id	sid	tid	token	lemma	pos
cana-4727	1	1	communications	communication	NOUN
cana-4727	1	2	on	on	ADP
cana-4727	1	3	applied	apply	VERB
cana-4727	1	4	nonlinear	nonlinear	ADJ
cana-4727	1	5	analysis	analysis	NOUN
cana-4727	1	6	issn	issn	NOUN
cana-4727	1	7	:	:	PUNCT
cana-4727	1	8	1074	1074	NUM
cana-4727	1	9	-	-	PUNCT
cana-4727	1	10	133x	133x	NUM
cana-4727	1	11	vol	vol	VERB
cana-4727	1	12	32	32	NUM
cana-4727	1	13	no	no	NOUN
cana-4727	1	14	.	.	PUNCT
cana-4727	2	1	10s	10	NOUN
cana-4727	2	2	(	(	PUNCT
cana-4727	2	3	2025	2025	NUM
cana-4727	2	4	)	)	PUNCT
cana-4727	2	5	202	202	NUM
cana-4727	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	2	7	graph	graph	NOUN
cana-4727	2	8	theory	theory	NOUN
cana-4727	2	9	:	:	PUNCT
cana-4727	2	10	fundamental	fundamental	ADJ
cana-4727	2	11	and	and	CCONJ
cana-4727	2	12	applications	application	NOUN
cana-4727	2	13	in	in	ADP
cana-4727	2	14	mathematics	mathematics	PROPN
cana-4727	2	15	j.	j.	PROPN
cana-4727	2	16	satish	satish	PROPN
cana-4727	2	17	kumara	kumara	PROPN
cana-4727	2	18	*	*	PROPN
cana-4727	2	19	,	,	PUNCT
cana-4727	2	20	b.	b.	PROPN
cana-4727	2	21	archanab	archanab	PROPN
cana-4727	2	22	,	,	PUNCT
cana-4727	2	23	k.	k.	PROPN
cana-4727	2	24	muralidharana	muralidharana	PROPN
cana-4727	2	25	,	,	PUNCT
cana-4727	2	26	r.	r.	PROPN
cana-4727	2	27	srija	srija	PROPN
cana-4727	2	28	a.	a.	PROPN
cana-4727	2	29	department	department	PROPN
cana-4727	2	30	of	of	ADP
cana-4727	2	31	science	science	NOUN
cana-4727	2	32	and	and	CCONJ
cana-4727	2	33	humanities	humanity	NOUN
cana-4727	2	34	(	(	PUNCT
cana-4727	2	35	mathematics	mathematics	PROPN
cana-4727	2	36	)	)	PUNCT
cana-4727	2	37	,	,	PUNCT
cana-4727	2	38	dhaanish	dhaanish	PROPN
cana-4727	2	39	ahmed	ahmed	PROPN
cana-4727	2	40	institute	institute	PROPN
cana-4727	2	41	of	of	ADP
cana-4727	2	42	technology	technology	PROPN
cana-4727	2	43	,	,	PUNCT
cana-4727	2	44	coimbatore	coimbatore	PROPN
cana-4727	2	45	641105	641105	NUM
cana-4727	2	46	,	,	PUNCT
cana-4727	2	47	india	india	PROPN
cana-4727	2	48	.	.	PUNCT
cana-4727	3	1	b.	b.	PROPN
cana-4727	3	2	department	department	PROPN
cana-4727	3	3	of	of	ADP
cana-4727	3	4	science	science	NOUN
cana-4727	3	5	and	and	CCONJ
cana-4727	3	6	humanities	humanity	NOUN
cana-4727	3	7	(	(	PUNCT
cana-4727	3	8	chemistry	chemistry	NOUN
cana-4727	3	9	)	)	PUNCT
cana-4727	3	10	,	,	PUNCT
cana-4727	3	11	faculty	faculty	NOUN
cana-4727	3	12	of	of	ADP
cana-4727	3	13	engineering	engineering	PROPN
cana-4727	3	14	,	,	PUNCT
cana-4727	3	15	karpagam	karpagam	PROPN
cana-4727	3	16	academy	academy	PROPN
cana-4727	3	17	of	of	ADP
cana-4727	3	18	higher	high	ADJ
cana-4727	3	19	education	education	NOUN
cana-4727	3	20	,	,	PUNCT
cana-4727	3	21	coimbatore641021	coimbatore641021	PROPN
cana-4727	3	22	,	,	PUNCT
cana-4727	3	23	india	india	PROPN
cana-4727	3	24	.	.	PUNCT
cana-4727	4	1	*	*	PUNCT
cana-4727	4	2	corresponding	correspond	VERB
cana-4727	4	3	author	author	NOUN
cana-4727	4	4	:	:	PUNCT
cana-4727	4	5	drarchanasatish08@gmail.com	drarchanasatish08@gmail.com	X
cana-4727	4	6	article	article	NOUN
cana-4727	4	7	history	history	NOUN
cana-4727	4	8	:	:	PUNCT
cana-4727	4	9	received	receive	VERB
cana-4727	4	10	:	:	PUNCT
cana-4727	4	11	12	12	NUM
cana-4727	4	12	-	-	SYM
cana-4727	4	13	01	01	NUM
cana-4727	4	14	-	-	PUNCT
cana-4727	4	15	2025	2025	NUM
cana-4727	4	16	revised	revise	VERB
cana-4727	4	17	:	:	PUNCT
cana-4727	4	18	15	15	NUM
cana-4727	4	19	-	-	NUM
cana-4727	4	20	02	02	NUM
cana-4727	4	21	-	-	PUNCT
cana-4727	4	22	2025	2025	NUM
cana-4727	4	23	accepted	accept	VERB
cana-4727	4	24	:	:	PUNCT
cana-4727	4	25	01	01	NUM
cana-4727	4	26	-	-	SYM
cana-4727	4	27	03	03	NUM
cana-4727	4	28	-	-	PUNCT
cana-4727	4	29	2025	2025	NUM
cana-4727	4	30	abstract	abstract	NOUN
cana-4727	4	31	:	:	PUNCT
cana-4727	4	32	mathematics	mathematic	NOUN
cana-4727	4	33	forms	form	NOUN
cana-4727	4	34	graph	graph	NOUN
cana-4727	4	35	theory	theory	NOUN
cana-4727	4	36	as	as	ADP
cana-4727	4	37	its	its	PRON
cana-4727	4	38	fundamental	fundamental	ADJ
cana-4727	4	39	division	division	NOUN
cana-4727	4	40	to	to	PART
cana-4727	4	41	study	study	VERB
cana-4727	4	42	relationships	relationship	NOUN
cana-4727	4	43	between	between	ADP
cana-4727	4	44	objects	object	NOUN
cana-4727	4	45	which	which	PRON
cana-4727	4	46	exist	exist	VERB
cana-4727	4	47	as	as	ADP
cana-4727	4	48	nodes	node	NOUN
cana-4727	4	49	and	and	CCONJ
cana-4727	4	50	edges	edge	NOUN
cana-4727	4	51	.	.	PUNCT
cana-4727	5	1	euler	euler	PROPN
cana-4727	5	2	's	's	PART
cana-4727	5	3	seven	seven	NUM
cana-4727	5	4	bridges	bridge	NOUN
cana-4727	5	5	of	of	ADP
cana-4727	5	6	königsberg	königsberg	PROPN
cana-4727	5	7	research	research	PROPN
cana-4727	5	8	marked	mark	VERB
cana-4727	5	9	the	the	DET
cana-4727	5	10	origin	origin	NOUN
cana-4727	5	11	of	of	ADP
cana-4727	5	12	what	what	PRON
cana-4727	5	13	transformed	transform	VERB
cana-4727	5	14	into	into	ADP
cana-4727	5	15	an	an	DET
cana-4727	5	16	essential	essential	ADJ
cana-4727	5	17	mathematical	mathematical	ADJ
cana-4727	5	18	field	field	NOUN
cana-4727	5	19	that	that	PRON
cana-4727	5	20	includes	include	VERB
cana-4727	5	21	computer	computer	NOUN
cana-4727	5	22	science	science	NOUN
cana-4727	5	23	and	and	CCONJ
cana-4727	5	24	network	network	NOUN
cana-4727	5	25	design	design	NOUN
cana-4727	5	26	and	and	CCONJ
cana-4727	5	27	biological	biological	ADJ
cana-4727	5	28	applications	application	NOUN
cana-4727	5	29	and	and	CCONJ
cana-4727	5	30	other	other	ADJ
cana-4727	5	31	computational	computational	ADJ
cana-4727	5	32	domains	domain	NOUN
cana-4727	5	33	.	.	PUNCT
cana-4727	6	1	future	future	ADJ
cana-4727	6	2	developments	development	NOUN
cana-4727	6	3	in	in	ADP
cana-4727	6	4	the	the	DET
cana-4727	6	5	field	field	NOUN
cana-4727	6	6	and	and	CCONJ
cana-4727	6	7	current	current	ADJ
cana-4727	6	8	innovations	innovation	NOUN
cana-4727	6	9	get	get	VERB
cana-4727	6	10	attention	attention	NOUN
cana-4727	6	11	in	in	ADP
cana-4727	6	12	the	the	DET
cana-4727	6	13	study	study	NOUN
cana-4727	6	14	.	.	PUNCT
cana-4727	7	1	keywords	keyword	NOUN
cana-4727	7	2	:	:	PUNCT
cana-4727	7	3	graph	graph	NOUN
cana-4727	7	4	theory	theory	NOUN
cana-4727	7	5	,	,	PUNCT
cana-4727	7	6	networks	network	NOUN
cana-4727	7	7	,	,	PUNCT
cana-4727	7	8	eulerian	eulerian	ADJ
cana-4727	7	9	paths	path	NOUN
cana-4727	7	10	,	,	PUNCT
cana-4727	7	11	hamiltonian	hamiltonian	ADJ
cana-4727	7	12	cycles	cycle	NOUN
cana-4727	7	13	,	,	PUNCT
cana-4727	7	14	applications	application	NOUN
cana-4727	7	15	,	,	PUNCT
cana-4727	7	16	mathematics	mathematics	PROPN
cana-4727	7	17	i.	i.	PROPN
cana-4727	7	18	introduction	introduction	NOUN
cana-4727	7	19	mathematics	mathematic	NOUN
cana-4727	7	20	includes	include	VERB
cana-4727	7	21	graph	graph	NOUN
cana-4727	7	22	theory	theory	NOUN
cana-4727	7	23	as	as	ADP
cana-4727	7	24	its	its	PRON
cana-4727	7	25	fundamental	fundamental	ADJ
cana-4727	7	26	division	division	NOUN
cana-4727	7	27	that	that	PRON
cana-4727	7	28	investigates	investigate	VERB
cana-4727	7	29	graphs	graph	NOUN
cana-4727	7	30	serving	serve	VERB
cana-4727	7	31	as	as	ADP
cana-4727	7	32	mathematical	mathematical	ADJ
cana-4727	7	33	structures	structure	NOUN
cana-4727	7	34	for	for	ADP
cana-4727	7	35	documenting	document	VERB
cana-4727	7	36	object	object	NOUN
cana-4727	7	37	-	-	PUNCT
cana-4727	7	38	to	to	ADP
cana-4727	7	39	-	-	PUNCT
cana-4727	7	40	object	object	NOUN
cana-4727	7	41	pairwise	pairwise	NOUN
cana-4727	7	42	relationships	relationship	NOUN
cana-4727	7	43	[	[	X
cana-4727	7	44	4	4	NUM
cana-4727	7	45	]	]	PUNCT
cana-4727	7	46	.	.	PUNCT
cana-4727	8	1	a	a	DET
cana-4727	8	2	graph	graph	NOUN
cana-4727	8	3	utilizes	utilize	VERB
cana-4727	8	4	both	both	DET
cana-4727	8	5	vertices	vertex	NOUN
cana-4727	8	6	(	(	PUNCT
cana-4727	8	7	nodes	node	NOUN
cana-4727	8	8	)	)	PUNCT
cana-4727	8	9	along	along	ADP
cana-4727	8	10	with	with	ADP
cana-4727	8	11	edges	edge	NOUN
cana-4727	8	12	(	(	PUNCT
cana-4727	8	13	connections	connection	NOUN
cana-4727	8	14	between	between	ADP
cana-4727	8	15	these	these	DET
cana-4727	8	16	nodes	node	NOUN
cana-4727	8	17	)	)	PUNCT
cana-4727	8	18	during	during	ADP
cana-4727	8	19	its	its	PRON
cana-4727	8	20	structure	structure	NOUN
cana-4727	8	21	.	.	PUNCT
cana-4727	9	1	researchers	researcher	NOUN
cana-4727	9	2	have	have	AUX
cana-4727	9	3	developed	develop	VERB
cana-4727	9	4	graph	graph	NOUN
cana-4727	9	5	theory	theory	NOUN
cana-4727	9	6	into	into	ADP
cana-4727	9	7	an	an	DET
cana-4727	9	8	essential	essential	ADJ
cana-4727	9	9	field	field	NOUN
cana-4727	9	10	of	of	ADP
cana-4727	9	11	study	study	NOUN
cana-4727	9	12	during	during	ADP
cana-4727	9	13	the	the	DET
cana-4727	9	14	18th	18th	ADJ
cana-4727	9	15	century	century	NOUN
cana-4727	9	16	which	which	PRON
cana-4727	9	17	now	now	ADV
cana-4727	9	18	serves	serve	VERB
cana-4727	9	19	multiple	multiple	ADJ
cana-4727	9	20	fields	field	NOUN
cana-4727	9	21	from	from	ADP
cana-4727	9	22	computer	computer	NOUN
cana-4727	9	23	science	science	NOUN
cana-4727	9	24	to	to	ADP
cana-4727	9	25	operations	operation	NOUN
cana-4727	9	26	research	research	NOUN
cana-4727	9	27	to	to	ADP
cana-4727	9	28	biology	biology	NOUN
cana-4727	9	29	and	and	CCONJ
cana-4727	9	30	social	social	ADJ
cana-4727	9	31	sciences	science	NOUN
cana-4727	10	1	[	[	X
cana-4727	10	2	1	1	NUM
cana-4727	10	3	-	-	SYM
cana-4727	10	4	2	2	NUM
cana-4727	10	5	]	]	PUNCT
cana-4727	10	6	.	.	PUNCT
cana-4727	11	1	in	in	ADP
cana-4727	11	2	1736	1736	NUM
cana-4727	11	3	leonhard	leonhard	PROPN
cana-4727	11	4	euler	euler	NOUN
cana-4727	11	5	published	publish	VERB
cana-4727	11	6	his	his	PRON
cana-4727	11	7	paper	paper	NOUN
cana-4727	11	8	about	about	ADP
cana-4727	11	9	the	the	DET
cana-4727	11	10	seven	seven	NUM
cana-4727	11	11	bridges	bridge	NOUN
cana-4727	11	12	of	of	ADP
cana-4727	11	13	königsberg	königsberg	PROPN
cana-4727	11	14	which	which	PRON
cana-4727	11	15	launched	launch	VERB
cana-4727	11	16	the	the	DET
cana-4727	11	17	foundation	foundation	NOUN
cana-4727	11	18	of	of	ADP
cana-4727	11	19	the	the	DET
cana-4727	11	20	graph	graph	NOUN
cana-4727	11	21	theory	theory	NOUN
cana-4727	11	22	discipline	discipline	NOUN
cana-4727	11	23	through	through	ADP
cana-4727	11	24	his	his	PRON
cana-4727	11	25	examination	examination	NOUN
cana-4727	11	26	of	of	ADP
cana-4727	11	27	a	a	DET
cana-4727	11	28	walking	walking	NOUN
cana-4727	11	29	challenge	challenge	NOUN
cana-4727	11	30	across	across	ADP
cana-4727	11	31	all	all	DET
cana-4727	11	32	city	city	NOUN
cana-4727	11	33	bridges	bridge	NOUN
cana-4727	11	34	once	once	ADV
cana-4727	11	35	.	.	PUNCT
cana-4727	12	1	through	through	ADP
cana-4727	12	2	his	his	PRON
cana-4727	12	3	research	research	NOUN
cana-4727	12	4	euler	euler	NOUN
cana-4727	12	5	established	establish	VERB
cana-4727	12	6	the	the	DET
cana-4727	12	7	fundamental	fundamental	ADJ
cana-4727	12	8	basis	basis	NOUN
cana-4727	12	9	of	of	ADP
cana-4727	12	10	graph	graph	NOUN
cana-4727	12	11	theory	theory	NOUN
cana-4727	12	12	as	as	ADP
cana-4727	12	13	an	an	DET
cana-4727	12	14	academic	academic	ADJ
cana-4727	12	15	mathematical	mathematical	ADJ
cana-4727	12	16	discipline	discipline	NOUN
cana-4727	12	17	[	[	X
cana-4727	12	18	20	20	NUM
cana-4727	12	19	-	-	SYM
cana-4727	12	20	25	25	NUM
cana-4727	12	21	]	]	PUNCT
cana-4727	12	22	.	.	PUNCT
cana-4727	13	1	a.	a.	NOUN
cana-4727	13	2	importance	importance	NOUN
cana-4727	13	3	and	and	CCONJ
cana-4727	13	4	applications	application	NOUN
cana-4727	13	5	of	of	ADP
cana-4727	13	6	graph	graph	NOUN
cana-4727	13	7	theory	theory	NOUN
cana-4727	13	8	the	the	DET
cana-4727	13	9	discipline	discipline	NOUN
cana-4727	13	10	of	of	ADP
cana-4727	13	11	graph	graph	NOUN
cana-4727	13	12	theory	theory	NOUN
cana-4727	13	13	maintains	maintain	VERB
cana-4727	13	14	essential	essential	ADJ
cana-4727	13	15	functions	function	NOUN
cana-4727	13	16	in	in	ADP
cana-4727	13	17	both	both	DET
cana-4727	13	18	mathematical	mathematical	ADJ
cana-4727	13	19	concepts	concept	NOUN
cana-4727	13	20	alongside	alongside	ADP
cana-4727	13	21	actual	actual	ADJ
cana-4727	13	22	real	real	ADJ
cana-4727	13	23	-	-	PUNCT
cana-4727	13	24	life	life	NOUN
cana-4727	13	25	usage	usage	NOUN
cana-4727	13	26	[	[	X
cana-4727	13	27	5	5	NUM
cana-4727	13	28	]	]	PUNCT
cana-4727	13	29	.	.	PUNCT
cana-4727	14	1	people	people	NOUN
cana-4727	14	2	utilize	utilize	VERB
cana-4727	14	3	this	this	DET
cana-4727	14	4	concept	concept	NOUN
cana-4727	14	5	across	across	ADP
cana-4727	14	6	various	various	ADJ
cana-4727	14	7	domains	domain	NOUN
cana-4727	14	8	through	through	ADP
cana-4727	14	9	these	these	DET
cana-4727	14	10	major	major	ADJ
cana-4727	14	11	applications	application	NOUN
cana-4727	14	12	:	:	PUNCT
cana-4727	14	13	•	•	ADP
cana-4727	14	14	graph	graph	NOUN
cana-4727	14	15	theory	theory	NOUN
cana-4727	14	16	enables	enable	VERB
cana-4727	14	17	network	network	NOUN
cana-4727	14	18	designers	designer	NOUN
cana-4727	14	19	to	to	PART
cana-4727	14	20	build	build	VERB
cana-4727	14	21	connection	connection	NOUN
cana-4727	14	22	systems	system	NOUN
cana-4727	14	23	and	and	CCONJ
cana-4727	14	24	test	test	NOUN
cana-4727	14	25	internet	internet	NOUN
cana-4727	14	26	and	and	CCONJ
cana-4727	14	27	wireless	wireless	ADJ
cana-4727	14	28	communication	communication	NOUN
cana-4727	14	29	network	network	NOUN
cana-4727	14	30	performance	performance	NOUN
cana-4727	14	31	through	through	ADP
cana-4727	14	32	routing	routing	NOUN
cana-4727	14	33	protocol	protocol	NOUN
cana-4727	14	34	applications	application	NOUN
cana-4727	14	35	.	.	PUNCT
cana-4727	15	1	communications	communication	NOUN
cana-4727	15	2	on	on	ADP
cana-4727	15	3	applied	apply	VERB
cana-4727	15	4	nonlinear	nonlinear	ADJ
cana-4727	15	5	analysis	analysis	NOUN
cana-4727	15	6	issn	issn	NOUN
cana-4727	15	7	:	:	PUNCT
cana-4727	15	8	1074	1074	NUM
cana-4727	15	9	-	-	PUNCT
cana-4727	15	10	133x	133x	NUM
cana-4727	15	11	vol	vol	VERB
cana-4727	15	12	32	32	NUM
cana-4727	15	13	no	no	NOUN
cana-4727	15	14	.	.	PUNCT
cana-4727	16	1	10s	10	NOUN
cana-4727	16	2	(	(	PUNCT
cana-4727	16	3	2025	2025	NUM
cana-4727	16	4	)	)	PUNCT
cana-4727	16	5	203	203	NUM
cana-4727	16	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-4727	16	7	•	•	NOUN
cana-4727	16	8	thorough	thorough	ADJ
cana-4727	16	9	user	user	NOUN
cana-4727	16	10	connection	connection	NOUN
cana-4727	16	11	analysis	analysis	NOUN
cana-4727	16	12	and	and	CCONJ
cana-4727	16	13	information	information	NOUN
cana-4727	16	14	spread	spread	VERB
cana-4727	16	15	tracking	track	VERB
cana-4727	16	16	along	along	ADP
cana-4727	16	17	with	with	ADP
cana-4727	16	18	community	community	NOUN
cana-4727	16	19	recognition	recognition	NOUN
cana-4727	16	20	operations	operation	NOUN
cana-4727	16	21	on	on	ADP
cana-4727	16	22	social	social	ADJ
cana-4727	16	23	media	medium	NOUN
cana-4727	16	24	depend	depend	VERB
cana-4727	16	25	on	on	ADP
cana-4727	16	26	facebook	facebook	PROPN
cana-4727	16	27	,	,	PUNCT
cana-4727	16	28	twitter	twitter	NOUN
cana-4727	16	29	,	,	PUNCT
cana-4727	16	30	and	and	CCONJ
cana-4727	16	31	linkedin	linkedin	NOUN
cana-4727	16	32	implementing	implement	VERB
cana-4727	16	33	graph	graph	NOUN
cana-4727	16	34	theory	theory	NOUN
cana-4727	16	35	.	.	PUNCT
cana-4727	17	1	•	•	NOUN
cana-4727	17	2	the	the	DET
cana-4727	17	3	use	use	NOUN
cana-4727	17	4	of	of	ADP
cana-4727	17	5	graphs	graph	NOUN
cana-4727	17	6	in	in	ADP
cana-4727	17	7	operation	operation	NOUN
cana-4727	17	8	research	research	PROPN
cana-4727	17	9	&	&	CCONJ
cana-4727	17	10	optimization	optimization	NOUN
cana-4727	17	11	provides	provide	VERB
cana-4727	17	12	extensive	extensive	ADJ
cana-4727	17	13	capabilities	capability	NOUN
cana-4727	17	14	to	to	PART
cana-4727	17	15	optimize	optimize	VERB
cana-4727	17	16	delivery	delivery	NOUN
cana-4727	17	17	routes	route	NOUN
cana-4727	17	18	as	as	ADV
cana-4727	17	19	well	well	ADV
cana-4727	17	20	as	as	ADP
cana-4727	17	21	warehouse	warehouse	NOUN
cana-4727	17	22	management	management	NOUN
cana-4727	17	23	and	and	CCONJ
cana-4727	17	24	transport	transport	NOUN
cana-4727	17	25	networks	network	NOUN
cana-4727	17	26	.	.	PUNCT
cana-4727	18	1	•	•	NUM
cana-4727	18	2	medical	medical	ADJ
cana-4727	18	3	applications	application	NOUN
cana-4727	18	4	along	along	ADP
cana-4727	18	5	with	with	ADP
cana-4727	18	6	biological	biological	ADJ
cana-4727	18	7	procedures	procedure	NOUN
cana-4727	18	8	depend	depend	VERB
cana-4727	18	9	on	on	ADP
cana-4727	18	10	graph	graph	NOUN
cana-4727	18	11	modeling	modeling	NOUN
cana-4727	18	12	for	for	ADP
cana-4727	18	13	representing	represent	VERB
cana-4727	18	14	protein	protein	NOUN
cana-4727	18	15	linkages	linkage	NOUN
cana-4727	18	16	and	and	CCONJ
cana-4727	18	17	neural	neural	ADJ
cana-4727	18	18	patterns	pattern	NOUN
cana-4727	18	19	and	and	CCONJ
cana-4727	18	20	genetic	genetic	ADJ
cana-4727	18	21	rule	rule	NOUN
cana-4727	18	22	structures	structure	NOUN
cana-4727	18	23	.	.	PUNCT
cana-4727	19	1	b.	b.	PROPN
cana-4727	19	2	fundamental	fundamental	ADJ
cana-4727	19	3	graph	graph	NOUN
cana-4727	19	4	properties	property	NOUN
cana-4727	19	5	graph	graph	NOUN
cana-4727	19	6	types	type	NOUN
cana-4727	19	7	designate	designate	VERB
cana-4727	19	8	their	their	PRON
cana-4727	19	9	classification	classification	NOUN
cana-4727	19	10	by	by	ADP
cana-4727	19	11	examining	examine	VERB
cana-4727	19	12	both	both	DET
cana-4727	19	13	their	their	PRON
cana-4727	19	14	construction	construction	NOUN
cana-4727	19	15	characteristics	characteristic	NOUN
cana-4727	19	16	and	and	CCONJ
cana-4727	19	17	properties	property	NOUN
cana-4727	19	18	.	.	PUNCT
cana-4727	20	1	some	some	DET
cana-4727	20	2	important	important	ADJ
cana-4727	20	3	classifications	classification	NOUN
cana-4727	20	4	include	include	VERB
cana-4727	20	5	:	:	PUNCT
cana-4727	20	6	•	•	SCONJ
cana-4727	20	7	a	a	DET
cana-4727	20	8	graph	graph	NOUN
cana-4727	20	9	function	function	NOUN
cana-4727	20	10	determines	determine	VERB
cana-4727	20	11	its	its	PRON
cana-4727	20	12	direction	direction	NOUN
cana-4727	20	13	between	between	ADP
cana-4727	20	14	edges	edge	NOUN
cana-4727	20	15	by	by	ADP
cana-4727	20	16	having	have	VERB
cana-4727	20	17	directional	directional	ADJ
cana-4727	20	18	elements	element	NOUN
cana-4727	20	19	(	(	PUNCT
cana-4727	20	20	directed	direct	VERB
cana-4727	20	21	)	)	PUNCT
cana-4727	20	22	or	or	CCONJ
cana-4727	20	23	lacks	lack	VERB
cana-4727	20	24	directional	directional	ADJ
cana-4727	20	25	elements	element	NOUN
cana-4727	20	26	(	(	PUNCT
cana-4727	20	27	undirected	undirected	ADJ
cana-4727	20	28	)	)	PUNCT
cana-4727	20	29	.	.	PUNCT
cana-4727	21	1	•	•	NUM
cana-4727	21	2	weighted	weight	VERB
cana-4727	21	3	graphs	graph	NOUN
cana-4727	21	4	include	include	VERB
cana-4727	21	5	weighted	weight	VERB
cana-4727	21	6	edges	edge	NOUN
cana-4727	21	7	that	that	PRON
cana-4727	21	8	relate	relate	VERB
cana-4727	21	9	to	to	PART
cana-4727	21	10	cost	cost	NOUN
cana-4727	21	11	factors	factor	NOUN
cana-4727	21	12	and	and	CCONJ
cana-4727	21	13	probability	probability	NOUN
cana-4727	21	14	measures	measure	NOUN
cana-4727	21	15	and	and	CCONJ
cana-4727	21	16	distance	distance	NOUN
cana-4727	21	17	measures	measure	NOUN
cana-4727	21	18	.	.	PUNCT
cana-4727	22	1	•	•	NUM
cana-4727	22	2	acyclic	acyclic	ADJ
cana-4727	22	3	(	(	PUNCT
cana-4727	22	4	such	such	ADJ
cana-4727	22	5	as	as	ADP
cana-4727	22	6	tree	tree	NOUN
cana-4727	22	7	structures	structure	NOUN
cana-4727	22	8	)	)	PUNCT
cana-4727	22	9	represents	represent	VERB
cana-4727	22	10	the	the	DET
cana-4727	22	11	opposite	opposite	ADJ
cana-4727	22	12	family	family	NOUN
cana-4727	22	13	from	from	ADP
cana-4727	22	14	cyclic	cyclic	ADJ
cana-4727	22	15	structures	structure	NOUN
cana-4727	22	16	since	since	SCONJ
cana-4727	22	17	trees	tree	NOUN
cana-4727	22	18	lack	lack	VERB
cana-4727	22	19	cyclic	cyclic	NOUN
cana-4727	22	20	patterns	pattern	NOUN
cana-4727	22	21	while	while	SCONJ
cana-4727	22	22	cyclic	cyclic	ADJ
cana-4727	22	23	ones	one	NOUN
cana-4727	22	24	do	do	VERB
cana-4727	22	25	.	.	PUNCT
cana-4727	23	1	•	•	NOUN
cana-4727	23	2	every	every	DET
cana-4727	23	3	pair	pair	NOUN
cana-4727	23	4	of	of	ADP
cana-4727	23	5	nodes	node	NOUN
cana-4727	23	6	must	must	AUX
cana-4727	23	7	share	share	VERB
cana-4727	23	8	a	a	DET
cana-4727	23	9	path	path	NOUN
cana-4727	23	10	to	to	PART
cana-4727	23	11	classify	classify	VERB
cana-4727	23	12	the	the	DET
cana-4727	23	13	graph	graph	NOUN
cana-4727	23	14	as	as	ADV
cana-4727	23	15	connected	connect	VERB
cana-4727	23	16	or	or	CCONJ
cana-4727	23	17	disconnected	disconnected	ADJ
cana-4727	23	18	.	.	PUNCT
cana-4727	24	1	otherwise	otherwise	ADV
cana-4727	24	2	,	,	PUNCT
cana-4727	24	3	it	it	PRON
cana-4727	24	4	is	be	AUX
cana-4727	24	5	disconnected	disconnect	VERB
cana-4727	24	6	.	.	PUNCT
cana-4727	25	1	•	•	NUM
cana-4727	25	2	a	a	DET
cana-4727	25	3	graphic	graphic	ADJ
cana-4727	25	4	design	design	NOUN
cana-4727	25	5	is	be	AUX
cana-4727	25	6	planar	planar	ADJ
cana-4727	25	7	when	when	SCONJ
cana-4727	25	8	map	map	NOUN
cana-4727	25	9	drawing	draw	VERB
cana-4727	25	10	the	the	DET
cana-4727	25	11	nodes	node	NOUN
cana-4727	25	12	and	and	CCONJ
cana-4727	25	13	edges	edge	VERB
cana-4727	25	14	results	result	NOUN
cana-4727	25	15	in	in	ADP
cana-4727	25	16	a	a	DET
cana-4727	25	17	twodimensional	twodimensional	ADJ
cana-4727	25	18	space	space	NOUN
cana-4727	25	19	arrangement	arrangement	NOUN
cana-4727	25	20	with	with	ADP
cana-4727	25	21	all	all	DET
cana-4727	25	22	edges	edge	NOUN
cana-4727	25	23	connecting	connect	VERB
cana-4727	25	24	nodes	node	NOUN
cana-4727	25	25	without	without	ADP
cana-4727	25	26	crossing	cross	VERB
cana-4727	25	27	one	one	NUM
cana-4727	25	28	another	another	DET
cana-4727	25	29	.	.	PUNCT
cana-4727	26	1	•	•	NUM
cana-4727	26	2	research	research	NOUN
cana-4727	26	3	conducted	conduct	VERB
cana-4727	26	4	on	on	ADP
cana-4727	26	5	graph	graph	NOUN
cana-4727	26	6	properties	property	NOUN
cana-4727	26	7	enables	enable	VERB
cana-4727	26	8	scientists	scientist	NOUN
cana-4727	26	9	to	to	PART
cana-4727	26	10	create	create	VERB
cana-4727	26	11	efficient	efficient	ADJ
cana-4727	26	12	optimization	optimization	NOUN
cana-4727	26	13	processes	process	NOUN
cana-4727	26	14	and	and	CCONJ
cana-4727	26	15	pattern	pattern	NOUN
cana-4727	26	16	recognition	recognition	NOUN
cana-4727	26	17	solutions	solution	NOUN
cana-4727	26	18	and	and	CCONJ
cana-4727	26	19	classification	classification	NOUN
cana-4727	26	20	algorithms	algorithm	NOUN
cana-4727	26	21	.	.	PUNCT
cana-4727	27	1	c.	c.	NOUN
cana-4727	27	2	challenges	challenge	NOUN
cana-4727	27	3	and	and	CCONJ
cana-4727	27	4	open	open	ADJ
cana-4727	27	5	research	research	NOUN
cana-4727	27	6	areas	area	NOUN
cana-4727	27	7	•	•	NOUN
cana-4727	27	8	multiple	multiple	ADJ
cana-4727	27	9	challenges	challenge	NOUN
cana-4727	27	10	exist	exist	VERB
cana-4727	27	11	in	in	ADP
cana-4727	27	12	the	the	DET
cana-4727	27	13	field	field	NOUN
cana-4727	27	14	of	of	ADP
cana-4727	27	15	graph	graph	NOUN
cana-4727	27	16	theory	theory	NOUN
cana-4727	27	17	although	although	SCONJ
cana-4727	27	18	it	it	PRON
cana-4727	27	19	offers	offer	VERB
cana-4727	27	20	numerous	numerous	ADJ
cana-4727	27	21	uses	use	NOUN
cana-4727	27	22	in	in	ADP
cana-4727	27	23	practical	practical	ADJ
cana-4727	27	24	applications	application	NOUN
cana-4727	27	25	.	.	PUNCT
cana-4727	28	1	•	•	NUM
cana-4727	28	2	large	large	ADJ
cana-4727	28	3	-	-	PUNCT
cana-4727	28	4	scale	scale	NOUN
cana-4727	28	5	networks	network	NOUN
cana-4727	28	6	that	that	PRON
cana-4727	28	7	include	include	VERB
cana-4727	28	8	social	social	ADJ
cana-4727	28	9	networks	network	NOUN
cana-4727	28	10	and	and	CCONJ
cana-4727	28	11	molecular	molecular	ADJ
cana-4727	28	12	structures	structure	NOUN
cana-4727	28	13	operate	operate	VERB
cana-4727	28	14	with	with	ADP
cana-4727	28	15	millions	million	NOUN
cana-4727	28	16	or	or	CCONJ
cana-4727	28	17	billions	billion	NOUN
cana-4727	28	18	of	of	ADP
cana-4727	28	19	nodes	node	NOUN
cana-4727	28	20	hence	hence	ADV
cana-4727	28	21	necessitate	necessitate	ADJ
cana-4727	28	22	efficient	efficient	ADJ
cana-4727	28	23	computational	computational	ADJ
cana-4727	28	24	approaches	approach	NOUN
cana-4727	28	25	for	for	ADP
cana-4727	28	26	them	they	PRON
cana-4727	28	27	.	.	PUNCT
cana-4727	29	1	•	•	NOUN
cana-4727	29	2	graph	graph	NOUN
cana-4727	29	3	isomorphism	isomorphism	NOUN
cana-4727	29	4	problem	problem	NOUN
cana-4727	29	5	presents	present	VERB
cana-4727	29	6	mathematicians	mathematician	NOUN
cana-4727	29	7	with	with	ADP
cana-4727	29	8	a	a	DET
cana-4727	29	9	difficult	difficult	ADJ
cana-4727	29	10	computational	computational	ADJ
cana-4727	29	11	challenge	challenge	NOUN
cana-4727	29	12	because	because	SCONJ
cana-4727	29	13	it	it	PRON
cana-4727	29	14	requires	require	VERB
cana-4727	29	15	determination	determination	NOUN
cana-4727	29	16	of	of	ADP
cana-4727	29	17	graph	graph	NOUN
cana-4727	29	18	structure	structure	NOUN
cana-4727	29	19	equivalence	equivalence	NOUN
cana-4727	29	20	.	.	PUNCT
cana-4727	30	1	•	•	NOUN
cana-4727	30	2	dynamic	dynamic	ADJ
cana-4727	30	3	graph	graph	NOUN
cana-4727	30	4	algorithms	algorithm	NOUN
cana-4727	30	5	require	require	VERB
cana-4727	30	6	efficiency	efficiency	NOUN
cana-4727	30	7	to	to	PART
cana-4727	30	8	process	process	VERB
cana-4727	30	9	temporal	temporal	ADJ
cana-4727	30	10	pattern	pattern	NOUN
cana-4727	30	11	changes	change	NOUN
cana-4727	30	12	in	in	ADP
cana-4727	30	13	road	road	NOUN
cana-4727	30	14	networks	network	NOUN
cana-4727	30	15	as	as	ADV
cana-4727	30	16	well	well	ADV
cana-4727	30	17	as	as	ADP
cana-4727	30	18	communication	communication	NOUN
cana-4727	30	19	networks	network	NOUN
cana-4727	30	20	which	which	PRON
cana-4727	30	21	represent	represent	VERB
cana-4727	30	22	real	real	ADJ
cana-4727	30	23	-	-	PUNCT
cana-4727	30	24	world	world	NOUN
cana-4727	30	25	systems	system	NOUN
cana-4727	30	26	.	.	PUNCT
cana-4727	31	1	•	•	NOUN
cana-4727	31	2	this	this	DET
cana-4727	31	3	paper	paper	NOUN
cana-4727	31	4	delivers	deliver	VERB
cana-4727	31	5	an	an	DET
cana-4727	31	6	extensive	extensive	ADJ
cana-4727	31	7	study	study	NOUN
cana-4727	31	8	about	about	ADP
cana-4727	31	9	graph	graph	NOUN
cana-4727	31	10	theory	theory	NOUN
cana-4727	31	11	foundations	foundation	NOUN
cana-4727	31	12	as	as	ADV
cana-4727	31	13	well	well	ADV
cana-4727	31	14	as	as	ADP
cana-4727	31	15	current	current	ADJ
cana-4727	31	16	applications	application	NOUN
cana-4727	31	17	and	and	CCONJ
cana-4727	31	18	ongoing	ongoing	ADJ
cana-4727	31	19	difficulties	difficulty	NOUN
cana-4727	31	20	in	in	ADP
cana-4727	31	21	the	the	DET
cana-4727	31	22	field	field	NOUN
cana-4727	31	23	.	.	PUNCT
cana-4727	32	1	novelty	novelty	NOUN
cana-4727	32	2	and	and	CCONJ
cana-4727	32	3	contribution	contribution	NOUN
cana-4727	32	4	sequential	sequential	ADJ
cana-4727	32	5	research	research	NOUN
cana-4727	32	6	efforts	effort	NOUN
cana-4727	32	7	on	on	ADP
cana-4727	32	8	graph	graph	NOUN
cana-4727	32	9	theory	theory	NOUN
cana-4727	32	10	continue	continue	VERB
cana-4727	32	11	expanding	expand	VERB
cana-4727	32	12	its	its	PRON
cana-4727	32	13	practical	practical	ADJ
cana-4727	32	14	uses	use	NOUN
cana-4727	32	15	into	into	ADP
cana-4727	32	16	untapped	untapped	ADJ
cana-4727	32	17	fields	field	NOUN
cana-4727	32	18	.	.	PUNCT
cana-4727	33	1	the	the	DET
cana-4727	33	2	paper	paper	NOUN
cana-4727	33	3	introduces	introduce	VERB
cana-4727	33	4	innovations	innovation	NOUN
cana-4727	33	5	by	by	ADP
cana-4727	33	6	comprehensively	comprehensively	ADV
cana-4727	33	7	studying	study	VERB
cana-4727	33	8	modern	modern	ADJ
cana-4727	33	9	developments	development	NOUN
cana-4727	33	10	and	and	CCONJ
cana-4727	33	11	interdisciplinary	interdisciplinary	ADJ
cana-4727	33	12	implementations	implementation	NOUN
cana-4727	33	13	of	of	ADP
cana-4727	33	14	graph	graph	NOUN
cana-4727	33	15	theory	theory	NOUN
cana-4727	33	16	.	.	PUNCT
cana-4727	34	1	traditional	traditional	ADJ
cana-4727	34	2	mathematical	mathematical	ADJ
cana-4727	34	3	studies	study	NOUN
cana-4727	34	4	usually	usually	ADV
cana-4727	34	5	limit	limit	VERB
cana-4727	34	6	their	their	PRON
cana-4727	34	7	research	research	NOUN
cana-4727	34	8	to	to	ADP
cana-4727	34	9	theoretical	theoretical	ADJ
cana-4727	34	10	approaches	approach	NOUN
cana-4727	34	11	while	while	SCONJ
cana-4727	34	12	this	this	DET
cana-4727	34	13	study	study	NOUN
cana-4727	34	14	expands	expand	VERB
cana-4727	34	15	its	its	PRON
cana-4727	34	16	analysis	analysis	NOUN
cana-4727	34	17	to	to	PART
cana-4727	34	18	observe	observe	VERB
cana-4727	34	19	practical	practical	ADJ
cana-4727	34	20	communications	communication	NOUN
cana-4727	34	21	on	on	ADP
cana-4727	34	22	applied	apply	VERB
cana-4727	34	23	nonlinear	nonlinear	ADJ
cana-4727	34	24	analysis	analysis	NOUN
cana-4727	34	25	issn	issn	NOUN
cana-4727	34	26	:	:	PUNCT
cana-4727	34	27	1074	1074	NUM
cana-4727	34	28	-	-	PUNCT
cana-4727	34	29	133x	133x	NUM
cana-4727	34	30	vol	vol	VERB
cana-4727	34	31	32	32	NUM
cana-4727	34	32	no	no	NOUN
cana-4727	34	33	.	.	PUNCT
cana-4727	35	1	10s	10	NOUN
cana-4727	35	2	(	(	PUNCT
cana-4727	35	3	2025	2025	NUM
cana-4727	35	4	)	)	PUNCT
cana-4727	35	5	204	204	NUM
cana-4727	35	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	35	7	usages	usage	NOUN
cana-4727	35	8	in	in	ADP
cana-4727	35	9	artificial	artificial	ADJ
cana-4727	35	10	intelligence	intelligence	NOUN
cana-4727	35	11	together	together	ADV
cana-4727	35	12	with	with	ADP
cana-4727	35	13	medical	medical	ADJ
cana-4727	35	14	imaging	imaging	NOUN
cana-4727	35	15	and	and	CCONJ
cana-4727	35	16	cybersecurity	cybersecurity	NOUN
cana-4727	35	17	applications	application	NOUN
cana-4727	35	18	and	and	CCONJ
cana-4727	35	19	real	real	ADJ
cana-4727	35	20	-	-	PUNCT
cana-4727	35	21	time	time	NOUN
cana-4727	35	22	optimization	optimization	NOUN
cana-4727	35	23	problems	problem	NOUN
cana-4727	35	24	[	[	X
cana-4727	35	25	6	6	NUM
cana-4727	35	26	]	]	PUNCT
cana-4727	35	27	.	.	PUNCT
cana-4727	36	1	this	this	DET
cana-4727	36	2	paper	paper	NOUN
cana-4727	36	3	provides	provide	VERB
cana-4727	36	4	several	several	ADJ
cana-4727	36	5	essential	essential	ADJ
cana-4727	36	6	contributions	contribution	NOUN
cana-4727	36	7	which	which	PRON
cana-4727	36	8	include	include	VERB
cana-4727	36	9	:	:	PUNCT
cana-4727	36	10	•	•	ADP
cana-4727	36	11	the	the	DET
cana-4727	36	12	paper	paper	NOUN
cana-4727	36	13	investigates	investigate	VERB
cana-4727	36	14	modern	modern	ADJ
cana-4727	36	15	graph	graph	NOUN
cana-4727	36	16	algorithm	algorithm	NOUN
cana-4727	36	17	progress	progress	NOUN
cana-4727	36	18	through	through	ADP
cana-4727	36	19	recent	recent	ADJ
cana-4727	36	20	analysis	analysis	NOUN
cana-4727	36	21	of	of	ADP
cana-4727	36	22	advancements	advancement	NOUN
cana-4727	36	23	in	in	ADP
cana-4727	36	24	graph	graph	NOUN
cana-4727	36	25	-	-	PUNCT
cana-4727	36	26	based	base	VERB
cana-4727	36	27	machine	machine	NOUN
cana-4727	36	28	learning	learning	NOUN
cana-4727	36	29	as	as	ADV
cana-4727	36	30	well	well	ADV
cana-4727	36	31	as	as	ADP
cana-4727	36	32	graph	graph	NOUN
cana-4727	36	33	neural	neural	ADJ
cana-4727	36	34	networks	network	NOUN
cana-4727	36	35	(	(	PUNCT
cana-4727	36	36	gnns	gnns	NOUN
cana-4727	36	37	)	)	PUNCT
cana-4727	36	38	together	together	ADV
cana-4727	36	39	with	with	ADP
cana-4727	36	40	their	their	PRON
cana-4727	36	41	effect	effect	NOUN
cana-4727	36	42	on	on	ADP
cana-4727	36	43	data	datum	NOUN
cana-4727	36	44	science	science	NOUN
cana-4727	36	45	and	and	CCONJ
cana-4727	36	46	artificial	artificial	ADJ
cana-4727	36	47	intelligence	intelligence	NOUN
cana-4727	36	48	.	.	PUNCT
cana-4727	37	1	•	•	NUM
cana-4727	37	2	the	the	DET
cana-4727	37	3	paper	paper	NOUN
cana-4727	37	4	examines	examine	VERB
cana-4727	37	5	different	different	ADJ
cana-4727	37	6	graph	graph	NOUN
cana-4727	37	7	optimization	optimization	NOUN
cana-4727	37	8	approaches	approach	NOUN
cana-4727	37	9	with	with	ADP
cana-4727	37	10	a	a	DET
cana-4727	37	11	specific	specific	ADJ
cana-4727	37	12	focus	focus	NOUN
cana-4727	37	13	on	on	ADP
cana-4727	37	14	their	their	PRON
cana-4727	37	15	effectiveness	effectiveness	NOUN
cana-4727	37	16	for	for	ADP
cana-4727	37	17	traffic	traffic	NOUN
cana-4727	37	18	optimization	optimization	NOUN
cana-4727	37	19	and	and	CCONJ
cana-4727	37	20	grid	grid	NOUN
cana-4727	37	21	management	management	NOUN
cana-4727	37	22	and	and	CCONJ
cana-4727	37	23	logistics	logistic	NOUN
cana-4727	37	24	systems	system	NOUN
cana-4727	37	25	.	.	PUNCT
cana-4727	38	1	•	•	NUM
cana-4727	38	2	the	the	DET
cana-4727	38	3	research	research	NOUN
cana-4727	38	4	analyses	analyse	VERB
cana-4727	38	5	graph	graph	NOUN
cana-4727	38	6	theory	theory	NOUN
cana-4727	38	7	applications	application	NOUN
cana-4727	38	8	specifically	specifically	ADV
cana-4727	38	9	for	for	ADP
cana-4727	38	10	healthcare	healthcare	NOUN
cana-4727	38	11	rather	rather	ADV
cana-4727	38	12	than	than	ADP
cana-4727	38	13	classical	classical	ADJ
cana-4727	38	14	networking	networking	NOUN
cana-4727	38	15	and	and	CCONJ
cana-4727	38	16	computer	computer	NOUN
cana-4727	38	17	science	science	NOUN
cana-4727	38	18	usage	usage	NOUN
cana-4727	38	19	to	to	PART
cana-4727	38	20	show	show	VERB
cana-4727	38	21	its	its	PRON
cana-4727	38	22	current	current	ADJ
cana-4727	38	23	importance	importance	NOUN
cana-4727	38	24	for	for	ADP
cana-4727	38	25	biomedical	biomedical	ADJ
cana-4727	38	26	research	research	NOUN
cana-4727	38	27	and	and	CCONJ
cana-4727	38	28	tumor	tumor	NOUN
cana-4727	38	29	detection	detection	NOUN
cana-4727	38	30	and	and	CCONJ
cana-4727	38	31	drug	drug	NOUN
cana-4727	38	32	discovery	discovery	NOUN
cana-4727	38	33	processes	process	NOUN
cana-4727	38	34	.	.	PUNCT
cana-4727	39	1	•	•	NUM
cana-4727	39	2	the	the	DET
cana-4727	39	3	research	research	NOUN
cana-4727	39	4	presents	present	VERB
cana-4727	39	5	an	an	DET
cana-4727	39	6	overview	overview	NOUN
cana-4727	39	7	of	of	ADP
cana-4727	39	8	modern	modern	ADJ
cana-4727	39	9	parallel	parallel	ADJ
cana-4727	39	10	computing	computing	NOUN
cana-4727	39	11	and	and	CCONJ
cana-4727	39	12	quantum	quantum	NOUN
cana-4727	39	13	computing	computing	NOUN
cana-4727	39	14	technologies	technology	NOUN
cana-4727	39	15	and	and	CCONJ
cana-4727	39	16	distributed	distribute	VERB
cana-4727	39	17	graph	graph	NOUN
cana-4727	39	18	processing	processing	NOUN
cana-4727	39	19	methods	method	NOUN
cana-4727	39	20	as	as	ADP
cana-4727	39	21	solutions	solution	NOUN
cana-4727	39	22	to	to	ADP
cana-4727	39	23	computational	computational	ADJ
cana-4727	39	24	mass	mass	NOUN
cana-4727	39	25	during	during	ADP
cana-4727	39	26	large	large	ADJ
cana-4727	39	27	graph	graph	NOUN
cana-4727	39	28	analysis	analysis	NOUN
cana-4727	39	29	.	.	PUNCT
cana-4727	40	1	•	•	NUM
cana-4727	40	2	the	the	DET
cana-4727	40	3	review	review	NOUN
cana-4727	40	4	of	of	ADP
cana-4727	40	5	modern	modern	ADJ
cana-4727	40	6	research	research	NOUN
cana-4727	40	7	assists	assist	NOUN
cana-4727	40	8	this	this	DET
cana-4727	40	9	work	work	NOUN
cana-4727	40	10	to	to	PART
cana-4727	40	11	detect	detect	VERB
cana-4727	40	12	existing	exist	VERB
cana-4727	40	13	limitations	limitation	NOUN
cana-4727	40	14	in	in	ADP
cana-4727	40	15	methodologies	methodology	NOUN
cana-4727	40	16	and	and	CCONJ
cana-4727	40	17	recommends	recommend	VERB
cana-4727	40	18	innovative	innovative	ADJ
cana-4727	40	19	research	research	NOUN
cana-4727	40	20	paths	path	NOUN
cana-4727	40	21	for	for	ADP
cana-4727	40	22	the	the	DET
cana-4727	40	23	future	future	NOUN
cana-4727	40	24	of	of	ADP
cana-4727	40	25	graph	graph	NOUN
cana-4727	40	26	theory	theory	NOUN
cana-4727	40	27	.	.	PUNCT
cana-4727	41	1	ii	ii	PROPN
cana-4727	41	2	.	.	PROPN
cana-4727	41	3	related	relate	VERB
cana-4727	41	4	works	work	NOUN
cana-4727	41	5	research	research	NOUN
cana-4727	41	6	into	into	ADP
cana-4727	41	7	graph	graph	NOUN
cana-4727	41	8	theory	theory	NOUN
cana-4727	41	9	occurred	occur	VERB
cana-4727	41	10	extensively	extensively	ADV
cana-4727	41	11	because	because	SCONJ
cana-4727	41	12	its	its	PRON
cana-4727	41	13	broad	broad	ADJ
cana-4727	41	14	applications	application	NOUN
cana-4727	41	15	support	support	VERB
cana-4727	41	16	academic	academic	ADJ
cana-4727	41	17	fields	field	NOUN
cana-4727	41	18	that	that	PRON
cana-4727	41	19	include	include	VERB
cana-4727	41	20	mathematics	mathematic	NOUN
cana-4727	41	21	and	and	CCONJ
cana-4727	41	22	computer	computer	NOUN
cana-4727	41	23	science	science	NOUN
cana-4727	41	24	as	as	ADV
cana-4727	41	25	well	well	ADV
cana-4727	41	26	as	as	ADP
cana-4727	41	27	biological	biological	ADJ
cana-4727	41	28	systems	system	NOUN
cana-4727	41	29	and	and	CCONJ
cana-4727	41	30	social	social	ADJ
cana-4727	41	31	networks	network	NOUN
cana-4727	41	32	.	.	PUNCT
cana-4727	42	1	research	research	NOUN
cana-4727	42	2	based	base	VERB
cana-4727	42	3	on	on	ADP
cana-4727	42	4	wide	wide	ADV
cana-4727	42	5	-	-	PUNCT
cana-4727	42	6	ranging	range	VERB
cana-4727	42	7	scientific	scientific	ADJ
cana-4727	42	8	studies	study	NOUN
cana-4727	42	9	relies	rely	VERB
cana-4727	42	10	on	on	ADP
cana-4727	42	11	three	three	NUM
cana-4727	42	12	core	core	NOUN
cana-4727	42	13	concepts	concept	NOUN
cana-4727	42	14	known	know	VERB
cana-4727	42	15	for	for	ADP
cana-4727	42	16	their	their	PRON
cana-4727	42	17	significance	significance	NOUN
cana-4727	42	18	in	in	ADP
cana-4727	42	19	graph	graph	NOUN
cana-4727	42	20	theory	theory	NOUN
cana-4727	42	21	:	:	PUNCT
cana-4727	42	22	connectivity	connectivity	NOUN
cana-4727	42	23	together	together	ADV
cana-4727	42	24	with	with	ADP
cana-4727	42	25	traversal	traversal	NOUN
cana-4727	42	26	and	and	CCONJ
cana-4727	42	27	optimization	optimization	NOUN
cana-4727	42	28	.	.	PUNCT
cana-4727	43	1	this	this	DET
cana-4727	43	2	segment	segment	NOUN
cana-4727	43	3	reviews	review	VERB
cana-4727	43	4	major	major	ADJ
cana-4727	43	5	application	application	NOUN
cana-4727	43	6	fields	field	NOUN
cana-4727	43	7	of	of	ADP
cana-4727	43	8	graph	graph	NOUN
cana-4727	43	9	theory	theory	NOUN
cana-4727	43	10	alongside	alongside	ADP
cana-4727	43	11	the	the	DET
cana-4727	43	12	research	research	NOUN
cana-4727	43	13	obstacles	obstacle	NOUN
cana-4727	43	14	which	which	PRON
cana-4727	43	15	scientists	scientist	NOUN
cana-4727	43	16	have	have	AUX
cana-4727	43	17	examined	examine	VERB
cana-4727	43	18	[	[	PUNCT
cana-4727	43	19	8	8	NUM
cana-4727	43	20	-	-	SYM
cana-4727	43	21	13	13	NUM
cana-4727	43	22	]	]	PUNCT
cana-4727	43	23	.	.	PUNCT
cana-4727	44	1	a.	a.	PROPN
cana-4727	44	2	fundamental	fundamental	ADJ
cana-4727	44	3	graph	graph	NOUN
cana-4727	44	4	theoretic	theoretic	ADJ
cana-4727	44	5	approaches	approach	NOUN
cana-4727	44	6	in	in	ADP
cana-4727	44	7	2008	2008	NUM
cana-4727	44	8	s.	s.	PROPN
cana-4727	44	9	s.	s.	PROPN
cana-4727	44	10	skiena	skiena	PROPN
cana-4727	44	11	et.al	et.al	PROPN
cana-4727	44	12	.	.	PUNCT
cana-4727	44	13	,	,	PUNCT
cana-4727	45	1	[	[	X
cana-4727	45	2	19	19	NUM
cana-4727	45	3	]	]	PUNCT
cana-4727	45	4	introduce	introduce	VERB
cana-4727	45	5	the	the	DET
cana-4727	45	6	graph	graph	NOUN
cana-4727	45	7	traversal	traversal	NOUN
cana-4727	45	8	algorithms	algorithm	NOUN
cana-4727	45	9	lead	lead	VERB
cana-4727	45	10	the	the	DET
cana-4727	45	11	research	research	NOUN
cana-4727	45	12	on	on	ADP
cana-4727	45	13	graph	graph	NOUN
cana-4727	45	14	theory	theory	NOUN
cana-4727	45	15	because	because	SCONJ
cana-4727	45	16	they	they	PRON
cana-4727	45	17	consist	consist	VERB
cana-4727	45	18	of	of	ADP
cana-4727	45	19	depth	depth	NOUN
cana-4727	45	20	-	-	PUNCT
cana-4727	45	21	first	first	ADJ
cana-4727	45	22	search	search	NOUN
cana-4727	45	23	(	(	PUNCT
cana-4727	45	24	dfs	dfs	NOUN
cana-4727	45	25	)	)	PUNCT
cana-4727	45	26	and	and	CCONJ
cana-4727	45	27	breadth	breadth	NOUN
cana-4727	45	28	-	-	PUNCT
cana-4727	45	29	first	first	ADJ
cana-4727	45	30	search	search	NOUN
cana-4727	45	31	(	(	PUNCT
cana-4727	45	32	bfs	bfs	NOUN
cana-4727	45	33	)	)	PUNCT
cana-4727	45	34	.	.	PUNCT
cana-4727	46	1	these	these	DET
cana-4727	46	2	algorithms	algorithm	NOUN
cana-4727	46	3	provide	provide	VERB
cana-4727	46	4	the	the	DET
cana-4727	46	5	necessary	necessary	ADJ
cana-4727	46	6	tools	tool	NOUN
cana-4727	46	7	for	for	ADP
cana-4727	46	8	exploring	explore	VERB
cana-4727	46	9	graphs	graph	NOUN
cana-4727	46	10	because	because	SCONJ
cana-4727	46	11	they	they	PRON
cana-4727	46	12	establish	establish	VERB
cana-4727	46	13	the	the	DET
cana-4727	46	14	base	base	NOUN
cana-4727	46	15	for	for	ADP
cana-4727	46	16	different	different	ADJ
cana-4727	46	17	applications	application	NOUN
cana-4727	46	18	including	include	VERB
cana-4727	46	19	network	network	NOUN
cana-4727	46	20	routing	route	VERB
cana-4727	46	21	alongside	alongside	ADP
cana-4727	46	22	artificial	artificial	ADJ
cana-4727	46	23	intelligence	intelligence	NOUN
cana-4727	46	24	and	and	CCONJ
cana-4727	46	25	bioinformatics	bioinformatics	NOUN
cana-4727	46	26	.	.	PUNCT
cana-4727	47	1	the	the	DET
cana-4727	47	2	investigation	investigation	NOUN
cana-4727	47	3	of	of	ADP
cana-4727	47	4	graph	graph	NOUN
cana-4727	47	5	coloring	coloring	NOUN
cana-4727	47	6	has	have	AUX
cana-4727	47	7	reached	reach	VERB
cana-4727	47	8	extensive	extensive	ADJ
cana-4727	47	9	levels	level	NOUN
cana-4727	47	10	for	for	ADP
cana-4727	47	11	its	its	PRON
cana-4727	47	12	usage	usage	NOUN
cana-4727	47	13	in	in	ADP
cana-4727	47	14	project	project	NOUN
cana-4727	47	15	scheduling	scheduling	NOUN
cana-4727	47	16	tasks	task	NOUN
cana-4727	47	17	and	and	CCONJ
cana-4727	47	18	compiler	compiler	NOUN
cana-4727	47	19	register	register	NOUN
cana-4727	47	20	allocation	allocation	NOUN
cana-4727	47	21	and	and	CCONJ
cana-4727	47	22	telecommunications	telecommunications	NOUN
cana-4727	47	23	frequency	frequency	NOUN
cana-4727	47	24	scheduling	scheduling	NOUN
cana-4727	47	25	systems	system	NOUN
cana-4727	47	26	.	.	PUNCT
cana-4727	48	1	research	research	NOUN
cana-4727	48	2	in	in	ADP
cana-4727	48	3	shortest	short	ADJ
cana-4727	48	4	path	path	NOUN
cana-4727	48	5	algorithms	algorithm	NOUN
cana-4727	48	6	especially	especially	ADV
cana-4727	48	7	focusing	focus	VERB
cana-4727	48	8	on	on	ADP
cana-4727	48	9	dijkstra	dijkstra	PROPN
cana-4727	48	10	’s	’s	PART
cana-4727	48	11	algorithm	algorithm	NOUN
cana-4727	48	12	and	and	CCONJ
cana-4727	48	13	bellman	bellman	NOUN
cana-4727	48	14	-	-	PUNCT
cana-4727	48	15	ford	ford	PROPN
cana-4727	48	16	algorithm	algorithm	NOUN
cana-4727	48	17	and	and	CCONJ
cana-4727	48	18	floyd	floyd	PROPN
cana-4727	48	19	-	-	PUNCT
cana-4727	48	20	warshall	warshall	PROPN
cana-4727	48	21	algorithm	algorithm	NOUN
cana-4727	48	22	serves	serve	VERB
cana-4727	48	23	as	as	ADP
cana-4727	48	24	the	the	DET
cana-4727	48	25	fundamental	fundamental	ADJ
cana-4727	48	26	solution	solution	NOUN
cana-4727	48	27	for	for	ADP
cana-4727	48	28	handling	handle	VERB
cana-4727	48	29	transportation	transportation	NOUN
cana-4727	48	30	and	and	CCONJ
cana-4727	48	31	logistics	logistic	NOUN
cana-4727	48	32	alongside	alongside	ADP
cana-4727	48	33	networking	network	VERB
cana-4727	48	34	issues	issue	NOUN
cana-4727	48	35	.	.	PUNCT
cana-4727	49	1	network	network	NOUN
cana-4727	49	2	design	design	NOUN
cana-4727	49	3	and	and	CCONJ
cana-4727	49	4	clustering	clustering	NOUN
cana-4727	49	5	and	and	CCONJ
cana-4727	49	6	circuit	circuit	NOUN
cana-4727	49	7	design	design	NOUN
cana-4727	49	8	benefit	benefit	NOUN
cana-4727	49	9	greatly	greatly	ADV
cana-4727	49	10	from	from	ADP
cana-4727	49	11	minimum	minimum	ADJ
cana-4727	49	12	spanning	span	VERB
cana-4727	49	13	tree	tree	NOUN
cana-4727	49	14	algorithms	algorithm	NOUN
cana-4727	49	15	including	include	VERB
cana-4727	49	16	prim	prim	PROPN
cana-4727	49	17	’s	’s	PART
cana-4727	49	18	and	and	CCONJ
cana-4727	49	19	kruskal	kruskal	NOUN
cana-4727	49	20	’s	’s	PART
cana-4727	49	21	algorithms	algorithm	NOUN
cana-4727	49	22	.	.	PUNCT
cana-4727	50	1	the	the	DET
cana-4727	50	2	field	field	NOUN
cana-4727	50	3	of	of	ADP
cana-4727	50	4	research	research	NOUN
cana-4727	50	5	has	have	AUX
cana-4727	50	6	investigated	investigate	VERB
cana-4727	50	7	graph	graph	NOUN
cana-4727	50	8	partitioning	partitioning	ADJ
cana-4727	50	9	methods	method	NOUN
cana-4727	50	10	since	since	SCONJ
cana-4727	50	11	these	these	DET
cana-4727	50	12	approaches	approach	NOUN
cana-4727	50	13	provide	provide	VERB
cana-4727	50	14	necessary	necessary	ADJ
cana-4727	50	15	optimization	optimization	NOUN
cana-4727	50	16	techniques	technique	NOUN
cana-4727	50	17	for	for	ADP
cana-4727	50	18	parallel	parallel	ADJ
cana-4727	50	19	computing	computing	NOUN
cana-4727	50	20	and	and	CCONJ
cana-4727	50	21	image	image	NOUN
cana-4727	50	22	segmentation	segmentation	NOUN
cana-4727	50	23	and	and	CCONJ
cana-4727	50	24	load	load	NOUN
cana-4727	50	25	balancing	balance	VERB
cana-4727	50	26	systems	system	NOUN
cana-4727	50	27	.	.	PUNCT
cana-4727	51	1	communications	communication	NOUN
cana-4727	51	2	on	on	ADP
cana-4727	51	3	applied	apply	VERB
cana-4727	51	4	nonlinear	nonlinear	ADJ
cana-4727	51	5	analysis	analysis	NOUN
cana-4727	51	6	issn	issn	NOUN
cana-4727	51	7	:	:	PUNCT
cana-4727	51	8	1074	1074	NUM
cana-4727	51	9	-	-	PUNCT
cana-4727	51	10	133x	133x	NUM
cana-4727	51	11	vol	vol	VERB
cana-4727	51	12	32	32	NUM
cana-4727	51	13	no	no	NOUN
cana-4727	51	14	.	.	PUNCT
cana-4727	52	1	10s	10	NOUN
cana-4727	52	2	(	(	PUNCT
cana-4727	52	3	2025	2025	NUM
cana-4727	52	4	)	)	PUNCT
cana-4727	52	5	205	205	NUM
cana-4727	52	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	52	7	b.	b.	NOUN
cana-4727	52	8	graph	graph	NOUN
cana-4727	52	9	theory	theory	NOUN
cana-4727	52	10	in	in	ADP
cana-4727	52	11	computer	computer	NOUN
cana-4727	52	12	science	science	NOUN
cana-4727	52	13	in	in	ADP
cana-4727	52	14	2015	2015	NUM
cana-4727	52	15	p.	p.	NOUN
cana-4727	52	16	l.	l.	PROPN
cana-4727	52	17	k.	k.	PROPN
cana-4727	52	18	priyadarsini	priyadarsini	PROPN
cana-4727	52	19	et.al	et.al	PROPN
cana-4727	52	20	.	.	PROPN
cana-4727	52	21	,	,	PUNCT
cana-4727	53	1	[	[	X
cana-4727	53	2	3	3	X
cana-4727	53	3	]	]	PUNCT
cana-4727	53	4	introduce	introduce	VERB
cana-4727	53	5	the	the	DET
cana-4727	53	6	theory	theory	NOUN
cana-4727	53	7	of	of	ADP
cana-4727	53	8	graphs	graph	NOUN
cana-4727	53	9	delivered	deliver	VERB
cana-4727	53	10	significant	significant	ADJ
cana-4727	53	11	contributions	contribution	NOUN
cana-4727	53	12	toward	toward	ADP
cana-4727	53	13	building	build	VERB
cana-4727	53	14	tree	tree	NOUN
cana-4727	53	15	structures	structure	NOUN
cana-4727	53	16	and	and	CCONJ
cana-4727	53	17	hash	hash	NOUN
cana-4727	53	18	graphs	graph	NOUN
cana-4727	53	19	and	and	CCONJ
cana-4727	53	20	adjacency	adjacency	NOUN
cana-4727	53	21	matrices	matrix	NOUN
cana-4727	53	22	in	in	ADP
cana-4727	53	23	computer	computer	NOUN
cana-4727	53	24	science	science	NOUN
cana-4727	53	25	data	datum	NOUN
cana-4727	53	26	structures	structure	NOUN
cana-4727	53	27	and	and	CCONJ
cana-4727	53	28	algorithms	algorithm	VERB
cana-4727	53	29	development	development	NOUN
cana-4727	53	30	.	.	PUNCT
cana-4727	54	1	the	the	DET
cana-4727	54	2	study	study	NOUN
cana-4727	54	3	of	of	ADP
cana-4727	54	4	graph	graph	NOUN
cana-4727	54	5	databases	database	NOUN
cana-4727	54	6	has	have	AUX
cana-4727	54	7	become	become	VERB
cana-4727	54	8	increasingly	increasingly	ADV
cana-4727	54	9	important	important	ADJ
cana-4727	54	10	because	because	SCONJ
cana-4727	54	11	users	user	NOUN
cana-4727	54	12	require	require	VERB
cana-4727	54	13	better	well	ADJ
cana-4727	54	14	tools	tool	NOUN
cana-4727	54	15	and	and	CCONJ
cana-4727	54	16	methods	method	NOUN
cana-4727	54	17	to	to	PART
cana-4727	54	18	process	process	VERB
cana-4727	54	19	and	and	CCONJ
cana-4727	54	20	retrieve	retrieve	VERB
cana-4727	54	21	massive	massive	ADJ
cana-4727	54	22	datasets	dataset	NOUN
cana-4727	54	23	for	for	ADP
cana-4727	54	24	social	social	ADJ
cana-4727	54	25	media	medium	NOUN
cana-4727	54	26	applications	application	NOUN
cana-4727	54	27	and	and	CCONJ
cana-4727	54	28	recommendation	recommendation	NOUN
cana-4727	54	29	platforms	platform	NOUN
cana-4727	54	30	and	and	CCONJ
cana-4727	54	31	fraud	fraud	NOUN
cana-4727	54	32	prevention	prevention	NOUN
cana-4727	54	33	networks	network	NOUN
cana-4727	54	34	.	.	PUNCT
cana-4727	55	1	the	the	DET
cana-4727	55	2	research	research	NOUN
cana-4727	55	3	into	into	ADP
cana-4727	55	4	network	network	NOUN
cana-4727	55	5	security	security	NOUN
cana-4727	55	6	improves	improve	VERB
cana-4727	55	7	thanks	thank	NOUN
cana-4727	55	8	to	to	ADP
cana-4727	55	9	graph	graph	NOUN
cana-4727	55	10	theory	theory	NOUN
cana-4727	55	11	as	as	SCONJ
cana-4727	55	12	scientists	scientist	NOUN
cana-4727	55	13	work	work	VERB
cana-4727	55	14	on	on	ADP
cana-4727	55	15	creating	create	VERB
cana-4727	55	16	intrusion	intrusion	NOUN
cana-4727	55	17	detection	detection	NOUN
cana-4727	55	18	systems	system	NOUN
cana-4727	55	19	and	and	CCONJ
cana-4727	55	20	conducting	conduct	VERB
cana-4727	55	21	vulnerability	vulnerability	NOUN
cana-4727	55	22	analysis	analysis	NOUN
cana-4727	55	23	and	and	CCONJ
cana-4727	55	24	network	network	NOUN
cana-4727	55	25	anomaly	anomaly	NOUN
cana-4727	55	26	detection	detection	NOUN
cana-4727	55	27	.	.	PUNCT
cana-4727	56	1	graph	graph	NOUN
cana-4727	56	2	-	-	PUNCT
cana-4727	56	3	based	base	VERB
cana-4727	56	4	clustering	clustering	ADJ
cana-4727	56	5	methods	method	NOUN
cana-4727	56	6	have	have	AUX
cana-4727	56	7	seen	see	VERB
cana-4727	56	8	extensive	extensive	ADJ
cana-4727	56	9	use	use	NOUN
cana-4727	56	10	in	in	ADP
cana-4727	56	11	analysis	analysis	NOUN
cana-4727	56	12	of	of	ADP
cana-4727	56	13	social	social	ADJ
cana-4727	56	14	networks	network	NOUN
cana-4727	56	15	together	together	ADV
cana-4727	56	16	with	with	ADP
cana-4727	56	17	fraud	fraud	NOUN
cana-4727	56	18	prevention	prevention	NOUN
cana-4727	56	19	systems	system	NOUN
cana-4727	56	20	and	and	CCONJ
cana-4727	56	21	web	web	NOUN
cana-4727	56	22	information	information	NOUN
cana-4727	56	23	systems	system	NOUN
cana-4727	56	24	.	.	PUNCT
cana-4727	57	1	c.	c.	NOUN
cana-4727	57	2	applications	application	NOUN
cana-4727	57	3	of	of	ADP
cana-4727	57	4	graph	graph	NOUN
cana-4727	57	5	theory	theory	NOUN
cana-4727	57	6	in	in	ADP
cana-4727	57	7	engineering	engineering	NOUN
cana-4727	57	8	and	and	CCONJ
cana-4727	57	9	optimization	optimization	NOUN
cana-4727	57	10	graph	graph	NOUN
cana-4727	57	11	theory	theory	NOUN
cana-4727	57	12	functions	function	NOUN
cana-4727	57	13	as	as	ADP
cana-4727	57	14	an	an	DET
cana-4727	57	15	essential	essential	ADJ
cana-4727	57	16	tool	tool	NOUN
cana-4727	57	17	for	for	ADP
cana-4727	57	18	engineering	engineering	NOUN
cana-4727	57	19	applications	application	NOUN
cana-4727	57	20	especially	especially	ADV
cana-4727	57	21	when	when	SCONJ
cana-4727	57	22	used	use	VERB
cana-4727	57	23	for	for	ADP
cana-4727	57	24	electrical	electrical	ADJ
cana-4727	57	25	and	and	CCONJ
cana-4727	57	26	communication	communication	NOUN
cana-4727	57	27	networks	network	NOUN
cana-4727	57	28	and	and	CCONJ
cana-4727	57	29	power	power	NOUN
cana-4727	57	30	grid	grid	NOUN
cana-4727	57	31	optimization	optimization	NOUN
cana-4727	57	32	and	and	CCONJ
cana-4727	57	33	transportation	transportation	NOUN
cana-4727	57	34	systems	system	NOUN
cana-4727	57	35	.	.	PUNCT
cana-4727	58	1	researchers	researcher	NOUN
cana-4727	58	2	utilize	utilize	VERB
cana-4727	58	3	graph	graph	NOUN
cana-4727	58	4	-	-	PUNCT
cana-4727	58	5	based	base	VERB
cana-4727	58	6	optimization	optimization	NOUN
cana-4727	58	7	techniques	technique	NOUN
cana-4727	58	8	to	to	PART
cana-4727	58	9	enhance	enhance	VERB
cana-4727	58	10	the	the	DET
cana-4727	58	11	efficiency	efficiency	NOUN
cana-4727	58	12	of	of	ADP
cana-4727	58	13	three	three	NUM
cana-4727	58	14	critical	critical	ADJ
cana-4727	58	15	areas	area	NOUN
cana-4727	58	16	such	such	ADJ
cana-4727	58	17	as	as	ADP
cana-4727	58	18	wireless	wireless	ADJ
cana-4727	58	19	sensor	sensor	NOUN
cana-4727	58	20	networks	network	NOUN
cana-4727	58	21	together	together	ADV
cana-4727	58	22	with	with	ADP
cana-4727	58	23	iot	iot	NOUN
cana-4727	58	24	-	-	PUNCT
cana-4727	58	25	based	base	VERB
cana-4727	58	26	applications	application	NOUN
cana-4727	58	27	and	and	CCONJ
cana-4727	58	28	traffic	traffic	NOUN
cana-4727	58	29	flow	flow	NOUN
cana-4727	58	30	systems	system	NOUN
cana-4727	58	31	.	.	PUNCT
cana-4727	59	1	the	the	DET
cana-4727	59	2	field	field	NOUN
cana-4727	59	3	of	of	ADP
cana-4727	59	4	image	image	NOUN
cana-4727	59	5	processing	processing	NOUN
cana-4727	59	6	as	as	ADV
cana-4727	59	7	well	well	ADV
cana-4727	59	8	as	as	ADP
cana-4727	59	9	sensor	sensor	NOUN
cana-4727	59	10	networks	network	NOUN
cana-4727	59	11	and	and	CCONJ
cana-4727	59	12	biomedical	biomedical	ADJ
cana-4727	59	13	imaging	imaging	NOUN
cana-4727	59	14	has	have	AUX
cana-4727	59	15	seen	see	VERB
cana-4727	59	16	growing	grow	VERB
cana-4727	59	17	interest	interest	NOUN
cana-4727	59	18	in	in	ADP
cana-4727	59	19	graph	graph	NOUN
cana-4727	59	20	signal	signal	ADJ
cana-4727	59	21	processing	processing	NOUN
cana-4727	59	22	applications	application	NOUN
cana-4727	59	23	.	.	PUNCT
cana-4727	60	1	in	in	ADP
cana-4727	60	2	2017	2017	NUM
cana-4727	60	3	r.	r.	PROPN
cana-4727	60	4	diestel	diestel	PROPN
cana-4727	60	5	et.al	et.al	PROPN
cana-4727	60	6	.	.	PUNCT
cana-4727	60	7	,	,	PUNCT
cana-4727	60	8	[	[	X
cana-4727	60	9	7	7	X
cana-4727	60	10	]	]	PUNCT
cana-4727	60	11	introduce	introduce	VERB
cana-4727	60	12	the	the	DET
cana-4727	60	13	field	field	NOUN
cana-4727	60	14	of	of	ADP
cana-4727	60	15	supply	supply	NOUN
cana-4727	60	16	chain	chain	NOUN
cana-4727	60	17	management	management	NOUN
cana-4727	60	18	together	together	ADV
cana-4727	60	19	with	with	ADP
cana-4727	60	20	logistics	logistic	NOUN
cana-4727	60	21	implements	implement	NOUN
cana-4727	60	22	graph	graph	NOUN
cana-4727	60	23	-	-	PUNCT
cana-4727	60	24	based	base	VERB
cana-4727	60	25	models	model	NOUN
cana-4727	60	26	that	that	PRON
cana-4727	60	27	improve	improve	VERB
cana-4727	60	28	efficiency	efficiency	NOUN
cana-4727	60	29	in	in	ADP
cana-4727	60	30	warehouse	warehouse	NOUN
cana-4727	60	31	procedures	procedure	NOUN
cana-4727	60	32	and	and	CCONJ
cana-4727	60	33	transportation	transportation	NOUN
cana-4727	60	34	systems	system	NOUN
cana-4727	60	35	along	along	ADP
cana-4727	60	36	with	with	ADP
cana-4727	60	37	delivery	delivery	NOUN
cana-4727	60	38	path	path	NOUN
cana-4727	60	39	allocation	allocation	NOUN
cana-4727	60	40	.	.	PUNCT
cana-4727	61	1	study	study	NOUN
cana-4727	61	2	of	of	ADP
cana-4727	61	3	hypergraph	hypergraph	NOUN
cana-4727	61	4	relationships	relationship	NOUN
cana-4727	61	5	contributes	contribute	VERB
cana-4727	61	6	to	to	ADP
cana-4727	61	7	largescale	largescale	ADJ
cana-4727	61	8	industrial	industrial	ADJ
cana-4727	61	9	analysis	analysis	NOUN
cana-4727	61	10	for	for	ADP
cana-4727	61	11	decision	decision	NOUN
cana-4727	61	12	support	support	NOUN
cana-4727	61	13	and	and	CCONJ
cana-4727	61	14	predictive	predictive	ADJ
cana-4727	61	15	modeling	modeling	NOUN
cana-4727	61	16	purposes	purpose	NOUN
cana-4727	61	17	.	.	PUNCT
cana-4727	62	1	d.	d.	PROPN
cana-4727	62	2	graph	graph	NOUN
cana-4727	62	3	theory	theory	NOUN
cana-4727	62	4	in	in	ADP
cana-4727	62	5	biological	biological	ADJ
cana-4727	62	6	and	and	CCONJ
cana-4727	62	7	medical	medical	ADJ
cana-4727	62	8	research	research	NOUN
cana-4727	62	9	scientists	scientist	NOUN
cana-4727	62	10	have	have	AUX
cana-4727	62	11	extensively	extensively	ADV
cana-4727	62	12	implemented	implement	VERB
cana-4727	62	13	graph	graph	NOUN
cana-4727	62	14	theory	theory	NOUN
cana-4727	62	15	within	within	ADP
cana-4727	62	16	biomedical	biomedical	ADJ
cana-4727	62	17	investigations	investigation	NOUN
cana-4727	62	18	and	and	CCONJ
cana-4727	62	19	bioinformatics	bioinformatic	NOUN
cana-4727	62	20	because	because	SCONJ
cana-4727	62	21	it	it	PRON
cana-4727	62	22	enables	enable	VERB
cana-4727	62	23	research	research	NOUN
cana-4727	62	24	of	of	ADP
cana-4727	62	25	protein	protein	NOUN
cana-4727	62	26	interactions	interaction	NOUN
cana-4727	62	27	together	together	ADV
cana-4727	62	28	with	with	ADP
cana-4727	62	29	metabolic	metabolic	NOUN
cana-4727	62	30	pathways	pathway	NOUN
cana-4727	62	31	along	along	ADP
cana-4727	62	32	with	with	ADP
cana-4727	62	33	genetic	genetic	ADJ
cana-4727	62	34	regulatory	regulatory	ADJ
cana-4727	62	35	methods	method	NOUN
cana-4727	62	36	.	.	PUNCT
cana-4727	63	1	scientific	scientific	ADJ
cana-4727	63	2	communities	community	NOUN
cana-4727	63	3	have	have	AUX
cana-4727	63	4	directed	direct	VERB
cana-4727	63	5	their	their	PRON
cana-4727	63	6	efforts	effort	NOUN
cana-4727	63	7	toward	toward	ADP
cana-4727	63	8	using	use	VERB
cana-4727	63	9	network	network	NOUN
cana-4727	63	10	-	-	PUNCT
cana-4727	63	11	based	base	VERB
cana-4727	63	12	approaches	approach	NOUN
cana-4727	63	13	for	for	ADP
cana-4727	63	14	disease	disease	NOUN
cana-4727	63	15	modeling	modeling	NOUN
cana-4727	63	16	in	in	ADP
cana-4727	63	17	order	order	NOUN
cana-4727	63	18	to	to	PART
cana-4727	63	19	recognize	recognize	VERB
cana-4727	63	20	essential	essential	ADJ
cana-4727	63	21	pathways	pathway	NOUN
cana-4727	63	22	which	which	PRON
cana-4727	63	23	drive	drive	VERB
cana-4727	63	24	disease	disease	NOUN
cana-4727	63	25	progression	progression	NOUN
cana-4727	63	26	of	of	ADP
cana-4727	63	27	cancer	cancer	NOUN
cana-4727	63	28	and	and	CCONJ
cana-4727	63	29	neurodegenerative	neurodegenerative	ADJ
cana-4727	63	30	disorders	disorder	NOUN
cana-4727	63	31	.	.	PUNCT
cana-4727	64	1	the	the	DET
cana-4727	64	2	analysis	analysis	NOUN
cana-4727	64	3	of	of	ADP
cana-4727	64	4	gene	gene	NOUN
cana-4727	64	5	expression	expression	NOUN
cana-4727	64	6	patterns	pattern	NOUN
cana-4727	64	7	needs	need	VERB
cana-4727	64	8	graph	graph	NOUN
cana-4727	64	9	-	-	PUNCT
cana-4727	64	10	based	base	VERB
cana-4727	64	11	clustering	clustering	ADJ
cana-4727	64	12	methods	method	NOUN
cana-4727	64	13	to	to	PART
cana-4727	64	14	achieve	achieve	VERB
cana-4727	64	15	results	result	NOUN
cana-4727	64	16	in	in	ADP
cana-4727	64	17	tumor	tumor	NOUN
cana-4727	64	18	classification	classification	NOUN
cana-4727	64	19	tasks	task	NOUN
cana-4727	64	20	as	as	ADV
cana-4727	64	21	well	well	ADV
cana-4727	64	22	as	as	ADP
cana-4727	64	23	identify	identify	VERB
cana-4727	64	24	potential	potential	ADJ
cana-4727	64	25	drug	drug	NOUN
cana-4727	64	26	targets	target	NOUN
cana-4727	64	27	[	[	X
cana-4727	64	28	14	14	NUM
cana-4727	64	29	]	]	PUNCT
cana-4727	64	30	.	.	PUNCT
cana-4727	65	1	medical	medical	ADJ
cana-4727	65	2	imaging	imaging	NOUN
cana-4727	65	3	along	along	ADP
cana-4727	65	4	with	with	ADP
cana-4727	65	5	brain	brain	NOUN
cana-4727	65	6	network	network	NOUN
cana-4727	65	7	examination	examination	NOUN
cana-4727	65	8	and	and	CCONJ
cana-4727	65	9	tumor	tumor	NOUN
cana-4727	65	10	discovery	discovery	NOUN
cana-4727	65	11	benefit	benefit	NOUN
cana-4727	65	12	from	from	ADP
cana-4727	65	13	research	research	NOUN
cana-4727	65	14	related	relate	VERB
cana-4727	65	15	to	to	ADP
cana-4727	65	16	graph	graph	NOUN
cana-4727	65	17	-	-	PUNCT
cana-4727	65	18	based	base	VERB
cana-4727	65	19	image	image	NOUN
cana-4727	65	20	processing	processing	NOUN
cana-4727	65	21	techniques	technique	NOUN
cana-4727	65	22	.	.	PUNCT
cana-4727	66	1	the	the	DET
cana-4727	66	2	field	field	NOUN
cana-4727	66	3	of	of	ADP
cana-4727	66	4	medical	medical	ADJ
cana-4727	66	5	diagnosis	diagnosis	NOUN
cana-4727	66	6	and	and	CCONJ
cana-4727	66	7	anomaly	anomaly	NOUN
cana-4727	66	8	detection	detection	NOUN
cana-4727	66	9	benefits	benefit	NOUN
cana-4727	66	10	from	from	ADP
cana-4727	66	11	graph	graph	NOUN
cana-4727	66	12	convolutional	convolutional	ADJ
cana-4727	66	13	networks	network	NOUN
cana-4727	66	14	according	accord	VERB
cana-4727	66	15	to	to	ADP
cana-4727	66	16	research	research	NOUN
cana-4727	66	17	findings	finding	NOUN
cana-4727	66	18	which	which	PRON
cana-4727	66	19	leads	lead	VERB
cana-4727	66	20	to	to	ADP
cana-4727	66	21	better	well	ADJ
cana-4727	66	22	disease	disease	NOUN
cana-4727	66	23	prediction	prediction	NOUN
cana-4727	66	24	and	and	CCONJ
cana-4727	66	25	early	early	ADJ
cana-4727	66	26	diagnosis	diagnosis	NOUN
cana-4727	66	27	accuracy	accuracy	NOUN
cana-4727	66	28	.	.	PUNCT
cana-4727	67	1	e.	e.	PROPN
cana-4727	67	2	challenges	challenge	NOUN
cana-4727	67	3	and	and	CCONJ
cana-4727	67	4	open	open	ADJ
cana-4727	67	5	research	research	NOUN
cana-4727	67	6	problems	problem	NOUN
cana-4727	67	7	extensive	extensive	ADJ
cana-4727	67	8	research	research	NOUN
cana-4727	67	9	in	in	ADP
cana-4727	67	10	the	the	DET
cana-4727	67	11	field	field	NOUN
cana-4727	67	12	has	have	AUX
cana-4727	67	13	not	not	PART
cana-4727	67	14	solved	solve	VERB
cana-4727	67	15	all	all	DET
cana-4727	67	16	the	the	DET
cana-4727	67	17	difficulties	difficulty	NOUN
cana-4727	67	18	which	which	PRON
cana-4727	67	19	prevent	prevent	VERB
cana-4727	67	20	complete	complete	ADJ
cana-4727	67	21	understanding	understanding	NOUN
cana-4727	67	22	of	of	ADP
cana-4727	67	23	graph	graph	NOUN
cana-4727	67	24	theory	theory	NOUN
cana-4727	67	25	applications	application	NOUN
cana-4727	67	26	.	.	PUNCT
cana-4727	68	1	the	the	DET
cana-4727	68	2	fault	fault	NOUN
cana-4727	68	3	lies	lie	VERB
cana-4727	68	4	in	in	ADP
cana-4727	68	5	using	use	VERB
cana-4727	68	6	complex	complex	ADJ
cana-4727	68	7	algorithms	algorithm	NOUN
cana-4727	68	8	to	to	PART
cana-4727	68	9	solve	solve	VERB
cana-4727	68	10	problems	problem	NOUN
cana-4727	68	11	in	in	ADP
cana-4727	68	12	big	big	ADJ
cana-4727	68	13	network	network	NOUN
cana-4727	68	14	data	datum	NOUN
cana-4727	68	15	due	due	ADP
cana-4727	68	16	to	to	ADP
cana-4727	68	17	their	their	PRON
cana-4727	68	18	element	element	NOUN
cana-4727	68	19	processing	processing	NOUN
cana-4727	68	20	issues	issue	NOUN
cana-4727	68	21	.	.	PUNCT
cana-4727	69	1	numerous	numerous	ADJ
cana-4727	69	2	graph	graph	NOUN
cana-4727	69	3	-	-	PUNCT
cana-4727	69	4	based	base	VERB
cana-4727	69	5	communications	communication	NOUN
cana-4727	69	6	on	on	ADP
cana-4727	69	7	applied	apply	VERB
cana-4727	69	8	nonlinear	nonlinear	ADJ
cana-4727	69	9	analysis	analysis	NOUN
cana-4727	69	10	issn	issn	NOUN
cana-4727	69	11	:	:	PUNCT
cana-4727	69	12	1074	1074	NUM
cana-4727	69	13	-	-	PUNCT
cana-4727	69	14	133x	133x	NUM
cana-4727	69	15	vol	vol	VERB
cana-4727	69	16	32	32	NUM
cana-4727	69	17	no	no	NOUN
cana-4727	69	18	.	.	PUNCT
cana-4727	70	1	10s	10	NOUN
cana-4727	70	2	(	(	PUNCT
cana-4727	70	3	2025	2025	NUM
cana-4727	70	4	)	)	PUNCT
cana-4727	70	5	206	206	NUM
cana-4727	70	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	70	7	problems	problem	NOUN
cana-4727	70	8	become	become	VERB
cana-4727	70	9	computationally	computationally	ADV
cana-4727	70	10	challenging	challenging	ADJ
cana-4727	70	11	because	because	SCONJ
cana-4727	70	12	they	they	PRON
cana-4727	70	13	demand	demand	VERB
cana-4727	70	14	using	use	VERB
cana-4727	70	15	approximation	approximation	NOUN
cana-4727	70	16	algorithms	algorithm	NOUN
cana-4727	70	17	and	and	CCONJ
cana-4727	70	18	heuristics	heuristic	NOUN
cana-4727	70	19	to	to	PART
cana-4727	70	20	reach	reach	VERB
cana-4727	70	21	close	close	ADV
cana-4727	70	22	to	to	ADP
cana-4727	70	23	optimal	optimal	ADJ
cana-4727	70	24	solutions	solution	NOUN
cana-4727	70	25	[	[	X
cana-4727	70	26	15	15	NUM
cana-4727	70	27	]	]	PUNCT
cana-4727	70	28	.	.	PUNCT
cana-4727	71	1	the	the	DET
cana-4727	71	2	many	many	ADJ
cana-4727	71	3	fields	field	NOUN
cana-4727	71	4	such	such	ADJ
cana-4727	71	5	as	as	ADP
cana-4727	71	6	computer	computer	NOUN
cana-4727	71	7	science	science	NOUN
cana-4727	71	8	,	,	PUNCT
cana-4727	71	9	engineering	engineering	NOUN
cana-4727	71	10	,	,	PUNCT
cana-4727	71	11	medical	medical	ADJ
cana-4727	71	12	research	research	NOUN
cana-4727	71	13	and	and	CCONJ
cana-4727	71	14	social	social	ADJ
cana-4727	71	15	network	network	NOUN
cana-4727	71	16	analysis	analysis	NOUN
cana-4727	71	17	benefited	benefit	VERB
cana-4727	71	18	substantially	substantially	ADV
cana-4727	71	19	from	from	ADP
cana-4727	71	20	the	the	DET
cana-4727	71	21	development	development	NOUN
cana-4727	71	22	of	of	ADP
cana-4727	71	23	graph	graph	NOUN
cana-4727	71	24	theory	theory	NOUN
cana-4727	71	25	research	research	NOUN
cana-4727	71	26	.	.	PUNCT
cana-4727	72	1	the	the	DET
cana-4727	72	2	advancement	advancement	NOUN
cana-4727	72	3	of	of	ADP
cana-4727	72	4	effective	effective	ADJ
cana-4727	72	5	graph	graph	NOUN
cana-4727	72	6	algorithm	algorithm	NOUN
cana-4727	72	7	methods	method	NOUN
cana-4727	72	8	has	have	AUX
cana-4727	72	9	improved	improve	VERB
cana-4727	72	10	but	but	CCONJ
cana-4727	72	11	researchers	researcher	NOUN
cana-4727	72	12	need	need	VERB
cana-4727	72	13	to	to	PART
cana-4727	72	14	address	address	VERB
cana-4727	72	15	existing	exist	VERB
cana-4727	72	16	obstacles	obstacle	NOUN
cana-4727	72	17	regarding	regard	VERB
cana-4727	72	18	system	system	NOUN
cana-4727	72	19	scalability	scalability	NOUN
cana-4727	72	20	together	together	ADV
cana-4727	72	21	with	with	ADP
cana-4727	72	22	processing	processing	NOUN
cana-4727	72	23	speed	speed	NOUN
cana-4727	72	24	and	and	CCONJ
cana-4727	72	25	real	real	ADJ
cana-4727	72	26	-	-	PUNCT
cana-4727	72	27	time	time	NOUN
cana-4727	72	28	execution	execution	NOUN
cana-4727	72	29	efficiency	efficiency	NOUN
cana-4727	72	30	.	.	PUNCT
cana-4727	73	1	this	this	DET
cana-4727	73	2	paper	paper	NOUN
cana-4727	73	3	expands	expand	VERB
cana-4727	73	4	upon	upon	SCONJ
cana-4727	73	5	current	current	ADJ
cana-4727	73	6	research	research	NOUN
cana-4727	73	7	by	by	ADP
cana-4727	73	8	delivering	deliver	VERB
cana-4727	73	9	an	an	DET
cana-4727	73	10	extensive	extensive	ADJ
cana-4727	73	11	evaluation	evaluation	NOUN
cana-4727	73	12	of	of	ADP
cana-4727	73	13	graph	graph	NOUN
cana-4727	73	14	theory	theory	NOUN
cana-4727	73	15	applications	application	NOUN
cana-4727	73	16	through	through	ADP
cana-4727	73	17	discussions	discussion	NOUN
cana-4727	73	18	about	about	ADP
cana-4727	73	19	innovative	innovative	ADJ
cana-4727	73	20	approaches	approach	NOUN
cana-4727	73	21	along	along	ADP
cana-4727	73	22	with	with	ADP
cana-4727	73	23	the	the	DET
cana-4727	73	24	current	current	ADJ
cana-4727	73	25	trends	trend	NOUN
cana-4727	73	26	in	in	ADP
cana-4727	73	27	this	this	DET
cana-4727	73	28	academic	academic	ADJ
cana-4727	73	29	field	field	NOUN
cana-4727	73	30	.	.	PUNCT
cana-4727	74	1	the	the	DET
cana-4727	74	2	article	article	NOUN
cana-4727	74	3	reveals	reveal	VERB
cana-4727	74	4	an	an	DET
cana-4727	74	5	explanation	explanation	NOUN
cana-4727	74	6	of	of	ADP
cana-4727	74	7	methodology	methodology	NOUN
cana-4727	74	8	and	and	CCONJ
cana-4727	74	9	experimental	experimental	ADJ
cana-4727	74	10	findings	finding	NOUN
cana-4727	74	11	alongside	alongside	ADP
cana-4727	74	12	future	future	ADJ
cana-4727	74	13	possibilities	possibility	NOUN
cana-4727	74	14	for	for	ADP
cana-4727	74	15	graph	graph	NOUN
cana-4727	74	16	-	-	PUNCT
cana-4727	74	17	based	base	VERB
cana-4727	74	18	research	research	NOUN
cana-4727	74	19	.	.	PUNCT
cana-4727	75	1	iii	iii	X
cana-4727	75	2	.	.	PROPN
cana-4727	75	3	proposed	propose	VERB
cana-4727	75	4	methodology	methodology	NOUN
cana-4727	75	5	the	the	DET
cana-4727	75	6	proposed	propose	VERB
cana-4727	75	7	methodology	methodology	NOUN
cana-4727	75	8	focuses	focus	VERB
cana-4727	75	9	on	on	ADP
cana-4727	75	10	the	the	DET
cana-4727	75	11	mathematical	mathematical	ADJ
cana-4727	75	12	foundations	foundation	NOUN
cana-4727	75	13	and	and	CCONJ
cana-4727	75	14	computational	computational	ADJ
cana-4727	75	15	techniques	technique	NOUN
cana-4727	75	16	required	require	VERB
cana-4727	75	17	for	for	ADP
cana-4727	75	18	solving	solve	VERB
cana-4727	75	19	graph	graph	NOUN
cana-4727	75	20	-	-	PUNCT
cana-4727	75	21	theoretic	theoretic	NOUN
cana-4727	75	22	problems	problem	NOUN
cana-4727	75	23	efficiently	efficiently	ADV
cana-4727	75	24	.	.	PUNCT
cana-4727	76	1	the	the	DET
cana-4727	76	2	approach	approach	NOUN
cana-4727	76	3	integrates	integrate	VERB
cana-4727	76	4	classical	classical	ADJ
cana-4727	76	5	graph	graph	NOUN
cana-4727	76	6	algorithms	algorithm	NOUN
cana-4727	76	7	with	with	ADP
cana-4727	76	8	modern	modern	ADJ
cana-4727	76	9	optimization	optimization	NOUN
cana-4727	76	10	techniques	technique	NOUN
cana-4727	76	11	,	,	PUNCT
cana-4727	76	12	ensuring	ensure	VERB
cana-4727	76	13	enhanced	enhanced	ADJ
cana-4727	76	14	performance	performance	NOUN
cana-4727	76	15	in	in	ADP
cana-4727	76	16	large	large	ADJ
cana-4727	76	17	-	-	PUNCT
cana-4727	76	18	scale	scale	NOUN
cana-4727	76	19	applications	application	NOUN
cana-4727	76	20	.	.	PUNCT
cana-4727	77	1	the	the	DET
cana-4727	77	2	methodology	methodology	NOUN
cana-4727	77	3	follows	follow	VERB
cana-4727	77	4	a	a	DET
cana-4727	77	5	structured	structured	ADJ
cana-4727	77	6	pipeline	pipeline	NOUN
cana-4727	77	7	that	that	PRON
cana-4727	77	8	includes	include	VERB
cana-4727	77	9	graph	graph	NOUN
cana-4727	77	10	representation	representation	NOUN
cana-4727	77	11	,	,	PUNCT
cana-4727	77	12	problem	problem	NOUN
cana-4727	77	13	formulation	formulation	NOUN
cana-4727	77	14	,	,	PUNCT
cana-4727	77	15	algorithm	algorithm	NOUN
cana-4727	77	16	design	design	NOUN
cana-4727	77	17	,	,	PUNCT
cana-4727	77	18	and	and	CCONJ
cana-4727	77	19	performance	performance	NOUN
cana-4727	77	20	analysis	analysis	NOUN
cana-4727	77	21	[	[	X
cana-4727	77	22	16	16	NUM
cana-4727	77	23	]	]	PUNCT
cana-4727	77	24	.	.	PUNCT
cana-4727	78	1	a.	a.	NOUN
cana-4727	78	2	graph	graph	NOUN
cana-4727	78	3	representation	representation	NOUN
cana-4727	78	4	and	and	CCONJ
cana-4727	78	5	mathematical	mathematical	ADJ
cana-4727	78	6	modeling	modeling	NOUN
cana-4727	78	7	a	a	DET
cana-4727	78	8	graph	graph	NOUN
cana-4727	78	9	𝐺	𝐺	NOUN
cana-4727	78	10	=	=	SYM
cana-4727	78	11	(	(	PUNCT
cana-4727	78	12	𝑉	𝑉	PROPN
cana-4727	78	13	,	,	PUNCT
cana-4727	78	14	𝐸	𝐸	PROPN
cana-4727	78	15	)	)	PUNCT
cana-4727	78	16	is	be	AUX
cana-4727	78	17	defined	define	VERB
cana-4727	78	18	by	by	ADP
cana-4727	78	19	a	a	DET
cana-4727	78	20	finite	finite	ADJ
cana-4727	78	21	set	set	NOUN
cana-4727	78	22	of	of	ADP
cana-4727	78	23	vertices	vertex	NOUN
cana-4727	78	24	𝑉	𝑉	ADJ
cana-4727	78	25	and	and	CCONJ
cana-4727	78	26	edges	edge	VERB
cana-4727	78	27	𝐸.	𝐸.	VERB
cana-4727	78	28	each	each	DET
cana-4727	78	29	edge	edge	NOUN
cana-4727	78	30	represents	represent	VERB
cana-4727	78	31	a	a	DET
cana-4727	78	32	connection	connection	NOUN
cana-4727	78	33	between	between	ADP
cana-4727	78	34	two	two	NUM
cana-4727	78	35	vertices	vertex	NOUN
cana-4727	78	36	.	.	PUNCT
cana-4727	79	1	depending	depend	VERB
cana-4727	79	2	on	on	ADP
cana-4727	79	3	the	the	DET
cana-4727	79	4	application	application	NOUN
cana-4727	79	5	,	,	PUNCT
cana-4727	79	6	graphs	graph	NOUN
cana-4727	79	7	can	can	AUX
cana-4727	79	8	be	be	AUX
cana-4727	79	9	directed	direct	VERB
cana-4727	79	10	or	or	CCONJ
cana-4727	79	11	undirected	undirected	ADJ
cana-4727	79	12	,	,	PUNCT
cana-4727	79	13	weighted	weighted	ADJ
cana-4727	79	14	or	or	CCONJ
cana-4727	79	15	unweighted	unweighted	ADJ
cana-4727	79	16	,	,	PUNCT
cana-4727	79	17	and	and	CCONJ
cana-4727	79	18	dynamic	dynamic	ADJ
cana-4727	79	19	or	or	CCONJ
cana-4727	79	20	static	static	ADJ
cana-4727	79	21	.	.	PUNCT
cana-4727	80	1	for	for	ADP
cana-4727	80	2	a	a	DET
cana-4727	80	3	weighted	weight	VERB
cana-4727	80	4	graph	graph	NOUN
cana-4727	80	5	,	,	PUNCT
cana-4727	80	6	an	an	DET
cana-4727	80	7	adjacency	adjacency	NOUN
cana-4727	80	8	matrix	matrix	NOUN
cana-4727	80	9	𝐴	𝐴	PROPN
cana-4727	80	10	of	of	ADP
cana-4727	80	11	size	size	NOUN
cana-4727	80	12	|𝑉|	|𝑉|	NOUN
cana-4727	80	13	×	×	NOUN
cana-4727	80	14	|𝑉|	|𝑉|	NOUN
cana-4727	80	15	is	be	AUX
cana-4727	80	16	used	use	VERB
cana-4727	80	17	,	,	PUNCT
cana-4727	80	18	where	where	SCONJ
cana-4727	80	19	each	each	DET
cana-4727	80	20	element	element	NOUN
cana-4727	80	21	𝐴𝑖𝑗	𝐴𝑖𝑗	PROPN
cana-4727	80	22	represents	represent	VERB
cana-4727	80	23	the	the	DET
cana-4727	80	24	weight	weight	NOUN
cana-4727	80	25	of	of	ADP
cana-4727	80	26	the	the	DET
cana-4727	80	27	edge	edge	NOUN
cana-4727	80	28	between	between	ADP
cana-4727	80	29	vertices	vertex	NOUN
cana-4727	80	30	𝑣𝑖	𝑣𝑖	ADV
cana-4727	80	31	and	and	CCONJ
cana-4727	80	32	𝑣𝑗	𝑣𝑗	ADP
cana-4727	80	33	:	:	PUNCT
cana-4727	81	1	𝐴𝑖𝑗	𝐴𝑖𝑗	PROPN
cana-4727	81	2	=	=	SYM
cana-4727	81	3	{	{	PUNCT
cana-4727	81	4	𝑤𝑖𝑗	𝑤𝑖𝑗	PROPN
cana-4727	81	5	,	,	PUNCT
cana-4727	81	6	if	if	SCONJ
cana-4727	81	7	there	there	PRON
cana-4727	81	8	is	be	VERB
cana-4727	81	9	an	an	DET
cana-4727	81	10	edge	edge	NOUN
cana-4727	81	11	between	between	ADP
cana-4727	81	12	𝑣𝑖	𝑣𝑖	NOUN
cana-4727	81	13	and	and	CCONJ
cana-4727	81	14	𝑣𝑗	𝑣𝑗	ADP
cana-4727	81	15	0	0	NUM
cana-4727	81	16	,	,	PUNCT
cana-4727	81	17	otherwise	otherwise	ADV
cana-4727	81	18	the	the	DET
cana-4727	81	19	degree	degree	NOUN
cana-4727	81	20	𝑑(𝑣	𝑑(𝑣	NOUN
cana-4727	81	21	)	)	PUNCT
cana-4727	81	22	of	of	ADP
cana-4727	81	23	a	a	DET
cana-4727	81	24	vertex	vertex	NOUN
cana-4727	81	25	𝑣	𝑣	NOUN
cana-4727	81	26	is	be	AUX
cana-4727	81	27	the	the	DET
cana-4727	81	28	number	number	NOUN
cana-4727	81	29	of	of	ADP
cana-4727	81	30	edges	edge	NOUN
cana-4727	81	31	connected	connect	VERB
cana-4727	81	32	to	to	ADP
cana-4727	81	33	it	it	PRON
cana-4727	81	34	,	,	PUNCT
cana-4727	81	35	given	give	VERB
cana-4727	81	36	by	by	ADP
cana-4727	81	37	:	:	PUNCT
cana-4727	81	38	𝑑(𝑣	𝑑(𝑣	NOUN
cana-4727	81	39	)	)	PUNCT
cana-4727	81	40	=	=	PUNCT
cana-4727	82	1	∑	∑	PUNCT
cana-4727	82	2	  	  	SPACE
cana-4727	82	3	|𝑉|	|𝑉|	NOUN
cana-4727	82	4	𝑗=1	𝑗=1	PROPN
cana-4727	82	5	𝐴𝑣𝑗	𝐴𝑣𝑗	PROPN
cana-4727	82	6	for	for	ADP
cana-4727	82	7	a	a	DET
cana-4727	82	8	directed	direct	VERB
cana-4727	82	9	graph	graph	NOUN
cana-4727	82	10	,	,	PUNCT
cana-4727	82	11	the	the	DET
cana-4727	82	12	in	in	ADP
cana-4727	82	13	-	-	PUNCT
cana-4727	82	14	degree	degree	NOUN
cana-4727	82	15	and	and	CCONJ
cana-4727	82	16	out	out	NOUN
cana-4727	82	17	-	-	PUNCT
cana-4727	82	18	degree	degree	NOUN
cana-4727	82	19	of	of	ADP
cana-4727	82	20	a	a	DET
cana-4727	82	21	vertex	vertex	NOUN
cana-4727	82	22	are	be	AUX
cana-4727	82	23	computed	compute	VERB
cana-4727	82	24	as	as	ADP
cana-4727	82	25	:	:	PUNCT
cana-4727	82	26	in	in	ADP
cana-4727	82	27	-	-	PUNCT
cana-4727	82	28	degree	degree	NOUN
cana-4727	82	29	(	(	PUNCT
cana-4727	82	30	𝑣	𝑣	NOUN
cana-4727	82	31	)	)	PUNCT
cana-4727	82	32	=	=	PUNCT
cana-4727	82	33	∑	∑	ADP
cana-4727	82	34	  	  	SPACE
cana-4727	82	35	|𝑉|	|𝑉|	NOUN
cana-4727	82	36	𝑗=1	𝑗=1	PROPN
cana-4727	82	37	𝐴𝑗𝑣	𝐴𝑗𝑣	PROPN
cana-4727	82	38	,	,	PUNCT
cana-4727	82	39	out	out	ADJ
cana-4727	82	40	-	-	PUNCT
cana-4727	82	41	degree	degree	NOUN
cana-4727	82	42	(	(	PUNCT
cana-4727	82	43	𝑣	𝑣	NOUN
cana-4727	82	44	)	)	PUNCT
cana-4727	82	45	=	=	PUNCT
cana-4727	82	46	∑	∑	ADP
cana-4727	82	47	  	  	SPACE
cana-4727	82	48	|𝑉|	|𝑉|	NOUN
cana-4727	82	49	𝑗=1	𝑗=1	PROPN
cana-4727	82	50	𝐴𝑣𝑗	𝐴𝑣𝑗	PROPN
cana-4727	82	51	b.	b.	PROPN
cana-4727	82	52	graph	graph	NOUN
cana-4727	82	53	traversal	traversal	NOUN
cana-4727	82	54	and	and	CCONJ
cana-4727	82	55	shortest	short	ADJ
cana-4727	82	56	path	path	NOUN
cana-4727	82	57	computation	computation	NOUN
cana-4727	82	58	the	the	DET
cana-4727	82	59	traversal	traversal	NOUN
cana-4727	82	60	of	of	ADP
cana-4727	82	61	graphs	graph	NOUN
cana-4727	82	62	is	be	AUX
cana-4727	82	63	a	a	DET
cana-4727	82	64	fundamental	fundamental	ADJ
cana-4727	82	65	operation	operation	NOUN
cana-4727	82	66	in	in	ADP
cana-4727	82	67	many	many	ADJ
cana-4727	82	68	applications	application	NOUN
cana-4727	82	69	,	,	PUNCT
cana-4727	82	70	such	such	ADJ
cana-4727	82	71	as	as	ADP
cana-4727	82	72	network	network	NOUN
cana-4727	82	73	routing	routing	NOUN
cana-4727	82	74	and	and	CCONJ
cana-4727	82	75	search	search	NOUN
cana-4727	82	76	algorithms	algorithm	NOUN
cana-4727	82	77	.	.	PUNCT
cana-4727	83	1	two	two	NUM
cana-4727	83	2	standard	standard	ADJ
cana-4727	83	3	traversal	traversal	NOUN
cana-4727	83	4	methods	method	NOUN
cana-4727	83	5	are	be	AUX
cana-4727	83	6	:	:	PUNCT
cana-4727	83	7	communications	communication	NOUN
cana-4727	83	8	on	on	ADP
cana-4727	83	9	applied	apply	VERB
cana-4727	83	10	nonlinear	nonlinear	ADJ
cana-4727	83	11	analysis	analysis	NOUN
cana-4727	83	12	issn	issn	NOUN
cana-4727	83	13	:	:	PUNCT
cana-4727	83	14	1074	1074	NUM
cana-4727	83	15	-	-	PUNCT
cana-4727	83	16	133x	133x	NUM
cana-4727	83	17	vol	vol	VERB
cana-4727	83	18	32	32	NUM
cana-4727	83	19	no	no	NOUN
cana-4727	83	20	.	.	PUNCT
cana-4727	84	1	10s	10	NOUN
cana-4727	84	2	(	(	PUNCT
cana-4727	84	3	2025	2025	NUM
cana-4727	84	4	)	)	PUNCT
cana-4727	84	5	207	207	NUM
cana-4727	84	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	84	7	•	•	NOUN
cana-4727	84	8	breadth	breadth	NOUN
cana-4727	84	9	-	-	PUNCT
cana-4727	84	10	first	first	ADJ
cana-4727	84	11	search	search	NOUN
cana-4727	84	12	(	(	PUNCT
cana-4727	84	13	bfs	bfs	NOUN
cana-4727	84	14	):	):	PUNCT
cana-4727	84	15	used	use	VERB
cana-4727	84	16	for	for	ADP
cana-4727	84	17	finding	find	VERB
cana-4727	84	18	the	the	DET
cana-4727	84	19	shortest	short	ADJ
cana-4727	84	20	path	path	NOUN
cana-4727	84	21	in	in	ADP
cana-4727	84	22	an	an	DET
cana-4727	84	23	unweighted	unweighted	ADJ
cana-4727	84	24	graph	graph	NOUN
cana-4727	84	25	.	.	PUNCT
cana-4727	85	1	•	•	NUM
cana-4727	85	2	depth	depth	NOUN
cana-4727	85	3	-	-	PUNCT
cana-4727	85	4	first	first	ADJ
cana-4727	85	5	search	search	NOUN
cana-4727	85	6	(	(	PUNCT
cana-4727	85	7	dfs	dfs	PROPN
cana-4727	85	8	):	):	PUNCT
cana-4727	85	9	used	use	VERB
cana-4727	85	10	for	for	ADP
cana-4727	85	11	exploring	explore	VERB
cana-4727	85	12	all	all	DET
cana-4727	85	13	nodes	node	NOUN
cana-4727	85	14	in	in	ADP
cana-4727	85	15	a	a	DET
cana-4727	85	16	recursive	recursive	ADJ
cana-4727	85	17	manner	manner	NOUN
cana-4727	85	18	.	.	PUNCT
cana-4727	86	1	for	for	ADP
cana-4727	86	2	weighted	weighted	ADJ
cana-4727	86	3	graphs	graph	NOUN
cana-4727	86	4	,	,	PUNCT
cana-4727	86	5	dijkstra	dijkstra	PROPN
cana-4727	86	6	's	's	PART
cana-4727	86	7	algorithm	algorithm	NOUN
cana-4727	86	8	is	be	AUX
cana-4727	86	9	implemented	implement	VERB
cana-4727	86	10	to	to	PART
cana-4727	86	11	find	find	VERB
cana-4727	86	12	the	the	DET
cana-4727	86	13	shortest	short	ADJ
cana-4727	86	14	path	path	NOUN
cana-4727	86	15	𝑑(𝑠	𝑑(𝑠	PROPN
cana-4727	86	16	,	,	PUNCT
cana-4727	86	17	𝑣	𝑣	NOUN
cana-4727	86	18	)	)	PUNCT
cana-4727	86	19	from	from	ADP
cana-4727	86	20	a	a	DET
cana-4727	86	21	source	source	NOUN
cana-4727	86	22	node	node	NOUN
cana-4727	86	23	𝑠	𝑠	PROPN
cana-4727	86	24	to	to	ADP
cana-4727	86	25	a	a	DET
cana-4727	86	26	target	target	NOUN
cana-4727	86	27	node	node	ADJ
cana-4727	86	28	𝑣	𝑣	X
cana-4727	86	29	:	:	PUNCT
cana-4727	86	30	𝑑(𝑠	𝑑(𝑠	PROPN
cana-4727	86	31	,	,	PUNCT
cana-4727	86	32	𝑣	𝑣	NOUN
cana-4727	86	33	)	)	PUNCT
cana-4727	86	34	=	=	SYM
cana-4727	86	35	min(𝑑(𝑠	min(𝑑(𝑠	PROPN
cana-4727	86	36	,	,	PUNCT
cana-4727	86	37	𝑢	𝑢	X
cana-4727	86	38	)	)	PUNCT
cana-4727	86	39	+	+	CCONJ
cana-4727	86	40	𝑤𝑢𝑣	𝑤𝑢𝑣	NOUN
cana-4727	86	41	)	)	PUNCT
cana-4727	86	42	,	,	PUNCT
cana-4727	86	43	∀𝑢	∀𝑢	DET
cana-4727	86	44	∈	∈	PROPN
cana-4727	86	45	𝑉	𝑉	PROPN
cana-4727	86	46	where	where	SCONJ
cana-4727	86	47	𝑤𝑢𝑣	𝑤𝑢𝑣	NOUN
cana-4727	86	48	is	be	AUX
cana-4727	86	49	the	the	DET
cana-4727	86	50	weight	weight	NOUN
cana-4727	86	51	of	of	ADP
cana-4727	86	52	the	the	DET
cana-4727	86	53	edge	edge	NOUN
cana-4727	86	54	between	between	ADP
cana-4727	86	55	nodes	node	NOUN
cana-4727	86	56	𝑢	𝑢	NOUN
cana-4727	86	57	and	and	CCONJ
cana-4727	86	58	𝑣.	𝑣.	PROPN
cana-4727	86	59	c.	c.	PROPN
cana-4727	86	60	minimum	minimum	PROPN
cana-4727	86	61	spanning	span	VERB
cana-4727	86	62	tree	tree	NOUN
cana-4727	86	63	(	(	PUNCT
cana-4727	86	64	mst	mst	PROPN
cana-4727	86	65	)	)	PUNCT
cana-4727	86	66	and	and	CCONJ
cana-4727	86	67	network	network	NOUN
cana-4727	86	68	optimization	optimization	NOUN
cana-4727	86	69	graph	graph	NOUN
cana-4727	86	70	-	-	PUNCT
cana-4727	86	71	based	base	VERB
cana-4727	86	72	optimization	optimization	NOUN
cana-4727	86	73	problems	problem	NOUN
cana-4727	86	74	often	often	ADV
cana-4727	86	75	require	require	VERB
cana-4727	86	76	finding	find	VERB
cana-4727	86	77	the	the	DET
cana-4727	86	78	minimum	minimum	ADJ
cana-4727	86	79	spanning	span	VERB
cana-4727	86	80	tree	tree	NOUN
cana-4727	86	81	(	(	PUNCT
cana-4727	86	82	mst	mst	PROPN
cana-4727	86	83	)	)	PUNCT
cana-4727	86	84	to	to	PART
cana-4727	86	85	connect	connect	VERB
cana-4727	86	86	all	all	DET
cana-4727	86	87	nodes	node	NOUN
cana-4727	86	88	with	with	ADP
cana-4727	86	89	minimal	minimal	ADJ
cana-4727	86	90	total	total	ADJ
cana-4727	86	91	edge	edge	NOUN
cana-4727	86	92	weight	weight	NOUN
cana-4727	86	93	.	.	PUNCT
cana-4727	87	1	prim	prim	PROPN
cana-4727	87	2	's	's	PART
cana-4727	87	3	and	and	CCONJ
cana-4727	87	4	kruskal	kruskal	NOUN
cana-4727	87	5	's	's	PART
cana-4727	87	6	algorithms	algorithm	NOUN
cana-4727	87	7	are	be	AUX
cana-4727	87	8	widely	widely	ADV
cana-4727	87	9	used	use	VERB
cana-4727	87	10	for	for	ADP
cana-4727	87	11	this	this	DET
cana-4727	87	12	purpose	purpose	NOUN
cana-4727	87	13	.	.	PUNCT
cana-4727	88	1	the	the	DET
cana-4727	88	2	mst	mst	PROPN
cana-4727	88	3	problem	problem	NOUN
cana-4727	88	4	is	be	AUX
cana-4727	88	5	mathematically	mathematically	ADV
cana-4727	88	6	formulated	formulate	VERB
cana-4727	88	7	as	as	ADP
cana-4727	88	8	:	:	PUNCT
cana-4727	88	9	min	min	VERB
cana-4727	88	10	∑	∑	PROPN
cana-4727	88	11	  	  	SPACE
cana-4727	88	12	(	(	PUNCT
cana-4727	88	13	𝑢,𝑣)∈𝐸	𝑢,𝑣)∈𝐸	ADJ
cana-4727	88	14	𝑤𝑤𝑥𝑥𝑢𝑣	𝑤𝑤𝑥𝑥𝑢𝑣	NOUN
cana-4727	88	15	subject	subject	ADJ
cana-4727	88	16	to	to	ADP
cana-4727	88	17	:	:	PUNCT
cana-4727	88	18	∑	∑	PUNCT
cana-4727	88	19	  	  	SPACE
cana-4727	88	20	(	(	PUNCT
cana-4727	88	21	𝑢,𝑣)∈𝑆	𝑢,𝑣)∈𝑆	VERB
cana-4727	88	22	𝑥𝑤𝑤	𝑥𝑤𝑤	VERB
cana-4727	88	23	≤	≤	PROPN
cana-4727	88	24	|𝑆|	|𝑆|	VERB
cana-4727	88	25	−	−	NOUN
cana-4727	88	26	1	1	NUM
cana-4727	88	27	,	,	PUNCT
cana-4727	88	28	∀𝑆	∀𝑆	PUNCT
cana-4727	88	29	⊂	⊂	PROPN
cana-4727	88	30	𝑉	𝑉	PROPN
cana-4727	88	31	where	where	SCONJ
cana-4727	88	32	𝑥𝑢𝑣	𝑥𝑢𝑣	NOUN
cana-4727	88	33	is	be	AUX
cana-4727	88	34	a	a	DET
cana-4727	88	35	binary	binary	ADJ
cana-4727	88	36	variable	variable	NOUN
cana-4727	88	37	indicating	indicate	VERB
cana-4727	88	38	whether	whether	SCONJ
cana-4727	88	39	edge	edge	NOUN
cana-4727	88	40	(	(	PUNCT
cana-4727	88	41	𝑢	𝑢	X
cana-4727	88	42	,	,	PUNCT
cana-4727	88	43	𝑣	𝑣	NOUN
cana-4727	88	44	)	)	PUNCT
cana-4727	88	45	is	be	AUX
cana-4727	88	46	included	include	VERB
cana-4727	88	47	in	in	ADP
cana-4727	88	48	the	the	DET
cana-4727	88	49	mst	mst	PROPN
cana-4727	88	50	.	.	PUNCT
cana-4727	89	1	d.	d.	PROPN
cana-4727	89	2	graph	graph	NOUN
cana-4727	89	3	partitioning	partition	VERB
cana-4727	89	4	and	and	CCONJ
cana-4727	89	5	clustering	clustering	ADJ
cana-4727	89	6	graph	graph	NOUN
cana-4727	89	7	partitioning	partitioning	NOUN
cana-4727	89	8	involves	involve	NOUN
cana-4727	89	9	dividing	divide	VERB
cana-4727	89	10	a	a	DET
cana-4727	89	11	large	large	ADJ
cana-4727	89	12	graph	graph	NOUN
cana-4727	89	13	into	into	ADP
cana-4727	89	14	smaller	small	ADJ
cana-4727	89	15	subgraphs	subgraph	NOUN
cana-4727	89	16	while	while	SCONJ
cana-4727	89	17	minimizing	minimize	VERB
cana-4727	89	18	edge	edge	NOUN
cana-4727	89	19	cuts	cut	NOUN
cana-4727	89	20	between	between	ADP
cana-4727	89	21	partitions	partition	NOUN
cana-4727	89	22	.	.	PUNCT
cana-4727	90	1	the	the	DET
cana-4727	90	2	spectral	spectral	ADJ
cana-4727	90	3	clustering	clustering	NOUN
cana-4727	90	4	method	method	NOUN
cana-4727	90	5	is	be	AUX
cana-4727	90	6	commonly	commonly	ADV
cana-4727	90	7	used	use	VERB
cana-4727	90	8	,	,	PUNCT
cana-4727	90	9	where	where	SCONJ
cana-4727	90	10	the	the	DET
cana-4727	90	11	laplacian	laplacian	ADJ
cana-4727	90	12	matrix	matrix	NOUN
cana-4727	90	13	𝐿	𝐿	PROPN
cana-4727	90	14	is	be	AUX
cana-4727	90	15	computed	compute	VERB
cana-4727	90	16	as	as	ADP
cana-4727	90	17	:	:	PUNCT
cana-4727	90	18	𝐿	𝐿	PROPN
cana-4727	90	19	=	=	PROPN
cana-4727	90	20	𝐷	𝐷	PROPN
cana-4727	90	21	−	−	PROPN
cana-4727	90	22	𝐴	𝐴	PROPN
cana-4727	90	23	where	where	SCONJ
cana-4727	90	24	𝐷	𝐷	PROPN
cana-4727	90	25	is	be	AUX
cana-4727	90	26	the	the	DET
cana-4727	90	27	diagonal	diagonal	ADJ
cana-4727	90	28	degree	degree	NOUN
cana-4727	90	29	matrix	matrix	NOUN
cana-4727	90	30	and	and	CCONJ
cana-4727	90	31	𝐴	𝐴	PROPN
cana-4727	90	32	is	be	AUX
cana-4727	90	33	the	the	DET
cana-4727	90	34	adjacency	adjacency	NOUN
cana-4727	90	35	matrix	matrix	NOUN
cana-4727	90	36	.	.	PUNCT
cana-4727	91	1	the	the	DET
cana-4727	91	2	eigenvalues	eigenvalue	NOUN
cana-4727	91	3	of	of	ADP
cana-4727	91	4	𝐿	𝐿	PROPN
cana-4727	91	5	provide	provide	VERB
cana-4727	91	6	insights	insight	NOUN
cana-4727	91	7	into	into	ADP
cana-4727	91	8	the	the	DET
cana-4727	91	9	connectivity	connectivity	NOUN
cana-4727	91	10	of	of	ADP
cana-4727	91	11	the	the	DET
cana-4727	91	12	graph	graph	NOUN
cana-4727	91	13	,	,	PUNCT
cana-4727	91	14	helping	help	VERB
cana-4727	91	15	to	to	PART
cana-4727	91	16	determine	determine	VERB
cana-4727	91	17	optimal	optimal	ADJ
cana-4727	91	18	partitions	partition	NOUN
cana-4727	91	19	.	.	PUNCT
cana-4727	92	1	for	for	ADP
cana-4727	92	2	clustering	clustering	NOUN
cana-4727	92	3	,	,	PUNCT
cana-4727	92	4	the	the	DET
cana-4727	92	5	modularity	modularity	NOUN
cana-4727	92	6	function	function	NOUN
cana-4727	92	7	𝑄	𝑄	PRON
cana-4727	92	8	is	be	AUX
cana-4727	92	9	used	use	VERB
cana-4727	92	10	to	to	PART
cana-4727	92	11	measure	measure	VERB
cana-4727	92	12	the	the	DET
cana-4727	92	13	quality	quality	NOUN
cana-4727	92	14	of	of	ADP
cana-4727	92	15	partitioning	partition	VERB
cana-4727	92	16	:	:	PUNCT
cana-4727	92	17	𝑄	𝑄	PROPN
cana-4727	92	18	=	=	SYM
cana-4727	92	19	1	1	NUM
cana-4727	92	20	2𝑚	2𝑚	NUM
cana-4727	92	21	∑	∑	ADP
cana-4727	92	22	  	  	SPACE
cana-4727	92	23	𝑖,𝑗	𝑖,𝑗	PROPN
cana-4727	92	24	(	(	PUNCT
cana-4727	92	25	𝐴𝑖𝑗	𝐴𝑖𝑗	PROPN
cana-4727	92	26	−	−	PROPN
cana-4727	92	27	𝑑𝑖𝑑𝑗	𝑑𝑖𝑑𝑗	NOUN
cana-4727	92	28	2𝑚	2𝑚	NOUN
cana-4727	92	29	)	)	PUNCT
cana-4727	92	30	𝛿(𝑐𝑖	𝛿(𝑐𝑖	NOUN
cana-4727	92	31	,	,	PUNCT
cana-4727	92	32	𝑐𝑗	𝑐𝑗	NOUN
cana-4727	92	33	)	)	PUNCT
cana-4727	92	34	where	where	SCONJ
cana-4727	92	35	𝑚	𝑚	PROPN
cana-4727	92	36	is	be	AUX
cana-4727	92	37	the	the	DET
cana-4727	92	38	total	total	ADJ
cana-4727	92	39	number	number	NOUN
cana-4727	92	40	of	of	ADP
cana-4727	92	41	edges	edge	NOUN
cana-4727	92	42	,	,	PUNCT
cana-4727	92	43	𝑑𝑖	𝑑𝑖	PROPN
cana-4727	92	44	and	and	CCONJ
cana-4727	92	45	𝑑𝑗	𝑑𝑗	PROPN
cana-4727	92	46	are	be	AUX
cana-4727	92	47	node	node	ADJ
cana-4727	92	48	degrees	degree	NOUN
cana-4727	92	49	,	,	PUNCT
cana-4727	92	50	and	and	CCONJ
cana-4727	92	51	𝑐𝑖	𝑐𝑖	NOUN
cana-4727	92	52	,	,	PUNCT
cana-4727	92	53	𝑐𝑗	𝑐𝑗	PROPN
cana-4727	92	54	represent	represent	VERB
cana-4727	92	55	cluster	cluster	NOUN
cana-4727	92	56	assignments	assignment	NOUN
cana-4727	92	57	.	.	PUNCT
cana-4727	93	1	communications	communication	NOUN
cana-4727	93	2	on	on	ADP
cana-4727	93	3	applied	apply	VERB
cana-4727	93	4	nonlinear	nonlinear	ADJ
cana-4727	93	5	analysis	analysis	NOUN
cana-4727	93	6	issn	issn	NOUN
cana-4727	93	7	:	:	PUNCT
cana-4727	93	8	1074	1074	NUM
cana-4727	93	9	-	-	PUNCT
cana-4727	93	10	133x	133x	NUM
cana-4727	93	11	vol	vol	VERB
cana-4727	93	12	32	32	NUM
cana-4727	93	13	no	no	NOUN
cana-4727	93	14	.	.	PUNCT
cana-4727	94	1	10s	10	NOUN
cana-4727	94	2	(	(	PUNCT
cana-4727	94	3	2025	2025	NUM
cana-4727	94	4	)	)	PUNCT
cana-4727	94	5	208	208	NUM
cana-4727	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	94	7	e.	e.	PROPN
cana-4727	94	8	proposed	propose	VERB
cana-4727	94	9	algorithm	algorithm	PROPN
cana-4727	94	10	implementation	implementation	NOUN
cana-4727	94	11	the	the	DET
cana-4727	94	12	methodology	methodology	NOUN
cana-4727	94	13	follows	follow	VERB
cana-4727	94	14	a	a	DET
cana-4727	94	15	structured	structured	ADJ
cana-4727	94	16	approach	approach	NOUN
cana-4727	94	17	to	to	ADP
cana-4727	94	18	process	process	NOUN
cana-4727	94	19	graph	graph	NOUN
cana-4727	94	20	-	-	PUNCT
cana-4727	94	21	based	base	VERB
cana-4727	94	22	data	datum	NOUN
cana-4727	94	23	efficiently	efficiently	ADV
cana-4727	94	24	:	:	PUNCT
cana-4727	94	25	1	1	X
cana-4727	94	26	.	.	X
cana-4727	94	27	graph	graph	NOUN
cana-4727	94	28	construction	construction	NOUN
cana-4727	94	29	:	:	PUNCT
cana-4727	94	30	input	input	NOUN
cana-4727	94	31	data	datum	NOUN
cana-4727	94	32	is	be	AUX
cana-4727	94	33	transformed	transform	VERB
cana-4727	94	34	into	into	ADP
cana-4727	94	35	an	an	DET
cana-4727	94	36	adjacency	adjacency	NOUN
cana-4727	94	37	matrix	matrix	NOUN
cana-4727	94	38	representation	representation	NOUN
cana-4727	94	39	.	.	PUNCT
cana-4727	95	1	2	2	X
cana-4727	95	2	.	.	X
cana-4727	95	3	preprocessing	preprocesse	VERB
cana-4727	95	4	:	:	PUNCT
cana-4727	95	5	irrelevant	irrelevant	ADJ
cana-4727	95	6	nodes	node	NOUN
cana-4727	95	7	and	and	CCONJ
cana-4727	95	8	edges	edge	NOUN
cana-4727	95	9	are	be	AUX
cana-4727	95	10	filtered	filter	VERB
cana-4727	95	11	to	to	PART
cana-4727	95	12	reduce	reduce	VERB
cana-4727	95	13	computational	computational	ADJ
cana-4727	95	14	complexity	complexity	NOUN
cana-4727	95	15	.	.	PUNCT
cana-4727	96	1	3	3	X
cana-4727	96	2	.	.	X
cana-4727	96	3	graph	graph	NOUN
cana-4727	96	4	analysis	analysis	NOUN
cana-4727	96	5	:	:	PUNCT
cana-4727	96	6	algorithms	algorithm	NOUN
cana-4727	96	7	for	for	ADP
cana-4727	96	8	shortest	short	ADJ
cana-4727	96	9	path	path	NOUN
cana-4727	96	10	,	,	PUNCT
cana-4727	96	11	mst	mst	PROPN
cana-4727	96	12	,	,	PUNCT
cana-4727	96	13	and	and	CCONJ
cana-4727	96	14	clustering	clustering	NOUN
cana-4727	96	15	are	be	AUX
cana-4727	96	16	applied	apply	VERB
cana-4727	96	17	.	.	PUNCT
cana-4727	97	1	4	4	X
cana-4727	97	2	.	.	X
cana-4727	97	3	optimization	optimization	NOUN
cana-4727	97	4	&	&	CCONJ
cana-4727	97	5	evaluation	evaluation	NOUN
cana-4727	97	6	:	:	PUNCT
cana-4727	97	7	the	the	DET
cana-4727	97	8	performance	performance	NOUN
cana-4727	97	9	of	of	ADP
cana-4727	97	10	graph	graph	NOUN
cana-4727	97	11	algorithms	algorithm	NOUN
cana-4727	97	12	is	be	AUX
cana-4727	97	13	measured	measure	VERB
cana-4727	97	14	using	use	VERB
cana-4727	97	15	metrics	metric	NOUN
cana-4727	97	16	such	such	ADJ
cana-4727	97	17	as	as	ADP
cana-4727	97	18	computational	computational	ADJ
cana-4727	97	19	time	time	NOUN
cana-4727	97	20	,	,	PUNCT
cana-4727	97	21	scalability	scalability	NOUN
cana-4727	97	22	,	,	PUNCT
cana-4727	97	23	and	and	CCONJ
cana-4727	97	24	accuracy	accuracy	NOUN
cana-4727	97	25	.	.	PUNCT
cana-4727	98	1	a	a	DET
cana-4727	98	2	flowchart	flowchart	NOUN
cana-4727	98	3	representing	represent	VERB
cana-4727	98	4	the	the	DET
cana-4727	98	5	proposed	propose	VERB
cana-4727	98	6	methodology	methodology	NOUN
cana-4727	98	7	is	be	AUX
cana-4727	98	8	illustrated	illustrate	VERB
cana-4727	98	9	below	below	ADV
cana-4727	98	10	:	:	PUNCT
cana-4727	98	11	figure	figure	VERB
cana-4727	98	12	1	1	NUM
cana-4727	98	13	:	:	PUNCT
cana-4727	98	14	graph	graph	NOUN
cana-4727	98	15	processing	processing	NOUN
cana-4727	98	16	and	and	CCONJ
cana-4727	98	17	optimization	optimization	NOUN
cana-4727	98	18	framework	framework	NOUN
cana-4727	98	19	communications	communication	NOUN
cana-4727	98	20	on	on	ADP
cana-4727	98	21	applied	apply	VERB
cana-4727	98	22	nonlinear	nonlinear	ADJ
cana-4727	98	23	analysis	analysis	NOUN
cana-4727	98	24	issn	issn	NOUN
cana-4727	98	25	:	:	PUNCT
cana-4727	98	26	1074	1074	NUM
cana-4727	98	27	-	-	PUNCT
cana-4727	98	28	133x	133x	NUM
cana-4727	98	29	vol	vol	VERB
cana-4727	98	30	32	32	NUM
cana-4727	98	31	no	no	NOUN
cana-4727	98	32	.	.	PUNCT
cana-4727	99	1	10s	10	NOUN
cana-4727	99	2	(	(	PUNCT
cana-4727	99	3	2025	2025	NUM
cana-4727	99	4	)	)	PUNCT
cana-4727	99	5	209	209	NUM
cana-4727	99	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	99	7	f.	f.	PROPN
cana-4727	99	8	complexity	complexity	PROPN
cana-4727	99	9	analysis	analysis	NOUN
cana-4727	99	10	and	and	CCONJ
cana-4727	99	11	performance	performance	NOUN
cana-4727	99	12	optimization	optimization	NOUN
cana-4727	99	13	the	the	DET
cana-4727	99	14	efficiency	efficiency	NOUN
cana-4727	99	15	of	of	ADP
cana-4727	99	16	graph	graph	NOUN
cana-4727	99	17	algorithms	algorithm	NOUN
cana-4727	99	18	is	be	AUX
cana-4727	99	19	analyzed	analyze	VERB
cana-4727	99	20	based	base	VERB
cana-4727	99	21	on	on	ADP
cana-4727	99	22	time	time	NOUN
cana-4727	99	23	complexity	complexity	NOUN
cana-4727	99	24	:	:	PUNCT
cana-4727	99	25	•	•	NUM
cana-4727	99	26	bfs	bfs	NOUN
cana-4727	99	27	&	&	CCONJ
cana-4727	99	28	dfs	dfs	PROPN
cana-4727	99	29	:	:	PUNCT
cana-4727	99	30	𝑂(|𝑉|	𝑂(|𝑉|	NOUN
cana-4727	99	31	+	+	NUM
cana-4727	99	32	|𝐸|	|𝐸|	NOUN
cana-4727	99	33	)	)	PUNCT
cana-4727	99	34	•	•	NUM
cana-4727	99	35	dijkstra	dijkstra	PROPN
cana-4727	99	36	's	's	PART
cana-4727	99	37	algorithm	algorithm	NOUN
cana-4727	99	38	:	:	PUNCT
cana-4727	99	39	𝑂(|𝑉|2	𝑂(|𝑉|2	PROPN
cana-4727	99	40	)	)	PUNCT
cana-4727	99	41	(	(	PUNCT
cana-4727	99	42	with	with	ADP
cana-4727	99	43	an	an	DET
cana-4727	99	44	adjacency	adjacency	NOUN
cana-4727	99	45	matrix	matrix	NOUN
cana-4727	99	46	)	)	PUNCT
cana-4727	99	47	or	or	CCONJ
cana-4727	99	48	𝑂(|𝐸|	𝑂(|𝐸|	PROPN
cana-4727	99	49	+	+	CCONJ
cana-4727	99	50	|𝑉|log	|𝑉|log	PROPN
cana-4727	99	51	|𝑉|	|𝑉|	NOUN
cana-4727	99	52	)	)	PUNCT
cana-4727	99	53	(	(	PUNCT
cana-4727	99	54	with	with	ADP
cana-4727	99	55	a	a	DET
cana-4727	99	56	priority	priority	NOUN
cana-4727	99	57	queue	queue	NOUN
cana-4727	99	58	)	)	PUNCT
cana-4727	99	59	•	•	NOUN
cana-4727	99	60	prim	prim	PROPN
cana-4727	99	61	's	's	PART
cana-4727	99	62	mst	mst	PROPN
cana-4727	99	63	algorithm	algorithm	NOUN
cana-4727	99	64	:	:	PUNCT
cana-4727	99	65	𝑂(|𝐸|	𝑂(|𝐸|	PROPN
cana-4727	99	66	+	+	SYM
cana-4727	99	67	|𝑉|log	|𝑉|log	PROPN
cana-4727	99	68	|𝑉|	|𝑉|	NOUN
cana-4727	99	69	)	)	PUNCT
cana-4727	99	70	•	•	NUM
cana-4727	99	71	kruskal	kruskal	PROPN
cana-4727	99	72	's	's	PART
cana-4727	99	73	mst	mst	PROPN
cana-4727	99	74	algorithm	algorithm	NOUN
cana-4727	99	75	:	:	PUNCT
cana-4727	99	76	𝑂(|𝐸|log	𝑂(|𝐸|log	NOUN
cana-4727	99	77	|𝑉|	|𝑉|	NOUN
cana-4727	99	78	)	)	PUNCT
cana-4727	99	79	•	•	NUM
cana-4727	99	80	spectral	spectral	ADJ
cana-4727	99	81	clustering	clustering	NOUN
cana-4727	99	82	:	:	PUNCT
cana-4727	99	83	𝑂(|𝑉|3	𝑂(|𝑉|3	PROPN
cana-4727	99	84	)	)	PUNCT
cana-4727	99	85	,	,	PUNCT
cana-4727	99	86	depending	depend	VERB
cana-4727	99	87	on	on	ADP
cana-4727	99	88	eigenvalue	eigenvalue	ADJ
cana-4727	99	89	decomposition	decomposition	NOUN
cana-4727	99	90	to	to	PART
cana-4727	99	91	improve	improve	VERB
cana-4727	99	92	efficiency	efficiency	NOUN
cana-4727	99	93	,	,	PUNCT
cana-4727	99	94	parallel	parallel	ADJ
cana-4727	99	95	computing	computing	NOUN
cana-4727	99	96	and	and	CCONJ
cana-4727	99	97	distributed	distribute	VERB
cana-4727	99	98	graph	graph	NOUN
cana-4727	99	99	frameworks	framework	NOUN
cana-4727	99	100	are	be	AUX
cana-4727	99	101	explored	explore	VERB
cana-4727	99	102	,	,	PUNCT
cana-4727	99	103	allowing	allow	VERB
cana-4727	99	104	scalability	scalability	NOUN
cana-4727	99	105	in	in	ADP
cana-4727	99	106	large	large	ADJ
cana-4727	99	107	datasets	dataset	NOUN
cana-4727	99	108	.	.	PUNCT
cana-4727	100	1	the	the	DET
cana-4727	100	2	proposed	propose	VERB
cana-4727	100	3	methodology	methodology	NOUN
cana-4727	100	4	integrates	integrate	VERB
cana-4727	100	5	fundamental	fundamental	ADJ
cana-4727	100	6	graph	graph	NOUN
cana-4727	100	7	algorithms	algorithm	NOUN
cana-4727	100	8	with	with	ADP
cana-4727	100	9	modern	modern	ADJ
cana-4727	100	10	optimization	optimization	NOUN
cana-4727	100	11	techniques	technique	NOUN
cana-4727	100	12	,	,	PUNCT
cana-4727	100	13	enhancing	enhance	VERB
cana-4727	100	14	computational	computational	ADJ
cana-4727	100	15	efficiency	efficiency	NOUN
cana-4727	100	16	and	and	CCONJ
cana-4727	100	17	scalability	scalability	NOUN
cana-4727	100	18	.	.	PUNCT
cana-4727	101	1	by	by	ADP
cana-4727	101	2	leveraging	leverage	VERB
cana-4727	101	3	shortest	short	ADJ
cana-4727	101	4	path	path	NOUN
cana-4727	101	5	calculations	calculation	NOUN
cana-4727	101	6	,	,	PUNCT
cana-4727	101	7	minimum	minimum	ADJ
cana-4727	101	8	spanning	span	VERB
cana-4727	101	9	trees	tree	NOUN
cana-4727	101	10	,	,	PUNCT
cana-4727	101	11	and	and	CCONJ
cana-4727	101	12	spectral	spectral	ADJ
cana-4727	101	13	clustering	clustering	NOUN
cana-4727	101	14	,	,	PUNCT
cana-4727	101	15	this	this	DET
cana-4727	101	16	study	study	NOUN
cana-4727	101	17	aims	aim	VERB
cana-4727	101	18	to	to	PART
cana-4727	101	19	optimize	optimize	VERB
cana-4727	101	20	large	large	ADJ
cana-4727	101	21	-	-	PUNCT
cana-4727	101	22	scale	scale	NOUN
cana-4727	101	23	network	network	NOUN
cana-4727	101	24	problems	problem	NOUN
cana-4727	101	25	efficiently	efficiently	ADV
cana-4727	101	26	.	.	PUNCT
cana-4727	102	1	the	the	DET
cana-4727	102	2	next	next	ADJ
cana-4727	102	3	section	section	NOUN
cana-4727	102	4	presents	present	VERB
cana-4727	102	5	the	the	DET
cana-4727	102	6	experimental	experimental	ADJ
cana-4727	102	7	results	result	NOUN
cana-4727	102	8	and	and	CCONJ
cana-4727	102	9	discussions	discussion	NOUN
cana-4727	102	10	based	base	VERB
cana-4727	102	11	on	on	ADP
cana-4727	102	12	various	various	ADJ
cana-4727	102	13	datasets	dataset	NOUN
cana-4727	102	14	[	[	X
cana-4727	102	15	17	17	NUM
cana-4727	102	16	]	]	PUNCT
cana-4727	102	17	.	.	PUNCT
cana-4727	103	1	iv	iv	X
cana-4727	103	2	.	.	PROPN
cana-4727	103	3	result	result	PROPN
cana-4727	103	4	&	&	CCONJ
cana-4727	103	5	discussions	discussion	NOUN
cana-4727	103	6	the	the	DET
cana-4727	103	7	proposed	propose	VERB
cana-4727	103	8	framework	framework	NOUN
cana-4727	103	9	applied	apply	VERB
cana-4727	103	10	to	to	ADP
cana-4727	103	11	graph	graph	VERB
cana-4727	103	12	optimization	optimization	NOUN
cana-4727	103	13	processes	process	NOUN
cana-4727	103	14	achieved	achieve	VERB
cana-4727	103	15	performance	performance	NOUN
cana-4727	103	16	evaluation	evaluation	NOUN
cana-4727	103	17	across	across	ADP
cana-4727	103	18	different	different	ADJ
cana-4727	103	19	datasets	dataset	NOUN
cana-4727	103	20	for	for	ADP
cana-4727	103	21	solving	solve	VERB
cana-4727	103	22	shortest	short	ADJ
cana-4727	103	23	path	path	NOUN
cana-4727	103	24	problems	problem	NOUN
cana-4727	103	25	and	and	CCONJ
cana-4727	103	26	finding	find	VERB
cana-4727	103	27	minimum	minimum	ADJ
cana-4727	103	28	spanning	span	VERB
cana-4727	103	29	trees	tree	NOUN
cana-4727	103	30	along	along	ADP
cana-4727	103	31	with	with	ADP
cana-4727	103	32	clustering	clustering	NOUN
cana-4727	103	33	.	.	PUNCT
cana-4727	104	1	analysis	analysis	NOUN
cana-4727	104	2	of	of	ADP
cana-4727	104	3	the	the	DET
cana-4727	104	4	proposed	propose	VERB
cana-4727	104	5	methodology	methodology	NOUN
cana-4727	104	6	included	include	VERB
cana-4727	104	7	testing	testing	NOUN
cana-4727	104	8	on	on	ADP
cana-4727	104	9	synthetic	synthetic	ADJ
cana-4727	104	10	and	and	CCONJ
cana-4727	104	11	realworld	realworld	NOUN
cana-4727	104	12	graphs	graph	NOUN
cana-4727	104	13	through	through	ADP
cana-4727	104	14	graphical	graphical	ADJ
cana-4727	104	15	and	and	CCONJ
cana-4727	104	16	tabular	tabular	PROPN
cana-4727	104	17	result	result	NOUN
cana-4727	104	18	display	display	NOUN
cana-4727	104	19	to	to	PART
cana-4727	104	20	demonstrate	demonstrate	VERB
cana-4727	104	21	its	its	PRON
cana-4727	104	22	effectiveness	effectiveness	NOUN
cana-4727	104	23	[	[	X
cana-4727	104	24	18	18	NUM
cana-4727	104	25	]	]	PUNCT
cana-4727	104	26	.	.	PUNCT
cana-4727	105	1	the	the	DET
cana-4727	105	2	analysis	analysis	NOUN
cana-4727	105	3	of	of	ADP
cana-4727	105	4	shortest	short	ADJ
cana-4727	105	5	path	path	NOUN
cana-4727	105	6	computation	computation	NOUN
cana-4727	105	7	based	base	VERB
cana-4727	105	8	on	on	ADP
cana-4727	105	9	dijkstra	dijkstra	PROPN
cana-4727	105	10	's	's	PART
cana-4727	105	11	algorithm	algorithm	NOUN
cana-4727	105	12	operated	operate	VERB
cana-4727	105	13	on	on	ADP
cana-4727	105	14	graphs	graph	NOUN
cana-4727	105	15	of	of	ADP
cana-4727	105	16	different	different	ADJ
cana-4727	105	17	sizes	size	NOUN
cana-4727	105	18	served	serve	VERB
cana-4727	105	19	as	as	ADP
cana-4727	105	20	the	the	DET
cana-4727	105	21	starting	starting	NOUN
cana-4727	105	22	point	point	NOUN
cana-4727	105	23	of	of	ADP
cana-4727	105	24	the	the	DET
cana-4727	105	25	experiments	experiment	NOUN
cana-4727	105	26	.	.	PUNCT
cana-4727	106	1	during	during	ADP
cana-4727	106	2	tests	test	NOUN
cana-4727	106	3	we	we	PRON
cana-4727	106	4	measured	measure	VERB
cana-4727	106	5	the	the	DET
cana-4727	106	6	time	time	NOUN
cana-4727	106	7	required	require	VERB
cana-4727	106	8	for	for	ADP
cana-4727	106	9	computations	computation	NOUN
cana-4727	106	10	involving	involve	VERB
cana-4727	106	11	different	different	ADJ
cana-4727	106	12	network	network	NOUN
cana-4727	106	13	and	and	CCONJ
cana-4727	106	14	edge	edge	NOUN
cana-4727	106	15	densities	density	NOUN
cana-4727	106	16	.	.	PUNCT
cana-4727	107	1	according	accord	VERB
cana-4727	107	2	to	to	ADP
cana-4727	107	3	figure1	figure1	PROPN
cana-4727	107	4	the	the	DET
cana-4727	107	5	computational	computational	ADJ
cana-4727	107	6	time	time	NOUN
cana-4727	107	7	increases	increase	VERB
cana-4727	107	8	at	at	ADP
cana-4727	107	9	an	an	DET
cana-4727	107	10	exponential	exponential	ADJ
cana-4727	107	11	rate	rate	NOUN
cana-4727	107	12	when	when	SCONJ
cana-4727	107	13	the	the	DET
cana-4727	107	14	network	network	NOUN
cana-4727	107	15	nodes	node	NOUN
cana-4727	107	16	grow	grow	VERB
cana-4727	107	17	.	.	PUNCT
cana-4727	108	1	the	the	DET
cana-4727	108	2	expected	expect	VERB
cana-4727	108	3	outcome	outcome	NOUN
cana-4727	108	4	occurs	occur	VERB
cana-4727	108	5	because	because	SCONJ
cana-4727	108	6	dijkstra	dijkstra	PROPN
cana-4727	108	7	’s	’s	PART
cana-4727	108	8	algorithm	algorithm	NOUN
cana-4727	108	9	uses	use	VERB
cana-4727	108	10	o(∣v|2	o(∣v|2	PROPN
cana-4727	108	11	)	)	PUNCT
cana-4727	108	12	when	when	SCONJ
cana-4727	108	13	implemented	implement	VERB
cana-4727	108	14	with	with	ADP
cana-4727	108	15	an	an	DET
cana-4727	108	16	adjacency	adjacency	NOUN
cana-4727	108	17	matrix	matrix	NOUN
cana-4727	108	18	and	and	CCONJ
cana-4727	108	19	o(∣e∣+∣v∣log∣v∣	o(∣e∣+∣v∣log∣v∣	PROPN
cana-4727	108	20	)	)	PUNCT
cana-4727	108	21	when	when	SCONJ
cana-4727	108	22	using	use	VERB
cana-4727	108	23	a	a	DET
cana-4727	108	24	priority	priority	NOUN
cana-4727	108	25	queue	queue	NOUN
cana-4727	108	26	.	.	PUNCT
cana-4727	109	1	the	the	DET
cana-4727	109	2	execution	execution	NOUN
cana-4727	109	3	times	time	NOUN
cana-4727	109	4	between	between	ADP
cana-4727	109	5	dijkstra	dijkstra	PROPN
cana-4727	109	6	’s	’s	PART
cana-4727	109	7	algorithm	algorithm	NOUN
cana-4727	109	8	and	and	CCONJ
cana-4727	109	9	bellman	bellman	NOUN
cana-4727	109	10	-	-	PUNCT
cana-4727	109	11	ford	ford	PROPN
cana-4727	109	12	algorithm	algorithm	NOUN
cana-4727	109	13	are	be	AUX
cana-4727	109	14	compared	compare	VERB
cana-4727	109	15	through	through	ADP
cana-4727	109	16	table	table	NOUN
cana-4727	109	17	1	1	NUM
cana-4727	109	18	for	for	ADP
cana-4727	109	19	various	various	ADJ
cana-4727	109	20	graph	graph	NOUN
cana-4727	109	21	sizes	size	NOUN
cana-4727	109	22	.	.	PUNCT
cana-4727	110	1	table	table	NOUN
cana-4727	110	2	1	1	NUM
cana-4727	110	3	:	:	PUNCT
cana-4727	110	4	execution	execution	NOUN
cana-4727	110	5	time	time	NOUN
cana-4727	110	6	comparison	comparison	NOUN
cana-4727	110	7	of	of	ADP
cana-4727	110	8	shortest	short	ADJ
cana-4727	110	9	path	path	NOUN
cana-4727	110	10	algorithms	algorithms	NOUN
cana-4727	110	11	number	number	NOUN
cana-4727	110	12	of	of	ADP
cana-4727	110	13	nodes	node	NOUN
cana-4727	110	14	dijkstra	dijkstra	PROPN
cana-4727	110	15	's	's	PART
cana-4727	110	16	algorithm	algorithm	NOUN
cana-4727	110	17	(	(	PUNCT
cana-4727	110	18	ms	ms	PROPN
cana-4727	110	19	)	)	PUNCT
cana-4727	110	20	bellman	bellman	NOUN
cana-4727	110	21	-	-	PUNCT
cana-4727	110	22	ford	ford	PROPN
cana-4727	110	23	algorithm	algorithm	NOUN
cana-4727	110	24	(	(	PUNCT
cana-4727	110	25	ms	ms	PROPN
cana-4727	110	26	)	)	PUNCT
cana-4727	110	27	50	50	NUM
cana-4727	110	28	12.5	12.5	NUM
cana-4727	110	29	18.3	18.3	NUM
cana-4727	110	30	100	100	NUM
cana-4727	110	31	29.4	29.4	NUM
cana-4727	110	32	42.7	42.7	NUM
cana-4727	110	33	500	500	NUM
cana-4727	110	34	145.2	145.2	NUM
cana-4727	110	35	278.6	278.6	NUM
cana-4727	110	36	1000	1000	NUM
cana-4727	110	37	312.8	312.8	NUM
cana-4727	110	38	598.4	598.4	NUM
cana-4727	110	39	communications	communication	NOUN
cana-4727	110	40	on	on	ADP
cana-4727	110	41	applied	apply	VERB
cana-4727	110	42	nonlinear	nonlinear	ADJ
cana-4727	110	43	analysis	analysis	NOUN
cana-4727	110	44	issn	issn	NOUN
cana-4727	110	45	:	:	PUNCT
cana-4727	110	46	1074	1074	NUM
cana-4727	110	47	-	-	PUNCT
cana-4727	110	48	133x	133x	NUM
cana-4727	110	49	vol	vol	VERB
cana-4727	110	50	32	32	NUM
cana-4727	110	51	no	no	NOUN
cana-4727	110	52	.	.	PUNCT
cana-4727	111	1	10s	10	NOUN
cana-4727	111	2	(	(	PUNCT
cana-4727	111	3	2025	2025	NUM
cana-4727	111	4	)	)	PUNCT
cana-4727	111	5	210	210	NUM
cana-4727	111	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	111	7	the	the	DET
cana-4727	111	8	results	result	NOUN
cana-4727	111	9	in	in	ADP
cana-4727	111	10	table	table	NOUN
cana-4727	111	11	1	1	NUM
cana-4727	111	12	indicate	indicate	VERB
cana-4727	111	13	that	that	SCONJ
cana-4727	111	14	dijkstra	dijkstra	PROPN
cana-4727	111	15	’s	’s	PART
cana-4727	111	16	algorithm	algorithm	NOUN
cana-4727	111	17	delivers	deliver	VERB
cana-4727	111	18	faster	fast	ADJ
cana-4727	111	19	execution	execution	NOUN
cana-4727	111	20	than	than	ADP
cana-4727	111	21	bellman	bellman	NOUN
cana-4727	111	22	-	-	PUNCT
cana-4727	111	23	ford	ford	PROPN
cana-4727	111	24	especially	especially	ADV
cana-4727	111	25	when	when	SCONJ
cana-4727	111	26	processing	process	VERB
cana-4727	111	27	larger	large	ADJ
cana-4727	111	28	graphs	graph	NOUN
cana-4727	111	29	.	.	PUNCT
cana-4727	112	1	the	the	DET
cana-4727	112	2	higher	high	ADJ
cana-4727	112	3	number	number	NOUN
cana-4727	112	4	of	of	ADP
cana-4727	112	5	relaxation	relaxation	NOUN
cana-4727	112	6	operations	operation	NOUN
cana-4727	112	7	in	in	ADP
cana-4727	112	8	bellmanford	bellmanford	NOUN
cana-4727	112	9	reduces	reduce	VERB
cana-4727	112	10	its	its	PRON
cana-4727	112	11	effective	effective	ADJ
cana-4727	112	12	performance	performance	NOUN
cana-4727	112	13	for	for	ADP
cana-4727	112	14	handling	handle	VERB
cana-4727	112	15	large	large	ADJ
cana-4727	112	16	datasets	dataset	NOUN
cana-4727	112	17	.	.	PUNCT
cana-4727	113	1	both	both	DET
cana-4727	113	2	algorithms	algorithm	NOUN
cana-4727	113	3	'	'	PART
cana-4727	113	4	runtime	runtime	NOUN
cana-4727	113	5	behavior	behavior	NOUN
cana-4727	113	6	supports	support	VERB
cana-4727	113	7	the	the	DET
cana-4727	113	8	findings	finding	NOUN
cana-4727	113	9	as	as	SCONJ
cana-4727	113	10	shown	show	VERB
cana-4727	113	11	in	in	ADP
cana-4727	113	12	the	the	DET
cana-4727	113	13	results	result	NOUN
cana-4727	113	14	presented	present	VERB
cana-4727	113	15	in	in	ADP
cana-4727	113	16	figure	figure	NOUN
cana-4727	113	17	2	2	NUM
cana-4727	113	18	.	.	PUNCT
cana-4727	113	19	figure	figure	NOUN
cana-4727	113	20	2	2	NUM
cana-4727	113	21	:	:	PUNCT
cana-4727	113	22	execution	execution	NOUN
cana-4727	113	23	time	time	NOUN
cana-4727	113	24	analysis	analysis	NOUN
cana-4727	113	25	for	for	ADP
cana-4727	113	26	shortest	short	ADJ
cana-4727	113	27	path	path	NOUN
cana-4727	113	28	algorithms	algorithm	NOUN
cana-4727	113	29	the	the	DET
cana-4727	113	30	second	second	ADJ
cana-4727	113	31	study	study	NOUN
cana-4727	113	32	evaluated	evaluate	VERB
cana-4727	113	33	minimum	minimum	ADJ
cana-4727	113	34	spanning	span	VERB
cana-4727	113	35	tree	tree	NOUN
cana-4727	113	36	computation	computation	NOUN
cana-4727	113	37	through	through	ADP
cana-4727	113	38	prim	prim	PROPN
cana-4727	113	39	’s	’s	PART
cana-4727	113	40	and	and	CCONJ
cana-4727	113	41	kruskal	kruskal	PROPN
cana-4727	113	42	’s	’s	PART
cana-4727	113	43	algorithms	algorithm	NOUN
cana-4727	113	44	implemented	implement	VERB
cana-4727	113	45	on	on	ADP
cana-4727	113	46	weighted	weighted	ADJ
cana-4727	113	47	graphs	graph	NOUN
cana-4727	113	48	.	.	PUNCT
cana-4727	114	1	both	both	CCONJ
cana-4727	114	2	the	the	DET
cana-4727	114	3	total	total	ADJ
cana-4727	114	4	edge	edge	NOUN
cana-4727	114	5	weights	weight	NOUN
cana-4727	114	6	and	and	CCONJ
cana-4727	114	7	execution	execution	NOUN
cana-4727	114	8	times	time	NOUN
cana-4727	114	9	were	be	AUX
cana-4727	114	10	measured	measure	VERB
cana-4727	114	11	as	as	SCONJ
cana-4727	114	12	the	the	DET
cana-4727	114	13	density	density	NOUN
cana-4727	114	14	of	of	ADP
cana-4727	114	15	the	the	DET
cana-4727	114	16	graphs	graph	NOUN
cana-4727	114	17	changed	change	VERB
cana-4727	114	18	.	.	PUNCT
cana-4727	115	1	the	the	DET
cana-4727	115	2	total	total	ADJ
cana-4727	115	3	weight	weight	NOUN
cana-4727	115	4	of	of	ADP
cana-4727	115	5	mst	mst	PROPN
cana-4727	115	6	that	that	PRON
cana-4727	115	7	emerges	emerge	VERB
cana-4727	115	8	from	from	ADP
cana-4727	115	9	both	both	DET
cana-4727	115	10	algorithms	algorithm	NOUN
cana-4727	115	11	through	through	ADP
cana-4727	115	12	different	different	ADJ
cana-4727	115	13	test	test	NOUN
cana-4727	115	14	scenarios	scenario	NOUN
cana-4727	115	15	can	can	AUX
cana-4727	115	16	be	be	AUX
cana-4727	115	17	seen	see	VERB
cana-4727	115	18	in	in	ADP
cana-4727	115	19	figure	figure	NOUN
cana-4727	115	20	3	3	NUM
cana-4727	115	21	.	.	PUNCT
cana-4727	116	1	the	the	DET
cana-4727	116	2	output	output	NOUN
cana-4727	116	3	confirms	confirm	VERB
cana-4727	116	4	that	that	SCONJ
cana-4727	116	5	kruskal	kruskal	PROPN
cana-4727	116	6	’s	’s	PART
cana-4727	116	7	algorithm	algorithm	NOUN
cana-4727	116	8	works	work	VERB
cana-4727	116	9	best	good	ADJ
cana-4727	116	10	for	for	ADP
cana-4727	116	11	sparse	sparse	ADJ
cana-4727	116	12	networks	network	NOUN
cana-4727	116	13	whereas	whereas	SCONJ
cana-4727	116	14	prim	prim	VERB
cana-4727	116	15	’s	’s	PART
cana-4727	116	16	algorithm	algorithm	NOUN
cana-4727	116	17	leads	lead	VERB
cana-4727	116	18	to	to	ADP
cana-4727	116	19	higher	high	ADJ
cana-4727	116	20	efficiency	efficiency	NOUN
cana-4727	116	21	in	in	ADP
cana-4727	116	22	dense	dense	ADJ
cana-4727	116	23	networks	network	NOUN
cana-4727	116	24	because	because	SCONJ
cana-4727	116	25	of	of	ADP
cana-4727	116	26	its	its	PRON
cana-4727	116	27	reliance	reliance	NOUN
cana-4727	116	28	on	on	ADP
cana-4727	116	29	the	the	DET
cana-4727	116	30	adjacency	adjacency	NOUN
cana-4727	116	31	matrix	matrix	NOUN
cana-4727	116	32	approach	approach	NOUN
cana-4727	116	33	.	.	PUNCT
cana-4727	117	1	table	table	NOUN
cana-4727	117	2	2	2	NUM
cana-4727	117	3	:	:	PUNCT
cana-4727	117	4	performance	performance	NOUN
cana-4727	117	5	comparison	comparison	NOUN
cana-4727	117	6	of	of	ADP
cana-4727	117	7	mst	mst	PROPN
cana-4727	117	8	algorithms	algorithm	NOUN
cana-4727	117	9	graph	graph	NOUN
cana-4727	117	10	density	density	NOUN
cana-4727	117	11	prim	prim	PROPN
cana-4727	117	12	’s	’s	PART
cana-4727	117	13	algorithm	algorithm	NOUN
cana-4727	117	14	execution	execution	NOUN
cana-4727	117	15	time	time	NOUN
cana-4727	117	16	(	(	PUNCT
cana-4727	117	17	ms	ms	PROPN
cana-4727	117	18	)	)	PUNCT
cana-4727	117	19	kruskal	kruskal	PROPN
cana-4727	117	20	’s	’s	PART
cana-4727	117	21	algorithm	algorithm	NOUN
cana-4727	117	22	execution	execution	NOUN
cana-4727	117	23	time	time	NOUN
cana-4727	117	24	(	(	PUNCT
cana-4727	117	25	ms	ms	NOUN
cana-4727	117	26	)	)	PUNCT
cana-4727	117	27	total	total	NOUN
cana-4727	117	28	mst	mst	PROPN
cana-4727	117	29	weight	weight	PROPN
cana-4727	117	30	10	10	NUM
cana-4727	117	31	%	%	NOUN
cana-4727	117	32	34.2	34.2	NUM
cana-4727	117	33	27.1	27.1	NUM
cana-4727	117	34	152.6	152.6	NUM
cana-4727	117	35	30	30	NUM
cana-4727	117	36	%	%	NOUN
cana-4727	117	37	58.9	58.9	NUM
cana-4727	117	38	49.3	49.3	NUM
cana-4727	117	39	245.2	245.2	NUM
cana-4727	117	40	50	50	NUM
cana-4727	117	41	%	%	NOUN
cana-4727	117	42	112.3	112.3	NUM
cana-4727	117	43	138.7	138.7	NUM
cana-4727	117	44	376.8	376.8	NUM
cana-4727	117	45	80	80	NUM
cana-4727	117	46	%	%	NOUN
cana-4727	117	47	198.7	198.7	NUM
cana-4727	117	48	242.1	242.1	NUM
cana-4727	117	49	512.4	512.4	NUM
cana-4727	117	50	the	the	DET
cana-4727	117	51	execution	execution	NOUN
cana-4727	117	52	times	time	NOUN
cana-4727	117	53	of	of	ADP
cana-4727	117	54	the	the	DET
cana-4727	117	55	two	two	NUM
cana-4727	117	56	algorithms	algorithm	NOUN
cana-4727	117	57	differ	differ	VERB
cana-4727	117	58	as	as	SCONJ
cana-4727	117	59	presented	present	VERB
cana-4727	117	60	in	in	ADP
cana-4727	117	61	table	table	NOUN
cana-4727	117	62	2	2	NUM
cana-4727	117	63	.	.	PUNCT
cana-4727	118	1	when	when	SCONJ
cana-4727	118	2	analyzing	analyze	VERB
cana-4727	118	3	dense	dense	ADJ
cana-4727	118	4	graphs	graph	NOUN
cana-4727	118	5	kruskal	kruskal	PROPN
cana-4727	118	6	’s	’s	PART
cana-4727	118	7	algorithm	algorithm	NOUN
cana-4727	118	8	experiences	experience	VERB
cana-4727	118	9	increased	increase	VERB
cana-4727	118	10	execution	execution	NOUN
cana-4727	118	11	time	time	NOUN
cana-4727	118	12	because	because	SCONJ
cana-4727	118	13	it	it	PRON
cana-4727	118	14	involves	involve	VERB
cana-4727	118	15	extra	extra	ADJ
cana-4727	118	16	sorting	sort	VERB
cana-4727	118	17	operations	operation	NOUN
cana-4727	118	18	.	.	PUNCT
cana-4727	119	1	the	the	DET
cana-4727	119	2	mst	mst	PROPN
cana-4727	119	3	weight	weight	NOUN
cana-4727	119	4	variations	variation	NOUN
cana-4727	119	5	according	accord	VERB
cana-4727	119	6	to	to	ADP
cana-4727	119	7	graph	graph	NOUN
cana-4727	119	8	density	density	NOUN
cana-4727	119	9	appear	appear	VERB
cana-4727	119	10	in	in	ADP
cana-4727	119	11	visual	visual	ADJ
cana-4727	119	12	format	format	NOUN
cana-4727	119	13	through	through	ADP
cana-4727	119	14	figure3	figure3	PROPN
cana-4727	119	15	.	.	PUNCT
cana-4727	120	1	figure	figure	VERB
cana-4727	120	2	3	3	NUM
cana-4727	120	3	:	:	PUNCT
cana-4727	120	4	minimum	minimum	ADJ
cana-4727	120	5	spanning	span	VERB
cana-4727	120	6	tree	tree	NOUN
cana-4727	120	7	weight	weight	NOUN
cana-4727	120	8	comparison	comparison	NOUN
cana-4727	120	9	29.4	29.4	NUM
cana-4727	120	10	145.2	145.2	NUM
cana-4727	120	11	312.8	312.8	NUM
cana-4727	120	12	42.7	42.7	NUM
cana-4727	120	13	278.6	278.6	NUM
cana-4727	120	14	598.4	598.4	NUM
cana-4727	120	15	0	0	NUM
cana-4727	120	16	100	100	NUM
cana-4727	120	17	200	200	NUM
cana-4727	120	18	300	300	NUM
cana-4727	120	19	400	400	NUM
cana-4727	120	20	500	500	NUM
cana-4727	120	21	600	600	NUM
cana-4727	120	22	700	700	NUM
cana-4727	120	23	100	100	NUM
cana-4727	120	24	500	500	NUM
cana-4727	120	25	1000	1000	NUM
cana-4727	120	26	execution	execution	NOUN
cana-4727	120	27	time	time	NOUN
cana-4727	120	28	analysis	analysis	NOUN
cana-4727	120	29	for	for	ADP
cana-4727	120	30	shortest	short	ADJ
cana-4727	120	31	path	path	NOUN
cana-4727	120	32	algorithms	algorithm	NOUN
cana-4727	120	33	bellman	bellman	PROPN
cana-4727	120	34	-	-	PUNCT
cana-4727	120	35	ford	ford	PROPN
cana-4727	120	36	time	time	NOUN
cana-4727	120	37	(	(	PUNCT
cana-4727	120	38	ms	ms	NOUN
cana-4727	120	39	)	)	PUNCT
cana-4727	120	40	dijkstra	dijkstra	PROPN
cana-4727	120	41	’s	’s	PART
cana-4727	120	42	time	time	NOUN
cana-4727	120	43	(	(	PUNCT
cana-4727	120	44	ms	ms	NOUN
cana-4727	120	45	)	)	PUNCT
cana-4727	120	46	152.6	152.6	NUM
cana-4727	120	47	376.8	376.8	NUM
cana-4727	120	48	512.4	512.4	NUM
cana-4727	120	49	152.6	152.6	NUM
cana-4727	120	50	376.8	376.8	NUM
cana-4727	120	51	512.4	512.4	NUM
cana-4727	120	52	0	0	NUM
cana-4727	120	53	1000	1000	NUM
cana-4727	120	54	10	10	NUM
cana-4727	120	55	%	%	NOUN
cana-4727	120	56	50	50	NUM
cana-4727	120	57	%	%	NOUN
cana-4727	120	58	80	80	NUM
cana-4727	120	59	%	%	NOUN
cana-4727	120	60	minimum	minimum	NOUN
cana-4727	120	61	spanning	span	VERB
cana-4727	120	62	tree	tree	NOUN
cana-4727	120	63	weight	weight	NOUN
cana-4727	120	64	comparison	comparison	NOUN
cana-4727	120	65	prim	prim	VERB
cana-4727	120	66	’s	’s	PART
cana-4727	120	67	mst	mst	PROPN
cana-4727	120	68	weight	weight	PROPN
cana-4727	120	69	kruskal	kruskal	PROPN
cana-4727	120	70	’s	’s	PART
cana-4727	120	71	mst	mst	PROPN
cana-4727	120	72	weight	weight	NOUN
cana-4727	120	73	communications	communication	NOUN
cana-4727	120	74	on	on	ADP
cana-4727	120	75	applied	apply	VERB
cana-4727	120	76	nonlinear	nonlinear	ADJ
cana-4727	120	77	analysis	analysis	NOUN
cana-4727	120	78	issn	issn	NOUN
cana-4727	120	79	:	:	PUNCT
cana-4727	120	80	1074	1074	NUM
cana-4727	120	81	-	-	PUNCT
cana-4727	120	82	133x	133x	NUM
cana-4727	120	83	vol	vol	VERB
cana-4727	120	84	32	32	NUM
cana-4727	120	85	no	no	NOUN
cana-4727	120	86	.	.	PUNCT
cana-4727	121	1	10s	10	NOUN
cana-4727	121	2	(	(	PUNCT
cana-4727	121	3	2025	2025	NUM
cana-4727	121	4	)	)	PUNCT
cana-4727	121	5	211	211	NUM
cana-4727	121	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	121	7	spectral	spectral	ADJ
cana-4727	121	8	clustering	clustering	NOUN
cana-4727	121	9	served	serve	VERB
cana-4727	121	10	as	as	ADP
cana-4727	121	11	the	the	DET
cana-4727	121	12	method	method	NOUN
cana-4727	121	13	for	for	ADP
cana-4727	121	14	analyzing	analyze	VERB
cana-4727	121	15	graph	graph	NOUN
cana-4727	121	16	clustering	cluster	VERB
cana-4727	121	17	and	and	CCONJ
cana-4727	121	18	partitioning	partition	VERB
cana-4727	121	19	during	during	ADP
cana-4727	121	20	the	the	DET
cana-4727	121	21	final	final	ADJ
cana-4727	121	22	experimental	experimental	ADJ
cana-4727	121	23	stage	stage	NOUN
cana-4727	121	24	through	through	ADP
cana-4727	121	25	its	its	PRON
cana-4727	121	26	application	application	NOUN
cana-4727	121	27	to	to	ADP
cana-4727	121	28	a	a	DET
cana-4727	121	29	social	social	ADJ
cana-4727	121	30	network	network	NOUN
cana-4727	121	31	dataset	dataset	NOUN
cana-4727	121	32	.	.	PUNCT
cana-4727	122	1	performance	performance	NOUN
cana-4727	122	2	evaluation	evaluation	NOUN
cana-4727	122	3	of	of	ADP
cana-4727	122	4	clustering	clustering	NOUN
cana-4727	122	5	took	take	VERB
cana-4727	122	6	place	place	NOUN
cana-4727	122	7	through	through	ADP
cana-4727	122	8	analysis	analysis	NOUN
cana-4727	122	9	of	of	ADP
cana-4727	122	10	modularity	modularity	NOUN
cana-4727	122	11	scores	score	NOUN
cana-4727	122	12	together	together	ADV
cana-4727	122	13	with	with	ADP
cana-4727	122	14	cluster	cluster	NOUN
cana-4727	122	15	cohesion	cohesion	NOUN
cana-4727	122	16	metrics	metric	NOUN
cana-4727	122	17	.	.	PUNCT
cana-4727	123	1	the	the	DET
cana-4727	123	2	research	research	NOUN
cana-4727	123	3	data	datum	NOUN
cana-4727	123	4	presented	present	VERB
cana-4727	123	5	as	as	ADP
cana-4727	123	6	figure	figure	NOUN
cana-4727	123	7	4	4	NUM
cana-4727	123	8	shows	show	VERB
cana-4727	123	9	how	how	SCONJ
cana-4727	123	10	modularity	modularity	NOUN
cana-4727	123	11	enhances	enhance	VERB
cana-4727	123	12	through	through	ADP
cana-4727	123	13	increased	increase	VERB
cana-4727	123	14	cluster	cluster	NOUN
cana-4727	123	15	numbers	number	NOUN
cana-4727	123	16	until	until	SCONJ
cana-4727	123	17	it	it	PRON
cana-4727	123	18	reaches	reach	VERB
cana-4727	123	19	a	a	DET
cana-4727	123	20	maximum	maximum	NOUN
cana-4727	123	21	and	and	CCONJ
cana-4727	123	22	then	then	ADV
cana-4727	123	23	diminishes	diminish	VERB
cana-4727	123	24	.	.	PUNCT
cana-4727	124	1	the	the	DET
cana-4727	124	2	results	result	NOUN
cana-4727	124	3	indicate	indicate	VERB
cana-4727	124	4	that	that	SCONJ
cana-4727	124	5	there	there	PRON
cana-4727	124	6	exists	exist	VERB
cana-4727	124	7	a	a	DET
cana-4727	124	8	particular	particular	ADJ
cana-4727	124	9	cluster	cluster	NOUN
cana-4727	124	10	number	number	NOUN
cana-4727	124	11	which	which	PRON
cana-4727	124	12	yields	yield	VERB
cana-4727	124	13	the	the	DET
cana-4727	124	14	optimum	optimum	ADJ
cana-4727	124	15	conditions	condition	NOUN
cana-4727	124	16	for	for	ADP
cana-4727	124	17	finding	find	VERB
cana-4727	124	18	community	community	NOUN
cana-4727	124	19	structure	structure	NOUN
cana-4727	124	20	.	.	PUNCT
cana-4727	125	1	figure	figure	VERB
cana-4727	125	2	4	4	NUM
cana-4727	125	3	:	:	PUNCT
cana-4727	125	4	clustering	cluster	VERB
cana-4727	125	5	performance	performance	NOUN
cana-4727	125	6	based	base	VERB
cana-4727	125	7	on	on	ADP
cana-4727	125	8	modularity	modularity	NOUN
cana-4727	125	9	score	score	NOUN
cana-4727	125	10	the	the	DET
cana-4727	125	11	implemented	implement	VERB
cana-4727	125	12	graph	graph	NOUN
cana-4727	125	13	-	-	PUNCT
cana-4727	125	14	theoretic	theoretic	NOUN
cana-4727	125	15	approaches	approach	NOUN
cana-4727	125	16	prove	prove	VERB
cana-4727	125	17	successful	successful	ADJ
cana-4727	125	18	at	at	ADP
cana-4727	125	19	solving	solve	VERB
cana-4727	125	20	optimization	optimization	NOUN
cana-4727	125	21	problems	problem	NOUN
cana-4727	125	22	as	as	SCONJ
cana-4727	125	23	shown	show	VERB
cana-4727	125	24	in	in	ADP
cana-4727	125	25	the	the	DET
cana-4727	125	26	final	final	ADJ
cana-4727	125	27	results	result	NOUN
cana-4727	125	28	.	.	PUNCT
cana-4727	126	1	the	the	DET
cana-4727	126	2	evaluation	evaluation	NOUN
cana-4727	126	3	of	of	ADP
cana-4727	126	4	shortest	short	ADJ
cana-4727	126	5	path	path	NOUN
cana-4727	126	6	algorithms	algorithm	NOUN
cana-4727	126	7	demonstrates	demonstrate	VERB
cana-4727	126	8	that	that	SCONJ
cana-4727	126	9	dijkstra	dijkstra	PROPN
cana-4727	126	10	’s	’s	PART
cana-4727	126	11	algorithm	algorithm	NOUN
cana-4727	126	12	outperforms	outperform	VERB
cana-4727	126	13	static	static	ADJ
cana-4727	126	14	environments	environment	NOUN
cana-4727	126	15	but	but	CCONJ
cana-4727	126	16	the	the	DET
cana-4727	126	17	bellman	bellman	NOUN
cana-4727	126	18	-	-	PUNCT
cana-4727	126	19	ford	ford	PROPN
cana-4727	126	20	algorithm	algorithm	NOUN
cana-4727	126	21	maintains	maintain	VERB
cana-4727	126	22	importance	importance	NOUN
cana-4727	126	23	when	when	SCONJ
cana-4727	126	24	operating	operate	VERB
cana-4727	126	25	on	on	ADP
cana-4727	126	26	dynamic	dynamic	ADJ
cana-4727	126	27	or	or	CCONJ
cana-4727	126	28	negative	negative	ADJ
cana-4727	126	29	-	-	PUNCT
cana-4727	126	30	weight	weight	NOUN
cana-4727	126	31	situations	situation	NOUN
cana-4727	126	32	.	.	PUNCT
cana-4727	127	1	the	the	DET
cana-4727	127	2	analysis	analysis	NOUN
cana-4727	127	3	of	of	ADP
cana-4727	127	4	mst	mst	PROPN
cana-4727	127	5	using	use	VERB
cana-4727	127	6	mst	mst	PROPN
cana-4727	127	7	reveals	reveal	VERB
cana-4727	127	8	that	that	SCONJ
cana-4727	127	9	sparse	sparse	ADJ
cana-4727	127	10	graphs	graph	NOUN
cana-4727	127	11	benefit	benefit	VERB
cana-4727	127	12	from	from	ADP
cana-4727	127	13	kruskal	kruskal	PROPN
cana-4727	127	14	’s	’s	PART
cana-4727	127	15	algorithm	algorithm	NOUN
cana-4727	127	16	whereas	whereas	SCONJ
cana-4727	127	17	prim	prim	VERB
cana-4727	127	18	’s	’s	PART
cana-4727	127	19	algorithm	algorithm	NOUN
cana-4727	127	20	performs	perform	VERB
cana-4727	127	21	best	good	ADJ
cana-4727	127	22	on	on	ADP
cana-4727	127	23	dense	dense	ADJ
cana-4727	127	24	networks	network	NOUN
cana-4727	127	25	.	.	PUNCT
cana-4727	128	1	the	the	DET
cana-4727	128	2	success	success	NOUN
cana-4727	128	3	of	of	ADP
cana-4727	128	4	clustering	clustering	ADJ
cana-4727	128	5	experiments	experiment	NOUN
cana-4727	128	6	depends	depend	VERB
cana-4727	128	7	on	on	ADP
cana-4727	128	8	choosing	choose	VERB
cana-4727	128	9	the	the	DET
cana-4727	128	10	correct	correct	ADJ
cana-4727	128	11	number	number	NOUN
cana-4727	128	12	of	of	ADP
cana-4727	128	13	communications	communication	NOUN
cana-4727	128	14	on	on	ADP
cana-4727	128	15	applied	apply	VERB
cana-4727	128	16	nonlinear	nonlinear	ADJ
cana-4727	128	17	analysis	analysis	NOUN
cana-4727	128	18	issn	issn	NOUN
cana-4727	128	19	:	:	PUNCT
cana-4727	128	20	1074	1074	NUM
cana-4727	128	21	-	-	PUNCT
cana-4727	128	22	133x	133x	NUM
cana-4727	128	23	vol	vol	VERB
cana-4727	128	24	32	32	NUM
cana-4727	128	25	no	no	NOUN
cana-4727	128	26	.	.	PUNCT
cana-4727	129	1	10s	10	NOUN
cana-4727	129	2	(	(	PUNCT
cana-4727	129	3	2025	2025	NUM
cana-4727	129	4	)	)	PUNCT
cana-4727	129	5	212	212	NUM
cana-4727	129	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	129	7	partitions	partition	NOUN
cana-4727	129	8	because	because	SCONJ
cana-4727	129	9	it	it	PRON
cana-4727	129	10	establishes	establish	VERB
cana-4727	129	11	optimal	optimal	ADJ
cana-4727	129	12	conditions	condition	NOUN
cana-4727	129	13	that	that	PRON
cana-4727	129	14	maximize	maximize	VERB
cana-4727	129	15	both	both	DET
cana-4727	129	16	modularity	modularity	NOUN
cana-4727	129	17	and	and	CCONJ
cana-4727	129	18	maintain	maintain	VERB
cana-4727	129	19	community	community	NOUN
cana-4727	129	20	structure	structure	NOUN
cana-4727	129	21	.	.	PUNCT
cana-4727	130	1	cached	cache	VERB
cana-4727	130	2	on	on	ADP
cana-4727	130	3	multiple	multiple	ADJ
cana-4727	130	4	algorithms	algorithm	NOUN
cana-4727	130	5	proves	prove	VERB
cana-4727	130	6	that	that	SCONJ
cana-4727	130	7	proper	proper	ADJ
cana-4727	130	8	selection	selection	NOUN
cana-4727	130	9	of	of	ADP
cana-4727	130	10	graph	graph	NOUN
cana-4727	130	11	-	-	PUNCT
cana-4727	130	12	theoretic	theoretic	NOUN
cana-4727	130	13	methods	method	NOUN
cana-4727	130	14	depends	depend	VERB
cana-4727	130	15	on	on	ADP
cana-4727	130	16	both	both	DET
cana-4727	130	17	system	system	NOUN
cana-4727	130	18	requirements	requirement	NOUN
cana-4727	130	19	and	and	CCONJ
cana-4727	130	20	characteristics	characteristic	NOUN
cana-4727	130	21	found	find	VERB
cana-4727	130	22	in	in	ADP
cana-4727	130	23	the	the	DET
cana-4727	130	24	data	datum	NOUN
cana-4727	130	25	set	set	VERB
cana-4727	130	26	.	.	PUNCT
cana-4727	131	1	research	research	NOUN
cana-4727	131	2	findings	finding	NOUN
cana-4727	131	3	provide	provide	VERB
cana-4727	131	4	essential	essential	ADJ
cana-4727	131	5	knowledge	knowledge	NOUN
cana-4727	131	6	for	for	ADP
cana-4727	131	7	future	future	ADJ
cana-4727	131	8	studies	study	NOUN
cana-4727	131	9	in	in	ADP
cana-4727	131	10	dynamic	dynamic	ADJ
cana-4727	131	11	graph	graph	NOUN
cana-4727	131	12	analysis	analysis	NOUN
cana-4727	131	13	since	since	SCONJ
cana-4727	131	14	they	they	PRON
cana-4727	131	15	will	will	AUX
cana-4727	131	16	influence	influence	VERB
cana-4727	131	17	how	how	SCONJ
cana-4727	131	18	realtime	realtime	ADJ
cana-4727	131	19	updates	update	VERB
cana-4727	131	20	influence	influence	NOUN
cana-4727	131	21	algorithm	algorithm	NOUN
cana-4727	131	22	efficiency	efficiency	NOUN
cana-4727	131	23	.	.	PUNCT
cana-4727	132	1	v.	v.	ADP
cana-4727	132	2	conclusion	conclusion	NOUN
cana-4727	132	3	modern	modern	ADJ
cana-4727	132	4	mathematics	mathematic	NOUN
cana-4727	132	5	essentially	essentially	ADV
cana-4727	132	6	depends	depend	VERB
cana-4727	132	7	on	on	ADP
cana-4727	132	8	graph	graph	NOUN
cana-4727	132	9	theory	theory	NOUN
cana-4727	132	10	which	which	PRON
cana-4727	132	11	continues	continue	VERB
cana-4727	132	12	to	to	PART
cana-4727	132	13	serve	serve	VERB
cana-4727	132	14	diverse	diverse	ADJ
cana-4727	132	15	scientific	scientific	ADJ
cana-4727	132	16	and	and	CCONJ
cana-4727	132	17	technological	technological	ADJ
cana-4727	132	18	areas	area	NOUN
cana-4727	132	19	.	.	PUNCT
cana-4727	133	1	the	the	DET
cana-4727	133	2	study	study	NOUN
cana-4727	133	3	presents	present	VERB
cana-4727	133	4	basic	basic	ADJ
cana-4727	133	5	information	information	NOUN
cana-4727	133	6	about	about	ADP
cana-4727	133	7	its	its	PRON
cana-4727	133	8	essential	essential	ADJ
cana-4727	133	9	principles	principle	NOUN
cana-4727	133	10	coupled	couple	VERB
cana-4727	133	11	with	with	ADP
cana-4727	133	12	essential	essential	ADJ
cana-4727	133	13	algorithms	algorithm	NOUN
cana-4727	133	14	and	and	CCONJ
cana-4727	133	15	their	their	PRON
cana-4727	133	16	practical	practical	ADJ
cana-4727	133	17	applications	application	NOUN
cana-4727	133	18	in	in	ADP
cana-4727	133	19	problem	problem	NOUN
cana-4727	133	20	-	-	PUNCT
cana-4727	133	21	solving	solve	VERB
cana-4727	133	22	methods	method	NOUN
cana-4727	133	23	.	.	PUNCT
cana-4727	134	1	the	the	DET
cana-4727	134	2	research	research	NOUN
cana-4727	134	3	community	community	NOUN
cana-4727	134	4	should	should	AUX
cana-4727	134	5	direct	direct	VERB
cana-4727	134	6	their	their	PRON
cana-4727	134	7	efforts	effort	NOUN
cana-4727	134	8	to	to	PART
cana-4727	134	9	enhance	enhance	VERB
cana-4727	134	10	massive	massive	ADJ
cana-4727	134	11	-	-	PUNCT
cana-4727	134	12	scale	scale	NOUN
cana-4727	134	13	network	network	NOUN
cana-4727	134	14	calculations	calculation	NOUN
cana-4727	134	15	whereas	whereas	SCONJ
cana-4727	134	16	implementing	implement	VERB
cana-4727	134	17	graph	graph	NOUN
cana-4727	134	18	-	-	PUNCT
cana-4727	134	19	based	base	VERB
cana-4727	134	20	data	data	NOUN
cana-4727	134	21	models	model	NOUN
cana-4727	134	22	within	within	ADP
cana-4727	134	23	ai	ai	PROPN
cana-4727	134	24	and	and	CCONJ
cana-4727	134	25	big	big	ADJ
cana-4727	134	26	data	datum	NOUN
cana-4727	134	27	systems	system	NOUN
cana-4727	134	28	.	.	PUNCT
cana-4727	135	1	references	reference	NOUN
cana-4727	135	2	[	[	X
cana-4727	135	3	1	1	NUM
cana-4727	135	4	]	]	PUNCT
cana-4727	135	5	v.	v.	CCONJ
cana-4727	135	6	nabıyev	nabıyev	PROPN
cana-4727	135	7	,	,	PUNCT
cana-4727	135	8	ü.	ü.	NOUN
cana-4727	135	9	çakıroğlu	çakıroğlu	PROPN
cana-4727	135	10	,	,	PUNCT
cana-4727	135	11	h.	h.	PROPN
cana-4727	135	12	karal	karal	PROPN
cana-4727	135	13	,	,	PUNCT
cana-4727	135	14	a.	a.	PROPN
cana-4727	135	15	k.	k.	PROPN
cana-4727	135	16	erümit	erümit	PROPN
cana-4727	135	17	,	,	PUNCT
cana-4727	135	18	and	and	CCONJ
cana-4727	135	19	a.	a.	NOUN
cana-4727	135	20	çebi	çebi	PROPN
cana-4727	135	21	,	,	PUNCT
cana-4727	135	22	"	"	PUNCT
cana-4727	135	23	application	application	NOUN
cana-4727	135	24	of	of	ADP
cana-4727	135	25	graph	graph	NOUN
cana-4727	135	26	theory	theory	NOUN
cana-4727	135	27	in	in	ADP
cana-4727	135	28	an	an	DET
cana-4727	135	29	intelligent	intelligent	ADJ
cana-4727	135	30	tutoring	tutoring	NOUN
cana-4727	135	31	system	system	NOUN
cana-4727	135	32	for	for	ADP
cana-4727	135	33	solving	solve	VERB
cana-4727	135	34	mathematical	mathematical	ADJ
cana-4727	135	35	word	word	NOUN
cana-4727	135	36	problems	problem	NOUN
cana-4727	135	37	,	,	PUNCT
cana-4727	135	38	"	"	PUNCT
cana-4727	135	39	eurasia	eurasia	PROPN
cana-4727	135	40	journal	journal	PROPN
cana-4727	135	41	of	of	ADP
cana-4727	135	42	mathematics	mathematics	PROPN
cana-4727	135	43	,	,	PUNCT
cana-4727	135	44	science	science	NOUN
cana-4727	135	45	and	and	CCONJ
cana-4727	135	46	technology	technology	NOUN
cana-4727	135	47	education	education	NOUN
cana-4727	135	48	,	,	PUNCT
cana-4727	135	49	vol	vol	NOUN
cana-4727	135	50	.	.	PROPN
cana-4727	135	51	12	12	NUM
cana-4727	135	52	,	,	PUNCT
cana-4727	135	53	no	no	INTJ
cana-4727	135	54	.	.	NOUN
cana-4727	135	55	4	4	NUM
cana-4727	135	56	,	,	PUNCT
cana-4727	135	57	pp	pp	ADJ
cana-4727	135	58	.	.	PUNCT
cana-4727	136	1	687–701	687–701	NUM
cana-4727	136	2	,	,	PUNCT
cana-4727	136	3	apr	apr	NOUN
cana-4727	136	4	.	.	PROPN
cana-4727	136	5	2016	2016	NUM
cana-4727	136	6	.	.	PUNCT
cana-4727	137	1	available	available	ADJ
cana-4727	137	2	:	:	PUNCT
cana-4727	138	1	https://doi.org/10.12973/eurasia.2015.1401a	https://doi.org/10.12973/eurasia.2015.1401a	PROPN
cana-4727	138	2	[	[	X
cana-4727	138	3	2	2	X
cana-4727	138	4	]	]	PUNCT
cana-4727	138	5	e.	e.	PROPN
cana-4727	138	6	bertram	bertram	PROPN
cana-4727	138	7	and	and	CCONJ
cana-4727	138	8	p.	p.	NOUN
cana-4727	138	9	horák	horák	ADV
cana-4727	138	10	,	,	PUNCT
cana-4727	138	11	"	"	PUNCT
cana-4727	138	12	some	some	DET
cana-4727	138	13	applications	application	NOUN
cana-4727	138	14	of	of	ADP
cana-4727	138	15	graph	graph	NOUN
cana-4727	138	16	theory	theory	NOUN
cana-4727	138	17	to	to	ADP
cana-4727	138	18	other	other	ADJ
cana-4727	138	19	parts	part	NOUN
cana-4727	138	20	of	of	ADP
cana-4727	138	21	mathematics	mathematic	NOUN
cana-4727	138	22	,	,	PUNCT
cana-4727	138	23	"	"	PUNCT
cana-4727	138	24	the	the	DET
cana-4727	138	25	mathematical	mathematical	ADJ
cana-4727	138	26	intelligencer	intelligencer	NOUN
cana-4727	138	27	,	,	PUNCT
cana-4727	138	28	vol	vol	NOUN
cana-4727	138	29	.	.	PROPN
cana-4727	138	30	21	21	NUM
cana-4727	138	31	,	,	PUNCT
cana-4727	138	32	pp	pp	PROPN
cana-4727	138	33	.	.	PUNCT
cana-4727	139	1	6–11	6–11	NOUN
cana-4727	139	2	,	,	PUNCT
cana-4727	139	3	jan	jan	PROPN
cana-4727	139	4	.	.	PROPN
cana-4727	139	5	1999	1999	NUM
cana-4727	139	6	.	.	PUNCT
cana-4727	140	1	available	available	ADJ
cana-4727	140	2	:	:	PUNCT
cana-4727	140	3	https://doi.org/10.1007/bf03025408	https://doi.org/10.1007/bf03025408	X
cana-4727	141	1	[	[	X
cana-4727	141	2	3	3	X
cana-4727	141	3	]	]	X
cana-4727	141	4	p.	p.	PROPN
cana-4727	141	5	l.	l.	PROPN
cana-4727	141	6	k.	k.	PROPN
cana-4727	141	7	priyadarsini	priyadarsini	PROPN
cana-4727	141	8	,	,	PUNCT
cana-4727	141	9	"	"	PUNCT
cana-4727	141	10	a	a	DET
cana-4727	141	11	survey	survey	NOUN
cana-4727	141	12	on	on	ADP
cana-4727	141	13	some	some	DET
cana-4727	141	14	applications	application	NOUN
cana-4727	141	15	of	of	ADP
cana-4727	141	16	graph	graph	NOUN
cana-4727	141	17	theory	theory	NOUN
cana-4727	141	18	in	in	ADP
cana-4727	141	19	cryptography	cryptography	NOUN
cana-4727	141	20	,	,	PUNCT
cana-4727	141	21	"	"	PUNCT
cana-4727	141	22	journal	journal	NOUN
cana-4727	141	23	of	of	ADP
cana-4727	141	24	discrete	discrete	ADJ
cana-4727	141	25	mathematical	mathematical	ADJ
cana-4727	141	26	sciences	science	NOUN
cana-4727	141	27	and	and	CCONJ
cana-4727	141	28	cryptography	cryptography	NOUN
cana-4727	141	29	,	,	PUNCT
cana-4727	141	30	vol	vol	NOUN
cana-4727	141	31	.	.	PROPN
cana-4727	141	32	18	18	NUM
cana-4727	141	33	,	,	PUNCT
cana-4727	141	34	no	no	INTJ
cana-4727	141	35	.	.	NOUN
cana-4727	141	36	3	3	NUM
cana-4727	141	37	,	,	PUNCT
cana-4727	141	38	pp	pp	ADJ
cana-4727	141	39	.	.	PUNCT
cana-4727	142	1	209–217	209–217	NUM
cana-4727	142	2	,	,	PUNCT
cana-4727	142	3	2015	2015	NUM
cana-4727	142	4	.	.	PUNCT
cana-4727	143	1	available	available	ADJ
cana-4727	143	2	:	:	PUNCT
cana-4727	143	3	https://doi.org/10.1080/09720529.2013.878819	https://doi.org/10.1080/09720529.2013.878819	PUNCT
cana-4727	144	1	[	[	X
cana-4727	144	2	4	4	X
cana-4727	144	3	]	]	PUNCT
cana-4727	144	4	w.	w.	PROPN
cana-4727	144	5	d.	d.	PROPN
cana-4727	144	6	wallis	wallis	PROPN
cana-4727	144	7	,	,	PUNCT
cana-4727	144	8	"	"	PUNCT
cana-4727	144	9	graph	graph	NOUN
cana-4727	144	10	theory	theory	NOUN
cana-4727	144	11	with	with	ADP
cana-4727	144	12	applications	application	NOUN
cana-4727	144	13	(	(	PUNCT
cana-4727	144	14	j.	j.	PROPN
cana-4727	144	15	a.	a.	PROPN
cana-4727	144	16	bondy	bondy	PROPN
cana-4727	144	17	and	and	CCONJ
cana-4727	144	18	u.	u.	PROPN
cana-4727	144	19	s.	s.	PROPN
cana-4727	144	20	r.	r.	PROPN
cana-4727	144	21	murty	murty	PROPN
cana-4727	144	22	)	)	PUNCT
cana-4727	144	23	,	,	PUNCT
cana-4727	144	24	"	"	PUNCT
cana-4727	144	25	siam	siam	PROPN
cana-4727	144	26	review	review	NOUN
cana-4727	144	27	,	,	PUNCT
cana-4727	144	28	vol	vol	NOUN
cana-4727	144	29	.	.	PROPN
cana-4727	144	30	21	21	NUM
cana-4727	144	31	,	,	PUNCT
cana-4727	144	32	no	no	INTJ
cana-4727	144	33	.	.	NOUN
cana-4727	144	34	3	3	NUM
cana-4727	144	35	,	,	PUNCT
cana-4727	144	36	pp	pp	ADJ
cana-4727	144	37	.	.	PUNCT
cana-4727	145	1	394–395	394–395	NUM
cana-4727	145	2	,	,	PUNCT
cana-4727	145	3	jul	jul	PROPN
cana-4727	145	4	.	.	PROPN
cana-4727	145	5	1979	1979	NUM
cana-4727	145	6	.	.	PUNCT
cana-4727	146	1	available	available	ADJ
cana-4727	146	2	:	:	PUNCT
cana-4727	146	3	https://doi.org/10.1137/1021086	https://doi.org/10.1137/1021086	NUM
cana-4727	147	1	[	[	X
cana-4727	147	2	5	5	X
cana-4727	147	3	]	]	PUNCT
cana-4727	147	4	e.	e.	PROPN
cana-4727	147	5	mohyedinbonab	mohyedinbonab	PROPN
cana-4727	147	6	,	,	PUNCT
cana-4727	147	7	m.	m.	NOUN
cana-4727	147	8	jamshidi	jamshidi	PROPN
cana-4727	147	9	,	,	PUNCT
cana-4727	147	10	and	and	CCONJ
cana-4727	147	11	y.-f	y.-f	NOUN
cana-4727	147	12	.	.	PUNCT
cana-4727	148	1	jin	jin	PROPN
cana-4727	148	2	,	,	PUNCT
cana-4727	148	3	"	"	PUNCT
cana-4727	148	4	a	a	DET
cana-4727	148	5	review	review	NOUN
cana-4727	148	6	on	on	ADP
cana-4727	148	7	applications	application	NOUN
cana-4727	148	8	of	of	ADP
cana-4727	148	9	graph	graph	NOUN
cana-4727	148	10	theory	theory	NOUN
cana-4727	148	11	in	in	ADP
cana-4727	148	12	network	network	NOUN
cana-4727	148	13	analysis	analysis	NOUN
cana-4727	148	14	of	of	ADP
cana-4727	148	15	biological	biological	ADJ
cana-4727	148	16	processes	process	NOUN
cana-4727	148	17	,	,	PUNCT
cana-4727	148	18	"	"	PUNCT
cana-4727	148	19	international	international	ADJ
cana-4727	148	20	journal	journal	NOUN
cana-4727	148	21	of	of	ADP
cana-4727	148	22	intelligent	intelligent	ADJ
cana-4727	148	23	computing	computing	NOUN
cana-4727	148	24	in	in	ADP
cana-4727	148	25	medical	medical	ADJ
cana-4727	148	26	sciences	sciences	PROPN
cana-4727	148	27	&	&	CCONJ
cana-4727	148	28	image	image	NOUN
cana-4727	148	29	processing	processing	NOUN
cana-4727	148	30	,	,	PUNCT
cana-4727	148	31	vol	vol	NOUN
cana-4727	148	32	.	.	PROPN
cana-4727	148	33	6	6	NUM
cana-4727	148	34	,	,	PUNCT
cana-4727	148	35	no	no	INTJ
cana-4727	148	36	.	.	NOUN
cana-4727	148	37	1	1	NUM
cana-4727	148	38	,	,	PUNCT
cana-4727	148	39	pp	pp	ADJ
cana-4727	148	40	.	.	PUNCT
cana-4727	149	1	27–43	27–43	NOUN
cana-4727	149	2	,	,	PUNCT
cana-4727	149	3	2014	2014	NUM
cana-4727	149	4	.	.	PUNCT
cana-4727	150	1	available	available	ADJ
cana-4727	150	2	:	:	PUNCT
cana-4727	150	3	https://doi.org/10.1080/1931308x.2014.938492	https://doi.org/10.1080/1931308x.2014.938492	X
cana-4727	151	1	[	[	X
cana-4727	151	2	6	6	NUM
cana-4727	151	3	]	]	PUNCT
cana-4727	151	4	r.	r.	NOUN
cana-4727	151	5	chelladurai	chelladurai	PROPN
cana-4727	151	6	and	and	CCONJ
cana-4727	151	7	s.	s.	PROPN
cana-4727	151	8	j.	j.	PROPN
cana-4727	151	9	maghy	maghy	PROPN
cana-4727	151	10	,	,	PUNCT
cana-4727	151	11	"	"	PUNCT
cana-4727	151	12	graph	graph	NOUN
cana-4727	151	13	theory	theory	NOUN
cana-4727	151	14	in	in	ADP
cana-4727	151	15	different	different	ADJ
cana-4727	151	16	networks	network	NOUN
cana-4727	151	17	,	,	PUNCT
cana-4727	151	18	"	"	PUNCT
cana-4727	151	19	international	international	ADJ
cana-4727	151	20	journal	journal	NOUN
cana-4727	151	21	of	of	ADP
cana-4727	151	22	mathematics	mathematic	NOUN
cana-4727	151	23	and	and	CCONJ
cana-4727	151	24	its	its	PRON
cana-4727	151	25	applications	application	NOUN
cana-4727	151	26	,	,	PUNCT
cana-4727	151	27	vol	vol	NOUN
cana-4727	151	28	.	.	PROPN
cana-4727	151	29	6	6	NUM
cana-4727	151	30	,	,	PUNCT
cana-4727	151	31	no	no	INTJ
cana-4727	151	32	.	.	NOUN
cana-4727	152	1	1	1	NUM
cana-4727	152	2	-	-	SYM
cana-4727	152	3	d	d	PROPN
cana-4727	152	4	,	,	PUNCT
cana-4727	152	5	pp	pp	ADJ
cana-4727	152	6	.	.	PUNCT
cana-4727	153	1	711–717	711–717	NUM
cana-4727	153	2	,	,	PUNCT
cana-4727	153	3	mar	mar	PROPN
cana-4727	153	4	.	.	PROPN
cana-4727	153	5	2018	2018	NUM
cana-4727	153	6	.	.	PUNCT
cana-4727	154	1	available	available	ADJ
cana-4727	154	2	:	:	PUNCT
cana-4727	154	3	https://ijmaa.in/index.php/ijmaa/article/view/1132	https://ijmaa.in/index.php/ijmaa/article/view/1132	X
cana-4727	155	1	[	[	X
cana-4727	155	2	7	7	X
cana-4727	155	3	]	]	X
cana-4727	155	4	r.	r.	PROPN
cana-4727	155	5	diestel	diestel	PROPN
cana-4727	155	6	,	,	PUNCT
cana-4727	155	7	graph	graph	NOUN
cana-4727	155	8	theory	theory	NOUN
cana-4727	155	9	,	,	PUNCT
cana-4727	155	10	5th	5th	ADJ
cana-4727	155	11	ed	ed	NOUN
cana-4727	155	12	.	.	PROPN
cana-4727	155	13	,	,	PUNCT
cana-4727	155	14	springer	springer	NOUN
cana-4727	155	15	,	,	PUNCT
cana-4727	155	16	2017	2017	NUM
cana-4727	155	17	.	.	PUNCT
cana-4727	156	1	available	available	ADJ
cana-4727	156	2	:	:	PUNCT
cana-4727	156	3	https://doi.org/10.1007/978-3-66253622-3	https://doi.org/10.1007/978-3-66253622-3	NOUN
cana-4727	157	1	[	[	X
cana-4727	157	2	8	8	NUM
cana-4727	157	3	]	]	X
cana-4727	157	4	b.	b.	PROPN
cana-4727	157	5	bollobás	bollobás	PROPN
cana-4727	157	6	,	,	PUNCT
cana-4727	157	7	modern	modern	ADJ
cana-4727	157	8	graph	graph	NOUN
cana-4727	157	9	theory	theory	NOUN
cana-4727	157	10	,	,	PUNCT
cana-4727	157	11	springer	springer	NOUN
cana-4727	157	12	,	,	PUNCT
cana-4727	157	13	1998	1998	NUM
cana-4727	157	14	.	.	PUNCT
cana-4727	158	1	available	available	ADJ
cana-4727	158	2	:	:	PUNCT
cana-4727	158	3	https://doi.org/10.1007/978-14612-0619-4	https://doi.org/10.1007/978-14612-0619-4	NOUN
cana-4727	158	4	[	[	X
cana-4727	158	5	9	9	NUM
cana-4727	158	6	]	]	PUNCT
cana-4727	158	7	r.	r.	PROPN
cana-4727	158	8	albert	albert	PROPN
cana-4727	158	9	and	and	CCONJ
cana-4727	158	10	a.-l	a.-l	PROPN
cana-4727	158	11	.	.	PUNCT
cana-4727	159	1	barabási	barabási	NOUN
cana-4727	159	2	,	,	PUNCT
cana-4727	159	3	"	"	PUNCT
cana-4727	159	4	statistical	statistical	ADJ
cana-4727	159	5	mechanics	mechanic	NOUN
cana-4727	159	6	of	of	ADP
cana-4727	159	7	complex	complex	ADJ
cana-4727	159	8	networks	network	NOUN
cana-4727	159	9	,	,	PUNCT
cana-4727	159	10	"	"	PUNCT
cana-4727	159	11	reviews	review	NOUN
cana-4727	159	12	of	of	ADP
cana-4727	159	13	modern	modern	ADJ
cana-4727	159	14	physics	physic	NOUN
cana-4727	159	15	,	,	PUNCT
cana-4727	159	16	vol	vol	NOUN
cana-4727	159	17	.	.	PROPN
cana-4727	160	1	74	74	NUM
cana-4727	160	2	,	,	PUNCT
cana-4727	160	3	no	no	INTJ
cana-4727	160	4	.	.	NOUN
cana-4727	160	5	1	1	NUM
cana-4727	160	6	,	,	PUNCT
cana-4727	160	7	pp	pp	ADJ
cana-4727	160	8	.	.	PUNCT
cana-4727	161	1	47–97	47–97	NUM
cana-4727	161	2	,	,	PUNCT
cana-4727	161	3	jan	jan	PROPN
cana-4727	161	4	.	.	PROPN
cana-4727	161	5	2002	2002	NUM
cana-4727	161	6	.	.	PUNCT
cana-4727	162	1	available	available	ADJ
cana-4727	162	2	:	:	PUNCT
cana-4727	162	3	https://doi.org/10.1103/revmodphys.74.47	https://doi.org/10.1103/revmodphys.74.47	NOUN
cana-4727	162	4	communications	communication	NOUN
cana-4727	162	5	on	on	ADP
cana-4727	162	6	applied	apply	VERB
cana-4727	162	7	nonlinear	nonlinear	ADJ
cana-4727	162	8	analysis	analysis	NOUN
cana-4727	162	9	issn	issn	NOUN
cana-4727	162	10	:	:	PUNCT
cana-4727	162	11	1074	1074	NUM
cana-4727	162	12	-	-	PUNCT
cana-4727	162	13	133x	133x	NUM
cana-4727	162	14	vol	vol	VERB
cana-4727	162	15	32	32	NUM
cana-4727	162	16	no	no	NOUN
cana-4727	162	17	.	.	PUNCT
cana-4727	163	1	10s	10	NOUN
cana-4727	163	2	(	(	PUNCT
cana-4727	163	3	2025	2025	NUM
cana-4727	163	4	)	)	PUNCT
cana-4727	163	5	213	213	NUM
cana-4727	163	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4727	164	1	[	[	X
cana-4727	164	2	10	10	NUM
cana-4727	164	3	]	]	X
cana-4727	164	4	d.	d.	PROPN
cana-4727	164	5	j.	j.	PROPN
cana-4727	164	6	watts	watts	PROPN
cana-4727	164	7	and	and	CCONJ
cana-4727	164	8	s.	s.	PROPN
cana-4727	164	9	h.	h.	PROPN
cana-4727	164	10	strogatz	strogatz	PROPN
cana-4727	164	11	,	,	PUNCT
cana-4727	164	12	"	"	PUNCT
cana-4727	164	13	collective	collective	ADJ
cana-4727	164	14	dynamics	dynamic	NOUN
cana-4727	164	15	of	of	ADP
cana-4727	164	16	'	'	PUNCT
cana-4727	164	17	small	small	ADJ
cana-4727	164	18	-	-	PUNCT
cana-4727	164	19	world	world	NOUN
cana-4727	164	20	'	'	PART
cana-4727	164	21	networks	network	NOUN
cana-4727	164	22	,	,	PUNCT
cana-4727	164	23	"	"	PUNCT
cana-4727	164	24	nature	nature	NOUN
cana-4727	164	25	,	,	PUNCT
cana-4727	164	26	vol	vol	NOUN
cana-4727	164	27	.	.	PROPN
cana-4727	164	28	393	393	NUM
cana-4727	164	29	,	,	PUNCT
cana-4727	164	30	no	no	INTJ
cana-4727	164	31	.	.	NOUN
cana-4727	164	32	6684	6684	NUM
cana-4727	164	33	,	,	PUNCT
cana-4727	164	34	pp	pp	X
cana-4727	164	35	.	.	PUNCT
cana-4727	165	1	440–442	440–442	NUM
cana-4727	165	2	,	,	PUNCT
cana-4727	165	3	jun	jun	PROPN
cana-4727	165	4	.	.	PROPN
cana-4727	165	5	1998	1998	NUM
cana-4727	165	6	.	.	PUNCT
cana-4727	166	1	available	available	ADJ
cana-4727	166	2	:	:	PUNCT
cana-4727	166	3	https://doi.org/10.1038/30918	https://doi.org/10.1038/30918	PRON
cana-4727	167	1	[	[	X
cana-4727	167	2	11	11	NUM
cana-4727	167	3	]	]	X
cana-4727	167	4	r.	r.	PROPN
cana-4727	167	5	l.	l.	PROPN
cana-4727	167	6	graham	graham	PROPN
cana-4727	167	7	and	and	CCONJ
cana-4727	167	8	p.	p.	NOUN
cana-4727	167	9	hell	hell	NOUN
cana-4727	167	10	,	,	PUNCT
cana-4727	167	11	"	"	PUNCT
cana-4727	167	12	on	on	ADP
cana-4727	167	13	the	the	DET
cana-4727	167	14	history	history	NOUN
cana-4727	167	15	of	of	ADP
cana-4727	167	16	the	the	DET
cana-4727	167	17	minimum	minimum	ADJ
cana-4727	167	18	spanning	span	VERB
cana-4727	167	19	tree	tree	NOUN
cana-4727	167	20	problem	problem	NOUN
cana-4727	167	21	,	,	PUNCT
cana-4727	167	22	"	"	PUNCT
cana-4727	167	23	annals	annal	NOUN
cana-4727	167	24	of	of	ADP
cana-4727	167	25	the	the	DET
cana-4727	167	26	history	history	NOUN
cana-4727	167	27	of	of	ADP
cana-4727	167	28	computing	computing	NOUN
cana-4727	167	29	,	,	PUNCT
cana-4727	167	30	vol	vol	NOUN
cana-4727	167	31	.	.	PROPN
cana-4727	167	32	7	7	NUM
cana-4727	167	33	,	,	PUNCT
cana-4727	167	34	no	no	INTJ
cana-4727	167	35	.	.	NOUN
cana-4727	167	36	1	1	NUM
cana-4727	167	37	,	,	PUNCT
cana-4727	167	38	pp	pp	ADJ
cana-4727	167	39	.	.	PUNCT
cana-4727	168	1	43–57	43–57	NUM
cana-4727	168	2	,	,	PUNCT
cana-4727	168	3	jan	jan	PROPN
cana-4727	168	4	.	.	PROPN
cana-4727	168	5	1985	1985	NUM
cana-4727	168	6	.	.	PUNCT
cana-4727	169	1	available	available	ADJ
cana-4727	169	2	:	:	PUNCT
cana-4727	170	1	https://doi.org/10.1109/mahc.1985.10011	https://doi.org/10.1109/mahc.1985.10011	PROPN
cana-4727	170	2	[	[	X
cana-4727	170	3	12	12	NUM
cana-4727	170	4	]	]	PUNCT
cana-4727	170	5	s.	s.	PROPN
cana-4727	170	6	even	even	ADV
cana-4727	170	7	,	,	PUNCT
cana-4727	170	8	"	"	PUNCT
cana-4727	170	9	an	an	DET
cana-4727	170	10	algorithm	algorithm	NOUN
cana-4727	170	11	for	for	ADP
cana-4727	170	12	determining	determine	VERB
cana-4727	170	13	whether	whether	SCONJ
cana-4727	170	14	the	the	DET
cana-4727	170	15	connectivity	connectivity	NOUN
cana-4727	170	16	of	of	ADP
cana-4727	170	17	a	a	DET
cana-4727	170	18	graph	graph	NOUN
cana-4727	170	19	is	be	AUX
cana-4727	170	20	at	at	ADP
cana-4727	170	21	least	least	ADJ
cana-4727	170	22	k	k	NOUN
cana-4727	170	23	,	,	PUNCT
cana-4727	170	24	"	"	PUNCT
cana-4727	170	25	siam	siam	ADJ
cana-4727	170	26	journal	journal	NOUN
cana-4727	170	27	on	on	ADP
cana-4727	170	28	computing	computing	NOUN
cana-4727	170	29	,	,	PUNCT
cana-4727	170	30	vol	vol	NOUN
cana-4727	170	31	.	.	PROPN
cana-4727	170	32	4	4	NUM
cana-4727	170	33	,	,	PUNCT
cana-4727	170	34	no	no	INTJ
cana-4727	170	35	.	.	NOUN
cana-4727	170	36	3	3	NUM
cana-4727	170	37	,	,	PUNCT
cana-4727	170	38	pp	pp	ADJ
cana-4727	170	39	.	.	PUNCT
cana-4727	171	1	393–396	393–396	NUM
cana-4727	171	2	,	,	PUNCT
cana-4727	171	3	sept	sept	PROPN
cana-4727	171	4	.	.	PROPN
cana-4727	171	5	1975	1975	NUM
cana-4727	171	6	.	.	PUNCT
cana-4727	172	1	available	available	ADJ
cana-4727	172	2	:	:	PUNCT
cana-4727	173	1	https://doi.org/10.1137/0204035	https://doi.org/10.1137/0204035	NOUN
cana-4727	174	1	[	[	X
cana-4727	174	2	13	13	NUM
cana-4727	174	3	]	]	X
cana-4727	174	4	r.	r.	PROPN
cana-4727	174	5	diestel	diestel	PROPN
cana-4727	174	6	,	,	PUNCT
cana-4727	174	7	"	"	PUNCT
cana-4727	174	8	graph	graph	NOUN
cana-4727	174	9	theory	theory	NOUN
cana-4727	174	10	,	,	PUNCT
cana-4727	174	11	"	"	PUNCT
cana-4727	174	12	5th	5th	ADJ
cana-4727	174	13	ed	ed	NOUN
cana-4727	174	14	.	.	PROPN
cana-4727	174	15	,	,	PUNCT
cana-4727	174	16	springer	springer	NOUN
cana-4727	174	17	,	,	PUNCT
cana-4727	174	18	2017	2017	NUM
cana-4727	174	19	.	.	PUNCT
cana-4727	175	1	available	available	ADJ
cana-4727	175	2	:	:	PUNCT
cana-4727	175	3	https://doi.org/10.1007/978-3662-53622-3	https://doi.org/10.1007/978-3662-53622-3	PRON
cana-4727	176	1	[	[	X
cana-4727	176	2	14	14	NUM
cana-4727	176	3	]	]	X
cana-4727	176	4	g.	g.	PROPN
cana-4727	176	5	n.	n.	PROPN
cana-4727	176	6	frederickson	frederickson	PROPN
cana-4727	176	7	,	,	PUNCT
cana-4727	176	8	"	"	PUNCT
cana-4727	176	9	ambivalent	ambivalent	ADJ
cana-4727	176	10	data	data	NOUN
cana-4727	176	11	structures	structure	NOUN
cana-4727	176	12	for	for	ADP
cana-4727	176	13	dynamic	dynamic	ADJ
cana-4727	176	14	2	2	NUM
cana-4727	176	15	-	-	PUNCT
cana-4727	176	16	edge	edge	NOUN
cana-4727	176	17	-	-	PUNCT
cana-4727	176	18	connectivity	connectivity	NOUN
cana-4727	176	19	and	and	CCONJ
cana-4727	176	20	k	k	NOUN
cana-4727	176	21	smallest	small	ADJ
cana-4727	176	22	spanning	span	VERB
cana-4727	176	23	trees	tree	NOUN
cana-4727	176	24	,	,	PUNCT
cana-4727	176	25	"	"	PUNCT
cana-4727	176	26	siam	siam	ADJ
cana-4727	176	27	journal	journal	NOUN
cana-4727	176	28	on	on	ADP
cana-4727	176	29	computing	computing	NOUN
cana-4727	176	30	,	,	PUNCT
cana-4727	176	31	vol	vol	NOUN
cana-4727	176	32	.	.	PROPN
cana-4727	176	33	26	26	NUM
cana-4727	176	34	,	,	PUNCT
cana-4727	176	35	no	no	INTJ
cana-4727	176	36	.	.	NOUN
cana-4727	176	37	2	2	NUM
cana-4727	176	38	,	,	PUNCT
cana-4727	176	39	pp	pp	ADJ
cana-4727	176	40	.	.	PUNCT
cana-4727	177	1	484–538	484–538	NUM
cana-4727	177	2	,	,	PUNCT
cana-4727	177	3	apr	apr	NOUN
cana-4727	177	4	.	.	PROPN
cana-4727	177	5	1997	1997	NUM
cana-4727	177	6	.	.	PUNCT
cana-4727	178	1	available	available	ADJ
cana-4727	178	2	:	:	PUNCT
cana-4727	179	1	https://doi.org/10.1137/s0097539793250501	https://doi.org/10.1137/s0097539793250501	NUM
cana-4727	179	2	[	[	X
cana-4727	179	3	15	15	NUM
cana-4727	179	4	]	]	X
cana-4727	179	5	d.	d.	PROPN
cana-4727	179	6	eppstein	eppstein	PROPN
cana-4727	179	7	,	,	PUNCT
cana-4727	179	8	"	"	PUNCT
cana-4727	179	9	finding	find	VERB
cana-4727	179	10	the	the	DET
cana-4727	179	11	k	k	PROPN
cana-4727	179	12	shortest	short	ADJ
cana-4727	179	13	paths	path	NOUN
cana-4727	179	14	,	,	PUNCT
cana-4727	179	15	"	"	PUNCT
cana-4727	179	16	siam	siam	ADJ
cana-4727	179	17	journal	journal	NOUN
cana-4727	179	18	on	on	ADP
cana-4727	179	19	computing	computing	NOUN
cana-4727	179	20	,	,	PUNCT
cana-4727	179	21	vol	vol	NOUN
cana-4727	179	22	.	.	PROPN
cana-4727	179	23	28	28	NUM
cana-4727	179	24	,	,	PUNCT
cana-4727	179	25	no	no	INTJ
cana-4727	179	26	.	.	NOUN
cana-4727	179	27	2	2	NUM
cana-4727	179	28	,	,	PUNCT
cana-4727	179	29	pp	pp	ADJ
cana-4727	179	30	.	.	PUNCT
cana-4727	180	1	652–673	652–673	NUM
cana-4727	180	2	,	,	PUNCT
cana-4727	180	3	1998	1998	NUM
cana-4727	180	4	.	.	PUNCT
cana-4727	181	1	available	available	ADJ
cana-4727	181	2	:	:	PUNCT
cana-4727	182	1	https://doi.org/10.1137/s0097539795290477	https://doi.org/10.1137/s0097539795290477	PROPN
cana-4727	183	1	[	[	X
cana-4727	183	2	16	16	NUM
cana-4727	183	3	]	]	X
cana-4727	183	4	h.	h.	PROPN
cana-4727	183	5	whitney	whitney	PROPN
cana-4727	183	6	,	,	PUNCT
cana-4727	183	7	"	"	PUNCT
cana-4727	183	8	congruent	congruent	ADJ
cana-4727	183	9	graphs	graph	NOUN
cana-4727	183	10	and	and	CCONJ
cana-4727	183	11	the	the	DET
cana-4727	183	12	connectivity	connectivity	NOUN
cana-4727	183	13	of	of	ADP
cana-4727	183	14	graphs	graph	NOUN
cana-4727	183	15	,	,	PUNCT
cana-4727	183	16	"	"	PUNCT
cana-4727	183	17	american	american	ADJ
cana-4727	183	18	journal	journal	PROPN
cana-4727	183	19	of	of	ADP
cana-4727	183	20	mathematics	mathematics	PROPN
cana-4727	183	21	,	,	PUNCT
cana-4727	183	22	vol	vol	NOUN
cana-4727	183	23	.	.	PROPN
cana-4727	183	24	54	54	NUM
cana-4727	183	25	,	,	PUNCT
cana-4727	183	26	no	no	INTJ
cana-4727	183	27	.	.	NOUN
cana-4727	183	28	1	1	NUM
cana-4727	183	29	,	,	PUNCT
cana-4727	183	30	pp	pp	ADJ
cana-4727	183	31	.	.	PUNCT
cana-4727	184	1	150–168	150–168	NUM
cana-4727	184	2	,	,	PUNCT
cana-4727	184	3	jan	jan	PROPN
cana-4727	184	4	.	.	PROPN
cana-4727	184	5	1932	1932	NUM
cana-4727	184	6	.	.	PUNCT
cana-4727	185	1	available	available	ADJ
cana-4727	185	2	:	:	PUNCT
cana-4727	185	3	https://doi.org/10.2307/2371086	https://doi.org/10.2307/2371086	X
cana-4727	186	1	[	[	X
cana-4727	186	2	17	17	NUM
cana-4727	186	3	]	]	X
cana-4727	186	4	j.	j.	PROPN
cana-4727	186	5	edmonds	edmonds	PROPN
cana-4727	186	6	,	,	PUNCT
cana-4727	186	7	"	"	PUNCT
cana-4727	186	8	paths	path	NOUN
cana-4727	186	9	,	,	PUNCT
cana-4727	186	10	trees	tree	NOUN
cana-4727	186	11	,	,	PUNCT
cana-4727	186	12	and	and	CCONJ
cana-4727	186	13	flowers	flower	NOUN
cana-4727	186	14	,	,	PUNCT
cana-4727	186	15	"	"	PUNCT
cana-4727	186	16	canadian	canadian	ADJ
cana-4727	186	17	journal	journal	NOUN
cana-4727	186	18	of	of	ADP
cana-4727	186	19	mathematics	mathematics	PROPN
cana-4727	186	20	,	,	PUNCT
cana-4727	186	21	vol	vol	NOUN
cana-4727	186	22	.	.	PROPN
cana-4727	186	23	17	17	NUM
cana-4727	186	24	,	,	PUNCT
cana-4727	186	25	pp	pp	ADJ
cana-4727	186	26	.	.	PUNCT
cana-4727	187	1	449–467	449–467	NUM
cana-4727	187	2	,	,	PUNCT
cana-4727	187	3	1965	1965	NUM
cana-4727	187	4	.	.	PUNCT
cana-4727	188	1	available	available	ADJ
cana-4727	188	2	:	:	PUNCT
cana-4727	189	1	https://doi.org/10.4153/cjm-1965-045-4	https://doi.org/10.4153/cjm-1965-045-4	PROPN
cana-4727	189	2	[	[	X
cana-4727	189	3	18	18	NUM
cana-4727	189	4	]	]	PUNCT
cana-4727	189	5	m.	m.	NOUN
cana-4727	189	6	yannakakis	yannakakis	NOUN
cana-4727	189	7	,	,	PUNCT
cana-4727	189	8	"	"	PUNCT
cana-4727	189	9	nodeand	nodeand	CCONJ
cana-4727	189	10	edge	edge	NOUN
cana-4727	189	11	-	-	PUNCT
cana-4727	189	12	deletion	deletion	NOUN
cana-4727	189	13	np	np	NOUN
cana-4727	189	14	-	-	PUNCT
cana-4727	189	15	complete	complete	ADJ
cana-4727	189	16	problems	problem	NOUN
cana-4727	189	17	,	,	PUNCT
cana-4727	189	18	"	"	PUNCT
cana-4727	189	19	proceedings	proceeding	NOUN
cana-4727	189	20	of	of	ADP
cana-4727	189	21	the	the	DET
cana-4727	189	22	tenth	tenth	ADJ
cana-4727	189	23	annual	annual	ADJ
cana-4727	189	24	acm	acm	NOUN
cana-4727	189	25	symposium	symposium	NOUN
cana-4727	189	26	on	on	ADP
cana-4727	189	27	theory	theory	NOUN
cana-4727	189	28	of	of	ADP
cana-4727	189	29	computing	computing	NOUN
cana-4727	189	30	,	,	PUNCT
cana-4727	189	31	pp	pp	ADJ
cana-4727	189	32	.	.	PUNCT
cana-4727	190	1	253–264	253–264	NUM
cana-4727	190	2	,	,	PUNCT
cana-4727	190	3	1978	1978	NUM
cana-4727	190	4	.	.	PUNCT
cana-4727	191	1	available	available	ADJ
cana-4727	191	2	:	:	PUNCT
cana-4727	191	3	https://doi.org/10.1145/800133.804355	https://doi.org/10.1145/800133.804355	X
cana-4727	192	1	[	[	X
cana-4727	192	2	19	19	NUM
cana-4727	192	3	]	]	PUNCT
cana-4727	192	4	s.	s.	PROPN
cana-4727	192	5	s.	s.	PROPN
cana-4727	192	6	skiena	skiena	PROPN
cana-4727	192	7	,	,	PUNCT
cana-4727	192	8	"	"	PUNCT
cana-4727	192	9	the	the	DET
cana-4727	192	10	algorithm	algorithm	NOUN
cana-4727	192	11	design	design	NOUN
cana-4727	192	12	manual	manual	NOUN
cana-4727	192	13	,	,	PUNCT
cana-4727	192	14	"	"	PUNCT
cana-4727	192	15	springer	springer	NOUN
cana-4727	192	16	,	,	PUNCT
cana-4727	192	17	2nd	2nd	ADJ
cana-4727	192	18	ed	ed	NOUN
cana-4727	192	19	.	.	PROPN
cana-4727	192	20	,	,	PUNCT
cana-4727	193	1	pp	pp	ADJ
cana-4727	193	2	.	.	PUNCT
cana-4727	194	1	185	185	NUM
cana-4727	194	2	-	-	SYM
cana-4727	194	3	220	220	NUM
cana-4727	194	4	,	,	PUNCT
cana-4727	194	5	2008	2008	NUM
cana-4727	194	6	.	.	PUNCT
cana-4727	195	1	doi	doi	NOUN
cana-4727	195	2	:	:	PUNCT
cana-4727	195	3	10.1007/978	10.1007/978	NUM
cana-4727	195	4	-	-	SYM
cana-4727	195	5	1	1	NUM
cana-4727	195	6	-	-	PUNCT
cana-4727	195	7	84800	84800	NUM
cana-4727	195	8	-	-	PUNCT
cana-4727	195	9	070	070	NUM
cana-4727	195	10	-	-	SYM
cana-4727	195	11	4	4	NUM
cana-4727	195	12	[	[	SYM
cana-4727	195	13	20	20	NUM
cana-4727	195	14	]	]	PUNCT
cana-4727	195	15	j.	j.	PROPN
cana-4727	195	16	kleinberg	kleinberg	PROPN
cana-4727	195	17	and	and	CCONJ
cana-4727	195	18	é	é	PROPN
cana-4727	195	19	.	.	PROPN
cana-4727	195	20	tardos	tardo	NOUN
cana-4727	195	21	,	,	PUNCT
cana-4727	195	22	"	"	PUNCT
cana-4727	195	23	algorithm	algorithm	NOUN
cana-4727	195	24	design	design	NOUN
cana-4727	195	25	,	,	PUNCT
cana-4727	195	26	"	"	PUNCT
cana-4727	195	27	pearson	pearson	PROPN
cana-4727	195	28	,	,	PUNCT
cana-4727	195	29	pp	pp	ADJ
cana-4727	195	30	.	.	PUNCT
cana-4727	196	1	135	135	NUM
cana-4727	196	2	-	-	SYM
cana-4727	196	3	172	172	NUM
cana-4727	196	4	,	,	PUNCT
cana-4727	196	5	2005	2005	NUM
cana-4727	196	6	.	.	PUNCT
cana-4727	197	1	doi	doi	NOUN
cana-4727	197	2	:	:	PUNCT
cana-4727	197	3	10.5555/993483	10.5555/993483	NUM
cana-4727	198	1	[	[	X
cana-4727	198	2	21	21	NUM
cana-4727	198	3	]	]	X
cana-4727	198	4	g.	g.	PROPN
cana-4727	198	5	chartrand	chartrand	PROPN
cana-4727	198	6	and	and	CCONJ
cana-4727	198	7	p.	p.	PROPN
cana-4727	198	8	zhang	zhang	PROPN
cana-4727	198	9	,	,	PUNCT
cana-4727	198	10	"	"	PUNCT
cana-4727	198	11	a	a	DET
cana-4727	198	12	first	first	ADJ
cana-4727	198	13	course	course	NOUN
cana-4727	198	14	in	in	ADP
cana-4727	198	15	graph	graph	NOUN
cana-4727	198	16	theory	theory	NOUN
cana-4727	198	17	,	,	PUNCT
cana-4727	198	18	"	"	PUNCT
cana-4727	198	19	dover	dover	PROPN
cana-4727	198	20	,	,	PUNCT
cana-4727	198	21	pp	pp	ADJ
cana-4727	198	22	.	.	PUNCT
cana-4727	199	1	78	78	NUM
cana-4727	199	2	-	-	SYM
cana-4727	199	3	112	112	NUM
cana-4727	199	4	,	,	PUNCT
cana-4727	199	5	2012	2012	NUM
cana-4727	199	6	.	.	PUNCT
cana-4727	200	1	doi	doi	NOUN
cana-4727	200	2	:	:	PUNCT
cana-4727	200	3	10.1201	10.1201	NUM
cana-4727	200	4	/	/	SYM
cana-4727	200	5	b12136	b12136	PROPN
cana-4727	201	1	[	[	X
cana-4727	201	2	22	22	NUM
cana-4727	201	3	]	]	X
cana-4727	201	4	r.	r.	PROPN
cana-4727	201	5	karp	karp	PROPN
cana-4727	201	6	,	,	PUNCT
cana-4727	201	7	"	"	PUNCT
cana-4727	201	8	reducibility	reducibility	NOUN
cana-4727	201	9	among	among	ADP
cana-4727	201	10	combinatorial	combinatorial	ADJ
cana-4727	201	11	problems	problem	NOUN
cana-4727	201	12	,	,	PUNCT
cana-4727	201	13	"	"	PUNCT
cana-4727	201	14	in	in	ADP
cana-4727	201	15	complexity	complexity	NOUN
cana-4727	201	16	of	of	ADP
cana-4727	201	17	computer	computer	NOUN
cana-4727	201	18	computations	computation	NOUN
cana-4727	201	19	,	,	PUNCT
cana-4727	201	20	springer	springer	NOUN
cana-4727	201	21	,	,	PUNCT
cana-4727	201	22	pp	pp	PROPN
cana-4727	201	23	.	.	PUNCT
cana-4727	201	24	85	85	NUM
cana-4727	201	25	-	-	SYM
cana-4727	201	26	103	103	NUM
cana-4727	201	27	,	,	PUNCT
cana-4727	201	28	1972	1972	NUM
cana-4727	201	29	.	.	PUNCT
cana-4727	202	1	doi	doi	NOUN
cana-4727	202	2	:	:	PUNCT
cana-4727	202	3	10.1007/978	10.1007/978	NUM
cana-4727	202	4	-	-	SYM
cana-4727	202	5	1	1	NUM
cana-4727	202	6	-	-	PUNCT
cana-4727	202	7	4684	4684	NUM
cana-4727	202	8	-	-	PUNCT
cana-4727	202	9	2001	2001	NUM
cana-4727	202	10	-	-	SYM
cana-4727	202	11	2_9	2_9	NUM
cana-4727	202	12	[	[	X
cana-4727	202	13	23	23	NUM
cana-4727	202	14	]	]	PUNCT
cana-4727	202	15	m.	m.	NOUN
cana-4727	202	16	grohe	grohe	PROPN
cana-4727	202	17	,	,	PUNCT
cana-4727	202	18	"	"	PUNCT
cana-4727	202	19	algorithmic	algorithmic	ADJ
cana-4727	202	20	meta	meta	NOUN
cana-4727	202	21	-	-	PUNCT
cana-4727	202	22	theorems	theorem	NOUN
cana-4727	202	23	,	,	PUNCT
cana-4727	202	24	"	"	PUNCT
cana-4727	202	25	in	in	ADP
cana-4727	202	26	journal	journal	NOUN
cana-4727	202	27	of	of	ADP
cana-4727	202	28	the	the	DET
cana-4727	202	29	acm	acm	PROPN
cana-4727	202	30	,	,	PUNCT
cana-4727	202	31	vol	vol	NOUN
cana-4727	202	32	.	.	PROPN
cana-4727	203	1	59	59	NUM
cana-4727	203	2	,	,	PUNCT
cana-4727	203	3	no	no	INTJ
cana-4727	203	4	.	.	NOUN
cana-4727	203	5	5	5	NUM
cana-4727	203	6	,	,	PUNCT
cana-4727	203	7	pp	pp	ADJ
cana-4727	203	8	.	.	PUNCT
cana-4727	204	1	1	1	NUM
cana-4727	204	2	-	-	SYM
cana-4727	204	3	45	45	NUM
cana-4727	204	4	,	,	PUNCT
cana-4727	204	5	2012	2012	NUM
cana-4727	204	6	.	.	PUNCT
cana-4727	205	1	doi	doi	NOUN
cana-4727	205	2	:	:	PUNCT
cana-4727	205	3	10.1145/2371656.2371657	10.1145/2371656.2371657	NUM
cana-4727	206	1	[	[	X
cana-4727	206	2	24	24	NUM
cana-4727	206	3	]	]	PUNCT
cana-4727	206	4	a.	a.	NOUN
cana-4727	206	5	v.	v.	PROPN
cana-4727	206	6	aho	aho	PROPN
cana-4727	206	7	,	,	PUNCT
cana-4727	206	8	j.	j.	PROPN
cana-4727	206	9	e.	e.	PROPN
cana-4727	206	10	hopcroft	hopcroft	ADV
cana-4727	206	11	,	,	PUNCT
cana-4727	206	12	and	and	CCONJ
cana-4727	206	13	j.	j.	PROPN
cana-4727	206	14	d.	d.	PROPN
cana-4727	206	15	ullman	ullman	PROPN
cana-4727	206	16	,	,	PUNCT
cana-4727	206	17	"	"	PUNCT
cana-4727	206	18	the	the	DET
cana-4727	206	19	design	design	NOUN
cana-4727	206	20	and	and	CCONJ
cana-4727	206	21	analysis	analysis	NOUN
cana-4727	206	22	of	of	ADP
cana-4727	206	23	computer	computer	NOUN
cana-4727	206	24	algorithms	algorithm	NOUN
cana-4727	206	25	,	,	PUNCT
cana-4727	206	26	"	"	PUNCT
cana-4727	206	27	addison	addison	PROPN
cana-4727	206	28	-	-	PUNCT
cana-4727	206	29	wesley	wesley	PROPN
cana-4727	206	30	,	,	PUNCT
cana-4727	206	31	pp	pp	ADJ
cana-4727	206	32	.	.	PUNCT
cana-4727	207	1	200	200	NUM
cana-4727	207	2	-	-	SYM
cana-4727	207	3	245	245	NUM
cana-4727	207	4	,	,	PUNCT
cana-4727	207	5	1974	1974	NUM
cana-4727	207	6	.	.	PUNCT
cana-4727	208	1	doi	doi	NOUN
cana-4727	208	2	:	:	PUNCT
cana-4727	208	3	10.5555/578789	10.5555/578789	NUM