id	sid	tid	token	lemma	pos
cana-2535	1	1	communications	communication	NOUN
cana-2535	1	2	on	on	ADP
cana-2535	1	3	applied	apply	VERB
cana-2535	1	4	nonlinear	nonlinear	ADJ
cana-2535	1	5	analysis	analysis	NOUN
cana-2535	1	6	issn	issn	NOUN
cana-2535	1	7	:	:	PUNCT
cana-2535	1	8	1074	1074	NUM
cana-2535	1	9	-	-	PUNCT
cana-2535	1	10	133x	133x	NUM
cana-2535	1	11	vol	vol	NOUN
cana-2535	1	12	32	32	NUM
cana-2535	1	13	no	no	NOUN
cana-2535	1	14	.	.	PUNCT
cana-2535	2	1	3s	3s	NUM
cana-2535	2	2	(	(	PUNCT
cana-2535	2	3	2025	2025	NUM
cana-2535	2	4	)	)	PUNCT
cana-2535	2	5	60	60	NUM
cana-2535	2	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-2535	2	7	accurate	accurate	ADJ
cana-2535	2	8	domination	domination	NOUN
cana-2535	2	9	in	in	ADP
cana-2535	2	10	fuzzy	fuzzy	ADJ
cana-2535	2	11	digraphs	digraph	NOUN
cana-2535	2	12	using	use	VERB
cana-2535	2	13	strong	strong	ADJ
cana-2535	2	14	arc	arc	NOUN
cana-2535	2	15	1s.sureka	1s.sureka	NOUN
cana-2535	2	16	,	,	PUNCT
cana-2535	2	17	2dr.g.suganthi	2dr.g.suganthi	NUM
cana-2535	2	18	,	,	PUNCT
cana-2535	2	19	3vallabh	3vallabh	NUM
cana-2535	2	20	shinde	shinde	NOUN
cana-2535	2	21	,	,	PUNCT
cana-2535	2	22	4s	4s	NUM
cana-2535	2	23	.	.	PUNCT
cana-2535	3	1	ramya	ramya	PROPN
cana-2535	3	2	,	,	PUNCT
cana-2535	3	3	5a.marydayana	5a.marydayana	NUM
cana-2535	3	4	,	,	PUNCT
cana-2535	3	5	6r.poornavalli	6r.poornavalli	NUM
cana-2535	3	6	,	,	PUNCT
cana-2535	3	7	7dr.s.vasantha	7dr.s.vasantha	NUM
cana-2535	3	8	gowri	gowri	PROPN
cana-2535	3	9	1research	1research	NUM
cana-2535	3	10	scholar	scholar	NOUN
cana-2535	3	11	,	,	PUNCT
cana-2535	3	12	department	department	NOUN
cana-2535	3	13	of	of	ADP
cana-2535	3	14	mathematics	mathematics	PROPN
cana-2535	3	15	,	,	PUNCT
cana-2535	3	16	srm	srm	PROPN
cana-2535	3	17	institute	institute	PROPN
cana-2535	3	18	of	of	ADP
cana-2535	3	19	science	science	NOUN
cana-2535	3	20	and	and	CCONJ
cana-2535	3	21	technology	technology	NOUN
cana-2535	3	22	,	,	PUNCT
cana-2535	3	23	trichy	trichy	NOUN
cana-2535	3	24	campus	campus	PROPN
cana-2535	3	25	,	,	PUNCT
cana-2535	3	26	trichy	trichy	NOUN
cana-2535	3	27	621105	621105	NUM
cana-2535	3	28	.	.	PUNCT
cana-2535	4	1	1email	1email	NUM
cana-2535	4	2	i	i	X
cana-2535	4	3	d	d	NOUN
cana-2535	4	4	:	:	PUNCT
cana-2535	4	5	sureka24122001@gmail.com	sureka24122001@gmail.com	X
cana-2535	5	1	2assistant	2assistant	NUM
cana-2535	5	2	professor	professor	NOUN
cana-2535	5	3	,	,	PUNCT
cana-2535	5	4	department	department	NOUN
cana-2535	5	5	of	of	ADP
cana-2535	5	6	mathematics	mathematics	PROPN
cana-2535	5	7	,	,	PUNCT
cana-2535	5	8	sona	sona	PROPN
cana-2535	5	9	college	college	PROPN
cana-2535	5	10	of	of	ADP
cana-2535	5	11	technology	technology	NOUN
cana-2535	5	12	,	,	PUNCT
cana-2535	5	13	salem	salem	NOUN
cana-2535	5	14	-636005	-636005	PROPN
cana-2535	5	15	.	.	PUNCT
cana-2535	6	1	2email	2email	NUM
cana-2535	6	2	i	i	NOUN
cana-2535	6	3	d	d	PROPN
cana-2535	6	4	:	:	PUNCT
cana-2535	6	5	suganthig@sonatech.ac.in	suganthig@sonatech.ac.in	PROPN
cana-2535	6	6	3assistant	3assistant	NUM
cana-2535	6	7	professor	professor	NOUN
cana-2535	6	8	,	,	PUNCT
cana-2535	6	9	nutan	nutan	PROPN
cana-2535	6	10	maharashtra	maharashtra	PROPN
cana-2535	6	11	institute	institute	PROPN
cana-2535	6	12	of	of	ADP
cana-2535	6	13	engineering	engineering	NOUN
cana-2535	6	14	and	and	CCONJ
cana-2535	6	15	technology	technology	NOUN
cana-2535	6	16	,	,	PUNCT
cana-2535	6	17	(	(	PUNCT
cana-2535	6	18	nmiet),talegaon	nmiet),talegaon	X
cana-2535	6	19	.	.	PUNCT
cana-2535	6	20	*	*	PROPN
cana-2535	7	1	3email	3email	NUM
cana-2535	7	2	i	i	PROPN
cana-2535	7	3	d	d	NOUN
cana-2535	7	4	:	:	PUNCT
cana-2535	7	5	vallabh.shinde@nmiet.edu.in	vallabh.shinde@nmiet.edu.in	VERB
cana-2535	7	6	4associate	4associate	NUM
cana-2535	7	7	professor	professor	NOUN
cana-2535	7	8	,	,	PUNCT
cana-2535	7	9	department	department	NOUN
cana-2535	7	10	of	of	ADP
cana-2535	7	11	mathematics	mathematics	PROPN
cana-2535	7	12	division	division	NOUN
cana-2535	7	13	,	,	PUNCT
cana-2535	7	14	saveetha	saveetha	PROPN
cana-2535	7	15	institue	institue	PROPN
cana-2535	7	16	of	of	ADP
cana-2535	7	17	medical	medical	ADJ
cana-2535	7	18	and	and	CCONJ
cana-2535	7	19	technical	technical	ADJ
cana-2535	7	20	sciences	science	NOUN
cana-2535	7	21	,	,	PUNCT
cana-2535	7	22	thandalam	thandalam	PROPN
cana-2535	7	23	,	,	PUNCT
cana-2535	7	24	tamilnadu	tamilnadu	ADJ
cana-2535	7	25	.	.	PUNCT
cana-2535	8	1	4email	4email	NUM
cana-2535	8	2	i	i	NOUN
cana-2535	8	3	d	d	PROPN
cana-2535	8	4	:	:	PUNCT
cana-2535	8	5	ramyadheeru10@gmail.com	ramyadheeru10@gmail.com	X
cana-2535	9	1	5assistant	5assistant	NUM
cana-2535	9	2	professor	professor	NOUN
cana-2535	9	3	,	,	PUNCT
cana-2535	9	4	department	department	NOUN
cana-2535	9	5	of	of	ADP
cana-2535	9	6	mathematics	mathematic	NOUN
cana-2535	9	7	,	,	PUNCT
cana-2535	9	8	erode	erode	VERB
cana-2535	9	9	sengunthar	sengunthar	ADJ
cana-2535	9	10	engineering	engineering	PROPN
cana-2535	9	11	college	college	PROPN
cana-2535	9	12	,	,	PUNCT
cana-2535	9	13	perundurai	perundurai	NOUN
cana-2535	9	14	,	,	PUNCT
cana-2535	9	15	erode-638057	erode-638057	NOUN
cana-2535	9	16	.	.	PUNCT
cana-2535	10	1	5email	5email	NUM
cana-2535	10	2	id:dayanalilly@gmail.com	id:dayanalilly@gmail.com	X
cana-2535	10	3	6assistant	6assistant	NUM
cana-2535	10	4	professor	professor	NOUN
cana-2535	10	5	,	,	PUNCT
cana-2535	10	6	department	department	NOUN
cana-2535	10	7	of	of	ADP
cana-2535	10	8	mathematics	mathematics	PROPN
cana-2535	10	9	,	,	PUNCT
cana-2535	10	10	sns	sns	PROPN
cana-2535	10	11	college	college	PROPN
cana-2535	10	12	of	of	ADP
cana-2535	10	13	technology	technology	NOUN
cana-2535	10	14	,	,	PUNCT
cana-2535	10	15	coimbatore	coimbatore	PROPN
cana-2535	10	16	6	6	NUM
cana-2535	10	17	email	email	NOUN
cana-2535	10	18	i	i	PROPN
cana-2535	10	19	d	d	PROPN
cana-2535	10	20	:	:	PUNCT
cana-2535	10	21	poorna.r.math@snsct.org	poorna.r.math@snsct.org	ADJ
cana-2535	10	22	7assistant	7assistant	PROPN
cana-2535	10	23	professor	professor	NOUN
cana-2535	10	24	,	,	PUNCT
cana-2535	10	25	department	department	NOUN
cana-2535	10	26	of	of	ADP
cana-2535	10	27	mathematics	mathematics	PROPN
cana-2535	10	28	,	,	PUNCT
cana-2535	10	29	srm	srm	PROPN
cana-2535	10	30	institute	institute	PROPN
cana-2535	10	31	of	of	ADP
cana-2535	10	32	science	science	NOUN
cana-2535	10	33	and	and	CCONJ
cana-2535	10	34	technology	technology	NOUN
cana-2535	10	35	,	,	PUNCT
cana-2535	10	36	trichy	trichy	NOUN
cana-2535	10	37	campus	campus	PROPN
cana-2535	10	38	,	,	PUNCT
cana-2535	10	39	trichy	trichy	NOUN
cana-2535	10	40	621105	621105	NUM
cana-2535	10	41	.	.	PUNCT
cana-2535	11	1	7corresponding	7corresponde	VERB
cana-2535	11	2	author	author	NOUN
cana-2535	11	3	email	email	NOUN
cana-2535	11	4	i	i	PROPN
cana-2535	11	5	d	d	PROPN
cana-2535	11	6	:	:	PUNCT
cana-2535	11	7	vasanthagowri.s@ist.srmtrichy.edu.in	vasanthagowri.s@ist.srmtrichy.edu.in	ADJ
cana-2535	11	8	article	article	NOUN
cana-2535	11	9	history	history	NOUN
cana-2535	11	10	:	:	PUNCT
cana-2535	11	11	received	receive	VERB
cana-2535	11	12	:	:	PUNCT
cana-2535	11	13	20	20	NUM
cana-2535	11	14	-	-	SYM
cana-2535	11	15	09	09	NUM
cana-2535	11	16	-	-	PUNCT
cana-2535	11	17	2024	2024	NUM
cana-2535	11	18	revised	revise	VERB
cana-2535	11	19	:	:	PUNCT
cana-2535	11	20	02	02	NUM
cana-2535	11	21	-	-	SYM
cana-2535	11	22	11	11	NUM
cana-2535	11	23	-	-	PUNCT
cana-2535	11	24	2024	2024	NUM
cana-2535	11	25	accepted	accept	VERB
cana-2535	11	26	:	:	PUNCT
cana-2535	11	27	16	16	NUM
cana-2535	11	28	-	-	SYM
cana-2535	11	29	11	11	NUM
cana-2535	11	30	-	-	PUNCT
cana-2535	11	31	2024	2024	NUM
cana-2535	11	32	abstract	abstract	NOUN
cana-2535	11	33	:	:	PUNCT
cana-2535	11	34	in	in	ADP
cana-2535	11	35	this	this	DET
cana-2535	11	36	paper	paper	NOUN
cana-2535	11	37	,	,	PUNCT
cana-2535	11	38	we	we	PRON
cana-2535	11	39	introduce	introduce	VERB
cana-2535	11	40	the	the	DET
cana-2535	11	41	concept	concept	NOUN
cana-2535	11	42	of	of	ADP
cana-2535	11	43	accurate	accurate	ADJ
cana-2535	11	44	dominating	dominating	NOUN
cana-2535	11	45	set	set	VERB
cana-2535	11	46	in	in	ADP
cana-2535	11	47	fuzzy	fuzzy	ADJ
cana-2535	11	48	digraphs	digraph	NOUN
cana-2535	11	49	using	use	VERB
cana-2535	11	50	strong	strong	ADJ
cana-2535	11	51	arc	arc	NOUN
cana-2535	11	52	and	and	CCONJ
cana-2535	11	53	also	also	ADV
cana-2535	11	54	an	an	DET
cana-2535	11	55	accurate	accurate	ADJ
cana-2535	11	56	domination	domination	NOUN
cana-2535	11	57	number	number	NOUN
cana-2535	11	58	of	of	ADP
cana-2535	11	59	a	a	DET
cana-2535	11	60	fuzzy	fuzzy	ADJ
cana-2535	11	61	digraph	digraph	NOUN
cana-2535	11	62	.	.	PUNCT
cana-2535	12	1	in	in	ADP
cana-2535	12	2	a	a	DET
cana-2535	12	3	fuzzy	fuzzy	ADJ
cana-2535	12	4	digraph	digraph	NOUN
cana-2535	12	5	,	,	PUNCT
cana-2535	12	6	a	a	DET
cana-2535	12	7	subset	subset	NOUN
cana-2535	12	8	d	d	NOUN
cana-2535	12	9	of	of	ADP
cana-2535	12	10	v	v	NOUN
cana-2535	12	11	is	be	AUX
cana-2535	12	12	an	an	DET
cana-2535	12	13	accurate	accurate	ADJ
cana-2535	12	14	fuzzy	fuzzy	ADJ
cana-2535	12	15	dominating	dominating	NOUN
cana-2535	12	16	set	set	NOUN
cana-2535	12	17	of	of	ADP
cana-2535	12	18	a	a	DET
cana-2535	12	19	fuzzy	fuzzy	ADJ
cana-2535	12	20	digraph	digraph	NOUN
cana-2535	12	21	if	if	SCONJ
cana-2535	12	22	every	every	DET
cana-2535	12	23	node	node	NOUN
cana-2535	12	24	σd(v	σd(v	NOUN
cana-2535	12	25	)	)	PUNCT
cana-2535	12	26	є	є	PRON
cana-2535	12	27	v	v	NOUN
cana-2535	12	28	-	-	PUNCT
cana-2535	12	29	d	d	NOUN
cana-2535	12	30	is	be	AUX
cana-2535	12	31	not	not	PART
cana-2535	12	32	dominated	dominate	VERB
cana-2535	12	33	by	by	ADP
cana-2535	12	34	atleast	atleast	ADJ
cana-2535	12	35	one	one	NUM
cana-2535	12	36	node	node	NOUN
cana-2535	12	37	σd(u	σd(u	NUM
cana-2535	12	38	)	)	PUNCT
cana-2535	12	39	є	є	ADP
cana-2535	12	40	d	d	NOUN
cana-2535	12	41	with	with	ADP
cana-2535	12	42	same	same	ADJ
cana-2535	12	43	cardinality	cardinality	NOUN
cana-2535	12	44	|d|	|d|	PROPN
cana-2535	12	45	.	.	PUNCT
cana-2535	13	1	the	the	DET
cana-2535	13	2	accurate	accurate	ADJ
cana-2535	13	3	domination	domination	NOUN
cana-2535	13	4	number	number	NOUN
cana-2535	13	5	of	of	ADP
cana-2535	13	6	a	a	DET
cana-2535	13	7	fuzzy	fuzzy	ADJ
cana-2535	13	8	digraph	digraph	NOUN
cana-2535	13	9	is	be	AUX
cana-2535	13	10	the	the	DET
cana-2535	13	11	minimum	minimum	ADJ
cana-2535	13	12	cardinality	cardinality	NOUN
cana-2535	13	13	of	of	ADP
cana-2535	13	14	an	an	DET
cana-2535	13	15	accurate	accurate	ADJ
cana-2535	13	16	dominating	dominating	NOUN
cana-2535	13	17	set	set	NOUN
cana-2535	13	18	which	which	PRON
cana-2535	13	19	is	be	AUX
cana-2535	13	20	denoted	denote	VERB
cana-2535	13	21	by	by	ADP
cana-2535	13	22	γfa(gd).the	γfa(gd).the	DET
cana-2535	13	23	upper	upper	ADJ
cana-2535	13	24	domination	domination	NOUN
cana-2535	13	25	number	number	NOUN
cana-2535	13	26	γfa(gd	γfa(gd	VERB
cana-2535	13	27	)	)	PUNCT
cana-2535	13	28	is	be	AUX
cana-2535	13	29	the	the	DET
cana-2535	13	30	maximum	maximum	ADJ
cana-2535	13	31	cardinality	cardinality	NOUN
cana-2535	13	32	of	of	ADP
cana-2535	13	33	an	an	DET
cana-2535	13	34	accurate	accurate	ADJ
cana-2535	13	35	dominating	dominating	NOUN
cana-2535	13	36	set	set	NOUN
cana-2535	13	37	.	.	PUNCT
cana-2535	14	1	we	we	PRON
cana-2535	14	2	prove	prove	VERB
cana-2535	14	3	some	some	DET
cana-2535	14	4	results	result	NOUN
cana-2535	14	5	on	on	ADP
cana-2535	14	6	accurate	accurate	ADJ
cana-2535	14	7	dominating	dominating	NOUN
cana-2535	14	8	set	set	NOUN
cana-2535	14	9	of	of	ADP
cana-2535	14	10	a	a	DET
cana-2535	14	11	fuzzy	fuzzy	ADJ
cana-2535	14	12	digraph	digraph	NOUN
cana-2535	14	13	.	.	PUNCT
cana-2535	15	1	also	also	ADV
cana-2535	15	2	we	we	PRON
cana-2535	15	3	have	have	AUX
cana-2535	15	4	modified	modify	VERB
cana-2535	15	5	folyd	folyd	NOUN
cana-2535	15	6	warshall	warshall	PROPN
cana-2535	15	7	’s	’s	PART
cana-2535	15	8	algorithm	algorithm	NOUN
cana-2535	15	9	to	to	ADP
cana-2535	15	10	fuzzy	fuzzy	ADJ
cana-2535	15	11	domination	domination	NOUN
cana-2535	15	12	digraphs	digraph	VERB
cana-2535	15	13	for	for	ADP
cana-2535	15	14	finding	find	VERB
cana-2535	15	15	an	an	DET
cana-2535	15	16	accurate	accurate	ADJ
cana-2535	15	17	dominating	dominating	NOUN
cana-2535	15	18	set	set	NOUN
cana-2535	15	19	.	.	PUNCT
cana-2535	16	1	keywords	keyword	NOUN
cana-2535	16	2	:	:	PUNCT
cana-2535	16	3	fuzzy	fuzzy	ADJ
cana-2535	16	4	digraph	digraph	NOUN
cana-2535	16	5	,	,	PUNCT
cana-2535	16	6	strong	strong	ADJ
cana-2535	16	7	arc	arc	NOUN
cana-2535	16	8	,	,	PUNCT
cana-2535	16	9	dominating	dominating	NOUN
cana-2535	16	10	set	set	NOUN
cana-2535	16	11	,	,	PUNCT
cana-2535	16	12	accurate	accurate	ADJ
cana-2535	16	13	dominating	dominating	NOUN
cana-2535	16	14	set	set	NOUN
cana-2535	16	15	,	,	PUNCT
cana-2535	16	16	accurate	accurate	ADJ
cana-2535	16	17	domination	domination	NOUN
cana-2535	16	18	number	number	NOUN
cana-2535	16	19	.	.	PUNCT
cana-2535	17	1	1	1	X
cana-2535	17	2	.	.	X
cana-2535	17	3	introduction	introduction	NOUN
cana-2535	17	4	graph	graph	NOUN
cana-2535	17	5	theory	theory	NOUN
cana-2535	17	6	was	be	AUX
cana-2535	17	7	introduced	introduce	VERB
cana-2535	17	8	by	by	ADP
cana-2535	17	9	the	the	DET
cana-2535	17	10	swiss	swiss	ADJ
cana-2535	17	11	mathematician	mathematician	PROPN
cana-2535	17	12	leonhard	leonhard	PROPN
cana-2535	17	13	euler	euler	PROPN
cana-2535	17	14	in	in	ADP
cana-2535	17	15	1736[1	1736[1	NUM
cana-2535	17	16	]	]	PUNCT
cana-2535	17	17	.	.	PUNCT
cana-2535	18	1	euler	euler	PROPN
cana-2535	18	2	is	be	AUX
cana-2535	18	3	often	often	ADV
cana-2535	18	4	credited	credit	VERB
cana-2535	18	5	as	as	ADP
cana-2535	18	6	the	the	DET
cana-2535	18	7	founder	founder	NOUN
cana-2535	18	8	of	of	ADP
cana-2535	18	9	graph	graph	NOUN
cana-2535	18	10	theory	theory	NOUN
cana-2535	18	11	due	due	ADP
cana-2535	18	12	to	to	ADP
cana-2535	18	13	his	his	PRON
cana-2535	18	14	work	work	NOUN
cana-2535	18	15	on	on	ADP
cana-2535	18	16	the	the	DET
cana-2535	18	17	seven	seven	NUM
cana-2535	18	18	bridges	bridge	NOUN
cana-2535	18	19	of	of	ADP
cana-2535	18	20	konigsberg	konigsberg	PROPN
cana-2535	18	21	problem	problem	NOUN
cana-2535	18	22	.	.	PUNCT
cana-2535	19	1	graph	graph	NOUN
cana-2535	19	2	theory	theory	NOUN
cana-2535	19	3	is	be	AUX
cana-2535	19	4	the	the	DET
cana-2535	19	5	study	study	NOUN
cana-2535	19	6	of	of	ADP
cana-2535	19	7	graphs	graph	NOUN
cana-2535	19	8	which	which	PRON
cana-2535	19	9	are	be	AUX
cana-2535	19	10	mathematical	mathematical	ADJ
cana-2535	19	11	structures	structure	NOUN
cana-2535	19	12	that	that	PRON
cana-2535	19	13	represent	represent	VERB
cana-2535	19	14	a	a	DET
cana-2535	19	15	function	function	NOUN
cana-2535	19	16	by	by	ADP
cana-2535	19	17	connecting	connect	VERB
cana-2535	19	18	vertices	vertex	NOUN
cana-2535	19	19	.	.	PUNCT
cana-2535	20	1	the	the	DET
cana-2535	20	2	concept	concept	NOUN
cana-2535	20	3	of	of	ADP
cana-2535	20	4	domination	domination	NOUN
cana-2535	20	5	in	in	ADP
cana-2535	20	6	graph	graph	NOUN
cana-2535	20	7	theory	theory	NOUN
cana-2535	20	8	was	be	AUX
cana-2535	20	9	introduced	introduce	VERB
cana-2535	20	10	in	in	ADP
cana-2535	20	11	the	the	DET
cana-2535	20	12	year	year	NOUN
cana-2535	20	13	1950	1950	NUM
cana-2535	20	14	by	by	ADP
cana-2535	20	15	american	american	PROPN
cana-2535	20	16	mathematician	mathematician	PROPN
cana-2535	20	17	claude	claude	PROPN
cana-2535	20	18	berge	berge	PROPN
cana-2535	20	19	and	and	CCONJ
cana-2535	20	20	ore[2,3	ore[2,3	NOUN
cana-2535	20	21	]	]	PUNCT
cana-2535	20	22	.	.	PUNCT
cana-2535	21	1	berge	berge	NOUN
cana-2535	21	2	is	be	AUX
cana-2535	21	3	widely	widely	ADV
cana-2535	21	4	regarded	regard	VERB
cana-2535	21	5	for	for	ADP
cana-2535	21	6	his	his	PRON
cana-2535	21	7	work	work	NOUN
cana-2535	21	8	in	in	ADP
cana-2535	21	9	graph	graph	NOUN
cana-2535	21	10	theory	theory	NOUN
cana-2535	21	11	,	,	PUNCT
cana-2535	21	12	combinatorics	combinatoric	NOUN
cana-2535	21	13	and	and	CCONJ
cana-2535	21	14	published	publish	VERB
cana-2535	21	15	extensively	extensively	ADV
cana-2535	21	16	on	on	ADP
cana-2535	21	17	these	these	DET
cana-2535	21	18	subjects	subject	NOUN
cana-2535	21	19	.	.	PUNCT
cana-2535	22	1	the	the	DET
cana-2535	22	2	specific	specific	ADJ
cana-2535	22	3	idea	idea	NOUN
cana-2535	22	4	of	of	ADP
cana-2535	22	5	domination	domination	NOUN
cana-2535	22	6	where	where	SCONJ
cana-2535	22	7	a	a	DET
cana-2535	22	8	set	set	NOUN
cana-2535	22	9	of	of	ADP
cana-2535	22	10	vertices	vertex	NOUN
cana-2535	22	11	in	in	ADP
cana-2535	22	12	a	a	DET
cana-2535	22	13	graph	graph	NOUN
cana-2535	22	14	has	have	VERB
cana-2535	22	15	the	the	DET
cana-2535	22	16	property	property	NOUN
cana-2535	22	17	that	that	PRON
cana-2535	22	18	every	every	DET
cana-2535	22	19	other	other	ADJ
cana-2535	22	20	vertex	vertex	NOUN
cana-2535	22	21	is	be	AUX
cana-2535	22	22	adjacent	adjacent	ADJ
cana-2535	22	23	to	to	PART
cana-2535	22	24	atleast	atleast	VERB
cana-2535	22	25	one	one	NUM
cana-2535	22	26	vertex	vertex	NOUN
cana-2535	22	27	in	in	ADP
cana-2535	22	28	the	the	DET
cana-2535	22	29	set	set	NOUN
cana-2535	22	30	.	.	PUNCT
cana-2535	23	1	domination	domination	NOUN
cana-2535	23	2	in	in	ADP
cana-2535	23	3	graph	graph	NOUN
cana-2535	23	4	theory	theory	NOUN
cana-2535	23	5	has	have	AUX
cana-2535	23	6	expanded	expand	VERB
cana-2535	23	7	into	into	ADP
cana-2535	23	8	many	many	ADJ
cana-2535	23	9	variations	variation	NOUN
cana-2535	23	10	such	such	ADJ
cana-2535	23	11	as	as	ADP
cana-2535	23	12	independent	independent	ADJ
cana-2535	23	13	domination	domination	NOUN
cana-2535	23	14	,	,	PUNCT
cana-2535	23	15	total	total	ADJ
cana-2535	23	16	domination	domination	NOUN
cana-2535	23	17	,	,	PUNCT
cana-2535	23	18	each	each	PRON
cana-2535	23	19	adding	add	VERB
cana-2535	23	20	specific	specific	ADJ
cana-2535	23	21	conditions	condition	NOUN
cana-2535	23	22	or	or	CCONJ
cana-2535	23	23	constraints	constraint	NOUN
cana-2535	23	24	to	to	ADP
cana-2535	23	25	the	the	DET
cana-2535	23	26	original	original	ADJ
cana-2535	23	27	concept	concept	NOUN
cana-2535	23	28	.	.	PUNCT
cana-2535	24	1	mailto:suganthig@sonatech.ac.in	mailto:suganthig@sonatech.ac.in	PROPN
cana-2535	24	2	mailto:vallabh.shinde@nmiet.edu.in	mailto:vallabh.shinde@nmiet.edu.in	PROPN
cana-2535	24	3	mailto:ramyadheeru10@gmail.com	mailto:ramyadheeru10@gmail.com	PROPN
cana-2535	24	4	mailto:poorna.r.math@snsct.org	mailto:poorna.r.math@snsct.org	PROPN
cana-2535	24	5	mailto:vasanthagowri.s@ist.srmtrichy.edu.in	mailto:vasanthagowri.s@ist.srmtrichy.edu.in	NOUN
cana-2535	24	6	communications	communication	NOUN
cana-2535	24	7	on	on	ADP
cana-2535	24	8	applied	apply	VERB
cana-2535	24	9	nonlinear	nonlinear	ADJ
cana-2535	24	10	analysis	analysis	NOUN
cana-2535	24	11	issn	issn	NOUN
cana-2535	24	12	:	:	PUNCT
cana-2535	24	13	1074	1074	NUM
cana-2535	24	14	-	-	PUNCT
cana-2535	24	15	133x	133x	NUM
cana-2535	24	16	vol	vol	NOUN
cana-2535	24	17	32	32	NUM
cana-2535	24	18	no	no	NOUN
cana-2535	24	19	.	.	PUNCT
cana-2535	25	1	3s	3s	NUM
cana-2535	25	2	(	(	PUNCT
cana-2535	25	3	2025	2025	NUM
cana-2535	25	4	)	)	PUNCT
cana-2535	25	5	61	61	NUM
cana-2535	25	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2535	25	7	the	the	DET
cana-2535	25	8	concept	concept	NOUN
cana-2535	25	9	of	of	ADP
cana-2535	25	10	independent	independent	ADJ
cana-2535	25	11	domination	domination	NOUN
cana-2535	25	12	in	in	ADP
cana-2535	25	13	graph	graph	NOUN
cana-2535	25	14	theory	theory	NOUN
cana-2535	25	15	was	be	AUX
cana-2535	25	16	introduced	introduce	VERB
cana-2535	25	17	by	by	ADP
cana-2535	25	18	cockayne	cockayne	NOUN
cana-2535	25	19	and	and	CCONJ
cana-2535	25	20	hedetniemi	hedetniemi	NOUN
cana-2535	25	21	to	to	PART
cana-2535	25	22	explore	explore	VERB
cana-2535	25	23	a	a	DET
cana-2535	25	24	set	set	NOUN
cana-2535	25	25	of	of	ADP
cana-2535	25	26	vertices	vertex	NOUN
cana-2535	25	27	that	that	PRON
cana-2535	25	28	is	be	AUX
cana-2535	25	29	both	both	CCONJ
cana-2535	25	30	an	an	DET
cana-2535	25	31	independent	independent	ADJ
cana-2535	25	32	set	set	NOUN
cana-2535	25	33	and	and	CCONJ
cana-2535	25	34	a	a	DET
cana-2535	25	35	dominating	dominating	NOUN
cana-2535	25	36	set[4	set[4	ADV
cana-2535	25	37	]	]	PUNCT
cana-2535	25	38	.	.	PUNCT
cana-2535	26	1	research	research	NOUN
cana-2535	26	2	into	into	ADP
cana-2535	26	3	total	total	ADJ
cana-2535	26	4	domination	domination	NOUN
cana-2535	26	5	was	be	AUX
cana-2535	26	6	significantly	significantly	ADV
cana-2535	26	7	advanced	advanced	ADJ
cana-2535	26	8	in	in	ADP
cana-2535	26	9	the	the	DET
cana-2535	26	10	1970	1970	NUM
cana-2535	26	11	’s	’s	NOUN
cana-2535	26	12	and	and	CCONJ
cana-2535	26	13	1980	1980	NUM
cana-2535	26	14	’s	’s	NOUN
cana-2535	26	15	with	with	ADP
cana-2535	26	16	contributions	contribution	NOUN
cana-2535	26	17	from	from	ADP
cana-2535	26	18	e.j	e.j	PROPN
cana-2535	26	19	.	.	PROPN
cana-2535	26	20	cockayne	cockayne	PROPN
cana-2535	26	21	,	,	PUNCT
cana-2535	26	22	rm.dawes	rm.dawe	NOUN
cana-2535	26	23	and	and	CCONJ
cana-2535	26	24	s.t.hedetniemi	s.t.hedetniemi	NOUN
cana-2535	26	25	who	who	PRON
cana-2535	26	26	formalized	formalize	VERB
cana-2535	26	27	and	and	CCONJ
cana-2535	26	28	studied	study	VERB
cana-2535	26	29	various	various	ADJ
cana-2535	26	30	properties	property	NOUN
cana-2535	26	31	and	and	CCONJ
cana-2535	26	32	applications	application	NOUN
cana-2535	26	33	of	of	ADP
cana-2535	26	34	these	these	DET
cana-2535	26	35	concepts	concept	NOUN
cana-2535	26	36	in	in	ADP
cana-2535	26	37	graphs	graph	NOUN
cana-2535	26	38	.	.	PUNCT
cana-2535	27	1	the	the	DET
cana-2535	27	2	concept	concept	NOUN
cana-2535	27	3	of	of	ADP
cana-2535	27	4	an	an	DET
cana-2535	27	5	accurate	accurate	ADJ
cana-2535	27	6	domination	domination	NOUN
cana-2535	27	7	in	in	ADP
cana-2535	27	8	graphs	graph	NOUN
cana-2535	27	9	was	be	AUX
cana-2535	27	10	presented	present	VERB
cana-2535	27	11	by	by	ADP
cana-2535	27	12	kulli	kulli	PROPN
cana-2535	27	13	and	and	CCONJ
cana-2535	27	14	kattimani[5	kattimani[5	PROPN
cana-2535	27	15	]	]	PUNCT
cana-2535	27	16	.	.	PUNCT
cana-2535	28	1	accurate	accurate	ADJ
cana-2535	28	2	domination	domination	NOUN
cana-2535	28	3	is	be	AUX
cana-2535	28	4	a	a	DET
cana-2535	28	5	relatively	relatively	ADV
cana-2535	28	6	recent	recent	ADJ
cana-2535	28	7	addition	addition	NOUN
cana-2535	28	8	to	to	ADP
cana-2535	28	9	the	the	DET
cana-2535	28	10	study	study	NOUN
cana-2535	28	11	of	of	ADP
cana-2535	28	12	domination	domination	NOUN
cana-2535	28	13	in	in	ADP
cana-2535	28	14	graphs	graph	NOUN
cana-2535	28	15	and	and	CCONJ
cana-2535	28	16	is	be	AUX
cana-2535	28	17	a	a	DET
cana-2535	28	18	variation	variation	NOUN
cana-2535	28	19	on	on	ADP
cana-2535	28	20	traditional	traditional	ADJ
cana-2535	28	21	domination	domination	NOUN
cana-2535	28	22	concepts	concept	NOUN
cana-2535	28	23	.	.	PUNCT
cana-2535	29	1	zadeh	zadeh	NOUN
cana-2535	30	1	[	[	X
cana-2535	30	2	8	8	NUM
cana-2535	30	3	]	]	PUNCT
cana-2535	30	4	introduced	introduce	VERB
cana-2535	30	5	the	the	DET
cana-2535	30	6	concept	concept	NOUN
cana-2535	30	7	of	of	ADP
cana-2535	30	8	fuzzy	fuzzy	ADJ
cana-2535	30	9	set	set	NOUN
cana-2535	30	10	theory	theory	NOUN
cana-2535	30	11	in	in	ADP
cana-2535	30	12	1965	1965	NUM
cana-2535	30	13	.	.	PUNCT
cana-2535	31	1	the	the	DET
cana-2535	31	2	concept	concept	NOUN
cana-2535	31	3	of	of	ADP
cana-2535	31	4	fuzzy	fuzzy	ADJ
cana-2535	31	5	graph	graph	NOUN
cana-2535	31	6	was	be	AUX
cana-2535	31	7	introduced	introduce	VERB
cana-2535	31	8	by	by	ADP
cana-2535	31	9	a.rosenfeld	a.rosenfeld	ADV
cana-2535	31	10	in	in	ADP
cana-2535	31	11	1975	1975	NUM
cana-2535	32	1	[	[	X
cana-2535	32	2	8	8	NUM
cana-2535	32	3	]	]	PUNCT
cana-2535	32	4	.	.	PUNCT
cana-2535	33	1	rosenfeld	rosenfeld	PROPN
cana-2535	33	2	extended	extend	VERB
cana-2535	33	3	classical	classical	ADJ
cana-2535	33	4	graph	graph	NOUN
cana-2535	33	5	theory	theory	NOUN
cana-2535	33	6	by	by	ADP
cana-2535	33	7	incorporating	incorporate	VERB
cana-2535	33	8	fuzzy	fuzzy	ADJ
cana-2535	33	9	set	set	NOUN
cana-2535	33	10	theory	theory	NOUN
cana-2535	33	11	which	which	PRON
cana-2535	33	12	was	be	AUX
cana-2535	33	13	introduced	introduce	VERB
cana-2535	33	14	by	by	ADP
cana-2535	33	15	zadeh	zadeh	PROPN
cana-2535	33	16	.	.	PUNCT
cana-2535	34	1	fuzzy	fuzzy	ADJ
cana-2535	34	2	graphs	graph	NOUN
cana-2535	34	3	apply	apply	VERB
cana-2535	34	4	the	the	DET
cana-2535	34	5	principles	principle	NOUN
cana-2535	34	6	of	of	ADP
cana-2535	34	7	fuzzy	fuzzy	ADJ
cana-2535	34	8	sets	set	NOUN
cana-2535	34	9	to	to	PART
cana-2535	34	10	graphs	graphs	VERB
cana-2535	34	11	allowing	allow	VERB
cana-2535	34	12	the	the	DET
cana-2535	34	13	edges	edge	NOUN
cana-2535	34	14	and	and	CCONJ
cana-2535	34	15	nodes	node	NOUN
cana-2535	34	16	to	to	PART
cana-2535	34	17	have	have	VERB
cana-2535	34	18	degree	degree	NOUN
cana-2535	34	19	of	of	ADP
cana-2535	34	20	membership	membership	NOUN
cana-2535	34	21	between	between	ADP
cana-2535	34	22	0	0	NUM
cana-2535	34	23	and	and	CCONJ
cana-2535	34	24	1	1	NUM
cana-2535	34	25	.	.	X
cana-2535	35	1	this	this	DET
cana-2535	35	2	approach	approach	NOUN
cana-2535	35	3	allows	allow	VERB
cana-2535	35	4	for	for	ADP
cana-2535	35	5	modelling	model	VERB
cana-2535	35	6	uncertain	uncertain	ADJ
cana-2535	35	7	or	or	CCONJ
cana-2535	35	8	imprecise	imprecise	ADJ
cana-2535	35	9	relationships	relationship	NOUN
cana-2535	35	10	.	.	PUNCT
cana-2535	36	1	a.somasundaram	a.somasundaram	PROPN
cana-2535	36	2	and	and	CCONJ
cana-2535	36	3	n.somasundaram	n.somasundaram	NOUN
cana-2535	37	1	[	[	X
cana-2535	37	2	9	9	NUM
cana-2535	37	3	]	]	PUNCT
cana-2535	37	4	originated	originate	VERB
cana-2535	37	5	the	the	DET
cana-2535	37	6	concept	concept	NOUN
cana-2535	37	7	of	of	ADP
cana-2535	37	8	domination	domination	NOUN
cana-2535	37	9	in	in	ADP
cana-2535	37	10	fuzzy	fuzzy	ADJ
cana-2535	37	11	graphs	graph	NOUN
cana-2535	37	12	using	use	VERB
cana-2535	37	13	effective	effective	ADJ
cana-2535	37	14	arcs	arc	NOUN
cana-2535	37	15	.	.	PUNCT
cana-2535	38	1	nagoor	nagoor	PROPN
cana-2535	38	2	gani	gani	PROPN
cana-2535	38	3	and	and	CCONJ
cana-2535	38	4	chandrasekaran	chandrasekaran	VERB
cana-2535	38	5	[	[	X
cana-2535	38	6	10	10	NUM
cana-2535	38	7	]	]	PUNCT
cana-2535	38	8	discussed	discuss	VERB
cana-2535	38	9	domination	domination	NOUN
cana-2535	38	10	in	in	ADP
cana-2535	38	11	fuzzy	fuzzy	ADJ
cana-2535	38	12	graphs	graph	NOUN
cana-2535	38	13	using	use	VERB
cana-2535	38	14	strong	strong	ADJ
cana-2535	38	15	arcs	arc	NOUN
cana-2535	38	16	.	.	PUNCT
cana-2535	39	1	domination	domination	NOUN
cana-2535	39	2	,	,	PUNCT
cana-2535	39	3	independent	independent	ADJ
cana-2535	39	4	domination	domination	NOUN
cana-2535	39	5	and	and	CCONJ
cana-2535	39	6	irredundance	irredundance	NOUN
cana-2535	39	7	in	in	ADP
cana-2535	39	8	fuzzy	fuzzy	ADJ
cana-2535	39	9	graphs	graph	NOUN
cana-2535	39	10	using	use	VERB
cana-2535	39	11	strong	strong	ADJ
cana-2535	39	12	arc	arc	NOUN
cana-2535	39	13	was	be	AUX
cana-2535	39	14	discussed	discuss	VERB
cana-2535	39	15	by	by	ADP
cana-2535	39	16	nagoor	nagoor	PROPN
cana-2535	39	17	gani	gani	PROPN
cana-2535	39	18	and	and	CCONJ
cana-2535	39	19	vadivel	vadivel	VERB
cana-2535	39	20	[	[	X
cana-2535	39	21	11	11	NUM
cana-2535	39	22	]	]	PUNCT
cana-2535	39	23	.	.	PUNCT
cana-2535	40	1	c.y.ponnayan	c.y.ponnayan	PROPN
cana-2535	40	2	and	and	CCONJ
cana-2535	40	3	a.selvam	a.selvam	PROPN
cana-2535	40	4	presented	present	VERB
cana-2535	40	5	the	the	DET
cana-2535	40	6	concept	concept	NOUN
cana-2535	40	7	of	of	ADP
cana-2535	40	8	accurate	accurate	ADJ
cana-2535	40	9	domination	domination	NOUN
cana-2535	40	10	in	in	ADP
cana-2535	40	11	fuzzy	fuzzy	ADJ
cana-2535	40	12	graphs	graph	NOUN
cana-2535	40	13	using	use	VERB
cana-2535	40	14	strong	strong	ADJ
cana-2535	40	15	arc[12	arc[12	PROPN
cana-2535	40	16	]	]	PUNCT
cana-2535	40	17	.	.	PUNCT
cana-2535	41	1	the	the	DET
cana-2535	41	2	concept	concept	NOUN
cana-2535	41	3	of	of	ADP
cana-2535	41	4	domination	domination	NOUN
cana-2535	41	5	in	in	ADP
cana-2535	41	6	fuzzy	fuzzy	ADJ
cana-2535	41	7	digraphs	digraph	NOUN
cana-2535	41	8	was	be	AUX
cana-2535	41	9	discussed	discuss	VERB
cana-2535	41	10	by	by	ADP
cana-2535	41	11	g.nirmala	g.nirmala	NOUN
cana-2535	41	12	and	and	CCONJ
cana-2535	41	13	m.sheela	m.sheela	NOUN
cana-2535	42	1	[	[	X
cana-2535	42	2	13	13	NUM
cana-2535	42	3	]	]	PUNCT
cana-2535	42	4	.	.	PUNCT
cana-2535	43	1	the	the	DET
cana-2535	43	2	folyd	folyd	PROPN
cana-2535	43	3	warshall	warshall	PROPN
cana-2535	43	4	algorithm	algorithm	NOUN
cana-2535	43	5	was	be	AUX
cana-2535	43	6	published	publish	VERB
cana-2535	43	7	by	by	ADP
cana-2535	43	8	robert	robert	PROPN
cana-2535	43	9	folyd	folyd	PROPN
cana-2535	43	10	in	in	ADP
cana-2535	43	11	1962	1962	NUM
cana-2535	43	12	[	[	X
cana-2535	43	13	14	14	NUM
cana-2535	43	14	]	]	PUNCT
cana-2535	43	15	.	.	PUNCT
cana-2535	44	1	it	it	PRON
cana-2535	44	2	is	be	AUX
cana-2535	44	3	essentially	essentially	ADV
cana-2535	44	4	the	the	DET
cana-2535	44	5	same	same	ADJ
cana-2535	44	6	as	as	ADP
cana-2535	44	7	algorithm	algorithm	NOUN
cana-2535	44	8	previously	previously	ADV
cana-2535	44	9	by	by	ADP
cana-2535	44	10	bernard	bernard	PROPN
cana-2535	44	11	roy	roy	PROPN
cana-2535	44	12	in	in	ADP
cana-2535	44	13	1959	1959	NUM
cana-2535	44	14	and	and	CCONJ
cana-2535	44	15	also	also	ADV
cana-2535	44	16	by	by	ADP
cana-2535	44	17	stephen	stephen	PROPN
cana-2535	44	18	warshall	warshall	PROPN
cana-2535	44	19	in	in	ADP
cana-2535	44	20	1962	1962	NUM
cana-2535	44	21	for	for	AUX
cana-2535	44	22	find	find	VERB
cana-2535	44	23	the	the	DET
cana-2535	44	24	transitive	transitive	ADJ
cana-2535	44	25	closure	closure	NOUN
cana-2535	44	26	of	of	ADP
cana-2535	44	27	a	a	DET
cana-2535	44	28	graph	graph	NOUN
cana-2535	44	29	.	.	PUNCT
cana-2535	45	1	2.preliminaries	2.preliminaries	NUM
cana-2535	45	2	definition	definition	NOUN
cana-2535	45	3	2.1	2.1	NUM
cana-2535	45	4	a	a	DET
cana-2535	45	5	graph	graph	NOUN
cana-2535	45	6	g	g	NOUN
cana-2535	45	7	=	=	PUNCT
cana-2535	45	8	(	(	PUNCT
cana-2535	45	9	v	v	NOUN
cana-2535	45	10	,	,	PUNCT
cana-2535	45	11	e	e	NOUN
cana-2535	45	12	)	)	PUNCT
cana-2535	45	13	consists	consist	VERB
cana-2535	45	14	of	of	ADP
cana-2535	45	15	a	a	DET
cana-2535	45	16	set	set	NOUN
cana-2535	45	17	v	v	NOUN
cana-2535	45	18	of	of	ADP
cana-2535	45	19	vertices	vertex	NOUN
cana-2535	45	20	(	(	PUNCT
cana-2535	45	21	also	also	ADV
cana-2535	45	22	called	call	VERB
cana-2535	45	23	nodes	node	NOUN
cana-2535	45	24	)	)	PUNCT
cana-2535	45	25	and	and	CCONJ
cana-2535	45	26	a	a	DET
cana-2535	45	27	set	set	ADJ
cana-2535	45	28	e	e	NOUN
cana-2535	45	29	of	of	ADP
cana-2535	45	30	edges	edge	NOUN
cana-2535	45	31	(	(	PUNCT
cana-2535	45	32	also	also	ADV
cana-2535	45	33	called	call	VERB
cana-2535	45	34	arcs	arc	NOUN
cana-2535	45	35	)	)	PUNCT
cana-2535	45	36	.	.	PUNCT
cana-2535	46	1	definition	definition	NOUN
cana-2535	46	2	2.2	2.2	NUM
cana-2535	46	3	if	if	SCONJ
cana-2535	46	4	an	an	DET
cana-2535	46	5	edge	edge	NOUN
cana-2535	46	6	connects	connect	VERB
cana-2535	46	7	to	to	ADP
cana-2535	46	8	a	a	DET
cana-2535	46	9	vertex	vertex	NOUN
cana-2535	46	10	we	we	PRON
cana-2535	46	11	say	say	VERB
cana-2535	46	12	the	the	DET
cana-2535	46	13	edge	edge	NOUN
cana-2535	46	14	is	be	AUX
cana-2535	46	15	incident	incident	NOUN
cana-2535	46	16	to	to	ADP
cana-2535	46	17	the	the	DET
cana-2535	46	18	vertex	vertex	NOUN
cana-2535	46	19	and	and	CCONJ
cana-2535	46	20	say	say	VERB
cana-2535	46	21	the	the	DET
cana-2535	46	22	vertex	vertex	NOUN
cana-2535	46	23	is	be	AUX
cana-2535	46	24	an	an	DET
cana-2535	46	25	end	end	NOUN
cana-2535	46	26	point	point	NOUN
cana-2535	46	27	of	of	ADP
cana-2535	46	28	the	the	DET
cana-2535	46	29	edge	edge	NOUN
cana-2535	46	30	.	.	PUNCT
cana-2535	47	1	definition	definition	NOUN
cana-2535	47	2	2.3	2.3	NUM
cana-2535	47	3	a	a	DET
cana-2535	47	4	simple	simple	ADJ
cana-2535	47	5	graph	graph	NOUN
cana-2535	47	6	is	be	AUX
cana-2535	47	7	a	a	DET
cana-2535	47	8	graph	graph	NOUN
cana-2535	47	9	with	with	ADP
cana-2535	47	10	no	no	DET
cana-2535	47	11	loop	loop	NOUN
cana-2535	47	12	edges	edge	NOUN
cana-2535	47	13	or	or	CCONJ
cana-2535	47	14	multiple	multiple	ADJ
cana-2535	47	15	edges	edge	NOUN
cana-2535	47	16	.	.	PUNCT
cana-2535	48	1	edges	edge	NOUN
cana-2535	48	2	in	in	ADP
cana-2535	48	3	a	a	DET
cana-2535	48	4	simple	simple	ADJ
cana-2535	48	5	graph	graph	NOUN
cana-2535	48	6	may	may	AUX
cana-2535	48	7	be	be	AUX
cana-2535	48	8	specified	specify	VERB
cana-2535	48	9	by	by	ADP
cana-2535	48	10	a	a	DET
cana-2535	48	11	set	set	NOUN
cana-2535	48	12	{	{	PUNCT
cana-2535	48	13	vi	vi	PROPN
cana-2535	48	14	,	,	PUNCT
cana-2535	48	15	vj	vj	NOUN
cana-2535	48	16	}	}	PUNCT
cana-2535	48	17	of	of	ADP
cana-2535	48	18	the	the	DET
cana-2535	48	19	two	two	NUM
cana-2535	48	20	vertices	vertex	NOUN
cana-2535	48	21	that	that	SCONJ
cana-2535	48	22	the	the	DET
cana-2535	48	23	edge	edge	NOUN
cana-2535	48	24	makes	make	VERB
cana-2535	48	25	adjacent	adjacent	ADJ
cana-2535	48	26	.	.	PUNCT
cana-2535	49	1	a	a	DET
cana-2535	49	2	graph	graph	NOUN
cana-2535	49	3	with	with	ADP
cana-2535	49	4	more	more	ADJ
cana-2535	49	5	than	than	ADP
cana-2535	49	6	one	one	NUM
cana-2535	49	7	edge	edge	NOUN
cana-2535	49	8	between	between	ADP
cana-2535	49	9	a	a	DET
cana-2535	49	10	pair	pair	NOUN
cana-2535	49	11	of	of	ADP
cana-2535	49	12	vertices	vertex	NOUN
cana-2535	49	13	is	be	AUX
cana-2535	49	14	called	call	VERB
cana-2535	49	15	a	a	DET
cana-2535	49	16	multigraph	multigraph	NOUN
cana-2535	49	17	with	with	ADP
cana-2535	49	18	loop	loop	NOUN
cana-2535	49	19	edges	edge	NOUN
cana-2535	49	20	is	be	AUX
cana-2535	49	21	called	call	VERB
cana-2535	49	22	a	a	DET
cana-2535	49	23	pseudograph	pseudograph	NOUN
cana-2535	49	24	.	.	PUNCT
cana-2535	50	1	definition	definition	NOUN
cana-2535	50	2	2.4	2.4	NUM
cana-2535	50	3	a	a	DET
cana-2535	50	4	directed	direct	VERB
cana-2535	50	5	graph	graph	NOUN
cana-2535	50	6	is	be	AUX
cana-2535	50	7	a	a	DET
cana-2535	50	8	graph	graph	NOUN
cana-2535	50	9	in	in	ADP
cana-2535	50	10	which	which	PRON
cana-2535	50	11	the	the	DET
cana-2535	50	12	edges	edge	NOUN
cana-2535	50	13	may	may	AUX
cana-2535	50	14	only	only	ADV
cana-2535	50	15	be	be	AUX
cana-2535	50	16	traverses	traverse	NOUN
cana-2535	50	17	in	in	ADP
cana-2535	50	18	one	one	NUM
cana-2535	50	19	direction	direction	NOUN
cana-2535	50	20	.	.	PUNCT
cana-2535	51	1	edges	edge	NOUN
cana-2535	51	2	in	in	ADP
cana-2535	51	3	a	a	DET
cana-2535	51	4	simple	simple	ADJ
cana-2535	51	5	directed	direct	VERB
cana-2535	51	6	graph	graph	NOUN
cana-2535	51	7	may	may	AUX
cana-2535	51	8	be	be	AUX
cana-2535	51	9	specified	specify	VERB
cana-2535	51	10	by	by	ADP
cana-2535	51	11	an	an	DET
cana-2535	51	12	ordered	order	VERB
cana-2535	51	13	pair	pair	NOUN
cana-2535	51	14	(	(	PUNCT
cana-2535	51	15	vi	vi	NOUN
cana-2535	51	16	,	,	PUNCT
cana-2535	51	17	vj	vj	NOUN
cana-2535	51	18	)	)	PUNCT
cana-2535	51	19	of	of	ADP
cana-2535	51	20	the	the	DET
cana-2535	51	21	two	two	NUM
cana-2535	51	22	vertices	vertex	NOUN
cana-2535	51	23	that	that	SCONJ
cana-2535	51	24	the	the	DET
cana-2535	51	25	edge	edge	NOUN
cana-2535	51	26	connects	connect	VERB
cana-2535	51	27	.	.	PUNCT
cana-2535	52	1	we	we	PRON
cana-2535	52	2	say	say	VERB
cana-2535	52	3	that	that	SCONJ
cana-2535	52	4	vi	vi	PROPN
cana-2535	52	5	is	be	AUX
cana-2535	52	6	adjacent	adjacent	ADJ
cana-2535	52	7	to	to	ADP
cana-2535	52	8	vj	vj	PROPN
cana-2535	52	9	and	and	CCONJ
cana-2535	52	10	vj	vj	PROPN
cana-2535	52	11	is	be	AUX
cana-2535	52	12	adjacent	adjacent	ADJ
cana-2535	52	13	from	from	ADP
cana-2535	52	14	vi	vi	PROPN
cana-2535	52	15	.	.	PUNCT
cana-2535	52	16	communications	communication	NOUN
cana-2535	52	17	on	on	ADP
cana-2535	52	18	applied	apply	VERB
cana-2535	52	19	nonlinear	nonlinear	ADJ
cana-2535	52	20	analysis	analysis	NOUN
cana-2535	52	21	issn	issn	NOUN
cana-2535	52	22	:	:	PUNCT
cana-2535	52	23	1074	1074	NUM
cana-2535	52	24	-	-	PUNCT
cana-2535	52	25	133x	133x	NUM
cana-2535	52	26	vol	vol	NOUN
cana-2535	52	27	32	32	NUM
cana-2535	53	1	no	no	NOUN
cana-2535	53	2	.	.	PUNCT
cana-2535	54	1	3s	3s	NUM
cana-2535	54	2	(	(	PUNCT
cana-2535	54	3	2025	2025	NUM
cana-2535	54	4	)	)	PUNCT
cana-2535	54	5	62	62	NUM
cana-2535	54	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2535	54	7	definition	definition	NOUN
cana-2535	54	8	2.5	2.5	NUM
cana-2535	54	9	a	a	DET
cana-2535	54	10	graph	graph	NOUN
cana-2535	54	11	h	h	NOUN
cana-2535	54	12	is	be	AUX
cana-2535	54	13	a	a	DET
cana-2535	54	14	subgraph	subgraph	NOUN
cana-2535	54	15	of	of	ADP
cana-2535	54	16	a	a	DET
cana-2535	54	17	graph	graph	NOUN
cana-2535	54	18	g	g	NOUN
cana-2535	54	19	if	if	SCONJ
cana-2535	54	20	all	all	DET
cana-2535	54	21	vertices	vertex	NOUN
cana-2535	54	22	and	and	CCONJ
cana-2535	54	23	edges	edge	NOUN
cana-2535	54	24	in	in	ADP
cana-2535	54	25	h	h	NOUN
cana-2535	54	26	are	be	AUX
cana-2535	54	27	also	also	ADV
cana-2535	54	28	in	in	ADP
cana-2535	54	29	g.	g.	PROPN
cana-2535	54	30	definition	definition	NOUN
cana-2535	54	31	2.6	2.6	NUM
cana-2535	54	32	a	a	DET
cana-2535	54	33	fuzzy	fuzzy	ADJ
cana-2535	54	34	graph	graph	NOUN
cana-2535	54	35	is	be	AUX
cana-2535	54	36	g	g	NOUN
cana-2535	54	37	:	:	PUNCT
cana-2535	54	38	(	(	PUNCT
cana-2535	54	39	v	v	NOUN
cana-2535	54	40	,	,	PUNCT
cana-2535	54	41	σ	σ	PROPN
cana-2535	54	42	,	,	PUNCT
cana-2535	54	43	μ	μ	NOUN
cana-2535	54	44	)	)	PUNCT
cana-2535	54	45	,	,	PUNCT
cana-2535	54	46	v	v	NOUN
cana-2535	54	47	is	be	AUX
cana-2535	54	48	the	the	DET
cana-2535	54	49	vertex	vertex	NOUN
cana-2535	54	50	set	set	NOUN
cana-2535	54	51	,	,	PUNCT
cana-2535	54	52	σ	σ	NOUN
cana-2535	54	53	:	:	PUNCT
cana-2535	54	54	v→[0,1	v→[0,1	NOUN
cana-2535	54	55	]	]	PUNCT
cana-2535	54	56	and	and	CCONJ
cana-2535	54	57	μ	μ	NOUN
cana-2535	54	58	:	:	PUNCT
cana-2535	54	59	v×v→[0,1	v×v→[0,1	ADV
cana-2535	54	60	]	]	PUNCT
cana-2535	54	61	where	where	SCONJ
cana-2535	54	62	for	for	ADP
cana-2535	54	63	all	all	DET
cana-2535	54	64	p	p	NOUN
cana-2535	54	65	,	,	PUNCT
cana-2535	54	66	q	q	X
cana-2535	54	67	є	є	PROPN
cana-2535	54	68	v	v	NOUN
cana-2535	55	1	and	and	CCONJ
cana-2535	55	2	we	we	PRON
cana-2535	55	3	have	have	VERB
cana-2535	55	4	μ(p	μ(p	NUM
cana-2535	55	5	,	,	PUNCT
cana-2535	55	6	q	q	NOUN
cana-2535	55	7	)	)	PUNCT
cana-2535	55	8	≤	≤	NOUN
cana-2535	55	9	σ(p	σ(p	PROPN
cana-2535	55	10	)	)	PUNCT
cana-2535	55	11	λ	λ	PROPN
cana-2535	55	12	σ(q	σ(q	PROPN
cana-2535	55	13	)	)	PUNCT
cana-2535	55	14	.	.	PUNCT
cana-2535	56	1	definition	definition	NOUN
cana-2535	56	2	2.7	2.7	NUM
cana-2535	56	3	a	a	DET
cana-2535	56	4	fuzzy	fuzzy	ADJ
cana-2535	56	5	graph	graph	NOUN
cana-2535	56	6	h	h	NOUN
cana-2535	56	7	=	=	SYM
cana-2535	56	8	(	(	PUNCT
cana-2535	56	9	τ	τ	PROPN
cana-2535	56	10	,	,	PUNCT
cana-2535	56	11	ρ	ρ	PROPN
cana-2535	56	12	)	)	PUNCT
cana-2535	56	13	is	be	AUX
cana-2535	56	14	called	call	VERB
cana-2535	56	15	a	a	DET
cana-2535	56	16	fuzzy	fuzzy	ADJ
cana-2535	56	17	subgraph	subgraph	NOUN
cana-2535	56	18	of	of	ADP
cana-2535	56	19	g	g	PROPN
cana-2535	56	20	if	if	SCONJ
cana-2535	56	21	τ	τ	PROPN
cana-2535	56	22	(	(	PUNCT
cana-2535	56	23	vi	vi	NOUN
cana-2535	56	24	)	)	PUNCT
cana-2535	56	25	≤	≤	NOUN
cana-2535	56	26	σ	σ	PROPN
cana-2535	56	27	(	(	PUNCT
cana-2535	56	28	vi	vi	NOUN
cana-2535	56	29	)	)	PUNCT
cana-2535	56	30	for	for	ADP
cana-2535	56	31	all	all	DET
cana-2535	56	32	vi	vi	PROPN
cana-2535	56	33	є	є	PROPN
cana-2535	56	34	v	v	NOUN
cana-2535	56	35	and	and	CCONJ
cana-2535	56	36	ρ	ρ	PROPN
cana-2535	56	37	(	(	PUNCT
cana-2535	56	38	vi	vi	PROPN
cana-2535	56	39	,	,	PUNCT
cana-2535	56	40	vj	vj	NOUN
cana-2535	56	41	)	)	PUNCT
cana-2535	56	42	≤	≤	PROPN
cana-2535	56	43	μ	μ	PROPN
cana-2535	56	44	(	(	PUNCT
cana-2535	56	45	vi	vi	PROPN
cana-2535	56	46	,	,	PUNCT
cana-2535	56	47	vj	vj	NOUN
cana-2535	56	48	)	)	PUNCT
cana-2535	56	49	for	for	ADP
cana-2535	56	50	all	all	DET
cana-2535	56	51	vi	vi	PROPN
cana-2535	56	52	,	,	PUNCT
cana-2535	56	53	vj	vj	INTJ
cana-2535	56	54	є	є	PROPN
cana-2535	56	55	v.	v.	ADP
cana-2535	56	56	definition	definition	NOUN
cana-2535	56	57	2.8	2.8	NUM
cana-2535	56	58	the	the	DET
cana-2535	56	59	underlying	underlie	VERB
cana-2535	56	60	crisp	crisp	ADJ
cana-2535	56	61	graph	graph	NOUN
cana-2535	56	62	of	of	ADP
cana-2535	56	63	a	a	DET
cana-2535	56	64	fuzzy	fuzzy	ADJ
cana-2535	56	65	graph	graph	NOUN
cana-2535	56	66	g	g	PROPN
cana-2535	56	67	=	=	SYM
cana-2535	56	68	(	(	PUNCT
cana-2535	56	69	σ	σ	PROPN
cana-2535	56	70	,	,	PUNCT
cana-2535	56	71	μ	μ	NOUN
cana-2535	56	72	)	)	PUNCT
cana-2535	56	73	is	be	AUX
cana-2535	56	74	denoted	denote	VERB
cana-2535	56	75	by	by	ADP
cana-2535	56	76	g	g	PROPN
cana-2535	56	77	*	*	PUNCT
cana-2535	56	78	=	=	SYM
cana-2535	56	79	(	(	PUNCT
cana-2535	56	80	σ*,μ	σ*,μ	NOUN
cana-2535	56	81	*	*	X
cana-2535	56	82	)	)	PUNCT
cana-2535	56	83	where	where	SCONJ
cana-2535	56	84	σ	σ	X
cana-2535	56	85	*	*	PROPN
cana-2535	56	86	-=	-=	PROPN
cana-2535	56	87	{	{	PUNCT
cana-2535	56	88	vi	vi	PROPN
cana-2535	56	89	є	є	PROPN
cana-2535	56	90	v	v	PROPN
cana-2535	56	91	/	/	SYM
cana-2535	56	92	σ	σ	PROPN
cana-2535	56	93	(	(	PUNCT
cana-2535	56	94	vi	vi	PROPN
cana-2535	56	95	)	)	PUNCT
cana-2535	56	96	>	>	X
cana-2535	56	97	0	0	PUNCT
cana-2535	56	98	}	}	PUNCT
cana-2535	56	99	and	and	CCONJ
cana-2535	56	100	μ	μ	NOUN
cana-2535	56	101	*	*	PROPN
cana-2535	56	102	=	=	SYM
cana-2535	56	103	{	{	PUNCT
cana-2535	56	104	(	(	PUNCT
cana-2535	56	105	vi	vi	PROPN
cana-2535	56	106	,	,	PUNCT
cana-2535	56	107	vj	vj	NOUN
cana-2535	56	108	)	)	PUNCT
cana-2535	56	109	є	є	ADP
cana-2535	56	110	v×v	v×v	PROPN
cana-2535	56	111	/	/	SYM
cana-2535	56	112	μ	μ	PROPN
cana-2535	56	113	(	(	PUNCT
cana-2535	56	114	vi	vi	PROPN
cana-2535	56	115	,	,	PUNCT
cana-2535	56	116	vj	vj	NOUN
cana-2535	56	117	)	)	PUNCT
cana-2535	56	118	is	be	AUX
cana-2535	56	119	a	a	DET
cana-2535	56	120	strong	strong	ADJ
cana-2535	56	121	arc	arc	NOUN
cana-2535	56	122	}	}	PUNCT
cana-2535	56	123	.	.	PUNCT
cana-2535	57	1	definition	definition	NOUN
cana-2535	57	2	2.9	2.9	NUM
cana-2535	57	3	let	let	VERB
cana-2535	57	4	g	g	NOUN
cana-2535	57	5	be	be	AUX
cana-2535	57	6	a	a	DET
cana-2535	57	7	fuzzy	fuzzy	ADJ
cana-2535	57	8	graph	graph	NOUN
cana-2535	57	9	.	.	PUNCT
cana-2535	58	1	let	let	VERB
cana-2535	58	2	u	u	PRON
cana-2535	58	3	and	and	CCONJ
cana-2535	58	4	v	v	NOUN
cana-2535	58	5	be	be	AUX
cana-2535	58	6	two	two	NUM
cana-2535	58	7	distinct	distinct	ADJ
cana-2535	58	8	nodes	node	NOUN
cana-2535	58	9	of	of	ADP
cana-2535	58	10	g.	g.	NOUN
cana-2535	58	11	we	we	PRON
cana-2535	58	12	say	say	VERB
cana-2535	58	13	that	that	SCONJ
cana-2535	58	14	u	u	PRON
cana-2535	58	15	dominates	dominate	VERB
cana-2535	58	16	v	v	NOUN
cana-2535	58	17	if	if	SCONJ
cana-2535	58	18	(	(	PUNCT
cana-2535	58	19	u	u	NOUN
cana-2535	58	20	,	,	PUNCT
cana-2535	58	21	v	v	NOUN
cana-2535	58	22	)	)	PUNCT
cana-2535	58	23	is	be	AUX
cana-2535	58	24	a	a	DET
cana-2535	58	25	strong	strong	ADJ
cana-2535	58	26	arc	arc	NOUN
cana-2535	58	27	.	.	PUNCT
cana-2535	59	1	definition	definition	NOUN
cana-2535	59	2	2.10	2.10	NUM
cana-2535	59	3	a	a	DET
cana-2535	59	4	subset	subset	NOUN
cana-2535	59	5	d	d	NOUN
cana-2535	59	6	of	of	ADP
cana-2535	59	7	v	v	NOUN
cana-2535	59	8	is	be	AUX
cana-2535	59	9	called	call	VERB
cana-2535	59	10	a	a	DET
cana-2535	59	11	dominating	dominating	NOUN
cana-2535	59	12	set	set	NOUN
cana-2535	59	13	of	of	ADP
cana-2535	59	14	g	g	PROPN
cana-2535	59	15	if	if	SCONJ
cana-2535	59	16	for	for	ADP
cana-2535	59	17	every	every	DET
cana-2535	59	18	v	v	NOUN
cana-2535	59	19	є	є	PRON
cana-2535	59	20	v	v	NOUN
cana-2535	59	21	-	-	SYM
cana-2535	59	22	d	d	NOUN
cana-2535	59	23	,	,	PUNCT
cana-2535	59	24	there	there	PRON
cana-2535	59	25	exists	exist	VERB
cana-2535	59	26	u	u	NOUN
cana-2535	59	27	є	є	PROPN
cana-2535	59	28	d	d	X
cana-2535	59	29	such	such	ADJ
cana-2535	59	30	that	that	SCONJ
cana-2535	59	31	u	u	PROPN
cana-2535	59	32	dominates	dominate	VERB
cana-2535	59	33	v.	v.	ADP
cana-2535	59	34	the	the	DET
cana-2535	59	35	domination	domination	NOUN
cana-2535	59	36	number	number	NOUN
cana-2535	59	37	γ(g	γ(g	PROPN
cana-2535	59	38	)	)	PUNCT
cana-2535	59	39	of	of	ADP
cana-2535	59	40	a	a	DET
cana-2535	59	41	fuzzy	fuzzy	ADJ
cana-2535	59	42	graph	graph	NOUN
cana-2535	59	43	g	g	PROPN
cana-2535	59	44	is	be	AUX
cana-2535	59	45	the	the	DET
cana-2535	59	46	minimum	minimum	ADJ
cana-2535	59	47	cardinality	cardinality	NOUN
cana-2535	59	48	of	of	ADP
cana-2535	59	49	a	a	DET
cana-2535	59	50	fuzzy	fuzzy	ADJ
cana-2535	59	51	dominating	dominating	NOUN
cana-2535	59	52	set	set	VERB
cana-2535	59	53	in	in	ADP
cana-2535	59	54	g.	g.	PROPN
cana-2535	59	55	definition	definition	NOUN
cana-2535	59	56	2.11	2.11	NUM
cana-2535	59	57	an	an	DET
cana-2535	59	58	arc	arc	NOUN
cana-2535	59	59	(	(	PUNCT
cana-2535	59	60	u	u	NOUN
cana-2535	59	61	,	,	PUNCT
cana-2535	59	62	v	v	NOUN
cana-2535	59	63	)	)	PUNCT
cana-2535	59	64	is	be	AUX
cana-2535	59	65	said	say	VERB
cana-2535	59	66	to	to	PART
cana-2535	59	67	be	be	AUX
cana-2535	59	68	a	a	DET
cana-2535	59	69	strong	strong	ADJ
cana-2535	59	70	arc	arc	NOUN
cana-2535	59	71	if	if	SCONJ
cana-2535	59	72	μ	μ	PROPN
cana-2535	59	73	(	(	PUNCT
cana-2535	59	74	u	u	NOUN
cana-2535	59	75	,	,	PUNCT
cana-2535	59	76	v	v	NOUN
cana-2535	59	77	)	)	PUNCT
cana-2535	59	78	≥	≥	NOUN
cana-2535	59	79	μ∞(u	μ∞(u	NOUN
cana-2535	59	80	,	,	PUNCT
cana-2535	59	81	v	v	NOUN
cana-2535	59	82	)	)	PUNCT
cana-2535	59	83	.	.	PUNCT
cana-2535	60	1	if	if	SCONJ
cana-2535	60	2	μ	μ	PROPN
cana-2535	60	3	(	(	PUNCT
cana-2535	60	4	u	u	NOUN
cana-2535	60	5	,	,	PUNCT
cana-2535	60	6	v	v	NOUN
cana-2535	60	7	)	)	PUNCT
cana-2535	60	8	=	=	SYM
cana-2535	60	9	0	0	NUM
cana-2535	60	10	for	for	ADP
cana-2535	60	11	every	every	DET
cana-2535	60	12	v	v	NOUN
cana-2535	60	13	є	є	PROPN
cana-2535	60	14	v	v	NOUN
cana-2535	60	15	,	,	PUNCT
cana-2535	60	16	then	then	ADV
cana-2535	60	17	u	u	NOUN
cana-2535	60	18	is	be	AUX
cana-2535	60	19	called	call	VERB
cana-2535	60	20	as	as	ADP
cana-2535	60	21	an	an	DET
cana-2535	60	22	isolated	isolated	ADJ
cana-2535	60	23	node	node	NOUN
cana-2535	60	24	.	.	PUNCT
cana-2535	61	1	definition	definition	NOUN
cana-2535	61	2	2.12	2.12	NUM
cana-2535	61	3	a	a	DET
cana-2535	61	4	fuzzy	fuzzy	ADJ
cana-2535	61	5	digraph	digraph	NOUN
cana-2535	61	6	gd	gd	NOUN
cana-2535	61	7	=	=	PUNCT
cana-2535	61	8	(	(	PUNCT
cana-2535	61	9	σd	σd	PROPN
cana-2535	61	10	,	,	PUNCT
cana-2535	61	11	μd	μd	AUX
cana-2535	61	12	)	)	PUNCT
cana-2535	61	13	is	be	AUX
cana-2535	61	14	a	a	DET
cana-2535	61	15	pair	pair	NOUN
cana-2535	61	16	of	of	ADP
cana-2535	61	17	two	two	NUM
cana-2535	61	18	functions	function	NOUN
cana-2535	61	19	σd	σd	PRON
cana-2535	61	20	:	:	PUNCT
cana-2535	61	21	v→	v→	X
cana-2535	62	1	[	[	X
cana-2535	62	2	0,1	0,1	X
cana-2535	62	3	]	]	PUNCT
cana-2535	62	4	and	and	CCONJ
cana-2535	62	5	μd	μd	INTJ
cana-2535	62	6	:	:	PUNCT
cana-2535	62	7	a	a	DET
cana-2535	62	8	→[0,1	→[0,1	NOUN
cana-2535	62	9	]	]	PUNCT
cana-2535	62	10	such	such	ADJ
cana-2535	62	11	that	that	SCONJ
cana-2535	62	12	μd	μd	PROPN
cana-2535	62	13	(	(	PUNCT
cana-2535	62	14	x	x	PROPN
cana-2535	62	15	,	,	PUNCT
cana-2535	62	16	y	y	NOUN
cana-2535	62	17	)	)	PUNCT
cana-2535	62	18	≤	≤	NOUN
cana-2535	62	19	σd(x	σd(x	PUNCT
cana-2535	62	20	)	)	PUNCT
cana-2535	63	1	λ	λ	INTJ
cana-2535	63	2	σd	σd	INTJ
cana-2535	63	3	(	(	PUNCT
cana-2535	63	4	y	y	NOUN
cana-2535	63	5	)	)	PUNCT
cana-2535	63	6	for	for	ADP
cana-2535	63	7	all	all	DET
cana-2535	63	8	x	x	NOUN
cana-2535	63	9	,	,	PUNCT
cana-2535	63	10	y	y	PROPN
cana-2535	63	11	є	є	PROPN
cana-2535	63	12	v.	v.	ADP
cana-2535	63	13	definition	definition	NOUN
cana-2535	63	14	2.13	2.13	NUM
cana-2535	63	15	an	an	DET
cana-2535	63	16	arc	arc	NOUN
cana-2535	63	17	(	(	PUNCT
cana-2535	63	18	x	x	NOUN
cana-2535	63	19	,	,	PUNCT
cana-2535	63	20	y	y	NOUN
cana-2535	63	21	)	)	PUNCT
cana-2535	63	22	of	of	ADP
cana-2535	63	23	a	a	DET
cana-2535	63	24	fuzzy	fuzzy	ADJ
cana-2535	63	25	digraph	digraph	NOUN
cana-2535	63	26	is	be	AUX
cana-2535	63	27	called	call	VERB
cana-2535	63	28	an	an	DET
cana-2535	63	29	effective	effective	ADJ
cana-2535	63	30	arc	arc	NOUN
cana-2535	63	31	if	if	SCONJ
cana-2535	63	32	μd	μd	PROPN
cana-2535	63	33	(	(	PUNCT
cana-2535	63	34	x	x	PROPN
cana-2535	63	35	,	,	PUNCT
cana-2535	63	36	y	y	NOUN
cana-2535	63	37	)	)	PUNCT
cana-2535	63	38	=	=	NOUN
cana-2535	63	39	σd(x	σd(x	X
cana-2535	63	40	)	)	PUNCT
cana-2535	64	1	λ	λ	INTJ
cana-2535	64	2	σd	σd	INTJ
cana-2535	64	3	(	(	PUNCT
cana-2535	64	4	y	y	NOUN
cana-2535	64	5	)	)	PUNCT
cana-2535	64	6	.	.	PUNCT
cana-2535	65	1	definition	definition	NOUN
cana-2535	65	2	2.14	2.14	NUM
cana-2535	65	3	an	an	DET
cana-2535	65	4	arc	arc	NOUN
cana-2535	65	5	(	(	PUNCT
cana-2535	65	6	u	u	NOUN
cana-2535	65	7	,	,	PUNCT
cana-2535	65	8	v	v	NOUN
cana-2535	65	9	)	)	PUNCT
cana-2535	65	10	is	be	AUX
cana-2535	65	11	said	say	VERB
cana-2535	65	12	to	to	PART
cana-2535	65	13	be	be	AUX
cana-2535	65	14	a	a	DET
cana-2535	65	15	strong	strong	ADJ
cana-2535	65	16	arc	arc	NOUN
cana-2535	65	17	or	or	CCONJ
cana-2535	65	18	strong	strong	ADJ
cana-2535	65	19	edge	edge	NOUN
cana-2535	65	20	of	of	ADP
cana-2535	65	21	a	a	DET
cana-2535	65	22	fuzzy	fuzzy	ADJ
cana-2535	65	23	digraph	digraph	NOUN
cana-2535	65	24	if	if	SCONJ
cana-2535	65	25	μd	μd	PROPN
cana-2535	65	26	(	(	PUNCT
cana-2535	65	27	u	u	NOUN
cana-2535	65	28	,	,	PUNCT
cana-2535	65	29	v	v	NOUN
cana-2535	65	30	)	)	PUNCT
cana-2535	65	31	≥	≥	NOUN
cana-2535	65	32	μd	μd	ADP
cana-2535	65	33	∞(u	∞(u	PROPN
cana-2535	65	34	,	,	PUNCT
cana-2535	65	35	v	v	NOUN
cana-2535	65	36	)	)	PUNCT
cana-2535	65	37	and	and	CCONJ
cana-2535	65	38	node	node	NOUN
cana-2535	65	39	v	v	NOUN
cana-2535	65	40	is	be	AUX
cana-2535	65	41	said	say	VERB
cana-2535	65	42	to	to	PART
cana-2535	65	43	be	be	AUX
cana-2535	65	44	a	a	DET
cana-2535	65	45	strong	strong	ADJ
cana-2535	65	46	neighbour	neighbour	NOUN
cana-2535	65	47	of	of	ADP
cana-2535	65	48	u.	u.	PROPN
cana-2535	65	49	definition	definition	NOUN
cana-2535	65	50	2.15	2.15	NUM
cana-2535	65	51	let	let	VERB
cana-2535	65	52	x	x	PRON
cana-2535	65	53	,	,	PUNCT
cana-2535	65	54	y	y	PROPN
cana-2535	65	55	є	є	PROPN
cana-2535	65	56	v.	v.	ADP
cana-2535	65	57	the	the	DET
cana-2535	65	58	vertex	vertex	NOUN
cana-2535	65	59	σd(x	σd(x	PUNCT
cana-2535	65	60	)	)	PUNCT
cana-2535	65	61	dominates	dominate	VERB
cana-2535	65	62	σd(y	σd(y	PUNCT
cana-2535	65	63	)	)	PUNCT
cana-2535	65	64	in	in	ADP
cana-2535	65	65	a	a	DET
cana-2535	65	66	fuzzy	fuzzy	ADJ
cana-2535	65	67	digraph	digraph	NOUN
cana-2535	65	68	gd	gd	NOUN
cana-2535	65	69	if	if	SCONJ
cana-2535	65	70	μd(x	μd(x	X
cana-2535	65	71	,	,	PUNCT
cana-2535	65	72	y	y	NOUN
cana-2535	65	73	)	)	PUNCT
cana-2535	65	74	is	be	AUX
cana-2535	65	75	a	a	DET
cana-2535	65	76	strong	strong	ADJ
cana-2535	65	77	arc	arc	NOUN
cana-2535	65	78	.	.	PUNCT
cana-2535	66	1	communications	communication	NOUN
cana-2535	66	2	on	on	ADP
cana-2535	66	3	applied	apply	VERB
cana-2535	66	4	nonlinear	nonlinear	ADJ
cana-2535	66	5	analysis	analysis	NOUN
cana-2535	66	6	issn	issn	NOUN
cana-2535	66	7	:	:	PUNCT
cana-2535	66	8	1074	1074	NUM
cana-2535	66	9	-	-	PUNCT
cana-2535	66	10	133x	133x	NUM
cana-2535	66	11	vol	vol	NOUN
cana-2535	66	12	32	32	NUM
cana-2535	66	13	no	no	NOUN
cana-2535	66	14	.	.	PUNCT
cana-2535	67	1	3s	3s	NUM
cana-2535	67	2	(	(	PUNCT
cana-2535	67	3	2025	2025	NUM
cana-2535	67	4	)	)	PUNCT
cana-2535	67	5	63	63	NUM
cana-2535	67	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2535	67	7	definition	definition	NOUN
cana-2535	67	8	2.16	2.16	NUM
cana-2535	67	9	a	a	DET
cana-2535	67	10	subset	subset	NOUN
cana-2535	67	11	d	d	NOUN
cana-2535	67	12	of	of	ADP
cana-2535	67	13	v	v	NOUN
cana-2535	67	14	is	be	AUX
cana-2535	67	15	a	a	DET
cana-2535	67	16	fuzzy	fuzzy	ADJ
cana-2535	67	17	dominating	dominating	NOUN
cana-2535	67	18	set	set	NOUN
cana-2535	67	19	of	of	ADP
cana-2535	67	20	gd	gd	PRON
cana-2535	67	21	if	if	SCONJ
cana-2535	67	22	every	every	DET
cana-2535	67	23	node	node	NOUN
cana-2535	67	24	σd	σd	INTJ
cana-2535	67	25	(	(	PUNCT
cana-2535	67	26	v	v	NOUN
cana-2535	67	27	)	)	PUNCT
cana-2535	67	28	є	є	PRON
cana-2535	67	29	v	v	NOUN
cana-2535	67	30	-	-	PUNCT
cana-2535	67	31	d	d	NOUN
cana-2535	67	32	is	be	AUX
cana-2535	67	33	dominated	dominate	VERB
cana-2535	67	34	by	by	ADP
cana-2535	67	35	atleast	atleast	ADJ
cana-2535	67	36	one	one	NUM
cana-2535	67	37	node	node	PROPN
cana-2535	67	38	σ	σ	PROPN
cana-2535	67	39	d(u	d(u	PROPN
cana-2535	67	40	)	)	PUNCT
cana-2535	68	1	є	є	ADP
cana-2535	68	2	d.	d.	PROPN
cana-2535	68	3	definition	definition	NOUN
cana-2535	68	4	2.17	2.17	NUM
cana-2535	68	5	the	the	DET
cana-2535	68	6	fuzzy	fuzzy	ADJ
cana-2535	68	7	domination	domination	NOUN
cana-2535	68	8	number	number	NOUN
cana-2535	68	9	γf	γf	PROPN
cana-2535	68	10	(	(	PUNCT
cana-2535	68	11	gd	gd	NOUN
cana-2535	68	12	)	)	PUNCT
cana-2535	68	13	of	of	ADP
cana-2535	68	14	a	a	DET
cana-2535	68	15	fuzzy	fuzzy	ADJ
cana-2535	68	16	digraph	digraph	NOUN
cana-2535	68	17	is	be	AUX
cana-2535	68	18	the	the	DET
cana-2535	68	19	minimum	minimum	ADJ
cana-2535	68	20	cardinality	cardinality	NOUN
cana-2535	68	21	of	of	ADP
cana-2535	68	22	a	a	DET
cana-2535	68	23	fuzzy	fuzzy	ADJ
cana-2535	68	24	dominating	dominating	NOUN
cana-2535	68	25	set	set	NOUN
cana-2535	68	26	in	in	ADP
cana-2535	68	27	gd	gd	PROPN
cana-2535	68	28	.	.	PUNCT
cana-2535	69	1	definition	definition	NOUN
cana-2535	69	2	2.18	2.18	NUM
cana-2535	69	3	in	in	ADP
cana-2535	69	4	fuzzy	fuzzy	ADJ
cana-2535	69	5	digraph	digraph	NOUN
cana-2535	69	6	,	,	PUNCT
cana-2535	69	7	an	an	DET
cana-2535	69	8	isolated	isolated	ADJ
cana-2535	69	9	vertex	vertex	NOUN
cana-2535	69	10	refers	refer	VERB
cana-2535	69	11	to	to	ADP
cana-2535	69	12	a	a	DET
cana-2535	69	13	vertex	vertex	NOUN
cana-2535	69	14	that	that	PRON
cana-2535	69	15	has	have	VERB
cana-2535	69	16	no	no	DET
cana-2535	69	17	incoming	incoming	ADJ
cana-2535	69	18	and	and	CCONJ
cana-2535	69	19	outgoing	outgoing	ADJ
cana-2535	69	20	edges	edge	NOUN
cana-2535	69	21	,	,	PUNCT
cana-2535	69	22	meaning	mean	VERB
cana-2535	69	23	that	that	SCONJ
cana-2535	69	24	its	its	PRON
cana-2535	69	25	membership	membership	NOUN
cana-2535	69	26	degree	degree	NOUN
cana-2535	69	27	in	in	ADP
cana-2535	69	28	any	any	DET
cana-2535	69	29	relation	relation	NOUN
cana-2535	69	30	or	or	CCONJ
cana-2535	69	31	connection	connection	NOUN
cana-2535	69	32	to	to	ADP
cana-2535	69	33	other	other	ADJ
cana-2535	69	34	vertices	vertex	NOUN
cana-2535	69	35	is	be	AUX
cana-2535	69	36	zero	zero	NUM
cana-2535	69	37	.	.	PUNCT
cana-2535	70	1	2	2	NUM
cana-2535	70	2	.	.	NOUN
cana-2535	70	3	accurate	accurate	ADJ
cana-2535	70	4	domination	domination	NOUN
cana-2535	70	5	in	in	ADP
cana-2535	70	6	fuzzy	fuzzy	ADJ
cana-2535	70	7	digraphs	digraph	NOUN
cana-2535	70	8	in	in	ADP
cana-2535	70	9	this	this	DET
cana-2535	70	10	section	section	NOUN
cana-2535	70	11	we	we	PRON
cana-2535	70	12	define	define	VERB
cana-2535	70	13	accurate	accurate	ADJ
cana-2535	70	14	dominating	dominating	NOUN
cana-2535	70	15	set	set	VERB
cana-2535	70	16	and	and	CCONJ
cana-2535	70	17	accurate	accurate	ADJ
cana-2535	70	18	domination	domination	NOUN
cana-2535	70	19	number	number	NOUN
cana-2535	70	20	in	in	ADP
cana-2535	70	21	fuzzy	fuzzy	ADJ
cana-2535	70	22	digraphs	digraph	NOUN
cana-2535	70	23	using	use	VERB
cana-2535	70	24	strong	strong	ADJ
cana-2535	70	25	arc	arc	NOUN
cana-2535	70	26	with	with	ADP
cana-2535	70	27	suitable	suitable	ADJ
cana-2535	70	28	examples	example	NOUN
cana-2535	70	29	.	.	PUNCT
cana-2535	71	1	we	we	PRON
cana-2535	71	2	also	also	ADV
cana-2535	71	3	discuss	discuss	VERB
cana-2535	71	4	some	some	DET
cana-2535	71	5	results	result	NOUN
cana-2535	71	6	on	on	ADP
cana-2535	71	7	accurate	accurate	ADJ
cana-2535	71	8	dominating	dominating	NOUN
cana-2535	71	9	set	set	NOUN
cana-2535	71	10	of	of	ADP
cana-2535	71	11	a	a	DET
cana-2535	71	12	fuzzy	fuzzy	ADJ
cana-2535	71	13	digraph	digraph	NOUN
cana-2535	71	14	.	.	PUNCT
cana-2535	72	1	definition	definition	NOUN
cana-2535	72	2	3.1	3.1	NUM
cana-2535	72	3	a	a	DET
cana-2535	72	4	subset	subset	NOUN
cana-2535	72	5	d	d	NOUN
cana-2535	72	6	of	of	ADP
cana-2535	72	7	v	v	NOUN
cana-2535	72	8	is	be	AUX
cana-2535	72	9	an	an	DET
cana-2535	72	10	accurate	accurate	ADJ
cana-2535	72	11	fuzzy	fuzzy	ADJ
cana-2535	72	12	dominating	dominating	NOUN
cana-2535	72	13	set	set	NOUN
cana-2535	72	14	of	of	ADP
cana-2535	72	15	a	a	DET
cana-2535	72	16	fuzzy	fuzzy	ADJ
cana-2535	72	17	digraph	digraph	NOUN
cana-2535	72	18	gd	gd	NOUN
cana-2535	72	19	if	if	SCONJ
cana-2535	72	20	every	every	DET
cana-2535	72	21	node	node	NOUN
cana-2535	72	22	σd(v	σd(v	NOUN
cana-2535	72	23	)	)	PUNCT
cana-2535	72	24	єv	єv	NOUN
cana-2535	72	25	-	-	PUNCT
cana-2535	72	26	d	d	NOUN
cana-2535	72	27	is	be	AUX
cana-2535	72	28	not	not	PART
cana-2535	72	29	dominated	dominate	VERB
cana-2535	72	30	by	by	ADP
cana-2535	72	31	atleast	atleast	ADJ
cana-2535	72	32	one	one	NUM
cana-2535	72	33	node	node	NOUN
cana-2535	72	34	σd(u)єd	σd(u)єd	ADJ
cana-2535	72	35	with	with	ADP
cana-2535	72	36	same	same	ADJ
cana-2535	72	37	cardinality	cardinality	NOUN
cana-2535	72	38	|d|	|d|	PROPN
cana-2535	72	39	.	.	PUNCT
cana-2535	73	1	an	an	DET
cana-2535	73	2	accurate	accurate	ADJ
cana-2535	73	3	fuzzy	fuzzy	ADJ
cana-2535	73	4	domination	domination	NOUN
cana-2535	73	5	number	number	NOUN
cana-2535	73	6	γfa	γfa	NOUN
cana-2535	73	7	(	(	PUNCT
cana-2535	73	8	gd	gd	PROPN
cana-2535	73	9	)	)	PUNCT
cana-2535	73	10	of	of	ADP
cana-2535	73	11	a	a	DET
cana-2535	73	12	fuzzy	fuzzy	ADJ
cana-2535	73	13	digraph	digraph	NOUN
cana-2535	73	14	is	be	AUX
cana-2535	73	15	the	the	DET
cana-2535	73	16	minimum	minimum	ADJ
cana-2535	73	17	cardinality	cardinality	NOUN
cana-2535	73	18	of	of	ADP
cana-2535	73	19	an	an	DET
cana-2535	73	20	accurate	accurate	ADJ
cana-2535	73	21	fuzzy	fuzzy	ADJ
cana-2535	73	22	dominating	dominating	NOUN
cana-2535	73	23	set	set	VERB
cana-2535	73	24	in	in	ADP
cana-2535	73	25	gd	gd	PROPN
cana-2535	73	26	.	.	PUNCT
cana-2535	74	1	the	the	DET
cana-2535	74	2	upper	upper	ADJ
cana-2535	74	3	domination	domination	NOUN
cana-2535	74	4	number	number	NOUN
cana-2535	74	5	γfa	γfa	NOUN
cana-2535	74	6	(	(	PUNCT
cana-2535	74	7	gd	gd	NOUN
cana-2535	74	8	)	)	PUNCT
cana-2535	74	9	is	be	AUX
cana-2535	74	10	the	the	DET
cana-2535	74	11	maximum	maximum	ADJ
cana-2535	74	12	cardinality	cardinality	NOUN
cana-2535	74	13	of	of	ADP
cana-2535	74	14	an	an	DET
cana-2535	74	15	accurate	accurate	ADJ
cana-2535	74	16	dominating	dominating	NOUN
cana-2535	74	17	set	set	NOUN
cana-2535	74	18	.	.	PUNCT
cana-2535	75	1	example	example	NOUN
cana-2535	75	2	3.2	3.2	NUM
cana-2535	75	3	a(0.7	a(0.7	PROPN
cana-2535	75	4	)	)	PUNCT
cana-2535	75	5	0.2	0.2	NUM
cana-2535	75	6	b(0.5	b(0.5	PROPN
cana-2535	75	7	)	)	PUNCT
cana-2535	75	8	0.6	0.6	NUM
cana-2535	75	9	0.3	0.3	NUM
cana-2535	75	10	0.5	0.5	NUM
cana-2535	75	11	d(0.8	d(0.8	PROPN
cana-2535	75	12	)	)	PUNCT
cana-2535	75	13	0.4	0.4	NUM
cana-2535	75	14	c	c	NOUN
cana-2535	75	15	(	(	PUNCT
cana-2535	75	16	0.6	0.6	X
cana-2535	75	17	)	)	PUNCT
cana-2535	75	18	figure	figure	NOUN
cana-2535	75	19	1	1	NUM
cana-2535	75	20	d	d	NOUN
cana-2535	75	21	=	=	PUNCT
cana-2535	75	22	{	{	PUNCT
cana-2535	75	23	a	a	DET
cana-2535	75	24	,	,	PUNCT
cana-2535	75	25	c	c	NOUN
cana-2535	75	26	,	,	PUNCT
cana-2535	75	27	d	d	NOUN
cana-2535	75	28	}	}	PUNCT
cana-2535	75	29	is	be	AUX
cana-2535	75	30	an	an	DET
cana-2535	75	31	accurate	accurate	ADJ
cana-2535	75	32	dominating	dominating	NOUN
cana-2535	75	33	set	set	NOUN
cana-2535	75	34	,	,	PUNCT
cana-2535	75	35	since	since	SCONJ
cana-2535	75	36	v	v	NOUN
cana-2535	75	37	-	-	SYM
cana-2535	75	38	d	d	NOUN
cana-2535	75	39	is	be	AUX
cana-2535	75	40	not	not	PART
cana-2535	75	41	dominated	dominate	VERB
cana-2535	75	42	by	by	ADP
cana-2535	75	43	atleast	atleast	ADJ
cana-2535	75	44	one	one	NUM
cana-2535	75	45	node	node	NOUN
cana-2535	75	46	σd	σd	PRON
cana-2535	75	47	(	(	PUNCT
cana-2535	75	48	u	u	NOUN
cana-2535	75	49	)	)	PUNCT
cana-2535	75	50	є	є	ADP
cana-2535	76	1	d	d	NOUN
cana-2535	76	2	with	with	ADP
cana-2535	76	3	cardinality	cardinality	PROPN
cana-2535	76	4	|d|	|d|	PROPN
cana-2535	76	5	.	.	PUNCT
cana-2535	77	1	theorem	theorem	VERB
cana-2535	77	2	3.3	3.3	NUM
cana-2535	77	3	every	every	DET
cana-2535	77	4	accurate	accurate	ADJ
cana-2535	77	5	dominating	dominating	NOUN
cana-2535	77	6	set	set	NOUN
cana-2535	77	7	of	of	ADP
cana-2535	77	8	a	a	DET
cana-2535	77	9	fuzzy	fuzzy	ADJ
cana-2535	77	10	digraph	digraph	NOUN
cana-2535	77	11	is	be	AUX
cana-2535	77	12	a	a	DET
cana-2535	77	13	dominating	dominating	NOUN
cana-2535	77	14	set	set	NOUN
cana-2535	77	15	of	of	ADP
cana-2535	77	16	a	a	DET
cana-2535	77	17	fuzzy	fuzzy	ADJ
cana-2535	77	18	digraph	digraph	NOUN
cana-2535	77	19	.	.	PUNCT
cana-2535	78	1	proof	proof	NOUN
cana-2535	78	2	:	:	PUNCT
cana-2535	78	3	let	let	VERB
cana-2535	78	4	d	d	PRON
cana-2535	78	5	be	be	AUX
cana-2535	78	6	an	an	DET
cana-2535	78	7	accurate	accurate	ADJ
cana-2535	78	8	dominating	dominating	NOUN
cana-2535	78	9	set	set	NOUN
cana-2535	78	10	of	of	ADP
cana-2535	78	11	a	a	DET
cana-2535	78	12	fuzzy	fuzzy	ADJ
cana-2535	78	13	digraph	digraph	NOUN
cana-2535	78	14	.	.	PUNCT
cana-2535	79	1	by	by	ADP
cana-2535	79	2	definition	definition	NOUN
cana-2535	79	3	,	,	PUNCT
cana-2535	79	4	v	v	NOUN
cana-2535	79	5	-	-	PUNCT
cana-2535	79	6	d	d	NOUN
cana-2535	79	7	is	be	AUX
cana-2535	79	8	not	not	PART
cana-2535	79	9	dominated	dominate	VERB
cana-2535	79	10	by	by	ADP
cana-2535	79	11	atleast	atleast	ADJ
cana-2535	79	12	one	one	NUM
cana-2535	79	13	node	node	NOUN
cana-2535	79	14	in	in	ADP
cana-2535	79	15	d	d	PROPN
cana-2535	79	16	with	with	ADP
cana-2535	79	17	cardinality	cardinality	PROPN
cana-2535	79	18	|d|	|d|	PROPN
cana-2535	79	19	.	.	PUNCT
cana-2535	80	1	therefore	therefore	ADV
cana-2535	80	2	v	v	NOUN
cana-2535	80	3	-	-	PUNCT
cana-2535	80	4	d	d	NOUN
cana-2535	80	5	is	be	AUX
cana-2535	80	6	adjacent	adjacent	ADJ
cana-2535	80	7	to	to	PART
cana-2535	80	8	atleast	atleast	VERB
cana-2535	80	9	one	one	NUM
cana-2535	80	10	vertex	vertex	NOUN
cana-2535	80	11	in	in	ADP
cana-2535	80	12	d.	d.	PROPN
cana-2535	80	13	communications	communication	NOUN
cana-2535	80	14	on	on	ADP
cana-2535	80	15	applied	apply	VERB
cana-2535	80	16	nonlinear	nonlinear	ADJ
cana-2535	80	17	analysis	analysis	NOUN
cana-2535	80	18	issn	issn	NOUN
cana-2535	80	19	:	:	PUNCT
cana-2535	80	20	1074	1074	NUM
cana-2535	80	21	-	-	PUNCT
cana-2535	80	22	133x	133x	NUM
cana-2535	80	23	vol	vol	NOUN
cana-2535	80	24	32	32	NUM
cana-2535	80	25	no	no	NOUN
cana-2535	80	26	.	.	PUNCT
cana-2535	81	1	3s	3s	NUM
cana-2535	81	2	(	(	PUNCT
cana-2535	81	3	2025	2025	NUM
cana-2535	81	4	)	)	PUNCT
cana-2535	81	5	64	64	NUM
cana-2535	81	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2535	81	7	this	this	PRON
cana-2535	81	8	implies	imply	VERB
cana-2535	81	9	v	v	NOUN
cana-2535	81	10	-	-	SYM
cana-2535	81	11	d	d	NOUN
cana-2535	81	12	is	be	AUX
cana-2535	81	13	dominated	dominate	VERB
cana-2535	81	14	by	by	ADP
cana-2535	81	15	atleast	atleast	ADJ
cana-2535	81	16	one	one	NUM
cana-2535	81	17	node	node	NOUN
cana-2535	81	18	in	in	ADP
cana-2535	81	19	d.	d.	PROPN
cana-2535	81	20	hence	hence	ADV
cana-2535	81	21	d	d	PROPN
cana-2535	81	22	is	be	AUX
cana-2535	81	23	a	a	DET
cana-2535	81	24	dominating	dominating	NOUN
cana-2535	81	25	set	set	NOUN
cana-2535	81	26	of	of	ADP
cana-2535	81	27	fuzzy	fuzzy	ADJ
cana-2535	81	28	digraph	digraph	NOUN
cana-2535	81	29	.	.	PUNCT
cana-2535	82	1	theorem	theorem	VERB
cana-2535	82	2	3.4	3.4	NUM
cana-2535	82	3	for	for	ADP
cana-2535	82	4	any	any	DET
cana-2535	82	5	fuzzy	fuzzy	ADJ
cana-2535	82	6	digraph	digraph	NOUN
cana-2535	82	7	γf	γf	PROPN
cana-2535	82	8	(	(	PUNCT
cana-2535	82	9	gd	gd	NOUN
cana-2535	82	10	)	)	PUNCT
cana-2535	82	11	≤	≤	NOUN
cana-2535	82	12	γfa(gd	γfa(gd	VERB
cana-2535	82	13	)	)	PUNCT
cana-2535	82	14	proof	proof	NOUN
cana-2535	82	15	:	:	PUNCT
cana-2535	82	16	domination	domination	NOUN
cana-2535	82	17	number	number	NOUN
cana-2535	82	18	of	of	ADP
cana-2535	82	19	a	a	DET
cana-2535	82	20	fuzzy	fuzzy	ADJ
cana-2535	82	21	digraph	digraph	NOUN
cana-2535	82	22	is	be	AUX
cana-2535	82	23	a	a	DET
cana-2535	82	24	minimum	minimum	ADJ
cana-2535	82	25	cardinality	cardinality	NOUN
cana-2535	82	26	of	of	ADP
cana-2535	82	27	a	a	DET
cana-2535	82	28	fuzzy	fuzzy	ADJ
cana-2535	82	29	dominating	dominating	NOUN
cana-2535	82	30	set.for	set.for	ADP
cana-2535	82	31	any	any	DET
cana-2535	82	32	fuzzy	fuzzy	ADJ
cana-2535	82	33	digraph	digraph	NOUN
cana-2535	82	34	,	,	PUNCT
cana-2535	82	35	an	an	DET
cana-2535	82	36	accurate	accurate	ADJ
cana-2535	82	37	dominating	dominating	NOUN
cana-2535	82	38	set	set	NOUN
cana-2535	82	39	is	be	AUX
cana-2535	82	40	a	a	DET
cana-2535	82	41	dominating	dominating	NOUN
cana-2535	82	42	set	set	NOUN
cana-2535	82	43	of	of	ADP
cana-2535	82	44	a	a	DET
cana-2535	82	45	fuzzy	fuzzy	ADJ
cana-2535	82	46	digraph	digraph	NOUN
cana-2535	82	47	.	.	PUNCT
cana-2535	83	1	this	this	PRON
cana-2535	83	2	implies	imply	VERB
cana-2535	83	3	a	a	DET
cana-2535	83	4	minimum	minimum	ADJ
cana-2535	83	5	accurate	accurate	ADJ
cana-2535	83	6	dominating	dominating	NOUN
cana-2535	83	7	set	set	NOUN
cana-2535	83	8	is	be	AUX
cana-2535	83	9	also	also	ADV
cana-2535	83	10	a	a	DET
cana-2535	83	11	dominating	dominating	NOUN
cana-2535	83	12	set	set	NOUN
cana-2535	83	13	of	of	ADP
cana-2535	83	14	a	a	DET
cana-2535	83	15	fuzzy	fuzzy	ADJ
cana-2535	83	16	digraph	digraph	NOUN
cana-2535	83	17	.	.	PUNCT
cana-2535	84	1	thus	thus	ADV
cana-2535	84	2	γf	γf	PROPN
cana-2535	84	3	(	(	PUNCT
cana-2535	84	4	gd	gd	NOUN
cana-2535	84	5	)	)	PUNCT
cana-2535	84	6	≤	≤	NOUN
cana-2535	84	7	γfa(gd	γfa(gd	VERB
cana-2535	84	8	)	)	PUNCT
cana-2535	84	9	.	.	PUNCT
cana-2535	85	1	theorem	theorem	VERB
cana-2535	85	2	3.5	3.5	NUM
cana-2535	85	3	in	in	ADP
cana-2535	85	4	a	a	DET
cana-2535	85	5	fuzzy	fuzzy	ADJ
cana-2535	85	6	digraph	digraph	NOUN
cana-2535	85	7	,	,	PUNCT
cana-2535	85	8	if	if	SCONJ
cana-2535	85	9	there	there	PRON
cana-2535	85	10	exists	exist	VERB
cana-2535	85	11	an	an	DET
cana-2535	85	12	isolated	isolated	ADJ
cana-2535	85	13	vertex	vertex	NOUN
cana-2535	85	14	then	then	ADV
cana-2535	85	15	a	a	DET
cana-2535	85	16	minimal	minimal	ADJ
cana-2535	85	17	dominating	dominating	NOUN
cana-2535	85	18	set	set	NOUN
cana-2535	85	19	of	of	ADP
cana-2535	85	20	a	a	DET
cana-2535	85	21	fuzzy	fuzzy	ADJ
cana-2535	85	22	digraph	digraph	NOUN
cana-2535	85	23	is	be	AUX
cana-2535	85	24	an	an	DET
cana-2535	85	25	accurate	accurate	ADJ
cana-2535	85	26	dominating	dominating	NOUN
cana-2535	85	27	set	set	NOUN
cana-2535	85	28	of	of	ADP
cana-2535	85	29	a	a	DET
cana-2535	85	30	fuzzy	fuzzy	ADJ
cana-2535	85	31	digraph	digraph	NOUN
cana-2535	85	32	.	.	PUNCT
cana-2535	86	1	proof	proof	NOUN
cana-2535	86	2	:	:	PUNCT
cana-2535	86	3	assume	assume	VERB
cana-2535	86	4	that	that	SCONJ
cana-2535	86	5	d	d	NOUN
cana-2535	86	6	is	be	AUX
cana-2535	86	7	a	a	DET
cana-2535	86	8	dominating	dominating	NOUN
cana-2535	86	9	set	set	NOUN
cana-2535	86	10	of	of	ADP
cana-2535	86	11	a	a	DET
cana-2535	86	12	fuzzy	fuzzy	ADJ
cana-2535	86	13	digraph	digraph	NOUN
cana-2535	86	14	.	.	PUNCT
cana-2535	87	1	let	let	VERB
cana-2535	87	2	u	u	PRON
cana-2535	87	3	є	є	PRON
cana-2535	87	4	v	v	NOUN
cana-2535	87	5	be	be	AUX
cana-2535	87	6	an	an	DET
cana-2535	87	7	isolated	isolated	ADJ
cana-2535	87	8	vertex	vertex	NOUN
cana-2535	87	9	of	of	ADP
cana-2535	87	10	a	a	DET
cana-2535	87	11	fuzzy	fuzzy	ADJ
cana-2535	87	12	digraph	digraph	NOUN
cana-2535	87	13	which	which	PRON
cana-2535	87	14	has	have	VERB
cana-2535	87	15	no	no	DET
cana-2535	87	16	incoming	incoming	ADJ
cana-2535	87	17	and	and	CCONJ
cana-2535	87	18	outgoing	outgoing	ADJ
cana-2535	87	19	edges	edge	NOUN
cana-2535	87	20	.	.	PUNCT
cana-2535	88	1	this	this	PRON
cana-2535	88	2	means	mean	VERB
cana-2535	88	3	it	it	PRON
cana-2535	88	4	does	do	AUX
cana-2535	88	5	not	not	PART
cana-2535	88	6	dominate	dominate	VERB
cana-2535	88	7	or	or	CCONJ
cana-2535	88	8	dominated	dominate	VERB
cana-2535	88	9	by	by	ADP
cana-2535	88	10	any	any	DET
cana-2535	88	11	other	other	ADJ
cana-2535	88	12	vertices	vertex	NOUN
cana-2535	88	13	.	.	PUNCT
cana-2535	89	1	therefore	therefore	ADV
cana-2535	89	2	v	v	NOUN
cana-2535	89	3	-	-	PUNCT
cana-2535	89	4	d	d	NOUN
cana-2535	89	5	is	be	AUX
cana-2535	89	6	not	not	PART
cana-2535	89	7	dominated	dominate	VERB
cana-2535	89	8	by	by	ADP
cana-2535	89	9	u	u	NOUN
cana-2535	89	10	with	with	ADP
cana-2535	89	11	cardinality	cardinality	PROPN
cana-2535	89	12	|d|	|d|	PROPN
cana-2535	89	13	.	.	PUNCT
cana-2535	90	1	this	this	PRON
cana-2535	90	2	implies	imply	VERB
cana-2535	90	3	d	d	NOUN
cana-2535	90	4	is	be	AUX
cana-2535	90	5	an	an	DET
cana-2535	90	6	accurate	accurate	ADJ
cana-2535	90	7	dominating	dominating	NOUN
cana-2535	90	8	set	set	NOUN
cana-2535	90	9	of	of	ADP
cana-2535	90	10	a	a	DET
cana-2535	90	11	fuzzy	fuzzy	ADJ
cana-2535	90	12	digraph	digraph	NOUN
cana-2535	90	13	.	.	PUNCT
cana-2535	91	1	hence	hence	ADV
cana-2535	91	2	the	the	DET
cana-2535	91	3	result	result	NOUN
cana-2535	91	4	.	.	PUNCT
cana-2535	92	1	theorem	theorem	VERB
cana-2535	92	2	3.6	3.6	NUM
cana-2535	92	3	for	for	ADP
cana-2535	92	4	any	any	DET
cana-2535	92	5	fuzzy	fuzzy	ADJ
cana-2535	92	6	digraph	digraph	NOUN
cana-2535	92	7	,	,	PUNCT
cana-2535	92	8	if	if	SCONJ
cana-2535	92	9	d	d	NOUN
cana-2535	92	10	be	be	VERB
cana-2535	92	11	an	an	DET
cana-2535	92	12	accurate	accurate	ADJ
cana-2535	92	13	dominating	dominating	NOUN
cana-2535	92	14	set	set	NOUN
cana-2535	92	15	of	of	ADP
cana-2535	92	16	a	a	DET
cana-2535	92	17	fuzzy	fuzzy	ADJ
cana-2535	92	18	digraph	digraph	NOUN
cana-2535	92	19	then	then	ADV
cana-2535	92	20	v	v	NOUN
cana-2535	92	21	-	-	PUNCT
cana-2535	92	22	d	d	NOUN
cana-2535	92	23	is	be	AUX
cana-2535	92	24	need	need	AUX
cana-2535	92	25	not	not	PART
cana-2535	92	26	be	be	AUX
cana-2535	92	27	accurate	accurate	ADJ
cana-2535	92	28	dominating	dominating	NOUN
cana-2535	92	29	set	set	NOUN
cana-2535	92	30	of	of	ADP
cana-2535	92	31	a	a	DET
cana-2535	92	32	fuzzy	fuzzy	ADJ
cana-2535	92	33	digraph	digraph	NOUN
cana-2535	92	34	.	.	PUNCT
cana-2535	93	1	proof	proof	NOUN
cana-2535	93	2	:	:	PUNCT
cana-2535	93	3	let	let	VERB
cana-2535	93	4	gd	gd	PRON
cana-2535	93	5	be	be	AUX
cana-2535	93	6	a	a	DET
cana-2535	93	7	fuzzy	fuzzy	ADJ
cana-2535	93	8	digraph	digraph	NOUN
cana-2535	93	9	.	.	PUNCT
cana-2535	94	1	assume	assume	VERB
cana-2535	94	2	that	that	SCONJ
cana-2535	94	3	u	u	PROPN
cana-2535	94	4	є	є	PROPN
cana-2535	94	5	d	d	PROPN
cana-2535	94	6	ia	ia	PROPN
cana-2535	94	7	an	an	DET
cana-2535	94	8	accurate	accurate	ADJ
cana-2535	94	9	dominating	dominating	NOUN
cana-2535	94	10	set	set	NOUN
cana-2535	94	11	of	of	ADP
cana-2535	94	12	a	a	DET
cana-2535	94	13	fuzzy	fuzzy	ADJ
cana-2535	94	14	digraph	digraph	NOUN
cana-2535	94	15	.	.	PUNCT
cana-2535	95	1	then	then	ADV
cana-2535	95	2	v	v	NOUN
cana-2535	95	3	-	-	PUNCT
cana-2535	95	4	d	d	NOUN
cana-2535	95	5	is	be	AUX
cana-2535	95	6	not	not	PART
cana-2535	95	7	dominated	dominate	VERB
cana-2535	95	8	by	by	ADP
cana-2535	95	9	atleast	atleast	ADJ
cana-2535	95	10	one	one	NUM
cana-2535	95	11	vertex	vertex	NOUN
cana-2535	95	12	in	in	ADP
cana-2535	95	13	u	u	PROPN
cana-2535	95	14	є	є	PROPN
cana-2535	95	15	d	d	X
cana-2535	95	16	with	with	ADP
cana-2535	95	17	cardinality	cardinality	PROPN
cana-2535	95	18	|d|	|d|	PROPN
cana-2535	95	19	.	.	PUNCT
cana-2535	96	1	case	case	NOUN
cana-2535	96	2	(	(	PUNCT
cana-2535	96	3	i	i	NOUN
cana-2535	96	4	):	):	PUNCT
cana-2535	96	5	if	if	SCONJ
cana-2535	96	6	v	v	NOUN
cana-2535	96	7	-	-	PUNCT
cana-2535	96	8	d	d	NOUN
cana-2535	96	9	has	have	VERB
cana-2535	96	10	no	no	DET
cana-2535	96	11	strong	strong	ADJ
cana-2535	96	12	neighbour	neighbour	NOUN
cana-2535	96	13	then	then	ADV
cana-2535	96	14	v	v	NOUN
cana-2535	96	15	-	-	PUNCT
cana-2535	96	16	d	d	NOUN
cana-2535	96	17	can	can	AUX
cana-2535	96	18	not	not	PART
cana-2535	96	19	be	be	AUX
cana-2535	96	20	a	a	DET
cana-2535	96	21	dominating	dominating	NOUN
cana-2535	96	22	set	set	NOUN
cana-2535	96	23	of	of	ADP
cana-2535	96	24	a	a	DET
cana-2535	96	25	fuzzy	fuzzy	ADJ
cana-2535	96	26	digraph	digraph	NOUN
cana-2535	96	27	.	.	PUNCT
cana-2535	97	1	so	so	ADV
cana-2535	97	2	it	it	PRON
cana-2535	97	3	can	can	AUX
cana-2535	97	4	not	not	PART
cana-2535	97	5	be	be	AUX
cana-2535	97	6	an	an	DET
cana-2535	97	7	accurate	accurate	ADJ
cana-2535	97	8	dominating	dominating	NOUN
cana-2535	97	9	set	set	NOUN
cana-2535	97	10	of	of	ADP
cana-2535	97	11	a	a	DET
cana-2535	97	12	fuzzy	fuzzy	ADJ
cana-2535	97	13	digraph	digraph	NOUN
cana-2535	97	14	.	.	PUNCT
cana-2535	98	1	case	case	NOUN
cana-2535	98	2	(	(	PUNCT
cana-2535	98	3	ii	ii	NOUN
cana-2535	98	4	):	):	PUNCT
cana-2535	98	5	suppose	suppose	VERB
cana-2535	98	6	it	it	PRON
cana-2535	98	7	has	have	AUX
cana-2535	98	8	atleast	atleast	VERB
cana-2535	98	9	one	one	NUM
cana-2535	98	10	strong	strong	ADJ
cana-2535	98	11	neighbour	neighbour	NOUN
cana-2535	98	12	which	which	PRON
cana-2535	98	13	dominates	dominate	VERB
cana-2535	98	14	u	u	NOUN
cana-2535	98	15	,	,	PUNCT
cana-2535	98	16	then	then	ADV
cana-2535	98	17	v	v	NOUN
cana-2535	98	18	-	-	PUNCT
cana-2535	98	19	d	d	NOUN
cana-2535	98	20	is	be	AUX
cana-2535	98	21	a	a	DET
cana-2535	98	22	dominating	dominating	NOUN
cana-2535	98	23	set	set	NOUN
cana-2535	98	24	of	of	ADP
cana-2535	98	25	a	a	DET
cana-2535	98	26	fuzzy	fuzzy	ADJ
cana-2535	98	27	digraph	digraph	NOUN
cana-2535	98	28	and	and	CCONJ
cana-2535	98	29	we	we	PRON
cana-2535	98	30	have	have	VERB
cana-2535	98	31	|v	|v	VERB
cana-2535	98	32	-	-	PUNCT
cana-2535	98	33	d|	d|	ADJ
cana-2535	98	34	≠	≠	PROPN
cana-2535	98	35	|d|	|d|	PROPN
cana-2535	98	36	.	.	PUNCT
cana-2535	99	1	hence	hence	ADV
cana-2535	99	2	it	it	PRON
cana-2535	99	3	can	can	AUX
cana-2535	99	4	be	be	AUX
cana-2535	99	5	an	an	DET
cana-2535	99	6	accurate	accurate	ADJ
cana-2535	99	7	dominating	dominating	NOUN
cana-2535	99	8	set	set	NOUN
cana-2535	99	9	of	of	ADP
cana-2535	99	10	a	a	DET
cana-2535	99	11	fuzzy	fuzzy	ADJ
cana-2535	99	12	digraph	digraph	NOUN
cana-2535	99	13	.	.	PUNCT
cana-2535	100	1	communications	communication	NOUN
cana-2535	100	2	on	on	ADP
cana-2535	100	3	applied	apply	VERB
cana-2535	100	4	nonlinear	nonlinear	ADJ
cana-2535	100	5	analysis	analysis	NOUN
cana-2535	100	6	issn	issn	NOUN
cana-2535	100	7	:	:	PUNCT
cana-2535	100	8	1074	1074	NUM
cana-2535	100	9	-	-	PUNCT
cana-2535	100	10	133x	133x	NUM
cana-2535	100	11	vol	vol	NOUN
cana-2535	100	12	32	32	NUM
cana-2535	100	13	no	no	NOUN
cana-2535	100	14	.	.	PUNCT
cana-2535	101	1	3s	3s	NUM
cana-2535	101	2	(	(	PUNCT
cana-2535	101	3	2025	2025	NUM
cana-2535	101	4	)	)	PUNCT
cana-2535	101	5	65	65	NUM
cana-2535	101	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2535	101	7	4	4	NUM
cana-2535	101	8	.	.	PUNCT
cana-2535	101	9	folyd	folyd	PROPN
cana-2535	101	10	warshall	warshall	PROPN
cana-2535	101	11	’s	’s	PART
cana-2535	101	12	algorithm	algorithm	NOUN
cana-2535	101	13	for	for	ADP
cana-2535	101	14	fuzzy	fuzzy	ADJ
cana-2535	101	15	domination	domination	NOUN
cana-2535	101	16	this	this	DET
cana-2535	101	17	section	section	NOUN
cana-2535	101	18	presents	present	VERB
cana-2535	101	19	modified	modify	VERB
cana-2535	101	20	folyd	folyd	NOUN
cana-2535	101	21	warshall	warshall	PROPN
cana-2535	101	22	’s	’s	PART
cana-2535	101	23	algorithm	algorithm	NOUN
cana-2535	101	24	for	for	ADP
cana-2535	101	25	domination	domination	NOUN
cana-2535	101	26	in	in	ADP
cana-2535	101	27	fuzzy	fuzzy	ADJ
cana-2535	101	28	digraphs	digraph	NOUN
cana-2535	101	29	.	.	PUNCT
cana-2535	102	1	the	the	DET
cana-2535	102	2	folyd	folyd	PROPN
cana-2535	102	3	warshall	warshall	PROPN
cana-2535	102	4	’s	’s	PART
cana-2535	102	5	algorithm	algorithm	NOUN
cana-2535	102	6	for	for	ADP
cana-2535	102	7	fuzzy	fuzzy	ADJ
cana-2535	102	8	domination	domination	NOUN
cana-2535	102	9	is	be	AUX
cana-2535	102	10	a	a	DET
cana-2535	102	11	graph	graph	NOUN
cana-2535	102	12	analysis	analysis	NOUN
cana-2535	102	13	algorithm	algorithm	NOUN
cana-2535	102	14	that	that	PRON
cana-2535	102	15	can	can	AUX
cana-2535	102	16	be	be	AUX
cana-2535	102	17	used	use	VERB
cana-2535	102	18	to	to	PART
cana-2535	102	19	find	find	VERB
cana-2535	102	20	an	an	DET
cana-2535	102	21	accurate	accurate	ADJ
cana-2535	102	22	dominating	dominating	NOUN
cana-2535	102	23	set	set	NOUN
cana-2535	102	24	of	of	ADP
cana-2535	102	25	a	a	DET
cana-2535	102	26	fuzzy	fuzzy	ADJ
cana-2535	102	27	digraph	digraph	NOUN
cana-2535	102	28	.	.	PUNCT
cana-2535	103	1	we	we	PRON
cana-2535	103	2	discuss	discuss	VERB
cana-2535	103	3	this	this	DET
cana-2535	103	4	algorithm	algorithm	NOUN
cana-2535	103	5	with	with	ADP
cana-2535	103	6	suitable	suitable	ADJ
cana-2535	103	7	example	example	NOUN
cana-2535	103	8	.	.	PUNCT
cana-2535	104	1	4.1	4.1	NUM
cana-2535	104	2	algorithm	algorithm	NOUN
cana-2535	104	3	step	step	NOUN
cana-2535	104	4	1	1	NUM
cana-2535	104	5	:	:	PUNCT
cana-2535	104	6	let	let	VERB
cana-2535	104	7	us	we	PRON
cana-2535	104	8	fix	fix	VERB
cana-2535	104	9	the	the	DET
cana-2535	104	10	initial	initial	ADJ
cana-2535	104	11	matrix	matrix	NOUN
cana-2535	104	12	w0	w0	PROPN
cana-2535	104	13	through	through	ADP
cana-2535	104	14	arc	arc	NOUN
cana-2535	104	15	weight	weight	NOUN
cana-2535	104	16	.	.	PUNCT
cana-2535	105	1	step	step	NOUN
cana-2535	105	2	2	2	NUM
cana-2535	105	3	:	:	PUNCT
cana-2535	105	4	we	we	PRON
cana-2535	105	5	can	can	AUX
cana-2535	105	6	produce	produce	VERB
cana-2535	105	7	wk	wk	NOUN
cana-2535	105	8	from	from	ADP
cana-2535	105	9	wk-1	wk-1	NOUN
cana-2535	105	10	.	.	PUNCT
cana-2535	106	1	step	step	NOUN
cana-2535	106	2	3	3	NUM
cana-2535	106	3	:	:	PUNCT
cana-2535	106	4	list	list	VERB
cana-2535	106	5	the	the	DET
cana-2535	106	6	locations	location	NOUN
cana-2535	106	7	v1,v2	v1,v2	PROPN
cana-2535	106	8	,	,	PUNCT
cana-2535	106	9	…	…	PUNCT
cana-2535	106	10	..	..	PUNCT
cana-2535	106	11	in	in	ADP
cana-2535	106	12	column	column	NOUN
cana-2535	106	13	k	k	PROPN
cana-2535	106	14	of	of	ADP
cana-2535	106	15	wk-1	wk-1	NOUN
cana-2535	106	16	where	where	SCONJ
cana-2535	106	17	the	the	DET
cana-2535	106	18	entry	entry	NOUN
cana-2535	106	19	is	be	AUX
cana-2535	106	20	non	non	ADJ
cana-2535	106	21	zero	zero	NUM
cana-2535	106	22	and	and	CCONJ
cana-2535	106	23	the	the	DET
cana-2535	106	24	locations	location	NOUN
cana-2535	106	25	v1,v2,	v1,v2,	NOUN
cana-2535	106	26	…	…	PUNCT
cana-2535	106	27	in	in	ADP
cana-2535	106	28	row	row	NOUN
cana-2535	106	29	k	k	PROPN
cana-2535	106	30	of	of	ADP
cana-2535	106	31	wk-1	wk-1	NOUN
cana-2535	106	32	where	where	SCONJ
cana-2535	106	33	the	the	DET
cana-2535	106	34	entry	entry	NOUN
cana-2535	106	35	is	be	AUX
cana-2535	106	36	non	non	ADJ
cana-2535	106	37	zero	zero	NUM
cana-2535	106	38	.	.	PUNCT
cana-2535	107	1	step	step	NOUN
cana-2535	107	2	4	4	NUM
cana-2535	107	3	:	:	PUNCT
cana-2535	107	4	frame	frame	VERB
cana-2535	107	5	the	the	DET
cana-2535	107	6	possible	possible	ADJ
cana-2535	107	7	combinations	combination	NOUN
cana-2535	107	8	of	of	ADP
cana-2535	107	9	non	non	ADJ
cana-2535	107	10	zero	zero	NUM
cana-2535	107	11	elements	element	NOUN
cana-2535	107	12	of	of	ADP
cana-2535	107	13	column	column	NOUN
cana-2535	107	14	k	k	PROPN
cana-2535	107	15	with	with	ADP
cana-2535	107	16	non	non	ADJ
cana-2535	107	17	zero	zero	NUM
cana-2535	107	18	elements	element	NOUN
cana-2535	107	19	of	of	ADP
cana-2535	107	20	row	row	NOUN
cana-2535	107	21	k.	k.	PROPN
cana-2535	107	22	step	step	VERB
cana-2535	107	23	5	5	NUM
cana-2535	107	24	:	:	PUNCT
cana-2535	107	25	if	if	SCONJ
cana-2535	107	26	(	(	PUNCT
cana-2535	107	27	vi	vi	NOUN
cana-2535	107	28	,	,	PUNCT
cana-2535	107	29	vj	vj	NOUN
cana-2535	107	30	)	)	PUNCT
cana-2535	107	31	is	be	AUX
cana-2535	107	32	a	a	DET
cana-2535	107	33	strong	strong	ADJ
cana-2535	107	34	arc	arc	NOUN
cana-2535	108	1	and	and	CCONJ
cana-2535	108	2	i	i	PRON
cana-2535	108	3	=	=	SYM
cana-2535	108	4	j	j	PROPN
cana-2535	108	5	put	put	VERB
cana-2535	108	6	1	1	NUM
cana-2535	108	7	otherwise	otherwise	ADV
cana-2535	108	8	0	0	NUM
cana-2535	108	9	.	.	PUNCT
cana-2535	109	1	step	step	NOUN
cana-2535	109	2	6	6	NUM
cana-2535	109	3	:	:	PUNCT
cana-2535	109	4	proceed	proceed	VERB
cana-2535	109	5	till	till	SCONJ
cana-2535	109	6	wn	wn	PROPN
cana-2535	109	7	.	.	PROPN
cana-2535	109	8	step	step	NOUN
cana-2535	109	9	7	7	NUM
cana-2535	109	10	:	:	PUNCT
cana-2535	109	11	we	we	PRON
cana-2535	109	12	reach	reach	VERB
cana-2535	109	13	the	the	DET
cana-2535	109	14	row	row	NOUN
cana-2535	109	15	having	have	VERB
cana-2535	109	16	maximum	maximum	ADJ
cana-2535	109	17	number	number	NOUN
cana-2535	109	18	of	of	ADP
cana-2535	109	19	1	1	NUM
cana-2535	109	20	’s	’s	NOUN
cana-2535	109	21	which	which	PRON
cana-2535	109	22	is	be	AUX
cana-2535	109	23	a	a	DET
cana-2535	109	24	dominating	dominating	NOUN
cana-2535	109	25	set	set	NOUN
cana-2535	109	26	of	of	ADP
cana-2535	109	27	a	a	DET
cana-2535	109	28	fuzzy	fuzzy	ADJ
cana-2535	109	29	digraph	digraph	NOUN
cana-2535	109	30	.	.	PUNCT
cana-2535	110	1	step	step	NOUN
cana-2535	110	2	8	8	NUM
cana-2535	110	3	:	:	PUNCT
cana-2535	110	4	finally	finally	ADV
cana-2535	110	5	from	from	ADP
cana-2535	110	6	the	the	DET
cana-2535	110	7	dominating	dominating	NOUN
cana-2535	110	8	set	set	NOUN
cana-2535	110	9	of	of	ADP
cana-2535	110	10	a	a	DET
cana-2535	110	11	fuzzy	fuzzy	ADJ
cana-2535	110	12	digraph	digraph	NOUN
cana-2535	110	13	,	,	PUNCT
cana-2535	110	14	a	a	DET
cana-2535	110	15	vertex	vertex	NOUN
cana-2535	110	16	u	u	NOUN
cana-2535	110	17	є	є	PROPN
cana-2535	110	18	v	v	NOUN
cana-2535	110	19	-	-	PUNCT
cana-2535	110	20	d	d	NOUN
cana-2535	110	21	is	be	AUX
cana-2535	110	22	not	not	PART
cana-2535	110	23	dominated	dominate	VERB
cana-2535	110	24	by	by	ADP
cana-2535	110	25	atleast	atleast	ADJ
cana-2535	110	26	one	one	NUM
cana-2535	110	27	vertex	vertex	NOUN
cana-2535	110	28	in	in	ADP
cana-2535	110	29	d	d	PROPN
cana-2535	110	30	with	with	ADP
cana-2535	110	31	same	same	ADJ
cana-2535	110	32	cardinality	cardinality	NOUN
cana-2535	110	33	|d|	|d|	PROPN
cana-2535	110	34	is	be	AUX
cana-2535	110	35	called	call	VERB
cana-2535	110	36	as	as	ADP
cana-2535	110	37	an	an	DET
cana-2535	110	38	accurate	accurate	ADJ
cana-2535	110	39	dominating	dominating	NOUN
cana-2535	110	40	set	set	NOUN
cana-2535	110	41	of	of	ADP
cana-2535	110	42	a	a	DET
cana-2535	110	43	fuzzy	fuzzy	ADJ
cana-2535	110	44	digraph	digraph	NOUN
cana-2535	110	45	.	.	PUNCT
cana-2535	111	1	example	example	NOUN
cana-2535	111	2	4.2	4.2	NUM
cana-2535	111	3	x	x	SYM
cana-2535	111	4	(	(	PUNCT
cana-2535	111	5	0.2	0.2	NUM
cana-2535	111	6	)	)	PUNCT
cana-2535	111	7	0.1	0.1	NUM
cana-2535	111	8	y	y	PROPN
cana-2535	111	9	(	(	PUNCT
cana-2535	111	10	0.8	0.8	NUM
cana-2535	111	11	)	)	PUNCT
cana-2535	111	12	0.8	0.8	NUM
cana-2535	111	13	0.2	0.2	NUM
cana-2535	111	14	0.2	0.2	NUM
cana-2535	111	15	z(0.9	z(0.9	PROPN
cana-2535	111	16	)	)	PUNCT
cana-2535	111	17	s(0.3	s(0.3	PROPN
cana-2535	111	18	)	)	PUNCT
cana-2535	111	19	figure	figure	NOUN
cana-2535	111	20	2	2	NUM
cana-2535	111	21	consider	consider	VERB
cana-2535	111	22	the	the	DET
cana-2535	111	23	initial	initial	ADJ
cana-2535	111	24	matrix	matrix	NOUN
cana-2535	111	25	,	,	PUNCT
cana-2535	111	26	w0	w0	PROPN
cana-2535	111	27	=	=	PUNCT
cana-2535	111	28	x	x	PUNCT
cana-2535	111	29	y	y	PROPN
cana-2535	111	30	z	z	PROPN
cana-2535	111	31	s	s	X
cana-2535	111	32	[	[	PUNCT
cana-2535	111	33	0.2	0.2	NUM
cana-2535	111	34	0	0	NUM
cana-2535	111	35	0.2	0.2	NUM
cana-2535	111	36	0.2	0.2	NUM
cana-2535	111	37	0.1	0.1	NUM
cana-2535	111	38	0.8	0.8	NUM
cana-2535	111	39	0	0	NUM
cana-2535	111	40	0	0	NUM
cana-2535	111	41	0	0	NUM
cana-2535	111	42	0.8	0.8	NUM
cana-2535	111	43	0.9	0.9	NUM
cana-2535	111	44	0	0	NUM
cana-2535	111	45	0	0	NUM
cana-2535	111	46	0	0	NUM
cana-2535	111	47	0	0	NUM
cana-2535	111	48	0.3	0.3	NUM
cana-2535	111	49	]	]	PUNCT
cana-2535	111	50	x	x	PUNCT
cana-2535	111	51	y	y	PROPN
cana-2535	111	52	z	z	PROPN
cana-2535	111	53	s	s	PROPN
cana-2535	111	54	communications	communication	NOUN
cana-2535	111	55	on	on	ADP
cana-2535	111	56	applied	apply	VERB
cana-2535	111	57	nonlinear	nonlinear	ADJ
cana-2535	111	58	analysis	analysis	NOUN
cana-2535	111	59	issn	issn	NOUN
cana-2535	111	60	:	:	PUNCT
cana-2535	111	61	1074	1074	NUM
cana-2535	111	62	-	-	PUNCT
cana-2535	111	63	133x	133x	NUM
cana-2535	111	64	vol	vol	NOUN
cana-2535	111	65	32	32	NUM
cana-2535	112	1	no	no	NOUN
cana-2535	112	2	.	.	PUNCT
cana-2535	113	1	3s	3s	NUM
cana-2535	113	2	(	(	PUNCT
cana-2535	113	3	2025	2025	NUM
cana-2535	113	4	)	)	PUNCT
cana-2535	113	5	66	66	NUM
cana-2535	113	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2535	113	7	r(1	r(1	PROPN
cana-2535	113	8	)	)	PUNCT
cana-2535	114	1	=	=	PRON
cana-2535	114	2	{	{	PUNCT
cana-2535	114	3	(	(	PUNCT
cana-2535	114	4	x	x	X
cana-2535	114	5	,	,	PUNCT
cana-2535	114	6	x	x	NOUN
cana-2535	114	7	)	)	PUNCT
cana-2535	114	8	,	,	PUNCT
cana-2535	114	9	(	(	PUNCT
cana-2535	114	10	x	x	X
cana-2535	114	11	,	,	PUNCT
cana-2535	114	12	z	z	NOUN
cana-2535	114	13	)	)	PUNCT
cana-2535	114	14	,	,	PUNCT
cana-2535	114	15	(	(	PUNCT
cana-2535	114	16	x	x	X
cana-2535	114	17	,	,	PUNCT
cana-2535	114	18	s	s	PART
cana-2535	114	19	)	)	PUNCT
cana-2535	114	20	,	,	PUNCT
cana-2535	114	21	(	(	PUNCT
cana-2535	114	22	y	y	NOUN
cana-2535	114	23	,	,	PUNCT
cana-2535	114	24	x	x	NOUN
cana-2535	114	25	)	)	PUNCT
cana-2535	114	26	,	,	PUNCT
cana-2535	114	27	(	(	PUNCT
cana-2535	114	28	y	y	NOUN
cana-2535	114	29	,	,	PUNCT
cana-2535	114	30	z	z	NOUN
cana-2535	114	31	)	)	PUNCT
cana-2535	114	32	,	,	PUNCT
cana-2535	114	33	(	(	PUNCT
cana-2535	114	34	y	y	NOUN
cana-2535	114	35	,	,	PUNCT
cana-2535	114	36	s	s	PART
cana-2535	114	37	)	)	PUNCT
cana-2535	114	38	}	}	PUNCT
cana-2535	114	39	w1	w1	NOUN
cana-2535	114	40	=	=	PUNCT
cana-2535	115	1	x	x	PUNCT
cana-2535	115	2	y	y	PROPN
cana-2535	115	3	z	z	PROPN
cana-2535	115	4	s	s	X
cana-2535	115	5	[	[	PUNCT
cana-2535	115	6	1	1	NUM
cana-2535	115	7	0	0	NUM
cana-2535	115	8	1	1	NUM
cana-2535	115	9	0	0	NUM
cana-2535	115	10	0	0	NUM
cana-2535	115	11	0.8	0.8	NUM
cana-2535	115	12	0	0	NUM
cana-2535	115	13	0	0	NUM
cana-2535	115	14	0	0	NUM
cana-2535	115	15	0.8	0.8	NUM
cana-2535	115	16	0.9	0.9	NUM
cana-2535	115	17	0	0	NUM
cana-2535	115	18	0	0	NUM
cana-2535	115	19	0	0	NUM
cana-2535	115	20	0	0	NUM
cana-2535	115	21	0.3	0.3	NUM
cana-2535	115	22	]	]	PUNCT
cana-2535	115	23	r(2	r(2	PROPN
cana-2535	115	24	)	)	PUNCT
cana-2535	116	1	=	=	PRON
cana-2535	116	2	{	{	PUNCT
cana-2535	116	3	(	(	PUNCT
cana-2535	116	4	y	y	PROPN
cana-2535	116	5	,	,	PUNCT
cana-2535	116	6	y	y	PROPN
cana-2535	116	7	)	)	PUNCT
cana-2535	116	8	,	,	PUNCT
cana-2535	116	9	(	(	PUNCT
cana-2535	116	10	z	z	X
cana-2535	116	11	,	,	PUNCT
cana-2535	116	12	y	y	NOUN
cana-2535	116	13	)	)	PUNCT
cana-2535	116	14	}	}	PUNCT
cana-2535	116	15	w2	w2	NOUN
cana-2535	116	16	=	=	PUNCT
cana-2535	116	17	x	x	PUNCT
cana-2535	116	18	y	y	PROPN
cana-2535	116	19	z	z	PROPN
cana-2535	116	20	s	s	X
cana-2535	116	21	[	[	PUNCT
cana-2535	116	22	1	1	NUM
cana-2535	116	23	0	0	NUM
cana-2535	116	24	1	1	NUM
cana-2535	116	25	0	0	NUM
cana-2535	116	26	0	0	NUM
cana-2535	116	27	1	1	NUM
cana-2535	116	28	0	0	NUM
cana-2535	116	29	0	0	NUM
cana-2535	116	30	0	0	NUM
cana-2535	116	31	1	1	NUM
cana-2535	116	32	0.9	0.9	NUM
cana-2535	116	33	0	0	NUM
cana-2535	116	34	0	0	NUM
cana-2535	116	35	0	0	NUM
cana-2535	116	36	0	0	NUM
cana-2535	116	37	0.3	0.3	NUM
cana-2535	116	38	]	]	PUNCT
cana-2535	116	39	r(3	r(3	PROPN
cana-2535	116	40	)	)	PUNCT
cana-2535	116	41	=	=	PRON
cana-2535	116	42	{	{	PUNCT
cana-2535	116	43	(	(	PUNCT
cana-2535	116	44	x	x	X
cana-2535	116	45	,	,	PUNCT
cana-2535	116	46	y	y	PROPN
cana-2535	116	47	)	)	PUNCT
cana-2535	116	48	,	,	PUNCT
cana-2535	116	49	(	(	PUNCT
cana-2535	116	50	x	x	X
cana-2535	116	51	,	,	PUNCT
cana-2535	116	52	z	z	NOUN
cana-2535	116	53	)	)	PUNCT
cana-2535	116	54	,	,	PUNCT
cana-2535	116	55	(	(	PUNCT
cana-2535	116	56	z	z	X
cana-2535	116	57	,	,	PUNCT
cana-2535	116	58	y	y	PROPN
cana-2535	116	59	)	)	PUNCT
cana-2535	116	60	,	,	PUNCT
cana-2535	116	61	(	(	PUNCT
cana-2535	116	62	z	z	X
cana-2535	116	63	,	,	PUNCT
cana-2535	116	64	z	z	NOUN
cana-2535	116	65	)	)	PUNCT
cana-2535	116	66	}	}	PUNCT
cana-2535	116	67	w3	w3	NOUN
cana-2535	116	68	=	=	PUNCT
cana-2535	117	1	x	x	PUNCT
cana-2535	117	2	y	y	PROPN
cana-2535	117	3	z	z	PROPN
cana-2535	117	4	s	s	X
cana-2535	117	5	[	[	PUNCT
cana-2535	117	6	1	1	NUM
cana-2535	117	7	0	0	NUM
cana-2535	117	8	1	1	NUM
cana-2535	117	9	0	0	NUM
cana-2535	117	10	0	0	NUM
cana-2535	117	11	1	1	NUM
cana-2535	117	12	0	0	NUM
cana-2535	117	13	0	0	NUM
cana-2535	117	14	0	0	NUM
cana-2535	117	15	1	1	NUM
cana-2535	117	16	1	1	NUM
cana-2535	117	17	0	0	NUM
cana-2535	117	18	0	0	NUM
cana-2535	117	19	0	0	NUM
cana-2535	117	20	0	0	NUM
cana-2535	117	21	0.3	0.3	NUM
cana-2535	117	22	]	]	PUNCT
cana-2535	117	23	r(4	r(4	PROPN
cana-2535	117	24	)	)	PUNCT
cana-2535	117	25	=	=	PRON
cana-2535	117	26	{	{	PUNCT
cana-2535	117	27	(	(	PUNCT
cana-2535	117	28	s	s	X
cana-2535	117	29	,	,	PUNCT
cana-2535	117	30	s	s	NOUN
cana-2535	117	31	)	)	PUNCT
cana-2535	117	32	}	}	PUNCT
cana-2535	117	33	w4	w4	NOUN
cana-2535	117	34	=	=	SYM
cana-2535	117	35	x	x	PUNCT
cana-2535	118	1	y	y	PROPN
cana-2535	118	2	z	z	PROPN
cana-2535	118	3	s	s	X
cana-2535	118	4	[	[	PUNCT
cana-2535	118	5	1	1	NUM
cana-2535	118	6	0	0	NUM
cana-2535	118	7	1	1	NUM
cana-2535	118	8	0	0	NUM
cana-2535	118	9	0	0	NUM
cana-2535	118	10	1	1	NUM
cana-2535	118	11	0	0	NUM
cana-2535	118	12	0	0	NUM
cana-2535	118	13	0	0	NUM
cana-2535	118	14	1	1	NUM
cana-2535	118	15	1	1	NUM
cana-2535	118	16	0	0	NUM
cana-2535	118	17	0	0	NUM
cana-2535	118	18	0	0	NUM
cana-2535	118	19	0	0	NUM
cana-2535	118	20	1	1	NUM
cana-2535	118	21	]	]	PUNCT
cana-2535	119	1	d	d	NOUN
cana-2535	119	2	=	=	SYM
cana-2535	119	3	{	{	PUNCT
cana-2535	119	4	x	x	NOUN
cana-2535	119	5	,	,	PUNCT
cana-2535	119	6	z	z	NOUN
cana-2535	119	7	}	}	PUNCT
cana-2535	119	8	is	be	AUX
cana-2535	119	9	a	a	DET
cana-2535	119	10	dominating	dominating	NOUN
cana-2535	119	11	set	set	NOUN
cana-2535	119	12	of	of	ADP
cana-2535	119	13	a	a	DET
cana-2535	119	14	fuzzy	fuzzy	ADJ
cana-2535	119	15	digraph	digraph	NOUN
cana-2535	119	16	and	and	CCONJ
cana-2535	119	17	it	it	PRON
cana-2535	119	18	also	also	ADV
cana-2535	119	19	a	a	DET
cana-2535	119	20	accurate	accurate	ADJ
cana-2535	119	21	dominating	dominating	NOUN
cana-2535	119	22	set	set	NOUN
cana-2535	119	23	of	of	ADP
cana-2535	119	24	a	a	DET
cana-2535	119	25	fuzzy	fuzzy	ADJ
cana-2535	119	26	digraph	digraph	NOUN
cana-2535	119	27	.	.	PUNCT
cana-2535	120	1	5.conclusion	5.conclusion	NUM
cana-2535	120	2	in	in	ADP
cana-2535	120	3	this	this	DET
cana-2535	120	4	work	work	NOUN
cana-2535	120	5	,	,	PUNCT
cana-2535	120	6	we	we	PRON
cana-2535	120	7	have	have	AUX
cana-2535	120	8	introduced	introduce	VERB
cana-2535	120	9	the	the	DET
cana-2535	120	10	concept	concept	NOUN
cana-2535	120	11	of	of	ADP
cana-2535	120	12	accurate	accurate	ADJ
cana-2535	120	13	domination	domination	NOUN
cana-2535	120	14	and	and	CCONJ
cana-2535	120	15	accurate	accurate	ADJ
cana-2535	120	16	domination	domination	NOUN
cana-2535	120	17	number	number	NOUN
cana-2535	120	18	in	in	ADP
cana-2535	120	19	fuzzy	fuzzy	ADJ
cana-2535	120	20	digraphs	digraph	NOUN
cana-2535	120	21	using	use	VERB
cana-2535	120	22	strong	strong	ADJ
cana-2535	120	23	arc	arc	NOUN
cana-2535	120	24	.	.	PUNCT
cana-2535	121	1	some	some	DET
cana-2535	121	2	results	result	NOUN
cana-2535	121	3	on	on	ADP
cana-2535	121	4	accurate	accurate	ADJ
cana-2535	121	5	dominating	dominating	NOUN
cana-2535	121	6	set	set	NOUN
cana-2535	121	7	of	of	ADP
cana-2535	121	8	a	a	DET
cana-2535	121	9	fuzzy	fuzzy	ADJ
cana-2535	121	10	digraph	digraph	NOUN
cana-2535	121	11	are	be	AUX
cana-2535	121	12	discussed	discuss	VERB
cana-2535	121	13	.	.	PUNCT
cana-2535	122	1	also	also	ADV
cana-2535	122	2	,	,	PUNCT
cana-2535	122	3	we	we	PRON
cana-2535	122	4	found	find	VERB
cana-2535	122	5	modified	modified	ADJ
cana-2535	122	6	warshall	warshall	NOUN
cana-2535	122	7	’s	’s	PART
cana-2535	122	8	algorithm	algorithm	NOUN
cana-2535	122	9	for	for	ADP
cana-2535	122	10	fuzzy	fuzzy	ADJ
cana-2535	122	11	domination	domination	NOUN
cana-2535	122	12	to	to	PART
cana-2535	122	13	find	find	VERB
cana-2535	122	14	the	the	DET
cana-2535	122	15	accurate	accurate	ADJ
cana-2535	122	16	dominating	dominating	NOUN
cana-2535	122	17	set	set	NOUN
cana-2535	122	18	of	of	ADP
cana-2535	122	19	a	a	DET
cana-2535	122	20	fuzzy	fuzzy	ADJ
cana-2535	122	21	digraphs	digraph	NOUN
cana-2535	122	22	with	with	ADP
cana-2535	122	23	suitable	suitable	ADJ
cana-2535	122	24	example	example	NOUN
cana-2535	122	25	.	.	PUNCT
cana-2535	123	1	references	reference	NOUN
cana-2535	123	2	[	[	X
cana-2535	123	3	1	1	NUM
cana-2535	123	4	]	]	PUNCT
cana-2535	123	5	.	.	PUNCT
cana-2535	124	1	biggs	biggs	PROPN
cana-2535	124	2	,	,	PUNCT
cana-2535	124	3	n.	n.	PROPN
cana-2535	124	4	;	;	PUNCT
cana-2535	124	5	lloyd	lloyd	PROPN
cana-2535	124	6	,	,	PUNCT
cana-2535	124	7	e	e	PROPN
cana-2535	124	8	;	;	PUNCT
cana-2535	124	9	wilson	wilson	PROPN
cana-2535	124	10	,	,	PUNCT
cana-2535	124	11	r.	r.	PROPN
cana-2535	124	12	(	(	PUNCT
cana-2535	124	13	1986	1986	NUM
cana-2535	124	14	)	)	PUNCT
cana-2535	124	15	graph	graph	NOUN
cana-2535	124	16	theory	theory	NOUN
cana-2535	124	17	,	,	PUNCT
cana-2535	124	18	1736	1736	NUM
cana-2535	124	19	-	-	SYM
cana-2535	124	20	1936	1936	NUM
cana-2535	124	21	,	,	PUNCT
cana-2535	124	22	oxford	oxford	PROPN
cana-2535	124	23	university	university	PROPN
cana-2535	124	24	press	press	NOUN
cana-2535	124	25	.	.	PUNCT
cana-2535	125	1	[	[	X
cana-2535	125	2	2	2	NUM
cana-2535	125	3	]	]	PUNCT
cana-2535	125	4	.	.	PUNCT
cana-2535	126	1	o.ore	o.ore	NOUN
cana-2535	126	2	,	,	PUNCT
cana-2535	126	3	theory	theory	NOUN
cana-2535	126	4	of	of	ADP
cana-2535	126	5	graphs	graph	NOUN
cana-2535	126	6	,	,	PUNCT
cana-2535	126	7	amer	amer	PROPN
cana-2535	126	8	.math.soc.math	.math.soc.math	PUNCT
cana-2535	126	9	.	.	PUNCT
cana-2535	127	1	soc.colloq.publications	soc.colloq.publication	NOUN
cana-2535	127	2	,	,	PUNCT
cana-2535	127	3	vol.38,amer.math.soc.providence.ri,1962	vol.38,amer.math.soc.providence.ri,1962	NOUN
cana-2535	127	4	.	.	PUNCT
cana-2535	128	1	[	[	X
cana-2535	128	2	3	3	NUM
cana-2535	128	3	]	]	PUNCT
cana-2535	128	4	.	.	PUNCT
cana-2535	129	1	c.berge	c.berge	ADJ
cana-2535	129	2	,	,	PUNCT
cana-2535	129	3	graphs	graph	NOUN
cana-2535	129	4	and	and	CCONJ
cana-2535	129	5	hyper	hyper	ADJ
cana-2535	129	6	graphs	graph	NOUN
cana-2535	129	7	,	,	PUNCT
cana-2535	129	8	north	north	NOUN
cana-2535	129	9	holland	holland	PROPN
cana-2535	129	10	,	,	PUNCT
cana-2535	129	11	amsterdam	amsterdam	PROPN
cana-2535	129	12	,	,	PUNCT
cana-2535	129	13	1973	1973	NUM
cana-2535	129	14	.	.	PUNCT
cana-2535	130	1	[	[	X
cana-2535	130	2	4	4	NUM
cana-2535	130	3	]	]	PUNCT
cana-2535	130	4	.	.	PUNCT
cana-2535	131	1	cockayne	cockayne	PROPN
cana-2535	131	2	,	,	PUNCT
cana-2535	131	3	e.j	e.j	PROPN
cana-2535	131	4	.	.	PROPN
cana-2535	131	5	,and	,and	PUNCT
cana-2535	131	6	hedetniemi.s	hedetniemi.s	PROPN
cana-2535	131	7	.	.	PUNCT
cana-2535	131	8	,1977,towards	,1977,towards	PUNCT
cana-2535	131	9	a	a	DET
cana-2535	131	10	theory	theory	NOUN
cana-2535	131	11	of	of	ADP
cana-2535	131	12	dominatio	dominatio	NOUN
cana-2535	131	13	in	in	ADP
cana-2535	131	14	graphs	graph	NOUN
cana-2535	131	15	,	,	PUNCT
cana-2535	131	16	networks	network	NOUN
cana-2535	131	17	7,pp.247	7,pp.247	PROPN
cana-2535	131	18	-	-	SYM
cana-2535	131	19	261	261	NUM
cana-2535	131	20	.	.	PUNCT
cana-2535	132	1	[	[	X
cana-2535	132	2	5	5	NUM
cana-2535	132	3	]	]	PUNCT
cana-2535	132	4	.	.	PUNCT
cana-2535	132	5	v.r.kulli	v.r.kulli	NOUN
cana-2535	132	6	and	and	CCONJ
cana-2535	132	7	m.b.kattimani	m.b.kattimani	PROPN
cana-2535	132	8	,	,	PUNCT
cana-2535	132	9	accurate	accurate	ADJ
cana-2535	132	10	domination	domination	NOUN
cana-2535	132	11	in	in	ADP
cana-2535	132	12	graphs	graph	NOUN
cana-2535	132	13	,	,	PUNCT
cana-2535	132	14	in	in	ADP
cana-2535	132	15	advances	advance	NOUN
cana-2535	132	16	in	in	ADP
cana-2535	132	17	domination	domination	NOUN
cana-2535	132	18	theory	theory	NOUN
cana-2535	132	19	i	i	PRON
cana-2535	132	20	,	,	PUNCT
cana-2535	132	21	v.r.kulli	v.r.kulli	PROPN
cana-2535	132	22	ed	ed	PROPN
cana-2535	132	23	.	.	PROPN
cana-2535	132	24	,	,	PUNCT
cana-2535	132	25	vishwa	vishwa	PROPN
cana-2535	132	26	international	international	PROPN
cana-2535	132	27	publications	publication	NOUN
cana-2535	132	28	,	,	PUNCT
cana-2535	132	29	gulbarga	gulbarga	PROPN
cana-2535	132	30	,	,	PUNCT
cana-2535	132	31	india	india	PROPN
cana-2535	132	32	,	,	PUNCT
cana-2535	132	33	2012	2012	NUM
cana-2535	132	34	.	.	PUNCT
cana-2535	133	1	[	[	X
cana-2535	133	2	6	6	NUM
cana-2535	133	3	]	]	PUNCT
cana-2535	133	4	.	.	PUNCT
cana-2535	133	5	a.	a.	PROPN
cana-2535	133	6	nagoor	nagoor	PROPN
cana-2535	133	7	gani	gani	PROPN
cana-2535	133	8	and	and	CCONJ
cana-2535	133	9	v.t	v.t	PROPN
cana-2535	133	10	.	.	PROPN
cana-2535	133	11	chandrasekaran	chandrasekaran	VERB
cana-2535	133	12	,	,	PUNCT
cana-2535	133	13	a	a	DET
cana-2535	133	14	first	first	ADJ
cana-2535	133	15	look	look	NOUN
cana-2535	133	16	at	at	ADP
cana-2535	133	17	fuzzy	fuzzy	ADJ
cana-2535	133	18	graph	graph	NOUN
cana-2535	133	19	theory	theory	NOUN
cana-2535	133	20	,	,	PUNCT
cana-2535	133	21	allied	ally	VERB
cana-2535	133	22	publications	publication	NOUN
cana-2535	133	23	pvt.ltd	pvt.ltd	ADJ
cana-2535	133	24	,	,	PUNCT
cana-2535	133	25	(	(	PUNCT
cana-2535	133	26	2010	2010	NUM
cana-2535	133	27	)	)	PUNCT
cana-2535	133	28	.	.	PUNCT
cana-2535	134	1	[	[	X
cana-2535	134	2	7	7	NUM
cana-2535	134	3	]	]	PUNCT
cana-2535	134	4	.	.	PUNCT
cana-2535	135	1	g.	g.	PROPN
cana-2535	135	2	chartrand	chartrand	PROPN
cana-2535	135	3	,	,	PUNCT
cana-2535	135	4	p.zhang	p.zhang	PROPN
cana-2535	135	5	,	,	PUNCT
cana-2535	135	6	a	a	DET
cana-2535	135	7	first	first	ADJ
cana-2535	135	8	course	course	NOUN
cana-2535	135	9	in	in	ADP
cana-2535	135	10	graph	graph	NOUN
cana-2535	135	11	theory	theory	NOUN
cana-2535	135	12	,	,	PUNCT
cana-2535	135	13	dover	dover	PROPN
cana-2535	135	14	publications	publication	NOUN
cana-2535	135	15	,	,	PUNCT
cana-2535	135	16	newyork	newyork	NOUN
cana-2535	135	17	,	,	PUNCT
cana-2535	135	18	(	(	PUNCT
cana-2535	135	19	2012	2012	NUM
cana-2535	135	20	)	)	PUNCT
cana-2535	135	21	.	.	PUNCT
cana-2535	136	1	x	x	PUNCT
cana-2535	137	1	y	y	PROPN
cana-2535	137	2	z	z	PROPN
cana-2535	137	3	s	s	PART
cana-2535	137	4	x	x	X
cana-2535	137	5	y	y	PROPN
cana-2535	137	6	z	z	PROPN
cana-2535	137	7	s	s	PART
cana-2535	137	8	x	x	X
cana-2535	137	9	y	y	PROPN
cana-2535	137	10	z	z	PROPN
cana-2535	137	11	s	s	PART
cana-2535	137	12	x	x	X
cana-2535	137	13	y	y	PROPN
cana-2535	137	14	z	z	PROPN
cana-2535	137	15	s	s	PROPN
cana-2535	137	16	communications	communication	NOUN
cana-2535	137	17	on	on	ADP
cana-2535	137	18	applied	apply	VERB
cana-2535	137	19	nonlinear	nonlinear	ADJ
cana-2535	137	20	analysis	analysis	NOUN
cana-2535	137	21	issn	issn	NOUN
cana-2535	137	22	:	:	PUNCT
cana-2535	137	23	1074	1074	NUM
cana-2535	137	24	-	-	PUNCT
cana-2535	137	25	133x	133x	NUM
cana-2535	137	26	vol	vol	NOUN
cana-2535	137	27	32	32	NUM
cana-2535	137	28	no	no	NOUN
cana-2535	137	29	.	.	PUNCT
cana-2535	138	1	3s	3s	NUM
cana-2535	138	2	(	(	PUNCT
cana-2535	138	3	2025	2025	NUM
cana-2535	138	4	)	)	PUNCT
cana-2535	138	5	67	67	NUM
cana-2535	138	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2535	139	1	[	[	X
cana-2535	139	2	8	8	NUM
cana-2535	139	3	]	]	PUNCT
cana-2535	139	4	.	.	PUNCT
cana-2535	140	1	l.a	l.a	PROPN
cana-2535	140	2	.	.	PROPN
cana-2535	140	3	zadeh	zadeh	PROPN
cana-2535	140	4	,	,	PUNCT
cana-2535	140	5	fuzzy	fuzzy	ADJ
cana-2535	140	6	sets	set	NOUN
cana-2535	140	7	,	,	PUNCT
cana-2535	140	8	information	information	NOUN
cana-2535	140	9	and	and	CCONJ
cana-2535	140	10	control	control	NOUN
cana-2535	140	11	8	8	NUM
cana-2535	140	12	(	(	PUNCT
cana-2535	140	13	1965	1965	NUM
cana-2535	140	14	)	)	PUNCT
cana-2535	140	15	,	,	PUNCT
cana-2535	140	16	338	338	NUM
cana-2535	140	17	-	-	SYM
cana-2535	140	18	353	353	NUM
cana-2535	140	19	.	.	PUNCT
cana-2535	141	1	[	[	X
cana-2535	141	2	9	9	NUM
cana-2535	141	3	]	]	PUNCT
cana-2535	141	4	.	.	PUNCT
cana-2535	142	1	a.somasundaram	a.somasundaram	PROPN
cana-2535	142	2	and	and	CCONJ
cana-2535	142	3	s.somasundaram	s.somasundaram	NOUN
cana-2535	142	4	,	,	PUNCT
cana-2535	142	5	domination	domination	NOUN
cana-2535	142	6	in	in	ADP
cana-2535	142	7	fuzzy	fuzzy	ADJ
cana-2535	142	8	graphs	graph	NOUN
cana-2535	142	9	i	i	PRON
cana-2535	142	10	,	,	PUNCT
cana-2535	142	11	pattern	pattern	NOUN
cana-2535	142	12	recognition	recognition	NOUN
cana-2535	142	13	letters	letter	NOUN
cana-2535	142	14	19(9	19(9	NUM
cana-2535	142	15	)	)	PUNCT
cana-2535	142	16	(	(	PUNCT
cana-2535	142	17	1998	1998	NUM
cana-2535	142	18	)	)	PUNCT
cana-2535	142	19	,	,	PUNCT
cana-2535	142	20	787	787	NUM
cana-2535	142	21	-	-	SYM
cana-2535	142	22	791	791	NUM
cana-2535	142	23	.	.	PUNCT
cana-2535	143	1	[	[	X
cana-2535	143	2	10	10	NUM
cana-2535	143	3	]	]	PUNCT
cana-2535	143	4	.	.	PUNCT
cana-2535	144	1	a.nagoor	a.nagoor	ADV
cana-2535	144	2	gani	gani	PROPN
cana-2535	144	3	and	and	CCONJ
cana-2535	144	4	v.t.chandrasekaran	v.t.chandrasekaran	NOUN
cana-2535	144	5	,	,	PUNCT
cana-2535	144	6	domination	domination	NOUN
cana-2535	144	7	in	in	ADP
cana-2535	144	8	fuzzy	fuzzy	ADJ
cana-2535	144	9	graphs	graph	NOUN
cana-2535	144	10	,	,	PUNCT
cana-2535	144	11	adv.fuzzy	adv.fuzzy	X
cana-2535	144	12	sets	set	NOUN
cana-2535	144	13	and	and	CCONJ
cana-2535	144	14	systems	system	NOUN
cana-2535	144	15	1(1	1(1	NUM
cana-2535	144	16	)	)	PUNCT
cana-2535	144	17	(	(	PUNCT
cana-2535	144	18	2006),1726	2006),1726	X
cana-2535	144	19	.	.	PUNCT
cana-2535	145	1	[	[	X
cana-2535	145	2	11	11	NUM
cana-2535	145	3	]	]	PUNCT
cana-2535	145	4	.	.	PUNCT
cana-2535	146	1	nagoor	nagoor	PROPN
cana-2535	146	2	gani	gani	PROPN
cana-2535	146	3	,	,	PUNCT
cana-2535	146	4	a.	a.	NOUN
cana-2535	146	5	,	,	PUNCT
cana-2535	146	6	and	and	CCONJ
cana-2535	146	7	vadivel	vadivel	VERB
cana-2535	146	8	,	,	PUNCT
cana-2535	146	9	p.	p.	NOUN
cana-2535	146	10	,2009	,2009	PUNCT
cana-2535	146	11	contribution	contribution	NOUN
cana-2535	146	12	to	to	ADP
cana-2535	146	13	the	the	DET
cana-2535	146	14	theory	theory	NOUN
cana-2535	146	15	of	of	ADP
cana-2535	146	16	domination	domination	NOUN
cana-2535	146	17	,	,	PUNCT
cana-2535	146	18	independence	independence	NOUN
cana-2535	146	19	and	and	CCONJ
cana-2535	146	20	irredundance	irredundance	NOUN
cana-2535	146	21	in	in	ADP
cana-2535	146	22	fuzzy	fuzzy	ADJ
cana-2535	146	23	graphs	graph	NOUN
cana-2535	146	24	,	,	PUNCT
cana-2535	146	25	bulletin	bulletin	NOUN
cana-2535	146	26	of	of	ADP
cana-2535	146	27	pure	pure	ADJ
cana-2535	146	28	and	and	CCONJ
cana-2535	146	29	applied	applied	ADJ
cana-2535	146	30	sciences	science	NOUN
cana-2535	146	31	28e(2),pp	28e(2),pp	NUM
cana-2535	146	32	179	179	NUM
cana-2535	146	33	-	-	SYM
cana-2535	146	34	187	187	NUM
cana-2535	146	35	.	.	PUNCT
cana-2535	147	1	[	[	X
cana-2535	147	2	12	12	NUM
cana-2535	147	3	]	]	PUNCT
cana-2535	147	4	.	.	PUNCT
cana-2535	148	1	c.v.ponnayan	c.v.ponnayan	PROPN
cana-2535	148	2	and	and	CCONJ
cana-2535	148	3	a.selvam	a.selvam	ADJ
cana-2535	148	4	,	,	PUNCT
cana-2535	148	5	accurate	accurate	ADJ
cana-2535	148	6	domination	domination	NOUN
cana-2535	148	7	in	in	ADP
cana-2535	148	8	fuzzy	fuzzy	ADJ
cana-2535	148	9	graphs	graph	NOUN
cana-2535	148	10	using	use	VERB
cana-2535	148	11	strong	strong	ADJ
cana-2535	148	12	arc	arc	NOUN
cana-2535	148	13	,	,	PUNCT
cana-2535	148	14	materials	material	NOUN
cana-2535	148	15	today	today	NOUN
cana-2535	148	16	proceedings	proceeding	NOUN
cana-2535	148	17	volume	volume	VERB
cana-2535	148	18	37	37	NUM
cana-2535	148	19	,	,	PUNCT
cana-2535	148	20	(	(	PUNCT
cana-2535	148	21	2021	2021	NUM
cana-2535	148	22	)	)	PUNCT
cana-2535	148	23	.	.	PUNCT
cana-2535	149	1	[	[	X
cana-2535	149	2	13	13	NUM
cana-2535	149	3	]	]	PUNCT
cana-2535	149	4	.	.	PUNCT
cana-2535	150	1	g.nirmala	g.nirmala	PROPN
cana-2535	150	2	and	and	CCONJ
cana-2535	150	3	m.sheela	m.sheela	NOUN
cana-2535	150	4	,	,	PUNCT
cana-2535	150	5	domination	domination	NOUN
cana-2535	150	6	in	in	ADP
cana-2535	150	7	fuzzy	fuzzy	ADJ
cana-2535	150	8	digraph	digraph	NOUN
cana-2535	150	9	,	,	PUNCT
cana-2535	150	10	aryabhatta	aryabhatta	ADJ
cana-2535	150	11	journal	journal	NOUN
cana-2535	150	12	of	of	ADP
cana-2535	150	13	mathematics	mathematic	NOUN
cana-2535	150	14	and	and	CCONJ
cana-2535	150	15	informatics	informatic	NOUN
cana-2535	150	16	vol.5,(2013	vol.5,(2013	PUNCT
cana-2535	150	17	)	)	PUNCT
cana-2535	150	18	.	.	PUNCT
cana-2535	151	1	[	[	X
cana-2535	151	2	14	14	NUM
cana-2535	151	3	]	]	PUNCT
cana-2535	151	4	.	.	PUNCT
cana-2535	152	1	cormen	corman	NOUN
cana-2535	152	2	,	,	PUNCT
cana-2535	152	3	thomos	thomos	PROPN
cana-2535	152	4	h	h	NOUN
cana-2535	152	5	;	;	PUNCT
cana-2535	152	6	leiserson	leiserson	NOUN
cana-2535	152	7	,	,	PUNCT
cana-2535	152	8	charles	charles	PROPN
cana-2535	152	9	e	e	PROPN
cana-2535	152	10	;	;	PUNCT
cana-2535	152	11	rivest	riv	ADJ
cana-2535	152	12	,	,	PUNCT
cana-2535	152	13	ronald	ronald	PROPN
cana-2535	152	14	l.	l.	PROPN
cana-2535	152	15	(	(	PUNCT
cana-2535	152	16	1990	1990	NUM
cana-2535	152	17	)	)	PUNCT
cana-2535	152	18	,	,	PUNCT
cana-2535	152	19	introduction	introduction	NOUN
cana-2535	152	20	to	to	ADP
cana-2535	152	21	algorithms	algorithm	NOUN
cana-2535	152	22	,	,	PUNCT
cana-2535	152	23	mit	mit	VERB
cana-2535	152	24	press	press	NOUN
cana-2535	152	25	and	and	CCONJ
cana-2535	152	26	mcgrawhill	mcgrawhill	NOUN
cana-2535	152	27	.	.	PUNCT
cana-2535	153	1	[	[	X
cana-2535	153	2	15	15	NUM
cana-2535	153	3	]	]	PUNCT
cana-2535	153	4	.	.	PUNCT
cana-2535	154	1	enrico	enrico	PROPN
cana-2535	154	2	enriquez	enriquez	PROPN
cana-2535	154	3	,	,	PUNCT
cana-2535	154	4	grace	grace	PROPN
cana-2535	154	5	estrada	estrada	PROPN
cana-2535	154	6	,	,	PUNCT
cana-2535	154	7	carmelita	carmelita	PROPN
cana-2535	154	8	loquias	loquias	PROPN
cana-2535	154	9	,	,	PUNCT
cana-2535	154	10	reuella	reuella	PROPN
cana-2535	154	11	j	j	PROPN
cana-2535	154	12	bascalso	bascalso	PROPN
cana-2535	154	13	and	and	CCONJ
cana-2535	154	14	lanndon	lanndon	PROPN
cana-2535	154	15	ocampo	ocampo	PROPN
cana-2535	154	16	,	,	PUNCT
cana-2535	154	17	domination	domination	NOUN
cana-2535	154	18	in	in	ADP
cana-2535	154	19	fuzzy	fuzzy	ADJ
cana-2535	154	20	directed	direct	VERB
cana-2535	154	21	graphs	graph	NOUN
cana-2535	154	22	,	,	PUNCT
cana-2535	154	23	mdpi	mdpi	PROPN
cana-2535	154	24	vol.9	vol.9	PROPN
cana-2535	154	25	(	(	PUNCT
cana-2535	154	26	2021	2021	NUM
cana-2535	154	27	)	)	PUNCT
cana-2535	154	28	.	.	PUNCT
cana-2535	155	1	[	[	X
cana-2535	155	2	16	16	NUM
cana-2535	155	3	]	]	PUNCT
cana-2535	155	4	.	.	PUNCT
cana-2535	156	1	a.nagoor	a.nagoor	ADV
cana-2535	156	2	gani	gani	PROPN
cana-2535	156	3	and	and	CCONJ
cana-2535	156	4	a.arif	a.arif	PROPN
cana-2535	156	5	rahman	rahman	PROPN
cana-2535	156	6	,	,	PUNCT
cana-2535	156	7	accurate	accurate	ADJ
cana-2535	156	8	2	2	NUM
cana-2535	156	9	-	-	PUNCT
cana-2535	156	10	domination	domination	NOUN
cana-2535	156	11	in	in	ADP
cana-2535	156	12	fuzzy	fuzzy	ADJ
cana-2535	156	13	graphs	graph	NOUN
cana-2535	156	14	using	use	VERB
cana-2535	156	15	strong	strong	ADJ
cana-2535	156	16	arc	arc	NOUN
cana-2535	156	17	,	,	PUNCT
cana-2535	156	18	international	international	ADJ
cana-2535	156	19	journal	journal	NOUN
cana-2535	156	20	of	of	ADP
cana-2535	156	21	pure	pure	ADJ
cana-2535	156	22	and	and	CCONJ
cana-2535	156	23	applied	applied	ADJ
cana-2535	156	24	mathematics	mathematic	NOUN
cana-2535	156	25	,	,	PUNCT
cana-2535	156	26	volume	volume	NOUN
cana-2535	156	27	118	118	NUM
cana-2535	156	28	,	,	PUNCT
cana-2535	156	29	279	279	NUM
cana-2535	156	30	-	-	SYM
cana-2535	156	31	286	286	NUM
cana-2535	156	32	.	.	PUNCT