpam-3998	169	16	to	to	ADP
ejpam-3998	169	17	the	the	DET
ejpam-3998	169	18	fact	fact	NOUN
ejpam-3998	169	19	that	that	SCONJ
ejpam-3998	169	20	s	s	VERB
ejpam-3998	169	21	is	be	AUX
ejpam-3998	169	22	a	a	DET
ejpam-3998	169	23	locating	locating	NOUN
ejpam-3998	169	24	set	set	VERB
ejpam-3998	169	25	in	in	ADP
ejpam-3998	169	26	g+h	g+h	PROPN
ejpam-3998	169	27	.	.	PUNCT
ejpam-3998	170	1	thus	thus	ADV
ejpam-3998	170	2	,	,	PUNCT
ejpam-3998	170	3	sh	sh	PROPN
ejpam-3998	170	4	is	be	AUX
ejpam-3998	170	5	a	a	DET
ejpam-3998	170	6	strictly	strictly	ADV
ejpam-3998	170	7	locating	locate	VERB
ejpam-3998	170	8	set	set	NOUN
ejpam-3998	170	9	of	of	ADP
ejpam-3998	170	10	h.	h.	PROPN
ejpam-3998	170	11	now	now	ADV
ejpam-3998	170	12	,	,	PUNCT
ejpam-3998	170	13	let	let	VERB
ejpam-3998	170	14	y	y	PRON
ejpam-3998	170	15	∈	∈	PROPN
ejpam-3998	170	16	sh	sh	PROPN
ejpam-3998	170	17	and	and	CCONJ
ejpam-3998	170	18	set	set	VERB
ejpam-3998	170	19	sy	sy	INTJ
ejpam-3998	170	20	h	h	NOUN
ejpam-3998	170	21	=	=	PUNCT
ejpam-3998	170	22	sh	sh	PROPN
ejpam-3998	170	23	\	\	PROPN
ejpam-3998	170	24	{	{	PUNCT
ejpam-3998	170	25	y	y	NOUN
ejpam-3998	170	26	}	}	PUNCT
ejpam-3998	170	27	.	.	PUNCT
ejpam-3998	171	1	since	since	SCONJ
ejpam-3998	171	2	sh	sh	PROPN
ejpam-3998	171	3	is	be	AUX
ejpam-3998	171	4	a	a	DET
ejpam-3998	171	5	stable	stable	ADJ
ejpam-3998	171	6	locating	locating	NOUN
ejpam-3998	171	7	set	set	NOUN
ejpam-3998	171	8	of	of	ADP
ejpam-3998	171	9	h	h	NOUN
ejpam-3998	171	10	,	,	PUNCT
ejpam-3998	171	11	it	it	PRON
ejpam-3998	171	12	follows	follow	VERB
ejpam-3998	171	13	that	that	SCONJ
ejpam-3998	171	14	sy	sy	INTJ
ejpam-3998	171	15	h	h	NOUN
ejpam-3998	171	16	is	be	AUX
ejpam-3998	171	17	a	a	DET
ejpam-3998	171	18	locating	locate	VERB
ejpam-3998	171	19	set	set	NOUN
ejpam-3998	171	20	of	of	ADP
ejpam-3998	171	21	h.	h.	PROPN
ejpam-3998	171	22	from	from	ADP
ejpam-3998	171	23	the	the	DET
ejpam-3998	171	24	assumption	assumption	NOUN
ejpam-3998	171	25	that	that	SCONJ
ejpam-3998	171	26	s	s	VERB
ejpam-3998	171	27	is	be	AUX
ejpam-3998	171	28	a	a	DET
ejpam-3998	171	29	stable	stable	ADJ
ejpam-3998	171	30	locating	locating	NOUN
ejpam-3998	171	31	-	-	PUNCT
ejpam-3998	171	32	dominating	dominate	VERB
ejpam-3998	171	33	set	set	NOUN
ejpam-3998	171	34	of	of	ADP
ejpam-3998	171	35	g	g	PROPN
ejpam-3998	172	1	+	+	CCONJ
ejpam-3998	172	2	h	h	NOUN
ejpam-3998	172	3	,	,	PUNCT
ejpam-3998	172	4	the	the	DET
ejpam-3998	172	5	set	set	NOUN
ejpam-3998	172	6	sy	sy	NOUN
ejpam-3998	172	7	=	=	SYM
ejpam-3998	172	8	s	s	PART
ejpam-3998	172	9	\	\	X
ejpam-3998	172	10	{	{	PUNCT
ejpam-3998	172	11	y	y	NOUN
ejpam-3998	172	12	}	}	PUNCT
ejpam-3998	172	13	=	=	PUNCT
ejpam-3998	172	14	sg	sg	PROPN
ejpam-3998	172	15	∪	∪	NOUN
ejpam-3998	172	16	sy	sy	PROPN
ejpam-3998	172	17	h	h	NOUN
ejpam-3998	172	18	is	be	AUX
ejpam-3998	172	19	a	a	DET
ejpam-3998	172	20	locating	locating	NOUN
ejpam-3998	172	21	set	set	NOUN
ejpam-3998	172	22	of	of	ADP
ejpam-3998	172	23	g	g	PROPN
ejpam-3998	172	24	+	+	CCONJ
ejpam-3998	172	25	h.	h.	NOUN
ejpam-3998	172	26	this	this	PRON
ejpam-3998	172	27	implies	imply	VERB
ejpam-3998	172	28	that	that	SCONJ
ejpam-3998	172	29	[	[	X
ejpam-3998	172	30	ng(v	ng(v	NOUN
ejpam-3998	172	31	)	)	PUNCT
ejpam-3998	172	32	∩	∩	NOUN
ejpam-3998	172	33	sg	sg	ADP
ejpam-3998	172	34	]	]	PUNCT
ejpam-3998	172	35	∪	∪	PROPN
ejpam-3998	172	36	sy	sy	PROPN
ejpam-3998	172	37	h	h	NOUN
ejpam-3998	172	38	=	=	PRON
ejpam-3998	172	39	sg	sg	X
ejpam-3998	172	40	∪	∪	NOUN
ejpam-3998	172	41	sy	sy	PROPN
ejpam-3998	172	42	h	h	NOUN
ejpam-3998	172	43	=	=	PUNCT
ejpam-3998	172	44	ng+h(v	ng+h(v	NOUN
ejpam-3998	172	45	)	)	PUNCT
ejpam-3998	172	46	∩	∩	PROPN
ejpam-3998	172	47	sy	sy	PROPN
ejpam-3998	172	48	6=	6=	NUM
ejpam-3998	172	49	ng+h(u	ng+h(u	PROPN
ejpam-3998	172	50	)	)	PUNCT
ejpam-3998	172	51	∩	∩	NOUN
ejpam-3998	172	52	sy	sy	NOUN
ejpam-3998	172	53	=	=	PUNCT
ejpam-3998	172	54	sg	sg	X
ejpam-3998	172	55	∪	∪	ADP
ejpam-3998	172	56	[	[	X
ejpam-3998	172	57	nh(u	nh(u	X
ejpam-3998	172	58	)	)	PUNCT
ejpam-3998	172	59	∩	∩	PROPN
ejpam-3998	172	60	sy	sy	PROPN
ejpam-3998	172	61	h	h	NOUN
ejpam-3998	172	62	)	)	PUNCT
ejpam-3998	172	63	]	]	PUNCT
ejpam-3998	172	64	for	for	ADP
ejpam-3998	172	65	all	all	DET
ejpam-3998	172	66	u	u	PROPN
ejpam-3998	172	67	∈	∈	PROPN
ejpam-3998	172	68	v	v	ADP
ejpam-3998	172	69	(	(	PUNCT
ejpam-3998	172	70	h	h	NOUN
ejpam-3998	172	71	)	)	PUNCT
ejpam-3998	172	72	\	\	PROPN
ejpam-3998	172	73	sy	sy	PROPN
ejpam-3998	172	74	h	h	NOUN
ejpam-3998	172	75	.	.	PUNCT
ejpam-3998	173	1	hence	hence	ADV
ejpam-3998	173	2	,	,	PUNCT
ejpam-3998	173	3	nh(u	nh(u	NOUN
ejpam-3998	173	4	)	)	PUNCT
ejpam-3998	173	5	∩	∩	PROPN
ejpam-3998	173	6	sy	sy	PROPN
ejpam-3998	173	7	h	h	NOUN
ejpam-3998	173	8	)	)	PUNCT
ejpam-3998	173	9	6=	6=	ADP
ejpam-3998	173	10	sy	sy	PROPN
ejpam-3998	173	11	h	h	NOUN
ejpam-3998	173	12	for	for	ADP
ejpam-3998	173	13	all	all	DET
ejpam-3998	173	14	u	u	PROPN
ejpam-3998	173	15	∈	∈	PROPN
ejpam-3998	173	16	v	v	ADP
ejpam-3998	173	17	(	(	PUNCT
ejpam-3998	173	18	h	h	NOUN
ejpam-3998	173	19	)	)	PUNCT
ejpam-3998	173	20	\	\	PROPN
ejpam-3998	174	1	sy	sy	PROPN
ejpam-3998	174	2	h	h	NOUN
ejpam-3998	174	3	.	.	PUNCT
ejpam-3998	175	1	this	this	PRON
ejpam-3998	175	2	shows	show	VERB
ejpam-3998	175	3	that	that	SCONJ
ejpam-3998	175	4	sy	sy	INTJ
ejpam-3998	175	5	h	h	NOUN
ejpam-3998	175	6	is	be	AUX
ejpam-3998	175	7	a	a	DET
ejpam-3998	175	8	strictly	strictly	ADV
ejpam-3998	175	9	locating	locate	VERB
ejpam-3998	175	10	set	set	NOUN
ejpam-3998	175	11	of	of	ADP
ejpam-3998	175	12	h.	h.	PROPN
ejpam-3998	175	13	therefore	therefore	ADV
ejpam-3998	175	14	,	,	PUNCT
ejpam-3998	175	15	sh	sh	PROPN
ejpam-3998	175	16	is	be	AUX
ejpam-3998	175	17	a	a	DET
ejpam-3998	175	18	stable	stable	ADJ
ejpam-3998	175	19	strictly	strictly	ADV
ejpam-3998	175	20	locating	locate	VERB
ejpam-3998	175	21	set	set	NOUN
ejpam-3998	175	22	of	of	ADP
ejpam-3998	175	23	h	h	NOUN
ejpam-3998	175	24	,	,	PUNCT
ejpam-3998	175	25	a	a	DET
ejpam-3998	175	26	contradiction	contradiction	NOUN
ejpam-3998	175	27	.	.	PUNCT
ejpam-3998	176	1	therefore	therefore	ADV
ejpam-3998	176	2	,	,	PUNCT
ejpam-3998	176	3	sg	sg	PROPN
ejpam-3998	176	4	is	be	AUX
ejpam-3998	176	5	a	a	DET
ejpam-3998	176	6	strictly	strictly	ADV
ejpam-3998	176	7	locating	locate	VERB
ejpam-3998	176	8	set	set	NOUN
ejpam-3998	176	9	of	of	ADP
ejpam-3998	176	10	g.	g.	PROPN
ejpam-3998	176	11	similarly	similarly	ADV
ejpam-3998	176	12	,	,	PUNCT
ejpam-3998	176	13	sh	sh	PROPN
ejpam-3998	176	14	is	be	AUX
ejpam-3998	176	15	a	a	DET
ejpam-3998	176	16	strictly	strictly	ADV
ejpam-3998	176	17	locating	locate	VERB
ejpam-3998	176	18	set	set	NOUN
ejpam-3998	176	19	of	of	ADP
ejpam-3998	176	20	h.	h.	NOUN
ejpam-3998	176	21	conversely	conversely	ADV
ejpam-3998	176	22	,	,	PUNCT
ejpam-3998	176	23	suppose	suppose	VERB
ejpam-3998	176	24	that	that	SCONJ
ejpam-3998	176	25	s	s	VERB
ejpam-3998	176	26	=	=	PUNCT
ejpam-3998	176	27	sg∪sh	sg∪sh	PROPN
ejpam-3998	176	28	and	and	CCONJ
ejpam-3998	176	29	sg	sg	PROPN
ejpam-3998	176	30	and	and	CCONJ
ejpam-3998	176	31	sh	sh	PROPN
ejpam-3998	176	32	are	be	AUX
ejpam-3998	176	33	stable	stable	ADJ
ejpam-3998	176	34	locating	locating	NOUN
ejpam-3998	176	35	sets	set	NOUN
ejpam-3998	176	36	of	of	ADP
ejpam-3998	176	37	g	g	PROPN
ejpam-3998	176	38	and	and	CCONJ
ejpam-3998	176	39	h	h	NOUN
ejpam-3998	176	40	,	,	PUNCT
ejpam-3998	176	41	respectively	respectively	ADV
ejpam-3998	176	42	,	,	PUNCT
ejpam-3998	176	43	such	such	ADJ
ejpam-3998	176	44	that	that	SCONJ
ejpam-3998	176	45	at	at	ADV
ejpam-3998	176	46	least	least	ADJ
ejpam-3998	176	47	one	one	NUM
ejpam-3998	176	48	of	of	ADP
ejpam-3998	176	49	them	they	PRON
ejpam-3998	176	50	is	be	AUX
ejpam-3998	176	51	a	a	DET
ejpam-3998	176	52	stable	stable	ADJ
ejpam-3998	176	53	strictly	strictly	ADV
ejpam-3998	176	54	locating	locate	VERB
ejpam-3998	176	55	set	set	VERB
ejpam-3998	176	56	or	or	CCONJ
ejpam-3998	176	57	both	both	PRON
ejpam-3998	176	58	of	of	ADP
ejpam-3998	176	59	them	they	PRON
ejpam-3998	176	60	are	be	AUX
ejpam-3998	176	61	strictly	strictly	ADV
ejpam-3998	176	62	locating	locate	VERB
ejpam-3998	176	63	sets	set	NOUN
ejpam-3998	176	64	.	.	PUNCT
ejpam-3998	177	1	then	then	ADV
ejpam-3998	177	2	s	s	VERB
ejpam-3998	177	3	is	be	AUX
ejpam-3998	177	4	a	a	DET
ejpam-3998	177	5	dominating	dominating	NOUN
ejpam-3998	177	6	set	set	NOUN
ejpam-3998	177	7	of	of	ADP
ejpam-3998	177	8	g+h	g+h	PROPN
ejpam-3998	177	9	.	.	PUNCT
ejpam-3998	178	1	suppose	suppose	VERB
ejpam-3998	178	2	first	first	ADV
ejpam-3998	178	3	that	that	SCONJ
ejpam-3998	178	4	one	one	NUM
ejpam-3998	178	5	of	of	ADP
ejpam-3998	178	6	sg	sg	NOUN
ejpam-3998	178	7	or	or	CCONJ
ejpam-3998	178	8	sh	sh	INTJ
ejpam-3998	178	9	,	,	PUNCT
ejpam-3998	178	10	say	say	VERB
ejpam-3998	178	11	sg	sg	PROPN
ejpam-3998	178	12	is	be	AUX
ejpam-3998	178	13	a	a	DET
ejpam-3998	178	14	stable	stable	ADJ
ejpam-3998	178	15	strictly	strictly	ADV
ejpam-3998	178	16	locating	locate	VERB
ejpam-3998	178	17	set	set	NOUN
ejpam-3998	178	18	.	.	PUNCT
ejpam-3998	179	1	let	let	VERB
ejpam-3998	179	2	a	a	DET
ejpam-3998	179	3	,	,	PUNCT
ejpam-3998	179	4	b	b	PROPN
ejpam-3998	179	5	∈	∈	PROPN
ejpam-3998	179	6	v	v	NOUN
ejpam-3998	179	7	(	(	PUNCT
ejpam-3998	179	8	g+h	g+h	NOUN
ejpam-3998	179	9	)	)	PUNCT
ejpam-3998	179	10	\s	\	VERB
ejpam-3998	179	11	where	where	SCONJ
ejpam-3998	179	12	a	a	DET
ejpam-3998	179	13	6=	6=	NUM
ejpam-3998	179	14	b.	b.	PROPN
ejpam-3998	179	15	since	since	SCONJ
ejpam-3998	179	16	sg	sg	PROPN
ejpam-3998	179	17	and	and	CCONJ
ejpam-3998	179	18	sh	sh	PROPN
ejpam-3998	179	19	are	be	AUX
ejpam-3998	179	20	locating	locate	VERB
ejpam-3998	179	21	sets	set	NOUN
ejpam-3998	179	22	,	,	PUNCT
ejpam-3998	179	23	ng+h(a	ng+h(a	NOUN
ejpam-3998	179	24	)	)	PUNCT
ejpam-3998	179	25	∩	∩	X
ejpam-3998	179	26	s	s	PART
ejpam-3998	179	27	6=	6=	PROPN
ejpam-3998	179	28	ng+h(b	ng+h(b	ADJ
ejpam-3998	179	29	)	)	PUNCT
ejpam-3998	179	30	∩	∩	NOUN
ejpam-3998	179	31	s	s	VERB
ejpam-3998	179	32	if	if	SCONJ
ejpam-3998	179	33	a	a	DET
ejpam-3998	179	34	,	,	PUNCT
ejpam-3998	179	35	b	b	PROPN
ejpam-3998	179	36	∈	∈	PROPN
ejpam-3998	179	37	v	v	NOUN
ejpam-3998	179	38	(	(	PUNCT
ejpam-3998	179	39	g	g	NOUN
ejpam-3998	179	40	)	)	PUNCT
ejpam-3998	179	41	\	\	PROPN
ejpam-3998	179	42	sg	sg	NOUN
ejpam-3998	179	43	or	or	CCONJ
ejpam-3998	179	44	a	a	DET
ejpam-3998	179	45	,	,	PUNCT
ejpam-3998	179	46	b	b	PROPN
ejpam-3998	179	47	∈	∈	PROPN
ejpam-3998	179	48	v	v	NOUN
ejpam-3998	179	49	(	(	PUNCT
ejpam-3998	179	50	h)\sh	h)\sh	PROPN
ejpam-3998	179	51	.	.	PUNCT
ejpam-3998	180	1	suppose	suppose	VERB
ejpam-3998	180	2	a	a	DET
ejpam-3998	180	3	∈	∈	PROPN
ejpam-3998	180	4	v	v	NOUN
ejpam-3998	180	5	(	(	PUNCT
ejpam-3998	180	6	g)\sg	g)\sg	PROPN
ejpam-3998	180	7	and	and	CCONJ
ejpam-3998	180	8	b	b	NOUN
ejpam-3998	180	9	∈	∈	NOUN
ejpam-3998	180	10	v	v	NOUN
ejpam-3998	180	11	(	(	PUNCT
ejpam-3998	180	12	h)\sh	h)\sh	PROPN
ejpam-3998	180	13	.	.	PUNCT
ejpam-3998	181	1	since	since	SCONJ
ejpam-3998	181	2	sg	sg	PROPN
ejpam-3998	181	3	is	be	AUX
ejpam-3998	181	4	strictly	strictly	ADV
ejpam-3998	181	5	locating	locate	VERB
ejpam-3998	181	6	,	,	PUNCT
ejpam-3998	181	7	ng(a	ng(a	X
ejpam-3998	181	8	)	)	PUNCT
ejpam-3998	181	9	∩	∩	PROPN
ejpam-3998	181	10	sg	sg	ADP
ejpam-3998	181	11	6=	6=	PROPN
ejpam-3998	181	12	sg	sg	PROPN
ejpam-3998	181	13	.	.	PUNCT
ejpam-3998	182	1	hence	hence	ADV
ejpam-3998	182	2	,	,	PUNCT
ejpam-3998	182	3	ng+h(a	ng+h(a	NOUN
ejpam-3998	182	4	)	)	PUNCT
ejpam-3998	182	5	∩	∩	NOUN
ejpam-3998	182	6	s	s	PART
ejpam-3998	182	7	=	=	PUNCT
ejpam-3998	182	8	[	[	NOUN
ejpam-3998	182	9	ng(a	ng(a	X
ejpam-3998	182	10	)	)	PUNCT
ejpam-3998	182	11	∩	∩	NOUN
ejpam-3998	182	12	sg	sg	ADP
ejpam-3998	182	13	]	]	PUNCT
ejpam-3998	182	14	∪	∪	ADP
ejpam-3998	182	15	sh	sh	PROPN
ejpam-3998	182	16	6=	6=	ADP
ejpam-3998	182	17	sg	sg	ADP
ejpam-3998	182	18	∪	∪	ADP
ejpam-3998	182	19	[	[	X
ejpam-3998	182	20	nh(b	nh(b	ADJ
ejpam-3998	182	21	)	)	PUNCT
ejpam-3998	182	22	∩	∩	NOUN
ejpam-3998	182	23	sh	sh	X
ejpam-3998	182	24	]	]	PUNCT
ejpam-3998	182	25	=	=	SYM
ejpam-3998	182	26	ng+h(b)∩s	ng+h(b)∩s	PROPN
ejpam-3998	182	27	.	.	PUNCT
ejpam-3998	183	1	therefore	therefore	ADV
ejpam-3998	183	2	,	,	PUNCT
ejpam-3998	183	3	s	s	VERB
ejpam-3998	183	4	is	be	AUX
ejpam-3998	183	5	a	a	DET
ejpam-3998	183	6	locating	locate	VERB
ejpam-3998	183	7	set	set	NOUN
ejpam-3998	183	8	of	of	ADP
ejpam-3998	183	9	g+h	g+h	PROPN
ejpam-3998	183	10	.	.	PUNCT
ejpam-3998	184	1	next	next	ADV
ejpam-3998	184	2	,	,	PUNCT
ejpam-3998	184	3	let	let	VERB
ejpam-3998	184	4	w	w	PROPN
ejpam-3998	184	5	∈	∈	NOUN
ejpam-3998	184	6	s	s	PART
ejpam-3998	184	7	and	and	CCONJ
ejpam-3998	184	8	let	let	VERB
ejpam-3998	184	9	sw	sw	NOUN
ejpam-3998	184	10	=	=	SYM
ejpam-3998	184	11	s\{w	s\{w	PROPN
ejpam-3998	184	12	}	}	PUNCT
ejpam-3998	184	13	.	.	PUNCT
ejpam-3998	185	1	suppose	suppose	VERB
ejpam-3998	185	2	w	w	X
ejpam-3998	185	3	∈	∈	PROPN
ejpam-3998	185	4	sg	sg	ADV
ejpam-3998	185	5	and	and	CCONJ
ejpam-3998	185	6	let	let	VERB
ejpam-3998	185	7	sw	sw	PROPN
ejpam-3998	185	8	g	g	NOUN
ejpam-3998	185	9	=	=	PUNCT
ejpam-3998	185	10	sg	sg	PROPN
ejpam-3998	185	11	\	\	PROPN
ejpam-3998	185	12	{	{	PUNCT
ejpam-3998	185	13	w	w	NOUN
ejpam-3998	185	14	}	}	PUNCT
ejpam-3998	185	15	.	.	PUNCT
ejpam-3998	186	1	then	then	ADV
ejpam-3998	186	2	sw	sw	PROPN
ejpam-3998	186	3	g	g	PROPN
ejpam-3998	186	4	is	be	AUX
ejpam-3998	186	5	strictly	strictly	ADV
ejpam-3998	186	6	locating	locate	VERB
ejpam-3998	186	7	set	set	VERB
ejpam-3998	186	8	because	because	SCONJ
ejpam-3998	186	9	sg	sg	PROPN
ejpam-3998	186	10	is	be	AUX
ejpam-3998	186	11	a	a	DET
ejpam-3998	186	12	stable	stable	ADJ
ejpam-3998	186	13	strictly	strictly	ADV
ejpam-3998	186	14	locating	locate	VERB
ejpam-3998	186	15	set	set	NOUN
ejpam-3998	186	16	of	of	ADP
ejpam-3998	186	17	g.	g.	PROPN
ejpam-3998	186	18	following	follow	VERB
ejpam-3998	186	19	an	an	DET
ejpam-3998	186	20	earlier	early	ADJ
ejpam-3998	186	21	argument	argument	NOUN
ejpam-3998	186	22	,	,	PUNCT
ejpam-3998	186	23	we	we	PRON
ejpam-3998	186	24	find	find	VERB
ejpam-3998	186	25	that	that	SCONJ
ejpam-3998	186	26	sw	sw	PROPN
ejpam-3998	186	27	=	=	SYM
ejpam-3998	186	28	sw	sw	PROPN
ejpam-3998	186	29	g∪sh	g∪sh	X
ejpam-3998	186	30	is	be	AUX
ejpam-3998	186	31	a	a	DET
ejpam-3998	186	32	locating	locate	VERB
ejpam-3998	186	33	-	-	PUNCT
ejpam-3998	186	34	dominating	dominate	VERB
ejpam-3998	186	35	set	set	NOUN
ejpam-3998	186	36	of	of	ADP
ejpam-3998	186	37	g+h	g+h	PROPN
ejpam-3998	186	38	.	.	PUNCT
ejpam-3998	187	1	if	if	SCONJ
ejpam-3998	187	2	w	w	PROPN
ejpam-3998	187	3	∈	∈	PROPN
ejpam-3998	187	4	sh	sh	INTJ
ejpam-3998	187	5	,	,	PUNCT
ejpam-3998	187	6	then	then	ADV
ejpam-3998	187	7	sw	sw	PROPN
ejpam-3998	187	8	=	=	SYM
ejpam-3998	187	9	s	s	PART
ejpam-3998	187	10	\	\	X
ejpam-3998	187	11	{	{	PUNCT
ejpam-3998	187	12	w	w	NOUN
ejpam-3998	187	13	}	}	PUNCT
ejpam-3998	187	14	=	=	PUNCT
ejpam-3998	187	15	sg	sg	NOUN
ejpam-3998	187	16	∪	∪	PROPN
ejpam-3998	187	17	sw	sw	PROPN
ejpam-3998	187	18	h	h	PROPN
ejpam-3998	187	19	,	,	PUNCT
ejpam-3998	187	20	where	where	SCONJ
ejpam-3998	187	21	sw	sw	PROPN
ejpam-3998	187	22	h	h	PROPN
ejpam-3998	187	23	=	=	PUNCT
ejpam-3998	187	24	sh	sh	PROPN
ejpam-3998	187	25	\	\	PROPN
ejpam-3998	187	26	{	{	PUNCT
ejpam-3998	187	27	w	w	NOUN
ejpam-3998	187	28	}	}	PUNCT
ejpam-3998	187	29	is	be	AUX
ejpam-3998	187	30	a	a	DET
ejpam-3998	187	31	locating	locating	NOUN
ejpam-3998	187	32	set	set	NOUN
ejpam-3998	187	33	of	of	ADP
ejpam-3998	187	34	h	h	NOUN
ejpam-3998	187	35	by	by	ADP
ejpam-3998	187	36	an	an	DET
ejpam-3998	187	37	assumption	assumption	NOUN
ejpam-3998	187	38	.	.	PUNCT
ejpam-3998	188	1	these	these	PRON
ejpam-3998	188	2	and	and	CCONJ
ejpam-3998	188	3	the	the	DET
ejpam-3998	188	4	fact	fact	NOUN
ejpam-3998	188	5	that	that	SCONJ
ejpam-3998	188	6	sg	sg	PROPN
ejpam-3998	188	7	is	be	AUX
ejpam-3998	188	8	strictly	strictly	ADV
ejpam-3998	188	9	locating	locate	VERB
ejpam-3998	188	10	will	will	AUX
ejpam-3998	188	11	imply	imply	VERB
ejpam-3998	188	12	that	that	SCONJ
ejpam-3998	188	13	sw	sw	PROPN
ejpam-3998	188	14	is	be	AUX
ejpam-3998	188	15	a	a	DET
ejpam-3998	188	16	locating	locate	VERB
ejpam-3998	188	17	-	-	PUNCT
ejpam-3998	188	18	dominating	dominate	VERB
ejpam-3998	188	19	set	set	NOUN
ejpam-3998	188	20	of	of	ADP
ejpam-3998	188	21	g+h	g+h	PROPN
ejpam-3998	188	22	.	.	PUNCT
ejpam-3998	189	1	therefore	therefore	ADV
ejpam-3998	189	2	,	,	PUNCT
ejpam-3998	189	3	s	s	VERB
ejpam-3998	189	4	is	be	AUX
ejpam-3998	189	5	a	a	DET
ejpam-3998	189	6	stable	stable	ADJ
ejpam-3998	189	7	locating	locating	NOUN
ejpam-3998	189	8	-	-	PUNCT
ejpam-3998	189	9	dominating	dominate	VERB
ejpam-3998	189	10	set	set	NOUN
ejpam-3998	189	11	of	of	ADP
ejpam-3998	189	12	g.	g.	PROPN
ejpam-3998	189	13	next	next	ADV
ejpam-3998	189	14	,	,	PUNCT
ejpam-3998	189	15	suppose	suppose	VERB
ejpam-3998	189	16	that	that	SCONJ
ejpam-3998	189	17	sg	sg	PROPN
ejpam-3998	189	18	and	and	CCONJ
ejpam-3998	189	19	sh	sh	PROPN
ejpam-3998	189	20	are	be	AUX
ejpam-3998	189	21	both	both	PRON
ejpam-3998	189	22	strictly	strictly	ADV
ejpam-3998	189	23	locating	locate	VERB
ejpam-3998	189	24	sets	set	NOUN
ejpam-3998	189	25	.	.	PUNCT
ejpam-3998	190	1	then	then	ADV
ejpam-3998	190	2	s	s	VERB
ejpam-3998	190	3	is	be	AUX
ejpam-3998	190	4	a	a	DET
ejpam-3998	190	5	locatingdominating	locatingdominating	NOUN
ejpam-3998	190	6	set	set	NOUN
ejpam-3998	190	7	of	of	ADP
ejpam-3998	190	8	g	g	PROPN
ejpam-3998	190	9	+	+	CCONJ
ejpam-3998	190	10	h.	h.	PROPN
ejpam-3998	190	11	let	let	AUX
ejpam-3998	190	12	let	let	VERB
ejpam-3998	190	13	v	v	AUX
ejpam-3998	190	14	∈	∈	PROPN
ejpam-3998	190	15	s.	s.	PROPN
ejpam-3998	190	16	suppose	suppose	VERB
ejpam-3998	190	17	that	that	SCONJ
ejpam-3998	190	18	v	v	X
ejpam-3998	190	19	∈	∈	PROPN
ejpam-3998	190	20	sg	sg	ADV
ejpam-3998	190	21	and	and	CCONJ
ejpam-3998	190	22	let	let	VERB
ejpam-3998	190	23	sv	sv	VERB
ejpam-3998	190	24	=	=	SYM
ejpam-3998	190	25	s	s	PROPN
ejpam-3998	190	26	\	\	X
ejpam-3998	190	27	{	{	PUNCT
ejpam-3998	190	28	v	v	NOUN
ejpam-3998	190	29	}	}	PUNCT
ejpam-3998	190	30	=	=	SYM
ejpam-3998	190	31	(	(	PUNCT
ejpam-3998	190	32	sg	sg	ADP
ejpam-3998	190	33	\	\	PROPN
ejpam-3998	190	34	{	{	PUNCT
ejpam-3998	190	35	v	v	NOUN
ejpam-3998	190	36	}	}	PUNCT
ejpam-3998	190	37	)	)	PUNCT
ejpam-3998	190	38	∪	∪	ADP
ejpam-3998	190	39	sh	sh	PROPN
ejpam-3998	190	40	.	.	PUNCT
ejpam-3998	191	1	since	since	SCONJ
ejpam-3998	191	2	sg	sg	PROPN
ejpam-3998	191	3	is	be	AUX
ejpam-3998	191	4	a	a	DET
ejpam-3998	191	5	stable	stable	ADJ
ejpam-3998	191	6	locating	locating	NOUN
ejpam-3998	191	7	set	set	NOUN
ejpam-3998	191	8	of	of	ADP
ejpam-3998	191	9	g	g	PROPN
ejpam-3998	191	10	,	,	PUNCT
ejpam-3998	191	11	sv	sv	PROPN
ejpam-3998	191	12	g	g	PROPN
ejpam-3998	191	13	=	=	PUNCT
ejpam-3998	191	14	sg	sg	PROPN
ejpam-3998	191	15	\	\	PROPN
ejpam-3998	191	16	{	{	PUNCT
ejpam-3998	191	17	v	v	NOUN
ejpam-3998	191	18	}	}	PUNCT
ejpam-3998	191	19	is	be	AUX
ejpam-3998	191	20	a	a	DET
ejpam-3998	191	21	locating	locating	NOUN
ejpam-3998	191	22	set	set	NOUN
ejpam-3998	191	23	of	of	ADP
ejpam-3998	191	24	g.	g.	PROPN
ejpam-3998	191	25	clearly	clearly	ADV
ejpam-3998	191	26	,	,	PUNCT
ejpam-3998	191	27	sv	sv	PROPN
ejpam-3998	191	28	is	be	AUX
ejpam-3998	191	29	a	a	DET
ejpam-3998	191	30	dominating	dominating	NOUN
ejpam-3998	191	31	set	set	NOUN
ejpam-3998	191	32	of	of	ADP
ejpam-3998	191	33	g.	g.	PROPN
ejpam-3998	191	34	let	let	VERB
ejpam-3998	191	35	x	x	PRON
ejpam-3998	191	36	,	,	PUNCT
ejpam-3998	191	37	y	y	PROPN
ejpam-3998	191	38	∈	∈	PROPN
ejpam-3998	191	39	v	v	PROPN
ejpam-3998	191	40	(	(	PUNCT
ejpam-3998	191	41	g+h	g+h	NOUN
ejpam-3998	191	42	)	)	PUNCT
ejpam-3998	191	43	\	\	PROPN
ejpam-3998	192	1	sv	sv	INTJ
ejpam-3998	192	2	with	with	ADP
ejpam-3998	192	3	x	x	SYM
ejpam-3998	192	4	6=	6=	ADP
ejpam-3998	192	5	y.	y.	NOUN
ejpam-3998	192	6	consider	consider	VERB
ejpam-3998	192	7	the	the	DET
ejpam-3998	192	8	following	follow	VERB
ejpam-3998	192	9	cases	case	NOUN
ejpam-3998	192	10	:	:	PUNCT
ejpam-3998	192	11	case	case	NOUN
ejpam-3998	192	12	1	1	NUM
ejpam-3998	192	13	.	.	NUM
ejpam-3998	192	14	x	x	X
ejpam-3998	192	15	,	,	PUNCT
ejpam-3998	192	16	y	y	PROPN
ejpam-3998	192	17	∈	∈	PROPN
ejpam-3998	192	18	v	v	NOUN
ejpam-3998	192	19	(	(	PUNCT
ejpam-3998	192	20	g	g	NOUN
ejpam-3998	192	21	)	)	PUNCT
ejpam-3998	192	22	then	then	ADV
ejpam-3998	192	23	x	x	X
ejpam-3998	192	24	,	,	PUNCT
ejpam-3998	192	25	y	y	PROPN
ejpam-3998	192	26	∈	∈	PROPN
ejpam-3998	192	27	v	v	NOUN
ejpam-3998	192	28	(	(	PUNCT
ejpam-3998	192	29	g)\sv	g)\sv	NOUN
ejpam-3998	192	30	g	g	NOUN
ejpam-3998	192	31	,	,	PUNCT
ejpam-3998	192	32	where	where	SCONJ
ejpam-3998	192	33	sv	sv	PROPN
ejpam-3998	192	34	g	g	NOUN
ejpam-3998	192	35	=	=	PUNCT
ejpam-3998	192	36	sg\{v	sg\{v	X
ejpam-3998	192	37	}	}	PUNCT
ejpam-3998	192	38	.	.	PUNCT
ejpam-3998	193	1	since	since	SCONJ
ejpam-3998	193	2	sv	sv	PROPN
ejpam-3998	193	3	g	g	PROPN
ejpam-3998	193	4	is	be	AUX
ejpam-3998	193	5	a	a	DET
ejpam-3998	193	6	locating	locating	NOUN
ejpam-3998	193	7	set	set	VERB
ejpam-3998	193	8	in	in	ADP
ejpam-3998	193	9	g	g	PROPN
ejpam-3998	193	10	,	,	PUNCT
ejpam-3998	193	11	ng+h(x	ng+h(x	PROPN
ejpam-3998	193	12	)	)	PUNCT
ejpam-3998	193	13	∩	∩	NOUN
ejpam-3998	193	14	svs	svs	NOUN
ejpam-3998	193	15	=	=	PUNCT
ejpam-3998	193	16	[	[	X
ejpam-3998	193	17	ng(x	ng(x	NUM
ejpam-3998	193	18	)	)	PUNCT
ejpam-3998	193	19	∩	∩	NOUN
ejpam-3998	193	20	sv	sv	ADP
ejpam-3998	193	21	g	g	NOUN
ejpam-3998	193	22	]	]	PUNCT
ejpam-3998	193	23	∪	∪	X
ejpam-3998	193	24	sh	sh	PROPN
ejpam-3998	193	25	6=	6=	SYM
ejpam-3998	193	26	[	[	X
ejpam-3998	193	27	ng(y	ng(y	NOUN
ejpam-3998	193	28	)	)	PUNCT
ejpam-3998	193	29	∩	∩	NOUN
ejpam-3998	193	30	sv	sv	ADP
ejpam-3998	193	31	g	g	NOUN
ejpam-3998	193	32	)	)	PUNCT
ejpam-3998	193	33	]	]	PUNCT
ejpam-3998	193	34	∪	∪	ADP
ejpam-3998	193	35	sh	sh	PROPN
ejpam-3998	193	36	=	=	SYM
ejpam-3998	193	37	ng+h(y	ng+h(y	NUM
ejpam-3998	193	38	)	)	PUNCT
ejpam-3998	193	39	∩	∩	PROPN
ejpam-3998	193	40	sv	sv	PROPN
ejpam-3998	193	41	.	.	PUNCT
ejpam-3998	193	42	case	case	NOUN
ejpam-3998	193	43	2	2	NUM
ejpam-3998	193	44	.	.	NUM
ejpam-3998	193	45	x	x	X
ejpam-3998	193	46	,	,	PUNCT
ejpam-3998	193	47	y	y	PROPN
ejpam-3998	193	48	∈	∈	PROPN
ejpam-3998	193	49	v	v	PROPN
ejpam-3998	193	50	(	(	PUNCT
ejpam-3998	193	51	h	h	NOUN
ejpam-3998	193	52	)	)	PUNCT
ejpam-3998	193	53	then	then	ADV
ejpam-3998	193	54	x	x	X
ejpam-3998	193	55	,	,	PUNCT
ejpam-3998	193	56	y	y	PROPN
ejpam-3998	193	57	∈	∈	PROPN
ejpam-3998	193	58	v	v	ADP
ejpam-3998	193	59	(	(	PUNCT
ejpam-3998	193	60	h	h	NOUN
ejpam-3998	193	61	)	)	PUNCT
ejpam-3998	193	62	\	\	PUNCT
ejpam-3998	194	1	sh	sh	INTJ
ejpam-3998	194	2	.	.	PUNCT
ejpam-3998	195	1	since	since	SCONJ
ejpam-3998	195	2	sh	sh	PROPN
ejpam-3998	195	3	is	be	AUX
ejpam-3998	195	4	a	a	DET
ejpam-3998	195	5	locating	locating	NOUN
ejpam-3998	195	6	set	set	VERB
ejpam-3998	195	7	in	in	ADP
ejpam-3998	195	8	h	h	PROPN
ejpam-3998	195	9	,	,	PUNCT
ejpam-3998	195	10	e.	e.	PROPN
ejpam-3998	195	11	ahmad	ahmad	PROPN
ejpam-3998	195	12	,	,	PUNCT
ejpam-3998	195	13	g.	g.	PROPN
ejpam-3998	195	14	malacas	malacas	PROPN
ejpam-3998	195	15	,	,	PUNCT
ejpam-3998	195	16	s.	s.	PROPN
ejpam-3998	195	17	canoy	canoy	PROPN
ejpam-3998	195	18	,	,	PUNCT
ejpam-3998	195	19	jr	jr	PROPN
ejpam-3998	195	20	.	.	PROPN
ejpam-3998	195	21	/	/	SYM
ejpam-3998	195	22	eur	eur	PROPN
ejpam-3998	195	23	.	.	PUNCT
ejpam-3998	196	1	j.	j.	PROPN
ejpam-3998	196	2	pure	pure	PROPN
ejpam-3998	196	3	appl	appl	PROPN
ejpam-3998	196	4	.	.	PROPN
ejpam-3998	196	5	math	math	PROPN
ejpam-3998	196	6	,	,	PUNCT
ejpam-3998	196	7	14	14	NUM
ejpam-3998	196	8	(	(	PUNCT
ejpam-3998	196	9	3	3	NUM
ejpam-3998	196	10	)	)	PUNCT
ejpam-3998	196	11	(	(	PUNCT
ejpam-3998	196	12	2021	2021	NUM
ejpam-3998	196	13	)	)	PUNCT
ejpam-3998	196	14	,	,	PUNCT
ejpam-3998	196	15	638	638	NUM
ejpam-3998	196	16	-	-	SYM
ejpam-3998	196	17	649	649	NUM
ejpam-3998	196	18	644	644	NUM
ejpam-3998	196	19	ng+h(x	ng+h(x	PROPN
ejpam-3998	196	20	)	)	PUNCT
ejpam-3998	196	21	∩	∩	NOUN
ejpam-3998	196	22	sv	sv	PROPN
ejpam-3998	197	1	=	=	SYM
ejpam-3998	197	2	sv	sv	PROPN
ejpam-3998	197	3	g	g	PROPN
ejpam-3998	197	4	∪	∪	X
ejpam-3998	197	5	(	(	PUNCT
ejpam-3998	197	6	nh(x	nh(x	NUM
ejpam-3998	197	7	)	)	PUNCT
ejpam-3998	197	8	∪	∪	ADP
ejpam-3998	197	9	sh	sh	PROPN
ejpam-3998	197	10	)	)	PUNCT
ejpam-3998	197	11	6=	6=	ADP
ejpam-3998	197	12	sz	sz	NOUN
ejpam-3998	197	13	g	g	PROPN
ejpam-3998	197	14	∪	∪	X
ejpam-3998	197	15	(	(	PUNCT
ejpam-3998	197	16	nh(y	nh(y	NOUN
ejpam-3998	197	17	)	)	PUNCT
ejpam-3998	197	18	∩	∩	NOUN
ejpam-3998	197	19	sh	sh	PROPN
ejpam-3998	197	20	)	)	PUNCT
ejpam-3998	197	21	]	]	PUNCT
ejpam-3998	198	1	=	=	SYM
ejpam-3998	198	2	ng+h(y	ng+h(y	NUM
ejpam-3998	198	3	)	)	PUNCT
ejpam-3998	198	4	∩	∩	PROPN
ejpam-3998	198	5	sv	sv	PROPN
ejpam-3998	198	6	.	.	PROPN
ejpam-3998	198	7	case	case	NOUN
ejpam-3998	198	8	3	3	NUM
ejpam-3998	198	9	.	.	PUNCT
ejpam-3998	198	10	x	x	SYM
ejpam-3998	199	1	∈	∈	NOUN
ejpam-3998	199	2	v	v	ADP
ejpam-3998	199	3	(	(	PUNCT
ejpam-3998	199	4	g	g	NOUN
ejpam-3998	199	5	)	)	PUNCT
ejpam-3998	199	6	and	and	CCONJ
ejpam-3998	199	7	y	y	PROPN
ejpam-3998	199	8	∈	∈	PROPN
ejpam-3998	199	9	v	v	ADP
ejpam-3998	199	10	(	(	PUNCT
ejpam-3998	199	11	h	h	NOUN
ejpam-3998	199	12	)	)	PUNCT
ejpam-3998	199	13	(	(	PUNCT
ejpam-3998	199	14	or	or	CCONJ
ejpam-3998	199	15	y	y	PROPN
ejpam-3998	199	16	∈	∈	PROPN
ejpam-3998	199	17	v	v	ADP
ejpam-3998	199	18	(	(	PUNCT
ejpam-3998	199	19	g	g	NOUN
ejpam-3998	199	20	)	)	PUNCT
ejpam-3998	199	21	and	and	CCONJ
ejpam-3998	199	22	x	x	PUNCT
ejpam-3998	199	23	∈	∈	NOUN
ejpam-3998	199	24	v	v	ADP
ejpam-3998	199	25	(	(	PUNCT
ejpam-3998	199	26	h	h	NOUN
ejpam-3998	199	27	)	)	PUNCT
ejpam-3998	199	28	)	)	PUNCT
ejpam-3998	200	1	then	then	ADV
ejpam-3998	200	2	x	x	SYM
ejpam-3998	200	3	∈	∈	PROPN
ejpam-3998	200	4	v	v	ADP
ejpam-3998	200	5	(	(	PUNCT
ejpam-3998	200	6	g	g	NOUN
ejpam-3998	200	7	)	)	PUNCT
ejpam-3998	200	8	\	\	PROPN
ejpam-3998	201	1	sv	sv	ADP
ejpam-3998	201	2	g	g	PROPN
ejpam-3998	201	3	,	,	PUNCT
ejpam-3998	202	1	y	y	PROPN
ejpam-3998	202	2	∈	∈	PROPN
ejpam-3998	202	3	v	v	ADP
ejpam-3998	202	4	(	(	PUNCT
ejpam-3998	202	5	h	h	NOUN
ejpam-3998	202	6	)	)	PUNCT
ejpam-3998	202	7	\	\	PUNCT
ejpam-3998	203	1	sh	sh	INTJ
ejpam-3998	203	2	,	,	PUNCT
ejpam-3998	203	3	ng+h(x	ng+h(x	PROPN
ejpam-3998	203	4	)	)	PUNCT
ejpam-3998	203	5	∩	∩	NOUN
ejpam-3998	203	6	sv	sv	NOUN
ejpam-3998	203	7	=	=	SYM
ejpam-3998	204	1	[	[	X
ejpam-3998	204	2	ng(x	ng(x	NUM
ejpam-3998	204	3	)	)	PUNCT
ejpam-3998	204	4	∩	∩	NOUN
ejpam-3998	204	5	sv	sv	ADP
ejpam-3998	204	6	g	g	NOUN
ejpam-3998	204	7	]	]	PUNCT
ejpam-3998	204	8	∪	∪	ADP
ejpam-3998	204	9	sh	sh	PROPN
ejpam-3998	204	10	,	,	PUNCT
ejpam-3998	204	11	and	and	CCONJ
ejpam-3998	204	12	ng+h(y)∩sv	ng+h(y)∩sv	NUM
ejpam-3998	204	13	=	=	SYM
ejpam-3998	204	14	sv	sv	NOUN
ejpam-3998	204	15	g∪[nh(y)∩sh	g∪[nh(y)∩sh	NOUN
ejpam-3998	204	16	)	)	PUNCT
ejpam-3998	204	17	]	]	PUNCT
ejpam-3998	204	18	.	.	PUNCT
ejpam-3998	205	1	since	since	SCONJ
ejpam-3998	205	2	sh	sh	PROPN
ejpam-3998	205	3	is	be	AUX
ejpam-3998	205	4	a	a	DET
ejpam-3998	205	5	strictly	strictly	ADV
ejpam-3998	205	6	locating	locate	VERB
ejpam-3998	205	7	set	set	NOUN
ejpam-3998	205	8	of	of	ADP
ejpam-3998	205	9	h	h	NOUN
ejpam-3998	205	10	,	,	PUNCT
ejpam-3998	205	11	nh(y)∩sh	nh(y)∩sh	NUM
ejpam-3998	205	12	)	)	PUNCT
ejpam-3998	205	13	6=	6=	ADP
ejpam-3998	205	14	sh	sh	PROPN
ejpam-3998	205	15	.	.	PUNCT
ejpam-3998	206	1	therefore	therefore	ADV
ejpam-3998	206	2	,	,	PUNCT
ejpam-3998	206	3	ng+h(x	ng+h(x	PROPN
ejpam-3998	206	4	)	)	PUNCT
ejpam-3998	206	5	∩	∩	PROPN
ejpam-3998	206	6	sv	sv	ADP
ejpam-3998	206	7	6=	6=	NUM
ejpam-3998	206	8	ng+h(y	ng+h(y	NUM
ejpam-3998	206	9	)	)	PUNCT
ejpam-3998	206	10	∩	∩	NOUN
ejpam-3998	206	11	sv	sv	PROPN
ejpam-3998	206	12	.	.	PUNCT
ejpam-3998	207	1	since	since	SCONJ
ejpam-3998	207	2	sg	sg	PROPN
ejpam-3998	207	3	is	be	AUX
ejpam-3998	207	4	also	also	ADV
ejpam-3998	207	5	strictly	strictly	ADV
ejpam-3998	207	6	locating	locate	VERB
ejpam-3998	207	7	,	,	PUNCT
ejpam-3998	207	8	it	it	PRON
ejpam-3998	207	9	follows	follow	VERB
ejpam-3998	207	10	that	that	SCONJ
ejpam-3998	207	11	ng+h(x)∩	ng+h(x)∩	PRON
ejpam-3998	207	12	sv	sv	PROPN
ejpam-3998	207	13	6=	6=	PROPN
ejpam-3998	207	14	ng+h(y)∩	ng+h(y)∩	PROPN
ejpam-3998	208	1	sv	sv	INTJ
ejpam-3998	209	1	when	when	SCONJ
ejpam-3998	209	2	v	v	X
ejpam-3998	209	3	∈	∈	PROPN
ejpam-3998	209	4	sh	sh	INTJ
ejpam-3998	209	5	and	and	CCONJ
ejpam-3998	209	6	sv	sv	PROPN
ejpam-3998	209	7	=	=	SYM
ejpam-3998	209	8	s	s	PROPN
ejpam-3998	209	9	\{v	\{v	ADJ
ejpam-3998	209	10	}	}	PUNCT
ejpam-3998	209	11	=	=	SYM
ejpam-3998	209	12	sg∪	sg∪	NUM
ejpam-3998	209	13	(	(	PUNCT
ejpam-3998	209	14	sh	sh	PROPN
ejpam-3998	209	15	\{v	\{v	PROPN
ejpam-3998	209	16	}	}	PUNCT
ejpam-3998	209	17	.	.	PUNCT
ejpam-3998	210	1	accordingly	accordingly	ADV
ejpam-3998	210	2	,	,	PUNCT
ejpam-3998	210	3	s	s	VERB
ejpam-3998	210	4	is	be	AUX
ejpam-3998	210	5	a	a	DET
ejpam-3998	210	6	stable	stable	ADJ
ejpam-3998	210	7	locating	locating	NOUN
ejpam-3998	210	8	-	-	PUNCT
ejpam-3998	210	9	dominating	dominate	VERB
ejpam-3998	210	10	set	set	NOUN
ejpam-3998	210	11	of	of	ADP
ejpam-3998	210	12	g+h	g+h	PROPN
ejpam-3998	210	13	.	.	PUNCT
ejpam-3998	211	1	lemma	lemma	PROPN
ejpam-3998	211	2	1	1	X
ejpam-3998	211	3	.	.	PUNCT
ejpam-3998	212	1	let	let	VERB
ejpam-3998	212	2	g	g	PRON
ejpam-3998	212	3	be	be	AUX
ejpam-3998	212	4	a	a	DET
ejpam-3998	212	5	non	non	ADJ
ejpam-3998	212	6	-	-	ADJ
ejpam-3998	212	7	trivial	trivial	ADJ
ejpam-3998	212	8	connected	connected	ADJ
ejpam-3998	212	9	graph	graph	NOUN
ejpam-3998	212	10	.	.	PUNCT
ejpam-3998	213	1	if	if	SCONJ
ejpam-3998	213	2	γ(g	γ(g	PROPN
ejpam-3998	213	3	)	)	PUNCT
ejpam-3998	213	4	=	=	SYM
ejpam-3998	213	5	1	1	NUM
ejpam-3998	213	6	,	,	PUNCT
ejpam-3998	213	7	then	then	ADV
ejpam-3998	213	8	every	every	DET
ejpam-3998	213	9	nonempty	nonempty	ADV
ejpam-3998	213	10	set	set	VERB
ejpam-3998	213	11	s	s	PROPN
ejpam-3998	213	12	⊆	⊆	NUM
ejpam-3998	213	13	v	v	NOUN
ejpam-3998	213	14	(	(	PUNCT
ejpam-3998	213	15	g	g	NOUN
ejpam-3998	213	16	)	)	PUNCT
ejpam-3998	213	17	is	be	AUX
ejpam-3998	213	18	not	not	PART
ejpam-3998	213	19	a	a	DET
ejpam-3998	213	20	stable	stable	ADJ
ejpam-3998	213	21	strictly	strictly	ADV
ejpam-3998	213	22	locating	locate	VERB
ejpam-3998	213	23	set	set	NOUN
ejpam-3998	213	24	of	of	ADP
ejpam-3998	213	25	g.	g.	PROPN
ejpam-3998	213	26	in	in	ADP
ejpam-3998	213	27	particular	particular	ADJ
ejpam-3998	213	28	,	,	PUNCT
ejpam-3998	213	29	g	g	PROPN
ejpam-3998	213	30	does	do	AUX
ejpam-3998	213	31	not	not	PART
ejpam-3998	213	32	admit	admit	VERB
ejpam-3998	213	33	a	a	DET
ejpam-3998	213	34	stable	stable	ADJ
ejpam-3998	213	35	strictly	strictly	ADV
ejpam-3998	213	36	locating	locate	VERB
ejpam-3998	213	37	set	set	NOUN
ejpam-3998	213	38	.	.	PUNCT
ejpam-3998	214	1	proof	proof	NOUN
ejpam-3998	214	2	.	.	PUNCT
ejpam-3998	215	1	suppose	suppose	VERB
ejpam-3998	215	2	∅	∅	NOUN
ejpam-3998	215	3	6=	6=	ADP
ejpam-3998	215	4	s	s	PROPN
ejpam-3998	215	5	⊆	⊆	NUM
ejpam-3998	215	6	v	v	NOUN
ejpam-3998	215	7	(	(	PUNCT
ejpam-3998	215	8	g	g	NOUN
ejpam-3998	215	9	)	)	PUNCT
ejpam-3998	215	10	and	and	CCONJ
ejpam-3998	215	11	let	let	VERB
ejpam-3998	215	12	{	{	PUNCT
ejpam-3998	215	13	v	v	AUX
ejpam-3998	215	14	}	}	PUNCT
ejpam-3998	215	15	be	be	AUX
ejpam-3998	215	16	a	a	DET
ejpam-3998	215	17	dominating	dominating	NOUN
ejpam-3998	215	18	set	set	NOUN
ejpam-3998	215	19	of	of	ADP
ejpam-3998	215	20	g.	g.	PROPN
ejpam-3998	215	21	if	if	SCONJ
ejpam-3998	215	22	v	v	NUM
ejpam-3998	215	23	/∈	/∈	PUNCT
ejpam-3998	215	24	s	s	X
ejpam-3998	215	25	,	,	PUNCT
ejpam-3998	215	26	then	then	ADV
ejpam-3998	215	27	ng(v	ng(v	PUNCT
ejpam-3998	215	28	)	)	PUNCT
ejpam-3998	215	29	∩	∩	NOUN
ejpam-3998	215	30	s	s	PART
ejpam-3998	215	31	=	=	PUNCT
ejpam-3998	215	32	s.	s.	PROPN
ejpam-3998	215	33	hence	hence	ADV
ejpam-3998	215	34	,	,	PUNCT
ejpam-3998	215	35	s	s	VERB
ejpam-3998	215	36	is	be	AUX
ejpam-3998	215	37	not	not	PART
ejpam-3998	215	38	a	a	DET
ejpam-3998	215	39	strictly	strictly	ADV
ejpam-3998	215	40	locating	locate	VERB
ejpam-3998	215	41	set	set	NOUN
ejpam-3998	215	42	.	.	PUNCT
ejpam-3998	216	1	suppose	suppose	VERB
ejpam-3998	216	2	v	v	ADP
ejpam-3998	216	3	∈	∈	PROPN
ejpam-3998	216	4	s.	s.	PROPN
ejpam-3998	216	5	then	then	ADV
ejpam-3998	216	6	ng(v	ng(v	PUNCT
ejpam-3998	216	7	)	)	PUNCT
ejpam-3998	216	8	∩	∩	NOUN
ejpam-3998	216	9	sv	sv	NOUN
ejpam-3998	216	10	=	=	SYM
ejpam-3998	216	11	sv	sv	PROPN
ejpam-3998	216	12	,	,	PUNCT
ejpam-3998	216	13	where	where	SCONJ
ejpam-3998	216	14	sv	sv	PROPN
ejpam-3998	216	15	=	=	SYM
ejpam-3998	216	16	s	s	PART
ejpam-3998	216	17	\	\	X
ejpam-3998	216	18	{	{	PUNCT
ejpam-3998	216	19	v	v	NOUN
ejpam-3998	216	20	}	}	PUNCT
ejpam-3998	216	21	.	.	PUNCT
ejpam-3998	217	1	this	this	PRON
ejpam-3998	217	2	implies	imply	VERB
ejpam-3998	217	3	that	that	SCONJ
ejpam-3998	217	4	sv	sv	PROPN
ejpam-3998	217	5	can	can	AUX
ejpam-3998	217	6	not	not	PART
ejpam-3998	217	7	be	be	AUX
ejpam-3998	217	8	a	a	DET
ejpam-3998	217	9	strictly	strictly	ADV
ejpam-3998	217	10	locating	locate	VERB
ejpam-3998	217	11	set	set	NOUN
ejpam-3998	217	12	.	.	PUNCT
ejpam-3998	218	1	therefore	therefore	ADV
ejpam-3998	218	2	,	,	PUNCT
ejpam-3998	218	3	s	s	VERB
ejpam-3998	218	4	is	be	AUX
ejpam-3998	218	5	not	not	PART
ejpam-3998	218	6	a	a	DET
ejpam-3998	218	7	stable	stable	ADJ
ejpam-3998	218	8	strictly	strictly	ADV
ejpam-3998	218	9	locating	locate	VERB
ejpam-3998	218	10	set	set	NOUN
ejpam-3998	218	11	of	of	ADP
ejpam-3998	218	12	g.	g.	PROPN
ejpam-3998	218	13	theorem	theorem	VERB
ejpam-3998	218	14	3	3	X
ejpam-3998	218	15	.	.	PUNCT
ejpam-3998	219	1	let	let	VERB
ejpam-3998	219	2	g	g	PRON
ejpam-3998	219	3	be	be	AUX
ejpam-3998	219	4	a	a	DET
ejpam-3998	219	5	graph	graph	NOUN
ejpam-3998	219	6	without	without	ADP
ejpam-3998	219	7	isolated	isolated	ADJ
ejpam-3998	219	8	vertices	vertex	NOUN
ejpam-3998	219	9	.	.	PUNCT
ejpam-3998	220	1	then	then	ADV
ejpam-3998	220	2	g	g	PROPN
ejpam-3998	220	3	has	have	VERB
ejpam-3998	220	4	a	a	DET
ejpam-3998	220	5	stable	stable	ADJ
ejpam-3998	220	6	strictly	strictly	ADV
ejpam-3998	220	7	locating	locate	VERB
ejpam-3998	220	8	set	set	VERB
ejpam-3998	220	9	if	if	SCONJ
ejpam-3998	220	10	and	and	CCONJ
ejpam-3998	220	11	only	only	ADV
ejpam-3998	220	12	if	if	SCONJ
ejpam-3998	220	13	γ(g	γ(g	PROPN
ejpam-3998	220	14	)	)	PUNCT
ejpam-3998	220	15	6=	6=	ADP
ejpam-3998	220	16	1	1	X
ejpam-3998	220	17	.	.	PUNCT
ejpam-3998	221	1	proof	proof	NOUN
ejpam-3998	221	2	.	.	PUNCT
ejpam-3998	222	1	suppose	suppose	VERB
ejpam-3998	222	2	g	g	PROPN
ejpam-3998	222	3	has	have	VERB
ejpam-3998	222	4	a	a	DET
ejpam-3998	222	5	stable	stable	ADJ
ejpam-3998	222	6	strictly	strictly	ADV
ejpam-3998	222	7	locating	locate	VERB
ejpam-3998	222	8	set	set	NOUN
ejpam-3998	222	9	.	.	PUNCT
ejpam-3998	223	1	then	then	ADV
ejpam-3998	223	2	γ(g	γ(g	PROPN
ejpam-3998	223	3	)	)	PUNCT
ejpam-3998	223	4	6=	6=	ADP
ejpam-3998	223	5	1	1	NUM
ejpam-3998	223	6	by	by	ADP
ejpam-3998	223	7	lemma	lemma	PROPN
ejpam-3998	223	8	1	1	NUM
ejpam-3998	223	9	.	.	PUNCT
ejpam-3998	224	1	for	for	ADP
ejpam-3998	224	2	the	the	DET
ejpam-3998	224	3	converse	converse	NOUN
ejpam-3998	224	4	,	,	PUNCT
ejpam-3998	224	5	suppose	suppose	VERB
ejpam-3998	224	6	that	that	SCONJ
ejpam-3998	224	7	γ(g	γ(g	PROPN
ejpam-3998	224	8	)	)	PUNCT
ejpam-3998	224	9	6=	6=	ADP
ejpam-3998	225	1	1	1	X
ejpam-3998	225	2	.	.	PUNCT
ejpam-3998	225	3	let	let	VERB
ejpam-3998	225	4	s	s	NOUN
ejpam-3998	225	5	=	=	X
ejpam-3998	225	6	v	v	ADJ
ejpam-3998	225	7	(	(	PUNCT
ejpam-3998	225	8	g	g	NOUN
ejpam-3998	225	9	)	)	PUNCT
ejpam-3998	225	10	.	.	PUNCT
ejpam-3998	226	1	then	then	ADV
ejpam-3998	226	2	clearly	clearly	ADV
ejpam-3998	226	3	,	,	PUNCT
ejpam-3998	226	4	s	s	VERB
ejpam-3998	226	5	is	be	AUX
ejpam-3998	226	6	a	a	DET
ejpam-3998	226	7	strictly	strictly	ADV
ejpam-3998	226	8	locating	locate	VERB
ejpam-3998	226	9	set	set	NOUN
ejpam-3998	226	10	.	.	PUNCT
ejpam-3998	227	1	let	let	VERB
ejpam-3998	227	2	w	w	NOUN
ejpam-3998	227	3	∈	∈	NOUN
ejpam-3998	227	4	s	s	PART
ejpam-3998	227	5	and	and	CCONJ
ejpam-3998	227	6	let	let	VERB
ejpam-3998	227	7	sw	sw	NOUN
ejpam-3998	227	8	=	=	SYM
ejpam-3998	227	9	s	s	PART
ejpam-3998	227	10	\	\	X
ejpam-3998	227	11	{	{	PUNCT
ejpam-3998	227	12	w	w	NOUN
ejpam-3998	227	13	}	}	PUNCT
ejpam-3998	227	14	.	.	PUNCT
ejpam-3998	228	1	then	then	ADV
ejpam-3998	228	2	sw	sw	PROPN
ejpam-3998	228	3	is	be	AUX
ejpam-3998	228	4	a	a	DET
ejpam-3998	228	5	locating	locating	NOUN
ejpam-3998	228	6	set	set	NOUN
ejpam-3998	228	7	of	of	ADP
ejpam-3998	228	8	g.	g.	PROPN
ejpam-3998	228	9	moreover	moreover	ADV
ejpam-3998	228	10	,	,	PUNCT
ejpam-3998	228	11	since	since	SCONJ
ejpam-3998	228	12	{	{	PUNCT
ejpam-3998	228	13	w	w	NOUN
ejpam-3998	228	14	}	}	PUNCT
ejpam-3998	228	15	is	be	AUX
ejpam-3998	228	16	not	not	PART
ejpam-3998	228	17	a	a	DET
ejpam-3998	228	18	dominating	dominating	NOUN
ejpam-3998	228	19	set	set	NOUN
ejpam-3998	228	20	of	of	ADP
ejpam-3998	228	21	g	g	NOUN
ejpam-3998	228	22	,	,	PUNCT
ejpam-3998	228	23	ng(w	ng(w	NOUN
ejpam-3998	228	24	)	)	PUNCT
ejpam-3998	228	25	∩	∩	PROPN
ejpam-3998	228	26	sw	sw	PROPN
ejpam-3998	228	27	6=	6=	PROPN
ejpam-3998	228	28	sw	sw	PROPN
ejpam-3998	228	29	.	.	PUNCT
ejpam-3998	229	1	this	this	PRON
ejpam-3998	229	2	implies	imply	VERB
ejpam-3998	229	3	that	that	SCONJ
ejpam-3998	229	4	sw	sw	PROPN
ejpam-3998	229	5	is	be	AUX
ejpam-3998	229	6	a	a	DET
ejpam-3998	229	7	strictly	strictly	ADV
ejpam-3998	229	8	locating	locate	VERB
ejpam-3998	229	9	set	set	NOUN
ejpam-3998	229	10	of	of	ADP
ejpam-3998	229	11	g.	g.	PROPN
ejpam-3998	229	12	therefore	therefore	ADV
ejpam-3998	229	13	,	,	PUNCT
ejpam-3998	229	14	s	s	VERB
ejpam-3998	229	15	=	=	SYM
ejpam-3998	229	16	v	v	X
ejpam-3998	229	17	(	(	PUNCT
ejpam-3998	229	18	g	g	NOUN
ejpam-3998	229	19	)	)	PUNCT
ejpam-3998	229	20	is	be	AUX
ejpam-3998	229	21	a	a	DET
ejpam-3998	229	22	stable	stable	ADJ
ejpam-3998	229	23	strictly	strictly	ADV
ejpam-3998	229	24	locating	locate	VERB
ejpam-3998	229	25	set	set	NOUN
ejpam-3998	229	26	of	of	ADP
ejpam-3998	229	27	g.	g.	PROPN
ejpam-3998	229	28	theorem	theorem	VERB
ejpam-3998	229	29	4	4	X
ejpam-3998	229	30	.	.	PUNCT
ejpam-3998	230	1	let	let	VERB
ejpam-3998	230	2	g	g	PRON
ejpam-3998	230	3	be	be	AUX
ejpam-3998	230	4	a	a	DET
ejpam-3998	230	5	connected	connected	ADJ
ejpam-3998	230	6	graph	graph	NOUN
ejpam-3998	230	7	with	with	ADP
ejpam-3998	230	8	∆(g	∆(g	NOUN
ejpam-3998	230	9	)	)	PUNCT
ejpam-3998	231	1	=	=	SYM
ejpam-3998	231	2	n−	n−	NOUN
ejpam-3998	231	3	2	2	NUM
ejpam-3998	231	4	,	,	PUNCT
ejpam-3998	231	5	where	where	SCONJ
ejpam-3998	231	6	n	n	X
ejpam-3998	231	7	is	be	AUX
ejpam-3998	231	8	the	the	DET
ejpam-3998	231	9	order	order	NOUN
ejpam-3998	231	10	g.	g.	NOUN
ejpam-3998	232	1	if	if	SCONJ
ejpam-3998	232	2	s	s	X
ejpam-3998	232	3	is	be	AUX
ejpam-3998	232	4	a	a	DET
ejpam-3998	232	5	stable	stable	ADJ
ejpam-3998	232	6	strictly	strictly	ADV
ejpam-3998	232	7	locating	locate	VERB
ejpam-3998	232	8	set	set	NOUN
ejpam-3998	232	9	,	,	PUNCT
ejpam-3998	232	10	then	then	ADV
ejpam-3998	232	11	v	v	NOUN
ejpam-3998	232	12	,	,	PUNCT
ejpam-3998	232	13	w	w	PROPN
ejpam-3998	232	14	∈	∈	PROPN
ejpam-3998	232	15	s	s	NOUN
ejpam-3998	232	16	for	for	ADP
ejpam-3998	232	17	every	every	DET
ejpam-3998	232	18	pair	pair	NOUN
ejpam-3998	232	19	of	of	ADP
ejpam-3998	232	20	vertices	vertex	NOUN
ejpam-3998	232	21	v	v	NOUN
ejpam-3998	232	22	and	and	CCONJ
ejpam-3998	232	23	w	w	NOUN
ejpam-3998	232	24	with	with	ADP
ejpam-3998	232	25	degg(v	degg(v	PROPN
ejpam-3998	232	26	)	)	PUNCT
ejpam-3998	232	27	=	=	SYM
ejpam-3998	232	28	n−	n−	NOUN
ejpam-3998	232	29	2	2	NUM
ejpam-3998	232	30	and	and	CCONJ
ejpam-3998	232	31	vw	vw	PROPN
ejpam-3998	232	32	/∈	/∈	PUNCT
ejpam-3998	232	33	e(g	e(g	PROPN
ejpam-3998	232	34	)	)	PUNCT
ejpam-3998	232	35	.	.	PUNCT
ejpam-3998	233	1	proof	proof	NOUN
ejpam-3998	233	2	.	.	PUNCT
ejpam-3998	234	1	let	let	VERB
ejpam-3998	234	2	v	v	NOUN
ejpam-3998	234	3	,	,	PUNCT
ejpam-3998	234	4	w	w	PROPN
ejpam-3998	234	5	∈	∈	PROPN
ejpam-3998	234	6	v	v	ADP
ejpam-3998	234	7	(	(	PUNCT
ejpam-3998	234	8	g	g	NOUN
ejpam-3998	234	9	)	)	PUNCT
ejpam-3998	234	10	with	with	ADP
ejpam-3998	234	11	degg(v	degg(v	PROPN
ejpam-3998	234	12	)	)	PUNCT
ejpam-3998	234	13	=	=	SYM
ejpam-3998	234	14	n	n	CCONJ
ejpam-3998	234	15	−	−	NUM
ejpam-3998	234	16	2	2	NUM
ejpam-3998	234	17	and	and	CCONJ
ejpam-3998	234	18	vw	vw	PROPN
ejpam-3998	234	19	/∈	/∈	PUNCT
ejpam-3998	234	20	e(g	e(g	PROPN
ejpam-3998	234	21	)	)	PUNCT
ejpam-3998	234	22	.	.	PUNCT
ejpam-3998	235	1	suppose	suppose	VERB
ejpam-3998	235	2	v	v	X
ejpam-3998	235	3	/∈	/∈	SYM
ejpam-3998	235	4	v	v	NOUN
ejpam-3998	235	5	(	(	PUNCT
ejpam-3998	235	6	g	g	NOUN
ejpam-3998	235	7	)	)	PUNCT
ejpam-3998	235	8	.	.	PUNCT
ejpam-3998	236	1	since	since	SCONJ
ejpam-3998	236	2	s	s	PROPN
ejpam-3998	236	3	is	be	AUX
ejpam-3998	236	4	a	a	DET
ejpam-3998	236	5	strictly	strictly	ADV
ejpam-3998	236	6	locating	locate	VERB
ejpam-3998	236	7	set	set	NOUN
ejpam-3998	236	8	of	of	ADP
ejpam-3998	236	9	g	g	NOUN
ejpam-3998	236	10	,	,	PUNCT
ejpam-3998	236	11	w	w	PROPN
ejpam-3998	236	12	∈	∈	PROPN
ejpam-3998	236	13	s.	s.	PROPN
ejpam-3998	236	14	by	by	ADP
ejpam-3998	236	15	the	the	DET
ejpam-3998	236	16	assumption	assumption	NOUN
ejpam-3998	236	17	that	that	SCONJ
ejpam-3998	236	18	s	s	VERB
ejpam-3998	236	19	is	be	AUX
ejpam-3998	236	20	a	a	DET
ejpam-3998	236	21	stable	stable	ADJ
ejpam-3998	236	22	strictly	strictly	ADV
ejpam-3998	236	23	locating	locate	VERB
ejpam-3998	236	24	set	set	NOUN
ejpam-3998	236	25	,	,	PUNCT
ejpam-3998	236	26	it	it	PRON
ejpam-3998	236	27	follows	follow	VERB
ejpam-3998	236	28	that	that	SCONJ
ejpam-3998	236	29	sw	sw	PROPN
ejpam-3998	236	30	=	=	SYM
ejpam-3998	236	31	s	s	PART
ejpam-3998	236	32	\	\	X
ejpam-3998	236	33	{	{	PUNCT
ejpam-3998	236	34	w	w	NOUN
ejpam-3998	236	35	}	}	PUNCT
ejpam-3998	236	36	is	be	AUX
ejpam-3998	236	37	a	a	DET
ejpam-3998	236	38	strictly	strictly	ADV
ejpam-3998	236	39	locating	locate	VERB
ejpam-3998	236	40	set	set	NOUN
ejpam-3998	236	41	.	.	PUNCT
ejpam-3998	237	1	this	this	PRON
ejpam-3998	237	2	,	,	PUNCT
ejpam-3998	237	3	however	however	ADV
ejpam-3998	237	4	,	,	PUNCT
ejpam-3998	237	5	is	be	AUX
ejpam-3998	237	6	not	not	PART
ejpam-3998	237	7	possible	possible	ADJ
ejpam-3998	237	8	because	because	SCONJ
ejpam-3998	237	9	ng(v	ng(v	NOUN
ejpam-3998	237	10	)	)	PUNCT
ejpam-3998	237	11	∩	∩	ADJ
ejpam-3998	237	12	sw	sw	PROPN
ejpam-3998	237	13	=	=	SYM
ejpam-3998	237	14	sw	sw	PROPN
ejpam-3998	237	15	.	.	PUNCT
ejpam-3998	238	1	therefore	therefore	ADV
ejpam-3998	238	2	,	,	PUNCT
ejpam-3998	238	3	v	v	PROPN
ejpam-3998	238	4	∈	∈	PROPN
ejpam-3998	238	5	s.	s.	PROPN
ejpam-3998	238	6	next	next	ADV
ejpam-3998	238	7	,	,	PUNCT
ejpam-3998	238	8	suppose	suppose	VERB
ejpam-3998	238	9	that	that	SCONJ
ejpam-3998	238	10	w	w	PROPN
ejpam-3998	238	11	/∈	/∈	PROPN
ejpam-3998	238	12	s.	s.	PROPN
ejpam-3998	238	13	then	then	ADV
ejpam-3998	238	14	ng(v	ng(v	NOUN
ejpam-3998	238	15	)	)	PUNCT
ejpam-3998	239	1	∩	∩	NOUN
ejpam-3998	239	2	sv	sv	NOUN
ejpam-3998	239	3	=	=	SYM
ejpam-3998	239	4	sv	sv	PROPN
ejpam-3998	239	5	=	=	SYM
ejpam-3998	239	6	s	s	PROPN
ejpam-3998	239	7	\	\	X
ejpam-3998	239	8	{	{	PUNCT
ejpam-3998	239	9	v	v	NOUN
ejpam-3998	239	10	}	}	PUNCT
ejpam-3998	239	11	.	.	PUNCT
ejpam-3998	240	1	hence	hence	ADV
ejpam-3998	240	2	,	,	PUNCT
ejpam-3998	240	3	s	s	VERB
ejpam-3998	240	4	is	be	AUX
ejpam-3998	240	5	not	not	PART
ejpam-3998	240	6	a	a	DET
ejpam-3998	240	7	stable	stable	ADJ
ejpam-3998	240	8	strictly	strictly	ADV
ejpam-3998	240	9	locating	locate	VERB
ejpam-3998	240	10	set	set	NOUN
ejpam-3998	240	11	of	of	ADP
ejpam-3998	240	12	g	g	NOUN
ejpam-3998	240	13	,	,	PUNCT
ejpam-3998	240	14	a	a	DET
ejpam-3998	240	15	contradiction	contradiction	NOUN
ejpam-3998	240	16	.	.	PUNCT
ejpam-3998	241	1	thus	thus	ADV
ejpam-3998	241	2	,	,	PUNCT
ejpam-3998	241	3	w	w	PROPN
ejpam-3998	241	4	∈	∈	PROPN
ejpam-3998	241	5	s	s	NOUN
ejpam-3998	241	6	,	,	PUNCT
ejpam-3998	241	7	proving	prove	VERB
ejpam-3998	241	8	our	our	PRON
ejpam-3998	241	9	assertion	assertion	NOUN
ejpam-3998	241	10	.	.	PUNCT
ejpam-3998	242	1	given	give	VERB
ejpam-3998	242	2	a	a	DET
ejpam-3998	242	3	graph	graph	NOUN
ejpam-3998	242	4	g	g	NOUN
ejpam-3998	242	5	without	without	ADP
ejpam-3998	242	6	isolated	isolated	ADJ
ejpam-3998	242	7	vertices	vertex	NOUN
ejpam-3998	242	8	,	,	PUNCT
ejpam-3998	242	9	we	we	PRON
ejpam-3998	242	10	will	will	AUX
ejpam-3998	242	11	use	use	VERB
ejpam-3998	242	12	the	the	DET
ejpam-3998	242	13	following	following	ADJ
ejpam-3998	242	14	notations	notation	NOUN
ejpam-3998	242	15	:	:	PUNCT
ejpam-3998	242	16	ηsls(g	ηsls(g	NUM
ejpam-3998	242	17	)	)	PUNCT
ejpam-3998	243	1	=	=	NOUN
ejpam-3998	243	2	min{|s|	min{|s|	NOUN
ejpam-3998	243	3	:	:	PUNCT
ejpam-3998	243	4	s	s	VERB
ejpam-3998	243	5	is	be	AUX
ejpam-3998	243	6	a	a	DET
ejpam-3998	243	7	stable	stable	ADJ
ejpam-3998	243	8	locating	locating	NOUN
ejpam-3998	243	9	set	set	NOUN
ejpam-3998	243	10	of	of	ADP
ejpam-3998	243	11	g	g	NOUN
ejpam-3998	243	12	}	}	PUNCT
ejpam-3998	243	13	ηssls(g	ηssls(g	PROPN
ejpam-3998	243	14	)	)	PUNCT
ejpam-3998	243	15	=	=	NOUN
ejpam-3998	243	16	min{|s|	min{|s|	NOUN
ejpam-3998	243	17	:	:	PUNCT
ejpam-3998	243	18	s	s	VERB
ejpam-3998	243	19	is	be	AUX
ejpam-3998	243	20	a	a	DET
ejpam-3998	243	21	stable	stable	ADJ
ejpam-3998	243	22	strictly	strictly	ADV
ejpam-3998	243	23	locating	locate	VERB
ejpam-3998	243	24	set	set	NOUN
ejpam-3998	243	25	of	of	ADP
ejpam-3998	243	26	g	g	NOUN
ejpam-3998	243	27	}	}	PUNCT
ejpam-3998	243	28	ηslsls(g	ηslsls(g	PROPN
ejpam-3998	243	29	)	)	PUNCT
ejpam-3998	243	30	=	=	NOUN
ejpam-3998	243	31	min{|s|	min{|s|	NOUN
ejpam-3998	243	32	:	:	PUNCT
ejpam-3998	243	33	s	s	VERB
ejpam-3998	243	34	is	be	AUX
ejpam-3998	243	35	a	a	DET
ejpam-3998	243	36	strictly	strictly	ADV
ejpam-3998	243	37	locating	locate	VERB
ejpam-3998	243	38	set	set	VERB
ejpam-3998	243	39	and	and	CCONJ
ejpam-3998	243	40	a	a	DET
ejpam-3998	243	41	stable	stable	ADJ
ejpam-3998	243	42	locating	locating	NOUN
ejpam-3998	243	43	set	set	NOUN
ejpam-3998	243	44	of	of	ADP
ejpam-3998	243	45	g	g	PROPN
ejpam-3998	243	46	}	}	PUNCT
ejpam-3998	243	47	e.	e.	PROPN
ejpam-3998	243	48	ahmad	ahmad	PROPN
ejpam-3998	243	49	,	,	PUNCT
ejpam-3998	243	50	g.	g.	PROPN
ejpam-3998	243	51	malacas	malacas	PROPN
ejpam-3998	243	52	,	,	PUNCT
ejpam-3998	243	53	s.	s.	PROPN
ejpam-3998	243	54	canoy	canoy	PROPN
ejpam-3998	243	55	,	,	PUNCT
ejpam-3998	243	56	jr	jr	PROPN
ejpam-3998	243	57	.	.	PROPN
ejpam-3998	243	58	/	/	SYM
ejpam-3998	243	59	eur	eur	PROPN
ejpam-3998	243	60	.	.	PUNCT
ejpam-3998	244	1	j.	j.	PROPN
ejpam-3998	244	2	pure	pure	PROPN
ejpam-3998	244	3	appl	appl	PROPN
ejpam-3998	244	4	.	.	PROPN
ejpam-3998	244	5	math	math	PROPN
ejpam-3998	244	6	,	,	PUNCT
ejpam-3998	244	7	14	14	NUM
ejpam-3998	244	8	(	(	PUNCT
ejpam-3998	244	9	3	3	NUM
ejpam-3998	244	10	)	)	PUNCT
ejpam-3998	244	11	(	(	PUNCT
ejpam-3998	244	12	2021	2021	NUM
ejpam-3998	244	13	)	)	PUNCT
ejpam-3998	244	14	,	,	PUNCT
ejpam-3998	244	15	638	638	NUM
ejpam-3998	244	16	-	-	SYM
ejpam-3998	244	17	649	649	NUM
ejpam-3998	244	18	645	645	NUM
ejpam-3998	244	19	corollary	corollary	ADJ
ejpam-3998	244	20	2	2	NUM
ejpam-3998	244	21	.	.	PUNCT
ejpam-3998	245	1	let	let	VERB
ejpam-3998	245	2	g	g	NOUN
ejpam-3998	245	3	and	and	CCONJ
ejpam-3998	245	4	h	h	NOUN
ejpam-3998	245	5	be	be	AUX
ejpam-3998	245	6	graphs	graph	NOUN
ejpam-3998	245	7	without	without	ADP
ejpam-3998	245	8	isolated	isolated	ADJ
ejpam-3998	245	9	vertices	vertex	NOUN
ejpam-3998	245	10	.	.	PUNCT
ejpam-3998	246	1	(	(	PUNCT
ejpam-3998	246	2	i	i	NOUN
ejpam-3998	246	3	)	)	PUNCT
ejpam-3998	246	4	if	if	SCONJ
ejpam-3998	246	5	γ(g	γ(g	PROPN
ejpam-3998	246	6	)	)	PUNCT
ejpam-3998	246	7	=	=	SYM
ejpam-3998	246	8	γ(h	γ(h	NOUN
ejpam-3998	246	9	)	)	PUNCT
ejpam-3998	246	10	=	=	SYM
ejpam-3998	246	11	1	1	NUM
ejpam-3998	246	12	,	,	PUNCT
ejpam-3998	246	13	then	then	ADV
ejpam-3998	246	14	γsl	γsl	VERB
ejpam-3998	246	15	(	(	PUNCT
ejpam-3998	246	16	g+h	g+h	NOUN
ejpam-3998	246	17	)	)	PUNCT
ejpam-3998	246	18	=	=	SYM
ejpam-3998	246	19	ηslsls(g	ηslsls(g	PROPN
ejpam-3998	246	20	)	)	PUNCT
ejpam-3998	246	21	+	+	CCONJ
ejpam-3998	246	22	ηslsls(h	ηslsls(h	NOUN
ejpam-3998	246	23	)	)	PUNCT
ejpam-3998	246	24	.	.	PUNCT
ejpam-3998	247	1	(	(	PUNCT
ejpam-3998	247	2	ii	ii	NOUN
ejpam-3998	247	3	)	)	PUNCT
ejpam-3998	247	4	if	if	SCONJ
ejpam-3998	247	5	γ(g	γ(g	PROPN
ejpam-3998	247	6	)	)	PUNCT
ejpam-3998	247	7	6=	6=	ADP
ejpam-3998	247	8	1	1	NUM
ejpam-3998	247	9	and	and	CCONJ
ejpam-3998	247	10	γ(h	γ(h	NOUN
ejpam-3998	247	11	)	)	PUNCT
ejpam-3998	247	12	=	=	SYM
ejpam-3998	248	1	1	1	NUM
ejpam-3998	248	2	,	,	PUNCT
ejpam-3998	248	3	then	then	ADV
ejpam-3998	248	4	γsl	γsl	VERB
ejpam-3998	248	5	(	(	PUNCT
ejpam-3998	248	6	g+h	g+h	NOUN
ejpam-3998	248	7	)	)	PUNCT
ejpam-3998	248	8	=	=	SYM
ejpam-3998	248	9	min{ηslsls(g	min{ηslsls(g	PROPN
ejpam-3998	248	10	)	)	PUNCT
ejpam-3998	249	1	+	+	CCONJ
ejpam-3998	249	2	ηslsls(h	ηslsls(h	NOUN
ejpam-3998	249	3	)	)	PUNCT
ejpam-3998	249	4	,	,	PUNCT
ejpam-3998	249	5	ηssls(g	ηssls(g	PROPN
ejpam-3998	249	6	)	)	PUNCT
ejpam-3998	249	7	+	+	SYM
ejpam-3998	249	8	ηsls(h	ηsls(h	NOUN
ejpam-3998	249	9	)	)	PUNCT
ejpam-3998	249	10	}	}	PUNCT
ejpam-3998	249	11	.	.	PUNCT
ejpam-3998	250	1	(	(	PUNCT
ejpam-3998	250	2	iii	iii	X
ejpam-3998	250	3	)	)	PUNCT
ejpam-3998	250	4	if	if	SCONJ
ejpam-3998	250	5	γ(g	γ(g	PROPN
ejpam-3998	250	6	)	)	PUNCT
ejpam-3998	250	7	=	=	SYM
ejpam-3998	250	8	1	1	NUM
ejpam-3998	250	9	and	and	CCONJ
ejpam-3998	250	10	γ(h	γ(h	NOUN
ejpam-3998	250	11	)	)	PUNCT
ejpam-3998	251	1	6=	6=	ADP
ejpam-3998	251	2	1	1	NUM
ejpam-3998	251	3	,	,	PUNCT
ejpam-3998	251	4	then	then	ADV
ejpam-3998	251	5	γsl	γsl	VERB
ejpam-3998	251	6	(	(	PUNCT
ejpam-3998	251	7	g+h	g+h	NOUN
ejpam-3998	251	8	)	)	PUNCT
ejpam-3998	251	9	=	=	SYM
ejpam-3998	251	10	min{ηslsls(g	min{ηslsls(g	PROPN
ejpam-3998	251	11	)	)	PUNCT
ejpam-3998	252	1	+	+	CCONJ
ejpam-3998	252	2	ηslsls(h	ηslsls(h	NOUN
ejpam-3998	252	3	)	)	PUNCT
ejpam-3998	252	4	,	,	PUNCT
ejpam-3998	252	5	ηsls(g	ηsls(g	PROPN
ejpam-3998	252	6	)	)	PUNCT
ejpam-3998	252	7	+	+	PUNCT
ejpam-3998	252	8	ηssls(h	ηssls(h	NOUN
ejpam-3998	252	9	)	)	PUNCT
ejpam-3998	252	10	}	}	PUNCT
ejpam-3998	252	11	.	.	PUNCT
ejpam-3998	253	1	(	(	PUNCT
ejpam-3998	253	2	iv	iv	X
ejpam-3998	253	3	)	)	PUNCT
ejpam-3998	253	4	if	if	SCONJ
ejpam-3998	253	5	γ(g	γ(g	PROPN
ejpam-3998	253	6	)	)	PUNCT
ejpam-3998	253	7	6=	6=	ADP
ejpam-3998	253	8	1	1	NUM
ejpam-3998	253	9	and	and	CCONJ
ejpam-3998	253	10	γ(h	γ(h	NOUN
ejpam-3998	253	11	)	)	PUNCT
ejpam-3998	253	12	6=	6=	ADP
ejpam-3998	253	13	1	1	NUM
ejpam-3998	253	14	,	,	PUNCT
ejpam-3998	253	15	then	then	ADV
ejpam-3998	253	16	γsl	γsl	VERB
ejpam-3998	253	17	(	(	PUNCT
ejpam-3998	253	18	g+h	g+h	NOUN
ejpam-3998	253	19	)	)	PUNCT
ejpam-3998	253	20	=	=	SYM
ejpam-3998	253	21	min{ηslsls(g	min{ηslsls(g	PROPN
ejpam-3998	253	22	)	)	PUNCT
ejpam-3998	254	1	+	+	CCONJ
ejpam-3998	254	2	ηslsls(h	ηslsls(h	NOUN
ejpam-3998	254	3	)	)	PUNCT
ejpam-3998	254	4	,	,	PUNCT
ejpam-3998	254	5	ηsls(g	ηsls(g	PROPN
ejpam-3998	254	6	)	)	PUNCT
ejpam-3998	254	7	+	+	SYM
ejpam-3998	254	8	ηssls(h	ηssls(h	NOUN
ejpam-3998	254	9	)	)	PUNCT
ejpam-3998	254	10	,	,	PUNCT
ejpam-3998	254	11	ηssls(g	ηssls(g	PROPN
ejpam-3998	254	12	)	)	PUNCT
ejpam-3998	254	13	+	+	SYM
ejpam-3998	254	14	ηsls(h	ηsls(h	NOUN
ejpam-3998	254	15	)	)	PUNCT
ejpam-3998	254	16	}	}	PUNCT
ejpam-3998	254	17	.	.	PUNCT
ejpam-3998	255	1	proof	proof	NOUN
ejpam-3998	255	2	.	.	PUNCT
ejpam-3998	256	1	let	let	VERB
ejpam-3998	256	2	s	s	PRON
ejpam-3998	256	3	be	be	AUX
ejpam-3998	256	4	a	a	DET
ejpam-3998	256	5	γsl	γsl	NOUN
ejpam-3998	256	6	-set	-set	PUNCT
ejpam-3998	256	7	of	of	ADP
ejpam-3998	256	8	g+h	g+h	PROPN
ejpam-3998	256	9	.	.	PUNCT
ejpam-3998	257	1	by	by	ADP
ejpam-3998	257	2	theorem	theorem	NOUN
ejpam-3998	257	3	2	2	NUM
ejpam-3998	257	4	,	,	PUNCT
ejpam-3998	257	5	s	s	PART
ejpam-3998	257	6	=	=	PUNCT
ejpam-3998	257	7	sg	sg	X
ejpam-3998	257	8	∪	∪	NOUN
ejpam-3998	257	9	sh	sh	PROPN
ejpam-3998	257	10	and	and	CCONJ
ejpam-3998	257	11	sg	sg	PROPN
ejpam-3998	257	12	and	and	CCONJ
ejpam-3998	257	13	sh	sh	PROPN
ejpam-3998	257	14	are	be	AUX
ejpam-3998	257	15	stable	stable	ADJ
ejpam-3998	257	16	locating	locating	NOUN
ejpam-3998	257	17	sets	set	NOUN
ejpam-3998	257	18	of	of	ADP
ejpam-3998	257	19	g	g	PROPN
ejpam-3998	257	20	and	and	CCONJ
ejpam-3998	257	21	h	h	NOUN
ejpam-3998	257	22	,	,	PUNCT
ejpam-3998	257	23	respectively	respectively	ADV
ejpam-3998	257	24	.	.	PUNCT
ejpam-3998	258	1	(	(	PUNCT
ejpam-3998	258	2	i	i	NOUN
ejpam-3998	258	3	)	)	PUNCT
ejpam-3998	258	4	if	if	SCONJ
ejpam-3998	258	5	γ(g	γ(g	PROPN
ejpam-3998	258	6	)	)	PUNCT
ejpam-3998	258	7	=	=	SYM
ejpam-3998	258	8	γ(h	γ(h	NOUN
ejpam-3998	258	9	)	)	PUNCT
ejpam-3998	258	10	=	=	SYM
ejpam-3998	259	1	1	1	NUM
ejpam-3998	259	2	,	,	PUNCT
ejpam-3998	259	3	then	then	ADV
ejpam-3998	259	4	g	g	PROPN
ejpam-3998	259	5	and	and	CCONJ
ejpam-3998	259	6	h	h	NOUN
ejpam-3998	259	7	do	do	AUX
ejpam-3998	259	8	not	not	PART
ejpam-3998	259	9	admit	admit	VERB
ejpam-3998	259	10	stable	stable	ADJ
ejpam-3998	259	11	strictly	strictly	ADV
ejpam-3998	259	12	locating	locate	VERB
ejpam-3998	259	13	sets	set	NOUN
ejpam-3998	259	14	by	by	ADP
ejpam-3998	259	15	theorem	theorem	NOUN
ejpam-3998	259	16	3	3	NUM
ejpam-3998	259	17	.	.	PUNCT
ejpam-3998	259	18	by	by	ADP
ejpam-3998	259	19	theorem	theorem	NOUN
ejpam-3998	259	20	2	2	NUM
ejpam-3998	259	21	,	,	PUNCT
ejpam-3998	259	22	sg	sg	PROPN
ejpam-3998	259	23	and	and	CCONJ
ejpam-3998	259	24	sh	sh	PROPN
ejpam-3998	259	25	are	be	AUX
ejpam-3998	259	26	both	both	PRON
ejpam-3998	259	27	strictly	strictly	ADV
ejpam-3998	259	28	locating	locate	VERB
ejpam-3998	259	29	sets	set	NOUN
ejpam-3998	259	30	.	.	PUNCT
ejpam-3998	260	1	thus	thus	ADV
ejpam-3998	260	2	,	,	PUNCT
ejpam-3998	260	3	γsl	γsl	PROPN
ejpam-3998	260	4	(	(	PUNCT
ejpam-3998	260	5	g+h	g+h	NOUN
ejpam-3998	260	6	)	)	PUNCT
ejpam-3998	260	7	=	=	SYM
ejpam-3998	260	8	ηslsls(g	ηslsls(g	PROPN
ejpam-3998	260	9	)	)	PUNCT
ejpam-3998	260	10	+	+	CCONJ
ejpam-3998	260	11	ηslsls(h	ηslsls(h	NOUN
ejpam-3998	260	12	)	)	PUNCT
ejpam-3998	260	13	.	.	PUNCT
ejpam-3998	261	1	(	(	PUNCT
ejpam-3998	261	2	ii	ii	NOUN
ejpam-3998	261	3	)	)	PUNCT
ejpam-3998	261	4	suppose	suppose	VERB
ejpam-3998	261	5	γ(g	γ(g	NOUN
ejpam-3998	261	6	)	)	PUNCT
ejpam-3998	261	7	6=	6=	ADP
ejpam-3998	261	8	1	1	NUM
ejpam-3998	261	9	and	and	CCONJ
ejpam-3998	261	10	γ(g	γ(g	PROPN
ejpam-3998	261	11	)	)	PUNCT
ejpam-3998	262	1	=	=	PUNCT
ejpam-3998	262	2	1	1	X
ejpam-3998	262	3	.	.	PUNCT
ejpam-3998	262	4	then	then	ADV
ejpam-3998	262	5	only	only	ADV
ejpam-3998	262	6	h	h	NOUN
ejpam-3998	262	7	does	do	AUX
ejpam-3998	262	8	not	not	PART
ejpam-3998	262	9	admit	admit	VERB
ejpam-3998	262	10	a	a	DET
ejpam-3998	262	11	stable	stable	ADJ
ejpam-3998	262	12	strictly	strictly	ADV
ejpam-3998	262	13	locating	locate	VERB
ejpam-3998	262	14	set	set	NOUN
ejpam-3998	262	15	.	.	PUNCT
ejpam-3998	263	1	by	by	ADP
ejpam-3998	263	2	theorem	theorem	NOUN
ejpam-3998	263	3	2	2	NUM
ejpam-3998	263	4	and	and	CCONJ
ejpam-3998	263	5	by	by	ADP
ejpam-3998	263	6	combining	combine	VERB
ejpam-3998	263	7	all	all	DET
ejpam-3998	263	8	possible	possible	ADJ
ejpam-3998	263	9	pairings	pairing	NOUN
ejpam-3998	263	10	,	,	PUNCT
ejpam-3998	263	11	we	we	PRON
ejpam-3998	263	12	have	have	AUX
ejpam-3998	263	13	γsl	γsl	VERB
ejpam-3998	263	14	(	(	PUNCT
ejpam-3998	263	15	g+h	g+h	NOUN
ejpam-3998	263	16	)	)	PUNCT
ejpam-3998	263	17	=	=	SYM
ejpam-3998	263	18	min{ηslsls(g	min{ηslsls(g	PROPN
ejpam-3998	263	19	)	)	PUNCT
ejpam-3998	264	1	+	+	CCONJ
ejpam-3998	264	2	ηslsls(h	ηslsls(h	NOUN
ejpam-3998	264	3	)	)	PUNCT
ejpam-3998	264	4	,	,	PUNCT
ejpam-3998	264	5	ηssls(g	ηssls(g	PROPN
ejpam-3998	264	6	)	)	PUNCT
ejpam-3998	264	7	+	+	SYM
ejpam-3998	264	8	ηsls(h	ηsls(h	NOUN
ejpam-3998	264	9	)	)	PUNCT
ejpam-3998	264	10	}	}	PUNCT
ejpam-3998	264	11	.	.	PUNCT
ejpam-3998	265	1	(	(	PUNCT
ejpam-3998	265	2	iii	iii	X
ejpam-3998	265	3	)	)	PUNCT
ejpam-3998	265	4	this	this	PRON
ejpam-3998	265	5	is	be	AUX
ejpam-3998	265	6	similar	similar	ADJ
ejpam-3998	265	7	to	to	ADP
ejpam-3998	265	8	(	(	PUNCT
ejpam-3998	265	9	ii	ii	NOUN
ejpam-3998	265	10	)	)	PUNCT
ejpam-3998	265	11	.	.	PUNCT
ejpam-3998	266	1	(	(	PUNCT
ejpam-3998	266	2	iv	iv	X
ejpam-3998	266	3	)	)	PUNCT
ejpam-3998	266	4	since	since	SCONJ
ejpam-3998	266	5	each	each	PRON
ejpam-3998	266	6	of	of	ADP
ejpam-3998	266	7	the	the	DET
ejpam-3998	266	8	graphs	graph	NOUN
ejpam-3998	266	9	g	g	PROPN
ejpam-3998	266	10	and	and	CCONJ
ejpam-3998	266	11	h	h	PROPN
ejpam-3998	266	12	admits	admit	VERB
ejpam-3998	266	13	a	a	DET
ejpam-3998	266	14	stable	stable	ADJ
ejpam-3998	266	15	strictly	strictly	ADV
ejpam-3998	266	16	locating	locate	VERB
ejpam-3998	266	17	set	set	NOUN
ejpam-3998	266	18	,	,	PUNCT
ejpam-3998	266	19	it	it	PRON
ejpam-3998	266	20	follows	follow	VERB
ejpam-3998	266	21	from	from	ADP
ejpam-3998	266	22	theorem	theorem	ADJ
ejpam-3998	266	23	2	2	NUM
ejpam-3998	266	24	that	that	PRON
ejpam-3998	266	25	γsl	γsl	VERB
ejpam-3998	266	26	(	(	PUNCT
ejpam-3998	266	27	g+h	g+h	NOUN
ejpam-3998	266	28	)	)	PUNCT
ejpam-3998	266	29	=	=	SYM
ejpam-3998	266	30	min{ηslsls(g	min{ηslsls(g	PROPN
ejpam-3998	266	31	)	)	PUNCT
ejpam-3998	267	1	+	+	CCONJ
ejpam-3998	267	2	ηslsls(h	ηslsls(h	NOUN
ejpam-3998	267	3	)	)	PUNCT
ejpam-3998	267	4	,	,	PUNCT
ejpam-3998	267	5	ηssls(g	ηssls(g	PROPN
ejpam-3998	267	6	)	)	PUNCT
ejpam-3998	267	7	+	+	CCONJ
ejpam-3998	267	8	ηsls(h	ηsls(h	NOUN
ejpam-3998	267	9	)	)	PUNCT
ejpam-3998	267	10	,	,	PUNCT
ejpam-3998	267	11	ηssls(g	ηssls(g	PROPN
ejpam-3998	267	12	)	)	PUNCT
ejpam-3998	267	13	+	+	SYM
ejpam-3998	267	14	ηsls(h	ηsls(h	NOUN
ejpam-3998	267	15	)	)	PUNCT
ejpam-3998	267	16	}	}	PUNCT
ejpam-3998	267	17	.	.	PUNCT
ejpam-3998	268	1	these	these	PRON
ejpam-3998	268	2	prove	prove	VERB
ejpam-3998	268	3	our	our	PRON
ejpam-3998	268	4	assertions	assertion	NOUN
ejpam-3998	268	5	.	.	PUNCT
ejpam-3998	269	1	the	the	DET
ejpam-3998	269	2	corona	corona	NOUN
ejpam-3998	269	3	g	g	PROPN
ejpam-3998	269	4	◦	◦	NOUN
ejpam-3998	269	5	h	h	NOUN
ejpam-3998	269	6	of	of	ADP
ejpam-3998	269	7	two	two	NUM
ejpam-3998	269	8	graphs	graph	NOUN
ejpam-3998	269	9	g	g	NOUN
ejpam-3998	269	10	and	and	CCONJ
ejpam-3998	269	11	h	h	NOUN
ejpam-3998	269	12	is	be	AUX
ejpam-3998	269	13	the	the	DET
ejpam-3998	269	14	graph	graph	NOUN
ejpam-3998	269	15	obtained	obtain	VERB
ejpam-3998	269	16	by	by	ADP
ejpam-3998	269	17	taking	take	VERB
ejpam-3998	269	18	one	one	NUM
ejpam-3998	269	19	copy	copy	NOUN
ejpam-3998	269	20	of	of	ADP
ejpam-3998	269	21	g	g	PROPN
ejpam-3998	269	22	and	and	CCONJ
ejpam-3998	269	23	|v	|v	PROPN
ejpam-3998	269	24	(	(	PUNCT
ejpam-3998	269	25	g)|	g)|	NOUN
ejpam-3998	269	26	copies	copy	NOUN
ejpam-3998	269	27	of	of	ADP
ejpam-3998	269	28	h	h	NOUN
ejpam-3998	269	29	,	,	PUNCT
ejpam-3998	269	30	and	and	CCONJ
ejpam-3998	269	31	then	then	ADV
ejpam-3998	269	32	forming	form	VERB
ejpam-3998	269	33	the	the	DET
ejpam-3998	269	34	join	join	NOUN
ejpam-3998	269	35	〈	〈	PROPN
ejpam-3998	269	36	{	{	PUNCT
ejpam-3998	269	37	v}〉+hv	v}〉+hv	PROPN
ejpam-3998	269	38	=	=	SYM
ejpam-3998	269	39	v	v	PROPN
ejpam-3998	269	40	+	+	PROPN
ejpam-3998	269	41	hv	hv	PROPN
ejpam-3998	269	42	,	,	PUNCT
ejpam-3998	269	43	where	where	SCONJ
ejpam-3998	269	44	hv	hv	PROPN
ejpam-3998	269	45	is	be	AUX
ejpam-3998	269	46	a	a	DET
ejpam-3998	269	47	copy	copy	NOUN
ejpam-3998	269	48	of	of	ADP
ejpam-3998	269	49	h	h	NOUN
ejpam-3998	269	50	,	,	PUNCT
ejpam-3998	269	51	for	for	ADP
ejpam-3998	269	52	each	each	DET
ejpam-3998	269	53	v	v	NUM
ejpam-3998	269	54	∈	∈	PROPN
ejpam-3998	269	55	v	v	NOUN
ejpam-3998	269	56	(	(	PUNCT
ejpam-3998	269	57	g	g	NOUN
ejpam-3998	269	58	)	)	PUNCT
ejpam-3998	269	59	.	.	PUNCT
ejpam-3998	270	1	theorem	theorem	NOUN
ejpam-3998	270	2	5	5	NUM
ejpam-3998	270	3	.	.	PUNCT
ejpam-3998	271	1	let	let	VERB
ejpam-3998	271	2	g	g	PRON
ejpam-3998	271	3	be	be	AUX
ejpam-3998	271	4	a	a	DET
ejpam-3998	271	5	connected	connected	ADJ
ejpam-3998	271	6	non	non	ADJ
ejpam-3998	271	7	-	-	ADJ
ejpam-3998	271	8	trivial	trivial	ADJ
ejpam-3998	271	9	graph	graph	NOUN
ejpam-3998	271	10	and	and	CCONJ
ejpam-3998	271	11	let	let	VERB
ejpam-3998	271	12	h	h	NOUN
ejpam-3998	271	13	be	be	AUX
ejpam-3998	271	14	any	any	DET
ejpam-3998	271	15	graph	graph	NOUN
ejpam-3998	271	16	without	without	ADP
ejpam-3998	271	17	isolated	isolated	ADJ
ejpam-3998	271	18	vertices	vertex	NOUN
ejpam-3998	271	19	.	.	PUNCT
ejpam-3998	272	1	then	then	ADV
ejpam-3998	272	2	s	s	VERB
ejpam-3998	272	3	⊆	⊆	NUM
ejpam-3998	272	4	v	v	NOUN
ejpam-3998	272	5	(	(	PUNCT
ejpam-3998	272	6	g	g	PROPN
ejpam-3998	272	7	◦	◦	NOUN
ejpam-3998	272	8	h	h	NOUN
ejpam-3998	272	9	)	)	PUNCT
ejpam-3998	272	10	is	be	AUX
ejpam-3998	272	11	a	a	DET
ejpam-3998	272	12	stable	stable	ADJ
ejpam-3998	272	13	locating	locating	NOUN
ejpam-3998	272	14	-	-	PUNCT
ejpam-3998	272	15	dominating	dominate	VERB
ejpam-3998	272	16	set	set	NOUN
ejpam-3998	272	17	of	of	ADP
ejpam-3998	272	18	g	g	PROPN
ejpam-3998	272	19	◦	◦	NOUN
ejpam-3998	272	20	h	h	NOUN
ejpam-3998	272	21	if	if	SCONJ
ejpam-3998	273	1	and	and	CCONJ
ejpam-3998	273	2	only	only	ADV
ejpam-3998	273	3	if	if	SCONJ
ejpam-3998	273	4	s	s	VERB
ejpam-3998	273	5	=	=	X
ejpam-3998	273	6	a	a	DET
ejpam-3998	273	7	∪	∪	NOUN
ejpam-3998	273	8	[	[	X
ejpam-3998	273	9	∪v∈v	∪v∈v	X
ejpam-3998	273	10	(	(	PUNCT
ejpam-3998	273	11	g)dv	g)dv	NOUN
ejpam-3998	273	12	]	]	PUNCT
ejpam-3998	273	13	and	and	CCONJ
ejpam-3998	273	14	satisfies	satisfy	VERB
ejpam-3998	273	15	the	the	DET
ejpam-3998	273	16	following	follow	VERB
ejpam-3998	273	17	properties	property	NOUN
ejpam-3998	273	18	:	:	PUNCT
ejpam-3998	273	19	(	(	PUNCT
ejpam-3998	273	20	i	i	NOUN
ejpam-3998	273	21	)	)	PUNCT
ejpam-3998	273	22	a	a	DET
ejpam-3998	273	23	⊆	⊆	NUM
ejpam-3998	273	24	v	v	NOUN
ejpam-3998	273	25	(	(	PUNCT
ejpam-3998	273	26	g	g	NOUN
ejpam-3998	273	27	)	)	PUNCT
ejpam-3998	273	28	.	.	PUNCT
ejpam-3998	274	1	e.	e.	PROPN
ejpam-3998	274	2	ahmad	ahmad	PROPN
ejpam-3998	274	3	,	,	PUNCT
ejpam-3998	274	4	g.	g.	PROPN
ejpam-3998	274	5	malacas	malacas	PROPN
ejpam-3998	274	6	,	,	PUNCT
ejpam-3998	274	7	s.	s.	PROPN
ejpam-3998	274	8	canoy	canoy	PROPN
ejpam-3998	274	9	,	,	PUNCT
ejpam-3998	274	10	jr	jr	PROPN
ejpam-3998	274	11	.	.	PROPN
ejpam-3998	274	12	/	/	SYM
ejpam-3998	274	13	eur	eur	PROPN
ejpam-3998	274	14	.	.	PUNCT
ejpam-3998	275	1	j.	j.	PROPN
ejpam-3998	275	2	pure	pure	PROPN
ejpam-3998	275	3	appl	appl	PROPN
ejpam-3998	275	4	.	.	PROPN
ejpam-3998	275	5	math	math	PROPN
ejpam-3998	275	6	,	,	PUNCT
ejpam-3998	275	7	14	14	NUM
ejpam-3998	275	8	(	(	PUNCT
ejpam-3998	275	9	3	3	NUM
ejpam-3998	275	10	)	)	PUNCT
ejpam-3998	275	11	(	(	PUNCT
ejpam-3998	275	12	2021	2021	NUM
ejpam-3998	275	13	)	)	PUNCT
ejpam-3998	275	14	,	,	PUNCT
ejpam-3998	275	15	638	638	NUM
ejpam-3998	275	16	-	-	SYM
ejpam-3998	275	17	649	649	NUM
ejpam-3998	275	18	646	646	NUM
ejpam-3998	275	19	(	(	PUNCT
ejpam-3998	275	20	ii	ii	NOUN
ejpam-3998	275	21	)	)	PUNCT
ejpam-3998	275	22	dv	dv	PROPN
ejpam-3998	275	23	is	be	AUX
ejpam-3998	275	24	a	a	DET
ejpam-3998	275	25	stable	stable	ADJ
ejpam-3998	275	26	locating	locating	NOUN
ejpam-3998	275	27	-	-	PUNCT
ejpam-3998	275	28	dominating	dominate	VERB
ejpam-3998	275	29	set	set	NOUN
ejpam-3998	275	30	of	of	ADP
ejpam-3998	275	31	hv	hv	PROPN
ejpam-3998	275	32	for	for	ADP
ejpam-3998	275	33	each	each	DET
ejpam-3998	275	34	v	v	X
ejpam-3998	275	35	∈	∈	NOUN
ejpam-3998	275	36	(	(	PUNCT
ejpam-3998	275	37	v	v	NOUN
ejpam-3998	275	38	(	(	PUNCT
ejpam-3998	275	39	g	g	NOUN
ejpam-3998	275	40	)	)	PUNCT
ejpam-3998	275	41	\	\	PROPN
ejpam-3998	276	1	a	a	PRON
ejpam-3998	276	2	)	)	PUNCT
ejpam-3998	276	3	,	,	PUNCT
ejpam-3998	276	4	and	and	CCONJ
ejpam-3998	276	5	,	,	PUNCT
ejpam-3998	276	6	in	in	ADP
ejpam-3998	276	7	addition	addition	NOUN
ejpam-3998	276	8	,	,	PUNCT
ejpam-3998	276	9	strictly	strictly	ADV
ejpam-3998	276	10	locating	locate	VERB
ejpam-3998	276	11	when	when	SCONJ
ejpam-3998	276	12	|ng(v	|ng(v	VERB
ejpam-3998	276	13	)	)	PUNCT
ejpam-3998	276	14	∩a|	∩a|	PUNCT
ejpam-3998	276	15	=	=	SYM
ejpam-3998	276	16	1	1	X
ejpam-3998	276	17	.	.	PUNCT
ejpam-3998	276	18	(	(	PUNCT
ejpam-3998	276	19	iii	iii	X
ejpam-3998	276	20	)	)	PUNCT
ejpam-3998	276	21	dv	dv	PROPN
ejpam-3998	276	22	is	be	AUX
ejpam-3998	276	23	a	a	DET
ejpam-3998	276	24	stable	stable	ADJ
ejpam-3998	276	25	strictly	strictly	ADV
ejpam-3998	276	26	locating	locate	VERB
ejpam-3998	276	27	-	-	PUNCT
ejpam-3998	276	28	dominating	dominate	VERB
ejpam-3998	276	29	set	set	NOUN
ejpam-3998	276	30	of	of	ADP
ejpam-3998	276	31	hv	hv	PROPN
ejpam-3998	276	32	for	for	ADP
ejpam-3998	276	33	each	each	DET
ejpam-3998	276	34	v	v	NUM
ejpam-3998	276	35	∈	∈	PROPN
ejpam-3998	276	36	v	v	NOUN
ejpam-3998	276	37	(	(	PUNCT
ejpam-3998	276	38	g	g	NOUN
ejpam-3998	276	39	)	)	PUNCT
ejpam-3998	276	40	\ng(a	\ng(a	PROPN
ejpam-3998	276	41	)	)	PUNCT
ejpam-3998	276	42	.	.	PUNCT
ejpam-3998	277	1	(	(	PUNCT
ejpam-3998	277	2	iv	iv	X
ejpam-3998	277	3	)	)	PUNCT
ejpam-3998	277	4	dv	dv	PROPN
ejpam-3998	277	5	is	be	AUX
ejpam-3998	277	6	a	a	DET
ejpam-3998	277	7	dominating	dominate	VERB
ejpam-3998	277	8	stable	stable	ADJ
ejpam-3998	277	9	locating	locating	NOUN
ejpam-3998	277	10	set	set	NOUN
ejpam-3998	277	11	for	for	ADP
ejpam-3998	277	12	each	each	DET
ejpam-3998	277	13	v	v	ADP
ejpam-3998	277	14	∈	∈	PROPN
ejpam-3998	277	15	a	a	PRON
ejpam-3998	277	16	and	and	CCONJ
ejpam-3998	277	17	,	,	PUNCT
ejpam-3998	277	18	in	in	ADP
ejpam-3998	277	19	addition	addition	NOUN
ejpam-3998	277	20	,	,	PUNCT
ejpam-3998	277	21	strictly	strictly	ADV
ejpam-3998	277	22	locating	locate	VERB
ejpam-3998	277	23	when	when	SCONJ
ejpam-3998	277	24	ng(v	ng(v	PUNCT
ejpam-3998	277	25	)	)	PUNCT
ejpam-3998	278	1	∩a	∩a	PROPN
ejpam-3998	278	2	=	=	PUNCT
ejpam-3998	278	3	∅.	∅.	NOUN
ejpam-3998	278	4	proof	proof	NOUN
ejpam-3998	278	5	.	.	PUNCT
ejpam-3998	279	1	suppose	suppose	VERB
ejpam-3998	279	2	that	that	SCONJ
ejpam-3998	279	3	s	s	VERB
ejpam-3998	279	4	is	be	AUX
ejpam-3998	279	5	a	a	DET
ejpam-3998	279	6	stable	stable	ADJ
ejpam-3998	279	7	locating	locating	NOUN
ejpam-3998	279	8	-	-	PUNCT
ejpam-3998	279	9	dominating	dominate	VERB
ejpam-3998	279	10	set	set	NOUN
ejpam-3998	279	11	of	of	ADP
ejpam-3998	279	12	g	g	PROPN
ejpam-3998	279	13	◦	◦	NOUN
ejpam-3998	279	14	h.	h.	NOUN
ejpam-3998	279	15	let	let	VERB
ejpam-3998	279	16	a	a	DET
ejpam-3998	279	17	=	=	VERB
ejpam-3998	279	18	s	s	NOUN
ejpam-3998	279	19	∩v	∩v	NOUN
ejpam-3998	279	20	(	(	PUNCT
ejpam-3998	279	21	g	g	NOUN
ejpam-3998	279	22	)	)	PUNCT
ejpam-3998	279	23	and	and	CCONJ
ejpam-3998	279	24	let	let	VERB
ejpam-3998	279	25	dv	dv	PROPN
ejpam-3998	279	26	=	=	PROPN
ejpam-3998	279	27	s	s	PROPN
ejpam-3998	279	28	∩	∩	ADJ
ejpam-3998	279	29	v	v	X
ejpam-3998	279	30	(	(	PUNCT
ejpam-3998	279	31	hv	hv	PROPN
ejpam-3998	279	32	)	)	PUNCT
ejpam-3998	279	33	for	for	ADP
ejpam-3998	279	34	each	each	DET
ejpam-3998	279	35	v	v	NUM
ejpam-3998	279	36	∈	∈	PROPN
ejpam-3998	279	37	v	v	NOUN
ejpam-3998	279	38	(	(	PUNCT
ejpam-3998	279	39	g	g	NOUN
ejpam-3998	279	40	)	)	PUNCT
ejpam-3998	279	41	.	.	PUNCT
ejpam-3998	280	1	then	then	ADV
ejpam-3998	280	2	(	(	PUNCT
ejpam-3998	280	3	i	i	NOUN
ejpam-3998	280	4	)	)	PUNCT
ejpam-3998	280	5	holds	hold	VERB
ejpam-3998	280	6	and	and	CCONJ
ejpam-3998	280	7	s	s	VERB
ejpam-3998	280	8	=	=	NOUN
ejpam-3998	280	9	a	a	DET
ejpam-3998	280	10	∪	∪	ADJ
ejpam-3998	280	11	[	[	X
ejpam-3998	280	12	∪v∈v	∪v∈v	X
ejpam-3998	280	13	(	(	PUNCT
ejpam-3998	280	14	g)dv	g)dv	PROPN
ejpam-3998	280	15	]	]	PUNCT
ejpam-3998	280	16	.	.	PUNCT
ejpam-3998	281	1	suppose	suppose	VERB
ejpam-3998	281	2	dv	dv	PROPN
ejpam-3998	281	3	=	=	PROPN
ejpam-3998	281	4	∅	∅	NOUN
ejpam-3998	281	5	for	for	ADP
ejpam-3998	281	6	some	some	DET
ejpam-3998	281	7	v	v	ADP
ejpam-3998	281	8	∈	∈	NOUN
ejpam-3998	281	9	v	v	NOUN
ejpam-3998	281	10	(	(	PUNCT
ejpam-3998	281	11	g	g	NOUN
ejpam-3998	281	12	)	)	PUNCT
ejpam-3998	281	13	.	.	PUNCT
ejpam-3998	282	1	since	since	SCONJ
ejpam-3998	282	2	s	s	PROPN
ejpam-3998	282	3	is	be	AUX
ejpam-3998	282	4	a	a	DET
ejpam-3998	282	5	dominating	dominating	NOUN
ejpam-3998	282	6	set	set	NOUN
ejpam-3998	282	7	,	,	PUNCT
ejpam-3998	282	8	v	v	NOUN
ejpam-3998	282	9	∈	∈	NOUN
ejpam-3998	282	10	a.	a.	NOUN
ejpam-3998	282	11	as	as	ADP
ejpam-3998	282	12	s	s	PROPN
ejpam-3998	282	13	is	be	AUX
ejpam-3998	282	14	a	a	DET
ejpam-3998	282	15	stable	stable	ADJ
ejpam-3998	282	16	locating	locating	NOUN
ejpam-3998	282	17	-	-	PUNCT
ejpam-3998	282	18	dominating	dominating	NOUN
ejpam-3998	282	19	set	set	NOUN
ejpam-3998	282	20	,	,	PUNCT
ejpam-3998	282	21	this	this	PRON
ejpam-3998	282	22	would	would	AUX
ejpam-3998	282	23	imply	imply	VERB
ejpam-3998	282	24	that	that	PRON
ejpam-3998	282	25	sv	sv	AUX
ejpam-3998	282	26	=	=	SYM
ejpam-3998	282	27	s	s	PROPN
ejpam-3998	282	28	\	\	X
ejpam-3998	282	29	{	{	PUNCT
ejpam-3998	282	30	v	v	NOUN
ejpam-3998	282	31	}	}	PUNCT
ejpam-3998	282	32	is	be	AUX
ejpam-3998	282	33	a	a	DET
ejpam-3998	282	34	locating	locate	VERB
ejpam-3998	282	35	-	-	PUNCT
ejpam-3998	282	36	dominating	dominate	VERB
ejpam-3998	282	37	set	set	NOUN
ejpam-3998	282	38	of	of	ADP
ejpam-3998	282	39	g	g	PROPN
ejpam-3998	282	40	◦	◦	NOUN
ejpam-3998	282	41	h.	h.	PROPN
ejpam-3998	282	42	this	this	PRON
ejpam-3998	282	43	,	,	PUNCT
ejpam-3998	282	44	however	however	ADV
ejpam-3998	282	45	,	,	PUNCT
ejpam-3998	282	46	is	be	AUX
ejpam-3998	282	47	impossible	impossible	ADJ
ejpam-3998	282	48	because	because	SCONJ
ejpam-3998	282	49	the	the	DET
ejpam-3998	282	50	v	v	NOUN
ejpam-3998	282	51	(	(	PUNCT
ejpam-3998	282	52	hv)∩ng	hv)∩ng	PROPN
ejpam-3998	282	53	◦	◦	NOUN
ejpam-3998	282	54	h	h	NOUN
ejpam-3998	283	1	[	[	X
ejpam-3998	283	2	sv	sv	X
ejpam-3998	283	3	]	]	X
ejpam-3998	283	4	=	=	PUNCT
ejpam-3998	283	5	∅.	∅.	VERB
ejpam-3998	283	6	thus	thus	ADV
ejpam-3998	283	7	,	,	PUNCT
ejpam-3998	283	8	sv	sv	PROPN
ejpam-3998	283	9	6=	6=	ADP
ejpam-3998	283	10	∅	∅	NOUN
ejpam-3998	283	11	for	for	ADP
ejpam-3998	283	12	each	each	DET
ejpam-3998	283	13	v	v	NUM
ejpam-3998	283	14	∈	∈	PROPN
ejpam-3998	283	15	v	v	NOUN
ejpam-3998	283	16	(	(	PUNCT
ejpam-3998	283	17	g	g	NOUN
ejpam-3998	283	18	)	)	PUNCT
ejpam-3998	283	19	.	.	PUNCT
ejpam-3998	284	1	let	let	VERB
ejpam-3998	284	2	v	v	NUM
ejpam-3998	284	3	∈	∈	PROPN
ejpam-3998	284	4	v	v	NOUN
ejpam-3998	284	5	(	(	PUNCT
ejpam-3998	284	6	g	g	NOUN
ejpam-3998	284	7	)	)	PUNCT
ejpam-3998	284	8	\	\	NOUN
ejpam-3998	284	9	a.	a.	NOUN
ejpam-3998	284	10	since	since	SCONJ
ejpam-3998	284	11	s	s	PROPN
ejpam-3998	284	12	is	be	AUX
ejpam-3998	284	13	a	a	DET
ejpam-3998	284	14	stable	stable	ADJ
ejpam-3998	284	15	locating	locating	NOUN
ejpam-3998	284	16	-	-	PUNCT
ejpam-3998	284	17	dominating	dominate	VERB
ejpam-3998	284	18	set	set	NOUN
ejpam-3998	284	19	of	of	ADP
ejpam-3998	284	20	g	g	PROPN
ejpam-3998	284	21	◦	◦	NOUN
ejpam-3998	284	22	h	h	NOUN
ejpam-3998	284	23	and	and	CCONJ
ejpam-3998	284	24	v	v	NOUN
ejpam-3998	284	25	/∈	/∈	PROPN
ejpam-3998	285	1	a	a	PRON
ejpam-3998	285	2	,	,	PUNCT
ejpam-3998	285	3	dv	dv	PROPN
ejpam-3998	285	4	is	be	AUX
ejpam-3998	285	5	must	must	AUX
ejpam-3998	285	6	be	be	AUX
ejpam-3998	285	7	a	a	DET
ejpam-3998	285	8	stable	stable	ADJ
ejpam-3998	285	9	locating	locating	NOUN
ejpam-3998	285	10	dominating	dominating	NOUN
ejpam-3998	285	11	set	set	NOUN
ejpam-3998	285	12	of	of	ADP
ejpam-3998	285	13	hv	hv	PROPN
ejpam-3998	285	14	.	.	PUNCT
ejpam-3998	286	1	suppose	suppose	VERB
ejpam-3998	286	2	|ng(v	|ng(v	NOUN
ejpam-3998	286	3	)	)	PUNCT
ejpam-3998	286	4	∩	∩	NOUN
ejpam-3998	286	5	a|	a|	PROPN
ejpam-3998	286	6	=	=	SYM
ejpam-3998	286	7	1	1	NUM
ejpam-3998	286	8	,	,	PUNCT
ejpam-3998	286	9	say	say	VERB
ejpam-3998	286	10	w	w	PROPN
ejpam-3998	286	11	∈	∈	PROPN
ejpam-3998	286	12	ng(v)∩a	ng(v)∩a	PROPN
ejpam-3998	286	13	.	.	PUNCT
ejpam-3998	287	1	again	again	ADV
ejpam-3998	287	2	,	,	PUNCT
ejpam-3998	287	3	since	since	SCONJ
ejpam-3998	287	4	s	s	NOUN
ejpam-3998	287	5	is	be	AUX
ejpam-3998	287	6	a	a	DET
ejpam-3998	287	7	stable	stable	ADJ
ejpam-3998	287	8	locating	locating	NOUN
ejpam-3998	287	9	-	-	PUNCT
ejpam-3998	287	10	dominating	dominate	VERB
ejpam-3998	287	11	set	set	NOUN
ejpam-3998	287	12	of	of	ADP
ejpam-3998	287	13	g	g	PROPN
ejpam-3998	287	14	◦	◦	NOUN
ejpam-3998	287	15	h	h	NOUN
ejpam-3998	287	16	,	,	PUNCT
ejpam-3998	287	17	sw	sw	PROPN
ejpam-3998	287	18	=	=	SYM
ejpam-3998	287	19	s	s	PART
ejpam-3998	287	20	\	\	X
ejpam-3998	287	21	{	{	PUNCT
ejpam-3998	287	22	w	w	NOUN
ejpam-3998	287	23	}	}	PUNCT
ejpam-3998	287	24	is	be	AUX
ejpam-3998	287	25	a	a	DET
ejpam-3998	287	26	locating	locate	VERB
ejpam-3998	287	27	-	-	PUNCT
ejpam-3998	287	28	dominating	dominate	VERB
ejpam-3998	287	29	set	set	NOUN
ejpam-3998	287	30	of	of	ADP
ejpam-3998	287	31	g	g	PROPN
ejpam-3998	287	32	◦	◦	NOUN
ejpam-3998	287	33	h.	h.	NOUN
ejpam-3998	287	34	we	we	PRON
ejpam-3998	287	35	also	also	ADV
ejpam-3998	287	36	find	find	VERB
ejpam-3998	287	37	that	that	SCONJ
ejpam-3998	287	38	ng	ng	PROPN
ejpam-3998	287	39	◦	◦	NOUN
ejpam-3998	287	40	h(v	h(v	NOUN
ejpam-3998	287	41	)	)	PUNCT
ejpam-3998	287	42	∩	∩	NOUN
ejpam-3998	287	43	sw	sw	PROPN
ejpam-3998	287	44	=	=	SYM
ejpam-3998	287	45	dv	dv	PROPN
ejpam-3998	287	46	.	.	PUNCT
ejpam-3998	288	1	therefore	therefore	ADV
ejpam-3998	288	2	,	,	PUNCT
ejpam-3998	288	3	since	since	SCONJ
ejpam-3998	288	4	sw	sw	PROPN
ejpam-3998	288	5	is	be	AUX
ejpam-3998	288	6	a	a	DET
ejpam-3998	288	7	locating	locating	NOUN
ejpam-3998	288	8	set	set	NOUN
ejpam-3998	288	9	,	,	PUNCT
ejpam-3998	288	10	ng	ng	PROPN
ejpam-3998	288	11	◦	◦	PROPN
ejpam-3998	288	12	h(a	h(a	PROPN
ejpam-3998	288	13	)	)	PUNCT
ejpam-3998	288	14	∩	∩	NOUN
ejpam-3998	288	15	sw	sw	PROPN
ejpam-3998	288	16	=	=	SYM
ejpam-3998	288	17	nhv(a	nhv(a	PROPN
ejpam-3998	288	18	)	)	PUNCT
ejpam-3998	288	19	∩	∩	PROPN
ejpam-3998	289	1	dv	dv	PROPN
ejpam-3998	289	2	6=	6=	PROPN
ejpam-3998	289	3	dv	dv	PROPN
ejpam-3998	289	4	for	for	ADP
ejpam-3998	289	5	all	all	DET
ejpam-3998	290	1	a	a	DET
ejpam-3998	290	2	∈	∈	PROPN
ejpam-3998	290	3	v	v	ADP
ejpam-3998	290	4	(	(	PUNCT
ejpam-3998	290	5	hv	hv	PROPN
ejpam-3998	290	6	)	)	PUNCT
ejpam-3998	290	7	\	\	PROPN
ejpam-3998	290	8	dv	dv	PROPN
ejpam-3998	290	9	.	.	PUNCT
ejpam-3998	290	10	thus	thus	ADV
ejpam-3998	290	11	,	,	PUNCT
ejpam-3998	290	12	dv	dv	PROPN
ejpam-3998	290	13	is	be	AUX
ejpam-3998	290	14	a	a	DET
ejpam-3998	290	15	strictly	strictly	ADV
ejpam-3998	290	16	locating	locate	VERB
ejpam-3998	290	17	set	set	NOUN
ejpam-3998	290	18	of	of	ADP
ejpam-3998	290	19	hv	hv	PROPN
ejpam-3998	290	20	.	.	PUNCT
ejpam-3998	291	1	this	this	PRON
ejpam-3998	291	2	shows	show	VERB
ejpam-3998	291	3	that	that	SCONJ
ejpam-3998	291	4	(	(	PUNCT
ejpam-3998	291	5	ii	ii	NOUN
ejpam-3998	291	6	)	)	PUNCT
ejpam-3998	291	7	holds	hold	VERB
ejpam-3998	291	8	.	.	PUNCT
ejpam-3998	292	1	suppose	suppose	VERB
ejpam-3998	292	2	now	now	ADV
ejpam-3998	293	1	that	that	SCONJ
ejpam-3998	293	2	v	v	ADP
ejpam-3998	293	3	∈	∈	PROPN
ejpam-3998	293	4	v	v	NOUN
ejpam-3998	293	5	(	(	PUNCT
ejpam-3998	293	6	g	g	NOUN
ejpam-3998	293	7	)	)	PUNCT
ejpam-3998	293	8	\	\	PUNCT
ejpam-3998	294	1	ng[a	ng[a	NOUN
ejpam-3998	294	2	]	]	PUNCT
ejpam-3998	294	3	.	.	PUNCT
ejpam-3998	295	1	then	then	ADV
ejpam-3998	295	2	,	,	PUNCT
ejpam-3998	295	3	by	by	ADP
ejpam-3998	295	4	theorem	theorem	NOUN
ejpam-3998	295	5	1(ii	1(ii	NUM
ejpam-3998	295	6	)	)	PUNCT
ejpam-3998	295	7	,	,	PUNCT
ejpam-3998	295	8	dv	dv	PROPN
ejpam-3998	295	9	is	be	AUX
ejpam-3998	295	10	a	a	DET
ejpam-3998	295	11	stable	stable	ADJ
ejpam-3998	295	12	strictly	strictly	ADV
ejpam-3998	295	13	locating	locate	VERB
ejpam-3998	295	14	-	-	PUNCT
ejpam-3998	295	15	dominating	dominate	VERB
ejpam-3998	295	16	set	set	NOUN
ejpam-3998	295	17	of	of	ADP
ejpam-3998	295	18	hv	hv	PROPN
ejpam-3998	295	19	,	,	PUNCT
ejpam-3998	295	20	showing	show	VERB
ejpam-3998	295	21	that	that	SCONJ
ejpam-3998	295	22	(	(	PUNCT
ejpam-3998	295	23	iii	iii	NOUN
ejpam-3998	295	24	)	)	PUNCT
ejpam-3998	295	25	holds	hold	VERB
ejpam-3998	295	26	.	.	PUNCT
ejpam-3998	296	1	next	next	ADV
ejpam-3998	296	2	,	,	PUNCT
ejpam-3998	296	3	suppose	suppose	VERB
ejpam-3998	296	4	that	that	SCONJ
ejpam-3998	296	5	v	v	X
ejpam-3998	296	6	∈	∈	PROPN
ejpam-3998	296	7	a.	a.	NOUN
ejpam-3998	296	8	since	since	SCONJ
ejpam-3998	296	9	s	s	PROPN
ejpam-3998	296	10	is	be	AUX
ejpam-3998	296	11	a	a	DET
ejpam-3998	296	12	locating	locating	NOUN
ejpam-3998	296	13	set	set	NOUN
ejpam-3998	296	14	of	of	ADP
ejpam-3998	296	15	g	g	PROPN
ejpam-3998	296	16	◦	◦	NOUN
ejpam-3998	296	17	h	h	NOUN
ejpam-3998	296	18	and	and	CCONJ
ejpam-3998	296	19	v	v	ADP
ejpam-3998	296	20	∈	∈	PROPN
ejpam-3998	296	21	a	a	DET
ejpam-3998	296	22	,	,	PUNCT
ejpam-3998	296	23	[	[	X
ejpam-3998	296	24	nhv(p	nhv(p	NOUN
ejpam-3998	296	25	)	)	PUNCT
ejpam-3998	296	26	∩	∩	NOUN
ejpam-3998	296	27	dv	dv	PROPN
ejpam-3998	296	28	]	]	X
ejpam-3998	296	29	∪	∪	X
ejpam-3998	296	30	{	{	PUNCT
ejpam-3998	296	31	v	v	NOUN
ejpam-3998	296	32	}	}	PUNCT
ejpam-3998	296	33	=	=	SYM
ejpam-3998	296	34	ng	ng	PROPN
ejpam-3998	296	35	◦	◦	NOUN
ejpam-3998	296	36	h(p	h(p	NOUN
ejpam-3998	296	37	)	)	PUNCT
ejpam-3998	296	38	∩	∩	X
ejpam-3998	296	39	s	s	PART
ejpam-3998	296	40	6=	6=	PROPN
ejpam-3998	296	41	ng	ng	PROPN
ejpam-3998	296	42	◦	◦	NOUN
ejpam-3998	296	43	h(q	h(q	ADV
ejpam-3998	296	44	)	)	PUNCT
ejpam-3998	296	45	∩	∩	PROPN
ejpam-3998	296	46	s	s	PART
ejpam-3998	296	47	=	=	SYM
ejpam-3998	296	48	nhv(p	nhv(p	PROPN
ejpam-3998	296	49	)	)	PUNCT
ejpam-3998	296	50	∩dv	∩dv	NOUN
ejpam-3998	296	51	]	]	PUNCT
ejpam-3998	296	52	∪	∪	X
ejpam-3998	296	53	{	{	PUNCT
ejpam-3998	296	54	v	v	NOUN
ejpam-3998	296	55	}	}	PUNCT
ejpam-3998	296	56	for	for	ADP
ejpam-3998	296	57	all	all	DET
ejpam-3998	296	58	p	p	NOUN
ejpam-3998	296	59	,	,	PUNCT
ejpam-3998	296	60	q	q	PROPN
ejpam-3998	296	61	∈	∈	PROPN
ejpam-3998	296	62	v	v	ADP
ejpam-3998	296	63	(	(	PUNCT
ejpam-3998	296	64	hv	hv	PROPN
ejpam-3998	296	65	)	)	PUNCT
ejpam-3998	296	66	\dv	\dv	PROPN
ejpam-3998	296	67	with	with	ADP
ejpam-3998	296	68	p	p	PROPN
ejpam-3998	296	69	6=	6=	PROPN
ejpam-3998	296	70	q.	q.	PROPN
ejpam-3998	296	71	therefore	therefore	ADV
ejpam-3998	296	72	,	,	PUNCT
ejpam-3998	296	73	nhv(p	nhv(p	PROPN
ejpam-3998	296	74	)	)	PUNCT
ejpam-3998	296	75	∩dv	∩dv	NOUN
ejpam-3998	296	76	6=	6=	SYM
ejpam-3998	296	77	nhv(q	nhv(q	PROPN
ejpam-3998	296	78	)	)	PUNCT
ejpam-3998	296	79	∩dv	∩dv	NOUN
ejpam-3998	296	80	for	for	ADP
ejpam-3998	296	81	all	all	DET
ejpam-3998	296	82	p	p	NOUN
ejpam-3998	296	83	,	,	PUNCT
ejpam-3998	296	84	q	q	PROPN
ejpam-3998	296	85	∈	∈	PROPN
ejpam-3998	296	86	v	v	ADP
ejpam-3998	296	87	(	(	PUNCT
ejpam-3998	296	88	hv	hv	PROPN
ejpam-3998	296	89	)	)	PUNCT
ejpam-3998	296	90	\dv	\dv	PROPN
ejpam-3998	296	91	with	with	ADP
ejpam-3998	296	92	p	p	PROPN
ejpam-3998	296	93	6=	6=	ADP
ejpam-3998	296	94	q	q	PROPN
ejpam-3998	296	95	,	,	PUNCT
ejpam-3998	296	96	showing	show	VERB
ejpam-3998	296	97	that	that	SCONJ
ejpam-3998	296	98	dv	dv	PROPN
ejpam-3998	296	99	is	be	AUX
ejpam-3998	296	100	a	a	DET
ejpam-3998	296	101	locating	locate	VERB
ejpam-3998	296	102	set	set	NOUN
ejpam-3998	296	103	of	of	ADP
ejpam-3998	296	104	hv	hv	PROPN
ejpam-3998	296	105	.	.	PUNCT
ejpam-3998	297	1	now	now	ADV
ejpam-3998	297	2	,	,	PUNCT
ejpam-3998	297	3	since	since	SCONJ
ejpam-3998	297	4	s	s	NOUN
ejpam-3998	297	5	is	be	AUX
ejpam-3998	297	6	a	a	DET
ejpam-3998	297	7	stable	stable	ADJ
ejpam-3998	297	8	locating	locating	NOUN
ejpam-3998	297	9	-	-	PUNCT
ejpam-3998	297	10	dominating	dominating	NOUN
ejpam-3998	297	11	set	set	NOUN
ejpam-3998	297	12	,	,	PUNCT
ejpam-3998	297	13	it	it	PRON
ejpam-3998	297	14	follows	follow	VERB
ejpam-3998	297	15	that	that	PRON
ejpam-3998	297	16	s	s	VERB
ejpam-3998	297	17	\	\	PROPN
ejpam-3998	297	18	{	{	PUNCT
ejpam-3998	297	19	v	v	NOUN
ejpam-3998	297	20	}	}	PUNCT
ejpam-3998	297	21	is	be	AUX
ejpam-3998	297	22	a	a	DET
ejpam-3998	297	23	locating	locate	VERB
ejpam-3998	297	24	-	-	PUNCT
ejpam-3998	297	25	dominating	dominate	VERB
ejpam-3998	297	26	set	set	NOUN
ejpam-3998	297	27	of	of	ADP
ejpam-3998	297	28	g	g	PROPN
ejpam-3998	297	29	◦	◦	PROPN
ejpam-3998	297	30	h.	h.	NOUN
ejpam-3998	297	31	this	this	PRON
ejpam-3998	297	32	implies	imply	VERB
ejpam-3998	297	33	that	that	SCONJ
ejpam-3998	297	34	dv	dv	PROPN
ejpam-3998	297	35	is	be	AUX
ejpam-3998	297	36	a	a	DET
ejpam-3998	297	37	dominating	dominating	NOUN
ejpam-3998	297	38	set	set	NOUN
ejpam-3998	297	39	of	of	ADP
ejpam-3998	297	40	hv	hv	PROPN
ejpam-3998	297	41	.	.	PUNCT
ejpam-3998	298	1	let	let	VERB
ejpam-3998	298	2	x	x	SYM
ejpam-3998	298	3	∈	∈	PROPN
ejpam-3998	298	4	dv	dv	PROPN
ejpam-3998	298	5	and	and	CCONJ
ejpam-3998	298	6	set	set	VERB
ejpam-3998	298	7	dx	dx	PROPN
ejpam-3998	298	8	v	v	NOUN
ejpam-3998	298	9	=	=	SYM
ejpam-3998	298	10	dv	dv	PROPN
ejpam-3998	298	11	\{x	\{x	X
ejpam-3998	298	12	}	}	PUNCT
ejpam-3998	298	13	.	.	PUNCT
ejpam-3998	299	1	since	since	SCONJ
ejpam-3998	299	2	sx	sx	PROPN
ejpam-3998	299	3	=	=	PROPN
ejpam-3998	299	4	s	s	PART
ejpam-3998	299	5	\{x	\{x	X
ejpam-3998	299	6	}	}	PUNCT
ejpam-3998	299	7	is	be	AUX
ejpam-3998	299	8	a	a	DET
ejpam-3998	299	9	locating	locating	NOUN
ejpam-3998	299	10	set	set	NOUN
ejpam-3998	299	11	of	of	ADP
ejpam-3998	299	12	g	g	PROPN
ejpam-3998	299	13	◦	◦	NOUN
ejpam-3998	299	14	h	h	NOUN
ejpam-3998	299	15	,	,	PUNCT
ejpam-3998	299	16	it	it	PRON
ejpam-3998	299	17	follows	follow	VERB
ejpam-3998	299	18	that	that	SCONJ
ejpam-3998	299	19	dx	dx	PROPN
ejpam-3998	299	20	v	v	NOUN
ejpam-3998	299	21	is	be	AUX
ejpam-3998	299	22	a	a	DET
ejpam-3998	299	23	locating	locate	VERB
ejpam-3998	299	24	set	set	NOUN
ejpam-3998	299	25	of	of	ADP
ejpam-3998	299	26	hv	hv	PROPN
ejpam-3998	299	27	.	.	PUNCT
ejpam-3998	300	1	therefore	therefore	ADV
ejpam-3998	300	2	,	,	PUNCT
ejpam-3998	300	3	dv	dv	PROPN
ejpam-3998	300	4	is	be	AUX
ejpam-3998	300	5	a	a	DET
ejpam-3998	300	6	stable	stable	ADJ
ejpam-3998	300	7	locating	locating	NOUN
ejpam-3998	300	8	set	set	NOUN
ejpam-3998	300	9	of	of	ADP
ejpam-3998	300	10	hv	hv	PROPN
ejpam-3998	300	11	.	.	PUNCT
ejpam-3998	301	1	if	if	SCONJ
ejpam-3998	301	2	ng(v)∩a	ng(v)∩a	NOUN
ejpam-3998	301	3	=	=	SYM
ejpam-3998	301	4	∅	∅	NOUN
ejpam-3998	301	5	,	,	PUNCT
ejpam-3998	301	6	then	then	ADV
ejpam-3998	301	7	dv	dv	PROPN
ejpam-3998	301	8	∪{v	∪{v	PROPN
ejpam-3998	301	9	}	}	PUNCT
ejpam-3998	301	10	is	be	AUX
ejpam-3998	301	11	a	a	DET
ejpam-3998	301	12	stable	stable	ADJ
ejpam-3998	301	13	locating	locating	NOUN
ejpam-3998	301	14	-	-	PUNCT
ejpam-3998	301	15	dominating	dominate	VERB
ejpam-3998	301	16	set	set	NOUN
ejpam-3998	301	17	of	of	ADP
ejpam-3998	301	18	v+hv	v+hv	PROPN
ejpam-3998	301	19	.	.	PUNCT
ejpam-3998	302	1	by	by	ADP
ejpam-3998	302	2	theorem	theorem	NOUN
ejpam-3998	302	3	1(i	1(i	NUM
ejpam-3998	302	4	)	)	PUNCT
ejpam-3998	302	5	,	,	PUNCT
ejpam-3998	302	6	dv	dv	PROPN
ejpam-3998	302	7	is	be	AUX
ejpam-3998	302	8	a	a	DET
ejpam-3998	302	9	strictly	strictly	ADV
ejpam-3998	302	10	locating	locate	VERB
ejpam-3998	302	11	set	set	NOUN
ejpam-3998	302	12	of	of	ADP
ejpam-3998	302	13	hv	hv	PROPN
ejpam-3998	302	14	.	.	PUNCT
ejpam-3998	303	1	this	this	PRON
ejpam-3998	303	2	shows	show	VERB
ejpam-3998	303	3	that	that	SCONJ
ejpam-3998	303	4	(	(	PUNCT
ejpam-3998	303	5	iv	iv	X
ejpam-3998	303	6	)	)	PUNCT
ejpam-3998	303	7	holds	hold	NOUN
ejpam-3998	303	8	.	.	PUNCT
ejpam-3998	304	1	for	for	ADP
ejpam-3998	304	2	the	the	DET
ejpam-3998	304	3	converse	converse	NOUN
ejpam-3998	304	4	,	,	PUNCT
ejpam-3998	304	5	suppose	suppose	VERB
ejpam-3998	304	6	that	that	SCONJ
ejpam-3998	304	7	s	s	VERB
ejpam-3998	304	8	has	have	VERB
ejpam-3998	304	9	the	the	DET
ejpam-3998	304	10	given	give	VERB
ejpam-3998	304	11	form	form	NOUN
ejpam-3998	304	12	and	and	CCONJ
ejpam-3998	304	13	satisfies	satisfie	NOUN
ejpam-3998	304	14	properties	property	NOUN
ejpam-3998	304	15	(	(	PUNCT
ejpam-3998	304	16	i)-(iv	i)-(iv	ADJ
ejpam-3998	304	17	)	)	PUNCT
ejpam-3998	304	18	.	.	PUNCT
ejpam-3998	305	1	then	then	ADV
ejpam-3998	305	2	clearly	clearly	ADV
ejpam-3998	305	3	,	,	PUNCT
ejpam-3998	305	4	s	s	VERB
ejpam-3998	305	5	is	be	AUX
ejpam-3998	305	6	a	a	DET
ejpam-3998	305	7	dominating	dominating	NOUN
ejpam-3998	305	8	set	set	NOUN
ejpam-3998	305	9	of	of	ADP
ejpam-3998	305	10	g	g	PROPN
ejpam-3998	305	11	◦	◦	PROPN
ejpam-3998	305	12	h.	h.	PROPN
ejpam-3998	305	13	let	let	VERB
ejpam-3998	305	14	x	x	PRON
ejpam-3998	305	15	,	,	PUNCT
ejpam-3998	305	16	y	y	PROPN
ejpam-3998	305	17	∈	∈	PROPN
ejpam-3998	305	18	v	v	NOUN
ejpam-3998	305	19	(	(	PUNCT
ejpam-3998	305	20	g	g	PROPN
ejpam-3998	305	21	◦	◦	NOUN
ejpam-3998	305	22	h	h	NOUN
ejpam-3998	305	23	)	)	PUNCT
ejpam-3998	305	24	with	with	ADP
ejpam-3998	305	25	x	x	SYM
ejpam-3998	305	26	6=	6=	ADP
ejpam-3998	305	27	y	y	PROPN
ejpam-3998	305	28	and	and	CCONJ
ejpam-3998	305	29	let	let	VERB
ejpam-3998	305	30	v	v	NOUN
ejpam-3998	305	31	,	,	PUNCT
ejpam-3998	305	32	w	w	PROPN
ejpam-3998	305	33	∈	∈	PROPN
ejpam-3998	305	34	v	v	ADP
ejpam-3998	305	35	(	(	PUNCT
ejpam-3998	305	36	g	g	NOUN
ejpam-3998	305	37	)	)	PUNCT
ejpam-3998	305	38	such	such	ADJ
ejpam-3998	305	39	that	that	SCONJ
ejpam-3998	305	40	x	x	SYM
ejpam-3998	305	41	∈	∈	NOUN
ejpam-3998	305	42	v	v	NOUN
ejpam-3998	305	43	(	(	PUNCT
ejpam-3998	305	44	v	v	PROPN
ejpam-3998	305	45	+	+	NOUN
ejpam-3998	305	46	hv	hv	NOUN
ejpam-3998	305	47	)	)	PUNCT
ejpam-3998	305	48	and	and	CCONJ
ejpam-3998	305	49	y	y	PROPN
ejpam-3998	305	50	∈	∈	PROPN
ejpam-3998	305	51	v	v	ADP
ejpam-3998	305	52	(	(	PUNCT
ejpam-3998	305	53	w	w	NOUN
ejpam-3998	305	54	+	+	NOUN
ejpam-3998	305	55	hw	hw	NOUN
ejpam-3998	305	56	)	)	PUNCT
ejpam-3998	305	57	.	.	PUNCT
ejpam-3998	306	1	consider	consider	VERB
ejpam-3998	306	2	the	the	DET
ejpam-3998	306	3	following	follow	VERB
ejpam-3998	306	4	cases	case	NOUN
ejpam-3998	306	5	:	:	PUNCT
ejpam-3998	306	6	case	case	NOUN
ejpam-3998	306	7	1	1	NUM
ejpam-3998	306	8	.	.	X
ejpam-3998	306	9	v	v	NOUN
ejpam-3998	306	10	=	=	SYM
ejpam-3998	306	11	w	w	AUX
ejpam-3998	306	12	suppose	suppose	VERB
ejpam-3998	306	13	first	first	ADV
ejpam-3998	306	14	that	that	SCONJ
ejpam-3998	306	15	x	x	X
ejpam-3998	306	16	=	=	SYM
ejpam-3998	306	17	v	v	PROPN
ejpam-3998	306	18	and	and	CCONJ
ejpam-3998	306	19	y	y	PROPN
ejpam-3998	306	20	∈	∈	PROPN
ejpam-3998	306	21	v	v	PROPN
ejpam-3998	306	22	(	(	PUNCT
ejpam-3998	306	23	hv	hv	PROPN
ejpam-3998	306	24	)	)	PUNCT
ejpam-3998	306	25	\dv	\dv	PROPN
ejpam-3998	306	26	.	.	PUNCT
ejpam-3998	307	1	if	if	SCONJ
ejpam-3998	307	2	ng(x)∩a	ng(x)∩a	PROPN
ejpam-3998	307	3	6=	6=	PUNCT
ejpam-3998	307	4	∅	∅	NOUN
ejpam-3998	307	5	,	,	PUNCT
ejpam-3998	307	6	then	then	ADV
ejpam-3998	307	7	ng	ng	PROPN
ejpam-3998	307	8	◦	◦	NOUN
ejpam-3998	307	9	h(x)∩s	h(x)∩s	NOUN
ejpam-3998	307	10	=	=	SYM
ejpam-3998	307	11	(	(	PUNCT
ejpam-3998	307	12	ng(x)∩a)∪dv	ng(x)∩a)∪dv	X
ejpam-3998	307	13	6=	6=	X
ejpam-3998	307	14	nhv(y)∩dv	nhv(y)∩dv	NOUN
ejpam-3998	307	15	=	=	SYM
ejpam-3998	307	16	ng	ng	PROPN
ejpam-3998	307	17	◦	◦	NOUN
ejpam-3998	307	18	h(y)∩s	h(y)∩s	PROPN
ejpam-3998	307	19	.	.	PUNCT
ejpam-3998	308	1	supposeng(x)∩a	supposeng(x)∩a	PROPN
ejpam-3998	308	2	=	=	PUNCT
ejpam-3998	308	3	∅.	∅.	VERB
ejpam-3998	308	4	then	then	ADV
ejpam-3998	308	5	by	by	ADP
ejpam-3998	308	6	(	(	PUNCT
ejpam-3998	308	7	iii	iii	NOUN
ejpam-3998	308	8	)	)	PUNCT
ejpam-3998	308	9	,	,	PUNCT
ejpam-3998	308	10	dv	dv	PROPN
ejpam-3998	308	11	is	be	AUX
ejpam-3998	308	12	a	a	DET
ejpam-3998	308	13	strictly	strictly	ADV
ejpam-3998	308	14	locating	locate	VERB
ejpam-3998	308	15	set	set	NOUN
ejpam-3998	308	16	of	of	ADP
ejpam-3998	308	17	hv	hv	PROPN
ejpam-3998	308	18	.	.	PUNCT
ejpam-3998	309	1	hence	hence	PROPN
ejpam-3998	309	2	,	,	PUNCT
ejpam-3998	309	3	ng	ng	PROPN
ejpam-3998	309	4	◦	◦	PROPN
ejpam-3998	309	5	h(y)∩s	h(y)∩s	NOUN
ejpam-3998	309	6	=	=	PROPN
ejpam-3998	309	7	nhv(y)∩dv	nhv(y)∩dv	PROPN
ejpam-3998	309	8	6=	6=	NUM
ejpam-3998	309	9	dv	dv	PROPN
ejpam-3998	309	10	=	=	SYM
ejpam-3998	309	11	ng	ng	PROPN
ejpam-3998	309	12	◦	◦	NOUN
ejpam-3998	309	13	h(x)∩s	h(x)∩s	NOUN
ejpam-3998	309	14	.	.	PUNCT
ejpam-3998	310	1	next	next	ADV
ejpam-3998	310	2	,	,	PUNCT
ejpam-3998	310	3	suppose	suppose	VERB
ejpam-3998	311	1	that	that	SCONJ
ejpam-3998	311	2	x	x	NOUN
ejpam-3998	311	3	,	,	PUNCT
ejpam-3998	311	4	y	y	PROPN
ejpam-3998	311	5	∈	∈	PROPN
ejpam-3998	311	6	v	v	PROPN
ejpam-3998	311	7	(	(	PUNCT
ejpam-3998	311	8	hv	hv	PROPN
ejpam-3998	311	9	)	)	PUNCT
ejpam-3998	311	10	\	\	PROPN
ejpam-3998	311	11	dv	dv	PROPN
ejpam-3998	311	12	.	.	PROPN
ejpam-3998	312	1	since	since	SCONJ
ejpam-3998	312	2	dv	dv	PROPN
ejpam-3998	312	3	is	be	AUX
ejpam-3998	312	4	a	a	DET
ejpam-3998	312	5	locating	locating	NOUN
ejpam-3998	312	6	set	set	VERB
ejpam-3998	312	7	by	by	ADP
ejpam-3998	312	8	assumption	assumption	NOUN
ejpam-3998	312	9	,	,	PUNCT
ejpam-3998	312	10	it	it	PRON
ejpam-3998	312	11	follows	follow	VERB
ejpam-3998	312	12	that	that	SCONJ
ejpam-3998	312	13	nhv(x	nhv(x	PROPN
ejpam-3998	312	14	)	)	PUNCT
ejpam-3998	312	15	∩	∩	PROPN
ejpam-3998	312	16	dv	dv	PROPN
ejpam-3998	312	17	6=	6=	ADP
ejpam-3998	312	18	nhv(x	nhv(x	PROPN
ejpam-3998	312	19	)	)	PUNCT
ejpam-3998	312	20	∩	∩	PROPN
ejpam-3998	312	21	dv	dv	PROPN
ejpam-3998	312	22	.	.	PROPN
ejpam-3998	313	1	hence	hence	ADV
ejpam-3998	313	2	,	,	PUNCT
ejpam-3998	313	3	whether	whether	SCONJ
ejpam-3998	313	4	or	or	CCONJ
ejpam-3998	313	5	not	not	PART
ejpam-3998	313	6	v	v	NOUN
ejpam-3998	313	7	is	be	AUX
ejpam-3998	313	8	in	in	ADP
ejpam-3998	313	9	a	a	PRON
ejpam-3998	313	10	,	,	PUNCT
ejpam-3998	313	11	we	we	PRON
ejpam-3998	313	12	have	have	VERB
ejpam-3998	313	13	ng	ng	PROPN
ejpam-3998	313	14	◦	◦	NOUN
ejpam-3998	313	15	h(x	h(x	PROPN
ejpam-3998	313	16	)	)	PUNCT
ejpam-3998	313	17	∩	∩	PROPN
ejpam-3998	313	18	s	s	PART
ejpam-3998	313	19	6=	6=	PROPN
ejpam-3998	313	20	ng	ng	PROPN
ejpam-3998	313	21	◦	◦	NOUN
ejpam-3998	313	22	h(y	h(y	ADV
ejpam-3998	313	23	)	)	PUNCT
ejpam-3998	313	24	∩	∩	PROPN
ejpam-3998	313	25	s.	s.	PROPN
ejpam-3998	313	26	case	case	NOUN
ejpam-3998	313	27	2	2	NUM
ejpam-3998	313	28	.	.	NOUN
ejpam-3998	313	29	v	v	NOUN
ejpam-3998	313	30	6=	6=	PROPN
ejpam-3998	313	31	w	w	AUX
ejpam-3998	313	32	suppose	suppose	VERB
ejpam-3998	313	33	x	x	X
ejpam-3998	313	34	=	=	SYM
ejpam-3998	313	35	v	v	NOUN
ejpam-3998	313	36	or	or	CCONJ
ejpam-3998	313	37	y	y	PROPN
ejpam-3998	313	38	=	=	PUNCT
ejpam-3998	313	39	w	w	PROPN
ejpam-3998	313	40	)	)	PUNCT
ejpam-3998	313	41	.	.	PUNCT
ejpam-3998	314	1	since	since	SCONJ
ejpam-3998	314	2	dv	dv	PROPN
ejpam-3998	314	3	⊆	⊆	NUM
ejpam-3998	314	4	ng	ng	PROPN
ejpam-3998	314	5	◦	◦	PROPN
ejpam-3998	314	6	h(x	h(x	PROPN
ejpam-3998	314	7	)	)	PUNCT
ejpam-3998	314	8	∩	∩	PROPN
ejpam-3998	314	9	s	s	PART
ejpam-3998	314	10	and	and	CCONJ
ejpam-3998	314	11	dw	dw	PROPN
ejpam-3998	314	12	⊆	⊆	NUM
ejpam-3998	314	13	ng	ng	PROPN
ejpam-3998	314	14	◦	◦	NOUN
ejpam-3998	314	15	h(y	h(y	ADV
ejpam-3998	314	16	)	)	PUNCT
ejpam-3998	314	17	∩	∩	PROPN
ejpam-3998	314	18	s	s	SYM
ejpam-3998	314	19	,	,	PUNCT
ejpam-3998	314	20	ng	ng	PROPN
ejpam-3998	314	21	◦	◦	NOUN
ejpam-3998	314	22	h(x	h(x	PROPN
ejpam-3998	314	23	)	)	PUNCT
ejpam-3998	314	24	∩	∩	PROPN
ejpam-3998	314	25	s	s	PART
ejpam-3998	314	26	6=	6=	PROPN
ejpam-3998	314	27	ng	ng	PROPN
ejpam-3998	314	28	◦	◦	NOUN
ejpam-3998	314	29	h(y	h(y	ADV
ejpam-3998	314	30	)	)	PUNCT
ejpam-3998	314	31	∩	∩	NOUN
ejpam-3998	314	32	s.	s.	PROPN
ejpam-3998	314	33	suppose	suppose	VERB
ejpam-3998	315	1	x	x	X
ejpam-3998	315	2	∈	∈	PROPN
ejpam-3998	315	3	v	v	ADP
ejpam-3998	315	4	(	(	PUNCT
ejpam-3998	315	5	hv	hv	PROPN
ejpam-3998	315	6	)	)	PUNCT
ejpam-3998	315	7	\	\	PROPN
ejpam-3998	315	8	dv	dv	PROPN
ejpam-3998	315	9	and	and	CCONJ
ejpam-3998	315	10	y	y	PROPN
ejpam-3998	315	11	∈	∈	PROPN
ejpam-3998	315	12	v	v	ADP
ejpam-3998	315	13	(	(	PUNCT
ejpam-3998	315	14	hw	hw	NOUN
ejpam-3998	315	15	)	)	PUNCT
ejpam-3998	315	16	\	\	PROPN
ejpam-3998	315	17	dw	dw	PROPN
ejpam-3998	315	18	.	.	PROPN
ejpam-3998	316	1	since	since	SCONJ
ejpam-3998	316	2	e.	e.	PROPN
ejpam-3998	316	3	ahmad	ahmad	PROPN
ejpam-3998	316	4	,	,	PUNCT
ejpam-3998	316	5	g.	g.	PROPN
ejpam-3998	316	6	malacas	malacas	PROPN
ejpam-3998	316	7	,	,	PUNCT
ejpam-3998	316	8	s.	s.	PROPN
ejpam-3998	316	9	canoy	canoy	PROPN
ejpam-3998	316	10	,	,	PUNCT
ejpam-3998	316	11	jr	jr	PROPN
ejpam-3998	316	12	.	.	PROPN
ejpam-3998	316	13	/	/	SYM
ejpam-3998	316	14	eur	eur	PROPN
ejpam-3998	316	15	.	.	PUNCT
ejpam-3998	317	1	j.	j.	PROPN
ejpam-3998	317	2	pure	pure	PROPN
ejpam-3998	317	3	appl	appl	PROPN
ejpam-3998	317	4	.	.	PROPN
ejpam-3998	317	5	math	math	PROPN
ejpam-3998	317	6	,	,	PUNCT
ejpam-3998	317	7	14	14	NUM
ejpam-3998	317	8	(	(	PUNCT
ejpam-3998	317	9	3	3	NUM
ejpam-3998	317	10	)	)	PUNCT
ejpam-3998	317	11	(	(	PUNCT
ejpam-3998	317	12	2021	2021	NUM
ejpam-3998	317	13	)	)	PUNCT
ejpam-3998	317	14	,	,	PUNCT
ejpam-3998	317	15	638	638	NUM
ejpam-3998	317	16	-	-	SYM
ejpam-3998	317	17	649	649	NUM
ejpam-3998	317	18	647	647	NUM
ejpam-3998	317	19	dv	dv	PROPN
ejpam-3998	317	20	and	and	CCONJ
ejpam-3998	317	21	dw	dw	PROPN
ejpam-3998	317	22	are	be	AUX
ejpam-3998	317	23	dominating	dominate	VERB
ejpam-3998	317	24	sets	set	NOUN
ejpam-3998	317	25	of	of	ADP
ejpam-3998	317	26	hv	hv	PROPN
ejpam-3998	317	27	and	and	CCONJ
ejpam-3998	317	28	hw	hw	PROPN
ejpam-3998	317	29	,	,	PUNCT
ejpam-3998	317	30	respectively	respectively	ADV
ejpam-3998	317	31	,	,	PUNCT
ejpam-3998	317	32	nhv(x	nhv(x	PROPN
ejpam-3998	317	33	)	)	PUNCT
ejpam-3998	317	34	∩	∩	PROPN
ejpam-3998	317	35	dv	dv	PROPN
ejpam-3998	317	36	6=	6=	PROPN
ejpam-3998	317	37	∅	∅	NOUN
ejpam-3998	317	38	and	and	CCONJ
ejpam-3998	317	39	nhw(y	nhw(y	NOUN
ejpam-3998	317	40	)	)	PUNCT
ejpam-3998	317	41	∩dw	∩dw	PROPN
ejpam-3998	317	42	6=	6=	PROPN
ejpam-3998	317	43	∅.	∅.	ADP
ejpam-3998	317	44	hence	hence	ADV
ejpam-3998	317	45	,	,	PUNCT
ejpam-3998	317	46	ng	ng	PROPN
ejpam-3998	317	47	◦	◦	NOUN
ejpam-3998	317	48	h(x	h(x	PROPN
ejpam-3998	317	49	)	)	PUNCT
ejpam-3998	317	50	∩	∩	PROPN
ejpam-3998	317	51	s	s	PART
ejpam-3998	317	52	6=	6=	PROPN
ejpam-3998	317	53	ng	ng	PROPN
ejpam-3998	317	54	◦	◦	NOUN
ejpam-3998	317	55	h(y	h(y	ADV
ejpam-3998	317	56	)	)	PUNCT
ejpam-3998	317	57	∩	∩	PROPN
ejpam-3998	317	58	s.	s.	PROPN
ejpam-3998	317	59	therefore	therefore	ADV
ejpam-3998	317	60	,	,	PUNCT
ejpam-3998	317	61	s	s	VERB
ejpam-3998	317	62	is	be	AUX
ejpam-3998	317	63	a	a	DET
ejpam-3998	317	64	locating	locating	NOUN
ejpam-3998	317	65	set	set	NOUN
ejpam-3998	317	66	of	of	ADP
ejpam-3998	317	67	g	g	PROPN
ejpam-3998	317	68	◦	◦	NOUN
ejpam-3998	317	69	h.	h.	NOUN
ejpam-3998	317	70	accordingly	accordingly	ADV
ejpam-3998	317	71	,	,	PUNCT
ejpam-3998	317	72	s	s	VERB
ejpam-3998	317	73	is	be	AUX
ejpam-3998	317	74	a	a	DET
ejpam-3998	317	75	locating	locate	VERB
ejpam-3998	317	76	-	-	PUNCT
ejpam-3998	317	77	dominating	dominate	VERB
ejpam-3998	317	78	set	set	NOUN
ejpam-3998	317	79	of	of	ADP
ejpam-3998	317	80	g	g	PROPN
ejpam-3998	317	81	◦	◦	NOUN
ejpam-3998	317	82	h.	h.	PROPN
ejpam-3998	317	83	next	next	ADV
ejpam-3998	317	84	,	,	PUNCT
ejpam-3998	317	85	let	let	VERB
ejpam-3998	317	86	z	z	NOUN
ejpam-3998	317	87	∈	∈	PROPN
ejpam-3998	317	88	s	s	PART
ejpam-3998	317	89	and	and	CCONJ
ejpam-3998	317	90	let	let	VERB
ejpam-3998	317	91	u	u	PRON
ejpam-3998	317	92	∈	∈	PROPN
ejpam-3998	317	93	v	v	ADP
ejpam-3998	317	94	(	(	PUNCT
ejpam-3998	317	95	g	g	NOUN
ejpam-3998	317	96	)	)	PUNCT
ejpam-3998	317	97	such	such	ADJ
ejpam-3998	317	98	that	that	SCONJ
ejpam-3998	317	99	z	z	PROPN
ejpam-3998	317	100	∈	∈	PROPN
ejpam-3998	317	101	v	v	NOUN
ejpam-3998	317	102	(	(	PUNCT
ejpam-3998	317	103	u+hu	u+hu	PROPN
ejpam-3998	317	104	)	)	PUNCT
ejpam-3998	317	105	.	.	PUNCT
ejpam-3998	318	1	let	let	VERB
ejpam-3998	318	2	sz	sz	NOUN
ejpam-3998	318	3	=	=	VERB
ejpam-3998	318	4	s	s	PART
ejpam-3998	318	5	\	\	X
ejpam-3998	318	6	{	{	PUNCT
ejpam-3998	318	7	z	z	AUX
ejpam-3998	318	8	}	}	PUNCT
ejpam-3998	318	9	suppose	suppose	VERB
ejpam-3998	318	10	z	z	NOUN
ejpam-3998	318	11	=	=	SYM
ejpam-3998	318	12	u	u	NOUN
ejpam-3998	318	13	∈	∈	PROPN
ejpam-3998	318	14	a.	a.	NOUN
ejpam-3998	318	15	since	since	SCONJ
ejpam-3998	318	16	du	du	PROPN
ejpam-3998	318	17	is	be	AUX
ejpam-3998	318	18	a	a	DET
ejpam-3998	318	19	dominating	dominating	NOUN
ejpam-3998	318	20	set	set	NOUN
ejpam-3998	318	21	of	of	ADP
ejpam-3998	318	22	hu	hu	PROPN
ejpam-3998	318	23	according	accord	VERB
ejpam-3998	318	24	to	to	ADP
ejpam-3998	318	25	(	(	PUNCT
ejpam-3998	318	26	iv	iv	NUM
ejpam-3998	318	27	)	)	PUNCT
ejpam-3998	318	28	,	,	PUNCT
ejpam-3998	318	29	it	it	PRON
ejpam-3998	318	30	follows	follow	VERB
ejpam-3998	318	31	that	that	SCONJ
ejpam-3998	318	32	sz	sz	PROPN
ejpam-3998	318	33	is	be	AUX
ejpam-3998	318	34	a	a	DET
ejpam-3998	318	35	dominating	dominating	NOUN
ejpam-3998	318	36	set	set	NOUN
ejpam-3998	318	37	of	of	ADP
ejpam-3998	318	38	g	g	PROPN
ejpam-3998	318	39	◦	◦	NOUN
ejpam-3998	318	40	h.	h.	NOUN
ejpam-3998	318	41	by	by	ADP
ejpam-3998	318	42	assumption	assumption	NOUN
ejpam-3998	318	43	,	,	PUNCT
ejpam-3998	318	44	du	du	PROPN
ejpam-3998	318	45	is	be	AUX
ejpam-3998	318	46	a	a	DET
ejpam-3998	318	47	locating	locating	NOUN
ejpam-3998	318	48	set	set	NOUN
ejpam-3998	318	49	of	of	ADP
ejpam-3998	318	50	hu	hu	PROPN
ejpam-3998	318	51	and	and	CCONJ
ejpam-3998	318	52	strictly	strictly	ADV
ejpam-3998	318	53	locating	locate	VERB
ejpam-3998	318	54	if	if	SCONJ
ejpam-3998	318	55	ng(u)∩a	ng(u)∩a	NOUN
ejpam-3998	318	56	=	=	VERB
ejpam-3998	318	57	∅.	∅.	AUX
ejpam-3998	318	58	using	use	VERB
ejpam-3998	318	59	this	this	PRON
ejpam-3998	318	60	and	and	CCONJ
ejpam-3998	318	61	the	the	DET
ejpam-3998	318	62	assumption	assumption	NOUN
ejpam-3998	318	63	,	,	PUNCT
ejpam-3998	318	64	it	it	PRON
ejpam-3998	318	65	is	be	AUX
ejpam-3998	318	66	routine	routine	ADJ
ejpam-3998	318	67	to	to	PART
ejpam-3998	318	68	show	show	VERB
ejpam-3998	318	69	that	that	SCONJ
ejpam-3998	318	70	sz	sz	PROPN
ejpam-3998	318	71	is	be	AUX
ejpam-3998	318	72	a	a	DET
ejpam-3998	318	73	locating	locating	NOUN
ejpam-3998	318	74	set	set	NOUN
ejpam-3998	318	75	of	of	ADP
ejpam-3998	318	76	g	g	PROPN
ejpam-3998	318	77	◦	◦	NOUN
ejpam-3998	318	78	h.	h.	PROPN
ejpam-3998	318	79	lastly	lastly	ADV
ejpam-3998	318	80	,	,	PUNCT
ejpam-3998	318	81	suppose	suppose	VERB
ejpam-3998	318	82	that	that	SCONJ
ejpam-3998	318	83	z	z	NOUN
ejpam-3998	318	84	6=	6=	PUNCT
ejpam-3998	318	85	u.	u.	PROPN
ejpam-3998	318	86	then	then	ADV
ejpam-3998	318	87	z	z	PROPN
ejpam-3998	318	88	∈	∈	PROPN
ejpam-3998	318	89	du	du	PROPN
ejpam-3998	318	90	.	.	PROPN
ejpam-3998	318	91	note	note	VERB
ejpam-3998	318	92	that	that	SCONJ
ejpam-3998	318	93	du	du	PROPN
ejpam-3998	318	94	\{z	\{z	PROPN
ejpam-3998	318	95	}	}	PUNCT
ejpam-3998	318	96	is	be	AUX
ejpam-3998	318	97	a	a	DET
ejpam-3998	318	98	locating	locate	VERB
ejpam-3998	318	99	-	-	PUNCT
ejpam-3998	318	100	dominating	dominate	VERB
ejpam-3998	318	101	set	set	NOUN
ejpam-3998	318	102	of	of	ADP
ejpam-3998	318	103	hu	hu	PROPN
ejpam-3998	318	104	if	if	SCONJ
ejpam-3998	318	105	u	u	PROPN
ejpam-3998	318	106	∈	∈	PROPN
ejpam-3998	318	107	(	(	PUNCT
ejpam-3998	318	108	v	v	NOUN
ejpam-3998	318	109	(	(	PUNCT
ejpam-3998	318	110	g	g	NOUN
ejpam-3998	318	111	)	)	PUNCT
ejpam-3998	318	112	\	\	PROPN
ejpam-3998	319	1	a	a	PRON
ejpam-3998	319	2	)	)	PUNCT
ejpam-3998	319	3	by	by	ADP
ejpam-3998	319	4	(	(	PUNCT
ejpam-3998	319	5	ii	ii	NOUN
ejpam-3998	319	6	)	)	PUNCT
ejpam-3998	319	7	;	;	PUNCT
ejpam-3998	319	8	a	a	DET
ejpam-3998	319	9	strictly	strictly	ADV
ejpam-3998	319	10	locating	locate	VERB
ejpam-3998	319	11	set	set	VERB
ejpam-3998	319	12	if	if	SCONJ
ejpam-3998	319	13	u	u	PROPN
ejpam-3998	319	14	∈	∈	PROPN
ejpam-3998	319	15	(	(	PUNCT
ejpam-3998	319	16	v	v	NOUN
ejpam-3998	319	17	(	(	PUNCT
ejpam-3998	319	18	g	g	NOUN
ejpam-3998	319	19	)	)	PUNCT
ejpam-3998	319	20	\	\	PROPN
ejpam-3998	319	21	a	a	DET
ejpam-3998	319	22	)	)	PUNCT
ejpam-3998	319	23	\	\	NOUN
ejpam-3998	319	24	ng(a	ng(a	NOUN
ejpam-3998	319	25	)	)	PUNCT
ejpam-3998	319	26	by	by	ADP
ejpam-3998	319	27	(	(	PUNCT
ejpam-3998	319	28	iii	iii	NOUN
ejpam-3998	319	29	)	)	PUNCT
ejpam-3998	319	30	;	;	PUNCT
ejpam-3998	319	31	and	and	CCONJ
ejpam-3998	319	32	a	a	DET
ejpam-3998	319	33	locating	locating	NOUN
ejpam-3998	319	34	set	set	NOUN
ejpam-3998	319	35	if	if	SCONJ
ejpam-3998	319	36	v	v	NUM
ejpam-3998	319	37	∈	∈	PRON
ejpam-3998	319	38	a	a	DET
ejpam-3998	319	39	by	by	X
ejpam-3998	319	40	(	(	PUNCT
ejpam-3998	319	41	iv	iv	NOUN
ejpam-3998	319	42	)	)	PUNCT
ejpam-3998	319	43	.	.	PUNCT
ejpam-3998	320	1	using	use	VERB
ejpam-3998	320	2	this	this	PRON
ejpam-3998	320	3	and	and	CCONJ
ejpam-3998	320	4	the	the	DET
ejpam-3998	320	5	assumption	assumption	NOUN
ejpam-3998	320	6	,	,	PUNCT
ejpam-3998	320	7	it	it	PRON
ejpam-3998	320	8	can	can	AUX
ejpam-3998	320	9	be	be	AUX
ejpam-3998	320	10	shown	show	VERB
ejpam-3998	320	11	that	that	SCONJ
ejpam-3998	320	12	sz	sz	PROPN
ejpam-3998	320	13	is	be	AUX
ejpam-3998	320	14	a	a	DET
ejpam-3998	320	15	locating	locating	NOUN
ejpam-3998	320	16	set	set	NOUN
ejpam-3998	320	17	of	of	ADP
ejpam-3998	320	18	g	g	PROPN
ejpam-3998	320	19	◦	◦	NOUN
ejpam-3998	320	20	h.	h.	NOUN
ejpam-3998	320	21	accordingly	accordingly	ADV
ejpam-3998	320	22	,	,	PUNCT
ejpam-3998	320	23	s	s	VERB
ejpam-3998	320	24	is	be	AUX
ejpam-3998	320	25	a	a	DET
ejpam-3998	320	26	stable	stable	ADJ
ejpam-3998	320	27	locating	locating	NOUN
ejpam-3998	320	28	-	-	PUNCT
ejpam-3998	320	29	dominating	dominate	VERB
ejpam-3998	320	30	set	set	NOUN
ejpam-3998	320	31	of	of	ADP
ejpam-3998	320	32	g	g	PROPN
ejpam-3998	320	33	◦	◦	PROPN
ejpam-3998	320	34	h.	h.	NOUN
ejpam-3998	320	35	let	let	VERB
ejpam-3998	320	36	h	h	PRON
ejpam-3998	320	37	be	be	AUX
ejpam-3998	320	38	a	a	DET
ejpam-3998	320	39	graph	graph	NOUN
ejpam-3998	320	40	without	without	ADP
ejpam-3998	320	41	isolated	isolated	ADJ
ejpam-3998	320	42	vertices	vertex	NOUN
ejpam-3998	320	43	.	.	PUNCT
ejpam-3998	321	1	we	we	PRON
ejpam-3998	321	2	shall	shall	AUX
ejpam-3998	321	3	be	be	AUX
ejpam-3998	321	4	using	use	VERB
ejpam-3998	321	5	the	the	DET
ejpam-3998	321	6	following	follow	VERB
ejpam-3998	321	7	notations	notation	NOUN
ejpam-3998	321	8	in	in	ADP
ejpam-3998	321	9	our	our	PRON
ejpam-3998	321	10	next	next	ADJ
ejpam-3998	321	11	results	result	NOUN
ejpam-3998	321	12	.	.	PUNCT
ejpam-3998	322	1	γslsl	γslsl	NOUN
ejpam-3998	322	2	(	(	PUNCT
ejpam-3998	322	3	h	h	NOUN
ejpam-3998	322	4	)	)	PUNCT
ejpam-3998	322	5	=	=	SYM
ejpam-3998	322	6	min{|d|	min{|d|	NOUN
ejpam-3998	322	7	:	:	PUNCT
ejpam-3998	323	1	d	d	X
ejpam-3998	323	2	is	be	AUX
ejpam-3998	323	3	a	a	DET
ejpam-3998	323	4	strictly	strictly	ADV
ejpam-3998	323	5	locating	locate	VERB
ejpam-3998	323	6	and	and	CCONJ
ejpam-3998	323	7	stable	stable	ADJ
ejpam-3998	323	8	locating	locating	NOUN
ejpam-3998	323	9	-	-	PUNCT
ejpam-3998	323	10	dominating	dominate	VERB
ejpam-3998	323	11	set	set	NOUN
ejpam-3998	323	12	of	of	ADP
ejpam-3998	323	13	h	h	NOUN
ejpam-3998	323	14	}	}	PUNCT
ejpam-3998	323	15	,	,	PUNCT
ejpam-3998	323	16	γssll(h	γssll(h	NOUN
ejpam-3998	323	17	)	)	PUNCT
ejpam-3998	323	18	=	=	X
ejpam-3998	323	19	min{|d|	min{|d|	NOUN
ejpam-3998	323	20	:	:	PUNCT
ejpam-3998	324	1	d	d	X
ejpam-3998	324	2	is	be	AUX
ejpam-3998	324	3	a	a	DET
ejpam-3998	324	4	strictly	strictly	ADV
ejpam-3998	324	5	locating	locate	VERB
ejpam-3998	324	6	-	-	PUNCT
ejpam-3998	324	7	dominating	dominate	VERB
ejpam-3998	324	8	and	and	CCONJ
ejpam-3998	324	9	stable	stable	ADJ
ejpam-3998	324	10	locating	locating	NOUN
ejpam-3998	324	11	set	set	NOUN
ejpam-3998	324	12	of	of	ADP
ejpam-3998	324	13	h	h	NOUN
ejpam-3998	324	14	}	}	PUNCT
ejpam-3998	324	15	.	.	PUNCT
ejpam-3998	325	1	any	any	DET
ejpam-3998	325	2	strictly	strictly	ADV
ejpam-3998	325	3	locating	locate	VERB
ejpam-3998	325	4	and	and	CCONJ
ejpam-3998	325	5	stable	stable	ADJ
ejpam-3998	325	6	locating	locating	NOUN
ejpam-3998	325	7	-	-	PUNCT
ejpam-3998	325	8	dominating	dominating	NOUN
ejpam-3998	325	9	set	set	NOUN
ejpam-3998	325	10	(	(	PUNCT
ejpam-3998	325	11	strictly	strictly	ADV
ejpam-3998	325	12	locating	locate	VERB
ejpam-3998	325	13	-	-	PUNCT
ejpam-3998	325	14	dominating	dominate	VERB
ejpam-3998	325	15	and	and	CCONJ
ejpam-3998	325	16	stable	stable	ADJ
ejpam-3998	325	17	locating	locating	NOUN
ejpam-3998	325	18	set	set	NOUN
ejpam-3998	325	19	)	)	PUNCT
ejpam-3998	325	20	of	of	ADP
ejpam-3998	325	21	h	h	PROPN
ejpam-3998	325	22	with	with	ADP
ejpam-3998	325	23	cardinality	cardinality	NOUN
ejpam-3998	325	24	γslsl	γslsl	NOUN
ejpam-3998	325	25	(	(	PUNCT
ejpam-3998	325	26	h	h	NOUN
ejpam-3998	325	27	)	)	PUNCT
ejpam-3998	325	28	(	(	PUNCT
ejpam-3998	325	29	resp	resp	NOUN
ejpam-3998	325	30	.	.	PUNCT
ejpam-3998	326	1	γssll(h	γssll(h	NOUN
ejpam-3998	326	2	)	)	PUNCT
ejpam-3998	326	3	)	)	PUNCT
ejpam-3998	327	1	is	be	AUX
ejpam-3998	327	2	called	call	VERB
ejpam-3998	327	3	a	a	DET
ejpam-3998	327	4	γslsl	γslsl	NOUN
ejpam-3998	327	5	-set	-set	PUNCT
ejpam-3998	327	6	(	(	PUNCT
ejpam-3998	327	7	resp	resp	NOUN
ejpam-3998	327	8	.	.	PUNCT
ejpam-3998	328	1	γssll	γssll	PROPN
ejpam-3998	328	2	-	-	PUNCT
ejpam-3998	328	3	set	set	PROPN
ejpam-3998	328	4	)	)	PUNCT
ejpam-3998	328	5	of	of	ADP
ejpam-3998	328	6	h.	h.	PROPN
ejpam-3998	328	7	note	note	VERB
ejpam-3998	328	8	that	that	SCONJ
ejpam-3998	328	9	every	every	DET
ejpam-3998	328	10	graph	graph	NOUN
ejpam-3998	328	11	without	without	ADP
ejpam-3998	328	12	isolated	isolated	ADJ
ejpam-3998	328	13	vertices	vertex	NOUN
ejpam-3998	328	14	admits	admit	VERB
ejpam-3998	328	15	a	a	DET
ejpam-3998	328	16	strictly	strictly	ADV
ejpam-3998	328	17	locating	locate	VERB
ejpam-3998	328	18	stable	stable	ADJ
ejpam-3998	328	19	locating	locating	NOUN
ejpam-3998	328	20	-	-	PUNCT
ejpam-3998	328	21	dominating	dominating	NOUN
ejpam-3998	328	22	set	set	NOUN
ejpam-3998	328	23	and	and	CCONJ
ejpam-3998	328	24	a	a	DET
ejpam-3998	328	25	strictly	strictly	ADV
ejpam-3998	328	26	locating	locate	VERB
ejpam-3998	328	27	-	-	PUNCT
ejpam-3998	328	28	dominating	dominate	VERB
ejpam-3998	328	29	and	and	CCONJ
ejpam-3998	328	30	stable	stable	ADJ
ejpam-3998	328	31	locating	locating	NOUN
ejpam-3998	328	32	set	set	NOUN
ejpam-3998	328	33	.	.	PUNCT
ejpam-3998	329	1	indeed	indeed	ADV
ejpam-3998	329	2	,	,	PUNCT
ejpam-3998	329	3	if	if	SCONJ
ejpam-3998	329	4	h	h	NOUN
ejpam-3998	329	5	is	be	AUX
ejpam-3998	329	6	a	a	DET
ejpam-3998	329	7	graph	graph	NOUN
ejpam-3998	329	8	without	without	ADP
ejpam-3998	329	9	isolated	isolated	ADJ
ejpam-3998	329	10	vertices	vertex	NOUN
ejpam-3998	329	11	,	,	PUNCT
ejpam-3998	329	12	then	then	ADV
ejpam-3998	329	13	v	v	X
ejpam-3998	329	14	(	(	PUNCT
ejpam-3998	329	15	h	h	NOUN
ejpam-3998	329	16	)	)	PUNCT
ejpam-3998	329	17	is	be	AUX
ejpam-3998	329	18	both	both	PRON
ejpam-3998	329	19	a	a	DET
ejpam-3998	329	20	strictly	strictly	ADV
ejpam-3998	329	21	locating	locate	VERB
ejpam-3998	329	22	stable	stable	ADJ
ejpam-3998	329	23	locating	locating	NOUN
ejpam-3998	329	24	-	-	PUNCT
ejpam-3998	329	25	dominating	dominating	NOUN
ejpam-3998	329	26	set	set	NOUN
ejpam-3998	329	27	and	and	CCONJ
ejpam-3998	329	28	a	a	DET
ejpam-3998	329	29	dominating	dominating	NOUN
ejpam-3998	329	30	and	and	CCONJ
ejpam-3998	329	31	stable	stable	ADJ
ejpam-3998	329	32	locating	locating	NOUN
ejpam-3998	329	33	set	set	NOUN
ejpam-3998	329	34	of	of	ADP
ejpam-3998	329	35	h.	h.	PROPN
ejpam-3998	329	36	also	also	ADV
ejpam-3998	329	37	,	,	PUNCT
ejpam-3998	329	38	one	one	PRON
ejpam-3998	329	39	can	can	AUX
ejpam-3998	329	40	easily	easily	ADV
ejpam-3998	329	41	verify	verify	VERB
ejpam-3998	329	42	that	that	SCONJ
ejpam-3998	329	43	if	if	SCONJ
ejpam-3998	329	44	h	h	NOUN
ejpam-3998	329	45	=	=	SYM
ejpam-3998	329	46	k1	k1	PROPN
ejpam-3998	329	47	+	+	CCONJ
ejpam-3998	329	48	p4	p4	ADJ
ejpam-3998	329	49	,	,	PUNCT
ejpam-3998	329	50	where	where	SCONJ
ejpam-3998	329	51	v	v	NOUN
ejpam-3998	329	52	(	(	PUNCT
ejpam-3998	329	53	k1	k1	NOUN
ejpam-3998	329	54	)	)	PUNCT
ejpam-3998	329	55	=	=	PRON
ejpam-3998	330	1	{	{	PUNCT
ejpam-3998	330	2	a	a	NOUN
ejpam-3998	330	3	}	}	PUNCT
ejpam-3998	330	4	and	and	CCONJ
ejpam-3998	330	5	p4	p4	ADJ
ejpam-3998	330	6	=	=	PUNCT
ejpam-3998	331	1	[	[	X
ejpam-3998	331	2	b	b	X
ejpam-3998	331	3	,	,	PUNCT
ejpam-3998	331	4	c	c	NOUN
ejpam-3998	331	5	,	,	PUNCT
ejpam-3998	331	6	d	d	NOUN
ejpam-3998	331	7	,	,	PUNCT
ejpam-3998	331	8	e	e	NOUN
ejpam-3998	331	9	]	]	X
ejpam-3998	331	10	,	,	PUNCT
ejpam-3998	331	11	then	then	ADV
ejpam-3998	331	12	s	s	VERB
ejpam-3998	331	13	=	=	PUNCT
ejpam-3998	331	14	{	{	PUNCT
ejpam-3998	331	15	a	a	PRON
ejpam-3998	331	16	,	,	PUNCT
ejpam-3998	331	17	b	b	NOUN
ejpam-3998	331	18	,	,	PUNCT
ejpam-3998	331	19	d	d	NOUN
ejpam-3998	331	20	,	,	PUNCT
ejpam-3998	331	21	e	e	NOUN
ejpam-3998	331	22	}	}	PUNCT
ejpam-3998	331	23	is	be	AUX
ejpam-3998	331	24	a	a	DET
ejpam-3998	331	25	strictly	strictly	ADV
ejpam-3998	331	26	locating	locate	VERB
ejpam-3998	331	27	stable	stable	ADJ
ejpam-3998	331	28	locating	locating	NOUN
ejpam-3998	331	29	-	-	PUNCT
ejpam-3998	331	30	dominating	dominate	VERB
ejpam-3998	331	31	set	set	NOUN
ejpam-3998	331	32	of	of	ADP
ejpam-3998	331	33	h.	h.	PROPN
ejpam-3998	331	34	corollary	corollary	PROPN
ejpam-3998	331	35	3	3	X
ejpam-3998	331	36	.	.	PUNCT
ejpam-3998	332	1	let	let	VERB
ejpam-3998	332	2	g	g	PRON
ejpam-3998	332	3	be	be	AUX
ejpam-3998	332	4	a	a	DET
ejpam-3998	332	5	connected	connected	ADJ
ejpam-3998	332	6	non	non	ADJ
ejpam-3998	332	7	-	-	ADJ
ejpam-3998	332	8	trivial	trivial	ADJ
ejpam-3998	332	9	graph	graph	NOUN
ejpam-3998	332	10	of	of	ADP
ejpam-3998	332	11	order	order	NOUN
ejpam-3998	332	12	m	m	VERB
ejpam-3998	332	13	and	and	CCONJ
ejpam-3998	332	14	let	let	VERB
ejpam-3998	332	15	h	h	NOUN
ejpam-3998	332	16	be	be	AUX
ejpam-3998	332	17	any	any	DET
ejpam-3998	332	18	graph	graph	NOUN
ejpam-3998	332	19	without	without	ADP
ejpam-3998	332	20	isolated	isolated	ADJ
ejpam-3998	332	21	vertices	vertex	NOUN
ejpam-3998	332	22	.	.	PUNCT
ejpam-3998	333	1	(	(	PUNCT
ejpam-3998	333	2	i	i	NOUN
ejpam-3998	333	3	)	)	PUNCT
ejpam-3998	333	4	if	if	SCONJ
ejpam-3998	333	5	γ(h	γ(h	NOUN
ejpam-3998	333	6	)	)	PUNCT
ejpam-3998	333	7	=	=	SYM
ejpam-3998	333	8	1	1	NUM
ejpam-3998	333	9	,	,	PUNCT
ejpam-3998	333	10	then	then	ADV
ejpam-3998	333	11	γsl	γsl	VERB
ejpam-3998	333	12	(	(	PUNCT
ejpam-3998	333	13	g	g	NOUN
ejpam-3998	333	14	)	)	PUNCT
ejpam-3998	333	15	≤	≤	PROPN
ejpam-3998	333	16	γ(g	γ(g	PROPN
ejpam-3998	333	17	)	)	PUNCT
ejpam-3998	333	18	+	+	CCONJ
ejpam-3998	333	19	γ(g)γssll(h	γ(g)γssll(h	CCONJ
ejpam-3998	333	20	)	)	PUNCT
ejpam-3998	333	21	+	+	CCONJ
ejpam-3998	333	22	(	(	PUNCT
ejpam-3998	333	23	m−	m−	PROPN
ejpam-3998	333	24	γ(g))γssls(h	γ(g))γssls(h	PROPN
ejpam-3998	333	25	)	)	PUNCT
ejpam-3998	333	26	.	.	PUNCT
ejpam-3998	334	1	(	(	PUNCT
ejpam-3998	334	2	ii	ii	NOUN
ejpam-3998	334	3	)	)	PUNCT
ejpam-3998	334	4	if	if	SCONJ
ejpam-3998	334	5	γ(h	γ(h	NOUN
ejpam-3998	334	6	)	)	PUNCT
ejpam-3998	334	7	6=	6=	ADP
ejpam-3998	334	8	1	1	NUM
ejpam-3998	334	9	,	,	PUNCT
ejpam-3998	334	10	then	then	ADV
ejpam-3998	334	11	γsl	γsl	VERB
ejpam-3998	334	12	(	(	PUNCT
ejpam-3998	334	13	g	g	NOUN
ejpam-3998	334	14	)	)	PUNCT
ejpam-3998	334	15	≤	≤	NOUN
ejpam-3998	334	16	min{γ(g)+γ(g)γssll(h)+(m−γ(g))γssls(h),m.γssl(h	min{γ(g)+γ(g)γssll(h)+(m−γ(g))γssls(h),m.γssl(h	PROPN
ejpam-3998	334	17	)	)	PUNCT
ejpam-3998	334	18	}	}	PUNCT
ejpam-3998	334	19	.	.	PUNCT
ejpam-3998	335	1	proof	proof	NOUN
ejpam-3998	335	2	.	.	PUNCT
ejpam-3998	336	1	(	(	PUNCT
ejpam-3998	336	2	i	i	NOUN
ejpam-3998	336	3	)	)	PUNCT
ejpam-3998	336	4	suppose	suppose	VERB
ejpam-3998	336	5	γ(h	γ(h	NOUN
ejpam-3998	336	6	)	)	PUNCT
ejpam-3998	336	7	=	=	SYM
ejpam-3998	337	1	1	1	X
ejpam-3998	337	2	.	.	PUNCT
ejpam-3998	337	3	let	let	VERB
ejpam-3998	337	4	a	a	PRON
ejpam-3998	337	5	be	be	AUX
ejpam-3998	337	6	a	a	DET
ejpam-3998	337	7	γ	γ	NOUN
ejpam-3998	337	8	-	-	PUNCT
ejpam-3998	337	9	set	set	NOUN
ejpam-3998	337	10	of	of	ADP
ejpam-3998	337	11	g.	g.	PROPN
ejpam-3998	337	12	let	let	VERB
ejpam-3998	337	13	dv	dv	PROPN
ejpam-3998	337	14	be	be	AUX
ejpam-3998	337	15	a	a	DET
ejpam-3998	337	16	γssll	γssll	PROPN
ejpam-3998	337	17	-	-	PUNCT
ejpam-3998	337	18	set	set	NOUN
ejpam-3998	337	19	for	for	ADP
ejpam-3998	337	20	each	each	DET
ejpam-3998	337	21	v	v	ADP
ejpam-3998	337	22	∈	∈	PROPN
ejpam-3998	337	23	a	a	PRON
ejpam-3998	337	24	and	and	CCONJ
ejpam-3998	337	25	let	let	VERB
ejpam-3998	337	26	it	it	PRON
ejpam-3998	337	27	be	be	AUX
ejpam-3998	337	28	a	a	DET
ejpam-3998	337	29	γslsl	γslsl	NOUN
ejpam-3998	337	30	-set	-set	PUNCT
ejpam-3998	337	31	of	of	ADP
ejpam-3998	337	32	h	h	NOUN
ejpam-3998	337	33	for	for	ADP
ejpam-3998	337	34	each	each	PRON
ejpam-3998	337	35	v	v	NUM
ejpam-3998	337	36	∈	∈	PROPN
ejpam-3998	337	37	v	v	NOUN
ejpam-3998	337	38	(	(	PUNCT
ejpam-3998	337	39	g	g	NOUN
ejpam-3998	337	40	)	)	PUNCT
ejpam-3998	337	41	\	\	NOUN
ejpam-3998	337	42	a.	a.	NOUN
ejpam-3998	337	43	by	by	ADP
ejpam-3998	337	44	theorem	theorem	NOUN
ejpam-3998	337	45	5	5	NUM
ejpam-3998	337	46	,	,	PUNCT
ejpam-3998	337	47	s	s	PART
ejpam-3998	337	48	=	=	PUNCT
ejpam-3998	337	49	a∪	a∪	PROPN
ejpam-3998	338	1	[	[	X
ejpam-3998	338	2	∪v∈adv]∪	∪v∈adv]∪	PROPN
ejpam-3998	338	3	[	[	X
ejpam-3998	338	4	∪v∈v	∪v∈v	X
ejpam-3998	338	5	(	(	PUNCT
ejpam-3998	338	6	g)\adv	g)\adv	PROPN
ejpam-3998	338	7	]	]	PUNCT
ejpam-3998	338	8	is	be	AUX
ejpam-3998	338	9	a	a	DET
ejpam-3998	338	10	stable	stable	ADJ
ejpam-3998	338	11	locating	locating	NOUN
ejpam-3998	338	12	-	-	PUNCT
ejpam-3998	338	13	dominating	dominate	VERB
ejpam-3998	338	14	set	set	NOUN
ejpam-3998	338	15	of	of	ADP
ejpam-3998	338	16	g	g	PROPN
ejpam-3998	338	17	◦	◦	NOUN
ejpam-3998	338	18	h.	h.	NOUN
ejpam-3998	338	19	it	it	PRON
ejpam-3998	338	20	follows	follow	VERB
ejpam-3998	338	21	that	that	PRON
ejpam-3998	338	22	γsl	γsl	NOUN
ejpam-3998	338	23	(	(	PUNCT
ejpam-3998	338	24	g	g	PROPN
ejpam-3998	338	25	◦	◦	NOUN
ejpam-3998	338	26	h	h	NOUN
ejpam-3998	338	27	)	)	PUNCT
ejpam-3998	338	28	≤	≤	NUM
ejpam-3998	338	29	|s|	|s|	PROPN
ejpam-3998	338	30	=	=	SYM
ejpam-3998	338	31	γ(g	γ(g	PROPN
ejpam-3998	338	32	)	)	PUNCT
ejpam-3998	338	33	+	+	CCONJ
ejpam-3998	339	1	γ(g)γssll(h	γ(g)γssll(h	CCONJ
ejpam-3998	339	2	)	)	PUNCT
ejpam-3998	339	3	+	+	CCONJ
ejpam-3998	339	4	(	(	PUNCT
ejpam-3998	339	5	m−	m−	PROPN
ejpam-3998	339	6	γ(g))γssls(h	γ(g))γssls(h	PROPN
ejpam-3998	339	7	)	)	PUNCT
ejpam-3998	340	1	=	=	PUNCT
ejpam-3998	341	1	[	[	X
ejpam-3998	341	2	1	1	NUM
ejpam-3998	341	3	+	+	NUM
ejpam-3998	341	4	γssll(h)−	γssll(h)−	NOUN
ejpam-3998	341	5	γslsl	γslsl	NOUN
ejpam-3998	341	6	(	(	PUNCT
ejpam-3998	341	7	h)]γ(g	h)]γ(g	PROPN
ejpam-3998	341	8	)	)	PUNCT
ejpam-3998	341	9	+	+	VERB
ejpam-3998	341	10	m.γslsl	m.γslsl	ADV
ejpam-3998	341	11	(	(	PUNCT
ejpam-3998	341	12	h	h	NOUN
ejpam-3998	341	13	)	)	PUNCT
ejpam-3998	341	14	.	.	PUNCT
ejpam-3998	342	1	references	reference	NOUN
ejpam-3998	342	2	648	648	NUM
ejpam-3998	342	3	(	(	PUNCT
ejpam-3998	342	4	ii	ii	NOUN
ejpam-3998	342	5	)	)	PUNCT
ejpam-3998	342	6	suppose	suppose	VERB
ejpam-3998	342	7	γ(h	γ(h	NOUN
ejpam-3998	342	8	)	)	PUNCT
ejpam-3998	342	9	6=	6=	ADP
ejpam-3998	342	10	1	1	X
ejpam-3998	342	11	.	.	PUNCT
ejpam-3998	342	12	let	let	VERB
ejpam-3998	342	13	a	a	DET
ejpam-3998	342	14	=	=	PUNCT
ejpam-3998	342	15	∅	∅	NOUN
ejpam-3998	342	16	and	and	CCONJ
ejpam-3998	342	17	letdv	letdv	NOUN
ejpam-3998	342	18	be	be	AUX
ejpam-3998	342	19	a	a	DET
ejpam-3998	342	20	γssl	γssl	ADV
ejpam-3998	342	21	-	-	PUNCT
ejpam-3998	342	22	set	set	VERB
ejpam-3998	342	23	ofh	ofh	PROPN
ejpam-3998	342	24	.	.	PROPN
ejpam-3998	343	1	then	then	ADV
ejpam-3998	343	2	s′	s′	ADJ
ejpam-3998	343	3	=	=	PUNCT
ejpam-3998	344	1	[	[	X
ejpam-3998	344	2	∪v∈v	∪v∈v	X
ejpam-3998	344	3	(	(	PUNCT
ejpam-3998	344	4	g)dv	g)dv	PROPN
ejpam-3998	344	5	]	]	PUNCT
ejpam-3998	344	6	is	be	AUX
ejpam-3998	344	7	a	a	DET
ejpam-3998	344	8	stable	stable	ADJ
ejpam-3998	344	9	locating	locating	NOUN
ejpam-3998	344	10	-	-	PUNCT
ejpam-3998	344	11	dominating	dominate	VERB
ejpam-3998	344	12	set	set	NOUN
ejpam-3998	344	13	of	of	ADP
ejpam-3998	344	14	g	g	NOUN
ejpam-3998	344	15	by	by	ADP
ejpam-3998	344	16	theorem	theorem	NOUN
ejpam-3998	344	17	5	5	NUM
ejpam-3998	344	18	.	.	PUNCT
ejpam-3998	344	19	hence	hence	ADV
ejpam-3998	344	20	,	,	PUNCT
ejpam-3998	344	21	γsl	γsl	VERB
ejpam-3998	344	22	(	(	PUNCT
ejpam-3998	344	23	g	g	NOUN
ejpam-3998	344	24	◦	◦	NOUN
ejpam-3998	344	25	h	h	NOUN
ejpam-3998	344	26	)	)	PUNCT
ejpam-3998	344	27	≤	≤	NOUN
ejpam-3998	344	28	|s′|	|s′|	NOUN
ejpam-3998	344	29	=	=	SYM
ejpam-3998	344	30	m.γssl(h	m.γssl(h	PROPN
ejpam-3998	344	31	)	)	PUNCT
ejpam-3998	344	32	.	.	PUNCT
ejpam-3998	345	1	this	this	PRON
ejpam-3998	345	2	and	and	CCONJ
ejpam-3998	345	3	(	(	PUNCT
ejpam-3998	345	4	i	i	NOUN
ejpam-3998	345	5	)	)	PUNCT
ejpam-3998	345	6	imply	imply	VERB
ejpam-3998	345	7	that	that	PRON
ejpam-3998	345	8	γsl	γsl	VERB
ejpam-3998	345	9	(	(	PUNCT
ejpam-3998	345	10	g	g	PROPN
ejpam-3998	345	11	◦	◦	NOUN
ejpam-3998	345	12	h	h	NOUN
ejpam-3998	345	13	)	)	PUNCT
ejpam-3998	345	14	≤	≤	NOUN
ejpam-3998	345	15	min{[1	min{[1	NOUN
ejpam-3998	345	16	+	+	CCONJ
ejpam-3998	345	17	γssll(h)−	γssll(h)−	NOUN
ejpam-3998	345	18	γslsl	γslsl	NOUN
ejpam-3998	345	19	(	(	PUNCT
ejpam-3998	345	20	h)]γ(g	h)]γ(g	PROPN
ejpam-3998	345	21	)	)	PUNCT
ejpam-3998	346	1	+	+	VERB
ejpam-3998	346	2	m.γslsl	m.γslsl	X
ejpam-3998	346	3	(	(	PUNCT
ejpam-3998	346	4	h),m.γssl(h	h),m.γssl(h	ADJ
ejpam-3998	346	5	)	)	PUNCT
ejpam-3998	346	6	}	}	PUNCT
ejpam-3998	346	7	.	.	PUNCT
ejpam-3998	347	1	this	this	PRON
ejpam-3998	347	2	establishes	establish	VERB
ejpam-3998	347	3	the	the	DET
ejpam-3998	347	4	desired	desire	VERB
ejpam-3998	347	5	results	result	NOUN
ejpam-3998	347	6	.	.	PUNCT
ejpam-3998	348	1	consider	consider	VERB
ejpam-3998	348	2	g	g	PROPN
ejpam-3998	348	3	=	=	PROPN
ejpam-3998	348	4	p3	p3	PROPN
ejpam-3998	348	5	and	and	CCONJ
ejpam-3998	348	6	h	h	NOUN
ejpam-3998	348	7	=	=	NOUN
ejpam-3998	348	8	p4	p4	ADJ
ejpam-3998	348	9	.	.	PUNCT
ejpam-3998	349	1	one	one	PRON
ejpam-3998	349	2	can	can	AUX
ejpam-3998	349	3	easily	easily	ADV
ejpam-3998	349	4	verify	verify	VERB
ejpam-3998	349	5	that	that	SCONJ
ejpam-3998	349	6	m	m	VERB
ejpam-3998	349	7	=	=	SYM
ejpam-3998	349	8	3	3	NUM
ejpam-3998	349	9	,	,	PUNCT
ejpam-3998	349	10	γ(g	γ(g	PROPN
ejpam-3998	349	11	)	)	PUNCT
ejpam-3998	350	1	=	=	SYM
ejpam-3998	350	2	1	1	NUM
ejpam-3998	350	3	,	,	PUNCT
ejpam-3998	350	4	γslsl	γslsl	NOUN
ejpam-3998	350	5	(	(	PUNCT
ejpam-3998	350	6	h	h	NOUN
ejpam-3998	350	7	)	)	PUNCT
ejpam-3998	350	8	=	=	SYM
ejpam-3998	350	9	4	4	NUM
ejpam-3998	350	10	,	,	PUNCT
ejpam-3998	350	11	γssll(h	γssll(h	NOUN
ejpam-3998	350	12	)	)	PUNCT
ejpam-3998	350	13	=	=	SYM
ejpam-3998	350	14	3	3	NUM
ejpam-3998	350	15	,	,	PUNCT
ejpam-3998	350	16	and	and	CCONJ
ejpam-3998	350	17	γsl	γsl	VERB
ejpam-3998	350	18	(	(	PUNCT
ejpam-3998	350	19	g	g	PROPN
ejpam-3998	350	20	◦	◦	NOUN
ejpam-3998	350	21	h	h	NOUN
ejpam-3998	350	22	)	)	PUNCT
ejpam-3998	350	23	=	=	SYM
ejpam-3998	351	1	12	12	NUM
ejpam-3998	352	1	=	=	PUNCT
ejpam-3998	352	2	[	[	X
ejpam-3998	352	3	1	1	NUM
ejpam-3998	352	4	+	+	NUM
ejpam-3998	352	5	γssll(h	γssll(h	NOUN
ejpam-3998	352	6	)	)	PUNCT
ejpam-3998	352	7	−	−	PROPN
ejpam-3998	352	8	γslsl	γslsl	NOUN
ejpam-3998	352	9	(	(	PUNCT
ejpam-3998	352	10	h)]γ(g	h)]γ(g	PROPN
ejpam-3998	352	11	)	)	PUNCT
ejpam-3998	353	1	+	+	CCONJ
ejpam-3998	353	2	m.γslsl	m.γslsl	ADV
ejpam-3998	353	3	(	(	PUNCT
ejpam-3998	353	4	h	h	NOUN
ejpam-3998	353	5	)	)	PUNCT
ejpam-3998	353	6	.	.	PUNCT
ejpam-3998	354	1	thus	thus	ADV
ejpam-3998	354	2	,	,	PUNCT
ejpam-3998	354	3	the	the	DET
ejpam-3998	354	4	given	give	VERB
ejpam-3998	354	5	bound	bind	VERB
ejpam-3998	354	6	in	in	ADP
ejpam-3998	354	7	corollary	corollary	ADJ
ejpam-3998	354	8	3(i	3(i	NUM
ejpam-3998	354	9	)	)	PUNCT
ejpam-3998	354	10	is	be	AUX
ejpam-3998	354	11	tight	tight	ADJ
ejpam-3998	354	12	.	.	PUNCT
ejpam-3998	355	1	next	next	ADV
ejpam-3998	355	2	,	,	PUNCT
ejpam-3998	355	3	consider	consider	VERB
ejpam-3998	355	4	g	g	NOUN
ejpam-3998	355	5	=	=	SYM
ejpam-3998	355	6	p4	p4	ADJ
ejpam-3998	355	7	and	and	CCONJ
ejpam-3998	355	8	h	h	NOUN
ejpam-3998	355	9	=	=	PROPN
ejpam-3998	355	10	p3	p3	PROPN
ejpam-3998	355	11	.	.	PUNCT
ejpam-3998	356	1	then	then	ADV
ejpam-3998	356	2	m	m	VERB
ejpam-3998	356	3	=	=	ADJ
ejpam-3998	356	4	4	4	NUM
ejpam-3998	356	5	,	,	PUNCT
ejpam-3998	356	6	γ(g	γ(g	PROPN
ejpam-3998	356	7	)	)	PUNCT
ejpam-3998	356	8	=	=	SYM
ejpam-3998	356	9	2	2	NUM
ejpam-3998	356	10	and	and	CCONJ
ejpam-3998	356	11	γssl(h	γssl(h	NUM
ejpam-3998	356	12	)	)	PUNCT
ejpam-3998	356	13	}	}	PUNCT
ejpam-3998	356	14	=	=	SYM
ejpam-3998	356	15	γslsl	γslsl	NOUN
ejpam-3998	356	16	(	(	PUNCT
ejpam-3998	356	17	h	h	NOUN
ejpam-3998	356	18	)	)	PUNCT
ejpam-3998	356	19	=	=	SYM
ejpam-3998	356	20	γssll(h	γssll(h	NOUN
ejpam-3998	356	21	)	)	PUNCT
ejpam-3998	356	22	=	=	SYM
ejpam-3998	357	1	3	3	X
ejpam-3998	357	2	.	.	PUNCT
ejpam-3998	357	3	also	also	ADV
ejpam-3998	357	4	,	,	PUNCT
ejpam-3998	357	5	γsl	γsl	VERB
ejpam-3998	357	6	(	(	PUNCT
ejpam-3998	357	7	g	g	NOUN
ejpam-3998	357	8	◦	◦	NOUN
ejpam-3998	357	9	h	h	NOUN
ejpam-3998	357	10	)	)	PUNCT
ejpam-3998	357	11	=	=	SYM
ejpam-3998	357	12	12	12	NUM
ejpam-3998	357	13	=	=	SYM
ejpam-3998	357	14	m.γssl(h	m.γssl(h	PROPN
ejpam-3998	357	15	)	)	PUNCT
ejpam-3998	357	16	}	}	PUNCT
ejpam-3998	357	17	<	<	X
ejpam-3998	357	18	14	14	NUM
ejpam-3998	357	19	=	=	PUNCT
ejpam-3998	358	1	[	[	PUNCT
ejpam-3998	358	2	1	1	NUM
ejpam-3998	358	3	+	+	NUM
ejpam-3998	358	4	γssll(h)−	γssll(h)−	NOUN
ejpam-3998	358	5	γslsl	γslsl	NOUN
ejpam-3998	358	6	(	(	PUNCT
ejpam-3998	358	7	h)]γ(g	h)]γ(g	PROPN
ejpam-3998	358	8	)	)	PUNCT
ejpam-3998	359	1	+	+	VERB
ejpam-3998	359	2	m.γslsl	m.γslsl	ADV
ejpam-3998	359	3	(	(	PUNCT
ejpam-3998	359	4	h	h	NOUN
ejpam-3998	359	5	)	)	PUNCT
ejpam-3998	359	6	.	.	PUNCT
ejpam-3998	360	1	hence	hence	ADV
ejpam-3998	360	2	,	,	PUNCT
ejpam-3998	360	3	the	the	DET
ejpam-3998	360	4	bound	bind	VERB
ejpam-3998	360	5	in	in	ADP
ejpam-3998	360	6	corollary	corollary	ADJ
ejpam-3998	360	7	3(ii	3(ii	NUM
ejpam-3998	360	8	)	)	PUNCT
ejpam-3998	360	9	is	be	AUX
ejpam-3998	360	10	also	also	ADV
ejpam-3998	360	11	tight	tight	ADJ
ejpam-3998	360	12	.	.	PUNCT
ejpam-3998	361	1	conclusion	conclusion	NOUN
ejpam-3998	361	2	:	:	PUNCT
ejpam-3998	361	3	the	the	DET
ejpam-3998	361	4	concept	concept	NOUN
ejpam-3998	361	5	of	of	ADP
ejpam-3998	361	6	stable	stable	ADJ
ejpam-3998	361	7	locating	locating	NOUN
ejpam-3998	361	8	-	-	PUNCT
ejpam-3998	361	9	dominating	dominating	NOUN
ejpam-3998	361	10	set	set	NOUN
ejpam-3998	361	11	,	,	PUNCT
ejpam-3998	361	12	when	when	SCONJ
ejpam-3998	361	13	used	use	VERB
ejpam-3998	361	14	to	to	PART
ejpam-3998	361	15	place	place	VERB
ejpam-3998	361	16	or	or	CCONJ
ejpam-3998	361	17	install	install	VERB
ejpam-3998	361	18	monitoring	monitoring	NOUN
ejpam-3998	361	19	devices	device	NOUN
ejpam-3998	361	20	at	at	ADP
ejpam-3998	361	21	designated	designate	VERB
ejpam-3998	361	22	locations	location	NOUN
ejpam-3998	361	23	in	in	ADP
ejpam-3998	361	24	a	a	DET
ejpam-3998	361	25	given	give	VERB
ejpam-3998	361	26	system	system	NOUN
ejpam-3998	361	27	for	for	ADP
ejpam-3998	361	28	safeguard	safeguard	NOUN
ejpam-3998	361	29	by	by	ADP
ejpam-3998	361	30	identifying	identify	VERB
ejpam-3998	361	31	the	the	DET
ejpam-3998	361	32	exact	exact	ADJ
ejpam-3998	361	33	location	location	NOUN
ejpam-3998	361	34	of	of	ADP
ejpam-3998	361	35	an	an	DET
ejpam-3998	361	36	intruder	intruder	NOUN
ejpam-3998	361	37	when	when	SCONJ
ejpam-3998	361	38	a	a	DET
ejpam-3998	361	39	problem	problem	NOUN
ejpam-3998	361	40	in	in	ADP
ejpam-3998	361	41	a	a	DET
ejpam-3998	361	42	facility	facility	NOUN
ejpam-3998	361	43	occurs	occur	VERB
ejpam-3998	361	44	,	,	PUNCT
ejpam-3998	361	45	ensures	ensure	VERB
ejpam-3998	361	46	that	that	SCONJ
ejpam-3998	361	47	the	the	DET
ejpam-3998	361	48	remaining	remain	VERB
ejpam-3998	361	49	devices	device	NOUN
ejpam-3998	361	50	in	in	ADP
ejpam-3998	361	51	a	a	DET
ejpam-3998	361	52	system	system	NOUN
ejpam-3998	361	53	can	can	AUX
ejpam-3998	361	54	still	still	ADV
ejpam-3998	361	55	function	function	VERB
ejpam-3998	361	56	as	as	SCONJ
ejpam-3998	361	57	expected	expect	VERB
ejpam-3998	361	58	in	in	ADP
ejpam-3998	361	59	an	an	DET
ejpam-3998	361	60	event	event	NOUN
ejpam-3998	361	61	when	when	SCONJ
ejpam-3998	361	62	exactly	exactly	ADV
ejpam-3998	361	63	one	one	NUM
ejpam-3998	361	64	monitor	monitor	NOUN
ejpam-3998	361	65	becomes	become	VERB
ejpam-3998	361	66	non	non	ADJ
ejpam-3998	361	67	-	-	ADJ
ejpam-3998	361	68	functional	functional	ADJ
ejpam-3998	361	69	.	.	PUNCT
ejpam-3998	362	1	results	result	NOUN
ejpam-3998	362	2	generated	generate	VERB
ejpam-3998	362	3	in	in	ADP
ejpam-3998	362	4	this	this	DET
ejpam-3998	362	5	study	study	NOUN
ejpam-3998	362	6	were	be	AUX
ejpam-3998	362	7	obtained	obtain	VERB
ejpam-3998	362	8	using	use	VERB
ejpam-3998	362	9	other	other	ADJ
ejpam-3998	362	10	related	related	ADJ
ejpam-3998	362	11	concepts	concept	NOUN
ejpam-3998	362	12	.	.	PUNCT
ejpam-3998	363	1	it	it	PRON
ejpam-3998	363	2	may	may	AUX
ejpam-3998	363	3	be	be	AUX
ejpam-3998	363	4	interesting	interesting	ADJ
ejpam-3998	363	5	and	and	CCONJ
ejpam-3998	363	6	worthwhile	worthwhile	ADJ
ejpam-3998	363	7	to	to	PART
ejpam-3998	363	8	study	study	VERB
ejpam-3998	363	9	these	these	DET
ejpam-3998	363	10	concepts	concept	NOUN
ejpam-3998	363	11	and	and	CCONJ
ejpam-3998	363	12	continue	continue	VERB
ejpam-3998	363	13	this	this	DET
ejpam-3998	363	14	initial	initial	ADJ
ejpam-3998	363	15	investigation	investigation	NOUN
ejpam-3998	363	16	on	on	ADP
ejpam-3998	363	17	the	the	DET
ejpam-3998	363	18	concept	concept	NOUN
ejpam-3998	363	19	of	of	ADP
ejpam-3998	363	20	stable	stable	ADJ
ejpam-3998	363	21	locating	locating	NOUN
ejpam-3998	363	22	-	-	PUNCT
ejpam-3998	363	23	domination	domination	NOUN
ejpam-3998	363	24	.	.	PUNCT
ejpam-3998	364	1	acknowledgements	acknowledgement	NOUN
ejpam-3998	364	2	the	the	DET
ejpam-3998	364	3	authors	author	NOUN
ejpam-3998	364	4	would	would	AUX
ejpam-3998	364	5	like	like	VERB
ejpam-3998	364	6	to	to	PART
ejpam-3998	364	7	thank	thank	VERB
ejpam-3998	364	8	the	the	DET
ejpam-3998	364	9	department	department	NOUN
ejpam-3998	364	10	of	of	ADP
ejpam-3998	364	11	science	science	NOUN
ejpam-3998	364	12	and	and	CCONJ
ejpam-3998	364	13	technology	technology	NOUN
ejpam-3998	364	14	accelerated	accelerate	VERB
ejpam-3998	364	15	science	science	NOUN
ejpam-3998	364	16	and	and	CCONJ
ejpam-3998	364	17	technology	technology	NOUN
ejpam-3998	364	18	human	human	ADJ
ejpam-3998	364	19	resource	resource	NOUN
ejpam-3998	364	20	development	development	NOUN
ejpam-3998	364	21	program	program	NOUN
ejpam-3998	364	22	(	(	PUNCT
ejpam-3998	364	23	dost	dost	NOUN
ejpam-3998	364	24	-	-	PUNCT
ejpam-3998	364	25	asthrdp)philippines	asthrdp)philippine	NOUN
ejpam-3998	364	26	,	,	PUNCT
ejpam-3998	364	27	and	and	CCONJ
ejpam-3998	364	28	msu	msu	PROPN
ejpam-3998	364	29	-	-	PUNCT
ejpam-3998	364	30	iligan	iligan	PROPN
ejpam-3998	364	31	institute	institute	PROPN
ejpam-3998	364	32	of	of	ADP
ejpam-3998	364	33	technology	technology	NOUN
ejpam-3998	364	34	for	for	ADP
ejpam-3998	364	35	funding	fund	VERB
ejpam-3998	364	36	this	this	DET
ejpam-3998	364	37	research	research	NOUN
ejpam-3998	364	38	.	.	PUNCT
ejpam-3998	365	1	references	reference	NOUN
ejpam-3998	365	2	[	[	X
ejpam-3998	365	3	1	1	X
ejpam-3998	365	4	]	]	PUNCT
ejpam-3998	365	5	s.	s.	PROPN
ejpam-3998	365	6	canoy	canoy	PROPN
ejpam-3998	365	7	and	and	CCONJ
ejpam-3998	365	8	g.	g.	PROPN
ejpam-3998	365	9	malacas	malacas	PROPN
ejpam-3998	365	10	.	.	PUNCT
ejpam-3998	366	1	determining	determine	VERB
ejpam-3998	366	2	the	the	DET
ejpam-3998	366	3	intruder	intruder	NOUN
ejpam-3998	366	4	’s	’s	PART
ejpam-3998	366	5	location	location	NOUN
ejpam-3998	366	6	in	in	ADP
ejpam-3998	366	7	a	a	DET
ejpam-3998	366	8	given	give	VERB
ejpam-3998	366	9	network	network	NOUN
ejpam-3998	366	10	:	:	PUNCT
ejpam-3998	366	11	locating	locate	VERB
ejpam-3998	366	12	-	-	PUNCT
ejpam-3998	366	13	dominating	dominating	NOUN
ejpam-3998	366	14	sets	set	NOUN
ejpam-3998	366	15	in	in	ADP
ejpam-3998	366	16	a	a	DET
ejpam-3998	366	17	graph	graph	NOUN
ejpam-3998	366	18	.	.	PUNCT
ejpam-3998	367	1	nrcp	nrcp	PROPN
ejpam-3998	367	2	research	research	PROPN
ejpam-3998	367	3	journal	journal	PROPN
ejpam-3998	367	4	.	.	PUNCT
ejpam-3998	367	5	,	,	PUNCT
ejpam-3998	367	6	13(1):1–8	13(1):1–8	NUM
ejpam-3998	367	7	,	,	PUNCT
ejpam-3998	367	8	2013	2013	NUM
ejpam-3998	367	9	.	.	PUNCT
ejpam-3998	368	1	[	[	X
ejpam-3998	368	2	2	2	X
ejpam-3998	368	3	]	]	PUNCT
ejpam-3998	368	4	s.	s.	PROPN
ejpam-3998	368	5	canoy	canoy	PROPN
ejpam-3998	368	6	and	and	CCONJ
ejpam-3998	368	7	g.	g.	PROPN
ejpam-3998	368	8	malacas	malacas	PROPN
ejpam-3998	368	9	.	.	PUNCT
ejpam-3998	369	1	differentiating	differentiate	VERB
ejpam-3998	369	2	-	-	PUNCT
ejpam-3998	369	3	dominating	dominating	NOUN
ejpam-3998	369	4	sets	set	NOUN
ejpam-3998	369	5	in	in	ADP
ejpam-3998	369	6	graphs	graph	NOUN
ejpam-3998	369	7	under	under	ADP
ejpam-3998	369	8	binary	binary	ADJ
ejpam-3998	369	9	operations	operation	NOUN
ejpam-3998	369	10	.	.	PUNCT
ejpam-3998	370	1	tamkang	tamkang	PROPN
ejpam-3998	370	2	journal	journal	PROPN
ejpam-3998	370	3	of	of	ADP
ejpam-3998	370	4	mathematics	mathematic	NOUN
ejpam-3998	370	5	,	,	PUNCT
ejpam-3998	370	6	46(1):51–60	46(1):51–60	NOUN
ejpam-3998	370	7	,	,	PUNCT
ejpam-3998	370	8	2015	2015	NUM
ejpam-3998	370	9	.	.	PUNCT
ejpam-3998	371	1	[	[	X
ejpam-3998	371	2	3	3	NUM
ejpam-3998	371	3	]	]	PUNCT
ejpam-3998	371	4	a.	a.	NOUN
ejpam-3998	371	5	finbow	finbow	NOUN
ejpam-3998	371	6	and	and	CCONJ
ejpam-3998	371	7	b.l	b.l	PROPN
ejpam-3998	371	8	.	.	PROPN
ejpam-3998	371	9	hartnell	hartnell	PROPN
ejpam-3998	371	10	.	.	PUNCT
ejpam-3998	372	1	on	on	ADP
ejpam-3998	372	2	locating	locate	VERB
ejpam-3998	372	3	-	-	PUNCT
ejpam-3998	372	4	dominating	dominating	NOUN
ejpam-3998	372	5	sets	set	NOUN
ejpam-3998	372	6	and	and	CCONJ
ejpam-3998	372	7	well	well	ADV
ejpam-3998	372	8	-	-	PUNCT
ejpam-3998	372	9	covered	cover	VERB
ejpam-3998	372	10	graphs	graph	NOUN
ejpam-3998	372	11	.	.	PUNCT
ejpam-3998	373	1	congr	congr	NOUN
ejpam-3998	373	2	.	.	PUNCT
ejpam-3998	374	1	numer	numer	PROPN
ejpam-3998	374	2	.	.	PROPN
ejpam-3998	374	3	,	,	PUNCT
ejpam-3998	375	1	65:191–200	65:191–200	NUM
ejpam-3998	375	2	,	,	PUNCT
ejpam-3998	375	3	1988	1988	NUM
ejpam-3998	375	4	.	.	PUNCT
ejpam-3998	376	1	[	[	X
ejpam-3998	376	2	4	4	X
ejpam-3998	376	3	]	]	PUNCT
ejpam-3998	376	4	j.	j.	PROPN
ejpam-3998	376	5	gimbel	gimbel	PROPN
ejpam-3998	376	6	,	,	PUNCT
ejpam-3998	376	7	b.	b.	PROPN
ejpam-3998	376	8	van	van	PROPN
ejpam-3998	376	9	gorden	gorden	PROPN
ejpam-3998	376	10	,	,	PUNCT
ejpam-3998	376	11	m.	m.	NOUN
ejpam-3998	376	12	nicolescu	nicolescu	PROPN
ejpam-3998	376	13	,	,	PUNCT
ejpam-3998	376	14	c.	c.	PROPN
ejpam-3998	376	15	umstead	umstead	PROPN
ejpam-3998	376	16	,	,	PUNCT
ejpam-3998	376	17	and	and	CCONJ
ejpam-3998	376	18	n.	n.	PROPN
ejpam-3998	376	19	vaiana	vaiana	PROPN
ejpam-3998	376	20	.	.	PUNCT
ejpam-3998	377	1	location	location	NOUN
ejpam-3998	377	2	with	with	ADP
ejpam-3998	377	3	dominating	dominating	NOUN
ejpam-3998	377	4	sets	set	NOUN
ejpam-3998	377	5	.	.	PUNCT
ejpam-3998	378	1	congr	congr	NOUN
ejpam-3998	378	2	.	.	PUNCT
ejpam-3998	379	1	numer	numer	PROPN
ejpam-3998	379	2	.	.	PROPN
ejpam-3998	379	3	,	,	PUNCT
ejpam-3998	379	4	151:129–144	151:129–144	NUM
ejpam-3998	379	5	,	,	PUNCT
ejpam-3998	379	6	2001	2001	NUM
ejpam-3998	379	7	.	.	PUNCT
ejpam-3998	380	1	references	reference	NOUN
ejpam-3998	380	2	649	649	NUM
ejpam-3998	380	3	[	[	X
ejpam-3998	380	4	5	5	NUM
ejpam-3998	380	5	]	]	X
ejpam-3998	380	6	t.w	t.w	PROPN
ejpam-3998	380	7	.	.	PROPN
ejpam-3998	380	8	haynes	haynes	PROPN
ejpam-3998	380	9	,	,	PUNCT
ejpam-3998	380	10	m.a	m.a	PROPN
ejpam-3998	380	11	.	.	PROPN
ejpam-3998	380	12	henning	henning	PROPN
ejpam-3998	380	13	,	,	PUNCT
ejpam-3998	380	14	and	and	CCONJ
ejpam-3998	380	15	j.	j.	PROPN
ejpam-3998	380	16	howard	howard	PROPN
ejpam-3998	380	17	.	.	PUNCT
ejpam-3998	381	1	locating	locate	VERB
ejpam-3998	381	2	and	and	CCONJ
ejpam-3998	381	3	total	total	ADJ
ejpam-3998	381	4	dominating	dominating	NOUN
ejpam-3998	381	5	sets	set	NOUN
ejpam-3998	381	6	in	in	ADP
ejpam-3998	381	7	trees	tree	NOUN
ejpam-3998	381	8	.	.	PUNCT
ejpam-3998	382	1	discrete	discrete	ADJ
ejpam-3998	382	2	applied	apply	VERB
ejpam-3998	382	3	mathematics	mathematic	NOUN
ejpam-3998	382	4	,	,	PUNCT
ejpam-3998	382	5	154(8):1293–1300	154(8):1293–1300	NUM
ejpam-3998	382	6	,	,	PUNCT
ejpam-3998	382	7	2006	2006	NUM
ejpam-3998	382	8	.	.	PUNCT
ejpam-3998	383	1	[	[	X
ejpam-3998	383	2	6	6	NUM
ejpam-3998	383	3	]	]	X
ejpam-3998	383	4	p.j	p.j	PROPN
ejpam-3998	383	5	.	.	PROPN
ejpam-3998	383	6	slater	slater	PROPN
ejpam-3998	383	7	.	.	PUNCT
ejpam-3998	384	1	dominating	dominating	NOUN
ejpam-3998	384	2	and	and	CCONJ
ejpam-3998	384	3	location	location	NOUN
ejpam-3998	384	4	in	in	ADP
ejpam-3998	384	5	acyclic	acyclic	ADJ
ejpam-3998	384	6	graphs	graph	NOUN
ejpam-3998	384	7	.	.	PUNCT
ejpam-3998	385	1	networks	network	NOUN
ejpam-3998	385	2	,	,	PUNCT
ejpam-3998	385	3	17:55–64	17:55–64	PROPN
ejpam-3998	385	4	,	,	PUNCT
ejpam-3998	385	5	1987	1987	NUM
ejpam-3998	385	6	.	.	PUNCT
ejpam-3998	386	1	[	[	X
ejpam-3998	386	2	7	7	NUM
ejpam-3998	386	3	]	]	X
ejpam-3998	386	4	p.j	p.j	PROPN
ejpam-3998	386	5	.	.	PROPN
ejpam-3998	386	6	slater	slater	PROPN
ejpam-3998	386	7	.	.	PUNCT
ejpam-3998	387	1	dominating	dominating	NOUN
ejpam-3998	387	2	and	and	CCONJ
ejpam-3998	387	3	reference	reference	NOUN
ejpam-3998	387	4	sets	set	NOUN
ejpam-3998	387	5	in	in	ADP
ejpam-3998	387	6	graphs	graph	NOUN
ejpam-3998	387	7	.	.	PUNCT
ejpam-3998	388	1	j.	j.	PROPN
ejpam-3998	388	2	math	math	PROPN
ejpam-3998	388	3	.	.	PUNCT
ejpam-3998	389	1	phys	phy	NOUN
ejpam-3998	389	2	.	.	PUNCT
ejpam-3998	390	1	sci	sci	PROPN
ejpam-3998	390	2	.	.	PROPN
ejpam-3998	390	3	,	,	PUNCT
ejpam-3998	390	4	22:445–455	22:445–455	PROPN
ejpam-3998	390	5	,	,	PUNCT
ejpam-3998	390	6	1988	1988	NUM
ejpam-3998	390	7	.	.	PUNCT
ejpam-3998	391	1	[	[	X
ejpam-3998	391	2	8	8	NUM
ejpam-3998	391	3	]	]	X
ejpam-3998	391	4	p.j	p.j	PROPN
ejpam-3998	391	5	.	.	PROPN
ejpam-3998	391	6	slater	slater	PROPN
ejpam-3998	391	7	.	.	PUNCT
ejpam-3998	392	1	fault	fault	NOUN
ejpam-3998	392	2	-	-	PUNCT
ejpam-3998	392	3	tolerant	tolerant	ADJ
ejpam-3998	392	4	locating	locating	NOUN
ejpam-3998	392	5	-	-	PUNCT
ejpam-3998	392	6	dominating	dominating	NOUN
ejpam-3998	392	7	sets	set	NOUN
ejpam-3998	392	8	.	.	PUNCT
ejpam-3998	393	1	discrete	discrete	ADJ
ejpam-3998	393	2	mathematics	mathematic	NOUN
ejpam-3998	393	3	,	,	PUNCT
ejpam-3998	393	4	249:179	249:179	NOUN
ejpam-3998	393	5	–	–	PUNCT
ejpam-3998	393	6	189	189	NUM
ejpam-3998	393	7	,	,	PUNCT
ejpam-3998	393	8	2002	2002	NUM
ejpam-3998	393	9	.	.	PUNCT