id	sid	tid	token	lemma	pos
cana-3834	1	1	communications	communication	NOUN
cana-3834	1	2	on	on	ADP
cana-3834	1	3	applied	apply	VERB
cana-3834	1	4	nonlinear	nonlinear	ADJ
cana-3834	1	5	analysis	analysis	NOUN
cana-3834	1	6	issn	issn	NOUN
cana-3834	1	7	:	:	PUNCT
cana-3834	1	8	1074	1074	NUM
cana-3834	1	9	-	-	PUNCT
cana-3834	1	10	133x	133x	NUM
cana-3834	1	11	vol	vol	NOUN
cana-3834	1	12	32	32	NUM
cana-3834	1	13	no	no	NOUN
cana-3834	1	14	.	.	PUNCT
cana-3834	2	1	9s	9s	NUM
cana-3834	2	2	(	(	PUNCT
cana-3834	2	3	2025	2025	NUM
cana-3834	2	4	)	)	PUNCT
cana-3834	2	5	18	18	NUM
cana-3834	2	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3834	2	7	point	point	NOUN
cana-3834	2	8	set	set	VERB
cana-3834	2	9	neutrosophic	neutrosophic	ADJ
cana-3834	2	10	domination	domination	NOUN
cana-3834	2	11	in	in	ADP
cana-3834	2	12	single	single	ADJ
cana-3834	2	13	valued	value	VERB
cana-3834	2	14	neutrosophic	neutrosophic	ADJ
cana-3834	2	15	graph	graph	NOUN
cana-3834	2	16	1r	1r	NUM
cana-3834	2	17	.	.	PUNCT
cana-3834	3	1	poornavalli	poornavalli	PROPN
cana-3834	3	2	,	,	PUNCT
cana-3834	3	3	2dr	2dr	ADJ
cana-3834	3	4	.	.	PUNCT
cana-3834	4	1	p.	p.	NOUN
cana-3834	4	2	solairani	solairani	PROPN
cana-3834	4	3	,	,	PUNCT
cana-3834	4	4	1research	1research	NUM
cana-3834	4	5	scholar	scholar	NOUN
cana-3834	4	6	,	,	PUNCT
cana-3834	4	7	department	department	NOUN
cana-3834	4	8	of	of	ADP
cana-3834	4	9	mathematics	mathematic	NOUN
cana-3834	4	10	,	,	PUNCT
cana-3834	4	11	r.v.s	r.v.s	ADJ
cana-3834	4	12	arts	art	NOUN
cana-3834	4	13	and	and	CCONJ
cana-3834	4	14	science	science	PROPN
cana-3834	4	15	college	college	PROPN
cana-3834	4	16	(	(	PUNCT
cana-3834	4	17	affiliated	affiliate	VERB
cana-3834	4	18	to	to	PART
cana-3834	4	19	bharathiyar	bharathiyar	VERB
cana-3834	4	20	university	university	PROPN
cana-3834	4	21	)	)	PUNCT
cana-3834	4	22	,	,	PUNCT
cana-3834	4	23	sulur	sulur	PROPN
cana-3834	4	24	,	,	PUNCT
cana-3834	4	25	coimbatore	coimbatore	PROPN
cana-3834	4	26	,	,	PUNCT
cana-3834	4	27	tamil	tamil	PROPN
cana-3834	4	28	nadu	nadu	PROPN
cana-3834	4	29	,	,	PUNCT
cana-3834	4	30	india	india	PROPN
cana-3834	4	31	.	.	PUNCT
cana-3834	5	1	e	e	X
cana-3834	5	2	-	-	NOUN
cana-3834	5	3	mail	mail	NOUN
cana-3834	5	4	:	:	PUNCT
cana-3834	5	5	poornavallir920@gmail.com	poornavallir920@gmail.com	X
cana-3834	5	6	.	.	PUNCT
cana-3834	6	1	2assitant	2assitant	NUM
cana-3834	6	2	professor	professor	NOUN
cana-3834	6	3	,	,	PUNCT
cana-3834	6	4	department	department	NOUN
cana-3834	6	5	of	of	ADP
cana-3834	6	6	mathematics	mathematic	NOUN
cana-3834	6	7	,	,	PUNCT
cana-3834	6	8	r.v.s	r.v.s	ADJ
cana-3834	6	9	arts	art	NOUN
cana-3834	6	10	and	and	CCONJ
cana-3834	6	11	science	science	PROPN
cana-3834	6	12	college	college	PROPN
cana-3834	6	13	(	(	PUNCT
cana-3834	6	14	affiliated	affiliate	VERB
cana-3834	6	15	to	to	PART
cana-3834	6	16	bharathiyar	bharathiyar	VERB
cana-3834	6	17	university	university	PROPN
cana-3834	6	18	)	)	PUNCT
cana-3834	6	19	,	,	PUNCT
cana-3834	6	20	sulur	sulur	PROPN
cana-3834	6	21	,	,	PUNCT
cana-3834	6	22	coimbatore	coimbatore	PROPN
cana-3834	6	23	,	,	PUNCT
cana-3834	6	24	tamil	tamil	PROPN
cana-3834	6	25	nadu	nadu	PROPN
cana-3834	6	26	,	,	PUNCT
cana-3834	6	27	india	india	PROPN
cana-3834	6	28	.	.	PUNCT
cana-3834	7	1	e	e	X
cana-3834	7	2	-	-	NOUN
cana-3834	7	3	mail	mail	NOUN
cana-3834	7	4	:	:	PUNCT
cana-3834	7	5	poornavallir920@gmail.com	poornavallir920@gmail.com	X
cana-3834	7	6	.	.	PUNCT
cana-3834	8	1	e	e	X
cana-3834	8	2	-	-	NOUN
cana-3834	8	3	mail	mail	NOUN
cana-3834	8	4	:	:	PUNCT
cana-3834	8	5	solairani@rvs.com	solairani@rvs.com	PROPN
cana-3834	8	6	article	article	NOUN
cana-3834	8	7	history	history	NOUN
cana-3834	8	8	:	:	PUNCT
cana-3834	8	9	received	receive	VERB
cana-3834	8	10	:	:	PUNCT
cana-3834	8	11	11	11	NUM
cana-3834	8	12	-	-	SYM
cana-3834	8	13	11	11	NUM
cana-3834	8	14	-	-	PUNCT
cana-3834	8	15	2024	2024	NUM
cana-3834	8	16	revised:24	revised:24	X
cana-3834	8	17	-	-	PUNCT
cana-3834	8	18	12	12	NUM
cana-3834	8	19	-	-	PUNCT
cana-3834	8	20	2024	2024	NUM
cana-3834	8	21	accepted:09	accepted:09	NOUN
cana-3834	8	22	-	-	PUNCT
cana-3834	8	23	01	01	NUM
cana-3834	8	24	-	-	PUNCT
cana-3834	8	25	2025	2025	NUM
cana-3834	8	26	abstract	abstract	NOUN
cana-3834	8	27	:	:	PUNCT
cana-3834	8	28	in	in	ADP
cana-3834	8	29	this	this	DET
cana-3834	8	30	paper	paper	NOUN
cana-3834	8	31	,	,	PUNCT
cana-3834	8	32	we	we	PRON
cana-3834	8	33	demonstrate	demonstrate	VERB
cana-3834	8	34	a	a	DET
cana-3834	8	35	concept	concept	NOUN
cana-3834	8	36	of	of	ADP
cana-3834	8	37	point	point	NOUN
cana-3834	8	38	set	set	VERB
cana-3834	8	39	neutro	neutro	NOUN
cana-3834	8	40	-	-	ADJ
cana-3834	8	41	sophic	sophic	ADJ
cana-3834	8	42	domination	domination	NOUN
cana-3834	8	43	,	,	PUNCT
cana-3834	8	44	2	2	NUM
cana-3834	8	45	-	-	PUNCT
cana-3834	8	46	point	point	NOUN
cana-3834	8	47	set	set	VERB
cana-3834	8	48	neutrosophic	neutrosophic	ADJ
cana-3834	8	49	domination	domination	NOUN
cana-3834	8	50	,	,	PUNCT
cana-3834	8	51	connected	connected	ADJ
cana-3834	8	52	point	point	NOUN
cana-3834	8	53	set	set	VERB
cana-3834	8	54	neutrosophic	neutrosophic	ADJ
cana-3834	8	55	domination	domination	NOUN
cana-3834	8	56	,	,	PUNCT
cana-3834	8	57	point	point	NOUN
cana-3834	8	58	set	set	VERB
cana-3834	8	59	tree	tree	NOUN
cana-3834	8	60	neutrosophic	neutrosophic	ADJ
cana-3834	8	61	domination	domination	NOUN
cana-3834	8	62	with	with	ADP
cana-3834	8	63	appropriate	appropriate	ADJ
cana-3834	8	64	example	example	NOUN
cana-3834	8	65	.	.	PUNCT
cana-3834	9	1	some	some	PRON
cana-3834	9	2	of	of	ADP
cana-3834	9	3	their	their	PRON
cana-3834	9	4	theoretical	theoretical	ADJ
cana-3834	9	5	properties	property	NOUN
cana-3834	9	6	are	be	AUX
cana-3834	9	7	investigates	investigate	NOUN
cana-3834	9	8	.	.	PUNCT
cana-3834	10	1	keywords	keyword	NOUN
cana-3834	10	2	:	:	PUNCT
cana-3834	10	3	neutrosophic	neutrosophic	ADJ
cana-3834	10	4	graph	graph	NOUN
cana-3834	10	5	,	,	PUNCT
cana-3834	10	6	dominance	dominance	NOUN
cana-3834	10	7	in	in	ADP
cana-3834	10	8	neutrosophic	neutrosophic	ADJ
cana-3834	10	9	graph	graph	NOUN
cana-3834	10	10	,	,	PUNCT
cana-3834	10	11	point	point	NOUN
cana-3834	10	12	set	set	VERB
cana-3834	10	13	neutrosophic	neutrosophic	ADJ
cana-3834	10	14	dominance	dominance	NOUN
cana-3834	10	15	,	,	PUNCT
cana-3834	10	16	point	point	NOUN
cana-3834	10	17	set	set	VERB
cana-3834	10	18	tree	tree	NOUN
cana-3834	10	19	neutrosophic	neutrosophic	ADJ
cana-3834	10	20	dominance	dominance	NOUN
cana-3834	10	21	,	,	PUNCT
cana-3834	10	22	connected	connected	ADJ
cana-3834	10	23	point	point	NOUN
cana-3834	10	24	set	set	VERB
cana-3834	10	25	neutrosophic	neutrosophic	ADJ
cana-3834	10	26	dominance	dominance	NOUN
cana-3834	10	27	.	.	PUNCT
cana-3834	11	1	1	1	X
cana-3834	11	2	.	.	X
cana-3834	11	3	introduction	introduction	NOUN
cana-3834	11	4	in	in	ADP
cana-3834	11	5	1965	1965	NUM
cana-3834	11	6	,	,	PUNCT
cana-3834	11	7	l.a	l.a	PROPN
cana-3834	11	8	.	.	PROPN
cana-3834	11	9	zadeh	zadeh	PROPN
cana-3834	12	1	[	[	X
cana-3834	12	2	21	21	NUM
cana-3834	12	3	]	]	PUNCT
cana-3834	12	4	gave	give	VERB
cana-3834	12	5	initial	initial	ADJ
cana-3834	12	6	proposal	proposal	NOUN
cana-3834	12	7	for	for	ADP
cana-3834	12	8	occurrence	occurrence	NOUN
cana-3834	12	9	of	of	ADP
cana-3834	12	10	uncertainty	uncertainty	NOUN
cana-3834	12	11	in	in	ADP
cana-3834	12	12	real	real	ADJ
cana-3834	12	13	life	life	NOUN
cana-3834	12	14	situation	situation	NOUN
cana-3834	12	15	of	of	ADP
cana-3834	12	16	mathematical	mathematical	ADJ
cana-3834	12	17	framework	framework	NOUN
cana-3834	12	18	.	.	PUNCT
cana-3834	13	1	rosenfeld	rosenfeld	PROPN
cana-3834	14	1	[	[	X
cana-3834	14	2	13	13	NUM
cana-3834	14	3	]	]	PUNCT
cana-3834	14	4	developed	develop	VERB
cana-3834	14	5	the	the	DET
cana-3834	14	6	idea	idea	NOUN
cana-3834	14	7	of	of	ADP
cana-3834	14	8	fuzzy	fuzzy	ADJ
cana-3834	14	9	networks	network	NOUN
cana-3834	14	10	with	with	ADP
cana-3834	14	11	membership	membership	NOUN
cana-3834	14	12	value	value	NOUN
cana-3834	14	13	in	in	ADP
cana-3834	14	14	[	[	X
cana-3834	14	15	0	0	NUM
cana-3834	14	16	,	,	PUNCT
cana-3834	14	17	1	1	NUM
cana-3834	14	18	]	]	PUNCT
cana-3834	14	19	after	after	ADP
cana-3834	14	20	noticed	notice	VERB
cana-3834	14	21	zadeh	zadeh	PROPN
cana-3834	14	22	fuzzy	fuzzy	ADJ
cana-3834	14	23	function	function	NOUN
cana-3834	14	24	on	on	ADP
cana-3834	14	25	fuzzy	fuzzy	ADJ
cana-3834	14	26	batches	batch	NOUN
cana-3834	14	27	.	.	PUNCT
cana-3834	15	1	idea	idea	NOUN
cana-3834	15	2	of	of	ADP
cana-3834	15	3	expanding	expand	VERB
cana-3834	15	4	fuzzy	fuzzy	ADJ
cana-3834	15	5	network	network	NOUN
cana-3834	15	6	to	to	ADP
cana-3834	15	7	intuition	intuition	NOUN
cana-3834	15	8	-	-	PUNCT
cana-3834	15	9	istic	istic	ADJ
cana-3834	15	10	fuzzy	fuzzy	ADJ
cana-3834	15	11	networks	network	NOUN
cana-3834	15	12	by	by	ADP
cana-3834	15	13	k.t	k.t	PROPN
cana-3834	15	14	.	.	PROPN
cana-3834	15	15	atanassov	atanassov	PROPN
cana-3834	16	1	[	[	X
cana-3834	16	2	1	1	NUM
cana-3834	16	3	]	]	PUNCT
cana-3834	16	4	and	and	CCONJ
cana-3834	16	5	introduced	introduce	VERB
cana-3834	16	6	additional	additional	ADJ
cana-3834	16	7	level	level	NOUN
cana-3834	16	8	of	of	ADP
cana-3834	16	9	indeterminacy	indeterminacy	NOUN
cana-3834	16	10	in	in	ADP
cana-3834	16	11	intuitionistic	intuitionistic	ADJ
cana-3834	16	12	fuzzy	fuzzy	ADJ
cana-3834	16	13	relationships	relationship	NOUN
cana-3834	16	14	.	.	PUNCT
cana-3834	17	1	florentine	florentine	NOUN
cana-3834	17	2	smarandache	smarandache	PROPN
cana-3834	17	3	et	et	PROPN
cana-3834	17	4	al	al	PROPN
cana-3834	17	5	.	.	PUNCT
cana-3834	18	1	[	[	X
cana-3834	18	2	15	15	NUM
cana-3834	18	3	,	,	PUNCT
cana-3834	18	4	19	19	NUM
cana-3834	18	5	,	,	PUNCT
cana-3834	18	6	20	20	NUM
cana-3834	18	7	]	]	PUNCT
cana-3834	18	8	gave	give	VERB
cana-3834	18	9	an	an	DET
cana-3834	18	10	idea	idea	NOUN
cana-3834	18	11	for	for	ADP
cana-3834	18	12	neutrosophic	neutrosophic	ADJ
cana-3834	18	13	network	network	NOUN
cana-3834	18	14	&	&	CCONJ
cana-3834	18	15	single	single	ADJ
cana-3834	18	16	valued	value	VERB
cana-3834	18	17	neutrosophic	neutrosophic	ADJ
cana-3834	18	18	network	network	NOUN
cana-3834	18	19	or	or	CCONJ
cana-3834	18	20	graphs	graph	NOUN
cana-3834	18	21	as	as	ADP
cana-3834	18	22	an	an	DET
cana-3834	18	23	extension	extension	NOUN
cana-3834	18	24	of	of	ADP
cana-3834	18	25	k.t	k.t	PROPN
cana-3834	18	26	.	.	PROPN
cana-3834	18	27	atanassov	atanassov	PROPN
cana-3834	18	28	concept	concept	NOUN
cana-3834	18	29	on	on	ADP
cana-3834	18	30	the	the	DET
cana-3834	18	31	fuzzy	fuzzy	ADJ
cana-3834	18	32	network	network	NOUN
cana-3834	18	33	and	and	CCONJ
cana-3834	18	34	the	the	DET
cana-3834	18	35	intuitionistic	intuitionistic	ADJ
cana-3834	18	36	fuzzy	fuzzy	ADJ
cana-3834	18	37	network	network	NOUN
cana-3834	18	38	.	.	PUNCT
cana-3834	19	1	the	the	DET
cana-3834	19	2	concept	concept	NOUN
cana-3834	19	3	of	of	ADP
cana-3834	19	4	single	single	ADJ
cana-3834	19	5	valued	value	VERB
cana-3834	19	6	neutrosophic	neutrosophic	ADJ
cana-3834	19	7	graph	graph	NOUN
cana-3834	19	8	and	and	CCONJ
cana-3834	19	9	its	its	PRON
cana-3834	19	10	additives	additive	NOUN
cana-3834	19	11	was	be	AUX
cana-3834	19	12	introduced	introduce	VERB
cana-3834	19	13	by	by	ADP
cana-3834	19	14	said	say	VERB
cana-3834	19	15	broumi	broumi	PROPN
cana-3834	19	16	et	et	PROPN
cana-3834	19	17	al	al	PROPN
cana-3834	19	18	.	.	PUNCT
cana-3834	20	1	[	[	X
cana-3834	20	2	3	3	NUM
cana-3834	20	3	]	]	PUNCT
cana-3834	20	4	.	.	PUNCT
cana-3834	21	1	orge	orge	NOUN
cana-3834	21	2	[	[	X
cana-3834	21	3	13	13	NUM
cana-3834	21	4	]	]	PUNCT
cana-3834	21	5	and	and	CCONJ
cana-3834	21	6	berge	berge	NOUN
cana-3834	22	1	[	[	X
cana-3834	22	2	2	2	NUM
cana-3834	22	3	]	]	PUNCT
cana-3834	22	4	was	be	AUX
cana-3834	22	5	introduced	introduce	VERB
cana-3834	22	6	domination	domination	NOUN
cana-3834	22	7	in	in	ADP
cana-3834	22	8	graphs	graph	NOUN
cana-3834	22	9	and	and	CCONJ
cana-3834	22	10	in	in	ADP
cana-3834	22	11	1977	1977	NUM
cana-3834	22	12	,	,	PUNCT
cana-3834	22	13	a	a	DET
cana-3834	22	14	study	study	NOUN
cana-3834	22	15	on	on	ADP
cana-3834	22	16	domination	domination	NOUN
cana-3834	22	17	number	number	NOUN
cana-3834	22	18	was	be	AUX
cana-3834	22	19	begun	begin	VERB
cana-3834	22	20	by	by	ADP
cana-3834	22	21	cockayne	cockayne	NOUN
cana-3834	22	22	&	&	CCONJ
cana-3834	22	23	hedetniemi	hedetniemi	ADV
cana-3834	23	1	[	[	X
cana-3834	23	2	5	5	NUM
cana-3834	23	3	]	]	PUNCT
cana-3834	23	4	.	.	PUNCT
cana-3834	24	1	a.	a.	PROPN
cana-3834	24	2	somasundaram	somasundaram	PROPN
cana-3834	24	3	and	and	CCONJ
cana-3834	24	4	s.	s.	PROPN
cana-3834	24	5	somasundaram	somasundaram	PROPN
cana-3834	25	1	[	[	X
cana-3834	25	2	16	16	NUM
cana-3834	25	3	]	]	PUNCT
cana-3834	25	4	introduced	introduce	VERB
cana-3834	25	5	domination	domination	NOUN
cana-3834	25	6	in	in	ADP
cana-3834	25	7	fuzzy	fuzzy	ADJ
cana-3834	25	8	network	network	NOUN
cana-3834	25	9	.	.	PUNCT
cana-3834	26	1	domination	domination	NOUN
cana-3834	26	2	in	in	ADP
cana-3834	26	3	fuzzy	fuzzy	ADJ
cana-3834	26	4	graph	graph	NOUN
cana-3834	26	5	using	use	VERB
cana-3834	26	6	strong	strong	ADJ
cana-3834	26	7	arcs	arc	NOUN
cana-3834	26	8	is	be	AUX
cana-3834	26	9	discussed	discuss	VERB
cana-3834	26	10	by	by	ADP
cana-3834	26	11	a.	a.	PROPN
cana-3834	26	12	nagoorgani	nagoorgani	PROPN
cana-3834	26	13	v.t	v.t	PROPN
cana-3834	26	14	.	.	PROPN
cana-3834	26	15	chandrasekaran	chandrasekaran	VERB
cana-3834	27	1	[	[	X
cana-3834	27	2	12	12	NUM
cana-3834	27	3	]	]	PUNCT
cana-3834	27	4	.	.	PUNCT
cana-3834	28	1	an	an	DET
cana-3834	28	2	idea	idea	NOUN
cana-3834	28	3	of	of	ADP
cana-3834	28	4	point	point	NOUN
cana-3834	28	5	set	set	VERB
cana-3834	28	6	domination	domination	NOUN
cana-3834	28	7	in	in	ADP
cana-3834	28	8	graphs	graph	NOUN
cana-3834	28	9	are	be	AUX
cana-3834	28	10	introduced	introduce	VERB
cana-3834	28	11	by	by	ADP
cana-3834	28	12	sampathkumar	sampathkumar	PROPN
cana-3834	28	13	and	and	CCONJ
cana-3834	28	14	pushpalatha	pushpalatha	PROPN
cana-3834	29	1	[	[	X
cana-3834	29	2	14	14	NUM
cana-3834	29	3	]	]	PUNCT
cana-3834	29	4	.	.	PUNCT
cana-3834	30	1	s.	s.	PROPN
cana-3834	30	2	kaspar	kaspar	PROPN
cana-3834	30	3	&	&	CCONJ
cana-3834	30	4	b.	b.	PROPN
cana-3834	30	5	gayathri	gayathri	PROPN
cana-3834	31	1	[	[	X
cana-3834	31	2	11	11	NUM
cana-3834	31	3	]	]	PUNCT
cana-3834	31	4	introduced	introduce	VERB
cana-3834	31	5	few	few	ADJ
cana-3834	31	6	results	result	NOUN
cana-3834	31	7	on	on	ADP
cana-3834	31	8	point	point	NOUN
cana-3834	31	9	set	set	VERB
cana-3834	31	10	tree	tree	NOUN
cana-3834	31	11	domination	domination	NOUN
cana-3834	31	12	of	of	ADP
cana-3834	31	13	graphs	graph	NOUN
cana-3834	31	14	.	.	PUNCT
cana-3834	32	1	v.	v.	ADP
cana-3834	32	2	swaminathan	swaminathan	ADV
cana-3834	32	3	and	and	CCONJ
cana-3834	32	4	r.	r.	PROPN
cana-3834	32	5	poovazhaki	poovazhaki	PROPN
cana-3834	33	1	[	[	X
cana-3834	33	2	17	17	NUM
cana-3834	33	3	]	]	PUNCT
cana-3834	33	4	introduced	introduce	VERB
cana-3834	33	5	the	the	DET
cana-3834	33	6	idea	idea	NOUN
cana-3834	33	7	of	of	ADP
cana-3834	33	8	point	point	NOUN
cana-3834	33	9	set	set	VERB
cana-3834	33	10	domination	domination	NOUN
cana-3834	33	11	with	with	ADP
cana-3834	33	12	reference	reference	NOUN
cana-3834	33	13	to	to	ADP
cana-3834	33	14	degree	degree	NOUN
cana-3834	33	15	and	and	CCONJ
cana-3834	33	16	also	also	ADV
cana-3834	33	17	discussed	discuss	VERB
cana-3834	33	18	connected	connected	ADJ
cana-3834	33	19	point	point	NOUN
cana-3834	33	20	set	set	VERB
cana-3834	33	21	domination	domination	NOUN
cana-3834	33	22	of	of	ADP
cana-3834	33	23	graph	graph	NOUN
cana-3834	33	24	.	.	PUNCT
cana-3834	34	1	idea	idea	NOUN
cana-3834	34	2	of	of	ADP
cana-3834	34	3	connected	connected	ADJ
cana-3834	34	4	point	point	NOUN
cana-3834	34	5	set	set	VERB
cana-3834	34	6	domination	domination	NOUN
cana-3834	34	7	of	of	ADP
cana-3834	34	8	fuzzy	fuzzy	ADJ
cana-3834	34	9	graph	graph	NOUN
cana-3834	34	10	was	be	AUX
cana-3834	34	11	discussed	discuss	VERB
cana-3834	34	12	by	by	ADP
cana-3834	34	13	s.	s.	PROPN
cana-3834	34	14	vimala	vimala	PROPN
cana-3834	34	15	&	&	CCONJ
cana-3834	34	16	j.s	j.s	PROPN
cana-3834	34	17	.	.	PROPN
cana-3834	35	1	sathya	sathya	PROPN
cana-3834	36	1	[	[	X
cana-3834	36	2	18	18	NUM
cana-3834	36	3	]	]	PUNCT
cana-3834	36	4	.	.	PUNCT
cana-3834	37	1	in	in	ADP
cana-3834	37	2	this	this	DET
cana-3834	37	3	paper	paper	NOUN
cana-3834	37	4	section	section	NOUN
cana-3834	37	5	2	2	NUM
cana-3834	37	6	contains	contain	VERB
cana-3834	37	7	preliminary	preliminary	ADJ
cana-3834	37	8	,	,	PUNCT
cana-3834	37	9	section	section	NOUN
cana-3834	37	10	3	3	NUM
cana-3834	37	11	defines	define	NOUN
cana-3834	37	12	point	point	NOUN
cana-3834	37	13	set	set	VERB
cana-3834	37	14	neutrosophic	neutrosophic	ADJ
cana-3834	37	15	dominance	dominance	NOUN
cana-3834	37	16	number	number	NOUN
cana-3834	37	17	,	,	PUNCT
cana-3834	37	18	point	point	NOUN
cana-3834	37	19	set	set	VERB
cana-3834	37	20	tree	tree	NOUN
cana-3834	37	21	neutrosophic	neutrosophic	ADJ
cana-3834	37	22	dominance	dominance	NOUN
cana-3834	37	23	number	number	NOUN
cana-3834	37	24	,	,	PUNCT
cana-3834	37	25	connected	connected	ADJ
cana-3834	37	26	point	point	NOUN
cana-3834	37	27	set	set	VERB
cana-3834	37	28	neutrosophic	neutrosophic	ADJ
cana-3834	37	29	dominance	dominance	NOUN
cana-3834	37	30	number	number	NOUN
cana-3834	37	31	in	in	ADP
cana-3834	37	32	neutrosophic	neutrosophic	ADJ
cana-3834	37	33	network	network	NOUN
cana-3834	37	34	and	and	CCONJ
cana-3834	37	35	their	their	PRON
cana-3834	37	36	bounds	bound	NOUN
cana-3834	37	37	has	have	AUX
cana-3834	37	38	been	be	AUX
cana-3834	37	39	formulated	formulate	VERB
cana-3834	37	40	and	and	CCONJ
cana-3834	37	41	section	section	NOUN
cana-3834	37	42	4	4	NUM
cana-3834	37	43	concludes	conclude	VERB
cana-3834	37	44	the	the	DET
cana-3834	37	45	paper	paper	NOUN
cana-3834	37	46	.	.	PUNCT
cana-3834	38	1	communications	communication	NOUN
cana-3834	38	2	on	on	ADP
cana-3834	38	3	applied	apply	VERB
cana-3834	38	4	nonlinear	nonlinear	ADJ
cana-3834	38	5	analysis	analysis	NOUN
cana-3834	38	6	issn	issn	NOUN
cana-3834	38	7	:	:	PUNCT
cana-3834	38	8	1074	1074	NUM
cana-3834	38	9	-	-	PUNCT
cana-3834	38	10	133x	133x	NUM
cana-3834	38	11	vol	vol	NOUN
cana-3834	38	12	32	32	NUM
cana-3834	38	13	no	no	NOUN
cana-3834	38	14	.	.	PUNCT
cana-3834	39	1	9s	9s	NUM
cana-3834	39	2	(	(	PUNCT
cana-3834	39	3	2025	2025	NUM
cana-3834	39	4	)	)	PUNCT
cana-3834	39	5	19	19	NUM
cana-3834	40	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3834	40	2	2	2	NUM
cana-3834	40	3	.	.	PUNCT
cana-3834	40	4	preliminaries	preliminary	NOUN
cana-3834	40	5	definition	definition	NOUN
cana-3834	40	6	2.1	2.1	NUM
cana-3834	40	7	(	(	PUNCT
cana-3834	40	8	8)	8)	NUM
cana-3834	40	9	.	.	PUNCT
cana-3834	41	1	a	a	DET
cana-3834	41	2	pair	pair	NOUN
cana-3834	41	3	𝐺	𝐺	NOUN
cana-3834	41	4	=	=	SYM
cana-3834	41	5	(	(	PUNCT
cana-3834	41	6	𝐴	𝐴	PROPN
cana-3834	41	7	,	,	PUNCT
cana-3834	41	8	𝐵	𝐵	PROPN
cana-3834	41	9	)	)	PUNCT
cana-3834	41	10	is	be	AUX
cana-3834	41	11	known	know	VERB
cana-3834	41	12	as	as	ADP
cana-3834	41	13	single	single	ADJ
cana-3834	41	14	valued	value	VERB
cana-3834	41	15	neutrosophic	neutrosophic	ADJ
cana-3834	41	16	graph	graph	NOUN
cana-3834	41	17	with	with	ADP
cana-3834	41	18	the	the	DET
cana-3834	41	19	underlying	underlie	VERB
cana-3834	41	20	set	set	NOUN
cana-3834	41	21	𝑉	𝑉	PROPN
cana-3834	41	22	.	.	PUNCT
cana-3834	42	1	1	1	X
cana-3834	42	2	.	.	X
cana-3834	43	1	the	the	DET
cana-3834	43	2	functions	function	NOUN
cana-3834	43	3	𝑇𝐴	𝑇𝐴	NOUN
cana-3834	43	4	→	→	SYM
cana-3834	43	5	[	[	X
cana-3834	43	6	0	0	NUM
cana-3834	43	7	,	,	PUNCT
cana-3834	43	8	1	1	NUM
cana-3834	43	9	]	]	PUNCT
cana-3834	43	10	,	,	PUNCT
cana-3834	43	11	𝐼𝐴	𝐼𝐴	PROPN
cana-3834	43	12	∶	∶	NOUN
cana-3834	43	13	𝑉	𝑉	PROPN
cana-3834	43	14	→	→	SYM
cana-3834	43	15	[	[	X
cana-3834	43	16	0	0	NUM
cana-3834	43	17	,	,	PUNCT
cana-3834	43	18	1	1	NUM
cana-3834	43	19	]	]	PUNCT
cana-3834	43	20	and	and	CCONJ
cana-3834	43	21	𝐹𝐴	𝐹𝐴	PROPN
cana-3834	43	22	∶	∶	NOUN
cana-3834	43	23	𝑉	𝑉	PROPN
cana-3834	43	24	→	→	SYM
cana-3834	43	25	[	[	X
cana-3834	43	26	0	0	NUM
cana-3834	43	27	,	,	PUNCT
cana-3834	43	28	1	1	NUM
cana-3834	43	29	]	]	PUNCT
cana-3834	43	30	denote	denote	VERB
cana-3834	43	31	the	the	DET
cana-3834	43	32	degree	degree	NOUN
cana-3834	43	33	of	of	ADP
cana-3834	43	34	truthmembership	truthmembership	NOUN
cana-3834	43	35	,	,	PUNCT
cana-3834	43	36	degree	degree	NOUN
cana-3834	43	37	of	of	ADP
cana-3834	43	38	indeterminacy	indeterminacy	NOUN
cana-3834	43	39	-	-	PUNCT
cana-3834	43	40	membership	membership	NOUN
cana-3834	43	41	and	and	CCONJ
cana-3834	43	42	falsity	falsity	NOUN
cana-3834	43	43	-	-	PUNCT
cana-3834	43	44	membership	membership	NOUN
cana-3834	43	45	of	of	ADP
cana-3834	43	46	the	the	DET
cana-3834	43	47	element	element	NOUN
cana-3834	43	48	𝑣𝑖	𝑣𝑖	ADP
cana-3834	43	49	∈	∈	PROPN
cana-3834	43	50	𝑉	𝑉	PROPN
cana-3834	43	51	respectively	respectively	ADV
cana-3834	43	52	and	and	CCONJ
cana-3834	43	53	0	0	NUM
cana-3834	43	54	≤	≤	NUM
cana-3834	43	55	𝑇𝐴(𝑣𝑖	𝑇𝐴(𝑣𝑖	NUM
cana-3834	43	56	)	)	PUNCT
cana-3834	44	1	+	+	CCONJ
cana-3834	44	2	𝐼𝐴(𝑣𝑖	𝐼𝐴(𝑣𝑖	NUM
cana-3834	44	3	)	)	PUNCT
cana-3834	44	4	+	+	CCONJ
cana-3834	44	5	𝐹𝐴(𝑣𝑖	𝐹𝐴(𝑣𝑖	ADJ
cana-3834	44	6	)	)	PUNCT
cana-3834	44	7	≤	≤	ADV
cana-3834	44	8	3	3	NUM
cana-3834	44	9	for	for	ADP
cana-3834	44	10	all	all	DET
cana-3834	44	11	𝑣𝑖	𝑣𝑖	ADP
cana-3834	44	12	∈	∈	PROPN
cana-3834	44	13	𝑉	𝑉	PROPN
cana-3834	44	14	.	.	PUNCT
cana-3834	45	1	2	2	NUM
cana-3834	45	2	.	.	PUNCT
cana-3834	46	1	the	the	DET
cana-3834	46	2	functions	function	NOUN
cana-3834	46	3	𝑇𝐵	𝑇𝐵	PROPN
cana-3834	46	4	∶	∶	PROPN
cana-3834	46	5	𝐸	𝐸	ADJ
cana-3834	46	6	⊆	⊆	NUM
cana-3834	46	7	𝑉	𝑉	PROPN
cana-3834	46	8	×	×	PROPN
cana-3834	46	9	𝑉	𝑉	PROPN
cana-3834	46	10	→	→	SYM
cana-3834	46	11	[	[	X
cana-3834	46	12	0	0	NUM
cana-3834	46	13	,	,	PUNCT
cana-3834	46	14	1	1	NUM
cana-3834	46	15	]	]	PUNCT
cana-3834	46	16	,	,	PUNCT
cana-3834	46	17	𝐼𝐵	𝐼𝐵	PROPN
cana-3834	46	18	∶	∶	NOUN
cana-3834	46	19	𝐸	𝐸	NOUN
cana-3834	46	20	⊆	⊆	NUM
cana-3834	46	21	𝑉	𝑉	PROPN
cana-3834	46	22	×	×	PROPN
cana-3834	46	23	𝑉	𝑉	PROPN
cana-3834	46	24	→	→	SYM
cana-3834	46	25	[	[	X
cana-3834	46	26	0	0	NUM
cana-3834	46	27	,	,	PUNCT
cana-3834	46	28	1	1	NUM
cana-3834	46	29	]	]	PUNCT
cana-3834	46	30	and	and	CCONJ
cana-3834	46	31	𝐹𝐵	𝐹𝐵	PROPN
cana-3834	46	32	∶	∶	NOUN
cana-3834	46	33	𝐸	𝐸	NOUN
cana-3834	46	34	⊆	⊆	NUM
cana-3834	46	35	𝑉	𝑉	PROPN
cana-3834	46	36	×	×	PROPN
cana-3834	46	37	𝑉	𝑉	PROPN
cana-3834	46	38	→	→	SYM
cana-3834	46	39	[	[	X
cana-3834	46	40	0	0	NUM
cana-3834	46	41	,	,	PUNCT
cana-3834	46	42	1	1	NUM
cana-3834	46	43	]	]	PUNCT
cana-3834	46	44	are	be	AUX
cana-3834	46	45	defined	define	VERB
cana-3834	46	46	by	by	ADP
cana-3834	46	47	truth	truth	NOUN
cana-3834	46	48	-	-	PUNCT
cana-3834	46	49	membership	membership	NOUN
cana-3834	46	50	,	,	PUNCT
cana-3834	46	51	indeterminacy	indeterminacy	NOUN
cana-3834	46	52	-	-	PUNCT
cana-3834	46	53	membership	membership	NOUN
cana-3834	46	54	and	and	CCONJ
cana-3834	46	55	falsity	falsity	NOUN
cana-3834	46	56	-	-	PUNCT
cana-3834	46	57	membership	membership	NOUN
cana-3834	46	58	of	of	ADP
cana-3834	46	59	the	the	DET
cana-3834	46	60	𝑇𝐴(𝑣𝑖	𝑇𝐴(𝑣𝑖	NUM
cana-3834	46	61	,	,	PUNCT
cana-3834	46	62	𝑣𝑗	𝑣𝑗	NOUN
cana-3834	46	63	)	)	PUNCT
cana-3834	46	64	≤	≤	NOUN
cana-3834	46	65	𝑇𝐴(𝑣𝑖	𝑇𝐴(𝑣𝑖	NUM
cana-3834	46	66	)	)	PUNCT
cana-3834	46	67	∧	∧	PROPN
cana-3834	46	68	𝑇𝐴(𝑣𝑗	𝑇𝐴(𝑣𝑗	PROPN
cana-3834	46	69	)	)	PUNCT
cana-3834	46	70	,	,	PUNCT
cana-3834	46	71	𝐼𝐴	𝐼𝐴	PROPN
cana-3834	46	72	(	(	PUNCT
cana-3834	46	73	𝑣𝑖	𝑣𝑖	PROPN
cana-3834	46	74	,	,	PUNCT
cana-3834	46	75	𝑣𝑗	𝑣𝑗	NOUN
cana-3834	46	76	)	)	PUNCT
cana-3834	46	77	≥	≥	NOUN
cana-3834	46	78	𝐼𝐴(𝑣𝑖	𝐼𝐴(𝑣𝑖	NUM
cana-3834	46	79	)	)	PUNCT
cana-3834	46	80	∨	∨	NUM
cana-3834	46	81	𝐼𝐴(𝑣𝑗	𝐼𝐴(𝑣𝑗	PROPN
cana-3834	46	82	)	)	PUNCT
cana-3834	46	83	,	,	PUNCT
cana-3834	46	84	𝐹𝐴(𝑣𝑖	𝐹𝐴(𝑣𝑖	ADJ
cana-3834	46	85	,	,	PUNCT
cana-3834	46	86	𝑣𝑗	𝑣𝑗	NOUN
cana-3834	46	87	)	)	PUNCT
cana-3834	46	88	≥	≥	NOUN
cana-3834	46	89	𝐹𝐴(𝑣𝑖	𝐹𝐴(𝑣𝑖	NUM
cana-3834	46	90	)	)	PUNCT
cana-3834	46	91	∨	∨	NUM
cana-3834	46	92	𝐹𝐴(𝑣𝑗	𝐹𝐴(𝑣𝑗	NUM
cana-3834	46	93	)	)	PUNCT
cana-3834	46	94	,	,	PUNCT
cana-3834	46	95	denotes	denote	VERB
cana-3834	46	96	the	the	DET
cana-3834	46	97	degree	degree	NOUN
cana-3834	46	98	of	of	ADP
cana-3834	46	99	edge	edge	NOUN
cana-3834	46	100	(	(	PUNCT
cana-3834	46	101	𝑣𝑖	𝑣𝑖	NOUN
cana-3834	46	102	,	,	PUNCT
cana-3834	46	103	𝑣𝑗	𝑣𝑗	NOUN
cana-3834	46	104	)	)	PUNCT
cana-3834	46	105	∈	∈	PROPN
cana-3834	46	106	𝐸	𝐸	PROPN
cana-3834	46	107	(	(	PUNCT
cana-3834	46	108	𝑖	𝑖	PROPN
cana-3834	46	109	,	,	PUNCT
cana-3834	46	110	𝑗	𝑗	NOUN
cana-3834	46	111	=	=	SYM
cana-3834	46	112	1	1	NUM
cana-3834	46	113	,	,	PUNCT
cana-3834	46	114	2	2	NUM
cana-3834	46	115	,	,	PUNCT
cana-3834	46	116	.	.	PUNCT
cana-3834	46	117	.	.	PUNCT
cana-3834	47	1	.	.	PUNCT
cana-3834	48	1	,	,	PUNCT
cana-3834	48	2	𝑛	𝑛	NOUN
cana-3834	48	3	)	)	PUNCT
cana-3834	48	4	.	.	PUNCT
cana-3834	49	1	definition	definition	NOUN
cana-3834	49	2	2.2	2.2	NUM
cana-3834	49	3	(	(	PUNCT
cana-3834	49	4	4	4	NUM
cana-3834	49	5	)	)	PUNCT
cana-3834	49	6	.	.	PUNCT
cana-3834	50	1	let	let	VERB
cana-3834	50	2	𝐺	𝐺	PROPN
cana-3834	50	3	=	=	SYM
cana-3834	50	4	(	(	PUNCT
cana-3834	50	5	𝐴	𝐴	PROPN
cana-3834	50	6	,	,	PUNCT
cana-3834	50	7	𝐵	𝐵	PROPN
cana-3834	50	8	)	)	PUNCT
cana-3834	50	9	be	be	VERB
cana-3834	50	10	a	a	DET
cana-3834	50	11	svng	svng	NOUN
cana-3834	50	12	,	,	PUNCT
cana-3834	50	13	g	g	PROPN
cana-3834	50	14	is	be	AUX
cana-3834	50	15	said	say	VERB
cana-3834	50	16	to	to	PART
cana-3834	50	17	be	be	AUX
cana-3834	50	18	strong	strong	ADJ
cana-3834	50	19	svng	svng	NOUN
cana-3834	50	20	if	if	SCONJ
cana-3834	50	21	𝑇𝐵(𝑢	𝑇𝐵(𝑢	NOUN
cana-3834	50	22	,	,	PUNCT
cana-3834	50	23	𝑣	𝑣	NOUN
cana-3834	50	24	)	)	PUNCT
cana-3834	50	25	=	=	SYM
cana-3834	50	26	𝑇𝐴(𝑢	𝑇𝐴(𝑢	ADJ
cana-3834	50	27	)	)	PUNCT
cana-3834	50	28	∧	∧	PROPN
cana-3834	50	29	𝑇𝐴(𝑣	𝑇𝐴(𝑣	NOUN
cana-3834	50	30	)	)	PUNCT
cana-3834	50	31	,	,	PUNCT
cana-3834	50	32	𝐼𝐵(𝑢	𝐼𝐵(𝑢	PROPN
cana-3834	50	33	,	,	PUNCT
cana-3834	50	34	𝑣	𝑣	NOUN
cana-3834	50	35	)	)	PUNCT
cana-3834	50	36	=	=	SYM
cana-3834	50	37	𝐼𝐴(𝑢	𝐼𝐴(𝑢	NOUN
cana-3834	50	38	)	)	PUNCT
cana-3834	50	39	∨	∨	NUM
cana-3834	50	40	𝑇𝐴(𝑣	𝑇𝐴(𝑣	NOUN
cana-3834	50	41	)	)	PUNCT
cana-3834	50	42	,	,	PUNCT
cana-3834	50	43	𝐹𝐵(𝑢	𝐹𝐵(𝑢	PROPN
cana-3834	50	44	,	,	PUNCT
cana-3834	50	45	𝑣	𝑣	X
cana-3834	50	46	)	)	PUNCT
cana-3834	50	47	=	=	SYM
cana-3834	51	1	𝐹𝐴(𝑢	𝐹𝐴(𝑢	X
cana-3834	51	2	)	)	PUNCT
cana-3834	51	3	∨	∨	NUM
cana-3834	51	4	𝐹𝐴(𝑣	𝐹𝐴(𝑣	ADJ
cana-3834	51	5	)	)	PUNCT
cana-3834	51	6	for	for	ADP
cana-3834	51	7	every	every	DET
cana-3834	51	8	(	(	PUNCT
cana-3834	51	9	𝑢	𝑢	X
cana-3834	51	10	,	,	PUNCT
cana-3834	51	11	𝑣	𝑣	NOUN
cana-3834	51	12	)	)	PUNCT
cana-3834	51	13	∈	∈	PROPN
cana-3834	51	14	𝐸.	𝐸.	PROPN
cana-3834	51	15	definition	definition	NOUN
cana-3834	51	16	2.3	2.3	NUM
cana-3834	51	17	(	(	PUNCT
cana-3834	51	18	6	6	NUM
cana-3834	51	19	)	)	PUNCT
cana-3834	51	20	.	.	PUNCT
cana-3834	52	1	let	let	VERB
cana-3834	52	2	𝐺	𝐺	PROPN
cana-3834	52	3	=	=	SYM
cana-3834	52	4	(	(	PUNCT
cana-3834	52	5	𝐴	𝐴	PROPN
cana-3834	52	6	,	,	PUNCT
cana-3834	52	7	𝐵	𝐵	PROPN
cana-3834	52	8	)	)	PUNCT
cana-3834	52	9	be	be	VERB
cana-3834	52	10	a	a	DET
cana-3834	52	11	svng	svng	NOUN
cana-3834	52	12	,	,	PUNCT
cana-3834	52	13	g	g	PROPN
cana-3834	52	14	is	be	AUX
cana-3834	52	15	said	say	VERB
cana-3834	52	16	to	to	PART
cana-3834	52	17	be	be	AUX
cana-3834	52	18	complete	complete	ADJ
cana-3834	52	19	svng	svng	NOUN
cana-3834	52	20	if	if	SCONJ
cana-3834	52	21	𝑇𝐵(𝑢	𝑇𝐵(𝑢	NOUN
cana-3834	52	22	,	,	PUNCT
cana-3834	52	23	𝑣	𝑣	NOUN
cana-3834	52	24	)	)	PUNCT
cana-3834	52	25	=	=	SYM
cana-3834	52	26	𝑇𝐴(𝑢	𝑇𝐴(𝑢	ADJ
cana-3834	52	27	)	)	PUNCT
cana-3834	52	28	∧	∧	PROPN
cana-3834	52	29	𝑇𝐴(𝑣	𝑇𝐴(𝑣	NOUN
cana-3834	52	30	)	)	PUNCT
cana-3834	52	31	,	,	PUNCT
cana-3834	52	32	𝐼𝐵(𝑢	𝐼𝐵(𝑢	PROPN
cana-3834	52	33	,	,	PUNCT
cana-3834	52	34	𝑣	𝑣	NOUN
cana-3834	52	35	)	)	PUNCT
cana-3834	52	36	=	=	SYM
cana-3834	52	37	𝐼𝐴(𝑢	𝐼𝐴(𝑢	NOUN
cana-3834	52	38	)	)	PUNCT
cana-3834	52	39	∨	∨	NUM
cana-3834	52	40	𝑇𝐴(𝑣	𝑇𝐴(𝑣	NOUN
cana-3834	52	41	)	)	PUNCT
cana-3834	52	42	,	,	PUNCT
cana-3834	52	43	𝐹𝐵(𝑢	𝐹𝐵(𝑢	PROPN
cana-3834	52	44	,	,	PUNCT
cana-3834	52	45	𝑣	𝑣	X
cana-3834	52	46	)	)	PUNCT
cana-3834	52	47	=	=	SYM
cana-3834	53	1	𝐹𝐴(𝑢	𝐹𝐴(𝑢	X
cana-3834	53	2	)	)	PUNCT
cana-3834	53	3	∨	∨	NUM
cana-3834	53	4	𝐹𝐴(𝑣	𝐹𝐴(𝑣	ADJ
cana-3834	53	5	)	)	PUNCT
cana-3834	53	6	for	for	ADP
cana-3834	53	7	every	every	DET
cana-3834	53	8	𝑢	𝑢	PROPN
cana-3834	53	9	,	,	PUNCT
cana-3834	53	10	𝑣	𝑣	PRON
cana-3834	53	11	∈	∈	NOUN
cana-3834	53	12	𝐸.	𝐸.	PROPN
cana-3834	53	13	definition	definition	NOUN
cana-3834	53	14	2.4	2.4	NUM
cana-3834	53	15	(	(	PUNCT
cana-3834	53	16	7	7	NUM
cana-3834	53	17	)	)	PUNCT
cana-3834	53	18	.	.	PUNCT
cana-3834	54	1	let	let	VERB
cana-3834	54	2	𝐺	𝐺	PROPN
cana-3834	54	3	=	=	SYM
cana-3834	54	4	(	(	PUNCT
cana-3834	54	5	𝐴	𝐴	PROPN
cana-3834	54	6	,	,	PUNCT
cana-3834	54	7	𝐵	𝐵	PROPN
cana-3834	54	8	)	)	PUNCT
cana-3834	54	9	be	be	VERB
cana-3834	54	10	a	a	DET
cana-3834	54	11	svng	svng	NOUN
cana-3834	54	12	on	on	ADP
cana-3834	54	13	v	v	NUM
cana-3834	54	14	,	,	PUNCT
cana-3834	54	15	then	then	ADV
cana-3834	54	16	the	the	DET
cana-3834	54	17	neutrosophic	neutrosophic	ADJ
cana-3834	54	18	vertex	vertex	NOUN
cana-3834	54	19	cardinality	cardinality	NOUN
cana-3834	54	20	of	of	ADP
cana-3834	54	21	g	g	PROPN
cana-3834	54	22	is	be	AUX
cana-3834	54	23	defined	define	VERB
cana-3834	54	24	by	by	ADP
cana-3834	54	25	|v	|v	PROPN
cana-3834	55	1	|	|	ADV
cana-3834	55	2	=	=	SYM
cana-3834	55	3	∑	∑	PUNCT
cana-3834	55	4	1	1	NUM
cana-3834	55	5	+	+	CCONJ
cana-3834	55	6	𝑇𝐵(𝑢,𝑣	𝑇𝐵(𝑢,𝑣	ADJ
cana-3834	55	7	)	)	PUNCT
cana-3834	55	8	+	+	CCONJ
cana-3834	55	9	𝐼𝐵(𝑢,𝑣	𝐼𝐵(𝑢,𝑣	ADJ
cana-3834	55	10	)	)	PUNCT
cana-3834	55	11	−𝐹𝐵(𝑢,𝑣	−𝐹𝐵(𝑢,𝑣	NUM
cana-3834	55	12	)	)	PUNCT
cana-3834	55	13	2v	2v	PROPN
cana-3834	55	14	(	(	PUNCT
cana-3834	55	15	𝑢,𝑣)∈𝑉	𝑢,𝑣)∈𝑉	ADJ
cana-3834	55	16	definition	definition	NOUN
cana-3834	55	17	2.5	2.5	NUM
cana-3834	55	18	(	(	PUNCT
cana-3834	55	19	7	7	NUM
cana-3834	55	20	)	)	PUNCT
cana-3834	55	21	.	.	PUNCT
cana-3834	56	1	let	let	VERB
cana-3834	56	2	𝐺	𝐺	PROPN
cana-3834	56	3	=	=	SYM
cana-3834	56	4	(	(	PUNCT
cana-3834	56	5	𝐴	𝐴	PROPN
cana-3834	56	6	,	,	PUNCT
cana-3834	56	7	𝐵	𝐵	PROPN
cana-3834	56	8	)	)	PUNCT
cana-3834	56	9	be	be	VERB
cana-3834	56	10	a	a	DET
cana-3834	56	11	svng	svng	NOUN
cana-3834	56	12	on	on	ADP
cana-3834	56	13	e	e	PROPN
cana-3834	56	14	,	,	PUNCT
cana-3834	56	15	then	then	ADV
cana-3834	56	16	the	the	DET
cana-3834	56	17	neutrosophic	neutrosophic	ADJ
cana-3834	56	18	edge	edge	NOUN
cana-3834	56	19	cardinality	cardinality	NOUN
cana-3834	56	20	of	of	ADP
cana-3834	56	21	g	g	PROPN
cana-3834	56	22	is	be	AUX
cana-3834	56	23	defined	define	VERB
cana-3834	56	24	by	by	ADP
cana-3834	56	25	|e|	|e|	PROPN
cana-3834	56	26	=	=	PUNCT
cana-3834	56	27	∑	∑	PROPN
cana-3834	56	28	1	1	NUM
cana-3834	56	29	+	+	CCONJ
cana-3834	56	30	𝑇𝐵(𝑢,𝑣	𝑇𝐵(𝑢,𝑣	ADJ
cana-3834	56	31	)	)	PUNCT
cana-3834	57	1	+	+	CCONJ
cana-3834	57	2	𝐼𝐵(𝑢,𝑣	𝐼𝐵(𝑢,𝑣	ADJ
cana-3834	57	3	)	)	PUNCT
cana-3834	57	4	−𝐹𝐵(𝑢,𝑣	−𝐹𝐵(𝑢,𝑣	ADV
cana-3834	57	5	)	)	PUNCT
cana-3834	57	6	2(𝑢,𝑣)∈𝐸	2(𝑢,𝑣)∈𝐸	NUM
cana-3834	57	7	definition	definition	NOUN
cana-3834	57	8	2.6	2.6	NUM
cana-3834	57	9	(	(	PUNCT
cana-3834	57	10	12	12	NUM
cana-3834	57	11	)	)	PUNCT
cana-3834	57	12	.	.	PUNCT
cana-3834	58	1	an	an	DET
cana-3834	58	2	arc	arc	NOUN
cana-3834	58	3	(	(	PUNCT
cana-3834	58	4	𝑢	𝑢	X
cana-3834	58	5	,	,	PUNCT
cana-3834	58	6	𝑣	𝑣	NOUN
cana-3834	58	7	)	)	PUNCT
cana-3834	58	8	of	of	ADP
cana-3834	58	9	a	a	DET
cana-3834	58	10	svng	svng	NOUN
cana-3834	58	11	g	g	NOUN
cana-3834	58	12	is	be	AUX
cana-3834	58	13	called	call	VERB
cana-3834	58	14	strong	strong	ADJ
cana-3834	58	15	arc	arc	NOUN
cana-3834	58	16	if	if	SCONJ
cana-3834	58	17	𝑇𝐵(𝑢	𝑇𝐵(𝑢	NOUN
cana-3834	58	18	,	,	PUNCT
cana-3834	58	19	𝑣	𝑣	NOUN
cana-3834	58	20	)	)	PUNCT
cana-3834	58	21	=	=	SYM
cana-3834	58	22	𝑇𝐴(𝑢	𝑇𝐴(𝑢	ADJ
cana-3834	58	23	)	)	PUNCT
cana-3834	58	24	∧	∧	PROPN
cana-3834	58	25	𝑇𝐴(𝑣	𝑇𝐴(𝑣	NOUN
cana-3834	58	26	)	)	PUNCT
cana-3834	58	27	,	,	PUNCT
cana-3834	58	28	𝐼	𝐼	PROPN
cana-3834	58	29	𝐵(𝑢	𝐵(𝑢	PROPN
cana-3834	58	30	,	,	PUNCT
cana-3834	58	31	𝑣	𝑣	NOUN
cana-3834	58	32	)	)	PUNCT
cana-3834	58	33	=	=	SYM
cana-3834	58	34	𝐼𝐴(𝑢	𝐼𝐴(𝑢	NOUN
cana-3834	58	35	)	)	PUNCT
cana-3834	58	36	∨	∨	NUM
cana-3834	58	37	𝐼𝐴(𝑣	𝐼𝐴(𝑣	NOUN
cana-3834	58	38	)	)	PUNCT
cana-3834	58	39	,	,	PUNCT
cana-3834	58	40	𝐹𝐵(𝑢	𝐹𝐵(𝑢	PROPN
cana-3834	58	41	,	,	PUNCT
cana-3834	58	42	𝑣	𝑣	X
cana-3834	58	43	)	)	PUNCT
cana-3834	58	44	=	=	SYM
cana-3834	58	45	𝐹𝐴(𝑢	𝐹𝐴(𝑢	X
cana-3834	58	46	)	)	PUNCT
cana-3834	58	47	∨	∨	NUM
cana-3834	58	48	𝐹𝐴(𝑣	𝐹𝐴(𝑣	ADJ
cana-3834	58	49	)	)	PUNCT
cana-3834	58	50	.	.	PUNCT
cana-3834	59	1	definition	definition	NOUN
cana-3834	59	2	2.7	2.7	NUM
cana-3834	59	3	(	(	PUNCT
cana-3834	59	4	7	7	NUM
cana-3834	59	5	)	)	PUNCT
cana-3834	59	6	.	.	PUNCT
cana-3834	60	1	let	let	VERB
cana-3834	60	2	𝐺	𝐺	PROPN
cana-3834	60	3	=	=	SYM
cana-3834	60	4	(	(	PUNCT
cana-3834	60	5	𝐴	𝐴	PROPN
cana-3834	60	6	,	,	PUNCT
cana-3834	60	7	𝐵	𝐵	PROPN
cana-3834	60	8	)	)	PUNCT
cana-3834	60	9	be	be	VERB
cana-3834	60	10	a	a	DET
cana-3834	60	11	svng	svng	NOUN
cana-3834	60	12	on	on	ADP
cana-3834	60	13	.	.	PUNCT
cana-3834	61	1	let	let	VERB
cana-3834	61	2	(	(	PUNCT
cana-3834	61	3	𝑢	𝑢	X
cana-3834	61	4	,	,	PUNCT
cana-3834	61	5	𝑣	𝑣	NOUN
cana-3834	61	6	)	)	PUNCT
cana-3834	61	7	∈	∈	PROPN
cana-3834	61	8	𝑉	𝑉	PROPN
cana-3834	61	9	,	,	PUNCT
cana-3834	61	10	we	we	PRON
cana-3834	61	11	say	say	VERB
cana-3834	61	12	that	that	SCONJ
cana-3834	61	13	𝑢	𝑢	PRON
cana-3834	61	14	dominates	dominate	VERB
cana-3834	61	15	𝑣	𝑣	ADP
cana-3834	61	16	in	in	ADP
cana-3834	61	17	𝐺	𝐺	PROPN
cana-3834	61	18	,	,	PUNCT
cana-3834	61	19	if	if	SCONJ
cana-3834	61	20	there	there	PRON
cana-3834	61	21	exist	exist	VERB
cana-3834	61	22	a	a	DET
cana-3834	61	23	strong	strong	ADJ
cana-3834	61	24	arc	arc	NOUN
cana-3834	61	25	between	between	ADP
cana-3834	61	26	them	they	PRON
cana-3834	61	27	.	.	PUNCT
cana-3834	62	1	definition	definition	NOUN
cana-3834	62	2	2.8	2.8	NUM
cana-3834	62	3	(	(	PUNCT
cana-3834	62	4	7	7	NUM
cana-3834	62	5	)	)	PUNCT
cana-3834	62	6	.	.	PUNCT
cana-3834	63	1	given	give	VERB
cana-3834	63	2	𝑆	𝑆	PROPN
cana-3834	63	3	⊂	⊂	PROPN
cana-3834	63	4	𝑉	𝑉	PROPN
cana-3834	63	5	is	be	AUX
cana-3834	63	6	dominating	dominate	VERB
cana-3834	63	7	set	set	VERB
cana-3834	63	8	in	in	ADP
cana-3834	63	9	g	g	PROPN
cana-3834	63	10	if	if	SCONJ
cana-3834	63	11	for	for	ADP
cana-3834	63	12	every	every	DET
cana-3834	63	13	vertex	vertex	NOUN
cana-3834	63	14	𝑣	𝑣	ADP
cana-3834	63	15	∈	∈	PROPN
cana-3834	63	16	𝑉	𝑉	PROPN
cana-3834	63	17	−	−	PROPN
cana-3834	63	18	𝑆	𝑆	PROPN
cana-3834	63	19	there	there	PRON
cana-3834	63	20	exist	exist	VERB
cana-3834	63	21	a	a	DET
cana-3834	63	22	vertex	vertex	NOUN
cana-3834	63	23	𝑢	𝑢	ADP
cana-3834	63	24	∈	∈	PROPN
cana-3834	63	25	𝑆	𝑆	PROPN
cana-3834	63	26	such	such	ADJ
cana-3834	63	27	that	that	SCONJ
cana-3834	63	28	u	u	PROPN
cana-3834	63	29	dominates	dominate	VERB
cana-3834	63	30	𝑣	𝑣	ADP
cana-3834	63	31	,	,	PUNCT
cana-3834	63	32	for	for	ADP
cana-3834	63	33	all	all	DET
cana-3834	63	34	𝑒	𝑒	PROPN
cana-3834	63	35	∈	∈	PROPN
cana-3834	63	36	𝐴	𝐴	PROPN
cana-3834	63	37	,	,	PUNCT
cana-3834	63	38	𝑢	𝑢	PROPN
cana-3834	63	39	,	,	PUNCT
cana-3834	63	40	𝑣	𝑣	PRON
cana-3834	63	41	∈	∈	PROPN
cana-3834	63	42	𝑉	𝑉	PROPN
cana-3834	63	43	.	.	PUNCT
cana-3834	64	1	definition	definition	NOUN
cana-3834	64	2	2.9	2.9	NUM
cana-3834	64	3	(	(	PUNCT
cana-3834	64	4	10	10	NUM
cana-3834	64	5	)	)	PUNCT
cana-3834	64	6	.	.	PUNCT
cana-3834	65	1	let	let	VERB
cana-3834	65	2	𝐺	𝐺	PROPN
cana-3834	65	3	=	=	SYM
cana-3834	65	4	(	(	PUNCT
cana-3834	65	5	𝐴	𝐴	PROPN
cana-3834	65	6	,	,	PUNCT
cana-3834	65	7	𝐵	𝐵	PROPN
cana-3834	65	8	)	)	PUNCT
cana-3834	65	9	be	be	VERB
cana-3834	65	10	a	a	DET
cana-3834	65	11	fuzzy	fuzzy	ADJ
cana-3834	65	12	graph	graph	NOUN
cana-3834	65	13	.	.	PUNCT
cana-3834	66	1	let	let	VERB
cana-3834	66	2	𝑢	𝑢	NOUN
cana-3834	66	3	,	,	PUNCT
cana-3834	66	4	𝑣	𝑣	PRON
cana-3834	66	5	∈	∈	PROPN
cana-3834	66	6	𝑉	𝑉	PROPN
cana-3834	66	7	and	and	CCONJ
cana-3834	66	8	we	we	PRON
cana-3834	66	9	say	say	VERB
cana-3834	66	10	that	that	SCONJ
cana-3834	66	11	𝑢	𝑢	PRON
cana-3834	66	12	dominates	dominate	VERB
cana-3834	66	13	𝑣	𝑣	X
cana-3834	66	14	in	in	ADP
cana-3834	66	15	𝐺	𝐺	NOUN
cana-3834	66	16	if	if	SCONJ
cana-3834	66	17	µ(𝑢	µ(𝑢	NOUN
cana-3834	66	18	,	,	PUNCT
cana-3834	66	19	𝑣	𝑣	NOUN
cana-3834	66	20	)	)	PUNCT
cana-3834	66	21	=	=	SYM
cana-3834	66	22	𝜎(𝑢	𝜎(𝑢	PROPN
cana-3834	66	23	)	)	PUNCT
cana-3834	66	24	∨	∨	PROPN
cana-3834	66	25	𝜎(𝑢	𝜎(𝑢	PROPN
cana-3834	66	26	)	)	PUNCT
cana-3834	66	27	.	.	PUNCT
cana-3834	67	1	a	a	DET
cana-3834	67	2	subset	subset	ADJ
cana-3834	67	3	𝑆	𝑆	PROPN
cana-3834	67	4	of	of	ADP
cana-3834	67	5	𝑉	𝑉	PROPN
cana-3834	67	6	is	be	AUX
cana-3834	67	7	called	call	VERB
cana-3834	67	8	dominance	dominance	NOUN
cana-3834	67	9	set	set	VERB
cana-3834	67	10	in	in	ADP
cana-3834	67	11	𝐺	𝐺	PROPN
cana-3834	67	12	if	if	SCONJ
cana-3834	67	13	for	for	ADP
cana-3834	67	14	every	every	DET
cana-3834	67	15	𝑣	𝑣	DET
cana-3834	67	16	∈	∈	PROPN
cana-3834	67	17	𝑉	𝑉	PROPN
cana-3834	67	18	−	−	PROPN
cana-3834	67	19	𝑆	𝑆	PROPN
cana-3834	67	20	there	there	PRON
cana-3834	67	21	exist	exist	VERB
cana-3834	67	22	u	u	NOUN
cana-3834	67	23	∈s	∈s	NOUN
cana-3834	67	24	such	such	ADJ
cana-3834	67	25	that	that	SCONJ
cana-3834	67	26	𝑢	𝑢	PROPN
cana-3834	67	27	dominates	dominate	VERB
cana-3834	67	28	𝑣.	𝑣.	ADV
cana-3834	67	29	the	the	DET
cana-3834	67	30	minimum	minimum	ADJ
cana-3834	67	31	fuzzy	fuzzy	ADJ
cana-3834	67	32	cardinality	cardinality	NOUN
cana-3834	67	33	of	of	ADP
cana-3834	67	34	a	a	DET
cana-3834	67	35	dominating	dominating	NOUN
cana-3834	67	36	set	set	NOUN
cana-3834	67	37	in	in	ADP
cana-3834	67	38	𝐺	𝐺	PROPN
cana-3834	67	39	is	be	AUX
cana-3834	67	40	called	call	VERB
cana-3834	67	41	the	the	DET
cana-3834	67	42	dominance	dominance	NOUN
cana-3834	67	43	number	number	NOUN
cana-3834	67	44	of	of	ADP
cana-3834	67	45	𝐺	𝐺	PROPN
cana-3834	67	46	and	and	CCONJ
cana-3834	67	47	is	be	AUX
cana-3834	67	48	denoted	denote	VERB
cana-3834	67	49	by	by	ADP
cana-3834	67	50	𝛾(𝐺	𝛾(𝐺	PROPN
cana-3834	67	51	)	)	PUNCT
cana-3834	67	52	definition	definition	NOUN
cana-3834	67	53	2.10	2.10	NUM
cana-3834	67	54	(	(	PUNCT
cana-3834	67	55	18	18	NUM
cana-3834	67	56	)	)	PUNCT
cana-3834	67	57	.	.	PUNCT
cana-3834	68	1	a	a	DET
cana-3834	68	2	dominating	dominating	NOUN
cana-3834	68	3	set	set	VERB
cana-3834	68	4	𝐷	𝐷	PROPN
cana-3834	68	5	⊆	⊆	PROPN
cana-3834	68	6	𝑉	𝑉	PROPN
cana-3834	68	7	of	of	ADP
cana-3834	68	8	a	a	DET
cana-3834	68	9	fuzzy	fuzzy	ADJ
cana-3834	68	10	graph	graph	NOUN
cana-3834	68	11	g	g	NOUN
cana-3834	68	12	is	be	AUX
cana-3834	68	13	said	say	VERB
cana-3834	68	14	to	to	PART
cana-3834	68	15	be	be	AUX
cana-3834	68	16	a	a	DET
cana-3834	68	17	point	point	NOUN
cana-3834	68	18	set	set	VERB
cana-3834	68	19	dominating	dominating	NOUN
cana-3834	68	20	set	set	NOUN
cana-3834	68	21	of	of	ADP
cana-3834	68	22	𝐺	𝐺	PROPN
cana-3834	68	23	if	if	SCONJ
cana-3834	68	24	for	for	ADP
cana-3834	68	25	every	every	DET
cana-3834	68	26	𝑆	𝑆	PROPN
cana-3834	68	27	⊆	⊆	NUM
cana-3834	68	28	𝑉	𝑉	PROPN
cana-3834	68	29	−	−	PROPN
cana-3834	68	30	𝐷	𝐷	PROPN
cana-3834	68	31	there	there	PRON
cana-3834	68	32	exist	exist	VERB
cana-3834	68	33	a	a	DET
cana-3834	68	34	node	node	NOUN
cana-3834	68	35	𝑑	𝑑	PROPN
cana-3834	68	36	∈	∈	PROPN
cana-3834	68	37	𝐷	𝐷	NOUN
cana-3834	68	38	such	such	ADJ
cana-3834	68	39	that	that	SCONJ
cana-3834	68	40	<	<	X
cana-3834	68	41	𝑆	𝑆	PROPN
cana-3834	68	42	∪	∪	X
cana-3834	68	43	{	{	PUNCT
cana-3834	68	44	𝑑	𝑑	NOUN
cana-3834	68	45	}	}	PUNCT
cana-3834	68	46	>	>	X
cana-3834	68	47	is	be	AUX
cana-3834	68	48	a	a	DET
cana-3834	68	49	connected	connected	ADJ
cana-3834	68	50	fuzzy	fuzzy	ADJ
cana-3834	68	51	graph	graph	NOUN
cana-3834	68	52	.	.	PUNCT
cana-3834	69	1	the	the	DET
cana-3834	69	2	minimum	minimum	ADJ
cana-3834	69	3	cardinality	cardinality	NOUN
cana-3834	69	4	taken	take	VERB
cana-3834	69	5	over	over	ADP
cana-3834	69	6	all	all	DET
cana-3834	69	7	minimal	minimal	ADJ
cana-3834	69	8	connected	connected	ADJ
cana-3834	69	9	point	point	NOUN
cana-3834	69	10	set	set	NOUN
cana-3834	69	11	is	be	AUX
cana-3834	69	12	called	call	VERB
cana-3834	69	13	the	the	DET
cana-3834	69	14	point	point	NOUN
cana-3834	69	15	set	set	VERB
cana-3834	69	16	domination	domination	NOUN
cana-3834	69	17	number	number	NOUN
cana-3834	69	18	of	of	ADP
cana-3834	69	19	the	the	DET
cana-3834	69	20	fuzzy	fuzzy	ADJ
cana-3834	69	21	graph	graph	NOUN
cana-3834	69	22	𝐺	𝐺	NOUN
cana-3834	69	23	and	and	CCONJ
cana-3834	69	24	it	it	PRON
cana-3834	69	25	is	be	AUX
cana-3834	69	26	denoted	denote	VERB
cana-3834	69	27	by	by	ADP
cana-3834	69	28	𝛾𝑝(𝐺	𝛾𝑝(𝐺	PROPN
cana-3834	69	29	)	)	PUNCT
cana-3834	69	30	communications	communication	NOUN
cana-3834	69	31	on	on	ADP
cana-3834	69	32	applied	apply	VERB
cana-3834	69	33	nonlinear	nonlinear	ADJ
cana-3834	69	34	analysis	analysis	NOUN
cana-3834	69	35	issn	issn	NOUN
cana-3834	69	36	:	:	PUNCT
cana-3834	69	37	1074	1074	NUM
cana-3834	69	38	-	-	PUNCT
cana-3834	69	39	133x	133x	NUM
cana-3834	69	40	vol	vol	NOUN
cana-3834	69	41	32	32	NUM
cana-3834	69	42	no	no	NOUN
cana-3834	69	43	.	.	PUNCT
cana-3834	70	1	9s	9s	NUM
cana-3834	70	2	(	(	PUNCT
cana-3834	70	3	2025	2025	NUM
cana-3834	70	4	)	)	PUNCT
cana-3834	70	5	20	20	NUM
cana-3834	70	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3834	70	7	definition	definition	NOUN
cana-3834	70	8	2.11	2.11	NUM
cana-3834	70	9	(	(	PUNCT
cana-3834	70	10	18	18	NUM
cana-3834	70	11	)	)	PUNCT
cana-3834	70	12	.	.	PUNCT
cana-3834	71	1	a	a	DET
cana-3834	71	2	point	point	NOUN
cana-3834	71	3	set	set	VERB
cana-3834	71	4	dominating	dominating	NOUN
cana-3834	71	5	set	set	VERB
cana-3834	71	6	𝐷	𝐷	PROPN
cana-3834	71	7	⊆	⊆	PROPN
cana-3834	71	8	𝑉	𝑉	PROPN
cana-3834	71	9	of	of	ADP
cana-3834	71	10	any	any	DET
cana-3834	71	11	fuzzy	fuzzy	ADJ
cana-3834	71	12	graph	graph	NOUN
cana-3834	71	13	g	g	PROPN
cana-3834	71	14	is	be	AUX
cana-3834	71	15	a	a	DET
cana-3834	71	16	connected	connected	ADJ
cana-3834	71	17	point	point	NOUN
cana-3834	71	18	set	set	VERB
cana-3834	71	19	dominating	dominating	NOUN
cana-3834	71	20	set	set	NOUN
cana-3834	71	21	of	of	ADP
cana-3834	71	22	𝐺	𝐺	PROPN
cana-3834	71	23	if	if	SCONJ
cana-3834	71	24	the	the	DET
cana-3834	71	25	subgraph	subgraph	NOUN
cana-3834	71	26	<	<	X
cana-3834	71	27	𝐷	𝐷	PROPN
cana-3834	71	28	>	>	X
cana-3834	71	29	induced	induce	VERB
cana-3834	71	30	by	by	ADP
cana-3834	71	31	𝐷	𝐷	PROPN
cana-3834	71	32	is	be	AUX
cana-3834	71	33	a	a	DET
cana-3834	71	34	connected	connected	ADJ
cana-3834	71	35	fuzzy	fuzzy	ADJ
cana-3834	71	36	graph	graph	NOUN
cana-3834	71	37	.	.	PUNCT
cana-3834	72	1	the	the	DET
cana-3834	72	2	minimum	minimum	ADJ
cana-3834	72	3	cardinality	cardinality	NOUN
cana-3834	72	4	taken	take	VERB
cana-3834	72	5	over	over	ADP
cana-3834	72	6	all	all	DET
cana-3834	72	7	minimal	minimal	ADJ
cana-3834	72	8	connected	connected	ADJ
cana-3834	72	9	point	point	NOUN
cana-3834	72	10	set	set	VERB
cana-3834	72	11	dominating	dominating	NOUN
cana-3834	72	12	set	set	NOUN
cana-3834	72	13	is	be	AUX
cana-3834	72	14	called	call	VERB
cana-3834	72	15	the	the	DET
cana-3834	72	16	connected	connected	ADJ
cana-3834	72	17	point	point	NOUN
cana-3834	72	18	set	set	VERB
cana-3834	72	19	domination	domination	NOUN
cana-3834	72	20	number	number	NOUN
cana-3834	72	21	𝛾𝑐𝑝(𝐺	𝛾𝑐𝑝(𝐺	NOUN
cana-3834	72	22	)	)	PUNCT
cana-3834	72	23	.	.	PUNCT
cana-3834	73	1	definition	definition	NOUN
cana-3834	73	2	2.12	2.12	NUM
cana-3834	73	3	(	(	PUNCT
cana-3834	73	4	16	16	NUM
cana-3834	73	5	)	)	PUNCT
cana-3834	73	6	.	.	PUNCT
cana-3834	74	1	let	let	VERB
cana-3834	74	2	𝐺	𝐺	PROPN
cana-3834	74	3	=	=	SYM
cana-3834	74	4	(	(	PUNCT
cana-3834	74	5	𝑋	𝑋	PROPN
cana-3834	74	6	,	,	PUNCT
cana-3834	74	7	𝑌	𝑌	PROPN
cana-3834	74	8	)	)	PUNCT
cana-3834	74	9	be	be	VERB
cana-3834	74	10	a	a	DET
cana-3834	74	11	single	single	ADJ
cana-3834	74	12	valued	value	VERB
cana-3834	74	13	neutrosophic	neutrosophic	ADJ
cana-3834	74	14	network.consider	network.consider	NUM
cana-3834	74	15	a	a	DET
cana-3834	74	16	subset	subset	ADJ
cana-3834	74	17	𝑆	𝑆	PROPN
cana-3834	74	18	of	of	ADP
cana-3834	74	19	𝑉	𝑉	PROPN
cana-3834	74	20	such	such	ADJ
cana-3834	74	21	that	that	SCONJ
cana-3834	74	22	𝑢	𝑢	PROPN
cana-3834	74	23	∈	∈	PROPN
cana-3834	74	24	𝑆	𝑆	PROPN
cana-3834	74	25	dominating	dominating	NOUN
cana-3834	74	26	v	v	NOUN
cana-3834	74	27	for	for	ADP
cana-3834	74	28	every	every	DET
cana-3834	74	29	𝑣	𝑣	PROPN
cana-3834	74	30	∈	∈	PROPN
cana-3834	74	31	𝑉	𝑉	PROPN
cana-3834	74	32	−	−	PROPN
cana-3834	74	33	𝑆	𝑆	PROPN
cana-3834	74	34	,	,	PUNCT
cana-3834	74	35	then	then	ADV
cana-3834	74	36	that	that	DET
cana-3834	74	37	subset	subset	NOUN
cana-3834	74	38	is	be	AUX
cana-3834	74	39	known	know	VERB
cana-3834	74	40	to	to	PART
cana-3834	74	41	be	be	AUX
cana-3834	74	42	a	a	DET
cana-3834	74	43	neutrosophic	neutrosophic	ADJ
cana-3834	74	44	dominance	dominance	NOUN
cana-3834	74	45	set	set	VERB
cana-3834	74	46	in	in	ADP
cana-3834	74	47	g	g	PROPN
cana-3834	74	48	is	be	AUX
cana-3834	74	49	given	give	VERB
cana-3834	74	50	by	by	ADP
cana-3834	74	51	𝛾𝑛𝑑(𝐺	𝛾𝑛𝑑(𝐺	NOUN
cana-3834	74	52	)	)	PUNCT
cana-3834	74	53	.	.	PUNCT
cana-3834	75	1	3	3	X
cana-3834	75	2	.	.	NOUN
cana-3834	75	3	point	point	NOUN
cana-3834	75	4	set	set	VERB
cana-3834	75	5	domination	domination	NOUN
cana-3834	75	6	in	in	ADP
cana-3834	75	7	neutrosophic	neutrosophic	ADJ
cana-3834	75	8	graph	graph	NOUN
cana-3834	75	9	in	in	ADP
cana-3834	75	10	this	this	DET
cana-3834	75	11	paper	paper	NOUN
cana-3834	75	12	we	we	PRON
cana-3834	75	13	use	use	VERB
cana-3834	75	14	some	some	DET
cana-3834	75	15	basic	basic	ADJ
cana-3834	75	16	notation	notation	NOUN
cana-3834	75	17	,	,	PUNCT
cana-3834	75	18	𝐺	𝐺	NOUN
cana-3834	75	19	=	=	SYM
cana-3834	75	20	(	(	PUNCT
cana-3834	75	21	𝑋	𝑋	PROPN
cana-3834	75	22	,	,	PUNCT
cana-3834	75	23	𝑌	𝑌	PROPN
cana-3834	75	24	)	)	PUNCT
cana-3834	75	25	is	be	AUX
cana-3834	75	26	neutrosophic	neutrosophic	ADJ
cana-3834	75	27	network	network	NOUN
cana-3834	75	28	or	or	CCONJ
cana-3834	75	29	graph	graph	NOUN
cana-3834	75	30	,	,	PUNCT
cana-3834	75	31	𝑋	𝑋	PROPN
cana-3834	75	32	be	be	VERB
cana-3834	75	33	a	a	DET
cana-3834	75	34	vertex	vertex	NOUN
cana-3834	75	35	set	set	NOUN
cana-3834	75	36	,	,	PUNCT
cana-3834	75	37	𝑌	𝑌	PROPN
cana-3834	75	38	be	be	VERB
cana-3834	75	39	a	a	DET
cana-3834	75	40	edge	edge	NOUN
cana-3834	75	41	set	set	NOUN
cana-3834	75	42	,	,	PUNCT
cana-3834	75	43	𝑇𝑋(𝑣	𝑇𝑋(𝑣	PROPN
cana-3834	75	44	)	)	PUNCT
cana-3834	75	45	,	,	PUNCT
cana-3834	75	46	𝐼𝑋(𝑣	𝐼𝑋(𝑣	ADJ
cana-3834	75	47	)	)	PUNCT
cana-3834	75	48	𝐹𝑋(𝑣	𝐹𝑋(𝑣	PROPN
cana-3834	75	49	)	)	PUNCT
cana-3834	75	50	be	be	VERB
cana-3834	75	51	truth	truth	NOUN
cana-3834	75	52	,	,	PUNCT
cana-3834	75	53	indeterminacy	indeterminacy	NOUN
cana-3834	75	54	and	and	CCONJ
cana-3834	75	55	falsity	falsity	NOUN
cana-3834	75	56	membership	membership	NOUN
cana-3834	75	57	values	value	NOUN
cana-3834	75	58	of	of	ADP
cana-3834	75	59	vertices	vertex	NOUN
cana-3834	75	60	in	in	ADP
cana-3834	75	61	graph	graph	NOUN
cana-3834	75	62	𝐺.	𝐺.	PROPN
cana-3834	75	63	𝑇𝑌	𝑇𝑌	PROPN
cana-3834	75	64	(	(	PUNCT
cana-3834	75	65	u	u	NOUN
cana-3834	75	66	,	,	PUNCT
cana-3834	75	67	v	v	NOUN
cana-3834	75	68	)	)	PUNCT
cana-3834	75	69	,	,	PUNCT
cana-3834	75	70	,	,	PUNCT
cana-3834	75	71	𝐼𝑌	𝐼𝑌	PROPN
cana-3834	75	72	(	(	PUNCT
cana-3834	75	73	u	u	NOUN
cana-3834	75	74	,	,	PUNCT
cana-3834	75	75	v	v	NOUN
cana-3834	75	76	)	)	PUNCT
cana-3834	75	77	,	,	PUNCT
cana-3834	75	78	,	,	PUNCT
cana-3834	75	79	𝐹𝑌	𝐹𝑌	PROPN
cana-3834	75	80	(	(	PUNCT
cana-3834	75	81	u	u	NOUN
cana-3834	75	82	,	,	PUNCT
cana-3834	75	83	v	v	NOUN
cana-3834	75	84	)	)	PUNCT
cana-3834	75	85	is	be	AUX
cana-3834	75	86	truth	truth	NOUN
cana-3834	75	87	,	,	PUNCT
cana-3834	75	88	indeterminacy	indeterminacy	NOUN
cana-3834	75	89	and	and	CCONJ
cana-3834	75	90	falsity	falsity	NOUN
cana-3834	75	91	membership	membership	NOUN
cana-3834	75	92	value	value	NOUN
cana-3834	75	93	of	of	ADP
cana-3834	75	94	the	the	DET
cana-3834	75	95	edge	edge	NOUN
cana-3834	75	96	(	(	PUNCT
cana-3834	75	97	𝑢	𝑢	X
cana-3834	75	98	,	,	PUNCT
cana-3834	75	99	𝑣	𝑣	NOUN
cana-3834	75	100	)	)	PUNCT
cana-3834	75	101	of	of	ADP
cana-3834	75	102	𝐺.	𝐺.	NOUN
cana-3834	75	103	definition	definition	NOUN
cana-3834	75	104	3.1	3.1	NUM
cana-3834	75	105	.	.	PUNCT
cana-3834	76	1	let	let	VERB
cana-3834	76	2	𝐺	𝐺	PROPN
cana-3834	76	3	=	=	SYM
cana-3834	76	4	(	(	PUNCT
cana-3834	76	5	𝑋	𝑋	PROPN
cana-3834	76	6	,	,	PUNCT
cana-3834	76	7	𝑌	𝑌	PROPN
cana-3834	76	8	)	)	PUNCT
cana-3834	76	9	be	be	VERB
cana-3834	76	10	a	a	DET
cana-3834	76	11	single	single	ADJ
cana-3834	76	12	valued	value	VERB
cana-3834	76	13	neutrosophic	neutrosophic	ADJ
cana-3834	76	14	network	network	NOUN
cana-3834	76	15	,	,	PUNCT
cana-3834	76	16	if	if	SCONJ
cana-3834	76	17	for	for	ADP
cana-3834	76	18	every	every	DET
cana-3834	76	19	𝐴	𝐴	PROPN
cana-3834	76	20	⊆	⊆	NUM
cana-3834	76	21	𝑋	𝑋	PROPN
cana-3834	76	22	−	−	PROPN
cana-3834	76	23	𝐵	𝐵	PROPN
cana-3834	76	24	there	there	ADV
cana-3834	76	25	exist	exist	VERB
cana-3834	76	26	a	a	DET
cana-3834	76	27	vertices	vertex	NOUN
cana-3834	76	28	𝑏	𝑏	PRON
cana-3834	76	29	∈	∈	PROPN
cana-3834	76	30	𝐵	𝐵	NOUN
cana-3834	76	31	such	such	ADJ
cana-3834	76	32	that	that	SCONJ
cana-3834	76	33	<	<	X
cana-3834	76	34	𝐴	𝐴	PROPN
cana-3834	76	35	∪	∪	VERB
cana-3834	76	36	{	{	PUNCT
cana-3834	76	37	𝑏	𝑏	NOUN
cana-3834	76	38	}	}	PUNCT
cana-3834	76	39	>	>	X
cana-3834	76	40	is	be	AUX
cana-3834	76	41	connected	connect	VERB
cana-3834	76	42	neutrosophic	neutrosophic	ADJ
cana-3834	76	43	set	set	NOUN
cana-3834	76	44	in	in	ADP
cana-3834	76	45	g	g	PROPN
cana-3834	76	46	then	then	ADV
cana-3834	76	47	the	the	DET
cana-3834	76	48	subset	subset	ADJ
cana-3834	76	49	𝐵	𝐵	PROPN
cana-3834	76	50	⊆	⊆	PROPN
cana-3834	76	51	𝑋	𝑋	PROPN
cana-3834	76	52	is	be	AUX
cana-3834	76	53	called	call	VERB
cana-3834	76	54	point	point	NOUN
cana-3834	76	55	set	set	VERB
cana-3834	77	1	neutrosophic	neutrosophic	ADJ
cana-3834	77	2	dominance	dominance	NOUN
cana-3834	77	3	set	set	NOUN
cana-3834	77	4	(	(	PUNCT
cana-3834	77	5	𝐷𝑝𝑠𝑛	𝐷𝑝𝑠𝑛	PROPN
cana-3834	77	6	)	)	PUNCT
cana-3834	77	7	.	.	PUNCT
cana-3834	78	1	point	point	NOUN
cana-3834	78	2	set	set	VERB
cana-3834	78	3	domination	domination	NOUN
cana-3834	78	4	number	number	NOUN
cana-3834	78	5	of	of	ADP
cana-3834	78	6	𝐺	𝐺	PROPN
cana-3834	78	7	is	be	AUX
cana-3834	78	8	the	the	DET
cana-3834	78	9	number	number	NOUN
cana-3834	78	10	with	with	ADP
cana-3834	78	11	the	the	DET
cana-3834	78	12	minimum	minimum	ADJ
cana-3834	78	13	vertex	vertex	NOUN
cana-3834	78	14	cardinality	cardinality	NOUN
cana-3834	78	15	in	in	ADP
cana-3834	78	16	all	all	DET
cana-3834	78	17	point	point	NOUN
cana-3834	78	18	set	set	VERB
cana-3834	78	19	domination	domination	NOUN
cana-3834	78	20	set	set	NOUN
cana-3834	78	21	of	of	ADP
cana-3834	78	22	𝐺	𝐺	PROPN
cana-3834	78	23	and	and	CCONJ
cana-3834	78	24	it	it	PRON
cana-3834	78	25	is	be	AUX
cana-3834	78	26	denoted	denote	VERB
cana-3834	78	27	by	by	ADP
cana-3834	78	28	𝛾𝑝𝑛𝑑(𝐺	𝛾𝑝𝑛𝑑(𝐺	PROPN
cana-3834	78	29	)	)	PUNCT
cana-3834	78	30	.	.	PUNCT
cana-3834	79	1	figure	figure	VERB
cana-3834	79	2	1	1	NUM
cana-3834	79	3	:	:	PUNCT
cana-3834	79	4	𝐷𝑝𝑠𝑛	𝐷𝑝𝑠𝑛	PROPN
cana-3834	79	5	=	=	SYM
cana-3834	79	6	{	{	PUNCT
cana-3834	79	7	𝑏	𝑏	NOUN
cana-3834	79	8	,	,	PUNCT
cana-3834	79	9	𝑒	𝑒	ADJ
cana-3834	79	10	}	}	PUNCT
cana-3834	79	11	,	,	PUNCT
cana-3834	79	12	{	{	PUNCT
cana-3834	79	13	𝑎	𝑎	X
cana-3834	79	14	,	,	PUNCT
cana-3834	79	15	𝑑	𝑑	NOUN
cana-3834	79	16	,	,	PUNCT
cana-3834	79	17	𝑐	𝑐	NOUN
cana-3834	79	18	}	}	PUNCT
cana-3834	79	19	,	,	PUNCT
cana-3834	79	20	{	{	PUNCT
cana-3834	79	21	𝑑	𝑑	NOUN
cana-3834	79	22	,	,	PUNCT
cana-3834	79	23	𝑐	𝑐	NOUN
cana-3834	79	24	}	}	PUNCT
cana-3834	79	25	,	,	PUNCT
cana-3834	79	26	{	{	PUNCT
cana-3834	79	27	𝑏	𝑏	NOUN
cana-3834	79	28	,	,	PUNCT
cana-3834	79	29	𝑑	𝑑	NOUN
cana-3834	79	30	,	,	PUNCT
cana-3834	79	31	𝑒	𝑒	ADJ
cana-3834	79	32	}	}	PUNCT
cana-3834	79	33	,	,	PUNCT
cana-3834	79	34	{	{	PUNCT
cana-3834	79	35	𝑎	𝑎	X
cana-3834	79	36	,	,	PUNCT
cana-3834	79	37	𝑏	𝑏	NOUN
cana-3834	79	38	,	,	PUNCT
cana-3834	79	39	𝑐	𝑐	NOUN
cana-3834	79	40	,	,	PUNCT
cana-3834	79	41	𝑑	𝑑	NOUN
cana-3834	79	42	}	}	PUNCT
cana-3834	79	43	are	be	AUX
cana-3834	79	44	few	few	ADJ
cana-3834	79	45	points	point	NOUN
cana-3834	79	46	set	set	VERB
cana-3834	79	47	neutrosophic	neutrosophic	ADJ
cana-3834	79	48	domination	domination	NOUN
cana-3834	79	49	&	&	CCONJ
cana-3834	79	50	𝛾𝑝𝑛𝑑(𝐺	𝛾𝑝𝑛𝑑(𝐺	PROPN
cana-3834	79	51	)	)	PUNCT
cana-3834	79	52	=	=	SYM
cana-3834	79	53	1.65	1.65	NUM
cana-3834	79	54	definition	definition	NOUN
cana-3834	79	55	3.2	3.2	NUM
cana-3834	79	56	.	.	PUNCT
cana-3834	80	1	let	let	VERB
cana-3834	80	2	𝐺	𝐺	PROPN
cana-3834	80	3	=	=	SYM
cana-3834	80	4	(	(	PUNCT
cana-3834	80	5	𝑋	𝑋	PROPN
cana-3834	80	6	,	,	PUNCT
cana-3834	80	7	𝑌	𝑌	PROPN
cana-3834	80	8	)	)	PUNCT
cana-3834	80	9	be	be	AUX
cana-3834	80	10	a	a	DET
cana-3834	80	11	single	single	ADJ
cana-3834	80	12	valued	value	VERB
cana-3834	80	13	neutrosophic	neutrosophic	ADJ
cana-3834	80	14	network	network	NOUN
cana-3834	80	15	,	,	PUNCT
cana-3834	80	16	if	if	SCONJ
cana-3834	80	17	the	the	DET
cana-3834	80	18	subset	subset	NOUN
cana-3834	80	19	<	<	X
cana-3834	80	20	𝐵	𝐵	PROPN
cana-3834	80	21	>	>	X
cana-3834	80	22	induced	induce	VERB
cana-3834	80	23	by	by	ADP
cana-3834	80	24	b	b	PROPN
cana-3834	80	25	is	be	AUX
cana-3834	80	26	a	a	DET
cana-3834	80	27	connected	connected	ADJ
cana-3834	80	28	neutrosophic	neutrosophic	ADJ
cana-3834	80	29	graph	graph	NOUN
cana-3834	80	30	then	then	ADV
cana-3834	80	31	the	the	DET
cana-3834	80	32	point	point	NOUN
cana-3834	80	33	set	set	VERB
cana-3834	80	34	domination	domination	NOUN
cana-3834	80	35	𝐵	𝐵	PROPN
cana-3834	80	36	⊆	⊆	NUM
cana-3834	80	37	𝑋(𝐺	𝑋(𝐺	NOUN
cana-3834	80	38	)	)	PUNCT
cana-3834	80	39	of	of	ADP
cana-3834	80	40	any	any	DET
cana-3834	80	41	neutrosophic	neutrosophic	ADJ
cana-3834	80	42	graph	graph	NOUN
cana-3834	80	43	𝐺	𝐺	PROPN
cana-3834	80	44	is	be	AUX
cana-3834	80	45	connected	connect	VERB
cana-3834	80	46	point	point	NOUN
cana-3834	80	47	set	set	VERB
cana-3834	80	48	domination	domination	NOUN
cana-3834	80	49	set	set	NOUN
cana-3834	80	50	(	(	PUNCT
cana-3834	80	51	𝐷𝑐𝑝𝑠𝑛	𝐷𝑐𝑝𝑠𝑛	PROPN
cana-3834	80	52	)	)	PUNCT
cana-3834	80	53	.	.	PUNCT
cana-3834	81	1	connected	connected	ADJ
cana-3834	81	2	point	point	NOUN
cana-3834	81	3	set	set	VERB
cana-3834	81	4	domination	domination	NOUN
cana-3834	81	5	number	number	NOUN
cana-3834	81	6	of	of	ADP
cana-3834	81	7	𝐺	𝐺	PROPN
cana-3834	81	8	is	be	AUX
cana-3834	81	9	the	the	DET
cana-3834	81	10	number	number	NOUN
cana-3834	81	11	with	with	ADP
cana-3834	81	12	the	the	DET
cana-3834	81	13	minimum	minimum	ADJ
cana-3834	81	14	vertex	vertex	NOUN
cana-3834	81	15	cardinality	cardinality	NOUN
cana-3834	81	16	in	in	ADP
cana-3834	81	17	all	all	PRON
cana-3834	82	1	connected	connected	ADJ
cana-3834	82	2	point	point	NOUN
cana-3834	82	3	set	set	VERB
cana-3834	82	4	domination	domination	NOUN
cana-3834	82	5	set	set	NOUN
cana-3834	82	6	of	of	ADP
cana-3834	82	7	𝐺	𝐺	PROPN
cana-3834	82	8	and	and	CCONJ
cana-3834	82	9	it	it	PRON
cana-3834	82	10	is	be	AUX
cana-3834	82	11	denoted	denote	VERB
cana-3834	82	12	by	by	ADP
cana-3834	82	13	𝛾𝑐𝑝𝑛𝑑(𝐺	𝛾𝑐𝑝𝑛𝑑(𝐺	NOUN
cana-3834	82	14	)	)	PUNCT
cana-3834	82	15	.	.	PUNCT
cana-3834	83	1	communications	communication	NOUN
cana-3834	83	2	on	on	ADP
cana-3834	83	3	applied	apply	VERB
cana-3834	83	4	nonlinear	nonlinear	ADJ
cana-3834	83	5	analysis	analysis	NOUN
cana-3834	83	6	issn	issn	NOUN
cana-3834	83	7	:	:	PUNCT
cana-3834	83	8	1074	1074	NUM
cana-3834	83	9	-	-	PUNCT
cana-3834	83	10	133x	133x	NUM
cana-3834	83	11	vol	vol	NOUN
cana-3834	83	12	32	32	NUM
cana-3834	83	13	no	no	NOUN
cana-3834	83	14	.	.	PUNCT
cana-3834	84	1	9s	9s	NUM
cana-3834	84	2	(	(	PUNCT
cana-3834	84	3	2025	2025	NUM
cana-3834	84	4	)	)	PUNCT
cana-3834	84	5	21	21	NUM
cana-3834	84	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3834	84	7	figure	figure	NOUN
cana-3834	84	8	2	2	NUM
cana-3834	84	9	:	:	PUNCT
cana-3834	84	10	𝐷𝑐𝑝𝑠𝑛	𝐷𝑐𝑝𝑠𝑛	PROPN
cana-3834	84	11	=	=	SYM
cana-3834	84	12	{	{	PUNCT
cana-3834	84	13	𝑏	𝑏	NOUN
cana-3834	84	14	,	,	PUNCT
cana-3834	84	15	𝑐	𝑐	PROPN
cana-3834	84	16	,	,	PUNCT
cana-3834	84	17	𝑑	𝑑	NOUN
cana-3834	84	18	,	,	PUNCT
cana-3834	84	19	𝑒	𝑒	X
cana-3834	84	20	,	,	PUNCT
cana-3834	84	21	𝑓	𝑓	X
cana-3834	84	22	}	}	PUNCT
cana-3834	84	23	,	,	PUNCT
cana-3834	84	24	{	{	PUNCT
cana-3834	84	25	𝑏	𝑏	NOUN
cana-3834	84	26	,	,	PUNCT
cana-3834	84	27	𝑓	𝑓	PROPN
cana-3834	84	28	,	,	PUNCT
cana-3834	84	29	𝑔	𝑔	NOUN
cana-3834	84	30	,	,	PUNCT
cana-3834	84	31	𝑖	𝑖	SYM
cana-3834	84	32	,	,	PUNCT
cana-3834	84	33	𝑑	𝑑	NOUN
cana-3834	84	34	,	,	PUNCT
cana-3834	84	35	𝑐	𝑐	NOUN
cana-3834	84	36	}	}	PUNCT
cana-3834	84	37	,	,	PUNCT
cana-3834	84	38	{	{	PUNCT
cana-3834	84	39	𝑏	𝑏	NOUN
cana-3834	84	40	,	,	PUNCT
cana-3834	84	41	𝑖	𝑖	SYM
cana-3834	84	42	,	,	PUNCT
cana-3834	84	43	𝑑	𝑑	NOUN
cana-3834	84	44	,	,	PUNCT
cana-3834	84	45	𝑒	𝑒	PROPN
cana-3834	84	46	,	,	PUNCT
cana-3834	84	47	𝑓	𝑓	PRON
cana-3834	84	48	}	}	PUNCT
cana-3834	84	49	are	be	AUX
cana-3834	84	50	few	few	ADJ
cana-3834	84	51	connected	connected	ADJ
cana-3834	84	52	point	point	NOUN
cana-3834	84	53	set	set	VERB
cana-3834	84	54	neutrosophic	neutrosophic	ADJ
cana-3834	84	55	domination	domination	NOUN
cana-3834	84	56	&	&	CCONJ
cana-3834	84	57	𝛾𝑐𝑝𝑛𝑑(𝐺	𝛾𝑐𝑝𝑛𝑑(𝐺	PROPN
cana-3834	84	58	)	)	PUNCT
cana-3834	84	59	=	=	SYM
cana-3834	84	60	3.65	3.65	NUM
cana-3834	84	61	definition	definition	NOUN
cana-3834	84	62	3.3	3.3	NUM
cana-3834	84	63	.	.	PUNCT
cana-3834	85	1	let	let	VERB
cana-3834	85	2	𝐺	𝐺	PROPN
cana-3834	85	3	=	=	SYM
cana-3834	85	4	(	(	PUNCT
cana-3834	85	5	𝑋	𝑋	PROPN
cana-3834	85	6	,	,	PUNCT
cana-3834	85	7	𝑌	𝑌	PROPN
cana-3834	85	8	)	)	PUNCT
cana-3834	85	9	be	be	VERB
cana-3834	85	10	single	single	ADJ
cana-3834	85	11	valued	value	VERB
cana-3834	85	12	neutrosophic	neutrosophic	ADJ
cana-3834	85	13	network	network	NOUN
cana-3834	85	14	,	,	PUNCT
cana-3834	85	15	a	a	DET
cana-3834	85	16	set	set	NOUN
cana-3834	85	17	𝐵	𝐵	PROPN
cana-3834	85	18	⊆	⊆	NUM
cana-3834	85	19	𝑋(𝐺	𝑋(𝐺	NOUN
cana-3834	85	20	)	)	PUNCT
cana-3834	85	21	is	be	AUX
cana-3834	85	22	called	call	VERB
cana-3834	85	23	2	2	NUM
cana-3834	85	24	-	-	PUNCT
cana-3834	85	25	point	point	NOUN
cana-3834	85	26	set	set	VERB
cana-3834	85	27	neutrosophic	neutrosophic	ADJ
cana-3834	85	28	domination	domination	NOUN
cana-3834	85	29	set	set	NOUN
cana-3834	85	30	(	(	PUNCT
cana-3834	85	31	𝐷2𝑝𝑠𝑛	𝐷2𝑝𝑠𝑛	X
cana-3834	85	32	)	)	PUNCT
cana-3834	85	33	of	of	ADP
cana-3834	85	34	𝐺	𝐺	PROPN
cana-3834	85	35	if	if	SCONJ
cana-3834	85	36	for	for	ADP
cana-3834	85	37	every	every	DET
cana-3834	85	38	set	set	NOUN
cana-3834	86	1	𝑇	𝑇	PROPN
cana-3834	86	2	⊆	⊆	NUM
cana-3834	86	3	𝑋	𝑋	PROPN
cana-3834	86	4	−	−	PROPN
cana-3834	86	5	𝐵	𝐵	PROPN
cana-3834	86	6	there	there	PRON
cana-3834	86	7	exists	exist	VERB
cana-3834	86	8	a	a	DET
cana-3834	86	9	non	non	ADJ
cana-3834	86	10	-	-	ADJ
cana-3834	86	11	empty	empty	ADJ
cana-3834	86	12	set	set	VERB
cana-3834	86	13	𝑆	𝑆	PROPN
cana-3834	86	14	⊆	⊆	NUM
cana-3834	86	15	𝐵	𝐵	NOUN
cana-3834	86	16	containing	contain	VERB
cana-3834	86	17	at	at	ADP
cana-3834	86	18	-	-	PUNCT
cana-3834	86	19	most	most	ADJ
cana-3834	86	20	two	two	NUM
cana-3834	86	21	vertices	vertex	NOUN
cana-3834	86	22	such	such	ADJ
cana-3834	86	23	that	that	SCONJ
cana-3834	86	24	the	the	DET
cana-3834	86	25	induced	induced	ADJ
cana-3834	86	26	subgraph	subgraph	NOUN
cana-3834	86	27	<	<	X
cana-3834	86	28	𝑆	𝑆	PROPN
cana-3834	86	29	∪	∪	PROPN
cana-3834	86	30	𝑇	𝑇	PROPN
cana-3834	86	31	>	>	PUNCT
cana-3834	86	32	is	be	AUX
cana-3834	86	33	connected	connect	VERB
cana-3834	86	34	.	.	PUNCT
cana-3834	87	1	2	2	NUM
cana-3834	87	2	-	-	PUNCT
cana-3834	87	3	point	point	NOUN
cana-3834	87	4	set	set	VERB
cana-3834	87	5	neutrosophic	neutrosophic	ADJ
cana-3834	87	6	domination	domination	NOUN
cana-3834	87	7	number	number	NOUN
cana-3834	87	8	of	of	ADP
cana-3834	87	9	𝐺	𝐺	PROPN
cana-3834	87	10	is	be	AUX
cana-3834	87	11	the	the	DET
cana-3834	87	12	number	number	NOUN
cana-3834	87	13	with	with	ADP
cana-3834	87	14	theminimum	theminimum	ADJ
cana-3834	87	15	vertex	vertex	NOUN
cana-3834	87	16	cardinality	cardinality	NOUN
cana-3834	87	17	in	in	ADP
cana-3834	87	18	all	all	DET
cana-3834	87	19	2	2	NUM
cana-3834	87	20	-	-	PUNCT
cana-3834	87	21	point	point	NOUN
cana-3834	87	22	set	set	VERB
cana-3834	87	23	domination	domination	NOUN
cana-3834	87	24	set	set	NOUN
cana-3834	87	25	of	of	ADP
cana-3834	87	26	g	g	PROPN
cana-3834	87	27	and	and	CCONJ
cana-3834	87	28	it	it	PRON
cana-3834	87	29	is	be	AUX
cana-3834	87	30	denoted	denote	VERB
cana-3834	87	31	by	by	ADP
cana-3834	87	32	𝛾2𝑝𝑠𝑛𝑑(𝐺	𝛾2𝑝𝑠𝑛𝑑(𝐺	NOUN
cana-3834	87	33	)	)	PUNCT
cana-3834	87	34	.	.	PUNCT
cana-3834	88	1	figure	figure	VERB
cana-3834	88	2	3	3	NUM
cana-3834	88	3	:	:	PUNCT
cana-3834	88	4	𝐷2𝑝𝑠𝑛=	𝐷2𝑝𝑠𝑛=	PROPN
cana-3834	88	5	{	{	PUNCT
cana-3834	88	6	a	a	PROPN
cana-3834	88	7	,	,	PUNCT
cana-3834	88	8	f	f	X
cana-3834	88	9	,	,	PUNCT
cana-3834	88	10	g	g	PROPN
cana-3834	88	11	,	,	PUNCT
cana-3834	88	12	h	h	NOUN
cana-3834	88	13	}	}	PUNCT
cana-3834	88	14	,	,	PUNCT
cana-3834	88	15	{	{	PUNCT
cana-3834	88	16	b	b	X
cana-3834	88	17	,	,	PUNCT
cana-3834	88	18	f	f	PROPN
cana-3834	88	19	,	,	PUNCT
cana-3834	88	20	g	g	PROPN
cana-3834	88	21	,	,	PUNCT
cana-3834	88	22	h	h	NOUN
cana-3834	88	23	}	}	PUNCT
cana-3834	88	24	,	,	PUNCT
cana-3834	88	25	{	{	PUNCT
cana-3834	88	26	b	b	X
cana-3834	88	27	,	,	PUNCT
cana-3834	88	28	f	f	PROPN
cana-3834	88	29	,	,	PUNCT
cana-3834	88	30	d	d	PROPN
cana-3834	88	31	,	,	PUNCT
cana-3834	88	32	h	h	NOUN
cana-3834	88	33	}	}	PUNCT
cana-3834	88	34	,	,	PUNCT
cana-3834	88	35	{	{	PUNCT
cana-3834	88	36	b	b	X
cana-3834	88	37	,	,	PUNCT
cana-3834	88	38	f	f	PROPN
cana-3834	88	39	,	,	PUNCT
cana-3834	88	40	g	g	PROPN
cana-3834	88	41	,	,	PUNCT
cana-3834	88	42	i	i	PROPN
cana-3834	88	43	}	}	PUNCT
cana-3834	88	44	,	,	PUNCT
cana-3834	88	45	{	{	PUNCT
cana-3834	88	46	b	b	X
cana-3834	88	47	,	,	PUNCT
cana-3834	88	48	c	c	X
cana-3834	88	49	,	,	PUNCT
cana-3834	88	50	e	e	NOUN
cana-3834	88	51	,	,	PUNCT
cana-3834	88	52	g	g	PROPN
cana-3834	88	53	,	,	PUNCT
cana-3834	88	54	h	h	NOUN
cana-3834	88	55	}	}	PUNCT
cana-3834	88	56	are	be	AUX
cana-3834	88	57	few	few	ADJ
cana-3834	88	58	2	2	NUM
cana-3834	88	59	-	-	PUNCT
cana-3834	88	60	point	point	NOUN
cana-3834	88	61	set	set	VERB
cana-3834	88	62	neutrosophic	neutrosophic	ADJ
cana-3834	88	63	domination	domination	NOUN
cana-3834	88	64	&	&	CCONJ
cana-3834	88	65	𝛾2𝑝𝑠𝑛𝑑(𝐺	𝛾2𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	88	66	)	)	PUNCT
cana-3834	88	67	=	=	SYM
cana-3834	88	68	2.95	2.95	NUM
cana-3834	88	69	.	.	PUNCT
cana-3834	89	1	definition	definition	NOUN
cana-3834	89	2	3.4	3.4	NUM
cana-3834	89	3	.	.	PUNCT
cana-3834	90	1	let	let	VERB
cana-3834	90	2	g	g	NOUN
cana-3834	90	3	=	=	SYM
cana-3834	90	4	(	(	PUNCT
cana-3834	90	5	x	x	NOUN
cana-3834	90	6	,	,	PUNCT
cana-3834	90	7	y	y	NOUN
cana-3834	90	8	)	)	PUNCT
cana-3834	90	9	be	be	AUX
cana-3834	90	10	single	single	ADJ
cana-3834	90	11	valued	value	VERB
cana-3834	90	12	neutrosophic	neutrosophic	ADJ
cana-3834	90	13	network	network	NOUN
cana-3834	90	14	,	,	PUNCT
cana-3834	90	15	if	if	SCONJ
cana-3834	90	16	for	for	ADP
cana-3834	90	17	each	each	PRON
cana-3834	90	18	subset	subset	VERB
cana-3834	90	19	a	a	DET
cana-3834	90	20	⊆	⊆	NUM
cana-3834	90	21	x	x	SYM
cana-3834	90	22	−b	−b	NOUN
cana-3834	90	23	there	there	PRON
cana-3834	90	24	exists	exist	VERB
cana-3834	90	25	a	a	DET
cana-3834	90	26	vertex	vertex	NOUN
cana-3834	90	27	b	b	NOUN
cana-3834	90	28	∈	∈	NOUN
cana-3834	90	29	b	b	NOUN
cana-3834	90	30	such	such	ADJ
cana-3834	90	31	that	that	DET
cana-3834	90	32	subgraph	subgraph	NOUN
cana-3834	90	33	<	<	X
cana-3834	90	34	a∪	a∪	INTJ
cana-3834	90	35	{	{	PUNCT
cana-3834	90	36	b	b	NOUN
cana-3834	90	37	}	}	PUNCT
cana-3834	90	38	>	>	X
cana-3834	90	39	induced	induce	VERB
cana-3834	90	40	by	by	ADP
cana-3834	90	41	the	the	DET
cana-3834	90	42	vertices	vertex	NOUN
cana-3834	90	43	of	of	ADP
cana-3834	90	44	a∪	a∪	ADJ
cana-3834	90	45	{	{	PUNCT
cana-3834	90	46	b	b	NOUN
cana-3834	90	47	}	}	PUNCT
cana-3834	90	48	is	be	AUX
cana-3834	90	49	tree	tree	NOUN
cana-3834	90	50	then	then	ADV
cana-3834	90	51	a	a	DET
cana-3834	90	52	subset	subset	NOUN
cana-3834	90	53	b	b	NOUN
cana-3834	90	54	⊆	⊆	NUM
cana-3834	90	55	x(g	x(g	NOUN
cana-3834	90	56	)	)	PUNCT
cana-3834	90	57	of	of	ADP
cana-3834	90	58	any	any	DET
cana-3834	90	59	graph	graph	NOUN
cana-3834	90	60	g	g	NOUN
cana-3834	90	61	is	be	AUX
cana-3834	90	62	a	a	DET
cana-3834	90	63	point	point	NOUN
cana-3834	90	64	set	set	VERB
cana-3834	90	65	tree	tree	NOUN
cana-3834	90	66	neutrosophic	neutrosophic	ADJ
cana-3834	90	67	domination	domination	NOUN
cana-3834	90	68	(	(	PUNCT
cana-3834	90	69	𝐷𝑝𝑠𝑡𝑛	𝐷𝑝𝑠𝑡𝑛	PROPN
cana-3834	90	70	)	)	PUNCT
cana-3834	90	71	.	.	PUNCT
cana-3834	91	1	point	point	NOUN
cana-3834	91	2	set	set	VERB
cana-3834	91	3	tree	tree	NOUN
cana-3834	91	4	neutrosophic	neutrosophic	ADJ
cana-3834	91	5	domination	domination	NOUN
cana-3834	91	6	number	number	NOUN
cana-3834	91	7	of	of	ADP
cana-3834	91	8	g	g	PROPN
cana-3834	91	9	is	be	AUX
cana-3834	91	10	the	the	DET
cana-3834	91	11	number	number	NOUN
cana-3834	91	12	with	with	ADP
cana-3834	91	13	the	the	DET
cana-3834	91	14	minimum	minimum	ADJ
cana-3834	91	15	vertex	vertex	NOUN
cana-3834	91	16	cardinality	cardinality	NOUN
cana-3834	91	17	in	in	ADP
cana-3834	91	18	all	all	DET
cana-3834	91	19	point	point	NOUN
cana-3834	91	20	set	set	VERB
cana-3834	91	21	tree	tree	NOUN
cana-3834	91	22	domination	domination	NOUN
cana-3834	91	23	set	set	NOUN
cana-3834	91	24	of	of	ADP
cana-3834	91	25	g	g	PROPN
cana-3834	91	26	and	and	CCONJ
cana-3834	91	27	it	it	PRON
cana-3834	91	28	is	be	AUX
cana-3834	91	29	denoted	denote	VERB
cana-3834	91	30	by	by	ADP
cana-3834	91	31	𝛾𝑝𝑠𝑡𝑛𝑑(𝐺	𝛾𝑝𝑠𝑡𝑛𝑑(𝐺	PROPN
cana-3834	91	32	)	)	PUNCT
cana-3834	91	33	.	.	PUNCT
cana-3834	92	1	communications	communication	NOUN
cana-3834	92	2	on	on	ADP
cana-3834	92	3	applied	apply	VERB
cana-3834	92	4	nonlinear	nonlinear	ADJ
cana-3834	92	5	analysis	analysis	NOUN
cana-3834	92	6	issn	issn	NOUN
cana-3834	92	7	:	:	PUNCT
cana-3834	92	8	1074	1074	NUM
cana-3834	92	9	-	-	PUNCT
cana-3834	92	10	133x	133x	NUM
cana-3834	92	11	vol	vol	NOUN
cana-3834	92	12	32	32	NUM
cana-3834	92	13	no	no	NOUN
cana-3834	92	14	.	.	PUNCT
cana-3834	93	1	9s	9s	NUM
cana-3834	93	2	(	(	PUNCT
cana-3834	93	3	2025	2025	NUM
cana-3834	93	4	)	)	PUNCT
cana-3834	93	5	22	22	NUM
cana-3834	94	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3834	94	2	figure	figure	NOUN
cana-3834	94	3	4	4	NUM
cana-3834	94	4	:	:	PUNCT
cana-3834	94	5	𝐷𝑝𝑠𝑡𝑛=	𝐷𝑝𝑠𝑡𝑛=	PROPN
cana-3834	94	6	{	{	PUNCT
cana-3834	94	7	b	b	PROPN
cana-3834	94	8	,	,	PUNCT
cana-3834	94	9	c	c	NOUN
cana-3834	94	10	}	}	PUNCT
cana-3834	94	11	,	,	PUNCT
cana-3834	94	12	{	{	PUNCT
cana-3834	94	13	b	b	X
cana-3834	94	14	,	,	PUNCT
cana-3834	94	15	a	a	DET
cana-3834	94	16	,	,	PUNCT
cana-3834	94	17	c	c	NOUN
cana-3834	94	18	}	}	PUNCT
cana-3834	94	19	,	,	PUNCT
cana-3834	94	20	{	{	PUNCT
cana-3834	94	21	b	b	X
cana-3834	94	22	,	,	PUNCT
cana-3834	94	23	a	a	PRON
cana-3834	94	24	,	,	PUNCT
cana-3834	94	25	e	e	NOUN
cana-3834	94	26	,	,	PUNCT
cana-3834	94	27	c	c	NOUN
cana-3834	94	28	}	}	PUNCT
cana-3834	94	29	,	,	PUNCT
cana-3834	94	30	{	{	PUNCT
cana-3834	94	31	b	b	X
cana-3834	94	32	,	,	PUNCT
cana-3834	94	33	d	d	PROPN
cana-3834	94	34	,	,	PUNCT
cana-3834	94	35	c	c	NOUN
cana-3834	94	36	}	}	PUNCT
cana-3834	94	37	,	,	PUNCT
cana-3834	94	38	{	{	PUNCT
cana-3834	94	39	a	a	PRON
cana-3834	94	40	,	,	PUNCT
cana-3834	94	41	b	b	NOUN
cana-3834	94	42	,	,	PUNCT
cana-3834	94	43	c	c	NOUN
cana-3834	94	44	,	,	PUNCT
cana-3834	94	45	d	d	NOUN
cana-3834	94	46	}	}	PUNCT
cana-3834	94	47	,	,	PUNCT
cana-3834	94	48	{	{	PUNCT
cana-3834	94	49	a	a	DET
cana-3834	94	50	,	,	PUNCT
cana-3834	94	51	b	b	NOUN
cana-3834	94	52	,	,	PUNCT
cana-3834	94	53	d	d	NOUN
cana-3834	94	54	}	}	PUNCT
cana-3834	94	55	are	be	AUX
cana-3834	94	56	point	point	NOUN
cana-3834	94	57	set	set	VERB
cana-3834	94	58	tree	tree	NOUN
cana-3834	94	59	neutrosophic	neutrosophic	ADJ
cana-3834	94	60	domination	domination	NOUN
cana-3834	94	61	&	&	CCONJ
cana-3834	94	62	𝛾𝑝𝑠𝑡𝑛𝑑(𝐺	𝛾𝑝𝑠𝑡𝑛𝑑(𝐺	NUM
cana-3834	94	63	)	)	PUNCT
cana-3834	94	64	.	.	PUNCT
cana-3834	95	1	=	=	PUNCT
cana-3834	95	2	1.8	1.8	NUM
cana-3834	95	3	.	.	PUNCT
cana-3834	96	1	theorem	theorem	VERB
cana-3834	96	2	3.5	3.5	NUM
cana-3834	96	3	.	.	PUNCT
cana-3834	97	1	in	in	ADP
cana-3834	97	2	single	single	ADJ
cana-3834	97	3	valued	value	VERB
cana-3834	97	4	neutrosophic	neutrosophic	ADJ
cana-3834	97	5	network	network	NOUN
cana-3834	97	6	g	g	PROPN
cana-3834	97	7	=	=	SYM
cana-3834	97	8	(	(	PUNCT
cana-3834	97	9	x	x	X
cana-3834	97	10	,	,	PUNCT
cana-3834	97	11	y	y	PROPN
cana-3834	97	12	)	)	PUNCT
cana-3834	97	13	,	,	PUNCT
cana-3834	97	14	δ(g	δ(g	PROPN
cana-3834	97	15	)	)	PUNCT
cana-3834	97	16	≤	≤	NOUN
cana-3834	97	17	o(𝐷𝑝𝑠𝑛	o(𝐷𝑝𝑠𝑛	CCONJ
cana-3834	97	18	)	)	PUNCT
cana-3834	97	19	&	&	CCONJ
cana-3834	97	20	∆(g	∆(g	PROPN
cana-3834	97	21	)	)	PUNCT
cana-3834	97	22	≤	≤	NOUN
cana-3834	97	23	o(𝐷𝑝𝑠𝑛	o(𝐷𝑝𝑠𝑛	NOUN
cana-3834	97	24	,	,	PUNCT
cana-3834	97	25	where	where	SCONJ
cana-3834	97	26	o(𝐷𝑝𝑠𝑛	o(𝐷𝑝𝑠𝑛	NUM
cana-3834	97	27	)	)	PUNCT
cana-3834	97	28	is	be	AUX
cana-3834	97	29	point	point	NOUN
cana-3834	97	30	set	set	VERB
cana-3834	97	31	neutrosophic	neutrosophic	ADJ
cana-3834	97	32	domination	domination	NOUN
cana-3834	97	33	.	.	PUNCT
cana-3834	98	1	proof	proof	NOUN
cana-3834	98	2	.	.	PUNCT
cana-3834	99	1	from	from	ADP
cana-3834	99	2	fig:1	fig:1	X
cana-3834	99	3	the	the	DET
cana-3834	99	4	maximum	maximum	ADJ
cana-3834	99	5	degree	degree	NOUN
cana-3834	99	6	of	of	ADP
cana-3834	99	7	g	g	NOUN
cana-3834	99	8	:	:	PUNCT
cana-3834	99	9	∆t(g	∆t(g	PROPN
cana-3834	99	10	)	)	PUNCT
cana-3834	100	1	=	=	SYM
cana-3834	100	2	max	max	PROPN
cana-3834	100	3	dt(vi	dt(vi	PROPN
cana-3834	100	4	/	/	SYM
cana-3834	100	5	vi	vi	PROPN
cana-3834	100	6	∈v	∈v	PROPN
cana-3834	100	7	)	)	PUNCT
cana-3834	101	1	=	=	PUNCT
cana-3834	101	2	1.1	1.1	NUM
cana-3834	101	3	,	,	PUNCT
cana-3834	101	4	∆i(g	∆i(g	ADV
cana-3834	101	5	)	)	PUNCT
cana-3834	102	1	=	=	SYM
cana-3834	102	2	max	max	PROPN
cana-3834	102	3	di(vi	di(vi	PROPN
cana-3834	102	4	/	/	SYM
cana-3834	102	5	vi	vi	PROPN
cana-3834	102	6	∈v	∈v	PROPN
cana-3834	102	7	)	)	PUNCT
cana-3834	103	1	=	=	SYM
cana-3834	103	2	1.2	1.2	NUM
cana-3834	103	3	,	,	PUNCT
cana-3834	103	4	∆f(g	∆f(g	NOUN
cana-3834	103	5	)	)	PUNCT
cana-3834	103	6	=	=	SYM
cana-3834	103	7	max	max	PROPN
cana-3834	103	8	df(vi	df(vi	PROPN
cana-3834	103	9	/	/	SYM
cana-3834	103	10	vi	vi	PROPN
cana-3834	103	11	∈v	∈v	PROPN
cana-3834	103	12	)	)	PUNCT
cana-3834	103	13	=	=	PUNCT
cana-3834	103	14	1.5	1.5	NUM
cana-3834	103	15	.	.	PUNCT
cana-3834	104	1	the	the	DET
cana-3834	104	2	maximum	maximum	ADJ
cana-3834	104	3	degree	degree	NOUN
cana-3834	104	4	of	of	ADP
cana-3834	104	5	g	g	PROPN
cana-3834	104	6	is	be	AUX
cana-3834	104	7	∆(g	∆(g	NOUN
cana-3834	104	8	)	)	PUNCT
cana-3834	104	9	=	=	SYM
cana-3834	105	1	max{dt(vi	max{dt(vi	X
cana-3834	105	2	)	)	PUNCT
cana-3834	105	3	,	,	PUNCT
cana-3834	105	4	di(vi	di(vi	PROPN
cana-3834	105	5	)	)	PUNCT
cana-3834	105	6	,	,	PUNCT
cana-3834	105	7	df(vi	df(vi	PROPN
cana-3834	105	8	)	)	PUNCT
cana-3834	105	9	}	}	PUNCT
cana-3834	105	10	=	=	SYM
cana-3834	105	11	(	(	PUNCT
cana-3834	105	12	1.1	1.1	NUM
cana-3834	105	13	,	,	PUNCT
cana-3834	105	14	1.2	1.2	NUM
cana-3834	105	15	,	,	PUNCT
cana-3834	105	16	1.5	1.5	NUM
cana-3834	105	17	)	)	PUNCT
cana-3834	105	18	the	the	DET
cana-3834	105	19	minimum	minimum	NOUN
cana-3834	105	20	degree	degree	NOUN
cana-3834	105	21	of	of	ADP
cana-3834	105	22	g	g	NOUN
cana-3834	105	23	:	:	PUNCT
cana-3834	105	24	δt(g	δt(g	X
cana-3834	105	25	)	)	PUNCT
cana-3834	105	26	=	=	SYM
cana-3834	105	27	min	min	NOUN
cana-3834	105	28	dt(vi	dt(vi	PROPN
cana-3834	105	29	/	/	SYM
cana-3834	105	30	vi	vi	PROPN
cana-3834	105	31	∈v	∈v	PROPN
cana-3834	105	32	)	)	PUNCT
cana-3834	105	33	=	=	PUNCT
cana-3834	105	34	0.8	0.8	NUM
cana-3834	105	35	,	,	PUNCT
cana-3834	105	36	δi(g	δi(g	PUNCT
cana-3834	105	37	)	)	PUNCT
cana-3834	105	38	=	=	SYM
cana-3834	105	39	min	min	PROPN
cana-3834	105	40	di(vi	di(vi	PROPN
cana-3834	105	41	/	/	SYM
cana-3834	105	42	vi	vi	PROPN
cana-3834	105	43	∈v	∈v	PROPN
cana-3834	105	44	)	)	PUNCT
cana-3834	106	1	=	=	SYM
cana-3834	106	2	0.9	0.9	NUM
cana-3834	106	3	,	,	PUNCT
cana-3834	106	4	δf(g	δf(g	NUM
cana-3834	106	5	)	)	PUNCT
cana-3834	106	6	=	=	SYM
cana-3834	106	7	min	min	NOUN
cana-3834	106	8	df(vi	df(vi	PROPN
cana-3834	106	9	/	/	SYM
cana-3834	106	10	vi	vi	PROPN
cana-3834	106	11	∈v	∈v	PROPN
cana-3834	106	12	)	)	PUNCT
cana-3834	106	13	=	=	VERB
cana-3834	106	14	0.5	0.5	NUM
cana-3834	106	15	.	.	PUNCT
cana-3834	107	1	the	the	DET
cana-3834	107	2	minimum	minimum	NOUN
cana-3834	107	3	degree	degree	NOUN
cana-3834	107	4	of	of	ADP
cana-3834	107	5	g	g	PROPN
cana-3834	107	6	is	be	AUX
cana-3834	107	7	δ(g	δ(g	ADV
cana-3834	107	8	)	)	PUNCT
cana-3834	107	9	=	=	SYM
cana-3834	107	10	max{dt(vi	max{dt(vi	X
cana-3834	107	11	)	)	PUNCT
cana-3834	107	12	,	,	PUNCT
cana-3834	107	13	di(vi	di(vi	PROPN
cana-3834	107	14	)	)	PUNCT
cana-3834	107	15	,	,	PUNCT
cana-3834	107	16	df(vi	df(vi	PROPN
cana-3834	107	17	)	)	PUNCT
cana-3834	107	18	}	}	PUNCT
cana-3834	108	1	=	=	SYM
cana-3834	108	2	(	(	PUNCT
cana-3834	108	3	0.8	0.8	NUM
cana-3834	108	4	,	,	PUNCT
cana-3834	108	5	0.9	0.9	NUM
cana-3834	108	6	,	,	PUNCT
cana-3834	108	7	0.5	0.5	NUM
cana-3834	108	8	)	)	PUNCT
cana-3834	108	9	ot(d	ot(d	NOUN
cana-3834	108	10	)	)	PUNCT
cana-3834	108	11	=	=	SYM
cana-3834	108	12	ot(b	ot(b	X
cana-3834	108	13	,	,	PUNCT
cana-3834	108	14	c	c	X
cana-3834	108	15	,	,	PUNCT
cana-3834	108	16	d	d	NOUN
cana-3834	108	17	,	,	PUNCT
cana-3834	108	18	i	i	NOUN
cana-3834	108	19	)	)	PUNCT
cana-3834	108	20	=	=	SYM
cana-3834	108	21	2.6	2.6	NUM
cana-3834	108	22	,	,	PUNCT
cana-3834	108	23	oi(d	oi(d	NOUN
cana-3834	108	24	)	)	PUNCT
cana-3834	108	25	=	=	SYM
cana-3834	109	1	oi(b	oi(b	PROPN
cana-3834	109	2	,	,	PUNCT
cana-3834	109	3	c	c	X
cana-3834	109	4	,	,	PUNCT
cana-3834	109	5	d	d	NOUN
cana-3834	109	6	,	,	PUNCT
cana-3834	109	7	i	i	NOUN
cana-3834	109	8	)	)	PUNCT
cana-3834	109	9	=	=	SYM
cana-3834	109	10	1.4	1.4	NUM
cana-3834	109	11	,	,	PUNCT
cana-3834	109	12	of(d	of(d	NUM
cana-3834	109	13	)	)	PUNCT
cana-3834	109	14	=	=	PUNCT
cana-3834	109	15	of(b	of(b	X
cana-3834	109	16	,	,	PUNCT
cana-3834	109	17	c	c	X
cana-3834	109	18	,	,	PUNCT
cana-3834	109	19	d	d	NOUN
cana-3834	109	20	,	,	PUNCT
cana-3834	109	21	i	i	NOUN
cana-3834	109	22	)	)	PUNCT
cana-3834	109	23	=	=	SYM
cana-3834	109	24	1.9	1.9	NUM
cana-3834	109	25	,	,	PUNCT
cana-3834	109	26	o(𝐷𝑝𝑠𝑛	o(𝐷𝑝𝑠𝑛	NUM
cana-3834	109	27	)	)	PUNCT
cana-3834	109	28	=	=	PUNCT
cana-3834	109	29	(	(	PUNCT
cana-3834	109	30	2.6	2.6	NUM
cana-3834	109	31	,	,	PUNCT
cana-3834	109	32	1.4	1.4	NUM
cana-3834	109	33	,	,	PUNCT
cana-3834	109	34	1.9	1.9	NUM
cana-3834	109	35	)	)	PUNCT
cana-3834	109	36	therefore	therefore	ADV
cana-3834	109	37	δ(g	δ(g	CCONJ
cana-3834	109	38	)	)	PUNCT
cana-3834	109	39	≤	≤	NOUN
cana-3834	109	40	o(𝐷𝑝𝑠𝑛	o(𝐷𝑝𝑠𝑛	NUM
cana-3834	109	41	)	)	PUNCT
cana-3834	109	42	&	&	CCONJ
cana-3834	109	43	∆(g	∆(g	PROPN
cana-3834	109	44	)	)	PUNCT
cana-3834	109	45	≤	≤	NOUN
cana-3834	109	46	o(𝐷𝑝𝑠𝑛	o(𝐷𝑝𝑠𝑛	NUM
cana-3834	109	47	)	)	PUNCT
cana-3834	109	48	theoren	theoren	NOUN
cana-3834	109	49	3.6	3.6	NUM
cana-3834	109	50	.	.	PUNCT
cana-3834	110	1	let	let	VERB
cana-3834	110	2	g	g	PRON
cana-3834	110	3	be	be	AUX
cana-3834	110	4	a	a	DET
cana-3834	110	5	complete	complete	ADJ
cana-3834	110	6	neutrosophic	neutrosophic	ADJ
cana-3834	110	7	graph	graph	NOUN
cana-3834	110	8	and	and	CCONJ
cana-3834	110	9	𝐷𝐾	𝐷𝐾	PROPN
cana-3834	110	10	𝑝𝑠𝑛	𝑝𝑠𝑛	NOUN
cana-3834	110	11	is	be	AUX
cana-3834	110	12	a	a	DET
cana-3834	110	13	point	point	NOUN
cana-3834	110	14	set	set	VERB
cana-3834	110	15	neutrosophic	neutrosophic	ADJ
cana-3834	110	16	domination	domination	NOUN
cana-3834	110	17	set	set	VERB
cana-3834	110	18	then	then	ADV
cana-3834	110	19	v	v	ADP
cana-3834	110	20	−𝐷𝐾	−𝐷𝐾	NOUN
cana-3834	110	21	𝑝𝑠𝑛	𝑝𝑠𝑛	NOUN
cana-3834	110	22	has	have	VERB
cana-3834	110	23	a	a	DET
cana-3834	110	24	point	point	NOUN
cana-3834	110	25	set	set	VERB
cana-3834	110	26	neutrosophic	neutrosophic	ADJ
cana-3834	110	27	domination	domination	NOUN
cana-3834	110	28	set	set	NOUN
cana-3834	110	29	.	.	PUNCT
cana-3834	111	1	proof	proof	NOUN
cana-3834	111	2	.	.	PUNCT
cana-3834	112	1	given	give	VERB
cana-3834	112	2	g	g	PROPN
cana-3834	112	3	is	be	AUX
cana-3834	112	4	a	a	DET
cana-3834	112	5	complete	complete	ADJ
cana-3834	112	6	neutrosophic	neutrosophic	ADJ
cana-3834	112	7	graph	graph	NOUN
cana-3834	112	8	then	then	ADV
cana-3834	112	9	every	every	DET
cana-3834	112	10	edge	edge	NOUN
cana-3834	112	11	𝑒	𝑒	PROPN
cana-3834	112	12	∈	∈	PROPN
cana-3834	112	13	𝑌	𝑌	PROPN
cana-3834	112	14	(	(	PUNCT
cana-3834	112	15	𝐺	𝐺	NOUN
cana-3834	112	16	)	)	PUNCT
cana-3834	112	17	is	be	AUX
cana-3834	112	18	an	an	DET
cana-3834	112	19	effective	effective	ADJ
cana-3834	112	20	edge	edge	NOUN
cana-3834	112	21	and	and	CCONJ
cana-3834	112	22	each	each	DET
cana-3834	112	23	vertex	vertex	NOUN
cana-3834	112	24	𝑣	𝑣	ADP
cana-3834	112	25	∈	∈	PROPN
cana-3834	112	26	𝑋(𝐺	𝑋(𝐺	NOUN
cana-3834	112	27	)	)	PUNCT
cana-3834	112	28	is	be	AUX
cana-3834	112	29	dominating	dominate	VERB
cana-3834	112	30	all	all	DET
cana-3834	112	31	others	other	NOUN
cana-3834	112	32	.	.	PUNCT
cana-3834	113	1	thus	thus	ADV
cana-3834	113	2	a	a	DET
cana-3834	113	3	minimum	minimum	ADJ
cana-3834	113	4	point	point	NOUN
cana-3834	113	5	set	set	VERB
cana-3834	113	6	neutrosophic	neutrosophic	ADJ
cana-3834	113	7	dominance	dominance	NOUN
cana-3834	113	8	set	set	VERB
cana-3834	113	9	𝐷𝐾	𝐷𝐾	PROPN
cana-3834	113	10	𝑝𝑠𝑛	𝑝𝑠𝑛	NOUN
cana-3834	113	11	contains	contain	VERB
cana-3834	113	12	only	only	ADV
cana-3834	113	13	one	one	NUM
cana-3834	113	14	vertex	vertex	NOUN
cana-3834	113	15	,	,	PUNCT
cana-3834	113	16	then	then	ADV
cana-3834	113	17	𝑉	𝑉	PROPN
cana-3834	113	18	−𝐷𝐾	−𝐷𝐾	NOUN
cana-3834	113	19	𝑝𝑠𝑛	𝑝𝑠𝑛	NOUN
cana-3834	113	20	set	set	NOUN
cana-3834	113	21	domination	domination	NOUN
cana-3834	113	22	set	set	NOUN
cana-3834	113	23	.	.	PUNCT
cana-3834	114	1	is	be	AUX
cana-3834	114	2	point	point	NOUN
cana-3834	114	3	set	set	VERB
cana-3834	114	4	domination	domination	NOUN
cana-3834	114	5	set	set	NOUN
cana-3834	114	6	.	.	PUNCT
cana-3834	115	1	consequently	consequently	ADV
cana-3834	115	2	𝑉	𝑉	PROPN
cana-3834	115	3	−𝐷𝐾	−𝐷𝐾	NOUN
cana-3834	115	4	𝑝𝑠𝑛	𝑝𝑠𝑛	NOUN
cana-3834	115	5	has	have	AUX
cana-3834	115	6	point	point	VERB
cana-3834	115	7	set	set	VERB
cana-3834	115	8	domination	domination	NOUN
cana-3834	115	9	set	set	NOUN
cana-3834	115	10	.	.	PUNCT
cana-3834	116	1	theorem	theorem	VERB
cana-3834	116	2	3.7	3.7	NUM
cana-3834	116	3	.	.	PUNCT
cana-3834	117	1	in	in	ADP
cana-3834	117	2	single	single	ADJ
cana-3834	117	3	valued	value	VERB
cana-3834	117	4	neutrosophic	neutrosophic	ADJ
cana-3834	117	5	network	network	NOUN
cana-3834	117	6	𝐺	𝐺	PROPN
cana-3834	117	7	=	=	SYM
cana-3834	117	8	(	(	PUNCT
cana-3834	117	9	𝑋	𝑋	PROPN
cana-3834	117	10	,	,	PUNCT
cana-3834	117	11	𝑌	𝑌	PROPN
cana-3834	117	12	)	)	PUNCT
cana-3834	117	13	,	,	PUNCT
cana-3834	117	14	complement	complement	NOUN
cana-3834	117	15	of	of	ADP
cana-3834	117	16	the	the	DET
cana-3834	117	17	complete	complete	ADJ
cana-3834	117	18	graph	graph	NOUN
cana-3834	117	19	can	can	AUX
cana-3834	117	20	not	not	PART
cana-3834	117	21	point	point	VERB
cana-3834	117	22	set	set	VERB
cana-3834	117	23	neutrosophic	neutrosophic	ADJ
cana-3834	117	24	domination	domination	NOUN
cana-3834	117	25	.	.	PUNCT
cana-3834	118	1	communications	communication	NOUN
cana-3834	118	2	on	on	ADP
cana-3834	118	3	applied	apply	VERB
cana-3834	118	4	nonlinear	nonlinear	ADJ
cana-3834	118	5	analysis	analysis	NOUN
cana-3834	118	6	issn	issn	NOUN
cana-3834	118	7	:	:	PUNCT
cana-3834	118	8	1074	1074	NUM
cana-3834	118	9	-	-	PUNCT
cana-3834	118	10	133x	133x	NUM
cana-3834	118	11	vol	vol	NOUN
cana-3834	118	12	32	32	NUM
cana-3834	118	13	no	no	NOUN
cana-3834	118	14	.	.	PUNCT
cana-3834	119	1	9s	9s	NUM
cana-3834	119	2	(	(	PUNCT
cana-3834	119	3	2025	2025	NUM
cana-3834	119	4	)	)	PUNCT
cana-3834	119	5	23	23	NUM
cana-3834	120	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3834	120	2	theorem	theorem	VERB
cana-3834	120	3	3.8	3.8	NUM
cana-3834	120	4	.	.	PUNCT
cana-3834	121	1	for	for	ADP
cana-3834	121	2	single	single	ADJ
cana-3834	121	3	valued	value	VERB
cana-3834	121	4	neutrosophic	neutrosophic	ADJ
cana-3834	121	5	network	network	NOUN
cana-3834	121	6	𝐺	𝐺	PROPN
cana-3834	121	7	=	=	SYM
cana-3834	121	8	(	(	PUNCT
cana-3834	121	9	𝑋	𝑋	PROPN
cana-3834	121	10	,	,	PUNCT
cana-3834	121	11	𝑌	𝑌	PROPN
cana-3834	121	12	)	)	PUNCT
cana-3834	121	13	,	,	PUNCT
cana-3834	121	14	any	any	DET
cana-3834	121	15	point	point	NOUN
cana-3834	121	16	set	set	VERB
cana-3834	121	17	domination	domination	NOUN
cana-3834	121	18	set	set	NOUN
cana-3834	121	19	is	be	AUX
cana-3834	121	20	2	2	NUM
cana-3834	121	21	-	-	PUNCT
cana-3834	121	22	point	point	NOUN
cana-3834	121	23	set	set	VERB
cana-3834	121	24	domination	domination	NOUN
cana-3834	121	25	set	set	NOUN
cana-3834	121	26	of	of	ADP
cana-3834	121	27	g	g	NOUN
cana-3834	121	28	proof	proof	NOUN
cana-3834	121	29	.	.	PUNCT
cana-3834	122	1	consider	consider	VERB
cana-3834	122	2	𝐺	𝐺	PROPN
cana-3834	122	3	=	=	SYM
cana-3834	122	4	(	(	PUNCT
cana-3834	122	5	𝑋	𝑋	PROPN
cana-3834	122	6	,	,	PUNCT
cana-3834	122	7	𝑌	𝑌	PROPN
cana-3834	122	8	)	)	PUNCT
cana-3834	122	9	is	be	AUX
cana-3834	122	10	neutrosophic	neutrosophic	ADJ
cana-3834	122	11	network	network	NOUN
cana-3834	122	12	,	,	PUNCT
cana-3834	122	13	let	let	VERB
cana-3834	122	14	g	g	PRON
cana-3834	122	15	be	be	AUX
cana-3834	122	16	a	a	DET
cana-3834	122	17	2	2	NUM
cana-3834	122	18	-	-	PUNCT
cana-3834	122	19	point	point	NOUN
cana-3834	122	20	set	set	VERB
cana-3834	122	21	neutrosophic	neutrosophic	ADJ
cana-3834	122	22	dominance	dominance	NOUN
cana-3834	122	23	set	set	NOUN
cana-3834	122	24	of	of	ADP
cana-3834	122	25	𝐺.	𝐺.	NOUN
cana-3834	122	26	if	if	SCONJ
cana-3834	122	27	for	for	ADP
cana-3834	122	28	every	every	DET
cana-3834	122	29	set	set	NOUN
cana-3834	123	1	𝑇	𝑇	PROPN
cana-3834	123	2	⊆	⊆	NUM
cana-3834	123	3	𝑋	𝑋	PROPN
cana-3834	123	4	−	−	PROPN
cana-3834	123	5	𝐷	𝐷	PROPN
cana-3834	124	1	,	,	PUNCT
cana-3834	124	2	there	there	PRON
cana-3834	124	3	exist	exist	VERB
cana-3834	124	4	a	a	DET
cana-3834	124	5	non	non	X
cana-3834	124	6	empty	empty	ADJ
cana-3834	124	7	set	set	VERB
cana-3834	124	8	𝑆	𝑆	PROPN
cana-3834	124	9	⊆	⊆	NUM
cana-3834	124	10	𝐷	𝐷	NOUN
cana-3834	124	11	containing	contain	VERB
cana-3834	124	12	at	at	ADP
cana-3834	124	13	most	most	ADV
cana-3834	124	14	two	two	NUM
cana-3834	124	15	vertices	vertex	NOUN
cana-3834	124	16	such	such	ADJ
cana-3834	124	17	that	that	SCONJ
cana-3834	124	18	the	the	DET
cana-3834	124	19	induced	induced	ADJ
cana-3834	124	20	subgraph	subgraph	NOUN
cana-3834	124	21	<	<	X
cana-3834	124	22	𝑆	𝑆	PROPN
cana-3834	124	23	∪	∪	PROPN
cana-3834	124	24	𝑇	𝑇	PROPN
cana-3834	124	25	>	>	PUNCT
cana-3834	124	26	is	be	AUX
cana-3834	124	27	connected	connect	VERB
cana-3834	124	28	.	.	PUNCT
cana-3834	125	1	since	since	SCONJ
cana-3834	125	2	it	it	PRON
cana-3834	125	3	is	be	AUX
cana-3834	125	4	2	2	NUM
cana-3834	125	5	-	-	PUNCT
cana-3834	125	6	point	point	NOUN
cana-3834	125	7	set	set	VERB
cana-3834	125	8	neutrosophic	neutrosophic	ADJ
cana-3834	125	9	dominance	dominance	NOUN
cana-3834	125	10	set	set	NOUN
cana-3834	125	11	of	of	ADP
cana-3834	125	12	𝐺.	𝐺.	NOUN
cana-3834	125	13	if	if	SCONJ
cana-3834	125	14	for	for	ADP
cana-3834	125	15	each	each	DET
cana-3834	125	16	𝑇	𝑇	PROPN
cana-3834	125	17	⊆	⊆	NUM
cana-3834	125	18	𝑋	𝑋	PROPN
cana-3834	125	19	−	−	PROPN
cana-3834	125	20	𝐷	𝐷	PROPN
cana-3834	125	21	there	there	PRON
cana-3834	125	22	exist	exist	VERB
cana-3834	125	23	𝑢	𝑢	PRON
cana-3834	125	24	∈	∈	PROPN
cana-3834	125	25	𝑆	𝑆	PROPN
cana-3834	125	26	,	,	PUNCT
cana-3834	125	27	then	then	ADV
cana-3834	125	28	<	<	X
cana-3834	125	29	{	{	PUNCT
cana-3834	125	30	𝑢	𝑢	NOUN
cana-3834	125	31	}	}	PUNCT
cana-3834	125	32	∪	∪	ADP
cana-3834	125	33	𝑇	𝑇	PROPN
cana-3834	125	34	>	>	X
cana-3834	125	35	is	be	AUX
cana-3834	125	36	connected	connect	VERB
cana-3834	125	37	.	.	PUNCT
cana-3834	126	1	therefore	therefore	ADV
cana-3834	126	2	𝐺	𝐺	PROPN
cana-3834	126	3	is	be	AUX
cana-3834	126	4	point	point	NOUN
cana-3834	126	5	set	set	VERB
cana-3834	126	6	neutrosophic	neutrosophic	ADJ
cana-3834	126	7	dominance	dominance	NOUN
cana-3834	126	8	.	.	PUNCT
cana-3834	127	1	theorem	theorem	VERB
cana-3834	127	2	3.9	3.9	NUM
cana-3834	127	3	.	.	PUNCT
cana-3834	128	1	for	for	ADP
cana-3834	128	2	svng	svng	NOUN
cana-3834	128	3	,	,	PUNCT
cana-3834	128	4	𝛾2𝑝𝑠𝑛𝑑(𝐺	𝛾2𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	128	5	)	)	PUNCT
cana-3834	128	6	≤	≤	NUM
cana-3834	128	7	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	128	8	)	)	PUNCT
cana-3834	128	9	≤	≤	NOUN
cana-3834	128	10	𝛾𝑝𝑠𝑡𝑛𝑑(𝐺	𝛾𝑝𝑠𝑡𝑛𝑑(𝐺	NUM
cana-3834	128	11	)	)	PUNCT
cana-3834	128	12	≤	≤	NOUN
cana-3834	128	13	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	NUM
cana-3834	128	14	)	)	PUNCT
cana-3834	128	15	.	.	PUNCT
cana-3834	129	1	proof	proof	NOUN
cana-3834	129	2	.	.	PUNCT
cana-3834	130	1	let	let	VERB
cana-3834	130	2	a	a	DET
cana-3834	130	3	be	be	AUX
cana-3834	130	4	a	a	DET
cana-3834	130	5	least	least	ADJ
cana-3834	130	6	point	point	NOUN
cana-3834	130	7	set	set	VERB
cana-3834	130	8	neutrosophic	neutrosophic	ADJ
cana-3834	130	9	dominance	dominance	NOUN
cana-3834	130	10	set	set	NOUN
cana-3834	130	11	of	of	ADP
cana-3834	130	12	neutrosophic	neutrosophic	ADJ
cana-3834	130	13	network	network	NOUN
cana-3834	130	14	g	g	PROPN
cana-3834	130	15	and	and	CCONJ
cana-3834	130	16	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	130	17	)	)	PUNCT
cana-3834	130	18	=	=	VERB
cana-3834	130	19	𝑠.	𝑠.	VERB
cana-3834	130	20	every	every	DET
cana-3834	130	21	point	point	NOUN
cana-3834	130	22	set	set	VERB
cana-3834	130	23	domination	domination	NOUN
cana-3834	130	24	is	be	AUX
cana-3834	130	25	a	a	DET
cana-3834	130	26	2	2	NUM
cana-3834	130	27	-	-	PUNCT
cana-3834	130	28	point	point	NOUN
cana-3834	130	29	set	set	VERB
cana-3834	130	30	domination	domination	NOUN
cana-3834	130	31	in	in	ADP
cana-3834	130	32	neutrosophic	neutrosophic	ADJ
cana-3834	130	33	network	network	NOUN
cana-3834	130	34	so	so	SCONJ
cana-3834	130	35	,	,	PUNCT
cana-3834	130	36	𝛾2𝑝𝑠𝑛𝑑(𝐺	𝛾2𝑝𝑠𝑛𝑑(𝐺	NUM
cana-3834	130	37	)	)	PUNCT
cana-3834	130	38	)	)	PUNCT
cana-3834	131	1	=	=	SYM
cana-3834	131	2	𝑠.	𝑠.	NOUN
cana-3834	131	3	(	(	PUNCT
cana-3834	131	4	𝑖.	𝑖.	NOUN
cana-3834	131	5	𝑒	𝑒	X
cana-3834	131	6	)	)	PUNCT
cana-3834	131	7	𝛾2𝑝𝑠𝑛𝑑(𝐺	𝛾2𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	131	8	)	)	PUNCT
cana-3834	131	9	≤	≤	NOUN
cana-3834	131	10	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	X
cana-3834	131	11	)	)	PUNCT
cana-3834	131	12	suppose	suppose	VERB
cana-3834	131	13	a	a	PRON
cana-3834	131	14	is	be	AUX
cana-3834	131	15	not	not	PART
cana-3834	131	16	a	a	DET
cana-3834	131	17	least	least	ADJ
cana-3834	131	18	point	point	NOUN
cana-3834	131	19	set	set	VERB
cana-3834	131	20	neutrosophic	neutrosophic	ADJ
cana-3834	131	21	domination	domination	NOUN
cana-3834	131	22	set	set	NOUN
cana-3834	131	23	and	and	CCONJ
cana-3834	131	24	if	if	SCONJ
cana-3834	131	25	𝐴′	𝐴′	PROPN
cana-3834	131	26	is	be	AUX
cana-3834	131	27	least	least	ADJ
cana-3834	131	28	point	point	NOUN
cana-3834	131	29	set	set	VERB
cana-3834	131	30	neutrosophic	neutrosophic	ADJ
cana-3834	131	31	domination	domination	NOUN
cana-3834	131	32	set	set	VERB
cana-3834	131	33	then	then	ADV
cana-3834	131	34	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	131	35	)	)	PUNCT
cana-3834	131	36	>	>	PUNCT
cana-3834	131	37	𝑠.	𝑠.	PROPN
cana-3834	131	38	then	then	ADV
cana-3834	131	39	𝛾2𝑝𝑠𝑛𝑑(𝐺	𝛾2𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	131	40	)	)	PUNCT
cana-3834	131	41	≤	≤	NOUN
cana-3834	132	1	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	132	2	)	)	PUNCT
cana-3834	132	3	let	let	VERB
cana-3834	132	4	𝐵	𝐵	PRON
cana-3834	132	5	be	be	AUX
cana-3834	132	6	a	a	DET
cana-3834	132	7	least	least	ADJ
cana-3834	132	8	point	point	NOUN
cana-3834	132	9	set	set	VERB
cana-3834	132	10	tree	tree	NOUN
cana-3834	132	11	neutrosophic	neutrosophic	ADJ
cana-3834	132	12	domination	domination	NOUN
cana-3834	132	13	set	set	NOUN
cana-3834	132	14	of	of	ADP
cana-3834	132	15	neutrosophic	neutrosophic	ADJ
cana-3834	132	16	graph	graph	NOUN
cana-3834	132	17	𝐺	𝐺	PROPN
cana-3834	132	18	then	then	ADV
cana-3834	132	19	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	PROPN
cana-3834	132	20	)	)	PUNCT
cana-3834	132	21	=	=	PUNCT
cana-3834	132	22	𝑡.	𝑡.	VERB
cana-3834	132	23	if	if	SCONJ
cana-3834	132	24	b	b	PROPN
cana-3834	132	25	be	be	AUX
cana-3834	132	26	a	a	DET
cana-3834	132	27	least	least	ADV
cana-3834	132	28	connected	connected	ADJ
cana-3834	132	29	point	point	NOUN
cana-3834	132	30	set	set	VERB
cana-3834	132	31	neutrosophic	neutrosophic	ADJ
cana-3834	132	32	domination	domination	NOUN
cana-3834	132	33	set	set	NOUN
cana-3834	132	34	of	of	ADP
cana-3834	132	35	neutrosophic	neutrosophic	ADJ
cana-3834	132	36	graph	graph	NOUN
cana-3834	132	37	g	g	PROPN
cana-3834	132	38	then	then	ADV
cana-3834	132	39	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	PROPN
cana-3834	132	40	)	)	PUNCT
cana-3834	132	41	=	=	SYM
cana-3834	132	42	𝑡.	𝑡.	NOUN
cana-3834	132	43	(	(	PUNCT
cana-3834	132	44	𝑖.	𝑖.	ADJ
cana-3834	132	45	𝑒	𝑒	VERB
cana-3834	132	46	)	)	PUNCT
cana-3834	132	47	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	PROPN
cana-3834	132	48	)	)	PUNCT
cana-3834	132	49	≤	≤	NOUN
cana-3834	132	50	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	NUM
cana-3834	132	51	)	)	PUNCT
cana-3834	132	52	suppose	suppose	VERB
cana-3834	132	53	𝐵	𝐵	NOUN
cana-3834	132	54	is	be	AUX
cana-3834	132	55	not	not	PART
cana-3834	132	56	a	a	DET
cana-3834	132	57	least	least	ADV
cana-3834	132	58	connected	connected	ADJ
cana-3834	132	59	point	point	NOUN
cana-3834	132	60	set	set	VERB
cana-3834	132	61	neutrosophic	neutrosophic	ADJ
cana-3834	132	62	domination	domination	NOUN
cana-3834	132	63	and	and	CCONJ
cana-3834	132	64	if	if	SCONJ
cana-3834	132	65	𝐵′	𝐵′	PRON
cana-3834	132	66	is	be	AUX
cana-3834	132	67	a	a	DET
cana-3834	132	68	least	least	ADV
cana-3834	132	69	connected	connected	ADJ
cana-3834	132	70	point	point	NOUN
cana-3834	132	71	set	set	VERB
cana-3834	132	72	neutrosophic	neutrosophic	ADJ
cana-3834	132	73	dominance	dominance	NOUN
cana-3834	132	74	set	set	VERB
cana-3834	132	75	then	then	ADV
cana-3834	132	76	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	NUM
cana-3834	132	77	)	)	PUNCT
cana-3834	132	78	>	>	X
cana-3834	133	1	𝑡.	𝑡.	VERB
cana-3834	133	2	thus	thus	ADV
cana-3834	133	3	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺)≤	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺)≤	PROPN
cana-3834	133	4	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	133	5	)	)	PUNCT
cana-3834	133	6	.	.	PUNCT
cana-3834	134	1	let	let	VERB
cana-3834	134	2	𝐶	𝐶	PROPN
cana-3834	134	3	be	be	AUX
cana-3834	134	4	a	a	DET
cana-3834	134	5	least	least	ADJ
cana-3834	134	6	point	point	NOUN
cana-3834	134	7	set	set	VERB
cana-3834	134	8	neutrosophic	neutrosophic	ADJ
cana-3834	134	9	domination	domination	NOUN
cana-3834	134	10	set	set	NOUN
cana-3834	134	11	of	of	ADP
cana-3834	134	12	neutrosophic	neutrosophic	ADJ
cana-3834	134	13	graph	graph	NOUN
cana-3834	134	14	and	and	CCONJ
cana-3834	134	15	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	134	16	)	)	PUNCT
cana-3834	134	17	=	=	SYM
cana-3834	134	18	𝑢	𝑢	NOUN
cana-3834	134	19	if	if	SCONJ
cana-3834	134	20	𝐶	𝐶	PROPN
cana-3834	134	21	is	be	AUX
cana-3834	134	22	also	also	ADV
cana-3834	134	23	least	least	ADJ
cana-3834	134	24	point	point	VERB
cana-3834	134	25	set	set	VERB
cana-3834	134	26	tree	tree	NOUN
cana-3834	134	27	neutrosophic	neutrosophic	ADJ
cana-3834	134	28	domination	domination	NOUN
cana-3834	134	29	of	of	ADP
cana-3834	134	30	neutrosophic	neutrosophic	ADJ
cana-3834	134	31	graph	graph	NOUN
cana-3834	134	32	𝐺	𝐺	PROPN
cana-3834	134	33	then	then	ADV
cana-3834	134	34	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	PROPN
cana-3834	134	35	)	)	PUNCT
cana-3834	134	36	=	=	SYM
cana-3834	134	37	𝑢.	𝑢.	NOUN
cana-3834	134	38	(	(	PUNCT
cana-3834	134	39	i.e	i.e	PROPN
cana-3834	134	40	)	)	PUNCT
cana-3834	134	41	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	134	42	)	)	PUNCT
cana-3834	134	43	≤	≤	NUM
cana-3834	134	44	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	X
cana-3834	134	45	)	)	PUNCT
cana-3834	134	46	suppose	suppose	VERB
cana-3834	134	47	𝐶	𝐶	PROPN
cana-3834	134	48	is	be	AUX
cana-3834	134	49	not	not	PART
cana-3834	134	50	a	a	DET
cana-3834	134	51	least	least	ADJ
cana-3834	134	52	point	point	NOUN
cana-3834	134	53	set	set	VERB
cana-3834	134	54	tree	tree	NOUN
cana-3834	134	55	neutrosophic	neutrosophic	ADJ
cana-3834	134	56	dominance	dominance	NOUN
cana-3834	134	57	set	set	VERB
cana-3834	134	58	and	and	CCONJ
cana-3834	134	59	if	if	SCONJ
cana-3834	134	60	𝐶′	𝐶′	PROPN
cana-3834	134	61	is	be	AUX
cana-3834	134	62	a	a	DET
cana-3834	134	63	least	least	ADJ
cana-3834	134	64	point	point	NOUN
cana-3834	134	65	set	set	VERB
cana-3834	134	66	tree	tree	NOUN
cana-3834	134	67	neutrosophic	neutrosophic	ADJ
cana-3834	134	68	dominance	dominance	NOUN
cana-3834	134	69	set	set	VERB
cana-3834	134	70	then	then	ADV
cana-3834	134	71	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	PROPN
cana-3834	134	72	)	)	PUNCT
cana-3834	134	73	>	>	PUNCT
cana-3834	135	1	u.	u.	PROPN
cana-3834	135	2	then	then	ADV
cana-3834	135	3	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	135	4	)	)	PUNCT
cana-3834	135	5	≤	≤	NUM
cana-3834	135	6	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	PROPN
cana-3834	135	7	)	)	PUNCT
cana-3834	135	8	.	.	PUNCT
cana-3834	136	1	from	from	ADP
cana-3834	136	2	(	(	PUNCT
cana-3834	136	3	1	1	NUM
cana-3834	136	4	)	)	PUNCT
cana-3834	136	5	,	,	PUNCT
cana-3834	136	6	(	(	PUNCT
cana-3834	136	7	2	2	NUM
cana-3834	136	8	)	)	PUNCT
cana-3834	136	9	,	,	PUNCT
cana-3834	136	10	(	(	PUNCT
cana-3834	136	11	3	3	X
cana-3834	136	12	)	)	PUNCT
cana-3834	136	13	we	we	PRON
cana-3834	136	14	get	get	VERB
cana-3834	136	15	,	,	PUNCT
cana-3834	136	16	𝛾2𝑝𝑠𝑛𝑑(𝐺	𝛾2𝑝𝑠𝑛𝑑(𝐺	NOUN
cana-3834	136	17	)	)	PUNCT
cana-3834	136	18	≤	≤	NUM
cana-3834	136	19	𝛾𝑝𝑠𝑛𝑑(𝐺	𝛾𝑝𝑠𝑛𝑑(𝐺	PROPN
cana-3834	136	20	)	)	PUNCT
cana-3834	136	21	≤	≤	NUM
cana-3834	136	22	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	𝛾𝑝𝑠𝑛𝑡𝑑(𝐺	PROPN
cana-3834	136	23	)	)	PUNCT
cana-3834	136	24	≤	≤	NOUN
cana-3834	136	25	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	𝛾𝑐𝑝𝑠𝑛𝑑(𝐺	NUM
cana-3834	136	26	)	)	PUNCT
cana-3834	136	27	.	.	PUNCT
cana-3834	137	1	theorem	theorem	VERB
cana-3834	137	2	3.10	3.10	NUM
cana-3834	137	3	.	.	PUNCT
cana-3834	138	1	a	a	DET
cana-3834	138	2	domination	domination	NOUN
cana-3834	138	3	set	set	VERB
cana-3834	138	4	neutrosophic	neutrosophic	ADJ
cana-3834	138	5	graph	graph	NOUN
cana-3834	138	6	𝐺	𝐺	PROPN
cana-3834	138	7	=	=	SYM
cana-3834	138	8	(	(	PUNCT
cana-3834	138	9	𝑋	𝑋	PROPN
cana-3834	138	10	,	,	PUNCT
cana-3834	138	11	𝑌	𝑌	PROPN
cana-3834	138	12	)	)	PUNCT
cana-3834	138	13	is	be	AUX
cana-3834	138	14	point	point	NOUN
cana-3834	138	15	set	set	VERB
cana-3834	138	16	domination	domination	NOUN
cana-3834	138	17	if	if	SCONJ
cana-3834	138	18	for	for	SCONJ
cana-3834	138	19	each	each	DET
cana-3834	138	20	vertex	vertex	NOUN
cana-3834	138	21	𝑢	𝑢	PART
cana-3834	138	22	∈	∈	PROPN
cana-3834	138	23	𝑋	𝑋	NOUN
cana-3834	138	24	−	−	PROPN
cana-3834	138	25	𝐷	𝐷	PROPN
cana-3834	138	26	satisfies	satisfy	VERB
cana-3834	138	27	one	one	NUM
cana-3834	138	28	of	of	ADP
cana-3834	138	29	the	the	DET
cana-3834	138	30	following	following	ADJ
cana-3834	138	31	conditions	condition	NOUN
cana-3834	138	32	,	,	PUNCT
cana-3834	138	33	1	1	X
cana-3834	138	34	.	.	PUNCT
cana-3834	139	1	<	<	X
cana-3834	139	2	𝑋	𝑋	PROPN
cana-3834	139	3	−	−	PROPN
cana-3834	139	4	𝐷	𝐷	PROPN
cana-3834	139	5	>	>	PUNCT
cana-3834	139	6	is	be	AUX
cana-3834	139	7	connected	connect	VERB
cana-3834	139	8	2	2	NUM
cana-3834	139	9	.	.	PUNCT
cana-3834	140	1	if	if	SCONJ
cana-3834	140	2	there	there	PRON
cana-3834	140	3	does	do	AUX
cana-3834	140	4	not	not	PART
cana-3834	140	5	exist	exist	VERB
cana-3834	140	6	𝑢	𝑢	NOUN
cana-3834	140	7	−	−	PROPN
cana-3834	140	8	𝑣	𝑣	DET
cana-3834	140	9	path	path	NOUN
cana-3834	140	10	between	between	ADP
cana-3834	140	11	at	at	ADP
cana-3834	140	12	most	most	ADJ
cana-3834	140	13	any	any	DET
cana-3834	140	14	two	two	NUM
cana-3834	140	15	vertices	vertex	NOUN
cana-3834	140	16	of	of	ADP
cana-3834	140	17	𝑋	𝑋	PROPN
cana-3834	140	18	−	−	PROPN
cana-3834	140	19	𝐷	𝐷	NOUN
cana-3834	140	20	then	then	ADV
cana-3834	140	21	there	there	PRON
cana-3834	140	22	exist	exist	VERB
cana-3834	140	23	𝑑	𝑑	PROPN
cana-3834	140	24	∈	∈	PROPN
cana-3834	140	25	𝐷	𝐷	NOUN
cana-3834	140	26	such	such	ADJ
cana-3834	140	27	that	that	DET
cana-3834	140	28	𝑁(𝑢	𝑁(𝑢	NOUN
cana-3834	140	29	)	)	PUNCT
cana-3834	140	30	∩	∩	NOUN
cana-3834	140	31	𝑁(𝑣	𝑁(𝑣	X
cana-3834	140	32	)	)	PUNCT
cana-3834	140	33	=	=	SYM
cana-3834	140	34	𝑑.	𝑑.	NOUN
cana-3834	140	35	∴𝐷	∴𝐷	NOUN
cana-3834	140	36	is	be	AUX
cana-3834	140	37	point	point	NOUN
cana-3834	140	38	set	set	VERB
cana-3834	140	39	neutrosophic	neutrosophic	ADJ
cana-3834	140	40	domination	domination	NOUN
cana-3834	140	41	set	set	NOUN
cana-3834	140	42	,	,	PUNCT
cana-3834	140	43	which	which	PRON
cana-3834	140	44	satisfies	satisfy	VERB
cana-3834	140	45	one	one	NUM
cana-3834	140	46	of	of	ADP
cana-3834	140	47	the	the	DET
cana-3834	140	48	above	above	ADJ
cana-3834	140	49	conditions	condition	NOUN
cana-3834	140	50	communications	communication	NOUN
cana-3834	140	51	on	on	ADP
cana-3834	140	52	applied	apply	VERB
cana-3834	140	53	nonlinear	nonlinear	ADJ
cana-3834	140	54	analysis	analysis	NOUN
cana-3834	140	55	issn	issn	NOUN
cana-3834	140	56	:	:	PUNCT
cana-3834	140	57	1074	1074	NUM
cana-3834	140	58	-	-	PUNCT
cana-3834	140	59	133x	133x	NUM
cana-3834	140	60	vol	vol	NOUN
cana-3834	140	61	32	32	NUM
cana-3834	140	62	no	no	NOUN
cana-3834	140	63	.	.	PUNCT
cana-3834	141	1	9s	9s	NUM
cana-3834	141	2	(	(	PUNCT
cana-3834	141	3	2025	2025	NUM
cana-3834	141	4	)	)	PUNCT
cana-3834	141	5	24	24	NUM
cana-3834	141	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3834	141	7	definition	definition	NOUN
cana-3834	141	8	3.12	3.12	NUM
cana-3834	141	9	.	.	PUNCT
cana-3834	142	1	if	if	SCONJ
cana-3834	142	2	no	no	DET
cana-3834	142	3	proper	proper	ADJ
cana-3834	142	4	subset	subset	NOUN
cana-3834	142	5	of	of	ADP
cana-3834	142	6	point	point	NOUN
cana-3834	142	7	set	set	VERB
cana-3834	142	8	domination	domination	NOUN
cana-3834	142	9	set	set	VERB
cana-3834	142	10	𝐷	𝐷	PROPN
cana-3834	142	11	is	be	AUX
cana-3834	142	12	point	point	NOUN
cana-3834	142	13	set	set	VERB
cana-3834	142	14	domination	domination	NOUN
cana-3834	142	15	set	set	NOUN
cana-3834	142	16	,	,	PUNCT
cana-3834	142	17	then	then	ADV
cana-3834	142	18	𝐷	𝐷	PROPN
cana-3834	142	19	is	be	AUX
cana-3834	142	20	said	say	VERB
cana-3834	142	21	to	to	PART
cana-3834	142	22	be	be	AUX
cana-3834	142	23	minimal	minimal	ADJ
cana-3834	142	24	point	point	NOUN
cana-3834	142	25	set	set	VERB
cana-3834	142	26	domination	domination	NOUN
cana-3834	142	27	in	in	ADP
cana-3834	142	28	neutrosophic	neutrosophic	ADJ
cana-3834	142	29	graph	graph	NOUN
cana-3834	142	30	𝐺	𝐺	PROPN
cana-3834	142	31	theorem	theorem	VERB
cana-3834	142	32	3.13	3.13	NUM
cana-3834	142	33	.	.	PUNCT
cana-3834	143	1	in	in	ADP
cana-3834	143	2	a	a	DET
cana-3834	143	3	neutrosophic	neutrosophic	ADJ
cana-3834	143	4	graph	graph	NOUN
cana-3834	143	5	𝐺	𝐺	PROPN
cana-3834	143	6	,	,	PUNCT
cana-3834	143	7	a	a	DET
cana-3834	143	8	point	point	NOUN
cana-3834	143	9	set	set	VERB
cana-3834	143	10	domination	domination	NOUN
cana-3834	143	11	set	set	NOUN
cana-3834	143	12	is	be	AUX
cana-3834	143	13	minimal	minimal	ADJ
cana-3834	143	14	if	if	SCONJ
cana-3834	143	15	and	and	CCONJ
cana-3834	143	16	only	only	ADV
cana-3834	143	17	if	if	SCONJ
cana-3834	143	18	for	for	ADP
cana-3834	143	19	each	each	DET
cana-3834	143	20	vertex	vertex	NOUN
cana-3834	143	21	in	in	ADP
cana-3834	143	22	dominating	dominating	NOUN
cana-3834	143	23	set	set	VERB
cana-3834	143	24	𝑏	𝑏	PRON
cana-3834	143	25	∈	∈	PROPN
cana-3834	143	26	𝐷	𝐷	NOUN
cana-3834	143	27	one	one	NUM
cana-3834	143	28	of	of	ADP
cana-3834	143	29	the	the	DET
cana-3834	143	30	following	follow	VERB
cana-3834	143	31	conditions	condition	NOUN
cana-3834	143	32	holds	hold	VERB
cana-3834	143	33	.	.	PUNCT
cana-3834	144	1	1	1	X
cana-3834	144	2	.	.	X
cana-3834	144	3	𝑏	𝑏	PRON
cana-3834	144	4	𝑖s	𝑖s	ADV
cana-3834	144	5	independent	independent	ADJ
cana-3834	144	6	vertices	vertex	NOUN
cana-3834	144	7	in	in	ADP
cana-3834	144	8	𝐷	𝐷	PROPN
cana-3834	144	9	2	2	NUM
cana-3834	144	10	.	.	PUNCT
cana-3834	145	1	there	there	PRON
cana-3834	145	2	is	be	VERB
cana-3834	145	3	a	a	DET
cana-3834	145	4	vertex	vertex	NOUN
cana-3834	145	5	𝑢	𝑢	ADP
cana-3834	145	6	∈	∈	PROPN
cana-3834	145	7	𝑉	𝑉	PROPN
cana-3834	145	8	−	−	PROPN
cana-3834	145	9	𝐷	𝐷	PROPN
cana-3834	145	10	such	such	ADJ
cana-3834	145	11	that	that	PRON
cana-3834	145	12	𝑁(𝑢	𝑁(𝑢	NOUN
cana-3834	145	13	)	)	PUNCT
cana-3834	145	14	∩	∩	ADJ
cana-3834	145	15	𝐷	𝐷	NOUN
cana-3834	145	16	=	=	SYM
cana-3834	145	17	𝑏	𝑏	PROPN
cana-3834	145	18	proof	proof	NOUN
cana-3834	145	19	.	.	PUNCT
cana-3834	146	1	assume	assume	VERB
cana-3834	146	2	that	that	SCONJ
cana-3834	146	3	d	d	NOUN
cana-3834	146	4	is	be	AUX
cana-3834	146	5	a	a	DET
cana-3834	146	6	minimal	minimal	ADJ
cana-3834	146	7	point	point	NOUN
cana-3834	146	8	set	set	VERB
cana-3834	146	9	domination	domination	NOUN
cana-3834	146	10	of	of	ADP
cana-3834	146	11	g.	g.	PROPN
cana-3834	146	12	then	then	ADV
cana-3834	146	13	for	for	ADP
cana-3834	146	14	every	every	DET
cana-3834	146	15	vertex	vertex	NOUN
cana-3834	146	16	𝑏	𝑏	PROPN
cana-3834	146	17	∈	∈	PROPN
cana-3834	146	18	𝐷	𝐷	PROPN
cana-3834	146	19	,	,	PUNCT
cana-3834	146	20	𝐷	𝐷	PROPN
cana-3834	146	21	−	−	NOUN
cana-3834	146	22	𝑏	𝑏	PROPN
cana-3834	146	23	is	be	AUX
cana-3834	146	24	not	not	PART
cana-3834	146	25	a	a	DET
cana-3834	146	26	point	point	NOUN
cana-3834	146	27	set	set	VERB
cana-3834	146	28	dominating	dominating	NOUN
cana-3834	146	29	set	set	NOUN
cana-3834	146	30	and	and	CCONJ
cana-3834	146	31	hence	hence	ADV
cana-3834	146	32	there	there	PRON
cana-3834	146	33	exists	exist	VERB
cana-3834	146	34	𝑤	𝑤	ADP
cana-3834	146	35	∈	∈	PROPN
cana-3834	146	36	𝑉	𝑉	PROPN
cana-3834	146	37	−	−	PROPN
cana-3834	146	38	(	(	PUNCT
cana-3834	146	39	𝐷	𝐷	PROPN
cana-3834	146	40	−	−	PROPN
cana-3834	146	41	𝑏	𝑏	NOUN
cana-3834	146	42	)	)	PUNCT
cana-3834	146	43	which	which	PRON
cana-3834	146	44	is	be	AUX
cana-3834	146	45	not	not	PART
cana-3834	146	46	dominated	dominate	VERB
cana-3834	146	47	by	by	ADP
cana-3834	146	48	the	the	DET
cana-3834	146	49	vertex	vertex	NOUN
cana-3834	146	50	in	in	ADP
cana-3834	146	51	𝐷	𝐷	NOUN
cana-3834	146	52	−	−	NOUN
cana-3834	146	53	𝑏.	𝑏.	NOUN
cana-3834	146	54	if	if	SCONJ
cana-3834	146	55	𝑤	𝑤	ADP
cana-3834	146	56	=	=	SYM
cana-3834	146	57	𝑏	𝑏	NOUN
cana-3834	146	58	,	,	PUNCT
cana-3834	146	59	w	w	PROPN
cana-3834	146	60	is	be	AUX
cana-3834	146	61	not	not	PART
cana-3834	146	62	a	a	DET
cana-3834	146	63	strong	strong	ADJ
cana-3834	146	64	neighbour	neighbour	NOUN
cana-3834	146	65	of	of	ADP
cana-3834	146	66	any	any	DET
cana-3834	146	67	vertex	vertex	NOUN
cana-3834	146	68	in	in	ADP
cana-3834	146	69	𝐷.	𝐷.	PROPN
cana-3834	146	70	if	if	SCONJ
cana-3834	146	71	𝑤	𝑤	ADP
cana-3834	146	72	≠	≠	PROPN
cana-3834	146	73	𝑏	𝑏	NOUN
cana-3834	146	74	,	,	PUNCT
cana-3834	146	75	w	w	PROPN
cana-3834	146	76	is	be	AUX
cana-3834	146	77	not	not	PART
cana-3834	146	78	dominated	dominate	VERB
cana-3834	146	79	by	by	ADP
cana-3834	146	80	𝐷	𝐷	PROPN
cana-3834	146	81	−	−	PROPN
cana-3834	146	82	𝑤	𝑤	ADP
cana-3834	146	83	,	,	PUNCT
cana-3834	146	84	but	but	CCONJ
cana-3834	146	85	is	be	AUX
cana-3834	146	86	dominated	dominate	VERB
cana-3834	146	87	by	by	ADP
cana-3834	146	88	𝐷	𝐷	PROPN
cana-3834	146	89	,	,	PUNCT
cana-3834	146	90	then	then	ADV
cana-3834	146	91	the	the	DET
cana-3834	146	92	vertex	vertex	NOUN
cana-3834	146	93	𝑤	𝑤	NOUN
cana-3834	146	94	is	be	AUX
cana-3834	146	95	a	a	DET
cana-3834	146	96	strong	strong	ADJ
cana-3834	146	97	neighbor	neighbor	NOUN
cana-3834	146	98	only	only	ADV
cana-3834	146	99	to	to	ADP
cana-3834	146	100	𝑏	𝑏	PROPN
cana-3834	146	101	in	in	ADP
cana-3834	146	102	𝐷.	𝐷.	PROPN
cana-3834	146	103	that	that	PRON
cana-3834	146	104	is	be	AUX
cana-3834	146	105	𝑁(𝑤	𝑁(𝑤	PRON
cana-3834	146	106	)	)	PUNCT
cana-3834	146	107	∩	∩	ADJ
cana-3834	146	108	𝐷	𝐷	NOUN
cana-3834	146	109	=	=	NOUN
cana-3834	146	110	𝑏.	𝑏.	ADV
cana-3834	146	111	conversely	conversely	ADV
cana-3834	146	112	,	,	PUNCT
cana-3834	146	113	assume	assume	VERB
cana-3834	146	114	that	that	SCONJ
cana-3834	146	115	𝐷	𝐷	PROPN
cana-3834	146	116	is	be	AUX
cana-3834	146	117	a	a	DET
cana-3834	146	118	point	point	NOUN
cana-3834	146	119	set	set	VERB
cana-3834	146	120	neutrosophic	neutrosophic	ADJ
cana-3834	146	121	domination	domination	NOUN
cana-3834	146	122	set	set	VERB
cana-3834	146	123	for	for	ADP
cana-3834	146	124	each	each	DET
cana-3834	146	125	vertex	vertex	NOUN
cana-3834	146	126	𝑏	𝑏	PROPN
cana-3834	146	127	∈	∈	PROPN
cana-3834	146	128	𝐷	𝐷	PROPN
cana-3834	146	129	,	,	PUNCT
cana-3834	146	130	one	one	NUM
cana-3834	146	131	of	of	ADP
cana-3834	146	132	the	the	DET
cana-3834	146	133	two	two	NUM
cana-3834	146	134	condition	condition	NOUN
cana-3834	146	135	holds	hold	VERB
cana-3834	146	136	suppose	suppose	VERB
cana-3834	146	137	𝐷	𝐷	NOUN
cana-3834	146	138	is	be	AUX
cana-3834	146	139	not	not	PART
cana-3834	146	140	a	a	DET
cana-3834	146	141	minimal	minimal	ADJ
cana-3834	146	142	point	point	NOUN
cana-3834	146	143	set	set	VERB
cana-3834	146	144	neutrosophic	neutrosophic	ADJ
cana-3834	146	145	domination	domination	NOUN
cana-3834	146	146	set	set	NOUN
cana-3834	146	147	,	,	PUNCT
cana-3834	146	148	then	then	ADV
cana-3834	146	149	there	there	PRON
cana-3834	146	150	exist	exist	VERB
cana-3834	146	151	a	a	DET
cana-3834	146	152	vertex	vertex	NOUN
cana-3834	146	153	𝑏	𝑏	PRON
cana-3834	146	154	∈	∈	PROPN
cana-3834	146	155	𝐷	𝐷	PROPN
cana-3834	146	156	,	,	PUNCT
cana-3834	146	157	𝐷	𝐷	PROPN
cana-3834	146	158	−	−	NOUN
cana-3834	146	159	𝑏	𝑏	PROPN
cana-3834	146	160	is	be	AUX
cana-3834	146	161	a	a	DET
cana-3834	146	162	point	point	NOUN
cana-3834	146	163	set	set	VERB
cana-3834	146	164	neutrosophic	neutrosophic	ADJ
cana-3834	146	165	dominating	dominating	NOUN
cana-3834	146	166	set	set	NOUN
cana-3834	146	167	.	.	PUNCT
cana-3834	147	1	hence	hence	ADV
cana-3834	147	2	𝑏	𝑏	PROPN
cana-3834	147	3	is	be	AUX
cana-3834	147	4	a	a	DET
cana-3834	147	5	strong	strong	ADJ
cana-3834	147	6	neighbor	neighbor	NOUN
cana-3834	147	7	to	to	ADP
cana-3834	147	8	at	at	ADV
cana-3834	147	9	least	least	ADV
cana-3834	147	10	one	one	NUM
cana-3834	147	11	vertex	vertex	NOUN
cana-3834	147	12	in	in	ADP
cana-3834	147	13	𝐷	𝐷	PROPN
cana-3834	147	14	−	−	PROPN
cana-3834	147	15	𝑏	𝑏	NOUN
cana-3834	147	16	,	,	PUNCT
cana-3834	147	17	the	the	DET
cana-3834	147	18	condition	condition	NOUN
cana-3834	147	19	one	one	NOUN
cana-3834	147	20	does	do	AUX
cana-3834	147	21	not	not	PART
cana-3834	147	22	hold	hold	VERB
cana-3834	147	23	.	.	PUNCT
cana-3834	148	1	if	if	SCONJ
cana-3834	148	2	𝐷	𝐷	PROPN
cana-3834	148	3	−	−	PROPN
cana-3834	148	4	𝑏	𝑏	NOUN
cana-3834	148	5	,	,	PUNCT
cana-3834	148	6	the	the	DET
cana-3834	148	7	condition	condition	NOUN
cana-3834	148	8	one	one	NOUN
cana-3834	148	9	does	do	AUX
cana-3834	148	10	not	not	PART
cana-3834	148	11	hold	hold	VERB
cana-3834	148	12	.	.	PUNCT
cana-3834	149	1	if	if	SCONJ
cana-3834	149	2	𝐷	𝐷	PROPN
cana-3834	149	3	−	−	PROPN
cana-3834	149	4	𝑏	𝑏	PROPN
cana-3834	149	5	is	be	AUX
cana-3834	149	6	a	a	DET
cana-3834	149	7	point	point	NOUN
cana-3834	149	8	set	set	VERB
cana-3834	149	9	then	then	ADV
cana-3834	149	10	every	every	DET
cana-3834	149	11	vertex	vertex	NOUN
cana-3834	149	12	in	in	ADP
cana-3834	149	13	𝑉	𝑉	PROPN
cana-3834	149	14	−	−	PROPN
cana-3834	149	15	𝐷	𝐷	PROPN
cana-3834	149	16	is	be	AUX
cana-3834	149	17	a	a	DET
cana-3834	149	18	strong	strong	ADJ
cana-3834	149	19	neighbor	neighbor	NOUN
cana-3834	149	20	to	to	ADP
cana-3834	149	21	at	at	ADV
cana-3834	149	22	least	least	ADV
cana-3834	149	23	one	one	NUM
cana-3834	149	24	vertex	vertex	NOUN
cana-3834	149	25	in	in	ADP
cana-3834	149	26	𝐷	𝐷	PROPN
cana-3834	149	27	−	−	PROPN
cana-3834	149	28	𝑏	𝑏	NOUN
cana-3834	149	29	,	,	PUNCT
cana-3834	149	30	the	the	DET
cana-3834	149	31	second	second	ADJ
cana-3834	149	32	condition	condition	NOUN
cana-3834	149	33	does	do	AUX
cana-3834	149	34	not	not	PART
cana-3834	149	35	hold	hold	VERB
cana-3834	149	36	which	which	PRON
cana-3834	149	37	is	be	AUX
cana-3834	149	38	contradiction	contradiction	NOUN
cana-3834	149	39	to	to	ADP
cana-3834	149	40	our	our	PRON
cana-3834	149	41	assumption	assumption	NOUN
cana-3834	149	42	that	that	SCONJ
cana-3834	149	43	at	at	ADV
cana-3834	149	44	least	least	ADJ
cana-3834	149	45	one	one	NUM
cana-3834	149	46	of	of	ADP
cana-3834	149	47	the	the	DET
cana-3834	149	48	conditions	condition	NOUN
cana-3834	149	49	.	.	PUNCT
cana-3834	150	1	definition	definition	NOUN
cana-3834	150	2	3.14	3.14	NUM
cana-3834	150	3	.	.	PUNCT
cana-3834	151	1	lower	low	ADJ
cana-3834	151	2	point	point	NOUN
cana-3834	151	3	set	set	VERB
cana-3834	151	4	dominating	dominating	NOUN
cana-3834	151	5	number	number	NOUN
cana-3834	151	6	(	(	PUNCT
cana-3834	151	7	𝑑𝑝𝑠𝑛	𝑑𝑝𝑠𝑛	ADJ
cana-3834	151	8	)	)	PUNCT
cana-3834	151	9	of	of	ADP
cana-3834	151	10	neutrosophic	neutrosophic	ADJ
cana-3834	151	11	graph	graph	NOUN
cana-3834	151	12	g	g	PROPN
cana-3834	151	13	is	be	AUX
cana-3834	151	14	minimum	minimum	ADJ
cana-3834	151	15	cardinality	cardinality	NOUN
cana-3834	151	16	of	of	ADP
cana-3834	151	17	all	all	DET
cana-3834	151	18	minimal	minimal	ADJ
cana-3834	151	19	point	point	NOUN
cana-3834	151	20	set	set	VERB
cana-3834	151	21	dominating	dominating	NOUN
cana-3834	151	22	number	number	NOUN
cana-3834	151	23	.	.	PUNCT
cana-3834	152	1	definition	definition	NOUN
cana-3834	152	2	3.15	3.15	NUM
cana-3834	152	3	.	.	PUNCT
cana-3834	153	1	upper	upper	ADJ
cana-3834	153	2	point	point	NOUN
cana-3834	153	3	set	set	VERB
cana-3834	153	4	dominating	dominating	NOUN
cana-3834	153	5	number	number	NOUN
cana-3834	153	6	(	(	PUNCT
cana-3834	153	7	𝐷𝑝𝑠𝑛	𝐷𝑝𝑠𝑛	PROPN
cana-3834	153	8	)	)	PUNCT
cana-3834	153	9	of	of	ADP
cana-3834	153	10	neutrosophic	neutrosophic	ADJ
cana-3834	153	11	graph	graph	NOUN
cana-3834	153	12	g	g	PROPN
cana-3834	153	13	is	be	AUX
cana-3834	153	14	maximum	maximum	ADJ
cana-3834	153	15	cardinality	cardinality	NOUN
cana-3834	153	16	of	of	ADP
cana-3834	153	17	all	all	DET
cana-3834	153	18	minimal	minimal	ADJ
cana-3834	153	19	point	point	NOUN
cana-3834	153	20	set	set	VERB
cana-3834	153	21	dominating	dominating	NOUN
cana-3834	153	22	number	number	NOUN
cana-3834	153	23	.	.	PUNCT
cana-3834	154	1	4	4	X
cana-3834	154	2	.	.	X
cana-3834	154	3	conclusion	conclusion	NOUN
cana-3834	154	4	neutrosophic	neutrosophic	ADJ
cana-3834	154	5	point	point	NOUN
cana-3834	154	6	set	set	VERB
cana-3834	154	7	domination	domination	NOUN
cana-3834	154	8	set	set	NOUN
cana-3834	154	9	gives	give	VERB
cana-3834	154	10	more	more	ADV
cana-3834	154	11	efficient	efficient	ADJ
cana-3834	154	12	results	result	NOUN
cana-3834	154	13	than	than	ADP
cana-3834	154	14	other	other	ADJ
cana-3834	154	15	existing	exist	VERB
cana-3834	154	16	point	point	NOUN
cana-3834	154	17	set	set	VERB
cana-3834	154	18	domination	domination	NOUN
cana-3834	154	19	sets	set	NOUN
cana-3834	154	20	.	.	PUNCT
cana-3834	155	1	in	in	ADP
cana-3834	155	2	this	this	DET
cana-3834	155	3	proposed	propose	VERB
cana-3834	155	4	work	work	NOUN
cana-3834	155	5	,	,	PUNCT
cana-3834	155	6	the	the	DET
cana-3834	155	7	definition	definition	NOUN
cana-3834	155	8	of	of	ADP
cana-3834	155	9	point	point	NOUN
cana-3834	155	10	set	set	VERB
cana-3834	155	11	neutrosophic	neutrosophic	ADJ
cana-3834	155	12	domination	domination	NOUN
cana-3834	155	13	number	number	NOUN
cana-3834	155	14	is	be	AUX
cana-3834	155	15	defined	define	VERB
cana-3834	155	16	with	with	ADP
cana-3834	155	17	appropriate	appropriate	ADJ
cana-3834	155	18	examples	example	NOUN
cana-3834	155	19	and	and	CCONJ
cana-3834	155	20	few	few	ADJ
cana-3834	155	21	theorems	theorem	NOUN
cana-3834	155	22	and	and	CCONJ
cana-3834	155	23	bounds	bound	NOUN
cana-3834	155	24	on	on	ADP
cana-3834	155	25	point	point	NOUN
cana-3834	155	26	set	set	VERB
cana-3834	155	27	domination	domination	NOUN
cana-3834	155	28	in	in	ADP
cana-3834	155	29	neutrosophic	neutrosophic	ADJ
cana-3834	155	30	graph	graph	NOUN
cana-3834	155	31	are	be	AUX
cana-3834	155	32	developed	develop	VERB
cana-3834	155	33	.	.	PUNCT
cana-3834	156	1	in	in	ADP
cana-3834	156	2	future	future	NOUN
cana-3834	156	3	,	,	PUNCT
cana-3834	156	4	the	the	DET
cana-3834	156	5	concept	concept	NOUN
cana-3834	156	6	of	of	ADP
cana-3834	156	7	point	point	NOUN
cana-3834	156	8	set	set	VERB
cana-3834	156	9	domination	domination	NOUN
cana-3834	156	10	in	in	ADP
cana-3834	156	11	neutrosophic	neutrosophic	ADJ
cana-3834	156	12	graphs	graph	NOUN
cana-3834	156	13	will	will	AUX
cana-3834	156	14	be	be	AUX
cana-3834	156	15	extended	extend	VERB
cana-3834	156	16	and	and	CCONJ
cana-3834	156	17	applied	apply	VERB
cana-3834	156	18	to	to	ADP
cana-3834	156	19	many	many	ADJ
cana-3834	156	20	real	real	ADJ
cana-3834	156	21	-	-	PUNCT
cana-3834	156	22	life	life	NOUN
cana-3834	156	23	situation	situation	NOUN
cana-3834	156	24	problems	problem	NOUN
cana-3834	156	25	.	.	PUNCT
cana-3834	157	1	5	5	X
cana-3834	157	2	.	.	X
cana-3834	157	3	refrences	refrence	VERB
cana-3834	158	1	[	[	X
cana-3834	158	2	1	1	X
cana-3834	158	3	]	]	PUNCT
cana-3834	158	4	atanassov	atanassov	ADJ
cana-3834	158	5	,	,	PUNCT
cana-3834	158	6	intuitionistic	intuitionistic	ADJ
cana-3834	158	7	fuzzy	fuzzy	ADJ
cana-3834	158	8	sets	set	NOUN
cana-3834	158	9	,	,	PUNCT
cana-3834	158	10	fuzzy	fuzzy	ADJ
cana-3834	158	11	sets	set	NOUN
cana-3834	158	12	and	and	CCONJ
cana-3834	158	13	systems,20	systems,20	NOUN
cana-3834	158	14	,	,	PUNCT
cana-3834	158	15	pp.87	pp.87	PROPN
cana-3834	158	16	-	-	PUNCT
cana-3834	158	17	96	96	NUM
cana-3834	158	18	,	,	PUNCT
cana-3834	158	19	1986	1986	NUM
cana-3834	158	20	.	.	PUNCT
cana-3834	159	1	beginthebibliography99	beginthebibliography99	PUNCT
cana-3834	160	1	[	[	X
cana-3834	160	2	2	2	NUM
cana-3834	160	3	]	]	X
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cana-3834	160	5	.	.	PUNCT
cana-3834	161	1	c	c	X
cana-3834	161	2	,	,	PUNCT
cana-3834	161	3	graphs	graph	NOUN
cana-3834	161	4	and	and	CCONJ
cana-3834	161	5	hypergraphs	hypergraph	NOUN
cana-3834	161	6	,	,	PUNCT
cana-3834	161	7	north	north	NOUN
cana-3834	161	8	holland	holland	PROPN
cana-3834	161	9	amsterdam	amsterdam	PROPN
cana-3834	161	10	,	,	PUNCT
cana-3834	161	11	1973	1973	NUM
cana-3834	161	12	.	.	PUNCT
cana-3834	162	1	[	[	X
cana-3834	162	2	3	3	NUM
cana-3834	162	3	]	]	X
cana-3834	162	4	broumi	broumi	PROPN
cana-3834	162	5	,	,	PUNCT
cana-3834	162	6	s.	s.	PROPN
cana-3834	162	7	,	,	PUNCT
cana-3834	162	8	r.	r.	PROPN
cana-3834	162	9	sundareswaran	sundareswaran	PROPN
cana-3834	162	10	.	.	PUNCT
cana-3834	162	11	,	,	PUNCT
cana-3834	162	12	m.	m.	NOUN
cana-3834	162	13	shanmugapriya	shanmugapriya	PROPN
cana-3834	162	14	.	.	PUNCT
cana-3834	162	15	,	,	PUNCT
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cana-3834	162	17	bakali	bakali	VERB
cana-3834	162	18	.	.	PROPN
cana-3834	162	19	,	,	PUNCT
cana-3834	162	20	mo	mo	PROPN
cana-3834	162	21	-	-	ADJ
cana-3834	162	22	hamed	hamed	ADJ
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cana-3834	162	24	.	.	PUNCT
cana-3834	163	1	,	,	PUNCT
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cana-3834	163	3	and	and	CCONJ
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cana-3834	163	6	fermatean	fermatean	ADJ
cana-3834	163	7	neutrosophic	neutrosophic	ADJ
cana-3834	163	8	graphs	graph	NOUN
cana-3834	163	9	,	,	PUNCT
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cana-3834	163	11	sets	set	NOUN
cana-3834	163	12	and	and	CCONJ
cana-3834	163	13	systems	system	NOUN
cana-3834	163	14	,	,	PUNCT
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cana-3834	163	18	,	,	PUNCT
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cana-3834	163	20	.	.	PUNCT
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cana-3834	164	2	4	4	NUM
cana-3834	164	3	]	]	X
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cana-3834	164	9	,	,	PUNCT
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cana-3834	164	17	,	,	PUNCT
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cana-3834	164	19	valued	value	VERB
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cana-3834	164	21	-	-	PUNCT
cana-3834	164	22	trosophic	trosophic	ADJ
cana-3834	164	23	graphs	graph	NOUN
cana-3834	164	24	:	:	PUNCT
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cana-3834	164	30	.	.	PUNCT
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cana-3834	164	32	eee	eee	PROPN
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cana-3834	164	34	conference	conference	NOUN
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cana-3834	164	36	fuzzy	fuzzy	ADJ
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cana-3834	164	38	,	,	PUNCT
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cana-3834	164	40	-	-	PUNCT
cana-3834	164	41	2451	2451	NUM
cana-3834	164	42	,	,	PUNCT
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cana-3834	164	44	.	.	PUNCT
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cana-3834	165	2	5	5	NUM
cana-3834	165	3	]	]	SYM
cana-3834	165	4	e.j	e.j	PROPN
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cana-3834	165	15	in	in	ADP
cana-3834	165	16	graphs	graph	NOUN
cana-3834	165	17	net	net	NOUN
cana-3834	165	18	-	-	PUNCT
cana-3834	165	19	works	work	NOUN
cana-3834	165	20	,	,	PUNCT
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cana-3834	165	22	,	,	PUNCT
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cana-3834	165	24	-	-	SYM
cana-3834	165	25	261	261	NUM
cana-3834	165	26	,	,	PUNCT
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cana-3834	165	28	.	.	PUNCT
cana-3834	166	1	[	[	X
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cana-3834	166	3	]	]	X
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cana-3834	166	5	,	,	PUNCT
cana-3834	166	6	l.	l.	PROPN
cana-3834	166	7	,	,	PUNCT
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cana-3834	166	9	,	,	PUNCT
cana-3834	166	10	y.	y.	PROPN
cana-3834	166	11	,	,	PUNCT
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cana-3834	166	13	,	,	PUNCT
cana-3834	166	14	y.	y.	PROPN
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cana-3834	166	16	kumar	kumar	PROPN
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cana-3834	166	39	.	.	PUNCT
cana-3834	166	40	,	,	PUNCT
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cana-3834	166	42	,	,	PUNCT
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cana-3834	166	44	,	,	PUNCT
cana-3834	166	45	pp.551	pp.551	PROPN
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cana-3834	167	1	[	[	X
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cana-3834	167	3	]	]	SYM
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cana-3834	167	11	r.	r.	PROPN
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cana-3834	167	15	,	,	PUNCT
cana-3834	167	16	f.	f.	PROPN
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cana-3834	167	19	in	in	ADP
cana-3834	167	20	neutrosophic	neutrosophic	ADJ
cana-3834	167	21	soft	soft	ADJ
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cana-3834	167	23	,	,	PUNCT
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cana-3834	167	28	,	,	PUNCT
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cana-3834	167	33	244	244	NUM
cana-3834	167	34	(	(	PUNCT
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cana-3834	167	36	)	)	PUNCT
cana-3834	167	37	.	.	PUNCT
cana-3834	168	1	communications	communication	NOUN
cana-3834	168	2	on	on	ADP
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cana-3834	168	4	nonlinear	nonlinear	ADJ
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cana-3834	168	6	issn	issn	NOUN
cana-3834	168	7	:	:	PUNCT
cana-3834	168	8	1074	1074	NUM
cana-3834	168	9	-	-	PUNCT
cana-3834	168	10	133x	133x	NUM
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cana-3834	168	12	32	32	NUM
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cana-3834	168	14	.	.	PUNCT
cana-3834	169	1	9s	9s	NUM
cana-3834	169	2	(	(	PUNCT
cana-3834	169	3	2025	2025	NUM
cana-3834	169	4	)	)	PUNCT
cana-3834	169	5	25	25	NUM
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cana-3834	170	2	8	8	NUM
cana-3834	170	3	]	]	X
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cana-3834	170	12	.	.	PUNCT
cana-3834	170	13	,	,	PUNCT
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cana-3834	170	15	-	-	PUNCT
cana-3834	170	16	trosophic	trosophic	ADJ
cana-3834	170	17	graphs	graph	NOUN
cana-3834	170	18	:	:	PUNCT
cana-3834	170	19	a	a	DET
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cana-3834	170	21	dimension	dimension	NOUN
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cana-3834	170	23	graph	graph	VERB
cana-3834	170	24	theory	theory	NOUN
cana-3834	170	25	.	.	PUNCT
cana-3834	171	1	infinite	infinite	ADJ
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cana-3834	171	3	,	,	PUNCT
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cana-3834	171	5	.	.	PUNCT
cana-3834	172	1	[	[	X
cana-3834	172	2	9	9	NUM
cana-3834	172	3	]	]	X
cana-3834	172	4	karunambigai	karunambigai	PROPN
cana-3834	172	5	,	,	PUNCT
cana-3834	172	6	m	m	PROPN
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cana-3834	172	9	,	,	PUNCT
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cana-3834	172	11	.	.	PUNCT
cana-3834	173	1	s.	s.	PROPN
cana-3834	173	2	,	,	PUNCT
cana-3834	173	3	and	and	CCONJ
cana-3834	173	4	palanivel	palanivel	VERB
cana-3834	173	5	.k	.k	PROPN
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cana-3834	173	26	4	4	NUM
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cana-3834	173	33	,	,	PUNCT
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cana-3834	174	3	]	]	X
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cana-3834	177	3	]	]	PUNCT
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cana-3834	177	23	)	)	PUNCT
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cana-3834	178	3	]	]	PUNCT
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cana-3834	178	12	&	&	CCONJ
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cana-3834	178	17	&	&	CCONJ
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cana-3834	178	19	processes	process	NOUN
cana-3834	178	20	,	,	PUNCT
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cana-3834	180	9	)	)	PUNCT
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cana-3834	182	9	)	)	PUNCT
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cana-3834	182	12	)	)	PUNCT
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cana-3834	183	2	16	16	NUM
cana-3834	183	3	]	]	PUNCT
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cana-3834	184	3	]	]	PUNCT
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cana-3834	184	23	)	)	PUNCT
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cana-3834	185	3	]	]	PUNCT
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cana-3834	187	8	2010	2010	NUM
cana-3834	187	9	)	)	PUNCT
cana-3834	187	10	,	,	PUNCT
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cana-3834	188	18	,	,	PUNCT
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cana-3834	188	29	)	)	PUNCT
cana-3834	188	30	,	,	PUNCT
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cana-3834	188	32	-	-	SYM
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cana-3834	190	6	,	,	PUNCT
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cana-3834	190	8	-	-	ADJ
cana-3834	190	9	413	413	NUM
cana-3834	190	10	,	,	PUNCT
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cana-3834	190	12	.	.	PUNCT
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cana-3834	191	2	21	21	NUM
cana-3834	191	3	]	]	X
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cana-3834	191	44	)	)	PUNCT
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