id	sid	tid	token	lemma	pos
cana-3881	1	1	communications	communication	NOUN
cana-3881	1	2	on	on	ADP
cana-3881	1	3	applied	apply	VERB
cana-3881	1	4	nonlinear	nonlinear	ADJ
cana-3881	1	5	analysis	analysis	NOUN
cana-3881	1	6	issn	issn	NOUN
cana-3881	1	7	:	:	PUNCT
cana-3881	1	8	1074	1074	NUM
cana-3881	1	9	-	-	PUNCT
cana-3881	1	10	133x	133x	NUM
cana-3881	1	11	vol	vol	NOUN
cana-3881	1	12	32	32	NUM
cana-3881	1	13	no	no	NOUN
cana-3881	1	14	.	.	PUNCT
cana-3881	2	1	8s	8s	PROPN
cana-3881	2	2	(	(	PUNCT
cana-3881	2	3	2025	2025	NUM
cana-3881	2	4	)	)	PUNCT
cana-3881	2	5	888	888	NUM
cana-3881	2	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3881	2	7	degree	degree	NOUN
cana-3881	2	8	associated	associate	VERB
cana-3881	2	9	reconstruction	reconstruction	NOUN
cana-3881	2	10	number	number	NOUN
cana-3881	2	11	of	of	ADP
cana-3881	2	12	split	split	ADJ
cana-3881	2	13	graphs	graph	NOUN
cana-3881	2	14	with	with	ADP
cana-3881	2	15	some	some	DET
cana-3881	2	16	biregular	biregular	ADJ
cana-3881	2	17	independent	independent	ADJ
cana-3881	2	18	set	set	NOUN
cana-3881	2	19	a.	a.	PROPN
cana-3881	2	20	anu	anu	PROPN
cana-3881	2	21	assistant	assistant	PROPN
cana-3881	2	22	professor	professor	PROPN
cana-3881	2	23	department	department	PROPN
cana-3881	2	24	of	of	ADP
cana-3881	2	25	mathematics	mathematics	PROPN
cana-3881	2	26	vivekananda	vivekananda	PROPN
cana-3881	2	27	college	college	PROPN
cana-3881	2	28	,	,	PUNCT
cana-3881	2	29	agasteeswaram	agasteeswaram	NOUN
cana-3881	2	30	kanyakumari	kanyakumari	PROPN
cana-3881	2	31	,	,	PUNCT
cana-3881	2	32	tamil	tamil	PROPN
cana-3881	2	33	nadu	nadu	PROPN
cana-3881	2	34	,	,	PUNCT
cana-3881	2	35	india	india	PROPN
cana-3881	2	36	esa.anu1188@gmail.com	esa.anu1188@gmail.com	PROPN
cana-3881	2	37	article	article	NOUN
cana-3881	2	38	history	history	NOUN
cana-3881	2	39	:	:	PUNCT
cana-3881	2	40	received	receive	VERB
cana-3881	2	41	:	:	PUNCT
cana-3881	2	42	08	08	NUM
cana-3881	2	43	-	-	SYM
cana-3881	2	44	11	11	NUM
cana-3881	2	45	-	-	PUNCT
cana-3881	2	46	2024	2024	NUM
cana-3881	2	47	revised:23	revised:23	ADJ
cana-3881	2	48	-	-	PUNCT
cana-3881	2	49	12	12	NUM
cana-3881	2	50	-	-	PUNCT
cana-3881	2	51	2024	2024	NUM
cana-3881	2	52	accepted:06	accepted:06	PROPN
cana-3881	2	53	-	-	PUNCT
cana-3881	2	54	01	01	NUM
cana-3881	2	55	-	-	PUNCT
cana-3881	2	56	2025	2025	NUM
cana-3881	2	57	abstract	abstract	NOUN
cana-3881	2	58	:	:	PUNCT
cana-3881	2	59	a	a	DET
cana-3881	2	60	vertex	vertex	NOUN
cana-3881	2	61	-	-	PUNCT
cana-3881	2	62	deleted	delete	VERB
cana-3881	2	63	subgraph	subgraph	NOUN
cana-3881	2	64	of	of	ADP
cana-3881	2	65	a	a	DET
cana-3881	2	66	graph	graph	NOUN
cana-3881	2	67	g	g	NOUN
cana-3881	2	68	with	with	ADP
cana-3881	2	69	which	which	PRON
cana-3881	2	70	the	the	DET
cana-3881	2	71	degree	degree	NOUN
cana-3881	2	72	of	of	ADP
cana-3881	2	73	the	the	DET
cana-3881	2	74	deleted	delete	VERB
cana-3881	2	75	vertex	vertex	NOUN
cana-3881	2	76	is	be	AUX
cana-3881	2	77	given	give	VERB
cana-3881	2	78	is	be	AUX
cana-3881	2	79	called	call	VERB
cana-3881	2	80	a	a	DET
cana-3881	2	81	degree	degree	NOUN
cana-3881	2	82	associated	associate	VERB
cana-3881	2	83	card	card	NOUN
cana-3881	2	84	of	of	ADP
cana-3881	2	85	g.	g.	PROPN
cana-3881	2	86	the	the	DET
cana-3881	2	87	degree	degree	NOUN
cana-3881	2	88	associated	associate	VERB
cana-3881	2	89	reconstruction	reconstruction	NOUN
cana-3881	2	90	number	number	NOUN
cana-3881	2	91	(	(	PUNCT
cana-3881	2	92	or	or	CCONJ
cana-3881	2	93	drn	drn	ADJ
cana-3881	2	94	)	)	PUNCT
cana-3881	2	95	of	of	ADP
cana-3881	2	96	a	a	DET
cana-3881	2	97	graph	graph	NOUN
cana-3881	2	98	g	g	NOUN
cana-3881	2	99	is	be	AUX
cana-3881	2	100	the	the	DET
cana-3881	2	101	size	size	NOUN
cana-3881	2	102	of	of	ADP
cana-3881	2	103	the	the	DET
cana-3881	2	104	smallest	small	ADJ
cana-3881	2	105	collection	collection	NOUN
cana-3881	2	106	of	of	ADP
cana-3881	2	107	the	the	DET
cana-3881	2	108	degree	degree	NOUN
cana-3881	2	109	associated	associate	VERB
cana-3881	2	110	cards	card	NOUN
cana-3881	2	111	of	of	ADP
cana-3881	2	112	g	g	NOUN
cana-3881	2	113	that	that	PRON
cana-3881	2	114	uniquely	uniquely	ADV
cana-3881	2	115	determines	determine	VERB
cana-3881	2	116	g.	g.	PROPN
cana-3881	2	117	a	a	DET
cana-3881	2	118	split	split	ADJ
cana-3881	2	119	graph	graph	NOUN
cana-3881	2	120	g	g	NOUN
cana-3881	2	121	is	be	AUX
cana-3881	2	122	a	a	DET
cana-3881	2	123	graph	graph	NOUN
cana-3881	2	124	in	in	ADP
cana-3881	2	125	which	which	PRON
cana-3881	2	126	the	the	DET
cana-3881	2	127	vertices	vertex	NOUN
cana-3881	2	128	can	can	AUX
cana-3881	2	129	be	be	AUX
cana-3881	2	130	partitioned	partition	VERB
cana-3881	2	131	into	into	ADP
cana-3881	2	132	an	an	DET
cana-3881	2	133	independent	independent	ADJ
cana-3881	2	134	set	set	NOUN
cana-3881	2	135	and	and	CCONJ
cana-3881	2	136	a	a	DET
cana-3881	2	137	clique	clique	NOUN
cana-3881	2	138	.	.	PUNCT
cana-3881	3	1	we	we	PRON
cana-3881	3	2	prove	prove	VERB
cana-3881	3	3	that	that	SCONJ
cana-3881	3	4	the	the	DET
cana-3881	3	5	drn	drn	NOUN
cana-3881	3	6	is	be	AUX
cana-3881	3	7	1	1	NUM
cana-3881	3	8	or	or	CCONJ
cana-3881	3	9	2	2	NUM
cana-3881	3	10	for	for	ADP
cana-3881	3	11	all	all	DET
cana-3881	3	12	split	split	ADJ
cana-3881	3	13	graphs	graph	NOUN
cana-3881	3	14	g	g	ADP
cana-3881	3	15	of	of	ADP
cana-3881	3	16	order	order	NOUN
cana-3881	3	17	at	at	ADV
cana-3881	3	18	least	least	ADV
cana-3881	3	19	seven	seven	NUM
cana-3881	3	20	in	in	ADP
cana-3881	3	21	which	which	PRON
cana-3881	3	22	all	all	DET
cana-3881	3	23	the	the	DET
cana-3881	3	24	vertices	vertex	NOUN
cana-3881	3	25	in	in	ADP
cana-3881	3	26	the	the	DET
cana-3881	3	27	independent	independent	ADJ
cana-3881	3	28	set	set	NOUN
cana-3881	3	29	have	have	VERB
cana-3881	3	30	degrees	degree	NOUN
cana-3881	3	31	r	r	NOUN
cana-3881	3	32	and	and	CCONJ
cana-3881	3	33	s	s	VERB
cana-3881	3	34	whose	whose	DET
cana-3881	3	35	distinct	distinct	ADJ
cana-3881	3	36	degrees	degree	NOUN
cana-3881	3	37	differ	differ	VERB
cana-3881	3	38	by	by	ADP
cana-3881	3	39	at	at	ADV
cana-3881	3	40	least	least	ADV
cana-3881	3	41	two	two	NUM
cana-3881	3	42	.	.	PUNCT
cana-3881	4	1	keywords	keyword	NOUN
cana-3881	4	2	:	:	PUNCT
cana-3881	5	1	isomorphism	isomorphism	NOUN
cana-3881	5	2	,	,	PUNCT
cana-3881	5	3	reconstruction	reconstruction	NOUN
cana-3881	5	4	,	,	PUNCT
cana-3881	5	5	reconstruction	reconstruction	NOUN
cana-3881	5	6	number	number	NOUN
cana-3881	5	7	,	,	PUNCT
cana-3881	5	8	split	split	ADJ
cana-3881	5	9	graph	graph	NOUN
cana-3881	5	10	.	.	PUNCT
cana-3881	6	1	1	1	NUM
cana-3881	6	2	introduction	introduction	NOUN
cana-3881	6	3	all	all	DET
cana-3881	6	4	graphs	graph	NOUN
cana-3881	6	5	considered	consider	VERB
cana-3881	6	6	in	in	ADP
cana-3881	6	7	this	this	DET
cana-3881	6	8	paper	paper	NOUN
cana-3881	6	9	are	be	AUX
cana-3881	6	10	finite	finite	ADJ
cana-3881	6	11	,	,	PUNCT
cana-3881	6	12	simple	simple	ADJ
cana-3881	6	13	and	and	CCONJ
cana-3881	6	14	undirected	undirected	ADJ
cana-3881	6	15	.	.	PUNCT
cana-3881	7	1	we	we	PRON
cana-3881	7	2	shall	shall	AUX
cana-3881	7	3	mostly	mostly	ADV
cana-3881	7	4	follow	follow	VERB
cana-3881	7	5	the	the	DET
cana-3881	7	6	graph	graph	NOUN
cana-3881	7	7	theoretic	theoretic	ADJ
cana-3881	7	8	terminology	terminology	NOUN
cana-3881	7	9	of	of	ADP
cana-3881	7	10	[	[	X
cana-3881	7	11	8	8	NUM
cana-3881	7	12	]	]	PUNCT
cana-3881	7	13	.	.	PUNCT
cana-3881	8	1	a	a	DET
cana-3881	8	2	vertex	vertex	NOUN
cana-3881	8	3	-	-	PUNCT
cana-3881	8	4	deleted	delete	VERB
cana-3881	8	5	subgraph	subgraph	NOUN
cana-3881	8	6	or	or	CCONJ
cana-3881	8	7	card	card	NOUN
cana-3881	8	8	g	g	PROPN
cana-3881	8	9	−	−	PROPN
cana-3881	8	10	v	v	NOUN
cana-3881	8	11	of	of	ADP
cana-3881	8	12	a	a	DET
cana-3881	8	13	graph	graph	NOUN
cana-3881	8	14	(	(	PUNCT
cana-3881	8	15	digraph	digraph	NOUN
cana-3881	8	16	)	)	PUNCT
cana-3881	8	17	g	g	NOUN
cana-3881	8	18	is	be	AUX
cana-3881	8	19	the	the	DET
cana-3881	8	20	unlabelled	unlabelled	ADJ
cana-3881	8	21	graph	graph	NOUN
cana-3881	8	22	(	(	PUNCT
cana-3881	8	23	digraph	digraph	NOUN
cana-3881	8	24	)	)	PUNCT
cana-3881	8	25	obtained	obtain	VERB
cana-3881	8	26	from	from	ADP
cana-3881	8	27	g	g	NOUN
cana-3881	8	28	by	by	ADP
cana-3881	8	29	deleting	delete	VERB
cana-3881	8	30	the	the	DET
cana-3881	8	31	vertex	vertex	NOUN
cana-3881	8	32	v	v	NOUN
cana-3881	8	33	and	and	CCONJ
cana-3881	8	34	all	all	DET
cana-3881	8	35	edges	edge	NOUN
cana-3881	8	36	(	(	PUNCT
cana-3881	8	37	arcs	arc	NOUN
cana-3881	8	38	)	)	PUNCT
cana-3881	8	39	incident	incident	NOUN
cana-3881	8	40	with	with	ADP
cana-3881	8	41	v.	v.	ADP
cana-3881	8	42	the	the	DET
cana-3881	8	43	deck	deck	NOUN
cana-3881	8	44	of	of	ADP
cana-3881	8	45	a	a	DET
cana-3881	8	46	graph	graph	NOUN
cana-3881	8	47	(	(	PUNCT
cana-3881	8	48	digraph	digraph	NOUN
cana-3881	8	49	)	)	PUNCT
cana-3881	8	50	g	g	NOUN
cana-3881	8	51	is	be	AUX
cana-3881	8	52	its	its	PRON
cana-3881	8	53	collection	collection	NOUN
cana-3881	8	54	of	of	ADP
cana-3881	8	55	cards	card	NOUN
cana-3881	8	56	.	.	PUNCT
cana-3881	9	1	following	follow	VERB
cana-3881	9	2	the	the	DET
cana-3881	9	3	formulation	formulation	NOUN
cana-3881	9	4	in	in	ADP
cana-3881	9	5	[	[	X
cana-3881	9	6	2	2	NUM
cana-3881	9	7	]	]	PUNCT
cana-3881	9	8	,	,	PUNCT
cana-3881	9	9	a	a	DET
cana-3881	9	10	graph	graph	NOUN
cana-3881	9	11	(	(	PUNCT
cana-3881	9	12	digraph	digraph	NOUN
cana-3881	9	13	)	)	PUNCT
cana-3881	9	14	g	g	NOUN
cana-3881	9	15	is	be	AUX
cana-3881	9	16	reconstructible	reconstructible	ADJ
cana-3881	9	17	if	if	SCONJ
cana-3881	9	18	it	it	PRON
cana-3881	9	19	can	can	AUX
cana-3881	9	20	be	be	AUX
cana-3881	9	21	uniquely	uniquely	ADV
cana-3881	9	22	determined	determined	ADJ
cana-3881	9	23	from	from	ADP
cana-3881	9	24	its	its	PRON
cana-3881	9	25	deck	deck	NOUN
cana-3881	9	26	.	.	PUNCT
cana-3881	10	1	the	the	DET
cana-3881	10	2	well	well	ADV
cana-3881	10	3	-	-	PUNCT
cana-3881	10	4	known	know	VERB
cana-3881	10	5	reconstruction	reconstruction	NOUN
cana-3881	10	6	conjecture	conjecture	NOUN
cana-3881	10	7	(	(	PUNCT
cana-3881	10	8	rc	rc	PROPN
cana-3881	10	9	)	)	PUNCT
cana-3881	10	10	due	due	ADJ
cana-3881	10	11	kelly	kelly	PROPN
cana-3881	10	12	[	[	X
cana-3881	10	13	13	13	NUM
cana-3881	10	14	]	]	PUNCT
cana-3881	10	15	and	and	CCONJ
cana-3881	10	16	ulam	ulam	X
cana-3881	11	1	[	[	X
cana-3881	11	2	26	26	NUM
cana-3881	11	3	]	]	PUNCT
cana-3881	11	4	asserts	assert	VERB
cana-3881	11	5	that	that	SCONJ
cana-3881	11	6	every	every	DET
cana-3881	11	7	graph	graph	NOUN
cana-3881	11	8	with	with	ADP
cana-3881	11	9	at	at	ADV
cana-3881	11	10	least	least	ADV
cana-3881	11	11	three	three	NUM
cana-3881	11	12	vertices	vertex	NOUN
cana-3881	11	13	is	be	AUX
cana-3881	11	14	reconstructible	reconstructible	ADJ
cana-3881	11	15	.	.	PUNCT
cana-3881	12	1	the	the	DET
cana-3881	12	2	conjecture	conjecture	NOUN
cana-3881	12	3	has	have	AUX
cana-3881	12	4	been	be	AUX
cana-3881	12	5	proved	prove	VERB
cana-3881	12	6	for	for	ADP
cana-3881	12	7	many	many	ADJ
cana-3881	12	8	special	special	ADJ
cana-3881	12	9	classes	class	NOUN
cana-3881	12	10	,	,	PUNCT
cana-3881	12	11	and	and	CCONJ
cana-3881	12	12	many	many	ADJ
cana-3881	12	13	properties	property	NOUN
cana-3881	12	14	of	of	ADP
cana-3881	12	15	g	g	NOUN
cana-3881	12	16	may	may	AUX
cana-3881	12	17	be	be	AUX
cana-3881	12	18	deduced	deduce	VERB
cana-3881	12	19	from	from	ADP
cana-3881	12	20	its	its	PRON
cana-3881	12	21	deck	deck	NOUN
cana-3881	12	22	.	.	PUNCT
cana-3881	13	1	nevertheless	nevertheless	ADV
cana-3881	13	2	,	,	PUNCT
cana-3881	13	3	the	the	DET
cana-3881	13	4	full	full	ADJ
cana-3881	13	5	conjecture	conjecture	NOUN
cana-3881	13	6	remains	remain	VERB
cana-3881	13	7	open	open	ADJ
cana-3881	13	8	.	.	PUNCT
cana-3881	14	1	surveys	survey	NOUN
cana-3881	14	2	of	of	ADP
cana-3881	14	3	results	result	NOUN
cana-3881	14	4	on	on	ADP
cana-3881	14	5	the	the	DET
cana-3881	14	6	rc	rc	PROPN
cana-3881	14	7	and	and	CCONJ
cana-3881	14	8	related	related	ADJ
cana-3881	14	9	problems	problem	NOUN
cana-3881	14	10	include	include	VERB
cana-3881	14	11	[	[	X
cana-3881	14	12	7	7	NUM
cana-3881	14	13	,	,	PUNCT
cana-3881	14	14	17	17	NUM
cana-3881	14	15	]	]	PUNCT
cana-3881	14	16	.	.	PUNCT
cana-3881	15	1	harary	harary	NOUN
cana-3881	15	2	and	and	CCONJ
cana-3881	15	3	plantholt	plantholt	NOUN
cana-3881	16	1	[	[	X
cana-3881	16	2	10	10	NUM
cana-3881	16	3	]	]	PUNCT
cana-3881	16	4	defined	define	VERB
cana-3881	16	5	the	the	DET
cana-3881	16	6	reconstruction	reconstruction	NOUN
cana-3881	16	7	number	number	NOUN
cana-3881	16	8	of	of	ADP
cana-3881	16	9	a	a	DET
cana-3881	16	10	graph	graph	NOUN
cana-3881	16	11	g	g	NOUN
cana-3881	16	12	,	,	PUNCT
cana-3881	16	13	denoted	denote	VERB
cana-3881	16	14	by	by	ADP
cana-3881	16	15	rn(g	rn(g	NUM
cana-3881	16	16	)	)	PUNCT
cana-3881	16	17	,	,	PUNCT
cana-3881	16	18	to	to	PART
cana-3881	16	19	be	be	AUX
cana-3881	16	20	the	the	DET
cana-3881	16	21	minimum	minimum	ADJ
cana-3881	16	22	number	number	NOUN
cana-3881	16	23	of	of	ADP
cana-3881	16	24	cards	card	NOUN
cana-3881	16	25	which	which	PRON
cana-3881	16	26	can	can	AUX
cana-3881	16	27	only	only	ADV
cana-3881	16	28	belong	belong	VERB
cana-3881	16	29	to	to	ADP
cana-3881	16	30	the	the	DET
cana-3881	16	31	deck	deck	NOUN
cana-3881	16	32	of	of	ADP
cana-3881	16	33	g	g	PROPN
cana-3881	16	34	and	and	CCONJ
cana-3881	16	35	not	not	PART
cana-3881	16	36	to	to	ADP
cana-3881	16	37	the	the	DET
cana-3881	16	38	deck	deck	NOUN
cana-3881	16	39	of	of	ADP
cana-3881	16	40	any	any	DET
cana-3881	16	41	other	other	ADJ
cana-3881	16	42	graph	graph	NOUN
cana-3881	16	43	h	h	NOUN
cana-3881	16	44	,	,	PUNCT
cana-3881	16	45	h	h	NOUN
cana-3881	16	46			PROPN
cana-3881	16	47	g	g	PROPN
cana-3881	16	48	,	,	PUNCT
cana-3881	16	49	these	these	DET
cana-3881	16	50	cards	card	NOUN
cana-3881	16	51	thus	thus	ADV
cana-3881	16	52	uniquely	uniquely	ADV
cana-3881	16	53	identifying	identify	VERB
cana-3881	16	54	g.	g.	NOUN
cana-3881	16	55	reconstruction	reconstruction	NOUN
cana-3881	16	56	numbers	number	NOUN
cana-3881	16	57	are	be	AUX
cana-3881	16	58	known	know	VERB
cana-3881	16	59	for	for	ADP
cana-3881	16	60	only	only	ADV
cana-3881	16	61	few	few	ADJ
cana-3881	16	62	classes	class	NOUN
cana-3881	16	63	of	of	ADP
cana-3881	16	64	graphs	graph	NOUN
cana-3881	16	65	[	[	X
cana-3881	16	66	5	5	NUM
cana-3881	16	67	]	]	PUNCT
cana-3881	16	68	.	.	PUNCT
cana-3881	17	1	an	an	DET
cana-3881	17	2	extension	extension	NOUN
cana-3881	17	3	of	of	ADP
cana-3881	17	4	the	the	DET
cana-3881	17	5	rc	rc	PROPN
cana-3881	17	6	to	to	PART
cana-3881	17	7	digraphs	digraphs	VERB
cana-3881	17	8	is	be	AUX
cana-3881	17	9	the	the	DET
cana-3881	17	10	digraph	digraph	ADJ
cana-3881	17	11	reconstruction	reconstruction	NOUN
cana-3881	17	12	conjecture	conjecture	NOUN
cana-3881	17	13	(	(	PUNCT
cana-3881	17	14	drc	drc	PROPN
cana-3881	17	15	)	)	PUNCT
cana-3881	17	16	,	,	PUNCT
cana-3881	17	17	proposed	propose	VERB
cana-3881	17	18	by	by	ADP
cana-3881	17	19	harary	harary	NOUN
cana-3881	18	1	[	[	X
cana-3881	18	2	9	9	NUM
cana-3881	18	3	]	]	PUNCT
cana-3881	18	4	,	,	PUNCT
cana-3881	18	5	which	which	PRON
cana-3881	18	6	asserts	assert	VERB
cana-3881	18	7	that	that	SCONJ
cana-3881	18	8	every	every	DET
cana-3881	18	9	digraph	digraph	NOUN
cana-3881	18	10	with	with	ADP
cana-3881	18	11	at	at	ADV
cana-3881	18	12	least	least	ADV
cana-3881	18	13	seven	seven	NUM
cana-3881	18	14	vertices	vertex	NOUN
cana-3881	18	15	is	be	AUX
cana-3881	18	16	reconstructible	reconstructible	ADJ
cana-3881	18	17	.	.	PUNCT
cana-3881	19	1	the	the	DET
cana-3881	19	2	drc	drc	PROPN
cana-3881	19	3	was	be	AUX
cana-3881	19	4	disproved	disprove	VERB
cana-3881	19	5	by	by	ADP
cana-3881	19	6	stockmeyer	stockmeyer	NOUN
cana-3881	20	1	[	[	X
cana-3881	20	2	25	25	NUM
cana-3881	20	3	]	]	PUNCT
cana-3881	20	4	by	by	ADP
cana-3881	20	5	exhibiting	exhibit	VERB
cana-3881	20	6	several	several	ADJ
cana-3881	20	7	infinite	infinite	ADJ
cana-3881	20	8	families	family	NOUN
cana-3881	20	9	of	of	ADP
cana-3881	20	10	counter	counter	NOUN
cana-3881	20	11	-	-	NOUN
cana-3881	20	12	examples	example	NOUN
cana-3881	20	13	and	and	CCONJ
cana-3881	20	14	this	this	PRON
cana-3881	20	15	made	make	VERB
cana-3881	20	16	people	people	NOUN
cana-3881	20	17	doubt	doubt	VERB
cana-3881	20	18	the	the	DET
cana-3881	20	19	rc	rc	PROPN
cana-3881	20	20	itself	itself	PRON
cana-3881	20	21	.	.	PUNCT
cana-3881	21	1	to	to	PART
cana-3881	21	2	overcome	overcome	VERB
cana-3881	21	3	this	this	PRON
cana-3881	21	4	,	,	PUNCT
cana-3881	21	5	ramachandran	ramachandran	PROPN
cana-3881	22	1	[	[	X
cana-3881	22	2	21	21	NUM
cana-3881	22	3	]	]	PUNCT
cana-3881	22	4	introduced	introduce	VERB
cana-3881	22	5	degree	degree	NOUN
cana-3881	22	6	associated	associate	VERB
cana-3881	22	7	reconstruction	reconstruction	NOUN
cana-3881	22	8	for	for	ADP
cana-3881	22	9	digraphs	digraph	NOUN
cana-3881	22	10	and	and	CCONJ
cana-3881	22	11	proposed	propose	VERB
cana-3881	22	12	a	a	DET
cana-3881	22	13	new	new	ADJ
cana-3881	22	14	conjecture	conjecture	NOUN
cana-3881	22	15	in	in	ADP
cana-3881	22	16	1981	1981	NUM
cana-3881	22	17	.	.	PUNCT
cana-3881	23	1	it	it	PRON
cana-3881	23	2	was	be	AUX
cana-3881	23	3	proved	prove	VERB
cana-3881	23	4	[	[	X
cana-3881	23	5	21	21	NUM
cana-3881	23	6	]	]	PUNCT
cana-3881	23	7	that	that	SCONJ
cana-3881	23	8	the	the	DET
cana-3881	23	9	digraphs	digraph	NOUN
cana-3881	23	10	in	in	ADP
cana-3881	23	11	all	all	DET
cana-3881	23	12	these	these	DET
cana-3881	23	13	counterexamples	counterexample	NOUN
cana-3881	23	14	to	to	ADP
cana-3881	23	15	the	the	DET
cana-3881	23	16	drc	drc	PROPN
cana-3881	23	17	obey	obey	VERB
cana-3881	23	18	the	the	DET
cana-3881	23	19	new	new	ADJ
cana-3881	23	20	conjecture	conjecture	NOUN
cana-3881	23	21	,	,	PUNCT
cana-3881	23	22	thereby	thereby	ADV
cana-3881	23	23	protecting	protect	VERB
cana-3881	23	24	the	the	DET
cana-3881	23	25	rc	rc	PROPN
cana-3881	23	26	from	from	ADP
cana-3881	23	27	the	the	DET
cana-3881	23	28	threat	threat	NOUN
cana-3881	23	29	posed	pose	VERB
cana-3881	23	30	by	by	ADP
cana-3881	23	31	these	these	DET
cana-3881	23	32	digraph	digraph	ADJ
cana-3881	23	33	counterexamples	counterexample	NOUN
cana-3881	23	34	.	.	PUNCT
cana-3881	24	1	the	the	DET
cana-3881	24	2	ordered	ordered	ADJ
cana-3881	24	3	triple	triple	ADJ
cana-3881	24	4	(	(	PUNCT
cana-3881	24	5	a	a	PRON
cana-3881	24	6	,	,	PUNCT
cana-3881	24	7	b	b	NOUN
cana-3881	24	8	,	,	PUNCT
cana-3881	24	9	c	c	NOUN
cana-3881	24	10	)	)	PUNCT
cana-3881	24	11	where	where	SCONJ
cana-3881	24	12	a	a	DET
cana-3881	24	13	,	,	PUNCT
cana-3881	24	14	b	b	NOUN
cana-3881	24	15	and	and	CCONJ
cana-3881	24	16	c	c	PROPN
cana-3881	24	17	are	be	AUX
cana-3881	24	18	respectively	respectively	ADV
cana-3881	24	19	the	the	DET
cana-3881	24	20	number	number	NOUN
cana-3881	24	21	of	of	ADP
cana-3881	24	22	unpaired	unpaired	ADJ
cana-3881	24	23	out	out	ADP
cana-3881	24	24	arcs	arc	NOUN
cana-3881	24	25	,	,	PUNCT
cana-3881	24	26	unpaired	unpaire	VERB
cana-3881	24	27	in	in	ADP
cana-3881	24	28	arcs	arc	NOUN
cana-3881	24	29	and	and	CCONJ
cana-3881	24	30	symmetric	symmetric	ADJ
cana-3881	24	31	pair	pair	NOUN
cana-3881	24	32	of	of	ADP
cana-3881	24	33	arcs	arcs	PROPN
cana-3881	24	34	incident	incident	NOUN
cana-3881	24	35	with	with	ADP
cana-3881	24	36	v	v	NOUN
cana-3881	24	37	in	in	ADP
cana-3881	24	38	a	a	DET
cana-3881	24	39	digraph	digraph	NOUN
cana-3881	24	40	d	d	NOUN
cana-3881	24	41	is	be	AUX
cana-3881	24	42	called	call	VERB
cana-3881	24	43	the	the	DET
cana-3881	24	44	degree	degree	NOUN
cana-3881	24	45	triple	triple	NOUN
cana-3881	24	46	of	of	ADP
cana-3881	24	47	v.	v.	ADP
cana-3881	24	48	the	the	DET
cana-3881	24	49	degree	degree	NOUN
cana-3881	24	50	associated	associate	VERB
cana-3881	24	51	card	card	NOUN
cana-3881	24	52	or	or	CCONJ
cana-3881	24	53	dacard	dacard	NOUN
cana-3881	24	54	of	of	ADP
cana-3881	24	55	a	a	DET
cana-3881	24	56	digraph	digraph	NOUN
cana-3881	24	57	(	(	PUNCT
cana-3881	24	58	graph	graph	NOUN
cana-3881	24	59	)	)	PUNCT
cana-3881	24	60	is	be	AUX
cana-3881	24	61	a	a	DET
cana-3881	24	62	pair	pair	NOUN
cana-3881	24	63	(	(	PUNCT
cana-3881	24	64	d	d	NOUN
cana-3881	24	65	,	,	PUNCT
cana-3881	24	66	c	c	NOUN
cana-3881	24	67	)	)	PUNCT
cana-3881	24	68	consisting	consist	VERB
cana-3881	24	69	of	of	ADP
cana-3881	24	70	a	a	DET
cana-3881	24	71	card	card	NOUN
cana-3881	24	72	c	c	NOUN
cana-3881	24	73	and	and	CCONJ
cana-3881	24	74	the	the	DET
cana-3881	24	75	degree	degree	NOUN
cana-3881	24	76	triple	triple	ADJ
cana-3881	24	77	(	(	PUNCT
cana-3881	24	78	degree	degree	NOUN
cana-3881	24	79	)	)	PUNCT
cana-3881	25	1	d	d	NOUN
cana-3881	25	2	of	of	ADP
cana-3881	25	3	the	the	DET
cana-3881	25	4	deleted	delete	VERB
cana-3881	25	5	vertex	vertex	NOUN
cana-3881	25	6	.	.	PUNCT
cana-3881	26	1	the	the	DET
cana-3881	26	2	dadeck	dadeck	NOUN
cana-3881	26	3	of	of	ADP
cana-3881	26	4	a	a	DET
cana-3881	26	5	digraph	digraph	NOUN
cana-3881	26	6	is	be	AUX
cana-3881	26	7	the	the	DET
cana-3881	26	8	multiset	multiset	NOUN
cana-3881	26	9	of	of	ADP
cana-3881	26	10	all	all	DET
cana-3881	26	11	its	its	PRON
cana-3881	26	12	dacards	dacard	NOUN
cana-3881	26	13	.	.	PUNCT
cana-3881	27	1	a	a	DET
cana-3881	27	2	digraph	digraph	NOUN
cana-3881	27	3	is	be	AUX
cana-3881	27	4	said	say	VERB
cana-3881	27	5	to	to	PART
cana-3881	27	6	be	be	AUX
cana-3881	27	7	n	n	ADV
cana-3881	27	8	-	-	PUNCT
cana-3881	27	9	reconstructible	reconstructible	ADJ
cana-3881	27	10	communications	communication	NOUN
cana-3881	27	11	on	on	ADP
cana-3881	27	12	applied	apply	VERB
cana-3881	27	13	nonlinear	nonlinear	ADJ
cana-3881	27	14	analysis	analysis	NOUN
cana-3881	27	15	issn	issn	NOUN
cana-3881	27	16	:	:	PUNCT
cana-3881	27	17	1074	1074	NUM
cana-3881	27	18	-	-	PUNCT
cana-3881	27	19	133x	133x	NUM
cana-3881	27	20	vol	vol	NOUN
cana-3881	27	21	32	32	NUM
cana-3881	27	22	no	no	NOUN
cana-3881	27	23	.	.	PUNCT
cana-3881	28	1	8s	8s	PROPN
cana-3881	28	2	(	(	PUNCT
cana-3881	28	3	2025	2025	NUM
cana-3881	28	4	)	)	PUNCT
cana-3881	28	5	889	889	NUM
cana-3881	28	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3881	28	7	if	if	SCONJ
cana-3881	28	8	it	it	PRON
cana-3881	28	9	can	can	AUX
cana-3881	28	10	be	be	AUX
cana-3881	28	11	uniquely	uniquely	ADV
cana-3881	28	12	determined	determined	ADJ
cana-3881	28	13	from	from	ADP
cana-3881	28	14	its	its	PRON
cana-3881	28	15	dadeck	dadeck	NOUN
cana-3881	28	16	.	.	PUNCT
cana-3881	29	1	the	the	DET
cana-3881	29	2	new	new	ADJ
cana-3881	29	3	digraph	digraph	ADJ
cana-3881	29	4	reconstruction	reconstruction	NOUN
cana-3881	29	5	conjecture	conjecture	NOUN
cana-3881	29	6	[	[	X
cana-3881	29	7	21	21	NUM
cana-3881	29	8	]	]	X
cana-3881	29	9	(	(	PUNCT
cana-3881	29	10	ndrc	ndrc	NOUN
cana-3881	29	11	)	)	PUNCT
cana-3881	29	12	asserts	assert	VERB
cana-3881	29	13	that	that	SCONJ
cana-3881	29	14	all	all	DET
cana-3881	29	15	digraphs	digraph	NOUN
cana-3881	29	16	are	be	AUX
cana-3881	29	17	n	n	PRON
cana-3881	29	18	-	-	PUNCT
cana-3881	29	19	reconstructible	reconstructible	ADJ
cana-3881	29	20	.	.	PUNCT
cana-3881	30	1	ramachandran	ramachandran	PROPN
cana-3881	31	1	[	[	X
cana-3881	31	2	22	22	NUM
cana-3881	31	3	,	,	PUNCT
cana-3881	31	4	23	23	NUM
cana-3881	31	5	]	]	PUNCT
cana-3881	31	6	then	then	ADV
cana-3881	31	7	studied	study	VERB
cana-3881	31	8	the	the	DET
cana-3881	31	9	degree	degree	NOUN
cana-3881	31	10	associated	associate	VERB
cana-3881	31	11	reconstruction	reconstruction	NOUN
cana-3881	31	12	number	number	NOUN
cana-3881	31	13	of	of	ADP
cana-3881	31	14	graphs	graph	NOUN
cana-3881	31	15	and	and	CCONJ
cana-3881	31	16	digraphs	digraph	NOUN
cana-3881	31	17	in	in	ADP
cana-3881	31	18	2000	2000	NUM
cana-3881	31	19	.	.	PUNCT
cana-3881	32	1	the	the	DET
cana-3881	32	2	degree	degree	NOUN
cana-3881	32	3	(	(	PUNCT
cana-3881	32	4	degree	degree	NOUN
cana-3881	32	5	triple	triple	ADJ
cana-3881	32	6	)	)	PUNCT
cana-3881	32	7	associated	associated	ADJ
cana-3881	32	8	reconstruction	reconstruction	NOUN
cana-3881	32	9	number	number	NOUN
cana-3881	32	10	of	of	ADP
cana-3881	32	11	a	a	DET
cana-3881	32	12	graph	graph	NOUN
cana-3881	32	13	(	(	PUNCT
cana-3881	32	14	digraph	digraph	NOUN
cana-3881	32	15	)	)	PUNCT
cana-3881	32	16	d	d	NOUN
cana-3881	32	17	is	be	AUX
cana-3881	32	18	the	the	DET
cana-3881	32	19	size	size	NOUN
cana-3881	32	20	of	of	ADP
cana-3881	32	21	the	the	DET
cana-3881	32	22	smallest	small	ADJ
cana-3881	32	23	collection	collection	NOUN
cana-3881	32	24	of	of	ADP
cana-3881	32	25	dacards	dacard	NOUN
cana-3881	32	26	of	of	ADP
cana-3881	32	27	d	d	PROPN
cana-3881	32	28	that	that	PRON
cana-3881	32	29	uniquely	uniquely	ADV
cana-3881	32	30	determines	determine	VERB
cana-3881	32	31	d.	d.	PROPN
cana-3881	32	32	articles	article	NOUN
cana-3881	32	33	[	[	X
cana-3881	32	34	2	2	NUM
cana-3881	32	35	]	]	PUNCT
cana-3881	32	36	,	,	PUNCT
cana-3881	32	37	[	[	X
cana-3881	32	38	3	3	NUM
cana-3881	32	39	]	]	PUNCT
cana-3881	32	40	,	,	PUNCT
cana-3881	32	41	[	[	X
cana-3881	32	42	4	4	NUM
cana-3881	32	43	]	]	PUNCT
cana-3881	32	44	,	,	PUNCT
cana-3881	32	45	[	[	X
cana-3881	32	46	6	6	NUM
cana-3881	32	47	]	]	PUNCT
cana-3881	32	48	and	and	CCONJ
cana-3881	32	49	[	[	X
cana-3881	32	50	15	15	NUM
cana-3881	32	51	]	]	PUNCT
cana-3881	32	52	are	be	AUX
cana-3881	32	53	recent	recent	ADJ
cana-3881	32	54	papers	paper	NOUN
cana-3881	32	55	on	on	ADP
cana-3881	32	56	the	the	DET
cana-3881	32	57	degree	degree	NOUN
cana-3881	32	58	associated	associate	VERB
cana-3881	32	59	reconstruction	reconstruction	NOUN
cana-3881	32	60	number	number	NOUN
cana-3881	32	61	.	.	PUNCT
cana-3881	33	1	a	a	DET
cana-3881	33	2	split	split	ADJ
cana-3881	33	3	graph	graph	NOUN
cana-3881	33	4	g	g	NOUN
cana-3881	33	5	is	be	AUX
cana-3881	33	6	a	a	DET
cana-3881	33	7	graph	graph	NOUN
cana-3881	33	8	in	in	ADP
cana-3881	33	9	which	which	PRON
cana-3881	33	10	the	the	DET
cana-3881	33	11	vertices	vertex	NOUN
cana-3881	33	12	can	can	AUX
cana-3881	33	13	be	be	AUX
cana-3881	33	14	partitioned	partition	VERB
cana-3881	33	15	into	into	ADP
cana-3881	33	16	an	an	DET
cana-3881	33	17	independent	independent	ADJ
cana-3881	33	18	set	set	NOUN
cana-3881	33	19	(	(	PUNCT
cana-3881	33	20	say	say	INTJ
cana-3881	33	21	x	x	X
cana-3881	33	22	(	(	PUNCT
cana-3881	33	23	g	g	NOUN
cana-3881	33	24	)	)	PUNCT
cana-3881	33	25	or	or	CCONJ
cana-3881	33	26	simply	simply	ADV
cana-3881	33	27	x	x	X
cana-3881	33	28	)	)	PUNCT
cana-3881	33	29	and	and	CCONJ
cana-3881	33	30	a	a	DET
cana-3881	33	31	clique	clique	NOUN
cana-3881	33	32	(	(	PUNCT
cana-3881	33	33	say	say	VERB
cana-3881	33	34	y	y	PROPN
cana-3881	33	35	(	(	PUNCT
cana-3881	33	36	g	g	NOUN
cana-3881	33	37	)	)	PUNCT
cana-3881	33	38	or	or	CCONJ
cana-3881	33	39	simply	simply	ADV
cana-3881	33	40	y	y	PROPN
cana-3881	33	41	)	)	PUNCT
cana-3881	33	42	.	.	PUNCT
cana-3881	34	1	here	here	ADV
cana-3881	34	2	we	we	PRON
cana-3881	34	3	use	use	VERB
cana-3881	34	4	g	g	NOUN
cana-3881	34	5	,	,	PUNCT
cana-3881	34	6	x	x	PROPN
cana-3881	34	7	and	and	CCONJ
cana-3881	34	8	y	y	PROPN
cana-3881	34	9	in	in	ADP
cana-3881	34	10	the	the	DET
cana-3881	34	11	sense	sense	NOUN
cana-3881	34	12	of	of	ADP
cana-3881	34	13	this	this	DET
cana-3881	34	14	definition	definition	NOUN
cana-3881	34	15	.	.	PUNCT
cana-3881	35	1	s.	s.	PROPN
cana-3881	35	2	monikandan	monikandan	PROPN
cana-3881	35	3	and	and	CCONJ
cana-3881	35	4	n.	n.	PROPN
cana-3881	35	5	kalaimathi	kalaimathi	PROPN
cana-3881	36	1	[	[	X
cana-3881	36	2	11	11	NUM
cana-3881	36	3	]	]	PUNCT
cana-3881	36	4	have	have	AUX
cana-3881	36	5	shown	show	VERB
cana-3881	36	6	that	that	SCONJ
cana-3881	36	7	all	all	DET
cana-3881	36	8	split	split	ADJ
cana-3881	36	9	graphs	graph	NOUN
cana-3881	36	10	g	g	NOUN
cana-3881	36	11	with	with	ADP
cana-3881	36	12	regular	regular	ADJ
cana-3881	36	13	independent	independent	ADJ
cana-3881	36	14	set	set	NOUN
cana-3881	36	15	have	have	AUX
cana-3881	36	16	drn	drn	VERB
cana-3881	36	17	(	(	PUNCT
cana-3881	36	18	g	g	NOUN
cana-3881	36	19	)	)	PUNCT
cana-3881	36	20	≤	≤	NOUN
cana-3881	36	21	3	3	NUM
cana-3881	36	22	.	.	PUNCT
cana-3881	37	1	in	in	ADP
cana-3881	37	2	this	this	DET
cana-3881	37	3	paper	paper	NOUN
cana-3881	37	4	,	,	PUNCT
cana-3881	37	5	we	we	PRON
cana-3881	37	6	prove	prove	VERB
cana-3881	37	7	that	that	SCONJ
cana-3881	37	8	drn(g	drn(g	PROPN
cana-3881	37	9	)	)	PUNCT
cana-3881	37	10	=	=	SYM
cana-3881	37	11	1	1	NUM
cana-3881	37	12	or	or	CCONJ
cana-3881	37	13	2	2	NUM
cana-3881	37	14	for	for	ADP
cana-3881	37	15	all	all	DET
cana-3881	37	16	split	split	ADJ
cana-3881	37	17	graphs	graph	NOUN
cana-3881	37	18	g	g	ADP
cana-3881	37	19	of	of	ADP
cana-3881	37	20	order	order	NOUN
cana-3881	37	21	at	at	ADV
cana-3881	37	22	least	least	ADV
cana-3881	37	23	seven	seven	NUM
cana-3881	37	24	in	in	ADP
cana-3881	37	25	which	which	PRON
cana-3881	37	26	all	all	DET
cana-3881	37	27	the	the	DET
cana-3881	37	28	vertices	vertex	NOUN
cana-3881	37	29	in	in	ADV
cana-3881	37	30	x	x	PART
cana-3881	37	31	have	have	VERB
cana-3881	37	32	only	only	ADV
cana-3881	37	33	r	r	NOUN
cana-3881	37	34	and	and	CCONJ
cana-3881	37	35	s	s	NOUN
cana-3881	37	36	degrees	degree	NOUN
cana-3881	37	37	in	in	ADP
cana-3881	37	38	g.	g.	PROPN
cana-3881	37	39	2	2	NUM
cana-3881	37	40	drn	drn	NOUN
cana-3881	37	41	of	of	ADP
cana-3881	37	42	split	split	ADJ
cana-3881	37	43	graphs	graph	NOUN
cana-3881	37	44	in	in	ADP
cana-3881	37	45	a	a	DET
cana-3881	37	46	graph	graph	NOUN
cana-3881	37	47	g	g	NOUN
cana-3881	37	48	of	of	ADP
cana-3881	37	49	order	order	NOUN
cana-3881	37	50	n	n	CCONJ
cana-3881	37	51	,	,	PUNCT
cana-3881	37	52	a	a	DET
cana-3881	37	53	vertex	vertex	NOUN
cana-3881	37	54	with	with	ADP
cana-3881	37	55	degree	degree	NOUN
cana-3881	37	56	d	d	NOUN
cana-3881	37	57	is	be	AUX
cana-3881	37	58	called	call	VERB
cana-3881	37	59	a	a	DET
cana-3881	37	60	d	d	PROPN
cana-3881	37	61	-vertex	-vertex	PROPN
cana-3881	37	62	.	.	PUNCT
cana-3881	38	1	the	the	DET
cana-3881	38	2	degree	degree	NOUN
cana-3881	38	3	of	of	ADP
cana-3881	38	4	a	a	DET
cana-3881	38	5	vertex	vertex	NOUN
cana-3881	38	6	v	v	NOUN
cana-3881	38	7	in	in	ADP
cana-3881	38	8	g	g	PROPN
cana-3881	38	9	is	be	AUX
cana-3881	38	10	denoted	denote	VERB
cana-3881	38	11	by	by	ADP
cana-3881	38	12	degg	degg	NOUN
cana-3881	38	13	v	v	NOUN
cana-3881	38	14	or	or	CCONJ
cana-3881	38	15	simply	simply	ADV
cana-3881	38	16	deg	deg	VERB
cana-3881	38	17	v.	v.	CCONJ
cana-3881	38	18	the	the	DET
cana-3881	38	19	neighbourhood	neighbourhood	NOUN
cana-3881	38	20	of	of	ADP
cana-3881	38	21	a	a	DET
cana-3881	38	22	vertex	vertex	NOUN
cana-3881	38	23	v	v	NOUN
cana-3881	38	24	in	in	ADP
cana-3881	38	25	g	g	NOUN
cana-3881	38	26	,	,	PUNCT
cana-3881	38	27	written	write	VERB
cana-3881	38	28	ng	ng	PROPN
cana-3881	38	29	(	(	PUNCT
cana-3881	38	30	v	v	NOUN
cana-3881	38	31	)	)	PUNCT
cana-3881	38	32	or	or	CCONJ
cana-3881	38	33	simply	simply	ADV
cana-3881	38	34	n	n	PROPN
cana-3881	38	35	(	(	PUNCT
cana-3881	38	36	v	v	NOUN
cana-3881	38	37	)	)	PUNCT
cana-3881	38	38	,	,	PUNCT
cana-3881	38	39	is	be	AUX
cana-3881	38	40	the	the	DET
cana-3881	38	41	set	set	NOUN
cana-3881	38	42	of	of	ADP
cana-3881	38	43	vertices	vertex	NOUN
cana-3881	38	44	adjacent	adjacent	ADJ
cana-3881	38	45	to	to	ADP
cana-3881	38	46	v	v	NOUN
cana-3881	38	47	in	in	ADP
cana-3881	38	48	g.	g.	PROPN
cana-3881	38	49	the	the	DET
cana-3881	38	50	next	next	PROPN
cana-3881	38	51	theorem	theorem	NOUN
cana-3881	38	52	,	,	PUNCT
cana-3881	38	53	due	due	ADP
cana-3881	38	54	to	to	ADP
cana-3881	38	55	barrus	barrus	NOUN
cana-3881	38	56	and	and	CCONJ
cana-3881	38	57	west	west	NOUN
cana-3881	39	1	[	[	X
cana-3881	39	2	6	6	NUM
cana-3881	39	3	]	]	PUNCT
cana-3881	39	4	,	,	PUNCT
cana-3881	39	5	characterizes	characterize	VERB
cana-3881	39	6	all	all	DET
cana-3881	39	7	graphs	graph	NOUN
cana-3881	39	8	g	g	NOUN
cana-3881	39	9	with	with	ADP
cana-3881	39	10	drn	drn	ADJ
cana-3881	39	11	(	(	PUNCT
cana-3881	39	12	g	g	NOUN
cana-3881	39	13	)	)	PUNCT
cana-3881	39	14	=	=	SYM
cana-3881	39	15	1	1	X
cana-3881	39	16	.	.	X
cana-3881	39	17	theorem	theorem	NOUN
cana-3881	39	18	1	1	NUM
cana-3881	39	19	.	.	PUNCT
cana-3881	40	1	the	the	DET
cana-3881	40	2	dacard	dacard	NOUN
cana-3881	40	3	(	(	PUNCT
cana-3881	40	4	c	c	X
cana-3881	40	5	,	,	PUNCT
cana-3881	40	6	d	d	NOUN
cana-3881	40	7	)	)	PUNCT
cana-3881	40	8	belongs	belong	VERB
cana-3881	40	9	to	to	ADP
cana-3881	40	10	the	the	DET
cana-3881	40	11	dadeck	dadeck	NOUN
cana-3881	40	12	of	of	ADP
cana-3881	40	13	only	only	ADV
cana-3881	40	14	one	one	NUM
cana-3881	40	15	graph	graph	NOUN
cana-3881	40	16	(	(	PUNCT
cana-3881	40	17	up	up	ADP
cana-3881	40	18	to	to	ADP
cana-3881	40	19	isomorphism	isomorphism	NOUN
cana-3881	40	20	)	)	PUNCT
cana-3881	40	21	if	if	SCONJ
cana-3881	40	22	and	and	CCONJ
cana-3881	40	23	only	only	ADV
cana-3881	40	24	if	if	SCONJ
cana-3881	40	25	one	one	NUM
cana-3881	40	26	of	of	ADP
cana-3881	40	27	the	the	DET
cana-3881	40	28	following	follow	VERB
cana-3881	40	29	holds	hold	VERB
cana-3881	40	30	:	:	PUNCT
cana-3881	40	31	(	(	PUNCT
cana-3881	40	32	1	1	X
cana-3881	40	33	)	)	PUNCT
cana-3881	40	34	d	d	NOUN
cana-3881	40	35	=	=	SYM
cana-3881	40	36	0	0	NUM
cana-3881	40	37	or	or	CCONJ
cana-3881	40	38	d	d	NOUN
cana-3881	40	39	=	=	X
cana-3881	40	40	|v	|v	PROPN
cana-3881	40	41	(	(	PUNCT
cana-3881	40	42	c)|	c)|	NOUN
cana-3881	40	43	;	;	PUNCT
cana-3881	40	44	(	(	PUNCT
cana-3881	40	45	2	2	X
cana-3881	40	46	)	)	PUNCT
cana-3881	40	47	d	d	NOUN
cana-3881	40	48	=	=	SYM
cana-3881	40	49	1	1	NUM
cana-3881	40	50	or	or	CCONJ
cana-3881	40	51	d	d	NOUN
cana-3881	40	52	=	=	X
cana-3881	40	53	|v	|v	X
cana-3881	40	54	(	(	PUNCT
cana-3881	40	55	c	c	NOUN
cana-3881	40	56	)	)	PUNCT
cana-3881	40	57	−	−	PROPN
cana-3881	40	58	1|	1|	NUM
cana-3881	40	59	,	,	PUNCT
cana-3881	40	60	and	and	CCONJ
cana-3881	40	61	c	c	PROPN
cana-3881	40	62	is	be	AUX
cana-3881	40	63	vertex	vertex	NOUN
cana-3881	40	64	-	-	PUNCT
cana-3881	40	65	transitive	transitive	ADJ
cana-3881	40	66	;	;	PUNCT
cana-3881	40	67	(	(	PUNCT
cana-3881	40	68	3	3	X
cana-3881	40	69	)	)	PUNCT
cana-3881	40	70	c	c	NOUN
cana-3881	40	71	is	be	AUX
cana-3881	40	72	complete	complete	ADJ
cana-3881	40	73	or	or	CCONJ
cana-3881	40	74	edgeless	edgeless	NOUN
cana-3881	40	75	.	.	PUNCT
cana-3881	41	1	ramachandran	ramachandran	PROPN
cana-3881	42	1	[	[	X
cana-3881	42	2	22	22	NUM
cana-3881	42	3	]	]	PUNCT
cana-3881	42	4	has	have	AUX
cana-3881	42	5	shown	show	VERB
cana-3881	42	6	that	that	SCONJ
cana-3881	42	7	all	all	DET
cana-3881	42	8	split	split	ADJ
cana-3881	42	9	graphs	graph	NOUN
cana-3881	42	10	g	g	NOUN
cana-3881	42	11	on	on	ADV
cana-3881	42	12	at	at	ADP
cana-3881	42	13	most	most	ADV
cana-3881	42	14	6	6	NUM
cana-3881	42	15	vertices	vertex	NOUN
cana-3881	42	16	have	have	AUX
cana-3881	42	17	drn	drn	VERB
cana-3881	42	18	(	(	PUNCT
cana-3881	42	19	g	g	NOUN
cana-3881	42	20	)	)	PUNCT
cana-3881	42	21	=	=	SYM
cana-3881	42	22	1	1	NUM
cana-3881	42	23	,	,	PUNCT
cana-3881	42	24	2	2	NUM
cana-3881	42	25	or	or	CCONJ
cana-3881	42	26	3	3	NUM
cana-3881	42	27	.	.	PUNCT
cana-3881	43	1	so	so	ADV
cana-3881	43	2	,	,	PUNCT
cana-3881	43	3	we	we	PRON
cana-3881	43	4	assume	assume	VERB
cana-3881	43	5	that	that	SCONJ
cana-3881	43	6	all	all	DET
cana-3881	43	7	split	split	ADJ
cana-3881	43	8	graphs	graph	NOUN
cana-3881	43	9	g	g	PROPN
cana-3881	43	10	consider	consider	VERB
cana-3881	43	11	hereafter	hereafter	ADV
cana-3881	43	12	have	have	VERB
cana-3881	43	13	order	order	NOUN
cana-3881	43	14	at	at	ADV
cana-3881	43	15	least	least	ADV
cana-3881	43	16	seven	seven	NUM
cana-3881	43	17	and	and	CCONJ
cana-3881	43	18	that	that	SCONJ
cana-3881	43	19	the	the	DET
cana-3881	43	20	independent	independent	ADJ
cana-3881	43	21	set	set	NOUN
cana-3881	43	22	is	be	AUX
cana-3881	43	23	biregular	biregular	ADJ
cana-3881	43	24	in	in	ADP
cana-3881	43	25	g.	g.	PROPN
cana-3881	43	26	let	let	VERB
cana-3881	43	27	|x|	|x|	PROPN
cana-3881	43	28	=	=	SYM
cana-3881	43	29	m1	m1	PROPN
cana-3881	43	30	>	>	X
cana-3881	43	31	0	0	PUNCT
cana-3881	43	32	and	and	CCONJ
cana-3881	43	33	|y	|y	NOUN
cana-3881	43	34	|	|	NOUN
cana-3881	43	35	=	=	SYM
cana-3881	43	36	m2	m2	PROPN
cana-3881	43	37	>	>	X
cana-3881	43	38	0	0	PROPN
cana-3881	43	39	.	.	PUNCT
cana-3881	44	1	then	then	ADV
cana-3881	44	2	we	we	PRON
cana-3881	44	3	have	have	VERB
cana-3881	44	4	0	0	NUM
cana-3881	44	5	<	<	X
cana-3881	44	6	r	r	NOUN
cana-3881	44	7	<	<	X
cana-3881	44	8	s	s	PART
cana-3881	44	9	≤	≤	PROPN
cana-3881	44	10	m2	m2	PROPN
cana-3881	44	11	.	.	PUNCT
cana-3881	45	1	let	let	VERB
cana-3881	45	2	yi	yi	PROPN
cana-3881	45	3	denote	denote	VERB
cana-3881	45	4	the	the	DET
cana-3881	45	5	set	set	NOUN
cana-3881	45	6	of	of	ADP
cana-3881	45	7	vertices	vertex	NOUN
cana-3881	45	8	in	in	ADP
cana-3881	45	9	y	y	PROPN
cana-3881	45	10	that	that	PRON
cana-3881	45	11	are	be	AUX
cana-3881	45	12	adjacent	adjacent	ADJ
cana-3881	45	13	to	to	ADP
cana-3881	45	14	exactly	exactly	ADV
cana-3881	45	15	i	i	PRON
cana-3881	45	16	vertices	vertice	VERB
cana-3881	45	17	in	in	ADP
cana-3881	45	18	x	x	PUNCT
cana-3881	45	19	for	for	ADP
cana-3881	45	20	i	i	PRON
cana-3881	45	21	=	=	SYM
cana-3881	45	22	0	0	NUM
cana-3881	45	23	,	,	PUNCT
cana-3881	45	24	1	1	NUM
cana-3881	45	25	,	,	PUNCT
cana-3881	45	26	...	...	PUNCT
cana-3881	46	1	m1	m1	NOUN
cana-3881	46	2	.	.	PUNCT
cana-3881	47	1	then	then	ADV
cana-3881	47	2	,	,	PUNCT
cana-3881	47	3	in	in	ADP
cana-3881	47	4	g	g	NOUN
cana-3881	47	5	,	,	PUNCT
cana-3881	47	6	the	the	DET
cana-3881	47	7	degree	degree	NOUN
cana-3881	47	8	of	of	ADP
cana-3881	47	9	a	a	DET
cana-3881	47	10	vertex	vertex	NOUN
cana-3881	47	11	v	v	ADP
cana-3881	47	12	∈	∈	PROPN
cana-3881	47	13	yi	yi	NOUN
cana-3881	47	14	is	be	AUX
cana-3881	47	15	m2	m2	PROPN
cana-3881	47	16	−	−	PROPN
cana-3881	47	17	1	1	NUM
cana-3881	48	1	+	+	CCONJ
cana-3881	48	2	i	i	PRON
cana-3881	48	3	for	for	ADP
cana-3881	48	4	i	i	PRON
cana-3881	48	5	=	=	SYM
cana-3881	48	6	0	0	NUM
cana-3881	48	7	,	,	PUNCT
cana-3881	48	8	1	1	NUM
cana-3881	48	9	,	,	PUNCT
cana-3881	48	10	...	...	PUNCT
cana-3881	49	1	m1	m1	NOUN
cana-3881	49	2	.	.	PUNCT
cana-3881	50	1	let	let	VERB
cana-3881	50	2	k1	k1	NOUN
cana-3881	50	3	,	,	PUNCT
cana-3881	50	4	k2	k2	NOUN
cana-3881	50	5	,	,	PUNCT
cana-3881	50	6	...	...	PUNCT
cana-3881	51	1	kt	kt	AUX
cana-3881	51	2	be	be	AUX
cana-3881	51	3	integers	integer	NOUN
cana-3881	51	4	,	,	PUNCT
cana-3881	51	5	where	where	SCONJ
cana-3881	51	6	0	0	NUM
cana-3881	51	7	≤	≤	NUM
cana-3881	51	8	k1	k1	NOUN
cana-3881	51	9	<	<	X
cana-3881	51	10	k2	k2	X
cana-3881	51	11	<	<	X
cana-3881	51	12	...	...	PUNCT
cana-3881	51	13	<	<	X
cana-3881	51	14	kt	kt	PROPN
cana-3881	51	15	≤	≤	PROPN
cana-3881	51	16	m1	m1	NOUN
cana-3881	51	17	,	,	PUNCT
cana-3881	51	18	such	such	ADJ
cana-3881	51	19	that	that	SCONJ
cana-3881	51	20	yki	yki	PRON
cana-3881	51	21	≠	≠	PROPN
cana-3881	51	22	ϕ	ϕ	NOUN
cana-3881	51	23	for	for	ADP
cana-3881	51	24	all	all	DET
cana-3881	51	25	i	i	PRON
cana-3881	51	26	=	=	NOUN
cana-3881	51	27	1	1	NUM
cana-3881	51	28	,	,	PUNCT
cana-3881	51	29	2	2	NUM
cana-3881	51	30	,	,	PUNCT
cana-3881	51	31	...	...	PUNCT
cana-3881	51	32	,	,	PUNCT
cana-3881	51	33	t.	t.	PROPN
cana-3881	51	34	thus	thus	ADV
cana-3881	51	35	y	y	PROPN
cana-3881	51	36	can	can	AUX
cana-3881	51	37	be	be	AUX
cana-3881	51	38	written	write	VERB
cana-3881	51	39	as	as	ADP
cana-3881	51	40	1	1	NUM
cana-3881	51	41	t	t	NOUN
cana-3881	51	42	i	i	NOUN
cana-3881	51	43	=	=	PROPN
cana-3881	51	44	u	u	X
cana-3881	51	45	iky	iky	PROPN
cana-3881	51	46	.	.	PUNCT
cana-3881	52	1	theorem	theorem	NOUN
cana-3881	52	2	2	2	NUM
cana-3881	52	3	.	.	PUNCT
cana-3881	53	1	if	if	SCONJ
cana-3881	53	2	g	g	PROPN
cana-3881	53	3	is	be	AUX
cana-3881	53	4	a	a	DET
cana-3881	53	5	split	split	ADJ
cana-3881	53	6	graph	graph	NOUN
cana-3881	53	7	with	with	ADP
cana-3881	53	8	at	at	ADV
cana-3881	53	9	least	least	ADV
cana-3881	53	10	one	one	NUM
cana-3881	53	11	vertex	vertex	NOUN
cana-3881	53	12	of	of	ADP
cana-3881	53	13	x	x	PUNCT
cana-3881	53	14	is	be	AUX
cana-3881	53	15	adjacent	adjacent	ADJ
cana-3881	53	16	to	to	ADP
cana-3881	53	17	all	all	DET
cana-3881	53	18	the	the	DET
cana-3881	53	19	vertices	vertex	NOUN
cana-3881	53	20	of	of	ADP
cana-3881	53	21	y	y	PROPN
cana-3881	53	22	,	,	PUNCT
cana-3881	53	23	then	then	ADV
cana-3881	53	24	drn	drn	ADJ
cana-3881	53	25	(	(	PUNCT
cana-3881	53	26	g	g	NOUN
cana-3881	53	27	)	)	PUNCT
cana-3881	53	28	=	=	SYM
cana-3881	53	29	2	2	X
cana-3881	53	30	.	.	X
cana-3881	53	31	proof	proof	NOUN
cana-3881	53	32	.	.	PUNCT
cana-3881	54	1	let	let	VERB
cana-3881	54	2	us	we	PRON
cana-3881	54	3	take	take	VERB
cana-3881	54	4	x	x	PUNCT
cana-3881	54	5	=	=	PRON
cana-3881	54	6	{	{	PUNCT
cana-3881	54	7	x1	x1	PROPN
cana-3881	54	8	,	,	PUNCT
cana-3881	54	9	x2	x2	PROPN
cana-3881	54	10	...	...	PUNCT
cana-3881	54	11	x	x	PUNCT
cana-3881	54	12	1	1	NUM
cana-3881	54	13	m	m	NOUN
cana-3881	54	14	}	}	PUNCT
cana-3881	54	15	.	.	PUNCT
cana-3881	55	1	case	case	NOUN
cana-3881	55	2	1	1	NUM
cana-3881	55	3	.	.	PUNCT
cana-3881	56	1	deg	deg	PROPN
cana-3881	56	2	(	(	PUNCT
cana-3881	56	3	xs	xs	PROPN
cana-3881	56	4	)	)	PUNCT
cana-3881	57	1	=	=	SYM
cana-3881	57	2	s	s	PROPN
cana-3881	57	3	,	,	PUNCT
cana-3881	57	4	s	s	NOUN
cana-3881	57	5	≠	≠	PROPN
cana-3881	57	6	1	1	NUM
cana-3881	57	7	to	to	PART
cana-3881	57	8	m1	m1	VERB
cana-3881	57	9	−	−	PROPN
cana-3881	58	1	1	1	X
cana-3881	58	2	.	.	PUNCT
cana-3881	58	3	clearly	clearly	ADV
cana-3881	58	4	xs	xs	PROPN
cana-3881	59	1	=	=	PUNCT
cana-3881	59	2	x	x	PUNCT
cana-3881	59	3	1	1	NUM
cana-3881	59	4	m	m	NOUN
cana-3881	59	5	.	.	PUNCT
cana-3881	60	1	in	in	ADP
cana-3881	60	2	this	this	DET
cana-3881	60	3	case	case	NOUN
cana-3881	60	4	,	,	PUNCT
cana-3881	60	5	the	the	DET
cana-3881	60	6	graph	graph	NOUN
cana-3881	60	7	are	be	AUX
cana-3881	60	8	isomorphic	isomorphic	ADJ
cana-3881	60	9	to	to	ADP
cana-3881	60	10	a	a	DET
cana-3881	60	11	split	split	ADJ
cana-3881	60	12	graph	graph	NOUN
cana-3881	60	13	in	in	ADP
cana-3881	60	14	which	which	PRON
cana-3881	60	15	the	the	DET
cana-3881	60	16	vertices	vertex	NOUN
cana-3881	60	17	can	can	AUX
cana-3881	60	18	be	be	AUX
cana-3881	60	19	partition	partition	NOUN
cana-3881	60	20	into	into	ADP
cana-3881	60	21	an	an	DET
cana-3881	60	22	independent	independent	ADJ
cana-3881	60	23	set	set	NOUN
cana-3881	60	24	and	and	CCONJ
cana-3881	60	25	a	a	DET
cana-3881	60	26	clique	clique	NOUN
cana-3881	60	27	such	such	ADJ
cana-3881	60	28	that	that	SCONJ
cana-3881	60	29	all	all	DET
cana-3881	60	30	the	the	DET
cana-3881	60	31	vertices	vertex	NOUN
cana-3881	60	32	in	in	ADP
cana-3881	60	33	the	the	DET
cana-3881	60	34	independent	independent	ADJ
cana-3881	60	35	set	set	NOUN
cana-3881	60	36	have	have	VERB
cana-3881	60	37	equal	equal	ADJ
cana-3881	60	38	degree	degree	NOUN
cana-3881	60	39	,	,	PUNCT
cana-3881	60	40	then	then	ADV
cana-3881	60	41	drn	drn	ADJ
cana-3881	60	42	(	(	PUNCT
cana-3881	60	43	g	g	NOUN
cana-3881	60	44	)	)	PUNCT
cana-3881	60	45	=	=	SYM
cana-3881	61	1	2	2	NUM
cana-3881	62	1	[	[	X
cana-3881	62	2	11	11	NUM
cana-3881	62	3	]	]	PUNCT
cana-3881	62	4	.	.	PUNCT
cana-3881	63	1	case	case	NOUN
cana-3881	63	2	2	2	NUM
cana-3881	63	3	.	.	PUNCT
cana-3881	63	4	deg	deg	PROPN
cana-3881	63	5	(	(	PUNCT
cana-3881	63	6	xs	xs	PROPN
cana-3881	63	7	)	)	PUNCT
cana-3881	64	1	=	=	SYM
cana-3881	64	2	deg	deg	INTJ
cana-3881	64	3	(	(	PUNCT
cana-3881	64	4	xi	xi	PROPN
cana-3881	64	5	)	)	PUNCT
cana-3881	64	6	=	=	SYM
cana-3881	64	7	s	s	X
cana-3881	64	8	,	,	PUNCT
cana-3881	64	9	for	for	ADP
cana-3881	64	10	some	some	DET
cana-3881	64	11	i	i	PRON
cana-3881	64	12	=	=	NOUN
cana-3881	64	13	1	1	NUM
cana-3881	64	14	to	to	PART
cana-3881	64	15	m1	m1	VERB
cana-3881	64	16	−	−	PROPN
cana-3881	64	17	1	1	X
cana-3881	64	18	.	.	PUNCT
cana-3881	65	1	let	let	VERB
cana-3881	65	2	us	we	PRON
cana-3881	65	3	take	take	VERB
cana-3881	65	4	y	y	PROPN
cana-3881	65	5	∈	∈	PROPN
cana-3881	65	6	tky	tky	PROPN
cana-3881	65	7	.	.	PUNCT
cana-3881	66	1	consider	consider	VERB
cana-3881	66	2	the	the	DET
cana-3881	66	3	two	two	NUM
cana-3881	66	4	dacards	dacard	NOUN
cana-3881	66	5	(	(	PUNCT
cana-3881	66	6	tk	tk	PROPN
cana-3881	66	7	,	,	PUNCT
cana-3881	66	8	g	g	PROPN
cana-3881	66	9	−	−	PROPN
cana-3881	66	10	y	y	PROPN
cana-3881	66	11	)	)	PUNCT
cana-3881	66	12	and	and	CCONJ
cana-3881	66	13	(	(	PUNCT
cana-3881	66	14	r	r	NOUN
cana-3881	66	15	,	,	PUNCT
cana-3881	66	16	g	g	PROPN
cana-3881	66	17	−	−	PROPN
cana-3881	66	18	xr	xr	PROPN
cana-3881	66	19	)	)	PUNCT
cana-3881	66	20	.	.	PUNCT
cana-3881	67	1	it	it	PRON
cana-3881	67	2	is	be	AUX
cana-3881	67	3	clear	clear	ADJ
cana-3881	67	4	that	that	SCONJ
cana-3881	67	5	the	the	DET
cana-3881	67	6	dacard	dacard	NOUN
cana-3881	67	7	g	g	PROPN
cana-3881	67	8	−	−	PROPN
cana-3881	67	9	xr	xr	PROPN
cana-3881	67	10	has	have	VERB
cana-3881	67	11	two	two	NUM
cana-3881	67	12	partite	partite	ADJ
cana-3881	67	13	set	set	NOUN
cana-3881	67	14	such	such	ADJ
cana-3881	67	15	that	that	DET
cana-3881	67	16	one	one	NUM
cana-3881	67	17	partite	partite	ADJ
cana-3881	67	18	set	set	NOUN
cana-3881	67	19	is	be	AUX
cana-3881	67	20	clique	clique	ADJ
cana-3881	67	21	and	and	CCONJ
cana-3881	67	22	other	other	ADJ
cana-3881	67	23	partite	partite	ADJ
cana-3881	67	24	set	set	NOUN
cana-3881	67	25	has	have	VERB
cana-3881	67	26	degree	degree	NOUN
cana-3881	67	27	r	r	NOUN
cana-3881	67	28	or	or	CCONJ
cana-3881	67	29	s	s	NOUN
cana-3881	67	30	in	in	ADP
cana-3881	67	31	which	which	PRON
cana-3881	67	32	m(≥	m(≥	ADJ
cana-3881	67	33	2	2	NUM
cana-3881	67	34	say	say	NOUN
cana-3881	67	35	)	)	PUNCT
cana-3881	67	36	vertices	vertex	NOUN
cana-3881	67	37	of	of	ADP
cana-3881	67	38	degree	degree	NOUN
cana-3881	67	39	s.	s.	PROPN
cana-3881	67	40	to	to	PART
cana-3881	67	41	get	get	VERB
cana-3881	67	42	an	an	DET
cana-3881	67	43	extension	extension	NOUN
cana-3881	67	44	h	h	NOUN
cana-3881	67	45	(	(	PUNCT
cana-3881	67	46	tk	tk	PROPN
cana-3881	67	47	,	,	PUNCT
cana-3881	67	48	g−y	g−y	NOUN
cana-3881	67	49	)	)	PUNCT
cana-3881	67	50	,	,	PUNCT
cana-3881	67	51	add	add	VERB
cana-3881	67	52	a	a	DET
cana-3881	67	53	new	new	ADJ
cana-3881	67	54	vertex	vertex	NOUN
cana-3881	67	55	v	v	NOUN
cana-3881	67	56	to	to	ADP
cana-3881	67	57	the	the	DET
cana-3881	67	58	dacard	dacard	ADJ
cana-3881	67	59	g−y	g−y	NOUN
cana-3881	67	60	and	and	CCONJ
cana-3881	67	61	join	join	VERB
cana-3881	67	62	it	it	PRON
cana-3881	67	63	communications	communication	NOUN
cana-3881	67	64	on	on	ADP
cana-3881	67	65	applied	apply	VERB
cana-3881	67	66	nonlinear	nonlinear	ADJ
cana-3881	67	67	analysis	analysis	NOUN
cana-3881	67	68	issn	issn	NOUN
cana-3881	67	69	:	:	PUNCT
cana-3881	67	70	1074	1074	NUM
cana-3881	67	71	-	-	PUNCT
cana-3881	67	72	133x	133x	NUM
cana-3881	67	73	vol	vol	NOUN
cana-3881	67	74	32	32	NUM
cana-3881	67	75	no	no	NOUN
cana-3881	67	76	.	.	PUNCT
cana-3881	68	1	8s	8s	PROPN
cana-3881	68	2	(	(	PUNCT
cana-3881	68	3	2025	2025	NUM
cana-3881	68	4	)	)	PUNCT
cana-3881	68	5	890	890	NUM
cana-3881	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3881	68	7	with	with	ADP
cana-3881	68	8	precisely	precisely	ADV
cana-3881	68	9	tk	tk	PROPN
cana-3881	68	10	vertices	vertex	NOUN
cana-3881	68	11	.	.	PUNCT
cana-3881	69	1	clearly	clearly	ADV
cana-3881	69	2	g	g	PROPN
cana-3881	69	3	−	−	PROPN
cana-3881	70	1	y	y	PROPN
cana-3881	70	2	contains	contain	VERB
cana-3881	70	3	exactly	exactly	ADV
cana-3881	70	4	one	one	NUM
cana-3881	70	5	partite	partite	ADJ
cana-3881	70	6	set	set	NOUN
cana-3881	70	7	(	(	PUNCT
cana-3881	70	8	say	say	INTJ
cana-3881	70	9	z1	z1	PROPN
cana-3881	70	10	)	)	PUNCT
cana-3881	70	11	having	have	VERB
cana-3881	70	12	a	a	DET
cana-3881	70	13	clique	clique	NOUN
cana-3881	70	14	.	.	PUNCT
cana-3881	71	1	if	if	SCONJ
cana-3881	71	2	v	v	NOUN
cana-3881	71	3	were	be	AUX
cana-3881	71	4	joined	join	VERB
cana-3881	71	5	to	to	ADP
cana-3881	71	6	all	all	DET
cana-3881	71	7	the	the	DET
cana-3881	71	8	vertices	vertex	NOUN
cana-3881	71	9	in	in	ADP
cana-3881	71	10	z1	z1	NOUN
cana-3881	71	11	and	and	CCONJ
cana-3881	71	12	all	all	DET
cana-3881	71	13	the	the	DET
cana-3881	71	14	vertices	vertex	NOUN
cana-3881	71	15	of	of	ADP
cana-3881	71	16	degrees	degree	NOUN
cana-3881	71	17	r	r	NOUN
cana-3881	71	18	−	−	NOUN
cana-3881	71	19	1	1	NUM
cana-3881	71	20	and	and	CCONJ
cana-3881	71	21	s	s	AUX
cana-3881	71	22	−	−	PROPN
cana-3881	71	23	1	1	NUM
cana-3881	71	24	,	,	PUNCT
cana-3881	71	25	then	then	ADV
cana-3881	71	26	the	the	DET
cana-3881	71	27	resulting	result	VERB
cana-3881	71	28	extension	extension	NOUN
cana-3881	71	29	h	h	NOUN
cana-3881	71	30	would	would	AUX
cana-3881	71	31	be	be	AUX
cana-3881	71	32	isomorphic	isomorphic	ADJ
cana-3881	71	33	to	to	ADP
cana-3881	71	34	g.	g.	PROPN
cana-3881	71	35	otherwise	otherwise	ADV
cana-3881	71	36	,	,	PUNCT
cana-3881	71	37	in	in	ADP
cana-3881	71	38	every	every	DET
cana-3881	71	39	extension	extension	NOUN
cana-3881	71	40	h	h	NOUN
cana-3881	71	41	(	(	PUNCT
cana-3881	71	42	tk	tk	PROPN
cana-3881	71	43	,	,	PUNCT
cana-3881	71	44	g	g	PROPN
cana-3881	71	45	−	−	PROPN
cana-3881	71	46	y	y	PROPN
cana-3881	71	47	)	)	PUNCT
cana-3881	71	48	the	the	DET
cana-3881	71	49	newly	newly	ADV
cana-3881	71	50	added	add	VERB
cana-3881	71	51	vertex	vertex	NOUN
cana-3881	71	52	v	v	NOUN
cana-3881	71	53	is	be	AUX
cana-3881	71	54	joined	join	VERB
cana-3881	71	55	to	to	ADP
cana-3881	71	56	at	at	ADV
cana-3881	71	57	least	least	ADV
cana-3881	71	58	one	one	NUM
cana-3881	71	59	vertex	vertex	NOUN
cana-3881	71	60	of	of	ADP
cana-3881	71	61	degree	degree	NOUN
cana-3881	71	62	r	r	NOUN
cana-3881	71	63	or	or	CCONJ
cana-3881	71	64	s.	s.	PROPN
cana-3881	72	1	but	but	CCONJ
cana-3881	72	2	then	then	ADV
cana-3881	72	3	any	any	DET
cana-3881	72	4	r	r	NOUN
cana-3881	72	5	-vertex	-vertex	NOUN
cana-3881	72	6	deleted	delete	VERB
cana-3881	72	7	dacard	dacard	NOUN
cana-3881	72	8	of	of	ADP
cana-3881	72	9	h	h	PROPN
cana-3881	72	10	contains	contain	VERB
cana-3881	72	11	an	an	DET
cana-3881	72	12	independent	independent	ADJ
cana-3881	72	13	set	set	NOUN
cana-3881	72	14	having	have	VERB
cana-3881	72	15	a	a	DET
cana-3881	72	16	vertex	vertex	NOUN
cana-3881	72	17	of	of	ADP
cana-3881	72	18	degree	degree	NOUN
cana-3881	72	19	r	r	NOUN
cana-3881	72	20	+	+	NOUN
cana-3881	72	21	1	1	NUM
cana-3881	72	22	or	or	CCONJ
cana-3881	72	23	s	s	PRON
cana-3881	72	24	+	+	ADP
cana-3881	72	25	1	1	NUM
cana-3881	72	26	or	or	CCONJ
cana-3881	72	27	at	at	ADP
cana-3881	72	28	least	least	ADJ
cana-3881	72	29	m	m	VERB
cana-3881	72	30	+	+	ADJ
cana-3881	72	31	1	1	NUM
cana-3881	72	32	vertices	vertex	NOUN
cana-3881	72	33	of	of	ADP
cana-3881	72	34	degree	degree	NOUN
cana-3881	72	35	s	s	PART
cana-3881	72	36	or	or	CCONJ
cana-3881	72	37	two	two	NUM
cana-3881	72	38	adjacent	adjacent	ADJ
cana-3881	72	39	vertices	vertex	NOUN
cana-3881	72	40	and	and	CCONJ
cana-3881	72	41	so	so	ADV
cana-3881	72	42	it	it	PRON
cana-3881	72	43	is	be	AUX
cana-3881	72	44	not	not	PART
cana-3881	72	45	isomorphic	isomorphic	ADJ
cana-3881	72	46	to	to	ADP
cana-3881	72	47	g	g	PROPN
cana-3881	72	48	−	−	PROPN
cana-3881	73	1	xr	xr	PROPN
cana-3881	73	2	.	.	PUNCT
cana-3881	74	1	thus	thus	ADV
cana-3881	74	2	no	no	DET
cana-3881	74	3	graph	graph	NOUN
cana-3881	74	4	other	other	ADJ
cana-3881	74	5	than	than	ADP
cana-3881	74	6	g	g	PROPN
cana-3881	74	7	contains	contain	VERB
cana-3881	74	8	both	both	DET
cana-3881	74	9	the	the	DET
cana-3881	74	10	two	two	NUM
cana-3881	74	11	dacards	dacard	NOUN
cana-3881	74	12	(	(	PUNCT
cana-3881	74	13	tk	tk	PROPN
cana-3881	74	14	,	,	PUNCT
cana-3881	74	15	g	g	PROPN
cana-3881	74	16	−	−	PROPN
cana-3881	74	17	y	y	PROPN
cana-3881	74	18	)	)	PUNCT
cana-3881	74	19	and	and	CCONJ
cana-3881	74	20	(	(	PUNCT
cana-3881	74	21	r	r	NOUN
cana-3881	74	22	,	,	PUNCT
cana-3881	74	23	g	g	PROPN
cana-3881	74	24	−	−	PROPN
cana-3881	74	25	xr	xr	PROPN
cana-3881	74	26	)	)	PUNCT
cana-3881	74	27	in	in	ADP
cana-3881	74	28	its	its	PRON
cana-3881	74	29	dadeck	dadeck	NOUN
cana-3881	74	30	and	and	CCONJ
cana-3881	74	31	hence	hence	ADV
cana-3881	74	32	drn	drn	ADJ
cana-3881	74	33	(	(	PUNCT
cana-3881	74	34	g	g	NOUN
cana-3881	74	35	)	)	PUNCT
cana-3881	74	36	=	=	SYM
cana-3881	74	37	2	2	X
cana-3881	74	38	.	.	X
cana-3881	74	39	theorem	theorem	NOUN
cana-3881	74	40	3	3	NUM
cana-3881	74	41	.	.	PUNCT
cana-3881	75	1	if	if	SCONJ
cana-3881	75	2	g	g	PROPN
cana-3881	75	3	is	be	AUX
cana-3881	75	4	a	a	DET
cana-3881	75	5	split	split	ADJ
cana-3881	75	6	graph	graph	NOUN
cana-3881	75	7	with	with	ADP
cana-3881	75	8	deg	deg	PROPN
cana-3881	75	9	yi+1	yi+1	PROPN
cana-3881	76	1	=	=	X
cana-3881	76	2	deg	deg	PROPN
cana-3881	76	3	yi	yi	PROPN
cana-3881	77	1	+	+	CCONJ
cana-3881	77	2	1	1	NUM
cana-3881	77	3	for	for	ADP
cana-3881	77	4	some	some	DET
cana-3881	77	5	i	i	PROPN
cana-3881	77	6	,	,	PUNCT
cana-3881	77	7	then	then	ADV
cana-3881	77	8	drn	drn	ADJ
cana-3881	77	9	(	(	PUNCT
cana-3881	77	10	g	g	NOUN
cana-3881	77	11	)	)	PUNCT
cana-3881	77	12	=	=	SYM
cana-3881	78	1	2	2	X
cana-3881	78	2	.	.	X
cana-3881	78	3	proof	proof	NOUN
cana-3881	78	4	.	.	PUNCT
cana-3881	79	1	let	let	VERB
cana-3881	79	2	us	we	PRON
cana-3881	79	3	assume	assume	VERB
cana-3881	79	4	that	that	SCONJ
cana-3881	79	5	yp1	yp1	PRON
cana-3881	79	6	<	<	X
cana-3881	79	7	yp2	yp2	PROPN
cana-3881	79	8	<	<	X
cana-3881	79	9	...	...	PUNCT
cana-3881	80	1	<	<	X
cana-3881	80	2	kpy	kpy	PROPN
cana-3881	80	3	are	be	AUX
cana-3881	80	4	all	all	ADV
cana-3881	80	5	satisfies	satisfie	NOUN
cana-3881	80	6	our	our	PRON
cana-3881	80	7	hypothesis	hypothesis	NOUN
cana-3881	80	8	.	.	PUNCT
cana-3881	81	1	here	here	ADV
cana-3881	81	2	we	we	PRON
cana-3881	81	3	use	use	VERB
cana-3881	81	4	the	the	DET
cana-3881	81	5	two	two	NUM
cana-3881	81	6	dacards	dacard	NOUN
cana-3881	81	7	(	(	PUNCT
cana-3881	81	8	d	d	X
cana-3881	81	9	(	(	PUNCT
cana-3881	81	10	kpy	kpy	PROPN
cana-3881	81	11	)	)	PUNCT
cana-3881	81	12	,	,	PUNCT
cana-3881	81	13	g	g	PROPN
cana-3881	81	14	−	−	PROPN
cana-3881	81	15	kpy	kpy	PROPN
cana-3881	81	16	)	)	PUNCT
cana-3881	81	17	and	and	CCONJ
cana-3881	81	18	(	(	PUNCT
cana-3881	81	19	r	r	NOUN
cana-3881	81	20	,	,	PUNCT
cana-3881	81	21	g	g	PROPN
cana-3881	81	22	−	−	PROPN
cana-3881	81	23	xr	xr	PROPN
cana-3881	81	24	)	)	PUNCT
cana-3881	81	25	where	where	SCONJ
cana-3881	81	26	kpy	kpy	PROPN
cana-3881	81	27	∈	∈	PROPN
cana-3881	81	28	kpy	kpy	NOUN
cana-3881	81	29	.	.	PUNCT
cana-3881	82	1	in	in	ADP
cana-3881	82	2	g−	g−	ADJ
cana-3881	82	3	kpy	kpy	NOUN
cana-3881	82	4	,	,	PUNCT
cana-3881	82	5	exactly	exactly	ADV
cana-3881	82	6	one	one	NUM
cana-3881	82	7	partite	partite	ADJ
cana-3881	82	8	set	set	NOUN
cana-3881	82	9	contains	contain	VERB
cana-3881	82	10	x1	x1	PROPN
cana-3881	82	11	,	,	PUNCT
cana-3881	82	12	x2	x2	PROPN
cana-3881	82	13	,	,	PUNCT
cana-3881	82	14	x3	x3	ADJ
cana-3881	82	15	,	,	PUNCT
cana-3881	82	16	x4	x4	PROPN
cana-3881	82	17	vertices	vertex	NOUN
cana-3881	82	18	of	of	ADP
cana-3881	82	19	degree	degree	NOUN
cana-3881	82	20	r−	r−	PROPN
cana-3881	82	21	1	1	NUM
cana-3881	82	22	,	,	PUNCT
cana-3881	82	23	r	r	NOUN
cana-3881	82	24	,	,	PUNCT
cana-3881	82	25	s−	s−	PROPN
cana-3881	82	26	1	1	NUM
cana-3881	82	27	,	,	PUNCT
cana-3881	82	28	s	s	VERB
cana-3881	82	29	respectively	respectively	ADV
cana-3881	82	30	and	and	CCONJ
cana-3881	82	31	other	other	ADJ
cana-3881	82	32	partite	partite	ADJ
cana-3881	82	33	set	set	NOUN
cana-3881	82	34	form	form	VERB
cana-3881	82	35	a	a	DET
cana-3881	82	36	clique	clique	NOUN
cana-3881	82	37	.	.	PUNCT
cana-3881	83	1	in	in	ADP
cana-3881	83	2	g	g	PROPN
cana-3881	83	3	−	−	PROPN
cana-3881	83	4	xr	xr	PROPN
cana-3881	83	5	,	,	PUNCT
cana-3881	83	6	exactly	exactly	ADV
cana-3881	83	7	one	one	NUM
cana-3881	83	8	independent	independent	ADJ
cana-3881	83	9	partite	partite	ADJ
cana-3881	83	10	set	set	NOUN
cana-3881	83	11	is	be	AUX
cana-3881	83	12	(	(	PUNCT
cana-3881	83	13	r	r	NOUN
cana-3881	83	14	,	,	PUNCT
cana-3881	83	15	s	s	NOUN
cana-3881	83	16	)	)	PUNCT
cana-3881	83	17	-regular	-regular	ADJ
cana-3881	83	18	.	.	PUNCT
cana-3881	84	1	now	now	ADV
cana-3881	84	2	we	we	PRON
cana-3881	84	3	consider	consider	VERB
cana-3881	84	4	the	the	DET
cana-3881	84	5	extension	extension	NOUN
cana-3881	84	6	of	of	ADP
cana-3881	84	7	h	h	NOUN
cana-3881	84	8	(	(	PUNCT
cana-3881	84	9	d	d	X
cana-3881	84	10	(	(	PUNCT
cana-3881	84	11	kpy	kpy	PROPN
cana-3881	84	12	)	)	PUNCT
cana-3881	84	13	,	,	PUNCT
cana-3881	84	14	g	g	PROPN
cana-3881	84	15	−	−	PROPN
cana-3881	84	16	kpy	kpy	PROPN
cana-3881	84	17	)	)	PUNCT
cana-3881	84	18	,	,	PUNCT
cana-3881	84	19	add	add	VERB
cana-3881	84	20	a	a	DET
cana-3881	84	21	new	new	ADJ
cana-3881	84	22	vertex	vertex	NOUN
cana-3881	84	23	v	v	NOUN
cana-3881	84	24	to	to	ADP
cana-3881	84	25	the	the	DET
cana-3881	84	26	dacard	dacard	NOUN
cana-3881	84	27	g	g	PROPN
cana-3881	84	28	−	−	PROPN
cana-3881	84	29	kpy	kpy	NOUN
cana-3881	84	30	and	and	CCONJ
cana-3881	84	31	join	join	VERB
cana-3881	84	32	it	it	PRON
cana-3881	84	33	with	with	ADP
cana-3881	84	34	precisely	precisely	ADV
cana-3881	84	35	d	d	NOUN
cana-3881	84	36	(	(	PUNCT
cana-3881	84	37	kpy	kpy	PROPN
cana-3881	84	38	)	)	PUNCT
cana-3881	84	39	vertices	vertex	NOUN
cana-3881	84	40	.	.	PUNCT
cana-3881	85	1	clearly	clearly	ADV
cana-3881	85	2	g	g	PROPN
cana-3881	85	3	−	−	PROPN
cana-3881	85	4	kpy	kpy	NOUN
cana-3881	85	5	contains	contain	VERB
cana-3881	85	6	exactly	exactly	ADV
cana-3881	85	7	one	one	NUM
cana-3881	85	8	partite	partite	ADJ
cana-3881	85	9	set	set	NOUN
cana-3881	85	10	(	(	PUNCT
cana-3881	85	11	say	say	INTJ
cana-3881	85	12	z1	z1	PROPN
cana-3881	85	13	)	)	PUNCT
cana-3881	85	14	having	have	VERB
cana-3881	85	15	a	a	DET
cana-3881	85	16	clique	clique	NOUN
cana-3881	85	17	.	.	PUNCT
cana-3881	86	1	if	if	SCONJ
cana-3881	86	2	v	v	NOUN
cana-3881	86	3	were	be	AUX
cana-3881	86	4	joined	join	VERB
cana-3881	86	5	to	to	ADP
cana-3881	86	6	all	all	DET
cana-3881	86	7	the	the	DET
cana-3881	86	8	vertices	vertex	NOUN
cana-3881	86	9	in	in	ADP
cana-3881	86	10	z1	z1	NOUN
cana-3881	86	11	and	and	CCONJ
cana-3881	86	12	all	all	DET
cana-3881	86	13	the	the	DET
cana-3881	86	14	vertices	vertex	NOUN
cana-3881	86	15	of	of	ADP
cana-3881	86	16	degrees	degree	NOUN
cana-3881	86	17	r	r	NOUN
cana-3881	86	18	−	−	NOUN
cana-3881	86	19	1	1	NUM
cana-3881	86	20	and	and	CCONJ
cana-3881	86	21	s	s	AUX
cana-3881	86	22	−	−	PROPN
cana-3881	86	23	1	1	NUM
cana-3881	86	24	,	,	PUNCT
cana-3881	86	25	then	then	ADV
cana-3881	86	26	the	the	DET
cana-3881	86	27	resulting	result	VERB
cana-3881	86	28	extension	extension	NOUN
cana-3881	86	29	h	h	NOUN
cana-3881	86	30	would	would	AUX
cana-3881	86	31	be	be	AUX
cana-3881	86	32	isomorphic	isomorphic	ADJ
cana-3881	86	33	to	to	ADP
cana-3881	86	34	g.	g.	PROPN
cana-3881	86	35	otherwise	otherwise	ADV
cana-3881	86	36	,	,	PUNCT
cana-3881	86	37	in	in	SCONJ
cana-3881	86	38	every	every	DET
cana-3881	86	39	extension	extension	NOUN
cana-3881	86	40	h	h	NOUN
cana-3881	86	41	(	(	PUNCT
cana-3881	86	42	d	d	X
cana-3881	86	43	(	(	PUNCT
cana-3881	86	44	kpy	kpy	PROPN
cana-3881	86	45	)	)	PUNCT
cana-3881	86	46	,	,	PUNCT
cana-3881	86	47	g−	g−	ADJ
cana-3881	86	48	kpy	kpy	NOUN
cana-3881	86	49	)	)	PUNCT
cana-3881	86	50	the	the	DET
cana-3881	86	51	newly	newly	ADV
cana-3881	86	52	added	add	VERB
cana-3881	86	53	vertex	vertex	NOUN
cana-3881	86	54	v	v	NOUN
cana-3881	86	55	is	be	AUX
cana-3881	86	56	joined	join	VERB
cana-3881	86	57	to	to	ADP
cana-3881	86	58	at	at	ADV
cana-3881	86	59	least	least	ADV
cana-3881	86	60	one	one	NUM
cana-3881	86	61	vertex	vertex	NOUN
cana-3881	86	62	of	of	ADP
cana-3881	86	63	degree	degree	NOUN
cana-3881	86	64	r	r	NOUN
cana-3881	86	65	or	or	CCONJ
cana-3881	86	66	s.	s.	PROPN
cana-3881	87	1	but	but	CCONJ
cana-3881	87	2	then	then	ADV
cana-3881	87	3	any	any	DET
cana-3881	87	4	r	r	NOUN
cana-3881	87	5	-vertex	-vertex	NOUN
cana-3881	87	6	deleted	delete	VERB
cana-3881	87	7	dacard	dacard	NOUN
cana-3881	87	8	of	of	ADP
cana-3881	87	9	h	h	PROPN
cana-3881	87	10	contains	contain	VERB
cana-3881	87	11	an	an	DET
cana-3881	87	12	independent	independent	ADJ
cana-3881	87	13	set	set	NOUN
cana-3881	87	14	having	have	VERB
cana-3881	87	15	a	a	DET
cana-3881	87	16	vertex	vertex	NOUN
cana-3881	87	17	of	of	ADP
cana-3881	87	18	degree	degree	NOUN
cana-3881	87	19	r	r	NOUN
cana-3881	87	20	+	+	NOUN
cana-3881	87	21	1	1	NUM
cana-3881	87	22	or	or	CCONJ
cana-3881	87	23	s	s	PRON
cana-3881	87	24	+	+	CCONJ
cana-3881	87	25	1	1	NUM
cana-3881	88	1	and	and	CCONJ
cana-3881	88	2	so	so	ADV
cana-3881	88	3	it	it	PRON
cana-3881	88	4	is	be	AUX
cana-3881	88	5	not	not	PART
cana-3881	88	6	isomorphic	isomorphic	ADJ
cana-3881	88	7	to	to	AUX
cana-3881	88	8	g−xr	g−xr	PROPN
cana-3881	88	9	.	.	PUNCT
cana-3881	89	1	thus	thus	ADV
cana-3881	89	2	no	no	DET
cana-3881	89	3	graph	graph	NOUN
cana-3881	89	4	other	other	ADJ
cana-3881	89	5	than	than	ADP
cana-3881	89	6	g	g	PROPN
cana-3881	89	7	contains	contain	VERB
cana-3881	89	8	both	both	PRON
cana-3881	89	9	the	the	DET
cana-3881	89	10	two	two	NUM
cana-3881	89	11	dacards	dacard	NOUN
cana-3881	89	12	(	(	PUNCT
cana-3881	89	13	d	d	X
cana-3881	89	14	(	(	PUNCT
cana-3881	89	15	kpy	kpy	PROPN
cana-3881	89	16	)	)	PUNCT
cana-3881	89	17	,	,	PUNCT
cana-3881	89	18	g−	g−	ADJ
cana-3881	89	19	kpy	kpy	NOUN
cana-3881	89	20	)	)	PUNCT
cana-3881	89	21	and	and	CCONJ
cana-3881	89	22	(	(	PUNCT
cana-3881	89	23	r	r	NOUN
cana-3881	89	24	,	,	PUNCT
cana-3881	89	25	g−xr	g−xr	PROPN
cana-3881	89	26	)	)	PUNCT
cana-3881	89	27	in	in	ADP
cana-3881	89	28	its	its	PRON
cana-3881	89	29	dadeck	dadeck	NOUN
cana-3881	89	30	and	and	CCONJ
cana-3881	89	31	hence	hence	ADV
cana-3881	89	32	drn	drn	ADJ
cana-3881	89	33	(	(	PUNCT
cana-3881	89	34	g	g	NOUN
cana-3881	89	35	)	)	PUNCT
cana-3881	89	36	=	=	SYM
cana-3881	89	37	2	2	X
cana-3881	89	38	.	.	X
cana-3881	89	39	theorem	theorem	NOUN
cana-3881	89	40	4	4	NUM
cana-3881	89	41	.	.	PUNCT
cana-3881	90	1	if	if	SCONJ
cana-3881	90	2	g	g	PROPN
cana-3881	90	3	is	be	AUX
cana-3881	90	4	a	a	DET
cana-3881	90	5	split	split	ADJ
cana-3881	90	6	graph	graph	NOUN
cana-3881	90	7	with	with	ADP
cana-3881	90	8	at	at	ADV
cana-3881	90	9	least	least	ADV
cana-3881	90	10	one	one	NUM
cana-3881	90	11	vertex	vertex	NOUN
cana-3881	90	12	of	of	ADP
cana-3881	90	13	x	x	NOUN
cana-3881	90	14	is	be	AUX
cana-3881	90	15	not	not	PART
cana-3881	90	16	adjacent	adjacent	ADJ
cana-3881	90	17	to	to	ADP
cana-3881	90	18	exactly	exactly	ADV
cana-3881	90	19	one	one	NUM
cana-3881	90	20	vertex	vertex	NOUN
cana-3881	90	21	of	of	ADP
cana-3881	90	22	y	y	PROPN
cana-3881	90	23	,	,	PUNCT
cana-3881	90	24	then	then	ADV
cana-3881	90	25	drn	drn	ADJ
cana-3881	90	26	(	(	PUNCT
cana-3881	90	27	g	g	NOUN
cana-3881	90	28	)	)	PUNCT
cana-3881	90	29	=	=	SYM
cana-3881	90	30	2	2	X
cana-3881	90	31	.	.	PUNCT
cana-3881	90	32	proof	proof	NOUN
cana-3881	90	33	.	.	PUNCT
cana-3881	91	1	the	the	DET
cana-3881	91	2	graph	graph	NOUN
cana-3881	91	3	g	g	PROPN
cana-3881	91	4	is	be	AUX
cana-3881	91	5	clearly	clearly	ADV
cana-3881	91	6	connected	connect	VERB
cana-3881	91	7	.	.	PUNCT
cana-3881	92	1	let	let	VERB
cana-3881	92	2	z	z	NOUN
cana-3881	92	3	be	be	AUX
cana-3881	92	4	the	the	DET
cana-3881	92	5	vertex	vertex	NOUN
cana-3881	92	6	adjacent	adjacent	ADJ
cana-3881	92	7	to	to	ADP
cana-3881	92	8	all	all	DET
cana-3881	92	9	the	the	DET
cana-3881	92	10	vertices	vertex	NOUN
cana-3881	92	11	except	except	SCONJ
cana-3881	92	12	one	one	NUM
cana-3881	92	13	vertex	vertex	NOUN
cana-3881	92	14	(	(	PUNCT
cana-3881	92	15	say	say	VERB
cana-3881	92	16	y1	y1	INTJ
cana-3881	92	17	)	)	PUNCT
cana-3881	92	18	in	in	ADP
cana-3881	92	19	the	the	DET
cana-3881	92	20	other	other	ADJ
cana-3881	92	21	partite	partite	ADJ
cana-3881	92	22	set	set	NOUN
cana-3881	92	23	y	y	PROPN
cana-3881	92	24	of	of	ADP
cana-3881	92	25	g.	g.	PROPN
cana-3881	92	26	clearly	clearly	ADV
cana-3881	92	27	deg	deg	VERB
cana-3881	92	28	z	z	PROPN
cana-3881	93	1	=	=	SYM
cana-3881	93	2	m2	m2	PROPN
cana-3881	94	1	−	−	PROPN
cana-3881	94	2	1	1	X
cana-3881	94	3	.	.	PUNCT
cana-3881	95	1	let	let	VERB
cana-3881	95	2	us	we	PRON
cana-3881	95	3	take	take	VERB
cana-3881	95	4	deg	deg	NOUN
cana-3881	95	5	y1	y1	PROPN
cana-3881	95	6	=	=	SYM
cana-3881	95	7	n1	n1	PROPN
cana-3881	95	8	.	.	PUNCT
cana-3881	96	1	consider	consider	VERB
cana-3881	96	2	the	the	DET
cana-3881	96	3	two	two	NUM
cana-3881	96	4	dacards	dacard	NOUN
cana-3881	96	5	(	(	PUNCT
cana-3881	96	6	r	r	NOUN
cana-3881	96	7	,	,	PUNCT
cana-3881	96	8	g	g	PROPN
cana-3881	96	9	−	−	PROPN
cana-3881	96	10	xr	xr	PROPN
cana-3881	96	11	)	)	PUNCT
cana-3881	96	12	and	and	CCONJ
cana-3881	96	13	(	(	PUNCT
cana-3881	96	14	n1	n1	NOUN
cana-3881	96	15	,	,	PUNCT
cana-3881	96	16	g	g	PROPN
cana-3881	96	17	−	−	PROPN
cana-3881	96	18	y1	y1	PROPN
cana-3881	96	19	)	)	PUNCT
cana-3881	96	20	.	.	PUNCT
cana-3881	97	1	it	it	PRON
cana-3881	97	2	is	be	AUX
cana-3881	97	3	clear	clear	ADJ
cana-3881	97	4	that	that	SCONJ
cana-3881	97	5	the	the	DET
cana-3881	97	6	dacard	dacard	NOUN
cana-3881	97	7	g	g	PROPN
cana-3881	97	8	−	−	PROPN
cana-3881	97	9	y1	y1	NOUN
cana-3881	97	10	has	have	VERB
cana-3881	97	11	m	m	PROPN
cana-3881	97	12	(	(	PUNCT
cana-3881	97	13	≥	≥	NOUN
cana-3881	97	14	1	1	NUM
cana-3881	97	15	say	say	NOUN
cana-3881	97	16	)	)	PUNCT
cana-3881	97	17	vertices	vertex	NOUN
cana-3881	97	18	of	of	ADP
cana-3881	97	19	degree	degree	NOUN
cana-3881	97	20	m2	m2	PROPN
cana-3881	97	21	−	−	PROPN
cana-3881	97	22	1	1	NUM
cana-3881	97	23	and	and	CCONJ
cana-3881	97	24	degree	degree	NOUN
cana-3881	97	25	of	of	ADP
cana-3881	97	26	a	a	DET
cana-3881	97	27	vertex	vertex	NOUN
cana-3881	97	28	y	y	PROPN
cana-3881	97	29	∈	∈	PROPN
cana-3881	97	30	yi	yi	PROPN
cana-3881	97	31	is	be	AUX
cana-3881	97	32	m2	m2	PROPN
cana-3881	97	33	−	−	PROPN
cana-3881	97	34	1	1	NUM
cana-3881	98	1	+	+	CCONJ
cana-3881	98	2	i	i	PRON
cana-3881	98	3	−	−	VERB
cana-3881	98	4	1	1	NUM
cana-3881	98	5	for	for	ADP
cana-3881	98	6	i	i	PRON
cana-3881	98	7	=	=	NOUN
cana-3881	98	8	0	0	NUM
cana-3881	99	1	to	to	ADP
cana-3881	99	2	m1	m1	PROPN
cana-3881	99	3	.	.	PUNCT
cana-3881	100	1	to	to	PART
cana-3881	100	2	get	get	VERB
cana-3881	100	3	an	an	DET
cana-3881	100	4	extension	extension	NOUN
cana-3881	100	5	h(r	h(r	NOUN
cana-3881	100	6	,	,	PUNCT
cana-3881	100	7	g	g	PROPN
cana-3881	100	8	−	−	PROPN
cana-3881	100	9	xr	xr	PROPN
cana-3881	100	10	)	)	PUNCT
cana-3881	100	11	,	,	PUNCT
cana-3881	100	12	add	add	VERB
cana-3881	100	13	a	a	DET
cana-3881	100	14	new	new	ADJ
cana-3881	100	15	vertex	vertex	NOUN
cana-3881	100	16	v	v	NOUN
cana-3881	100	17	to	to	ADP
cana-3881	100	18	the	the	DET
cana-3881	100	19	dacard	dacard	NOUN
cana-3881	100	20	g	g	PROPN
cana-3881	100	21	−	−	PROPN
cana-3881	100	22	xr	xr	PROPN
cana-3881	100	23	and	and	CCONJ
cana-3881	100	24	join	join	VERB
cana-3881	100	25	it	it	PRON
cana-3881	100	26	with	with	ADP
cana-3881	100	27	precisely	precisely	ADV
cana-3881	100	28	r	r	NOUN
cana-3881	100	29	vertices	vertex	NOUN
cana-3881	100	30	.	.	PUNCT
cana-3881	101	1	here	here	ADV
cana-3881	101	2	,	,	PUNCT
cana-3881	101	3	g	g	PROPN
cana-3881	101	4	−	−	PROPN
cana-3881	101	5	xr	xr	PROPN
cana-3881	101	6	contains	contain	VERB
cana-3881	101	7	at	at	ADV
cana-3881	101	8	least	least	ADJ
cana-3881	101	9	one	one	NUM
cana-3881	101	10	(	(	PUNCT
cana-3881	101	11	m2	m2	PROPN
cana-3881	101	12	−	−	PROPN
cana-3881	101	13	1	1	NUM
cana-3881	101	14	)	)	PUNCT
cana-3881	101	15	-vertex	-vertex	PROPN
cana-3881	101	16	,	,	PUNCT
cana-3881	101	17	say	say	VERB
cana-3881	101	18	z1	z1	NOUN
cana-3881	101	19	and	and	CCONJ
cana-3881	101	20	a	a	DET
cana-3881	101	21	vertex	vertex	NOUN
cana-3881	101	22	,	,	PUNCT
cana-3881	101	23	say	say	VERB
cana-3881	101	24	z2	z2	PROPN
cana-3881	101	25	of	of	ADP
cana-3881	101	26	degree	degree	NOUN
cana-3881	101	27	m2	m2	PROPN
cana-3881	101	28	−	−	PROPN
cana-3881	101	29	1	1	NUM
cana-3881	101	30	+	+	CCONJ
cana-3881	101	31	k	k	X
cana-3881	101	32	(	(	PUNCT
cana-3881	101	33	k	k	PROPN
cana-3881	101	34	is	be	AUX
cana-3881	101	35	maximum	maximum	ADJ
cana-3881	101	36	)	)	PUNCT
cana-3881	101	37	which	which	PRON
cana-3881	101	38	is	be	AUX
cana-3881	101	39	non	non	ADJ
cana-3881	101	40	adjacent	adjacent	ADJ
cana-3881	101	41	to	to	ADP
cana-3881	101	42	z1	z1	PROPN
cana-3881	101	43	but	but	CCONJ
cana-3881	101	44	adjacent	adjacent	ADJ
cana-3881	101	45	to	to	ADP
cana-3881	101	46	all	all	DET
cana-3881	101	47	the	the	DET
cana-3881	101	48	neighbours	neighbour	NOUN
cana-3881	101	49	of	of	ADP
cana-3881	101	50	z1	z1	PROPN
cana-3881	101	51	.	.	PUNCT
cana-3881	102	1	the	the	DET
cana-3881	102	2	vertex	vertex	PROPN
cana-3881	102	3	z2	z2	PROPN
cana-3881	102	4	and	and	CCONJ
cana-3881	102	5	all	all	DET
cana-3881	102	6	the	the	DET
cana-3881	102	7	neighbours	neighbour	NOUN
cana-3881	102	8	of	of	ADP
cana-3881	102	9	z1	z1	PROPN
cana-3881	102	10	form	form	VERB
cana-3881	102	11	a	a	DET
cana-3881	102	12	clique	clique	NOUN
cana-3881	102	13	such	such	ADJ
cana-3881	102	14	that	that	SCONJ
cana-3881	102	15	exactly	exactly	ADV
cana-3881	102	16	r	r	NOUN
cana-3881	102	17	vertices	vertex	NOUN
cana-3881	102	18	of	of	ADP
cana-3881	102	19	degree	degree	NOUN
cana-3881	102	20	m2	m2	PROPN
cana-3881	102	21	−	−	PROPN
cana-3881	102	22	1	1	NUM
cana-3881	103	1	+	+	CCONJ
cana-3881	103	2	i	i	PRON
cana-3881	103	3	−	−	VERB
cana-3881	103	4	1	1	NUM
cana-3881	103	5	for	for	ADP
cana-3881	103	6	i	i	PRON
cana-3881	103	7	=	=	NOUN
cana-3881	103	8	1	1	NUM
cana-3881	103	9	to	to	ADP
cana-3881	103	10	m1	m1	PROPN
cana-3881	103	11	.	.	PUNCT
cana-3881	104	1	if	if	SCONJ
cana-3881	104	2	v	v	NOUN
cana-3881	104	3	were	be	AUX
cana-3881	104	4	joined	join	VERB
cana-3881	104	5	to	to	ADP
cana-3881	104	6	z2	z2	PROPN
cana-3881	104	7	and	and	CCONJ
cana-3881	104	8	n	n	PROPN
cana-3881	104	9	(	(	PUNCT
cana-3881	104	10	z1	z1	PROPN
cana-3881	104	11	)	)	PUNCT
cana-3881	104	12	,	,	PUNCT
cana-3881	104	13	then	then	ADV
cana-3881	104	14	the	the	DET
cana-3881	104	15	resulting	result	VERB
cana-3881	104	16	extension	extension	NOUN
cana-3881	104	17	h	h	NOUN
cana-3881	104	18	would	would	AUX
cana-3881	104	19	be	be	AUX
cana-3881	104	20	isomorphic	isomorphic	ADJ
cana-3881	104	21	to	to	ADP
cana-3881	104	22	g.	g.	PROPN
cana-3881	104	23	otherwise	otherwise	ADV
cana-3881	104	24	,	,	PUNCT
cana-3881	104	25	in	in	ADP
cana-3881	104	26	every	every	DET
cana-3881	104	27	extension	extension	NOUN
cana-3881	104	28	h	h	NOUN
cana-3881	104	29	,	,	PUNCT
cana-3881	104	30	the	the	DET
cana-3881	104	31	newly	newly	ADV
cana-3881	104	32	added	add	VERB
cana-3881	104	33	vertex	vertex	NOUN
cana-3881	104	34	v	v	NOUN
cana-3881	104	35	is	be	AUX
cana-3881	104	36	joined	join	VERB
cana-3881	104	37	to	to	ADP
cana-3881	104	38	at	at	ADV
cana-3881	104	39	least	least	ADV
cana-3881	104	40	one	one	NUM
cana-3881	104	41	vertex	vertex	NOUN
cana-3881	104	42	not	not	PART
cana-3881	104	43	in	in	ADP
cana-3881	104	44	n	n	PROPN
cana-3881	104	45	(	(	PUNCT
cana-3881	104	46	z1	z1	PROPN
cana-3881	104	47	)	)	PUNCT
cana-3881	104	48	and	and	CCONJ
cana-3881	104	49	z2	z2	PROPN
cana-3881	104	50	but	but	CCONJ
cana-3881	104	51	then	then	ADV
cana-3881	104	52	any	any	DET
cana-3881	104	53	n1	n1	ADJ
cana-3881	104	54	-vertex	-vertex	PROPN
cana-3881	104	55	deleted	delete	VERB
cana-3881	104	56	dacard	dacard	NOUN
cana-3881	104	57	of	of	ADP
cana-3881	104	58	h	h	NOUN
cana-3881	104	59	contains	contain	VERB
cana-3881	104	60	at	at	ADP
cana-3881	104	61	most	most	ADJ
cana-3881	104	62	m−	m−	PROPN
cana-3881	104	63	1	1	NUM
cana-3881	104	64	vertices	vertex	NOUN
cana-3881	104	65	of	of	ADP
cana-3881	104	66	degree	degree	NOUN
cana-3881	104	67	m2	m2	PROPN
cana-3881	104	68	−	−	PROPN
cana-3881	104	69	1	1	NUM
cana-3881	104	70	or	or	CCONJ
cana-3881	104	71	degree	degree	NOUN
cana-3881	104	72	of	of	ADP
cana-3881	104	73	at	at	ADV
cana-3881	104	74	least	least	ADV
cana-3881	104	75	one	one	NUM
cana-3881	104	76	vertex	vertex	NOUN
cana-3881	104	77	y	y	PROPN
cana-3881	104	78	∈	∈	PROPN
cana-3881	104	79	yi	yi	PROPN
cana-3881	104	80	is	be	AUX
cana-3881	104	81	m2	m2	PROPN
cana-3881	104	82	+	+	PROPN
cana-3881	104	83	i−	i−	PROPN
cana-3881	104	84	3	3	NUM
cana-3881	104	85	for	for	ADP
cana-3881	104	86	some	some	DET
cana-3881	104	87	i.	i.	NOUN
cana-3881	104	88	thus	thus	ADV
cana-3881	104	89	no	no	DET
cana-3881	104	90	graph	graph	NOUN
cana-3881	104	91	other	other	ADJ
cana-3881	104	92	than	than	ADP
cana-3881	104	93	g	g	PROPN
cana-3881	104	94	contains	contain	VERB
cana-3881	104	95	both	both	PRON
cana-3881	104	96	the	the	DET
cana-3881	104	97	two	two	NUM
cana-3881	104	98	dacards	dacard	NOUN
cana-3881	104	99	(	(	PUNCT
cana-3881	104	100	r	r	NOUN
cana-3881	104	101	,	,	PUNCT
cana-3881	104	102	g	g	PROPN
cana-3881	104	103	−	−	PROPN
cana-3881	104	104	xr	xr	PROPN
cana-3881	104	105	)	)	PUNCT
cana-3881	104	106	and	and	CCONJ
cana-3881	104	107	(	(	PUNCT
cana-3881	104	108	n1	n1	NOUN
cana-3881	104	109	,	,	PUNCT
cana-3881	104	110	g	g	PROPN
cana-3881	104	111	−	−	PROPN
cana-3881	104	112	y1	y1	PROPN
cana-3881	104	113	)	)	PUNCT
cana-3881	104	114	in	in	ADP
cana-3881	104	115	its	its	PRON
cana-3881	104	116	dadeck	dadeck	NOUN
cana-3881	104	117	and	and	CCONJ
cana-3881	104	118	hence	hence	ADV
cana-3881	104	119	drn	drn	ADJ
cana-3881	104	120	(	(	PUNCT
cana-3881	104	121	g	g	NOUN
cana-3881	104	122	)	)	PUNCT
cana-3881	104	123	=	=	SYM
cana-3881	105	1	2	2	X
cana-3881	105	2	.	.	X
cana-3881	105	3	theorem	theorem	NOUN
cana-3881	105	4	5	5	NUM
cana-3881	105	5	.	.	PUNCT
cana-3881	106	1	if	if	SCONJ
cana-3881	106	2	g	g	PROPN
cana-3881	106	3	is	be	AUX
cana-3881	106	4	a	a	DET
cana-3881	106	5	split	split	ADJ
cana-3881	106	6	graph	graph	NOUN
cana-3881	106	7	with	with	ADP
cana-3881	106	8	at	at	ADV
cana-3881	106	9	least	least	ADV
cana-3881	106	10	one	one	NUM
cana-3881	106	11	vertex	vertex	NOUN
cana-3881	106	12	of	of	ADP
cana-3881	106	13	y	y	PROPN
cana-3881	106	14	is	be	AUX
cana-3881	106	15	not	not	PART
cana-3881	106	16	adjacent	adjacent	ADJ
cana-3881	106	17	to	to	ADP
cana-3881	106	18	all	all	DET
cana-3881	106	19	the	the	DET
cana-3881	106	20	vertices	vertex	NOUN
cana-3881	106	21	of	of	ADP
cana-3881	106	22	x	x	PRON
cana-3881	106	23	,	,	PUNCT
cana-3881	106	24	then	then	ADV
cana-3881	106	25	drn	drn	ADJ
cana-3881	106	26	(	(	PUNCT
cana-3881	106	27	g	g	NOUN
cana-3881	106	28	)	)	PUNCT
cana-3881	106	29	=	=	SYM
cana-3881	106	30	2	2	X
cana-3881	106	31	.	.	X
cana-3881	106	32	proof	proof	NOUN
cana-3881	106	33	.	.	PUNCT
cana-3881	107	1	let	let	VERB
cana-3881	107	2	y	y	PRON
cana-3881	107	3	be	be	AUX
cana-3881	107	4	a	a	DET
cana-3881	107	5	vertex	vertex	NOUN
cana-3881	107	6	non	non	X
cana-3881	107	7	adjacent	adjacent	ADJ
cana-3881	107	8	to	to	ADP
cana-3881	107	9	the	the	DET
cana-3881	107	10	vertices	vertex	NOUN
cana-3881	107	11	of	of	ADP
cana-3881	107	12	x	x	PUNCT
cana-3881	107	13	and	and	CCONJ
cana-3881	107	14	x	x	ADJ
cana-3881	107	15	be	be	AUX
cana-3881	107	16	a	a	DET
cana-3881	107	17	vertex	vertex	NOUN
cana-3881	107	18	of	of	ADP
cana-3881	107	19	degree	degree	NOUN
cana-3881	107	20	s.	s.	PROPN
cana-3881	107	21	clearly	clearly	ADV
cana-3881	107	22	deg	deg	VERB
cana-3881	107	23	y	y	PROPN
cana-3881	107	24	=	=	PROPN
cana-3881	107	25	m2	m2	PROPN
cana-3881	108	1	−	−	PROPN
cana-3881	108	2	1	1	NUM
cana-3881	108	3	and	and	CCONJ
cana-3881	108	4	s	s	PRON
cana-3881	108	5	≤	≤	NUM
cana-3881	108	6	m2	m2	PROPN
cana-3881	108	7	−	−	PROPN
cana-3881	108	8	2	2	X
cana-3881	108	9	.	.	PUNCT
cana-3881	108	10	case	case	NOUN
cana-3881	108	11	1	1	NUM
cana-3881	108	12	.	.	PUNCT
cana-3881	108	13	s	s	PART
cana-3881	108	14			PROPN
cana-3881	108	15	m2	m2	PROPN
cana-3881	108	16	−	−	PROPN
cana-3881	108	17	2	2	NUM
cana-3881	108	18	.	.	PUNCT
cana-3881	109	1	here	here	ADV
cana-3881	109	2	we	we	PRON
cana-3881	109	3	use	use	VERB
cana-3881	109	4	the	the	DET
cana-3881	109	5	two	two	NUM
cana-3881	109	6	dacards	dacard	NOUN
cana-3881	109	7	(	(	PUNCT
cana-3881	109	8	s	s	NOUN
cana-3881	109	9	,	,	PUNCT
cana-3881	109	10	g−x	g−x	NOUN
cana-3881	109	11	s	s	PART
cana-3881	109	12	)	)	PUNCT
cana-3881	109	13	and	and	CCONJ
cana-3881	109	14	(	(	PUNCT
cana-3881	109	15	m2	m2	PROPN
cana-3881	109	16	−	−	PROPN
cana-3881	109	17	1	1	NUM
cana-3881	109	18	,	,	PUNCT
cana-3881	109	19	g−y	g−y	NOUN
cana-3881	109	20	)	)	PUNCT
cana-3881	109	21	.	.	PUNCT
cana-3881	110	1	in	in	ADP
cana-3881	110	2	g−y	g−y	NOUN
cana-3881	110	3	,	,	PUNCT
cana-3881	110	4	exactly	exactly	ADV
cana-3881	110	5	one	one	NUM
cana-3881	110	6	partite	partite	ADJ
cana-3881	110	7	set	set	NOUN
cana-3881	110	8	is	be	AUX
cana-3881	110	9	(	(	PUNCT
cana-3881	110	10	r	r	NOUN
cana-3881	110	11	,	,	PUNCT
cana-3881	110	12	s	s	NOUN
cana-3881	110	13	)	)	PUNCT
cana-3881	110	14	-regular	-regular	ADJ
cana-3881	110	15	and	and	CCONJ
cana-3881	110	16	communications	communication	NOUN
cana-3881	110	17	on	on	ADP
cana-3881	110	18	applied	apply	VERB
cana-3881	110	19	nonlinear	nonlinear	ADJ
cana-3881	110	20	analysis	analysis	NOUN
cana-3881	110	21	issn	issn	NOUN
cana-3881	110	22	:	:	PUNCT
cana-3881	110	23	1074	1074	NUM
cana-3881	110	24	-	-	PUNCT
cana-3881	110	25	133x	133x	NUM
cana-3881	110	26	vol	vol	NOUN
cana-3881	110	27	32	32	NUM
cana-3881	110	28	no	no	NOUN
cana-3881	110	29	.	.	PUNCT
cana-3881	111	1	8s	8s	PROPN
cana-3881	111	2	(	(	PUNCT
cana-3881	111	3	2025	2025	NUM
cana-3881	111	4	)	)	PUNCT
cana-3881	111	5	891	891	NUM
cana-3881	111	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3881	111	7	degree	degree	NOUN
cana-3881	111	8	of	of	ADP
cana-3881	111	9	all	all	DET
cana-3881	111	10	vertices	vertex	NOUN
cana-3881	111	11	y	y	PROPN
cana-3881	111	12	∈	∈	PROPN
cana-3881	111	13	yi	yi	PROPN
cana-3881	111	14	of	of	ADP
cana-3881	111	15	other	other	ADJ
cana-3881	111	16	partite	partite	ADJ
cana-3881	111	17	set	set	NOUN
cana-3881	111	18	is	be	AUX
cana-3881	111	19	m2	m2	PROPN
cana-3881	111	20	−	−	PROPN
cana-3881	111	21	1	1	NUM
cana-3881	112	1	+	+	CCONJ
cana-3881	112	2	i	i	PRON
cana-3881	112	3	−	−	VERB
cana-3881	112	4	1	1	NUM
cana-3881	112	5	for	for	ADP
cana-3881	112	6	i	i	PRON
cana-3881	112	7	=	=	NOUN
cana-3881	112	8	0	0	NUM
cana-3881	112	9	to	to	ADP
cana-3881	112	10	m1	m1	PROPN
cana-3881	112	11	.	.	PUNCT
cana-3881	113	1	in	in	ADP
cana-3881	113	2	the	the	DET
cana-3881	113	3	extension	extension	NOUN
cana-3881	113	4	h(s	h(s	PROPN
cana-3881	113	5	,	,	PUNCT
cana-3881	113	6	g	g	PROPN
cana-3881	113	7	−	−	PROPN
cana-3881	113	8	xs	xs	PROPN
cana-3881	113	9	)	)	PUNCT
cana-3881	113	10	if	if	SCONJ
cana-3881	113	11	the	the	DET
cana-3881	113	12	newly	newly	ADV
cana-3881	113	13	added	add	VERB
cana-3881	113	14	vertex	vertex	NOUN
cana-3881	113	15	v	v	NOUN
cana-3881	113	16	were	be	AUX
cana-3881	113	17	joined	join	VERB
cana-3881	113	18	to	to	ADP
cana-3881	113	19	all	all	DET
cana-3881	113	20	the	the	DET
cana-3881	113	21	vertices	vertex	NOUN
cana-3881	113	22	of	of	ADP
cana-3881	113	23	degree	degree	NOUN
cana-3881	113	24	m2	m2	PROPN
cana-3881	113	25	−	−	PROPN
cana-3881	113	26	1	1	NUM
cana-3881	113	27	+	+	NUM
cana-3881	113	28	i−	i−	PROPN
cana-3881	113	29	1	1	NUM
cana-3881	113	30	for	for	ADP
cana-3881	113	31	i	i	PRON
cana-3881	113	32	=	=	NOUN
cana-3881	113	33	1	1	NUM
cana-3881	113	34	to	to	ADP
cana-3881	113	35	m1	m1	PROPN
cana-3881	113	36	,	,	PUNCT
cana-3881	113	37	then	then	ADV
cana-3881	113	38	the	the	DET
cana-3881	113	39	resulting	result	VERB
cana-3881	113	40	extension	extension	NOUN
cana-3881	113	41	h	h	NOUN
cana-3881	113	42	would	would	AUX
cana-3881	113	43	be	be	AUX
cana-3881	113	44	isomorphic	isomorphic	ADJ
cana-3881	113	45	to	to	ADP
cana-3881	113	46	g.	g.	PROPN
cana-3881	113	47	otherwise	otherwise	ADV
cana-3881	113	48	,	,	PUNCT
cana-3881	113	49	at	at	ADV
cana-3881	113	50	least	least	ADV
cana-3881	113	51	two	two	NUM
cana-3881	113	52	vertices	vertex	NOUN
cana-3881	113	53	of	of	ADP
cana-3881	113	54	degree	degree	NOUN
cana-3881	113	55	r	r	NOUN
cana-3881	113	56	or	or	CCONJ
cana-3881	113	57	s	s	NOUN
cana-3881	113	58	are	be	AUX
cana-3881	113	59	adjacent	adjacent	ADJ
cana-3881	113	60	or	or	CCONJ
cana-3881	113	61	degree	degree	NOUN
cana-3881	113	62	of	of	ADP
cana-3881	113	63	at	at	ADV
cana-3881	113	64	least	least	ADV
cana-3881	113	65	one	one	NUM
cana-3881	113	66	vertex	vertex	NOUN
cana-3881	113	67	y	y	PROPN
cana-3881	113	68	∈	∈	PROPN
cana-3881	113	69	yi	yi	PROPN
cana-3881	113	70	is	be	AUX
cana-3881	113	71	m2	m2	PROPN
cana-3881	114	1	+	+	CCONJ
cana-3881	114	2	i	i	PRON
cana-3881	114	3	−	−	VERB
cana-3881	114	4	3	3	NUM
cana-3881	114	5	for	for	ADP
cana-3881	114	6	some	some	DET
cana-3881	114	7	i.	i.	NOUN
cana-3881	114	8	case	case	NOUN
cana-3881	114	9	2	2	NUM
cana-3881	114	10	.	.	X
cana-3881	114	11	s	s	PART
cana-3881	114	12	=	=	PUNCT
cana-3881	114	13	m2	m2	PROPN
cana-3881	115	1	−	−	PROPN
cana-3881	115	2	2	2	NUM
cana-3881	115	3	.	.	PUNCT
cana-3881	115	4	here	here	ADV
cana-3881	115	5	we	we	PRON
cana-3881	115	6	use	use	VERB
cana-3881	115	7	the	the	DET
cana-3881	115	8	two	two	NUM
cana-3881	115	9	dacards	dacard	NOUN
cana-3881	115	10	(	(	PUNCT
cana-3881	115	11	r	r	NOUN
cana-3881	115	12	,	,	PUNCT
cana-3881	115	13	g−x	g−x	NOUN
cana-3881	115	14	r	r	NOUN
cana-3881	115	15	)	)	PUNCT
cana-3881	115	16	and	and	CCONJ
cana-3881	115	17	(	(	PUNCT
cana-3881	115	18	m2	m2	PROPN
cana-3881	115	19	−	−	PROPN
cana-3881	115	20	1	1	NUM
cana-3881	115	21	,	,	PUNCT
cana-3881	115	22	g−y	g−y	NOUN
cana-3881	115	23	)	)	PUNCT
cana-3881	115	24	.	.	PUNCT
cana-3881	116	1	in	in	ADP
cana-3881	116	2	g−y	g−y	NOUN
cana-3881	116	3	,	,	PUNCT
cana-3881	116	4	exactly	exactly	ADV
cana-3881	116	5	one	one	NUM
cana-3881	116	6	partite	partite	ADJ
cana-3881	116	7	set	set	NOUN
cana-3881	116	8	is	be	AUX
cana-3881	116	9	(	(	PUNCT
cana-3881	116	10	r	r	NOUN
cana-3881	116	11	,	,	PUNCT
cana-3881	116	12	s	s	NOUN
cana-3881	116	13	)	)	PUNCT
cana-3881	116	14	-regular	-regular	ADJ
cana-3881	116	15	and	and	CCONJ
cana-3881	116	16	degree	degree	NOUN
cana-3881	116	17	of	of	ADP
cana-3881	116	18	all	all	DET
cana-3881	116	19	vertices	vertex	NOUN
cana-3881	116	20	y	y	PROPN
cana-3881	116	21	∈	∈	PROPN
cana-3881	116	22	yi	yi	PROPN
cana-3881	116	23	of	of	ADP
cana-3881	116	24	other	other	ADJ
cana-3881	116	25	partite	partite	ADJ
cana-3881	116	26	set	set	NOUN
cana-3881	116	27	is	be	AUX
cana-3881	116	28	m2	m2	PROPN
cana-3881	116	29	−	−	PROPN
cana-3881	116	30	1	1	NUM
cana-3881	117	1	+	+	CCONJ
cana-3881	117	2	i	i	PRON
cana-3881	117	3	−	−	VERB
cana-3881	117	4	1	1	NUM
cana-3881	117	5	for	for	ADP
cana-3881	117	6	i	i	PRON
cana-3881	117	7	=	=	NOUN
cana-3881	117	8	0	0	NUM
cana-3881	117	9	to	to	ADP
cana-3881	117	10	m1	m1	PROPN
cana-3881	117	11	.	.	PUNCT
cana-3881	118	1	in	in	ADP
cana-3881	118	2	the	the	DET
cana-3881	118	3	extension	extension	NOUN
cana-3881	118	4	h(r	h(r	NOUN
cana-3881	118	5	,	,	PUNCT
cana-3881	118	6	g	g	PROPN
cana-3881	118	7	−	−	PROPN
cana-3881	118	8	xr	xr	PROPN
cana-3881	118	9	)	)	PUNCT
cana-3881	118	10	if	if	SCONJ
cana-3881	118	11	the	the	DET
cana-3881	118	12	newly	newly	ADV
cana-3881	118	13	added	add	VERB
cana-3881	118	14	vertex	vertex	NOUN
cana-3881	118	15	v	v	NOUN
cana-3881	118	16	were	be	AUX
cana-3881	118	17	joined	join	VERB
cana-3881	118	18	to	to	ADP
cana-3881	118	19	all	all	DET
cana-3881	118	20	the	the	DET
cana-3881	118	21	vertices	vertex	NOUN
cana-3881	118	22	of	of	ADP
cana-3881	118	23	degree	degree	NOUN
cana-3881	118	24	m2	m2	PROPN
cana-3881	118	25	−	−	PROPN
cana-3881	118	26	1	1	NUM
cana-3881	118	27	+	+	NUM
cana-3881	118	28	i−	i−	PROPN
cana-3881	118	29	1	1	NUM
cana-3881	118	30	for	for	ADP
cana-3881	118	31	i	i	PRON
cana-3881	118	32	=	=	NOUN
cana-3881	118	33	1	1	NUM
cana-3881	118	34	to	to	ADP
cana-3881	118	35	m1	m1	PROPN
cana-3881	118	36	,	,	PUNCT
cana-3881	118	37	then	then	ADV
cana-3881	118	38	the	the	DET
cana-3881	118	39	resulting	result	VERB
cana-3881	118	40	extension	extension	NOUN
cana-3881	118	41	h	h	NOUN
cana-3881	118	42	would	would	AUX
cana-3881	118	43	be	be	AUX
cana-3881	118	44	isomorphic	isomorphic	ADJ
cana-3881	118	45	to	to	ADP
cana-3881	118	46	g.	g.	PROPN
cana-3881	118	47	otherwise	otherwise	ADV
cana-3881	118	48	,	,	PUNCT
cana-3881	118	49	at	at	ADV
cana-3881	118	50	least	least	ADV
cana-3881	118	51	two	two	NUM
cana-3881	118	52	vertices	vertex	NOUN
cana-3881	118	53	of	of	ADP
cana-3881	118	54	degree	degree	NOUN
cana-3881	118	55	r	r	NOUN
cana-3881	118	56	or	or	CCONJ
cana-3881	118	57	s	s	NOUN
cana-3881	118	58	are	be	AUX
cana-3881	118	59	adjacent	adjacent	ADJ
cana-3881	118	60	or	or	CCONJ
cana-3881	118	61	degree	degree	NOUN
cana-3881	118	62	of	of	ADP
cana-3881	118	63	at	at	ADV
cana-3881	118	64	least	least	ADV
cana-3881	118	65	one	one	NUM
cana-3881	118	66	vertex	vertex	NOUN
cana-3881	118	67	y	y	PROPN
cana-3881	118	68	∈	∈	PROPN
cana-3881	118	69	yi	yi	PROPN
cana-3881	118	70	is	be	AUX
cana-3881	118	71	m2	m2	PROPN
cana-3881	119	1	+	+	CCONJ
cana-3881	119	2	i	i	PRON
cana-3881	119	3	−	−	VERB
cana-3881	119	4	3	3	NUM
cana-3881	119	5	for	for	ADP
cana-3881	119	6	some	some	DET
cana-3881	119	7	i.	i.	NOUN
cana-3881	119	8	thus	thus	ADV
cana-3881	119	9	no	no	DET
cana-3881	119	10	graph	graph	NOUN
cana-3881	119	11	other	other	ADJ
cana-3881	119	12	than	than	ADP
cana-3881	119	13	g	g	PROPN
cana-3881	119	14	contains	contain	VERB
cana-3881	119	15	both	both	PRON
cana-3881	119	16	the	the	DET
cana-3881	119	17	two	two	NUM
cana-3881	119	18	dacards	dacard	NOUN
cana-3881	119	19	(	(	PUNCT
cana-3881	119	20	r	r	NOUN
cana-3881	119	21	,	,	PUNCT
cana-3881	119	22	g	g	PROPN
cana-3881	119	23	−	−	PROPN
cana-3881	119	24	xr	xr	PROPN
cana-3881	119	25	)	)	PUNCT
cana-3881	119	26	and	and	CCONJ
cana-3881	119	27	(	(	PUNCT
cana-3881	119	28	m2	m2	PROPN
cana-3881	119	29	−	−	PROPN
cana-3881	119	30	1	1	NUM
cana-3881	119	31	,	,	PUNCT
cana-3881	119	32	g	g	PROPN
cana-3881	119	33	−	−	PROPN
cana-3881	119	34	y	y	PROPN
cana-3881	119	35	)	)	PUNCT
cana-3881	119	36	in	in	ADP
cana-3881	119	37	its	its	PRON
cana-3881	119	38	dadeck	dadeck	NOUN
cana-3881	119	39	and	and	CCONJ
cana-3881	119	40	hence	hence	ADV
cana-3881	119	41	drn	drn	ADJ
cana-3881	119	42	(	(	PUNCT
cana-3881	119	43	g	g	NOUN
cana-3881	119	44	)	)	PUNCT
cana-3881	119	45	=	=	SYM
cana-3881	119	46	2	2	X
cana-3881	119	47	.	.	X
cana-3881	119	48	theorem	theorem	NOUN
cana-3881	119	49	6	6	NUM
cana-3881	119	50	.	.	PUNCT
cana-3881	120	1	if	if	SCONJ
cana-3881	120	2	g	g	PROPN
cana-3881	120	3	is	be	AUX
cana-3881	120	4	a	a	DET
cana-3881	120	5	split	split	ADJ
cana-3881	120	6	graph	graph	NOUN
cana-3881	120	7	with	with	ADP
cana-3881	120	8	s	s	NOUN
cana-3881	120	9			NOUN
cana-3881	120	10	r	r	NOUN
cana-3881	120	11	+	+	NOUN
cana-3881	120	12	1	1	NUM
cana-3881	120	13	,	,	PUNCT
cana-3881	120	14	then	then	ADV
cana-3881	120	15	drn	drn	ADJ
cana-3881	120	16	(	(	PUNCT
cana-3881	120	17	g	g	NOUN
cana-3881	120	18	)	)	PUNCT
cana-3881	120	19	=	=	SYM
cana-3881	120	20	2	2	X
cana-3881	120	21	.	.	PUNCT
cana-3881	120	22	proof	proof	NOUN
cana-3881	120	23	.	.	PUNCT
cana-3881	121	1	we	we	PRON
cana-3881	121	2	can	can	AUX
cana-3881	121	3	assume	assume	VERB
cana-3881	121	4	that	that	SCONJ
cana-3881	121	5	deg	deg	PROPN
cana-3881	121	6	iky	iky	PROPN
cana-3881	121	7	≥	≥	PROPN
cana-3881	121	8	m2	m2	PROPN
cana-3881	121	9	∀i	∀i	NOUN
cana-3881	121	10	and	and	CCONJ
cana-3881	121	11	1	1	NUM
cana-3881	121	12	≤	≤	NOUN
cana-3881	121	13	r	r	NOUN
cana-3881	121	14	<	<	X
cana-3881	121	15	s	s	PART
cana-3881	121	16	≤	≤	NUM
cana-3881	121	17	m2	m2	PROPN
cana-3881	121	18	−2	−2	NOUN
cana-3881	121	19	because	because	SCONJ
cana-3881	121	20	every	every	DET
cana-3881	121	21	vertex	vertex	NOUN
cana-3881	121	22	of	of	ADP
cana-3881	121	23	x	x	NOUN
cana-3881	121	24	is	be	AUX
cana-3881	121	25	not	not	PART
cana-3881	121	26	adjacent	adjacent	ADJ
cana-3881	121	27	to	to	ADP
cana-3881	121	28	at	at	ADV
cana-3881	121	29	least	least	ADV
cana-3881	121	30	two	two	NUM
cana-3881	121	31	vertices	vertex	NOUN
cana-3881	121	32	of	of	ADP
cana-3881	121	33	y	y	PROPN
cana-3881	121	34	and	and	CCONJ
cana-3881	121	35	every	every	DET
cana-3881	121	36	vertex	vertex	NOUN
cana-3881	121	37	of	of	ADP
cana-3881	121	38	y	y	PROPN
cana-3881	121	39	is	be	AUX
cana-3881	121	40	adjacent	adjacent	ADJ
cana-3881	121	41	to	to	ADP
cana-3881	121	42	at	at	ADV
cana-3881	121	43	least	least	ADV
cana-3881	121	44	one	one	NUM
cana-3881	121	45	vertex	vertex	NOUN
cana-3881	121	46	of	of	ADP
cana-3881	121	47	x.	x.	NOUN
cana-3881	121	48	consider	consider	VERB
cana-3881	121	49	the	the	DET
cana-3881	121	50	two	two	NUM
cana-3881	121	51	dacards	dacard	NOUN
cana-3881	121	52	(	(	PUNCT
cana-3881	121	53	d(y	d(y	PROPN
cana-3881	121	54	)	)	PUNCT
cana-3881	121	55	,	,	PUNCT
cana-3881	121	56	g−y	g−y	NOUN
cana-3881	121	57	)	)	PUNCT
cana-3881	121	58	and	and	CCONJ
cana-3881	121	59	(	(	PUNCT
cana-3881	121	60	r	r	NOUN
cana-3881	121	61	,	,	PUNCT
cana-3881	121	62	g−xr	g−xr	PROPN
cana-3881	121	63	)	)	PUNCT
cana-3881	121	64	.	.	PUNCT
cana-3881	122	1	it	it	PRON
cana-3881	122	2	is	be	AUX
cana-3881	122	3	clear	clear	ADJ
cana-3881	122	4	that	that	SCONJ
cana-3881	122	5	the	the	DET
cana-3881	122	6	dacard	dacard	ADJ
cana-3881	122	7	g−x	g−x	NOUN
cana-3881	122	8	r	r	NOUN
cana-3881	122	9	has	have	VERB
cana-3881	122	10	two	two	NUM
cana-3881	122	11	partite	partite	ADJ
cana-3881	122	12	sets	set	NOUN
cana-3881	122	13	such	such	ADJ
cana-3881	122	14	that	that	DET
cana-3881	122	15	one	one	NUM
cana-3881	122	16	partite	partite	ADJ
cana-3881	122	17	set	set	NOUN
cana-3881	122	18	is	be	AUX
cana-3881	122	19	clique	clique	ADJ
cana-3881	122	20	and	and	CCONJ
cana-3881	122	21	every	every	DET
cana-3881	122	22	vertex	vertex	NOUN
cana-3881	122	23	of	of	ADP
cana-3881	122	24	other	other	ADJ
cana-3881	122	25	partite	partite	ADJ
cana-3881	122	26	set	set	NOUN
cana-3881	122	27	has	have	VERB
cana-3881	122	28	degree	degree	NOUN
cana-3881	122	29	r	r	NOUN
cana-3881	122	30	or	or	CCONJ
cana-3881	122	31	s.	s.	PROPN
cana-3881	122	32	now	now	ADV
cana-3881	122	33	we	we	PRON
cana-3881	122	34	consider	consider	VERB
cana-3881	122	35	the	the	DET
cana-3881	122	36	extension	extension	NOUN
cana-3881	122	37	of	of	ADP
cana-3881	122	38	(	(	PUNCT
cana-3881	122	39	d(y	d(y	PROPN
cana-3881	122	40	)	)	PUNCT
cana-3881	122	41	,	,	PUNCT
cana-3881	122	42	g	g	PROPN
cana-3881	122	43	−	−	PROPN
cana-3881	122	44	y	y	PROPN
cana-3881	122	45	)	)	PUNCT
cana-3881	122	46	.	.	PUNCT
cana-3881	123	1	if	if	SCONJ
cana-3881	123	2	the	the	DET
cana-3881	123	3	newly	newly	ADV
cana-3881	123	4	added	add	VERB
cana-3881	123	5	vertex	vertex	NOUN
cana-3881	123	6	v	v	NOUN
cana-3881	123	7	were	be	AUX
cana-3881	123	8	joined	join	VERB
cana-3881	123	9	to	to	ADP
cana-3881	123	10	all	all	DET
cana-3881	123	11	the	the	DET
cana-3881	123	12	vertices	vertex	NOUN
cana-3881	123	13	of	of	ADP
cana-3881	123	14	degrees	degree	NOUN
cana-3881	123	15	r	r	NOUN
cana-3881	123	16	−	−	NOUN
cana-3881	123	17	1	1	NUM
cana-3881	123	18	and	and	CCONJ
cana-3881	123	19	s	s	AUX
cana-3881	123	20	−	−	PROPN
cana-3881	123	21	1	1	NUM
cana-3881	123	22	and	and	CCONJ
cana-3881	123	23	also	also	ADV
cana-3881	123	24	joined	join	VERB
cana-3881	123	25	to	to	ADP
cana-3881	123	26	all	all	DET
cana-3881	123	27	the	the	DET
cana-3881	123	28	vertices	vertex	NOUN
cana-3881	123	29	of	of	ADP
cana-3881	123	30	a	a	DET
cana-3881	123	31	clique	clique	NOUN
cana-3881	123	32	then	then	ADV
cana-3881	123	33	the	the	DET
cana-3881	123	34	resulting	result	VERB
cana-3881	123	35	extension	extension	NOUN
cana-3881	123	36	h	h	NOUN
cana-3881	123	37	would	would	AUX
cana-3881	123	38	be	be	AUX
cana-3881	123	39	isomorphic	isomorphic	ADJ
cana-3881	123	40	to	to	ADP
cana-3881	123	41	g.	g.	PROPN
cana-3881	123	42	otherwise	otherwise	ADV
cana-3881	123	43	,	,	PUNCT
cana-3881	123	44	any	any	DET
cana-3881	123	45	r	r	NOUN
cana-3881	123	46	vertex	vertex	NOUN
cana-3881	123	47	deleted	delete	VERB
cana-3881	123	48	dacard	dacard	NOUN
cana-3881	123	49	of	of	ADP
cana-3881	123	50	h	h	NOUN
cana-3881	123	51	contains	contain	VERB
cana-3881	123	52	at	at	ADV
cana-3881	123	53	least	least	ADV
cana-3881	123	54	one	one	NUM
cana-3881	123	55	vertex	vertex	NOUN
cana-3881	123	56	of	of	ADP
cana-3881	123	57	degree	degree	NOUN
cana-3881	123	58	r	r	NOUN
cana-3881	123	59	+	+	NOUN
cana-3881	123	60	1	1	NUM
cana-3881	123	61	or	or	CCONJ
cana-3881	123	62	s	s	PRON
cana-3881	123	63	+	+	ADJ
cana-3881	123	64	1	1	NUM
cana-3881	123	65	.	.	X
cana-3881	123	66	hence	hence	ADV
cana-3881	123	67	such	such	DET
cana-3881	123	68	a	a	DET
cana-3881	123	69	dacard	dacard	NOUN
cana-3881	123	70	is	be	AUX
cana-3881	123	71	not	not	PART
cana-3881	123	72	isomorphic	isomorphic	ADJ
cana-3881	123	73	to	to	ADP
cana-3881	123	74	g	g	PROPN
cana-3881	123	75	−	−	PROPN
cana-3881	124	1	xr	xr	PROPN
cana-3881	124	2	.	.	PUNCT
cana-3881	125	1	therefore	therefore	ADV
cana-3881	125	2	,	,	PUNCT
cana-3881	125	3	no	no	DET
cana-3881	125	4	graph	graph	NOUN
cana-3881	125	5	other	other	ADJ
cana-3881	125	6	than	than	ADP
cana-3881	125	7	g	g	PROPN
cana-3881	125	8	contains	contain	VERB
cana-3881	125	9	both	both	DET
cana-3881	125	10	these	these	DET
cana-3881	125	11	two	two	NUM
cana-3881	125	12	dacards	dacard	NOUN
cana-3881	125	13	in	in	ADP
cana-3881	125	14	its	its	PRON
cana-3881	125	15	dadeck	dadeck	NOUN
cana-3881	125	16	,	,	PUNCT
cana-3881	125	17	we	we	PRON
cana-3881	125	18	have	have	AUX
cana-3881	125	19	drn	drn	VERB
cana-3881	125	20	(	(	PUNCT
cana-3881	125	21	g	g	NOUN
cana-3881	125	22	)	)	PUNCT
cana-3881	125	23	=	=	SYM
cana-3881	126	1	2	2	NUM
cana-3881	126	2	.	.	NOUN
cana-3881	126	3	3	3	NUM
cana-3881	126	4	conclusion	conclusion	NOUN
cana-3881	126	5	for	for	ADP
cana-3881	126	6	graphs	graph	NOUN
cana-3881	126	7	with	with	ADP
cana-3881	126	8	at	at	ADV
cana-3881	126	9	least	least	ADV
cana-3881	126	10	three	three	NUM
cana-3881	126	11	vertices	vertex	NOUN
cana-3881	126	12	,	,	PUNCT
cana-3881	126	13	knowing	know	VERB
cana-3881	126	14	the	the	DET
cana-3881	126	15	degree	degree	NOUN
cana-3881	126	16	of	of	ADP
cana-3881	126	17	the	the	DET
cana-3881	126	18	deleted	delete	VERB
cana-3881	126	19	vertex	vertex	NOUN
cana-3881	126	20	is	be	AUX
cana-3881	126	21	equivalent	equivalent	ADJ
cana-3881	126	22	to	to	ADP
cana-3881	126	23	knowing	know	VERB
cana-3881	126	24	the	the	DET
cana-3881	126	25	total	total	ADJ
cana-3881	126	26	number	number	NOUN
cana-3881	126	27	of	of	ADP
cana-3881	126	28	edges	edge	NOUN
cana-3881	126	29	.	.	PUNCT
cana-3881	127	1	a	a	DET
cana-3881	127	2	simple	simple	ADJ
cana-3881	127	3	counting	counting	NOUN
cana-3881	127	4	argument	argument	NOUN
cana-3881	127	5	computes	compute	VERB
cana-3881	127	6	the	the	DET
cana-3881	127	7	size	size	NOUN
cana-3881	127	8	of	of	ADP
cana-3881	127	9	the	the	DET
cana-3881	127	10	graph	graph	NOUN
cana-3881	127	11	when	when	SCONJ
cana-3881	127	12	its	its	PRON
cana-3881	127	13	entire	entire	ADJ
cana-3881	127	14	deck	deck	NOUN
cana-3881	127	15	is	be	AUX
cana-3881	127	16	known	know	VERB
cana-3881	127	17	.	.	PUNCT
cana-3881	128	1	so	so	ADV
cana-3881	128	2	the	the	DET
cana-3881	128	3	dadeck	dadeck	NOUN
cana-3881	128	4	gives	give	VERB
cana-3881	128	5	the	the	DET
cana-3881	128	6	same	same	ADJ
cana-3881	128	7	information	information	NOUN
cana-3881	128	8	as	as	ADP
cana-3881	128	9	the	the	DET
cana-3881	128	10	deck	deck	NOUN
cana-3881	128	11	.	.	PUNCT
cana-3881	129	1	however	however	ADV
cana-3881	129	2	,	,	PUNCT
cana-3881	129	3	the	the	DET
cana-3881	129	4	counting	counting	NOUN
cana-3881	129	5	argument	argument	NOUN
cana-3881	129	6	requires	require	VERB
cana-3881	129	7	the	the	DET
cana-3881	129	8	entire	entire	ADJ
cana-3881	129	9	deck	deck	NOUN
cana-3881	129	10	,	,	PUNCT
cana-3881	129	11	so	so	SCONJ
cana-3881	129	12	an	an	DET
cana-3881	129	13	individual	individual	ADJ
cana-3881	129	14	dacard	dacard	NOUN
cana-3881	129	15	gives	give	VERB
cana-3881	129	16	more	more	ADJ
cana-3881	129	17	information	information	NOUN
cana-3881	129	18	than	than	ADP
cana-3881	129	19	the	the	DET
cana-3881	129	20	corresponding	corresponding	ADJ
cana-3881	129	21	card	card	NOUN
cana-3881	129	22	.	.	PUNCT
cana-3881	130	1	in	in	ADP
cana-3881	130	2	the	the	DET
cana-3881	130	3	above	above	ADJ
cana-3881	130	4	sections	section	NOUN
cana-3881	130	5	,	,	PUNCT
cana-3881	130	6	we	we	PRON
cana-3881	130	7	have	have	AUX
cana-3881	130	8	proved	prove	VERB
cana-3881	130	9	that	that	SCONJ
cana-3881	130	10	the	the	DET
cana-3881	130	11	drn	drn	NOUN
cana-3881	130	12	is	be	AUX
cana-3881	130	13	1	1	NUM
cana-3881	130	14	or	or	CCONJ
cana-3881	130	15	2	2	NUM
cana-3881	130	16	for	for	ADP
cana-3881	130	17	a	a	DET
cana-3881	130	18	split	split	NOUN
cana-3881	130	19	graph	graph	NOUN
cana-3881	130	20	g	g	NOUN
cana-3881	130	21	of	of	ADP
cana-3881	130	22	degree	degree	NOUN
cana-3881	130	23	at	at	ADV
cana-3881	130	24	least	least	ADJ
cana-3881	130	25	seven	seven	NUM
cana-3881	130	26	with	with	ADP
cana-3881	130	27	biregular	biregular	ADJ
cana-3881	130	28	independent	independent	ADJ
cana-3881	130	29	set	set	NOUN
cana-3881	130	30	whose	whose	DET
cana-3881	130	31	degrees	degree	NOUN
cana-3881	130	32	differ	differ	VERB
cana-3881	130	33	by	by	ADP
cana-3881	130	34	two	two	NUM
cana-3881	130	35	.	.	PUNCT
cana-3881	131	1	there	there	PRON
cana-3881	131	2	is	be	VERB
cana-3881	131	3	a	a	DET
cana-3881	131	4	hope	hope	NOUN
cana-3881	131	5	to	to	PART
cana-3881	131	6	complete	complete	VERB
cana-3881	131	7	a	a	DET
cana-3881	131	8	proof	proof	NOUN
cana-3881	131	9	of	of	ADP
cana-3881	131	10	drn	drn	NOUN
cana-3881	131	11	(	(	PUNCT
cana-3881	131	12	g	g	NOUN
cana-3881	131	13	)	)	PUNCT
cana-3881	131	14	≤	≤	NOUN
cana-3881	131	15	3	3	NUM
cana-3881	131	16	for	for	ADP
cana-3881	131	17	all	all	DET
cana-3881	131	18	split	split	ADJ
cana-3881	131	19	graphs	graph	NOUN
cana-3881	131	20	g.	g.	NOUN
cana-3881	131	21	references	reference	NOUN
cana-3881	131	22	[	[	X
cana-3881	131	23	1	1	NUM
cana-3881	131	24	]	]	PUNCT
cana-3881	131	25	a.	a.	NOUN
cana-3881	131	26	anu	anu	PROPN
cana-3881	131	27	and	and	CCONJ
cana-3881	131	28	s.	s.	PROPN
cana-3881	131	29	monikandan	monikandan	PROPN
cana-3881	131	30	,	,	PUNCT
cana-3881	131	31	nearly	nearly	ADV
cana-3881	131	32	all	all	PRON
cana-3881	131	33	biregular	biregular	ADJ
cana-3881	131	34	graphs	graph	NOUN
cana-3881	131	35	have	have	VERB
cana-3881	131	36	degree	degree	NOUN
cana-3881	131	37	associated	associate	VERB
cana-3881	131	38	edge	edge	NOUN
cana-3881	131	39	reconstruction	reconstruction	NOUN
cana-3881	131	40	number	number	NOUN
cana-3881	131	41	at	at	ADP
cana-3881	131	42	most	most	ADV
cana-3881	131	43	three	three	NUM
cana-3881	131	44	,	,	PUNCT
cana-3881	131	45	ars	ar	VERB
cana-3881	131	46	combinatoria	combinatoria	NOUN
cana-3881	131	47	,	,	PUNCT
cana-3881	131	48	147	147	NUM
cana-3881	131	49	,	,	PUNCT
cana-3881	131	50	263	263	NUM
cana-3881	131	51	-	-	SYM
cana-3881	131	52	280	280	NUM
cana-3881	131	53	(	(	PUNCT
cana-3881	131	54	2020	2020	NUM
cana-3881	131	55	)	)	PUNCT
cana-3881	131	56	.	.	PUNCT
cana-3881	132	1	[	[	X
cana-3881	132	2	2	2	X
cana-3881	132	3	]	]	PUNCT
cana-3881	132	4	p.	p.	NOUN
cana-3881	132	5	anusha	anusha	PROPN
cana-3881	132	6	devi	devi	PROPN
cana-3881	132	7	and	and	CCONJ
cana-3881	132	8	s.	s.	PROPN
cana-3881	132	9	monikandan	monikandan	PROPN
cana-3881	132	10	,	,	PUNCT
cana-3881	132	11	degree	degree	NOUN
cana-3881	132	12	associated	associate	VERB
cana-3881	132	13	reconstruction	reconstruction	NOUN
cana-3881	132	14	number	number	NOUN
cana-3881	132	15	of	of	ADP
cana-3881	132	16	graphs	graph	NOUN
cana-3881	132	17	with	with	ADP
cana-3881	132	18	regular	regular	ADJ
cana-3881	132	19	pruned	prune	VERB
cana-3881	132	20	graph	graph	NOUN
cana-3881	132	21	,	,	PUNCT
cana-3881	132	22	ars	ar	VERB
cana-3881	132	23	combinatoria	combinatoria	NOUN
cana-3881	132	24	134	134	NUM
cana-3881	132	25	,	,	PUNCT
cana-3881	132	26	29	29	NUM
cana-3881	132	27	-	-	SYM
cana-3881	132	28	41	41	NUM
cana-3881	132	29	,	,	PUNCT
cana-3881	132	30	(	(	PUNCT
cana-3881	132	31	2017	2017	NUM
cana-3881	132	32	)	)	PUNCT
cana-3881	132	33	.	.	PUNCT
cana-3881	133	1	[	[	X
cana-3881	133	2	3	3	X
cana-3881	133	3	]	]	PUNCT
cana-3881	133	4	p.	p.	NOUN
cana-3881	133	5	anusha	anusha	PROPN
cana-3881	133	6	devi	devi	PROPN
cana-3881	133	7	and	and	CCONJ
cana-3881	133	8	s.	s.	PROPN
cana-3881	133	9	monikandan	monikandan	PROPN
cana-3881	133	10	,	,	PUNCT
cana-3881	133	11	degree	degree	NOUN
cana-3881	133	12	associated	associate	VERB
cana-3881	133	13	reconstruction	reconstruction	NOUN
cana-3881	133	14	numbers	number	NOUN
cana-3881	133	15	of	of	ADP
cana-3881	133	16	total	total	ADJ
cana-3881	133	17	graph	graph	NOUN
cana-3881	133	18	,	,	PUNCT
cana-3881	133	19	contribution	contribution	NOUN
cana-3881	133	20	to	to	PART
cana-3881	133	21	discrete	discrete	VERB
cana-3881	133	22	mathematics	mathematic	NOUN
cana-3881	133	23	12(2	12(2	NUM
cana-3881	133	24	)	)	PUNCT
cana-3881	133	25	,	,	PUNCT
cana-3881	133	26	77	77	NUM
cana-3881	133	27	-	-	SYM
cana-3881	133	28	90	90	NUM
cana-3881	133	29	,	,	PUNCT
cana-3881	133	30	(	(	PUNCT
cana-3881	133	31	2017	2017	NUM
cana-3881	133	32	)	)	PUNCT
cana-3881	133	33	.	.	PUNCT
cana-3881	134	1	[	[	X
cana-3881	134	2	4	4	NUM
cana-3881	134	3	]	]	PUNCT
cana-3881	134	4	a.	a.	NOUN
cana-3881	134	5	anu	anu	PROPN
cana-3881	134	6	and	and	CCONJ
cana-3881	134	7	s.	s.	PROPN
cana-3881	134	8	monikandan	monikandan	PROPN
cana-3881	134	9	,	,	PUNCT
cana-3881	134	10	degree	degree	NOUN
cana-3881	134	11	associated	associate	VERB
cana-3881	134	12	reconstruction	reconstruction	NOUN
cana-3881	134	13	number	number	NOUN
cana-3881	134	14	of	of	ADP
cana-3881	134	15	biregular	biregular	ADJ
cana-3881	134	16	bipartite	bipartite	NOUN
cana-3881	134	17	graphs	graph	NOUN
cana-3881	134	18	with	with	ADP
cana-3881	134	19	degree	degree	NOUN
cana-3881	134	20	differ	differ	VERB
cana-3881	134	21	by	by	ADP
cana-3881	134	22	at	at	ADV
cana-3881	134	23	least	least	ADV
cana-3881	134	24	two	two	NUM
cana-3881	134	25	,	,	PUNCT
cana-3881	134	26	proceedings	proceeding	NOUN
cana-3881	134	27	of	of	ADP
cana-3881	134	28	the	the	DET
cana-3881	134	29	ictcdm	ictcdm	NOUN
cana-3881	134	30	,	,	PUNCT
cana-3881	134	31	lncs	lncs	VERB
cana-3881	134	32	10398,springer	10398,springer	PROPN
cana-3881	134	33	-	-	PUNCT
cana-3881	134	34	verlag	verlag	PROPN
cana-3881	134	35	,	,	PUNCT
cana-3881	134	36	berlin	berlin	PROPN
cana-3881	134	37	,	,	PUNCT
cana-3881	134	38	1	1	NUM
cana-3881	134	39	-	-	SYM
cana-3881	134	40	9	9	NUM
cana-3881	134	41	,	,	PUNCT
cana-3881	134	42	2017	2017	NUM
cana-3881	134	43	.	.	PUNCT
cana-3881	135	1	[	[	X
cana-3881	135	2	5	5	X
cana-3881	135	3	]	]	PUNCT
cana-3881	135	4	k.	k.	PROPN
cana-3881	135	5	j.	j.	PROPN
cana-3881	135	6	asciak	asciak	PROPN
cana-3881	135	7	,	,	PUNCT
cana-3881	135	8	m.a	m.a	PROPN
cana-3881	135	9	.	.	PROPN
cana-3881	135	10	francalanza	francalanza	PROPN
cana-3881	135	11	,	,	PUNCT
cana-3881	135	12	j.	j.	PROPN
cana-3881	135	13	lauri	lauri	PROPN
cana-3881	135	14	and	and	CCONJ
cana-3881	135	15	w.	w.	PROPN
cana-3881	135	16	myrvold	myrvold	PROPN
cana-3881	135	17	,	,	PUNCT
cana-3881	135	18	a	a	DET
cana-3881	135	19	survey	survey	NOUN
cana-3881	135	20	of	of	ADP
cana-3881	135	21	some	some	DET
cana-3881	135	22	open	open	ADJ
cana-3881	135	23	questions	question	NOUN
cana-3881	135	24	in	in	ADP
cana-3881	135	25	reconstruction	reconstruction	NOUN
cana-3881	135	26	numbers	number	NOUN
cana-3881	135	27	,	,	PUNCT
cana-3881	135	28	ars	ar	VERB
cana-3881	135	29	combinatoria	combinatoria	PROPN
cana-3881	135	30	97	97	NUM
cana-3881	135	31	,	,	PUNCT
cana-3881	135	32	443	443	NUM
cana-3881	135	33	-	-	SYM
cana-3881	135	34	456	456	NUM
cana-3881	135	35	(	(	PUNCT
cana-3881	135	36	2010	2010	NUM
cana-3881	135	37	)	)	PUNCT
cana-3881	135	38	.	.	PUNCT
cana-3881	136	1	[	[	X
cana-3881	136	2	6	6	NUM
cana-3881	136	3	]	]	X
cana-3881	136	4	m.d	m.d	PROPN
cana-3881	136	5	.	.	PROPN
cana-3881	136	6	barrus	barrus	PROPN
cana-3881	136	7	and	and	CCONJ
cana-3881	136	8	d.b	d.b	PROPN
cana-3881	136	9	.	.	PROPN
cana-3881	136	10	west	west	PROPN
cana-3881	136	11	,	,	PUNCT
cana-3881	136	12	degree	degree	NOUN
cana-3881	136	13	-	-	PUNCT
cana-3881	136	14	associated	associate	VERB
cana-3881	136	15	reconstruction	reconstruction	NOUN
cana-3881	136	16	number	number	NOUN
cana-3881	136	17	of	of	ADP
cana-3881	136	18	graphs	graph	NOUN
cana-3881	136	19	,	,	PUNCT
cana-3881	136	20	discrete	discrete	ADJ
cana-3881	136	21	math	math	NOUN
cana-3881	136	22	.	.	PUNCT
cana-3881	137	1	310	310	NUM
cana-3881	137	2	,	,	PUNCT
cana-3881	137	3	2600	2600	NUM
cana-3881	137	4	-	-	SYM
cana-3881	137	5	2612	2612	NUM
cana-3881	137	6	(	(	PUNCT
cana-3881	137	7	2010	2010	NUM
cana-3881	137	8	)	)	PUNCT
cana-3881	137	9	.	.	PUNCT
cana-3881	138	1	communications	communication	NOUN
cana-3881	138	2	on	on	ADP
cana-3881	138	3	applied	apply	VERB
cana-3881	138	4	nonlinear	nonlinear	ADJ
cana-3881	138	5	analysis	analysis	NOUN
cana-3881	138	6	issn	issn	NOUN
cana-3881	138	7	:	:	PUNCT
cana-3881	138	8	1074	1074	NUM
cana-3881	138	9	-	-	PUNCT
cana-3881	138	10	133x	133x	NUM
cana-3881	138	11	vol	vol	NOUN
cana-3881	138	12	32	32	NUM
cana-3881	138	13	no	no	NOUN
cana-3881	138	14	.	.	PUNCT
cana-3881	139	1	8s	8s	PROPN
cana-3881	139	2	(	(	PUNCT
cana-3881	139	3	2025	2025	NUM
cana-3881	139	4	)	)	PUNCT
cana-3881	139	5	892	892	NUM
cana-3881	139	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3881	140	1	[	[	X
cana-3881	140	2	7	7	X
cana-3881	140	3	]	]	X
cana-3881	140	4	j.a	j.a	PROPN
cana-3881	140	5	.	.	PROPN
cana-3881	140	6	bondy	bondy	PROPN
cana-3881	140	7	,	,	PUNCT
cana-3881	140	8	a	a	DET
cana-3881	140	9	graph	graph	NOUN
cana-3881	140	10	reconstructors	reconstructor	NOUN
cana-3881	140	11	manual	manual	NOUN
cana-3881	140	12	,	,	PUNCT
cana-3881	140	13	in	in	ADP
cana-3881	140	14	surveys	survey	NOUN
cana-3881	140	15	in	in	ADP
cana-3881	140	16	combinatorics	combinatoric	NOUN
cana-3881	140	17	(	(	PUNCT
cana-3881	140	18	proc	proc	NOUN
cana-3881	140	19	.	.	PUNCT
cana-3881	140	20	13th	13th	ADJ
cana-3881	140	21	british	british	ADJ
cana-3881	140	22	combin	combin	NOUN
cana-3881	140	23	.	.	PUNCT
cana-3881	140	24	conf	conf	PROPN
cana-3881	140	25	.	.	PUNCT
cana-3881	140	26	)	)	PUNCT
cana-3881	141	1	london	london	PROPN
cana-3881	141	2	math	math	NOUN
cana-3881	141	3	.	.	PUNCT
cana-3881	142	1	soc	soc	PROPN
cana-3881	142	2	.	.	PUNCT
cana-3881	143	1	lecture	lecture	NOUN
cana-3881	143	2	note	note	NOUN
cana-3881	143	3	ser	ser	NOUN
cana-3881	143	4	.	.	PROPN
cana-3881	143	5	166	166	NUM
cana-3881	143	6	,	,	PUNCT
cana-3881	143	7	221252(1991	221252(1991	NUM
cana-3881	143	8	)	)	PUNCT
cana-3881	143	9	.	.	PUNCT
cana-3881	144	1	[	[	X
cana-3881	144	2	8	8	NUM
cana-3881	144	3	]	]	X
cana-3881	144	4	f.	f.	PROPN
cana-3881	144	5	harary	harary	PROPN
cana-3881	144	6	,	,	PUNCT
cana-3881	144	7	graph	graph	NOUN
cana-3881	144	8	theory	theory	NOUN
cana-3881	144	9	,	,	PUNCT
cana-3881	144	10	addison	addison	PROPN
cana-3881	144	11	wesley	wesley	PROPN
cana-3881	144	12	,	,	PUNCT
cana-3881	144	13	mass	mass	PROPN
cana-3881	144	14	.	.	PUNCT
cana-3881	144	15	(	(	PUNCT
cana-3881	144	16	1969	1969	NUM
cana-3881	144	17	)	)	PUNCT
cana-3881	144	18	.	.	PUNCT
cana-3881	145	1	[	[	X
cana-3881	145	2	9	9	NUM
cana-3881	145	3	]	]	PUNCT
cana-3881	145	4	f.	f.	PROPN
cana-3881	145	5	harary	harary	PROPN
cana-3881	145	6	,	,	PUNCT
cana-3881	145	7	on	on	ADP
cana-3881	145	8	the	the	DET
cana-3881	145	9	reconstruction	reconstruction	NOUN
cana-3881	145	10	of	of	ADP
cana-3881	145	11	a	a	DET
cana-3881	145	12	graph	graph	NOUN
cana-3881	145	13	from	from	ADP
cana-3881	145	14	a	a	DET
cana-3881	145	15	collection	collection	NOUN
cana-3881	145	16	of	of	ADP
cana-3881	145	17	subgraphs	subgraph	NOUN
cana-3881	145	18	,	,	PUNCT
cana-3881	145	19	in	in	ADP
cana-3881	145	20	”	"	PUNCT
cana-3881	145	21	theory	theory	NOUN
cana-3881	145	22	of	of	ADP
cana-3881	145	23	graphs	graph	NOUN
cana-3881	145	24	and	and	CCONJ
cana-3881	145	25	its	its	PRON
cana-3881	145	26	applications	application	NOUN
cana-3881	145	27	”	"	PUNCT
cana-3881	145	28	,	,	PUNCT
cana-3881	145	29	(	(	PUNCT
cana-3881	145	30	m.	m.	NOUN
cana-3881	145	31	fieldler	fieldler	NOUN
cana-3881	145	32	,	,	PUNCT
cana-3881	145	33	ed	ed	NOUN
cana-3881	145	34	.	.	PUNCT
cana-3881	145	35	)	)	PUNCT
cana-3881	145	36	,	,	PUNCT
cana-3881	145	37	academic	academic	ADJ
cana-3881	145	38	press	press	NOUN
cana-3881	145	39	,	,	PUNCT
cana-3881	145	40	new	new	PROPN
cana-3881	145	41	york	york	PROPN
cana-3881	145	42	,	,	PUNCT
cana-3881	145	43	4752	4752	NUM
cana-3881	145	44	(	(	PUNCT
cana-3881	145	45	1964	1964	NUM
cana-3881	145	46	)	)	PUNCT
cana-3881	145	47	.	.	PUNCT
cana-3881	146	1	[	[	X
cana-3881	146	2	10	10	NUM
cana-3881	146	3	]	]	X
cana-3881	146	4	f.	f.	PROPN
cana-3881	146	5	harary	harary	PROPN
cana-3881	146	6	and	and	CCONJ
cana-3881	146	7	m.	m.	NOUN
cana-3881	146	8	plantholt	plantholt	PROPN
cana-3881	146	9	,	,	PUNCT
cana-3881	146	10	the	the	DET
cana-3881	146	11	graph	graph	NOUN
cana-3881	146	12	reconstruction	reconstruction	NOUN
cana-3881	146	13	number	number	NOUN
cana-3881	146	14	,	,	PUNCT
cana-3881	146	15	j.	j.	PROPN
cana-3881	146	16	graph	graph	PROPN
cana-3881	146	17	theory	theory	NOUN
cana-3881	146	18	,	,	PUNCT
cana-3881	146	19	vol	vol	NOUN
cana-3881	146	20	.	.	PROPN
cana-3881	146	21	9	9	NUM
cana-3881	146	22	,	,	PUNCT
cana-3881	146	23	451	451	NUM
cana-3881	146	24	-	-	SYM
cana-3881	146	25	454	454	NUM
cana-3881	146	26	(	(	PUNCT
cana-3881	146	27	1985	1985	NUM
cana-3881	146	28	)	)	PUNCT
cana-3881	146	29	.	.	PUNCT
cana-3881	147	1	[	[	X
cana-3881	147	2	11	11	NUM
cana-3881	147	3	]	]	X
cana-3881	147	4	n.	n.	PROPN
cana-3881	147	5	kalai	kalai	PROPN
cana-3881	147	6	mathi	mathi	PROPN
cana-3881	147	7	and	and	CCONJ
cana-3881	147	8	s.	s.	PROPN
cana-3881	147	9	monikandan	monikandan	PROPN
cana-3881	147	10	,	,	PUNCT
cana-3881	147	11	degree	degree	NOUN
cana-3881	147	12	associated	associate	VERB
cana-3881	147	13	reconstruction	reconstruction	NOUN
cana-3881	147	14	number	number	NOUN
cana-3881	147	15	of	of	ADP
cana-3881	147	16	split	split	ADJ
cana-3881	147	17	graphs	graph	NOUN
cana-3881	147	18	with	with	ADP
cana-3881	147	19	regular	regular	ADJ
cana-3881	147	20	independent	independent	ADJ
cana-3881	147	21	set	set	NOUN
cana-3881	147	22	,	,	PUNCT
cana-3881	147	23	proceedings	proceeding	NOUN
cana-3881	147	24	of	of	ADP
cana-3881	147	25	the	the	DET
cana-3881	147	26	ictcdm	ictcdm	NOUN
cana-3881	147	27	,	,	PUNCT
cana-3881	147	28	lncs	lncs	PROPN
cana-3881	147	29	10398	10398	NUM
cana-3881	147	30	,	,	PUNCT
cana-3881	147	31	springer	springer	NOUN
cana-3881	147	32	-	-	PUNCT
cana-3881	147	33	verlag	verlag	PROPN
cana-3881	147	34	,	,	PUNCT
cana-3881	147	35	berlin	berlin	PROPN
cana-3881	147	36	,	,	PUNCT
cana-3881	147	37	106	106	NUM
cana-3881	147	38	-	-	SYM
cana-3881	147	39	112	112	NUM
cana-3881	147	40	,	,	PUNCT
cana-3881	147	41	2017	2017	NUM
cana-3881	147	42	.	.	PUNCT
cana-3881	148	1	[	[	X
cana-3881	148	2	12	12	NUM
cana-3881	148	3	]	]	X
cana-3881	148	4	s.	s.	PROPN
cana-3881	148	5	monikandan	monikandan	PROPN
cana-3881	148	6	and	and	CCONJ
cana-3881	148	7	n.	n.	PROPN
cana-3881	148	8	kalai	kalai	PROPN
cana-3881	148	9	mathi	mathi	PROPN
cana-3881	148	10	,	,	PUNCT
cana-3881	148	11	degree	degree	NOUN
cana-3881	148	12	associated	associate	VERB
cana-3881	148	13	edge	edge	NOUN
cana-3881	148	14	reconstruction	reconstruction	NOUN
cana-3881	148	15	number	number	NOUN
cana-3881	148	16	of	of	ADP
cana-3881	148	17	split	split	ADJ
cana-3881	148	18	graphs	graph	NOUN
cana-3881	148	19	with	with	ADP
cana-3881	148	20	regular	regular	ADJ
cana-3881	148	21	independent	independent	ADJ
cana-3881	148	22	set	set	NOUN
cana-3881	148	23	is	be	AUX
cana-3881	148	24	one	one	NUM
cana-3881	148	25	or	or	CCONJ
cana-3881	148	26	two	two	NUM
cana-3881	148	27	,	,	PUNCT
cana-3881	148	28	journal	journal	NOUN
cana-3881	148	29	of	of	ADP
cana-3881	148	30	combinatorics	combinatoric	NOUN
cana-3881	148	31	and	and	CCONJ
cana-3881	148	32	number	number	NOUN
cana-3881	148	33	theory	theory	NOUN
cana-3881	148	34	10(1	10(1	NUM
cana-3881	148	35	)	)	PUNCT
cana-3881	148	36	,	,	PUNCT
cana-3881	148	37	63	63	NUM
cana-3881	148	38	-	-	SYM
cana-3881	148	39	73	73	NUM
cana-3881	148	40	,	,	PUNCT
cana-3881	148	41	(	(	PUNCT
cana-3881	148	42	2019	2019	NUM
cana-3881	148	43	)	)	PUNCT
cana-3881	148	44	.	.	PUNCT
cana-3881	149	1	[	[	X
cana-3881	149	2	13	13	NUM
cana-3881	149	3	]	]	PUNCT
cana-3881	149	4	p.	p.	NOUN
cana-3881	149	5	j.	j.	PROPN
cana-3881	149	6	kelly	kelly	PROPN
cana-3881	149	7	,	,	PUNCT
cana-3881	149	8	on	on	ADP
cana-3881	149	9	isometric	isometric	ADJ
cana-3881	149	10	transformations	transformation	NOUN
cana-3881	149	11	,	,	PUNCT
cana-3881	149	12	phd	phd	NOUN
cana-3881	149	13	thesis	thesis	NOUN
cana-3881	149	14	,	,	PUNCT
cana-3881	149	15	university	university	PROPN
cana-3881	149	16	of	of	ADP
cana-3881	149	17	wisconsin	wisconsin	PROPN
cana-3881	149	18	madison	madison	PROPN
cana-3881	149	19	,	,	PUNCT
cana-3881	149	20	(	(	PUNCT
cana-3881	149	21	1942	1942	NUM
cana-3881	149	22	)	)	PUNCT
cana-3881	149	23	.	.	PUNCT
cana-3881	150	1	[	[	X
cana-3881	150	2	14	14	NUM
cana-3881	150	3	]	]	X
cana-3881	150	4	w.l	w.l	PROPN
cana-3881	150	5	.	.	PROPN
cana-3881	150	6	kocay	kocay	PROPN
cana-3881	150	7	,	,	PUNCT
cana-3881	150	8	partial	partial	ADJ
cana-3881	150	9	automorphisms	automorphism	NOUN
cana-3881	150	10	and	and	CCONJ
cana-3881	150	11	the	the	DET
cana-3881	150	12	reconstruction	reconstruction	NOUN
cana-3881	150	13	conjecture	conjecture	NOUN
cana-3881	150	14	,	,	PUNCT
cana-3881	150	15	j.	j.	PROPN
cana-3881	150	16	austral	austral	PROPN
cana-3881	150	17	.	.	PUNCT
cana-3881	151	1	math	math	NOUN
cana-3881	151	2	.	.	PUNCT
cana-3881	152	1	soc	soc	PROPN
cana-3881	152	2	.	.	PUNCT
cana-3881	153	1	(	(	PUNCT
cana-3881	153	2	ser	ser	NOUN
cana-3881	153	3	a	a	NOUN
cana-3881	153	4	)	)	PUNCT
cana-3881	153	5	37,317336	37,317336	PROPN
cana-3881	153	6	(	(	PUNCT
cana-3881	153	7	1984	1984	NUM
cana-3881	153	8	)	)	PUNCT
cana-3881	153	9	.	.	PUNCT
cana-3881	154	1	[	[	X
cana-3881	154	2	15	15	NUM
cana-3881	154	3	]	]	X
cana-3881	154	4	m.	m.	NOUN
cana-3881	154	5	ma	ma	PROPN
cana-3881	154	6	,	,	PUNCT
cana-3881	154	7	h.	h.	PROPN
cana-3881	154	8	shi	shi	PROPN
cana-3881	154	9	,	,	PUNCT
cana-3881	154	10	h.	h.	PROPN
cana-3881	154	11	spinoza	spinoza	PROPN
cana-3881	154	12	and	and	CCONJ
cana-3881	154	13	d.	d.	PROPN
cana-3881	154	14	b.	b.	PROPN
cana-3881	154	15	west	west	PROPN
cana-3881	154	16	,	,	PUNCT
cana-3881	154	17	degree	degree	NOUN
cana-3881	154	18	-	-	PUNCT
cana-3881	154	19	associated	associate	VERB
cana-3881	154	20	reconstruction	reconstruction	NOUN
cana-3881	154	21	parameters	parameter	NOUN
cana-3881	154	22	of	of	ADP
cana-3881	154	23	complete	complete	ADJ
cana-3881	154	24	multipartite	multipartite	ADJ
cana-3881	154	25	graphs	graph	NOUN
cana-3881	154	26	and	and	CCONJ
cana-3881	154	27	their	their	PRON
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cana-3881	154	29	,	,	PUNCT
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cana-3881	154	31	j.	j.	PROPN
cana-3881	154	32	math	math	PROPN
cana-3881	154	33	.	.	PUNCT
cana-3881	154	34	,	,	PUNCT
cana-3881	154	35	vol	vol	NOUN
cana-3881	154	36	.	.	PROPN
cana-3881	154	37	19	19	NUM
cana-3881	154	38	,	,	PUNCT
cana-3881	154	39	no	no	INTJ
cana-3881	154	40	.	.	NOUN
cana-3881	154	41	4	4	NUM
cana-3881	154	42	,	,	PUNCT
cana-3881	154	43	1271	1271	NUM
cana-3881	154	44	-	-	SYM
cana-3881	154	45	1284	1284	NUM
cana-3881	154	46	(	(	PUNCT
cana-3881	154	47	2015	2015	NUM
cana-3881	154	48	)	)	PUNCT
cana-3881	154	49	.	.	PUNCT
cana-3881	155	1	[	[	X
cana-3881	155	2	16	16	NUM
cana-3881	155	3	]	]	PUNCT
cana-3881	155	4	m.	m.	PROPN
cana-3881	155	5	ma	ma	PROPN
cana-3881	155	6	,	,	PUNCT
cana-3881	155	7	h.	h.	PROPN
cana-3881	155	8	shi	shi	PROPN
cana-3881	155	9	and	and	CCONJ
cana-3881	155	10	d.	d.	PROPN
cana-3881	155	11	b.	b.	PROPN
cana-3881	155	12	west	west	PROPN
cana-3881	155	13	,	,	PUNCT
cana-3881	155	14	the	the	DET
cana-3881	155	15	adversary	adversary	NOUN
cana-3881	155	16	degree	degree	NOUN
cana-3881	155	17	associated	associate	VERB
cana-3881	155	18	reconstruction	reconstruction	NOUN
cana-3881	155	19	number	number	NOUN
cana-3881	155	20	of	of	ADP
cana-3881	155	21	double	double	ADJ
cana-3881	155	22	brooms	broom	NOUN
cana-3881	155	23	,	,	PUNCT
cana-3881	155	24	j.	j.	PROPN
cana-3881	155	25	discrete	discrete	ADJ
cana-3881	155	26	algorithms	algorithm	NOUN
cana-3881	155	27	33,1̃50159(̃2015	33,1̃50159(̃2015	NUM
cana-3881	155	28	)	)	PUNCT
cana-3881	155	29	.	.	PUNCT
cana-3881	156	1	[	[	X
cana-3881	156	2	17	17	NUM
cana-3881	156	3	]	]	X
cana-3881	156	4	b.	b.	PROPN
cana-3881	156	5	manvel	manvel	PROPN
cana-3881	156	6	,	,	PUNCT
cana-3881	156	7	reconstruction	reconstruction	NOUN
cana-3881	156	8	of	of	ADP
cana-3881	156	9	graphs	graph	NOUN
cana-3881	156	10	progress	progress	NOUN
cana-3881	156	11	and	and	CCONJ
cana-3881	156	12	prospects	prospect	NOUN
cana-3881	156	13	,	,	PUNCT
cana-3881	156	14	congr	congr	NOUN
cana-3881	156	15	.	.	PUNCT
cana-3881	157	1	numer	numer	PROPN
cana-3881	157	2	.	.	PROPN
cana-3881	158	1	63	63	NUM
cana-3881	158	2	,	,	PUNCT
cana-3881	158	3	177187	177187	NUM
cana-3881	158	4	(	(	PUNCT
cana-3881	158	5	1988	1988	NUM
cana-3881	158	6	)	)	PUNCT
cana-3881	158	7	.	.	PUNCT
cana-3881	159	1	[	[	X
cana-3881	159	2	18	18	NUM
cana-3881	159	3	]	]	X
cana-3881	159	4	r.	r.	PROPN
cana-3881	159	5	molina	molina	PROPN
cana-3881	159	6	,	,	PUNCT
cana-3881	159	7	the	the	DET
cana-3881	159	8	edge	edge	NOUN
cana-3881	159	9	reconstruction	reconstruction	NOUN
cana-3881	159	10	number	number	NOUN
cana-3881	159	11	of	of	ADP
cana-3881	159	12	a	a	DET
cana-3881	159	13	disconnected	disconnected	ADJ
cana-3881	159	14	graph	graph	NOUN
cana-3881	159	15	,	,	PUNCT
cana-3881	159	16	j.	j.	PROPN
cana-3881	159	17	graph	graph	NOUN
cana-3881	159	18	theory	theory	NOUN
cana-3881	159	19	19	19	NUM
cana-3881	159	20	(	(	PUNCT
cana-3881	159	21	3	3	NUM
cana-3881	159	22	)	)	PUNCT
cana-3881	159	23	,	,	PUNCT
cana-3881	159	24	375	375	NUM
cana-3881	159	25	-	-	SYM
cana-3881	159	26	384	384	NUM
cana-3881	159	27	(	(	PUNCT
cana-3881	159	28	1995	1995	NUM
cana-3881	159	29	)	)	PUNCT
cana-3881	159	30	.	.	PUNCT
cana-3881	160	1	[	[	X
cana-3881	160	2	19	19	NUM
cana-3881	160	3	]	]	X
cana-3881	160	4	s.	s.	PROPN
cana-3881	160	5	monikandan	monikandan	PROPN
cana-3881	160	6	and	and	CCONJ
cana-3881	160	7	s.	s.	PROPN
cana-3881	160	8	sundar	sundar	PROPN
cana-3881	160	9	raj	raj	PROPN
cana-3881	160	10	,	,	PUNCT
cana-3881	160	11	degree	degree	NOUN
cana-3881	160	12	associated	associate	VERB
cana-3881	160	13	edge	edge	NOUN
cana-3881	160	14	reconstruction	reconstruction	NOUN
cana-3881	160	15	number	number	NOUN
cana-3881	160	16	,	,	PUNCT
cana-3881	160	17	in	in	ADP
cana-3881	160	18	:	:	PUNCT
cana-3881	160	19	combinatorial	combinatorial	ADJ
cana-3881	160	20	algorithms	algorithm	NOUN
cana-3881	160	21	,	,	PUNCT
cana-3881	160	22	in	in	ADP
cana-3881	160	23	:	:	PUNCT
cana-3881	160	24	lect	lect	ADJ
cana-3881	160	25	.	.	PUNCT
cana-3881	161	1	notes	note	NOUN
cana-3881	161	2	comput	comput	ADJ
cana-3881	161	3	.	.	PUNCT
cana-3881	162	1	sci	sci	PROPN
cana-3881	162	2	.	.	PROPN
cana-3881	162	3	,	,	PUNCT
cana-3881	162	4	vol	vol	NOUN
cana-3881	162	5	.	.	NOUN
cana-3881	162	6	7643	7643	NUM
cana-3881	162	7	,	,	PUNCT
cana-3881	162	8	springer	springer	NOUN
cana-3881	162	9	-	-	PUNCT
cana-3881	162	10	verlag	verlag	PROPN
cana-3881	162	11	,	,	PUNCT
cana-3881	162	12	berlin	berlin	PROPN
cana-3881	162	13	,	,	PUNCT
cana-3881	162	14	100	100	NUM
cana-3881	162	15	-	-	SYM
cana-3881	162	16	109	109	NUM
cana-3881	162	17	(	(	PUNCT
cana-3881	162	18	2012	2012	NUM
cana-3881	162	19	)	)	PUNCT
cana-3881	162	20	.	.	PUNCT
cana-3881	163	1	[	[	X
cana-3881	163	2	20	20	NUM
cana-3881	163	3	]	]	PUNCT
cana-3881	163	4	s.	s.	PROPN
cana-3881	163	5	monikandan	monikandan	PROPN
cana-3881	163	6	,	,	PUNCT
cana-3881	163	7	p.	p.	NOUN
cana-3881	163	8	anusha	anusha	PROPN
cana-3881	163	9	devi	devi	PROPN
cana-3881	163	10	and	and	CCONJ
cana-3881	163	11	s.	s.	PROPN
cana-3881	163	12	sundar	sundar	PROPN
cana-3881	163	13	raj	raj	PROPN
cana-3881	163	14	,	,	PUNCT
cana-3881	163	15	degree	degree	NOUN
cana-3881	163	16	associated	associate	VERB
cana-3881	163	17	edge	edge	NOUN
cana-3881	163	18	reconstruction	reconstruction	NOUN
cana-3881	163	19	number	number	NOUN
cana-3881	163	20	of	of	ADP
cana-3881	163	21	graphs	graph	NOUN
cana-3881	163	22	,	,	PUNCT
cana-3881	163	23	j.	j.	PROPN
cana-3881	163	24	discrete	discrete	ADJ
cana-3881	163	25	algorithms	algorithm	NOUN
cana-3881	163	26	23	23	NUM
cana-3881	163	27	,	,	PUNCT
cana-3881	163	28	35	35	NUM
cana-3881	163	29	-	-	SYM
cana-3881	163	30	41	41	NUM
cana-3881	163	31	(	(	PUNCT
cana-3881	163	32	2013	2013	NUM
cana-3881	163	33	)	)	PUNCT
cana-3881	163	34	.	.	PUNCT
cana-3881	164	1	[	[	X
cana-3881	164	2	21	21	NUM
cana-3881	164	3	]	]	X
cana-3881	164	4	s.	s.	PROPN
cana-3881	164	5	ramachandran	ramachandran	PROPN
cana-3881	164	6	,	,	PUNCT
cana-3881	164	7	on	on	ADP
cana-3881	164	8	a	a	DET
cana-3881	164	9	new	new	ADJ
cana-3881	164	10	digraph	digraph	ADJ
cana-3881	164	11	reconstruction	reconstruction	NOUN
cana-3881	164	12	conjecture	conjecture	NOUN
cana-3881	164	13	,	,	PUNCT
cana-3881	164	14	j.	j.	PROPN
cana-3881	164	15	combin	combin	PROPN
cana-3881	164	16	.	.	PUNCT
cana-3881	164	17	theory	theory	NOUN
cana-3881	164	18	ser	ser	PROPN
cana-3881	164	19	.	.	PUNCT
cana-3881	165	1	b	b	PROPN
cana-3881	165	2	31	31	NUM
cana-3881	165	3	,	,	PUNCT
cana-3881	165	4	143	143	NUM
cana-3881	165	5	-	-	SYM
cana-3881	165	6	149	149	NUM
cana-3881	165	7	(	(	PUNCT
cana-3881	165	8	1981	1981	NUM
cana-3881	165	9	)	)	PUNCT
cana-3881	165	10	.	.	PUNCT
cana-3881	166	1	[	[	X
cana-3881	166	2	22	22	NUM
cana-3881	166	3	]	]	PUNCT
cana-3881	166	4	s.	s.	PROPN
cana-3881	166	5	ramachandran	ramachandran	PROPN
cana-3881	166	6	,	,	PUNCT
cana-3881	166	7	degree	degree	NOUN
cana-3881	166	8	associated	associate	VERB
cana-3881	166	9	reconstruction	reconstruction	NOUN
cana-3881	166	10	number	number	NOUN
cana-3881	166	11	of	of	ADP
cana-3881	166	12	graphs	graph	NOUN
cana-3881	166	13	and	and	CCONJ
cana-3881	166	14	digraphs	digraph	NOUN
cana-3881	166	15	,	,	PUNCT
cana-3881	166	16	mano	mano	PROPN
cana-3881	166	17	.	.	PUNCT
cana-3881	166	18	int	int	PROPN
cana-3881	166	19	.	.	PUNCT
cana-3881	167	1	j.	j.	PROPN
cana-3881	167	2	math	math	PROPN
cana-3881	167	3	.	.	PUNCT
cana-3881	168	1	scis	scis	PROPN
cana-3881	168	2	.	.	PROPN
cana-3881	168	3	1	1	NUM
cana-3881	168	4	,	,	PUNCT
cana-3881	168	5	41	41	NUM
cana-3881	168	6	-	-	SYM
cana-3881	168	7	53	53	NUM
cana-3881	168	8	(	(	PUNCT
cana-3881	168	9	2000	2000	NUM
cana-3881	168	10	)	)	PUNCT
cana-3881	168	11	.	.	PUNCT
cana-3881	169	1	[	[	X
cana-3881	169	2	23	23	NUM
cana-3881	169	3	]	]	PUNCT
cana-3881	169	4	s.	s.	PROPN
cana-3881	169	5	ramachandran	ramachandran	PROPN
cana-3881	169	6	,	,	PUNCT
cana-3881	169	7	reconstruction	reconstruction	NOUN
cana-3881	169	8	number	number	NOUN
cana-3881	169	9	for	for	ADP
cana-3881	169	10	ulam	ulam	PROPN
cana-3881	169	11	’s	’s	PART
cana-3881	169	12	conjecture	conjecture	NOUN
cana-3881	169	13	.	.	PUNCT
cana-3881	170	1	ars	ars	PROPN
cana-3881	170	2	combin	combin	NOUN
cana-3881	170	3	.	.	PUNCT
cana-3881	171	1	78,2̃89296(̃2006	78,2̃89296(̃2006	NUM
cana-3881	171	2	)	)	PUNCT
cana-3881	171	3	.	.	PUNCT
cana-3881	172	1	[	[	X
cana-3881	172	2	24	24	NUM
cana-3881	172	3	]	]	X
cana-3881	172	4	s.	s.	PROPN
cana-3881	172	5	ramachandran	ramachandran	PROPN
cana-3881	172	6	and	and	CCONJ
cana-3881	172	7	s.	s.	PROPN
cana-3881	172	8	monikandan	monikandan	PROPN
cana-3881	172	9	,	,	PUNCT
cana-3881	172	10	graphs	graph	NOUN
cana-3881	172	11	with	with	ADP
cana-3881	172	12	n	n	ADV
cana-3881	172	13	−	−	PROPN
cana-3881	172	14	3	3	NUM
cana-3881	172	15	isomorphic	isomorphic	ADJ
cana-3881	172	16	vertex	vertex	NOUN
cana-3881	172	17	-	-	PUNCT
cana-3881	172	18	deleted	delete	VERB
cana-3881	172	19	subgraphs	subgraph	NOUN
cana-3881	172	20	,	,	PUNCT
cana-3881	172	21	and	and	CCONJ
cana-3881	172	22	their	their	PRON
cana-3881	172	23	reconstructibility	reconstructibility	NOUN
cana-3881	172	24	,	,	PUNCT
cana-3881	172	25	utilitas	utilitas	PROPN
cana-3881	172	26	mathematica	mathematica	PROPN
cana-3881	172	27	75	75	NUM
cana-3881	172	28	,	,	PUNCT
cana-3881	172	29	225	225	NUM
cana-3881	172	30	-	-	SYM
cana-3881	172	31	248	248	NUM
cana-3881	172	32	(	(	PUNCT
cana-3881	172	33	2008	2008	NUM
cana-3881	172	34	)	)	PUNCT
cana-3881	172	35	.	.	PUNCT
cana-3881	173	1	[	[	X
cana-3881	173	2	25	25	NUM
cana-3881	173	3	]	]	PUNCT
cana-3881	174	1	p.	p.	NOUN
cana-3881	174	2	k.	k.	PROPN
cana-3881	175	1	stockmeyer	stockmeyer	PROPN
cana-3881	175	2	,	,	PUNCT
cana-3881	175	3	the	the	DET
cana-3881	175	4	falsity	falsity	NOUN
cana-3881	175	5	of	of	ADP
cana-3881	175	6	the	the	DET
cana-3881	175	7	reconstruction	reconstruction	NOUN
cana-3881	175	8	conjecture	conjecture	NOUN
cana-3881	175	9	for	for	ADP
cana-3881	175	10	tournaments	tournament	NOUN
cana-3881	175	11	,	,	PUNCT
cana-3881	175	12	j.	j.	PROPN
cana-3881	175	13	graph	graph	PROPN
cana-3881	175	14	theory	theory	NOUN
cana-3881	175	15	1	1	NUM
cana-3881	175	16	,	,	PUNCT
cana-3881	175	17	19	19	NUM
cana-3881	175	18	-	-	SYM
cana-3881	175	19	25	25	NUM
cana-3881	175	20	(	(	PUNCT
cana-3881	175	21	1977	1977	NUM
cana-3881	175	22	)	)	PUNCT
cana-3881	175	23	.	.	PUNCT
cana-3881	176	1	[	[	X
cana-3881	176	2	26	26	NUM
cana-3881	176	3	]	]	PUNCT
cana-3881	176	4	s.	s.	PROPN
cana-3881	176	5	m.	m.	PROPN
cana-3881	176	6	ulam	ulam	PROPN
cana-3881	176	7	,	,	PUNCT
cana-3881	176	8	a	a	DET
cana-3881	176	9	collection	collection	NOUN
cana-3881	176	10	of	of	ADP
cana-3881	176	11	mathematical	mathematical	ADJ
cana-3881	176	12	problems	problem	NOUN
cana-3881	176	13	,	,	PUNCT
cana-3881	176	14	interscience	interscience	NOUN
cana-3881	176	15	tracts	tract	NOUN
cana-3881	176	16	in	in	ADP
cana-3881	176	17	pure	pure	ADJ
cana-3881	176	18	and	and	CCONJ
cana-3881	176	19	applied	apply	VERB
cana-3881	176	20	mathematics	mathematic	NOUN
cana-3881	176	21	8	8	NUM
cana-3881	176	22	,	,	PUNCT
cana-3881	176	23	(	(	PUNCT
cana-3881	176	24	interscience	interscience	NOUN
cana-3881	176	25	publishers	publisher	NOUN
cana-3881	176	26	,	,	PUNCT
cana-3881	176	27	1960	1960	NUM
cana-3881	176	28	)	)	PUNCT
cana-3881	176	29	.	.	PUNCT