id	sid	tid	token	lemma	pos
cana-3103	1	1	communications	communication	NOUN
cana-3103	1	2	on	on	ADP
cana-3103	1	3	applied	apply	VERB
cana-3103	1	4	nonlinear	nonlinear	ADJ
cana-3103	1	5	analysis	analysis	NOUN
cana-3103	1	6	issn	issn	NOUN
cana-3103	1	7	:	:	PUNCT
cana-3103	1	8	1074	1074	NUM
cana-3103	1	9	-	-	PUNCT
cana-3103	1	10	133x	133x	NUM
cana-3103	1	11	vol	vol	NOUN
cana-3103	1	12	32	32	NUM
cana-3103	1	13	no	no	NOUN
cana-3103	1	14	.	.	PUNCT
cana-3103	2	1	5s	5s	NUM
cana-3103	2	2	(	(	PUNCT
cana-3103	2	3	2025	2025	NUM
cana-3103	2	4	)	)	PUNCT
cana-3103	2	5	325	325	NUM
cana-3103	2	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-3103	2	7	distance	distance	NOUN
cana-3103	2	8	-	-	PUNCT
cana-3103	2	9	based	base	VERB
cana-3103	2	10	robust	robust	ADJ
cana-3103	2	11	fuzzy	fuzzy	ADJ
cana-3103	2	12	topological	topological	ADJ
cana-3103	2	13	mathematical	mathematical	ADJ
cana-3103	2	14	modelling	modelling	NOUN
cana-3103	2	15	for	for	ADP
cana-3103	2	16	spider	spider	NOUN
cana-3103	2	17	networks	network	NOUN
cana-3103	2	18	in	in	ADP
cana-3103	2	19	edge	edge	NOUN
cana-3103	2	20	detection	detection	NOUN
cana-3103	2	21	techniques	technique	NOUN
cana-3103	2	22	1e	1e	NOUN
cana-3103	2	23	.	.	PUNCT
cana-3103	3	1	jayanthi	jayanthi	PROPN
cana-3103	3	2	,	,	PUNCT
cana-3103	3	3	2s	2s	PROPN
cana-3103	3	4	.	.	PUNCT
cana-3103	3	5	shunmugapriya	shunmugapriya	NOUN
cana-3103	4	1	1pg	1pg	ADJ
cana-3103	4	2	and	and	CCONJ
cana-3103	4	3	research	research	NOUN
cana-3103	4	4	department	department	PROPN
cana-3103	4	5	of	of	ADP
cana-3103	4	6	mathematics	mathematic	NOUN
cana-3103	4	7	,	,	PUNCT
cana-3103	4	8	a.v.v.m	a.v.v.m	PROPN
cana-3103	4	9	sri	sri	PROPN
cana-3103	4	10	pushpam	pushpam	PROPN
cana-3103	4	11	college	college	PROPN
cana-3103	4	12	(	(	PUNCT
cana-3103	4	13	autonomous	autonomous	ADJ
cana-3103	4	14	)	)	PUNCT
cana-3103	4	15	,	,	PUNCT
cana-3103	4	16	(	(	PUNCT
cana-3103	4	17	affiliated	affiliate	VERB
cana-3103	4	18	to	to	PART
cana-3103	4	19	bharathidasan	bharathidasan	VERB
cana-3103	4	20	university),poondi	university),poondi	ADV
cana-3103	4	21	,	,	PUNCT
cana-3103	4	22	thanjavur	thanjavur	NOUN
cana-3103	4	23	–	–	PUNCT
cana-3103	4	24	613503	613503	NUM
cana-3103	4	25	,	,	PUNCT
cana-3103	4	26	tamilnadu	tamilnadu	NOUN
cana-3103	4	27	,	,	PUNCT
cana-3103	4	28	india	india	PROPN
cana-3103	4	29	2	2	NUM
cana-3103	4	30	pg	pg	NOUN
cana-3103	4	31	and	and	CCONJ
cana-3103	4	32	research	research	PROPN
cana-3103	4	33	department	department	PROPN
cana-3103	4	34	of	of	ADP
cana-3103	4	35	mathematics	mathematics	PROPN
cana-3103	4	36	,	,	PUNCT
cana-3103	4	37	rajah	rajah	NOUN
cana-3103	4	38	serfoji	serfoji	ADJ
cana-3103	4	39	government	government	NOUN
cana-3103	4	40	college	college	NOUN
cana-3103	4	41	(	(	PUNCT
cana-3103	4	42	autonomous	autonomous	ADJ
cana-3103	4	43	)	)	PUNCT
cana-3103	4	44	,	,	PUNCT
cana-3103	4	45	(	(	PUNCT
cana-3103	4	46	affiliated	affiliate	VERB
cana-3103	4	47	to	to	PART
cana-3103	4	48	bharathidasan	bharathidasan	VERB
cana-3103	4	49	university),thanjavur613005	university),thanjavur613005	ADV
cana-3103	4	50	,	,	PUNCT
cana-3103	4	51	tamilnadu	tamilnadu	NOUN
cana-3103	4	52	,	,	PUNCT
cana-3103	4	53	india	india	PROPN
cana-3103	4	54	1jayanthimax@gmail.com	1jayanthimax@gmail.com	NUM
cana-3103	4	55	,	,	PUNCT
cana-3103	4	56	2	2	NUM
cana-3103	4	57	sspriya1969@gmail.com	sspriya1969@gmail.com	NOUN
cana-3103	4	58	article	article	NOUN
cana-3103	4	59	history	history	NOUN
cana-3103	4	60	:	:	PUNCT
cana-3103	4	61	received	receive	VERB
cana-3103	4	62	:	:	PUNCT
cana-3103	4	63	09	09	NUM
cana-3103	4	64	-	-	SYM
cana-3103	4	65	10	10	NUM
cana-3103	4	66	-	-	PUNCT
cana-3103	4	67	2024	2024	NUM
cana-3103	4	68	revised	revise	VERB
cana-3103	4	69	:	:	PUNCT
cana-3103	4	70	27	27	NUM
cana-3103	4	71	-	-	SYM
cana-3103	4	72	11	11	NUM
cana-3103	4	73	-	-	PUNCT
cana-3103	4	74	2024	2024	NUM
cana-3103	4	75	accepted	accept	VERB
cana-3103	4	76	:	:	PUNCT
cana-3103	4	77	07	07	NUM
cana-3103	4	78	-	-	SYM
cana-3103	4	79	12	12	NUM
cana-3103	4	80	-	-	PUNCT
cana-3103	4	81	2024	2024	NUM
cana-3103	4	82	abstract	abstract	NOUN
cana-3103	4	83	:	:	PUNCT
cana-3103	4	84	introduction	introduction	NOUN
cana-3103	4	85	:	:	PUNCT
cana-3103	4	86	topological	topological	ADJ
cana-3103	4	87	indices	index	NOUN
cana-3103	4	88	are	be	AUX
cana-3103	4	89	numerical	numerical	ADJ
cana-3103	4	90	numbers	number	NOUN
cana-3103	4	91	used	use	VERB
cana-3103	4	92	to	to	PART
cana-3103	4	93	represent	represent	VERB
cana-3103	4	94	a	a	DET
cana-3103	4	95	graph	graph	NOUN
cana-3103	4	96	and	and	CCONJ
cana-3103	4	97	describe	describe	VERB
cana-3103	4	98	its	its	PRON
cana-3103	4	99	characteristics	characteristic	NOUN
cana-3103	4	100	.	.	PUNCT
cana-3103	5	1	in	in	ADP
cana-3103	5	2	this	this	DET
cana-3103	5	3	method	method	NOUN
cana-3103	5	4	to	to	PART
cana-3103	5	5	find	find	VERB
cana-3103	5	6	the	the	DET
cana-3103	5	7	distance	distance	NOUN
cana-3103	5	8	based	base	VERB
cana-3103	5	9	fuzzy	fuzzy	ADJ
cana-3103	5	10	topological	topological	ADJ
cana-3103	5	11	spider	spider	NOUN
cana-3103	5	12	network	network	NOUN
cana-3103	5	13	and	and	CCONJ
cana-3103	5	14	it	it	PRON
cana-3103	5	15	is	be	AUX
cana-3103	5	16	implemented	implement	VERB
cana-3103	5	17	in	in	ADP
cana-3103	5	18	robust	robust	ADJ
cana-3103	5	19	regression	regression	NOUN
cana-3103	5	20	.	.	PUNCT
cana-3103	6	1	it	it	PRON
cana-3103	6	2	will	will	AUX
cana-3103	6	3	give	give	VERB
cana-3103	6	4	the	the	DET
cana-3103	6	5	new	new	ADJ
cana-3103	6	6	proposed	propose	VERB
cana-3103	6	7	robust	robust	ADJ
cana-3103	6	8	fuzzy	fuzzy	ADJ
cana-3103	6	9	topological	topological	ADJ
cana-3103	6	10	model	model	NOUN
cana-3103	6	11	(	(	PUNCT
cana-3103	6	12	rftm	rftm	NOUN
cana-3103	6	13	)	)	PUNCT
cana-3103	6	14	.	.	PUNCT
cana-3103	7	1	this	this	DET
cana-3103	7	2	model	model	NOUN
cana-3103	7	3	connected	connect	VERB
cana-3103	7	4	with	with	ADP
cana-3103	7	5	the	the	DET
cana-3103	7	6	concept	concept	NOUN
cana-3103	7	7	of	of	ADP
cana-3103	7	8	image	image	NOUN
cana-3103	7	9	processing	processing	NOUN
cana-3103	7	10	specially	specially	ADV
cana-3103	7	11	in	in	ADP
cana-3103	7	12	edge	edge	NOUN
cana-3103	7	13	detection	detection	NOUN
cana-3103	7	14	techniques	technique	NOUN
cana-3103	7	15	and	and	CCONJ
cana-3103	7	16	verify	verify	VERB
cana-3103	7	17	our	our	PRON
cana-3103	7	18	proposed	propose	VERB
cana-3103	7	19	model	model	NOUN
cana-3103	7	20	performance	performance	NOUN
cana-3103	7	21	.	.	PUNCT
cana-3103	8	1	objectives	objective	NOUN
cana-3103	8	2	:	:	PUNCT
cana-3103	8	3	distance	distance	NOUN
cana-3103	8	4	-	-	PUNCT
cana-3103	8	5	based	base	VERB
cana-3103	8	6	fuzzy	fuzzy	ADJ
cana-3103	8	7	topological	topological	ADJ
cana-3103	8	8	indices	index	NOUN
cana-3103	8	9	are	be	AUX
cana-3103	8	10	widely	widely	ADV
cana-3103	8	11	used	use	VERB
cana-3103	8	12	in	in	ADP
cana-3103	8	13	chemistry	chemistry	NOUN
cana-3103	8	14	for	for	ADP
cana-3103	8	15	quantitatively	quantitatively	ADV
cana-3103	8	16	describing	describe	VERB
cana-3103	8	17	molecular	molecular	ADJ
cana-3103	8	18	structure	structure	NOUN
cana-3103	8	19	and	and	CCONJ
cana-3103	8	20	correlating	correlate	VERB
cana-3103	8	21	it	it	PRON
cana-3103	8	22	with	with	ADP
cana-3103	8	23	various	various	ADJ
cana-3103	8	24	physicochemical	physicochemical	ADJ
cana-3103	8	25	properties	property	NOUN
cana-3103	8	26	.	.	PUNCT
cana-3103	9	1	these	these	DET
cana-3103	9	2	indices	index	NOUN
cana-3103	9	3	are	be	AUX
cana-3103	9	4	derived	derive	VERB
cana-3103	9	5	from	from	ADP
cana-3103	9	6	the	the	DET
cana-3103	9	7	molecular	molecular	ADJ
cana-3103	9	8	graph	graph	NOUN
cana-3103	9	9	,	,	PUNCT
cana-3103	9	10	where	where	SCONJ
cana-3103	9	11	atoms	atom	NOUN
cana-3103	9	12	are	be	AUX
cana-3103	9	13	represented	represent	VERB
cana-3103	9	14	as	as	ADP
cana-3103	9	15	nodes	node	NOUN
cana-3103	9	16	and	and	CCONJ
cana-3103	9	17	bonds	bond	NOUN
cana-3103	9	18	as	as	ADP
cana-3103	9	19	edges	edge	NOUN
cana-3103	9	20	.	.	PUNCT
cana-3103	10	1	there	there	PRON
cana-3103	10	2	are	be	VERB
cana-3103	10	3	several	several	ADJ
cana-3103	10	4	distances	distance	NOUN
cana-3103	10	5	based	base	VERB
cana-3103	10	6	topological	topological	ADJ
cana-3103	10	7	indices	index	NOUN
cana-3103	10	8	,	,	PUNCT
cana-3103	10	9	as	as	ADV
cana-3103	10	10	well	well	ADV
cana-3103	10	11	as	as	ADP
cana-3103	10	12	a	a	DET
cana-3103	10	13	diverse	diverse	ADJ
cana-3103	10	14	set	set	NOUN
cana-3103	10	15	of	of	ADP
cana-3103	10	16	distance	distance	NOUN
cana-3103	10	17	-	-	PUNCT
cana-3103	10	18	based	base	VERB
cana-3103	10	19	molecular	molecular	ADJ
cana-3103	10	20	structure	structure	NOUN
cana-3103	10	21	descriptors	descriptor	NOUN
cana-3103	10	22	.	.	PUNCT
cana-3103	11	1	structure	structure	NOUN
cana-3103	11	2	-	-	PUNCT
cana-3103	11	3	based	base	VERB
cana-3103	11	4	topological	topological	ADJ
cana-3103	11	5	descriptors	descriptor	NOUN
cana-3103	11	6	of	of	ADP
cana-3103	11	7	chemical	chemical	NOUN
cana-3103	11	8	networks	network	NOUN
cana-3103	11	9	allow	allow	VERB
cana-3103	11	10	us	we	PRON
cana-3103	11	11	to	to	PART
cana-3103	11	12	predict	predict	VERB
cana-3103	11	13	physicochemical	physicochemical	ADJ
cana-3103	11	14	attributes	attribute	NOUN
cana-3103	11	15	and	and	CCONJ
cana-3103	11	16	bioactivities	bioactivitie	NOUN
cana-3103	11	17	of	of	ADP
cana-3103	11	18	compounds	compound	NOUN
cana-3103	11	19	using	use	VERB
cana-3103	11	20	qsar	qsar	NOUN
cana-3103	11	21	/	/	SYM
cana-3103	11	22	qspr	qspr	NOUN
cana-3103	11	23	approaches	approach	NOUN
cana-3103	11	24	.	.	PUNCT
cana-3103	12	1	topological	topological	ADJ
cana-3103	12	2	indices	index	NOUN
cana-3103	12	3	are	be	AUX
cana-3103	12	4	numerical	numerical	ADJ
cana-3103	12	5	numbers	number	NOUN
cana-3103	12	6	used	use	VERB
cana-3103	12	7	to	to	PART
cana-3103	12	8	represent	represent	VERB
cana-3103	12	9	a	a	DET
cana-3103	12	10	graph	graph	NOUN
cana-3103	12	11	and	and	CCONJ
cana-3103	12	12	describe	describe	VERB
cana-3103	12	13	its	its	PRON
cana-3103	12	14	characteristics	characteristic	NOUN
cana-3103	12	15	.	.	PUNCT
cana-3103	13	1	a	a	DET
cana-3103	13	2	robust	robust	ADJ
cana-3103	13	3	fuzzy	fuzzy	ADJ
cana-3103	13	4	graph	graph	NOUN
cana-3103	13	5	is	be	AUX
cana-3103	13	6	a	a	DET
cana-3103	13	7	concept	concept	NOUN
cana-3103	13	8	that	that	PRON
cana-3103	13	9	integrates	integrate	VERB
cana-3103	13	10	the	the	DET
cana-3103	13	11	robustness	robustness	NOUN
cana-3103	13	12	of	of	ADP
cana-3103	13	13	graph	graph	NOUN
cana-3103	13	14	structures	structure	NOUN
cana-3103	13	15	with	with	ADP
cana-3103	13	16	the	the	DET
cana-3103	13	17	flexibility	flexibility	NOUN
cana-3103	13	18	and	and	CCONJ
cana-3103	13	19	uncertainty	uncertainty	NOUN
cana-3103	13	20	modelling	modelling	NOUN
cana-3103	13	21	provided	provide	VERB
cana-3103	13	22	by	by	ADP
cana-3103	13	23	fuzzy	fuzzy	ADJ
cana-3103	13	24	graph	graph	NOUN
cana-3103	13	25	theory	theory	NOUN
cana-3103	13	26	.	.	PUNCT
cana-3103	14	1	it	it	PRON
cana-3103	14	2	is	be	AUX
cana-3103	14	3	used	use	VERB
cana-3103	14	4	in	in	ADP
cana-3103	14	5	applications	application	NOUN
cana-3103	14	6	where	where	SCONJ
cana-3103	14	7	the	the	DET
cana-3103	14	8	system	system	NOUN
cana-3103	14	9	's	's	PART
cana-3103	14	10	topology	topology	NOUN
cana-3103	14	11	or	or	CCONJ
cana-3103	14	12	relationships	relationship	NOUN
cana-3103	14	13	among	among	ADP
cana-3103	14	14	elements	element	NOUN
cana-3103	14	15	(	(	PUNCT
cana-3103	14	16	nodes	node	NOUN
cana-3103	14	17	)	)	PUNCT
cana-3103	14	18	are	be	AUX
cana-3103	14	19	prone	prone	ADJ
cana-3103	14	20	to	to	ADP
cana-3103	14	21	noise	noise	NOUN
cana-3103	14	22	,	,	PUNCT
cana-3103	14	23	uncertainty	uncertainty	NOUN
cana-3103	14	24	,	,	PUNCT
cana-3103	14	25	or	or	CCONJ
cana-3103	14	26	partial	partial	ADJ
cana-3103	14	27	truth	truth	NOUN
cana-3103	14	28	,	,	PUNCT
cana-3103	14	29	and	and	CCONJ
cana-3103	14	30	there	there	PRON
cana-3103	14	31	is	be	VERB
cana-3103	14	32	a	a	DET
cana-3103	14	33	need	need	NOUN
cana-3103	14	34	for	for	ADP
cana-3103	14	35	a	a	DET
cana-3103	14	36	reliable	reliable	ADJ
cana-3103	14	37	representation	representation	NOUN
cana-3103	14	38	and	and	CCONJ
cana-3103	14	39	analysis	analysis	NOUN
cana-3103	14	40	despite	despite	SCONJ
cana-3103	14	41	these	these	DET
cana-3103	14	42	uncertainties	uncertainty	NOUN
cana-3103	14	43	.	.	PUNCT
cana-3103	15	1	methods	method	NOUN
cana-3103	15	2	:	:	PUNCT
cana-3103	15	3	to	to	PART
cana-3103	15	4	find	find	VERB
cana-3103	15	5	the	the	DET
cana-3103	15	6	distance	distance	NOUN
cana-3103	15	7	based	base	VERB
cana-3103	15	8	fuzzy	fuzzy	ADJ
cana-3103	15	9	topological	topological	ADJ
cana-3103	15	10	spider	spider	NOUN
cana-3103	15	11	network	network	NOUN
cana-3103	15	12	and	and	CCONJ
cana-3103	15	13	it	it	PRON
cana-3103	15	14	is	be	AUX
cana-3103	15	15	implemented	implement	VERB
cana-3103	15	16	in	in	ADP
cana-3103	15	17	robust	robust	ADJ
cana-3103	15	18	regression	regression	NOUN
cana-3103	15	19	.	.	PUNCT
cana-3103	16	1	it	it	PRON
cana-3103	16	2	will	will	AUX
cana-3103	16	3	give	give	VERB
cana-3103	16	4	the	the	DET
cana-3103	16	5	new	new	ADJ
cana-3103	16	6	proposed	propose	VERB
cana-3103	16	7	robust	robust	ADJ
cana-3103	16	8	fuzzy	fuzzy	ADJ
cana-3103	16	9	topological	topological	ADJ
cana-3103	16	10	model	model	NOUN
cana-3103	16	11	(	(	PUNCT
cana-3103	16	12	rftm	rftm	NOUN
cana-3103	16	13	)	)	PUNCT
cana-3103	16	14	.	.	PUNCT
cana-3103	17	1	this	this	DET
cana-3103	17	2	model	model	NOUN
cana-3103	17	3	connected	connect	VERB
cana-3103	17	4	with	with	ADP
cana-3103	17	5	the	the	DET
cana-3103	17	6	concept	concept	NOUN
cana-3103	17	7	of	of	ADP
cana-3103	17	8	image	image	NOUN
cana-3103	17	9	processing	processing	NOUN
cana-3103	17	10	specially	specially	ADV
cana-3103	17	11	in	in	ADP
cana-3103	17	12	edge	edge	NOUN
cana-3103	17	13	detection	detection	NOUN
cana-3103	17	14	techniques	technique	NOUN
cana-3103	17	15	and	and	CCONJ
cana-3103	17	16	verify	verify	VERB
cana-3103	17	17	our	our	PRON
cana-3103	17	18	proposed	propose	VERB
cana-3103	17	19	model	model	NOUN
cana-3103	17	20	performance	performance	NOUN
cana-3103	17	21	.	.	PUNCT
cana-3103	18	1	results	result	NOUN
cana-3103	18	2	:	:	PUNCT
cana-3103	18	3	in	in	ADP
cana-3103	18	4	this	this	DET
cana-3103	18	5	paper	paper	NOUN
cana-3103	18	6	,	,	PUNCT
cana-3103	18	7	we	we	PRON
cana-3103	18	8	provide	provide	VERB
cana-3103	18	9	analytical	analytical	ADJ
cana-3103	18	10	formulas	formula	NOUN
cana-3103	18	11	for	for	ADP
cana-3103	18	12	the	the	DET
cana-3103	18	13	szeged	szeged	PROPN
cana-3103	18	14	index	index	PROPN
cana-3103	18	15	,	,	PUNCT
cana-3103	18	16	edge	edge	PROPN
cana-3103	18	17	szeged	szeged	PROPN
cana-3103	18	18	index	index	PROPN
cana-3103	18	19	,	,	PUNCT
cana-3103	18	20	edge	edge	VERB
cana-3103	18	21	vertex	vertex	PROPN
cana-3103	18	22	szeged	szeged	PROPN
cana-3103	18	23	index	index	PROPN
cana-3103	18	24	,	,	PUNCT
cana-3103	18	25	and	and	CCONJ
cana-3103	18	26	pi	pi	NOUN
cana-3103	18	27	index	index	NOUN
cana-3103	18	28	of	of	ADP
cana-3103	18	29	spider	spider	NOUN
cana-3103	18	30	networks	network	NOUN
cana-3103	18	31	and	and	CCONJ
cana-3103	18	32	augmented	augment	VERB
cana-3103	18	33	spider	spider	NOUN
cana-3103	18	34	networks	network	NOUN
cana-3103	18	35	.	.	PUNCT
cana-3103	19	1	our	our	PRON
cana-3103	19	2	proposed	propose	VERB
cana-3103	19	3	result	result	NOUN
cana-3103	19	4	also	also	ADV
cana-3103	19	5	used	use	VERB
cana-3103	19	6	in	in	ADP
cana-3103	19	7	the	the	DET
cana-3103	19	8	concept	concept	NOUN
cana-3103	19	9	of	of	ADP
cana-3103	19	10	edge	edge	NOUN
cana-3103	19	11	detection	detection	NOUN
cana-3103	19	12	techniques	technique	NOUN
cana-3103	19	13	.	.	PUNCT
cana-3103	20	1	conclusions	conclusion	NOUN
cana-3103	20	2	:	:	PUNCT
cana-3103	20	3	the	the	DET
cana-3103	20	4	discrete	discrete	ADJ
cana-3103	20	5	characteristics	characteristic	NOUN
cana-3103	20	6	of	of	ADP
cana-3103	20	7	spider	spider	NOUN
cana-3103	20	8	networks	network	NOUN
cana-3103	20	9	and	and	CCONJ
cana-3103	20	10	augmented	augment	VERB
cana-3103	20	11	spider	spider	NOUN
cana-3103	20	12	networks	network	NOUN
cana-3103	20	13	are	be	AUX
cana-3103	20	14	determined	determine	VERB
cana-3103	20	15	using	use	VERB
cana-3103	20	16	distance	distance	NOUN
cana-3103	20	17	-	-	PUNCT
cana-3103	20	18	based	base	VERB
cana-3103	20	19	topological	topological	ADJ
cana-3103	20	20	indices	index	NOUN
cana-3103	20	21	.	.	PUNCT
cana-3103	21	1	we	we	PRON
cana-3103	21	2	determined	determine	VERB
cana-3103	21	3	the	the	DET
cana-3103	21	4	analytical	analytical	ADJ
cana-3103	21	5	formulations	formulation	NOUN
cana-3103	21	6	for	for	ADP
cana-3103	21	7	wiener	wiener	NOUN
cana-3103	21	8	,	,	PUNCT
cana-3103	21	9	szeged	szeged	PROPN
cana-3103	21	10	,	,	PUNCT
cana-3103	21	11	and	and	CCONJ
cana-3103	21	12	their	their	PRON
cana-3103	21	13	numerous	numerous	ADJ
cana-3103	21	14	versions	version	NOUN
cana-3103	21	15	,	,	PUNCT
cana-3103	21	16	as	as	ADV
cana-3103	21	17	well	well	ADV
cana-3103	21	18	as	as	ADP
cana-3103	21	19	pi	pi	NOUN
cana-3103	21	20	of	of	ADP
cana-3103	21	21	spider	spider	NOUN
cana-3103	21	22	networks	network	NOUN
cana-3103	21	23	and	and	CCONJ
cana-3103	21	24	augmented	augment	VERB
cana-3103	21	25	spider	spider	NOUN
cana-3103	21	26	networks	network	NOUN
cana-3103	21	27	.	.	PUNCT
cana-3103	22	1	the	the	DET
cana-3103	22	2	approach	approach	NOUN
cana-3103	22	3	we	we	PRON
cana-3103	22	4	utilized	utilize	VERB
cana-3103	22	5	to	to	PART
cana-3103	22	6	calculate	calculate	VERB
cana-3103	22	7	the	the	DET
cana-3103	22	8	topological	topological	ADJ
cana-3103	22	9	networks	network	NOUN
cana-3103	22	10	is	be	AUX
cana-3103	22	11	useful	useful	ADJ
cana-3103	22	12	for	for	ADP
cana-3103	22	13	evaluating	evaluate	VERB
cana-3103	22	14	the	the	DET
cana-3103	22	15	topological	topological	ADJ
cana-3103	22	16	indices	index	NOUN
cana-3103	22	17	of	of	ADP
cana-3103	22	18	various	various	ADJ
cana-3103	22	19	interconnection	interconnection	NOUN
cana-3103	22	20	networks.the	networks.the	DET
cana-3103	22	21	proposed	propose	VERB
cana-3103	22	22	model	model	NOUN
cana-3103	22	23	rftm	rftm	NOUN
cana-3103	22	24	perform	perform	VERB
cana-3103	22	25	well	well	ADV
cana-3103	22	26	compared	compare	VERB
cana-3103	22	27	communications	communication	NOUN
cana-3103	22	28	on	on	ADP
cana-3103	22	29	applied	apply	VERB
cana-3103	22	30	nonlinear	nonlinear	ADJ
cana-3103	22	31	analysis	analysis	NOUN
cana-3103	22	32	issn	issn	NOUN
cana-3103	22	33	:	:	PUNCT
cana-3103	22	34	1074	1074	NUM
cana-3103	22	35	-	-	PUNCT
cana-3103	22	36	133x	133x	NUM
cana-3103	22	37	vol	vol	NOUN
cana-3103	22	38	32	32	NUM
cana-3103	22	39	no	no	NOUN
cana-3103	22	40	.	.	PUNCT
cana-3103	23	1	5s	5s	NUM
cana-3103	23	2	(	(	PUNCT
cana-3103	23	3	2025	2025	NUM
cana-3103	23	4	)	)	PUNCT
cana-3103	23	5	326	326	NUM
cana-3103	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	23	7	to	to	ADP
cana-3103	23	8	existing	exist	VERB
cana-3103	23	9	model	model	NOUN
cana-3103	23	10	.	.	PUNCT
cana-3103	24	1	also	also	ADV
cana-3103	24	2	,	,	PUNCT
cana-3103	24	3	it	it	PRON
cana-3103	24	4	is	be	AUX
cana-3103	24	5	the	the	DET
cana-3103	24	6	maximum	maximum	ADJ
cana-3103	24	7	no	no	PRON
cana-3103	24	8	of	of	ADP
cana-3103	24	9	true	true	ADJ
cana-3103	24	10	edges	edge	NOUN
cana-3103	24	11	detected	detect	VERB
cana-3103	24	12	and	and	CCONJ
cana-3103	24	13	reduced	reduce	VERB
cana-3103	24	14	the	the	DET
cana-3103	24	15	number	number	NOUN
cana-3103	24	16	of	of	ADP
cana-3103	24	17	false	false	ADJ
cana-3103	24	18	edges	edge	NOUN
cana-3103	24	19	.	.	PUNCT
cana-3103	25	1	the	the	DET
cana-3103	25	2	tls	tls	PROPN
cana-3103	25	3	matlab	matlab	PROPN
cana-3103	25	4	toolbox	toolbox	NOUN
cana-3103	25	5	was	be	AUX
cana-3103	25	6	used	use	VERB
cana-3103	25	7	to	to	PART
cana-3103	25	8	simulate	simulate	VERB
cana-3103	25	9	the	the	DET
cana-3103	25	10	previously	previously	ADV
cana-3103	25	11	provided	provide	VERB
cana-3103	25	12	data	datum	NOUN
cana-3103	25	13	.	.	PUNCT
cana-3103	26	1	depending	depend	VERB
cana-3103	26	2	on	on	ADP
cana-3103	26	3	the	the	DET
cana-3103	26	4	sample	sample	NOUN
cana-3103	26	5	size	size	NOUN
cana-3103	26	6	,	,	PUNCT
cana-3103	26	7	the	the	DET
cana-3103	26	8	data	data	NOUN
cana-3103	26	9	is	be	AUX
cana-3103	26	10	generated	generate	VERB
cana-3103	26	11	randomly	randomly	ADV
cana-3103	26	12	.	.	PUNCT
cana-3103	27	1	furthermore	furthermore	ADV
cana-3103	27	2	,	,	PUNCT
cana-3103	27	3	the	the	DET
cana-3103	27	4	threshold	threshold	NOUN
cana-3103	27	5	settings	setting	NOUN
cana-3103	27	6	in	in	ADP
cana-3103	27	7	the	the	DET
cana-3103	27	8	toolbox	toolbox	NOUN
cana-3103	27	9	in	in	ADP
cana-3103	27	10	the	the	DET
cana-3103	27	11	image	image	NOUN
cana-3103	27	12	are	be	AUX
cana-3103	27	13	set	set	VERB
cana-3103	27	14	to	to	ADP
cana-3103	27	15	two	two	NUM
cana-3103	27	16	.	.	PUNCT
cana-3103	28	1	keywords	keyword	NOUN
cana-3103	28	2	:	:	PUNCT
cana-3103	28	3	distance	distance	NOUN
cana-3103	28	4	,	,	PUNCT
cana-3103	28	5	topological	topological	ADJ
cana-3103	28	6	indices	index	NOUN
cana-3103	28	7	,	,	PUNCT
cana-3103	28	8	szeged	szeged	PROPN
cana-3103	28	9	index	index	PROPN
cana-3103	28	10	,	,	PUNCT
cana-3103	28	11	edge	edge	PROPN
cana-3103	28	12	szeged	szeged	PROPN
cana-3103	28	13	index	index	PROPN
cana-3103	28	14	,	,	PUNCT
cana-3103	28	15	edge	edge	VERB
cana-3103	28	16	vertex	vertex	PROPN
cana-3103	28	17	szeged	szeged	PROPN
cana-3103	28	18	index	index	PROPN
cana-3103	28	19	,	,	PUNCT
cana-3103	28	20	spider	spider	NOUN
cana-3103	28	21	,	,	PUNCT
cana-3103	28	22	edge	edge	NOUN
cana-3103	28	23	detection	detection	NOUN
cana-3103	28	24	and	and	CCONJ
cana-3103	28	25	pi	pi	PROPN
cana-3103	28	26	index	index	NOUN
cana-3103	28	27	.	.	PUNCT
cana-3103	29	1	1	1	X
cana-3103	29	2	.	.	X
cana-3103	29	3	introduction	introduction	NOUN
cana-3103	29	4	a	a	DET
cana-3103	29	5	topological	topological	ADJ
cana-3103	29	6	index	index	NOUN
cana-3103	29	7	is	be	AUX
cana-3103	29	8	a	a	DET
cana-3103	29	9	molecular	molecular	ADJ
cana-3103	29	10	graph	graph	NOUN
cana-3103	29	11	invariant	invariant	ADJ
cana-3103	29	12	that	that	PRON
cana-3103	29	13	aims	aim	VERB
cana-3103	29	14	to	to	PART
cana-3103	29	15	give	give	VERB
cana-3103	29	16	an	an	DET
cana-3103	29	17	easily	easily	ADV
cana-3103	29	18	calculable	calculable	ADJ
cana-3103	29	19	method	method	NOUN
cana-3103	29	20	of	of	ADP
cana-3103	29	21	approximating	approximate	VERB
cana-3103	29	22	a	a	DET
cana-3103	29	23	physicochemical	physicochemical	ADJ
cana-3103	29	24	feature	feature	NOUN
cana-3103	29	25	that	that	PRON
cana-3103	29	26	is	be	AUX
cana-3103	29	27	connected	connect	VERB
cana-3103	29	28	to	to	ADP
cana-3103	29	29	the	the	DET
cana-3103	29	30	molecular	molecular	ADJ
cana-3103	29	31	graph	graph	NOUN
cana-3103	29	32	's	's	PART
cana-3103	29	33	structure	structure	NOUN
cana-3103	29	34	.	.	PUNCT
cana-3103	30	1	the	the	DET
cana-3103	30	2	wiener	wiener	NOUN
cana-3103	30	3	index	index	NOUN
cana-3103	30	4	,	,	PUNCT
cana-3103	30	5	the	the	DET
cana-3103	30	6	total	total	NOUN
cana-3103	30	7	of	of	ADP
cana-3103	30	8	distances	distance	NOUN
cana-3103	30	9	between	between	ADP
cana-3103	30	10	all	all	DET
cana-3103	30	11	pairs	pair	NOUN
cana-3103	30	12	of	of	ADP
cana-3103	30	13	vertices	vertex	NOUN
cana-3103	30	14	in	in	ADP
cana-3103	30	15	a	a	DET
cana-3103	30	16	graph	graph	NOUN
cana-3103	30	17	,	,	PUNCT
cana-3103	30	18	has	have	AUX
cana-3103	30	19	been	be	AUX
cana-3103	30	20	demonstrated	demonstrate	VERB
cana-3103	30	21	by	by	ADP
cana-3103	30	22	harry	harry	PROPN
cana-3103	30	23	wiener	wiener	PROPN
cana-3103	30	24	to	to	PART
cana-3103	30	25	correlate	correlate	VERB
cana-3103	30	26	well	well	ADV
cana-3103	30	27	with	with	ADP
cana-3103	30	28	different	different	ADJ
cana-3103	30	29	characteristics	characteristic	NOUN
cana-3103	30	30	of	of	ADP
cana-3103	30	31	alkanes	alkane	NOUN
cana-3103	30	32	in	in	ADP
cana-3103	30	33	a	a	DET
cana-3103	30	34	series	series	NOUN
cana-3103	30	35	of	of	ADP
cana-3103	30	36	studies	study	NOUN
cana-3103	30	37	in	in	ADP
cana-3103	30	38	1947	1947	NUM
cana-3103	30	39	and	and	CCONJ
cana-3103	30	40	1948	1948	NUM
cana-3103	30	41	[	[	X
cana-3103	30	42	1–4	1–4	X
cana-3103	30	43	]	]	X
cana-3103	30	44	.	.	PUNCT
cana-3103	31	1	key	key	ADJ
cana-3103	31	2	indices	index	NOUN
cana-3103	31	3	such	such	ADJ
cana-3103	31	4	as	as	ADP
cana-3103	31	5	the	the	DET
cana-3103	31	6	wiener	wiener	NOUN
cana-3103	31	7	index	index	NOUN
cana-3103	31	8	,	,	PUNCT
cana-3103	31	9	the	the	DET
cana-3103	31	10	harary	harary	PROPN
cana-3103	31	11	index	index	NOUN
cana-3103	31	12	,	,	PUNCT
cana-3103	31	13	and	and	CCONJ
cana-3103	31	14	the	the	DET
cana-3103	31	15	randić	randić	PROPN
cana-3103	31	16	index	index	NOUN
cana-3103	31	17	help	help	VERB
cana-3103	31	18	researchers	researcher	NOUN
cana-3103	31	19	understand	understand	VERB
cana-3103	31	20	properties	property	NOUN
cana-3103	31	21	like	like	ADP
cana-3103	31	22	boiling	boiling	NOUN
cana-3103	31	23	points	point	NOUN
cana-3103	31	24	,	,	PUNCT
cana-3103	31	25	stability	stability	NOUN
cana-3103	31	26	,	,	PUNCT
cana-3103	31	27	and	and	CCONJ
cana-3103	31	28	reactivity	reactivity	NOUN
cana-3103	31	29	,	,	PUNCT
cana-3103	31	30	by	by	ADP
cana-3103	31	31	providing	provide	VERB
cana-3103	31	32	numerical	numerical	ADJ
cana-3103	31	33	values	value	NOUN
cana-3103	31	34	based	base	VERB
cana-3103	31	35	on	on	ADP
cana-3103	31	36	distances	distance	NOUN
cana-3103	31	37	between	between	ADP
cana-3103	31	38	atoms	atom	NOUN
cana-3103	31	39	.	.	PUNCT
cana-3103	32	1	the	the	DET
cana-3103	32	2	study	study	NOUN
cana-3103	32	3	of	of	ADP
cana-3103	32	4	topological	topological	ADJ
cana-3103	32	5	indices	index	NOUN
cana-3103	32	6	is	be	AUX
cana-3103	32	7	a	a	DET
cana-3103	32	8	central	central	ADJ
cana-3103	32	9	part	part	NOUN
cana-3103	32	10	of	of	ADP
cana-3103	32	11	cheminformatics	cheminformatic	NOUN
cana-3103	32	12	and	and	CCONJ
cana-3103	32	13	mathematical	mathematical	ADJ
cana-3103	32	14	chemistry	chemistry	NOUN
cana-3103	32	15	,	,	PUNCT
cana-3103	32	16	where	where	SCONJ
cana-3103	32	17	these	these	DET
cana-3103	32	18	indices	index	NOUN
cana-3103	32	19	help	help	VERB
cana-3103	32	20	to	to	PART
cana-3103	32	21	describe	describe	VERB
cana-3103	32	22	molecular	molecular	ADJ
cana-3103	32	23	structures	structure	NOUN
cana-3103	32	24	quantitatively	quantitatively	ADV
cana-3103	32	25	and	and	CCONJ
cana-3103	32	26	predict	predict	VERB
cana-3103	32	27	various	various	ADJ
cana-3103	32	28	properties	property	NOUN
cana-3103	32	29	of	of	ADP
cana-3103	32	30	chemical	chemical	NOUN
cana-3103	32	31	compounds	compound	NOUN
cana-3103	32	32	.	.	PUNCT
cana-3103	33	1	topological	topological	ADJ
cana-3103	33	2	indices	index	NOUN
cana-3103	33	3	are	be	AUX
cana-3103	33	4	scalar	scalar	ADJ
cana-3103	33	5	values	value	NOUN
cana-3103	33	6	derived	derive	VERB
cana-3103	33	7	from	from	ADP
cana-3103	33	8	the	the	DET
cana-3103	33	9	graph	graph	NOUN
cana-3103	33	10	representation	representation	NOUN
cana-3103	33	11	of	of	ADP
cana-3103	33	12	molecules	molecule	NOUN
cana-3103	33	13	,	,	PUNCT
cana-3103	33	14	where	where	SCONJ
cana-3103	33	15	atoms	atom	NOUN
cana-3103	33	16	are	be	AUX
cana-3103	33	17	treated	treat	VERB
cana-3103	33	18	as	as	ADP
cana-3103	33	19	nodes	node	NOUN
cana-3103	33	20	and	and	CCONJ
cana-3103	33	21	bonds	bond	NOUN
cana-3103	33	22	as	as	ADP
cana-3103	33	23	edges	edge	NOUN
cana-3103	33	24	.	.	PUNCT
cana-3103	34	1	while	while	SCONJ
cana-3103	34	2	topological	topological	ADJ
cana-3103	34	3	indices	index	NOUN
cana-3103	34	4	are	be	AUX
cana-3103	34	5	powerful	powerful	ADJ
cana-3103	34	6	tools	tool	NOUN
cana-3103	34	7	,	,	PUNCT
cana-3103	34	8	their	their	PRON
cana-3103	34	9	application	application	NOUN
cana-3103	34	10	in	in	ADP
cana-3103	34	11	molecular	molecular	ADJ
cana-3103	34	12	property	property	NOUN
cana-3103	34	13	prediction	prediction	NOUN
cana-3103	34	14	is	be	AUX
cana-3103	34	15	often	often	ADV
cana-3103	34	16	limited	limit	VERB
cana-3103	34	17	by	by	ADP
cana-3103	34	18	the	the	DET
cana-3103	34	19	complexity	complexity	NOUN
cana-3103	34	20	of	of	ADP
cana-3103	34	21	large	large	ADJ
cana-3103	34	22	biological	biological	ADJ
cana-3103	34	23	molecules	molecule	NOUN
cana-3103	34	24	and	and	CCONJ
cana-3103	34	25	networks	network	NOUN
cana-3103	34	26	.	.	PUNCT
cana-3103	35	1	current	current	ADJ
cana-3103	35	2	research	research	NOUN
cana-3103	35	3	is	be	AUX
cana-3103	35	4	expanding	expand	VERB
cana-3103	35	5	to	to	PART
cana-3103	35	6	include	include	VERB
cana-3103	35	7	weighted	weight	VERB
cana-3103	35	8	indices	index	NOUN
cana-3103	35	9	,	,	PUNCT
cana-3103	35	10	incorporating	incorporate	VERB
cana-3103	35	11	3d	3d	NUM
cana-3103	35	12	spatial	spatial	ADJ
cana-3103	35	13	information	information	NOUN
cana-3103	35	14	,	,	PUNCT
cana-3103	35	15	and	and	CCONJ
cana-3103	35	16	developing	develop	VERB
cana-3103	35	17	indices	index	NOUN
cana-3103	35	18	that	that	PRON
cana-3103	35	19	account	account	VERB
cana-3103	35	20	for	for	ADP
cana-3103	35	21	electronic	electronic	ADJ
cana-3103	35	22	effects	effect	NOUN
cana-3103	35	23	in	in	ADP
cana-3103	35	24	atoms	atom	NOUN
cana-3103	35	25	.	.	PUNCT
cana-3103	36	1	additionally	additionally	ADV
cana-3103	36	2	,	,	PUNCT
cana-3103	36	3	machine	machine	NOUN
cana-3103	36	4	learning	learning	NOUN
cana-3103	36	5	techniques	technique	NOUN
cana-3103	36	6	are	be	AUX
cana-3103	36	7	increasingly	increasingly	ADV
cana-3103	36	8	combined	combine	VERB
cana-3103	36	9	with	with	ADP
cana-3103	36	10	topological	topological	ADJ
cana-3103	36	11	indices	index	NOUN
cana-3103	36	12	,	,	PUNCT
cana-3103	36	13	enhancing	enhance	VERB
cana-3103	36	14	the	the	DET
cana-3103	36	15	accuracy	accuracy	NOUN
cana-3103	36	16	of	of	ADP
cana-3103	36	17	predictive	predictive	ADJ
cana-3103	36	18	models	model	NOUN
cana-3103	36	19	.	.	PUNCT
cana-3103	37	1	this	this	DET
cana-3103	37	2	integration	integration	NOUN
cana-3103	37	3	is	be	AUX
cana-3103	37	4	pushing	push	VERB
cana-3103	37	5	the	the	DET
cana-3103	37	6	field	field	NOUN
cana-3103	37	7	toward	toward	ADP
cana-3103	37	8	more	more	ADV
cana-3103	37	9	reliable	reliable	ADJ
cana-3103	37	10	,	,	PUNCT
cana-3103	37	11	rapid	rapid	ADJ
cana-3103	37	12	predictions	prediction	NOUN
cana-3103	37	13	in	in	ADP
cana-3103	37	14	materials	material	NOUN
cana-3103	37	15	science	science	NOUN
cana-3103	37	16	,	,	PUNCT
cana-3103	37	17	drug	drug	NOUN
cana-3103	37	18	discovery	discovery	NOUN
cana-3103	37	19	,	,	PUNCT
cana-3103	37	20	and	and	CCONJ
cana-3103	37	21	environmental	environmental	ADJ
cana-3103	37	22	chemistry	chemistry	NOUN
cana-3103	37	23	.	.	PUNCT
cana-3103	38	1	the	the	DET
cana-3103	38	2	next	next	ADJ
cana-3103	38	3	section	section	NOUN
cana-3103	38	4	describes	describe	VERB
cana-3103	38	5	the	the	DET
cana-3103	38	6	preliminaries	preliminary	NOUN
cana-3103	38	7	and	and	CCONJ
cana-3103	38	8	followed	follow	VERB
cana-3103	38	9	by	by	ADP
cana-3103	38	10	in	in	ADP
cana-3103	38	11	section	section	NOUN
cana-3103	38	12	3	3	NUM
cana-3103	38	13	describe	describe	VERB
cana-3103	38	14	the	the	DET
cana-3103	38	15	spider	spider	NOUN
cana-3103	38	16	networks	network	NOUN
cana-3103	38	17	.	.	PUNCT
cana-3103	39	1	in	in	ADP
cana-3103	39	2	section	section	NOUN
cana-3103	39	3	4	4	NUM
cana-3103	39	4	indicate	indicate	VERB
cana-3103	39	5	that	that	DET
cana-3103	39	6	distance	distance	NOUN
cana-3103	39	7	-	-	PUNCT
cana-3103	39	8	based	base	VERB
cana-3103	39	9	spider	spider	NOUN
cana-3103	39	10	networks	network	NOUN
cana-3103	39	11	.	.	PUNCT
cana-3103	40	1	robust	robust	ADJ
cana-3103	40	2	fuzzy	fuzzy	ADJ
cana-3103	40	3	topological	topological	ADJ
cana-3103	40	4	model	model	NOUN
cana-3103	40	5	(	(	PUNCT
cana-3103	40	6	rftm	rftm	PROPN
cana-3103	40	7	)	)	PUNCT
cana-3103	40	8	describes	describe	VERB
cana-3103	40	9	in	in	ADP
cana-3103	40	10	the	the	DET
cana-3103	40	11	section	section	NOUN
cana-3103	40	12	5	5	NUM
cana-3103	40	13	.	.	PUNCT
cana-3103	41	1	in	in	ADP
cana-3103	41	2	section	section	NOUN
cana-3103	41	3	6	6	NUM
cana-3103	41	4	reveals	reveal	VERB
cana-3103	41	5	that	that	SCONJ
cana-3103	41	6	experimental	experimental	ADJ
cana-3103	41	7	results	result	NOUN
cana-3103	41	8	demonstrated	demonstrate	VERB
cana-3103	41	9	in	in	ADP
cana-3103	41	10	edge	edge	NOUN
cana-3103	41	11	detection	detection	NOUN
cana-3103	41	12	techniques	technique	NOUN
cana-3103	41	13	and	and	CCONJ
cana-3103	41	14	followed	follow	VERB
cana-3103	41	15	by	by	ADP
cana-3103	41	16	final	final	ADJ
cana-3103	41	17	section	section	NOUN
cana-3103	41	18	is	be	AUX
cana-3103	41	19	conclusion	conclusion	NOUN
cana-3103	41	20	.	.	PUNCT
cana-3103	42	1	2	2	X
cana-3103	42	2	.	.	X
cana-3103	42	3	objectives	objective	NOUN
cana-3103	42	4	in	in	ADP
cana-3103	42	5	this	this	DET
cana-3103	42	6	study	study	NOUN
cana-3103	42	7	,	,	PUNCT
cana-3103	42	8	all	all	PRON
cana-3103	42	9	graphs	graph	VERB
cana-3103	42	10	g	g	NOUN
cana-3103	42	11	are	be	AUX
cana-3103	42	12	assumed	assume	VERB
cana-3103	42	13	to	to	PART
cana-3103	42	14	be	be	AUX
cana-3103	42	15	loopless	loopless	NOUN
cana-3103	42	16	,	,	PUNCT
cana-3103	42	17	finite	finite	NOUN
cana-3103	42	18	,	,	PUNCT
cana-3103	42	19	and	and	CCONJ
cana-3103	42	20	undirected	undirected	ADJ
cana-3103	42	21	.	.	PUNCT
cana-3103	43	1	graph	graph	NOUN
cana-3103	43	2	g	g	PROPN
cana-3103	43	3	refers	refer	VERB
cana-3103	43	4	to	to	ADP
cana-3103	43	5	the	the	DET
cana-3103	43	6	collection	collection	NOUN
cana-3103	43	7	of	of	ADP
cana-3103	43	8	vertices	vertex	NOUN
cana-3103	43	9	(	(	PUNCT
cana-3103	43	10	also	also	ADV
cana-3103	43	11	known	know	VERB
cana-3103	43	12	as	as	ADP
cana-3103	43	13	nodes	node	NOUN
cana-3103	43	14	)	)	PUNCT
cana-3103	43	15	linked	link	VERB
cana-3103	43	16	by	by	ADP
cana-3103	43	17	edges	edge	NOUN
cana-3103	43	18	(	(	PUNCT
cana-3103	43	19	also	also	ADV
cana-3103	43	20	referred	refer	VERB
cana-3103	43	21	to	to	ADP
cana-3103	43	22	as	as	ADP
cana-3103	43	23	links	link	NOUN
cana-3103	43	24	)	)	PUNCT
cana-3103	43	25	.	.	PUNCT
cana-3103	44	1	it	it	PRON
cana-3103	44	2	is	be	AUX
cana-3103	44	3	divided	divide	VERB
cana-3103	44	4	into	into	ADP
cana-3103	44	5	two	two	NUM
cana-3103	44	6	sets	set	NOUN
cana-3103	44	7	:	:	PUNCT
cana-3103	44	8	v	v	NUM
cana-3103	44	9	and	and	CCONJ
cana-3103	44	10	e(v	e(v	NOUN
cana-3103	44	11	is	be	AUX
cana-3103	44	12	the	the	DET
cana-3103	44	13	set	set	NOUN
cana-3103	44	14	of	of	ADP
cana-3103	44	15	vertices	vertex	NOUN
cana-3103	44	16	,	,	PUNCT
cana-3103	44	17	while	while	SCONJ
cana-3103	44	18	e	e	NOUN
cana-3103	44	19	is	be	AUX
cana-3103	44	20	the	the	DET
cana-3103	44	21	set	set	NOUN
cana-3103	44	22	of	of	ADP
cana-3103	44	23	edges	edge	NOUN
cana-3103	44	24	)	)	PUNCT
cana-3103	44	25	.	.	PUNCT
cana-3103	45	1	over	over	ADP
cana-3103	45	2	the	the	DET
cana-3103	45	3	last	last	ADJ
cana-3103	45	4	several	several	ADJ
cana-3103	45	5	decades	decade	NOUN
cana-3103	45	6	,	,	PUNCT
cana-3103	45	7	a	a	DET
cana-3103	45	8	wide	wide	ADJ
cana-3103	45	9	range	range	NOUN
cana-3103	45	10	of	of	ADP
cana-3103	45	11	numerical	numerical	ADJ
cana-3103	45	12	values	value	NOUN
cana-3103	45	13	known	know	VERB
cana-3103	45	14	as	as	ADP
cana-3103	45	15	structural	structural	ADJ
cana-3103	45	16	invariants	invariant	NOUN
cana-3103	45	17	,	,	PUNCT
cana-3103	45	18	topological	topological	ADJ
cana-3103	45	19	indices	index	NOUN
cana-3103	45	20	,	,	PUNCT
cana-3103	45	21	or	or	CCONJ
cana-3103	45	22	topological	topological	ADJ
cana-3103	45	23	descriptors	descriptor	NOUN
cana-3103	45	24	have	have	AUX
cana-3103	45	25	been	be	AUX
cana-3103	45	26	developed	develop	VERB
cana-3103	45	27	and	and	CCONJ
cana-3103	45	28	investigated	investigate	VERB
cana-3103	45	29	in	in	ADP
cana-3103	45	30	order	order	NOUN
cana-3103	45	31	to	to	PART
cana-3103	45	32	get	get	VERB
cana-3103	45	33	a	a	DET
cana-3103	45	34	better	well	ADJ
cana-3103	45	35	understanding	understanding	NOUN
cana-3103	45	36	of	of	ADP
cana-3103	45	37	the	the	DET
cana-3103	45	38	properties	property	NOUN
cana-3103	45	39	and	and	CCONJ
cana-3103	45	40	information	information	NOUN
cana-3103	45	41	contained	contain	VERB
cana-3103	45	42	in	in	ADP
cana-3103	45	43	graph	graph	NOUN
cana-3103	45	44	connection	connection	NOUN
cana-3103	45	45	patterns	pattern	NOUN
cana-3103	45	46	.	.	PUNCT
cana-3103	46	1	the	the	DET
cana-3103	46	2	chemical	chemical	NOUN
cana-3103	46	3	networks	network	NOUN
cana-3103	46	4	are	be	AUX
cana-3103	46	5	typically	typically	ADV
cana-3103	46	6	characterized	characterize	VERB
cana-3103	46	7	using	use	VERB
cana-3103	46	8	numerical	numerical	ADJ
cana-3103	46	9	and	and	CCONJ
cana-3103	46	10	topological	topological	ADJ
cana-3103	46	11	indices	index	NOUN
cana-3103	46	12	.	.	PUNCT
cana-3103	47	1	they	they	PRON
cana-3103	47	2	establish	establish	VERB
cana-3103	47	3	the	the	DET
cana-3103	47	4	link	link	NOUN
cana-3103	47	5	between	between	ADP
cana-3103	47	6	a	a	DET
cana-3103	47	7	molecule	molecule	NOUN
cana-3103	47	8	's	's	PART
cana-3103	47	9	structure	structure	NOUN
cana-3103	47	10	and	and	CCONJ
cana-3103	47	11	characteristics	characteristic	NOUN
cana-3103	47	12	.	.	PUNCT
cana-3103	48	1	topological	topological	ADJ
cana-3103	48	2	indices	index	NOUN
cana-3103	48	3	are	be	AUX
cana-3103	48	4	extensively	extensively	ADV
cana-3103	48	5	used	use	VERB
cana-3103	48	6	in	in	ADP
cana-3103	48	7	qsar	qsar	NOUN
cana-3103	48	8	and	and	CCONJ
cana-3103	48	9	qspr	qspr	NOUN
cana-3103	48	10	research	research	NOUN
cana-3103	48	11	studies	study	NOUN
cana-3103	48	12	[	[	X
cana-3103	48	13	1	1	NUM
cana-3103	48	14	]	]	PUNCT
cana-3103	48	15	.	.	PUNCT
cana-3103	49	1	communications	communication	NOUN
cana-3103	49	2	on	on	ADP
cana-3103	49	3	applied	apply	VERB
cana-3103	49	4	nonlinear	nonlinear	ADJ
cana-3103	49	5	analysis	analysis	NOUN
cana-3103	49	6	issn	issn	NOUN
cana-3103	49	7	:	:	PUNCT
cana-3103	49	8	1074	1074	NUM
cana-3103	49	9	-	-	PUNCT
cana-3103	49	10	133x	133x	NUM
cana-3103	49	11	vol	vol	NOUN
cana-3103	49	12	32	32	NUM
cana-3103	49	13	no	no	NOUN
cana-3103	49	14	.	.	PUNCT
cana-3103	50	1	5s	5s	NUM
cana-3103	50	2	(	(	PUNCT
cana-3103	50	3	2025	2025	NUM
cana-3103	50	4	)	)	PUNCT
cana-3103	50	5	327	327	NUM
cana-3103	50	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	50	7	if	if	SCONJ
cana-3103	50	8	g	g	PROPN
cana-3103	50	9	and	and	CCONJ
cana-3103	50	10	h	h	NOUN
cana-3103	50	11	are	be	AUX
cana-3103	50	12	isomorphic	isomorphic	ADJ
cana-3103	50	13	graphs	graph	NOUN
cana-3103	50	14	,	,	PUNCT
cana-3103	50	15	then	then	ADV
cana-3103	50	16	top(g	top(g	NUM
cana-3103	50	17	)	)	PUNCT
cana-3103	50	18	=	=	SYM
cana-3103	50	19	top(h	top(h	X
cana-3103	50	20	)	)	PUNCT
cana-3103	51	1	[	[	X
cana-3103	51	2	2	2	NUM
cana-3103	51	3	]	]	PUNCT
cana-3103	51	4	.	.	PUNCT
cana-3103	52	1	hundreds	hundred	NOUN
cana-3103	52	2	of	of	ADP
cana-3103	52	3	different	different	ADJ
cana-3103	52	4	topological	topological	ADJ
cana-3103	52	5	indices	index	NOUN
cana-3103	52	6	have	have	AUX
cana-3103	52	7	emerged	emerge	VERB
cana-3103	52	8	as	as	ADP
cana-3103	52	9	a	a	DET
cana-3103	52	10	result	result	NOUN
cana-3103	52	11	of	of	ADP
cana-3103	52	12	the	the	DET
cana-3103	52	13	widespread	widespread	ADJ
cana-3103	52	14	usage	usage	NOUN
cana-3103	52	15	of	of	ADP
cana-3103	52	16	fundamental	fundamental	ADJ
cana-3103	52	17	topological	topological	ADJ
cana-3103	52	18	indices	index	NOUN
cana-3103	52	19	such	such	ADJ
cana-3103	52	20	as	as	ADP
cana-3103	52	21	the	the	DET
cana-3103	52	22	wiener	wiener	NOUN
cana-3103	52	23	index	index	NOUN
cana-3103	52	24	[	[	X
cana-3103	52	25	3	3	NUM
cana-3103	52	26	]	]	PUNCT
cana-3103	52	27	,	,	PUNCT
cana-3103	52	28	zagreb	zagreb	PROPN
cana-3103	52	29	index	index	NOUN
cana-3103	52	30	[	[	X
cana-3103	52	31	4	4	NUM
cana-3103	52	32	]	]	PUNCT
cana-3103	52	33	,	,	PUNCT
cana-3103	52	34	and	and	CCONJ
cana-3103	52	35	szeged	szeged	PROPN
cana-3103	52	36	index	index	NOUN
cana-3103	53	1	[	[	X
cana-3103	53	2	5	5	NUM
cana-3103	53	3	]	]	PUNCT
cana-3103	53	4	.	.	PUNCT
cana-3103	54	1	one	one	NUM
cana-3103	54	2	of	of	ADP
cana-3103	54	3	the	the	DET
cana-3103	54	4	earliest	early	ADJ
cana-3103	54	5	indices	index	NOUN
cana-3103	54	6	was	be	AUX
cana-3103	54	7	the	the	DET
cana-3103	54	8	wiener	wiener	NOUN
cana-3103	54	9	index	index	NOUN
cana-3103	54	10	,	,	PUNCT
cana-3103	54	11	created	create	VERB
cana-3103	54	12	by	by	ADP
cana-3103	54	13	harold	harold	PROPN
cana-3103	54	14	wiener	wiener	PROPN
cana-3103	54	15	in	in	ADP
cana-3103	54	16	1947	1947	NUM
cana-3103	55	1	[	[	X
cana-3103	55	2	6	6	NUM
cana-3103	55	3	]	]	PUNCT
cana-3103	55	4	while	while	SCONJ
cana-3103	55	5	researching	research	VERB
cana-3103	55	6	the	the	DET
cana-3103	55	7	boiling	boiling	NOUN
cana-3103	55	8	point	point	NOUN
cana-3103	55	9	of	of	ADP
cana-3103	55	10	paraffins	paraffin	NOUN
cana-3103	55	11	.	.	PUNCT
cana-3103	56	1	the	the	DET
cana-3103	56	2	symbols	symbol	NOUN
cana-3103	56	3	v	v	ADP
cana-3103	56	4	(	(	PUNCT
cana-3103	56	5	g	g	NOUN
cana-3103	56	6	)	)	PUNCT
cana-3103	56	7	and	and	CCONJ
cana-3103	56	8	e(g	e(g	PROPN
cana-3103	56	9	)	)	PUNCT
cana-3103	56	10	denote	denote	VERB
cana-3103	56	11	a	a	DET
cana-3103	56	12	graph	graph	NOUN
cana-3103	56	13	's	's	PART
cana-3103	56	14	vertex	vertex	NOUN
cana-3103	56	15	and	and	CCONJ
cana-3103	56	16	edge	edge	NOUN
cana-3103	56	17	sets	set	NOUN
cana-3103	56	18	,	,	PUNCT
cana-3103	56	19	respectively	respectively	ADV
cana-3103	56	20	.	.	PUNCT
cana-3103	57	1	we	we	PRON
cana-3103	57	2	show	show	VERB
cana-3103	57	3	that	that	SCONJ
cana-3103	57	4	m	m	NOUN
cana-3103	57	5	=	=	ADJ
cana-3103	57	6	|e(g)|	|e(g)|	ADJ
cana-3103	57	7	and	and	CCONJ
cana-3103	57	8	n	n	NOUN
cana-3103	57	9	=	=	SYM
cana-3103	57	10	|v(g)|	|v(g)|	NOUN
cana-3103	57	11	.	.	PUNCT
cana-3103	58	1	the	the	DET
cana-3103	58	2	distance	distance	NOUN
cana-3103	58	3	between	between	ADP
cana-3103	58	4	u	u	NOUN
cana-3103	58	5	and	and	CCONJ
cana-3103	58	6	v	v	NOUN
cana-3103	58	7	in	in	ADP
cana-3103	58	8	g	g	PROPN
cana-3103	58	9	is	be	AUX
cana-3103	58	10	represented	represent	VERB
cana-3103	58	11	by	by	ADP
cana-3103	58	12	dg(u	dg(u	NOUN
cana-3103	58	13	,	,	PUNCT
cana-3103	58	14	v	v	NOUN
cana-3103	58	15	)	)	PUNCT
cana-3103	58	16	for	for	ADP
cana-3103	58	17	vertices	vertex	NOUN
cana-3103	58	18	u	u	NOUN
cana-3103	58	19	,	,	PUNCT
cana-3103	58	20	v∈	v∈	PROPN
cana-3103	58	21	v	v	PROPN
cana-3103	58	22	(	(	PUNCT
cana-3103	58	23	g	g	NOUN
cana-3103	58	24	)	)	PUNCT
cana-3103	58	25	,	,	PUNCT
cana-3103	58	26	and	and	CCONJ
cana-3103	58	27	the	the	DET
cana-3103	58	28	transmission	transmission	NOUN
cana-3103	58	29	of	of	ADP
cana-3103	58	30	x	x	X
cana-3103	58	31	∈	∈	PROPN
cana-3103	58	32	v(g	v(g	NOUN
cana-3103	58	33	)	)	PUNCT
cana-3103	58	34	,	,	PUNCT
cana-3103	58	35	also	also	ADV
cana-3103	58	36	known	know	VERB
cana-3103	58	37	as	as	ADP
cana-3103	58	38	the	the	DET
cana-3103	58	39	status	status	NOUN
cana-3103	58	40	or	or	CCONJ
cana-3103	58	41	simply	simply	ADV
cana-3103	58	42	the	the	DET
cana-3103	58	43	distance	distance	NOUN
cana-3103	58	44	of	of	ADP
cana-3103	58	45	a	a	DET
cana-3103	58	46	vertex	vertex	NOUN
cana-3103	58	47	,	,	PUNCT
cana-3103	58	48	is	be	AUX
cana-3103	58	49	defined	define	VERB
cana-3103	58	50	as	as	ADP
cana-3103	58	51	follows	follow	VERB
cana-3103	58	52	,	,	PUNCT
cana-3103	58	53	to	to	PART
cana-3103	58	54	distinguish	distinguish	VERB
cana-3103	58	55	between	between	ADP
cana-3103	58	56	isomers	isomer	NOUN
cana-3103	58	57	,	,	PUNCT
cana-3103	58	58	the	the	DET
cana-3103	58	59	balaban	balaban	PROPN
cana-3103	58	60	index	index	NOUN
cana-3103	58	61	provides	provide	VERB
cana-3103	58	62	information	information	NOUN
cana-3103	58	63	on	on	ADP
cana-3103	58	64	the	the	DET
cana-3103	58	65	molecule	molecule	NOUN
cana-3103	58	66	's	's	PART
cana-3103	58	67	branching	branching	NOUN
cana-3103	58	68	and	and	CCONJ
cana-3103	58	69	compactness	compactness	NOUN
cana-3103	58	70	.	.	PUNCT
cana-3103	59	1	the	the	DET
cana-3103	59	2	formula	formula	NOUN
cana-3103	59	3	's	's	PART
cana-3103	59	4	denominator	denominator	NOUN
cana-3103	59	5	,	,	PUNCT
cana-3103	59	6	m	m	VERB
cana-3103	59	7	n	n	ADJ
cana-3103	59	8	+	+	NUM
cana-3103	59	9	2	2	NUM
cana-3103	59	10	,	,	PUNCT
cana-3103	59	11	improves	improve	VERB
cana-3103	59	12	the	the	DET
cana-3103	59	13	comparability	comparability	NOUN
cana-3103	59	14	of	of	ADP
cana-3103	59	15	cyclic	cyclic	ADJ
cana-3103	59	16	and	and	CCONJ
cana-3103	59	17	acyclic	acyclic	ADJ
cana-3103	59	18	networks	network	NOUN
cana-3103	59	19	with	with	ADP
cana-3103	59	20	equal	equal	ADJ
cana-3103	59	21	number	number	NOUN
cana-3103	59	22	of	of	ADP
cana-3103	59	23	vertices	vertex	NOUN
cana-3103	59	24	.	.	PUNCT
cana-3103	60	1	harris	harris	PROPN
cana-3103	60	2	operator	operator	NOUN
cana-3103	60	3	to	to	PART
cana-3103	60	4	address	address	VERB
cana-3103	60	5	the	the	DET
cana-3103	60	6	issue	issue	NOUN
cana-3103	60	7	of	of	ADP
cana-3103	60	8	noisy	noisy	ADJ
cana-3103	60	9	response	response	NOUN
cana-3103	60	10	induced	induce	VERB
cana-3103	60	11	by	by	ADP
cana-3103	60	12	a	a	DET
cana-3103	60	13	binary	binary	ADJ
cana-3103	60	14	window	window	NOUN
cana-3103	60	15	function	function	NOUN
cana-3103	60	16	,	,	PUNCT
cana-3103	60	17	harris	harris	PROPN
cana-3103	60	18	proposed	propose	VERB
cana-3103	60	19	utilizing	utilize	VERB
cana-3103	60	20	a	a	DET
cana-3103	60	21	gaussian	gaussian	ADJ
cana-3103	60	22	noisy	noisy	ADJ
cana-3103	60	23	filter	filter	NOUN
cana-3103	60	24	in	in	ADP
cana-3103	60	25	his	his	PRON
cana-3103	60	26	harris	harris	NOUN
cana-3103	60	27	detector	detector	NOUN
cana-3103	60	28	.	.	PUNCT
cana-3103	61	1	the	the	DET
cana-3103	61	2	harris	harris	PROPN
cana-3103	61	3	operator	operator	NOUN
cana-3103	61	4	detector	detector	NOUN
cana-3103	61	5	is	be	AUX
cana-3103	61	6	based	base	VERB
cana-3103	61	7	on	on	ADP
cana-3103	61	8	the	the	DET
cana-3103	61	9	local	local	ADJ
cana-3103	61	10	autocorrelation	autocorrelation	NOUN
cana-3103	61	11	function	function	NOUN
cana-3103	61	12	of	of	ADP
cana-3103	61	13	a	a	DET
cana-3103	61	14	signal	signal	NOUN
cana-3103	61	15	,	,	PUNCT
cana-3103	61	16	which	which	PRON
cana-3103	61	17	looks	look	VERB
cana-3103	61	18	at	at	ADP
cana-3103	61	19	local	local	ADJ
cana-3103	61	20	changes	change	NOUN
cana-3103	61	21	in	in	ADP
cana-3103	61	22	the	the	DET
cana-3103	61	23	signal	signal	NOUN
cana-3103	61	24	with	with	ADP
cana-3103	61	25	patches	patch	NOUN
cana-3103	61	26	slightly	slightly	ADV
cana-3103	61	27	moved	move	VERB
cana-3103	61	28	in	in	ADP
cana-3103	61	29	various	various	ADJ
cana-3103	61	30	directions	direction	NOUN
cana-3103	62	1	[	[	X
cana-3103	62	2	5	5	NUM
cana-3103	62	3	,	,	PUNCT
cana-3103	62	4	6	6	NUM
cana-3103	62	5	]	]	PUNCT
cana-3103	62	6	.	.	PUNCT
cana-3103	63	1	given	give	VERB
cana-3103	63	2	a	a	DET
cana-3103	63	3	point	point	NOUN
cana-3103	63	4	and	and	CCONJ
cana-3103	63	5	a	a	DET
cana-3103	63	6	shift	shift	NOUN
cana-3103	63	7	(	(	PUNCT
cana-3103	63	8	x	x	NOUN
cana-3103	63	9	,	,	PUNCT
cana-3103	63	10	y	y	PROPN
cana-3103	63	11	)	)	PUNCT
cana-3103	63	12	,	,	PUNCT
cana-3103	63	13	the	the	DET
cana-3103	63	14	autocorrelation	autocorrelation	NOUN
cana-3103	63	15	functionis	functionis	NOUN
cana-3103	63	16	,	,	PUNCT
cana-3103	63	17	c(x	c(x	NOUN
cana-3103	63	18	,	,	PUNCT
cana-3103	63	19	y	y	NOUN
cana-3103	63	20	)	)	PUNCT
cana-3103	63	21	=	=	SYM
cana-3103	64	1	σw	σw	PROPN
cana-3103	64	2	[	[	PUNCT
cana-3103	64	3	i(xi	i(xi	X
cana-3103	64	4	,	,	PUNCT
cana-3103	64	5	yi	yi	NOUN
cana-3103	64	6	)	)	PUNCT
cana-3103	64	7	i(xi+δx	i(xi+δx	NOUN
cana-3103	64	8	,	,	PUNCT
cana-3103	64	9	yi+	yi+	PROPN
cana-3103	64	10	δy)]2	δy)]2	PROPN
cana-3103	64	11	a	a	DET
cana-3103	64	12	taylor	taylor	PROPN
cana-3103	64	13	expansion	expansion	NOUN
cana-3103	64	14	with	with	ADP
cana-3103	64	15	just	just	ADV
cana-3103	64	16	first	first	ADJ
cana-3103	64	17	-	-	PUNCT
cana-3103	64	18	order	order	NOUN
cana-3103	64	19	terms	term	NOUN
cana-3103	64	20	can	can	AUX
cana-3103	64	21	approach	approach	VERB
cana-3103	64	22	the	the	DET
cana-3103	64	23	image	image	NOUN
cana-3103	64	24	function	function	NOUN
cana-3103	64	25	i	i	PRON
cana-3103	64	26	(	(	PUNCT
cana-3103	64	27	.	.	PUNCT
cana-3103	64	28	)	)	PUNCT
cana-3103	64	29	.	.	PUNCT
cana-3103	65	1	the	the	DET
cana-3103	65	2	autocorrelation	autocorrelation	NOUN
cana-3103	65	3	matrix	matrix	NOUN
cana-3103	65	4	c(x	c(x	NOUN
cana-3103	65	5	,	,	PUNCT
cana-3103	65	6	y	y	NOUN
cana-3103	65	7	)	)	PUNCT
cana-3103	65	8	represents	represent	VERB
cana-3103	65	9	the	the	DET
cana-3103	65	10	intensity	intensity	NOUN
cana-3103	65	11	structure	structure	NOUN
cana-3103	65	12	of	of	ADP
cana-3103	65	13	the	the	DET
cana-3103	65	14	immediate	immediate	ADJ
cana-3103	65	15	neighborhood	neighborhood	NOUN
cana-3103	65	16	.	.	PUNCT
cana-3103	66	1	finally	finally	ADV
cana-3103	66	2	,	,	PUNCT
cana-3103	66	3	define	define	VERB
cana-3103	66	4	the	the	DET
cana-3103	66	5	operator	operator	NOUN
cana-3103	66	6	points	point	NOUN
cana-3103	66	7	as	as	ADP
cana-3103	66	8	local	local	ADJ
cana-3103	66	9	maxima	maxima	NOUN
cana-3103	66	10	of	of	ADP
cana-3103	66	11	the	the	DET
cana-3103	66	12	operator	operator	NOUN
cana-3103	66	13	response	response	NOUN
cana-3103	66	14	using	use	VERB
cana-3103	66	15	c(x	c(x	NOUN
cana-3103	66	16	,	,	PUNCT
cana-3103	66	17	y	y	NOUN
cana-3103	66	18	)	)	PUNCT
cana-3103	66	19	eigenvalues	eigenvalue	VERB
cana-3103	66	20	.	.	PUNCT
cana-3103	67	1	fast	fast	ADJ
cana-3103	67	2	operator	operator	NOUN
cana-3103	67	3	many	many	ADJ
cana-3103	67	4	of	of	ADP
cana-3103	67	5	the	the	DET
cana-3103	67	6	various	various	ADJ
cana-3103	67	7	feature	feature	NOUN
cana-3103	67	8	detectors	detector	NOUN
cana-3103	67	9	are	be	AUX
cana-3103	67	10	really	really	ADV
cana-3103	67	11	good	good	ADJ
cana-3103	67	12	.	.	PUNCT
cana-3103	68	1	however	however	ADV
cana-3103	68	2	,	,	PUNCT
cana-3103	68	3	they	they	PRON
cana-3103	68	4	are	be	AUX
cana-3103	68	5	not	not	PART
cana-3103	68	6	fast	fast	ADJ
cana-3103	68	7	enough	enough	ADV
cana-3103	68	8	for	for	ADP
cana-3103	68	9	realtime	realtime	NOUN
cana-3103	68	10	applications	application	NOUN
cana-3103	68	11	.	.	PUNCT
cana-3103	69	1	for	for	ADP
cana-3103	69	2	example	example	NOUN
cana-3103	69	3	,	,	PUNCT
cana-3103	69	4	mobile	mobile	ADJ
cana-3103	69	5	robots	robot	NOUN
cana-3103	69	6	with	with	ADP
cana-3103	69	7	low	low	ADJ
cana-3103	69	8	computing	computing	NOUN
cana-3103	69	9	power	power	NOUN
cana-3103	69	10	that	that	PRON
cana-3103	69	11	employ	employ	VERB
cana-3103	69	12	slam	slam	NOUN
cana-3103	69	13	(	(	PUNCT
cana-3103	69	14	simultaneous	simultaneous	ADJ
cana-3103	69	15	localization	localization	NOUN
cana-3103	69	16	and	and	CCONJ
cana-3103	69	17	mapping	mapping	NOUN
cana-3103	69	18	)	)	PUNCT
cana-3103	69	19	.	.	PUNCT
cana-3103	70	1	to	to	PART
cana-3103	70	2	solve	solve	VERB
cana-3103	70	3	this	this	PRON
cana-3103	70	4	,	,	PUNCT
cana-3103	70	5	edward	edward	NOUN
cana-3103	70	6	rosten	rosten	VERB
cana-3103	70	7	and	and	CCONJ
cana-3103	70	8	tom	tom	PROPN
cana-3103	70	9	drummond	drummond	PROPN
cana-3103	71	1	[	[	X
cana-3103	71	2	11	11	NUM
cana-3103	71	3	-	-	SYM
cana-3103	71	4	13	13	NUM
cana-3103	71	5	]	]	PUNCT
cana-3103	71	6	developed	develop	VERB
cana-3103	71	7	the	the	DET
cana-3103	71	8	fast	fast	ADJ
cana-3103	71	9	(	(	PUNCT
cana-3103	71	10	features	feature	NOUN
cana-3103	71	11	from	from	ADP
cana-3103	71	12	accelerated	accelerate	VERB
cana-3103	71	13	segment	segment	NOUN
cana-3103	71	14	test	test	NOUN
cana-3103	71	15	)	)	PUNCT
cana-3103	71	16	technique	technique	NOUN
cana-3103	71	17	,	,	PUNCT
cana-3103	71	18	which	which	PRON
cana-3103	71	19	may	may	AUX
cana-3103	71	20	be	be	AUX
cana-3103	71	21	summarized	summarize	VERB
cana-3103	71	22	as	as	SCONJ
cana-3103	71	23	follows	follow	NOUN
cana-3103	71	24	.	.	PUNCT
cana-3103	72	1	find	find	VERB
cana-3103	72	2	an	an	DET
cana-3103	72	3	area	area	NOUN
cana-3103	72	4	of	of	ADP
cana-3103	72	5	interest	interest	NOUN
cana-3103	72	6	in	in	ADP
cana-3103	72	7	a	a	DET
cana-3103	72	8	photograph	photograph	NOUN
cana-3103	72	9	,	,	PUNCT
cana-3103	72	10	then	then	ADV
cana-3103	72	11	consider	consider	VERB
cana-3103	72	12	around	around	ADP
cana-3103	72	13	it	it	PRON
cana-3103	72	14	with	with	ADP
cana-3103	72	15	sixteen	sixteen	NUM
cana-3103	72	16	pixels	pixel	NOUN
cana-3103	72	17	.	.	PUNCT
cana-3103	73	1	determine	determine	VERB
cana-3103	73	2	the	the	DET
cana-3103	73	3	number	number	NOUN
cana-3103	73	4	of	of	ADP
cana-3103	73	5	pixels	pixel	NOUN
cana-3103	73	6	next	next	ADV
cana-3103	73	7	to	to	ADP
cana-3103	73	8	the	the	DET
cana-3103	73	9	interest	interest	NOUN
cana-3103	73	10	point	point	NOUN
cana-3103	73	11	using	use	VERB
cana-3103	73	12	the	the	DET
cana-3103	73	13	threshold	threshold	NOUN
cana-3103	73	14	value	value	NOUN
cana-3103	73	15	t.	t.	NOUN
cana-3103	73	16	when	when	SCONJ
cana-3103	73	17	there	there	PRON
cana-3103	73	18	are	be	VERB
cana-3103	73	19	less	less	ADJ
cana-3103	73	20	than	than	ADP
cana-3103	73	21	twelve	twelve	NUM
cana-3103	73	22	consecutive	consecutive	ADJ
cana-3103	73	23	pixels	pixel	NOUN
cana-3103	73	24	,	,	PUNCT
cana-3103	73	25	this	this	DET
cana-3103	73	26	variation	variation	NOUN
cana-3103	73	27	performs	perform	VERB
cana-3103	73	28	badly	badly	ADV
cana-3103	73	29	.	.	PUNCT
cana-3103	74	1	the	the	DET
cana-3103	74	2	author	author	NOUN
cana-3103	74	3	proposed	propose	VERB
cana-3103	74	4	using	use	VERB
cana-3103	74	5	machine	machine	NOUN
cana-3103	74	6	learning	learn	VERB
cana-3103	74	7	to	to	PART
cana-3103	74	8	improve	improve	VERB
cana-3103	74	9	speed	speed	NOUN
cana-3103	74	10	and	and	CCONJ
cana-3103	74	11	efficiency	efficiency	NOUN
cana-3103	74	12	.	.	PUNCT
cana-3103	75	1	after	after	ADP
cana-3103	75	2	identifying	identify	VERB
cana-3103	75	3	the	the	DET
cana-3103	75	4	interest	interest	NOUN
cana-3103	75	5	sites	site	NOUN
cana-3103	75	6	,	,	PUNCT
cana-3103	75	7	non	non	ADJ
cana-3103	75	8	-	-	ADJ
cana-3103	75	9	maximal	maximal	ADJ
cana-3103	75	10	suppression	suppression	NOUN
cana-3103	75	11	can	can	AUX
cana-3103	75	12	be	be	AUX
cana-3103	75	13	utilized	utilize	VERB
cana-3103	75	14	to	to	PART
cana-3103	75	15	address	address	VERB
cana-3103	75	16	the	the	DET
cana-3103	75	17	identification	identification	NOUN
cana-3103	75	18	of	of	ADP
cana-3103	75	19	several	several	ADJ
cana-3103	75	20	interest	interest	NOUN
cana-3103	75	21	points	point	NOUN
cana-3103	75	22	adjacent	adjacent	ADJ
cana-3103	75	23	to	to	ADP
cana-3103	75	24	one	one	NUM
cana-3103	75	25	another	another	DET
cana-3103	75	26	.	.	PUNCT
cana-3103	76	1	canny	canny	ADJ
cana-3103	76	2	operator	operator	NOUN
cana-3103	76	3	the	the	DET
cana-3103	76	4	canny	canny	ADJ
cana-3103	76	5	approach	approach	NOUN
cana-3103	76	6	[	[	X
cana-3103	76	7	17	17	NUM
cana-3103	76	8	]	]	PUNCT
cana-3103	76	9	is	be	AUX
cana-3103	76	10	an	an	DET
cana-3103	76	11	important	important	ADJ
cana-3103	76	12	strategy	strategy	NOUN
cana-3103	76	13	for	for	ADP
cana-3103	76	14	recognizing	recognize	VERB
cana-3103	76	15	edges	edge	NOUN
cana-3103	76	16	since	since	SCONJ
cana-3103	76	17	it	it	PRON
cana-3103	76	18	removes	remove	VERB
cana-3103	76	19	noise	noise	NOUN
cana-3103	76	20	from	from	ADP
cana-3103	76	21	the	the	DET
cana-3103	76	22	image	image	NOUN
cana-3103	76	23	before	before	ADP
cana-3103	76	24	identifying	identify	VERB
cana-3103	76	25	the	the	DET
cana-3103	76	26	edges	edge	NOUN
cana-3103	76	27	while	while	SCONJ
cana-3103	76	28	maintaining	maintain	VERB
cana-3103	76	29	the	the	DET
cana-3103	76	30	edges	edge	NOUN
cana-3103	76	31	'	'	PART
cana-3103	76	32	properties	property	NOUN
cana-3103	76	33	.	.	PUNCT
cana-3103	77	1	the	the	DET
cana-3103	77	2	inclination	inclination	NOUN
cana-3103	77	3	to	to	ADP
cana-3103	77	4	communications	communication	NOUN
cana-3103	77	5	on	on	ADP
cana-3103	77	6	applied	apply	VERB
cana-3103	77	7	nonlinear	nonlinear	ADJ
cana-3103	77	8	analysis	analysis	NOUN
cana-3103	77	9	issn	issn	NOUN
cana-3103	77	10	:	:	PUNCT
cana-3103	77	11	1074	1074	NUM
cana-3103	77	12	-	-	PUNCT
cana-3103	77	13	133x	133x	NUM
cana-3103	77	14	vol	vol	NOUN
cana-3103	77	15	32	32	NUM
cana-3103	77	16	no	no	NOUN
cana-3103	77	17	.	.	PUNCT
cana-3103	78	1	5s	5s	NUM
cana-3103	78	2	(	(	PUNCT
cana-3103	78	3	2025	2025	NUM
cana-3103	78	4	)	)	PUNCT
cana-3103	78	5	328	328	NUM
cana-3103	78	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	78	7	find	find	VERB
cana-3103	78	8	edges	edge	NOUN
cana-3103	78	9	is	be	AUX
cana-3103	78	10	then	then	ADV
cana-3103	78	11	applied	apply	VERB
cana-3103	78	12	to	to	PART
cana-3103	78	13	establish	establish	VERB
cana-3103	78	14	the	the	DET
cana-3103	78	15	critical	critical	ADJ
cana-3103	78	16	value	value	NOUN
cana-3103	78	17	of	of	ADP
cana-3103	78	18	the	the	DET
cana-3103	78	19	threshold	threshold	NOUN
cana-3103	78	20	.	.	PUNCT
cana-3103	79	1	the	the	DET
cana-3103	79	2	intelligent	intelligent	ADJ
cana-3103	79	3	edge	edge	NOUN
cana-3103	79	4	detection	detection	NOUN
cana-3103	79	5	approach	approach	NOUN
cana-3103	79	6	uses	use	VERB
cana-3103	79	7	the	the	DET
cana-3103	79	8	following	follow	VERB
cana-3103	79	9	algorithmic	algorithmic	ADJ
cana-3103	79	10	stages	stage	NOUN
cana-3103	79	11	:	:	PUNCT
cana-3103	79	12	1	1	X
cana-3103	79	13	.	.	X
cana-3103	79	14	convolution	convolution	NOUN
cana-3103	79	15	using	use	VERB
cana-3103	79	16	a	a	DET
cana-3103	79	17	gaussian	gaussian	ADJ
cana-3103	79	18	function	function	NOUN
cana-3103	79	19	is	be	AUX
cana-3103	79	20	used	use	VERB
cana-3103	79	21	to	to	PART
cana-3103	79	22	generate	generate	VERB
cana-3103	79	23	a	a	DET
cana-3103	79	24	smooth	smooth	ADJ
cana-3103	79	25	image	image	NOUN
cana-3103	79	26	of	of	ADP
cana-3103	79	27	f	f	PROPN
cana-3103	79	28	(	(	PUNCT
cana-3103	79	29	r	r	NOUN
cana-3103	79	30	,	,	PUNCT
cana-3103	79	31	c	c	NOUN
cana-3103	79	32	)	)	PUNCT
cana-3103	79	33	,	,	PUNCT
cana-3103	79	34	f(r	f(r	NOUN
cana-3103	79	35	,	,	PUNCT
cana-3103	79	36	c).f(r	c).f(r	NOUN
cana-3103	79	37	,	,	PUNCT
cana-3103	79	38	c)=f(r	c)=f(r	PROPN
cana-3103	79	39	,	,	PUNCT
cana-3103	79	40	c)*g(r	c)*g(r	PROPN
cana-3103	79	41	,	,	PUNCT
cana-3103	79	42	c,6	c,6	PROPN
cana-3103	79	43	)	)	PUNCT
cana-3103	79	44	3	3	NUM
cana-3103	79	45	.	.	PUNCT
cana-3103	79	46	methods	method	NOUN
cana-3103	79	47	spider	spider	NOUN
cana-3103	79	48	network	network	NOUN
cana-3103	79	49	definition	definition	NOUN
cana-3103	79	50	3.1	3.1	NUM
cana-3103	79	51	a	a	DET
cana-3103	79	52	spider	spider	NOUN
cana-3103	79	53	graph	graph	NOUN
cana-3103	79	54	joined	join	VERB
cana-3103	79	55	another	another	DET
cana-3103	79	56	spider	spider	NOUN
cana-3103	79	57	graph	graph	NOUN
cana-3103	79	58	by	by	ADP
cana-3103	79	59	based	base	VERB
cana-3103	79	60	on	on	ADP
cana-3103	79	61	edge	edge	NOUN
cana-3103	79	62	between	between	ADP
cana-3103	79	63	them	they	PRON
cana-3103	79	64	is	be	AUX
cana-3103	79	65	called	call	VERB
cana-3103	79	66	a	a	DET
cana-3103	79	67	nth	nth	NOUN
cana-3103	79	68	joint	joint	ADJ
cana-3103	79	69	spider	spider	NOUN
cana-3103	79	70	graph	graph	NOUN
cana-3103	79	71	and	and	CCONJ
cana-3103	79	72	it	it	PRON
cana-3103	79	73	is	be	AUX
cana-3103	79	74	denoted	denote	VERB
cana-3103	79	75	by	by	ADP
cana-3103	79	76	sp(n2	sp(n2	NOUN
cana-3103	79	77	t	t	PROPN
cana-3103	79	78	,	,	PUNCT
cana-3103	79	79	2	2	NUM
cana-3103	79	80	t	t	NOUN
cana-3103	79	81	)	)	PUNCT
cana-3103	79	82	,	,	PUNCT
cana-3103	79	83	n=1,2	n=1,2	NOUN
cana-3103	79	84	,	,	PUNCT
cana-3103	79	85	…	…	PUNCT
cana-3103	79	86	..	..	PUNCT
cana-3103	79	87	and	and	CCONJ
cana-3103	79	88	t=1,2,	t=1,2,	ADP
cana-3103	79	89	…	…	SYM
cana-3103	79	90	n.	n.	NOUN
cana-3103	79	91	example	example	NOUN
cana-3103	79	92	3.2	3.2	NUM
cana-3103	79	93	the	the	DET
cana-3103	79	94	following	follow	VERB
cana-3103	79	95	is	be	AUX
cana-3103	79	96	an	an	DET
cana-3103	79	97	example	example	NOUN
cana-3103	79	98	of	of	ADP
cana-3103	79	99	the	the	DET
cana-3103	79	100	labeling	labeling	NOUN
cana-3103	79	101	process	process	NOUN
cana-3103	79	102	used	use	VERB
cana-3103	79	103	above	above	ADV
cana-3103	79	104	to	to	PART
cana-3103	79	105	confirm	confirm	VERB
cana-3103	79	106	that	that	SCONJ
cana-3103	79	107	the	the	DET
cana-3103	79	108	spider	spider	NOUN
cana-3103	79	109	graph	graph	NOUN
cana-3103	79	110	sp(14,22	sp(14,22	NOUN
cana-3103	79	111	)	)	PUNCT
cana-3103	79	112	is	be	AUX
cana-3103	79	113	an	an	DET
cana-3103	79	114	integer	integer	NOUN
cana-3103	79	115	.	.	PUNCT
cana-3103	80	1	fig	fig	NOUN
cana-3103	80	2	.	.	PUNCT
cana-3103	81	1	1	1	NUM
cana-3103	81	2	:	:	PUNCT
cana-3103	81	3	spider	spider	NOUN
cana-3103	81	4	graph	graph	NOUN
cana-3103	81	5	sp(14,22	sp(14,22	NOUN
cana-3103	81	6	)	)	PUNCT
cana-3103	82	1	integer	integer	NOUN
cana-3103	82	2	i	i	PRON
cana-3103	82	3	cordial	cordial	ADJ
cana-3103	82	4	labeling	labeling	NOUN
cana-3103	82	5	of	of	ADP
cana-3103	82	6	graph	graph	NOUN
cana-3103	82	7	spider	spider	NOUN
cana-3103	82	8	networks	network	NOUN
cana-3103	82	9	are	be	AUX
cana-3103	82	10	connecting	connect	VERB
cana-3103	82	11	networks	network	NOUN
cana-3103	82	12	used	use	VERB
cana-3103	82	13	in	in	ADP
cana-3103	82	14	communication	communication	NOUN
cana-3103	82	15	networks	network	NOUN
cana-3103	82	16	.	.	PUNCT
cana-3103	83	1	they	they	PRON
cana-3103	83	2	are	be	AUX
cana-3103	83	3	referred	refer	VERB
cana-3103	83	4	to	to	ADP
cana-3103	83	5	as	as	ADP
cana-3103	83	6	the	the	DET
cana-3103	83	7	underlying	underlie	VERB
cana-3103	83	8	graphs	graph	NOUN
cana-3103	83	9	of	of	ADP
cana-3103	83	10	networks	network	NOUN
cana-3103	83	11	that	that	PRON
cana-3103	83	12	efficiently	efficiently	ADV
cana-3103	83	13	conduct	conduct	VERB
cana-3103	83	14	the	the	DET
cana-3103	83	15	fast	fast	ADJ
cana-3103	83	16	fourier	fourier	NOUN
cana-3103	83	17	transform	transform	NOUN
cana-3103	83	18	.	.	PUNCT
cana-3103	84	1	definition	definition	NOUN
cana-3103	84	2	3.3	3.3	NUM
cana-3103	84	3	the	the	DET
cana-3103	84	4	spider	spider	NOUN
cana-3103	84	5	network	network	NOUN
cana-3103	84	6	uses	use	VERB
cana-3103	84	7	a	a	DET
cana-3103	84	8	sequence	sequence	NOUN
cana-3103	84	9	of	of	ADP
cana-3103	84	10	switches	switch	NOUN
cana-3103	84	11	and	and	CCONJ
cana-3103	84	12	connection	connection	NOUN
cana-3103	84	13	patterns	pattern	NOUN
cana-3103	84	14	to	to	PART
cana-3103	84	15	connect	connect	VERB
cana-3103	84	16	n	n	PRON
cana-3103	84	17	inputs	input	NOUN
cana-3103	84	18	and	and	CCONJ
cana-3103	84	19	n	n	PRON
cana-3103	84	20	outputs	output	NOUN
cana-3103	84	21	.	.	PUNCT
cana-3103	85	1	an	an	DET
cana-3103	85	2	n	n	ADV
cana-3103	85	3	-	-	PUNCT
cana-3103	85	4	dimensional	dimensional	ADJ
cana-3103	85	5	spider	spider	NOUN
cana-3103	85	6	is	be	AUX
cana-3103	85	7	made	make	VERB
cana-3103	85	8	up	up	ADP
cana-3103	85	9	of	of	ADP
cana-3103	85	10	vertex	vertex	NOUN
cana-3103	85	11	sets	set	NOUN
cana-3103	85	12	,	,	PUNCT
cana-3103	85	13	𝑉	𝑉	PROPN
cana-3103	85	14	=	=	SYM
cana-3103	85	15	{	{	PUNCT
cana-3103	85	16	(	(	PUNCT
cana-3103	85	17	𝑢	𝑢	X
cana-3103	85	18	,	,	PUNCT
cana-3103	85	19	𝑖	𝑖	NUM
cana-3103	85	20	):	):	PUNCT
cana-3103	85	21	𝑢	𝑢	PROPN
cana-3103	85	22	∈	∈	PROPN
cana-3103	85	23	𝑉(𝑄∗	𝑉(𝑄∗	NOUN
cana-3103	85	24	𝑛	𝑛	PROPN
cana-3103	85	25	)	)	PUNCT
cana-3103	85	26	,	,	PUNCT
cana-3103	85	27	0	0	NUM
cana-3103	85	28	≤	≤	NUM
cana-3103	85	29	𝑖	𝑖	SYM
cana-3103	85	30	≤	≤	NUM
cana-3103	85	31	𝑛	𝑛	NOUN
cana-3103	85	32	}	}	PUNCT
cana-3103	85	33	such	such	ADJ
cana-3103	85	34	that	that	SCONJ
cana-3103	85	35	if	if	SCONJ
cana-3103	85	36	and	and	CCONJ
cana-3103	85	37	only	only	ADV
cana-3103	85	38	if	if	SCONJ
cana-3103	85	39	l	l	NOUN
cana-3103	85	40	=	=	PUNCT
cana-3103	86	1	i	i	PRON
cana-3103	86	2	+	+	CCONJ
cana-3103	86	3	1	1	NUM
cana-3103	86	4	and	and	CCONJ
cana-3103	86	5	either	either	PRON
cana-3103	86	6	u	u	NOUN
cana-3103	86	7	=	=	NOUN
cana-3103	86	8	v	v	NOUN
cana-3103	86	9	or	or	CCONJ
cana-3103	86	10	u	u	NOUN
cana-3103	86	11	varies	vary	VERB
cana-3103	86	12	from	from	ADP
cana-3103	86	13	v	v	NOUN
cana-3103	86	14	in	in	ADP
cana-3103	86	15	the	the	DET
cana-3103	86	16	lth	lth	NOUN
cana-3103	86	17	bit	bit	NOUN
cana-3103	86	18	,	,	PUNCT
cana-3103	86	19	then	then	ADV
cana-3103	86	20	an	an	DET
cana-3103	86	21	edge	edge	NOUN
cana-3103	86	22	connects	connect	VERB
cana-3103	86	23	two	two	NUM
cana-3103	86	24	vertices	vertex	NOUN
cana-3103	86	25	(	(	PUNCT
cana-3103	86	26	u	u	NOUN
cana-3103	86	27	,	,	PUNCT
cana-3103	86	28	i	i	PROPN
cana-3103	86	29	)	)	PUNCT
cana-3103	86	30	and	and	CCONJ
cana-3103	86	31	(	(	PUNCT
cana-3103	86	32	v	v	NOUN
cana-3103	86	33	,	,	PUNCT
cana-3103	86	34	l	l	NOUN
cana-3103	86	35	)	)	PUNCT
cana-3103	86	36	.	.	PUNCT
cana-3103	86	37	bf(n	bf(n	PUNCT
cana-3103	86	38	)	)	PUNCT
cana-3103	86	39	contains	contain	VERB
cana-3103	86	40	n2n+1	n2n+1	NOUN
cana-3103	86	41	edges	edge	NOUN
cana-3103	86	42	with	with	ADP
cana-3103	86	43	n	n	NOUN
cana-3103	86	44	levels	level	NOUN
cana-3103	86	45	and	and	CCONJ
cana-3103	86	46	(	(	PUNCT
cana-3103	86	47	n	n	CCONJ
cana-3103	86	48	+	+	CCONJ
cana-3103	86	49	1)2n	1)2n	NUM
cana-3103	86	50	vertices	vertex	NOUN
cana-3103	86	51	.	.	PUNCT
cana-3103	87	1	it	it	PRON
cana-3103	87	2	is	be	AUX
cana-3103	87	3	not	not	PART
cana-3103	87	4	eulerian	eulerian	ADJ
cana-3103	87	5	because	because	SCONJ
cana-3103	87	6	no	no	DET
cana-3103	87	7	odd	odd	ADJ
cana-3103	87	8	-	-	PUNCT
cana-3103	87	9	degree	degree	NOUN
cana-3103	87	10	vertices	vertex	NOUN
cana-3103	87	11	exist	exist	VERB
cana-3103	87	12	.	.	PUNCT
cana-3103	88	1	remarks	remark	VERB
cana-3103	88	2	:	:	PUNCT
cana-3103	88	3	3.4	3.4	NUM
cana-3103	88	4	(	(	PUNCT
cana-3103	88	5	i	i	NOUN
cana-3103	88	6	)	)	PUNCT
cana-3103	88	7	.	.	PUNCT
cana-3103	89	1	the	the	DET
cana-3103	89	2	spider	spider	NOUN
cana-3103	89	3	network	network	NOUN
cana-3103	89	4	with	with	ADP
cana-3103	89	5	one	one	NUM
cana-3103	89	6	edge	edge	NOUN
cana-3103	89	7	along	along	ADP
cana-3103	89	8	the	the	DET
cana-3103	89	9	antipodal	antipodal	PROPN
cana-3103	89	10	vertices	vertex	NOUN
cana-3103	89	11	in	in	ADP
cana-3103	89	12	each	each	DET
cana-3103	89	13	cycle	cycle	NOUN
cana-3103	89	14	of	of	ADP
cana-3103	89	15	bf(n	bf(n	PROPN
cana-3103	89	16	)	)	PUNCT
cana-3103	89	17	is	be	AUX
cana-3103	89	18	called	call	VERB
cana-3103	89	19	the	the	DET
cana-3103	89	20	augmented	augment	VERB
cana-3103	89	21	spider	spider	NOUN
cana-3103	89	22	network	network	NOUN
cana-3103	89	23	of	of	ADP
cana-3103	89	24	dimension	dimension	NOUN
cana-3103	89	25	n	n	CCONJ
cana-3103	89	26	,	,	PUNCT
cana-3103	89	27	or	or	CCONJ
cana-3103	89	28	abf(n	abf(n	PROPN
cana-3103	89	29	)	)	PUNCT
cana-3103	89	30	.	.	PUNCT
cana-3103	90	1	the	the	DET
cana-3103	90	2	bulk	bulk	NOUN
cana-3103	90	3	of	of	ADP
cana-3103	90	4	bf(n	bf(n	NOUN
cana-3103	90	5	)	)	PUNCT
cana-3103	90	6	's	's	PART
cana-3103	90	7	properties	property	NOUN
cana-3103	90	8	remain	remain	VERB
cana-3103	90	9	in	in	ADP
cana-3103	90	10	the	the	DET
cana-3103	90	11	upgraded	upgrade	VERB
cana-3103	90	12	spider	spider	NOUN
cana-3103	90	13	network	network	NOUN
cana-3103	90	14	.	.	PUNCT
cana-3103	91	1	by	by	ADP
cana-3103	91	2	finding	find	VERB
cana-3103	91	3	their	their	PRON
cana-3103	91	4	topological	topological	ADJ
cana-3103	91	5	indices	index	NOUN
cana-3103	91	6	,	,	PUNCT
cana-3103	91	7	we	we	PRON
cana-3103	91	8	may	may	AUX
cana-3103	91	9	investigate	investigate	VERB
cana-3103	91	10	some	some	PRON
cana-3103	91	11	of	of	ADP
cana-3103	91	12	the	the	DET
cana-3103	91	13	properties	property	NOUN
cana-3103	91	14	of	of	ADP
cana-3103	91	15	augmented	augment	VERB
cana-3103	91	16	spiders	spider	NOUN
cana-3103	91	17	.	.	PUNCT
cana-3103	92	1	(	(	PUNCT
cana-3103	92	2	ii	ii	NOUN
cana-3103	92	3	)	)	PUNCT
cana-3103	92	4	.	.	PUNCT
cana-3103	93	1	this	this	DET
cana-3103	93	2	post	post	NOUN
cana-3103	93	3	discusses	discuss	VERB
cana-3103	93	4	a	a	DET
cana-3103	93	5	simple	simple	ADJ
cana-3103	93	6	yet	yet	CCONJ
cana-3103	93	7	useful	useful	ADJ
cana-3103	93	8	graph	graph	NOUN
cana-3103	93	9	.	.	PUNCT
cana-3103	94	1	the	the	DET
cana-3103	94	2	shortest	short	ADJ
cana-3103	94	3	path	path	NOUN
cana-3103	94	4	length	length	NOUN
cana-3103	94	5	between	between	ADP
cana-3103	94	6	two	two	NUM
cana-3103	94	7	verticesµ	verticesµ	NOUN
cana-3103	94	8	and	and	CCONJ
cana-3103	94	9	ν	ν	NOUN
cana-3103	94	10	is	be	AUX
cana-3103	94	11	µ*,v	µ*,v	ADJ
cana-3103	94	12	*	*	PUNCT
cana-3103	94	13	∈	∈	NOUN
cana-3103	94	14	v*(g	v*(g	NOUN
cana-3103	94	15	)	)	PUNCT
cana-3103	94	16	,	,	PUNCT
cana-3103	94	17	is	be	AUX
cana-3103	94	18	indicated	indicate	VERB
cana-3103	94	19	as	as	ADP
cana-3103	94	20	d(v*,µ	d(v*,µ	NOUN
cana-3103	94	21	*	*	NOUN
cana-3103	94	22	)	)	PUNCT
cana-3103	94	23	,	,	PUNCT
cana-3103	94	24	which	which	PRON
cana-3103	94	25	may	may	AUX
cana-3103	94	26	be	be	AUX
cana-3103	94	27	calculated	calculate	VERB
cana-3103	94	28	using	use	VERB
cana-3103	94	29	by	by	ADP
cana-3103	94	30	,	,	PUNCT
cana-3103	94	31	communications	communication	NOUN
cana-3103	94	32	on	on	ADP
cana-3103	94	33	applied	apply	VERB
cana-3103	94	34	nonlinear	nonlinear	ADJ
cana-3103	94	35	analysis	analysis	NOUN
cana-3103	94	36	issn	issn	NOUN
cana-3103	94	37	:	:	PUNCT
cana-3103	94	38	1074	1074	NUM
cana-3103	94	39	-	-	PUNCT
cana-3103	94	40	133x	133x	NUM
cana-3103	94	41	vol	vol	NOUN
cana-3103	94	42	32	32	NUM
cana-3103	94	43	no	no	NOUN
cana-3103	94	44	.	.	PUNCT
cana-3103	95	1	5s	5s	NUM
cana-3103	95	2	(	(	PUNCT
cana-3103	95	3	2025	2025	NUM
cana-3103	95	4	)	)	PUNCT
cana-3103	96	1	329	329	NUM
cana-3103	96	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	96	3	𝑁𝑣∗(𝑒	𝑁𝑣∗(𝑒	NUM
cana-3103	96	4	∖	∖	X
cana-3103	96	5	𝐺	𝐺	NOUN
cana-3103	96	6	)	)	PUNCT
cana-3103	96	7	=	=	PRON
cana-3103	96	8	{	{	PUNCT
cana-3103	96	9	𝑣	𝑣	PART
cana-3103	96	10	∗∈	∗∈	PROPN
cana-3103	96	11	𝑉	𝑉	PROPN
cana-3103	96	12	∗	∗	NOUN
cana-3103	96	13	(	(	PUNCT
cana-3103	96	14	𝐺	𝐺	NOUN
cana-3103	96	15	):	):	PUNCT
cana-3103	96	16	𝑑(𝑣	𝑑(𝑣	NOUN
cana-3103	96	17	∗	∗	NOUN
cana-3103	96	18	,	,	PUNCT
cana-3103	96	19	𝑢	𝑢	PRON
cana-3103	96	20	∗	∗	NOUN
cana-3103	96	21	)	)	PUNCT
cana-3103	96	22	<	<	X
cana-3103	96	23	𝑑(𝜇	𝑑(𝜇	NOUN
cana-3103	96	24	,	,	PUNCT
cana-3103	96	25	𝑣	𝑣	ADP
cana-3103	96	26	∗	∗	NOUN
cana-3103	96	27	)	)	PUNCT
cana-3103	96	28	}	}	PUNCT
cana-3103	96	29	𝑀𝑣∗(𝑒	𝑀𝑣∗(𝑒	NUM
cana-3103	96	30	∖	∖	X
cana-3103	96	31	𝐺	𝐺	PROPN
cana-3103	96	32	)	)	PUNCT
cana-3103	96	33	=	=	PRON
cana-3103	96	34	{	{	PUNCT
cana-3103	96	35	𝑓	𝑓	PROPN
cana-3103	96	36	∈	∈	PROPN
cana-3103	96	37	𝐸(𝐺	𝐸(𝐺	NOUN
cana-3103	96	38	):	):	PUNCT
cana-3103	96	39	𝑑(𝑣	𝑑(𝑣	NOUN
cana-3103	96	40	∗	∗	NOUN
cana-3103	96	41	,	,	PUNCT
cana-3103	96	42	𝑓	𝑓	X
cana-3103	96	43	)	)	PUNCT
cana-3103	96	44	<	<	X
cana-3103	96	45	𝑑(𝜇	𝑑(𝜇	PROPN
cana-3103	96	46	,	,	PUNCT
cana-3103	96	47	𝑓	𝑓	X
cana-3103	96	48	)	)	PUNCT
cana-3103	96	49	}	}	PUNCT
cana-3103	96	50	where	where	SCONJ
cana-3103	96	51	𝑒	𝑒	PROPN
cana-3103	96	52	=	=	SYM
cana-3103	96	53	𝜇(𝑣	𝜇(𝑣	PROPN
cana-3103	96	54	∗	∗	NOUN
cana-3103	96	55	)	)	PUNCT
cana-3103	96	56	and	and	CCONJ
cana-3103	96	57	the	the	DET
cana-3103	96	58	symbol	symbol	NOUN
cana-3103	96	59	for	for	ADP
cana-3103	96	60	their	their	PRON
cana-3103	96	61	cardinality	cardinality	NOUN
cana-3103	96	62	is𝑛𝑣∗(𝑒	is𝑛𝑣∗(𝑒	NUM
cana-3103	96	63	)	)	PUNCT
cana-3103	96	64	and	and	CCONJ
cana-3103	96	65	𝑚𝑣∗(𝑒	𝑚𝑣∗(𝑒	NOUN
cana-3103	96	66	)	)	PUNCT
cana-3103	96	67	.	.	PUNCT
cana-3103	97	1	the	the	DET
cana-3103	97	2	concept	concept	NOUN
cana-3103	97	3	of	of	ADP
cana-3103	97	4	weighted	weight	VERB
cana-3103	97	5	graph,𝒢𝓈𝓂	graph,𝒢𝓈𝓂	NOUN
cana-3103	97	6	=	=	SYM
cana-3103	97	7	(	(	PUNCT
cana-3103	97	8	𝒢	𝒢	PROPN
cana-3103	97	9	,	,	PUNCT
cana-3103	97	10	(	(	PUNCT
cana-3103	97	11	𝓂𝓋∗	𝓂𝓋∗	INTJ
cana-3103	97	12	,	,	PUNCT
cana-3103	97	13	𝓈𝑣∗	𝓈𝑣∗	ADJ
cana-3103	97	14	)	)	PUNCT
cana-3103	97	15	,	,	PUNCT
cana-3103	97	16	𝓈𝑒	𝓈𝑒	NOUN
cana-3103	97	17	)	)	PUNCT
cana-3103	97	18	where	where	SCONJ
cana-3103	97	19	𝓂𝓋∗	𝓂𝓋∗	PROPN
cana-3103	97	20	vertex	vertex	NOUN
cana-3103	97	21	weight	weight	NOUN
cana-3103	97	22	,	,	PUNCT
cana-3103	97	23	𝓈𝑣∗	𝓈𝑣∗	PUNCT
cana-3103	97	24	is	be	AUX
cana-3103	97	25	strength	strength	NOUN
cana-3103	97	26	weight	weight	NOUN
cana-3103	97	27	and	and	CCONJ
cana-3103	97	28	𝓈𝑒	𝓈𝑒	NOUN
cana-3103	97	29	is	be	AUX
cana-3103	97	30	edge	edge	NOUN
cana-3103	97	31	strength	strength	NOUN
cana-3103	97	32	.	.	PUNCT
cana-3103	98	1	definition	definition	NOUN
cana-3103	98	2	3.5	3.5	NUM
cana-3103	98	3	let	let	VERB
cana-3103	98	4	,	,	PUNCT
cana-3103	98	5	𝓋∗𝜇	𝓋∗𝜇	NUM
cana-3103	98	6	∈	∈	PROPN
cana-3103	98	7	𝐸𝒢𝓈𝓂	𝐸𝒢𝓈𝓂	PROPN
cana-3103	98	8	is	be	AUX
cana-3103	98	9	defined	define	VERB
cana-3103	98	10	by	by	ADP
cana-3103	98	11	,	,	PUNCT
cana-3103	98	12	𝑛𝓋∗(𝑒	𝑛𝓋∗(𝑒	ADJ
cana-3103	98	13	∖	∖	PROPN
cana-3103	98	14	𝒢𝓈𝓂	𝒢𝓈𝓂	PROPN
cana-3103	98	15	)	)	PUNCT
cana-3103	98	16	=	=	SYM
cana-3103	98	17	∑	∑	PUNCT
cana-3103	98	18	𝓂𝓋∗(𝓅	𝓂𝓋∗(𝓅	PROPN
cana-3103	98	19	)	)	PUNCT
cana-3103	98	20	𝓅∈𝓃𝓋∗(ℯ∖𝒢𝓈𝓂	𝓅∈𝓃𝓋∗(ℯ∖𝒢𝓈𝓂	NOUN
cana-3103	98	21	)	)	PUNCT
cana-3103	98	22	𝓂𝓋∗(𝑒	𝓂𝓋∗(𝑒	X
cana-3103	98	23	∖	∖	PROPN
cana-3103	98	24	𝒢𝓈𝓂	𝒢𝓈𝓂	PROPN
cana-3103	98	25	)	)	PUNCT
cana-3103	98	26	=	=	SYM
cana-3103	98	27	∑	∑	PUNCT
cana-3103	98	28	𝓂𝓋∗(𝓅	𝓂𝓋∗(𝓅	PROPN
cana-3103	98	29	)	)	PUNCT
cana-3103	98	30	𝓅∈𝓃𝓋∗(ℯ∖𝒢𝓈𝓂	𝓅∈𝓃𝓋∗(ℯ∖𝒢𝓈𝓂	NOUN
cana-3103	98	31	)	)	PUNCT
cana-3103	98	32	+	+	CCONJ
cana-3103	98	33	∑	∑	ADP
cana-3103	98	34	𝓈𝑒(𝒻	𝓈𝑒(𝒻	ADJ
cana-3103	98	35	)	)	PUNCT
cana-3103	98	36	𝒻∈𝓂𝓋∗(𝑒∖𝒢𝓈𝓂	𝒻∈𝓂𝓋∗(𝑒∖𝒢𝓈𝓂	NOUN
cana-3103	98	37	)	)	PUNCT
cana-3103	98	38	let	let	AUX
cana-3103	98	39	consider	consider	VERB
cana-3103	98	40	x	x	PRON
cana-3103	98	41	as	as	ADP
cana-3103	98	42	the	the	DET
cana-3103	98	43	topological	topological	PROPN
cana-3103	98	44	balaban	balaban	PROPN
cana-3103	98	45	index	index	NOUN
cana-3103	98	46	,	,	PUNCT
cana-3103	98	47	with	with	ADP
cana-3103	98	48	𝓈𝓋∗	𝓈𝓋∗	NOUN
cana-3103	98	49	=	=	SYM
cana-3103	98	50	0	0	NUM
cana-3103	98	51	and	and	CCONJ
cana-3103	98	52	𝓌𝓋∗	𝓌𝓋∗	NOUN
cana-3103	98	53	=	=	SYM
cana-3103	98	54	𝓈𝑒	𝓈𝑒	NOUN
cana-3103	98	55	=	=	NOUN
cana-3103	98	56	1	1	X
cana-3103	98	57	.	.	NUM
cana-3103	98	58	strengthweighted	strengthweighte	VERB
cana-3103	98	59	graphs	graph	NOUN
cana-3103	98	60	form	form	VERB
cana-3103	98	61	the	the	DET
cana-3103	98	62	foundation	foundation	NOUN
cana-3103	98	63	for	for	ADP
cana-3103	98	64	distance	distance	NOUN
cana-3103	98	65	-	-	PUNCT
cana-3103	98	66	based	base	VERB
cana-3103	98	67	topological	topological	ADJ
cana-3103	98	68	indices	index	NOUN
cana-3103	98	69	.	.	PUNCT
cana-3103	99	1	the	the	DET
cana-3103	99	2	cut	cut	NOUN
cana-3103	99	3	approach	approach	NOUN
cana-3103	99	4	is	be	AUX
cana-3103	99	5	a	a	DET
cana-3103	99	6	highly	highly	ADV
cana-3103	99	7	useful	useful	ADJ
cana-3103	99	8	tool	tool	NOUN
cana-3103	99	9	for	for	ADP
cana-3103	99	10	comparing	compare	VERB
cana-3103	99	11	various	various	ADJ
cana-3103	99	12	distance	distance	NOUN
cana-3103	99	13	-	-	PUNCT
cana-3103	99	14	based	base	VERB
cana-3103	99	15	topological	topological	ADJ
cana-3103	99	16	balaban	balaban	NOUN
cana-3103	99	17	indices	index	NOUN
cana-3103	99	18	.	.	PUNCT
cana-3103	100	1	the	the	DET
cana-3103	100	2	notion	notion	NOUN
cana-3103	100	3	of	of	ADP
cana-3103	100	4	the	the	DET
cana-3103	100	5	cut	cut	NOUN
cana-3103	100	6	method	method	NOUN
cana-3103	100	7	is	be	AUX
cana-3103	100	8	given	give	VERB
cana-3103	100	9	and	and	CCONJ
cana-3103	100	10	discussed.if	discussed.if	NUM
cana-3103	100	11	xi	xi	X
cana-3103	100	12	is	be	AUX
cana-3103	100	13	the	the	DET
cana-3103	100	14	union	union	NOUN
cana-3103	100	15	of	of	ADP
cana-3103	100	16	one	one	NUM
cana-3103	100	17	or	or	CCONJ
cana-3103	100	18	more	more	ADJ
cana-3103	100	19	sets	set	NOUN
cana-3103	100	20	in	in	ADP
cana-3103	100	21	y	y	PROPN
cana-3103	100	22	,	,	PUNCT
cana-3103	100	23	then	then	ADV
cana-3103	100	24	the	the	DET
cana-3103	100	25	partition	partition	NOUN
cana-3103	100	26	x={x1,x2,	x={x1,x2,	PROPN
cana-3103	100	27	...	...	PUNCT
cana-3103	100	28	,xr	,xr	PUNCT
cana-3103	100	29	}	}	PUNCT
cana-3103	100	30	of	of	ADP
cana-3103	100	31	e(g	e(g	PROPN
cana-3103	100	32	)	)	PUNCT
cana-3103	100	33	is	be	AUX
cana-3103	100	34	coarser	coarse	ADJ
cana-3103	100	35	than	than	ADP
cana-3103	100	36	y={y1,y2,	y={y1,y2,	PROPN
cana-3103	100	37	...	...	PUNCT
cana-3103	100	38	,ys	,ys	PUNCT
cana-3103	100	39	}	}	PUNCT
cana-3103	100	40	.	.	PUNCT
cana-3103	101	1	the	the	DET
cana-3103	101	2	quotient	quotient	NOUN
cana-3103	101	3	graphs	graph	NOUN
cana-3103	101	4	of	of	ADP
cana-3103	101	5	g	g	NOUN
cana-3103	101	6	are	be	AUX
cana-3103	101	7	accessible	accessible	ADJ
cana-3103	101	8	for	for	ADP
cana-3103	101	9	the	the	DET
cana-3103	101	10	wiener	wiener	NOUN
cana-3103	101	11	,	,	PUNCT
cana-3103	101	12	szeged	szeged	PROPN
cana-3103	101	13	,	,	PUNCT
cana-3103	101	14	edge	edge	NOUN
cana-3103	101	15	,	,	PUNCT
cana-3103	101	16	edge	edge	NOUN
cana-3103	101	17	-	-	PUNCT
cana-3103	101	18	vertex	vertex	NOUN
cana-3103	101	19	,	,	PUNCT
cana-3103	101	20	and	and	CCONJ
cana-3103	101	21	padmakar	padmakar	PROPN
cana-3103	101	22	ivan	ivan	NOUN
cana-3103	101	23	indexes	index	NOUN
cana-3103	101	24	.	.	PUNCT
cana-3103	102	1	4.results	4.results	NUM
cana-3103	102	2	distance	distance	NOUN
cana-3103	102	3	based	base	VERB
cana-3103	102	4	topological	topological	ADJ
cana-3103	102	5	indices	index	NOUN
cana-3103	102	6	of	of	ADP
cana-3103	102	7	certain	certain	ADJ
cana-3103	102	8	spider	spider	NOUN
cana-3103	102	9	network	network	NOUN
cana-3103	102	10	definition	definition	NOUN
cana-3103	102	11	4.1	4.1	NUM
cana-3103	102	12	assume	assume	VERB
cana-3103	102	13	two	two	NUM
cana-3103	102	14	graphs	graph	NOUN
cana-3103	102	15	,	,	PUNCT
cana-3103	102	16	g1	g1	PROPN
cana-3103	102	17	and	and	CCONJ
cana-3103	102	18	g2	g2	PROPN
cana-3103	102	19	,	,	PUNCT
cana-3103	102	20	each	each	PRON
cana-3103	102	21	with	with	ADP
cana-3103	102	22	two	two	NUM
cana-3103	102	23	vertices	vertex	NOUN
cana-3103	102	24	(	(	PUNCT
cana-3103	102	25	n1,n2	n1,n2	PROPN
cana-3103	102	26	≥	≥	NUM
cana-3103	102	27	2	2	NUM
cana-3103	102	28	)	)	PUNCT
cana-3103	102	29	.	.	PUNCT
cana-3103	103	1	the	the	DET
cana-3103	103	2	g	g	PROPN
cana-3103	103	3	*	*	PROPN
cana-3103	103	4	is	be	AUX
cana-3103	103	5	the	the	DET
cana-3103	103	6	edge	edge	NOUN
cana-3103	103	7	transformation	transformation	NOUN
cana-3103	103	8	of	of	ADP
cana-3103	103	9	g	g	NOUN
cana-3103	103	10	,	,	PUNCT
cana-3103	103	11	and	and	CCONJ
cana-3103	103	12	j(g	j(g	PROPN
cana-3103	103	13	)	)	PUNCT
cana-3103	103	14	<	<	X
cana-3103	103	15	j(g	j(g	NOUN
cana-3103	103	16	*	*	PUNCT
cana-3103	103	17	)	)	PUNCT
cana-3103	103	18	if	if	SCONJ
cana-3103	103	19	g	g	PROPN
cana-3103	103	20	is	be	AUX
cana-3103	103	21	the	the	DET
cana-3103	103	22	graph	graph	NOUN
cana-3103	103	23	created	create	VERB
cana-3103	103	24	by	by	ADP
cana-3103	103	25	adding	add	VERB
cana-3103	103	26	an	an	DET
cana-3103	103	27	edge	edge	NOUN
cana-3103	103	28	between	between	ADP
cana-3103	103	29	a	a	DET
cana-3103	103	30	vertex	vertex	NOUN
cana-3103	103	31	u∗	u∗	NOUN
cana-3103	103	32	of	of	ADP
cana-3103	103	33	g1	g1	NOUN
cana-3103	103	34	and	and	CCONJ
cana-3103	103	35	a	a	DET
cana-3103	103	36	vertex	vertex	NOUN
cana-3103	103	37	v∗	v∗	NOUN
cana-3103	103	38	of	of	ADP
cana-3103	103	39	g2	g2	PROPN
cana-3103	103	40	.	.	PUNCT
cana-3103	104	1	the	the	DET
cana-3103	104	2	g	g	PROPN
cana-3103	104	3	is	be	AUX
cana-3103	104	4	the	the	DET
cana-3103	104	5	graph	graph	NOUN
cana-3103	104	6	formed	form	VERB
cana-3103	104	7	by	by	ADP
cana-3103	104	8	connecting	connect	VERB
cana-3103	104	9	u∗	u∗	NOUN
cana-3103	104	10	of	of	ADP
cana-3103	104	11	g1	g1	NOUN
cana-3103	104	12	and	and	CCONJ
cana-3103	104	13	v∗	v∗	NOUN
cana-3103	104	14	of	of	ADP
cana-3103	104	15	g2	g2	PROPN
cana-3103	104	16	and	and	CCONJ
cana-3103	104	17	adding	add	VERB
cana-3103	104	18	an	an	DET
cana-3103	104	19	edge	edge	NOUN
cana-3103	104	20	to	to	ADP
cana-3103	104	21	u∗(v∗	u∗(v∗	NOUN
cana-3103	104	22	)	)	PUNCT
cana-3103	104	23	.	.	PUNCT
cana-3103	105	1	theorem	theorem	VERB
cana-3103	105	2	4.2	4.2	NUM
cana-3103	105	3	let	let	VERB
cana-3103	105	4	p	p	NOUN
cana-3103	105	5	=	=	NOUN
cana-3103	105	6	v1,v2,	v1,v2,	NOUN
cana-3103	105	7	...	...	PUNCT
cana-3103	105	8	vr	vr	PROPN
cana-3103	105	9	be	be	AUX
cana-3103	105	10	a	a	DET
cana-3103	105	11	route	route	NOUN
cana-3103	105	12	of	of	ADP
cana-3103	105	13	length	length	NOUN
cana-3103	105	14	r	r	NOUN
cana-3103	105	15	−1	−1	NOUN
cana-3103	105	16	>	>	PUNCT
cana-3103	105	17	=	=	PROPN
cana-3103	105	18	2	2	NUM
cana-3103	105	19	,	,	PUNCT
cana-3103	105	20	and	and	CCONJ
cana-3103	105	21	g	g	PROPN
cana-3103	105	22	be	be	AUX
cana-3103	105	23	a	a	DET
cana-3103	105	24	graph	graph	NOUN
cana-3103	105	25	with	with	ADP
cana-3103	105	26	n	n	PRON
cana-3103	105	27	≥	≥	NUM
cana-3103	105	28	2	2	NUM
cana-3103	105	29	vertices	vertex	NOUN
cana-3103	105	30	.	.	PUNCT
cana-3103	106	1	the	the	DET
cana-3103	106	2	g	g	PROPN
cana-3103	106	3	*	*	PROPN
cana-3103	106	4	is	be	AUX
cana-3103	106	5	edge	edge	NOUN
cana-3103	106	6	transformation	transformation	NOUN
cana-3103	106	7	of	of	ADP
cana-3103	106	8	g	g	PROPN
cana-3103	106	9	,	,	PUNCT
cana-3103	106	10	and	and	CCONJ
cana-3103	106	11	we	we	PRON
cana-3103	106	12	have	have	VERB
cana-3103	106	13	j(g	j(g	NOUN
cana-3103	106	14	)	)	PUNCT
cana-3103	106	15	<	<	X
cana-3103	106	16	j(g	j(g	NOUN
cana-3103	106	17	*	*	PUNCT
cana-3103	106	18	)	)	PUNCT
cana-3103	106	19	if	if	SCONJ
cana-3103	106	20	g	g	PROPN
cana-3103	106	21	(	(	PUNCT
cana-3103	106	22	resp	resp	NOUN
cana-3103	106	23	.	.	PUNCT
cana-3103	107	1	g	g	NOUN
cana-3103	107	2	*	*	PUNCT
cana-3103	107	3	)	)	PUNCT
cana-3103	107	4	is	be	AUX
cana-3103	107	5	the	the	DET
cana-3103	107	6	graph	graph	NOUN
cana-3103	107	7	created	create	VERB
cana-3103	107	8	by	by	ADP
cana-3103	107	9	finding	find	VERB
cana-3103	107	10	a	a	DET
cana-3103	107	11	vertex	vertex	NOUN
cana-3103	107	12	v∗	v∗	NOUN
cana-3103	107	13	of	of	ADP
cana-3103	107	14	g	g	PROPN
cana-3103	107	15	and	and	CCONJ
cana-3103	107	16	v*k−1	v*k−1	PROPN
cana-3103	107	17	in	in	ADP
cana-3103	107	18	p.	p.	NOUN
cana-3103	107	19	proof	proof	NOUN
cana-3103	107	20	:	:	PUNCT
cana-3103	107	21	let	let	VERB
cana-3103	107	22	,	,	PUNCT
cana-3103	107	23	fig.2	fig.2	PROPN
cana-3103	107	24	:	:	PUNCT
cana-3103	107	25	half	half	NOUN
cana-3103	107	26	of	of	ADP
cana-3103	107	27	the	the	DET
cana-3103	107	28	spider	spider	NOUN
cana-3103	107	29	graph	graph	NOUN
cana-3103	107	30	(	(	PUNCT
cana-3103	107	31	14	14	NUM
cana-3103	107	32	,	,	PUNCT
cana-3103	107	33	23	23	NUM
cana-3103	107	34	)	)	PUNCT
cana-3103	107	35	communications	communication	NOUN
cana-3103	107	36	on	on	ADP
cana-3103	107	37	applied	apply	VERB
cana-3103	107	38	nonlinear	nonlinear	ADJ
cana-3103	107	39	analysis	analysis	NOUN
cana-3103	107	40	issn	issn	NOUN
cana-3103	107	41	:	:	PUNCT
cana-3103	107	42	1074	1074	NUM
cana-3103	107	43	-	-	PUNCT
cana-3103	107	44	133x	133x	NUM
cana-3103	107	45	vol	vol	NOUN
cana-3103	107	46	32	32	NUM
cana-3103	107	47	no	no	NOUN
cana-3103	107	48	.	.	PUNCT
cana-3103	108	1	5s	5s	NUM
cana-3103	108	2	(	(	PUNCT
cana-3103	108	3	2025	2025	NUM
cana-3103	108	4	)	)	PUNCT
cana-3103	108	5	330	330	NUM
cana-3103	108	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	108	7	a	a	DET
cana-3103	108	8	half	half	NOUN
cana-3103	108	9	of	of	ADP
cana-3103	108	10	the	the	DET
cana-3103	108	11	spider	spider	NOUN
cana-3103	108	12	network	network	NOUN
cana-3103	108	13	has	have	VERB
cana-3103	108	14	two	two	NUM
cana-3103	108	15	a	a	DET
cana-3103	108	16	+	+	NOUN
cana-3103	108	17	b	b	NOUN
cana-3103	108	18	vertices	vertex	NOUN
cana-3103	108	19	with	with	ADP
cana-3103	108	20	degrees	degree	NOUN
cana-3103	108	21	a	a	PRON
cana-3103	108	22	and	and	CCONJ
cana-3103	108	23	b	b	NOUN
cana-3103	108	24	,	,	PUNCT
cana-3103	108	25	whereas	whereas	SCONJ
cana-3103	108	26	the	the	DET
cana-3103	108	27	other	other	ADJ
cana-3103	108	28	half	half	NOUN
cana-3103	108	29	has	have	VERB
cana-3103	108	30	degree	degree	NOUN
cana-3103	108	31	1	1	NUM
cana-3103	108	32	(	(	PUNCT
cana-3103	108	33	assuming	assume	VERB
cana-3103	108	34	a	a	DET
cana-3103	108	35	≥	≥	NOUN
cana-3103	108	36	b	b	NOUN
cana-3103	108	37	for	for	ADP
cana-3103	108	38	symmetry	symmetry	NOUN
cana-3103	108	39	)	)	PUNCT
cana-3103	108	40	.	.	PUNCT
cana-3103	109	1	deng	deng	PROPN
cana-3103	109	2	established	establish	VERB
cana-3103	109	3	that	that	SCONJ
cana-3103	109	4	j	j	PROPN
cana-3103	109	5	is	be	AUX
cana-3103	109	6	a	a	DET
cana-3103	109	7	convex	convex	NOUN
cana-3103	109	8	(	(	PUNCT
cana-3103	109	9	continuous	continuous	ADJ
cana-3103	109	10	)	)	PUNCT
cana-3103	109	11	function	function	NOUN
cana-3103	109	12	of	of	ADP
cana-3103	109	13	x.	x.	NOUN
cana-3103	109	14	to	to	PART
cana-3103	109	15	understand	understand	VERB
cana-3103	109	16	how	how	SCONJ
cana-3103	109	17	this	this	DET
cana-3103	109	18	result	result	NOUN
cana-3103	109	19	might	might	AUX
cana-3103	109	20	be	be	AUX
cana-3103	109	21	expanded	expand	VERB
cana-3103	109	22	,	,	PUNCT
cana-3103	109	23	we	we	PRON
cana-3103	109	24	must	must	AUX
cana-3103	109	25	first	first	ADV
cana-3103	109	26	define	define	VERB
cana-3103	109	27	a	a	DET
cana-3103	109	28	discrete	discrete	ADJ
cana-3103	109	29	convex	convex	NOUN
cana-3103	109	30	function	function	NOUN
cana-3103	109	31	.	.	PUNCT
cana-3103	110	1	a	a	DET
cana-3103	110	2	(	(	PUNCT
cana-3103	110	3	discrete	discrete	NOUN
cana-3103	110	4	)	)	PUNCT
cana-3103	110	5	function	function	NOUN
cana-3103	110	6	f	f	PROPN
cana-3103	110	7	is	be	AUX
cana-3103	110	8	strictly	strictly	ADV
cana-3103	110	9	convex	convex	ADJ
cana-3103	110	10	if	if	SCONJ
cana-3103	110	11	it	it	PRON
cana-3103	110	12	holds	hold	VERB
cana-3103	110	13	for	for	ADP
cana-3103	110	14	every	every	DET
cana-3103	110	15	x0	x0	PROPN
cana-3103	110	16	<	<	X
cana-3103	110	17	x1	x1	PROPN
cana-3103	110	18	<	<	X
cana-3103	110	19	x2	x2	PROPN
cana-3103	110	20	in	in	ADP
cana-3103	110	21	its	its	PRON
cana-3103	110	22	domain	domain	NOUN
cana-3103	110	23	.	.	PUNCT
cana-3103	111	1	the	the	DET
cana-3103	111	2	rule	rule	NOUN
cana-3103	111	3	holds	hold	VERB
cana-3103	111	4	true	true	ADJ
cana-3103	111	5	even	even	ADV
cana-3103	111	6	if	if	SCONJ
cana-3103	111	7	the	the	DET
cana-3103	111	8	domain	domain	NOUN
cana-3103	111	9	is	be	AUX
cana-3103	111	10	a	a	DET
cana-3103	111	11	collection	collection	NOUN
cana-3103	111	12	of	of	ADP
cana-3103	111	13	numbers	number	NOUN
cana-3103	111	14	greater	great	ADJ
cana-3103	111	15	than	than	ADP
cana-3103	111	16	or	or	CCONJ
cana-3103	111	17	equal	equal	ADJ
cana-3103	111	18	to	to	ADP
cana-3103	111	19	b.	b.	PROPN
cana-3103	111	20	theorem	theorem	VERB
cana-3103	111	21	4.3	4.3	NUM
cana-3103	111	22	the	the	DET
cana-3103	111	23	spider	spider	NOUN
cana-3103	111	24	graph	graph	NOUN
cana-3103	111	25	j(12t,2	j(12t,2	PROPN
cana-3103	111	26	t	t	PROPN
cana-3103	111	27	)	)	PUNCT
cana-3103	111	28	has	have	VERB
cana-3103	111	29	an	an	DET
cana-3103	111	30	integer	integer	NOUN
cana-3103	111	31	i	i	NOUN
cana-3103	111	32	-	-	PUNCT
cana-3103	111	33	cordial	cordial	ADJ
cana-3103	111	34	labeling	labeling	NOUN
cana-3103	111	35	graph	graph	NOUN
cana-3103	111	36	at	at	ADP
cana-3103	111	37	the	the	DET
cana-3103	111	38	n	n	NUM
cana-3103	111	39	-	-	PUNCT
cana-3103	111	40	part	part	NOUN
cana-3103	111	41	1	1	NUM
cana-3103	111	42	-	-	PUNCT
cana-3103	111	43	join	join	NOUN
cana-3103	111	44	.	.	PUNCT
cana-3103	112	1	proof	proof	NOUN
cana-3103	112	2	:	:	PUNCT
cana-3103	112	3	we	we	PRON
cana-3103	112	4	establish	establish	VERB
cana-3103	112	5	the	the	DET
cana-3103	112	6	theorem	theorem	NOUN
cana-3103	112	7	by	by	ADP
cana-3103	112	8	calculating	calculate	VERB
cana-3103	112	9	the	the	DET
cana-3103	112	10	number	number	NOUN
cana-3103	112	11	of	of	ADP
cana-3103	112	12	pieces	piece	NOUN
cana-3103	112	13	added	add	VERB
cana-3103	112	14	to	to	ADP
cana-3103	112	15	the	the	DET
cana-3103	112	16	basic	basic	ADJ
cana-3103	112	17	spider	spider	NOUN
cana-3103	112	18	graph	graph	NOUN
cana-3103	112	19	by	by	ADP
cana-3103	112	20	mathematical	mathematical	ADJ
cana-3103	112	21	induction	induction	NOUN
cana-3103	112	22	.	.	PUNCT
cana-3103	113	1	we	we	PRON
cana-3103	113	2	know	know	VERB
cana-3103	113	3	that	that	SCONJ
cana-3103	113	4	when	when	SCONJ
cana-3103	113	5	a	a	DET
cana-3103	113	6	basic	basic	ADJ
cana-3103	113	7	spider	spider	NOUN
cana-3103	113	8	graph	graph	NOUN
cana-3103	113	9	is	be	AUX
cana-3103	113	10	linked	link	VERB
cana-3103	113	11	to	to	ADP
cana-3103	113	12	another	another	DET
cana-3103	113	13	basic	basic	ADJ
cana-3103	113	14	spider	spider	NOUN
cana-3103	113	15	network	network	NOUN
cana-3103	113	16	using	use	VERB
cana-3103	113	17	a	a	DET
cana-3103	113	18	1	1	NUM
cana-3103	113	19	-	-	PUNCT
cana-3103	113	20	join	join	NOUN
cana-3103	113	21	,	,	PUNCT
cana-3103	113	22	an	an	DET
cana-3103	113	23	integer	integer	NOUN
cana-3103	113	24	i	i	PRON
cana-3103	113	25	cordial	cordial	ADJ
cana-3103	113	26	labeling	labeling	NOUN
cana-3103	113	27	graph	graph	NOUN
cana-3103	113	28	is	be	AUX
cana-3103	113	29	created	create	VERB
cana-3103	113	30	.	.	PUNCT
cana-3103	114	1	assume	assume	VERB
cana-3103	114	2	the	the	DET
cana-3103	114	3	theory	theory	NOUN
cana-3103	114	4	holds	hold	VERB
cana-3103	114	5	for	for	ADP
cana-3103	114	6	n1	n1	ADJ
cana-3103	114	7	parts	part	NOUN
cana-3103	114	8	,	,	PUNCT
cana-3103	114	9	which	which	PRON
cana-3103	114	10	means	mean	VERB
cana-3103	114	11	that	that	SCONJ
cana-3103	114	12	an	an	DET
cana-3103	114	13	integer	integer	NOUN
cana-3103	114	14	i	i	PRON
cana-3103	114	15	cordial	cordial	ADJ
cana-3103	114	16	labeling	labeling	NOUN
cana-3103	114	17	graph	graph	NOUN
cana-3103	114	18	is	be	AUX
cana-3103	114	19	the	the	DET
cana-3103	114	20	1	1	NUM
cana-3103	114	21	-	-	PUNCT
cana-3103	114	22	join	join	NOUN
cana-3103	114	23	of	of	ADP
cana-3103	114	24	one	one	NUM
cana-3103	114	25	n-1	n-1	NOUN
cana-3103	114	26	spider	spider	NOUN
cana-3103	114	27	graph	graph	NOUN
cana-3103	114	28	part	part	NOUN
cana-3103	114	29	to	to	ADP
cana-3103	114	30	another	another	DET
cana-3103	114	31	n-1	n-1	NOUN
cana-3103	114	32	spider	spider	NOUN
cana-3103	114	33	graph	graph	NOUN
cana-3103	114	34	part	part	NOUN
cana-3103	114	35	.	.	PUNCT
cana-3103	115	1	let	let	VERB
cana-3103	115	2	us	we	PRON
cana-3103	115	3	now	now	ADV
cana-3103	115	4	demonstrate	demonstrate	VERB
cana-3103	115	5	that	that	SCONJ
cana-3103	115	6	the	the	DET
cana-3103	115	7	theory	theory	NOUN
cana-3103	115	8	works	work	VERB
cana-3103	115	9	for	for	ADP
cana-3103	115	10	n	n	DET
cana-3103	115	11	parts	part	NOUN
cana-3103	115	12	,	,	PUNCT
cana-3103	115	13	i.e.	i.e.	X
cana-3103	115	14	,	,	PUNCT
cana-3103	115	15	a	a	DET
cana-3103	115	16	1	1	NUM
cana-3103	115	17	-	-	PUNCT
cana-3103	115	18	join	join	NOUN
cana-3103	115	19	of	of	ADP
cana-3103	115	20	n	n	PRON
cana-3103	115	21	spider	spider	NOUN
cana-3103	115	22	graph	graph	NOUN
cana-3103	115	23	parts	part	NOUN
cana-3103	115	24	to	to	ADP
cana-3103	115	25	another	another	PRON
cana-3103	115	26	n	n	CCONJ
cana-3103	115	27	spider	spider	NOUN
cana-3103	115	28	graph	graph	NOUN
cana-3103	115	29	parts	part	NOUN
cana-3103	115	30	,	,	PUNCT
cana-3103	115	31	with	with	ADP
cana-3103	115	32	integer	integer	NOUN
cana-3103	115	33	i	i	PRON
cana-3103	115	34	representing	represent	VERB
cana-3103	115	35	a	a	DET
cana-3103	115	36	pleasant	pleasant	ADJ
cana-3103	115	37	labeling	labeling	NOUN
cana-3103	115	38	graph	graph	NOUN
cana-3103	115	39	.	.	PUNCT
cana-3103	116	1	to	to	PART
cana-3103	116	2	form	form	VERB
cana-3103	116	3	a	a	DET
cana-3103	116	4	k	k	NOUN
cana-3103	116	5	-	-	ADJ
cana-3103	116	6	part	part	NOUN
cana-3103	116	7	spider	spider	NOUN
cana-3103	116	8	graph	graph	NOUN
cana-3103	116	9	,	,	PUNCT
cana-3103	116	10	we	we	PRON
cana-3103	116	11	connect	connect	VERB
cana-3103	116	12	one	one	NUM
cana-3103	116	13	part	part	NOUN
cana-3103	116	14	to	to	ADP
cana-3103	116	15	the	the	DET
cana-3103	116	16	n-1	n-1	ADJ
cana-3103	116	17	spider	spider	NOUN
cana-3103	116	18	graph	graph	NOUN
cana-3103	116	19	,	,	PUNCT
cana-3103	116	20	resulting	result	VERB
cana-3103	116	21	in	in	ADP
cana-3103	116	22	n	n	DET
cana-3103	116	23	parts	part	NOUN
cana-3103	116	24	,	,	PUNCT
cana-3103	116	25	and	and	CCONJ
cana-3103	116	26	then	then	ADV
cana-3103	116	27	merge	merge	VERB
cana-3103	116	28	with	with	ADP
cana-3103	116	29	another	another	DET
cana-3103	116	30	n-1	n-1	NOUN
cana-3103	116	31	spider	spider	NOUN
cana-3103	116	32	part	part	NOUN
cana-3103	116	33	,	,	PUNCT
cana-3103	116	34	which	which	PRON
cana-3103	116	35	is	be	AUX
cana-3103	116	36	also	also	ADV
cana-3103	116	37	connected	connect	VERB
cana-3103	116	38	to	to	ADP
cana-3103	116	39	one	one	NUM
cana-3103	116	40	part	part	NOUN
cana-3103	116	41	.	.	PUNCT
cana-3103	117	1	because	because	SCONJ
cana-3103	117	2	the	the	DET
cana-3103	117	3	n-1	n-1	NOUN
cana-3103	117	4	and	and	CCONJ
cana-3103	117	5	1	1	NUM
cana-3103	117	6	portions	portion	NOUN
cana-3103	117	7	are	be	AUX
cana-3103	117	8	both	both	CCONJ
cana-3103	117	9	integer	integer	ADJ
cana-3103	117	10	i	i	PRON
cana-3103	117	11	cordial	cordial	ADJ
cana-3103	117	12	labelings	labeling	NOUN
cana-3103	117	13	,	,	PUNCT
cana-3103	117	14	it	it	PRON
cana-3103	117	15	follows	follow	VERB
cana-3103	117	16	that	that	SCONJ
cana-3103	117	17	merging	merge	VERB
cana-3103	117	18	two	two	NUM
cana-3103	117	19	n	n	CCONJ
cana-3103	117	20	-	-	PUNCT
cana-3103	117	21	part	part	NOUN
cana-3103	117	22	spider	spider	NOUN
cana-3103	117	23	graphs	graph	NOUN
cana-3103	117	24	is	be	AUX
cana-3103	117	25	integer	integer	NOUN
cana-3103	117	26	i	i	PRON
cana-3103	117	27	cordial	cordial	ADJ
cana-3103	117	28	labeling	labeling	NOUN
cana-3103	117	29	.	.	PUNCT
cana-3103	118	1	we	we	PRON
cana-3103	118	2	may	may	AUX
cana-3103	118	3	now	now	ADV
cana-3103	118	4	construct	construct	VERB
cana-3103	118	5	a	a	DET
cana-3103	118	6	2	2	NUM
cana-3103	118	7	-	-	PUNCT
cana-3103	118	8	join	join	NOUN
cana-3103	118	9	n	n	CCONJ
cana-3103	118	10	-	-	PUNCT
cana-3103	118	11	part	part	NOUN
cana-3103	118	12	spider	spider	NOUN
cana-3103	118	13	network	network	NOUN
cana-3103	118	14	in	in	ADP
cana-3103	118	15	a	a	DET
cana-3103	118	16	similar	similar	ADJ
cana-3103	118	17	fashion	fashion	NOUN
cana-3103	118	18	,	,	PUNCT
cana-3103	118	19	resulting	result	VERB
cana-3103	118	20	in	in	ADP
cana-3103	118	21	an	an	DET
cana-3103	118	22	odd	odd	ADJ
cana-3103	118	23	number	number	NOUN
cana-3103	118	24	of	of	ADP
cana-3103	118	25	vertices	vertex	NOUN
cana-3103	118	26	.	.	PUNCT
cana-3103	119	1	in	in	ADP
cana-3103	119	2	this	this	DET
cana-3103	119	3	scenario	scenario	NOUN
cana-3103	119	4	,	,	PUNCT
cana-3103	119	5	m	m	VERB
cana-3103	119	6	represents	represent	VERB
cana-3103	119	7	the	the	DET
cana-3103	119	8	number	number	NOUN
cana-3103	119	9	of	of	ADP
cana-3103	119	10	joins	join	NOUN
cana-3103	119	11	that	that	PRON
cana-3103	119	12	are	be	AUX
cana-3103	119	13	connected	connect	VERB
cana-3103	119	14	to	to	ADP
cana-3103	119	15	the	the	DET
cana-3103	119	16	spider	spider	NOUN
cana-3103	119	17	graph	graph	NOUN
cana-3103	119	18	's	's	PART
cana-3103	119	19	n	n	CCONJ
cana-3103	119	20	-	-	PUNCT
cana-3103	119	21	part	part	NOUN
cana-3103	119	22	.	.	PUNCT
cana-3103	120	1	because	because	SCONJ
cana-3103	120	2	the	the	DET
cana-3103	120	3	number	number	NOUN
cana-3103	120	4	of	of	ADP
cana-3103	120	5	vertices	vertex	NOUN
cana-3103	120	6	that	that	PRON
cana-3103	120	7	must	must	AUX
cana-3103	120	8	be	be	AUX
cana-3103	120	9	labeled	label	VERB
cana-3103	120	10	is	be	AUX
cana-3103	120	11	odd	odd	ADJ
cana-3103	120	12	if	if	SCONJ
cana-3103	120	13	m	m	NOUN
cana-3103	120	14	is	be	AUX
cana-3103	120	15	even	even	ADV
cana-3103	120	16	,	,	PUNCT
cana-3103	120	17	we	we	PRON
cana-3103	120	18	use	use	VERB
cana-3103	120	19	the	the	DET
cana-3103	120	20	technique	technique	NOUN
cana-3103	120	21	provided	provide	VERB
cana-3103	120	22	.	.	PUNCT
cana-3103	121	1	if	if	SCONJ
cana-3103	121	2	m	m	PROPN
cana-3103	121	3	is	be	AUX
cana-3103	121	4	odd	odd	ADJ
cana-3103	121	5	,	,	PUNCT
cana-3103	121	6	the	the	DET
cana-3103	121	7	number	number	NOUN
cana-3103	121	8	of	of	ADP
cana-3103	121	9	vertices	vertex	NOUN
cana-3103	121	10	to	to	PART
cana-3103	121	11	label	label	NOUN
cana-3103	121	12	is	be	AUX
cana-3103	121	13	even	even	ADV
cana-3103	121	14	,	,	PUNCT
cana-3103	121	15	therefore	therefore	ADV
cana-3103	121	16	we	we	PRON
cana-3103	121	17	repeat	repeat	VERB
cana-3103	121	18	the	the	DET
cana-3103	121	19	technique	technique	NOUN
cana-3103	121	20	used	use	VERB
cana-3103	121	21	to	to	PART
cana-3103	121	22	name	name	VERB
cana-3103	121	23	the	the	DET
cana-3103	121	24	1	1	NUM
cana-3103	121	25	-	-	PUNCT
cana-3103	121	26	join	join	NOUN
cana-3103	121	27	of	of	ADP
cana-3103	121	28	the	the	DET
cana-3103	121	29	n	n	NOUN
cana-3103	121	30	-	-	PUNCT
cana-3103	121	31	part	part	NOUN
cana-3103	121	32	of	of	ADP
cana-3103	121	33	the	the	DET
cana-3103	121	34	spider	spider	NOUN
cana-3103	121	35	network	network	NOUN
cana-3103	121	36	.	.	PUNCT
cana-3103	122	1	example4.4	example4.4	PROPN
cana-3103	122	2	the	the	DET
cana-3103	122	3	treatment	treatment	NOUN
cana-3103	122	4	can	can	AUX
cana-3103	122	5	be	be	AUX
cana-3103	122	6	continued	continue	VERB
cana-3103	122	7	in	in	ADP
cana-3103	122	8	this	this	DET
cana-3103	122	9	manner	manner	NOUN
cana-3103	122	10	.	.	PUNCT
cana-3103	123	1	the	the	DET
cana-3103	123	2	table	table	NOUN
cana-3103	123	3	below	below	ADV
cana-3103	123	4	includes	include	VERB
cana-3103	123	5	instances	instance	NOUN
cana-3103	123	6	of	of	ADP
cana-3103	123	7	the	the	DET
cana-3103	123	8	following	following	NOUN
cana-3103	123	9	.	.	PUNCT
cana-3103	124	1	figure	figure	VERB
cana-3103	124	2	2	2	NUM
cana-3103	124	3	's	's	PART
cana-3103	124	4	reference	reference	NOUN
cana-3103	124	5	indicates	indicate	VERB
cana-3103	124	6	that	that	SCONJ
cana-3103	124	7	,	,	PUNCT
cana-3103	124	8	table	table	NOUN
cana-3103	124	9	1	1	NUM
cana-3103	124	10	.	.	PUNCT
cana-3103	124	11	spider	spider	NOUN
cana-3103	124	12	graph	graph	NOUN
cana-3103	124	13	sp(n2	sp(n2	ADP
cana-3103	124	14	t	t	PROPN
cana-3103	124	15	,	,	PUNCT
cana-3103	124	16	2	2	NUM
cana-3103	124	17	t	t	NOUN
cana-3103	124	18	)	)	PUNCT
cana-3103	124	19	with	with	ADP
cana-3103	124	20	number	number	NOUN
cana-3103	124	21	of	of	ADP
cana-3103	124	22	vertices	vertex	NOUN
cana-3103	124	23	and	and	CCONJ
cana-3103	124	24	edges	edge	NOUN
cana-3103	124	25	type	type	NOUN
cana-3103	124	26	of	of	ADP
cana-3103	124	27	1join	1join	NUM
cana-3103	124	28	of	of	ADP
cana-3103	124	29	spider	spider	NOUN
cana-3103	124	30	graph	graph	NOUN
cana-3103	124	31	sp(1m,2	sp(1m,2	PROPN
cana-3103	124	32	t	t	PROPN
cana-3103	124	33	)	)	PUNCT
cana-3103	124	34	number	number	NOUN
cana-3103	124	35	of	of	ADP
cana-3103	124	36	vertices	vertex	NOUN
cana-3103	124	37	number	number	NOUN
cana-3103	124	38	of	of	ADP
cana-3103	124	39	edges	edge	NOUN
cana-3103	124	40	g(12,21	g(12,21	ADJ
cana-3103	124	41	)	)	PUNCT
cana-3103	124	42	5	5	NUM
cana-3103	124	43	6	6	NUM
cana-3103	124	44	g(13,22	g(13,22	NOUN
cana-3103	124	45	)	)	PUNCT
cana-3103	124	46	7	7	NUM
cana-3103	124	47	8	8	NUM
cana-3103	124	48	g(14,23	g(14,23	NOUN
cana-3103	124	49	)	)	PUNCT
cana-3103	124	50	9	9	NUM
cana-3103	124	51	9	9	NUM
cana-3103	124	52	g(15,24	g(15,24	NOUN
cana-3103	124	53	)	)	PUNCT
cana-3103	124	54	14	14	NUM
cana-3103	124	55	13	13	NUM
cana-3103	124	56	and	and	CCONJ
cana-3103	124	57	so	so	ADV
cana-3103	124	58	on	on	ADP
cana-3103	124	59	..	..	PUNCT
cana-3103	124	60	…	…	PUNCT
cana-3103	124	61	.	.	PUNCT
cana-3103	125	1	…	…	PUNCT
cana-3103	125	2	.	.	PUNCT
cana-3103	126	1	communications	communication	NOUN
cana-3103	126	2	on	on	ADP
cana-3103	126	3	applied	apply	VERB
cana-3103	126	4	nonlinear	nonlinear	ADJ
cana-3103	126	5	analysis	analysis	NOUN
cana-3103	126	6	issn	issn	NOUN
cana-3103	126	7	:	:	PUNCT
cana-3103	126	8	1074	1074	NUM
cana-3103	126	9	-	-	PUNCT
cana-3103	126	10	133x	133x	NUM
cana-3103	126	11	vol	vol	NOUN
cana-3103	126	12	32	32	NUM
cana-3103	126	13	no	no	NOUN
cana-3103	126	14	.	.	PUNCT
cana-3103	127	1	5s	5s	NUM
cana-3103	127	2	(	(	PUNCT
cana-3103	127	3	2025	2025	NUM
cana-3103	127	4	)	)	PUNCT
cana-3103	127	5	331	331	NUM
cana-3103	127	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	127	7	corollary4.5	corollary4.5	PROPN
cana-3103	127	8	(	(	PUNCT
cana-3103	127	9	i	i	NOUN
cana-3103	127	10	)	)	PUNCT
cana-3103	127	11	.	.	PUNCT
cana-3103	128	1	edge	edge	NOUN
cana-3103	128	2	vertex	vertex	NOUN
cana-3103	128	3	balaban	balaban	PROPN
cana-3103	128	4	index	index	NOUN
cana-3103	128	5	of	of	ADP
cana-3103	128	6	bf(n	bf(n	PROPN
cana-3103	128	7	)	)	PUNCT
cana-3103	128	8	(	(	PUNCT
cana-3103	128	9	ii	ii	NOUN
cana-3103	128	10	)	)	PUNCT
cana-3103	128	11	.	.	PUNCT
cana-3103	129	1	padmakar	padmakar	PROPN
cana-3103	129	2	ivan	ivan	PROPN
cana-3103	129	3	index	index	NOUN
cana-3103	129	4	of	of	ADP
cana-3103	129	5	bf(n	bf(n	PROPN
cana-3103	129	6	)	)	PUNCT
cana-3103	129	7	is	be	AUX
cana-3103	129	8	calculated	calculate	VERB
cana-3103	129	9	as	as	SCONJ
cana-3103	129	10	follows	follow	VERB
cana-3103	129	11	robust	robust	ADJ
cana-3103	129	12	fuzzy	fuzzy	ADJ
cana-3103	129	13	topological	topological	ADJ
cana-3103	129	14	model	model	NOUN
cana-3103	129	15	(	(	PUNCT
cana-3103	129	16	rftm	rftm	PROPN
cana-3103	129	17	)	)	PUNCT
cana-3103	129	18	in	in	ADP
cana-3103	129	19	this	this	DET
cana-3103	129	20	section	section	NOUN
cana-3103	129	21	to	to	PART
cana-3103	129	22	treat	treat	VERB
cana-3103	129	23	the	the	DET
cana-3103	129	24	edges	edge	NOUN
cana-3103	129	25	as	as	ADP
cana-3103	129	26	relationships	relationship	NOUN
cana-3103	129	27	(	(	PUNCT
cana-3103	129	28	dependencies	dependency	NOUN
cana-3103	129	29	)	)	PUNCT
cana-3103	129	30	between	between	ADP
cana-3103	129	31	variables	variable	NOUN
cana-3103	129	32	,	,	PUNCT
cana-3103	129	33	and	and	CCONJ
cana-3103	129	34	the	the	DET
cana-3103	129	35	nodes	node	NOUN
cana-3103	129	36	represent	represent	VERB
cana-3103	129	37	the	the	DET
cana-3103	129	38	variables	variable	NOUN
cana-3103	129	39	themselves.determine	themselves.determine	PROPN
cana-3103	129	40	the	the	DET
cana-3103	129	41	variables	variable	NOUN
cana-3103	129	42	(	(	PUNCT
cana-3103	129	43	nodes	node	NOUN
cana-3103	129	44	in	in	ADP
cana-3103	129	45	the	the	DET
cana-3103	129	46	fuzzy	fuzzy	ADJ
cana-3103	129	47	graph	graph	NOUN
cana-3103	129	48	)	)	PUNCT
cana-3103	129	49	and	and	CCONJ
cana-3103	129	50	their	their	PRON
cana-3103	129	51	relationships	relationship	NOUN
cana-3103	129	52	(	(	PUNCT
cana-3103	129	53	edges	edge	NOUN
cana-3103	129	54	)	)	PUNCT
cana-3103	129	55	.	.	PUNCT
cana-3103	130	1	use	use	VERB
cana-3103	130	2	fuzzy	fuzzy	ADJ
cana-3103	130	3	membership	membership	NOUN
cana-3103	130	4	functions	function	NOUN
cana-3103	130	5	to	to	PART
cana-3103	130	6	quantify	quantify	VERB
cana-3103	130	7	uncertainties	uncertainty	NOUN
cana-3103	130	8	in	in	ADP
cana-3103	130	9	these	these	DET
cana-3103	130	10	relationships	relationship	NOUN
cana-3103	130	11	.	.	PUNCT
cana-3103	131	1	these	these	PRON
cana-3103	131	2	might	might	AUX
cana-3103	131	3	represent	represent	VERB
cana-3103	131	4	expert	expert	ADJ
cana-3103	131	5	opinions	opinion	NOUN
cana-3103	131	6	,	,	PUNCT
cana-3103	131	7	probabilities	probability	NOUN
cana-3103	131	8	,	,	PUNCT
cana-3103	131	9	or	or	CCONJ
cana-3103	131	10	vague	vague	ADJ
cana-3103	131	11	correlations.assign	correlations.assign	NOUN
cana-3103	131	12	fuzzy	fuzzy	ADJ
cana-3103	131	13	weights	weight	NOUN
cana-3103	131	14	to	to	ADP
cana-3103	131	15	edges	edge	NOUN
cana-3103	131	16	based	base	VERB
cana-3103	131	17	on	on	ADP
cana-3103	131	18	the	the	DET
cana-3103	131	19	strength	strength	NOUN
cana-3103	131	20	of	of	ADP
cana-3103	131	21	relationships	relationship	NOUN
cana-3103	131	22	.	.	PUNCT
cana-3103	132	1	the	the	DET
cana-3103	132	2	robust	robust	ADJ
cana-3103	132	3	fuzzy	fuzzy	ADJ
cana-3103	132	4	variables	variable	NOUN
cana-3103	132	5	in	in	ADP
cana-3103	132	6	the	the	DET
cana-3103	132	7	regression	regression	NOUN
cana-3103	132	8	equationis	equationis	NOUN
cana-3103	132	9	,	,	PUNCT
cana-3103	132	10	where	where	SCONJ
cana-3103	132	11	𝛽	𝛽	NOUN
cana-3103	132	12	�	�	PROPN
cana-3103	132	13	̃	̃	PROPN
cana-3103	132	14	�	�	PROPN
cana-3103	132	15	and	and	CCONJ
cana-3103	132	16	𝜖̃	𝜖̃	PROPN
cana-3103	132	17	are	be	AUX
cana-3103	132	18	the	the	DET
cana-3103	132	19	fuzzy	fuzzy	ADJ
cana-3103	132	20	coefficients	coefficient	NOUN
cana-3103	132	21	and	and	CCONJ
cana-3103	132	22	residuals	residual	NOUN
cana-3103	132	23	.	.	PUNCT
cana-3103	133	1	use	use	VERB
cana-3103	133	2	a	a	DET
cana-3103	133	3	fuzzy	fuzzy	ADJ
cana-3103	133	4	linear	linear	NOUN
cana-3103	133	5	regression	regression	NOUN
cana-3103	133	6	fuzzy	fuzzy	ADJ
cana-3103	133	7	least	least	ADJ
cana-3103	133	8	squares	square	NOUN
cana-3103	133	9	approach	approach	VERB
cana-3103	133	10	to	to	PART
cana-3103	133	11	estimate	estimate	VERB
cana-3103	133	12	coefficients	coefficient	NOUN
cana-3103	133	13	.	.	PUNCT
cana-3103	134	1	that	that	PRON
cana-3103	134	2	is	be	AUX
cana-3103	134	3	modify	modify	VERB
cana-3103	134	4	the	the	DET
cana-3103	134	5	least	least	ADJ
cana-3103	134	6	squares	square	NOUN
cana-3103	134	7	method	method	NOUN
cana-3103	134	8	to	to	PART
cana-3103	134	9	accommodate	accommodate	VERB
cana-3103	134	10	fuzziness	fuzziness	NOUN
cana-3103	134	11	in	in	ADP
cana-3103	134	12	the	the	DET
cana-3103	134	13	dependent	dependent	ADJ
cana-3103	134	14	or	or	CCONJ
cana-3103	134	15	independent	independent	ADJ
cana-3103	134	16	variables	variable	NOUN
cana-3103	134	17	.	.	PUNCT
cana-3103	135	1	algorithm	algorithm	NOUN
cana-3103	135	2	(	(	PUNCT
cana-3103	135	3	i	i	NOUN
cana-3103	135	4	)	)	PUNCT
cana-3103	135	5	.	.	PUNCT
cana-3103	136	1	extract	extract	VERB
cana-3103	136	2	regression	regression	NOUN
cana-3103	136	3	features	feature	NOUN
cana-3103	136	4	based	base	VERB
cana-3103	136	5	on	on	ADP
cana-3103	136	6	the	the	DET
cana-3103	136	7	fuzzy	fuzzy	ADJ
cana-3103	136	8	graph	graph	NOUN
cana-3103	136	9	structure	structure	NOUN
cana-3103	136	10	.	.	PUNCT
cana-3103	137	1	(	(	PUNCT
cana-3103	137	2	ii	ii	NOUN
cana-3103	137	3	)	)	PUNCT
cana-3103	137	4	.	.	PUNCT
cana-3103	138	1	use	use	VERB
cana-3103	138	2	the	the	DET
cana-3103	138	3	fuzzy	fuzzy	ADJ
cana-3103	138	4	adjacency	adjacency	NOUN
cana-3103	138	5	matrix	matrix	NOUN
cana-3103	138	6	to	to	ADP
cana-3103	138	7	weight	weight	NOUN
cana-3103	138	8	relationships	relationship	NOUN
cana-3103	138	9	in	in	ADP
cana-3103	138	10	the	the	DET
cana-3103	138	11	regression	regression	NOUN
cana-3103	138	12	model	model	NOUN
cana-3103	138	13	.	.	PUNCT
cana-3103	139	1	(	(	PUNCT
cana-3103	139	2	iii	iii	NOUN
cana-3103	139	3	)	)	PUNCT
cana-3103	139	4	.	.	PUNCT
cana-3103	140	1	incorporate	incorporate	VERB
cana-3103	140	2	fuzzy	fuzzy	ADJ
cana-3103	140	3	graph	graph	NOUN
cana-3103	140	4	centrality	centrality	NOUN
cana-3103	140	5	measures	measure	NOUN
cana-3103	140	6	or	or	CCONJ
cana-3103	140	7	influence	influence	NOUN
cana-3103	140	8	scores	score	NOUN
cana-3103	140	9	as	as	ADP
cana-3103	140	10	predictors	predictor	NOUN
cana-3103	140	11	.	.	PUNCT
cana-3103	141	1	(	(	PUNCT
cana-3103	141	2	iv	iv	X
cana-3103	141	3	)	)	PUNCT
cana-3103	141	4	.	.	PUNCT
cana-3103	142	1	build	build	VERB
cana-3103	142	2	regression	regression	NOUN
cana-3103	142	3	equations	equation	NOUN
cana-3103	142	4	that	that	PRON
cana-3103	142	5	reflect	reflect	VERB
cana-3103	142	6	these	these	DET
cana-3103	142	7	weighted	weight	VERB
cana-3103	142	8	fuzzy	fuzzy	ADJ
cana-3103	142	9	relationships	relationship	NOUN
cana-3103	142	10	.	.	PUNCT
cana-3103	143	1	(	(	PUNCT
cana-3103	143	2	v	v	NOUN
cana-3103	143	3	)	)	PUNCT
cana-3103	143	4	.	.	PUNCT
cana-3103	144	1	convert	convert	VERB
cana-3103	144	2	the	the	DET
cana-3103	144	3	fuzzy	fuzzy	ADJ
cana-3103	144	4	regression	regression	NOUN
cana-3103	144	5	output	output	NOUN
cana-3103	144	6	back	back	ADV
cana-3103	144	7	to	to	ADP
cana-3103	144	8	crisp	crisp	ADJ
cana-3103	144	9	values	value	NOUN
cana-3103	144	10	using	use	VERB
cana-3103	144	11	defuzzification	defuzzification	NOUN
cana-3103	144	12	methods	method	NOUN
cana-3103	144	13	(	(	PUNCT
cana-3103	144	14	e.g.	e.g.	ADV
cana-3103	144	15	,	,	PUNCT
cana-3103	144	16	centroid	centroid	NOUN
cana-3103	144	17	,	,	PUNCT
cana-3103	144	18	maximum	maximum	ADJ
cana-3103	144	19	membership	membership	NOUN
cana-3103	144	20	)	)	PUNCT
cana-3103	144	21	.	.	PUNCT
cana-3103	145	1	(	(	PUNCT
cana-3103	145	2	vi	vi	NOUN
cana-3103	145	3	)	)	PUNCT
cana-3103	145	4	.	.	PUNCT
cana-3103	146	1	validate	validate	VERB
cana-3103	146	2	the	the	DET
cana-3103	146	3	model	model	NOUN
cana-3103	146	4	using	use	VERB
cana-3103	146	5	error	error	NOUN
cana-3103	146	6	metrics	metric	NOUN
cana-3103	146	7	adapted	adapt	VERB
cana-3103	146	8	for	for	ADP
cana-3103	146	9	fuzzy	fuzzy	ADJ
cana-3103	146	10	systems	system	NOUN
cana-3103	146	11	(	(	PUNCT
cana-3103	146	12	e.g.	e.g.	ADV
cana-3103	146	13	,	,	PUNCT
cana-3103	146	14	fuzzy	fuzzy	ADJ
cana-3103	146	15	mean	mean	NOUN
cana-3103	146	16	squared	square	VERB
cana-3103	146	17	error	error	NOUN
cana-3103	146	18	)	)	PUNCT
cana-3103	146	19	.	.	PUNCT
cana-3103	147	1	5.discussion	5.discussion	NUM
cana-3103	147	2	experimental	experimental	ADJ
cana-3103	147	3	study	study	NOUN
cana-3103	147	4	all	all	DET
cana-3103	147	5	algorithms	algorithm	NOUN
cana-3103	147	6	were	be	AUX
cana-3103	147	7	implemented	implement	VERB
cana-3103	147	8	using	use	VERB
cana-3103	147	9	matlab	matlab	PROPN
cana-3103	147	10	software	software	NOUN
cana-3103	147	11	.	.	PUNCT
cana-3103	148	1	images	image	NOUN
cana-3103	148	2	are	be	AUX
cana-3103	148	3	used	use	VERB
cana-3103	148	4	to	to	PART
cana-3103	148	5	assess	assess	VERB
cana-3103	148	6	the	the	DET
cana-3103	148	7	efficiency	efficiency	NOUN
cana-3103	148	8	of	of	ADP
cana-3103	148	9	various	various	ADJ
cana-3103	148	10	edge	edge	NOUN
cana-3103	148	11	detection	detection	NOUN
cana-3103	148	12	systems	system	NOUN
cana-3103	148	13	.	.	PUNCT
cana-3103	149	1	edge	edge	NOUN
cana-3103	149	2	points	point	NOUN
cana-3103	149	3	are	be	AUX
cana-3103	149	4	retrieved	retrieve	VERB
cana-3103	149	5	using	use	VERB
cana-3103	149	6	several	several	ADJ
cana-3103	149	7	edge	edge	NOUN
cana-3103	149	8	detectors	detector	NOUN
cana-3103	149	9	,	,	PUNCT
cana-3103	149	10	and	and	CCONJ
cana-3103	149	11	edge	edge	NOUN
cana-3103	149	12	features	feature	NOUN
cana-3103	149	13	are	be	AUX
cana-3103	149	14	identified	identify	VERB
cana-3103	149	15	by	by	ADP
cana-3103	149	16	filling	fill	VERB
cana-3103	149	17	in	in	ADP
cana-3103	149	18	one	one	NUM
cana-3103	149	19	-	-	PUNCT
cana-3103	149	20	pixel	pixel	NOUN
cana-3103	149	21	gaps	gap	NOUN
cana-3103	149	22	.	.	PUNCT
cana-3103	150	1	table	table	NOUN
cana-3103	150	2	2	2	NUM
cana-3103	150	3	summarizes	summarize	NOUN
cana-3103	150	4	the	the	DET
cana-3103	150	5	processing	processing	NOUN
cana-3103	150	6	time	time	NOUN
cana-3103	150	7	required	require	VERB
cana-3103	150	8	to	to	PART
cana-3103	150	9	detect	detect	VERB
cana-3103	150	10	edges	edge	NOUN
cana-3103	150	11	in	in	ADP
cana-3103	150	12	photos	photo	NOUN
cana-3103	150	13	.	.	PUNCT
cana-3103	151	1	figure	figure	VERB
cana-3103	151	2	3	3	NUM
cana-3103	151	3	depicts	depict	VERB
cana-3103	151	4	the	the	DET
cana-3103	151	5	edge	edge	NOUN
cana-3103	151	6	shown	show	VERB
cana-3103	151	7	in	in	ADP
cana-3103	151	8	the	the	DET
cana-3103	151	9	images	image	NOUN
cana-3103	151	10	.	.	PUNCT
cana-3103	152	1	communications	communication	NOUN
cana-3103	152	2	on	on	ADP
cana-3103	152	3	applied	apply	VERB
cana-3103	152	4	nonlinear	nonlinear	ADJ
cana-3103	152	5	analysis	analysis	NOUN
cana-3103	152	6	issn	issn	NOUN
cana-3103	152	7	:	:	PUNCT
cana-3103	152	8	1074	1074	NUM
cana-3103	152	9	-	-	PUNCT
cana-3103	152	10	133x	133x	NUM
cana-3103	152	11	vol	vol	NOUN
cana-3103	152	12	32	32	NUM
cana-3103	152	13	no	no	NOUN
cana-3103	152	14	.	.	PUNCT
cana-3103	153	1	5s	5s	NUM
cana-3103	153	2	(	(	PUNCT
cana-3103	153	3	2025	2025	NUM
cana-3103	153	4	)	)	PUNCT
cana-3103	153	5	332	332	NUM
cana-3103	153	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	153	7	algorithm	algorithm	NOUN
cana-3103	153	8	:	:	PUNCT
cana-3103	153	9	5.1	5.1	NUM
cana-3103	153	10	➢	➢	NOUN
cana-3103	153	11	input	input	NOUN
cana-3103	153	12	image	image	NOUN
cana-3103	153	13	.	.	PUNCT
cana-3103	154	1	➢	➢	VERB
cana-3103	154	2	guassian	guassian	NOUN
cana-3103	154	3	smoothing	smoothing	NOUN
cana-3103	154	4	.	.	PUNCT
cana-3103	155	1	➢	➢	NOUN
cana-3103	155	2	grandient	grandient	NOUN
cana-3103	155	3	in	in	ADP
cana-3103	155	4	x	x	PROPN
cana-3103	155	5	&	&	CCONJ
cana-3103	155	6	y.	y.	PROPN
cana-3103	155	7	➢	➢	VERB
cana-3103	155	8	non	non	ADJ
cana-3103	155	9	-	-	ADJ
cana-3103	155	10	maximum	maximum	ADJ
cana-3103	155	11	suppression	suppression	NOUN
cana-3103	155	12	.	.	PUNCT
cana-3103	156	1	➢	➢	PROPN
cana-3103	156	2	apply	apply	VERB
cana-3103	156	3	proposed	propose	VERB
cana-3103	156	4	rftm	rftm	NOUN
cana-3103	156	5	.	.	PUNCT
cana-3103	157	1	➢	➢	VERB
cana-3103	157	2	hysteresis	hysteresis	NOUN
cana-3103	157	3	threshold(t	threshold(t	NOUN
cana-3103	157	4	)	)	PUNCT
cana-3103	157	5	value	value	NOUN
cana-3103	157	6	.	.	PUNCT
cana-3103	158	1	➢	➢	NOUN
cana-3103	158	2	fill	fill	VERB
cana-3103	158	3	small	small	ADJ
cana-3103	158	4	gaps	gap	NOUN
cana-3103	158	5	in	in	ADP
cana-3103	158	6	edge	edge	NOUN
cana-3103	158	7	contours	contours	NOUN
cana-3103	158	8	.	.	PUNCT
cana-3103	159	1	➢	➢	PROPN
cana-3103	159	2	compare	compare	VERB
cana-3103	159	3	edges	edge	NOUN
cana-3103	159	4	found	find	VERB
cana-3103	159	5	using	use	VERB
cana-3103	159	6	the	the	DET
cana-3103	159	7	procedure	procedure	NOUN
cana-3103	159	8	.	.	PUNCT
cana-3103	160	1	table	table	NOUN
cana-3103	160	2	2	2	NUM
cana-3103	160	3	:	:	PUNCT
cana-3103	160	4	time	time	NOUN
cana-3103	160	5	taken	take	VERB
cana-3103	160	6	for	for	ADP
cana-3103	160	7	various	various	ADJ
cana-3103	160	8	edge	edge	NOUN
cana-3103	160	9	detection	detection	NOUN
cana-3103	160	10	operators	operator	NOUN
cana-3103	160	11	(	(	PUNCT
cana-3103	160	12	1	1	X
cana-3103	160	13	)	)	PUNCT
cana-3103	160	14	wang	wang	PROPN
cana-3103	160	15	brady	brady	PROPN
cana-3103	160	16	(	(	PUNCT
cana-3103	160	17	2	2	NUM
cana-3103	160	18	)	)	PUNCT
cana-3103	160	19	trajkovic	trajkovic	ADJ
cana-3103	160	20	hedley	hedley	NOUN
cana-3103	160	21	(	(	PUNCT
cana-3103	160	22	3	3	NUM
cana-3103	160	23	)	)	PUNCT
cana-3103	160	24	robert	robert	NOUN
cana-3103	160	25	(	(	PUNCT
cana-3103	160	26	4	4	NUM
cana-3103	160	27	)	)	PUNCT
cana-3103	160	28	prewitt	prewitt	NOUN
cana-3103	160	29	(	(	PUNCT
cana-3103	160	30	5	5	NUM
cana-3103	160	31	)	)	PUNCT
cana-3103	160	32	harris	harris	NOUN
cana-3103	160	33	(	(	PUNCT
cana-3103	160	34	6	6	NUM
cana-3103	160	35	)	)	PUNCT
cana-3103	160	36	susan	susan	NOUN
cana-3103	160	37	(	(	PUNCT
cana-3103	160	38	7	7	X
cana-3103	160	39	)	)	PUNCT
cana-3103	160	40	log	log	NOUN
cana-3103	160	41	(	(	PUNCT
cana-3103	160	42	8)	8)	NUM
cana-3103	160	43	zero	zero	NUM
cana-3103	160	44	crossing	crossing	NOUN
cana-3103	160	45	(	(	PUNCT
cana-3103	160	46	9	9	NUM
cana-3103	160	47	)	)	PUNCT
cana-3103	160	48	canny	canny	ADJ
cana-3103	160	49	(	(	PUNCT
cana-3103	160	50	10	10	NUM
cana-3103	160	51	)	)	PUNCT
cana-3103	160	52	sobel	sobel	NOUN
cana-3103	160	53	(	(	PUNCT
cana-3103	160	54	11	11	NUM
cana-3103	160	55	)	)	PUNCT
cana-3103	160	56	rftm	rftm	ADJ
cana-3103	160	57	table	table	NOUN
cana-3103	160	58	2	2	NUM
cana-3103	160	59	demonstrates	demonstrate	VERB
cana-3103	160	60	that	that	SCONJ
cana-3103	160	61	the	the	DET
cana-3103	160	62	recommended	recommend	VERB
cana-3103	160	63	rftm	rftm	NOUN
cana-3103	160	64	outperforms	outperform	VERB
cana-3103	160	65	the	the	DET
cana-3103	160	66	other	other	ADJ
cana-3103	160	67	edge	edge	NOUN
cana-3103	160	68	detection	detection	NOUN
cana-3103	160	69	approaches	approach	NOUN
cana-3103	160	70	.	.	PUNCT
cana-3103	161	1	given	give	VERB
cana-3103	161	2	that	that	SCONJ
cana-3103	161	3	the	the	DET
cana-3103	161	4	recommended	recommend	VERB
cana-3103	161	5	technique	technique	NOUN
cana-3103	161	6	employs	employ	VERB
cana-3103	161	7	36	36	NUM
cana-3103	161	8	pixels	pixel	NOUN
cana-3103	161	9	,	,	PUNCT
cana-3103	161	10	the	the	DET
cana-3103	161	11	rftm	rftm	ADJ
cana-3103	161	12	procedure	procedure	NOUN
cana-3103	161	13	's	's	PART
cana-3103	161	14	edge	edge	NOUN
cana-3103	161	15	identification	identification	NOUN
cana-3103	161	16	and	and	CCONJ
cana-3103	161	17	curve	curve	NOUN
cana-3103	161	18	extraction	extraction	NOUN
cana-3103	161	19	durations	duration	NOUN
cana-3103	161	20	are	be	AUX
cana-3103	161	21	significantly	significantly	ADV
cana-3103	161	22	reduced	reduce	VERB
cana-3103	161	23	.	.	PUNCT
cana-3103	162	1	the	the	DET
cana-3103	162	2	data	datum	NOUN
cana-3103	162	3	described	describe	VERB
cana-3103	162	4	here	here	ADV
cana-3103	162	5	was	be	AUX
cana-3103	162	6	simulated	simulate	VERB
cana-3103	162	7	using	use	VERB
cana-3103	162	8	the	the	DET
cana-3103	162	9	tls	tls	PROPN
cana-3103	162	10	matlab	matlab	PROPN
cana-3103	162	11	toll	toll	NOUN
cana-3103	162	12	box	box	PROPN
cana-3103	162	13	.	.	PUNCT
cana-3103	163	1	depending	depend	VERB
cana-3103	163	2	on	on	ADP
cana-3103	163	3	the	the	DET
cana-3103	163	4	sample	sample	NOUN
cana-3103	163	5	size	size	NOUN
cana-3103	163	6	,	,	PUNCT
cana-3103	163	7	the	the	DET
cana-3103	163	8	data	data	NOUN
cana-3103	163	9	is	be	AUX
cana-3103	163	10	generated	generate	VERB
cana-3103	163	11	randomly	randomly	ADV
cana-3103	163	12	.	.	PUNCT
cana-3103	164	1	in	in	ADP
cana-3103	164	2	addition	addition	NOUN
cana-3103	164	3	,	,	PUNCT
cana-3103	164	4	2	2	NUM
cana-3103	164	5	%	%	NOUN
cana-3103	164	6	of	of	ADP
cana-3103	164	7	salt	salt	NOUN
cana-3103	164	8	and	and	CCONJ
cana-3103	164	9	pepper	pepper	NOUN
cana-3103	164	10	gaussian	gaussian	NOUN
cana-3103	164	11	noise	noise	NOUN
cana-3103	164	12	is	be	AUX
cana-3103	164	13	applied	apply	VERB
cana-3103	164	14	to	to	ADP
cana-3103	164	15	the	the	DET
cana-3103	164	16	image	image	NOUN
cana-3103	164	17	,	,	PUNCT
cana-3103	164	18	and	and	CCONJ
cana-3103	164	19	the	the	DET
cana-3103	164	20	toolbox	toolbox	NOUN
cana-3103	164	21	's	's	PART
cana-3103	164	22	threshold	threshold	NOUN
cana-3103	164	23	value	value	NOUN
cana-3103	164	24	is	be	AUX
cana-3103	164	25	set	set	VERB
cana-3103	164	26	to	to	ADP
cana-3103	164	27	two	two	NUM
cana-3103	164	28	.	.	PUNCT
cana-3103	165	1	(	(	PUNCT
cana-3103	165	2	0	0	NUM
cana-3103	165	3	)	)	PUNCT
cana-3103	165	4	(	(	PUNCT
cana-3103	165	5	1	1	X
cana-3103	165	6	)	)	PUNCT
cana-3103	165	7	(	(	PUNCT
cana-3103	165	8	2	2	X
cana-3103	165	9	)	)	PUNCT
cana-3103	165	10	image	image	NOUN
cana-3103	165	11	processing	processing	NOUN
cana-3103	165	12	time	time	NOUN
cana-3103	165	13	(	(	PUNCT
cana-3103	165	14	in	in	ADP
cana-3103	165	15	seconds	second	NOUN
cana-3103	165	16	)	)	PUNCT
cana-3103	165	17	1	1	NUM
cana-3103	165	18	2	2	NUM
cana-3103	165	19	3	3	NUM
cana-3103	165	20	4	4	NUM
cana-3103	165	21	5	5	NUM
cana-3103	165	22	6	6	NUM
cana-3103	165	23	7	7	NUM
cana-3103	165	24	8	8	NUM
cana-3103	165	25	9	9	NUM
cana-3103	165	26	10	10	NUM
cana-3103	165	27	11	11	NUM
cana-3103	165	28	wall	wall	NOUN
cana-3103	165	29	image	image	NOUN
cana-3103	165	30	0.514	0.514	NUM
cana-3103	165	31	0.494	0.494	NUM
cana-3103	165	32	0.475	0.475	NUM
cana-3103	165	33	0.383	0.383	NUM
cana-3103	165	34	0.366	0.366	NUM
cana-3103	165	35	0.355	0.355	NUM
cana-3103	165	36	0.331	0.331	NUM
cana-3103	165	37	0.279	0.279	NUM
cana-3103	165	38	0.265	0.265	NUM
cana-3103	165	39	0.254	0.254	NUM
cana-3103	165	40	0.241	0.241	NUM
cana-3103	165	41	bacteria	bacteria	NOUN
cana-3103	165	42	image	image	NOUN
cana-3103	165	43	0.888	0.888	NUM
cana-3103	165	44	0.776	0.776	NUM
cana-3103	165	45	0.610	0.610	NUM
cana-3103	165	46	0.559	0.559	NUM
cana-3103	165	47	0.531	0.531	NUM
cana-3103	165	48	0.500	0.500	NUM
cana-3103	165	49	0.462	0.462	NUM
cana-3103	165	50	0.433	0.433	NUM
cana-3103	165	51	0.411	0.411	NUM
cana-3103	165	52	0.387	0.387	NUM
cana-3103	165	53	0.311	0.311	NUM
cana-3103	165	54	communications	communication	NOUN
cana-3103	165	55	on	on	ADP
cana-3103	165	56	applied	apply	VERB
cana-3103	165	57	nonlinear	nonlinear	ADJ
cana-3103	165	58	analysis	analysis	NOUN
cana-3103	165	59	issn	issn	NOUN
cana-3103	165	60	:	:	PUNCT
cana-3103	165	61	1074	1074	NUM
cana-3103	165	62	-	-	PUNCT
cana-3103	165	63	133x	133x	NUM
cana-3103	165	64	vol	vol	NOUN
cana-3103	165	65	32	32	NUM
cana-3103	165	66	no	no	NOUN
cana-3103	165	67	.	.	PUNCT
cana-3103	166	1	5s	5s	NUM
cana-3103	166	2	(	(	PUNCT
cana-3103	166	3	2025	2025	NUM
cana-3103	166	4	)	)	PUNCT
cana-3103	166	5	333	333	NUM
cana-3103	166	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	166	7	(	(	PUNCT
cana-3103	166	8	3	3	NUM
cana-3103	166	9	)	)	PUNCT
cana-3103	166	10	(	(	PUNCT
cana-3103	166	11	4	4	NUM
cana-3103	166	12	)	)	PUNCT
cana-3103	166	13	(	(	PUNCT
cana-3103	166	14	5	5	NUM
cana-3103	166	15	)	)	PUNCT
cana-3103	166	16	(	(	PUNCT
cana-3103	166	17	6	6	NUM
cana-3103	166	18	)	)	PUNCT
cana-3103	166	19	(	(	PUNCT
cana-3103	166	20	7	7	NUM
cana-3103	166	21	)	)	PUNCT
cana-3103	166	22	(	(	PUNCT
cana-3103	166	23	8)	8)	NUM
cana-3103	166	24	(	(	PUNCT
cana-3103	166	25	9	9	NUM
cana-3103	166	26	)	)	PUNCT
cana-3103	166	27	(	(	PUNCT
cana-3103	166	28	10	10	NUM
cana-3103	166	29	)	)	PUNCT
cana-3103	166	30	(	(	PUNCT
cana-3103	166	31	11	11	NUM
cana-3103	166	32	)	)	PUNCT
cana-3103	166	33	(	(	PUNCT
cana-3103	166	34	0	0	NUM
cana-3103	166	35	)	)	PUNCT
cana-3103	166	36	(	(	PUNCT
cana-3103	166	37	1	1	X
cana-3103	166	38	)	)	PUNCT
cana-3103	166	39	(	(	PUNCT
cana-3103	166	40	2	2	X
cana-3103	166	41	)	)	PUNCT
cana-3103	166	42	communications	communication	NOUN
cana-3103	166	43	on	on	ADP
cana-3103	166	44	applied	apply	VERB
cana-3103	166	45	nonlinear	nonlinear	ADJ
cana-3103	166	46	analysis	analysis	NOUN
cana-3103	166	47	issn	issn	NOUN
cana-3103	166	48	:	:	PUNCT
cana-3103	166	49	1074	1074	NUM
cana-3103	166	50	-	-	PUNCT
cana-3103	166	51	133x	133x	NUM
cana-3103	166	52	vol	vol	NOUN
cana-3103	166	53	32	32	NUM
cana-3103	166	54	no	no	NOUN
cana-3103	166	55	.	.	PUNCT
cana-3103	167	1	5s	5s	NUM
cana-3103	167	2	(	(	PUNCT
cana-3103	167	3	2025	2025	NUM
cana-3103	167	4	)	)	PUNCT
cana-3103	167	5	334	334	NUM
cana-3103	167	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3103	167	7	(	(	PUNCT
cana-3103	167	8	3	3	NUM
cana-3103	167	9	)	)	PUNCT
cana-3103	167	10	(	(	PUNCT
cana-3103	167	11	4	4	NUM
cana-3103	167	12	)	)	PUNCT
cana-3103	167	13	(	(	PUNCT
cana-3103	167	14	5	5	NUM
cana-3103	167	15	)	)	PUNCT
cana-3103	167	16	(	(	PUNCT
cana-3103	167	17	6	6	NUM
cana-3103	167	18	)	)	PUNCT
cana-3103	167	19	(	(	PUNCT
cana-3103	167	20	7	7	NUM
cana-3103	167	21	)	)	PUNCT
cana-3103	167	22	(	(	PUNCT
cana-3103	167	23	8)	8)	NUM
cana-3103	167	24	(	(	PUNCT
cana-3103	167	25	9	9	NUM
cana-3103	167	26	)	)	PUNCT
cana-3103	167	27	(	(	PUNCT
cana-3103	167	28	10	10	NUM
cana-3103	167	29	)	)	PUNCT
cana-3103	167	30	(	(	PUNCT
cana-3103	167	31	11	11	NUM
cana-3103	167	32	)	)	PUNCT
cana-3103	167	33	figure	figure	NOUN
cana-3103	167	34	1.1	1.1	NUM
cana-3103	167	35	:	:	PUNCT
cana-3103	167	36	edge	edge	NOUN
cana-3103	167	37	detectedfor	detectedfor	ADP
cana-3103	167	38	(	(	PUNCT
cana-3103	167	39	0	0	NUM
cana-3103	167	40	)	)	PUNCT
cana-3103	167	41	original	original	ADJ
cana-3103	167	42	image	image	NOUN
cana-3103	167	43	,	,	PUNCT
cana-3103	167	44	(	(	PUNCT
cana-3103	167	45	1	1	X
cana-3103	167	46	)	)	PUNCT
cana-3103	167	47	wang	wang	PROPN
cana-3103	167	48	brady	brady	PROPN
cana-3103	167	49	,	,	PUNCT
cana-3103	167	50	(	(	PUNCT
cana-3103	167	51	2	2	X
cana-3103	167	52	)	)	PUNCT
cana-3103	167	53	trajkovic	trajkovic	ADJ
cana-3103	167	54	hedley	hedley	NOUN
cana-3103	167	55	,	,	PUNCT
cana-3103	167	56	(	(	PUNCT
cana-3103	167	57	3	3	X
cana-3103	167	58	)	)	PUNCT
cana-3103	167	59	robert	robert	NOUN
cana-3103	167	60	,	,	PUNCT
cana-3103	167	61	(	(	PUNCT
cana-3103	167	62	4	4	X
cana-3103	167	63	)	)	PUNCT
cana-3103	167	64	prewitt	prewitt	PROPN
cana-3103	167	65	,	,	PUNCT
cana-3103	167	66	(	(	PUNCT
cana-3103	167	67	5	5	X
cana-3103	167	68	)	)	PUNCT
cana-3103	167	69	harris	harris	NOUN
cana-3103	167	70	,	,	PUNCT
cana-3103	167	71	(	(	PUNCT
cana-3103	167	72	6	6	X
cana-3103	167	73	)	)	PUNCT
cana-3103	167	74	susan	susan	PROPN
cana-3103	167	75	,	,	PUNCT
cana-3103	167	76	(	(	PUNCT
cana-3103	167	77	7	7	X
cana-3103	167	78	)	)	PUNCT
cana-3103	167	79	log	log	NOUN
cana-3103	167	80	,	,	PUNCT
cana-3103	167	81	(	(	PUNCT
cana-3103	167	82	8)	8)	NUM
cana-3103	167	83	zero	zero	NUM
cana-3103	167	84	crossing	crossing	NOUN
cana-3103	167	85	,	,	PUNCT
cana-3103	167	86	(	(	PUNCT
cana-3103	167	87	9	9	X
cana-3103	167	88	)	)	PUNCT
cana-3103	167	89	canny	canny	ADJ
cana-3103	167	90	,	,	PUNCT
cana-3103	167	91	(	(	PUNCT
cana-3103	167	92	10	10	NUM
cana-3103	167	93	)	)	PUNCT
cana-3103	167	94	sobel	sobel	NOUN
cana-3103	167	95	,	,	PUNCT
cana-3103	167	96	(	(	PUNCT
cana-3103	167	97	11	11	NUM
cana-3103	167	98	)	)	PUNCT
cana-3103	167	99	rftm	rftm	NOUN
cana-3103	167	100	refrences	refrence	NOUN
cana-3103	168	1	[	[	X
cana-3103	168	2	1	1	X
cana-3103	168	3	]	]	PUNCT
cana-3103	168	4	m	m	AUX
cana-3103	168	5	arockiaraj	arockiaraj	VERB
cana-3103	168	6	,	,	PUNCT
cana-3103	168	7	j	j	PROPN
cana-3103	168	8	clement	clement	PROPN
cana-3103	168	9	,	,	PUNCT
cana-3103	168	10	and	and	CCONJ
cana-3103	168	11	k	k	PROPN
cana-3103	168	12	balasubramanian	balasubramanian	PROPN
cana-3103	168	13	.	.	PUNCT
cana-3103	169	1	topological	topological	ADJ
cana-3103	169	2	indices	index	NOUN
cana-3103	169	3	and	and	CCONJ
cana-3103	169	4	their	their	PRON
cana-3103	169	5	applications	application	NOUN
cana-3103	169	6	to	to	ADP
cana-3103	169	7	circumcised	circumcise	VERB
cana-3103	169	8	donut	donut	NOUN
cana-3103	169	9	benzenoid	benzenoid	NOUN
cana-3103	169	10	systems	system	NOUN
cana-3103	169	11	,	,	PUNCT
cana-3103	169	12	keku	keku	PROPN
cana-3103	169	13	lenes	lenis	NOUN
cana-3103	169	14	and	and	CCONJ
cana-3103	169	15	drugs	drug	NOUN
cana-3103	169	16	.	.	PUNCT
cana-3103	170	1	polycyclic	polycyclic	ADJ
cana-3103	170	2	aromatic	aromatic	ADJ
cana-3103	170	3	compounds	compound	NOUN
cana-3103	170	4	,	,	PUNCT
cana-3103	170	5	40(2):280–303	40(2):280–303	NUM
cana-3103	170	6	,	,	PUNCT
cana-3103	170	7	2020	2020	NUM
cana-3103	170	8	.	.	PUNCT
cana-3103	171	1	[	[	X
cana-3103	171	2	2	2	NUM
cana-3103	171	3	]	]	PUNCT
cana-3103	171	4	m	m	AUX
cana-3103	171	5	arockiaraj	arockiaraj	VERB
cana-3103	171	6	,	,	PUNCT
cana-3103	171	7	j	j	PROPN
cana-3103	171	8	clement	clement	PROPN
cana-3103	171	9	,	,	PUNCT
cana-3103	171	10	and	and	CCONJ
cana-3103	171	11	n	n	PRON
cana-3103	171	12	tratnik	tratnik	NOUN
cana-3103	171	13	.	.	PUNCT
cana-3103	172	1	mostar	mostar	PROPN
cana-3103	172	2	indices	index	NOUN
cana-3103	172	3	of	of	ADP
cana-3103	172	4	carbon	carbon	NOUN
cana-3103	172	5	nanostructures	nanostructure	NOUN
cana-3103	172	6	and	and	CCONJ
cana-3103	172	7	circumscribed	circumscribed	ADJ
cana-3103	172	8	donut	donut	NOUN
cana-3103	172	9	benzenoid	benzenoid	NOUN
cana-3103	172	10	systems	system	NOUN
cana-3103	172	11	.	.	PUNCT
cana-3103	173	1	international	international	ADJ
cana-3103	173	2	journal	journal	NOUN
cana-3103	173	3	of	of	ADP
cana-3103	173	4	quantum	quantum	ADJ
cana-3103	173	5	chemistry	chemistry	NOUN
cana-3103	173	6	,	,	PUNCT
cana-3103	173	7	119(24):e26043	119(24):e26043	NUM
cana-3103	173	8	,	,	PUNCT
cana-3103	173	9	2019	2019	NUM
cana-3103	173	10	.	.	PUNCT
cana-3103	174	1	[	[	X
cana-3103	174	2	3	3	X
cana-3103	174	3	]	]	X
cana-3103	174	4	j	j	PROPN
cana-3103	174	5	a	a	DET
cana-3103	174	6	bondy	bondy	PROPN
cana-3103	174	7	,	,	PUNCT
cana-3103	174	8	u	u	PROPN
cana-3103	174	9	s	s	NOUN
cana-3103	174	10	r	r	NOUN
cana-3103	174	11	murty	murty	NOUN
cana-3103	174	12	,	,	PUNCT
cana-3103	175	1	et	et	PROPN
cana-3103	175	2	al	al	PROPN
cana-3103	175	3	.	.	PROPN
cana-3103	176	1	graph	graph	NOUN
cana-3103	176	2	theory	theory	NOUN
cana-3103	176	3	with	with	ADP
cana-3103	176	4	applications	application	NOUN
cana-3103	176	5	,	,	PUNCT
cana-3103	176	6	volume	volume	NOUN
cana-3103	176	7	290	290	NUM
cana-3103	176	8	.	.	PUNCT
cana-3103	177	1	macmillan	macmillan	PROPN
cana-3103	177	2	london	london	PROPN
cana-3103	177	3	,	,	PUNCT
cana-3103	177	4	1976	1976	NUM
cana-3103	177	5	.	.	PUNCT
cana-3103	178	1	[	[	X
cana-3103	178	2	4	4	NUM
cana-3103	178	3	]	]	X
cana-3103	178	4	estrada	estrada	PROPN
cana-3103	178	5	,	,	PUNCT
cana-3103	178	6	e.	e.	PROPN
cana-3103	178	7	,	,	PUNCT
cana-3103	178	8	&	&	CCONJ
cana-3103	178	9	rodriguez	rodriguez	PROPN
cana-3103	178	10	-	-	PUNCT
cana-3103	178	11	velazquez	velazquez	PROPN
cana-3103	178	12	,	,	PUNCT
cana-3103	178	13	j.	j.	PROPN
cana-3103	178	14	a.	a.	PROPN
cana-3103	178	15	(	(	PUNCT
cana-3103	178	16	2005	2005	NUM
cana-3103	178	17	)	)	PUNCT
cana-3103	178	18	.	.	PUNCT
cana-3103	179	1	"	"	PUNCT
cana-3103	179	2	subgraph	subgraph	NOUN
cana-3103	179	3	centrality	centrality	NOUN
cana-3103	179	4	and	and	CCONJ
cana-3103	179	5	clustering	cluster	VERB
cana-3103	179	6	in	in	ADP
cana-3103	179	7	complex	complex	ADJ
cana-3103	179	8	hyper	hyper	NOUN
cana-3103	179	9	-	-	NOUN
cana-3103	179	10	networks	network	NOUN
cana-3103	179	11	.	.	PUNCT
cana-3103	179	12	"	"	PUNCT
cana-3103	180	1	physical	physical	ADJ
cana-3103	180	2	review	review	NOUN
cana-3103	180	3	e	e	NOUN
cana-3103	180	4	,	,	PUNCT
cana-3103	180	5	71(5	71(5	NUM
cana-3103	180	6	)	)	PUNCT
cana-3103	180	7	,	,	PUNCT
cana-3103	180	8	056103	056103	NUM
cana-3103	180	9	.	.	PUNCT
cana-3103	181	1	[	[	X
cana-3103	181	2	5	5	NUM
cana-3103	181	3	]	]	X
cana-3103	181	4	gutman	gutman	NOUN
cana-3103	181	5	,	,	PUNCT
cana-3103	181	6	i.	i.	PROPN
cana-3103	181	7	,	,	PUNCT
cana-3103	181	8	&	&	CCONJ
cana-3103	181	9	polansky	polansky	PROPN
cana-3103	181	10	,	,	PUNCT
cana-3103	181	11	o.	o.	PROPN
cana-3103	181	12	e.	e.	PROPN
cana-3103	181	13	(	(	PUNCT
cana-3103	181	14	1986	1986	NUM
cana-3103	181	15	)	)	PUNCT
cana-3103	181	16	.	.	PUNCT
cana-3103	182	1	mathematical	mathematical	ADJ
cana-3103	182	2	concepts	concept	NOUN
cana-3103	182	3	in	in	ADP
cana-3103	182	4	organic	organic	ADJ
cana-3103	182	5	chemistry	chemistry	NOUN
cana-3103	182	6	.	.	PUNCT
cana-3103	183	1	springer	springer	NOUN
cana-3103	183	2	.	.	PUNCT
cana-3103	184	1	[	[	X
cana-3103	184	2	6	6	NUM
cana-3103	184	3	]	]	PUNCT
cana-3103	184	4	trinajstić	trinajstić	NOUN
cana-3103	184	5	,	,	PUNCT
cana-3103	184	6	n.	n.	PROPN
cana-3103	184	7	(	(	PUNCT
cana-3103	184	8	1992	1992	NUM
cana-3103	184	9	)	)	PUNCT
cana-3103	184	10	.	.	PUNCT
cana-3103	185	1	chemical	chemical	NOUN
cana-3103	185	2	graph	graph	NOUN
cana-3103	185	3	theory	theory	NOUN
cana-3103	185	4	.	.	PUNCT
cana-3103	186	1	crc	crc	PROPN
cana-3103	186	2	press	press	PROPN
cana-3103	186	3	.	.	PUNCT
cana-3103	187	1	[	[	X
cana-3103	187	2	7	7	NUM
cana-3103	187	3	]	]	X
cana-3103	187	4	balaban	balaban	NOUN
cana-3103	187	5	,	,	PUNCT
cana-3103	187	6	a.	a.	NOUN
cana-3103	187	7	t.	t.	PROPN
cana-3103	187	8	(	(	PUNCT
cana-3103	187	9	1983	1983	NUM
cana-3103	187	10	)	)	PUNCT
cana-3103	187	11	.	.	PUNCT
cana-3103	188	1	"	"	PUNCT
cana-3103	188	2	applications	application	NOUN
cana-3103	188	3	of	of	ADP
cana-3103	188	4	graph	graph	NOUN
cana-3103	188	5	theory	theory	NOUN
cana-3103	188	6	in	in	ADP
cana-3103	188	7	chemistry	chemistry	NOUN
cana-3103	188	8	.	.	PUNCT
cana-3103	188	9	"	"	PUNCT
cana-3103	189	1	journal	journal	NOUN
cana-3103	189	2	of	of	ADP
cana-3103	189	3	chemical	chemical	ADJ
cana-3103	189	4	information	information	NOUN
cana-3103	189	5	and	and	CCONJ
cana-3103	189	6	computer	computer	NOUN
cana-3103	189	7	sciences	science	NOUN
cana-3103	189	8	,	,	PUNCT
cana-3103	189	9	23(3	23(3	NUM
cana-3103	189	10	)	)	PUNCT
cana-3103	189	11	,	,	PUNCT
cana-3103	189	12	165	165	NUM
cana-3103	189	13	-	-	SYM
cana-3103	189	14	175	175	NUM
cana-3103	189	15	.	.	PUNCT
cana-3103	190	1	[	[	X
cana-3103	190	2	8	8	NUM
cana-3103	190	3	]	]	PUNCT
cana-3103	190	4	randić	randić	NOUN
cana-3103	190	5	,	,	PUNCT
cana-3103	190	6	m.	m.	NOUN
cana-3103	190	7	(	(	PUNCT
cana-3103	190	8	1975	1975	NUM
cana-3103	190	9	)	)	PUNCT
cana-3103	190	10	.	.	PUNCT
cana-3103	191	1	"	"	PUNCT
cana-3103	191	2	on	on	ADP
cana-3103	191	3	characterization	characterization	NOUN
cana-3103	191	4	of	of	ADP
cana-3103	191	5	molecular	molecular	ADJ
cana-3103	191	6	branching	branching	NOUN
cana-3103	191	7	.	.	PUNCT
cana-3103	191	8	"	"	PUNCT
cana-3103	191	9	journal	journal	NOUN
cana-3103	191	10	of	of	ADP
cana-3103	191	11	the	the	DET
cana-3103	191	12	american	american	PROPN
cana-3103	191	13	chemical	chemical	PROPN
cana-3103	191	14	society	society	NOUN
cana-3103	191	15	,	,	PUNCT
cana-3103	191	16	97(23	97(23	NOUN
cana-3103	191	17	)	)	PUNCT
cana-3103	191	18	,	,	PUNCT
cana-3103	191	19	6609	6609	NUM
cana-3103	191	20	-	-	SYM
cana-3103	191	21	6615	6615	NUM
cana-3103	191	22	.	.	PUNCT
cana-3103	192	1	[	[	X
cana-3103	192	2	9	9	NUM
cana-3103	192	3	]	]	SYM
cana-3103	192	4	muthukrishnan	muthukrishnan	NOUN
cana-3103	192	5	,	,	PUNCT
cana-3103	192	6	r	r	NOUN
cana-3103	192	7	and	and	CCONJ
cana-3103	192	8	ravi	ravi	PROPN
cana-3103	192	9	,	,	PUNCT
cana-3103	192	10	j	j	PROPN
cana-3103	192	11	(	(	PUNCT
cana-3103	192	12	2015	2015	NUM
cana-3103	192	13	)	)	PUNCT
cana-3103	192	14	,	,	PUNCT
cana-3103	192	15	image	image	NOUN
cana-3103	192	16	type	type	NOUN
cana-3103	192	17	-	-	PUNCT
cana-3103	192	18	based	base	VERB
cana-3103	192	19	assessment	assessment	NOUN
cana-3103	192	20	of	of	ADP
cana-3103	192	21	sift	sift	ADJ
cana-3103	192	22	and	and	CCONJ
cana-3103	192	23	fast	fast	ADJ
cana-3103	192	24	algorithms	algorithm	NOUN
cana-3103	192	25	,	,	PUNCT
cana-3103	192	26	international	international	ADJ
cana-3103	192	27	journal	journal	NOUN
cana-3103	192	28	of	of	ADP
cana-3103	192	29	signal	signal	PROPN
cana-3103	192	30	processing	processing	NOUN
cana-3103	192	31	,	,	PUNCT
cana-3103	192	32	image	image	NOUN
cana-3103	192	33	processing	processing	NOUN
cana-3103	192	34	and	and	CCONJ
cana-3103	192	35	pattern	pattern	NOUN
cana-3103	192	36	recognition	recognition	NOUN
cana-3103	192	37	,	,	PUNCT
cana-3103	192	38	8(3	8(3	NUM
cana-3103	192	39	)	)	PUNCT
cana-3103	192	40	,	,	PUNCT
cana-3103	192	41	211	211	NUM
cana-3103	192	42	-	-	SYM
cana-3103	192	43	216	216	NUM
cana-3103	192	44	.	.	PUNCT
cana-3103	193	1	[	[	X
cana-3103	193	2	10	10	NUM
cana-3103	193	3	]	]	X
cana-3103	193	4	dobrynin	dobrynin	PROPN
cana-3103	193	5	,	,	PUNCT
cana-3103	193	6	a.	a.	NOUN
cana-3103	193	7	a.	a.	PROPN
cana-3103	193	8	,	,	PUNCT
cana-3103	193	9	entringer	entringer	NOUN
cana-3103	193	10	,	,	PUNCT
cana-3103	193	11	r.	r.	PROPN
cana-3103	193	12	,	,	PUNCT
cana-3103	193	13	&	&	CCONJ
cana-3103	193	14	gutman	gutman	PROPN
cana-3103	193	15	,	,	PUNCT
cana-3103	193	16	i.	i.	PROPN
cana-3103	193	17	(	(	PUNCT
cana-3103	193	18	2001	2001	NUM
cana-3103	193	19	)	)	PUNCT
cana-3103	193	20	.	.	PUNCT
cana-3103	194	1	"	"	PUNCT
cana-3103	194	2	wiener	wiener	NOUN
cana-3103	194	3	index	index	NOUN
cana-3103	194	4	of	of	ADP
cana-3103	194	5	trees	tree	NOUN
cana-3103	194	6	:	:	PUNCT
cana-3103	194	7	theory	theory	NOUN
cana-3103	194	8	and	and	CCONJ
cana-3103	194	9	applications	application	NOUN
cana-3103	194	10	.	.	PUNCT
cana-3103	194	11	"	"	PUNCT
cana-3103	195	1	acta	acta	PROPN
cana-3103	195	2	applicandaemathematicae	applicandaemathematicae	PROPN
cana-3103	195	3	,	,	PUNCT
cana-3103	195	4	66(3	66(3	NOUN
cana-3103	195	5	)	)	PUNCT
cana-3103	195	6	,	,	PUNCT
cana-3103	195	7	211	211	NUM
cana-3103	195	8	-	-	SYM
cana-3103	195	9	249	249	NUM
cana-3103	195	10	.	.	PUNCT
cana-3103	196	1	[	[	X
cana-3103	196	2	11	11	NUM
cana-3103	196	3	]	]	PUNCT
cana-3103	196	4	diudea	diudea	NOUN
cana-3103	196	5	,	,	PUNCT
cana-3103	196	6	m.	m.	NOUN
cana-3103	196	7	v.	v.	PROPN
cana-3103	196	8	(	(	PUNCT
cana-3103	196	9	2001	2001	NUM
cana-3103	196	10	)	)	PUNCT
cana-3103	196	11	.	.	PUNCT
cana-3103	197	1	qspr	qspr	PROPN
cana-3103	197	2	/	/	SYM
cana-3103	197	3	qsar	qsar	NOUN
cana-3103	197	4	studies	study	NOUN
cana-3103	197	5	by	by	ADP
cana-3103	197	6	molecular	molecular	ADJ
cana-3103	197	7	descriptors	descriptor	NOUN
cana-3103	197	8	.	.	PUNCT
cana-3103	198	1	nova	nova	PROPN
cana-3103	198	2	science	science	NOUN
cana-3103	198	3	publishers	publisher	NOUN
cana-3103	198	4	.	.	PUNCT
cana-3103	199	1	[	[	X
cana-3103	199	2	12	12	NUM
cana-3103	199	3	]	]	X
cana-3103	199	4	estrada	estrada	PROPN
cana-3103	199	5	,	,	PUNCT
cana-3103	199	6	e.	e.	PROPN
cana-3103	199	7	,	,	PUNCT
cana-3103	199	8	&	&	CCONJ
cana-3103	199	9	gutman	gutman	PROPN
cana-3103	199	10	,	,	PUNCT
cana-3103	199	11	i.	i.	PROPN
cana-3103	199	12	(	(	PUNCT
cana-3103	199	13	1996	1996	NUM
cana-3103	199	14	)	)	PUNCT
cana-3103	199	15	.	.	PUNCT
cana-3103	200	1	"	"	PUNCT
cana-3103	200	2	topological	topological	ADJ
cana-3103	200	3	indices	index	NOUN
cana-3103	200	4	based	base	VERB
cana-3103	200	5	on	on	ADP
cana-3103	200	6	the	the	DET
cana-3103	200	7	line	line	NOUN
cana-3103	200	8	graph	graph	NOUN
cana-3103	200	9	of	of	ADP
cana-3103	200	10	the	the	DET
cana-3103	200	11	molecular	molecular	ADJ
cana-3103	200	12	graph	graph	NOUN
cana-3103	200	13	.	.	PUNCT
cana-3103	200	14	"	"	PUNCT
cana-3103	201	1	journal	journal	NOUN
cana-3103	201	2	of	of	ADP
cana-3103	201	3	chemical	chemical	ADJ
cana-3103	201	4	information	information	NOUN
cana-3103	201	5	and	and	CCONJ
cana-3103	201	6	computer	computer	NOUN
cana-3103	201	7	sciences	science	NOUN
cana-3103	201	8	,	,	PUNCT
cana-3103	201	9	36(4	36(4	NUM
cana-3103	201	10	)	)	PUNCT
cana-3103	201	11	,	,	PUNCT
cana-3103	201	12	598	598	NUM
cana-3103	201	13	-	-	SYM
cana-3103	201	14	603	603	NUM
cana-3103	201	15	.	.	PUNCT
cana-3103	202	1	[	[	X
cana-3103	202	2	13	13	NUM
cana-3103	202	3	]	]	X
cana-3103	202	4	hansen	hansen	PROPN
cana-3103	202	5	,	,	PUNCT
cana-3103	202	6	p.	p.	PROPN
cana-3103	202	7	,	,	PUNCT
cana-3103	202	8	&	&	CCONJ
cana-3103	202	9	mélot	mélot	PROPN
cana-3103	202	10	,	,	PUNCT
cana-3103	202	11	h.	h.	PROPN
cana-3103	202	12	(	(	PUNCT
cana-3103	202	13	1999	1999	NUM
cana-3103	202	14	)	)	PUNCT
cana-3103	202	15	.	.	PUNCT
cana-3103	203	1	"	"	PUNCT
cana-3103	203	2	variable	variable	ADJ
cana-3103	203	3	neighborhood	neighborhood	NOUN
cana-3103	203	4	search	search	NOUN
cana-3103	203	5	for	for	ADP
cana-3103	203	6	extremal	extremal	ADJ
cana-3103	203	7	graphs	graph	NOUN
cana-3103	203	8	.	.	PUNCT
cana-3103	204	1	6	6	X
cana-3103	204	2	.	.	X
cana-3103	204	3	analyzing	analyze	VERB
cana-3103	204	4	bounds	bound	NOUN
cana-3103	204	5	for	for	ADP
cana-3103	204	6	the	the	DET
cana-3103	204	7	connectivity	connectivity	NOUN
cana-3103	204	8	index	index	NOUN
cana-3103	204	9	.	.	PUNCT
cana-3103	204	10	"	"	PUNCT
cana-3103	205	1	journal	journal	NOUN
cana-3103	205	2	of	of	ADP
cana-3103	205	3	chemical	chemical	ADJ
cana-3103	205	4	information	information	NOUN
cana-3103	205	5	and	and	CCONJ
cana-3103	205	6	computer	computer	NOUN
cana-3103	205	7	sciences	science	NOUN
cana-3103	205	8	,	,	PUNCT
cana-3103	205	9	39(6	39(6	NUM
cana-3103	205	10	)	)	PUNCT
cana-3103	205	11	,	,	PUNCT
cana-3103	205	12	1163	1163	NUM
cana-3103	205	13	-	-	SYM
cana-3103	205	14	1169	1169	NUM
cana-3103	205	15	.	.	PUNCT
cana-3103	206	1	[	[	X
cana-3103	206	2	14	14	NUM
cana-3103	206	3	]	]	PUNCT
cana-3103	206	4	s.mohan	s.mohan	PRON
cana-3103	206	5	kumar	kumar	PROPN
cana-3103	206	6	,	,	PUNCT
cana-3103	206	7	venkatesh	venkatesh	PROPN
cana-3103	206	8	a(2017	a(2017	PROPN
cana-3103	206	9	)	)	PUNCT
cana-3103	206	10	.“step	.“step	NUM
cana-3103	206	11	–	–	PUNCT
cana-3103	206	12	stress	stress	NOUN
cana-3103	206	13	and	and	CCONJ
cana-3103	206	14	truncated	truncated	ADJ
cana-3103	206	15	acceptance	acceptance	NOUN
cana-3103	206	16	sampling	sample	VERB
cana-3103	206	17	plan	plan	NOUN
cana-3103	206	18	model	model	NOUN
cana-3103	206	19	for	for	ADP
cana-3103	206	20	the	the	DET
cana-3103	206	21	analysis	analysis	NOUN
cana-3103	206	22	of	of	ADP
cana-3103	206	23	vasopressin	vasopressin	NOUN
cana-3103	206	24	”	"	PUNCT
cana-3103	206	25	,	,	PUNCT
cana-3103	206	26	international	international	ADJ
cana-3103	206	27	journal	journal	NOUN
cana-3103	206	28	of	of	ADP
cana-3103	206	29	pure	pure	ADJ
cana-3103	206	30	and	and	CCONJ
cana-3103	206	31	applied	applied	ADJ
cana-3103	206	32	mathematics	mathematic	NOUN
cana-3103	206	33	,	,	PUNCT
cana-3103	206	34	117(6	117(6	NUM
cana-3103	206	35	)	)	PUNCT
cana-3103	206	36	,	,	PUNCT
cana-3103	206	37	107	107	NUM
cana-3103	206	38	-114	-114	NUM
cana-3103	206	39	.	.	PUNCT
cana-3103	207	1	[	[	X
cana-3103	207	2	15	15	NUM
cana-3103	207	3	]	]	X
cana-3103	207	4	r.karthikeyan	r.karthikeyan	ADJ
cana-3103	207	5	,	,	PUNCT
cana-3103	207	6	s.mohan	s.mohan	PROPN
cana-3103	207	7	kumar	kumar	PROPN
cana-3103	207	8	et.al	et.al	PROPN
cana-3103	207	9	.	.	PUNCT
cana-3103	207	10	,(2025	,(2025	PUNCT
cana-3103	207	11	)	)	PUNCT
cana-3103	207	12	,	,	PUNCT
cana-3103	207	13	“	"	PUNCT
cana-3103	207	14	viscous	viscous	ADJ
cana-3103	207	15	dissipation	dissipation	NOUN
cana-3103	207	16	effects	effect	NOUN
cana-3103	207	17	on	on	ADP
cana-3103	207	18	mhd	mhd	NOUN
cana-3103	207	19	free	free	ADJ
cana-3103	207	20	convective	convective	ADJ
cana-3103	207	21	effects	effect	NOUN
cana-3103	207	22	of	of	ADP
cana-3103	207	23	unsteady	unsteady	ADJ
cana-3103	207	24	flow	flow	NOUN
cana-3103	207	25	over	over	ADP
cana-3103	207	26	a	a	DET
cana-3103	207	27	vertical	vertical	ADJ
cana-3103	207	28	porous	porous	ADJ
cana-3103	207	29	plate	plate	NOUN
cana-3103	207	30	with	with	ADP
cana-3103	207	31	effects	effect	NOUN
cana-3103	207	32	of	of	ADP
cana-3103	207	33	radiation	radiation	NOUN
cana-3103	207	34	”	"	PUNCT
cana-3103	207	35	.	.	PUNCT