id	sid	tid	token	lemma	pos
cana-5661	1	1	communications	communication	NOUN
cana-5661	1	2	on	on	ADP
cana-5661	1	3	applied	apply	VERB
cana-5661	1	4	nonlinear	nonlinear	ADJ
cana-5661	1	5	analysis	analysis	NOUN
cana-5661	1	6	issn	issn	NOUN
cana-5661	1	7	:	:	PUNCT
cana-5661	1	8	1074	1074	NUM
cana-5661	1	9	-	-	PUNCT
cana-5661	1	10	133x	133x	NUM
cana-5661	1	11	vol	vol	NOUN
cana-5661	1	12	31	31	NUM
cana-5661	1	13	no	no	NOUN
cana-5661	1	14	.	.	PUNCT
cana-5661	2	1	7s	7	NOUN
cana-5661	2	2	(	(	PUNCT
cana-5661	2	3	2024	2024	NUM
cana-5661	2	4	)	)	PUNCT
cana-5661	2	5	745	745	NUM
cana-5661	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	2	7	the	the	DET
cana-5661	2	8	non	non	NOUN
cana-5661	2	9	split	split	VERB
cana-5661	2	10	eccentric	eccentric	ADJ
cana-5661	2	11	domination	domination	NOUN
cana-5661	2	12	number	number	NOUN
cana-5661	2	13	of	of	ADP
cana-5661	2	14	corona	corona	NOUN
cana-5661	2	15	product	product	NOUN
cana-5661	2	16	and	and	CCONJ
cana-5661	2	17	join	join	NOUN
cana-5661	2	18	of	of	ADP
cana-5661	2	19	some	some	DET
cana-5661	2	20	standard	standard	ADJ
cana-5661	2	21	graphs	graph	NOUN
cana-5661	2	22	sudhasenthil1	sudhasenthil1	NOUN
cana-5661	3	1	and	and	CCONJ
cana-5661	3	2	n.anbarasi2	n.anbarasi2	VERB
cana-5661	3	3	1s.d.n.b	1s.d.n.b	PROPN
cana-5661	3	4	.	.	PUNCT
cana-5661	4	1	vaishnav	vaishnav	PROPN
cana-5661	4	2	college	college	PROPN
cana-5661	4	3	for	for	ADP
cana-5661	4	4	women	woman	NOUN
cana-5661	4	5	(	(	PUNCT
cana-5661	4	6	autonomous	autonomous	ADJ
cana-5661	4	7	)	)	PUNCT
cana-5661	4	8	chennai	chennai	NOUN
cana-5661	4	9	600	600	NUM
cana-5661	4	10	044	044	NUM
cana-5661	4	11	,	,	PUNCT
cana-5661	4	12	india	india	PROPN
cana-5661	4	13	e	e	PROPN
cana-5661	4	14	-	-	NOUN
cana-5661	4	15	mail	mail	NOUN
cana-5661	4	16	:	:	PUNCT
cana-5661	5	1	drsudhasenthilmaths@gmail.com	drsudhasenthilmaths@gmail.com	X
cana-5661	6	1	2s.d.n.b	2s.d.n.b	X
cana-5661	6	2	.	.	PUNCT
cana-5661	7	1	vaishnav	vaishnav	PROPN
cana-5661	7	2	college	college	PROPN
cana-5661	7	3	for	for	ADP
cana-5661	7	4	women	woman	NOUN
cana-5661	7	5	(	(	PUNCT
cana-5661	7	6	autonomous	autonomous	ADJ
cana-5661	7	7	)	)	PUNCT
cana-5661	7	8	chennai	chennai	NOUN
cana-5661	7	9	600	600	NUM
cana-5661	7	10	044	044	NUM
cana-5661	7	11	,	,	PUNCT
cana-5661	7	12	india	india	PROPN
cana-5661	7	13	e	e	PROPN
cana-5661	7	14	-	-	NOUN
cana-5661	7	15	mail	mail	NOUN
cana-5661	7	16	:	:	PUNCT
cana-5661	7	17	anbarasimohan22@gmail.com	anbarasimohan22@gmail.com	X
cana-5661	7	18	article	article	NOUN
cana-5661	7	19	history	history	NOUN
cana-5661	7	20	:	:	PUNCT
cana-5661	7	21	received	receive	VERB
cana-5661	7	22	:	:	PUNCT
cana-5661	7	23	12	12	NUM
cana-5661	7	24	-	-	SYM
cana-5661	7	25	08	08	NUM
cana-5661	7	26	-	-	PUNCT
cana-5661	7	27	2024	2024	NUM
cana-5661	7	28	revised	revise	VERB
cana-5661	7	29	:	:	PUNCT
cana-5661	7	30	15	15	NUM
cana-5661	7	31	-	-	SYM
cana-5661	7	32	09	09	NUM
cana-5661	7	33	-	-	PUNCT
cana-5661	7	34	2024	2024	NUM
cana-5661	7	35	accepted	accept	VERB
cana-5661	7	36	:	:	PUNCT
cana-5661	7	37	25	25	NUM
cana-5661	7	38	-	-	SYM
cana-5661	7	39	10	10	NUM
cana-5661	7	40	-	-	PUNCT
cana-5661	7	41	2024	2024	NUM
cana-5661	7	42	abstract	abstract	NOUN
cana-5661	7	43	:	:	PUNCT
cana-5661	7	44	a	a	DET
cana-5661	7	45	subset	subset	NOUN
cana-5661	7	46	d	d	NOUN
cana-5661	7	47	of	of	ADP
cana-5661	7	48	the	the	DET
cana-5661	7	49	vertex	vertex	NOUN
cana-5661	7	50	set	set	VERB
cana-5661	7	51	v(g	v(g	PROPN
cana-5661	7	52	)	)	PUNCT
cana-5661	7	53	of	of	ADP
cana-5661	7	54	a	a	DET
cana-5661	7	55	graph	graph	NOUN
cana-5661	7	56	g	g	NOUN
cana-5661	7	57	is	be	AUX
cana-5661	7	58	said	say	VERB
cana-5661	7	59	to	to	PART
cana-5661	7	60	be	be	AUX
cana-5661	7	61	a	a	DET
cana-5661	7	62	dominating	dominating	NOUN
cana-5661	7	63	set	set	NOUN
cana-5661	7	64	if	if	SCONJ
cana-5661	7	65	every	every	DET
cana-5661	7	66	vertex	vertex	NOUN
cana-5661	7	67	not	not	PART
cana-5661	7	68	in	in	ADP
cana-5661	7	69	d	d	PROPN
cana-5661	7	70	is	be	AUX
cana-5661	7	71	adjacent	adjacent	ADJ
cana-5661	7	72	to	to	ADP
cana-5661	7	73	at	at	ADV
cana-5661	7	74	least	least	ADV
cana-5661	7	75	one	one	NUM
cana-5661	7	76	vertex	vertex	NOUN
cana-5661	7	77	in	in	ADP
cana-5661	7	78	d.	d.	PROPN
cana-5661	7	79	a	a	DET
cana-5661	7	80	dominating	dominating	NOUN
cana-5661	7	81	set	set	NOUN
cana-5661	7	82	d	d	NOUN
cana-5661	7	83	is	be	AUX
cana-5661	7	84	said	say	VERB
cana-5661	7	85	to	to	PART
cana-5661	7	86	be	be	AUX
cana-5661	7	87	an	an	DET
cana-5661	7	88	eccentric	eccentric	ADJ
cana-5661	7	89	dominating	dominating	NOUN
cana-5661	7	90	set	set	VERB
cana-5661	7	91	if	if	SCONJ
cana-5661	7	92	for	for	ADP
cana-5661	7	93	every	every	PRON
cana-5661	7	94	,	,	PUNCT
cana-5661	7	95	there	there	PRON
cana-5661	7	96	exists	exist	VERB
cana-5661	7	97	at	at	ADP
cana-5661	7	98	least	least	ADV
cana-5661	7	99	one	one	NUM
cana-5661	7	100	eccentric	eccentric	ADJ
cana-5661	7	101	point	point	NOUN
cana-5661	7	102	of	of	ADP
cana-5661	7	103	v	v	NOUN
cana-5661	7	104	in	in	ADP
cana-5661	7	105	d.	d.	PROPN
cana-5661	7	106	an	an	DET
cana-5661	7	107	eccentric	eccentric	ADJ
cana-5661	7	108	dominating	dominating	NOUN
cana-5661	7	109	set	set	NOUN
cana-5661	7	110	d	d	NOUN
cana-5661	7	111	of	of	ADP
cana-5661	7	112	g	g	PROPN
cana-5661	7	113	is	be	AUX
cana-5661	7	114	a	a	DET
cana-5661	7	115	non	non	NOUN
cana-5661	7	116	split	split	ADJ
cana-5661	7	117	eccentric	eccentric	ADJ
cana-5661	7	118	dominating	dominating	NOUN
cana-5661	7	119	set	set	NOUN
cana-5661	7	120	if	if	SCONJ
cana-5661	7	121	the	the	DET
cana-5661	7	122	induced	induced	ADJ
cana-5661	7	123	sub	sub	NOUN
cana-5661	7	124	graph	graph	NOUN
cana-5661	7	125	<	<	X
cana-5661	7	126	vd	vd	X
cana-5661	7	127	>	>	X
cana-5661	7	128	is	be	AUX
cana-5661	7	129	connected	connect	VERB
cana-5661	7	130	.	.	PUNCT
cana-5661	8	1	the	the	DET
cana-5661	8	2	minimum	minimum	NOUN
cana-5661	8	3	of	of	ADP
cana-5661	8	4	the	the	DET
cana-5661	8	5	cardinalities	cardinality	NOUN
cana-5661	8	6	of	of	ADP
cana-5661	8	7	the	the	DET
cana-5661	8	8	non	non	NOUN
cana-5661	8	9	split	split	ADJ
cana-5661	8	10	eccentric	eccentric	ADJ
cana-5661	8	11	dominating	dominating	NOUN
cana-5661	8	12	sets	set	NOUN
cana-5661	8	13	of	of	ADP
cana-5661	8	14	g	g	PROPN
cana-5661	8	15	is	be	AUX
cana-5661	8	16	called	call	VERB
cana-5661	8	17	the	the	DET
cana-5661	8	18	non	non	NOUN
cana-5661	8	19	split	split	ADJ
cana-5661	8	20	eccentric	eccentric	ADJ
cana-5661	8	21	domination	domination	NOUN
cana-5661	8	22	number	number	NOUN
cana-5661	8	23	of	of	ADP
cana-5661	8	24	g.	g.	PROPN
cana-5661	8	25	this	this	DET
cana-5661	8	26	paper	paper	NOUN
cana-5661	8	27	evaluates	evaluate	VERB
cana-5661	8	28	the	the	DET
cana-5661	8	29	non	non	NOUN
cana-5661	8	30	split	split	VERB
cana-5661	8	31	eccentric	eccentric	ADJ
cana-5661	8	32	domination	domination	NOUN
cana-5661	8	33	number	number	NOUN
cana-5661	8	34	of	of	ADP
cana-5661	8	35	corona	corona	NOUN
cana-5661	8	36	product	product	NOUN
cana-5661	8	37	and	and	CCONJ
cana-5661	8	38	join	join	NOUN
cana-5661	8	39	of	of	ADP
cana-5661	8	40	some	some	DET
cana-5661	8	41	standard	standard	ADJ
cana-5661	8	42	graphs	graph	NOUN
cana-5661	8	43	.	.	PUNCT
cana-5661	9	1	keywords	keyword	NOUN
cana-5661	9	2	:	:	PUNCT
cana-5661	9	3	domination	domination	NOUN
cana-5661	9	4	,	,	PUNCT
cana-5661	9	5	eccentric	eccentric	ADJ
cana-5661	9	6	domination	domination	NOUN
cana-5661	9	7	,	,	PUNCT
cana-5661	9	8	non	non	X
cana-5661	9	9	split	split	VERB
cana-5661	9	10	eccentric	eccentric	ADJ
cana-5661	9	11	domination	domination	NOUN
cana-5661	9	12	,	,	PUNCT
cana-5661	9	13	corona	corona	NOUN
cana-5661	9	14	product	product	NOUN
cana-5661	9	15	,	,	PUNCT
cana-5661	9	16	join	join	NOUN
cana-5661	9	17	.	.	PUNCT
cana-5661	10	1	1	1	X
cana-5661	10	2	.	.	X
cana-5661	10	3	introduction	introduction	NOUN
cana-5661	10	4	let	let	VERB
cana-5661	10	5	g	g	PRON
cana-5661	10	6	be	be	AUX
cana-5661	10	7	a	a	DET
cana-5661	10	8	finite	finite	NOUN
cana-5661	10	9	,	,	PUNCT
cana-5661	10	10	simple	simple	ADJ
cana-5661	10	11	undirected	undirected	ADJ
cana-5661	10	12	graph	graph	NOUN
cana-5661	10	13	on	on	ADP
cana-5661	10	14	p	p	NOUN
cana-5661	10	15	vertices	vertex	NOUN
cana-5661	10	16	and	and	CCONJ
cana-5661	10	17	q	q	NOUN
cana-5661	10	18	edges	edge	NOUN
cana-5661	10	19	with	with	ADP
cana-5661	10	20	vertex	vertex	NOUN
cana-5661	10	21	set	set	VERB
cana-5661	10	22	v(g	v(g	PROPN
cana-5661	10	23	)	)	PUNCT
cana-5661	10	24	and	and	CCONJ
cana-5661	10	25	edge	edge	NOUN
cana-5661	10	26	set	set	VERB
cana-5661	10	27	e(g	e(g	PROPN
cana-5661	10	28	)	)	PUNCT
cana-5661	10	29	.	.	PUNCT
cana-5661	11	1	for	for	SCONJ
cana-5661	11	2	graph	graph	NOUN
cana-5661	11	3	theoretic	theoretic	ADJ
cana-5661	11	4	terminology	terminology	NOUN
cana-5661	11	5	refer	refer	VERB
cana-5661	11	6	harary	harary	NOUN
cana-5661	11	7	[	[	X
cana-5661	11	8	8	8	NUM
cana-5661	11	9	]	]	X
cana-5661	11	10	buckley	buckley	NOUN
cana-5661	11	11	and	and	CCONJ
cana-5661	11	12	harary	harary	NOUN
cana-5661	12	1	[	[	X
cana-5661	12	2	5	5	NUM
cana-5661	12	3	]	]	PUNCT
cana-5661	12	4	.	.	PUNCT
cana-5661	13	1	in	in	ADP
cana-5661	13	2	2010	2010	NUM
cana-5661	13	3	t.n	t.n	PROPN
cana-5661	13	4	.	.	PROPN
cana-5661	13	5	janakiraman	janakiraman	PROPN
cana-5661	13	6	m.	m.	NOUN
cana-5661	13	7	bhanumathi	bhanumathi	PROPN
cana-5661	13	8	and	and	CCONJ
cana-5661	13	9	s.	s.	PROPN
cana-5661	13	10	muthammai	muthammai	PROPN
cana-5661	13	11	defined	define	VERB
cana-5661	13	12	an	an	DET
cana-5661	13	13	eccentric	eccentric	ADJ
cana-5661	13	14	domination	domination	NOUN
cana-5661	13	15	in	in	ADP
cana-5661	13	16	graph	graph	NOUN
cana-5661	13	17	[	[	X
cana-5661	13	18	9	9	NUM
cana-5661	13	19	]	]	PUNCT
cana-5661	13	20	.	.	PUNCT
cana-5661	14	1	v.r	v.r	PROPN
cana-5661	14	2	.	.	PROPN
cana-5661	14	3	kulli	kulli	PROPN
cana-5661	14	4	and	and	CCONJ
cana-5661	14	5	janakiram	janakiram	PROPN
cana-5661	14	6	introduced	introduce	VERB
cana-5661	14	7	the	the	DET
cana-5661	14	8	concept	concept	NOUN
cana-5661	14	9	of	of	ADP
cana-5661	14	10	split	split	NOUN
cana-5661	14	11	and	and	CCONJ
cana-5661	14	12	nonsplit	nonsplit	VERB
cana-5661	14	13	domination	domination	NOUN
cana-5661	14	14	number	number	NOUN
cana-5661	14	15	of	of	ADP
cana-5661	14	16	a	a	DET
cana-5661	14	17	graph	graph	NOUN
cana-5661	14	18	in	in	ADP
cana-5661	14	19	1997	1997	NUM
cana-5661	14	20	[	[	X
cana-5661	14	21	11	11	NUM
cana-5661	14	22	]	]	PUNCT
cana-5661	14	23	and	and	CCONJ
cana-5661	14	24	in	in	ADP
cana-5661	14	25	2000	2000	NUM
cana-5661	14	26	[	[	X
cana-5661	14	27	12	12	NUM
cana-5661	14	28	]	]	PUNCT
cana-5661	14	29	m.	m.	NOUN
cana-5661	14	30	bhanumathi	bhanumathi	NOUN
cana-5661	14	31	and	and	CCONJ
cana-5661	14	32	sudhasenthil	sudhasenthil	PROPN
cana-5661	14	33	introduced	introduce	VERB
cana-5661	14	34	the	the	DET
cana-5661	14	35	cocept	cocept	NOUN
cana-5661	14	36	of	of	ADP
cana-5661	14	37	split	split	NOUN
cana-5661	14	38	and	and	CCONJ
cana-5661	14	39	nonsplit	nonsplit	VERB
cana-5661	14	40	eccentric	eccentric	ADJ
cana-5661	14	41	domination	domination	NOUN
cana-5661	14	42	number	number	NOUN
cana-5661	14	43	of	of	ADP
cana-5661	14	44	a	a	DET
cana-5661	14	45	graphs	graph	NOUN
cana-5661	14	46	in	in	ADP
cana-5661	14	47	2014	2014	NUM
cana-5661	14	48	[	[	X
cana-5661	14	49	4	4	NUM
cana-5661	14	50	]	]	PUNCT
cana-5661	14	51	.	.	PUNCT
cana-5661	15	1	motivated	motivate	VERB
cana-5661	15	2	by	by	ADP
cana-5661	15	3	these	these	PRON
cana-5661	15	4	,	,	PUNCT
cana-5661	15	5	we	we	PRON
cana-5661	15	6	have	have	AUX
cana-5661	15	7	defined	define	VERB
cana-5661	15	8	nonsplit	nonsplit	VERB
cana-5661	15	9	eccentric	eccentric	ADJ
cana-5661	15	10	domination	domination	NOUN
cana-5661	15	11	number	number	NOUN
cana-5661	15	12	of	of	ADP
cana-5661	15	13	corona	corona	NOUN
cana-5661	15	14	product	product	NOUN
cana-5661	15	15	and	and	CCONJ
cana-5661	15	16	join	join	NOUN
cana-5661	15	17	of	of	ADP
cana-5661	15	18	some	some	DET
cana-5661	15	19	standard	standard	ADJ
cana-5661	15	20	graphs	graph	NOUN
cana-5661	15	21	.	.	PUNCT
cana-5661	16	1	let	let	VERB
cana-5661	16	2	g	g	PRON
cana-5661	16	3	be	be	AUX
cana-5661	16	4	a	a	DET
cana-5661	16	5	connected	connected	ADJ
cana-5661	16	6	graph	graph	NOUN
cana-5661	16	7	and	and	CCONJ
cana-5661	16	8	v	v	AUX
cana-5661	16	9	be	be	AUX
cana-5661	16	10	a	a	DET
cana-5661	16	11	vertex	vertex	NOUN
cana-5661	16	12	of	of	ADP
cana-5661	16	13	g.	g.	PROPN
cana-5661	16	14	the	the	DET
cana-5661	16	15	eccentricity	eccentricity	NOUN
cana-5661	16	16	e(v	e(v	NOUN
cana-5661	16	17	)	)	PUNCT
cana-5661	16	18	of	of	ADP
cana-5661	16	19	v	v	NUM
cana-5661	16	20	is	be	AUX
cana-5661	16	21	the	the	DET
cana-5661	16	22	distance	distance	NOUN
cana-5661	16	23	to	to	ADP
cana-5661	16	24	a	a	DET
cana-5661	16	25	vertex	vertex	NOUN
cana-5661	16	26	farthest	farth	ADJ
cana-5661	16	27	from	from	ADP
cana-5661	16	28	v.	v.	ADP
cana-5661	16	29	thus	thus	ADV
cana-5661	16	30	,	,	PUNCT
cana-5661	16	31	e(v	e(v	NOUN
cana-5661	16	32	)	)	PUNCT
cana-5661	16	33	=	=	SYM
cana-5661	16	34	max{d(u	max{d(u	PROPN
cana-5661	16	35	,	,	PUNCT
cana-5661	16	36	v	v	NOUN
cana-5661	16	37	):	):	PUNCT
cana-5661	16	38	u	u	PROPN
cana-5661	16	39			NOUN
cana-5661	16	40	v	v	ADP
cana-5661	16	41	}	}	PUNCT
cana-5661	16	42	.	.	PUNCT
cana-5661	17	1	the	the	DET
cana-5661	17	2	radius	radius	NOUN
cana-5661	17	3	r(g	r(g	NOUN
cana-5661	17	4	)	)	PUNCT
cana-5661	17	5	is	be	AUX
cana-5661	17	6	the	the	DET
cana-5661	17	7	minimum	minimum	ADJ
cana-5661	17	8	eccentricity	eccentricity	NOUN
cana-5661	17	9	of	of	ADP
cana-5661	17	10	the	the	DET
cana-5661	17	11	vertices	vertex	NOUN
cana-5661	17	12	whereas	whereas	SCONJ
cana-5661	17	13	the	the	DET
cana-5661	17	14	diameter	diameter	NOUN
cana-5661	17	15	diam(g	diam(g	NOUN
cana-5661	17	16	)	)	PUNCT
cana-5661	17	17	is	be	AUX
cana-5661	17	18	the	the	DET
cana-5661	17	19	maximum	maximum	ADJ
cana-5661	17	20	eccentricity	eccentricity	NOUN
cana-5661	17	21	.	.	PUNCT
cana-5661	18	1	for	for	ADP
cana-5661	18	2	any	any	DET
cana-5661	18	3	connected	connected	ADJ
cana-5661	18	4	graph	graph	NOUN
cana-5661	18	5	g	g	NOUN
cana-5661	18	6	,	,	PUNCT
cana-5661	18	7	r(g	r(g	NUM
cana-5661	18	8	)	)	PUNCT
cana-5661	18	9			NUM
cana-5661	18	10	diam(g	diam(g	NOUN
cana-5661	18	11	)	)	PUNCT
cana-5661	18	12			NOUN
cana-5661	18	13	2r(g	2r(g	NUM
cana-5661	18	14	)	)	PUNCT
cana-5661	18	15	.	.	PUNCT
cana-5661	19	1	v	v	NOUN
cana-5661	19	2	is	be	AUX
cana-5661	19	3	a	a	DET
cana-5661	19	4	central	central	ADJ
cana-5661	19	5	vertex	vertex	NOUN
cana-5661	19	6	if	if	SCONJ
cana-5661	19	7	e(v	e(v	NOUN
cana-5661	19	8	)	)	PUNCT
cana-5661	19	9	=	=	SYM
cana-5661	19	10	r(g	r(g	NUM
cana-5661	19	11	)	)	PUNCT
cana-5661	19	12	.	.	PUNCT
cana-5661	20	1	the	the	DET
cana-5661	20	2	center	center	NOUN
cana-5661	20	3	c(g	c(g	PROPN
cana-5661	20	4	)	)	PUNCT
cana-5661	20	5	is	be	AUX
cana-5661	20	6	the	the	DET
cana-5661	20	7	set	set	NOUN
cana-5661	20	8	of	of	ADP
cana-5661	20	9	all	all	DET
cana-5661	20	10	central	central	ADJ
cana-5661	20	11	vertices	vertex	NOUN
cana-5661	20	12	.	.	PUNCT
cana-5661	21	1	the	the	DET
cana-5661	21	2	central	central	ADJ
cana-5661	21	3	subgraph	subgraph	NOUN
cana-5661	21	4	<	<	X
cana-5661	21	5	c(g	c(g	PROPN
cana-5661	21	6	)	)	PUNCT
cana-5661	21	7	>	>	X
cana-5661	21	8	of	of	ADP
cana-5661	21	9	a	a	DET
cana-5661	21	10	graph	graph	NOUN
cana-5661	21	11	g	g	NOUN
cana-5661	21	12	is	be	AUX
cana-5661	21	13	the	the	DET
cana-5661	21	14	subgraph	subgraph	NOUN
cana-5661	21	15	induced	induce	VERB
cana-5661	21	16	by	by	ADP
cana-5661	21	17	the	the	DET
cana-5661	21	18	center	center	NOUN
cana-5661	21	19	v	v	NOUN
cana-5661	21	20	is	be	AUX
cana-5661	21	21	a	a	DET
cana-5661	21	22	peripheral	peripheral	ADJ
cana-5661	21	23	vertex	vertex	NOUN
cana-5661	21	24	if	if	SCONJ
cana-5661	21	25	e(v	e(v	NOUN
cana-5661	21	26	)	)	PUNCT
cana-5661	21	27	=	=	SYM
cana-5661	21	28	d(g	d(g	PROPN
cana-5661	21	29	)	)	PUNCT
cana-5661	21	30	.	.	PUNCT
cana-5661	22	1	the	the	DET
cana-5661	22	2	periphery	periphery	PROPN
cana-5661	22	3	p(g	p(g	PROPN
cana-5661	22	4	)	)	PUNCT
cana-5661	22	5	is	be	AUX
cana-5661	22	6	the	the	DET
cana-5661	22	7	set	set	NOUN
cana-5661	22	8	of	of	ADP
cana-5661	22	9	all	all	DET
cana-5661	22	10	peripheral	peripheral	ADJ
cana-5661	22	11	vertices	vertex	NOUN
cana-5661	22	12	.	.	PUNCT
cana-5661	23	1	communications	communication	NOUN
cana-5661	23	2	on	on	ADP
cana-5661	23	3	applied	apply	VERB
cana-5661	23	4	nonlinear	nonlinear	ADJ
cana-5661	23	5	analysis	analysis	NOUN
cana-5661	23	6	issn	issn	NOUN
cana-5661	23	7	:	:	PUNCT
cana-5661	23	8	1074	1074	NUM
cana-5661	23	9	-	-	PUNCT
cana-5661	23	10	133x	133x	NUM
cana-5661	23	11	vol	vol	NOUN
cana-5661	23	12	31	31	NUM
cana-5661	23	13	no	no	NOUN
cana-5661	23	14	.	.	PUNCT
cana-5661	24	1	7s	7	NOUN
cana-5661	24	2	(	(	PUNCT
cana-5661	24	3	2024	2024	NUM
cana-5661	24	4	)	)	PUNCT
cana-5661	24	5	746	746	NUM
cana-5661	24	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	24	7	for	for	ADP
cana-5661	24	8	a	a	DET
cana-5661	24	9	vertex	vertex	NOUN
cana-5661	24	10	v	v	NOUN
cana-5661	24	11	,	,	PUNCT
cana-5661	24	12	each	each	DET
cana-5661	24	13	vertex	vertex	NOUN
cana-5661	24	14	at	at	ADP
cana-5661	24	15	a	a	DET
cana-5661	24	16	distance	distance	NOUN
cana-5661	24	17	e(v	e(v	NOUN
cana-5661	24	18	)	)	PUNCT
cana-5661	24	19	from	from	ADP
cana-5661	24	20	v	v	NUM
cana-5661	24	21	is	be	AUX
cana-5661	24	22	an	an	DET
cana-5661	24	23	eccentric	eccentric	ADJ
cana-5661	24	24	vertex	vertex	NOUN
cana-5661	24	25	of	of	ADP
cana-5661	24	26	v.	v.	ADP
cana-5661	24	27	eccentric	eccentric	ADJ
cana-5661	24	28	set	set	NOUN
cana-5661	24	29	of	of	ADP
cana-5661	24	30	a	a	DET
cana-5661	24	31	vertex	vertex	NOUN
cana-5661	24	32	v	v	NOUN
cana-5661	24	33	is	be	AUX
cana-5661	24	34	defined	define	VERB
cana-5661	24	35	as	as	ADP
cana-5661	24	36	e(v	e(v	NOUN
cana-5661	24	37	)	)	PUNCT
cana-5661	24	38	=	=	PRON
cana-5661	24	39	{	{	PUNCT
cana-5661	24	40	u	u	PRON
cana-5661	24	41			NOUN
cana-5661	24	42	v(g	v(g	PROPN
cana-5661	24	43	)	)	PUNCT
cana-5661	24	44	/	/	SYM
cana-5661	24	45	d(u	d(u	PROPN
cana-5661	24	46	,	,	PUNCT
cana-5661	24	47	v	v	NOUN
cana-5661	24	48	)	)	PUNCT
cana-5661	24	49	=	=	SYM
cana-5661	24	50	e(v	e(v	NOUN
cana-5661	24	51	)	)	PUNCT
cana-5661	24	52	}	}	PUNCT
cana-5661	24	53	.	.	PUNCT
cana-5661	25	1	the	the	DET
cana-5661	25	2	open	open	ADJ
cana-5661	25	3	neighbourhood	neighbourhood	NOUN
cana-5661	25	4	n(v	n(v	NOUN
cana-5661	25	5	)	)	PUNCT
cana-5661	25	6	of	of	ADP
cana-5661	25	7	a	a	DET
cana-5661	25	8	vertex	vertex	NOUN
cana-5661	25	9	v	v	NOUN
cana-5661	25	10	is	be	AUX
cana-5661	25	11	the	the	DET
cana-5661	25	12	set	set	NOUN
cana-5661	25	13	of	of	ADP
cana-5661	25	14	all	all	DET
cana-5661	25	15	vertices	vertex	NOUN
cana-5661	25	16	adjacent	adjacent	ADJ
cana-5661	25	17	to	to	ADP
cana-5661	25	18	v	v	NOUN
cana-5661	25	19	in	in	ADP
cana-5661	25	20	v.	v.	ADP
cana-5661	25	21	n[v	n[v	ADV
cana-5661	25	22	]	]	X
cana-5661	25	23	=	=	SYM
cana-5661	25	24	n(v	n(v	PROPN
cana-5661	25	25	)	)	PUNCT
cana-5661	25	26			NOUN
cana-5661	25	27	{	{	PUNCT
cana-5661	25	28	v	v	NOUN
cana-5661	25	29	}	}	PUNCT
cana-5661	25	30	is	be	AUX
cana-5661	25	31	called	call	VERB
cana-5661	25	32	the	the	DET
cana-5661	25	33	closed	closed	ADJ
cana-5661	25	34	neighbourhood	neighbourhood	NOUN
cana-5661	25	35	of	of	ADP
cana-5661	25	36	v.	v.	NOUN
cana-5661	25	37	for	for	ADP
cana-5661	25	38	a	a	DET
cana-5661	25	39	v	v	ADJ
cana-5661	25	40			NOUN
cana-5661	25	41	v(g	v(g	PROPN
cana-5661	25	42	)	)	PUNCT
cana-5661	25	43	.	.	PUNCT
cana-5661	26	1	ni(v	ni(v	NUM
cana-5661	26	2	)	)	PUNCT
cana-5661	27	1	=	=	PRON
cana-5661	27	2	{	{	PUNCT
cana-5661	27	3	v	v	ADP
cana-5661	27	4			NOUN
cana-5661	27	5	v(g	v(g	PROPN
cana-5661	27	6	)	)	PUNCT
cana-5661	27	7	;	;	PUNCT
cana-5661	27	8	d(u	d(u	PROPN
cana-5661	27	9	,	,	PUNCT
cana-5661	27	10	v	v	NOUN
cana-5661	27	11	)	)	PUNCT
cana-5661	27	12	=	=	SYM
cana-5661	28	1	i	i	PRON
cana-5661	28	2	}	}	PUNCT
cana-5661	28	3	is	be	AUX
cana-5661	28	4	defined	define	VERB
cana-5661	28	5	to	to	PART
cana-5661	28	6	be	be	AUX
cana-5661	28	7	the	the	DET
cana-5661	28	8	ith	ith	PROPN
cana-5661	28	9	neigborhood	neigborhood	PROPN
cana-5661	28	10	of	of	ADP
cana-5661	28	11	v	v	NUM
cana-5661	28	12	in	in	ADP
cana-5661	28	13	g.	g.	PROPN
cana-5661	28	14	a	a	DET
cana-5661	28	15	dominating	dominating	NOUN
cana-5661	28	16	set	set	NOUN
cana-5661	28	17	d	d	NOUN
cana-5661	28	18	of	of	ADP
cana-5661	28	19	a	a	DET
cana-5661	28	20	graph	graph	NOUN
cana-5661	28	21	g	g	NOUN
cana-5661	28	22	is	be	AUX
cana-5661	28	23	a	a	DET
cana-5661	28	24	nonsplit	nonsplit	ADJ
cana-5661	28	25	dominating	dominating	NOUN
cana-5661	28	26	set	set	NOUN
cana-5661	28	27	if	if	SCONJ
cana-5661	28	28	the	the	DET
cana-5661	28	29	induced	induced	ADJ
cana-5661	28	30	subgraph	subgraph	NOUN
cana-5661	28	31	<	<	X
cana-5661	28	32	v	v	NOUN
cana-5661	28	33	−	−	PROPN
cana-5661	28	34	d	d	AUX
cana-5661	28	35	>	>	X
cana-5661	28	36	is	be	AUX
cana-5661	28	37	connected	connect	VERB
cana-5661	28	38	.	.	PUNCT
cana-5661	29	1	the	the	DET
cana-5661	29	2	nonsplit	nonsplit	ADJ
cana-5661	29	3	domination	domination	NOUN
cana-5661	29	4	number	number	NOUN
cana-5661	29	5	ns(g	ns(g	NOUN
cana-5661	29	6	)	)	PUNCT
cana-5661	29	7	of	of	ADP
cana-5661	29	8	a	a	DET
cana-5661	29	9	graph	graph	NOUN
cana-5661	29	10	g	g	NOUN
cana-5661	29	11	is	be	AUX
cana-5661	29	12	the	the	DET
cana-5661	29	13	minimum	minimum	ADJ
cana-5661	29	14	cardinality	cardinality	NOUN
cana-5661	29	15	of	of	ADP
cana-5661	29	16	a	a	DET
cana-5661	29	17	nonsplit	nonsplit	ADJ
cana-5661	29	18	dominating	dominating	NOUN
cana-5661	29	19	set	set	NOUN
cana-5661	29	20	.	.	PUNCT
cana-5661	30	1	a	a	DET
cana-5661	30	2	set	set	NOUN
cana-5661	30	3	d	d	X
cana-5661	30	4			PROPN
cana-5661	30	5	v(g	v(g	PROPN
cana-5661	30	6	)	)	PUNCT
cana-5661	30	7	is	be	AUX
cana-5661	30	8	an	an	DET
cana-5661	30	9	eccentric	eccentric	ADJ
cana-5661	30	10	dominating	dominating	NOUN
cana-5661	30	11	set	set	NOUN
cana-5661	30	12	if	if	SCONJ
cana-5661	30	13	d	d	NOUN
cana-5661	30	14	is	be	AUX
cana-5661	30	15	a	a	DET
cana-5661	30	16	dominating	dominating	NOUN
cana-5661	30	17	set	set	NOUN
cana-5661	30	18	of	of	ADP
cana-5661	30	19	g	g	PROPN
cana-5661	30	20	and	and	CCONJ
cana-5661	30	21	for	for	ADP
cana-5661	30	22	every	every	DET
cana-5661	30	23	v	v	NOUN
cana-5661	30	24			NOUN
cana-5661	30	25	v	v	ADP
cana-5661	30	26	−	−	PROPN
cana-5661	30	27	d	d	NOUN
cana-5661	30	28	,	,	PUNCT
cana-5661	30	29	there	there	PRON
cana-5661	30	30	exists	exist	VERB
cana-5661	30	31	atleast	atleast	ADV
cana-5661	30	32	one	one	NUM
cana-5661	30	33	eccentric	eccentric	ADJ
cana-5661	30	34	point	point	NOUN
cana-5661	30	35	of	of	ADP
cana-5661	30	36	v	v	NOUN
cana-5661	30	37	in	in	ADP
cana-5661	30	38	d.	d.	PROPN
cana-5661	30	39	the	the	DET
cana-5661	30	40	eccentric	eccentric	ADJ
cana-5661	30	41	domination	domination	NOUN
cana-5661	30	42	number	number	NOUN
cana-5661	30	43	ed(g	ed(g	NUM
cana-5661	30	44	)	)	PUNCT
cana-5661	30	45	of	of	ADP
cana-5661	30	46	a	a	DET
cana-5661	30	47	graph	graph	NOUN
cana-5661	30	48	g	g	NOUN
cana-5661	30	49	is	be	AUX
cana-5661	30	50	the	the	DET
cana-5661	30	51	minimum	minimum	ADJ
cana-5661	30	52	cardinality	cardinality	NOUN
cana-5661	30	53	of	of	ADP
cana-5661	30	54	an	an	DET
cana-5661	30	55	eccentric	eccentric	ADJ
cana-5661	30	56	dominating	dominating	NOUN
cana-5661	30	57	set	set	NOUN
cana-5661	30	58	.	.	PUNCT
cana-5661	31	1	an	an	DET
cana-5661	31	2	eccentric	eccentric	ADJ
cana-5661	31	3	dominating	dominating	NOUN
cana-5661	31	4	set	set	VERB
cana-5661	31	5	with	with	ADP
cana-5661	31	6	cardinality	cardinality	NOUN
cana-5661	31	7	ed(g	ed(g	NUM
cana-5661	31	8	)	)	PUNCT
cana-5661	31	9	is	be	AUX
cana-5661	31	10	known	know	VERB
cana-5661	31	11	as	as	ADP
cana-5661	31	12	ed	ed	NOUN
cana-5661	31	13	-	-	PUNCT
cana-5661	31	14	set	set	NOUN
cana-5661	31	15	.	.	PUNCT
cana-5661	32	1	let	let	VERB
cana-5661	32	2	s	s	PRON
cana-5661	32	3			PROPN
cana-5661	32	4	v(g	v(g	PROPN
cana-5661	32	5	)	)	PUNCT
cana-5661	32	6	.	.	PUNCT
cana-5661	33	1	then	then	ADV
cana-5661	33	2	s	s	VERB
cana-5661	33	3	is	be	AUX
cana-5661	33	4	known	know	VERB
cana-5661	33	5	as	as	ADP
cana-5661	33	6	an	an	DET
cana-5661	33	7	eccentric	eccentric	ADJ
cana-5661	33	8	point	point	NOUN
cana-5661	33	9	set	set	NOUN
cana-5661	33	10	of	of	ADP
cana-5661	33	11	g	g	PROPN
cana-5661	33	12	if	if	SCONJ
cana-5661	33	13	for	for	ADP
cana-5661	33	14	every	every	DET
cana-5661	33	15	v	v	NOUN
cana-5661	33	16			NOUN
cana-5661	33	17	v	v	ADP
cana-5661	33	18	−	−	PROPN
cana-5661	33	19	s	s	PROPN
cana-5661	33	20	,	,	PUNCT
cana-5661	33	21	s	s	PART
cana-5661	33	22	has	have	AUX
cana-5661	33	23	atleast	atleast	VERB
cana-5661	33	24	one	one	NUM
cana-5661	33	25	vertex	vertex	NOUN
cana-5661	33	26	u	u	NOUN
cana-5661	33	27	such	such	ADJ
cana-5661	33	28	that	that	SCONJ
cana-5661	33	29	u	u	PROPN
cana-5661	33	30			NOUN
cana-5661	33	31	e(v	e(v	NOUN
cana-5661	33	32	)	)	PUNCT
cana-5661	33	33	.	.	PUNCT
cana-5661	34	1	an	an	DET
cana-5661	34	2	eccentric	eccentric	ADJ
cana-5661	34	3	point	point	NOUN
cana-5661	34	4	set	set	NOUN
cana-5661	34	5	s	s	PRON
cana-5661	34	6	of	of	ADP
cana-5661	34	7	g	g	PROPN
cana-5661	34	8	is	be	AUX
cana-5661	34	9	a	a	DET
cana-5661	34	10	minimal	minimal	ADJ
cana-5661	34	11	eccentric	eccentric	ADJ
cana-5661	34	12	point	point	NOUN
cana-5661	34	13	set	set	VERB
cana-5661	34	14	if	if	SCONJ
cana-5661	34	15	no	no	DET
cana-5661	34	16	proper	proper	ADJ
cana-5661	34	17	subset	subset	NOUN
cana-5661	34	18	s	s	NOUN
cana-5661	34	19	of	of	ADP
cana-5661	34	20	s	s	PROPN
cana-5661	34	21	is	be	AUX
cana-5661	34	22	an	an	DET
cana-5661	34	23	eccentric	eccentric	ADJ
cana-5661	34	24	point	point	NOUN
cana-5661	34	25	set	set	NOUN
cana-5661	34	26	of	of	ADP
cana-5661	34	27	g.	g.	PROPN
cana-5661	34	28	s	s	PART
cana-5661	34	29	is	be	AUX
cana-5661	34	30	known	know	VERB
cana-5661	34	31	as	as	ADP
cana-5661	34	32	a	a	DET
cana-5661	34	33	minimum	minimum	ADJ
cana-5661	34	34	eccentric	eccentric	ADJ
cana-5661	34	35	point	point	NOUN
cana-5661	34	36	set	set	VERB
cana-5661	34	37	if	if	SCONJ
cana-5661	34	38	s	s	VERB
cana-5661	34	39	is	be	AUX
cana-5661	34	40	an	an	DET
cana-5661	34	41	eccentric	eccentric	ADJ
cana-5661	34	42	point	point	NOUN
cana-5661	34	43	set	set	VERB
cana-5661	34	44	with	with	ADP
cana-5661	34	45	minimum	minimum	ADJ
cana-5661	34	46	cardinality	cardinality	NOUN
cana-5661	34	47	.	.	PUNCT
cana-5661	35	1	the	the	DET
cana-5661	35	2	minimum	minimum	ADJ
cana-5661	35	3	cardinality	cardinality	NOUN
cana-5661	35	4	of	of	ADP
cana-5661	35	5	an	an	DET
cana-5661	35	6	eccentric	eccentric	ADJ
cana-5661	35	7	point	point	NOUN
cana-5661	35	8	set	set	NOUN
cana-5661	35	9	of	of	ADP
cana-5661	35	10	g	g	PROPN
cana-5661	35	11	denoted	denote	VERB
cana-5661	35	12	as	as	ADP
cana-5661	35	13	e(g	e(g	PROPN
cana-5661	35	14	)	)	PUNCT
cana-5661	35	15	is	be	AUX
cana-5661	35	16	known	know	VERB
cana-5661	35	17	as	as	ADP
cana-5661	35	18	eccentric	eccentric	ADJ
cana-5661	35	19	number	number	NOUN
cana-5661	35	20	of	of	ADP
cana-5661	35	21	g.	g.	PROPN
cana-5661	35	22	2	2	NUM
cana-5661	35	23	.	.	PUNCT
cana-5661	35	24	prior	prior	ADJ
cana-5661	35	25	results	result	NOUN
cana-5661	35	26	theorem	theorem	VERB
cana-5661	35	27	2.1	2.1	NUM
cana-5661	35	28	.	.	PUNCT
cana-5661	36	1	[	[	X
cana-5661	36	2	4	4	NUM
cana-5661	36	3	]	]	PUNCT
cana-5661	36	4	(	(	PUNCT
cana-5661	36	5	i	i	NOUN
cana-5661	36	6	)	)	PUNCT
cana-5661	36	7	nsed(k1,n	nsed(k1,n	PROPN
cana-5661	36	8	)	)	PUNCT
cana-5661	36	9	=	=	SYM
cana-5661	36	10	n	n	CCONJ
cana-5661	36	11	,	,	PUNCT
cana-5661	36	12	n	n	PROPN
cana-5661	36	13			NUM
cana-5661	36	14	2	2	NUM
cana-5661	36	15	(	(	PUNCT
cana-5661	36	16	ii	ii	NOUN
cana-5661	36	17	)	)	PUNCT
cana-5661	36	18	nsed(wn	nsed(wn	PROPN
cana-5661	36	19	)	)	PUNCT
cana-5661	36	20	=	=	SYM
cana-5661	36	21	3	3	NUM
cana-5661	36	22	,	,	PUNCT
cana-5661	36	23	for	for	ADP
cana-5661	36	24	n	n	NUM
cana-5661	36	25			NUM
cana-5661	36	26	4	4	NUM
cana-5661	36	27	(	(	PUNCT
cana-5661	36	28	iii	iii	NOUN
cana-5661	36	29	)	)	PUNCT
cana-5661	36	30	nsed(pn	nsed(pn	NOUN
cana-5661	36	31	)	)	PUNCT
cana-5661	36	32	=	=	SYM
cana-5661	36	33	n-2	n-2	NOUN
cana-5661	36	34	,	,	PUNCT
cana-5661	36	35	for	for	ADP
cana-5661	36	36	n	n	X
cana-5661	36	37			NUM
cana-5661	36	38	4	4	NUM
cana-5661	36	39	(	(	PUNCT
cana-5661	36	40	iv	iv	X
cana-5661	36	41	)	)	PUNCT
cana-5661	36	42	nsed(cn	nsed(cn	NOUN
cana-5661	36	43	)	)	PUNCT
cana-5661	36	44	=	=	SYM
cana-5661	36	45	n-2	n-2	NOUN
cana-5661	36	46	,	,	PUNCT
cana-5661	36	47	for	for	ADP
cana-5661	36	48	n	n	X
cana-5661	36	49			NUM
cana-5661	36	50	3	3	NUM
cana-5661	36	51	(	(	PUNCT
cana-5661	36	52	v	v	NOUN
cana-5661	36	53	)	)	PUNCT
cana-5661	36	54	nsed(kn	nsed(kn	NOUN
cana-5661	36	55	)	)	PUNCT
cana-5661	36	56	=	=	PUNCT
cana-5661	36	57	1	1	NUM
cana-5661	36	58	,	,	PUNCT
cana-5661	36	59	for	for	ADP
cana-5661	36	60	n	n	NUM
cana-5661	36	61			NUM
cana-5661	36	62	3	3	NUM
cana-5661	36	63	(	(	PUNCT
cana-5661	36	64	vi	vi	NOUN
cana-5661	36	65	)	)	PUNCT
cana-5661	36	66	nsed(km	nsed(km	NOUN
cana-5661	36	67	,	,	PUNCT
cana-5661	36	68	n	n	CCONJ
cana-5661	36	69	)	)	PUNCT
cana-5661	36	70	=	=	SYM
cana-5661	36	71	2	2	NUM
cana-5661	36	72	,	,	PUNCT
cana-5661	36	73	for	for	ADP
cana-5661	36	74	n	n	DET
cana-5661	36	75			NUM
cana-5661	36	76	2	2	NUM
cana-5661	36	77	observation	observation	NOUN
cana-5661	36	78	2.1	2.1	NUM
cana-5661	36	79	.	.	PUNCT
cana-5661	37	1	1	1	NUM
cana-5661	37	2	.	.	X
cana-5661	38	1	for	for	ADP
cana-5661	38	2	any	any	DET
cana-5661	38	3	connected	connected	ADJ
cana-5661	38	4	graph	graph	NOUN
cana-5661	38	5	,	,	PUNCT
cana-5661	38	6	(g	(g	PROPN
cana-5661	38	7	)	)	PUNCT
cana-5661	38	8			NOUN
cana-5661	38	9	ns(g	ns(g	NOUN
cana-5661	38	10	)	)	PUNCT
cana-5661	38	11			PROPN
cana-5661	38	12	nsed(g	nsed(g	NUM
cana-5661	38	13	)	)	PUNCT
cana-5661	38	14	.	.	PUNCT
cana-5661	39	1	2	2	X
cana-5661	39	2	.	.	X
cana-5661	39	3	for	for	ADP
cana-5661	39	4	any	any	DET
cana-5661	39	5	connected	connected	ADJ
cana-5661	39	6	graph	graph	NOUN
cana-5661	39	7	g	g	NOUN
cana-5661	39	8	,	,	PUNCT
cana-5661	39	9	(g	(g	PROPN
cana-5661	39	10	)	)	PUNCT
cana-5661	39	11			NOUN
cana-5661	39	12	ed(g	ed(g	NOUN
cana-5661	39	13	)	)	PUNCT
cana-5661	39	14	≤nsed(g	≤nsed(g	CCONJ
cana-5661	39	15	)	)	PUNCT
cana-5661	39	16	.	.	PUNCT
cana-5661	40	1	communications	communication	NOUN
cana-5661	40	2	on	on	ADP
cana-5661	40	3	applied	apply	VERB
cana-5661	40	4	nonlinear	nonlinear	ADJ
cana-5661	40	5	analysis	analysis	NOUN
cana-5661	40	6	issn	issn	NOUN
cana-5661	40	7	:	:	PUNCT
cana-5661	40	8	1074	1074	NUM
cana-5661	40	9	-	-	PUNCT
cana-5661	40	10	133x	133x	NUM
cana-5661	40	11	vol	vol	NOUN
cana-5661	40	12	31	31	NUM
cana-5661	40	13	no	no	NOUN
cana-5661	40	14	.	.	PUNCT
cana-5661	41	1	7s	7	NOUN
cana-5661	41	2	(	(	PUNCT
cana-5661	41	3	2024	2024	NUM
cana-5661	41	4	)	)	PUNCT
cana-5661	41	5	747	747	NUM
cana-5661	42	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	42	2	3	3	X
cana-5661	42	3	.	.	PUNCT
cana-5661	43	1	there	there	PRON
cana-5661	43	2	are	be	VERB
cana-5661	43	3	graphs	graph	NOUN
cana-5661	43	4	with	with	ADP
cana-5661	43	5	ns(g	ns(g	NOUN
cana-5661	43	6	)	)	PUNCT
cana-5661	43	7	=	=	SYM
cana-5661	43	8	ed(g	ed(g	PROPN
cana-5661	43	9	)	)	PUNCT
cana-5661	43	10	and	and	CCONJ
cana-5661	43	11	nsed(g	nsed(g	NUM
cana-5661	43	12	)	)	PUNCT
cana-5661	43	13	=	=	PUNCT
cana-5661	43	14	ns(g	ns(g	NOUN
cana-5661	43	15	)	)	PUNCT
cana-5661	43	16	.	.	PUNCT
cana-5661	44	1	4	4	X
cana-5661	44	2	.	.	X
cana-5661	44	3	there	there	PRON
cana-5661	44	4	are	be	VERB
cana-5661	44	5	graphs	graph	NOUN
cana-5661	44	6	with	with	ADP
cana-5661	44	7	(g	(g	PROPN
cana-5661	44	8	)	)	PUNCT
cana-5661	44	9	=	=	SYM
cana-5661	44	10	ed(g	ed(g	NUM
cana-5661	44	11	)	)	PUNCT
cana-5661	44	12	=	=	SYM
cana-5661	44	13	nsed(g	nsed(g	PROPN
cana-5661	44	14	)	)	PUNCT
cana-5661	44	15	.	.	PUNCT
cana-5661	45	1	theorem	theorem	VERB
cana-5661	45	2	2.2	2.2	NUM
cana-5661	45	3	.	.	PUNCT
cana-5661	46	1	[	[	X
cana-5661	46	2	3	3	X
cana-5661	46	3	]	]	PUNCT
cana-5661	46	4	for	for	ADP
cana-5661	46	5	a	a	DET
cana-5661	46	6	connected	connected	ADJ
cana-5661	46	7	graph	graph	NOUN
cana-5661	46	8	g	g	NOUN
cana-5661	46	9	with	with	ADP
cana-5661	46	10	even	even	ADV
cana-5661	46	11	number	number	NOUN
cana-5661	46	12	of	of	ADP
cana-5661	46	13	vertices	vertex	NOUN
cana-5661	46	14	p	p	NOUN
cana-5661	46	15	and	and	CCONJ
cana-5661	46	16	(	(	PUNCT
cana-5661	46	17	)	)	PUNCT
cana-5661	46	18	2	2	NUM
cana-5661	46	19	p	p	NOUN
cana-5661	46	20	ged	ge	VERB
cana-5661	46	21	=	=	NOUN
cana-5661	46	22			NOUN
cana-5661	46	23	if	if	SCONJ
cana-5661	46	24	and	and	CCONJ
cana-5661	46	25	only	only	ADV
cana-5661	46	26	if	if	SCONJ
cana-5661	46	27	g	g	PROPN
cana-5661	46	28	is	be	AUX
cana-5661	46	29	for	for	ADP
cana-5661	46	30	some	some	DET
cana-5661	46	31	connected	connect	VERB
cana-5661	46	32	graph	graph	NOUN
cana-5661	46	33	h.	h.	PROPN
cana-5661	46	34	3	3	NUM
cana-5661	46	35	.	.	PUNCT
cana-5661	46	36	main	main	ADJ
cana-5661	46	37	results	result	NOUN
cana-5661	46	38	in	in	ADP
cana-5661	46	39	this	this	DET
cana-5661	46	40	section	section	NOUN
cana-5661	46	41	,	,	PUNCT
cana-5661	46	42	we	we	PRON
cana-5661	46	43	determine	determine	VERB
cana-5661	46	44	the	the	DET
cana-5661	46	45	exact	exact	ADJ
cana-5661	46	46	values	value	NOUN
cana-5661	46	47	of	of	ADP
cana-5661	46	48	nonsplit	nonsplit	VERB
cana-5661	46	49	eccentric	eccentric	ADJ
cana-5661	46	50	domination	domination	NOUN
cana-5661	46	51	number	number	NOUN
cana-5661	46	52	of	of	ADP
cana-5661	46	53	corona	corona	NOUN
cana-5661	46	54	product	product	NOUN
cana-5661	46	55	of	of	ADP
cana-5661	46	56	graph	graph	NOUN
cana-5661	46	57	definition	definition	NOUN
cana-5661	46	58	3.1	3.1	NUM
cana-5661	46	59	.	.	PUNCT
cana-5661	47	1	an	an	DET
cana-5661	47	2	eccentric	eccentric	ADJ
cana-5661	47	3	dominating	dominating	NOUN
cana-5661	47	4	set	set	NOUN
cana-5661	47	5	d	d	NOUN
cana-5661	47	6	of	of	ADP
cana-5661	47	7	g	g	PROPN
cana-5661	47	8	is	be	AUX
cana-5661	47	9	a	a	DET
cana-5661	47	10	nonsplit	nonsplit	ADJ
cana-5661	47	11	eccentric	eccentric	ADJ
cana-5661	47	12	dominating	dominating	NOUN
cana-5661	47	13	set	set	VERB
cana-5661	47	14	if	if	SCONJ
cana-5661	47	15	the	the	DET
cana-5661	47	16	induced	induced	ADJ
cana-5661	47	17	subgraph	subgraph	NOUN
cana-5661	47	18	<	<	X
cana-5661	47	19	v	v	NOUN
cana-5661	47	20	−	−	PROPN
cana-5661	47	21	d	d	AUX
cana-5661	47	22	>	>	X
cana-5661	47	23	is	be	AUX
cana-5661	47	24	connected	connect	VERB
cana-5661	47	25	.	.	PUNCT
cana-5661	48	1	the	the	DET
cana-5661	48	2	nonsplit	nonsplit	ADJ
cana-5661	48	3	eccentric	eccentric	ADJ
cana-5661	48	4	domination	domination	NOUN
cana-5661	48	5	number	number	NOUN
cana-5661	48	6	nsed(g	nsed(g	PROPN
cana-5661	48	7	)	)	PUNCT
cana-5661	48	8	of	of	ADP
cana-5661	48	9	a	a	DET
cana-5661	48	10	graph	graph	NOUN
cana-5661	48	11	g	g	NOUN
cana-5661	48	12	equals	equal	VERB
cana-5661	48	13	the	the	DET
cana-5661	48	14	minimum	minimum	ADJ
cana-5661	48	15	cardinality	cardinality	NOUN
cana-5661	48	16	of	of	ADP
cana-5661	48	17	a	a	DET
cana-5661	48	18	nonsplit	nonsplit	ADJ
cana-5661	48	19	eccentric	eccentric	ADJ
cana-5661	48	20	dominating	dominating	NOUN
cana-5661	48	21	set	set	NOUN
cana-5661	48	22	.	.	PUNCT
cana-5661	49	1	that	that	PRON
cana-5661	49	2	is	be	AUX
cana-5661	49	3	nsed(g	nsed(g	PROPN
cana-5661	49	4	)	)	PUNCT
cana-5661	50	1	=	=	SYM
cana-5661	50	2	min	min	PROPN
cana-5661	50	3	|d|	|d|	PROPN
cana-5661	50	4	,	,	PUNCT
cana-5661	50	5	where	where	SCONJ
cana-5661	50	6	the	the	DET
cana-5661	50	7	minimum	minimum	NOUN
cana-5661	50	8	is	be	AUX
cana-5661	50	9	taken	take	VERB
cana-5661	50	10	over	over	ADP
cana-5661	50	11	d	d	NOUN
cana-5661	50	12	in	in	ADP
cana-5661	50	13	d	d	PROPN
cana-5661	50	14	,	,	PUNCT
cana-5661	50	15	where	where	SCONJ
cana-5661	50	16	d	d	NOUN
cana-5661	50	17	is	be	AUX
cana-5661	50	18	the	the	DET
cana-5661	50	19	set	set	NOUN
cana-5661	50	20	of	of	ADP
cana-5661	50	21	all	all	DET
cana-5661	50	22	minimal	minimal	ADJ
cana-5661	50	23	nonsplit	nonsplit	VERB
cana-5661	50	24	eccentric	eccentric	ADJ
cana-5661	50	25	dominating	dominating	NOUN
cana-5661	50	26	sets	set	NOUN
cana-5661	50	27	of	of	ADP
cana-5661	50	28	g.	g.	PROPN
cana-5661	50	29	v(g	v(g	PROPN
cana-5661	50	30	)	)	PUNCT
cana-5661	50	31	is	be	AUX
cana-5661	50	32	a	a	DET
cana-5661	50	33	nonsplit	nonsplit	ADJ
cana-5661	50	34	eccentric	eccentric	ADJ
cana-5661	50	35	dominating	dominating	NOUN
cana-5661	50	36	set	set	NOUN
cana-5661	50	37	for	for	ADP
cana-5661	50	38	any	any	DET
cana-5661	50	39	graph	graph	NOUN
cana-5661	50	40	g.	g.	NOUN
cana-5661	50	41	hence	hence	ADV
cana-5661	50	42	nsed(g	nsed(g	PROPN
cana-5661	50	43	)	)	PUNCT
cana-5661	51	1	is	be	AUX
cana-5661	51	2	a	a	DET
cana-5661	51	3	well	well	ADV
cana-5661	51	4	defined	define	VERB
cana-5661	51	5	parameter	parameter	NOUN
cana-5661	51	6	.	.	PUNCT
cana-5661	52	1	example:3.1	example:3.1	ADJ
cana-5661	52	2	here	here	ADV
cana-5661	52	3	d	d	X
cana-5661	52	4	=	=	SYM
cana-5661	52	5	{	{	PUNCT
cana-5661	52	6	v1	v1	PROPN
cana-5661	52	7	,	,	PUNCT
cana-5661	52	8	v4	v4	PROPN
cana-5661	52	9	}	}	PUNCT
cana-5661	52	10	is	be	AUX
cana-5661	52	11	a	a	DET
cana-5661	52	12	dominating	dominating	NOUN
cana-5661	52	13	set	set	NOUN
cana-5661	52	14	.	.	PUNCT
cana-5661	53	1	d	d	NOUN
cana-5661	53	2	=	=	SYM
cana-5661	53	3	{	{	PUNCT
cana-5661	53	4	v1	v1	PROPN
cana-5661	53	5	,	,	PUNCT
cana-5661	53	6	v5	v5	PROPN
cana-5661	53	7	,	,	PUNCT
cana-5661	53	8	v6	v6	NOUN
cana-5661	53	9	}	}	PUNCT
cana-5661	53	10	is	be	AUX
cana-5661	53	11	an	an	DET
cana-5661	53	12	eccentric	eccentric	ADJ
cana-5661	53	13	dominating	dominating	NOUN
cana-5661	53	14	set	set	NOUN
cana-5661	53	15	and	and	CCONJ
cana-5661	53	16	also	also	ADV
cana-5661	53	17	nonsplit	nonsplit	VERB
cana-5661	53	18	eccentric	eccentric	ADJ
cana-5661	53	19	dominating	dominating	NOUN
cana-5661	53	20	set	set	NOUN
cana-5661	53	21	.	.	PUNCT
cana-5661	54	1	communications	communication	NOUN
cana-5661	54	2	on	on	ADP
cana-5661	54	3	applied	apply	VERB
cana-5661	54	4	nonlinear	nonlinear	ADJ
cana-5661	54	5	analysis	analysis	NOUN
cana-5661	54	6	issn	issn	NOUN
cana-5661	54	7	:	:	PUNCT
cana-5661	54	8	1074	1074	NUM
cana-5661	54	9	-	-	PUNCT
cana-5661	54	10	133x	133x	NUM
cana-5661	54	11	vol	vol	NOUN
cana-5661	54	12	31	31	NUM
cana-5661	54	13	no	no	NOUN
cana-5661	54	14	.	.	PUNCT
cana-5661	55	1	7s	7	NOUN
cana-5661	55	2	(	(	PUNCT
cana-5661	55	3	2024	2024	NUM
cana-5661	55	4	)	)	PUNCT
cana-5661	55	5	748	748	NUM
cana-5661	56	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	56	2	nsed(g	nsed(g	NUM
cana-5661	56	3	)	)	PUNCT
cana-5661	56	4	=	=	SYM
cana-5661	57	1	3	3	X
cana-5661	57	2	,	,	PUNCT
cana-5661	57	3	ns(g	ns(g	PRON
cana-5661	57	4	)	)	PUNCT
cana-5661	57	5	=	=	SYM
cana-5661	57	6	3	3	NUM
cana-5661	57	7	,	,	PUNCT
cana-5661	57	8	ed(g	ed(g	NUM
cana-5661	57	9	)	)	PUNCT
cana-5661	57	10	=	=	SYM
cana-5661	57	11	3	3	NUM
cana-5661	57	12	,	,	PUNCT
cana-5661	57	13	(g	(g	PROPN
cana-5661	57	14	)	)	PUNCT
cana-5661	57	15	=	=	SYM
cana-5661	57	16	2	2	X
cana-5661	57	17	)	)	PUNCT
cana-5661	57	18	(	(	PUNCT
cana-5661	57	19	)	)	PUNCT
cana-5661	57	20	(	(	PUNCT
cana-5661	57	21	)	)	PUNCT
cana-5661	57	22	(	(	PUNCT
cana-5661	57	23	ggg	ggg	NOUN
cana-5661	57	24	nseded	nsede	VERB
cana-5661	57	25			NUM
cana-5661	57	26			PROPN
cana-5661	57	27	.	.	PUNCT
cana-5661	58	1	definition	definition	NOUN
cana-5661	58	2	3.2	3.2	NUM
cana-5661	58	3	let	let	VERB
cana-5661	58	4	g	g	NOUN
cana-5661	58	5	and	and	CCONJ
cana-5661	58	6	h	h	NOUN
cana-5661	58	7	be	be	VERB
cana-5661	58	8	two	two	NUM
cana-5661	58	9	graphs	graph	NOUN
cana-5661	58	10	on	on	ADP
cana-5661	58	11	n	n	PRON
cana-5661	58	12	and	and	CCONJ
cana-5661	58	13	m	m	PROPN
cana-5661	58	14	vertices	vertex	NOUN
cana-5661	58	15	respectively	respectively	ADV
cana-5661	58	16	.	.	PUNCT
cana-5661	59	1	the	the	DET
cana-5661	59	2	corona	corona	NOUN
cana-5661	59	3	of	of	ADP
cana-5661	59	4	the	the	DET
cana-5661	59	5	graphs	graph	NOUN
cana-5661	59	6	g	g	NOUN
cana-5661	59	7	and	and	CCONJ
cana-5661	59	8	h	h	NOUN
cana-5661	59	9	denoted	denote	VERB
cana-5661	59	10	by	by	ADP
cana-5661	59	11	and	and	CCONJ
cana-5661	59	12	is	be	AUX
cana-5661	59	13	defined	define	VERB
cana-5661	59	14	as	as	ADP
cana-5661	59	15	the	the	DET
cana-5661	59	16	graph	graph	NOUN
cana-5661	59	17	obtained	obtain	VERB
cana-5661	59	18	by	by	ADP
cana-5661	59	19	taking	take	VERB
cana-5661	59	20	one	one	NUM
cana-5661	59	21	copy	copy	NOUN
cana-5661	59	22	of	of	ADP
cana-5661	59	23	g	g	PROPN
cana-5661	59	24	and	and	CCONJ
cana-5661	59	25	n	n	PROPN
cana-5661	59	26	copies	copy	NOUN
cana-5661	59	27	of	of	ADP
cana-5661	59	28	h	h	NOUN
cana-5661	59	29	and	and	CCONJ
cana-5661	59	30	then	then	ADV
cana-5661	59	31	joining	join	VERB
cana-5661	59	32	the	the	DET
cana-5661	59	33	ith	ith	PROPN
cana-5661	59	34	vertex	vertex	NOUN
cana-5661	59	35	of	of	ADP
cana-5661	59	36	g	g	NOUN
cana-5661	59	37	to	to	ADP
cana-5661	59	38	every	every	DET
cana-5661	59	39	vertex	vertex	NOUN
cana-5661	59	40	in	in	ADP
cana-5661	59	41	the	the	DET
cana-5661	59	42	ith	ith	PROPN
cana-5661	59	43	copy	copy	NOUN
cana-5661	59	44	of	of	ADP
cana-5661	59	45	h.	h.	PROPN
cana-5661	59	46	example:3.2	example:3.2	PROPN
cana-5661	59	47	theorem	theorem	VERB
cana-5661	59	48	3.1	3.1	NUM
cana-5661	59	49	:	:	PUNCT
cana-5661	59	50	for	for	ADP
cana-5661	59	51	(	(	PUNCT
cana-5661	59	52	)	)	PUNCT
cana-5661	59	53	nwcmn	nwcmn	NOUN
cana-5661	59	54	mnnsed	mnnse	VERB
cana-5661	59	55	=	=	SYM
cana-5661	59	56			PROPN
cana-5661	59	57	,4,3	,4,3	PROPN
cana-5661	59	58	,	,	PUNCT
cana-5661	59	59	where	where	SCONJ
cana-5661	59	60	11	11	NUM
cana-5661	59	61	−+=	−+=	X
cana-5661	59	62	mm	mm	PROPN
cana-5661	59	63	ckw	ckw	PROPN
cana-5661	59	64	.	.	PUNCT
cana-5661	60	1	proof	proof	NOUN
cana-5661	60	2	:	:	PUNCT
cana-5661	60	3	let	let	VERB
cana-5661	60	4	(	(	PUNCT
cana-5661	60	5	)	)	PUNCT
cana-5661	60	6			PROPN
cana-5661	60	7			PROPN
cana-5661	60	8	(	(	PUNCT
cana-5661	60	9	)	)	PUNCT
cana-5661	60	10			PROPN
cana-5661	60	11	mjniuwwvvvvvcv	mjniuwwvvvvvcv	PROPN
cana-5661	60	12	ijimnn	ijimnn	VERB
cana-5661	60	13	==	==	ADJ
cana-5661	60	14	1,1/	1,1/	NUM
cana-5661	60	15	,	,	PUNCT
cana-5661	60	16	,	,	PUNCT
cana-5661	60	17	,	,	PUNCT
cana-5661	60	18	....	....	PUNCT
cana-5661	60	19	,	,	PUNCT
cana-5661	60	20	,	,	PUNCT
cana-5661	60	21	,	,	PUNCT
cana-5661	60	22	321	321	NUM
cana-5661	60	23	and	and	CCONJ
cana-5661	60	24	(	(	PUNCT
cana-5661	60	25	)	)	PUNCT
cana-5661	60	26			PROPN
cana-5661	60	27			PROPN
cana-5661	60	28			PROPN
cana-5661	60	29	mjniuwvvvvwcv	mjniuwvvvvwcv	PROPN
cana-5661	60	30	ijinmn	ijinmn	NOUN
cana-5661	60	31	=	=	PROPN
cana-5661	60	32	1,1/	1,1/	NOUN
cana-5661	60	33	,	,	PUNCT
cana-5661	60	34	,	,	PUNCT
cana-5661	60	35	....	....	PUNCT
cana-5661	60	36	,	,	PUNCT
cana-5661	60	37	,	,	PUNCT
cana-5661	60	38	,	,	PUNCT
cana-5661	60	39	321	321	NUM
cana-5661	60	40			NOUN
cana-5661	60	41	.	.	PUNCT
cana-5661	61	1	let	let	VERB
cana-5661	61	2			PRON
cana-5661	61	3	niwd	niwd	VERB
cana-5661	61	4	i	i	PRON
cana-5661	61	5	=	=	VERB
cana-5661	62	1	1	1	NUM
cana-5661	62	2	where	where	SCONJ
cana-5661	62	3	wi	wi	PROPN
cana-5661	62	4	are	be	AUX
cana-5661	62	5	the	the	DET
cana-5661	62	6	central	central	ADJ
cana-5661	62	7	vertices	vertex	NOUN
cana-5661	62	8	of	of	ADP
cana-5661	62	9	wm	wm	PROPN
cana-5661	62	10	.	.	PUNCT
cana-5661	63	1	then	then	ADV
cana-5661	63	2	d	d	PROPN
cana-5661	63	3	is	be	AUX
cana-5661	63	4	a	a	DET
cana-5661	63	5	minimum	minimum	ADJ
cana-5661	63	6	eccentric	eccentric	ADJ
cana-5661	63	7	dominating	dominating	NOUN
cana-5661	63	8	set	set	NOUN
cana-5661	63	9	and	and	CCONJ
cana-5661	63	10	<	<	X
cana-5661	63	11	v	v	NOUN
cana-5661	63	12	-	-	PUNCT
cana-5661	63	13	d	d	X
cana-5661	63	14	>	>	X
cana-5661	63	15	is	be	AUX
cana-5661	63	16	connected	connect	VERB
cana-5661	63	17	.	.	PUNCT
cana-5661	64	1	therefore	therefore	ADV
cana-5661	64	2	d	d	X
cana-5661	64	3	is	be	AUX
cana-5661	64	4	a	a	DET
cana-5661	64	5	minimum	minimum	NOUN
cana-5661	64	6	nonsplit	nonsplit	VERB
cana-5661	64	7	eccentric	eccentric	ADJ
cana-5661	64	8	dominating	dominating	NOUN
cana-5661	64	9	set	set	NOUN
cana-5661	64	10	and	and	CCONJ
cana-5661	64	11	nd	nd	NOUN
cana-5661	64	12	=	=	NOUN
cana-5661	64	13	.therefore	.therefore	NOUN
cana-5661	64	14	(	(	PUNCT
cana-5661	64	15	)	)	PUNCT
cana-5661	64	16	nwc	nwc	PROPN
cana-5661	64	17	mnnsed	mnnse	VERB
cana-5661	64	18	=	=	SYM
cana-5661	64	19			X
cana-5661	64	20	.	.	PUNCT
cana-5661	65	1	theorem	theorem	VERB
cana-5661	65	2	3.2	3.2	NUM
cana-5661	65	3	:	:	PUNCT
cana-5661	65	4	for	for	ADP
cana-5661	65	5	(	(	PUNCT
cana-5661	65	6	)	)	PUNCT
cana-5661	65	7	(	(	PUNCT
cana-5661	65	8	)	)	PUNCT
cana-5661	65	9	,	,	PUNCT
cana-5661	65	10	,	,	PUNCT
cana-5661	65	11	2	2	NUM
cana-5661	65	12	11	11	NUM
cana-5661	65	13	gvkgm	gvkgm	NOUN
cana-5661	65	14	mnsed	mnse	VERB
cana-5661	65	15	=	=	SYM
cana-5661	65	16			X
cana-5661	65	17			NOUN
cana-5661	65	18	where	where	SCONJ
cana-5661	65	19	g1	g1	NOUN
cana-5661	65	20	be	be	VERB
cana-5661	65	21	any	any	DET
cana-5661	65	22	connected	connected	ADJ
cana-5661	65	23	graph	graph	NOUN
cana-5661	65	24	with	with	ADP
cana-5661	65	25	n	n	ADP
cana-5661	65	26	vertices	vertex	NOUN
cana-5661	65	27	.	.	PUNCT
cana-5661	66	1	proof	proof	NOUN
cana-5661	66	2	:	:	PUNCT
cana-5661	66	3	let	let	VERB
cana-5661	66	4	(	(	PUNCT
cana-5661	66	5	)	)	PUNCT
cana-5661	66	6			PROPN
cana-5661	66	7	nvvvvgv	nvvvvgv	PROPN
cana-5661	66	8	,	,	PUNCT
cana-5661	66	9	....	....	PUNCT
cana-5661	66	10	,	,	PUNCT
cana-5661	66	11	,	,	PUNCT
cana-5661	66	12	,	,	PUNCT
cana-5661	66	13	3211	3211	NUM
cana-5661	66	14	=	=	PUNCT
cana-5661	66	15	and	and	CCONJ
cana-5661	66	16	let	let	VERB
cana-5661	66	17			PROPN
cana-5661	66	18	imiii	imiii	PROPN
cana-5661	66	19	uuuu	uuuu	NOUN
cana-5661	66	20	,	,	PUNCT
cana-5661	66	21	....	....	PUNCT
cana-5661	66	22	,	,	PUNCT
cana-5661	66	23	,	,	PUNCT
cana-5661	66	24	,	,	PUNCT
cana-5661	66	25	321	321	NUM
cana-5661	66	26	be	be	AUX
cana-5661	66	27	the	the	DET
cana-5661	66	28	ith	ith	PROPN
cana-5661	66	29	copy	copy	NOUN
cana-5661	66	30	of	of	ADP
cana-5661	66	31	km	km	NOUN
cana-5661	66	32	adjacent	adjacent	ADJ
cana-5661	66	33	to	to	ADP
cana-5661	66	34	vi	vi	PROPN
cana-5661	66	35	.	.	PUNCT
cana-5661	67	1	then	then	ADV
cana-5661	67	2	(	(	PUNCT
cana-5661	67	3	)	)	PUNCT
cana-5661	67	4			PROPN
cana-5661	67	5	nmnnmmnm	nmnnmmnm	PROPN
cana-5661	67	6	uuuuuuuuuvvvvkgv	uuuuuuuuuvvvvkgv	INTJ
cana-5661	67	7	,	,	PUNCT
cana-5661	67	8	...	...	PUNCT
cana-5661	67	9	,	,	PUNCT
cana-5661	67	10	,	,	PUNCT
cana-5661	67	11	,	,	PUNCT
cana-5661	67	12	....	....	PUNCT
cana-5661	67	13	,	,	PUNCT
cana-5661	67	14	.....	.....	PUNCT
cana-5661	67	15	,	,	PUNCT
cana-5661	67	16	,	,	PUNCT
cana-5661	67	17	,	,	PUNCT
cana-5661	67	18	,	,	PUNCT
cana-5661	67	19	....	....	PUNCT
cana-5661	67	20	,	,	PUNCT
cana-5661	67	21	,	,	PUNCT
cana-5661	67	22	,	,	PUNCT
cana-5661	67	23	,	,	PUNCT
cana-5661	67	24	....	....	PUNCT
cana-5661	67	25	,	,	PUNCT
cana-5661	67	26	,	,	PUNCT
cana-5661	67	27	,	,	PUNCT
cana-5661	67	28	2122221112113211	2122221112113211	NUM
cana-5661	67	29	=	=	SYM
cana-5661	67	30			PROPN
cana-5661	67	31	.	.	PUNCT
cana-5661	68	1	let	let	VERB
cana-5661	68	2			PROPN
cana-5661	68	3	mjuuuud	mjuuuud	VERB
cana-5661	68	4	njjjjj	njjjjj	NOUN
cana-5661	68	5	=	=	ADJ
cana-5661	68	6	1/	1/	NUM
cana-5661	68	7	,	,	PUNCT
cana-5661	68	8	....	....	PUNCT
cana-5661	68	9	,	,	PUNCT
cana-5661	68	10	,	,	PUNCT
cana-5661	68	11	,	,	PUNCT
cana-5661	68	12	321	321	NUM
cana-5661	68	13	are	be	AUX
cana-5661	68	14	some	some	DET
cana-5661	68	15	nonsplit	nonsplit	ADJ
cana-5661	68	16	dominating	dominating	NOUN
cana-5661	68	17	set	set	NOUN
cana-5661	68	18	.	.	PUNCT
cana-5661	69	1	further	far	ADV
cana-5661	69	2	every	every	DET
cana-5661	69	3	vertex	vertex	NOUN
cana-5661	69	4	of	of	ADP
cana-5661	69	5	<	<	X
cana-5661	69	6	v	v	NOUN
cana-5661	69	7	-	-	PUNCT
cana-5661	69	8	dj	dj	NOUN
cana-5661	69	9	>	>	X
cana-5661	69	10	has	have	VERB
cana-5661	69	11	an	an	DET
cana-5661	69	12	eccentric	eccentric	ADJ
cana-5661	69	13	vertex	vertex	NOUN
cana-5661	69	14	in	in	ADP
cana-5661	69	15	dj	dj	PROPN
cana-5661	69	16	.	.	PUNCT
cana-5661	70	1	therefore	therefore	ADV
cana-5661	70	2	dj	dj	PROPN
cana-5661	70	3	is	be	AUX
cana-5661	70	4	a	a	DET
cana-5661	70	5	nonsplit	nonsplit	ADJ
cana-5661	70	6	eccentric	eccentric	ADJ
cana-5661	70	7	dominating	dominating	NOUN
cana-5661	70	8	set	set	VERB
cana-5661	70	9	hg	hg	PROPN
cana-5661	70	10	34	34	NUM
cana-5661	70	11	kp	kp	PROPN
cana-5661	70	12			PROPN
cana-5661	70	13	communications	communication	NOUN
cana-5661	70	14	on	on	ADP
cana-5661	70	15	applied	apply	VERB
cana-5661	70	16	nonlinear	nonlinear	ADJ
cana-5661	70	17	analysis	analysis	NOUN
cana-5661	70	18	issn	issn	NOUN
cana-5661	70	19	:	:	PUNCT
cana-5661	70	20	1074	1074	NUM
cana-5661	70	21	-	-	PUNCT
cana-5661	70	22	133x	133x	NUM
cana-5661	70	23	vol	vol	NOUN
cana-5661	70	24	31	31	NUM
cana-5661	70	25	no	no	NOUN
cana-5661	70	26	.	.	PUNCT
cana-5661	71	1	7s	7	NOUN
cana-5661	71	2	(	(	PUNCT
cana-5661	71	3	2024	2024	NUM
cana-5661	71	4	)	)	PUNCT
cana-5661	71	5	749	749	NUM
cana-5661	71	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	71	7	and	and	CCONJ
cana-5661	71	8	nd	nd	PRON
cana-5661	71	9	j	j	PROPN
cana-5661	71	10	=	=	PUNCT
cana-5661	71	11	.	.	PUNCT
cana-5661	72	1	hence	hence	ADV
cana-5661	72	2	each	each	DET
cana-5661	72	3	dj	dj	NOUN
cana-5661	72	4	is	be	AUX
cana-5661	72	5	a	a	DET
cana-5661	72	6	minimum	minimum	NOUN
cana-5661	72	7	nonsplit	nonsplit	VERB
cana-5661	72	8	eccentric	eccentric	ADJ
cana-5661	72	9	dominating	dominating	NOUN
cana-5661	72	10	set	set	NOUN
cana-5661	72	11	of	of	ADP
cana-5661	72	12	mkg	mkg	PROPN
cana-5661	72	13	1	1	X
cana-5661	72	14	.	.	PUNCT
cana-5661	73	1	hence	hence	ADV
cana-5661	73	2	(	(	PUNCT
cana-5661	73	3	)	)	PUNCT
cana-5661	73	4	ndkg	ndkg	PROPN
cana-5661	73	5	jmnsed	jmnse	VERB
cana-5661	73	6	=	=	NOUN
cana-5661	73	7	=	=	NOUN
cana-5661	73	8	1	1	X
cana-5661	73	9	.	.	PUNCT
cana-5661	74	1	theorem	theorem	VERB
cana-5661	74	2	3.3	3.3	NUM
cana-5661	74	3	:	:	PUNCT
cana-5661	74	4	if	if	SCONJ
cana-5661	74	5	h	h	NOUN
cana-5661	74	6	is	be	AUX
cana-5661	74	7	any	any	DET
cana-5661	74	8	self	self	NOUN
cana-5661	74	9	centred	centre	VERB
cana-5661	74	10	unique	unique	ADJ
cana-5661	74	11	eccentric	eccentric	ADJ
cana-5661	74	12	point	point	NOUN
cana-5661	74	13	graph	graph	NOUN
cana-5661	74	14	with	with	ADP
cana-5661	74	15	m	m	PROPN
cana-5661	74	16	vertices	vertex	NOUN
cana-5661	74	17	and	and	CCONJ
cana-5661	74	18	12khg	12khg	NOUN
cana-5661	74	19	=	=	PROPN
cana-5661	74	20	then	then	ADV
cana-5661	74	21	mgnsed	mgnse	VERB
cana-5661	74	22	2	2	NUM
cana-5661	74	23	)	)	PUNCT
cana-5661	74	24	(	(	PUNCT
cana-5661	75	1	=	=	NOUN
cana-5661	75	2			NUM
cana-5661	75	3	.	.	PUNCT
cana-5661	76	1	proof	proof	NOUN
cana-5661	76	2	:	:	PUNCT
cana-5661	76	3	if	if	SCONJ
cana-5661	76	4	h	h	NOUN
cana-5661	76	5	is	be	AUX
cana-5661	76	6	any	any	DET
cana-5661	76	7	self	self	NOUN
cana-5661	76	8	-	-	PUNCT
cana-5661	76	9	centred	centre	VERB
cana-5661	76	10	unique	unique	ADJ
cana-5661	76	11	eccentric	eccentric	ADJ
cana-5661	76	12	point	point	NOUN
cana-5661	76	13	graph	graph	NOUN
cana-5661	76	14	.	.	PUNCT
cana-5661	77	1	then	then	ADV
cana-5661	77	2	every	every	DET
cana-5661	77	3	vertex	vertex	NOUN
cana-5661	77	4	of	of	ADP
cana-5661	77	5	h	h	NOUN
cana-5661	77	6	is	be	AUX
cana-5661	77	7	an	an	DET
cana-5661	77	8	eccentric	eccentric	ADJ
cana-5661	77	9	vertex	vertex	NOUN
cana-5661	77	10	.	.	PUNCT
cana-5661	78	1	hence	hence	ADV
cana-5661	78	2	m	m	VERB
cana-5661	78	3	is	be	AUX
cana-5661	78	4	even	even	ADV
cana-5661	78	5	and	and	CCONJ
cana-5661	78	6	g	g	PROPN
cana-5661	78	7	has	have	VERB
cana-5661	78	8	3	3	NUM
cana-5661	78	9	m	m	NOUN
cana-5661	78	10	vertices	vertex	NOUN
cana-5661	78	11	.	.	PUNCT
cana-5661	79	1	let	let	VERB
cana-5661	79	2	mvvvv	mvvvv	NOUN
cana-5661	79	3	,	,	PUNCT
cana-5661	79	4	....	....	PUNCT
cana-5661	79	5	,	,	PUNCT
cana-5661	79	6	,	,	PUNCT
cana-5661	79	7	,	,	PUNCT
cana-5661	79	8	321	321	NUM
cana-5661	79	9	be	be	AUX
cana-5661	79	10	the	the	DET
cana-5661	79	11	vertices	vertex	NOUN
cana-5661	79	12	of	of	ADP
cana-5661	79	13	h	h	NOUN
cana-5661	79	14	and	and	CCONJ
cana-5661	79	15			PROPN
cana-5661	79	16			NOUN
cana-5661	79	17	ii	ii	NOUN
cana-5661	79	18	vv	vv	INTJ
cana-5661	79	19	,	,	PUNCT
cana-5661	79	20	for	for	ADP
cana-5661	79	21	i	i	PROPN
cana-5661	79	22	=	=	SYM
cana-5661	79	23	1	1	NUM
cana-5661	79	24	,	,	PUNCT
cana-5661	79	25	2	2	NUM
cana-5661	79	26	,	,	PUNCT
cana-5661	79	27	...	...	PUNCT
cana-5661	79	28	,	,	PUNCT
cana-5661	79	29	m	m	VERB
cana-5661	79	30	be	be	VERB
cana-5661	79	31	the	the	DET
cana-5661	79	32	vertices	vertex	NOUN
cana-5661	79	33	of	of	ADP
cana-5661	79	34	m	m	PROPN
cana-5661	79	35	copies	copy	NOUN
cana-5661	79	36	of	of	ADP
cana-5661	79	37	2k	2k	NUM
cana-5661	79	38	,	,	PUNCT
cana-5661	79	39	then	then	ADV
cana-5661	79	40	in	in	ADP
cana-5661	79	41	g	g	NOUN
cana-5661	79	42	,	,	PUNCT
cana-5661	79	43			X
cana-5661	79	44	ii	ii	NOUN
cana-5661	79	45	vv	vv	NOUN
cana-5661	79	46	,	,	PUNCT
cana-5661	79	47	are	be	AUX
cana-5661	79	48	adjacent	adjacent	ADJ
cana-5661	79	49	to	to	ADP
cana-5661	79	50	vi	vi	VERB
cana-5661	79	51	and	and	CCONJ
cana-5661	79	52	if	if	SCONJ
cana-5661	79	53	vj	vj	INTJ
cana-5661	79	54	is	be	AUX
cana-5661	79	55	the	the	DET
cana-5661	79	56	eccentric	eccentric	ADJ
cana-5661	79	57	vertex	vertex	NOUN
cana-5661	79	58	of	of	ADP
cana-5661	79	59	vi	vi	NOUN
cana-5661	79	60	in	in	ADP
cana-5661	79	61	h.	h.	PROPN
cana-5661	79	62	then	then	ADV
cana-5661	79	63			PROPN
cana-5661	79	64	ii	ii	PROPN
cana-5661	79	65	vv	vv	INTJ
cana-5661	79	66	,	,	PUNCT
cana-5661	79	67	are	be	AUX
cana-5661	79	68	the	the	DET
cana-5661	79	69	eccentric	eccentric	ADJ
cana-5661	79	70	vertices	vertex	NOUN
cana-5661	79	71	of	of	ADP
cana-5661	79	72	vj	vj	NOUN
cana-5661	79	73	in	in	ADP
cana-5661	79	74	g	g	PROPN
cana-5661	79	75	and	and	CCONJ
cana-5661	79	76			NUM
cana-5661	80	1	jj	jj	NOUN
cana-5661	80	2	vv	vv	INTJ
cana-5661	80	3	,	,	PUNCT
cana-5661	80	4	are	be	AUX
cana-5661	80	5	the	the	DET
cana-5661	80	6	eccentric	eccentric	ADJ
cana-5661	80	7	vertices	vertex	NOUN
cana-5661	80	8	of	of	ADP
cana-5661	80	9	vi	vi	NOUN
cana-5661	80	10	.	.	PUNCT
cana-5661	81	1	it	it	PRON
cana-5661	81	2	is	be	AUX
cana-5661	81	3	clear	clear	ADJ
cana-5661	81	4	that	that	SCONJ
cana-5661	81	5			PRON
cana-5661	81	6			PROPN
cana-5661	81	7			NOUN
cana-5661	81	8			NOUN
cana-5661	81	9	=	=	SYM
cana-5661	81	10	mm	mm	NUM
cana-5661	81	11	vvvvvvd	vvvvvvd	NOUN
cana-5661	81	12	,	,	PUNCT
cana-5661	81	13	...	...	PUNCT
cana-5661	81	14	,	,	PUNCT
cana-5661	81	15	,	,	PUNCT
cana-5661	81	16	,	,	PUNCT
cana-5661	81	17	...	...	PUNCT
cana-5661	81	18	,	,	PUNCT
cana-5661	81	19	,	,	PUNCT
cana-5661	81	20	2121	2121	NUM
cana-5661	82	1			PRON
cana-5661	82	2	is	be	AUX
cana-5661	82	3	a	a	DET
cana-5661	82	4	minimum	minimum	ADJ
cana-5661	82	5	eccentric	eccentric	ADJ
cana-5661	82	6	dominating	dominating	NOUN
cana-5661	82	7	set	set	NOUN
cana-5661	82	8	of	of	ADP
cana-5661	82	9	g.	g.	PROPN
cana-5661	82	10	further	far	ADV
cana-5661	82	11	<	<	X
cana-5661	82	12	v	v	NOUN
cana-5661	82	13	-	-	PUNCT
cana-5661	82	14	d	d	X
cana-5661	82	15	>	>	X
cana-5661	82	16	is	be	AUX
cana-5661	82	17	connected	connect	VERB
cana-5661	82	18	and	and	CCONJ
cana-5661	82	19	md	md	PROPN
cana-5661	82	20	2=	2=	NUM
cana-5661	82	21	.	.	PUNCT
cana-5661	83	1	therefore	therefore	ADV
cana-5661	83	2	d	d	X
cana-5661	83	3	is	be	AUX
cana-5661	83	4	a	a	DET
cana-5661	83	5	nonsplit	nonsplit	ADJ
cana-5661	83	6	eccentric	eccentric	ADJ
cana-5661	83	7	dominating	dominating	NOUN
cana-5661	83	8	set	set	NOUN
cana-5661	83	9	of	of	ADP
cana-5661	83	10	g.	g.	PROPN
cana-5661	83	11	hence	hence	ADV
cana-5661	83	12	(	(	PUNCT
cana-5661	83	13	)	)	PUNCT
cana-5661	83	14	mgnsed	mgnse	VERB
cana-5661	83	15	2=	2=	NUM
cana-5661	83	16	.	.	PUNCT
cana-5661	84	1	theorem	theorem	VERB
cana-5661	84	2	3.4	3.4	NUM
cana-5661	84	3	:	:	PUNCT
cana-5661	84	4	for	for	ADP
cana-5661	84	5	(	(	PUNCT
cana-5661	84	6	)	)	PUNCT
cana-5661	84	7	nkcmn	nkcmn	PROPN
cana-5661	84	8	mnnsed	mnnse	VERB
cana-5661	84	9	=	=	SYM
cana-5661	84	10			ADJ
cana-5661	84	11	,	,	PUNCT
cana-5661	84	12	1,2,3	1,2,3	NUM
cana-5661	84	13			NOUN
cana-5661	84	14	.	.	PUNCT
cana-5661	85	1	proof	proof	NOUN
cana-5661	85	2	:	:	PUNCT
cana-5661	85	3	let	let	VERB
cana-5661	85	4			PROPN
cana-5661	85	5	nn	nn	VERB
cana-5661	85	6	vvvcv	vvvcv	NOUN
cana-5661	85	7	,	,	PUNCT
cana-5661	85	8	...	...	PUNCT
cana-5661	85	9	,	,	PUNCT
cana-5661	85	10	,	,	PUNCT
cana-5661	85	11	)	)	PUNCT
cana-5661	85	12	(	(	PUNCT
cana-5661	85	13	21=	21=	NUM
cana-5661	85	14	and	and	CCONJ
cana-5661	85	15			PROPN
cana-5661	85	16	mm	mm	PROPN
cana-5661	85	17	uuuwkv	uuuwkv	ADJ
cana-5661	85	18	,	,	PUNCT
cana-5661	85	19	...	...	PUNCT
cana-5661	85	20	,	,	PUNCT
cana-5661	85	21	,	,	PUNCT
cana-5661	85	22	,	,	PUNCT
cana-5661	85	23	)	)	PUNCT
cana-5661	85	24	(	(	PUNCT
cana-5661	85	25	211,1	211,1	NUM
cana-5661	85	26	=	=	SYM
cana-5661	85	27	,	,	PUNCT
cana-5661	85	28	then	then	ADV
cana-5661	85	29			PROPN
cana-5661	85	30			PROPN
cana-5661	85	31			PROPN
cana-5661	85	32	mjniuwnivkcv	mjniuwnivkcv	PROPN
cana-5661	85	33	ijiimn	ijiimn	NOUN
cana-5661	85	34	=	=	PROPN
cana-5661	85	35	1,1/,1/	1,1/,1/	NUM
cana-5661	85	36	)	)	PUNCT
cana-5661	85	37	(	(	PUNCT
cana-5661	85	38	,	,	PUNCT
cana-5661	85	39	1	1	NUM
cana-5661	85	40			NOUN
cana-5661	85	41	.	.	PUNCT
cana-5661	86	1	by	by	ADP
cana-5661	86	2	choosing	choose	VERB
cana-5661	86	3	a	a	DET
cana-5661	86	4	vertex	vertex	NOUN
cana-5661	86	5	set	set	VERB
cana-5661	86	6			PROPN
cana-5661	86	7	nwwwd	nwwwd	NOUN
cana-5661	86	8	,	,	PUNCT
cana-5661	86	9	...	...	PUNCT
cana-5661	86	10	,	,	PUNCT
cana-5661	86	11	,	,	PUNCT
cana-5661	86	12	21=	21=	NUM
cana-5661	86	13	which	which	PRON
cana-5661	86	14	dominates	dominate	VERB
cana-5661	86	15	all	all	DET
cana-5661	86	16	the	the	DET
cana-5661	86	17	vertices	vertex	NOUN
cana-5661	86	18	of	of	ADP
cana-5661	86	19	mn	mn	PROPN
cana-5661	86	20	kc	kc	PROPN
cana-5661	86	21	,	,	PUNCT
cana-5661	86	22	1	1	PROPN
cana-5661	86	23	and	and	CCONJ
cana-5661	86	24	<	<	X
cana-5661	86	25	v	v	NOUN
cana-5661	86	26	-	-	PUNCT
cana-5661	86	27	d	d	X
cana-5661	86	28	>	>	X
cana-5661	86	29	is	be	AUX
cana-5661	86	30	connected	connect	VERB
cana-5661	86	31	.	.	PUNCT
cana-5661	87	1	further	far	ADV
cana-5661	87	2	every	every	DET
cana-5661	87	3	vertex	vertex	NOUN
cana-5661	87	4	of	of	ADP
cana-5661	87	5	<	<	X
cana-5661	87	6	v	v	NOUN
cana-5661	87	7	-	-	PUNCT
cana-5661	87	8	d	d	X
cana-5661	87	9	>	>	X
cana-5661	87	10	has	have	VERB
cana-5661	87	11	an	an	DET
cana-5661	87	12	eccentric	eccentric	ADJ
cana-5661	87	13	vertex	vertex	NOUN
cana-5661	87	14	in	in	ADP
cana-5661	87	15	d	d	PROPN
cana-5661	87	16	and	and	CCONJ
cana-5661	87	17	nd	nd	PRON
cana-5661	87	18	=	=	NOUN
cana-5661	87	19	.	.	PUNCT
cana-5661	88	1	therefore	therefore	ADV
cana-5661	88	2	d	d	X
cana-5661	88	3	is	be	AUX
cana-5661	88	4	a	a	DET
cana-5661	88	5	nonsplit	nonsplit	ADJ
cana-5661	88	6	eccentric	eccentric	ADJ
cana-5661	88	7	dominating	dominating	NOUN
cana-5661	88	8	set	set	NOUN
cana-5661	88	9	of	of	ADP
cana-5661	88	10	mn	mn	PROPN
cana-5661	88	11	kc	kc	PROPN
cana-5661	88	12	,	,	PUNCT
cana-5661	88	13	1	1	PROPN
cana-5661	88	14	.	.	PUNCT
cana-5661	89	1	hence	hence	ADV
cana-5661	89	2	(	(	PUNCT
cana-5661	89	3	)	)	PUNCT
cana-5661	89	4	nkc	nkc	PROPN
cana-5661	89	5	mnnsed	mnnse	VERB
cana-5661	89	6	=	=	SYM
cana-5661	89	7	,	,	PUNCT
cana-5661	89	8	1	1	NOUN
cana-5661	89	9	.	.	PUNCT
cana-5661	90	1	theorem	theorem	VERB
cana-5661	90	2	3.5	3.5	NUM
cana-5661	90	3	:	:	PUNCT
cana-5661	90	4	for	for	ADP
cana-5661	90	5	(	(	PUNCT
cana-5661	90	6	)	)	PUNCT
cana-5661	90	7	(	(	PUNCT
cana-5661	90	8	)	)	PUNCT
cana-5661	90	9	mmnnsed	mmnnse	VERB
cana-5661	90	10	pnpcmn	pnpcmn	NOUN
cana-5661	90	11			PRON
cana-5661	90	12	=	=	ADJ
cana-5661	90	13	,4,3	,4,3	PROPN
cana-5661	90	14	.	.	PUNCT
cana-5661	91	1	proof	proof	NOUN
cana-5661	91	2	:	:	PUNCT
cana-5661	91	3	let	let	VERB
cana-5661	91	4			PROPN
cana-5661	91	5	nn	nn	VERB
cana-5661	91	6	vvvcv	vvvcv	NOUN
cana-5661	91	7	,	,	PUNCT
cana-5661	91	8	...	...	PUNCT
cana-5661	91	9	,	,	PUNCT
cana-5661	91	10	,	,	PUNCT
cana-5661	91	11	)	)	PUNCT
cana-5661	91	12	(	(	PUNCT
cana-5661	91	13	21=	21=	NUM
cana-5661	91	14	and	and	CCONJ
cana-5661	91	15	the	the	DET
cana-5661	91	16	set	set	NOUN
cana-5661	91	17	imii	imii	NOUN
cana-5661	91	18	uuu	uuu	PROPN
cana-5661	91	19	,	,	PUNCT
cana-5661	91	20	...	...	PUNCT
cana-5661	91	21	,	,	PUNCT
cana-5661	91	22	,	,	PUNCT
cana-5661	91	23	21	21	NUM
cana-5661	91	24	be	be	VERB
cana-5661	91	25	the	the	DET
cana-5661	91	26	ith	ith	PROPN
cana-5661	91	27	copy	copy	NOUN
cana-5661	91	28	of	of	ADP
cana-5661	91	29	pn	pn	PROPN
cana-5661	91	30	adjacent	adjacent	ADJ
cana-5661	91	31	to	to	ADP
cana-5661	91	32	the	the	DET
cana-5661	91	33	vertex	vertex	NOUN
cana-5661	91	34	vi	vi	PROPN
cana-5661	92	1	then	then	ADV
cana-5661	92	2			PROPN
cana-5661	92	3			PROPN
cana-5661	92	4			PROPN
cana-5661	93	1	mjniunivpcv	mjniunivpcv	PROPN
cana-5661	93	2	ijimn	ijimn	ADJ
cana-5661	93	3	=	=	PROPN
cana-5661	93	4	1,1/1/	1,1/1/	NUM
cana-5661	93	5	)	)	PUNCT
cana-5661	93	6	(	(	PUNCT
cana-5661	93	7			NOUN
cana-5661	93	8	.	.	PUNCT
cana-5661	94	1	let	let	VERB
cana-5661	94	2	d	d	PRON
cana-5661	94	3	be	be	AUX
cana-5661	94	4	the	the	DET
cana-5661	94	5	n	n	ADV
cana-5661	94	6	copies	copy	NOUN
cana-5661	94	7	of	of	ADP
cana-5661	94	8	dominating	dominating	NOUN
cana-5661	94	9	sets	set	NOUN
cana-5661	94	10	of	of	ADP
cana-5661	94	11	pm	pm	NOUN
cana-5661	94	12	which	which	PRON
cana-5661	94	13	dominates	dominate	VERB
cana-5661	94	14	all	all	DET
cana-5661	94	15	the	the	DET
cana-5661	94	16	vertices	vertex	NOUN
cana-5661	94	17	of	of	ADP
cana-5661	94	18	mn	mn	PROPN
cana-5661	94	19	pc	pc	NOUN
cana-5661	94	20			PROPN
cana-5661	94	21	.	.	PUNCT
cana-5661	95	1	further	far	ADV
cana-5661	95	2	every	every	DET
cana-5661	95	3	vertex	vertex	NOUN
cana-5661	95	4	of	of	ADP
cana-5661	95	5	<	<	X
cana-5661	95	6	v	v	NOUN
cana-5661	95	7	-	-	PUNCT
cana-5661	95	8	d	d	X
cana-5661	95	9	>	>	X
cana-5661	95	10	has	have	VERB
cana-5661	95	11	an	an	DET
cana-5661	95	12	eccentric	eccentric	ADJ
cana-5661	95	13	communications	communication	NOUN
cana-5661	95	14	on	on	ADP
cana-5661	95	15	applied	apply	VERB
cana-5661	95	16	nonlinear	nonlinear	ADJ
cana-5661	95	17	analysis	analysis	NOUN
cana-5661	95	18	issn	issn	NOUN
cana-5661	95	19	:	:	PUNCT
cana-5661	95	20	1074	1074	NUM
cana-5661	95	21	-	-	PUNCT
cana-5661	95	22	133x	133x	NUM
cana-5661	95	23	vol	vol	NOUN
cana-5661	95	24	31	31	NUM
cana-5661	95	25	no	no	NOUN
cana-5661	95	26	.	.	PUNCT
cana-5661	96	1	7s	7	NOUN
cana-5661	96	2	(	(	PUNCT
cana-5661	96	3	2024	2024	NUM
cana-5661	96	4	)	)	PUNCT
cana-5661	96	5	750	750	NUM
cana-5661	96	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	96	7	vertex	vertex	NOUN
cana-5661	96	8	in	in	ADP
cana-5661	96	9	d	d	PROPN
cana-5661	96	10	and	and	CCONJ
cana-5661	96	11	<	<	X
cana-5661	96	12	v	v	NOUN
cana-5661	96	13	-	-	PUNCT
cana-5661	96	14	d	d	X
cana-5661	96	15	>	>	X
cana-5661	96	16	is	be	AUX
cana-5661	96	17	connected	connect	VERB
cana-5661	96	18	.	.	PUNCT
cana-5661	97	1	therefore	therefore	ADV
cana-5661	97	2	d	d	X
cana-5661	97	3	is	be	AUX
cana-5661	97	4	a	a	DET
cana-5661	97	5	nonsplit	nonsplit	ADJ
cana-5661	97	6	eccentric	eccentric	ADJ
cana-5661	97	7	dominating	dominating	NOUN
cana-5661	97	8	set	set	NOUN
cana-5661	97	9	and	and	CCONJ
cana-5661	97	10	(	(	PUNCT
cana-5661	97	11	)	)	PUNCT
cana-5661	97	12	mpnd	mpnd	NOUN
cana-5661	97	13	=	=	NOUN
cana-5661	97	14	.	.	PUNCT
cana-5661	98	1	hence	hence	ADV
cana-5661	98	2	(	(	PUNCT
cana-5661	98	3	)	)	PUNCT
cana-5661	98	4	(	(	PUNCT
cana-5661	98	5	)	)	PUNCT
cana-5661	98	6	mmnnsed	mmnnse	VERB
cana-5661	98	7	pnpc	pnpc	NOUN
cana-5661	98	8			PRON
cana-5661	98	9	=	=	NOUN
cana-5661	98	10	.	.	PUNCT
cana-5661	99	1	theorem	theorem	VERB
cana-5661	99	2	3.6	3.6	NUM
cana-5661	99	3	:	:	PUNCT
cana-5661	99	4	for	for	ADP
cana-5661	99	5	a	a	DET
cana-5661	99	6	connected	connected	ADJ
cana-5661	99	7	graph	graph	NOUN
cana-5661	99	8	g	g	NOUN
cana-5661	99	9	with	with	ADP
cana-5661	99	10	even	even	ADV
cana-5661	99	11	number	number	NOUN
cana-5661	99	12	of	of	ADP
cana-5661	99	13	vertices	vertex	NOUN
cana-5661	99	14	p	p	X
cana-5661	99	15	,	,	PUNCT
cana-5661	99	16	(	(	PUNCT
cana-5661	99	17	)	)	PUNCT
cana-5661	99	18	2	2	NUM
cana-5661	99	19	p	p	NOUN
cana-5661	99	20	gnsed	gnse	VERB
cana-5661	99	21	=	=	PRON
cana-5661	99	22			NOUN
cana-5661	99	23	if	if	SCONJ
cana-5661	100	1	and	and	CCONJ
cana-5661	100	2	only	only	ADV
cana-5661	100	3	if	if	SCONJ
cana-5661	100	4	g	g	PROPN
cana-5661	100	5	is	be	AUX
cana-5661	100	6	1kh	1kh	ADJ
cana-5661	100	7			X
cana-5661	100	8	for	for	ADP
cana-5661	100	9	some	some	DET
cana-5661	100	10	connected	connect	VERB
cana-5661	100	11	graph	graph	NOUN
cana-5661	100	12	h.	h.	NOUN
cana-5661	100	13	proof	proof	NOUN
cana-5661	100	14	:	:	PUNCT
cana-5661	100	15	let	let	VERB
cana-5661	100	16	1khg	1khg	PROPN
cana-5661	100	17	=	=	PROPN
cana-5661	100	18	,	,	PUNCT
cana-5661	100	19	where	where	SCONJ
cana-5661	100	20	h	h	NOUN
cana-5661	100	21	is	be	AUX
cana-5661	100	22	a	a	DET
cana-5661	100	23	connected	connected	ADJ
cana-5661	100	24	graph	graph	NOUN
cana-5661	100	25	on	on	ADP
cana-5661	100	26	2	2	NUM
cana-5661	100	27	p	p	NOUN
cana-5661	100	28	vertices	vertex	NOUN
cana-5661	100	29	.	.	PUNCT
cana-5661	101	1	v(h	v(h	NOUN
cana-5661	101	2	)	)	PUNCT
cana-5661	101	3	is	be	AUX
cana-5661	101	4	a	a	DET
cana-5661	101	5	set−	set−	NOUN
cana-5661	101	6	of	of	ADP
cana-5661	101	7	g	g	PROPN
cana-5661	101	8	and	and	CCONJ
cana-5661	101	9	d	d	PROPN
cana-5661	101	10	is	be	AUX
cana-5661	101	11	the	the	DET
cana-5661	101	12	set	set	NOUN
cana-5661	101	13	of	of	ADP
cana-5661	101	14	all	all	DET
cana-5661	101	15	pendent	pendent	NOUN
cana-5661	101	16	vertices	vertex	NOUN
cana-5661	101	17	in	in	ADP
cana-5661	101	18	g	g	PROPN
cana-5661	101	19	is	be	AUX
cana-5661	101	20	a	a	DET
cana-5661	101	21	minimum	minimum	ADJ
cana-5661	101	22	eccentric	eccentric	ADJ
cana-5661	101	23	dominating	dominating	NOUN
cana-5661	101	24	set	set	NOUN
cana-5661	101	25	.	.	PUNCT
cana-5661	102	1	further	far	ADV
cana-5661	102	2	<	<	X
cana-5661	102	3	v	v	NOUN
cana-5661	102	4	-	-	PUNCT
cana-5661	102	5	d	d	X
cana-5661	102	6	>	>	X
cana-5661	102	7	is	be	AUX
cana-5661	102	8	connected	connect	VERB
cana-5661	102	9	.	.	PUNCT
cana-5661	103	1	therefore	therefore	ADV
cana-5661	103	2	the	the	DET
cana-5661	103	3	set	set	NOUN
cana-5661	103	4	of	of	ADP
cana-5661	103	5	all	all	DET
cana-5661	103	6	pendent	pendent	NOUN
cana-5661	103	7	vertices	vertex	NOUN
cana-5661	103	8	in	in	ADP
cana-5661	103	9	g	g	PROPN
cana-5661	103	10	is	be	AUX
cana-5661	103	11	a	a	DET
cana-5661	103	12	minimum	minimum	NOUN
cana-5661	103	13	nonsplit	nonsplit	VERB
cana-5661	103	14	eccentric	eccentric	ADJ
cana-5661	103	15	dominating	dominating	NOUN
cana-5661	103	16	set	set	NOUN
cana-5661	103	17	.	.	PUNCT
cana-5661	104	1	hence	hence	ADV
cana-5661	104	2	(	(	PUNCT
cana-5661	104	3	)	)	PUNCT
cana-5661	104	4	2	2	NUM
cana-5661	104	5	p	p	NOUN
cana-5661	104	6	gnsed	gnse	VERB
cana-5661	104	7	=	=	NOUN
cana-5661	104	8			NUM
cana-5661	104	9	.	.	PUNCT
cana-5661	105	1	conversely	conversely	ADV
cana-5661	105	2	assume	assume	VERB
cana-5661	105	3	that	that	SCONJ
cana-5661	105	4	(	(	PUNCT
cana-5661	105	5	)	)	PUNCT
cana-5661	105	6	2	2	NUM
cana-5661	105	7	p	p	NOUN
cana-5661	105	8	gnsed	gnse	VERB
cana-5661	105	9	=	=	NOUN
cana-5661	105	10			NUM
cana-5661	105	11	.	.	PUNCT
cana-5661	106	1	since	since	SCONJ
cana-5661	106	2	g	g	PROPN
cana-5661	106	3	is	be	AUX
cana-5661	106	4	a	a	DET
cana-5661	106	5	graph	graph	NOUN
cana-5661	106	6	with	with	ADP
cana-5661	106	7	even	even	ADJ
cana-5661	106	8	number	number	NOUN
cana-5661	106	9	of	of	ADP
cana-5661	106	10	vertices	vertex	NOUN
cana-5661	106	11	p.	p.	NOUN
cana-5661	106	12	by	by	ADP
cana-5661	106	13	theorem	theorem	ADJ
cana-5661	106	14	2.2	2.2	NUM
cana-5661	106	15	,	,	PUNCT
cana-5661	106	16	we	we	PRON
cana-5661	106	17	get	get	VERB
cana-5661	106	18	g	g	NOUN
cana-5661	106	19	is	be	AUX
cana-5661	106	20	1kh	1kh	ADJ
cana-5661	106	21			X
cana-5661	106	22	for	for	ADP
cana-5661	106	23	some	some	DET
cana-5661	106	24	connected	connect	VERB
cana-5661	106	25	graph	graph	NOUN
cana-5661	106	26	h.	h.	NOUN
cana-5661	106	27	4	4	NUM
cana-5661	106	28	.	.	PUNCT
cana-5661	107	1	non	non	PROPN
cana-5661	107	2	split	split	VERB
cana-5661	107	3	eccentric	eccentric	ADJ
cana-5661	107	4	domination	domination	NOUN
cana-5661	107	5	in	in	ADP
cana-5661	107	6	join	join	NOUN
cana-5661	107	7	of	of	ADP
cana-5661	107	8	graphs	graph	NOUN
cana-5661	107	9	in	in	ADP
cana-5661	107	10	this	this	DET
cana-5661	107	11	section	section	NOUN
cana-5661	107	12	we	we	PRON
cana-5661	107	13	determine	determine	VERB
cana-5661	107	14	the	the	DET
cana-5661	107	15	exact	exact	ADJ
cana-5661	107	16	values	value	NOUN
cana-5661	107	17	of	of	ADP
cana-5661	107	18	non	non	ADJ
cana-5661	107	19	split	split	ADJ
cana-5661	107	20	eccentric	eccentric	ADJ
cana-5661	107	21	domination	domination	NOUN
cana-5661	107	22	number	number	NOUN
cana-5661	107	23	of	of	ADP
cana-5661	107	24	join	join	NOUN
cana-5661	107	25	graph	graph	NOUN
cana-5661	107	26	g	g	PROPN
cana-5661	107	27	+	+	CCONJ
cana-5661	107	28	h	h	NOUN
cana-5661	107	29	definition	definition	NOUN
cana-5661	107	30	4.1	4.1	NUM
cana-5661	107	31	.	.	PUNCT
cana-5661	108	1	the	the	DET
cana-5661	108	2	join	join	NOUN
cana-5661	108	3	g	g	PROPN
cana-5661	108	4	+	+	CCONJ
cana-5661	108	5	h	h	NOUN
cana-5661	108	6	of	of	ADP
cana-5661	108	7	two	two	NUM
cana-5661	108	8	graphs	graph	NOUN
cana-5661	108	9	g	g	NOUN
cana-5661	108	10	and	and	CCONJ
cana-5661	108	11	h	h	NOUN
cana-5661	108	12	is	be	AUX
cana-5661	108	13	the	the	DET
cana-5661	108	14	the	the	DET
cana-5661	108	15	graph	graph	NOUN
cana-5661	108	16	with	with	ADP
cana-5661	108	17	vertex	vertex	NOUN
cana-5661	108	18	set	set	NOUN
cana-5661	108	19	and	and	CCONJ
cana-5661	108	20	the	the	DET
cana-5661	108	21	edge	edge	NOUN
cana-5661	108	22	set	set	VERB
cana-5661	108	23	.	.	PUNCT
cana-5661	108	24	.	.	PUNCT
cana-5661	109	1	theorem	theorem	VERB
cana-5661	109	2	4.1	4.1	NUM
cana-5661	109	3	:	:	PUNCT
cana-5661	109	4	for	for	ADP
cana-5661	109	5	(	(	PUNCT
cana-5661	109	6	)	)	PUNCT
cana-5661	109	7	3,1,4	3,1,4	NOUN
cana-5661	110	1	=	=	SYM
cana-5661	110	2	+	+	ADJ
cana-5661	110	3			ADV
cana-5661	110	4	mnnsed	mnnse	VERB
cana-5661	110	5	kpmn	kpmn	NOUN
cana-5661	110	6			NUM
cana-5661	110	7	.	.	PUNCT
cana-5661	111	1	(	(	PUNCT
cana-5661	111	2	)	)	PUNCT
cana-5661	111	3	(	(	PUNCT
cana-5661	111	4	)	)	PUNCT
cana-5661	111	5	(	(	PUNCT
cana-5661	111	6	)	)	PUNCT
cana-5661	111	7	hvgvhgv	hvgvhgv	PROPN
cana-5661	111	8	=+	=+	PROPN
cana-5661	111	9			PROPN
cana-5661	111	10	)(),(/	)(),(/	NOUN
cana-5661	111	11	)	)	PUNCT
cana-5661	111	12	(	(	PUNCT
cana-5661	111	13	)	)	PUNCT
cana-5661	111	14	(	(	PUNCT
cana-5661	111	15	)	)	PUNCT
cana-5661	111	16	(	(	PUNCT
cana-5661	111	17	hvvgvuuvhegehge	hvvgvuuvhegehge	ADJ
cana-5661	111	18	=+	=+	PROPN
cana-5661	111	19			PROPN
cana-5661	111	20	34	34	NUM
cana-5661	111	21	kc	kc	NOUN
cana-5661	111	22	+	+	PROPN
cana-5661	111	23	communications	communication	NOUN
cana-5661	111	24	on	on	ADP
cana-5661	111	25	applied	apply	VERB
cana-5661	111	26	nonlinear	nonlinear	ADJ
cana-5661	111	27	analysis	analysis	NOUN
cana-5661	111	28	issn	issn	NOUN
cana-5661	111	29	:	:	PUNCT
cana-5661	111	30	1074	1074	NUM
cana-5661	111	31	-	-	PUNCT
cana-5661	111	32	133x	133x	NUM
cana-5661	111	33	vol	vol	NOUN
cana-5661	111	34	31	31	NUM
cana-5661	111	35	no	no	NOUN
cana-5661	111	36	.	.	PUNCT
cana-5661	112	1	7s	7	NOUN
cana-5661	112	2	(	(	PUNCT
cana-5661	112	3	2024	2024	NUM
cana-5661	112	4	)	)	PUNCT
cana-5661	112	5	751	751	NUM
cana-5661	112	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	112	7	proof	proof	NOUN
cana-5661	112	8	:	:	PUNCT
cana-5661	112	9	let	let	VERB
cana-5661	112	10	let	let	VERB
cana-5661	112	11	(	(	PUNCT
cana-5661	112	12	)	)	PUNCT
cana-5661	112	13			PROPN
cana-5661	112	14	nn	nn	PROPN
cana-5661	112	15	vvvpv	vvvpv	NOUN
cana-5661	112	16	,	,	PUNCT
cana-5661	112	17	...	...	PUNCT
cana-5661	112	18	,	,	PUNCT
cana-5661	112	19	,	,	PUNCT
cana-5661	112	20	21=	21=	NUM
cana-5661	112	21	and	and	CCONJ
cana-5661	112	22	(	(	PUNCT
cana-5661	112	23	)	)	PUNCT
cana-5661	112	24			PROPN
cana-5661	112	25	mjukv	mjukv	PROPN
cana-5661	113	1	jm	jm	PROPN
cana-5661	113	2	=	=	PROPN
cana-5661	113	3	1/	1/	NUM
cana-5661	113	4	then	then	ADV
cana-5661	113	5	(	(	PUNCT
cana-5661	113	6	)	)	PUNCT
cana-5661	113	7			PROPN
cana-5661	114	1	mjniuvkpv	mjniuvkpv	PROPN
cana-5661	114	2	jimn	jimn	NOUN
cana-5661	114	3	=+	=+	NOUN
cana-5661	114	4	1,1/	1,1/	NUM
cana-5661	114	5	.	.	PUNCT
cana-5661	115	1	let	let	VERB
cana-5661	115	2			PRON
cana-5661	115	3	uvvd	uvvd	VERB
cana-5661	115	4	n	n	CCONJ
cana-5661	115	5	,	,	PUNCT
cana-5661	115	6	,	,	PUNCT
cana-5661	115	7	1=	1=	NUM
cana-5661	115	8	,	,	PUNCT
cana-5661	115	9	where	where	SCONJ
cana-5661	115	10	v1	v1	NOUN
cana-5661	115	11	and	and	CCONJ
cana-5661	115	12	vn	vn	PROPN
cana-5661	115	13	are	be	AUX
cana-5661	115	14	the	the	DET
cana-5661	115	15	end	end	NOUN
cana-5661	115	16	vertices	vertex	NOUN
cana-5661	115	17	of	of	ADP
cana-5661	115	18	pn	pn	NOUN
cana-5661	115	19	and	and	CCONJ
cana-5661	115	20	u	u	NOUN
cana-5661	115	21	is	be	AUX
cana-5661	115	22	any	any	DET
cana-5661	115	23	vertex	vertex	NOUN
cana-5661	115	24	of	of	ADP
cana-5661	115	25	km	km	PROPN
cana-5661	115	26	.	.	PUNCT
cana-5661	116	1	then	then	ADV
cana-5661	116	2	d	d	PROPN
cana-5661	116	3	is	be	AUX
cana-5661	116	4	a	a	DET
cana-5661	116	5	minimum	minimum	NOUN
cana-5661	116	6	nonsplit	nonsplit	NOUN
cana-5661	116	7	dominating	dominating	NOUN
cana-5661	116	8	set	set	NOUN
cana-5661	116	9	.	.	PUNCT
cana-5661	117	1	further	far	ADV
cana-5661	117	2	every	every	DET
cana-5661	117	3	vertex	vertex	NOUN
cana-5661	117	4	of	of	ADP
cana-5661	117	5	<	<	X
cana-5661	117	6	v	v	NOUN
cana-5661	117	7	-	-	PUNCT
cana-5661	117	8	d	d	X
cana-5661	117	9	>	>	X
cana-5661	117	10	has	have	VERB
cana-5661	117	11	an	an	DET
cana-5661	117	12	eccentric	eccentric	ADJ
cana-5661	117	13	vertex	vertex	NOUN
cana-5661	117	14	in	in	ADP
cana-5661	117	15	d.	d.	PROPN
cana-5661	117	16	therefore	therefore	ADV
cana-5661	117	17	d	d	PROPN
cana-5661	117	18	is	be	AUX
cana-5661	117	19	a	a	DET
cana-5661	117	20	minimum	minimum	NOUN
cana-5661	117	21	nonsplit	nonsplit	VERB
cana-5661	117	22	eccentric	eccentric	ADJ
cana-5661	117	23	dominating	dominating	NOUN
cana-5661	117	24	set	set	NOUN
cana-5661	117	25	of	of	ADP
cana-5661	117	26	pn+km	pn+km	NOUN
cana-5661	117	27	and	and	CCONJ
cana-5661	117	28	3	3	NUM
cana-5661	117	29	=	=	SYM
cana-5661	117	30	d	d	PROPN
cana-5661	117	31	.	.	PUNCT
cana-5661	118	1	therefore	therefore	ADV
cana-5661	118	2	(	(	PUNCT
cana-5661	118	3	)	)	PUNCT
cana-5661	118	4	3=+	3=+	PRON
cana-5661	118	5	mnnsed	mnnse	VERB
cana-5661	118	6	kp	kp	NOUN
cana-5661	118	7	.	.	PUNCT
cana-5661	119	1	theorem	theorem	VERB
cana-5661	119	2	4.2	4.2	NUM
cana-5661	119	3	:	:	PUNCT
cana-5661	119	4	for	for	ADP
cana-5661	119	5	(	(	PUNCT
cana-5661	119	6	)	)	PUNCT
cana-5661	119	7	3,2,4	3,2,4	NUM
cana-5661	119	8	,	,	PUNCT
cana-5661	119	9	1	1	NUM
cana-5661	119	10	=	=	ADJ
cana-5661	119	11	+	+	ADJ
cana-5661	119	12			ADV
cana-5661	119	13	mnnsed	mnnse	VERB
cana-5661	119	14	kpmn	kpmn	NOUN
cana-5661	119	15			NUM
cana-5661	119	16	.	.	PUNCT
cana-5661	120	1	proof	proof	NOUN
cana-5661	120	2	:	:	PUNCT
cana-5661	120	3	let	let	VERB
cana-5661	120	4	(	(	PUNCT
cana-5661	120	5	)	)	PUNCT
cana-5661	120	6			PROPN
cana-5661	120	7	nn	nn	PROPN
cana-5661	120	8	vvvpv	vvvpv	NOUN
cana-5661	120	9	,	,	PUNCT
cana-5661	120	10	...	...	PUNCT
cana-5661	120	11	,	,	PUNCT
cana-5661	120	12	,	,	PUNCT
cana-5661	120	13	21=	21=	NUM
cana-5661	120	14	and	and	CCONJ
cana-5661	120	15	(	(	PUNCT
cana-5661	120	16	)	)	PUNCT
cana-5661	120	17			PROPN
cana-5661	121	1	mjuwkv	mjuwkv	PROPN
cana-5661	121	2	jm	jm	PROPN
cana-5661	121	3	=	=	PROPN
cana-5661	121	4	1/,,1	1/,,1	NUM
cana-5661	121	5	then	then	ADV
cana-5661	121	6	(	(	PUNCT
cana-5661	121	7	)	)	PUNCT
cana-5661	121	8			PROPN
cana-5661	121	9			PROPN
cana-5661	121	10			PROPN
cana-5661	121	11	mjuwnivkpv	mjuwnivkpv	PROPN
cana-5661	121	12	jimn	jimn	NOUN
cana-5661	121	13	=+	=+	NOUN
cana-5661	121	14	1/,1/,1	1/,1/,1	NUM
cana-5661	121	15			NOUN
cana-5661	121	16	.	.	PUNCT
cana-5661	122	1	let	let	VERB
cana-5661	122	2			PROPN
cana-5661	122	3	nvvwd	nvvwd	PROPN
cana-5661	122	4	,	,	PUNCT
cana-5661	122	5	,	,	PUNCT
cana-5661	122	6	1=	1=	NUM
cana-5661	122	7	,	,	PUNCT
cana-5661	122	8	where	where	SCONJ
cana-5661	122	9	w	w	NOUN
cana-5661	122	10	is	be	AUX
cana-5661	122	11	the	the	DET
cana-5661	122	12	root	root	NOUN
cana-5661	122	13	vertex	vertex	NOUN
cana-5661	122	14	of	of	ADP
cana-5661	122	15	k1,n	k1,n	PROPN
cana-5661	122	16	,	,	PUNCT
cana-5661	122	17	v1	v1	NOUN
cana-5661	122	18	and	and	CCONJ
cana-5661	122	19	vn	vn	PROPN
cana-5661	122	20	are	be	AUX
cana-5661	122	21	the	the	DET
cana-5661	122	22	end	end	NOUN
cana-5661	122	23	vertices	vertex	NOUN
cana-5661	122	24	of	of	ADP
cana-5661	122	25	pn	pn	PROPN
cana-5661	122	26	.	.	PUNCT
cana-5661	123	1	then	then	ADV
cana-5661	123	2	d	d	PROPN
cana-5661	123	3	is	be	AUX
cana-5661	123	4	a	a	DET
cana-5661	123	5	minimum	minimum	NOUN
cana-5661	123	6	nonsplit	nonsplit	NOUN
cana-5661	123	7	dominating	dominating	NOUN
cana-5661	123	8	set	set	NOUN
cana-5661	123	9	and	and	CCONJ
cana-5661	123	10	<	<	X
cana-5661	123	11	v	v	NOUN
cana-5661	123	12	-	-	PUNCT
cana-5661	123	13	d	d	X
cana-5661	123	14	>	>	X
cana-5661	123	15	is	be	AUX
cana-5661	123	16	connected	connect	VERB
cana-5661	123	17	.	.	PUNCT
cana-5661	124	1	further	far	ADV
cana-5661	124	2	every	every	DET
cana-5661	124	3	vertex	vertex	NOUN
cana-5661	124	4	of	of	ADP
cana-5661	124	5	<	<	X
cana-5661	124	6	v	v	NOUN
cana-5661	124	7	-	-	PUNCT
cana-5661	124	8	d	d	X
cana-5661	124	9	>	>	X
cana-5661	124	10	has	have	VERB
cana-5661	124	11	an	an	DET
cana-5661	124	12	eccentric	eccentric	ADJ
cana-5661	124	13	vertex	vertex	NOUN
cana-5661	124	14	in	in	ADP
cana-5661	124	15	d.	d.	PROPN
cana-5661	124	16	therefore	therefore	ADV
cana-5661	124	17	d	d	PROPN
cana-5661	124	18	is	be	AUX
cana-5661	124	19	a	a	DET
cana-5661	124	20	nonsplit	nonsplit	ADJ
cana-5661	124	21	eccentric	eccentric	ADJ
cana-5661	124	22	dominating	dominating	NOUN
cana-5661	124	23	set	set	NOUN
cana-5661	124	24	and	and	CCONJ
cana-5661	124	25	3	3	NUM
cana-5661	124	26	=	=	SYM
cana-5661	124	27	d	d	NOUN
cana-5661	124	28	.	.	PUNCT
cana-5661	125	1	hence	hence	ADV
cana-5661	125	2	(	(	PUNCT
cana-5661	125	3	)	)	PUNCT
cana-5661	125	4	3,1	3,1	NUM
cana-5661	125	5	=	=	SYM
cana-5661	125	6	+	+	NUM
cana-5661	125	7	mnnsed	mnnse	VERB
cana-5661	125	8	kp	kp	NOUN
cana-5661	125	9	.	.	PUNCT
cana-5661	126	1	theorem	theorem	VERB
cana-5661	126	2	4.3	4.3	NUM
cana-5661	126	3	:	:	PUNCT
cana-5661	126	4	for	for	ADP
cana-5661	126	5	(	(	PUNCT
cana-5661	126	6	)	)	PUNCT
cana-5661	126	7	4,4,4	4,4,4	PUNCT
cana-5661	127	1	=	=	PUNCT
cana-5661	127	2	+	+	ADJ
cana-5661	127	3			ADV
cana-5661	127	4	mnnsed	mnnse	VERB
cana-5661	127	5	wpmn	wpmn	PROPN
cana-5661	127	6			NUM
cana-5661	127	7	.	.	PUNCT
cana-5661	128	1	proof	proof	NOUN
cana-5661	128	2	:	:	PUNCT
cana-5661	128	3	let	let	VERB
cana-5661	128	4	(	(	PUNCT
cana-5661	128	5	)	)	PUNCT
cana-5661	128	6			PROPN
cana-5661	128	7	nn	nn	PROPN
cana-5661	128	8	vvvpv	vvvpv	NOUN
cana-5661	128	9	,	,	PUNCT
cana-5661	128	10	...	...	PUNCT
cana-5661	128	11	,	,	PUNCT
cana-5661	128	12	,	,	PUNCT
cana-5661	128	13	21=	21=	NUM
cana-5661	128	14	and	and	CCONJ
cana-5661	128	15	(	(	PUNCT
cana-5661	128	16	)	)	PUNCT
cana-5661	128	17			PROPN
cana-5661	129	1	mjuwwv	mjuwwv	PROPN
cana-5661	129	2	jm	jm	PROPN
cana-5661	129	3	=	=	PROPN
cana-5661	129	4	1/	1/	NUM
cana-5661	129	5	,	,	PUNCT
cana-5661	129	6	then	then	ADV
cana-5661	129	7	(	(	PUNCT
cana-5661	129	8	)	)	PUNCT
cana-5661	130	1			PROPN
cana-5661	130	2			PROPN
cana-5661	130	3			NOUN
cana-5661	130	4	mjuwnivwpv	mjuwnivwpv	NOUN
cana-5661	130	5	jimn	jimn	NOUN
cana-5661	130	6	=+	=+	X
cana-5661	130	7	1/,1/	1/,1/	PROPN
cana-5661	130	8			NOUN
cana-5661	130	9	.	.	PUNCT
cana-5661	131	1	let	let	VERB
cana-5661	131	2			PRON
cana-5661	131	3	211	211	X
cana-5661	131	4	,	,	PUNCT
cana-5661	131	5	,	,	PUNCT
cana-5661	131	6	,	,	PUNCT
cana-5661	131	7	uuvvd	uuvvd	PROPN
cana-5661	131	8	n=	n=	PROPN
cana-5661	131	9	,	,	PUNCT
cana-5661	131	10	where	where	SCONJ
cana-5661	131	11	v1	v1	NOUN
cana-5661	131	12	,	,	PUNCT
cana-5661	131	13	vn	vn	PROPN
cana-5661	131	14	are	be	AUX
cana-5661	131	15	the	the	DET
cana-5661	131	16	vertices	vertex	NOUN
cana-5661	131	17	of	of	ADP
cana-5661	131	18	pn	pn	PROPN
cana-5661	131	19	and	and	CCONJ
cana-5661	131	20	u1	u1	PROPN
cana-5661	131	21	,	,	PUNCT
cana-5661	131	22	u2	u2	PROPN
cana-5661	131	23	are	be	AUX
cana-5661	131	24	adjacent	adjacent	ADJ
cana-5661	131	25	vertices	vertex	NOUN
cana-5661	131	26	of	of	ADP
cana-5661	131	27	wn	wn	PROPN
cana-5661	131	28	.	.	PUNCT
cana-5661	132	1	every	every	DET
cana-5661	132	2	vertex	vertex	NOUN
cana-5661	132	3	of	of	ADP
cana-5661	132	4	<	<	X
cana-5661	132	5	v	v	NOUN
cana-5661	132	6	-	-	PUNCT
cana-5661	132	7	d	d	X
cana-5661	132	8	>	>	X
cana-5661	132	9	has	have	VERB
cana-5661	132	10	an	an	DET
cana-5661	132	11	eccentric	eccentric	ADJ
cana-5661	132	12	vertex	vertex	NOUN
cana-5661	132	13	in	in	ADP
cana-5661	132	14	d.	d.	PROPN
cana-5661	132	15	therefore	therefore	ADV
cana-5661	132	16	d	d	PROPN
cana-5661	132	17	is	be	AUX
cana-5661	132	18	an	an	DET
cana-5661	132	19	eccentric	eccentric	ADJ
cana-5661	132	20	dominating	dominating	NOUN
cana-5661	132	21	set	set	NOUN
cana-5661	132	22	.	.	PUNCT
cana-5661	133	1	further	far	ADV
cana-5661	133	2	<	<	X
cana-5661	133	3	v	v	NOUN
cana-5661	133	4	-	-	PUNCT
cana-5661	133	5	d	d	X
cana-5661	133	6	>	>	X
cana-5661	133	7	is	be	AUX
cana-5661	133	8	connected	connect	VERB
cana-5661	133	9	.	.	PUNCT
cana-5661	134	1	hence	hence	ADV
cana-5661	134	2	d	d	PROPN
cana-5661	134	3	is	be	AUX
cana-5661	134	4	a	a	DET
cana-5661	134	5	minimum	minimum	ADJ
cana-5661	134	6	eccentric	eccentric	ADJ
cana-5661	134	7	dominating	dominating	NOUN
cana-5661	134	8	set	set	NOUN
cana-5661	134	9	and	and	CCONJ
cana-5661	134	10	4	4	NUM
cana-5661	134	11	=	=	SYM
cana-5661	134	12	d	d	NOUN
cana-5661	134	13	.	.	PUNCT
cana-5661	135	1	hence	hence	ADV
cana-5661	135	2	(	(	PUNCT
cana-5661	135	3	)	)	PUNCT
cana-5661	135	4	4=+	4=+	PROPN
cana-5661	135	5	mnnsed	mnnse	VERB
cana-5661	135	6	wp	wp	NOUN
cana-5661	135	7	.	.	PUNCT
cana-5661	136	1	conclusion	conclusion	NOUN
cana-5661	136	2	here	here	ADV
cana-5661	136	3	we	we	PRON
cana-5661	136	4	have	have	AUX
cana-5661	136	5	evaluated	evaluate	VERB
cana-5661	136	6	the	the	DET
cana-5661	136	7	results	result	NOUN
cana-5661	136	8	on	on	ADP
cana-5661	136	9	non	non	ADJ
cana-5661	136	10	split	split	ADJ
cana-5661	136	11	eccentric	eccentric	ADJ
cana-5661	136	12	domination	domination	NOUN
cana-5661	136	13	number	number	NOUN
cana-5661	136	14	of	of	ADP
cana-5661	136	15	corona	corona	NOUN
cana-5661	136	16	product	product	NOUN
cana-5661	136	17	and	and	CCONJ
cana-5661	136	18	join	join	NOUN
cana-5661	136	19	of	of	ADP
cana-5661	136	20	some	some	DET
cana-5661	136	21	standard	standard	ADJ
cana-5661	136	22	graphs	graph	NOUN
cana-5661	136	23	and	and	CCONJ
cana-5661	136	24	also	also	ADV
cana-5661	136	25	studied	study	VERB
cana-5661	136	26	some	some	DET
cana-5661	136	27	bounds	bound	NOUN
cana-5661	136	28	for	for	ADP
cana-5661	136	29	non	non	X
cana-5661	136	30	split	split	ADJ
cana-5661	136	31	eccentric	eccentric	ADJ
cana-5661	136	32	domination	domination	NOUN
cana-5661	136	33	number	number	NOUN
cana-5661	136	34	of	of	ADP
cana-5661	136	35	a	a	DET
cana-5661	136	36	graph	graph	NOUN
cana-5661	136	37	.	.	PUNCT
cana-5661	137	1	references	reference	NOUN
cana-5661	137	2	1	1	NUM
cana-5661	137	3	.	.	PUNCT
cana-5661	138	1	bhanumanthi	bhanumanthi	NOUN
cana-5661	138	2	m	m	PROPN
cana-5661	138	3	and	and	CCONJ
cana-5661	138	4	muthammai	muthammai	NOUN
cana-5661	138	5	s	s	NOUN
cana-5661	138	6	,	,	PUNCT
cana-5661	138	7	eccentric	eccentric	ADJ
cana-5661	138	8	domination	domination	NOUN
cana-5661	138	9	in	in	ADP
cana-5661	138	10	trees	tree	NOUN
cana-5661	138	11	,	,	PUNCT
cana-5661	138	12	international	international	ADJ
cana-5661	138	13	journal	journal	NOUN
cana-5661	138	14	of	of	ADP
cana-5661	138	15	engineering	engineering	NOUN
cana-5661	138	16	science	science	NOUN
cana-5661	138	17	,	,	PUNCT
cana-5661	138	18	advanced	advanced	ADJ
cana-5661	138	19	computing	computing	NOUN
cana-5661	138	20	and	and	CCONJ
cana-5661	138	21	bio	bio	NOUN
cana-5661	138	22	-	-	NOUN
cana-5661	138	23	technology	technology	NOUN
cana-5661	138	24	,	,	PUNCT
cana-5661	138	25	vol	vol	NOUN
cana-5661	138	26	.	.	PROPN
cana-5661	138	27	2	2	NUM
cana-5661	138	28	,	,	PUNCT
cana-5661	138	29	no	no	INTJ
cana-5661	138	30	.	.	NOUN
cana-5661	138	31	1	1	NUM
cana-5661	138	32	,	,	PUNCT
cana-5661	138	33	pp	pp	ADJ
cana-5661	138	34	.	.	PUNCT
cana-5661	139	1	38−46	38−46	NUM
cana-5661	139	2	,	,	PUNCT
cana-5661	139	3	(	(	PUNCT
cana-5661	139	4	2011	2011	NUM
cana-5661	139	5	)	)	PUNCT
cana-5661	139	6	communications	communication	NOUN
cana-5661	139	7	on	on	ADP
cana-5661	139	8	applied	apply	VERB
cana-5661	139	9	nonlinear	nonlinear	ADJ
cana-5661	139	10	analysis	analysis	NOUN
cana-5661	139	11	issn	issn	NOUN
cana-5661	139	12	:	:	PUNCT
cana-5661	139	13	1074	1074	NUM
cana-5661	139	14	-	-	PUNCT
cana-5661	139	15	133x	133x	NUM
cana-5661	139	16	vol	vol	NOUN
cana-5661	139	17	31	31	NUM
cana-5661	139	18	no	no	NOUN
cana-5661	139	19	.	.	PUNCT
cana-5661	140	1	7s	7	NOUN
cana-5661	140	2	(	(	PUNCT
cana-5661	140	3	2024	2024	NUM
cana-5661	140	4	)	)	PUNCT
cana-5661	141	1	752	752	NUM
cana-5661	141	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-5661	141	3	2	2	X
cana-5661	141	4	.	.	PUNCT
cana-5661	141	5	bhanumathi	bhanumathi	PROPN
cana-5661	141	6	m	m	PROPN
cana-5661	141	7	and	and	CCONJ
cana-5661	141	8	muthammai	muthammai	NOUN
cana-5661	141	9	s	s	NOUN
cana-5661	141	10	,	,	PUNCT
cana-5661	141	11	further	further	ADJ
cana-5661	141	12	results	result	NOUN
cana-5661	141	13	on	on	ADP
cana-5661	141	14	eccentric	eccentric	ADJ
cana-5661	141	15	domination	domination	NOUN
cana-5661	141	16	in	in	ADP
cana-5661	141	17	graphs	graph	NOUN
cana-5661	141	18	,	,	PUNCT
cana-5661	141	19	international	international	ADJ
cana-5661	141	20	journal	journal	NOUN
cana-5661	141	21	of	of	ADP
cana-5661	141	22	engineering	engineering	NOUN
cana-5661	141	23	science	science	NOUN
cana-5661	141	24	,	,	PUNCT
cana-5661	141	25	advanced	advanced	ADJ
cana-5661	141	26	computing	computing	NOUN
cana-5661	141	27	and	and	CCONJ
cana-5661	141	28	biotechnology	biotechnology	NOUN
cana-5661	141	29	,	,	PUNCT
cana-5661	141	30	vol	vol	NOUN
cana-5661	141	31	.	.	PROPN
cana-5661	141	32	3	3	NUM
cana-5661	141	33	,	,	PUNCT
cana-5661	141	34	issue	issue	NOUN
cana-5661	141	35	4	4	NUM
cana-5661	141	36	,	,	PUNCT
cana-5661	141	37	pp	pp	ADJ
cana-5661	141	38	.	.	PUNCT
cana-5661	142	1	185−190	185−190	NUM
cana-5661	142	2	,	,	PUNCT
cana-5661	142	3	(	(	PUNCT
cana-5661	142	4	2012	2012	NUM
cana-5661	142	5	)	)	PUNCT
cana-5661	143	1	3	3	NUM
cana-5661	143	2	.	.	X
cana-5661	143	3	bhanumanthi	bhanumanthi	PROPN
cana-5661	143	4	m	m	PROPN
cana-5661	143	5	and	and	CCONJ
cana-5661	143	6	john	john	PROPN
cana-5661	143	7	flavia	flavia	PROPN
cana-5661	143	8	j	j	PROPN
cana-5661	143	9	,	,	PUNCT
cana-5661	143	10	eccentric	eccentric	ADJ
cana-5661	143	11	domination	domination	NOUN
cana-5661	143	12	in	in	ADP
cana-5661	143	13	trees	tree	NOUN
cana-5661	143	14	,	,	PUNCT
cana-5661	143	15	international	international	ADJ
cana-5661	143	16	journal	journal	NOUN
cana-5661	143	17	of	of	ADP
cana-5661	143	18	engineering	engineering	NOUN
cana-5661	143	19	science	science	NOUN
cana-5661	143	20	,	,	PUNCT
cana-5661	143	21	advanced	advanced	ADJ
cana-5661	143	22	computing	computing	NOUN
cana-5661	143	23	and	and	CCONJ
cana-5661	143	24	bio	bio	NOUN
cana-5661	143	25	-	-	NOUN
cana-5661	143	26	technology	technology	NOUN
cana-5661	143	27	,	,	PUNCT
cana-5661	143	28	vol	vol	NOUN
cana-5661	143	29	.	.	PROPN
cana-5661	143	30	7	7	NUM
cana-5661	143	31	,	,	PUNCT
cana-5661	143	32	no	no	INTJ
cana-5661	143	33	.	.	NOUN
cana-5661	143	34	1	1	NUM
cana-5661	143	35	,	,	PUNCT
cana-5661	143	36	pp	pp	ADJ
cana-5661	143	37	.	.	PUNCT
cana-5661	143	38	1−15,(2016	1−15,(2016	NUM
cana-5661	143	39	)	)	PUNCT
cana-5661	143	40	4	4	NUM
cana-5661	143	41	.	.	X
cana-5661	144	1	bhanumathi	bhanumathi	PROPN
cana-5661	144	2	m	m	PROPN
cana-5661	144	3	and	and	CCONJ
cana-5661	144	4	sudhasenthil	sudhasenthil	ADJ
cana-5661	144	5	,	,	PUNCT
cana-5661	144	6	the	the	DET
cana-5661	144	7	split	split	NOUN
cana-5661	144	8	and	and	CCONJ
cana-5661	144	9	nonsplit	nonsplit	VERB
cana-5661	144	10	eccentric	eccentric	ADJ
cana-5661	144	11	domination	domination	NOUN
cana-5661	144	12	number	number	NOUN
cana-5661	144	13	of	of	ADP
cana-5661	144	14	a	a	DET
cana-5661	144	15	graphs	graph	NOUN
cana-5661	144	16	,	,	PUNCT
cana-5661	144	17	international	international	ADJ
cana-5661	144	18	journal	journal	NOUN
cana-5661	144	19	of	of	ADP
cana-5661	144	20	mathematics	mathematic	NOUN
cana-5661	144	21	and	and	CCONJ
cana-5661	144	22	scientific	scientific	ADJ
cana-5661	144	23	computing	computing	NOUN
cana-5661	144	24	,	,	PUNCT
cana-5661	144	25	vol	vol	NOUN
cana-5661	144	26	.	.	PROPN
cana-5661	144	27	4	4	NUM
cana-5661	144	28	,	,	PUNCT
cana-5661	144	29	no	no	INTJ
cana-5661	144	30	.	.	NOUN
cana-5661	144	31	2	2	NUM
cana-5661	144	32	,	,	PUNCT
cana-5661	144	33	pp	pp	ADJ
cana-5661	144	34	.	.	PUNCT
cana-5661	145	1	2231−5330	2231−5330	NUM
cana-5661	145	2	,	,	PUNCT
cana-5661	145	3	(	(	PUNCT
cana-5661	145	4	2014	2014	NUM
cana-5661	145	5	)	)	PUNCT
cana-5661	145	6	5	5	NUM
cana-5661	145	7	.	.	X
cana-5661	145	8	buckley	buckley	PROPN
cana-5661	145	9	f	f	PROPN
cana-5661	145	10	and	and	CCONJ
cana-5661	145	11	harary	harary	PROPN
cana-5661	145	12	f	f	NOUN
cana-5661	145	13	,	,	PUNCT
cana-5661	145	14	distance	distance	NOUN
cana-5661	145	15	in	in	ADP
cana-5661	145	16	graphs	graph	NOUN
cana-5661	145	17	,	,	PUNCT
cana-5661	145	18	addison	addison	PROPN
cana-5661	145	19	-	-	PUNCT
cana-5661	145	20	wesley	wesley	PROPN
cana-5661	145	21	,	,	PUNCT
cana-5661	145	22	publishing	publish	VERB
cana-5661	145	23	company	company	NOUN
cana-5661	145	24	,	,	PUNCT
cana-5661	145	25	(	(	PUNCT
cana-5661	145	26	1990	1990	NUM
cana-5661	145	27	)	)	PUNCT
cana-5661	145	28	6	6	NUM
cana-5661	145	29	.	.	PUNCT
cana-5661	145	30	carmelito	carmelito	PROPN
cana-5661	145	31	egay	egay	PROPN
cana-5661	145	32	go	go	VERB
cana-5661	145	33	and	and	CCONJ
cana-5661	145	34	sergio	sergio	PROPN
cana-5661	145	35	r	r	PROPN
cana-5661	145	36	canoy	canoy	PROPN
cana-5661	145	37	jr	jr	PROPN
cana-5661	145	38	,	,	PUNCT
cana-5661	145	39	domination	domination	NOUN
cana-5661	145	40	in	in	ADP
cana-5661	145	41	the	the	DET
cana-5661	145	42	corona	corona	NOUN
cana-5661	145	43	and	and	CCONJ
cana-5661	145	44	join	join	VERB
cana-5661	145	45	of	of	ADP
cana-5661	145	46	graphs	graph	NOUN
cana-5661	145	47	,	,	PUNCT
cana-5661	145	48	international	international	PROPN
cana-5661	145	49	mathematical	mathematical	ADJ
cana-5661	145	50	forum	forum	PROPN
cana-5661	145	51	,	,	PUNCT
cana-5661	145	52	vol	vol	NOUN
cana-5661	145	53	.	.	PROPN
cana-5661	146	1	6	6	NUM
cana-5661	146	2	,	,	PUNCT
cana-5661	146	3	no	no	INTJ
cana-5661	146	4	.	.	NOUN
cana-5661	146	5	16	16	NUM
cana-5661	146	6	,	,	PUNCT
cana-5661	146	7	763	763	NUM
cana-5661	146	8	-	-	SYM
cana-5661	146	9	771	771	NUM
cana-5661	146	10	,	,	PUNCT
cana-5661	146	11	(	(	PUNCT
cana-5661	146	12	2011	2011	NUM
cana-5661	146	13	)	)	PUNCT
cana-5661	146	14	7	7	NUM
cana-5661	146	15	.	.	PUNCT
cana-5661	146	16	cockayne	cockayne	NOUN
cana-5661	146	17	,	,	PUNCT
cana-5661	146	18	e	e	PROPN
cana-5661	146	19	j	j	PROPN
cana-5661	146	20	and	and	CCONJ
cana-5661	146	21	hedetniemi	hedetniemi	PROPN
cana-5661	146	22	s	s	PROPN
cana-5661	146	23	t	t	PROPN
cana-5661	146	24	,	,	PUNCT
cana-5661	146	25	towards	towards	ADP
cana-5661	146	26	a	a	DET
cana-5661	146	27	theory	theory	NOUN
cana-5661	146	28	of	of	ADP
cana-5661	146	29	domination	domination	NOUN
cana-5661	146	30	in	in	ADP
cana-5661	146	31	graphs	graph	NOUN
cana-5661	146	32	,	,	PUNCT
cana-5661	146	33	networks	network	NOUN
cana-5661	146	34	,	,	PUNCT
cana-5661	146	35	7−247−261	7−247−261	NUM
cana-5661	146	36	,	,	PUNCT
cana-5661	146	37	(	(	PUNCT
cana-5661	146	38	1977	1977	NUM
cana-5661	146	39	)	)	PUNCT
cana-5661	146	40	8	8	NUM
cana-5661	146	41	.	.	PUNCT
cana-5661	147	1	harary	harary	PROPN
cana-5661	147	2	f	f	PROPN
cana-5661	147	3	,	,	PUNCT
cana-5661	147	4	graph	graph	NOUN
cana-5661	147	5	theory	theory	NOUN
cana-5661	147	6	,	,	PUNCT
cana-5661	147	7	addition	addition	NOUN
cana-5661	147	8	-	-	PUNCT
cana-5661	147	9	wesley	wesley	PROPN
cana-5661	147	10	publishing	publishing	NOUN
cana-5661	147	11	company	company	NOUN
cana-5661	147	12	,	,	PUNCT
cana-5661	147	13	reading	reading	NOUN
cana-5661	147	14	,	,	PUNCT
cana-5661	147	15	mass	mass	NOUN
cana-5661	147	16	(	(	PUNCT
cana-5661	147	17	1972	1972	NUM
cana-5661	147	18	)	)	PUNCT
cana-5661	147	19	9	9	NUM
cana-5661	147	20	.	.	X
cana-5661	148	1	janakiraman	janakiraman	PROPN
cana-5661	148	2	t	t	PROPN
cana-5661	148	3	n	n	CCONJ
cana-5661	148	4	,	,	PUNCT
cana-5661	148	5	bhanumathi	bhanumathi	NOUN
cana-5661	148	6	m	m	NOUN
cana-5661	148	7	and	and	CCONJ
cana-5661	148	8	muthammai	muthammai	NOUN
cana-5661	148	9	s	s	NOUN
cana-5661	148	10	,	,	PUNCT
cana-5661	148	11	eccentric	eccentric	ADJ
cana-5661	148	12	domination	domination	NOUN
cana-5661	148	13	in	in	ADP
cana-5661	148	14	graphs	graph	NOUN
cana-5661	148	15	,	,	PUNCT
cana-5661	148	16	international	international	ADJ
cana-5661	148	17	journal	journal	NOUN
cana-5661	148	18	of	of	ADP
cana-5661	148	19	engineering	engineering	NOUN
cana-5661	148	20	science	science	NOUN
cana-5661	148	21	,	,	PUNCT
cana-5661	148	22	computing	computing	NOUN
cana-5661	148	23	and	and	CCONJ
cana-5661	148	24	biotechnology	biotechnology	NOUN
cana-5661	148	25	,	,	PUNCT
cana-5661	148	26	vol	vol	NOUN
cana-5661	148	27	.	.	PROPN
cana-5661	148	28	1	1	NUM
cana-5661	148	29	,	,	PUNCT
cana-5661	148	30	no	no	INTJ
cana-5661	148	31	.	.	NOUN
cana-5661	148	32	2	2	NUM
cana-5661	148	33	,	,	PUNCT
cana-5661	148	34	pp	pp	ADJ
cana-5661	148	35	.	.	PUNCT
cana-5661	149	1	1−16	1−16	PROPN
cana-5661	149	2	,	,	PUNCT
cana-5661	149	3	(	(	PUNCT
cana-5661	149	4	2010	2010	NUM
cana-5661	149	5	)	)	PUNCT
cana-5661	149	6	10	10	NUM
cana-5661	149	7	.	.	PUNCT
cana-5661	150	1	kulli	kulli	PROPN
cana-5661	150	2	v	v	ADP
cana-5661	150	3	r	r	NOUN
cana-5661	150	4	,	,	PUNCT
cana-5661	150	5	theory	theory	NOUN
cana-5661	150	6	of	of	ADP
cana-5661	150	7	domination	domination	NOUN
cana-5661	150	8	in	in	ADP
cana-5661	150	9	graphs	graph	NOUN
cana-5661	150	10	,	,	PUNCT
cana-5661	150	11	vishwa	vishwa	PROPN
cana-5661	150	12	international	international	PROPN
cana-5661	150	13	publications	publication	NOUN
cana-5661	150	14	,	,	PUNCT
cana-5661	150	15	(	(	PUNCT
cana-5661	150	16	2010	2010	NUM
cana-5661	150	17	)	)	PUNCT
cana-5661	150	18	11	11	NUM
cana-5661	150	19	.	.	PUNCT
cana-5661	151	1	kulli	kulli	PROPN
cana-5661	151	2	v	v	ADP
cana-5661	151	3	r	r	NOUN
cana-5661	151	4	and	and	CCONJ
cana-5661	151	5	janakiram	janakiram	PROPN
cana-5661	151	6	b	b	PROPN
cana-5661	151	7	,	,	PUNCT
cana-5661	151	8	the	the	DET
cana-5661	151	9	non	non	NOUN
cana-5661	151	10	split	split	ADJ
cana-5661	151	11	domination	domination	NOUN
cana-5661	151	12	number	number	NOUN
cana-5661	151	13	of	of	ADP
cana-5661	151	14	a	a	DET
cana-5661	151	15	graph	graph	NOUN
cana-5661	151	16	,	,	PUNCT
cana-5661	151	17	the	the	DET
cana-5661	151	18	journal	journal	NOUN
cana-5661	151	19	of	of	ADP
cana-5661	151	20	pure	pure	ADJ
cana-5661	151	21	and	and	CCONJ
cana-5661	151	22	applied	applied	ADJ
cana-5661	151	23	mathematics	mathematic	NOUN
cana-5661	151	24	,	,	PUNCT
cana-5661	151	25	vol	vol	NOUN
cana-5661	151	26	.	.	PUNCT
cana-5661	152	1	31,no.5	31,no.5	NUM
cana-5661	152	2	,	,	PUNCT
cana-5661	152	3	pp	pp	PRON
cana-5661	152	4	,	,	PUNCT
cana-5661	152	5	545	545	NUM
cana-5661	152	6	-	-	SYM
cana-5661	152	7	550	550	NUM
cana-5661	152	8	,	,	PUNCT
cana-5661	152	9	(	(	PUNCT
cana-5661	152	10	2000	2000	NUM
cana-5661	152	11	)	)	PUNCT
cana-5661	152	12	12	12	NUM
cana-5661	152	13	.	.	PUNCT
cana-5661	153	1	palani	palani	PROPN
cana-5661	153	2	k	k	PROPN
cana-5661	153	3	,	,	PUNCT
cana-5661	153	4	nagarajan	nagarajan	NOUN
cana-5661	153	5	a	a	PRON
cana-5661	153	6	and	and	CCONJ
cana-5661	153	7	shanthi	shanthi	PROPN
cana-5661	153	8	p	p	PROPN
cana-5661	153	9	,	,	PUNCT
cana-5661	153	10	detour	detour	NOUN
cana-5661	153	11	domination	domination	NOUN
cana-5661	153	12	number	number	NOUN
cana-5661	153	13	of	of	ADP
cana-5661	153	14	corona	corona	NOUN
cana-5661	153	15	product	product	NOUN
cana-5661	153	16	of	of	ADP
cana-5661	153	17	graphs	graph	NOUN
cana-5661	153	18	,	,	PUNCT
cana-5661	153	19	adv	adv	PROPN
cana-5661	153	20	math	math	PROPN
cana-5661	153	21	sci	sci	PROPN
cana-5661	153	22	journal	journal	PROPN
cana-5661	153	23	,	,	PUNCT
cana-5661	153	24	special	special	ADJ
cana-5661	153	25	issue	issue	NOUN
cana-5661	153	26	:	:	PUNCT
cana-5661	153	27	icrapam	icrapam	NOUN
cana-5661	153	28	,	,	PUNCT
cana-5661	153	29	no	no	INTJ
cana-5661	153	30	.	.	NOUN
cana-5661	153	31	3	3	NUM
cana-5661	153	32	,	,	PUNCT
cana-5661	153	33	pp	pp	CCONJ
cana-5661	153	34	:	:	PUNCT
cana-5661	153	35	17	17	NUM
cana-5661	153	36	–	–	PUNCT
cana-5661	153	37	25	25	NUM
cana-5661	153	38	.	.	NOUN
cana-5661	153	39	2019	2019	NUM
cana-5661	153	40	.	.	PUNCT
cana-5661	154	1	13	13	NUM
cana-5661	154	2	.	.	PUNCT
cana-5661	155	1	teresa	teresa	PROPN
cana-5661	155	2	w.	w.	PROPN
cana-5661	155	3	haynes	haynes	PROPN
cana-5661	155	4	,	,	PUNCT
cana-5661	155	5	stephen	stephen	PROPN
cana-5661	155	6	hedetniemi	hedetniemi	PROPN
cana-5661	155	7	,	,	PUNCT
cana-5661	155	8	peter	peter	PROPN
cana-5661	155	9	slater	slater	PROPN
cana-5661	155	10	,	,	PUNCT
cana-5661	155	11	fundamentals	fundamental	NOUN
cana-5661	155	12	of	of	ADP
cana-5661	155	13	domination	domination	NOUN
cana-5661	155	14	in	in	ADP
cana-5661	155	15	graphs	graph	NOUN
cana-5661	155	16	,	,	PUNCT
cana-5661	155	17	marcel	marcel	PROPN
cana-5661	155	18	dekker	dekker	PROPN
cana-5661	155	19	,	,	PUNCT
cana-5661	155	20	new	new	PROPN
cana-5661	155	21	york	york	PROPN
cana-5661	155	22	(	(	PUNCT
cana-5661	155	23	1998	1998	NUM
cana-5661	155	24	)	)	PUNCT
cana-5661	155	25	.	.	PUNCT
cana-5661	156	1	14	14	NUM
cana-5661	156	2	.	.	PUNCT
cana-5661	157	1	vidhya	vidhya	PROPN
cana-5661	157	2	p	p	PROPN
cana-5661	157	3	,	,	PUNCT
cana-5661	157	4	jayalakshmi	jayalakshmi	PROPN
cana-5661	157	5	s	s	PROPN
cana-5661	157	6	,	,	PUNCT
cana-5661	157	7	complementary	complementary	ADJ
cana-5661	157	8	tree	tree	NOUN
cana-5661	157	9	domination	domination	NOUN
cana-5661	157	10	of	of	ADP
cana-5661	157	11	corona	corona	NOUN
cana-5661	157	12	product	product	NOUN
cana-5661	157	13	of	of	ADP
cana-5661	157	14	cycle	cycle	NOUN
cana-5661	157	15	cn	cn	PROPN
cana-5661	157	16	with	with	ADP
cana-5661	157	17	some	some	DET
cana-5661	157	18	standard	standard	ADJ
cana-5661	157	19	graphs	graph	NOUN
cana-5661	157	20	,	,	PUNCT
cana-5661	157	21	design	design	NOUN
cana-5661	157	22	engineering	engineering	NOUN
cana-5661	157	23	,	,	PUNCT
cana-5661	157	24	issue	issue	NOUN
cana-5661	157	25	:	:	PUNCT
cana-5661	157	26	9,pp	9,pp	NUM
cana-5661	157	27	:	:	PUNCT
cana-5661	157	28	5057	5057	NUM
cana-5661	157	29	–	–	PUNCT
cana-5661	157	30	5065,(2021	5065,(2021	NUM
cana-5661	157	31	)	)	PUNCT