id	sid	tid	token	lemma	pos
ejpam-5549	1	1	european	european	PROPN
ejpam-5549	1	2	journal	journal	PROPN
ejpam-5549	1	3	of	of	ADP
ejpam-5549	1	4	pure	pure	ADJ
ejpam-5549	1	5	and	and	CCONJ
ejpam-5549	1	6	applied	applied	ADJ
ejpam-5549	1	7	mathematics	mathematic	NOUN
ejpam-5549	1	8	2025	2025	NUM
ejpam-5549	1	9	,	,	PUNCT
ejpam-5549	1	10	vol	vol	NOUN
ejpam-5549	1	11	.	.	PROPN
ejpam-5549	1	12	18	18	NUM
ejpam-5549	1	13	,	,	PUNCT
ejpam-5549	1	14	issue	issue	NOUN
ejpam-5549	1	15	1	1	NUM
ejpam-5549	1	16	,	,	PUNCT
ejpam-5549	1	17	article	article	NOUN
ejpam-5549	1	18	number	number	NOUN
ejpam-5549	1	19	5549	5549	NUM
ejpam-5549	1	20	issn	issn	PROPN
ejpam-5549	1	21	1307	1307	NUM
ejpam-5549	1	22	-	-	SYM
ejpam-5549	1	23	5543	5543	NUM
ejpam-5549	1	24	–	–	PUNCT
ejpam-5549	1	25	ejpam.com	ejpam.com	X
ejpam-5549	1	26	published	publish	VERB
ejpam-5549	1	27	by	by	ADP
ejpam-5549	1	28	new	new	PROPN
ejpam-5549	1	29	york	york	PROPN
ejpam-5549	1	30	business	business	PROPN
ejpam-5549	1	31	global	global	ADJ
ejpam-5549	1	32	achieving	achieve	VERB
ejpam-5549	1	33	edge	edge	NOUN
ejpam-5549	1	34	consensus	consensus	NOUN
ejpam-5549	1	35	in	in	ADP
ejpam-5549	1	36	hybrid	hybrid	ADJ
ejpam-5549	1	37	multi	multi	ADJ
ejpam-5549	1	38	-	-	ADJ
ejpam-5549	1	39	agent	agent	ADJ
ejpam-5549	1	40	systems	system	NOUN
ejpam-5549	1	41	:	:	PUNCT
ejpam-5549	1	42	scaled	scale	VERB
ejpam-5549	1	43	dynamics	dynamic	NOUN
ejpam-5549	1	44	and	and	CCONJ
ejpam-5549	1	45	protocol	protocol	NOUN
ejpam-5549	1	46	design	design	PROPN
ejpam-5549	1	47	c.	c.	PROPN
ejpam-5549	1	48	park1	park1	PROPN
ejpam-5549	1	49	,	,	PUNCT
ejpam-5549	1	50	s.	s.	PROPN
ejpam-5549	1	51	donganont2	donganont2	PROPN
ejpam-5549	1	52	,	,	PUNCT
ejpam-5549	1	53	m.	m.	NOUN
ejpam-5549	1	54	donganont2,∗	donganont2,∗	PROPN
ejpam-5549	1	55	1	1	NUM
ejpam-5549	1	56	research	research	NOUN
ejpam-5549	1	57	institute	institute	NOUN
ejpam-5549	1	58	for	for	ADP
ejpam-5549	1	59	natural	natural	ADJ
ejpam-5549	1	60	sciences	science	NOUN
ejpam-5549	1	61	,	,	PUNCT
ejpam-5549	1	62	hanyang	hanyang	NOUN
ejpam-5549	1	63	university	university	PROPN
ejpam-5549	1	64	,	,	PUNCT
ejpam-5549	1	65	seoul	seoul	PROPN
ejpam-5549	1	66	04763	04763	NUM
ejpam-5549	1	67	,	,	PUNCT
ejpam-5549	1	68	korea	korea	PROPN
ejpam-5549	1	69	2	2	NUM
ejpam-5549	1	70	school	school	NOUN
ejpam-5549	1	71	of	of	ADP
ejpam-5549	1	72	science	science	NOUN
ejpam-5549	1	73	,	,	PUNCT
ejpam-5549	1	74	university	university	NOUN
ejpam-5549	1	75	of	of	ADP
ejpam-5549	1	76	phayao	phayao	NOUN
ejpam-5549	1	77	,	,	PUNCT
ejpam-5549	1	78	phayao	phayao	NOUN
ejpam-5549	1	79	56000	56000	NUM
ejpam-5549	1	80	,	,	PUNCT
ejpam-5549	1	81	thailand	thailand	PROPN
ejpam-5549	1	82	abstract	abstract	NOUN
ejpam-5549	1	83	.	.	PUNCT
ejpam-5549	2	1	in	in	ADP
ejpam-5549	2	2	contrast	contrast	NOUN
ejpam-5549	2	3	to	to	ADP
ejpam-5549	2	4	existing	exist	VERB
ejpam-5549	2	5	research	research	NOUN
ejpam-5549	2	6	on	on	ADP
ejpam-5549	2	7	consensus	consensus	NOUN
ejpam-5549	2	8	problems	problem	NOUN
ejpam-5549	2	9	that	that	PRON
ejpam-5549	2	10	primarily	primarily	ADV
ejpam-5549	2	11	addresses	address	VERB
ejpam-5549	2	12	the	the	DET
ejpam-5549	2	13	node	node	ADJ
ejpam-5549	2	14	dynamics	dynamic	NOUN
ejpam-5549	2	15	of	of	ADP
ejpam-5549	2	16	multi	multi	ADJ
ejpam-5549	2	17	-	-	ADJ
ejpam-5549	2	18	agent	agent	ADJ
ejpam-5549	2	19	systems	system	NOUN
ejpam-5549	2	20	,	,	PUNCT
ejpam-5549	2	21	this	this	DET
ejpam-5549	2	22	study	study	NOUN
ejpam-5549	2	23	focuses	focus	VERB
ejpam-5549	2	24	on	on	ADP
ejpam-5549	2	25	achieving	achieve	VERB
ejpam-5549	2	26	consensus	consensus	NOUN
ejpam-5549	2	27	among	among	ADP
ejpam-5549	2	28	the	the	DET
ejpam-5549	2	29	states	state	NOUN
ejpam-5549	2	30	of	of	ADP
ejpam-5549	2	31	edges	edge	NOUN
ejpam-5549	2	32	within	within	ADP
ejpam-5549	2	33	a	a	DET
ejpam-5549	2	34	network	network	NOUN
ejpam-5549	2	35	.	.	PUNCT
ejpam-5549	3	1	initially	initially	ADV
ejpam-5549	3	2	,	,	PUNCT
ejpam-5549	3	3	the	the	DET
ejpam-5549	3	4	scaled	scale	VERB
ejpam-5549	3	5	consensus	consensus	NOUN
ejpam-5549	3	6	of	of	ADP
ejpam-5549	3	7	edge	edge	NOUN
ejpam-5549	3	8	dynamics	dynamic	NOUN
ejpam-5549	3	9	in	in	ADP
ejpam-5549	3	10	hybrid	hybrid	ADJ
ejpam-5549	3	11	multi	multi	ADJ
ejpam-5549	3	12	-	-	ADJ
ejpam-5549	3	13	agent	agent	ADJ
ejpam-5549	3	14	systems	system	NOUN
ejpam-5549	3	15	is	be	AUX
ejpam-5549	3	16	investigated	investigate	VERB
ejpam-5549	3	17	for	for	ADP
ejpam-5549	3	18	both	both	CCONJ
ejpam-5549	3	19	undirected	undirected	ADJ
ejpam-5549	3	20	and	and	CCONJ
ejpam-5549	3	21	directed	direct	VERB
ejpam-5549	3	22	topologies	topology	NOUN
ejpam-5549	3	23	.	.	PUNCT
ejpam-5549	4	1	subsequently	subsequently	ADV
ejpam-5549	4	2	,	,	PUNCT
ejpam-5549	4	3	necessary	necessary	ADJ
ejpam-5549	4	4	and	and	CCONJ
ejpam-5549	4	5	sufficient	sufficient	ADJ
ejpam-5549	4	6	conditions	condition	NOUN
ejpam-5549	4	7	are	be	AUX
ejpam-5549	4	8	derived	derive	VERB
ejpam-5549	4	9	for	for	ADP
ejpam-5549	4	10	both	both	CCONJ
ejpam-5549	4	11	directed	direct	VERB
ejpam-5549	4	12	and	and	CCONJ
ejpam-5549	4	13	undirected	undirected	ADJ
ejpam-5549	4	14	topologies	topology	NOUN
ejpam-5549	4	15	to	to	PART
ejpam-5549	4	16	facilitate	facilitate	VERB
ejpam-5549	4	17	the	the	DET
ejpam-5549	4	18	design	design	NOUN
ejpam-5549	4	19	of	of	ADP
ejpam-5549	4	20	consensus	consensus	NOUN
ejpam-5549	4	21	protocols	protocol	NOUN
ejpam-5549	4	22	aimed	aim	VERB
ejpam-5549	4	23	at	at	ADP
ejpam-5549	4	24	resolving	resolve	VERB
ejpam-5549	4	25	edge	edge	NOUN
ejpam-5549	4	26	consensus	consensus	NOUN
ejpam-5549	4	27	challenges	challenge	NOUN
ejpam-5549	4	28	.	.	PUNCT
ejpam-5549	5	1	finally	finally	ADV
ejpam-5549	5	2	,	,	PUNCT
ejpam-5549	5	3	numerical	numerical	ADJ
ejpam-5549	5	4	examples	example	NOUN
ejpam-5549	5	5	are	be	AUX
ejpam-5549	5	6	provided	provide	VERB
ejpam-5549	5	7	to	to	PART
ejpam-5549	5	8	substantiate	substantiate	VERB
ejpam-5549	5	9	the	the	DET
ejpam-5549	5	10	effectiveness	effectiveness	NOUN
ejpam-5549	5	11	of	of	ADP
ejpam-5549	5	12	the	the	DET
ejpam-5549	5	13	theoretical	theoretical	ADJ
ejpam-5549	5	14	results	result	NOUN
ejpam-5549	5	15	.	.	PUNCT
ejpam-5549	6	1	2020	2020	NUM
ejpam-5549	6	2	mathematics	mathematic	NOUN
ejpam-5549	6	3	subject	subject	NOUN
ejpam-5549	6	4	classifications	classification	NOUN
ejpam-5549	6	5	:	:	PUNCT
ejpam-5549	6	6	93a16	93a16	NUM
ejpam-5549	6	7	,	,	PUNCT
ejpam-5549	6	8	93b70	93b70	NUM
ejpam-5549	6	9	,	,	PUNCT
ejpam-5549	6	10	93c27	93c27	NUM
ejpam-5549	6	11	,	,	PUNCT
ejpam-5549	6	12	93d50	93d50	NUM
ejpam-5549	6	13	key	key	ADJ
ejpam-5549	6	14	words	word	NOUN
ejpam-5549	6	15	and	and	CCONJ
ejpam-5549	6	16	phrases	phrase	NOUN
ejpam-5549	6	17	:	:	PUNCT
ejpam-5549	6	18	hybrid	hybrid	ADJ
ejpam-5549	6	19	multi	multi	ADJ
ejpam-5549	6	20	-	-	ADJ
ejpam-5549	6	21	agent	agent	ADJ
ejpam-5549	6	22	systems	system	NOUN
ejpam-5549	6	23	,	,	PUNCT
ejpam-5549	6	24	scaled	scale	VERB
ejpam-5549	6	25	consensus	consensus	NOUN
ejpam-5549	6	26	,	,	PUNCT
ejpam-5549	6	27	edge	edge	VERB
ejpam-5549	6	28	consensus	consensus	NOUN
ejpam-5549	6	29	problem	problem	NOUN
ejpam-5549	6	30	,	,	PUNCT
ejpam-5549	6	31	spanning	span	VERB
ejpam-5549	6	32	tree	tree	NOUN
ejpam-5549	6	33	,	,	PUNCT
ejpam-5549	6	34	directed	directed	ADJ
ejpam-5549	6	35	and	and	CCONJ
ejpam-5549	6	36	undirected	undirected	ADJ
ejpam-5549	6	37	topology	topology	NOUN
ejpam-5549	6	38	1	1	NUM
ejpam-5549	6	39	.	.	PUNCT
ejpam-5549	7	1	introduction	introduction	NOUN
ejpam-5549	7	2	in	in	ADP
ejpam-5549	7	3	the	the	DET
ejpam-5549	7	4	past	past	ADJ
ejpam-5549	7	5	several	several	ADJ
ejpam-5549	7	6	decades	decade	NOUN
ejpam-5549	8	1	,	,	PUNCT
ejpam-5549	8	2	the	the	DET
ejpam-5549	8	3	study	study	NOUN
ejpam-5549	8	4	of	of	ADP
ejpam-5549	8	5	consensus	consensus	NOUN
ejpam-5549	8	6	problems	problem	NOUN
ejpam-5549	8	7	within	within	ADP
ejpam-5549	8	8	multi	multi	ADJ
ejpam-5549	8	9	-	-	ADJ
ejpam-5549	8	10	agent	agent	ADJ
ejpam-5549	8	11	systems	system	NOUN
ejpam-5549	8	12	has	have	AUX
ejpam-5549	8	13	garnered	garner	VERB
ejpam-5549	8	14	significant	significant	ADJ
ejpam-5549	8	15	attention	attention	NOUN
ejpam-5549	8	16	,	,	PUNCT
ejpam-5549	8	17	owing	owe	VERB
ejpam-5549	8	18	to	to	ADP
ejpam-5549	8	19	their	their	PRON
ejpam-5549	8	20	extensive	extensive	ADJ
ejpam-5549	8	21	applicability	applicability	NOUN
ejpam-5549	8	22	across	across	ADP
ejpam-5549	8	23	a	a	DET
ejpam-5549	8	24	diverse	diverse	ADJ
ejpam-5549	8	25	array	array	NOUN
ejpam-5549	8	26	of	of	ADP
ejpam-5549	8	27	disciplines	discipline	NOUN
ejpam-5549	8	28	,	,	PUNCT
ejpam-5549	8	29	including	include	VERB
ejpam-5549	8	30	swarm	swarm	NOUN
ejpam-5549	8	31	robotics	robotic	NOUN
ejpam-5549	8	32	,	,	PUNCT
ejpam-5549	8	33	distributed	distribute	VERB
ejpam-5549	8	34	sensor	sensor	NOUN
ejpam-5549	8	35	networks	network	NOUN
ejpam-5549	8	36	,	,	PUNCT
ejpam-5549	8	37	traffic	traffic	NOUN
ejpam-5549	8	38	management	management	NOUN
ejpam-5549	8	39	systems	system	NOUN
ejpam-5549	8	40	,	,	PUNCT
ejpam-5549	8	41	online	online	ADJ
ejpam-5549	8	42	marketplaces	marketplace	NOUN
ejpam-5549	8	43	,	,	PUNCT
ejpam-5549	8	44	and	and	CCONJ
ejpam-5549	8	45	social	social	ADJ
ejpam-5549	8	46	networks[10	networks[10	ADJ
ejpam-5549	8	47	,	,	PUNCT
ejpam-5549	8	48	15	15	NUM
ejpam-5549	8	49	]	]	PUNCT
ejpam-5549	8	50	.	.	PUNCT
ejpam-5549	9	1	consensus	consensus	NOUN
ejpam-5549	9	2	is	be	AUX
ejpam-5549	9	3	characterized	characterize	VERB
ejpam-5549	9	4	as	as	ADP
ejpam-5549	9	5	the	the	DET
ejpam-5549	9	6	process	process	NOUN
ejpam-5549	9	7	by	by	ADP
ejpam-5549	9	8	which	which	PRON
ejpam-5549	9	9	a	a	DET
ejpam-5549	9	10	collective	collective	NOUN
ejpam-5549	9	11	of	of	ADP
ejpam-5549	9	12	agents	agent	NOUN
ejpam-5549	9	13	or	or	CCONJ
ejpam-5549	9	14	entities	entity	NOUN
ejpam-5549	9	15	within	within	ADP
ejpam-5549	9	16	a	a	DET
ejpam-5549	9	17	system	system	NOUN
ejpam-5549	9	18	endeavors	endeavor	NOUN
ejpam-5549	9	19	to	to	PART
ejpam-5549	9	20	attain	attain	VERB
ejpam-5549	9	21	an	an	DET
ejpam-5549	9	22	agreement	agreement	NOUN
ejpam-5549	9	23	or	or	CCONJ
ejpam-5549	9	24	a	a	DET
ejpam-5549	9	25	unified	unified	ADJ
ejpam-5549	9	26	decision	decision	NOUN
ejpam-5549	9	27	regarding	regard	VERB
ejpam-5549	9	28	a	a	DET
ejpam-5549	9	29	particular	particular	ADJ
ejpam-5549	9	30	quantity	quantity	NOUN
ejpam-5549	9	31	of	of	ADP
ejpam-5549	9	32	interest	interest	NOUN
ejpam-5549	9	33	.	.	PUNCT
ejpam-5549	10	1	the	the	DET
ejpam-5549	10	2	achievement	achievement	NOUN
ejpam-5549	10	3	of	of	ADP
ejpam-5549	10	4	consensus	consensus	NOUN
ejpam-5549	10	5	is	be	AUX
ejpam-5549	10	6	critical	critical	ADJ
ejpam-5549	10	7	for	for	ADP
ejpam-5549	10	8	promoting	promote	VERB
ejpam-5549	10	9	coordinated	coordinated	ADJ
ejpam-5549	10	10	behavior	behavior	NOUN
ejpam-5549	10	11	,	,	PUNCT
ejpam-5549	10	12	collaboration	collaboration	NOUN
ejpam-5549	10	13	,	,	PUNCT
ejpam-5549	10	14	and	and	CCONJ
ejpam-5549	10	15	decision	decision	NOUN
ejpam-5549	10	16	-	-	PUNCT
ejpam-5549	10	17	making	making	NOUN
ejpam-5549	10	18	among	among	ADP
ejpam-5549	10	19	the	the	DET
ejpam-5549	10	20	agents	agent	NOUN
ejpam-5549	10	21	.	.	PUNCT
ejpam-5549	11	1	as	as	ADP
ejpam-5549	11	2	a	a	DET
ejpam-5549	11	3	result	result	NOUN
ejpam-5549	11	4	,	,	PUNCT
ejpam-5549	11	5	a	a	DET
ejpam-5549	11	6	plethora	plethora	NOUN
ejpam-5549	11	7	of	of	ADP
ejpam-5549	11	8	researchers	researcher	NOUN
ejpam-5549	11	9	have	have	AUX
ejpam-5549	11	10	developed	develop	VERB
ejpam-5549	11	11	consensus	consensus	NOUN
ejpam-5549	11	12	algorithms	algorithm	NOUN
ejpam-5549	11	13	in	in	ADP
ejpam-5549	11	14	recent	recent	ADJ
ejpam-5549	11	15	years	year	NOUN
ejpam-5549	11	16	,	,	PUNCT
ejpam-5549	11	17	which	which	PRON
ejpam-5549	11	18	are	be	AUX
ejpam-5549	11	19	essential	essential	ADJ
ejpam-5549	11	20	for	for	ADP
ejpam-5549	11	21	ensuring	ensure	VERB
ejpam-5549	11	22	that	that	SCONJ
ejpam-5549	11	23	all	all	DET
ejpam-5549	11	24	agents	agent	NOUN
ejpam-5549	11	25	within	within	ADP
ejpam-5549	11	26	the	the	DET
ejpam-5549	11	27	system	system	NOUN
ejpam-5549	11	28	converge	converge	VERB
ejpam-5549	11	29	to	to	ADP
ejpam-5549	11	30	a	a	DET
ejpam-5549	11	31	common	common	ADJ
ejpam-5549	11	32	understanding	understanding	NOUN
ejpam-5549	11	33	or	or	CCONJ
ejpam-5549	11	34	state	state	NOUN
ejpam-5549	11	35	,	,	PUNCT
ejpam-5549	11	36	thereby	thereby	ADV
ejpam-5549	11	37	enhancing	enhance	VERB
ejpam-5549	11	38	the	the	DET
ejpam-5549	11	39	overall	overall	ADJ
ejpam-5549	11	40	efficiency	efficiency	NOUN
ejpam-5549	11	41	and	and	CCONJ
ejpam-5549	11	42	effectiveness	effectiveness	NOUN
ejpam-5549	11	43	of	of	ADP
ejpam-5549	11	44	the	the	DET
ejpam-5549	11	45	system	system	NOUN
ejpam-5549	11	46	’s	’s	PART
ejpam-5549	11	47	operation	operation	NOUN
ejpam-5549	11	48	(	(	PUNCT
ejpam-5549	11	49	see	see	VERB
ejpam-5549	11	50	examples	example	NOUN
ejpam-5549	11	51	in	in	ADP
ejpam-5549	11	52	[	[	X
ejpam-5549	11	53	1	1	NUM
ejpam-5549	11	54	,	,	PUNCT
ejpam-5549	11	55	4	4	NUM
ejpam-5549	11	56	,	,	PUNCT
ejpam-5549	11	57	9	9	NUM
ejpam-5549	11	58	,	,	PUNCT
ejpam-5549	11	59	11	11	NUM
ejpam-5549	11	60	,	,	PUNCT
ejpam-5549	11	61	13	13	NUM
ejpam-5549	11	62	,	,	PUNCT
ejpam-5549	11	63	16	16	NUM
ejpam-5549	11	64	,	,	PUNCT
ejpam-5549	11	65	21	21	NUM
ejpam-5549	11	66	,	,	PUNCT
ejpam-5549	11	67	22	22	NUM
ejpam-5549	11	68	]	]	PUNCT
ejpam-5549	11	69	)	)	PUNCT
ejpam-5549	11	70	.	.	PUNCT
ejpam-5549	12	1	the	the	DET
ejpam-5549	12	2	aforementioned	aforementioned	ADJ
ejpam-5549	12	3	findings	finding	NOUN
ejpam-5549	12	4	predominantly	predominantly	ADV
ejpam-5549	12	5	addressed	address	VERB
ejpam-5549	12	6	consensus	consensus	NOUN
ejpam-5549	12	7	issues	issue	NOUN
ejpam-5549	12	8	pertaining	pertain	VERB
ejpam-5549	12	9	to	to	ADP
ejpam-5549	12	10	∗corresponding	∗corresponde	VERB
ejpam-5549	12	11	author	author	NOUN
ejpam-5549	12	12	.	.	PUNCT
ejpam-5549	13	1	doi	doi	NOUN
ejpam-5549	13	2	:	:	PUNCT
ejpam-5549	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5549	https://doi.org/10.29020/nybg.ejpam.v18i1.5549	DET
ejpam-5549	13	4	email	email	NOUN
ejpam-5549	13	5	addresses	address	NOUN
ejpam-5549	13	6	:	:	PUNCT
ejpam-5549	13	7	baak@hanyang.ac.kr	baak@hanyang.ac.kr	PROPN
ejpam-5549	13	8	(	(	PUNCT
ejpam-5549	13	9	c.	c.	PROPN
ejpam-5549	13	10	park	park	PROPN
ejpam-5549	13	11	)	)	PUNCT
ejpam-5549	13	12	,	,	PUNCT
ejpam-5549	13	13	siriluk.pa@up.ac.th	siriluk.pa@up.ac.th	PROPN
ejpam-5549	13	14	(	(	PUNCT
ejpam-5549	13	15	s.	s.	PROPN
ejpam-5549	13	16	donganont	donganont	PROPN
ejpam-5549	13	17	)	)	PUNCT
ejpam-5549	13	18	,	,	PUNCT
ejpam-5549	13	19	mana.do@up.ac.th	mana.do@up.ac.th	PROPN
ejpam-5549	13	20	(	(	PUNCT
ejpam-5549	13	21	m.	m.	NOUN
ejpam-5549	13	22	donganont	donganont	PROPN
ejpam-5549	13	23	)	)	PUNCT
ejpam-5549	13	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5549	14	1	1	1	NUM
ejpam-5549	14	2	copyright	copyright	NOUN
ejpam-5549	14	3	:	:	PUNCT
ejpam-5549	14	4	©	©	PROPN
ejpam-5549	14	5	2025	2025	NUM
ejpam-5549	14	6	the	the	DET
ejpam-5549	14	7	author(s	author(s	NOUN
ejpam-5549	14	8	)	)	PUNCT
ejpam-5549	14	9	.	.	PUNCT
ejpam-5549	15	1	(	(	PUNCT
ejpam-5549	15	2	cc	cc	NOUN
ejpam-5549	15	3	by	by	ADP
ejpam-5549	15	4	-	-	PUNCT
ejpam-5549	15	5	nc	nc	PROPN
ejpam-5549	15	6	4.0	4.0	NUM
ejpam-5549	15	7	)	)	PUNCT
ejpam-5549	15	8	c.	c.	NOUN
ejpam-5549	15	9	park	park	PROPN
ejpam-5549	15	10	,	,	PUNCT
ejpam-5549	15	11	s.	s.	PROPN
ejpam-5549	15	12	donganont	donganont	PROPN
ejpam-5549	15	13	and	and	CCONJ
ejpam-5549	15	14	m.	m.	PROPN
ejpam-5549	15	15	donganont	donganont	PROPN
ejpam-5549	15	16	/	/	SYM
ejpam-5549	15	17	eur	eur	PROPN
ejpam-5549	15	18	.	.	PUNCT
ejpam-5549	16	1	j.	j.	PROPN
ejpam-5549	16	2	pure	pure	PROPN
ejpam-5549	16	3	appl	appl	PROPN
ejpam-5549	16	4	.	.	PROPN
ejpam-5549	16	5	math	math	PROPN
ejpam-5549	16	6	,	,	PUNCT
ejpam-5549	16	7	18	18	NUM
ejpam-5549	16	8	(	(	PUNCT
ejpam-5549	16	9	1	1	NUM
ejpam-5549	16	10	)	)	PUNCT
ejpam-5549	16	11	(	(	PUNCT
ejpam-5549	16	12	2025	2025	NUM
ejpam-5549	16	13	)	)	PUNCT
ejpam-5549	16	14	,	,	PUNCT
ejpam-5549	16	15	5549	5549	NUM
ejpam-5549	16	16	2	2	NUM
ejpam-5549	16	17	of	of	ADP
ejpam-5549	16	18	16	16	NUM
ejpam-5549	16	19	node	node	NOUN
ejpam-5549	16	20	dynamics	dynamic	NOUN
ejpam-5549	16	21	.	.	PUNCT
ejpam-5549	17	1	nevertheless	nevertheless	ADV
ejpam-5549	17	2	,	,	PUNCT
ejpam-5549	17	3	in	in	ADP
ejpam-5549	17	4	a	a	DET
ejpam-5549	17	5	variety	variety	NOUN
ejpam-5549	17	6	of	of	ADP
ejpam-5549	17	7	real	real	ADJ
ejpam-5549	17	8	-	-	PUNCT
ejpam-5549	17	9	world	world	NOUN
ejpam-5549	17	10	scenarios	scenario	NOUN
ejpam-5549	17	11	,	,	PUNCT
ejpam-5549	17	12	the	the	DET
ejpam-5549	17	13	interactions	interaction	NOUN
ejpam-5549	17	14	among	among	ADP
ejpam-5549	17	15	agents	agent	NOUN
ejpam-5549	17	16	are	be	AUX
ejpam-5549	17	17	influenced	influence	VERB
ejpam-5549	17	18	not	not	PART
ejpam-5549	17	19	only	only	ADV
ejpam-5549	17	20	by	by	ADP
ejpam-5549	17	21	their	their	PRON
ejpam-5549	17	22	individual	individual	ADJ
ejpam-5549	17	23	states	state	NOUN
ejpam-5549	17	24	(	(	PUNCT
ejpam-5549	17	25	nodes	node	NOUN
ejpam-5549	17	26	)	)	PUNCT
ejpam-5549	17	27	but	but	CCONJ
ejpam-5549	17	28	also	also	ADV
ejpam-5549	17	29	by	by	ADP
ejpam-5549	17	30	the	the	DET
ejpam-5549	17	31	relationships	relationship	NOUN
ejpam-5549	17	32	that	that	PRON
ejpam-5549	17	33	exist	exist	VERB
ejpam-5549	17	34	between	between	ADP
ejpam-5549	17	35	them	they	PRON
ejpam-5549	17	36	(	(	PUNCT
ejpam-5549	17	37	edges	edge	NOUN
ejpam-5549	17	38	)	)	PUNCT
ejpam-5549	17	39	.	.	PUNCT
ejpam-5549	18	1	the	the	DET
ejpam-5549	18	2	edge	edge	NOUN
ejpam-5549	18	3	consensus	consensus	NOUN
ejpam-5549	18	4	problem	problem	NOUN
ejpam-5549	18	5	is	be	AUX
ejpam-5549	18	6	defined	define	VERB
ejpam-5549	18	7	as	as	ADP
ejpam-5549	18	8	the	the	DET
ejpam-5549	18	9	endeavor	endeavor	NOUN
ejpam-5549	18	10	to	to	PART
ejpam-5549	18	11	achieve	achieve	VERB
ejpam-5549	18	12	consensus	consensus	NOUN
ejpam-5549	18	13	or	or	CCONJ
ejpam-5549	18	14	agreement	agreement	NOUN
ejpam-5549	18	15	among	among	ADP
ejpam-5549	18	16	the	the	DET
ejpam-5549	18	17	states	state	NOUN
ejpam-5549	18	18	of	of	ADP
ejpam-5549	18	19	edges	edge	NOUN
ejpam-5549	18	20	within	within	ADP
ejpam-5549	18	21	a	a	DET
ejpam-5549	18	22	network	network	NOUN
ejpam-5549	18	23	,	,	PUNCT
ejpam-5549	18	24	rather	rather	ADV
ejpam-5549	18	25	than	than	ADP
ejpam-5549	18	26	concentrating	concentrate	VERB
ejpam-5549	18	27	solely	solely	ADV
ejpam-5549	18	28	on	on	ADP
ejpam-5549	18	29	the	the	DET
ejpam-5549	18	30	states	state	NOUN
ejpam-5549	18	31	of	of	ADP
ejpam-5549	18	32	individual	individual	ADJ
ejpam-5549	18	33	nodes	node	NOUN
ejpam-5549	18	34	or	or	CCONJ
ejpam-5549	18	35	agents	agent	NOUN
ejpam-5549	18	36	.	.	PUNCT
ejpam-5549	19	1	in	in	ADP
ejpam-5549	19	2	the	the	DET
ejpam-5549	19	3	framework	framework	NOUN
ejpam-5549	19	4	of	of	ADP
ejpam-5549	19	5	edge	edge	NOUN
ejpam-5549	19	6	consensus	consensus	NOUN
ejpam-5549	19	7	,	,	PUNCT
ejpam-5549	19	8	the	the	DET
ejpam-5549	19	9	objective	objective	NOUN
ejpam-5549	19	10	is	be	AUX
ejpam-5549	19	11	for	for	SCONJ
ejpam-5549	19	12	the	the	DET
ejpam-5549	19	13	states	state	NOUN
ejpam-5549	19	14	of	of	ADP
ejpam-5549	19	15	all	all	DET
ejpam-5549	19	16	edges	edge	NOUN
ejpam-5549	19	17	in	in	ADP
ejpam-5549	19	18	the	the	DET
ejpam-5549	19	19	network	network	NOUN
ejpam-5549	19	20	to	to	PART
ejpam-5549	19	21	asymptotically	asymptotically	ADV
ejpam-5549	19	22	converge	converge	VERB
ejpam-5549	19	23	to	to	ADP
ejpam-5549	19	24	a	a	DET
ejpam-5549	19	25	common	common	ADJ
ejpam-5549	19	26	value	value	NOUN
ejpam-5549	19	27	or	or	CCONJ
ejpam-5549	19	28	consensus	consensus	NOUN
ejpam-5549	19	29	state	state	NOUN
ejpam-5549	19	30	through	through	ADP
ejpam-5549	19	31	interactions	interaction	NOUN
ejpam-5549	19	32	and	and	CCONJ
ejpam-5549	19	33	information	information	NOUN
ejpam-5549	19	34	exchange	exchange	NOUN
ejpam-5549	19	35	among	among	ADP
ejpam-5549	19	36	neighboring	neighboring	NOUN
ejpam-5549	19	37	edges	edge	NOUN
ejpam-5549	19	38	.	.	PUNCT
ejpam-5549	20	1	given	give	VERB
ejpam-5549	20	2	the	the	DET
ejpam-5549	20	3	significance	significance	NOUN
ejpam-5549	20	4	of	of	ADP
ejpam-5549	20	5	understanding	understanding	NOUN
ejpam-5549	20	6	and	and	CCONJ
ejpam-5549	20	7	achieving	achieve	VERB
ejpam-5549	20	8	consensus	consensus	NOUN
ejpam-5549	20	9	at	at	ADP
ejpam-5549	20	10	the	the	DET
ejpam-5549	20	11	edge	edge	NOUN
ejpam-5549	20	12	level	level	NOUN
ejpam-5549	20	13	for	for	ADP
ejpam-5549	20	14	applications	application	NOUN
ejpam-5549	20	15	such	such	ADJ
ejpam-5549	20	16	as	as	ADP
ejpam-5549	20	17	network	network	NOUN
ejpam-5549	20	18	communication	communication	NOUN
ejpam-5549	20	19	,	,	PUNCT
ejpam-5549	20	20	social	social	ADJ
ejpam-5549	20	21	networks	network	NOUN
ejpam-5549	20	22	,	,	PUNCT
ejpam-5549	20	23	and	and	CCONJ
ejpam-5549	20	24	distributed	distribute	VERB
ejpam-5549	20	25	control	control	NOUN
ejpam-5549	20	26	systems	system	NOUN
ejpam-5549	20	27	,	,	PUNCT
ejpam-5549	20	28	edge	edge	VERB
ejpam-5549	20	29	consensus	consensus	NOUN
ejpam-5549	20	30	problems	problem	NOUN
ejpam-5549	20	31	have	have	AUX
ejpam-5549	20	32	garnered	garner	VERB
ejpam-5549	20	33	considerable	considerable	ADJ
ejpam-5549	20	34	attention	attention	NOUN
ejpam-5549	20	35	in	in	ADP
ejpam-5549	20	36	scholarly	scholarly	ADJ
ejpam-5549	20	37	research	research	NOUN
ejpam-5549	20	38	in	in	ADP
ejpam-5549	20	39	recent	recent	ADJ
ejpam-5549	20	40	years	year	NOUN
ejpam-5549	20	41	(	(	PUNCT
ejpam-5549	20	42	see	see	VERB
ejpam-5549	20	43	example	example	NOUN
ejpam-5549	20	44	in	in	ADP
ejpam-5549	20	45	[	[	X
ejpam-5549	20	46	6	6	NUM
ejpam-5549	20	47	,	,	PUNCT
ejpam-5549	20	48	8	8	NUM
ejpam-5549	20	49	,	,	PUNCT
ejpam-5549	20	50	12	12	NUM
ejpam-5549	20	51	,	,	PUNCT
ejpam-5549	20	52	17	17	NUM
ejpam-5549	20	53	,	,	PUNCT
ejpam-5549	20	54	18	18	NUM
ejpam-5549	20	55	,	,	PUNCT
ejpam-5549	20	56	20	20	NUM
ejpam-5549	20	57	]	]	PUNCT
ejpam-5549	20	58	)	)	PUNCT
ejpam-5549	20	59	.	.	PUNCT
ejpam-5549	21	1	according	accord	VERB
ejpam-5549	21	2	to	to	ADP
ejpam-5549	21	3	the	the	DET
ejpam-5549	21	4	above	above	ADJ
ejpam-5549	21	5	discussion	discussion	NOUN
ejpam-5549	21	6	,	,	PUNCT
ejpam-5549	21	7	this	this	DET
ejpam-5549	21	8	paper	paper	NOUN
ejpam-5549	21	9	aims	aim	VERB
ejpam-5549	21	10	to	to	PART
ejpam-5549	21	11	investigate	investigate	VERB
ejpam-5549	21	12	scaled	scale	VERB
ejpam-5549	21	13	consensus	consensus	NOUN
ejpam-5549	21	14	problems	problem	NOUN
ejpam-5549	21	15	of	of	ADP
ejpam-5549	21	16	edge	edge	NOUN
ejpam-5549	21	17	dynamics	dynamic	NOUN
ejpam-5549	21	18	in	in	ADP
ejpam-5549	21	19	hybrid	hybrid	ADJ
ejpam-5549	21	20	multi	multi	ADJ
ejpam-5549	21	21	-	-	ADJ
ejpam-5549	21	22	agent	agent	ADJ
ejpam-5549	21	23	systems	system	NOUN
ejpam-5549	21	24	(	(	PUNCT
ejpam-5549	21	25	hmass	hmass	NOUN
ejpam-5549	21	26	)	)	PUNCT
ejpam-5549	21	27	under	under	ADP
ejpam-5549	21	28	both	both	CCONJ
ejpam-5549	21	29	directed	direct	VERB
ejpam-5549	21	30	and	and	CCONJ
ejpam-5549	21	31	undirected	undirected	ADJ
ejpam-5549	21	32	topologies	topology	NOUN
ejpam-5549	21	33	.	.	PUNCT
ejpam-5549	22	1	the	the	DET
ejpam-5549	22	2	main	main	ADJ
ejpam-5549	22	3	contributions	contribution	NOUN
ejpam-5549	22	4	of	of	ADP
ejpam-5549	22	5	the	the	DET
ejpam-5549	22	6	paper	paper	NOUN
ejpam-5549	22	7	include	include	VERB
ejpam-5549	22	8	:	:	PUNCT
ejpam-5549	22	9	(	(	PUNCT
ejpam-5549	22	10	1	1	X
ejpam-5549	22	11	)	)	PUNCT
ejpam-5549	22	12	exploration	exploration	NOUN
ejpam-5549	22	13	of	of	ADP
ejpam-5549	22	14	edge	edge	NOUN
ejpam-5549	22	15	dynamics	dynamic	NOUN
ejpam-5549	22	16	in	in	ADP
ejpam-5549	22	17	hmass	hmass	NOUN
ejpam-5549	22	18	:	:	PUNCT
ejpam-5549	22	19	the	the	DET
ejpam-5549	22	20	study	study	NOUN
ejpam-5549	22	21	extends	extend	VERB
ejpam-5549	22	22	the	the	DET
ejpam-5549	22	23	work	work	NOUN
ejpam-5549	22	24	of	of	ADP
ejpam-5549	22	25	zheng	zheng	PROPN
ejpam-5549	22	26	et	et	PROPN
ejpam-5549	22	27	al[23	al[23	PROPN
ejpam-5549	22	28	]	]	PUNCT
ejpam-5549	22	29	,	,	PUNCT
ejpam-5549	22	30	by	by	ADP
ejpam-5549	22	31	examining	examine	VERB
ejpam-5549	22	32	consensus	consensus	NOUN
ejpam-5549	22	33	problems	problem	NOUN
ejpam-5549	22	34	specifically	specifically	ADV
ejpam-5549	22	35	related	relate	VERB
ejpam-5549	22	36	to	to	AUX
ejpam-5549	22	37	edge	edge	VERB
ejpam-5549	22	38	dynamics	dynamic	NOUN
ejpam-5549	22	39	in	in	ADP
ejpam-5549	22	40	hmass	hmass	NOUN
ejpam-5549	22	41	,	,	PUNCT
ejpam-5549	22	42	which	which	PRON
ejpam-5549	22	43	consist	consist	VERB
ejpam-5549	22	44	of	of	ADP
ejpam-5549	22	45	both	both	CCONJ
ejpam-5549	22	46	continuous	continuous	ADJ
ejpam-5549	22	47	-	-	PUNCT
ejpam-5549	22	48	time	time	NOUN
ejpam-5549	22	49	and	and	CCONJ
ejpam-5549	22	50	discrete	discrete	ADJ
ejpam-5549	22	51	-	-	PUNCT
ejpam-5549	22	52	time	time	NOUN
ejpam-5549	22	53	agents	agent	NOUN
ejpam-5549	22	54	.	.	PUNCT
ejpam-5549	23	1	(	(	PUNCT
ejpam-5549	23	2	2	2	X
ejpam-5549	23	3	)	)	PUNCT
ejpam-5549	23	4	first	first	ADJ
ejpam-5549	23	5	investigation	investigation	NOUN
ejpam-5549	23	6	of	of	ADP
ejpam-5549	23	7	scaled	scaled	ADJ
ejpam-5549	23	8	consensus	consensus	NOUN
ejpam-5549	23	9	problems	problem	NOUN
ejpam-5549	23	10	:	:	PUNCT
ejpam-5549	23	11	this	this	DET
ejpam-5549	23	12	research	research	NOUN
ejpam-5549	23	13	is	be	AUX
ejpam-5549	23	14	the	the	DET
ejpam-5549	23	15	first	first	ADJ
ejpam-5549	23	16	to	to	PART
ejpam-5549	23	17	address	address	VERB
ejpam-5549	23	18	the	the	DET
ejpam-5549	23	19	scaled	scale	VERB
ejpam-5549	23	20	consensus	consensus	NOUN
ejpam-5549	23	21	problem	problem	NOUN
ejpam-5549	23	22	of	of	ADP
ejpam-5549	23	23	edge	edge	NOUN
ejpam-5549	23	24	dynamics	dynamic	NOUN
ejpam-5549	23	25	in	in	ADP
ejpam-5549	23	26	hmass	hmass	NOUN
ejpam-5549	23	27	,	,	PUNCT
ejpam-5549	23	28	providing	provide	VERB
ejpam-5549	23	29	new	new	ADJ
ejpam-5549	23	30	insights	insight	NOUN
ejpam-5549	23	31	into	into	ADP
ejpam-5549	23	32	how	how	SCONJ
ejpam-5549	23	33	edge	edge	NOUN
ejpam-5549	23	34	interactions	interaction	NOUN
ejpam-5549	23	35	can	can	AUX
ejpam-5549	23	36	be	be	AUX
ejpam-5549	23	37	managed	manage	VERB
ejpam-5549	23	38	to	to	PART
ejpam-5549	23	39	achieve	achieve	VERB
ejpam-5549	23	40	consensus	consensus	NOUN
ejpam-5549	23	41	.	.	PUNCT
ejpam-5549	24	1	(	(	PUNCT
ejpam-5549	24	2	3	3	X
ejpam-5549	24	3	)	)	PUNCT
ejpam-5549	24	4	theoretical	theoretical	ADJ
ejpam-5549	24	5	framework	framework	NOUN
ejpam-5549	24	6	for	for	ADP
ejpam-5549	24	7	edge	edge	NOUN
ejpam-5549	24	8	consensus	consensus	NOUN
ejpam-5549	24	9	:	:	PUNCT
ejpam-5549	24	10	the	the	DET
ejpam-5549	24	11	paper	paper	NOUN
ejpam-5549	24	12	develops	develop	VERB
ejpam-5549	24	13	a	a	DET
ejpam-5549	24	14	theoretical	theoretical	ADJ
ejpam-5549	24	15	framework	framework	NOUN
ejpam-5549	24	16	that	that	PRON
ejpam-5549	24	17	outlines	outline	VERB
ejpam-5549	24	18	the	the	DET
ejpam-5549	24	19	conditions	condition	NOUN
ejpam-5549	24	20	necessary	necessary	ADJ
ejpam-5549	24	21	for	for	ADP
ejpam-5549	24	22	achieving	achieve	VERB
ejpam-5549	24	23	edge	edge	NOUN
ejpam-5549	24	24	consensus	consensus	NOUN
ejpam-5549	24	25	in	in	ADP
ejpam-5549	24	26	both	both	DET
ejpam-5549	24	27	directed	direct	VERB
ejpam-5549	24	28	and	and	CCONJ
ejpam-5549	24	29	undirected	undirected	ADJ
ejpam-5549	24	30	topologies	topology	NOUN
ejpam-5549	24	31	,	,	PUNCT
ejpam-5549	24	32	contributing	contribute	VERB
ejpam-5549	24	33	to	to	ADP
ejpam-5549	24	34	the	the	DET
ejpam-5549	24	35	understanding	understanding	NOUN
ejpam-5549	24	36	of	of	ADP
ejpam-5549	24	37	how	how	SCONJ
ejpam-5549	24	38	edge	edge	NOUN
ejpam-5549	24	39	dynamics	dynamic	NOUN
ejpam-5549	24	40	operate	operate	VERB
ejpam-5549	24	41	within	within	ADP
ejpam-5549	24	42	multi	multi	ADJ
ejpam-5549	24	43	-	-	ADJ
ejpam-5549	24	44	agent	agent	ADJ
ejpam-5549	24	45	systems	system	NOUN
ejpam-5549	24	46	.	.	PUNCT
ejpam-5549	25	1	(	(	PUNCT
ejpam-5549	25	2	4	4	X
ejpam-5549	25	3	)	)	PUNCT
ejpam-5549	25	4	applications	application	NOUN
ejpam-5549	25	5	to	to	ADP
ejpam-5549	25	6	real	real	ADJ
ejpam-5549	25	7	-	-	PUNCT
ejpam-5549	25	8	world	world	NOUN
ejpam-5549	25	9	scenarios	scenario	NOUN
ejpam-5549	25	10	:	:	PUNCT
ejpam-5549	25	11	by	by	ADP
ejpam-5549	25	12	focusing	focus	VERB
ejpam-5549	25	13	on	on	ADP
ejpam-5549	25	14	edge	edge	NOUN
ejpam-5549	25	15	dynamics	dynamic	NOUN
ejpam-5549	25	16	,	,	PUNCT
ejpam-5549	25	17	the	the	DET
ejpam-5549	25	18	research	research	NOUN
ejpam-5549	25	19	highlights	highlight	VERB
ejpam-5549	25	20	the	the	DET
ejpam-5549	25	21	relevance	relevance	NOUN
ejpam-5549	25	22	of	of	ADP
ejpam-5549	25	23	consensus	consensus	NOUN
ejpam-5549	25	24	in	in	ADP
ejpam-5549	25	25	practical	practical	ADJ
ejpam-5549	25	26	applications	application	NOUN
ejpam-5549	25	27	such	such	ADJ
ejpam-5549	25	28	as	as	ADP
ejpam-5549	25	29	network	network	NOUN
ejpam-5549	25	30	communication	communication	NOUN
ejpam-5549	25	31	and	and	CCONJ
ejpam-5549	25	32	distributed	distribute	VERB
ejpam-5549	25	33	control	control	NOUN
ejpam-5549	25	34	systems	system	NOUN
ejpam-5549	25	35	,	,	PUNCT
ejpam-5549	25	36	emphasizing	emphasize	VERB
ejpam-5549	25	37	the	the	DET
ejpam-5549	25	38	need	need	NOUN
ejpam-5549	25	39	for	for	ADP
ejpam-5549	25	40	algorithms	algorithm	NOUN
ejpam-5549	25	41	that	that	PRON
ejpam-5549	25	42	consider	consider	VERB
ejpam-5549	25	43	both	both	PRON
ejpam-5549	25	44	node	node	NOUN
ejpam-5549	25	45	and	and	CCONJ
ejpam-5549	25	46	edge	edge	VERB
ejpam-5549	25	47	interactions	interaction	NOUN
ejpam-5549	25	48	.	.	PUNCT
ejpam-5549	26	1	(	(	PUNCT
ejpam-5549	26	2	5	5	X
ejpam-5549	26	3	)	)	PUNCT
ejpam-5549	26	4	numerical	numerical	ADJ
ejpam-5549	26	5	simulations	simulation	NOUN
ejpam-5549	26	6	:	:	PUNCT
ejpam-5549	26	7	the	the	DET
ejpam-5549	26	8	paper	paper	NOUN
ejpam-5549	26	9	includes	include	VERB
ejpam-5549	26	10	numerical	numerical	ADJ
ejpam-5549	26	11	simulations	simulation	NOUN
ejpam-5549	26	12	to	to	PART
ejpam-5549	26	13	validate	validate	VERB
ejpam-5549	26	14	the	the	DET
ejpam-5549	26	15	proposed	propose	VERB
ejpam-5549	26	16	edge	edge	NOUN
ejpam-5549	26	17	consensus	consensus	NOUN
ejpam-5549	26	18	protocols	protocol	NOUN
ejpam-5549	26	19	,	,	PUNCT
ejpam-5549	26	20	demonstrating	demonstrate	VERB
ejpam-5549	26	21	their	their	PRON
ejpam-5549	26	22	effectiveness	effectiveness	NOUN
ejpam-5549	26	23	in	in	ADP
ejpam-5549	26	24	achieving	achieve	VERB
ejpam-5549	26	25	consensus	consensus	NOUN
ejpam-5549	26	26	in	in	ADP
ejpam-5549	26	27	various	various	ADJ
ejpam-5549	26	28	scenarios	scenario	NOUN
ejpam-5549	26	29	and	and	CCONJ
ejpam-5549	26	30	reinforcing	reinforce	VERB
ejpam-5549	26	31	the	the	DET
ejpam-5549	26	32	theoretical	theoretical	ADJ
ejpam-5549	26	33	findings	finding	NOUN
ejpam-5549	26	34	.	.	PUNCT
ejpam-5549	27	1	these	these	DET
ejpam-5549	27	2	contributions	contribution	NOUN
ejpam-5549	27	3	collectively	collectively	ADV
ejpam-5549	27	4	advance	advance	VERB
ejpam-5549	27	5	the	the	DET
ejpam-5549	27	6	understanding	understanding	NOUN
ejpam-5549	27	7	of	of	ADP
ejpam-5549	27	8	consensus	consensus	NOUN
ejpam-5549	27	9	in	in	ADP
ejpam-5549	27	10	multi	multi	ADJ
ejpam-5549	27	11	-	-	ADJ
ejpam-5549	27	12	agent	agent	ADJ
ejpam-5549	27	13	systems	system	NOUN
ejpam-5549	27	14	by	by	ADP
ejpam-5549	27	15	integrating	integrate	VERB
ejpam-5549	27	16	edge	edge	NOUN
ejpam-5549	27	17	dynamics	dynamic	NOUN
ejpam-5549	27	18	into	into	ADP
ejpam-5549	27	19	the	the	DET
ejpam-5549	27	20	analysis	analysis	NOUN
ejpam-5549	27	21	,	,	PUNCT
ejpam-5549	27	22	thereby	thereby	ADV
ejpam-5549	27	23	enhancing	enhance	VERB
ejpam-5549	27	24	the	the	DET
ejpam-5549	27	25	potential	potential	NOUN
ejpam-5549	27	26	for	for	ADP
ejpam-5549	27	27	practical	practical	ADJ
ejpam-5549	27	28	applications	application	NOUN
ejpam-5549	27	29	in	in	ADP
ejpam-5549	27	30	complex	complex	ADJ
ejpam-5549	27	31	networks	network	NOUN
ejpam-5549	27	32	.	.	PUNCT
ejpam-5549	28	1	the	the	DET
ejpam-5549	28	2	rest	rest	NOUN
ejpam-5549	28	3	of	of	ADP
ejpam-5549	28	4	this	this	DET
ejpam-5549	28	5	paper	paper	NOUN
ejpam-5549	28	6	is	be	AUX
ejpam-5549	28	7	organized	organize	VERB
ejpam-5549	28	8	as	as	SCONJ
ejpam-5549	28	9	follows	follow	VERB
ejpam-5549	28	10	.	.	PUNCT
ejpam-5549	29	1	some	some	DET
ejpam-5549	29	2	preliminaries	preliminary	NOUN
ejpam-5549	29	3	and	and	CCONJ
ejpam-5549	29	4	the	the	DET
ejpam-5549	29	5	problem	problem	NOUN
ejpam-5549	29	6	formulation	formulation	NOUN
ejpam-5549	29	7	are	be	AUX
ejpam-5549	29	8	provided	provide	VERB
ejpam-5549	29	9	in	in	ADP
ejpam-5549	29	10	section	section	NOUN
ejpam-5549	29	11	2	2	NUM
ejpam-5549	29	12	.	.	PUNCT
ejpam-5549	30	1	in	in	ADP
ejpam-5549	30	2	section	section	NOUN
ejpam-5549	30	3	3	3	NUM
ejpam-5549	30	4	,	,	PUNCT
ejpam-5549	30	5	the	the	DET
ejpam-5549	30	6	scaled	scale	VERB
ejpam-5549	30	7	consensus	consensus	NOUN
ejpam-5549	30	8	problems	problem	NOUN
ejpam-5549	30	9	of	of	ADP
ejpam-5549	30	10	edge	edge	NOUN
ejpam-5549	30	11	dynamics	dynamic	NOUN
ejpam-5549	30	12	in	in	ADP
ejpam-5549	30	13	hmass	hmass	NOUN
ejpam-5549	30	14	under	under	ADP
ejpam-5549	30	15	directed	direct	VERB
ejpam-5549	30	16	and	and	CCONJ
ejpam-5549	30	17	undirected	undirected	ADJ
ejpam-5549	30	18	topology	topology	NOUN
ejpam-5549	30	19	are	be	AUX
ejpam-5549	30	20	solved	solve	VERB
ejpam-5549	30	21	under	under	ADP
ejpam-5549	30	22	some	some	DET
ejpam-5549	30	23	necessary	necessary	ADJ
ejpam-5549	30	24	and	and	CCONJ
ejpam-5549	30	25	sufficient	sufficient	ADJ
ejpam-5549	30	26	conditions	condition	NOUN
ejpam-5549	30	27	.	.	PUNCT
ejpam-5549	31	1	in	in	ADP
ejpam-5549	31	2	section	section	NOUN
ejpam-5549	31	3	4	4	NUM
ejpam-5549	31	4	,	,	PUNCT
ejpam-5549	31	5	numerical	numerical	ADJ
ejpam-5549	31	6	examples	example	NOUN
ejpam-5549	31	7	are	be	AUX
ejpam-5549	31	8	provided	provide	VERB
ejpam-5549	31	9	to	to	PART
ejpam-5549	31	10	demonstrate	demonstrate	VERB
ejpam-5549	31	11	the	the	DET
ejpam-5549	31	12	effectiveness	effectiveness	NOUN
ejpam-5549	31	13	of	of	ADP
ejpam-5549	31	14	our	our	PRON
ejpam-5549	31	15	main	main	ADJ
ejpam-5549	31	16	results	result	NOUN
ejpam-5549	31	17	.	.	PUNCT
ejpam-5549	32	1	finally	finally	ADV
ejpam-5549	32	2	,	,	PUNCT
ejpam-5549	32	3	some	some	DET
ejpam-5549	32	4	conclusions	conclusion	NOUN
ejpam-5549	32	5	are	be	AUX
ejpam-5549	32	6	drawn	draw	VERB
ejpam-5549	32	7	in	in	ADP
ejpam-5549	32	8	section	section	NOUN
ejpam-5549	32	9	5	5	NUM
ejpam-5549	32	10	.	.	PUNCT
ejpam-5549	33	1	c.	c.	PROPN
ejpam-5549	33	2	park	park	PROPN
ejpam-5549	33	3	,	,	PUNCT
ejpam-5549	33	4	s.	s.	PROPN
ejpam-5549	33	5	donganont	donganont	PROPN
ejpam-5549	33	6	and	and	CCONJ
ejpam-5549	33	7	m.	m.	PROPN
ejpam-5549	33	8	donganont	donganont	PROPN
ejpam-5549	33	9	/	/	SYM
ejpam-5549	33	10	eur	eur	PROPN
ejpam-5549	33	11	.	.	PUNCT
ejpam-5549	34	1	j.	j.	PROPN
ejpam-5549	34	2	pure	pure	PROPN
ejpam-5549	34	3	appl	appl	PROPN
ejpam-5549	34	4	.	.	PROPN
ejpam-5549	34	5	math	math	PROPN
ejpam-5549	34	6	,	,	PUNCT
ejpam-5549	34	7	18	18	NUM
ejpam-5549	34	8	(	(	PUNCT
ejpam-5549	34	9	1	1	NUM
ejpam-5549	34	10	)	)	PUNCT
ejpam-5549	34	11	(	(	PUNCT
ejpam-5549	34	12	2025	2025	NUM
ejpam-5549	34	13	)	)	PUNCT
ejpam-5549	34	14	,	,	PUNCT
ejpam-5549	34	15	5549	5549	NUM
ejpam-5549	34	16	3	3	NUM
ejpam-5549	34	17	of	of	ADP
ejpam-5549	34	18	16	16	NUM
ejpam-5549	34	19	2	2	NUM
ejpam-5549	34	20	.	.	PUNCT
ejpam-5549	34	21	preliminaries	preliminary	NOUN
ejpam-5549	34	22	and	and	CCONJ
ejpam-5549	34	23	problem	problem	NOUN
ejpam-5549	34	24	formulations	formulation	NOUN
ejpam-5549	34	25	2.1	2.1	NUM
ejpam-5549	34	26	.	.	PUNCT
ejpam-5549	35	1	preliminaries	preliminary	NOUN
ejpam-5549	35	2	this	this	DET
ejpam-5549	35	3	section	section	NOUN
ejpam-5549	35	4	articulates	articulate	VERB
ejpam-5549	35	5	fundamental	fundamental	ADJ
ejpam-5549	35	6	definitions	definition	NOUN
ejpam-5549	35	7	,	,	PUNCT
ejpam-5549	35	8	lemmas	lemmas	ADJ
ejpam-5549	35	9	,	,	PUNCT
ejpam-5549	35	10	and	and	CCONJ
ejpam-5549	35	11	notations	notation	NOUN
ejpam-5549	35	12	derived	derive	VERB
ejpam-5549	35	13	from	from	ADP
ejpam-5549	35	14	graph	graph	NOUN
ejpam-5549	35	15	theory	theory	NOUN
ejpam-5549	35	16	and	and	CCONJ
ejpam-5549	35	17	matrix	matrix	NOUN
ejpam-5549	35	18	theory	theory	NOUN
ejpam-5549	35	19	that	that	PRON
ejpam-5549	35	20	are	be	AUX
ejpam-5549	35	21	pivotal	pivotal	ADJ
ejpam-5549	35	22	for	for	ADP
ejpam-5549	35	23	the	the	DET
ejpam-5549	35	24	formulation	formulation	NOUN
ejpam-5549	35	25	of	of	ADP
ejpam-5549	35	26	our	our	PRON
ejpam-5549	35	27	principal	principal	ADJ
ejpam-5549	35	28	findings	finding	NOUN
ejpam-5549	35	29	(	(	PUNCT
ejpam-5549	35	30	for	for	ADP
ejpam-5549	35	31	comprehensive	comprehensive	ADJ
ejpam-5549	35	32	details	detail	NOUN
ejpam-5549	35	33	,	,	PUNCT
ejpam-5549	35	34	refer	refer	VERB
ejpam-5549	35	35	to[2	to[2	PROPN
ejpam-5549	35	36	,	,	PUNCT
ejpam-5549	35	37	7	7	NUM
ejpam-5549	35	38	]	]	NUM
ejpam-5549	35	39	)	)	PUNCT
ejpam-5549	35	40	.	.	PUNCT
ejpam-5549	36	1	in	in	ADP
ejpam-5549	36	2	the	the	DET
ejpam-5549	36	3	context	context	NOUN
ejpam-5549	36	4	of	of	ADP
ejpam-5549	36	5	this	this	DET
ejpam-5549	36	6	paper	paper	NOUN
ejpam-5549	36	7	,	,	PUNCT
ejpam-5549	36	8	the	the	DET
ejpam-5549	36	9	set	set	NOUN
ejpam-5549	36	10	of	of	ADP
ejpam-5549	36	11	real	real	ADJ
ejpam-5549	36	12	numbers	number	NOUN
ejpam-5549	36	13	is	be	AUX
ejpam-5549	36	14	denoted	denote	VERB
ejpam-5549	36	15	by	by	ADP
ejpam-5549	36	16	r	r	NOUN
ejpam-5549	36	17	,	,	PUNCT
ejpam-5549	36	18	the	the	DET
ejpam-5549	36	19	set	set	NOUN
ejpam-5549	36	20	of	of	ADP
ejpam-5549	36	21	positive	positive	ADJ
ejpam-5549	36	22	integers	integer	NOUN
ejpam-5549	36	23	by	by	ADP
ejpam-5549	36	24	n	n	CCONJ
ejpam-5549	36	25	,	,	PUNCT
ejpam-5549	36	26	and	and	CCONJ
ejpam-5549	36	27	the	the	DET
ejpam-5549	36	28	n	n	CCONJ
ejpam-5549	36	29	-	-	PUNCT
ejpam-5549	36	30	dimensional	dimensional	ADJ
ejpam-5549	36	31	real	real	ADJ
ejpam-5549	36	32	vector	vector	NOUN
ejpam-5549	36	33	space	space	NOUN
ejpam-5549	36	34	by	by	ADP
ejpam-5549	36	35	rn	rn	PROPN
ejpam-5549	36	36	.	.	PUNCT
ejpam-5549	37	1	furthermore	furthermore	ADV
ejpam-5549	37	2	,	,	PUNCT
ejpam-5549	37	3	rn×n	rn×n	PROPN
ejpam-5549	37	4	signifies	signify	VERB
ejpam-5549	37	5	the	the	DET
ejpam-5549	37	6	collection	collection	NOUN
ejpam-5549	37	7	of	of	ADP
ejpam-5549	37	8	n×	n×	PRON
ejpam-5549	37	9	n	n	PRON
ejpam-5549	37	10	matrices	matrix	NOUN
ejpam-5549	37	11	.	.	PUNCT
ejpam-5549	38	1	for	for	ADP
ejpam-5549	38	2	a	a	DET
ejpam-5549	38	3	matrix	matrix	NOUN
ejpam-5549	38	4	a	a	PRON
ejpam-5549	38	5	=	=	X
ejpam-5549	39	1	[	[	X
ejpam-5549	39	2	aij	aij	X
ejpam-5549	39	3	]	]	PUNCT
ejpam-5549	39	4	n×n	n×n	PROPN
ejpam-5549	39	5	∈	∈	PROPN
ejpam-5549	39	6	rn×n	rn×n	NOUN
ejpam-5549	39	7	,	,	PUNCT
ejpam-5549	39	8	the	the	DET
ejpam-5549	39	9	notation	notation	NOUN
ejpam-5549	39	10	at	at	ADP
ejpam-5549	39	11	represents	represent	VERB
ejpam-5549	39	12	its	its	PRON
ejpam-5549	39	13	transpose	transpose	NOUN
ejpam-5549	39	14	.	.	PUNCT
ejpam-5549	40	1	a	a	DET
ejpam-5549	40	2	matrix	matrix	NOUN
ejpam-5549	40	3	a	a	PRON
ejpam-5549	41	1	=	=	X
ejpam-5549	42	1	[	[	X
ejpam-5549	42	2	aij	aij	X
ejpam-5549	42	3	]	]	X
ejpam-5549	42	4	n×n	n×n	PROPN
ejpam-5549	42	5	is	be	AUX
ejpam-5549	42	6	classified	classify	VERB
ejpam-5549	42	7	as	as	ADP
ejpam-5549	42	8	nonnegative	nonnegative	ADJ
ejpam-5549	42	9	if	if	SCONJ
ejpam-5549	42	10	all	all	DET
ejpam-5549	42	11	its	its	PRON
ejpam-5549	42	12	elements	element	NOUN
ejpam-5549	42	13	are	be	AUX
ejpam-5549	42	14	nonnegative	nonnegative	ADJ
ejpam-5549	42	15	,	,	PUNCT
ejpam-5549	42	16	which	which	PRON
ejpam-5549	42	17	is	be	AUX
ejpam-5549	42	18	denoted	denote	VERB
ejpam-5549	42	19	as	as	ADP
ejpam-5549	42	20	a	a	DET
ejpam-5549	42	21	≥	≥	NOUN
ejpam-5549	42	22	0	0	NUM
ejpam-5549	42	23	.	.	PUNCT
ejpam-5549	43	1	if	if	SCONJ
ejpam-5549	43	2	a	a	PRON
ejpam-5549	43	3	and	and	CCONJ
ejpam-5549	43	4	b	b	NOUN
ejpam-5549	43	5	are	be	AUX
ejpam-5549	43	6	nonnegative	nonnegative	ADJ
ejpam-5549	43	7	matrices	matrix	NOUN
ejpam-5549	43	8	,	,	PUNCT
ejpam-5549	43	9	the	the	DET
ejpam-5549	43	10	relation	relation	NOUN
ejpam-5549	43	11	a	a	DET
ejpam-5549	43	12	≥	≥	NOUN
ejpam-5549	43	13	b	b	PROPN
ejpam-5549	43	14	implies	imply	VERB
ejpam-5549	43	15	that	that	SCONJ
ejpam-5549	43	16	the	the	DET
ejpam-5549	43	17	matrix	matrix	NOUN
ejpam-5549	43	18	a	a	DET
ejpam-5549	43	19	−	−	PROPN
ejpam-5549	43	20	b	b	PROPN
ejpam-5549	43	21	is	be	AUX
ejpam-5549	43	22	also	also	ADV
ejpam-5549	43	23	nonnegative	nonnegative	ADJ
ejpam-5549	43	24	.	.	PUNCT
ejpam-5549	44	1	a	a	DET
ejpam-5549	44	2	matrix	matrix	NOUN
ejpam-5549	44	3	p	p	NOUN
ejpam-5549	44	4	is	be	AUX
ejpam-5549	44	5	characterized	characterize	VERB
ejpam-5549	44	6	as	as	ADP
ejpam-5549	44	7	a	a	DET
ejpam-5549	44	8	stochastic	stochastic	ADJ
ejpam-5549	44	9	matrix	matrix	NOUN
ejpam-5549	44	10	if	if	SCONJ
ejpam-5549	44	11	it	it	PRON
ejpam-5549	44	12	is	be	AUX
ejpam-5549	44	13	nonnegative	nonnegative	ADJ
ejpam-5549	44	14	and	and	CCONJ
ejpam-5549	44	15	the	the	DET
ejpam-5549	44	16	sum	sum	NOUN
ejpam-5549	44	17	of	of	ADP
ejpam-5549	44	18	each	each	PRON
ejpam-5549	44	19	of	of	ADP
ejpam-5549	44	20	its	its	PRON
ejpam-5549	44	21	rows	row	NOUN
ejpam-5549	44	22	equals	equal	VERB
ejpam-5549	44	23	1	1	NUM
ejpam-5549	44	24	.	.	PUNCT
ejpam-5549	45	1	moreover	moreover	ADV
ejpam-5549	45	2	,	,	PUNCT
ejpam-5549	45	3	a	a	DET
ejpam-5549	45	4	stochastic	stochastic	ADJ
ejpam-5549	45	5	matrix	matrix	NOUN
ejpam-5549	45	6	p	p	NOUN
ejpam-5549	45	7	is	be	AUX
ejpam-5549	45	8	deemed	deem	VERB
ejpam-5549	45	9	indecomposable	indecomposable	ADJ
ejpam-5549	45	10	and	and	CCONJ
ejpam-5549	45	11	aperiodic	aperiodic	ADJ
ejpam-5549	45	12	(	(	PUNCT
ejpam-5549	45	13	sia	sia	PROPN
ejpam-5549	45	14	)	)	PUNCT
ejpam-5549	45	15	if	if	SCONJ
ejpam-5549	45	16	there	there	PRON
ejpam-5549	45	17	exists	exist	VERB
ejpam-5549	45	18	a	a	DET
ejpam-5549	45	19	column	column	NOUN
ejpam-5549	45	20	vector	vector	NOUN
ejpam-5549	45	21	y	y	PROPN
ejpam-5549	45	22	such	such	ADJ
ejpam-5549	45	23	that	that	SCONJ
ejpam-5549	45	24	limk→∞	limk→∞	PROPN
ejpam-5549	45	25	p	p	X
ejpam-5549	45	26	k	k	NOUN
ejpam-5549	45	27	=	=	PUNCT
ejpam-5549	45	28	1ny	1ny	ADJ
ejpam-5549	45	29	t	t	NOUN
ejpam-5549	45	30	,	,	PUNCT
ejpam-5549	45	31	where	where	SCONJ
ejpam-5549	45	32	1n	1n	NOUN
ejpam-5549	45	33	=	=	SYM
ejpam-5549	45	34	(	(	PUNCT
ejpam-5549	45	35	1	1	NUM
ejpam-5549	45	36	,	,	PUNCT
ejpam-5549	45	37	1	1	NUM
ejpam-5549	45	38	,	,	PUNCT
ejpam-5549	45	39	.	.	PUNCT
ejpam-5549	45	40	.	.	PUNCT
ejpam-5549	46	1	.	.	PUNCT
ejpam-5549	47	1	,	,	PUNCT
ejpam-5549	47	2	1)t	1)t	PROPN
ejpam-5549	47	3	is	be	AUX
ejpam-5549	47	4	an	an	DET
ejpam-5549	47	5	n×	n×	PROPN
ejpam-5549	47	6	1	1	NUM
ejpam-5549	47	7	vector	vector	NOUN
ejpam-5549	47	8	.	.	PUNCT
ejpam-5549	48	1	before	before	ADP
ejpam-5549	48	2	proceeding	proceeding	NOUN
ejpam-5549	48	3	,	,	PUNCT
ejpam-5549	48	4	we	we	PRON
ejpam-5549	48	5	present	present	VERB
ejpam-5549	48	6	several	several	ADJ
ejpam-5549	48	7	essential	essential	ADJ
ejpam-5549	48	8	definitions	definition	NOUN
ejpam-5549	48	9	,	,	PUNCT
ejpam-5549	48	10	lemmas	lemmas	ADJ
ejpam-5549	48	11	,	,	PUNCT
ejpam-5549	48	12	and	and	CCONJ
ejpam-5549	48	13	properties	property	NOUN
ejpam-5549	48	14	as	as	SCONJ
ejpam-5549	48	15	follows	follow	VERB
ejpam-5549	48	16	:	:	PUNCT
ejpam-5549	48	17	lemma	lemma	PROPN
ejpam-5549	48	18	1	1	NUM
ejpam-5549	48	19	.	.	PUNCT
ejpam-5549	49	1	[	[	X
ejpam-5549	49	2	3	3	X
ejpam-5549	49	3	]	]	X
ejpam-5549	49	4	if	if	SCONJ
ejpam-5549	49	5	g	g	PROPN
ejpam-5549	49	6	is	be	AUX
ejpam-5549	49	7	a	a	DET
ejpam-5549	49	8	connected	connected	ADJ
ejpam-5549	49	9	graph	graph	NOUN
ejpam-5549	49	10	,	,	PUNCT
ejpam-5549	49	11	then	then	ADV
ejpam-5549	49	12	the	the	DET
ejpam-5549	49	13	line	line	NOUN
ejpam-5549	49	14	graph	graph	NOUN
ejpam-5549	49	15	of	of	ADP
ejpam-5549	49	16	g	g	NOUN
ejpam-5549	49	17	,	,	PUNCT
ejpam-5549	49	18	denoted	denote	VERB
ejpam-5549	49	19	l(g	l(g	NOUN
ejpam-5549	49	20	)	)	PUNCT
ejpam-5549	49	21	,	,	PUNCT
ejpam-5549	49	22	is	be	AUX
ejpam-5549	49	23	also	also	ADV
ejpam-5549	49	24	connected	connect	VERB
ejpam-5549	49	25	.	.	PUNCT
ejpam-5549	50	1	lemma	lemma	PROPN
ejpam-5549	50	2	2	2	NUM
ejpam-5549	50	3	.	.	PUNCT
ejpam-5549	51	1	[	[	X
ejpam-5549	51	2	2	2	X
ejpam-5549	51	3	]	]	X
ejpam-5549	51	4	let	let	AUX
ejpam-5549	51	5	l	l	NOUN
ejpam-5549	51	6	represent	represent	VERB
ejpam-5549	51	7	the	the	DET
ejpam-5549	51	8	laplacian	laplacian	ADJ
ejpam-5549	51	9	matrix	matrix	NOUN
ejpam-5549	51	10	of	of	ADP
ejpam-5549	51	11	an	an	DET
ejpam-5549	51	12	undirected	undirected	ADJ
ejpam-5549	51	13	graph	graph	NOUN
ejpam-5549	51	14	g.	g.	NOUN
ejpam-5549	51	15	the	the	DET
ejpam-5549	51	16	laplacian	laplacian	ADJ
ejpam-5549	51	17	matrix	matrix	NOUN
ejpam-5549	51	18	l	l	NOUN
ejpam-5549	51	19	is	be	AUX
ejpam-5549	51	20	irreducible	irreducible	ADJ
ejpam-5549	51	21	if	if	SCONJ
ejpam-5549	51	22	and	and	CCONJ
ejpam-5549	51	23	only	only	ADV
ejpam-5549	51	24	if	if	SCONJ
ejpam-5549	51	25	g	g	PROPN
ejpam-5549	51	26	is	be	AUX
ejpam-5549	51	27	connected	connect	VERB
ejpam-5549	51	28	.	.	PUNCT
ejpam-5549	52	1	lemma	lemma	PROPN
ejpam-5549	52	2	3	3	X
ejpam-5549	52	3	.	.	PUNCT
ejpam-5549	53	1	[	[	X
ejpam-5549	53	2	5	5	X
ejpam-5549	53	3	]	]	PUNCT
ejpam-5549	53	4	if	if	SCONJ
ejpam-5549	53	5	a	a	DET
ejpam-5549	53	6	directed	direct	VERB
ejpam-5549	53	7	graph	graph	NOUN
ejpam-5549	53	8	g	g	NOUN
ejpam-5549	53	9	contains	contain	VERB
ejpam-5549	53	10	more	more	ADJ
ejpam-5549	53	11	than	than	ADP
ejpam-5549	53	12	one	one	NUM
ejpam-5549	53	13	vertex	vertex	NOUN
ejpam-5549	53	14	and	and	CCONJ
ejpam-5549	53	15	is	be	AUX
ejpam-5549	53	16	strongly	strongly	ADV
ejpam-5549	53	17	connected	connect	VERB
ejpam-5549	53	18	,	,	PUNCT
ejpam-5549	53	19	then	then	ADV
ejpam-5549	53	20	its	its	PRON
ejpam-5549	53	21	line	line	NOUN
ejpam-5549	53	22	graph	graph	NOUN
ejpam-5549	53	23	l(g	l(g	PROPN
ejpam-5549	53	24	)	)	PUNCT
ejpam-5549	53	25	is	be	AUX
ejpam-5549	53	26	strongly	strongly	ADV
ejpam-5549	53	27	connected	connect	VERB
ejpam-5549	53	28	.	.	PUNCT
ejpam-5549	54	1	lemma	lemma	PROPN
ejpam-5549	54	2	4	4	NUM
ejpam-5549	54	3	.	.	PUNCT
ejpam-5549	55	1	[	[	X
ejpam-5549	55	2	14	14	NUM
ejpam-5549	55	3	]	]	X
ejpam-5549	55	4	a	a	DET
ejpam-5549	55	5	stochastic	stochastic	ADJ
ejpam-5549	55	6	matrix	matrix	NOUN
ejpam-5549	55	7	possesses	possess	VERB
ejpam-5549	55	8	an	an	DET
ejpam-5549	55	9	algebraic	algebraic	ADJ
ejpam-5549	55	10	multiplicity	multiplicity	NOUN
ejpam-5549	55	11	of	of	ADP
ejpam-5549	55	12	one	one	NUM
ejpam-5549	55	13	for	for	ADP
ejpam-5549	55	14	the	the	DET
ejpam-5549	55	15	eigenvalue	eigenvalue	PROPN
ejpam-5549	55	16	λ	λ	NOUN
ejpam-5549	55	17	=	=	SYM
ejpam-5549	55	18	1	1	NUM
ejpam-5549	55	19	if	if	SCONJ
ejpam-5549	55	20	and	and	CCONJ
ejpam-5549	55	21	only	only	ADV
ejpam-5549	55	22	if	if	SCONJ
ejpam-5549	55	23	the	the	DET
ejpam-5549	55	24	graph	graph	NOUN
ejpam-5549	55	25	associated	associate	VERB
ejpam-5549	55	26	with	with	ADP
ejpam-5549	55	27	the	the	DET
ejpam-5549	55	28	matrix	matrix	NOUN
ejpam-5549	55	29	contains	contain	VERB
ejpam-5549	55	30	a	a	DET
ejpam-5549	55	31	spanning	span	VERB
ejpam-5549	55	32	tree	tree	NOUN
ejpam-5549	55	33	.	.	PUNCT
ejpam-5549	56	1	furthermore	furthermore	ADV
ejpam-5549	56	2	,	,	PUNCT
ejpam-5549	56	3	a	a	DET
ejpam-5549	56	4	stochastic	stochastic	ADJ
ejpam-5549	56	5	matrix	matrix	NOUN
ejpam-5549	56	6	with	with	ADP
ejpam-5549	56	7	positive	positive	ADJ
ejpam-5549	56	8	diagonal	diagonal	ADJ
ejpam-5549	56	9	elements	element	NOUN
ejpam-5549	56	10	guarantees	guarantee	VERB
ejpam-5549	56	11	that	that	SCONJ
ejpam-5549	56	12	|λ|	|λ|	PROPN
ejpam-5549	56	13	<	<	X
ejpam-5549	56	14	1	1	NUM
ejpam-5549	56	15	for	for	ADP
ejpam-5549	56	16	every	every	DET
ejpam-5549	56	17	eigenvalue	eigenvalue	NOUN
ejpam-5549	56	18	other	other	ADJ
ejpam-5549	56	19	than	than	ADP
ejpam-5549	56	20	one	one	NUM
ejpam-5549	56	21	.	.	PUNCT
ejpam-5549	57	1	lemma	lemma	PROPN
ejpam-5549	57	2	5	5	NUM
ejpam-5549	57	3	.	.	PUNCT
ejpam-5549	58	1	[	[	X
ejpam-5549	58	2	14	14	NUM
ejpam-5549	58	3	]	]	PUNCT
ejpam-5549	58	4	let	let	VERB
ejpam-5549	58	5	a	a	PRON
ejpam-5549	58	6	=	=	PUNCT
ejpam-5549	59	1	[	[	X
ejpam-5549	59	2	aij	aij	X
ejpam-5549	59	3	]	]	PUNCT
ejpam-5549	59	4	n×n	n×n	PROPN
ejpam-5549	59	5	be	be	AUX
ejpam-5549	59	6	a	a	DET
ejpam-5549	59	7	stochastic	stochastic	ADJ
ejpam-5549	59	8	matrix	matrix	NOUN
ejpam-5549	59	9	.	.	PUNCT
ejpam-5549	60	1	if	if	SCONJ
ejpam-5549	60	2	a	a	PRON
ejpam-5549	60	3	has	have	VERB
ejpam-5549	60	4	an	an	DET
ejpam-5549	60	5	eigenvalue	eigenvalue	ADJ
ejpam-5549	60	6	λ	λ	NOUN
ejpam-5549	60	7	=	=	NOUN
ejpam-5549	60	8	1	1	NUM
ejpam-5549	60	9	with	with	ADP
ejpam-5549	60	10	algebraic	algebraic	ADJ
ejpam-5549	60	11	multiplicity	multiplicity	NOUN
ejpam-5549	60	12	equal	equal	ADJ
ejpam-5549	60	13	to	to	ADP
ejpam-5549	60	14	one	one	NUM
ejpam-5549	60	15	,	,	PUNCT
ejpam-5549	60	16	and	and	CCONJ
ejpam-5549	60	17	all	all	DET
ejpam-5549	60	18	other	other	ADJ
ejpam-5549	60	19	eigenvalues	eigenvalue	VERB
ejpam-5549	60	20	satisfy	satisfy	PROPN
ejpam-5549	60	21	|λ|	|λ|	PROPN
ejpam-5549	60	22	<	<	X
ejpam-5549	60	23	1	1	NUM
ejpam-5549	60	24	,	,	PUNCT
ejpam-5549	60	25	then	then	ADV
ejpam-5549	60	26	a	a	PRON
ejpam-5549	60	27	is	be	AUX
ejpam-5549	60	28	classified	classify	VERB
ejpam-5549	60	29	as	as	ADP
ejpam-5549	60	30	sia	sia	PROPN
ejpam-5549	60	31	,	,	PUNCT
ejpam-5549	60	32	which	which	PRON
ejpam-5549	60	33	implies	imply	VERB
ejpam-5549	60	34	that	that	SCONJ
ejpam-5549	60	35	limk→∞ak	limk→∞ak	PRON
ejpam-5549	60	36	=	=	PUNCT
ejpam-5549	60	37	1ny	1ny	ADJ
ejpam-5549	60	38	t	t	NOUN
ejpam-5549	60	39	,	,	PUNCT
ejpam-5549	60	40	where	where	SCONJ
ejpam-5549	60	41	y	y	PROPN
ejpam-5549	60	42	is	be	AUX
ejpam-5549	60	43	a	a	DET
ejpam-5549	60	44	nonnegative	nonnegative	ADJ
ejpam-5549	60	45	vector	vector	NOUN
ejpam-5549	60	46	that	that	PRON
ejpam-5549	60	47	satisfies	satisfy	VERB
ejpam-5549	60	48	at	at	ADP
ejpam-5549	60	49	y	y	PROPN
ejpam-5549	60	50	=	=	PROPN
ejpam-5549	60	51	y	y	PROPN
ejpam-5549	60	52	and	and	CCONJ
ejpam-5549	60	53	1	1	NUM
ejpam-5549	60	54	t	t	NOUN
ejpam-5549	60	55	ny	ny	NOUN
ejpam-5549	61	1	=	=	SYM
ejpam-5549	61	2	1	1	NUM
ejpam-5549	61	3	.	.	NUM
ejpam-5549	61	4	2.2	2.2	NUM
ejpam-5549	61	5	.	.	PUNCT
ejpam-5549	62	1	problem	problem	NOUN
ejpam-5549	62	2	formulations	formulation	NOUN
ejpam-5549	62	3	consider	consider	VERB
ejpam-5549	62	4	an	an	DET
ejpam-5549	62	5	undirected	undirected	ADJ
ejpam-5549	62	6	network	network	NOUN
ejpam-5549	62	7	g	g	NOUN
ejpam-5549	62	8	=	=	SYM
ejpam-5549	62	9	(	(	PUNCT
ejpam-5549	62	10	v	v	NOUN
ejpam-5549	62	11	,	,	PUNCT
ejpam-5549	62	12	e	e	NOUN
ejpam-5549	62	13	)	)	PUNCT
ejpam-5549	62	14	,	,	PUNCT
ejpam-5549	62	15	with	with	ADP
ejpam-5549	62	16	a	a	DET
ejpam-5549	62	17	set	set	NOUN
ejpam-5549	62	18	of	of	ADP
ejpam-5549	62	19	n	n	PRON
ejpam-5549	62	20	nodes	node	NOUN
ejpam-5549	62	21	and	and	CCONJ
ejpam-5549	62	22	m	m	PRON
ejpam-5549	62	23	edges	edge	NOUN
ejpam-5549	62	24	,	,	PUNCT
ejpam-5549	62	25	where	where	SCONJ
ejpam-5549	62	26	e	e	NOUN
ejpam-5549	62	27	=	=	PRON
ejpam-5549	62	28	{	{	PUNCT
ejpam-5549	62	29	(	(	PUNCT
ejpam-5549	62	30	i	i	PROPN
ejpam-5549	62	31	,	,	PUNCT
ejpam-5549	62	32	j	j	PROPN
ejpam-5549	62	33	)	)	PUNCT
ejpam-5549	62	34	:	:	PUNCT
ejpam-5549	62	35	if	if	SCONJ
ejpam-5549	62	36	there	there	PRON
ejpam-5549	62	37	is	be	VERB
ejpam-5549	62	38	an	an	DET
ejpam-5549	62	39	edge	edge	NOUN
ejpam-5549	62	40	between	between	ADP
ejpam-5549	62	41	node	node	NOUN
ejpam-5549	62	42	i	i	PROPN
ejpam-5549	62	43	and	and	CCONJ
ejpam-5549	62	44	node	node	VERB
ejpam-5549	62	45	j	j	PROPN
ejpam-5549	62	46	}	}	PUNCT
ejpam-5549	62	47	and	and	CCONJ
ejpam-5549	62	48	v	v	NOUN
ejpam-5549	62	49	=	=	SYM
ejpam-5549	62	50	{	{	PUNCT
ejpam-5549	62	51	1	1	NUM
ejpam-5549	62	52	,	,	PUNCT
ejpam-5549	62	53	2	2	NUM
ejpam-5549	62	54	,	,	PUNCT
ejpam-5549	62	55	...	...	PUNCT
ejpam-5549	62	56	,	,	PUNCT
ejpam-5549	62	57	n	n	CCONJ
ejpam-5549	62	58	}	}	PUNCT
ejpam-5549	62	59	.	.	PUNCT
ejpam-5549	63	1	the	the	DET
ejpam-5549	63	2	topology	topology	NOUN
ejpam-5549	63	3	of	of	ADP
ejpam-5549	63	4	the	the	DET
ejpam-5549	63	5	network	network	NOUN
ejpam-5549	63	6	is	be	AUX
ejpam-5549	63	7	described	describe	VERB
ejpam-5549	63	8	by	by	ADP
ejpam-5549	63	9	the	the	DET
ejpam-5549	63	10	adjacency	adjacency	NOUN
ejpam-5549	63	11	matrix	matrix	NOUN
ejpam-5549	63	12	a	a	PRON
ejpam-5549	64	1	=	=	X
ejpam-5549	65	1	[	[	X
ejpam-5549	65	2	aij	aij	X
ejpam-5549	65	3	]	]	X
ejpam-5549	65	4	n×n	n×n	PROPN
ejpam-5549	65	5	,	,	PUNCT
ejpam-5549	65	6	where	where	SCONJ
ejpam-5549	65	7	aji	aji	NOUN
ejpam-5549	65	8	=	=	SYM
ejpam-5549	65	9	aij	aij	PROPN
ejpam-5549	65	10	=	=	SYM
ejpam-5549	65	11	{	{	PUNCT
ejpam-5549	65	12	1	1	NUM
ejpam-5549	65	13	,	,	PUNCT
ejpam-5549	65	14	if	if	SCONJ
ejpam-5549	65	15	(	(	PUNCT
ejpam-5549	65	16	i	i	NOUN
ejpam-5549	65	17	,	,	PUNCT
ejpam-5549	65	18	j	j	PROPN
ejpam-5549	65	19	)	)	PUNCT
ejpam-5549	65	20	∈	∈	PROPN
ejpam-5549	65	21	e	e	X
ejpam-5549	65	22	;	;	PUNCT
ejpam-5549	65	23	0	0	NUM
ejpam-5549	65	24	,	,	PUNCT
ejpam-5549	65	25	otherwise	otherwise	ADV
ejpam-5549	65	26	.	.	PUNCT
ejpam-5549	66	1	c.	c.	PROPN
ejpam-5549	66	2	park	park	PROPN
ejpam-5549	66	3	,	,	PUNCT
ejpam-5549	66	4	s.	s.	PROPN
ejpam-5549	66	5	donganont	donganont	PROPN
ejpam-5549	66	6	and	and	CCONJ
ejpam-5549	66	7	m.	m.	PROPN
ejpam-5549	66	8	donganont	donganont	PROPN
ejpam-5549	66	9	/	/	SYM
ejpam-5549	66	10	eur	eur	PROPN
ejpam-5549	66	11	.	.	PUNCT
ejpam-5549	67	1	j.	j.	PROPN
ejpam-5549	67	2	pure	pure	PROPN
ejpam-5549	67	3	appl	appl	PROPN
ejpam-5549	67	4	.	.	PROPN
ejpam-5549	67	5	math	math	PROPN
ejpam-5549	67	6	,	,	PUNCT
ejpam-5549	67	7	18	18	NUM
ejpam-5549	67	8	(	(	PUNCT
ejpam-5549	67	9	1	1	NUM
ejpam-5549	67	10	)	)	PUNCT
ejpam-5549	67	11	(	(	PUNCT
ejpam-5549	67	12	2025	2025	NUM
ejpam-5549	67	13	)	)	PUNCT
ejpam-5549	67	14	,	,	PUNCT
ejpam-5549	67	15	5549	5549	NUM
ejpam-5549	67	16	4	4	NUM
ejpam-5549	67	17	of	of	ADP
ejpam-5549	67	18	16	16	NUM
ejpam-5549	67	19	different	different	ADJ
ejpam-5549	67	20	from	from	ADP
ejpam-5549	67	21	the	the	DET
ejpam-5549	67	22	undirected	undirected	ADJ
ejpam-5549	67	23	network	network	NOUN
ejpam-5549	68	1	,	,	PUNCT
ejpam-5549	68	2	the	the	DET
ejpam-5549	68	3	directed	direct	VERB
ejpam-5549	68	4	network	network	NOUN
ejpam-5549	68	5	means	mean	VERB
ejpam-5549	68	6	that	that	SCONJ
ejpam-5549	68	7	the	the	DET
ejpam-5549	68	8	edge	edge	NOUN
ejpam-5549	68	9	(	(	PUNCT
ejpam-5549	68	10	i	i	PROPN
ejpam-5549	68	11	,	,	PUNCT
ejpam-5549	68	12	j	j	PROPN
ejpam-5549	68	13	)	)	PUNCT
ejpam-5549	68	14	∈	∈	PROPN
ejpam-5549	68	15	e	e	NOUN
ejpam-5549	68	16	if	if	SCONJ
ejpam-5549	68	17	node	node	NOUN
ejpam-5549	68	18	i	i	PRON
ejpam-5549	68	19	can	can	AUX
ejpam-5549	68	20	receive	receive	VERB
ejpam-5549	68	21	information	information	NOUN
ejpam-5549	68	22	from	from	ADP
ejpam-5549	68	23	node	node	PROPN
ejpam-5549	68	24	j.	j.	PROPN
ejpam-5549	68	25	hence	hence	PROPN
ejpam-5549	68	26	,	,	PUNCT
ejpam-5549	68	27	the	the	DET
ejpam-5549	68	28	topology	topology	NOUN
ejpam-5549	68	29	of	of	ADP
ejpam-5549	68	30	a	a	DET
ejpam-5549	68	31	network	network	NOUN
ejpam-5549	68	32	is	be	AUX
ejpam-5549	68	33	described	describe	VERB
ejpam-5549	68	34	by	by	ADP
ejpam-5549	68	35	the	the	DET
ejpam-5549	68	36	adjacency	adjacency	NOUN
ejpam-5549	68	37	matrix	matrix	NOUN
ejpam-5549	68	38	a	a	PRON
ejpam-5549	69	1	=	=	X
ejpam-5549	70	1	[	[	X
ejpam-5549	70	2	aij	aij	X
ejpam-5549	70	3	]	]	X
ejpam-5549	70	4	n×n	n×n	PROPN
ejpam-5549	70	5	,	,	PUNCT
ejpam-5549	70	6	where	where	SCONJ
ejpam-5549	70	7	aij	aij	PROPN
ejpam-5549	70	8	=	=	SYM
ejpam-5549	70	9	{	{	PUNCT
ejpam-5549	70	10	1	1	NUM
ejpam-5549	70	11	,	,	PUNCT
ejpam-5549	70	12	if	if	SCONJ
ejpam-5549	70	13	(	(	PUNCT
ejpam-5549	70	14	i	i	NOUN
ejpam-5549	70	15	,	,	PUNCT
ejpam-5549	70	16	j	j	PROPN
ejpam-5549	70	17	)	)	PUNCT
ejpam-5549	70	18	∈	∈	PROPN
ejpam-5549	70	19	e	e	X
ejpam-5549	70	20	;	;	PUNCT
ejpam-5549	70	21	0	0	NUM
ejpam-5549	70	22	,	,	PUNCT
ejpam-5549	70	23	otherwise	otherwise	ADV
ejpam-5549	70	24	.	.	PUNCT
ejpam-5549	71	1	for	for	ADP
ejpam-5549	71	2	any	any	DET
ejpam-5549	71	3	node	node	PROPN
ejpam-5549	71	4	i	i	PRON
ejpam-5549	71	5	,	,	PUNCT
ejpam-5549	71	6	its	its	PRON
ejpam-5549	71	7	inbound	inbound	ADJ
ejpam-5549	71	8	edge	edge	NOUN
ejpam-5549	71	9	(	(	PUNCT
ejpam-5549	71	10	i	i	NOUN
ejpam-5549	71	11	,	,	PUNCT
ejpam-5549	71	12	l	l	NOUN
ejpam-5549	71	13	)	)	PUNCT
ejpam-5549	71	14	is	be	AUX
ejpam-5549	71	15	adjacent	adjacent	ADJ
ejpam-5549	71	16	to	to	ADP
ejpam-5549	71	17	its	its	PRON
ejpam-5549	71	18	outbound	outbound	ADJ
ejpam-5549	71	19	edge	edge	NOUN
ejpam-5549	71	20	(	(	PUNCT
ejpam-5549	71	21	j	j	NOUN
ejpam-5549	71	22	,	,	PUNCT
ejpam-5549	71	23	i	i	PROPN
ejpam-5549	71	24	)	)	PUNCT
ejpam-5549	71	25	while	while	SCONJ
ejpam-5549	71	26	its	its	PRON
ejpam-5549	71	27	outbound	outbound	ADJ
ejpam-5549	71	28	edge	edge	NOUN
ejpam-5549	71	29	(	(	PUNCT
ejpam-5549	71	30	j	j	NOUN
ejpam-5549	71	31	,	,	PUNCT
ejpam-5549	71	32	i	i	PROPN
ejpam-5549	71	33	)	)	PUNCT
ejpam-5549	71	34	is	be	AUX
ejpam-5549	71	35	adjacent	adjacent	ADJ
ejpam-5549	71	36	from	from	ADP
ejpam-5549	71	37	its	its	PRON
ejpam-5549	71	38	inbound	inbound	ADJ
ejpam-5549	71	39	edge	edge	NOUN
ejpam-5549	71	40	(	(	PUNCT
ejpam-5549	71	41	i	i	NOUN
ejpam-5549	71	42	,	,	PUNCT
ejpam-5549	71	43	l	l	NOUN
ejpam-5549	71	44	)	)	PUNCT
ejpam-5549	71	45	.	.	PUNCT
ejpam-5549	72	1	for	for	ADP
ejpam-5549	72	2	better	well	ADJ
ejpam-5549	72	3	description	description	NOUN
ejpam-5549	72	4	and	and	CCONJ
ejpam-5549	72	5	understanding	understanding	NOUN
ejpam-5549	72	6	,	,	PUNCT
ejpam-5549	72	7	we	we	PRON
ejpam-5549	72	8	say	say	VERB
ejpam-5549	72	9	that	that	SCONJ
ejpam-5549	72	10	the	the	DET
ejpam-5549	72	11	inbound	inbound	ADJ
ejpam-5549	72	12	edge	edge	NOUN
ejpam-5549	72	13	(	(	PUNCT
ejpam-5549	72	14	i	i	PRON
ejpam-5549	72	15	,	,	PUNCT
ejpam-5549	72	16	k	k	PROPN
ejpam-5549	72	17	)	)	PUNCT
ejpam-5549	72	18	is	be	AUX
ejpam-5549	72	19	the	the	DET
ejpam-5549	72	20	valid	valid	ADJ
ejpam-5549	72	21	neighbor	neighbor	NOUN
ejpam-5549	72	22	of	of	ADP
ejpam-5549	72	23	the	the	DET
ejpam-5549	72	24	outbound	outbound	ADJ
ejpam-5549	72	25	edge	edge	NOUN
ejpam-5549	72	26	(	(	PUNCT
ejpam-5549	72	27	j	j	NOUN
ejpam-5549	72	28	,	,	PUNCT
ejpam-5549	72	29	i	i	PROPN
ejpam-5549	72	30	)	)	PUNCT
ejpam-5549	72	31	.	.	PUNCT
ejpam-5549	73	1	let	let	VERB
ejpam-5549	73	2	xij(t	xij(t	PRON
ejpam-5549	73	3	)	)	PUNCT
ejpam-5549	73	4	and	and	CCONJ
ejpam-5549	73	5	βij	βij	PROPN
ejpam-5549	73	6	̸=	̸=	PROPN
ejpam-5549	73	7	0	0	NUM
ejpam-5549	73	8	be	be	AUX
ejpam-5549	73	9	the	the	DET
ejpam-5549	73	10	state	state	NOUN
ejpam-5549	73	11	and	and	CCONJ
ejpam-5549	73	12	scalar	scalar	ADJ
ejpam-5549	73	13	scale	scale	NOUN
ejpam-5549	73	14	of	of	ADP
ejpam-5549	73	15	edge	edge	NOUN
ejpam-5549	73	16	(	(	PUNCT
ejpam-5549	73	17	i	i	PROPN
ejpam-5549	73	18	,	,	PUNCT
ejpam-5549	73	19	j	j	PROPN
ejpam-5549	73	20	)	)	PUNCT
ejpam-5549	73	21	at	at	ADP
ejpam-5549	73	22	time	time	NOUN
ejpam-5549	73	23	t	t	PROPN
ejpam-5549	73	24	,	,	PUNCT
ejpam-5549	73	25	respectively	respectively	ADV
ejpam-5549	73	26	.	.	PUNCT
ejpam-5549	74	1	thus	thus	ADV
ejpam-5549	74	2	,	,	PUNCT
ejpam-5549	74	3	the	the	DET
ejpam-5549	74	4	edge	edge	NOUN
ejpam-5549	74	5	dynamics	dynamic	NOUN
ejpam-5549	74	6	of	of	ADP
ejpam-5549	74	7	each	each	DET
ejpam-5549	74	8	edge	edge	NOUN
ejpam-5549	74	9	can	can	AUX
ejpam-5549	74	10	be	be	AUX
ejpam-5549	74	11	designed	design	VERB
ejpam-5549	74	12	as	as	SCONJ
ejpam-5549	74	13	follows	follow	VERB
ejpam-5549	74	14	:	:	PUNCT
ejpam-5549	74	15	{	{	PUNCT
ejpam-5549	74	16	βij	βij	PROPN
ejpam-5549	74	17	ẋij(t	ẋij(t	PROPN
ejpam-5549	74	18	)	)	PUNCT
ejpam-5549	75	1	=	=	SYM
ejpam-5549	75	2	uij(t	uij(t	PROPN
ejpam-5549	75	3	)	)	PUNCT
ejpam-5549	75	4	,	,	PUNCT
ejpam-5549	75	5	for	for	ADP
ejpam-5549	75	6	(	(	PUNCT
ejpam-5549	75	7	i	i	PROPN
ejpam-5549	75	8	,	,	PUNCT
ejpam-5549	75	9	j	j	PROPN
ejpam-5549	75	10	)	)	PUNCT
ejpam-5549	75	11	∈	∈	PROPN
ejpam-5549	75	12	ec	ec	PROPN
ejpam-5549	75	13	,	,	PUNCT
ejpam-5549	75	14	βijxij(tk+1	βijxij(tk+1	NOUN
ejpam-5549	75	15	)	)	PUNCT
ejpam-5549	75	16	=	=	SYM
ejpam-5549	75	17	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	75	18	)	)	PUNCT
ejpam-5549	75	19	+	+	NUM
ejpam-5549	75	20	uij(tk	uij(tk	NOUN
ejpam-5549	75	21	)	)	PUNCT
ejpam-5549	75	22	,	,	PUNCT
ejpam-5549	75	23	tk	tk	PROPN
ejpam-5549	75	24	=	=	SYM
ejpam-5549	75	25	kh	kh	PROPN
ejpam-5549	75	26	,	,	PUNCT
ejpam-5549	75	27	k	k	PROPN
ejpam-5549	75	28	∈	∈	PROPN
ejpam-5549	75	29	n	n	X
ejpam-5549	75	30	for	for	ADP
ejpam-5549	75	31	(	(	PUNCT
ejpam-5549	75	32	i	i	PROPN
ejpam-5549	75	33	,	,	PUNCT
ejpam-5549	75	34	j	j	PROPN
ejpam-5549	75	35	)	)	PUNCT
ejpam-5549	75	36	∈	∈	PROPN
ejpam-5549	75	37	ed	ed	NOUN
ejpam-5549	75	38	,	,	PUNCT
ejpam-5549	75	39	(	(	PUNCT
ejpam-5549	75	40	2.1	2.1	NUM
ejpam-5549	75	41	)	)	PUNCT
ejpam-5549	75	42	where	where	SCONJ
ejpam-5549	75	43	uij	uij	PRON
ejpam-5549	75	44	∈	∈	PROPN
ejpam-5549	75	45	r	r	NOUN
ejpam-5549	75	46	is	be	AUX
ejpam-5549	75	47	a	a	DET
ejpam-5549	75	48	consensus	consensus	NOUN
ejpam-5549	75	49	protocol	protocol	NOUN
ejpam-5549	75	50	.	.	PUNCT
ejpam-5549	76	1	ec	ec	PROPN
ejpam-5549	76	2	,	,	PUNCT
ejpam-5549	76	3	ed	ed	NOUN
ejpam-5549	76	4	⊆	⊆	NUM
ejpam-5549	76	5	e	e	NOUN
ejpam-5549	76	6	are	be	AUX
ejpam-5549	76	7	the	the	DET
ejpam-5549	76	8	continuous	continuous	ADJ
ejpam-5549	76	9	-	-	PUNCT
ejpam-5549	76	10	time	time	NOUN
ejpam-5549	76	11	and	and	CCONJ
ejpam-5549	76	12	discretetime	discretetime	ADJ
ejpam-5549	76	13	edge	edge	NOUN
ejpam-5549	76	14	dynamics	dynamic	NOUN
ejpam-5549	76	15	,	,	PUNCT
ejpam-5549	76	16	respectively	respectively	ADV
ejpam-5549	76	17	.	.	PUNCT
ejpam-5549	77	1	in	in	ADP
ejpam-5549	77	2	general	general	ADJ
ejpam-5549	77	3	,	,	PUNCT
ejpam-5549	77	4	one	one	PRON
ejpam-5549	77	5	says	say	VERB
ejpam-5549	77	6	that	that	SCONJ
ejpam-5549	77	7	the	the	DET
ejpam-5549	77	8	protocol	protocol	NOUN
ejpam-5549	77	9	uij	uij	PRON
ejpam-5549	77	10	in	in	ADP
ejpam-5549	77	11	(	(	PUNCT
ejpam-5549	77	12	2.1	2.1	NUM
ejpam-5549	77	13	)	)	PUNCT
ejpam-5549	77	14	solves	solve	VERB
ejpam-5549	77	15	the	the	DET
ejpam-5549	77	16	edge	edge	NOUN
ejpam-5549	77	17	consensus	consensus	NOUN
ejpam-5549	77	18	problems	problem	NOUN
ejpam-5549	77	19	if	if	SCONJ
ejpam-5549	77	20	the	the	DET
ejpam-5549	77	21	following	follow	VERB
ejpam-5549	77	22	definition	definition	NOUN
ejpam-5549	77	23	is	be	AUX
ejpam-5549	77	24	satisfied	satisfied	ADJ
ejpam-5549	77	25	:	:	PUNCT
ejpam-5549	77	26	definition	definition	NOUN
ejpam-5549	77	27	1	1	NUM
ejpam-5549	77	28	.	.	PUNCT
ejpam-5549	78	1	the	the	DET
ejpam-5549	78	2	hybrid	hybrid	ADJ
ejpam-5549	78	3	system	system	NOUN
ejpam-5549	78	4	(	(	PUNCT
ejpam-5549	78	5	2.1	2.1	NUM
ejpam-5549	78	6	)	)	PUNCT
ejpam-5549	78	7	is	be	AUX
ejpam-5549	78	8	said	say	VERB
ejpam-5549	78	9	to	to	PART
ejpam-5549	78	10	reach	reach	VERB
ejpam-5549	78	11	edge	edge	NOUN
ejpam-5549	78	12	consensus	consensus	NOUN
ejpam-5549	78	13	if	if	SCONJ
ejpam-5549	78	14	for	for	ADP
ejpam-5549	78	15	any	any	DET
ejpam-5549	78	16	initial	initial	ADJ
ejpam-5549	78	17	conditions	condition	NOUN
ejpam-5549	78	18	,	,	PUNCT
ejpam-5549	78	19	lim	lim	PROPN
ejpam-5549	78	20	tk→∞	tk→∞	PROPN
ejpam-5549	78	21	∥βijxij(tk)−	∥βijxij(tk)−	PROPN
ejpam-5549	78	22	βksxks(tk)∥	βksxks(tk)∥	NOUN
ejpam-5549	78	23	=	=	SYM
ejpam-5549	78	24	0	0	NUM
ejpam-5549	78	25	,	,	PUNCT
ejpam-5549	78	26	for	for	ADP
ejpam-5549	78	27	all	all	DET
ejpam-5549	78	28	(	(	PUNCT
ejpam-5549	78	29	i	i	PROPN
ejpam-5549	78	30	,	,	PUNCT
ejpam-5549	78	31	j	j	PROPN
ejpam-5549	78	32	)	)	PUNCT
ejpam-5549	78	33	,	,	PUNCT
ejpam-5549	78	34	(	(	PUNCT
ejpam-5549	78	35	k	k	X
ejpam-5549	78	36	,	,	PUNCT
ejpam-5549	78	37	s	s	X
ejpam-5549	78	38	)	)	PUNCT
ejpam-5549	78	39	∈	∈	PROPN
ejpam-5549	78	40	e	e	X
ejpam-5549	78	41	(	(	PUNCT
ejpam-5549	78	42	2.2	2.2	NUM
ejpam-5549	78	43	)	)	PUNCT
ejpam-5549	78	44	and	and	CCONJ
ejpam-5549	78	45	lim	lim	PROPN
ejpam-5549	78	46	t→∞	t→∞	ADP
ejpam-5549	78	47	∥βijxij(t)−	∥βijxij(t)−	PROPN
ejpam-5549	78	48	βksxks(t)∥	βksxks(t)∥	PROPN
ejpam-5549	78	49	=	=	SYM
ejpam-5549	78	50	0	0	NUM
ejpam-5549	78	51	,	,	PUNCT
ejpam-5549	78	52	for	for	ADP
ejpam-5549	78	53	all	all	PRON
ejpam-5549	78	54	(	(	PUNCT
ejpam-5549	78	55	i	i	PROPN
ejpam-5549	78	56	,	,	PUNCT
ejpam-5549	78	57	j	j	PROPN
ejpam-5549	78	58	)	)	PUNCT
ejpam-5549	78	59	,	,	PUNCT
ejpam-5549	78	60	(	(	PUNCT
ejpam-5549	78	61	k	k	X
ejpam-5549	78	62	,	,	PUNCT
ejpam-5549	78	63	s	s	X
ejpam-5549	78	64	)	)	PUNCT
ejpam-5549	78	65	∈	∈	PROPN
ejpam-5549	78	66	ec	ec	PROPN
ejpam-5549	78	67	.	.	PUNCT
ejpam-5549	79	1	(	(	PUNCT
ejpam-5549	79	2	2.3	2.3	NUM
ejpam-5549	79	3	)	)	PUNCT
ejpam-5549	79	4	3	3	NUM
ejpam-5549	79	5	.	.	PUNCT
ejpam-5549	79	6	scaled	scale	VERB
ejpam-5549	79	7	consensus	consensus	NOUN
ejpam-5549	79	8	results	result	NOUN
ejpam-5549	79	9	3.1	3.1	NUM
ejpam-5549	79	10	.	.	PUNCT
ejpam-5549	80	1	undirected	undirected	ADJ
ejpam-5549	80	2	communication	communication	NOUN
ejpam-5549	80	3	networks	network	NOUN
ejpam-5549	80	4	in	in	ADP
ejpam-5549	80	5	this	this	DET
ejpam-5549	80	6	work	work	NOUN
ejpam-5549	80	7	,	,	PUNCT
ejpam-5549	80	8	we	we	PRON
ejpam-5549	80	9	solve	solve	VERB
ejpam-5549	80	10	scaled	scale	VERB
ejpam-5549	80	11	consensus	consensus	NOUN
ejpam-5549	80	12	problem	problem	NOUN
ejpam-5549	80	13	of	of	ADP
ejpam-5549	80	14	edge	edge	NOUN
ejpam-5549	80	15	dynamics	dynamic	NOUN
ejpam-5549	80	16	in	in	ADP
ejpam-5549	80	17	hmass	hmass	NOUN
ejpam-5549	80	18	by	by	ADP
ejpam-5549	80	19	designing	design	VERB
ejpam-5549	80	20	the	the	DET
ejpam-5549	80	21	consensus	consensus	NOUN
ejpam-5549	80	22	protocol	protocol	NOUN
ejpam-5549	80	23	,	,	PUNCT
ejpam-5549	80	24	uij	uij	PROPN
ejpam-5549	80	25	,	,	PUNCT
ejpam-5549	80	26	which	which	PRON
ejpam-5549	80	27	depends	depend	VERB
ejpam-5549	80	28	on	on	ADP
ejpam-5549	80	29	the	the	DET
ejpam-5549	80	30	states	state	NOUN
ejpam-5549	80	31	of	of	ADP
ejpam-5549	80	32	the	the	DET
ejpam-5549	80	33	edge	edge	NOUN
ejpam-5549	80	34	(	(	PUNCT
ejpam-5549	80	35	i	i	PROPN
ejpam-5549	80	36	,	,	PUNCT
ejpam-5549	80	37	j	j	PROPN
ejpam-5549	80	38	)	)	PUNCT
ejpam-5549	80	39	and	and	CCONJ
ejpam-5549	80	40	its	its	PRON
ejpam-5549	80	41	neighboring	neighboring	NOUN
ejpam-5549	80	42	edges	edge	NOUN
ejpam-5549	80	43	at	at	ADP
ejpam-5549	80	44	time	time	NOUN
ejpam-5549	80	45	tk	tk	PROPN
ejpam-5549	80	46	.	.	PROPN
ejpam-5549	81	1	in	in	ADP
ejpam-5549	81	2	addition	addition	NOUN
ejpam-5549	81	3	,	,	PUNCT
ejpam-5549	81	4	two	two	NUM
ejpam-5549	81	5	edges	edge	NOUN
ejpam-5549	81	6	are	be	AUX
ejpam-5549	81	7	neighboring	neighbor	VERB
ejpam-5549	81	8	edges	edge	NOUN
ejpam-5549	81	9	if	if	SCONJ
ejpam-5549	81	10	they	they	PRON
ejpam-5549	81	11	share	share	VERB
ejpam-5549	81	12	exactly	exactly	ADV
ejpam-5549	81	13	a	a	DET
ejpam-5549	81	14	common	common	ADJ
ejpam-5549	81	15	ending	end	VERB
ejpam-5549	81	16	vertex	vertex	NOUN
ejpam-5549	81	17	.	.	PUNCT
ejpam-5549	82	1	in	in	ADP
ejpam-5549	82	2	our	our	PRON
ejpam-5549	82	3	protocol	protocol	NOUN
ejpam-5549	82	4	,	,	PUNCT
ejpam-5549	82	5	each	each	DET
ejpam-5549	82	6	edge	edge	NOUN
ejpam-5549	82	7	adjusts	adjust	VERB
ejpam-5549	82	8	itself	itself	PRON
ejpam-5549	82	9	based	base	VERB
ejpam-5549	82	10	on	on	ADP
ejpam-5549	82	11	the	the	DET
ejpam-5549	82	12	errors	error	NOUN
ejpam-5549	82	13	between	between	ADP
ejpam-5549	82	14	its	its	PRON
ejpam-5549	82	15	state	state	NOUN
ejpam-5549	82	16	and	and	CCONJ
ejpam-5549	82	17	the	the	DET
ejpam-5549	82	18	states	state	NOUN
ejpam-5549	82	19	of	of	ADP
ejpam-5549	82	20	its	its	PRON
ejpam-5549	82	21	neighboring	neighboring	NOUN
ejpam-5549	82	22	edges	edge	NOUN
ejpam-5549	82	23	.	.	PUNCT
ejpam-5549	83	1	the	the	DET
ejpam-5549	83	2	dynamical	dynamical	ADJ
ejpam-5549	83	3	equation	equation	NOUN
ejpam-5549	83	4	governing	govern	VERB
ejpam-5549	83	5	the	the	DET
ejpam-5549	83	6	evolution	evolution	NOUN
ejpam-5549	83	7	of	of	ADP
ejpam-5549	83	8	the	the	DET
ejpam-5549	83	9	c.	c.	PROPN
ejpam-5549	83	10	park	park	PROPN
ejpam-5549	83	11	,	,	PUNCT
ejpam-5549	83	12	s.	s.	PROPN
ejpam-5549	83	13	donganont	donganont	PROPN
ejpam-5549	83	14	and	and	CCONJ
ejpam-5549	83	15	m.	m.	PROPN
ejpam-5549	83	16	donganont	donganont	PROPN
ejpam-5549	83	17	/	/	SYM
ejpam-5549	83	18	eur	eur	PROPN
ejpam-5549	83	19	.	.	PUNCT
ejpam-5549	84	1	j.	j.	PROPN
ejpam-5549	84	2	pure	pure	PROPN
ejpam-5549	84	3	appl	appl	PROPN
ejpam-5549	84	4	.	.	PROPN
ejpam-5549	84	5	math	math	PROPN
ejpam-5549	84	6	,	,	PUNCT
ejpam-5549	84	7	18	18	NUM
ejpam-5549	84	8	(	(	PUNCT
ejpam-5549	84	9	1	1	NUM
ejpam-5549	84	10	)	)	PUNCT
ejpam-5549	84	11	(	(	PUNCT
ejpam-5549	84	12	2025	2025	NUM
ejpam-5549	84	13	)	)	PUNCT
ejpam-5549	84	14	,	,	PUNCT
ejpam-5549	84	15	5549	5549	NUM
ejpam-5549	84	16	5	5	NUM
ejpam-5549	84	17	of	of	ADP
ejpam-5549	84	18	16	16	NUM
ejpam-5549	84	19	states	state	NOUN
ejpam-5549	84	20	of	of	ADP
ejpam-5549	84	21	edges	edge	NOUN
ejpam-5549	84	22	are	be	AUX
ejpam-5549	84	23	designed	design	VERB
ejpam-5549	84	24	as	as	ADP
ejpam-5549	84	25	follows:	follows:	PROPN
ejpam-5549	84	26	uij(t	uij(t	PROPN
ejpam-5549	84	27	)	)	PUNCT
ejpam-5549	84	28	=	=	SYM
ejpam-5549	85	1	|βij	|βij	NOUN
ejpam-5549	86	1	|	|	ADV
ejpam-5549	86	2	[	[	X
ejpam-5549	86	3	∑	∑	PART
ejpam-5549	86	4	s∈ni	s∈ni	NOUN
ejpam-5549	86	5	ais[βisxis(tk)−	ais[βisxis(tk)−	NOUN
ejpam-5549	86	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	86	7	)	)	PUNCT
ejpam-5549	86	8	]	]	PUNCT
ejpam-5549	87	1	+	+	CCONJ
ejpam-5549	87	2	∑	∑	PUNCT
ejpam-5549	87	3	s∈nj	s∈nj	PROPN
ejpam-5549	87	4	ajs[βjsxjs(tk)−	ajs[βjsxjs(tk)−	PROPN
ejpam-5549	87	5	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	87	6	)	)	PUNCT
ejpam-5549	87	7	]	]	PUNCT
ejpam-5549	87	8	]	]	PUNCT
ejpam-5549	87	9	,	,	PUNCT
ejpam-5549	87	10	for	for	SCONJ
ejpam-5549	87	11	(	(	PUNCT
ejpam-5549	87	12	i	i	PROPN
ejpam-5549	87	13	,	,	PUNCT
ejpam-5549	87	14	j	j	PROPN
ejpam-5549	87	15	)	)	PUNCT
ejpam-5549	87	16	∈	∈	PROPN
ejpam-5549	87	17	ec	ec	PROPN
ejpam-5549	87	18	,	,	PUNCT
ejpam-5549	87	19	uij(tk+1	uij(tk+1	ADJ
ejpam-5549	87	20	)	)	PUNCT
ejpam-5549	87	21	=	=	SYM
ejpam-5549	87	22	h	h	NOUN
ejpam-5549	87	23	·	·	PUNCT
ejpam-5549	87	24	|βij	|βij	ADJ
ejpam-5549	88	1	|	|	ADV
ejpam-5549	88	2	[	[	X
ejpam-5549	88	3	∑	∑	PART
ejpam-5549	88	4	s∈ni	s∈ni	NOUN
ejpam-5549	88	5	ais[βisxis(tk)−	ais[βisxis(tk)−	NOUN
ejpam-5549	88	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	88	7	)	)	PUNCT
ejpam-5549	88	8	]	]	PUNCT
ejpam-5549	89	1	+	+	CCONJ
ejpam-5549	89	2	∑	∑	PUNCT
ejpam-5549	89	3	s∈nj	s∈nj	PROPN
ejpam-5549	89	4	ajs[βjsxjs(tk)−	ajs[βjsxjs(tk)−	PROPN
ejpam-5549	89	5	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	89	6	)	)	PUNCT
ejpam-5549	89	7	]	]	PUNCT
ejpam-5549	89	8	]	]	PUNCT
ejpam-5549	89	9	,	,	PUNCT
ejpam-5549	89	10	for	for	ADP
ejpam-5549	89	11	(	(	PUNCT
ejpam-5549	89	12	i	i	PROPN
ejpam-5549	89	13	,	,	PUNCT
ejpam-5549	89	14	j	j	PROPN
ejpam-5549	89	15	)	)	PUNCT
ejpam-5549	89	16	∈	∈	PROPN
ejpam-5549	89	17	ed	ed	NOUN
ejpam-5549	89	18	,	,	PUNCT
ejpam-5549	89	19	(	(	PUNCT
ejpam-5549	89	20	3.1	3.1	NUM
ejpam-5549	89	21	)	)	PUNCT
ejpam-5549	89	22	where	where	SCONJ
ejpam-5549	89	23	h	h	NOUN
ejpam-5549	89	24	>	>	X
ejpam-5549	89	25	0	0	NUM
ejpam-5549	89	26	is	be	AUX
ejpam-5549	89	27	the	the	DET
ejpam-5549	89	28	step	step	NOUN
ejpam-5549	89	29	size	size	NOUN
ejpam-5549	89	30	and	and	CCONJ
ejpam-5549	89	31	ni	ni	PROPN
ejpam-5549	89	32	=	=	PROPN
ejpam-5549	89	33	{	{	PUNCT
ejpam-5549	89	34	j|(i	j|(i	PROPN
ejpam-5549	89	35	,	,	PUNCT
ejpam-5549	89	36	j	j	PROPN
ejpam-5549	89	37	)	)	PUNCT
ejpam-5549	89	38	∈	∈	PROPN
ejpam-5549	89	39	e	e	X
ejpam-5549	89	40	}	}	PUNCT
ejpam-5549	89	41	is	be	AUX
ejpam-5549	89	42	the	the	DET
ejpam-5549	89	43	neighboring	neighboring	NOUN
ejpam-5549	89	44	set	set	NOUN
ejpam-5549	89	45	of	of	ADP
ejpam-5549	89	46	node	node	PROPN
ejpam-5549	89	47	i.	i.	PROPN
ejpam-5549	89	48	remark	remark	PROPN
ejpam-5549	89	49	1	1	NUM
ejpam-5549	89	50	.	.	PUNCT
ejpam-5549	90	1	it	it	PRON
ejpam-5549	90	2	should	should	AUX
ejpam-5549	90	3	be	be	AUX
ejpam-5549	90	4	note	note	VERB
ejpam-5549	90	5	that	that	SCONJ
ejpam-5549	90	6	,	,	PUNCT
ejpam-5549	90	7	in	in	ADP
ejpam-5549	90	8	eq.(2.1	eq.(2.1	PROPN
ejpam-5549	90	9	)	)	PUNCT
ejpam-5549	90	10	,	,	PUNCT
ejpam-5549	90	11	xij	xij	PROPN
ejpam-5549	90	12	and	and	CCONJ
ejpam-5549	90	13	xji	xji	PRON
ejpam-5549	90	14	both	both	PRON
ejpam-5549	90	15	denote	denote	VERB
ejpam-5549	90	16	the	the	DET
ejpam-5549	90	17	state	state	NOUN
ejpam-5549	90	18	of	of	ADP
ejpam-5549	90	19	the	the	DET
ejpam-5549	90	20	same	same	ADJ
ejpam-5549	90	21	edge	edge	NOUN
ejpam-5549	90	22	(	(	PUNCT
ejpam-5549	90	23	i	i	PROPN
ejpam-5549	90	24	,	,	PUNCT
ejpam-5549	90	25	j	j	PROPN
ejpam-5549	90	26	)	)	PUNCT
ejpam-5549	90	27	.	.	PUNCT
ejpam-5549	91	1	moreover	moreover	ADV
ejpam-5549	91	2	,	,	PUNCT
ejpam-5549	91	3	in	in	ADP
ejpam-5549	91	4	protocol	protocol	NOUN
ejpam-5549	91	5	(	(	PUNCT
ejpam-5549	91	6	3.1	3.1	NUM
ejpam-5549	91	7	)	)	PUNCT
ejpam-5549	91	8	,	,	PUNCT
ejpam-5549	91	9	we	we	PRON
ejpam-5549	91	10	can	can	AUX
ejpam-5549	91	11	see	see	VERB
ejpam-5549	91	12	that	that	SCONJ
ejpam-5549	91	13	an	an	DET
ejpam-5549	91	14	agent	agent	NOUN
ejpam-5549	91	15	can	can	AUX
ejpam-5549	91	16	interact	interact	VERB
ejpam-5549	91	17	and	and	CCONJ
ejpam-5549	91	18	update	update	VERB
ejpam-5549	91	19	information	information	NOUN
ejpam-5549	91	20	from	from	ADP
ejpam-5549	91	21	its	its	PRON
ejpam-5549	91	22	neighbors	neighbor	NOUN
ejpam-5549	91	23	only	only	ADV
ejpam-5549	91	24	at	at	ADP
ejpam-5549	91	25	the	the	DET
ejpam-5549	91	26	sampling	sampling	NOUN
ejpam-5549	91	27	time	time	NOUN
ejpam-5549	91	28	tk	tk	PROPN
ejpam-5549	91	29	.	.	PROPN
ejpam-5549	91	30	remark	remark	PROPN
ejpam-5549	91	31	2	2	NUM
ejpam-5549	91	32	.	.	PUNCT
ejpam-5549	92	1	obviously	obviously	ADV
ejpam-5549	92	2	,	,	PUNCT
ejpam-5549	92	3	if	if	SCONJ
ejpam-5549	92	4	βij	βij	ADJ
ejpam-5549	92	5	=	=	SYM
ejpam-5549	92	6	1	1	NUM
ejpam-5549	92	7	for	for	ADP
ejpam-5549	92	8	all	all	DET
ejpam-5549	92	9	edge	edge	NOUN
ejpam-5549	92	10	(	(	PUNCT
ejpam-5549	92	11	i	i	PROPN
ejpam-5549	92	12	,	,	PUNCT
ejpam-5549	92	13	j	j	PROPN
ejpam-5549	92	14	)	)	PUNCT
ejpam-5549	92	15	and	and	CCONJ
ejpam-5549	92	16	ec	ec	PROPN
ejpam-5549	92	17	=	=	PUNCT
ejpam-5549	92	18	∅	∅	NOUN
ejpam-5549	92	19	,	,	PUNCT
ejpam-5549	92	20	the	the	DET
ejpam-5549	92	21	protocol	protocol	NOUN
ejpam-5549	92	22	(	(	PUNCT
ejpam-5549	92	23	3.1	3.1	NUM
ejpam-5549	92	24	)	)	PUNCT
ejpam-5549	92	25	can	can	AUX
ejpam-5549	92	26	be	be	AUX
ejpam-5549	92	27	written	write	VERB
ejpam-5549	92	28	as	as	ADP
ejpam-5549	92	29	uij(tk+1	uij(tk+1	ADJ
ejpam-5549	92	30	)	)	PUNCT
ejpam-5549	93	1	=	=	SYM
ejpam-5549	93	2	h	h	NOUN
ejpam-5549	93	3	[	[	PUNCT
ejpam-5549	93	4	∑	∑	PUNCT
ejpam-5549	93	5	s∈ni	s∈ni	NOUN
ejpam-5549	93	6	ais[xis(tk)−	ais[xis(tk)−	PROPN
ejpam-5549	93	7	xij(tk	xij(tk	NOUN
ejpam-5549	93	8	)	)	PUNCT
ejpam-5549	93	9	]	]	PUNCT
ejpam-5549	94	1	+	+	CCONJ
ejpam-5549	94	2	∑	∑	PUNCT
ejpam-5549	94	3	s∈nj	s∈nj	PROPN
ejpam-5549	94	4	ajs[xjs(tk)−	ajs[xjs(tk)−	PROPN
ejpam-5549	94	5	xij(tk	xij(tk	PROPN
ejpam-5549	94	6	)	)	PUNCT
ejpam-5549	94	7	]	]	PUNCT
ejpam-5549	94	8	]	]	PUNCT
ejpam-5549	94	9	,	,	PUNCT
ejpam-5549	94	10	for	for	ADP
ejpam-5549	94	11	(	(	PUNCT
ejpam-5549	94	12	i	i	PROPN
ejpam-5549	94	13	,	,	PUNCT
ejpam-5549	94	14	j	j	PROPN
ejpam-5549	94	15	)	)	PUNCT
ejpam-5549	94	16	∈	∈	PROPN
ejpam-5549	94	17	ed	ed	NOUN
ejpam-5549	94	18	,	,	PUNCT
ejpam-5549	94	19	(	(	PUNCT
ejpam-5549	94	20	3.2	3.2	NUM
ejpam-5549	94	21	)	)	PUNCT
ejpam-5549	94	22	which	which	PRON
ejpam-5549	94	23	was	be	AUX
ejpam-5549	94	24	studied	study	VERB
ejpam-5549	94	25	in	in	ADP
ejpam-5549	94	26	[	[	X
ejpam-5549	94	27	18	18	NUM
ejpam-5549	94	28	]	]	PUNCT
ejpam-5549	94	29	.	.	PUNCT
ejpam-5549	95	1	before	before	ADP
ejpam-5549	95	2	moving	move	VERB
ejpam-5549	95	3	on	on	ADP
ejpam-5549	95	4	,	,	PUNCT
ejpam-5549	95	5	the	the	DET
ejpam-5549	95	6	following	follow	VERB
ejpam-5549	95	7	assumptions	assumption	NOUN
ejpam-5549	95	8	are	be	AUX
ejpam-5549	95	9	provided	provide	VERB
ejpam-5549	95	10	to	to	PART
ejpam-5549	95	11	obtain	obtain	VERB
ejpam-5549	95	12	our	our	PRON
ejpam-5549	95	13	main	main	ADJ
ejpam-5549	95	14	results	result	NOUN
ejpam-5549	95	15	:	:	PUNCT
ejpam-5549	95	16	(	(	PUNCT
ejpam-5549	95	17	a1	a1	NOUN
ejpam-5549	95	18	)	)	PUNCT
ejpam-5549	95	19	the	the	DET
ejpam-5549	95	20	step	step	NOUN
ejpam-5549	95	21	size	size	NOUN
ejpam-5549	95	22	h	h	NOUN
ejpam-5549	95	23	is	be	AUX
ejpam-5549	95	24	satisfied	satisfied	ADJ
ejpam-5549	95	25	:	:	PUNCT
ejpam-5549	95	26	0	0	PUNCT
ejpam-5549	95	27	<	<	X
ejpam-5549	95	28	h	h	X
ejpam-5549	95	29	<	<	X
ejpam-5549	95	30	1	1	NUM
ejpam-5549	95	31	βmax∆	βmax∆	PROPN
ejpam-5549	95	32	,	,	PUNCT
ejpam-5549	95	33	where	where	SCONJ
ejpam-5549	95	34	∆	∆	PROPN
ejpam-5549	95	35	=	=	SYM
ejpam-5549	95	36	max	max	PROPN
ejpam-5549	95	37	{	{	PUNCT
ejpam-5549	95	38	∑	∑	PROPN
ejpam-5549	95	39	s∈ni	s∈ni	NOUN
ejpam-5549	95	40	,	,	PUNCT
ejpam-5549	95	41	s	s	PART
ejpam-5549	95	42	̸=j	̸=j	PROPN
ejpam-5549	95	43	ais	ais	X
ejpam-5549	95	44	+	+	CCONJ
ejpam-5549	95	45	∑	∑	PROPN
ejpam-5549	95	46	s∈nj	s∈nj	PROPN
ejpam-5549	95	47	,	,	PUNCT
ejpam-5549	95	48	s	s	PART
ejpam-5549	95	49	̸=i	̸=i	PROPN
ejpam-5549	95	50	ajs	ajs	PROPN
ejpam-5549	95	51	}	}	PUNCT
ejpam-5549	95	52	,	,	PUNCT
ejpam-5549	95	53	βmax	βmax	NOUN
ejpam-5549	95	54	=	=	SYM
ejpam-5549	95	55	max	max	PROPN
ejpam-5549	95	56	|βij	|βij	PROPN
ejpam-5549	95	57	|	|	NOUN
ejpam-5549	95	58	,	,	PUNCT
ejpam-5549	95	59	where	where	SCONJ
ejpam-5549	95	60	βij	βij	NOUN
ejpam-5549	95	61	be	be	AUX
ejpam-5549	95	62	a	a	DET
ejpam-5549	95	63	nonzero	nonzero	ADJ
ejpam-5549	95	64	scalar	scalar	ADJ
ejpam-5549	95	65	scale	scale	NOUN
ejpam-5549	95	66	of	of	ADP
ejpam-5549	95	67	edge	edge	NOUN
ejpam-5549	95	68	(	(	PUNCT
ejpam-5549	95	69	i	i	PROPN
ejpam-5549	95	70	,	,	PUNCT
ejpam-5549	95	71	j	j	PROPN
ejpam-5549	95	72	)	)	PUNCT
ejpam-5549	95	73	.	.	PUNCT
ejpam-5549	96	1	lemma	lemma	PROPN
ejpam-5549	96	2	6	6	NUM
ejpam-5549	96	3	.	.	PUNCT
ejpam-5549	97	1	let	let	VERB
ejpam-5549	97	2	l	l	NOUN
ejpam-5549	97	3	denote	denote	VERB
ejpam-5549	97	4	the	the	DET
ejpam-5549	97	5	laplacian	laplacian	ADJ
ejpam-5549	97	6	matrix	matrix	NOUN
ejpam-5549	97	7	of	of	ADP
ejpam-5549	97	8	a	a	DET
ejpam-5549	97	9	communication	communication	NOUN
ejpam-5549	97	10	network	network	NOUN
ejpam-5549	97	11	g	g	NOUN
ejpam-5549	97	12	comprising	comprise	VERB
ejpam-5549	98	1	n	n	PRON
ejpam-5549	98	2	nodes	node	NOUN
ejpam-5549	98	3	and	and	CCONJ
ejpam-5549	98	4	m	m	NOUN
ejpam-5549	98	5	edges	edge	NOUN
ejpam-5549	98	6	.	.	PUNCT
ejpam-5549	99	1	we	we	PRON
ejpam-5549	99	2	define	define	VERB
ejpam-5549	99	3	βmax	βmax	NOUN
ejpam-5549	99	4	=	=	SYM
ejpam-5549	99	5	max	max	PROPN
ejpam-5549	99	6	|βij	|βij	PROPN
ejpam-5549	99	7	|	|	NOUN
ejpam-5549	99	8	,	,	PUNCT
ejpam-5549	99	9	where	where	SCONJ
ejpam-5549	99	10	βij	βij	NOUN
ejpam-5549	99	11	represents	represent	VERB
ejpam-5549	99	12	a	a	DET
ejpam-5549	99	13	nonzero	nonzero	NOUN
ejpam-5549	99	14	scalar	scalar	NOUN
ejpam-5549	99	15	associated	associate	VERB
ejpam-5549	99	16	with	with	ADP
ejpam-5549	99	17	the	the	DET
ejpam-5549	99	18	edge	edge	NOUN
ejpam-5549	99	19	(	(	PUNCT
ejpam-5549	99	20	i	i	PROPN
ejpam-5549	99	21	,	,	PUNCT
ejpam-5549	99	22	j	j	PROPN
ejpam-5549	99	23	)	)	PUNCT
ejpam-5549	99	24	.	.	PUNCT
ejpam-5549	100	1	assuming	assume	VERB
ejpam-5549	100	2	that	that	SCONJ
ejpam-5549	100	3	the	the	DET
ejpam-5549	100	4	step	step	NOUN
ejpam-5549	100	5	size	size	NOUN
ejpam-5549	100	6	h	h	NOUN
ejpam-5549	100	7	adheres	adhere	VERB
ejpam-5549	100	8	to	to	ADP
ejpam-5549	100	9	condition	condition	NOUN
ejpam-5549	100	10	(	(	PUNCT
ejpam-5549	100	11	a1	a1	NOUN
ejpam-5549	100	12	)	)	PUNCT
ejpam-5549	100	13	and	and	CCONJ
ejpam-5549	100	14	that	that	SCONJ
ejpam-5549	100	15	|b|	|b|	PROPN
ejpam-5549	100	16	=	=	PUNCT
ejpam-5549	100	17	diag(|βij	diag(|βij	VERB
ejpam-5549	100	18	|	|	ADV
ejpam-5549	100	19	)	)	PUNCT
ejpam-5549	100	20	with	with	ADP
ejpam-5549	100	21	(	(	PUNCT
ejpam-5549	100	22	βij	βij	NOUN
ejpam-5549	100	23	)	)	PUNCT
ejpam-5549	100	24	∈	∈	PROPN
ejpam-5549	100	25	rm	rm	NOUN
ejpam-5549	100	26	,	,	PUNCT
ejpam-5549	100	27	it	it	PRON
ejpam-5549	100	28	follows	follow	VERB
ejpam-5549	100	29	that	that	SCONJ
ejpam-5549	100	30	the	the	DET
ejpam-5549	100	31	matrix	matrix	NOUN
ejpam-5549	100	32	i	i	PRON
ejpam-5549	100	33	m	m	VERB
ejpam-5549	100	34	+	+	PUNCT
ejpam-5549	100	35	h|b|q	h|b|q	ADJ
ejpam-5549	100	36	is	be	AUX
ejpam-5549	100	37	strictly	strictly	ADV
ejpam-5549	100	38	irreducible	irreducible	ADJ
ejpam-5549	100	39	and	and	CCONJ
ejpam-5549	100	40	aperiodic	aperiodic	ADJ
ejpam-5549	100	41	(	(	PUNCT
ejpam-5549	100	42	sia	sia	PROPN
ejpam-5549	100	43	)	)	PUNCT
ejpam-5549	100	44	,	,	PUNCT
ejpam-5549	100	45	where	where	SCONJ
ejpam-5549	100	46	−q	−q	NOUN
ejpam-5549	100	47	is	be	AUX
ejpam-5549	100	48	the	the	DET
ejpam-5549	100	49	laplacian	laplacian	ADJ
ejpam-5549	100	50	matrix	matrix	NOUN
ejpam-5549	100	51	of	of	ADP
ejpam-5549	100	52	the	the	DET
ejpam-5549	100	53	line	line	NOUN
ejpam-5549	100	54	graph	graph	NOUN
ejpam-5549	100	55	l(g	l(g	NOUN
ejpam-5549	100	56	)	)	PUNCT
ejpam-5549	100	57	.	.	PUNCT
ejpam-5549	101	1	specifically	specifically	ADV
ejpam-5549	101	2	,	,	PUNCT
ejpam-5549	101	3	the	the	DET
ejpam-5549	101	4	limit	limit	NOUN
ejpam-5549	101	5	limk→∞[im	limk→∞[im	VERB
ejpam-5549	101	6	+	+	CCONJ
ejpam-5549	101	7	h|b|q]k	h|b|q]k	PROPN
ejpam-5549	101	8	=	=	SYM
ejpam-5549	101	9	1myt	1myt	NUM
ejpam-5549	101	10	holds	hold	VERB
ejpam-5549	101	11	if	if	SCONJ
ejpam-5549	101	12	and	and	CCONJ
ejpam-5549	101	13	only	only	ADV
ejpam-5549	101	14	if	if	SCONJ
ejpam-5549	101	15	the	the	DET
ejpam-5549	101	16	communication	communication	NOUN
ejpam-5549	101	17	network	network	NOUN
ejpam-5549	101	18	g	g	PROPN
ejpam-5549	101	19	possesses	possess	VERB
ejpam-5549	101	20	a	a	DET
ejpam-5549	101	21	spanning	span	VERB
ejpam-5549	101	22	tree	tree	NOUN
ejpam-5549	101	23	.	.	PUNCT
ejpam-5549	102	1	moreover	moreover	ADV
ejpam-5549	102	2	,	,	PUNCT
ejpam-5549	102	3	it	it	PRON
ejpam-5549	102	4	can	can	AUX
ejpam-5549	102	5	be	be	AUX
ejpam-5549	102	6	established	establish	VERB
ejpam-5549	102	7	that	that	SCONJ
ejpam-5549	102	8	[	[	X
ejpam-5549	102	9	i	i	PRON
ejpam-5549	102	10	m	m	AUX
ejpam-5549	102	11	+	+	CCONJ
ejpam-5549	102	12	h|b|q]t	h|b|q]t	ADJ
ejpam-5549	102	13	y	y	PROPN
ejpam-5549	102	14	=	=	SYM
ejpam-5549	102	15	y	y	PROPN
ejpam-5549	102	16	and	and	CCONJ
ejpam-5549	102	17	1tmy	1tmy	NUM
ejpam-5549	102	18	=	=	SYM
ejpam-5549	102	19	1	1	NUM
ejpam-5549	102	20	,	,	PUNCT
ejpam-5549	102	21	where	where	SCONJ
ejpam-5549	102	22	each	each	DET
ejpam-5549	102	23	component	component	NOUN
ejpam-5549	102	24	of	of	ADP
ejpam-5549	102	25	the	the	DET
ejpam-5549	102	26	vector	vector	NOUN
ejpam-5549	102	27	y	y	PROPN
ejpam-5549	102	28	is	be	AUX
ejpam-5549	102	29	nonnegative	nonnegative	ADJ
ejpam-5549	102	30	.	.	PUNCT
ejpam-5549	103	1	c.	c.	PROPN
ejpam-5549	103	2	park	park	PROPN
ejpam-5549	103	3	,	,	PUNCT
ejpam-5549	103	4	s.	s.	PROPN
ejpam-5549	103	5	donganont	donganont	PROPN
ejpam-5549	103	6	and	and	CCONJ
ejpam-5549	103	7	m.	m.	PROPN
ejpam-5549	103	8	donganont	donganont	PROPN
ejpam-5549	103	9	/	/	SYM
ejpam-5549	103	10	eur	eur	PROPN
ejpam-5549	103	11	.	.	PUNCT
ejpam-5549	104	1	j.	j.	PROPN
ejpam-5549	104	2	pure	pure	PROPN
ejpam-5549	104	3	appl	appl	PROPN
ejpam-5549	104	4	.	.	PROPN
ejpam-5549	104	5	math	math	PROPN
ejpam-5549	104	6	,	,	PUNCT
ejpam-5549	104	7	18	18	NUM
ejpam-5549	104	8	(	(	PUNCT
ejpam-5549	104	9	1	1	NUM
ejpam-5549	104	10	)	)	PUNCT
ejpam-5549	104	11	(	(	PUNCT
ejpam-5549	104	12	2025	2025	NUM
ejpam-5549	104	13	)	)	PUNCT
ejpam-5549	104	14	,	,	PUNCT
ejpam-5549	104	15	5549	5549	NUM
ejpam-5549	104	16	6	6	NUM
ejpam-5549	104	17	of	of	ADP
ejpam-5549	104	18	16	16	NUM
ejpam-5549	104	19	proof	proof	NOUN
ejpam-5549	104	20	.	.	PUNCT
ejpam-5549	105	1	(	(	PUNCT
ejpam-5549	105	2	sufficiency	sufficiency	NOUN
ejpam-5549	105	3	)	)	PUNCT
ejpam-5549	105	4	since	since	SCONJ
ejpam-5549	105	5	0	0	NUM
ejpam-5549	105	6	<	<	X
ejpam-5549	105	7	h	h	X
ejpam-5549	105	8	<	<	X
ejpam-5549	105	9	(	(	PUNCT
ejpam-5549	105	10	∆βmax	∆βmax	NUM
ejpam-5549	105	11	)	)	PUNCT
ejpam-5549	105	12	−1	−1	NOUN
ejpam-5549	105	13	and	and	CCONJ
ejpam-5549	105	14	using	use	VERB
ejpam-5549	105	15	the	the	DET
ejpam-5549	105	16	fact	fact	NOUN
ejpam-5549	105	17	that	that	SCONJ
ejpam-5549	105	18	−q	−q	ADJ
ejpam-5549	105	19	=	=	SYM
ejpam-5549	105	20	l	l	NOUN
ejpam-5549	105	21	,	,	PUNCT
ejpam-5549	105	22	one	one	NOUN
ejpam-5549	105	23	obtains	obtain	VERB
ejpam-5549	105	24	i	i	PRON
ejpam-5549	105	25	m	m	VERB
ejpam-5549	105	26	+	+	ADV
ejpam-5549	105	27	h|b|q	h|b|q	PRON
ejpam-5549	105	28	=	=	PUNCT
ejpam-5549	106	1	i	i	NOUN
ejpam-5549	106	2	m	m	VERB
ejpam-5549	106	3	−	−	NOUN
ejpam-5549	106	4	h|b|l	h|b|l	PROPN
ejpam-5549	106	5	=	=	SYM
ejpam-5549	106	6	(	(	PUNCT
ejpam-5549	106	7	i	i	NOUN
ejpam-5549	106	8	m	m	VERB
ejpam-5549	106	9	−	−	NOUN
ejpam-5549	106	10	h|b|d	h|b|d	NOUN
ejpam-5549	106	11	)	)	PUNCT
ejpam-5549	107	1	+	+	CCONJ
ejpam-5549	107	2	h|b|a	h|b|a	NOUN
ejpam-5549	107	3	is	be	AUX
ejpam-5549	107	4	a	a	DET
ejpam-5549	107	5	stochastic	stochastic	ADJ
ejpam-5549	107	6	matrix	matrix	NOUN
ejpam-5549	107	7	with	with	ADP
ejpam-5549	107	8	positive	positive	ADJ
ejpam-5549	107	9	diagonal	diagonal	ADJ
ejpam-5549	107	10	entries	entry	NOUN
ejpam-5549	107	11	,	,	PUNCT
ejpam-5549	107	12	where	where	SCONJ
ejpam-5549	107	13	d	d	NOUN
ejpam-5549	107	14	=	=	PUNCT
ejpam-5549	107	15	diag(d1	diag(d1	NOUN
ejpam-5549	107	16	,	,	PUNCT
ejpam-5549	107	17	.	.	PUNCT
ejpam-5549	107	18	.	.	PUNCT
ejpam-5549	108	1	.	.	PUNCT
ejpam-5549	109	1	,	,	PUNCT
ejpam-5549	109	2	dm	dm	PROPN
ejpam-5549	109	3	)	)	PUNCT
ejpam-5549	109	4	and	and	CCONJ
ejpam-5549	109	5	a	a	PRON
ejpam-5549	109	6	are	be	AUX
ejpam-5549	109	7	the	the	DET
ejpam-5549	109	8	degree	degree	NOUN
ejpam-5549	109	9	matrix	matrix	NOUN
ejpam-5549	109	10	and	and	CCONJ
ejpam-5549	109	11	adjacency	adjacency	NOUN
ejpam-5549	109	12	matrix	matrix	NOUN
ejpam-5549	109	13	of	of	ADP
ejpam-5549	109	14	g	g	NOUN
ejpam-5549	109	15	,	,	PUNCT
ejpam-5549	109	16	respectively	respectively	ADV
ejpam-5549	109	17	.	.	PUNCT
ejpam-5549	110	1	obviously	obviously	ADV
ejpam-5549	110	2	,	,	PUNCT
ejpam-5549	110	3	for	for	ADP
ejpam-5549	110	4	all	all	DET
ejpam-5549	110	5	i	i	PRON
ejpam-5549	110	6	,	,	PUNCT
ejpam-5549	110	7	j	j	PROPN
ejpam-5549	110	8	∈	∈	PROPN
ejpam-5549	111	1	i	i	PRON
ejpam-5549	111	2	m	m	VERB
ejpam-5549	111	3	;	;	PUNCT
ejpam-5549	111	4	i	i	PROPN
ejpam-5549	111	5	̸=	̸=	PROPN
ejpam-5549	111	6	j	j	PROPN
ejpam-5549	111	7	,	,	PUNCT
ejpam-5549	111	8	the	the	DET
ejpam-5549	111	9	(	(	PUNCT
ejpam-5549	111	10	i	i	NOUN
ejpam-5549	111	11	,	,	PUNCT
ejpam-5549	111	12	j)th	j)th	PROPN
ejpam-5549	111	13	entry	entry	NOUN
ejpam-5549	111	14	of	of	ADP
ejpam-5549	111	15	i	i	PRON
ejpam-5549	111	16	m	m	VERB
ejpam-5549	111	17	−	−	PROPN
ejpam-5549	111	18	h|b|l	h|b|l	PROPN
ejpam-5549	111	19	is	be	AUX
ejpam-5549	111	20	positive	positive	ADJ
ejpam-5549	111	21	if	if	SCONJ
ejpam-5549	112	1	and	and	CCONJ
ejpam-5549	112	2	only	only	ADV
ejpam-5549	112	3	if	if	SCONJ
ejpam-5549	112	4	aij	aij	PROPN
ejpam-5549	112	5	>	>	X
ejpam-5549	112	6	0	0	NUM
ejpam-5549	112	7	.	.	PUNCT
ejpam-5549	113	1	then	then	ADV
ejpam-5549	113	2	,	,	PUNCT
ejpam-5549	113	3	g	g	PROPN
ejpam-5549	113	4	is	be	AUX
ejpam-5549	113	5	the	the	DET
ejpam-5549	113	6	graph	graph	NOUN
ejpam-5549	113	7	associated	associate	VERB
ejpam-5549	113	8	with	with	ADP
ejpam-5549	113	9	i	i	PROPN
ejpam-5549	113	10	m	m	VERB
ejpam-5549	113	11	−	−	NOUN
ejpam-5549	113	12	h|b|l	h|b|l	PROPN
ejpam-5549	113	13	.	.	PUNCT
ejpam-5549	114	1	combining	combine	VERB
ejpam-5549	114	2	lemma	lemma	PROPN
ejpam-5549	114	3	4	4	NUM
ejpam-5549	114	4	and	and	CCONJ
ejpam-5549	114	5	lemma	lemma	PROPN
ejpam-5549	114	6	5	5	NUM
ejpam-5549	114	7	,	,	PUNCT
ejpam-5549	114	8	gives	give	VERB
ejpam-5549	114	9	lim	lim	PROPN
ejpam-5549	114	10	k→∞	k→∞	NOUN
ejpam-5549	115	1	[	[	X
ejpam-5549	115	2	i	i	NOUN
ejpam-5549	115	3	m	m	VERB
ejpam-5549	115	4	−	−	NOUN
ejpam-5549	115	5	h|b|l]k	h|b|l]k	NOUN
ejpam-5549	115	6	=	=	SYM
ejpam-5549	115	7	lim	lim	PROPN
ejpam-5549	115	8	k→∞	k→∞	NOUN
ejpam-5549	116	1	[	[	X
ejpam-5549	116	2	i	i	PRON
ejpam-5549	116	3	m	m	VERB
ejpam-5549	116	4	+	+	CCONJ
ejpam-5549	116	5	h|b|q]k	h|b|q]k	PROPN
ejpam-5549	116	6	=	=	SYM
ejpam-5549	116	7	1myt	1myt	PROPN
ejpam-5549	116	8	,	,	PUNCT
ejpam-5549	116	9	when	when	SCONJ
ejpam-5549	116	10	g	g	PROPN
ejpam-5549	116	11	has	have	VERB
ejpam-5549	116	12	a	a	DET
ejpam-5549	116	13	spanning	span	VERB
ejpam-5549	116	14	tree	tree	NOUN
ejpam-5549	116	15	,	,	PUNCT
ejpam-5549	116	16	where	where	SCONJ
ejpam-5549	116	17	y	y	PROPN
ejpam-5549	116	18	is	be	AUX
ejpam-5549	116	19	nonnegative	nonnegative	ADJ
ejpam-5549	116	20	vector	vector	NOUN
ejpam-5549	116	21	.	.	PUNCT
ejpam-5549	117	1	moreover	moreover	ADV
ejpam-5549	117	2	,	,	PUNCT
ejpam-5549	117	3	y	y	PROPN
ejpam-5549	117	4	satisfies	satisfy	VERB
ejpam-5549	117	5	[	[	X
ejpam-5549	117	6	i	i	PRON
ejpam-5549	117	7	m	m	VERB
ejpam-5549	117	8	+	+	CCONJ
ejpam-5549	117	9	h|b|q]t	h|b|q]t	ADJ
ejpam-5549	117	10	y	y	PROPN
ejpam-5549	117	11	=	=	SYM
ejpam-5549	117	12	y	y	PROPN
ejpam-5549	117	13	,	,	PUNCT
ejpam-5549	117	14	1tmy	1tmy	NUM
ejpam-5549	117	15	=	=	SYM
ejpam-5549	117	16	1	1	NUM
ejpam-5549	117	17	.	.	PUNCT
ejpam-5549	118	1	(	(	PUNCT
ejpam-5549	118	2	necessary	necessary	ADJ
ejpam-5549	118	3	)	)	PUNCT
ejpam-5549	118	4	from	from	ADP
ejpam-5549	118	5	lemma	lemma	PROPN
ejpam-5549	118	6	4	4	NUM
ejpam-5549	118	7	,	,	PUNCT
ejpam-5549	118	8	if	if	SCONJ
ejpam-5549	118	9	g	g	PROPN
ejpam-5549	118	10	does	do	AUX
ejpam-5549	118	11	not	not	PART
ejpam-5549	118	12	contain	contain	VERB
ejpam-5549	118	13	a	a	DET
ejpam-5549	118	14	spanning	span	VERB
ejpam-5549	118	15	tree	tree	NOUN
ejpam-5549	118	16	,	,	PUNCT
ejpam-5549	118	17	the	the	DET
ejpam-5549	118	18	algebraic	algebraic	ADJ
ejpam-5549	118	19	multiplicity	multiplicity	NOUN
ejpam-5549	118	20	of	of	ADP
ejpam-5549	118	21	eigenvalue	eigenvalue	PROPN
ejpam-5549	118	22	λ	λ	PROPN
ejpam-5549	118	23	=	=	SYM
ejpam-5549	118	24	1	1	NUM
ejpam-5549	118	25	of	of	ADP
ejpam-5549	118	26	i	i	PRON
ejpam-5549	118	27	m	m	VERB
ejpam-5549	118	28	−	−	PROPN
ejpam-5549	118	29	h|b|l	h|b|l	PROPN
ejpam-5549	118	30	is	be	AUX
ejpam-5549	118	31	m	m	PRON
ejpam-5549	118	32	>	>	X
ejpam-5549	118	33	1	1	NUM
ejpam-5549	118	34	.	.	PUNCT
ejpam-5549	119	1	then	then	ADV
ejpam-5549	119	2	,	,	PUNCT
ejpam-5549	119	3	the	the	DET
ejpam-5549	119	4	rank	rank	NOUN
ejpam-5549	119	5	of	of	ADP
ejpam-5549	119	6	lim	lim	PROPN
ejpam-5549	119	7	k→∞	k→∞	NOUN
ejpam-5549	120	1	[	[	X
ejpam-5549	120	2	i	i	PRON
ejpam-5549	120	3	m	m	VERB
ejpam-5549	120	4	−	−	PROPN
ejpam-5549	120	5	h|b|l]k	h|b|l]k	NOUN
ejpam-5549	120	6	is	be	AUX
ejpam-5549	120	7	not	not	PART
ejpam-5549	120	8	equal	equal	ADJ
ejpam-5549	120	9	to	to	ADP
ejpam-5549	120	10	1	1	NUM
ejpam-5549	120	11	,	,	PUNCT
ejpam-5549	120	12	which	which	PRON
ejpam-5549	120	13	is	be	AUX
ejpam-5549	120	14	not	not	PART
ejpam-5549	120	15	equal	equal	ADJ
ejpam-5549	120	16	to	to	ADP
ejpam-5549	120	17	the	the	DET
ejpam-5549	120	18	rank	rank	NOUN
ejpam-5549	120	19	of	of	ADP
ejpam-5549	120	20	1ny	1ny	ADJ
ejpam-5549	120	21	t	t	PROPN
ejpam-5549	120	22	.	.	PUNCT
ejpam-5549	121	1	this	this	PRON
ejpam-5549	121	2	implies	imply	VERB
ejpam-5549	121	3	that	that	SCONJ
ejpam-5549	121	4	lim	lim	PROPN
ejpam-5549	121	5	k→∞	k→∞	NOUN
ejpam-5549	122	1	[	[	X
ejpam-5549	122	2	i	i	PRON
ejpam-5549	122	3	m	m	VERB
ejpam-5549	122	4	+	+	CCONJ
ejpam-5549	122	5	h|b|q]k	h|b|q]k	PROPN
ejpam-5549	122	6	=	=	SYM
ejpam-5549	122	7	lim	lim	PROPN
ejpam-5549	122	8	k→∞	k→∞	NOUN
ejpam-5549	123	1	[	[	X
ejpam-5549	123	2	i	i	NOUN
ejpam-5549	123	3	m	m	VERB
ejpam-5549	123	4	−	−	NOUN
ejpam-5549	123	5	h|b|l]k	h|b|l]k	NOUN
ejpam-5549	123	6	̸=	̸=	PROPN
ejpam-5549	123	7	1myt	1myt	NUM
ejpam-5549	123	8	.	.	PUNCT
ejpam-5549	124	1	therefore	therefore	ADV
ejpam-5549	124	2	,	,	PUNCT
ejpam-5549	124	3	i	i	PRON
ejpam-5549	124	4	m	m	VERB
ejpam-5549	124	5	+	+	PUNCT
ejpam-5549	124	6	h|b|q	h|b|q	ADJ
ejpam-5549	124	7	is	be	AUX
ejpam-5549	124	8	not	not	PART
ejpam-5549	124	9	sia	sia	PROPN
ejpam-5549	124	10	.	.	PUNCT
ejpam-5549	125	1	this	this	PRON
ejpam-5549	125	2	completes	complete	VERB
ejpam-5549	125	3	the	the	DET
ejpam-5549	125	4	proof	proof	NOUN
ejpam-5549	125	5	.	.	PUNCT
ejpam-5549	126	1	in	in	ADP
ejpam-5549	126	2	the	the	DET
ejpam-5549	126	3	following	following	NOUN
ejpam-5549	126	4	,	,	PUNCT
ejpam-5549	126	5	we	we	PRON
ejpam-5549	126	6	state	state	VERB
ejpam-5549	126	7	the	the	DET
ejpam-5549	126	8	main	main	ADJ
ejpam-5549	126	9	theoretical	theoretical	ADJ
ejpam-5549	126	10	results	result	NOUN
ejpam-5549	126	11	to	to	PART
ejpam-5549	126	12	solve	solve	VERB
ejpam-5549	126	13	scaled	scale	VERB
ejpam-5549	126	14	consensus	consensus	NOUN
ejpam-5549	126	15	of	of	ADP
ejpam-5549	126	16	edge	edge	NOUN
ejpam-5549	126	17	dynamics	dynamic	NOUN
ejpam-5549	126	18	using	use	VERB
ejpam-5549	126	19	the	the	DET
ejpam-5549	126	20	consensus	consensus	NOUN
ejpam-5549	126	21	protocol	protocol	NOUN
ejpam-5549	126	22	(	(	PUNCT
ejpam-5549	126	23	3.1	3.1	NUM
ejpam-5549	126	24	)	)	PUNCT
ejpam-5549	126	25	.	.	PUNCT
ejpam-5549	127	1	theorem	theorem	NOUN
ejpam-5549	127	2	1	1	X
ejpam-5549	127	3	.	.	PUNCT
ejpam-5549	127	4	consider	consider	VERB
ejpam-5549	127	5	an	an	DET
ejpam-5549	127	6	undirected	undirected	ADJ
ejpam-5549	127	7	network	network	NOUN
ejpam-5549	127	8	g	g	NOUN
ejpam-5549	127	9	with	with	ADP
ejpam-5549	127	10	n	n	ADP
ejpam-5549	127	11	nodes	node	NOUN
ejpam-5549	127	12	and	and	CCONJ
ejpam-5549	127	13	m	m	PRON
ejpam-5549	127	14	edges	edge	NOUN
ejpam-5549	127	15	,	,	PUNCT
ejpam-5549	127	16	where	where	SCONJ
ejpam-5549	127	17	the	the	DET
ejpam-5549	127	18	edge	edge	NOUN
ejpam-5549	127	19	dynamics	dynamic	NOUN
ejpam-5549	127	20	described	describe	VERB
ejpam-5549	127	21	as	as	ADP
ejpam-5549	127	22	(	(	PUNCT
ejpam-5549	127	23	2.1	2.1	NUM
ejpam-5549	127	24	)	)	PUNCT
ejpam-5549	127	25	.	.	PUNCT
ejpam-5549	128	1	if	if	SCONJ
ejpam-5549	128	2	the	the	DET
ejpam-5549	128	3	step	step	NOUN
ejpam-5549	128	4	size	size	NOUN
ejpam-5549	128	5	h	h	NOUN
ejpam-5549	128	6	satisfies	satisfie	NOUN
ejpam-5549	128	7	(	(	PUNCT
ejpam-5549	128	8	a1	a1	NOUN
ejpam-5549	128	9	)	)	PUNCT
ejpam-5549	128	10	,	,	PUNCT
ejpam-5549	128	11	then	then	ADV
ejpam-5549	128	12	,	,	PUNCT
ejpam-5549	128	13	for	for	ADP
ejpam-5549	128	14	any	any	DET
ejpam-5549	128	15	given	give	VERB
ejpam-5549	128	16	initial	initial	ADJ
ejpam-5549	128	17	states	state	NOUN
ejpam-5549	128	18	of	of	ADP
ejpam-5549	128	19	all	all	DET
ejpam-5549	128	20	edges	edge	NOUN
ejpam-5549	128	21	,	,	PUNCT
ejpam-5549	128	22	the	the	DET
ejpam-5549	128	23	protocol	protocol	NOUN
ejpam-5549	128	24	(	(	PUNCT
ejpam-5549	128	25	3.1	3.1	NUM
ejpam-5549	128	26	)	)	PUNCT
ejpam-5549	128	27	can	can	AUX
ejpam-5549	128	28	asymptotically	asymptotically	ADV
ejpam-5549	128	29	solve	solve	VERB
ejpam-5549	128	30	the	the	DET
ejpam-5549	128	31	edge	edge	NOUN
ejpam-5549	128	32	consensus	consensus	NOUN
ejpam-5549	128	33	if	if	SCONJ
ejpam-5549	128	34	and	and	CCONJ
ejpam-5549	128	35	only	only	ADV
ejpam-5549	128	36	if	if	SCONJ
ejpam-5549	128	37	g	g	PROPN
ejpam-5549	128	38	is	be	AUX
ejpam-5549	128	39	connected	connect	VERB
ejpam-5549	128	40	.	.	PUNCT
ejpam-5549	129	1	proof	proof	NOUN
ejpam-5549	129	2	.	.	PUNCT
ejpam-5549	130	1	we	we	PRON
ejpam-5549	130	2	first	first	ADV
ejpam-5549	130	3	show	show	VERB
ejpam-5549	130	4	that	that	SCONJ
ejpam-5549	130	5	equation	equation	NOUN
ejpam-5549	130	6	(	(	PUNCT
ejpam-5549	130	7	2.2	2.2	NUM
ejpam-5549	130	8	)	)	PUNCT
ejpam-5549	130	9	holds	hold	VERB
ejpam-5549	130	10	.	.	PUNCT
ejpam-5549	131	1	from	from	ADP
ejpam-5549	131	2	(	(	PUNCT
ejpam-5549	131	3	2.1	2.1	NUM
ejpam-5549	131	4	)	)	PUNCT
ejpam-5549	131	5	and	and	CCONJ
ejpam-5549	131	6	(	(	PUNCT
ejpam-5549	131	7	3.1	3.1	NUM
ejpam-5549	131	8	)	)	PUNCT
ejpam-5549	131	9	we	we	PRON
ejpam-5549	131	10	have	have	VERB
ejpam-5549	131	11	,	,	PUNCT
ejpam-5549	131	12	for	for	ADP
ejpam-5549	131	13	t	t	PROPN
ejpam-5549	131	14	∈	∈	PROPN
ejpam-5549	131	15	(	(	PUNCT
ejpam-5549	131	16	tk	tk	PROPN
ejpam-5549	131	17	,	,	PUNCT
ejpam-5549	131	18	tk+1],	tk+1],	PROPN
ejpam-5549	131	19	βijxij(t	βijxij(t	ADJ
ejpam-5549	131	20	)	)	PUNCT
ejpam-5549	131	21	=	=	SYM
ejpam-5549	131	22	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	131	23	)	)	PUNCT
ejpam-5549	132	1	+	+	CCONJ
ejpam-5549	132	2	(	(	PUNCT
ejpam-5549	132	3	t−	t−	PROPN
ejpam-5549	132	4	tk)|βij	tk)|βij	PROPN
ejpam-5549	133	1	|	|	NOUN
ejpam-5549	133	2	[	[	X
ejpam-5549	133	3	∑	∑	X
ejpam-5549	133	4	s∈ni	s∈ni	NOUN
ejpam-5549	133	5	ais[βisxis(tk)−	ais[βisxis(tk)−	NOUN
ejpam-5549	133	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	133	7	)	)	PUNCT
ejpam-5549	133	8	]	]	PUNCT
ejpam-5549	134	1	+	+	CCONJ
ejpam-5549	134	2	∑	∑	PUNCT
ejpam-5549	134	3	s∈nj	s∈nj	PROPN
ejpam-5549	134	4	ajs[xjs(tk)−	ajs[xjs(tk)−	PROPN
ejpam-5549	134	5	xij(tk	xij(tk	PROPN
ejpam-5549	134	6	)	)	PUNCT
ejpam-5549	134	7	]	]	PUNCT
ejpam-5549	134	8	]	]	PUNCT
ejpam-5549	134	9	,	,	PUNCT
ejpam-5549	134	10	for	for	ADP
ejpam-5549	134	11	(	(	PUNCT
ejpam-5549	134	12	i	i	PROPN
ejpam-5549	134	13	,	,	PUNCT
ejpam-5549	134	14	j	j	PROPN
ejpam-5549	134	15	)	)	PUNCT
ejpam-5549	134	16	∈	∈	PROPN
ejpam-5549	134	17	ec	ec	PROPN
ejpam-5549	134	18	,	,	PUNCT
ejpam-5549	134	19	βijxij(tk+1	βijxij(tk+1	NOUN
ejpam-5549	134	20	)	)	PUNCT
ejpam-5549	134	21	=	=	SYM
ejpam-5549	134	22	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	134	23	)	)	PUNCT
ejpam-5549	135	1	+	+	NUM
ejpam-5549	135	2	h	h	NOUN
ejpam-5549	135	3	·	·	PUNCT
ejpam-5549	135	4	|βij	|βij	ADJ
ejpam-5549	136	1	|	|	ADV
ejpam-5549	136	2	[	[	X
ejpam-5549	136	3	∑	∑	PART
ejpam-5549	136	4	s∈ni	s∈ni	NOUN
ejpam-5549	136	5	ais[βisxis(tk)−	ais[βisxis(tk)−	NOUN
ejpam-5549	136	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	136	7	)	)	PUNCT
ejpam-5549	136	8	]	]	PUNCT
ejpam-5549	137	1	+	+	CCONJ
ejpam-5549	137	2	∑	∑	PUNCT
ejpam-5549	137	3	s∈nj	s∈nj	PROPN
ejpam-5549	137	4	ajs[βjsxjs(tk)−	ajs[βjsxjs(tk)−	PROPN
ejpam-5549	137	5	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	137	6	)	)	PUNCT
ejpam-5549	137	7	]	]	PUNCT
ejpam-5549	137	8	]	]	PUNCT
ejpam-5549	137	9	,	,	PUNCT
ejpam-5549	137	10	for	for	ADP
ejpam-5549	137	11	(	(	PUNCT
ejpam-5549	137	12	i	i	PROPN
ejpam-5549	137	13	,	,	PUNCT
ejpam-5549	137	14	j	j	PROPN
ejpam-5549	137	15	)	)	PUNCT
ejpam-5549	137	16	∈	∈	PROPN
ejpam-5549	137	17	ed	ed	NOUN
ejpam-5549	137	18	.	.	PUNCT
ejpam-5549	138	1	(	(	PUNCT
ejpam-5549	138	2	3.3	3.3	NUM
ejpam-5549	138	3	)	)	PUNCT
ejpam-5549	138	4	therefore	therefore	ADV
ejpam-5549	138	5	,	,	PUNCT
ejpam-5549	138	6	it	it	PRON
ejpam-5549	138	7	follows	follow	VERB
ejpam-5549	138	8	that	that	PRON
ejpam-5549	138	9	βijxij(tk+1	βijxij(tk+1	NOUN
ejpam-5549	138	10	)	)	PUNCT
ejpam-5549	138	11	=	=	SYM
ejpam-5549	138	12	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	138	13	)	)	PUNCT
ejpam-5549	139	1	+	+	NUM
ejpam-5549	139	2	h	h	NOUN
ejpam-5549	139	3	·	·	PUNCT
ejpam-5549	139	4	|βij	|βij	NOUN
ejpam-5549	140	1	|	|	ADV
ejpam-5549	140	2	[	[	PUNCT
ejpam-5549	140	3	∑	∑	PUNCT
ejpam-5549	140	4	s∈ni	s∈ni	NOUN
ejpam-5549	140	5	ais[βisxis(tk)−	ais[βisxis(tk)−	NOUN
ejpam-5549	140	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	140	7	)	)	PUNCT
ejpam-5549	140	8	]	]	PUNCT
ejpam-5549	141	1	+	+	CCONJ
ejpam-5549	141	2	∑	∑	PUNCT
ejpam-5549	141	3	s∈nj	s∈nj	PROPN
ejpam-5549	141	4	ajs[βjsxjs(tk)−	ajs[βjsxjs(tk)−	PROPN
ejpam-5549	141	5	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	141	6	)	)	PUNCT
ejpam-5549	141	7	]	]	PUNCT
ejpam-5549	141	8	]	]	PUNCT
ejpam-5549	141	9	,	,	PUNCT
ejpam-5549	141	10	for	for	ADP
ejpam-5549	141	11	(	(	PUNCT
ejpam-5549	141	12	i	i	PROPN
ejpam-5549	141	13	,	,	PUNCT
ejpam-5549	141	14	j	j	PROPN
ejpam-5549	141	15	)	)	PUNCT
ejpam-5549	141	16	∈	∈	PROPN
ejpam-5549	141	17	ed	ed	NOUN
ejpam-5549	141	18	.	.	PUNCT
ejpam-5549	142	1	(	(	PUNCT
ejpam-5549	142	2	3.4	3.4	NUM
ejpam-5549	142	3	)	)	PUNCT
ejpam-5549	142	4	c.	c.	NOUN
ejpam-5549	142	5	park	park	PROPN
ejpam-5549	142	6	,	,	PUNCT
ejpam-5549	142	7	s.	s.	PROPN
ejpam-5549	142	8	donganont	donganont	PROPN
ejpam-5549	142	9	and	and	CCONJ
ejpam-5549	142	10	m.	m.	PROPN
ejpam-5549	142	11	donganont	donganont	PROPN
ejpam-5549	142	12	/	/	SYM
ejpam-5549	142	13	eur	eur	PROPN
ejpam-5549	142	14	.	.	PUNCT
ejpam-5549	143	1	j.	j.	PROPN
ejpam-5549	143	2	pure	pure	PROPN
ejpam-5549	143	3	appl	appl	PROPN
ejpam-5549	143	4	.	.	PROPN
ejpam-5549	143	5	math	math	PROPN
ejpam-5549	143	6	,	,	PUNCT
ejpam-5549	143	7	18	18	NUM
ejpam-5549	143	8	(	(	PUNCT
ejpam-5549	143	9	1	1	NUM
ejpam-5549	143	10	)	)	PUNCT
ejpam-5549	143	11	(	(	PUNCT
ejpam-5549	143	12	2025	2025	NUM
ejpam-5549	143	13	)	)	PUNCT
ejpam-5549	143	14	,	,	PUNCT
ejpam-5549	143	15	5549	5549	NUM
ejpam-5549	143	16	7	7	NUM
ejpam-5549	143	17	of	of	ADP
ejpam-5549	143	18	16	16	NUM
ejpam-5549	143	19	let	let	VERB
ejpam-5549	143	20	y	y	PROPN
ejpam-5549	143	21	=	=	SYM
ejpam-5549	143	22	(	(	PUNCT
ejpam-5549	143	23	βijxij	βijxij	NOUN
ejpam-5549	143	24	)	)	PUNCT
ejpam-5549	143	25	∈	∈	PROPN
ejpam-5549	143	26	rm	rm	NOUN
ejpam-5549	143	27	,	,	PUNCT
ejpam-5549	143	28	i	i	PRON
ejpam-5549	143	29	=	=	NOUN
ejpam-5549	143	30	1	1	NUM
ejpam-5549	143	31	,	,	PUNCT
ejpam-5549	143	32	2	2	NUM
ejpam-5549	143	33	,	,	PUNCT
ejpam-5549	143	34	.	.	PUNCT
ejpam-5549	143	35	.	.	PUNCT
ejpam-5549	144	1	.	.	PUNCT
ejpam-5549	145	1	,	,	PUNCT
ejpam-5549	145	2	n	n	CCONJ
ejpam-5549	145	3	,	,	PUNCT
ejpam-5549	145	4	i	i	PRON
ejpam-5549	145	5	<	<	X
ejpam-5549	145	6	j	j	PROPN
ejpam-5549	145	7	and	and	CCONJ
ejpam-5549	145	8	βij	βij	PROPN
ejpam-5549	145	9	̸=	̸=	PROPN
ejpam-5549	145	10	0	0	NUM
ejpam-5549	145	11	.	.	PUNCT
ejpam-5549	146	1	then	then	ADV
ejpam-5549	146	2	,	,	PUNCT
ejpam-5549	146	3	equation	equation	NOUN
ejpam-5549	146	4	(	(	PUNCT
ejpam-5549	146	5	3.4	3.4	NUM
ejpam-5549	146	6	)	)	PUNCT
ejpam-5549	146	7	can	can	AUX
ejpam-5549	146	8	be	be	AUX
ejpam-5549	146	9	written	write	VERB
ejpam-5549	146	10	as	as	ADP
ejpam-5549	146	11	y	y	PROPN
ejpam-5549	146	12	(	(	PUNCT
ejpam-5549	146	13	tk+1	tk+1	PROPN
ejpam-5549	146	14	)	)	PUNCT
ejpam-5549	146	15	=	=	NOUN
ejpam-5549	147	1	[	[	X
ejpam-5549	147	2	i	i	PRON
ejpam-5549	147	3	m	m	VERB
ejpam-5549	147	4	+	+	VERB
ejpam-5549	147	5	h|b|q]y	h|b|q]y	PROPN
ejpam-5549	147	6	(	(	PUNCT
ejpam-5549	147	7	tk	tk	PROPN
ejpam-5549	147	8	)	)	PUNCT
ejpam-5549	147	9	,	,	PUNCT
ejpam-5549	147	10	(	(	PUNCT
ejpam-5549	147	11	3.5	3.5	NUM
ejpam-5549	147	12	)	)	PUNCT
ejpam-5549	147	13	where	where	SCONJ
ejpam-5549	147	14	h	h	NOUN
ejpam-5549	147	15	is	be	AUX
ejpam-5549	147	16	a	a	DET
ejpam-5549	147	17	step	step	NOUN
ejpam-5549	147	18	size	size	NOUN
ejpam-5549	147	19	,	,	PUNCT
ejpam-5549	147	20	i	i	PRON
ejpam-5549	147	21	m	m	VERB
ejpam-5549	147	22	is	be	AUX
ejpam-5549	147	23	an	an	DET
ejpam-5549	147	24	identity	identity	NOUN
ejpam-5549	147	25	matrix	matrix	NOUN
ejpam-5549	147	26	,	,	PUNCT
ejpam-5549	147	27	|b|	|b|	PROPN
ejpam-5549	147	28	=	=	AUX
ejpam-5549	147	29	diag(|βij	diag(|βij	VERB
ejpam-5549	147	30	|	|	ADV
ejpam-5549	147	31	)	)	PUNCT
ejpam-5549	147	32	and	and	CCONJ
ejpam-5549	147	33	q	q	NOUN
ejpam-5549	147	34	is	be	AUX
ejpam-5549	147	35	a	a	DET
ejpam-5549	147	36	zero	zero	NUM
ejpam-5549	147	37	-	-	PUNCT
ejpam-5549	147	38	row	row	NOUN
ejpam-5549	147	39	-	-	PUNCT
ejpam-5549	147	40	sum	sum	NOUN
ejpam-5549	147	41	symmetric	symmetric	ADJ
ejpam-5549	147	42	matrix	matrix	NOUN
ejpam-5549	147	43	with	with	ADP
ejpam-5549	147	44	nonnegative	nonnegative	ADJ
ejpam-5549	147	45	off	off	ADP
ejpam-5549	147	46	-	-	PUNCT
ejpam-5549	147	47	diagonal	diagonal	ADJ
ejpam-5549	147	48	elements	element	NOUN
ejpam-5549	147	49	and	and	CCONJ
ejpam-5549	147	50	the	the	DET
ejpam-5549	147	51	diagonal	diagonal	ADJ
ejpam-5549	147	52	elements	element	NOUN
ejpam-5549	147	53	are	be	AUX
ejpam-5549	147	54	−	−	NOUN
ejpam-5549	147	55	{	{	PUNCT
ejpam-5549	147	56	∑	∑	PUNCT
ejpam-5549	147	57	s∈ni	s∈ni	NOUN
ejpam-5549	147	58	,	,	PUNCT
ejpam-5549	147	59	s	s	PART
ejpam-5549	147	60	̸=j	̸=j	PROPN
ejpam-5549	147	61	ais	ais	X
ejpam-5549	147	62	+	+	CCONJ
ejpam-5549	147	63	∑	∑	PROPN
ejpam-5549	147	64	s∈nj	s∈nj	PROPN
ejpam-5549	147	65	,	,	PUNCT
ejpam-5549	147	66	s	s	PART
ejpam-5549	147	67	̸=i	̸=i	PROPN
ejpam-5549	147	68	ajs	ajs	PROPN
ejpam-5549	147	69	}	}	PUNCT
ejpam-5549	147	70	.	.	PUNCT
ejpam-5549	148	1	since	since	SCONJ
ejpam-5549	148	2	the	the	DET
ejpam-5549	148	3	step	step	NOUN
ejpam-5549	148	4	size	size	NOUN
ejpam-5549	148	5	h	h	NOUN
ejpam-5549	148	6	satisfies	satisfie	NOUN
ejpam-5549	148	7	(	(	PUNCT
ejpam-5549	148	8	a1	a1	NOUN
ejpam-5549	148	9	)	)	PUNCT
ejpam-5549	148	10	once	once	ADV
ejpam-5549	148	11	obtains	obtain	VERB
ejpam-5549	148	12	that	that	SCONJ
ejpam-5549	148	13	[	[	X
ejpam-5549	148	14	im+hb	im+hb	X
ejpam-5549	148	15	]	]	PUNCT
ejpam-5549	148	16	is	be	AUX
ejpam-5549	148	17	a	a	DET
ejpam-5549	148	18	doubly	doubly	ADV
ejpam-5549	148	19	stochastic	stochastic	ADJ
ejpam-5549	148	20	matrix	matrix	NOUN
ejpam-5549	148	21	.	.	PUNCT
ejpam-5549	149	1	moreover	moreover	ADV
ejpam-5549	149	2	,	,	PUNCT
ejpam-5549	149	3	since	since	SCONJ
ejpam-5549	149	4	g	g	PROPN
ejpam-5549	149	5	is	be	AUX
ejpam-5549	149	6	an	an	DET
ejpam-5549	149	7	undirected	undirected	ADJ
ejpam-5549	149	8	and	and	CCONJ
ejpam-5549	149	9	connected	connect	VERB
ejpam-5549	149	10	,	,	PUNCT
ejpam-5549	149	11	which	which	PRON
ejpam-5549	149	12	implies	imply	VERB
ejpam-5549	149	13	that	that	SCONJ
ejpam-5549	149	14	g	g	PROPN
ejpam-5549	149	15	contains	contain	VERB
ejpam-5549	149	16	a	a	DET
ejpam-5549	149	17	spanning	span	VERB
ejpam-5549	149	18	tree	tree	NOUN
ejpam-5549	149	19	.	.	PUNCT
ejpam-5549	150	1	hence	hence	ADV
ejpam-5549	150	2	,	,	PUNCT
ejpam-5549	150	3	by	by	ADP
ejpam-5549	150	4	lemma	lemma	PROPN
ejpam-5549	150	5	6	6	NUM
ejpam-5549	150	6	,	,	PUNCT
ejpam-5549	150	7	there	there	PRON
ejpam-5549	150	8	exists	exist	VERB
ejpam-5549	150	9	a	a	DET
ejpam-5549	150	10	column	column	NOUN
ejpam-5549	150	11	vector	vector	NOUN
ejpam-5549	150	12	v	v	ADP
ejpam-5549	150	13	such	such	ADJ
ejpam-5549	150	14	that	that	SCONJ
ejpam-5549	150	15	lim	lim	PROPN
ejpam-5549	150	16	k→∞	k→∞	NOUN
ejpam-5549	151	1	[	[	X
ejpam-5549	151	2	i	i	PRON
ejpam-5549	151	3	m	m	VERB
ejpam-5549	151	4	+	+	CCONJ
ejpam-5549	151	5	h|b|q]k	h|b|q]k	PROPN
ejpam-5549	151	6	=	=	SYM
ejpam-5549	151	7	1mvt	1mvt	NUM
ejpam-5549	151	8	.	.	PUNCT
ejpam-5549	152	1	thus	thus	ADV
ejpam-5549	152	2	,	,	PUNCT
ejpam-5549	152	3	lim	lim	PROPN
ejpam-5549	152	4	k→∞	k→∞	PROPN
ejpam-5549	152	5	y	y	PROPN
ejpam-5549	152	6	(	(	PUNCT
ejpam-5549	152	7	tk	tk	PROPN
ejpam-5549	152	8	)	)	PUNCT
ejpam-5549	152	9	=	=	PROPN
ejpam-5549	152	10	lim	lim	PROPN
ejpam-5549	152	11	k→∞	k→∞	NOUN
ejpam-5549	153	1	[	[	X
ejpam-5549	153	2	i	i	PRON
ejpam-5549	153	3	m	m	VERB
ejpam-5549	153	4	+	+	VERB
ejpam-5549	153	5	h|b|q]ky	h|b|q]ky	NUM
ejpam-5549	153	6	(	(	PUNCT
ejpam-5549	153	7	t0	t0	NOUN
ejpam-5549	153	8	)	)	PUNCT
ejpam-5549	153	9	=	=	SYM
ejpam-5549	154	1	1mvty	1mvty	NUM
ejpam-5549	154	2	(	(	PUNCT
ejpam-5549	154	3	t0	t0	PROPN
ejpam-5549	154	4	)	)	PUNCT
ejpam-5549	154	5	,	,	PUNCT
ejpam-5549	154	6	(	(	PUNCT
ejpam-5549	154	7	3.6	3.6	NUM
ejpam-5549	154	8	)	)	PUNCT
ejpam-5549	154	9	which	which	PRON
ejpam-5549	154	10	implies	imply	VERB
ejpam-5549	154	11	that	that	SCONJ
ejpam-5549	154	12	the	the	DET
ejpam-5549	154	13	equation	equation	NOUN
ejpam-5549	154	14	(	(	PUNCT
ejpam-5549	154	15	2.2	2.2	NUM
ejpam-5549	154	16	)	)	PUNCT
ejpam-5549	154	17	holds	hold	VERB
ejpam-5549	154	18	.	.	PUNCT
ejpam-5549	155	1	now	now	ADV
ejpam-5549	155	2	,	,	PUNCT
ejpam-5549	155	3	we	we	PRON
ejpam-5549	155	4	will	will	AUX
ejpam-5549	155	5	show	show	VERB
ejpam-5549	155	6	that	that	SCONJ
ejpam-5549	155	7	lim	lim	PROPN
ejpam-5549	155	8	t→∞	t→∞	ADP
ejpam-5549	155	9	∥βijxij(t)−	∥βijxij(t)−	PROPN
ejpam-5549	155	10	βksxks(t)∥	βksxks(t)∥	PROPN
ejpam-5549	155	11	=	=	SYM
ejpam-5549	155	12	0	0	NUM
ejpam-5549	155	13	,	,	PUNCT
ejpam-5549	155	14	for	for	ADP
ejpam-5549	155	15	all	all	PRON
ejpam-5549	155	16	(	(	PUNCT
ejpam-5549	155	17	i	i	PROPN
ejpam-5549	155	18	,	,	PUNCT
ejpam-5549	155	19	j	j	PROPN
ejpam-5549	155	20	)	)	PUNCT
ejpam-5549	155	21	,	,	PUNCT
ejpam-5549	155	22	(	(	PUNCT
ejpam-5549	155	23	k	k	X
ejpam-5549	155	24	,	,	PUNCT
ejpam-5549	155	25	s	s	X
ejpam-5549	155	26	)	)	PUNCT
ejpam-5549	155	27	∈	∈	PROPN
ejpam-5549	155	28	ec	ec	PROPN
ejpam-5549	155	29	.	.	PUNCT
ejpam-5549	156	1	consider	consider	VERB
ejpam-5549	156	2	,	,	PUNCT
ejpam-5549	156	3	for	for	ADP
ejpam-5549	156	4	(	(	PUNCT
ejpam-5549	156	5	i	i	PROPN
ejpam-5549	156	6	,	,	PUNCT
ejpam-5549	156	7	j	j	PROPN
ejpam-5549	156	8	)	)	PUNCT
ejpam-5549	156	9	,	,	PUNCT
ejpam-5549	156	10	(	(	PUNCT
ejpam-5549	156	11	k	k	X
ejpam-5549	156	12	,	,	PUNCT
ejpam-5549	156	13	s	s	X
ejpam-5549	156	14	)	)	PUNCT
ejpam-5549	156	15	∈	∈	PROPN
ejpam-5549	156	16	ec	ec	PROPN
ejpam-5549	156	17	,	,	PUNCT
ejpam-5549	156	18	∥βijxij(t)−	∥βijxij(t)−	PROPN
ejpam-5549	156	19	βksxks(t)∥	βksxks(t)∥	PROPN
ejpam-5549	156	20	≤	≤	NOUN
ejpam-5549	156	21	∥βijxij(t)−	∥βijxij(t)−	NUM
ejpam-5549	156	22	βijxij(tk)∥+	βijxij(tk)∥+	ADJ
ejpam-5549	157	1	∥βijxij(tk)−	∥βijxij(tk)−	NUM
ejpam-5549	157	2	βksxks(tk)∥	βksxks(tk)∥	NOUN
ejpam-5549	157	3	+	+	CCONJ
ejpam-5549	157	4	∥βksxks(tk)−	∥βksxks(tk)−	NOUN
ejpam-5549	157	5	βksxks(t)∥.	βksxks(t)∥.	NUM
ejpam-5549	157	6	(	(	PUNCT
ejpam-5549	157	7	3.7	3.7	NUM
ejpam-5549	157	8	)	)	PUNCT
ejpam-5549	157	9	from	from	ADP
ejpam-5549	157	10	equation	equation	NOUN
ejpam-5549	157	11	(	(	PUNCT
ejpam-5549	157	12	3.3	3.3	NUM
ejpam-5549	157	13	)	)	PUNCT
ejpam-5549	157	14	,	,	PUNCT
ejpam-5549	157	15	one	one	NUM
ejpam-5549	157	16	obtains	obtain	VERB
ejpam-5549	157	17	,	,	PUNCT
ejpam-5549	157	18	for	for	ADP
ejpam-5549	157	19	t	t	PROPN
ejpam-5549	157	20	∈	∈	PROPN
ejpam-5549	157	21	(	(	PUNCT
ejpam-5549	157	22	tk	tk	PROPN
ejpam-5549	157	23	,	,	PUNCT
ejpam-5549	157	24	tk+1	tk+1	PROPN
ejpam-5549	157	25	]	]	PUNCT
ejpam-5549	157	26	,	,	PUNCT
ejpam-5549	157	27	∥βijxij(t)−	∥βijxij(t)−	PROPN
ejpam-5549	157	28	βijxij(tk)∥	βijxij(tk)∥	NOUN
ejpam-5549	157	29	≤	≤	NUM
ejpam-5549	157	30	h	h	PROPN
ejpam-5549	157	31	·	·	PUNCT
ejpam-5549	157	32	|βij	|βij	NOUN
ejpam-5549	157	33	|	|	ADV
ejpam-5549	157	34	[	[	PUNCT
ejpam-5549	157	35	∑	∑	PUNCT
ejpam-5549	157	36	s∈ni	s∈ni	NOUN
ejpam-5549	157	37	ais∥βisxis(tk)−	ais∥βisxis(tk)−	NOUN
ejpam-5549	157	38	βijxij(tk)∥	βijxij(tk)∥	NOUN
ejpam-5549	157	39	+	+	CCONJ
ejpam-5549	157	40	∑	∑	PUNCT
ejpam-5549	157	41	s∈nj	s∈nj	NOUN
ejpam-5549	157	42	ajs∥βjsxjs(tk)−	ajs∥βjsxjs(tk)−	NOUN
ejpam-5549	157	43	βijxij(tk)∥	βijxij(tk)∥	NOUN
ejpam-5549	157	44	]	]	PUNCT
ejpam-5549	157	45	.	.	PUNCT
ejpam-5549	158	1	as	as	ADP
ejpam-5549	158	2	t	t	PROPN
ejpam-5549	158	3	→	→	SYM
ejpam-5549	158	4	∞	∞	PROPN
ejpam-5549	158	5	,	,	PUNCT
ejpam-5549	158	6	we	we	PRON
ejpam-5549	158	7	have	have	VERB
ejpam-5549	158	8	tk	tk	PROPN
ejpam-5549	158	9	→	→	SYM
ejpam-5549	158	10	∞.	∞.	PROPN
ejpam-5549	158	11	thus	thus	ADV
ejpam-5549	158	12	,	,	PUNCT
ejpam-5549	158	13	lim	lim	PROPN
ejpam-5549	158	14	t→∞	t→∞	ADP
ejpam-5549	158	15	∥βijxij(t)−	∥βijxij(t)−	PROPN
ejpam-5549	158	16	βijxij(tk)∥	βijxij(tk)∥	NOUN
ejpam-5549	158	17	=	=	SYM
ejpam-5549	158	18	0	0	NUM
ejpam-5549	158	19	∀	∀	X
ejpam-5549	158	20	(	(	PUNCT
ejpam-5549	158	21	i	i	PROPN
ejpam-5549	158	22	,	,	PUNCT
ejpam-5549	158	23	j	j	PROPN
ejpam-5549	158	24	)	)	PUNCT
ejpam-5549	158	25	∈	∈	PROPN
ejpam-5549	158	26	ec	ec	PROPN
ejpam-5549	158	27	.	.	PUNCT
ejpam-5549	159	1	taking	take	VERB
ejpam-5549	159	2	the	the	DET
ejpam-5549	159	3	limit	limit	NOUN
ejpam-5549	159	4	as	as	ADP
ejpam-5549	159	5	t	t	PROPN
ejpam-5549	159	6	→	→	SYM
ejpam-5549	159	7	∞	∞	PROPN
ejpam-5549	159	8	on	on	ADP
ejpam-5549	159	9	both	both	DET
ejpam-5549	159	10	sides	side	NOUN
ejpam-5549	159	11	of	of	ADP
ejpam-5549	159	12	equation	equation	NOUN
ejpam-5549	159	13	(	(	PUNCT
ejpam-5549	159	14	3.7	3.7	NUM
ejpam-5549	159	15	)	)	PUNCT
ejpam-5549	159	16	,	,	PUNCT
ejpam-5549	159	17	one	one	PRON
ejpam-5549	159	18	obtains	obtain	VERB
ejpam-5549	159	19	lim	lim	PROPN
ejpam-5549	159	20	t→∞	t→∞	ADP
ejpam-5549	159	21	∥βijxij(t)−	∥βijxij(t)−	PROPN
ejpam-5549	159	22	βksxks(t)∥	βksxks(t)∥	PROPN
ejpam-5549	160	1	=	=	SYM
ejpam-5549	160	2	0	0	NUM
ejpam-5549	160	3	,	,	PUNCT
ejpam-5549	160	4	∀(i	∀(i	NUM
ejpam-5549	160	5	,	,	PUNCT
ejpam-5549	160	6	j	j	PROPN
ejpam-5549	160	7	)	)	PUNCT
ejpam-5549	160	8	,	,	PUNCT
ejpam-5549	160	9	(	(	PUNCT
ejpam-5549	160	10	k	k	X
ejpam-5549	160	11	,	,	PUNCT
ejpam-5549	160	12	s	s	X
ejpam-5549	160	13	)	)	PUNCT
ejpam-5549	160	14	∈	∈	PROPN
ejpam-5549	160	15	ec	ec	PROPN
ejpam-5549	160	16	.	.	PUNCT
ejpam-5549	161	1	this	this	PRON
ejpam-5549	161	2	implies	imply	VERB
ejpam-5549	161	3	that	that	SCONJ
ejpam-5549	161	4	equation	equation	NOUN
ejpam-5549	161	5	(	(	PUNCT
ejpam-5549	161	6	2.3	2.3	NUM
ejpam-5549	161	7	)	)	PUNCT
ejpam-5549	161	8	holds	hold	VERB
ejpam-5549	161	9	.	.	PUNCT
ejpam-5549	162	1	therefore	therefore	ADV
ejpam-5549	162	2	,	,	PUNCT
ejpam-5549	162	3	the	the	DET
ejpam-5549	162	4	system	system	NOUN
ejpam-5549	162	5	(	(	PUNCT
ejpam-5549	162	6	2.1	2.1	NUM
ejpam-5549	162	7	)	)	PUNCT
ejpam-5549	162	8	under	under	ADP
ejpam-5549	162	9	protocol	protocol	NOUN
ejpam-5549	162	10	(	(	PUNCT
ejpam-5549	162	11	3.1	3.1	NUM
ejpam-5549	162	12	)	)	PUNCT
ejpam-5549	162	13	reaches	reach	VERB
ejpam-5549	162	14	edge	edge	NOUN
ejpam-5549	162	15	consensus	consensus	NOUN
ejpam-5549	162	16	.	.	PUNCT
ejpam-5549	163	1	c.	c.	PROPN
ejpam-5549	163	2	park	park	PROPN
ejpam-5549	163	3	,	,	PUNCT
ejpam-5549	163	4	s.	s.	PROPN
ejpam-5549	163	5	donganont	donganont	PROPN
ejpam-5549	163	6	and	and	CCONJ
ejpam-5549	163	7	m.	m.	PROPN
ejpam-5549	163	8	donganont	donganont	PROPN
ejpam-5549	163	9	/	/	SYM
ejpam-5549	163	10	eur	eur	PROPN
ejpam-5549	163	11	.	.	PUNCT
ejpam-5549	164	1	j.	j.	PROPN
ejpam-5549	164	2	pure	pure	PROPN
ejpam-5549	164	3	appl	appl	PROPN
ejpam-5549	164	4	.	.	PROPN
ejpam-5549	164	5	math	math	PROPN
ejpam-5549	164	6	,	,	PUNCT
ejpam-5549	164	7	18	18	NUM
ejpam-5549	164	8	(	(	PUNCT
ejpam-5549	164	9	1	1	NUM
ejpam-5549	164	10	)	)	PUNCT
ejpam-5549	164	11	(	(	PUNCT
ejpam-5549	164	12	2025	2025	NUM
ejpam-5549	164	13	)	)	PUNCT
ejpam-5549	164	14	,	,	PUNCT
ejpam-5549	164	15	5549	5549	NUM
ejpam-5549	164	16	8	8	NUM
ejpam-5549	164	17	of	of	ADP
ejpam-5549	164	18	16	16	NUM
ejpam-5549	164	19	3.2	3.2	NUM
ejpam-5549	164	20	.	.	PUNCT
ejpam-5549	165	1	directed	direct	VERB
ejpam-5549	165	2	communication	communication	NOUN
ejpam-5549	165	3	networks	network	NOUN
ejpam-5549	165	4	to	to	PART
ejpam-5549	165	5	address	address	VERB
ejpam-5549	165	6	the	the	DET
ejpam-5549	165	7	edge	edge	NOUN
ejpam-5549	165	8	consensus	consensus	NOUN
ejpam-5549	165	9	problems	problem	NOUN
ejpam-5549	165	10	,	,	PUNCT
ejpam-5549	165	11	we	we	PRON
ejpam-5549	165	12	employ	employ	VERB
ejpam-5549	165	13	a	a	DET
ejpam-5549	165	14	transformation	transformation	NOUN
ejpam-5549	165	15	of	of	ADP
ejpam-5549	165	16	the	the	DET
ejpam-5549	165	17	original	original	ADJ
ejpam-5549	165	18	node	node	NOUN
ejpam-5549	165	19	graph	graph	NOUN
ejpam-5549	165	20	into	into	ADP
ejpam-5549	165	21	its	its	PRON
ejpam-5549	165	22	corresponding	corresponding	ADJ
ejpam-5549	165	23	line	line	NOUN
ejpam-5549	165	24	graph	graph	NOUN
ejpam-5549	165	25	,	,	PUNCT
ejpam-5549	165	26	utilizing	utilize	VERB
ejpam-5549	165	27	the	the	DET
ejpam-5549	165	28	established	establish	VERB
ejpam-5549	165	29	concept	concept	NOUN
ejpam-5549	165	30	of	of	ADP
ejpam-5549	165	31	line	line	NOUN
ejpam-5549	165	32	graphs	graph	NOUN
ejpam-5549	165	33	[	[	X
ejpam-5549	165	34	5	5	NUM
ejpam-5549	165	35	]	]	PUNCT
ejpam-5549	165	36	.	.	PUNCT
ejpam-5549	166	1	according	accord	VERB
ejpam-5549	166	2	to	to	ADP
ejpam-5549	166	3	reference	reference	NOUN
ejpam-5549	166	4	[	[	X
ejpam-5549	166	5	5	5	NUM
ejpam-5549	166	6	]	]	PUNCT
ejpam-5549	166	7	,	,	PUNCT
ejpam-5549	166	8	the	the	DET
ejpam-5549	166	9	line	line	NOUN
ejpam-5549	166	10	graph	graph	NOUN
ejpam-5549	166	11	l(g	l(g	NOUN
ejpam-5549	166	12	)	)	PUNCT
ejpam-5549	166	13	of	of	ADP
ejpam-5549	166	14	a	a	DET
ejpam-5549	166	15	directed	direct	VERB
ejpam-5549	166	16	graph	graph	NOUN
ejpam-5549	166	17	g	g	PROPN
ejpam-5549	166	18	is	be	AUX
ejpam-5549	166	19	itself	itself	PRON
ejpam-5549	166	20	a	a	DET
ejpam-5549	166	21	directed	direct	VERB
ejpam-5549	166	22	graph	graph	NOUN
ejpam-5549	166	23	characterized	characterize	VERB
ejpam-5549	166	24	by	by	ADP
ejpam-5549	166	25	∑n	∑n	PROPN
ejpam-5549	166	26	i=1	i=1	PROPN
ejpam-5549	167	1	d	d	NOUN
ejpam-5549	167	2	i	i	PRON
ejpam-5549	167	3	in	in	ADP
ejpam-5549	167	4	vertices	vertex	NOUN
ejpam-5549	167	5	and	and	CCONJ
ejpam-5549	168	1	∑n	∑n	PROPN
ejpam-5549	168	2	i=1	i=1	X
ejpam-5549	169	1	d	d	NOUN
ejpam-5549	169	2	i	i	PRON
ejpam-5549	169	3	ind	ind	VERB
ejpam-5549	169	4	i	i	PRON
ejpam-5549	169	5	out	out	ADP
ejpam-5549	169	6	edges	edge	NOUN
ejpam-5549	169	7	,	,	PUNCT
ejpam-5549	169	8	where	where	SCONJ
ejpam-5549	169	9	diin	diin	NOUN
ejpam-5549	169	10	and	and	CCONJ
ejpam-5549	169	11	diout	diout	NOUN
ejpam-5549	169	12	denote	denote	VERB
ejpam-5549	169	13	the	the	DET
ejpam-5549	169	14	in	in	ADP
ejpam-5549	169	15	-	-	PUNCT
ejpam-5549	169	16	degree	degree	NOUN
ejpam-5549	169	17	and	and	CCONJ
ejpam-5549	169	18	out	out	NOUN
ejpam-5549	169	19	-	-	PUNCT
ejpam-5549	169	20	degree	degree	NOUN
ejpam-5549	169	21	of	of	ADP
ejpam-5549	169	22	node	node	PROPN
ejpam-5549	169	23	i	i	PROPN
ejpam-5549	169	24	,	,	PUNCT
ejpam-5549	169	25	respectively	respectively	ADV
ejpam-5549	169	26	.	.	PUNCT
ejpam-5549	170	1	the	the	DET
ejpam-5549	170	2	transformation	transformation	NOUN
ejpam-5549	170	3	process	process	NOUN
ejpam-5549	170	4	from	from	ADP
ejpam-5549	170	5	a	a	DET
ejpam-5549	170	6	directed	direct	VERB
ejpam-5549	170	7	graph	graph	NOUN
ejpam-5549	170	8	to	to	ADP
ejpam-5549	170	9	its	its	PRON
ejpam-5549	170	10	line	line	NOUN
ejpam-5549	170	11	graph	graph	NOUN
ejpam-5549	170	12	is	be	AUX
ejpam-5549	170	13	delineated	delineate	VERB
ejpam-5549	170	14	in	in	ADP
ejpam-5549	170	15	three	three	NUM
ejpam-5549	170	16	distinct	distinct	ADJ
ejpam-5549	170	17	steps	step	NOUN
ejpam-5549	170	18	[	[	X
ejpam-5549	170	19	19	19	NUM
ejpam-5549	170	20	]	]	PRON
ejpam-5549	170	21	:	:	PUNCT
ejpam-5549	170	22	step	step	NOUN
ejpam-5549	170	23	1	1	NUM
ejpam-5549	170	24	:	:	PUNCT
ejpam-5549	170	25	an	an	DET
ejpam-5549	170	26	edge	edge	NOUN
ejpam-5549	170	27	(	(	PUNCT
ejpam-5549	170	28	i	i	PROPN
ejpam-5549	170	29	,	,	PUNCT
ejpam-5549	170	30	j	j	PROPN
ejpam-5549	170	31	)	)	PUNCT
ejpam-5549	170	32	in	in	ADP
ejpam-5549	170	33	the	the	DET
ejpam-5549	170	34	directed	direct	VERB
ejpam-5549	170	35	graph	graph	NOUN
ejpam-5549	170	36	is	be	AUX
ejpam-5549	170	37	interpreted	interpret	VERB
ejpam-5549	170	38	as	as	ADP
ejpam-5549	170	39	originating	originate	VERB
ejpam-5549	170	40	from	from	ADP
ejpam-5549	170	41	vertex	vertex	PROPN
ejpam-5549	170	42	j	j	PROPN
ejpam-5549	170	43	to	to	PART
ejpam-5549	170	44	vertex	vertex	PROPN
ejpam-5549	170	45	i.	i.	PROPN
ejpam-5549	170	46	step	step	NOUN
ejpam-5549	170	47	2	2	NUM
ejpam-5549	170	48	:	:	PUNCT
ejpam-5549	170	49	each	each	DET
ejpam-5549	170	50	directed	direct	VERB
ejpam-5549	170	51	edge	edge	NOUN
ejpam-5549	170	52	(	(	PUNCT
ejpam-5549	170	53	i	i	PROPN
ejpam-5549	170	54	,	,	PUNCT
ejpam-5549	170	55	j	j	PROPN
ejpam-5549	170	56	)	)	PUNCT
ejpam-5549	170	57	is	be	AUX
ejpam-5549	170	58	converted	convert	VERB
ejpam-5549	170	59	into	into	ADP
ejpam-5549	170	60	a	a	DET
ejpam-5549	170	61	vertex	vertex	NOUN
ejpam-5549	170	62	referred	refer	VERB
ejpam-5549	170	63	to	to	ADP
ejpam-5549	170	64	as	as	ADP
ejpam-5549	170	65	(	(	PUNCT
ejpam-5549	170	66	i	i	PROPN
ejpam-5549	170	67	,	,	PUNCT
ejpam-5549	170	68	j	j	PROPN
ejpam-5549	170	69	)	)	PUNCT
ejpam-5549	170	70	,	,	PUNCT
ejpam-5549	170	71	termed	term	VERB
ejpam-5549	170	72	a	a	DET
ejpam-5549	170	73	generated	generate	VERB
ejpam-5549	170	74	node	node	NOUN
ejpam-5549	170	75	.	.	PUNCT
ejpam-5549	171	1	step	step	NOUN
ejpam-5549	171	2	3	3	NUM
ejpam-5549	171	3	:	:	PUNCT
ejpam-5549	171	4	if	if	SCONJ
ejpam-5549	171	5	the	the	DET
ejpam-5549	171	6	directed	direct	VERB
ejpam-5549	171	7	edge	edge	NOUN
ejpam-5549	171	8	(	(	PUNCT
ejpam-5549	171	9	i1	i1	PROPN
ejpam-5549	171	10	,	,	PUNCT
ejpam-5549	171	11	ji	ji	PROPN
ejpam-5549	171	12	)	)	PUNCT
ejpam-5549	171	13	is	be	AUX
ejpam-5549	171	14	a	a	DET
ejpam-5549	171	15	valid	valid	ADJ
ejpam-5549	171	16	neighbor	neighbor	NOUN
ejpam-5549	171	17	of	of	ADP
ejpam-5549	171	18	the	the	DET
ejpam-5549	171	19	directed	direct	VERB
ejpam-5549	171	20	edge	edge	NOUN
ejpam-5549	171	21	(	(	PUNCT
ejpam-5549	171	22	i2	i2	PROPN
ejpam-5549	171	23	,	,	PUNCT
ejpam-5549	171	24	j2	j2	PROPN
ejpam-5549	171	25	)	)	PUNCT
ejpam-5549	171	26	in	in	ADP
ejpam-5549	171	27	the	the	DET
ejpam-5549	171	28	original	original	ADJ
ejpam-5549	171	29	node	node	NOUN
ejpam-5549	171	30	graph	graph	NOUN
ejpam-5549	171	31	,	,	PUNCT
ejpam-5549	171	32	a	a	DET
ejpam-5549	171	33	new	new	ADJ
ejpam-5549	171	34	directed	direct	VERB
ejpam-5549	171	35	edge	edge	NOUN
ejpam-5549	171	36	is	be	AUX
ejpam-5549	171	37	established	establish	VERB
ejpam-5549	171	38	between	between	ADP
ejpam-5549	171	39	the	the	DET
ejpam-5549	171	40	generated	generate	VERB
ejpam-5549	171	41	nodes	node	NOUN
ejpam-5549	171	42	(	(	PUNCT
ejpam-5549	171	43	i1	i1	PROPN
ejpam-5549	171	44	,	,	PUNCT
ejpam-5549	171	45	ji	ji	PROPN
ejpam-5549	171	46	)	)	PUNCT
ejpam-5549	171	47	and	and	CCONJ
ejpam-5549	171	48	(	(	PUNCT
ejpam-5549	171	49	i2	i2	PROPN
ejpam-5549	171	50	,	,	PUNCT
ejpam-5549	171	51	j2	j2	PROPN
ejpam-5549	171	52	)	)	PUNCT
ejpam-5549	171	53	,	,	PUNCT
ejpam-5549	171	54	with	with	ADP
ejpam-5549	171	55	(	(	PUNCT
ejpam-5549	171	56	i1	i1	PROPN
ejpam-5549	171	57	,	,	PUNCT
ejpam-5549	171	58	ji	ji	PROPN
ejpam-5549	171	59	)	)	PUNCT
ejpam-5549	171	60	serving	serve	VERB
ejpam-5549	171	61	as	as	ADP
ejpam-5549	171	62	the	the	DET
ejpam-5549	171	63	initial	initial	ADJ
ejpam-5549	171	64	node	node	NOUN
ejpam-5549	171	65	and	and	CCONJ
ejpam-5549	171	66	(	(	PUNCT
ejpam-5549	171	67	i2	i2	PROPN
ejpam-5549	171	68	,	,	PUNCT
ejpam-5549	171	69	j2	j2	PROPN
ejpam-5549	171	70	)	)	PUNCT
ejpam-5549	171	71	as	as	ADP
ejpam-5549	171	72	the	the	DET
ejpam-5549	171	73	terminal	terminal	ADJ
ejpam-5549	171	74	node	node	NOUN
ejpam-5549	171	75	(	(	PUNCT
ejpam-5549	171	76	refer	refer	VERB
ejpam-5549	171	77	to	to	ADP
ejpam-5549	171	78	examples	example	NOUN
ejpam-5549	171	79	in	in	ADP
ejpam-5549	171	80	figures	figure	NOUN
ejpam-5549	171	81	1	1	NUM
ejpam-5549	171	82	-	-	SYM
ejpam-5549	171	83	3	3	NUM
ejpam-5549	171	84	)	)	PUNCT
ejpam-5549	171	85	.	.	PUNCT
ejpam-5549	172	1	figure	figure	VERB
ejpam-5549	172	2	1	1	NUM
ejpam-5549	172	3	:	:	PUNCT
ejpam-5549	172	4	a	a	DET
ejpam-5549	172	5	communication	communication	NOUN
ejpam-5549	172	6	network	network	NOUN
ejpam-5549	172	7	g	g	PROPN
ejpam-5549	172	8	c.	c.	PROPN
ejpam-5549	172	9	park	park	PROPN
ejpam-5549	172	10	,	,	PUNCT
ejpam-5549	172	11	s.	s.	PROPN
ejpam-5549	172	12	donganont	donganont	PROPN
ejpam-5549	172	13	and	and	CCONJ
ejpam-5549	172	14	m.	m.	PROPN
ejpam-5549	172	15	donganont	donganont	PROPN
ejpam-5549	172	16	/	/	SYM
ejpam-5549	172	17	eur	eur	PROPN
ejpam-5549	172	18	.	.	PUNCT
ejpam-5549	173	1	j.	j.	PROPN
ejpam-5549	173	2	pure	pure	PROPN
ejpam-5549	173	3	appl	appl	PROPN
ejpam-5549	173	4	.	.	PROPN
ejpam-5549	173	5	math	math	PROPN
ejpam-5549	173	6	,	,	PUNCT
ejpam-5549	173	7	18	18	NUM
ejpam-5549	173	8	(	(	PUNCT
ejpam-5549	173	9	1	1	NUM
ejpam-5549	173	10	)	)	PUNCT
ejpam-5549	173	11	(	(	PUNCT
ejpam-5549	173	12	2025	2025	NUM
ejpam-5549	173	13	)	)	PUNCT
ejpam-5549	173	14	,	,	PUNCT
ejpam-5549	173	15	5549	5549	NUM
ejpam-5549	173	16	9	9	NUM
ejpam-5549	173	17	of	of	ADP
ejpam-5549	173	18	16	16	NUM
ejpam-5549	173	19	figure	figure	NOUN
ejpam-5549	173	20	2	2	NUM
ejpam-5549	173	21	:	:	PUNCT
ejpam-5549	173	22	the	the	DET
ejpam-5549	173	23	evolution	evolution	NOUN
ejpam-5549	173	24	of	of	ADP
ejpam-5549	173	25	the	the	DET
ejpam-5549	173	26	directed	direct	VERB
ejpam-5549	173	27	graph	graph	NOUN
ejpam-5549	173	28	to	to	ADP
ejpam-5549	173	29	its	its	PRON
ejpam-5549	173	30	line	line	NOUN
ejpam-5549	173	31	graph	graph	NOUN
ejpam-5549	173	32	(	(	PUNCT
ejpam-5549	173	33	step	step	NOUN
ejpam-5549	173	34	2	2	NUM
ejpam-5549	173	35	)	)	PUNCT
ejpam-5549	173	36	assume	assume	VERB
ejpam-5549	173	37	that	that	SCONJ
ejpam-5549	173	38	all	all	DET
ejpam-5549	173	39	agents	agent	NOUN
ejpam-5549	173	40	can	can	AUX
ejpam-5549	173	41	communicate	communicate	VERB
ejpam-5549	173	42	and	and	CCONJ
ejpam-5549	173	43	update	update	VERB
ejpam-5549	173	44	their	their	PRON
ejpam-5549	173	45	neighbors	neighbor	NOUN
ejpam-5549	173	46	at	at	ADP
ejpam-5549	173	47	the	the	DET
ejpam-5549	173	48	sampling	sampling	NOUN
ejpam-5549	173	49	time	time	NOUN
ejpam-5549	173	50	tk	tk	PROPN
ejpam-5549	173	51	,	,	PUNCT
ejpam-5549	173	52	then	then	ADV
ejpam-5549	173	53	the	the	DET
ejpam-5549	173	54	edge	edge	NOUN
ejpam-5549	173	55	consensus	consensus	NOUN
ejpam-5549	173	56	protocol	protocol	NOUN
ejpam-5549	173	57	for	for	ADP
ejpam-5549	173	58	directed	direct	VERB
ejpam-5549	173	59	topology	topology	NOUN
ejpam-5549	173	60	can	can	AUX
ejpam-5549	173	61	be	be	AUX
ejpam-5549	173	62	designed	design	VERB
ejpam-5549	173	63	as	as	PUNCT
ejpam-5549	173	64	uij(t	uij(t	PROPN
ejpam-5549	173	65	)	)	PUNCT
ejpam-5549	173	66	=	=	SYM
ejpam-5549	174	1	|βij	|βij	NOUN
ejpam-5549	175	1	|	|	ADV
ejpam-5549	175	2	[	[	X
ejpam-5549	175	3	∑	∑	ADV
ejpam-5549	175	4	s∈nj	s∈nj	PROPN
ejpam-5549	175	5	ajs[βisxis(tk)−	ajs[βisxis(tk)−	PROPN
ejpam-5549	175	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	175	7	)	)	PUNCT
ejpam-5549	175	8	]	]	PUNCT
ejpam-5549	175	9	]	]	PUNCT
ejpam-5549	175	10	,	,	PUNCT
ejpam-5549	175	11	∀(i	∀(i	PROPN
ejpam-5549	175	12	,	,	PUNCT
ejpam-5549	175	13	j	j	NOUN
ejpam-5549	175	14	)	)	PUNCT
ejpam-5549	175	15	∈	∈	PROPN
ejpam-5549	175	16	ec	ec	PROPN
ejpam-5549	175	17	,	,	PUNCT
ejpam-5549	175	18	uij(tk+1	uij(tk+1	ADJ
ejpam-5549	175	19	)	)	PUNCT
ejpam-5549	176	1	=	=	SYM
ejpam-5549	176	2	h	h	NOUN
ejpam-5549	176	3	·	·	PUNCT
ejpam-5549	176	4	|βij	|βij	ADJ
ejpam-5549	177	1	|	|	ADV
ejpam-5549	177	2	[	[	X
ejpam-5549	177	3	∑	∑	ADV
ejpam-5549	177	4	s∈nj	s∈nj	PROPN
ejpam-5549	177	5	ajs[βisxis(tk)−	ajs[βisxis(tk)−	PROPN
ejpam-5549	177	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	177	7	)	)	PUNCT
ejpam-5549	177	8	]	]	PUNCT
ejpam-5549	177	9	]	]	PUNCT
ejpam-5549	177	10	,	,	PUNCT
ejpam-5549	177	11	∀(i	∀(i	PROPN
ejpam-5549	177	12	,	,	PUNCT
ejpam-5549	177	13	j	j	NOUN
ejpam-5549	177	14	)	)	PUNCT
ejpam-5549	177	15	∈	∈	PROPN
ejpam-5549	177	16	ed	ed	NOUN
ejpam-5549	177	17	,	,	PUNCT
ejpam-5549	177	18	(	(	PUNCT
ejpam-5549	177	19	3.8	3.8	NUM
ejpam-5549	177	20	)	)	PUNCT
ejpam-5549	177	21	where	where	SCONJ
ejpam-5549	177	22	all	all	DET
ejpam-5549	177	23	variables	variable	NOUN
ejpam-5549	177	24	are	be	AUX
ejpam-5549	177	25	defined	define	VERB
ejpam-5549	177	26	as	as	ADP
ejpam-5549	177	27	in	in	ADP
ejpam-5549	177	28	the	the	DET
ejpam-5549	177	29	previous	previous	ADJ
ejpam-5549	177	30	section	section	NOUN
ejpam-5549	177	31	.	.	PUNCT
ejpam-5549	178	1	remark	remark	PROPN
ejpam-5549	178	2	3	3	NUM
ejpam-5549	178	3	.	.	PUNCT
ejpam-5549	179	1	if	if	SCONJ
ejpam-5549	179	2	βij	βij	NOUN
ejpam-5549	179	3	=	=	NOUN
ejpam-5549	179	4	1	1	NUM
ejpam-5549	179	5	for	for	ADP
ejpam-5549	179	6	all	all	DET
ejpam-5549	179	7	edge	edge	NOUN
ejpam-5549	179	8	(	(	PUNCT
ejpam-5549	179	9	i	i	PROPN
ejpam-5549	179	10	,	,	PUNCT
ejpam-5549	179	11	j	j	PROPN
ejpam-5549	179	12	)	)	PUNCT
ejpam-5549	179	13	and	and	CCONJ
ejpam-5549	179	14	ec	ec	PROPN
ejpam-5549	179	15	=	=	PUNCT
ejpam-5549	179	16	∅	∅	NOUN
ejpam-5549	179	17	,	,	PUNCT
ejpam-5549	179	18	the	the	DET
ejpam-5549	179	19	protocol	protocol	NOUN
ejpam-5549	179	20	(	(	PUNCT
ejpam-5549	179	21	3.8	3.8	NUM
ejpam-5549	179	22	)	)	PUNCT
ejpam-5549	179	23	can	can	AUX
ejpam-5549	179	24	be	be	AUX
ejpam-5549	179	25	written	write	VERB
ejpam-5549	179	26	as	as	ADP
ejpam-5549	179	27	uij(tk+1	uij(tk+1	ADJ
ejpam-5549	179	28	)	)	PUNCT
ejpam-5549	180	1	=	=	SYM
ejpam-5549	180	2	h	h	NOUN
ejpam-5549	180	3	·	·	PUNCT
ejpam-5549	180	4	[	[	PUNCT
ejpam-5549	180	5	∑	∑	PUNCT
ejpam-5549	180	6	s∈nj	s∈nj	PROPN
ejpam-5549	180	7	ajs[xis(tk)−	ajs[xis(tk)−	PROPN
ejpam-5549	180	8	xij(tk	xij(tk	NOUN
ejpam-5549	180	9	)	)	PUNCT
ejpam-5549	180	10	]	]	PUNCT
ejpam-5549	180	11	]	]	PUNCT
ejpam-5549	180	12	,	,	PUNCT
ejpam-5549	180	13	∀(i	∀(i	PROPN
ejpam-5549	180	14	,	,	PUNCT
ejpam-5549	180	15	j	j	NOUN
ejpam-5549	180	16	)	)	PUNCT
ejpam-5549	180	17	∈	∈	PROPN
ejpam-5549	180	18	ed	ed	NOUN
ejpam-5549	180	19	,	,	PUNCT
ejpam-5549	180	20	(	(	PUNCT
ejpam-5549	180	21	3.9	3.9	NUM
ejpam-5549	180	22	)	)	PUNCT
ejpam-5549	180	23	and	and	CCONJ
ejpam-5549	180	24	if	if	SCONJ
ejpam-5549	180	25	ed	ed	NOUN
ejpam-5549	180	26	=	=	NOUN
ejpam-5549	180	27	∅	∅	NOUN
ejpam-5549	180	28	together	together	ADV
ejpam-5549	180	29	with	with	ADP
ejpam-5549	180	30	βij	βij	NOUN
ejpam-5549	181	1	=	=	SYM
ejpam-5549	181	2	1	1	NUM
ejpam-5549	181	3	for	for	ADP
ejpam-5549	181	4	all	all	DET
ejpam-5549	181	5	edge	edge	NOUN
ejpam-5549	181	6	(	(	PUNCT
ejpam-5549	181	7	i	i	PROPN
ejpam-5549	181	8	,	,	PUNCT
ejpam-5549	181	9	j	j	PROPN
ejpam-5549	181	10	)	)	PUNCT
ejpam-5549	181	11	,	,	PUNCT
ejpam-5549	181	12	one	one	PRON
ejpam-5549	181	13	obtains	obtain	VERB
ejpam-5549	181	14	uij(t	uij(t	PROPN
ejpam-5549	181	15	)	)	PUNCT
ejpam-5549	181	16	=	=	PUNCT
ejpam-5549	182	1	[	[	PUNCT
ejpam-5549	182	2	∑	∑	PUNCT
ejpam-5549	182	3	s∈nj	s∈nj	PROPN
ejpam-5549	182	4	ajs[xis(tk)−	ajs[xis(tk)−	PROPN
ejpam-5549	182	5	xij(tk	xij(tk	NOUN
ejpam-5549	182	6	)	)	PUNCT
ejpam-5549	182	7	]	]	PUNCT
ejpam-5549	182	8	]	]	PUNCT
ejpam-5549	182	9	,	,	PUNCT
ejpam-5549	182	10	∀(i	∀(i	PROPN
ejpam-5549	182	11	,	,	PUNCT
ejpam-5549	182	12	j	j	NOUN
ejpam-5549	182	13	)	)	PUNCT
ejpam-5549	182	14	∈	∈	PROPN
ejpam-5549	182	15	ec	ec	PROPN
ejpam-5549	182	16	,	,	PUNCT
ejpam-5549	182	17	(	(	PUNCT
ejpam-5549	182	18	3.10	3.10	NUM
ejpam-5549	182	19	)	)	PUNCT
ejpam-5549	182	20	c.	c.	NOUN
ejpam-5549	182	21	park	park	PROPN
ejpam-5549	182	22	,	,	PUNCT
ejpam-5549	182	23	s.	s.	PROPN
ejpam-5549	182	24	donganont	donganont	PROPN
ejpam-5549	182	25	and	and	CCONJ
ejpam-5549	182	26	m.	m.	PROPN
ejpam-5549	182	27	donganont	donganont	PROPN
ejpam-5549	182	28	/	/	SYM
ejpam-5549	182	29	eur	eur	PROPN
ejpam-5549	182	30	.	.	PUNCT
ejpam-5549	183	1	j.	j.	PROPN
ejpam-5549	183	2	pure	pure	PROPN
ejpam-5549	183	3	appl	appl	PROPN
ejpam-5549	183	4	.	.	PROPN
ejpam-5549	183	5	math	math	PROPN
ejpam-5549	183	6	,	,	PUNCT
ejpam-5549	183	7	18	18	NUM
ejpam-5549	183	8	(	(	PUNCT
ejpam-5549	183	9	1	1	NUM
ejpam-5549	183	10	)	)	PUNCT
ejpam-5549	183	11	(	(	PUNCT
ejpam-5549	183	12	2025	2025	NUM
ejpam-5549	183	13	)	)	PUNCT
ejpam-5549	183	14	,	,	PUNCT
ejpam-5549	183	15	5549	5549	NUM
ejpam-5549	183	16	10	10	NUM
ejpam-5549	183	17	of	of	ADP
ejpam-5549	183	18	16	16	NUM
ejpam-5549	183	19	figure	figure	NOUN
ejpam-5549	183	20	3	3	NUM
ejpam-5549	183	21	:	:	PUNCT
ejpam-5549	183	22	the	the	DET
ejpam-5549	183	23	evolution	evolution	NOUN
ejpam-5549	183	24	of	of	ADP
ejpam-5549	183	25	the	the	DET
ejpam-5549	183	26	directed	direct	VERB
ejpam-5549	183	27	graph	graph	NOUN
ejpam-5549	183	28	to	to	ADP
ejpam-5549	183	29	its	its	PRON
ejpam-5549	183	30	line	line	NOUN
ejpam-5549	183	31	graph	graph	NOUN
ejpam-5549	183	32	(	(	PUNCT
ejpam-5549	183	33	step	step	NOUN
ejpam-5549	183	34	3	3	NUM
ejpam-5549	183	35	)	)	PUNCT
ejpam-5549	183	36	which	which	PRON
ejpam-5549	183	37	were	be	AUX
ejpam-5549	183	38	studied	study	VERB
ejpam-5549	183	39	in	in	ADP
ejpam-5549	183	40	[	[	X
ejpam-5549	183	41	19	19	NUM
ejpam-5549	183	42	]	]	PUNCT
ejpam-5549	183	43	.	.	PUNCT
ejpam-5549	184	1	this	this	PRON
ejpam-5549	184	2	shows	show	VERB
ejpam-5549	184	3	the	the	DET
ejpam-5549	184	4	generalization	generalization	NOUN
ejpam-5549	184	5	of	of	ADP
ejpam-5549	184	6	our	our	PRON
ejpam-5549	184	7	protocols	protocol	NOUN
ejpam-5549	184	8	.	.	PUNCT
ejpam-5549	185	1	theorem	theorem	NOUN
ejpam-5549	185	2	2	2	NUM
ejpam-5549	185	3	.	.	X
ejpam-5549	185	4	consider	consider	VERB
ejpam-5549	185	5	a	a	DET
ejpam-5549	185	6	directed	direct	VERB
ejpam-5549	185	7	communication	communication	NOUN
ejpam-5549	185	8	network	network	NOUN
ejpam-5549	185	9	g	g	PROPN
ejpam-5549	185	10	,	,	PUNCT
ejpam-5549	185	11	where	where	SCONJ
ejpam-5549	185	12	the	the	DET
ejpam-5549	185	13	edge	edge	NOUN
ejpam-5549	185	14	dynamics	dynamic	NOUN
ejpam-5549	185	15	described	describe	VERB
ejpam-5549	185	16	as	as	ADP
ejpam-5549	185	17	in	in	ADP
ejpam-5549	185	18	(	(	PUNCT
ejpam-5549	185	19	2.1	2.1	NUM
ejpam-5549	185	20	)	)	PUNCT
ejpam-5549	185	21	.	.	PUNCT
ejpam-5549	186	1	then	then	ADV
ejpam-5549	186	2	,	,	PUNCT
ejpam-5549	186	3	the	the	DET
ejpam-5549	186	4	consensus	consensus	NOUN
ejpam-5549	186	5	protocol	protocol	NOUN
ejpam-5549	186	6	(	(	PUNCT
ejpam-5549	186	7	3.8	3.8	NUM
ejpam-5549	186	8	)	)	PUNCT
ejpam-5549	186	9	solves	solve	NOUN
ejpam-5549	186	10	scaled	scale	VERB
ejpam-5549	186	11	consensus	consensus	NOUN
ejpam-5549	186	12	of	of	ADP
ejpam-5549	186	13	edge	edge	NOUN
ejpam-5549	186	14	dynamics	dynamic	NOUN
ejpam-5549	186	15	if	if	SCONJ
ejpam-5549	186	16	and	and	CCONJ
ejpam-5549	186	17	only	only	ADV
ejpam-5549	186	18	if	if	SCONJ
ejpam-5549	186	19	,	,	PUNCT
ejpam-5549	186	20	for	for	ADP
ejpam-5549	186	21	any	any	DET
ejpam-5549	186	22	initial	initial	ADJ
ejpam-5549	186	23	state	state	NOUN
ejpam-5549	186	24	,	,	PUNCT
ejpam-5549	186	25	the	the	DET
ejpam-5549	186	26	following	follow	VERB
ejpam-5549	186	27	conditions	condition	NOUN
ejpam-5549	186	28	are	be	AUX
ejpam-5549	186	29	satisfied	satisfied	ADJ
ejpam-5549	186	30	:	:	PUNCT
ejpam-5549	186	31	(	(	PUNCT
ejpam-5549	186	32	a1	a1	NOUN
ejpam-5549	186	33	)	)	PUNCT
ejpam-5549	186	34	the	the	DET
ejpam-5549	186	35	step	step	NOUN
ejpam-5549	186	36	size	size	NOUN
ejpam-5549	186	37	h	h	NOUN
ejpam-5549	186	38	is	be	AUX
ejpam-5549	186	39	satisfies	satisfie	NOUN
ejpam-5549	186	40	0	0	PUNCT
ejpam-5549	186	41	<	<	X
ejpam-5549	186	42	h	h	X
ejpam-5549	186	43	<	<	X
ejpam-5549	186	44	1	1	NUM
ejpam-5549	186	45	maxi	maxi	NOUN
ejpam-5549	186	46	,	,	PUNCT
ejpam-5549	186	47	j	j	PROPN
ejpam-5549	186	48	{	{	PUNCT
ejpam-5549	186	49	∑	∑	PROPN
ejpam-5549	186	50	j∈nj	j∈nj	PROPN
ejpam-5549	186	51	,	,	PUNCT
ejpam-5549	186	52	s	s	PART
ejpam-5549	186	53	̸=i	̸=i	PROPN
ejpam-5549	186	54	ajs}βmax	ajs}βmax	PROPN
ejpam-5549	186	55	,	,	PUNCT
ejpam-5549	186	56	(	(	PUNCT
ejpam-5549	186	57	3.11	3.11	NUM
ejpam-5549	186	58	)	)	PUNCT
ejpam-5549	186	59	(	(	PUNCT
ejpam-5549	186	60	a2	a2	PROPN
ejpam-5549	186	61	)	)	PUNCT
ejpam-5549	186	62	the	the	DET
ejpam-5549	186	63	communication	communication	NOUN
ejpam-5549	186	64	network	network	NOUN
ejpam-5549	186	65	g	g	PROPN
ejpam-5549	186	66	contains	contain	VERB
ejpam-5549	186	67	a	a	DET
ejpam-5549	186	68	spanning	span	VERB
ejpam-5549	186	69	tree	tree	NOUN
ejpam-5549	186	70	.	.	PUNCT
ejpam-5549	187	1	proof	proof	NOUN
ejpam-5549	187	2	.	.	PUNCT
ejpam-5549	188	1	from	from	ADP
ejpam-5549	188	2	the	the	DET
ejpam-5549	188	3	system	system	NOUN
ejpam-5549	188	4	(	(	PUNCT
ejpam-5549	188	5	2.1	2.1	NUM
ejpam-5549	188	6	)	)	PUNCT
ejpam-5549	188	7	and	and	CCONJ
ejpam-5549	188	8	protocol	protocol	NOUN
ejpam-5549	188	9	(	(	PUNCT
ejpam-5549	188	10	3.8	3.8	NUM
ejpam-5549	188	11	)	)	PUNCT
ejpam-5549	188	12	,	,	PUNCT
ejpam-5549	188	13	we	we	PRON
ejpam-5549	188	14	have	have	VERB
ejpam-5549	188	15	,	,	PUNCT
ejpam-5549	188	16	for	for	ADP
ejpam-5549	188	17	t	t	PROPN
ejpam-5549	188	18	∈	∈	PROPN
ejpam-5549	188	19	(	(	PUNCT
ejpam-5549	188	20	tk	tk	PROPN
ejpam-5549	188	21	,	,	PUNCT
ejpam-5549	188	22	tk+1],	tk+1],	PROPN
ejpam-5549	188	23	βijxij(t	βijxij(t	NOUN
ejpam-5549	188	24	)	)	PUNCT
ejpam-5549	188	25	=	=	SYM
ejpam-5549	188	26	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	188	27	)	)	PUNCT
ejpam-5549	189	1	+	+	CCONJ
ejpam-5549	189	2	(	(	PUNCT
ejpam-5549	189	3	t−	t−	PROPN
ejpam-5549	189	4	tk)|βij	tk)|βij	PROPN
ejpam-5549	190	1	|	|	NOUN
ejpam-5549	190	2	[	[	X
ejpam-5549	190	3	∑	∑	ADV
ejpam-5549	190	4	s∈nj	s∈nj	PROPN
ejpam-5549	190	5	ajs[βisxis(tk)−	ajs[βisxis(tk)−	PROPN
ejpam-5549	190	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	190	7	)	)	PUNCT
ejpam-5549	190	8	]	]	PUNCT
ejpam-5549	191	1	]	]	PUNCT
ejpam-5549	191	2	,	,	PUNCT
ejpam-5549	191	3	for	for	ADP
ejpam-5549	191	4	(	(	PUNCT
ejpam-5549	191	5	i	i	PROPN
ejpam-5549	191	6	,	,	PUNCT
ejpam-5549	191	7	j	j	PROPN
ejpam-5549	191	8	)	)	PUNCT
ejpam-5549	191	9	∈	∈	PROPN
ejpam-5549	191	10	ec	ec	PROPN
ejpam-5549	191	11	,	,	PUNCT
ejpam-5549	191	12	βijxij(tk+1	βijxij(tk+1	NOUN
ejpam-5549	191	13	)	)	PUNCT
ejpam-5549	191	14	=	=	SYM
ejpam-5549	191	15	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	191	16	)	)	PUNCT
ejpam-5549	191	17	+	+	NUM
ejpam-5549	191	18	h	h	NOUN
ejpam-5549	191	19	·	·	PUNCT
ejpam-5549	191	20	|βij	|βij	ADJ
ejpam-5549	192	1	|	|	ADV
ejpam-5549	192	2	[	[	X
ejpam-5549	192	3	∑	∑	ADV
ejpam-5549	192	4	s∈nj	s∈nj	PROPN
ejpam-5549	192	5	ajs[βisxis(tk)−	ajs[βisxis(tk)−	PROPN
ejpam-5549	192	6	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	192	7	)	)	PUNCT
ejpam-5549	192	8	]	]	PUNCT
ejpam-5549	192	9	]	]	PUNCT
ejpam-5549	192	10	,	,	PUNCT
ejpam-5549	192	11	for	for	ADP
ejpam-5549	192	12	(	(	PUNCT
ejpam-5549	192	13	i	i	PROPN
ejpam-5549	192	14	,	,	PUNCT
ejpam-5549	192	15	j	j	PROPN
ejpam-5549	192	16	)	)	PUNCT
ejpam-5549	192	17	∈	∈	PROPN
ejpam-5549	192	18	ed	ed	NOUN
ejpam-5549	192	19	.	.	PUNCT
ejpam-5549	193	1	(	(	PUNCT
ejpam-5549	193	2	3.12	3.12	NUM
ejpam-5549	193	3	)	)	PUNCT
ejpam-5549	193	4	c.	c.	NOUN
ejpam-5549	193	5	park	park	PROPN
ejpam-5549	193	6	,	,	PUNCT
ejpam-5549	193	7	s.	s.	PROPN
ejpam-5549	193	8	donganont	donganont	PROPN
ejpam-5549	193	9	and	and	CCONJ
ejpam-5549	193	10	m.	m.	PROPN
ejpam-5549	193	11	donganont	donganont	PROPN
ejpam-5549	193	12	/	/	SYM
ejpam-5549	193	13	eur	eur	PROPN
ejpam-5549	193	14	.	.	PUNCT
ejpam-5549	194	1	j.	j.	PROPN
ejpam-5549	194	2	pure	pure	PROPN
ejpam-5549	194	3	appl	appl	PROPN
ejpam-5549	194	4	.	.	PROPN
ejpam-5549	194	5	math	math	PROPN
ejpam-5549	194	6	,	,	PUNCT
ejpam-5549	194	7	18	18	NUM
ejpam-5549	194	8	(	(	PUNCT
ejpam-5549	194	9	1	1	NUM
ejpam-5549	194	10	)	)	PUNCT
ejpam-5549	194	11	(	(	PUNCT
ejpam-5549	194	12	2025	2025	NUM
ejpam-5549	194	13	)	)	PUNCT
ejpam-5549	194	14	,	,	PUNCT
ejpam-5549	194	15	5549	5549	NUM
ejpam-5549	194	16	11	11	NUM
ejpam-5549	194	17	of	of	ADP
ejpam-5549	194	18	16	16	NUM
ejpam-5549	194	19	therefore	therefore	ADV
ejpam-5549	195	1	,	,	PUNCT
ejpam-5549	195	2	it	it	PRON
ejpam-5549	195	3	follows	follow	VERB
ejpam-5549	195	4	that	that	PRON
ejpam-5549	195	5	βijxij(tk+1	βijxij(tk+1	NOUN
ejpam-5549	195	6	)	)	PUNCT
ejpam-5549	195	7	=	=	SYM
ejpam-5549	195	8	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	195	9	)	)	PUNCT
ejpam-5549	196	1	+	+	NUM
ejpam-5549	196	2	h	h	NOUN
ejpam-5549	196	3	·	·	PUNCT
ejpam-5549	196	4	|βij	|βij	NOUN
ejpam-5549	196	5	|	|	ADV
ejpam-5549	196	6	·	·	PUNCT
ejpam-5549	196	7	[	[	PUNCT
ejpam-5549	196	8	∑	∑	PUNCT
ejpam-5549	196	9	s∈ni	s∈ni	NOUN
ejpam-5549	196	10	ais[βisxis(tk)−	ais[βisxis(tk)−	NOUN
ejpam-5549	196	11	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	196	12	)	)	PUNCT
ejpam-5549	196	13	]	]	PUNCT
ejpam-5549	197	1	+	+	CCONJ
ejpam-5549	197	2	∑	∑	PUNCT
ejpam-5549	197	3	s∈nj	s∈nj	PROPN
ejpam-5549	197	4	ajs[βjsxjs(tk)−	ajs[βjsxjs(tk)−	PROPN
ejpam-5549	197	5	βijxij(tk	βijxij(tk	NOUN
ejpam-5549	197	6	)	)	PUNCT
ejpam-5549	197	7	]	]	PUNCT
ejpam-5549	197	8	]	]	PUNCT
ejpam-5549	197	9	,	,	PUNCT
ejpam-5549	197	10	for	for	ADP
ejpam-5549	197	11	(	(	PUNCT
ejpam-5549	197	12	i	i	PROPN
ejpam-5549	197	13	,	,	PUNCT
ejpam-5549	197	14	j	j	PROPN
ejpam-5549	197	15	)	)	PUNCT
ejpam-5549	197	16	∈	∈	PROPN
ejpam-5549	197	17	e	e	X
ejpam-5549	197	18	.	.	PUNCT
ejpam-5549	198	1	(	(	PUNCT
ejpam-5549	198	2	3.13	3.13	NUM
ejpam-5549	198	3	)	)	PUNCT
ejpam-5549	198	4	let	let	VERB
ejpam-5549	198	5	y	y	PROPN
ejpam-5549	198	6	=	=	SYM
ejpam-5549	198	7	(	(	PUNCT
ejpam-5549	198	8	βijxij	βijxij	NOUN
ejpam-5549	198	9	)	)	PUNCT
ejpam-5549	198	10	∈	∈	PROPN
ejpam-5549	199	1	r	r	NOUN
ejpam-5549	199	2	(	(	PUNCT
ejpam-5549	199	3	∑n	∑n	PROPN
ejpam-5549	199	4	i=1	i=1	PROPN
ejpam-5549	199	5	d(in)i)×1	d(in)i)×1	NOUN
ejpam-5549	199	6	,	,	PUNCT
ejpam-5549	199	7	i	i	PRON
ejpam-5549	199	8	=	=	NOUN
ejpam-5549	199	9	1	1	NUM
ejpam-5549	199	10	,	,	PUNCT
ejpam-5549	199	11	2	2	NUM
ejpam-5549	199	12	,	,	PUNCT
ejpam-5549	199	13	.	.	PUNCT
ejpam-5549	199	14	.	.	PUNCT
ejpam-5549	199	15	.	.	PUNCT
ejpam-5549	199	16	,	,	PUNCT
ejpam-5549	199	17	n	n	CCONJ
ejpam-5549	199	18	,	,	PUNCT
ejpam-5549	199	19	j	j	PROPN
ejpam-5549	199	20	∈	∈	PROPN
ejpam-5549	199	21	ni	ni	PROPN
ejpam-5549	199	22	,	,	PUNCT
ejpam-5549	199	23	βij	βij	NOUN
ejpam-5549	199	24	̸=	̸=	PROPN
ejpam-5549	199	25	0	0	NUM
ejpam-5549	199	26	.	.	PUNCT
ejpam-5549	200	1	then	then	ADV
ejpam-5549	200	2	,	,	PUNCT
ejpam-5549	200	3	the	the	DET
ejpam-5549	200	4	system	system	NOUN
ejpam-5549	200	5	(	(	PUNCT
ejpam-5549	200	6	2.1	2.1	NUM
ejpam-5549	200	7	)	)	PUNCT
ejpam-5549	200	8	with	with	ADP
ejpam-5549	200	9	protocol	protocol	NOUN
ejpam-5549	200	10	(	(	PUNCT
ejpam-5549	200	11	3.8	3.8	NUM
ejpam-5549	200	12	)	)	PUNCT
ejpam-5549	200	13	can	can	AUX
ejpam-5549	200	14	be	be	AUX
ejpam-5549	200	15	written	write	VERB
ejpam-5549	200	16	as	as	ADP
ejpam-5549	200	17	:	:	PUNCT
ejpam-5549	200	18	y	y	PROPN
ejpam-5549	200	19	(	(	PUNCT
ejpam-5549	200	20	tk+1	tk+1	PROPN
ejpam-5549	200	21	)	)	PUNCT
ejpam-5549	200	22	=	=	NOUN
ejpam-5549	201	1	[	[	X
ejpam-5549	201	2	i	i	X
ejpam-5549	201	3	+	+	VERB
ejpam-5549	201	4	h|b|q]y	h|b|q]y	PROPN
ejpam-5549	201	5	(	(	PUNCT
ejpam-5549	201	6	tk	tk	PROPN
ejpam-5549	201	7	)	)	PUNCT
ejpam-5549	201	8	,	,	PUNCT
ejpam-5549	201	9	(	(	PUNCT
ejpam-5549	201	10	3.14	3.14	NUM
ejpam-5549	201	11	)	)	PUNCT
ejpam-5549	201	12	where	where	SCONJ
ejpam-5549	201	13	i	i	PRON
ejpam-5549	201	14	∈	∈	VERB
ejpam-5549	201	15	r	r	NOUN
ejpam-5549	201	16	(	(	PUNCT
ejpam-5549	201	17	∑n	∑n	PROPN
ejpam-5549	201	18	i=1	i=1	PROPN
ejpam-5549	201	19	d(in)i)×	d(in)i)×	PROPN
ejpam-5549	201	20	(	(	PUNCT
ejpam-5549	201	21	∑n	∑n	PROPN
ejpam-5549	201	22	i=1	i=1	PROPN
ejpam-5549	201	23	d(in)i	d(in)i	PROPN
ejpam-5549	201	24	)	)	PUNCT
ejpam-5549	201	25	,	,	PUNCT
ejpam-5549	201	26	h	h	NOUN
ejpam-5549	201	27	is	be	AUX
ejpam-5549	201	28	a	a	DET
ejpam-5549	201	29	step	step	NOUN
ejpam-5549	201	30	size	size	NOUN
ejpam-5549	201	31	,	,	PUNCT
ejpam-5549	201	32	b	b	NOUN
ejpam-5549	201	33	=	=	SYM
ejpam-5549	201	34	diag(βij	diag(βij	PROPN
ejpam-5549	201	35	)	)	PUNCT
ejpam-5549	201	36	and	and	CCONJ
ejpam-5549	201	37	q	q	NOUN
ejpam-5549	201	38	is	be	AUX
ejpam-5549	201	39	a	a	DET
ejpam-5549	201	40	zerorow	zerorow	ADJ
ejpam-5549	201	41	-	-	PUNCT
ejpam-5549	201	42	sum	sum	NOUN
ejpam-5549	201	43	symmetric	symmetric	ADJ
ejpam-5549	201	44	matrix	matrix	NOUN
ejpam-5549	201	45	with	with	ADP
ejpam-5549	201	46	nonnegative	nonnegative	ADJ
ejpam-5549	201	47	off	off	ADP
ejpam-5549	201	48	-	-	PUNCT
ejpam-5549	201	49	diagonal	diagonal	ADJ
ejpam-5549	201	50	elements	element	NOUN
ejpam-5549	201	51	and	and	CCONJ
ejpam-5549	201	52	diagonal	diagonal	ADJ
ejpam-5549	201	53	elements	element	NOUN
ejpam-5549	201	54	−	−	NOUN
ejpam-5549	201	55	∑	∑	PUNCT
ejpam-5549	201	56	s∈nj	s∈nj	PROPN
ejpam-5549	201	57	,	,	PUNCT
ejpam-5549	201	58	s	s	PART
ejpam-5549	201	59	̸=i	̸=i	PROPN
ejpam-5549	201	60	ajs	ajs	PROPN
ejpam-5549	201	61	}	}	PUNCT
ejpam-5549	201	62	.	.	PUNCT
ejpam-5549	202	1	it	it	PRON
ejpam-5549	202	2	follows	follow	VERB
ejpam-5549	202	3	from	from	ADP
ejpam-5549	202	4	(	(	PUNCT
ejpam-5549	202	5	a2	a2	PROPN
ejpam-5549	202	6	)	)	PUNCT
ejpam-5549	202	7	that	that	PRON
ejpam-5549	202	8	g	g	PROPN
ejpam-5549	202	9	contains	contain	VERB
ejpam-5549	202	10	a	a	DET
ejpam-5549	202	11	spanning	span	VERB
ejpam-5549	202	12	tree	tree	NOUN
ejpam-5549	202	13	and	and	CCONJ
ejpam-5549	202	14	the	the	DET
ejpam-5549	202	15	step	step	NOUN
ejpam-5549	202	16	size	size	NOUN
ejpam-5549	202	17	h	h	NOUN
ejpam-5549	202	18	is	be	AUX
ejpam-5549	202	19	satisfied	satisfied	ADJ
ejpam-5549	202	20	(	(	PUNCT
ejpam-5549	202	21	a1	a1	NOUN
ejpam-5549	202	22	)	)	PUNCT
ejpam-5549	202	23	.	.	PUNCT
ejpam-5549	203	1	then	then	ADV
ejpam-5549	203	2	,	,	PUNCT
ejpam-5549	203	3	by	by	ADP
ejpam-5549	203	4	lemma	lemma	PROPN
ejpam-5549	203	5	6	6	NUM
ejpam-5549	203	6	,	,	PUNCT
ejpam-5549	203	7	[	[	X
ejpam-5549	203	8	i	i	X
ejpam-5549	203	9	+	+	X
ejpam-5549	203	10	h|b|q	h|b|q	ADV
ejpam-5549	203	11	]	]	PUNCT
ejpam-5549	203	12	is	be	AUX
ejpam-5549	203	13	sia	sia	PROPN
ejpam-5549	203	14	.	.	PUNCT
ejpam-5549	204	1	hence	hence	ADV
ejpam-5549	204	2	,	,	PUNCT
ejpam-5549	204	3	there	there	PRON
ejpam-5549	204	4	exists	exist	VERB
ejpam-5549	204	5	a	a	DET
ejpam-5549	204	6	column	column	NOUN
ejpam-5549	204	7	vector	vector	NOUN
ejpam-5549	204	8	u	u	NOUN
ejpam-5549	204	9	such	such	ADJ
ejpam-5549	204	10	that	that	SCONJ
ejpam-5549	204	11	lim	lim	PROPN
ejpam-5549	204	12	k→∞	k→∞	NOUN
ejpam-5549	205	1	[	[	X
ejpam-5549	205	2	i	i	PRON
ejpam-5549	205	3	m	m	VERB
ejpam-5549	205	4	+	+	CCONJ
ejpam-5549	205	5	h|b|q]k	h|b|q]k	PROPN
ejpam-5549	205	6	=	=	SYM
ejpam-5549	205	7	1mut	1mut	PROPN
ejpam-5549	205	8	.	.	PUNCT
ejpam-5549	206	1	thus	thus	ADV
ejpam-5549	206	2	,	,	PUNCT
ejpam-5549	206	3	lim	lim	PROPN
ejpam-5549	206	4	k→∞	k→∞	PROPN
ejpam-5549	206	5	y	y	PROPN
ejpam-5549	206	6	(	(	PUNCT
ejpam-5549	206	7	tk	tk	PROPN
ejpam-5549	206	8	)	)	PUNCT
ejpam-5549	206	9	=	=	PROPN
ejpam-5549	206	10	lim	lim	PROPN
ejpam-5549	206	11	k→∞	k→∞	NOUN
ejpam-5549	207	1	[	[	X
ejpam-5549	207	2	i	i	PRON
ejpam-5549	207	3	m	m	VERB
ejpam-5549	207	4	+	+	VERB
ejpam-5549	207	5	h|b|q]ky	h|b|q]ky	NUM
ejpam-5549	207	6	(	(	PUNCT
ejpam-5549	207	7	t0	t0	NOUN
ejpam-5549	207	8	)	)	PUNCT
ejpam-5549	207	9	=	=	SYM
ejpam-5549	208	1	1muty	1muty	NUM
ejpam-5549	208	2	(	(	PUNCT
ejpam-5549	208	3	t0	t0	NOUN
ejpam-5549	208	4	)	)	PUNCT
ejpam-5549	208	5	,	,	PUNCT
ejpam-5549	208	6	(	(	PUNCT
ejpam-5549	208	7	3.15	3.15	NUM
ejpam-5549	208	8	)	)	PUNCT
ejpam-5549	208	9	which	which	PRON
ejpam-5549	208	10	implies	imply	VERB
ejpam-5549	208	11	that	that	SCONJ
ejpam-5549	208	12	(	(	PUNCT
ejpam-5549	208	13	2.2	2.2	NUM
ejpam-5549	208	14	)	)	PUNCT
ejpam-5549	208	15	holds	hold	VERB
ejpam-5549	208	16	.	.	PUNCT
ejpam-5549	209	1	on	on	ADP
ejpam-5549	209	2	the	the	DET
ejpam-5549	209	3	other	other	ADJ
ejpam-5549	209	4	hand	hand	NOUN
ejpam-5549	209	5	,	,	PUNCT
ejpam-5549	209	6	the	the	DET
ejpam-5549	209	7	proof	proof	NOUN
ejpam-5549	209	8	of	of	ADP
ejpam-5549	209	9	(	(	PUNCT
ejpam-5549	209	10	2.3	2.3	NUM
ejpam-5549	209	11	)	)	PUNCT
ejpam-5549	209	12	can	can	AUX
ejpam-5549	209	13	be	be	AUX
ejpam-5549	209	14	cut	cut	VERB
ejpam-5549	209	15	since	since	SCONJ
ejpam-5549	209	16	the	the	DET
ejpam-5549	209	17	proof	proof	NOUN
ejpam-5549	209	18	is	be	AUX
ejpam-5549	209	19	similar	similar	ADJ
ejpam-5549	209	20	to	to	ADP
ejpam-5549	209	21	the	the	DET
ejpam-5549	209	22	proof	proof	NOUN
ejpam-5549	209	23	of	of	ADP
ejpam-5549	209	24	theorem	theorem	NOUN
ejpam-5549	209	25	1	1	NUM
ejpam-5549	209	26	.	.	NOUN
ejpam-5549	209	27	4	4	NUM
ejpam-5549	209	28	.	.	NOUN
ejpam-5549	209	29	simulations	simulation	NOUN
ejpam-5549	209	30	and	and	CCONJ
ejpam-5549	209	31	discussion	discussion	NOUN
ejpam-5549	209	32	in	in	ADP
ejpam-5549	209	33	order	order	NOUN
ejpam-5549	209	34	to	to	PART
ejpam-5549	209	35	demonstrate	demonstrate	VERB
ejpam-5549	209	36	the	the	DET
ejpam-5549	209	37	effectiveness	effectiveness	NOUN
ejpam-5549	209	38	of	of	ADP
ejpam-5549	209	39	theoretical	theoretical	ADJ
ejpam-5549	209	40	results	result	NOUN
ejpam-5549	209	41	in	in	ADP
ejpam-5549	209	42	this	this	DET
ejpam-5549	209	43	work	work	NOUN
ejpam-5549	209	44	,	,	PUNCT
ejpam-5549	209	45	the	the	DET
ejpam-5549	209	46	following	follow	VERB
ejpam-5549	209	47	example	example	NOUN
ejpam-5549	209	48	is	be	AUX
ejpam-5549	209	49	provided	provide	VERB
ejpam-5549	209	50	.	.	PUNCT
ejpam-5549	209	51	example	example	NOUN
ejpam-5549	209	52	1	1	NUM
ejpam-5549	209	53	.	.	X
ejpam-5549	209	54	assume	assume	VERB
ejpam-5549	209	55	that	that	SCONJ
ejpam-5549	209	56	there	there	PRON
ejpam-5549	209	57	are	be	VERB
ejpam-5549	209	58	8	8	NUM
ejpam-5549	209	59	agents	agent	NOUN
ejpam-5549	209	60	denoted	denote	VERB
ejpam-5549	209	61	by	by	ADP
ejpam-5549	209	62	1−	1−	NUM
ejpam-5549	209	63	8	8	NUM
ejpam-5549	209	64	,	,	PUNCT
ejpam-5549	209	65	where	where	SCONJ
ejpam-5549	209	66	the	the	DET
ejpam-5549	209	67	directed	direct	VERB
ejpam-5549	209	68	network	network	NOUN
ejpam-5549	209	69	of	of	ADP
ejpam-5549	209	70	communications	communication	NOUN
ejpam-5549	209	71	g	g	NOUN
ejpam-5549	209	72	is	be	AUX
ejpam-5549	209	73	given	give	VERB
ejpam-5549	209	74	as	as	ADP
ejpam-5549	209	75	in	in	ADP
ejpam-5549	209	76	figure	figure	NOUN
ejpam-5549	209	77	1	1	NUM
ejpam-5549	209	78	.	.	PUNCT
ejpam-5549	210	1	it	it	PRON
ejpam-5549	210	2	is	be	AUX
ejpam-5549	210	3	easy	easy	ADJ
ejpam-5549	210	4	to	to	PART
ejpam-5549	210	5	see	see	VERB
ejpam-5549	210	6	that	that	SCONJ
ejpam-5549	210	7	the	the	DET
ejpam-5549	210	8	network	network	NOUN
ejpam-5549	210	9	g	g	PROPN
ejpam-5549	210	10	consists	consist	VERB
ejpam-5549	210	11	of	of	ADP
ejpam-5549	210	12	8	8	NUM
ejpam-5549	210	13	nodes	node	NOUN
ejpam-5549	210	14	and	and	CCONJ
ejpam-5549	210	15	12	12	NUM
ejpam-5549	210	16	edges	edge	NOUN
ejpam-5549	210	17	.	.	PUNCT
ejpam-5549	211	1	c.	c.	PROPN
ejpam-5549	211	2	park	park	PROPN
ejpam-5549	211	3	,	,	PUNCT
ejpam-5549	211	4	s.	s.	PROPN
ejpam-5549	211	5	donganont	donganont	PROPN
ejpam-5549	211	6	and	and	CCONJ
ejpam-5549	211	7	m.	m.	PROPN
ejpam-5549	211	8	donganont	donganont	PROPN
ejpam-5549	211	9	/	/	SYM
ejpam-5549	211	10	eur	eur	PROPN
ejpam-5549	211	11	.	.	PUNCT
ejpam-5549	212	1	j.	j.	PROPN
ejpam-5549	212	2	pure	pure	PROPN
ejpam-5549	212	3	appl	appl	PROPN
ejpam-5549	212	4	.	.	PROPN
ejpam-5549	212	5	math	math	PROPN
ejpam-5549	212	6	,	,	PUNCT
ejpam-5549	212	7	18	18	NUM
ejpam-5549	212	8	(	(	PUNCT
ejpam-5549	212	9	1	1	NUM
ejpam-5549	212	10	)	)	PUNCT
ejpam-5549	212	11	(	(	PUNCT
ejpam-5549	212	12	2025	2025	NUM
ejpam-5549	212	13	)	)	PUNCT
ejpam-5549	212	14	,	,	PUNCT
ejpam-5549	212	15	5549	5549	NUM
ejpam-5549	212	16	12	12	NUM
ejpam-5549	212	17	of	of	ADP
ejpam-5549	212	18	16	16	NUM
ejpam-5549	212	19	in	in	ADP
ejpam-5549	212	20	order	order	NOUN
ejpam-5549	212	21	to	to	PART
ejpam-5549	212	22	solve	solve	VERB
ejpam-5549	212	23	scaled	scale	VERB
ejpam-5549	212	24	consensus	consensus	NOUN
ejpam-5549	213	1	,	,	PUNCT
ejpam-5549	213	2	we	we	PRON
ejpam-5549	213	3	first	first	ADV
ejpam-5549	213	4	transform	transform	VERB
ejpam-5549	213	5	the	the	DET
ejpam-5549	213	6	graph	graph	NOUN
ejpam-5549	213	7	g	g	NOUN
ejpam-5549	213	8	to	to	ADP
ejpam-5549	213	9	its	its	PRON
ejpam-5549	213	10	line	line	NOUN
ejpam-5549	213	11	graph	graph	NOUN
ejpam-5549	213	12	,	,	PUNCT
ejpam-5549	213	13	denoted	denote	VERB
ejpam-5549	213	14	by	by	ADP
ejpam-5549	213	15	l(g	l(g	NOUN
ejpam-5549	213	16	)	)	PUNCT
ejpam-5549	213	17	,	,	PUNCT
ejpam-5549	213	18	as	as	SCONJ
ejpam-5549	213	19	shown	show	VERB
ejpam-5549	213	20	in	in	ADP
ejpam-5549	213	21	figure	figure	NOUN
ejpam-5549	213	22	3	3	NUM
ejpam-5549	213	23	.	.	PUNCT
ejpam-5549	214	1	according	accord	VERB
ejpam-5549	214	2	to	to	ADP
ejpam-5549	214	3	the	the	DET
ejpam-5549	214	4	communication	communication	NOUN
ejpam-5549	214	5	network	network	NOUN
ejpam-5549	214	6	g	g	PROPN
ejpam-5549	214	7	,	,	PUNCT
ejpam-5549	214	8	the	the	DET
ejpam-5549	214	9	adjacency	adjacency	NOUN
ejpam-5549	214	10	matrix	matrix	NOUN
ejpam-5549	214	11	of	of	ADP
ejpam-5549	214	12	g	g	PROPN
ejpam-5549	214	13	is	be	AUX
ejpam-5549	214	14	denoted	denote	VERB
ejpam-5549	214	15	by	by	ADP
ejpam-5549	214	16	a	a	PRON
ejpam-5549	214	17	and	and	CCONJ
ejpam-5549	214	18	the	the	DET
ejpam-5549	214	19	laplacian	laplacian	ADJ
ejpam-5549	214	20	matrix	matrix	NOUN
ejpam-5549	214	21	of	of	ADP
ejpam-5549	214	22	its	its	PRON
ejpam-5549	214	23	line	line	NOUN
ejpam-5549	214	24	graph	graph	NOUN
ejpam-5549	214	25	is	be	AUX
ejpam-5549	214	26	−q	−q	ADJ
ejpam-5549	214	27	,	,	PUNCT
ejpam-5549	214	28	where	where	SCONJ
ejpam-5549	214	29	a	a	DET
ejpam-5549	214	30	=	=	NOUN
ejpam-5549	214	31			NOUN
ejpam-5549	214	32	0	0	NUM
ejpam-5549	214	33	0	0	NUM
ejpam-5549	214	34	0	0	NUM
ejpam-5549	214	35	1	1	NUM
ejpam-5549	214	36	0	0	NUM
ejpam-5549	214	37	0	0	NUM
ejpam-5549	214	38	0	0	NUM
ejpam-5549	214	39	1	1	NUM
ejpam-5549	214	40	1	1	NUM
ejpam-5549	214	41	0	0	NUM
ejpam-5549	214	42	0	0	NUM
ejpam-5549	214	43	0	0	NUM
ejpam-5549	214	44	0	0	NUM
ejpam-5549	214	45	0	0	NUM
ejpam-5549	214	46	0	0	NUM
ejpam-5549	214	47	1	1	NUM
ejpam-5549	214	48	0	0	NUM
ejpam-5549	214	49	1	1	NUM
ejpam-5549	214	50	0	0	NUM
ejpam-5549	214	51	0	0	NUM
ejpam-5549	214	52	1	1	NUM
ejpam-5549	214	53	0	0	NUM
ejpam-5549	214	54	0	0	NUM
ejpam-5549	214	55	0	0	NUM
ejpam-5549	214	56	1	1	NUM
ejpam-5549	214	57	0	0	NUM
ejpam-5549	214	58	1	1	NUM
ejpam-5549	214	59	0	0	NUM
ejpam-5549	214	60	0	0	NUM
ejpam-5549	214	61	0	0	NUM
ejpam-5549	214	62	0	0	NUM
ejpam-5549	214	63	0	0	NUM
ejpam-5549	214	64	0	0	NUM
ejpam-5549	214	65	0	0	NUM
ejpam-5549	214	66	0	0	NUM
ejpam-5549	214	67	1	1	NUM
ejpam-5549	214	68	0	0	NUM
ejpam-5549	214	69	0	0	NUM
ejpam-5549	214	70	0	0	NUM
ejpam-5549	214	71	0	0	NUM
ejpam-5549	214	72	1	1	NUM
ejpam-5549	214	73	0	0	NUM
ejpam-5549	214	74	0	0	NUM
ejpam-5549	214	75	0	0	NUM
ejpam-5549	214	76	1	1	NUM
ejpam-5549	214	77	0	0	NUM
ejpam-5549	214	78	0	0	NUM
ejpam-5549	214	79	0	0	NUM
ejpam-5549	214	80	0	0	NUM
ejpam-5549	214	81	0	0	NUM
ejpam-5549	214	82	0	0	NUM
ejpam-5549	214	83	0	0	NUM
ejpam-5549	214	84	0	0	NUM
ejpam-5549	214	85	1	1	NUM
ejpam-5549	214	86	0	0	NUM
ejpam-5549	214	87	0	0	NUM
ejpam-5549	214	88	0	0	NUM
ejpam-5549	214	89	0	0	NUM
ejpam-5549	214	90	0	0	NUM
ejpam-5549	214	91	0	0	NUM
ejpam-5549	214	92	0	0	NUM
ejpam-5549	214	93	0	0	NUM
ejpam-5549	214	94	1	1	NUM
ejpam-5549	214	95	0	0	NUM
ejpam-5549	214	96			NUM
ejpam-5549	214	97	and	and	CCONJ
ejpam-5549	215	1	q	q	NOUN
ejpam-5549	215	2	=	=	SYM
ejpam-5549	215	3			NOUN
ejpam-5549	215	4	−2	−2	NOUN
ejpam-5549	215	5	0	0	NUM
ejpam-5549	215	6	0	0	NUM
ejpam-5549	215	7	0	0	NUM
ejpam-5549	215	8	0	0	NUM
ejpam-5549	215	9	1	1	NUM
ejpam-5549	215	10	1	1	NUM
ejpam-5549	215	11	0	0	NUM
ejpam-5549	215	12	0	0	NUM
ejpam-5549	215	13	0	0	NUM
ejpam-5549	215	14	0	0	NUM
ejpam-5549	215	15	0	0	NUM
ejpam-5549	215	16	0	0	NUM
ejpam-5549	215	17	−1	−1	NOUN
ejpam-5549	215	18	0	0	NUM
ejpam-5549	215	19	0	0	NUM
ejpam-5549	215	20	0	0	NUM
ejpam-5549	215	21	0	0	NUM
ejpam-5549	215	22	0	0	NUM
ejpam-5549	215	23	0	0	NUM
ejpam-5549	215	24	0	0	NUM
ejpam-5549	215	25	0	0	NUM
ejpam-5549	215	26	0	0	NUM
ejpam-5549	215	27	1	1	NUM
ejpam-5549	215	28	1	1	NUM
ejpam-5549	215	29	1	1	NUM
ejpam-5549	215	30	−2	−2	NOUN
ejpam-5549	215	31	0	0	NUM
ejpam-5549	215	32	0	0	NUM
ejpam-5549	215	33	0	0	NUM
ejpam-5549	215	34	0	0	NUM
ejpam-5549	215	35	0	0	NUM
ejpam-5549	215	36	1	1	NUM
ejpam-5549	215	37	0	0	NUM
ejpam-5549	215	38	0	0	NUM
ejpam-5549	215	39	0	0	NUM
ejpam-5549	215	40	0	0	NUM
ejpam-5549	215	41	0	0	NUM
ejpam-5549	215	42	0	0	NUM
ejpam-5549	215	43	−1	−1	NOUN
ejpam-5549	215	44	0	0	NUM
ejpam-5549	215	45	0	0	NUM
ejpam-5549	215	46	0	0	NUM
ejpam-5549	215	47	0	0	NUM
ejpam-5549	215	48	0	0	NUM
ejpam-5549	215	49	0	0	NUM
ejpam-5549	215	50	0	0	NUM
ejpam-5549	215	51	1	1	NUM
ejpam-5549	215	52	0	0	NUM
ejpam-5549	215	53	0	0	NUM
ejpam-5549	215	54	1	1	NUM
ejpam-5549	215	55	1	1	NUM
ejpam-5549	215	56	−2	−2	NOUN
ejpam-5549	215	57	0	0	NUM
ejpam-5549	215	58	0	0	NUM
ejpam-5549	215	59	0	0	NUM
ejpam-5549	215	60	0	0	NUM
ejpam-5549	215	61	0	0	NUM
ejpam-5549	215	62	0	0	NUM
ejpam-5549	215	63	0	0	NUM
ejpam-5549	215	64	1	1	NUM
ejpam-5549	215	65	1	1	NUM
ejpam-5549	215	66	0	0	NUM
ejpam-5549	215	67	0	0	NUM
ejpam-5549	215	68	0	0	NUM
ejpam-5549	215	69	−2	−2	NOUN
ejpam-5549	215	70	0	0	NUM
ejpam-5549	215	71	0	0	NUM
ejpam-5549	215	72	0	0	NUM
ejpam-5549	215	73	0	0	NUM
ejpam-5549	215	74	0	0	NUM
ejpam-5549	215	75	0	0	NUM
ejpam-5549	215	76	0	0	NUM
ejpam-5549	215	77	0	0	NUM
ejpam-5549	215	78	0	0	NUM
ejpam-5549	215	79	0	0	NUM
ejpam-5549	215	80	1	1	NUM
ejpam-5549	215	81	0	0	NUM
ejpam-5549	215	82	−1	−1	NOUN
ejpam-5549	215	83	0	0	NUM
ejpam-5549	215	84	0	0	NUM
ejpam-5549	215	85	0	0	NUM
ejpam-5549	215	86	0	0	NUM
ejpam-5549	215	87	0	0	NUM
ejpam-5549	215	88	0	0	NUM
ejpam-5549	215	89	0	0	NUM
ejpam-5549	215	90	0	0	NUM
ejpam-5549	215	91	0	0	NUM
ejpam-5549	215	92	0	0	NUM
ejpam-5549	215	93	1	1	NUM
ejpam-5549	215	94	1	1	NUM
ejpam-5549	215	95	−2	−2	NOUN
ejpam-5549	215	96	0	0	NUM
ejpam-5549	215	97	0	0	NUM
ejpam-5549	215	98	0	0	NUM
ejpam-5549	215	99	0	0	NUM
ejpam-5549	215	100	1	1	NUM
ejpam-5549	215	101	1	1	NUM
ejpam-5549	215	102	0	0	NUM
ejpam-5549	215	103	0	0	NUM
ejpam-5549	215	104	0	0	NUM
ejpam-5549	215	105	0	0	NUM
ejpam-5549	215	106	0	0	NUM
ejpam-5549	215	107	0	0	NUM
ejpam-5549	216	1	−2	−2	NOUN
ejpam-5549	216	2	0	0	NUM
ejpam-5549	216	3	0	0	NUM
ejpam-5549	216	4	0	0	NUM
ejpam-5549	216	5	0	0	NUM
ejpam-5549	216	6	0	0	NUM
ejpam-5549	216	7	0	0	NUM
ejpam-5549	216	8	0	0	NUM
ejpam-5549	216	9	0	0	NUM
ejpam-5549	216	10	0	0	NUM
ejpam-5549	216	11	0	0	NUM
ejpam-5549	216	12	1	1	NUM
ejpam-5549	216	13	0	0	NUM
ejpam-5549	216	14	−1	−1	NOUN
ejpam-5549	216	15	0	0	NUM
ejpam-5549	216	16	0	0	NUM
ejpam-5549	216	17	0	0	NUM
ejpam-5549	216	18	0	0	NUM
ejpam-5549	216	19	0	0	NUM
ejpam-5549	216	20	0	0	NUM
ejpam-5549	216	21	0	0	NUM
ejpam-5549	216	22	0	0	NUM
ejpam-5549	216	23	0	0	NUM
ejpam-5549	216	24	0	0	NUM
ejpam-5549	216	25	1	1	NUM
ejpam-5549	216	26	1	1	NUM
ejpam-5549	216	27	−2	−2	NOUN
ejpam-5549	216	28	0	0	NUM
ejpam-5549	216	29	0	0	NUM
ejpam-5549	216	30	0	0	NUM
ejpam-5549	216	31	0	0	NUM
ejpam-5549	216	32	0	0	NUM
ejpam-5549	216	33	0	0	NUM
ejpam-5549	216	34	0	0	NUM
ejpam-5549	216	35	0	0	NUM
ejpam-5549	216	36	0	0	NUM
ejpam-5549	216	37	0	0	NUM
ejpam-5549	216	38	0	0	NUM
ejpam-5549	216	39	1	1	NUM
ejpam-5549	216	40	−1	−1	NOUN
ejpam-5549	216	41			NOUN
ejpam-5549	216	42	.	.	PUNCT
ejpam-5549	217	1	it	it	PRON
ejpam-5549	217	2	can	can	AUX
ejpam-5549	217	3	be	be	AUX
ejpam-5549	217	4	seen	see	VERB
ejpam-5549	217	5	that	that	SCONJ
ejpam-5549	217	6	the	the	DET
ejpam-5549	217	7	line	line	NOUN
ejpam-5549	217	8	graph	graph	NOUN
ejpam-5549	217	9	l(g	l(g	PROPN
ejpam-5549	217	10	)	)	PUNCT
ejpam-5549	217	11	has	have	VERB
ejpam-5549	217	12	12	12	NUM
ejpam-5549	217	13	nodes	node	NOUN
ejpam-5549	217	14	and	and	CCONJ
ejpam-5549	217	15	19	19	NUM
ejpam-5549	217	16	edges	edge	NOUN
ejpam-5549	217	17	as	as	SCONJ
ejpam-5549	217	18	shown	show	VERB
ejpam-5549	217	19	in	in	ADP
ejpam-5549	217	20	figure	figure	NOUN
ejpam-5549	217	21	3	3	NUM
ejpam-5549	217	22	.	.	PUNCT
ejpam-5549	218	1	let	let	VERB
ejpam-5549	218	2	b	b	NOUN
ejpam-5549	218	3	=	=	SYM
ejpam-5549	218	4	(	(	PUNCT
ejpam-5549	218	5	βij	βij	PROPN
ejpam-5549	218	6	)	)	PUNCT
ejpam-5549	218	7	=	=	SYM
ejpam-5549	219	1	(	(	PUNCT
ejpam-5549	219	2	0.2,−0.2	0.2,−0.2	NOUN
ejpam-5549	219	3	,	,	PUNCT
ejpam-5549	219	4	1,−1	1,−1	NUM
ejpam-5549	219	5	,	,	PUNCT
ejpam-5549	219	6	1.5,−1.5	1.5,−1.5	NUM
ejpam-5549	219	7	,	,	PUNCT
ejpam-5549	219	8	0.5,−0.5	0.5,−0.5	NUM
ejpam-5549	219	9	,	,	PUNCT
ejpam-5549	219	10	1.1,−1.1	1.1,−1.1	NUM
ejpam-5549	219	11	,	,	PUNCT
ejpam-5549	219	12	0.7,−0.7)t	0.7,−0.7)t	PROPN
ejpam-5549	219	13	∈	∈	PROPN
ejpam-5549	219	14	r12	r12	NOUN
ejpam-5549	219	15	and	and	CCONJ
ejpam-5549	219	16	the	the	DET
ejpam-5549	219	17	initial	initial	ADJ
ejpam-5549	219	18	values	value	NOUN
ejpam-5549	219	19	are	be	AUX
ejpam-5549	219	20	(	(	PUNCT
ejpam-5549	219	21	xij(t0	xij(t0	NOUN
ejpam-5549	219	22	)	)	PUNCT
ejpam-5549	219	23	)	)	PUNCT
ejpam-5549	220	1	=	=	PUNCT
ejpam-5549	220	2	(	(	PUNCT
ejpam-5549	220	3	1,−1	1,−1	NUM
ejpam-5549	220	4	,	,	PUNCT
ejpam-5549	220	5	0.5,−0.5	0.5,−0.5	NUM
ejpam-5549	220	6	,	,	PUNCT
ejpam-5549	220	7	1.5,−1.5,−2	1.5,−1.5,−2	NUM
ejpam-5549	220	8	,	,	PUNCT
ejpam-5549	220	9	2	2	NUM
ejpam-5549	220	10	,	,	PUNCT
ejpam-5549	220	11	3,−3	3,−3	NUM
ejpam-5549	220	12	,	,	PUNCT
ejpam-5549	220	13	4,−4)t	4,−4)t	PRON
ejpam-5549	220	14	∈	∈	PROPN
ejpam-5549	220	15	r12	r12	NOUN
ejpam-5549	220	16	.	.	PUNCT
ejpam-5549	221	1	then	then	ADV
ejpam-5549	221	2	,	,	PUNCT
ejpam-5549	221	3	by	by	ADP
ejpam-5549	221	4	choosing	choose	VERB
ejpam-5549	221	5	h	h	NOUN
ejpam-5549	221	6	=	=	NOUN
ejpam-5549	221	7	0.125	0.125	NUM
ejpam-5549	221	8	such	such	ADJ
ejpam-5549	221	9	that	that	SCONJ
ejpam-5549	221	10	0	0	NUM
ejpam-5549	221	11	<	<	X
ejpam-5549	221	12	h	h	X
ejpam-5549	221	13	<	<	X
ejpam-5549	221	14	1	1	NUM
ejpam-5549	221	15	maxi	maxi	NOUN
ejpam-5549	221	16	,	,	PUNCT
ejpam-5549	221	17	j	j	PROPN
ejpam-5549	221	18	{	{	PUNCT
ejpam-5549	221	19	∑	∑	PROPN
ejpam-5549	221	20	j∈nj	j∈nj	PROPN
ejpam-5549	221	21	,	,	PUNCT
ejpam-5549	221	22	s	s	PART
ejpam-5549	221	23	̸=i	̸=i	PROPN
ejpam-5549	221	24	ajs}βmax	ajs}βmax	PROPN
ejpam-5549	221	25	=	=	SYM
ejpam-5549	221	26	1	1	NUM
ejpam-5549	221	27	3	3	NUM
ejpam-5549	221	28	.	.	PUNCT
ejpam-5549	222	1	obviously	obviously	ADV
ejpam-5549	222	2	,	,	PUNCT
ejpam-5549	222	3	l(g	l(g	PROPN
ejpam-5549	222	4	)	)	PUNCT
ejpam-5549	222	5	contains	contain	VERB
ejpam-5549	222	6	a	a	DET
ejpam-5549	222	7	spanning	span	VERB
ejpam-5549	222	8	tree	tree	NOUN
ejpam-5549	222	9	,	,	PUNCT
ejpam-5549	222	10	and	and	CCONJ
ejpam-5549	222	11	hence	hence	ADV
ejpam-5549	222	12	,	,	PUNCT
ejpam-5549	222	13	by	by	ADP
ejpam-5549	222	14	theorem	theorem	NOUN
ejpam-5549	222	15	2	2	NUM
ejpam-5549	222	16	,	,	PUNCT
ejpam-5549	222	17	the	the	DET
ejpam-5549	222	18	scaled	scale	VERB
ejpam-5549	222	19	edge	edge	NOUN
ejpam-5549	222	20	consensus	consensus	NOUN
ejpam-5549	222	21	problems	problem	NOUN
ejpam-5549	222	22	are	be	AUX
ejpam-5549	222	23	solved	solve	VERB
ejpam-5549	222	24	(	(	PUNCT
ejpam-5549	222	25	see	see	VERB
ejpam-5549	222	26	figure	figure	NOUN
ejpam-5549	222	27	4	4	NUM
ejpam-5549	222	28	)	)	PUNCT
ejpam-5549	222	29	.	.	PUNCT
ejpam-5549	223	1	however	however	ADV
ejpam-5549	223	2	,	,	PUNCT
ejpam-5549	223	3	if	if	SCONJ
ejpam-5549	223	4	h	h	NOUN
ejpam-5549	223	5	does	do	AUX
ejpam-5549	223	6	not	not	PART
ejpam-5549	223	7	satisfy	satisfy	VERB
ejpam-5549	223	8	(	(	PUNCT
ejpam-5549	223	9	3.11	3.11	NUM
ejpam-5549	223	10	)	)	PUNCT
ejpam-5549	223	11	,	,	PUNCT
ejpam-5549	223	12	our	our	PRON
ejpam-5549	223	13	protocol	protocol	NOUN
ejpam-5549	223	14	can	can	AUX
ejpam-5549	223	15	not	not	PART
ejpam-5549	223	16	guarantee	guarantee	VERB
ejpam-5549	223	17	reaching	reach	VERB
ejpam-5549	223	18	scaled	scale	VERB
ejpam-5549	223	19	edge	edge	NOUN
ejpam-5549	223	20	consensus	consensus	NOUN
ejpam-5549	223	21	as	as	SCONJ
ejpam-5549	223	22	shown	show	VERB
ejpam-5549	223	23	in	in	ADP
ejpam-5549	223	24	figure	figure	NOUN
ejpam-5549	223	25	4	4	NUM
ejpam-5549	223	26	for	for	ADP
ejpam-5549	223	27	h	h	NOUN
ejpam-5549	223	28	=	=	NOUN
ejpam-5549	223	29	0.7	0.7	NUM
ejpam-5549	223	30	.	.	PUNCT
ejpam-5549	224	1	c.	c.	PROPN
ejpam-5549	224	2	park	park	PROPN
ejpam-5549	224	3	,	,	PUNCT
ejpam-5549	224	4	s.	s.	PROPN
ejpam-5549	224	5	donganont	donganont	PROPN
ejpam-5549	224	6	and	and	CCONJ
ejpam-5549	224	7	m.	m.	PROPN
ejpam-5549	224	8	donganont	donganont	PROPN
ejpam-5549	224	9	/	/	SYM
ejpam-5549	224	10	eur	eur	PROPN
ejpam-5549	224	11	.	.	PUNCT
ejpam-5549	225	1	j.	j.	PROPN
ejpam-5549	225	2	pure	pure	PROPN
ejpam-5549	225	3	appl	appl	PROPN
ejpam-5549	225	4	.	.	PROPN
ejpam-5549	225	5	math	math	PROPN
ejpam-5549	225	6	,	,	PUNCT
ejpam-5549	225	7	18	18	NUM
ejpam-5549	225	8	(	(	PUNCT
ejpam-5549	225	9	1	1	NUM
ejpam-5549	225	10	)	)	PUNCT
ejpam-5549	225	11	(	(	PUNCT
ejpam-5549	225	12	2025	2025	NUM
ejpam-5549	225	13	)	)	PUNCT
ejpam-5549	225	14	,	,	PUNCT
ejpam-5549	225	15	5549	5549	NUM
ejpam-5549	225	16	13	13	NUM
ejpam-5549	225	17	of	of	ADP
ejpam-5549	225	18	16	16	NUM
ejpam-5549	225	19	figure	figure	NOUN
ejpam-5549	225	20	4	4	NUM
ejpam-5549	225	21	:	:	PUNCT
ejpam-5549	225	22	the	the	DET
ejpam-5549	225	23	state	state	NOUN
ejpam-5549	225	24	trajectory	trajectory	NOUN
ejpam-5549	225	25	of	of	ADP
ejpam-5549	225	26	each	each	DET
ejpam-5549	225	27	edge	edge	NOUN
ejpam-5549	225	28	using	use	VERB
ejpam-5549	225	29	protocol(3.8	protocol(3.8	NOUN
ejpam-5549	225	30	)	)	PUNCT
ejpam-5549	225	31	with	with	ADP
ejpam-5549	225	32	h	h	NOUN
ejpam-5549	225	33	=	=	NOUN
ejpam-5549	225	34	0.125	0.125	NUM
ejpam-5549	225	35	and	and	CCONJ
ejpam-5549	225	36	h	h	NOUN
ejpam-5549	225	37	=	=	NOUN
ejpam-5549	225	38	0.7	0.7	NUM
ejpam-5549	225	39	,	,	PUNCT
ejpam-5549	225	40	respectively	respectively	ADV
ejpam-5549	225	41	.	.	PUNCT
ejpam-5549	226	1	in	in	ADP
ejpam-5549	226	2	addition	addition	NOUN
ejpam-5549	226	3	,	,	PUNCT
ejpam-5549	226	4	when	when	SCONJ
ejpam-5549	226	5	(	(	PUNCT
ejpam-5549	226	6	βij	βij	NOUN
ejpam-5549	226	7	)	)	PUNCT
ejpam-5549	226	8	=	=	PUNCT
ejpam-5549	226	9	(	(	PUNCT
ejpam-5549	226	10	1	1	NUM
ejpam-5549	226	11	,	,	PUNCT
ejpam-5549	226	12	1	1	NUM
ejpam-5549	226	13	,	,	PUNCT
ejpam-5549	226	14	1	1	NUM
ejpam-5549	226	15	,	,	PUNCT
ejpam-5549	226	16	1	1	NUM
ejpam-5549	226	17	,	,	PUNCT
ejpam-5549	226	18	1	1	NUM
ejpam-5549	226	19	,	,	PUNCT
ejpam-5549	226	20	1	1	NUM
ejpam-5549	226	21	,	,	PUNCT
ejpam-5549	226	22	1	1	NUM
ejpam-5549	226	23	,	,	PUNCT
ejpam-5549	226	24	1	1	NUM
ejpam-5549	226	25	,	,	PUNCT
ejpam-5549	226	26	1	1	NUM
ejpam-5549	226	27	,	,	PUNCT
ejpam-5549	226	28	1	1	NUM
ejpam-5549	226	29	,	,	PUNCT
ejpam-5549	226	30	1	1	NUM
ejpam-5549	226	31	,	,	PUNCT
ejpam-5549	226	32	1)t	1)t	NUM
ejpam-5549	226	33	the	the	DET
ejpam-5549	226	34	scaled	scale	VERB
ejpam-5549	226	35	consensus	consensus	NOUN
ejpam-5549	226	36	problems	problem	NOUN
ejpam-5549	226	37	are	be	AUX
ejpam-5549	226	38	the	the	DET
ejpam-5549	226	39	usual	usual	ADJ
ejpam-5549	226	40	consensus	consensus	NOUN
ejpam-5549	226	41	problems(see	problems(see	NOUN
ejpam-5549	226	42	figure	figure	NOUN
ejpam-5549	226	43	5	5	NUM
ejpam-5549	226	44	)	)	PUNCT
ejpam-5549	226	45	figure	figure	NOUN
ejpam-5549	226	46	5	5	NUM
ejpam-5549	226	47	:	:	PUNCT
ejpam-5549	226	48	the	the	DET
ejpam-5549	226	49	state	state	NOUN
ejpam-5549	226	50	of	of	ADP
ejpam-5549	226	51	each	each	DET
ejpam-5549	226	52	edge	edge	NOUN
ejpam-5549	226	53	under	under	ADP
ejpam-5549	226	54	protocol	protocol	NOUN
ejpam-5549	226	55	(	(	PUNCT
ejpam-5549	226	56	3.8	3.8	NUM
ejpam-5549	226	57	)	)	PUNCT
ejpam-5549	226	58	with	with	ADP
ejpam-5549	226	59	(	(	PUNCT
ejpam-5549	226	60	βij	βij	NOUN
ejpam-5549	226	61	)	)	PUNCT
ejpam-5549	226	62	=	=	PUNCT
ejpam-5549	227	1	(	(	PUNCT
ejpam-5549	227	2	1	1	NUM
ejpam-5549	227	3	,	,	PUNCT
ejpam-5549	227	4	1	1	NUM
ejpam-5549	227	5	,	,	PUNCT
ejpam-5549	227	6	1	1	NUM
ejpam-5549	227	7	,	,	PUNCT
ejpam-5549	227	8	1	1	NUM
ejpam-5549	227	9	,	,	PUNCT
ejpam-5549	227	10	1	1	NUM
ejpam-5549	227	11	,	,	PUNCT
ejpam-5549	227	12	1	1	NUM
ejpam-5549	227	13	,	,	PUNCT
ejpam-5549	227	14	1	1	NUM
ejpam-5549	227	15	,	,	PUNCT
ejpam-5549	227	16	1	1	NUM
ejpam-5549	227	17	,	,	PUNCT
ejpam-5549	227	18	1	1	NUM
ejpam-5549	227	19	,	,	PUNCT
ejpam-5549	227	20	1	1	NUM
ejpam-5549	227	21	,	,	PUNCT
ejpam-5549	227	22	1	1	NUM
ejpam-5549	227	23	,	,	PUNCT
ejpam-5549	227	24	1)t	1)t	NUM
ejpam-5549	227	25	,	,	PUNCT
ejpam-5549	227	26	h	h	NOUN
ejpam-5549	227	27	=	=	NOUN
ejpam-5549	227	28	0.125	0.125	NUM
ejpam-5549	227	29	and	and	CCONJ
ejpam-5549	227	30	h	h	NOUN
ejpam-5549	228	1	=	=	NOUN
ejpam-5549	228	2	0.7	0.7	NUM
ejpam-5549	228	3	,	,	PUNCT
ejpam-5549	229	1	respectively	respectively	ADV
ejpam-5549	229	2	it	it	PRON
ejpam-5549	229	3	can	can	AUX
ejpam-5549	229	4	be	be	AUX
ejpam-5549	229	5	seen	see	VERB
ejpam-5549	229	6	that	that	SCONJ
ejpam-5549	229	7	for	for	ADP
ejpam-5549	229	8	undirected	undirected	ADJ
ejpam-5549	229	9	network	network	NOUN
ejpam-5549	229	10	,	,	PUNCT
ejpam-5549	229	11	the	the	DET
ejpam-5549	229	12	protocol	protocol	NOUN
ejpam-5549	229	13	(	(	PUNCT
ejpam-5549	229	14	3.1	3.1	NUM
ejpam-5549	229	15	)	)	PUNCT
ejpam-5549	229	16	solves	solve	NOUN
ejpam-5549	229	17	scaled	scale	VERB
ejpam-5549	229	18	consensus	consensus	NOUN
ejpam-5549	229	19	problems	problem	NOUN
ejpam-5549	229	20	if	if	SCONJ
ejpam-5549	229	21	the	the	DET
ejpam-5549	229	22	communication	communication	NOUN
ejpam-5549	229	23	network	network	NOUN
ejpam-5549	229	24	is	be	AUX
ejpam-5549	229	25	connected	connect	VERB
ejpam-5549	229	26	and	and	CCONJ
ejpam-5549	229	27	the	the	DET
ejpam-5549	229	28	step	step	NOUN
ejpam-5549	229	29	size	size	NOUN
ejpam-5549	229	30	is	be	AUX
ejpam-5549	229	31	small	small	ADJ
ejpam-5549	229	32	enough	enough	ADV
ejpam-5549	229	33	.	.	PUNCT
ejpam-5549	230	1	on	on	ADP
ejpam-5549	230	2	the	the	DET
ejpam-5549	230	3	other	other	ADJ
ejpam-5549	230	4	hand	hand	NOUN
ejpam-5549	230	5	,	,	PUNCT
ejpam-5549	230	6	for	for	ADP
ejpam-5549	230	7	directed	direct	VERB
ejpam-5549	230	8	networks	network	NOUN
ejpam-5549	230	9	,	,	PUNCT
ejpam-5549	230	10	our	our	PRON
ejpam-5549	230	11	protocol	protocol	NOUN
ejpam-5549	230	12	(	(	PUNCT
ejpam-5549	230	13	3.8	3.8	NUM
ejpam-5549	230	14	)	)	PUNCT
ejpam-5549	230	15	proves	prove	VERB
ejpam-5549	230	16	scaled	scale	VERB
ejpam-5549	230	17	consensus	consensus	NOUN
ejpam-5549	230	18	problems	problem	NOUN
ejpam-5549	230	19	when	when	SCONJ
ejpam-5549	230	20	the	the	DET
ejpam-5549	230	21	the	the	DET
ejpam-5549	230	22	communication	communication	NOUN
ejpam-5549	230	23	network	network	NOUN
ejpam-5549	230	24	contains	contain	VERB
ejpam-5549	230	25	a	a	DET
ejpam-5549	230	26	spanning	span	VERB
ejpam-5549	230	27	tree	tree	NOUN
ejpam-5549	230	28	under	under	ADP
ejpam-5549	230	29	the	the	DET
ejpam-5549	230	30	small	small	ADJ
ejpam-5549	230	31	step	step	NOUN
ejpam-5549	230	32	size	size	NOUN
ejpam-5549	230	33	see	see	VERB
ejpam-5549	230	34	figure	figure	NOUN
ejpam-5549	230	35	4	4	NUM
ejpam-5549	230	36	for	for	ADP
ejpam-5549	230	37	the	the	DET
ejpam-5549	230	38	scalar	scalar	ADJ
ejpam-5549	230	39	scale	scale	NOUN
ejpam-5549	230	40	βij	βij	NOUN
ejpam-5549	230	41	̸=	̸=	PROPN
ejpam-5549	230	42	1	1	NUM
ejpam-5549	230	43	.	.	PUNCT
ejpam-5549	231	1	moreover	moreover	ADV
ejpam-5549	231	2	,	,	PUNCT
ejpam-5549	231	3	if	if	SCONJ
ejpam-5549	231	4	the	the	DET
ejpam-5549	231	5	scalar	scalar	ADJ
ejpam-5549	231	6	scale	scale	NOUN
ejpam-5549	231	7	βij	βij	NOUN
ejpam-5549	231	8	=	=	SYM
ejpam-5549	231	9	1	1	NUM
ejpam-5549	231	10	,	,	PUNCT
ejpam-5549	231	11	the	the	DET
ejpam-5549	231	12	simulations	simulation	NOUN
ejpam-5549	231	13	results	result	NOUN
ejpam-5549	231	14	show	show	VERB
ejpam-5549	231	15	the	the	DET
ejpam-5549	231	16	effectiveness	effectiveness	NOUN
ejpam-5549	231	17	and	and	CCONJ
ejpam-5549	231	18	generalization	generalization	NOUN
ejpam-5549	231	19	of	of	ADP
ejpam-5549	231	20	our	our	PRON
ejpam-5549	231	21	theorems	theorem	NOUN
ejpam-5549	231	22	compared	compare	VERB
ejpam-5549	231	23	with	with	ADP
ejpam-5549	231	24	the	the	DET
ejpam-5549	231	25	results	result	NOUN
ejpam-5549	231	26	of	of	ADP
ejpam-5549	231	27	[	[	X
ejpam-5549	231	28	18	18	NUM
ejpam-5549	231	29	,	,	PUNCT
ejpam-5549	231	30	19	19	NUM
ejpam-5549	231	31	]	]	PUNCT
ejpam-5549	231	32	(	(	PUNCT
ejpam-5549	231	33	see	see	VERB
ejpam-5549	231	34	figure	figure	NOUN
ejpam-5549	231	35	5	5	NUM
ejpam-5549	231	36	)	)	PUNCT
ejpam-5549	231	37	.	.	PUNCT
ejpam-5549	232	1	c.	c.	PROPN
ejpam-5549	232	2	park	park	PROPN
ejpam-5549	232	3	,	,	PUNCT
ejpam-5549	232	4	s.	s.	PROPN
ejpam-5549	232	5	donganont	donganont	PROPN
ejpam-5549	232	6	and	and	CCONJ
ejpam-5549	232	7	m.	m.	PROPN
ejpam-5549	232	8	donganont	donganont	PROPN
ejpam-5549	232	9	/	/	SYM
ejpam-5549	232	10	eur	eur	PROPN
ejpam-5549	232	11	.	.	PUNCT
ejpam-5549	233	1	j.	j.	PROPN
ejpam-5549	233	2	pure	pure	PROPN
ejpam-5549	233	3	appl	appl	PROPN
ejpam-5549	233	4	.	.	PROPN
ejpam-5549	233	5	math	math	PROPN
ejpam-5549	233	6	,	,	PUNCT
ejpam-5549	233	7	18	18	NUM
ejpam-5549	233	8	(	(	PUNCT
ejpam-5549	233	9	1	1	NUM
ejpam-5549	233	10	)	)	PUNCT
ejpam-5549	233	11	(	(	PUNCT
ejpam-5549	233	12	2025	2025	NUM
ejpam-5549	233	13	)	)	PUNCT
ejpam-5549	233	14	,	,	PUNCT
ejpam-5549	233	15	5549	5549	NUM
ejpam-5549	233	16	14	14	NUM
ejpam-5549	233	17	of	of	ADP
ejpam-5549	233	18	16	16	NUM
ejpam-5549	233	19	5	5	NUM
ejpam-5549	233	20	.	.	PUNCT
ejpam-5549	234	1	conclusion	conclusion	NOUN
ejpam-5549	234	2	this	this	DET
ejpam-5549	234	3	research	research	NOUN
ejpam-5549	234	4	investigates	investigate	VERB
ejpam-5549	234	5	the	the	DET
ejpam-5549	234	6	scaled	scaled	ADJ
ejpam-5549	234	7	consensus	consensus	NOUN
ejpam-5549	234	8	problems	problem	NOUN
ejpam-5549	234	9	of	of	ADP
ejpam-5549	234	10	edge	edge	NOUN
ejpam-5549	234	11	dynamics	dynamic	NOUN
ejpam-5549	234	12	in	in	ADP
ejpam-5549	234	13	hybrid	hybrid	ADJ
ejpam-5549	234	14	multi	multi	ADJ
ejpam-5549	234	15	-	-	ADJ
ejpam-5549	234	16	agent	agent	ADJ
ejpam-5549	234	17	systems	system	NOUN
ejpam-5549	234	18	(	(	PUNCT
ejpam-5549	234	19	hmass	hmass	NOUN
ejpam-5549	234	20	)	)	PUNCT
ejpam-5549	234	21	,	,	PUNCT
ejpam-5549	234	22	focusing	focus	VERB
ejpam-5549	234	23	on	on	ADP
ejpam-5549	234	24	both	both	CCONJ
ejpam-5549	234	25	directed	direct	VERB
ejpam-5549	234	26	and	and	CCONJ
ejpam-5549	234	27	undirected	undirected	ADJ
ejpam-5549	234	28	topologies	topology	NOUN
ejpam-5549	234	29	.	.	PUNCT
ejpam-5549	235	1	by	by	ADP
ejpam-5549	235	2	shifting	shift	VERB
ejpam-5549	235	3	the	the	DET
ejpam-5549	235	4	emphasis	emphasis	NOUN
ejpam-5549	235	5	from	from	ADP
ejpam-5549	235	6	node	node	ADJ
ejpam-5549	235	7	dynamics	dynamic	NOUN
ejpam-5549	235	8	to	to	PART
ejpam-5549	235	9	edge	edge	VERB
ejpam-5549	235	10	interactions	interaction	NOUN
ejpam-5549	235	11	,	,	PUNCT
ejpam-5549	235	12	the	the	DET
ejpam-5549	235	13	study	study	NOUN
ejpam-5549	235	14	derives	derive	VERB
ejpam-5549	235	15	necessary	necessary	ADJ
ejpam-5549	235	16	and	and	CCONJ
ejpam-5549	235	17	sufficient	sufficient	ADJ
ejpam-5549	235	18	conditions	condition	NOUN
ejpam-5549	235	19	for	for	ADP
ejpam-5549	235	20	achieving	achieve	VERB
ejpam-5549	235	21	edge	edge	NOUN
ejpam-5549	235	22	consensus	consensus	NOUN
ejpam-5549	235	23	and	and	CCONJ
ejpam-5549	235	24	proposes	propose	VERB
ejpam-5549	235	25	effective	effective	ADJ
ejpam-5549	235	26	protocols	protocol	NOUN
ejpam-5549	235	27	tailored	tailor	VERB
ejpam-5549	235	28	to	to	ADP
ejpam-5549	235	29	specific	specific	ADJ
ejpam-5549	235	30	network	network	NOUN
ejpam-5549	235	31	structures	structure	NOUN
ejpam-5549	235	32	.	.	PUNCT
ejpam-5549	236	1	the	the	DET
ejpam-5549	236	2	findings	finding	NOUN
ejpam-5549	236	3	demonstrate	demonstrate	VERB
ejpam-5549	236	4	that	that	SCONJ
ejpam-5549	236	5	these	these	DET
ejpam-5549	236	6	protocols	protocol	NOUN
ejpam-5549	236	7	can	can	AUX
ejpam-5549	236	8	successfully	successfully	ADV
ejpam-5549	236	9	resolve	resolve	VERB
ejpam-5549	236	10	edge	edge	NOUN
ejpam-5549	236	11	consensus	consensus	NOUN
ejpam-5549	236	12	challenges	challenge	NOUN
ejpam-5549	236	13	,	,	PUNCT
ejpam-5549	236	14	provided	provide	VERB
ejpam-5549	236	15	that	that	SCONJ
ejpam-5549	236	16	the	the	DET
ejpam-5549	236	17	network	network	NOUN
ejpam-5549	236	18	maintains	maintain	VERB
ejpam-5549	236	19	appropriate	appropriate	ADJ
ejpam-5549	236	20	connectivity	connectivity	NOUN
ejpam-5549	236	21	and	and	CCONJ
ejpam-5549	236	22	structure	structure	NOUN
ejpam-5549	236	23	.	.	PUNCT
ejpam-5549	237	1	numerical	numerical	ADJ
ejpam-5549	237	2	simulations	simulation	NOUN
ejpam-5549	237	3	validate	validate	VERB
ejpam-5549	237	4	the	the	DET
ejpam-5549	237	5	robustness	robustness	NOUN
ejpam-5549	237	6	and	and	CCONJ
ejpam-5549	237	7	effectiveness	effectiveness	NOUN
ejpam-5549	237	8	of	of	ADP
ejpam-5549	237	9	the	the	DET
ejpam-5549	237	10	proposed	propose	VERB
ejpam-5549	237	11	methodologies	methodology	NOUN
ejpam-5549	237	12	,	,	PUNCT
ejpam-5549	237	13	underscoring	underscore	VERB
ejpam-5549	237	14	their	their	PRON
ejpam-5549	237	15	relevance	relevance	NOUN
ejpam-5549	237	16	in	in	ADP
ejpam-5549	237	17	practical	practical	ADJ
ejpam-5549	237	18	applications	application	NOUN
ejpam-5549	237	19	such	such	ADJ
ejpam-5549	237	20	as	as	ADP
ejpam-5549	237	21	network	network	NOUN
ejpam-5549	237	22	communication	communication	NOUN
ejpam-5549	237	23	,	,	PUNCT
ejpam-5549	237	24	distributed	distribute	VERB
ejpam-5549	237	25	control	control	NOUN
ejpam-5549	237	26	systems	system	NOUN
ejpam-5549	237	27	,	,	PUNCT
ejpam-5549	237	28	and	and	CCONJ
ejpam-5549	237	29	social	social	ADJ
ejpam-5549	237	30	networks	network	NOUN
ejpam-5549	237	31	.	.	PUNCT
ejpam-5549	238	1	this	this	DET
ejpam-5549	238	2	work	work	NOUN
ejpam-5549	238	3	contributes	contribute	VERB
ejpam-5549	238	4	to	to	ADP
ejpam-5549	238	5	a	a	DET
ejpam-5549	238	6	deeper	deep	ADJ
ejpam-5549	238	7	understanding	understanding	NOUN
ejpam-5549	238	8	of	of	ADP
ejpam-5549	238	9	cooperative	cooperative	ADJ
ejpam-5549	238	10	behavior	behavior	NOUN
ejpam-5549	238	11	in	in	ADP
ejpam-5549	238	12	complex	complex	ADJ
ejpam-5549	238	13	networks	network	NOUN
ejpam-5549	238	14	,	,	PUNCT
ejpam-5549	238	15	enhancing	enhance	VERB
ejpam-5549	238	16	the	the	DET
ejpam-5549	238	17	potential	potential	NOUN
ejpam-5549	238	18	for	for	ADP
ejpam-5549	238	19	improved	improved	ADJ
ejpam-5549	238	20	coordination	coordination	NOUN
ejpam-5549	238	21	and	and	CCONJ
ejpam-5549	238	22	decisionmaking	decisionmake	VERB
ejpam-5549	238	23	among	among	ADP
ejpam-5549	238	24	agents	agent	NOUN
ejpam-5549	238	25	.	.	PUNCT
ejpam-5549	239	1	in	in	ADP
ejpam-5549	239	2	future	future	ADJ
ejpam-5549	239	3	work	work	NOUN
ejpam-5549	239	4	,	,	PUNCT
ejpam-5549	239	5	the	the	DET
ejpam-5549	239	6	proposed	propose	VERB
ejpam-5549	239	7	scheme	scheme	NOUN
ejpam-5549	239	8	will	will	AUX
ejpam-5549	239	9	be	be	AUX
ejpam-5549	239	10	taken	take	VERB
ejpam-5549	239	11	into	into	ADP
ejpam-5549	239	12	account	account	NOUN
ejpam-5549	239	13	for	for	ADP
ejpam-5549	239	14	time	time	NOUN
ejpam-5549	239	15	delay	delay	NOUN
ejpam-5549	239	16	with	with	ADP
ejpam-5549	239	17	disturbances	disturbance	NOUN
ejpam-5549	239	18	.	.	PUNCT
ejpam-5549	240	1	acknowledgements	acknowledgement	NOUN
ejpam-5549	240	2	we	we	PRON
ejpam-5549	240	3	are	be	AUX
ejpam-5549	240	4	thankful	thankful	ADJ
ejpam-5549	240	5	to	to	ADP
ejpam-5549	240	6	the	the	DET
ejpam-5549	240	7	editors	editor	NOUN
ejpam-5549	240	8	and	and	CCONJ
ejpam-5549	240	9	the	the	DET
ejpam-5549	240	10	anonymous	anonymous	ADJ
ejpam-5549	240	11	reviewers	reviewer	NOUN
ejpam-5549	240	12	for	for	ADP
ejpam-5549	240	13	many	many	ADJ
ejpam-5549	240	14	valuable	valuable	ADJ
ejpam-5549	240	15	suggestions	suggestion	NOUN
ejpam-5549	240	16	to	to	PART
ejpam-5549	240	17	improve	improve	VERB
ejpam-5549	240	18	this	this	DET
ejpam-5549	240	19	paper	paper	NOUN
ejpam-5549	240	20	.	.	PUNCT
ejpam-5549	241	1	funding	fund	VERB
ejpam-5549	241	2	this	this	DET
ejpam-5549	241	3	research	research	NOUN
ejpam-5549	241	4	was	be	AUX
ejpam-5549	241	5	supported	support	VERB
ejpam-5549	241	6	by	by	ADP
ejpam-5549	241	7	university	university	NOUN
ejpam-5549	241	8	of	of	ADP
ejpam-5549	241	9	phayao	phayao	NOUN
ejpam-5549	241	10	and	and	CCONJ
ejpam-5549	241	11	thailand	thailand	PROPN
ejpam-5549	241	12	science	science	PROPN
ejpam-5549	241	13	research	research	PROPN
ejpam-5549	241	14	and	and	CCONJ
ejpam-5549	241	15	innovation	innovation	NOUN
ejpam-5549	241	16	fund	fund	NOUN
ejpam-5549	241	17	(	(	PUNCT
ejpam-5549	241	18	fundamental	fundamental	ADJ
ejpam-5549	241	19	fund	fund	NOUN
ejpam-5549	241	20	2025	2025	NUM
ejpam-5549	241	21	,	,	PUNCT
ejpam-5549	241	22	grant	grant	VERB
ejpam-5549	241	23	no	no	NOUN
ejpam-5549	241	24	.	.	PUNCT
ejpam-5549	242	1	5020/2567	5020/2567	NUM
ejpam-5549	242	2	)	)	PUNCT
ejpam-5549	242	3	.	.	PUNCT
ejpam-5549	243	1	declaration	declaration	NOUN
ejpam-5549	243	2	of	of	ADP
ejpam-5549	243	3	competing	compete	VERB
ejpam-5549	243	4	interest	interest	NOUN
ejpam-5549	243	5	:	:	PUNCT
ejpam-5549	243	6	the	the	DET
ejpam-5549	243	7	author	author	NOUN
ejpam-5549	243	8	declares	declare	VERB
ejpam-5549	243	9	that	that	SCONJ
ejpam-5549	243	10	they	they	PRON
ejpam-5549	243	11	have	have	VERB
ejpam-5549	243	12	no	no	DET
ejpam-5549	243	13	known	know	VERB
ejpam-5549	243	14	competing	compete	VERB
ejpam-5549	243	15	financial	financial	ADJ
ejpam-5549	243	16	interests	interest	NOUN
ejpam-5549	243	17	or	or	CCONJ
ejpam-5549	243	18	personal	personal	ADJ
ejpam-5549	243	19	relationships	relationship	NOUN
ejpam-5549	243	20	that	that	PRON
ejpam-5549	243	21	could	could	AUX
ejpam-5549	243	22	have	have	AUX
ejpam-5549	243	23	appeared	appear	VERB
ejpam-5549	243	24	to	to	PART
ejpam-5549	243	25	influence	influence	VERB
ejpam-5549	243	26	the	the	DET
ejpam-5549	243	27	work	work	NOUN
ejpam-5549	243	28	reported	report	VERB
ejpam-5549	243	29	in	in	ADP
ejpam-5549	243	30	this	this	DET
ejpam-5549	243	31	paper	paper	NOUN
ejpam-5549	243	32	.	.	PUNCT
ejpam-5549	244	1	availability	availability	NOUN
ejpam-5549	244	2	of	of	ADP
ejpam-5549	244	3	data	datum	NOUN
ejpam-5549	244	4	and	and	CCONJ
ejpam-5549	244	5	materials	material	NOUN
ejpam-5549	244	6	:	:	PUNCT
ejpam-5549	244	7	not	not	PART
ejpam-5549	244	8	applicable	applicable	ADJ
ejpam-5549	244	9	.	.	PUNCT
ejpam-5549	245	1	author	author	NOUN
ejpam-5549	245	2	’s	’s	PART
ejpam-5549	245	3	contribution	contribution	NOUN
ejpam-5549	245	4	:	:	PUNCT
ejpam-5549	245	5	all	all	DET
ejpam-5549	245	6	authors	author	NOUN
ejpam-5549	245	7	contributed	contribute	VERB
ejpam-5549	245	8	equally	equally	ADV
ejpam-5549	245	9	to	to	ADP
ejpam-5549	245	10	the	the	DET
ejpam-5549	245	11	manuscript	manuscript	NOUN
ejpam-5549	245	12	and	and	CCONJ
ejpam-5549	245	13	typed	type	VERB
ejpam-5549	245	14	,	,	PUNCT
ejpam-5549	245	15	read	read	VERB
ejpam-5549	245	16	,	,	PUNCT
ejpam-5549	245	17	and	and	CCONJ
ejpam-5549	245	18	approved	approve	VERB
ejpam-5549	245	19	the	the	DET
ejpam-5549	245	20	final	final	ADJ
ejpam-5549	245	21	manuscript	manuscript	NOUN
ejpam-5549	245	22	.	.	PUNCT
ejpam-5549	246	1	references	reference	NOUN
ejpam-5549	246	2	[	[	X
ejpam-5549	246	3	1	1	X
ejpam-5549	246	4	]	]	PUNCT
ejpam-5549	246	5	s.	s.	PROPN
ejpam-5549	246	6	boyd	boyd	PROPN
ejpam-5549	246	7	,	,	PUNCT
ejpam-5549	246	8	a.	a.	PROPN
ejpam-5549	246	9	ghosh	ghosh	PROPN
ejpam-5549	246	10	,	,	PUNCT
ejpam-5549	246	11	b.	b.	PROPN
ejpam-5549	246	12	prabhakar	prabhakar	PROPN
ejpam-5549	246	13	,	,	PUNCT
ejpam-5549	246	14	and	and	CCONJ
ejpam-5549	246	15	d.	d.	PROPN
ejpam-5549	246	16	shah	shah	PROPN
ejpam-5549	246	17	.	.	PUNCT
ejpam-5549	247	1	randomized	randomize	VERB
ejpam-5549	247	2	gossip	gossip	NOUN
ejpam-5549	247	3	algorithms	algorithm	NOUN
ejpam-5549	247	4	.	.	PUNCT
ejpam-5549	248	1	ieee	ieee	NOUN
ejpam-5549	248	2	transactions	transaction	NOUN
ejpam-5549	248	3	on	on	ADP
ejpam-5549	248	4	information	information	NOUN
ejpam-5549	248	5	theory	theory	NOUN
ejpam-5549	248	6	,	,	PUNCT
ejpam-5549	248	7	52(6):2508–2530	52(6):2508–2530	NUM
ejpam-5549	248	8	,	,	PUNCT
ejpam-5549	248	9	2006	2006	NUM
ejpam-5549	248	10	.	.	PUNCT
ejpam-5549	249	1	[	[	X
ejpam-5549	249	2	2	2	X
ejpam-5549	249	3	]	]	X
ejpam-5549	249	4	g.	g.	PROPN
ejpam-5549	249	5	chris	chris	PROPN
ejpam-5549	249	6	and	and	CCONJ
ejpam-5549	249	7	r.	r.	PROPN
ejpam-5549	249	8	gordon	gordon	PROPN
ejpam-5549	249	9	.	.	PUNCT
ejpam-5549	250	1	algebraic	algebraic	ADJ
ejpam-5549	250	2	graph	graph	NOUN
ejpam-5549	250	3	theory	theory	NOUN
ejpam-5549	250	4	.	.	PUNCT
ejpam-5549	251	1	applied	apply	VERB
ejpam-5549	251	2	mathematical	mathematical	ADJ
ejpam-5549	251	3	modelling	modelling	NOUN
ejpam-5549	251	4	,	,	PUNCT
ejpam-5549	251	5	207	207	NUM
ejpam-5549	251	6	,	,	PUNCT
ejpam-5549	251	7	2001	2001	NUM
ejpam-5549	251	8	.	.	PUNCT
ejpam-5549	252	1	c.	c.	PROPN
ejpam-5549	252	2	park	park	PROPN
ejpam-5549	252	3	,	,	PUNCT
ejpam-5549	252	4	s.	s.	PROPN
ejpam-5549	252	5	donganont	donganont	PROPN
ejpam-5549	252	6	and	and	CCONJ
ejpam-5549	252	7	m.	m.	PROPN
ejpam-5549	252	8	donganont	donganont	PROPN
ejpam-5549	252	9	/	/	SYM
ejpam-5549	252	10	eur	eur	PROPN
ejpam-5549	252	11	.	.	PUNCT
ejpam-5549	253	1	j.	j.	PROPN
ejpam-5549	253	2	pure	pure	PROPN
ejpam-5549	253	3	appl	appl	PROPN
ejpam-5549	253	4	.	.	PROPN
ejpam-5549	253	5	math	math	PROPN
ejpam-5549	253	6	,	,	PUNCT
ejpam-5549	253	7	18	18	NUM
ejpam-5549	253	8	(	(	PUNCT
ejpam-5549	253	9	1	1	NUM
ejpam-5549	253	10	)	)	PUNCT
ejpam-5549	253	11	(	(	PUNCT
ejpam-5549	253	12	2025	2025	NUM
ejpam-5549	253	13	)	)	PUNCT
ejpam-5549	253	14	,	,	PUNCT
ejpam-5549	253	15	5549	5549	NUM
ejpam-5549	253	16	15	15	NUM
ejpam-5549	253	17	of	of	ADP
ejpam-5549	253	18	16	16	NUM
ejpam-5549	253	19	[	[	X
ejpam-5549	253	20	3	3	X
ejpam-5549	253	21	]	]	X
ejpam-5549	253	22	d.	d.	PROPN
ejpam-5549	253	23	cvetkovic	cvetkovic	PROPN
ejpam-5549	253	24	,	,	PUNCT
ejpam-5549	253	25	p.	p.	PROPN
ejpam-5549	253	26	rowlinson	rowlinson	PROPN
ejpam-5549	253	27	,	,	PUNCT
ejpam-5549	253	28	and	and	CCONJ
ejpam-5549	253	29	s.	s.	PROPN
ejpam-5549	253	30	simic	simic	PROPN
ejpam-5549	253	31	.	.	PUNCT
ejpam-5549	254	1	spectral	spectral	ADJ
ejpam-5549	254	2	generalizations	generalization	NOUN
ejpam-5549	254	3	of	of	ADP
ejpam-5549	254	4	line	line	NOUN
ejpam-5549	254	5	graphs	graph	NOUN
ejpam-5549	254	6	:	:	PUNCT
ejpam-5549	254	7	on	on	ADP
ejpam-5549	254	8	graphs	graph	NOUN
ejpam-5549	254	9	with	with	ADP
ejpam-5549	254	10	least	least	ADJ
ejpam-5549	254	11	eigenvalue	eigenvalue	ADJ
ejpam-5549	254	12	-2	-2	INTJ
ejpam-5549	254	13	.	.	PUNCT
ejpam-5549	255	1	london	london	PROPN
ejpam-5549	255	2	mathematical	mathematical	ADJ
ejpam-5549	255	3	society	society	NOUN
ejpam-5549	255	4	lecture	lecture	NOUN
ejpam-5549	255	5	note	note	NOUN
ejpam-5549	255	6	series	series	PROPN
ejpam-5549	255	7	.	.	PUNCT
ejpam-5549	256	1	cambridge	cambridge	PROPN
ejpam-5549	256	2	university	university	PROPN
ejpam-5549	256	3	press	press	NOUN
ejpam-5549	256	4	,	,	PUNCT
ejpam-5549	256	5	2004	2004	NUM
ejpam-5549	256	6	.	.	PUNCT
ejpam-5549	257	1	[	[	X
ejpam-5549	257	2	4	4	X
ejpam-5549	257	3	]	]	PUNCT
ejpam-5549	257	4	m.	m.	NOUN
ejpam-5549	257	5	donganont	donganont	PROPN
ejpam-5549	257	6	.	.	PUNCT
ejpam-5549	258	1	scaled	scale	VERB
ejpam-5549	258	2	consensus	consensus	NOUN
ejpam-5549	258	3	of	of	ADP
ejpam-5549	258	4	hybrid	hybrid	ADJ
ejpam-5549	258	5	multi	multi	ADJ
ejpam-5549	258	6	-	-	ADJ
ejpam-5549	258	7	agent	agent	ADJ
ejpam-5549	258	8	systems	system	NOUN
ejpam-5549	258	9	via	via	ADP
ejpam-5549	258	10	impulsive	impulsive	ADJ
ejpam-5549	258	11	protocols	protocol	NOUN
ejpam-5549	258	12	.	.	PUNCT
ejpam-5549	259	1	journal	journal	NOUN
ejpam-5549	259	2	of	of	ADP
ejpam-5549	259	3	mathematics	mathematic	NOUN
ejpam-5549	259	4	and	and	CCONJ
ejpam-5549	259	5	computer	computer	NOUN
ejpam-5549	259	6	science	science	NOUN
ejpam-5549	259	7	,	,	PUNCT
ejpam-5549	259	8	36(3):275–289	36(3):275–289	PROPN
ejpam-5549	259	9	,	,	PUNCT
ejpam-5549	259	10	2025	2025	NUM
ejpam-5549	259	11	.	.	PUNCT
ejpam-5549	260	1	[	[	X
ejpam-5549	260	2	5	5	X
ejpam-5549	260	3	]	]	PUNCT
ejpam-5549	260	4	f.	f.	PROPN
ejpam-5549	260	5	harry	harry	PROPN
ejpam-5549	260	6	and	and	CCONJ
ejpam-5549	260	7	r.	r.	PROPN
ejpam-5549	260	8	norman	norman	PROPN
ejpam-5549	260	9	.	.	PUNCT
ejpam-5549	261	1	some	some	DET
ejpam-5549	261	2	properties	property	NOUN
ejpam-5549	261	3	of	of	ADP
ejpam-5549	261	4	line	line	NOUN
ejpam-5549	261	5	graph	graph	NOUN
ejpam-5549	261	6	.	.	PUNCT
ejpam-5549	262	1	rendiconti	rendiconti	PROPN
ejpam-5549	262	2	del	del	PROPN
ejpam-5549	262	3	circolo	circolo	PROPN
ejpam-5549	262	4	matematico	matematico	NOUN
ejpam-5549	262	5	di	di	NOUN
ejpam-5549	262	6	palermo	palermo	NOUN
ejpam-5549	262	7	,	,	PUNCT
ejpam-5549	262	8	9(2):161–168	9(2):161–168	NOUN
ejpam-5549	262	9	,	,	PUNCT
ejpam-5549	262	10	1960	1960	NUM
ejpam-5549	262	11	.	.	PUNCT
ejpam-5549	263	1	[	[	X
ejpam-5549	263	2	6	6	NUM
ejpam-5549	263	3	]	]	PUNCT
ejpam-5549	263	4	z.	z.	PROPN
ejpam-5549	263	5	hong	hong	PROPN
ejpam-5549	263	6	,	,	PUNCT
ejpam-5549	263	7	f.	f.	PROPN
ejpam-5549	263	8	chen	chen	PROPN
ejpam-5549	263	9	,	,	PUNCT
ejpam-5549	263	10	l.	l.	PROPN
ejpam-5549	263	11	xiang	xiang	PROPN
ejpam-5549	263	12	,	,	PUNCT
ejpam-5549	263	13	and	and	CCONJ
ejpam-5549	263	14	w.	w.	PROPN
ejpam-5549	263	15	lan	lan	PROPN
ejpam-5549	263	16	.	.	PUNCT
ejpam-5549	264	1	a	a	DET
ejpam-5549	264	2	study	study	NOUN
ejpam-5549	264	3	on	on	ADP
ejpam-5549	264	4	the	the	DET
ejpam-5549	264	5	relationship	relationship	NOUN
ejpam-5549	264	6	between	between	ADP
ejpam-5549	264	7	consensus	consensus	NOUN
ejpam-5549	264	8	of	of	ADP
ejpam-5549	264	9	edge	edge	NOUN
ejpam-5549	264	10	dynamics	dynamic	NOUN
ejpam-5549	264	11	and	and	CCONJ
ejpam-5549	264	12	node	node	NOUN
ejpam-5549	264	13	dynamics	dynamic	NOUN
ejpam-5549	264	14	.	.	PUNCT
ejpam-5549	265	1	in	in	ADP
ejpam-5549	265	2	youth	youth	NOUN
ejpam-5549	265	3	academic	academic	ADJ
ejpam-5549	265	4	annual	annual	ADJ
ejpam-5549	265	5	conference	conference	NOUN
ejpam-5549	265	6	of	of	ADP
ejpam-5549	265	7	chinese	chinese	PROPN
ejpam-5549	265	8	association	association	PROPN
ejpam-5549	265	9	of	of	ADP
ejpam-5549	265	10	automation	automation	NOUN
ejpam-5549	265	11	(	(	PUNCT
ejpam-5549	265	12	yac	yac	NOUN
ejpam-5549	265	13	)	)	PUNCT
ejpam-5549	265	14	,	,	PUNCT
ejpam-5549	265	15	pages	page	NOUN
ejpam-5549	265	16	1183–1187	1183–1187	NUM
ejpam-5549	265	17	,	,	PUNCT
ejpam-5549	265	18	2017	2017	NUM
ejpam-5549	265	19	.	.	PUNCT
ejpam-5549	266	1	[	[	X
ejpam-5549	266	2	7	7	X
ejpam-5549	266	3	]	]	X
ejpam-5549	266	4	r.	r.	PROPN
ejpam-5549	266	5	a.	a.	NOUN
ejpam-5549	266	6	horn	horn	PROPN
ejpam-5549	266	7	and	and	CCONJ
ejpam-5549	266	8	c.	c.	PROPN
ejpam-5549	266	9	r.	r.	PROPN
ejpam-5549	266	10	johnson	johnson	PROPN
ejpam-5549	266	11	.	.	PUNCT
ejpam-5549	266	12	matrix	matrix	NOUN
ejpam-5549	266	13	analysis	analysis	NOUN
ejpam-5549	266	14	.	.	PUNCT
ejpam-5549	267	1	cambridge	cambridge	PROPN
ejpam-5549	267	2	university	university	PROPN
ejpam-5549	267	3	press	press	PROPN
ejpam-5549	267	4	,	,	PUNCT
ejpam-5549	267	5	new	new	PROPN
ejpam-5549	267	6	york	york	PROPN
ejpam-5549	267	7	,	,	PUNCT
ejpam-5549	267	8	ny	ny	PROPN
ejpam-5549	267	9	,	,	PUNCT
ejpam-5549	267	10	usa	usa	PROPN
ejpam-5549	267	11	,	,	PUNCT
ejpam-5549	267	12	2	2	NUM
ejpam-5549	267	13	edition	edition	NOUN
ejpam-5549	267	14	,	,	PUNCT
ejpam-5549	267	15	2012	2012	NUM
ejpam-5549	267	16	.	.	PUNCT
ejpam-5549	268	1	[	[	X
ejpam-5549	268	2	8	8	NUM
ejpam-5549	268	3	]	]	X
ejpam-5549	268	4	w.	w.	PROPN
ejpam-5549	268	5	jia	jia	PROPN
ejpam-5549	268	6	,	,	PUNCT
ejpam-5549	268	7	y.	y.	PROPN
ejpam-5549	268	8	zhao	zhao	PROPN
ejpam-5549	268	9	,	,	PUNCT
ejpam-5549	268	10	j.	j.	PROPN
ejpam-5549	268	11	feng	feng	PROPN
ejpam-5549	268	12	,	,	PUNCT
ejpam-5549	268	13	and	and	CCONJ
ejpam-5549	268	14	j.	j.	PROPN
ejpam-5549	268	15	wang	wang	PROPN
ejpam-5549	268	16	.	.	PUNCT
ejpam-5549	269	1	nonnegative	nonnegative	PROPN
ejpam-5549	269	2	edge	edge	NOUN
ejpam-5549	269	3	consensus	consensus	NOUN
ejpam-5549	269	4	of	of	ADP
ejpam-5549	269	5	complex	complex	ADJ
ejpam-5549	269	6	networks	network	NOUN
ejpam-5549	269	7	with	with	ADP
ejpam-5549	269	8	time	time	NOUN
ejpam-5549	269	9	delays	delay	NOUN
ejpam-5549	269	10	.	.	PUNCT
ejpam-5549	270	1	in	in	ADP
ejpam-5549	270	2	chinese	chinese	ADJ
ejpam-5549	270	3	control	control	NOUN
ejpam-5549	270	4	and	and	CCONJ
ejpam-5549	270	5	decision	decision	NOUN
ejpam-5549	270	6	conference	conference	NOUN
ejpam-5549	270	7	(	(	PUNCT
ejpam-5549	270	8	ccdc	ccdc	PROPN
ejpam-5549	270	9	)	)	PUNCT
ejpam-5549	270	10	,	,	PUNCT
ejpam-5549	270	11	pages	page	NOUN
ejpam-5549	270	12	1479–1483	1479–1483	NUM
ejpam-5549	270	13	,	,	PUNCT
ejpam-5549	270	14	2017	2017	NUM
ejpam-5549	270	15	.	.	PUNCT
ejpam-5549	271	1	[	[	X
ejpam-5549	271	2	9	9	NUM
ejpam-5549	271	3	]	]	PUNCT
ejpam-5549	271	4	p.	p.	NOUN
ejpam-5549	271	5	lin	lin	PROPN
ejpam-5549	271	6	and	and	CCONJ
ejpam-5549	271	7	y.	y.	PROPN
ejpam-5549	271	8	jia	jia	PROPN
ejpam-5549	271	9	.	.	PUNCT
ejpam-5549	272	1	consensus	consensus	NOUN
ejpam-5549	272	2	of	of	ADP
ejpam-5549	272	3	second	second	ADJ
ejpam-5549	272	4	-	-	PUNCT
ejpam-5549	272	5	order	order	NOUN
ejpam-5549	272	6	discrete	discrete	ADJ
ejpam-5549	272	7	-	-	PUNCT
ejpam-5549	272	8	time	time	NOUN
ejpam-5549	272	9	multi	multi	ADJ
ejpam-5549	272	10	-	-	ADJ
ejpam-5549	272	11	agent	agent	ADJ
ejpam-5549	272	12	systems	system	NOUN
ejpam-5549	272	13	with	with	ADP
ejpam-5549	272	14	nonuniform	nonuniform	ADJ
ejpam-5549	272	15	time	time	NOUN
ejpam-5549	272	16	-	-	PUNCT
ejpam-5549	272	17	delays	delay	NOUN
ejpam-5549	272	18	and	and	CCONJ
ejpam-5549	272	19	dynamically	dynamically	ADV
ejpam-5549	272	20	changing	change	VERB
ejpam-5549	272	21	topologies	topology	NOUN
ejpam-5549	272	22	.	.	PUNCT
ejpam-5549	273	1	automatica	automatica	PROPN
ejpam-5549	273	2	,	,	PUNCT
ejpam-5549	273	3	45(9):2154–2158	45(9):2154–2158	NOUN
ejpam-5549	273	4	,	,	PUNCT
ejpam-5549	273	5	2009	2009	NUM
ejpam-5549	273	6	.	.	PUNCT
ejpam-5549	274	1	[	[	X
ejpam-5549	274	2	10	10	NUM
ejpam-5549	274	3	]	]	X
ejpam-5549	274	4	r.	r.	PROPN
ejpam-5549	274	5	olfati	olfati	PROPN
ejpam-5549	274	6	-	-	PUNCT
ejpam-5549	274	7	saber	saber	NOUN
ejpam-5549	274	8	.	.	PUNCT
ejpam-5549	275	1	flocking	flock	VERB
ejpam-5549	275	2	for	for	ADP
ejpam-5549	275	3	multi	multi	ADJ
ejpam-5549	275	4	-	-	ADJ
ejpam-5549	275	5	agent	agent	ADJ
ejpam-5549	275	6	dynamic	dynamic	ADJ
ejpam-5549	275	7	systems	system	NOUN
ejpam-5549	275	8	:	:	PUNCT
ejpam-5549	275	9	algorithms	algorithm	NOUN
ejpam-5549	275	10	and	and	CCONJ
ejpam-5549	275	11	theory	theory	NOUN
ejpam-5549	275	12	.	.	PUNCT
ejpam-5549	276	1	ieee	ieee	NOUN
ejpam-5549	276	2	transactions	transaction	NOUN
ejpam-5549	276	3	on	on	ADP
ejpam-5549	276	4	automatic	automatic	ADJ
ejpam-5549	276	5	control	control	NOUN
ejpam-5549	276	6	,	,	PUNCT
ejpam-5549	276	7	51(3):401–420	51(3):401–420	PROPN
ejpam-5549	276	8	,	,	PUNCT
ejpam-5549	276	9	2006	2006	NUM
ejpam-5549	276	10	.	.	PUNCT
ejpam-5549	277	1	[	[	X
ejpam-5549	277	2	11	11	NUM
ejpam-5549	277	3	]	]	X
ejpam-5549	277	4	r.	r.	PROPN
ejpam-5549	277	5	olfati	olfati	PROPN
ejpam-5549	277	6	-	-	PUNCT
ejpam-5549	277	7	saber	saber	NOUN
ejpam-5549	277	8	and	and	CCONJ
ejpam-5549	277	9	r.	r.	PROPN
ejpam-5549	277	10	m.	m.	PROPN
ejpam-5549	277	11	murray	murray	PROPN
ejpam-5549	277	12	.	.	PUNCT
ejpam-5549	278	1	consensus	consensus	NOUN
ejpam-5549	278	2	problems	problem	NOUN
ejpam-5549	278	3	in	in	ADP
ejpam-5549	278	4	networks	network	NOUN
ejpam-5549	278	5	of	of	ADP
ejpam-5549	278	6	agents	agent	NOUN
ejpam-5549	278	7	with	with	ADP
ejpam-5549	278	8	switching	switch	VERB
ejpam-5549	278	9	topology	topology	NOUN
ejpam-5549	278	10	and	and	CCONJ
ejpam-5549	278	11	time	time	NOUN
ejpam-5549	278	12	-	-	PUNCT
ejpam-5549	278	13	delays	delay	NOUN
ejpam-5549	278	14	.	.	PUNCT
ejpam-5549	279	1	ieee	ieee	NOUN
ejpam-5549	279	2	transactions	transaction	NOUN
ejpam-5549	279	3	on	on	ADP
ejpam-5549	279	4	automatic	automatic	ADJ
ejpam-5549	279	5	control	control	NOUN
ejpam-5549	279	6	,	,	PUNCT
ejpam-5549	279	7	49(9):1520–1533	49(9):1520–1533	NUM
ejpam-5549	279	8	,	,	PUNCT
ejpam-5549	279	9	2004	2004	NUM
ejpam-5549	279	10	.	.	PUNCT
ejpam-5549	280	1	[	[	X
ejpam-5549	280	2	12	12	NUM
ejpam-5549	280	3	]	]	X
ejpam-5549	280	4	y.	y.	PROPN
ejpam-5549	280	5	qian	qian	PROPN
ejpam-5549	280	6	,	,	PUNCT
ejpam-5549	280	7	w.	w.	PROPN
ejpam-5549	280	8	zhang	zhang	PROPN
ejpam-5549	280	9	,	,	PUNCT
ejpam-5549	280	10	m.	m.	PROPN
ejpam-5549	280	11	ji	ji	PROPN
ejpam-5549	280	12	,	,	PUNCT
ejpam-5549	280	13	and	and	CCONJ
ejpam-5549	280	14	c.	c.	PROPN
ejpam-5549	280	15	yan	yan	PROPN
ejpam-5549	280	16	.	.	PUNCT
ejpam-5549	280	17	observer	observer	NOUN
ejpam-5549	280	18	-	-	PUNCT
ejpam-5549	280	19	based	base	VERB
ejpam-5549	280	20	positive	positive	ADJ
ejpam-5549	280	21	edge	edge	NOUN
ejpam-5549	280	22	consensus	consensus	NOUN
ejpam-5549	280	23	for	for	ADP
ejpam-5549	280	24	undirected	undirected	ADJ
ejpam-5549	280	25	nodal	nodal	NOUN
ejpam-5549	280	26	networks	network	NOUN
ejpam-5549	280	27	.	.	PUNCT
ejpam-5549	281	1	in	in	ADP
ejpam-5549	281	2	chinese	chinese	PROPN
ejpam-5549	281	3	control	control	PROPN
ejpam-5549	281	4	conference	conference	PROPN
ejpam-5549	281	5	(	(	PUNCT
ejpam-5549	281	6	ccc	ccc	PROPN
ejpam-5549	281	7	)	)	PUNCT
ejpam-5549	281	8	,	,	PUNCT
ejpam-5549	281	9	pages	page	NOUN
ejpam-5549	281	10	6218–6223	6218–6223	NUM
ejpam-5549	281	11	,	,	PUNCT
ejpam-5549	281	12	2019	2019	NUM
ejpam-5549	281	13	.	.	PUNCT
ejpam-5549	282	1	[	[	X
ejpam-5549	282	2	13	13	NUM
ejpam-5549	282	3	]	]	X
ejpam-5549	282	4	w.	w.	PROPN
ejpam-5549	282	5	ren	ren	PROPN
ejpam-5549	282	6	.	.	PUNCT
ejpam-5549	283	1	on	on	ADP
ejpam-5549	283	2	consensus	consensus	NOUN
ejpam-5549	283	3	algorithms	algorithm	NOUN
ejpam-5549	283	4	for	for	ADP
ejpam-5549	283	5	double	double	ADJ
ejpam-5549	283	6	-	-	PUNCT
ejpam-5549	283	7	integrator	integrator	NOUN
ejpam-5549	283	8	dynamics	dynamic	NOUN
ejpam-5549	283	9	.	.	PUNCT
ejpam-5549	284	1	ieee	ieee	NOUN
ejpam-5549	284	2	transactions	transaction	NOUN
ejpam-5549	284	3	on	on	ADP
ejpam-5549	284	4	automatic	automatic	ADJ
ejpam-5549	284	5	control	control	NOUN
ejpam-5549	284	6	,	,	PUNCT
ejpam-5549	284	7	53(6):1503–1509	53(6):1503–1509	NUM
ejpam-5549	284	8	,	,	PUNCT
ejpam-5549	284	9	2008	2008	NUM
ejpam-5549	284	10	.	.	PUNCT
ejpam-5549	285	1	[	[	X
ejpam-5549	285	2	14	14	NUM
ejpam-5549	285	3	]	]	X
ejpam-5549	285	4	w.	w.	PROPN
ejpam-5549	285	5	ren	ren	PROPN
ejpam-5549	285	6	and	and	CCONJ
ejpam-5549	285	7	r.	r.	PROPN
ejpam-5549	285	8	w.	w.	PROPN
ejpam-5549	285	9	beard	beard	PROPN
ejpam-5549	285	10	.	.	PUNCT
ejpam-5549	286	1	consensus	consensus	NOUN
ejpam-5549	286	2	seeking	seek	VERB
ejpam-5549	286	3	in	in	ADP
ejpam-5549	286	4	multiagent	multiagent	NOUN
ejpam-5549	286	5	systems	system	NOUN
ejpam-5549	286	6	under	under	ADP
ejpam-5549	286	7	dynamically	dynamically	ADV
ejpam-5549	286	8	changing	change	VERB
ejpam-5549	286	9	interaction	interaction	NOUN
ejpam-5549	286	10	topologies	topology	NOUN
ejpam-5549	286	11	.	.	PUNCT
ejpam-5549	287	1	ieee	ieee	NOUN
ejpam-5549	287	2	transactions	transaction	NOUN
ejpam-5549	287	3	on	on	ADP
ejpam-5549	287	4	automatic	automatic	ADJ
ejpam-5549	287	5	control	control	NOUN
ejpam-5549	287	6	,	,	PUNCT
ejpam-5549	287	7	50(5):655	50(5):655	PROPN
ejpam-5549	287	8	–	–	PUNCT
ejpam-5549	287	9	661	661	NUM
ejpam-5549	287	10	,	,	PUNCT
ejpam-5549	287	11	2005	2005	NUM
ejpam-5549	287	12	.	.	PUNCT
ejpam-5549	288	1	[	[	X
ejpam-5549	288	2	15	15	NUM
ejpam-5549	288	3	]	]	X
ejpam-5549	288	4	k.	k.	NOUN
ejpam-5549	288	5	sugihara	sugihara	PROPN
ejpam-5549	288	6	and	and	CCONJ
ejpam-5549	288	7	i.	i.	PROPN
ejpam-5549	288	8	suzuki	suzuki	PROPN
ejpam-5549	288	9	.	.	PUNCT
ejpam-5549	289	1	distributed	distribute	VERB
ejpam-5549	289	2	motion	motion	NOUN
ejpam-5549	289	3	coordination	coordination	NOUN
ejpam-5549	289	4	of	of	ADP
ejpam-5549	289	5	multiple	multiple	ADJ
ejpam-5549	289	6	mobile	mobile	ADJ
ejpam-5549	289	7	robots	robot	NOUN
ejpam-5549	289	8	.	.	PUNCT
ejpam-5549	290	1	in	in	ADP
ejpam-5549	290	2	proc	proc	NOUN
ejpam-5549	290	3	.	.	PUNCT
ejpam-5549	291	1	5th	5th	ADJ
ejpam-5549	291	2	ieee	ieee	NOUN
ejpam-5549	291	3	international	international	ADJ
ejpam-5549	291	4	symposium	symposium	NOUN
ejpam-5549	291	5	on	on	ADP
ejpam-5549	291	6	intelligent	intelligent	ADJ
ejpam-5549	291	7	control	control	NOUN
ejpam-5549	291	8	,	,	PUNCT
ejpam-5549	291	9	volume	volume	NOUN
ejpam-5549	291	10	1	1	NUM
ejpam-5549	291	11	,	,	PUNCT
ejpam-5549	291	12	pages	page	NOUN
ejpam-5549	291	13	138–143	138–143	NUM
ejpam-5549	291	14	,	,	PUNCT
ejpam-5549	291	15	1990	1990	NUM
ejpam-5549	291	16	.	.	PUNCT
ejpam-5549	292	1	[	[	X
ejpam-5549	292	2	16	16	NUM
ejpam-5549	292	3	]	]	X
ejpam-5549	292	4	l.	l.	PROPN
ejpam-5549	292	5	wang	wang	PROPN
ejpam-5549	292	6	and	and	CCONJ
ejpam-5549	292	7	f.	f.	PROPN
ejpam-5549	292	8	xiao	xiao	PROPN
ejpam-5549	292	9	.	.	PUNCT
ejpam-5549	293	1	a	a	DET
ejpam-5549	293	2	new	new	ADJ
ejpam-5549	293	3	approach	approach	NOUN
ejpam-5549	293	4	to	to	ADP
ejpam-5549	293	5	consensus	consensus	NOUN
ejpam-5549	293	6	problems	problem	NOUN
ejpam-5549	293	7	in	in	ADP
ejpam-5549	293	8	discrete	discrete	ADJ
ejpam-5549	293	9	-	-	PUNCT
ejpam-5549	293	10	time	time	NOUN
ejpam-5549	293	11	multiagent	multiagent	NOUN
ejpam-5549	293	12	systems	system	NOUN
ejpam-5549	293	13	with	with	ADP
ejpam-5549	293	14	time	time	NOUN
ejpam-5549	293	15	-	-	PUNCT
ejpam-5549	293	16	delays	delay	NOUN
ejpam-5549	293	17	.	.	PUNCT
ejpam-5549	294	1	science	science	NOUN
ejpam-5549	294	2	in	in	ADP
ejpam-5549	294	3	china	china	PROPN
ejpam-5549	294	4	series	series	PROPN
ejpam-5549	294	5	f	f	PROPN
ejpam-5549	294	6	:	:	PUNCT
ejpam-5549	294	7	information	information	NOUN
ejpam-5549	294	8	sciences	science	NOUN
ejpam-5549	294	9	,	,	PUNCT
ejpam-5549	294	10	50:625–635	50:625–635	PROPN
ejpam-5549	294	11	,	,	PUNCT
ejpam-5549	294	12	2007	2007	NUM
ejpam-5549	294	13	.	.	PUNCT
ejpam-5549	295	1	[	[	X
ejpam-5549	295	2	17	17	NUM
ejpam-5549	295	3	]	]	PUNCT
ejpam-5549	295	4	x.	x.	NOUN
ejpam-5549	295	5	wang	wang	PROPN
ejpam-5549	295	6	,	,	PUNCT
ejpam-5549	295	7	h.	h.	PROPN
ejpam-5549	295	8	su	su	PROPN
ejpam-5549	295	9	,	,	PUNCT
ejpam-5549	295	10	x.	x.	PROPN
ejpam-5549	295	11	wang	wang	PROPN
ejpam-5549	295	12	,	,	PUNCT
ejpam-5549	295	13	and	and	CCONJ
ejpam-5549	295	14	g.	g.	PROPN
ejpam-5549	295	15	chen	chen	PROPN
ejpam-5549	295	16	.	.	PUNCT
ejpam-5549	296	1	nonnegative	nonnegative	PROPN
ejpam-5549	296	2	edge	edge	NOUN
ejpam-5549	296	3	consensus	consensus	NOUN
ejpam-5549	296	4	of	of	ADP
ejpam-5549	296	5	networked	networked	ADJ
ejpam-5549	296	6	linear	linear	NOUN
ejpam-5549	296	7	systems	system	NOUN
ejpam-5549	296	8	.	.	PUNCT
ejpam-5549	297	1	in	in	ADP
ejpam-5549	297	2	chinese	chinese	PROPN
ejpam-5549	297	3	control	control	PROPN
ejpam-5549	297	4	conference	conference	PROPN
ejpam-5549	297	5	(	(	PUNCT
ejpam-5549	297	6	ccc	ccc	PROPN
ejpam-5549	297	7	)	)	PUNCT
ejpam-5549	297	8	,	,	PUNCT
ejpam-5549	297	9	pages	page	NOUN
ejpam-5549	297	10	8184–8189	8184–8189	NUM
ejpam-5549	297	11	,	,	PUNCT
ejpam-5549	297	12	2016	2016	NUM
ejpam-5549	297	13	.	.	PUNCT
ejpam-5549	298	1	[	[	X
ejpam-5549	298	2	18	18	NUM
ejpam-5549	298	3	]	]	PUNCT
ejpam-5549	298	4	x.	x.	NOUN
ejpam-5549	298	5	wang	wang	PROPN
ejpam-5549	298	6	and	and	CCONJ
ejpam-5549	298	7	x.	x.	PROPN
ejpam-5549	298	8	wang	wang	PROPN
ejpam-5549	298	9	.	.	PUNCT
ejpam-5549	299	1	consensus	consensus	NOUN
ejpam-5549	299	2	of	of	ADP
ejpam-5549	299	3	edge	edge	NOUN
ejpam-5549	299	4	dynamics	dynamic	NOUN
ejpam-5549	299	5	on	on	ADP
ejpam-5549	299	6	complex	complex	ADJ
ejpam-5549	299	7	networks	network	NOUN
ejpam-5549	299	8	.	.	PUNCT
ejpam-5549	300	1	in	in	ADP
ejpam-5549	300	2	ieee	ieee	PROPN
ejpam-5549	300	3	international	international	ADJ
ejpam-5549	300	4	symposium	symposium	NOUN
ejpam-5549	300	5	on	on	ADP
ejpam-5549	300	6	circuits	circuit	NOUN
ejpam-5549	300	7	and	and	CCONJ
ejpam-5549	300	8	systems	system	NOUN
ejpam-5549	300	9	(	(	PUNCT
ejpam-5549	300	10	iscas	iscas	PROPN
ejpam-5549	300	11	)	)	PUNCT
ejpam-5549	300	12	,	,	PUNCT
ejpam-5549	300	13	pages	page	NOUN
ejpam-5549	300	14	1271–1274	1271–1274	NUM
ejpam-5549	300	15	,	,	PUNCT
ejpam-5549	300	16	2014	2014	NUM
ejpam-5549	300	17	.	.	PUNCT
ejpam-5549	301	1	[	[	X
ejpam-5549	301	2	19	19	NUM
ejpam-5549	301	3	]	]	PUNCT
ejpam-5549	301	4	x.	x.	NOUN
ejpam-5549	301	5	wang	wang	PROPN
ejpam-5549	301	6	,	,	PUNCT
ejpam-5549	301	7	x.	x.	PROPN
ejpam-5549	301	8	wang	wang	PROPN
ejpam-5549	301	9	,	,	PUNCT
ejpam-5549	301	10	and	and	CCONJ
ejpam-5549	301	11	h.	h.	PROPN
ejpam-5549	301	12	su	su	PROPN
ejpam-5549	301	13	.	.	PROPN
ejpam-5549	302	1	consensus	consensus	NOUN
ejpam-5549	302	2	of	of	ADP
ejpam-5549	302	3	edge	edge	NOUN
ejpam-5549	302	4	dynamics	dynamic	NOUN
ejpam-5549	302	5	on	on	ADP
ejpam-5549	302	6	directed	direct	VERB
ejpam-5549	302	7	multi	multi	ADJ
ejpam-5549	302	8	-	-	ADJ
ejpam-5549	302	9	agent	agent	ADJ
ejpam-5549	302	10	systems	system	NOUN
ejpam-5549	302	11	.	.	PUNCT
ejpam-5549	303	1	in	in	ADP
ejpam-5549	303	2	proceedings	proceeding	NOUN
ejpam-5549	303	3	of	of	ADP
ejpam-5549	303	4	the	the	DET
ejpam-5549	303	5	33rd	33rd	ADJ
ejpam-5549	303	6	chinese	chinese	PROPN
ejpam-5549	303	7	control	control	PROPN
ejpam-5549	303	8	conference	conference	PROPN
ejpam-5549	303	9	,	,	PUNCT
ejpam-5549	303	10	pages	page	NOUN
ejpam-5549	303	11	1372–1376	1372–1376	NUM
ejpam-5549	303	12	,	,	PUNCT
ejpam-5549	303	13	c.	c.	PROPN
ejpam-5549	303	14	park	park	PROPN
ejpam-5549	303	15	,	,	PUNCT
ejpam-5549	303	16	s.	s.	PROPN
ejpam-5549	303	17	donganont	donganont	PROPN
ejpam-5549	303	18	and	and	CCONJ
ejpam-5549	303	19	m.	m.	PROPN
ejpam-5549	303	20	donganont	donganont	PROPN
ejpam-5549	303	21	/	/	SYM
ejpam-5549	303	22	eur	eur	PROPN
ejpam-5549	303	23	.	.	PUNCT
ejpam-5549	304	1	j.	j.	PROPN
ejpam-5549	304	2	pure	pure	PROPN
ejpam-5549	304	3	appl	appl	PROPN
ejpam-5549	304	4	.	.	PROPN
ejpam-5549	304	5	math	math	PROPN
ejpam-5549	304	6	,	,	PUNCT
ejpam-5549	304	7	18	18	NUM
ejpam-5549	304	8	(	(	PUNCT
ejpam-5549	304	9	1	1	NUM
ejpam-5549	304	10	)	)	PUNCT
ejpam-5549	304	11	(	(	PUNCT
ejpam-5549	304	12	2025	2025	NUM
ejpam-5549	304	13	)	)	PUNCT
ejpam-5549	304	14	,	,	PUNCT
ejpam-5549	304	15	5549	5549	NUM
ejpam-5549	304	16	16	16	NUM
ejpam-5549	304	17	of	of	ADP
ejpam-5549	304	18	16	16	NUM
ejpam-5549	304	19	2014	2014	NUM
ejpam-5549	304	20	.	.	PUNCT
ejpam-5549	305	1	[	[	X
ejpam-5549	305	2	20	20	NUM
ejpam-5549	305	3	]	]	PUNCT
ejpam-5549	305	4	x.	x.	PROPN
ejpam-5549	305	5	l.	l.	PROPN
ejpam-5549	305	6	wang	wang	PROPN
ejpam-5549	305	7	,	,	PUNCT
ejpam-5549	305	8	h.	h.	PROPN
ejpam-5549	305	9	su	su	PROPN
ejpam-5549	305	10	,	,	PUNCT
ejpam-5549	305	11	m.	m.	PROPN
ejpam-5549	305	12	z.	z.	PROPN
ejpam-5549	305	13	q.	q.	PROPN
ejpam-5549	305	14	chen	chen	PROPN
ejpam-5549	305	15	,	,	PUNCT
ejpam-5549	305	16	x.	x.	PROPN
ejpam-5549	305	17	f.	f.	PROPN
ejpam-5549	305	18	wang	wang	PROPN
ejpam-5549	305	19	,	,	PUNCT
ejpam-5549	305	20	and	and	CCONJ
ejpam-5549	305	21	g.	g.	PROPN
ejpam-5549	305	22	chen	chen	PROPN
ejpam-5549	305	23	.	.	PUNCT
ejpam-5549	306	1	reaching	reach	VERB
ejpam-5549	306	2	non	non	ADJ
ejpam-5549	306	3	-	-	ADJ
ejpam-5549	306	4	negative	negative	ADJ
ejpam-5549	306	5	edge	edge	NOUN
ejpam-5549	306	6	consensus	consensus	NOUN
ejpam-5549	306	7	of	of	ADP
ejpam-5549	306	8	networked	networked	ADJ
ejpam-5549	306	9	dynamical	dynamical	ADJ
ejpam-5549	306	10	systems	system	NOUN
ejpam-5549	306	11	.	.	PUNCT
ejpam-5549	307	1	ieee	ieee	NOUN
ejpam-5549	307	2	transactions	transaction	NOUN
ejpam-5549	307	3	on	on	ADP
ejpam-5549	307	4	cybernetics	cybernetic	NOUN
ejpam-5549	307	5	,	,	PUNCT
ejpam-5549	307	6	48(9):2712–2722	48(9):2712–2722	NUM
ejpam-5549	307	7	,	,	PUNCT
ejpam-5549	307	8	2018	2018	NUM
ejpam-5549	307	9	.	.	PUNCT
ejpam-5549	308	1	[	[	X
ejpam-5549	308	2	21	21	NUM
ejpam-5549	308	3	]	]	PUNCT
ejpam-5549	308	4	x.	x.	PROPN
ejpam-5549	308	5	xie	xie	PROPN
ejpam-5549	308	6	,	,	PUNCT
ejpam-5549	308	7	x.	x.	PROPN
ejpam-5549	308	8	li	li	PROPN
ejpam-5549	308	9	,	,	PUNCT
ejpam-5549	308	10	and	and	CCONJ
ejpam-5549	308	11	x.	x.	PROPN
ejpam-5549	308	12	liu	liu	PROPN
ejpam-5549	308	13	.	.	PUNCT
ejpam-5549	309	1	event	event	NOUN
ejpam-5549	309	2	-	-	PUNCT
ejpam-5549	309	3	triggered	trigger	VERB
ejpam-5549	309	4	impulsive	impulsive	ADJ
ejpam-5549	309	5	control	control	NOUN
ejpam-5549	309	6	for	for	ADP
ejpam-5549	309	7	multi	multi	ADJ
ejpam-5549	309	8	-	-	ADJ
ejpam-5549	309	9	agent	agent	ADJ
ejpam-5549	309	10	systems	system	NOUN
ejpam-5549	309	11	with	with	ADP
ejpam-5549	309	12	actuation	actuation	NOUN
ejpam-5549	309	13	delay	delay	NOUN
ejpam-5549	309	14	and	and	CCONJ
ejpam-5549	309	15	continuous	continuous	ADJ
ejpam-5549	309	16	/	/	SYM
ejpam-5549	309	17	periodic	periodic	ADJ
ejpam-5549	309	18	sampling	sampling	NOUN
ejpam-5549	309	19	.	.	PUNCT
ejpam-5549	310	1	chaos	chaos	NOUN
ejpam-5549	310	2	,	,	PUNCT
ejpam-5549	310	3	solitons	soliton	NOUN
ejpam-5549	310	4	&	&	CCONJ
ejpam-5549	310	5	fractals	fractal	NOUN
ejpam-5549	310	6	,	,	PUNCT
ejpam-5549	310	7	175:114067	175:114067	NUM
ejpam-5549	310	8	,	,	PUNCT
ejpam-5549	310	9	2023	2023	NUM
ejpam-5549	310	10	.	.	PUNCT
ejpam-5549	311	1	[	[	X
ejpam-5549	311	2	22	22	NUM
ejpam-5549	311	3	]	]	PUNCT
ejpam-5549	311	4	x.	x.	PROPN
ejpam-5549	311	5	xie	xie	PROPN
ejpam-5549	311	6	,	,	PUNCT
ejpam-5549	311	7	t.	t.	PROPN
ejpam-5549	311	8	wei	wei	PROPN
ejpam-5549	311	9	,	,	PUNCT
ejpam-5549	311	10	and	and	CCONJ
ejpam-5549	311	11	x.	x.	PROPN
ejpam-5549	311	12	li	li	PROPN
ejpam-5549	311	13	.	.	PROPN
ejpam-5549	311	14	hybrid	hybrid	ADJ
ejpam-5549	311	15	event	event	NOUN
ejpam-5549	311	16	-	-	PUNCT
ejpam-5549	311	17	triggered	trigger	VERB
ejpam-5549	311	18	approach	approach	NOUN
ejpam-5549	311	19	for	for	ADP
ejpam-5549	311	20	quasi	quasi	NOUN
ejpam-5549	311	21	-	-	NOUN
ejpam-5549	311	22	consensus	consensus	NOUN
ejpam-5549	311	23	of	of	ADP
ejpam-5549	311	24	uncertain	uncertain	ADJ
ejpam-5549	311	25	multi	multi	ADJ
ejpam-5549	311	26	-	-	ADJ
ejpam-5549	311	27	agent	agent	ADJ
ejpam-5549	311	28	systems	system	NOUN
ejpam-5549	311	29	with	with	ADP
ejpam-5549	311	30	impulsive	impulsive	ADJ
ejpam-5549	311	31	protocols	protocol	NOUN
ejpam-5549	311	32	.	.	PUNCT
ejpam-5549	312	1	ieee	ieee	NOUN
ejpam-5549	312	2	transactions	transaction	NOUN
ejpam-5549	312	3	on	on	ADP
ejpam-5549	312	4	circuits	circuit	NOUN
ejpam-5549	312	5	and	and	CCONJ
ejpam-5549	312	6	systems	system	NOUN
ejpam-5549	312	7	i	i	PRON
ejpam-5549	312	8	:	:	PUNCT
ejpam-5549	312	9	regular	regular	ADJ
ejpam-5549	312	10	papers	paper	NOUN
ejpam-5549	312	11	,	,	PUNCT
ejpam-5549	312	12	69(2):872–883	69(2):872–883	PROPN
ejpam-5549	312	13	,	,	PUNCT
ejpam-5549	312	14	2022	2022	NUM
ejpam-5549	312	15	.	.	PUNCT
ejpam-5549	313	1	[	[	X
ejpam-5549	313	2	23	23	NUM
ejpam-5549	313	3	]	]	X
ejpam-5549	313	4	y.	y.	PROPN
ejpam-5549	313	5	zheng	zheng	PROPN
ejpam-5549	313	6	,	,	PUNCT
ejpam-5549	313	7	j.	j.	PROPN
ejpam-5549	313	8	ma	ma	PROPN
ejpam-5549	313	9	,	,	PUNCT
ejpam-5549	313	10	and	and	CCONJ
ejpam-5549	313	11	l.	l.	PROPN
ejpam-5549	313	12	wang	wang	PROPN
ejpam-5549	313	13	.	.	PUNCT
ejpam-5549	314	1	consensus	consensus	NOUN
ejpam-5549	314	2	of	of	ADP
ejpam-5549	314	3	hybrid	hybrid	ADJ
ejpam-5549	314	4	multi	multi	ADJ
ejpam-5549	314	5	-	-	ADJ
ejpam-5549	314	6	agent	agent	ADJ
ejpam-5549	314	7	systems	system	NOUN
ejpam-5549	314	8	.	.	PUNCT
ejpam-5549	315	1	ieee	ieee	NOUN
ejpam-5549	315	2	transactions	transaction	NOUN
ejpam-5549	315	3	on	on	ADP
ejpam-5549	315	4	neural	neural	ADJ
ejpam-5549	315	5	networks	network	NOUN
ejpam-5549	315	6	and	and	CCONJ
ejpam-5549	315	7	learning	learning	NOUN
ejpam-5549	315	8	systems	system	NOUN
ejpam-5549	315	9	,	,	PUNCT
ejpam-5549	315	10	29(4):1359–1365	29(4):1359–1365	NUM
ejpam-5549	315	11	,	,	PUNCT
ejpam-5549	315	12	2018	2018	NUM
ejpam-5549	315	13	.	.	PUNCT