id	sid	tid	token	lemma	pos
ejpam-6065	1	1	european	european	PROPN
ejpam-6065	1	2	journal	journal	PROPN
ejpam-6065	1	3	of	of	ADP
ejpam-6065	1	4	pure	pure	ADJ
ejpam-6065	1	5	and	and	CCONJ
ejpam-6065	1	6	applied	applied	ADJ
ejpam-6065	1	7	mathematics	mathematic	NOUN
ejpam-6065	1	8	2025	2025	NUM
ejpam-6065	1	9	,	,	PUNCT
ejpam-6065	1	10	vol	vol	NOUN
ejpam-6065	1	11	.	.	PROPN
ejpam-6065	1	12	18	18	NUM
ejpam-6065	1	13	,	,	PUNCT
ejpam-6065	1	14	issue	issue	NOUN
ejpam-6065	1	15	2	2	NUM
ejpam-6065	1	16	,	,	PUNCT
ejpam-6065	1	17	article	article	NOUN
ejpam-6065	1	18	number	number	NOUN
ejpam-6065	1	19	6065	6065	NUM
ejpam-6065	1	20	issn	issn	PROPN
ejpam-6065	1	21	1307	1307	NUM
ejpam-6065	1	22	-	-	SYM
ejpam-6065	1	23	5543	5543	NUM
ejpam-6065	1	24	–	–	PUNCT
ejpam-6065	1	25	ejpam.com	ejpam.com	X
ejpam-6065	1	26	published	publish	VERB
ejpam-6065	1	27	by	by	ADP
ejpam-6065	1	28	new	new	PROPN
ejpam-6065	1	29	york	york	PROPN
ejpam-6065	1	30	business	business	PROPN
ejpam-6065	1	31	global	global	ADJ
ejpam-6065	1	32	forcing	force	VERB
ejpam-6065	1	33	clique	clique	ADJ
ejpam-6065	1	34	domination	domination	NOUN
ejpam-6065	1	35	in	in	ADP
ejpam-6065	1	36	graphs	graph	NOUN
ejpam-6065	1	37	cris	cris	PROPN
ejpam-6065	1	38	l.	l.	PROPN
ejpam-6065	1	39	armada3,4,∗	armada3,4,∗	PROPN
ejpam-6065	1	40	,	,	PUNCT
ejpam-6065	1	41	edward	edward	PROPN
ejpam-6065	1	42	m.	m.	PROPN
ejpam-6065	1	43	kiunisala1,2	kiunisala1,2	PROPN
ejpam-6065	1	44	,	,	PUNCT
ejpam-6065	1	45	cristopher	cristopher	PROPN
ejpam-6065	1	46	john	john	PROPN
ejpam-6065	1	47	s.	s.	PROPN
ejpam-6065	1	48	rosero1	rosero1	PROPN
ejpam-6065	1	49	,	,	PUNCT
ejpam-6065	1	50	jeneveb	jeneveb	PROPN
ejpam-6065	1	51	t.	t.	NOUN
ejpam-6065	1	52	malusay1	malusay1	NOUN
ejpam-6065	1	53	1	1	NUM
ejpam-6065	1	54	mathematics	mathematics	PROPN
ejpam-6065	1	55	department	department	NOUN
ejpam-6065	1	56	,	,	PUNCT
ejpam-6065	1	57	college	college	NOUN
ejpam-6065	1	58	of	of	ADP
ejpam-6065	1	59	computing	computing	NOUN
ejpam-6065	1	60	,	,	PUNCT
ejpam-6065	1	61	artificial	artificial	ADJ
ejpam-6065	1	62	intelligence	intelligence	NOUN
ejpam-6065	1	63	and	and	CCONJ
ejpam-6065	1	64	sciences	science	NOUN
ejpam-6065	1	65	,	,	PUNCT
ejpam-6065	1	66	cebu	cebu	NOUN
ejpam-6065	1	67	normal	normal	ADJ
ejpam-6065	1	68	university	university	NOUN
ejpam-6065	1	69	,	,	PUNCT
ejpam-6065	1	70	6000	6000	NUM
ejpam-6065	1	71	cebu	cebu	NOUN
ejpam-6065	1	72	city	city	NOUN
ejpam-6065	1	73	,	,	PUNCT
ejpam-6065	1	74	philippines	philippine	NOUN
ejpam-6065	1	75	2	2	NUM
ejpam-6065	1	76	research	research	NOUN
ejpam-6065	1	77	institute	institute	NOUN
ejpam-6065	1	78	for	for	ADP
ejpam-6065	1	79	computational	computational	ADJ
ejpam-6065	1	80	,	,	PUNCT
ejpam-6065	1	81	mathematics	mathematic	NOUN
ejpam-6065	1	82	and	and	CCONJ
ejpam-6065	1	83	physics	physics	NOUN
ejpam-6065	1	84	,	,	PUNCT
ejpam-6065	1	85	cebu	cebu	NOUN
ejpam-6065	1	86	normal	normal	ADJ
ejpam-6065	1	87	university	university	NOUN
ejpam-6065	1	88	,	,	PUNCT
ejpam-6065	1	89	6000	6000	NUM
ejpam-6065	1	90	cebu	cebu	NOUN
ejpam-6065	1	91	city	city	NOUN
ejpam-6065	1	92	,	,	PUNCT
ejpam-6065	1	93	philippines	philippines	PROPN
ejpam-6065	1	94	3	3	NUM
ejpam-6065	1	95	vietnam	vietnam	PROPN
ejpam-6065	1	96	national	national	PROPN
ejpam-6065	1	97	university	university	PROPN
ejpam-6065	1	98	ho	ho	PROPN
ejpam-6065	1	99	chi	chi	PROPN
ejpam-6065	1	100	minh	minh	PROPN
ejpam-6065	1	101	city	city	PROPN
ejpam-6065	1	102	,	,	PUNCT
ejpam-6065	1	103	linh	linh	NOUN
ejpam-6065	1	104	trung	trung	VERB
ejpam-6065	1	105	ward	ward	NOUN
ejpam-6065	1	106	,	,	PUNCT
ejpam-6065	1	107	thu	thu	PROPN
ejpam-6065	1	108	duc	duc	PROPN
ejpam-6065	1	109	city	city	PROPN
ejpam-6065	1	110	,	,	PUNCT
ejpam-6065	1	111	ho	ho	PROPN
ejpam-6065	1	112	chi	chi	PROPN
ejpam-6065	1	113	minh	minh	PROPN
ejpam-6065	1	114	city	city	PROPN
ejpam-6065	1	115	,	,	PUNCT
ejpam-6065	1	116	vietnam	vietnam	PROPN
ejpam-6065	1	117	4	4	NUM
ejpam-6065	1	118	department	department	NOUN
ejpam-6065	1	119	of	of	ADP
ejpam-6065	1	120	applied	apply	VERB
ejpam-6065	1	121	mathematics	mathematic	NOUN
ejpam-6065	1	122	,	,	PUNCT
ejpam-6065	1	123	faculty	faculty	NOUN
ejpam-6065	1	124	of	of	ADP
ejpam-6065	1	125	applied	apply	VERB
ejpam-6065	1	126	science	science	NOUN
ejpam-6065	1	127	,	,	PUNCT
ejpam-6065	1	128	ho	ho	PROPN
ejpam-6065	1	129	chi	chi	PROPN
ejpam-6065	1	130	minh	minh	PROPN
ejpam-6065	1	131	city	city	PROPN
ejpam-6065	1	132	university	university	PROPN
ejpam-6065	1	133	of	of	ADP
ejpam-6065	1	134	technology	technology	NOUN
ejpam-6065	1	135	(	(	PUNCT
ejpam-6065	1	136	hcmut	hcmut	ADJ
ejpam-6065	1	137	)	)	PUNCT
ejpam-6065	1	138	,	,	PUNCT
ejpam-6065	1	139	268	268	NUM
ejpam-6065	1	140	ly	ly	ADP
ejpam-6065	1	141	thuong	thuong	NOUN
ejpam-6065	1	142	kiet	kiet	PROPN
ejpam-6065	1	143	,	,	PUNCT
ejpam-6065	1	144	district	district	NOUN
ejpam-6065	1	145	10	10	NUM
ejpam-6065	1	146	,	,	PUNCT
ejpam-6065	1	147	ward	ward	NOUN
ejpam-6065	1	148	14	14	NUM
ejpam-6065	1	149	,	,	PUNCT
ejpam-6065	1	150	ho	ho	PROPN
ejpam-6065	1	151	chi	chi	PROPN
ejpam-6065	1	152	minh	minh	PROPN
ejpam-6065	1	153	city	city	PROPN
ejpam-6065	1	154	,	,	PUNCT
ejpam-6065	1	155	vietnam	vietnam	PROPN
ejpam-6065	1	156	abstract	abstract	NOUN
ejpam-6065	1	157	.	.	PUNCT
ejpam-6065	2	1	the	the	DET
ejpam-6065	2	2	clique	clique	ADJ
ejpam-6065	2	3	domination	domination	NOUN
ejpam-6065	2	4	number	number	NOUN
ejpam-6065	2	5	of	of	ADP
ejpam-6065	2	6	some	some	DET
ejpam-6065	2	7	special	special	ADJ
ejpam-6065	2	8	graphs	graph	NOUN
ejpam-6065	2	9	such	such	ADJ
ejpam-6065	2	10	as	as	ADP
ejpam-6065	2	11	paths	path	NOUN
ejpam-6065	2	12	,	,	PUNCT
ejpam-6065	2	13	cycles	cycle	NOUN
ejpam-6065	2	14	,	,	PUNCT
ejpam-6065	2	15	complete	complete	ADJ
ejpam-6065	2	16	graphs	graph	NOUN
ejpam-6065	2	17	,	,	PUNCT
ejpam-6065	2	18	generalized	generalized	ADJ
ejpam-6065	2	19	wheels	wheel	NOUN
ejpam-6065	2	20	,	,	PUNCT
ejpam-6065	2	21	generalized	generalized	ADJ
ejpam-6065	2	22	fans	fan	NOUN
ejpam-6065	2	23	,	,	PUNCT
ejpam-6065	2	24	and	and	CCONJ
ejpam-6065	2	25	complete	complete	ADJ
ejpam-6065	2	26	bipartite	bipartite	NOUN
ejpam-6065	2	27	graphs	graph	NOUN
ejpam-6065	2	28	is	be	AUX
ejpam-6065	2	29	presented	present	VERB
ejpam-6065	2	30	.	.	PUNCT
ejpam-6065	3	1	the	the	DET
ejpam-6065	3	2	forcing	force	VERB
ejpam-6065	3	3	clique	clique	NOUN
ejpam-6065	3	4	domination	domination	NOUN
ejpam-6065	3	5	number	number	NOUN
ejpam-6065	3	6	of	of	ADP
ejpam-6065	3	7	these	these	DET
ejpam-6065	3	8	graphs	graph	NOUN
ejpam-6065	3	9	,	,	PUNCT
ejpam-6065	3	10	along	along	ADP
ejpam-6065	3	11	with	with	ADP
ejpam-6065	3	12	binary	binary	ADJ
ejpam-6065	3	13	operations	operation	NOUN
ejpam-6065	3	14	such	such	ADJ
ejpam-6065	3	15	as	as	ADP
ejpam-6065	3	16	join	join	NOUN
ejpam-6065	3	17	,	,	PUNCT
ejpam-6065	3	18	corona	corona	NOUN
ejpam-6065	3	19	,	,	PUNCT
ejpam-6065	3	20	and	and	CCONJ
ejpam-6065	3	21	lexicographic	lexicographic	ADJ
ejpam-6065	3	22	product	product	NOUN
ejpam-6065	3	23	of	of	ADP
ejpam-6065	3	24	two	two	NUM
ejpam-6065	3	25	graphs	graph	NOUN
ejpam-6065	3	26	,	,	PUNCT
ejpam-6065	3	27	is	be	AUX
ejpam-6065	3	28	also	also	ADV
ejpam-6065	3	29	determined	determine	VERB
ejpam-6065	3	30	.	.	PUNCT
ejpam-6065	4	1	connected	connect	VERB
ejpam-6065	4	2	graphs	graph	NOUN
ejpam-6065	4	3	with	with	ADP
ejpam-6065	4	4	forcing	force	VERB
ejpam-6065	4	5	clique	clique	ADJ
ejpam-6065	4	6	domination	domination	NOUN
ejpam-6065	4	7	number	number	NOUN
ejpam-6065	4	8	equal	equal	ADJ
ejpam-6065	4	9	to	to	ADP
ejpam-6065	4	10	0	0	NUM
ejpam-6065	4	11	,	,	PUNCT
ejpam-6065	4	12	1	1	NUM
ejpam-6065	4	13	,	,	PUNCT
ejpam-6065	4	14	or	or	CCONJ
ejpam-6065	4	15	a	a	PRON
ejpam-6065	4	16	,	,	PUNCT
ejpam-6065	4	17	where	where	SCONJ
ejpam-6065	4	18	a	a	PRON
ejpam-6065	4	19	is	be	AUX
ejpam-6065	4	20	greater	great	ADJ
ejpam-6065	4	21	than	than	ADP
ejpam-6065	4	22	1	1	NUM
ejpam-6065	4	23	but	but	CCONJ
ejpam-6065	4	24	less	less	ADJ
ejpam-6065	4	25	than	than	ADP
ejpam-6065	4	26	the	the	DET
ejpam-6065	4	27	clique	clique	NOUN
ejpam-6065	4	28	domination	domination	NOUN
ejpam-6065	4	29	number	number	NOUN
ejpam-6065	4	30	,	,	PUNCT
ejpam-6065	4	31	are	be	AUX
ejpam-6065	4	32	characterized	characterize	VERB
ejpam-6065	4	33	.	.	PUNCT
ejpam-6065	5	1	necessary	necessary	ADJ
ejpam-6065	5	2	and	and	CCONJ
ejpam-6065	5	3	sufficient	sufficient	ADJ
ejpam-6065	5	4	conditions	condition	NOUN
ejpam-6065	5	5	for	for	ADP
ejpam-6065	5	6	the	the	DET
ejpam-6065	5	7	forcing	force	VERB
ejpam-6065	5	8	clique	clique	NOUN
ejpam-6065	5	9	domination	domination	NOUN
ejpam-6065	5	10	number	number	NOUN
ejpam-6065	5	11	to	to	PART
ejpam-6065	5	12	be	be	AUX
ejpam-6065	5	13	equal	equal	ADJ
ejpam-6065	5	14	to	to	ADP
ejpam-6065	5	15	the	the	DET
ejpam-6065	5	16	clique	clique	ADJ
ejpam-6065	5	17	domination	domination	NOUN
ejpam-6065	5	18	number	number	NOUN
ejpam-6065	5	19	are	be	AUX
ejpam-6065	5	20	given	give	VERB
ejpam-6065	5	21	.	.	PUNCT
ejpam-6065	6	1	since	since	SCONJ
ejpam-6065	6	2	some	some	PRON
ejpam-6065	6	3	of	of	ADP
ejpam-6065	6	4	the	the	DET
ejpam-6065	6	5	graphs	graph	NOUN
ejpam-6065	6	6	in	in	ADP
ejpam-6065	6	7	this	this	DET
ejpam-6065	6	8	study	study	NOUN
ejpam-6065	6	9	do	do	AUX
ejpam-6065	6	10	not	not	PART
ejpam-6065	6	11	have	have	VERB
ejpam-6065	6	12	a	a	DET
ejpam-6065	6	13	clique	clique	ADJ
ejpam-6065	6	14	dominating	dominating	NOUN
ejpam-6065	6	15	set	set	NOUN
ejpam-6065	6	16	,	,	PUNCT
ejpam-6065	6	17	the	the	DET
ejpam-6065	6	18	forcing	force	VERB
ejpam-6065	6	19	clique	clique	NOUN
ejpam-6065	6	20	domination	domination	NOUN
ejpam-6065	6	21	number	number	NOUN
ejpam-6065	6	22	is	be	AUX
ejpam-6065	6	23	undefined	undefined	ADJ
ejpam-6065	6	24	in	in	ADP
ejpam-6065	6	25	those	those	DET
ejpam-6065	6	26	cases	case	NOUN
ejpam-6065	6	27	.	.	PUNCT
ejpam-6065	7	1	2020	2020	NUM
ejpam-6065	7	2	mathematics	mathematic	NOUN
ejpam-6065	7	3	subject	subject	NOUN
ejpam-6065	7	4	classifications	classification	NOUN
ejpam-6065	7	5	:	:	PUNCT
ejpam-6065	7	6	05c38	05c38	NOUN
ejpam-6065	7	7	,	,	PUNCT
ejpam-6065	7	8	05c69	05c69	NUM
ejpam-6065	7	9	,	,	PUNCT
ejpam-6065	7	10	05c76	05c76	DET
ejpam-6065	7	11	key	key	ADJ
ejpam-6065	7	12	words	word	NOUN
ejpam-6065	7	13	and	and	CCONJ
ejpam-6065	7	14	phrases	phrase	NOUN
ejpam-6065	7	15	:	:	PUNCT
ejpam-6065	7	16	forcing	force	VERB
ejpam-6065	7	17	domination	domination	NOUN
ejpam-6065	7	18	,	,	PUNCT
ejpam-6065	7	19	clique	clique	NOUN
ejpam-6065	7	20	domination	domination	NOUN
ejpam-6065	7	21	,	,	PUNCT
ejpam-6065	7	22	forcing	force	VERB
ejpam-6065	7	23	clique	clique	ADJ
ejpam-6065	7	24	domination	domination	NOUN
ejpam-6065	7	25	number	number	NOUN
ejpam-6065	7	26	1	1	NUM
ejpam-6065	7	27	.	.	PUNCT
ejpam-6065	8	1	introduction	introduction	NOUN
ejpam-6065	8	2	let	let	VERB
ejpam-6065	8	3	g	g	NOUN
ejpam-6065	8	4	=	=	SYM
ejpam-6065	8	5	(	(	PUNCT
ejpam-6065	8	6	v	v	NOUN
ejpam-6065	8	7	(	(	PUNCT
ejpam-6065	8	8	g	g	NOUN
ejpam-6065	8	9	)	)	PUNCT
ejpam-6065	8	10	,	,	PUNCT
ejpam-6065	8	11	e(g	e(g	PROPN
ejpam-6065	8	12	)	)	PUNCT
ejpam-6065	8	13	)	)	PUNCT
ejpam-6065	8	14	be	be	AUX
ejpam-6065	8	15	a	a	DET
ejpam-6065	8	16	graph.for	graph.for	ADP
ejpam-6065	8	17	any	any	DET
ejpam-6065	8	18	vertex	vertex	NOUN
ejpam-6065	8	19	t	t	PROPN
ejpam-6065	8	20	∈	∈	PROPN
ejpam-6065	8	21	v	v	X
ejpam-6065	8	22	(	(	PUNCT
ejpam-6065	8	23	g),the	g),the	X
ejpam-6065	8	24	closed	closed	ADJ
ejpam-6065	8	25	neighborhood	neighborhood	NOUN
ejpam-6065	8	26	of	of	ADP
ejpam-6065	8	27	t	t	PROPN
ejpam-6065	8	28	is	be	AUX
ejpam-6065	8	29	defined	define	VERB
ejpam-6065	8	30	as	as	ADP
ejpam-6065	8	31	the	the	DET
ejpam-6065	8	32	set	set	NOUN
ejpam-6065	8	33	ng[t	ng[t	PROPN
ejpam-6065	8	34	]	]	X
ejpam-6065	8	35	=	=	X
ejpam-6065	8	36	{	{	PUNCT
ejpam-6065	8	37	t	t	NOUN
ejpam-6065	8	38	}	}	PUNCT
ejpam-6065	8	39	∪	∪	NOUN
ejpam-6065	8	40	{	{	PUNCT
ejpam-6065	8	41	s	s	NOUN
ejpam-6065	8	42	∈	∈	X
ejpam-6065	8	43	v	v	NOUN
ejpam-6065	8	44	(	(	PUNCT
ejpam-6065	8	45	g	g	NOUN
ejpam-6065	8	46	)	)	PUNCT
ejpam-6065	8	47	:	:	PUNCT
ejpam-6065	8	48	st	st	PROPN
ejpam-6065	8	49	∈	∈	PROPN
ejpam-6065	8	50	e(g	e(g	PROPN
ejpam-6065	8	51	)	)	PUNCT
ejpam-6065	8	52	}	}	PUNCT
ejpam-6065	8	53	.	.	PUNCT
ejpam-6065	9	1	if	if	SCONJ
ejpam-6065	9	2	t	t	PROPN
ejpam-6065	9	3	is	be	AUX
ejpam-6065	9	4	a	a	DET
ejpam-6065	9	5	nonempty	nonempty	ADJ
ejpam-6065	9	6	subset	subset	NOUN
ejpam-6065	9	7	of	of	ADP
ejpam-6065	9	8	x	x	PRON
ejpam-6065	9	9	,	,	PUNCT
ejpam-6065	9	10	then	then	ADV
ejpam-6065	9	11	ng[t	ng[t	PROPN
ejpam-6065	9	12	]	]	PUNCT
ejpam-6065	10	1	=	=	PUNCT
ejpam-6065	10	2	⋃	⋃	NOUN
ejpam-6065	10	3	t∈t	t∈t	ADJ
ejpam-6065	10	4	ng[t	ng[t	PROPN
ejpam-6065	10	5	]	]	PUNCT
ejpam-6065	10	6	.	.	PUNCT
ejpam-6065	11	1	a	a	DET
ejpam-6065	11	2	nonempty	nonempty	ADV
ejpam-6065	11	3	set	set	VERB
ejpam-6065	11	4	t	t	PROPN
ejpam-6065	11	5	⊆	⊆	NUM
ejpam-6065	11	6	v	v	NOUN
ejpam-6065	11	7	(	(	PUNCT
ejpam-6065	11	8	g	g	NOUN
ejpam-6065	11	9	)	)	PUNCT
ejpam-6065	11	10	is	be	AUX
ejpam-6065	11	11	a	a	DET
ejpam-6065	11	12	dominating	dominating	NOUN
ejpam-6065	11	13	set	set	NOUN
ejpam-6065	11	14	of	of	ADP
ejpam-6065	11	15	g	g	PROPN
ejpam-6065	11	16	if	if	SCONJ
ejpam-6065	11	17	for	for	ADP
ejpam-6065	11	18	every	every	DET
ejpam-6065	11	19	u	u	PROPN
ejpam-6065	11	20	∈	∈	PROPN
ejpam-6065	11	21	v	v	NOUN
ejpam-6065	11	22	(	(	PUNCT
ejpam-6065	11	23	g)\t	g)\t	PROPN
ejpam-6065	11	24	,	,	PUNCT
ejpam-6065	11	25	there	there	PRON
ejpam-6065	11	26	exists	exist	VERB
ejpam-6065	11	27	t	t	PROPN
ejpam-6065	11	28	∈	∈	PROPN
ejpam-6065	11	29	t	t	PROPN
ejpam-6065	11	30	such	such	ADJ
ejpam-6065	11	31	that	that	SCONJ
ejpam-6065	11	32	tu	tu	PROPN
ejpam-6065	11	33	∈	∈	PROPN
ejpam-6065	11	34	e(g	e(g	PROPN
ejpam-6065	11	35	)	)	PUNCT
ejpam-6065	11	36	,	,	PUNCT
ejpam-6065	11	37	that	that	ADV
ejpam-6065	11	38	is	be	AUX
ejpam-6065	11	39	,	,	PUNCT
ejpam-6065	11	40	ng[t	ng[t	PROPN
ejpam-6065	11	41	]	]	PUNCT
ejpam-6065	12	1	=	=	SYM
ejpam-6065	12	2	v	v	X
ejpam-6065	12	3	(	(	PUNCT
ejpam-6065	12	4	g	g	NOUN
ejpam-6065	12	5	)	)	PUNCT
ejpam-6065	12	6	.	.	PUNCT
ejpam-6065	13	1	∗corresponding	∗corresponde	VERB
ejpam-6065	13	2	author	author	NOUN
ejpam-6065	13	3	.	.	PUNCT
ejpam-6065	14	1	doi	doi	NOUN
ejpam-6065	14	2	:	:	PUNCT
ejpam-6065	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6065	https://doi.org/10.29020/nybg.ejpam.v18i2.6065	PROPN
ejpam-6065	14	4	email	email	NOUN
ejpam-6065	14	5	addresses	address	VERB
ejpam-6065	14	6	:	:	PUNCT
ejpam-6065	14	7	cris.armada@hcmut.edu.vn	cris.armada@hcmut.edu.vn	X
ejpam-6065	14	8	(	(	PUNCT
ejpam-6065	14	9	c.	c.	PROPN
ejpam-6065	14	10	l.	l.	PROPN
ejpam-6065	14	11	armada	armada	PROPN
ejpam-6065	14	12	)	)	PUNCT
ejpam-6065	14	13	,	,	PUNCT
ejpam-6065	14	14	kiunisalae@cnu.edu.ph	kiunisalae@cnu.edu.ph	PROPN
ejpam-6065	14	15	(	(	PUNCT
ejpam-6065	14	16	e.	e.	PROPN
ejpam-6065	14	17	m.	m.	PROPN
ejpam-6065	14	18	kiunisala	kiunisala	PROPN
ejpam-6065	14	19	)	)	PUNCT
ejpam-6065	14	20	,	,	PUNCT
ejpam-6065	14	21	roseroc@cnu.edu.ph	roseroc@cnu.edu.ph	PROPN
ejpam-6065	14	22	(	(	PUNCT
ejpam-6065	14	23	c.	c.	PROPN
ejpam-6065	14	24	j.	j.	PROPN
ejpam-6065	14	25	s.	s.	PROPN
ejpam-6065	14	26	rosero	rosero	PROPN
ejpam-6065	14	27	)	)	PUNCT
ejpam-6065	14	28	,	,	PUNCT
ejpam-6065	14	29	malusayj@cnu.edu.ph	malusayj@cnu.edu.ph	PROPN
ejpam-6065	14	30	(	(	PUNCT
ejpam-6065	14	31	j.	j.	PROPN
ejpam-6065	14	32	t.	t.	PROPN
ejpam-6065	14	33	malusay	malusay	PROPN
ejpam-6065	14	34	)	)	PUNCT
ejpam-6065	14	35	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6065	14	36	1	1	NUM
ejpam-6065	14	37	copyright	copyright	NOUN
ejpam-6065	14	38	:	:	PUNCT
ejpam-6065	15	1	©	©	PROPN
ejpam-6065	15	2	2025	2025	NUM
ejpam-6065	15	3	the	the	DET
ejpam-6065	15	4	author(s	author(s	NOUN
ejpam-6065	15	5	)	)	PUNCT
ejpam-6065	15	6	.	.	PUNCT
ejpam-6065	16	1	(	(	PUNCT
ejpam-6065	16	2	cc	cc	NOUN
ejpam-6065	16	3	by	by	ADP
ejpam-6065	16	4	-	-	PUNCT
ejpam-6065	16	5	nc	nc	PROPN
ejpam-6065	16	6	4.0	4.0	NUM
ejpam-6065	16	7	)	)	PUNCT
ejpam-6065	16	8	c.	c.	PROPN
ejpam-6065	16	9	l.	l.	PROPN
ejpam-6065	16	10	armada	armada	PROPN
ejpam-6065	16	11	et	et	PROPN
ejpam-6065	16	12	al	al	PROPN
ejpam-6065	16	13	.	.	PUNCT
ejpam-6065	16	14	/	/	SYM
ejpam-6065	16	15	eur	eur	PROPN
ejpam-6065	16	16	.	.	PUNCT
ejpam-6065	17	1	j.	j.	PROPN
ejpam-6065	17	2	pure	pure	PROPN
ejpam-6065	17	3	appl	appl	PROPN
ejpam-6065	17	4	.	.	PROPN
ejpam-6065	17	5	math	math	PROPN
ejpam-6065	17	6	,	,	PUNCT
ejpam-6065	17	7	18	18	NUM
ejpam-6065	17	8	(	(	PUNCT
ejpam-6065	17	9	2	2	NUM
ejpam-6065	17	10	)	)	PUNCT
ejpam-6065	17	11	(	(	PUNCT
ejpam-6065	17	12	2025	2025	NUM
ejpam-6065	17	13	)	)	PUNCT
ejpam-6065	17	14	,	,	PUNCT
ejpam-6065	17	15	6065	6065	NUM
ejpam-6065	17	16	2	2	NUM
ejpam-6065	17	17	of	of	ADP
ejpam-6065	17	18	14	14	NUM
ejpam-6065	17	19	the	the	DET
ejpam-6065	17	20	domination	domination	NOUN
ejpam-6065	17	21	number	number	NOUN
ejpam-6065	17	22	of	of	ADP
ejpam-6065	17	23	g	g	NOUN
ejpam-6065	17	24	,	,	PUNCT
ejpam-6065	17	25	denoted	denote	VERB
ejpam-6065	17	26	by	by	ADP
ejpam-6065	17	27	γ(g	γ(g	PROPN
ejpam-6065	17	28	)	)	PUNCT
ejpam-6065	17	29	,	,	PUNCT
ejpam-6065	17	30	is	be	AUX
ejpam-6065	17	31	the	the	DET
ejpam-6065	17	32	minimum	minimum	ADJ
ejpam-6065	17	33	cardinality	cardinality	NOUN
ejpam-6065	17	34	among	among	ADP
ejpam-6065	17	35	all	all	DET
ejpam-6065	17	36	dominating	dominating	NOUN
ejpam-6065	17	37	sets	set	NOUN
ejpam-6065	17	38	of	of	ADP
ejpam-6065	17	39	g.	g.	PROPN
ejpam-6065	17	40	a	a	DET
ejpam-6065	17	41	γ	γ	X
ejpam-6065	17	42	-	-	PUNCT
ejpam-6065	17	43	set	set	VERB
ejpam-6065	17	44	t	t	NOUN
ejpam-6065	17	45	of	of	ADP
ejpam-6065	17	46	g	g	PROPN
ejpam-6065	17	47	is	be	AUX
ejpam-6065	17	48	a	a	DET
ejpam-6065	17	49	dominating	dominating	NOUN
ejpam-6065	17	50	set	set	NOUN
ejpam-6065	17	51	of	of	ADP
ejpam-6065	17	52	g	g	PROPN
ejpam-6065	17	53	with	with	ADP
ejpam-6065	17	54	|t	|t	PROPN
ejpam-6065	18	1	|	|	PROPN
ejpam-6065	18	2	=	=	SYM
ejpam-6065	18	3	γ(g	γ(g	PROPN
ejpam-6065	18	4	)	)	PUNCT
ejpam-6065	18	5	.	.	PUNCT
ejpam-6065	19	1	a	a	DET
ejpam-6065	19	2	graph	graph	NOUN
ejpam-6065	19	3	is	be	AUX
ejpam-6065	19	4	complete	complete	ADJ
ejpam-6065	19	5	if	if	SCONJ
ejpam-6065	19	6	every	every	DET
ejpam-6065	19	7	two	two	NUM
ejpam-6065	19	8	of	of	ADP
ejpam-6065	19	9	its	its	PRON
ejpam-6065	19	10	vertices	vertex	NOUN
ejpam-6065	19	11	are	be	AUX
ejpam-6065	19	12	adjacent	adjacent	ADJ
ejpam-6065	19	13	.	.	PUNCT
ejpam-6065	20	1	let	let	VERB
ejpam-6065	20	2	g	g	PRON
ejpam-6065	20	3	be	be	AUX
ejpam-6065	20	4	a	a	DET
ejpam-6065	20	5	nontrivial	nontrivial	ADJ
ejpam-6065	20	6	connected	connect	VERB
ejpam-6065	20	7	graph	graph	NOUN
ejpam-6065	20	8	.	.	PUNCT
ejpam-6065	21	1	a	a	DET
ejpam-6065	21	2	dominating	dominating	NOUN
ejpam-6065	21	3	set	set	NOUN
ejpam-6065	21	4	c	c	PROPN
ejpam-6065	21	5	of	of	ADP
ejpam-6065	21	6	v	v	PROPN
ejpam-6065	21	7	(	(	PUNCT
ejpam-6065	21	8	g	g	NOUN
ejpam-6065	21	9	)	)	PUNCT
ejpam-6065	21	10	is	be	AUX
ejpam-6065	21	11	a	a	DET
ejpam-6065	21	12	clique	clique	NOUN
ejpam-6065	21	13	dominating	dominating	NOUN
ejpam-6065	21	14	set	set	NOUN
ejpam-6065	21	15	of	of	ADP
ejpam-6065	21	16	g	g	PROPN
ejpam-6065	21	17	if	if	SCONJ
ejpam-6065	21	18	the	the	DET
ejpam-6065	21	19	induced	induced	ADJ
ejpam-6065	21	20	subgraph	subgraph	NOUN
ejpam-6065	21	21	⟨c⟩	⟨c⟩	PROPN
ejpam-6065	21	22	of	of	ADP
ejpam-6065	21	23	c	c	PROPN
ejpam-6065	21	24	is	be	AUX
ejpam-6065	21	25	complete	complete	ADJ
ejpam-6065	21	26	.	.	PUNCT
ejpam-6065	22	1	the	the	DET
ejpam-6065	22	2	minimum	minimum	ADJ
ejpam-6065	22	3	cardinality	cardinality	NOUN
ejpam-6065	22	4	of	of	ADP
ejpam-6065	22	5	a	a	DET
ejpam-6065	22	6	clique	clique	NOUN
ejpam-6065	22	7	dominating	dominating	NOUN
ejpam-6065	22	8	set	set	NOUN
ejpam-6065	22	9	of	of	ADP
ejpam-6065	22	10	g	g	NOUN
ejpam-6065	22	11	,	,	PUNCT
ejpam-6065	22	12	denoted	denote	VERB
ejpam-6065	22	13	by	by	ADP
ejpam-6065	22	14	γcl(g),is	γcl(g),is	PROPN
ejpam-6065	22	15	called	call	VERB
ejpam-6065	22	16	the	the	DET
ejpam-6065	22	17	clique	clique	NOUN
ejpam-6065	22	18	domination	domination	NOUN
ejpam-6065	22	19	number	number	NOUN
ejpam-6065	22	20	of	of	ADP
ejpam-6065	22	21	g.	g.	PROPN
ejpam-6065	22	22	a	a	DET
ejpam-6065	22	23	γcl	γcl	PROPN
ejpam-6065	22	24	-	-	PUNCT
ejpam-6065	22	25	set	set	VERB
ejpam-6065	22	26	c	c	NOUN
ejpam-6065	22	27	of	of	ADP
ejpam-6065	22	28	g	g	PROPN
ejpam-6065	22	29	is	be	AUX
ejpam-6065	22	30	a	a	DET
ejpam-6065	22	31	clique	clique	NOUN
ejpam-6065	22	32	dominating	dominating	NOUN
ejpam-6065	22	33	set	set	NOUN
ejpam-6065	22	34	of	of	ADP
ejpam-6065	22	35	g	g	PROPN
ejpam-6065	22	36	with	with	ADP
ejpam-6065	22	37	|c|	|c|	PROPN
ejpam-6065	22	38	=	=	SYM
ejpam-6065	22	39	γcl(g	γcl(g	PROPN
ejpam-6065	22	40	)	)	PUNCT
ejpam-6065	22	41	.	.	PUNCT
ejpam-6065	23	1	graph	graph	NOUN
ejpam-6065	23	2	g	g	NOUN
ejpam-6065	23	3	is	be	AUX
ejpam-6065	23	4	considered	consider	VERB
ejpam-6065	23	5	a	a	DET
ejpam-6065	23	6	non−γcl−graph	non−γcl−graph	NOUN
ejpam-6065	23	7	if	if	SCONJ
ejpam-6065	23	8	it	it	PRON
ejpam-6065	23	9	does	do	AUX
ejpam-6065	23	10	not	not	PART
ejpam-6065	23	11	contain	contain	VERB
ejpam-6065	23	12	a	a	DET
ejpam-6065	23	13	clique	clique	NOUN
ejpam-6065	23	14	dominating	dominating	NOUN
ejpam-6065	23	15	set	set	NOUN
ejpam-6065	23	16	,	,	PUNCT
ejpam-6065	23	17	following	follow	VERB
ejpam-6065	23	18	a	a	DET
ejpam-6065	23	19	similar	similar	ADJ
ejpam-6065	23	20	definition	definition	NOUN
ejpam-6065	23	21	to	to	ADP
ejpam-6065	23	22	that	that	PRON
ejpam-6065	23	23	of	of	ADP
ejpam-6065	23	24	a	a	DET
ejpam-6065	23	25	non	non	ADJ
ejpam-6065	23	26	-	-	ADJ
ejpam-6065	23	27	γp0	γp0	NOUN
ejpam-6065	23	28	-	-	PUNCT
ejpam-6065	23	29	graph	graph	NOUN
ejpam-6065	23	30	as	as	ADP
ejpam-6065	23	31	in	in	ADP
ejpam-6065	23	32	[	[	X
ejpam-6065	23	33	1	1	NUM
ejpam-6065	23	34	]	]	PUNCT
ejpam-6065	23	35	.	.	PUNCT
ejpam-6065	24	1	let	let	VERB
ejpam-6065	24	2	c	c	PRON
ejpam-6065	24	3	be	be	AUX
ejpam-6065	24	4	a	a	DET
ejpam-6065	24	5	γcl	γcl	NOUN
ejpam-6065	24	6	-	-	PUNCT
ejpam-6065	24	7	set	set	NOUN
ejpam-6065	24	8	of	of	ADP
ejpam-6065	24	9	a	a	DET
ejpam-6065	24	10	graph	graph	NOUN
ejpam-6065	24	11	g.	g.	NOUN
ejpam-6065	24	12	a	a	DET
ejpam-6065	24	13	subset	subset	NOUN
ejpam-6065	24	14	l	l	NOUN
ejpam-6065	24	15	of	of	ADP
ejpam-6065	24	16	c	c	PROPN
ejpam-6065	24	17	is	be	AUX
ejpam-6065	24	18	said	say	VERB
ejpam-6065	24	19	to	to	PART
ejpam-6065	24	20	be	be	AUX
ejpam-6065	24	21	a	a	DET
ejpam-6065	24	22	forcing	forcing	NOUN
ejpam-6065	24	23	subset	subset	NOUN
ejpam-6065	24	24	for	for	ADP
ejpam-6065	24	25	c	c	PROPN
ejpam-6065	24	26	if	if	SCONJ
ejpam-6065	24	27	c	c	PROPN
ejpam-6065	24	28	is	be	AUX
ejpam-6065	24	29	the	the	DET
ejpam-6065	24	30	unique	unique	ADJ
ejpam-6065	24	31	γcl	γcl	NOUN
ejpam-6065	24	32	-	-	PUNCT
ejpam-6065	24	33	set	set	NOUN
ejpam-6065	24	34	containing	contain	VERB
ejpam-6065	24	35	l.	l.	NOUN
ejpam-6065	24	36	the	the	DET
ejpam-6065	24	37	forcing	force	VERB
ejpam-6065	24	38	clique	clique	NOUN
ejpam-6065	24	39	domination	domination	NOUN
ejpam-6065	24	40	number	number	NOUN
ejpam-6065	24	41	of	of	ADP
ejpam-6065	24	42	c	c	PROPN
ejpam-6065	24	43	is	be	AUX
ejpam-6065	24	44	given	give	VERB
ejpam-6065	24	45	by	by	ADP
ejpam-6065	24	46	fγcl(c	fγcl(c	NOUN
ejpam-6065	24	47	)	)	PUNCT
ejpam-6065	24	48	=	=	NOUN
ejpam-6065	24	49	min{|l|	min{|l|	NOUN
ejpam-6065	24	50	:	:	PUNCT
ejpam-6065	24	51	l	l	NOUN
ejpam-6065	24	52	is	be	AUX
ejpam-6065	24	53	a	a	DET
ejpam-6065	24	54	forcing	forcing	NOUN
ejpam-6065	24	55	subset	subset	NOUN
ejpam-6065	24	56	for	for	ADP
ejpam-6065	24	57	c	c	NOUN
ejpam-6065	24	58	}	}	PUNCT
ejpam-6065	24	59	.	.	PUNCT
ejpam-6065	25	1	the	the	DET
ejpam-6065	25	2	forcing	force	VERB
ejpam-6065	25	3	clique	clique	NOUN
ejpam-6065	25	4	domination	domination	NOUN
ejpam-6065	25	5	number	number	NOUN
ejpam-6065	25	6	of	of	ADP
ejpam-6065	25	7	g	g	PROPN
ejpam-6065	25	8	is	be	AUX
ejpam-6065	25	9	given	give	VERB
ejpam-6065	25	10	by	by	ADP
ejpam-6065	25	11	fγcl(g	fγcl(g	NOUN
ejpam-6065	25	12	)	)	PUNCT
ejpam-6065	25	13	=	=	SYM
ejpam-6065	25	14	min{fγcl(c	min{fγcl(c	PROPN
ejpam-6065	25	15	)	)	PUNCT
ejpam-6065	25	16	:	:	PUNCT
ejpam-6065	26	1	c	c	NOUN
ejpam-6065	26	2	is	be	AUX
ejpam-6065	26	3	a	a	DET
ejpam-6065	26	4	γcl	γcl	NOUN
ejpam-6065	26	5	-	-	PUNCT
ejpam-6065	26	6	set	set	NOUN
ejpam-6065	26	7	of	of	ADP
ejpam-6065	26	8	g	g	NOUN
ejpam-6065	26	9	}	}	PUNCT
ejpam-6065	26	10	the	the	DET
ejpam-6065	26	11	join	join	NOUN
ejpam-6065	26	12	of	of	ADP
ejpam-6065	26	13	two	two	NUM
ejpam-6065	26	14	graphs	graph	NOUN
ejpam-6065	26	15	g	g	NOUN
ejpam-6065	26	16	and	and	CCONJ
ejpam-6065	26	17	h	h	NOUN
ejpam-6065	26	18	,	,	PUNCT
ejpam-6065	26	19	denoted	denote	VERB
ejpam-6065	26	20	by	by	ADP
ejpam-6065	26	21	g+h	g+h	PROPN
ejpam-6065	26	22	,	,	PUNCT
ejpam-6065	26	23	is	be	AUX
ejpam-6065	26	24	the	the	DET
ejpam-6065	26	25	graph	graph	NOUN
ejpam-6065	26	26	with	with	ADP
ejpam-6065	26	27	vertex	vertex	NOUN
ejpam-6065	26	28	set	set	VERB
ejpam-6065	26	29	v	v	NOUN
ejpam-6065	26	30	(	(	PUNCT
ejpam-6065	26	31	g+h	g+h	NOUN
ejpam-6065	26	32	)	)	PUNCT
ejpam-6065	26	33	=	=	SYM
ejpam-6065	26	34	v	v	X
ejpam-6065	26	35	(	(	PUNCT
ejpam-6065	26	36	g	g	NOUN
ejpam-6065	26	37	)	)	PUNCT
ejpam-6065	26	38	∪	∪	NOUN
ejpam-6065	26	39	v	v	NOUN
ejpam-6065	26	40	(	(	PUNCT
ejpam-6065	26	41	h	h	NOUN
ejpam-6065	26	42	)	)	PUNCT
ejpam-6065	26	43	and	and	CCONJ
ejpam-6065	26	44	edge	edge	NOUN
ejpam-6065	26	45	set	set	VERB
ejpam-6065	26	46	e(g+h	e(g+h	NUM
ejpam-6065	26	47	)	)	PUNCT
ejpam-6065	26	48	=	=	SYM
ejpam-6065	26	49	e(g	e(g	NOUN
ejpam-6065	26	50	)	)	PUNCT
ejpam-6065	26	51	∪	∪	ADP
ejpam-6065	26	52	e(h	e(h	PROPN
ejpam-6065	26	53	)	)	PUNCT
ejpam-6065	26	54	∪	∪	NOUN
ejpam-6065	26	55	{	{	PUNCT
ejpam-6065	26	56	uv	uv	NOUN
ejpam-6065	26	57	:	:	PUNCT
ejpam-6065	26	58	u	u	PROPN
ejpam-6065	26	59	∈	∈	PROPN
ejpam-6065	26	60	v	v	ADP
ejpam-6065	26	61	(	(	PUNCT
ejpam-6065	26	62	g	g	NOUN
ejpam-6065	26	63	)	)	PUNCT
ejpam-6065	26	64	,	,	PUNCT
ejpam-6065	26	65	v	v	X
ejpam-6065	26	66	∈	∈	PROPN
ejpam-6065	26	67	v	v	NOUN
ejpam-6065	26	68	(	(	PUNCT
ejpam-6065	26	69	h	h	NOUN
ejpam-6065	26	70	)	)	PUNCT
ejpam-6065	26	71	}	}	PUNCT
ejpam-6065	26	72	.	.	PUNCT
ejpam-6065	27	1	the	the	DET
ejpam-6065	27	2	corona	corona	NOUN
ejpam-6065	27	3	of	of	ADP
ejpam-6065	27	4	two	two	NUM
ejpam-6065	27	5	graphs	graph	NOUN
ejpam-6065	27	6	g	g	NOUN
ejpam-6065	27	7	and	and	CCONJ
ejpam-6065	27	8	h	h	NOUN
ejpam-6065	27	9	,	,	PUNCT
ejpam-6065	27	10	denoted	denote	VERB
ejpam-6065	27	11	by	by	ADP
ejpam-6065	27	12	g	g	PROPN
ejpam-6065	27	13	◦	◦	NOUN
ejpam-6065	27	14	h	h	NOUN
ejpam-6065	27	15	,	,	PUNCT
ejpam-6065	27	16	is	be	AUX
ejpam-6065	27	17	defined	define	VERB
ejpam-6065	27	18	to	to	PART
ejpam-6065	27	19	be	be	AUX
ejpam-6065	27	20	the	the	DET
ejpam-6065	27	21	graph	graph	NOUN
ejpam-6065	27	22	obtained	obtain	VERB
ejpam-6065	27	23	by	by	ADP
ejpam-6065	27	24	taking	take	VERB
ejpam-6065	27	25	one	one	NUM
ejpam-6065	27	26	copy	copy	NOUN
ejpam-6065	27	27	of	of	ADP
ejpam-6065	27	28	g	g	PROPN
ejpam-6065	27	29	and	and	CCONJ
ejpam-6065	27	30	|v	|v	PROPN
ejpam-6065	27	31	(	(	PUNCT
ejpam-6065	27	32	g)|	g)|	NOUN
ejpam-6065	27	33	copies	copy	NOUN
ejpam-6065	27	34	of	of	ADP
ejpam-6065	27	35	h	h	NOUN
ejpam-6065	27	36	and	and	CCONJ
ejpam-6065	27	37	then	then	ADV
ejpam-6065	27	38	forming	form	VERB
ejpam-6065	27	39	the	the	DET
ejpam-6065	27	40	joins	join	NOUN
ejpam-6065	27	41	⟨v⟩+hv	⟨v⟩+hv	PROPN
ejpam-6065	27	42	=	=	SYM
ejpam-6065	27	43	v+hv	v+hv	PROPN
ejpam-6065	27	44	for	for	ADP
ejpam-6065	27	45	each	each	DET
ejpam-6065	27	46	v	v	NUM
ejpam-6065	27	47	∈	∈	PROPN
ejpam-6065	27	48	v	v	NOUN
ejpam-6065	27	49	(	(	PUNCT
ejpam-6065	27	50	g	g	NOUN
ejpam-6065	27	51	)	)	PUNCT
ejpam-6065	27	52	,	,	PUNCT
ejpam-6065	27	53	where	where	SCONJ
ejpam-6065	27	54	hv	hv	PROPN
ejpam-6065	27	55	is	be	AUX
ejpam-6065	27	56	a	a	DET
ejpam-6065	27	57	copy	copy	NOUN
ejpam-6065	27	58	of	of	ADP
ejpam-6065	27	59	h	h	NOUN
ejpam-6065	27	60	correponding	correponde	VERB
ejpam-6065	27	61	to	to	ADP
ejpam-6065	27	62	vertex	vertex	NOUN
ejpam-6065	27	63	v.	v.	ADP
ejpam-6065	27	64	the	the	DET
ejpam-6065	27	65	lexicographic	lexicographic	ADJ
ejpam-6065	27	66	product	product	NOUN
ejpam-6065	27	67	or	or	CCONJ
ejpam-6065	27	68	composition	composition	NOUN
ejpam-6065	27	69	of	of	ADP
ejpam-6065	27	70	two	two	NUM
ejpam-6065	27	71	graphs	graph	NOUN
ejpam-6065	27	72	g	g	NOUN
ejpam-6065	27	73	and	and	CCONJ
ejpam-6065	27	74	h	h	NOUN
ejpam-6065	27	75	,	,	PUNCT
ejpam-6065	27	76	denoted	denote	VERB
ejpam-6065	27	77	by	by	ADP
ejpam-6065	27	78	g[h	g[h	NOUN
ejpam-6065	27	79	]	]	PUNCT
ejpam-6065	27	80	,	,	PUNCT
ejpam-6065	27	81	is	be	AUX
ejpam-6065	27	82	the	the	DET
ejpam-6065	27	83	graph	graph	NOUN
ejpam-6065	27	84	with	with	ADP
ejpam-6065	27	85	vertex	vertex	NOUN
ejpam-6065	27	86	set	set	VERB
ejpam-6065	27	87	v	v	NOUN
ejpam-6065	27	88	(	(	PUNCT
ejpam-6065	27	89	g[h	g[h	PROPN
ejpam-6065	27	90	]	]	PUNCT
ejpam-6065	27	91	)	)	PUNCT
ejpam-6065	27	92	=	=	SYM
ejpam-6065	27	93	v	v	X
ejpam-6065	27	94	(	(	PUNCT
ejpam-6065	27	95	g	g	NOUN
ejpam-6065	27	96	)	)	PUNCT
ejpam-6065	27	97	×	×	NOUN
ejpam-6065	27	98	v	v	NOUN
ejpam-6065	27	99	(	(	PUNCT
ejpam-6065	27	100	h	h	NOUN
ejpam-6065	27	101	)	)	PUNCT
ejpam-6065	27	102	and	and	CCONJ
ejpam-6065	27	103	edge	edge	VERB
ejpam-6065	27	104	set	set	VERB
ejpam-6065	27	105	e(g[h	e(g[h	NOUN
ejpam-6065	27	106	]	]	PUNCT
ejpam-6065	27	107	)	)	PUNCT
ejpam-6065	27	108	satisfying	satisfy	VERB
ejpam-6065	27	109	the	the	DET
ejpam-6065	27	110	following	follow	VERB
ejpam-6065	27	111	conditions	condition	NOUN
ejpam-6065	27	112	:	:	PUNCT
ejpam-6065	27	113	(	(	PUNCT
ejpam-6065	27	114	x	x	X
ejpam-6065	27	115	,	,	PUNCT
ejpam-6065	27	116	u)(y	u)(y	PROPN
ejpam-6065	27	117	,	,	PUNCT
ejpam-6065	27	118	v	v	NOUN
ejpam-6065	27	119	)	)	PUNCT
ejpam-6065	27	120	∈	∈	NOUN
ejpam-6065	27	121	e(g[h	e(g[h	NOUN
ejpam-6065	27	122	]	]	PUNCT
ejpam-6065	27	123	)	)	PUNCT
ejpam-6065	28	1	if	if	SCONJ
ejpam-6065	28	2	and	and	CCONJ
ejpam-6065	28	3	only	only	ADV
ejpam-6065	28	4	if	if	SCONJ
ejpam-6065	28	5	either	either	CCONJ
ejpam-6065	28	6	xy	xy	PROPN
ejpam-6065	28	7	∈	∈	PROPN
ejpam-6065	28	8	e(g	e(g	PROPN
ejpam-6065	28	9	)	)	PUNCT
ejpam-6065	28	10	or	or	CCONJ
ejpam-6065	28	11	x	x	X
ejpam-6065	28	12	=	=	SYM
ejpam-6065	28	13	y	y	PROPN
ejpam-6065	28	14	and	and	CCONJ
ejpam-6065	28	15	uv	uv	PROPN
ejpam-6065	28	16	∈	∈	PROPN
ejpam-6065	28	17	e(h	e(h	PROPN
ejpam-6065	28	18	)	)	PUNCT
ejpam-6065	28	19	.	.	PUNCT
ejpam-6065	29	1	observe	observe	VERB
ejpam-6065	29	2	that	that	SCONJ
ejpam-6065	29	3	a	a	DET
ejpam-6065	29	4	subset	subset	NOUN
ejpam-6065	29	5	c	c	NOUN
ejpam-6065	29	6	of	of	ADP
ejpam-6065	29	7	v	v	PROPN
ejpam-6065	29	8	(	(	PUNCT
ejpam-6065	29	9	g[h	g[h	PROPN
ejpam-6065	29	10	]	]	PUNCT
ejpam-6065	29	11	)	)	PUNCT
ejpam-6065	29	12	=	=	SYM
ejpam-6065	29	13	v	v	X
ejpam-6065	29	14	(	(	PUNCT
ejpam-6065	29	15	g)×	g)×	NOUN
ejpam-6065	29	16	v	v	NOUN
ejpam-6065	29	17	(	(	PUNCT
ejpam-6065	29	18	h	h	NOUN
ejpam-6065	29	19	)	)	PUNCT
ejpam-6065	29	20	can	can	AUX
ejpam-6065	29	21	be	be	AUX
ejpam-6065	29	22	written	write	VERB
ejpam-6065	29	23	as	as	ADP
ejpam-6065	29	24	c	c	NOUN
ejpam-6065	29	25	=	=	PUNCT
ejpam-6065	29	26	⋃	⋃	PROPN
ejpam-6065	29	27	x∈s	x∈s	NOUN
ejpam-6065	30	1	[	[	X
ejpam-6065	30	2	{	{	PUNCT
ejpam-6065	30	3	x	x	NOUN
ejpam-6065	30	4	}	}	PUNCT
ejpam-6065	30	5	×	×	PROPN
ejpam-6065	30	6	tx	tx	PROPN
ejpam-6065	30	7	]	]	X
ejpam-6065	30	8	,	,	PUNCT
ejpam-6065	30	9	where	where	SCONJ
ejpam-6065	30	10	s	s	VERB
ejpam-6065	30	11	⊆	⊆	NUM
ejpam-6065	30	12	v	v	NOUN
ejpam-6065	30	13	(	(	PUNCT
ejpam-6065	30	14	g	g	NOUN
ejpam-6065	30	15	)	)	PUNCT
ejpam-6065	30	16	and	and	CCONJ
ejpam-6065	30	17	tx	tx	VERB
ejpam-6065	30	18	⊆	⊆	NUM
ejpam-6065	30	19	v	v	NOUN
ejpam-6065	30	20	(	(	PUNCT
ejpam-6065	30	21	h	h	NOUN
ejpam-6065	30	22	)	)	PUNCT
ejpam-6065	30	23	for	for	ADP
ejpam-6065	30	24	each	each	DET
ejpam-6065	30	25	x	x	SYM
ejpam-6065	30	26	∈	∈	PROPN
ejpam-6065	30	27	s.	s.	PROPN
ejpam-6065	30	28	we	we	PRON
ejpam-6065	30	29	shall	shall	AUX
ejpam-6065	30	30	use	use	VERB
ejpam-6065	30	31	this	this	DET
ejpam-6065	30	32	form	form	NOUN
ejpam-6065	30	33	to	to	PART
ejpam-6065	30	34	denote	denote	VERB
ejpam-6065	30	35	any	any	DET
ejpam-6065	30	36	subset	subset	NOUN
ejpam-6065	30	37	c	c	NOUN
ejpam-6065	30	38	of	of	ADP
ejpam-6065	30	39	v	v	PROPN
ejpam-6065	30	40	(	(	PUNCT
ejpam-6065	30	41	g[h	g[h	PROPN
ejpam-6065	30	42	]	]	PUNCT
ejpam-6065	30	43	)	)	PUNCT
ejpam-6065	30	44	.	.	PUNCT
ejpam-6065	31	1	the	the	DET
ejpam-6065	31	2	clique	clique	PROPN
ejpam-6065	31	3	domination	domination	NOUN
ejpam-6065	31	4	was	be	AUX
ejpam-6065	31	5	investigated	investigate	VERB
ejpam-6065	31	6	in	in	ADP
ejpam-6065	31	7	[	[	X
ejpam-6065	31	8	2	2	NUM
ejpam-6065	31	9	]	]	PUNCT
ejpam-6065	31	10	and	and	CCONJ
ejpam-6065	31	11	[	[	X
ejpam-6065	31	12	3	3	NUM
ejpam-6065	31	13	]	]	PUNCT
ejpam-6065	31	14	.	.	PUNCT
ejpam-6065	32	1	the	the	DET
ejpam-6065	32	2	concept	concept	NOUN
ejpam-6065	32	3	of	of	ADP
ejpam-6065	32	4	forcing	force	VERB
ejpam-6065	32	5	domination	domination	NOUN
ejpam-6065	32	6	was	be	AUX
ejpam-6065	32	7	first	first	ADV
ejpam-6065	32	8	studied	study	VERB
ejpam-6065	32	9	by	by	ADP
ejpam-6065	32	10	chartrand	chartrand	PROPN
ejpam-6065	32	11	,	,	PUNCT
ejpam-6065	32	12	et	et	PROPN
ejpam-6065	32	13	al	al	PROPN
ejpam-6065	32	14	.	.	PUNCT
ejpam-6065	33	1	in	in	ADP
ejpam-6065	33	2	[	[	X
ejpam-6065	33	3	4	4	NUM
ejpam-6065	33	4	]	]	PUNCT
ejpam-6065	33	5	.	.	PUNCT
ejpam-6065	34	1	closed	close	VERB
ejpam-6065	34	2	neighborhood	neighborhood	NOUN
ejpam-6065	34	3	,	,	PUNCT
ejpam-6065	34	4	domination	domination	NOUN
ejpam-6065	34	5	number	number	NOUN
ejpam-6065	34	6	,	,	PUNCT
ejpam-6065	34	7	forcing	force	VERB
ejpam-6065	34	8	domination	domination	NOUN
ejpam-6065	34	9	number	number	NOUN
ejpam-6065	34	10	,	,	PUNCT
ejpam-6065	34	11	the	the	DET
ejpam-6065	34	12	binary	binary	ADJ
ejpam-6065	34	13	operations	operation	NOUN
ejpam-6065	34	14	such	such	ADJ
ejpam-6065	34	15	as	as	ADP
ejpam-6065	34	16	join	join	NOUN
ejpam-6065	34	17	,	,	PUNCT
ejpam-6065	34	18	corona	corona	NOUN
ejpam-6065	34	19	and	and	CCONJ
ejpam-6065	34	20	lexicographic	lexicographic	ADJ
ejpam-6065	34	21	product	product	NOUN
ejpam-6065	34	22	of	of	ADP
ejpam-6065	34	23	graphs	graph	NOUN
ejpam-6065	34	24	,	,	PUNCT
ejpam-6065	34	25	and	and	CCONJ
ejpam-6065	34	26	other	other	ADJ
ejpam-6065	34	27	variations	variation	NOUN
ejpam-6065	34	28	of	of	ADP
ejpam-6065	34	29	forcing	force	VERB
ejpam-6065	34	30	domination	domination	NOUN
ejpam-6065	34	31	can	can	AUX
ejpam-6065	34	32	be	be	AUX
ejpam-6065	34	33	found	find	VERB
ejpam-6065	34	34	in	in	ADP
ejpam-6065	34	35	[	[	X
ejpam-6065	34	36	5],[6],[7],[8	5],[6],[7],[8	NOUN
ejpam-6065	34	37	]	]	PUNCT
ejpam-6065	34	38	and	and	CCONJ
ejpam-6065	34	39	[	[	X
ejpam-6065	34	40	9	9	NUM
ejpam-6065	34	41	]	]	PUNCT
ejpam-6065	34	42	.	.	PUNCT
ejpam-6065	35	1	additional	additional	ADJ
ejpam-6065	35	2	basic	basic	ADJ
ejpam-6065	35	3	graph	graph	NOUN
ejpam-6065	35	4	-	-	PUNCT
ejpam-6065	35	5	theoretic	theoretic	NOUN
ejpam-6065	35	6	terminology	terminology	NOUN
ejpam-6065	35	7	can	can	AUX
ejpam-6065	35	8	be	be	AUX
ejpam-6065	35	9	found	find	VERB
ejpam-6065	35	10	in	in	ADP
ejpam-6065	35	11	[	[	X
ejpam-6065	35	12	10	10	NUM
ejpam-6065	35	13	]	]	PUNCT
ejpam-6065	35	14	.	.	PUNCT
ejpam-6065	36	1	the	the	DET
ejpam-6065	36	2	forcing	force	VERB
ejpam-6065	36	3	clique	clique	NOUN
ejpam-6065	36	4	domination	domination	NOUN
ejpam-6065	36	5	number	number	NOUN
ejpam-6065	36	6	is	be	AUX
ejpam-6065	36	7	important	important	ADJ
ejpam-6065	36	8	when	when	SCONJ
ejpam-6065	36	9	it	it	PRON
ejpam-6065	36	10	comes	come	VERB
ejpam-6065	36	11	to	to	ADP
ejpam-6065	36	12	fault	fault	NOUN
ejpam-6065	36	13	-	-	PUNCT
ejpam-6065	36	14	tolerant	tolerant	ADJ
ejpam-6065	36	15	sensor	sensor	NOUN
ejpam-6065	36	16	network	network	NOUN
ejpam-6065	36	17	optimization	optimization	NOUN
ejpam-6065	36	18	in	in	ADP
ejpam-6065	36	19	smart	smart	ADJ
ejpam-6065	36	20	cities	city	NOUN
ejpam-6065	36	21	.	.	PUNCT
ejpam-6065	37	1	sensors	sensor	NOUN
ejpam-6065	37	2	are	be	AUX
ejpam-6065	37	3	placed	place	VERB
ejpam-6065	37	4	in	in	ADP
ejpam-6065	37	5	these	these	DET
ejpam-6065	37	6	networks	network	NOUN
ejpam-6065	37	7	to	to	PART
ejpam-6065	37	8	monitor	monitor	VERB
ejpam-6065	37	9	infrastructure	infrastructure	NOUN
ejpam-6065	37	10	,	,	PUNCT
ejpam-6065	37	11	health	health	NOUN
ejpam-6065	37	12	,	,	PUNCT
ejpam-6065	37	13	traffic	traffic	NOUN
ejpam-6065	37	14	,	,	PUNCT
ejpam-6065	37	15	and	and	CCONJ
ejpam-6065	37	16	air	air	NOUN
ejpam-6065	37	17	quality	quality	NOUN
ejpam-6065	37	18	.	.	PUNCT
ejpam-6065	38	1	certain	certain	ADJ
ejpam-6065	38	2	sensor	sensor	NOUN
ejpam-6065	38	3	groups	group	NOUN
ejpam-6065	38	4	naturally	naturally	ADV
ejpam-6065	38	5	form	form	VERB
ejpam-6065	38	6	cliques	clique	NOUN
ejpam-6065	38	7	,	,	PUNCT
ejpam-6065	38	8	c.	c.	PROPN
ejpam-6065	38	9	l.	l.	PROPN
ejpam-6065	38	10	armada	armada	PROPN
ejpam-6065	38	11	et	et	PROPN
ejpam-6065	38	12	al	al	PROPN
ejpam-6065	38	13	.	.	PUNCT
ejpam-6065	38	14	/	/	SYM
ejpam-6065	38	15	eur	eur	PROPN
ejpam-6065	38	16	.	.	PUNCT
ejpam-6065	39	1	j.	j.	PROPN
ejpam-6065	39	2	pure	pure	PROPN
ejpam-6065	39	3	appl	appl	PROPN
ejpam-6065	39	4	.	.	PROPN
ejpam-6065	39	5	math	math	PROPN
ejpam-6065	39	6	,	,	PUNCT
ejpam-6065	39	7	18	18	NUM
ejpam-6065	39	8	(	(	PUNCT
ejpam-6065	39	9	2	2	NUM
ejpam-6065	39	10	)	)	PUNCT
ejpam-6065	39	11	(	(	PUNCT
ejpam-6065	39	12	2025	2025	NUM
ejpam-6065	39	13	)	)	PUNCT
ejpam-6065	39	14	,	,	PUNCT
ejpam-6065	39	15	6065	6065	NUM
ejpam-6065	39	16	3	3	NUM
ejpam-6065	39	17	of	of	ADP
ejpam-6065	39	18	14	14	NUM
ejpam-6065	39	19	which	which	PRON
ejpam-6065	39	20	are	be	AUX
ejpam-6065	39	21	fully	fully	ADV
ejpam-6065	39	22	connected	connect	VERB
ejpam-6065	39	23	subgraphs	subgraph	NOUN
ejpam-6065	39	24	that	that	PRON
ejpam-6065	39	25	guarantee	guarantee	VERB
ejpam-6065	39	26	effective	effective	ADJ
ejpam-6065	39	27	data	datum	NOUN
ejpam-6065	39	28	sharing	sharing	NOUN
ejpam-6065	39	29	.	.	PUNCT
ejpam-6065	40	1	these	these	DET
ejpam-6065	40	2	sensors	sensor	NOUN
ejpam-6065	40	3	create	create	VERB
ejpam-6065	40	4	graphs	graph	NOUN
ejpam-6065	40	5	with	with	ADP
ejpam-6065	40	6	edges	edge	NOUN
ejpam-6065	40	7	that	that	PRON
ejpam-6065	40	8	indicate	indicate	VERB
ejpam-6065	40	9	direct	direct	ADJ
ejpam-6065	40	10	communication	communication	NOUN
ejpam-6065	40	11	links	link	NOUN
ejpam-6065	40	12	.	.	PUNCT
ejpam-6065	41	1	to	to	PART
ejpam-6065	41	2	guarantee	guarantee	VERB
ejpam-6065	41	3	smooth	smooth	ADJ
ejpam-6065	41	4	network	network	NOUN
ejpam-6065	41	5	coverage	coverage	NOUN
ejpam-6065	41	6	,	,	PUNCT
ejpam-6065	41	7	a	a	DET
ejpam-6065	41	8	clique	clique	NOUN
ejpam-6065	41	9	dominating	dominating	NOUN
ejpam-6065	41	10	set	set	NOUN
ejpam-6065	41	11	ensures	ensure	VERB
ejpam-6065	41	12	that	that	SCONJ
ejpam-6065	41	13	each	each	DET
ejpam-6065	41	14	sensor	sensor	NOUN
ejpam-6065	41	15	is	be	AUX
ejpam-6065	41	16	either	either	CCONJ
ejpam-6065	41	17	inside	inside	ADP
ejpam-6065	41	18	a	a	DET
ejpam-6065	41	19	clique	clique	NOUN
ejpam-6065	41	20	or	or	CCONJ
ejpam-6065	41	21	directly	directly	ADV
ejpam-6065	41	22	connected	connect	VERB
ejpam-6065	41	23	to	to	ADP
ejpam-6065	41	24	one	one	NUM
ejpam-6065	41	25	[	[	X
ejpam-6065	41	26	11	11	NUM
ejpam-6065	41	27	]	]	PUNCT
ejpam-6065	41	28	.	.	PUNCT
ejpam-6065	42	1	this	this	DET
ejpam-6065	42	2	structure	structure	NOUN
ejpam-6065	42	3	is	be	AUX
ejpam-6065	42	4	improved	improve	VERB
ejpam-6065	42	5	by	by	ADP
ejpam-6065	42	6	the	the	DET
ejpam-6065	42	7	forcing	force	VERB
ejpam-6065	42	8	property	property	NOUN
ejpam-6065	42	9	,	,	PUNCT
ejpam-6065	42	10	which	which	PRON
ejpam-6065	42	11	ensures	ensure	VERB
ejpam-6065	42	12	that	that	SCONJ
ejpam-6065	42	13	the	the	DET
ejpam-6065	42	14	activation	activation	NOUN
ejpam-6065	42	15	of	of	ADP
ejpam-6065	42	16	a	a	DET
ejpam-6065	42	17	small	small	ADJ
ejpam-6065	42	18	number	number	NOUN
ejpam-6065	42	19	of	of	ADP
ejpam-6065	42	20	important	important	ADJ
ejpam-6065	42	21	sensors	sensor	NOUN
ejpam-6065	42	22	triggers	trigger	VERB
ejpam-6065	42	23	the	the	DET
ejpam-6065	42	24	activation	activation	NOUN
ejpam-6065	42	25	of	of	ADP
ejpam-6065	42	26	others	other	NOUN
ejpam-6065	42	27	,	,	PUNCT
ejpam-6065	42	28	reducing	reduce	VERB
ejpam-6065	42	29	redundancy	redundancy	NOUN
ejpam-6065	42	30	and	and	CCONJ
ejpam-6065	42	31	increasing	increase	VERB
ejpam-6065	42	32	data	data	NOUN
ejpam-6065	42	33	collection	collection	NOUN
ejpam-6065	42	34	and	and	CCONJ
ejpam-6065	42	35	transmission	transmission	NOUN
ejpam-6065	42	36	efficiency	efficiency	NOUN
ejpam-6065	42	37	[	[	X
ejpam-6065	42	38	12	12	NUM
ejpam-6065	42	39	]	]	PUNCT
ejpam-6065	42	40	.	.	PUNCT
ejpam-6065	43	1	this	this	PRON
ejpam-6065	43	2	ensures	ensure	VERB
ejpam-6065	43	3	that	that	SCONJ
ejpam-6065	43	4	the	the	DET
ejpam-6065	43	5	network	network	NOUN
ejpam-6065	43	6	continues	continue	VERB
ejpam-6065	43	7	to	to	PART
ejpam-6065	43	8	operate	operate	VERB
ejpam-6065	43	9	with	with	ADP
ejpam-6065	43	10	low	low	ADJ
ejpam-6065	43	11	resource	resource	NOUN
ejpam-6065	43	12	consumption	consumption	NOUN
ejpam-6065	43	13	even	even	ADV
ejpam-6065	43	14	in	in	ADP
ejpam-6065	43	15	the	the	DET
ejpam-6065	43	16	event	event	NOUN
ejpam-6065	43	17	that	that	SCONJ
ejpam-6065	43	18	certain	certain	ADJ
ejpam-6065	43	19	sensors	sensor	NOUN
ejpam-6065	43	20	fail	fail	VERB
ejpam-6065	43	21	[	[	X
ejpam-6065	43	22	13	13	NUM
ejpam-6065	43	23	]	]	PUNCT
ejpam-6065	43	24	.	.	PUNCT
ejpam-6065	44	1	in	in	ADP
ejpam-6065	44	2	addition	addition	NOUN
ejpam-6065	44	3	to	to	ADP
ejpam-6065	44	4	energy	energy	NOUN
ejpam-6065	44	5	efficiency	efficiency	NOUN
ejpam-6065	44	6	,	,	PUNCT
ejpam-6065	44	7	the	the	DET
ejpam-6065	44	8	forcing	force	VERB
ejpam-6065	44	9	clique	clique	NOUN
ejpam-6065	44	10	domination	domination	NOUN
ejpam-6065	44	11	number	number	NOUN
ejpam-6065	44	12	improves	improve	VERB
ejpam-6065	44	13	fault	fault	NOUN
ejpam-6065	44	14	tolerance	tolerance	NOUN
ejpam-6065	44	15	and	and	CCONJ
ejpam-6065	44	16	sensor	sensor	NOUN
ejpam-6065	44	17	network	network	NOUN
ejpam-6065	44	18	resilience	resilience	NOUN
ejpam-6065	44	19	.	.	PUNCT
ejpam-6065	45	1	the	the	DET
ejpam-6065	45	2	system	system	NOUN
ejpam-6065	45	3	can	can	AUX
ejpam-6065	45	4	tolerate	tolerate	VERB
ejpam-6065	45	5	failures	failure	NOUN
ejpam-6065	45	6	and	and	CCONJ
ejpam-6065	45	7	continue	continue	VERB
ejpam-6065	45	8	to	to	PART
ejpam-6065	45	9	function	function	VERB
ejpam-6065	45	10	by	by	ADP
ejpam-6065	45	11	carefully	carefully	ADV
ejpam-6065	45	12	choosing	choose	VERB
ejpam-6065	45	13	a	a	DET
ejpam-6065	45	14	minimum	minimum	ADJ
ejpam-6065	45	15	clique	clique	NOUN
ejpam-6065	45	16	dominating	dominating	NOUN
ejpam-6065	45	17	set	set	NOUN
ejpam-6065	45	18	.	.	PUNCT
ejpam-6065	46	1	this	this	PRON
ejpam-6065	46	2	is	be	AUX
ejpam-6065	46	3	particularly	particularly	ADV
ejpam-6065	46	4	helpful	helpful	ADJ
ejpam-6065	46	5	in	in	ADP
ejpam-6065	46	6	fields	field	NOUN
ejpam-6065	46	7	where	where	SCONJ
ejpam-6065	46	8	dependability	dependability	NOUN
ejpam-6065	46	9	is	be	AUX
ejpam-6065	46	10	essential	essential	ADJ
ejpam-6065	46	11	,	,	PUNCT
ejpam-6065	46	12	such	such	ADJ
ejpam-6065	46	13	as	as	ADP
ejpam-6065	46	14	emergency	emergency	NOUN
ejpam-6065	46	15	response	response	NOUN
ejpam-6065	46	16	systems	system	NOUN
ejpam-6065	46	17	,	,	PUNCT
ejpam-6065	46	18	military	military	ADJ
ejpam-6065	46	19	communication	communication	NOUN
ejpam-6065	46	20	,	,	PUNCT
ejpam-6065	46	21	and	and	CCONJ
ejpam-6065	46	22	disaster	disaster	NOUN
ejpam-6065	46	23	monitoring	monitoring	NOUN
ejpam-6065	46	24	[	[	X
ejpam-6065	46	25	14	14	NUM
ejpam-6065	46	26	]	]	PUNCT
ejpam-6065	46	27	.	.	PUNCT
ejpam-6065	47	1	example	example	NOUN
ejpam-6065	47	2	1.1	1.1	NUM
ejpam-6065	47	3	.	.	PUNCT
ejpam-6065	48	1	consider	consider	VERB
ejpam-6065	48	2	the	the	DET
ejpam-6065	48	3	graph	graph	NOUN
ejpam-6065	48	4	g	g	NOUN
ejpam-6065	48	5	in	in	ADP
ejpam-6065	48	6	figure	figure	NOUN
ejpam-6065	48	7	1	1	NUM
ejpam-6065	48	8	.	.	PUNCT
ejpam-6065	49	1	it	it	PRON
ejpam-6065	49	2	is	be	AUX
ejpam-6065	49	3	clear	clear	ADJ
ejpam-6065	49	4	to	to	PART
ejpam-6065	49	5	see	see	VERB
ejpam-6065	49	6	that	that	DET
ejpam-6065	49	7	r1	r1	NOUN
ejpam-6065	49	8	=	=	SYM
ejpam-6065	49	9	{	{	PUNCT
ejpam-6065	49	10	x	x	NOUN
ejpam-6065	49	11	,	,	PUNCT
ejpam-6065	49	12	u1	u1	NOUN
ejpam-6065	49	13	}	}	PUNCT
ejpam-6065	49	14	,	,	PUNCT
ejpam-6065	49	15	r2	r2	PROPN
ejpam-6065	49	16	=	=	PUNCT
ejpam-6065	49	17	{	{	PUNCT
ejpam-6065	49	18	x	x	NOUN
ejpam-6065	49	19	,	,	PUNCT
ejpam-6065	49	20	u2	u2	PROPN
ejpam-6065	49	21	}	}	PUNCT
ejpam-6065	49	22	,	,	PUNCT
ejpam-6065	49	23	r3	r3	PROPN
ejpam-6065	49	24	=	=	SYM
ejpam-6065	49	25	{	{	PUNCT
ejpam-6065	49	26	x	x	NOUN
ejpam-6065	49	27	,	,	PUNCT
ejpam-6065	49	28	u3	u3	PROPN
ejpam-6065	49	29	}	}	PUNCT
ejpam-6065	49	30	,	,	PUNCT
ejpam-6065	49	31	...	...	PUNCT
ejpam-6065	50	1	rm−1	rm−1	NOUN
ejpam-6065	50	2	=	=	PUNCT
ejpam-6065	50	3	{	{	PUNCT
ejpam-6065	50	4	x	x	NOUN
ejpam-6065	50	5	,	,	PUNCT
ejpam-6065	50	6	um−1	um−1	NOUN
ejpam-6065	50	7	}	}	PUNCT
ejpam-6065	50	8	,	,	PUNCT
ejpam-6065	50	9	and	and	CCONJ
ejpam-6065	50	10	rm	rm	NOUN
ejpam-6065	50	11	=	=	PUNCT
ejpam-6065	50	12	{	{	PUNCT
ejpam-6065	50	13	x	x	NOUN
ejpam-6065	50	14	,	,	PUNCT
ejpam-6065	50	15	um	um	INTJ
ejpam-6065	50	16	}	}	PUNCT
ejpam-6065	50	17	are	be	AUX
ejpam-6065	50	18	γcl	γcl	NOUN
ejpam-6065	50	19	-	-	PUNCT
ejpam-6065	50	20	sets	set	NOUN
ejpam-6065	50	21	of	of	ADP
ejpam-6065	50	22	g.	g.	PROPN
ejpam-6065	50	23	clearly	clearly	ADV
ejpam-6065	50	24	,	,	PUNCT
ejpam-6065	50	25	for	for	ADP
ejpam-6065	50	26	all	all	DET
ejpam-6065	50	27	i	i	PRON
ejpam-6065	50	28	=	=	NOUN
ejpam-6065	50	29	1	1	NUM
ejpam-6065	50	30	,	,	PUNCT
ejpam-6065	50	31	2	2	NUM
ejpam-6065	50	32	,	,	PUNCT
ejpam-6065	50	33	.	.	PUNCT
ejpam-6065	50	34	.	.	PUNCT
ejpam-6065	50	35	.	.	PUNCT
ejpam-6065	51	1	,	,	PUNCT
ejpam-6065	51	2	m	m	NOUN
ejpam-6065	51	3	,	,	PUNCT
ejpam-6065	51	4	ti	ti	X
ejpam-6065	51	5	=	=	SYM
ejpam-6065	51	6	{	{	PUNCT
ejpam-6065	51	7	ui	ui	NOUN
ejpam-6065	51	8	}	}	PUNCT
ejpam-6065	51	9	is	be	AUX
ejpam-6065	51	10	uniquely	uniquely	ADV
ejpam-6065	51	11	contained	contain	VERB
ejpam-6065	51	12	in	in	ADP
ejpam-6065	51	13	each	each	DET
ejpam-6065	51	14	γcl	γcl	PROPN
ejpam-6065	51	15	-	-	PUNCT
ejpam-6065	51	16	set	set	VERB
ejpam-6065	51	17	ri	ri	NOUN
ejpam-6065	51	18	of	of	ADP
ejpam-6065	51	19	g	g	PROPN
ejpam-6065	51	20	and	and	CCONJ
ejpam-6065	51	21	so	so	ADV
ejpam-6065	51	22	,	,	PUNCT
ejpam-6065	51	23	ti	ti	PROPN
ejpam-6065	51	24	is	be	AUX
ejpam-6065	51	25	a	a	DET
ejpam-6065	51	26	forcing	forcing	NOUN
ejpam-6065	51	27	subset	subset	NOUN
ejpam-6065	51	28	for	for	ADP
ejpam-6065	51	29	each	each	DET
ejpam-6065	51	30	ri	ri	NOUN
ejpam-6065	51	31	.	.	PUNCT
ejpam-6065	52	1	thus	thus	ADV
ejpam-6065	52	2	,	,	PUNCT
ejpam-6065	52	3	fγcl(g	fγcl(g	NOUN
ejpam-6065	52	4	)	)	PUNCT
ejpam-6065	52	5	=	=	SYM
ejpam-6065	53	1	|ti|	|ti|	NOUN
ejpam-6065	53	2	=	=	NOUN
ejpam-6065	53	3	1	1	X
ejpam-6065	53	4	.	.	X
ejpam-6065	53	5	figure	figure	NOUN
ejpam-6065	53	6	1	1	NUM
ejpam-6065	53	7	:	:	PUNCT
ejpam-6065	53	8	graph	graph	VERB
ejpam-6065	53	9	g	g	NOUN
ejpam-6065	53	10	with	with	ADP
ejpam-6065	53	11	fγcl(g	fγcl(g	NOUN
ejpam-6065	53	12	)	)	PUNCT
ejpam-6065	53	13	=	=	SYM
ejpam-6065	53	14	1	1	X
ejpam-6065	53	15	.	.	PUNCT
ejpam-6065	53	16	c.	c.	PROPN
ejpam-6065	53	17	l.	l.	PROPN
ejpam-6065	53	18	armada	armada	PROPN
ejpam-6065	53	19	et	et	PROPN
ejpam-6065	53	20	al	al	PROPN
ejpam-6065	53	21	.	.	PUNCT
ejpam-6065	53	22	/	/	SYM
ejpam-6065	53	23	eur	eur	PROPN
ejpam-6065	53	24	.	.	PUNCT
ejpam-6065	54	1	j.	j.	PROPN
ejpam-6065	54	2	pure	pure	PROPN
ejpam-6065	54	3	appl	appl	PROPN
ejpam-6065	54	4	.	.	PROPN
ejpam-6065	54	5	math	math	PROPN
ejpam-6065	54	6	,	,	PUNCT
ejpam-6065	54	7	18	18	NUM
ejpam-6065	54	8	(	(	PUNCT
ejpam-6065	54	9	2	2	NUM
ejpam-6065	54	10	)	)	PUNCT
ejpam-6065	54	11	(	(	PUNCT
ejpam-6065	54	12	2025	2025	NUM
ejpam-6065	54	13	)	)	PUNCT
ejpam-6065	54	14	,	,	PUNCT
ejpam-6065	54	15	6065	6065	NUM
ejpam-6065	54	16	4	4	NUM
ejpam-6065	54	17	of	of	ADP
ejpam-6065	54	18	14	14	NUM
ejpam-6065	54	19	example	example	NOUN
ejpam-6065	54	20	1.2	1.2	NUM
ejpam-6065	54	21	.	.	PUNCT
ejpam-6065	54	22	consider	consider	VERB
ejpam-6065	54	23	the	the	DET
ejpam-6065	54	24	graph	graph	NOUN
ejpam-6065	54	25	g[h	g[h	PROPN
ejpam-6065	54	26	]	]	PUNCT
ejpam-6065	54	27	in	in	ADP
ejpam-6065	54	28	figure	figure	NOUN
ejpam-6065	54	29	2	2	NUM
ejpam-6065	54	30	.	.	PUNCT
ejpam-6065	54	31	clearly	clearly	ADV
ejpam-6065	54	32	,	,	PUNCT
ejpam-6065	54	33	γcl(g	γcl(g	PROPN
ejpam-6065	54	34	)	)	PUNCT
ejpam-6065	54	35	=	=	SYM
ejpam-6065	55	1	3	3	X
ejpam-6065	55	2	.	.	PUNCT
ejpam-6065	55	3	by	by	ADP
ejpam-6065	55	4	corollary	corollary	ADJ
ejpam-6065	55	5	2.10	2.10	NUM
ejpam-6065	55	6	,	,	PUNCT
ejpam-6065	55	7	γcl(g[h	γcl(g[h	NUM
ejpam-6065	55	8	]	]	PUNCT
ejpam-6065	55	9	)	)	PUNCT
ejpam-6065	55	10	=	=	SYM
ejpam-6065	56	1	3	3	X
ejpam-6065	56	2	.	.	X
ejpam-6065	57	1	it	it	PRON
ejpam-6065	57	2	is	be	AUX
ejpam-6065	57	3	clear	clear	ADJ
ejpam-6065	57	4	to	to	PART
ejpam-6065	57	5	see	see	VERB
ejpam-6065	57	6	that	that	DET
ejpam-6065	57	7	s1	s1	NOUN
ejpam-6065	57	8	=	=	PUNCT
ejpam-6065	57	9	{	{	PUNCT
ejpam-6065	57	10	(	(	PUNCT
ejpam-6065	57	11	a	a	PRON
ejpam-6065	57	12	,	,	PUNCT
ejpam-6065	57	13	x	x	NOUN
ejpam-6065	57	14	)	)	PUNCT
ejpam-6065	57	15	,	,	PUNCT
ejpam-6065	57	16	(	(	PUNCT
ejpam-6065	57	17	b	b	X
ejpam-6065	57	18	,	,	PUNCT
ejpam-6065	57	19	x	x	NOUN
ejpam-6065	57	20	)	)	PUNCT
ejpam-6065	57	21	,	,	PUNCT
ejpam-6065	57	22	(	(	PUNCT
ejpam-6065	57	23	c	c	X
ejpam-6065	57	24	,	,	PUNCT
ejpam-6065	57	25	x	x	NOUN
ejpam-6065	57	26	)	)	PUNCT
ejpam-6065	57	27	}	}	PUNCT
ejpam-6065	57	28	,	,	PUNCT
ejpam-6065	57	29	s10	s10	NOUN
ejpam-6065	57	30	=	=	SYM
ejpam-6065	57	31	{	{	PUNCT
ejpam-6065	57	32	(	(	PUNCT
ejpam-6065	57	33	a	a	PROPN
ejpam-6065	57	34	,	,	PUNCT
ejpam-6065	57	35	y	y	PROPN
ejpam-6065	57	36	)	)	PUNCT
ejpam-6065	57	37	,	,	PUNCT
ejpam-6065	57	38	(	(	PUNCT
ejpam-6065	57	39	b	b	X
ejpam-6065	57	40	,	,	PUNCT
ejpam-6065	57	41	x	x	NOUN
ejpam-6065	57	42	)	)	PUNCT
ejpam-6065	57	43	,	,	PUNCT
ejpam-6065	57	44	(	(	PUNCT
ejpam-6065	57	45	c	c	X
ejpam-6065	57	46	,	,	PUNCT
ejpam-6065	57	47	x	x	NOUN
ejpam-6065	57	48	)	)	PUNCT
ejpam-6065	57	49	}	}	PUNCT
ejpam-6065	57	50	,	,	PUNCT
ejpam-6065	57	51	s19	s19	NOUN
ejpam-6065	57	52	=	=	SYM
ejpam-6065	57	53	{	{	PUNCT
ejpam-6065	57	54	(	(	PUNCT
ejpam-6065	57	55	a	a	PRON
ejpam-6065	57	56	,	,	PUNCT
ejpam-6065	57	57	z	z	NOUN
ejpam-6065	57	58	)	)	PUNCT
ejpam-6065	57	59	,	,	PUNCT
ejpam-6065	57	60	(	(	PUNCT
ejpam-6065	57	61	b	b	X
ejpam-6065	57	62	,	,	PUNCT
ejpam-6065	57	63	x	x	NOUN
ejpam-6065	57	64	)	)	PUNCT
ejpam-6065	57	65	,	,	PUNCT
ejpam-6065	57	66	(	(	PUNCT
ejpam-6065	57	67	c	c	X
ejpam-6065	57	68	,	,	PUNCT
ejpam-6065	57	69	x	x	NOUN
ejpam-6065	57	70	)	)	PUNCT
ejpam-6065	57	71	}	}	PUNCT
ejpam-6065	57	72	,	,	PUNCT
ejpam-6065	57	73	s2	s2	NOUN
ejpam-6065	57	74	=	=	SYM
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ejpam-6065	57	488	)	)	PUNCT
ejpam-6065	57	489	}	}	PUNCT
ejpam-6065	57	490	,	,	PUNCT
ejpam-6065	57	491	s17	s17	PROPN
ejpam-6065	57	492	=	=	SYM
ejpam-6065	57	493	{	{	PUNCT
ejpam-6065	57	494	(	(	PUNCT
ejpam-6065	57	495	a	a	PROPN
ejpam-6065	57	496	,	,	PUNCT
ejpam-6065	57	497	y	y	PROPN
ejpam-6065	57	498	)	)	PUNCT
ejpam-6065	57	499	,	,	PUNCT
ejpam-6065	57	500	(	(	PUNCT
ejpam-6065	57	501	b	b	X
ejpam-6065	57	502	,	,	PUNCT
ejpam-6065	57	503	z	z	NOUN
ejpam-6065	57	504	)	)	PUNCT
ejpam-6065	57	505	,	,	PUNCT
ejpam-6065	57	506	(	(	PUNCT
ejpam-6065	57	507	c	c	X
ejpam-6065	57	508	,	,	PUNCT
ejpam-6065	57	509	y	y	NOUN
ejpam-6065	57	510	)	)	PUNCT
ejpam-6065	57	511	}	}	PUNCT
ejpam-6065	57	512	,	,	PUNCT
ejpam-6065	57	513	s26	s26	PROPN
ejpam-6065	57	514	=	=	SYM
ejpam-6065	57	515	{	{	PUNCT
ejpam-6065	57	516	(	(	PUNCT
ejpam-6065	57	517	a	a	PRON
ejpam-6065	57	518	,	,	PUNCT
ejpam-6065	57	519	z	z	NOUN
ejpam-6065	57	520	)	)	PUNCT
ejpam-6065	57	521	,	,	PUNCT
ejpam-6065	57	522	(	(	PUNCT
ejpam-6065	57	523	b	b	X
ejpam-6065	57	524	,	,	PUNCT
ejpam-6065	57	525	z	z	NOUN
ejpam-6065	57	526	)	)	PUNCT
ejpam-6065	57	527	,	,	PUNCT
ejpam-6065	57	528	(	(	PUNCT
ejpam-6065	57	529	c	c	X
ejpam-6065	57	530	,	,	PUNCT
ejpam-6065	57	531	y	y	NOUN
ejpam-6065	57	532	)	)	PUNCT
ejpam-6065	57	533	}	}	PUNCT
ejpam-6065	57	534	,	,	PUNCT
ejpam-6065	57	535	and	and	CCONJ
ejpam-6065	57	536	s9	s9	NOUN
ejpam-6065	57	537	=	=	SYM
ejpam-6065	57	538	{	{	PUNCT
ejpam-6065	57	539	(	(	PUNCT
ejpam-6065	57	540	a	a	PRON
ejpam-6065	57	541	,	,	PUNCT
ejpam-6065	57	542	x	x	NOUN
ejpam-6065	57	543	)	)	PUNCT
ejpam-6065	57	544	,	,	PUNCT
ejpam-6065	57	545	(	(	PUNCT
ejpam-6065	57	546	b	b	X
ejpam-6065	57	547	,	,	PUNCT
ejpam-6065	57	548	z	z	NOUN
ejpam-6065	57	549	)	)	PUNCT
ejpam-6065	57	550	,	,	PUNCT
ejpam-6065	57	551	(	(	PUNCT
ejpam-6065	57	552	c	c	X
ejpam-6065	57	553	,	,	PUNCT
ejpam-6065	57	554	z	z	NOUN
ejpam-6065	57	555	)	)	PUNCT
ejpam-6065	57	556	}	}	PUNCT
ejpam-6065	57	557	,	,	PUNCT
ejpam-6065	57	558	s18	s18	PROPN
ejpam-6065	57	559	=	=	SYM
ejpam-6065	57	560	{	{	PUNCT
ejpam-6065	57	561	(	(	PUNCT
ejpam-6065	57	562	a	a	PROPN
ejpam-6065	57	563	,	,	PUNCT
ejpam-6065	57	564	y	y	PROPN
ejpam-6065	57	565	)	)	PUNCT
ejpam-6065	57	566	,	,	PUNCT
ejpam-6065	57	567	(	(	PUNCT
ejpam-6065	57	568	b	b	X
ejpam-6065	57	569	,	,	PUNCT
ejpam-6065	57	570	z	z	NOUN
ejpam-6065	57	571	)	)	PUNCT
ejpam-6065	57	572	,	,	PUNCT
ejpam-6065	57	573	(	(	PUNCT
ejpam-6065	57	574	c	c	X
ejpam-6065	57	575	,	,	PUNCT
ejpam-6065	57	576	z	z	NOUN
ejpam-6065	57	577	)	)	PUNCT
ejpam-6065	57	578	}	}	PUNCT
ejpam-6065	57	579	,	,	PUNCT
ejpam-6065	57	580	s27	s27	PROPN
ejpam-6065	57	581	=	=	SYM
ejpam-6065	57	582	{	{	PUNCT
ejpam-6065	57	583	(	(	PUNCT
ejpam-6065	57	584	a	a	PRON
ejpam-6065	57	585	,	,	PUNCT
ejpam-6065	57	586	z	z	NOUN
ejpam-6065	57	587	)	)	PUNCT
ejpam-6065	57	588	,	,	PUNCT
ejpam-6065	57	589	(	(	PUNCT
ejpam-6065	57	590	b	b	X
ejpam-6065	57	591	,	,	PUNCT
ejpam-6065	57	592	z	z	NOUN
ejpam-6065	57	593	)	)	PUNCT
ejpam-6065	57	594	,	,	PUNCT
ejpam-6065	57	595	(	(	PUNCT
ejpam-6065	57	596	c	c	X
ejpam-6065	57	597	,	,	PUNCT
ejpam-6065	57	598	z	z	NOUN
ejpam-6065	57	599	)	)	PUNCT
ejpam-6065	57	600	}	}	PUNCT
ejpam-6065	57	601	are	be	AUX
ejpam-6065	57	602	γcl	γcl	NOUN
ejpam-6065	57	603	-	-	PUNCT
ejpam-6065	57	604	sets	set	NOUN
ejpam-6065	57	605	of	of	ADP
ejpam-6065	57	606	g[h	g[h	NOUN
ejpam-6065	57	607	]	]	PUNCT
ejpam-6065	57	608	.	.	PUNCT
ejpam-6065	58	1	clearly	clearly	ADV
ejpam-6065	58	2	,	,	PUNCT
ejpam-6065	58	3	there	there	PRON
ejpam-6065	58	4	exists	exist	VERB
ejpam-6065	58	5	no	no	DET
ejpam-6065	58	6	subset	subset	NOUN
ejpam-6065	58	7	with	with	ADP
ejpam-6065	58	8	1	1	NUM
ejpam-6065	58	9	and	and	CCONJ
ejpam-6065	58	10	2	2	NUM
ejpam-6065	58	11	vertices	vertex	NOUN
ejpam-6065	58	12	that	that	SCONJ
ejpam-6065	58	13	it	it	PRON
ejpam-6065	58	14	is	be	AUX
ejpam-6065	58	15	contained	contain	VERB
ejpam-6065	58	16	in	in	ADP
ejpam-6065	58	17	a	a	DET
ejpam-6065	58	18	unique	unique	ADJ
ejpam-6065	58	19	γcl	γcl	NOUN
ejpam-6065	58	20	-	-	PUNCT
ejpam-6065	58	21	set	set	NOUN
ejpam-6065	58	22	of	of	ADP
ejpam-6065	58	23	g[h	g[h	NOUN
ejpam-6065	58	24	]	]	PUNCT
ejpam-6065	58	25	.	.	PUNCT
ejpam-6065	59	1	thus	thus	ADV
ejpam-6065	59	2	,	,	PUNCT
ejpam-6065	59	3	for	for	ADP
ejpam-6065	59	4	all	all	DET
ejpam-6065	59	5	i	i	PRON
ejpam-6065	59	6	=	=	NOUN
ejpam-6065	59	7	1	1	NUM
ejpam-6065	59	8	,	,	PUNCT
ejpam-6065	59	9	2	2	NUM
ejpam-6065	59	10	,	,	PUNCT
ejpam-6065	59	11	.	.	PUNCT
ejpam-6065	59	12	.	.	PUNCT
ejpam-6065	59	13	.	.	PUNCT
ejpam-6065	60	1	,	,	PUNCT
ejpam-6065	60	2	27	27	NUM
ejpam-6065	60	3	,	,	PUNCT
ejpam-6065	60	4	si	si	X
ejpam-6065	60	5	is	be	AUX
ejpam-6065	60	6	a	a	DET
ejpam-6065	60	7	forcing	forcing	NOUN
ejpam-6065	60	8	subset	subset	NOUN
ejpam-6065	60	9	for	for	ADP
ejpam-6065	60	10	itself	itself	PRON
ejpam-6065	60	11	and	and	CCONJ
ejpam-6065	60	12	so	so	ADV
ejpam-6065	60	13	,	,	PUNCT
ejpam-6065	60	14	fγcl(g[h	fγcl(g[h	NOUN
ejpam-6065	60	15	]	]	X
ejpam-6065	60	16	)	)	PUNCT
ejpam-6065	61	1	=	=	SYM
ejpam-6065	61	2	|si|	|si|	PROPN
ejpam-6065	61	3	=	=	SYM
ejpam-6065	61	4	3	3	NUM
ejpam-6065	61	5	=	=	SYM
ejpam-6065	61	6	γcl(g[h	γcl(g[h	NUM
ejpam-6065	61	7	]	]	PUNCT
ejpam-6065	61	8	)	)	PUNCT
ejpam-6065	61	9	.	.	PUNCT
ejpam-6065	62	1	figure	figure	NOUN
ejpam-6065	62	2	2	2	NUM
ejpam-6065	62	3	:	:	PUNCT
ejpam-6065	62	4	graph	graph	NOUN
ejpam-6065	62	5	g[h	g[h	PROPN
ejpam-6065	62	6	]	]	PUNCT
ejpam-6065	62	7	with	with	ADP
ejpam-6065	62	8	fγcl(g[h	fγcl(g[h	NOUN
ejpam-6065	62	9	]	]	X
ejpam-6065	62	10	)	)	PUNCT
ejpam-6065	62	11	=	=	SYM
ejpam-6065	63	1	3	3	X
ejpam-6065	63	2	.	.	PUNCT
ejpam-6065	63	3	c.	c.	PROPN
ejpam-6065	63	4	l.	l.	PROPN
ejpam-6065	63	5	armada	armada	PROPN
ejpam-6065	63	6	et	et	PROPN
ejpam-6065	63	7	al	al	PROPN
ejpam-6065	63	8	.	.	PUNCT
ejpam-6065	63	9	/	/	SYM
ejpam-6065	63	10	eur	eur	PROPN
ejpam-6065	63	11	.	.	PUNCT
ejpam-6065	64	1	j.	j.	PROPN
ejpam-6065	64	2	pure	pure	PROPN
ejpam-6065	64	3	appl	appl	PROPN
ejpam-6065	64	4	.	.	PROPN
ejpam-6065	64	5	math	math	PROPN
ejpam-6065	64	6	,	,	PUNCT
ejpam-6065	64	7	18	18	NUM
ejpam-6065	64	8	(	(	PUNCT
ejpam-6065	64	9	2	2	NUM
ejpam-6065	64	10	)	)	PUNCT
ejpam-6065	64	11	(	(	PUNCT
ejpam-6065	64	12	2025	2025	NUM
ejpam-6065	64	13	)	)	PUNCT
ejpam-6065	64	14	,	,	PUNCT
ejpam-6065	64	15	6065	6065	NUM
ejpam-6065	64	16	5	5	NUM
ejpam-6065	64	17	of	of	ADP
ejpam-6065	64	18	14	14	NUM
ejpam-6065	64	19	2	2	NUM
ejpam-6065	64	20	.	.	PUNCT
ejpam-6065	65	1	known	know	VERB
ejpam-6065	65	2	results	result	NOUN
ejpam-6065	65	3	this	this	DET
ejpam-6065	65	4	section	section	NOUN
ejpam-6065	65	5	presents	present	VERB
ejpam-6065	65	6	known	know	VERB
ejpam-6065	65	7	results	result	NOUN
ejpam-6065	65	8	on	on	ADP
ejpam-6065	65	9	the	the	DET
ejpam-6065	65	10	domination	domination	NOUN
ejpam-6065	65	11	number	number	NOUN
ejpam-6065	65	12	and	and	CCONJ
ejpam-6065	65	13	the	the	DET
ejpam-6065	65	14	clique	clique	ADJ
ejpam-6065	65	15	domination	domination	NOUN
ejpam-6065	65	16	number	number	NOUN
ejpam-6065	65	17	of	of	ADP
ejpam-6065	65	18	a	a	DET
ejpam-6065	65	19	graph	graph	NOUN
ejpam-6065	65	20	g	g	NOUN
ejpam-6065	65	21	,	,	PUNCT
ejpam-6065	65	22	and	and	CCONJ
ejpam-6065	65	23	of	of	ADP
ejpam-6065	65	24	graphs	graph	NOUN
ejpam-6065	65	25	resulting	result	VERB
ejpam-6065	65	26	from	from	ADP
ejpam-6065	65	27	some	some	DET
ejpam-6065	65	28	binary	binary	ADJ
ejpam-6065	65	29	operations	operation	NOUN
ejpam-6065	65	30	.	.	PUNCT
ejpam-6065	66	1	proposition	proposition	NOUN
ejpam-6065	66	2	2.1	2.1	NUM
ejpam-6065	66	3	.	.	PUNCT
ejpam-6065	67	1	[	[	X
ejpam-6065	67	2	15	15	NUM
ejpam-6065	67	3	]	]	PUNCT
ejpam-6065	67	4	for	for	ADP
ejpam-6065	67	5	n	n	PRON
ejpam-6065	67	6	≥	≥	NUM
ejpam-6065	67	7	3	3	NUM
ejpam-6065	67	8	,	,	PUNCT
ejpam-6065	67	9	γ(pn	γ(pn	NOUN
ejpam-6065	67	10	)	)	PUNCT
ejpam-6065	67	11	=	=	SYM
ejpam-6065	67	12	γ(cn	γ(cn	PROPN
ejpam-6065	67	13	)	)	PUNCT
ejpam-6065	67	14	=	=	PUNCT
ejpam-6065	67	15	⌈n	⌈n	NOUN
ejpam-6065	67	16	3	3	NUM
ejpam-6065	67	17	⌉	⌉	X
ejpam-6065	67	18	.	.	PUNCT
ejpam-6065	68	1	proposition	proposition	NOUN
ejpam-6065	68	2	2.2	2.2	NUM
ejpam-6065	68	3	.	.	PUNCT
ejpam-6065	69	1	[	[	X
ejpam-6065	69	2	16	16	NUM
ejpam-6065	69	3	]	]	X
ejpam-6065	69	4	if	if	SCONJ
ejpam-6065	69	5	n	n	PRON
ejpam-6065	69	6	is	be	AUX
ejpam-6065	69	7	a	a	DET
ejpam-6065	69	8	positive	positive	ADJ
ejpam-6065	69	9	integer	integer	NOUN
ejpam-6065	69	10	,	,	PUNCT
ejpam-6065	69	11	then	then	ADV
ejpam-6065	69	12	γ(kn	γ(kn	X
ejpam-6065	69	13	)	)	PUNCT
ejpam-6065	69	14	=	=	SYM
ejpam-6065	70	1	1	1	X
ejpam-6065	70	2	.	.	X
ejpam-6065	70	3	theorem	theorem	VERB
ejpam-6065	70	4	2.3	2.3	NUM
ejpam-6065	70	5	.	.	PUNCT
ejpam-6065	71	1	[	[	X
ejpam-6065	71	2	2	2	X
ejpam-6065	71	3	]	]	PUNCT
ejpam-6065	71	4	let	let	VERB
ejpam-6065	71	5	g	g	PRON
ejpam-6065	71	6	be	be	AUX
ejpam-6065	71	7	a	a	DET
ejpam-6065	71	8	connected	connected	ADJ
ejpam-6065	71	9	graph	graph	NOUN
ejpam-6065	71	10	.	.	PUNCT
ejpam-6065	72	1	then	then	ADV
ejpam-6065	72	2	γcl(g	γcl(g	X
ejpam-6065	72	3	)	)	PUNCT
ejpam-6065	72	4	=	=	SYM
ejpam-6065	72	5	1	1	NUM
ejpam-6065	72	6	if	if	SCONJ
ejpam-6065	72	7	and	and	CCONJ
ejpam-6065	72	8	only	only	ADV
ejpam-6065	72	9	if	if	SCONJ
ejpam-6065	72	10	γ(g	γ(g	NOUN
ejpam-6065	72	11	)	)	PUNCT
ejpam-6065	72	12	=	=	SYM
ejpam-6065	72	13	1	1	X
ejpam-6065	72	14	.	.	X
ejpam-6065	72	15	theorem	theorem	VERB
ejpam-6065	72	16	2.4	2.4	NUM
ejpam-6065	72	17	.	.	PUNCT
ejpam-6065	73	1	[	[	X
ejpam-6065	73	2	2	2	X
ejpam-6065	73	3	]	]	PUNCT
ejpam-6065	73	4	let	let	VERB
ejpam-6065	73	5	g	g	NOUN
ejpam-6065	73	6	and	and	CCONJ
ejpam-6065	73	7	h	h	NOUN
ejpam-6065	73	8	be	be	VERB
ejpam-6065	73	9	any	any	DET
ejpam-6065	73	10	two	two	NUM
ejpam-6065	73	11	graphs	graph	NOUN
ejpam-6065	73	12	.	.	PUNCT
ejpam-6065	74	1	a	a	DET
ejpam-6065	74	2	subset	subset	NOUN
ejpam-6065	74	3	s	s	X
ejpam-6065	74	4	of	of	ADP
ejpam-6065	74	5	v	v	NOUN
ejpam-6065	74	6	(	(	PUNCT
ejpam-6065	74	7	g+h	g+h	PROPN
ejpam-6065	74	8	)	)	PUNCT
ejpam-6065	74	9	is	be	AUX
ejpam-6065	74	10	a	a	DET
ejpam-6065	74	11	clique	clique	NOUN
ejpam-6065	74	12	dominating	dominating	NOUN
ejpam-6065	74	13	set	set	NOUN
ejpam-6065	74	14	of	of	ADP
ejpam-6065	74	15	g+h	g+h	PROPN
ejpam-6065	74	16	if	if	SCONJ
ejpam-6065	74	17	and	and	CCONJ
ejpam-6065	74	18	only	only	ADV
ejpam-6065	74	19	if	if	SCONJ
ejpam-6065	74	20	one	one	NUM
ejpam-6065	74	21	of	of	ADP
ejpam-6065	74	22	the	the	DET
ejpam-6065	74	23	following	following	ADJ
ejpam-6065	74	24	statements	statement	NOUN
ejpam-6065	74	25	holds	hold	VERB
ejpam-6065	74	26	:	:	PUNCT
ejpam-6065	74	27	(	(	PUNCT
ejpam-6065	74	28	i	i	NOUN
ejpam-6065	74	29	)	)	PUNCT
ejpam-6065	74	30	s	s	VERB
ejpam-6065	74	31	is	be	AUX
ejpam-6065	74	32	clique	clique	ADJ
ejpam-6065	74	33	dominating	dominating	NOUN
ejpam-6065	74	34	set	set	NOUN
ejpam-6065	74	35	of	of	ADP
ejpam-6065	74	36	g	g	PROPN
ejpam-6065	74	37	(	(	PUNCT
ejpam-6065	74	38	ii	ii	PROPN
ejpam-6065	74	39	)	)	PUNCT
ejpam-6065	75	1	s	s	VERB
ejpam-6065	75	2	is	be	AUX
ejpam-6065	75	3	a	a	DET
ejpam-6065	75	4	clique	clique	NOUN
ejpam-6065	75	5	dominating	dominating	NOUN
ejpam-6065	75	6	set	set	NOUN
ejpam-6065	75	7	of	of	ADP
ejpam-6065	75	8	h.	h.	PROPN
ejpam-6065	75	9	(	(	PUNCT
ejpam-6065	75	10	iii	iii	NOUN
ejpam-6065	75	11	)	)	PUNCT
ejpam-6065	75	12	s	s	PART
ejpam-6065	75	13	=	=	NOUN
ejpam-6065	75	14	s1	s1	PROPN
ejpam-6065	75	15	∪	∪	X
ejpam-6065	75	16	s2	s2	PROPN
ejpam-6065	75	17	,	,	PUNCT
ejpam-6065	75	18	where	where	SCONJ
ejpam-6065	75	19	⟨s1⟩	⟨s1⟩	NOUN
ejpam-6065	75	20	and	and	CCONJ
ejpam-6065	75	21	⟨s2⟩	⟨s2⟩	NOUN
ejpam-6065	75	22	are	be	AUX
ejpam-6065	75	23	cliques	clique	NOUN
ejpam-6065	75	24	in	in	ADP
ejpam-6065	75	25	g	g	PROPN
ejpam-6065	75	26	and	and	CCONJ
ejpam-6065	75	27	h	h	NOUN
ejpam-6065	75	28	,	,	PUNCT
ejpam-6065	75	29	respectively	respectively	ADV
ejpam-6065	75	30	.	.	PUNCT
ejpam-6065	76	1	corollary	corollary	ADJ
ejpam-6065	76	2	2.5	2.5	NUM
ejpam-6065	76	3	.	.	PUNCT
ejpam-6065	77	1	[	[	X
ejpam-6065	77	2	2	2	X
ejpam-6065	77	3	]	]	PUNCT
ejpam-6065	77	4	let	let	VERB
ejpam-6065	77	5	g	g	NOUN
ejpam-6065	77	6	and	and	CCONJ
ejpam-6065	77	7	h	h	NOUN
ejpam-6065	77	8	be	be	AUX
ejpam-6065	77	9	nontrivial	nontrivial	ADJ
ejpam-6065	77	10	graphs	graph	NOUN
ejpam-6065	77	11	.	.	PUNCT
ejpam-6065	78	1	then	then	ADV
ejpam-6065	78	2	γcl(g+h	γcl(g+h	ADJ
ejpam-6065	78	3	)	)	PUNCT
ejpam-6065	79	1	=	=	PRON
ejpam-6065	79	2	{	{	PUNCT
ejpam-6065	79	3	1	1	NUM
ejpam-6065	79	4	,	,	PUNCT
ejpam-6065	79	5	if	if	SCONJ
ejpam-6065	79	6	γ(g	γ(g	PROPN
ejpam-6065	79	7	)	)	PUNCT
ejpam-6065	79	8	=	=	SYM
ejpam-6065	79	9	1	1	NUM
ejpam-6065	79	10	or	or	CCONJ
ejpam-6065	79	11	γ(h	γ(h	NOUN
ejpam-6065	79	12	)	)	PUNCT
ejpam-6065	79	13	=	=	SYM
ejpam-6065	79	14	1	1	NUM
ejpam-6065	79	15	2	2	NUM
ejpam-6065	79	16	,	,	PUNCT
ejpam-6065	79	17	otherwise	otherwise	ADV
ejpam-6065	79	18	theorem	theorem	VERB
ejpam-6065	79	19	2.6	2.6	NUM
ejpam-6065	79	20	.	.	PUNCT
ejpam-6065	80	1	[	[	X
ejpam-6065	80	2	3	3	X
ejpam-6065	80	3	]	]	X
ejpam-6065	80	4	if	if	SCONJ
ejpam-6065	80	5	g	g	PROPN
ejpam-6065	80	6	is	be	AUX
ejpam-6065	80	7	a	a	DET
ejpam-6065	80	8	finite	finite	ADJ
ejpam-6065	80	9	graph	graph	NOUN
ejpam-6065	80	10	that	that	PRON
ejpam-6065	80	11	is	be	AUX
ejpam-6065	80	12	connected	connect	VERB
ejpam-6065	80	13	and	and	CCONJ
ejpam-6065	80	14	has	have	VERB
ejpam-6065	80	15	no	no	DET
ejpam-6065	80	16	induced	induce	VERB
ejpam-6065	80	17	p5	p5	NOUN
ejpam-6065	80	18	or	or	CCONJ
ejpam-6065	80	19	c5	c5	PROPN
ejpam-6065	80	20	,	,	PUNCT
ejpam-6065	80	21	then	then	ADV
ejpam-6065	80	22	g	g	PROPN
ejpam-6065	80	23	has	have	VERB
ejpam-6065	80	24	a	a	DET
ejpam-6065	80	25	clique	clique	ADJ
ejpam-6065	80	26	dominating	dominating	NOUN
ejpam-6065	80	27	set	set	NOUN
ejpam-6065	80	28	.	.	PUNCT
ejpam-6065	81	1	theorem	theorem	VERB
ejpam-6065	81	2	2.7	2.7	NUM
ejpam-6065	81	3	.	.	PUNCT
ejpam-6065	82	1	[	[	X
ejpam-6065	82	2	2	2	X
ejpam-6065	82	3	]	]	PUNCT
ejpam-6065	82	4	let	let	VERB
ejpam-6065	82	5	g	g	PRON
ejpam-6065	82	6	be	be	AUX
ejpam-6065	82	7	a	a	DET
ejpam-6065	82	8	connected	connected	ADJ
ejpam-6065	82	9	nontrivial	nontrivial	ADJ
ejpam-6065	82	10	graph	graph	NOUN
ejpam-6065	82	11	and	and	CCONJ
ejpam-6065	82	12	h	h	NOUN
ejpam-6065	82	13	be	be	AUX
ejpam-6065	82	14	any	any	DET
ejpam-6065	82	15	non	non	ADJ
ejpam-6065	82	16	-	-	ADJ
ejpam-6065	82	17	trivial	trivial	ADJ
ejpam-6065	82	18	graph	graph	NOUN
ejpam-6065	82	19	.	.	PUNCT
ejpam-6065	83	1	then	then	ADV
ejpam-6065	83	2	g	g	PROPN
ejpam-6065	83	3	◦	◦	NOUN
ejpam-6065	83	4	h	h	NOUN
ejpam-6065	83	5	has	have	VERB
ejpam-6065	83	6	a	a	DET
ejpam-6065	83	7	clique	clique	NOUN
ejpam-6065	83	8	dominating	dominating	NOUN
ejpam-6065	83	9	set	set	NOUN
ejpam-6065	83	10	s	s	VERB
ejpam-6065	83	11	if	if	SCONJ
ejpam-6065	84	1	and	and	CCONJ
ejpam-6065	84	2	only	only	ADV
ejpam-6065	84	3	if	if	SCONJ
ejpam-6065	84	4	g	g	PROPN
ejpam-6065	84	5	is	be	AUX
ejpam-6065	84	6	complete	complete	ADJ
ejpam-6065	84	7	and	and	CCONJ
ejpam-6065	84	8	s	s	VERB
ejpam-6065	84	9	=	=	X
ejpam-6065	84	10	v	v	X
ejpam-6065	84	11	(	(	PUNCT
ejpam-6065	84	12	g	g	NOUN
ejpam-6065	84	13	)	)	PUNCT
ejpam-6065	84	14	.	.	PUNCT
ejpam-6065	85	1	corollary	corollary	ADJ
ejpam-6065	85	2	2.8	2.8	NUM
ejpam-6065	85	3	.	.	PUNCT
ejpam-6065	86	1	[	[	X
ejpam-6065	86	2	2	2	X
ejpam-6065	86	3	]	]	PUNCT
ejpam-6065	86	4	let	let	VERB
ejpam-6065	86	5	g	g	PRON
ejpam-6065	86	6	be	be	AUX
ejpam-6065	86	7	a	a	DET
ejpam-6065	86	8	complete	complete	ADJ
ejpam-6065	86	9	nontrivial	nontrivial	ADJ
ejpam-6065	86	10	graph	graph	NOUN
ejpam-6065	86	11	and	and	CCONJ
ejpam-6065	86	12	h	h	NOUN
ejpam-6065	86	13	be	be	AUX
ejpam-6065	86	14	any	any	DET
ejpam-6065	86	15	graph.then	graph.then	PROPN
ejpam-6065	86	16	γcl(g	γcl(g	PROPN
ejpam-6065	86	17	◦	◦	NOUN
ejpam-6065	86	18	h	h	NOUN
ejpam-6065	86	19	)	)	PUNCT
ejpam-6065	86	20	=	=	SYM
ejpam-6065	86	21	|v	|v	PROPN
ejpam-6065	86	22	(	(	PUNCT
ejpam-6065	86	23	g)|	g)|	PROPN
ejpam-6065	86	24	.	.	PUNCT
ejpam-6065	86	25	theorem	theorem	VERB
ejpam-6065	86	26	2.9	2.9	NUM
ejpam-6065	86	27	.	.	PUNCT
ejpam-6065	87	1	[	[	X
ejpam-6065	87	2	2	2	X
ejpam-6065	87	3	]	]	PUNCT
ejpam-6065	87	4	let	let	VERB
ejpam-6065	87	5	g	g	NOUN
ejpam-6065	87	6	and	and	CCONJ
ejpam-6065	87	7	h	h	NOUN
ejpam-6065	87	8	be	be	AUX
ejpam-6065	87	9	connected	connect	VERB
ejpam-6065	87	10	nontrivial	nontrivial	ADJ
ejpam-6065	87	11	graphs	graph	NOUN
ejpam-6065	87	12	such	such	ADJ
ejpam-6065	87	13	that	that	SCONJ
ejpam-6065	87	14	g	g	PROPN
ejpam-6065	87	15	has	have	VERB
ejpam-6065	87	16	a	a	DET
ejpam-6065	87	17	clique	clique	ADJ
ejpam-6065	87	18	dominating	dominating	NOUN
ejpam-6065	87	19	set	set	NOUN
ejpam-6065	87	20	.	.	PUNCT
ejpam-6065	88	1	a	a	DET
ejpam-6065	88	2	subset	subset	NOUN
ejpam-6065	88	3	c	c	NOUN
ejpam-6065	88	4	=	=	PUNCT
ejpam-6065	88	5	⋃	⋃	PROPN
ejpam-6065	88	6	x∈s	x∈s	NOUN
ejpam-6065	89	1	[	[	X
ejpam-6065	89	2	{	{	PUNCT
ejpam-6065	89	3	x	x	NOUN
ejpam-6065	89	4	}	}	PUNCT
ejpam-6065	89	5	×	×	PROPN
ejpam-6065	89	6	tx	tx	PROPN
ejpam-6065	89	7	]	]	X
ejpam-6065	89	8	,	,	PUNCT
ejpam-6065	89	9	where	where	SCONJ
ejpam-6065	89	10	s	s	VERB
ejpam-6065	89	11	⊆	⊆	NUM
ejpam-6065	89	12	v	v	NOUN
ejpam-6065	89	13	(	(	PUNCT
ejpam-6065	89	14	g	g	NOUN
ejpam-6065	89	15	)	)	PUNCT
ejpam-6065	89	16	and	and	CCONJ
ejpam-6065	89	17	tx	tx	VERB
ejpam-6065	89	18	⊆	⊆	NUM
ejpam-6065	89	19	v	v	NOUN
ejpam-6065	89	20	(	(	PUNCT
ejpam-6065	89	21	h	h	NOUN
ejpam-6065	89	22	)	)	PUNCT
ejpam-6065	89	23	for	for	ADP
ejpam-6065	89	24	each	each	DET
ejpam-6065	89	25	x	x	SYM
ejpam-6065	89	26	∈	∈	PROPN
ejpam-6065	89	27	s	s	NOUN
ejpam-6065	89	28	,	,	PUNCT
ejpam-6065	89	29	is	be	AUX
ejpam-6065	89	30	a	a	DET
ejpam-6065	89	31	clique	clique	NOUN
ejpam-6065	89	32	dominating	dominating	NOUN
ejpam-6065	89	33	set	set	NOUN
ejpam-6065	89	34	of	of	ADP
ejpam-6065	89	35	g[h	g[h	PROPN
ejpam-6065	89	36	]	]	PUNCT
ejpam-6065	89	37	if	if	SCONJ
ejpam-6065	89	38	and	and	CCONJ
ejpam-6065	89	39	only	only	ADV
ejpam-6065	89	40	if	if	SCONJ
ejpam-6065	89	41	s	s	NOUN
ejpam-6065	89	42	is	be	AUX
ejpam-6065	89	43	a	a	DET
ejpam-6065	89	44	clique	clique	NOUN
ejpam-6065	89	45	dominating	dominating	NOUN
ejpam-6065	89	46	set	set	NOUN
ejpam-6065	89	47	of	of	ADP
ejpam-6065	89	48	g	g	PROPN
ejpam-6065	89	49	such	such	ADJ
ejpam-6065	89	50	that	that	SCONJ
ejpam-6065	89	51	(	(	PUNCT
ejpam-6065	89	52	i	i	NOUN
ejpam-6065	89	53	)	)	PUNCT
ejpam-6065	89	54	⟨tx⟩	⟨tx⟩	PROPN
ejpam-6065	89	55	is	be	AUX
ejpam-6065	89	56	a	a	DET
ejpam-6065	89	57	clique	clique	NOUN
ejpam-6065	89	58	in	in	ADP
ejpam-6065	89	59	h	h	NOUN
ejpam-6065	89	60	for	for	ADP
ejpam-6065	89	61	each	each	DET
ejpam-6065	89	62	x	x	SYM
ejpam-6065	89	63	∈	∈	PROPN
ejpam-6065	89	64	s	s	PART
ejpam-6065	89	65	and	and	CCONJ
ejpam-6065	89	66	(	(	PUNCT
ejpam-6065	89	67	ii	ii	NOUN
ejpam-6065	89	68	)	)	PUNCT
ejpam-6065	89	69	tx	tx	PROPN
ejpam-6065	89	70	is	be	AUX
ejpam-6065	89	71	a	a	DET
ejpam-6065	89	72	dominating	dominating	NOUN
ejpam-6065	89	73	set	set	NOUN
ejpam-6065	89	74	of	of	ADP
ejpam-6065	89	75	h	h	NOUN
ejpam-6065	90	1	whenever	whenever	SCONJ
ejpam-6065	90	2	s	s	VERB
ejpam-6065	90	3	=	=	PRON
ejpam-6065	90	4	{	{	PUNCT
ejpam-6065	90	5	x	x	NOUN
ejpam-6065	90	6	}	}	PUNCT
ejpam-6065	90	7	.	.	PUNCT
ejpam-6065	91	1	corollary	corollary	ADJ
ejpam-6065	91	2	2.10	2.10	NUM
ejpam-6065	91	3	.	.	PUNCT
ejpam-6065	92	1	[	[	X
ejpam-6065	92	2	2	2	X
ejpam-6065	92	3	]	]	PUNCT
ejpam-6065	92	4	let	let	VERB
ejpam-6065	92	5	g	g	NOUN
ejpam-6065	92	6	and	and	CCONJ
ejpam-6065	92	7	h	h	NOUN
ejpam-6065	92	8	be	be	AUX
ejpam-6065	92	9	connected	connect	VERB
ejpam-6065	92	10	nontrivial	nontrivial	ADJ
ejpam-6065	92	11	graphs	graph	NOUN
ejpam-6065	92	12	such	such	ADJ
ejpam-6065	92	13	that	that	SCONJ
ejpam-6065	92	14	g	g	PROPN
ejpam-6065	92	15	has	have	VERB
ejpam-6065	92	16	a	a	DET
ejpam-6065	92	17	clique	clique	NOUN
ejpam-6065	92	18	dominating	dominating	NOUN
ejpam-6065	92	19	set.then	set.then	X
ejpam-6065	92	20	γcl(g[h	γcl(g[h	NUM
ejpam-6065	92	21	]	]	PUNCT
ejpam-6065	92	22	)	)	PUNCT
ejpam-6065	93	1	=	=	SYM
ejpam-6065	93	2			NOUN
ejpam-6065	93	3	1	1	NUM
ejpam-6065	93	4	,	,	PUNCT
ejpam-6065	93	5	if	if	SCONJ
ejpam-6065	93	6	γ(g	γ(g	PROPN
ejpam-6065	93	7	)	)	PUNCT
ejpam-6065	93	8	=	=	SYM
ejpam-6065	93	9	γ(h	γ(h	NOUN
ejpam-6065	93	10	)	)	PUNCT
ejpam-6065	93	11	=	=	SYM
ejpam-6065	93	12	1	1	NUM
ejpam-6065	93	13	2	2	NUM
ejpam-6065	93	14	,	,	PUNCT
ejpam-6065	93	15	if	if	SCONJ
ejpam-6065	93	16	γ(g	γ(g	PROPN
ejpam-6065	93	17	)	)	PUNCT
ejpam-6065	93	18	=	=	SYM
ejpam-6065	93	19	1	1	NUM
ejpam-6065	93	20	and	and	CCONJ
ejpam-6065	93	21	γ(h	γ(h	NOUN
ejpam-6065	93	22	)	)	PUNCT
ejpam-6065	93	23	̸=	̸=	PROPN
ejpam-6065	93	24	1	1	NUM
ejpam-6065	93	25	γcl(g	γcl(g	PROPN
ejpam-6065	93	26	)	)	PUNCT
ejpam-6065	93	27	,	,	PUNCT
ejpam-6065	93	28	ifγ(g	ifγ(g	PROPN
ejpam-6065	93	29	)	)	PUNCT
ejpam-6065	93	30	̸=	̸=	PROPN
ejpam-6065	93	31	1	1	NUM
ejpam-6065	93	32	c.	c.	PROPN
ejpam-6065	93	33	l.	l.	PROPN
ejpam-6065	93	34	armada	armada	PROPN
ejpam-6065	93	35	et	et	PROPN
ejpam-6065	93	36	al	al	PROPN
ejpam-6065	93	37	.	.	PUNCT
ejpam-6065	93	38	/	/	SYM
ejpam-6065	93	39	eur	eur	PROPN
ejpam-6065	93	40	.	.	PUNCT
ejpam-6065	94	1	j.	j.	PROPN
ejpam-6065	94	2	pure	pure	PROPN
ejpam-6065	94	3	appl	appl	PROPN
ejpam-6065	94	4	.	.	PROPN
ejpam-6065	94	5	math	math	PROPN
ejpam-6065	94	6	,	,	PUNCT
ejpam-6065	94	7	18	18	NUM
ejpam-6065	94	8	(	(	PUNCT
ejpam-6065	94	9	2	2	NUM
ejpam-6065	94	10	)	)	PUNCT
ejpam-6065	94	11	(	(	PUNCT
ejpam-6065	94	12	2025	2025	NUM
ejpam-6065	94	13	)	)	PUNCT
ejpam-6065	94	14	,	,	PUNCT
ejpam-6065	94	15	6065	6065	NUM
ejpam-6065	94	16	6	6	NUM
ejpam-6065	94	17	of	of	ADP
ejpam-6065	94	18	14	14	NUM
ejpam-6065	94	19	3	3	NUM
ejpam-6065	94	20	.	.	PUNCT
ejpam-6065	94	21	main	main	ADJ
ejpam-6065	94	22	results	result	NOUN
ejpam-6065	94	23	this	this	DET
ejpam-6065	94	24	section	section	NOUN
ejpam-6065	94	25	presents	present	VERB
ejpam-6065	94	26	the	the	DET
ejpam-6065	94	27	clique	clique	ADJ
ejpam-6065	94	28	domination	domination	NOUN
ejpam-6065	94	29	number	number	NOUN
ejpam-6065	94	30	and	and	CCONJ
ejpam-6065	94	31	the	the	DET
ejpam-6065	94	32	forcing	force	VERB
ejpam-6065	94	33	clique	clique	NOUN
ejpam-6065	94	34	domination	domination	NOUN
ejpam-6065	94	35	number	number	NOUN
ejpam-6065	94	36	of	of	ADP
ejpam-6065	94	37	special	special	ADJ
ejpam-6065	94	38	graphs	graph	NOUN
ejpam-6065	94	39	such	such	ADJ
ejpam-6065	94	40	as	as	ADP
ejpam-6065	94	41	paths	path	NOUN
ejpam-6065	94	42	,	,	PUNCT
ejpam-6065	94	43	cycles	cycle	NOUN
ejpam-6065	94	44	,	,	PUNCT
ejpam-6065	94	45	complete	complete	ADJ
ejpam-6065	94	46	graphs	graph	NOUN
ejpam-6065	94	47	and	and	CCONJ
ejpam-6065	94	48	other	other	ADJ
ejpam-6065	94	49	special	special	ADJ
ejpam-6065	94	50	graphs	graph	NOUN
ejpam-6065	94	51	such	such	ADJ
ejpam-6065	94	52	as	as	ADP
ejpam-6065	94	53	generalized	generalized	ADJ
ejpam-6065	94	54	wheels	wheel	NOUN
ejpam-6065	94	55	,	,	PUNCT
ejpam-6065	94	56	generalized	generalized	ADJ
ejpam-6065	94	57	fans	fan	NOUN
ejpam-6065	94	58	,	,	PUNCT
ejpam-6065	94	59	and	and	CCONJ
ejpam-6065	94	60	complete	complete	ADJ
ejpam-6065	94	61	bipartite	bipartite	NOUN
ejpam-6065	94	62	graphs	graph	NOUN
ejpam-6065	94	63	.	.	PUNCT
ejpam-6065	95	1	in	in	ADP
ejpam-6065	95	2	addition	addition	NOUN
ejpam-6065	95	3	,	,	PUNCT
ejpam-6065	95	4	the	the	DET
ejpam-6065	95	5	forcing	force	VERB
ejpam-6065	95	6	clique	clique	NOUN
ejpam-6065	95	7	domination	domination	NOUN
ejpam-6065	95	8	number	number	NOUN
ejpam-6065	95	9	is	be	AUX
ejpam-6065	95	10	determined	determine	VERB
ejpam-6065	95	11	for	for	ADP
ejpam-6065	95	12	graphs	graph	NOUN
ejpam-6065	95	13	obtained	obtain	VERB
ejpam-6065	95	14	through	through	ADP
ejpam-6065	95	15	some	some	DET
ejpam-6065	95	16	binary	binary	ADJ
ejpam-6065	95	17	operations	operation	NOUN
ejpam-6065	95	18	such	such	ADJ
ejpam-6065	95	19	as	as	ADP
ejpam-6065	95	20	the	the	DET
ejpam-6065	95	21	join	join	NOUN
ejpam-6065	95	22	,	,	PUNCT
ejpam-6065	95	23	corona	corona	PROPN
ejpam-6065	95	24	,	,	PUNCT
ejpam-6065	95	25	and	and	CCONJ
ejpam-6065	95	26	lexicographic	lexicographic	ADJ
ejpam-6065	95	27	product	product	NOUN
ejpam-6065	95	28	of	of	ADP
ejpam-6065	95	29	two	two	NUM
ejpam-6065	95	30	graphs	graph	NOUN
ejpam-6065	95	31	.	.	PUNCT
ejpam-6065	96	1	theorem	theorem	VERB
ejpam-6065	96	2	3.1	3.1	NUM
ejpam-6065	96	3	.	.	PUNCT
ejpam-6065	97	1	let	let	VERB
ejpam-6065	97	2	g	g	PRON
ejpam-6065	97	3	be	be	AUX
ejpam-6065	97	4	a	a	DET
ejpam-6065	97	5	connected	connected	ADJ
ejpam-6065	97	6	graph	graph	NOUN
ejpam-6065	97	7	such	such	ADJ
ejpam-6065	97	8	that	that	SCONJ
ejpam-6065	97	9	g	g	PROPN
ejpam-6065	97	10	has	have	VERB
ejpam-6065	97	11	a	a	DET
ejpam-6065	97	12	clique	clique	ADJ
ejpam-6065	97	13	dominating	dominating	NOUN
ejpam-6065	97	14	set	set	NOUN
ejpam-6065	97	15	.	.	PUNCT
ejpam-6065	98	1	then	then	ADV
ejpam-6065	98	2	(	(	PUNCT
ejpam-6065	98	3	i	i	NOUN
ejpam-6065	98	4	)	)	PUNCT
ejpam-6065	98	5	fγcl(g	fγcl(g	NOUN
ejpam-6065	98	6	)	)	PUNCT
ejpam-6065	98	7	=	=	SYM
ejpam-6065	98	8	0	0	PUNCT
ejpam-6065	99	1	if	if	SCONJ
ejpam-6065	99	2	and	and	CCONJ
ejpam-6065	99	3	only	only	ADV
ejpam-6065	99	4	if	if	SCONJ
ejpam-6065	99	5	g	g	PROPN
ejpam-6065	99	6	contains	contain	VERB
ejpam-6065	99	7	a	a	DET
ejpam-6065	99	8	unique	unique	ADJ
ejpam-6065	99	9	γcl	γcl	NOUN
ejpam-6065	99	10	-	-	PUNCT
ejpam-6065	99	11	set	set	NOUN
ejpam-6065	99	12	.	.	PUNCT
ejpam-6065	100	1	(	(	PUNCT
ejpam-6065	100	2	ii	ii	NOUN
ejpam-6065	100	3	)	)	PUNCT
ejpam-6065	100	4	fγcl(g	fγcl(g	NOUN
ejpam-6065	100	5	)	)	PUNCT
ejpam-6065	100	6	=	=	SYM
ejpam-6065	100	7	1	1	NUM
ejpam-6065	101	1	if	if	SCONJ
ejpam-6065	101	2	and	and	CCONJ
ejpam-6065	101	3	only	only	ADV
ejpam-6065	101	4	if	if	SCONJ
ejpam-6065	101	5	g	g	PROPN
ejpam-6065	101	6	has	have	VERB
ejpam-6065	101	7	no	no	DET
ejpam-6065	101	8	unique	unique	ADJ
ejpam-6065	101	9	γcl	γcl	NOUN
ejpam-6065	101	10	-	-	PUNCT
ejpam-6065	101	11	sets	set	NOUN
ejpam-6065	101	12	and	and	CCONJ
ejpam-6065	101	13	there	there	PRON
ejpam-6065	101	14	exists	exist	VERB
ejpam-6065	101	15	a	a	DET
ejpam-6065	101	16	vertex	vertex	NOUN
ejpam-6065	101	17	t	t	X
ejpam-6065	101	18	∈	∈	PROPN
ejpam-6065	101	19	v	v	ADP
ejpam-6065	101	20	(	(	PUNCT
ejpam-6065	101	21	g	g	NOUN
ejpam-6065	101	22	)	)	PUNCT
ejpam-6065	101	23	which	which	PRON
ejpam-6065	101	24	is	be	AUX
ejpam-6065	101	25	contained	contain	VERB
ejpam-6065	101	26	in	in	ADP
ejpam-6065	101	27	exactly	exactly	ADV
ejpam-6065	101	28	one	one	NUM
ejpam-6065	101	29	γcl	γcl	NOUN
ejpam-6065	101	30	-	-	PUNCT
ejpam-6065	101	31	set	set	NOUN
ejpam-6065	101	32	of	of	ADP
ejpam-6065	101	33	g.	g.	PROPN
ejpam-6065	101	34	(	(	PUNCT
ejpam-6065	101	35	iii	iii	NOUN
ejpam-6065	101	36	)	)	PUNCT
ejpam-6065	101	37	for	for	ADP
ejpam-6065	101	38	any	any	DET
ejpam-6065	101	39	integer	integer	NOUN
ejpam-6065	101	40	a	a	DET
ejpam-6065	101	41	such	such	ADJ
ejpam-6065	101	42	that	that	SCONJ
ejpam-6065	101	43	1	1	NUM
ejpam-6065	101	44	<	<	X
ejpam-6065	101	45	a	a	DET
ejpam-6065	101	46	<	<	X
ejpam-6065	101	47	γcl(g	γcl(g	PROPN
ejpam-6065	101	48	)	)	PUNCT
ejpam-6065	101	49	,	,	PUNCT
ejpam-6065	101	50	fγcl(g	fγcl(g	NOUN
ejpam-6065	101	51	)	)	PUNCT
ejpam-6065	101	52	=	=	PUNCT
ejpam-6065	101	53	a	a	DET
ejpam-6065	101	54	if	if	NOUN
ejpam-6065	101	55	and	and	CCONJ
ejpam-6065	101	56	only	only	ADV
ejpam-6065	101	57	if	if	SCONJ
ejpam-6065	101	58	g	g	PROPN
ejpam-6065	101	59	has	have	VERB
ejpam-6065	101	60	no	no	DET
ejpam-6065	101	61	unique	unique	ADJ
ejpam-6065	101	62	γcl	γcl	NOUN
ejpam-6065	101	63	-	-	PUNCT
ejpam-6065	101	64	sets	set	NOUN
ejpam-6065	101	65	and	and	CCONJ
ejpam-6065	101	66	a	a	PRON
ejpam-6065	101	67	is	be	AUX
ejpam-6065	101	68	the	the	DET
ejpam-6065	101	69	minimum	minimum	ADJ
ejpam-6065	101	70	number	number	NOUN
ejpam-6065	101	71	of	of	ADP
ejpam-6065	101	72	vertices	vertex	NOUN
ejpam-6065	101	73	which	which	PRON
ejpam-6065	101	74	are	be	AUX
ejpam-6065	101	75	contained	contain	VERB
ejpam-6065	101	76	in	in	ADP
ejpam-6065	101	77	exactly	exactly	ADV
ejpam-6065	101	78	one	one	NUM
ejpam-6065	101	79	γcl	γcl	NOUN
ejpam-6065	101	80	-	-	PUNCT
ejpam-6065	101	81	set	set	NOUN
ejpam-6065	101	82	of	of	ADP
ejpam-6065	101	83	g.	g.	PROPN
ejpam-6065	101	84	proof	proof	PROPN
ejpam-6065	101	85	:	:	PUNCT
ejpam-6065	101	86	(	(	PUNCT
ejpam-6065	101	87	i	i	NOUN
ejpam-6065	101	88	)	)	PUNCT
ejpam-6065	101	89	suppose	suppose	VERB
ejpam-6065	101	90	that	that	SCONJ
ejpam-6065	101	91	fγcl(g	fγcl(g	NOUN
ejpam-6065	101	92	)	)	PUNCT
ejpam-6065	101	93	=	=	SYM
ejpam-6065	101	94	0	0	X
ejpam-6065	101	95	.	.	PUNCT
ejpam-6065	102	1	it	it	PRON
ejpam-6065	102	2	follows	follow	VERB
ejpam-6065	102	3	that	that	SCONJ
ejpam-6065	102	4	∅	∅	NOUN
ejpam-6065	102	5	is	be	AUX
ejpam-6065	102	6	the	the	DET
ejpam-6065	102	7	forcing	forcing	NOUN
ejpam-6065	102	8	subset	subset	NOUN
ejpam-6065	102	9	for	for	ADP
ejpam-6065	102	10	a	a	DET
ejpam-6065	102	11	γcl	γcl	NOUN
ejpam-6065	102	12	-	-	PUNCT
ejpam-6065	102	13	set	set	VERB
ejpam-6065	102	14	in	in	ADP
ejpam-6065	102	15	g.	g.	PROPN
ejpam-6065	102	16	suppose	suppose	VERB
ejpam-6065	102	17	that	that	SCONJ
ejpam-6065	102	18	g	g	PROPN
ejpam-6065	102	19	has	have	VERB
ejpam-6065	102	20	two	two	NUM
ejpam-6065	102	21	γcl	γcl	NOUN
ejpam-6065	102	22	-	-	PUNCT
ejpam-6065	102	23	sets	set	NOUN
ejpam-6065	102	24	,	,	PUNCT
ejpam-6065	102	25	say	say	VERB
ejpam-6065	102	26	c	c	PROPN
ejpam-6065	102	27	and	and	CCONJ
ejpam-6065	102	28	d.	d.	PROPN
ejpam-6065	102	29	then	then	ADV
ejpam-6065	102	30	∅	∅	NOUN
ejpam-6065	102	31	is	be	AUX
ejpam-6065	102	32	a	a	DET
ejpam-6065	102	33	forcing	forcing	NOUN
ejpam-6065	102	34	subset	subset	NOUN
ejpam-6065	102	35	for	for	ADP
ejpam-6065	102	36	c	c	PROPN
ejpam-6065	102	37	and	and	CCONJ
ejpam-6065	102	38	d	d	NOUN
ejpam-6065	102	39	,	,	PUNCT
ejpam-6065	102	40	a	a	DET
ejpam-6065	102	41	contradiction	contradiction	NOUN
ejpam-6065	102	42	since	since	SCONJ
ejpam-6065	102	43	a	a	DET
ejpam-6065	102	44	forcing	forcing	NOUN
ejpam-6065	102	45	subset	subset	NOUN
ejpam-6065	102	46	must	must	AUX
ejpam-6065	102	47	be	be	AUX
ejpam-6065	102	48	contained	contain	VERB
ejpam-6065	102	49	in	in	ADP
ejpam-6065	102	50	a	a	DET
ejpam-6065	102	51	unique	unique	ADJ
ejpam-6065	102	52	γcl	γcl	NOUN
ejpam-6065	102	53	-	-	PUNCT
ejpam-6065	102	54	set	set	NOUN
ejpam-6065	102	55	.	.	PUNCT
ejpam-6065	103	1	therefore	therefore	ADV
ejpam-6065	103	2	,	,	PUNCT
ejpam-6065	103	3	g	g	PROPN
ejpam-6065	103	4	contains	contain	VERB
ejpam-6065	103	5	a	a	DET
ejpam-6065	103	6	unique	unique	ADJ
ejpam-6065	103	7	γcl	γcl	NOUN
ejpam-6065	103	8	-	-	PUNCT
ejpam-6065	103	9	set	set	NOUN
ejpam-6065	103	10	.	.	PUNCT
ejpam-6065	104	1	conversely	conversely	ADV
ejpam-6065	104	2	,	,	PUNCT
ejpam-6065	104	3	if	if	SCONJ
ejpam-6065	104	4	g	g	PROPN
ejpam-6065	104	5	contains	contain	VERB
ejpam-6065	104	6	a	a	DET
ejpam-6065	104	7	unique	unique	ADJ
ejpam-6065	104	8	γcl	γcl	NOUN
ejpam-6065	104	9	-	-	PUNCT
ejpam-6065	104	10	set	set	NOUN
ejpam-6065	104	11	,	,	PUNCT
ejpam-6065	104	12	say	say	VERB
ejpam-6065	104	13	b.	b.	PROPN
ejpam-6065	104	14	clearly	clearly	ADV
ejpam-6065	104	15	,	,	PUNCT
ejpam-6065	104	16	∅	∅	NOUN
ejpam-6065	104	17	is	be	AUX
ejpam-6065	104	18	a	a	DET
ejpam-6065	104	19	forcing	force	VERB
ejpam-6065	104	20	subset	subset	NOUN
ejpam-6065	104	21	of	of	ADP
ejpam-6065	104	22	b.	b.	PROPN
ejpam-6065	104	23	hence	hence	ADV
ejpam-6065	104	24	,	,	PUNCT
ejpam-6065	104	25	|∅|	|∅|	X
ejpam-6065	104	26	=	=	SYM
ejpam-6065	104	27	0	0	NUM
ejpam-6065	104	28	=	=	SYM
ejpam-6065	104	29	fγcl(b	fγcl(b	PROPN
ejpam-6065	104	30	)	)	PUNCT
ejpam-6065	104	31	=	=	SYM
ejpam-6065	104	32	fγcl(g	fγcl(g	NOUN
ejpam-6065	104	33	)	)	PUNCT
ejpam-6065	104	34	.	.	PUNCT
ejpam-6065	105	1	(	(	PUNCT
ejpam-6065	105	2	ii	ii	NOUN
ejpam-6065	105	3	)	)	PUNCT
ejpam-6065	105	4	suppose	suppose	VERB
ejpam-6065	105	5	that	that	SCONJ
ejpam-6065	105	6	fγcl(g	fγcl(g	NOUN
ejpam-6065	105	7	)	)	PUNCT
ejpam-6065	105	8	=	=	SYM
ejpam-6065	106	1	1	1	X
ejpam-6065	106	2	.	.	PUNCT
ejpam-6065	106	3	by	by	ADP
ejpam-6065	106	4	part	part	NOUN
ejpam-6065	106	5	(	(	PUNCT
ejpam-6065	106	6	i	i	NOUN
ejpam-6065	106	7	)	)	PUNCT
ejpam-6065	106	8	,	,	PUNCT
ejpam-6065	106	9	g	g	PROPN
ejpam-6065	106	10	has	have	VERB
ejpam-6065	106	11	no	no	DET
ejpam-6065	106	12	unique	unique	ADJ
ejpam-6065	106	13	γcl	γcl	NOUN
ejpam-6065	106	14	-	-	PUNCT
ejpam-6065	106	15	set	set	VERB
ejpam-6065	106	16	and	and	CCONJ
ejpam-6065	106	17	there	there	PRON
ejpam-6065	106	18	exist	exist	VERB
ejpam-6065	106	19	γcl	γcl	PROPN
ejpam-6065	106	20	-	-	PUNCT
ejpam-6065	106	21	set	set	NOUN
ejpam-6065	106	22	,	,	PUNCT
ejpam-6065	106	23	say	say	VERB
ejpam-6065	106	24	t	t	NOUN
ejpam-6065	106	25	,	,	PUNCT
ejpam-6065	106	26	and	and	CCONJ
ejpam-6065	106	27	t	t	PROPN
ejpam-6065	106	28	∈	∈	PROPN
ejpam-6065	106	29	t	t	PROPN
ejpam-6065	106	30	such	such	ADJ
ejpam-6065	106	31	that	that	SCONJ
ejpam-6065	106	32	{	{	PUNCT
ejpam-6065	106	33	t	t	NOUN
ejpam-6065	106	34	}	}	PUNCT
ejpam-6065	106	35	is	be	AUX
ejpam-6065	106	36	a	a	DET
ejpam-6065	106	37	forcing	forcing	NOUN
ejpam-6065	106	38	subset	subset	NOUN
ejpam-6065	106	39	for	for	ADP
ejpam-6065	106	40	t	t	PROPN
ejpam-6065	106	41	and	and	CCONJ
ejpam-6065	106	42	fγcl(t	fγcl(t	NOUN
ejpam-6065	106	43	)	)	PUNCT
ejpam-6065	107	1	=	=	SYM
ejpam-6065	107	2	|{t}|	|{t}|	SYM
ejpam-6065	107	3	=	=	SYM
ejpam-6065	107	4	1	1	NUM
ejpam-6065	107	5	,	,	PUNCT
ejpam-6065	107	6	that	that	ADV
ejpam-6065	107	7	is	is	ADV
ejpam-6065	107	8	,	,	PUNCT
ejpam-6065	107	9	{	{	PUNCT
ejpam-6065	107	10	t	t	NOUN
ejpam-6065	107	11	}	}	PUNCT
ejpam-6065	107	12	is	be	AUX
ejpam-6065	107	13	not	not	PART
ejpam-6065	107	14	forcing	force	VERB
ejpam-6065	107	15	subset	subset	NOUN
ejpam-6065	107	16	for	for	ADP
ejpam-6065	107	17	another	another	DET
ejpam-6065	107	18	γcl	γcl	PROPN
ejpam-6065	107	19	-	-	PUNCT
ejpam-6065	107	20	set	set	NOUN
ejpam-6065	107	21	of	of	ADP
ejpam-6065	107	22	g.	g.	PROPN
ejpam-6065	107	23	thus	thus	ADV
ejpam-6065	107	24	,	,	PUNCT
ejpam-6065	107	25	there	there	PRON
ejpam-6065	107	26	exists	exist	VERB
ejpam-6065	107	27	a	a	DET
ejpam-6065	107	28	vertex	vertex	NOUN
ejpam-6065	107	29	t	t	X
ejpam-6065	107	30	∈	∈	PROPN
ejpam-6065	107	31	v	v	ADP
ejpam-6065	107	32	(	(	PUNCT
ejpam-6065	107	33	g	g	NOUN
ejpam-6065	107	34	)	)	PUNCT
ejpam-6065	107	35	which	which	PRON
ejpam-6065	107	36	is	be	AUX
ejpam-6065	107	37	contained	contain	VERB
ejpam-6065	107	38	in	in	ADP
ejpam-6065	107	39	exactly	exactly	ADV
ejpam-6065	107	40	one	one	NUM
ejpam-6065	107	41	γcl	γcl	NOUN
ejpam-6065	107	42	-	-	PUNCT
ejpam-6065	107	43	set	set	NOUN
ejpam-6065	107	44	of	of	ADP
ejpam-6065	107	45	g.	g.	NOUN
ejpam-6065	107	46	conversely	conversely	ADV
ejpam-6065	107	47	,	,	PUNCT
ejpam-6065	107	48	if	if	SCONJ
ejpam-6065	107	49	g	g	PROPN
ejpam-6065	107	50	has	have	VERB
ejpam-6065	107	51	no	no	DET
ejpam-6065	107	52	unique	unique	ADJ
ejpam-6065	107	53	γcl	γcl	NOUN
ejpam-6065	107	54	-	-	PUNCT
ejpam-6065	107	55	sets	set	NOUN
ejpam-6065	107	56	,	,	PUNCT
ejpam-6065	107	57	then	then	ADV
ejpam-6065	107	58	by	by	ADP
ejpam-6065	107	59	part	part	NOUN
ejpam-6065	107	60	(	(	PUNCT
ejpam-6065	107	61	i	i	NOUN
ejpam-6065	107	62	)	)	PUNCT
ejpam-6065	107	63	,	,	PUNCT
ejpam-6065	107	64	fγcl(g	fγcl(g	PROPN
ejpam-6065	107	65	)	)	PUNCT
ejpam-6065	107	66	≥	≥	NOUN
ejpam-6065	107	67	1	1	NUM
ejpam-6065	107	68	.	.	PUNCT
ejpam-6065	108	1	by	by	ADP
ejpam-6065	108	2	assumption	assumption	NOUN
ejpam-6065	108	3	,	,	PUNCT
ejpam-6065	108	4	there	there	PRON
ejpam-6065	108	5	exists	exist	VERB
ejpam-6065	108	6	a	a	DET
ejpam-6065	108	7	vertex	vertex	NOUN
ejpam-6065	108	8	,	,	PUNCT
ejpam-6065	108	9	say	say	VERB
ejpam-6065	108	10	c	c	NOUN
ejpam-6065	108	11	,	,	PUNCT
ejpam-6065	108	12	which	which	PRON
ejpam-6065	108	13	is	be	AUX
ejpam-6065	108	14	contained	contain	VERB
ejpam-6065	108	15	in	in	ADP
ejpam-6065	108	16	exactly	exactly	ADV
ejpam-6065	108	17	one	one	NUM
ejpam-6065	108	18	γcl	γcl	NOUN
ejpam-6065	108	19	-	-	PUNCT
ejpam-6065	108	20	set	set	NOUN
ejpam-6065	108	21	of	of	ADP
ejpam-6065	108	22	g	g	NOUN
ejpam-6065	108	23	,	,	PUNCT
ejpam-6065	108	24	say	say	VERB
ejpam-6065	108	25	c	c	X
ejpam-6065	108	26	,	,	PUNCT
ejpam-6065	108	27	that	that	ADV
ejpam-6065	108	28	is	is	ADV
ejpam-6065	108	29	,	,	PUNCT
ejpam-6065	108	30	{	{	PUNCT
ejpam-6065	108	31	c	c	X
ejpam-6065	108	32	}	}	PUNCT
ejpam-6065	108	33	is	be	AUX
ejpam-6065	108	34	a	a	DET
ejpam-6065	108	35	forcing	forcing	NOUN
ejpam-6065	108	36	subset	subset	NOUN
ejpam-6065	108	37	for	for	ADP
ejpam-6065	108	38	c.	c.	PROPN
ejpam-6065	108	39	therefore	therefore	ADV
ejpam-6065	108	40	,	,	PUNCT
ejpam-6065	108	41	fγcl(c	fγcl(c	NOUN
ejpam-6065	108	42	)	)	PUNCT
ejpam-6065	108	43	=	=	SYM
ejpam-6065	109	1	|{c}|	|{c}|	PUNCT
ejpam-6065	109	2	=	=	SYM
ejpam-6065	109	3	1	1	NUM
ejpam-6065	109	4	=	=	SYM
ejpam-6065	109	5	fγcl(g	fγcl(g	NOUN
ejpam-6065	109	6	)	)	PUNCT
ejpam-6065	109	7	.	.	PUNCT
ejpam-6065	110	1	(	(	PUNCT
ejpam-6065	110	2	iii	iii	X
ejpam-6065	110	3	)	)	PUNCT
ejpam-6065	110	4	suppose	suppose	VERB
ejpam-6065	110	5	that	that	SCONJ
ejpam-6065	110	6	fγcl(g	fγcl(g	NOUN
ejpam-6065	110	7	)	)	PUNCT
ejpam-6065	110	8	=	=	PUNCT
ejpam-6065	110	9	a	a	PRON
ejpam-6065	110	10	for	for	ADP
ejpam-6065	110	11	any	any	DET
ejpam-6065	110	12	integer	integer	NOUN
ejpam-6065	110	13	a	a	DET
ejpam-6065	110	14	such	such	ADJ
ejpam-6065	110	15	that	that	SCONJ
ejpam-6065	110	16	1	1	NUM
ejpam-6065	110	17	<	<	X
ejpam-6065	110	18	a	a	DET
ejpam-6065	110	19	<	<	X
ejpam-6065	110	20	γcl(g	γcl(g	PROPN
ejpam-6065	110	21	)	)	PUNCT
ejpam-6065	110	22	.	.	PUNCT
ejpam-6065	111	1	by	by	ADP
ejpam-6065	111	2	part	part	NOUN
ejpam-6065	111	3	(	(	PUNCT
ejpam-6065	111	4	i	i	NOUN
ejpam-6065	111	5	)	)	PUNCT
ejpam-6065	111	6	,	,	PUNCT
ejpam-6065	111	7	g	g	PROPN
ejpam-6065	111	8	has	have	VERB
ejpam-6065	111	9	no	no	DET
ejpam-6065	111	10	unique	unique	ADJ
ejpam-6065	111	11	γcl	γcl	NOUN
ejpam-6065	111	12	-	-	PUNCT
ejpam-6065	111	13	sets	set	NOUN
ejpam-6065	111	14	and	and	CCONJ
ejpam-6065	111	15	there	there	PRON
ejpam-6065	111	16	exists	exist	VERB
ejpam-6065	111	17	a	a	DET
ejpam-6065	111	18	unique	unique	ADJ
ejpam-6065	111	19	γcl	γcl	NOUN
ejpam-6065	111	20	-	-	PUNCT
ejpam-6065	111	21	set	set	NOUN
ejpam-6065	111	22	,	,	PUNCT
ejpam-6065	111	23	say	say	VERB
ejpam-6065	111	24	t	t	NOUN
ejpam-6065	111	25	,	,	PUNCT
ejpam-6065	111	26	and	and	CCONJ
ejpam-6065	111	27	|s|	|s|	PROPN
ejpam-6065	111	28	=	=	NOUN
ejpam-6065	111	29	a	a	DET
ejpam-6065	111	30	such	such	ADJ
ejpam-6065	111	31	that	that	DET
ejpam-6065	111	32	s	s	PART
ejpam-6065	111	33	is	be	AUX
ejpam-6065	111	34	a	a	DET
ejpam-6065	111	35	forcing	forcing	NOUN
ejpam-6065	111	36	subset	subset	NOUN
ejpam-6065	111	37	for	for	ADP
ejpam-6065	111	38	t	t	PROPN
ejpam-6065	111	39	and	and	CCONJ
ejpam-6065	111	40	fγcl(g	fγcl(g	NOUN
ejpam-6065	111	41	)	)	PUNCT
ejpam-6065	111	42	=	=	SYM
ejpam-6065	111	43	a	a	DET
ejpam-6065	111	44	=	=	PUNCT
ejpam-6065	111	45	|s|	|s|	NOUN
ejpam-6065	111	46	=	=	PUNCT
ejpam-6065	111	47	fγcl(t	fγcl(t	NOUN
ejpam-6065	111	48	)	)	PUNCT
ejpam-6065	111	49	.	.	PUNCT
ejpam-6065	112	1	hence	hence	ADV
ejpam-6065	112	2	,	,	PUNCT
ejpam-6065	112	3	a	a	PRON
ejpam-6065	112	4	is	be	AUX
ejpam-6065	112	5	the	the	DET
ejpam-6065	112	6	minimum	minimum	ADJ
ejpam-6065	112	7	number	number	NOUN
ejpam-6065	112	8	of	of	ADP
ejpam-6065	112	9	vertices	vertex	NOUN
ejpam-6065	112	10	which	which	PRON
ejpam-6065	112	11	are	be	AUX
ejpam-6065	112	12	contained	contain	VERB
ejpam-6065	112	13	in	in	ADP
ejpam-6065	112	14	exactly	exactly	ADV
ejpam-6065	112	15	one	one	NUM
ejpam-6065	112	16	γcl	γcl	NOUN
ejpam-6065	112	17	-	-	PUNCT
ejpam-6065	112	18	set	set	NOUN
ejpam-6065	112	19	of	of	ADP
ejpam-6065	112	20	g.	g.	NOUN
ejpam-6065	112	21	conversely	conversely	ADV
ejpam-6065	112	22	,	,	PUNCT
ejpam-6065	112	23	if	if	SCONJ
ejpam-6065	112	24	g	g	PROPN
ejpam-6065	112	25	has	have	VERB
ejpam-6065	112	26	no	no	DET
ejpam-6065	112	27	unique	unique	ADJ
ejpam-6065	112	28	γcl	γcl	NOUN
ejpam-6065	112	29	-	-	PUNCT
ejpam-6065	112	30	sets	set	NOUN
ejpam-6065	112	31	,	,	PUNCT
ejpam-6065	112	32	then	then	ADV
ejpam-6065	112	33	by	by	ADP
ejpam-6065	112	34	part	part	NOUN
ejpam-6065	112	35	(	(	PUNCT
ejpam-6065	112	36	i	i	NOUN
ejpam-6065	112	37	)	)	PUNCT
ejpam-6065	112	38	,	,	PUNCT
ejpam-6065	112	39	fγcl(g	fγcl(g	PROPN
ejpam-6065	112	40	)	)	PUNCT
ejpam-6065	112	41	≥	≥	NOUN
ejpam-6065	112	42	1	1	NUM
ejpam-6065	112	43	.	.	PUNCT
ejpam-6065	113	1	by	by	ADP
ejpam-6065	113	2	assumption	assumption	NOUN
ejpam-6065	113	3	,	,	PUNCT
ejpam-6065	113	4	there	there	PRON
ejpam-6065	113	5	exists	exist	VERB
ejpam-6065	113	6	a	a	DET
ejpam-6065	113	7	set	set	NOUN
ejpam-6065	113	8	s	s	VERB
ejpam-6065	113	9	such	such	ADJ
ejpam-6065	113	10	that	that	PRON
ejpam-6065	113	11	|s|	|s|	PROPN
ejpam-6065	113	12	=	=	SYM
ejpam-6065	113	13	a	a	PRON
ejpam-6065	113	14	>	>	X
ejpam-6065	113	15	1	1	NUM
ejpam-6065	113	16	,	,	PUNCT
ejpam-6065	113	17	s	s	VERB
ejpam-6065	113	18	is	be	AUX
ejpam-6065	113	19	contained	contain	VERB
ejpam-6065	113	20	in	in	ADP
ejpam-6065	113	21	exactly	exactly	ADV
ejpam-6065	113	22	one	one	NUM
ejpam-6065	113	23	γcl	γcl	NOUN
ejpam-6065	113	24	-	-	PUNCT
ejpam-6065	113	25	set	set	NOUN
ejpam-6065	113	26	of	of	ADP
ejpam-6065	113	27	g	g	NOUN
ejpam-6065	113	28	,	,	PUNCT
ejpam-6065	113	29	say	say	VERB
ejpam-6065	113	30	c	c	X
ejpam-6065	113	31	,	,	PUNCT
ejpam-6065	113	32	that	that	ADV
ejpam-6065	113	33	is	is	ADV
ejpam-6065	113	34	,	,	PUNCT
ejpam-6065	113	35	s	s	VERB
ejpam-6065	113	36	is	be	AUX
ejpam-6065	113	37	a	a	DET
ejpam-6065	113	38	forcing	forcing	NOUN
ejpam-6065	113	39	subset	subset	NOUN
ejpam-6065	113	40	for	for	ADP
ejpam-6065	113	41	c.	c.	NOUN
ejpam-6065	113	42	by	by	ADP
ejpam-6065	113	43	the	the	DET
ejpam-6065	113	44	minimality	minimality	NOUN
ejpam-6065	113	45	of	of	ADP
ejpam-6065	113	46	a	a	DET
ejpam-6065	113	47	,	,	PUNCT
ejpam-6065	113	48	a	a	DET
ejpam-6065	113	49	=	=	PUNCT
ejpam-6065	113	50	|s|	|s|	NOUN
ejpam-6065	113	51	=	=	PUNCT
ejpam-6065	113	52	fγcl(c	fγcl(c	NOUN
ejpam-6065	113	53	)	)	PUNCT
ejpam-6065	113	54	=	=	SYM
ejpam-6065	113	55	fγcl(g	fγcl(g	NOUN
ejpam-6065	113	56	)	)	PUNCT
ejpam-6065	113	57	.	.	PUNCT
ejpam-6065	114	1	the	the	DET
ejpam-6065	114	2	next	next	ADJ
ejpam-6065	114	3	two	two	NUM
ejpam-6065	114	4	results	result	NOUN
ejpam-6065	114	5	are	be	AUX
ejpam-6065	114	6	direct	direct	ADJ
ejpam-6065	114	7	consequences	consequence	NOUN
ejpam-6065	114	8	of	of	ADP
ejpam-6065	114	9	theorem	theorem	ADJ
ejpam-6065	114	10	3.1	3.1	NUM
ejpam-6065	114	11	and	and	CCONJ
ejpam-6065	114	12	definition	definition	NOUN
ejpam-6065	114	13	of	of	ADP
ejpam-6065	114	14	forcing	force	VERB
ejpam-6065	114	15	clique	clique	ADJ
ejpam-6065	114	16	domination	domination	NOUN
ejpam-6065	114	17	.	.	PUNCT
ejpam-6065	115	1	corollary	corollary	ADJ
ejpam-6065	115	2	3.2	3.2	NUM
ejpam-6065	115	3	.	.	PUNCT
ejpam-6065	116	1	let	let	VERB
ejpam-6065	116	2	g	g	PRON
ejpam-6065	116	3	be	be	AUX
ejpam-6065	116	4	a	a	DET
ejpam-6065	116	5	connected	connected	ADJ
ejpam-6065	116	6	graph	graph	NOUN
ejpam-6065	116	7	such	such	ADJ
ejpam-6065	116	8	that	that	SCONJ
ejpam-6065	116	9	g	g	PROPN
ejpam-6065	116	10	has	have	VERB
ejpam-6065	116	11	a	a	DET
ejpam-6065	116	12	clique	clique	ADJ
ejpam-6065	116	13	dominating	dominating	NOUN
ejpam-6065	116	14	set	set	NOUN
ejpam-6065	116	15	.	.	PUNCT
ejpam-6065	117	1	then	then	ADV
ejpam-6065	117	2	0	0	NUM
ejpam-6065	117	3	≤	≤	NUM
ejpam-6065	117	4	fγcl(g	fγcl(g	NOUN
ejpam-6065	117	5	)	)	PUNCT
ejpam-6065	117	6	≤	≤	NOUN
ejpam-6065	117	7	γcl(g	γcl(g	NUM
ejpam-6065	117	8	)	)	PUNCT
ejpam-6065	117	9	.	.	PUNCT
ejpam-6065	118	1	c.	c.	PROPN
ejpam-6065	118	2	l.	l.	PROPN
ejpam-6065	118	3	armada	armada	PROPN
ejpam-6065	118	4	et	et	PROPN
ejpam-6065	118	5	al	al	PROPN
ejpam-6065	118	6	.	.	PUNCT
ejpam-6065	118	7	/	/	SYM
ejpam-6065	118	8	eur	eur	PROPN
ejpam-6065	118	9	.	.	PUNCT
ejpam-6065	119	1	j.	j.	PROPN
ejpam-6065	119	2	pure	pure	PROPN
ejpam-6065	119	3	appl	appl	PROPN
ejpam-6065	119	4	.	.	PROPN
ejpam-6065	119	5	math	math	PROPN
ejpam-6065	119	6	,	,	PUNCT
ejpam-6065	119	7	18	18	NUM
ejpam-6065	119	8	(	(	PUNCT
ejpam-6065	119	9	2	2	NUM
ejpam-6065	119	10	)	)	PUNCT
ejpam-6065	119	11	(	(	PUNCT
ejpam-6065	119	12	2025	2025	NUM
ejpam-6065	119	13	)	)	PUNCT
ejpam-6065	119	14	,	,	PUNCT
ejpam-6065	119	15	6065	6065	NUM
ejpam-6065	119	16	7	7	NUM
ejpam-6065	119	17	of	of	ADP
ejpam-6065	119	18	14	14	NUM
ejpam-6065	119	19	theorem	theorem	VERB
ejpam-6065	119	20	3.3	3.3	NUM
ejpam-6065	119	21	.	.	PUNCT
ejpam-6065	120	1	let	let	VERB
ejpam-6065	120	2	g	g	PRON
ejpam-6065	120	3	be	be	AUX
ejpam-6065	120	4	a	a	DET
ejpam-6065	120	5	connected	connected	ADJ
ejpam-6065	120	6	graph	graph	NOUN
ejpam-6065	120	7	such	such	ADJ
ejpam-6065	120	8	that	that	SCONJ
ejpam-6065	120	9	g	g	PROPN
ejpam-6065	120	10	has	have	VERB
ejpam-6065	120	11	a	a	DET
ejpam-6065	120	12	clique	clique	ADJ
ejpam-6065	120	13	dominating	dominating	NOUN
ejpam-6065	120	14	set	set	NOUN
ejpam-6065	120	15	.	.	PUNCT
ejpam-6065	121	1	then	then	ADV
ejpam-6065	121	2	fγcl(g	fγcl(g	ADJ
ejpam-6065	121	3	)	)	PUNCT
ejpam-6065	121	4	=	=	SYM
ejpam-6065	121	5	γcl(g	γcl(g	X
ejpam-6065	121	6	)	)	PUNCT
ejpam-6065	121	7	if	if	SCONJ
ejpam-6065	121	8	and	and	CCONJ
ejpam-6065	121	9	only	only	ADV
ejpam-6065	121	10	if	if	SCONJ
ejpam-6065	121	11	for	for	ADP
ejpam-6065	121	12	every	every	DET
ejpam-6065	121	13	γcl	γcl	PROPN
ejpam-6065	121	14	-	-	PUNCT
ejpam-6065	121	15	set	set	NOUN
ejpam-6065	121	16	of	of	ADP
ejpam-6065	121	17	c	c	PROPN
ejpam-6065	121	18	of	of	ADP
ejpam-6065	121	19	g	g	PROPN
ejpam-6065	121	20	and	and	CCONJ
ejpam-6065	121	21	for	for	ADP
ejpam-6065	121	22	each	each	DET
ejpam-6065	121	23	vertex	vertex	NOUN
ejpam-6065	121	24	t	t	X
ejpam-6065	121	25	∈	∈	PROPN
ejpam-6065	122	1	c	c	X
ejpam-6065	122	2	,	,	PUNCT
ejpam-6065	122	3	there	there	PRON
ejpam-6065	122	4	exist	exist	VERB
ejpam-6065	122	5	a	a	DET
ejpam-6065	122	6	vertex	vertex	NOUN
ejpam-6065	122	7	u	u	NOUN
ejpam-6065	122	8	∈	∈	PROPN
ejpam-6065	122	9	v	v	NOUN
ejpam-6065	122	10	(	(	PUNCT
ejpam-6065	122	11	g)\c	g)\c	VERB
ejpam-6065	122	12	such	such	ADJ
ejpam-6065	122	13	that	that	SCONJ
ejpam-6065	122	14	{	{	PUNCT
ejpam-6065	122	15	u	u	NOUN
ejpam-6065	122	16	}	}	PUNCT
ejpam-6065	122	17	∪	∪	ADP
ejpam-6065	122	18	[	[	X
ejpam-6065	122	19	c\{t	c\{t	X
ejpam-6065	122	20	}	}	PUNCT
ejpam-6065	122	21	]	]	PUNCT
ejpam-6065	122	22	is	be	AUX
ejpam-6065	122	23	a	a	DET
ejpam-6065	122	24	γcl	γcl	NOUN
ejpam-6065	122	25	-	-	PUNCT
ejpam-6065	122	26	set	set	NOUN
ejpam-6065	122	27	of	of	ADP
ejpam-6065	122	28	g.	g.	PROPN
ejpam-6065	122	29	proof	proof	PROPN
ejpam-6065	122	30	:	:	PUNCT
ejpam-6065	122	31	suppose	suppose	VERB
ejpam-6065	122	32	that	that	SCONJ
ejpam-6065	122	33	fγcl(g	fγcl(g	NOUN
ejpam-6065	122	34	)	)	PUNCT
ejpam-6065	122	35	=	=	SYM
ejpam-6065	122	36	γcl(g	γcl(g	PROPN
ejpam-6065	122	37	)	)	PUNCT
ejpam-6065	122	38	.	.	PUNCT
ejpam-6065	123	1	let	let	VERB
ejpam-6065	123	2	c	c	PRON
ejpam-6065	123	3	be	be	AUX
ejpam-6065	123	4	a	a	DET
ejpam-6065	123	5	γcl	γcl	NOUN
ejpam-6065	123	6	-	-	PUNCT
ejpam-6065	123	7	set	set	NOUN
ejpam-6065	123	8	of	of	ADP
ejpam-6065	123	9	g	g	NOUN
ejpam-6065	123	10	such	such	ADJ
ejpam-6065	123	11	that	that	DET
ejpam-6065	123	12	fγcl(g	fγcl(g	NOUN
ejpam-6065	123	13	)	)	PUNCT
ejpam-6065	123	14	=	=	SYM
ejpam-6065	123	15	|c|	|c|	PROPN
ejpam-6065	123	16	=	=	SYM
ejpam-6065	123	17	γcl(g	γcl(g	PROPN
ejpam-6065	123	18	)	)	PUNCT
ejpam-6065	123	19	,	,	PUNCT
ejpam-6065	123	20	that	that	ADV
ejpam-6065	123	21	is	is	ADV
ejpam-6065	123	22	,	,	PUNCT
ejpam-6065	123	23	c	c	PROPN
ejpam-6065	123	24	is	be	AUX
ejpam-6065	123	25	the	the	DET
ejpam-6065	123	26	only	only	ADJ
ejpam-6065	123	27	forcing	forcing	NOUN
ejpam-6065	123	28	subset	subset	NOUN
ejpam-6065	123	29	for	for	ADP
ejpam-6065	123	30	c.	c.	NOUN
ejpam-6065	123	31	let	let	VERB
ejpam-6065	123	32	t	t	PROPN
ejpam-6065	123	33	∈	∈	PROPN
ejpam-6065	123	34	c.	c.	PROPN
ejpam-6065	123	35	since	since	SCONJ
ejpam-6065	123	36	c\{t	c\{t	NOUN
ejpam-6065	123	37	}	}	PUNCT
ejpam-6065	123	38	is	be	AUX
ejpam-6065	123	39	not	not	PART
ejpam-6065	123	40	a	a	DET
ejpam-6065	123	41	forcing	forcing	NOUN
ejpam-6065	123	42	subset	subset	NOUN
ejpam-6065	123	43	for	for	ADP
ejpam-6065	123	44	c	c	PROPN
ejpam-6065	123	45	,	,	PUNCT
ejpam-6065	123	46	there	there	PRON
ejpam-6065	123	47	exists	exist	VERB
ejpam-6065	123	48	a	a	DET
ejpam-6065	123	49	u	u	NOUN
ejpam-6065	123	50	∈	∈	PROPN
ejpam-6065	123	51	v	v	NOUN
ejpam-6065	123	52	(	(	PUNCT
ejpam-6065	123	53	g)\c	g)\c	VERB
ejpam-6065	123	54	such	such	ADJ
ejpam-6065	123	55	that{u	that{u	ADJ
ejpam-6065	123	56	}	}	PUNCT
ejpam-6065	123	57	∪	∪	ADP
ejpam-6065	123	58	[	[	X
ejpam-6065	123	59	c\{t	c\{t	X
ejpam-6065	123	60	}	}	PUNCT
ejpam-6065	123	61	]	]	PUNCT
ejpam-6065	123	62	is	be	AUX
ejpam-6065	123	63	a	a	DET
ejpam-6065	123	64	γcl	γcl	NOUN
ejpam-6065	123	65	-	-	PUNCT
ejpam-6065	123	66	set	set	NOUN
ejpam-6065	123	67	of	of	ADP
ejpam-6065	123	68	g.	g.	NOUN
ejpam-6065	123	69	conversely	conversely	ADV
ejpam-6065	123	70	,	,	PUNCT
ejpam-6065	123	71	suppose	suppose	VERB
ejpam-6065	123	72	that	that	SCONJ
ejpam-6065	123	73	everyγcl	everyγcl	NOUN
ejpam-6065	123	74	-	-	PUNCT
ejpam-6065	123	75	set	set	VERB
ejpam-6065	123	76	c	c	NOUN
ejpam-6065	123	77	′	′	NUM
ejpam-6065	123	78	of	of	ADP
ejpam-6065	123	79	g	g	PROPN
ejpam-6065	123	80	satisfies	satisfy	VERB
ejpam-6065	123	81	the	the	DET
ejpam-6065	123	82	given	give	VERB
ejpam-6065	123	83	condition	condition	NOUN
ejpam-6065	123	84	.	.	PUNCT
ejpam-6065	124	1	let	let	VERB
ejpam-6065	124	2	c	c	PRON
ejpam-6065	124	3	be	be	AUX
ejpam-6065	124	4	a	a	DET
ejpam-6065	124	5	γcl	γcl	NOUN
ejpam-6065	124	6	-	-	PUNCT
ejpam-6065	124	7	set	set	NOUN
ejpam-6065	124	8	of	of	ADP
ejpam-6065	124	9	g	g	NOUN
ejpam-6065	124	10	such	such	ADJ
ejpam-6065	124	11	that	that	DET
ejpam-6065	124	12	fγcl(g	fγcl(g	NOUN
ejpam-6065	124	13	)	)	PUNCT
ejpam-6065	124	14	=	=	SYM
ejpam-6065	124	15	fγcl(c	fγcl(c	NOUN
ejpam-6065	124	16	)	)	PUNCT
ejpam-6065	124	17	and	and	CCONJ
ejpam-6065	124	18	|c|	|c|	PROPN
ejpam-6065	124	19	=	=	SYM
ejpam-6065	124	20	γcl(g	γcl(g	PROPN
ejpam-6065	124	21	)	)	PUNCT
ejpam-6065	124	22	.	.	PUNCT
ejpam-6065	125	1	moreover	moreover	ADV
ejpam-6065	125	2	,	,	PUNCT
ejpam-6065	125	3	suppose	suppose	VERB
ejpam-6065	125	4	that	that	SCONJ
ejpam-6065	125	5	c	c	PROPN
ejpam-6065	125	6	has	have	VERB
ejpam-6065	125	7	a	a	DET
ejpam-6065	125	8	forcing	force	VERB
ejpam-6065	125	9	subset	subset	NOUN
ejpam-6065	125	10	d	d	NOUN
ejpam-6065	125	11	with	with	ADP
ejpam-6065	125	12	|d|	|d|	PROPN
ejpam-6065	125	13	<	<	X
ejpam-6065	125	14	|c|	|c|	PROPN
ejpam-6065	125	15	,	,	PUNCT
ejpam-6065	125	16	that	that	ADV
ejpam-6065	125	17	is	is	ADV
ejpam-6065	125	18	,	,	PUNCT
ejpam-6065	125	19	c	c	X
ejpam-6065	125	20	=	=	SYM
ejpam-6065	125	21	d	d	X
ejpam-6065	125	22	∪	∪	ADP
ejpam-6065	125	23	a	a	PRON
ejpam-6065	125	24	,	,	PUNCT
ejpam-6065	125	25	where	where	SCONJ
ejpam-6065	125	26	a	a	PRON
ejpam-6065	125	27	=	=	SYM
ejpam-6065	125	28	{	{	PUNCT
ejpam-6065	125	29	t	t	NOUN
ejpam-6065	125	30	∈	∈	PROPN
ejpam-6065	125	31	c	c	PROPN
ejpam-6065	125	32	:	:	PUNCT
ejpam-6065	125	33	t	t	X
ejpam-6065	125	34	/∈	/∈	PUNCT
ejpam-6065	126	1	d	d	X
ejpam-6065	126	2	}	}	PUNCT
ejpam-6065	126	3	.	.	PUNCT
ejpam-6065	127	1	pick	pick	VERB
ejpam-6065	127	2	t	t	PROPN
ejpam-6065	127	3	∈	∈	PROPN
ejpam-6065	127	4	a.	a.	NOUN
ejpam-6065	127	5	by	by	ADP
ejpam-6065	127	6	assumption	assumption	NOUN
ejpam-6065	127	7	,	,	PUNCT
ejpam-6065	127	8	there	there	PRON
ejpam-6065	127	9	exists	exist	VERB
ejpam-6065	127	10	u	u	PROPN
ejpam-6065	127	11	∈	∈	PROPN
ejpam-6065	127	12	v	v	NOUN
ejpam-6065	127	13	(	(	PUNCT
ejpam-6065	127	14	g)\c	g)\c	VERB
ejpam-6065	127	15	such	such	ADJ
ejpam-6065	127	16	that	that	SCONJ
ejpam-6065	127	17	{	{	PUNCT
ejpam-6065	127	18	u	u	NOUN
ejpam-6065	127	19	}	}	PUNCT
ejpam-6065	127	20	∪	∪	ADP
ejpam-6065	127	21	[	[	X
ejpam-6065	127	22	c\{t	c\{t	NOUN
ejpam-6065	127	23	}	}	PUNCT
ejpam-6065	127	24	]	]	PUNCT
ejpam-6065	128	1	=	=	SYM
ejpam-6065	128	2	b	b	PROPN
ejpam-6065	128	3	is	be	AUX
ejpam-6065	128	4	a	a	DET
ejpam-6065	128	5	γcl	γcl	NOUN
ejpam-6065	128	6	-	-	PUNCT
ejpam-6065	128	7	set	set	NOUN
ejpam-6065	128	8	of	of	ADP
ejpam-6065	128	9	g.	g.	PROPN
ejpam-6065	128	10	thus	thus	ADV
ejpam-6065	128	11	,	,	PUNCT
ejpam-6065	128	12	b	b	X
ejpam-6065	128	13	=	=	SYM
ejpam-6065	128	14	d	d	PROPN
ejpam-6065	128	15	∪e	∪e	PROPN
ejpam-6065	128	16	,	,	PUNCT
ejpam-6065	128	17	where	where	SCONJ
ejpam-6065	128	18	e	e	NOUN
ejpam-6065	128	19	=	=	PRON
ejpam-6065	128	20	{	{	PUNCT
ejpam-6065	128	21	u	u	NOUN
ejpam-6065	128	22	}	}	PUNCT
ejpam-6065	128	23	∪	∪	ADP
ejpam-6065	128	24	[	[	X
ejpam-6065	128	25	a\{t	a\{t	ADP
ejpam-6065	128	26	}	}	PUNCT
ejpam-6065	128	27	]	]	PUNCT
ejpam-6065	128	28	,	,	PUNCT
ejpam-6065	128	29	that	that	ADV
ejpam-6065	128	30	is	is	ADV
ejpam-6065	128	31	,	,	PUNCT
ejpam-6065	128	32	b	b	PROPN
ejpam-6065	128	33	is	be	AUX
ejpam-6065	128	34	a	a	DET
ejpam-6065	128	35	γcl	γcl	PROPN
ejpam-6065	128	36	-	-	PUNCT
ejpam-6065	128	37	set	set	VERB
ejpam-6065	128	38	containing	contain	VERB
ejpam-6065	128	39	d	d	PROPN
ejpam-6065	128	40	,	,	PUNCT
ejpam-6065	128	41	a	a	DET
ejpam-6065	128	42	contradiction	contradiction	NOUN
ejpam-6065	128	43	.	.	PUNCT
ejpam-6065	129	1	thus	thus	ADV
ejpam-6065	129	2	,	,	PUNCT
ejpam-6065	129	3	|d|	|d|	PROPN
ejpam-6065	129	4	=	=	SYM
ejpam-6065	129	5	|c|	|c|	PROPN
ejpam-6065	129	6	and	and	CCONJ
ejpam-6065	129	7	|c|	|c|	PROPN
ejpam-6065	129	8	is	be	AUX
ejpam-6065	129	9	the	the	DET
ejpam-6065	129	10	only	only	ADJ
ejpam-6065	129	11	forcing	forcing	NOUN
ejpam-6065	129	12	subset	subset	NOUN
ejpam-6065	129	13	for	for	ADP
ejpam-6065	129	14	|c|	|c|	PROPN
ejpam-6065	129	15	.	.	PUNCT
ejpam-6065	130	1	therefore	therefore	ADV
ejpam-6065	130	2	,	,	PUNCT
ejpam-6065	130	3	fγcl(g	fγcl(g	NOUN
ejpam-6065	130	4	)	)	PUNCT
ejpam-6065	130	5	=	=	SYM
ejpam-6065	130	6	fγcl(c	fγcl(c	NOUN
ejpam-6065	130	7	)	)	PUNCT
ejpam-6065	130	8	=	=	SYM
ejpam-6065	130	9	|c|	|c|	PROPN
ejpam-6065	130	10	=	=	SYM
ejpam-6065	130	11	γcl(g	γcl(g	PROPN
ejpam-6065	130	12	)	)	PUNCT
ejpam-6065	130	13	.	.	PUNCT
ejpam-6065	131	1	the	the	DET
ejpam-6065	131	2	next	next	ADJ
ejpam-6065	131	3	result	result	NOUN
ejpam-6065	131	4	is	be	AUX
ejpam-6065	131	5	a	a	DET
ejpam-6065	131	6	restatement	restatement	NOUN
ejpam-6065	131	7	of	of	ADP
ejpam-6065	131	8	theorem	theorem	ADJ
ejpam-6065	131	9	3.3	3.3	NUM
ejpam-6065	131	10	.	.	PUNCT
ejpam-6065	132	1	remark	remark	VERB
ejpam-6065	132	2	3.4	3.4	NUM
ejpam-6065	132	3	.	.	PUNCT
ejpam-6065	133	1	let	let	VERB
ejpam-6065	133	2	g	g	PRON
ejpam-6065	133	3	be	be	AUX
ejpam-6065	133	4	a	a	DET
ejpam-6065	133	5	connected	connected	ADJ
ejpam-6065	133	6	graph	graph	NOUN
ejpam-6065	133	7	such	such	ADJ
ejpam-6065	133	8	that	that	SCONJ
ejpam-6065	133	9	g	g	PROPN
ejpam-6065	133	10	has	have	VERB
ejpam-6065	133	11	a	a	DET
ejpam-6065	133	12	clique	clique	ADJ
ejpam-6065	133	13	dominating	dominating	NOUN
ejpam-6065	133	14	set	set	NOUN
ejpam-6065	133	15	.	.	PUNCT
ejpam-6065	134	1	then	then	ADV
ejpam-6065	134	2	fγcl(g	fγcl(g	ADJ
ejpam-6065	134	3	)	)	PUNCT
ejpam-6065	134	4	=	=	SYM
ejpam-6065	134	5	γcl(g	γcl(g	X
ejpam-6065	134	6	)	)	PUNCT
ejpam-6065	135	1	if	if	SCONJ
ejpam-6065	135	2	and	and	CCONJ
ejpam-6065	135	3	only	only	ADV
ejpam-6065	135	4	if	if	SCONJ
ejpam-6065	135	5	every	every	DET
ejpam-6065	135	6	vertex	vertex	NOUN
ejpam-6065	135	7	in	in	ADP
ejpam-6065	135	8	a	a	DET
ejpam-6065	135	9	γcl	γcl	NOUN
ejpam-6065	135	10	-	-	PUNCT
ejpam-6065	135	11	set	set	VERB
ejpam-6065	135	12	c	c	NOUN
ejpam-6065	135	13	of	of	ADP
ejpam-6065	135	14	g	g	PROPN
ejpam-6065	135	15	can	can	AUX
ejpam-6065	135	16	be	be	AUX
ejpam-6065	135	17	replaced	replace	VERB
ejpam-6065	135	18	by	by	ADP
ejpam-6065	135	19	another	another	DET
ejpam-6065	135	20	vertex	vertex	NOUN
ejpam-6065	135	21	in	in	ADP
ejpam-6065	135	22	v	v	NOUN
ejpam-6065	135	23	(	(	PUNCT
ejpam-6065	135	24	g)\c	g)\c	VERB
ejpam-6065	135	25	to	to	PART
ejpam-6065	135	26	form	form	VERB
ejpam-6065	135	27	another	another	DET
ejpam-6065	135	28	γcl	γcl	PROPN
ejpam-6065	135	29	-	-	PUNCT
ejpam-6065	135	30	set	set	NOUN
ejpam-6065	135	31	of	of	ADP
ejpam-6065	135	32	g.	g.	PROPN
ejpam-6065	135	33	proposition	proposition	PROPN
ejpam-6065	135	34	3.5	3.5	NUM
ejpam-6065	135	35	.	.	PUNCT
ejpam-6065	136	1	let	let	VERB
ejpam-6065	136	2	n	n	PRON
ejpam-6065	136	3	be	be	AUX
ejpam-6065	136	4	a	a	DET
ejpam-6065	136	5	positive	positive	ADJ
ejpam-6065	136	6	integer	integer	NOUN
ejpam-6065	136	7	with	with	ADP
ejpam-6065	136	8	n	n	PRON
ejpam-6065	136	9	≥	≥	NUM
ejpam-6065	136	10	1	1	NUM
ejpam-6065	136	11	.	.	PUNCT
ejpam-6065	137	1	then	then	ADV
ejpam-6065	137	2	the	the	DET
ejpam-6065	137	3	clique	clique	ADJ
ejpam-6065	137	4	domination	domination	NOUN
ejpam-6065	137	5	number	number	NOUN
ejpam-6065	137	6	of	of	ADP
ejpam-6065	137	7	a	a	DET
ejpam-6065	137	8	path	path	NOUN
ejpam-6065	137	9	pn	pn	NOUN
ejpam-6065	137	10	and	and	CCONJ
ejpam-6065	137	11	its	its	PRON
ejpam-6065	137	12	forcing	force	VERB
ejpam-6065	137	13	clique	clique	NOUN
ejpam-6065	137	14	domination	domination	NOUN
ejpam-6065	137	15	number	number	NOUN
ejpam-6065	137	16	are	be	AUX
ejpam-6065	137	17	given	give	VERB
ejpam-6065	137	18	by	by	ADP
ejpam-6065	137	19	γcl(pn	γcl(pn	NOUN
ejpam-6065	137	20	)	)	PUNCT
ejpam-6065	137	21	=	=	NOUN
ejpam-6065	137	22	{	{	PUNCT
ejpam-6065	137	23	1	1	NUM
ejpam-6065	137	24	,	,	PUNCT
ejpam-6065	137	25	n	n	CCONJ
ejpam-6065	137	26	<	<	X
ejpam-6065	137	27	4	4	NUM
ejpam-6065	137	28	2	2	NUM
ejpam-6065	137	29	,	,	PUNCT
ejpam-6065	137	30	n	n	NOUN
ejpam-6065	137	31	=	=	SYM
ejpam-6065	137	32	4	4	NUM
ejpam-6065	137	33	and	and	CCONJ
ejpam-6065	137	34	fγcl(pn	fγcl(pn	ADJ
ejpam-6065	137	35	)	)	PUNCT
ejpam-6065	137	36	=	=	NOUN
ejpam-6065	137	37	{	{	PUNCT
ejpam-6065	137	38	0	0	NUM
ejpam-6065	137	39	,	,	PUNCT
ejpam-6065	137	40	n	n	NOUN
ejpam-6065	137	41	=	=	SYM
ejpam-6065	137	42	1	1	NUM
ejpam-6065	137	43	,	,	PUNCT
ejpam-6065	137	44	3	3	NUM
ejpam-6065	137	45	,	,	PUNCT
ejpam-6065	137	46	4	4	NUM
ejpam-6065	137	47	1	1	NUM
ejpam-6065	137	48	,	,	PUNCT
ejpam-6065	137	49	n	n	NOUN
ejpam-6065	137	50	=	=	SYM
ejpam-6065	137	51	2	2	NUM
ejpam-6065	137	52	.	.	PUNCT
ejpam-6065	138	1	for	for	ADP
ejpam-6065	138	2	n	n	X
ejpam-6065	138	3	≥	≥	NUM
ejpam-6065	138	4	5	5	NUM
ejpam-6065	138	5	,	,	PUNCT
ejpam-6065	138	6	the	the	DET
ejpam-6065	138	7	path	path	NOUN
ejpam-6065	138	8	pn	pn	PROPN
ejpam-6065	138	9	is	be	AUX
ejpam-6065	138	10	non−γcl−graph	non−γcl−graph	PROPN
ejpam-6065	138	11	,	,	PUNCT
ejpam-6065	138	12	and	and	CCONJ
ejpam-6065	138	13	both	both	DET
ejpam-6065	138	14	γcl(pn	γcl(pn	NOUN
ejpam-6065	138	15	)	)	PUNCT
ejpam-6065	138	16	and	and	CCONJ
ejpam-6065	138	17	fγcl(pn	fγcl(pn	NOUN
ejpam-6065	138	18	)	)	PUNCT
ejpam-6065	138	19	are	be	AUX
ejpam-6065	138	20	undefined	undefined	ADJ
ejpam-6065	138	21	.	.	PUNCT
ejpam-6065	139	1	proof	proof	NOUN
ejpam-6065	139	2	:	:	PUNCT
ejpam-6065	139	3	let	let	VERB
ejpam-6065	139	4	v	v	X
ejpam-6065	139	5	(	(	PUNCT
ejpam-6065	139	6	pn	pn	NOUN
ejpam-6065	139	7	)	)	PUNCT
ejpam-6065	139	8	=	=	SYM
ejpam-6065	139	9	{	{	PUNCT
ejpam-6065	139	10	u1	u1	NOUN
ejpam-6065	139	11	,	,	PUNCT
ejpam-6065	139	12	u2	u2	NOUN
ejpam-6065	139	13	,	,	PUNCT
ejpam-6065	139	14	.	.	PUNCT
ejpam-6065	139	15	.	.	PUNCT
ejpam-6065	139	16	.	.	PUNCT
ejpam-6065	140	1	,	,	PUNCT
ejpam-6065	140	2	un	un	PROPN
ejpam-6065	140	3	}	}	PUNCT
ejpam-6065	140	4	.	.	PUNCT
ejpam-6065	141	1	consider	consider	VERB
ejpam-6065	141	2	the	the	DET
ejpam-6065	141	3	following	follow	VERB
ejpam-6065	141	4	cases	case	NOUN
ejpam-6065	141	5	:	:	PUNCT
ejpam-6065	141	6	case	case	NOUN
ejpam-6065	141	7	1	1	X
ejpam-6065	141	8	.	.	PUNCT
ejpam-6065	142	1	let	let	VERB
ejpam-6065	142	2	n	n	NOUN
ejpam-6065	142	3	=	=	SYM
ejpam-6065	142	4	1	1	X
ejpam-6065	142	5	.	.	PUNCT
ejpam-6065	143	1	clearly	clearly	ADV
ejpam-6065	143	2	,	,	PUNCT
ejpam-6065	143	3	{	{	PUNCT
ejpam-6065	143	4	u1	u1	NOUN
ejpam-6065	143	5	}	}	PUNCT
ejpam-6065	143	6	is	be	AUX
ejpam-6065	143	7	the	the	DET
ejpam-6065	143	8	only	only	ADJ
ejpam-6065	143	9	minimum	minimum	ADJ
ejpam-6065	143	10	clique	clique	NOUN
ejpam-6065	143	11	dominating	dominating	NOUN
ejpam-6065	143	12	set	set	NOUN
ejpam-6065	143	13	of	of	ADP
ejpam-6065	143	14	p1	p1	PROPN
ejpam-6065	143	15	.	.	PUNCT
ejpam-6065	144	1	thus	thus	ADV
ejpam-6065	144	2	,	,	PUNCT
ejpam-6065	144	3	γcl(p1	γcl(p1	PROPN
ejpam-6065	144	4	)	)	PUNCT
ejpam-6065	144	5	=	=	SYM
ejpam-6065	144	6	1	1	NUM
ejpam-6065	144	7	and	and	CCONJ
ejpam-6065	144	8	fγcl(p1	fγcl(p1	NOUN
ejpam-6065	144	9	)	)	PUNCT
ejpam-6065	145	1	=	=	SYM
ejpam-6065	145	2	0	0	NUM
ejpam-6065	145	3	by	by	ADP
ejpam-6065	145	4	theorem	theorem	ADJ
ejpam-6065	145	5	3.1	3.1	NUM
ejpam-6065	145	6	(	(	PUNCT
ejpam-6065	145	7	i	i	NOUN
ejpam-6065	145	8	)	)	PUNCT
ejpam-6065	145	9	.	.	PUNCT
ejpam-6065	146	1	case	case	NOUN
ejpam-6065	146	2	2	2	X
ejpam-6065	146	3	.	.	PUNCT
ejpam-6065	147	1	let	let	VERB
ejpam-6065	147	2	n	n	NOUN
ejpam-6065	147	3	=	=	SYM
ejpam-6065	147	4	2	2	X
ejpam-6065	147	5	.	.	PUNCT
ejpam-6065	147	6	by	by	ADP
ejpam-6065	147	7	proposition	proposition	NOUN
ejpam-6065	147	8	2.1	2.1	NUM
ejpam-6065	147	9	,	,	PUNCT
ejpam-6065	147	10	γ(p2	γ(p2	ADJ
ejpam-6065	147	11	)	)	PUNCT
ejpam-6065	148	1	=	=	SYM
ejpam-6065	148	2	⌈23⌉	⌈23⌉	NOUN
ejpam-6065	148	3	=	=	NOUN
ejpam-6065	148	4	1	1	NUM
ejpam-6065	148	5	and	and	CCONJ
ejpam-6065	148	6	by	by	ADP
ejpam-6065	148	7	theorem	theorem	NOUN
ejpam-6065	148	8	2.3	2.3	NUM
ejpam-6065	148	9	,	,	PUNCT
ejpam-6065	148	10	γcl(p2	γcl(p2	ADJ
ejpam-6065	148	11	)	)	PUNCT
ejpam-6065	148	12	=	=	SYM
ejpam-6065	149	1	1	1	X
ejpam-6065	149	2	.	.	PUNCT
ejpam-6065	149	3	clearly	clearly	ADV
ejpam-6065	149	4	,	,	PUNCT
ejpam-6065	149	5	s1	s1	PROPN
ejpam-6065	149	6	=	=	SYM
ejpam-6065	149	7	{	{	PUNCT
ejpam-6065	149	8	u1	u1	NOUN
ejpam-6065	149	9	}	}	PUNCT
ejpam-6065	149	10	and	and	CCONJ
ejpam-6065	149	11	s2	s2	VERB
ejpam-6065	149	12	=	=	SYM
ejpam-6065	149	13	{	{	PUNCT
ejpam-6065	149	14	u2	u2	NOUN
ejpam-6065	149	15	}	}	PUNCT
ejpam-6065	149	16	are	be	AUX
ejpam-6065	149	17	the	the	DET
ejpam-6065	149	18	γcl	γcl	NOUN
ejpam-6065	149	19	-	-	PUNCT
ejpam-6065	149	20	sets	set	NOUN
ejpam-6065	149	21	of	of	ADP
ejpam-6065	149	22	p2	p2	NOUN
ejpam-6065	149	23	,	,	PUNCT
ejpam-6065	149	24	that	that	ADV
ejpam-6065	149	25	is	is	ADV
ejpam-6065	149	26	,	,	PUNCT
ejpam-6065	149	27	the	the	DET
ejpam-6065	149	28	vertex	vertex	NOUN
ejpam-6065	149	29	u1	u1	NOUN
ejpam-6065	149	30	is	be	AUX
ejpam-6065	149	31	contained	contain	VERB
ejpam-6065	149	32	in	in	ADP
ejpam-6065	149	33	s1	s1	NOUN
ejpam-6065	149	34	only	only	ADV
ejpam-6065	149	35	.	.	PUNCT
ejpam-6065	150	1	thus	thus	ADV
ejpam-6065	150	2	,	,	PUNCT
ejpam-6065	150	3	fγcl(p2	fγcl(p2	ADJ
ejpam-6065	150	4	)	)	PUNCT
ejpam-6065	150	5	=	=	SYM
ejpam-6065	150	6	1	1	NUM
ejpam-6065	150	7	by	by	ADP
ejpam-6065	150	8	theorem	theorem	ADJ
ejpam-6065	150	9	3.1	3.1	NUM
ejpam-6065	150	10	(	(	PUNCT
ejpam-6065	150	11	ii	ii	NOUN
ejpam-6065	150	12	)	)	PUNCT
ejpam-6065	150	13	.	.	PUNCT
ejpam-6065	151	1	case	case	NOUN
ejpam-6065	151	2	3	3	X
ejpam-6065	151	3	.	.	PUNCT
ejpam-6065	152	1	let	let	VERB
ejpam-6065	152	2	n	n	NOUN
ejpam-6065	152	3	=	=	SYM
ejpam-6065	152	4	3	3	X
ejpam-6065	152	5	.	.	PUNCT
ejpam-6065	152	6	by	by	ADP
ejpam-6065	152	7	proposition	proposition	NOUN
ejpam-6065	152	8	2.1	2.1	NUM
ejpam-6065	152	9	,	,	PUNCT
ejpam-6065	152	10	γ(p3	γ(p3	NUM
ejpam-6065	152	11	)	)	PUNCT
ejpam-6065	153	1	=	=	PUNCT
ejpam-6065	153	2	⌈33⌉	⌈33⌉	VERB
ejpam-6065	153	3	=	=	NOUN
ejpam-6065	153	4	1	1	NUM
ejpam-6065	153	5	and	and	CCONJ
ejpam-6065	153	6	by	by	ADP
ejpam-6065	153	7	theorem	theorem	ADJ
ejpam-6065	153	8	2.3	2.3	NUM
ejpam-6065	153	9	,	,	PUNCT
ejpam-6065	153	10	γcl(p3	γcl(p3	PROPN
ejpam-6065	153	11	)	)	PUNCT
ejpam-6065	154	1	=	=	SYM
ejpam-6065	154	2	1	1	X
ejpam-6065	154	3	.	.	PUNCT
ejpam-6065	154	4	clearly	clearly	ADV
ejpam-6065	154	5	,	,	PUNCT
ejpam-6065	154	6	{	{	PUNCT
ejpam-6065	154	7	u2	u2	NOUN
ejpam-6065	154	8	}	}	PUNCT
ejpam-6065	154	9	is	be	AUX
ejpam-6065	154	10	the	the	DET
ejpam-6065	154	11	only	only	ADJ
ejpam-6065	154	12	γcl	γcl	NOUN
ejpam-6065	154	13	-	-	PUNCT
ejpam-6065	154	14	set	set	NOUN
ejpam-6065	154	15	of	of	ADP
ejpam-6065	154	16	p3	p3	PROPN
ejpam-6065	154	17	.	.	PUNCT
ejpam-6065	155	1	thus	thus	ADV
ejpam-6065	155	2	,	,	PUNCT
ejpam-6065	155	3	fγcl(p3	fγcl(p3	INTJ
ejpam-6065	155	4	)	)	PUNCT
ejpam-6065	155	5	=	=	SYM
ejpam-6065	155	6	1	1	NUM
ejpam-6065	155	7	by	by	ADP
ejpam-6065	155	8	theorem	theorem	ADJ
ejpam-6065	155	9	3.1	3.1	NUM
ejpam-6065	155	10	(	(	PUNCT
ejpam-6065	155	11	ii	ii	NOUN
ejpam-6065	155	12	)	)	PUNCT
ejpam-6065	155	13	.	.	PUNCT
ejpam-6065	156	1	c.	c.	PROPN
ejpam-6065	156	2	l.	l.	PROPN
ejpam-6065	156	3	armada	armada	PROPN
ejpam-6065	156	4	et	et	PROPN
ejpam-6065	156	5	al	al	PROPN
ejpam-6065	156	6	.	.	PUNCT
ejpam-6065	156	7	/	/	SYM
ejpam-6065	156	8	eur	eur	PROPN
ejpam-6065	156	9	.	.	PUNCT
ejpam-6065	157	1	j.	j.	PROPN
ejpam-6065	157	2	pure	pure	PROPN
ejpam-6065	157	3	appl	appl	PROPN
ejpam-6065	157	4	.	.	PROPN
ejpam-6065	157	5	math	math	PROPN
ejpam-6065	157	6	,	,	PUNCT
ejpam-6065	157	7	18	18	NUM
ejpam-6065	157	8	(	(	PUNCT
ejpam-6065	157	9	2	2	NUM
ejpam-6065	157	10	)	)	PUNCT
ejpam-6065	157	11	(	(	PUNCT
ejpam-6065	157	12	2025	2025	NUM
ejpam-6065	157	13	)	)	PUNCT
ejpam-6065	157	14	,	,	PUNCT
ejpam-6065	157	15	6065	6065	NUM
ejpam-6065	157	16	8	8	NUM
ejpam-6065	157	17	of	of	ADP
ejpam-6065	157	18	14	14	NUM
ejpam-6065	157	19	case	case	NOUN
ejpam-6065	157	20	4	4	NUM
ejpam-6065	157	21	.	.	PUNCT
ejpam-6065	158	1	let	let	VERB
ejpam-6065	158	2	n	n	NOUN
ejpam-6065	158	3	=	=	SYM
ejpam-6065	158	4	4	4	X
ejpam-6065	158	5	.	.	PUNCT
ejpam-6065	158	6	by	by	ADP
ejpam-6065	158	7	proposition	proposition	NOUN
ejpam-6065	158	8	2.1	2.1	NUM
ejpam-6065	158	9	,	,	PUNCT
ejpam-6065	158	10	γ(p4	γ(p4	NOUN
ejpam-6065	158	11	)	)	PUNCT
ejpam-6065	159	1	=	=	PUNCT
ejpam-6065	159	2	⌈43⌉	⌈43⌉	X
ejpam-6065	159	3	=	=	SYM
ejpam-6065	159	4	2	2	NUM
ejpam-6065	159	5	and	and	CCONJ
ejpam-6065	159	6	by	by	ADP
ejpam-6065	159	7	theorem	theorem	ADJ
ejpam-6065	159	8	2.3	2.3	NUM
ejpam-6065	159	9	,	,	PUNCT
ejpam-6065	159	10	γcl(p4	γcl(p4	PROPN
ejpam-6065	159	11	)	)	PUNCT
ejpam-6065	159	12	>	>	X
ejpam-6065	160	1	1	1	X
ejpam-6065	160	2	.	.	PUNCT
ejpam-6065	160	3	clearly	clearly	ADV
ejpam-6065	160	4	,	,	PUNCT
ejpam-6065	160	5	c	c	PROPN
ejpam-6065	160	6	=	=	PRON
ejpam-6065	160	7	{	{	PUNCT
ejpam-6065	160	8	u2	u2	NOUN
ejpam-6065	160	9	,	,	PUNCT
ejpam-6065	160	10	u3	u3	PROPN
ejpam-6065	160	11	}	}	PUNCT
ejpam-6065	160	12	is	be	AUX
ejpam-6065	160	13	the	the	DET
ejpam-6065	160	14	only	only	ADJ
ejpam-6065	160	15	γcl	γcl	NOUN
ejpam-6065	160	16	-	-	PUNCT
ejpam-6065	160	17	sets	set	NOUN
ejpam-6065	160	18	of	of	ADP
ejpam-6065	160	19	p4	p4	NOUN
ejpam-6065	160	20	since	since	SCONJ
ejpam-6065	160	21	the	the	DET
ejpam-6065	160	22	induced	induced	ADJ
ejpam-6065	160	23	subgraph	subgraph	NOUN
ejpam-6065	160	24	⟨c⟩	⟨c⟩	PROPN
ejpam-6065	160	25	of	of	ADP
ejpam-6065	160	26	c	c	PROPN
ejpam-6065	160	27	is	be	AUX
ejpam-6065	160	28	complete	complete	ADJ
ejpam-6065	160	29	.	.	PUNCT
ejpam-6065	161	1	thus	thus	ADV
ejpam-6065	161	2	,	,	PUNCT
ejpam-6065	161	3	γcl(p4	γcl(p4	X
ejpam-6065	161	4	)	)	PUNCT
ejpam-6065	161	5	=	=	SYM
ejpam-6065	161	6	2	2	NUM
ejpam-6065	161	7	and	and	CCONJ
ejpam-6065	161	8	fγcl(p4	fγcl(p4	NOUN
ejpam-6065	161	9	)	)	PUNCT
ejpam-6065	161	10	=	=	SYM
ejpam-6065	161	11	0	0	NUM
ejpam-6065	161	12	by	by	ADP
ejpam-6065	161	13	theorem	theorem	ADJ
ejpam-6065	161	14	3.1	3.1	NUM
ejpam-6065	161	15	(	(	PUNCT
ejpam-6065	161	16	i	i	NOUN
ejpam-6065	161	17	)	)	PUNCT
ejpam-6065	161	18	.	.	PUNCT
ejpam-6065	162	1	case	case	NOUN
ejpam-6065	162	2	5	5	X
ejpam-6065	162	3	.	.	PUNCT
ejpam-6065	163	1	let	let	VERB
ejpam-6065	163	2	n	n	PRON
ejpam-6065	163	3	≥	≥	NOUN
ejpam-6065	163	4	5	5	NUM
ejpam-6065	163	5	.	.	PUNCT
ejpam-6065	164	1	then	then	ADV
ejpam-6065	164	2	pn	pn	PROPN
ejpam-6065	164	3	has	have	AUX
ejpam-6065	164	4	induced	induce	VERB
ejpam-6065	164	5	p5	p5	ADJ
ejpam-6065	164	6	.	.	PUNCT
ejpam-6065	165	1	by	by	ADP
ejpam-6065	165	2	theorem	theorem	NOUN
ejpam-6065	165	3	2.6	2.6	NUM
ejpam-6065	165	4	,	,	PUNCT
ejpam-6065	165	5	pn	pn	PROPN
ejpam-6065	165	6	has	have	VERB
ejpam-6065	165	7	no	no	DET
ejpam-6065	165	8	clique	clique	NOUN
ejpam-6065	165	9	dominating	dominating	NOUN
ejpam-6065	165	10	set	set	NOUN
ejpam-6065	165	11	.	.	PUNCT
ejpam-6065	166	1	therefore	therefore	ADV
ejpam-6065	166	2	,	,	PUNCT
ejpam-6065	166	3	for	for	ADP
ejpam-6065	166	4	all	all	DET
ejpam-6065	166	5	n	n	PRON
ejpam-6065	166	6	≥	≥	NOUN
ejpam-6065	166	7	5	5	NUM
ejpam-6065	166	8	,	,	PUNCT
ejpam-6065	166	9	pn	pn	PROPN
ejpam-6065	166	10	is	be	AUX
ejpam-6065	166	11	non	non	ADJ
ejpam-6065	166	12	−	−	PROPN
ejpam-6065	166	13	γcl	γcl	PROPN
ejpam-6065	166	14	−	−	NOUN
ejpam-6065	166	15	graph	graph	NOUN
ejpam-6065	166	16	,	,	PUNCT
ejpam-6065	166	17	and	and	CCONJ
ejpam-6065	166	18	both	both	DET
ejpam-6065	166	19	γcl(pn	γcl(pn	NOUN
ejpam-6065	166	20	)	)	PUNCT
ejpam-6065	166	21	and	and	CCONJ
ejpam-6065	166	22	fγcl(pn	fγcl(pn	NOUN
ejpam-6065	166	23	)	)	PUNCT
ejpam-6065	166	24	are	be	AUX
ejpam-6065	166	25	undefined	undefined	ADJ
ejpam-6065	166	26	.	.	PUNCT
ejpam-6065	167	1	proposition	proposition	NOUN
ejpam-6065	167	2	3.6	3.6	NUM
ejpam-6065	167	3	.	.	PUNCT
ejpam-6065	168	1	let	let	VERB
ejpam-6065	168	2	n	n	PRON
ejpam-6065	168	3	be	be	AUX
ejpam-6065	168	4	a	a	DET
ejpam-6065	168	5	positive	positive	ADJ
ejpam-6065	168	6	integer	integer	NOUN
ejpam-6065	168	7	with	with	ADP
ejpam-6065	168	8	n	n	PRON
ejpam-6065	168	9	≥	≥	NUM
ejpam-6065	168	10	3	3	NUM
ejpam-6065	168	11	.	.	PUNCT
ejpam-6065	169	1	then	then	ADV
ejpam-6065	169	2	the	the	DET
ejpam-6065	169	3	clique	clique	ADJ
ejpam-6065	169	4	domination	domination	NOUN
ejpam-6065	169	5	number	number	NOUN
ejpam-6065	169	6	and	and	CCONJ
ejpam-6065	169	7	forcing	force	VERB
ejpam-6065	169	8	clique	clique	ADJ
ejpam-6065	169	9	domination	domination	NOUN
ejpam-6065	169	10	number	number	NOUN
ejpam-6065	169	11	of	of	ADP
ejpam-6065	169	12	a	a	DET
ejpam-6065	169	13	cycle	cycle	NOUN
ejpam-6065	169	14	cn	cn	NOUN
ejpam-6065	169	15	are	be	AUX
ejpam-6065	169	16	equal	equal	ADJ
ejpam-6065	169	17	and	and	CCONJ
ejpam-6065	169	18	given	give	VERB
ejpam-6065	169	19	by	by	ADP
ejpam-6065	169	20	fγcl(cn	fγcl(cn	PROPN
ejpam-6065	169	21	)	)	PUNCT
ejpam-6065	169	22	=	=	PUNCT
ejpam-6065	169	23	γcl(cn	γcl(cn	X
ejpam-6065	169	24	)	)	PUNCT
ejpam-6065	169	25	=	=	NOUN
ejpam-6065	169	26	{	{	PUNCT
ejpam-6065	169	27	1	1	NUM
ejpam-6065	169	28	,	,	PUNCT
ejpam-6065	169	29	n	n	NOUN
ejpam-6065	169	30	=	=	SYM
ejpam-6065	169	31	3	3	NUM
ejpam-6065	169	32	2	2	NUM
ejpam-6065	169	33	,	,	PUNCT
ejpam-6065	169	34	n	n	NOUN
ejpam-6065	169	35	=	=	SYM
ejpam-6065	169	36	4	4	NUM
ejpam-6065	169	37	for	for	ADP
ejpam-6065	169	38	n	n	X
ejpam-6065	169	39	≥	≥	NOUN
ejpam-6065	169	40	5	5	NUM
ejpam-6065	169	41	,	,	PUNCT
ejpam-6065	169	42	the	the	DET
ejpam-6065	169	43	cycle	cycle	NOUN
ejpam-6065	169	44	cn	cn	PROPN
ejpam-6065	169	45	is	be	AUX
ejpam-6065	169	46	non−γcl−graph	non−γcl−graph	PROPN
ejpam-6065	169	47	,	,	PUNCT
ejpam-6065	169	48	and	and	CCONJ
ejpam-6065	169	49	both	both	DET
ejpam-6065	169	50	γcl(cn	γcl(cn	ADJ
ejpam-6065	169	51	)	)	PUNCT
ejpam-6065	169	52	and	and	CCONJ
ejpam-6065	169	53	fγcl(cn	fγcl(cn	PROPN
ejpam-6065	169	54	)	)	PUNCT
ejpam-6065	169	55	are	be	AUX
ejpam-6065	169	56	undefined	undefined	ADJ
ejpam-6065	169	57	.	.	PUNCT
ejpam-6065	170	1	proof	proof	NOUN
ejpam-6065	170	2	:	:	PUNCT
ejpam-6065	170	3	let	let	VERB
ejpam-6065	170	4	v	v	X
ejpam-6065	170	5	(	(	PUNCT
ejpam-6065	170	6	cn	cn	PROPN
ejpam-6065	170	7	)	)	PUNCT
ejpam-6065	170	8	=	=	SYM
ejpam-6065	170	9	{	{	PUNCT
ejpam-6065	170	10	u1	u1	NOUN
ejpam-6065	170	11	,	,	PUNCT
ejpam-6065	170	12	u2	u2	NOUN
ejpam-6065	170	13	,	,	PUNCT
ejpam-6065	170	14	.	.	PUNCT
ejpam-6065	170	15	.	.	PUNCT
ejpam-6065	170	16	.	.	PUNCT
ejpam-6065	171	1	,	,	PUNCT
ejpam-6065	171	2	un	un	PROPN
ejpam-6065	171	3	}	}	PUNCT
ejpam-6065	171	4	.	.	PUNCT
ejpam-6065	172	1	consider	consider	VERB
ejpam-6065	172	2	the	the	DET
ejpam-6065	172	3	following	follow	VERB
ejpam-6065	172	4	cases	case	NOUN
ejpam-6065	172	5	:	:	PUNCT
ejpam-6065	172	6	case	case	NOUN
ejpam-6065	172	7	1	1	X
ejpam-6065	172	8	.	.	PUNCT
ejpam-6065	173	1	let	let	VERB
ejpam-6065	173	2	n	n	NOUN
ejpam-6065	173	3	=	=	SYM
ejpam-6065	173	4	3	3	X
ejpam-6065	173	5	.	.	PUNCT
ejpam-6065	173	6	then	then	ADV
ejpam-6065	173	7	by	by	ADP
ejpam-6065	173	8	proposition	proposition	NOUN
ejpam-6065	173	9	2.1	2.1	NUM
ejpam-6065	173	10	,	,	PUNCT
ejpam-6065	173	11	γ(c3	γ(c3	ADV
ejpam-6065	173	12	)	)	PUNCT
ejpam-6065	173	13	=	=	PUNCT
ejpam-6065	174	1	⌈	⌈	SYM
ejpam-6065	174	2	3	3	NUM
ejpam-6065	174	3	3	3	NUM
ejpam-6065	174	4	⌉	⌉	NOUN
ejpam-6065	174	5	=	=	SYM
ejpam-6065	174	6	1	1	NUM
ejpam-6065	174	7	and	and	CCONJ
ejpam-6065	174	8	by	by	ADP
ejpam-6065	174	9	theorem	theorem	ADJ
ejpam-6065	174	10	2.3	2.3	NUM
ejpam-6065	174	11	,	,	PUNCT
ejpam-6065	174	12	γcl(c3	γcl(c3	NOUN
ejpam-6065	174	13	)	)	PUNCT
ejpam-6065	174	14	=	=	SYM
ejpam-6065	175	1	1	1	X
ejpam-6065	175	2	.	.	PUNCT
ejpam-6065	175	3	clearly	clearly	ADV
ejpam-6065	175	4	,	,	PUNCT
ejpam-6065	175	5	s1	s1	PROPN
ejpam-6065	175	6	=	=	SYM
ejpam-6065	175	7	{	{	PUNCT
ejpam-6065	175	8	u1	u1	NOUN
ejpam-6065	175	9	}	}	PUNCT
ejpam-6065	175	10	,	,	PUNCT
ejpam-6065	175	11	s2	s2	X
ejpam-6065	175	12	=	=	SYM
ejpam-6065	175	13	{	{	PUNCT
ejpam-6065	175	14	u2	u2	PROPN
ejpam-6065	175	15	}	}	PUNCT
ejpam-6065	175	16	and	and	CCONJ
ejpam-6065	175	17	s3	s3	PROPN
ejpam-6065	175	18	=	=	SYM
ejpam-6065	175	19	{	{	PUNCT
ejpam-6065	175	20	u3	u3	PROPN
ejpam-6065	175	21	}	}	PUNCT
ejpam-6065	175	22	are	be	AUX
ejpam-6065	175	23	the	the	DET
ejpam-6065	175	24	γcl	γcl	NOUN
ejpam-6065	175	25	-	-	PUNCT
ejpam-6065	175	26	sets	set	NOUN
ejpam-6065	175	27	of	of	ADP
ejpam-6065	175	28	c3	c3	PROPN
ejpam-6065	175	29	,	,	PUNCT
ejpam-6065	175	30	that	that	ADV
ejpam-6065	175	31	is	is	ADV
ejpam-6065	175	32	,	,	PUNCT
ejpam-6065	175	33	the	the	DET
ejpam-6065	175	34	vertex	vertex	NOUN
ejpam-6065	175	35	u1	u1	NOUN
ejpam-6065	175	36	is	be	AUX
ejpam-6065	175	37	contained	contain	VERB
ejpam-6065	175	38	in	in	ADP
ejpam-6065	175	39	s1	s1	NOUN
ejpam-6065	175	40	only	only	ADV
ejpam-6065	175	41	.	.	PUNCT
ejpam-6065	176	1	by	by	ADP
ejpam-6065	176	2	theorem	theorem	NOUN
ejpam-6065	176	3	3.1(ii	3.1(ii	NUM
ejpam-6065	176	4	)	)	PUNCT
ejpam-6065	176	5	,	,	PUNCT
ejpam-6065	176	6	fγcl(c3	fγcl(c3	PROPN
ejpam-6065	176	7	)	)	PUNCT
ejpam-6065	176	8	=	=	SYM
ejpam-6065	176	9	1	1	X
ejpam-6065	176	10	.	.	X
ejpam-6065	176	11	case	case	NOUN
ejpam-6065	176	12	2	2	X
ejpam-6065	176	13	.	.	PUNCT
ejpam-6065	176	14	let	let	VERB
ejpam-6065	176	15	n	n	NOUN
ejpam-6065	176	16	=	=	SYM
ejpam-6065	176	17	4	4	X
ejpam-6065	176	18	.	.	PUNCT
ejpam-6065	176	19	by	by	ADP
ejpam-6065	176	20	proposition	proposition	NOUN
ejpam-6065	176	21	2.1	2.1	NUM
ejpam-6065	176	22	,	,	PUNCT
ejpam-6065	176	23	γ(c4	γ(c4	NOUN
ejpam-6065	176	24	)	)	PUNCT
ejpam-6065	176	25	=	=	PUNCT
ejpam-6065	177	1	⌈	⌈	NUM
ejpam-6065	177	2	4	4	NUM
ejpam-6065	177	3	3	3	NUM
ejpam-6065	177	4	⌉	⌉	NOUN
ejpam-6065	177	5	=	=	ADJ
ejpam-6065	177	6	2	2	X
ejpam-6065	177	7	.	.	PUNCT
ejpam-6065	177	8	clearly	clearly	ADV
ejpam-6065	177	9	,	,	PUNCT
ejpam-6065	177	10	t1	t1	NOUN
ejpam-6065	177	11	=	=	PUNCT
ejpam-6065	177	12	{	{	PUNCT
ejpam-6065	177	13	u1	u1	NOUN
ejpam-6065	177	14	,	,	PUNCT
ejpam-6065	177	15	u2	u2	PROPN
ejpam-6065	177	16	}	}	PUNCT
ejpam-6065	177	17	,	,	PUNCT
ejpam-6065	177	18	t2	t2	NOUN
ejpam-6065	177	19	=	=	SYM
ejpam-6065	177	20	{	{	PUNCT
ejpam-6065	177	21	u2	u2	NOUN
ejpam-6065	177	22	,	,	PUNCT
ejpam-6065	177	23	u3	u3	NOUN
ejpam-6065	177	24	}	}	PUNCT
ejpam-6065	177	25	,	,	PUNCT
ejpam-6065	177	26	t3	t3	PROPN
ejpam-6065	177	27	=	=	SYM
ejpam-6065	177	28	{	{	PUNCT
ejpam-6065	177	29	u3	u3	PROPN
ejpam-6065	177	30	,	,	PUNCT
ejpam-6065	177	31	u4	u4	PROPN
ejpam-6065	177	32	}	}	PUNCT
ejpam-6065	177	33	and	and	CCONJ
ejpam-6065	177	34	t4	t4	PROPN
ejpam-6065	177	35	=	=	PROPN
ejpam-6065	177	36	{	{	PUNCT
ejpam-6065	177	37	u4	u4	PROPN
ejpam-6065	177	38	,	,	PUNCT
ejpam-6065	177	39	u1	u1	PROPN
ejpam-6065	177	40	}	}	PUNCT
ejpam-6065	177	41	are	be	AUX
ejpam-6065	177	42	the	the	DET
ejpam-6065	177	43	γcl	γcl	NOUN
ejpam-6065	177	44	-	-	PUNCT
ejpam-6065	177	45	sets	set	NOUN
ejpam-6065	177	46	of	of	ADP
ejpam-6065	177	47	c4	c4	NOUN
ejpam-6065	177	48	,	,	PUNCT
ejpam-6065	177	49	such	such	ADJ
ejpam-6065	177	50	that	that	SCONJ
ejpam-6065	177	51	for	for	ADP
ejpam-6065	177	52	all	all	DET
ejpam-6065	177	53	i	i	PRON
ejpam-6065	177	54	=	=	NOUN
ejpam-6065	177	55	1	1	NUM
ejpam-6065	177	56	,	,	PUNCT
ejpam-6065	177	57	2	2	NUM
ejpam-6065	177	58	,	,	PUNCT
ejpam-6065	177	59	3	3	NUM
ejpam-6065	177	60	,	,	PUNCT
ejpam-6065	177	61	4	4	NUM
ejpam-6065	177	62	,	,	PUNCT
ejpam-6065	177	63	the	the	DET
ejpam-6065	177	64	induced	induced	ADJ
ejpam-6065	177	65	subgraph	subgraph	NOUN
ejpam-6065	177	66	⟨ti⟩	⟨ti⟩	NOUN
ejpam-6065	177	67	of	of	ADP
ejpam-6065	177	68	ti	ti	PROPN
ejpam-6065	177	69	is	be	AUX
ejpam-6065	177	70	complete	complete	ADJ
ejpam-6065	177	71	.	.	PUNCT
ejpam-6065	178	1	thus	thus	ADV
ejpam-6065	178	2	,	,	PUNCT
ejpam-6065	178	3	γcl(c4	γcl(c4	NOUN
ejpam-6065	178	4	)	)	PUNCT
ejpam-6065	178	5	=	=	SYM
ejpam-6065	178	6	2	2	X
ejpam-6065	178	7	.	.	PUNCT
ejpam-6065	178	8	clearly	clearly	ADV
ejpam-6065	178	9	,	,	PUNCT
ejpam-6065	178	10	every	every	DET
ejpam-6065	178	11	vertex	vertex	NOUN
ejpam-6065	178	12	in	in	ADP
ejpam-6065	178	13	γcl	γcl	PROPN
ejpam-6065	178	14	-	-	PUNCT
ejpam-6065	178	15	set	set	VERB
ejpam-6065	178	16	tk	tk	PROPN
ejpam-6065	178	17	of	of	ADP
ejpam-6065	178	18	c4	c4	NOUN
ejpam-6065	178	19	can	can	AUX
ejpam-6065	178	20	be	be	AUX
ejpam-6065	178	21	replaced	replace	VERB
ejpam-6065	178	22	by	by	ADP
ejpam-6065	178	23	another	another	DET
ejpam-6065	178	24	vertex	vertex	NOUN
ejpam-6065	178	25	in	in	ADP
ejpam-6065	178	26	v	v	NOUN
ejpam-6065	178	27	(	(	PUNCT
ejpam-6065	178	28	c4)\tk	c4)\tk	ADV
ejpam-6065	178	29	to	to	PART
ejpam-6065	178	30	form	form	VERB
ejpam-6065	178	31	another	another	DET
ejpam-6065	178	32	γcl	γcl	PROPN
ejpam-6065	178	33	-	-	PUNCT
ejpam-6065	178	34	set	set	VERB
ejpam-6065	178	35	tj	tj	NOUN
ejpam-6065	178	36	such	such	ADJ
ejpam-6065	178	37	that	that	SCONJ
ejpam-6065	178	38	k	k	PROPN
ejpam-6065	178	39	̸=	̸=	PROPN
ejpam-6065	178	40	j.	j.	PROPN
ejpam-6065	178	41	by	by	ADP
ejpam-6065	178	42	remark	remark	NOUN
ejpam-6065	178	43	3.4	3.4	NUM
ejpam-6065	178	44	,	,	PUNCT
ejpam-6065	178	45	fγcl(c4	fγcl(c4	NOUN
ejpam-6065	178	46	)	)	PUNCT
ejpam-6065	178	47	=	=	PUNCT
ejpam-6065	178	48	γcl(c4	γcl(c4	NOUN
ejpam-6065	178	49	)	)	PUNCT
ejpam-6065	178	50	=	=	SYM
ejpam-6065	178	51	2	2	X
ejpam-6065	178	52	.	.	X
ejpam-6065	178	53	case	case	NOUN
ejpam-6065	178	54	3	3	X
ejpam-6065	178	55	.	.	PUNCT
ejpam-6065	178	56	let	let	VERB
ejpam-6065	178	57	n	n	PRON
ejpam-6065	178	58	≥	≥	NOUN
ejpam-6065	178	59	5	5	NUM
ejpam-6065	178	60	.	.	PUNCT
ejpam-6065	179	1	then	then	ADV
ejpam-6065	179	2	cn	cn	PROPN
ejpam-6065	179	3	has	have	AUX
ejpam-6065	179	4	induced	induce	VERB
ejpam-6065	179	5	p5	p5	ADJ
ejpam-6065	179	6	.	.	PUNCT
ejpam-6065	180	1	by	by	ADP
ejpam-6065	180	2	theorem	theorem	NOUN
ejpam-6065	180	3	2.6	2.6	NUM
ejpam-6065	180	4	,	,	PUNCT
ejpam-6065	180	5	cn	cn	PROPN
ejpam-6065	180	6	has	have	VERB
ejpam-6065	180	7	no	no	DET
ejpam-6065	180	8	clique	clique	NOUN
ejpam-6065	180	9	dominating	dominating	NOUN
ejpam-6065	180	10	set	set	NOUN
ejpam-6065	180	11	.	.	PUNCT
ejpam-6065	181	1	therefore	therefore	ADV
ejpam-6065	181	2	,	,	PUNCT
ejpam-6065	181	3	for	for	ADP
ejpam-6065	181	4	all	all	DET
ejpam-6065	181	5	n	n	PRON
ejpam-6065	181	6	≥	≥	NOUN
ejpam-6065	181	7	5	5	NUM
ejpam-6065	181	8	,	,	PUNCT
ejpam-6065	181	9	cn	cn	PROPN
ejpam-6065	181	10	is	be	AUX
ejpam-6065	181	11	non	non	ADJ
ejpam-6065	181	12	−	−	PROPN
ejpam-6065	181	13	γcl	γcl	PROPN
ejpam-6065	181	14	−	−	NOUN
ejpam-6065	181	15	graph	graph	NOUN
ejpam-6065	181	16	,	,	PUNCT
ejpam-6065	181	17	and	and	CCONJ
ejpam-6065	181	18	both	both	DET
ejpam-6065	181	19	γcl(cn	γcl(cn	ADJ
ejpam-6065	181	20	)	)	PUNCT
ejpam-6065	181	21	and	and	CCONJ
ejpam-6065	181	22	fγcl(cn	fγcl(cn	PROPN
ejpam-6065	181	23	)	)	PUNCT
ejpam-6065	181	24	are	be	AUX
ejpam-6065	181	25	undefined	undefined	ADJ
ejpam-6065	181	26	.	.	PUNCT
ejpam-6065	182	1	proposition	proposition	NOUN
ejpam-6065	182	2	3.7	3.7	NUM
ejpam-6065	182	3	.	.	PUNCT
ejpam-6065	183	1	let	let	VERB
ejpam-6065	183	2	n	n	PRON
ejpam-6065	183	3	be	be	AUX
ejpam-6065	183	4	a	a	DET
ejpam-6065	183	5	positive	positive	ADJ
ejpam-6065	183	6	integer	integer	NOUN
ejpam-6065	183	7	with	with	ADP
ejpam-6065	183	8	n	n	PRON
ejpam-6065	183	9	≥	≥	NUM
ejpam-6065	183	10	1	1	NUM
ejpam-6065	183	11	.	.	PUNCT
ejpam-6065	184	1	then	then	ADV
ejpam-6065	184	2	the	the	DET
ejpam-6065	184	3	clique	clique	ADJ
ejpam-6065	184	4	domination	domination	NOUN
ejpam-6065	184	5	number	number	NOUN
ejpam-6065	184	6	of	of	ADP
ejpam-6065	184	7	the	the	DET
ejpam-6065	184	8	complete	complete	ADJ
ejpam-6065	184	9	graph	graph	NOUN
ejpam-6065	184	10	kn	kn	PROPN
ejpam-6065	184	11	is	be	AUX
ejpam-6065	184	12	given	give	VERB
ejpam-6065	184	13	by	by	ADP
ejpam-6065	184	14	γcl(kn	γcl(kn	NOUN
ejpam-6065	184	15	)	)	PUNCT
ejpam-6065	184	16	=	=	SYM
ejpam-6065	184	17	1	1	NUM
ejpam-6065	184	18	and	and	CCONJ
ejpam-6065	184	19	forcing	force	VERB
ejpam-6065	184	20	clique	clique	NOUN
ejpam-6065	184	21	domination	domination	NOUN
ejpam-6065	184	22	number	number	NOUN
ejpam-6065	184	23	is	be	AUX
ejpam-6065	184	24	given	give	VERB
ejpam-6065	184	25	by	by	ADP
ejpam-6065	184	26	fγcl(kn	fγcl(kn	NOUN
ejpam-6065	184	27	)	)	PUNCT
ejpam-6065	184	28	=	=	PUNCT
ejpam-6065	184	29	{	{	PUNCT
ejpam-6065	184	30	0	0	NUM
ejpam-6065	184	31	,	,	PUNCT
ejpam-6065	184	32	n	n	NOUN
ejpam-6065	184	33	=	=	SYM
ejpam-6065	184	34	1	1	NUM
ejpam-6065	184	35	1	1	NUM
ejpam-6065	184	36	,	,	PUNCT
ejpam-6065	184	37	n	n	PRON
ejpam-6065	184	38	≥	≥	NOUN
ejpam-6065	184	39	2	2	NUM
ejpam-6065	184	40	.	.	PUNCT
ejpam-6065	185	1	proof	proof	NOUN
ejpam-6065	185	2	:	:	PUNCT
ejpam-6065	185	3	let	let	VERB
ejpam-6065	185	4	v	v	X
ejpam-6065	185	5	(	(	PUNCT
ejpam-6065	185	6	kn	kn	PROPN
ejpam-6065	185	7	)	)	PUNCT
ejpam-6065	185	8	=	=	PRON
ejpam-6065	185	9	{	{	PUNCT
ejpam-6065	185	10	u1	u1	NOUN
ejpam-6065	185	11	,	,	PUNCT
ejpam-6065	185	12	u2	u2	NOUN
ejpam-6065	185	13	,	,	PUNCT
ejpam-6065	185	14	u3	u3	NOUN
ejpam-6065	185	15	.	.	PUNCT
ejpam-6065	185	16	.	.	PUNCT
ejpam-6065	185	17	.	.	PUNCT
ejpam-6065	186	1	,	,	PUNCT
ejpam-6065	186	2	un	un	PROPN
ejpam-6065	186	3	}	}	PUNCT
ejpam-6065	186	4	.	.	PUNCT
ejpam-6065	187	1	by	by	ADP
ejpam-6065	187	2	proposition	proposition	NOUN
ejpam-6065	187	3	2.2	2.2	NUM
ejpam-6065	187	4	,	,	PUNCT
ejpam-6065	187	5	γ(kn	γ(kn	NUM
ejpam-6065	187	6	)	)	PUNCT
ejpam-6065	187	7	=	=	SYM
ejpam-6065	187	8	1	1	NUM
ejpam-6065	187	9	and	and	CCONJ
ejpam-6065	187	10	by	by	ADP
ejpam-6065	187	11	theorem	theorem	ADJ
ejpam-6065	187	12	2.3	2.3	NUM
ejpam-6065	187	13	,	,	PUNCT
ejpam-6065	187	14	γcl(kn	γcl(kn	NOUN
ejpam-6065	187	15	)	)	PUNCT
ejpam-6065	187	16	=	=	SYM
ejpam-6065	188	1	1	1	X
ejpam-6065	188	2	.	.	PUNCT
ejpam-6065	189	1	if	if	SCONJ
ejpam-6065	189	2	n	n	NOUN
ejpam-6065	189	3	=	=	SYM
ejpam-6065	189	4	1	1	NUM
ejpam-6065	189	5	,	,	PUNCT
ejpam-6065	189	6	then	then	ADV
ejpam-6065	189	7	{	{	PUNCT
ejpam-6065	189	8	u1	u1	PROPN
ejpam-6065	189	9	}	}	PUNCT
ejpam-6065	189	10	is	be	AUX
ejpam-6065	189	11	the	the	DET
ejpam-6065	189	12	only	only	ADJ
ejpam-6065	189	13	γcl	γcl	NOUN
ejpam-6065	189	14	-	-	PUNCT
ejpam-6065	189	15	set	set	NOUN
ejpam-6065	189	16	of	of	ADP
ejpam-6065	189	17	k1	k1	NOUN
ejpam-6065	189	18	.	.	PUNCT
ejpam-6065	190	1	thus	thus	ADV
ejpam-6065	190	2	,	,	PUNCT
ejpam-6065	190	3	fγcl(k1	fγcl(k1	PROPN
ejpam-6065	190	4	)	)	PUNCT
ejpam-6065	191	1	=	=	SYM
ejpam-6065	191	2	0	0	NUM
ejpam-6065	191	3	by	by	ADP
ejpam-6065	191	4	theorem	theorem	NOUN
ejpam-6065	191	5	3.1(i	3.1(i	NUM
ejpam-6065	191	6	)	)	PUNCT
ejpam-6065	191	7	.	.	PUNCT
ejpam-6065	192	1	suppose	suppose	VERB
ejpam-6065	192	2	that	that	SCONJ
ejpam-6065	192	3	n	n	PROPN
ejpam-6065	192	4	≥	≥	NUM
ejpam-6065	192	5	2	2	NUM
ejpam-6065	192	6	.	.	PUNCT
ejpam-6065	193	1	then	then	ADV
ejpam-6065	193	2	for	for	ADP
ejpam-6065	193	3	all	all	DET
ejpam-6065	193	4	i	i	PRON
ejpam-6065	193	5	=	=	NOUN
ejpam-6065	193	6	1	1	NUM
ejpam-6065	193	7	,	,	PUNCT
ejpam-6065	193	8	2	2	NUM
ejpam-6065	193	9	,	,	PUNCT
ejpam-6065	193	10	.	.	PUNCT
ejpam-6065	193	11	.	.	PUNCT
ejpam-6065	193	12	.	.	PUNCT
ejpam-6065	194	1	,	,	PUNCT
ejpam-6065	194	2	n	n	CCONJ
ejpam-6065	194	3	,	,	PUNCT
ejpam-6065	194	4	si	si	X
ejpam-6065	194	5	=	=	ADJ
ejpam-6065	194	6	{	{	PUNCT
ejpam-6065	194	7	ui	ui	NOUN
ejpam-6065	194	8	}	}	PUNCT
ejpam-6065	194	9	is	be	AUX
ejpam-6065	194	10	a	a	DET
ejpam-6065	194	11	γcl	γcl	NOUN
ejpam-6065	194	12	-	-	PUNCT
ejpam-6065	194	13	set	set	NOUN
ejpam-6065	194	14	of	of	ADP
ejpam-6065	194	15	kn	kn	PROPN
ejpam-6065	194	16	,	,	PUNCT
ejpam-6065	194	17	that	that	ADV
ejpam-6065	194	18	is	is	ADV
ejpam-6065	194	19	,	,	PUNCT
ejpam-6065	194	20	the	the	DET
ejpam-6065	194	21	vertex	vertex	NOUN
ejpam-6065	194	22	ui	ui	NOUN
ejpam-6065	194	23	is	be	AUX
ejpam-6065	194	24	contained	contain	VERB
ejpam-6065	194	25	in	in	ADP
ejpam-6065	194	26	si	si	NOUN
ejpam-6065	194	27	only	only	ADV
ejpam-6065	194	28	.	.	PUNCT
ejpam-6065	195	1	by	by	ADP
ejpam-6065	195	2	theorem	theorem	ADJ
ejpam-6065	195	3	3.1	3.1	NUM
ejpam-6065	195	4	(	(	PUNCT
ejpam-6065	195	5	ii	ii	NOUN
ejpam-6065	195	6	)	)	PUNCT
ejpam-6065	195	7	,	,	PUNCT
ejpam-6065	195	8	fγcl(kn	fγcl(kn	NOUN
ejpam-6065	195	9	)	)	PUNCT
ejpam-6065	195	10	=	=	SYM
ejpam-6065	195	11	1	1	NUM
ejpam-6065	195	12	for	for	ADP
ejpam-6065	195	13	all	all	DET
ejpam-6065	195	14	n	n	PRON
ejpam-6065	195	15	≥	≥	NOUN
ejpam-6065	195	16	2	2	NUM
ejpam-6065	195	17	.	.	PUNCT
ejpam-6065	195	18	c.	c.	PROPN
ejpam-6065	195	19	l.	l.	PROPN
ejpam-6065	195	20	armada	armada	PROPN
ejpam-6065	195	21	et	et	PROPN
ejpam-6065	195	22	al	al	PROPN
ejpam-6065	195	23	.	.	PUNCT
ejpam-6065	195	24	/	/	SYM
ejpam-6065	195	25	eur	eur	PROPN
ejpam-6065	195	26	.	.	PUNCT
ejpam-6065	196	1	j.	j.	PROPN
ejpam-6065	196	2	pure	pure	PROPN
ejpam-6065	196	3	appl	appl	PROPN
ejpam-6065	196	4	.	.	PROPN
ejpam-6065	196	5	math	math	PROPN
ejpam-6065	196	6	,	,	PUNCT
ejpam-6065	196	7	18	18	NUM
ejpam-6065	196	8	(	(	PUNCT
ejpam-6065	196	9	2	2	NUM
ejpam-6065	196	10	)	)	PUNCT
ejpam-6065	196	11	(	(	PUNCT
ejpam-6065	196	12	2025	2025	NUM
ejpam-6065	196	13	)	)	PUNCT
ejpam-6065	196	14	,	,	PUNCT
ejpam-6065	196	15	6065	6065	NUM
ejpam-6065	196	16	9	9	NUM
ejpam-6065	196	17	of	of	ADP
ejpam-6065	196	18	14	14	NUM
ejpam-6065	196	19	theorem	theorem	VERB
ejpam-6065	196	20	3.8	3.8	NUM
ejpam-6065	196	21	.	.	PUNCT
ejpam-6065	197	1	let	let	VERB
ejpam-6065	197	2	g	g	NOUN
ejpam-6065	197	3	and	and	CCONJ
ejpam-6065	197	4	h	h	NOUN
ejpam-6065	197	5	be	be	VERB
ejpam-6065	197	6	any	any	DET
ejpam-6065	197	7	graphs	graph	NOUN
ejpam-6065	197	8	.	.	PUNCT
ejpam-6065	198	1	then	then	ADV
ejpam-6065	198	2	fγcl(g+h	fγcl(g+h	PROPN
ejpam-6065	198	3	)	)	PUNCT
ejpam-6065	198	4	=	=	PUNCT
ejpam-6065	198	5			NOUN
ejpam-6065	198	6	0	0	NUM
ejpam-6065	198	7	,	,	PUNCT
ejpam-6065	198	8	if	if	SCONJ
ejpam-6065	198	9	either	either	PRON
ejpam-6065	198	10	γ(g	γ(g	PROPN
ejpam-6065	198	11	)	)	PUNCT
ejpam-6065	198	12	=	=	PUNCT
ejpam-6065	199	1	1	1	NUM
ejpam-6065	199	2	<	<	X
ejpam-6065	199	3	γ(h	γ(h	NOUN
ejpam-6065	199	4	)	)	PUNCT
ejpam-6065	199	5	andghas	andgha	VERB
ejpam-6065	199	6	a	a	DET
ejpam-6065	199	7	unique	unique	ADJ
ejpam-6065	199	8	γ	γ	NOUN
ejpam-6065	199	9	−	−	NOUN
ejpam-6065	199	10	set	set	NOUN
ejpam-6065	199	11	,	,	PUNCT
ejpam-6065	199	12	or	or	CCONJ
ejpam-6065	199	13	γ(h	γ(h	NOUN
ejpam-6065	199	14	)	)	PUNCT
ejpam-6065	199	15	=	=	SYM
ejpam-6065	199	16	1	1	NUM
ejpam-6065	199	17	<	<	X
ejpam-6065	199	18	γ(g	γ(g	PROPN
ejpam-6065	199	19	)	)	PUNCT
ejpam-6065	199	20	andh	andh	NOUN
ejpam-6065	199	21	has	have	VERB
ejpam-6065	199	22	a	a	DET
ejpam-6065	199	23	unique	unique	ADJ
ejpam-6065	199	24	γ	γ	NOUN
ejpam-6065	199	25	−	−	NOUN
ejpam-6065	199	26	set	set	NOUN
ejpam-6065	199	27	1	1	NUM
ejpam-6065	199	28	,	,	PUNCT
ejpam-6065	199	29	if	if	SCONJ
ejpam-6065	199	30	either	either	PRON
ejpam-6065	199	31	γ(g	γ(g	PROPN
ejpam-6065	199	32	)	)	PUNCT
ejpam-6065	199	33	=	=	PUNCT
ejpam-6065	199	34	1	1	NUM
ejpam-6065	199	35	<	<	X
ejpam-6065	199	36	γ(h	γ(h	PROPN
ejpam-6065	199	37	)	)	PUNCT
ejpam-6065	199	38	andghasno	andghasno	ADV
ejpam-6065	199	39	unique	unique	ADJ
ejpam-6065	199	40	γ	γ	NOUN
ejpam-6065	199	41	−	−	NOUN
ejpam-6065	199	42	set	set	NOUN
ejpam-6065	199	43	,	,	PUNCT
ejpam-6065	199	44	orγ(h	orγ(h	PROPN
ejpam-6065	199	45	)	)	PUNCT
ejpam-6065	199	46	=	=	SYM
ejpam-6065	199	47	1	1	NUM
ejpam-6065	199	48	<	<	X
ejpam-6065	199	49	γ(g	γ(g	PROPN
ejpam-6065	199	50	)	)	PUNCT
ejpam-6065	199	51	andh	andh	NOUN
ejpam-6065	199	52	hasno	hasno	ADV
ejpam-6065	199	53	unique	unique	ADJ
ejpam-6065	199	54	γ	γ	X
ejpam-6065	199	55	−	−	NOUN
ejpam-6065	199	56	set	set	NOUN
ejpam-6065	199	57	or	or	CCONJ
ejpam-6065	199	58	γ(g	γ(g	PROPN
ejpam-6065	199	59	)	)	PUNCT
ejpam-6065	200	1	=	=	SYM
ejpam-6065	200	2	1	1	NUM
ejpam-6065	200	3	and	and	CCONJ
ejpam-6065	200	4	γ(h	γ(h	NOUN
ejpam-6065	200	5	)	)	PUNCT
ejpam-6065	200	6	=	=	SYM
ejpam-6065	201	1	1	1	NUM
ejpam-6065	201	2	2	2	NUM
ejpam-6065	201	3	,	,	PUNCT
ejpam-6065	201	4	if	if	SCONJ
ejpam-6065	201	5	γ(g	γ(g	PROPN
ejpam-6065	201	6	)	)	PUNCT
ejpam-6065	201	7	>	>	X
ejpam-6065	201	8	1	1	NUM
ejpam-6065	201	9	and	and	CCONJ
ejpam-6065	201	10	γ(h	γ(h	NOUN
ejpam-6065	201	11	)	)	PUNCT
ejpam-6065	201	12	>	>	X
ejpam-6065	202	1	1	1	X
ejpam-6065	202	2	.	.	X
ejpam-6065	203	1	proof	proof	NOUN
ejpam-6065	203	2	:	:	PUNCT
ejpam-6065	203	3	consider	consider	VERB
ejpam-6065	203	4	the	the	DET
ejpam-6065	203	5	following	follow	VERB
ejpam-6065	203	6	cases	case	NOUN
ejpam-6065	203	7	:	:	PUNCT
ejpam-6065	203	8	case	case	NOUN
ejpam-6065	203	9	1	1	NUM
ejpam-6065	203	10	.	.	PUNCT
ejpam-6065	203	11	suppose	suppose	VERB
ejpam-6065	203	12	that	that	SCONJ
ejpam-6065	203	13	γ(g	γ(g	PROPN
ejpam-6065	203	14	)	)	PUNCT
ejpam-6065	203	15	=	=	SYM
ejpam-6065	203	16	1	1	NUM
ejpam-6065	203	17	<	<	X
ejpam-6065	203	18	γ(h	γ(h	NOUN
ejpam-6065	203	19	)	)	PUNCT
ejpam-6065	203	20	and	and	CCONJ
ejpam-6065	203	21	g	g	PROPN
ejpam-6065	203	22	has	have	AUX
ejpam-6065	203	23	unique	unique	ADJ
ejpam-6065	203	24	γ	γ	X
ejpam-6065	203	25	-	-	PUNCT
ejpam-6065	203	26	set	set	NOUN
ejpam-6065	203	27	.	.	PUNCT
ejpam-6065	204	1	by	by	ADP
ejpam-6065	204	2	corollary	corollary	ADJ
ejpam-6065	204	3	2.5	2.5	NUM
ejpam-6065	204	4	,	,	PUNCT
ejpam-6065	204	5	γcl(g+h	γcl(g+h	ADJ
ejpam-6065	204	6	)	)	PUNCT
ejpam-6065	205	1	=	=	SYM
ejpam-6065	205	2	1	1	X
ejpam-6065	205	3	.	.	PUNCT
ejpam-6065	205	4	suppose	suppose	VERB
ejpam-6065	205	5	that	that	SCONJ
ejpam-6065	205	6	s	s	VERB
ejpam-6065	205	7	is	be	AUX
ejpam-6065	205	8	the	the	DET
ejpam-6065	205	9	unique	unique	ADJ
ejpam-6065	205	10	γ	γ	NOUN
ejpam-6065	205	11	-	-	PUNCT
ejpam-6065	205	12	set	set	NOUN
ejpam-6065	205	13	of	of	ADP
ejpam-6065	205	14	g.	g.	PROPN
ejpam-6065	205	15	then	then	ADV
ejpam-6065	205	16	|s|	|s|	PROPN
ejpam-6065	205	17	=	=	SYM
ejpam-6065	205	18	1	1	NUM
ejpam-6065	205	19	,	,	PUNCT
ejpam-6065	205	20	say	say	VERB
ejpam-6065	205	21	s	s	X
ejpam-6065	205	22	=	=	PUNCT
ejpam-6065	205	23	{	{	PUNCT
ejpam-6065	205	24	u	u	NOUN
ejpam-6065	205	25	}	}	PUNCT
ejpam-6065	205	26	for	for	ADP
ejpam-6065	205	27	a	a	DET
ejpam-6065	205	28	unique	unique	ADJ
ejpam-6065	205	29	vertex	vertex	NOUN
ejpam-6065	205	30	u	u	NOUN
ejpam-6065	205	31	of	of	ADP
ejpam-6065	205	32	v	v	NOUN
ejpam-6065	205	33	(	(	PUNCT
ejpam-6065	205	34	g	g	NOUN
ejpam-6065	205	35	)	)	PUNCT
ejpam-6065	205	36	and	and	CCONJ
ejpam-6065	205	37	by	by	ADP
ejpam-6065	205	38	theorem	theorem	NOUN
ejpam-6065	205	39	2.3	2.3	NUM
ejpam-6065	205	40	,	,	PUNCT
ejpam-6065	205	41	s	s	VERB
ejpam-6065	205	42	is	be	AUX
ejpam-6065	205	43	a	a	DET
ejpam-6065	205	44	γcl	γcl	NOUN
ejpam-6065	205	45	-	-	PUNCT
ejpam-6065	205	46	set	set	NOUN
ejpam-6065	205	47	of	of	ADP
ejpam-6065	205	48	g.	g.	PROPN
ejpam-6065	205	49	by	by	ADP
ejpam-6065	205	50	theorem	theorem	NOUN
ejpam-6065	205	51	2.4	2.4	NUM
ejpam-6065	205	52	,	,	PUNCT
ejpam-6065	205	53	s	s	VERB
ejpam-6065	205	54	is	be	AUX
ejpam-6065	205	55	the	the	DET
ejpam-6065	205	56	only	only	ADJ
ejpam-6065	205	57	γcl	γcl	NOUN
ejpam-6065	205	58	-	-	PUNCT
ejpam-6065	205	59	set	set	NOUN
ejpam-6065	205	60	of	of	ADP
ejpam-6065	205	61	g+h	g+h	PROPN
ejpam-6065	205	62	.	.	PUNCT
ejpam-6065	206	1	by	by	ADP
ejpam-6065	206	2	theorem	theorem	ADJ
ejpam-6065	206	3	3.1	3.1	NUM
ejpam-6065	206	4	(	(	PUNCT
ejpam-6065	206	5	i	i	NOUN
ejpam-6065	206	6	)	)	PUNCT
ejpam-6065	206	7	,	,	PUNCT
ejpam-6065	206	8	fγcl(g+h	fγcl(g+h	PROPN
ejpam-6065	206	9	)	)	PUNCT
ejpam-6065	206	10	=	=	SYM
ejpam-6065	206	11	0	0	X
ejpam-6065	206	12	.	.	PUNCT
ejpam-6065	206	13	similarly	similarly	ADV
ejpam-6065	206	14	,	,	PUNCT
ejpam-6065	206	15	fγcl(g+h	fγcl(g+h	PROPN
ejpam-6065	206	16	)	)	PUNCT
ejpam-6065	206	17	=	=	SYM
ejpam-6065	206	18	0	0	PUNCT
ejpam-6065	206	19	if	if	SCONJ
ejpam-6065	206	20	γ(h	γ(h	NOUN
ejpam-6065	206	21	)	)	PUNCT
ejpam-6065	206	22	=	=	SYM
ejpam-6065	206	23	1	1	NUM
ejpam-6065	206	24	<	<	X
ejpam-6065	206	25	γ(g	γ(g	PROPN
ejpam-6065	206	26	)	)	PUNCT
ejpam-6065	206	27	and	and	CCONJ
ejpam-6065	206	28	h	h	NOUN
ejpam-6065	206	29	has	have	VERB
ejpam-6065	206	30	a	a	DET
ejpam-6065	206	31	unique	unique	ADJ
ejpam-6065	206	32	γ	γ	NOUN
ejpam-6065	206	33	-	-	PUNCT
ejpam-6065	206	34	set	set	NOUN
ejpam-6065	206	35	.	.	PUNCT
ejpam-6065	207	1	case	case	NOUN
ejpam-6065	207	2	2	2	X
ejpam-6065	207	3	.	.	PUNCT
ejpam-6065	207	4	suppose	suppose	VERB
ejpam-6065	207	5	that	that	SCONJ
ejpam-6065	207	6	γ(g	γ(g	PROPN
ejpam-6065	207	7	)	)	PUNCT
ejpam-6065	207	8	=	=	SYM
ejpam-6065	207	9	1	1	NUM
ejpam-6065	207	10	<	<	X
ejpam-6065	207	11	γ(h	γ(h	NOUN
ejpam-6065	207	12	)	)	PUNCT
ejpam-6065	207	13	and	and	CCONJ
ejpam-6065	207	14	g	g	PROPN
ejpam-6065	207	15	has	have	VERB
ejpam-6065	207	16	no	no	DET
ejpam-6065	207	17	unique	unique	ADJ
ejpam-6065	207	18	γ	γ	NOUN
ejpam-6065	207	19	-	-	PUNCT
ejpam-6065	207	20	set	set	NOUN
ejpam-6065	207	21	.	.	PUNCT
ejpam-6065	208	1	by	by	ADP
ejpam-6065	208	2	corollary	corollary	ADJ
ejpam-6065	208	3	2.5	2.5	NUM
ejpam-6065	208	4	,	,	PUNCT
ejpam-6065	208	5	γcl(g	γcl(g	PROPN
ejpam-6065	208	6	+	+	NUM
ejpam-6065	208	7	h	h	NOUN
ejpam-6065	208	8	)	)	PUNCT
ejpam-6065	208	9	=	=	SYM
ejpam-6065	208	10	1	1	X
ejpam-6065	208	11	.	.	PUNCT
ejpam-6065	209	1	let	let	VERB
ejpam-6065	209	2	s	s	PRON
ejpam-6065	209	3	and	and	CCONJ
ejpam-6065	209	4	t	t	PROPN
ejpam-6065	209	5	be	be	AUX
ejpam-6065	209	6	γ	γ	NOUN
ejpam-6065	209	7	-	-	PUNCT
ejpam-6065	209	8	sets	set	NOUN
ejpam-6065	209	9	of	of	ADP
ejpam-6065	209	10	g.	g.	PROPN
ejpam-6065	209	11	then	then	ADV
ejpam-6065	209	12	|s|	|s|	PROPN
ejpam-6065	209	13	=	=	SYM
ejpam-6065	209	14	|t	|t	NOUN
ejpam-6065	210	1	|	|	NOUN
ejpam-6065	210	2	=	=	SYM
ejpam-6065	210	3	1	1	NUM
ejpam-6065	210	4	and	and	CCONJ
ejpam-6065	210	5	by	by	ADP
ejpam-6065	210	6	theorem	theorem	ADJ
ejpam-6065	210	7	2.3	2.3	NUM
ejpam-6065	210	8	,	,	PUNCT
ejpam-6065	210	9	s	s	NOUN
ejpam-6065	210	10	and	and	CCONJ
ejpam-6065	210	11	t	t	PROPN
ejpam-6065	210	12	are	be	AUX
ejpam-6065	210	13	γcl	γcl	NOUN
ejpam-6065	210	14	-	-	PUNCT
ejpam-6065	210	15	sets	set	NOUN
ejpam-6065	210	16	of	of	ADP
ejpam-6065	210	17	g.	g.	PROPN
ejpam-6065	210	18	thus	thus	ADV
ejpam-6065	210	19	,	,	PUNCT
ejpam-6065	210	20	s	s	X
ejpam-6065	210	21	and	and	CCONJ
ejpam-6065	210	22	t	t	PROPN
ejpam-6065	210	23	are	be	AUX
ejpam-6065	210	24	γcl	γcl	NOUN
ejpam-6065	210	25	-	-	PUNCT
ejpam-6065	210	26	sets	set	NOUN
ejpam-6065	210	27	of	of	ADP
ejpam-6065	210	28	g	g	PROPN
ejpam-6065	210	29	+	+	CCONJ
ejpam-6065	210	30	h	h	NOUN
ejpam-6065	210	31	by	by	ADP
ejpam-6065	210	32	theorem	theorem	NOUN
ejpam-6065	210	33	2.4	2.4	NUM
ejpam-6065	210	34	.	.	PUNCT
ejpam-6065	211	1	then	then	ADV
ejpam-6065	211	2	there	there	PRON
ejpam-6065	211	3	exists	exist	VERB
ejpam-6065	211	4	a	a	DET
ejpam-6065	211	5	vertex	vertex	NOUN
ejpam-6065	211	6	u	u	NOUN
ejpam-6065	211	7	contained	contain	VERB
ejpam-6065	211	8	in	in	ADP
ejpam-6065	211	9	s	s	PRON
ejpam-6065	211	10	only	only	ADV
ejpam-6065	211	11	.	.	PUNCT
ejpam-6065	212	1	by	by	ADP
ejpam-6065	212	2	theorem	theorem	NOUN
ejpam-6065	212	3	3.1(ii	3.1(ii	NUM
ejpam-6065	212	4	)	)	PUNCT
ejpam-6065	212	5	,	,	PUNCT
ejpam-6065	212	6	fγcl(g+h	fγcl(g+h	PROPN
ejpam-6065	212	7	)	)	PUNCT
ejpam-6065	212	8	=	=	SYM
ejpam-6065	213	1	1	1	X
ejpam-6065	213	2	.	.	X
ejpam-6065	213	3	similarly	similarly	ADV
ejpam-6065	213	4	,	,	PUNCT
ejpam-6065	213	5	fγcl(g+h	fγcl(g+h	PROPN
ejpam-6065	213	6	)	)	PUNCT
ejpam-6065	213	7	=	=	SYM
ejpam-6065	213	8	1	1	NUM
ejpam-6065	213	9	if	if	SCONJ
ejpam-6065	213	10	γ(h	γ(h	NOUN
ejpam-6065	213	11	)	)	PUNCT
ejpam-6065	213	12	=	=	SYM
ejpam-6065	213	13	1	1	NUM
ejpam-6065	213	14	<	<	X
ejpam-6065	213	15	γ(g	γ(g	PROPN
ejpam-6065	213	16	)	)	PUNCT
ejpam-6065	213	17	and	and	CCONJ
ejpam-6065	213	18	h	h	NOUN
ejpam-6065	213	19	has	have	VERB
ejpam-6065	213	20	no	no	DET
ejpam-6065	213	21	unique	unique	ADJ
ejpam-6065	213	22	γ	γ	NOUN
ejpam-6065	213	23	-	-	PUNCT
ejpam-6065	213	24	set	set	NOUN
ejpam-6065	213	25	.	.	PUNCT
ejpam-6065	214	1	case	case	NOUN
ejpam-6065	214	2	3	3	X
ejpam-6065	214	3	.	.	PUNCT
ejpam-6065	214	4	suppose	suppose	VERB
ejpam-6065	214	5	that	that	SCONJ
ejpam-6065	214	6	γ(g	γ(g	PROPN
ejpam-6065	214	7	)	)	PUNCT
ejpam-6065	214	8	=	=	SYM
ejpam-6065	214	9	1	1	NUM
ejpam-6065	214	10	and	and	CCONJ
ejpam-6065	214	11	γ(h	γ(h	NOUN
ejpam-6065	214	12	)	)	PUNCT
ejpam-6065	214	13	=	=	SYM
ejpam-6065	214	14	1	1	X
ejpam-6065	214	15	.	.	PUNCT
ejpam-6065	214	16	by	by	ADP
ejpam-6065	214	17	corollary	corollary	ADJ
ejpam-6065	214	18	2.5	2.5	NUM
ejpam-6065	214	19	,	,	PUNCT
ejpam-6065	214	20	γcl(g	γcl(g	PROPN
ejpam-6065	214	21	+	+	NUM
ejpam-6065	214	22	h	h	NOUN
ejpam-6065	214	23	)	)	PUNCT
ejpam-6065	214	24	=	=	SYM
ejpam-6065	215	1	1	1	X
ejpam-6065	215	2	.	.	PUNCT
ejpam-6065	216	1	let	let	VERB
ejpam-6065	216	2	s	s	PRON
ejpam-6065	216	3	and	and	CCONJ
ejpam-6065	216	4	r	r	NOUN
ejpam-6065	216	5	be	be	AUX
ejpam-6065	216	6	γ	γ	X
ejpam-6065	216	7	-	-	NOUN
ejpam-6065	216	8	set	set	NOUN
ejpam-6065	216	9	of	of	ADP
ejpam-6065	216	10	g	g	PROPN
ejpam-6065	216	11	and	and	CCONJ
ejpam-6065	216	12	h	h	NOUN
ejpam-6065	216	13	,	,	PUNCT
ejpam-6065	216	14	respectively	respectively	ADV
ejpam-6065	216	15	.	.	PUNCT
ejpam-6065	217	1	by	by	ADP
ejpam-6065	217	2	theorem	theorem	ADJ
ejpam-6065	217	3	2.3	2.3	NUM
ejpam-6065	217	4	,	,	PUNCT
ejpam-6065	217	5	s	s	PART
ejpam-6065	217	6	and	and	CCONJ
ejpam-6065	217	7	r	r	NOUN
ejpam-6065	217	8	are	be	AUX
ejpam-6065	217	9	γcl	γcl	NOUN
ejpam-6065	217	10	-	-	PUNCT
ejpam-6065	217	11	sets	set	NOUN
ejpam-6065	217	12	of	of	ADP
ejpam-6065	217	13	g	g	PROPN
ejpam-6065	217	14	and	and	CCONJ
ejpam-6065	217	15	h	h	NOUN
ejpam-6065	217	16	,	,	PUNCT
ejpam-6065	217	17	respectively	respectively	ADV
ejpam-6065	217	18	.	.	PUNCT
ejpam-6065	218	1	then	then	ADV
ejpam-6065	218	2	by	by	ADP
ejpam-6065	218	3	theorem	theorem	ADJ
ejpam-6065	218	4	2.4	2.4	NUM
ejpam-6065	218	5	,	,	PUNCT
ejpam-6065	218	6	s	s	PART
ejpam-6065	218	7	and	and	CCONJ
ejpam-6065	218	8	r	r	NOUN
ejpam-6065	218	9	are	be	AUX
ejpam-6065	218	10	γcl	γcl	NOUN
ejpam-6065	218	11	-	-	PUNCT
ejpam-6065	218	12	sets	set	NOUN
ejpam-6065	218	13	of	of	ADP
ejpam-6065	218	14	g	g	PROPN
ejpam-6065	218	15	+	+	PROPN
ejpam-6065	218	16	h.	h.	PROPN
ejpam-6065	218	17	then	then	ADV
ejpam-6065	218	18	there	there	PRON
ejpam-6065	218	19	exists	exist	VERB
ejpam-6065	218	20	a	a	DET
ejpam-6065	218	21	vertex	vertex	NOUN
ejpam-6065	218	22	u	u	NOUN
ejpam-6065	218	23	contained	contain	VERB
ejpam-6065	218	24	in	in	ADP
ejpam-6065	218	25	s	s	PRON
ejpam-6065	218	26	only	only	ADV
ejpam-6065	218	27	.	.	PUNCT
ejpam-6065	219	1	by	by	ADP
ejpam-6065	219	2	theorem	theorem	NOUN
ejpam-6065	219	3	3.1(ii	3.1(ii	NUM
ejpam-6065	219	4	)	)	PUNCT
ejpam-6065	219	5	,	,	PUNCT
ejpam-6065	219	6	fγcl(g+h	fγcl(g+h	PROPN
ejpam-6065	219	7	)	)	PUNCT
ejpam-6065	219	8	=	=	SYM
ejpam-6065	219	9	1	1	X
ejpam-6065	219	10	.	.	X
ejpam-6065	219	11	case	case	NOUN
ejpam-6065	219	12	4	4	NUM
ejpam-6065	219	13	.	.	PUNCT
ejpam-6065	219	14	suppose	suppose	VERB
ejpam-6065	219	15	that	that	SCONJ
ejpam-6065	219	16	γ(g	γ(g	PROPN
ejpam-6065	219	17	)	)	PUNCT
ejpam-6065	219	18	>	>	X
ejpam-6065	219	19	1	1	NUM
ejpam-6065	219	20	and	and	CCONJ
ejpam-6065	219	21	γ(h	γ(h	NOUN
ejpam-6065	219	22	)	)	PUNCT
ejpam-6065	219	23	>	>	X
ejpam-6065	220	1	1	1	X
ejpam-6065	220	2	.	.	PUNCT
ejpam-6065	220	3	by	by	ADP
ejpam-6065	220	4	corollary	corollary	ADJ
ejpam-6065	220	5	2.5	2.5	NUM
ejpam-6065	220	6	,	,	PUNCT
ejpam-6065	220	7	γcl(g+h	γcl(g+h	ADJ
ejpam-6065	220	8	)	)	PUNCT
ejpam-6065	221	1	=	=	SYM
ejpam-6065	221	2	2	2	X
ejpam-6065	221	3	.	.	X
ejpam-6065	221	4	consider	consider	VERB
ejpam-6065	221	5	a	a	DET
ejpam-6065	221	6	γcl	γcl	NOUN
ejpam-6065	221	7	-	-	PUNCT
ejpam-6065	221	8	set	set	NOUN
ejpam-6065	221	9	s	s	PART
ejpam-6065	221	10	=	=	PUNCT
ejpam-6065	221	11	{	{	PUNCT
ejpam-6065	221	12	c	c	NOUN
ejpam-6065	221	13	,	,	PUNCT
ejpam-6065	221	14	d	d	NOUN
ejpam-6065	221	15	}	}	PUNCT
ejpam-6065	221	16	of	of	ADP
ejpam-6065	221	17	g+h	g+h	PROPN
ejpam-6065	221	18	,	,	PUNCT
ejpam-6065	221	19	where	where	SCONJ
ejpam-6065	221	20	c	c	PROPN
ejpam-6065	221	21	∈	∈	PROPN
ejpam-6065	221	22	v	v	ADP
ejpam-6065	221	23	(	(	PUNCT
ejpam-6065	221	24	g	g	NOUN
ejpam-6065	221	25	)	)	PUNCT
ejpam-6065	221	26	and	and	CCONJ
ejpam-6065	221	27	d	d	PROPN
ejpam-6065	221	28	∈	∈	PROPN
ejpam-6065	221	29	v	v	ADP
ejpam-6065	221	30	(	(	PUNCT
ejpam-6065	221	31	h	h	NOUN
ejpam-6065	221	32	)	)	PUNCT
ejpam-6065	221	33	.	.	PUNCT
ejpam-6065	222	1	pick	pick	VERB
ejpam-6065	222	2	x	x	SYM
ejpam-6065	222	3	∈	∈	PROPN
ejpam-6065	222	4	v	v	NOUN
ejpam-6065	222	5	(	(	PUNCT
ejpam-6065	222	6	g)\{c	g)\{c	NOUN
ejpam-6065	222	7	}	}	PUNCT
ejpam-6065	222	8	and	and	CCONJ
ejpam-6065	222	9	y	y	PROPN
ejpam-6065	222	10	∈	∈	PROPN
ejpam-6065	222	11	v	v	PROPN
ejpam-6065	222	12	(	(	PUNCT
ejpam-6065	222	13	h)\{d	h)\{d	NOUN
ejpam-6065	222	14	}	}	PUNCT
ejpam-6065	222	15	.	.	PUNCT
ejpam-6065	223	1	then	then	ADV
ejpam-6065	223	2	{	{	PUNCT
ejpam-6065	223	3	c	c	X
ejpam-6065	223	4	}	}	PUNCT
ejpam-6065	223	5	⊆	⊆	NUM
ejpam-6065	223	6	sy	sy	NOUN
ejpam-6065	223	7	=	=	SYM
ejpam-6065	223	8	{	{	PUNCT
ejpam-6065	223	9	c	c	X
ejpam-6065	223	10	,	,	PUNCT
ejpam-6065	223	11	y	y	NOUN
ejpam-6065	223	12	}	}	PUNCT
ejpam-6065	223	13	and	and	CCONJ
ejpam-6065	223	14	{	{	PUNCT
ejpam-6065	223	15	d	d	NOUN
ejpam-6065	223	16	}	}	PUNCT
ejpam-6065	223	17	⊆	⊆	NUM
ejpam-6065	223	18	sx	sx	NOUN
ejpam-6065	223	19	=	=	SYM
ejpam-6065	223	20	{	{	PUNCT
ejpam-6065	223	21	x	x	NOUN
ejpam-6065	223	22	,	,	PUNCT
ejpam-6065	223	23	d	d	NOUN
ejpam-6065	223	24	}	}	PUNCT
ejpam-6065	223	25	,	,	PUNCT
ejpam-6065	223	26	where	where	SCONJ
ejpam-6065	223	27	sx	sx	PROPN
ejpam-6065	223	28	and	and	CCONJ
ejpam-6065	223	29	sy	sy	PROPN
ejpam-6065	223	30	are	be	AUX
ejpam-6065	223	31	also	also	ADV
ejpam-6065	223	32	γcl	γcl	ADJ
ejpam-6065	223	33	-	-	PUNCT
ejpam-6065	223	34	sets	set	NOUN
ejpam-6065	223	35	of	of	ADP
ejpam-6065	223	36	g	g	PROPN
ejpam-6065	223	37	+	+	CCONJ
ejpam-6065	223	38	h	h	NOUN
ejpam-6065	223	39	different	different	ADJ
ejpam-6065	223	40	from	from	ADP
ejpam-6065	223	41	s.	s.	PROPN
ejpam-6065	223	42	thus	thus	ADV
ejpam-6065	223	43	,	,	PUNCT
ejpam-6065	223	44	fγcl(s	fγcl(s	ADJ
ejpam-6065	223	45	)	)	PUNCT
ejpam-6065	223	46	=	=	SYM
ejpam-6065	224	1	2	2	X
ejpam-6065	224	2	.	.	PUNCT
ejpam-6065	225	1	now	now	ADV
ejpam-6065	225	2	,	,	PUNCT
ejpam-6065	225	3	if	if	SCONJ
ejpam-6065	225	4	γ(g	γ(g	PROPN
ejpam-6065	225	5	)	)	PUNCT
ejpam-6065	225	6	=	=	SYM
ejpam-6065	225	7	2	2	NUM
ejpam-6065	225	8	,	,	PUNCT
ejpam-6065	225	9	then	then	ADV
ejpam-6065	225	10	by	by	ADP
ejpam-6065	225	11	theorem	theorem	ADJ
ejpam-6065	225	12	2.3	2.3	NUM
ejpam-6065	225	13	,	,	PUNCT
ejpam-6065	225	14	γcl(g	γcl(g	NUM
ejpam-6065	225	15	)	)	PUNCT
ejpam-6065	225	16	̸=	̸=	PROPN
ejpam-6065	225	17	1	1	NUM
ejpam-6065	225	18	.	.	PUNCT
ejpam-6065	226	1	thus	thus	ADV
ejpam-6065	226	2	,	,	PUNCT
ejpam-6065	226	3	γcl(g	γcl(g	X
ejpam-6065	226	4	)	)	PUNCT
ejpam-6065	226	5	=	=	SYM
ejpam-6065	226	6	2	2	NUM
ejpam-6065	226	7	or	or	CCONJ
ejpam-6065	226	8	γcl(g	γcl(g	NUM
ejpam-6065	226	9	)	)	PUNCT
ejpam-6065	226	10	is	be	AUX
ejpam-6065	226	11	undefined	undefined	ADJ
ejpam-6065	226	12	.	.	PUNCT
ejpam-6065	227	1	suppose	suppose	VERB
ejpam-6065	227	2	that	that	SCONJ
ejpam-6065	227	3	γcl(g	γcl(g	PROPN
ejpam-6065	227	4	)	)	PUNCT
ejpam-6065	227	5	is	be	AUX
ejpam-6065	227	6	undefined	undefined	ADJ
ejpam-6065	227	7	.	.	PUNCT
ejpam-6065	228	1	then	then	ADV
ejpam-6065	228	2	the	the	DET
ejpam-6065	228	3	set	set	NOUN
ejpam-6065	228	4	t	t	NOUN
ejpam-6065	228	5	=	=	SYM
ejpam-6065	228	6	{	{	PUNCT
ejpam-6065	228	7	e	e	NOUN
ejpam-6065	228	8	,	,	PUNCT
ejpam-6065	228	9	f	f	PROPN
ejpam-6065	228	10	}	}	PUNCT
ejpam-6065	228	11	,	,	PUNCT
ejpam-6065	228	12	where	where	SCONJ
ejpam-6065	228	13	e	e	X
ejpam-6065	228	14	∈	∈	PROPN
ejpam-6065	228	15	v	v	ADP
ejpam-6065	228	16	(	(	PUNCT
ejpam-6065	228	17	g	g	NOUN
ejpam-6065	228	18	)	)	PUNCT
ejpam-6065	228	19	and	and	CCONJ
ejpam-6065	228	20	f	f	PROPN
ejpam-6065	228	21	∈	∈	PROPN
ejpam-6065	228	22	v	v	ADP
ejpam-6065	228	23	(	(	PUNCT
ejpam-6065	228	24	h	h	NOUN
ejpam-6065	228	25	)	)	PUNCT
ejpam-6065	228	26	,	,	PUNCT
ejpam-6065	228	27	is	be	AUX
ejpam-6065	228	28	a	a	DET
ejpam-6065	228	29	γcl	γcl	NOUN
ejpam-6065	228	30	-	-	PUNCT
ejpam-6065	228	31	set	set	NOUN
ejpam-6065	228	32	of	of	ADP
ejpam-6065	228	33	g	g	PROPN
ejpam-6065	228	34	+	+	PROPN
ejpam-6065	228	35	h.	h.	PROPN
ejpam-6065	228	36	by	by	ADP
ejpam-6065	228	37	the	the	DET
ejpam-6065	228	38	previous	previous	ADJ
ejpam-6065	228	39	argument	argument	NOUN
ejpam-6065	228	40	,	,	PUNCT
ejpam-6065	228	41	fγcl(t	fγcl(t	NOUN
ejpam-6065	228	42	)	)	PUNCT
ejpam-6065	228	43	=	=	SYM
ejpam-6065	229	1	2	2	X
ejpam-6065	229	2	.	.	PUNCT
ejpam-6065	229	3	suppose	suppose	VERB
ejpam-6065	229	4	that	that	SCONJ
ejpam-6065	229	5	γcl(g	γcl(g	X
ejpam-6065	229	6	)	)	PUNCT
ejpam-6065	229	7	=	=	SYM
ejpam-6065	230	1	2	2	X
ejpam-6065	230	2	.	.	X
ejpam-6065	230	3	let	let	VERB
ejpam-6065	230	4	s′	s′	ADJ
ejpam-6065	230	5	=	=	PUNCT
ejpam-6065	230	6	{	{	PUNCT
ejpam-6065	230	7	g	g	PROPN
ejpam-6065	230	8	,	,	PUNCT
ejpam-6065	230	9	h	h	NOUN
ejpam-6065	230	10	}	}	PUNCT
ejpam-6065	230	11	be	be	AUX
ejpam-6065	230	12	a	a	DET
ejpam-6065	230	13	γcl	γcl	NOUN
ejpam-6065	230	14	-	-	PUNCT
ejpam-6065	230	15	set	set	NOUN
ejpam-6065	230	16	of	of	ADP
ejpam-6065	230	17	g	g	NOUN
ejpam-6065	230	18	and	and	CCONJ
ejpam-6065	230	19	by	by	ADP
ejpam-6065	230	20	theorem	theorem	ADJ
ejpam-6065	230	21	2.4	2.4	NUM
ejpam-6065	230	22	,	,	PUNCT
ejpam-6065	230	23	s′	s′	PRON
ejpam-6065	230	24	is	be	AUX
ejpam-6065	230	25	also	also	ADV
ejpam-6065	230	26	a	a	DET
ejpam-6065	230	27	γcl	γcl	NOUN
ejpam-6065	230	28	-	-	PUNCT
ejpam-6065	230	29	set	set	NOUN
ejpam-6065	230	30	of	of	ADP
ejpam-6065	230	31	g	g	PROPN
ejpam-6065	230	32	+	+	PROPN
ejpam-6065	230	33	h.	h.	PROPN
ejpam-6065	230	34	pick	pick	VERB
ejpam-6065	230	35	v	v	NUM
ejpam-6065	230	36	∈	∈	PROPN
ejpam-6065	230	37	v	v	NOUN
ejpam-6065	230	38	(	(	PUNCT
ejpam-6065	230	39	h	h	NOUN
ejpam-6065	230	40	)	)	PUNCT
ejpam-6065	230	41	.	.	PUNCT
ejpam-6065	231	1	then	then	ADV
ejpam-6065	231	2	{	{	PUNCT
ejpam-6065	231	3	g	g	NOUN
ejpam-6065	231	4	}	}	PUNCT
ejpam-6065	231	5	⊆	⊆	NUM
ejpam-6065	231	6	sg	sg	NOUN
ejpam-6065	231	7	=	=	PUNCT
ejpam-6065	231	8	{	{	PUNCT
ejpam-6065	231	9	g	g	PROPN
ejpam-6065	231	10	,	,	PUNCT
ejpam-6065	231	11	v	v	NOUN
ejpam-6065	231	12	}	}	PUNCT
ejpam-6065	231	13	and	and	CCONJ
ejpam-6065	231	14	{	{	PUNCT
ejpam-6065	231	15	h	h	NOUN
ejpam-6065	231	16	}	}	PUNCT
ejpam-6065	231	17	⊆	⊆	NUM
ejpam-6065	231	18	sh	sh	NOUN
ejpam-6065	231	19	=	=	SYM
ejpam-6065	231	20	{	{	PUNCT
ejpam-6065	231	21	h	h	NOUN
ejpam-6065	231	22	,	,	PUNCT
ejpam-6065	231	23	v	v	NOUN
ejpam-6065	231	24	}	}	PUNCT
ejpam-6065	231	25	where	where	SCONJ
ejpam-6065	231	26	sg	sg	PROPN
ejpam-6065	231	27	and	and	CCONJ
ejpam-6065	231	28	sh	sh	PROPN
ejpam-6065	231	29	are	be	AUX
ejpam-6065	231	30	γcl	γcl	NOUN
ejpam-6065	231	31	-	-	PUNCT
ejpam-6065	231	32	sets	set	NOUN
ejpam-6065	231	33	of	of	ADP
ejpam-6065	231	34	g+h	g+h	NOUN
ejpam-6065	231	35	different	different	ADJ
ejpam-6065	231	36	from	from	ADP
ejpam-6065	231	37	s′.	s′.	PROPN
ejpam-6065	231	38	thus	thus	ADV
ejpam-6065	231	39	,	,	PUNCT
ejpam-6065	231	40	fγcl(s′	fγcl(s′	PROPN
ejpam-6065	231	41	)	)	PUNCT
ejpam-6065	231	42	=	=	SYM
ejpam-6065	232	1	2	2	X
ejpam-6065	232	2	.	.	X
ejpam-6065	232	3	similarly	similarly	ADV
ejpam-6065	232	4	,	,	PUNCT
ejpam-6065	232	5	if	if	SCONJ
ejpam-6065	232	6	γ(h	γ(h	NOUN
ejpam-6065	232	7	)	)	PUNCT
ejpam-6065	232	8	=	=	SYM
ejpam-6065	233	1	2	2	NUM
ejpam-6065	233	2	,	,	PUNCT
ejpam-6065	233	3	then	then	ADV
ejpam-6065	233	4	for	for	ADP
ejpam-6065	233	5	any	any	DET
ejpam-6065	233	6	γcl	γcl	PROPN
ejpam-6065	233	7	-	-	PUNCT
ejpam-6065	233	8	set	set	VERB
ejpam-6065	233	9	s∗	s∗	NOUN
ejpam-6065	233	10	of	of	ADP
ejpam-6065	233	11	g+h	g+h	PROPN
ejpam-6065	233	12	,	,	PUNCT
ejpam-6065	233	13	fγcl(s∗	fγcl(s∗	PROPN
ejpam-6065	233	14	)	)	PUNCT
ejpam-6065	233	15	=	=	SYM
ejpam-6065	234	1	2	2	X
ejpam-6065	234	2	.	.	X
ejpam-6065	234	3	in	in	ADP
ejpam-6065	234	4	any	any	DET
ejpam-6065	234	5	case	case	NOUN
ejpam-6065	234	6	,	,	PUNCT
ejpam-6065	234	7	fγcl(g+h	fγcl(g+h	PROPN
ejpam-6065	234	8	)	)	PUNCT
ejpam-6065	234	9	=	=	SYM
ejpam-6065	235	1	2	2	X
ejpam-6065	235	2	.	.	PUNCT
ejpam-6065	235	3	the	the	DET
ejpam-6065	235	4	next	next	ADJ
ejpam-6065	235	5	result	result	NOUN
ejpam-6065	235	6	follows	follow	VERB
ejpam-6065	235	7	from	from	ADP
ejpam-6065	235	8	theorem	theorem	ADJ
ejpam-6065	235	9	3.8	3.8	NUM
ejpam-6065	235	10	and	and	CCONJ
ejpam-6065	235	11	corollary	corollary	ADJ
ejpam-6065	235	12	2.5	2.5	NUM
ejpam-6065	235	13	.	.	PUNCT
ejpam-6065	236	1	c.	c.	PROPN
ejpam-6065	236	2	l.	l.	PROPN
ejpam-6065	236	3	armada	armada	PROPN
ejpam-6065	236	4	et	et	PROPN
ejpam-6065	236	5	al	al	PROPN
ejpam-6065	236	6	.	.	PUNCT
ejpam-6065	236	7	/	/	SYM
ejpam-6065	236	8	eur	eur	PROPN
ejpam-6065	236	9	.	.	PUNCT
ejpam-6065	237	1	j.	j.	PROPN
ejpam-6065	237	2	pure	pure	PROPN
ejpam-6065	237	3	appl	appl	PROPN
ejpam-6065	237	4	.	.	PROPN
ejpam-6065	237	5	math	math	PROPN
ejpam-6065	237	6	,	,	PUNCT
ejpam-6065	237	7	18	18	NUM
ejpam-6065	237	8	(	(	PUNCT
ejpam-6065	237	9	2	2	NUM
ejpam-6065	237	10	)	)	PUNCT
ejpam-6065	237	11	(	(	PUNCT
ejpam-6065	237	12	2025	2025	NUM
ejpam-6065	237	13	)	)	PUNCT
ejpam-6065	237	14	,	,	PUNCT
ejpam-6065	237	15	6065	6065	NUM
ejpam-6065	237	16	10	10	NUM
ejpam-6065	237	17	of	of	ADP
ejpam-6065	237	18	14	14	NUM
ejpam-6065	237	19	corollary	corollary	ADJ
ejpam-6065	237	20	3.9	3.9	NUM
ejpam-6065	237	21	.	.	PUNCT
ejpam-6065	238	1	for	for	ADP
ejpam-6065	238	2	any	any	DET
ejpam-6065	238	3	graph	graph	NOUN
ejpam-6065	238	4	h	h	NOUN
ejpam-6065	238	5	,	,	PUNCT
ejpam-6065	238	6	γcl(k1	γcl(k1	PROPN
ejpam-6065	238	7	+	+	NOUN
ejpam-6065	238	8	h	h	NOUN
ejpam-6065	238	9	)	)	PUNCT
ejpam-6065	238	10	=	=	SYM
ejpam-6065	238	11	1	1	NUM
ejpam-6065	238	12	and	and	CCONJ
ejpam-6065	238	13	fγcl(k1	fγcl(k1	NOUN
ejpam-6065	238	14	+	+	PROPN
ejpam-6065	238	15	h	h	NOUN
ejpam-6065	238	16	)	)	PUNCT
ejpam-6065	238	17	=	=	NOUN
ejpam-6065	238	18	{	{	PUNCT
ejpam-6065	238	19	0	0	NUM
ejpam-6065	238	20	,	,	PUNCT
ejpam-6065	238	21	γ(h	γ(h	NOUN
ejpam-6065	238	22	)	)	PUNCT
ejpam-6065	238	23	>	>	X
ejpam-6065	238	24	1	1	NUM
ejpam-6065	238	25	,	,	PUNCT
ejpam-6065	238	26	1	1	NUM
ejpam-6065	238	27	,	,	PUNCT
ejpam-6065	238	28	γ(h	γ(h	NOUN
ejpam-6065	238	29	)	)	PUNCT
ejpam-6065	238	30	=	=	SYM
ejpam-6065	239	1	1	1	X
ejpam-6065	239	2	.	.	PUNCT
ejpam-6065	240	1	the	the	DET
ejpam-6065	240	2	next	next	ADJ
ejpam-6065	240	3	results	result	NOUN
ejpam-6065	240	4	are	be	AUX
ejpam-6065	240	5	direct	direct	ADJ
ejpam-6065	240	6	consequences	consequence	NOUN
ejpam-6065	240	7	of	of	ADP
ejpam-6065	240	8	theorem	theorem	ADJ
ejpam-6065	240	9	3.8	3.8	NUM
ejpam-6065	240	10	,	,	PUNCT
ejpam-6065	240	11	and	and	CCONJ
ejpam-6065	240	12	corollaries	corollary	NOUN
ejpam-6065	240	13	2.5	2.5	NUM
ejpam-6065	240	14	and	and	CCONJ
ejpam-6065	240	15	3.9	3.9	NUM
ejpam-6065	240	16	.	.	PUNCT
ejpam-6065	241	1	corollary	corollary	ADJ
ejpam-6065	241	2	3.10	3.10	NUM
ejpam-6065	241	3	.	.	PUNCT
ejpam-6065	242	1	let	let	VERB
ejpam-6065	242	2	n	n	PRON
ejpam-6065	242	3	and	and	CCONJ
ejpam-6065	242	4	m	m	AUX
ejpam-6065	242	5	be	be	AUX
ejpam-6065	242	6	positive	positive	ADJ
ejpam-6065	242	7	integers	integer	NOUN
ejpam-6065	242	8	.	.	PUNCT
ejpam-6065	243	1	for	for	ADP
ejpam-6065	243	2	a	a	DET
ejpam-6065	243	3	complete	complete	ADJ
ejpam-6065	243	4	bipartite	bipartite	NOUN
ejpam-6065	243	5	graph	graph	NOUN
ejpam-6065	243	6	kn	kn	PROPN
ejpam-6065	243	7	,	,	PUNCT
ejpam-6065	243	8	m	m	VERB
ejpam-6065	243	9	=	=	ADJ
ejpam-6065	243	10	kn	kn	PROPN
ejpam-6065	243	11	+	+	PROPN
ejpam-6065	243	12	km	km	NOUN
ejpam-6065	243	13	where	where	SCONJ
ejpam-6065	243	14	n	n	NUM
ejpam-6065	243	15	≥	≥	NOUN
ejpam-6065	243	16	1	1	NUM
ejpam-6065	243	17	and	and	CCONJ
ejpam-6065	243	18	m	m	PROPN
ejpam-6065	243	19	≥	≥	NOUN
ejpam-6065	243	20	1	1	NUM
ejpam-6065	243	21	,	,	PUNCT
ejpam-6065	243	22	γcl(kn	γcl(kn	NOUN
ejpam-6065	243	23	,	,	PUNCT
ejpam-6065	243	24	m	m	NOUN
ejpam-6065	243	25	)	)	PUNCT
ejpam-6065	243	26	=	=	PRON
ejpam-6065	243	27	{	{	PUNCT
ejpam-6065	243	28	1	1	NUM
ejpam-6065	243	29	,	,	PUNCT
ejpam-6065	243	30	if	if	SCONJ
ejpam-6065	243	31	either	either	CCONJ
ejpam-6065	243	32	n	n	CCONJ
ejpam-6065	243	33	=	=	SYM
ejpam-6065	243	34	1	1	NUM
ejpam-6065	243	35	orm	orm	NOUN
ejpam-6065	243	36	=	=	SYM
ejpam-6065	243	37	1	1	NUM
ejpam-6065	243	38	,	,	PUNCT
ejpam-6065	243	39	2	2	NUM
ejpam-6065	243	40	,	,	PUNCT
ejpam-6065	243	41	if	if	SCONJ
ejpam-6065	243	42	n	n	PRON
ejpam-6065	243	43	≥	≥	NOUN
ejpam-6065	243	44	2	2	NUM
ejpam-6065	243	45	andm	andm	NOUN
ejpam-6065	243	46	≥	≥	NOUN
ejpam-6065	243	47	2	2	NUM
ejpam-6065	243	48	.	.	PUNCT
ejpam-6065	243	49	and	and	CCONJ
ejpam-6065	243	50	fγcl(kn	fγcl(kn	PROPN
ejpam-6065	243	51	,	,	PUNCT
ejpam-6065	243	52	m	m	NOUN
ejpam-6065	243	53	)	)	PUNCT
ejpam-6065	244	1	=	=	SYM
ejpam-6065	244	2			NOUN
ejpam-6065	244	3	0	0	NUM
ejpam-6065	244	4	,	,	PUNCT
ejpam-6065	244	5	if	if	SCONJ
ejpam-6065	244	6	n	n	NOUN
ejpam-6065	244	7	=	=	SYM
ejpam-6065	244	8	1	1	NUM
ejpam-6065	244	9	andm	andm	NOUN
ejpam-6065	244	10	≥	≥	NUM
ejpam-6065	244	11	2	2	NUM
ejpam-6065	244	12	orm	orm	NOUN
ejpam-6065	244	13	=	=	SYM
ejpam-6065	244	14	1	1	NUM
ejpam-6065	244	15	andn	andn	ADJ
ejpam-6065	244	16	≥	≥	NUM
ejpam-6065	244	17	2	2	NUM
ejpam-6065	244	18	,	,	PUNCT
ejpam-6065	244	19	1	1	NUM
ejpam-6065	244	20	,	,	PUNCT
ejpam-6065	244	21	if	if	SCONJ
ejpam-6065	244	22	n	n	NOUN
ejpam-6065	244	23	=	=	SYM
ejpam-6065	244	24	1	1	NUM
ejpam-6065	244	25	andm	andm	NOUN
ejpam-6065	244	26	=	=	SYM
ejpam-6065	244	27	1	1	NUM
ejpam-6065	244	28	,	,	PUNCT
ejpam-6065	244	29	2	2	NUM
ejpam-6065	244	30	,	,	PUNCT
ejpam-6065	244	31	if	if	SCONJ
ejpam-6065	244	32	n	n	PRON
ejpam-6065	244	33	≥	≥	NOUN
ejpam-6065	244	34	2	2	NUM
ejpam-6065	244	35	andm	andm	NOUN
ejpam-6065	244	36	≥	≥	NOUN
ejpam-6065	244	37	2	2	NUM
ejpam-6065	244	38	.	.	PUNCT
ejpam-6065	244	39	corollary	corollary	ADJ
ejpam-6065	244	40	3.11	3.11	NUM
ejpam-6065	244	41	.	.	PUNCT
ejpam-6065	245	1	for	for	ADP
ejpam-6065	245	2	the	the	DET
ejpam-6065	245	3	generalized	generalized	ADJ
ejpam-6065	245	4	fan	fan	NOUN
ejpam-6065	245	5	fn	fn	PROPN
ejpam-6065	245	6	,	,	PUNCT
ejpam-6065	245	7	m	m	VERB
ejpam-6065	245	8	=	=	ADJ
ejpam-6065	245	9	kn	kn	PROPN
ejpam-6065	245	10	+	+	CCONJ
ejpam-6065	245	11	pm	pm	PROPN
ejpam-6065	245	12	,	,	PUNCT
ejpam-6065	245	13	where	where	SCONJ
ejpam-6065	245	14	n	n	PRON
ejpam-6065	245	15	≥	≥	NOUN
ejpam-6065	245	16	1	1	NUM
ejpam-6065	245	17	and	and	CCONJ
ejpam-6065	245	18	m	m	PROPN
ejpam-6065	245	19	≥	≥	NOUN
ejpam-6065	245	20	2	2	NUM
ejpam-6065	245	21	,	,	PUNCT
ejpam-6065	245	22	γcl(fn	γcl(fn	X
ejpam-6065	245	23	,	,	PUNCT
ejpam-6065	245	24	m	m	NOUN
ejpam-6065	245	25	)	)	PUNCT
ejpam-6065	245	26	=	=	PRON
ejpam-6065	245	27	{	{	PUNCT
ejpam-6065	245	28	1	1	NUM
ejpam-6065	245	29	,	,	PUNCT
ejpam-6065	245	30	if	if	SCONJ
ejpam-6065	245	31	either	either	CCONJ
ejpam-6065	245	32	n	n	CCONJ
ejpam-6065	245	33	=	=	SYM
ejpam-6065	245	34	1	1	NUM
ejpam-6065	245	35	orm	orm	NOUN
ejpam-6065	245	36	<	<	X
ejpam-6065	245	37	4	4	NUM
ejpam-6065	245	38	,	,	PUNCT
ejpam-6065	245	39	2	2	NUM
ejpam-6065	245	40	,	,	PUNCT
ejpam-6065	245	41	if	if	SCONJ
ejpam-6065	245	42	n	n	PRON
ejpam-6065	245	43	≥	≥	NOUN
ejpam-6065	245	44	2	2	NUM
ejpam-6065	245	45	andm	andm	NOUN
ejpam-6065	245	46	≥	≥	NOUN
ejpam-6065	245	47	4	4	NUM
ejpam-6065	245	48	.	.	PUNCT
ejpam-6065	245	49	and	and	CCONJ
ejpam-6065	245	50	fγcl(fn	fγcl(fn	PROPN
ejpam-6065	245	51	,	,	PUNCT
ejpam-6065	245	52	m	m	NOUN
ejpam-6065	245	53	)	)	PUNCT
ejpam-6065	246	1	=	=	SYM
ejpam-6065	246	2			NOUN
ejpam-6065	246	3	0	0	NUM
ejpam-6065	246	4	,	,	PUNCT
ejpam-6065	246	5	if	if	SCONJ
ejpam-6065	246	6	either	either	CCONJ
ejpam-6065	246	7	n	n	CCONJ
ejpam-6065	246	8	=	=	SYM
ejpam-6065	246	9	1	1	NUM
ejpam-6065	246	10	andm	andm	PROPN
ejpam-6065	246	11	≥	≥	NUM
ejpam-6065	246	12	4	4	NUM
ejpam-6065	246	13	or	or	CCONJ
ejpam-6065	246	14	n	n	PRON
ejpam-6065	246	15	≥	≥	NOUN
ejpam-6065	246	16	2	2	NUM
ejpam-6065	246	17	andm	andm	NOUN
ejpam-6065	246	18	=	=	SYM
ejpam-6065	246	19	3	3	NUM
ejpam-6065	246	20	,	,	PUNCT
ejpam-6065	246	21	1	1	NUM
ejpam-6065	246	22	,	,	PUNCT
ejpam-6065	246	23	if	if	SCONJ
ejpam-6065	246	24	either	either	CCONJ
ejpam-6065	246	25	n	n	CCONJ
ejpam-6065	246	26	=	=	SYM
ejpam-6065	246	27	1	1	NUM
ejpam-6065	246	28	andm	andm	NOUN
ejpam-6065	246	29	<	<	X
ejpam-6065	246	30	4	4	NUM
ejpam-6065	246	31	or	or	CCONJ
ejpam-6065	246	32	n	n	PRON
ejpam-6065	246	33	≥	≥	NOUN
ejpam-6065	246	34	2	2	NUM
ejpam-6065	246	35	andm	andm	NOUN
ejpam-6065	246	36	=	=	SYM
ejpam-6065	246	37	2	2	NUM
ejpam-6065	246	38	,	,	PUNCT
ejpam-6065	246	39	2	2	NUM
ejpam-6065	246	40	,	,	PUNCT
ejpam-6065	246	41	if	if	SCONJ
ejpam-6065	246	42	n	n	PRON
ejpam-6065	246	43	≥	≥	NOUN
ejpam-6065	246	44	2	2	NUM
ejpam-6065	246	45	andm	andm	NOUN
ejpam-6065	246	46	≥	≥	NOUN
ejpam-6065	246	47	4	4	NUM
ejpam-6065	246	48	.	.	PUNCT
ejpam-6065	246	49	corollary	corollary	ADJ
ejpam-6065	246	50	3.12	3.12	NUM
ejpam-6065	246	51	.	.	PUNCT
ejpam-6065	247	1	for	for	ADP
ejpam-6065	247	2	the	the	DET
ejpam-6065	247	3	generalized	generalize	VERB
ejpam-6065	247	4	wheel	wheel	NOUN
ejpam-6065	247	5	wn	wn	PROPN
ejpam-6065	247	6	,	,	PUNCT
ejpam-6065	247	7	m	m	VERB
ejpam-6065	247	8	=	=	ADJ
ejpam-6065	247	9	kn	kn	PROPN
ejpam-6065	247	10	+	+	CCONJ
ejpam-6065	247	11	cm	cm	NOUN
ejpam-6065	247	12	,	,	PUNCT
ejpam-6065	247	13	where	where	SCONJ
ejpam-6065	247	14	n	n	PRON
ejpam-6065	247	15	≥	≥	NOUN
ejpam-6065	247	16	1	1	NUM
ejpam-6065	247	17	and	and	CCONJ
ejpam-6065	247	18	m	m	PROPN
ejpam-6065	247	19	≥	≥	NOUN
ejpam-6065	247	20	3	3	NUM
ejpam-6065	247	21	,	,	PUNCT
ejpam-6065	247	22	γcl(wn	γcl(wn	NOUN
ejpam-6065	247	23	,	,	PUNCT
ejpam-6065	247	24	m	m	NOUN
ejpam-6065	247	25	)	)	PUNCT
ejpam-6065	247	26	=	=	PRON
ejpam-6065	247	27	{	{	PUNCT
ejpam-6065	247	28	1	1	NUM
ejpam-6065	247	29	,	,	PUNCT
ejpam-6065	247	30	if	if	SCONJ
ejpam-6065	247	31	either	either	CCONJ
ejpam-6065	247	32	n	n	CCONJ
ejpam-6065	247	33	=	=	SYM
ejpam-6065	247	34	1	1	NUM
ejpam-6065	247	35	orm	orm	NOUN
ejpam-6065	247	36	=	=	SYM
ejpam-6065	247	37	3	3	NUM
ejpam-6065	247	38	,	,	PUNCT
ejpam-6065	247	39	2	2	NUM
ejpam-6065	247	40	,	,	PUNCT
ejpam-6065	247	41	if	if	SCONJ
ejpam-6065	247	42	n	n	PRON
ejpam-6065	247	43	≥	≥	NOUN
ejpam-6065	247	44	2	2	NUM
ejpam-6065	247	45	andm	andm	NOUN
ejpam-6065	247	46	≥	≥	NOUN
ejpam-6065	247	47	4	4	NUM
ejpam-6065	247	48	.	.	PUNCT
ejpam-6065	247	49	and	and	CCONJ
ejpam-6065	247	50	fγcl(wn	fγcl(wn	PROPN
ejpam-6065	247	51	,	,	PUNCT
ejpam-6065	247	52	m	m	NOUN
ejpam-6065	247	53	)	)	PUNCT
ejpam-6065	247	54	=	=	SYM
ejpam-6065	248	1			NOUN
ejpam-6065	248	2	0	0	NUM
ejpam-6065	248	3	,	,	PUNCT
ejpam-6065	248	4	if	if	SCONJ
ejpam-6065	248	5	n	n	NOUN
ejpam-6065	248	6	=	=	SYM
ejpam-6065	248	7	1	1	NUM
ejpam-6065	248	8	andm	andm	NOUN
ejpam-6065	248	9	≥	≥	NUM
ejpam-6065	248	10	4	4	NUM
ejpam-6065	248	11	,	,	PUNCT
ejpam-6065	248	12	1	1	NUM
ejpam-6065	248	13	,	,	PUNCT
ejpam-6065	248	14	if	if	SCONJ
ejpam-6065	248	15	m	m	ADV
ejpam-6065	248	16	=	=	NOUN
ejpam-6065	248	17	3	3	NUM
ejpam-6065	248	18	,	,	PUNCT
ejpam-6065	248	19	2	2	NUM
ejpam-6065	248	20	,	,	PUNCT
ejpam-6065	248	21	if	if	SCONJ
ejpam-6065	248	22	n	n	PRON
ejpam-6065	248	23	≥	≥	NOUN
ejpam-6065	248	24	2	2	NUM
ejpam-6065	248	25	andm	andm	NOUN
ejpam-6065	248	26	≥	≥	PROPN
ejpam-6065	248	27	4	4	NUM
ejpam-6065	248	28	.	.	PUNCT
ejpam-6065	248	29	theorem	theorem	VERB
ejpam-6065	248	30	3.13	3.13	NUM
ejpam-6065	248	31	.	.	PUNCT
ejpam-6065	249	1	let	let	VERB
ejpam-6065	249	2	g	g	PRON
ejpam-6065	249	3	be	be	AUX
ejpam-6065	249	4	a	a	DET
ejpam-6065	249	5	trivial	trivial	ADJ
ejpam-6065	249	6	graph	graph	NOUN
ejpam-6065	249	7	and	and	CCONJ
ejpam-6065	249	8	h	h	NOUN
ejpam-6065	249	9	be	be	AUX
ejpam-6065	249	10	any	any	DET
ejpam-6065	249	11	graph	graph	NOUN
ejpam-6065	249	12	.	.	PUNCT
ejpam-6065	250	1	then	then	ADV
ejpam-6065	250	2	s	s	VERB
ejpam-6065	250	3	is	be	AUX
ejpam-6065	250	4	a	a	DET
ejpam-6065	250	5	γcl	γcl	NOUN
ejpam-6065	250	6	-	-	PUNCT
ejpam-6065	250	7	set	set	NOUN
ejpam-6065	250	8	of	of	ADP
ejpam-6065	250	9	g	g	PROPN
ejpam-6065	250	10	◦	◦	NOUN
ejpam-6065	250	11	h	h	NOUN
ejpam-6065	250	12	if	if	SCONJ
ejpam-6065	251	1	and	and	CCONJ
ejpam-6065	251	2	only	only	ADV
ejpam-6065	251	3	if	if	SCONJ
ejpam-6065	251	4	s	s	VERB
ejpam-6065	251	5	=	=	SYM
ejpam-6065	251	6	v	v	X
ejpam-6065	251	7	(	(	PUNCT
ejpam-6065	251	8	g	g	NOUN
ejpam-6065	251	9	)	)	PUNCT
ejpam-6065	251	10	or	or	CCONJ
ejpam-6065	251	11	s	s	VERB
ejpam-6065	251	12	is	be	AUX
ejpam-6065	251	13	a	a	DET
ejpam-6065	251	14	γ	γ	NOUN
ejpam-6065	251	15	-	-	PUNCT
ejpam-6065	251	16	set	set	NOUN
ejpam-6065	251	17	of	of	ADP
ejpam-6065	251	18	h	h	NOUN
ejpam-6065	251	19	such	such	ADJ
ejpam-6065	251	20	that	that	DET
ejpam-6065	251	21	γ(h	γ(h	NOUN
ejpam-6065	251	22	)	)	PUNCT
ejpam-6065	251	23	=	=	PUNCT
ejpam-6065	252	1	1	1	X
ejpam-6065	252	2	.	.	PUNCT
ejpam-6065	253	1	in	in	ADP
ejpam-6065	253	2	particular	particular	ADJ
ejpam-6065	253	3	,	,	PUNCT
ejpam-6065	253	4	γcl(g	γcl(g	PROPN
ejpam-6065	253	5	◦	◦	NOUN
ejpam-6065	253	6	h	h	NOUN
ejpam-6065	253	7	)	)	PUNCT
ejpam-6065	253	8	=	=	SYM
ejpam-6065	254	1	1	1	X
ejpam-6065	254	2	.	.	X
ejpam-6065	255	1	proof	proof	NOUN
ejpam-6065	255	2	:	:	PUNCT
ejpam-6065	255	3	since	since	SCONJ
ejpam-6065	255	4	g	g	PROPN
ejpam-6065	255	5	is	be	AUX
ejpam-6065	255	6	trivial	trivial	ADJ
ejpam-6065	255	7	and	and	CCONJ
ejpam-6065	255	8	g	g	ADP
ejpam-6065	255	9	◦	◦	NOUN
ejpam-6065	255	10	h	h	NOUN
ejpam-6065	255	11	=	=	SYM
ejpam-6065	255	12	k1+h	k1+h	PROPN
ejpam-6065	255	13	,	,	PUNCT
ejpam-6065	255	14	by	by	ADP
ejpam-6065	255	15	corollary	corollary	ADJ
ejpam-6065	255	16	3.9	3.9	NUM
ejpam-6065	255	17	,	,	PUNCT
ejpam-6065	255	18	γcl(c	γcl(c	PROPN
ejpam-6065	255	19	◦	◦	NOUN
ejpam-6065	255	20	h	h	NOUN
ejpam-6065	255	21	)	)	PUNCT
ejpam-6065	255	22	=	=	SYM
ejpam-6065	256	1	1	1	X
ejpam-6065	256	2	.	.	PUNCT
ejpam-6065	256	3	suppose	suppose	VERB
ejpam-6065	256	4	that	that	SCONJ
ejpam-6065	256	5	s	s	VERB
ejpam-6065	256	6	is	be	AUX
ejpam-6065	256	7	a	a	DET
ejpam-6065	256	8	γcl	γcl	NOUN
ejpam-6065	256	9	-	-	PUNCT
ejpam-6065	256	10	set	set	NOUN
ejpam-6065	256	11	of	of	ADP
ejpam-6065	256	12	g	g	PROPN
ejpam-6065	256	13	◦	◦	NOUN
ejpam-6065	256	14	h.	h.	PROPN
ejpam-6065	256	15	since	since	SCONJ
ejpam-6065	256	16	g	g	PROPN
ejpam-6065	256	17	is	be	AUX
ejpam-6065	256	18	trivial	trivial	ADJ
ejpam-6065	256	19	,	,	PUNCT
ejpam-6065	256	20	s	s	NOUN
ejpam-6065	256	21	=	=	SYM
ejpam-6065	256	22	v	v	X
ejpam-6065	256	23	(	(	PUNCT
ejpam-6065	256	24	g	g	NOUN
ejpam-6065	256	25	)	)	PUNCT
ejpam-6065	256	26	since	since	SCONJ
ejpam-6065	256	27	v	v	NOUN
ejpam-6065	256	28	(	(	PUNCT
ejpam-6065	256	29	g	g	NOUN
ejpam-6065	256	30	)	)	PUNCT
ejpam-6065	256	31	is	be	AUX
ejpam-6065	256	32	a	a	DET
ejpam-6065	256	33	dominating	dominating	NOUN
ejpam-6065	256	34	set	set	NOUN
ejpam-6065	256	35	of	of	ADP
ejpam-6065	256	36	g	g	PROPN
ejpam-6065	256	37	◦	◦	NOUN
ejpam-6065	256	38	h	h	NOUN
ejpam-6065	256	39	and	and	CCONJ
ejpam-6065	256	40	v	v	NOUN
ejpam-6065	256	41	(	(	PUNCT
ejpam-6065	256	42	g	g	NOUN
ejpam-6065	256	43	)	)	PUNCT
ejpam-6065	256	44	is	be	AUX
ejpam-6065	256	45	complete	complete	ADJ
ejpam-6065	256	46	.	.	PUNCT
ejpam-6065	256	47	suppose	suppose	VERB
ejpam-6065	256	48	that	that	SCONJ
ejpam-6065	256	49	γ(h	γ(h	NOUN
ejpam-6065	256	50	)	)	PUNCT
ejpam-6065	256	51	=	=	SYM
ejpam-6065	257	1	1	1	X
ejpam-6065	257	2	.	.	PUNCT
ejpam-6065	257	3	by	by	ADP
ejpam-6065	257	4	theorem	theorem	ADJ
ejpam-6065	257	5	2.3	2.3	NUM
ejpam-6065	257	6	,	,	PUNCT
ejpam-6065	257	7	γcl(h	γcl(h	PROPN
ejpam-6065	257	8	)	)	PUNCT
ejpam-6065	257	9	=	=	SYM
ejpam-6065	258	1	1	1	X
ejpam-6065	258	2	.	.	PUNCT
ejpam-6065	258	3	then	then	ADV
ejpam-6065	258	4	there	there	PRON
ejpam-6065	258	5	exists	exist	VERB
ejpam-6065	258	6	a	a	DET
ejpam-6065	258	7	vertex	vertex	NOUN
ejpam-6065	258	8	v	v	NOUN
ejpam-6065	258	9	in	in	ADP
ejpam-6065	258	10	h	h	NOUN
ejpam-6065	258	11	such	such	ADJ
ejpam-6065	258	12	that	that	DET
ejpam-6065	258	13	v	v	NOUN
ejpam-6065	258	14	is	be	AUX
ejpam-6065	258	15	adjacent	adjacent	ADJ
ejpam-6065	258	16	to	to	ADP
ejpam-6065	258	17	every	every	DET
ejpam-6065	258	18	vertex	vertex	NOUN
ejpam-6065	258	19	in	in	ADP
ejpam-6065	258	20	h	h	NOUN
ejpam-6065	258	21	\	\	PUNCT
ejpam-6065	258	22	{	{	PUNCT
ejpam-6065	258	23	v	v	NOUN
ejpam-6065	258	24	}	}	PUNCT
ejpam-6065	258	25	and	and	CCONJ
ejpam-6065	258	26	to	to	ADP
ejpam-6065	258	27	a	a	DET
ejpam-6065	258	28	vertex	vertex	NOUN
ejpam-6065	258	29	in	in	ADP
ejpam-6065	258	30	g.	g.	PROPN
ejpam-6065	258	31	take	take	VERB
ejpam-6065	258	32	s	s	PART
ejpam-6065	258	33	=	=	PUNCT
ejpam-6065	258	34	{	{	PUNCT
ejpam-6065	258	35	v	v	NOUN
ejpam-6065	258	36	}	}	PUNCT
ejpam-6065	258	37	and	and	CCONJ
ejpam-6065	258	38	so	so	ADV
ejpam-6065	258	39	,	,	PUNCT
ejpam-6065	258	40	s	s	VERB
ejpam-6065	258	41	is	be	AUX
ejpam-6065	258	42	a	a	DET
ejpam-6065	258	43	γ	γ	NOUN
ejpam-6065	258	44	-	-	PUNCT
ejpam-6065	258	45	set	set	NOUN
ejpam-6065	258	46	of	of	ADP
ejpam-6065	258	47	h.	h.	PROPN
ejpam-6065	258	48	the	the	DET
ejpam-6065	258	49	converse	converse	NOUN
ejpam-6065	258	50	is	be	AUX
ejpam-6065	258	51	clear	clear	ADJ
ejpam-6065	258	52	.	.	PUNCT
ejpam-6065	259	1	c.	c.	PROPN
ejpam-6065	259	2	l.	l.	PROPN
ejpam-6065	259	3	armada	armada	PROPN
ejpam-6065	259	4	et	et	PROPN
ejpam-6065	259	5	al	al	PROPN
ejpam-6065	259	6	.	.	PUNCT
ejpam-6065	259	7	/	/	SYM
ejpam-6065	259	8	eur	eur	PROPN
ejpam-6065	259	9	.	.	PUNCT
ejpam-6065	260	1	j.	j.	PROPN
ejpam-6065	260	2	pure	pure	PROPN
ejpam-6065	260	3	appl	appl	PROPN
ejpam-6065	260	4	.	.	PROPN
ejpam-6065	260	5	math	math	PROPN
ejpam-6065	260	6	,	,	PUNCT
ejpam-6065	260	7	18	18	NUM
ejpam-6065	260	8	(	(	PUNCT
ejpam-6065	260	9	2	2	NUM
ejpam-6065	260	10	)	)	PUNCT
ejpam-6065	260	11	(	(	PUNCT
ejpam-6065	260	12	2025	2025	NUM
ejpam-6065	260	13	)	)	PUNCT
ejpam-6065	260	14	,	,	PUNCT
ejpam-6065	260	15	6065	6065	NUM
ejpam-6065	260	16	11	11	NUM
ejpam-6065	260	17	of	of	ADP
ejpam-6065	260	18	14	14	NUM
ejpam-6065	260	19	theorem	theorem	VERB
ejpam-6065	260	20	3.14	3.14	NUM
ejpam-6065	260	21	.	.	PUNCT
ejpam-6065	261	1	let	let	VERB
ejpam-6065	261	2	g	g	PRON
ejpam-6065	261	3	be	be	AUX
ejpam-6065	261	4	a	a	DET
ejpam-6065	261	5	complete	complete	ADJ
ejpam-6065	261	6	graph	graph	NOUN
ejpam-6065	261	7	and	and	CCONJ
ejpam-6065	261	8	h	h	NOUN
ejpam-6065	261	9	be	be	AUX
ejpam-6065	261	10	any	any	DET
ejpam-6065	261	11	graph	graph	NOUN
ejpam-6065	261	12	.	.	PUNCT
ejpam-6065	262	1	then	then	ADV
ejpam-6065	262	2	fγcl(g	fγcl(g	ADJ
ejpam-6065	262	3	◦	◦	NOUN
ejpam-6065	262	4	h	h	NOUN
ejpam-6065	262	5	)	)	PUNCT
ejpam-6065	262	6	=	=	PRON
ejpam-6065	262	7	{	{	PUNCT
ejpam-6065	262	8	0	0	NUM
ejpam-6065	262	9	,	,	PUNCT
ejpam-6065	262	10	if	if	SCONJ
ejpam-6065	262	11	either	either	DET
ejpam-6065	262	12	g	g	PROPN
ejpam-6065	262	13	is	be	AUX
ejpam-6065	262	14	nontrivial	nontrivial	ADJ
ejpam-6065	262	15	or	or	CCONJ
ejpam-6065	262	16	g	g	NOUN
ejpam-6065	262	17	is	be	AUX
ejpam-6065	262	18	trivial	trivial	ADJ
ejpam-6065	262	19	and	and	CCONJ
ejpam-6065	262	20	γ(h	γ(h	NOUN
ejpam-6065	262	21	)	)	PUNCT
ejpam-6065	262	22	>	>	X
ejpam-6065	263	1	1	1	NUM
ejpam-6065	263	2	,	,	PUNCT
ejpam-6065	263	3	1	1	NUM
ejpam-6065	263	4	,	,	PUNCT
ejpam-6065	263	5	if	if	SCONJ
ejpam-6065	263	6	g	g	PROPN
ejpam-6065	263	7	is	be	AUX
ejpam-6065	263	8	trivial	trivial	ADJ
ejpam-6065	263	9	and	and	CCONJ
ejpam-6065	263	10	γ(h	γ(h	NOUN
ejpam-6065	263	11	)	)	PUNCT
ejpam-6065	263	12	=	=	SYM
ejpam-6065	264	1	1	1	X
ejpam-6065	264	2	.	.	X
ejpam-6065	264	3	proof	proof	NOUN
ejpam-6065	264	4	:	:	PUNCT
ejpam-6065	264	5	note	note	VERB
ejpam-6065	264	6	that	that	SCONJ
ejpam-6065	264	7	by	by	ADP
ejpam-6065	264	8	corollary	corollary	ADJ
ejpam-6065	264	9	2.8	2.8	NUM
ejpam-6065	264	10	,	,	PUNCT
ejpam-6065	264	11	γcl(g	γcl(g	PRON
ejpam-6065	264	12	◦	◦	NOUN
ejpam-6065	264	13	h	h	NOUN
ejpam-6065	264	14	)	)	PUNCT
ejpam-6065	264	15	=	=	SYM
ejpam-6065	264	16	|v	|v	PROPN
ejpam-6065	264	17	(	(	PUNCT
ejpam-6065	264	18	g)|	g)|	NOUN
ejpam-6065	264	19	.	.	PUNCT
ejpam-6065	265	1	since	since	SCONJ
ejpam-6065	265	2	g	g	PROPN
ejpam-6065	265	3	is	be	AUX
ejpam-6065	265	4	complete	complete	ADJ
ejpam-6065	265	5	,	,	PUNCT
ejpam-6065	265	6	v	v	ADJ
ejpam-6065	265	7	(	(	PUNCT
ejpam-6065	265	8	g	g	NOUN
ejpam-6065	265	9	)	)	PUNCT
ejpam-6065	265	10	is	be	AUX
ejpam-6065	265	11	a	a	DET
ejpam-6065	265	12	γcl	γcl	NOUN
ejpam-6065	265	13	-	-	PUNCT
ejpam-6065	265	14	set	set	NOUN
ejpam-6065	265	15	of	of	ADP
ejpam-6065	265	16	g	g	PROPN
ejpam-6065	265	17	◦	◦	NOUN
ejpam-6065	265	18	h.	h.	NOUN
ejpam-6065	265	19	let	let	VERB
ejpam-6065	265	20	s	s	PRON
ejpam-6065	265	21	be	be	AUX
ejpam-6065	265	22	a	a	DET
ejpam-6065	265	23	γcl	γcl	NOUN
ejpam-6065	265	24	-	-	PUNCT
ejpam-6065	265	25	set	set	NOUN
ejpam-6065	265	26	of	of	ADP
ejpam-6065	265	27	g	g	PROPN
ejpam-6065	265	28	◦	◦	NOUN
ejpam-6065	265	29	h.	h.	NOUN
ejpam-6065	265	30	consider	consider	VERB
ejpam-6065	265	31	the	the	DET
ejpam-6065	265	32	following	follow	VERB
ejpam-6065	265	33	cases	case	NOUN
ejpam-6065	265	34	:	:	PUNCT
ejpam-6065	265	35	case	case	NOUN
ejpam-6065	265	36	1	1	NUM
ejpam-6065	265	37	.	.	PUNCT
ejpam-6065	265	38	suppose	suppose	VERB
ejpam-6065	265	39	that	that	SCONJ
ejpam-6065	265	40	g	g	PROPN
ejpam-6065	265	41	is	be	AUX
ejpam-6065	265	42	nontrivial	nontrivial	ADJ
ejpam-6065	265	43	.	.	PUNCT
ejpam-6065	266	1	by	by	ADP
ejpam-6065	266	2	theorem	theorem	NOUN
ejpam-6065	266	3	2.7	2.7	NUM
ejpam-6065	266	4	,	,	PUNCT
ejpam-6065	266	5	s	s	PART
ejpam-6065	266	6	=	=	SYM
ejpam-6065	266	7	v	v	X
ejpam-6065	266	8	(	(	PUNCT
ejpam-6065	266	9	g	g	NOUN
ejpam-6065	266	10	)	)	PUNCT
ejpam-6065	266	11	is	be	AUX
ejpam-6065	266	12	the	the	DET
ejpam-6065	266	13	only	only	ADJ
ejpam-6065	266	14	γcl	γcl	NOUN
ejpam-6065	266	15	-	-	PUNCT
ejpam-6065	266	16	set	set	NOUN
ejpam-6065	266	17	of	of	ADP
ejpam-6065	266	18	g	g	PROPN
ejpam-6065	266	19	◦	◦	NOUN
ejpam-6065	266	20	h.	h.	NOUN
ejpam-6065	266	21	by	by	ADP
ejpam-6065	266	22	theorem	theorem	ADJ
ejpam-6065	266	23	3.1	3.1	NUM
ejpam-6065	266	24	(	(	PUNCT
ejpam-6065	266	25	i	i	NOUN
ejpam-6065	266	26	)	)	PUNCT
ejpam-6065	266	27	,	,	PUNCT
ejpam-6065	266	28	fγcl(g	fγcl(g	NOUN
ejpam-6065	266	29	◦	◦	NOUN
ejpam-6065	266	30	h	h	NOUN
ejpam-6065	266	31	)	)	PUNCT
ejpam-6065	266	32	=	=	SYM
ejpam-6065	267	1	0	0	X
ejpam-6065	267	2	.	.	PUNCT
ejpam-6065	267	3	case	case	NOUN
ejpam-6065	267	4	2	2	X
ejpam-6065	267	5	.	.	PUNCT
ejpam-6065	267	6	suppose	suppose	VERB
ejpam-6065	267	7	that	that	SCONJ
ejpam-6065	267	8	g	g	PROPN
ejpam-6065	267	9	is	be	AUX
ejpam-6065	267	10	trivial	trivial	ADJ
ejpam-6065	267	11	and	and	CCONJ
ejpam-6065	267	12	γ(h	γ(h	NOUN
ejpam-6065	267	13	)	)	PUNCT
ejpam-6065	267	14	>	>	X
ejpam-6065	268	1	1	1	X
ejpam-6065	268	2	.	.	PUNCT
ejpam-6065	268	3	by	by	ADP
ejpam-6065	268	4	theorem	theorem	NOUN
ejpam-6065	268	5	3.13	3.13	NUM
ejpam-6065	268	6	,	,	PUNCT
ejpam-6065	268	7	s	s	PART
ejpam-6065	268	8	=	=	SYM
ejpam-6065	268	9	v	v	X
ejpam-6065	268	10	(	(	PUNCT
ejpam-6065	268	11	g	g	NOUN
ejpam-6065	268	12	)	)	PUNCT
ejpam-6065	268	13	is	be	AUX
ejpam-6065	268	14	the	the	DET
ejpam-6065	268	15	only	only	ADJ
ejpam-6065	268	16	γcl	γcl	NOUN
ejpam-6065	268	17	-	-	PUNCT
ejpam-6065	268	18	set	set	NOUN
ejpam-6065	268	19	of	of	ADP
ejpam-6065	268	20	g	g	PROPN
ejpam-6065	268	21	◦	◦	NOUN
ejpam-6065	268	22	h.	h.	NOUN
ejpam-6065	268	23	by	by	ADP
ejpam-6065	268	24	theorem	theorem	ADJ
ejpam-6065	268	25	3.1	3.1	NUM
ejpam-6065	268	26	(	(	PUNCT
ejpam-6065	268	27	i	i	NOUN
ejpam-6065	268	28	)	)	PUNCT
ejpam-6065	268	29	,	,	PUNCT
ejpam-6065	268	30	fγcl(g	fγcl(g	NOUN
ejpam-6065	268	31	◦	◦	NOUN
ejpam-6065	268	32	h	h	NOUN
ejpam-6065	268	33	)	)	PUNCT
ejpam-6065	268	34	=	=	SYM
ejpam-6065	269	1	0	0	X
ejpam-6065	269	2	.	.	PUNCT
ejpam-6065	269	3	case	case	NOUN
ejpam-6065	269	4	3	3	X
ejpam-6065	269	5	.	.	PUNCT
ejpam-6065	269	6	suppose	suppose	VERB
ejpam-6065	269	7	that	that	SCONJ
ejpam-6065	269	8	g	g	PROPN
ejpam-6065	269	9	is	be	AUX
ejpam-6065	269	10	trivial	trivial	ADJ
ejpam-6065	269	11	and	and	CCONJ
ejpam-6065	269	12	γ(h	γ(h	NOUN
ejpam-6065	269	13	)	)	PUNCT
ejpam-6065	269	14	=	=	SYM
ejpam-6065	270	1	1	1	X
ejpam-6065	270	2	.	.	PUNCT
ejpam-6065	270	3	by	by	ADP
ejpam-6065	270	4	theorem	theorem	NOUN
ejpam-6065	270	5	3.13	3.13	NUM
ejpam-6065	270	6	,	,	PUNCT
ejpam-6065	270	7	γcl(g	γcl(g	PRON
ejpam-6065	270	8	◦	◦	NOUN
ejpam-6065	270	9	h	h	NOUN
ejpam-6065	270	10	)	)	PUNCT
ejpam-6065	270	11	=	=	SYM
ejpam-6065	270	12	1	1	NUM
ejpam-6065	270	13	and	and	CCONJ
ejpam-6065	270	14	either	either	DET
ejpam-6065	270	15	s	s	PART
ejpam-6065	270	16	=	=	SYM
ejpam-6065	270	17	v	v	X
ejpam-6065	270	18	(	(	PUNCT
ejpam-6065	270	19	g	g	NOUN
ejpam-6065	270	20	)	)	PUNCT
ejpam-6065	270	21	or	or	CCONJ
ejpam-6065	270	22	s	s	VERB
ejpam-6065	270	23	is	be	AUX
ejpam-6065	270	24	the	the	DET
ejpam-6065	270	25	γ	γ	NOUN
ejpam-6065	270	26	-	-	PUNCT
ejpam-6065	270	27	set	set	NOUN
ejpam-6065	270	28	of	of	ADP
ejpam-6065	270	29	h	h	NOUN
ejpam-6065	270	30	such	such	ADJ
ejpam-6065	270	31	that	that	SCONJ
ejpam-6065	270	32	s	s	VERB
ejpam-6065	270	33	is	be	AUX
ejpam-6065	270	34	also	also	ADV
ejpam-6065	270	35	γcl	γcl	NOUN
ejpam-6065	270	36	-	-	PUNCT
ejpam-6065	270	37	set	set	NOUN
ejpam-6065	270	38	of	of	ADP
ejpam-6065	270	39	g	g	PROPN
ejpam-6065	270	40	◦	◦	NOUN
ejpam-6065	270	41	h	h	PROPN
ejpam-6065	270	42	and	and	CCONJ
ejpam-6065	270	43	|s|	|s|	PROPN
ejpam-6065	270	44	=	=	SYM
ejpam-6065	270	45	1	1	NUM
ejpam-6065	270	46	.	.	PUNCT
ejpam-6065	271	1	thus	thus	ADV
ejpam-6065	271	2	,	,	PUNCT
ejpam-6065	271	3	g	g	PROPN
ejpam-6065	271	4	◦	◦	NOUN
ejpam-6065	271	5	h	h	NOUN
ejpam-6065	271	6	has	have	VERB
ejpam-6065	271	7	no	no	DET
ejpam-6065	271	8	unique	unique	ADJ
ejpam-6065	271	9	γcl	γcl	NOUN
ejpam-6065	271	10	-	-	PUNCT
ejpam-6065	271	11	sets	set	NOUN
ejpam-6065	271	12	.	.	PUNCT
ejpam-6065	272	1	then	then	ADV
ejpam-6065	272	2	there	there	PRON
ejpam-6065	272	3	exists	exist	VERB
ejpam-6065	272	4	a	a	DET
ejpam-6065	272	5	vertex	vertex	NOUN
ejpam-6065	272	6	u	u	NOUN
ejpam-6065	272	7	contained	contain	VERB
ejpam-6065	272	8	in	in	ADP
ejpam-6065	272	9	s	s	PRON
ejpam-6065	272	10	only	only	ADV
ejpam-6065	272	11	.	.	PUNCT
ejpam-6065	273	1	by	by	ADP
ejpam-6065	273	2	theorem	theorem	ADJ
ejpam-6065	273	3	3.1	3.1	NUM
ejpam-6065	273	4	(	(	PUNCT
ejpam-6065	273	5	ii	ii	NOUN
ejpam-6065	273	6	)	)	PUNCT
ejpam-6065	273	7	,	,	PUNCT
ejpam-6065	273	8	fγcl(g	fγcl(g	ADJ
ejpam-6065	273	9	◦	◦	NOUN
ejpam-6065	273	10	h	h	NOUN
ejpam-6065	273	11	)	)	PUNCT
ejpam-6065	273	12	=	=	PUNCT
ejpam-6065	273	13	|s|	|s|	NOUN
ejpam-6065	273	14	=	=	SYM
ejpam-6065	273	15	1	1	PROPN
ejpam-6065	273	16	.	.	PUNCT
ejpam-6065	273	17	theorem	theorem	VERB
ejpam-6065	273	18	3.15	3.15	NUM
ejpam-6065	273	19	.	.	PUNCT
ejpam-6065	274	1	let	let	VERB
ejpam-6065	274	2	g	g	NOUN
ejpam-6065	274	3	and	and	CCONJ
ejpam-6065	274	4	h	h	NOUN
ejpam-6065	274	5	be	be	AUX
ejpam-6065	274	6	connected	connect	VERB
ejpam-6065	274	7	nontrivial	nontrivial	ADJ
ejpam-6065	274	8	graphs	graph	NOUN
ejpam-6065	274	9	such	such	ADJ
ejpam-6065	274	10	that	that	SCONJ
ejpam-6065	274	11	g	g	PROPN
ejpam-6065	274	12	has	have	VERB
ejpam-6065	274	13	a	a	DET
ejpam-6065	274	14	clique	clique	ADJ
ejpam-6065	274	15	dominating	dominating	NOUN
ejpam-6065	274	16	set	set	NOUN
ejpam-6065	274	17	.	.	PUNCT
ejpam-6065	275	1	then	then	ADV
ejpam-6065	275	2	fγcl(g[h	fγcl(g[h	PROPN
ejpam-6065	275	3	]	]	X
ejpam-6065	275	4	)	)	PUNCT
ejpam-6065	275	5	=	=	PUNCT
ejpam-6065	276	1			NOUN
ejpam-6065	276	2	0	0	NUM
ejpam-6065	276	3	,	,	PUNCT
ejpam-6065	276	4	if	if	SCONJ
ejpam-6065	276	5	γ(g	γ(g	PROPN
ejpam-6065	276	6	)	)	PUNCT
ejpam-6065	276	7	=	=	SYM
ejpam-6065	276	8	γ(h	γ(h	NOUN
ejpam-6065	276	9	)	)	PUNCT
ejpam-6065	276	10	=	=	SYM
ejpam-6065	276	11	1	1	NUM
ejpam-6065	276	12	and	and	CCONJ
ejpam-6065	276	13	bothgandh	bothgandh	NOUN
ejpam-6065	276	14	have	have	AUX
ejpam-6065	276	15	unique	unique	ADJ
ejpam-6065	276	16	γ	γ	NOUN
ejpam-6065	276	17	−	−	NOUN
ejpam-6065	276	18	sets	set	NOUN
ejpam-6065	276	19	,	,	PUNCT
ejpam-6065	276	20	1	1	NUM
ejpam-6065	276	21	,	,	PUNCT
ejpam-6065	276	22	if	if	SCONJ
ejpam-6065	276	23	γ(g	γ(g	PROPN
ejpam-6065	276	24	)	)	PUNCT
ejpam-6065	277	1	=	=	SYM
ejpam-6065	277	2	γ(h	γ(h	NOUN
ejpam-6065	277	3	)	)	PUNCT
ejpam-6065	277	4	=	=	SYM
ejpam-6065	278	1	1	1	NUM
ejpam-6065	278	2	and	and	CCONJ
ejpam-6065	278	3	either	either	CCONJ
ejpam-6065	278	4	g	g	PROPN
ejpam-6065	278	5	orh	orh	VERB
ejpam-6065	278	6	hasno	hasno	ADV
ejpam-6065	278	7	unique	unique	ADJ
ejpam-6065	278	8	γ	γ	NOUN
ejpam-6065	278	9	−	−	NOUN
ejpam-6065	278	10	sets	set	NOUN
ejpam-6065	278	11	or	or	CCONJ
ejpam-6065	278	12	both	both	PRON
ejpam-6065	278	13	,	,	PUNCT
ejpam-6065	278	14	2	2	NUM
ejpam-6065	278	15	,	,	PUNCT
ejpam-6065	278	16	if	if	SCONJ
ejpam-6065	278	17	γ(g	γ(g	PROPN
ejpam-6065	278	18	)	)	PUNCT
ejpam-6065	278	19	=	=	SYM
ejpam-6065	278	20	1	1	NUM
ejpam-6065	278	21	and	and	CCONJ
ejpam-6065	278	22	γ(h	γ(h	NOUN
ejpam-6065	278	23	)	)	PUNCT
ejpam-6065	278	24	̸=	̸=	PROPN
ejpam-6065	278	25	1	1	NUM
ejpam-6065	278	26	.	.	PUNCT
ejpam-6065	279	1	γcl(g	γcl(g	X
ejpam-6065	279	2	)	)	PUNCT
ejpam-6065	279	3	,	,	PUNCT
ejpam-6065	279	4	if	if	SCONJ
ejpam-6065	279	5	γ(g	γ(g	PROPN
ejpam-6065	279	6	)	)	PUNCT
ejpam-6065	279	7	>	>	X
ejpam-6065	280	1	1	1	NUM
ejpam-6065	280	2	,	,	PUNCT
ejpam-6065	280	3	proof	proof	NOUN
ejpam-6065	280	4	:	:	PUNCT
ejpam-6065	280	5	consider	consider	VERB
ejpam-6065	280	6	the	the	DET
ejpam-6065	280	7	following	follow	VERB
ejpam-6065	280	8	cases	case	NOUN
ejpam-6065	280	9	:	:	PUNCT
ejpam-6065	280	10	case	case	NOUN
ejpam-6065	280	11	1	1	NUM
ejpam-6065	280	12	.	.	PUNCT
ejpam-6065	280	13	suppose	suppose	VERB
ejpam-6065	280	14	that	that	SCONJ
ejpam-6065	280	15	γ(g	γ(g	PROPN
ejpam-6065	280	16	)	)	PUNCT
ejpam-6065	280	17	=	=	SYM
ejpam-6065	280	18	γ(h	γ(h	NOUN
ejpam-6065	280	19	)	)	PUNCT
ejpam-6065	280	20	=	=	SYM
ejpam-6065	280	21	1	1	NUM
ejpam-6065	280	22	and	and	CCONJ
ejpam-6065	280	23	both	both	DET
ejpam-6065	280	24	g	g	PROPN
ejpam-6065	280	25	and	and	CCONJ
ejpam-6065	280	26	h	h	NOUN
ejpam-6065	280	27	have	have	AUX
ejpam-6065	280	28	unique	unique	ADJ
ejpam-6065	280	29	γ	γ	NOUN
ejpam-6065	280	30	-	-	PUNCT
ejpam-6065	280	31	sets	set	NOUN
ejpam-6065	280	32	,	,	PUNCT
ejpam-6065	280	33	say	say	VERB
ejpam-6065	280	34	s	s	X
ejpam-6065	280	35	=	=	PUNCT
ejpam-6065	280	36	{	{	PUNCT
ejpam-6065	280	37	x	x	NOUN
ejpam-6065	280	38	}	}	PUNCT
ejpam-6065	280	39	and	and	CCONJ
ejpam-6065	280	40	t	t	NOUN
ejpam-6065	280	41	=	=	PUNCT
ejpam-6065	280	42	{	{	PUNCT
ejpam-6065	280	43	a	a	NOUN
ejpam-6065	280	44	}	}	PUNCT
ejpam-6065	280	45	,	,	PUNCT
ejpam-6065	280	46	respectively	respectively	ADV
ejpam-6065	280	47	.	.	PUNCT
ejpam-6065	281	1	by	by	ADP
ejpam-6065	281	2	corollary	corollary	ADJ
ejpam-6065	281	3	2.10	2.10	NUM
ejpam-6065	281	4	,	,	PUNCT
ejpam-6065	281	5	γcl(g[h	γcl(g[h	NUM
ejpam-6065	281	6	]	]	PUNCT
ejpam-6065	281	7	)	)	PUNCT
ejpam-6065	281	8	=	=	SYM
ejpam-6065	281	9	1	1	NUM
ejpam-6065	281	10	and	and	CCONJ
ejpam-6065	281	11	by	by	ADP
ejpam-6065	281	12	theorem	theorem	ADJ
ejpam-6065	281	13	2.3	2.3	NUM
ejpam-6065	281	14	,	,	PUNCT
ejpam-6065	281	15	s	s	NOUN
ejpam-6065	281	16	and	and	CCONJ
ejpam-6065	281	17	t	t	PROPN
ejpam-6065	281	18	are	be	AUX
ejpam-6065	281	19	also	also	ADV
ejpam-6065	281	20	γcl	γcl	ADJ
ejpam-6065	281	21	-	-	PUNCT
ejpam-6065	281	22	sets	set	NOUN
ejpam-6065	281	23	of	of	ADP
ejpam-6065	281	24	g	g	PROPN
ejpam-6065	281	25	and	and	CCONJ
ejpam-6065	281	26	h	h	NOUN
ejpam-6065	281	27	,	,	PUNCT
ejpam-6065	281	28	respectively	respectively	ADV
ejpam-6065	281	29	.	.	PUNCT
ejpam-6065	282	1	by	by	ADP
ejpam-6065	282	2	theorem	theorem	NOUN
ejpam-6065	282	3	2.9	2.9	NUM
ejpam-6065	282	4	,	,	PUNCT
ejpam-6065	282	5	c	c	PROPN
ejpam-6065	282	6	=	=	SYM
ejpam-6065	282	7	s×tx	s×tx	PROPN
ejpam-6065	282	8	=	=	X
ejpam-6065	282	9	{	{	PUNCT
ejpam-6065	282	10	(	(	PUNCT
ejpam-6065	282	11	x	x	NOUN
ejpam-6065	282	12	,	,	PUNCT
ejpam-6065	282	13	a	a	PRON
ejpam-6065	282	14	)	)	PUNCT
ejpam-6065	282	15	}	}	PUNCT
ejpam-6065	282	16	is	be	AUX
ejpam-6065	282	17	the	the	DET
ejpam-6065	282	18	only	only	ADJ
ejpam-6065	282	19	γcl	γcl	NOUN
ejpam-6065	282	20	-	-	PUNCT
ejpam-6065	282	21	set	set	NOUN
ejpam-6065	282	22	of	of	ADP
ejpam-6065	282	23	g[h	g[h	NOUN
ejpam-6065	282	24	]	]	PUNCT
ejpam-6065	282	25	.	.	PUNCT
ejpam-6065	283	1	by	by	ADP
ejpam-6065	283	2	theorem	theorem	ADJ
ejpam-6065	283	3	3.1	3.1	NUM
ejpam-6065	283	4	(	(	PUNCT
ejpam-6065	283	5	i	i	NOUN
ejpam-6065	283	6	)	)	PUNCT
ejpam-6065	283	7	,	,	PUNCT
ejpam-6065	283	8	fγcl(g[h	fγcl(g[h	NOUN
ejpam-6065	283	9	]	]	X
ejpam-6065	283	10	)	)	PUNCT
ejpam-6065	283	11	=	=	SYM
ejpam-6065	283	12	0	0	X
ejpam-6065	283	13	.	.	PUNCT
ejpam-6065	283	14	case	case	NOUN
ejpam-6065	283	15	2	2	X
ejpam-6065	283	16	.	.	PUNCT
ejpam-6065	283	17	suppose	suppose	VERB
ejpam-6065	283	18	that	that	SCONJ
ejpam-6065	283	19	γ(g	γ(g	PROPN
ejpam-6065	283	20	)	)	PUNCT
ejpam-6065	283	21	=	=	SYM
ejpam-6065	283	22	γ(h	γ(h	NOUN
ejpam-6065	283	23	)	)	PUNCT
ejpam-6065	283	24	=	=	SYM
ejpam-6065	283	25	1	1	NUM
ejpam-6065	283	26	and	and	CCONJ
ejpam-6065	283	27	either	either	CCONJ
ejpam-6065	283	28	g	g	PROPN
ejpam-6065	283	29	or	or	CCONJ
ejpam-6065	283	30	h	h	NOUN
ejpam-6065	283	31	has	have	VERB
ejpam-6065	283	32	no	no	DET
ejpam-6065	283	33	unique	unique	ADJ
ejpam-6065	283	34	γ	γ	NOUN
ejpam-6065	283	35	-	-	PUNCT
ejpam-6065	283	36	sets	set	NOUN
ejpam-6065	283	37	or	or	CCONJ
ejpam-6065	283	38	both	both	PRON
ejpam-6065	283	39	.	.	PUNCT
ejpam-6065	284	1	by	by	ADP
ejpam-6065	284	2	corollary	corollary	ADJ
ejpam-6065	284	3	2.10	2.10	NUM
ejpam-6065	284	4	,	,	PUNCT
ejpam-6065	284	5	γcl(g[h	γcl(g[h	NUM
ejpam-6065	284	6	]	]	PUNCT
ejpam-6065	284	7	)	)	PUNCT
ejpam-6065	284	8	=	=	SYM
ejpam-6065	284	9	1	1	X
ejpam-6065	284	10	.	.	X
ejpam-6065	284	11	wlog	wlog	NOUN
ejpam-6065	284	12	,	,	PUNCT
ejpam-6065	284	13	suppose	suppose	VERB
ejpam-6065	284	14	that	that	SCONJ
ejpam-6065	284	15	g	g	PROPN
ejpam-6065	284	16	has	have	VERB
ejpam-6065	284	17	no	no	DET
ejpam-6065	284	18	unique	unique	ADJ
ejpam-6065	284	19	γ	γ	NOUN
ejpam-6065	284	20	-	-	PUNCT
ejpam-6065	284	21	sets	set	NOUN
ejpam-6065	284	22	,	,	PUNCT
ejpam-6065	284	23	say	say	VERB
ejpam-6065	284	24	s1	s1	NOUN
ejpam-6065	284	25	=	=	PUNCT
ejpam-6065	284	26	{	{	PUNCT
ejpam-6065	284	27	x	x	NOUN
ejpam-6065	284	28	}	}	PUNCT
ejpam-6065	284	29	and	and	CCONJ
ejpam-6065	284	30	s2	s2	VERB
ejpam-6065	284	31	=	=	SYM
ejpam-6065	284	32	{	{	PUNCT
ejpam-6065	284	33	y	y	NOUN
ejpam-6065	284	34	}	}	PUNCT
ejpam-6065	284	35	,	,	PUNCT
ejpam-6065	284	36	and	and	CCONJ
ejpam-6065	284	37	also	also	ADV
ejpam-6065	284	38	suppose	suppose	VERB
ejpam-6065	284	39	that	that	SCONJ
ejpam-6065	284	40	h	h	PROPN
ejpam-6065	284	41	has	have	VERB
ejpam-6065	284	42	a	a	DET
ejpam-6065	284	43	γ	γ	NOUN
ejpam-6065	284	44	-	-	PUNCT
ejpam-6065	284	45	set	set	ADJ
ejpam-6065	284	46	,	,	PUNCT
ejpam-6065	284	47	say	say	VERB
ejpam-6065	284	48	t	t	NOUN
ejpam-6065	284	49	=	=	PUNCT
ejpam-6065	284	50	{	{	PUNCT
ejpam-6065	284	51	a	a	NOUN
ejpam-6065	284	52	}	}	PUNCT
ejpam-6065	284	53	.	.	PUNCT
ejpam-6065	285	1	by	by	ADP
ejpam-6065	285	2	theorem	theorem	ADJ
ejpam-6065	285	3	2.3	2.3	NUM
ejpam-6065	285	4	,	,	PUNCT
ejpam-6065	285	5	s1	s1	NOUN
ejpam-6065	285	6	and	and	CCONJ
ejpam-6065	285	7	s2	s2	NOUN
ejpam-6065	285	8	are	be	AUX
ejpam-6065	285	9	also	also	ADV
ejpam-6065	285	10	γcl	γcl	ADJ
ejpam-6065	285	11	-	-	PUNCT
ejpam-6065	285	12	sets	set	NOUN
ejpam-6065	285	13	of	of	ADP
ejpam-6065	285	14	g	g	PROPN
ejpam-6065	285	15	and	and	CCONJ
ejpam-6065	285	16	t	t	PROPN
ejpam-6065	285	17	is	be	AUX
ejpam-6065	285	18	a	a	DET
ejpam-6065	285	19	γcl	γcl	NOUN
ejpam-6065	285	20	-	-	PUNCT
ejpam-6065	285	21	sets	set	NOUN
ejpam-6065	285	22	of	of	ADP
ejpam-6065	285	23	h.	h.	NOUN
ejpam-6065	285	24	by	by	ADP
ejpam-6065	285	25	corollary	corollary	ADJ
ejpam-6065	285	26	2.10	2.10	NUM
ejpam-6065	285	27	,	,	PUNCT
ejpam-6065	285	28	γcl(g[h	γcl(g[h	NUM
ejpam-6065	285	29	]	]	PUNCT
ejpam-6065	285	30	)	)	PUNCT
ejpam-6065	285	31	=	=	SYM
ejpam-6065	286	1	1	1	X
ejpam-6065	286	2	.	.	PUNCT
ejpam-6065	286	3	by	by	ADP
ejpam-6065	286	4	theorem	theorem	NOUN
ejpam-6065	286	5	2.9	2.9	NUM
ejpam-6065	286	6	,	,	PUNCT
ejpam-6065	286	7	c1	c1	NOUN
ejpam-6065	286	8	=	=	PUNCT
ejpam-6065	286	9	⋃	⋃	PROPN
ejpam-6065	286	10	x∈s1	x∈s1	PROPN
ejpam-6065	287	1	[	[	X
ejpam-6065	287	2	{	{	PUNCT
ejpam-6065	287	3	x	x	NOUN
ejpam-6065	287	4	}	}	PUNCT
ejpam-6065	287	5	×	×	PROPN
ejpam-6065	287	6	tx	tx	PROPN
ejpam-6065	287	7	]	]	PUNCT
ejpam-6065	287	8	and	and	CCONJ
ejpam-6065	287	9	c2	c2	PROPN
ejpam-6065	287	10	=	=	PUNCT
ejpam-6065	287	11	⋃	⋃	PROPN
ejpam-6065	287	12	y∈s2	y∈s2	PROPN
ejpam-6065	287	13	[	[	X
ejpam-6065	287	14	{	{	PUNCT
ejpam-6065	287	15	y	y	NOUN
ejpam-6065	287	16	}	}	PUNCT
ejpam-6065	287	17	×	×	NOUN
ejpam-6065	287	18	ty	ty	PRON
ejpam-6065	287	19	]	]	X
ejpam-6065	287	20	,	,	PUNCT
ejpam-6065	287	21	where	where	SCONJ
ejpam-6065	287	22	s1	s1	NOUN
ejpam-6065	287	23	,	,	PUNCT
ejpam-6065	287	24	s2	s2	VERB
ejpam-6065	287	25	⊆	⊆	NUM
ejpam-6065	287	26	v	v	NOUN
ejpam-6065	287	27	(	(	PUNCT
ejpam-6065	287	28	g	g	NOUN
ejpam-6065	287	29	)	)	PUNCT
ejpam-6065	287	30	and	and	CCONJ
ejpam-6065	287	31	tx	tx	PROPN
ejpam-6065	287	32	,	,	PUNCT
ejpam-6065	287	33	ty	ty	PRON
ejpam-6065	287	34	⊆	⊆	NUM
ejpam-6065	287	35	v	v	NOUN
ejpam-6065	287	36	(	(	PUNCT
ejpam-6065	287	37	h	h	NOUN
ejpam-6065	287	38	)	)	PUNCT
ejpam-6065	287	39	for	for	ADP
ejpam-6065	287	40	x	x	PROPN
ejpam-6065	287	41	∈	∈	PROPN
ejpam-6065	287	42	s1	s1	PROPN
ejpam-6065	287	43	and	and	CCONJ
ejpam-6065	287	44	y	y	PROPN
ejpam-6065	287	45	∈	∈	PROPN
ejpam-6065	287	46	s2	s2	NOUN
ejpam-6065	287	47	such	such	ADJ
ejpam-6065	287	48	that	that	DET
ejpam-6065	287	49	|c1|	|c1|	NOUN
ejpam-6065	287	50	=	=	SYM
ejpam-6065	287	51	|c2|	|c2|	NOUN
ejpam-6065	287	52	=	=	SYM
ejpam-6065	287	53	1	1	NUM
ejpam-6065	287	54	and	and	CCONJ
ejpam-6065	287	55	c.	c.	PROPN
ejpam-6065	287	56	l.	l.	PROPN
ejpam-6065	287	57	armada	armada	PROPN
ejpam-6065	287	58	et	et	PROPN
ejpam-6065	287	59	al	al	PROPN
ejpam-6065	287	60	.	.	PUNCT
ejpam-6065	287	61	/	/	SYM
ejpam-6065	287	62	eur	eur	PROPN
ejpam-6065	287	63	.	.	PUNCT
ejpam-6065	288	1	j.	j.	PROPN
ejpam-6065	288	2	pure	pure	PROPN
ejpam-6065	288	3	appl	appl	PROPN
ejpam-6065	288	4	.	.	PROPN
ejpam-6065	288	5	math	math	PROPN
ejpam-6065	288	6	,	,	PUNCT
ejpam-6065	288	7	18	18	NUM
ejpam-6065	288	8	(	(	PUNCT
ejpam-6065	288	9	2	2	NUM
ejpam-6065	288	10	)	)	PUNCT
ejpam-6065	288	11	(	(	PUNCT
ejpam-6065	288	12	2025	2025	NUM
ejpam-6065	288	13	)	)	PUNCT
ejpam-6065	288	14	,	,	PUNCT
ejpam-6065	288	15	6065	6065	NUM
ejpam-6065	288	16	12	12	NUM
ejpam-6065	288	17	of	of	ADP
ejpam-6065	288	18	14	14	NUM
ejpam-6065	288	19	set	set	VERB
ejpam-6065	288	20	tx	tx	PROPN
ejpam-6065	288	21	=	=	PUNCT
ejpam-6065	288	22	ty	ty	NOUN
ejpam-6065	289	1	=	=	PUNCT
ejpam-6065	289	2	{	{	PUNCT
ejpam-6065	289	3	a	a	NOUN
ejpam-6065	289	4	}	}	PUNCT
ejpam-6065	289	5	,	,	PUNCT
ejpam-6065	289	6	that	that	ADV
ejpam-6065	289	7	is	is	ADV
ejpam-6065	289	8	,	,	PUNCT
ejpam-6065	289	9	c1	c1	PROPN
ejpam-6065	289	10	=	=	SYM
ejpam-6065	289	11	{	{	PUNCT
ejpam-6065	289	12	(	(	PUNCT
ejpam-6065	289	13	x	x	NOUN
ejpam-6065	289	14	,	,	PUNCT
ejpam-6065	289	15	a	a	NOUN
ejpam-6065	289	16	)	)	PUNCT
ejpam-6065	289	17	}	}	PUNCT
ejpam-6065	289	18	and	and	CCONJ
ejpam-6065	289	19	c2	c2	PROPN
ejpam-6065	289	20	=	=	SYM
ejpam-6065	289	21	{	{	PUNCT
ejpam-6065	289	22	(	(	PUNCT
ejpam-6065	289	23	y	y	PROPN
ejpam-6065	289	24	,	,	PUNCT
ejpam-6065	289	25	a	a	PRON
ejpam-6065	289	26	)	)	PUNCT
ejpam-6065	289	27	}	}	PUNCT
ejpam-6065	289	28	are	be	AUX
ejpam-6065	289	29	the	the	DET
ejpam-6065	289	30	γcl	γcl	NOUN
ejpam-6065	289	31	-	-	PUNCT
ejpam-6065	289	32	sets	set	NOUN
ejpam-6065	289	33	of	of	ADP
ejpam-6065	289	34	g[h	g[h	NOUN
ejpam-6065	289	35	]	]	PUNCT
ejpam-6065	289	36	.	.	PUNCT
ejpam-6065	290	1	clearly	clearly	ADV
ejpam-6065	290	2	,	,	PUNCT
ejpam-6065	290	3	the	the	DET
ejpam-6065	290	4	vertex	vertex	NOUN
ejpam-6065	290	5	(	(	PUNCT
ejpam-6065	290	6	x	x	NOUN
ejpam-6065	290	7	,	,	PUNCT
ejpam-6065	290	8	a	a	PRON
ejpam-6065	290	9	)	)	PUNCT
ejpam-6065	290	10	is	be	AUX
ejpam-6065	290	11	contained	contain	VERB
ejpam-6065	290	12	in	in	ADP
ejpam-6065	290	13	c1	c1	PROPN
ejpam-6065	290	14	only	only	ADV
ejpam-6065	290	15	.	.	PUNCT
ejpam-6065	291	1	by	by	ADP
ejpam-6065	291	2	theorem	theorem	ADJ
ejpam-6065	291	3	3.1	3.1	NUM
ejpam-6065	291	4	(	(	PUNCT
ejpam-6065	291	5	ii	ii	NOUN
ejpam-6065	291	6	)	)	PUNCT
ejpam-6065	291	7	,	,	PUNCT
ejpam-6065	291	8	fγcl(g[h	fγcl(g[h	NOUN
ejpam-6065	291	9	]	]	X
ejpam-6065	291	10	)	)	PUNCT
ejpam-6065	291	11	=	=	SYM
ejpam-6065	292	1	1	1	X
ejpam-6065	292	2	.	.	X
ejpam-6065	292	3	similarly	similarly	ADV
ejpam-6065	292	4	,	,	PUNCT
ejpam-6065	292	5	if	if	SCONJ
ejpam-6065	292	6	h	h	NOUN
ejpam-6065	292	7	has	have	VERB
ejpam-6065	292	8	no	no	DET
ejpam-6065	292	9	unique	unique	ADJ
ejpam-6065	292	10	γ	γ	NOUN
ejpam-6065	292	11	-	-	PUNCT
ejpam-6065	292	12	sets	set	NOUN
ejpam-6065	292	13	or	or	CCONJ
ejpam-6065	292	14	both	both	DET
ejpam-6065	292	15	g	g	PROPN
ejpam-6065	292	16	and	and	CCONJ
ejpam-6065	292	17	h	h	NOUN
ejpam-6065	292	18	have	have	VERB
ejpam-6065	292	19	no	no	DET
ejpam-6065	292	20	unique	unique	ADJ
ejpam-6065	292	21	γ	γ	NOUN
ejpam-6065	292	22	-	-	PUNCT
ejpam-6065	292	23	sets	set	NOUN
ejpam-6065	292	24	,	,	PUNCT
ejpam-6065	292	25	fγcl(g[h	fγcl(g[h	NOUN
ejpam-6065	292	26	]	]	X
ejpam-6065	292	27	)	)	PUNCT
ejpam-6065	292	28	=	=	SYM
ejpam-6065	292	29	1	1	X
ejpam-6065	292	30	.	.	X
ejpam-6065	292	31	case	case	NOUN
ejpam-6065	292	32	3	3	X
ejpam-6065	292	33	.	.	PUNCT
ejpam-6065	292	34	suppose	suppose	VERB
ejpam-6065	292	35	that	that	SCONJ
ejpam-6065	292	36	γ(g	γ(g	PROPN
ejpam-6065	292	37	)	)	PUNCT
ejpam-6065	292	38	=	=	SYM
ejpam-6065	292	39	1	1	NUM
ejpam-6065	292	40	and	and	CCONJ
ejpam-6065	292	41	γ(h	γ(h	NOUN
ejpam-6065	292	42	)	)	PUNCT
ejpam-6065	292	43	̸=	̸=	PROPN
ejpam-6065	292	44	1	1	NUM
ejpam-6065	292	45	.	.	PUNCT
ejpam-6065	292	46	by	by	ADP
ejpam-6065	292	47	corollary	corollary	ADJ
ejpam-6065	292	48	2.10	2.10	NUM
ejpam-6065	292	49	,	,	PUNCT
ejpam-6065	292	50	γcl(g[h	γcl(g[h	NUM
ejpam-6065	292	51	]	]	PUNCT
ejpam-6065	292	52	)	)	PUNCT
ejpam-6065	292	53	=	=	SYM
ejpam-6065	293	1	2	2	X
ejpam-6065	293	2	.	.	X
ejpam-6065	293	3	let	let	VERB
ejpam-6065	293	4	s	s	VERB
ejpam-6065	293	5	=	=	PUNCT
ejpam-6065	293	6	{	{	PUNCT
ejpam-6065	293	7	x	x	PROPN
ejpam-6065	293	8	,	,	PUNCT
ejpam-6065	293	9	y	y	PROPN
ejpam-6065	293	10	}	}	PUNCT
ejpam-6065	293	11	be	be	AUX
ejpam-6065	293	12	a	a	DET
ejpam-6065	293	13	clique	clique	NOUN
ejpam-6065	293	14	dominating	dominating	NOUN
ejpam-6065	293	15	set	set	NOUN
ejpam-6065	293	16	of	of	ADP
ejpam-6065	293	17	g	g	PROPN
ejpam-6065	293	18	such	such	ADJ
ejpam-6065	293	19	that	that	SCONJ
ejpam-6065	293	20	xy	xy	PROPN
ejpam-6065	293	21	∈	∈	PROPN
ejpam-6065	293	22	e(g	e(g	PROPN
ejpam-6065	293	23	)	)	PUNCT
ejpam-6065	293	24	.	.	PUNCT
ejpam-6065	294	1	choose	choose	VERB
ejpam-6065	294	2	any	any	DET
ejpam-6065	294	3	vertex	vertex	NOUN
ejpam-6065	294	4	a	a	DET
ejpam-6065	294	5	∈	∈	NOUN
ejpam-6065	294	6	v	v	ADP
ejpam-6065	294	7	(	(	PUNCT
ejpam-6065	294	8	h	h	NOUN
ejpam-6065	294	9	)	)	PUNCT
ejpam-6065	294	10	.	.	PUNCT
ejpam-6065	295	1	then	then	ADV
ejpam-6065	295	2	c	c	X
ejpam-6065	295	3	=	=	PRON
ejpam-6065	295	4	{	{	PUNCT
ejpam-6065	295	5	(	(	PUNCT
ejpam-6065	295	6	x	x	NOUN
ejpam-6065	295	7	,	,	PUNCT
ejpam-6065	295	8	a	a	PRON
ejpam-6065	295	9	)	)	PUNCT
ejpam-6065	295	10	,	,	PUNCT
ejpam-6065	295	11	(	(	PUNCT
ejpam-6065	295	12	y	y	NOUN
ejpam-6065	295	13	,	,	PUNCT
ejpam-6065	295	14	a	a	PRON
ejpam-6065	295	15	)	)	PUNCT
ejpam-6065	295	16	}	}	PUNCT
ejpam-6065	295	17	is	be	AUX
ejpam-6065	295	18	a	a	DET
ejpam-6065	295	19	γcl	γcl	NOUN
ejpam-6065	295	20	-	-	PUNCT
ejpam-6065	295	21	set	set	NOUN
ejpam-6065	295	22	of	of	ADP
ejpam-6065	295	23	g[h	g[h	NOUN
ejpam-6065	295	24	]	]	PUNCT
ejpam-6065	295	25	by	by	ADP
ejpam-6065	295	26	theorem	theorem	ADJ
ejpam-6065	295	27	2.9	2.9	NUM
ejpam-6065	295	28	and	and	CCONJ
ejpam-6065	295	29	corollary	corollary	ADJ
ejpam-6065	295	30	2.10	2.10	NUM
ejpam-6065	295	31	.	.	PUNCT
ejpam-6065	296	1	choose	choose	VERB
ejpam-6065	296	2	c	c	PROPN
ejpam-6065	296	3	∈	∈	PROPN
ejpam-6065	296	4	v	v	NOUN
ejpam-6065	296	5	(	(	PUNCT
ejpam-6065	296	6	h)\{a	h)\{a	NOUN
ejpam-6065	296	7	}	}	PUNCT
ejpam-6065	296	8	.	.	PUNCT
ejpam-6065	297	1	it	it	PRON
ejpam-6065	297	2	follows	follow	VERB
ejpam-6065	297	3	that	that	SCONJ
ejpam-6065	297	4	{	{	PUNCT
ejpam-6065	297	5	(	(	PUNCT
ejpam-6065	297	6	x	x	NOUN
ejpam-6065	297	7	,	,	PUNCT
ejpam-6065	297	8	a	a	NOUN
ejpam-6065	297	9	)	)	PUNCT
ejpam-6065	297	10	}	}	PUNCT
ejpam-6065	297	11	⊆	⊆	NUM
ejpam-6065	297	12	c1	c1	NOUN
ejpam-6065	297	13	=	=	SYM
ejpam-6065	297	14	{	{	PUNCT
ejpam-6065	297	15	(	(	PUNCT
ejpam-6065	297	16	x	x	NOUN
ejpam-6065	297	17	,	,	PUNCT
ejpam-6065	297	18	a	a	PRON
ejpam-6065	297	19	)	)	PUNCT
ejpam-6065	297	20	,	,	PUNCT
ejpam-6065	297	21	(	(	PUNCT
ejpam-6065	297	22	y	y	NOUN
ejpam-6065	297	23	,	,	PUNCT
ejpam-6065	297	24	c	c	NOUN
ejpam-6065	297	25	)	)	PUNCT
ejpam-6065	297	26	}	}	PUNCT
ejpam-6065	297	27	and	and	CCONJ
ejpam-6065	297	28	{	{	PUNCT
ejpam-6065	297	29	(	(	PUNCT
ejpam-6065	297	30	y	y	PROPN
ejpam-6065	297	31	,	,	PUNCT
ejpam-6065	297	32	a	a	NOUN
ejpam-6065	297	33	)	)	PUNCT
ejpam-6065	297	34	}	}	PUNCT
ejpam-6065	297	35	⊆	⊆	NUM
ejpam-6065	297	36	c2	c2	PROPN
ejpam-6065	297	37	=	=	SYM
ejpam-6065	297	38	{	{	PUNCT
ejpam-6065	297	39	(	(	PUNCT
ejpam-6065	297	40	x	x	NOUN
ejpam-6065	297	41	,	,	PUNCT
ejpam-6065	297	42	c	c	NOUN
ejpam-6065	297	43	)	)	PUNCT
ejpam-6065	297	44	,	,	PUNCT
ejpam-6065	297	45	(	(	PUNCT
ejpam-6065	297	46	y	y	NOUN
ejpam-6065	297	47	,	,	PUNCT
ejpam-6065	297	48	a	a	NOUN
ejpam-6065	297	49	)	)	PUNCT
ejpam-6065	297	50	}	}	PUNCT
ejpam-6065	297	51	,	,	PUNCT
ejpam-6065	297	52	where	where	SCONJ
ejpam-6065	297	53	c1	c1	PROPN
ejpam-6065	297	54	and	and	CCONJ
ejpam-6065	297	55	c2	c2	PROPN
ejpam-6065	297	56	are	be	AUX
ejpam-6065	297	57	also	also	ADV
ejpam-6065	297	58	γcl	γcl	ADJ
ejpam-6065	297	59	-	-	PUNCT
ejpam-6065	297	60	sets	set	NOUN
ejpam-6065	297	61	of	of	ADP
ejpam-6065	297	62	g[h	g[h	NOUN
ejpam-6065	297	63	]	]	X
ejpam-6065	297	64	different	different	ADJ
ejpam-6065	297	65	from	from	ADP
ejpam-6065	297	66	c.	c.	PROPN
ejpam-6065	297	67	it	it	PRON
ejpam-6065	297	68	follows	follow	VERB
ejpam-6065	297	69	that	that	PRON
ejpam-6065	297	70	fγcl(c	fγcl(c	NOUN
ejpam-6065	297	71	)	)	PUNCT
ejpam-6065	298	1	=	=	SYM
ejpam-6065	298	2	2	2	NUM
ejpam-6065	298	3	=	=	SYM
ejpam-6065	298	4	fγcl(g[h	fγcl(g[h	NOUN
ejpam-6065	298	5	]	]	X
ejpam-6065	298	6	)	)	PUNCT
ejpam-6065	298	7	.	.	PUNCT
ejpam-6065	299	1	case	case	NOUN
ejpam-6065	299	2	4	4	X
ejpam-6065	299	3	.	.	PUNCT
ejpam-6065	299	4	suppose	suppose	VERB
ejpam-6065	299	5	that	that	SCONJ
ejpam-6065	299	6	γ(g	γ(g	PROPN
ejpam-6065	299	7	)	)	PUNCT
ejpam-6065	299	8	>	>	X
ejpam-6065	300	1	1	1	X
ejpam-6065	300	2	.	.	PUNCT
ejpam-6065	300	3	by	by	ADP
ejpam-6065	300	4	corollary	corollary	ADJ
ejpam-6065	300	5	2.10	2.10	NUM
ejpam-6065	300	6	,	,	PUNCT
ejpam-6065	300	7	γcl(g[h	γcl(g[h	NUM
ejpam-6065	300	8	]	]	PUNCT
ejpam-6065	300	9	)	)	PUNCT
ejpam-6065	300	10	=	=	SYM
ejpam-6065	300	11	γcl(g	γcl(g	X
ejpam-6065	300	12	)	)	PUNCT
ejpam-6065	300	13	.	.	PUNCT
ejpam-6065	301	1	let	let	VERB
ejpam-6065	301	2	c	c	NOUN
ejpam-6065	301	3	=	=	PUNCT
ejpam-6065	302	1	⋃	⋃	PROPN
ejpam-6065	302	2	x∈s	x∈s	NOUN
ejpam-6065	303	1	[	[	X
ejpam-6065	303	2	{	{	PUNCT
ejpam-6065	303	3	x	x	NOUN
ejpam-6065	303	4	}	}	PUNCT
ejpam-6065	303	5	×	×	PROPN
ejpam-6065	303	6	tx	tx	PROPN
ejpam-6065	303	7	]	]	PUNCT
ejpam-6065	303	8	be	be	AUX
ejpam-6065	303	9	a	a	DET
ejpam-6065	303	10	γcl	γcl	NOUN
ejpam-6065	303	11	-	-	PUNCT
ejpam-6065	303	12	set	set	NOUN
ejpam-6065	303	13	of	of	ADP
ejpam-6065	303	14	g[h	g[h	PROPN
ejpam-6065	303	15	]	]	PUNCT
ejpam-6065	303	16	and	and	CCONJ
ejpam-6065	303	17	let	let	VERB
ejpam-6065	303	18	fc	fc	PROPN
ejpam-6065	303	19	=	=	PUNCT
ejpam-6065	303	20	⋃	⋃	PROPN
ejpam-6065	303	21	x∈d	x∈d	NOUN
ejpam-6065	304	1	[	[	X
ejpam-6065	304	2	{	{	PUNCT
ejpam-6065	304	3	x	x	NOUN
ejpam-6065	304	4	}	}	PUNCT
ejpam-6065	304	5	×	×	PROPN
ejpam-6065	304	6	fx	fx	PROPN
ejpam-6065	304	7	]	]	PUNCT
ejpam-6065	304	8	be	be	AUX
ejpam-6065	304	9	a	a	DET
ejpam-6065	304	10	forcing	forcing	NOUN
ejpam-6065	304	11	subset	subset	NOUN
ejpam-6065	304	12	for	for	ADP
ejpam-6065	304	13	c.	c.	PROPN
ejpam-6065	304	14	suppose	suppose	VERB
ejpam-6065	304	15	that	that	SCONJ
ejpam-6065	304	16	s	s	VERB
ejpam-6065	304	17	is	be	AUX
ejpam-6065	304	18	a	a	DET
ejpam-6065	304	19	γcl	γcl	NOUN
ejpam-6065	304	20	-	-	PUNCT
ejpam-6065	304	21	set	set	NOUN
ejpam-6065	304	22	of	of	ADP
ejpam-6065	304	23	g.	g.	PROPN
ejpam-6065	304	24	then	then	ADV
ejpam-6065	304	25	|c|	|c|	PROPN
ejpam-6065	304	26	=	=	SYM
ejpam-6065	304	27	|s|	|s|	PROPN
ejpam-6065	304	28	and	and	CCONJ
ejpam-6065	304	29	so	so	ADV
ejpam-6065	304	30	,	,	PUNCT
ejpam-6065	304	31	|tx|	|tx|	NOUN
ejpam-6065	304	32	=	=	SYM
ejpam-6065	304	33	1	1	NUM
ejpam-6065	304	34	for	for	ADP
ejpam-6065	304	35	all	all	DET
ejpam-6065	304	36	x	x	SYM
ejpam-6065	304	37	∈	∈	PROPN
ejpam-6065	304	38	s.	s.	PROPN
ejpam-6065	304	39	hence	hence	ADV
ejpam-6065	304	40	,	,	PUNCT
ejpam-6065	304	41	fx	fx	PROPN
ejpam-6065	304	42	=	=	PUNCT
ejpam-6065	304	43	tx	tx	PROPN
ejpam-6065	304	44	for	for	ADP
ejpam-6065	304	45	all	all	DET
ejpam-6065	304	46	x	x	SYM
ejpam-6065	304	47	∈	∈	PROPN
ejpam-6065	304	48	d.	d.	NOUN
ejpam-6065	304	49	if	if	SCONJ
ejpam-6065	304	50	d	d	PROPN
ejpam-6065	304	51	̸=	̸=	PROPN
ejpam-6065	304	52	s	s	PART
ejpam-6065	304	53	,	,	PUNCT
ejpam-6065	304	54	say	say	VERB
ejpam-6065	304	55	y	y	PROPN
ejpam-6065	304	56	∈	∈	PROPN
ejpam-6065	304	57	s\d	s\d	NOUN
ejpam-6065	304	58	,	,	PUNCT
ejpam-6065	304	59	then	then	ADV
ejpam-6065	304	60	fc	fc	PROPN
ejpam-6065	304	61	⊆	⊆	NUM
ejpam-6065	304	62	c	c	NOUN
ejpam-6065	304	63	′	′	NOUN
ejpam-6065	304	64	=	=	PUNCT
ejpam-6065	305	1	⋃	⋃	PROPN
ejpam-6065	305	2	x∈s	x∈s	NOUN
ejpam-6065	306	1	[	[	X
ejpam-6065	306	2	{	{	PUNCT
ejpam-6065	306	3	x	x	NOUN
ejpam-6065	306	4	}	}	PUNCT
ejpam-6065	306	5	×	×	NOUN
ejpam-6065	306	6	t	t	NOUN
ejpam-6065	306	7	′	′	NUM
ejpam-6065	306	8	x	x	X
ejpam-6065	306	9	]	]	X
ejpam-6065	306	10	,	,	PUNCT
ejpam-6065	306	11	where	where	SCONJ
ejpam-6065	306	12	t	t	NOUN
ejpam-6065	306	13	′	′	NUM
ejpam-6065	306	14	x	x	PUNCT
ejpam-6065	307	1	=	=	PRON
ejpam-6065	307	2	tx	tx	VERB
ejpam-6065	307	3	for	for	ADP
ejpam-6065	307	4	x	x	PROPN
ejpam-6065	307	5	∈	∈	PROPN
ejpam-6065	307	6	s\{y	s\{y	X
ejpam-6065	307	7	}	}	PUNCT
ejpam-6065	307	8	and	and	CCONJ
ejpam-6065	307	9	t	t	PROPN
ejpam-6065	307	10	′	′	NOUN
ejpam-6065	308	1	y	y	PROPN
ejpam-6065	308	2	is	be	AUX
ejpam-6065	308	3	a	a	DET
ejpam-6065	308	4	singleton	singleton	NOUN
ejpam-6065	308	5	subset	subset	NOUN
ejpam-6065	308	6	of	of	ADP
ejpam-6065	308	7	h	h	NOUN
ejpam-6065	308	8	different	different	ADJ
ejpam-6065	308	9	from	from	ADP
ejpam-6065	308	10	ty	ty	PRON
ejpam-6065	308	11	.	.	PUNCT
ejpam-6065	309	1	since	since	SCONJ
ejpam-6065	309	2	c	c	PROPN
ejpam-6065	309	3	′	′	PROPN
ejpam-6065	309	4	is	be	AUX
ejpam-6065	309	5	a	a	DET
ejpam-6065	309	6	γcl	γcl	NOUN
ejpam-6065	309	7	-	-	PUNCT
ejpam-6065	309	8	set	set	NOUN
ejpam-6065	309	9	of	of	ADP
ejpam-6065	309	10	g[h	g[h	NOUN
ejpam-6065	309	11	]	]	PUNCT
ejpam-6065	309	12	and	and	CCONJ
ejpam-6065	309	13	c	c	NOUN
ejpam-6065	309	14	′	′	NOUN
ejpam-6065	310	1	̸=	̸=	PROPN
ejpam-6065	310	2	c	c	AUX
ejpam-6065	310	3	,	,	PUNCT
ejpam-6065	310	4	fc	fc	PROPN
ejpam-6065	310	5	is	be	AUX
ejpam-6065	310	6	not	not	PART
ejpam-6065	310	7	a	a	DET
ejpam-6065	310	8	forcing	forcing	NOUN
ejpam-6065	310	9	subset	subset	NOUN
ejpam-6065	310	10	for	for	ADP
ejpam-6065	310	11	c	c	PROPN
ejpam-6065	310	12	,	,	PUNCT
ejpam-6065	310	13	contrary	contrary	ADV
ejpam-6065	310	14	to	to	ADP
ejpam-6065	310	15	the	the	DET
ejpam-6065	310	16	assumption	assumption	NOUN
ejpam-6065	310	17	.	.	PUNCT
ejpam-6065	311	1	thus	thus	ADV
ejpam-6065	311	2	,	,	PUNCT
ejpam-6065	311	3	d	d	PROPN
ejpam-6065	311	4	=	=	SYM
ejpam-6065	311	5	s	s	PROPN
ejpam-6065	311	6	,	,	PUNCT
ejpam-6065	311	7	that	that	ADV
ejpam-6065	311	8	is	is	ADV
ejpam-6065	311	9	,	,	PUNCT
ejpam-6065	311	10	fc	fc	PROPN
ejpam-6065	311	11	=	=	SYM
ejpam-6065	311	12	c.	c.	PROPN
ejpam-6065	312	1	hence	hence	ADV
ejpam-6065	312	2	,	,	PUNCT
ejpam-6065	312	3	fγcl(c	fγcl(c	NOUN
ejpam-6065	312	4	)	)	PUNCT
ejpam-6065	312	5	=	=	SYM
ejpam-6065	312	6	|c|	|c|	PROPN
ejpam-6065	312	7	=	=	SYM
ejpam-6065	312	8	γcl(g	γcl(g	PROPN
ejpam-6065	312	9	)	)	PUNCT
ejpam-6065	312	10	=	=	PUNCT
ejpam-6065	312	11	fγcl(g[h	fγcl(g[h	NOUN
ejpam-6065	312	12	]	]	X
ejpam-6065	312	13	)	)	PUNCT
ejpam-6065	312	14	.	.	PUNCT
ejpam-6065	313	1	the	the	DET
ejpam-6065	313	2	next	next	ADJ
ejpam-6065	313	3	result	result	NOUN
ejpam-6065	313	4	follows	follow	VERB
ejpam-6065	313	5	from	from	ADP
ejpam-6065	313	6	theorem	theorem	ADJ
ejpam-6065	313	7	3.15	3.15	NUM
ejpam-6065	313	8	.	.	PUNCT
ejpam-6065	314	1	corollary	corollary	ADJ
ejpam-6065	314	2	3.16	3.16	NUM
ejpam-6065	314	3	.	.	PUNCT
ejpam-6065	315	1	let	let	VERB
ejpam-6065	315	2	h	h	PRON
ejpam-6065	315	3	be	be	AUX
ejpam-6065	315	4	a	a	DET
ejpam-6065	315	5	connected	connected	ADJ
ejpam-6065	315	6	nontrivial	nontrivial	ADJ
ejpam-6065	315	7	graph	graph	NOUN
ejpam-6065	315	8	.	.	PUNCT
ejpam-6065	316	1	then	then	ADV
ejpam-6065	316	2	for	for	ADP
ejpam-6065	316	3	any	any	DET
ejpam-6065	316	4	complete	complete	ADJ
ejpam-6065	316	5	nontrivial	nontrivial	NOUN
ejpam-6065	316	6	graph	graph	NOUN
ejpam-6065	316	7	kn	kn	PROPN
ejpam-6065	316	8	,	,	PUNCT
ejpam-6065	316	9	fγcl(kn[h	fγcl(kn[h	PROPN
ejpam-6065	316	10	]	]	X
ejpam-6065	316	11	)	)	PUNCT
ejpam-6065	316	12	=	=	SYM
ejpam-6065	316	13	{	{	PUNCT
ejpam-6065	316	14	1	1	NUM
ejpam-6065	316	15	,	,	PUNCT
ejpam-6065	316	16	if	if	SCONJ
ejpam-6065	316	17	γ(h	γ(h	NOUN
ejpam-6065	316	18	)	)	PUNCT
ejpam-6065	316	19	=	=	SYM
ejpam-6065	316	20	1	1	NUM
ejpam-6065	316	21	,	,	PUNCT
ejpam-6065	316	22	2	2	NUM
ejpam-6065	316	23	,	,	PUNCT
ejpam-6065	316	24	if	if	SCONJ
ejpam-6065	316	25	γ(h	γ(h	NOUN
ejpam-6065	316	26	)	)	PUNCT
ejpam-6065	316	27	̸=	̸=	PROPN
ejpam-6065	316	28	1	1	NUM
ejpam-6065	316	29	.	.	PUNCT
ejpam-6065	316	30	corollary	corollary	ADJ
ejpam-6065	316	31	3.17	3.17	NUM
ejpam-6065	316	32	.	.	PUNCT
ejpam-6065	317	1	let	let	VERB
ejpam-6065	317	2	g	g	NOUN
ejpam-6065	317	3	and	and	CCONJ
ejpam-6065	317	4	h	h	NOUN
ejpam-6065	317	5	be	be	AUX
ejpam-6065	317	6	connected	connect	VERB
ejpam-6065	317	7	nontrivial	nontrivial	ADJ
ejpam-6065	317	8	graphs	graph	NOUN
ejpam-6065	317	9	.	.	PUNCT
ejpam-6065	318	1	then	then	ADV
ejpam-6065	318	2	for	for	ADP
ejpam-6065	318	3	any	any	DET
ejpam-6065	318	4	complete	complete	ADJ
ejpam-6065	318	5	nontrivial	nontrivial	NOUN
ejpam-6065	318	6	graph	graph	NOUN
ejpam-6065	318	7	kn	kn	PROPN
ejpam-6065	318	8	,	,	PUNCT
ejpam-6065	318	9	fγcl((kn	fγcl((kn	PROPN
ejpam-6065	318	10	◦	◦	PROPN
ejpam-6065	318	11	g)[h	g)[h	PROPN
ejpam-6065	318	12	]	]	PUNCT
ejpam-6065	318	13	)	)	PUNCT
ejpam-6065	318	14	=	=	SYM
ejpam-6065	318	15	n.	n.	NOUN
ejpam-6065	318	16	proof	proof	NOUN
ejpam-6065	318	17	:	:	PUNCT
ejpam-6065	318	18	by	by	ADP
ejpam-6065	318	19	corollary	corollary	ADJ
ejpam-6065	318	20	2.8	2.8	NUM
ejpam-6065	318	21	,	,	PUNCT
ejpam-6065	318	22	kn	kn	PROPN
ejpam-6065	318	23	◦	◦	NOUN
ejpam-6065	318	24	g	g	PROPN
ejpam-6065	318	25	has	have	VERB
ejpam-6065	318	26	a	a	DET
ejpam-6065	318	27	minimum	minimum	ADJ
ejpam-6065	318	28	clique	clique	NOUN
ejpam-6065	318	29	dominating	dominating	NOUN
ejpam-6065	318	30	set	set	NOUN
ejpam-6065	318	31	and	and	CCONJ
ejpam-6065	318	32	γcl(kn	γcl(kn	NOUN
ejpam-6065	318	33	◦	◦	NOUN
ejpam-6065	318	34	g	g	NOUN
ejpam-6065	318	35	)	)	PUNCT
ejpam-6065	318	36	=	=	SYM
ejpam-6065	318	37	|v	|v	PROPN
ejpam-6065	318	38	(	(	PUNCT
ejpam-6065	318	39	kn)|	kn)|	PROPN
ejpam-6065	318	40	=	=	PUNCT
ejpam-6065	318	41	n	n	PRON
ejpam-6065	318	42	such	such	ADJ
ejpam-6065	318	43	that	that	SCONJ
ejpam-6065	318	44	n	n	PROPN
ejpam-6065	318	45	>	>	X
ejpam-6065	318	46	1	1	NUM
ejpam-6065	318	47	since	since	SCONJ
ejpam-6065	318	48	kn	kn	PROPN
ejpam-6065	318	49	is	be	AUX
ejpam-6065	318	50	nontrivial	nontrivial	ADJ
ejpam-6065	318	51	.	.	PUNCT
ejpam-6065	319	1	by	by	ADP
ejpam-6065	319	2	theorem	theorem	ADJ
ejpam-6065	319	3	2.3	2.3	NUM
ejpam-6065	319	4	,	,	PUNCT
ejpam-6065	319	5	γ(kn	γ(kn	VERB
ejpam-6065	319	6	◦	◦	NOUN
ejpam-6065	319	7	g	g	NOUN
ejpam-6065	319	8	)	)	PUNCT
ejpam-6065	319	9	>	>	X
ejpam-6065	320	1	1	1	X
ejpam-6065	320	2	.	.	PUNCT
ejpam-6065	320	3	by	by	ADP
ejpam-6065	320	4	theorem	theorem	ADJ
ejpam-6065	320	5	3.15	3.15	NUM
ejpam-6065	320	6	and	and	CCONJ
ejpam-6065	320	7	corollary	corollary	ADJ
ejpam-6065	320	8	2.8	2.8	NUM
ejpam-6065	320	9	,	,	PUNCT
ejpam-6065	320	10	fγcl((kn	fγcl((kn	NOUN
ejpam-6065	320	11	◦	◦	PROPN
ejpam-6065	320	12	g)[h	g)[h	PROPN
ejpam-6065	320	13	]	]	PUNCT
ejpam-6065	320	14	)	)	PUNCT
ejpam-6065	321	1	=	=	PUNCT
ejpam-6065	321	2	γcl(kn	γcl(kn	NOUN
ejpam-6065	321	3	◦	◦	NOUN
ejpam-6065	321	4	g	g	NOUN
ejpam-6065	321	5	)	)	PUNCT
ejpam-6065	321	6	=	=	SYM
ejpam-6065	322	1	n.	n.	PROPN
ejpam-6065	322	2	c.	c.	PROPN
ejpam-6065	322	3	l.	l.	PROPN
ejpam-6065	322	4	armada	armada	PROPN
ejpam-6065	322	5	et	et	PROPN
ejpam-6065	322	6	al	al	PROPN
ejpam-6065	322	7	.	.	PUNCT
ejpam-6065	322	8	/	/	SYM
ejpam-6065	322	9	eur	eur	PROPN
ejpam-6065	322	10	.	.	PUNCT
ejpam-6065	323	1	j.	j.	PROPN
ejpam-6065	323	2	pure	pure	PROPN
ejpam-6065	323	3	appl	appl	PROPN
ejpam-6065	323	4	.	.	PROPN
ejpam-6065	323	5	math	math	PROPN
ejpam-6065	323	6	,	,	PUNCT
ejpam-6065	323	7	18	18	NUM
ejpam-6065	323	8	(	(	PUNCT
ejpam-6065	323	9	2	2	NUM
ejpam-6065	323	10	)	)	PUNCT
ejpam-6065	323	11	(	(	PUNCT
ejpam-6065	323	12	2025	2025	NUM
ejpam-6065	323	13	)	)	PUNCT
ejpam-6065	323	14	,	,	PUNCT
ejpam-6065	323	15	6065	6065	NUM
ejpam-6065	323	16	13	13	NUM
ejpam-6065	323	17	of	of	ADP
ejpam-6065	323	18	14	14	NUM
ejpam-6065	323	19	4	4	NUM
ejpam-6065	323	20	.	.	PUNCT
ejpam-6065	324	1	conclusion	conclusion	NOUN
ejpam-6065	324	2	in	in	ADP
ejpam-6065	324	3	this	this	DET
ejpam-6065	324	4	study	study	NOUN
ejpam-6065	324	5	,	,	PUNCT
ejpam-6065	324	6	the	the	DET
ejpam-6065	324	7	idea	idea	NOUN
ejpam-6065	324	8	of	of	ADP
ejpam-6065	324	9	forcing	force	VERB
ejpam-6065	324	10	clique	clique	ADJ
ejpam-6065	324	11	domination	domination	NOUN
ejpam-6065	324	12	in	in	ADP
ejpam-6065	324	13	graphs	graph	NOUN
ejpam-6065	324	14	was	be	AUX
ejpam-6065	324	15	examined	examine	VERB
ejpam-6065	324	16	along	along	ADP
ejpam-6065	324	17	with	with	ADP
ejpam-6065	324	18	its	its	PRON
ejpam-6065	324	19	basic	basic	ADJ
ejpam-6065	324	20	characteristics	characteristic	NOUN
ejpam-6065	324	21	.	.	PUNCT
ejpam-6065	325	1	we	we	PRON
ejpam-6065	325	2	investigated	investigate	VERB
ejpam-6065	325	3	how	how	SCONJ
ejpam-6065	325	4	the	the	DET
ejpam-6065	325	5	forcing	force	VERB
ejpam-6065	325	6	clique	clique	NOUN
ejpam-6065	325	7	domination	domination	NOUN
ejpam-6065	325	8	number	number	NOUN
ejpam-6065	325	9	and	and	CCONJ
ejpam-6065	325	10	the	the	DET
ejpam-6065	325	11	clique	clique	ADJ
ejpam-6065	325	12	domination	domination	NOUN
ejpam-6065	325	13	number	number	NOUN
ejpam-6065	325	14	relate	relate	VERB
ejpam-6065	325	15	to	to	ADP
ejpam-6065	325	16	one	one	NUM
ejpam-6065	325	17	another	another	DET
ejpam-6065	325	18	.	.	PUNCT
ejpam-6065	326	1	a	a	DET
ejpam-6065	326	2	significant	significant	ADJ
ejpam-6065	326	3	result	result	NOUN
ejpam-6065	326	4	in	in	ADP
ejpam-6065	326	5	our	our	PRON
ejpam-6065	326	6	study	study	NOUN
ejpam-6065	326	7	when	when	SCONJ
ejpam-6065	326	8	the	the	DET
ejpam-6065	326	9	forcing	force	VERB
ejpam-6065	326	10	clique	clique	NOUN
ejpam-6065	326	11	domination	domination	NOUN
ejpam-6065	326	12	number	number	NOUN
ejpam-6065	326	13	is	be	AUX
ejpam-6065	326	14	zero	zero	NUM
ejpam-6065	326	15	.	.	PUNCT
ejpam-6065	327	1	this	this	PRON
ejpam-6065	327	2	happens	happen	VERB
ejpam-6065	327	3	when	when	SCONJ
ejpam-6065	327	4	each	each	DET
ejpam-6065	327	5	minimum	minimum	ADJ
ejpam-6065	327	6	clique	clique	NOUN
ejpam-6065	327	7	dominating	dominating	NOUN
ejpam-6065	327	8	set	set	NOUN
ejpam-6065	327	9	is	be	AUX
ejpam-6065	327	10	uniquely	uniquely	ADV
ejpam-6065	327	11	determined	determine	VERB
ejpam-6065	327	12	.	.	PUNCT
ejpam-6065	328	1	these	these	DET
ejpam-6065	328	2	graphs	graph	NOUN
ejpam-6065	328	3	are	be	AUX
ejpam-6065	328	4	especially	especially	ADV
ejpam-6065	328	5	helpful	helpful	ADJ
ejpam-6065	328	6	in	in	ADP
ejpam-6065	328	7	applications	application	NOUN
ejpam-6065	328	8	requiring	require	VERB
ejpam-6065	328	9	stable	stable	ADJ
ejpam-6065	328	10	and	and	CCONJ
ejpam-6065	328	11	non	non	ADJ
ejpam-6065	328	12	-	-	ADJ
ejpam-6065	328	13	redundant	redundant	ADJ
ejpam-6065	328	14	control	control	NOUN
ejpam-6065	328	15	because	because	SCONJ
ejpam-6065	328	16	of	of	ADP
ejpam-6065	328	17	their	their	PRON
ejpam-6065	328	18	structural	structural	ADJ
ejpam-6065	328	19	rigidity	rigidity	NOUN
ejpam-6065	328	20	in	in	ADP
ejpam-6065	328	21	clique	clique	ADJ
ejpam-6065	328	22	domination	domination	NOUN
ejpam-6065	328	23	properties	property	NOUN
ejpam-6065	328	24	.	.	PUNCT
ejpam-6065	329	1	another	another	DET
ejpam-6065	329	2	important	important	ADJ
ejpam-6065	329	3	result	result	NOUN
ejpam-6065	329	4	is	be	AUX
ejpam-6065	329	5	when	when	SCONJ
ejpam-6065	329	6	the	the	DET
ejpam-6065	329	7	forcing	force	VERB
ejpam-6065	329	8	clique	clique	NOUN
ejpam-6065	329	9	domination	domination	NOUN
ejpam-6065	329	10	number	number	NOUN
ejpam-6065	329	11	is	be	AUX
ejpam-6065	329	12	equal	equal	ADJ
ejpam-6065	329	13	to	to	ADP
ejpam-6065	329	14	the	the	DET
ejpam-6065	329	15	clique	clique	ADJ
ejpam-6065	329	16	domination	domination	NOUN
ejpam-6065	329	17	number	number	NOUN
ejpam-6065	329	18	.	.	PUNCT
ejpam-6065	330	1	this	this	PRON
ejpam-6065	330	2	implies	imply	VERB
ejpam-6065	330	3	that	that	SCONJ
ejpam-6065	330	4	every	every	DET
ejpam-6065	330	5	vertex	vertex	NOUN
ejpam-6065	330	6	in	in	ADP
ejpam-6065	330	7	a	a	DET
ejpam-6065	330	8	minimum	minimum	ADJ
ejpam-6065	330	9	clique	clique	NOUN
ejpam-6065	330	10	dominating	dominating	NOUN
ejpam-6065	330	11	set	set	NOUN
ejpam-6065	330	12	can	can	AUX
ejpam-6065	330	13	be	be	AUX
ejpam-6065	330	14	replaced	replace	VERB
ejpam-6065	330	15	by	by	ADP
ejpam-6065	330	16	another	another	DET
ejpam-6065	330	17	vertex	vertex	NOUN
ejpam-6065	330	18	in	in	ADP
ejpam-6065	330	19	the	the	DET
ejpam-6065	330	20	graph	graph	NOUN
ejpam-6065	330	21	while	while	SCONJ
ejpam-6065	330	22	still	still	ADV
ejpam-6065	330	23	maintaining	maintain	VERB
ejpam-6065	330	24	the	the	DET
ejpam-6065	330	25	property	property	NOUN
ejpam-6065	330	26	of	of	ADP
ejpam-6065	330	27	clique	clique	ADJ
ejpam-6065	330	28	domination	domination	NOUN
ejpam-6065	330	29	.	.	PUNCT
ejpam-6065	331	1	this	this	DET
ejpam-6065	331	2	feature	feature	NOUN
ejpam-6065	331	3	is	be	AUX
ejpam-6065	331	4	important	important	ADJ
ejpam-6065	331	5	in	in	ADP
ejpam-6065	331	6	fault	fault	NOUN
ejpam-6065	331	7	-	-	PUNCT
ejpam-6065	331	8	tolerant	tolerant	ADJ
ejpam-6065	331	9	network	network	NOUN
ejpam-6065	331	10	topologies	topology	NOUN
ejpam-6065	331	11	since	since	SCONJ
ejpam-6065	331	12	it	it	PRON
ejpam-6065	331	13	will	will	AUX
ejpam-6065	331	14	allow	allow	VERB
ejpam-6065	331	15	other	other	ADJ
ejpam-6065	331	16	nodes	node	NOUN
ejpam-6065	331	17	to	to	PART
ejpam-6065	331	18	assume	assume	VERB
ejpam-6065	331	19	dominance	dominance	NOUN
ejpam-6065	331	20	responsibilities	responsibility	NOUN
ejpam-6065	331	21	without	without	ADP
ejpam-6065	331	22	affecting	affect	VERB
ejpam-6065	331	23	connection	connection	NOUN
ejpam-6065	331	24	or	or	CCONJ
ejpam-6065	331	25	coverage	coverage	NOUN
ejpam-6065	331	26	.	.	PUNCT
ejpam-6065	332	1	also	also	ADV
ejpam-6065	332	2	,	,	PUNCT
ejpam-6065	332	3	we	we	PRON
ejpam-6065	332	4	also	also	ADV
ejpam-6065	332	5	discovered	discover	VERB
ejpam-6065	332	6	graphs	graph	NOUN
ejpam-6065	332	7	for	for	ADP
ejpam-6065	332	8	which	which	PRON
ejpam-6065	332	9	the	the	DET
ejpam-6065	332	10	clique	clique	NOUN
ejpam-6065	332	11	domination	domination	NOUN
ejpam-6065	332	12	number	number	NOUN
ejpam-6065	332	13	is	be	AUX
ejpam-6065	332	14	undefined	undefined	ADJ
ejpam-6065	332	15	,	,	PUNCT
ejpam-6065	332	16	as	as	SCONJ
ejpam-6065	332	17	they	they	PRON
ejpam-6065	332	18	do	do	AUX
ejpam-6065	332	19	not	not	PART
ejpam-6065	332	20	have	have	VERB
ejpam-6065	332	21	a	a	DET
ejpam-6065	332	22	clique	clique	ADJ
ejpam-6065	332	23	dominating	dominating	NOUN
ejpam-6065	332	24	set	set	NOUN
ejpam-6065	332	25	,	,	PUNCT
ejpam-6065	332	26	making	make	VERB
ejpam-6065	332	27	the	the	DET
ejpam-6065	332	28	forcing	force	VERB
ejpam-6065	332	29	clique	clique	NOUN
ejpam-6065	332	30	domination	domination	NOUN
ejpam-6065	332	31	number	number	NOUN
ejpam-6065	332	32	itself	itself	PRON
ejpam-6065	332	33	undefined	undefined	ADJ
ejpam-6065	332	34	.	.	PUNCT
ejpam-6065	333	1	our	our	PRON
ejpam-6065	333	2	research	research	NOUN
ejpam-6065	333	3	sheds	shed	VERB
ejpam-6065	333	4	more	more	ADJ
ejpam-6065	333	5	light	light	NOUN
ejpam-6065	333	6	on	on	ADP
ejpam-6065	333	7	the	the	DET
ejpam-6065	333	8	characteristics	characteristic	NOUN
ejpam-6065	333	9	of	of	ADP
ejpam-6065	333	10	forcing	force	VERB
ejpam-6065	333	11	clique	clique	ADJ
ejpam-6065	333	12	domination	domination	NOUN
ejpam-6065	333	13	and	and	CCONJ
ejpam-6065	333	14	its	its	PRON
ejpam-6065	333	15	function	function	NOUN
ejpam-6065	333	16	in	in	ADP
ejpam-6065	333	17	graph	graph	NOUN
ejpam-6065	333	18	theory	theory	NOUN
ejpam-6065	333	19	.	.	PUNCT
ejpam-6065	334	1	future	future	ADJ
ejpam-6065	334	2	studies	study	NOUN
ejpam-6065	334	3	might	might	AUX
ejpam-6065	334	4	concentrate	concentrate	VERB
ejpam-6065	334	5	on	on	ADP
ejpam-6065	334	6	determining	determine	VERB
ejpam-6065	334	7	the	the	DET
ejpam-6065	334	8	forcing	force	VERB
ejpam-6065	334	9	clique	clique	NOUN
ejpam-6065	334	10	domination	domination	NOUN
ejpam-6065	334	11	number	number	NOUN
ejpam-6065	334	12	of	of	ADP
ejpam-6065	334	13	other	other	ADJ
ejpam-6065	334	14	binary	binary	ADJ
ejpam-6065	334	15	operations	operation	NOUN
ejpam-6065	334	16	not	not	PART
ejpam-6065	334	17	mentioned	mention	VERB
ejpam-6065	334	18	in	in	ADP
ejpam-6065	334	19	this	this	DET
ejpam-6065	334	20	study	study	NOUN
ejpam-6065	334	21	and	and	CCONJ
ejpam-6065	334	22	investigating	investigate	VERB
ejpam-6065	334	23	real	real	ADJ
ejpam-6065	334	24	-	-	PUNCT
ejpam-6065	334	25	world	world	NOUN
ejpam-6065	334	26	applications	application	NOUN
ejpam-6065	334	27	in	in	ADP
ejpam-6065	334	28	social	social	ADJ
ejpam-6065	334	29	influence	influence	NOUN
ejpam-6065	334	30	modeling	modeling	NOUN
ejpam-6065	334	31	,	,	PUNCT
ejpam-6065	334	32	biological	biological	ADJ
ejpam-6065	334	33	networks	network	NOUN
ejpam-6065	334	34	,	,	PUNCT
ejpam-6065	334	35	and	and	CCONJ
ejpam-6065	334	36	network	network	NOUN
ejpam-6065	334	37	security	security	NOUN
ejpam-6065	334	38	.	.	PUNCT
ejpam-6065	335	1	acknowledgements	acknowledgement	NOUN
ejpam-6065	335	2	the	the	DET
ejpam-6065	335	3	authors	author	NOUN
ejpam-6065	335	4	express	express	VERB
ejpam-6065	335	5	their	their	PRON
ejpam-6065	335	6	gratitude	gratitude	NOUN
ejpam-6065	335	7	to	to	ADP
ejpam-6065	335	8	the	the	DET
ejpam-6065	335	9	anonymous	anonymous	ADJ
ejpam-6065	335	10	referees	referee	NOUN
ejpam-6065	335	11	for	for	ADP
ejpam-6065	335	12	their	their	PRON
ejpam-6065	335	13	significant	significant	ADJ
ejpam-6065	335	14	remarks	remark	NOUN
ejpam-6065	335	15	and	and	CCONJ
ejpam-6065	335	16	recommendations	recommendation	NOUN
ejpam-6065	335	17	,	,	PUNCT
ejpam-6065	335	18	which	which	PRON
ejpam-6065	335	19	greatly	greatly	ADV
ejpam-6065	335	20	influenced	influence	VERB
ejpam-6065	335	21	the	the	DET
ejpam-6065	335	22	caliber	caliber	NOUN
ejpam-6065	335	23	of	of	ADP
ejpam-6065	335	24	this	this	DET
ejpam-6065	335	25	work	work	NOUN
ejpam-6065	335	26	.	.	PUNCT
ejpam-6065	336	1	the	the	DET
ejpam-6065	336	2	authors	author	NOUN
ejpam-6065	336	3	would	would	AUX
ejpam-6065	336	4	like	like	VERB
ejpam-6065	336	5	to	to	PART
ejpam-6065	336	6	thank	thank	VERB
ejpam-6065	336	7	cebu	cebu	NOUN
ejpam-6065	336	8	normal	normal	ADJ
ejpam-6065	336	9	university	university	NOUN
ejpam-6065	336	10	for	for	ADP
ejpam-6065	336	11	the	the	DET
ejpam-6065	336	12	support	support	NOUN
ejpam-6065	336	13	and	and	CCONJ
ejpam-6065	336	14	encouragement	encouragement	NOUN
ejpam-6065	336	15	extended	extend	VERB
ejpam-6065	336	16	throughout	throughout	ADP
ejpam-6065	336	17	the	the	DET
ejpam-6065	336	18	conduct	conduct	NOUN
ejpam-6065	336	19	of	of	ADP
ejpam-6065	336	20	this	this	DET
ejpam-6065	336	21	research	research	NOUN
ejpam-6065	336	22	.	.	PUNCT
ejpam-6065	337	1	we	we	PRON
ejpam-6065	337	2	acknowledge	acknowledge	VERB
ejpam-6065	337	3	ho	ho	PROPN
ejpam-6065	337	4	chi	chi	PROPN
ejpam-6065	337	5	minh	minh	PROPN
ejpam-6065	337	6	city	city	PROPN
ejpam-6065	337	7	university	university	PROPN
ejpam-6065	337	8	of	of	ADP
ejpam-6065	337	9	technology	technology	NOUN
ejpam-6065	337	10	(	(	PUNCT
ejpam-6065	337	11	hcmut	hcmut	NOUN
ejpam-6065	337	12	)	)	PUNCT
ejpam-6065	337	13	,	,	PUNCT
ejpam-6065	337	14	vnu	vnu	PROPN
ejpam-6065	337	15	-	-	PUNCT
ejpam-6065	337	16	hcm	hcm	PROPN
ejpam-6065	337	17	for	for	ADP
ejpam-6065	337	18	supporting	support	VERB
ejpam-6065	337	19	this	this	DET
ejpam-6065	337	20	study	study	NOUN
ejpam-6065	337	21	.	.	PUNCT
ejpam-6065	338	1	references	reference	NOUN
ejpam-6065	338	2	[	[	X
ejpam-6065	338	3	1	1	NUM
ejpam-6065	338	4	]	]	X
ejpam-6065	338	5	c.	c.	PROPN
ejpam-6065	338	6	armada	armada	PROPN
ejpam-6065	338	7	,	,	PUNCT
ejpam-6065	338	8	j.	j.	PROPN
ejpam-6065	338	9	hamja	hamja	PROPN
ejpam-6065	338	10	.	.	PUNCT
ejpam-6065	339	1	perfect	perfect	PROPN
ejpam-6065	339	2	isolate	isolate	NOUN
ejpam-6065	339	3	domination	domination	NOUN
ejpam-6065	339	4	in	in	ADP
ejpam-6065	339	5	graphs	graph	NOUN
ejpam-6065	339	6	.	.	PUNCT
ejpam-6065	340	1	european	european	ADJ
ejpam-6065	340	2	journal	journal	PROPN
ejpam-6065	340	3	of	of	ADP
ejpam-6065	340	4	pure	pure	ADJ
ejpam-6065	340	5	and	and	CCONJ
ejpam-6065	340	6	applied	applied	ADJ
ejpam-6065	340	7	mathematics	mathematic	NOUN
ejpam-6065	340	8	,	,	PUNCT
ejpam-6065	340	9	16(2):1326–1341	16(2):1326–1341	NUM
ejpam-6065	340	10	,	,	PUNCT
ejpam-6065	340	11	2023	2023	NUM
ejpam-6065	340	12	.	.	PUNCT
ejpam-6065	341	1	[	[	X
ejpam-6065	341	2	2	2	X
ejpam-6065	341	3	]	]	PUNCT
ejpam-6065	341	4	s.	s.	PROPN
ejpam-6065	341	5	canoy	canoy	PROPN
ejpam-6065	341	6	,	,	PUNCT
ejpam-6065	341	7	jr	jr	PROPN
ejpam-6065	341	8	.	.	PROPN
ejpam-6065	341	9	,	,	PUNCT
ejpam-6065	341	10	t.v	t.v	PROPN
ejpam-6065	341	11	.	.	PROPN
ejpam-6065	341	12	daniel	daniel	PROPN
ejpam-6065	341	13	.	.	PUNCT
ejpam-6065	342	1	clique	clique	PROPN
ejpam-6065	342	2	domination	domination	NOUN
ejpam-6065	342	3	in	in	ADP
ejpam-6065	342	4	a	a	DET
ejpam-6065	342	5	graph	graph	NOUN
ejpam-6065	342	6	.	.	PUNCT
ejpam-6065	343	1	applied	apply	VERB
ejpam-6065	343	2	mathematical	mathematical	ADJ
ejpam-6065	343	3	sciences	science	NOUN
ejpam-6065	343	4	,	,	PUNCT
ejpam-6065	343	5	9(116):5749–5755	9(116):5749–5755	NUM
ejpam-6065	343	6	,	,	PUNCT
ejpam-6065	343	7	2015	2015	NUM
ejpam-6065	343	8	.	.	PUNCT
ejpam-6065	344	1	[	[	X
ejpam-6065	344	2	3	3	NUM
ejpam-6065	344	3	]	]	X
ejpam-6065	344	4	m.b	m.b	PROPN
ejpam-6065	344	5	.	.	PROPN
ejpam-6065	344	6	cozzens	cozzens	PROPN
ejpam-6065	344	7	,	,	PUNCT
ejpam-6065	344	8	l.l	l.l	PROPN
ejpam-6065	344	9	.	.	PROPN
ejpam-6065	344	10	kelleher	kelleher	PROPN
ejpam-6065	344	11	.	.	PUNCT
ejpam-6065	345	1	dominating	dominate	VERB
ejpam-6065	345	2	cliques	clique	NOUN
ejpam-6065	345	3	in	in	ADP
ejpam-6065	345	4	graphs	graph	NOUN
ejpam-6065	345	5	.	.	PUNCT
ejpam-6065	346	1	discrete	discrete	ADJ
ejpam-6065	346	2	mathematics	mathematic	NOUN
ejpam-6065	346	3	,	,	PUNCT
ejpam-6065	346	4	86(1	86(1	PROPN
ejpam-6065	346	5	-	-	PUNCT
ejpam-6065	346	6	3):101–116	3):101–116	NUM
ejpam-6065	346	7	,	,	PUNCT
ejpam-6065	346	8	1990	1990	NUM
ejpam-6065	346	9	.	.	PUNCT
ejpam-6065	347	1	[	[	X
ejpam-6065	347	2	4	4	X
ejpam-6065	347	3	]	]	X
ejpam-6065	347	4	g.	g.	PROPN
ejpam-6065	347	5	chartrand	chartrand	PROPN
ejpam-6065	347	6	,	,	PUNCT
ejpam-6065	347	7	h.	h.	PROPN
ejpam-6065	347	8	gavlas	gavlas	PROPN
ejpam-6065	347	9	,	,	PUNCT
ejpam-6065	347	10	k.c	k.c	PROPN
ejpam-6065	347	11	.	.	PROPN
ejpam-6065	347	12	vandell	vandell	PROPN
ejpam-6065	347	13	,	,	PUNCT
ejpam-6065	347	14	f.	f.	PROPN
ejpam-6065	347	15	harary	harary	PROPN
ejpam-6065	347	16	.	.	PUNCT
ejpam-6065	348	1	the	the	DET
ejpam-6065	348	2	forcing	force	VERB
ejpam-6065	348	3	domination	domination	NOUN
ejpam-6065	348	4	number	number	NOUN
ejpam-6065	348	5	of	of	ADP
ejpam-6065	348	6	a	a	DET
ejpam-6065	348	7	graph	graph	NOUN
ejpam-6065	348	8	.	.	PUNCT
ejpam-6065	349	1	j.combin	j.combin	NOUN
ejpam-6065	349	2	.	.	PUNCT
ejpam-6065	350	1	math	math	NOUN
ejpam-6065	350	2	.	.	PUNCT
ejpam-6065	351	1	combin	combin	NOUN
ejpam-6065	351	2	.	.	PUNCT
ejpam-6065	352	1	comput	comput	NOUN
ejpam-6065	352	2	.	.	PUNCT
ejpam-6065	352	3	,	,	PUNCT
ejpam-6065	352	4	25:167–174	25:167–174	PROPN
ejpam-6065	352	5	,	,	PUNCT
ejpam-6065	352	6	1997	1997	NUM
ejpam-6065	352	7	.	.	PUNCT
ejpam-6065	353	1	c.	c.	PROPN
ejpam-6065	353	2	l.	l.	PROPN
ejpam-6065	353	3	armada	armada	PROPN
ejpam-6065	353	4	et	et	PROPN
ejpam-6065	353	5	al	al	PROPN
ejpam-6065	353	6	.	.	PUNCT
ejpam-6065	353	7	/	/	SYM
ejpam-6065	353	8	eur	eur	PROPN
ejpam-6065	353	9	.	.	PUNCT
ejpam-6065	354	1	j.	j.	PROPN
ejpam-6065	354	2	pure	pure	PROPN
ejpam-6065	354	3	appl	appl	PROPN
ejpam-6065	354	4	.	.	PROPN
ejpam-6065	354	5	math	math	PROPN
ejpam-6065	354	6	,	,	PUNCT
ejpam-6065	354	7	18	18	NUM
ejpam-6065	354	8	(	(	PUNCT
ejpam-6065	354	9	2	2	NUM
ejpam-6065	354	10	)	)	PUNCT
ejpam-6065	354	11	(	(	PUNCT
ejpam-6065	354	12	2025	2025	NUM
ejpam-6065	354	13	)	)	PUNCT
ejpam-6065	354	14	,	,	PUNCT
ejpam-6065	354	15	6065	6065	NUM
ejpam-6065	354	16	14	14	NUM
ejpam-6065	354	17	of	of	ADP
ejpam-6065	354	18	14	14	NUM
ejpam-6065	354	19	[	[	SYM
ejpam-6065	354	20	5	5	NUM
ejpam-6065	354	21	]	]	PUNCT
ejpam-6065	354	22	s.	s.	PROPN
ejpam-6065	354	23	canoy	canoy	PROPN
ejpam-6065	354	24	,	,	PUNCT
ejpam-6065	354	25	jr	jr	PROPN
ejpam-6065	354	26	.	.	PROPN
ejpam-6065	354	27	,	,	PUNCT
ejpam-6065	354	28	c.	c.	PROPN
ejpam-6065	354	29	armada	armada	PROPN
ejpam-6065	354	30	,	,	PUNCT
ejpam-6065	354	31	c.	c.	PROPN
ejpam-6065	354	32	go	go	VERB
ejpam-6065	354	33	.	.	PUNCT
ejpam-6065	355	1	forcing	force	VERB
ejpam-6065	355	2	domination	domination	NOUN
ejpam-6065	355	3	numbers	number	NOUN
ejpam-6065	355	4	of	of	ADP
ejpam-6065	355	5	graphs	graph	NOUN
ejpam-6065	355	6	under	under	ADP
ejpam-6065	355	7	some	some	DET
ejpam-6065	355	8	binary	binary	ADJ
ejpam-6065	355	9	operations	operation	NOUN
ejpam-6065	355	10	.	.	PUNCT
ejpam-6065	356	1	advances	advance	NOUN
ejpam-6065	356	2	and	and	CCONJ
ejpam-6065	356	3	applications	application	NOUN
ejpam-6065	356	4	in	in	ADP
ejpam-6065	356	5	discrete	discrete	ADJ
ejpam-6065	356	6	mathematics	mathematic	NOUN
ejpam-6065	356	7	,	,	PUNCT
ejpam-6065	356	8	19(3):213	19(3):213	NOUN
ejpam-6065	356	9	–	–	PUNCT
ejpam-6065	356	10	228	228	NUM
ejpam-6065	356	11	,	,	PUNCT
ejpam-6065	356	12	2018	2018	NUM
ejpam-6065	356	13	.	.	PUNCT
ejpam-6065	357	1	[	[	X
ejpam-6065	357	2	6	6	NUM
ejpam-6065	357	3	]	]	PUNCT
ejpam-6065	357	4	s.	s.	PROPN
ejpam-6065	357	5	canoy	canoy	PROPN
ejpam-6065	357	6	,	,	PUNCT
ejpam-6065	357	7	jr	jr	PROPN
ejpam-6065	357	8	.	.	PROPN
ejpam-6065	357	9	,	,	PUNCT
ejpam-6065	357	10	c.	c.	PROPN
ejpam-6065	357	11	armada	armada	PROPN
ejpam-6065	357	12	,	,	PUNCT
ejpam-6065	357	13	c.	c.	PROPN
ejpam-6065	357	14	go	go	VERB
ejpam-6065	357	15	.	.	PUNCT
ejpam-6065	358	1	forcing	force	VERB
ejpam-6065	358	2	subsets	subset	NOUN
ejpam-6065	358	3	for	for	ADP
ejpam-6065	358	4	γc	γc	NOUN
ejpam-6065	358	5	-	-	PUNCT
ejpam-6065	358	6	sets	set	NOUN
ejpam-6065	358	7	and	and	CCONJ
ejpam-6065	358	8	γt	γt	NOUN
ejpam-6065	358	9	-	-	NOUN
ejpam-6065	358	10	sets	set	NOUN
ejpam-6065	358	11	in	in	ADP
ejpam-6065	358	12	the	the	DET
ejpam-6065	358	13	lexicographic	lexicographic	ADJ
ejpam-6065	358	14	product	product	NOUN
ejpam-6065	358	15	of	of	ADP
ejpam-6065	358	16	graphs	graph	NOUN
ejpam-6065	358	17	.	.	PUNCT
ejpam-6065	359	1	european	european	ADJ
ejpam-6065	359	2	journal	journal	PROPN
ejpam-6065	359	3	of	of	ADP
ejpam-6065	359	4	pure	pure	ADJ
ejpam-6065	359	5	and	and	CCONJ
ejpam-6065	359	6	applied	applied	ADJ
ejpam-6065	359	7	mathematics	mathematic	NOUN
ejpam-6065	359	8	,	,	PUNCT
ejpam-6065	359	9	12(4):1779–1786	12(4):1779–1786	NUM
ejpam-6065	359	10	,	,	PUNCT
ejpam-6065	359	11	2019	2019	NUM
ejpam-6065	359	12	.	.	PUNCT
ejpam-6065	360	1	[	[	X
ejpam-6065	360	2	7	7	X
ejpam-6065	360	3	]	]	X
ejpam-6065	360	4	s.	s.	PROPN
ejpam-6065	360	5	canoy	canoy	PROPN
ejpam-6065	360	6	,	,	PUNCT
ejpam-6065	360	7	jr	jr	PROPN
ejpam-6065	360	8	.	.	PROPN
ejpam-6065	360	9	,	,	PUNCT
ejpam-6065	360	10	c.	c.	PROPN
ejpam-6065	360	11	armada	armada	PROPN
ejpam-6065	360	12	.	.	PUNCT
ejpam-6065	361	1	forcing	force	VERB
ejpam-6065	361	2	independent	independent	ADJ
ejpam-6065	361	3	domination	domination	NOUN
ejpam-6065	361	4	number	number	NOUN
ejpam-6065	361	5	of	of	ADP
ejpam-6065	361	6	a	a	DET
ejpam-6065	361	7	graph	graph	NOUN
ejpam-6065	361	8	.	.	PUNCT
ejpam-6065	362	1	european	european	ADJ
ejpam-6065	362	2	journal	journal	PROPN
ejpam-6065	362	3	of	of	ADP
ejpam-6065	362	4	pure	pure	ADJ
ejpam-6065	362	5	and	and	CCONJ
ejpam-6065	362	6	applied	applied	ADJ
ejpam-6065	362	7	mathematics	mathematic	NOUN
ejpam-6065	362	8	,	,	PUNCT
ejpam-6065	362	9	12(4):1371–1381	12(4):1371–1381	NUM
ejpam-6065	362	10	,	,	PUNCT
ejpam-6065	362	11	2019	2019	NUM
ejpam-6065	362	12	.	.	PUNCT
ejpam-6065	363	1	[	[	X
ejpam-6065	363	2	8	8	NUM
ejpam-6065	363	3	]	]	X
ejpam-6065	363	4	c.	c.	PROPN
ejpam-6065	363	5	armada	armada	PROPN
ejpam-6065	363	6	.	.	PUNCT
ejpam-6065	364	1	forcing	force	VERB
ejpam-6065	364	2	total	total	ADJ
ejpam-6065	364	3	dr	dr	PROPN
ejpam-6065	364	4	-	-	PUNCT
ejpam-6065	364	5	power	power	NOUN
ejpam-6065	364	6	domination	domination	NOUN
ejpam-6065	364	7	number	number	NOUN
ejpam-6065	364	8	of	of	ADP
ejpam-6065	364	9	graphs	graph	NOUN
ejpam-6065	364	10	under	under	ADP
ejpam-6065	364	11	some	some	DET
ejpam-6065	364	12	binary	binary	ADJ
ejpam-6065	364	13	operations	operation	NOUN
ejpam-6065	364	14	.	.	PUNCT
ejpam-6065	365	1	european	european	ADJ
ejpam-6065	365	2	journal	journal	PROPN
ejpam-6065	365	3	of	of	ADP
ejpam-6065	365	4	pure	pure	ADJ
ejpam-6065	365	5	and	and	CCONJ
ejpam-6065	365	6	applied	applied	ADJ
ejpam-6065	365	7	mathematics	mathematic	NOUN
ejpam-6065	365	8	,	,	PUNCT
ejpam-6065	365	9	14(3):1098–1107	14(3):1098–1107	NUM
ejpam-6065	365	10	,	,	PUNCT
ejpam-6065	365	11	2021	2021	NUM
ejpam-6065	365	12	.	.	PUNCT
ejpam-6065	366	1	[	[	X
ejpam-6065	366	2	9	9	NUM
ejpam-6065	366	3	]	]	X
ejpam-6065	366	4	c.	c.	PROPN
ejpam-6065	366	5	armada	armada	PROPN
ejpam-6065	366	6	.	.	PUNCT
ejpam-6065	367	1	forcing	force	VERB
ejpam-6065	367	2	subsets	subset	NOUN
ejpam-6065	367	3	for	for	ADP
ejpam-6065	367	4	γ∗tpw	γ∗tpw	NOUN
ejpam-6065	367	5	-	-	PUNCT
ejpam-6065	367	6	sets	set	NOUN
ejpam-6065	367	7	in	in	ADP
ejpam-6065	367	8	graphs	graph	NOUN
ejpam-6065	367	9	.	.	PUNCT
ejpam-6065	368	1	european	european	ADJ
ejpam-6065	368	2	journal	journal	PROPN
ejpam-6065	368	3	of	of	ADP
ejpam-6065	368	4	pure	pure	ADJ
ejpam-6065	368	5	and	and	CCONJ
ejpam-6065	368	6	applied	applied	ADJ
ejpam-6065	368	7	mathematics	mathematic	NOUN
ejpam-6065	368	8	,	,	PUNCT
ejpam-6065	368	9	14(2):451–470	14(2):451–470	PROPN
ejpam-6065	368	10	,	,	PUNCT
ejpam-6065	368	11	2021	2021	NUM
ejpam-6065	368	12	.	.	PUNCT
ejpam-6065	369	1	[	[	X
ejpam-6065	369	2	10	10	NUM
ejpam-6065	369	3	]	]	X
ejpam-6065	369	4	f.	f.	PROPN
ejpam-6065	369	5	harary	harary	PROPN
ejpam-6065	369	6	.	.	PUNCT
ejpam-6065	370	1	graph	graph	NOUN
ejpam-6065	370	2	theory	theory	NOUN
ejpam-6065	370	3	.	.	PUNCT
ejpam-6065	371	1	addison	addison	PROPN
ejpam-6065	371	2	-	-	PUNCT
ejpam-6065	371	3	wesley	wesley	PROPN
ejpam-6065	371	4	publication	publication	PROPN
ejpam-6065	371	5	company	company	PROPN
ejpam-6065	371	6	,	,	PUNCT
ejpam-6065	371	7	inc	inc	PROPN
ejpam-6065	371	8	.	.	PROPN
ejpam-6065	371	9	,	,	PUNCT
ejpam-6065	371	10	massachusetts	massachusetts	PROPN
ejpam-6065	371	11	,	,	PUNCT
ejpam-6065	371	12	1969	1969	NUM
ejpam-6065	371	13	.	.	PUNCT
ejpam-6065	372	1	[	[	X
ejpam-6065	372	2	11	11	NUM
ejpam-6065	372	3	]	]	X
ejpam-6065	372	4	t.w	t.w	PROPN
ejpam-6065	372	5	.	.	PROPN
ejpam-6065	372	6	haynes	haynes	PROPN
ejpam-6065	372	7	,	,	PUNCT
ejpam-6065	372	8	s.t	s.t	PROPN
ejpam-6065	372	9	.	.	PROPN
ejpam-6065	372	10	hedetniemi	hedetniemi	PROPN
ejpam-6065	372	11	,	,	PUNCT
ejpam-6065	372	12	p.j	p.j	PROPN
ejpam-6065	372	13	.	.	PROPN
ejpam-6065	372	14	slater	slater	PROPN
ejpam-6065	372	15	.	.	PUNCT
ejpam-6065	373	1	fundamentals	fundamental	NOUN
ejpam-6065	373	2	of	of	ADP
ejpam-6065	373	3	domination	domination	NOUN
ejpam-6065	373	4	in	in	ADP
ejpam-6065	373	5	graphs	graph	NOUN
ejpam-6065	373	6	.	.	PUNCT
ejpam-6065	374	1	crc	crc	PROPN
ejpam-6065	374	2	press	press	PROPN
ejpam-6065	374	3	,	,	PUNCT
ejpam-6065	374	4	1998	1998	NUM
ejpam-6065	374	5	.	.	PUNCT
ejpam-6065	375	1	[	[	X
ejpam-6065	375	2	12	12	NUM
ejpam-6065	375	3	]	]	X
ejpam-6065	375	4	m.a	m.a	PROPN
ejpam-6065	375	5	.	.	PROPN
ejpam-6065	375	6	henning	henning	PROPN
ejpam-6065	375	7	,	,	PUNCT
ejpam-6065	375	8	a.	a.	PROPN
ejpam-6065	375	9	yeo	yeo	PROPN
ejpam-6065	375	10	.	.	PROPN
ejpam-6065	376	1	total	total	ADJ
ejpam-6065	376	2	domination	domination	NOUN
ejpam-6065	376	3	in	in	ADP
ejpam-6065	376	4	graphs	graph	NOUN
ejpam-6065	376	5	.	.	PUNCT
ejpam-6065	377	1	springer	springer	NOUN
ejpam-6065	377	2	,	,	PUNCT
ejpam-6065	377	3	2013	2013	NUM
ejpam-6065	377	4	.	.	PUNCT
ejpam-6065	378	1	[	[	X
ejpam-6065	378	2	13	13	NUM
ejpam-6065	378	3	]	]	X
ejpam-6065	378	4	b.d	b.d	PROPN
ejpam-6065	378	5	.	.	PROPN
ejpam-6065	378	6	acharya	acharya	PROPN
ejpam-6065	378	7	,	,	PUNCT
ejpam-6065	378	8	s.	s.	PROPN
ejpam-6065	378	9	mukherjee	mukherjee	PROPN
ejpam-6065	378	10	.	.	PUNCT
ejpam-6065	379	1	on	on	ADP
ejpam-6065	379	2	clique	clique	ADJ
ejpam-6065	379	3	domination	domination	NOUN
ejpam-6065	379	4	in	in	ADP
ejpam-6065	379	5	graphs	graph	NOUN
ejpam-6065	379	6	.	.	PUNCT
ejpam-6065	380	1	international	international	ADJ
ejpam-6065	380	2	journal	journal	NOUN
ejpam-6065	380	3	of	of	ADP
ejpam-6065	380	4	mathematics	mathematics	PROPN
ejpam-6065	380	5	and	and	CCONJ
ejpam-6065	380	6	mathematical	mathematical	ADJ
ejpam-6065	380	7	sciences	science	NOUN
ejpam-6065	380	8	,	,	PUNCT
ejpam-6065	380	9	pages	page	NOUN
ejpam-6065	380	10	1–8	1–8	NUM
ejpam-6065	380	11	,	,	PUNCT
ejpam-6065	380	12	2008	2008	NUM
ejpam-6065	380	13	.	.	PUNCT
ejpam-6065	381	1	[	[	X
ejpam-6065	381	2	14	14	NUM
ejpam-6065	381	3	]	]	X
ejpam-6065	381	4	m.a	m.a	PROPN
ejpam-6065	381	5	.	.	PROPN
ejpam-6065	381	6	henning	henning	PROPN
ejpam-6065	381	7	,	,	PUNCT
ejpam-6065	381	8	j.	j.	PROPN
ejpam-6065	381	9	lyle	lyle	PROPN
ejpam-6065	381	10	.	.	PUNCT
ejpam-6065	382	1	a	a	DET
ejpam-6065	382	2	survey	survey	NOUN
ejpam-6065	382	3	of	of	ADP
ejpam-6065	382	4	selected	select	VERB
ejpam-6065	382	5	recent	recent	ADJ
ejpam-6065	382	6	results	result	NOUN
ejpam-6065	382	7	on	on	ADP
ejpam-6065	382	8	total	total	ADJ
ejpam-6065	382	9	domination	domination	NOUN
ejpam-6065	382	10	in	in	ADP
ejpam-6065	382	11	graphs	graph	NOUN
ejpam-6065	382	12	.	.	PUNCT
ejpam-6065	383	1	discrete	discrete	ADJ
ejpam-6065	383	2	mathematics	mathematic	NOUN
ejpam-6065	383	3	,	,	PUNCT
ejpam-6065	383	4	309(1):32–63	309(1):32–63	NUM
ejpam-6065	383	5	,	,	PUNCT
ejpam-6065	383	6	2013	2013	NUM
ejpam-6065	383	7	.	.	PUNCT
ejpam-6065	384	1	[	[	X
ejpam-6065	384	2	15	15	X
ejpam-6065	384	3	]	]	X
ejpam-6065	384	4	t.w	t.w	PROPN
ejpam-6065	384	5	.	.	PROPN
ejpam-6065	384	6	haynes	haynes	PROPN
ejpam-6065	384	7	,	,	PUNCT
ejpam-6065	384	8	s.t	s.t	PROPN
ejpam-6065	384	9	.	.	PROPN
ejpam-6065	384	10	hedetniemi	hedetniemi	PROPN
ejpam-6065	384	11	,	,	PUNCT
ejpam-6065	384	12	m.a	m.a	PROPN
ejpam-6065	384	13	.	.	PROPN
ejpam-6065	384	14	henning	henning	PROPN
ejpam-6065	384	15	.	.	PUNCT
ejpam-6065	385	1	domination	domination	NOUN
ejpam-6065	385	2	in	in	ADP
ejpam-6065	385	3	graphs	graph	NOUN
ejpam-6065	385	4	:	:	PUNCT
ejpam-6065	385	5	core	core	NOUN
ejpam-6065	385	6	concepts	concept	NOUN
ejpam-6065	385	7	.	.	PUNCT
ejpam-6065	385	8	springer	springer	PROPN
ejpam-6065	385	9	,	,	PUNCT
ejpam-6065	385	10	cham	cham	PROPN
ejpam-6065	385	11	,	,	PUNCT
ejpam-6065	385	12	2023	2023	NUM
ejpam-6065	385	13	.	.	PUNCT
ejpam-6065	386	1	[	[	X
ejpam-6065	386	2	16	16	NUM
ejpam-6065	386	3	]	]	X
ejpam-6065	386	4	m.	m.	PROPN
ejpam-6065	386	5	krzywkowski	krzywkowski	PROPN
ejpam-6065	386	6	.	.	PUNCT
ejpam-6065	387	1	non	non	ADJ
ejpam-6065	387	2	-	-	ADJ
ejpam-6065	387	3	isolating	isolating	ADJ
ejpam-6065	387	4	bondage	bondage	NOUN
ejpam-6065	387	5	in	in	ADP
ejpam-6065	387	6	graphs	graph	NOUN
ejpam-6065	387	7	.	.	PUNCT
ejpam-6065	388	1	the	the	DET
ejpam-6065	388	2	bulletin	bulletin	NOUN
ejpam-6065	388	3	of	of	ADP
ejpam-6065	388	4	the	the	DET
ejpam-6065	388	5	malaysian	malaysian	PROPN
ejpam-6065	388	6	mathematical	mathematical	PROPN
ejpam-6065	388	7	society	society	NOUN
ejpam-6065	388	8	series	series	PROPN
ejpam-6065	388	9	2	2	NUM
ejpam-6065	388	10	,	,	PUNCT
ejpam-6065	388	11	39	39	NUM
ejpam-6065	388	12	:	:	PUNCT
ejpam-6065	388	13	s219	s219	NUM
ejpam-6065	388	14	–	–	PUNCT
ejpam-6065	388	15	s227	s227	PROPN
ejpam-6065	388	16	,	,	PUNCT
ejpam-6065	388	17	2016	2016	NUM
ejpam-6065	388	18	.	.	PUNCT