id	sid	tid	token	lemma	pos
cana-2013	1	1	communications	communication	NOUN
cana-2013	1	2	on	on	ADP
cana-2013	1	3	applied	apply	VERB
cana-2013	1	4	nonlinear	nonlinear	ADJ
cana-2013	1	5	analysis	analysis	NOUN
cana-2013	1	6	issn	issn	NOUN
cana-2013	1	7	:	:	PUNCT
cana-2013	1	8	1074	1074	NUM
cana-2013	1	9	-	-	PUNCT
cana-2013	1	10	133x	133x	NUM
cana-2013	1	11	vol	vol	NOUN
cana-2013	1	12	32	32	NUM
cana-2013	1	13	no	no	NOUN
cana-2013	1	14	.	.	NOUN
cana-2013	1	15	3	3	NUM
cana-2013	1	16	(	(	PUNCT
cana-2013	1	17	2025	2025	NUM
cana-2013	1	18	)	)	PUNCT
cana-2013	1	19	525	525	NUM
cana-2013	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	1	21	analysis	analysis	NOUN
cana-2013	1	22	of	of	ADP
cana-2013	1	23	graph	graph	NOUN
cana-2013	1	24	inverses	inverse	NOUN
cana-2013	1	25	and	and	CCONJ
cana-2013	1	26	algebraic	algebraic	ADJ
cana-2013	1	27	connectivity	connectivity	NOUN
cana-2013	1	28	in	in	ADP
cana-2013	1	29	a	a	DET
cana-2013	1	30	systematic	systematic	ADJ
cana-2013	1	31	way	way	NOUN
cana-2013	1	32	dr	dr	PROPN
cana-2013	1	33	.	.	PROPN
cana-2013	1	34	r.	r.	PROPN
cana-2013	1	35	stella	stella	PROPN
cana-2013	1	36	maragatham1	maragatham1	PROPN
cana-2013	2	1	*	*	PROPN
cana-2013	2	2	,	,	PUNCT
cana-2013	2	3	dr	dr	PROPN
cana-2013	2	4	.	.	PROPN
cana-2013	2	5	b.	b.	PROPN
cana-2013	2	6	pardha	pardha	PROPN
cana-2013	2	7	saradhi2	saradhi2	PROPN
cana-2013	2	8	,	,	PUNCT
cana-2013	2	9	dr	dr	PROPN
cana-2013	2	10	.	.	PROPN
cana-2013	2	11	p.	p.	PROPN
cana-2013	2	12	aparna3	aparna3	PROPN
cana-2013	2	13	,	,	PUNCT
cana-2013	2	14	mr	mr	PROPN
cana-2013	2	15	.	.	PROPN
cana-2013	2	16	saji	saji	PROPN
cana-2013	2	17	krishna	krishna	PROPN
cana-2013	2	18	pillai4	pillai4	PROPN
cana-2013	2	19	,	,	PUNCT
cana-2013	2	20	dr	dr	PROPN
cana-2013	2	21	.	.	PROPN
cana-2013	3	1	p.	p.	PROPN
cana-2013	3	2	hema5	hema5	PROPN
cana-2013	3	3	,	,	PUNCT
cana-2013	4	1	mrs	mrs	PROPN
cana-2013	4	2	.	.	PROPN
cana-2013	4	3	lalitha	lalitha	PROPN
cana-2013	4	4	akkaraju6	akkaraju6	PROPN
cana-2013	4	5	,	,	PUNCT
cana-2013	4	6	dr	dr	PROPN
cana-2013	4	7	.	.	PROPN
cana-2013	4	8	n.	n.	PROPN
cana-2013	4	9	veerraju7	veerraju7	PROPN
cana-2013	4	10	1professor	1professor	NUM
cana-2013	4	11	,	,	PUNCT
cana-2013	4	12	department	department	NOUN
cana-2013	4	13	of	of	ADP
cana-2013	4	14	mathematics	mathematic	NOUN
cana-2013	4	15	,	,	PUNCT
cana-2013	4	16	saveetha	saveetha	PROPN
cana-2013	4	17	school	school	PROPN
cana-2013	4	18	of	of	ADP
cana-2013	4	19	engineering	engineering	PROPN
cana-2013	4	20	,	,	PUNCT
cana-2013	4	21	saveetha	saveetha	PROPN
cana-2013	4	22	institute	institute	PROPN
cana-2013	4	23	of	of	ADP
cana-2013	4	24	medical	medical	ADJ
cana-2013	4	25	and	and	CCONJ
cana-2013	4	26	technical	technical	ADJ
cana-2013	4	27	sciences	science	NOUN
cana-2013	4	28	(	(	PUNCT
cana-2013	4	29	simats	simat	NOUN
cana-2013	4	30	)	)	PUNCT
cana-2013	4	31	,	,	PUNCT
cana-2013	4	32	thandalam	thandalam	PROPN
cana-2013	4	33	,	,	PUNCT
cana-2013	4	34	chennai	chennai	PROPN
cana-2013	4	35	,	,	PUNCT
cana-2013	4	36	tamilnadu	tamilnadu	ADJ
cana-2013	4	37	,	,	PUNCT
cana-2013	4	38	pincode	pincode	ADJ
cana-2013	4	39	:	:	PUNCT
cana-2013	4	40	602105	602105	NUM
cana-2013	4	41	.	.	PUNCT
cana-2013	5	1	email	email	NOUN
cana-2013	5	2	i	i	PROPN
cana-2013	5	3	d	d	PROPN
cana-2013	5	4	:	:	PUNCT
cana-2013	5	5	stellamaragathamr.sse@saveetha.com	stellamaragathamr.sse@saveetha.com	PROPN
cana-2013	5	6	2associate	2associate	NUM
cana-2013	6	1	professor	professor	NOUN
cana-2013	6	2	,	,	PUNCT
cana-2013	6	3	department	department	NOUN
cana-2013	6	4	of	of	ADP
cana-2013	6	5	engineering	engineering	NOUN
cana-2013	6	6	mathematics	mathematic	NOUN
cana-2013	6	7	,	,	PUNCT
cana-2013	6	8	dr	dr	PROPN
cana-2013	6	9	.	.	PROPN
cana-2013	6	10	lankapalli	lankapalli	PROPN
cana-2013	6	11	bullayya	bullayya	PROPN
cana-2013	6	12	college	college	PROPN
cana-2013	6	13	of	of	ADP
cana-2013	6	14	engineering	engineering	PROPN
cana-2013	6	15	,	,	PUNCT
cana-2013	6	16	(	(	PUNCT
cana-2013	6	17	affiliated	affiliate	VERB
cana-2013	6	18	to	to	ADP
cana-2013	6	19	andhra	andhra	PROPN
cana-2013	6	20	university	university	PROPN
cana-2013	6	21	)	)	PUNCT
cana-2013	6	22	,	,	PUNCT
cana-2013	6	23	andhra	andhra	PROPN
cana-2013	6	24	pradesh	pradesh	PROPN
cana-2013	6	25	,	,	PUNCT
cana-2013	6	26	india	india	PROPN
cana-2013	6	27	,	,	PUNCT
cana-2013	6	28	pincode	pincode	ADJ
cana-2013	6	29	:	:	PUNCT
cana-2013	6	30	530007	530007	NUM
cana-2013	6	31	.	.	PUNCT
cana-2013	7	1	email	email	NOUN
cana-2013	7	2	i	i	PROPN
cana-2013	7	3	d	d	PROPN
cana-2013	7	4	:	:	PUNCT
cana-2013	8	1	pardhu07@gmail.com	pardhu07@gmail.com	PROPN
cana-2013	8	2	3associate	3associate	NUM
cana-2013	8	3	professor	professor	NOUN
cana-2013	8	4	,	,	PUNCT
cana-2013	8	5	department	department	NOUN
cana-2013	8	6	of	of	ADP
cana-2013	8	7	mathematics	mathematics	PROPN
cana-2013	8	8	,	,	PUNCT
cana-2013	8	9	v	v	NOUN
cana-2013	8	10	n	n	PRON
cana-2013	8	11	r	r	NOUN
cana-2013	8	12	vignana	vignana	PROPN
cana-2013	8	13	jyothi	jyothi	PROPN
cana-2013	8	14	institute	institute	PROPN
cana-2013	8	15	of	of	ADP
cana-2013	8	16	engineering	engineering	NOUN
cana-2013	8	17	and	and	CCONJ
cana-2013	8	18	technology	technology	NOUN
cana-2013	8	19	,	,	PUNCT
cana-2013	8	20	hyderabad	hyderabad	PROPN
cana-2013	8	21	,	,	PUNCT
cana-2013	8	22	india	india	PROPN
cana-2013	8	23	,	,	PUNCT
cana-2013	8	24	pincode	pincode	PROPN
cana-2013	8	25	:	:	PUNCT
cana-2013	8	26	500090	500090	NUM
cana-2013	8	27	.	.	PUNCT
cana-2013	9	1	email	email	NOUN
cana-2013	9	2	i	i	PROPN
cana-2013	9	3	d	d	PROPN
cana-2013	9	4	:	:	PUNCT
cana-2013	10	1	aparnapodila@gmail.com	aparnapodila@gmail.com	X
cana-2013	10	2	4research	4research	NUM
cana-2013	10	3	scholar	scholar	NOUN
cana-2013	10	4	,	,	PUNCT
cana-2013	10	5	department	department	NOUN
cana-2013	10	6	of	of	ADP
cana-2013	10	7	english	english	PROPN
cana-2013	10	8	,	,	PUNCT
cana-2013	10	9	koneru	koneru	PROPN
cana-2013	10	10	lakshmaiah	lakshmaiah	PROPN
cana-2013	10	11	education	education	PROPN
cana-2013	10	12	foundation	foundation	PROPN
cana-2013	10	13	,	,	PUNCT
cana-2013	10	14	(	(	PUNCT
cana-2013	10	15	kl	kl	PROPN
cana-2013	10	16	deemed	deem	VERB
cana-2013	10	17	to	to	PART
cana-2013	10	18	be	be	AUX
cana-2013	10	19	university	university	NOUN
cana-2013	10	20	)	)	PUNCT
cana-2013	10	21	vaddeshwaram	vaddeshwaram	NOUN
cana-2013	10	22	,	,	PUNCT
cana-2013	10	23	guntur	guntur	PROPN
cana-2013	10	24	,	,	PUNCT
cana-2013	10	25	andhra	andhra	PROPN
cana-2013	10	26	pradesh	pradesh	PROPN
cana-2013	10	27	,	,	PUNCT
cana-2013	10	28	india	india	PROPN
cana-2013	10	29	,	,	PUNCT
cana-2013	10	30	pincode:522502	pincode:522502	NOUN
cana-2013	10	31	.	.	PUNCT
cana-2013	11	1	email	email	NOUN
cana-2013	11	2	:	:	PUNCT
cana-2013	11	3	krishnasaji.17@gmail.com	krishnasaji.17@gmail.com	X
cana-2013	12	1	5assistant	5assistant	NUM
cana-2013	12	2	professor	professor	NOUN
cana-2013	12	3	,	,	PUNCT
cana-2013	12	4	department	department	NOUN
cana-2013	12	5	of	of	ADP
cana-2013	12	6	mathematics	mathematics	PROPN
cana-2013	12	7	,	,	PUNCT
cana-2013	12	8	r.m.k	r.m.k	NOUN
cana-2013	12	9	.	.	PUNCT
cana-2013	12	10	college	college	NOUN
cana-2013	12	11	of	of	ADP
cana-2013	12	12	engineering	engineering	NOUN
cana-2013	12	13	and	and	CCONJ
cana-2013	12	14	technology	technology	NOUN
cana-2013	12	15	,	,	PUNCT
cana-2013	12	16	r.s.m	r.s.m	PROPN
cana-2013	12	17	.	.	PROPN
cana-2013	12	18	nagar	nagar	PROPN
cana-2013	12	19	,	,	PUNCT
cana-2013	12	20	puduvoyal	puduvoyal	ADJ
cana-2013	12	21	,	,	PUNCT
cana-2013	12	22	thiruvallur	thiruvallur	NOUN
cana-2013	12	23	district	district	NOUN
cana-2013	12	24	,	,	PUNCT
cana-2013	12	25	tamilnadu	tamilnadu	PROPN
cana-2013	12	26	,	,	PUNCT
cana-2013	12	27	india	india	PROPN
cana-2013	12	28	,	,	PUNCT
cana-2013	12	29	pincode	pincode	PROPN
cana-2013	12	30	:	:	PUNCT
cana-2013	12	31	601206	601206	NUM
cana-2013	12	32	.	.	PUNCT
cana-2013	13	1	email	email	NOUN
cana-2013	13	2	:	:	PUNCT
cana-2013	13	3	hema.p@rmkcet.ac.in	hema.p@rmkcet.ac.in	PROPN
cana-2013	13	4	6adjunct	6adjunct	NUM
cana-2013	13	5	faculty	faculty	NOUN
cana-2013	13	6	,	,	PUNCT
cana-2013	13	7	department	department	NOUN
cana-2013	13	8	of	of	ADP
cana-2013	13	9	data	data	PROPN
cana-2013	13	10	science	science	PROPN
cana-2013	13	11	,	,	PUNCT
cana-2013	13	12	sri	sri	PROPN
cana-2013	13	13	venkateshwara	venkateshwara	PROPN
cana-2013	13	14	university	university	PROPN
cana-2013	13	15	,	,	PUNCT
cana-2013	13	16	tirupati	tirupati	PROPN
cana-2013	13	17	,	,	PUNCT
cana-2013	13	18	andhra	andhra	PROPN
cana-2013	13	19	pradesh	pradesh	PROPN
cana-2013	13	20	,	,	PUNCT
cana-2013	13	21	india	india	PROPN
cana-2013	13	22	,	,	PUNCT
cana-2013	13	23	pincode	pincode	PROPN
cana-2013	13	24	:	:	PUNCT
cana-2013	13	25	517502	517502	NUM
cana-2013	13	26	.	.	PUNCT
cana-2013	14	1	email	email	NOUN
cana-2013	14	2	i	i	PROPN
cana-2013	14	3	d	d	PROPN
cana-2013	14	4	:	:	PUNCT
cana-2013	14	5	lalitha.din@gmail.com	lalitha.din@gmail.com	PROPN
cana-2013	15	1	7assistant	7assistant	NUM
cana-2013	15	2	professor	professor	NOUN
cana-2013	15	3	,	,	PUNCT
cana-2013	15	4	department	department	NOUN
cana-2013	15	5	of	of	ADP
cana-2013	15	6	engineering	engineering	NOUN
cana-2013	15	7	mathematics	mathematic	NOUN
cana-2013	15	8	,	,	PUNCT
cana-2013	15	9	srkr	srkr	NOUN
cana-2013	15	10	engineering	engineering	NOUN
cana-2013	15	11	college	college	PROPN
cana-2013	15	12	,	,	PUNCT
cana-2013	15	13	bhimavaram	bhimavaram	PROPN
cana-2013	15	14	,	,	PUNCT
cana-2013	15	15	west	west	PROPN
cana-2013	15	16	godavari	godavari	PROPN
cana-2013	15	17	district	district	PROPN
cana-2013	15	18	,	,	PUNCT
cana-2013	15	19	andhra	andhra	PROPN
cana-2013	15	20	pradesh	pradesh	PROPN
cana-2013	15	21	,	,	PUNCT
cana-2013	15	22	india	india	PROPN
cana-2013	15	23	,	,	PUNCT
cana-2013	15	24	pincode	pincode	ADJ
cana-2013	15	25	:	:	PUNCT
cana-2013	15	26	534204	534204	NUM
cana-2013	15	27	.	.	PUNCT
cana-2013	16	1	email	email	NOUN
cana-2013	16	2	:	:	PUNCT
cana-2013	16	3	veerrajunalla@gmail.com	veerrajunalla@gmail.com	X
cana-2013	16	4	article	article	NOUN
cana-2013	16	5	history	history	NOUN
cana-2013	16	6	:	:	PUNCT
cana-2013	16	7	received	receive	VERB
cana-2013	16	8	:	:	PUNCT
cana-2013	16	9	02	02	NUM
cana-2013	16	10	-	-	SYM
cana-2013	16	11	08	08	NUM
cana-2013	16	12	-	-	PUNCT
cana-2013	16	13	2024	2024	NUM
cana-2013	16	14	revised	revise	VERB
cana-2013	16	15	:	:	PUNCT
cana-2013	16	16	25	25	NUM
cana-2013	16	17	-	-	PUNCT
cana-2013	16	18	09	09	NUM
cana-2013	16	19	-	-	PUNCT
cana-2013	16	20	2024	2024	NUM
cana-2013	16	21	accepted	accept	VERB
cana-2013	16	22	:	:	PUNCT
cana-2013	16	23	06	06	NUM
cana-2013	16	24	-	-	SYM
cana-2013	16	25	10	10	NUM
cana-2013	16	26	-	-	PUNCT
cana-2013	16	27	2024	2024	NUM
cana-2013	16	28	abstract	abstract	NOUN
cana-2013	16	29	:	:	PUNCT
cana-2013	16	30	an	an	DET
cana-2013	16	31	exhaustive	exhaustive	ADJ
cana-2013	16	32	and	and	CCONJ
cana-2013	16	33	methodical	methodical	ADJ
cana-2013	16	34	study	study	NOUN
cana-2013	16	35	of	of	ADP
cana-2013	16	36	algebraic	algebraic	ADJ
cana-2013	16	37	connectedness	connectedness	NOUN
cana-2013	16	38	and	and	CCONJ
cana-2013	16	39	graph	graph	NOUN
cana-2013	16	40	inverses	inverse	NOUN
cana-2013	16	41	.	.	PUNCT
cana-2013	17	1	in	in	ADP
cana-2013	17	2	many	many	ADJ
cana-2013	17	3	contexts	contexts	NOUN
cana-2013	17	4	,	,	PUNCT
cana-2013	17	5	graph	graph	NOUN
cana-2013	17	6	theory	theory	NOUN
cana-2013	17	7	plays	play	VERB
cana-2013	17	8	a	a	DET
cana-2013	17	9	crucial	crucial	ADJ
cana-2013	17	10	role	role	NOUN
cana-2013	17	11	,	,	PUNCT
cana-2013	17	12	particularly	particularly	ADV
cana-2013	17	13	when	when	SCONJ
cana-2013	17	14	understanding	understand	VERB
cana-2013	17	15	intricate	intricate	ADJ
cana-2013	17	16	systems	system	NOUN
cana-2013	17	17	.	.	PUNCT
cana-2013	18	1	this	this	DET
cana-2013	18	2	paper	paper	NOUN
cana-2013	18	3	delves	delve	VERB
cana-2013	18	4	into	into	ADP
cana-2013	18	5	the	the	DET
cana-2013	18	6	fundamental	fundamental	ADJ
cana-2013	18	7	concepts	concept	NOUN
cana-2013	18	8	of	of	ADP
cana-2013	18	9	graph	graph	NOUN
cana-2013	18	10	inverses	inverse	NOUN
cana-2013	18	11	and	and	CCONJ
cana-2013	18	12	explains	explain	VERB
cana-2013	18	13	their	their	PRON
cana-2013	18	14	significance	significance	NOUN
cana-2013	18	15	for	for	ADP
cana-2013	18	16	network	network	NOUN
cana-2013	18	17	analysis	analysis	NOUN
cana-2013	18	18	and	and	CCONJ
cana-2013	18	19	connectivity	connectivity	NOUN
cana-2013	18	20	evaluation	evaluation	NOUN
cana-2013	18	21	.	.	PUNCT
cana-2013	19	1	the	the	DET
cana-2013	19	2	laplacian	laplacian	PROPN
cana-2013	19	3	lattice	lattice	PROPN
cana-2013	19	4	's	's	PART
cana-2013	19	5	second	second	ADV
cana-2013	19	6	-	-	PUNCT
cana-2013	19	7	smallest	small	ADJ
cana-2013	19	8	eigenvalue	eigenvalue	NOUN
cana-2013	19	9	,	,	PUNCT
cana-2013	19	10	or	or	CCONJ
cana-2013	19	11	algebraic	algebraic	ADJ
cana-2013	19	12	connectivity	connectivity	NOUN
cana-2013	19	13	µn−1	µn−1	ADV
cana-2013	19	14	,	,	PUNCT
cana-2013	19	15	plays	play	VERB
cana-2013	19	16	a	a	DET
cana-2013	19	17	crucial	crucial	ADJ
cana-2013	19	18	role	role	NOUN
cana-2013	19	19	in	in	ADP
cana-2013	19	20	some	some	DET
cana-2013	19	21	features	feature	NOUN
cana-2013	19	22	like	like	ADP
cana-2013	19	23	network	network	NOUN
cana-2013	19	24	heartiness	heartiness	NOUN
cana-2013	19	25	,	,	PUNCT
cana-2013	19	26	synchronisation	synchronisation	NOUN
cana-2013	19	27	security	security	NOUN
cana-2013	19	28	,	,	PUNCT
cana-2013	19	29	and	and	CCONJ
cana-2013	19	30	diffusion	diffusion	NOUN
cana-2013	19	31	processes	process	NOUN
cana-2013	19	32	.	.	PUNCT
cana-2013	20	1	in	in	ADP
cana-2013	20	2	this	this	DET
cana-2013	20	3	study	study	NOUN
cana-2013	20	4	,	,	PUNCT
cana-2013	20	5	we	we	PRON
cana-2013	20	6	focus	focus	VERB
cana-2013	20	7	on	on	ADP
cana-2013	20	8	the	the	DET
cana-2013	20	9	algebraic	algebraic	ADJ
cana-2013	20	10	connectedness	connectedness	NOUN
cana-2013	20	11	in	in	ADP
cana-2013	20	12	the	the	DET
cana-2013	20	13	network	network	NOUN
cana-2013	20	14	-	-	PUNCT
cana-2013	20	15	of	of	ADP
cana-2013	20	16	-	-	PUNCT
cana-2013	20	17	networks	network	NOUN
cana-2013	20	18	(	(	PUNCT
cana-2013	20	19	non	non	ADJ
cana-2013	20	20	)	)	PUNCT
cana-2013	20	21	,	,	PUNCT
cana-2013	20	22	which	which	PRON
cana-2013	20	23	is	be	AUX
cana-2013	20	24	the	the	DET
cana-2013	20	25	general	general	ADJ
cana-2013	20	26	context	context	NOUN
cana-2013	20	27	of	of	ADP
cana-2013	20	28	linked	link	VERB
cana-2013	20	29	networks	network	NOUN
cana-2013	20	30	.	.	PUNCT
cana-2013	21	1	a	a	DET
cana-2013	21	2	key	key	ADJ
cana-2013	21	3	component	component	NOUN
cana-2013	21	4	of	of	ADP
cana-2013	21	5	science	science	NOUN
cana-2013	21	6	is	be	AUX
cana-2013	21	7	the	the	DET
cana-2013	21	8	graph	graph	NOUN
cana-2013	21	9	hypothesis	hypothesis	NOUN
cana-2013	21	10	.	.	PUNCT
cana-2013	22	1	algebraic	algebraic	ADJ
cana-2013	22	2	graph	graph	NOUN
cana-2013	22	3	hypothesis	hypothesis	NOUN
cana-2013	22	4	refers	refer	VERB
cana-2013	22	5	to	to	ADP
cana-2013	22	6	the	the	DET
cana-2013	22	7	use	use	NOUN
cana-2013	22	8	of	of	ADP
cana-2013	22	9	algebraic	algebraic	ADJ
cana-2013	22	10	techniques	technique	NOUN
cana-2013	22	11	to	to	PART
cana-2013	22	12	graph	graph	VERB
cana-2013	22	13	problems	problem	NOUN
cana-2013	22	14	.	.	PUNCT
cana-2013	23	1	this	this	DET
cana-2013	23	2	article	article	NOUN
cana-2013	23	3	concludes	conclude	VERB
cana-2013	23	4	a	a	DET
cana-2013	23	5	focus	focus	NOUN
cana-2013	23	6	on	on	ADP
cana-2013	23	7	algebraic	algebraic	ADJ
cana-2013	23	8	graph	graph	NOUN
cana-2013	23	9	hypothesis	hypothesis	NOUN
cana-2013	23	10	and	and	CCONJ
cana-2013	23	11	presents	present	NOUN
cana-2013	23	12	and	and	CCONJ
cana-2013	23	13	examines	examine	VERB
cana-2013	23	14	a	a	DET
cana-2013	23	15	different	different	ADJ
cana-2013	23	16	algebraic	algebraic	ADJ
cana-2013	23	17	and	and	CCONJ
cana-2013	23	18	mathematical	mathematical	ADJ
cana-2013	23	19	variety	variety	NOUN
cana-2013	23	20	idea	idea	NOUN
cana-2013	23	21	to	to	PART
cana-2013	23	22	regard	regard	VERB
cana-2013	23	23	as	as	ADP
cana-2013	23	24	the	the	DET
cana-2013	23	25	greatest	great	ADJ
cana-2013	23	26	matching	matching	NOUN
cana-2013	23	27	of	of	ADP
cana-2013	23	28	an	an	DET
cana-2013	23	29	undirected	undirected	ADJ
cana-2013	23	30	graph	graph	NOUN
cana-2013	23	31	.	.	PUNCT
cana-2013	24	1	keywords	keyword	NOUN
cana-2013	24	2	:	:	PUNCT
cana-2013	24	3	graph	graph	NOUN
cana-2013	24	4	inverses	inverse	NOUN
cana-2013	24	5	,	,	PUNCT
cana-2013	24	6	algebraic	algebraic	ADJ
cana-2013	24	7	connectivity	connectivity	NOUN
cana-2013	24	8	,	,	PUNCT
cana-2013	24	9	systematic	systematic	ADJ
cana-2013	24	10	way	way	NOUN
cana-2013	24	11	,	,	PUNCT
cana-2013	24	12	network	network	NOUN
cana-2013	24	13	-	-	PUNCT
cana-2013	24	14	ofnetworks	ofnetwork	NOUN
cana-2013	24	15	i.introduction	i.introduction	NOUN
cana-2013	24	16	in	in	ADP
cana-2013	24	17	the	the	DET
cana-2013	24	18	field	field	NOUN
cana-2013	24	19	of	of	ADP
cana-2013	24	20	mathematics	mathematic	NOUN
cana-2013	24	21	,	,	PUNCT
cana-2013	24	22	it	it	PRON
cana-2013	24	23	is	be	AUX
cana-2013	24	24	essential	essential	ADJ
cana-2013	24	25	to	to	PART
cana-2013	24	26	comprehend	comprehend	VERB
cana-2013	24	27	the	the	DET
cana-2013	24	28	relationships	relationship	NOUN
cana-2013	24	29	and	and	CCONJ
cana-2013	24	30	behaviours	behaviour	NOUN
cana-2013	24	31	between	between	ADP
cana-2013	24	32	graphs	graph	NOUN
cana-2013	24	33	and	and	CCONJ
cana-2013	24	34	their	their	PRON
cana-2013	24	35	inverses	inverse	NOUN
cana-2013	24	36	.	.	PUNCT
cana-2013	25	1	graphs	graph	NOUN
cana-2013	25	2	serve	serve	VERB
cana-2013	25	3	as	as	ADP
cana-2013	25	4	visual	visual	ADJ
cana-2013	25	5	representations	representation	NOUN
cana-2013	25	6	of	of	ADP
cana-2013	25	7	numerical	numerical	ADJ
cana-2013	25	8	capabilities	capability	NOUN
cana-2013	25	9	,	,	PUNCT
cana-2013	25	10	and	and	CCONJ
cana-2013	25	11	their	their	PRON
cana-2013	25	12	inverses	inverse	NOUN
cana-2013	25	13	provide	provide	VERB
cana-2013	25	14	crucial	crucial	ADJ
cana-2013	25	15	insights	insight	NOUN
cana-2013	25	16	into	into	ADP
cana-2013	25	17	the	the	DET
cana-2013	25	18	behaviour	behaviour	NOUN
cana-2013	25	19	of	of	ADP
cana-2013	25	20	the	the	DET
cana-2013	25	21	initial	initial	ADJ
cana-2013	25	22	capabilities	capability	NOUN
cana-2013	25	23	.	.	PUNCT
cana-2013	26	1	furthermore	furthermore	ADV
cana-2013	26	2	,	,	PUNCT
cana-2013	26	3	analysing	analyse	VERB
cana-2013	26	4	the	the	DET
cana-2013	26	5	connectivity	connectivity	NOUN
cana-2013	26	6	and	and	CCONJ
cana-2013	26	7	architecture	architecture	NOUN
cana-2013	26	8	of	of	ADP
cana-2013	26	9	graphs	graph	NOUN
cana-2013	26	10	requires	require	VERB
cana-2013	26	11	a	a	DET
cana-2013	26	12	thorough	thorough	ADJ
cana-2013	26	13	understanding	understanding	NOUN
cana-2013	26	14	of	of	ADP
cana-2013	26	15	algebraic	algebraic	ADJ
cana-2013	26	16	connection	connection	NOUN
cana-2013	26	17	.	.	PUNCT
cana-2013	27	1	analysing	analyse	VERB
cana-2013	27	2	algebraic	algebraic	ADJ
cana-2013	27	3	connectedness	connectedness	NOUN
cana-2013	27	4	and	and	CCONJ
cana-2013	27	5	graph	graph	NOUN
cana-2013	27	6	inverses	inverse	NOUN
cana-2013	27	7	in	in	ADP
cana-2013	27	8	a	a	DET
cana-2013	27	9	methodical	methodical	ADJ
cana-2013	27	10	manner	manner	NOUN
cana-2013	27	11	requires	require	VERB
cana-2013	27	12	delving	delve	VERB
cana-2013	27	13	into	into	ADP
cana-2013	27	14	several	several	ADJ
cana-2013	27	15	numerical	numerical	ADJ
cana-2013	27	16	concepts	concept	NOUN
cana-2013	27	17	and	and	CCONJ
cana-2013	27	18	techniques	technique	NOUN
cana-2013	27	19	.	.	PUNCT
cana-2013	28	1	this	this	DET
cana-2013	28	2	cycle	cycle	NOUN
cana-2013	28	3	enables	enable	VERB
cana-2013	28	4	us	we	PRON
cana-2013	28	5	to	to	PART
cana-2013	28	6	uncover	uncover	VERB
cana-2013	28	7	patterns	pattern	NOUN
cana-2013	28	8	,	,	PUNCT
cana-2013	28	9	set	set	VERB
cana-2013	28	10	expectations	expectation	NOUN
cana-2013	28	11	,	,	PUNCT
cana-2013	28	12	and	and	CCONJ
cana-2013	28	13	develop	develop	VERB
cana-2013	28	14	a	a	DET
cana-2013	28	15	deeper	deep	ADJ
cana-2013	28	16	understanding	understanding	NOUN
cana-2013	28	17	of	of	ADP
cana-2013	28	18	the	the	DET
cana-2013	28	19	numerical	numerical	ADJ
cana-2013	28	20	patterns	pattern	NOUN
cana-2013	28	21	that	that	PRON
cana-2013	28	22	lie	lie	VERB
cana-2013	28	23	beneath	beneath	ADP
cana-2013	28	24	the	the	DET
cana-2013	28	25	surface	surface	NOUN
cana-2013	28	26	.	.	PUNCT
cana-2013	29	1	let	let	VERB
cana-2013	29	2	's	us	PRON
cana-2013	29	3	explore	explore	VERB
cana-2013	29	4	the	the	DET
cana-2013	29	5	concept	concept	NOUN
cana-2013	29	6	of	of	ADP
cana-2013	29	7	graph	graph	NOUN
cana-2013	29	8	inverses	inverse	NOUN
cana-2013	29	9	first	first	ADV
cana-2013	29	10	.	.	PUNCT
cana-2013	30	1	in	in	ADP
cana-2013	30	2	science	science	NOUN
cana-2013	30	3	,	,	PUNCT
cana-2013	30	4	planning	planning	NOUN
cana-2013	30	5	contributions	contribution	NOUN
cana-2013	30	6	to	to	ADP
cana-2013	30	7	yields	yield	NOUN
cana-2013	30	8	is	be	AUX
cana-2013	30	9	switched	switch	VERB
cana-2013	30	10	by	by	ADP
cana-2013	30	11	using	use	VERB
cana-2013	30	12	the	the	DET
cana-2013	30	13	reverse	reverse	NOUN
cana-2013	30	14	of	of	ADP
cana-2013	30	15	a	a	DET
cana-2013	30	16	capability	capability	NOUN
cana-2013	30	17	.	.	PUNCT
cana-2013	31	1	a	a	DET
cana-2013	31	2	graph	graph	NOUN
cana-2013	31	3	's	's	PART
cana-2013	31	4	backwards	backwards	ADV
cana-2013	31	5	essentially	essentially	ADV
cana-2013	31	6	mirrors	mirror	VERB
cana-2013	31	7	it	it	PRON
cana-2013	31	8	over	over	ADP
cana-2013	31	9	the	the	DET
cana-2013	31	10	line	line	NOUN
cana-2013	31	11	y	y	PROPN
cana-2013	31	12	=	=	PUNCT
cana-2013	31	13	x.	x.	NOUN
cana-2013	31	14	gaining	gain	VERB
cana-2013	31	15	an	an	DET
cana-2013	31	16	understanding	understanding	NOUN
cana-2013	31	17	of	of	ADP
cana-2013	31	18	a	a	DET
cana-2013	31	19	graph	graph	NOUN
cana-2013	31	20	's	's	PART
cana-2013	31	21	qualities	quality	NOUN
cana-2013	31	22	and	and	CCONJ
cana-2013	31	23	the	the	DET
cana-2013	31	24	opposite	opposite	NOUN
cana-2013	31	25	can	can	AUX
cana-2013	31	26	provide	provide	VERB
cana-2013	31	27	insights	insight	NOUN
cana-2013	31	28	about	about	ADP
cana-2013	31	29	behaviour	behaviour	NOUN
cana-2013	31	30	,	,	PUNCT
cana-2013	31	31	reach	reach	VERB
cana-2013	31	32	,	,	PUNCT
cana-2013	31	33	and	and	CCONJ
cana-2013	31	34	balance	balance	NOUN
cana-2013	31	35	.	.	PUNCT
cana-2013	32	1	mailto:stellamaragathamr.sse@saveetha.com	mailto:stellamaragathamr.sse@saveetha.com	X
cana-2013	32	2	mailto:pardhu07@gmail.com	mailto:pardhu07@gmail.com	X
cana-2013	33	1	mailto:aparnapodila@gmail.com	mailto:aparnapodila@gmail.com	X
cana-2013	34	1	mailto:krishnasaji.17@gmail.com	mailto:krishnasaji.17@gmail.com	X
cana-2013	34	2	mailto:hema.p@rmkcet.ac.in	mailto:hema.p@rmkcet.ac.in	PROPN
cana-2013	34	3	mailto:lalitha.din@gmail.com	mailto:lalitha.din@gmail.com	X
cana-2013	34	4	mailto:veerrajunalla@gmail.com	mailto:veerrajunalla@gmail.com	PROPN
cana-2013	34	5	communications	communication	NOUN
cana-2013	34	6	on	on	ADP
cana-2013	34	7	applied	apply	VERB
cana-2013	34	8	nonlinear	nonlinear	ADJ
cana-2013	34	9	analysis	analysis	NOUN
cana-2013	34	10	issn	issn	NOUN
cana-2013	34	11	:	:	PUNCT
cana-2013	34	12	1074	1074	NUM
cana-2013	34	13	-	-	PUNCT
cana-2013	34	14	133x	133x	NUM
cana-2013	34	15	vol	vol	NOUN
cana-2013	34	16	32	32	NUM
cana-2013	34	17	no	no	NOUN
cana-2013	34	18	.	.	NOUN
cana-2013	34	19	3	3	NUM
cana-2013	34	20	(	(	PUNCT
cana-2013	34	21	2025	2025	NUM
cana-2013	34	22	)	)	PUNCT
cana-2013	34	23	526	526	NUM
cana-2013	34	24	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	34	25	a	a	DET
cana-2013	34	26	methodical	methodical	ADJ
cana-2013	34	27	approach	approach	NOUN
cana-2013	34	28	to	to	ADP
cana-2013	34	29	the	the	DET
cana-2013	34	30	study	study	NOUN
cana-2013	34	31	of	of	ADP
cana-2013	34	32	graph	graph	NOUN
cana-2013	34	33	inverses	inverse	NOUN
cana-2013	34	34	is	be	AUX
cana-2013	34	35	to	to	PART
cana-2013	34	36	examine	examine	VERB
cana-2013	34	37	the	the	DET
cana-2013	34	38	characteristics	characteristic	NOUN
cana-2013	34	39	of	of	ADP
cana-2013	34	40	the	the	DET
cana-2013	34	41	first	first	ADJ
cana-2013	34	42	capacity	capacity	NOUN
cana-2013	34	43	and	and	CCONJ
cana-2013	34	44	its	its	PRON
cana-2013	34	45	opposite	opposite	NOUN
cana-2013	34	46	.	.	PUNCT
cana-2013	35	1	determining	determine	VERB
cana-2013	35	2	whether	whether	SCONJ
cana-2013	35	3	the	the	DET
cana-2013	35	4	first	first	ADJ
cana-2013	35	5	capability	capability	NOUN
cana-2013	35	6	is	be	AUX
cana-2013	35	7	onto	onto	ADP
cana-2013	35	8	(	(	PUNCT
cana-2013	35	9	surjective	surjective	ADJ
cana-2013	35	10	)	)	PUNCT
cana-2013	35	11	or	or	CCONJ
cana-2013	35	12	balanced	balanced	ADJ
cana-2013	35	13	(	(	PUNCT
cana-2013	35	14	injective	injective	ADJ
cana-2013	35	15	)	)	PUNCT
cana-2013	35	16	is	be	AUX
cana-2013	35	17	included	include	VERB
cana-2013	35	18	in	in	ADP
cana-2013	35	19	this	this	PRON
cana-2013	35	20	since	since	SCONJ
cana-2013	35	21	these	these	DET
cana-2013	35	22	characteristics	characteristic	NOUN
cana-2013	35	23	affect	affect	VERB
cana-2013	35	24	the	the	DET
cana-2013	35	25	existence	existence	NOUN
cana-2013	35	26	and	and	CCONJ
cana-2013	35	27	behavior	behavior	NOUN
cana-2013	35	28	of	of	ADP
cana-2013	35	29	the	the	DET
cana-2013	35	30	opposing	opposing	ADJ
cana-2013	35	31	capability	capability	NOUN
cana-2013	35	32	.	.	PUNCT
cana-2013	36	1	furthermore	furthermore	ADV
cana-2013	36	2	,	,	PUNCT
cana-2013	36	3	focusing	focus	VERB
cana-2013	36	4	on	on	ADP
cana-2013	36	5	the	the	DET
cana-2013	36	6	area	area	NOUN
cana-2013	36	7	and	and	CCONJ
cana-2013	36	8	range	range	NOUN
cana-2013	36	9	of	of	ADP
cana-2013	36	10	the	the	DET
cana-2013	36	11	first	first	ADJ
cana-2013	36	12	skill	skill	NOUN
cana-2013	36	13	as	as	ADV
cana-2013	36	14	well	well	ADV
cana-2013	36	15	as	as	ADP
cana-2013	36	16	its	its	PRON
cana-2013	36	17	opposite	opposite	NOUN
cana-2013	36	18	might	might	AUX
cana-2013	36	19	provide	provide	VERB
cana-2013	36	20	light	light	NOUN
cana-2013	36	21	on	on	ADP
cana-2013	36	22	how	how	SCONJ
cana-2013	36	23	they	they	PRON
cana-2013	36	24	relate	relate	VERB
cana-2013	36	25	to	to	ADP
cana-2013	36	26	one	one	NUM
cana-2013	36	27	another	another	DET
cana-2013	36	28	.	.	PUNCT
cana-2013	37	1	conversely	conversely	ADV
cana-2013	37	2	,	,	PUNCT
cana-2013	37	3	algebraic	algebraic	ADJ
cana-2013	37	4	connectedness	connectedness	NOUN
cana-2013	37	5	represents	represent	VERB
cana-2013	37	6	the	the	DET
cana-2013	37	7	percentage	percentage	NOUN
cana-2013	37	8	of	of	ADP
cana-2013	37	9	a	a	DET
cana-2013	37	10	graph	graph	NOUN
cana-2013	37	11	's	's	PART
cana-2013	37	12	degree	degree	NOUN
cana-2013	37	13	of	of	ADP
cana-2013	37	14	association	association	NOUN
cana-2013	37	15	.	.	PUNCT
cana-2013	38	1	it	it	PRON
cana-2013	38	2	assesses	assess	VERB
cana-2013	38	3	how	how	SCONJ
cana-2013	38	4	much	much	ADJ
cana-2013	38	5	the	the	DET
cana-2013	38	6	graph	graph	NOUN
cana-2013	38	7	's	's	PART
cana-2013	38	8	connectedness	connectedness	NOUN
cana-2013	38	9	is	be	AUX
cana-2013	38	10	disrupted	disrupt	VERB
cana-2013	38	11	when	when	SCONJ
cana-2013	38	12	a	a	DET
cana-2013	38	13	vertex	vertex	NOUN
cana-2013	38	14	is	be	AUX
cana-2013	38	15	removed	remove	VERB
cana-2013	38	16	.	.	PUNCT
cana-2013	39	1	in	in	ADP
cana-2013	39	2	the	the	DET
cana-2013	39	3	study	study	NOUN
cana-2013	39	4	of	of	ADP
cana-2013	39	5	networks	network	NOUN
cana-2013	39	6	,	,	PUNCT
cana-2013	39	7	transportation	transportation	NOUN
cana-2013	39	8	systems	system	NOUN
cana-2013	39	9	,	,	PUNCT
cana-2013	39	10	and	and	CCONJ
cana-2013	39	11	correspondence	correspondence	NOUN
cana-2013	39	12	networks	network	NOUN
cana-2013	39	13	,	,	PUNCT
cana-2013	39	14	this	this	DET
cana-2013	39	15	concept	concept	NOUN
cana-2013	39	16	is	be	AUX
cana-2013	39	17	very	very	ADV
cana-2013	39	18	important	important	ADJ
cana-2013	39	19	.	.	PUNCT
cana-2013	40	1	a	a	DET
cana-2013	40	2	methodical	methodical	ADJ
cana-2013	40	3	approach	approach	NOUN
cana-2013	40	4	to	to	ADP
cana-2013	40	5	analysing	analyse	VERB
cana-2013	40	6	algebraic	algebraic	ADJ
cana-2013	40	7	connectedness	connectedness	NOUN
cana-2013	40	8	draws	draw	VERB
cana-2013	40	9	on	on	ADP
cana-2013	40	10	techniques	technique	NOUN
cana-2013	40	11	from	from	ADP
cana-2013	40	12	graph	graph	NOUN
cana-2013	40	13	hypothesis	hypothesis	NOUN
cana-2013	40	14	and	and	CCONJ
cana-2013	40	15	direct	direct	ADJ
cana-2013	40	16	variable	variable	NOUN
cana-2013	40	17	based	base	VERB
cana-2013	40	18	mathematics	mathematic	NOUN
cana-2013	40	19	.	.	PUNCT
cana-2013	41	1	for	for	ADP
cana-2013	41	2	instance	instance	NOUN
cana-2013	41	3	,	,	PUNCT
cana-2013	41	4	the	the	DET
cana-2013	41	5	algebraic	algebraic	ADJ
cana-2013	41	6	connectedness	connectedness	NOUN
cana-2013	41	7	of	of	ADP
cana-2013	41	8	the	the	DET
cana-2013	41	9	graph	graph	NOUN
cana-2013	41	10	can	can	AUX
cana-2013	41	11	be	be	AUX
cana-2013	41	12	determined	determine	VERB
cana-2013	41	13	by	by	ADP
cana-2013	41	14	processing	process	VERB
cana-2013	41	15	its	its	PRON
cana-2013	41	16	eigenvalues	eigenvalue	NOUN
cana-2013	41	17	and	and	CCONJ
cana-2013	41	18	eigenvectors	eigenvector	NOUN
cana-2013	41	19	on	on	ADP
cana-2013	41	20	the	the	DET
cana-2013	41	21	nearness	nearness	NOUN
cana-2013	41	22	lattice	lattice	NOUN
cana-2013	41	23	.	.	PUNCT
cana-2013	42	1	additionally	additionally	ADV
cana-2013	42	2	,	,	PUNCT
cana-2013	42	3	focusing	focus	VERB
cana-2013	42	4	on	on	ADP
cana-2013	42	5	the	the	DET
cana-2013	42	6	connection	connection	NOUN
cana-2013	42	7	characteristics	characteristic	NOUN
cana-2013	42	8	of	of	ADP
cana-2013	42	9	the	the	DET
cana-2013	42	10	graph	graph	NOUN
cana-2013	42	11	,	,	PUNCT
cana-2013	42	12	such	such	ADJ
cana-2013	42	13	as	as	ADP
cana-2013	42	14	its	its	PRON
cana-2013	42	15	measurement	measurement	NOUN
cana-2013	42	16	and	and	CCONJ
cana-2013	42	17	normal	normal	ADJ
cana-2013	42	18	degree	degree	NOUN
cana-2013	42	19	,	,	PUNCT
cana-2013	42	20	might	might	AUX
cana-2013	42	21	provide	provide	VERB
cana-2013	42	22	additional	additional	ADJ
cana-2013	42	23	insights	insight	NOUN
cana-2013	42	24	about	about	ADP
cana-2013	42	25	its	its	PRON
cana-2013	42	26	design	design	NOUN
cana-2013	42	27	.	.	PUNCT
cana-2013	43	1	analysing	analyse	VERB
cana-2013	43	2	various	various	ADJ
cana-2013	43	3	numerical	numerical	ADJ
cana-2013	43	4	concepts	concept	NOUN
cana-2013	43	5	,	,	PUNCT
cana-2013	43	6	traits	trait	NOUN
cana-2013	43	7	,	,	PUNCT
cana-2013	43	8	and	and	CCONJ
cana-2013	43	9	techniques	technique	NOUN
cana-2013	43	10	is	be	AUX
cana-2013	43	11	a	a	DET
cana-2013	43	12	necessary	necessary	ADJ
cana-2013	43	13	step	step	NOUN
cana-2013	43	14	in	in	ADP
cana-2013	43	15	deconstructing	deconstruct	VERB
cana-2013	43	16	graph	graph	NOUN
cana-2013	43	17	inverses	inverse	NOUN
cana-2013	43	18	and	and	CCONJ
cana-2013	43	19	algebraic	algebraic	ADJ
cana-2013	43	20	connection	connection	NOUN
cana-2013	43	21	methodically	methodically	ADV
cana-2013	43	22	.	.	PUNCT
cana-2013	44	1	mathematicians	mathematician	NOUN
cana-2013	44	2	and	and	CCONJ
cana-2013	44	3	scientists	scientist	NOUN
cana-2013	44	4	are	be	AUX
cana-2013	44	5	able	able	ADJ
cana-2013	44	6	to	to	PART
cana-2013	44	7	reveal	reveal	VERB
cana-2013	44	8	hidden	hidden	ADJ
cana-2013	44	9	examples	example	NOUN
cana-2013	44	10	,	,	PUNCT
cana-2013	44	11	establish	establish	VERB
cana-2013	44	12	expectations	expectation	NOUN
cana-2013	44	13	,	,	PUNCT
cana-2013	44	14	and	and	CCONJ
cana-2013	44	15	enhance	enhance	VERB
cana-2013	44	16	our	our	PRON
cana-2013	44	17	understanding	understanding	NOUN
cana-2013	44	18	of	of	ADP
cana-2013	44	19	how	how	SCONJ
cana-2013	44	20	we	we	PRON
cana-2013	44	21	might	might	AUX
cana-2013	44	22	interpret	interpret	VERB
cana-2013	44	23	complicated	complicated	ADJ
cana-2013	44	24	systems	system	NOUN
cana-2013	44	25	by	by	ADP
cana-2013	44	26	understanding	understand	VERB
cana-2013	44	27	the	the	DET
cana-2013	44	28	relationships	relationship	NOUN
cana-2013	44	29	between	between	ADP
cana-2013	44	30	graphs	graph	NOUN
cana-2013	44	31	and	and	CCONJ
cana-2013	44	32	their	their	PRON
cana-2013	44	33	inverses	inverse	NOUN
cana-2013	44	34	as	as	ADV
cana-2013	44	35	well	well	ADV
cana-2013	44	36	as	as	ADP
cana-2013	44	37	the	the	DET
cana-2013	44	38	connectivity	connectivity	NOUN
cana-2013	44	39	of	of	ADP
cana-2013	44	40	graphs	graph	NOUN
cana-2013	44	41	themselves	themselves	PRON
cana-2013	44	42	.	.	PUNCT
cana-2013	45	1	more	more	ADJ
cana-2013	45	2	and	and	CCONJ
cana-2013	45	3	more	more	ADJ
cana-2013	45	4	attention	attention	NOUN
cana-2013	45	5	has	have	AUX
cana-2013	45	6	recently	recently	ADV
cana-2013	45	7	been	be	AUX
cana-2013	45	8	paid	pay	VERB
cana-2013	45	9	to	to	ADP
cana-2013	45	10	algebraic	algebraic	ADJ
cana-2013	45	11	connectivity	connectivity	NOUN
cana-2013	45	12	in	in	ADP
cana-2013	45	13	reviews	review	NOUN
cana-2013	45	14	and	and	CCONJ
cana-2013	45	15	books	book	NOUN
cana-2013	45	16	,	,	PUNCT
cana-2013	45	17	in	in	ADP
cana-2013	45	18	applications	application	NOUN
cana-2013	45	19	on	on	ADP
cana-2013	45	20	trees	tree	NOUN
cana-2013	45	21	,	,	PUNCT
cana-2013	45	22	in	in	ADP
cana-2013	45	23	applications	application	NOUN
cana-2013	45	24	on	on	ADP
cana-2013	45	25	challenging	challenge	VERB
cana-2013	45	26	problems	problem	NOUN
cana-2013	45	27	in	in	ADP
cana-2013	45	28	graph	graph	NOUN
cana-2013	45	29	theory	theory	NOUN
cana-2013	45	30	,	,	PUNCT
cana-2013	45	31	such	such	ADJ
cana-2013	45	32	as	as	ADP
cana-2013	45	33	the	the	DET
cana-2013	45	34	extending	extend	VERB
cana-2013	45	35	properties	property	NOUN
cana-2013	45	36	of	of	ADP
cana-2013	45	37	graphs	graph	NOUN
cana-2013	45	38	,	,	PUNCT
cana-2013	45	39	weighted	weight	VERB
cana-2013	45	40	graphs	graph	NOUN
cana-2013	45	41	,	,	PUNCT
cana-2013	45	42	outright	outright	ADV
cana-2013	45	43	algebraic	algebraic	ADJ
cana-2013	45	44	connectivity	connectivity	NOUN
cana-2013	45	45	,	,	PUNCT
cana-2013	45	46	variety	variety	NOUN
cana-2013	45	47	,	,	PUNCT
cana-2013	45	48	and	and	CCONJ
cana-2013	45	49	isoperimetric	isoperimetric	ADJ
cana-2013	45	50	number	number	NOUN
cana-2013	45	51	of	of	ADP
cana-2013	45	52	a	a	DET
cana-2013	45	53	graph	graph	NOUN
cana-2013	45	54	,	,	PUNCT
cana-2013	45	55	in	in	ADP
cana-2013	45	56	the	the	DET
cana-2013	45	57	study	study	NOUN
cana-2013	45	58	of	of	ADP
cana-2013	45	59	the	the	DET
cana-2013	45	60	asymptotic	asymptotic	ADJ
cana-2013	45	61	behaviour	behaviour	NOUN
cana-2013	45	62	of	of	ADP
cana-2013	45	63	algebraic	algebraic	ADJ
cana-2013	45	64	connectivity	connectivity	NOUN
cana-2013	45	65	for	for	ADP
cana-2013	45	66	irregular	irregular	ADJ
cana-2013	45	67	graphs	graph	NOUN
cana-2013	45	68	,	,	PUNCT
cana-2013	45	69	and	and	CCONJ
cana-2013	45	70	in	in	ADP
cana-2013	45	71	applications	application	NOUN
cana-2013	45	72	on	on	ADP
cana-2013	45	73	combinatorial	combinatorial	ADJ
cana-2013	45	74	enhancement	enhancement	NOUN
cana-2013	45	75	problems	problem	NOUN
cana-2013	45	76	,	,	PUNCT
cana-2013	45	77	such	such	ADJ
cana-2013	45	78	as	as	ADP
cana-2013	45	79	the	the	DET
cana-2013	45	80	specific	specific	ADJ
cana-2013	45	81	streaming	streaming	NOUN
cana-2013	45	82	cycle	cycle	NOUN
cana-2013	45	83	,	,	PUNCT
cana-2013	45	84	the	the	DET
cana-2013	45	85	greatest	great	ADJ
cana-2013	45	86	cut	cut	NOUN
cana-2013	45	87	,	,	PUNCT
cana-2013	45	88	and	and	CCONJ
cana-2013	45	89	the	the	DET
cana-2013	45	90	mobile	mobile	ADJ
cana-2013	45	91	sales	sale	NOUN
cana-2013	45	92	representative	representative	NOUN
cana-2013	45	93	problems	problem	NOUN
cana-2013	45	94	.	.	PUNCT
cana-2013	46	1	additionally	additionally	ADV
cana-2013	46	2	,	,	PUNCT
cana-2013	46	3	the	the	DET
cana-2013	46	4	algebraic	algebraic	ADJ
cana-2013	46	5	connectivity	connectivity	NOUN
cana-2013	46	6	is	be	AUX
cana-2013	46	7	relevant	relevant	ADJ
cana-2013	46	8	to	to	ADP
cana-2013	46	9	the	the	DET
cana-2013	46	10	flexibility	flexibility	NOUN
cana-2013	46	11	hypothesis	hypothesis	NOUN
cana-2013	46	12	,	,	PUNCT
cana-2013	46	13	the	the	DET
cana-2013	46	14	correspondence	correspondence	NOUN
cana-2013	46	15	between	between	ADP
cana-2013	46	16	continuous	continuous	ADJ
cana-2013	46	17	and	and	CCONJ
cana-2013	46	18	discrete	discrete	ADJ
cana-2013	46	19	science	science	NOUN
cana-2013	46	20	(	(	PUNCT
cana-2013	46	21	cheeger	cheeger	ADV
cana-2013	46	22	obtained	obtain	VERB
cana-2013	46	23	a	a	DET
cana-2013	46	24	discrepancy	discrepancy	NOUN
cana-2013	46	25	for	for	ADP
cana-2013	46	26	the	the	DET
cana-2013	46	27	endless	endless	ADJ
cana-2013	46	28	simple	simple	NOUN
cana-2013	46	29	of	of	ADP
cana-2013	46	30	the	the	DET
cana-2013	46	31	algebraic	algebraic	ADJ
cana-2013	46	32	connectivity	connectivity	NOUN
cana-2013	46	33	in	in	ADP
cana-2013	46	34	reduced	reduce	VERB
cana-2013	46	35	riemannian	riemannian	ADJ
cana-2013	46	36	manifolds	manifold	NOUN
cana-2013	46	37	)	)	PUNCT
cana-2013	46	38	,	,	PUNCT
cana-2013	46	39	and	and	CCONJ
cana-2013	46	40	mohar	mohar	NOUN
cana-2013	46	41	's	's	PART
cana-2013	46	42	analysis	analysis	NOUN
cana-2013	46	43	of	of	ADP
cana-2013	46	44	a	a	DET
cana-2013	46	45	transmission	transmission	NOUN
cana-2013	46	46	capacity	capacity	NOUN
cana-2013	46	47	type	type	NOUN
cana-2013	46	48	problem	problem	NOUN
cana-2013	46	49	using	use	VERB
cana-2013	46	50	the	the	DET
cana-2013	46	51	unearthly	unearthly	ADV
cana-2013	46	52	boundary	boundary	NOUN
cana-2013	46	53	.	.	PUNCT
cana-2013	47	1	similarly	similarly	ADV
cana-2013	47	2	,	,	PUNCT
cana-2013	47	3	describe	describe	VERB
cana-2013	47	4	a	a	DET
cana-2013	47	5	method	method	NOUN
cana-2013	47	6	to	to	PART
cana-2013	47	7	extend	extend	VERB
cana-2013	47	8	the	the	DET
cana-2013	47	9	second	second	ADV
cana-2013	47	10	-	-	PUNCT
cana-2013	47	11	smallest	small	ADJ
cana-2013	47	12	eigenvalue	eigenvalue	NOUN
cana-2013	47	13	throughout	throughout	ADP
cana-2013	47	14	the	the	DET
cana-2013	47	15	curved	curved	ADJ
cana-2013	47	16	laplacian	laplacian	ADJ
cana-2013	47	17	frame	frame	NOUN
cana-2013	47	18	of	of	ADP
cana-2013	47	19	graphs	graph	NOUN
cana-2013	47	20	inside	inside	ADP
cana-2013	47	21	a	a	DET
cana-2013	47	22	given	give	VERB
cana-2013	47	23	family	family	NOUN
cana-2013	47	24	,	,	PUNCT
cana-2013	47	25	which	which	PRON
cana-2013	47	26	is	be	AUX
cana-2013	47	27	a	a	DET
cana-2013	47	28	problem	problem	NOUN
cana-2013	47	29	for	for	ADP
cana-2013	47	30	improvement	improvement	NOUN
cana-2013	47	31	.	.	PUNCT
cana-2013	48	1	fiedler	fiedler	PROPN
cana-2013	48	2	vectors	vector	NOUN
cana-2013	48	3	,	,	PUNCT
cana-2013	48	4	which	which	PRON
cana-2013	48	5	are	be	AUX
cana-2013	48	6	eigenvectors	eigenvector	NOUN
cana-2013	48	7	that	that	PRON
cana-2013	48	8	compare	compare	VERB
cana-2013	48	9	to	to	ADP
cana-2013	48	10	the	the	DET
cana-2013	48	11	algebraic	algebraic	ADJ
cana-2013	48	12	connectedness	connectedness	NOUN
cana-2013	48	13	,	,	PUNCT
cana-2013	48	14	are	be	AUX
cana-2013	48	15	also	also	ADV
cana-2013	48	16	significant	significant	ADJ
cana-2013	48	17	.	.	PUNCT
cana-2013	49	1	convinced	convince	VERB
cana-2013	49	2	by	by	ADP
cana-2013	49	3	,	,	PUNCT
cana-2013	49	4	these	these	DET
cana-2013	49	5	eigenvectors	eigenvector	NOUN
cana-2013	49	6	are	be	AUX
cana-2013	49	7	quite	quite	ADV
cana-2013	49	8	notable	notable	ADJ
cana-2013	49	9	these	these	DET
cana-2013	49	10	days	day	NOUN
cana-2013	49	11	.	.	PUNCT
cana-2013	50	1	more	more	ADV
cana-2013	50	2	recently	recently	ADV
cana-2013	50	3	,	,	PUNCT
cana-2013	50	4	there	there	PRON
cana-2013	50	5	has	have	AUX
cana-2013	50	6	been	be	AUX
cana-2013	50	7	interest	interest	NOUN
cana-2013	50	8	in	in	ADP
cana-2013	50	9	the	the	DET
cana-2013	50	10	cutoff	cutoff	NOUN
cana-2013	50	11	points	point	NOUN
cana-2013	50	12	of	of	ADP
cana-2013	50	13	laplacian	laplacian	ADJ
cana-2013	50	14	spectra	spectra	NOUN
cana-2013	50	15	and	and	CCONJ
cana-2013	50	16	hence	hence	ADV
cana-2013	50	17	in	in	ADP
cana-2013	50	18	the	the	DET
cana-2013	50	19	algebraic	algebraic	ADJ
cana-2013	50	20	connectedness	connectedness	NOUN
cana-2013	50	21	.	.	PUNCT
cana-2013	51	1	finally	finally	ADV
cana-2013	51	2	,	,	PUNCT
cana-2013	51	3	the	the	DET
cana-2013	51	4	presentation	presentation	NOUN
cana-2013	51	5	of	of	ADP
cana-2013	51	6	extreme	extreme	ADJ
cana-2013	51	7	graphs	graph	NOUN
cana-2013	51	8	satisfying	satisfy	VERB
cana-2013	51	9	certain	certain	ADJ
cana-2013	51	10	maximum	maximum	ADJ
cana-2013	51	11	and	and	CCONJ
cana-2013	51	12	trivial	trivial	ADJ
cana-2013	51	13	invariants	invariant	NOUN
cana-2013	51	14	seems	seem	VERB
cana-2013	51	15	to	to	PART
cana-2013	51	16	have	have	AUX
cana-2013	51	17	placed	place	VERB
cana-2013	51	18	a	a	DET
cana-2013	51	19	remarkable	remarkable	ADJ
cana-2013	51	20	emphasis	emphasis	NOUN
cana-2013	51	21	on	on	ADP
cana-2013	51	22	graph	graph	NOUN
cana-2013	51	23	hypothesis	hypothesis	NOUN
cana-2013	51	24	research	research	NOUN
cana-2013	51	25	at	at	ADP
cana-2013	51	26	the	the	DET
cana-2013	51	27	beginning	beginning	NOUN
cana-2013	51	28	of	of	ADP
cana-2013	51	29	this	this	DET
cana-2013	51	30	millennium	millennium	NOUN
cana-2013	51	31	.	.	PUNCT
cana-2013	52	1	therefore	therefore	ADV
cana-2013	52	2	,	,	PUNCT
cana-2013	52	3	in	in	ADP
cana-2013	52	4	terms	term	NOUN
cana-2013	52	5	of	of	ADP
cana-2013	52	6	the	the	DET
cana-2013	52	7	algebraic	algebraic	ADJ
cana-2013	52	8	connection	connection	NOUN
cana-2013	52	9	,	,	PUNCT
cana-2013	52	10	this	this	PRON
cana-2013	52	11	can	can	AUX
cana-2013	52	12	not	not	PART
cana-2013	52	13	be	be	AUX
cana-2013	52	14	different	different	ADJ
cana-2013	52	15	.	.	PUNCT
cana-2013	53	1	ii.literature	ii.literature	NOUN
cana-2013	53	2	review	review	VERB
cana-2013	53	3	cheng	cheng	PROPN
cana-2013	53	4	ye	ye	INTJ
cana-2013	53	5	et	et	PROPN
cana-2013	53	6	al	al	PROPN
cana-2013	53	7	.	.	PROPN
cana-2013	54	1	(	(	PUNCT
cana-2013	54	2	2015	2015	NUM
cana-2013	54	3	)	)	PUNCT
cana-2013	54	4	provide	provide	VERB
cana-2013	54	5	a	a	DET
cana-2013	54	6	novel	novel	ADJ
cana-2013	54	7	approach	approach	NOUN
cana-2013	54	8	to	to	ADP
cana-2013	54	9	the	the	DET
cana-2013	54	10	thermodynamic	thermodynamic	ADJ
cana-2013	54	11	representation	representation	NOUN
cana-2013	54	12	of	of	ADP
cana-2013	54	13	networks	network	NOUN
cana-2013	54	14	using	use	VERB
cana-2013	54	15	graph	graph	NOUN
cana-2013	54	16	polynomials	polynomial	NOUN
cana-2013	54	17	.	.	PUNCT
cana-2013	55	1	they	they	PRON
cana-2013	55	2	describe	describe	VERB
cana-2013	55	3	a	a	DET
cana-2013	55	4	system	system	NOUN
cana-2013	55	5	that	that	PRON
cana-2013	55	6	deconstructs	deconstruct	VERB
cana-2013	55	7	confusing	confusing	ADJ
cana-2013	55	8	networks	network	NOUN
cana-2013	55	9	'	'	PART
cana-2013	55	10	core	core	NOUN
cana-2013	55	11	features	feature	NOUN
cana-2013	55	12	using	use	VERB
cana-2013	55	13	concepts	concept	NOUN
cana-2013	55	14	from	from	ADP
cana-2013	55	15	factual	factual	ADJ
cana-2013	55	16	mechanics	mechanic	NOUN
cana-2013	55	17	and	and	CCONJ
cana-2013	55	18	graph	graph	NOUN
cana-2013	55	19	hypothesis	hypothesis	NOUN
cana-2013	55	20	.	.	PUNCT
cana-2013	56	1	graph	graph	NOUN
cana-2013	56	2	polynomials	polynomial	NOUN
cana-2013	56	3	,	,	PUNCT
cana-2013	56	4	such	such	ADJ
cana-2013	56	5	as	as	ADP
cana-2013	56	6	the	the	DET
cana-2013	56	7	matching	matching	NOUN
cana-2013	56	8	and	and	CCONJ
cana-2013	56	9	trademark	trademark	NOUN
cana-2013	56	10	polynomials	polynomial	NOUN
cana-2013	56	11	,	,	PUNCT
cana-2013	56	12	can	can	AUX
cana-2013	56	13	be	be	AUX
cana-2013	56	14	used	use	VERB
cana-2013	56	15	to	to	PART
cana-2013	56	16	eliminate	eliminate	VERB
cana-2013	56	17	important	important	ADJ
cana-2013	56	18	information	information	NOUN
cana-2013	56	19	about	about	ADP
cana-2013	56	20	the	the	DET
cana-2013	56	21	thermodynamic	thermodynamic	ADJ
cana-2013	56	22	behaviour	behaviour	NOUN
cana-2013	56	23	,	,	PUNCT
cana-2013	56	24	connectivity	connectivity	NOUN
cana-2013	56	25	,	,	PUNCT
cana-2013	56	26	and	and	CCONJ
cana-2013	56	27	topology	topology	NOUN
cana-2013	56	28	of	of	ADP
cana-2013	56	29	the	the	DET
cana-2013	56	30	network	network	NOUN
cana-2013	56	31	.	.	PUNCT
cana-2013	57	1	the	the	DET
cana-2013	57	2	authors	author	NOUN
cana-2013	57	3	demonstrate	demonstrate	VERB
cana-2013	57	4	the	the	DET
cana-2013	57	5	practicality	practicality	NOUN
cana-2013	57	6	of	of	ADP
cana-2013	57	7	their	their	PRON
cana-2013	57	8	method	method	NOUN
cana-2013	57	9	for	for	ADP
cana-2013	57	10	capturing	capture	VERB
cana-2013	57	11	basic	basic	ADJ
cana-2013	57	12	network	network	NOUN
cana-2013	57	13	features	feature	NOUN
cana-2013	57	14	and	and	CCONJ
cana-2013	57	15	provide	provide	VERB
cana-2013	57	16	tidbits	tidbit	NOUN
cana-2013	57	17	of	of	ADP
cana-2013	57	18	information	information	NOUN
cana-2013	57	19	about	about	ADP
cana-2013	57	20	the	the	DET
cana-2013	57	21	relationship	relationship	NOUN
cana-2013	57	22	between	between	ADP
cana-2013	57	23	graph	graph	NOUN
cana-2013	57	24	polynomials	polynomial	NOUN
cana-2013	57	25	and	and	CCONJ
cana-2013	57	26	network	network	NOUN
cana-2013	57	27	characteristics	characteristic	NOUN
cana-2013	57	28	.	.	PUNCT
cana-2013	58	1	this	this	DET
cana-2013	58	2	work	work	NOUN
cana-2013	58	3	provides	provide	VERB
cana-2013	58	4	new	new	ADJ
cana-2013	58	5	avenues	avenue	NOUN
cana-2013	58	6	for	for	ADP
cana-2013	58	7	focusing	focus	VERB
cana-2013	58	8	communications	communication	NOUN
cana-2013	58	9	on	on	ADP
cana-2013	58	10	applied	apply	VERB
cana-2013	58	11	nonlinear	nonlinear	ADJ
cana-2013	58	12	analysis	analysis	NOUN
cana-2013	58	13	issn	issn	NOUN
cana-2013	58	14	:	:	PUNCT
cana-2013	58	15	1074	1074	NUM
cana-2013	58	16	-	-	PUNCT
cana-2013	58	17	133x	133x	NUM
cana-2013	58	18	vol	vol	NOUN
cana-2013	58	19	32	32	NUM
cana-2013	58	20	no	no	NOUN
cana-2013	58	21	.	.	NOUN
cana-2013	58	22	3	3	NUM
cana-2013	58	23	(	(	PUNCT
cana-2013	58	24	2025	2025	NUM
cana-2013	58	25	)	)	PUNCT
cana-2013	58	26	527	527	NUM
cana-2013	58	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	58	28	on	on	ADP
cana-2013	58	29	the	the	DET
cana-2013	58	30	thermodynamic	thermodynamic	ADJ
cana-2013	58	31	features	feature	NOUN
cana-2013	58	32	of	of	ADP
cana-2013	58	33	complex	complex	ADJ
cana-2013	58	34	systems	system	NOUN
cana-2013	58	35	and	and	CCONJ
cana-2013	58	36	advances	advance	VERB
cana-2013	58	37	the	the	DET
cana-2013	58	38	development	development	NOUN
cana-2013	58	39	of	of	ADP
cana-2013	58	40	network	network	NOUN
cana-2013	58	41	inquiry	inquiry	NOUN
cana-2013	58	42	methodologies	methodology	NOUN
cana-2013	58	43	.	.	PUNCT
cana-2013	59	1	d.	d.	PROPN
cana-2013	59	2	zhou	zhou	PROPN
cana-2013	59	3	et	et	PROPN
cana-2013	59	4	al	al	PROPN
cana-2013	59	5	.	.	PROPN
cana-2013	60	1	(	(	PUNCT
cana-2013	60	2	2012	2012	NUM
cana-2013	60	3	)	)	PUNCT
cana-2013	60	4	analyse	analyse	NOUN
cana-2013	60	5	how	how	SCONJ
cana-2013	60	6	assortativity	assortativity	NOUN
cana-2013	60	7	affects	affect	VERB
cana-2013	60	8	the	the	DET
cana-2013	60	9	resilience	resilience	NOUN
cana-2013	60	10	of	of	ADP
cana-2013	60	11	dependent	dependent	ADJ
cana-2013	60	12	networks	network	NOUN
cana-2013	60	13	.	.	PUNCT
cana-2013	61	1	they	they	PRON
cana-2013	61	2	demonstrate	demonstrate	VERB
cana-2013	61	3	through	through	ADP
cana-2013	61	4	logical	logical	ADJ
cana-2013	61	5	and	and	CCONJ
cana-2013	61	6	mathematical	mathematical	ADJ
cana-2013	61	7	analyses	analysis	NOUN
cana-2013	61	8	how	how	SCONJ
cana-2013	61	9	assortative	assortative	ADJ
cana-2013	61	10	blending	blending	NOUN
cana-2013	61	11	,	,	PUNCT
cana-2013	61	12	in	in	ADP
cana-2013	61	13	which	which	PRON
cana-2013	61	14	hubs	hub	NOUN
cana-2013	61	15	typically	typically	ADV
cana-2013	61	16	associate	associate	VERB
cana-2013	61	17	with	with	ADP
cana-2013	61	18	others	other	NOUN
cana-2013	61	19	of	of	ADP
cana-2013	61	20	similar	similar	ADJ
cana-2013	61	21	degrees	degree	NOUN
cana-2013	61	22	,	,	PUNCT
cana-2013	61	23	can	can	AUX
cana-2013	61	24	effectively	effectively	ADV
cana-2013	61	25	reduce	reduce	VERB
cana-2013	61	26	the	the	DET
cana-2013	61	27	robustness	robustness	NOUN
cana-2013	61	28	of	of	ADP
cana-2013	61	29	dependent	dependent	ADJ
cana-2013	61	30	networks	network	NOUN
cana-2013	61	31	against	against	ADP
cana-2013	61	32	flowing	flow	VERB
cana-2013	61	33	disappointments	disappointment	NOUN
cana-2013	61	34	.	.	PUNCT
cana-2013	62	1	the	the	DET
cana-2013	62	2	analysis	analysis	NOUN
cana-2013	62	3	reveals	reveal	VERB
cana-2013	62	4	that	that	SCONJ
cana-2013	62	5	assortative	assortative	ADJ
cana-2013	62	6	mixing	mixing	NOUN
cana-2013	62	7	contributes	contribute	VERB
cana-2013	62	8	to	to	ADP
cana-2013	62	9	dependent	dependent	ADJ
cana-2013	62	10	systems	system	NOUN
cana-2013	62	11	'	'	PART
cana-2013	62	12	susceptibility	susceptibility	NOUN
cana-2013	62	13	to	to	ADP
cana-2013	62	14	targeted	target	VERB
cana-2013	62	15	attacks	attack	NOUN
cana-2013	62	16	,	,	PUNCT
cana-2013	62	17	underscoring	underscore	VERB
cana-2013	62	18	the	the	DET
cana-2013	62	19	need	need	NOUN
cana-2013	62	20	of	of	ADP
cana-2013	62	21	taking	take	VERB
cana-2013	62	22	network	network	NOUN
cana-2013	62	23	assortativity	assortativity	NOUN
cana-2013	62	24	into	into	ADP
cana-2013	62	25	account	account	NOUN
cana-2013	62	26	when	when	SCONJ
cana-2013	62	27	assessing	assess	VERB
cana-2013	62	28	resilience	resilience	NOUN
cana-2013	62	29	to	to	ADP
cana-2013	62	30	setbacks	setback	NOUN
cana-2013	62	31	and	and	CCONJ
cana-2013	62	32	disruptions	disruption	NOUN
cana-2013	62	33	.	.	PUNCT
cana-2013	63	1	this	this	DET
cana-2013	63	2	analysis	analysis	NOUN
cana-2013	63	3	sheds	shed	VERB
cana-2013	63	4	light	light	NOUN
cana-2013	63	5	on	on	ADP
cana-2013	63	6	the	the	DET
cana-2013	63	7	erratic	erratic	ADJ
cana-2013	63	8	relationship	relationship	NOUN
cana-2013	63	9	between	between	ADP
cana-2013	63	10	network	network	NOUN
cana-2013	63	11	architecture	architecture	NOUN
cana-2013	63	12	and	and	CCONJ
cana-2013	63	13	robustness	robustness	NOUN
cana-2013	63	14	,	,	PUNCT
cana-2013	63	15	providing	provide	VERB
cana-2013	63	16	valuable	valuable	ADJ
cana-2013	63	17	insights	insight	NOUN
cana-2013	63	18	for	for	ADP
cana-2013	63	19	designing	design	VERB
cana-2013	63	20	more	more	ADV
cana-2013	63	21	robust	robust	ADJ
cana-2013	63	22	systems	system	NOUN
cana-2013	63	23	.	.	PUNCT
cana-2013	64	1	g.	g.	NOUN
cana-2013	64	2	d’agostino	d’agostino	PROPN
cana-2013	64	3	et	et	PROPN
cana-2013	64	4	al	al	PROPN
cana-2013	64	5	.	.	PROPN
cana-2013	64	6	(	(	PUNCT
cana-2013	64	7	2012	2012	NUM
cana-2013	64	8	)	)	PUNCT
cana-2013	64	9	examine	examine	VERB
cana-2013	64	10	how	how	SCONJ
cana-2013	64	11	diffusion	diffusion	NOUN
cana-2013	64	12	like	like	ADP
cana-2013	64	13	cycles	cycle	NOUN
cana-2013	64	14	in	in	ADP
cana-2013	64	15	networks	network	NOUN
cana-2013	64	16	without	without	ADP
cana-2013	64	17	size	size	NOUN
cana-2013	64	18	can	can	AUX
cana-2013	64	19	be	be	AUX
cana-2013	64	20	powerful	powerful	ADJ
cana-2013	64	21	and	and	CCONJ
cana-2013	64	22	assortative	assortative	ADJ
cana-2013	64	23	.	.	PUNCT
cana-2013	65	1	they	they	PRON
cana-2013	65	2	explore	explore	VERB
cana-2013	65	3	how	how	SCONJ
cana-2013	65	4	diffusive	diffusive	ADJ
cana-2013	65	5	oddities	oddity	NOUN
cana-2013	65	6	,	,	PUNCT
cana-2013	65	7	such	such	ADJ
cana-2013	65	8	as	as	ADP
cana-2013	65	9	diseases	disease	NOUN
cana-2013	65	10	,	,	PUNCT
cana-2013	65	11	are	be	AUX
cana-2013	65	12	disseminated	disseminate	VERB
cana-2013	65	13	,	,	PUNCT
cana-2013	65	14	and	and	CCONJ
cana-2013	65	15	how	how	SCONJ
cana-2013	65	16	network	network	NOUN
cana-2013	65	17	geography	geography	NOUN
cana-2013	65	18	,	,	PUNCT
cana-2013	65	19	assortativity	assortativity	NOUN
cana-2013	65	20	,	,	PUNCT
cana-2013	65	21	and	and	CCONJ
cana-2013	65	22	power	power	NOUN
cana-2013	65	23	interchange	interchange	NOUN
cana-2013	65	24	with	with	ADP
cana-2013	65	25	one	one	NUM
cana-2013	65	26	another	another	DET
cana-2013	65	27	.	.	PUNCT
cana-2013	66	1	the	the	DET
cana-2013	66	2	authors	author	NOUN
cana-2013	66	3	make	make	VERB
cana-2013	66	4	clear	clear	ADJ
cana-2013	66	5	the	the	DET
cana-2013	66	6	confusing	confusing	ADJ
cana-2013	66	7	relationship	relationship	NOUN
cana-2013	66	8	between	between	ADP
cana-2013	66	9	assortativity	assortativity	NOUN
cana-2013	66	10	and	and	CCONJ
cana-2013	66	11	sans	san	NOUN
cana-2013	66	12	scale	scale	PROPN
cana-2013	66	13	networks	network	NOUN
cana-2013	66	14	'	'	PART
cana-2013	66	15	adaptability	adaptability	NOUN
cana-2013	66	16	to	to	ADP
cana-2013	66	17	dissemination	dissemination	NOUN
cana-2013	66	18	processes	process	NOUN
cana-2013	66	19	through	through	ADP
cana-2013	66	20	theoretical	theoretical	ADJ
cana-2013	66	21	research	research	NOUN
cana-2013	66	22	and	and	CCONJ
cana-2013	66	23	mathematical	mathematical	ADJ
cana-2013	66	24	simulations	simulation	NOUN
cana-2013	66	25	.	.	PUNCT
cana-2013	67	1	according	accord	VERB
cana-2013	67	2	to	to	ADP
cana-2013	67	3	the	the	DET
cana-2013	67	4	specific	specific	ADJ
cana-2013	67	5	characteristics	characteristic	NOUN
cana-2013	67	6	of	of	ADP
cana-2013	67	7	the	the	DET
cana-2013	67	8	dissemination	dissemination	NOUN
cana-2013	67	9	interaction	interaction	NOUN
cana-2013	67	10	and	and	CCONJ
cana-2013	67	11	the	the	DET
cana-2013	67	12	network	network	NOUN
cana-2013	67	13	structure	structure	NOUN
cana-2013	67	14	,	,	PUNCT
cana-2013	67	15	assortativity	assortativity	NOUN
cana-2013	67	16	can	can	AUX
cana-2013	67	17	both	both	PRON
cana-2013	67	18	increase	increase	VERB
cana-2013	67	19	and	and	CCONJ
cana-2013	67	20	decrease	decrease	VERB
cana-2013	67	21	the	the	DET
cana-2013	67	22	power	power	NOUN
cana-2013	67	23	of	of	ADP
cana-2013	67	24	without	without	ADP
cana-2013	67	25	scale	scale	NOUN
cana-2013	67	26	networks	network	NOUN
cana-2013	67	27	,	,	PUNCT
cana-2013	67	28	as	as	SCONJ
cana-2013	67	29	demonstrated	demonstrate	VERB
cana-2013	67	30	by	by	ADP
cana-2013	67	31	their	their	PRON
cana-2013	67	32	findings	finding	NOUN
cana-2013	67	33	.	.	PUNCT
cana-2013	68	1	with	with	ADP
cana-2013	68	2	recommendations	recommendation	NOUN
cana-2013	68	3	for	for	ADP
cana-2013	68	4	many	many	ADJ
cana-2013	68	5	real	real	ADJ
cana-2013	68	6	characteristics	characteristic	NOUN
cana-2013	68	7	ranging	range	VERB
cana-2013	68	8	from	from	ADP
cana-2013	68	9	data	datum	NOUN
cana-2013	68	10	scattering	scatter	VERB
cana-2013	68	11	to	to	ADP
cana-2013	68	12	pestilence	pestilence	NOUN
cana-2013	68	13	spreading	spread	VERB
cana-2013	68	14	,	,	PUNCT
cana-2013	68	15	this	this	DET
cana-2013	68	16	study	study	NOUN
cana-2013	68	17	provides	provide	VERB
cana-2013	68	18	important	important	ADJ
cana-2013	68	19	insights	insight	NOUN
cana-2013	68	20	into	into	ADP
cana-2013	68	21	the	the	DET
cana-2013	68	22	components	component	NOUN
cana-2013	68	23	of	of	ADP
cana-2013	68	24	dispersion	dispersion	NOUN
cana-2013	68	25	in	in	ADP
cana-2013	68	26	complicated	complicated	ADJ
cana-2013	68	27	networks	network	NOUN
cana-2013	68	28	.	.	PUNCT
cana-2013	69	1	h.	h.	PROPN
cana-2013	69	2	wang	wang	PROPN
cana-2013	69	3	et	et	PROPN
cana-2013	69	4	al	al	PROPN
cana-2013	69	5	.	.	PROPN
cana-2013	70	1	(	(	PUNCT
cana-2013	70	2	2013	2013	NUM
cana-2013	70	3	)	)	PUNCT
cana-2013	70	4	examine	examine	VERB
cana-2013	70	5	how	how	SCONJ
cana-2013	70	6	the	the	DET
cana-2013	70	7	plague	plague	NOUN
cana-2013	70	8	edge	edge	NOUN
cana-2013	70	9	is	be	AUX
cana-2013	70	10	affected	affect	VERB
cana-2013	70	11	by	by	ADP
cana-2013	70	12	interconnected	interconnected	ADJ
cana-2013	70	13	network	network	NOUN
cana-2013	70	14	topologies	topology	NOUN
cana-2013	70	15	.	.	PUNCT
cana-2013	71	1	they	they	PRON
cana-2013	71	2	investigate	investigate	VERB
cana-2013	71	3	the	the	DET
cana-2013	71	4	implications	implication	NOUN
cana-2013	71	5	of	of	ADP
cana-2013	71	6	different	different	ADJ
cana-2013	71	7	network	network	NOUN
cana-2013	71	8	connectivity	connectivity	NOUN
cana-2013	71	9	designs	design	NOUN
cana-2013	71	10	for	for	ADP
cana-2013	71	11	the	the	DET
cana-2013	71	12	spread	spread	NOUN
cana-2013	71	13	of	of	ADP
cana-2013	71	14	pestilences	pestilence	NOUN
cana-2013	71	15	using	use	VERB
cana-2013	71	16	logical	logical	ADJ
cana-2013	71	17	and	and	CCONJ
cana-2013	71	18	mathematical	mathematical	ADJ
cana-2013	71	19	techniques	technique	NOUN
cana-2013	71	20	.	.	PUNCT
cana-2013	72	1	the	the	DET
cana-2013	72	2	review	review	NOUN
cana-2013	72	3	reveals	reveal	VERB
cana-2013	72	4	that	that	SCONJ
cana-2013	72	5	a	a	DET
cana-2013	72	6	major	major	ADJ
cana-2013	72	7	factor	factor	NOUN
cana-2013	72	8	in	in	ADP
cana-2013	72	9	determining	determine	VERB
cana-2013	72	10	the	the	DET
cana-2013	72	11	plague	plague	NOUN
cana-2013	72	12	edge	edge	NOUN
cana-2013	72	13	—	—	PUNCT
cana-2013	72	14	the	the	DET
cana-2013	72	15	fundamental	fundamental	ADJ
cana-2013	72	16	rate	rate	NOUN
cana-2013	72	17	of	of	ADP
cana-2013	72	18	transmission	transmission	NOUN
cana-2013	72	19	at	at	ADP
cana-2013	72	20	which	which	PRON
cana-2013	72	21	a	a	DET
cana-2013	72	22	disease	disease	NOUN
cana-2013	72	23	transitions	transition	NOUN
cana-2013	72	24	from	from	ADP
cana-2013	72	25	localised	localised	ADJ
cana-2013	72	26	outbreaks	outbreak	NOUN
cana-2013	72	27	to	to	ADP
cana-2013	72	28	a	a	DET
cana-2013	72	29	widespread	widespread	ADJ
cana-2013	72	30	epidemic	epidemic	NOUN
cana-2013	72	31	—	—	PUNCT
cana-2013	72	32	is	be	AUX
cana-2013	72	33	the	the	DET
cana-2013	72	34	topography	topography	NOUN
cana-2013	72	35	of	of	ADP
cana-2013	72	36	interconnected	interconnected	ADJ
cana-2013	72	37	networks	network	NOUN
cana-2013	72	38	.	.	PUNCT
cana-2013	73	1	through	through	ADP
cana-2013	73	2	consideration	consideration	NOUN
cana-2013	73	3	of	of	ADP
cana-2013	73	4	many	many	ADJ
cana-2013	73	5	interrelated	interrelated	ADJ
cana-2013	73	6	network	network	NOUN
cana-2013	73	7	models	model	NOUN
cana-2013	73	8	,	,	PUNCT
cana-2013	73	9	the	the	DET
cana-2013	73	10	authors	author	NOUN
cana-2013	73	11	provide	provide	VERB
cana-2013	73	12	insights	insight	NOUN
cana-2013	73	13	into	into	ADP
cana-2013	73	14	the	the	DET
cana-2013	73	15	factors	factor	NOUN
cana-2013	73	16	influencing	influence	VERB
cana-2013	73	17	plague	plague	NOUN
cana-2013	73	18	elements	element	NOUN
cana-2013	73	19	in	in	ADP
cana-2013	73	20	complex	complex	ADJ
cana-2013	73	21	systems	system	NOUN
cana-2013	73	22	.	.	PUNCT
cana-2013	74	1	this	this	DET
cana-2013	74	2	analysis	analysis	NOUN
cana-2013	74	3	advances	advance	VERB
cana-2013	74	4	our	our	PRON
cana-2013	74	5	understanding	understanding	NOUN
cana-2013	74	6	of	of	ADP
cana-2013	74	7	the	the	DET
cana-2013	74	8	mechanisms	mechanism	NOUN
cana-2013	74	9	by	by	ADP
cana-2013	74	10	which	which	PRON
cana-2013	74	11	scourges	scourge	NOUN
cana-2013	74	12	spread	spread	VERB
cana-2013	74	13	via	via	ADP
cana-2013	74	14	interconnected	interconnected	ADJ
cana-2013	74	15	networks	network	NOUN
cana-2013	74	16	and	and	CCONJ
cana-2013	74	17	offers	offer	VERB
cana-2013	74	18	recommendations	recommendation	NOUN
cana-2013	74	19	for	for	ADP
cana-2013	74	20	methods	method	NOUN
cana-2013	74	21	of	of	ADP
cana-2013	74	22	mitigating	mitigate	VERB
cana-2013	74	23	and	and	CCONJ
cana-2013	74	24	preventing	prevent	VERB
cana-2013	74	25	infections	infection	NOUN
cana-2013	74	26	.	.	PUNCT
cana-2013	75	1	j.	j.	PROPN
cana-2013	75	2	chen	chen	PROPN
cana-2013	75	3	et	et	PROPN
cana-2013	75	4	al	al	PROPN
cana-2013	75	5	.	.	PROPN
cana-2013	75	6	(	(	PUNCT
cana-2013	75	7	2012	2012	NUM
cana-2013	75	8	)	)	PUNCT
cana-2013	75	9	examine	examine	VERB
cana-2013	75	10	the	the	DET
cana-2013	75	11	relationship	relationship	NOUN
cana-2013	75	12	between	between	ADP
cana-2013	75	13	synchronisation	synchronisation	NOUN
cana-2013	75	14	mechanisms	mechanism	NOUN
cana-2013	75	15	on	on	ADP
cana-2013	75	16	complex	complex	ADJ
cana-2013	75	17	networks	network	NOUN
cana-2013	75	18	and	and	CCONJ
cana-2013	75	19	laplacian	laplacian	ADJ
cana-2013	75	20	spectra	spectra	NOUN
cana-2013	75	21	.	.	PUNCT
cana-2013	76	1	they	they	PRON
cana-2013	76	2	investigate	investigate	VERB
cana-2013	76	3	the	the	DET
cana-2013	76	4	emergence	emergence	NOUN
cana-2013	76	5	of	of	ADP
cana-2013	76	6	synchronisation	synchronisation	NOUN
cana-2013	76	7	oddities	oddity	NOUN
cana-2013	76	8	in	in	ADP
cana-2013	76	9	networks	network	NOUN
cana-2013	76	10	of	of	ADP
cana-2013	76	11	coupled	couple	VERB
cana-2013	76	12	dynamical	dynamical	ADJ
cana-2013	76	13	systems	system	NOUN
cana-2013	76	14	by	by	ADP
cana-2013	76	15	focusing	focus	VERB
cana-2013	76	16	on	on	ADP
cana-2013	76	17	the	the	DET
cana-2013	76	18	phantom	phantom	ADJ
cana-2013	76	19	aspects	aspect	NOUN
cana-2013	76	20	of	of	ADP
cana-2013	76	21	the	the	DET
cana-2013	76	22	network	network	NOUN
cana-2013	76	23	laplacian	laplacian	ADJ
cana-2013	76	24	framework	framework	NOUN
cana-2013	76	25	.	.	PUNCT
cana-2013	77	1	the	the	DET
cana-2013	77	2	authors	author	NOUN
cana-2013	77	3	elucidate	elucidate	VERB
cana-2013	77	4	the	the	DET
cana-2013	77	5	relationship	relationship	NOUN
cana-2013	77	6	between	between	ADP
cana-2013	77	7	network	network	NOUN
cana-2013	77	8	structure	structure	NOUN
cana-2013	77	9	,	,	PUNCT
cana-2013	77	10	laplacian	laplacian	ADJ
cana-2013	77	11	eigenvalues	eigenvalue	NOUN
cana-2013	77	12	,	,	PUNCT
cana-2013	77	13	and	and	CCONJ
cana-2013	77	14	synchronisation	synchronisation	NOUN
cana-2013	77	15	factors	factor	NOUN
cana-2013	77	16	through	through	ADP
cana-2013	77	17	theoretical	theoretical	ADJ
cana-2013	77	18	research	research	NOUN
cana-2013	77	19	and	and	CCONJ
cana-2013	77	20	mathematical	mathematical	ADJ
cana-2013	77	21	replications	replication	NOUN
cana-2013	77	22	.	.	PUNCT
cana-2013	78	1	their	their	PRON
cana-2013	78	2	analysis	analysis	NOUN
cana-2013	78	3	reveals	reveal	VERB
cana-2013	78	4	that	that	SCONJ
cana-2013	78	5	the	the	DET
cana-2013	78	6	laplacian	laplacian	PROPN
cana-2013	78	7	lattice	lattice	PROPN
cana-2013	78	8	's	's	PART
cana-2013	78	9	range	range	NOUN
cana-2013	78	10	holds	hold	VERB
cana-2013	78	11	important	important	ADJ
cana-2013	78	12	information	information	NOUN
cana-2013	78	13	on	on	ADP
cana-2013	78	14	the	the	DET
cana-2013	78	15	synchronisation	synchronisation	NOUN
cana-2013	78	16	behaviour	behaviour	NOUN
cana-2013	78	17	of	of	ADP
cana-2013	78	18	the	the	DET
cana-2013	78	19	network	network	NOUN
cana-2013	78	20	,	,	PUNCT
cana-2013	78	21	providing	provide	VERB
cana-2013	78	22	tidbits	tidbit	NOUN
cana-2013	78	23	of	of	ADP
cana-2013	78	24	insight	insight	NOUN
cana-2013	78	25	into	into	ADP
cana-2013	78	26	the	the	DET
cana-2013	78	27	conditions	condition	NOUN
cana-2013	78	28	that	that	PRON
cana-2013	78	29	allow	allow	VERB
cana-2013	78	30	synchronisation	synchronisation	NOUN
cana-2013	78	31	to	to	PART
cana-2013	78	32	occur	occur	VERB
cana-2013	78	33	in	in	ADP
cana-2013	78	34	intricate	intricate	ADJ
cana-2013	78	35	networks	network	NOUN
cana-2013	78	36	.	.	PUNCT
cana-2013	79	1	this	this	DET
cana-2013	79	2	study	study	NOUN
cana-2013	79	3	advances	advance	VERB
cana-2013	79	4	the	the	DET
cana-2013	79	5	synchronisation	synchronisation	NOUN
cana-2013	79	6	concept	concept	NOUN
cana-2013	79	7	and	and	CCONJ
cana-2013	79	8	its	its	PRON
cana-2013	79	9	applications	application	NOUN
cana-2013	79	10	in	in	ADP
cana-2013	79	11	a	a	DET
cana-2013	79	12	variety	variety	NOUN
cana-2013	79	13	of	of	ADP
cana-2013	79	14	domains	domain	NOUN
cana-2013	79	15	,	,	PUNCT
cana-2013	79	16	including	include	VERB
cana-2013	79	17	as	as	ADP
cana-2013	79	18	power	power	NOUN
cana-2013	79	19	systems	system	NOUN
cana-2013	79	20	,	,	PUNCT
cana-2013	79	21	neuroscience	neuroscience	NOUN
cana-2013	79	22	,	,	PUNCT
cana-2013	79	23	and	and	CCONJ
cana-2013	79	24	interpersonal	interpersonal	ADJ
cana-2013	79	25	organisations	organisation	NOUN
cana-2013	79	26	.	.	PUNCT
cana-2013	80	1	jini	jini	PROPN
cana-2013	80	2	and	and	CCONJ
cana-2013	80	3	hemalatha(2020	hemalatha(2020	PROPN
cana-2013	80	4	)	)	PUNCT
cana-2013	80	5	highlight	highlight	VERB
cana-2013	80	6	the	the	DET
cana-2013	80	7	excellent	excellent	ADJ
cana-2013	80	8	matching	matching	NOUN
cana-2013	80	9	of	of	ADP
cana-2013	80	10	extension	extension	NOUN
cana-2013	80	11	graphs	graph	NOUN
cana-2013	80	12	with	with	ADP
cana-2013	80	13	respect	respect	NOUN
cana-2013	80	14	to	to	ADP
cana-2013	80	15	algebraic	algebraic	ADJ
cana-2013	80	16	and	and	CCONJ
cana-2013	80	17	mathematical	mathematical	ADJ
cana-2013	80	18	variety	variety	NOUN
cana-2013	80	19	.	.	PUNCT
cana-2013	81	1	they	they	PRON
cana-2013	81	2	study	study	VERB
cana-2013	81	3	the	the	DET
cana-2013	81	4	characteristics	characteristic	NOUN
cana-2013	81	5	of	of	ADP
cana-2013	81	6	scaffold	scaffold	NOUN
cana-2013	81	7	graphs	graph	NOUN
cana-2013	81	8	and	and	CCONJ
cana-2013	81	9	provide	provide	VERB
cana-2013	81	10	algorithms	algorithm	NOUN
cana-2013	81	11	for	for	ADP
cana-2013	81	12	locating	locate	VERB
cana-2013	81	13	optimal	optimal	ADJ
cana-2013	81	14	matchings	matching	NOUN
cana-2013	81	15	in	in	ADP
cana-2013	81	16	them	they	PRON
cana-2013	81	17	.	.	PUNCT
cana-2013	82	1	the	the	DET
cana-2013	82	2	authors	author	NOUN
cana-2013	82	3	explore	explore	VERB
cana-2013	82	4	the	the	DET
cana-2013	82	5	relationships	relationship	NOUN
cana-2013	82	6	between	between	ADP
cana-2013	82	7	the	the	DET
cana-2013	82	8	algebraic	algebraic	ADJ
cana-2013	82	9	and	and	CCONJ
cana-2013	82	10	mathematical	mathematical	ADJ
cana-2013	82	11	multiplicities	multiplicity	NOUN
cana-2013	82	12	of	of	ADP
cana-2013	82	13	eigenvalues	eigenvalue	NOUN
cana-2013	82	14	in	in	ADP
cana-2013	82	15	span	span	NOUN
cana-2013	82	16	graphs	graph	NOUN
cana-2013	82	17	and	and	CCONJ
cana-2013	82	18	their	their	PRON
cana-2013	82	19	recommendations	recommendation	NOUN
cana-2013	82	20	for	for	ADP
cana-2013	82	21	remarkable	remarkable	ADJ
cana-2013	82	22	matching	matching	NOUN
cana-2013	82	23	computations	computation	NOUN
cana-2013	82	24	through	through	ADP
cana-2013	82	25	theoretical	theoretical	ADJ
cana-2013	82	26	analysis	analysis	NOUN
cana-2013	82	27	and	and	CCONJ
cana-2013	82	28	computer	computer	NOUN
cana-2013	82	29	experiments	experiment	NOUN
cana-2013	82	30	.	.	PUNCT
cana-2013	83	1	their	their	PRON
cana-2013	83	2	analysis	analysis	NOUN
cana-2013	83	3	advances	advance	VERB
cana-2013	83	4	useful	useful	ADJ
cana-2013	83	5	computations	computation	NOUN
cana-2013	83	6	for	for	ADP
cana-2013	83	7	solving	solve	VERB
cana-2013	83	8	matching	matching	NOUN
cana-2013	83	9	problems	problem	NOUN
cana-2013	83	10	in	in	ADP
cana-2013	83	11	span	span	NOUN
cana-2013	83	12	graphs	graph	NOUN
cana-2013	83	13	,	,	PUNCT
cana-2013	83	14	with	with	ADP
cana-2013	83	15	anticipated	anticipate	VERB
cana-2013	83	16	applications	application	NOUN
cana-2013	83	17	in	in	ADP
cana-2013	83	18	several	several	ADJ
cana-2013	83	19	domains	domain	NOUN
cana-2013	83	20	,	,	PUNCT
cana-2013	83	21	such	such	ADJ
cana-2013	83	22	as	as	ADP
cana-2013	83	23	computer	computer	NOUN
cana-2013	83	24	networks	network	NOUN
cana-2013	83	25	,	,	PUNCT
cana-2013	83	26	transportation	transportation	NOUN
cana-2013	83	27	systems	system	NOUN
cana-2013	83	28	,	,	PUNCT
cana-2013	83	29	and	and	CCONJ
cana-2013	83	30	human	human	ADJ
cana-2013	83	31	communications	communication	NOUN
cana-2013	83	32	on	on	ADP
cana-2013	83	33	applied	apply	VERB
cana-2013	83	34	nonlinear	nonlinear	ADJ
cana-2013	83	35	analysis	analysis	NOUN
cana-2013	83	36	issn	issn	NOUN
cana-2013	83	37	:	:	PUNCT
cana-2013	83	38	1074	1074	NUM
cana-2013	83	39	-	-	PUNCT
cana-2013	83	40	133x	133x	NUM
cana-2013	83	41	vol	vol	NOUN
cana-2013	83	42	32	32	NUM
cana-2013	83	43	no	no	NOUN
cana-2013	83	44	.	.	NOUN
cana-2013	83	45	3	3	NUM
cana-2013	83	46	(	(	PUNCT
cana-2013	83	47	2025	2025	NUM
cana-2013	83	48	)	)	PUNCT
cana-2013	83	49	528	528	NUM
cana-2013	83	50	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	83	51	networks	network	NOUN
cana-2013	83	52	.	.	PUNCT
cana-2013	84	1	this	this	DET
cana-2013	84	2	work	work	NOUN
cana-2013	84	3	advances	advance	VERB
cana-2013	84	4	our	our	PRON
cana-2013	84	5	understanding	understanding	NOUN
cana-2013	84	6	of	of	ADP
cana-2013	84	7	graph	graph	NOUN
cana-2013	84	8	matching	matching	NOUN
cana-2013	84	9	computations	computation	NOUN
cana-2013	84	10	and	and	CCONJ
cana-2013	84	11	provides	provide	VERB
cana-2013	84	12	practical	practical	ADJ
cana-2013	84	13	solutions	solution	NOUN
cana-2013	84	14	for	for	ADP
cana-2013	84	15	combinatorial	combinatorial	ADJ
cana-2013	84	16	streamlining	streamlining	NOUN
cana-2013	84	17	problems	problem	NOUN
cana-2013	84	18	in	in	ADP
cana-2013	84	19	intricate	intricate	ADJ
cana-2013	84	20	networks	network	NOUN
cana-2013	84	21	.	.	PUNCT
cana-2013	85	1	iii.graph	iii.graph	PROPN
cana-2013	85	2	theory	theory	NOUN
cana-2013	85	3	:	:	PUNCT
cana-2013	85	4	graph	graph	NOUN
cana-2013	85	5	hypothesis	hypothesis	NOUN
cana-2013	85	6	,	,	PUNCT
cana-2013	85	7	a	a	DET
cana-2013	85	8	mathematical	mathematical	ADJ
cana-2013	85	9	analysis	analysis	NOUN
cana-2013	85	10	of	of	ADP
cana-2013	85	11	numerical	numerical	ADJ
cana-2013	85	12	designs	design	NOUN
cana-2013	85	13	,	,	PUNCT
cana-2013	85	14	is	be	AUX
cana-2013	85	15	used	use	VERB
cana-2013	85	16	to	to	PART
cana-2013	85	17	show	show	VERB
cana-2013	85	18	pairwise	pairwise	NOUN
cana-2013	85	19	relationships	relationship	NOUN
cana-2013	85	20	between	between	ADP
cana-2013	85	21	things	thing	NOUN
cana-2013	85	22	.	.	PUNCT
cana-2013	86	1	a	a	DET
cana-2013	86	2	graph	graph	NOUN
cana-2013	86	3	is	be	AUX
cana-2013	86	4	made	make	VERB
cana-2013	86	5	up	up	ADP
cana-2013	86	6	of	of	ADP
cana-2013	86	7	hubs	hub	NOUN
cana-2013	86	8	,	,	PUNCT
cana-2013	86	9	or	or	CCONJ
cana-2013	86	10	vertices	vertex	NOUN
cana-2013	86	11	,	,	PUNCT
cana-2013	86	12	connected	connect	VERB
cana-2013	86	13	by	by	ADP
cana-2013	86	14	lines	line	NOUN
cana-2013	86	15	,	,	PUNCT
cana-2013	86	16	or	or	CCONJ
cana-2013	86	17	edges	edge	NOUN
cana-2013	86	18	.	.	PUNCT
cana-2013	87	1	for	for	ADP
cana-2013	87	2	example	example	NOUN
cana-2013	87	3	:	:	PUNCT
cana-2013	87	4	the	the	DET
cana-2013	87	5	konigsberg	konigsberg	PROPN
cana-2013	87	6	extension	extension	NOUN
cana-2013	87	7	is	be	AUX
cana-2013	87	8	entirely	entirely	ADV
cana-2013	87	9	replaced	replace	VERB
cana-2013	87	10	with	with	ADP
cana-2013	87	11	a	a	DET
cana-2013	87	12	graph	graph	NOUN
cana-2013	87	13	in	in	ADP
cana-2013	87	14	the	the	DET
cana-2013	87	15	above	above	ADJ
cana-2013	87	16	graphic	graphic	NOUN
cana-2013	87	17	.	.	PUNCT
cana-2013	88	1	,	,	PUNCT
cana-2013	88	2	g=	g=	PROPN
cana-2013	88	3	{	{	PUNCT
cana-2013	88	4	v	v	NOUN
cana-2013	88	5	,	,	PUNCT
cana-2013	88	6	e	e	NOUN
cana-2013	88	7	}	}	PUNCT
cana-2013	88	8	where	where	SCONJ
cana-2013	88	9	vertices	vertice	VERB
cana-2013	88	10	v=	v=	INTJ
cana-2013	88	11	{	{	PUNCT
cana-2013	88	12	w	w	PROPN
cana-2013	88	13	,	,	PUNCT
cana-2013	88	14	x	x	NOUN
cana-2013	88	15	,	,	PUNCT
cana-2013	88	16	y	y	PROPN
cana-2013	88	17	,	,	PUNCT
cana-2013	88	18	z	z	NOUN
cana-2013	88	19	}	}	PUNCT
cana-2013	88	20	are	be	AUX
cana-2013	88	21	the	the	DET
cana-2013	88	22	region	region	NOUN
cana-2013	88	23	on	on	ADP
cana-2013	88	24	either	either	DET
cana-2013	88	25	side	side	NOUN
cana-2013	88	26	of	of	ADP
cana-2013	88	27	the	the	DET
cana-2013	88	28	river	river	NOUN
cana-2013	88	29	and	and	CCONJ
cana-2013	88	30	edges	edge	NOUN
cana-2013	88	31	e	e	NOUN
cana-2013	88	32	=	=	SYM
cana-2013	88	33	{	{	PUNCT
cana-2013	88	34	e1	e1	PROPN
cana-2013	88	35	,	,	PUNCT
cana-2013	88	36	e2	e2	PROPN
cana-2013	88	37	,	,	PUNCT
cana-2013	88	38	e3	e3	NOUN
cana-2013	88	39	,	,	PUNCT
cana-2013	88	40	e4	e4	PROPN
cana-2013	88	41	,	,	PUNCT
cana-2013	88	42	e5	e5	PROPN
cana-2013	88	43	,	,	PUNCT
cana-2013	88	44	e6	e6	PROPN
cana-2013	88	45	,	,	PUNCT
cana-2013	88	46	e7	e7	PROPN
cana-2013	88	47	}	}	PUNCT
cana-2013	88	48	are	be	AUX
cana-2013	88	49	the	the	DET
cana-2013	88	50	path	path	NOUN
cana-2013	88	51	over	over	ADP
cana-2013	88	52	the	the	DET
cana-2013	88	53	bridge	bridge	NOUN
cana-2013	88	54	.	.	PUNCT
cana-2013	89	1	the	the	DET
cana-2013	89	2	concept	concept	NOUN
cana-2013	89	3	of	of	ADP
cana-2013	89	4	graphs	graph	NOUN
cana-2013	89	5	in	in	ADP
cana-2013	89	6	graph	graph	NOUN
cana-2013	89	7	hypothesis	hypothesis	NOUN
cana-2013	89	8	includes	include	VERB
cana-2013	89	9	some	some	DET
cana-2013	89	10	basic	basic	ADJ
cana-2013	89	11	terminology	terminology	NOUN
cana-2013	89	12	such	such	ADJ
cana-2013	89	13	as	as	ADP
cana-2013	89	14	level	level	NOUN
cana-2013	89	15	of	of	ADP
cana-2013	89	16	vertices	vertex	NOUN
cana-2013	89	17	,	,	PUNCT
cana-2013	89	18	contiguousness	contiguousness	NUM
cana-2013	89	19	framework	framework	NOUN
cana-2013	89	20	,	,	PUNCT
cana-2013	89	21	frequency	frequency	NOUN
cana-2013	89	22	grid	grid	NOUN
cana-2013	89	23	,	,	PUNCT
cana-2013	89	24	way	way	NOUN
cana-2013	89	25	,	,	PUNCT
cana-2013	89	26	cycle	cycle	NOUN
cana-2013	89	27	,	,	PUNCT
cana-2013	89	28	walk	walk	VERB
cana-2013	89	29	,	,	PUNCT
cana-2013	89	30	and	and	CCONJ
cana-2013	89	31	so	so	ADV
cana-2013	89	32	on	on	ADV
cana-2013	89	33	.	.	PUNCT
cana-2013	90	1	it	it	PRON
cana-2013	90	2	also	also	ADV
cana-2013	90	3	includes	include	VERB
cana-2013	90	4	some	some	DET
cana-2013	90	5	basic	basic	ADJ
cana-2013	90	6	types	type	NOUN
cana-2013	90	7	of	of	ADP
cana-2013	90	8	graphs	graph	NOUN
cana-2013	90	9	.	.	PUNCT
cana-2013	91	1	as	as	ADP
cana-2013	91	2	an	an	DET
cana-2013	91	3	example	example	NOUN
cana-2013	91	4	,	,	PUNCT
cana-2013	91	5	iv.algebraic	iv.algebraic	ADV
cana-2013	91	6	graph	graph	NOUN
cana-2013	91	7	theory	theory	NOUN
cana-2013	91	8	:	:	PUNCT
cana-2013	91	9	there	there	PRON
cana-2013	91	10	are	be	VERB
cana-2013	91	11	numerous	numerous	ADJ
cana-2013	91	12	fascinating	fascinating	ADJ
cana-2013	91	13	algebraic	algebraic	ADJ
cana-2013	91	14	objects	object	NOUN
cana-2013	91	15	related	relate	VERB
cana-2013	91	16	to	to	ADP
cana-2013	91	17	graphs	graph	NOUN
cana-2013	91	18	,	,	PUNCT
cana-2013	91	19	and	and	CCONJ
cana-2013	91	20	algebraic	algebraic	ADJ
cana-2013	91	21	devices	device	NOUN
cana-2013	91	22	are	be	AUX
cana-2013	91	23	used	use	VERB
cana-2013	91	24	for	for	ADP
cana-2013	91	25	elaborate	elaborate	ADJ
cana-2013	91	26	proofs	proof	NOUN
cana-2013	91	27	in	in	ADP
cana-2013	91	28	algebraic	algebraic	ADJ
cana-2013	91	29	hypotheses	hypothesis	NOUN
cana-2013	91	30	.	.	PUNCT
cana-2013	92	1	there	there	PRON
cana-2013	92	2	are	be	VERB
cana-2013	92	3	currently	currently	ADV
cana-2013	92	4	more	more	ADJ
cana-2013	92	5	books	book	NOUN
cana-2013	92	6	covering	cover	VERB
cana-2013	92	7	various	various	ADJ
cana-2013	92	8	aspects	aspect	NOUN
cana-2013	92	9	of	of	ADP
cana-2013	92	10	this	this	DET
cana-2013	92	11	topic	topic	NOUN
cana-2013	92	12	.	.	PUNCT
cana-2013	93	1	the	the	DET
cana-2013	93	2	books	book	NOUN
cana-2013	93	3	written	write	VERB
cana-2013	93	4	by	by	ADP
cana-2013	93	5	the	the	DET
cana-2013	93	6	authors	author	NOUN
cana-2013	93	7	of	of	ADP
cana-2013	93	8	the	the	DET
cana-2013	93	9	algebraic	algebraic	ADJ
cana-2013	93	10	graph	graph	NOUN
cana-2013	93	11	hypothesis	hypothesis	NOUN
cana-2013	93	12	are	be	AUX
cana-2013	93	13	very	very	ADV
cana-2013	93	14	data	data	NOUN
cana-2013	93	15	-	-	PUNCT
cana-2013	93	16	rich	rich	ADJ
cana-2013	93	17	.	.	PUNCT
cana-2013	94	1	here	here	ADV
cana-2013	94	2	,	,	PUNCT
cana-2013	94	3	we	we	PRON
cana-2013	94	4	focus	focus	VERB
cana-2013	94	5	on	on	ADP
cana-2013	94	6	the	the	DET
cana-2013	94	7	investigation	investigation	NOUN
cana-2013	94	8	presented	present	VERB
cana-2013	94	9	in	in	ADP
cana-2013	94	10	algebraic	algebraic	ADJ
cana-2013	94	11	graph	graph	NOUN
cana-2013	94	12	theory	theory	NOUN
cana-2013	94	13	,	,	PUNCT
cana-2013	94	14	specifically	specifically	ADV
cana-2013	94	15	in	in	ADP
cana-2013	94	16	the	the	DET
cana-2013	94	17	areas	area	NOUN
cana-2013	94	18	of	of	ADP
cana-2013	94	19	direct	direct	ADJ
cana-2013	94	20	and	and	CCONJ
cana-2013	94	21	digest	digest	ADJ
cana-2013	94	22	polynomial	polynomial	ADJ
cana-2013	94	23	algebra	algebra	NOUN
cana-2013	94	24	.	.	PUNCT
cana-2013	95	1	before	before	ADP
cana-2013	95	2	focusing	focus	VERB
cana-2013	95	3	entirely	entirely	ADV
cana-2013	95	4	on	on	ADP
cana-2013	95	5	algebraic	algebraic	ADJ
cana-2013	95	6	graph	graph	NOUN
cana-2013	95	7	hypothesis	hypothesis	NOUN
cana-2013	95	8	,	,	PUNCT
cana-2013	95	9	a	a	DET
cana-2013	95	10	few	few	ADJ
cana-2013	95	11	basic	basic	ADJ
cana-2013	95	12	terminology	terminology	NOUN
cana-2013	95	13	and	and	CCONJ
cana-2013	95	14	models	model	NOUN
cana-2013	95	15	are	be	AUX
cana-2013	95	16	clarified	clarify	VERB
cana-2013	95	17	.	.	PUNCT
cana-2013	96	1	if	if	SCONJ
cana-2013	96	2	components	component	NOUN
cana-2013	96	3	𝑎𝑖𝑗	𝑎𝑖𝑗	NOUN
cana-2013	96	4	=	=	SYM
cana-2013	96	5	𝑎𝑗𝑖	𝑎𝑗𝑖	ADV
cana-2013	96	6	or	or	CCONJ
cana-2013	96	7	the	the	DET
cana-2013	96	8	representation	representation	NOUN
cana-2013	96	9	of	of	ADP
cana-2013	96	10	the	the	DET
cana-2013	96	11	framework	framework	NOUN
cana-2013	96	12	is	be	AUX
cana-2013	96	13	the	the	DET
cana-2013	96	14	real	real	ADJ
cana-2013	96	15	network	network	NOUN
cana-2013	96	16	,	,	PUNCT
cana-2013	96	17	then	then	ADV
cana-2013	96	18	a	a	DET
cana-2013	96	19	n	n	NOUN
cana-2013	96	20	x	x	SYM
cana-2013	96	21	n	n	NUM
cana-2013	96	22	lattice	lattice	NOUN
cana-2013	96	23	is	be	AUX
cana-2013	96	24	expected	expect	VERB
cana-2013	96	25	to	to	PART
cana-2013	96	26	be	be	AUX
cana-2013	96	27	symmetric	symmetric	ADJ
cana-2013	96	28	.	.	PUNCT
cana-2013	97	1	according	accord	VERB
cana-2013	97	2	to	to	ADP
cana-2013	97	3	graph	graph	NOUN
cana-2013	97	4	hypothesis	hypothesis	NOUN
cana-2013	97	5	,	,	PUNCT
cana-2013	97	6	the	the	DET
cana-2013	97	7	contiguousness	contiguousness	NUM
cana-2013	97	8	grid	grid	NOUN
cana-2013	97	9	of	of	ADP
cana-2013	97	10	every	every	DET
cana-2013	97	11	undirected	undirected	ADJ
cana-2013	97	12	graph	graph	NOUN
cana-2013	97	13	,	,	PUNCT
cana-2013	97	14	regardless	regardless	ADV
cana-2013	97	15	of	of	ADP
cana-2013	97	16	self	self	NOUN
cana-2013	97	17	-	-	PUNCT
cana-2013	97	18	circles	circle	NOUN
cana-2013	97	19	,	,	PUNCT
cana-2013	97	20	is	be	AUX
cana-2013	97	21	a	a	DET
cana-2013	97	22	symmetric	symmetric	ADJ
cana-2013	97	23	framework	framework	NOUN
cana-2013	97	24	.	.	PUNCT
cana-2013	98	1	the	the	DET
cana-2013	98	2	contiguousness	contiguousness	PROPN
cana-2013	98	3	grid	grid	VERB
cana-2013	98	4	in	in	ADP
cana-2013	98	5	graph	graph	NOUN
cana-2013	98	6	hypothesis	hypothesis	NOUN
cana-2013	98	7	is	be	AUX
cana-2013	98	8	a	a	DET
cana-2013	98	9	square	square	ADJ
cana-2013	98	10	network	network	NOUN
cana-2013	98	11	of	of	ADP
cana-2013	98	12	a	a	DET
cana-2013	98	13	constrained	constrain	VERB
cana-2013	98	14	graph	graph	NOUN
cana-2013	98	15	whose	whose	DET
cana-2013	98	16	components	component	NOUN
cana-2013	98	17	are	be	AUX
cana-2013	98	18	transmitted	transmit	VERB
cana-2013	98	19	as	as	ADP
cana-2013	98	20	1	1	NUM
cana-2013	98	21	in	in	ADP
cana-2013	98	22	the	the	DET
cana-2013	98	23	unlikely	unlikely	ADJ
cana-2013	98	24	event	event	NOUN
cana-2013	98	25	that	that	SCONJ
cana-2013	98	26	the	the	DET
cana-2013	98	27	graph	graph	NOUN
cana-2013	98	28	's	's	PART
cana-2013	98	29	vertex	vertex	NOUN
cana-2013	98	30	sets	set	NOUN
cana-2013	98	31	are	be	AUX
cana-2013	98	32	close	close	ADJ
cana-2013	98	33	together	together	ADV
cana-2013	98	34	;	;	PUNCT
cana-2013	98	35	otherwise	otherwise	ADV
cana-2013	98	36	,	,	PUNCT
cana-2013	98	37	it	it	PRON
cana-2013	98	38	is	be	AUX
cana-2013	98	39	zero	zero	NUM
cana-2013	98	40	.	.	PUNCT
cana-2013	99	1	for	for	ADP
cana-2013	99	2	example	example	NOUN
cana-2013	99	3	the	the	DET
cana-2013	99	4	range	range	NOUN
cana-2013	99	5	of	of	ADP
cana-2013	99	6	graph	graph	NOUN
cana-2013	99	7	is	be	AUX
cana-2013	99	8	the	the	DET
cana-2013	99	9	eigen	eigen	PROPN
cana-2013	99	10	upsides	upside	NOUN
cana-2013	99	11	of	of	ADP
cana-2013	99	12	a	a	DET
cana-2013	99	13	graph	graph	NOUN
cana-2013	99	14	's	's	PART
cana-2013	99	15	contiguousness	contiguousness	NUM
cana-2013	99	16	network	network	NOUN
cana-2013	99	17	.	.	PUNCT
cana-2013	100	1	consider	consider	VERB
cana-2013	100	2	a	a	DET
cana-2013	100	3	complete	complete	ADJ
cana-2013	100	4	graph	graph	NOUN
cana-2013	100	5	,	,	PUNCT
cana-2013	100	6	for	for	ADP
cana-2013	100	7	example	example	NOUN
cana-2013	100	8	,	,	PUNCT
cana-2013	100	9	that	that	PRON
cana-2013	100	10	has	have	VERB
cana-2013	100	11	three	three	NUM
cana-2013	100	12	vertices	vertex	NOUN
cana-2013	100	13	and	and	CCONJ
cana-2013	100	14	three	three	NUM
cana-2013	100	15	edges	edge	NOUN
cana-2013	100	16	.	.	PUNCT
cana-2013	101	1	communications	communication	NOUN
cana-2013	101	2	on	on	ADP
cana-2013	101	3	applied	apply	VERB
cana-2013	101	4	nonlinear	nonlinear	ADJ
cana-2013	101	5	analysis	analysis	NOUN
cana-2013	101	6	issn	issn	NOUN
cana-2013	101	7	:	:	PUNCT
cana-2013	101	8	1074	1074	NUM
cana-2013	101	9	-	-	PUNCT
cana-2013	101	10	133x	133x	NUM
cana-2013	101	11	vol	vol	NOUN
cana-2013	101	12	32	32	NUM
cana-2013	101	13	no	no	NOUN
cana-2013	101	14	.	.	NOUN
cana-2013	101	15	3	3	NUM
cana-2013	101	16	(	(	PUNCT
cana-2013	101	17	2025	2025	NUM
cana-2013	101	18	)	)	PUNCT
cana-2013	101	19	529	529	NUM
cana-2013	101	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	101	21	the	the	DET
cana-2013	101	22	characteristic	characteristic	ADJ
cana-2013	101	23	polynomial	polynomial	NOUN
cana-2013	101	24	of	of	ADP
cana-2013	101	25	the	the	DET
cana-2013	101	26	adjacency	adjacency	NOUN
cana-2013	101	27	matrix	matrix	NOUN
cana-2013	101	28	is	be	AUX
cana-2013	101	29	,	,	PUNCT
cana-2013	101	30	𝝀𝟑	𝝀𝟑	NOUN
cana-2013	101	31	−	−	NOUN
cana-2013	101	32	𝟑𝝀	𝟑𝝀	NOUN
cana-2013	101	33	−	−	PROPN
cana-2013	101	34	𝟐	𝟐	NUM
cana-2013	101	35	=	=	SYM
cana-2013	101	36	𝟎	𝟎	X
cana-2013	101	37	(	(	PUNCT
cana-2013	101	38	𝟏	𝟏	X
cana-2013	101	39	)	)	PUNCT
cana-2013	101	40	𝝀	𝝀	NOUN
cana-2013	101	41	=	=	SYM
cana-2013	101	42	−𝟏,−𝟏	−𝟏,−𝟏	PROPN
cana-2013	101	43	,	,	PUNCT
cana-2013	101	44	𝟐	𝟐	NUM
cana-2013	101	45	are	be	AUX
cana-2013	101	46	the	the	DET
cana-2013	101	47	graph	graph	NOUN
cana-2013	101	48	's	's	PART
cana-2013	101	49	eigen	eigen	NOUN
cana-2013	101	50	upsides	upside	NOUN
cana-2013	101	51	and	and	CCONJ
cana-2013	101	52	represent	represent	VERB
cana-2013	101	53	the	the	DET
cana-2013	101	54	graph	graph	NOUN
cana-2013	101	55	's	's	PART
cana-2013	101	56	range	range	NOUN
cana-2013	101	57	.	.	PUNCT
cana-2013	102	1	known	know	VERB
cana-2013	102	2	as	as	ADP
cana-2013	102	3	the	the	DET
cana-2013	102	4	graph	graph	NOUN
cana-2013	102	5	's	's	PART
cana-2013	102	6	degree	degree	NOUN
cana-2013	102	7	grid	grid	NOUN
cana-2013	102	8	,	,	PUNCT
cana-2013	102	9	the	the	DET
cana-2013	102	10	corner	corner	NOUN
cana-2013	102	11	-	-	PUNCT
cana-2013	102	12	to	to	ADP
cana-2013	102	13	-	-	PUNCT
cana-2013	102	14	corner	corner	NOUN
cana-2013	102	15	elements	element	NOUN
cana-2013	102	16	of	of	ADP
cana-2013	102	17	a	a	DET
cana-2013	102	18	slanting	slanting	NOUN
cana-2013	102	19	lattice	lattice	NOUN
cana-2013	102	20	in	in	ADP
cana-2013	102	21	a	a	DET
cana-2013	102	22	graph	graph	NOUN
cana-2013	102	23	hypothesis	hypothesis	NOUN
cana-2013	102	24	are	be	AUX
cana-2013	102	25	its	its	PRON
cana-2013	102	26	vertices	vertex	NOUN
cana-2013	102	27	'	'	PART
cana-2013	102	28	levels	level	NOUN
cana-2013	102	29	.	.	PUNCT
cana-2013	103	1	in	in	ADP
cana-2013	103	2	graph	graph	NOUN
cana-2013	103	3	theory	theory	NOUN
cana-2013	103	4	,	,	PUNCT
cana-2013	103	5	the	the	DET
cana-2013	103	6	laplacian	laplacian	ADJ
cana-2013	103	7	grid	grid	NOUN
cana-2013	103	8	is	be	AUX
cana-2013	103	9	represented	represent	VERB
cana-2013	103	10	as	as	ADP
cana-2013	103	11	an	an	DET
cana-2013	103	12	undirected	undirected	ADJ
cana-2013	103	13	graph	graph	NOUN
cana-2013	103	14	with	with	ADP
cana-2013	103	15	multiple	multiple	ADJ
cana-2013	103	16	edges	edge	NOUN
cana-2013	103	17	and	and	CCONJ
cana-2013	103	18	no	no	DET
cana-2013	103	19	self	self	NOUN
cana-2013	103	20	-	-	PUNCT
cana-2013	103	21	circles	circle	NOUN
cana-2013	103	22	.	.	PUNCT
cana-2013	104	1	it	it	PRON
cana-2013	104	2	is	be	AUX
cana-2013	104	3	written	write	VERB
cana-2013	104	4	as	as	ADP
cana-2013	104	5	l	l	NOUN
cana-2013	104	6	=	=	PUNCT
cana-2013	105	1	d	d	X
cana-2013	105	2	a	a	X
cana-2013	105	3	,	,	PUNCT
cana-2013	105	4	where	where	SCONJ
cana-2013	105	5	d	d	PROPN
cana-2013	105	6	denotes	denote	VERB
cana-2013	105	7	the	the	DET
cana-2013	105	8	degree	degree	NOUN
cana-2013	105	9	network	network	NOUN
cana-2013	105	10	and	and	CCONJ
cana-2013	105	11	an	an	DET
cana-2013	105	12	denotes	denote	NOUN
cana-2013	105	13	the	the	DET
cana-2013	105	14	contiguousness	contiguousness	PROPN
cana-2013	105	15	framework	framework	NOUN
cana-2013	105	16	.	.	PUNCT
cana-2013	106	1	consider	consider	VERB
cana-2013	106	2	an	an	DET
cana-2013	106	3	undirected	undirected	ADJ
cana-2013	106	4	graph	graph	NOUN
cana-2013	106	5	with	with	ADP
cana-2013	106	6	four	four	NUM
cana-2013	106	7	vertices	vertex	NOUN
cana-2013	106	8	and	and	CCONJ
cana-2013	106	9	six	six	NUM
cana-2013	106	10	edges	edge	NOUN
cana-2013	106	11	,	,	PUNCT
cana-2013	106	12	for	for	ADP
cana-2013	106	13	example	example	NOUN
cana-2013	106	14	.	.	PUNCT
cana-2013	107	1	the	the	DET
cana-2013	107	2	matrix	matrix	NOUN
cana-2013	107	3	laplacian	laplacian	NOUN
cana-2013	107	4	is	be	AUX
cana-2013	107	5	provided	provide	VERB
cana-2013	107	6	by	by	ADP
cana-2013	107	7	,	,	PUNCT
cana-2013	107	8	an	an	DET
cana-2013	107	9	undirected	undirected	ADJ
cana-2013	107	10	cyclic	cyclic	ADJ
cana-2013	107	11	group	group	NOUN
cana-2013	107	12	of	of	ADP
cana-2013	107	13	graph	graph	NOUN
cana-2013	107	14	symmetries	symmetry	NOUN
cana-2013	107	15	that	that	PRON
cana-2013	107	16	connects	connect	VERB
cana-2013	107	17	any	any	DET
cana-2013	107	18	vertex	vertex	NOUN
cana-2013	107	19	to	to	ADP
cana-2013	107	20	any	any	DET
cana-2013	107	21	other	other	ADJ
cana-2013	107	22	vertex	vertex	NOUN
cana-2013	107	23	is	be	AUX
cana-2013	107	24	known	know	VERB
cana-2013	107	25	as	as	ADP
cana-2013	107	26	the	the	DET
cana-2013	107	27	circulant	circulant	ADJ
cana-2013	107	28	graph	graph	NOUN
cana-2013	107	29	in	in	ADP
cana-2013	107	30	graph	graph	NOUN
cana-2013	107	31	theory	theory	NOUN
cana-2013	107	32	.	.	PUNCT
cana-2013	108	1	for	for	ADP
cana-2013	108	2	instance	instance	NOUN
cana-2013	108	3	,	,	PUNCT
cana-2013	108	4	from	from	ADP
cana-2013	108	5	,	,	PUNCT
cana-2013	108	6	giving	give	VERB
cana-2013	108	7	an	an	DET
cana-2013	108	8	undirected	undirected	ADJ
cana-2013	108	9	graph	graph	NOUN
cana-2013	108	10	in	in	ADP
cana-2013	108	11	graph	graph	NOUN
cana-2013	108	12	hypothesis	hypothesis	NOUN
cana-2013	108	13	an	an	DET
cana-2013	108	14	algebraic	algebraic	ADJ
cana-2013	108	15	design	design	NOUN
cana-2013	108	16	is	be	AUX
cana-2013	108	17	known	know	VERB
cana-2013	108	18	as	as	ADP
cana-2013	108	19	polynomial	polynomial	ADJ
cana-2013	108	20	math	math	NOUN
cana-2013	108	21	of	of	ADP
cana-2013	108	22	graphs	graph	NOUN
cana-2013	108	23	,	,	PUNCT
cana-2013	108	24	and	and	CCONJ
cana-2013	108	25	it	it	PRON
cana-2013	108	26	serves	serve	VERB
cana-2013	108	27	a	a	DET
cana-2013	108	28	variety	variety	NOUN
cana-2013	108	29	of	of	ADP
cana-2013	108	30	uses	use	NOUN
cana-2013	108	31	in	in	ADP
cana-2013	108	32	general	general	ADJ
cana-2013	108	33	polynomial	polynomial	ADJ
cana-2013	108	34	math	math	NOUN
cana-2013	108	35	.	.	PUNCT
cana-2013	109	1	for	for	ADP
cana-2013	109	2	example	example	NOUN
cana-2013	109	3	,	,	PUNCT
cana-2013	109	4	take	take	VERB
cana-2013	109	5	into	into	ADP
cana-2013	109	6	consideration	consideration	NOUN
cana-2013	109	7	a	a	DET
cana-2013	109	8	graph	graph	NOUN
cana-2013	109	9	g	g	NOUN
cana-2013	109	10	with	with	ADP
cana-2013	109	11	positive	positive	ADJ
cana-2013	109	12	-	-	PUNCT
cana-2013	109	13	numbered	number	VERB
cana-2013	109	14	vertices	vertex	NOUN
cana-2013	109	15	that	that	PRON
cana-2013	109	16	is	be	AUX
cana-2013	109	17	addressed	address	VERB
cana-2013	109	18	by	by	ADP
cana-2013	109	19	a	a	DET
cana-2013	109	20	pair	pair	NOUN
cana-2013	109	21	(	(	PUNCT
cana-2013	109	22	v	v	NOUN
cana-2013	109	23	,	,	PUNCT
cana-2013	109	24	e	e	NOUN
cana-2013	109	25	)	)	PUNCT
cana-2013	109	26	,	,	PUNCT
cana-2013	109	27	where	where	SCONJ
cana-2013	109	28	v	v	NOUN
cana-2013	109	29	denotes	denote	VERB
cana-2013	109	30	the	the	DET
cana-2013	109	31	vertex	vertex	NOUN
cana-2013	109	32	arrangement	arrangement	NOUN
cana-2013	109	33	and	and	CCONJ
cana-2013	109	34	e	e	NOUN
cana-2013	109	35	is	be	AUX
cana-2013	109	36	the	the	DET
cana-2013	109	37	edge	edge	NOUN
cana-2013	109	38	arrangement	arrangement	NOUN
cana-2013	109	39	(	(	PUNCT
cana-2013	109	40	v	v	NOUN
cana-2013	109	41	x	x	SYM
cana-2013	109	42	v	v	NOUN
cana-2013	109	43	subset	subset	NOUN
cana-2013	109	44	)	)	PUNCT
cana-2013	109	45	.	.	PUNCT
cana-2013	110	1	at	at	ADP
cana-2013	110	2	that	that	DET
cana-2013	110	3	time	time	NOUN
cana-2013	110	4	,	,	PUNCT
cana-2013	110	5	the	the	DET
cana-2013	110	6	algebraic	algebraic	ADJ
cana-2013	110	7	construction	construction	NOUN
cana-2013	110	8	is	be	AUX
cana-2013	110	9	provided	provide	VERB
cana-2013	110	10	by	by	ADP
cana-2013	110	11	,	,	PUNCT
cana-2013	110	12	the	the	DET
cana-2013	110	13	structure	structure	NOUN
cana-2013	110	14	(	(	PUNCT
cana-2013	110	15	𝐺	𝐺	NOUN
cana-2013	110	16	,	,	PUNCT
cana-2013	110	17	+	+	PROPN
cana-2013	110	18	,	,	PUNCT
cana-2013	110	19	→	→	ADP
cana-2013	110	20	,	,	PUNCT
cana-2013	110	21	𝜀	𝜀	NOUN
cana-2013	110	22	)	)	PUNCT
cana-2013	110	23	introduced	introduce	VERB
cana-2013	110	24	in	in	ADP
cana-2013	110	25	the	the	DET
cana-2013	110	26	above	above	ADJ
cana-2013	110	27	satisfies	satisfy	VERB
cana-2013	110	28	the	the	DET
cana-2013	110	29	usual	usual	ADJ
cana-2013	110	30	laws	law	NOUN
cana-2013	110	31	,	,	PUNCT
cana-2013	110	32	•	•	NUM
cana-2013	110	33	𝜀	𝜀	PROPN
cana-2013	110	34	is	be	AUX
cana-2013	110	35	the	the	DET
cana-2013	110	36	empty	empty	ADJ
cana-2013	110	37	set	set	NOUN
cana-2013	110	38	of	of	ADP
cana-2013	110	39	the	the	DET
cana-2013	110	40	graph	graph	NOUN
cana-2013	110	41	.	.	PUNCT
cana-2013	111	1	•	•	NUM
cana-2013	111	2	(	(	PUNCT
cana-2013	111	3	𝐺	𝐺	NOUN
cana-2013	111	4	,	,	PUNCT
cana-2013	111	5	+	+	PROPN
cana-2013	111	6	,	,	PUNCT
cana-2013	111	7	𝜀	𝜀	NOUN
cana-2013	111	8	)	)	PUNCT
cana-2013	111	9	is	be	AUX
cana-2013	111	10	an	an	DET
cana-2013	111	11	idempotent	idempotent	ADJ
cana-2013	111	12	commutative	commutative	ADJ
cana-2013	111	13	monoid	monoid	NOUN
cana-2013	111	14	.	.	PROPN
cana-2013	112	1	•	•	PROPN
cana-2013	112	2	(	(	PUNCT
cana-2013	112	3	𝐺	𝐺	NOUN
cana-2013	112	4	,	,	PUNCT
cana-2013	112	5	→	→	PROPN
cana-2013	112	6	,	,	PUNCT
cana-2013	112	7	𝜀	𝜀	NOUN
cana-2013	112	8	)	)	PUNCT
cana-2013	112	9	is	be	AUX
cana-2013	112	10	a	a	DET
cana-2013	112	11	monoid	monoid	NOUN
cana-2013	112	12	.	.	NOUN
cana-2013	112	13	•	•	NUM
cana-2013	112	14	→	→	PUNCT
cana-2013	112	15	distributive	distributive	ADJ
cana-2013	112	16	over	over	ADP
cana-2013	112	17	+	+	ADJ
cana-2013	112	18	,	,	PUNCT
cana-2013	112	19	(	(	PUNCT
cana-2013	112	20	e.g.	e.g.	ADV
cana-2013	112	21	)	)	PUNCT
cana-2013	112	22	1	1	NUM
cana-2013	112	23	→	→	SYM
cana-2013	112	24	(	(	PUNCT
cana-2013	112	25	2	2	NUM
cana-2013	112	26	+	+	NOUN
cana-2013	112	27	3	3	NUM
cana-2013	112	28	)	)	PUNCT
cana-2013	112	29	=	=	PUNCT
cana-2013	113	1	(	(	PUNCT
cana-2013	113	2	1	1	NUM
cana-2013	113	3	→	→	SYM
cana-2013	113	4	2	2	NUM
cana-2013	113	5	)	)	PUNCT
cana-2013	113	6	+	+	CCONJ
cana-2013	113	7	(	(	PUNCT
cana-2013	113	8	1	1	NUM
cana-2013	113	9	→	→	SYM
cana-2013	113	10	3	3	NUM
cana-2013	113	11	)	)	PUNCT
cana-2013	113	12	communications	communication	NOUN
cana-2013	113	13	on	on	ADP
cana-2013	113	14	applied	apply	VERB
cana-2013	113	15	nonlinear	nonlinear	ADJ
cana-2013	113	16	analysis	analysis	NOUN
cana-2013	113	17	issn	issn	NOUN
cana-2013	113	18	:	:	PUNCT
cana-2013	113	19	1074	1074	NUM
cana-2013	113	20	-	-	PUNCT
cana-2013	113	21	133x	133x	NUM
cana-2013	113	22	vol	vol	NOUN
cana-2013	113	23	32	32	NUM
cana-2013	113	24	no	no	NOUN
cana-2013	113	25	.	.	NOUN
cana-2013	113	26	3	3	NUM
cana-2013	113	27	(	(	PUNCT
cana-2013	113	28	2025	2025	NUM
cana-2013	113	29	)	)	PUNCT
cana-2013	113	30	530	530	NUM
cana-2013	113	31	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	113	32	a.	a.	NOUN
cana-2013	113	33	study	study	NOUN
cana-2013	113	34	of	of	ADP
cana-2013	113	35	graph	graph	NOUN
cana-2013	113	36	theory	theory	NOUN
cana-2013	113	37	using	use	VERB
cana-2013	113	38	linear	linear	PROPN
cana-2013	113	39	algebraic	algebraic	ADJ
cana-2013	113	40	concept	concept	NOUN
cana-2013	113	41	:	:	PUNCT
cana-2013	113	42	the	the	DET
cana-2013	113	43	main	main	ADJ
cana-2013	113	44	focus	focus	NOUN
cana-2013	113	45	of	of	ADP
cana-2013	113	46	modern	modern	ADJ
cana-2013	113	47	math	math	NOUN
cana-2013	113	48	introductions	introduction	NOUN
cana-2013	113	49	is	be	AUX
cana-2013	113	50	on	on	ADP
cana-2013	113	51	straight	straight	ADJ
cana-2013	113	52	polynomial	polynomial	ADJ
cana-2013	113	53	algebra	algebra	NOUN
cana-2013	113	54	,	,	PUNCT
cana-2013	113	55	which	which	PRON
cana-2013	113	56	includes	include	VERB
cana-2013	113	57	characterising	characterise	VERB
cana-2013	113	58	basic	basic	ADJ
cana-2013	113	59	objects	object	NOUN
cana-2013	113	60	like	like	ADP
cana-2013	113	61	lines	line	NOUN
cana-2013	113	62	,	,	PUNCT
cana-2013	113	63	planes	plane	NOUN
cana-2013	113	64	,	,	PUNCT
cana-2013	113	65	and	and	CCONJ
cana-2013	113	66	curves	curve	NOUN
cana-2013	113	67	.	.	PUNCT
cana-2013	114	1	the	the	DET
cana-2013	114	2	main	main	ADJ
cana-2013	114	3	component	component	NOUN
cana-2013	114	4	of	of	ADP
cana-2013	114	5	algebraic	algebraic	ADJ
cana-2013	114	6	graph	graph	NOUN
cana-2013	114	7	hypothesis	hypothesis	NOUN
cana-2013	114	8	,	,	PUNCT
cana-2013	114	9	which	which	PRON
cana-2013	114	10	includes	include	VERB
cana-2013	114	11	the	the	DET
cana-2013	114	12	investigation	investigation	NOUN
cana-2013	114	13	of	of	ADP
cana-2013	114	14	graph	graph	NOUN
cana-2013	114	15	regarding	regard	VERB
cana-2013	114	16	straight	straight	ADJ
cana-2013	114	17	variable	variable	ADJ
cana-2013	114	18	based	base	VERB
cana-2013	114	19	math	math	NOUN
cana-2013	114	20	,	,	PUNCT
cana-2013	114	21	is	be	AUX
cana-2013	114	22	the	the	DET
cana-2013	114	23	range	range	NOUN
cana-2013	114	24	of	of	ADP
cana-2013	114	25	contiguousness	contiguousness	NUM
cana-2013	114	26	grid	grid	NOUN
cana-2013	114	27	or	or	CCONJ
cana-2013	114	28	the	the	DET
cana-2013	114	29	laplacian	laplacian	ADJ
cana-2013	114	30	lattice	lattice	NOUN
cana-2013	114	31	known	know	VERB
cana-2013	114	32	as	as	ADP
cana-2013	114	33	the	the	DET
cana-2013	114	34	"	"	PUNCT
cana-2013	114	35	ghostly	ghostly	ADJ
cana-2013	114	36	graph	graph	NOUN
cana-2013	114	37	hypothesis	hypothesis	NOUN
cana-2013	114	38	"	"	PUNCT
cana-2013	114	39	in	in	ADP
cana-2013	114	40	direct	direct	ADJ
cana-2013	114	41	variable	variable	NOUN
cana-2013	114	42	based	base	VERB
cana-2013	114	43	math	math	NOUN
cana-2013	114	44	.	.	PUNCT
cana-2013	115	1	it	it	PRON
cana-2013	115	2	is	be	AUX
cana-2013	115	3	possible	possible	ADJ
cana-2013	115	4	to	to	PART
cana-2013	115	5	factorise	factorise	VERB
cana-2013	115	6	a	a	DET
cana-2013	115	7	diagonalizable	diagonalizable	ADJ
cana-2013	115	8	network	network	NOUN
cana-2013	115	9	into	into	ADP
cana-2013	115	10	a	a	DET
cana-2013	115	11	canonical	canonical	ADJ
cana-2013	115	12	structure	structure	NOUN
cana-2013	115	13	that	that	PRON
cana-2013	115	14	addresses	address	VERB
cana-2013	115	15	the	the	DET
cana-2013	115	16	lattice	lattice	NOUN
cana-2013	115	17	to	to	ADP
cana-2013	115	18	the	the	DET
cana-2013	115	19	extent	extent	NOUN
cana-2013	115	20	that	that	SCONJ
cana-2013	115	21	its	its	PRON
cana-2013	115	22	range	range	NOUN
cana-2013	115	23	is	be	AUX
cana-2013	115	24	known	know	VERB
cana-2013	115	25	for	for	ADP
cana-2013	115	26	its	its	PRON
cana-2013	115	27	eigen	eigen	PROPN
cana-2013	115	28	values	value	NOUN
cana-2013	115	29	and	and	CCONJ
cana-2013	115	30	eigen	eigen	PROPN
cana-2013	115	31	vectors	vector	NOUN
cana-2013	115	32	.	.	PUNCT
cana-2013	116	1	the	the	DET
cana-2013	116	2	study	study	NOUN
cana-2013	116	3	of	of	ADP
cana-2013	116	4	a	a	DET
cana-2013	116	5	graph	graph	NOUN
cana-2013	116	6	's	's	PART
cana-2013	116	7	characteristics	characteristic	NOUN
cana-2013	116	8	that	that	PRON
cana-2013	116	9	are	be	AUX
cana-2013	116	10	similar	similar	ADJ
cana-2013	116	11	to	to	ADP
cana-2013	116	12	its	its	PRON
cana-2013	116	13	eigen	eigen	PROPN
cana-2013	116	14	values	value	NOUN
cana-2013	116	15	,	,	PUNCT
cana-2013	116	16	eigen	eigen	PROPN
cana-2013	116	17	vectors	vector	NOUN
cana-2013	116	18	of	of	ADP
cana-2013	116	19	frameworks	framework	NOUN
cana-2013	116	20	connected	connect	VERB
cana-2013	116	21	to	to	ADP
cana-2013	116	22	the	the	DET
cana-2013	116	23	graph	graph	NOUN
cana-2013	116	24	,	,	PUNCT
cana-2013	116	25	and	and	CCONJ
cana-2013	116	26	trademark	trademark	NOUN
cana-2013	116	27	polynomial	polynomial	NOUN
cana-2013	116	28	is	be	AUX
cana-2013	116	29	known	know	VERB
cana-2013	116	30	as	as	ADP
cana-2013	116	31	"	"	PUNCT
cana-2013	116	32	ghastly	ghastly	ADV
cana-2013	116	33	graph	graph	NOUN
cana-2013	116	34	hypothesis	hypothesis	NOUN
cana-2013	116	35	.	.	PUNCT
cana-2013	116	36	"	"	PUNCT
cana-2013	117	1	the	the	DET
cana-2013	117	2	eigen	eigen	PROPN
cana-2013	117	3	values	value	NOUN
cana-2013	117	4	of	of	ADP
cana-2013	117	5	a	a	DET
cana-2013	117	6	completely	completely	ADV
cana-2013	117	7	symmetric	symmetric	ADJ
cana-2013	117	8	grid	grid	NOUN
cana-2013	117	9	are	be	AUX
cana-2013	117	10	whole	whole	ADJ
cana-2013	117	11	integers	integer	NOUN
cana-2013	117	12	that	that	PRON
cana-2013	117	13	are	be	AUX
cana-2013	117	14	algebraic	algebraic	ADJ
cana-2013	117	15	in	in	ADP
cana-2013	117	16	nature	nature	NOUN
cana-2013	117	17	and	and	CCONJ
cana-2013	117	18	symmetrically	symmetrically	ADV
cana-2013	117	19	diagonalizable	diagonalizable	ADJ
cana-2013	117	20	.	.	PUNCT
cana-2013	118	1	if	if	SCONJ
cana-2013	118	2	a	a	DET
cana-2013	118	3	limited	limited	ADJ
cana-2013	118	4	simple	simple	ADJ
cana-2013	118	5	graph	graph	NOUN
cana-2013	118	6	is	be	AUX
cana-2013	118	7	undirected	undirected	ADJ
cana-2013	118	8	,	,	PUNCT
cana-2013	118	9	its	its	PRON
cana-2013	118	10	contiguousness	contiguousness	NOUN
cana-2013	118	11	framework	framework	NOUN
cana-2013	118	12	is	be	AUX
cana-2013	118	13	an	an	DET
cana-2013	118	14	undirected	undirected	ADJ
cana-2013	118	15	(	(	PUNCT
cana-2013	118	16	0	0	NUM
cana-2013	118	17	-	-	SYM
cana-2013	118	18	1	1	NUM
cana-2013	118	19	)	)	PUNCT
cana-2013	118	20	lattice	lattice	NOUN
cana-2013	118	21	with	with	ADP
cana-2013	118	22	zeros	zero	NOUN
cana-2013	118	23	on	on	ADP
cana-2013	118	24	one	one	NUM
cana-2013	118	25	side	side	NOUN
cana-2013	118	26	of	of	ADP
cana-2013	118	27	it	it	PRON
cana-2013	118	28	,	,	PUNCT
cana-2013	118	29	and	and	CCONJ
cana-2013	118	30	the	the	DET
cana-2013	118	31	network	network	NOUN
cana-2013	118	32	is	be	AUX
cana-2013	118	33	symmetric	symmetric	ADJ
cana-2013	118	34	.	.	PUNCT
cana-2013	119	1	the	the	DET
cana-2013	119	2	relationship	relationship	NOUN
cana-2013	119	3	between	between	ADP
cana-2013	119	4	a	a	DET
cana-2013	119	5	graph	graph	NOUN
cana-2013	119	6	and	and	CCONJ
cana-2013	119	7	the	the	DET
cana-2013	119	8	eigen	eigen	PROPN
cana-2013	119	9	esteem	esteem	PROPN
cana-2013	119	10	,	,	PUNCT
cana-2013	119	11	eigen	eigen	PROPN
cana-2013	119	12	vectors	vector	NOUN
cana-2013	119	13	of	of	ADP
cana-2013	119	14	its	its	PRON
cana-2013	119	15	nearness	nearness	NOUN
cana-2013	119	16	framework	framework	NOUN
cana-2013	119	17	are	be	AUX
cana-2013	119	18	investigated	investigate	VERB
cana-2013	119	19	in	in	ADP
cana-2013	119	20	horrifying	horrifying	ADJ
cana-2013	119	21	graph	graph	NOUN
cana-2013	119	22	hypothesis	hypothesis	NOUN
cana-2013	119	23	.	.	PUNCT
cana-2013	120	1	simple	simple	ADJ
cana-2013	120	2	polynomial	polynomial	ADJ
cana-2013	120	3	calculation	calculation	NOUN
cana-2013	120	4	applied	apply	VERB
cana-2013	120	5	to	to	ADP
cana-2013	120	6	graph	graph	NOUN
cana-2013	120	7	hypothesis	hypothesis	NOUN
cana-2013	120	8	is	be	AUX
cana-2013	120	9	the	the	DET
cana-2013	120	10	best	good	ADJ
cana-2013	120	11	method	method	NOUN
cana-2013	120	12	for	for	ADP
cana-2013	120	13	analysing	analyse	VERB
cana-2013	120	14	traffic	traffic	NOUN
cana-2013	120	15	flow	flow	NOUN
cana-2013	120	16	in	in	ADP
cana-2013	120	17	courses	course	NOUN
cana-2013	120	18	on	on	ADP
cana-2013	120	19	networking	network	VERB
cana-2013	120	20	,	,	PUNCT
cana-2013	120	21	electronic	electronic	ADJ
cana-2013	120	22	circuits	circuit	NOUN
cana-2013	120	23	or	or	CCONJ
cana-2013	120	24	conveyance	conveyance	NOUN
cana-2013	120	25	.	.	PUNCT
cana-2013	121	1	it	it	PRON
cana-2013	121	2	is	be	AUX
cana-2013	121	3	an	an	DET
cana-2013	121	4	application	application	NOUN
cana-2013	121	5	of	of	ADP
cana-2013	121	6	graph	graph	NOUN
cana-2013	121	7	hypothesis	hypothesis	NOUN
cana-2013	121	8	to	to	ADP
cana-2013	121	9	straight	straight	ADJ
cana-2013	121	10	variable	variable	NOUN
cana-2013	121	11	based	base	VERB
cana-2013	121	12	maths	math	NOUN
cana-2013	121	13	.	.	PUNCT
cana-2013	122	1	in	in	ADP
cana-2013	122	2	order	order	NOUN
cana-2013	122	3	to	to	PART
cana-2013	122	4	handle	handle	VERB
cana-2013	122	5	this	this	DET
cana-2013	122	6	problem	problem	NOUN
cana-2013	122	7	,	,	PUNCT
cana-2013	122	8	various	various	ADJ
cana-2013	122	9	grid	grid	NOUN
cana-2013	122	10	jobs	job	NOUN
cana-2013	122	11	that	that	PRON
cana-2013	122	12	are	be	AUX
cana-2013	122	13	well	well	ADV
cana-2013	122	14	-	-	PUNCT
cana-2013	122	15	characterized	characterize	VERB
cana-2013	122	16	on	on	ADP
cana-2013	122	17	the	the	DET
cana-2013	122	18	nearness	nearness	NOUN
cana-2013	122	19	framework	framework	NOUN
cana-2013	122	20	are	be	AUX
cana-2013	122	21	considered	consider	VERB
cana-2013	122	22	and	and	CCONJ
cana-2013	122	23	a	a	DET
cana-2013	122	24	numerical	numerical	ADJ
cana-2013	122	25	approach	approach	NOUN
cana-2013	122	26	to	to	ADP
cana-2013	122	27	addressing	address	VERB
cana-2013	122	28	a	a	DET
cana-2013	122	29	graph	graph	NOUN
cana-2013	122	30	is	be	AUX
cana-2013	122	31	outlined	outline	VERB
cana-2013	122	32	.	.	PUNCT
cana-2013	123	1	the	the	DET
cana-2013	123	2	relationships	relationship	NOUN
cana-2013	123	3	between	between	ADP
cana-2013	123	4	graph	graph	NOUN
cana-2013	123	5	hypothesis	hypothesis	NOUN
cana-2013	123	6	associated	associate	VERB
cana-2013	123	7	with	with	ADP
cana-2013	123	8	network	network	NOUN
cana-2013	123	9	depictions	depiction	NOUN
cana-2013	123	10	and	and	CCONJ
cana-2013	123	11	the	the	DET
cana-2013	123	12	framework	framework	NOUN
cana-2013	123	13	properties	property	NOUN
cana-2013	123	14	investigated	investigate	VERB
cana-2013	123	15	in	in	ADP
cana-2013	123	16	straight	straight	ADJ
cana-2013	123	17	variable	variable	NOUN
cana-2013	123	18	based	base	VERB
cana-2013	123	19	math	math	NOUN
cana-2013	123	20	are	be	AUX
cana-2013	123	21	explained	explain	VERB
cana-2013	123	22	by	by	ADP
cana-2013	123	23	graph	graph	NOUN
cana-2013	123	24	hypothesis	hypothesis	NOUN
cana-2013	123	25	and	and	CCONJ
cana-2013	123	26	direct	direct	ADJ
cana-2013	123	27	polynomial	polynomial	ADJ
cana-2013	123	28	math	math	NOUN
cana-2013	123	29	.	.	PUNCT
cana-2013	124	1	it	it	PRON
cana-2013	124	2	identifies	identify	VERB
cana-2013	124	3	certain	certain	ADJ
cana-2013	124	4	noteworthy	noteworthy	ADJ
cana-2013	124	5	characteristics	characteristic	NOUN
cana-2013	124	6	of	of	ADP
cana-2013	124	7	exceptional	exceptional	ADJ
cana-2013	124	8	types	type	NOUN
cana-2013	124	9	of	of	ADP
cana-2013	124	10	graphs	graph	NOUN
cana-2013	124	11	,	,	PUNCT
cana-2013	124	12	such	such	ADJ
cana-2013	124	13	as	as	ADP
cana-2013	124	14	full	full	ADJ
cana-2013	124	15	graphs	graph	NOUN
cana-2013	124	16	and	and	CCONJ
cana-2013	124	17	non	non	ADJ
cana-2013	124	18	-	-	ADJ
cana-2013	124	19	cyclic	cyclic	ADJ
cana-2013	124	20	graphs	graph	NOUN
cana-2013	124	21	,	,	PUNCT
cana-2013	124	22	and	and	CCONJ
cana-2013	124	23	how	how	SCONJ
cana-2013	124	24	their	their	PRON
cana-2013	124	25	network	network	NOUN
cana-2013	124	26	properties	property	NOUN
cana-2013	124	27	reflect	reflect	VERB
cana-2013	124	28	their	their	PRON
cana-2013	124	29	specialisation	specialisation	NOUN
cana-2013	124	30	in	in	ADP
cana-2013	124	31	graph	graph	NOUN
cana-2013	124	32	theory	theory	NOUN
cana-2013	124	33	.	.	PUNCT
cana-2013	125	1	graph	graph	NOUN
cana-2013	125	2	structure	structure	NOUN
cana-2013	125	3	is	be	AUX
cana-2013	125	4	represented	represent	VERB
cana-2013	125	5	thermodynamically	thermodynamically	ADV
cana-2013	125	6	using	use	VERB
cana-2013	125	7	graph	graph	NOUN
cana-2013	125	8	polynomials	polynomial	NOUN
cana-2013	125	9	,	,	PUNCT
cana-2013	125	10	which	which	PRON
cana-2013	125	11	are	be	AUX
cana-2013	125	12	based	base	VERB
cana-2013	125	13	on	on	ADP
cana-2013	125	14	a	a	DET
cana-2013	125	15	characteristic	characteristic	ADJ
cana-2013	125	16	polynomial	polynomial	NOUN
cana-2013	125	17	from	from	ADP
cana-2013	125	18	the	the	DET
cana-2013	125	19	standard	standard	NOUN
cana-2013	125	20	the	the	DET
cana-2013	125	21	laplacian	laplacian	ADJ
cana-2013	125	22	lattice	lattice	PROPN
cana-2013	125	23	illustrates	illustrate	VERB
cana-2013	125	24	the	the	DET
cana-2013	125	25	relationship	relationship	NOUN
cana-2013	125	26	between	between	ADP
cana-2013	125	27	the	the	DET
cana-2013	125	28	polynomial	polynomial	ADJ
cana-2013	125	29	and	and	CCONJ
cana-2013	125	30	the	the	DET
cana-2013	125	31	network	network	NOUN
cana-2013	125	32	's	's	PART
cana-2013	125	33	boltzmann	boltzmann	NOUN
cana-2013	125	34	segment	segment	NOUN
cana-2013	125	35	capabilities	capability	NOUN
cana-2013	125	36	.	.	PUNCT
cana-2013	126	1	this	this	PRON
cana-2013	126	2	makes	make	VERB
cana-2013	126	3	it	it	PRON
cana-2013	126	4	possible	possible	ADJ
cana-2013	126	5	to	to	PART
cana-2013	126	6	find	find	VERB
cana-2013	126	7	the	the	DET
cana-2013	126	8	network	network	NOUN
cana-2013	126	9	's	's	PART
cana-2013	126	10	average	average	ADJ
cana-2013	126	11	energy	energy	NOUN
cana-2013	126	12	and	and	CCONJ
cana-2013	126	13	entropy	entropy	NOUN
cana-2013	126	14	,	,	PUNCT
cana-2013	126	15	among	among	ADP
cana-2013	126	16	other	other	ADJ
cana-2013	126	17	thermodynamic	thermodynamic	ADJ
cana-2013	126	18	quantities	quantity	NOUN
cana-2013	126	19	.	.	PUNCT
cana-2013	127	1	furthermore	furthermore	ADV
cana-2013	127	2	,	,	PUNCT
cana-2013	127	3	these	these	DET
cana-2013	127	4	thermodynamic	thermodynamic	ADJ
cana-2013	127	5	parameters	parameter	NOUN
cana-2013	127	6	can	can	AUX
cana-2013	127	7	be	be	AUX
cana-2013	127	8	analysed	analyse	VERB
cana-2013	127	9	with	with	ADP
cana-2013	127	10	respect	respect	NOUN
cana-2013	127	11	to	to	ADP
cana-2013	127	12	fundamental	fundamental	ADJ
cana-2013	127	13	network	network	NOUN
cana-2013	127	14	properties	property	NOUN
cana-2013	127	15	,	,	PUNCT
cana-2013	127	16	such	such	ADJ
cana-2013	127	17	as	as	ADP
cana-2013	127	18	the	the	DET
cana-2013	127	19	total	total	ADJ
cana-2013	127	20	number	number	NOUN
cana-2013	127	21	of	of	ADP
cana-2013	127	22	hubs	hub	NOUN
cana-2013	127	23	and	and	CCONJ
cana-2013	127	24	hub	hub	NOUN
cana-2013	127	25	degree	degree	NOUN
cana-2013	127	26	insights	insight	NOUN
cana-2013	127	27	for	for	ADP
cana-2013	127	28	hubs	hub	NOUN
cana-2013	127	29	connected	connect	VERB
cana-2013	127	30	by	by	ADP
cana-2013	127	31	edges	edge	NOUN
cana-2013	127	32	.	.	PUNCT
cana-2013	128	1	the	the	DET
cana-2013	128	2	following	follow	VERB
cana-2013	128	3	thermodynamic	thermodynamic	ADJ
cana-2013	128	4	representation	representation	NOUN
cana-2013	128	5	can	can	AUX
cana-2013	128	6	be	be	AUX
cana-2013	128	7	used	use	VERB
cana-2013	128	8	for	for	ADP
cana-2013	128	9	real	real	ADJ
cana-2013	128	10	time	time	NOUN
cana-2013	128	11	-	-	PUNCT
cana-2013	128	12	varying	vary	VERB
cana-2013	128	13	networks	network	NOUN
cana-2013	128	14	that	that	PRON
cana-2013	128	15	handle	handle	VERB
cana-2013	128	16	complex	complex	ADJ
cana-2013	128	17	systems	system	NOUN
cana-2013	128	18	in	in	ADP
cana-2013	128	19	both	both	CCONJ
cana-2013	128	20	the	the	DET
cana-2013	128	21	natural	natural	ADJ
cana-2013	128	22	and	and	CCONJ
cana-2013	128	23	financial	financial	ADJ
cana-2013	128	24	domains	domain	NOUN
cana-2013	128	25	.	.	PUNCT
cana-2013	129	1	a	a	DET
cana-2013	129	2	recursion	recursion	NOUN
cana-2013	129	3	equation	equation	NOUN
cana-2013	129	4	to	to	PART
cana-2013	129	5	generate	generate	VERB
cana-2013	129	6	all	all	DET
cana-2013	129	7	the	the	DET
cana-2013	129	8	identicalness	identicalness	ADJ
cana-2013	129	9	classes	class	NOUN
cana-2013	129	10	of	of	ADP
cana-2013	129	11	related	related	ADJ
cana-2013	129	12	graphs	graph	NOUN
cana-2013	129	13	with	with	ADP
cana-2013	129	14	coefficients	coefficient	NOUN
cana-2013	129	15	provided	provide	VERB
cana-2013	129	16	by	by	ADP
cana-2013	129	17	the	the	DET
cana-2013	129	18	inverses	inverse	NOUN
cana-2013	129	19	of	of	ADP
cana-2013	129	20	the	the	DET
cana-2013	129	21	sets	set	NOUN
cana-2013	129	22	of	of	ADP
cana-2013	129	23	their	their	PRON
cana-2013	129	24	gatherings	gathering	NOUN
cana-2013	129	25	of	of	ADP
cana-2013	129	26	automorphisms	automorphisms	PROPN
cana-2013	129	27	is	be	AUX
cana-2013	129	28	known	know	VERB
cana-2013	129	29	as	as	ADP
cana-2013	129	30	an	an	DET
cana-2013	129	31	algebraic	algebraic	ADJ
cana-2013	129	32	portrayal	portrayal	NOUN
cana-2013	129	33	of	of	ADP
cana-2013	129	34	graphs	graph	NOUN
cana-2013	129	35	and	and	CCONJ
cana-2013	129	36	applications	application	NOUN
cana-2013	129	37	to	to	PART
cana-2013	129	38	graph	graph	VERB
cana-2013	129	39	count	count	NOUN
cana-2013	129	40	.	.	PUNCT
cana-2013	130	1	the	the	DET
cana-2013	130	2	result	result	NOUN
cana-2013	130	3	is	be	AUX
cana-2013	130	4	used	use	VERB
cana-2013	130	5	to	to	ADP
cana-2013	130	6	the	the	DET
cana-2013	130	7	identification	identification	NOUN
cana-2013	130	8	of	of	ADP
cana-2013	130	9	related	related	ADJ
cana-2013	130	10	graphs	graph	NOUN
cana-2013	130	11	,	,	PUNCT
cana-2013	130	12	each	each	PRON
cana-2013	130	13	of	of	ADP
cana-2013	130	14	whose	whose	DET
cana-2013	130	15	biconnected	biconnecte	VERB
cana-2013	130	16	portions	portion	NOUN
cana-2013	130	17	has	have	VERB
cana-2013	130	18	an	an	DET
cana-2013	130	19	equal	equal	ADJ
cana-2013	130	20	number	number	NOUN
cana-2013	130	21	of	of	ADP
cana-2013	130	22	vertices	vertex	NOUN
cana-2013	130	23	and	and	CCONJ
cana-2013	130	24	edges	edge	NOUN
cana-2013	130	25	,	,	PUNCT
cana-2013	130	26	using	use	VERB
cana-2013	130	27	an	an	DET
cana-2013	130	28	algebraic	algebraic	ADJ
cana-2013	130	29	graph	graph	NOUN
cana-2013	130	30	representation	representation	NOUN
cana-2013	130	31	.	.	PUNCT
cana-2013	131	1	the	the	DET
cana-2013	131	2	proof	proof	NOUN
cana-2013	131	3	summarises	summarise	VERB
cana-2013	131	4	dziobek	dziobek	VERB
cana-2013	131	5	's	's	PART
cana-2013	131	6	original	original	ADJ
cana-2013	131	7	proof	proof	NOUN
cana-2013	131	8	of	of	ADP
cana-2013	131	9	cayley	cayley	NOUN
cana-2013	131	10	's	's	PART
cana-2013	131	11	equation	equation	NOUN
cana-2013	131	12	and	and	CCONJ
cana-2013	131	13	serves	serve	VERB
cana-2013	131	14	the	the	DET
cana-2013	131	15	goals	goal	NOUN
cana-2013	131	16	of	of	ADP
cana-2013	131	17	abel	abel	PROPN
cana-2013	131	18	's	's	PART
cana-2013	131	19	binomial	binomial	ADJ
cana-2013	131	20	hypothesis	hypothesis	NOUN
cana-2013	131	21	.	.	PUNCT
cana-2013	132	1	the	the	DET
cana-2013	132	2	set	set	NOUN
cana-2013	132	3	of	of	ADP
cana-2013	132	4	all	all	DET
cana-2013	132	5	m	m	NOUN
cana-2013	132	6	x	x	SYM
cana-2013	132	7	n	n	PRON
cana-2013	132	8	lattices	lattice	NOUN
cana-2013	132	9	of	of	ADP
cana-2013	132	10	0	0	NUM
cana-2013	132	11	's	's	PART
cana-2013	132	12	and	and	CCONJ
cana-2013	132	13	1	1	NUM
cana-2013	132	14	's	's	PART
cana-2013	132	15	with	with	ADP
cana-2013	132	16	ri1	ri1	NOUN
cana-2013	132	17	's	's	PART
cana-2013	132	18	in	in	ADP
cana-2013	132	19	column	column	NOUN
cana-2013	132	20	i	i	PRON
cana-2013	132	21	and	and	CCONJ
cana-2013	132	22	sj1	sj1	PROPN
cana-2013	132	23	's	's	PART
cana-2013	132	24	in	in	ADP
cana-2013	132	25	section	section	NOUN
cana-2013	132	26	j	j	PROPN
cana-2013	132	27	has	have	AUX
cana-2013	132	28	shown	show	VERB
cana-2013	132	29	fresh	fresh	ADJ
cana-2013	132	30	results	result	NOUN
cana-2013	132	31	.	.	PUNCT
cana-2013	133	1	the	the	DET
cana-2013	133	2	frameworks	framework	NOUN
cana-2013	133	3	of	of	ADP
cana-2013	133	4	zeros	zero	NOUN
cana-2013	133	5	and	and	CCONJ
cana-2013	133	6	ones	one	NOUN
cana-2013	133	7	with	with	ADP
cana-2013	133	8	fixed	fix	VERB
cana-2013	133	9	line	line	NOUN
cana-2013	133	10	and	and	CCONJ
cana-2013	133	11	segment	segment	NOUN
cana-2013	133	12	aggregate	aggregate	ADJ
cana-2013	133	13	vector	vector	NOUN
cana-2013	133	14	compose	compose	VERB
cana-2013	133	15	this	this	DET
cana-2013	133	16	set	set	NOUN
cana-2013	133	17	.	.	PUNCT
cana-2013	134	1	the	the	DET
cana-2013	134	2	results	result	NOUN
cana-2013	134	3	can	can	AUX
cana-2013	134	4	also	also	ADV
cana-2013	134	5	be	be	AUX
cana-2013	134	6	determined	determine	VERB
cana-2013	134	7	in	in	ADP
cana-2013	134	8	the	the	DET
cana-2013	134	9	bipartite	bipartite	PROPN
cana-2013	134	10	graph	graph	NOUN
cana-2013	134	11	layout	layout	NOUN
cana-2013	134	12	with	with	ADP
cana-2013	134	13	bipartition	bipartition	NOUN
cana-2013	134	14	into	into	ADP
cana-2013	134	15	m	m	PROPN
cana-2013	134	16	and	and	CCONJ
cana-2013	134	17	n	n	ADV
cana-2013	134	18	vertices	vertex	NOUN
cana-2013	134	19	with	with	ADP
cana-2013	134	20	degree	degree	NOUN
cana-2013	134	21	grouping	group	VERB
cana-2013	134	22	r	r	NOUN
cana-2013	134	23	and	and	CCONJ
cana-2013	134	24	s	s	VERB
cana-2013	134	25	independently	independently	ADV
cana-2013	134	26	.	.	PUNCT
cana-2013	135	1	it	it	PRON
cana-2013	135	2	is	be	AUX
cana-2013	135	3	also	also	ADV
cana-2013	135	4	typically	typically	ADV
cana-2013	135	5	arranged	arrange	VERB
cana-2013	135	6	as	as	ADP
cana-2013	135	7	a	a	DET
cana-2013	135	8	collection	collection	NOUN
cana-2013	135	9	of	of	ADP
cana-2013	135	10	hypergraphs	hypergraph	NOUN
cana-2013	135	11	with	with	ADP
cana-2013	135	12	n	n	NOUN
cana-2013	135	13	edges	edge	NOUN
cana-2013	135	14	whose	whose	DET
cana-2013	135	15	cardinalities	cardinality	NOUN
cana-2013	135	16	are	be	AUX
cana-2013	135	17	denoted	denote	VERB
cana-2013	135	18	as	as	ADP
cana-2013	135	19	s	s	PRON
cana-2013	135	20	and	and	CCONJ
cana-2013	135	21	m	m	NOUN
cana-2013	135	22	vertices	vertex	NOUN
cana-2013	135	23	with	with	ADP
cana-2013	135	24	degree	degree	NOUN
cana-2013	135	25	grouping	group	VERB
cana-2013	135	26	r.	r.	NOUN
cana-2013	135	27	communications	communication	NOUN
cana-2013	135	28	on	on	ADP
cana-2013	135	29	applied	apply	VERB
cana-2013	135	30	nonlinear	nonlinear	ADJ
cana-2013	135	31	analysis	analysis	NOUN
cana-2013	135	32	issn	issn	NOUN
cana-2013	135	33	:	:	PUNCT
cana-2013	135	34	1074	1074	NUM
cana-2013	135	35	-	-	PUNCT
cana-2013	135	36	133x	133x	NUM
cana-2013	135	37	vol	vol	NOUN
cana-2013	135	38	32	32	NUM
cana-2013	136	1	no	no	NOUN
cana-2013	136	2	.	.	NOUN
cana-2013	136	3	3	3	NUM
cana-2013	136	4	(	(	PUNCT
cana-2013	136	5	2025	2025	NUM
cana-2013	136	6	)	)	PUNCT
cana-2013	136	7	531	531	NUM
cana-2013	136	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	136	9	b.	b.	PROPN
cana-2013	136	10	study	study	NOUN
cana-2013	136	11	of	of	ADP
cana-2013	136	12	graph	graph	NOUN
cana-2013	136	13	theory	theory	NOUN
cana-2013	136	14	in	in	ADP
cana-2013	136	15	abstract	abstract	ADJ
cana-2013	136	16	algebra	algebra	NOUN
cana-2013	136	17	concept	concept	NOUN
cana-2013	136	18	:	:	PUNCT
cana-2013	136	19	gathering	gather	VERB
cana-2013	136	20	hypothesis	hypothesis	NOUN
cana-2013	136	21	research	research	NOUN
cana-2013	136	22	is	be	AUX
cana-2013	136	23	the	the	DET
cana-2013	136	24	study	study	NOUN
cana-2013	136	25	of	of	ADP
cana-2013	136	26	algebraic	algebraic	ADJ
cana-2013	136	27	design	design	NOUN
cana-2013	136	28	.	.	PUNCT
cana-2013	137	1	notable	notable	ADJ
cana-2013	137	2	algebraic	algebraic	ADJ
cana-2013	137	3	designs	design	NOUN
cana-2013	137	4	for	for	ADP
cana-2013	137	5	extracurricular	extracurricular	ADJ
cana-2013	137	6	activities	activity	NOUN
cana-2013	137	7	and	and	CCONJ
cana-2013	137	8	proverbs	proverb	NOUN
cana-2013	137	9	are	be	AUX
cana-2013	137	10	rings	ring	NOUN
cana-2013	137	11	and	and	CCONJ
cana-2013	137	12	fields	field	NOUN
cana-2013	137	13	.	.	PUNCT
cana-2013	138	1	investigation	investigation	NOUN
cana-2013	138	2	of	of	ADP
cana-2013	138	3	automorphism	automorphism	NOUN
cana-2013	138	4	gatherings	gathering	NOUN
cana-2013	138	5	and	and	CCONJ
cana-2013	138	6	mathematical	mathematical	ADJ
cana-2013	138	7	gathering	gathering	NOUN
cana-2013	138	8	hypotheses	hypothesis	NOUN
cana-2013	138	9	,	,	PUNCT
cana-2013	138	10	such	such	ADJ
cana-2013	138	11	as	as	ADP
cana-2013	138	12	symmetric	symmetric	ADJ
cana-2013	138	13	graphs	graph	NOUN
cana-2013	138	14	,	,	PUNCT
cana-2013	138	15	vertex	vertex	NOUN
cana-2013	138	16	-	-	PUNCT
cana-2013	138	17	transitive	transitive	ADJ
cana-2013	138	18	,	,	PUNCT
cana-2013	138	19	edge	edge	NOUN
cana-2013	138	20	-	-	PUNCT
cana-2013	138	21	transitive	transitive	ADJ
cana-2013	138	22	,	,	PUNCT
cana-2013	138	23	and	and	CCONJ
cana-2013	138	24	so	so	ADV
cana-2013	138	25	on	on	ADV
cana-2013	138	26	,	,	PUNCT
cana-2013	138	27	are	be	AUX
cana-2013	138	28	specifically	specifically	ADV
cana-2013	138	29	included	include	VERB
cana-2013	138	30	in	in	ADP
cana-2013	138	31	algebraic	algebraic	ADJ
cana-2013	138	32	graph	graph	NOUN
cana-2013	138	33	hypothesis	hypothesis	NOUN
cana-2013	138	34	in	in	ADP
cana-2013	138	35	bunch	bunch	ADJ
cana-2013	138	36	hypothesis	hypothesis	NOUN
cana-2013	138	37	.	.	PUNCT
cana-2013	139	1	the	the	DET
cana-2013	139	2	evenness	evenness	ADJ
cana-2013	139	3	quality	quality	NOUN
cana-2013	139	4	of	of	ADP
cana-2013	139	5	range	range	NOUN
cana-2013	139	6	,	,	PUNCT
cana-2013	139	7	which	which	PRON
cana-2013	139	8	may	may	AUX
cana-2013	139	9	be	be	AUX
cana-2013	139	10	found	find	VERB
cana-2013	139	11	in	in	ADP
cana-2013	139	12	its	its	PRON
cana-2013	139	13	nearness	nearness	NOUN
cana-2013	139	14	lattice	lattice	NOUN
cana-2013	139	15	,	,	PUNCT
cana-2013	139	16	is	be	AUX
cana-2013	139	17	also	also	ADV
cana-2013	139	18	related	relate	VERB
cana-2013	139	19	to	to	ADP
cana-2013	139	20	the	the	DET
cana-2013	139	21	study	study	NOUN
cana-2013	139	22	of	of	ADP
cana-2013	139	23	gathering	gather	VERB
cana-2013	139	24	hypotheses	hypothesis	NOUN
cana-2013	139	25	in	in	ADP
cana-2013	139	26	algebraic	algebraic	ADJ
cana-2013	139	27	graph	graph	NOUN
cana-2013	139	28	hypothesis	hypothesis	NOUN
cana-2013	139	29	.	.	PUNCT
cana-2013	140	1	the	the	DET
cana-2013	140	2	term	term	NOUN
cana-2013	140	3	"	"	PUNCT
cana-2013	140	4	automorphism	automorphism	NOUN
cana-2013	140	5	of	of	ADP
cana-2013	140	6	a	a	DET
cana-2013	140	7	graph	graph	NOUN
cana-2013	140	8	"	"	PUNCT
cana-2013	140	9	refers	refer	VERB
cana-2013	140	10	to	to	ADP
cana-2013	140	11	the	the	DET
cana-2013	140	12	balance	balance	NOUN
cana-2013	140	13	type	type	NOUN
cana-2013	140	14	of	of	ADP
cana-2013	140	15	a	a	DET
cana-2013	140	16	graph	graph	NOUN
cana-2013	140	17	that	that	PRON
cana-2013	140	18	is	be	AUX
cana-2013	140	19	planned	plan	VERB
cana-2013	140	20	onto	onto	ADP
cana-2013	140	21	itself	itself	PRON
cana-2013	140	22	while	while	SCONJ
cana-2013	140	23	maintaining	maintain	VERB
cana-2013	140	24	edge	edge	NOUN
cana-2013	140	25	-	-	PUNCT
cana-2013	140	26	vertex	vertex	NOUN
cana-2013	140	27	connection	connection	NOUN
cana-2013	140	28	.	.	PUNCT
cana-2013	141	1	it	it	PRON
cana-2013	141	2	can	can	AUX
cana-2013	141	3	be	be	AUX
cana-2013	141	4	used	use	VERB
cana-2013	141	5	to	to	ADP
cana-2013	141	6	both	both	CCONJ
cana-2013	141	7	coordinated	coordinated	ADJ
cana-2013	141	8	and	and	CCONJ
cana-2013	141	9	undirected	undirected	ADJ
cana-2013	141	10	graphs	graph	NOUN
cana-2013	141	11	.	.	PUNCT
cana-2013	142	1	the	the	DET
cana-2013	142	2	study	study	NOUN
cana-2013	142	3	of	of	ADP
cana-2013	142	4	finitely	finitely	ADV
cana-2013	142	5	generated	generate	VERB
cana-2013	142	6	bunches	bunche	NOUN
cana-2013	142	7	establishing	establish	VERB
cana-2013	142	8	a	a	DET
cana-2013	142	9	connection	connection	NOUN
cana-2013	142	10	between	between	ADP
cana-2013	142	11	the	the	DET
cana-2013	142	12	algebraic	algebraic	ADJ
cana-2013	142	13	characteristics	characteristic	NOUN
cana-2013	142	14	of	of	ADP
cana-2013	142	15	these	these	DET
cana-2013	142	16	groups	group	NOUN
cana-2013	142	17	and	and	CCONJ
cana-2013	142	18	the	the	DET
cana-2013	142	19	mathematical	mathematical	ADJ
cana-2013	142	20	properties	property	NOUN
cana-2013	142	21	in	in	ADP
cana-2013	142	22	which	which	PRON
cana-2013	142	23	they	they	PRON
cana-2013	142	24	operate	operate	VERB
cana-2013	142	25	.	.	PUNCT
cana-2013	143	1	a	a	DET
cana-2013	143	2	key	key	ADJ
cana-2013	143	3	idea	idea	NOUN
cana-2013	143	4	of	of	ADP
cana-2013	143	5	mathematical	mathematical	ADJ
cana-2013	143	6	graph	graph	NOUN
cana-2013	143	7	theory	theory	NOUN
cana-2013	143	8	is	be	AUX
cana-2013	143	9	that	that	SCONJ
cana-2013	143	10	finitely	finitely	ADV
cana-2013	143	11	formed	form	VERB
cana-2013	143	12	bunches	bunche	NOUN
cana-2013	143	13	themselves	themselves	PRON
cana-2013	143	14	function	function	VERB
cana-2013	143	15	as	as	ADP
cana-2013	143	16	mathematical	mathematical	ADJ
cana-2013	143	17	things	thing	NOUN
cana-2013	143	18	.	.	PUNCT
cana-2013	144	1	applications	application	NOUN
cana-2013	144	2	of	of	ADP
cana-2013	144	3	compiling	compile	VERB
cana-2013	144	4	combines	combine	NOUN
cana-2013	144	5	with	with	ADP
cana-2013	144	6	algebraic	algebraic	ADJ
cana-2013	144	7	graph	graph	NOUN
cana-2013	144	8	theory	theory	NOUN
cana-2013	144	9	to	to	PART
cana-2013	144	10	handle	handle	VERB
cana-2013	144	11	a	a	DET
cana-2013	144	12	graph	graph	NOUN
cana-2013	144	13	and	and	CCONJ
cana-2013	144	14	an	an	DET
cana-2013	144	15	example	example	NOUN
cana-2013	144	16	of	of	ADP
cana-2013	144	17	a	a	DET
cana-2013	144	18	subgroup	subgroup	NOUN
cana-2013	144	19	of	of	ADP
cana-2013	144	20	an	an	DET
cana-2013	144	21	automorphism	automorphism	NOUN
cana-2013	144	22	bunch	bunch	NOUN
cana-2013	144	23	.	.	PUNCT
cana-2013	145	1	if	if	SCONJ
cana-2013	145	2	the	the	DET
cana-2013	145	3	group	group	NOUN
cana-2013	145	4	acts	act	VERB
cana-2013	145	5	transitively	transitively	PROPN
cana-2013	145	6	on	on	ADP
cana-2013	145	7	the	the	DET
cana-2013	145	8	arrangement	arrangement	NOUN
cana-2013	145	9	of	of	ADP
cana-2013	145	10	length	length	NOUN
cana-2013	145	11	s	s	PART
cana-2013	145	12	paths	path	NOUN
cana-2013	145	13	in	in	ADP
cana-2013	145	14	the	the	DET
cana-2013	145	15	graph	graph	NOUN
cana-2013	145	16	,	,	PUNCT
cana-2013	145	17	it	it	PRON
cana-2013	145	18	is	be	AUX
cana-2013	145	19	referred	refer	VERB
cana-2013	145	20	to	to	ADP
cana-2013	145	21	as	as	ADP
cana-2013	145	22	s	s	NOUN
cana-2013	145	23	-	-	NOUN
cana-2013	145	24	transitively	transitively	NOUN
cana-2013	145	25	on	on	ADP
cana-2013	145	26	the	the	DET
cana-2013	145	27	graph	graph	NOUN
cana-2013	145	28	.	.	PUNCT
cana-2013	146	1	this	this	PRON
cana-2013	146	2	is	be	AUX
cana-2013	146	3	shown	show	VERB
cana-2013	146	4	as	as	ADP
cana-2013	146	5	a	a	DET
cana-2013	146	6	hypothesis	hypothesis	NOUN
cana-2013	146	7	for	for	ADP
cana-2013	146	8	a	a	DET
cana-2013	146	9	1transitive	1transitive	NUM
cana-2013	146	10	gathering	gathering	NOUN
cana-2013	146	11	,	,	PUNCT
cana-2013	146	12	where	where	SCONJ
cana-2013	146	13	s	s	PRON
cana-2013	146	14	will	will	AUX
cana-2013	146	15	be	be	AUX
cana-2013	146	16	the	the	DET
cana-2013	146	17	largest	large	ADJ
cana-2013	146	18	integer	integer	NOUN
cana-2013	146	19	such	such	ADJ
cana-2013	146	20	that	that	SCONJ
cana-2013	146	21	the	the	DET
cana-2013	146	22	subgroup	subgroup	NOUN
cana-2013	146	23	operates	operate	VERB
cana-2013	146	24	in	in	ADP
cana-2013	146	25	an	an	DET
cana-2013	146	26	s	s	NOUN
cana-2013	146	27	-	-	PUNCT
cana-2013	146	28	transitive	transitive	ADJ
cana-2013	146	29	manner	manner	NOUN
cana-2013	146	30	in	in	ADP
cana-2013	146	31	the	the	DET
cana-2013	146	32	end	end	NOUN
cana-2013	146	33	.	.	PUNCT
cana-2013	147	1	a	a	DET
cana-2013	147	2	hypothetical	hypothetical	ADJ
cana-2013	147	3	result	result	NOUN
cana-2013	147	4	about	about	ADP
cana-2013	147	5	the	the	DET
cana-2013	147	6	degree	degree	NOUN
cana-2013	147	7	succession	succession	NOUN
cana-2013	147	8	,	,	PUNCT
cana-2013	147	9	vertex	vertex	NOUN
cana-2013	147	10	colorings	coloring	NOUN
cana-2013	147	11	,	,	PUNCT
cana-2013	147	12	and	and	CCONJ
cana-2013	147	13	vertex	vertex	NOUN
cana-2013	147	14	freedom	freedom	NOUN
cana-2013	147	15	number	number	NOUN
cana-2013	147	16	—	—	PUNCT
cana-2013	147	17	which	which	PRON
cana-2013	147	18	are	be	AUX
cana-2013	147	19	used	use	VERB
cana-2013	147	20	to	to	PART
cana-2013	147	21	infer	infer	VERB
cana-2013	147	22	hypotheses	hypothesis	NOUN
cana-2013	147	23	about	about	ADP
cana-2013	147	24	restricted	restricted	ADJ
cana-2013	147	25	gatherings	gathering	NOUN
cana-2013	147	26	—	—	PUNCT
cana-2013	147	27	occurs	occur	VERB
cana-2013	147	28	when	when	SCONJ
cana-2013	147	29	graph	graph	NOUN
cana-2013	147	30	hypothesis	hypothesis	NOUN
cana-2013	147	31	is	be	AUX
cana-2013	147	32	applied	apply	VERB
cana-2013	147	33	to	to	ADP
cana-2013	147	34	limited	limited	ADJ
cana-2013	147	35	bunches	bunche	NOUN
cana-2013	147	36	.	.	PUNCT
cana-2013	148	1	a	a	DET
cana-2013	148	2	numerical	numerical	ADJ
cana-2013	148	3	plan	plan	NOUN
cana-2013	148	4	for	for	ADP
cana-2013	148	5	determining	determine	VERB
cana-2013	148	6	the	the	DET
cana-2013	148	7	boundary	boundary	NOUN
cana-2013	148	8	between	between	ADP
cana-2013	148	9	living	living	NOUN
cana-2013	148	10	and	and	CCONJ
cana-2013	148	11	non	non	ADJ
cana-2013	148	12	-	-	ADJ
cana-2013	148	13	living	living	ADJ
cana-2013	148	14	systems	system	NOUN
cana-2013	148	15	is	be	AUX
cana-2013	148	16	provided	provide	VERB
cana-2013	148	17	by	by	ADP
cana-2013	148	18	the	the	DET
cana-2013	148	19	survey	survey	NOUN
cana-2013	148	20	and	and	CCONJ
cana-2013	148	21	application	application	NOUN
cana-2013	148	22	of	of	ADP
cana-2013	148	23	hypothesis	hypothesis	NOUN
cana-2013	148	24	gathering	gather	VERB
cana-2013	148	25	to	to	ADP
cana-2013	148	26	subatomic	subatomic	ADJ
cana-2013	148	27	systems	system	NOUN
cana-2013	148	28	science	science	NOUN
cana-2013	148	29	.	.	PUNCT
cana-2013	149	1	in	in	ADP
cana-2013	149	2	this	this	DET
cana-2013	149	3	collection	collection	NOUN
cana-2013	149	4	of	of	ADP
cana-2013	149	5	hypotheses	hypothesis	NOUN
cana-2013	149	6	,	,	PUNCT
cana-2013	149	7	subatomic	subatomic	ADJ
cana-2013	149	8	systems	system	NOUN
cana-2013	149	9	science	science	NOUN
cana-2013	149	10	is	be	AUX
cana-2013	149	11	used	use	VERB
cana-2013	149	12	using	use	VERB
cana-2013	149	13	unique	unique	ADJ
cana-2013	149	14	variable	variable	NOUN
cana-2013	149	15	-	-	PUNCT
cana-2013	149	16	based	base	VERB
cana-2013	149	17	mathematics	mathematic	NOUN
cana-2013	149	18	.	.	PUNCT
cana-2013	150	1	v.definitions	v.definition	NOUN
cana-2013	150	2	a.	a.	NOUN
cana-2013	150	3	graph	graph	NOUN
cana-2013	150	4	theory	theory	NOUN
cana-2013	150	5	basics	basic	NOUN
cana-2013	150	6	an	an	DET
cana-2013	150	7	assortment	assortment	NOUN
cana-2013	150	8	of	of	ADP
cana-2013	150	9	center	center	ADJ
cana-2013	150	10	points	point	NOUN
cana-2013	150	11	joined	join	VERB
cana-2013	150	12	by	by	ADP
cana-2013	150	13	an	an	DET
cana-2013	150	14	enormous	enormous	ADJ
cana-2013	150	15	number	number	NOUN
cana-2013	150	16	of	of	ADP
cana-2013	150	17	associations	association	NOUN
cana-2013	150	18	g	g	PROPN
cana-2013	150	19	(	(	PUNCT
cana-2013	150	20	n	n	CCONJ
cana-2013	150	21	,	,	PUNCT
cana-2013	150	22	l	l	NOUN
cana-2013	150	23	)	)	PUNCT
cana-2013	150	24	structure	structure	NOUN
cana-2013	150	25	a	a	DET
cana-2013	150	26	graph	graph	NOUN
cana-2013	150	27	g.	g.	PROPN
cana-2013	150	28	suppose	suppose	VERB
cana-2013	150	29	there	there	PRON
cana-2013	150	30	are	be	VERB
cana-2013	150	31	two	two	NUM
cana-2013	150	32	networks	network	NOUN
cana-2013	150	33	,	,	PUNCT
cana-2013	150	34	g1	g1	PROPN
cana-2013	150	35	=	=	SYM
cana-2013	150	36	(	(	PUNCT
cana-2013	150	37	n1,l1	n1,l1	PROPN
cana-2013	150	38	)	)	PUNCT
cana-2013	150	39	and	and	CCONJ
cana-2013	150	40	g2	g2	PROPN
cana-2013	150	41	=	=	PUNCT
cana-2013	150	42	(	(	PUNCT
cana-2013	150	43	n2,l2	n2,l2	PROPN
cana-2013	150	44	)	)	PUNCT
cana-2013	150	45	,	,	PUNCT
cana-2013	150	46	each	each	PRON
cana-2013	150	47	having	have	VERB
cana-2013	150	48	an	an	DET
cana-2013	150	49	enormous	enormous	ADJ
cana-2013	150	50	number	number	NOUN
cana-2013	150	51	of	of	ADP
cana-2013	150	52	center	center	ADJ
cana-2013	150	53	points	point	NOUN
cana-2013	150	54	(	(	PUNCT
cana-2013	150	55	n1	n1	NOUN
cana-2013	150	56	,	,	PUNCT
cana-2013	150	57	n2	n2	ADJ
cana-2013	150	58	)	)	PUNCT
cana-2013	150	59	and	and	CCONJ
cana-2013	150	60	associations	association	NOUN
cana-2013	150	61	(	(	PUNCT
cana-2013	150	62	l1,l2	l1,l2	PROPN
cana-2013	150	63	)	)	PUNCT
cana-2013	150	64	in	in	ADP
cana-2013	150	65	confinement	confinement	NOUN
cana-2013	150	66	.	.	PUNCT
cana-2013	151	1	to	to	PART
cana-2013	151	2	keep	keep	VERB
cana-2013	151	3	things	thing	NOUN
cana-2013	151	4	basic	basic	ADJ
cana-2013	151	5	,	,	PUNCT
cana-2013	151	6	we	we	PRON
cana-2013	151	7	will	will	AUX
cana-2013	151	8	accept	accept	VERB
cana-2013	151	9	that	that	SCONJ
cana-2013	151	10	each	each	DET
cana-2013	151	11	reliance	reliance	NOUN
cana-2013	151	12	association	association	NOUN
cana-2013	151	13	in	in	ADP
cana-2013	151	14	the	the	DET
cana-2013	151	15	going	go	VERB
cana-2013	151	16	with	with	ADP
cana-2013	151	17	is	be	AUX
cana-2013	151	18	symmetric	symmetric	ADJ
cana-2013	151	19	,	,	PUNCT
cana-2013	151	20	implying	imply	VERB
cana-2013	151	21	that	that	SCONJ
cana-2013	151	22	all	all	DET
cana-2013	151	23	networks	network	NOUN
cana-2013	151	24	are	be	AUX
cana-2013	151	25	undirected	undirected	ADJ
cana-2013	151	26	,	,	PUNCT
cana-2013	151	27	for	for	ADP
cana-2013	151	28	instance	instance	NOUN
cana-2013	151	29	.	.	PUNCT
cana-2013	152	1	n	n	NOUN
cana-2013	152	2	=	=	SYM
cana-2013	152	3	n1	n1	PROPN
cana-2013	152	4	∪	∪	NOUN
cana-2013	152	5	n2	n2	NOUN
cana-2013	152	6	and	and	CCONJ
cana-2013	152	7	l	l	NOUN
cana-2013	152	8	=	=	SYM
cana-2013	152	9	l1	l1	PROPN
cana-2013	152	10	∪	∪	PROPN
cana-2013	152	11	l2	l2	PROPN
cana-2013	152	12	∪	∪	X
cana-2013	152	13	l12	l12	NOUN
cana-2013	152	14	make	make	VERB
cana-2013	152	15	up	up	ADP
cana-2013	152	16	the	the	DET
cana-2013	152	17	worldwide	worldwide	ADJ
cana-2013	152	18	system	system	NOUN
cana-2013	152	19	that	that	PRON
cana-2013	152	20	outcomes	outcome	NOUN
cana-2013	152	21	from	from	ADP
cana-2013	152	22	the	the	DET
cana-2013	152	23	association	association	NOUN
cana-2013	152	24	of	of	ADP
cana-2013	152	25	the	the	DET
cana-2013	152	26	two	two	NUM
cana-2013	152	27	networks	network	NOUN
cana-2013	152	28	,	,	PUNCT
cana-2013	152	29	which	which	PRON
cana-2013	152	30	is	be	AUX
cana-2013	152	31	network	network	NOUN
cana-2013	152	32	g	g	PROPN
cana-2013	152	33	with	with	ADP
cana-2013	152	34	n1	n1	PROPN
cana-2013	152	35	∪	∪	ADJ
cana-2013	152	36	n2	n2	ADJ
cana-2013	152	37	center	center	NOUN
cana-2013	152	38	points	point	NOUN
cana-2013	152	39	and	and	CCONJ
cana-2013	152	40	l1	l1	PROPN
cana-2013	152	41	∪	∪	PROPN
cana-2013	152	42	l2	l2	PROPN
cana-2013	152	43	"	"	PUNCT
cana-2013	152	44	intralinks	intralink	NOUN
cana-2013	152	45	"	"	PUNCT
cana-2013	152	46	notwithstanding	notwithstanding	ADP
cana-2013	152	47	unique	unique	ADJ
cana-2013	152	48	"	"	PUNCT
cana-2013	152	49	interlinks	interlink	NOUN
cana-2013	152	50	"	"	PUNCT
cana-2013	152	51	l12	l12	NOUN
cana-2013	152	52	joining	join	VERB
cana-2013	152	53	the	the	DET
cana-2013	152	54	two	two	NUM
cana-2013	152	55	networks	network	NOUN
cana-2013	152	56	.	.	PUNCT
cana-2013	153	1	therefore	therefore	ADV
cana-2013	153	2	,	,	PUNCT
cana-2013	153	3	(	(	PUNCT
cana-2013	153	4	n	n	X
cana-2013	153	5	,	,	PUNCT
cana-2013	153	6	l	l	NOUN
cana-2013	153	7	)	)	PUNCT
cana-2013	153	8	=	=	SYM
cana-2013	153	9	g	g	PROPN
cana-2013	153	10	def	def	PROPN
cana-2013	153	11	=	=	SYM
cana-2013	153	12	(	(	PUNCT
cana-2013	153	13	n1	n1	PROPN
cana-2013	153	14	∪	∪	ADJ
cana-2013	153	15	n2,l1	n2,l1	PROPN
cana-2013	153	16	∪	∪	ADJ
cana-2013	153	17	l2	l2	NOUN
cana-2013	153	18	∪	∪	X
cana-2013	153	19	l12	l12	NOUN
cana-2013	153	20	)	)	PUNCT
cana-2013	153	21	.	.	PUNCT
cana-2013	154	1	utilizing	utilize	VERB
cana-2013	154	2	the	the	DET
cana-2013	154	3	accompanying	accompany	VERB
cana-2013	154	4	documentation	documentation	NOUN
cana-2013	154	5	,	,	PUNCT
cana-2013	154	6	we	we	PRON
cana-2013	154	7	can	can	AUX
cana-2013	154	8	characterize	characterize	VERB
cana-2013	154	9	ni	ni	PROPN
cana-2013	154	10	as	as	ADP
cana-2013	154	11	the	the	DET
cana-2013	154	12	quantity	quantity	NOUN
cana-2013	154	13	of	of	ADP
cana-2013	154	14	center	center	ADJ
cana-2013	154	15	points	point	NOUN
cana-2013	154	16	in	in	ADP
cana-2013	154	17	|ni	|ni	PROPN
cana-2013	154	18	|	|	ADV
cana-2013	154	19	,	,	PUNCT
cana-2013	154	20	li	li	PROPN
cana-2013	154	21	as	as	ADP
cana-2013	154	22	the	the	DET
cana-2013	154	23	quantity	quantity	NOUN
cana-2013	154	24	of	of	ADP
cana-2013	154	25	associations	association	NOUN
cana-2013	154	26	in	in	ADP
cana-2013	154	27	|li	|li	NUM
cana-2013	154	28	|	|	NOUN
cana-2013	154	29	,	,	PUNCT
cana-2013	154	30	n	n	CCONJ
cana-2013	154	31	as	as	ADP
cana-2013	154	32	n1	n1	PROPN
cana-2013	154	33	+	+	CCONJ
cana-2013	154	34	n2	n2	ADJ
cana-2013	154	35	,	,	PUNCT
cana-2013	154	36	and	and	CCONJ
cana-2013	154	37	l	l	NOUN
cana-2013	154	38	as	as	ADP
cana-2013	154	39	l1	l1	PROPN
cana-2013	154	40	+	+	CCONJ
cana-2013	154	41	l2	l2	NOUN
cana-2013	154	42	.	.	PUNCT
cana-2013	155	1	we	we	PRON
cana-2013	155	2	can	can	AUX
cana-2013	155	3	likewise	likewise	ADV
cana-2013	155	4	characterize	characterize	VERB
cana-2013	155	5	an	an	PRON
cana-2013	155	6	as	as	ADP
cana-2013	155	7	the	the	DET
cana-2013	155	8	continuity	continuity	NOUN
cana-2013	155	9	structure	structure	NOUN
cana-2013	155	10	of	of	ADP
cana-2013	155	11	the	the	DET
cana-2013	155	12	whole	whole	ADJ
cana-2013	155	13	system	system	NOUN
cana-2013	155	14	g	g	NOUN
cana-2013	155	15	,	,	PUNCT
cana-2013	155	16	whose	whose	DET
cana-2013	155	17	segments	segment	NOUN
cana-2013	155	18	or	or	CCONJ
cana-2013	155	19	parts	part	NOUN
cana-2013	155	20	are	be	AUX
cana-2013	155	21	aij	aij	NOUN
cana-2013	155	22	=	=	SYM
cana-2013	155	23	1	1	NUM
cana-2013	155	24	in	in	ADP
cana-2013	155	25	the	the	DET
cana-2013	155	26	event	event	NOUN
cana-2013	155	27	that	that	PRON
cana-2013	155	28	center	center	NOUN
cana-2013	155	29	i	i	PRON
cana-2013	155	30	is	be	AUX
cana-2013	155	31	associated	associate	VERB
cana-2013	155	32	with	with	ADP
cana-2013	155	33	center	center	PROPN
cana-2013	155	34	j	j	PROPN
cana-2013	155	35	,	,	PUNCT
cana-2013	155	36	and	and	CCONJ
cana-2013	155	37	aij	aij	PROPN
cana-2013	155	38	=	=	SYM
cana-2013	155	39	0	0	NUM
cana-2013	155	40	in	in	ADP
cana-2013	155	41	any	any	DET
cana-2013	155	42	case	case	NOUN
cana-2013	155	43	.	.	PUNCT
cana-2013	156	1	the	the	DET
cana-2013	156	2	n	n	NUM
cana-2013	156	3	×	×	NOUN
cana-2013	156	4	n	n	CCONJ
cana-2013	156	5	cross	cross	NOUN
cana-2013	156	6	section	section	NOUN
cana-2013	156	7	lattice	lattice	NOUN
cana-2013	156	8	an	an	PRON
cana-2013	156	9	is	be	AUX
cana-2013	156	10	characterized	characterize	VERB
cana-2013	156	11	as	as	ADP
cana-2013	156	12	the	the	DET
cana-2013	156	13	place	place	NOUN
cana-2013	156	14	where	where	SCONJ
cana-2013	156	15	the	the	DET
cana-2013	156	16	two	two	NUM
cana-2013	156	17	networks	network	NOUN
cana-2013	156	18	independent	independent	ADJ
cana-2013	156	19	(	(	PUNCT
cana-2013	156	20	l12	l12	NOUN
cana-2013	156	21	=	=	SYM
cana-2013	156	22	∅	∅	NOUN
cana-2013	156	23	):	):	PUNCT
cana-2013	156	24	𝑨	𝑨	PROPN
cana-2013	156	25	=	=	PUNCT
cana-2013	156	26	[	[	PUNCT
cana-2013	156	27	𝑨𝟏	𝑨𝟏	PROPN
cana-2013	156	28	𝟎	𝟎	NUM
cana-2013	156	29	𝟎	𝟎	NUM
cana-2013	156	30	𝑨𝟐	𝑨𝟐	NOUN
cana-2013	156	31	]	]	PUNCT
cana-2013	156	32	.	.	PUNCT
cana-2013	157	1	(	(	PUNCT
cana-2013	157	2	𝟐	𝟐	X
cana-2013	157	3	)	)	PUNCT
cana-2013	157	4	communications	communication	NOUN
cana-2013	157	5	on	on	ADP
cana-2013	157	6	applied	apply	VERB
cana-2013	157	7	nonlinear	nonlinear	ADJ
cana-2013	157	8	analysis	analysis	NOUN
cana-2013	157	9	issn	issn	NOUN
cana-2013	157	10	:	:	PUNCT
cana-2013	157	11	1074	1074	NUM
cana-2013	157	12	-	-	PUNCT
cana-2013	157	13	133x	133x	NUM
cana-2013	157	14	vol	vol	NOUN
cana-2013	157	15	32	32	NUM
cana-2013	157	16	no	no	NOUN
cana-2013	157	17	.	.	NOUN
cana-2013	157	18	3	3	NUM
cana-2013	157	19	(	(	PUNCT
cana-2013	157	20	2025	2025	NUM
cana-2013	157	21	)	)	PUNCT
cana-2013	157	22	532	532	NUM
cana-2013	157	23	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	158	1	the	the	DET
cana-2013	158	2	nearness	nearness	NOUN
cana-2013	158	3	grid	grid	NOUN
cana-2013	158	4	receives	receive	VERB
cana-2013	158	5	non	non	ADJ
cana-2013	158	6	-	-	ADJ
cana-2013	158	7	paltry	paltry	ADJ
cana-2013	158	8	off	off	ADP
cana-2013	158	9	-	-	PUNCT
cana-2013	158	10	block	block	NOUN
cana-2013	158	11	terms	term	NOUN
cana-2013	158	12	,	,	PUNCT
cana-2013	158	13	denoted	denote	VERB
cana-2013	158	14	by	by	ADP
cana-2013	158	15	bij	bij	NOUN
cana-2013	158	16	,	,	PUNCT
cana-2013	158	17	at	at	ADP
cana-2013	158	18	the	the	DET
cana-2013	158	19	point	point	NOUN
cana-2013	158	20	where	where	SCONJ
cana-2013	158	21	a	a	DET
cana-2013	158	22	connection	connection	NOUN
cana-2013	158	23	is	be	AUX
cana-2013	158	24	offered	offer	VERB
cana-2013	158	25	(	(	PUNCT
cana-2013	158	26	l12	l12	NOUN
cana-2013	158	27	6=	6=	NUM
cana-2013	158	28	∅	∅	NOUN
cana-2013	158	29	)	)	PUNCT
cana-2013	158	30	.	.	PUNCT
cana-2013	159	1	bij	bij	NOUN
cana-2013	159	2	is	be	AUX
cana-2013	159	3	the	the	DET
cana-2013	159	4	ni	ni	PROPN
cana-2013	159	5	×	×	PROPN
cana-2013	159	6	nj	nj	PROPN
cana-2013	159	7	interconnection	interconnection	PROPN
cana-2013	159	8	lattice	lattice	PROPN
cana-2013	159	9	that	that	PRON
cana-2013	159	10	addresses	address	VERB
cana-2013	159	11	the	the	DET
cana-2013	159	12	interlinks	interlink	NOUN
cana-2013	159	13	between	between	ADP
cana-2013	159	14	g1	g1	PROPN
cana-2013	159	15	and	and	CCONJ
cana-2013	159	16	g2	g2	PROPN
cana-2013	159	17	.	.	PUNCT
cana-2013	160	1	next	next	ADV
cana-2013	160	2	,	,	PUNCT
cana-2013	160	3	the	the	DET
cana-2013	160	4	interdependent	interdependent	ADJ
cana-2013	160	5	network	network	NOUN
cana-2013	160	6	b	b	PROPN
cana-2013	160	7	is	be	AUX
cana-2013	160	8	𝑩	𝑩	NOUN
cana-2013	160	9	=	=	PUNCT
cana-2013	160	10	[	[	PUNCT
cana-2013	160	11	𝟎	𝟎	PROPN
cana-2013	160	12	𝑩𝟏𝟐	𝑩𝟏𝟐	PROPN
cana-2013	160	13	𝑩𝟏𝟐	𝑩𝟏𝟐	PROPN
cana-2013	160	14	𝑻	𝑻	PROPN
cana-2013	160	15	𝟎	𝟎	PROPN
cana-2013	160	16	]	]	PUNCT
cana-2013	160	17	.	.	PUNCT
cana-2013	161	1	(	(	PUNCT
cana-2013	161	2	𝟑	𝟑	X
cana-2013	161	3	)	)	PUNCT
cana-2013	161	4	and	and	CCONJ
cana-2013	161	5	the	the	DET
cana-2013	161	6	overall	overall	ADJ
cana-2013	161	7	system	system	NOUN
cana-2013	161	8	's	's	PART
cana-2013	161	9	adjacency	adjacency	NOUN
cana-2013	161	10	matrix	matrix	NOUN
cana-2013	161	11	can	can	AUX
cana-2013	161	12	be	be	AUX
cana-2013	161	13	expressed	express	VERB
cana-2013	161	14	as	as	ADP
cana-2013	161	15	:	:	PUNCT
cana-2013	161	16	𝑨+∝	𝑨+∝	PROPN
cana-2013	161	17	𝑩	𝑩	PROPN
cana-2013	162	1	=	=	PUNCT
cana-2013	162	2	[	[	PUNCT
cana-2013	162	3	𝑨𝟏	𝑨𝟏	PROPN
cana-2013	162	4	∝	∝	PROPN
cana-2013	162	5	𝑩𝟏𝟐	𝑩𝟏𝟐	PROPN
cana-2013	162	6	∝	∝	PROPN
cana-2013	162	7	𝑩𝟏𝟐	𝑩𝟏𝟐	PROPN
cana-2013	162	8	𝑻	𝑻	PROPN
cana-2013	162	9	𝑨𝟐	𝑨𝟐	NOUN
cana-2013	162	10	]	]	PUNCT
cana-2013	162	11	.	.	PUNCT
cana-2013	163	1	(	(	PUNCT
cana-2013	163	2	𝟒	𝟒	X
cana-2013	163	3	)	)	PUNCT
cana-2013	163	4	where	where	SCONJ
cana-2013	163	5	α	α	NOUN
cana-2013	163	6	is	be	AUX
cana-2013	163	7	the	the	DET
cana-2013	163	8	communication	communication	NOUN
cana-2013	163	9	's	's	PART
cana-2013	163	10	coupling	coupling	NOUN
cana-2013	163	11	strength.similar	strength.similar	ADJ
cana-2013	163	12	to	to	ADP
cana-2013	163	13	the	the	DET
cana-2013	163	14	nearness	nearness	NOUN
cana-2013	163	15	lattice	lattice	NOUN
cana-2013	163	16	,	,	PUNCT
cana-2013	163	17	the	the	DET
cana-2013	163	18	laplacian	laplacian	ADJ
cana-2013	163	19	framework	framework	NOUN
cana-2013	163	20	q	q	X
cana-2013	164	1	=	=	PUNCT
cana-2013	164	2	d	d	NOUN
cana-2013	164	3	−	−	PROPN
cana-2013	164	4	a	a	PRON
cana-2013	164	5	could	could	AUX
cana-2013	164	6	be	be	AUX
cana-2013	164	7	shown	show	VERB
cana-2013	164	8	;	;	PUNCT
cana-2013	164	9	here	here	ADV
cana-2013	164	10	,	,	PUNCT
cana-2013	164	11	d	d	PRON
cana-2013	164	12	represents	represent	VERB
cana-2013	164	13	the	the	DET
cana-2013	164	14	slanting	slanting	NOUN
cana-2013	164	15	degree	degree	NOUN
cana-2013	164	16	grid	grid	NOUN
cana-2013	164	17	,	,	PUNCT
cana-2013	164	18	and	and	CCONJ
cana-2013	164	19	the	the	DET
cana-2013	164	20	level	level	NOUN
cana-2013	164	21	of	of	ADP
cana-2013	164	22	the	the	DET
cana-2013	164	23	i	i	PROPN
cana-2013	164	24	-	-	PUNCT
cana-2013	164	25	th	th	VERB
cana-2013	164	26	hub	hub	NOUN
cana-2013	164	27	is𝒅𝒊	is𝒅𝒊	NOUN
cana-2013	164	28	≝	≝	PUNCT
cana-2013	164	29	∑	∑	PUNCT
cana-2013	164	30	𝒂𝒊𝒋𝒋	𝒂𝒊𝒋𝒋	NOUN
cana-2013	164	31	.	.	PUNCT
cana-2013	165	1	in	in	ADP
cana-2013	165	2	the	the	DET
cana-2013	165	3	same	same	ADJ
cana-2013	165	4	vein	vein	NOUN
cana-2013	165	5	,	,	PUNCT
cana-2013	165	6	one	one	PRON
cana-2013	165	7	may	may	AUX
cana-2013	165	8	define	define	VERB
cana-2013	165	9	the	the	DET
cana-2013	165	10	diagonal	diagonal	ADJ
cana-2013	165	11	matrices	matrix	NOUN
cana-2013	165	12	:	:	PUNCT
cana-2013	165	13	{	{	PUNCT
cana-2013	165	14	(	(	PUNCT
cana-2013	165	15	𝑫𝟏)𝒊𝒊	𝑫𝟏)𝒊𝒊	NOUN
cana-2013	165	16	≝∑	≝∑	NOUN
cana-2013	166	1	(	(	PUNCT
cana-2013	166	2	𝑩𝟏𝟐)𝒊𝒋	𝑩𝟏𝟐)𝒊𝒋	PROPN
cana-2013	166	3	,	,	PUNCT
cana-2013	166	4	𝒋	𝒋	X
cana-2013	166	5	(	(	PUNCT
cana-2013	166	6	𝑫𝟐)𝒊𝒊	𝑫𝟐)𝒊𝒊	ADJ
cana-2013	166	7	≝∑	≝∑	INTJ
cana-2013	166	8	(	(	PUNCT
cana-2013	166	9	𝑩𝟐𝟏)𝒊𝒋	𝑩𝟐𝟏)𝒊𝒋	PROPN
cana-2013	166	10	=	=	PRON
cana-2013	166	11	∑	∑	PROPN
cana-2013	166	12	(	(	PUNCT
cana-2013	166	13	𝑩𝟏𝟐	𝑩𝟏𝟐	NOUN
cana-2013	166	14	𝑻	𝑻	PROPN
cana-2013	166	15	)	)	PUNCT
cana-2013	166	16	𝒊𝒋;𝒋𝒋	𝒊𝒋;𝒋𝒋	NOUN
cana-2013	166	17	.	.	PUNCT
cana-2013	167	1	(	(	PUNCT
cana-2013	167	2	𝟓	𝟓	X
cana-2013	167	3	)	)	PUNCT
cana-2013	167	4	moreover	moreover	ADV
cana-2013	167	5	,	,	PUNCT
cana-2013	167	6	the	the	DET
cana-2013	167	7	overall	overall	ADJ
cana-2013	167	8	system	system	NOUN
cana-2013	167	9	g	g	NOUN
cana-2013	167	10	's	's	PART
cana-2013	167	11	laplacian	laplacian	ADJ
cana-2013	167	12	q	q	NOUN
cana-2013	167	13	is	be	AUX
cana-2013	167	14	as	as	SCONJ
cana-2013	167	15	follows	follow	VERB
cana-2013	167	16	:	:	PUNCT
cana-2013	167	17	:	:	PUNCT
cana-2013	167	18	𝑸	𝑸	NOUN
cana-2013	167	19	=	=	PUNCT
cana-2013	167	20	𝑸𝑨	𝑸𝑨	PROPN
cana-2013	168	1	+	+	NOUN
cana-2013	168	2	∝	∝	NOUN
cana-2013	168	3	𝑸𝑩	𝑸𝑩	NOUN
cana-2013	168	4	=	=	PUNCT
cana-2013	169	1	[	[	PUNCT
cana-2013	169	2	𝑸𝟏	𝑸𝟏	NOUN
cana-2013	169	3	+	+	X
cana-2013	169	4	∝	∝	PROPN
cana-2013	169	5	𝑫𝟏	𝑫𝟏	PROPN
cana-2013	169	6	−∝	−∝	PROPN
cana-2013	169	7	𝑩𝟏𝟐	𝑩𝟏𝟐	PROPN
cana-2013	169	8	−∝	−∝	PROPN
cana-2013	169	9	𝑩𝟏𝟐	𝑩𝟏𝟐	PROPN
cana-2013	169	10	𝑻	𝑻	PROPN
cana-2013	169	11	𝑸𝟐	𝑸𝟐	VERB
cana-2013	170	1	+	+	ADP
cana-2013	170	2	∝	∝	X
cana-2013	170	3	𝑫𝟐	𝑫𝟐	NOUN
cana-2013	170	4	]	]	PUNCT
cana-2013	170	5	.	.	PUNCT
cana-2013	171	1	(	(	PUNCT
cana-2013	171	2	𝟔	𝟔	X
cana-2013	171	3	)	)	PUNCT
cana-2013	171	4	where	where	SCONJ
cana-2013	171	5	qb	qb	PROPN
cana-2013	171	6	is	be	AUX
cana-2013	171	7	the	the	DET
cana-2013	171	8	laplacian	laplacian	NOUN
cana-2013	171	9	that	that	PRON
cana-2013	171	10	only	only	ADV
cana-2013	171	11	represents	represent	VERB
cana-2013	171	12	the	the	DET
cana-2013	171	13	interlinks	interlink	NOUN
cana-2013	171	14	,	,	PUNCT
cana-2013	171	15	and	and	CCONJ
cana-2013	171	16	q1	q1	PROPN
cana-2013	171	17	=	=	SYM
cana-2013	171	18	q2	q2	PROPN
cana-2013	171	19	is	be	AUX
cana-2013	171	20	the	the	DET
cana-2013	171	21	laplacian	laplacian	ADJ
cana-2013	171	22	matrix	matrix	NOUN
cana-2013	171	23	of	of	ADP
cana-2013	171	24	a1	a1	NOUN
cana-2013	171	25	=	=	PROPN
cana-2013	171	26	a2	a2	PROPN
cana-2013	171	27	:	:	PUNCT
cana-2013	171	28	𝑸𝑩	𝑸𝑩	PROPN
cana-2013	171	29	=	=	SYM
cana-2013	171	30	𝑫−	𝑫−	PROPN
cana-2013	171	31	𝑩	𝑩	NOUN
cana-2013	171	32	=	=	PUNCT
cana-2013	171	33	[	[	PUNCT
cana-2013	171	34	𝑫𝟏	𝑫𝟏	PROPN
cana-2013	171	35	−𝑩𝟏𝟐	−𝑩𝟏𝟐	PROPN
cana-2013	171	36	−𝑩𝟏𝟐	−𝑩𝟏𝟐	PROPN
cana-2013	171	37	𝑻	𝑻	PROPN
cana-2013	171	38	𝑫𝟐	𝑫𝟐	PROPN
cana-2013	171	39	]	]	PUNCT
cana-2013	171	40	.	.	PUNCT
cana-2013	172	1	(	(	PUNCT
cana-2013	172	2	𝟕	𝟕	X
cana-2013	172	3	)	)	PUNCT
cana-2013	172	4	b.	b.	PROPN
cana-2013	172	5	fiedler	fiedler	PROPN
cana-2013	172	6	partitioning	partition	VERB
cana-2013	172	7	two	two	NUM
cana-2013	172	8	unmistakable	unmistakable	ADJ
cana-2013	172	9	designs	design	NOUN
cana-2013	172	10	of	of	ADP
cana-2013	172	11	center	center	ADJ
cana-2013	172	12	points	point	NOUN
cana-2013	172	13	{	{	PUNCT
cana-2013	172	14	r	r	NOUN
cana-2013	172	15	,	,	PUNCT
cana-2013	172	16	s	s	PART
cana-2013	172	17	}	}	PUNCT
cana-2013	172	18	,	,	PUNCT
cana-2013	172	19	where	where	SCONJ
cana-2013	172	20	r	r	NOUN
cana-2013	172	21	∪	∪	NOUN
cana-2013	172	22	s	s	NOUN
cana-2013	172	23	=	=	SYM
cana-2013	172	24	n	n	CCONJ
cana-2013	172	25	,	,	PUNCT
cana-2013	172	26	are	be	AUX
cana-2013	172	27	known	know	VERB
cana-2013	172	28	as	as	ADP
cana-2013	172	29	a	a	DET
cana-2013	172	30	graph	graph	NOUN
cana-2013	172	31	bipartition	bipartition	NOUN
cana-2013	172	32	.	.	PUNCT
cana-2013	173	1	also	also	ADV
cana-2013	173	2	,	,	PUNCT
cana-2013	173	3	we	we	PRON
cana-2013	173	4	characterize	characterize	VERB
cana-2013	173	5	the	the	DET
cana-2013	173	6	typical	typical	ADJ
cana-2013	173	7	package	package	NOUN
cana-2013	173	8	of	of	ADP
cana-2013	173	9	g	g	PROPN
cana-2013	173	10	as	as	ADP
cana-2013	173	11	the	the	DET
cana-2013	173	12	bipartition	bipartition	NOUN
cana-2013	173	13	comparing	compare	VERB
cana-2013	173	14	to	to	ADP
cana-2013	173	15	the	the	DET
cana-2013	173	16	two	two	NUM
cana-2013	173	17	unmistakable	unmistakable	ADJ
cana-2013	173	18	center	center	NOUN
cana-2013	173	19	point	point	NOUN
cana-2013	173	20	sets	set	NOUN
cana-2013	173	21	,	,	PUNCT
cana-2013	173	22	r	r	NOUN
cana-2013	173	23	=	=	SYM
cana-2013	173	24	n1	n1	PROPN
cana-2013	173	25	and	and	CCONJ
cana-2013	173	26	s	s	NOUN
cana-2013	173	27	=	=	NOUN
cana-2013	173	28	n2	n2	NOUN
cana-2013	173	29	,	,	PUNCT
cana-2013	173	30	as	as	SCONJ
cana-2013	173	31	displayed	display	VERB
cana-2013	173	32	in	in	ADP
cana-2013	173	33	fig	fig	NOUN
cana-2013	173	34	.	.	PUNCT
cana-2013	174	1	1	1	X
cana-2013	174	2	.	.	PUNCT
cana-2013	174	3	the	the	DET
cana-2013	174	4	quantity	quantity	NOUN
cana-2013	174	5	of	of	ADP
cana-2013	174	6	center	center	ADJ
cana-2013	174	7	points	point	NOUN
cana-2013	174	8	in	in	ADP
cana-2013	174	9	r	r	NOUN
cana-2013	174	10	and	and	CCONJ
cana-2013	174	11	still	still	ADV
cana-2013	174	12	up	up	ADV
cana-2013	174	13	in	in	ADP
cana-2013	174	14	the	the	DET
cana-2013	174	15	air	air	NOUN
cana-2013	174	16	by	by	ADP
cana-2013	174	17	their	their	PRON
cana-2013	174	18	separate	separate	ADJ
cana-2013	174	19	cardinality	cardinality	NOUN
cana-2013	174	20	,	,	PUNCT
cana-2013	174	21	|r|	|r|	NOUN
cana-2013	174	22	and	and	CCONJ
cana-2013	174	23	|s|	|s|	PROPN
cana-2013	174	24	.	.	PROPN
cana-2013	174	25	figure	figure	NOUN
cana-2013	174	26	1	1	NUM
cana-2013	174	27	:	:	PUNCT
cana-2013	174	28	the	the	DET
cana-2013	174	29	four	four	NUM
cana-2013	174	30	primary	primary	ADJ
cana-2013	174	31	partition	partition	NOUN
cana-2013	174	32	sets	set	NOUN
cana-2013	174	33	that	that	PRON
cana-2013	174	34	are	be	AUX
cana-2013	174	35	visible	visible	ADJ
cana-2013	174	36	are	be	AUX
cana-2013	174	37	n1	n1	PROPN
cana-2013	174	38	(	(	PUNCT
cana-2013	174	39	set	set	VERB
cana-2013	174	40	of	of	ADP
cana-2013	174	41	black	black	ADJ
cana-2013	174	42	nodes	node	NOUN
cana-2013	174	43	)	)	PUNCT
cana-2013	174	44	,	,	PUNCT
cana-2013	174	45	n2	n2	NOUN
cana-2013	174	46	(	(	PUNCT
cana-2013	174	47	set	set	NOUN
cana-2013	174	48	of	of	ADP
cana-2013	174	49	white	white	ADJ
cana-2013	174	50	nodes	node	NOUN
cana-2013	174	51	)	)	PUNCT
cana-2013	174	52	,	,	PUNCT
cana-2013	174	53	r	r	NOUN
cana-2013	174	54	(	(	PUNCT
cana-2013	174	55	set	set	NOUN
cana-2013	174	56	of	of	ADP
cana-2013	174	57	nodes	node	NOUN
cana-2013	174	58	inside	inside	ADP
cana-2013	174	59	the	the	DET
cana-2013	174	60	grey	grey	ADJ
cana-2013	174	61	rectangle	rectangle	NOUN
cana-2013	174	62	)	)	PUNCT
cana-2013	174	63	,	,	PUNCT
cana-2013	174	64	and	and	CCONJ
cana-2013	174	65	s	s	VERB
cana-2013	174	66	(	(	PUNCT
cana-2013	174	67	set	set	NOUN
cana-2013	174	68	of	of	ADP
cana-2013	174	69	nodes	node	NOUN
cana-2013	174	70	inside	inside	ADP
cana-2013	174	71	the	the	DET
cana-2013	174	72	white	white	ADJ
cana-2013	174	73	rectangle	rectangle	NOUN
cana-2013	174	74	)	)	PUNCT
cana-2013	174	75	.	.	PUNCT
cana-2013	175	1	the	the	DET
cana-2013	175	2	partition	partition	NOUN
cana-2013	175	3	sets	set	NOUN
cana-2013	175	4	and	and	CCONJ
cana-2013	175	5	the	the	DET
cana-2013	175	6	dashed	dash	VERB
cana-2013	175	7	lines	line	NOUN
cana-2013	175	8	,	,	PUNCT
cana-2013	175	9	which	which	PRON
cana-2013	175	10	serve	serve	VERB
cana-2013	175	11	as	as	ADP
cana-2013	175	12	interlinks	interlink	NOUN
cana-2013	175	13	,	,	PUNCT
cana-2013	175	14	were	be	AUX
cana-2013	175	15	selected	select	VERB
cana-2013	175	16	at	at	ADP
cana-2013	175	17	random	random	ADJ
cana-2013	175	18	for	for	ADP
cana-2013	175	19	the	the	DET
cana-2013	175	20	sake	sake	NOUN
cana-2013	175	21	of	of	ADP
cana-2013	175	22	example	example	NOUN
cana-2013	175	23	and	and	CCONJ
cana-2013	175	24	do	do	AUX
cana-2013	175	25	not	not	PART
cana-2013	175	26	correspond	correspond	VERB
cana-2013	175	27	to	to	ADP
cana-2013	175	28	the	the	DET
cana-2013	175	29	relevant	relevant	ADJ
cana-2013	175	30	fiedler	fiedler	PROPN
cana-2013	175	31	partition	partition	NOUN
cana-2013	175	32	.	.	PUNCT
cana-2013	176	1	communications	communication	NOUN
cana-2013	176	2	on	on	ADP
cana-2013	176	3	applied	apply	VERB
cana-2013	176	4	nonlinear	nonlinear	ADJ
cana-2013	176	5	analysis	analysis	NOUN
cana-2013	176	6	issn	issn	NOUN
cana-2013	176	7	:	:	PUNCT
cana-2013	176	8	1074	1074	NUM
cana-2013	176	9	-	-	PUNCT
cana-2013	176	10	133x	133x	NUM
cana-2013	176	11	vol	vol	NOUN
cana-2013	176	12	32	32	NUM
cana-2013	176	13	no	no	NOUN
cana-2013	176	14	.	.	NOUN
cana-2013	176	15	3	3	NUM
cana-2013	176	16	(	(	PUNCT
cana-2013	176	17	2025	2025	NUM
cana-2013	176	18	)	)	PUNCT
cana-2013	176	19	533	533	NUM
cana-2013	176	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	176	21	since	since	SCONJ
cana-2013	176	22	q	q	PROPN
cana-2013	176	23	is	be	AUX
cana-2013	176	24	a	a	DET
cana-2013	176	25	non	non	ADJ
cana-2013	176	26	-	-	ADJ
cana-2013	176	27	negative	negative	ADJ
cana-2013	176	28	really	really	ADV
cana-2013	176	29	symmetric	symmetric	ADJ
cana-2013	176	30	grid	grid	NOUN
cana-2013	176	31	,	,	PUNCT
cana-2013	176	32	it	it	PRON
cana-2013	176	33	has	have	VERB
cana-2013	176	34	n	n	CCONJ
cana-2013	176	35	true	true	ADJ
cana-2013	176	36	eigenvalues	eigenvalue	NOUN
cana-2013	176	37	;	;	PUNCT
cana-2013	176	38	we	we	PRON
cana-2013	176	39	are	be	AUX
cana-2013	176	40	looking	look	VERB
cana-2013	176	41	for	for	ADP
cana-2013	176	42	a	a	DET
cana-2013	176	43	nondecreasingly	nondecreasingly	ADV
cana-2013	176	44	0	0	NUM
cana-2013	176	45	=	=	SYM
cana-2013	176	46	µn	µn	PROPN
cana-2013	176	47	<	<	X
cana-2013	176	48	µn−1	µn−1	ADP
cana-2013	176	49	≤	≤	NUM
cana-2013	176	50	•	•	NUM
cana-2013	176	51	•	•	NUM
cana-2013	176	52	•	•	NOUN
cana-2013	176	53	≤	≤	NOUN
cana-2013	176	54	µ1	µ1	PROPN
cana-2013	176	55	.	.	PUNCT
cana-2013	177	1	the	the	DET
cana-2013	177	2	name	name	NOUN
cana-2013	177	3	of	of	ADP
cana-2013	177	4	the	the	DET
cana-2013	177	5	unique	unique	ADJ
cana-2013	177	6	bipartition	bipartition	NOUN
cana-2013	177	7	generated	generate	VERB
cana-2013	177	8	from	from	ADP
cana-2013	177	9	the	the	DET
cana-2013	177	10	eigenvector	eigenvector	NOUN
cana-2013	177	11	xn−1	xn−1	PROPN
cana-2013	177	12	,	,	PUNCT
cana-2013	177	13	which	which	PRON
cana-2013	177	14	is	be	AUX
cana-2013	177	15	associated	associate	VERB
cana-2013	177	16	with	with	ADP
cana-2013	177	17	the	the	DET
cana-2013	177	18	primary	primary	ADJ
cana-2013	177	19	non	non	ADJ
cana-2013	177	20	-	-	ADJ
cana-2013	177	21	zero	zero	NUM
cana-2013	177	22	eigenvalue	eigenvalue	X
cana-2013	177	23	µn−1	µn−1	PROPN
cana-2013	177	24	,	,	PUNCT
cana-2013	177	25	honours	honour	NOUN
cana-2013	177	26	fiedler	fiedler	PROPN
cana-2013	177	27	,	,	PUNCT
cana-2013	177	28	who	who	PRON
cana-2013	177	29	derived	derive	VERB
cana-2013	177	30	the	the	DET
cana-2013	177	31	majority	majority	NOUN
cana-2013	177	32	of	of	ADP
cana-2013	177	33	its	its	PRON
cana-2013	177	34	properties	property	NOUN
cana-2013	177	35	.	.	PUNCT
cana-2013	178	1	we	we	PRON
cana-2013	178	2	shall	shall	AUX
cana-2013	178	3	essentially	essentially	ADV
cana-2013	178	4	compose	compose	VERB
cana-2013	178	5	(	(	PUNCT
cana-2013	178	6	µ	µ	NOUN
cana-2013	178	7	,	,	PUNCT
cana-2013	178	8	x	x	NOUN
cana-2013	178	9	)	)	PUNCT
cana-2013	178	10	in	in	ADP
cana-2013	178	11	order	order	NOUN
cana-2013	178	12	to	to	PART
cana-2013	178	13	work	work	VERB
cana-2013	178	14	on	on	ADP
cana-2013	178	15	the	the	DET
cana-2013	178	16	documentation	documentation	NOUN
cana-2013	178	17	of	of	ADP
cana-2013	178	18	the	the	DET
cana-2013	178	19	eigenpair	eigenpair	NOUN
cana-2013	178	20	(	(	PUNCT
cana-2013	178	21	µn−1	µn−1	PROPN
cana-2013	178	22	,	,	PUNCT
cana-2013	178	23	xn−1	xn−1	PROPN
cana-2013	178	24	)	)	PUNCT
cana-2013	178	25	,	,	PUNCT
cana-2013	178	26	since	since	SCONJ
cana-2013	178	27	this	this	DET
cana-2013	178	28	paper	paper	NOUN
cana-2013	178	29	only	only	ADV
cana-2013	178	30	deals	deal	NOUN
cana-2013	178	31	with	with	ADP
cana-2013	178	32	the	the	DET
cana-2013	178	33	fiedler	fiedler	PROPN
cana-2013	178	34	eigenvector	eigenvector	PROPN
cana-2013	178	35	.	.	PUNCT
cana-2013	179	1	fiedler	fiedler	PROPN
cana-2013	179	2	parcelling	parcelling	NOUN
cana-2013	179	3	divides	divide	VERB
cana-2013	179	4	the	the	DET
cana-2013	179	5	hubs	hub	NOUN
cana-2013	179	6	of	of	ADP
cana-2013	179	7	n	n	CCONJ
cana-2013	179	8	into	into	ADP
cana-2013	179	9	two	two	NUM
cana-2013	179	10	bunches	bunche	NOUN
cana-2013	179	11	so	so	SCONJ
cana-2013	179	12	that	that	SCONJ
cana-2013	179	13	two	two	NUM
cana-2013	179	14	hubs	hub	NOUN
cana-2013	179	15	,	,	PUNCT
cana-2013	179	16	i	i	PRON
cana-2013	179	17	and	and	CCONJ
cana-2013	179	18	j	j	PROPN
cana-2013	179	19	,	,	PUNCT
cana-2013	179	20	share	share	VERB
cana-2013	179	21	a	a	DET
cana-2013	179	22	position	position	NOUN
cana-2013	179	23	with	with	ADP
cana-2013	179	24	a	a	DET
cana-2013	179	25	related	related	ADJ
cana-2013	179	26	group	group	NOUN
cana-2013	179	27	if	if	SCONJ
cana-2013	179	28	xixj>0	xixj>0	NOUN
cana-2013	179	29	.	.	PUNCT
cana-2013	180	1	for	for	ADP
cana-2013	180	2	example	example	NOUN
cana-2013	180	3	,	,	PUNCT
cana-2013	180	4	the	the	DET
cana-2013	180	5	fiedler	fiedler	PROPN
cana-2013	180	6	eigenvector	eigenvector	PROPN
cana-2013	180	7	x	x	PROPN
cana-2013	180	8	's	's	PART
cana-2013	180	9	comparing	compare	VERB
cana-2013	180	10	parts	part	NOUN
cana-2013	180	11	have	have	VERB
cana-2013	180	12	the	the	DET
cana-2013	180	13	same	same	ADJ
cana-2013	180	14	sign	sign	NOUN
cana-2013	180	15	.	.	PUNCT
cana-2013	181	1	for	for	ADP
cana-2013	181	2	instance	instance	NOUN
cana-2013	181	3	,	,	PUNCT
cana-2013	181	4	if	if	SCONJ
cana-2013	181	5	the	the	DET
cana-2013	181	6	coupling	coupling	NOUN
cana-2013	181	7	strength	strength	NOUN
cana-2013	181	8	α	α	PROPN
cana-2013	181	9	in	in	ADP
cana-2013	181	10	(	(	PUNCT
cana-2013	181	11	3	3	X
cana-2013	181	12	)	)	PUNCT
cana-2013	181	13	is	be	AUX
cana-2013	181	14	zero	zero	NUM
cana-2013	181	15	,	,	PUNCT
cana-2013	181	16	the	the	DET
cana-2013	181	17	bipartition	bipartition	NOUN
cana-2013	181	18	that	that	PRON
cana-2013	181	19	results	result	VERB
cana-2013	181	20	from	from	ADP
cana-2013	181	21	fiedler	fiedler	NOUN
cana-2013	181	22	splitting	splitting	NOUN
cana-2013	181	23	is	be	AUX
cana-2013	181	24	the	the	DET
cana-2013	181	25	same	same	ADJ
cana-2013	181	26	as	as	ADP
cana-2013	181	27	the	the	DET
cana-2013	181	28	two	two	NUM
cana-2013	181	29	regular	regular	ADJ
cana-2013	181	30	bunches	bunche	NOUN
cana-2013	181	31	,	,	PUNCT
cana-2013	181	32	r	r	NOUN
cana-2013	181	33	=	=	SYM
cana-2013	181	34	g1	g1	PROPN
cana-2013	181	35	and	and	CCONJ
cana-2013	181	36	s	s	NOUN
cana-2013	181	37	=	=	PROPN
cana-2013	181	38	g2	g2	PROPN
cana-2013	181	39	.	.	PUNCT
cana-2013	182	1	to	to	PART
cana-2013	182	2	assess	assess	VERB
cana-2013	182	3	how	how	SCONJ
cana-2013	182	4	the	the	DET
cana-2013	182	5	fiedler	fiedler	PROPN
cana-2013	182	6	parcel	parcel	PROPN
cana-2013	182	7	affects	affect	VERB
cana-2013	182	8	dependent	dependent	ADJ
cana-2013	182	9	networks	network	NOUN
cana-2013	182	10	,	,	PUNCT
cana-2013	182	11	we	we	PRON
cana-2013	182	12	will	will	AUX
cana-2013	182	13	concentrate	concentrate	VERB
cana-2013	182	14	on	on	ADP
cana-2013	182	15	the	the	DET
cana-2013	182	16	three	three	NUM
cana-2013	182	17	following	follow	VERB
cana-2013	182	18	measurements	measurement	NOUN
cana-2013	182	19	of	of	ADP
cana-2013	182	20	extraterrestrial	extraterrestrial	ADJ
cana-2013	182	21	allocation	allocation	NOUN
cana-2013	182	22	.	.	PUNCT
cana-2013	183	1	:	:	PUNCT
cana-2013	183	2	•	•	NUM
cana-2013	183	3	fiedler	fiedler	PROPN
cana-2013	183	4	cut	cut	PROPN
cana-2013	183	5	-	-	PUNCT
cana-2013	183	6	size,≝	size,≝	NOUN
cana-2013	183	7	𝒍(𝓡,𝓢	𝒍(𝓡,𝓢	NOUN
cana-2013	183	8	)	)	PUNCT
cana-2013	183	9	𝑳𝟏+𝑳𝟐	𝑳𝟏+𝑳𝟐	NOUN
cana-2013	183	10	,	,	PUNCT
cana-2013	183	11	where	where	SCONJ
cana-2013	183	12	l(r	l(r	PROPN
cana-2013	183	13	,	,	PUNCT
cana-2013	183	14	s	s	PART
cana-2013	183	15	)	)	PUNCT
cana-2013	183	16	=	=	SYM
cana-2013	184	1	l(s	l(s	PROPN
cana-2013	184	2	,	,	PUNCT
cana-2013	184	3	r	r	NOUN
cana-2013	184	4	)	)	PUNCT
cana-2013	184	5	comes	come	VERB
cana-2013	184	6	close	close	ADV
cana-2013	184	7	to	to	ADP
cana-2013	184	8	the	the	DET
cana-2013	184	9	number	number	NOUN
cana-2013	184	10	of	of	ADP
cana-2013	184	11	connections	connection	NOUN
cana-2013	184	12	with	with	ADP
cana-2013	184	13	one	one	NUM
cana-2013	184	14	end	end	NOUN
cana-2013	184	15	hub	hub	NOUN
cana-2013	184	16	in	in	ADP
cana-2013	184	17	r	r	NOUN
cana-2013	184	18	and	and	CCONJ
cana-2013	184	19	an	an	DET
cana-2013	184	20	additional	additional	ADJ
cana-2013	184	21	end	end	NOUN
cana-2013	184	22	hub	hub	NOUN
cana-2013	184	23	in	in	ADP
cana-2013	184	24	s.	s.	PROPN
cana-2013	184	25	regardless	regardless	ADV
cana-2013	184	26	of	of	ADP
cana-2013	184	27	the	the	DET
cana-2013	184	28	directionality	directionality	NOUN
cana-2013	184	29	of	of	ADP
cana-2013	184	30	the	the	DET
cana-2013	184	31	connection	connection	NOUN
cana-2013	184	32	,	,	PUNCT
cana-2013	184	33	the	the	DET
cana-2013	184	34	fiedler	fiedler	PROPN
cana-2013	184	35	cut	cut	NOUN
cana-2013	184	36	-	-	PUNCT
cana-2013	184	37	size	size	NOUN
cana-2013	184	38	takes	take	VERB
cana-2013	184	39	into	into	ADP
cana-2013	184	40	account	account	NOUN
cana-2013	184	41	the	the	DET
cana-2013	184	42	insignificant	insignificant	ADJ
cana-2013	184	43	portion	portion	NOUN
cana-2013	184	44	of	of	ADP
cana-2013	184	45	connections	connection	NOUN
cana-2013	184	46	having	have	VERB
cana-2013	184	47	one	one	NUM
cana-2013	184	48	end	end	NOUN
cana-2013	184	49	in	in	ADP
cana-2013	184	50	r	r	NOUN
cana-2013	184	51	and	and	CCONJ
cana-2013	184	52	another	another	DET
cana-2013	184	53	end	end	NOUN
cana-2013	184	54	in	in	ADP
cana-2013	184	55	s	s	PRON
cana-2013	184	56	over	over	ADP
cana-2013	184	57	the	the	DET
cana-2013	184	58	initial	initial	ADJ
cana-2013	184	59	number	number	NOUN
cana-2013	184	60	of	of	ADP
cana-2013	184	61	connections	connection	NOUN
cana-2013	184	62	.	.	PUNCT
cana-2013	185	1	•	•	NUM
cana-2013	185	2	the	the	DET
cana-2013	185	3	angle	angle	NOUN
cana-2013	185	4	between	between	ADP
cana-2013	185	5	the	the	DET
cana-2013	185	6	normalised	normalise	VERB
cana-2013	185	7	fielder	fielder	NOUN
cana-2013	185	8	vector	vector	NOUN
cana-2013	185	9	x	x	PUNCT
cana-2013	185	10	and	and	CCONJ
cana-2013	185	11	the	the	DET
cana-2013	185	12	versor	versor	NOUN
cana-2013	185	13	is	be	AUX
cana-2013	185	14	known	know	VERB
cana-2013	185	15	as	as	ADP
cana-2013	185	16	the	the	DET
cana-2013	185	17	interdependence	interdependence	NOUN
cana-2013	185	18	angle	angle	NOUN
cana-2013	185	19	.	.	PUNCT
cana-2013	186	1	𝒙(𝟎	𝒙(𝟎	NOUN
cana-2013	186	2	)	)	PUNCT
cana-2013	186	3	=	=	SYM
cana-2013	186	4	𝟏	𝟏	NUM
cana-2013	186	5	√𝑵	√𝑵	NOUN
cana-2013	186	6	(	(	PUNCT
cana-2013	186	7	𝟏	𝟏	NUM
cana-2013	186	8	,	,	PUNCT
cana-2013	186	9	.	.	PUNCT
cana-2013	186	10	.	.	PUNCT
cana-2013	186	11	.	.	PUNCT
cana-2013	187	1	,	,	PUNCT
cana-2013	187	2	𝟏	𝟏	NUM
cana-2013	187	3	,	,	PUNCT
cana-2013	187	4	−𝟏	−𝟏	NOUN
cana-2013	187	5	,	,	PUNCT
cana-2013	187	6	.	.	PUNCT
cana-2013	187	7	.	.	PUNCT
cana-2013	188	1	.	.	PUNCT
cana-2013	189	1	,	,	PUNCT
cana-2013	189	2	−𝟏	−𝟏	NOUN
cana-2013	189	3	)	)	PUNCT
cana-2013	189	4	,	,	PUNCT
cana-2013	189	5	which	which	PRON
cana-2013	189	6	we	we	PRON
cana-2013	189	7	thoroughly	thoroughly	ADV
cana-2013	189	8	explain	explain	VERB
cana-2013	189	9	in	in	ADP
cana-2013	189	10	reference	reference	NOUN
cana-2013	189	11	section	section	NOUN
cana-2013	189	12	a.	a.	NOUN
cana-2013	189	13	when	when	SCONJ
cana-2013	189	14	the	the	DET
cana-2013	189	15	fiedler	fiedler	PROPN
cana-2013	189	16	vector	vector	NOUN
cana-2013	189	17	is	be	AUX
cana-2013	189	18	aligned	align	VERB
cana-2013	189	19	with	with	ADP
cana-2013	189	20	x	x	SYM
cana-2013	189	21	(	(	PUNCT
cana-2013	189	22	0	0	NUM
cana-2013	189	23	)	)	PUNCT
cana-2013	189	24	,	,	PUNCT
cana-2013	189	25	for	for	ADP
cana-2013	189	26	instance	instance	NOUN
cana-2013	189	27	,	,	PUNCT
cana-2013	189	28	at	at	ADP
cana-2013	189	29	the	the	DET
cana-2013	189	30	point	point	NOUN
cana-2013	189	31	where	where	SCONJ
cana-2013	189	32	the	the	DET
cana-2013	189	33	fiedler	fiedler	PROPN
cana-2013	189	34	parcel	parcel	PROPN
cana-2013	189	35	fits	fit	VERB
cana-2013	189	36	the	the	DET
cana-2013	189	37	regular	regular	ADJ
cana-2013	189	38	segment	segment	NOUN
cana-2013	189	39	,	,	PUNCT
cana-2013	189	40	the	the	DET
cana-2013	189	41	dependence	dependence	NOUN
cana-2013	189	42	point	point	NOUN
cana-2013	189	43	is	be	AUX
cana-2013	189	44	limited	limited	ADJ
cana-2013	189	45	.	.	PUNCT
cana-2013	190	1	•	•	NUM
cana-2013	190	2	entropy	entropy	PROPN
cana-2013	190	3	h	h	PROPN
cana-2013	190	4	of	of	ADP
cana-2013	190	5	the	the	DET
cana-2013	190	6	squared	square	VERB
cana-2013	190	7	fiedler	fiedler	PROPN
cana-2013	190	8	vector	vector	NOUN
cana-2013	190	9	components	component	NOUN
cana-2013	190	10	𝑯	𝑯	PROPN
cana-2013	190	11	≝	≝	PROPN
cana-2013	190	12	−∑	−∑	PROPN
cana-2013	190	13	𝒙𝒊𝟐𝑵	𝒙𝒊𝟐𝑵	PROPN
cana-2013	190	14	𝒊=𝟏	𝒊=𝟏	VERB
cana-2013	190	15	𝐥𝐨𝐠𝒙𝒊	𝐥𝐨𝐠𝒙𝒊	NOUN
cana-2013	190	16	𝟐.	𝟐.	PUNCT
cana-2013	191	1	the	the	DET
cana-2013	191	2	entropy	entropy	NOUN
cana-2013	191	3	demonstrates	demonstrate	VERB
cana-2013	191	4	how	how	SCONJ
cana-2013	191	5	homogeneous	homogeneous	ADJ
cana-2013	191	6	the	the	DET
cana-2013	191	7	qualities	quality	NOUN
cana-2013	191	8	of	of	ADP
cana-2013	191	9	x	x	SYM
cana-2013	191	10	are	be	AUX
cana-2013	191	11	concerning	concern	VERB
cana-2013	191	12	the	the	DET
cana-2013	191	13	help	help	NOUN
cana-2013	191	14	extent	extent	NOUN
cana-2013	191	15	or	or	CCONJ
cana-2013	191	16	vector	vector	NOUN
cana-2013	191	17	limitation	limitation	NOUN
cana-2013	191	18	,	,	PUNCT
cana-2013	191	19	as	as	ADV
cana-2013	191	20	well	well	ADV
cana-2013	191	21	as	as	ADP
cana-2013	191	22	shannon	shannon	PROPN
cana-2013	191	23	's	's	PART
cana-2013	191	24	information	information	NOUN
cana-2013	191	25	speculation	speculation	NOUN
cana-2013	191	26	metric	metric	ADJ
cana-2013	191	27	.	.	PUNCT
cana-2013	192	1	there	there	PRON
cana-2013	192	2	is	be	VERB
cana-2013	192	3	less	less	ADJ
cana-2013	192	4	dispersal	dispersal	NOUN
cana-2013	192	5	among	among	ADP
cana-2013	192	6	the	the	DET
cana-2013	192	7	characteristics	characteristic	NOUN
cana-2013	192	8	in	in	ADP
cana-2013	192	9	x	x	PUNCT
cana-2013	192	10	the	the	PRON
cana-2013	192	11	higher	high	ADJ
cana-2013	192	12	the	the	DET
cana-2013	192	13	entropy	entropy	NOUN
cana-2013	192	14	.	.	PUNCT
cana-2013	193	1	in	in	ADP
cana-2013	193	2	the	the	DET
cana-2013	193	3	unlikely	unlikely	ADJ
cana-2013	193	4	event	event	NOUN
cana-2013	193	5	that	that	PRON
cana-2013	193	6	the	the	DET
cana-2013	193	7	laplacian	laplacian	ADJ
cana-2013	193	8	framework	framework	NOUN
cana-2013	193	9	q	q	PUNCT
cana-2013	193	10	has	have	VERB
cana-2013	193	11	flaws	flaw	NOUN
cana-2013	193	12	,	,	PUNCT
cana-2013	193	13	some	some	DET
cana-2013	193	14	parcel	parcel	NOUN
cana-2013	193	15	quality	quality	NOUN
cana-2013	193	16	assessments	assessment	NOUN
cana-2013	193	17	may	may	AUX
cana-2013	193	18	be	be	AUX
cana-2013	193	19	imprecise	imprecise	ADV
cana-2013	193	20	.	.	PUNCT
cana-2013	194	1	more	more	ADV
cana-2013	194	2	specifically	specifically	ADV
cana-2013	194	3	,	,	PUNCT
cana-2013	194	4	any	any	DET
cana-2013	194	5	direct	direct	ADJ
cana-2013	194	6	blend	blend	NOUN
cana-2013	194	7	with	with	ADP
cana-2013	194	8	the	the	DET
cana-2013	194	9	second	second	ADJ
cana-2013	194	10	and	and	CCONJ
cana-2013	194	11	third	third	ADJ
cana-2013	194	12	littlest	littlest	NOUN
cana-2013	194	13	eigenvalues	eigenvalue	NOUN
cana-2013	194	14	of	of	ADP
cana-2013	194	15	qa	qa	PROPN
cana-2013	194	16	+	+	CCONJ
cana-2013	194	17	αqb	αqb	NOUN
cana-2013	194	18	equals	equal	VERB
cana-2013	194	19	µn−1	µn−1	PROPN
cana-2013	194	20	=	=	SYM
cana-2013	194	21	µn−2	µn−2	PROPN
cana-2013	194	22	.	.	PUNCT
cana-2013	194	23	𝒙′	𝒙′	NOUN
cana-2013	195	1	=	=	PUNCT
cana-2013	195	2	𝒂𝒙𝑵−𝟏	𝒂𝒙𝑵−𝟏	PROPN
cana-2013	195	3	+	+	CCONJ
cana-2013	195	4	𝒃𝒙𝑵−𝟐	𝒃𝒙𝑵−𝟐	PROPN
cana-2013	195	5	is	be	AUX
cana-2013	195	6	besides	besides	SCONJ
cana-2013	195	7	an	an	DET
cana-2013	195	8	eigenvector	eigenvector	NOUN
cana-2013	195	9	of	of	ADP
cana-2013	195	10	q	q	NOUN
cana-2013	195	11	with	with	ADP
cana-2013	195	12	an	an	DET
cana-2013	195	13	eigenvalue	eigenvalue	NOUN
cana-2013	195	14	of	of	ADP
cana-2013	195	15	µn−1	µn−1	PROPN
cana-2013	195	16	,	,	PUNCT
cana-2013	195	17	in	in	ADP
cana-2013	195	18	this	this	DET
cana-2013	195	19	way	way	NOUN
cana-2013	195	20	the	the	DET
cana-2013	195	21	fiedler	fiedler	PROPN
cana-2013	195	22	vector	vector	NOUN
cana-2013	195	23	is	be	AUX
cana-2013	195	24	n't	not	PART
cana-2013	195	25	clear	clear	ADJ
cana-2013	195	26	cut	cut	VERB
cana-2013	195	27	.	.	PUNCT
cana-2013	196	1	nonetheless	nonetheless	ADV
cana-2013	196	2	,	,	PUNCT
cana-2013	196	3	we	we	PRON
cana-2013	196	4	will	will	AUX
cana-2013	196	5	disregard	disregard	VERB
cana-2013	196	6	these	these	DET
cana-2013	196	7	occurrences	occurrence	NOUN
cana-2013	196	8	,	,	PUNCT
cana-2013	196	9	which	which	PRON
cana-2013	196	10	every	every	PRON
cana-2013	196	11	now	now	ADV
cana-2013	196	12	and	and	CCONJ
cana-2013	196	13	again	again	ADV
cana-2013	196	14	just	just	ADV
cana-2013	196	15	emerge	emerge	VERB
cana-2013	196	16	in	in	ADP
cana-2013	196	17	graphs	graph	NOUN
cana-2013	196	18	with	with	ADP
cana-2013	196	19	deterministic	deterministic	ADJ
cana-2013	196	20	plans	plan	NOUN
cana-2013	196	21	,	,	PUNCT
cana-2013	196	22	(	(	PUNCT
cana-2013	196	23	for	for	ADP
cana-2013	196	24	example	example	NOUN
cana-2013	196	25	,	,	PUNCT
cana-2013	196	26	the	the	DET
cana-2013	196	27	cycle	cycle	NOUN
cana-2013	196	28	graph	graph	NOUN
cana-2013	196	29	)	)	PUNCT
cana-2013	196	30	.	.	PUNCT
cana-2013	197	1	vi.analytical	vi.analytical	ADJ
cana-2013	197	2	results	result	NOUN
cana-2013	197	3	this	this	DET
cana-2013	197	4	section	section	NOUN
cana-2013	197	5	introduces	introduce	VERB
cana-2013	197	6	two	two	NUM
cana-2013	197	7	open	open	ADJ
cana-2013	197	8	scientific	scientific	ADJ
cana-2013	197	9	approaches	approach	NOUN
cana-2013	197	10	to	to	PART
cana-2013	197	11	figure	figure	VERB
cana-2013	197	12	µ	µ	NOUN
cana-2013	197	13	for	for	ADP
cana-2013	197	14	the	the	DET
cana-2013	197	15	associated	associate	VERB
cana-2013	197	16	graph	graph	NOUN
cana-2013	197	17	arrangement	arrangement	NOUN
cana-2013	197	18	shown	show	VERB
cana-2013	197	19	in	in	ADP
cana-2013	197	20	the	the	DET
cana-2013	197	21	previous	previous	ADJ
cana-2013	197	22	section	section	NOUN
cana-2013	197	23	.	.	PUNCT
cana-2013	198	1	the	the	DET
cana-2013	198	2	mean	mean	ADJ
cana-2013	198	3	-	-	PUNCT
cana-2013	198	4	field	field	NOUN
cana-2013	198	5	hypothesis	hypothesis	NOUN
cana-2013	198	6	and	and	CCONJ
cana-2013	198	7	the	the	DET
cana-2013	198	8	irritation	irritation	NOUN
cana-2013	198	9	hypothesis	hypothesis	NOUN
cana-2013	198	10	,	,	PUNCT
cana-2013	198	11	which	which	PRON
cana-2013	198	12	separately	separately	ADV
cana-2013	198	13	lengthen	lengthen	VERB
cana-2013	198	14	area	area	NOUN
cana-2013	198	15	3.1	3.1	NUM
cana-2013	198	16	and	and	CCONJ
cana-2013	198	17	segment	segment	NOUN
cana-2013	198	18	3.2	3.2	NUM
cana-2013	198	19	,	,	PUNCT
cana-2013	198	20	are	be	AUX
cana-2013	198	21	the	the	DET
cana-2013	198	22	foundations	foundation	NOUN
cana-2013	198	23	of	of	ADP
cana-2013	198	24	the	the	DET
cana-2013	198	25	two	two	NUM
cana-2013	198	26	approaches	approach	NOUN
cana-2013	198	27	.	.	PUNCT
cana-2013	199	1	both	both	PRON
cana-2013	199	2	of	of	ADP
cana-2013	199	3	the	the	DET
cana-2013	199	4	hypotheses	hypothesis	NOUN
cana-2013	199	5	that	that	PRON
cana-2013	199	6	have	have	AUX
cana-2013	199	7	been	be	AUX
cana-2013	199	8	put	put	VERB
cana-2013	199	9	forth	forth	ADV
cana-2013	199	10	agree	agree	VERB
cana-2013	199	11	with	with	ADP
cana-2013	199	12	each	each	DET
cana-2013	199	13	other	other	ADJ
cana-2013	199	14	for	for	ADP
cana-2013	199	15	a	a	DET
cana-2013	199	16	small	small	ADJ
cana-2013	199	17	number	number	NOUN
cana-2013	199	18	of	of	ADP
cana-2013	199	19	additional	additional	ADJ
cana-2013	199	20	links	link	NOUN
cana-2013	199	21	,	,	PUNCT
cana-2013	199	22	which	which	PRON
cana-2013	199	23	validates	validate	VERB
cana-2013	199	24	our	our	PRON
cana-2013	199	25	research	research	NOUN
cana-2013	199	26	.	.	PUNCT
cana-2013	200	1	a.	a.	NOUN
cana-2013	200	2	exact	exact	PROPN
cana-2013	200	3	results	result	NOUN
cana-2013	200	4	for	for	ADP
cana-2013	200	5	mean	mean	ADJ
cana-2013	200	6	-	-	PUNCT
cana-2013	200	7	field	field	NOUN
cana-2013	200	8	theory	theory	NOUN
cana-2013	200	9	a	a	PRON
cana-2013	200	10	)	)	PUNCT
cana-2013	200	11	diagonal	diagonal	ADJ
cana-2013	200	12	interlinking	interlinking	NOUN
cana-2013	200	13	to	to	PART
cana-2013	200	14	begin	begin	VERB
cana-2013	200	15	,	,	PUNCT
cana-2013	200	16	we	we	PRON
cana-2013	200	17	should	should	AUX
cana-2013	200	18	consider	consider	VERB
cana-2013	200	19	the	the	DET
cana-2013	200	20	instance	instance	NOUN
cana-2013	200	21	of	of	ADP
cana-2013	200	22	two	two	NUM
cana-2013	200	23	indistinguishable	indistinguishable	ADJ
cana-2013	200	24	networks	network	NOUN
cana-2013	200	25	associated	associate	VERB
cana-2013	200	26	by	by	ADP
cana-2013	200	27	l12	l12	ADJ
cana-2013	200	28	related	relate	VERB
cana-2013	200	29	interlinks	interlink	NOUN
cana-2013	200	30	,	,	PUNCT
cana-2013	200	31	or	or	CCONJ
cana-2013	200	32	what	what	PRON
cana-2013	200	33	we	we	PRON
cana-2013	200	34	allude	allude	VERB
cana-2013	200	35	to	to	ADP
cana-2013	200	36	as	as	ADP
cana-2013	200	37	"	"	PUNCT
cana-2013	200	38	slanting	slant	VERB
cana-2013	200	39	interlinking	interlink	VERB
cana-2013	200	40	"	"	PUNCT
cana-2013	200	41	.	.	PUNCT
cana-2013	201	1	one	one	NUM
cana-2013	201	2	association	association	NOUN
cana-2013	201	3	can	can	AUX
cana-2013	201	4	be	be	AUX
cana-2013	201	5	added	add	VERB
cana-2013	201	6	,	,	PUNCT
cana-2013	201	7	and	and	CCONJ
cana-2013	201	8	there	there	PRON
cana-2013	201	9	can	can	AUX
cana-2013	201	10	be	be	AUX
cana-2013	201	11	however	however	ADV
cana-2013	201	12	many	many	ADJ
cana-2013	201	13	joins	join	NOUN
cana-2013	201	14	as	as	ADP
cana-2013	201	15	n.	n.	NOUN
cana-2013	201	16	it	it	PRON
cana-2013	201	17	was	be	AUX
cana-2013	201	18	concluded	conclude	VERB
cana-2013	201	19	that	that	SCONJ
cana-2013	201	20	via	via	ADP
cana-2013	201	21	cautiously	cautiously	ADV
cana-2013	201	22	adding	add	VERB
cana-2013	201	23	few	few	ADJ
cana-2013	201	24	interlinks	interlink	NOUN
cana-2013	201	25	,	,	PUNCT
cana-2013	201	26	this	this	DET
cana-2013	201	27	system	system	NOUN
cana-2013	201	28	would	would	AUX
cana-2013	201	29	have	have	VERB
cana-2013	201	30	the	the	DET
cana-2013	201	31	best	well	ADV
cana-2013	201	32	conceivable	conceivable	ADJ
cana-2013	201	33	effect	effect	NOUN
cana-2013	201	34	.	.	PUNCT
cana-2013	202	1	moving	move	VERB
cana-2013	202	2	toward	toward	ADP
cana-2013	202	3	such	such	DET
cana-2013	202	4	a	a	DET
cana-2013	202	5	system	system	NOUN
cana-2013	202	6	mean	mean	NOUN
cana-2013	202	7	-	-	PUNCT
cana-2013	202	8	field	field	NOUN
cana-2013	202	9	involves	involve	VERB
cana-2013	202	10	zeroing	zero	VERB
cana-2013	202	11	in	in	ADP
cana-2013	202	12	on	on	ADP
cana-2013	202	13	a	a	DET
cana-2013	202	14	graph	graph	NOUN
cana-2013	202	15	of	of	ADP
cana-2013	202	16	two	two	NUM
cana-2013	202	17	indistinguishable	indistinguishable	ADJ
cana-2013	202	18	networks	network	NOUN
cana-2013	202	19	collaborating	collaborate	VERB
cana-2013	202	20	through	through	ADP
cana-2013	202	21	n1	n1	PROPN
cana-2013	202	22	weighted	weight	VERB
cana-2013	202	23	relationship	relationship	NOUN
cana-2013	202	24	between	between	ADP
cana-2013	202	25	communications	communication	NOUN
cana-2013	202	26	on	on	ADP
cana-2013	202	27	applied	apply	VERB
cana-2013	202	28	nonlinear	nonlinear	ADJ
cana-2013	202	29	analysis	analysis	NOUN
cana-2013	202	30	issn	issn	NOUN
cana-2013	202	31	:	:	PUNCT
cana-2013	202	32	1074	1074	NUM
cana-2013	202	33	-	-	PUNCT
cana-2013	202	34	133x	133x	NUM
cana-2013	202	35	vol	vol	NOUN
cana-2013	202	36	32	32	NUM
cana-2013	202	37	no	no	NOUN
cana-2013	202	38	.	.	NOUN
cana-2013	202	39	3	3	NUM
cana-2013	202	40	(	(	PUNCT
cana-2013	202	41	2025	2025	NUM
cana-2013	202	42	)	)	PUNCT
cana-2013	202	43	534	534	NUM
cana-2013	202	44	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	202	45	each	each	DET
cana-2013	202	46	associating	associate	VERB
cana-2013	202	47	center	center	NOUN
cana-2013	202	48	.	.	PUNCT
cana-2013	203	1	the	the	DET
cana-2013	203	2	weight	weight	NOUN
cana-2013	203	3	of	of	ADP
cana-2013	203	4	every	every	DET
cana-2013	203	5	link	link	NOUN
cana-2013	203	6	,	,	PUNCT
cana-2013	203	7	denoted	denote	VERB
cana-2013	203	8	by	by	ADP
cana-2013	203	9	α	α	NOUN
cana-2013	203	10	=	=	SYM
cana-2013	203	11	l12	l12	NOUN
cana-2013	203	12	n1	n1	NOUN
cana-2013	203	13	,	,	PUNCT
cana-2013	203	14	increases	increase	VERB
cana-2013	203	15	with	with	ADP
cana-2013	203	16	the	the	DET
cana-2013	203	17	number	number	NOUN
cana-2013	203	18	of	of	ADP
cana-2013	203	19	hubs	hub	NOUN
cana-2013	203	20	linked	link	VERB
cana-2013	203	21	to	to	ADP
cana-2013	203	22	their	their	PRON
cana-2013	203	23	neighbour	neighbour	NOUN
cana-2013	203	24	for	for	ADP
cana-2013	203	25	comparison	comparison	NOUN
cana-2013	203	26	inside	inside	ADP
cana-2013	203	27	that	that	DET
cana-2013	203	28	particular	particular	ADJ
cana-2013	203	29	network	network	NOUN
cana-2013	203	30	.	.	PUNCT
cana-2013	204	1	ultimately	ultimately	ADV
cana-2013	204	2	,	,	PUNCT
cana-2013	204	3	b12	b12	NOUN
cana-2013	204	4	=	=	SYM
cana-2013	204	5	i	i	PROPN
cana-2013	204	6	,	,	PUNCT
cana-2013	204	7	to	to	ADP
cana-2013	204	8	the	the	DET
cana-2013	204	9	degree	degree	NOUN
cana-2013	204	10	that	that	SCONJ
cana-2013	204	11	the	the	DET
cana-2013	204	12	border	border	NOUN
cana-2013	204	13	α	α	PROPN
cana-2013	204	14	modifies	modify	VERB
cana-2013	204	15	the	the	DET
cana-2013	204	16	synchronisation	synchronisation	NOUN
cana-2013	204	17	dependency	dependency	NOUN
cana-2013	204	18	:	:	PUNCT
cana-2013	204	19	𝑸𝑨	𝑸𝑨	PROPN
cana-2013	204	20	+	+	PROPN
cana-2013	204	21	∝	∝	NOUN
cana-2013	204	22	𝑸𝑩	𝑸𝑩	NOUN
cana-2013	204	23	=	=	PUNCT
cana-2013	205	1	[	[	PUNCT
cana-2013	205	2	𝑸𝟏+∝	𝑸𝟏+∝	NUM
cana-2013	205	3	𝑰	𝑰	PROPN
cana-2013	205	4	−∝	−∝	PROPN
cana-2013	205	5	𝑰	𝑰	PROPN
cana-2013	205	6	−∝	−∝	PROPN
cana-2013	205	7	𝑰	𝑰	PROPN
cana-2013	205	8	𝑸𝟏+∝	𝑸𝟏+∝	NUM
cana-2013	205	9	𝑰	𝑰	PROPN
cana-2013	205	10	]	]	PUNCT
cana-2013	205	11	.	.	PUNCT
cana-2013	206	1	(	(	PUNCT
cana-2013	206	2	𝟖	𝟖	X
cana-2013	206	3	)	)	PUNCT
cana-2013	206	4	in	in	ADP
cana-2013	206	5	terms	term	NOUN
cana-2013	206	6	of	of	ADP
cana-2013	206	7	physical	physical	ADJ
cana-2013	206	8	science	science	NOUN
cana-2013	206	9	,	,	PUNCT
cana-2013	206	10	α	α	PROPN
cana-2013	206	11	refers	refer	VERB
cana-2013	206	12	to	to	ADP
cana-2013	206	13	the	the	DET
cana-2013	206	14	coupling	coupling	NOUN
cana-2013	206	15	constant	constant	ADJ
cana-2013	206	16	of	of	ADP
cana-2013	206	17	the	the	DET
cana-2013	206	18	network	network	NOUN
cana-2013	206	19	's	's	PART
cana-2013	206	20	cooperation	cooperation	NOUN
cana-2013	206	21	.	.	PUNCT
cana-2013	207	1	this	this	DET
cana-2013	207	2	system	system	NOUN
cana-2013	207	3	will	will	AUX
cana-2013	207	4	also	also	ADV
cana-2013	207	5	be	be	AUX
cana-2013	207	6	referred	refer	VERB
cana-2013	207	7	to	to	ADP
cana-2013	207	8	as	as	ADP
cana-2013	207	9	the	the	DET
cana-2013	207	10	mean	mean	ADJ
cana-2013	207	11	-	-	PUNCT
cana-2013	207	12	field	field	NOUN
cana-2013	207	13	model	model	NOUN
cana-2013	207	14	of	of	ADP
cana-2013	207	15	the	the	DET
cana-2013	207	16	corner	corner	NOUN
cana-2013	207	17	-	-	PUNCT
cana-2013	207	18	to	to	ADP
cana-2013	207	19	-	-	PUNCT
cana-2013	207	20	corner	corner	NOUN
cana-2013	207	21	interlinking	interlinking	NOUN
cana-2013	207	22	approach	approach	NOUN
cana-2013	207	23	,	,	PUNCT
cana-2013	207	24	in	in	ADP
cana-2013	207	25	keeping	keep	VERB
cana-2013	207	26	with	with	ADP
cana-2013	207	27	the	the	DET
cana-2013	207	28	rest	rest	NOUN
cana-2013	207	29	of	of	ADP
cana-2013	207	30	the	the	DET
cana-2013	207	31	work	work	NOUN
cana-2013	207	32	.	.	PUNCT
cana-2013	208	1	whatever	whatever	PRON
cana-2013	208	2	its	its	PRON
cana-2013	208	3	origin	origin	NOUN
cana-2013	208	4	,	,	PUNCT
cana-2013	208	5	this	this	DET
cana-2013	208	6	system	system	NOUN
cana-2013	208	7	has	have	VERB
cana-2013	208	8	some	some	DET
cana-2013	208	9	intriguing	intriguing	ADJ
cana-2013	208	10	characteristics	characteristic	NOUN
cana-2013	208	11	that	that	PRON
cana-2013	208	12	are	be	AUX
cana-2013	208	13	worthwhile	worthwhile	ADJ
cana-2013	208	14	investigating	investigate	VERB
cana-2013	208	15	.	.	PUNCT
cana-2013	209	1	let	let	VERB
cana-2013	209	2	ξn1	ξn1	NOUN
cana-2013	209	3	,	,	PUNCT
cana-2013	209	4	ξn1−1	ξn1−1	VERB
cana-2013	209	5	,	,	PUNCT
cana-2013	209	6	...	...	PUNCT
cana-2013	209	7	,	,	PUNCT
cana-2013	209	8	ξ1	ξ1	NOUN
cana-2013	209	9	is	be	AUX
cana-2013	209	10	the	the	DET
cana-2013	209	11	configuration	configuration	NOUN
cana-2013	209	12	of	of	ADP
cana-2013	209	13	eigenvectors	eigenvector	NOUN
cana-2013	209	14	for	for	ADP
cana-2013	209	15	the	the	DET
cana-2013	209	16	laplacian	laplacian	NOUN
cana-2013	209	17	of	of	ADP
cana-2013	209	18	the	the	DET
cana-2013	209	19	single	single	ADJ
cana-2013	209	20	network	network	NOUN
cana-2013	209	21	a1	a1	NOUN
cana-2013	209	22	,	,	PUNCT
cana-2013	209	23	and	and	CCONJ
cana-2013	209	24	their	their	PRON
cana-2013	209	25	corresponding	corresponding	ADJ
cana-2013	209	26	eigenvalues	eigenvalue	NOUN
cana-2013	209	27	are	be	AUX
cana-2013	209	28	ωn1	ωn1	NUM
cana-2013	209	29	,	,	PUNCT
cana-2013	209	30	ωn1−1	ωn1−1	ADJ
cana-2013	209	31	,	,	PUNCT
cana-2013	209	32	...	...	PUNCT
cana-2013	209	33	,	,	PUNCT
cana-2013	209	34	ω1	ω1	PROPN
cana-2013	209	35	.	.	PROPN
cana-2013	210	1	since	since	SCONJ
cana-2013	210	2	the	the	DET
cana-2013	210	3	bother	bother	NOUN
cana-2013	210	4	qb	qb	PROPN
cana-2013	210	5	drives	drive	NOUN
cana-2013	210	6	with	with	ADP
cana-2013	210	7	qa	qa	PROPN
cana-2013	210	8	,	,	PUNCT
cana-2013	210	9	the	the	DET
cana-2013	210	10	corresponding	correspond	VERB
cana-2013	210	11	graph	graph	NOUN
cana-2013	210	12	's	's	PART
cana-2013	210	13	eigenvectors	eigenvector	NOUN
cana-2013	210	14	remain	remain	VERB
cana-2013	210	15	unchanged	unchanged	ADJ
cana-2013	210	16	.	.	PUNCT
cana-2013	211	1	since	since	SCONJ
cana-2013	211	2	all	all	PRON
cana-2013	211	3	of	of	ADP
cana-2013	211	4	the	the	DET
cana-2013	211	5	(	(	PUNCT
cana-2013	211	6	unperturbed	unperturbed	ADJ
cana-2013	211	7	)	)	PUNCT
cana-2013	211	8	eigenvalues	eigenvalue	NOUN
cana-2013	211	9	are	be	AUX
cana-2013	211	10	degenerate	degenerate	ADJ
cana-2013	211	11	two	two	NUM
cana-2013	211	12	by	by	ADP
cana-2013	211	13	two	two	NUM
cana-2013	211	14	,	,	PUNCT
cana-2013	211	15	a	a	DET
cana-2013	211	16	group	group	NOUN
cana-2013	211	17	of	of	ADP
cana-2013	211	18	eigenvectors	eigenvector	NOUN
cana-2013	211	19	can	can	AUX
cana-2013	211	20	be	be	AUX
cana-2013	211	21	characterised	characterise	VERB
cana-2013	211	22	using	use	VERB
cana-2013	211	23	the	the	DET
cana-2013	211	24	single	single	ADJ
cana-2013	211	25	network	network	NOUN
cana-2013	211	26	's	's	PART
cana-2013	211	27	eigenvalues	eigenvalue	NOUN
cana-2013	211	28	as	as	ADP
cana-2013	211	29	a	a	DET
cana-2013	211	30	guide	guide	NOUN
cana-2013	211	31	:	:	PUNCT
cana-2013	211	32	{	{	PUNCT
cana-2013	211	33	𝒙𝟐𝒊	𝒙𝟐𝒊	NOUN
cana-2013	211	34	=	=	SYM
cana-2013	211	35	[	[	PUNCT
cana-2013	211	36	𝝃𝒊	𝝃𝒊	X
cana-2013	211	37	𝝃𝒊	𝝃𝒊	VERB
cana-2013	211	38	]	]	PUNCT
cana-2013	211	39	.	.	PUNCT
cana-2013	212	1	𝒙𝟐𝒊+𝟏	𝒙𝟐𝒊+𝟏	NOUN
cana-2013	212	2	=	=	PUNCT
cana-2013	212	3	[	[	PUNCT
cana-2013	212	4	𝝃𝒊	𝝃𝒊	VERB
cana-2013	212	5	−𝝃𝒊	−𝝃𝒊	PROPN
cana-2013	212	6	]	]	PUNCT
cana-2013	212	7	.	.	PUNCT
cana-2013	213	1	(	(	PUNCT
cana-2013	213	2	𝟗	𝟗	X
cana-2013	213	3	)	)	PUNCT
cana-2013	213	4	the	the	DET
cana-2013	213	5	eigenvalues	eigenvalue	NOUN
cana-2013	213	6	of	of	ADP
cana-2013	213	7	the	the	DET
cana-2013	213	8	unperturbed	unperturbed	ADJ
cana-2013	213	9	system	system	NOUN
cana-2013	213	10	,	,	PUNCT
cana-2013	213	11	µ2i	µ2i	PROPN
cana-2013	213	12	=	=	PUNCT
cana-2013	213	13	µ2i+1	µ2i+1	PUNCT
cana-2013	213	14	=	=	SYM
cana-2013	213	15	ωi	ωi	NOUN
cana-2013	213	16	,	,	PUNCT
cana-2013	213	17	are	be	AUX
cana-2013	213	18	equivalent	equivalent	ADJ
cana-2013	213	19	to	to	ADP
cana-2013	213	20	those	those	PRON
cana-2013	213	21	of	of	ADP
cana-2013	213	22	the	the	DET
cana-2013	213	23	outright	outright	ADJ
cana-2013	213	24	non	non	ADJ
cana-2013	213	25	-	-	ADJ
cana-2013	213	26	coordinating	coordinating	ADJ
cana-2013	213	27	system	system	NOUN
cana-2013	213	28	(	(	PUNCT
cana-2013	213	29	e.g.	e.g.	ADV
cana-2013	213	30	,	,	PUNCT
cana-2013	213	31	α	α	NOUN
cana-2013	213	32	=	=	NOUN
cana-2013	213	33	0	0	NUM
cana-2013	213	34	)	)	PUNCT
cana-2013	213	35	.	.	PUNCT
cana-2013	214	1	thusly	thusly	ADV
cana-2013	214	2	,	,	PUNCT
cana-2013	214	3	the	the	DET
cana-2013	214	4	rising	rise	VERB
cana-2013	214	5	succession	succession	NOUN
cana-2013	214	6	of	of	ADP
cana-2013	214	7	eigenvalues	eigenvalue	NOUN
cana-2013	214	8	for	for	ADP
cana-2013	214	9	the	the	DET
cana-2013	214	10	non	non	ADJ
cana-2013	214	11	-	-	ADJ
cana-2013	214	12	natural	natural	ADJ
cana-2013	214	13	system	system	NOUN
cana-2013	214	14	is	be	AUX
cana-2013	214	15	ωn1	ωn1	ADJ
cana-2013	214	16	=	=	SYM
cana-2013	214	17	0	0	NUM
cana-2013	214	18	,	,	PUNCT
cana-2013	214	19	0	0	NUM
cana-2013	214	20	,	,	PUNCT
cana-2013	214	21	ωn1−1	ωn1−1	ADJ
cana-2013	214	22	,	,	PUNCT
cana-2013	214	23	ωn1−1	ωn1−1	ADJ
cana-2013	214	24	...	...	PUNCT
cana-2013	214	25	,	,	PUNCT
cana-2013	214	26	ω1	ω1	PROPN
cana-2013	214	27	,	,	PUNCT
cana-2013	214	28	ω1	ω1	PROPN
cana-2013	214	29	.	.	PUNCT
cana-2013	215	1	a	a	DET
cana-2013	215	2	trivial	trivial	ADJ
cana-2013	215	3	demonstration	demonstration	NOUN
cana-2013	215	4	demonstrates	demonstrate	VERB
cana-2013	215	5	that	that	SCONJ
cana-2013	215	6	the	the	DET
cana-2013	215	7	odd	odd	ADJ
cana-2013	215	8	eigenvalues	eigenvalue	NOUN
cana-2013	215	9	increase	increase	VERB
cana-2013	215	10	directly	directly	ADV
cana-2013	215	11	by	by	ADP
cana-2013	215	12	a	a	DET
cana-2013	215	13	comparable	comparable	ADJ
cana-2013	215	14	total	total	NOUN
cana-2013	215	15	,	,	PUNCT
cana-2013	215	16	whereas	whereas	SCONJ
cana-2013	215	17	the	the	DET
cana-2013	215	18	even	even	ADV
cana-2013	215	19	eigenvalues	eigenvalue	NOUN
cana-2013	215	20	remain	remain	VERB
cana-2013	215	21	unchanged	unchanged	ADJ
cana-2013	215	22	at	at	ADP
cana-2013	215	23	the	the	DET
cana-2013	215	24	moment	moment	NOUN
cana-2013	215	25	where	where	SCONJ
cana-2013	215	26	cooperation	cooperation	NOUN
cana-2013	215	27	is	be	AUX
cana-2013	215	28	activated	activate	VERB
cana-2013	215	29	(	(	PUNCT
cana-2013	215	30	e.g.	e.g.	ADV
cana-2013	215	31	,	,	PUNCT
cana-2013	215	32	α	α	PROPN
cana-2013	215	33	6=	6=	NOUN
cana-2013	215	34	0	0	NUM
cana-2013	215	35	)	)	PUNCT
cana-2013	215	36	,	,	PUNCT
cana-2013	215	37	anticipating	anticipate	VERB
cana-2013	215	38	that	that	DET
cana-2013	215	39	a1	a1	NOUN
cana-2013	215	40	=	=	PROPN
cana-2013	215	41	a2	a2	PROPN
cana-2013	215	42	.	.	PUNCT
cana-2013	216	1	2α	2α	NOUN
cana-2013	216	2	,	,	PUNCT
cana-2013	216	3	{	{	PUNCT
cana-2013	216	4	𝝁𝟐𝒊	𝝁𝟐𝒊	PROPN
cana-2013	216	5	=	=	SYM
cana-2013	216	6	𝝎𝒊	𝝎𝒊	PROPN
cana-2013	216	7	,	,	PUNCT
cana-2013	216	8	𝝁𝟐𝒊	𝝁𝟐𝒊	PROPN
cana-2013	217	1	+	+	CCONJ
cana-2013	217	2	𝟏	𝟏	X
cana-2013	217	3	=	=	SYM
cana-2013	217	4	𝝎𝒊	𝝎𝒊	NOUN
cana-2013	217	5	+	+	X
cana-2013	217	6	𝟐	𝟐	NUM
cana-2013	217	7	∝.	∝.	VERB
cana-2013	217	8	(	(	PUNCT
cana-2013	217	9	𝟏𝟎	𝟏𝟎	NUM
cana-2013	217	10	)	)	PUNCT
cana-2013	217	11	the	the	DET
cana-2013	217	12	eigenvector	eigenvector	NOUN
cana-2013	217	13	placement	placement	NOUN
cana-2013	217	14	is	be	AUX
cana-2013	217	15	unchanged	unchanged	ADJ
cana-2013	217	16	for	for	ADP
cana-2013	217	17	α	α	NOUN
cana-2013	217	18	close	close	ADJ
cana-2013	217	19	to	to	ADP
cana-2013	217	20	zero	zero	NUM
cana-2013	217	21	:	:	PUNCT
cana-2013	217	22	µn	µn	PROPN
cana-2013	217	23	=	=	PUNCT
cana-2013	217	24	ωn1	ωn1	X
cana-2013	217	25	=	=	SYM
cana-2013	217	26	0	0	NUM
cana-2013	217	27	,	,	PUNCT
cana-2013	217	28	µn−1	µn−1	ADP
cana-2013	217	29	=	=	SYM
cana-2013	217	30	2α	2α	NOUN
cana-2013	217	31	,	,	PUNCT
cana-2013	217	32	µn−2	µn−2	NOUN
cana-2013	217	33	=	=	SYM
cana-2013	217	34	ωn1−1	ωn1−1	ADJ
cana-2013	217	35	,	,	PUNCT
cana-2013	217	36	µn−3	µn−3	PROPN
cana-2013	217	37	=	=	PUNCT
cana-2013	217	38	ωn1−1	ωn1−1	NOUN
cana-2013	217	39	+	+	CCONJ
cana-2013	217	40	2α	2α	NOUN
cana-2013	217	41	,	,	PUNCT
cana-2013	217	42	...	...	PUNCT
cana-2013	217	43	,	,	PUNCT
cana-2013	217	44	ω1	ω1	PROPN
cana-2013	217	45	,	,	PUNCT
cana-2013	217	46	ω1	ω1	PROPN
cana-2013	217	47	+	+	CCONJ
cana-2013	217	48	2α	2α	NOUN
cana-2013	217	49	.	.	PUNCT
cana-2013	218	1	regardless	regardless	ADV
cana-2013	218	2	,	,	PUNCT
cana-2013	218	3	the	the	DET
cana-2013	218	4	second	second	ADJ
cana-2013	218	5	and	and	CCONJ
cana-2013	218	6	third	third	ADV
cana-2013	218	7	least	least	ADJ
cana-2013	218	8	significant	significant	ADJ
cana-2013	218	9	eigenvalues	eigenvalue	NOUN
cana-2013	218	10	of	of	ADP
cana-2013	218	11	the	the	DET
cana-2013	218	12	dependent	dependent	ADJ
cana-2013	218	13	network	network	NOUN
cana-2013	218	14	(	(	PUNCT
cana-2013	218	15	µn−1	µn−1	PROPN
cana-2013	218	16	and	and	CCONJ
cana-2013	218	17	µn−2	µn−2	PROPN
cana-2013	218	18	)	)	PUNCT
cana-2013	218	19	trade	trade	NOUN
cana-2013	218	20	when	when	SCONJ
cana-2013	218	21	α	α	PROPN
cana-2013	218	22	>	>	X
cana-2013	218	23	ωn1−1	ωn1−1	PROPN
cana-2013	218	24	2	2	NUM
cana-2013	218	25	.	.	PUNCT
cana-2013	218	26	as	as	ADP
cana-2013	218	27	a	a	DET
cana-2013	218	28	result	result	NOUN
cana-2013	218	29	,	,	PUNCT
cana-2013	218	30	the	the	DET
cana-2013	218	31	leading	lead	VERB
cana-2013	218	32	non	non	ADJ
cana-2013	218	33	-	-	ADJ
cana-2013	218	34	zero	zero	NUM
cana-2013	218	35	eigenvalue	eigenvalue	NOUN
cana-2013	218	36	increases	increase	NOUN
cana-2013	218	37	directly	directly	ADV
cana-2013	218	38	with	with	ADP
cana-2013	218	39	2α	2α	NOUN
cana-2013	218	40	until	until	SCONJ
cana-2013	218	41	it	it	PRON
cana-2013	218	42	reaches	reach	VERB
cana-2013	218	43	a	a	DET
cana-2013	218	44	level	level	NOUN
cana-2013	218	45	equal	equal	ADJ
cana-2013	218	46	to	to	ADP
cana-2013	218	47	the	the	DET
cana-2013	218	48	value	value	NOUN
cana-2013	218	49	of	of	ADP
cana-2013	218	50	the	the	DET
cana-2013	218	51	disconnected	disconnected	ADJ
cana-2013	218	52	networks	network	NOUN
cana-2013	218	53	ωn1−1	ωn1−1	VERB
cana-2013	218	54	.	.	PUNCT
cana-2013	219	1	concerning	concern	VERB
cana-2013	219	2	condition	condition	NOUN
cana-2013	219	3	(	(	PUNCT
cana-2013	219	4	1	1	NUM
cana-2013	219	5	)	)	PUNCT
cana-2013	219	6	,	,	PUNCT
cana-2013	219	7	the	the	DET
cana-2013	219	8	natural	natural	ADJ
cana-2013	219	9	system	system	NOUN
cana-2013	219	10	can	can	AUX
cana-2013	219	11	synchronize	synchronize	VERB
cana-2013	219	12	with	with	ADP
cana-2013	219	13	a	a	DET
cana-2013	219	14	practically	practically	ADV
cana-2013	219	15	identical	identical	ADJ
cana-2013	219	16	immediacy	immediacy	NOUN
cana-2013	219	17	to	to	ADP
cana-2013	219	18	the	the	DET
cana-2013	219	19	single	single	ADJ
cana-2013	219	20	restricted	restricted	ADJ
cana-2013	219	21	network	network	NOUN
cana-2013	219	22	when	when	SCONJ
cana-2013	219	23	α	α	NOUN
cana-2013	219	24	is	be	AUX
cana-2013	219	25	more	more	ADV
cana-2013	219	26	eminent	eminent	ADJ
cana-2013	219	27	than	than	SCONJ
cana-2013	219	28	the	the	DET
cana-2013	219	29	breaking	breaking	NOUN
cana-2013	219	30	point	point	NOUN
cana-2013	219	31	αi	αi	VERB
cana-2013	219	32	=	=	PUNCT
cana-2013	219	33	ωn1−1	ωn1−1	ADJ
cana-2013	219	34	2	2	NUM
cana-2013	219	35	.	.	PUNCT
cana-2013	219	36	thusly	thusly	ADV
cana-2013	219	37	,	,	PUNCT
cana-2013	219	38	the	the	DET
cana-2013	219	39	canny	canny	ADJ
cana-2013	219	40	system	system	NOUN
cana-2013	219	41	takes	take	VERB
cana-2013	219	42	more	more	ADJ
cana-2013	219	43	time	time	NOUN
cana-2013	219	44	to	to	PART
cana-2013	219	45	arrive	arrive	VERB
cana-2013	219	46	at	at	ADP
cana-2013	219	47	balance	balance	NOUN
cana-2013	219	48	than	than	ADP
cana-2013	219	49	a	a	DET
cana-2013	219	50	solitary	solitary	ADJ
cana-2013	219	51	network	network	NOUN
cana-2013	219	52	when	when	SCONJ
cana-2013	219	53	the	the	DET
cana-2013	219	54	system	system	NOUN
cana-2013	219	55	coupling	couple	VERB
cana-2013	219	56	channel	channel	NOUN
cana-2013	219	57	is	be	AUX
cana-2013	219	58	quicker	quick	ADJ
cana-2013	219	59	than	than	ADP
cana-2013	219	60	the	the	DET
cana-2013	219	61	legitimate	legitimate	ADJ
cana-2013	219	62	time	time	NOUN
cana-2013	219	63	.	.	PUNCT
cana-2013	220	1	the	the	DET
cana-2013	220	2	crucial	crucial	ADJ
cana-2013	220	3	worth	worth	NOUN
cana-2013	220	4	αi	αi	PRON
cana-2013	220	5	for	for	ADP
cana-2013	220	6	the	the	DET
cana-2013	220	7	specific	specific	ADJ
cana-2013	220	8	model	model	NOUN
cana-2013	220	9	relates	relate	VERB
cana-2013	220	10	to	to	ADP
cana-2013	220	11	a	a	DET
cana-2013	220	12	basic	basic	ADJ
cana-2013	220	13	worth	worth	NOUN
cana-2013	220	14	of	of	ADP
cana-2013	220	15	associations	association	NOUN
cana-2013	220	16	li	li	PROPN
cana-2013	220	17	that	that	PRON
cana-2013	220	18	should	should	AUX
cana-2013	220	19	be	be	AUX
cana-2013	220	20	remembered	remember	VERB
cana-2013	220	21	for	for	ADP
cana-2013	220	22	request	request	NOUN
cana-2013	220	23	to	to	PART
cana-2013	220	24	accomplish	accomplish	VERB
cana-2013	220	25	the	the	DET
cana-2013	220	26	single	single	ADJ
cana-2013	220	27	network	network	NOUN
cana-2013	220	28	's	's	PART
cana-2013	220	29	speed	speed	NOUN
cana-2013	220	30	:	:	PUNCT
cana-2013	220	31	𝒍𝑰	𝒍𝑰	NOUN
cana-2013	220	32	=	=	NOUN
cana-2013	220	33	∝𝑰	∝𝑰	NOUN
cana-2013	220	34	𝑵𝟏	𝑵𝟏	NOUN
cana-2013	220	35	=	=	PUNCT
cana-2013	221	1	𝝎𝑵−𝟏.	𝝎𝑵−𝟏.	NUM
cana-2013	221	2	𝑵𝟏	𝑵𝟏	PROPN
cana-2013	221	3	𝟐	𝟐	NUM
cana-2013	221	4	.	.	PUNCT
cana-2013	222	1	(	(	PUNCT
cana-2013	222	2	𝟏𝟏	𝟏𝟏	NUM
cana-2013	222	3	)	)	PUNCT
cana-2013	222	4	b	b	NOUN
cana-2013	222	5	)	)	PUNCT
cana-2013	222	6	random	random	ADJ
cana-2013	222	7	interlinking	interlinking	NOUN
cana-2013	222	8	we	we	PRON
cana-2013	222	9	have	have	AUX
cana-2013	222	10	introduced	introduce	VERB
cana-2013	222	11	a	a	DET
cana-2013	222	12	second	second	ADJ
cana-2013	222	13	method	method	NOUN
cana-2013	222	14	,	,	PUNCT
cana-2013	222	15	which	which	PRON
cana-2013	222	16	we	we	PRON
cana-2013	222	17	have	have	AUX
cana-2013	222	18	dubbed	dub	VERB
cana-2013	222	19	the	the	DET
cana-2013	222	20	random	random	ADJ
cana-2013	222	21	interlinking	interlinking	NOUN
cana-2013	222	22	system	system	NOUN
cana-2013	222	23	,	,	PUNCT
cana-2013	222	24	as	as	ADP
cana-2013	222	25	an	an	DET
cana-2013	222	26	algebraically	algebraically	ADV
cana-2013	222	27	solvable	solvable	ADJ
cana-2013	222	28	variant	variant	NOUN
cana-2013	222	29	of	of	ADP
cana-2013	222	30	the	the	DET
cana-2013	222	31	constrained	constrained	ADJ
cana-2013	222	32	inclining	incline	VERB
cana-2013	222	33	interlinking	interlinking	NOUN
cana-2013	222	34	.	.	PUNCT
cana-2013	223	1	it	it	PRON
cana-2013	223	2	is	be	AUX
cana-2013	223	3	related	relate	VERB
cana-2013	223	4	to	to	ADP
cana-2013	223	5	the	the	DET
cana-2013	223	6	mean	mean	ADJ
cana-2013	223	7	field	field	NOUN
cana-2013	223	8	guess	guess	NOUN
cana-2013	223	9	of	of	ADP
cana-2013	223	10	two	two	NUM
cana-2013	223	11	indistinguishable	indistinguishable	ADJ
cana-2013	223	12	networks	network	NOUN
cana-2013	223	13	cooperating	cooperate	VERB
cana-2013	223	14	through	through	ADP
cana-2013	223	15	l12	l12	ADJ
cana-2013	223	16	irregular	irregular	ADJ
cana-2013	223	17	linkages	linkage	NOUN
cana-2013	223	18	.	.	PUNCT
cana-2013	224	1	with	with	ADP
cana-2013	224	2	every	every	DET
cana-2013	224	3	unitary	unitary	ADJ
cana-2013	224	4	portion	portion	NOUN
cana-2013	224	5	,	,	PUNCT
cana-2013	224	6	the	the	DET
cana-2013	224	7	mean	mean	ADJ
cana-2013	224	8	-	-	PUNCT
cana-2013	224	9	field	field	NOUN
cana-2013	224	10	technique	technique	NOUN
cana-2013	224	11	generates	generate	VERB
cana-2013	224	12	a	a	DET
cana-2013	224	13	relationship	relationship	NOUN
cana-2013	224	14	lattice	lattice	NOUN
cana-2013	224	15	:	:	PUNCT
cana-2013	224	16	b12	b12	NOUN
cana-2013	224	17	=	=	SYM
cana-2013	224	18	j	j	PROPN
cana-2013	224	19	,	,	PUNCT
cana-2013	224	20	where	where	SCONJ
cana-2013	224	21	j	j	PROPN
cana-2013	224	22	is	be	AUX
cana-2013	224	23	the	the	DET
cana-2013	224	24	entire	entire	ADJ
cana-2013	224	25	network	network	NOUN
cana-2013	224	26	;	;	PUNCT
cana-2013	224	27	the	the	DET
cana-2013	224	28	weight	weight	NOUN
cana-2013	224	29	of	of	ADP
cana-2013	224	30	each	each	DET
cana-2013	224	31	interlink	interlink	NOUN
cana-2013	224	32	is	be	AUX
cana-2013	224	33	α	α	NOUN
cana-2013	224	34	=	=	SYM
cana-2013	224	35	l12	l12	NOUN
cana-2013	224	36	n2	n2	NOUN
cana-2013	224	37	1	1	NUM
cana-2013	224	38	,	,	PUNCT
cana-2013	224	39	and	and	CCONJ
cana-2013	224	40	communications	communication	NOUN
cana-2013	224	41	on	on	ADP
cana-2013	224	42	applied	apply	VERB
cana-2013	224	43	nonlinear	nonlinear	ADJ
cana-2013	224	44	analysis	analysis	NOUN
cana-2013	224	45	issn	issn	NOUN
cana-2013	224	46	:	:	PUNCT
cana-2013	224	47	1074	1074	NUM
cana-2013	224	48	-	-	PUNCT
cana-2013	224	49	133x	133x	NUM
cana-2013	224	50	vol	vol	NOUN
cana-2013	224	51	32	32	NUM
cana-2013	224	52	no	no	NOUN
cana-2013	224	53	.	.	NOUN
cana-2013	224	54	3	3	NUM
cana-2013	224	55	(	(	PUNCT
cana-2013	224	56	2025	2025	NUM
cana-2013	224	57	)	)	PUNCT
cana-2013	225	1	535	535	NUM
cana-2013	225	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	225	3	𝑸	𝑸	NOUN
cana-2013	225	4	=	=	SYM
cana-2013	225	5	𝑸𝑨	𝑸𝑨	PROPN
cana-2013	226	1	+	+	NOUN
cana-2013	226	2	∝	∝	NOUN
cana-2013	226	3	𝑸𝑩	𝑸𝑩	NOUN
cana-2013	226	4	=	=	PUNCT
cana-2013	227	1	[	[	PUNCT
cana-2013	227	2	𝑸𝟏	𝑸𝟏	X
cana-2013	228	1	+	+	X
cana-2013	228	2	∝	∝	PROPN
cana-2013	228	3	𝑵𝟏𝑰	𝑵𝟏𝑰	X
cana-2013	228	4	−∝	−∝	PROPN
cana-2013	228	5	𝑱	𝑱	PROPN
cana-2013	228	6	−∝	−∝	PROPN
cana-2013	228	7	𝑱	𝑱	NOUN
cana-2013	228	8	𝑸𝟐	𝑸𝟐	VERB
cana-2013	229	1	+	+	ADP
cana-2013	229	2	∝	∝	X
cana-2013	229	3	𝑵𝟏𝑰	𝑵𝟏𝑰	X
cana-2013	229	4	]	]	X
cana-2013	229	5	.	.	PUNCT
cana-2013	230	1	(	(	PUNCT
cana-2013	230	2	𝟏𝟐	𝟏𝟐	NUM
cana-2013	230	3	)	)	PUNCT
cana-2013	230	4	the	the	DET
cana-2013	230	5	qb	qb	PROPN
cana-2013	230	6	grid	grid	NOUN
cana-2013	230	7	drives	drive	NOUN
cana-2013	230	8	with	with	ADP
cana-2013	230	9	qa	qa	PROPN
cana-2013	230	10	,	,	PUNCT
cana-2013	230	11	just	just	ADV
cana-2013	230	12	like	like	INTJ
cana-2013	230	13	in	in	ADP
cana-2013	230	14	the	the	DET
cana-2013	230	15	previous	previous	ADJ
cana-2013	230	16	instance	instance	NOUN
cana-2013	230	17	,	,	PUNCT
cana-2013	230	18	thus	thus	ADV
cana-2013	230	19	an	an	DET
cana-2013	230	20	eigenvector	eigenvector	NOUN
cana-2013	230	21	arrangement	arrangement	NOUN
cana-2013	230	22	that	that	PRON
cana-2013	230	23	is	be	AUX
cana-2013	230	24	usual	usual	ADJ
cana-2013	230	25	can	can	AUX
cana-2013	230	26	be	be	AUX
cana-2013	230	27	chosen	choose	VERB
cana-2013	230	28	.	.	PUNCT
cana-2013	231	1	all	all	DET
cana-2013	231	2	other	other	ADJ
cana-2013	231	3	eigenvalues	eigenvalue	VERB
cana-2013	231	4	experience	experience	NOUN
cana-2013	231	5	some	some	DET
cana-2013	231	6	increment	increment	NOUN
cana-2013	231	7	for	for	ADP
cana-2013	231	8	a	a	DET
cana-2013	231	9	non	non	ADJ
cana-2013	231	10	-	-	ADJ
cana-2013	231	11	paltry	paltry	ADJ
cana-2013	231	12	α	α	NOUN
cana-2013	231	13	,	,	PUNCT
cana-2013	231	14	except	except	SCONJ
cana-2013	231	15	for	for	ADP
cana-2013	231	16	the	the	DET
cana-2013	231	17	invalid	invalid	ADJ
cana-2013	231	18	eigenvalue	eigenvalue	PROPN
cana-2013	231	19	µn	µn	PROPN
cana-2013	231	20	,	,	PUNCT
cana-2013	231	21	which	which	PRON
cana-2013	231	22	is	be	AUX
cana-2013	231	23	always	always	ADV
cana-2013	231	24	present	present	ADJ
cana-2013	231	25	.	.	PUNCT
cana-2013	232	1	all	all	PRON
cana-2013	232	2	eigenvalues	eigenvalue	VERB
cana-2013	232	3	µi	µi	PROPN
cana-2013	232	4	for	for	ADP
cana-2013	232	5	i	i	PRON
cana-2013	232	6	that	that	PRON
cana-2013	232	7	is	be	AUX
cana-2013	232	8	less	less	ADJ
cana-2013	232	9	than	than	ADP
cana-2013	232	10	n	n	NOUN
cana-2013	232	11	−	−	PROPN
cana-2013	232	12	1	1	NUM
cana-2013	232	13	increment	increment	NOUN
cana-2013	232	14	for	for	ADP
cana-2013	232	15	a	a	DET
cana-2013	232	16	respectable	respectable	ADJ
cana-2013	232	17	sum	sum	NOUN
cana-2013	232	18	αn1	αn1	NOUN
cana-2013	232	19	,	,	PUNCT
cana-2013	232	20	but	but	CCONJ
cana-2013	232	21	µn−1	µn−1	ADP
cana-2013	232	22	increments	increment	NOUN
cana-2013	232	23	by	by	ADP
cana-2013	232	24	double	double	ADJ
cana-2013	232	25	that	that	DET
cana-2013	232	26	amount	amount	NOUN
cana-2013	232	27	,	,	PUNCT
cana-2013	232	28	{	{	PUNCT
cana-2013	232	29	𝝁𝑵	𝝁𝑵	X
cana-2013	232	30	=	=	SYM
cana-2013	232	31	𝟎	𝟎	PROPN
cana-2013	232	32	,	,	PUNCT
cana-2013	232	33	𝝁𝑵−𝟏	𝝁𝑵−𝟏	PUNCT
cana-2013	232	34	=	=	SYM
cana-2013	232	35	𝟐	𝟐	NUM
cana-2013	232	36	∝	∝	PROPN
cana-2013	232	37	𝑵𝟏	𝑵𝟏	PROPN
cana-2013	232	38	,	,	PUNCT
cana-2013	232	39	𝝁𝒊	𝝁𝒊	PROPN
cana-2013	233	1	=	=	SYM
cana-2013	233	2	𝝎𝒊	𝝎𝒊	INTJ
cana-2013	234	1	+	+	NOUN
cana-2013	234	2	∝	∝	PROPN
cana-2013	234	3	𝑵𝟏	𝑵𝟏	PROPN
cana-2013	234	4	,	,	PUNCT
cana-2013	234	5	𝒇𝒐𝒓	𝒇𝒐𝒓	PROPN
cana-2013	234	6	𝒊	𝒊	X
cana-2013	234	7	≤	≤	NOUN
cana-2013	235	1	𝑵	𝑵	PROPN
cana-2013	235	2	−	−	PROPN
cana-2013	235	3	𝟏.	𝟏.	X
cana-2013	235	4	(	(	PUNCT
cana-2013	235	5	𝟏𝟑	𝟏𝟑	NUM
cana-2013	235	6	)	)	PUNCT
cana-2013	235	7	the	the	DET
cana-2013	235	8	varying	vary	VERB
cana-2013	235	9	development	development	NOUN
cana-2013	235	10	rates	rate	NOUN
cana-2013	235	11	indicate	indicate	VERB
cana-2013	235	12	that	that	SCONJ
cana-2013	235	13	the	the	DET
cana-2013	235	14	second	second	ADJ
cana-2013	235	15	and	and	CCONJ
cana-2013	235	16	third	third	ADJ
cana-2013	235	17	eigenvectors	eigenvector	NOUN
cana-2013	235	18	(	(	PUNCT
cana-2013	235	19	µn−1	µn−1	ADP
cana-2013	235	20	and	and	CCONJ
cana-2013	235	21	µn−2	µn−2	PROPN
cana-2013	235	22	)	)	PUNCT
cana-2013	235	23	trade	trade	NOUN
cana-2013	235	24	beyond	beyond	ADP
cana-2013	235	25	a	a	DET
cana-2013	235	26	fundamental	fundamental	ADJ
cana-2013	235	27	worth	worth	ADJ
cana-2013	235	28	αj	αj	NOUN
cana-2013	235	29	.	.	PUNCT
cana-2013	236	1	it	it	PRON
cana-2013	236	2	is	be	AUX
cana-2013	236	3	possible	possible	ADJ
cana-2013	236	4	to	to	PART
cana-2013	236	5	obtain	obtain	VERB
cana-2013	236	6	the	the	DET
cana-2013	236	7	limit	limit	NOUN
cana-2013	236	8	αj	αj	NOUN
cana-2013	236	9	by	by	ADP
cana-2013	236	10	using	use	VERB
cana-2013	236	11	the	the	DET
cana-2013	236	12	intersection	intersection	NOUN
cana-2013	236	13	condition	condition	NOUN
cana-2013	236	14	µn−1	µn−1	ADP
cana-2013	236	15	=	=	SYM
cana-2013	236	16	µn−2	µn−2	PROPN
cana-2013	236	17	,	,	PUNCT
cana-2013	236	18	∝	∝	PROPN
cana-2013	236	19	𝑱	𝑱	PROPN
cana-2013	236	20	=	=	SYM
cana-2013	236	21	𝝎𝑵−𝟏	𝝎𝑵−𝟏	PROPN
cana-2013	236	22	𝑵𝟏	𝑵𝟏	NOUN
cana-2013	236	23	.	.	PUNCT
cana-2013	237	1	(	(	PUNCT
cana-2013	237	2	𝟏𝟒	𝟏𝟒	NUM
cana-2013	237	3	)	)	PUNCT
cana-2013	237	4	we	we	PRON
cana-2013	237	5	can	can	AUX
cana-2013	237	6	estimate	estimate	VERB
cana-2013	237	7	the	the	DET
cana-2013	237	8	minimum	minimum	ADJ
cana-2013	237	9	number	number	NOUN
cana-2013	237	10	of	of	ADP
cana-2013	237	11	connections	connection	NOUN
cana-2013	237	12	for	for	ADP
cana-2013	237	13	the	the	DET
cana-2013	237	14	arbitrary	arbitrary	ADJ
cana-2013	237	15	interlinking	interlinking	NOUN
cana-2013	237	16	technique	technique	NOUN
cana-2013	237	17	as	as	SCONJ
cana-2013	237	18	follows	follow	VERB
cana-2013	237	19	,	,	PUNCT
cana-2013	237	20	given	give	VERB
cana-2013	237	21	that	that	SCONJ
cana-2013	237	22	α	α	NOUN
cana-2013	237	23	=	=	SYM
cana-2013	237	24	l12	l12	NOUN
cana-2013	237	25	n2	n2	NOUN
cana-2013	237	26	1	1	NUM
cana-2013	237	27	.	.	PUNCT
cana-2013	237	28	𝒍𝑱	𝒍𝑱	NOUN
cana-2013	238	1	=	=	PRON
cana-2013	238	2	∝	∝	PROPN
cana-2013	238	3	𝑱𝑵𝟏	𝑱𝑵𝟏	PROPN
cana-2013	238	4	𝟐	𝟐	NUM
cana-2013	238	5	=	=	SYM
cana-2013	238	6	𝝎𝑵−	𝝎𝑵−	PROPN
cana-2013	238	7	𝟏.𝑵𝟏.	𝟏.𝑵𝟏.	PROPN
cana-2013	238	8	(	(	PUNCT
cana-2013	238	9	𝟏𝟓	𝟏𝟓	NUM
cana-2013	238	10	)	)	PUNCT
cana-2013	238	11	it	it	PRON
cana-2013	238	12	is	be	AUX
cana-2013	238	13	crucial	crucial	ADJ
cana-2013	238	14	that	that	SCONJ
cana-2013	238	15	general	general	ADJ
cana-2013	238	16	interlink	interlink	NOUN
cana-2013	238	17	techniques	technique	NOUN
cana-2013	238	18	and	and	CCONJ
cana-2013	238	19	the	the	DET
cana-2013	238	20	basic	basic	ADJ
cana-2013	238	21	number	number	NOUN
cana-2013	238	22	of	of	ADP
cana-2013	238	23	interlinks	interlink	NOUN
cana-2013	238	24	in	in	ADP
cana-2013	238	25	relation	relation	NOUN
cana-2013	238	26	to	to	ADP
cana-2013	238	27	the	the	DET
cana-2013	238	28	inclining	incline	VERB
cana-2013	238	29	mean	mean	ADJ
cana-2013	238	30	-	-	PUNCT
cana-2013	238	31	field	field	NOUN
cana-2013	238	32	hypothesis	hypothesis	NOUN
cana-2013	238	33	differ	differ	VERB
cana-2013	238	34	by	by	ADP
cana-2013	238	35	roughly	roughly	ADV
cana-2013	238	36	a	a	DET
cana-2013	238	37	factor	factor	NOUN
cana-2013	238	38	of	of	ADP
cana-2013	238	39	two	two	NUM
cana-2013	238	40	.	.	PUNCT
cana-2013	239	1	c	c	X
cana-2013	239	2	)	)	PUNCT
cana-2013	239	3	physical	physical	ADJ
cana-2013	239	4	interpretation	interpretation	NOUN
cana-2013	239	5	on	on	ADP
cana-2013	239	6	the	the	DET
cana-2013	239	7	off	off	ADJ
cana-2013	239	8	chance	chance	NOUN
cana-2013	239	9	that	that	SCONJ
cana-2013	239	10	we	we	PRON
cana-2013	239	11	characterize	characterize	VERB
cana-2013	239	12	network	network	NOUN
cana-2013	239	13	power	power	NOUN
cana-2013	239	14	as	as	ADP
cana-2013	239	15	a	a	DET
cana-2013	239	16	system	system	NOUN
cana-2013	239	17	's	's	PART
cana-2013	239	18	capacity	capacity	NOUN
cana-2013	239	19	to	to	PART
cana-2013	239	20	play	play	VERB
cana-2013	239	21	out	out	ADP
cana-2013	239	22	its	its	PRON
cana-2013	239	23	capability	capability	NOUN
cana-2013	239	24	in	in	ADP
cana-2013	239	25	case	case	NOUN
cana-2013	239	26	of	of	ADP
cana-2013	239	27	harm	harm	NOUN
cana-2013	239	28	or	or	CCONJ
cana-2013	239	29	assaults	assault	NOUN
cana-2013	239	30	,	,	PUNCT
cana-2013	239	31	it	it	PRON
cana-2013	239	32	merits	merit	VERB
cana-2013	239	33	exploring	explore	VERB
cana-2013	239	34	what	what	PRON
cana-2013	239	35	happens	happen	VERB
cana-2013	239	36	when	when	SCONJ
cana-2013	239	37	two	two	NUM
cana-2013	239	38	networks	network	NOUN
cana-2013	239	39	,	,	PUNCT
cana-2013	239	40	a1	a1	NOUN
cana-2013	239	41	and	and	CCONJ
cana-2013	239	42	a2	a2	PROPN
cana-2013	239	43	,	,	PUNCT
cana-2013	239	44	which	which	PRON
cana-2013	239	45	were	be	AUX
cana-2013	239	46	at	at	ADP
cana-2013	239	47	first	first	ADV
cana-2013	239	48	connected	connect	VERB
cana-2013	239	49	together	together	ADV
cana-2013	239	50	by	by	ADP
cana-2013	239	51	b	b	PROPN
cana-2013	239	52	's	's	PART
cana-2013	239	53	corner	corner	NOUN
cana-2013	239	54	-	-	PUNCT
cana-2013	239	55	to	to	ADP
cana-2013	239	56	-	-	PUNCT
cana-2013	239	57	corner	corner	NOUN
cana-2013	239	58	interlinking	interlinking	NOUN
cana-2013	239	59	,	,	PUNCT
cana-2013	239	60	are	be	AUX
cana-2013	239	61	exposed	expose	VERB
cana-2013	239	62	to	to	ADP
cana-2013	239	63	purposeful	purposeful	ADJ
cana-2013	239	64	assaults	assault	NOUN
cana-2013	239	65	or	or	CCONJ
cana-2013	239	66	interlink	interlink	NOUN
cana-2013	239	67	setback	setback	NOUN
cana-2013	239	68	.	.	PUNCT
cana-2013	240	1	our	our	PRON
cana-2013	240	2	basic	basic	ADJ
cana-2013	240	3	,	,	PUNCT
cana-2013	240	4	express	express	ADJ
cana-2013	240	5	model	model	NOUN
cana-2013	240	6	exhibits	exhibit	NOUN
cana-2013	240	7	that	that	SCONJ
cana-2013	240	8	the	the	DET
cana-2013	240	9	reaction	reaction	NOUN
cana-2013	240	10	of	of	ADP
cana-2013	240	11	the	the	DET
cana-2013	240	12	hard	hard	ADJ
cana-2013	240	13	and	and	CCONJ
cana-2013	240	14	fast	fast	ADJ
cana-2013	240	15	interfacing	interfacing	NOUN
cana-2013	240	16	system	system	NOUN
cana-2013	240	17	a	a	DET
cana-2013	240	18	+	+	X
cana-2013	240	19	αb	αb	PRON
cana-2013	240	20	happens	happen	VERB
cana-2013	240	21	at	at	ADP
cana-2013	240	22	a	a	DET
cana-2013	240	23	similar	similar	ADJ
cana-2013	240	24	rate	rate	NOUN
cana-2013	240	25	as	as	ADP
cana-2013	240	26	the	the	DET
cana-2013	240	27	single	single	ADJ
cana-2013	240	28	part	part	NOUN
cana-2013	240	29	network	network	NOUN
cana-2013	240	30	a1	a1	NOUN
cana-2013	240	31	when	when	SCONJ
cana-2013	240	32	these	these	DET
cana-2013	240	33	two	two	NUM
cana-2013	240	34	completely	completely	ADV
cana-2013	240	35	related	relate	VERB
cana-2013	240	36	networks	network	NOUN
cana-2013	240	37	rely	rely	VERB
cana-2013	240	38	upon	upon	SCONJ
cana-2013	240	39	little	little	ADJ
cana-2013	240	40	interlink	interlink	NOUN
cana-2013	240	41	issues	issue	NOUN
cana-2013	240	42	.	.	PUNCT
cana-2013	241	1	eventually	eventually	ADV
cana-2013	241	2	,	,	PUNCT
cana-2013	241	3	worldwide	worldwide	ADJ
cana-2013	241	4	system	system	NOUN
cana-2013	241	5	synchronizability	synchronizability	NOUN
cana-2013	241	6	does	do	AUX
cana-2013	241	7	n't	not	PART
cana-2013	241	8	diminish	diminish	VERB
cana-2013	241	9	when	when	SCONJ
cana-2013	241	10	the	the	DET
cana-2013	241	11	operability	operability	NOUN
cana-2013	241	12	of	of	ADP
cana-2013	241	13	the	the	DET
cana-2013	241	14	control	control	NOUN
cana-2013	241	15	channel	channel	NOUN
cana-2013	241	16	through	through	ADP
cana-2013	241	17	α	α	PROPN
cana-2013	241	18	is	be	AUX
cana-2013	241	19	fairly	fairly	ADV
cana-2013	241	20	decreased	decrease	VERB
cana-2013	241	21	.	.	PUNCT
cana-2013	242	1	notwithstanding	notwithstanding	ADV
cana-2013	242	2	,	,	PUNCT
cana-2013	242	3	in	in	ADP
cana-2013	242	4	the	the	DET
cana-2013	242	5	event	event	NOUN
cana-2013	242	6	that	that	PRON
cana-2013	242	7	the	the	DET
cana-2013	242	8	association	association	NOUN
cana-2013	242	9	gadgets	gadget	NOUN
cana-2013	242	10	'	'	PART
cana-2013	242	11	usefulness	usefulness	NOUN
cana-2013	242	12	falls	fall	VERB
cana-2013	242	13	apart	apart	ADV
cana-2013	242	14	beneath	beneath	ADP
cana-2013	242	15	the	the	DET
cana-2013	242	16	major	major	ADJ
cana-2013	242	17	worth	worth	NOUN
cana-2013	242	18	αi	αi	NOUN
cana-2013	242	19	,	,	PUNCT
cana-2013	242	20	the	the	DET
cana-2013	242	21	synchronization	synchronization	NOUN
cana-2013	242	22	connection	connection	NOUN
cana-2013	242	23	dials	dial	NOUN
cana-2013	242	24	back	back	ADV
cana-2013	242	25	this	this	PRON
cana-2013	242	26	proposes	propose	VERB
cana-2013	242	27	that	that	SCONJ
cana-2013	242	28	,	,	PUNCT
cana-2013	242	29	from	from	ADP
cana-2013	242	30	the	the	DET
cana-2013	242	31	outlook	outlook	NOUN
cana-2013	242	32	of	of	ADP
cana-2013	242	33	the	the	DET
cana-2013	242	34	mean	mean	ADJ
cana-2013	242	35	-	-	PUNCT
cana-2013	242	36	field	field	NOUN
cana-2013	242	37	technique	technique	NOUN
cana-2013	242	38	,	,	PUNCT
cana-2013	242	39	the	the	DET
cana-2013	242	40	system	system	NOUN
cana-2013	242	41	might	might	AUX
cana-2013	242	42	lose	lose	VERB
cana-2013	242	43	a	a	DET
cana-2013	242	44	small	small	ADJ
cana-2013	242	45	level	level	NOUN
cana-2013	242	46	of	of	ADP
cana-2013	242	47	interlinks	interlink	NOUN
cana-2013	242	48	while	while	SCONJ
cana-2013	242	49	keeping	keep	VERB
cana-2013	242	50	up	up	ADP
cana-2013	242	51	with	with	ADP
cana-2013	242	52	its	its	PRON
cana-2013	242	53	synchronization	synchronization	NOUN
cana-2013	242	54	time	time	NOUN
cana-2013	242	55	.	.	PUNCT
cana-2013	243	1	according	accord	VERB
cana-2013	243	2	to	to	ADP
cana-2013	243	3	the	the	DET
cana-2013	243	4	viewpoint	viewpoint	NOUN
cana-2013	243	5	of	of	ADP
cana-2013	243	6	estimation	estimation	NOUN
cana-2013	243	7	,	,	PUNCT
cana-2013	243	8	the	the	DET
cana-2013	243	9	limit	limit	NOUN
cana-2013	243	10	α	α	PRON
cana-2013	243	11	can	can	AUX
cana-2013	243	12	be	be	AUX
cana-2013	243	13	perceived	perceive	VERB
cana-2013	243	14	as	as	ADP
cana-2013	243	15	a	a	DET
cana-2013	243	16	coupling	coupling	NOUN
cana-2013	243	17	consistent	consistent	ADJ
cana-2013	243	18	.	.	PUNCT
cana-2013	244	1	on	on	ADP
cana-2013	244	2	the	the	DET
cana-2013	244	3	off	off	ADJ
cana-2013	244	4	chance	chance	NOUN
cana-2013	244	5	that	that	SCONJ
cana-2013	244	6	the	the	DET
cana-2013	244	7	fiedler	fiedler	PROPN
cana-2013	244	8	eigenvalue	eigenvalue	PROPN
cana-2013	244	9	µn−1	µn−1	PROPN
cana-2013	244	10	is	be	AUX
cana-2013	244	11	related	relate	VERB
cana-2013	244	12	to	to	ADP
cana-2013	244	13	the	the	DET
cana-2013	244	14	interior	interior	ADJ
cana-2013	244	15	energy	energy	NOUN
cana-2013	244	16	of	of	ADP
cana-2013	244	17	a	a	DET
cana-2013	244	18	thermodynamic	thermodynamic	ADJ
cana-2013	244	19	system	system	NOUN
cana-2013	244	20	,	,	PUNCT
cana-2013	244	21	then	then	ADV
cana-2013	244	22	,	,	PUNCT
cana-2013	244	23	at	at	ADP
cana-2013	244	24	that	that	DET
cana-2013	244	25	point	point	NOUN
cana-2013	244	26	,	,	PUNCT
cana-2013	244	27	its	its	PRON
cana-2013	244	28	most	most	ADV
cana-2013	244	29	unmistakable	unmistakable	ADJ
cana-2013	244	30	subordinate	subordinate	NOUN
cana-2013	244	31	shows	show	VERB
cana-2013	244	32	a	a	DET
cana-2013	244	33	progress	progress	NOUN
cana-2013	244	34	from	from	ADP
cana-2013	244	35	zero	zero	NUM
cana-2013	244	36	to	to	ADP
cana-2013	244	37	limited	limited	ADJ
cana-2013	244	38	esteem	esteem	NOUN
cana-2013	244	39	.	.	PUNCT
cana-2013	245	1	one	one	NUM
cana-2013	245	2	way	way	NOUN
cana-2013	245	3	or	or	CCONJ
cana-2013	245	4	the	the	DET
cana-2013	245	5	other	other	ADJ
cana-2013	245	6	,	,	PUNCT
cana-2013	245	7	this	this	DET
cana-2013	245	8	subordinate	subordinate	NOUN
cana-2013	245	9	remains	remain	VERB
cana-2013	245	10	dedicated	dedicated	ADJ
cana-2013	245	11	to	to	PART
cana-2013	245	12	frame	frame	VERB
cana-2013	245	13	request	request	NOUN
cana-2013	245	14	1	1	NUM
cana-2013	245	15	development	development	NOUN
cana-2013	245	16	in	in	ADP
cana-2013	245	17	a	a	DET
cana-2013	245	18	concise	concise	ADJ
cana-2013	245	19	way	way	NOUN
cana-2013	245	20	.	.	PUNCT
cana-2013	246	1	be	be	AUX
cana-2013	246	2	that	that	PRON
cana-2013	246	3	as	as	SCONJ
cana-2013	246	4	it	it	PRON
cana-2013	246	5	may	may	AUX
cana-2013	246	6	,	,	PUNCT
cana-2013	246	7	on	on	ADP
cana-2013	246	8	the	the	DET
cana-2013	246	9	off	off	ADJ
cana-2013	246	10	chance	chance	NOUN
cana-2013	246	11	that	that	SCONJ
cana-2013	246	12	the	the	DET
cana-2013	246	13	fiedler	fiedler	PROPN
cana-2013	246	14	eigenvalue	eigenvalue	PROPN
cana-2013	246	15	is	be	AUX
cana-2013	246	16	utilized	utilize	VERB
cana-2013	246	17	to	to	PART
cana-2013	246	18	survey	survey	VERB
cana-2013	246	19	synchronizability	synchronizability	NOUN
cana-2013	246	20	and	and	CCONJ
cana-2013	246	21	is	be	AUX
cana-2013	246	22	viewed	view	VERB
cana-2013	246	23	as	as	ADP
cana-2013	246	24	a	a	DET
cana-2013	246	25	thermodynamically	thermodynamically	ADV
cana-2013	246	26	anticipated	anticipate	VERB
cana-2013	246	27	amount	amount	NOUN
cana-2013	246	28	,	,	PUNCT
cana-2013	246	29	for	for	ADP
cana-2013	246	30	example	example	NOUN
cana-2013	246	31	,	,	PUNCT
cana-2013	246	32	the	the	DET
cana-2013	246	33	free	free	ADJ
cana-2013	246	34	enthalpy	enthalpy	NOUN
cana-2013	246	35	,	,	PUNCT
cana-2013	246	36	then	then	ADV
cana-2013	246	37	,	,	PUNCT
cana-2013	246	38	at	at	ADP
cana-2013	246	39	that	that	DET
cana-2013	246	40	point	point	NOUN
cana-2013	246	41	,	,	PUNCT
cana-2013	246	42	its	its	PRON
cana-2013	246	43	legendre	legendre	PROPN
cana-2013	246	44	change	change	NOUN
cana-2013	246	45	looks	look	VERB
cana-2013	246	46	at	at	ADP
cana-2013	246	47	to	to	ADP
cana-2013	246	48	the	the	DET
cana-2013	246	49	inner	inner	ADJ
cana-2013	246	50	energy	energy	NOUN
cana-2013	246	51	and	and	CCONJ
cana-2013	246	52	shows	show	VERB
cana-2013	246	53	a	a	DET
cana-2013	246	54	brokenness	brokenness	NOUN
cana-2013	246	55	at	at	ADP
cana-2013	246	56	α	α	PROPN
cana-2013	246	57	=	=	SYM
cana-2013	246	58	αi	αi	PROPN
cana-2013	246	59	.	.	PUNCT
cana-2013	247	1	from	from	ADP
cana-2013	247	2	this	this	DET
cana-2013	247	3	vantage	vantage	NOUN
cana-2013	247	4	point	point	NOUN
cana-2013	247	5	,	,	PUNCT
cana-2013	247	6	the	the	DET
cana-2013	247	7	noticed	noticed	ADJ
cana-2013	247	8	startling	startling	ADJ
cana-2013	247	9	change	change	NOUN
cana-2013	247	10	could	could	AUX
cana-2013	247	11	be	be	AUX
cana-2013	247	12	deciphered	decipher	VERB
cana-2013	247	13	as	as	ADP
cana-2013	247	14	the	the	DET
cana-2013	247	15	progression	progression	NOUN
cana-2013	247	16	of	of	ADP
cana-2013	247	17	the	the	DET
cana-2013	247	18	main	main	ADJ
cana-2013	247	19	solicitation	solicitation	NOUN
cana-2013	247	20	stage	stage	NOUN
cana-2013	247	21	.	.	PUNCT
cana-2013	248	1	in	in	ADP
cana-2013	248	2	spite	spite	NOUN
cana-2013	248	3	of	of	ADP
cana-2013	248	4	this	this	DET
cana-2013	248	5	charming	charming	ADJ
cana-2013	248	6	equality	equality	NOUN
cana-2013	248	7	,	,	PUNCT
cana-2013	248	8	it	it	PRON
cana-2013	248	9	is	be	AUX
cana-2013	248	10	critical	critical	ADJ
cana-2013	248	11	to	to	PART
cana-2013	248	12	recollect	recollect	VERB
cana-2013	248	13	that	that	SCONJ
cana-2013	248	14	the	the	DET
cana-2013	248	15	fiedler	fiedler	PROPN
cana-2013	248	16	eigenvalue	eigenvalue	PROPN
cana-2013	248	17	and	and	CCONJ
cana-2013	248	18	related	relate	VERB
cana-2013	248	19	legendre	legendre	NOUN
cana-2013	248	20	change	change	NOUN
cana-2013	248	21	are	be	AUX
cana-2013	248	22	not	not	PART
cana-2013	248	23	enormous	enormous	ADJ
cana-2013	248	24	qualities	quality	NOUN
cana-2013	248	25	and	and	CCONJ
cana-2013	248	26	,	,	PUNCT
cana-2013	248	27	thusly	thusly	ADV
cana-2013	248	28	,	,	PUNCT
cana-2013	248	29	ca	can	AUX
cana-2013	248	30	n't	not	PART
cana-2013	248	31	be	be	AUX
cana-2013	248	32	viewed	view	VERB
cana-2013	248	33	as	as	ADP
cana-2013	248	34	communications	communication	NOUN
cana-2013	248	35	on	on	ADP
cana-2013	248	36	applied	apply	VERB
cana-2013	248	37	nonlinear	nonlinear	ADJ
cana-2013	248	38	analysis	analysis	NOUN
cana-2013	248	39	issn	issn	NOUN
cana-2013	248	40	:	:	PUNCT
cana-2013	248	41	1074	1074	NUM
cana-2013	248	42	-	-	PUNCT
cana-2013	248	43	133x	133x	NUM
cana-2013	248	44	vol	vol	NOUN
cana-2013	248	45	32	32	NUM
cana-2013	248	46	no	no	NOUN
cana-2013	248	47	.	.	NOUN
cana-2013	248	48	3	3	NUM
cana-2013	248	49	(	(	PUNCT
cana-2013	248	50	2025	2025	NUM
cana-2013	248	51	)	)	PUNCT
cana-2013	248	52	536	536	NUM
cana-2013	248	53	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	248	54	thermodynamically	thermodynamically	ADV
cana-2013	248	55	attainable	attainable	ADJ
cana-2013	248	56	.	.	PUNCT
cana-2013	249	1	whether	whether	SCONJ
cana-2013	249	2	or	or	CCONJ
cana-2013	249	3	not	not	PART
cana-2013	249	4	this	this	DET
cana-2013	249	5	unforeseen	unforeseen	ADJ
cana-2013	249	6	shift	shift	NOUN
cana-2013	249	7	is	be	AUX
cana-2013	249	8	the	the	DET
cana-2013	249	9	result	result	NOUN
cana-2013	249	10	of	of	ADP
cana-2013	249	11	some	some	DET
cana-2013	249	12	secret	secret	ADJ
cana-2013	249	13	authentic	authentic	ADJ
cana-2013	249	14	vestige	vestige	NOUN
cana-2013	249	15	stays	stay	NOUN
cana-2013	249	16	unanswered	unanswere	VERB
cana-2013	249	17	.	.	PUNCT
cana-2013	250	1	one	one	PRON
cana-2013	250	2	could	could	AUX
cana-2013	250	3	look	look	VERB
cana-2013	250	4	at	at	ADP
cana-2013	250	5	the	the	DET
cana-2013	250	6	topological	topological	ADJ
cana-2013	250	7	characteristics	characteristic	NOUN
cana-2013	250	8	of	of	ADP
cana-2013	250	9	the	the	DET
cana-2013	250	10	eigenvectors	eigenvector	NOUN
cana-2013	250	11	in	in	ADP
cana-2013	250	12	order	order	NOUN
cana-2013	250	13	to	to	PART
cana-2013	250	14	understand	understand	VERB
cana-2013	250	15	the	the	DET
cana-2013	250	16	near	near	ADJ
cana-2013	250	17	concept	concept	NOUN
cana-2013	250	18	of	of	ADP
cana-2013	250	19	the	the	DET
cana-2013	250	20	stage	stage	NOUN
cana-2013	250	21	change	change	NOUN
cana-2013	250	22	.	.	PUNCT
cana-2013	251	1	the	the	DET
cana-2013	251	2	fiedler	fiedler	PROPN
cana-2013	251	3	segment	segment	NOUN
cana-2013	251	4	's	's	PART
cana-2013	251	5	cut	cut	NOUN
cana-2013	251	6	connections	connection	NOUN
cana-2013	251	7	are	be	AUX
cana-2013	251	8	limited	limit	VERB
cana-2013	251	9	to	to	ADP
cana-2013	251	10	being	be	AUX
cana-2013	251	11	outside	outside	ADP
cana-2013	251	12	the	the	DET
cana-2013	251	13	first	first	ADJ
cana-2013	251	14	networks	network	NOUN
cana-2013	251	15	(	(	PUNCT
cana-2013	251	16	interlinks	interlink	NOUN
cana-2013	251	17	,	,	PUNCT
cana-2013	251	18	for	for	ADP
cana-2013	251	19	example	example	NOUN
cana-2013	251	20	)	)	PUNCT
cana-2013	251	21	below	below	ADP
cana-2013	251	22	the	the	DET
cana-2013	251	23	basic	basic	ADJ
cana-2013	251	24	worth	worth	NOUN
cana-2013	251	25	αi	αi	NOUN
cana-2013	251	26	,	,	PUNCT
cana-2013	251	27	while	while	SCONJ
cana-2013	251	28	all	all	DET
cana-2013	251	29	cut	cut	VERB
cana-2013	251	30	connections	connection	NOUN
cana-2013	251	31	lie	lie	VERB
cana-2013	251	32	inside	inside	ADP
cana-2013	251	33	the	the	DET
cana-2013	251	34	initially	initially	ADV
cana-2013	251	35	detached	detach	VERB
cana-2013	251	36	networks	network	NOUN
cana-2013	251	37	above	above	ADP
cana-2013	251	38	the	the	DET
cana-2013	251	39	basic	basic	ADJ
cana-2013	251	40	worth	worth	NOUN
cana-2013	251	41	(	(	PUNCT
cana-2013	251	42	intralinks	intralink	NOUN
cana-2013	251	43	,	,	PUNCT
cana-2013	251	44	for	for	ADP
cana-2013	251	45	example	example	NOUN
cana-2013	251	46	)	)	PUNCT
cana-2013	251	47	.	.	PUNCT
cana-2013	252	1	this	this	PRON
cana-2013	252	2	means	mean	VERB
cana-2013	252	3	that	that	SCONJ
cana-2013	252	4	the	the	DET
cana-2013	252	5	intralinks	intralink	NOUN
cana-2013	252	6	in	in	ADP
cana-2013	252	7	αb	αb	PART
cana-2013	252	8	overwhelm	overwhelm	VERB
cana-2013	252	9	the	the	DET
cana-2013	252	10	synchronisation	synchronisation	NOUN
cana-2013	252	11	below	below	ADP
cana-2013	252	12	αi	αi	NOUN
cana-2013	252	13	,	,	PUNCT
cana-2013	252	14	and	and	CCONJ
cana-2013	252	15	the	the	DET
cana-2013	252	16	complete	complete	ADJ
cana-2013	252	17	system	system	NOUN
cana-2013	252	18	,	,	PUNCT
cana-2013	252	19	a	a	DET
cana-2013	252	20	+	+	X
cana-2013	252	21	αb	αb	NOUN
cana-2013	252	22	,	,	PUNCT
cana-2013	252	23	is	be	AUX
cana-2013	252	24	synchronised	synchronise	VERB
cana-2013	252	25	beyond	beyond	ADP
cana-2013	252	26	αi	αi	PROPN
cana-2013	252	27	.	.	PUNCT
cana-2013	253	1	b.	b.	PROPN
cana-2013	253	2	approximating	approximate	VERB
cana-2013	253	3	µ	µ	ADP
cana-2013	253	4	using	use	VERB
cana-2013	253	5	perturbation	perturbation	NOUN
cana-2013	253	6	theory	theory	NOUN
cana-2013	253	7	we	we	PRON
cana-2013	253	8	carried	carry	VERB
cana-2013	253	9	out	out	ADP
cana-2013	253	10	a	a	DET
cana-2013	253	11	perturbative	perturbative	ADJ
cana-2013	253	12	analysis	analysis	NOUN
cana-2013	253	13	of	of	ADP
cana-2013	253	14	the	the	DET
cana-2013	253	15	laplacian	laplacian	ADJ
cana-2013	253	16	spectra	spectra	NOUN
cana-2013	253	17	in	in	ADP
cana-2013	253	18	order	order	NOUN
cana-2013	253	19	to	to	PART
cana-2013	253	20	obtain	obtain	VERB
cana-2013	253	21	approval	approval	NOUN
cana-2013	253	22	for	for	ADP
cana-2013	253	23	our	our	PRON
cana-2013	253	24	mean	mean	ADJ
cana-2013	253	25	-	-	PUNCT
cana-2013	253	26	field	field	NOUN
cana-2013	253	27	study	study	NOUN
cana-2013	253	28	.	.	PUNCT
cana-2013	254	1	the	the	DET
cana-2013	254	2	theory	theory	NOUN
cana-2013	254	3	of	of	ADP
cana-2013	254	4	irritation	irritation	NOUN
cana-2013	254	5	provides	provide	VERB
cana-2013	254	6	fragments	fragment	NOUN
cana-2013	254	7	of	of	ADP
cana-2013	254	8	information	information	NOUN
cana-2013	254	9	on	on	ADP
cana-2013	254	10	dispersion	dispersion	NOUN
cana-2013	254	11	processes	process	NOUN
cana-2013	254	12	by	by	ADP
cana-2013	254	13	methodically	methodically	ADV
cana-2013	254	14	representing	represent	VERB
cana-2013	254	15	µn−1	µn−1	ADP
cana-2013	254	16	in	in	ADP
cana-2013	254	17	cases	case	NOUN
cana-2013	254	18	when	when	SCONJ
cana-2013	254	19	the	the	DET
cana-2013	254	20	diffusive	diffusive	ADJ
cana-2013	254	21	coupling	coupling	NOUN
cana-2013	254	22	is	be	AUX
cana-2013	254	23	asymptotically	asymptotically	ADV
cana-2013	254	24	small	small	ADJ
cana-2013	254	25	or	or	CCONJ
cana-2013	254	26	large	large	ADJ
cana-2013	254	27	,	,	PUNCT
cana-2013	254	28	across	across	ADP
cana-2013	254	29	the	the	DET
cana-2013	254	30	range	range	NOUN
cana-2013	254	31	of	of	ADP
cana-2013	254	32	g1	g1	PROPN
cana-2013	254	33	and	and	CCONJ
cana-2013	254	34	g2	g2	PROPN
cana-2013	254	35	.	.	PUNCT
cana-2013	255	1	tracking	track	VERB
cana-2013	255	2	down	down	ADP
cana-2013	255	3	the	the	DET
cana-2013	255	4	foundation	foundation	NOUN
cana-2013	255	5	of	of	ADP
cana-2013	255	6	the	the	DET
cana-2013	255	7	related	relate	VERB
cana-2013	255	8	quadratic	quadratic	ADJ
cana-2013	255	9	design	design	NOUN
cana-2013	255	10	in	in	ADP
cana-2013	255	11	the	the	DET
cana-2013	255	12	unitary	unitary	ADJ
cana-2013	255	13	circle	circle	NOUN
cana-2013	255	14	(	(	PUNCT
cana-2013	255	15	x	x	X
cana-2013	255	16	t	t	NOUN
cana-2013	255	17	x	x	SYM
cana-2013	255	18	=	=	NOUN
cana-2013	255	19	1	1	NUM
cana-2013	255	20	)	)	PUNCT
cana-2013	255	21	with	with	ADP
cana-2013	255	22	the	the	DET
cana-2013	255	23	requirement	requirement	NOUN
cana-2013	255	24	u	u	PROPN
cana-2013	255	25	t	t	NOUN
cana-2013	255	26	x	x	PUNCT
cana-2013	255	27	=	=	NOUN
cana-2013	255	28	the	the	DET
cana-2013	255	29	issue	issue	NOUN
cana-2013	255	30	lies	lie	VERB
cana-2013	255	31	with	with	ADP
cana-2013	255	32	0	0	NUM
cana-2013	255	33	.	.	PUNCT
cana-2013	256	1	𝝁	𝝁	NOUN
cana-2013	257	1	=	=	SYM
cana-2013	257	2	𝝁𝑵−𝟏	𝝁𝑵−𝟏	PUNCT
cana-2013	257	3	=	=	PUNCT
cana-2013	257	4	𝒊𝒏𝒇	𝒊𝒏𝒇	VERB
cana-2013	257	5	𝒙	𝒙	PROPN
cana-2013	257	6	≠	≠	PROPN
cana-2013	257	7	𝟎	𝟎	NUM
cana-2013	257	8	,	,	PUNCT
cana-2013	257	9	𝒖𝑻𝒙	𝒖𝑻𝒙	ADJ
cana-2013	257	10	=	=	SYM
cana-2013	257	11	𝟎	𝟎	NUM
cana-2013	257	12	𝒙𝑻𝑸𝒙	𝒙𝑻𝑸𝒙	NOUN
cana-2013	257	13	𝒙𝑻𝒙	𝒙𝑻𝒙	PRON
cana-2013	257	14	;	;	PUNCT
cana-2013	257	15	(	(	PUNCT
cana-2013	257	16	𝟏𝟔	𝟏𝟔	X
cana-2013	257	17	)	)	PUNCT
cana-2013	257	18	the	the	DET
cana-2013	257	19	lattice	lattice	NOUN
cana-2013	257	20	q	q	PROPN
cana-2013	257	21	in	in	ADP
cana-2013	257	22	our	our	PRON
cana-2013	257	23	case	case	NOUN
cana-2013	257	24	is	be	AUX
cana-2013	257	25	the	the	DET
cana-2013	257	26	sum	sum	NOUN
cana-2013	257	27	of	of	ADP
cana-2013	257	28	a	a	DET
cana-2013	257	29	grid	grid	NOUN
cana-2013	257	30	qa	qa	NOUN
cana-2013	257	31	that	that	PRON
cana-2013	257	32	connects	connect	VERB
cana-2013	257	33	only	only	ADV
cana-2013	257	34	hubs	hub	NOUN
cana-2013	257	35	within	within	ADP
cana-2013	257	36	a	a	DET
cana-2013	257	37	similar	similar	ADJ
cana-2013	257	38	net	net	NOUN
cana-2013	257	39	and	and	CCONJ
cana-2013	257	40	a	a	DET
cana-2013	257	41	"	"	PUNCT
cana-2013	257	42	bother	bother	NOUN
cana-2013	257	43	"	"	PUNCT
cana-2013	257	44	αqb	αqb	NOUN
cana-2013	257	45	that	that	PRON
cana-2013	257	46	relates	relate	VERB
cana-2013	257	47	only	only	ADV
cana-2013	257	48	hubs	hub	NOUN
cana-2013	257	49	within	within	ADP
cana-2013	257	50	different	different	ADJ
cana-2013	257	51	networks	network	NOUN
cana-2013	257	52	(	(	PUNCT
cana-2013	257	53	qa	qa	PROPN
cana-2013	257	54	+	+	CCONJ
cana-2013	257	55	αqb	αqb	PROPN
cana-2013	257	56	)	)	PUNCT
cana-2013	257	57	.	.	PUNCT
cana-2013	258	1	therefore	therefore	ADV
cana-2013	258	2	,	,	PUNCT
cana-2013	258	3	we	we	PRON
cana-2013	258	4	must	must	AUX
cana-2013	258	5	locate	locate	VERB
cana-2013	258	6	the	the	DET
cana-2013	258	7	base	base	NOUN
cana-2013	258	8	that	that	PRON
cana-2013	258	9	satisfies	satisfy	VERB
cana-2013	258	10	the	the	DET
cana-2013	258	11	otherworldly	otherworldly	ADJ
cana-2013	258	12	requirements	requirement	NOUN
cana-2013	258	13	:	:	PUNCT
cana-2013	258	14	{	{	PUNCT
cana-2013	258	15	(	(	PUNCT
cana-2013	258	16	𝑸𝑨	𝑸𝑨	PROPN
cana-2013	258	17	+	+	PROPN
cana-2013	258	18	∝	∝	PROPN
cana-2013	258	19	𝑸𝑩	𝑸𝑩	PROPN
cana-2013	258	20	−	−	PROPN
cana-2013	258	21	𝝁𝑰)𝒙	𝝁𝑰)𝒙	PROPN
cana-2013	258	22	=	=	SYM
cana-2013	258	23	𝟎	𝟎	PROPN
cana-2013	258	24	,	,	PUNCT
cana-2013	258	25	𝒙𝑻𝒙	𝒙𝑻𝒙	PRON
cana-2013	258	26	=	=	NOUN
cana-2013	258	27	𝟏	𝟏	NUM
cana-2013	258	28	,	,	PUNCT
cana-2013	258	29	𝒖𝑻𝒙	𝒖𝑻𝒙	X
cana-2013	258	30	=	=	SYM
cana-2013	258	31	𝟎.	𝟎.	X
cana-2013	258	32	(	(	PUNCT
cana-2013	258	33	𝟏𝟕	𝟏𝟕	NUM
cana-2013	258	34	)	)	PUNCT
cana-2013	258	35	by	by	ADP
cana-2013	258	36	using	use	VERB
cana-2013	258	37	taylor	taylor	PROPN
cana-2013	258	38	expansion	expansion	NOUN
cana-2013	258	39	,	,	PUNCT
cana-2013	258	40	µ	µ	NOUN
cana-2013	258	41	and	and	CCONJ
cana-2013	258	42	x	x	PRON
cana-2013	258	43	can	can	AUX
cana-2013	258	44	be	be	AUX
cana-2013	258	45	expressed	express	VERB
cana-2013	258	46	as	as	SCONJ
cana-2013	258	47	follows	follow	VERB
cana-2013	258	48	when	when	SCONJ
cana-2013	258	49	the	the	DET
cana-2013	258	50	solution	solution	NOUN
cana-2013	258	51	is	be	AUX
cana-2013	258	52	analytical	analytical	ADJ
cana-2013	258	53	in	in	ADP
cana-2013	258	54	α	α	NOUN
cana-2013	258	55	:	:	PUNCT
cana-2013	258	56	𝝁	𝝁	PROPN
cana-2013	259	1	=	=	X
cana-2013	259	2	∑𝝁(𝒌	∑𝝁(𝒌	PROPN
cana-2013	259	3	)	)	PUNCT
cana-2013	259	4	∝𝒌	∝𝒌	NUM
cana-2013	260	1	∞	∞	NUM
cana-2013	260	2	𝒌=𝟎	𝒌=𝟎	ADV
cana-2013	260	3	(	(	PUNCT
cana-2013	260	4	𝟏𝟖	𝟏𝟖	X
cana-2013	260	5	)	)	PUNCT
cana-2013	260	6	𝒙	𝒙	NOUN
cana-2013	260	7	=	=	X
cana-2013	260	8	∑𝒙(𝒌	∑𝒙(𝒌	NOUN
cana-2013	260	9	)	)	PUNCT
cana-2013	260	10	∝𝒌	∝𝒌	NUM
cana-2013	261	1	∞	∞	NUM
cana-2013	261	2	𝒌=𝟎	𝒌=𝟎	ADV
cana-2013	261	3	(	(	PUNCT
cana-2013	261	4	𝟏𝟗	𝟏𝟗	NUM
cana-2013	261	5	)	)	PUNCT
cana-2013	261	6	a	a	DET
cana-2013	261	7	ranking	ranking	NOUN
cana-2013	261	8	of	of	ADP
cana-2013	261	9	conditions	condition	NOUN
cana-2013	261	10	is	be	AUX
cana-2013	261	11	obtained	obtain	VERB
cana-2013	261	12	by	by	ADP
cana-2013	261	13	substituting	substitute	VERB
cana-2013	261	14	the	the	DET
cana-2013	261	15	development	development	NOUN
cana-2013	261	16	in	in	ADP
cana-2013	261	17	the	the	DET
cana-2013	261	18	eigenvalue	eigenvalue	NOUN
cana-2013	261	19	condition	condition	NOUN
cana-2013	261	20	.	.	PUNCT
cana-2013	262	1	taking	take	VERB
cana-2013	262	2	on	on	ADP
cana-2013	262	3	the	the	DET
cana-2013	262	4	final	final	ADJ
cana-2013	262	5	choice	choice	NOUN
cana-2013	262	6	up	up	ADV
cana-2013	262	7	until	until	ADP
cana-2013	262	8	the	the	DET
cana-2013	262	9	next	next	ADJ
cana-2013	262	10	request	request	NOUN
cana-2013	262	11	results	result	NOUN
cana-2013	262	12	in	in	ADP
cana-2013	262	13	the	the	DET
cana-2013	262	14	accompanying	accompanying	ADJ
cana-2013	262	15	approximations	approximation	NOUN
cana-2013	262	16	,	,	PUNCT
cana-2013	262	17	𝝁(𝟏	𝝁(𝟏	PROPN
cana-2013	262	18	)	)	PUNCT
cana-2013	262	19	=	=	PUNCT
cana-2013	262	20	(	(	PUNCT
cana-2013	262	21	𝒙(𝟎	𝒙(𝟎	NOUN
cana-2013	262	22	)	)	PUNCT
cana-2013	262	23	)	)	PUNCT
cana-2013	263	1	𝑻	𝑻	NOUN
cana-2013	263	2	𝑸𝑩𝒙	𝑸𝑩𝒙	NOUN
cana-2013	263	3	(	(	PUNCT
cana-2013	263	4	𝟎	𝟎	NOUN
cana-2013	263	5	)	)	PUNCT
cana-2013	263	6	(	(	PUNCT
cana-2013	263	7	𝟐𝟎	𝟐𝟎	NUM
cana-2013	263	8	)	)	PUNCT
cana-2013	263	9	𝝁(𝟐	𝝁(𝟐	NOUN
cana-2013	263	10	)	)	PUNCT
cana-2013	263	11	=	=	PRON
cana-2013	263	12	(	(	PUNCT
cana-2013	263	13	𝒙(𝟎	𝒙(𝟎	NOUN
cana-2013	263	14	)	)	PUNCT
cana-2013	263	15	)	)	PUNCT
cana-2013	263	16	𝑻	𝑻	PROPN
cana-2013	263	17	𝑸𝑩(𝒙	𝑸𝑩(𝒙	NOUN
cana-2013	263	18	(	(	PUNCT
cana-2013	263	19	𝟏	𝟏	NUM
cana-2013	263	20	)	)	PUNCT
cana-2013	263	21	)	)	PUNCT
cana-2013	263	22	=	=	PUNCT
cana-2013	263	23	−(𝒙(𝟏	−(𝒙(𝟏	NUM
cana-2013	263	24	)	)	PUNCT
cana-2013	263	25	)	)	PUNCT
cana-2013	263	26	𝑻	𝑻	NOUN
cana-2013	263	27	𝑸𝑨(𝒙	𝑸𝑨(𝒙	NOUN
cana-2013	263	28	(	(	PUNCT
cana-2013	263	29	𝟏	𝟏	NUM
cana-2013	263	30	)	)	PUNCT
cana-2013	263	31	)	)	PUNCT
cana-2013	263	32	≤	≤	NOUN
cana-2013	263	33	𝟎.	𝟎.	PUNCT
cana-2013	263	34	(	(	PUNCT
cana-2013	263	35	𝟐𝟏	𝟐𝟏	NUM
cana-2013	263	36	)	)	PUNCT
cana-2013	263	37	appendix	appendix	VERB
cana-2013	263	38	a	a	DET
cana-2013	263	39	outlines	outline	NOUN
cana-2013	263	40	the	the	DET
cana-2013	263	41	steps	step	NOUN
cana-2013	263	42	taken	take	VERB
cana-2013	263	43	to	to	PART
cana-2013	263	44	arrive	arrive	VERB
cana-2013	263	45	at	at	ADP
cana-2013	263	46	the	the	DET
cana-2013	263	47	solution	solution	NOUN
cana-2013	263	48	.	.	PUNCT
cana-2013	264	1	anticipatingly	anticipatingly	ADV
cana-2013	264	2	,	,	PUNCT
cana-2013	264	3	the	the	DET
cana-2013	264	4	first	first	ADJ
cana-2013	264	5	order	order	NOUN
cana-2013	264	6	µ	µ	X
cana-2013	264	7	(	(	PUNCT
cana-2013	264	8	1	1	NUM
cana-2013	264	9	)	)	PUNCT
cana-2013	264	10	relies	rely	VERB
cana-2013	264	11	solely	solely	ADV
cana-2013	264	12	on	on	ADP
cana-2013	264	13	the	the	DET
cana-2013	264	14	zero	zero	NUM
cana-2013	264	15	-	-	PUNCT
cana-2013	264	16	order	order	NOUN
cana-2013	264	17	eigenvector	eigenvector	NOUN
cana-2013	264	18	x	x	SYM
cana-2013	264	19	(	(	PUNCT
cana-2013	264	20	0	0	NUM
cana-2013	264	21	)	)	PUNCT
cana-2013	264	22	;	;	PUNCT
cana-2013	264	23	conversely	conversely	ADV
cana-2013	264	24	,	,	PUNCT
cana-2013	264	25	the	the	DET
cana-2013	264	26	second	second	ADJ
cana-2013	264	27	order	order	NOUN
cana-2013	264	28	µ	µ	X
cana-2013	264	29	(	(	PUNCT
cana-2013	264	30	2	2	NUM
cana-2013	264	31	)	)	PUNCT
cana-2013	264	32	is	be	AUX
cana-2013	264	33	negative	negative	ADJ
cana-2013	264	34	,	,	PUNCT
cana-2013	264	35	so	so	ADV
cana-2013	264	36	augmenting	augment	VERB
cana-2013	264	37	the	the	DET
cana-2013	264	38	algebraic	algebraic	ADJ
cana-2013	264	39	connectivity	connectivity	NOUN
cana-2013	264	40	estimate	estimate	NOUN
cana-2013	264	41	.	.	PUNCT
cana-2013	265	1	fig	fig	NOUN
cana-2013	265	2	.	.	PUNCT
cana-2013	266	1	2	2	NUM
cana-2013	266	2	shows	show	VERB
cana-2013	266	3	the	the	DET
cana-2013	266	4	previous	previous	ADJ
cana-2013	266	5	perturbation	perturbation	NOUN
cana-2013	266	6	estimates	estimate	NOUN
cana-2013	266	7	along	along	ADP
cana-2013	266	8	with	with	ADP
cana-2013	266	9	a	a	DET
cana-2013	266	10	numerical	numerical	ADJ
cana-2013	266	11	simulation	simulation	NOUN
cana-2013	266	12	.	.	PUNCT
cana-2013	267	1	communications	communication	NOUN
cana-2013	267	2	on	on	ADP
cana-2013	267	3	applied	apply	VERB
cana-2013	267	4	nonlinear	nonlinear	ADJ
cana-2013	267	5	analysis	analysis	NOUN
cana-2013	267	6	issn	issn	NOUN
cana-2013	267	7	:	:	PUNCT
cana-2013	267	8	1074	1074	NUM
cana-2013	267	9	-	-	PUNCT
cana-2013	267	10	133x	133x	NUM
cana-2013	267	11	vol	vol	NOUN
cana-2013	267	12	32	32	NUM
cana-2013	267	13	no	no	NOUN
cana-2013	267	14	.	.	NOUN
cana-2013	267	15	3	3	NUM
cana-2013	267	16	(	(	PUNCT
cana-2013	267	17	2025	2025	NUM
cana-2013	267	18	)	)	PUNCT
cana-2013	267	19	537	537	NUM
cana-2013	267	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	267	21	(	(	PUNCT
cana-2013	267	22	a	a	NOUN
cana-2013	267	23	)	)	PUNCT
cana-2013	267	24	diagonal	diagonal	ADJ
cana-2013	267	25	strategy	strategy	NOUN
cana-2013	267	26	(	(	PUNCT
cana-2013	267	27	b	b	NOUN
cana-2013	267	28	)	)	PUNCT
cana-2013	267	29	random	random	ADJ
cana-2013	267	30	strategy	strategy	NOUN
cana-2013	267	31	figure	figure	NOUN
cana-2013	267	32	2	2	NUM
cana-2013	267	33	:	:	PUNCT
cana-2013	267	34	algebraic	algebraic	ADJ
cana-2013	267	35	connectedness	connectedness	NOUN
cana-2013	267	36	µn−1	µn−1	ADP
cana-2013	267	37	of	of	ADP
cana-2013	267	38	four	four	NUM
cana-2013	267	39	graph	graph	NOUN
cana-2013	267	40	models	model	NOUN
cana-2013	267	41	with	with	ADP
cana-2013	267	42	n	n	NOUN
cana-2013	267	43	=	=	SYM
cana-2013	267	44	1000	1000	NUM
cana-2013	267	45	nodes	node	NOUN
cana-2013	267	46	,	,	PUNCT
cana-2013	267	47	as	as	SCONJ
cana-2013	267	48	approximated	approximate	VERB
cana-2013	267	49	by	by	ADP
cana-2013	267	50	dashed	dash	VERB
cana-2013	267	51	lines	line	NOUN
cana-2013	267	52	and	and	CCONJ
cana-2013	267	53	simulated	simulate	VERB
cana-2013	267	54	over	over	ADP
cana-2013	267	55	several	several	ADJ
cana-2013	267	56	networks	network	NOUN
cana-2013	267	57	(	(	PUNCT
cana-2013	267	58	solid	solid	ADJ
cana-2013	267	59	lines	line	NOUN
cana-2013	267	60	)	)	PUNCT
cana-2013	267	61	.	.	PUNCT
cana-2013	268	1	vii.conclusion	vii.conclusion	NOUN
cana-2013	268	2	this	this	DET
cana-2013	268	3	paper	paper	NOUN
cana-2013	268	4	provides	provide	VERB
cana-2013	268	5	an	an	DET
cana-2013	268	6	overview	overview	NOUN
cana-2013	268	7	of	of	ADP
cana-2013	268	8	the	the	DET
cana-2013	268	9	algebraic	algebraic	ADJ
cana-2013	268	10	hypothesis	hypothesis	NOUN
cana-2013	268	11	study	study	NOUN
cana-2013	268	12	in	in	ADP
cana-2013	268	13	the	the	DET
cana-2013	268	14	graph	graph	NOUN
cana-2013	268	15	hypothesis	hypothesis	NOUN
cana-2013	268	16	through	through	ADP
cana-2013	268	17	the	the	DET
cana-2013	268	18	definitions	definition	NOUN
cana-2013	268	19	and	and	CCONJ
cana-2013	268	20	applications	application	NOUN
cana-2013	268	21	of	of	ADP
cana-2013	268	22	the	the	DET
cana-2013	268	23	first	first	ADJ
cana-2013	268	24	three	three	NUM
cana-2013	268	25	components	component	NOUN
cana-2013	268	26	of	of	ADP
cana-2013	268	27	the	the	DET
cana-2013	268	28	algebraic	algebraic	ADJ
cana-2013	268	29	hypothesis	hypothesis	NOUN
cana-2013	268	30	.	.	PUNCT
cana-2013	269	1	similarly	similarly	ADV
cana-2013	269	2	,	,	PUNCT
cana-2013	269	3	a	a	DET
cana-2013	269	4	few	few	ADJ
cana-2013	269	5	exploratory	exploratory	ADJ
cana-2013	269	6	articles	article	NOUN
cana-2013	269	7	were	be	AUX
cana-2013	269	8	considered	consider	VERB
cana-2013	269	9	to	to	PART
cana-2013	269	10	conduct	conduct	VERB
cana-2013	269	11	further	further	ADJ
cana-2013	269	12	analysis	analysis	NOUN
cana-2013	269	13	in	in	ADP
cana-2013	269	14	the	the	DET
cana-2013	269	15	subject	subject	NOUN
cana-2013	269	16	of	of	ADP
cana-2013	269	17	algebraic	algebraic	ADJ
cana-2013	269	18	graph	graph	NOUN
cana-2013	269	19	theory	theory	NOUN
cana-2013	269	20	in	in	ADP
cana-2013	269	21	light	light	NOUN
cana-2013	269	22	of	of	ADP
cana-2013	269	23	algebraic	algebraic	ADJ
cana-2013	269	24	hypotheses	hypothesis	NOUN
cana-2013	269	25	.	.	PUNCT
cana-2013	270	1	the	the	DET
cana-2013	270	2	study	study	NOUN
cana-2013	270	3	that	that	PRON
cana-2013	270	4	was	be	AUX
cana-2013	270	5	presented	present	VERB
cana-2013	270	6	looks	look	NOUN
cana-2013	270	7	at	at	ADP
cana-2013	270	8	components	component	NOUN
cana-2013	270	9	of	of	ADP
cana-2013	270	10	linked	link	VERB
cana-2013	270	11	networks	network	NOUN
cana-2013	270	12	that	that	PRON
cana-2013	270	13	are	be	AUX
cana-2013	270	14	driven	drive	VERB
cana-2013	270	15	by	by	ADP
cana-2013	270	16	dissemination	dissemination	NOUN
cana-2013	270	17	,	,	PUNCT
cana-2013	270	18	focusing	focus	VERB
cana-2013	270	19	in	in	ADP
cana-2013	270	20	particular	particular	ADJ
cana-2013	270	21	on	on	ADP
cana-2013	270	22	synchronisation	synchronisation	NOUN
cana-2013	270	23	applications	application	NOUN
cana-2013	270	24	and	and	CCONJ
cana-2013	270	25	the	the	DET
cana-2013	270	26	algebraic	algebraic	ADJ
cana-2013	270	27	connectedness	connectedness	NOUN
cana-2013	270	28	of	of	ADP
cana-2013	270	29	these	these	DET
cana-2013	270	30	networks	network	NOUN
cana-2013	270	31	.	.	PUNCT
cana-2013	271	1	reviewing	review	VERB
cana-2013	271	2	the	the	DET
cana-2013	271	3	algebraic	algebraic	ADJ
cana-2013	271	4	connection	connection	NOUN
cana-2013	271	5	reveals	reveal	VERB
cana-2013	271	6	a	a	DET
cana-2013	271	7	stage	stage	NOUN
cana-2013	271	8	change	change	NOUN
cana-2013	271	9	phenomenon	phenomenon	NOUN
cana-2013	271	10	that	that	PRON
cana-2013	271	11	occurs	occur	VERB
cana-2013	271	12	when	when	SCONJ
cana-2013	271	13	the	the	DET
cana-2013	271	14	number	number	NOUN
cana-2013	271	15	of	of	ADP
cana-2013	271	16	interlinks	interlink	NOUN
cana-2013	271	17	between	between	ADP
cana-2013	271	18	initially	initially	ADV
cana-2013	271	19	isolated	isolate	VERB
cana-2013	271	20	networks	network	NOUN
cana-2013	271	21	increases	increase	NOUN
cana-2013	271	22	.	.	PUNCT
cana-2013	272	1	based	base	VERB
cana-2013	272	2	on	on	ADP
cana-2013	272	3	the	the	DET
cana-2013	272	4	network	network	NOUN
cana-2013	272	5	topology	topology	NOUN
cana-2013	272	6	,	,	PUNCT
cana-2013	272	7	this	this	DET
cana-2013	272	8	transition	transition	NOUN
cana-2013	272	9	point	point	NOUN
cana-2013	272	10	is	be	AUX
cana-2013	272	11	determined	determine	VERB
cana-2013	272	12	to	to	PART
cana-2013	272	13	follow	follow	VERB
cana-2013	272	14	a	a	DET
cana-2013	272	15	straight	straight	ADJ
cana-2013	272	16	line	line	NOUN
cana-2013	272	17	with	with	ADP
cana-2013	272	18	the	the	DET
cana-2013	272	19	algebraic	algebraic	ADJ
cana-2013	272	20	connectedness	connectedness	NOUN
cana-2013	272	21	of	of	ADP
cana-2013	272	22	the	the	DET
cana-2013	272	23	separate	separate	ADJ
cana-2013	272	24	networks	network	NOUN
cana-2013	272	25	,	,	PUNCT
cana-2013	272	26	which	which	PRON
cana-2013	272	27	increases	increase	VERB
cana-2013	272	28	with	with	ADP
cana-2013	272	29	assortativity	assortativity	NOUN
cana-2013	272	30	.	.	PUNCT
cana-2013	273	1	science	science	PROPN
cana-2013	273	2	establishes	establish	VERB
cana-2013	273	3	the	the	DET
cana-2013	273	4	fundamental	fundamental	ADJ
cana-2013	273	5	advancement	advancement	NOUN
cana-2013	273	6	boundaries	boundary	NOUN
cana-2013	273	7	for	for	ADP
cana-2013	273	8	different	different	ADJ
cana-2013	273	9	interlinking	interlinking	NOUN
cana-2013	273	10	systems	system	NOUN
cana-2013	273	11	by	by	ADP
cana-2013	273	12	means	mean	NOUN
cana-2013	273	13	of	of	ADP
cana-2013	273	14	mean	mean	ADJ
cana-2013	273	15	field	field	NOUN
cana-2013	273	16	approximations	approximation	NOUN
cana-2013	273	17	and	and	CCONJ
cana-2013	273	18	leading	lead	VERB
cana-2013	273	19	reenactments	reenactment	NOUN
cana-2013	273	20	.	.	PUNCT
cana-2013	274	1	furthermore	furthermore	ADV
cana-2013	274	2	,	,	PUNCT
cana-2013	274	3	the	the	DET
cana-2013	274	4	review	review	NOUN
cana-2013	274	5	suggests	suggest	VERB
cana-2013	274	6	that	that	SCONJ
cana-2013	274	7	the	the	DET
cana-2013	274	8	homogeneity	homogeneity	NOUN
cana-2013	274	9	of	of	ADP
cana-2013	274	10	the	the	DET
cana-2013	274	11	networks	network	NOUN
cana-2013	274	12	'	'	PART
cana-2013	274	13	spectra	spectra	NOUN
cana-2013	274	14	can	can	AUX
cana-2013	274	15	be	be	AUX
cana-2013	274	16	examined	examine	VERB
cana-2013	274	17	to	to	PART
cana-2013	274	18	predict	predict	VERB
cana-2013	274	19	the	the	DET
cana-2013	274	20	advancement	advancement	NOUN
cana-2013	274	21	.	.	PUNCT
cana-2013	275	1	the	the	DET
cana-2013	275	2	investigation	investigation	NOUN
cana-2013	275	3	is	be	AUX
cana-2013	275	4	continuing	continue	VERB
cana-2013	275	5	,	,	PUNCT
cana-2013	275	6	looking	look	VERB
cana-2013	275	7	into	into	ADP
cana-2013	275	8	heterogeneous	heterogeneous	ADJ
cana-2013	275	9	dependent	dependent	ADJ
cana-2013	275	10	networks	network	NOUN
cana-2013	275	11	and	and	CCONJ
cana-2013	275	12	considering	consider	VERB
cana-2013	275	13	extensions	extension	NOUN
cana-2013	275	14	,	,	PUNCT
cana-2013	275	15	such	such	ADJ
cana-2013	275	16	as	as	ADP
cana-2013	275	17	additional	additional	ADJ
cana-2013	275	18	graph	graph	NOUN
cana-2013	275	19	models	model	NOUN
cana-2013	275	20	and	and	CCONJ
cana-2013	275	21	interlinking	interlink	VERB
cana-2013	275	22	techniques	technique	NOUN
cana-2013	275	23	.	.	PUNCT
cana-2013	276	1	references	reference	NOUN
cana-2013	276	2	[	[	X
cana-2013	276	3	1	1	NUM
cana-2013	276	4	]	]	PUNCT
cana-2013	276	5	angela	angela	PROPN
cana-2013	276	6	mestre	mestre	PROPN
cana-2013	276	7	,	,	PUNCT
cana-2013	276	8	2013	2013	NUM
cana-2013	276	9	,	,	PUNCT
cana-2013	276	10	“	"	PUNCT
cana-2013	276	11	an	an	DET
cana-2013	276	12	algebraic	algebraic	ADJ
cana-2013	276	13	representation	representation	NOUN
cana-2013	276	14	of	of	ADP
cana-2013	276	15	graphs	graph	NOUN
cana-2013	276	16	and	and	CCONJ
cana-2013	276	17	applications	application	NOUN
cana-2013	276	18	to	to	PART
cana-2013	276	19	graph	graph	VERB
cana-2013	276	20	enumeration	enumeration	NOUN
cana-2013	276	21	”	"	PUNCT
cana-2013	276	22	,	,	PUNCT
cana-2013	276	23	hindawi	hindawi	ADJ
cana-2013	276	24	publishing	publishing	NOUN
cana-2013	276	25	corporation	corporation	NOUN
cana-2013	276	26	,	,	PUNCT
cana-2013	276	27	international	international	ADJ
cana-2013	276	28	journal	journal	NOUN
cana-2013	276	29	of	of	ADP
cana-2013	276	30	combinatorics	combinatorics	PROPN
cana-2013	276	31	,	,	PUNCT
cana-2013	276	32	volume	volume	NOUN
cana-2013	276	33	2013	2013	NUM
cana-2013	276	34	,	,	PUNCT
cana-2013	276	35	article	article	NOUN
cana-2013	276	36	i	i	PROPN
cana-2013	276	37	d	d	PROPN
cana-2013	276	38	347613	347613	NUM
cana-2013	276	39	.	.	PUNCT
cana-2013	277	1	[	[	X
cana-2013	277	2	2	2	NUM
cana-2013	277	3	]	]	X
cana-2013	277	4	cheng	cheng	PROPN
cana-2013	277	5	ye	ye	PROPN
cana-2013	277	6	,	,	PUNCT
cana-2013	277	7	cesar	cesar	PROPN
cana-2013	277	8	h.comin	h.comin	PROPN
cana-2013	277	9	,	,	PUNCT
cana-2013	277	10	thomas	thomas	PROPN
cana-2013	277	11	k.dm.peron	k.dm.peron	PROPN
cana-2013	277	12	,	,	PUNCT
cana-2013	277	13	filipi	filipi	PROPN
cana-2013	277	14	n.	n.	PROPN
cana-2013	277	15	silva	silva	PROPN
cana-2013	277	16	,	,	PUNCT
cana-2013	277	17	francisco	francisco	PROPN
cana-2013	277	18	a.	a.	PROPN
cana-2013	277	19	rodrigues	rodrigues	PROPN
cana-2013	277	20	,	,	PUNCT
cana-2013	277	21	luciano	luciano	PROPN
cana-2013	277	22	da	da	PROPN
cana-2013	277	23	f.costa	f.costa	PROPN
cana-2013	277	24	,	,	PUNCT
cana-2013	277	25	andrea	andrea	PROPN
cana-2013	277	26	torsello	torsello	PROPN
cana-2013	277	27	,	,	PUNCT
cana-2013	277	28	edwin	edwin	PROPN
cana-2013	277	29	r.hancock	r.hancock	PROPN
cana-2013	277	30	,	,	PUNCT
cana-2013	277	31	(	(	PUNCT
cana-2013	277	32	2015	2015	NUM
cana-2013	277	33	)	)	PUNCT
cana-2013	277	34	“	"	PUNCT
cana-2013	277	35	thermodynamic	thermodynamic	ADJ
cana-2013	277	36	characterization	characterization	NOUN
cana-2013	277	37	of	of	ADP
cana-2013	277	38	networks	network	NOUN
cana-2013	277	39	using	use	VERB
cana-2013	277	40	graph	graph	NOUN
cana-2013	277	41	polynomials	polynomial	NOUN
cana-2013	277	42	”	"	PUNCT
cana-2013	277	43	,	,	PUNCT
cana-2013	277	44	physical	physical	ADJ
cana-2013	277	45	review	review	NOUN
cana-2013	277	46	92	92	NUM
cana-2013	277	47	,	,	PUNCT
cana-2013	277	48	032810	032810	NUM
cana-2013	277	49	.	.	PUNCT
cana-2013	278	1	[	[	X
cana-2013	278	2	3	3	X
cana-2013	278	3	]	]	X
cana-2013	278	4	d.	d.	PROPN
cana-2013	278	5	zhou	zhou	PROPN
cana-2013	278	6	,	,	PUNCT
cana-2013	278	7	e.	e.	PROPN
cana-2013	278	8	stanley	stanley	PROPN
cana-2013	278	9	,	,	PUNCT
cana-2013	278	10	g.	g.	PROPN
cana-2013	278	11	dagostino	dagostino	PROPN
cana-2013	278	12	,	,	PUNCT
cana-2013	278	13	a.	a.	PROPN
cana-2013	278	14	scala	scala	PROPN
cana-2013	278	15	,	,	PUNCT
cana-2013	278	16	assortativity	assortativity	NOUN
cana-2013	278	17	decreases	decrease	VERB
cana-2013	278	18	the	the	DET
cana-2013	278	19	robustness	robustness	NOUN
cana-2013	278	20	of	of	ADP
cana-2013	278	21	interdependent	interdependent	ADJ
cana-2013	278	22	networks	network	NOUN
cana-2013	278	23	,	,	PUNCT
cana-2013	278	24	physical	physical	ADJ
cana-2013	278	25	review	review	NOUN
cana-2013	278	26	e	e	X
cana-2013	278	27	86	86	NUM
cana-2013	278	28	(	(	PUNCT
cana-2013	278	29	6	6	NUM
cana-2013	278	30	)	)	PUNCT
cana-2013	278	31	(	(	PUNCT
cana-2013	278	32	2012	2012	NUM
cana-2013	278	33	)	)	PUNCT
cana-2013	278	34	066103	066103	NUM
cana-2013	278	35	.	.	PUNCT
cana-2013	279	1	[	[	X
cana-2013	279	2	4	4	X
cana-2013	279	3	]	]	X
cana-2013	279	4	g.	g.	NOUN
cana-2013	279	5	d’agostino	d’agostino	PROPN
cana-2013	279	6	,	,	PUNCT
cana-2013	279	7	a.	a.	PROPN
cana-2013	279	8	scala	scala	PROPN
cana-2013	279	9	,	,	PUNCT
cana-2013	279	10	v.	v.	ADP
cana-2013	279	11	zlati´c	zlati´c	PROPN
cana-2013	279	12	,	,	PUNCT
cana-2013	279	13	g.	g.	PROPN
cana-2013	279	14	caldarelli	caldarelli	PROPN
cana-2013	279	15	,	,	PUNCT
cana-2013	279	16	robustness	robustness	NOUN
cana-2013	279	17	and	and	CCONJ
cana-2013	279	18	assortativity	assortativity	NOUN
cana-2013	279	19	for	for	ADP
cana-2013	279	20	diffusion	diffusion	NOUN
cana-2013	279	21	-	-	PUNCT
cana-2013	279	22	like	like	ADJ
cana-2013	279	23	processes	process	NOUN
cana-2013	279	24	in	in	ADP
cana-2013	279	25	scalefree	scalefree	ADJ
cana-2013	279	26	networks	network	NOUN
cana-2013	279	27	,	,	PUNCT
cana-2013	279	28	europhysics	europhysics	PROPN
cana-2013	279	29	letters	letter	NOUN
cana-2013	279	30	97	97	NUM
cana-2013	279	31	(	(	PUNCT
cana-2013	279	32	6	6	NUM
cana-2013	279	33	)	)	PUNCT
cana-2013	279	34	(	(	PUNCT
cana-2013	279	35	2012	2012	NUM
cana-2013	279	36	)	)	PUNCT
cana-2013	279	37	68006	68006	NUM
cana-2013	279	38	.	.	PUNCT
cana-2013	280	1	[	[	X
cana-2013	280	2	5	5	X
cana-2013	280	3	]	]	PUNCT
cana-2013	280	4	h.	h.	PROPN
cana-2013	280	5	wang	wang	PROPN
cana-2013	280	6	,	,	PUNCT
cana-2013	280	7	q.	q.	PROPN
cana-2013	280	8	li	li	PROPN
cana-2013	280	9	,	,	PUNCT
cana-2013	280	10	g.	g.	PROPN
cana-2013	280	11	d’agostino	d’agostino	PROPN
cana-2013	280	12	,	,	PUNCT
cana-2013	280	13	s.	s.	PROPN
cana-2013	280	14	havlin	havlin	PROPN
cana-2013	280	15	,	,	PUNCT
cana-2013	280	16	h.	h.	PROPN
cana-2013	280	17	e.	e.	PROPN
cana-2013	280	18	stanley	stanley	PROPN
cana-2013	280	19	,	,	PUNCT
cana-2013	280	20	p.	p.	PROPN
cana-2013	280	21	van	van	PROPN
cana-2013	280	22	mieghem	mieghem	PROPN
cana-2013	280	23	,	,	PUNCT
cana-2013	280	24	effect	effect	NOUN
cana-2013	280	25	of	of	ADP
cana-2013	280	26	the	the	DET
cana-2013	280	27	interconnected	interconnected	ADJ
cana-2013	280	28	network	network	NOUN
cana-2013	280	29	structure	structure	NOUN
cana-2013	280	30	on	on	ADP
cana-2013	280	31	the	the	DET
cana-2013	280	32	epidemic	epidemic	NOUN
cana-2013	280	33	threshold	threshold	NOUN
cana-2013	280	34	,	,	PUNCT
cana-2013	280	35	phys	phy	NOUN
cana-2013	280	36	.	.	PUNCT
cana-2013	280	37	rev	rev	PROPN
cana-2013	280	38	.	.	PUNCT
cana-2013	281	1	e	e	PROPN
cana-2013	281	2	88	88	NUM
cana-2013	281	3	(	(	PUNCT
cana-2013	281	4	2013	2013	NUM
cana-2013	281	5	)	)	PUNCT
cana-2013	281	6	022801	022801	NUM
cana-2013	281	7	.	.	PUNCT
cana-2013	282	1	[	[	X
cana-2013	282	2	6	6	NUM
cana-2013	282	3	]	]	PUNCT
cana-2013	282	4	j.	j.	PROPN
cana-2013	282	5	chen	chen	PROPN
cana-2013	282	6	,	,	PUNCT
cana-2013	282	7	j.	j.	PROPN
cana-2013	282	8	lu	lu	PROPN
cana-2013	282	9	,	,	PUNCT
cana-2013	282	10	c.	c.	PROPN
cana-2013	282	11	zhan	zhan	PROPN
cana-2013	282	12	,	,	PUNCT
cana-2013	282	13	g.	g.	PROPN
cana-2013	282	14	chen	chen	PROPN
cana-2013	282	15	,	,	PUNCT
cana-2013	282	16	laplacian	laplacian	ADJ
cana-2013	282	17	spectra	spectra	NOUN
cana-2013	282	18	and	and	CCONJ
cana-2013	282	19	synchronization	synchronization	NOUN
cana-2013	282	20	processes	process	NOUN
cana-2013	282	21	on	on	ADP
cana-2013	282	22	complex	complex	ADJ
cana-2013	282	23	networks	network	NOUN
cana-2013	282	24	,	,	PUNCT
cana-2013	282	25	springer	springer	NOUN
cana-2013	282	26	optimization	optimization	NOUN
cana-2013	282	27	and	and	CCONJ
cana-2013	282	28	its	its	PRON
cana-2013	282	29	applications	application	NOUN
cana-2013	282	30	,	,	PUNCT
cana-2013	282	31	2012	2012	NUM
cana-2013	282	32	,	,	PUNCT
cana-2013	282	33	ch	ch	NOUN
cana-2013	282	34	.	.	PROPN
cana-2013	282	35	4	4	NUM
cana-2013	282	36	,	,	PUNCT
cana-2013	282	37	pp	pp	ADJ
cana-2013	282	38	.	.	PUNCT
cana-2013	283	1	81–113	81–113	NUM
cana-2013	283	2	.	.	PUNCT
cana-2013	283	3	communications	communication	NOUN
cana-2013	283	4	on	on	ADP
cana-2013	283	5	applied	apply	VERB
cana-2013	283	6	nonlinear	nonlinear	ADJ
cana-2013	283	7	analysis	analysis	NOUN
cana-2013	283	8	issn	issn	NOUN
cana-2013	283	9	:	:	PUNCT
cana-2013	283	10	1074	1074	NUM
cana-2013	283	11	-	-	PUNCT
cana-2013	283	12	133x	133x	NUM
cana-2013	283	13	vol	vol	NOUN
cana-2013	283	14	32	32	NUM
cana-2013	283	15	no	no	NOUN
cana-2013	283	16	.	.	NOUN
cana-2013	283	17	3	3	NUM
cana-2013	283	18	(	(	PUNCT
cana-2013	283	19	2025	2025	NUM
cana-2013	283	20	)	)	PUNCT
cana-2013	284	1	538	538	NUM
cana-2013	284	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-2013	285	1	[	[	X
cana-2013	285	2	7	7	X
cana-2013	285	3	]	]	X
cana-2013	285	4	jini	jini	PROPN
cana-2013	285	5	j	j	PROPN
cana-2013	285	6	,	,	PUNCT
cana-2013	285	7	hemalatha	hemalatha	NOUN
cana-2013	285	8	s	s	PART
cana-2013	285	9	,	,	PUNCT
cana-2013	285	10	(	(	PUNCT
cana-2013	285	11	2020	2020	NUM
cana-2013	285	12	)	)	PUNCT
cana-2013	285	13	“	"	PUNCT
cana-2013	285	14	perfect	perfect	ADJ
cana-2013	285	15	matching	matching	NOUN
cana-2013	285	16	of	of	ADP
cana-2013	285	17	bridge	bridge	NOUN
cana-2013	285	18	graph	graph	NOUN
cana-2013	285	19	based	base	VERB
cana-2013	285	20	on	on	ADP
cana-2013	285	21	geometric	geometric	ADJ
cana-2013	285	22	and	and	CCONJ
cana-2013	285	23	algebraic	algebraic	ADJ
cana-2013	285	24	multiplicity	multiplicity	NOUN
cana-2013	285	25	”	"	PUNCT
cana-2013	285	26	,	,	PUNCT
cana-2013	285	27	journal	journal	NOUN
cana-2013	285	28	of	of	ADP
cana-2013	285	29	xidian	xidian	PROPN
cana-2013	285	30	university	university	PROPN
cana-2013	285	31	”	"	PUNCT
cana-2013	285	32	,	,	PUNCT
cana-2013	285	33	issn	issn	PROPN
cana-2013	285	34	no	no	PRON
cana-2013	285	35	:	:	PUNCT
cana-2013	285	36	1001	1001	NUM
cana-2013	285	37	-	-	SYM
cana-2013	285	38	2400	2400	NUM
cana-2013	285	39	,	,	PUNCT
cana-2013	285	40	volume	volume	NOUN
cana-2013	285	41	14	14	NUM
cana-2013	285	42	,	,	PUNCT
cana-2013	285	43	issue	issue	VERB
cana-2013	285	44	11	11	NUM
cana-2013	285	45	.	.	PUNCT
cana-2013	286	1	[	[	X
cana-2013	286	2	8	8	NUM
cana-2013	286	3	]	]	SYM
cana-2013	286	4	li	li	PROPN
cana-2013	286	5	,	,	PUNCT
cana-2013	286	6	yiyong	yiyong	PROPN
cana-2013	286	7	&	&	CCONJ
cana-2013	286	8	yang	yang	PROPN
cana-2013	286	9	,	,	PUNCT
cana-2013	286	10	qingzhi	qingzhi	PROPN
cana-2013	286	11	&	&	CCONJ
cana-2013	286	12	yang	yang	PROPN
cana-2013	286	13	,	,	PUNCT
cana-2013	286	14	yuning	yune	VERB
cana-2013	286	15	.	.	PUNCT
cana-2013	287	1	(	(	PUNCT
cana-2013	287	2	2015	2015	NUM
cana-2013	287	3	)	)	PUNCT
cana-2013	287	4	.	.	PUNCT
cana-2013	288	1	a	a	DET
cana-2013	288	2	new	new	ADJ
cana-2013	288	3	definition	definition	NOUN
cana-2013	288	4	of	of	ADP
cana-2013	288	5	geometric	geometric	ADJ
cana-2013	288	6	multiplicity	multiplicity	NOUN
cana-2013	288	7	of	of	ADP
cana-2013	288	8	eigenvalues	eigenvalue	NOUN
cana-2013	288	9	of	of	ADP
cana-2013	288	10	tensors	tensor	NOUN
cana-2013	288	11	and	and	CCONJ
cana-2013	288	12	some	some	DET
cana-2013	288	13	results	result	NOUN
cana-2013	288	14	based	base	VERB
cana-2013	288	15	on	on	ADP
cana-2013	288	16	it	it	PRON
cana-2013	288	17	.	.	PUNCT
cana-2013	289	1	frontiers	frontier	NOUN
cana-2013	289	2	of	of	ADP
cana-2013	289	3	mathematics	mathematics	PROPN
cana-2013	289	4	in	in	ADP
cana-2013	289	5	china	china	PROPN
cana-2013	289	6	.	.	PUNCT
cana-2013	290	1	10	10	NUM
cana-2013	290	2	.	.	X
cana-2013	290	3	10.1007	10.1007	NUM
cana-2013	290	4	/	/	SYM
cana-2013	290	5	s11464	s11464	NOUN
cana-2013	290	6	-	-	PUNCT
cana-2013	290	7	015	015	NUM
cana-2013	290	8	-	-	PUNCT
cana-2013	290	9	0412	0412	NUM
cana-2013	290	10	-	-	PUNCT
cana-2013	290	11	z.	z.	NOUN
cana-2013	291	1	[	[	X
cana-2013	291	2	9	9	NUM
cana-2013	291	3	]	]	PUNCT
cana-2013	291	4	ogiwara	ogiwara	NOUN
cana-2013	291	5	k.	k.	PROPN
cana-2013	291	6	,	,	PUNCT
cana-2013	291	7	fukami	fukami	PROPN
cana-2013	291	8	t.	t.	PROPN
cana-2013	291	9	,	,	PUNCT
cana-2013	291	10	takahashi	takahashi	PROPN
cana-2013	291	11	n.	n.	PROPN
cana-2013	291	12	,	,	PUNCT
cana-2013	291	13	maximizing	maximize	VERB
cana-2013	291	14	algebraic	algebraic	ADJ
cana-2013	291	15	connectivity	connectivity	NOUN
cana-2013	291	16	in	in	ADP
cana-2013	291	17	the	the	DET
cana-2013	291	18	space	space	NOUN
cana-2013	291	19	of	of	ADP
cana-2013	291	20	graphs	graph	NOUN
cana-2013	291	21	with	with	ADP
cana-2013	291	22	fixed	fix	VERB
cana-2013	291	23	number	number	NOUN
cana-2013	291	24	of	of	ADP
cana-2013	291	25	vertices	vertex	NOUN
cana-2013	291	26	and	and	CCONJ
cana-2013	291	27	edges	edge	NOUN
cana-2013	291	28	,	,	PUNCT
cana-2013	291	29	ieee	ieee	NOUN
cana-2013	291	30	trans	tran	NOUN
cana-2013	291	31	.	.	PUNCT
cana-2013	292	1	control	control	PROPN
cana-2013	292	2	netw	netw	PROPN
cana-2013	292	3	.	.	PUNCT
cana-2013	293	1	syst	syst	PROPN
cana-2013	293	2	.	.	PROPN
cana-2013	293	3	,	,	PUNCT
cana-2013	293	4	2017	2017	NUM
cana-2013	293	5	,	,	PUNCT
cana-2013	293	6	4(2	4(2	NUM
cana-2013	293	7	)	)	PUNCT
cana-2013	293	8	,	,	PUNCT
cana-2013	293	9	359–368.10.1109	359–368.10.1109	NUM
cana-2013	293	10	/	/	SYM
cana-2013	293	11	tcns.2015.2503561search	tcns.2015.2503561search	NOUN
cana-2013	293	12	in	in	ADP
cana-2013	293	13	google	google	PROPN
cana-2013	293	14	scholar	scholar	NOUN
cana-2013	293	15	[	[	X
cana-2013	293	16	10	10	NUM
cana-2013	293	17	]	]	X
cana-2013	293	18	raja	raja	PROPN
cana-2013	293	19	singh	singh	PROPN
cana-2013	293	20	,	,	PUNCT
cana-2013	293	21	indra	indra	PROPN
cana-2013	293	22	&	&	CCONJ
cana-2013	293	23	manuel	manuel	PROPN
cana-2013	293	24	,	,	PUNCT
cana-2013	293	25	paul	paul	PROPN
cana-2013	293	26	&	&	CCONJ
cana-2013	293	27	arockiaraj	arockiaraj	PROPN
cana-2013	293	28	,	,	PUNCT
cana-2013	293	29	micheal&rajan	micheal&rajan	PROPN
cana-2013	293	30	,	,	PUNCT
cana-2013	293	31	bharati	bharati	NOUN
cana-2013	293	32	.	.	PUNCT
cana-2013	294	1	(	(	PUNCT
cana-2013	294	2	2013	2013	NUM
cana-2013	294	3	)	)	PUNCT
cana-2013	294	4	.	.	PUNCT
cana-2013	295	1	“	"	PUNCT
cana-2013	295	2	embedding	embed	VERB
cana-2013	295	3	of	of	ADP
cana-2013	295	4	circulant	circulant	ADJ
cana-2013	295	5	networks	network	NOUN
cana-2013	295	6	”	"	PUNCT
cana-2013	295	7	journal	journal	NOUN
cana-2013	295	8	of	of	ADP
cana-2013	295	9	combinatorial	combinatorial	ADJ
cana-2013	295	10	optimization	optimization	NOUN
cana-2013	295	11	.	.	PUNCT
cana-2013	296	1	26	26	NUM
cana-2013	296	2	.	.	X
cana-2013	296	3	10.1007	10.1007	NUM
cana-2013	296	4	/	/	SYM
cana-2013	296	5	s10878	s10878	ADJ
cana-2013	296	6	-	-	PUNCT
cana-2013	296	7	011	011	NUM
cana-2013	296	8	-	-	PUNCT
cana-2013	296	9	9443	9443	NUM
cana-2013	296	10	-	-	PUNCT
cana-2013	296	11	x	x	SYM
cana-2013	297	1	[	[	X
cana-2013	297	2	11	11	NUM
cana-2013	297	3	]	]	PUNCT
cana-2013	297	4	s.	s.	PROPN
cana-2013	297	5	g´omez	g´omez	PROPN
cana-2013	297	6	,	,	PUNCT
cana-2013	297	7	a.	a.	NOUN
cana-2013	297	8	d´ıaz	d´ıaz	PROPN
cana-2013	297	9	-	-	PUNCT
cana-2013	297	10	guilera	guilera	PROPN
cana-2013	297	11	,	,	PUNCT
cana-2013	297	12	j.	j.	PROPN
cana-2013	297	13	g´omez	g´omez	PROPN
cana-2013	297	14	-	-	PUNCT
cana-2013	297	15	garde˜nes	garde˜ne	NOUN
cana-2013	297	16	,	,	PUNCT
cana-2013	297	17	c.	c.	PROPN
cana-2013	297	18	j.	j.	PROPN
cana-2013	297	19	p´erez	p´erez	PROPN
cana-2013	297	20	-	-	PUNCT
cana-2013	297	21	vicente	vicente	NOUN
cana-2013	297	22	,	,	PUNCT
cana-2013	297	23	y.	y.	PROPN
cana-2013	297	24	moreno	moreno	PROPN
cana-2013	297	25	,	,	PUNCT
cana-2013	297	26	a.	a.	PROPN
cana-2013	297	27	arenas	arenas	PROPN
cana-2013	297	28	,	,	PUNCT
cana-2013	297	29	diffusion	diffusion	NOUN
cana-2013	297	30	dynamics	dynamic	NOUN
cana-2013	297	31	on	on	ADP
cana-2013	297	32	multiplex	multiplex	PROPN
cana-2013	297	33	networks	network	NOUN
cana-2013	297	34	,	,	PUNCT
cana-2013	297	35	phys	phy	NOUN
cana-2013	297	36	.	.	PUNCT
cana-2013	298	1	rev	rev	PROPN
cana-2013	298	2	.	.	PROPN
cana-2013	298	3	lett	lett	PROPN
cana-2013	298	4	.	.	PUNCT
cana-2013	299	1	110	110	NUM
cana-2013	299	2	(	(	PUNCT
cana-2013	299	3	2013	2013	NUM
cana-2013	299	4	)	)	PUNCT
cana-2013	299	5	028701	028701	NUM
cana-2013	299	6	.	.	PUNCT
cana-2013	300	1	doi:10.1103	doi:10.1103	NOUN
cana-2013	300	2	/	/	SYM
cana-2013	300	3	physrevlett.110.028701	physrevlett.110.028701	NOUN
cana-2013	300	4	.	.	PUNCT
cana-2013	301	1	[	[	X
cana-2013	301	2	12	12	NUM
cana-2013	301	3	]	]	X
cana-2013	301	4	wei	wei	PROPN
cana-2013	301	5	p.	p.	PROPN
cana-2013	301	6	,	,	PUNCT
cana-2013	301	7	spiers	spiers	PROPN
cana-2013	301	8	g.	g.	PROPN
cana-2013	301	9	,	,	PUNCT
cana-2013	301	10	sun	sun	PROPN
cana-2013	301	11	d.	d.	PROPN
cana-2013	301	12	,	,	PUNCT
cana-2013	301	13	algebraic	algebraic	PROPN
cana-2013	301	14	connectivity	connectivity	NOUN
cana-2013	301	15	maximization	maximization	NOUN
cana-2013	301	16	for	for	ADP
cana-2013	301	17	air	air	NOUN
cana-2013	301	18	transportation	transportation	NOUN
cana-2013	301	19	networks	network	NOUN
cana-2013	301	20	,	,	PUNCT
cana-2013	301	21	ieee	ieee	PROPN
cana-2013	301	22	trans	trans	PROPN
cana-2013	301	23	.	.	PUNCT
cana-2013	302	1	intell	intell	PROPN
cana-2013	302	2	.	.	PUNCT
cana-2013	303	1	transp	transp	PROPN
cana-2013	303	2	.	.	PUNCT
cana-2013	304	1	syst	syst	PROPN
cana-2013	304	2	.	.	PROPN
cana-2013	304	3	,	,	PUNCT
cana-2013	304	4	2014	2014	NUM
cana-2013	304	5	,	,	PUNCT
cana-2013	304	6	15(2	15(2	NUM
cana-2013	304	7	)	)	PUNCT
cana-2013	304	8	,	,	PUNCT
cana-2013	304	9	685–698	685–698	NUM
cana-2013	304	10	.	.	PUNCT
cana-2013	305	1	[	[	X
cana-2013	305	2	13	13	NUM
cana-2013	305	3	]	]	X
cana-2013	305	4	y.	y.	PROPN
cana-2013	305	5	shang	shang	PROPN
cana-2013	305	6	,	,	PUNCT
cana-2013	305	7	synchronization	synchronization	NOUN
cana-2013	305	8	in	in	ADP
cana-2013	305	9	networks	network	NOUN
cana-2013	305	10	of	of	ADP
cana-2013	305	11	coupled	couple	VERB
cana-2013	305	12	harmonic	harmonic	ADJ
cana-2013	305	13	oscillators	oscillator	NOUN
cana-2013	305	14	with	with	ADP
cana-2013	305	15	stochastic	stochastic	ADJ
cana-2013	305	16	perturbation	perturbation	NOUN
cana-2013	305	17	and	and	CCONJ
cana-2013	305	18	time	time	NOUN
cana-2013	305	19	delays	delay	NOUN
cana-2013	305	20	,	,	PUNCT
cana-2013	305	21	mathematics	mathematic	NOUN
cana-2013	305	22	and	and	CCONJ
cana-2013	305	23	its	its	PRON
cana-2013	305	24	applications	application	NOUN
cana-2013	305	25	:	:	PUNCT
cana-2013	305	26	annals	annal	NOUN
cana-2013	305	27	of	of	ADP
cana-2013	305	28	the	the	DET
cana-2013	305	29	academy	academy	NOUN
cana-2013	305	30	of	of	ADP
cana-2013	305	31	romanian	romanian	ADJ
cana-2013	305	32	scientists	scientist	NOUN
cana-2013	305	33	4	4	NUM
cana-2013	305	34	(	(	PUNCT
cana-2013	305	35	1	1	NUM
cana-2013	305	36	)	)	PUNCT
cana-2013	305	37	(	(	PUNCT
cana-2013	305	38	2012	2012	NUM
cana-2013	305	39	)	)	PUNCT
cana-2013	305	40	44	44	NUM
cana-2013	305	41	.	.	PUNCT
cana-2013	306	1	[	[	X
cana-2013	306	2	14	14	NUM
cana-2013	306	3	]	]	PUNCT
cana-2013	306	4	yunyun	yunyun	PROPN
cana-2013	306	5	yang	yang	PROPN
cana-2013	306	6	and	and	CCONJ
cana-2013	306	7	gang	gang	PROPN
cana-2013	306	8	xie	xie	PROPN
cana-2013	306	9	,	,	PUNCT
cana-2013	306	10	(	(	PUNCT
cana-2013	306	11	2016	2016	NUM
cana-2013	306	12	)	)	PUNCT
cana-2013	306	13	“	"	PUNCT
cana-2013	306	14	maximum	maximum	ADJ
cana-2013	306	15	matchings	matching	NOUN
cana-2013	306	16	of	of	ADP
cana-2013	306	17	a	a	DET
cana-2013	306	18	digraph	digraph	NOUN
cana-2013	306	19	based	base	VERB
cana-2013	306	20	on	on	ADP
cana-2013	306	21	the	the	DET
cana-2013	306	22	largest	large	ADJ
cana-2013	306	23	geometric	geometric	ADJ
cana-2013	306	24	multiplicity	multiplicity	NOUN
cana-2013	306	25	”	"	PUNCT
cana-2013	306	26	,	,	PUNCT
cana-2013	306	27	hindawi	hindawi	ADJ
cana-2013	306	28	publishing	publishing	NOUN
cana-2013	306	29	corporation	corporation	NOUN
cana-2013	306	30	,	,	PUNCT
cana-2013	306	31	vol	vol	NOUN
cana-2013	306	32	2016	2016	NUM
cana-2013	306	33	,	,	PUNCT
cana-2013	306	34	article	article	NOUN
cana-2013	306	35	i	i	PROPN
cana-2013	306	36	d	d	PROPN
cana-2013	306	37	4702387	4702387	NUM
cana-2013	306	38	.	.	PUNCT
cana-2013	307	1	[	[	X
cana-2013	307	2	15	15	NUM
cana-2013	307	3	]	]	PUNCT
cana-2013	307	4	z.	z.	PROPN
cana-2013	307	5	z.	z.	PROPN
cana-2013	307	6	yuan	yuan	PROPN
cana-2013	307	7	,	,	PUNCT
cana-2013	307	8	c.	c.	PROPN
cana-2013	307	9	zhao	zhao	PROPN
cana-2013	307	10	,	,	PUNCT
cana-2013	307	11	z.	z.	PROPN
cana-2013	307	12	r.	r.	PROPN
cana-2013	307	13	di	di	PROPN
cana-2013	307	14	,	,	PUNCT
cana-2013	307	15	w.-x	w.-x	PROPN
cana-2013	307	16	.	.	PUNCT
cana-2013	308	1	wang	wang	PROPN
cana-2013	308	2	,	,	PUNCT
cana-2013	308	3	and	and	CCONJ
cana-2013	308	4	y.-c	y.-c	PROPN
cana-2013	308	5	.	.	PUNCT
cana-2013	309	1	lai	lai	PROPN
cana-2013	309	2	,	,	PUNCT
cana-2013	309	3	(	(	PUNCT
cana-2013	309	4	2013	2013	NUM
cana-2013	309	5	)	)	PUNCT
cana-2013	309	6	“	"	PUNCT
cana-2013	309	7	exact	exact	ADJ
cana-2013	309	8	controllability	controllability	NOUN
cana-2013	309	9	of	of	ADP
cana-2013	309	10	complex	complex	ADJ
cana-2013	309	11	networks	network	NOUN
cana-2013	309	12	,	,	PUNCT
cana-2013	309	13	”	"	PUNCT
cana-2013	309	14	nature	nature	NOUN
cana-2013	309	15	communications	communication	NOUN
cana-2013	309	16	,	,	PUNCT
cana-2013	309	17	vol	vol	NOUN
cana-2013	309	18	.	.	PROPN
cana-2013	309	19	4	4	NUM
cana-2013	309	20	,	,	PUNCT
cana-2013	309	21	article	article	NOUN
cana-2013	309	22	2447	2447	NUM
cana-2013	309	23	.	.	PUNCT