id	sid	tid	token	lemma	pos
cana-356	1	1	communications	communication	NOUN
cana-356	1	2	on	on	ADP
cana-356	1	3	applied	apply	VERB
cana-356	1	4	nonlinear	nonlinear	ADJ
cana-356	1	5	analysis	analysis	NOUN
cana-356	1	6	issn	issn	NOUN
cana-356	1	7	:	:	PUNCT
cana-356	1	8	1074	1074	NUM
cana-356	1	9	-	-	PUNCT
cana-356	1	10	133x	133x	NUM
cana-356	1	11	vol	vol	NOUN
cana-356	1	12	31	31	NUM
cana-356	1	13	no	no	NOUN
cana-356	1	14	.	.	NOUN
cana-356	1	15	1	1	NUM
cana-356	1	16	(	(	PUNCT
cana-356	1	17	2024	2024	NUM
cana-356	1	18	)	)	PUNCT
cana-356	1	19	122	122	NUM
cana-356	2	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	2	2	bi	bi	ADJ
cana-356	2	3	-	-	ADJ
cana-356	2	4	magic	magic	ADJ
cana-356	2	5	and	and	CCONJ
cana-356	2	6	anti	anti	ADJ
cana-356	2	7	-	-	ADJ
cana-356	2	8	magic	magic	ADJ
cana-356	2	9	labeling	labeling	NOUN
cana-356	2	10	on	on	ADP
cana-356	2	11	m	m	ADJ
cana-356	2	12	-	-	ADJ
cana-356	2	13	fuzzy	fuzzy	ADJ
cana-356	2	14	graph	graph	NOUN
cana-356	2	15	suruthi	suruthi	NOUN
cana-356	2	16	.	.	PUNCT
cana-356	3	1	s1	s1	NOUN
cana-356	3	2	,	,	PUNCT
cana-356	3	3	shanmuga	shanmuga	PROPN
cana-356	3	4	sundari	sundari	X
cana-356	3	5	.	.	PUNCT
cana-356	4	1	m2	m2	PROPN
cana-356	4	2	,	,	PUNCT
cana-356	4	3	sivakami	sivakami	NOUN
cana-356	4	4	.	.	PUNCT
cana-356	5	1	l3	l3	PROPN
cana-356	5	2	*	*	PROPN
cana-356	5	3	1	1	NUM
cana-356	5	4	,	,	PUNCT
cana-356	5	5	3department	3department	NUM
cana-356	5	6	of	of	ADP
cana-356	5	7	mathematics	mathematic	NOUN
cana-356	5	8	and	and	CCONJ
cana-356	5	9	statistics	statistic	NOUN
cana-356	5	10	,	,	PUNCT
cana-356	5	11	faculty	faculty	NOUN
cana-356	5	12	of	of	ADP
cana-356	5	13	science	science	NOUN
cana-356	5	14	and	and	CCONJ
cana-356	5	15	humanities	humanity	NOUN
cana-356	5	16	,	,	PUNCT
cana-356	5	17	srm	srm	PROPN
cana-356	5	18	institute	institute	PROPN
cana-356	5	19	of	of	ADP
cana-356	5	20	science	science	NOUN
cana-356	5	21	and	and	CCONJ
cana-356	5	22	technology	technology	NOUN
cana-356	5	23	,	,	PUNCT
cana-356	5	24	kattankulathur603203	kattankulathur603203	PROPN
cana-356	5	25	,	,	PUNCT
cana-356	5	26	chengalpattu	chengalpattu	ADJ
cana-356	5	27	district	district	NOUN
cana-356	5	28	,	,	PUNCT
cana-356	5	29	tamil	tamil	PROPN
cana-356	5	30	nadu	nadu	PROPN
cana-356	5	31	,	,	PUNCT
cana-356	5	32	india	india	PROPN
cana-356	5	33	2department	2department	PROPN
cana-356	5	34	of	of	ADP
cana-356	5	35	mathematics	mathematic	NOUN
cana-356	5	36	,	,	PUNCT
cana-356	5	37	sir	sir	NOUN
cana-356	5	38	theagaraya	theagaraya	PROPN
cana-356	5	39	college	college	PROPN
cana-356	5	40	,	,	PUNCT
cana-356	5	41	chennai600021	chennai600021	PROPN
cana-356	5	42	,	,	PUNCT
cana-356	5	43	tamil	tamil	PROPN
cana-356	5	44	nadu	nadu	PROPN
cana-356	5	45	,	,	PUNCT
cana-356	5	46	india	india	PROPN
cana-356	5	47	1e	1e	PROPN
cana-356	5	48	mail	mail	NOUN
cana-356	6	1	i	i	PROPN
cana-356	6	2	d	d	PROPN
cana-356	6	3	:	:	PUNCT
cana-356	6	4	ss5112@srmist.edu.in	ss5112@srmist.edu.in	PROPN
cana-356	6	5	2e	2e	NUM
cana-356	6	6	mail	mail	NOUN
cana-356	6	7	i	i	NOUN
cana-356	6	8	d	d	PROPN
cana-356	6	9	:	:	PUNCT
cana-356	6	10	shanmugasundarim@stcchennai.edu.in	shanmugasundarim@stcchennai.edu.in	PROPN
cana-356	6	11	3*corresponding	3*corresponding	NOUN
cana-356	6	12	author	author	NOUN
cana-356	6	13	e	e	NOUN
cana-356	6	14	mail	mail	NOUN
cana-356	7	1	i	i	PROPN
cana-356	7	2	d	d	PROPN
cana-356	7	3	:	:	PUNCT
cana-356	7	4	sivakaml@srmist.edu.in	sivakaml@srmist.edu.in	NOUN
cana-356	7	5	article	article	NOUN
cana-356	7	6	history	history	NOUN
cana-356	7	7	:	:	PUNCT
cana-356	7	8	received	receive	VERB
cana-356	7	9	:	:	PUNCT
cana-356	7	10	30	30	NUM
cana-356	7	11	-	-	SYM
cana-356	7	12	09	09	NUM
cana-356	7	13	-	-	PUNCT
cana-356	7	14	2023	2023	NUM
cana-356	7	15	revised	revise	VERB
cana-356	7	16	:	:	PUNCT
cana-356	7	17	04	04	NUM
cana-356	7	18	-	-	SYM
cana-356	7	19	11	11	NUM
cana-356	7	20	-	-	SYM
cana-356	7	21	2023	2023	NUM
cana-356	7	22	accepted	accept	VERB
cana-356	7	23	:	:	PUNCT
cana-356	7	24	25	25	NUM
cana-356	7	25	-	-	SYM
cana-356	7	26	11	11	NUM
cana-356	7	27	-	-	SYM
cana-356	7	28	2023	2023	NUM
cana-356	7	29	abstract	abstract	NOUN
cana-356	7	30	:	:	PUNCT
cana-356	7	31	the	the	DET
cana-356	7	32	conceptions	conception	NOUN
cana-356	7	33	of	of	ADP
cana-356	7	34	m	m	NOUN
cana-356	7	35	-	-	ADJ
cana-356	7	36	fuzzy	fuzzy	ADJ
cana-356	7	37	anti	anti	ADJ
cana-356	7	38	-	-	ADJ
cana-356	7	39	magic	magic	ADJ
cana-356	7	40	and	and	CCONJ
cana-356	7	41	m	m	NOUN
cana-356	7	42	-	-	ADJ
cana-356	7	43	fuzzy	fuzzy	ADJ
cana-356	7	44	bi	bi	ADJ
cana-356	7	45	-	-	ADJ
cana-356	7	46	magic	magic	ADJ
cana-356	7	47	labeling	labeling	NOUN
cana-356	7	48	are	be	AUX
cana-356	7	49	developed	develop	VERB
cana-356	7	50	by	by	ADP
cana-356	7	51	the	the	DET
cana-356	7	52	proposed	propose	VERB
cana-356	7	53	algorithms	algorithm	NOUN
cana-356	7	54	.	.	PUNCT
cana-356	8	1	m	m	NOUN
cana-356	8	2	-	-	ADJ
cana-356	8	3	fuzzy	fuzzy	ADJ
cana-356	8	4	anti	anti	ADJ
cana-356	8	5	-	-	ADJ
cana-356	8	6	magic	magic	ADJ
cana-356	8	7	labeling	labeling	NOUN
cana-356	8	8	for	for	ADP
cana-356	8	9	standard	standard	ADJ
cana-356	8	10	graphs	graph	NOUN
cana-356	8	11	such	such	ADJ
cana-356	8	12	as	as	ADP
cana-356	8	13	star	star	NOUN
cana-356	8	14	and	and	CCONJ
cana-356	8	15	path	path	NOUN
cana-356	8	16	graph	graph	NOUN
cana-356	8	17	explained	explain	VERB
cana-356	8	18	.	.	PUNCT
cana-356	9	1	m	m	ADJ
cana-356	9	2	-	-	ADJ
cana-356	9	3	fuzzy	fuzzy	ADJ
cana-356	9	4	bi	bi	ADJ
cana-356	9	5	-	-	ADJ
cana-356	9	6	magic	magic	ADJ
cana-356	9	7	labeling	labeling	NOUN
cana-356	9	8	for	for	ADP
cana-356	9	9	a	a	DET
cana-356	9	10	few	few	ADJ
cana-356	9	11	graphs	graph	NOUN
cana-356	9	12	such	such	ADJ
cana-356	9	13	as	as	ADP
cana-356	9	14	star	star	NOUN
cana-356	9	15	and	and	CCONJ
cana-356	9	16	bi	bi	NOUN
cana-356	9	17	-	-	NOUN
cana-356	9	18	star	star	NOUN
cana-356	9	19	is	be	AUX
cana-356	9	20	determined	determine	VERB
cana-356	9	21	.	.	PUNCT
cana-356	10	1	also	also	ADV
cana-356	10	2	,	,	PUNCT
cana-356	10	3	we	we	PRON
cana-356	10	4	explored	explore	VERB
cana-356	10	5	the	the	DET
cana-356	10	6	characteristics	characteristic	NOUN
cana-356	10	7	of	of	ADP
cana-356	10	8	such	such	ADJ
cana-356	10	9	labeling	labeling	NOUN
cana-356	10	10	applied	apply	VERB
cana-356	10	11	to	to	ADP
cana-356	10	12	these	these	DET
cana-356	10	13	graphs	graph	NOUN
cana-356	10	14	.	.	PUNCT
cana-356	11	1	keywords	keyword	NOUN
cana-356	11	2	:	:	PUNCT
cana-356	11	3	m	m	ADJ
cana-356	11	4	-	-	ADJ
cana-356	11	5	fuzzy	fuzzy	ADJ
cana-356	11	6	graph	graph	NOUN
cana-356	11	7	,	,	PUNCT
cana-356	11	8	m	m	NOUN
cana-356	11	9	-	-	ADJ
cana-356	11	10	fuzzy	fuzzy	ADJ
cana-356	11	11	labeling	labeling	NOUN
cana-356	11	12	,	,	PUNCT
cana-356	11	13	m	m	NOUN
cana-356	11	14	-	-	ADJ
cana-356	11	15	fuzzy	fuzzy	ADJ
cana-356	11	16	edge	edge	NOUN
cana-356	11	17	anti	anti	ADJ
cana-356	11	18	-	-	ADJ
cana-356	11	19	magic	magic	ADJ
cana-356	11	20	graph	graph	NOUN
cana-356	11	21	,	,	PUNCT
cana-356	11	22	mfuzzy	mfuzzy	ADJ
cana-356	11	23	vertex	vertex	NOUN
cana-356	11	24	anti	anti	ADJ
cana-356	11	25	-	-	ADJ
cana-356	11	26	magic	magic	ADJ
cana-356	11	27	graph	graph	NOUN
cana-356	11	28	.	.	PUNCT
cana-356	12	1	1	1	X
cana-356	12	2	.	.	X
cana-356	12	3	introduction	introduction	NOUN
cana-356	12	4	real	real	ADJ
cana-356	12	5	world	world	NOUN
cana-356	12	6	problems	problem	NOUN
cana-356	12	7	are	be	AUX
cana-356	12	8	often	often	ADV
cana-356	12	9	represented	represent	VERB
cana-356	12	10	with	with	ADP
cana-356	12	11	graph	graph	NOUN
cana-356	12	12	theory	theory	NOUN
cana-356	12	13	.	.	PUNCT
cana-356	13	1	because	because	SCONJ
cana-356	13	2	of	of	ADP
cana-356	13	3	uncertainties	uncertainty	NOUN
cana-356	13	4	or	or	CCONJ
cana-356	13	5	haziness	haziness	NOUN
cana-356	13	6	in	in	ADP
cana-356	13	7	system	system	NOUN
cana-356	13	8	parameters	parameter	NOUN
cana-356	13	9	,	,	PUNCT
cana-356	13	10	graphs	graph	NOUN
cana-356	13	11	do	do	AUX
cana-356	13	12	not	not	PART
cana-356	13	13	properly	properly	ADV
cana-356	13	14	represent	represent	VERB
cana-356	13	15	all	all	DET
cana-356	13	16	systems	system	NOUN
cana-356	13	17	nowadays	nowadays	ADV
cana-356	13	18	.	.	PUNCT
cana-356	14	1	graphs	graph	NOUN
cana-356	14	2	can	can	AUX
cana-356	14	3	represent	represent	VERB
cana-356	14	4	social	social	ADJ
cana-356	14	5	networks	network	NOUN
cana-356	14	6	,	,	PUNCT
cana-356	14	7	for	for	ADP
cana-356	14	8	example	example	NOUN
cana-356	14	9	,	,	PUNCT
cana-356	14	10	by	by	ADP
cana-356	14	11	representing	represent	VERB
cana-356	14	12	the	the	DET
cana-356	14	13	accounts	account	NOUN
cana-356	14	14	(	(	PUNCT
cana-356	14	15	people	people	NOUN
cana-356	14	16	,	,	PUNCT
cana-356	14	17	institutions	institution	NOUN
cana-356	14	18	,	,	PUNCT
cana-356	14	19	etc	etc	X
cana-356	14	20	.	.	X
cana-356	14	21	)	)	PUNCT
cana-356	14	22	as	as	ADP
cana-356	14	23	vertices	vertex	NOUN
cana-356	14	24	and	and	CCONJ
cana-356	14	25	the	the	DET
cana-356	14	26	relations	relation	NOUN
cana-356	14	27	between	between	ADP
cana-356	14	28	the	the	DET
cana-356	14	29	accounts	account	NOUN
cana-356	14	30	as	as	ADP
cana-356	14	31	edges	edge	NOUN
cana-356	14	32	.	.	PUNCT
cana-356	15	1	the	the	DET
cana-356	15	2	accuracy	accuracy	NOUN
cana-356	15	3	of	of	ADP
cana-356	15	4	representation	representation	NOUN
cana-356	15	5	should	should	AUX
cana-356	15	6	be	be	AUX
cana-356	15	7	enhanced	enhance	VERB
cana-356	15	8	by	by	ADP
cana-356	15	9	fuzziness	fuzziness	NOUN
cana-356	15	10	if	if	SCONJ
cana-356	15	11	the	the	DET
cana-356	15	12	relations	relation	NOUN
cana-356	15	13	among	among	ADP
cana-356	15	14	accounts	account	NOUN
cana-356	15	15	are	be	AUX
cana-356	15	16	measured	measure	VERB
cana-356	15	17	by	by	ADP
cana-356	15	18	their	their	PRON
cana-356	15	19	frequency	frequency	NOUN
cana-356	15	20	of	of	ADP
cana-356	15	21	contact	contact	NOUN
cana-356	15	22	.	.	PUNCT
cana-356	16	1	rosenfeld	rosenfeld	PROPN
cana-356	17	1	[	[	X
cana-356	17	2	2	2	NUM
cana-356	17	3	]	]	PUNCT
cana-356	17	4	introduced	introduce	VERB
cana-356	17	5	fuzzy	fuzzy	ADJ
cana-356	17	6	graphs	graph	NOUN
cana-356	17	7	for	for	ADP
cana-356	17	8	the	the	DET
cana-356	17	9	first	first	ADJ
cana-356	17	10	time	time	NOUN
cana-356	17	11	.	.	PUNCT
cana-356	18	1	a	a	DET
cana-356	18	2	wealth	wealth	NOUN
cana-356	18	3	of	of	ADP
cana-356	18	4	research	research	NOUN
cana-356	18	5	is	be	AUX
cana-356	18	6	conducted	conduct	VERB
cana-356	18	7	in	in	ADP
cana-356	18	8	fuzzy	fuzzy	ADJ
cana-356	18	9	graph	graph	NOUN
cana-356	18	10	theory	theory	NOUN
cana-356	18	11	after	after	ADP
cana-356	18	12	that	that	PRON
cana-356	18	13	.	.	PUNCT
cana-356	19	1	crisp	crisp	ADJ
cana-356	19	2	graphs	graph	NOUN
cana-356	19	3	and	and	CCONJ
cana-356	19	4	fuzzy	fuzzy	ADJ
cana-356	19	5	graphs	graph	NOUN
cana-356	19	6	have	have	VERB
cana-356	19	7	similar	similar	ADJ
cana-356	19	8	structural	structural	ADJ
cana-356	19	9	features	feature	NOUN
cana-356	19	10	.	.	PUNCT
cana-356	20	1	there	there	PRON
cana-356	20	2	is	be	VERB
cana-356	20	3	a	a	DET
cana-356	20	4	separate	separate	ADJ
cana-356	20	5	importance	importance	NOUN
cana-356	20	6	to	to	ADP
cana-356	20	7	fuzzy	fuzzy	ADJ
cana-356	20	8	graphs	graph	NOUN
cana-356	20	9	when	when	SCONJ
cana-356	20	10	there	there	PRON
cana-356	20	11	is	be	VERB
cana-356	20	12	uncertainty	uncertainty	NOUN
cana-356	20	13	about	about	ADP
cana-356	20	14	vertices	vertex	NOUN
cana-356	20	15	and	and	CCONJ
cana-356	20	16	edges	edge	NOUN
cana-356	20	17	.	.	PUNCT
cana-356	21	1	in	in	ADP
cana-356	21	2	real	real	ADJ
cana-356	21	3	life	life	NOUN
cana-356	21	4	,	,	PUNCT
cana-356	21	5	fuzzy	fuzzy	ADJ
cana-356	21	6	graphs	graph	NOUN
cana-356	21	7	are	be	AUX
cana-356	21	8	found	find	VERB
cana-356	21	9	in	in	ADP
cana-356	21	10	many	many	ADJ
cana-356	21	11	situations	situation	NOUN
cana-356	21	12	since	since	SCONJ
cana-356	21	13	the	the	DET
cana-356	21	14	world	world	NOUN
cana-356	21	15	is	be	AUX
cana-356	21	16	filled	fill	VERB
cana-356	21	17	with	with	ADP
cana-356	21	18	uncertainty	uncertainty	NOUN
cana-356	21	19	.	.	PUNCT
cana-356	22	1	in	in	ADP
cana-356	22	2	fuzzy	fuzzy	ADJ
cana-356	22	3	graph	graph	NOUN
cana-356	22	4	theory	theory	NOUN
cana-356	22	5	,	,	PUNCT
cana-356	22	6	there	there	PRON
cana-356	22	7	are	be	VERB
cana-356	22	8	a	a	DET
cana-356	22	9	variety	variety	NOUN
cana-356	22	10	of	of	ADP
cana-356	22	11	branches	branch	NOUN
cana-356	22	12	that	that	PRON
cana-356	22	13	can	can	AUX
cana-356	22	14	be	be	AUX
cana-356	22	15	explored	explore	VERB
cana-356	22	16	.	.	PUNCT
cana-356	23	1	fuzzy	fuzzy	ADJ
cana-356	23	2	labeling	labeling	NOUN
cana-356	23	3	graph	graph	NOUN
cana-356	23	4	(	(	PUNCT
cana-356	23	5	flg	flg	PROPN
cana-356	23	6	)	)	PUNCT
cana-356	23	7	is	be	AUX
cana-356	23	8	a	a	DET
cana-356	23	9	rapidly	rapidly	ADV
cana-356	23	10	evolving	evolve	VERB
cana-356	23	11	area	area	NOUN
cana-356	23	12	of	of	ADP
cana-356	23	13	research	research	NOUN
cana-356	23	14	in	in	ADP
cana-356	23	15	the	the	DET
cana-356	23	16	field	field	NOUN
cana-356	23	17	of	of	ADP
cana-356	23	18	graph	graph	NOUN
cana-356	23	19	theory	theory	NOUN
cana-356	23	20	that	that	PRON
cana-356	23	21	has	have	AUX
cana-356	23	22	procured	procure	VERB
cana-356	23	23	considerable	considerable	ADJ
cana-356	23	24	notice	notice	NOUN
cana-356	23	25	in	in	ADP
cana-356	23	26	recent	recent	ADJ
cana-356	23	27	years	year	NOUN
cana-356	23	28	because	because	SCONJ
cana-356	23	29	of	of	ADP
cana-356	23	30	its	its	PRON
cana-356	23	31	remarkable	remarkable	ADJ
cana-356	23	32	real	real	ADJ
cana-356	23	33	-	-	PUNCT
cana-356	23	34	world	world	NOUN
cana-356	23	35	applications	application	NOUN
cana-356	23	36	.	.	PUNCT
cana-356	24	1	in	in	ADP
cana-356	24	2	essence	essence	NOUN
cana-356	24	3	,	,	PUNCT
cana-356	24	4	it	it	PRON
cana-356	24	5	involves	involve	VERB
cana-356	24	6	assigning	assign	VERB
cana-356	24	7	numerical	numerical	ADJ
cana-356	24	8	values	value	NOUN
cana-356	24	9	,	,	PUNCT
cana-356	24	10	or	or	CCONJ
cana-356	24	11	labels	label	NOUN
cana-356	24	12	,	,	PUNCT
cana-356	24	13	to	to	ADP
cana-356	24	14	the	the	DET
cana-356	24	15	edges	edge	NOUN
cana-356	24	16	or	or	CCONJ
cana-356	24	17	vertices	vertex	NOUN
cana-356	24	18	of	of	ADP
cana-356	24	19	a	a	DET
cana-356	24	20	fuzzy	fuzzy	ADJ
cana-356	24	21	graph	graph	NOUN
cana-356	24	22	(	(	PUNCT
cana-356	24	23	fg	fg	NOUN
cana-356	24	24	)	)	PUNCT
cana-356	24	25	,	,	PUNCT
cana-356	24	26	where	where	SCONJ
cana-356	24	27	the	the	DET
cana-356	24	28	labels	label	NOUN
cana-356	24	29	are	be	AUX
cana-356	24	30	allowed	allow	VERB
cana-356	24	31	to	to	PART
cana-356	24	32	take	take	VERB
cana-356	24	33	on	on	ADP
cana-356	24	34	imprecise	imprecise	ADV
cana-356	24	35	or	or	CCONJ
cana-356	24	36	uncertain	uncertain	ADJ
cana-356	24	37	values	value	NOUN
cana-356	24	38	.	.	PUNCT
cana-356	25	1	this	this	PRON
cana-356	25	2	enables	enable	VERB
cana-356	25	3	fuzzy	fuzzy	ADJ
cana-356	25	4	graph	graph	NOUN
cana-356	25	5	labeling	labeling	NOUN
cana-356	25	6	to	to	ADP
cana-356	25	7	model	model	NOUN
cana-356	25	8	complex	complex	ADJ
cana-356	25	9	systems	system	NOUN
cana-356	25	10	that	that	PRON
cana-356	25	11	are	be	AUX
cana-356	25	12	inherently	inherently	ADV
cana-356	25	13	uncertain	uncertain	ADJ
cana-356	25	14	,	,	PUNCT
cana-356	25	15	such	such	ADJ
cana-356	25	16	as	as	ADP
cana-356	25	17	social	social	ADJ
cana-356	25	18	networks	network	NOUN
cana-356	25	19	,	,	PUNCT
cana-356	25	20	biological	biological	ADJ
cana-356	25	21	systems	system	NOUN
cana-356	25	22	,	,	PUNCT
cana-356	25	23	and	and	CCONJ
cana-356	25	24	computer	computer	NOUN
cana-356	25	25	networks	network	NOUN
cana-356	25	26	.	.	PUNCT
cana-356	26	1	gallian	gallian	ADJ
cana-356	26	2	[	[	X
cana-356	26	3	1	1	X
cana-356	26	4	]	]	PUNCT
cana-356	26	5	discussed	discuss	VERB
cana-356	26	6	more	more	ADJ
cana-356	26	7	graph	graph	NOUN
cana-356	26	8	labeling	labeling	NOUN
cana-356	26	9	in	in	ADP
cana-356	26	10	his	his	PRON
cana-356	26	11	dynamic	dynamic	ADJ
cana-356	26	12	survey	survey	NOUN
cana-356	26	13	of	of	ADP
cana-356	26	14	graph	graph	NOUN
cana-356	26	15	labeling	labeling	NOUN
cana-356	26	16	.	.	PUNCT
cana-356	27	1	an	an	DET
cana-356	27	2	anti	anti	ADJ
cana-356	27	3	-	-	ADJ
cana-356	27	4	magic	magic	ADJ
cana-356	27	5	graph	graph	NOUN
cana-356	27	6	was	be	AUX
cana-356	27	7	first	first	ADV
cana-356	27	8	introduced	introduce	VERB
cana-356	27	9	in	in	ADP
cana-356	27	10	1990	1990	NUM
cana-356	27	11	by	by	ADP
cana-356	27	12	hartsfield	hartsfield	PROPN
cana-356	27	13	and	and	CCONJ
cana-356	27	14	ringel	ringel	NOUN
cana-356	27	15	[	[	X
cana-356	27	16	13	13	NUM
cana-356	27	17	]	]	PUNCT
cana-356	27	18	.	.	PUNCT
cana-356	28	1	nagoorgani	nagoorgani	PROPN
cana-356	28	2	et	et	PROPN
cana-356	28	3	al	al	PROPN
cana-356	28	4	.	.	PROPN
cana-356	28	5	,	,	PUNCT
cana-356	29	1	[	[	X
cana-356	29	2	4	4	X
cana-356	29	3	]	]	PUNCT
cana-356	29	4	presented	present	VERB
cana-356	29	5	the	the	DET
cana-356	29	6	novel	novel	ADJ
cana-356	29	7	idea	idea	NOUN
cana-356	29	8	of	of	ADP
cana-356	29	9	fuzzy	fuzzy	ADJ
cana-356	29	10	labeling	labeling	NOUN
cana-356	29	11	,	,	PUNCT
cana-356	29	12	while	while	SCONJ
cana-356	29	13	basker	basker	NOUN
cana-356	29	14	babujee	babujee	NOUN
cana-356	30	1	[	[	X
cana-356	30	2	8	8	NUM
cana-356	30	3	]	]	PUNCT
cana-356	30	4	presented	present	VERB
cana-356	30	5	the	the	DET
cana-356	30	6	concept	concept	NOUN
cana-356	30	7	of	of	ADP
cana-356	30	8	bi	bi	ADJ
cana-356	30	9	-	-	ADJ
cana-356	30	10	magic	magic	ADJ
cana-356	30	11	labeling	labeling	NOUN
cana-356	30	12	,	,	PUNCT
cana-356	30	13	which	which	PRON
cana-356	30	14	involves	involve	VERB
cana-356	30	15	the	the	DET
cana-356	30	16	identification	identification	NOUN
cana-356	30	17	of	of	ADP
cana-356	30	18	two	two	NUM
cana-356	30	19	magic	magic	ADJ
cana-356	30	20	values	value	NOUN
cana-356	30	21	.	.	PUNCT
cana-356	31	1	prathap	prathap	PROPN
cana-356	31	2	et	et	PROPN
cana-356	31	3	al	al	PROPN
cana-356	31	4	.	.	PROPN
cana-356	31	5	,	,	PUNCT
cana-356	32	1	[	[	X
cana-356	32	2	15	15	NUM
cana-356	32	3	]	]	PUNCT
cana-356	32	4	also	also	ADV
cana-356	32	5	postulated	postulate	VERB
cana-356	32	6	bi	bi	ADJ
cana-356	32	7	magic	magic	NOUN
cana-356	32	8	labeling	labeling	NOUN
cana-356	32	9	for	for	ADP
cana-356	32	10	cycle	cycle	NOUN
cana-356	32	11	related	relate	VERB
cana-356	32	12	graph	graph	NOUN
cana-356	32	13	.	.	PUNCT
cana-356	33	1	bibi	bibi	PROPN
cana-356	33	2	et	et	PROPN
cana-356	33	3	al	al	PROPN
cana-356	33	4	.	.	PROPN
cana-356	33	5	,	,	PUNCT
cana-356	34	1	[	[	X
cana-356	34	2	6	6	NUM
cana-356	34	3	]	]	PUNCT
cana-356	34	4	discussed	discuss	VERB
cana-356	34	5	the	the	DET
cana-356	34	6	fuzzy	fuzzy	ADJ
cana-356	34	7	vertex	vertex	NOUN
cana-356	34	8	graceful	graceful	ADJ
cana-356	34	9	labeling	labeling	NOUN
cana-356	34	10	for	for	ADP
cana-356	34	11	some	some	DET
cana-356	34	12	family	family	NOUN
cana-356	34	13	of	of	ADP
cana-356	34	14	graphs	graph	NOUN
cana-356	34	15	.	.	PUNCT
cana-356	35	1	devi	devi	PROPN
cana-356	35	2	et	et	PROPN
cana-356	35	3	al	al	PROPN
cana-356	35	4	.	.	PROPN
cana-356	35	5	,	,	PUNCT
cana-356	36	1	[	[	X
cana-356	36	2	7	7	X
cana-356	36	3	]	]	PUNCT
cana-356	36	4	developed	develop	VERB
cana-356	36	5	the	the	DET
cana-356	36	6	idea	idea	NOUN
cana-356	36	7	of	of	ADP
cana-356	36	8	fuzzy	fuzzy	ADJ
cana-356	36	9	bi	bi	ADJ
cana-356	36	10	-	-	ADJ
cana-356	36	11	magic	magic	ADJ
cana-356	36	12	communications	communication	NOUN
cana-356	36	13	on	on	ADP
cana-356	36	14	applied	apply	VERB
cana-356	36	15	nonlinear	nonlinear	ADJ
cana-356	36	16	analysis	analysis	NOUN
cana-356	36	17	issn	issn	NOUN
cana-356	36	18	:	:	PUNCT
cana-356	36	19	1074	1074	NUM
cana-356	36	20	-	-	PUNCT
cana-356	36	21	133x	133x	NUM
cana-356	36	22	vol	vol	NOUN
cana-356	36	23	31	31	NUM
cana-356	36	24	no	no	NOUN
cana-356	36	25	.	.	NOUN
cana-356	36	26	1	1	NUM
cana-356	36	27	(	(	PUNCT
cana-356	36	28	2024	2024	NUM
cana-356	36	29	)	)	PUNCT
cana-356	36	30	123	123	NUM
cana-356	36	31	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	36	32	(	(	PUNCT
cana-356	36	33	fbm	fbm	NOUN
cana-356	36	34	)	)	PUNCT
cana-356	36	35	labeling	labeling	NOUN
cana-356	36	36	.	.	PUNCT
cana-356	37	1	devi	devi	PROPN
cana-356	37	2	et	et	PROPN
cana-356	37	3	al	al	PROPN
cana-356	37	4	.	.	PROPN
cana-356	37	5	,	,	PUNCT
cana-356	38	1	[	[	X
cana-356	38	2	5	5	NUM
cana-356	38	3	]	]	PUNCT
cana-356	38	4	postulated	postulate	VERB
cana-356	38	5	the	the	DET
cana-356	38	6	idea	idea	NOUN
cana-356	38	7	of	of	ADP
cana-356	38	8	fuzzy	fuzzy	ADJ
cana-356	38	9	antimagic	antimagic	ADJ
cana-356	38	10	labeling	labeling	NOUN
cana-356	38	11	.	.	PUNCT
cana-356	39	1	sujatha	sujatha	PROPN
cana-356	39	2	n	n	SYM
cana-356	39	3	,	,	PUNCT
cana-356	39	4	dharman	dharman	NOUN
cana-356	39	5	,	,	PUNCT
cana-356	39	6	thirusangu	thirusangu	NOUN
cana-356	40	1	[	[	X
cana-356	40	2	9	9	NUM
cana-356	40	3	]	]	PUNCT
cana-356	40	4	proposed	propose	VERB
cana-356	40	5	triangular	triangular	NOUN
cana-356	40	6	anti	anti	ADJ
cana-356	40	7	-	-	ADJ
cana-356	40	8	magic	magic	ADJ
cana-356	40	9	fuzzy	fuzzy	ADJ
cana-356	40	10	labeling	labeling	NOUN
cana-356	40	11	in	in	ADP
cana-356	40	12	an	an	DET
cana-356	40	13	algorithmic	algorithmic	ADJ
cana-356	40	14	approach	approach	NOUN
cana-356	40	15	for	for	ADP
cana-356	40	16	some	some	DET
cana-356	40	17	standard	standard	ADJ
cana-356	40	18	graphs	graph	NOUN
cana-356	40	19	.	.	PUNCT
cana-356	41	1	thirusangu	thirusangu	NOUN
cana-356	41	2	et	et	PROPN
cana-356	41	3	al	al	PROPN
cana-356	41	4	.	.	PROPN
cana-356	41	5	,	,	PUNCT
cana-356	42	1	[	[	X
cana-356	42	2	10	10	NUM
cana-356	42	3	]	]	PUNCT
cana-356	42	4	developed	develop	VERB
cana-356	42	5	fuzzy	fuzzy	ADJ
cana-356	42	6	bimagic	bimagic	NOUN
cana-356	42	7	and	and	CCONJ
cana-356	42	8	antimagic	antimagic	ADJ
cana-356	42	9	labeling	labeling	NOUN
cana-356	42	10	for	for	ADP
cana-356	42	11	star	star	NOUN
cana-356	42	12	graphs	graph	NOUN
cana-356	42	13	.	.	PUNCT
cana-356	43	1	bharathi	bharathi	PROPN
cana-356	43	2	et	et	PROPN
cana-356	43	3	al	al	PROPN
cana-356	43	4	.	.	PROPN
cana-356	43	5	,	,	PUNCT
cana-356	44	1	[	[	X
cana-356	44	2	14	14	NUM
cana-356	44	3	]	]	PUNCT
cana-356	44	4	developed	develop	VERB
cana-356	44	5	the	the	DET
cana-356	44	6	fuzzy	fuzzy	ADJ
cana-356	44	7	proper	proper	ADJ
cana-356	44	8	bi	bi	ADJ
cana-356	44	9	magic	magic	NOUN
cana-356	44	10	labeling	labeling	NOUN
cana-356	44	11	for	for	ADP
cana-356	44	12	tadpole	tadpole	NOUN
cana-356	44	13	graph	graph	NOUN
cana-356	44	14	.	.	PUNCT
cana-356	45	1	jahir	jahir	PROPN
cana-356	45	2	hussain	hussain	PROPN
cana-356	45	3	et	et	PROPN
cana-356	45	4	al	al	PROPN
cana-356	45	5	.	.	PROPN
cana-356	45	6	,	,	PUNCT
cana-356	46	1	[	[	X
cana-356	46	2	11	11	NUM
cana-356	46	3	]	]	PUNCT
cana-356	46	4	proposed	propose	VERB
cana-356	46	5	a	a	DET
cana-356	46	6	new	new	ADJ
cana-356	46	7	class	class	NOUN
cana-356	46	8	of	of	ADP
cana-356	46	9	fuzzy	fuzzy	ADJ
cana-356	46	10	graph	graph	NOUN
cana-356	46	11	.	.	PUNCT
cana-356	47	1	shyamala	shyamala	PROPN
cana-356	47	2	malini	malini	PROPN
cana-356	47	3	and	and	CCONJ
cana-356	47	4	prathika	prathika	X
cana-356	48	1	[	[	X
cana-356	48	2	12	12	NUM
cana-356	48	3	]	]	PUNCT
cana-356	48	4	developed	develop	VERB
cana-356	48	5	the	the	DET
cana-356	48	6	idea	idea	NOUN
cana-356	48	7	of	of	ADP
cana-356	48	8	m	m	NOUN
cana-356	48	9	-	-	ADJ
cana-356	48	10	fuzzy	fuzzy	ADJ
cana-356	48	11	magic	magic	ADJ
cana-356	48	12	labeling	labeling	NOUN
cana-356	48	13	for	for	ADP
cana-356	48	14	special	special	ADJ
cana-356	48	15	graphs	graph	NOUN
cana-356	48	16	.	.	PUNCT
cana-356	49	1	in	in	ADP
cana-356	49	2	this	this	DET
cana-356	49	3	article	article	NOUN
cana-356	49	4	,	,	PUNCT
cana-356	49	5	we	we	PRON
cana-356	49	6	present	present	VERB
cana-356	49	7	the	the	DET
cana-356	49	8	existence	existence	NOUN
cana-356	49	9	of	of	ADP
cana-356	49	10	mfuzzy	mfuzzy	ADJ
cana-356	49	11	edge(vertex	edge(vertex	PROPN
cana-356	49	12	)	)	PUNCT
cana-356	49	13	antimagic	antimagic	ADJ
cana-356	49	14	labeling	labeling	NOUN
cana-356	49	15	(	(	PUNCT
cana-356	49	16	m	m	NOUN
cana-356	49	17	-	-	NOUN
cana-356	49	18	feam	feam	NOUN
cana-356	49	19	and	and	CCONJ
cana-356	49	20	m	m	NOUN
cana-356	49	21	-	-	PUNCT
cana-356	49	22	fvam	fvam	NOUN
cana-356	49	23	)	)	PUNCT
cana-356	49	24	of	of	ADP
cana-356	49	25	path	path	NOUN
cana-356	49	26	and	and	CCONJ
cana-356	49	27	star	star	NOUN
cana-356	49	28	,	,	PUNCT
cana-356	49	29	mfuzzy	mfuzzy	ADJ
cana-356	49	30	bimagic	bimagic	ADJ
cana-356	49	31	labeling	labeling	NOUN
cana-356	49	32	(	(	PUNCT
cana-356	49	33	m	m	NOUN
cana-356	49	34	-	-	NOUN
cana-356	49	35	fbml	fbml	ADJ
cana-356	49	36	)	)	PUNCT
cana-356	49	37	of	of	ADP
cana-356	49	38	star	star	NOUN
cana-356	49	39	and	and	CCONJ
cana-356	49	40	bistar	bistar	NOUN
cana-356	49	41	.	.	PUNCT
cana-356	50	1	the	the	DET
cana-356	50	2	end	end	NOUN
cana-356	50	3	of	of	ADP
cana-356	50	4	the	the	DET
cana-356	50	5	article	article	NOUN
cana-356	50	6	will	will	AUX
cana-356	50	7	present	present	VERB
cana-356	50	8	the	the	DET
cana-356	50	9	conclusion	conclusion	NOUN
cana-356	50	10	.	.	PUNCT
cana-356	51	1	all	all	DET
cana-356	51	2	the	the	DET
cana-356	51	3	basic	basic	ADJ
cana-356	51	4	definitions	definition	NOUN
cana-356	51	5	are	be	AUX
cana-356	51	6	followed	follow	VERB
cana-356	51	7	,	,	PUNCT
cana-356	51	8	as	as	ADP
cana-356	51	9	in	in	ADP
cana-356	51	10	[	[	X
cana-356	51	11	3	3	NUM
cana-356	51	12	]	]	PUNCT
cana-356	51	13	,	,	PUNCT
cana-356	51	14	[	[	X
cana-356	51	15	4	4	NUM
cana-356	51	16	]	]	PUNCT
cana-356	51	17	,	,	PUNCT
cana-356	51	18	[	[	X
cana-356	51	19	5	5	NUM
cana-356	51	20	]	]	PUNCT
cana-356	51	21	,	,	PUNCT
cana-356	51	22	[	[	X
cana-356	51	23	7	7	NUM
cana-356	51	24	]	]	PUNCT
cana-356	51	25	,	,	PUNCT
cana-356	51	26	[	[	X
cana-356	51	27	8	8	NUM
cana-356	51	28	]	]	PUNCT
cana-356	51	29	,	,	PUNCT
cana-356	52	1	[	[	X
cana-356	52	2	9	9	NUM
cana-356	52	3	]	]	PUNCT
cana-356	52	4	,	,	PUNCT
cana-356	52	5	[	[	X
cana-356	52	6	10	10	NUM
cana-356	52	7	]	]	PUNCT
cana-356	52	8	,	,	PUNCT
cana-356	52	9	and	and	CCONJ
cana-356	52	10	[	[	X
cana-356	52	11	12	12	NUM
cana-356	52	12	]	]	PUNCT
cana-356	52	13	.	.	PUNCT
cana-356	53	1	2	2	X
cana-356	53	2	.	.	X
cana-356	53	3	preliminaries	preliminary	NOUN
cana-356	53	4	definition	definition	NOUN
cana-356	53	5	2.1	2.1	NUM
cana-356	53	6	.	.	PUNCT
cana-356	54	1	[	[	X
cana-356	54	2	5	5	NUM
cana-356	54	3	]	]	PUNCT
cana-356	54	4	a	a	DET
cana-356	54	5	flg	flg	PROPN
cana-356	54	6	is	be	AUX
cana-356	54	7	called	call	VERB
cana-356	54	8	as	as	ADP
cana-356	54	9	feam	feam	NOUN
cana-356	54	10	graph	graph	NOUN
cana-356	54	11	if	if	SCONJ
cana-356	54	12	1	1	NUM
cana-356	54	13	1	1	NUM
cana-356	54	14	1	1	NUM
cana-356	54	15	(	(	PUNCT
cana-356	54	16	)	)	PUNCT
cana-356	54	17	(	(	PUNCT
cana-356	54	18	,	,	PUNCT
cana-356	54	19	)	)	PUNCT
cana-356	54	20	(	(	PUNCT
cana-356	54	21	)	)	PUNCT
cana-356	54	22	u	u	NOUN
cana-356	54	23	u	u	NOUN
cana-356	54	24	v	v	X
cana-356	54	25	v	v	NUM
cana-356	54	26			ADP
cana-356	54	27	+	+	NUM
cana-356	54	28	+	+	CCONJ
cana-356	54	29	has	have	VERB
cana-356	54	30	different	different	ADJ
cana-356	54	31	value	value	NOUN
cana-356	54	32	for	for	ADP
cana-356	54	33	all	all	PRON
cana-356	54	34	,	,	PUNCT
cana-356	54	35	u	u	NOUN
cana-356	54	36	v	v	ADP
cana-356	54	37	v	v	NOUN
cana-356	54	38	.	.	PUNCT
cana-356	55	1	definition	definition	NOUN
cana-356	55	2	2.2	2.2	NUM
cana-356	55	3	:	:	PUNCT
cana-356	56	1	[	[	X
cana-356	56	2	9	9	NUM
cana-356	56	3	]	]	PUNCT
cana-356	56	4	“	"	PUNCT
cana-356	56	5	a	a	DET
cana-356	56	6	flg	flg	PROPN
cana-356	56	7	is	be	AUX
cana-356	56	8	called	call	VERB
cana-356	56	9	an	an	DET
cana-356	56	10	fvam	fvam	NOUN
cana-356	56	11	graph	graph	NOUN
cana-356	56	12	if	if	SCONJ
cana-356	56	13	”	"	PUNCT
cana-356	56	14	’	'	PUNCT
cana-356	56	15	g	g	PROPN
cana-356	56	16	is	be	AUX
cana-356	56	17	a	a	DET
cana-356	56	18	1	1	NUM
cana-356	56	19	-	-	SYM
cana-356	56	20	1	1	NUM
cana-356	56	21	correspondence	correspondence	NOUN
cana-356	56	22			PUNCT
cana-356	56	23			PROPN
cana-356	56	24	:	:	PUNCT
cana-356	56	25	(	(	PUNCT
cana-356	56	26	)	)	PUNCT
cana-356	56	27	1	1	NUM
cana-356	56	28	,	,	PUNCT
cana-356	56	29	2,3	2,3	NUM
cana-356	56	30	,	,	PUNCT
cana-356	56	31	,	,	PUNCT
cana-356	56	32	|	|	CCONJ
cana-356	56	33	(	(	PUNCT
cana-356	56	34	)	)	PUNCT
cana-356	56	35	|f	|f	PROPN
cana-356	57	1	e	e	X
cana-356	57	2	g	g	PROPN
cana-356	57	3	e	e	X
cana-356	57	4	g→	g→	PROPN
cana-356	57	5	in	in	ADP
cana-356	57	6	which	which	PRON
cana-356	57	7	for	for	ADP
cana-356	57	8	any	any	DET
cana-356	57	9	two	two	NUM
cana-356	57	10	different	different	ADJ
cana-356	57	11	vertices	vertex	NOUN
cana-356	57	12	v	v	NOUN
cana-356	57	13	and	and	CCONJ
cana-356	57	14	w	w	NOUN
cana-356	57	15	,	,	PUNCT
cana-356	57	16	the	the	DET
cana-356	57	17	total	total	NOUN
cana-356	57	18	of	of	ADP
cana-356	57	19	the	the	DET
cana-356	57	20	labels	label	NOUN
cana-356	57	21	on	on	ADP
cana-356	57	22	“	"	PUNCT
cana-356	57	23	edges	edge	NOUN
cana-356	57	24	incident	incident	NOUN
cana-356	57	25	to	to	ADP
cana-356	57	26	v	v	VERB
cana-356	57	27	distinct	distinct	ADJ
cana-356	57	28	from	from	ADP
cana-356	57	29	the	the	DET
cana-356	57	30	total	total	NOUN
cana-356	57	31	of	of	ADP
cana-356	57	32	labels	label	NOUN
cana-356	57	33	on	on	ADP
cana-356	57	34	edges	edge	NOUN
cana-356	57	35	incident	incident	NOUN
cana-356	57	36	to	to	ADP
cana-356	57	37	w	w	PROPN
cana-356	57	38	.	.	PUNCT
cana-356	57	39	”	"	PUNCT
cana-356	58	1	definition	definition	NOUN
cana-356	58	2	2.3	2.3	NUM
cana-356	58	3	.	.	PUNCT
cana-356	59	1	[	[	X
cana-356	59	2	10	10	NUM
cana-356	59	3	]	]	PUNCT
cana-356	59	4	“	"	PUNCT
cana-356	59	5	an	an	DET
cana-356	59	6	fg	fg	NOUN
cana-356	59	7	is	be	AUX
cana-356	59	8	said	say	VERB
cana-356	59	9	to	to	PART
cana-356	59	10	admit	admit	VERB
cana-356	59	11	edge	edge	NOUN
cana-356	59	12	bi	bi	ADJ
cana-356	59	13	-	-	ADJ
cana-356	59	14	magic	magic	ADJ
cana-356	59	15	labeling	labeling	NOUN
cana-356	59	16	if	if	SCONJ
cana-356	59	17	the	the	DET
cana-356	59	18	total	total	NOUN
cana-356	59	19	of	of	ADP
cana-356	59	20	membership	membership	NOUN
cana-356	59	21	values	value	NOUN
cana-356	59	22	of	of	ADP
cana-356	59	23	edges	edge	NOUN
cana-356	59	24	and	and	CCONJ
cana-356	59	25	vertices	vertice	VERB
cana-356	59	26	incident	incident	NOUN
cana-356	59	27	at	at	ADP
cana-356	59	28	the	the	DET
cana-356	59	29	vertices	vertex	NOUN
cana-356	59	30	are	be	AUX
cana-356	59	31	either	either	CCONJ
cana-356	59	32	1k	1k	NUM
cana-356	59	33	or	or	CCONJ
cana-356	59	34	2k	2k	NUM
cana-356	59	35	where	where	SCONJ
cana-356	59	36	1k	1k	NUM
cana-356	59	37	and	and	CCONJ
cana-356	59	38	2k	2k	NOUN
cana-356	59	39	are	be	AUX
cana-356	59	40	constants	constant	NOUN
cana-356	59	41	and	and	CCONJ
cana-356	59	42	denoted	denote	VERB
cana-356	59	43	by	by	ADP
cana-356	59	44	0	0	NUM
cana-356	59	45	(	(	PUNCT
cana-356	59	46	)	)	PUNCT
cana-356	59	47	bm	bm	PROPN
cana-356	59	48	g	g	PROPN
cana-356	59	49	.	.	PUNCT
cana-356	60	1	a	a	DET
cana-356	60	2	flg	flg	NOUN
cana-356	60	3	which	which	PRON
cana-356	60	4	admits	admit	VERB
cana-356	60	5	an	an	DET
cana-356	60	6	edge	edge	NOUN
cana-356	60	7	bimagic	bimagic	ADJ
cana-356	60	8	labeling	labeling	NOUN
cana-356	60	9	is	be	AUX
cana-356	60	10	called	call	VERB
cana-356	60	11	a	a	DET
cana-356	60	12	febm	febm	NOUN
cana-356	60	13	labeling	labeling	NOUN
cana-356	60	14	graph	graph	NOUN
cana-356	60	15	.	.	PUNCT
cana-356	60	16	”	"	PUNCT
cana-356	61	1	definition	definition	NOUN
cana-356	61	2	2.4	2.4	NUM
cana-356	61	3	.	.	PUNCT
cana-356	62	1	[	[	X
cana-356	62	2	12	12	NUM
cana-356	62	3	]	]	PUNCT
cana-356	62	4	“	"	PUNCT
cana-356	62	5	a	a	DET
cana-356	62	6	graph	graph	NOUN
cana-356	62	7	1	1	NUM
cana-356	62	8	1	1	NUM
cana-356	62	9	(	(	PUNCT
cana-356	62	10	,	,	PUNCT
cana-356	62	11	)	)	PUNCT
cana-356	62	12	g	g	NOUN
cana-356	62	13			NOUN
cana-356	62	14			NOUN
cana-356	62	15	is	be	AUX
cana-356	62	16	said	say	VERB
cana-356	62	17	to	to	PART
cana-356	62	18	be	be	AUX
cana-356	62	19	a	a	DET
cana-356	62	20	m	m	ADJ
cana-356	62	21	-	-	ADJ
cana-356	62	22	fuzzy	fuzzy	ADJ
cana-356	62	23	labeling	labeling	NOUN
cana-356	62	24	graph	graph	NOUN
cana-356	62	25	if	if	SCONJ
cana-356	62	26	1	1	NUM
cana-356	62	27	:	:	PUNCT
cana-356	62	28	[	[	X
cana-356	62	29	0,1]v	0,1]v	X
cana-356	62	30	→	→	PUNCT
cana-356	62	31	and	and	CCONJ
cana-356	62	32	1	1	NUM
cana-356	62	33	:	:	PUNCT
cana-356	62	34	[	[	X
cana-356	62	35	0,1]v	0,1]v	X
cana-356	62	36	v	v	PROPN
cana-356	62	37			PROPN
cana-356	62	38	→	→	PUNCT
cana-356	62	39	is	be	AUX
cana-356	62	40	bijective	bijective	ADJ
cana-356	62	41	such	such	ADJ
cana-356	62	42	that	that	SCONJ
cana-356	62	43	the	the	DET
cana-356	62	44	membership	membership	NOUN
cana-356	62	45	value	value	NOUN
cana-356	62	46	of	of	ADP
cana-356	62	47	edges	edge	NOUN
cana-356	62	48	and	and	CCONJ
cana-356	62	49	vertices	vertex	NOUN
cana-356	62	50	are	be	AUX
cana-356	62	51	distinct	distinct	ADJ
cana-356	62	52	and	and	CCONJ
cana-356	62	53	satisfied	satisfy	VERB
cana-356	62	54	the	the	DET
cana-356	62	55	following	follow	VERB
cana-356	62	56	conditions	condition	NOUN
cana-356	62	57	1	1	NUM
cana-356	62	58	1	1	NUM
cana-356	62	59	(	(	PUNCT
cana-356	62	60	,	,	PUNCT
cana-356	62	61	)	)	PUNCT
cana-356	62	62	(	(	PUNCT
cana-356	62	63	)	)	PUNCT
cana-356	62	64	u	u	NOUN
cana-356	62	65	v	v	ADJ
cana-356	62	66	u	u	NOUN
cana-356	62	67			NOUN
cana-356	62	68	or	or	CCONJ
cana-356	62	69	1	1	NUM
cana-356	62	70	1	1	NUM
cana-356	62	71	1	1	NUM
cana-356	62	72	(	(	PUNCT
cana-356	62	73	)	)	PUNCT
cana-356	62	74	(	(	PUNCT
cana-356	62	75	,	,	PUNCT
cana-356	62	76	)	)	PUNCT
cana-356	62	77	(	(	PUNCT
cana-356	62	78	)	)	PUNCT
cana-356	62	79	u	u	NOUN
cana-356	62	80	u	u	NOUN
cana-356	62	81	v	v	X
cana-356	62	82	v	v	NUM
cana-356	62	83			ADP
cana-356	62	84			X
cana-356	62	85			NOUN
cana-356	62	86	,	,	PUNCT
cana-356	62	87	then	then	ADV
cana-356	62	88	1	1	NUM
cana-356	62	89	1	1	NUM
cana-356	62	90	1	1	NUM
cana-356	62	91	(	(	PUNCT
cana-356	62	92	,	,	PUNCT
cana-356	62	93	)	)	PUNCT
cana-356	62	94	(	(	PUNCT
cana-356	62	95	)	)	PUNCT
cana-356	62	96	(	(	PUNCT
cana-356	62	97	)	)	PUNCT
cana-356	62	98	,	,	PUNCT
cana-356	62	99	u	u	NOUN
cana-356	62	100	v	v	ADP
cana-356	62	101	u	u	NOUN
cana-356	62	102	v	v	ADP
cana-356	62	103	u	u	PRON
cana-356	62	104	v	v	ADP
cana-356	62	105	v	v	NOUN
cana-356	62	106			NOUN
cana-356	62	107			NOUN
cana-356	62	108			PROPN
cana-356	62	109			VERB
cana-356	62	110			PROPN
cana-356	62	111	”	"	PUNCT
cana-356	62	112	.	.	PUNCT
cana-356	63	1	3	3	X
cana-356	63	2	.	.	X
cana-356	63	3	m	m	NOUN
cana-356	63	4	-	-	ADJ
cana-356	63	5	fuzzy	fuzzy	ADJ
cana-356	63	6	anti	anti	ADJ
cana-356	63	7	-	-	ADJ
cana-356	63	8	magic	magic	ADJ
cana-356	63	9	graphs	graph	NOUN
cana-356	63	10	definition	definition	NOUN
cana-356	63	11	3.1	3.1	NUM
cana-356	63	12	:	:	PUNCT
cana-356	64	1	a	a	DET
cana-356	64	2	mflg	mflg	ADJ
cana-356	64	3	is	be	AUX
cana-356	64	4	said	say	VERB
cana-356	64	5	to	to	PART
cana-356	64	6	be	be	AUX
cana-356	64	7	a	a	DET
cana-356	64	8	m	m	ADJ
cana-356	64	9	-	-	ADJ
cana-356	64	10	feam	feam	NOUN
cana-356	64	11	graph	graph	NOUN
cana-356	64	12	if	if	SCONJ
cana-356	64	13	1	1	NUM
cana-356	64	14	1	1	NUM
cana-356	64	15	1	1	NUM
cana-356	64	16	(	(	PUNCT
cana-356	64	17	)	)	PUNCT
cana-356	64	18	(	(	PUNCT
cana-356	64	19	,	,	PUNCT
cana-356	64	20	)	)	PUNCT
cana-356	64	21	(	(	PUNCT
cana-356	64	22	)	)	PUNCT
cana-356	64	23	u	u	NOUN
cana-356	64	24	u	u	NOUN
cana-356	64	25	v	v	X
cana-356	64	26	v	v	NUM
cana-356	64	27			ADP
cana-356	64	28	+	+	NUM
cana-356	64	29	+	+	CCONJ
cana-356	64	30	has	have	VERB
cana-356	64	31	different	different	ADJ
cana-356	64	32	value	value	NOUN
cana-356	64	33	for	for	ADP
cana-356	64	34	all	all	PRON
cana-356	64	35	,	,	PUNCT
cana-356	64	36	u	u	NOUN
cana-356	64	37	v	v	ADP
cana-356	64	38	v	v	NOUN
cana-356	64	39	,	,	PUNCT
cana-356	64	40	which	which	PRON
cana-356	64	41	is	be	AUX
cana-356	64	42	denoted	denote	VERB
cana-356	64	43	by	by	ADP
cana-356	64	44	0	0	NUM
cana-356	64	45	(	(	PUNCT
cana-356	64	46	)	)	PUNCT
cana-356	64	47	am	be	AUX
cana-356	64	48	g	g	NOUN
cana-356	64	49	.	.	PUNCT
cana-356	65	1	definition	definition	NOUN
cana-356	65	2	3.2	3.2	NUM
cana-356	65	3	:	:	PUNCT
cana-356	65	4	a	a	DET
cana-356	65	5	mflg	mflg	ADJ
cana-356	65	6	is	be	AUX
cana-356	65	7	said	say	VERB
cana-356	65	8	to	to	PART
cana-356	65	9	be	be	AUX
cana-356	65	10	a	a	DET
cana-356	65	11	m	m	NOUN
cana-356	65	12	-	-	ADJ
cana-356	65	13	fvam	fvam	NOUN
cana-356	65	14	graph	graph	NOUN
cana-356	65	15	if	if	SCONJ
cana-356	65	16	𝐺	𝐺	PROPN
cana-356	65	17	is	be	AUX
cana-356	65	18	1	1	NUM
cana-356	65	19	-	-	SYM
cana-356	65	20	1	1	NUM
cana-356	65	21	correspondence	correspondence	NOUN
cana-356	65	22			PUNCT
cana-356	66	1			PROPN
cana-356	66	2	:	:	PUNCT
cana-356	66	3	(	(	PUNCT
cana-356	66	4	)	)	PUNCT
cana-356	66	5	1	1	NUM
cana-356	66	6	,	,	PUNCT
cana-356	66	7	2,3	2,3	NUM
cana-356	66	8	,	,	PUNCT
cana-356	66	9	,	,	PUNCT
cana-356	66	10	|	|	CCONJ
cana-356	66	11	(	(	PUNCT
cana-356	66	12	)	)	PUNCT
cana-356	66	13	|f	|f	PROPN
cana-356	67	1	e	e	X
cana-356	67	2	g	g	PROPN
cana-356	67	3	e	e	X
cana-356	67	4	g→	g→	PROPN
cana-356	67	5	in	in	ADP
cana-356	67	6	which	which	PRON
cana-356	67	7	for	for	ADP
cana-356	67	8	any	any	DET
cana-356	67	9	two	two	NUM
cana-356	67	10	different	different	ADJ
cana-356	67	11	vertices	vertex	NOUN
cana-356	67	12	v	v	NOUN
cana-356	67	13	and	and	CCONJ
cana-356	67	14	w	w	NOUN
cana-356	67	15	,	,	PUNCT
cana-356	67	16	the	the	DET
cana-356	67	17	total	total	NOUN
cana-356	67	18	of	of	ADP
cana-356	67	19	labels	label	NOUN
cana-356	67	20	on	on	ADP
cana-356	67	21	edges	edge	NOUN
cana-356	67	22	incident	incident	NOUN
cana-356	67	23	to	to	ADP
cana-356	67	24	v	v	VERB
cana-356	67	25	distinct	distinct	ADJ
cana-356	67	26	from	from	ADP
cana-356	67	27	the	the	DET
cana-356	67	28	total	total	NOUN
cana-356	67	29	of	of	ADP
cana-356	67	30	labels	label	NOUN
cana-356	67	31	on	on	ADP
cana-356	67	32	edges	edge	NOUN
cana-356	67	33	incident	incident	NOUN
cana-356	67	34	to	to	ADP
cana-356	67	35	w	w	PROPN
cana-356	67	36	.	.	PUNCT
cana-356	68	1	communications	communication	NOUN
cana-356	68	2	on	on	ADP
cana-356	68	3	applied	apply	VERB
cana-356	68	4	nonlinear	nonlinear	ADJ
cana-356	68	5	analysis	analysis	NOUN
cana-356	68	6	issn	issn	NOUN
cana-356	68	7	:	:	PUNCT
cana-356	68	8	1074	1074	NUM
cana-356	68	9	-	-	PUNCT
cana-356	68	10	133x	133x	NUM
cana-356	68	11	vol	vol	NOUN
cana-356	68	12	31	31	NUM
cana-356	68	13	no	no	NOUN
cana-356	68	14	.	.	NOUN
cana-356	68	15	1	1	NUM
cana-356	68	16	(	(	PUNCT
cana-356	68	17	2024	2024	NUM
cana-356	68	18	)	)	PUNCT
cana-356	68	19	124	124	NUM
cana-356	68	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	68	21	m	m	NOUN
cana-356	68	22	-	-	ADJ
cana-356	68	23	fuzzy	fuzzy	ADJ
cana-356	68	24	labeled	label	VERB
cana-356	68	25	path	path	NOUN
cana-356	68	26	graph	graph	NOUN
cana-356	68	27	np	np	INTJ
cana-356	68	28	:	:	PUNCT
cana-356	69	1	_	_	PUNCT
cana-356	70	1	_	_	PUNCT
cana-356	71	1	_	_	PUNCT
cana-356	72	1	_	_	PUNCT
cana-356	73	1	_	_	PUNCT
cana-356	74	1	_	_	PUNCT
cana-356	75	1	_	_	PUNCT
cana-356	76	1	_	_	PUNCT
cana-356	77	1	_	_	PUNCT
cana-356	78	1	_	_	PUNCT
cana-356	79	1	_	_	PUNCT
cana-356	80	1	_	_	PUNCT
cana-356	81	1	_	_	PUNCT
cana-356	82	1	_	_	PUNCT
cana-356	83	1	_	_	PUNCT
cana-356	84	1	_	_	PUNCT
cana-356	85	1	_	_	PUNCT
cana-356	86	1	_	_	PUNCT
cana-356	87	1	_	_	PUNCT
cana-356	88	1	_	_	PUNCT
cana-356	89	1	_	_	PUNCT
cana-356	90	1	_	_	PUNCT
cana-356	91	1	_	_	PUNCT
cana-356	92	1	_	_	PUNCT
cana-356	93	1	_	_	PUNCT
cana-356	94	1	_	_	PUNCT
cana-356	95	1	_	_	PUNCT
cana-356	96	1	_	_	PUNCT
cana-356	97	1	_	_	PUNCT
cana-356	98	1	_	_	PUNCT
cana-356	99	1	_	_	PUNCT
cana-356	100	1	_	_	PUNCT
cana-356	101	1	_	_	PUNCT
cana-356	102	1	_	_	PUNCT
cana-356	103	1	_	_	PUNCT
cana-356	104	1	_	_	PUNCT
cana-356	105	1	_	_	PUNCT
cana-356	106	1	_	_	PUNCT
cana-356	107	1	_	_	PUNCT
cana-356	108	1	_	_	PUNCT
cana-356	109	1	_	_	PUNCT
cana-356	110	1	_	_	PUNCT
cana-356	111	1	_	_	PUNCT
cana-356	112	1	_	_	PUNCT
cana-356	113	1	_	_	PUNCT
cana-356	114	1	_	_	PUNCT
cana-356	115	1	_	_	PUNCT
cana-356	116	1	_	_	PUNCT
cana-356	117	1	_	_	PUNCT
cana-356	118	1	_	_	PUNCT
cana-356	119	1	_	_	PUNCT
cana-356	120	1	_	_	PUNCT
cana-356	121	1	_	_	PUNCT
cana-356	122	1	_	_	PUNCT
cana-356	123	1	_	_	PUNCT
cana-356	124	1	_	_	PUNCT
cana-356	125	1	_	_	PUNCT
cana-356	126	1	_	_	PUNCT
cana-356	127	1	_	_	PUNCT
cana-356	128	1	_	_	PUNCT
cana-356	129	1	_	_	PUNCT
cana-356	130	1	_	_	PUNCT
cana-356	131	1	_	_	PUNCT
cana-356	132	1	_	_	PUNCT
cana-356	133	1	_	_	PUNCT
cana-356	134	1	_	_	PUNCT
cana-356	135	1	_	_	PUNCT
cana-356	136	1	_	_	PUNCT
cana-356	137	1	_	_	PUNCT
cana-356	138	1	_	_	PUNCT
cana-356	139	1	_	_	PUNCT
cana-356	140	1	_	_	PUNCT
cana-356	141	1	_	_	PUNCT
cana-356	142	1	_	_	PUNCT
cana-356	143	1	_	_	PUNCT
cana-356	144	1	_	_	PUNCT
cana-356	145	1	_	_	PUNCT
cana-356	146	1	_	_	PUNCT
cana-356	147	1	_	_	PUNCT
cana-356	148	1	_	_	PUNCT
cana-356	149	1	_	_	PUNCT
cana-356	149	2	algorithm	algorithm	NOUN
cana-356	149	3	1	1	NUM
cana-356	150	1	_	_	PUNCT
cana-356	151	1	_	_	PUNCT
cana-356	152	1	_	_	PUNCT
cana-356	153	1	_	_	PUNCT
cana-356	154	1	_	_	PUNCT
cana-356	155	1	_	_	PUNCT
cana-356	156	1	_	_	PUNCT
cana-356	157	1	_	_	PUNCT
cana-356	158	1	_	_	PUNCT
cana-356	159	1	_	_	PUNCT
cana-356	160	1	_	_	PUNCT
cana-356	161	1	_	_	PUNCT
cana-356	162	1	_	_	PUNCT
cana-356	163	1	_	_	PUNCT
cana-356	164	1	_	_	PUNCT
cana-356	165	1	_	_	PUNCT
cana-356	166	1	_	_	PUNCT
cana-356	167	1	_	_	PUNCT
cana-356	168	1	_	_	PUNCT
cana-356	169	1	_	_	PUNCT
cana-356	170	1	_	_	PUNCT
cana-356	171	1	_	_	PUNCT
cana-356	172	1	_	_	PUNCT
cana-356	173	1	_	_	PUNCT
cana-356	174	1	_	_	PUNCT
cana-356	175	1	_	_	PUNCT
cana-356	176	1	_	_	PUNCT
cana-356	177	1	_	_	PUNCT
cana-356	178	1	_	_	PUNCT
cana-356	179	1	_	_	PUNCT
cana-356	180	1	_	_	PUNCT
cana-356	181	1	_	_	PUNCT
cana-356	182	1	_	_	PUNCT
cana-356	183	1	_	_	PUNCT
cana-356	184	1	_	_	PUNCT
cana-356	185	1	_	_	PUNCT
cana-356	186	1	_	_	PUNCT
cana-356	187	1	_	_	PUNCT
cana-356	188	1	_	_	PUNCT
cana-356	189	1	_	_	PUNCT
cana-356	190	1	_	_	PUNCT
cana-356	191	1	_	_	PUNCT
cana-356	192	1	_	_	PUNCT
cana-356	193	1	_	_	PUNCT
cana-356	194	1	_	_	PUNCT
cana-356	195	1	_	_	PUNCT
cana-356	196	1	_	_	PUNCT
cana-356	197	1	_	_	PUNCT
cana-356	198	1	_	_	PUNCT
cana-356	199	1	_	_	PUNCT
cana-356	200	1	_	_	PUNCT
cana-356	201	1	_	_	PUNCT
cana-356	202	1	_	_	PUNCT
cana-356	203	1	_	_	PUNCT
cana-356	204	1	_	_	PUNCT
cana-356	205	1	_	_	PUNCT
cana-356	206	1	_	_	PUNCT
cana-356	207	1	_	_	PUNCT
cana-356	208	1	_	_	PUNCT
cana-356	209	1	_	_	PUNCT
cana-356	210	1	_	_	PUNCT
cana-356	211	1	_	_	PUNCT
cana-356	212	1	_	_	PUNCT
cana-356	213	1	_	_	PUNCT
cana-356	214	1	_	_	PUNCT
cana-356	215	1	_	_	PUNCT
cana-356	216	1	_	_	PUNCT
cana-356	217	1	_	_	PUNCT
cana-356	218	1	_	_	PUNCT
cana-356	219	1	_	_	PUNCT
cana-356	220	1	_	_	PUNCT
cana-356	221	1	_	_	PUNCT
cana-356	222	1	_	_	PUNCT
cana-356	223	1	_	_	PUNCT
cana-356	224	1	_	_	PUNCT
cana-356	225	1	_	_	PUNCT
cana-356	226	1	_	_	PUNCT
cana-356	227	1	_	_	PUNCT
cana-356	228	1	_	_	PUNCT
cana-356	229	1	_	_	PUNCT
cana-356	230	1	_	_	PUNCT
cana-356	231	1	m	m	PROPN
cana-356	231	2	-	-	VERB
cana-356	231	3	fl	fl	PROPN
cana-356	231	4	of	of	ADP
cana-356	231	5	edges	edge	NOUN
cana-356	231	6	and	and	CCONJ
cana-356	231	7	vertices	vertex	NOUN
cana-356	231	8	of	of	ADP
cana-356	231	9	np	np	INTJ
cana-356	231	10	with	with	ADP
cana-356	231	11	,	,	PUNCT
cana-356	231	12	where	where	SCONJ
cana-356	231	13	n	n	PRON
cana-356	231	14	is	be	AUX
cana-356	231	15	the	the	DET
cana-356	231	16	path	path	NOUN
cana-356	231	17	length	length	NOUN
cana-356	231	18	and	and	CCONJ
cana-356	231	19	(	(	PUNCT
cana-356	231	20	0,1]z	0,1]z	NOUN
cana-356	231	21	1	1	X
cana-356	231	22	.	.	PUNCT
cana-356	231	23	input	input	NOUN
cana-356	231	24	:	:	PUNCT
cana-356	231	25	enter	enter	VERB
cana-356	231	26	values	value	NOUN
cana-356	231	27	for	for	ADP
cana-356	231	28	n	n	NOUN
cana-356	231	29	and	and	CCONJ
cana-356	231	30	z	z	NOUN
cana-356	231	31	.	.	PUNCT
cana-356	232	1	2	2	X
cana-356	232	2	.	.	X
cana-356	232	3	maximum	maximum	ADJ
cana-356	232	4	number	number	NOUN
cana-356	232	5	of	of	ADP
cana-356	232	6	vertices	vertex	NOUN
cana-356	232	7	are	be	AUX
cana-356	232	8	1n+	1n+	NUM
cana-356	232	9	.	.	PUNCT
cana-356	233	1	3	3	X
cana-356	233	2	.	.	X
cana-356	233	3	vertex	vertex	NOUN
cana-356	233	4	labeling	labeling	NOUN
cana-356	233	5	be	be	VERB
cana-356	233	6	,	,	PUNCT
cana-356	233	7	for	for	ADP
cana-356	233	8	1i	1i	NOUN
cana-356	233	9	=	=	SYM
cana-356	233	10	to	to	ADP
cana-356	233	11	1n+	1n+	NUM
cana-356	233	12	{	{	PUNCT
cana-356	233	13	1	1	NUM
cana-356	233	14	(	(	PUNCT
cana-356	233	15	)	)	PUNCT
cana-356	233	16	(	(	PUNCT
cana-356	233	17	)	)	PUNCT
cana-356	233	18	iv	iv	X
cana-356	233	19	n	n	NUM
cana-356	233	20	i	i	PRON
cana-356	233	21	z	z	NUM
cana-356	233	22	=	=	PUNCT
cana-356	234	1	+	+	CCONJ
cana-356	234	2	where	where	SCONJ
cana-356	234	3	1	1	NUM
cana-356	234	4	1i	1i	NOUN
cana-356	234	5	n	n	X
cana-356	234	6			NOUN
cana-356	234	7	+	+	CCONJ
cana-356	234	8	}	}	PUNCT
cana-356	234	9	4	4	NUM
cana-356	234	10	.	.	X
cana-356	234	11	edge	edge	NOUN
cana-356	234	12	labeling	labeling	NOUN
cana-356	234	13	be	be	AUX
cana-356	234	14	,	,	PUNCT
cana-356	234	15	for	for	ADP
cana-356	234	16	1i	1i	NOUN
cana-356	234	17	=	=	SYM
cana-356	234	18	to	to	ADP
cana-356	234	19	1n+	1n+	NUM
cana-356	234	20	if	if	SCONJ
cana-356	234	21	1	1	NUM
cana-356	234	22	≤	≤	NUM
cana-356	234	23	𝑖	𝑖	SYM
cana-356	234	24	≤	≤	NUM
cana-356	234	25	𝑛	𝑛	ADP
cana-356	234	26	{	{	PUNCT
cana-356	234	27			NOUN
cana-356	234	28			PROPN
cana-356	234	29			NOUN
cana-356	234	30	1	1	NOUN
cana-356	234	31	1	1	NUM
cana-356	234	32	1	1	NUM
cana-356	234	33	1	1	NUM
cana-356	234	34	1	1	NUM
cana-356	234	35	1	1	NUM
cana-356	234	36	1	1	NUM
cana-356	234	37	1	1	NUM
cana-356	234	38	(	(	PUNCT
cana-356	234	39	,	,	PUNCT
cana-356	234	40	)	)	PUNCT
cana-356	234	41	max	max	PROPN
cana-356	234	42	(	(	PUNCT
cana-356	234	43	)	)	PUNCT
cana-356	234	44	,	,	PUNCT
cana-356	234	45	(	(	PUNCT
cana-356	234	46	)	)	PUNCT
cana-356	234	47	min	min	NOUN
cana-356	234	48	(	(	PUNCT
cana-356	234	49	)	)	PUNCT
cana-356	234	50	,	,	PUNCT
cana-356	234	51	(	(	PUNCT
cana-356	234	52	)	)	PUNCT
cana-356	234	53	(	(	PUNCT
cana-356	234	54	1)i	1)i	NUM
cana-356	235	1	i	i	PRON
cana-356	235	2	i	i	PRON
cana-356	236	1	i	i	PRON
cana-356	236	2	i	i	PRON
cana-356	236	3	iv	iv	VERB
cana-356	236	4	v	v	ADP
cana-356	236	5	v	v	NUM
cana-356	236	6	v	v	NUM
cana-356	236	7	v	v	NOUN
cana-356	236	8	v	v	NOUN
cana-356	236	9	i	i	PRON
cana-356	236	10	z	z	NUM
cana-356	236	11			NOUN
cana-356	236	12			NOUN
cana-356	236	13			NOUN
cana-356	236	14	+	+	NOUN
cana-356	236	15	+	+	CCONJ
cana-356	237	1	+	+	NOUN
cana-356	237	2	=	=	SYM
cana-356	237	3	−	−	PROPN
cana-356	238	1	+	+	CCONJ
cana-356	238	2	−	−	NOUN
cana-356	238	3	}	}	SYM
cana-356	238	4	5	5	NUM
cana-356	238	5	.	.	X
cana-356	238	6	output	output	NOUN
cana-356	238	7	:	:	PUNCT
cana-356	238	8	print	print	VERB
cana-356	238	9	the	the	DET
cana-356	238	10	values	value	NOUN
cana-356	238	11	of	of	ADP
cana-356	238	12	vertices	vertex	NOUN
cana-356	238	13	and	and	CCONJ
cana-356	238	14	edges	edge	NOUN
cana-356	238	15	.	.	PUNCT
cana-356	239	1	_	_	PUNCT
cana-356	240	1	_	_	PUNCT
cana-356	241	1	_	_	PUNCT
cana-356	242	1	_	_	PUNCT
cana-356	243	1	_	_	PUNCT
cana-356	244	1	_	_	PUNCT
cana-356	245	1	_	_	PUNCT
cana-356	246	1	_	_	PUNCT
cana-356	247	1	_	_	PUNCT
cana-356	248	1	_	_	PUNCT
cana-356	249	1	_	_	PUNCT
cana-356	250	1	_	_	PUNCT
cana-356	251	1	_	_	PUNCT
cana-356	252	1	_	_	PUNCT
cana-356	253	1	_	_	PUNCT
cana-356	254	1	_	_	PUNCT
cana-356	255	1	_	_	PUNCT
cana-356	256	1	_	_	PUNCT
cana-356	257	1	_	_	PUNCT
cana-356	258	1	_	_	PUNCT
cana-356	259	1	_	_	PUNCT
cana-356	260	1	_	_	PUNCT
cana-356	261	1	_	_	PUNCT
cana-356	262	1	_	_	PUNCT
cana-356	263	1	_	_	PUNCT
cana-356	264	1	_	_	PUNCT
cana-356	265	1	_	_	PUNCT
cana-356	266	1	_	_	PUNCT
cana-356	267	1	_	_	PUNCT
cana-356	268	1	_	_	PUNCT
cana-356	269	1	_	_	PUNCT
cana-356	270	1	_	_	PUNCT
cana-356	271	1	_	_	PUNCT
cana-356	272	1	_	_	PUNCT
cana-356	273	1	_	_	PUNCT
cana-356	274	1	_	_	PUNCT
cana-356	275	1	_	_	PUNCT
cana-356	276	1	_	_	PUNCT
cana-356	277	1	_	_	PUNCT
cana-356	278	1	_	_	PUNCT
cana-356	279	1	_	_	PUNCT
cana-356	280	1	_	_	PUNCT
cana-356	281	1	_	_	PUNCT
cana-356	282	1	_	_	PUNCT
cana-356	283	1	_	_	PUNCT
cana-356	284	1	_	_	PUNCT
cana-356	285	1	_	_	PUNCT
cana-356	286	1	_	_	PUNCT
cana-356	287	1	_	_	PUNCT
cana-356	288	1	_	_	PUNCT
cana-356	289	1	_	_	PUNCT
cana-356	290	1	_	_	PUNCT
cana-356	291	1	_	_	PUNCT
cana-356	292	1	_	_	PUNCT
cana-356	293	1	_	_	PUNCT
cana-356	294	1	_	_	PUNCT
cana-356	295	1	_	_	PUNCT
cana-356	296	1	_	_	PUNCT
cana-356	297	1	_	_	PUNCT
cana-356	298	1	_	_	PUNCT
cana-356	299	1	_	_	PUNCT
cana-356	300	1	_	_	PUNCT
cana-356	301	1	_	_	PUNCT
cana-356	302	1	_	_	PUNCT
cana-356	303	1	_	_	PUNCT
cana-356	304	1	_	_	PUNCT
cana-356	305	1	_	_	PUNCT
cana-356	306	1	_	_	PUNCT
cana-356	307	1	_	_	PUNCT
cana-356	308	1	_	_	PUNCT
cana-356	309	1	_	_	PUNCT
cana-356	310	1	_	_	PUNCT
cana-356	311	1	_	_	PUNCT
cana-356	312	1	_	_	PUNCT
cana-356	313	1	_	_	PUNCT
cana-356	314	1	_	_	PUNCT
cana-356	315	1	_	_	PUNCT
cana-356	316	1	_	_	PUNCT
cana-356	317	1	_	_	PUNCT
cana-356	318	1	_	_	PUNCT
cana-356	319	1	_	_	PUNCT
cana-356	319	2	theorem	theorem	VERB
cana-356	319	3	3.1	3.1	NUM
cana-356	319	4	.	.	PUNCT
cana-356	320	1	let	let	VERB
cana-356	320	2	1	1	NUM
cana-356	320	3	1	1	NUM
cana-356	320	4	(	(	PUNCT
cana-356	320	5	,	,	PUNCT
cana-356	320	6	)	)	PUNCT
cana-356	320	7	np	np	PRON
cana-356	320	8			NOUN
cana-356	320	9			NOUN
cana-356	320	10	be	be	AUX
cana-356	320	11	the	the	DET
cana-356	320	12	m	m	ADJ
cana-356	320	13	-	-	ADJ
cana-356	320	14	fuzzy	fuzzy	ADJ
cana-356	320	15	labeled	label	VERB
cana-356	320	16	path	path	NOUN
cana-356	320	17	graph	graph	NOUN
cana-356	320	18	for	for	ADP
cana-356	320	19	all	all	DET
cana-356	320	20	2n	2n	NUM
cana-356	320	21	then	then	ADV
cana-356	320	22	np	np	INTJ
cana-356	320	23	admits	admit	VERB
cana-356	320	24	m	m	ADJ
cana-356	320	25	-	-	ADJ
cana-356	320	26	feam	feam	ADJ
cana-356	320	27	labeling	labeling	NOUN
cana-356	320	28	.	.	PUNCT
cana-356	321	1	proof	proof	NOUN
cana-356	321	2	.	.	PUNCT
cana-356	322	1	let	let	VERB
cana-356	322	2	(	(	PUNCT
cana-356	322	3	0,1]z	0,1]z	NOUN
cana-356	322	4	→	→	PUNCT
cana-356	322	5	such	such	ADJ
cana-356	322	6	that	that	SCONJ
cana-356	322	7	2	2	NUM
cana-356	322	8	2	2	NUM
cana-356	322	9	1	1	NUM
cana-356	322	10	1	1	NUM
cana-356	322	11	3	3	NUM
cana-356	322	12	1	1	NUM
cana-356	322	13	1	1	NUM
cana-356	322	14	1	1	NUM
cana-356	322	15	1	1	NUM
cana-356	322	16	1	1	NUM
cana-356	322	17	1	1	NUM
cana-356	322	18	,	,	PUNCT
cana-356	322	19	1	1	NUM
cana-356	322	20	49	49	NUM
cana-356	322	21	10	10	NUM
cana-356	322	22	1	1	NUM
cana-356	322	23	,	,	PUNCT
cana-356	322	24	49	49	NUM
cana-356	322	25	49	49	NUM
cana-356	322	26	(	(	PUNCT
cana-356	322	27	45	45	NUM
cana-356	322	28	10	10	NUM
cana-356	322	29	)	)	PUNCT
cana-356	322	30	,	,	PUNCT
cana-356	322	31	1	1	NUM
cana-356	322	32	10	10	NUM
cana-356	322	33	1	1	NUM
cana-356	322	34	,	,	PUNCT
cana-356	322	35	49	49	NUM
cana-356	322	36	(	(	PUNCT
cana-356	322	37	45	45	NUM
cana-356	322	38	10	10	NUM
cana-356	322	39	)	)	PUNCT
cana-356	322	40	49	49	NUM
cana-356	322	41	(	(	PUNCT
cana-356	322	42	45	45	NUM
cana-356	322	43	10	10	NUM
cana-356	322	44	)	)	PUNCT
cana-356	322	45	,	,	PUNCT
cana-356	322	46	1,2,3	1,2,3	NUM
cana-356	322	47	,	,	PUNCT
cana-356	322	48	10	10	NUM
cana-356	323	1	i	i	PRON
cana-356	323	2	t	t	PROPN
cana-356	324	1	k	k	PROPN
cana-356	324	2	t	t	PROPN
cana-356	325	1	i	i	PRON
cana-356	325	2	k	k	INTJ
cana-356	326	1	i	i	PRON
cana-356	327	1	i	i	PRON
cana-356	328	1	t	t	X
cana-356	329	1	t	t	PROPN
cana-356	330	1	k	k	PROPN
cana-356	330	2	t	t	PROPN
cana-356	330	3	t	t	PROPN
cana-356	331	1	i	i	PRON
cana-356	331	2	k	k	INTJ
cana-356	332	1	i	i	PRON
cana-356	332	2	k	k	PROPN
cana-356	333	1	n	n	PROPN
cana-356	333	2	z	z	NOUN
cana-356	333	3	n	n	CCONJ
cana-356	333	4	wherek	wherek	NOUN
cana-356	334	1	n	n	CCONJ
cana-356	334	2	wherek	wherek	NOUN
cana-356	335	1	+	+	CCONJ
cana-356	335	2	=	=	SYM
cana-356	335	3			NOUN
cana-356	335	4			NOUN
cana-356	335	5	+	+	PUNCT
cana-356	335	6	=	=	SYM
cana-356	335	7	=	=	SYM
cana-356	335	8			NOUN
cana-356	335	9			NOUN
cana-356	335	10			NOUN
cana-356	335	11			NOUN
cana-356	335	12	+	+	CCONJ
cana-356	335	13			ADP
cana-356	335	14			DET
cana-356	335	15			NUM
cana-356	335	16			PROPN
cana-356	335	17			NOUN
cana-356	336	1			NUM
cana-356	336	2			NUM
cana-356	336	3			NUM
cana-356	336	4	=	=	PROPN
cana-356	336	5			PROPN
cana-356	336	6			NOUN
cana-356	336	7	+	+	CCONJ
cana-356	336	8			X
cana-356	336	9	=	=	NOUN
cana-356	336	10			NUM
cana-356	336	11			NUM
cana-356	336	12			NUM
cana-356	336	13			NUM
cana-356	336	14	+	+	CCONJ
cana-356	336	15			PROPN
cana-356	336	16			PROPN
cana-356	336	17			PROPN
cana-356	336	18	+	+	CCONJ
cana-356	336	19			NOUN
cana-356	336	20	=	=	NOUN
cana-356	336	21			NUM
cana-356	336	22			PROPN
cana-356	336	23			X
cana-356	336	24			X
cana-356	336	25			X
cana-356	336	26	the	the	DET
cana-356	336	27	vertex	vertex	NOUN
cana-356	336	28	membership	membership	NOUN
cana-356	336	29	values	value	NOUN
cana-356	336	30	and	and	CCONJ
cana-356	336	31	edge	edge	NOUN
cana-356	336	32	membership	membership	NOUN
cana-356	336	33	values	value	NOUN
cana-356	336	34	are	be	AUX
cana-356	336	35	defined	define	VERB
cana-356	336	36	using	use	VERB
cana-356	336	37	algorithm	algorithm	NOUN
cana-356	336	38	1	1	NUM
cana-356	336	39	.	.	NOUN
cana-356	336	40	1	1	NUM
cana-356	336	41	1	1	NUM
cana-356	336	42	:	:	PUNCT
cana-356	337	1	[	[	X
cana-356	337	2	0,1	0,1	NUM
cana-356	337	3	]	]	PUNCT
cana-356	337	4	(	(	PUNCT
cana-356	337	5	)	)	PUNCT
cana-356	337	6	(	(	PUNCT
cana-356	337	7	)	)	PUNCT
cana-356	337	8	,	,	PUNCT
cana-356	337	9	1	1	NUM
cana-356	337	10	1i	1i	NOUN
cana-356	337	11	iv	iv	NOUN
cana-356	337	12	v	v	NOUN
cana-356	337	13	n	n	NOUN
cana-356	338	1	i	i	PRON
cana-356	338	2	z	z	PROPN
cana-356	338	3	v	v	NOUN
cana-356	338	4	v	v	ADP
cana-356	338	5	i	i	PRON
cana-356	338	6	n	n	PROPN
cana-356	338	7	→	→	PROPN
cana-356	338	8			PROPN
cana-356	338	9	=	=	SYM
cana-356	339	1	+	+	CCONJ
cana-356	339	2			ADJ
cana-356	339	3			NOUN
cana-356	339	4			NOUN
cana-356	339	5			NOUN
cana-356	339	6	+	+	CCONJ
cana-356	339	7	1	1	NUM
cana-356	339	8	:	:	PUNCT
cana-356	340	1	[	[	X
cana-356	340	2	0,1]v	0,1]v	X
cana-356	340	3	v	v	PROPN
cana-356	340	4			PROPN
cana-356	340	5	→	→	PUNCT
cana-356	340	6	such	such	ADJ
cana-356	340	7	that	that	SCONJ
cana-356	340	8	communications	communication	NOUN
cana-356	340	9	on	on	ADP
cana-356	340	10	applied	apply	VERB
cana-356	340	11	nonlinear	nonlinear	ADJ
cana-356	340	12	analysis	analysis	NOUN
cana-356	340	13	issn	issn	NOUN
cana-356	340	14	:	:	PUNCT
cana-356	340	15	1074	1074	NUM
cana-356	340	16	-	-	PUNCT
cana-356	340	17	133x	133x	NUM
cana-356	340	18	vol	vol	NOUN
cana-356	340	19	31	31	NUM
cana-356	340	20	no	no	NOUN
cana-356	340	21	.	.	NOUN
cana-356	340	22	1	1	NUM
cana-356	340	23	(	(	PUNCT
cana-356	340	24	2024	2024	NUM
cana-356	340	25	)	)	PUNCT
cana-356	340	26	125	125	NUM
cana-356	340	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	340	28			PROPN
cana-356	340	29			PROPN
cana-356	340	30			NOUN
cana-356	340	31	1	1	NOUN
cana-356	340	32	1	1	NUM
cana-356	340	33	1	1	NUM
cana-356	340	34	1	1	NUM
cana-356	340	35	1	1	NUM
cana-356	340	36	1	1	NUM
cana-356	340	37	1	1	NUM
cana-356	340	38	1	1	NUM
cana-356	340	39	(	(	PUNCT
cana-356	340	40	,	,	PUNCT
cana-356	340	41	)	)	PUNCT
cana-356	340	42	max	max	PROPN
cana-356	340	43	(	(	PUNCT
cana-356	340	44	)	)	PUNCT
cana-356	340	45	,	,	PUNCT
cana-356	340	46	(	(	PUNCT
cana-356	340	47	)	)	PUNCT
cana-356	340	48	min	min	NOUN
cana-356	340	49	(	(	PUNCT
cana-356	340	50	)	)	PUNCT
cana-356	340	51	,	,	PUNCT
cana-356	340	52	(	(	PUNCT
cana-356	340	53	)	)	PUNCT
cana-356	340	54	(	(	PUNCT
cana-356	340	55	1	1	NUM
cana-356	340	56	)	)	PUNCT
cana-356	340	57	,	,	PUNCT
cana-356	340	58	1i	1i	NOUN
cana-356	341	1	i	i	PRON
cana-356	341	2	i	i	PRON
cana-356	342	1	i	i	PRON
cana-356	342	2	i	i	PRON
cana-356	342	3	iv	iv	VERB
cana-356	342	4	v	v	ADP
cana-356	342	5	v	v	NUM
cana-356	342	6	v	v	NUM
cana-356	342	7	v	v	NOUN
cana-356	342	8	v	v	NOUN
cana-356	343	1	i	i	PRON
cana-356	343	2	z	z	VERB
cana-356	344	1	i	i	PRON
cana-356	344	2	n	n	VERB
cana-356	344	3			NOUN
cana-356	344	4			NOUN
cana-356	344	5			NOUN
cana-356	344	6	+	+	NOUN
cana-356	344	7	+	+	CCONJ
cana-356	345	1	+	+	NOUN
cana-356	345	2	=	=	SYM
cana-356	345	3	−	−	PROPN
cana-356	345	4	+	+	CCONJ
cana-356	345	5	−	−	PROPN
cana-356	345	6			NOUN
cana-356	345	7			NOUN
cana-356	345	8	we	we	PRON
cana-356	345	9	discuss	discuss	VERB
cana-356	345	10	m	m	ADJ
cana-356	345	11	-	-	ADJ
cana-356	345	12	feam	feam	NOUN
cana-356	345	13	labeling	labeling	NOUN
cana-356	345	14	of	of	ADP
cana-356	345	15	path	path	NOUN
cana-356	345	16	graph	graph	NOUN
cana-356	345	17	,	,	PUNCT
cana-356	345	18	0	0	NUM
cana-356	346	1	1	1	NUM
cana-356	346	2	1	1	NUM
cana-356	346	3	1	1	NUM
cana-356	346	4	1	1	NUM
cana-356	346	5	1	1	NUM
cana-356	346	6	(	(	PUNCT
cana-356	346	7	)	)	PUNCT
cana-356	346	8	(	(	PUNCT
cana-356	346	9	)	)	PUNCT
cana-356	346	10	(	(	PUNCT
cana-356	346	11	,	,	PUNCT
cana-356	346	12	)	)	PUNCT
cana-356	346	13	(	(	PUNCT
cana-356	346	14	)	)	PUNCT
cana-356	346	15	,	,	PUNCT
cana-356	346	16	1n	1n	NUM
cana-356	347	1	i	i	PRON
cana-356	347	2	i	i	PRON
cana-356	348	1	i	i	PRON
cana-356	348	2	iam	iam	VERB
cana-356	349	1	p	p	NOUN
cana-356	349	2	v	v	INTJ
cana-356	349	3	v	v	NUM
cana-356	349	4	v	v	NOUN
cana-356	349	5	v	v	NOUN
cana-356	349	6	i	i	PRON
cana-356	349	7	n	n	PRON
cana-356	349	8			ADP
cana-356	349	9	+	+	NUM
cana-356	349	10	+	+	NOUN
cana-356	349	11	=	=	SYM
cana-356	349	12	+	+	CCONJ
cana-356	349	13	+	+	NUM
cana-356	349	14			NOUN
cana-356	349	15			NOUN
cana-356	349	16			NOUN
cana-356	350	1			PROPN
cana-356	350	2			NOUN
cana-356	350	3	1	1	NOUN
cana-356	350	4	1	1	NUM
cana-356	350	5	1	1	NUM
cana-356	350	6	1	1	NUM
cana-356	350	7	1	1	NUM
cana-356	350	8	1	1	NUM
cana-356	350	9	(	(	PUNCT
cana-356	350	10	)	)	PUNCT
cana-356	350	11	max	max	PROPN
cana-356	350	12	(	(	PUNCT
cana-356	350	13	)	)	PUNCT
cana-356	350	14	,	,	PUNCT
cana-356	350	15	(	(	PUNCT
cana-356	350	16	)	)	PUNCT
cana-356	350	17	min	min	NOUN
cana-356	350	18	(	(	PUNCT
cana-356	350	19	)	)	PUNCT
cana-356	350	20	,	,	PUNCT
cana-356	350	21	(	(	PUNCT
cana-356	350	22	)	)	PUNCT
cana-356	350	23	(	(	PUNCT
cana-356	350	24	1	1	X
cana-356	350	25	)	)	PUNCT
cana-356	350	26	(	(	PUNCT
cana-356	350	27	1)i	1)i	NUM
cana-356	350	28	i	i	PRON
cana-356	351	1	i	i	PRON
cana-356	351	2	in	in	ADP
cana-356	351	3	i	i	PROPN
cana-356	351	4	z	z	PROPN
cana-356	351	5	v	v	PROPN
cana-356	351	6	v	v	NUM
cana-356	351	7	v	v	NOUN
cana-356	351	8	v	v	NOUN
cana-356	351	9	i	i	PRON
cana-356	351	10	z	z	VERB
cana-356	352	1	n	n	NOUN
cana-356	352	2	i	i	PRON
cana-356	352	3	z	z	NUM
cana-356	352	4			NOUN
cana-356	352	5			NOUN
cana-356	352	6	+	+	NOUN
cana-356	352	7	+	+	NOUN
cana-356	352	8	=	=	X
cana-356	352	9	+	+	X
cana-356	353	1	+	+	CCONJ
cana-356	353	2	−	−	X
cana-356	354	1	+	+	CCONJ
cana-356	354	2	−	−	PROPN
cana-356	355	1	+	+	CCONJ
cana-356	356	1	+	+	PUNCT
cana-356	356	2	+	+	CCONJ
cana-356	356	3	(	(	PUNCT
cana-356	356	4	2	2	NUM
cana-356	356	5	3	3	NUM
cana-356	356	6	1)n	1)n	NUM
cana-356	357	1	i	i	PRON
cana-356	357	2	z=	z=	VERB
cana-356	358	1	+	+	X
cana-356	358	2	+	+	CCONJ
cana-356	358	3	from	from	ADP
cana-356	358	4	the	the	DET
cana-356	358	5	above	above	NOUN
cana-356	358	6	,	,	PUNCT
cana-356	358	7	it	it	PRON
cana-356	358	8	is	be	AUX
cana-356	358	9	evident	evident	ADJ
cana-356	358	10	that	that	SCONJ
cana-356	358	11	the	the	DET
cana-356	358	12	m	m	NOUN
cana-356	358	13	-	-	ADJ
cana-356	358	14	fuzzy	fuzzy	ADJ
cana-356	358	15	labeled	label	VERB
cana-356	358	16	path	path	NOUN
cana-356	358	17	graph	graph	NOUN
cana-356	358	18	np	np	AUX
cana-356	358	19	admits	admit	VERB
cana-356	358	20	m	m	ADJ
cana-356	358	21	-	-	ADJ
cana-356	358	22	feam	feam	ADJ
cana-356	358	23	labeling	labeling	NOUN
cana-356	358	24	.	.	PUNCT
cana-356	359	1	example	example	NOUN
cana-356	360	1	3.1	3.1	NUM
cana-356	360	2	.	.	PUNCT
cana-356	360	3	fig	fig	NOUN
cana-356	360	4	.	.	PUNCT
cana-356	361	1	1	1	NUM
cana-356	361	2	.	.	X
cana-356	361	3	499p	499p	NUM
cana-356	361	4	m	m	NOUN
cana-356	361	5	-	-	PUNCT
cana-356	361	6	feam	feam	NOUN
cana-356	361	7	path	path	NOUN
cana-356	361	8	graph	graph	NOUN
cana-356	361	9	theorem	theorem	VERB
cana-356	361	10	3.2	3.2	NUM
cana-356	361	11	.	.	PUNCT
cana-356	362	1	let	let	VERB
cana-356	362	2	1	1	NUM
cana-356	362	3	1	1	NUM
cana-356	362	4	(	(	PUNCT
cana-356	362	5	,	,	PUNCT
cana-356	362	6	)	)	PUNCT
cana-356	362	7	np	np	PRON
cana-356	362	8			NOUN
cana-356	362	9			NOUN
cana-356	362	10	be	be	AUX
cana-356	362	11	the	the	DET
cana-356	362	12	m	m	ADJ
cana-356	362	13	-	-	ADJ
cana-356	362	14	fuzzy	fuzzy	ADJ
cana-356	362	15	labeled	label	VERB
cana-356	362	16	path	path	NOUN
cana-356	362	17	graph	graph	NOUN
cana-356	362	18	for	for	ADP
cana-356	362	19	all	all	DET
cana-356	362	20	2n	2n	NUM
cana-356	362	21	and	and	CCONJ
cana-356	362	22	if	if	SCONJ
cana-356	362	23	n	n	PRON
cana-356	362	24	is	be	AUX
cana-356	362	25	even	even	ADV
cana-356	362	26	then	then	ADV
cana-356	362	27	np	np	INTJ
cana-356	362	28	admits	admit	VERB
cana-356	362	29	m	m	NOUN
cana-356	362	30	-	-	ADJ
cana-356	362	31	fvam	fvam	ADJ
cana-356	362	32	labeling	labeling	NOUN
cana-356	362	33	.	.	PUNCT
cana-356	363	1	proof	proof	NOUN
cana-356	363	2	.	.	PUNCT
cana-356	364	1	given	give	VERB
cana-356	364	2	1	1	NUM
cana-356	364	3	1	1	NUM
cana-356	364	4	(	(	PUNCT
cana-356	364	5	,	,	PUNCT
cana-356	364	6	)	)	PUNCT
cana-356	364	7	np	np	PRON
cana-356	364	8			NOUN
cana-356	364	9			NOUN
cana-356	364	10	be	be	AUX
cana-356	364	11	the	the	DET
cana-356	364	12	fuzzy	fuzzy	ADJ
cana-356	364	13	labeled	label	VERB
cana-356	364	14	path	path	NOUN
cana-356	364	15	graph	graph	NOUN
cana-356	364	16	.	.	PUNCT
cana-356	365	1	to	to	PART
cana-356	365	2	prove	prove	VERB
cana-356	365	3	that	that	SCONJ
cana-356	365	4	m	m	ADJ
cana-356	365	5	-	-	ADJ
cana-356	365	6	fuzzy	fuzzy	ADJ
cana-356	365	7	labeled	label	VERB
cana-356	365	8	path	path	NOUN
cana-356	365	9	graph	graph	NOUN
cana-356	365	10	1	1	NUM
cana-356	365	11	1	1	NUM
cana-356	365	12	(	(	PUNCT
cana-356	365	13	,	,	PUNCT
cana-356	365	14	)	)	PUNCT
cana-356	365	15	np	np	ADP
cana-356	365	16			NOUN
cana-356	365	17			NOUN
cana-356	365	18	satisfies	satisfy	VERB
cana-356	365	19	the	the	DET
cana-356	365	20	condition	condition	NOUN
cana-356	365	21	of	of	ADP
cana-356	365	22	m	m	NOUN
cana-356	365	23	-	-	PUNCT
cana-356	365	24	fvam	fvam	ADJ
cana-356	365	25	labeling	labeling	NOUN
cana-356	365	26	.	.	PUNCT
cana-356	366	1	that	that	PRON
cana-356	366	2	is	be	AUX
cana-356	366	3	to	to	PART
cana-356	366	4	prove	prove	VERB
cana-356	366	5	that	that	SCONJ
cana-356	366	6	for	for	ADP
cana-356	366	7	any	any	DET
cana-356	366	8	two	two	NUM
cana-356	366	9	vertices	vertex	NOUN
cana-356	366	10	u	u	NOUN
cana-356	366	11	and	and	CCONJ
cana-356	366	12	v	v	NOUN
cana-356	366	13	in	in	ADP
cana-356	366	14	np	np	INTJ
cana-356	366	15	,	,	PUNCT
cana-356	366	16	the	the	DET
cana-356	366	17	total	total	NOUN
cana-356	366	18	of	of	ADP
cana-356	366	19	the	the	DET
cana-356	366	20	grade	grade	NOUN
cana-356	366	21	membership	membership	NOUN
cana-356	366	22	on	on	ADP
cana-356	366	23	the	the	DET
cana-356	366	24	edges	edge	NOUN
cana-356	366	25	incident	incident	NOUN
cana-356	366	26	at	at	ADP
cana-356	366	27	the	the	DET
cana-356	366	28	vertex	vertex	NOUN
cana-356	366	29	u	u	NOUN
cana-356	366	30	is	be	AUX
cana-356	366	31	distinct	distinct	ADJ
cana-356	366	32	from	from	ADP
cana-356	366	33	the	the	DET
cana-356	366	34	total	total	NOUN
cana-356	366	35	of	of	ADP
cana-356	366	36	the	the	DET
cana-356	366	37	grade	grade	NOUN
cana-356	366	38	membership	membership	NOUN
cana-356	366	39	on	on	ADP
cana-356	366	40	the	the	DET
cana-356	366	41	edges	edge	NOUN
cana-356	366	42	incident	incident	NOUN
cana-356	366	43	at	at	ADP
cana-356	366	44	the	the	DET
cana-356	366	45	vertex	vertex	NOUN
cana-356	366	46	v	v	NOUN
cana-356	366	47	.	.	PUNCT
cana-356	367	1	the	the	DET
cana-356	367	2	vertex	vertex	NOUN
cana-356	367	3	membership	membership	NOUN
cana-356	367	4	values	value	NOUN
cana-356	367	5	and	and	CCONJ
cana-356	367	6	edge	edge	NOUN
cana-356	367	7	membership	membership	NOUN
cana-356	367	8	values	value	NOUN
cana-356	367	9	are	be	AUX
cana-356	367	10	defined	define	VERB
cana-356	367	11	using	use	VERB
cana-356	367	12	algorithm	algorithm	NOUN
cana-356	367	13	1	1	NUM
cana-356	367	14	.	.	PUNCT
cana-356	368	1	let	let	VERB
cana-356	368	2	(	(	PUNCT
cana-356	368	3	0,1]z	0,1]z	NOUN
cana-356	368	4	→	→	PUNCT
cana-356	368	5	such	such	ADJ
cana-356	368	6	that	that	SCONJ
cana-356	368	7	2	2	NUM
cana-356	368	8	2	2	NUM
cana-356	368	9	1	1	NUM
cana-356	368	10	1	1	NUM
cana-356	368	11	3	3	NUM
cana-356	368	12	1	1	NUM
cana-356	368	13	1	1	NUM
cana-356	368	14	1	1	NUM
cana-356	368	15	1	1	NUM
cana-356	368	16	1	1	NUM
cana-356	368	17	1	1	NUM
cana-356	368	18	,	,	PUNCT
cana-356	368	19	1	1	NUM
cana-356	368	20	49	49	NUM
cana-356	368	21	10	10	NUM
cana-356	368	22	1	1	NUM
cana-356	368	23	,	,	PUNCT
cana-356	368	24	49	49	NUM
cana-356	368	25	49	49	NUM
cana-356	368	26	(	(	PUNCT
cana-356	368	27	45	45	NUM
cana-356	368	28	10	10	NUM
cana-356	368	29	)	)	PUNCT
cana-356	368	30	,	,	PUNCT
cana-356	368	31	1	1	NUM
cana-356	368	32	10	10	NUM
cana-356	368	33	1	1	NUM
cana-356	368	34	,	,	PUNCT
cana-356	368	35	49	49	NUM
cana-356	368	36	(	(	PUNCT
cana-356	368	37	45	45	NUM
cana-356	368	38	10	10	NUM
cana-356	368	39	)	)	PUNCT
cana-356	368	40	49	49	NUM
cana-356	368	41	(	(	PUNCT
cana-356	368	42	45	45	NUM
cana-356	368	43	10	10	NUM
cana-356	368	44	)	)	PUNCT
cana-356	368	45	,	,	PUNCT
cana-356	368	46	1,2,3	1,2,3	NUM
cana-356	368	47	,	,	PUNCT
cana-356	368	48	10	10	NUM
cana-356	369	1	i	i	PRON
cana-356	369	2	t	t	PROPN
cana-356	370	1	k	k	PROPN
cana-356	370	2	t	t	PROPN
cana-356	371	1	i	i	PRON
cana-356	371	2	k	k	INTJ
cana-356	372	1	i	i	PRON
cana-356	373	1	i	i	PRON
cana-356	374	1	t	t	X
cana-356	375	1	t	t	PROPN
cana-356	376	1	k	k	PROPN
cana-356	376	2	t	t	PROPN
cana-356	376	3	t	t	PROPN
cana-356	377	1	i	i	PRON
cana-356	377	2	k	k	INTJ
cana-356	378	1	i	i	PRON
cana-356	378	2	k	k	PROPN
cana-356	379	1	n	n	PROPN
cana-356	379	2	z	z	NOUN
cana-356	379	3	n	n	CCONJ
cana-356	379	4	wherek	wherek	NOUN
cana-356	380	1	n	n	CCONJ
cana-356	380	2	wherek	wherek	NOUN
cana-356	381	1	+	+	CCONJ
cana-356	381	2	=	=	SYM
cana-356	381	3			NOUN
cana-356	381	4			NOUN
cana-356	381	5	+	+	PUNCT
cana-356	381	6	=	=	SYM
cana-356	381	7	=	=	SYM
cana-356	381	8			NOUN
cana-356	381	9			NOUN
cana-356	381	10			NOUN
cana-356	381	11			NOUN
cana-356	381	12	+	+	CCONJ
cana-356	381	13			ADP
cana-356	381	14			DET
cana-356	381	15			NUM
cana-356	381	16			PROPN
cana-356	381	17			NOUN
cana-356	382	1			NUM
cana-356	382	2			NUM
cana-356	382	3			NUM
cana-356	382	4	=	=	PROPN
cana-356	382	5			PROPN
cana-356	382	6			NOUN
cana-356	382	7	+	+	CCONJ
cana-356	382	8			X
cana-356	382	9	=	=	NOUN
cana-356	382	10			NUM
cana-356	382	11			NUM
cana-356	382	12			NUM
cana-356	382	13			NUM
cana-356	382	14	+	+	CCONJ
cana-356	382	15			PROPN
cana-356	382	16			PROPN
cana-356	382	17			PROPN
cana-356	382	18	+	+	CCONJ
cana-356	382	19			NOUN
cana-356	382	20	=	=	NOUN
cana-356	382	21			NUM
cana-356	382	22			PROPN
cana-356	382	23			X
cana-356	382	24			X
cana-356	382	25			X
cana-356	382	26	communications	communication	NOUN
cana-356	382	27	on	on	ADP
cana-356	382	28	applied	apply	VERB
cana-356	382	29	nonlinear	nonlinear	ADJ
cana-356	382	30	analysis	analysis	NOUN
cana-356	382	31	issn	issn	NOUN
cana-356	382	32	:	:	PUNCT
cana-356	382	33	1074	1074	NUM
cana-356	382	34	-	-	PUNCT
cana-356	382	35	133x	133x	NUM
cana-356	382	36	vol	vol	NOUN
cana-356	382	37	31	31	NUM
cana-356	382	38	no	no	NOUN
cana-356	382	39	.	.	NOUN
cana-356	382	40	1	1	NUM
cana-356	382	41	(	(	PUNCT
cana-356	382	42	2024	2024	NUM
cana-356	382	43	)	)	PUNCT
cana-356	382	44	126	126	NUM
cana-356	382	45	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	382	46	1	1	NUM
cana-356	382	47	1	1	NUM
cana-356	382	48	:	:	PUNCT
cana-356	383	1	[	[	X
cana-356	383	2	0,1	0,1	NUM
cana-356	383	3	]	]	PUNCT
cana-356	383	4	(	(	PUNCT
cana-356	383	5	)	)	PUNCT
cana-356	383	6	(	(	PUNCT
cana-356	383	7	)	)	PUNCT
cana-356	383	8	,	,	PUNCT
cana-356	383	9	1	1	NUM
cana-356	383	10	1i	1i	NOUN
cana-356	383	11	iv	iv	NOUN
cana-356	383	12	v	v	NOUN
cana-356	383	13	n	n	NOUN
cana-356	384	1	i	i	PRON
cana-356	384	2	z	z	PROPN
cana-356	384	3	v	v	NOUN
cana-356	384	4	v	v	ADP
cana-356	384	5	i	i	PRON
cana-356	384	6	n	n	PROPN
cana-356	384	7	→	→	PROPN
cana-356	384	8			PROPN
cana-356	384	9	=	=	SYM
cana-356	385	1	+	+	CCONJ
cana-356	385	2			ADJ
cana-356	385	3			NOUN
cana-356	385	4			NOUN
cana-356	385	5			NOUN
cana-356	385	6	+	+	CCONJ
cana-356	385	7	(	(	PUNCT
cana-356	385	8	3.1	3.1	NUM
cana-356	385	9	)	)	PUNCT
cana-356	385	10	1	1	NUM
cana-356	385	11	:	:	PUNCT
cana-356	386	1	[	[	X
cana-356	386	2	0,1]v	0,1]v	X
cana-356	386	3	v	v	PROPN
cana-356	386	4			PROPN
cana-356	386	5	→	→	PUNCT
cana-356	386	6	such	such	ADJ
cana-356	386	7	that	that	SCONJ
cana-356	386	8			PROPN
cana-356	386	9			PROPN
cana-356	386	10			X
cana-356	386	11	1	1	NOUN
cana-356	386	12	1	1	NUM
cana-356	386	13	1	1	NUM
cana-356	386	14	1	1	NUM
cana-356	386	15	1	1	NUM
cana-356	386	16	1	1	NUM
cana-356	386	17	1	1	NUM
cana-356	386	18	1	1	NUM
cana-356	386	19	(	(	PUNCT
cana-356	386	20	,	,	PUNCT
cana-356	386	21	)	)	PUNCT
cana-356	386	22	max	max	PROPN
cana-356	386	23	(	(	PUNCT
cana-356	386	24	)	)	PUNCT
cana-356	386	25	,	,	PUNCT
cana-356	386	26	(	(	PUNCT
cana-356	386	27	)	)	PUNCT
cana-356	386	28	min	min	NOUN
cana-356	386	29	(	(	PUNCT
cana-356	386	30	)	)	PUNCT
cana-356	386	31	,	,	PUNCT
cana-356	386	32	(	(	PUNCT
cana-356	386	33	)	)	PUNCT
cana-356	386	34	(	(	PUNCT
cana-356	386	35	1	1	NUM
cana-356	386	36	)	)	PUNCT
cana-356	386	37	,	,	PUNCT
cana-356	386	38	1i	1i	NOUN
cana-356	387	1	i	i	PRON
cana-356	387	2	i	i	PRON
cana-356	388	1	i	i	PRON
cana-356	388	2	i	i	PRON
cana-356	388	3	iv	iv	VERB
cana-356	388	4	v	v	ADP
cana-356	388	5	v	v	NUM
cana-356	388	6	v	v	NUM
cana-356	388	7	v	v	NOUN
cana-356	388	8	v	v	NOUN
cana-356	389	1	i	i	PRON
cana-356	389	2	z	z	VERB
cana-356	390	1	i	i	PRON
cana-356	390	2	n	n	VERB
cana-356	390	3			NOUN
cana-356	390	4			NOUN
cana-356	390	5			NOUN
cana-356	390	6	+	+	NOUN
cana-356	390	7	+	+	CCONJ
cana-356	391	1	+	+	NOUN
cana-356	391	2	=	=	SYM
cana-356	391	3	−	−	PROPN
cana-356	391	4	+	+	CCONJ
cana-356	391	5	−	−	PROPN
cana-356	391	6			NUM
cana-356	391	7			NOUN
cana-356	391	8	(	(	PUNCT
cana-356	391	9	3.2	3.2	NUM
cana-356	391	10	)	)	PUNCT
cana-356	391	11	also	also	ADV
cana-356	391	12	,	,	PUNCT
cana-356	391	13	the	the	DET
cana-356	391	14	total	total	NOUN
cana-356	391	15	of	of	ADP
cana-356	391	16	the	the	DET
cana-356	391	17	edge	edge	NOUN
cana-356	391	18	labels	label	NOUN
cana-356	391	19	incident	incident	NOUN
cana-356	391	20	at	at	ADP
cana-356	391	21	1	1	NUM
cana-356	391	22	(	(	PUNCT
cana-356	391	23	)	)	PUNCT
cana-356	391	24	(	(	PUNCT
cana-356	391	25	)	)	PUNCT
cana-356	391	26	(	(	PUNCT
cana-356	391	27	,	,	PUNCT
cana-356	391	28	)	)	PUNCT
cana-356	392	1	i	i	PRON
cana-356	392	2	i	i	PRON
cana-356	393	1	i	i	PRON
cana-356	393	2	i	i	VERB
cana-356	393	3	u	u	VERB
cana-356	393	4	n	n	ADV
cana-356	393	5	v	v	NOUN
cana-356	393	6	v	v	NOUN
cana-356	393	7	wt	wt	PROPN
cana-356	393	8	v	v	NOUN
cana-356	393	9	u	u	NOUN
cana-356	393	10	v	v	NOUN
cana-356	393	11			NOUN
cana-356	393	12	=	=	PUNCT
cana-356	393	13	=	=	SYM
cana-356	393	14			X
cana-356	393	15	(	(	PUNCT
cana-356	393	16	3.3	3.3	NUM
cana-356	393	17	)	)	PUNCT
cana-356	393	18	where	where	SCONJ
cana-356	393	19	(	(	PUNCT
cana-356	393	20	)	)	PUNCT
cana-356	393	21	in	in	ADP
cana-356	393	22	v	v	NUM
cana-356	393	23	be	be	AUX
cana-356	393	24	the	the	DET
cana-356	393	25	neighbourhood	neighbourhood	NOUN
cana-356	393	26	vertices	vertex	NOUN
cana-356	393	27	of	of	ADP
cana-356	393	28	iv	iv	NUM
cana-356	393	29	for	for	ADP
cana-356	393	30	all	all	DET
cana-356	393	31	1i	1i	NOUN
cana-356	393	32	=	=	PUNCT
cana-356	393	33	to	to	ADP
cana-356	393	34	1n+	1n+	NUM
cana-356	393	35	and	and	CCONJ
cana-356	393	36	(	(	PUNCT
cana-356	393	37	)	)	PUNCT
cana-356	393	38	iwt	iwt	PROPN
cana-356	393	39	v	v	AUX
cana-356	393	40	be	be	AUX
cana-356	393	41	the	the	DET
cana-356	393	42	weight	weight	NOUN
cana-356	393	43	of	of	ADP
cana-356	393	44	iv	iv	NUM
cana-356	393	45	.	.	PUNCT
cana-356	394	1	from	from	ADP
cana-356	394	2	equation	equation	NOUN
cana-356	394	3	(	(	PUNCT
cana-356	394	4	3.1	3.1	NUM
cana-356	394	5	)	)	PUNCT
cana-356	394	6	,	,	PUNCT
cana-356	394	7	(	(	PUNCT
cana-356	394	8	3.2	3.2	NUM
cana-356	394	9	)	)	PUNCT
cana-356	394	10	and	and	CCONJ
cana-356	394	11	(	(	PUNCT
cana-356	394	12	3.3	3.3	NUM
cana-356	394	13	)	)	PUNCT
cana-356	394	14	for	for	ADP
cana-356	394	15	any	any	DET
cana-356	394	16	two	two	NUM
cana-356	394	17	vertices	vertex	NOUN
cana-356	394	18	pv	pv	ADV
cana-356	394	19	and	and	CCONJ
cana-356	394	20	qv	qv	X
cana-356	394	21	with	with	ADP
cana-356	394	22	p	p	PROPN
cana-356	394	23	q	q	PROPN
cana-356	394	24	,	,	PUNCT
cana-356	394	25	(	(	PUNCT
cana-356	394	26	)	)	PUNCT
cana-356	394	27	pwt	pwt	PROPN
cana-356	394	28	v	v	NOUN
cana-356	394	29	and	and	CCONJ
cana-356	394	30	(	(	PUNCT
cana-356	394	31	)	)	PUNCT
cana-356	394	32	qwt	qwt	NOUN
cana-356	394	33	v	v	NOUN
cana-356	394	34	have	have	VERB
cana-356	394	35	distinct	distinct	ADJ
cana-356	394	36	values	value	NOUN
cana-356	394	37	.	.	PUNCT
cana-356	395	1	thus	thus	ADV
cana-356	395	2	,	,	PUNCT
cana-356	395	3	a	a	DET
cana-356	395	4	path	path	NOUN
cana-356	395	5	graph	graph	NOUN
cana-356	395	6	of	of	ADP
cana-356	395	7	even	even	ADV
cana-356	395	8	length	length	NOUN
cana-356	395	9	admits	admit	VERB
cana-356	395	10	m	m	NOUN
cana-356	395	11	-	-	PUNCT
cana-356	395	12	fvam	fvam	ADJ
cana-356	395	13	labeling	labeling	NOUN
cana-356	395	14	.	.	PUNCT
cana-356	396	1	example	example	NOUN
cana-356	397	1	3.2	3.2	NUM
cana-356	397	2	.	.	PUNCT
cana-356	397	3	fig	fig	NOUN
cana-356	397	4	.	.	PUNCT
cana-356	398	1	2	2	X
cana-356	398	2	.	.	X
cana-356	398	3	500p	500p	NOUN
cana-356	398	4	m	m	VERB
cana-356	398	5	-	-	PUNCT
cana-356	398	6	fvam	fvam	NOUN
cana-356	398	7	path	path	NOUN
cana-356	398	8	graph	graph	NOUN
cana-356	398	9	m	m	NOUN
cana-356	398	10	-	-	ADJ
cana-356	398	11	fuzzy	fuzzy	ADJ
cana-356	398	12	labeled	label	VERB
cana-356	398	13	star	star	NOUN
cana-356	398	14	graph	graph	NOUN
cana-356	398	15	1,ns	1,ns	NOUN
cana-356	398	16	:	:	PUNCT
cana-356	399	1	_	_	PUNCT
cana-356	400	1	_	_	PUNCT
cana-356	401	1	_	_	PUNCT
cana-356	402	1	_	_	PUNCT
cana-356	403	1	_	_	PUNCT
cana-356	404	1	_	_	PUNCT
cana-356	405	1	_	_	PUNCT
cana-356	406	1	_	_	PUNCT
cana-356	407	1	_	_	PUNCT
cana-356	408	1	_	_	PUNCT
cana-356	409	1	_	_	PUNCT
cana-356	410	1	_	_	PUNCT
cana-356	411	1	_	_	PUNCT
cana-356	412	1	_	_	PUNCT
cana-356	413	1	_	_	PUNCT
cana-356	414	1	_	_	PUNCT
cana-356	415	1	_	_	PUNCT
cana-356	416	1	_	_	PUNCT
cana-356	417	1	_	_	PUNCT
cana-356	418	1	_	_	PUNCT
cana-356	419	1	_	_	PUNCT
cana-356	420	1	_	_	PUNCT
cana-356	421	1	_	_	PUNCT
cana-356	422	1	_	_	PUNCT
cana-356	423	1	_	_	PUNCT
cana-356	424	1	_	_	PUNCT
cana-356	425	1	_	_	PUNCT
cana-356	426	1	_	_	PUNCT
cana-356	427	1	_	_	PUNCT
cana-356	428	1	_	_	PUNCT
cana-356	429	1	_	_	PUNCT
cana-356	430	1	_	_	PUNCT
cana-356	431	1	_	_	PUNCT
cana-356	432	1	_	_	PUNCT
cana-356	433	1	_	_	PUNCT
cana-356	434	1	_	_	PUNCT
cana-356	435	1	_	_	PUNCT
cana-356	436	1	_	_	PUNCT
cana-356	437	1	_	_	PUNCT
cana-356	438	1	_	_	PUNCT
cana-356	439	1	_	_	PUNCT
cana-356	440	1	_	_	PUNCT
cana-356	441	1	_	_	PUNCT
cana-356	442	1	_	_	PUNCT
cana-356	443	1	_	_	PUNCT
cana-356	444	1	_	_	PUNCT
cana-356	445	1	_	_	PUNCT
cana-356	446	1	_	_	PUNCT
cana-356	447	1	_	_	PUNCT
cana-356	448	1	_	_	PUNCT
cana-356	449	1	_	_	PUNCT
cana-356	450	1	_	_	PUNCT
cana-356	451	1	_	_	PUNCT
cana-356	452	1	_	_	PUNCT
cana-356	453	1	_	_	PUNCT
cana-356	454	1	_	_	PUNCT
cana-356	455	1	_	_	PUNCT
cana-356	456	1	_	_	PUNCT
cana-356	457	1	_	_	PUNCT
cana-356	458	1	_	_	PUNCT
cana-356	459	1	_	_	PUNCT
cana-356	460	1	_	_	PUNCT
cana-356	461	1	_	_	PUNCT
cana-356	462	1	_	_	PUNCT
cana-356	463	1	_	_	PUNCT
cana-356	464	1	_	_	PUNCT
cana-356	465	1	_	_	PUNCT
cana-356	466	1	_	_	PUNCT
cana-356	467	1	_	_	PUNCT
cana-356	468	1	_	_	PUNCT
cana-356	469	1	_	_	PUNCT
cana-356	470	1	_	_	PUNCT
cana-356	471	1	_	_	PUNCT
cana-356	472	1	_	_	PUNCT
cana-356	473	1	_	_	PUNCT
cana-356	474	1	_	_	PUNCT
cana-356	475	1	_	_	PUNCT
cana-356	476	1	_	_	PUNCT
cana-356	477	1	_	_	PUNCT
cana-356	478	1	_	_	PUNCT
cana-356	479	1	_	_	PUNCT
cana-356	479	2	algorithm	algorithm	NOUN
cana-356	479	3	2	2	NUM
cana-356	480	1	_	_	PUNCT
cana-356	481	1	_	_	PUNCT
cana-356	482	1	_	_	PUNCT
cana-356	483	1	_	_	PUNCT
cana-356	484	1	_	_	PUNCT
cana-356	485	1	_	_	PUNCT
cana-356	486	1	_	_	PUNCT
cana-356	487	1	_	_	PUNCT
cana-356	488	1	_	_	PUNCT
cana-356	489	1	_	_	PUNCT
cana-356	490	1	_	_	PUNCT
cana-356	491	1	_	_	PUNCT
cana-356	492	1	_	_	PUNCT
cana-356	493	1	_	_	PUNCT
cana-356	494	1	_	_	PUNCT
cana-356	495	1	_	_	PUNCT
cana-356	496	1	_	_	PUNCT
cana-356	497	1	_	_	PUNCT
cana-356	498	1	_	_	PUNCT
cana-356	499	1	_	_	PUNCT
cana-356	500	1	_	_	PUNCT
cana-356	501	1	_	_	PUNCT
cana-356	502	1	_	_	PUNCT
cana-356	503	1	_	_	PUNCT
cana-356	504	1	_	_	PUNCT
cana-356	505	1	_	_	PUNCT
cana-356	506	1	_	_	PUNCT
cana-356	507	1	_	_	PUNCT
cana-356	508	1	_	_	PUNCT
cana-356	509	1	_	_	PUNCT
cana-356	510	1	_	_	PUNCT
cana-356	511	1	_	_	PUNCT
cana-356	512	1	_	_	PUNCT
cana-356	513	1	_	_	PUNCT
cana-356	514	1	_	_	PUNCT
cana-356	515	1	_	_	PUNCT
cana-356	516	1	_	_	PUNCT
cana-356	517	1	_	_	PUNCT
cana-356	518	1	_	_	PUNCT
cana-356	519	1	_	_	PUNCT
cana-356	520	1	_	_	PUNCT
cana-356	521	1	_	_	PUNCT
cana-356	522	1	_	_	PUNCT
cana-356	523	1	_	_	PUNCT
cana-356	524	1	_	_	PUNCT
cana-356	525	1	_	_	PUNCT
cana-356	526	1	_	_	PUNCT
cana-356	527	1	_	_	PUNCT
cana-356	528	1	_	_	PUNCT
cana-356	529	1	_	_	PUNCT
cana-356	530	1	_	_	PUNCT
cana-356	531	1	_	_	PUNCT
cana-356	532	1	_	_	PUNCT
cana-356	533	1	_	_	PUNCT
cana-356	534	1	_	_	PUNCT
cana-356	535	1	_	_	PUNCT
cana-356	536	1	_	_	PUNCT
cana-356	537	1	_	_	PUNCT
cana-356	538	1	_	_	PUNCT
cana-356	539	1	_	_	PUNCT
cana-356	540	1	_	_	PUNCT
cana-356	541	1	_	_	PUNCT
cana-356	542	1	_	_	PUNCT
cana-356	543	1	_	_	PUNCT
cana-356	544	1	_	_	PUNCT
cana-356	545	1	_	_	PUNCT
cana-356	546	1	_	_	PUNCT
cana-356	547	1	_	_	PUNCT
cana-356	548	1	_	_	PUNCT
cana-356	549	1	_	_	PUNCT
cana-356	550	1	_	_	PUNCT
cana-356	551	1	_	_	PUNCT
cana-356	552	1	_	_	PUNCT
cana-356	553	1	_	_	PUNCT
cana-356	554	1	_	_	PUNCT
cana-356	555	1	_	_	PUNCT
cana-356	556	1	_	_	PUNCT
cana-356	557	1	_	_	PUNCT
cana-356	558	1	_	_	PUNCT
cana-356	559	1	_	_	PUNCT
cana-356	560	1	_	_	PUNCT
cana-356	561	1	m	m	ADJ
cana-356	561	2	-	-	ADJ
cana-356	561	3	fuzzy	fuzzy	ADJ
cana-356	561	4	labeling	labeling	NOUN
cana-356	561	5	of	of	ADP
cana-356	561	6	edges	edge	NOUN
cana-356	561	7	and	and	CCONJ
cana-356	561	8	vertices	vertex	NOUN
cana-356	561	9	of	of	ADP
cana-356	561	10	1,ns	1,ns	NOUN
cana-356	561	11	with	with	ADP
cana-356	561	12	3n	3n	NUM
cana-356	561	13	,	,	PUNCT
cana-356	561	14	n	n	X
cana-356	561	15	is	be	AUX
cana-356	561	16	the	the	DET
cana-356	561	17	no	no	NOUN
cana-356	561	18	.	.	PUNCT
cana-356	561	19	of	of	ADP
cana-356	561	20	pendent	pendent	NOUN
cana-356	561	21	edges	edge	NOUN
cana-356	561	22	and	and	CCONJ
cana-356	561	23	(	(	PUNCT
cana-356	561	24	0,1]z	0,1]z	NOUN
cana-356	561	25	1	1	X
cana-356	561	26	.	.	PUNCT
cana-356	561	27	input	input	NOUN
cana-356	561	28	:	:	PUNCT
cana-356	561	29	enter	enter	VERB
cana-356	561	30	values	value	NOUN
cana-356	561	31	for	for	ADP
cana-356	561	32	n	n	NOUN
cana-356	561	33	and	and	CCONJ
cana-356	561	34	z	z	NOUN
cana-356	561	35	.	.	PUNCT
cana-356	562	1	2	2	X
cana-356	562	2	.	.	X
cana-356	562	3	maximum	maximum	ADJ
cana-356	562	4	number	number	NOUN
cana-356	562	5	of	of	ADP
cana-356	562	6	vertices	vertex	NOUN
cana-356	562	7	are	be	AUX
cana-356	562	8	1n+	1n+	NUM
cana-356	562	9	.	.	PUNCT
cana-356	563	1	3	3	X
cana-356	563	2	.	.	X
cana-356	563	3	vertex	vertex	NOUN
cana-356	563	4	labeling	labeling	NOUN
cana-356	563	5	be	be	VERB
cana-356	563	6	,	,	PUNCT
cana-356	563	7	for	for	ADP
cana-356	563	8	1i	1i	NOUN
cana-356	563	9	=	=	SYM
cana-356	563	10	to	to	ADP
cana-356	563	11	1n+	1n+	NUM
cana-356	563	12	{	{	PUNCT
cana-356	563	13	if	if	SCONJ
cana-356	563	14	1i	1i	NUM
cana-356	563	15	=	=	SYM
cana-356	563	16	or	or	CCONJ
cana-356	563	17	2i	2i	NUM
cana-356	563	18	=	=	SYM
cana-356	563	19	1	1	NUM
cana-356	563	20	(	(	PUNCT
cana-356	563	21	)	)	PUNCT
cana-356	563	22	(	(	PUNCT
cana-356	563	23	)	)	PUNCT
cana-356	563	24	iv	iv	X
cana-356	563	25	n	n	NUM
cana-356	563	26	i	i	PRON
cana-356	563	27	z	z	NUM
cana-356	563	28	=	=	PUNCT
cana-356	564	1	+	+	CCONJ
cana-356	564	2	if	if	SCONJ
cana-356	564	3	3	3	NUM
cana-356	564	4	i	i	PRON
cana-356	564	5	n	n	VERB
cana-356	564	6			NOUN
cana-356	564	7	1	1	NUM
cana-356	564	8	(	(	PUNCT
cana-356	564	9	)	)	PUNCT
cana-356	564	10	(	(	PUNCT
cana-356	564	11	1)iv	1)iv	NUM
cana-356	564	12	n	n	NOUN
cana-356	564	13	i	i	PRON
cana-356	564	14	z	z	NUM
cana-356	564	15	=	=	PUNCT
cana-356	565	1	+	+	PUNCT
cana-356	565	2	+	+	CCONJ
cana-356	565	3	}	}	PUNCT
cana-356	565	4	if	if	SCONJ
cana-356	565	5	3n	3n	NUM
cana-356	565	6	1	1	NUM
cana-356	565	7	(	(	PUNCT
cana-356	565	8	)	)	PUNCT
cana-356	565	9	(	(	PUNCT
cana-356	565	10	3)w	3)w	NUM
cana-356	565	11	n	n	NOUN
cana-356	565	12	z	z	NUM
cana-356	565	13	=	=	SYM
cana-356	566	1	+	+	NUM
cana-356	566	2	communications	communication	NOUN
cana-356	566	3	on	on	ADP
cana-356	566	4	applied	apply	VERB
cana-356	566	5	nonlinear	nonlinear	ADJ
cana-356	566	6	analysis	analysis	NOUN
cana-356	566	7	issn	issn	NOUN
cana-356	566	8	:	:	PUNCT
cana-356	566	9	1074	1074	NUM
cana-356	566	10	-	-	PUNCT
cana-356	566	11	133x	133x	NUM
cana-356	566	12	vol	vol	NOUN
cana-356	566	13	31	31	NUM
cana-356	566	14	no	no	NOUN
cana-356	566	15	.	.	NOUN
cana-356	566	16	1	1	NUM
cana-356	566	17	(	(	PUNCT
cana-356	566	18	2024	2024	NUM
cana-356	566	19	)	)	PUNCT
cana-356	567	1	127	127	NUM
cana-356	567	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	567	3	4	4	X
cana-356	567	4	.	.	X
cana-356	567	5	edge	edge	NOUN
cana-356	567	6	labeling	labeling	NOUN
cana-356	567	7	be	be	AUX
cana-356	567	8	,	,	PUNCT
cana-356	567	9	for	for	ADP
cana-356	567	10	1i	1i	NOUN
cana-356	567	11	=	=	SYM
cana-356	567	12	to	to	ADP
cana-356	567	13	1n+	1n+	NUM
cana-356	567	14	{	{	PUNCT
cana-356	567	15	if	if	SCONJ
cana-356	567	16	1i	1i	NOUN
cana-356	567	17	=	=	SYM
cana-356	567	18			NOUN
cana-356	567	19			PROPN
cana-356	567	20			NOUN
cana-356	567	21	1	1	NOUN
cana-356	567	22	1	1	NUM
cana-356	567	23	1	1	NUM
cana-356	567	24	1	1	NUM
cana-356	567	25	1	1	NUM
cana-356	567	26	(	(	PUNCT
cana-356	567	27	,	,	PUNCT
cana-356	567	28	)	)	PUNCT
cana-356	567	29	max	max	PROPN
cana-356	567	30	(	(	PUNCT
cana-356	567	31	)	)	PUNCT
cana-356	567	32	,	,	PUNCT
cana-356	567	33	(	(	PUNCT
cana-356	567	34	)	)	PUNCT
cana-356	567	35	min	min	NOUN
cana-356	567	36	(	(	PUNCT
cana-356	567	37	)	)	PUNCT
cana-356	567	38	,	,	PUNCT
cana-356	567	39	(	(	PUNCT
cana-356	567	40	)	)	PUNCT
cana-356	567	41	i	i	PRON
cana-356	567	42	i	i	PRON
cana-356	568	1	iw	iw	VERB
cana-356	568	2	v	v	INTJ
cana-356	569	1	w	w	PROPN
cana-356	569	2	v	v	PROPN
cana-356	569	3	w	w	PROPN
cana-356	569	4	v	v	ADP
cana-356	569	5	z	z	NUM
cana-356	569	6			NOUN
cana-356	569	7			NOUN
cana-356	569	8			NOUN
cana-356	569	9	=	=	NOUN
cana-356	569	10	−	−	PROPN
cana-356	570	1	−	−	PROPN
cana-356	571	1	if	if	SCONJ
cana-356	571	2	2i	2i	NUM
cana-356	571	3	=	=	SYM
cana-356	572	1			NOUN
cana-356	572	2			PROPN
cana-356	572	3			NOUN
cana-356	572	4	1	1	NOUN
cana-356	572	5	1	1	NUM
cana-356	572	6	1	1	NUM
cana-356	572	7	1	1	NUM
cana-356	572	8	1	1	NUM
cana-356	572	9	(	(	PUNCT
cana-356	572	10	,	,	PUNCT
cana-356	572	11	)	)	PUNCT
cana-356	572	12	max	max	PROPN
cana-356	572	13	(	(	PUNCT
cana-356	572	14	)	)	PUNCT
cana-356	572	15	,	,	PUNCT
cana-356	572	16	(	(	PUNCT
cana-356	572	17	)	)	PUNCT
cana-356	572	18	min	min	NOUN
cana-356	572	19	(	(	PUNCT
cana-356	572	20	)	)	PUNCT
cana-356	572	21	,	,	PUNCT
cana-356	572	22	(	(	PUNCT
cana-356	572	23	)	)	PUNCT
cana-356	572	24	i	i	PRON
cana-356	572	25	i	i	PRON
cana-356	573	1	iw	iw	VERB
cana-356	573	2	v	v	INTJ
cana-356	573	3	w	w	PROPN
cana-356	573	4	v	v	PROPN
cana-356	573	5	w	w	PROPN
cana-356	573	6	v	v	ADP
cana-356	573	7	z	z	NUM
cana-356	573	8			NOUN
cana-356	573	9			NOUN
cana-356	573	10			NOUN
cana-356	573	11	=	=	NOUN
cana-356	573	12	−	−	PROPN
cana-356	574	1	+	+	CCONJ
cana-356	574	2	if	if	SCONJ
cana-356	574	3	3	3	NUM
cana-356	574	4	i	i	PRON
cana-356	574	5	n	n	VERB
cana-356	574	6			NUM
cana-356	574	7			PROPN
cana-356	575	1			PROPN
cana-356	575	2			NOUN
cana-356	575	3	1	1	NOUN
cana-356	575	4	1	1	NUM
cana-356	575	5	1	1	NUM
cana-356	575	6	1	1	NUM
cana-356	575	7	1	1	NUM
cana-356	575	8	(	(	PUNCT
cana-356	575	9	,	,	PUNCT
cana-356	575	10	)	)	PUNCT
cana-356	575	11	max	max	PROPN
cana-356	575	12	(	(	PUNCT
cana-356	575	13	)	)	PUNCT
cana-356	575	14	,	,	PUNCT
cana-356	575	15	(	(	PUNCT
cana-356	575	16	)	)	PUNCT
cana-356	575	17	min	min	NOUN
cana-356	575	18	(	(	PUNCT
cana-356	575	19	)	)	PUNCT
cana-356	575	20	,	,	PUNCT
cana-356	575	21	(	(	PUNCT
cana-356	575	22	)	)	PUNCT
cana-356	575	23	2i	2i	NOUN
cana-356	575	24	i	i	PRON
cana-356	575	25	iw	iw	VERB
cana-356	575	26	v	v	VERB
cana-356	575	27	w	w	PROPN
cana-356	575	28	v	v	PROPN
cana-356	575	29	w	w	PROPN
cana-356	575	30	v	v	ADP
cana-356	575	31	z	z	NUM
cana-356	575	32			NOUN
cana-356	575	33			NOUN
cana-356	575	34			NOUN
cana-356	575	35	=	=	NOUN
cana-356	575	36	−	−	PROPN
cana-356	576	1	+	+	CCONJ
cana-356	576	2	}	}	SYM
cana-356	576	3	5	5	X
cana-356	576	4	.	.	X
cana-356	576	5	output	output	NOUN
cana-356	576	6	:	:	PUNCT
cana-356	576	7	print	print	VERB
cana-356	576	8	the	the	DET
cana-356	576	9	values	value	NOUN
cana-356	576	10	of	of	ADP
cana-356	576	11	vertices	vertex	NOUN
cana-356	576	12	and	and	CCONJ
cana-356	576	13	edges	edge	NOUN
cana-356	576	14	.	.	PUNCT
cana-356	577	1	_	_	PUNCT
cana-356	578	1	_	_	PUNCT
cana-356	579	1	_	_	PUNCT
cana-356	580	1	_	_	PUNCT
cana-356	581	1	_	_	PUNCT
cana-356	582	1	_	_	PUNCT
cana-356	583	1	_	_	PUNCT
cana-356	584	1	_	_	PUNCT
cana-356	585	1	_	_	PUNCT
cana-356	586	1	_	_	PUNCT
cana-356	587	1	_	_	PUNCT
cana-356	588	1	_	_	PUNCT
cana-356	589	1	_	_	PUNCT
cana-356	590	1	_	_	PUNCT
cana-356	591	1	_	_	PUNCT
cana-356	592	1	_	_	PUNCT
cana-356	593	1	_	_	PUNCT
cana-356	594	1	_	_	PUNCT
cana-356	595	1	_	_	PUNCT
cana-356	596	1	_	_	PUNCT
cana-356	597	1	_	_	PUNCT
cana-356	598	1	_	_	PUNCT
cana-356	599	1	_	_	PUNCT
cana-356	600	1	_	_	PUNCT
cana-356	601	1	_	_	PUNCT
cana-356	602	1	_	_	PUNCT
cana-356	603	1	_	_	PUNCT
cana-356	604	1	_	_	PUNCT
cana-356	605	1	_	_	PUNCT
cana-356	606	1	_	_	PUNCT
cana-356	607	1	_	_	PUNCT
cana-356	608	1	_	_	PUNCT
cana-356	609	1	_	_	PUNCT
cana-356	610	1	_	_	PUNCT
cana-356	611	1	_	_	PUNCT
cana-356	612	1	_	_	PUNCT
cana-356	613	1	_	_	PUNCT
cana-356	614	1	_	_	PUNCT
cana-356	615	1	_	_	PUNCT
cana-356	616	1	_	_	PUNCT
cana-356	617	1	_	_	PUNCT
cana-356	618	1	_	_	PUNCT
cana-356	619	1	_	_	PUNCT
cana-356	620	1	_	_	PUNCT
cana-356	621	1	_	_	PUNCT
cana-356	622	1	_	_	PUNCT
cana-356	623	1	_	_	PUNCT
cana-356	624	1	_	_	PUNCT
cana-356	625	1	_	_	PUNCT
cana-356	626	1	_	_	PUNCT
cana-356	627	1	_	_	PUNCT
cana-356	628	1	_	_	PUNCT
cana-356	629	1	_	_	PUNCT
cana-356	630	1	_	_	PUNCT
cana-356	631	1	_	_	PUNCT
cana-356	632	1	_	_	PUNCT
cana-356	633	1	_	_	PUNCT
cana-356	634	1	_	_	PUNCT
cana-356	635	1	_	_	PUNCT
cana-356	636	1	_	_	PUNCT
cana-356	637	1	_	_	PUNCT
cana-356	638	1	_	_	PUNCT
cana-356	639	1	_	_	PUNCT
cana-356	640	1	_	_	PUNCT
cana-356	641	1	_	_	PUNCT
cana-356	642	1	_	_	PUNCT
cana-356	643	1	_	_	PUNCT
cana-356	644	1	_	_	PUNCT
cana-356	645	1	_	_	PUNCT
cana-356	646	1	_	_	PUNCT
cana-356	647	1	_	_	PUNCT
cana-356	648	1	_	_	PUNCT
cana-356	649	1	_	_	PUNCT
cana-356	650	1	_	_	PUNCT
cana-356	651	1	_	_	PUNCT
cana-356	652	1	_	_	PUNCT
cana-356	653	1	_	_	PUNCT
cana-356	654	1	_	_	PUNCT
cana-356	655	1	_	_	PUNCT
cana-356	656	1	_	_	PUNCT
cana-356	657	1	_	_	PUNCT
cana-356	657	2	theorem	theorem	VERB
cana-356	657	3	3.3	3.3	NUM
cana-356	657	4	.	.	PUNCT
cana-356	658	1	let	let	VERB
cana-356	658	2	1	1	NUM
cana-356	658	3	,	,	PUNCT
cana-356	658	4	1	1	NUM
cana-356	658	5	1	1	NUM
cana-356	658	6	(	(	PUNCT
cana-356	658	7	,	,	PUNCT
cana-356	658	8	)	)	PUNCT
cana-356	658	9	ns	ns	NUM
cana-356	658	10			NOUN
cana-356	658	11			NOUN
cana-356	658	12	be	be	AUX
cana-356	658	13	the	the	DET
cana-356	658	14	m	m	ADJ
cana-356	658	15	-	-	ADJ
cana-356	658	16	fuzzy	fuzzy	ADJ
cana-356	658	17	labeled	label	VERB
cana-356	658	18	star	star	NOUN
cana-356	658	19	graph	graph	NOUN
cana-356	658	20	for	for	ADP
cana-356	658	21	all	all	DET
cana-356	658	22	𝑛	𝑛	DET
cana-356	658	23	≥	≥	NOUN
cana-356	658	24	3	3	NUM
cana-356	658	25	.	.	PUNCT
cana-356	659	1	then	then	ADV
cana-356	659	2	1,ns	1,ns	NUM
cana-356	659	3	is	be	AUX
cana-356	659	4	a	a	DET
cana-356	659	5	m	m	ADJ
cana-356	659	6	-	-	ADJ
cana-356	659	7	feam	feam	NOUN
cana-356	659	8	labeling	labeling	NOUN
cana-356	659	9	.	.	PUNCT
cana-356	660	1	proof	proof	NOUN
cana-356	660	2	.	.	PUNCT
cana-356	661	1	let	let	VERB
cana-356	661	2	(	(	PUNCT
cana-356	661	3	0,1]z	0,1]z	NOUN
cana-356	661	4	→	→	PUNCT
cana-356	661	5	such	such	ADJ
cana-356	661	6	that	that	SCONJ
cana-356	661	7	2	2	NUM
cana-356	661	8	2	2	NUM
cana-356	661	9	1	1	NUM
cana-356	661	10	1	1	NUM
cana-356	661	11	3	3	NUM
cana-356	661	12	1	1	NUM
cana-356	661	13	1	1	NUM
cana-356	661	14	1	1	NUM
cana-356	661	15	1	1	NUM
cana-356	661	16	1	1	NUM
cana-356	661	17	1	1	NUM
cana-356	661	18	,	,	PUNCT
cana-356	661	19	1	1	NUM
cana-356	661	20	49	49	NUM
cana-356	661	21	10	10	NUM
cana-356	661	22	1	1	NUM
cana-356	661	23	,	,	PUNCT
cana-356	661	24	49	49	NUM
cana-356	661	25	49	49	NUM
cana-356	661	26	(	(	PUNCT
cana-356	661	27	45	45	NUM
cana-356	661	28	10	10	NUM
cana-356	661	29	)	)	PUNCT
cana-356	661	30	,	,	PUNCT
cana-356	661	31	1	1	NUM
cana-356	661	32	10	10	NUM
cana-356	661	33	1	1	NUM
cana-356	661	34	,	,	PUNCT
cana-356	661	35	49	49	NUM
cana-356	661	36	(	(	PUNCT
cana-356	661	37	45	45	NUM
cana-356	661	38	10	10	NUM
cana-356	661	39	)	)	PUNCT
cana-356	661	40	49	49	NUM
cana-356	661	41	(	(	PUNCT
cana-356	661	42	45	45	NUM
cana-356	661	43	10	10	NUM
cana-356	661	44	)	)	PUNCT
cana-356	661	45	,	,	PUNCT
cana-356	661	46	1,2,3	1,2,3	NUM
cana-356	661	47	,	,	PUNCT
cana-356	661	48	10	10	NUM
cana-356	662	1	i	i	PRON
cana-356	662	2	t	t	PROPN
cana-356	663	1	k	k	PROPN
cana-356	663	2	t	t	PROPN
cana-356	664	1	i	i	PRON
cana-356	664	2	k	k	INTJ
cana-356	665	1	i	i	PRON
cana-356	666	1	i	i	PRON
cana-356	667	1	t	t	X
cana-356	668	1	t	t	PROPN
cana-356	669	1	k	k	PROPN
cana-356	669	2	t	t	PROPN
cana-356	669	3	t	t	PROPN
cana-356	670	1	i	i	PRON
cana-356	670	2	k	k	INTJ
cana-356	671	1	i	i	PRON
cana-356	671	2	k	k	PROPN
cana-356	672	1	n	n	PROPN
cana-356	672	2	z	z	NOUN
cana-356	672	3	n	n	CCONJ
cana-356	672	4	wherek	wherek	NOUN
cana-356	673	1	n	n	CCONJ
cana-356	673	2	wherek	wherek	NOUN
cana-356	674	1	+	+	CCONJ
cana-356	674	2	=	=	SYM
cana-356	674	3			NOUN
cana-356	674	4			NOUN
cana-356	674	5	+	+	PUNCT
cana-356	674	6	=	=	SYM
cana-356	674	7	=	=	SYM
cana-356	674	8			NOUN
cana-356	674	9			NOUN
cana-356	674	10			NOUN
cana-356	674	11			NOUN
cana-356	674	12	+	+	CCONJ
cana-356	674	13			ADP
cana-356	674	14			DET
cana-356	674	15			NUM
cana-356	674	16			PROPN
cana-356	674	17			NOUN
cana-356	675	1			NUM
cana-356	675	2			NUM
cana-356	675	3			NUM
cana-356	675	4	=	=	PROPN
cana-356	675	5			PROPN
cana-356	675	6			NOUN
cana-356	675	7	+	+	CCONJ
cana-356	675	8			X
cana-356	675	9	=	=	NOUN
cana-356	675	10			NUM
cana-356	675	11			NUM
cana-356	675	12			NUM
cana-356	675	13			NUM
cana-356	675	14	+	+	CCONJ
cana-356	675	15			PROPN
cana-356	675	16			PROPN
cana-356	675	17			PROPN
cana-356	675	18	+	+	CCONJ
cana-356	675	19			NOUN
cana-356	675	20	=	=	NOUN
cana-356	675	21			NUM
cana-356	675	22			PROPN
cana-356	675	23			X
cana-356	675	24			X
cana-356	675	25			X
cana-356	675	26	the	the	DET
cana-356	675	27	vertex	vertex	NOUN
cana-356	675	28	membership	membership	NOUN
cana-356	675	29	values	value	NOUN
cana-356	675	30	and	and	CCONJ
cana-356	675	31	edge	edge	NOUN
cana-356	675	32	membership	membership	NOUN
cana-356	675	33	values	value	NOUN
cana-356	675	34	are	be	AUX
cana-356	675	35	defined	define	VERB
cana-356	675	36	using	use	VERB
cana-356	675	37	algorithm	algorithm	NOUN
cana-356	675	38	2	2	NUM
cana-356	675	39	.	.	NOUN
cana-356	675	40	1	1	NUM
cana-356	675	41	:	:	PUNCT
cana-356	676	1	[	[	X
cana-356	676	2	0,1]v	0,1]v	X
cana-356	676	3	→	→	PUNCT
cana-356	676	4	such	such	ADJ
cana-356	676	5	that	that	SCONJ
cana-356	676	6	1	1	NUM
cana-356	676	7	(	(	PUNCT
cana-356	676	8	)	)	PUNCT
cana-356	676	9	(	(	PUNCT
cana-356	676	10	)	)	PUNCT
cana-356	676	11	,	,	PUNCT
cana-356	676	12	1	1	NUM
cana-356	676	13	,	,	PUNCT
cana-356	676	14	2iv	2iv	NOUN
cana-356	676	15	n	n	NOUN
cana-356	676	16	i	i	PROPN
cana-356	676	17	z	z	PROPN
cana-356	676	18	i	i	NUM
cana-356	676	19	=	=	SYM
cana-356	676	20	+	+	CCONJ
cana-356	676	21	=	=	SYM
cana-356	676	22	1	1	NUM
cana-356	676	23	(	(	PUNCT
cana-356	676	24	)	)	PUNCT
cana-356	676	25	(	(	PUNCT
cana-356	676	26	1	1	NUM
cana-356	676	27	)	)	PUNCT
cana-356	676	28	,	,	PUNCT
cana-356	676	29	3iv	3iv	ADJ
cana-356	676	30	n	n	CCONJ
cana-356	676	31	i	i	PRON
cana-356	676	32	z	z	VERB
cana-356	676	33	i	i	PRON
cana-356	676	34	n	n	X
cana-356	676	35	=	=	PUNCT
cana-356	676	36	+	+	CCONJ
cana-356	676	37	+	+	NUM
cana-356	676	38			NOUN
cana-356	676	39			NOUN
cana-356	676	40	1	1	NUM
cana-356	676	41	(	(	PUNCT
cana-356	676	42	)	)	PUNCT
cana-356	676	43	(	(	PUNCT
cana-356	676	44	3	3	NUM
cana-356	676	45	)	)	PUNCT
cana-356	676	46	,	,	PUNCT
cana-356	676	47	3w	3w	NUM
cana-356	676	48	n	n	PROPN
cana-356	676	49	z	z	NOUN
cana-356	676	50	n	n	PROPN
cana-356	676	51	=	=	SYM
cana-356	677	1	+	+	CCONJ
cana-356	677	2			NOUN
cana-356	677	3			NUM
cana-356	677	4	1	1	NUM
cana-356	677	5	:	:	PUNCT
cana-356	678	1	[	[	X
cana-356	678	2	0,1]v	0,1]v	X
cana-356	678	3	v	v	PROPN
cana-356	678	4			PROPN
cana-356	678	5	→	→	PUNCT
cana-356	678	6	such	such	ADJ
cana-356	678	7	that	that	SCONJ
cana-356	678	8			PROPN
cana-356	678	9			PROPN
cana-356	678	10			X
cana-356	678	11	1	1	NOUN
cana-356	678	12	1	1	NUM
cana-356	678	13	1	1	NUM
cana-356	678	14	1	1	NUM
cana-356	678	15	1	1	NUM
cana-356	678	16	(	(	PUNCT
cana-356	678	17	,	,	PUNCT
cana-356	678	18	)	)	PUNCT
cana-356	678	19	max	max	PROPN
cana-356	678	20	(	(	PUNCT
cana-356	678	21	)	)	PUNCT
cana-356	678	22	,	,	PUNCT
cana-356	678	23	(	(	PUNCT
cana-356	678	24	)	)	PUNCT
cana-356	678	25	min	min	NOUN
cana-356	678	26	(	(	PUNCT
cana-356	678	27	)	)	PUNCT
cana-356	678	28	,	,	PUNCT
cana-356	678	29	(	(	PUNCT
cana-356	678	30	)	)	PUNCT
cana-356	678	31	,	,	PUNCT
cana-356	678	32	1i	1i	NOUN
cana-356	678	33	i	i	PRON
cana-356	678	34	iw	iw	VERB
cana-356	678	35	v	v	VERB
cana-356	678	36	w	w	PROPN
cana-356	678	37	v	v	PROPN
cana-356	678	38	w	w	PROPN
cana-356	678	39	v	v	NOUN
cana-356	678	40	z	z	NOUN
cana-356	678	41	i	i	VERB
cana-356	678	42			NOUN
cana-356	678	43			NOUN
cana-356	678	44			NOUN
cana-356	678	45	=	=	NOUN
cana-356	678	46	−	−	NOUN
cana-356	679	1	−	−	PROPN
cana-356	680	1	=	=	SYM
cana-356	680	2			PROPN
cana-356	680	3			PROPN
cana-356	680	4			NOUN
cana-356	680	5	1	1	NOUN
cana-356	680	6	1	1	NUM
cana-356	680	7	1	1	NUM
cana-356	680	8	1	1	NUM
cana-356	680	9	1	1	NUM
cana-356	680	10	(	(	PUNCT
cana-356	680	11	,	,	PUNCT
cana-356	680	12	)	)	PUNCT
cana-356	680	13	max	max	PROPN
cana-356	680	14	(	(	PUNCT
cana-356	680	15	)	)	PUNCT
cana-356	680	16	,	,	PUNCT
cana-356	680	17	(	(	PUNCT
cana-356	680	18	)	)	PUNCT
cana-356	680	19	min	min	NOUN
cana-356	680	20	(	(	PUNCT
cana-356	680	21	)	)	PUNCT
cana-356	680	22	,	,	PUNCT
cana-356	680	23	(	(	PUNCT
cana-356	680	24	)	)	PUNCT
cana-356	680	25	,	,	PUNCT
cana-356	680	26	2i	2i	NUM
cana-356	680	27	i	i	PRON
cana-356	680	28	iw	iw	VERB
cana-356	680	29	v	v	VERB
cana-356	680	30	w	w	PROPN
cana-356	680	31	v	v	PROPN
cana-356	680	32	w	w	PROPN
cana-356	680	33	v	v	NOUN
cana-356	680	34	z	z	NOUN
cana-356	680	35	i	i	VERB
cana-356	680	36			NOUN
cana-356	680	37			NOUN
cana-356	680	38			NOUN
cana-356	680	39	=	=	NOUN
cana-356	680	40	−	−	PROPN
cana-356	681	1	+	+	CCONJ
cana-356	681	2	=	=	NOUN
cana-356	681	3	communications	communication	NOUN
cana-356	681	4	on	on	ADP
cana-356	681	5	applied	apply	VERB
cana-356	681	6	nonlinear	nonlinear	ADJ
cana-356	681	7	analysis	analysis	NOUN
cana-356	681	8	issn	issn	NOUN
cana-356	681	9	:	:	PUNCT
cana-356	681	10	1074	1074	NUM
cana-356	681	11	-	-	PUNCT
cana-356	681	12	133x	133x	NUM
cana-356	681	13	vol	vol	NOUN
cana-356	681	14	31	31	NUM
cana-356	681	15	no	no	NOUN
cana-356	681	16	.	.	NOUN
cana-356	681	17	1	1	NUM
cana-356	681	18	(	(	PUNCT
cana-356	681	19	2024	2024	NUM
cana-356	681	20	)	)	PUNCT
cana-356	682	1	128	128	NUM
cana-356	682	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	682	3			PROPN
cana-356	682	4			PROPN
cana-356	682	5			NOUN
cana-356	682	6	1	1	NOUN
cana-356	682	7	1	1	NUM
cana-356	682	8	1	1	NUM
cana-356	682	9	1	1	NUM
cana-356	682	10	1	1	NUM
cana-356	682	11	(	(	PUNCT
cana-356	682	12	,	,	PUNCT
cana-356	682	13	)	)	PUNCT
cana-356	682	14	max	max	PROPN
cana-356	682	15	(	(	PUNCT
cana-356	682	16	)	)	PUNCT
cana-356	682	17	,	,	PUNCT
cana-356	682	18	(	(	PUNCT
cana-356	682	19	)	)	PUNCT
cana-356	682	20	min	min	NOUN
cana-356	682	21	(	(	PUNCT
cana-356	682	22	)	)	PUNCT
cana-356	682	23	,	,	PUNCT
cana-356	682	24	(	(	PUNCT
cana-356	682	25	)	)	PUNCT
cana-356	682	26	2	2	NUM
cana-356	682	27	,	,	PUNCT
cana-356	682	28	3i	3i	NOUN
cana-356	682	29	i	i	PRON
cana-356	682	30	iw	iw	VERB
cana-356	682	31	v	v	VERB
cana-356	682	32	w	w	PROPN
cana-356	682	33	v	v	PROPN
cana-356	682	34	w	w	NOUN
cana-356	682	35	v	v	NOUN
cana-356	682	36	z	z	NOUN
cana-356	683	1	i	i	PRON
cana-356	683	2	n	n	VERB
cana-356	683	3			NOUN
cana-356	683	4			NOUN
cana-356	683	5			NOUN
cana-356	683	6	=	=	NOUN
cana-356	683	7	−	−	PROPN
cana-356	684	1	+	+	CCONJ
cana-356	684	2			NOUN
cana-356	684	3			NOUN
cana-356	684	4	we	we	PRON
cana-356	684	5	discuss	discuss	VERB
cana-356	684	6	m	m	ADJ
cana-356	684	7	-	-	ADJ
cana-356	684	8	feam	feam	NOUN
cana-356	684	9	labeling	labeling	NOUN
cana-356	684	10	in	in	ADP
cana-356	684	11	three	three	NUM
cana-356	684	12	cases	case	NOUN
cana-356	684	13	,	,	PUNCT
cana-356	684	14	case	case	NOUN
cana-356	684	15	1	1	NUM
cana-356	684	16	:	:	SYM
cana-356	684	17	0	0	NUM
cana-356	684	18	1	1	NUM
cana-356	684	19	,	,	PUNCT
cana-356	684	20	1	1	NUM
cana-356	684	21	1	1	NUM
cana-356	684	22	1	1	NUM
cana-356	684	23	(	(	PUNCT
cana-356	684	24	)	)	PUNCT
cana-356	684	25	(	(	PUNCT
cana-356	684	26	)	)	PUNCT
cana-356	684	27	(	(	PUNCT
cana-356	684	28	,	,	PUNCT
cana-356	684	29	)	)	PUNCT
cana-356	684	30	(	(	PUNCT
cana-356	684	31	)	)	PUNCT
cana-356	684	32	,	,	PUNCT
cana-356	684	33	1n	1n	NUM
cana-356	684	34	i	i	PRON
cana-356	684	35	iam	iam	VERB
cana-356	684	36	s	s	VERB
cana-356	685	1	w	w	PROPN
cana-356	685	2	w	w	PROPN
cana-356	685	3	v	v	NUM
cana-356	685	4	v	v	NOUN
cana-356	685	5	i	i	NUM
cana-356	685	6			ADP
cana-356	685	7	=	=	PROPN
cana-356	686	1	+	+	PUNCT
cana-356	686	2	+	+	NUM
cana-356	686	3	=	=	SYM
cana-356	686	4			PROPN
cana-356	686	5			PROPN
cana-356	686	6			NOUN
cana-356	686	7	1	1	NOUN
cana-356	686	8	1	1	NUM
cana-356	686	9	1	1	NUM
cana-356	686	10	1	1	NUM
cana-356	686	11	(	(	PUNCT
cana-356	686	12	3	3	NUM
cana-356	686	13	)	)	PUNCT
cana-356	686	14	max	max	NOUN
cana-356	686	15	(	(	PUNCT
cana-356	686	16	)	)	PUNCT
cana-356	686	17	,	,	PUNCT
cana-356	686	18	(	(	PUNCT
cana-356	686	19	)	)	PUNCT
cana-356	686	20	min	min	NOUN
cana-356	686	21	(	(	PUNCT
cana-356	686	22	)	)	PUNCT
cana-356	686	23	,	,	PUNCT
cana-356	686	24	(	(	PUNCT
cana-356	686	25	)	)	PUNCT
cana-356	686	26	(	(	PUNCT
cana-356	686	27	)	)	PUNCT
cana-356	686	28	i	i	PRON
cana-356	686	29	in	in	ADP
cana-356	686	30	z	z	PROPN
cana-356	686	31	w	w	PROPN
cana-356	686	32	v	v	PROPN
cana-356	686	33	w	w	PROPN
cana-356	686	34	v	v	NOUN
cana-356	686	35	z	z	NOUN
cana-356	687	1	n	n	NOUN
cana-356	687	2	i	i	NOUN
cana-356	687	3	z	z	NUM
cana-356	687	4			NOUN
cana-356	687	5			NOUN
cana-356	687	6	=	=	NOUN
cana-356	687	7	+	+	CCONJ
cana-356	688	1	+	+	CCONJ
cana-356	688	2	−	−	ADP
cana-356	688	3	−	−	PROPN
cana-356	689	1	+	+	CCONJ
cana-356	689	2	+	+	CCONJ
cana-356	689	3	(	(	PUNCT
cana-356	689	4	2	2	NUM
cana-356	689	5	4	4	NUM
cana-356	689	6	)	)	PUNCT
cana-356	690	1	n	n	NOUN
cana-356	691	1	i	i	PRON
cana-356	691	2	z=	z=	VERB
cana-356	692	1	+	+	PUNCT
cana-356	692	2	+	+	CCONJ
cana-356	692	3	case	case	NOUN
cana-356	692	4	2	2	NUM
cana-356	692	5	:	:	SYM
cana-356	692	6	0	0	NUM
cana-356	692	7	1	1	NUM
cana-356	692	8	,	,	PUNCT
cana-356	692	9	1	1	NUM
cana-356	692	10	1	1	NUM
cana-356	692	11	1	1	NUM
cana-356	692	12	(	(	PUNCT
cana-356	692	13	)	)	PUNCT
cana-356	692	14	(	(	PUNCT
cana-356	692	15	)	)	PUNCT
cana-356	692	16	(	(	PUNCT
cana-356	692	17	,	,	PUNCT
cana-356	692	18	)	)	PUNCT
cana-356	692	19	(	(	PUNCT
cana-356	692	20	)	)	PUNCT
cana-356	692	21	,	,	PUNCT
cana-356	692	22	2n	2n	NUM
cana-356	693	1	i	i	PRON
cana-356	693	2	iam	iam	PROPN
cana-356	693	3	s	s	VERB
cana-356	693	4	w	w	PROPN
cana-356	693	5	w	w	PROPN
cana-356	693	6	v	v	NUM
cana-356	693	7	v	v	NOUN
cana-356	693	8	i	i	NUM
cana-356	693	9			ADP
cana-356	693	10	=	=	PROPN
cana-356	694	1	+	+	PUNCT
cana-356	695	1	+	+	NUM
cana-356	695	2	=	=	SYM
cana-356	695	3			PROPN
cana-356	695	4			PROPN
cana-356	695	5			NOUN
cana-356	695	6	1	1	NOUN
cana-356	695	7	1	1	NUM
cana-356	695	8	1	1	NUM
cana-356	695	9	1	1	NUM
cana-356	695	10	(	(	PUNCT
cana-356	695	11	3	3	NUM
cana-356	695	12	)	)	PUNCT
cana-356	695	13	max	max	NOUN
cana-356	695	14	(	(	PUNCT
cana-356	695	15	)	)	PUNCT
cana-356	695	16	,	,	PUNCT
cana-356	695	17	(	(	PUNCT
cana-356	695	18	)	)	PUNCT
cana-356	695	19	min	min	NOUN
cana-356	695	20	(	(	PUNCT
cana-356	695	21	)	)	PUNCT
cana-356	695	22	,	,	PUNCT
cana-356	695	23	(	(	PUNCT
cana-356	695	24	)	)	PUNCT
cana-356	695	25	(	(	PUNCT
cana-356	695	26	)	)	PUNCT
cana-356	695	27	i	i	PRON
cana-356	695	28	in	in	ADP
cana-356	695	29	z	z	PROPN
cana-356	695	30	w	w	PROPN
cana-356	695	31	v	v	PROPN
cana-356	695	32	w	w	PROPN
cana-356	695	33	v	v	NOUN
cana-356	695	34	z	z	NOUN
cana-356	696	1	n	n	NOUN
cana-356	696	2	i	i	NOUN
cana-356	696	3	z	z	NUM
cana-356	696	4			NOUN
cana-356	696	5			NOUN
cana-356	696	6	=	=	NOUN
cana-356	696	7	+	+	CCONJ
cana-356	697	1	+	+	CCONJ
cana-356	697	2	−	−	X
cana-356	698	1	+	+	CCONJ
cana-356	698	2	+	+	PUNCT
cana-356	698	3	+	+	CCONJ
cana-356	698	4	(	(	PUNCT
cana-356	698	5	2	2	NUM
cana-356	698	6	5	5	NUM
cana-356	698	7	)	)	PUNCT
cana-356	699	1	n	n	NOUN
cana-356	700	1	i	i	PRON
cana-356	700	2	z=	z=	VERB
cana-356	701	1	+	+	PUNCT
cana-356	701	2	+	+	CCONJ
cana-356	701	3	case	case	NOUN
cana-356	701	4	3	3	NUM
cana-356	701	5	:	:	SYM
cana-356	701	6	0	0	NUM
cana-356	701	7	1	1	NUM
cana-356	701	8	,	,	PUNCT
cana-356	701	9	1	1	NUM
cana-356	701	10	1	1	NUM
cana-356	701	11	1	1	NUM
cana-356	701	12	(	(	PUNCT
cana-356	701	13	)	)	PUNCT
cana-356	701	14	(	(	PUNCT
cana-356	701	15	)	)	PUNCT
cana-356	701	16	(	(	PUNCT
cana-356	701	17	,	,	PUNCT
cana-356	701	18	)	)	PUNCT
cana-356	701	19	(	(	PUNCT
cana-356	701	20	)	)	PUNCT
cana-356	701	21	,	,	PUNCT
cana-356	701	22	3n	3n	NUM
cana-356	701	23	i	i	PRON
cana-356	701	24	iam	iam	VERB
cana-356	701	25	s	s	PART
cana-356	701	26	w	w	NOUN
cana-356	701	27	u	u	PROPN
cana-356	701	28	v	v	NOUN
cana-356	701	29	v	v	ADP
cana-356	701	30	i	i	PRON
cana-356	701	31	n	n	NUM
cana-356	701	32			ADP
cana-356	701	33	=	=	PROPN
cana-356	701	34	+	+	PUNCT
cana-356	701	35	+	+	NUM
cana-356	701	36			NOUN
cana-356	701	37			NOUN
cana-356	701	38			NOUN
cana-356	701	39			PROPN
cana-356	701	40			NOUN
cana-356	701	41	1	1	NOUN
cana-356	701	42	1	1	NUM
cana-356	701	43	1	1	NUM
cana-356	701	44	1	1	NUM
cana-356	701	45	(	(	PUNCT
cana-356	701	46	3	3	NUM
cana-356	701	47	)	)	PUNCT
cana-356	701	48	max	max	NOUN
cana-356	701	49	(	(	PUNCT
cana-356	701	50	)	)	PUNCT
cana-356	701	51	,	,	PUNCT
cana-356	701	52	(	(	PUNCT
cana-356	701	53	)	)	PUNCT
cana-356	701	54	min	min	NOUN
cana-356	701	55	(	(	PUNCT
cana-356	701	56	)	)	PUNCT
cana-356	701	57	,	,	PUNCT
cana-356	701	58	(	(	PUNCT
cana-356	701	59	)	)	PUNCT
cana-356	701	60	2	2	NUM
cana-356	701	61	(	(	PUNCT
cana-356	701	62	1	1	X
cana-356	701	63	)	)	PUNCT
cana-356	701	64	i	i	PRON
cana-356	701	65	in	in	ADP
cana-356	701	66	z	z	PROPN
cana-356	701	67	w	w	PROPN
cana-356	701	68	v	v	PROPN
cana-356	701	69	w	w	PROPN
cana-356	701	70	v	v	NOUN
cana-356	701	71	z	z	NOUN
cana-356	702	1	n	n	NOUN
cana-356	702	2	i	i	NOUN
cana-356	702	3	z	z	NUM
cana-356	702	4			NOUN
cana-356	702	5			NOUN
cana-356	702	6	=	=	NOUN
cana-356	702	7	+	+	CCONJ
cana-356	703	1	+	+	CCONJ
cana-356	703	2	−	−	X
cana-356	704	1	+	+	CCONJ
cana-356	704	2	+	+	PUNCT
cana-356	704	3	+	+	PUNCT
cana-356	704	4	+	+	CCONJ
cana-356	704	5	(	(	PUNCT
cana-356	704	6	2	2	NUM
cana-356	704	7	4	4	NUM
cana-356	704	8	2	2	NUM
cana-356	704	9	)	)	PUNCT
cana-356	705	1	n	n	NOUN
cana-356	706	1	i	i	PRON
cana-356	706	2	z=	z=	VERB
cana-356	707	1	+	+	X
cana-356	707	2	+	+	CCONJ
cana-356	707	3	hence	hence	ADV
cana-356	707	4	,	,	PUNCT
cana-356	707	5	in	in	ADP
cana-356	707	6	case	case	NOUN
cana-356	707	7	1	1	NUM
cana-356	707	8	,	,	PUNCT
cana-356	707	9	case	case	NOUN
cana-356	707	10	2	2	NUM
cana-356	707	11	,	,	PUNCT
cana-356	707	12	and	and	CCONJ
cana-356	707	13	case	case	NOUN
cana-356	707	14	3	3	NUM
cana-356	707	15	,	,	PUNCT
cana-356	707	16	the	the	DET
cana-356	707	17	m	m	NOUN
cana-356	707	18	-	-	ADJ
cana-356	707	19	fuzzy	fuzzy	ADJ
cana-356	707	20	labeled	label	VERB
cana-356	707	21	star	star	NOUN
cana-356	707	22	graph	graph	NOUN
cana-356	707	23	admits	admit	VERB
cana-356	707	24	m	m	ADJ
cana-356	707	25	-	-	ADJ
cana-356	707	26	feam	feam	ADJ
cana-356	707	27	labeling	labeling	NOUN
cana-356	707	28	.	.	PUNCT
cana-356	708	1	theorem	theorem	VERB
cana-356	708	2	3.4	3.4	NUM
cana-356	708	3	.	.	PUNCT
cana-356	709	1	let	let	VERB
cana-356	709	2	1	1	NUM
cana-356	709	3	,	,	PUNCT
cana-356	709	4	1	1	NUM
cana-356	709	5	1	1	NUM
cana-356	709	6	(	(	PUNCT
cana-356	709	7	,	,	PUNCT
cana-356	709	8	)	)	PUNCT
cana-356	709	9	ns	ns	NUM
cana-356	709	10			NOUN
cana-356	709	11			NOUN
cana-356	709	12	be	be	AUX
cana-356	709	13	the	the	DET
cana-356	709	14	m	m	ADJ
cana-356	709	15	-	-	ADJ
cana-356	709	16	fuzzy	fuzzy	ADJ
cana-356	709	17	labeled	label	VERB
cana-356	709	18	star	star	NOUN
cana-356	709	19	graph	graph	NOUN
cana-356	709	20	for	for	ADP
cana-356	709	21	all	all	DET
cana-356	709	22	3n	3n	NUM
cana-356	709	23	.	.	PUNCT
cana-356	710	1	then	then	ADV
cana-356	710	2	1,ns	1,ns	NOUN
cana-356	710	3	is	be	AUX
cana-356	710	4	a	a	DET
cana-356	710	5	m	m	NOUN
cana-356	710	6	-	-	ADJ
cana-356	710	7	fvam	fvam	ADJ
cana-356	710	8	labeling	labeling	NOUN
cana-356	710	9	.	.	PUNCT
cana-356	711	1	proof	proof	NOUN
cana-356	711	2	.	.	PUNCT
cana-356	712	1	given	give	VERB
cana-356	712	2	1	1	NUM
cana-356	712	3	,	,	PUNCT
cana-356	712	4	1	1	NUM
cana-356	712	5	1	1	NUM
cana-356	712	6	(	(	PUNCT
cana-356	712	7	,	,	PUNCT
cana-356	712	8	)	)	PUNCT
cana-356	712	9	ns	ns	NUM
cana-356	712	10			NOUN
cana-356	712	11			NOUN
cana-356	712	12	be	be	AUX
cana-356	712	13	the	the	DET
cana-356	712	14	fuzzy	fuzzy	ADJ
cana-356	712	15	labeled	label	VERB
cana-356	712	16	star	star	NOUN
cana-356	712	17	graph	graph	NOUN
cana-356	712	18	.	.	PUNCT
cana-356	713	1	to	to	PART
cana-356	713	2	prove	prove	VERB
cana-356	713	3	that	that	SCONJ
cana-356	713	4	fuzzy	fuzzy	ADJ
cana-356	713	5	labeled	label	VERB
cana-356	713	6	1	1	NUM
cana-356	713	7	,	,	PUNCT
cana-356	713	8	1	1	NUM
cana-356	713	9	1	1	NUM
cana-356	713	10	(	(	PUNCT
cana-356	713	11	,	,	PUNCT
cana-356	713	12	)	)	PUNCT
cana-356	713	13	ns	ns	NUM
cana-356	713	14			NOUN
cana-356	713	15			NOUN
cana-356	713	16	satisfies	satisfy	VERB
cana-356	713	17	the	the	DET
cana-356	713	18	condition	condition	NOUN
cana-356	713	19	of	of	ADP
cana-356	713	20	m	m	NOUN
cana-356	713	21	-	-	PUNCT
cana-356	713	22	fvam	fvam	ADJ
cana-356	713	23	labeling	labeling	NOUN
cana-356	713	24	.	.	PUNCT
cana-356	714	1	that	that	PRON
cana-356	714	2	is	be	AUX
cana-356	714	3	to	to	PART
cana-356	714	4	prove	prove	VERB
cana-356	714	5	that	that	SCONJ
cana-356	714	6	for	for	ADP
cana-356	714	7	any	any	DET
cana-356	714	8	two	two	NUM
cana-356	714	9	vertices	vertex	NOUN
cana-356	714	10	u	u	NOUN
cana-356	714	11	and	and	CCONJ
cana-356	714	12	v	v	NOUN
cana-356	714	13	in	in	ADP
cana-356	714	14	1,ns	1,ns	NUM
cana-356	714	15	,	,	PUNCT
cana-356	714	16	the	the	DET
cana-356	714	17	total	total	NOUN
cana-356	714	18	of	of	ADP
cana-356	714	19	the	the	DET
cana-356	714	20	grade	grade	NOUN
cana-356	714	21	membership	membership	NOUN
cana-356	714	22	on	on	ADP
cana-356	714	23	the	the	DET
cana-356	714	24	edges	edge	NOUN
cana-356	714	25	incident	incident	NOUN
cana-356	714	26	at	at	ADP
cana-356	714	27	the	the	DET
cana-356	714	28	vertex	vertex	NOUN
cana-356	714	29	u	u	NOUN
cana-356	714	30	is	be	AUX
cana-356	714	31	distinct	distinct	ADJ
cana-356	714	32	from	from	ADP
cana-356	714	33	the	the	DET
cana-356	714	34	total	total	NOUN
cana-356	714	35	of	of	ADP
cana-356	714	36	the	the	DET
cana-356	714	37	grade	grade	NOUN
cana-356	714	38	membership	membership	NOUN
cana-356	714	39	on	on	ADP
cana-356	714	40	the	the	DET
cana-356	714	41	edges	edge	NOUN
cana-356	714	42	incident	incident	NOUN
cana-356	714	43	at	at	ADP
cana-356	714	44	the	the	DET
cana-356	714	45	vertex	vertex	NOUN
cana-356	714	46	v	v	NOUN
cana-356	714	47	.	.	PUNCT
cana-356	715	1	let	let	VERB
cana-356	715	2	(	(	PUNCT
cana-356	715	3	0,1]z	0,1]z	NOUN
cana-356	715	4	→	→	PUNCT
cana-356	715	5	such	such	ADJ
cana-356	715	6	that	that	SCONJ
cana-356	715	7	communications	communication	NOUN
cana-356	715	8	on	on	ADP
cana-356	715	9	applied	apply	VERB
cana-356	715	10	nonlinear	nonlinear	ADJ
cana-356	715	11	analysis	analysis	NOUN
cana-356	715	12	issn	issn	NOUN
cana-356	715	13	:	:	PUNCT
cana-356	715	14	1074	1074	NUM
cana-356	715	15	-	-	PUNCT
cana-356	715	16	133x	133x	NUM
cana-356	715	17	vol	vol	NOUN
cana-356	715	18	31	31	NUM
cana-356	715	19	no	no	NOUN
cana-356	715	20	.	.	NOUN
cana-356	715	21	1	1	NUM
cana-356	715	22	(	(	PUNCT
cana-356	715	23	2024	2024	NUM
cana-356	715	24	)	)	PUNCT
cana-356	715	25	129	129	NUM
cana-356	715	26	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	715	27	2	2	NUM
cana-356	715	28	2	2	NUM
cana-356	715	29	1	1	NUM
cana-356	715	30	1	1	NUM
cana-356	715	31	3	3	NUM
cana-356	715	32	1	1	NUM
cana-356	715	33	1	1	NUM
cana-356	715	34	1	1	NUM
cana-356	715	35	1	1	NUM
cana-356	715	36	1	1	NUM
cana-356	715	37	1	1	NUM
cana-356	715	38	,	,	PUNCT
cana-356	715	39	1	1	NUM
cana-356	715	40	49	49	NUM
cana-356	715	41	10	10	NUM
cana-356	715	42	1	1	NUM
cana-356	715	43	,	,	PUNCT
cana-356	715	44	49	49	NUM
cana-356	715	45	49	49	NUM
cana-356	715	46	(	(	PUNCT
cana-356	715	47	45	45	NUM
cana-356	715	48	10	10	NUM
cana-356	715	49	)	)	PUNCT
cana-356	715	50	,	,	PUNCT
cana-356	715	51	1	1	NUM
cana-356	715	52	10	10	NUM
cana-356	715	53	1	1	NUM
cana-356	715	54	,	,	PUNCT
cana-356	715	55	49	49	NUM
cana-356	715	56	(	(	PUNCT
cana-356	715	57	45	45	NUM
cana-356	715	58	10	10	NUM
cana-356	715	59	)	)	PUNCT
cana-356	715	60	49	49	NUM
cana-356	715	61	(	(	PUNCT
cana-356	715	62	45	45	NUM
cana-356	715	63	10	10	NUM
cana-356	715	64	)	)	PUNCT
cana-356	715	65	,	,	PUNCT
cana-356	715	66	1,2,3	1,2,3	NUM
cana-356	715	67	,	,	PUNCT
cana-356	715	68	10	10	NUM
cana-356	716	1	i	i	PRON
cana-356	716	2	t	t	PROPN
cana-356	717	1	k	k	PROPN
cana-356	717	2	t	t	PROPN
cana-356	718	1	i	i	PRON
cana-356	718	2	k	k	INTJ
cana-356	719	1	i	i	PRON
cana-356	720	1	i	i	PRON
cana-356	721	1	t	t	X
cana-356	722	1	t	t	PROPN
cana-356	723	1	k	k	PROPN
cana-356	723	2	t	t	PROPN
cana-356	723	3	t	t	PROPN
cana-356	724	1	i	i	PRON
cana-356	724	2	k	k	INTJ
cana-356	725	1	i	i	PRON
cana-356	725	2	k	k	PROPN
cana-356	725	3	n	n	PROPN
cana-356	725	4	z	z	NOUN
cana-356	725	5	n	n	PROPN
cana-356	725	6	where	where	SCONJ
cana-356	725	7	k	k	PROPN
cana-356	725	8	n	n	ADV
cana-356	725	9	where	where	SCONJ
cana-356	725	10	k	k	PROPN
cana-356	725	11	+	+	PROPN
cana-356	725	12	=	=	NOUN
cana-356	725	13			NOUN
cana-356	725	14			NOUN
cana-356	725	15	+	+	PUNCT
cana-356	725	16	=	=	SYM
cana-356	725	17	=	=	SYM
cana-356	725	18			NOUN
cana-356	725	19			NOUN
cana-356	725	20			NOUN
cana-356	725	21			NOUN
cana-356	725	22	+	+	CCONJ
cana-356	725	23			ADP
cana-356	725	24			DET
cana-356	725	25			NUM
cana-356	725	26			PROPN
cana-356	725	27			NOUN
cana-356	726	1			NUM
cana-356	726	2			NUM
cana-356	726	3			NUM
cana-356	726	4	=	=	PROPN
cana-356	726	5			PROPN
cana-356	726	6			NOUN
cana-356	726	7	+	+	CCONJ
cana-356	726	8			X
cana-356	726	9	=	=	NOUN
cana-356	726	10			NUM
cana-356	726	11			NUM
cana-356	726	12			NUM
cana-356	726	13			NUM
cana-356	726	14	+	+	CCONJ
cana-356	726	15			PROPN
cana-356	726	16			PROPN
cana-356	726	17			PROPN
cana-356	726	18	+	+	CCONJ
cana-356	726	19			NOUN
cana-356	726	20	=	=	NOUN
cana-356	726	21			NUM
cana-356	726	22			PROPN
cana-356	726	23			X
cana-356	726	24			X
cana-356	726	25			X
cana-356	726	26	the	the	DET
cana-356	726	27	vertex	vertex	NOUN
cana-356	726	28	membership	membership	NOUN
cana-356	726	29	values	value	NOUN
cana-356	726	30	and	and	CCONJ
cana-356	726	31	edge	edge	NOUN
cana-356	726	32	membership	membership	NOUN
cana-356	726	33	values	value	NOUN
cana-356	726	34	are	be	AUX
cana-356	726	35	defined	define	VERB
cana-356	726	36	using	use	VERB
cana-356	726	37	algorithm	algorithm	NOUN
cana-356	726	38	2	2	NUM
cana-356	726	39	.	.	NOUN
cana-356	726	40	1	1	NUM
cana-356	726	41	:	:	PUNCT
cana-356	727	1	[	[	X
cana-356	727	2	0,1]v	0,1]v	X
cana-356	727	3	→	→	PUNCT
cana-356	727	4	such	such	ADJ
cana-356	727	5	that	that	SCONJ
cana-356	727	6	1	1	NUM
cana-356	727	7	(	(	PUNCT
cana-356	727	8	)	)	PUNCT
cana-356	727	9	(	(	PUNCT
cana-356	727	10	)	)	PUNCT
cana-356	727	11	,	,	PUNCT
cana-356	727	12	1	1	NUM
cana-356	727	13	,	,	PUNCT
cana-356	727	14	2iv	2iv	NOUN
cana-356	727	15	n	n	NOUN
cana-356	727	16	i	i	PROPN
cana-356	727	17	z	z	PROPN
cana-356	727	18	i	i	NUM
cana-356	727	19	=	=	SYM
cana-356	727	20	+	+	NUM
cana-356	727	21	=	=	SYM
cana-356	727	22	(	(	PUNCT
cana-356	727	23	3.4	3.4	NUM
cana-356	727	24	)	)	PUNCT
cana-356	727	25	1	1	NUM
cana-356	727	26	(	(	PUNCT
cana-356	727	27	)	)	PUNCT
cana-356	727	28	(	(	PUNCT
cana-356	727	29	1	1	NUM
cana-356	727	30	)	)	PUNCT
cana-356	727	31	,	,	PUNCT
cana-356	727	32	3iv	3iv	ADJ
cana-356	727	33	n	n	CCONJ
cana-356	727	34	i	i	PRON
cana-356	727	35	z	z	VERB
cana-356	727	36	i	i	PRON
cana-356	727	37	n	n	X
cana-356	727	38	=	=	PUNCT
cana-356	727	39	+	+	CCONJ
cana-356	727	40	+	+	NUM
cana-356	727	41			NOUN
cana-356	727	42			NOUN
cana-356	727	43	(	(	PUNCT
cana-356	727	44	3.5	3.5	NUM
cana-356	727	45	)	)	PUNCT
cana-356	727	46	1	1	NUM
cana-356	727	47	(	(	PUNCT
cana-356	727	48	)	)	PUNCT
cana-356	727	49	(	(	PUNCT
cana-356	727	50	3	3	NUM
cana-356	727	51	)	)	PUNCT
cana-356	727	52	,	,	PUNCT
cana-356	727	53	3w	3w	NUM
cana-356	727	54	n	n	PROPN
cana-356	727	55	z	z	NOUN
cana-356	727	56	n	n	PROPN
cana-356	727	57	=	=	SYM
cana-356	728	1	+	+	CCONJ
cana-356	728	2			NOUN
cana-356	728	3			NUM
cana-356	728	4	(	(	PUNCT
cana-356	728	5	3.6	3.6	NUM
cana-356	728	6	)	)	PUNCT
cana-356	728	7	1	1	NUM
cana-356	728	8	:	:	PUNCT
cana-356	729	1	[	[	X
cana-356	729	2	0,1]v	0,1]v	X
cana-356	729	3	v	v	PROPN
cana-356	729	4			PROPN
cana-356	729	5	→	→	PUNCT
cana-356	729	6	such	such	ADJ
cana-356	729	7	that	that	SCONJ
cana-356	729	8			PROPN
cana-356	729	9			PROPN
cana-356	729	10			X
cana-356	729	11	1	1	NOUN
cana-356	729	12	1	1	NUM
cana-356	729	13	1	1	NUM
cana-356	729	14	1	1	NUM
cana-356	729	15	1	1	NUM
cana-356	729	16	(	(	PUNCT
cana-356	729	17	,	,	PUNCT
cana-356	729	18	)	)	PUNCT
cana-356	729	19	max	max	PROPN
cana-356	729	20	(	(	PUNCT
cana-356	729	21	)	)	PUNCT
cana-356	729	22	,	,	PUNCT
cana-356	729	23	(	(	PUNCT
cana-356	729	24	)	)	PUNCT
cana-356	729	25	min	min	NOUN
cana-356	729	26	(	(	PUNCT
cana-356	729	27	)	)	PUNCT
cana-356	729	28	,	,	PUNCT
cana-356	729	29	(	(	PUNCT
cana-356	729	30	)	)	PUNCT
cana-356	729	31	,	,	PUNCT
cana-356	729	32	1i	1i	NOUN
cana-356	729	33	i	i	PRON
cana-356	729	34	iw	iw	VERB
cana-356	729	35	v	v	VERB
cana-356	729	36	w	w	PROPN
cana-356	729	37	v	v	PROPN
cana-356	729	38	w	w	PROPN
cana-356	729	39	v	v	NOUN
cana-356	729	40	z	z	NOUN
cana-356	729	41	i	i	VERB
cana-356	729	42			NOUN
cana-356	729	43			NOUN
cana-356	729	44			NOUN
cana-356	729	45	=	=	NOUN
cana-356	729	46	−	−	PROPN
cana-356	730	1	−	−	PROPN
cana-356	731	1	=	=	SYM
cana-356	732	1	(	(	PUNCT
cana-356	732	2	3.7	3.7	NUM
cana-356	732	3	)	)	PUNCT
cana-356	732	4			NOUN
cana-356	733	1			PROPN
cana-356	733	2			NOUN
cana-356	733	3	1	1	NOUN
cana-356	733	4	1	1	NUM
cana-356	733	5	1	1	NUM
cana-356	733	6	1	1	NUM
cana-356	733	7	1	1	NUM
cana-356	733	8	(	(	PUNCT
cana-356	733	9	,	,	PUNCT
cana-356	733	10	)	)	PUNCT
cana-356	733	11	max	max	PROPN
cana-356	733	12	(	(	PUNCT
cana-356	733	13	)	)	PUNCT
cana-356	733	14	,	,	PUNCT
cana-356	733	15	(	(	PUNCT
cana-356	733	16	)	)	PUNCT
cana-356	733	17	min	min	NOUN
cana-356	733	18	(	(	PUNCT
cana-356	733	19	)	)	PUNCT
cana-356	733	20	,	,	PUNCT
cana-356	733	21	(	(	PUNCT
cana-356	733	22	)	)	PUNCT
cana-356	733	23	,	,	PUNCT
cana-356	733	24	2i	2i	NUM
cana-356	733	25	i	i	PRON
cana-356	733	26	iw	iw	VERB
cana-356	733	27	v	v	VERB
cana-356	733	28	w	w	PROPN
cana-356	733	29	v	v	PROPN
cana-356	733	30	w	w	PROPN
cana-356	733	31	v	v	NOUN
cana-356	733	32	z	z	NOUN
cana-356	733	33	i	i	VERB
cana-356	733	34			NOUN
cana-356	733	35			NOUN
cana-356	733	36			NOUN
cana-356	733	37	=	=	NOUN
cana-356	733	38	−	−	PROPN
cana-356	734	1	+	+	CCONJ
cana-356	734	2	=	=	SYM
cana-356	734	3	(	(	PUNCT
cana-356	734	4	3.8	3.8	NUM
cana-356	734	5	)	)	PUNCT
cana-356	734	6			NOUN
cana-356	735	1			PROPN
cana-356	735	2			NOUN
cana-356	735	3	1	1	NOUN
cana-356	735	4	1	1	NUM
cana-356	735	5	1	1	NUM
cana-356	735	6	1	1	NUM
cana-356	735	7	1	1	NUM
cana-356	735	8	(	(	PUNCT
cana-356	735	9	,	,	PUNCT
cana-356	735	10	)	)	PUNCT
cana-356	735	11	max	max	PROPN
cana-356	735	12	(	(	PUNCT
cana-356	735	13	)	)	PUNCT
cana-356	735	14	,	,	PUNCT
cana-356	735	15	(	(	PUNCT
cana-356	735	16	)	)	PUNCT
cana-356	735	17	min	min	NOUN
cana-356	735	18	(	(	PUNCT
cana-356	735	19	)	)	PUNCT
cana-356	735	20	,	,	PUNCT
cana-356	735	21	(	(	PUNCT
cana-356	735	22	)	)	PUNCT
cana-356	735	23	2	2	NUM
cana-356	735	24	,	,	PUNCT
cana-356	735	25	3i	3i	NOUN
cana-356	735	26	i	i	PRON
cana-356	735	27	iw	iw	VERB
cana-356	735	28	v	v	VERB
cana-356	735	29	w	w	PROPN
cana-356	735	30	v	v	PROPN
cana-356	735	31	w	w	NOUN
cana-356	735	32	v	v	NOUN
cana-356	735	33	z	z	NOUN
cana-356	736	1	i	i	PRON
cana-356	736	2	n	n	VERB
cana-356	736	3			NOUN
cana-356	736	4			NOUN
cana-356	736	5			NOUN
cana-356	736	6	=	=	NOUN
cana-356	736	7	−	−	PROPN
cana-356	737	1	+	+	CCONJ
cana-356	737	2			NUM
cana-356	737	3			NOUN
cana-356	737	4	(	(	PUNCT
cana-356	737	5	3.9	3.9	NUM
cana-356	737	6	)	)	PUNCT
cana-356	737	7	also	also	ADV
cana-356	737	8	,	,	PUNCT
cana-356	737	9	the	the	DET
cana-356	737	10	total	total	NOUN
cana-356	737	11	of	of	ADP
cana-356	737	12	the	the	DET
cana-356	737	13	edge	edge	NOUN
cana-356	737	14	labels	label	NOUN
cana-356	737	15	incident	incident	NOUN
cana-356	737	16	at	at	ADP
cana-356	737	17	1	1	NUM
cana-356	737	18	(	(	PUNCT
cana-356	737	19	)	)	PUNCT
cana-356	737	20	(	(	PUNCT
cana-356	737	21	)	)	PUNCT
cana-356	737	22	(	(	PUNCT
cana-356	737	23	,	,	PUNCT
cana-356	737	24	)	)	PUNCT
cana-356	738	1	i	i	PRON
cana-356	738	2	i	i	PRON
cana-356	739	1	i	i	PRON
cana-356	739	2	i	i	VERB
cana-356	739	3	w	w	VERB
cana-356	739	4	n	n	PROPN
cana-356	739	5	v	v	NUM
cana-356	739	6	v	v	NOUN
cana-356	739	7	wt	wt	NOUN
cana-356	739	8	v	v	NOUN
cana-356	739	9	w	w	PROPN
cana-356	739	10	v	v	PROPN
cana-356	739	11			NOUN
cana-356	739	12	=	=	PUNCT
cana-356	739	13	=	=	SYM
cana-356	739	14			X
cana-356	739	15	(	(	PUNCT
cana-356	739	16	3.10	3.10	NUM
cana-356	739	17	)	)	PUNCT
cana-356	739	18	where	where	SCONJ
cana-356	739	19	(	(	PUNCT
cana-356	739	20	)	)	PUNCT
cana-356	739	21	in	in	ADP
cana-356	739	22	v	v	NUM
cana-356	739	23	be	be	AUX
cana-356	739	24	the	the	DET
cana-356	739	25	neighbourhood	neighbourhood	NOUN
cana-356	739	26	vertices	vertex	NOUN
cana-356	739	27	of	of	ADP
cana-356	739	28	iv	iv	NUM
cana-356	739	29	for	for	ADP
cana-356	739	30	all	all	DET
cana-356	739	31	1i	1i	NOUN
cana-356	739	32	=	=	PUNCT
cana-356	739	33	to	to	ADP
cana-356	739	34	1n+	1n+	NUM
cana-356	739	35	and	and	CCONJ
cana-356	739	36	(	(	PUNCT
cana-356	739	37	)	)	PUNCT
cana-356	739	38	iwt	iwt	PROPN
cana-356	739	39	v	v	AUX
cana-356	739	40	be	be	AUX
cana-356	739	41	the	the	DET
cana-356	739	42	weight	weight	NOUN
cana-356	739	43	of	of	ADP
cana-356	739	44	iv	iv	NUM
cana-356	739	45	.	.	PUNCT
cana-356	740	1	from	from	ADP
cana-356	740	2	equation	equation	NOUN
cana-356	740	3	(	(	PUNCT
cana-356	740	4	3.4	3.4	NUM
cana-356	740	5	)	)	PUNCT
cana-356	740	6	,	,	PUNCT
cana-356	740	7	(	(	PUNCT
cana-356	740	8	3.5	3.5	NUM
cana-356	740	9	)	)	PUNCT
cana-356	740	10	(	(	PUNCT
cana-356	740	11	3.6	3.6	NUM
cana-356	740	12	)	)	PUNCT
cana-356	740	13	,	,	PUNCT
cana-356	740	14	(	(	PUNCT
cana-356	740	15	3.7	3.7	NUM
cana-356	740	16	)	)	PUNCT
cana-356	740	17	,	,	PUNCT
cana-356	740	18	(	(	PUNCT
cana-356	740	19	3.8	3.8	NUM
cana-356	740	20	)	)	PUNCT
cana-356	740	21	,	,	PUNCT
cana-356	740	22	(	(	PUNCT
cana-356	740	23	3.9	3.9	NUM
cana-356	740	24	)	)	PUNCT
cana-356	740	25	and	and	CCONJ
cana-356	740	26	(	(	PUNCT
cana-356	740	27	3.10	3.10	NUM
cana-356	740	28	)	)	PUNCT
cana-356	740	29	for	for	ADP
cana-356	740	30	any	any	DET
cana-356	740	31	two	two	NUM
cana-356	740	32	vertices	vertex	NOUN
cana-356	740	33	pv	pv	ADV
cana-356	740	34	and	and	CCONJ
cana-356	740	35	qv	qv	X
cana-356	740	36	with	with	ADP
cana-356	740	37	p	p	PROPN
cana-356	740	38	q	q	PROPN
cana-356	740	39	,	,	PUNCT
cana-356	740	40	(	(	PUNCT
cana-356	740	41	)	)	PUNCT
cana-356	740	42	pwt	pwt	PROPN
cana-356	740	43	v	v	NOUN
cana-356	740	44	and	and	CCONJ
cana-356	740	45	(	(	PUNCT
cana-356	740	46	)	)	PUNCT
cana-356	740	47	qwt	qwt	NOUN
cana-356	740	48	v	v	NOUN
cana-356	740	49	have	have	VERB
cana-356	740	50	distinct	distinct	ADJ
cana-356	740	51	values	value	NOUN
cana-356	740	52	.	.	PUNCT
cana-356	741	1	thus	thus	ADV
cana-356	741	2	,	,	PUNCT
cana-356	741	3	a	a	DET
cana-356	741	4	star	star	NOUN
cana-356	741	5	graph	graph	NOUN
cana-356	741	6	1	1	NUM
cana-356	741	7	,	,	PUNCT
cana-356	741	8	3ns	3ns	PROPN
cana-356	741	9	n	n	PROPN
cana-356	741	10			PROPN
cana-356	741	11	admits	admit	VERB
cana-356	741	12	m	m	NOUN
cana-356	741	13	-	-	ADJ
cana-356	741	14	fvam	fvam	ADJ
cana-356	741	15	labeling	labeling	NOUN
cana-356	741	16	.	.	PUNCT
cana-356	742	1	communications	communication	NOUN
cana-356	742	2	on	on	ADP
cana-356	742	3	applied	apply	VERB
cana-356	742	4	nonlinear	nonlinear	ADJ
cana-356	742	5	analysis	analysis	NOUN
cana-356	742	6	issn	issn	NOUN
cana-356	742	7	:	:	PUNCT
cana-356	742	8	1074	1074	NUM
cana-356	742	9	-	-	PUNCT
cana-356	742	10	133x	133x	NUM
cana-356	742	11	vol	vol	NOUN
cana-356	742	12	31	31	NUM
cana-356	742	13	no	no	NOUN
cana-356	742	14	.	.	NOUN
cana-356	742	15	1	1	NUM
cana-356	742	16	(	(	PUNCT
cana-356	742	17	2024	2024	NUM
cana-356	742	18	)	)	PUNCT
cana-356	743	1	130	130	NUM
cana-356	743	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	743	3	example	example	NOUN
cana-356	743	4	3.3	3.3	NUM
cana-356	743	5	.	.	PUNCT
cana-356	744	1	fig	fig	NOUN
cana-356	744	2	.	.	PUNCT
cana-356	745	1	3	3	X
cana-356	745	2	.	.	X
cana-356	745	3	1,300s	1,300s	NUM
cana-356	745	4	m	m	NOUN
cana-356	745	5	-	-	NOUN
cana-356	745	6	feam	feam	NOUN
cana-356	745	7	and	and	CCONJ
cana-356	745	8	m	m	NOUN
cana-356	745	9	-	-	ADJ
cana-356	745	10	fvam	fvam	NOUN
cana-356	745	11	star	star	NOUN
cana-356	745	12	graph	graph	NOUN
cana-356	745	13	4	4	NUM
cana-356	745	14	.	.	PUNCT
cana-356	746	1	m	m	ADJ
cana-356	746	2	-	-	PUNCT
cana-356	746	3	fuzzy	fuzzy	ADJ
cana-356	746	4	bi	bi	ADJ
cana-356	746	5	-	-	ADJ
cana-356	746	6	magic	magic	ADJ
cana-356	746	7	graph	graph	NOUN
cana-356	746	8	definition	definition	NOUN
cana-356	746	9	4.1	4.1	NUM
cana-356	746	10	:	:	PUNCT
cana-356	746	11	a	a	DET
cana-356	746	12	m	m	NOUN
cana-356	746	13	-	-	PUNCT
cana-356	746	14	flg	flg	PROPN
cana-356	746	15	is	be	AUX
cana-356	746	16	said	say	VERB
cana-356	746	17	to	to	PART
cana-356	746	18	be	be	AUX
cana-356	746	19	a	a	DET
cana-356	746	20	m	m	NOUN
cana-356	746	21	-	-	PUNCT
cana-356	746	22	febm	febm	NOUN
cana-356	746	23	graph	graph	NOUN
cana-356	746	24	if	if	SCONJ
cana-356	746	25	1	1	NUM
cana-356	746	26	1	1	NUM
cana-356	746	27	1	1	NUM
cana-356	746	28	(	(	PUNCT
cana-356	746	29	)	)	PUNCT
cana-356	746	30	(	(	PUNCT
cana-356	746	31	,	,	PUNCT
cana-356	746	32	)	)	PUNCT
cana-356	746	33	(	(	PUNCT
cana-356	746	34	)	)	PUNCT
cana-356	746	35	u	u	NOUN
cana-356	746	36	u	u	NOUN
cana-356	746	37	v	v	X
cana-356	746	38	v	v	NUM
cana-356	746	39			ADP
cana-356	746	40	+	+	NUM
cana-356	746	41	+	+	CCONJ
cana-356	746	42	have	have	VERB
cana-356	746	43	either	either	CCONJ
cana-356	746	44	1k	1k	NUM
cana-356	746	45	or	or	CCONJ
cana-356	746	46	2k	2k	NUM
cana-356	746	47	where	where	SCONJ
cana-356	746	48	1k	1k	NUM
cana-356	746	49	and	and	CCONJ
cana-356	746	50	2k	2k	NOUN
cana-356	746	51	are	be	AUX
cana-356	746	52	constants	constant	NOUN
cana-356	746	53	.	.	PUNCT
cana-356	747	1	m	m	ADJ
cana-356	747	2	-	-	ADJ
cana-356	747	3	fuzzy	fuzzy	ADJ
cana-356	747	4	labeled	label	VERB
cana-356	747	5	star	star	NOUN
cana-356	747	6	1,ns	1,ns	NOUN
cana-356	747	7	:	:	PUNCT
cana-356	748	1	_	_	PUNCT
cana-356	749	1	_	_	PUNCT
cana-356	750	1	_	_	PUNCT
cana-356	751	1	_	_	PUNCT
cana-356	752	1	_	_	PUNCT
cana-356	753	1	_	_	PUNCT
cana-356	754	1	_	_	PUNCT
cana-356	755	1	_	_	PUNCT
cana-356	756	1	_	_	PUNCT
cana-356	757	1	_	_	PUNCT
cana-356	758	1	_	_	PUNCT
cana-356	759	1	_	_	PUNCT
cana-356	760	1	_	_	PUNCT
cana-356	761	1	_	_	PUNCT
cana-356	762	1	_	_	PUNCT
cana-356	763	1	_	_	PUNCT
cana-356	764	1	_	_	PUNCT
cana-356	765	1	_	_	PUNCT
cana-356	766	1	_	_	PUNCT
cana-356	767	1	_	_	PUNCT
cana-356	768	1	_	_	PUNCT
cana-356	769	1	_	_	PUNCT
cana-356	770	1	_	_	PUNCT
cana-356	771	1	_	_	PUNCT
cana-356	772	1	_	_	PUNCT
cana-356	773	1	_	_	PUNCT
cana-356	774	1	_	_	PUNCT
cana-356	775	1	_	_	PUNCT
cana-356	776	1	_	_	PUNCT
cana-356	777	1	_	_	PUNCT
cana-356	778	1	_	_	PUNCT
cana-356	779	1	_	_	PUNCT
cana-356	780	1	_	_	PUNCT
cana-356	781	1	_	_	PUNCT
cana-356	782	1	_	_	PUNCT
cana-356	783	1	_	_	PUNCT
cana-356	784	1	_	_	PUNCT
cana-356	785	1	_	_	PUNCT
cana-356	786	1	_	_	PUNCT
cana-356	787	1	_	_	PUNCT
cana-356	788	1	_	_	PUNCT
cana-356	789	1	_	_	PUNCT
cana-356	790	1	_	_	PUNCT
cana-356	791	1	_	_	PUNCT
cana-356	792	1	_	_	PUNCT
cana-356	793	1	_	_	PUNCT
cana-356	794	1	_	_	PUNCT
cana-356	795	1	_	_	PUNCT
cana-356	796	1	_	_	PUNCT
cana-356	797	1	_	_	PUNCT
cana-356	798	1	_	_	PUNCT
cana-356	799	1	_	_	PUNCT
cana-356	800	1	_	_	PUNCT
cana-356	801	1	_	_	PUNCT
cana-356	802	1	_	_	PUNCT
cana-356	803	1	_	_	PUNCT
cana-356	804	1	_	_	PUNCT
cana-356	805	1	_	_	PUNCT
cana-356	806	1	_	_	PUNCT
cana-356	807	1	_	_	PUNCT
cana-356	808	1	_	_	PUNCT
cana-356	809	1	_	_	PUNCT
cana-356	810	1	_	_	PUNCT
cana-356	811	1	_	_	PUNCT
cana-356	812	1	_	_	PUNCT
cana-356	813	1	_	_	PUNCT
cana-356	814	1	_	_	PUNCT
cana-356	815	1	_	_	PUNCT
cana-356	816	1	_	_	PUNCT
cana-356	817	1	_	_	PUNCT
cana-356	818	1	_	_	PUNCT
cana-356	819	1	_	_	PUNCT
cana-356	820	1	_	_	PUNCT
cana-356	821	1	_	_	PUNCT
cana-356	822	1	_	_	PUNCT
cana-356	823	1	_	_	PUNCT
cana-356	824	1	_	_	PUNCT
cana-356	825	1	_	_	PUNCT
cana-356	826	1	_	_	PUNCT
cana-356	827	1	_	_	PUNCT
cana-356	828	1	_	_	PUNCT
cana-356	828	2	algorithm	algorithm	NOUN
cana-356	828	3	3	3	NUM
cana-356	828	4	m	m	NOUN
cana-356	828	5	-	-	ADJ
cana-356	828	6	fuzzy	fuzzy	ADJ
cana-356	828	7	labeling	labeling	NOUN
cana-356	828	8	of	of	ADP
cana-356	828	9	edges	edge	NOUN
cana-356	828	10	and	and	CCONJ
cana-356	828	11	vertices	vertex	NOUN
cana-356	828	12	of	of	ADP
cana-356	828	13	1,ns	1,ns	NOUN
cana-356	828	14	with	with	ADP
cana-356	828	15	4n	4n	NUM
cana-356	828	16	,	,	PUNCT
cana-356	828	17	n	n	X
cana-356	828	18	is	be	AUX
cana-356	828	19	the	the	DET
cana-356	828	20	no	no	NOUN
cana-356	828	21	.	.	PUNCT
cana-356	828	22	of	of	ADP
cana-356	828	23	pendent	pendent	NOUN
cana-356	828	24	edges	edge	NOUN
cana-356	828	25	and	and	CCONJ
cana-356	828	26	(	(	PUNCT
cana-356	828	27	0,1]z	0,1]z	NOUN
cana-356	828	28	1	1	X
cana-356	828	29	.	.	PUNCT
cana-356	828	30	input	input	NOUN
cana-356	828	31	:	:	PUNCT
cana-356	828	32	enter	enter	VERB
cana-356	828	33	values	value	NOUN
cana-356	828	34	for	for	ADP
cana-356	828	35	n	n	NOUN
cana-356	828	36	and	and	CCONJ
cana-356	828	37	z	z	NOUN
cana-356	828	38	.	.	PUNCT
cana-356	829	1	2	2	X
cana-356	829	2	.	.	X
cana-356	829	3	maximum	maximum	ADJ
cana-356	829	4	number	number	NOUN
cana-356	829	5	of	of	ADP
cana-356	829	6	vertices	vertex	NOUN
cana-356	829	7	are	be	AUX
cana-356	829	8	1n+	1n+	NUM
cana-356	829	9	.	.	PUNCT
cana-356	830	1	3	3	X
cana-356	830	2	.	.	X
cana-356	830	3	vertex	vertex	NOUN
cana-356	830	4	labeling	labeling	NOUN
cana-356	830	5	be	be	VERB
cana-356	830	6	,	,	PUNCT
cana-356	830	7	for	for	ADP
cana-356	830	8	1i	1i	NOUN
cana-356	830	9	=	=	SYM
cana-356	830	10	to	to	ADP
cana-356	830	11	1n+	1n+	NUM
cana-356	830	12	{	{	PUNCT
cana-356	830	13	if	if	SCONJ
cana-356	830	14	1i	1i	NUM
cana-356	830	15	=	=	SYM
cana-356	830	16	or	or	CCONJ
cana-356	830	17	2i	2i	NUM
cana-356	830	18	=	=	SYM
cana-356	830	19	or	or	CCONJ
cana-356	830	20	3i	3i	NOUN
cana-356	830	21	=	=	SYM
cana-356	830	22	1	1	NUM
cana-356	830	23	(	(	PUNCT
cana-356	830	24	)	)	PUNCT
cana-356	830	25	(	(	PUNCT
cana-356	830	26	2	2	NUM
cana-356	830	27	2	2	NUM
cana-356	830	28	)	)	PUNCT
cana-356	830	29	iv	iv	X
cana-356	831	1	n	n	NUM
cana-356	831	2	i	i	PRON
cana-356	831	3	z	z	NUM
cana-356	831	4	=	=	PUNCT
cana-356	832	1	+	+	CCONJ
cana-356	832	2	−	−	NOUN
cana-356	832	3	if	if	SCONJ
cana-356	832	4	4	4	NUM
cana-356	832	5	i	i	PRON
cana-356	832	6	n	n	VERB
cana-356	832	7			NOUN
cana-356	832	8	1	1	NUM
cana-356	832	9	(	(	PUNCT
cana-356	832	10	)	)	PUNCT
cana-356	832	11	(	(	PUNCT
cana-356	832	12	2	2	NUM
cana-356	832	13	1	1	NUM
cana-356	832	14	)	)	PUNCT
cana-356	832	15	iv	iv	X
cana-356	833	1	n	n	NUM
cana-356	833	2	i	i	PRON
cana-356	833	3	z	z	NUM
cana-356	833	4	=	=	PUNCT
cana-356	834	1	+	+	CCONJ
cana-356	834	2	−	−	NOUN
cana-356	834	3	}	}	PUNCT
cana-356	834	4	if	if	SCONJ
cana-356	834	5	4n	4n	NOUN
cana-356	834	6	1	1	NUM
cana-356	834	7	(	(	PUNCT
cana-356	834	8	)	)	PUNCT
cana-356	834	9	(	(	PUNCT
cana-356	834	10	2	2	NUM
cana-356	834	11	2)d	2)d	NUM
cana-356	834	12	n	n	NOUN
cana-356	834	13	z	z	NUM
cana-356	834	14	=	=	SYM
cana-356	835	1	−	−	PROPN
cana-356	835	2	4	4	X
cana-356	835	3	.	.	X
cana-356	835	4	edge	edge	NOUN
cana-356	835	5	labeling	labeling	NOUN
cana-356	835	6	be	be	AUX
cana-356	835	7	,	,	PUNCT
cana-356	835	8	for	for	ADP
cana-356	835	9	1i	1i	NOUN
cana-356	835	10	=	=	SYM
cana-356	835	11	to	to	ADP
cana-356	835	12	1n+	1n+	NUM
cana-356	835	13	communications	communication	NOUN
cana-356	835	14	on	on	ADP
cana-356	835	15	applied	apply	VERB
cana-356	835	16	nonlinear	nonlinear	ADJ
cana-356	835	17	analysis	analysis	NOUN
cana-356	835	18	issn	issn	NOUN
cana-356	835	19	:	:	PUNCT
cana-356	835	20	1074	1074	NUM
cana-356	835	21	-	-	PUNCT
cana-356	835	22	133x	133x	NUM
cana-356	835	23	vol	vol	NOUN
cana-356	835	24	31	31	NUM
cana-356	835	25	no	no	NOUN
cana-356	835	26	.	.	NOUN
cana-356	835	27	1	1	NUM
cana-356	835	28	(	(	PUNCT
cana-356	835	29	2024	2024	NUM
cana-356	835	30	)	)	PUNCT
cana-356	835	31	131	131	NUM
cana-356	835	32	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	835	33	{	{	PUNCT
cana-356	835	34	if	if	SCONJ
cana-356	835	35	1i	1i	NOUN
cana-356	835	36	=	=	SYM
cana-356	835	37			NOUN
cana-356	835	38			PROPN
cana-356	835	39			NOUN
cana-356	835	40	1	1	NOUN
cana-356	835	41	1	1	NUM
cana-356	835	42	1	1	NUM
cana-356	835	43	1	1	NUM
cana-356	835	44	1	1	NUM
cana-356	835	45	(	(	PUNCT
cana-356	835	46	,	,	PUNCT
cana-356	835	47	)	)	PUNCT
cana-356	835	48	max	max	PROPN
cana-356	835	49	(	(	PUNCT
cana-356	835	50	)	)	PUNCT
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cana-356	835	53	)	)	PUNCT
cana-356	835	54	min	min	NOUN
cana-356	835	55	(	(	PUNCT
cana-356	835	56	)	)	PUNCT
cana-356	835	57	,	,	PUNCT
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cana-356	835	59	)	)	PUNCT
cana-356	835	60	2i	2i	NOUN
cana-356	836	1	i	i	PRON
cana-356	836	2	i	i	PROPN
cana-356	836	3	d	d	PROPN
cana-356	836	4	v	v	PROPN
cana-356	836	5	d	d	X
cana-356	836	6	v	v	NOUN
cana-356	836	7	d	d	X
cana-356	836	8	v	v	ADP
cana-356	836	9	z	z	NUM
cana-356	836	10			NOUN
cana-356	836	11			NOUN
cana-356	836	12			NOUN
cana-356	836	13	=	=	NOUN
cana-356	836	14	−	−	PROPN
cana-356	837	1	−	−	PROPN
cana-356	838	1	if	if	SCONJ
cana-356	838	2	2i	2i	NUM
cana-356	838	3	=	=	SYM
cana-356	839	1			NOUN
cana-356	839	2			PROPN
cana-356	839	3			NOUN
cana-356	839	4	1	1	NOUN
cana-356	839	5	1	1	NUM
cana-356	839	6	1	1	NUM
cana-356	839	7	1	1	NUM
cana-356	839	8	1	1	NUM
cana-356	839	9	(	(	PUNCT
cana-356	839	10	,	,	PUNCT
cana-356	839	11	)	)	PUNCT
cana-356	839	12	max	max	PROPN
cana-356	839	13	(	(	PUNCT
cana-356	839	14	)	)	PUNCT
cana-356	839	15	,	,	PUNCT
cana-356	839	16	(	(	PUNCT
cana-356	839	17	)	)	PUNCT
cana-356	839	18	min	min	NOUN
cana-356	839	19	(	(	PUNCT
cana-356	839	20	)	)	PUNCT
cana-356	839	21	,	,	PUNCT
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cana-356	839	23	)	)	PUNCT
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cana-356	841	1	i	i	PROPN
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cana-356	841	4	d	d	PROPN
cana-356	841	5	v	v	NOUN
cana-356	841	6	d	d	X
cana-356	841	7	v	v	NOUN
cana-356	841	8			NOUN
cana-356	841	9			NOUN
cana-356	841	10			NOUN
cana-356	841	11	=	=	NOUN
cana-356	841	12	−	−	PROPN
cana-356	842	1	if	if	SCONJ
cana-356	842	2	3i	3i	NOUN
cana-356	842	3	=	=	PUNCT
cana-356	842	4			NOUN
cana-356	842	5			PROPN
cana-356	842	6			NOUN
cana-356	842	7	1	1	NOUN
cana-356	842	8	1	1	NUM
cana-356	842	9	1	1	NUM
cana-356	842	10	1	1	NUM
cana-356	842	11	1	1	NUM
cana-356	842	12	(	(	PUNCT
cana-356	842	13	,	,	PUNCT
cana-356	842	14	)	)	PUNCT
cana-356	842	15	max	max	PROPN
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cana-356	842	17	)	)	PUNCT
cana-356	842	18	,	,	PUNCT
cana-356	842	19	(	(	PUNCT
cana-356	842	20	)	)	PUNCT
cana-356	842	21	min	min	NOUN
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cana-356	842	23	)	)	PUNCT
cana-356	842	24	,	,	PUNCT
cana-356	842	25	(	(	PUNCT
cana-356	842	26	)	)	PUNCT
cana-356	842	27	2i	2i	NOUN
cana-356	842	28	i	i	PRON
cana-356	842	29	i	i	PROPN
cana-356	843	1	d	d	PROPN
cana-356	843	2	v	v	PROPN
cana-356	843	3	d	d	X
cana-356	843	4	v	v	NOUN
cana-356	843	5	d	d	X
cana-356	843	6	v	v	ADP
cana-356	843	7	z	z	NUM
cana-356	843	8			NOUN
cana-356	843	9			NOUN
cana-356	843	10			NOUN
cana-356	843	11	=	=	NOUN
cana-356	843	12	−	−	PROPN
cana-356	844	1	+	+	CCONJ
cana-356	844	2	if	if	SCONJ
cana-356	844	3	4	4	NUM
cana-356	844	4	i	i	PRON
cana-356	844	5	n	n	VERB
cana-356	844	6			NUM
cana-356	844	7			PROPN
cana-356	845	1			PROPN
cana-356	845	2			NOUN
cana-356	845	3	1	1	NOUN
cana-356	845	4	1	1	NUM
cana-356	845	5	1	1	NUM
cana-356	845	6	1	1	NUM
cana-356	845	7	1	1	NUM
cana-356	845	8	(	(	PUNCT
cana-356	845	9	,	,	PUNCT
cana-356	845	10	)	)	PUNCT
cana-356	845	11	max	max	PROPN
cana-356	845	12	(	(	PUNCT
cana-356	845	13	)	)	PUNCT
cana-356	845	14	,	,	PUNCT
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cana-356	845	16	)	)	PUNCT
cana-356	845	17	min	min	NOUN
cana-356	845	18	(	(	PUNCT
cana-356	845	19	)	)	PUNCT
cana-356	845	20	,	,	PUNCT
cana-356	845	21	(	(	PUNCT
cana-356	845	22	)	)	PUNCT
cana-356	845	23	3i	3i	NOUN
cana-356	845	24	i	i	PRON
cana-356	846	1	i	i	PROPN
cana-356	847	1	d	d	PROPN
cana-356	847	2	v	v	PROPN
cana-356	847	3	d	d	X
cana-356	847	4	v	v	NOUN
cana-356	847	5	d	d	X
cana-356	847	6	v	v	ADP
cana-356	847	7	z	z	NUM
cana-356	847	8			NOUN
cana-356	847	9			NOUN
cana-356	847	10			NOUN
cana-356	847	11	=	=	NOUN
cana-356	847	12	−	−	PROPN
cana-356	848	1	+	+	CCONJ
cana-356	848	2	}	}	SYM
cana-356	848	3	5	5	X
cana-356	848	4	.	.	X
cana-356	848	5	output	output	NOUN
cana-356	848	6	:	:	PUNCT
cana-356	848	7	print	print	VERB
cana-356	848	8	the	the	DET
cana-356	848	9	values	value	NOUN
cana-356	848	10	of	of	ADP
cana-356	848	11	vertices	vertex	NOUN
cana-356	848	12	and	and	CCONJ
cana-356	848	13	edges	edge	NOUN
cana-356	848	14	.	.	PUNCT
cana-356	849	1	_	_	PUNCT
cana-356	850	1	_	_	PUNCT
cana-356	851	1	_	_	PUNCT
cana-356	852	1	_	_	PUNCT
cana-356	853	1	_	_	PUNCT
cana-356	854	1	_	_	PUNCT
cana-356	855	1	_	_	PUNCT
cana-356	856	1	_	_	PUNCT
cana-356	857	1	_	_	PUNCT
cana-356	858	1	_	_	PUNCT
cana-356	859	1	_	_	PUNCT
cana-356	860	1	_	_	PUNCT
cana-356	861	1	_	_	PUNCT
cana-356	862	1	_	_	PUNCT
cana-356	863	1	_	_	PUNCT
cana-356	864	1	_	_	PUNCT
cana-356	865	1	_	_	PUNCT
cana-356	866	1	_	_	PUNCT
cana-356	867	1	_	_	PUNCT
cana-356	868	1	_	_	PUNCT
cana-356	869	1	_	_	PUNCT
cana-356	870	1	_	_	PUNCT
cana-356	871	1	_	_	PUNCT
cana-356	872	1	_	_	PUNCT
cana-356	873	1	_	_	PUNCT
cana-356	874	1	_	_	PUNCT
cana-356	875	1	_	_	PUNCT
cana-356	876	1	_	_	PUNCT
cana-356	877	1	_	_	PUNCT
cana-356	878	1	_	_	PUNCT
cana-356	879	1	_	_	PUNCT
cana-356	880	1	_	_	PUNCT
cana-356	881	1	_	_	PUNCT
cana-356	882	1	_	_	PUNCT
cana-356	883	1	_	_	PUNCT
cana-356	884	1	_	_	PUNCT
cana-356	885	1	_	_	PUNCT
cana-356	886	1	_	_	PUNCT
cana-356	887	1	_	_	PUNCT
cana-356	888	1	_	_	PUNCT
cana-356	889	1	_	_	PUNCT
cana-356	890	1	_	_	PUNCT
cana-356	891	1	_	_	PUNCT
cana-356	892	1	_	_	PUNCT
cana-356	893	1	_	_	PUNCT
cana-356	894	1	_	_	PUNCT
cana-356	895	1	_	_	PUNCT
cana-356	896	1	_	_	PUNCT
cana-356	897	1	_	_	PUNCT
cana-356	898	1	_	_	PUNCT
cana-356	899	1	_	_	PUNCT
cana-356	900	1	_	_	PUNCT
cana-356	901	1	_	_	PUNCT
cana-356	902	1	_	_	PUNCT
cana-356	903	1	_	_	PUNCT
cana-356	904	1	_	_	PUNCT
cana-356	905	1	_	_	PUNCT
cana-356	906	1	_	_	PUNCT
cana-356	907	1	_	_	PUNCT
cana-356	908	1	_	_	PUNCT
cana-356	909	1	_	_	PUNCT
cana-356	910	1	_	_	PUNCT
cana-356	911	1	_	_	PUNCT
cana-356	912	1	_	_	PUNCT
cana-356	913	1	_	_	PUNCT
cana-356	914	1	_	_	PUNCT
cana-356	915	1	_	_	PUNCT
cana-356	916	1	_	_	PUNCT
cana-356	917	1	_	_	PUNCT
cana-356	918	1	_	_	PUNCT
cana-356	919	1	_	_	PUNCT
cana-356	920	1	_	_	PUNCT
cana-356	921	1	_	_	PUNCT
cana-356	922	1	_	_	PUNCT
cana-356	923	1	_	_	PUNCT
cana-356	924	1	_	_	PUNCT
cana-356	925	1	_	_	PUNCT
cana-356	926	1	_	_	PUNCT
cana-356	927	1	_	_	PUNCT
cana-356	928	1	_	_	PUNCT
cana-356	929	1	_	_	PUNCT
cana-356	929	2	theorem	theorem	VERB
cana-356	929	3	4.1	4.1	NUM
cana-356	929	4	.	.	PUNCT
cana-356	930	1	let	let	VERB
cana-356	930	2	1	1	NUM
cana-356	930	3	,	,	PUNCT
cana-356	930	4	1	1	NUM
cana-356	930	5	1	1	NUM
cana-356	930	6	(	(	PUNCT
cana-356	930	7	,	,	PUNCT
cana-356	930	8	)	)	PUNCT
cana-356	930	9	ns	ns	NUM
cana-356	930	10			NOUN
cana-356	930	11			NOUN
cana-356	930	12	be	be	AUX
cana-356	930	13	the	the	DET
cana-356	930	14	m	m	ADJ
cana-356	930	15	-	-	ADJ
cana-356	930	16	fuzzy	fuzzy	ADJ
cana-356	930	17	labeled	label	VERB
cana-356	930	18	star	star	NOUN
cana-356	930	19	graph	graph	NOUN
cana-356	930	20	for	for	ADP
cana-356	930	21	all	all	DET
cana-356	930	22	4n	4n	NUM
cana-356	930	23	.	.	PUNCT
cana-356	931	1	then	then	ADV
cana-356	931	2	1,ns	1,ns	NOUN
cana-356	931	3	is	be	AUX
cana-356	931	4	a	a	DET
cana-356	931	5	m	m	NOUN
cana-356	931	6	-	-	PUNCT
cana-356	931	7	fbml	fbml	ADJ
cana-356	931	8	.	.	PUNCT
cana-356	932	1	proof	proof	NOUN
cana-356	932	2	.	.	PUNCT
cana-356	933	1	let	let	VERB
cana-356	933	2	(	(	PUNCT
cana-356	933	3	0,1]z	0,1]z	NOUN
cana-356	933	4	→	→	PUNCT
cana-356	933	5	such	such	ADJ
cana-356	933	6	that	that	SCONJ
cana-356	933	7	2	2	NUM
cana-356	933	8	2	2	NUM
cana-356	933	9	1	1	NUM
cana-356	933	10	1	1	NUM
cana-356	933	11	3	3	NUM
cana-356	933	12	1	1	NUM
cana-356	933	13	1	1	NUM
cana-356	933	14	1	1	NUM
cana-356	933	15	1	1	NUM
cana-356	933	16	1	1	NUM
cana-356	933	17	1	1	NUM
cana-356	933	18	,	,	PUNCT
cana-356	933	19	1	1	NUM
cana-356	933	20	49	49	NUM
cana-356	933	21	10	10	NUM
cana-356	933	22	1	1	NUM
cana-356	933	23	,	,	PUNCT
cana-356	933	24	49	49	NUM
cana-356	933	25	49	49	NUM
cana-356	933	26	(	(	PUNCT
cana-356	933	27	45	45	NUM
cana-356	933	28	10	10	NUM
cana-356	933	29	)	)	PUNCT
cana-356	933	30	,	,	PUNCT
cana-356	933	31	1	1	NUM
cana-356	933	32	10	10	NUM
cana-356	933	33	1	1	NUM
cana-356	933	34	,	,	PUNCT
cana-356	933	35	49	49	NUM
cana-356	933	36	(	(	PUNCT
cana-356	933	37	45	45	NUM
cana-356	933	38	10	10	NUM
cana-356	933	39	)	)	PUNCT
cana-356	933	40	49	49	NUM
cana-356	933	41	(	(	PUNCT
cana-356	933	42	45	45	NUM
cana-356	933	43	10	10	NUM
cana-356	933	44	)	)	PUNCT
cana-356	933	45	,	,	PUNCT
cana-356	933	46	1,2,3	1,2,3	NUM
cana-356	933	47	,	,	PUNCT
cana-356	933	48	10	10	NUM
cana-356	934	1	i	i	PRON
cana-356	934	2	t	t	PROPN
cana-356	935	1	k	k	PROPN
cana-356	935	2	t	t	PROPN
cana-356	936	1	i	i	PRON
cana-356	936	2	k	k	INTJ
cana-356	937	1	i	i	PRON
cana-356	938	1	i	i	PRON
cana-356	939	1	t	t	X
cana-356	940	1	t	t	PROPN
cana-356	941	1	k	k	PROPN
cana-356	941	2	t	t	PROPN
cana-356	941	3	t	t	PROPN
cana-356	942	1	i	i	PRON
cana-356	942	2	k	k	INTJ
cana-356	943	1	i	i	PRON
cana-356	943	2	k	k	PROPN
cana-356	943	3	n	n	PROPN
cana-356	943	4	z	z	NOUN
cana-356	943	5	n	n	PROPN
cana-356	943	6	where	where	SCONJ
cana-356	943	7	k	k	PROPN
cana-356	943	8	n	n	ADV
cana-356	943	9	where	where	SCONJ
cana-356	943	10	k	k	PROPN
cana-356	943	11	+	+	PROPN
cana-356	943	12	=	=	NOUN
cana-356	943	13			NOUN
cana-356	943	14			NOUN
cana-356	943	15	+	+	PUNCT
cana-356	943	16	=	=	SYM
cana-356	943	17	=	=	SYM
cana-356	943	18			NOUN
cana-356	943	19			NOUN
cana-356	943	20			NOUN
cana-356	943	21			NOUN
cana-356	943	22	+	+	CCONJ
cana-356	943	23			ADP
cana-356	943	24			DET
cana-356	943	25			NUM
cana-356	943	26			PROPN
cana-356	943	27			NOUN
cana-356	944	1			NUM
cana-356	944	2			NUM
cana-356	944	3			NUM
cana-356	944	4	=	=	PROPN
cana-356	944	5			PROPN
cana-356	944	6			NOUN
cana-356	944	7	+	+	CCONJ
cana-356	944	8			X
cana-356	944	9	=	=	NOUN
cana-356	944	10			NUM
cana-356	944	11			NUM
cana-356	944	12			NUM
cana-356	944	13			NUM
cana-356	944	14	+	+	CCONJ
cana-356	944	15			PROPN
cana-356	944	16			PROPN
cana-356	944	17			PROPN
cana-356	944	18	+	+	CCONJ
cana-356	944	19			NOUN
cana-356	944	20	=	=	NOUN
cana-356	944	21			NUM
cana-356	944	22			PROPN
cana-356	944	23			X
cana-356	944	24			X
cana-356	944	25			X
cana-356	944	26	the	the	DET
cana-356	944	27	vertex	vertex	NOUN
cana-356	944	28	membership	membership	NOUN
cana-356	944	29	values	value	NOUN
cana-356	944	30	and	and	CCONJ
cana-356	944	31	edge	edge	NOUN
cana-356	944	32	membership	membership	NOUN
cana-356	944	33	values	value	NOUN
cana-356	944	34	are	be	AUX
cana-356	944	35	defined	define	VERB
cana-356	944	36	using	use	VERB
cana-356	944	37	algorithm	algorithm	NOUN
cana-356	944	38	3	3	NUM
cana-356	944	39	.	.	NOUN
cana-356	944	40	1	1	NUM
cana-356	944	41	:	:	PUNCT
cana-356	945	1	[	[	X
cana-356	945	2	0,1]v	0,1]v	X
cana-356	945	3	→	→	PUNCT
cana-356	945	4	such	such	ADJ
cana-356	945	5	that	that	SCONJ
cana-356	945	6	1	1	NUM
cana-356	945	7	(	(	PUNCT
cana-356	945	8	)	)	PUNCT
cana-356	945	9	(	(	PUNCT
cana-356	945	10	2	2	NUM
cana-356	945	11	2	2	NUM
cana-356	945	12	)	)	PUNCT
cana-356	945	13	,	,	PUNCT
cana-356	945	14	1	1	NUM
cana-356	945	15	,	,	PUNCT
cana-356	945	16	2,3iv	2,3iv	NUM
cana-356	945	17	n	n	NOUN
cana-356	945	18	i	i	PROPN
cana-356	945	19	z	z	PROPN
cana-356	945	20	i	i	NUM
cana-356	945	21	=	=	PUNCT
cana-356	945	22	+	+	NUM
cana-356	945	23	−	−	NOUN
cana-356	945	24	=	=	SYM
cana-356	945	25	1	1	NUM
cana-356	945	26	(	(	PUNCT
cana-356	945	27	)	)	PUNCT
cana-356	945	28	(	(	PUNCT
cana-356	945	29	2	2	NUM
cana-356	945	30	1	1	NUM
cana-356	945	31	)	)	PUNCT
cana-356	945	32	,	,	PUNCT
cana-356	946	1	4iv	4iv	NOUN
cana-356	946	2	n	n	CCONJ
cana-356	946	3	i	i	PRON
cana-356	946	4	z	z	VERB
cana-356	946	5	i	i	PRON
cana-356	946	6	n	n	X
cana-356	946	7	=	=	NOUN
cana-356	946	8	+	+	NUM
cana-356	946	9	−	−	PROPN
cana-356	946	10			NOUN
cana-356	946	11			NOUN
cana-356	946	12	1	1	NUM
cana-356	946	13	(	(	PUNCT
cana-356	946	14	)	)	PUNCT
cana-356	946	15	(	(	PUNCT
cana-356	946	16	2	2	NUM
cana-356	946	17	2	2	NUM
cana-356	946	18	)	)	PUNCT
cana-356	946	19	,	,	PUNCT
cana-356	946	20	4d	4d	NUM
cana-356	946	21	n	n	PROPN
cana-356	946	22	z	z	NOUN
cana-356	946	23	n	n	PROPN
cana-356	946	24	=	=	SYM
cana-356	946	25	−	−	PROPN
cana-356	946	26			NOUN
cana-356	946	27			NUM
cana-356	946	28	1	1	NUM
cana-356	946	29	:	:	PUNCT
cana-356	947	1	[	[	X
cana-356	947	2	0,1]v	0,1]v	X
cana-356	947	3	v	v	PROPN
cana-356	947	4			PROPN
cana-356	947	5	→	→	PUNCT
cana-356	947	6	such	such	ADJ
cana-356	947	7	that	that	SCONJ
cana-356	947	8			PROPN
cana-356	947	9			PROPN
cana-356	947	10			X
cana-356	947	11	1	1	NOUN
cana-356	947	12	1	1	NUM
cana-356	947	13	1	1	NUM
cana-356	947	14	1	1	NUM
cana-356	947	15	1	1	NUM
cana-356	947	16	(	(	PUNCT
cana-356	947	17	,	,	PUNCT
cana-356	947	18	)	)	PUNCT
cana-356	947	19	max	max	PROPN
cana-356	947	20	(	(	PUNCT
cana-356	947	21	)	)	PUNCT
cana-356	947	22	,	,	PUNCT
cana-356	947	23	(	(	PUNCT
cana-356	947	24	)	)	PUNCT
cana-356	947	25	min	min	NOUN
cana-356	947	26	(	(	PUNCT
cana-356	947	27	)	)	PUNCT
cana-356	947	28	,	,	PUNCT
cana-356	947	29	(	(	PUNCT
cana-356	947	30	)	)	PUNCT
cana-356	947	31	2	2	NUM
cana-356	947	32	,	,	PUNCT
cana-356	947	33	1i	1i	NOUN
cana-356	947	34	i	i	PRON
cana-356	947	35	i	i	PROPN
cana-356	947	36	d	d	PROPN
cana-356	947	37	v	v	PROPN
cana-356	947	38	d	d	X
cana-356	947	39	v	v	PROPN
cana-356	947	40	d	d	X
cana-356	947	41	v	v	NOUN
cana-356	947	42	z	z	NOUN
cana-356	947	43	i	i	VERB
cana-356	947	44			NOUN
cana-356	947	45			NOUN
cana-356	947	46			NOUN
cana-356	947	47	=	=	NOUN
cana-356	947	48	−	−	NOUN
cana-356	947	49	−	−	PROPN
cana-356	947	50	=	=	SYM
cana-356	947	51			PROPN
cana-356	947	52			PROPN
cana-356	947	53			NOUN
cana-356	947	54	1	1	NOUN
cana-356	947	55	1	1	NUM
cana-356	947	56	1	1	NUM
cana-356	947	57	1	1	NUM
cana-356	947	58	1	1	NUM
cana-356	947	59	(	(	PUNCT
cana-356	947	60	,	,	PUNCT
cana-356	947	61	)	)	PUNCT
cana-356	947	62	max	max	PROPN
cana-356	947	63	(	(	PUNCT
cana-356	947	64	)	)	PUNCT
cana-356	947	65	,	,	PUNCT
cana-356	947	66	(	(	PUNCT
cana-356	947	67	)	)	PUNCT
cana-356	947	68	min	min	NOUN
cana-356	947	69	(	(	PUNCT
cana-356	947	70	)	)	PUNCT
cana-356	947	71	,	,	PUNCT
cana-356	947	72	(	(	PUNCT
cana-356	947	73	)	)	PUNCT
cana-356	947	74	,	,	PUNCT
cana-356	947	75	2i	2i	NUM
cana-356	948	1	i	i	PRON
cana-356	948	2	i	i	PROPN
cana-356	948	3	d	d	PROPN
cana-356	948	4	v	v	PROPN
cana-356	948	5	d	d	X
cana-356	948	6	v	v	PROPN
cana-356	948	7	d	d	X
cana-356	948	8	v	v	NOUN
cana-356	948	9	i	i	VERB
cana-356	948	10			NOUN
cana-356	948	11			NOUN
cana-356	948	12			NOUN
cana-356	948	13	=	=	NOUN
cana-356	948	14	−	−	NOUN
cana-356	949	1	=	=	NOUN
cana-356	949	2	communications	communication	NOUN
cana-356	949	3	on	on	ADP
cana-356	949	4	applied	apply	VERB
cana-356	949	5	nonlinear	nonlinear	ADJ
cana-356	949	6	analysis	analysis	NOUN
cana-356	949	7	issn	issn	NOUN
cana-356	949	8	:	:	PUNCT
cana-356	949	9	1074	1074	NUM
cana-356	949	10	-	-	PUNCT
cana-356	949	11	133x	133x	NUM
cana-356	949	12	vol	vol	NOUN
cana-356	949	13	31	31	NUM
cana-356	949	14	no	no	NOUN
cana-356	949	15	.	.	NOUN
cana-356	949	16	1	1	NUM
cana-356	949	17	(	(	PUNCT
cana-356	949	18	2024	2024	NUM
cana-356	949	19	)	)	PUNCT
cana-356	950	1	132	132	NUM
cana-356	950	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	950	3			PROPN
cana-356	950	4			PROPN
cana-356	950	5			NOUN
cana-356	950	6	1	1	NOUN
cana-356	950	7	1	1	NUM
cana-356	950	8	1	1	NUM
cana-356	950	9	1	1	NUM
cana-356	950	10	1	1	NUM
cana-356	950	11	(	(	PUNCT
cana-356	950	12	,	,	PUNCT
cana-356	950	13	)	)	PUNCT
cana-356	950	14	max	max	PROPN
cana-356	950	15	(	(	PUNCT
cana-356	950	16	)	)	PUNCT
cana-356	950	17	,	,	PUNCT
cana-356	950	18	(	(	PUNCT
cana-356	950	19	)	)	PUNCT
cana-356	950	20	min	min	NOUN
cana-356	950	21	(	(	PUNCT
cana-356	950	22	)	)	PUNCT
cana-356	950	23	,	,	PUNCT
cana-356	950	24	(	(	PUNCT
cana-356	950	25	)	)	PUNCT
cana-356	950	26	2	2	NUM
cana-356	950	27	,	,	PUNCT
cana-356	950	28	3i	3i	NOUN
cana-356	950	29	i	i	PRON
cana-356	950	30	i	i	PROPN
cana-356	951	1	d	d	PROPN
cana-356	951	2	v	v	PROPN
cana-356	951	3	d	d	X
cana-356	951	4	v	v	PROPN
cana-356	951	5	d	d	X
cana-356	951	6	v	v	NOUN
cana-356	951	7	z	z	NOUN
cana-356	951	8	i	i	VERB
cana-356	951	9			NOUN
cana-356	951	10			NOUN
cana-356	951	11			NOUN
cana-356	951	12	=	=	NOUN
cana-356	951	13	−	−	PROPN
cana-356	952	1	+	+	CCONJ
cana-356	952	2	=	=	SYM
cana-356	952	3			PROPN
cana-356	952	4			PROPN
cana-356	952	5			NOUN
cana-356	952	6	1	1	NOUN
cana-356	952	7	1	1	NUM
cana-356	952	8	1	1	NUM
cana-356	952	9	1	1	NUM
cana-356	952	10	1	1	NUM
cana-356	952	11	(	(	PUNCT
cana-356	952	12	,	,	PUNCT
cana-356	952	13	)	)	PUNCT
cana-356	952	14	max	max	PROPN
cana-356	952	15	(	(	PUNCT
cana-356	952	16	)	)	PUNCT
cana-356	952	17	,	,	PUNCT
cana-356	952	18	(	(	PUNCT
cana-356	952	19	)	)	PUNCT
cana-356	952	20	min	min	NOUN
cana-356	952	21	(	(	PUNCT
cana-356	952	22	)	)	PUNCT
cana-356	952	23	,	,	PUNCT
cana-356	952	24	(	(	PUNCT
cana-356	952	25	)	)	PUNCT
cana-356	952	26	3	3	NUM
cana-356	952	27	,	,	PUNCT
cana-356	952	28	3i	3i	NOUN
cana-356	952	29	i	i	PRON
cana-356	952	30	i	i	PROPN
cana-356	953	1	d	d	PROPN
cana-356	953	2	v	v	PROPN
cana-356	953	3	d	d	X
cana-356	953	4	v	v	PROPN
cana-356	953	5	d	d	X
cana-356	953	6	v	v	NOUN
cana-356	953	7	z	z	NOUN
cana-356	953	8	i	i	PRON
cana-356	953	9	n	n	VERB
cana-356	953	10			NOUN
cana-356	953	11			NOUN
cana-356	953	12			NOUN
cana-356	953	13	=	=	NOUN
cana-356	953	14	−	−	PROPN
cana-356	954	1	+	+	CCONJ
cana-356	954	2			NOUN
cana-356	954	3			NOUN
cana-356	954	4	.	.	PUNCT
cana-356	955	1	for	for	ADP
cana-356	955	2	all	all	DET
cana-356	955	3	edges	edge	NOUN
cana-356	955	4	idv	idv	PROPN
cana-356	955	5	in	in	ADP
cana-356	955	6	1,ns	1,ns	NUM
cana-356	955	7	,	,	PUNCT
cana-356	955	8	1	1	NUM
cana-356	955	9	1	1	NUM
cana-356	955	10	1	1	NUM
cana-356	955	11	(	(	PUNCT
cana-356	955	12	)	)	PUNCT
cana-356	955	13	(	(	PUNCT
cana-356	955	14	,	,	PUNCT
cana-356	955	15	)	)	PUNCT
cana-356	955	16	(	(	PUNCT
cana-356	955	17	)	)	PUNCT
cana-356	955	18	4i	4i	NOUN
cana-356	955	19	i	i	NOUN
cana-356	955	20	d	d	PROPN
cana-356	955	21	d	d	PROPN
cana-356	955	22	v	v	PROPN
cana-356	955	23	v	v	PROPN
cana-356	955	24	nz	nz	NOUN
cana-356	955	25			ADP
cana-356	955	26	+	+	PROPN
cana-356	955	27	+	+	PUNCT
cana-356	955	28	=	=	SYM
cana-356	955	29	or	or	CCONJ
cana-356	955	30	(	(	PUNCT
cana-356	955	31	4	4	NUM
cana-356	955	32	1)n	1)n	NUM
cana-356	955	33	z−	z−	X
cana-356	955	34	.	.	PUNCT
cana-356	956	1	fix	fix	VERB
cana-356	956	2	1	1	NUM
cana-356	956	3	4k	4k	X
cana-356	956	4	nz=	nz=	NOUN
cana-356	956	5	;	;	PUNCT
cana-356	956	6	and	and	CCONJ
cana-356	956	7	2	2	NUM
cana-356	956	8	(	(	PUNCT
cana-356	956	9	4	4	NUM
cana-356	956	10	1)k	1)k	NUM
cana-356	956	11	n	n	NOUN
cana-356	956	12	z=	z=	NOUN
cana-356	956	13	−	−	PROPN
cana-356	956	14	.	.	PUNCT
cana-356	957	1	so	so	ADV
cana-356	957	2	,	,	PUNCT
cana-356	957	3	m	m	NOUN
cana-356	957	4	-	-	ADJ
cana-356	957	5	fuzzy	fuzzy	ADJ
cana-356	957	6	1,ns	1,ns	NOUN
cana-356	957	7	satisfies	satisfie	NOUN
cana-356	957	8	all	all	DET
cana-356	957	9	conditions	condition	NOUN
cana-356	957	10	of	of	ADP
cana-356	957	11	a	a	DET
cana-356	957	12	bi	bi	ADJ
cana-356	957	13	-	-	ADJ
cana-356	957	14	magic	magic	ADJ
cana-356	957	15	graph	graph	NOUN
cana-356	957	16	,	,	PUNCT
cana-356	957	17	and	and	CCONJ
cana-356	957	18	m	m	ADJ
cana-356	957	19	-	-	ADJ
cana-356	957	20	fuzzy	fuzzy	ADJ
cana-356	957	21	star	star	NOUN
cana-356	957	22	graph	graph	NOUN
cana-356	957	23	1,ns	1,ns	NOUN
cana-356	957	24	is	be	AUX
cana-356	957	25	bi	bi	ADJ
cana-356	957	26	-	-	ADJ
cana-356	957	27	magic	magic	ADJ
cana-356	957	28	.	.	PUNCT
cana-356	958	1	example	example	NOUN
cana-356	959	1	4.1	4.1	NUM
cana-356	959	2	.	.	PUNCT
cana-356	959	3	fig	fig	NOUN
cana-356	959	4	.	.	PUNCT
cana-356	960	1	4	4	NUM
cana-356	960	2	.	.	X
cana-356	961	1	1,300s	1,300s	NUM
cana-356	961	2	m	m	NOUN
cana-356	961	3	-	-	PUNCT
cana-356	961	4	fbm	fbm	NOUN
cana-356	961	5	star	star	NOUN
cana-356	961	6	graph	graph	NOUN
cana-356	961	7	m	m	ADJ
cana-356	961	8	-	-	ADJ
cana-356	961	9	fuzzy	fuzzy	ADJ
cana-356	961	10	labeled	label	VERB
cana-356	961	11	bi	bi	ADJ
cana-356	961	12	-	-	ADJ
cana-356	961	13	star	star	ADJ
cana-356	961	14	graph	graph	NOUN
cana-356	961	15	,	,	PUNCT
cana-356	961	16	n	n	NOUN
cana-356	961	17	nb	nb	NOUN
cana-356	961	18	:	:	PUNCT
cana-356	962	1	_	_	PUNCT
cana-356	963	1	_	_	PUNCT
cana-356	964	1	_	_	PUNCT
cana-356	965	1	_	_	PUNCT
cana-356	966	1	_	_	PUNCT
cana-356	967	1	_	_	PUNCT
cana-356	968	1	_	_	PUNCT
cana-356	969	1	_	_	PUNCT
cana-356	970	1	_	_	PUNCT
cana-356	971	1	_	_	PUNCT
cana-356	972	1	_	_	PUNCT
cana-356	973	1	_	_	PUNCT
cana-356	974	1	_	_	PUNCT
cana-356	975	1	_	_	PUNCT
cana-356	976	1	_	_	PUNCT
cana-356	977	1	_	_	PUNCT
cana-356	978	1	_	_	PUNCT
cana-356	979	1	_	_	PUNCT
cana-356	980	1	_	_	PUNCT
cana-356	981	1	_	_	PUNCT
cana-356	982	1	_	_	PUNCT
cana-356	983	1	_	_	PUNCT
cana-356	984	1	_	_	PUNCT
cana-356	985	1	_	_	PUNCT
cana-356	986	1	_	_	PUNCT
cana-356	987	1	_	_	PUNCT
cana-356	988	1	_	_	PUNCT
cana-356	989	1	_	_	PUNCT
cana-356	990	1	_	_	PUNCT
cana-356	991	1	_	_	PUNCT
cana-356	992	1	_	_	PUNCT
cana-356	993	1	_	_	PUNCT
cana-356	994	1	_	_	PUNCT
cana-356	995	1	_	_	PUNCT
cana-356	996	1	_	_	PUNCT
cana-356	997	1	_	_	PUNCT
cana-356	998	1	_	_	PUNCT
cana-356	999	1	_	_	PUNCT
cana-356	1000	1	_	_	PUNCT
cana-356	1001	1	_	_	PUNCT
cana-356	1002	1	_	_	PUNCT
cana-356	1003	1	_	_	PUNCT
cana-356	1004	1	_	_	PUNCT
cana-356	1005	1	_	_	PUNCT
cana-356	1006	1	_	_	PUNCT
cana-356	1007	1	_	_	PUNCT
cana-356	1008	1	_	_	PUNCT
cana-356	1009	1	_	_	PUNCT
cana-356	1010	1	_	_	PUNCT
cana-356	1011	1	_	_	PUNCT
cana-356	1012	1	_	_	PUNCT
cana-356	1013	1	_	_	PUNCT
cana-356	1014	1	_	_	PUNCT
cana-356	1015	1	_	_	PUNCT
cana-356	1016	1	_	_	PUNCT
cana-356	1017	1	_	_	PUNCT
cana-356	1018	1	_	_	PUNCT
cana-356	1019	1	_	_	PUNCT
cana-356	1020	1	_	_	PUNCT
cana-356	1021	1	_	_	PUNCT
cana-356	1022	1	_	_	PUNCT
cana-356	1023	1	_	_	PUNCT
cana-356	1024	1	_	_	PUNCT
cana-356	1025	1	_	_	PUNCT
cana-356	1026	1	_	_	PUNCT
cana-356	1027	1	_	_	PUNCT
cana-356	1028	1	_	_	PUNCT
cana-356	1029	1	_	_	PUNCT
cana-356	1030	1	_	_	PUNCT
cana-356	1031	1	_	_	PUNCT
cana-356	1032	1	_	_	PUNCT
cana-356	1033	1	_	_	PUNCT
cana-356	1034	1	_	_	PUNCT
cana-356	1035	1	_	_	PUNCT
cana-356	1036	1	_	_	PUNCT
cana-356	1037	1	_	_	PUNCT
cana-356	1038	1	_	_	PUNCT
cana-356	1039	1	_	_	PUNCT
cana-356	1040	1	_	_	PUNCT
cana-356	1041	1	_	_	PUNCT
cana-356	1042	1	_	_	PUNCT
cana-356	1042	2	algorithm	algorithm	NOUN
cana-356	1042	3	4	4	NUM
cana-356	1043	1	_	_	PUNCT
cana-356	1044	1	_	_	PUNCT
cana-356	1045	1	_	_	PUNCT
cana-356	1046	1	_	_	PUNCT
cana-356	1047	1	_	_	PUNCT
cana-356	1048	1	_	_	PUNCT
cana-356	1049	1	_	_	PUNCT
cana-356	1050	1	_	_	PUNCT
cana-356	1051	1	_	_	PUNCT
cana-356	1052	1	_	_	PUNCT
cana-356	1053	1	_	_	PUNCT
cana-356	1054	1	_	_	PUNCT
cana-356	1055	1	_	_	PUNCT
cana-356	1056	1	_	_	PUNCT
cana-356	1057	1	_	_	PUNCT
cana-356	1058	1	_	_	PUNCT
cana-356	1059	1	_	_	PUNCT
cana-356	1060	1	_	_	PUNCT
cana-356	1061	1	_	_	PUNCT
cana-356	1062	1	_	_	PUNCT
cana-356	1063	1	_	_	PUNCT
cana-356	1064	1	_	_	PUNCT
cana-356	1065	1	_	_	PUNCT
cana-356	1066	1	_	_	PUNCT
cana-356	1067	1	_	_	PUNCT
cana-356	1068	1	_	_	PUNCT
cana-356	1069	1	_	_	PUNCT
cana-356	1070	1	_	_	PUNCT
cana-356	1071	1	_	_	PUNCT
cana-356	1072	1	_	_	PUNCT
cana-356	1073	1	_	_	PUNCT
cana-356	1074	1	_	_	PUNCT
cana-356	1075	1	_	_	PUNCT
cana-356	1076	1	_	_	PUNCT
cana-356	1077	1	_	_	PUNCT
cana-356	1078	1	_	_	PUNCT
cana-356	1079	1	_	_	PUNCT
cana-356	1080	1	_	_	PUNCT
cana-356	1081	1	_	_	PUNCT
cana-356	1082	1	_	_	PUNCT
cana-356	1083	1	_	_	PUNCT
cana-356	1084	1	_	_	PUNCT
cana-356	1085	1	_	_	PUNCT
cana-356	1086	1	_	_	PUNCT
cana-356	1087	1	_	_	PUNCT
cana-356	1088	1	_	_	PUNCT
cana-356	1089	1	_	_	PUNCT
cana-356	1090	1	_	_	PUNCT
cana-356	1091	1	_	_	PUNCT
cana-356	1092	1	_	_	PUNCT
cana-356	1093	1	_	_	PUNCT
cana-356	1094	1	_	_	PUNCT
cana-356	1095	1	_	_	PUNCT
cana-356	1096	1	_	_	PUNCT
cana-356	1097	1	_	_	PUNCT
cana-356	1098	1	_	_	PUNCT
cana-356	1099	1	_	_	PUNCT
cana-356	1100	1	_	_	PUNCT
cana-356	1101	1	_	_	PUNCT
cana-356	1102	1	_	_	PUNCT
cana-356	1103	1	_	_	PUNCT
cana-356	1104	1	_	_	PUNCT
cana-356	1105	1	_	_	PUNCT
cana-356	1106	1	_	_	PUNCT
cana-356	1107	1	_	_	PUNCT
cana-356	1108	1	_	_	PUNCT
cana-356	1109	1	_	_	PUNCT
cana-356	1110	1	_	_	PUNCT
cana-356	1111	1	_	_	PUNCT
cana-356	1112	1	_	_	PUNCT
cana-356	1113	1	_	_	PUNCT
cana-356	1114	1	_	_	PUNCT
cana-356	1115	1	_	_	PUNCT
cana-356	1116	1	_	_	PUNCT
cana-356	1117	1	_	_	PUNCT
cana-356	1118	1	_	_	PUNCT
cana-356	1119	1	_	_	PUNCT
cana-356	1120	1	_	_	PUNCT
cana-356	1121	1	_	_	PUNCT
cana-356	1122	1	_	_	PUNCT
cana-356	1123	1	_	_	PUNCT
cana-356	1124	1	m	m	ADJ
cana-356	1124	2	-	-	ADJ
cana-356	1124	3	fuzzy	fuzzy	ADJ
cana-356	1124	4	labeling	labeling	NOUN
cana-356	1124	5	of	of	ADP
cana-356	1124	6	edges	edge	NOUN
cana-356	1124	7	and	and	CCONJ
cana-356	1124	8	vertices	vertex	NOUN
cana-356	1124	9	of	of	ADP
cana-356	1124	10	bi	bi	ADJ
cana-356	1124	11	-	-	ADJ
cana-356	1124	12	star	star	ADJ
cana-356	1124	13	graph	graph	NOUN
cana-356	1124	14	,	,	PUNCT
cana-356	1124	15	n	n	PROPN
cana-356	1124	16	nb	nb	INTJ
cana-356	1124	17	with	with	ADP
cana-356	1124	18	1n	1n	NUM
cana-356	1124	19	where	where	SCONJ
cana-356	1124	20	n	n	PRON
cana-356	1124	21	is	be	AUX
cana-356	1124	22	the	the	DET
cana-356	1124	23	number	number	NOUN
cana-356	1124	24	of	of	ADP
cana-356	1124	25	pendent	pendent	NOUN
cana-356	1124	26	edges	edge	NOUN
cana-356	1124	27	and	and	CCONJ
cana-356	1124	28	(	(	PUNCT
cana-356	1124	29	0,1]z	0,1]z	NOUN
cana-356	1124	30	1	1	X
cana-356	1124	31	.	.	PUNCT
cana-356	1124	32	input	input	NOUN
cana-356	1124	33	:	:	PUNCT
cana-356	1124	34	enter	enter	VERB
cana-356	1124	35	values	value	NOUN
cana-356	1124	36	for	for	ADP
cana-356	1124	37	n	n	NOUN
cana-356	1124	38	and	and	CCONJ
cana-356	1124	39	z	z	NOUN
cana-356	1124	40	.	.	PUNCT
cana-356	1125	1	2	2	X
cana-356	1125	2	.	.	X
cana-356	1125	3	maximum	maximum	ADJ
cana-356	1125	4	number	number	NOUN
cana-356	1125	5	of	of	ADP
cana-356	1125	6	vertices	vertex	NOUN
cana-356	1125	7	are	be	AUX
cana-356	1125	8	2	2	NUM
cana-356	1125	9	2n+	2n+	NUM
cana-356	1125	10	.	.	PUNCT
cana-356	1126	1	3	3	X
cana-356	1126	2	.	.	X
cana-356	1126	3	vertex	vertex	NOUN
cana-356	1126	4	labeling	labeling	NOUN
cana-356	1126	5	be	be	VERB
cana-356	1126	6	,	,	PUNCT
cana-356	1126	7	for	for	ADP
cana-356	1126	8	1i	1i	NOUN
cana-356	1126	9	=	=	SYM
cana-356	1126	10	to	to	ADP
cana-356	1126	11	2n	2n	NUM
cana-356	1126	12	{	{	PUNCT
cana-356	1126	13	if	if	SCONJ
cana-356	1126	14	1	1	NUM
cana-356	1126	15	i	i	PRON
cana-356	1126	16	n	n	VERB
cana-356	1126	17			NOUN
cana-356	1126	18	1	1	NUM
cana-356	1126	19	(	(	PUNCT
cana-356	1126	20	)	)	PUNCT
cana-356	1126	21	(	(	PUNCT
cana-356	1126	22	)	)	PUNCT
cana-356	1126	23	iv	iv	X
cana-356	1126	24	n	n	NUM
cana-356	1126	25	i	i	PRON
cana-356	1126	26	z	z	NUM
cana-356	1126	27	=	=	PUNCT
cana-356	1127	1	+	+	CCONJ
cana-356	1127	2	if	if	SCONJ
cana-356	1127	3	1	1	NUM
cana-356	1127	4	2n	2n	NUM
cana-356	1127	5	i	i	NOUN
cana-356	1127	6	n+	n+	ADP
cana-356	1127	7			NOUN
cana-356	1127	8			NOUN
cana-356	1127	9	1	1	NUM
cana-356	1127	10	(	(	PUNCT
cana-356	1127	11	)	)	PUNCT
cana-356	1127	12	(	(	PUNCT
cana-356	1127	13	2	2	NUM
cana-356	1127	14	1	1	NUM
cana-356	1127	15	)	)	PUNCT
cana-356	1127	16	iv	iv	X
cana-356	1127	17	n	n	NUM
cana-356	1127	18	i	i	PRON
cana-356	1127	19	z	z	NUM
cana-356	1127	20	=	=	PUNCT
cana-356	1128	1	+	+	PUNCT
cana-356	1129	1	+	+	NUM
cana-356	1129	2	communications	communication	NOUN
cana-356	1129	3	on	on	ADP
cana-356	1129	4	applied	apply	VERB
cana-356	1129	5	nonlinear	nonlinear	ADJ
cana-356	1129	6	analysis	analysis	NOUN
cana-356	1129	7	issn	issn	NOUN
cana-356	1129	8	:	:	PUNCT
cana-356	1129	9	1074	1074	NUM
cana-356	1129	10	-	-	PUNCT
cana-356	1129	11	133x	133x	NUM
cana-356	1129	12	vol	vol	NOUN
cana-356	1129	13	31	31	NUM
cana-356	1129	14	no	no	NOUN
cana-356	1129	15	.	.	NOUN
cana-356	1129	16	1	1	NUM
cana-356	1129	17	(	(	PUNCT
cana-356	1129	18	2024	2024	NUM
cana-356	1129	19	)	)	PUNCT
cana-356	1129	20	133	133	NUM
cana-356	1129	21	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	1129	22	}	}	PUNCT
cana-356	1129	23	if	if	SCONJ
cana-356	1129	24	1n	1n	NUM
cana-356	1129	25	1	1	NUM
cana-356	1129	26	(	(	PUNCT
cana-356	1129	27	)	)	PUNCT
cana-356	1129	28	(	(	PUNCT
cana-356	1129	29	2	2	NUM
cana-356	1129	30	1)u	1)u	NUM
cana-356	1129	31	n	n	NOUN
cana-356	1129	32	z	z	NUM
cana-356	1129	33	=	=	PUNCT
cana-356	1130	1	+	+	CCONJ
cana-356	1130	2	if	if	SCONJ
cana-356	1130	3	1n	1n	NUM
cana-356	1130	4	1	1	NUM
cana-356	1130	5	(	(	PUNCT
cana-356	1130	6	)	)	PUNCT
cana-356	1130	7	(	(	PUNCT
cana-356	1130	8	4	4	NUM
cana-356	1130	9	3)w	3)w	NUM
cana-356	1130	10	n	n	NOUN
cana-356	1130	11	z	z	NUM
cana-356	1130	12	=	=	PUNCT
cana-356	1131	1	+	+	NUM
cana-356	1131	2	4	4	X
cana-356	1131	3	.	.	X
cana-356	1131	4	edge	edge	NOUN
cana-356	1131	5	labeling	labeling	NOUN
cana-356	1131	6	be	be	AUX
cana-356	1131	7	,	,	PUNCT
cana-356	1131	8	for	for	ADP
cana-356	1131	9	1i	1i	NOUN
cana-356	1131	10	=	=	SYM
cana-356	1131	11	to	to	ADP
cana-356	1131	12	2n	2n	NUM
cana-356	1131	13	{	{	PUNCT
cana-356	1131	14	if	if	SCONJ
cana-356	1131	15	1	1	NUM
cana-356	1131	16	i	i	PRON
cana-356	1131	17	n	n	VERB
cana-356	1131	18			NUM
cana-356	1131	19			PROPN
cana-356	1131	20			PROPN
cana-356	1132	1			NOUN
cana-356	1132	2	1	1	NOUN
cana-356	1132	3	1	1	NUM
cana-356	1132	4	1	1	NUM
cana-356	1132	5	1	1	NUM
cana-356	1132	6	1	1	NUM
cana-356	1132	7	(	(	PUNCT
cana-356	1132	8	,	,	PUNCT
cana-356	1132	9	)	)	PUNCT
cana-356	1132	10	max	max	PROPN
cana-356	1132	11	(	(	PUNCT
cana-356	1132	12	)	)	PUNCT
cana-356	1132	13	,	,	PUNCT
cana-356	1132	14	(	(	PUNCT
cana-356	1132	15	)	)	PUNCT
cana-356	1132	16	min	min	NOUN
cana-356	1132	17	(	(	PUNCT
cana-356	1132	18	)	)	PUNCT
cana-356	1132	19	,	,	PUNCT
cana-356	1132	20	(	(	PUNCT
cana-356	1132	21	)	)	PUNCT
cana-356	1133	1	i	i	PRON
cana-356	1133	2	i	i	PRON
cana-356	1133	3	iu	iu	VERB
cana-356	1133	4	v	v	NUM
cana-356	1133	5	u	u	PRON
cana-356	1133	6	v	v	ADP
cana-356	1133	7	u	u	NOUN
cana-356	1133	8	v	v	ADJ
cana-356	1133	9			NOUN
cana-356	1133	10			NOUN
cana-356	1133	11			NOUN
cana-356	1133	12	=	=	NOUN
cana-356	1133	13	−	−	PROPN
cana-356	1134	1	if	if	SCONJ
cana-356	1134	2	1	1	NUM
cana-356	1134	3	2n	2n	NUM
cana-356	1134	4	i	i	NOUN
cana-356	1134	5	n+	n+	ADP
cana-356	1134	6			NOUN
cana-356	1134	7			NUM
cana-356	1134	8			NOUN
cana-356	1135	1			PROPN
cana-356	1135	2			NOUN
cana-356	1135	3	1	1	NOUN
cana-356	1135	4	1	1	NUM
cana-356	1135	5	1	1	NUM
cana-356	1135	6	1	1	NUM
cana-356	1135	7	1	1	NUM
cana-356	1135	8	(	(	PUNCT
cana-356	1135	9	,	,	PUNCT
cana-356	1135	10	)	)	PUNCT
cana-356	1135	11	max	max	PROPN
cana-356	1135	12	(	(	PUNCT
cana-356	1135	13	)	)	PUNCT
cana-356	1135	14	,	,	PUNCT
cana-356	1135	15	(	(	PUNCT
cana-356	1135	16	)	)	PUNCT
cana-356	1135	17	min	min	NOUN
cana-356	1135	18	(	(	PUNCT
cana-356	1135	19	)	)	PUNCT
cana-356	1135	20	,	,	PUNCT
cana-356	1135	21	(	(	PUNCT
cana-356	1135	22	)	)	PUNCT
cana-356	1135	23	2i	2i	NOUN
cana-356	1135	24	i	i	PRON
cana-356	1135	25	iw	iw	VERB
cana-356	1135	26	v	v	VERB
cana-356	1135	27	w	w	PROPN
cana-356	1135	28	v	v	PROPN
cana-356	1135	29	w	w	NOUN
cana-356	1135	30	v	v	NOUN
cana-356	1135	31	nz	nz	PRON
cana-356	1135	32			NOUN
cana-356	1135	33			NOUN
cana-356	1135	34			NOUN
cana-356	1135	35	=	=	NOUN
cana-356	1135	36	−	−	PROPN
cana-356	1136	1	+	+	CCONJ
cana-356	1136	2	}	}	PUNCT
cana-356	1136	3	if	if	SCONJ
cana-356	1136	4	1n	1n	NUM
cana-356	1136	5			PROPN
cana-356	1136	6			PROPN
cana-356	1136	7			NOUN
cana-356	1136	8	1	1	NOUN
cana-356	1136	9	1	1	NUM
cana-356	1136	10	1	1	NUM
cana-356	1136	11	1	1	NUM
cana-356	1136	12	1	1	NUM
cana-356	1136	13	(	(	PUNCT
cana-356	1136	14	,	,	PUNCT
cana-356	1136	15	)	)	PUNCT
cana-356	1136	16	max	max	PROPN
cana-356	1136	17	(	(	PUNCT
cana-356	1136	18	)	)	PUNCT
cana-356	1136	19	,	,	PUNCT
cana-356	1136	20	(	(	PUNCT
cana-356	1136	21	)	)	PUNCT
cana-356	1136	22	min	min	NOUN
cana-356	1136	23	(	(	PUNCT
cana-356	1136	24	)	)	PUNCT
cana-356	1136	25	,	,	PUNCT
cana-356	1136	26	(	(	PUNCT
cana-356	1136	27	)	)	PUNCT
cana-356	1136	28	2u	2u	PROPN
cana-356	1136	29	w	w	PROPN
cana-356	1136	30	u	u	PROPN
cana-356	1136	31	w	w	PROPN
cana-356	1136	32	u	u	PROPN
cana-356	1136	33	w	w	NOUN
cana-356	1136	34	nz	nz	PRON
cana-356	1136	35			NOUN
cana-356	1136	36			NOUN
cana-356	1136	37			NOUN
cana-356	1136	38	=	=	NOUN
cana-356	1136	39	−	−	PROPN
cana-356	1137	1	+	+	CCONJ
cana-356	1137	2	5	5	X
cana-356	1137	3	.	.	X
cana-356	1137	4	output	output	NOUN
cana-356	1137	5	:	:	PUNCT
cana-356	1137	6	print	print	VERB
cana-356	1137	7	the	the	DET
cana-356	1137	8	values	value	NOUN
cana-356	1137	9	of	of	ADP
cana-356	1137	10	vertices	vertex	NOUN
cana-356	1137	11	and	and	CCONJ
cana-356	1137	12	edges	edge	NOUN
cana-356	1137	13	.	.	PUNCT
cana-356	1138	1	_	_	PUNCT
cana-356	1139	1	_	_	PUNCT
cana-356	1140	1	_	_	PUNCT
cana-356	1141	1	_	_	PUNCT
cana-356	1142	1	_	_	PUNCT
cana-356	1143	1	_	_	PUNCT
cana-356	1144	1	_	_	PUNCT
cana-356	1145	1	_	_	PUNCT
cana-356	1146	1	_	_	PUNCT
cana-356	1147	1	_	_	PUNCT
cana-356	1148	1	_	_	PUNCT
cana-356	1149	1	_	_	PUNCT
cana-356	1150	1	_	_	PUNCT
cana-356	1151	1	_	_	PUNCT
cana-356	1152	1	_	_	PUNCT
cana-356	1153	1	_	_	PUNCT
cana-356	1154	1	_	_	PUNCT
cana-356	1155	1	_	_	PUNCT
cana-356	1156	1	_	_	PUNCT
cana-356	1157	1	_	_	PUNCT
cana-356	1158	1	_	_	PUNCT
cana-356	1159	1	_	_	PUNCT
cana-356	1160	1	_	_	PUNCT
cana-356	1161	1	_	_	PUNCT
cana-356	1162	1	_	_	PUNCT
cana-356	1163	1	_	_	PUNCT
cana-356	1164	1	_	_	PUNCT
cana-356	1165	1	_	_	PUNCT
cana-356	1166	1	_	_	PUNCT
cana-356	1167	1	_	_	PUNCT
cana-356	1168	1	_	_	PUNCT
cana-356	1169	1	_	_	PUNCT
cana-356	1170	1	_	_	PUNCT
cana-356	1171	1	_	_	PUNCT
cana-356	1172	1	_	_	PUNCT
cana-356	1173	1	_	_	PUNCT
cana-356	1174	1	_	_	PUNCT
cana-356	1175	1	_	_	PUNCT
cana-356	1176	1	_	_	PUNCT
cana-356	1177	1	_	_	PUNCT
cana-356	1178	1	_	_	PUNCT
cana-356	1179	1	_	_	PUNCT
cana-356	1180	1	_	_	PUNCT
cana-356	1181	1	_	_	PUNCT
cana-356	1182	1	_	_	PUNCT
cana-356	1183	1	_	_	PUNCT
cana-356	1184	1	_	_	PUNCT
cana-356	1185	1	_	_	PUNCT
cana-356	1186	1	_	_	PUNCT
cana-356	1187	1	_	_	PUNCT
cana-356	1188	1	_	_	PUNCT
cana-356	1189	1	_	_	PUNCT
cana-356	1190	1	_	_	PUNCT
cana-356	1191	1	_	_	PUNCT
cana-356	1192	1	_	_	PUNCT
cana-356	1193	1	_	_	PUNCT
cana-356	1194	1	_	_	PUNCT
cana-356	1195	1	_	_	PUNCT
cana-356	1196	1	_	_	PUNCT
cana-356	1197	1	_	_	PUNCT
cana-356	1198	1	_	_	PUNCT
cana-356	1199	1	_	_	PUNCT
cana-356	1200	1	_	_	PUNCT
cana-356	1201	1	_	_	PUNCT
cana-356	1202	1	_	_	PUNCT
cana-356	1203	1	_	_	PUNCT
cana-356	1204	1	_	_	PUNCT
cana-356	1205	1	_	_	PUNCT
cana-356	1206	1	_	_	PUNCT
cana-356	1207	1	_	_	PUNCT
cana-356	1208	1	_	_	PUNCT
cana-356	1209	1	_	_	PUNCT
cana-356	1210	1	_	_	PUNCT
cana-356	1211	1	_	_	PUNCT
cana-356	1212	1	_	_	PUNCT
cana-356	1213	1	_	_	PUNCT
cana-356	1214	1	_	_	PUNCT
cana-356	1215	1	_	_	PUNCT
cana-356	1216	1	_	_	PUNCT
cana-356	1217	1	_	_	PUNCT
cana-356	1218	1	_	_	PUNCT
cana-356	1218	2	theorem	theorem	VERB
cana-356	1218	3	4.2	4.2	NUM
cana-356	1218	4	.	.	PUNCT
cana-356	1219	1	let	let	VERB
cana-356	1219	2	,	,	PUNCT
cana-356	1219	3	1	1	NUM
cana-356	1219	4	1	1	NUM
cana-356	1219	5	(	(	PUNCT
cana-356	1219	6	,	,	PUNCT
cana-356	1219	7	)	)	PUNCT
cana-356	1219	8	n	n	CCONJ
cana-356	1219	9	nb	nb	NOUN
cana-356	1219	10			NOUN
cana-356	1219	11			NOUN
cana-356	1219	12	be	be	AUX
cana-356	1219	13	the	the	DET
cana-356	1219	14	m	m	ADJ
cana-356	1219	15	-	-	ADJ
cana-356	1219	16	fuzzy	fuzzy	ADJ
cana-356	1219	17	labeled	label	VERB
cana-356	1219	18	star	star	NOUN
cana-356	1219	19	graph	graph	NOUN
cana-356	1219	20	for	for	ADP
cana-356	1219	21	all	all	DET
cana-356	1219	22	𝑛	𝑛	PRON
cana-356	1219	23	≥	≥	NOUN
cana-356	1219	24	1	1	NUM
cana-356	1219	25	.	.	PUNCT
cana-356	1220	1	then	then	ADV
cana-356	1220	2	,	,	PUNCT
cana-356	1220	3	n	n	CCONJ
cana-356	1220	4	nb	nb	INTJ
cana-356	1220	5	is	be	AUX
cana-356	1220	6	a	a	DET
cana-356	1220	7	mfbml	mfbml	NOUN
cana-356	1220	8	.	.	PUNCT
cana-356	1221	1	proof	proof	NOUN
cana-356	1221	2	.	.	PUNCT
cana-356	1222	1	let	let	VERB
cana-356	1222	2	(	(	PUNCT
cana-356	1222	3	0,1]z	0,1]z	NOUN
cana-356	1222	4	→	→	PUNCT
cana-356	1222	5	such	such	ADJ
cana-356	1222	6	that	that	SCONJ
cana-356	1222	7	2	2	NUM
cana-356	1222	8	3	3	NUM
cana-356	1222	9	0	0	NUM
cana-356	1222	10	0	0	NUM
cana-356	1222	11	4	4	NUM
cana-356	1222	12	0	0	NUM
cana-356	1222	13	0	0	NUM
cana-356	1222	14	0	0	NUM
cana-356	1222	15	0	0	NUM
cana-356	1222	16	1	1	NUM
cana-356	1222	17	1	1	NUM
cana-356	1222	18	,	,	PUNCT
cana-356	1222	19	1	1	NUM
cana-356	1222	20	24	24	NUM
cana-356	1222	21	10	10	NUM
cana-356	1222	22	1	1	NUM
cana-356	1222	23	,	,	PUNCT
cana-356	1222	24	24	24	NUM
cana-356	1222	25	24	24	NUM
cana-356	1222	26	(	(	PUNCT
cana-356	1222	27	225	225	NUM
cana-356	1222	28	10	10	NUM
cana-356	1222	29	)	)	PUNCT
cana-356	1222	30	,	,	PUNCT
cana-356	1222	31	0	0	NUM
cana-356	1222	32	10	10	NUM
cana-356	1222	33	1	1	NUM
cana-356	1222	34	,	,	PUNCT
cana-356	1222	35	24	24	NUM
cana-356	1222	36	(	(	PUNCT
cana-356	1222	37	225	225	NUM
cana-356	1222	38	10	10	NUM
cana-356	1222	39	)	)	PUNCT
cana-356	1222	40	24	24	NUM
cana-356	1222	41	(	(	PUNCT
cana-356	1222	42	225	225	NUM
cana-356	1222	43	10	10	NUM
cana-356	1222	44	)	)	PUNCT
cana-356	1222	45	,	,	PUNCT
cana-356	1222	46	0,1,2,3	0,1,2,3	NUM
cana-356	1222	47	,	,	PUNCT
cana-356	1222	48	10	10	NUM
cana-356	1223	1	i	i	PRON
cana-356	1223	2	t	t	PROPN
cana-356	1224	1	k	k	PROPN
cana-356	1224	2	t	t	PROPN
cana-356	1225	1	i	i	PRON
cana-356	1225	2	k	k	INTJ
cana-356	1226	1	i	i	PRON
cana-356	1227	1	i	i	PRON
cana-356	1228	1	t	t	X
cana-356	1229	1	t	t	PROPN
cana-356	1230	1	k	k	PROPN
cana-356	1230	2	t	t	PROPN
cana-356	1230	3	t	t	PROPN
cana-356	1231	1	i	i	PRON
cana-356	1231	2	k	k	INTJ
cana-356	1232	1	i	i	PRON
cana-356	1232	2	k	k	PROPN
cana-356	1232	3	n	n	PROPN
cana-356	1232	4	z	z	NOUN
cana-356	1232	5	n	n	PROPN
cana-356	1232	6	where	where	SCONJ
cana-356	1232	7	k	k	PROPN
cana-356	1232	8	n	n	ADV
cana-356	1232	9	where	where	SCONJ
cana-356	1232	10	k	k	PROPN
cana-356	1232	11	+	+	PROPN
cana-356	1232	12	=	=	NOUN
cana-356	1232	13			NOUN
cana-356	1232	14			NOUN
cana-356	1232	15	+	+	PUNCT
cana-356	1232	16	=	=	SYM
cana-356	1232	17	=	=	SYM
cana-356	1232	18			NOUN
cana-356	1232	19			NOUN
cana-356	1232	20			NOUN
cana-356	1232	21			NOUN
cana-356	1232	22	+	+	CCONJ
cana-356	1232	23			ADP
cana-356	1232	24			DET
cana-356	1232	25			NUM
cana-356	1232	26			PROPN
cana-356	1232	27			NOUN
cana-356	1233	1			NUM
cana-356	1233	2			NUM
cana-356	1233	3			NUM
cana-356	1233	4	=	=	PROPN
cana-356	1233	5			PROPN
cana-356	1233	6			NOUN
cana-356	1233	7	+	+	CCONJ
cana-356	1233	8			X
cana-356	1233	9	=	=	NOUN
cana-356	1233	10			NUM
cana-356	1233	11			NUM
cana-356	1233	12			NUM
cana-356	1233	13			NUM
cana-356	1233	14	+	+	CCONJ
cana-356	1233	15			PROPN
cana-356	1233	16			PROPN
cana-356	1233	17			PROPN
cana-356	1233	18	+	+	CCONJ
cana-356	1233	19			NOUN
cana-356	1233	20	=	=	NOUN
cana-356	1233	21			NUM
cana-356	1233	22			PROPN
cana-356	1233	23			X
cana-356	1233	24			X
cana-356	1233	25			X
cana-356	1233	26	the	the	DET
cana-356	1233	27	vertex	vertex	NOUN
cana-356	1233	28	membership	membership	NOUN
cana-356	1233	29	values	value	NOUN
cana-356	1233	30	,	,	PUNCT
cana-356	1233	31	and	and	CCONJ
cana-356	1233	32	edge	edge	NOUN
cana-356	1233	33	membership	membership	NOUN
cana-356	1233	34	values	value	NOUN
cana-356	1233	35	are	be	AUX
cana-356	1233	36	defined	define	VERB
cana-356	1233	37	using	use	VERB
cana-356	1233	38	algorithm	algorithm	NOUN
cana-356	1233	39	4	4	NUM
cana-356	1233	40	.	.	NOUN
cana-356	1233	41	1	1	NUM
cana-356	1233	42	:	:	PUNCT
cana-356	1234	1	[	[	X
cana-356	1234	2	0,1]v	0,1]v	X
cana-356	1234	3	→	→	PUNCT
cana-356	1234	4	such	such	ADJ
cana-356	1234	5	that	that	SCONJ
cana-356	1234	6	1	1	NUM
cana-356	1234	7	(	(	PUNCT
cana-356	1234	8	)	)	PUNCT
cana-356	1234	9	(	(	PUNCT
cana-356	1234	10	)	)	PUNCT
cana-356	1234	11	,	,	PUNCT
cana-356	1234	12	1iv	1iv	NUM
cana-356	1234	13	n	n	CCONJ
cana-356	1234	14	i	i	PRON
cana-356	1234	15	z	z	VERB
cana-356	1234	16	i	i	PRON
cana-356	1234	17	n	n	PROPN
cana-356	1234	18	=	=	PUNCT
cana-356	1234	19	+	+	NUM
cana-356	1234	20			NOUN
cana-356	1234	21			NOUN
cana-356	1234	22	1	1	NUM
cana-356	1234	23	(	(	PUNCT
cana-356	1234	24	)	)	PUNCT
cana-356	1234	25	(	(	PUNCT
cana-356	1234	26	2	2	NUM
cana-356	1234	27	1	1	NUM
cana-356	1234	28	)	)	PUNCT
cana-356	1234	29	,	,	PUNCT
cana-356	1234	30	1	1	NUM
cana-356	1234	31	2iv	2iv	NOUN
cana-356	1234	32	n	n	CCONJ
cana-356	1234	33	i	i	PRON
cana-356	1234	34	z	z	VERB
cana-356	1234	35	n	n	VERB
cana-356	1234	36	i	i	PROPN
cana-356	1234	37	n	n	ADV
cana-356	1234	38	=	=	PUNCT
cana-356	1235	1	+	+	PUNCT
cana-356	1235	2	+	+	CCONJ
cana-356	1235	3	+	+	NOUN
cana-356	1235	4			NOUN
cana-356	1235	5			NOUN
cana-356	1235	6	communications	communication	NOUN
cana-356	1235	7	on	on	ADP
cana-356	1235	8	applied	apply	VERB
cana-356	1235	9	nonlinear	nonlinear	ADJ
cana-356	1235	10	analysis	analysis	NOUN
cana-356	1235	11	issn	issn	NOUN
cana-356	1235	12	:	:	PUNCT
cana-356	1235	13	1074	1074	NUM
cana-356	1235	14	-	-	PUNCT
cana-356	1235	15	133x	133x	NUM
cana-356	1235	16	vol	vol	NOUN
cana-356	1235	17	31	31	NUM
cana-356	1235	18	no	no	NOUN
cana-356	1235	19	.	.	NOUN
cana-356	1235	20	1	1	NUM
cana-356	1235	21	(	(	PUNCT
cana-356	1235	22	2024	2024	NUM
cana-356	1235	23	)	)	PUNCT
cana-356	1235	24	134	134	NUM
cana-356	1235	25	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	1235	26	1	1	NUM
cana-356	1235	27	(	(	PUNCT
cana-356	1235	28	)	)	PUNCT
cana-356	1235	29	(	(	PUNCT
cana-356	1235	30	2	2	NUM
cana-356	1235	31	1	1	NUM
cana-356	1235	32	)	)	PUNCT
cana-356	1235	33	,	,	PUNCT
cana-356	1235	34	1u	1u	PROPN
cana-356	1235	35	n	n	PROPN
cana-356	1235	36	z	z	PROPN
cana-356	1235	37	n	n	PROPN
cana-356	1235	38	=	=	SYM
cana-356	1236	1	+	+	NUM
cana-356	1236	2			NUM
cana-356	1236	3	1	1	NUM
cana-356	1236	4	(	(	PUNCT
cana-356	1236	5	)	)	PUNCT
cana-356	1236	6	(	(	PUNCT
cana-356	1236	7	4	4	NUM
cana-356	1236	8	3	3	NUM
cana-356	1236	9	)	)	PUNCT
cana-356	1236	10	,	,	PUNCT
cana-356	1236	11	1w	1w	NUM
cana-356	1236	12	n	n	PRON
cana-356	1236	13	z	z	NOUN
cana-356	1236	14	n	n	PROPN
cana-356	1236	15	=	=	SYM
cana-356	1237	1	+	+	NUM
cana-356	1237	2			NUM
cana-356	1237	3	1	1	NUM
cana-356	1237	4	:	:	PUNCT
cana-356	1238	1	[	[	X
cana-356	1238	2	0,1]v	0,1]v	X
cana-356	1238	3	v	v	PROPN
cana-356	1238	4			PROPN
cana-356	1238	5	→	→	PUNCT
cana-356	1238	6	such	such	ADJ
cana-356	1238	7	that	that	SCONJ
cana-356	1238	8			PROPN
cana-356	1238	9			PROPN
cana-356	1238	10			X
cana-356	1238	11	1	1	NOUN
cana-356	1238	12	1	1	NUM
cana-356	1238	13	1	1	NUM
cana-356	1238	14	1	1	NUM
cana-356	1238	15	1	1	NUM
cana-356	1238	16	(	(	PUNCT
cana-356	1238	17	,	,	PUNCT
cana-356	1238	18	)	)	PUNCT
cana-356	1238	19	max	max	PROPN
cana-356	1238	20	(	(	PUNCT
cana-356	1238	21	)	)	PUNCT
cana-356	1238	22	,	,	PUNCT
cana-356	1238	23	(	(	PUNCT
cana-356	1238	24	)	)	PUNCT
cana-356	1238	25	min	min	NOUN
cana-356	1238	26	(	(	PUNCT
cana-356	1238	27	)	)	PUNCT
cana-356	1238	28	,	,	PUNCT
cana-356	1238	29	(	(	PUNCT
cana-356	1238	30	)	)	PUNCT
cana-356	1238	31	,	,	PUNCT
cana-356	1238	32	1i	1i	NOUN
cana-356	1238	33	i	i	PRON
cana-356	1238	34	iu	iu	VERB
cana-356	1238	35	v	v	NUM
cana-356	1238	36	u	u	NOUN
cana-356	1238	37	v	v	ADP
cana-356	1238	38	u	u	PRON
cana-356	1238	39	v	v	ADP
cana-356	1238	40	i	i	PRON
cana-356	1238	41	n	n	VERB
cana-356	1238	42			NOUN
cana-356	1238	43			NOUN
cana-356	1238	44			NOUN
cana-356	1238	45	=	=	NOUN
cana-356	1238	46	−	−	NOUN
cana-356	1238	47			NOUN
cana-356	1238	48			NOUN
cana-356	1238	49			NOUN
cana-356	1238	50			PROPN
cana-356	1238	51			NOUN
cana-356	1238	52	1	1	NOUN
cana-356	1238	53	1	1	NUM
cana-356	1238	54	1	1	NUM
cana-356	1238	55	1	1	NUM
cana-356	1238	56	1	1	NUM
cana-356	1238	57	(	(	PUNCT
cana-356	1238	58	,	,	PUNCT
cana-356	1238	59	)	)	PUNCT
cana-356	1238	60	max	max	PROPN
cana-356	1238	61	(	(	PUNCT
cana-356	1238	62	)	)	PUNCT
cana-356	1238	63	,	,	PUNCT
cana-356	1238	64	(	(	PUNCT
cana-356	1238	65	)	)	PUNCT
cana-356	1238	66	min	min	NOUN
cana-356	1238	67	(	(	PUNCT
cana-356	1238	68	)	)	PUNCT
cana-356	1238	69	,	,	PUNCT
cana-356	1238	70	(	(	PUNCT
cana-356	1238	71	)	)	PUNCT
cana-356	1238	72	2	2	NUM
cana-356	1238	73	,	,	PUNCT
cana-356	1238	74	1	1	NUM
cana-356	1238	75	2i	2i	NUM
cana-356	1238	76	i	i	PRON
cana-356	1238	77	iw	iw	VERB
cana-356	1238	78	v	v	VERB
cana-356	1238	79	w	w	PROPN
cana-356	1238	80	v	v	PROPN
cana-356	1238	81	w	w	PROPN
cana-356	1238	82	v	v	PROPN
cana-356	1238	83	nz	nz	PROPN
cana-356	1238	84	n	n	ADP
cana-356	1238	85	i	i	PRON
cana-356	1238	86	n	n	VERB
cana-356	1238	87			NOUN
cana-356	1238	88			NOUN
cana-356	1238	89			NOUN
cana-356	1238	90	=	=	NOUN
cana-356	1238	91	−	−	PROPN
cana-356	1239	1	+	+	CCONJ
cana-356	1239	2	+	+	NUM
cana-356	1239	3			NOUN
cana-356	1239	4			NOUN
cana-356	1239	5			NOUN
cana-356	1240	1			PROPN
cana-356	1240	2			NOUN
cana-356	1240	3	1	1	NOUN
cana-356	1240	4	1	1	NUM
cana-356	1240	5	1	1	NUM
cana-356	1240	6	1	1	NUM
cana-356	1240	7	1	1	NUM
cana-356	1240	8	(	(	PUNCT
cana-356	1240	9	,	,	PUNCT
cana-356	1240	10	)	)	PUNCT
cana-356	1240	11	max	max	PROPN
cana-356	1240	12	(	(	PUNCT
cana-356	1240	13	)	)	PUNCT
cana-356	1240	14	,	,	PUNCT
cana-356	1240	15	(	(	PUNCT
cana-356	1240	16	)	)	PUNCT
cana-356	1240	17	min	min	NOUN
cana-356	1240	18	(	(	PUNCT
cana-356	1240	19	)	)	PUNCT
cana-356	1240	20	,	,	PUNCT
cana-356	1240	21	(	(	PUNCT
cana-356	1240	22	)	)	PUNCT
cana-356	1240	23	2	2	NUM
cana-356	1240	24	,	,	PUNCT
cana-356	1240	25	1u	1u	NUM
cana-356	1240	26	w	w	SYM
cana-356	1240	27	u	u	PROPN
cana-356	1240	28	w	w	PROPN
cana-356	1240	29	u	u	PROPN
cana-356	1240	30	w	w	PROPN
cana-356	1240	31	nz	nz	PROPN
cana-356	1240	32	n	n	NOUN
cana-356	1240	33			NOUN
cana-356	1240	34			NOUN
cana-356	1240	35			NOUN
cana-356	1240	36	=	=	NOUN
cana-356	1240	37	−	−	PROPN
cana-356	1241	1	+	+	CCONJ
cana-356	1241	2			NUM
cana-356	1241	3	for	for	ADP
cana-356	1241	4	all	all	DET
cana-356	1241	5	edges	edge	NOUN
cana-356	1241	6	iuv	iuv	NOUN
cana-356	1241	7	in	in	ADP
cana-356	1241	8	,	,	PUNCT
cana-356	1241	9	n	n	CCONJ
cana-356	1241	10	nb	nb	INTJ
cana-356	1241	11	,	,	PUNCT
cana-356	1241	12	1	1	NUM
cana-356	1241	13	1	1	NUM
cana-356	1241	14	1	1	NUM
cana-356	1241	15	(	(	PUNCT
cana-356	1241	16	)	)	PUNCT
cana-356	1241	17	(	(	PUNCT
cana-356	1241	18	,	,	PUNCT
cana-356	1241	19	)	)	PUNCT
cana-356	1241	20	(	(	PUNCT
cana-356	1241	21	)	)	PUNCT
cana-356	1241	22	(	(	PUNCT
cana-356	1241	23	4	4	NUM
cana-356	1241	24	2)iu	2)iu	NUM
cana-356	1241	25	u	u	NOUN
cana-356	1241	26	v	v	ADP
cana-356	1241	27	v	v	NOUN
cana-356	1241	28	n	n	CCONJ
cana-356	1241	29	z	z	NUM
cana-356	1241	30			ADP
cana-356	1241	31	+	+	NUM
cana-356	1241	32	+	+	PUNCT
cana-356	1242	1	=	=	SYM
cana-356	1243	1	+	+	CCONJ
cana-356	1244	1	or	or	CCONJ
cana-356	1244	2	(	(	PUNCT
cana-356	1244	3	10	10	NUM
cana-356	1244	4	6)n	6)n	NUM
cana-356	1244	5	z+	z+	NUM
cana-356	1244	6	.	.	PUNCT
cana-356	1245	1	fix	fix	VERB
cana-356	1245	2	1	1	NUM
cana-356	1245	3	(	(	PUNCT
cana-356	1245	4	4	4	NUM
cana-356	1245	5	2)k	2)k	NOUN
cana-356	1245	6	n	n	X
cana-356	1245	7	z=	z=	NOUN
cana-356	1246	1	+	+	CCONJ
cana-356	1246	2	and	and	CCONJ
cana-356	1246	3	2	2	NUM
cana-356	1246	4	(	(	PUNCT
cana-356	1246	5	10	10	NUM
cana-356	1246	6	6)k	6)k	NUM
cana-356	1246	7	n	n	CCONJ
cana-356	1246	8	z=	z=	NOUN
cana-356	1246	9	+	+	CCONJ
cana-356	1246	10	.	.	PUNCT
cana-356	1247	1	so	so	ADV
cana-356	1247	2	,	,	PUNCT
cana-356	1247	3	m	m	NOUN
cana-356	1247	4	-	-	ADJ
cana-356	1247	5	fuzzy	fuzzy	ADJ
cana-356	1247	6	,	,	PUNCT
cana-356	1247	7	n	n	PRON
cana-356	1247	8	nb	nb	NOUN
cana-356	1247	9	satisfies	satisfy	VERB
cana-356	1247	10	all	all	DET
cana-356	1247	11	conditions	condition	NOUN
cana-356	1247	12	of	of	ADP
cana-356	1247	13	a	a	DET
cana-356	1247	14	bi	bi	ADJ
cana-356	1247	15	-	-	ADJ
cana-356	1247	16	magic	magic	ADJ
cana-356	1247	17	graph	graph	NOUN
cana-356	1247	18	,	,	PUNCT
cana-356	1247	19	and	and	CCONJ
cana-356	1247	20	the	the	DET
cana-356	1247	21	m	m	ADJ
cana-356	1247	22	-	-	ADJ
cana-356	1247	23	fuzzy	fuzzy	ADJ
cana-356	1247	24	bistar	bistar	NOUN
cana-356	1247	25	graph	graph	NOUN
cana-356	1247	26	,	,	PUNCT
cana-356	1247	27	n	n	PRON
cana-356	1247	28	nb	nb	PROPN
cana-356	1247	29	is	be	AUX
cana-356	1247	30	bi	bi	ADJ
cana-356	1247	31	-	-	ADJ
cana-356	1247	32	magic	magic	ADJ
cana-356	1247	33	.	.	PUNCT
cana-356	1248	1	example	example	NOUN
cana-356	1249	1	4.2	4.2	NUM
cana-356	1249	2	.	.	PUNCT
cana-356	1250	1	fig.5	fig.5	NOUN
cana-356	1250	2	.	.	PUNCT
cana-356	1251	1	249,249b	249,249b	NUM
cana-356	1251	2	m	m	NOUN
cana-356	1251	3	-	-	PUNCT
cana-356	1251	4	fbm	fbm	NOUN
cana-356	1251	5	bi	bi	ADJ
cana-356	1251	6	-	-	ADJ
cana-356	1251	7	star	star	ADJ
cana-356	1251	8	graph	graph	NOUN
cana-356	1251	9	5	5	NUM
cana-356	1251	10	.	.	PUNCT
cana-356	1251	11	findings	finding	NOUN
cana-356	1251	12	1	1	NUM
cana-356	1251	13	.	.	PUNCT
cana-356	1252	1	every	every	DET
cana-356	1252	2	m	m	NOUN
cana-356	1252	3	-	-	PUNCT
cana-356	1252	4	fbm	fbm	NOUN
cana-356	1252	5	graph	graph	NOUN
cana-356	1252	6	is	be	AUX
cana-356	1252	7	a	a	DET
cana-356	1252	8	flg	flg	NOUN
cana-356	1252	9	,	,	PUNCT
cana-356	1252	10	but	but	CCONJ
cana-356	1252	11	the	the	DET
cana-356	1252	12	converse	converse	NOUN
cana-356	1252	13	is	be	AUX
cana-356	1252	14	not	not	PART
cana-356	1252	15	true	true	ADJ
cana-356	1252	16	.	.	PUNCT
cana-356	1253	1	2	2	X
cana-356	1253	2	.	.	X
cana-356	1254	1	every	every	DET
cana-356	1254	2	m	m	NOUN
cana-356	1254	3	-	-	ADJ
cana-356	1254	4	feam	feam	NOUN
cana-356	1254	5	and	and	CCONJ
cana-356	1254	6	m	m	NOUN
cana-356	1254	7	-	-	ADJ
cana-356	1254	8	fvam	fvam	NOUN
cana-356	1254	9	graph	graph	NOUN
cana-356	1254	10	is	be	AUX
cana-356	1254	11	a	a	DET
cana-356	1254	12	flg	flg	NOUN
cana-356	1254	13	,	,	PUNCT
cana-356	1254	14	but	but	CCONJ
cana-356	1254	15	the	the	DET
cana-356	1254	16	converse	converse	NOUN
cana-356	1254	17	is	be	AUX
cana-356	1254	18	not	not	PART
cana-356	1254	19	true	true	ADJ
cana-356	1254	20	.	.	PUNCT
cana-356	1255	1	3	3	X
cana-356	1255	2	.	.	X
cana-356	1255	3	if	if	SCONJ
cana-356	1255	4	𝐺	𝐺	PROPN
cana-356	1255	5	is	be	AUX
cana-356	1255	6	a	a	DET
cana-356	1255	7	m	m	NOUN
cana-356	1255	8	-	-	PUNCT
cana-356	1255	9	fbm	fbm	NOUN
cana-356	1255	10	graph	graph	NOUN
cana-356	1255	11	then	then	ADV
cana-356	1255	12	(	(	PUNCT
cana-356	1255	13	)	)	PUNCT
cana-356	1255	14	(	(	PUNCT
cana-356	1255	15	)	)	PUNCT
cana-356	1255	16	d	d	SYM
cana-356	1255	17	u	u	NOUN
cana-356	1255	18	d	d	X
cana-356	1255	19	v	v	PROPN
cana-356	1255	20	for	for	ADP
cana-356	1255	21	any	any	DET
cana-356	1255	22	pair	pair	NOUN
cana-356	1255	23	of	of	ADP
cana-356	1255	24	vertices	vertex	NOUN
cana-356	1255	25	,	,	PUNCT
cana-356	1255	26	(	(	PUNCT
cana-356	1255	27	)	)	PUNCT
cana-356	1255	28	u	u	NOUN
cana-356	1255	29	v	v	NOUN
cana-356	1255	30	v	v	ADP
cana-356	1255	31	g	g	PROPN
cana-356	1255	32	.	.	PUNCT
cana-356	1256	1	4	4	X
cana-356	1256	2	.	.	X
cana-356	1256	3	if	if	SCONJ
cana-356	1256	4	𝐺	𝐺	PROPN
cana-356	1256	5	is	be	AUX
cana-356	1256	6	a	a	DET
cana-356	1256	7	m	m	NOUN
cana-356	1256	8	-	-	ADJ
cana-356	1256	9	feam	feam	NOUN
cana-356	1256	10	and	and	CCONJ
cana-356	1256	11	m	m	NOUN
cana-356	1256	12	-	-	PUNCT
cana-356	1256	13	fvam	fvam	NOUN
cana-356	1256	14	path	path	NOUN
cana-356	1256	15	graph	graph	NOUN
cana-356	1256	16	of	of	ADP
cana-356	1256	17	even	even	ADV
cana-356	1256	18	length	length	NOUN
cana-356	1256	19	then	then	ADV
cana-356	1256	20	(	(	PUNCT
cana-356	1256	21	)	)	PUNCT
cana-356	1256	22	(	(	PUNCT
cana-356	1256	23	)	)	PUNCT
cana-356	1256	24	d	d	SYM
cana-356	1256	25	u	u	NOUN
cana-356	1256	26	d	d	X
cana-356	1256	27	v	v	PROPN
cana-356	1256	28	for	for	ADP
cana-356	1256	29	any	any	DET
cana-356	1256	30	pair	pair	NOUN
cana-356	1256	31	of	of	ADP
cana-356	1256	32	vertices	vertex	NOUN
cana-356	1256	33	,	,	PUNCT
cana-356	1256	34	(	(	PUNCT
cana-356	1256	35	)	)	PUNCT
cana-356	1256	36	u	u	NOUN
cana-356	1256	37	v	v	NOUN
cana-356	1256	38	v	v	ADP
cana-356	1256	39	g	g	PROPN
cana-356	1256	40	.	.	PUNCT
cana-356	1257	1	communications	communication	NOUN
cana-356	1257	2	on	on	ADP
cana-356	1257	3	applied	apply	VERB
cana-356	1257	4	nonlinear	nonlinear	ADJ
cana-356	1257	5	analysis	analysis	NOUN
cana-356	1257	6	issn	issn	NOUN
cana-356	1257	7	:	:	PUNCT
cana-356	1257	8	1074	1074	NUM
cana-356	1257	9	-	-	PUNCT
cana-356	1257	10	133x	133x	NUM
cana-356	1257	11	vol	vol	NOUN
cana-356	1257	12	31	31	NUM
cana-356	1257	13	no	no	NOUN
cana-356	1257	14	.	.	NOUN
cana-356	1257	15	1	1	NUM
cana-356	1257	16	(	(	PUNCT
cana-356	1257	17	2024	2024	NUM
cana-356	1257	18	)	)	PUNCT
cana-356	1257	19	135	135	NUM
cana-356	1258	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-356	1258	2	5	5	NUM
cana-356	1258	3	.	.	PUNCT
cana-356	1259	1	every	every	DET
cana-356	1259	2	m	m	NOUN
cana-356	1259	3	-	-	ADJ
cana-356	1259	4	feam	feam	ADJ
cana-356	1259	5	path	path	NOUN
cana-356	1259	6	graph	graph	NOUN
cana-356	1259	7	of	of	ADP
cana-356	1259	8	odd	odd	ADJ
cana-356	1259	9	length	length	NOUN
cana-356	1259	10	must	must	AUX
cana-356	1259	11	have	have	VERB
cana-356	1259	12	one	one	NUM
cana-356	1259	13	pair	pair	NOUN
cana-356	1259	14	of	of	ADP
cana-356	1259	15	vertices	vertex	NOUN
cana-356	1259	16	whose	whose	DET
cana-356	1259	17	degrees	degree	NOUN
cana-356	1259	18	are	be	AUX
cana-356	1259	19	same	same	ADJ
cana-356	1259	20	.	.	PUNCT
cana-356	1260	1	6	6	X
cana-356	1260	2	.	.	X
cana-356	1260	3	conclusion	conclusion	NOUN
cana-356	1260	4	the	the	DET
cana-356	1260	5	proposed	propose	VERB
cana-356	1260	6	article	article	NOUN
cana-356	1260	7	introduces	introduce	VERB
cana-356	1260	8	the	the	DET
cana-356	1260	9	m	m	NOUN
cana-356	1260	10	-	-	PUNCT
cana-356	1260	11	fbm	fbm	PROPN
cana-356	1260	12	,	,	PUNCT
cana-356	1260	13	m	m	NOUN
cana-356	1260	14	-	-	NOUN
cana-356	1260	15	feam	feam	NOUN
cana-356	1260	16	,	,	PUNCT
cana-356	1260	17	and	and	CCONJ
cana-356	1260	18	m	m	NOUN
cana-356	1260	19	-	-	PUNCT
cana-356	1260	20	fvam	fvam	ADJ
cana-356	1260	21	labeling	labeling	NOUN
cana-356	1260	22	concepts	concept	NOUN
cana-356	1260	23	,	,	PUNCT
cana-356	1260	24	discussing	discuss	VERB
cana-356	1260	25	m	m	NOUN
cana-356	1260	26	-	-	PUNCT
cana-356	1260	27	fbm	fbm	NOUN
cana-356	1260	28	labeling	labeling	NOUN
cana-356	1260	29	for	for	ADP
cana-356	1260	30	bi	bi	NOUN
cana-356	1260	31	-	-	NOUN
cana-356	1260	32	star	star	ADJ
cana-356	1260	33	and	and	CCONJ
cana-356	1260	34	star	star	NOUN
cana-356	1260	35	graphs	graph	NOUN
cana-356	1260	36	,	,	PUNCT
cana-356	1260	37	as	as	ADV
cana-356	1260	38	well	well	ADV
cana-356	1260	39	as	as	ADP
cana-356	1260	40	m	m	NOUN
cana-356	1260	41	-	-	NOUN
cana-356	1260	42	feam	feam	NOUN
cana-356	1260	43	and	and	CCONJ
cana-356	1260	44	m	m	NOUN
cana-356	1260	45	-	-	PUNCT
cana-356	1260	46	fvam	fvam	NOUN
cana-356	1260	47	labeling	labeling	NOUN
cana-356	1260	48	for	for	ADP
cana-356	1260	49	star	star	NOUN
cana-356	1260	50	and	and	CCONJ
cana-356	1260	51	path	path	NOUN
cana-356	1260	52	graphs	graph	NOUN
cana-356	1260	53	.	.	PUNCT
cana-356	1261	1	additionally	additionally	ADV
cana-356	1261	2	,	,	PUNCT
cana-356	1261	3	we	we	PRON
cana-356	1261	4	examined	examine	VERB
cana-356	1261	5	the	the	DET
cana-356	1261	6	properties	property	NOUN
cana-356	1261	7	of	of	ADP
cana-356	1261	8	m	m	NOUN
cana-356	1261	9	-	-	PUNCT
cana-356	1261	10	fbml	fbml	ADJ
cana-356	1261	11	,	,	PUNCT
cana-356	1261	12	m	m	NOUN
cana-356	1261	13	-	-	NOUN
cana-356	1261	14	feam	feam	NOUN
cana-356	1261	15	,	,	PUNCT
cana-356	1261	16	and	and	CCONJ
cana-356	1261	17	m	m	NOUN
cana-356	1261	18	-	-	ADJ
cana-356	1261	19	fvam	fvam	NOUN
cana-356	1261	20	graphs	graph	NOUN
cana-356	1261	21	,	,	PUNCT
cana-356	1261	22	and	and	CCONJ
cana-356	1261	23	will	will	AUX
cana-356	1261	24	expand	expand	VERB
cana-356	1261	25	our	our	PRON
cana-356	1261	26	analysis	analysis	NOUN
cana-356	1261	27	to	to	PART
cana-356	1261	28	include	include	VERB
cana-356	1261	29	some	some	DET
cana-356	1261	30	other	other	ADJ
cana-356	1261	31	specialised	specialised	ADJ
cana-356	1261	32	graph	graph	NOUN
cana-356	1261	33	classes	class	NOUN
cana-356	1261	34	.	.	PUNCT
cana-356	1262	1	references	reference	NOUN
cana-356	1262	2	[	[	X
cana-356	1262	3	1	1	NUM
cana-356	1262	4	]	]	PUNCT
cana-356	1262	5	gallian	gallian	NOUN
cana-356	1262	6	,	,	PUNCT
cana-356	1262	7	j.	j.	PROPN
cana-356	1262	8	a.	a.	PROPN
cana-356	1262	9	(	(	PUNCT
cana-356	1262	10	2018	2018	NUM
cana-356	1262	11	)	)	PUNCT
cana-356	1262	12	.	.	PUNCT
cana-356	1263	1	a	a	DET
cana-356	1263	2	dynamic	dynamic	ADJ
cana-356	1263	3	survey	survey	NOUN
cana-356	1263	4	of	of	ADP
cana-356	1263	5	graph	graph	NOUN
cana-356	1263	6	labeling	labeling	NOUN
cana-356	1263	7	.	.	PUNCT
cana-356	1264	1	electronic	electronic	ADJ
cana-356	1264	2	journal	journal	NOUN
cana-356	1264	3	of	of	ADP
cana-356	1264	4	combinatorics	combinatoric	NOUN
cana-356	1264	5	,	,	PUNCT
cana-356	1264	6	1(dynamicsurveys	1(dynamicsurveys	NUM
cana-356	1264	7	)	)	PUNCT
cana-356	1264	8	,	,	PUNCT
cana-356	1264	9	ds6	ds6	NOUN
cana-356	1264	10	.	.	PUNCT
cana-356	1265	1	[	[	X
cana-356	1265	2	2	2	NUM
cana-356	1265	3	]	]	PUNCT
cana-356	1265	4	rosenfeld	rosenfeld	PROPN
cana-356	1265	5	a.	a.	NOUN
cana-356	1265	6	fuzzy	fuzzy	PROPN
cana-356	1265	7	graphs	graph	NOUN
cana-356	1265	8	.	.	PUNCT
cana-356	1266	1	in	in	ADP
cana-356	1266	2	fuzzy	fuzzy	ADJ
cana-356	1266	3	sets	set	NOUN
cana-356	1266	4	and	and	CCONJ
cana-356	1266	5	their	their	PRON
cana-356	1266	6	applications	application	NOUN
cana-356	1266	7	to	to	PART
cana-356	1266	8	cognitive	cognitive	VERB
cana-356	1266	9	and	and	CCONJ
cana-356	1266	10	decision	decision	NOUN
cana-356	1266	11	processes	process	NOUN
cana-356	1266	12	1975	1975	NUM
cana-356	1266	13	jan	jan	NOUN
cana-356	1266	14	1	1	NUM
cana-356	1266	15	(	(	PUNCT
cana-356	1266	16	pp	pp	ADJ
cana-356	1266	17	.	.	PUNCT
cana-356	1267	1	77	77	NUM
cana-356	1267	2	-	-	SYM
cana-356	1267	3	95	95	NUM
cana-356	1267	4	)	)	PUNCT
cana-356	1267	5	.	.	PUNCT
cana-356	1268	1	academic	academic	ADJ
cana-356	1268	2	press	press	NOUN
cana-356	1268	3	.	.	PUNCT
cana-356	1269	1	[	[	X
cana-356	1269	2	3	3	X
cana-356	1269	3	]	]	X
cana-356	1269	4	gani	gani	X
cana-356	1269	5	,	,	PUNCT
cana-356	1269	6	a.	a.	NOUN
cana-356	1269	7	n.	n.	PROPN
cana-356	1269	8	,	,	PUNCT
cana-356	1269	9	&	&	CCONJ
cana-356	1269	10	subahashini	subahashini	PROPN
cana-356	1269	11	,	,	PUNCT
cana-356	1269	12	d.	d.	PROPN
cana-356	1269	13	r.	r.	PROPN
cana-356	1269	14	(	(	PUNCT
cana-356	1269	15	2012	2012	NUM
cana-356	1269	16	)	)	PUNCT
cana-356	1269	17	.	.	PUNCT
cana-356	1270	1	properties	property	NOUN
cana-356	1270	2	of	of	ADP
cana-356	1270	3	fuzzy	fuzzy	ADJ
cana-356	1270	4	labeling	labeling	NOUN
cana-356	1270	5	graph	graph	NOUN
cana-356	1270	6	.	.	PUNCT
cana-356	1271	1	applied	apply	VERB
cana-356	1271	2	mathematical	mathematical	ADJ
cana-356	1271	3	sciences	science	NOUN
cana-356	1271	4	,	,	PUNCT
cana-356	1271	5	6(70	6(70	NUM
cana-356	1271	6	)	)	PUNCT
cana-356	1271	7	,	,	PUNCT
cana-356	1271	8	3461	3461	NUM
cana-356	1271	9	-	-	SYM
cana-356	1271	10	3466	3466	NUM
cana-356	1271	11	.	.	PUNCT
cana-356	1272	1	[	[	X
cana-356	1272	2	4	4	NUM
cana-356	1272	3	]	]	X
cana-356	1272	4	nagoor	nagoor	PROPN
cana-356	1272	5	gani	gani	PROPN
cana-356	1272	6	,	,	PUNCT
cana-356	1272	7	a.	a.	PROPN
cana-356	1272	8	,	,	PUNCT
cana-356	1272	9	&	&	CCONJ
cana-356	1272	10	akram	akram	PROPN
cana-356	1272	11	,	,	PUNCT
cana-356	1272	12	m.	m.	NOUN
cana-356	1272	13	(	(	PUNCT
cana-356	1272	14	2014	2014	NUM
cana-356	1272	15	)	)	PUNCT
cana-356	1272	16	.	.	PUNCT
cana-356	1273	1	novel	novel	ADJ
cana-356	1273	2	properties	property	NOUN
cana-356	1273	3	of	of	ADP
cana-356	1273	4	fuzzy	fuzzy	ADJ
cana-356	1273	5	labeling	labeling	NOUN
cana-356	1273	6	graphs	graph	NOUN
cana-356	1273	7	.	.	PUNCT
cana-356	1274	1	journal	journal	NOUN
cana-356	1274	2	of	of	ADP
cana-356	1274	3	mathematics	mathematic	NOUN
cana-356	1274	4	,	,	PUNCT
cana-356	1274	5	2014	2014	NUM
cana-356	1274	6	.	.	PUNCT
cana-356	1275	1	[	[	X
cana-356	1275	2	5	5	NUM
cana-356	1275	3	]	]	SYM
cana-356	1275	4	devi	devi	X
cana-356	1275	5	,	,	PUNCT
cana-356	1275	6	m.	m.	NOUN
cana-356	1275	7	(	(	PUNCT
cana-356	1275	8	2018	2018	NUM
cana-356	1275	9	)	)	PUNCT
cana-356	1275	10	.	.	PUNCT
cana-356	1276	1	fuzzy	fuzzy	ADJ
cana-356	1276	2	anti	anti	ADJ
cana-356	1276	3	-	-	ADJ
cana-356	1276	4	magic	magic	ADJ
cana-356	1276	5	labeling	labeling	NOUN
cana-356	1276	6	on	on	ADP
cana-356	1276	7	some	some	DET
cana-356	1276	8	graphs	graph	NOUN
cana-356	1276	9	.	.	PUNCT
cana-356	1277	1	kongunadu	kongunadu	ADJ
cana-356	1277	2	research	research	PROPN
cana-356	1277	3	journal	journal	PROPN
cana-356	1277	4	,	,	PUNCT
cana-356	1277	5	5(1	5(1	NUM
cana-356	1277	6	)	)	PUNCT
cana-356	1277	7	,	,	PUNCT
cana-356	1277	8	8	8	NUM
cana-356	1277	9	-	-	SYM
cana-356	1277	10	14	14	NUM
cana-356	1277	11	.	.	PUNCT
cana-356	1278	1	[	[	X
cana-356	1278	2	6	6	NUM
cana-356	1278	3	]	]	PUNCT
cana-356	1278	4	bibi	bibi	NOUN
cana-356	1278	5	,	,	PUNCT
cana-356	1278	6	k.	k.	PROPN
cana-356	1278	7	a.	a.	PROPN
cana-356	1278	8	,	,	PUNCT
cana-356	1278	9	&	&	CCONJ
cana-356	1278	10	devi	devi	PROPN
cana-356	1278	11	,	,	PUNCT
cana-356	1278	12	m.	m.	NOUN
cana-356	1278	13	(	(	PUNCT
cana-356	1278	14	2017	2017	NUM
cana-356	1278	15	)	)	PUNCT
cana-356	1278	16	.	.	PUNCT
cana-356	1279	1	a	a	DET
cana-356	1279	2	note	note	NOUN
cana-356	1279	3	on	on	ADP
cana-356	1279	4	fuzzy	fuzzy	ADJ
cana-356	1279	5	vertex	vertex	NOUN
cana-356	1279	6	graceful	graceful	ADJ
cana-356	1279	7	labeling	labeling	NOUN
cana-356	1279	8	on	on	ADP
cana-356	1279	9	some	some	DET
cana-356	1279	10	special	special	ADJ
cana-356	1279	11	graphs	graph	NOUN
cana-356	1279	12	.	.	PUNCT
cana-356	1280	1	international	international	ADJ
cana-356	1280	2	journal	journal	NOUN
cana-356	1280	3	of	of	ADP
cana-356	1280	4	advanced	advanced	ADJ
cana-356	1280	5	research	research	NOUN
cana-356	1280	6	in	in	ADP
cana-356	1280	7	computer	computer	NOUN
cana-356	1280	8	science	science	NOUN
cana-356	1280	9	,	,	PUNCT
cana-356	1280	10	8(6	8(6	NUM
cana-356	1280	11	)	)	PUNCT
cana-356	1280	12	,	,	PUNCT
cana-356	1280	13	175	175	NUM
cana-356	1280	14	-	-	SYM
cana-356	1280	15	180	180	NUM
cana-356	1280	16	.	.	PUNCT
cana-356	1281	1	[	[	X
cana-356	1281	2	7	7	NUM
cana-356	1281	3	]	]	X
cana-356	1281	4	bibi	bibi	NOUN
cana-356	1281	5	,	,	PUNCT
cana-356	1281	6	k.	k.	PROPN
cana-356	1281	7	a.	a.	PROPN
cana-356	1281	8	,	,	PUNCT
cana-356	1281	9	&	&	CCONJ
cana-356	1281	10	devi	devi	PROPN
cana-356	1281	11	,	,	PUNCT
cana-356	1281	12	m.	m.	NOUN
cana-356	1281	13	(	(	PUNCT
cana-356	1281	14	2017	2017	NUM
cana-356	1281	15	)	)	PUNCT
cana-356	1281	16	.	.	PUNCT
cana-356	1282	1	fuzzy	fuzzy	ADJ
cana-356	1282	2	bi	bi	ADJ
cana-356	1282	3	-	-	ADJ
cana-356	1282	4	magic	magic	ADJ
cana-356	1282	5	labeling	labeling	NOUN
cana-356	1282	6	on	on	ADP
cana-356	1282	7	cycle	cycle	NOUN
cana-356	1282	8	graph	graph	NOUN
cana-356	1282	9	and	and	CCONJ
cana-356	1282	10	star	star	NOUN
cana-356	1282	11	graph	graph	NOUN
cana-356	1282	12	.	.	PUNCT
cana-356	1283	1	global	global	ADJ
cana-356	1283	2	journal	journal	PROPN
cana-356	1283	3	of	of	ADP
cana-356	1283	4	pure	pure	ADJ
cana-356	1283	5	and	and	CCONJ
cana-356	1283	6	applied	applied	ADJ
cana-356	1283	7	mathematics	mathematic	NOUN
cana-356	1283	8	,	,	PUNCT
cana-356	1283	9	13(6	13(6	PROPN
cana-356	1283	10	)	)	PUNCT
cana-356	1283	11	,	,	PUNCT
cana-356	1283	12	1975	1975	NUM
cana-356	1283	13	-	-	SYM
cana-356	1283	14	1985	1985	NUM
cana-356	1283	15	.	.	PUNCT
cana-356	1284	1	[	[	X
cana-356	1284	2	8	8	NUM
cana-356	1284	3	]	]	SYM
cana-356	1284	4	babujee	babujee	NOUN
cana-356	1284	5	,	,	PUNCT
cana-356	1284	6	j.	j.	PROPN
cana-356	1284	7	b.	b.	PROPN
cana-356	1284	8	,	,	PUNCT
cana-356	1284	9	&	&	CCONJ
cana-356	1284	10	vishnupriya	vishnupriya	PROPN
cana-356	1284	11	,	,	PUNCT
cana-356	1284	12	v.	v.	PROPN
cana-356	1284	13	(	(	PUNCT
cana-356	1284	14	2005	2005	NUM
cana-356	1284	15	)	)	PUNCT
cana-356	1284	16	.	.	PUNCT
cana-356	1285	1	edge	edge	VERB
cana-356	1285	2	bimagic	bimagic	ADJ
cana-356	1285	3	labelling	labelling	NOUN
cana-356	1285	4	in	in	ADP
cana-356	1285	5	graphs	graph	NOUN
cana-356	1285	6	.	.	PUNCT
cana-356	1286	1	acta	acta	PROPN
cana-356	1286	2	ciencia	ciencia	PROPN
cana-356	1286	3	indica	indica	PROPN
cana-356	1286	4	mathematics	mathematics	PROPN
cana-356	1286	5	,	,	PUNCT
cana-356	1286	6	31(3	31(3	NUM
cana-356	1286	7	)	)	PUNCT
cana-356	1286	8	,	,	PUNCT
cana-356	1286	9	741	741	NUM
cana-356	1286	10	.	.	PUNCT
cana-356	1287	1	[	[	X
cana-356	1287	2	9	9	NUM
cana-356	1287	3	]	]	X
cana-356	1287	4	sujatha	sujatha	NOUN
cana-356	1287	5	,	,	PUNCT
cana-356	1287	6	n.	n.	PROPN
cana-356	1287	7	,	,	PUNCT
cana-356	1287	8	&	&	CCONJ
cana-356	1287	9	dharuman	dharuman	NOUN
cana-356	1287	10	,	,	PUNCT
cana-356	1287	11	c.	c.	NOUN
cana-356	1287	12	(	(	PUNCT
cana-356	1287	13	2019	2019	NUM
cana-356	1287	14	)	)	PUNCT
cana-356	1287	15	.	.	PUNCT
cana-356	1288	1	k.	k.	PROPN
cana-356	1288	2	thirusangu,“triangular	thirusangu,“triangular	PROPN
cana-356	1289	1	fuzzy	fuzzy	ADJ
cana-356	1289	2	antimagic	antimagic	ADJ
cana-356	1289	3	labeling	labeling	NOUN
cana-356	1289	4	on	on	ADP
cana-356	1289	5	some	some	DET
cana-356	1289	6	special	special	ADJ
cana-356	1289	7	graphs	graph	NOUN
cana-356	1289	8	”	"	PUNCT
cana-356	1289	9	.	.	PUNCT
cana-356	1290	1	international	international	ADJ
cana-356	1290	2	journal	journal	PROPN
cana-356	1290	3	of	of	ADP
cana-356	1290	4	advanced	advanced	ADJ
cana-356	1290	5	science	science	NOUN
cana-356	1290	6	and	and	CCONJ
cana-356	1290	7	technology	technology	NOUN
cana-356	1290	8	,	,	PUNCT
cana-356	1290	9	28(16	28(16	NOUN
cana-356	1290	10	)	)	PUNCT
cana-356	1290	11	,	,	PUNCT
cana-356	1290	12	1220	1220	NUM
cana-356	1290	13	-	-	SYM
cana-356	1290	14	1227	1227	NUM
cana-356	1290	15	.	.	PUNCT
cana-356	1291	1	[	[	X
cana-356	1291	2	10	10	NUM
cana-356	1291	3	]	]	X
cana-356	1291	4	thirusangu	thirusangu	NOUN
cana-356	1291	5	,	,	PUNCT
cana-356	1291	6	k.	k.	PROPN
cana-356	1291	7	,	,	PUNCT
cana-356	1291	8	&	&	CCONJ
cana-356	1291	9	jeevitha	jeevitha	PROPN
cana-356	1291	10	,	,	PUNCT
cana-356	1291	11	d.	d.	PROPN
cana-356	1291	12	(	(	PUNCT
cana-356	1291	13	2018	2018	NUM
cana-356	1291	14	)	)	PUNCT
cana-356	1291	15	.	.	PUNCT
cana-356	1292	1	fuzzy	fuzzy	ADJ
cana-356	1292	2	bimagic	bimagic	NOUN
cana-356	1292	3	and	and	CCONJ
cana-356	1292	4	antimagic	antimagic	ADJ
cana-356	1292	5	labeling	labeling	NOUN
cana-356	1292	6	in	in	ADP
cana-356	1292	7	star	star	NOUN
cana-356	1292	8	graphs	graph	NOUN
cana-356	1292	9	.	.	PUNCT
cana-356	1293	1	international	international	ADJ
cana-356	1293	2	journal	journal	PROPN
cana-356	1293	3	of	of	ADP
cana-356	1293	4	mathematics	mathematics	NOUN
cana-356	1293	5	trends	trend	NOUN
cana-356	1293	6	and	and	CCONJ
cana-356	1293	7	technology	technology	NOUN
cana-356	1293	8	(	(	PUNCT
cana-356	1293	9	ijmtt	ijmtt	ADJ
cana-356	1293	10	)	)	PUNCT
cana-356	1293	11	,	,	PUNCT
cana-356	1293	12	special	special	ADJ
cana-356	1293	13	issue	issue	NOUN
cana-356	1293	14	,	,	PUNCT
cana-356	1293	15	41	41	NUM
cana-356	1293	16	-	-	SYM
cana-356	1293	17	43	43	NUM
cana-356	1293	18	.	.	PUNCT
cana-356	1294	1	[	[	X
cana-356	1294	2	11	11	NUM
cana-356	1294	3	]	]	X
cana-356	1294	4	karthikkeyan	karthikkeyan	PROPN
cana-356	1294	5	rj	rj	PROPN
cana-356	1294	6	.	.	PUNCT
cana-356	1294	7	(	(	PUNCT
cana-356	1294	8	2017	2017	NUM
cana-356	1294	9	)	)	PUNCT
cana-356	1294	10	.	.	PUNCT
cana-356	1295	1	fuzzy	fuzzy	ADJ
cana-356	1295	2	graceful	graceful	ADJ
cana-356	1295	3	graphs	graph	NOUN
cana-356	1295	4	.	.	PUNCT
cana-356	1296	1	advances	advance	NOUN
cana-356	1296	2	in	in	ADP
cana-356	1296	3	fuzzy	fuzzy	ADJ
cana-356	1296	4	mathematics	mathematic	NOUN
cana-356	1296	5	,	,	PUNCT
cana-356	1296	6	12(2	12(2	NUM
cana-356	1296	7	)	)	PUNCT
cana-356	1296	8	,	,	PUNCT
cana-356	1296	9	309317	309317	NUM
cana-356	1296	10	.	.	PUNCT
cana-356	1297	1	[	[	X
cana-356	1297	2	12	12	NUM
cana-356	1297	3	]	]	X
cana-356	1297	4	malini	malini	PROPN
cana-356	1297	5	ss	ss	PROPN
cana-356	1297	6	,	,	PUNCT
cana-356	1297	7	prathika	prathika	PROPN
cana-356	1297	8	a.	a.	PROPN
cana-356	1297	9	(	(	PUNCT
cana-356	1297	10	2020	2020	NUM
cana-356	1297	11	)	)	PUNCT
cana-356	1297	12	.	.	PUNCT
cana-356	1298	1	labeling	labeling	NOUN
cana-356	1298	2	on	on	ADP
cana-356	1298	3	m	m	ADJ
cana-356	1298	4	-	-	ADJ
cana-356	1298	5	fuzzy	fuzzy	ADJ
cana-356	1298	6	graph	graph	NOUN
cana-356	1298	7	.	.	PUNCT
cana-356	1299	1	journal	journal	NOUN
cana-356	1299	2	of	of	ADP
cana-356	1299	3	engineering	engineering	NOUN
cana-356	1299	4	sciences	science	NOUN
cana-356	1299	5	,	,	PUNCT
cana-356	1299	6	11(6	11(6	NUM
cana-356	1299	7	)	)	PUNCT
cana-356	1299	8	,	,	PUNCT
cana-356	1299	9	1131	1131	NUM
cana-356	1299	10	-	-	SYM
cana-356	1299	11	1137	1137	NUM
cana-356	1299	12	.	.	PUNCT
cana-356	1300	1	[	[	X
cana-356	1300	2	13	13	NUM
cana-356	1300	3	]	]	PUNCT
cana-356	1300	4	hartsfield	hartsfield	PROPN
cana-356	1300	5	,	,	PUNCT
cana-356	1300	6	n.	n.	PROPN
cana-356	1300	7	,	,	PUNCT
cana-356	1300	8	&	&	CCONJ
cana-356	1300	9	ringel	ringel	NOUN
cana-356	1300	10	,	,	PUNCT
cana-356	1300	11	g.	g.	PROPN
cana-356	1300	12	(	(	PUNCT
cana-356	1300	13	1990	1990	NUM
cana-356	1300	14	)	)	PUNCT
cana-356	1300	15	.	.	PUNCT
cana-356	1301	1	pearls	pearl	NOUN
cana-356	1301	2	in	in	ADP
cana-356	1301	3	graph	graph	NOUN
cana-356	1301	4	theory	theory	NOUN
cana-356	1301	5	.	.	PUNCT
cana-356	1302	1	a	a	DET
cana-356	1302	2	comprehensive	comprehensive	ADJ
cana-356	1302	3	introduction	introduction	NOUN
cana-356	1302	4	,	,	PUNCT
cana-356	1302	5	revised	revise	VERB
cana-356	1302	6	and	and	CCONJ
cana-356	1302	7	augmented	augment	VERB
cana-356	1302	8	.	.	PUNCT
cana-356	1303	1	academic	academic	ADJ
cana-356	1303	2	press	press	NOUN
cana-356	1303	3	,	,	PUNCT
cana-356	1303	4	san	san	PROPN
cana-356	1303	5	diego	diego	PROPN
cana-356	1303	6	,	,	PUNCT
cana-356	1303	7	1994	1994	NUM
cana-356	1303	8	,	,	PUNCT
cana-356	1303	9	80	80	NUM
cana-356	1303	10	-	-	SYM
cana-356	1303	11	81	81	NUM
cana-356	1303	12	.	.	PUNCT
cana-356	1304	1	[	[	X
cana-356	1304	2	14	14	NUM
cana-356	1304	3	]	]	X
cana-356	1304	4	bharathi	bharathi	NOUN
cana-356	1304	5	,	,	PUNCT
cana-356	1304	6	t.	t.	PROPN
cana-356	1304	7	,	,	PUNCT
cana-356	1304	8	&	&	CCONJ
cana-356	1304	9	felixia	felixia	PROPN
cana-356	1304	10	,	,	PUNCT
cana-356	1304	11	s.	s.	PROPN
cana-356	1304	12	(	(	PUNCT
cana-356	1304	13	2021	2021	NUM
cana-356	1304	14	)	)	PUNCT
cana-356	1304	15	.	.	PUNCT
cana-356	1305	1	a	a	DET
cana-356	1305	2	fuzzy	fuzzy	ADJ
cana-356	1305	3	proper	proper	ADJ
cana-356	1305	4	bi	bi	ADJ
cana-356	1305	5	-	-	ADJ
cana-356	1305	6	magic	magic	ADJ
cana-356	1305	7	labeling	labeling	NOUN
cana-356	1305	8	on	on	ADP
cana-356	1305	9	tadpole	tadpole	NOUN
cana-356	1305	10	graph	graph	NOUN
cana-356	1305	11	.	.	PUNCT
cana-356	1306	1	journal	journal	PROPN
cana-356	1306	2	of	of	ADP
cana-356	1306	3	computational	computational	PROPN
cana-356	1306	4	mathematica	mathematica	PROPN
cana-356	1306	5	,	,	PUNCT
cana-356	1306	6	5(1	5(1	NUM
cana-356	1306	7	)	)	PUNCT
cana-356	1306	8	,	,	PUNCT
cana-356	1306	9	117	117	NUM
cana-356	1306	10	-	-	SYM
cana-356	1306	11	122	122	NUM
cana-356	1306	12	.	.	PUNCT
cana-356	1307	1	[	[	X
cana-356	1307	2	15	15	NUM
cana-356	1307	3	]	]	X
cana-356	1307	4	prathap	prathap	NOUN
cana-356	1307	5	,	,	PUNCT
cana-356	1307	6	d.	d.	PROPN
cana-356	1307	7	,	,	PUNCT
cana-356	1307	8	and	and	CCONJ
cana-356	1307	9	bansal	bansal	NOUN
cana-356	1307	10	,	,	PUNCT
cana-356	1307	11	a.	a.	NOUN
cana-356	1307	12	2023	2023	NUM
cana-356	1307	13	.	.	PUNCT
cana-356	1308	1	on	on	ADP
cana-356	1308	2	bi	bi	ADJ
cana-356	1308	3	-	-	ADJ
cana-356	1308	4	magic	magic	ADJ
cana-356	1308	5	labelings	labeling	NOUN
cana-356	1308	6	of	of	ADP
cana-356	1308	7	certain	certain	ADJ
cana-356	1308	8	graphs	graph	NOUN
cana-356	1308	9	involving	involve	VERB
cana-356	1308	10	cycles	cycle	NOUN
cana-356	1308	11	.	.	PUNCT
cana-356	1309	1	journal	journal	PROPN
cana-356	1309	2	of	of	ADP
cana-356	1309	3	data	datum	NOUN
cana-356	1309	4	acquisition	acquisition	NOUN
cana-356	1309	5	and	and	CCONJ
cana-356	1309	6	processing	processing	NOUN
cana-356	1309	7	,	,	PUNCT
cana-356	1309	8	38(2	38(2	NOUN
cana-356	1309	9	)	)	PUNCT
cana-356	1309	10	,	,	PUNCT
cana-356	1309	11	2975	2975	NUM
cana-356	1309	12	-	-	SYM
cana-356	1309	13	2982	2982	NUM
cana-356	1309	14	.	.	PUNCT