id	sid	tid	token	lemma	pos
ijassa-1186	1	1	adv	adv	PROPN
ijassa-1186	1	2	syst	syst	PROPN
ijassa-1186	1	3	sci	sci	PROPN
ijassa-1186	1	4	appl	appl	PROPN
ijassa-1186	1	5	2022	2022	NUM
ijassa-1186	1	6	;	;	PUNCT
ijassa-1186	1	7	02:21–33	02:21–33	NUM
ijassa-1186	1	8	published	publish	VERB
ijassa-1186	1	9	online	online	ADV
ijassa-1186	1	10	at	at	ADP
ijassa-1186	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADJ
ijassa-1186	1	12	.	.	PUNCT
ijassa-1186	2	1	information	information	NOUN
ijassa-1186	2	2	spreading	spread	VERB
ijassa-1186	2	3	and	and	CCONJ
ijassa-1186	2	4	evolution	evolution	NOUN
ijassa-1186	2	5	of	of	ADP
ijassa-1186	2	6	non	non	ADJ
ijassa-1186	2	7	-	-	ADJ
ijassa-1186	2	8	homogeneous	homogeneous	ADJ
ijassa-1186	2	9	networks	network	NOUN
ijassa-1186	2	10	natalia	natalia	PROPN
ijassa-1186	2	11	m.	m.	PROPN
ijassa-1186	2	12	markovich1	markovich1	PROPN
ijassa-1186	2	13	*	*	PROPN
ijassa-1186	2	14	,	,	PUNCT
ijassa-1186	2	15	maksim	maksim	PROPN
ijassa-1186	2	16	s.	s.	PROPN
ijassa-1186	2	17	ryzhov1	ryzhov1	PROPN
ijassa-1186	2	18	1v.a	1v.a	NUM
ijassa-1186	2	19	.	.	PUNCT
ijassa-1186	2	20	trapeznikov	trapeznikov	PROPN
ijassa-1186	2	21	institute	institute	PROPN
ijassa-1186	2	22	of	of	ADP
ijassa-1186	2	23	control	control	PROPN
ijassa-1186	2	24	sciences	sciences	PROPN
ijassa-1186	2	25	,	,	PUNCT
ijassa-1186	2	26	russian	russian	ADJ
ijassa-1186	2	27	academy	academy	PROPN
ijassa-1186	2	28	of	of	ADP
ijassa-1186	2	29	sciences	sciences	PROPN
ijassa-1186	2	30	,	,	PUNCT
ijassa-1186	2	31	moscow	moscow	PROPN
ijassa-1186	2	32	,	,	PUNCT
ijassa-1186	2	33	russia	russia	PROPN
ijassa-1186	2	34	abstract	abstract	NOUN
ijassa-1186	2	35	:	:	PUNCT
ijassa-1186	2	36	information	information	NOUN
ijassa-1186	2	37	spreading	spread	VERB
ijassa-1186	2	38	among	among	ADP
ijassa-1186	2	39	nodes	node	NOUN
ijassa-1186	2	40	of	of	ADP
ijassa-1186	2	41	directed	direct	VERB
ijassa-1186	2	42	random	random	ADJ
ijassa-1186	2	43	networks	network	NOUN
ijassa-1186	2	44	by	by	ADP
ijassa-1186	2	45	means	mean	NOUN
ijassa-1186	2	46	of	of	ADP
ijassa-1186	2	47	the	the	DET
ijassa-1186	2	48	linear	linear	ADJ
ijassa-1186	2	49	preferential	preferential	ADJ
ijassa-1186	2	50	attachment	attachment	NOUN
ijassa-1186	2	51	(	(	PUNCT
ijassa-1186	2	52	pa	pa	NOUN
ijassa-1186	2	53	)	)	PUNCT
ijassa-1186	2	54	schemes	scheme	NOUN
ijassa-1186	2	55	and	and	CCONJ
ijassa-1186	2	56	the	the	DET
ijassa-1186	2	57	well	well	ADV
ijassa-1186	2	58	-	-	PUNCT
ijassa-1186	2	59	known	know	VERB
ijassa-1186	2	60	spread	spread	NOUN
ijassa-1186	2	61	algorithm	algorithm	NOUN
ijassa-1186	2	62	is	be	AUX
ijassa-1186	2	63	considered	consider	VERB
ijassa-1186	2	64	.	.	PUNCT
ijassa-1186	3	1	the	the	DET
ijassa-1186	3	2	novelty	novelty	NOUN
ijassa-1186	3	3	of	of	ADP
ijassa-1186	3	4	the	the	DET
ijassa-1186	3	5	paper	paper	NOUN
ijassa-1186	3	6	is	be	AUX
ijassa-1186	3	7	that	that	SCONJ
ijassa-1186	3	8	schemes	scheme	NOUN
ijassa-1186	3	9	of	of	ADP
ijassa-1186	3	10	the	the	DET
ijassa-1186	3	11	linear	linear	ADJ
ijassa-1186	3	12	preferential	preferential	ADJ
ijassa-1186	3	13	attachment	attachment	NOUN
ijassa-1186	3	14	proposed	propose	VERB
ijassa-1186	3	15	in	in	ADP
ijassa-1186	3	16	wan	wan	PROPN
ijassa-1186	3	17	et	et	PROPN
ijassa-1186	3	18	al	al	PROPN
ijassa-1186	3	19	.	.	PROPN
ijassa-1186	3	20	(	(	PUNCT
ijassa-1186	3	21	2020	2020	NUM
ijassa-1186	3	22	)	)	PUNCT
ijassa-1186	3	23	for	for	ADP
ijassa-1186	3	24	the	the	DET
ijassa-1186	3	25	network	network	NOUN
ijassa-1186	3	26	evolution	evolution	NOUN
ijassa-1186	3	27	are	be	AUX
ijassa-1186	3	28	also	also	ADV
ijassa-1186	3	29	used	use	VERB
ijassa-1186	3	30	here	here	ADV
ijassa-1186	3	31	for	for	ADP
ijassa-1186	3	32	the	the	DET
ijassa-1186	3	33	information	information	NOUN
ijassa-1186	3	34	spreading	spread	VERB
ijassa-1186	3	35	.	.	PUNCT
ijassa-1186	4	1	the	the	DET
ijassa-1186	4	2	spread	spread	ADJ
ijassa-1186	4	3	algorithm	algorithm	NOUN
ijassa-1186	4	4	proposed	propose	VERB
ijassa-1186	4	5	for	for	ADP
ijassa-1186	4	6	undirected	undirected	ADJ
ijassa-1186	4	7	random	random	ADJ
ijassa-1186	4	8	graphs	graph	NOUN
ijassa-1186	4	9	is	be	AUX
ijassa-1186	4	10	adapted	adapt	VERB
ijassa-1186	4	11	to	to	ADP
ijassa-1186	4	12	directed	direct	VERB
ijassa-1186	4	13	graphs	graph	NOUN
ijassa-1186	4	14	.	.	PUNCT
ijassa-1186	5	1	moreover	moreover	ADV
ijassa-1186	5	2	,	,	PUNCT
ijassa-1186	5	3	we	we	PRON
ijassa-1186	5	4	deal	deal	VERB
ijassa-1186	5	5	with	with	ADP
ijassa-1186	5	6	non	non	ADJ
ijassa-1186	5	7	-	-	ADJ
ijassa-1186	5	8	homogeneous	homogeneous	ADJ
ijassa-1186	5	9	directed	direct	VERB
ijassa-1186	5	10	networks	network	NOUN
ijassa-1186	5	11	consisting	consist	VERB
ijassa-1186	5	12	of	of	ADP
ijassa-1186	5	13	nodes	node	NOUN
ijassa-1186	5	14	whose	whose	DET
ijassa-1186	5	15	inand	inand	ADJ
ijassa-1186	5	16	out	out	ADJ
ijassa-1186	5	17	-	-	PUNCT
ijassa-1186	5	18	degrees	degree	NOUN
ijassa-1186	5	19	have	have	VERB
ijassa-1186	5	20	different	different	ADJ
ijassa-1186	5	21	power	power	NOUN
ijassa-1186	5	22	law	law	NOUN
ijassa-1186	5	23	distributions	distribution	NOUN
ijassa-1186	5	24	that	that	PRON
ijassa-1186	5	25	is	be	AUX
ijassa-1186	5	26	realistic	realistic	ADJ
ijassa-1186	5	27	for	for	ADP
ijassa-1186	5	28	practice	practice	NOUN
ijassa-1186	5	29	and	and	CCONJ
ijassa-1186	5	30	we	we	PRON
ijassa-1186	5	31	find	find	VERB
ijassa-1186	5	32	communities	community	NOUN
ijassa-1186	5	33	in	in	ADP
ijassa-1186	5	34	a	a	DET
ijassa-1186	5	35	network	network	NOUN
ijassa-1186	5	36	that	that	PRON
ijassa-1186	5	37	spread	spread	VERB
ijassa-1186	5	38	the	the	DET
ijassa-1186	5	39	information	information	NOUN
ijassa-1186	5	40	faster	fast	ADV
ijassa-1186	5	41	.	.	PUNCT
ijassa-1186	6	1	we	we	PRON
ijassa-1186	6	2	compare	compare	VERB
ijassa-1186	6	3	the	the	DET
ijassa-1186	6	4	minimum	minimum	ADJ
ijassa-1186	6	5	number	number	NOUN
ijassa-1186	6	6	of	of	ADP
ijassa-1186	6	7	evolution	evolution	NOUN
ijassa-1186	6	8	steps	step	NOUN
ijassa-1186	6	9	k∗	k∗	PROPN
ijassa-1186	6	10	required	require	VERB
ijassa-1186	6	11	for	for	ADP
ijassa-1186	6	12	the	the	DET
ijassa-1186	6	13	preferential	preferential	ADJ
ijassa-1186	6	14	attachment	attachment	NOUN
ijassa-1186	6	15	schemes	scheme	NOUN
ijassa-1186	6	16	and	and	CCONJ
ijassa-1186	6	17	the	the	DET
ijassa-1186	6	18	well	well	ADV
ijassa-1186	6	19	-	-	PUNCT
ijassa-1186	6	20	known	know	VERB
ijassa-1186	6	21	algorithm	algorithm	NOUN
ijassa-1186	6	22	spread	spread	VERB
ijassa-1186	6	23	to	to	PART
ijassa-1186	6	24	spread	spread	VERB
ijassa-1186	6	25	a	a	DET
ijassa-1186	6	26	message	message	NOUN
ijassa-1186	6	27	among	among	ADP
ijassa-1186	6	28	a	a	DET
ijassa-1186	6	29	fixed	fix	VERB
ijassa-1186	6	30	number	number	NOUN
ijassa-1186	6	31	of	of	ADP
ijassa-1186	6	32	nodes	node	NOUN
ijassa-1186	6	33	.	.	PUNCT
ijassa-1186	7	1	the	the	DET
ijassa-1186	7	2	evolution	evolution	NOUN
ijassa-1186	7	3	of	of	ADP
ijassa-1186	7	4	the	the	DET
ijassa-1186	7	5	network	network	NOUN
ijassa-1186	7	6	in	in	ADP
ijassa-1186	7	7	time	time	NOUN
ijassa-1186	7	8	starts	start	VERB
ijassa-1186	7	9	from	from	ADP
ijassa-1186	7	10	a	a	DET
ijassa-1186	7	11	seed	seed	NOUN
ijassa-1186	7	12	set	set	NOUN
ijassa-1186	7	13	of	of	ADP
ijassa-1186	7	14	nodes	node	NOUN
ijassa-1186	7	15	.	.	PUNCT
ijassa-1186	8	1	we	we	PRON
ijassa-1186	8	2	study	study	VERB
ijassa-1186	8	3	the	the	DET
ijassa-1186	8	4	impact	impact	NOUN
ijassa-1186	8	5	of	of	ADP
ijassa-1186	8	6	the	the	DET
ijassa-1186	8	7	seed	seed	NOUN
ijassa-1186	8	8	network	network	NOUN
ijassa-1186	8	9	and	and	CCONJ
ijassa-1186	8	10	parameters	parameter	NOUN
ijassa-1186	8	11	of	of	ADP
ijassa-1186	8	12	the	the	DET
ijassa-1186	8	13	preferential	preferential	ADJ
ijassa-1186	8	14	attachment	attachment	NOUN
ijassa-1186	8	15	on	on	ADP
ijassa-1186	8	16	k∗	k∗	NOUN
ijassa-1186	8	17	for	for	ADP
ijassa-1186	8	18	simulated	simulated	ADJ
ijassa-1186	8	19	graphs	graph	NOUN
ijassa-1186	8	20	.	.	PUNCT
ijassa-1186	9	1	real	real	ADJ
ijassa-1186	9	2	temporal	temporal	ADJ
ijassa-1186	9	3	graphs	graph	NOUN
ijassa-1186	9	4	are	be	AUX
ijassa-1186	9	5	also	also	ADV
ijassa-1186	9	6	investigated	investigate	VERB
ijassa-1186	9	7	in	in	ADP
ijassa-1186	9	8	the	the	DET
ijassa-1186	9	9	same	same	ADJ
ijassa-1186	9	10	way	way	NOUN
ijassa-1186	9	11	.	.	PUNCT
ijassa-1186	10	1	the	the	DET
ijassa-1186	10	2	pa	pa	PROPN
ijassa-1186	10	3	may	may	AUX
ijassa-1186	10	4	be	be	AUX
ijassa-1186	10	5	a	a	DET
ijassa-1186	10	6	better	well	ADJ
ijassa-1186	10	7	spreader	spreader	NOUN
ijassa-1186	10	8	than	than	ADP
ijassa-1186	10	9	the	the	DET
ijassa-1186	10	10	spread	spread	ADJ
ijassa-1186	10	11	algorithm	algorithm	NOUN
ijassa-1186	10	12	.	.	PUNCT
ijassa-1186	11	1	this	this	PRON
ijassa-1186	11	2	is	be	AUX
ijassa-1186	11	3	valid	valid	ADJ
ijassa-1186	11	4	for	for	ADP
ijassa-1186	11	5	the	the	DET
ijassa-1186	11	6	sets	set	NOUN
ijassa-1186	11	7	of	of	ADP
ijassa-1186	11	8	the	the	DET
ijassa-1186	11	9	pa	pa	PROPN
ijassa-1186	11	10	parameters	parameter	NOUN
ijassa-1186	11	11	with	with	ADP
ijassa-1186	11	12	dominating	dominating	NOUN
ijassa-1186	11	13	proportions	proportion	NOUN
ijassa-1186	11	14	of	of	ADP
ijassa-1186	11	15	created	create	VERB
ijassa-1186	11	16	new	new	ADJ
ijassa-1186	11	17	edges	edge	NOUN
ijassa-1186	11	18	from	from	ADP
ijassa-1186	11	19	existing	exist	VERB
ijassa-1186	11	20	nodes	node	NOUN
ijassa-1186	11	21	to	to	ADP
ijassa-1186	11	22	newly	newly	ADV
ijassa-1186	11	23	appending	append	VERB
ijassa-1186	11	24	ones	one	NOUN
ijassa-1186	11	25	or	or	CCONJ
ijassa-1186	11	26	between	between	ADP
ijassa-1186	11	27	the	the	DET
ijassa-1186	11	28	existing	exist	VERB
ijassa-1186	11	29	nodes	node	NOUN
ijassa-1186	11	30	only	only	ADV
ijassa-1186	11	31	.	.	PUNCT
ijassa-1186	12	1	it	it	PRON
ijassa-1186	12	2	is	be	AUX
ijassa-1186	12	3	shown	show	VERB
ijassa-1186	12	4	both	both	PRON
ijassa-1186	12	5	for	for	ADP
ijassa-1186	12	6	simulated	simulated	ADJ
ijassa-1186	12	7	and	and	CCONJ
ijassa-1186	12	8	real	real	ADJ
ijassa-1186	12	9	graphs	graph	NOUN
ijassa-1186	12	10	that	that	SCONJ
ijassa-1186	12	11	the	the	DET
ijassa-1186	12	12	communities	community	NOUN
ijassa-1186	12	13	with	with	ADP
ijassa-1186	12	14	the	the	DET
ijassa-1186	12	15	smallest	small	ADJ
ijassa-1186	12	16	tail	tail	NOUN
ijassa-1186	12	17	indices	index	NOUN
ijassa-1186	12	18	of	of	ADP
ijassa-1186	12	19	the	the	DET
ijassa-1186	12	20	out	out	ADJ
ijassa-1186	12	21	-	-	PUNCT
ijassa-1186	12	22	degrees	degree	NOUN
ijassa-1186	12	23	and	and	CCONJ
ijassa-1186	12	24	pageranks	pagerank	NOUN
ijassa-1186	12	25	may	may	AUX
ijassa-1186	12	26	spread	spread	VERB
ijassa-1186	12	27	the	the	DET
ijassa-1186	12	28	message	message	NOUN
ijassa-1186	12	29	faster	fast	ADV
ijassa-1186	12	30	than	than	ADP
ijassa-1186	12	31	other	other	ADJ
ijassa-1186	12	32	communities	community	NOUN
ijassa-1186	12	33	.	.	PUNCT
ijassa-1186	13	1	keywords	keyword	NOUN
ijassa-1186	13	2	:	:	PUNCT
ijassa-1186	13	3	non	non	ADJ
ijassa-1186	13	4	-	-	ADJ
ijassa-1186	13	5	homogeneous	homogeneous	ADJ
ijassa-1186	13	6	directed	direct	VERB
ijassa-1186	13	7	network	network	NOUN
ijassa-1186	13	8	,	,	PUNCT
ijassa-1186	13	9	information	information	NOUN
ijassa-1186	13	10	spreading	spread	VERB
ijassa-1186	13	11	time	time	NOUN
ijassa-1186	13	12	,	,	PUNCT
ijassa-1186	13	13	linear	linear	ADJ
ijassa-1186	13	14	preferential	preferential	ADJ
ijassa-1186	13	15	attachment	attachment	NOUN
ijassa-1186	13	16	,	,	PUNCT
ijassa-1186	13	17	leading	lead	VERB
ijassa-1186	13	18	community	community	NOUN
ijassa-1186	13	19	,	,	PUNCT
ijassa-1186	13	20	tail	tail	NOUN
ijassa-1186	13	21	index	index	NOUN
ijassa-1186	13	22	1	1	NUM
ijassa-1186	13	23	.	.	PUNCT
ijassa-1186	13	24	introduction	introduction	NOUN
ijassa-1186	13	25	the	the	DET
ijassa-1186	13	26	evolution	evolution	NOUN
ijassa-1186	13	27	of	of	ADP
ijassa-1186	13	28	networks	network	NOUN
ijassa-1186	13	29	is	be	AUX
ijassa-1186	13	30	arising	arise	VERB
ijassa-1186	13	31	in	in	ADP
ijassa-1186	13	32	numerous	numerous	ADJ
ijassa-1186	13	33	applications	application	NOUN
ijassa-1186	13	34	:	:	PUNCT
ijassa-1186	13	35	citation	citation	NOUN
ijassa-1186	13	36	networks	network	NOUN
ijassa-1186	14	1	[	[	X
ijassa-1186	14	2	1	1	NUM
ijassa-1186	14	3	]	]	PUNCT
ijassa-1186	14	4	,	,	PUNCT
ijassa-1186	14	5	the	the	DET
ijassa-1186	14	6	web	web	NOUN
ijassa-1186	14	7	-	-	NOUN
ijassa-1186	14	8	page	page	NOUN
ijassa-1186	14	9	popularity	popularity	NOUN
ijassa-1186	14	10	by	by	ADP
ijassa-1186	14	11	pagerank	pagerank	NOUN
ijassa-1186	14	12	during	during	ADP
ijassa-1186	14	13	evolutionary	evolutionary	ADJ
ijassa-1186	14	14	changes	change	NOUN
ijassa-1186	14	15	[	[	X
ijassa-1186	14	16	2	2	NUM
ijassa-1186	14	17	]	]	PUNCT
ijassa-1186	14	18	,	,	PUNCT
ijassa-1186	14	19	or	or	CCONJ
ijassa-1186	14	20	the	the	DET
ijassa-1186	14	21	evolution	evolution	NOUN
ijassa-1186	14	22	of	of	ADP
ijassa-1186	14	23	the	the	DET
ijassa-1186	14	24	network	network	NOUN
ijassa-1186	14	25	[	[	X
ijassa-1186	14	26	3	3	NUM
ijassa-1186	14	27	]	]	PUNCT
ijassa-1186	14	28	.	.	PUNCT
ijassa-1186	15	1	information	information	NOUN
ijassa-1186	15	2	spreading	spread	VERB
ijassa-1186	15	3	,	,	PUNCT
ijassa-1186	15	4	as	as	ADP
ijassa-1186	15	5	a	a	DET
ijassa-1186	15	6	message	message	NOUN
ijassa-1186	15	7	delivery	delivery	NOUN
ijassa-1186	15	8	model	model	NOUN
ijassa-1186	15	9	in	in	ADP
ijassa-1186	15	10	the	the	DET
ijassa-1186	15	11	whole	whole	ADJ
ijassa-1186	15	12	network	network	NOUN
ijassa-1186	15	13	(	(	PUNCT
ijassa-1186	15	14	the	the	DET
ijassa-1186	15	15	full	full	ADJ
ijassa-1186	15	16	spreading	spreading	NOUN
ijassa-1186	15	17	)	)	PUNCT
ijassa-1186	16	1	[	[	X
ijassa-1186	16	2	4	4	X
ijassa-1186	16	3	]	]	PUNCT
ijassa-1186	16	4	or	or	CCONJ
ijassa-1186	16	5	in	in	ADP
ijassa-1186	16	6	a	a	DET
ijassa-1186	16	7	part	part	NOUN
ijassa-1186	16	8	of	of	ADP
ijassa-1186	16	9	the	the	DET
ijassa-1186	16	10	network	network	NOUN
ijassa-1186	16	11	(	(	PUNCT
ijassa-1186	16	12	the	the	DET
ijassa-1186	16	13	partial	partial	ADJ
ijassa-1186	16	14	spreading	spreading	NOUN
ijassa-1186	16	15	)	)	PUNCT
ijassa-1186	17	1	[	[	X
ijassa-1186	17	2	5	5	NUM
ijassa-1186	17	3	]	]	PUNCT
ijassa-1186	17	4	,	,	PUNCT
ijassa-1186	17	5	has	have	VERB
ijassa-1186	17	6	an	an	DET
ijassa-1186	17	7	application	application	NOUN
ijassa-1186	17	8	for	for	ADP
ijassa-1186	17	9	the	the	DET
ijassa-1186	17	10	parallel	parallel	ADJ
ijassa-1186	17	11	grid	grid	NOUN
ijassa-1186	17	12	calculations	calculation	NOUN
ijassa-1186	17	13	in	in	ADP
ijassa-1186	17	14	the	the	DET
ijassa-1186	17	15	computation	computation	NOUN
ijassa-1186	17	16	network	network	NOUN
ijassa-1186	17	17	.	.	PUNCT
ijassa-1186	18	1	in	in	ADP
ijassa-1186	18	2	[	[	X
ijassa-1186	18	3	6	6	NUM
ijassa-1186	18	4	]	]	PUNCT
ijassa-1186	18	5	the	the	DET
ijassa-1186	18	6	selection	selection	NOUN
ijassa-1186	18	7	of	of	ADP
ijassa-1186	18	8	a	a	DET
ijassa-1186	18	9	leading	lead	VERB
ijassa-1186	18	10	community	community	NOUN
ijassa-1186	18	11	in	in	ADP
ijassa-1186	18	12	a	a	DET
ijassa-1186	18	13	network	network	NOUN
ijassa-1186	18	14	and	and	CCONJ
ijassa-1186	18	15	the	the	DET
ijassa-1186	18	16	comparison	comparison	NOUN
ijassa-1186	18	17	of	of	ADP
ijassa-1186	18	18	the	the	DET
ijassa-1186	18	19	spreading	spread	VERB
ijassa-1186	18	20	time	time	NOUN
ijassa-1186	18	21	by	by	ADP
ijassa-1186	18	22	the	the	DET
ijassa-1186	18	23	latter	latter	ADJ
ijassa-1186	18	24	and	and	CCONJ
ijassa-1186	18	25	other	other	ADJ
ijassa-1186	18	26	communities	community	NOUN
ijassa-1186	18	27	are	be	AUX
ijassa-1186	18	28	observed	observe	VERB
ijassa-1186	18	29	by	by	ADP
ijassa-1186	18	30	an	an	DET
ijassa-1186	18	31	example	example	NOUN
ijassa-1186	18	32	of	of	ADP
ijassa-1186	18	33	homogeneous	homogeneous	ADJ
ijassa-1186	18	34	geometric	geometric	ADJ
ijassa-1186	18	35	graphs	graph	NOUN
ijassa-1186	18	36	.	.	PUNCT
ijassa-1186	19	1	following	follow	VERB
ijassa-1186	19	2	[	[	X
ijassa-1186	19	3	4	4	X
ijassa-1186	19	4	]	]	PUNCT
ijassa-1186	19	5	we	we	PRON
ijassa-1186	19	6	consider	consider	VERB
ijassa-1186	19	7	nodes	node	NOUN
ijassa-1186	19	8	with	with	ADP
ijassa-1186	19	9	asynchronous	asynchronous	ADJ
ijassa-1186	19	10	clocks	clock	NOUN
ijassa-1186	19	11	.	.	PUNCT
ijassa-1186	20	1	by	by	ADP
ijassa-1186	20	2	the	the	DET
ijassa-1186	20	3	proposed	propose	VERB
ijassa-1186	20	4	model	model	NOUN
ijassa-1186	20	5	nodes	node	NOUN
ijassa-1186	20	6	of	of	ADP
ijassa-1186	20	7	the	the	DET
ijassa-1186	20	8	network	network	NOUN
ijassa-1186	20	9	may	may	AUX
ijassa-1186	20	10	spread	spread	VERB
ijassa-1186	20	11	their	their	PRON
ijassa-1186	20	12	messages	message	NOUN
ijassa-1186	20	13	among	among	ADP
ijassa-1186	20	14	other	other	ADJ
ijassa-1186	20	15	nodes	node	NOUN
ijassa-1186	20	16	by	by	ADP
ijassa-1186	20	17	clicks	click	NOUN
ijassa-1186	20	18	of	of	ADP
ijassa-1186	20	19	a	a	DET
ijassa-1186	20	20	global	global	ADJ
ijassa-1186	20	21	clock	clock	NOUN
ijassa-1186	20	22	.	.	PUNCT
ijassa-1186	21	1	the	the	DET
ijassa-1186	21	2	latter	latter	ADJ
ijassa-1186	21	3	clicks	click	NOUN
ijassa-1186	21	4	are	be	AUX
ijassa-1186	21	5	modelled	model	VERB
ijassa-1186	21	6	as	as	SCONJ
ijassa-1186	21	7	poisson	poisson	NOUN
ijassa-1186	21	8	process	process	NOUN
ijassa-1186	21	9	and	and	CCONJ
ijassa-1186	21	10	the	the	DET
ijassa-1186	21	11	inter	inter	ADJ
ijassa-1186	21	12	-	-	NOUN
ijassa-1186	21	13	arrival	arrival	ADJ
ijassa-1186	21	14	times	time	NOUN
ijassa-1186	21	15	between	between	ADP
ijassa-1186	21	16	clicks	click	NOUN
ijassa-1186	21	17	are	be	AUX
ijassa-1186	21	18	therefore	therefore	ADV
ijassa-1186	21	19	exponentially	exponentially	ADV
ijassa-1186	21	20	distributed	distribute	VERB
ijassa-1186	21	21	.	.	PUNCT
ijassa-1186	22	1	thus	thus	ADV
ijassa-1186	22	2	,	,	PUNCT
ijassa-1186	22	3	the	the	DET
ijassa-1186	22	4	spreading	spread	VERB
ijassa-1186	22	5	time	time	NOUN
ijassa-1186	22	6	required	require	VERB
ijassa-1186	22	7	to	to	PART
ijassa-1186	22	8	spread	spread	VERB
ijassa-1186	22	9	messages	message	NOUN
ijassa-1186	22	10	may	may	AUX
ijassa-1186	22	11	be	be	AUX
ijassa-1186	22	12	calculated	calculate	VERB
ijassa-1186	22	13	as	as	ADP
ijassa-1186	22	14	a	a	DET
ijassa-1186	22	15	sum	sum	NOUN
ijassa-1186	22	16	of	of	ADP
ijassa-1186	22	17	a	a	DET
ijassa-1186	22	18	random	random	ADJ
ijassa-1186	22	19	number	number	NOUN
ijassa-1186	22	20	of	of	ADP
ijassa-1186	22	21	exponentially	exponentially	ADV
ijassa-1186	22	22	distributed	distribute	VERB
ijassa-1186	22	23	random	random	ADJ
ijassa-1186	22	24	variables	variable	NOUN
ijassa-1186	22	25	.	.	PUNCT
ijassa-1186	23	1	generally	generally	ADV
ijassa-1186	23	2	,	,	PUNCT
ijassa-1186	23	3	the	the	DET
ijassa-1186	23	4	clicks	click	NOUN
ijassa-1186	23	5	can	can	AUX
ijassa-1186	23	6	be	be	AUX
ijassa-1186	23	7	generated	generate	VERB
ijassa-1186	23	8	by	by	ADP
ijassa-1186	23	9	another	another	DET
ijassa-1186	23	10	random	random	ADJ
ijassa-1186	23	11	process	process	NOUN
ijassa-1186	23	12	with	with	ADP
ijassa-1186	23	13	another	another	DET
ijassa-1186	23	14	distribution	distribution	NOUN
ijassa-1186	23	15	of	of	ADP
ijassa-1186	23	16	the	the	DET
ijassa-1186	23	17	inter	inter	ADJ
ijassa-1186	23	18	-	-	ADJ
ijassa-1186	23	19	click	click	ADJ
ijassa-1186	23	20	times	time	NOUN
ijassa-1186	23	21	.	.	PUNCT
ijassa-1186	24	1	in	in	ADP
ijassa-1186	24	2	this	this	DET
ijassa-1186	24	3	paper	paper	NOUN
ijassa-1186	24	4	we	we	PRON
ijassa-1186	24	5	use	use	VERB
ijassa-1186	24	6	the	the	DET
ijassa-1186	24	7	poisson	poisson	NOUN
ijassa-1186	24	8	model	model	NOUN
ijassa-1186	24	9	and	and	CCONJ
ijassa-1186	24	10	interpret	interpret	VERB
ijassa-1186	24	11	the	the	DET
ijassa-1186	24	12	spreading	spread	VERB
ijassa-1186	24	13	∗corresponding	∗corresponding	NOUN
ijassa-1186	24	14	author	author	NOUN
ijassa-1186	24	15	:	:	PUNCT
ijassa-1186	24	16	nat.markovich@gmail.com	nat.markovich@gmail.com	PROPN
ijassa-1186	24	17	,	,	PUNCT
ijassa-1186	24	18	markovic@ipu.rssi.ru	markovic@ipu.rssi.ru	PROPN
ijassa-1186	24	19	22	22	NUM
ijassa-1186	24	20	n.	n.	NOUN
ijassa-1186	24	21	m.	m.	NOUN
ijassa-1186	24	22	markovich	markovich	PROPN
ijassa-1186	24	23	,	,	PUNCT
ijassa-1186	24	24	m.	m.	NOUN
ijassa-1186	24	25	s.	s.	PROPN
ijassa-1186	24	26	ryzhov	ryzhov	PROPN
ijassa-1186	24	27	rate	rate	NOUN
ijassa-1186	24	28	in	in	ADP
ijassa-1186	24	29	terms	term	NOUN
ijassa-1186	24	30	of	of	ADP
ijassa-1186	24	31	a	a	DET
ijassa-1186	24	32	minimum	minimum	ADJ
ijassa-1186	24	33	number	number	NOUN
ijassa-1186	24	34	of	of	ADP
ijassa-1186	24	35	clicks	click	NOUN
ijassa-1186	24	36	(	(	PUNCT
ijassa-1186	24	37	or	or	CCONJ
ijassa-1186	24	38	steps	step	NOUN
ijassa-1186	24	39	)	)	PUNCT
ijassa-1186	24	40	required	require	VERB
ijassa-1186	24	41	to	to	PART
ijassa-1186	24	42	spread	spread	VERB
ijassa-1186	24	43	the	the	DET
ijassa-1186	24	44	information	information	NOUN
ijassa-1186	24	45	among	among	ADP
ijassa-1186	24	46	a	a	DET
ijassa-1186	24	47	part	part	NOUN
ijassa-1186	24	48	of	of	ADP
ijassa-1186	24	49	nodes	node	NOUN
ijassa-1186	24	50	of	of	ADP
ijassa-1186	24	51	the	the	DET
ijassa-1186	24	52	network	network	NOUN
ijassa-1186	24	53	.	.	PUNCT
ijassa-1186	25	1	in	in	ADP
ijassa-1186	25	2	order	order	NOUN
ijassa-1186	25	3	to	to	PART
ijassa-1186	25	4	evolve	evolve	VERB
ijassa-1186	25	5	the	the	DET
ijassa-1186	25	6	network	network	NOUN
ijassa-1186	25	7	starting	start	VERB
ijassa-1186	25	8	from	from	ADP
ijassa-1186	25	9	a	a	DET
ijassa-1186	25	10	seed	seed	NOUN
ijassa-1186	25	11	set	set	NOUN
ijassa-1186	25	12	of	of	ADP
ijassa-1186	25	13	nodes	node	NOUN
ijassa-1186	25	14	containing	contain	VERB
ijassa-1186	25	15	at	at	ADV
ijassa-1186	25	16	least	least	ADV
ijassa-1186	25	17	one	one	NUM
ijassa-1186	25	18	node	node	NOUN
ijassa-1186	25	19	,	,	PUNCT
ijassa-1186	25	20	we	we	PRON
ijassa-1186	25	21	use	use	VERB
ijassa-1186	25	22	a	a	DET
ijassa-1186	25	23	linear	linear	ADJ
ijassa-1186	25	24	preferential	preferential	ADJ
ijassa-1186	25	25	attachment	attachment	NOUN
ijassa-1186	25	26	(	(	PUNCT
ijassa-1186	25	27	pa	pa	NOUN
ijassa-1186	25	28	)	)	PUNCT
ijassa-1186	25	29	schemes	scheme	NOUN
ijassa-1186	25	30	proposed	propose	VERB
ijassa-1186	25	31	in	in	ADP
ijassa-1186	25	32	[	[	X
ijassa-1186	25	33	3	3	NUM
ijassa-1186	25	34	]	]	PUNCT
ijassa-1186	25	35	.	.	PUNCT
ijassa-1186	26	1	we	we	PRON
ijassa-1186	26	2	consider	consider	VERB
ijassa-1186	26	3	the	the	DET
ijassa-1186	26	4	pa	pa	PROPN
ijassa-1186	26	5	as	as	ADP
ijassa-1186	26	6	a	a	DET
ijassa-1186	26	7	spreading	spread	VERB
ijassa-1186	26	8	model	model	NOUN
ijassa-1186	26	9	additionally	additionally	ADV
ijassa-1186	26	10	to	to	ADP
ijassa-1186	26	11	its	its	PRON
ijassa-1186	26	12	evolution	evolution	NOUN
ijassa-1186	26	13	function	function	NOUN
ijassa-1186	26	14	and	and	CCONJ
ijassa-1186	26	15	compare	compare	VERB
ijassa-1186	26	16	it	it	PRON
ijassa-1186	26	17	with	with	ADP
ijassa-1186	26	18	the	the	DET
ijassa-1186	26	19	algorithm	algorithm	NOUN
ijassa-1186	26	20	spread	spread	NOUN
ijassa-1186	26	21	proposed	propose	VERB
ijassa-1186	26	22	for	for	ADP
ijassa-1186	26	23	spreading	spread	VERB
ijassa-1186	26	24	purposes	purpose	NOUN
ijassa-1186	26	25	in	in	ADP
ijassa-1186	26	26	[	[	X
ijassa-1186	26	27	4	4	NUM
ijassa-1186	26	28	]	]	PUNCT
ijassa-1186	26	29	.	.	PUNCT
ijassa-1186	27	1	we	we	PRON
ijassa-1186	27	2	aim	aim	VERB
ijassa-1186	27	3	to	to	PART
ijassa-1186	27	4	consider	consider	VERB
ijassa-1186	27	5	non	non	ADJ
ijassa-1186	27	6	-	-	ADJ
ijassa-1186	27	7	homogeneous	homogeneous	ADJ
ijassa-1186	27	8	networks	network	NOUN
ijassa-1186	27	9	containing	contain	VERB
ijassa-1186	27	10	subgraphs	subgraph	NOUN
ijassa-1186	27	11	with	with	ADP
ijassa-1186	27	12	stationary	stationary	ADJ
ijassa-1186	27	13	distributed	distribute	VERB
ijassa-1186	27	14	inand	inand	ADJ
ijassa-1186	27	15	out	out	ADP
ijassa-1186	27	16	-	-	PUNCT
ijassa-1186	27	17	degrees	degree	NOUN
ijassa-1186	27	18	of	of	ADP
ijassa-1186	27	19	nodes	node	NOUN
ijassa-1186	27	20	.	.	PUNCT
ijassa-1186	28	1	to	to	ADP
ijassa-1186	28	2	this	this	DET
ijassa-1186	28	3	end	end	NOUN
ijassa-1186	28	4	,	,	PUNCT
ijassa-1186	28	5	we	we	PRON
ijassa-1186	28	6	partition	partition	VERB
ijassa-1186	28	7	the	the	DET
ijassa-1186	28	8	network	network	NOUN
ijassa-1186	28	9	into	into	ADP
ijassa-1186	28	10	communities	community	NOUN
ijassa-1186	28	11	and	and	CCONJ
ijassa-1186	28	12	use	use	VERB
ijassa-1186	28	13	these	these	DET
ijassa-1186	28	14	communities	community	NOUN
ijassa-1186	28	15	as	as	ADP
ijassa-1186	28	16	such	such	ADJ
ijassa-1186	28	17	subgraphs	subgraph	NOUN
ijassa-1186	28	18	.	.	PUNCT
ijassa-1186	29	1	a	a	DET
ijassa-1186	29	2	community	community	NOUN
ijassa-1186	29	3	is	be	AUX
ijassa-1186	29	4	a	a	DET
ijassa-1186	29	5	set	set	NOUN
ijassa-1186	29	6	of	of	ADP
ijassa-1186	29	7	highly	highly	ADV
ijassa-1186	29	8	connected	connect	VERB
ijassa-1186	29	9	nodes	node	NOUN
ijassa-1186	29	10	which	which	PRON
ijassa-1186	29	11	are	be	AUX
ijassa-1186	29	12	weak	weak	ADJ
ijassa-1186	29	13	connected	connect	VERB
ijassa-1186	29	14	with	with	ADP
ijassa-1186	29	15	nodes	node	NOUN
ijassa-1186	29	16	outside	outside	ADP
ijassa-1186	29	17	the	the	DET
ijassa-1186	29	18	community	community	NOUN
ijassa-1186	29	19	.	.	PUNCT
ijassa-1186	30	1	then	then	ADV
ijassa-1186	30	2	we	we	PRON
ijassa-1186	30	3	aim	aim	VERB
ijassa-1186	30	4	to	to	PART
ijassa-1186	30	5	find	find	VERB
ijassa-1186	30	6	leading	lead	VERB
ijassa-1186	30	7	communities	community	NOUN
ijassa-1186	30	8	that	that	PRON
ijassa-1186	30	9	may	may	AUX
ijassa-1186	30	10	spread	spread	VERB
ijassa-1186	30	11	the	the	DET
ijassa-1186	30	12	information	information	NOUN
ijassa-1186	30	13	faster	fast	ADV
ijassa-1186	30	14	than	than	ADP
ijassa-1186	30	15	the	the	DET
ijassa-1186	30	16	rest	rest	NOUN
ijassa-1186	30	17	of	of	ADP
ijassa-1186	30	18	the	the	DET
ijassa-1186	30	19	network	network	NOUN
ijassa-1186	30	20	.	.	PUNCT
ijassa-1186	31	1	on	on	ADP
ijassa-1186	31	2	each	each	DET
ijassa-1186	31	3	evolution	evolution	NOUN
ijassa-1186	31	4	step	step	NOUN
ijassa-1186	31	5	,	,	PUNCT
ijassa-1186	31	6	a	a	DET
ijassa-1186	31	7	configuration	configuration	NOUN
ijassa-1186	31	8	of	of	ADP
ijassa-1186	31	9	the	the	DET
ijassa-1186	31	10	evolving	evolve	VERB
ijassa-1186	31	11	network	network	NOUN
ijassa-1186	31	12	may	may	AUX
ijassa-1186	31	13	change	change	VERB
ijassa-1186	31	14	due	due	ADJ
ijassa-1186	31	15	to	to	ADP
ijassa-1186	31	16	newly	newly	ADV
ijassa-1186	31	17	appended	append	VERB
ijassa-1186	31	18	directed	direct	VERB
ijassa-1186	31	19	edges	edge	NOUN
ijassa-1186	31	20	that	that	PRON
ijassa-1186	31	21	may	may	AUX
ijassa-1186	31	22	change	change	VERB
ijassa-1186	31	23	the	the	DET
ijassa-1186	31	24	distribution	distribution	NOUN
ijassa-1186	31	25	of	of	ADP
ijassa-1186	31	26	the	the	DET
ijassa-1186	31	27	inand	inand	ADJ
ijassa-1186	31	28	out	out	ADJ
ijassa-1186	31	29	-	-	PUNCT
ijassa-1186	31	30	degrees	degree	NOUN
ijassa-1186	31	31	of	of	ADP
ijassa-1186	31	32	nodes	node	NOUN
ijassa-1186	31	33	.	.	PUNCT
ijassa-1186	32	1	apart	apart	ADV
ijassa-1186	32	2	of	of	ADP
ijassa-1186	32	3	the	the	DET
ijassa-1186	32	4	in	in	ADP
ijassa-1186	32	5	-	-	PUNCT
ijassa-1186	32	6	degrees	degree	NOUN
ijassa-1186	32	7	,	,	PUNCT
ijassa-1186	32	8	we	we	PRON
ijassa-1186	32	9	consider	consider	VERB
ijassa-1186	32	10	pageranks	pagerank	NOUN
ijassa-1186	32	11	as	as	ADP
ijassa-1186	32	12	influence	influence	NOUN
ijassa-1186	32	13	indices	index	NOUN
ijassa-1186	32	14	of	of	ADP
ijassa-1186	32	15	the	the	DET
ijassa-1186	32	16	nodes	node	NOUN
ijassa-1186	32	17	.	.	PUNCT
ijassa-1186	33	1	summarizing	summarizing	NOUN
ijassa-1186	33	2	,	,	PUNCT
ijassa-1186	33	3	the	the	DET
ijassa-1186	33	4	following	follow	VERB
ijassa-1186	33	5	novelties	novelty	NOUN
ijassa-1186	33	6	are	be	AUX
ijassa-1186	33	7	implemented	implement	VERB
ijassa-1186	33	8	.	.	PUNCT
ijassa-1186	34	1	firstly	firstly	ADV
ijassa-1186	34	2	,	,	PUNCT
ijassa-1186	34	3	the	the	DET
ijassa-1186	34	4	information	information	NOUN
ijassa-1186	34	5	spreading	spread	VERB
ijassa-1186	34	6	is	be	AUX
ijassa-1186	34	7	studied	study	VERB
ijassa-1186	34	8	in	in	ADP
ijassa-1186	34	9	a	a	DET
ijassa-1186	34	10	directed	direct	VERB
ijassa-1186	34	11	evolving	evolve	VERB
ijassa-1186	34	12	graph	graph	NOUN
ijassa-1186	34	13	where	where	SCONJ
ijassa-1186	34	14	a	a	DET
ijassa-1186	34	15	probability	probability	NOUN
ijassa-1186	34	16	to	to	PART
ijassa-1186	34	17	create	create	VERB
ijassa-1186	34	18	new	new	ADJ
ijassa-1186	34	19	edges	edge	NOUN
ijassa-1186	34	20	is	be	AUX
ijassa-1186	34	21	provided	provide	VERB
ijassa-1186	34	22	by	by	ADP
ijassa-1186	34	23	the	the	DET
ijassa-1186	34	24	linear	linear	PROPN
ijassa-1186	34	25	pa	pa	PROPN
ijassa-1186	34	26	schemes	scheme	NOUN
ijassa-1186	34	27	.	.	PUNCT
ijassa-1186	35	1	the	the	DET
ijassa-1186	35	2	spread	spread	ADJ
ijassa-1186	35	3	algorithm	algorithm	NOUN
ijassa-1186	35	4	proposed	propose	VERB
ijassa-1186	35	5	in	in	ADP
ijassa-1186	35	6	[	[	X
ijassa-1186	35	7	4	4	NUM
ijassa-1186	35	8	,	,	PUNCT
ijassa-1186	35	9	5	5	NUM
ijassa-1186	35	10	]	]	PUNCT
ijassa-1186	35	11	for	for	ADP
ijassa-1186	35	12	undirected	undirected	ADJ
ijassa-1186	35	13	stationary	stationary	ADJ
ijassa-1186	35	14	graphs	graph	NOUN
ijassa-1186	35	15	is	be	AUX
ijassa-1186	35	16	modified	modify	VERB
ijassa-1186	35	17	for	for	ADP
ijassa-1186	35	18	directed	direct	VERB
ijassa-1186	35	19	graphs	graph	NOUN
ijassa-1186	35	20	.	.	PUNCT
ijassa-1186	36	1	regarding	regard	VERB
ijassa-1186	36	2	the	the	DET
ijassa-1186	36	3	pa	pa	PROPN
ijassa-1186	36	4	schemes	scheme	NOUN
ijassa-1186	36	5	,	,	PUNCT
ijassa-1186	36	6	the	the	DET
ijassa-1186	36	7	probability	probability	NOUN
ijassa-1186	36	8	to	to	PART
ijassa-1186	36	9	create	create	VERB
ijassa-1186	36	10	newly	newly	ADV
ijassa-1186	36	11	appended	append	VERB
ijassa-1186	36	12	edges	edge	NOUN
ijassa-1186	36	13	may	may	AUX
ijassa-1186	36	14	depend	depend	VERB
ijassa-1186	36	15	on	on	ADP
ijassa-1186	36	16	the	the	DET
ijassa-1186	36	17	inor	inor	NOUN
ijassa-1186	36	18	(	(	PUNCT
ijassa-1186	36	19	and	and	CCONJ
ijassa-1186	36	20	)	)	PUNCT
ijassa-1186	36	21	out	out	ADJ
ijassa-1186	36	22	-	-	PUNCT
ijassa-1186	36	23	degrees	degree	NOUN
ijassa-1186	36	24	and	and	CCONJ
ijassa-1186	36	25	specific	specific	ADJ
ijassa-1186	36	26	pa	pa	PROPN
ijassa-1186	36	27	parameters	parameter	NOUN
ijassa-1186	36	28	.	.	PUNCT
ijassa-1186	37	1	secondly	secondly	ADV
ijassa-1186	37	2	,	,	PUNCT
ijassa-1186	37	3	a	a	DET
ijassa-1186	37	4	basic	basic	ADJ
ijassa-1186	37	5	graph	graph	NOUN
ijassa-1186	37	6	for	for	ADP
ijassa-1186	37	7	the	the	DET
ijassa-1186	37	8	spreading	spread	VERB
ijassa-1186	37	9	and	and	CCONJ
ijassa-1186	37	10	evolution	evolution	NOUN
ijassa-1186	37	11	is	be	AUX
ijassa-1186	37	12	non	non	ADJ
ijassa-1186	37	13	-	-	ADJ
ijassa-1186	37	14	homogeneous	homogeneous	ADJ
ijassa-1186	37	15	as	as	SCONJ
ijassa-1186	37	16	it	it	PRON
ijassa-1186	37	17	is	be	AUX
ijassa-1186	37	18	made	make	VERB
ijassa-1186	37	19	of	of	ADP
ijassa-1186	37	20	subgraphs	subgraph	NOUN
ijassa-1186	37	21	with	with	ADP
ijassa-1186	37	22	different	different	ADJ
ijassa-1186	37	23	distributions	distribution	NOUN
ijassa-1186	37	24	of	of	ADP
ijassa-1186	37	25	node	node	ADJ
ijassa-1186	37	26	characteristics	characteristic	NOUN
ijassa-1186	37	27	.	.	PUNCT
ijassa-1186	38	1	this	this	PRON
ijassa-1186	38	2	may	may	AUX
ijassa-1186	38	3	lead	lead	VERB
ijassa-1186	38	4	to	to	ADP
ijassa-1186	38	5	a	a	DET
ijassa-1186	38	6	different	different	ADJ
ijassa-1186	38	7	nodes	node	NOUN
ijassa-1186	38	8	’	'	PUNCT
ijassa-1186	38	9	ability	ability	NOUN
ijassa-1186	38	10	to	to	PART
ijassa-1186	38	11	spread	spread	VERB
ijassa-1186	38	12	information	information	NOUN
ijassa-1186	38	13	for	for	ADP
ijassa-1186	38	14	different	different	ADJ
ijassa-1186	38	15	sub	sub	NOUN
ijassa-1186	38	16	-	-	NOUN
ijassa-1186	38	17	graphs	graph	NOUN
ijassa-1186	38	18	of	of	ADP
ijassa-1186	38	19	the	the	DET
ijassa-1186	38	20	network	network	NOUN
ijassa-1186	38	21	.	.	PUNCT
ijassa-1186	39	1	finally	finally	ADV
ijassa-1186	39	2	,	,	PUNCT
ijassa-1186	39	3	the	the	DET
ijassa-1186	39	4	impact	impact	NOUN
ijassa-1186	39	5	of	of	ADP
ijassa-1186	39	6	the	the	DET
ijassa-1186	39	7	heaviness	heaviness	NOUN
ijassa-1186	39	8	of	of	ADP
ijassa-1186	39	9	the	the	DET
ijassa-1186	39	10	distribution	distribution	NOUN
ijassa-1186	39	11	tail	tail	NOUN
ijassa-1186	39	12	on	on	ADP
ijassa-1186	39	13	the	the	DET
ijassa-1186	39	14	spreading	spread	VERB
ijassa-1186	39	15	rate	rate	NOUN
ijassa-1186	39	16	is	be	AUX
ijassa-1186	39	17	demonstrated	demonstrate	VERB
ijassa-1186	39	18	on	on	ADP
ijassa-1186	39	19	a	a	DET
ijassa-1186	39	20	range	range	NOUN
ijassa-1186	39	21	of	of	ADP
ijassa-1186	39	22	real	real	ADJ
ijassa-1186	39	23	graphs	graph	NOUN
ijassa-1186	39	24	.	.	PUNCT
ijassa-1186	40	1	the	the	DET
ijassa-1186	40	2	paper	paper	NOUN
ijassa-1186	40	3	is	be	AUX
ijassa-1186	40	4	organized	organize	VERB
ijassa-1186	40	5	as	as	SCONJ
ijassa-1186	40	6	follows	follow	VERB
ijassa-1186	40	7	.	.	PUNCT
ijassa-1186	41	1	in	in	ADP
ijassa-1186	41	2	section	section	NOUN
ijassa-1186	41	3	2	2	NUM
ijassa-1186	41	4	related	relate	VERB
ijassa-1186	41	5	works	work	NOUN
ijassa-1186	41	6	and	and	CCONJ
ijassa-1186	41	7	a	a	DET
ijassa-1186	41	8	necessary	necessary	ADJ
ijassa-1186	41	9	methodology	methodology	NOUN
ijassa-1186	41	10	are	be	AUX
ijassa-1186	41	11	provided	provide	VERB
ijassa-1186	41	12	.	.	PUNCT
ijassa-1186	42	1	in	in	ADP
ijassa-1186	42	2	section	section	NOUN
ijassa-1186	42	3	3	3	NUM
ijassa-1186	42	4	we	we	PRON
ijassa-1186	42	5	investigate	investigate	VERB
ijassa-1186	42	6	simulated	simulated	ADJ
ijassa-1186	42	7	graphs	graph	NOUN
ijassa-1186	42	8	regarding	regard	VERB
ijassa-1186	42	9	the	the	DET
ijassa-1186	42	10	spreading	spread	VERB
ijassa-1186	42	11	capacity	capacity	NOUN
ijassa-1186	42	12	of	of	ADP
ijassa-1186	42	13	stationary	stationary	ADJ
ijassa-1186	42	14	parts	part	NOUN
ijassa-1186	42	15	of	of	ADP
ijassa-1186	42	16	the	the	DET
ijassa-1186	42	17	network	network	NOUN
ijassa-1186	42	18	.	.	PUNCT
ijassa-1186	43	1	in	in	ADP
ijassa-1186	43	2	section	section	NOUN
ijassa-1186	43	3	4	4	NUM
ijassa-1186	43	4	the	the	DET
ijassa-1186	43	5	impact	impact	NOUN
ijassa-1186	43	6	of	of	ADP
ijassa-1186	43	7	a	a	DET
ijassa-1186	43	8	seed	seed	NOUN
ijassa-1186	43	9	network	network	NOUN
ijassa-1186	43	10	on	on	ADP
ijassa-1186	43	11	the	the	DET
ijassa-1186	43	12	spreading	spread	VERB
ijassa-1186	43	13	rate	rate	NOUN
ijassa-1186	43	14	is	be	AUX
ijassa-1186	43	15	studied	study	VERB
ijassa-1186	43	16	for	for	ADP
ijassa-1186	43	17	a	a	DET
ijassa-1186	43	18	real	real	ADJ
ijassa-1186	43	19	graph	graph	NOUN
ijassa-1186	43	20	.	.	PUNCT
ijassa-1186	44	1	a	a	DET
ijassa-1186	44	2	set	set	NOUN
ijassa-1186	44	3	of	of	ADP
ijassa-1186	44	4	real	real	ADJ
ijassa-1186	44	5	graphs	graph	NOUN
ijassa-1186	44	6	are	be	AUX
ijassa-1186	44	7	compared	compare	VERB
ijassa-1186	44	8	in	in	ADP
ijassa-1186	44	9	section	section	NOUN
ijassa-1186	44	10	5	5	NUM
ijassa-1186	44	11	.	.	PUNCT
ijassa-1186	45	1	the	the	DET
ijassa-1186	45	2	exposition	exposition	NOUN
ijassa-1186	45	3	is	be	AUX
ijassa-1186	45	4	finalized	finalize	VERB
ijassa-1186	45	5	with	with	ADP
ijassa-1186	45	6	some	some	DET
ijassa-1186	45	7	conclusions	conclusion	NOUN
ijassa-1186	45	8	.	.	PUNCT
ijassa-1186	46	1	2	2	X
ijassa-1186	46	2	.	.	NUM
ijassa-1186	46	3	preliminaries	preliminary	NOUN
ijassa-1186	46	4	2.1	2.1	NUM
ijassa-1186	46	5	.	.	PUNCT
ijassa-1186	47	1	information	information	NOUN
ijassa-1186	47	2	spreading	spread	VERB
ijassa-1186	47	3	the	the	DET
ijassa-1186	47	4	spread	spread	ADJ
ijassa-1186	47	5	algorithm	algorithm	NOUN
ijassa-1186	47	6	proposed	propose	VERB
ijassa-1186	47	7	in	in	ADP
ijassa-1186	47	8	[	[	X
ijassa-1186	47	9	4	4	NUM
ijassa-1186	47	10	]	]	PUNCT
ijassa-1186	47	11	models	model	NOUN
ijassa-1186	47	12	a	a	DET
ijassa-1186	47	13	possible	possible	ADJ
ijassa-1186	47	14	information	information	NOUN
ijassa-1186	47	15	spreading	spread	VERB
ijassa-1186	47	16	in	in	ADP
ijassa-1186	47	17	undirected	undirected	ADJ
ijassa-1186	47	18	graphs	graph	NOUN
ijassa-1186	47	19	.	.	PUNCT
ijassa-1186	48	1	let	let	VERB
ijassa-1186	48	2	g	g	PROPN
ijassa-1186	48	3	=	=	SYM
ijassa-1186	48	4	(	(	PUNCT
ijassa-1186	48	5	v	v	NOUN
ijassa-1186	48	6	,	,	PUNCT
ijassa-1186	48	7	e	e	NOUN
ijassa-1186	48	8	)	)	PUNCT
ijassa-1186	48	9	be	be	VERB
ijassa-1186	48	10	the	the	DET
ijassa-1186	48	11	undirected	undirected	ADJ
ijassa-1186	48	12	graph	graph	NOUN
ijassa-1186	48	13	with	with	ADP
ijassa-1186	48	14	a	a	DET
ijassa-1186	48	15	set	set	NOUN
ijassa-1186	48	16	of	of	ADP
ijassa-1186	48	17	nodes	node	NOUN
ijassa-1186	48	18	v	v	ADP
ijassa-1186	48	19	and	and	CCONJ
ijassa-1186	48	20	edges	edge	VERB
ijassa-1186	48	21	e.	e.	PROPN
ijassa-1186	48	22	considering	consider	VERB
ijassa-1186	48	23	an	an	DET
ijassa-1186	48	24	asynchronous	asynchronous	ADJ
ijassa-1186	48	25	time	time	NOUN
ijassa-1186	48	26	model	model	NOUN
ijassa-1186	48	27	(	(	PUNCT
ijassa-1186	48	28	there	there	PRON
ijassa-1186	48	29	are	be	VERB
ijassa-1186	48	30	not	not	PART
ijassa-1186	48	31	quite	quite	ADV
ijassa-1186	48	32	synchronized	synchronize	VERB
ijassa-1186	48	33	clocks	clock	NOUN
ijassa-1186	48	34	in	in	ADP
ijassa-1186	48	35	all	all	DET
ijassa-1186	48	36	nodes	node	NOUN
ijassa-1186	48	37	)	)	PUNCT
ijassa-1186	48	38	,	,	PUNCT
ijassa-1186	48	39	a	a	DET
ijassa-1186	48	40	node	node	NOUN
ijassa-1186	48	41	may	may	AUX
ijassa-1186	48	42	initiate	initiate	VERB
ijassa-1186	48	43	a	a	DET
ijassa-1186	48	44	communication	communication	NOUN
ijassa-1186	48	45	by	by	ADP
ijassa-1186	48	46	ticks	tick	NOUN
ijassa-1186	48	47	of	of	ADP
ijassa-1186	48	48	a	a	DET
ijassa-1186	48	49	global	global	ADJ
ijassa-1186	48	50	clock	clock	NOUN
ijassa-1186	48	51	which	which	PRON
ijassa-1186	48	52	are	be	AUX
ijassa-1186	48	53	modelled	model	VERB
ijassa-1186	48	54	as	as	ADP
ijassa-1186	48	55	a	a	DET
ijassa-1186	48	56	poisson	poisson	NOUN
ijassa-1186	48	57	process	process	NOUN
ijassa-1186	48	58	of	of	ADP
ijassa-1186	48	59	rate	rate	NOUN
ijassa-1186	48	60	n	n	NOUN
ijassa-1186	48	61	=	=	PUNCT
ijassa-1186	48	62	|v	|v	PROPN
ijassa-1186	48	63	|	|	NOUN
ijassa-1186	48	64	,	,	PUNCT
ijassa-1186	48	65	[	[	X
ijassa-1186	48	66	4	4	NUM
ijassa-1186	48	67	,	,	PUNCT
ijassa-1186	48	68	5	5	NUM
ijassa-1186	48	69	]	]	PUNCT
ijassa-1186	48	70	.	.	PUNCT
ijassa-1186	49	1	let	let	VERB
ijassa-1186	49	2	k	k	PROPN
ijassa-1186	49	3	≥	≥	X
ijassa-1186	49	4	0	0	NUM
ijassa-1186	49	5	denote	denote	VERB
ijassa-1186	49	6	the	the	DET
ijassa-1186	49	7	index	index	NOUN
ijassa-1186	49	8	of	of	ADP
ijassa-1186	49	9	a	a	DET
ijassa-1186	49	10	tick	tick	NOUN
ijassa-1186	49	11	,	,	PUNCT
ijassa-1186	49	12	on	on	ADP
ijassa-1186	49	13	which	which	PRON
ijassa-1186	49	14	at	at	ADP
ijassa-1186	49	15	most	most	ADV
ijassa-1186	49	16	one	one	NUM
ijassa-1186	49	17	node	node	NOUN
ijassa-1186	49	18	can	can	AUX
ijassa-1186	49	19	receive	receive	VERB
ijassa-1186	49	20	messages	message	NOUN
ijassa-1186	49	21	by	by	ADP
ijassa-1186	49	22	communicating	communicate	VERB
ijassa-1186	49	23	with	with	ADP
ijassa-1186	49	24	another	another	DET
ijassa-1186	49	25	node	node	NOUN
ijassa-1186	49	26	.	.	PUNCT
ijassa-1186	50	1	on	on	ADP
ijassa-1186	50	2	a	a	DET
ijassa-1186	50	3	tick	tick	NOUN
ijassa-1186	50	4	one	one	NUM
ijassa-1186	50	5	of	of	ADP
ijassa-1186	50	6	n	n	PRON
ijassa-1186	50	7	nodes	node	NOUN
ijassa-1186	50	8	of	of	ADP
ijassa-1186	50	9	the	the	DET
ijassa-1186	50	10	graph	graph	NOUN
ijassa-1186	50	11	is	be	AUX
ijassa-1186	50	12	chosen	choose	VERB
ijassa-1186	50	13	uniformly	uniformly	ADV
ijassa-1186	50	14	.	.	PUNCT
ijassa-1186	51	1	then	then	ADV
ijassa-1186	51	2	this	this	DET
ijassa-1186	51	3	node	node	NOUN
ijassa-1186	51	4	i	i	PRON
ijassa-1186	51	5	chooses	choose	VERB
ijassa-1186	51	6	a	a	DET
ijassa-1186	51	7	node	node	NOUN
ijassa-1186	51	8	j	j	PROPN
ijassa-1186	51	9	uniformly	uniformly	ADV
ijassa-1186	51	10	among	among	ADP
ijassa-1186	51	11	it	it	PRON
ijassa-1186	51	12	neighbors	neighbor	NOUN
ijassa-1186	51	13	with	with	ADP
ijassa-1186	51	14	probability	probability	NOUN
ijassa-1186	51	15	pij	pij	NOUN
ijassa-1186	51	16	=	=	NOUN
ijassa-1186	51	17	1	1	NUM
ijassa-1186	51	18	/	/	SYM
ijassa-1186	51	19	dmax	dmax	ADJ
ijassa-1186	51	20	,	,	PUNCT
ijassa-1186	51	21	where	where	SCONJ
ijassa-1186	51	22	dmax	dmax	ADJ
ijassa-1186	51	23	=	=	SYM
ijassa-1186	51	24	maxi∈v	maxi∈v	PROPN
ijassa-1186	51	25	di	di	PROPN
ijassa-1186	51	26	,	,	PUNCT
ijassa-1186	51	27	di	di	X
ijassa-1186	51	28	is	be	AUX
ijassa-1186	51	29	the	the	DET
ijassa-1186	51	30	degree	degree	NOUN
ijassa-1186	51	31	of	of	ADP
ijassa-1186	51	32	node	node	ADJ
ijassa-1186	51	33	i.	i.	NOUN
ijassa-1186	51	34	in	in	ADP
ijassa-1186	51	35	[	[	X
ijassa-1186	51	36	4	4	NUM
ijassa-1186	51	37	,	,	PUNCT
ijassa-1186	51	38	5	5	NUM
ijassa-1186	51	39	]	]	PUNCT
ijassa-1186	51	40	nodes	node	NOUN
ijassa-1186	51	41	share	share	VERB
ijassa-1186	51	42	with	with	ADP
ijassa-1186	51	43	each	each	DET
ijassa-1186	51	44	other	other	ADJ
ijassa-1186	51	45	all	all	DET
ijassa-1186	51	46	information	information	NOUN
ijassa-1186	51	47	they	they	PRON
ijassa-1186	51	48	have	have	VERB
ijassa-1186	51	49	.	.	PUNCT
ijassa-1186	52	1	here	here	ADV
ijassa-1186	52	2	,	,	PUNCT
ijassa-1186	52	3	we	we	PRON
ijassa-1186	52	4	consider	consider	VERB
ijassa-1186	52	5	the	the	DET
ijassa-1186	52	6	case	case	NOUN
ijassa-1186	52	7	when	when	SCONJ
ijassa-1186	52	8	only	only	ADV
ijassa-1186	52	9	a	a	DET
ijassa-1186	52	10	single	single	ADJ
ijassa-1186	52	11	message	message	NOUN
ijassa-1186	52	12	is	be	AUX
ijassa-1186	52	13	spreading	spread	VERB
ijassa-1186	52	14	in	in	ADP
ijassa-1186	52	15	the	the	DET
ijassa-1186	52	16	network	network	NOUN
ijassa-1186	52	17	.	.	PUNCT
ijassa-1186	53	1	in	in	ADP
ijassa-1186	53	2	algorithm	algorithm	NOUN
ijassa-1186	53	3	1	1	NUM
ijassa-1186	53	4	we	we	PRON
ijassa-1186	53	5	slightly	slightly	ADV
ijassa-1186	53	6	change	change	VERB
ijassa-1186	53	7	the	the	DET
ijassa-1186	53	8	spread	spread	NOUN
ijassa-1186	53	9	with	with	ADP
ijassa-1186	53	10	this	this	DET
ijassa-1186	53	11	respect	respect	NOUN
ijassa-1186	53	12	.	.	PUNCT
ijassa-1186	54	1	to	to	PART
ijassa-1186	54	2	apply	apply	VERB
ijassa-1186	54	3	the	the	DET
ijassa-1186	54	4	spread	spread	ADJ
ijassa-1186	54	5	algorithm	algorithm	NOUN
ijassa-1186	54	6	in	in	ADP
ijassa-1186	54	7	directed	direct	VERB
ijassa-1186	54	8	graphs	graph	NOUN
ijassa-1186	54	9	it	it	PRON
ijassa-1186	54	10	is	be	AUX
ijassa-1186	54	11	plausible	plausible	ADJ
ijassa-1186	54	12	to	to	PART
ijassa-1186	54	13	assume	assume	VERB
ijassa-1186	54	14	that	that	SCONJ
ijassa-1186	54	15	the	the	DET
ijassa-1186	54	16	node	node	NOUN
ijassa-1186	54	17	i	i	PRON
ijassa-1186	54	18	may	may	AUX
ijassa-1186	54	19	share	share	VERB
ijassa-1186	54	20	its	its	PRON
ijassa-1186	54	21	message	message	NOUN
ijassa-1186	54	22	with	with	ADP
ijassa-1186	54	23	node	node	PROPN
ijassa-1186	54	24	j	j	PROPN
ijassa-1186	54	25	,	,	PUNCT
ijassa-1186	54	26	if	if	SCONJ
ijassa-1186	54	27	there	there	PRON
ijassa-1186	54	28	is	be	VERB
ijassa-1186	54	29	a	a	DET
ijassa-1186	54	30	directed	direct	VERB
ijassa-1186	54	31	edge	edge	NOUN
ijassa-1186	54	32	(	(	PUNCT
ijassa-1186	54	33	i→	i→	PROPN
ijassa-1186	54	34	j	j	PROPN
ijassa-1186	54	35	)	)	PUNCT
ijassa-1186	54	36	from	from	ADP
ijassa-1186	54	37	i	i	PRON
ijassa-1186	54	38	to	to	ADP
ijassa-1186	54	39	j.	j.	PROPN
ijassa-1186	54	40	thus	thus	ADV
ijassa-1186	54	41	,	,	PUNCT
ijassa-1186	54	42	we	we	PRON
ijassa-1186	54	43	use	use	VERB
ijassa-1186	54	44	pij	pij	NOUN
ijassa-1186	54	45	=	=	NOUN
ijassa-1186	54	46	1	1	NUM
ijassa-1186	54	47	/	/	SYM
ijassa-1186	54	48	oi	oi	NOUN
ijassa-1186	54	49	,	,	PUNCT
ijassa-1186	54	50	where	where	SCONJ
ijassa-1186	54	51	oi	oi	PROPN
ijassa-1186	54	52	is	be	AUX
ijassa-1186	54	53	the	the	DET
ijassa-1186	54	54	out	out	ADJ
ijassa-1186	54	55	-	-	PUNCT
ijassa-1186	54	56	degree	degree	NOUN
ijassa-1186	54	57	of	of	ADP
ijassa-1186	54	58	the	the	DET
ijassa-1186	54	59	node	node	PROPN
ijassa-1186	54	60	i.	i.	NOUN
ijassa-1186	54	61	copyright	copyright	PROPN
ijassa-1186	54	62	©	©	PROPN
ijassa-1186	54	63	2022	2022	NUM
ijassa-1186	54	64	assa	assa	NOUN
ijassa-1186	54	65	.	.	PUNCT
ijassa-1186	55	1	adv	adv	PROPN
ijassa-1186	55	2	syst	syst	PROPN
ijassa-1186	55	3	sci	sci	PROPN
ijassa-1186	55	4	appl	appl	PROPN
ijassa-1186	55	5	(	(	PUNCT
ijassa-1186	55	6	2022	2022	NUM
ijassa-1186	55	7	)	)	PUNCT
ijassa-1186	55	8	information	information	NOUN
ijassa-1186	55	9	spreading	spread	VERB
ijassa-1186	55	10	and	and	CCONJ
ijassa-1186	55	11	evolution	evolution	NOUN
ijassa-1186	55	12	of	of	ADP
ijassa-1186	55	13	non	non	ADJ
ijassa-1186	55	14	-	-	ADJ
ijassa-1186	55	15	homogeneous	homogeneous	ADJ
ijassa-1186	55	16	networks	network	NOUN
ijassa-1186	55	17	23	23	NUM
ijassa-1186	55	18	algorithm	algorithm	NOUN
ijassa-1186	55	19	1	1	NUM
ijassa-1186	55	20	the	the	DET
ijassa-1186	55	21	spread	spread	NOUN
ijassa-1186	55	22	•	•	NOUN
ijassa-1186	55	23	at	at	ADP
ijassa-1186	55	24	the	the	DET
ijassa-1186	55	25	tick	tick	NOUN
ijassa-1186	55	26	k	k	PROPN
ijassa-1186	55	27	a	a	DET
ijassa-1186	55	28	node	node	NOUN
ijassa-1186	55	29	i	i	PRON
ijassa-1186	55	30	is	be	AUX
ijassa-1186	55	31	uniformly	uniformly	ADV
ijassa-1186	55	32	chosen	choose	VERB
ijassa-1186	55	33	in	in	ADP
ijassa-1186	55	34	the	the	DET
ijassa-1186	55	35	graph	graph	NOUN
ijassa-1186	55	36	,	,	PUNCT
ijassa-1186	55	37	and	and	CCONJ
ijassa-1186	55	38	it	it	PRON
ijassa-1186	55	39	initiates	initiate	VERB
ijassa-1186	55	40	a	a	DET
ijassa-1186	55	41	communication	communication	NOUN
ijassa-1186	55	42	.	.	PUNCT
ijassa-1186	56	1	•	•	NUM
ijassa-1186	56	2	the	the	DET
ijassa-1186	56	3	node	node	NOUN
ijassa-1186	56	4	i	i	PRON
ijassa-1186	56	5	chooses	choose	VERB
ijassa-1186	56	6	a	a	DET
ijassa-1186	56	7	node	node	NOUN
ijassa-1186	56	8	j	j	PROPN
ijassa-1186	56	9	uniformly	uniformly	ADV
ijassa-1186	56	10	among	among	ADP
ijassa-1186	56	11	its	its	PRON
ijassa-1186	56	12	neighbors	neighbor	NOUN
ijassa-1186	56	13	without	without	ADP
ijassa-1186	56	14	the	the	DET
ijassa-1186	56	15	message	message	NOUN
ijassa-1186	56	16	with	with	ADP
ijassa-1186	56	17	probability	probability	NOUN
ijassa-1186	56	18	pij	pij	NOUN
ijassa-1186	56	19	=	=	NOUN
ijassa-1186	56	20	1	1	PROPN
ijassa-1186	56	21	/	/	SYM
ijassa-1186	56	22	oi	oi	NOUN
ijassa-1186	56	23	and	and	CCONJ
ijassa-1186	56	24	sends	send	VERB
ijassa-1186	56	25	its	its	PRON
ijassa-1186	56	26	single	single	ADJ
ijassa-1186	56	27	message	message	NOUN
ijassa-1186	56	28	to	to	ADP
ijassa-1186	56	29	the	the	DET
ijassa-1186	56	30	node	node	NOUN
ijassa-1186	56	31	j.	j.	PROPN
ijassa-1186	56	32	2.2	2.2	NUM
ijassa-1186	56	33	.	.	PUNCT
ijassa-1186	57	1	preferential	preferential	ADJ
ijassa-1186	57	2	attachment	attachment	NOUN
ijassa-1186	57	3	now	now	ADV
ijassa-1186	57	4	we	we	PRON
ijassa-1186	57	5	consider	consider	VERB
ijassa-1186	57	6	the	the	DET
ijassa-1186	57	7	information	information	NOUN
ijassa-1186	57	8	spreading	spread	VERB
ijassa-1186	57	9	in	in	ADP
ijassa-1186	57	10	directed	direct	VERB
ijassa-1186	57	11	graphs	graph	NOUN
ijassa-1186	57	12	.	.	PUNCT
ijassa-1186	58	1	let	let	VERB
ijassa-1186	58	2	us	we	PRON
ijassa-1186	58	3	recall	recall	VERB
ijassa-1186	58	4	the	the	DET
ijassa-1186	58	5	linear	linear	PROPN
ijassa-1186	58	6	pa	pa	PROPN
ijassa-1186	58	7	model	model	NOUN
ijassa-1186	58	8	that	that	PRON
ijassa-1186	58	9	is	be	AUX
ijassa-1186	58	10	proposed	propose	VERB
ijassa-1186	58	11	and	and	CCONJ
ijassa-1186	58	12	studied	study	VERB
ijassa-1186	58	13	in	in	ADP
ijassa-1186	58	14	[	[	X
ijassa-1186	58	15	3	3	NUM
ijassa-1186	58	16	,	,	PUNCT
ijassa-1186	58	17	7	7	NUM
ijassa-1186	58	18	]	]	PUNCT
ijassa-1186	58	19	.	.	PUNCT
ijassa-1186	59	1	it	it	PRON
ijassa-1186	59	2	starts	start	VERB
ijassa-1186	59	3	with	with	ADP
ijassa-1186	59	4	an	an	DET
ijassa-1186	59	5	initial	initial	ADJ
ijassa-1186	59	6	directed	direct	VERB
ijassa-1186	59	7	graph	graph	NOUN
ijassa-1186	59	8	g(k0	g(k0	NOUN
ijassa-1186	59	9	)	)	PUNCT
ijassa-1186	59	10	with	with	ADP
ijassa-1186	59	11	at	at	ADV
ijassa-1186	59	12	least	least	ADV
ijassa-1186	59	13	one	one	NUM
ijassa-1186	59	14	node	node	NOUN
ijassa-1186	59	15	and	and	CCONJ
ijassa-1186	59	16	k0	k0	PROPN
ijassa-1186	59	17	∈	∈	PROPN
ijassa-1186	59	18	n	n	PRON
ijassa-1186	59	19	edges	edge	NOUN
ijassa-1186	59	20	.	.	PUNCT
ijassa-1186	60	1	for	for	ADP
ijassa-1186	60	2	the	the	DET
ijassa-1186	60	3	non	non	ADJ
ijassa-1186	60	4	-	-	ADJ
ijassa-1186	60	5	negative	negative	ADJ
ijassa-1186	60	6	parameters	parameter	NOUN
ijassa-1186	60	7	α	α	X
ijassa-1186	60	8	,	,	PUNCT
ijassa-1186	60	9	β	β	X
ijassa-1186	60	10	,	,	PUNCT
ijassa-1186	60	11	γ	γ	PROPN
ijassa-1186	60	12	such	such	ADJ
ijassa-1186	60	13	that	that	SCONJ
ijassa-1186	60	14	α	α	PROPN
ijassa-1186	60	15	+	+	X
ijassa-1186	60	16	β	β	X
ijassa-1186	60	17	+	+	X
ijassa-1186	60	18	γ	γ	X
ijassa-1186	60	19	=	=	SYM
ijassa-1186	60	20	1	1	NUM
ijassa-1186	60	21	holds	hold	NOUN
ijassa-1186	60	22	,	,	PUNCT
ijassa-1186	60	23	and	and	CCONJ
ijassa-1186	60	24	specific	specific	ADJ
ijassa-1186	60	25	parameters	parameter	NOUN
ijassa-1186	60	26	∆in,∆out	∆in,∆out	ADP
ijassa-1186	60	27	,	,	PUNCT
ijassa-1186	60	28	the	the	DET
ijassa-1186	60	29	model	model	NOUN
ijassa-1186	60	30	constructs	construct	VERB
ijassa-1186	60	31	a	a	DET
ijassa-1186	60	32	growing	grow	VERB
ijassa-1186	60	33	sequence	sequence	NOUN
ijassa-1186	60	34	of	of	ADP
ijassa-1186	60	35	directed	direct	VERB
ijassa-1186	60	36	random	random	ADJ
ijassa-1186	60	37	graphs	graph	NOUN
ijassa-1186	60	38	g(k	g(k	NOUN
ijassa-1186	60	39	)	)	PUNCT
ijassa-1186	60	40	=	=	SYM
ijassa-1186	60	41	(	(	PUNCT
ijassa-1186	60	42	v	v	NOUN
ijassa-1186	60	43	(	(	PUNCT
ijassa-1186	60	44	k	k	NOUN
ijassa-1186	60	45	)	)	PUNCT
ijassa-1186	60	46	,	,	PUNCT
ijassa-1186	60	47	e(k	e(k	NOUN
ijassa-1186	60	48	)	)	PUNCT
ijassa-1186	60	49	)	)	PUNCT
ijassa-1186	60	50	depending	depend	VERB
ijassa-1186	60	51	on	on	ADP
ijassa-1186	60	52	the	the	DET
ijassa-1186	60	53	step	step	NOUN
ijassa-1186	60	54	k.	k.	PROPN
ijassa-1186	61	1	a	a	DET
ijassa-1186	61	2	graph	graph	NOUN
ijassa-1186	61	3	g(k	g(k	NOUN
ijassa-1186	61	4	)	)	PUNCT
ijassa-1186	61	5	is	be	AUX
ijassa-1186	61	6	generated	generate	VERB
ijassa-1186	61	7	from	from	ADP
ijassa-1186	61	8	g(k	g(k	NOUN
ijassa-1186	61	9	−	−	PROPN
ijassa-1186	61	10	1	1	NUM
ijassa-1186	61	11	)	)	PUNCT
ijassa-1186	61	12	by	by	ADP
ijassa-1186	61	13	adding	add	VERB
ijassa-1186	61	14	a	a	DET
ijassa-1186	61	15	directed	direct	VERB
ijassa-1186	61	16	edge	edge	NOUN
ijassa-1186	61	17	.	.	PUNCT
ijassa-1186	62	1	furthermore	furthermore	ADV
ijassa-1186	62	2	,	,	PUNCT
ijassa-1186	62	3	n(k	n(k	PROPN
ijassa-1186	62	4	)	)	PUNCT
ijassa-1186	62	5	,	,	PUNCT
ijassa-1186	62	6	ik(w	ik(w	NOUN
ijassa-1186	62	7	)	)	PUNCT
ijassa-1186	62	8	and	and	CCONJ
ijassa-1186	62	9	ok(w	ok(w	NUM
ijassa-1186	62	10	)	)	PUNCT
ijassa-1186	62	11	denote	denote	VERB
ijassa-1186	62	12	the	the	DET
ijassa-1186	62	13	number	number	NOUN
ijassa-1186	62	14	of	of	ADP
ijassa-1186	62	15	nodes	node	NOUN
ijassa-1186	62	16	,	,	PUNCT
ijassa-1186	62	17	inand	inand	PROPN
ijassa-1186	62	18	outdegrees	outdegree	NOUN
ijassa-1186	62	19	of	of	ADP
ijassa-1186	62	20	node	node	PROPN
ijassa-1186	62	21	w	w	PROPN
ijassa-1186	62	22	in	in	ADP
ijassa-1186	62	23	the	the	DET
ijassa-1186	62	24	graph	graph	NOUN
ijassa-1186	62	25	g(k	g(k	NOUN
ijassa-1186	62	26	)	)	PUNCT
ijassa-1186	62	27	with	with	ADP
ijassa-1186	62	28	k	k	PROPN
ijassa-1186	62	29	edges	edge	NOUN
ijassa-1186	62	30	.	.	PUNCT
ijassa-1186	63	1	the	the	DET
ijassa-1186	63	2	following	follow	VERB
ijassa-1186	63	3	three	three	NUM
ijassa-1186	63	4	scenarios	scenario	NOUN
ijassa-1186	63	5	of	of	ADP
ijassa-1186	63	6	the	the	DET
ijassa-1186	63	7	edge	edge	NOUN
ijassa-1186	63	8	creation	creation	NOUN
ijassa-1186	63	9	,	,	PUNCT
ijassa-1186	63	10	which	which	PRON
ijassa-1186	63	11	are	be	AUX
ijassa-1186	63	12	called	call	VERB
ijassa-1186	63	13	α−	α−	ADP
ijassa-1186	63	14	,	,	PUNCT
ijassa-1186	63	15	β−	β−	PROPN
ijassa-1186	63	16	and	and	CCONJ
ijassa-1186	63	17	γ−	γ−	PROPN
ijassa-1186	63	18	schemes	scheme	NOUN
ijassa-1186	63	19	,	,	PUNCT
ijassa-1186	63	20	respectively	respectively	ADV
ijassa-1186	63	21	,	,	PUNCT
ijassa-1186	63	22	are	be	AUX
ijassa-1186	63	23	proposed	propose	VERB
ijassa-1186	63	24	in	in	ADP
ijassa-1186	63	25	[	[	X
ijassa-1186	63	26	3	3	NUM
ijassa-1186	63	27	,	,	PUNCT
ijassa-1186	63	28	7	7	NUM
ijassa-1186	63	29	]	]	PUNCT
ijassa-1186	63	30	.	.	PUNCT
ijassa-1186	64	1	to	to	PART
ijassa-1186	64	2	select	select	VERB
ijassa-1186	64	3	schemes	scheme	NOUN
ijassa-1186	64	4	,	,	PUNCT
ijassa-1186	64	5	one	one	PRON
ijassa-1186	64	6	has	have	VERB
ijassa-1186	64	7	to	to	PART
ijassa-1186	64	8	generate	generate	VERB
ijassa-1186	64	9	an	an	DET
ijassa-1186	64	10	i.i.d	i.i.d	NOUN
ijassa-1186	64	11	.	.	PUNCT
ijassa-1186	65	1	sequence	sequence	NOUN
ijassa-1186	65	2	of	of	ADP
ijassa-1186	65	3	trinomial	trinomial	ADJ
ijassa-1186	65	4	random	random	ADJ
ijassa-1186	65	5	variables	variable	NOUN
ijassa-1186	65	6	with	with	ADP
ijassa-1186	65	7	values	value	NOUN
ijassa-1186	65	8	1	1	NUM
ijassa-1186	65	9	,	,	PUNCT
ijassa-1186	65	10	2	2	NUM
ijassa-1186	65	11	and	and	CCONJ
ijassa-1186	65	12	3	3	NUM
ijassa-1186	65	13	and	and	CCONJ
ijassa-1186	65	14	the	the	DET
ijassa-1186	65	15	corresponding	correspond	VERB
ijassa-1186	65	16	probabilities	probability	NOUN
ijassa-1186	65	17	α	α	NOUN
ijassa-1186	65	18	,	,	PUNCT
ijassa-1186	65	19	β	β	X
ijassa-1186	65	20	and	and	CCONJ
ijassa-1186	65	21	γ	γ	PROPN
ijassa-1186	65	22	,	,	PUNCT
ijassa-1186	65	23	see	see	VERB
ijassa-1186	65	24	algorithm	algorithm	NOUN
ijassa-1186	65	25	2	2	NUM
ijassa-1186	65	26	.	.	PUNCT
ijassa-1186	65	27	algorithm	algorithm	NOUN
ijassa-1186	65	28	2	2	NUM
ijassa-1186	65	29	the	the	DET
ijassa-1186	65	30	linear	linear	ADJ
ijassa-1186	65	31	preferential	preferential	ADJ
ijassa-1186	65	32	attachment	attachment	NOUN
ijassa-1186	65	33	schemes	scheme	NOUN
ijassa-1186	65	34	•	•	NUM
ijassa-1186	65	35	by	by	ADP
ijassa-1186	65	36	the	the	DET
ijassa-1186	65	37	α−	α−	PROPN
ijassa-1186	65	38	scheme	scheme	NOUN
ijassa-1186	65	39	we	we	PRON
ijassa-1186	65	40	append	append	VERB
ijassa-1186	65	41	a	a	DET
ijassa-1186	65	42	new	new	ADJ
ijassa-1186	65	43	node	node	NOUN
ijassa-1186	65	44	wnew	wnew	NOUN
ijassa-1186	65	45	and	and	CCONJ
ijassa-1186	65	46	create	create	VERB
ijassa-1186	65	47	an	an	DET
ijassa-1186	65	48	edge	edge	NOUN
ijassa-1186	65	49	(	(	PUNCT
ijassa-1186	65	50	wnew	wnew	NOUN
ijassa-1186	65	51	→	→	SYM
ijassa-1186	65	52	w	w	NOUN
ijassa-1186	65	53	)	)	PUNCT
ijassa-1186	65	54	with	with	ADP
ijassa-1186	65	55	probability	probability	NOUN
ijassa-1186	65	56	α	α	NOUN
ijassa-1186	65	57	,	,	PUNCT
ijassa-1186	65	58	where	where	SCONJ
ijassa-1186	65	59	the	the	DET
ijassa-1186	65	60	existing	exist	VERB
ijassa-1186	65	61	node	node	NOUN
ijassa-1186	65	62	w	w	PROPN
ijassa-1186	65	63	∈	∈	PROPN
ijassa-1186	65	64	v	v	X
ijassa-1186	65	65	(	(	PUNCT
ijassa-1186	65	66	k	k	NOUN
ijassa-1186	65	67	−	−	PROPN
ijassa-1186	65	68	1	1	NUM
ijassa-1186	65	69	)	)	PUNCT
ijassa-1186	65	70	is	be	AUX
ijassa-1186	65	71	chosen	choose	VERB
ijassa-1186	65	72	with	with	ADP
ijassa-1186	65	73	probability	probability	NOUN
ijassa-1186	65	74	p	p	X
ijassa-1186	65	75	(	(	PUNCT
ijassa-1186	65	76	choose	choose	VERB
ijassa-1186	65	77	w	w	PROPN
ijassa-1186	65	78	∈	∈	PROPN
ijassa-1186	65	79	v	v	NOUN
ijassa-1186	65	80	(	(	PUNCT
ijassa-1186	65	81	k	k	NOUN
ijassa-1186	65	82	−	−	PROPN
ijassa-1186	65	83	1	1	NUM
ijassa-1186	65	84	)	)	PUNCT
ijassa-1186	65	85	)	)	PUNCT
ijassa-1186	66	1	=	=	SYM
ijassa-1186	66	2	ik−1(w	ik−1(w	X
ijassa-1186	66	3	)	)	PUNCT
ijassa-1186	67	1	+	+	NUM
ijassa-1186	67	2	∆in	∆in	PROPN
ijassa-1186	67	3	k	k	NOUN
ijassa-1186	68	1	−	−	PROPN
ijassa-1186	69	1	1	1	NUM
ijassa-1186	70	1	+	+	CCONJ
ijassa-1186	70	2	∆inn(k	∆inn(k	NOUN
ijassa-1186	70	3	−	−	NOUN
ijassa-1186	70	4	1	1	NUM
ijassa-1186	70	5	)	)	PUNCT
ijassa-1186	70	6	.	.	PUNCT
ijassa-1186	71	1	•	•	NUM
ijassa-1186	71	2	by	by	ADP
ijassa-1186	71	3	the	the	DET
ijassa-1186	71	4	β	β	NOUN
ijassa-1186	71	5	−	−	PROPN
ijassa-1186	71	6	scheme	scheme	NOUN
ijassa-1186	71	7	the	the	DET
ijassa-1186	71	8	existing	exist	VERB
ijassa-1186	71	9	nodes	node	NOUN
ijassa-1186	71	10	w1	w1	NOUN
ijassa-1186	71	11	,	,	PUNCT
ijassa-1186	71	12	w2	w2	NOUN
ijassa-1186	71	13	∈	∈	PROPN
ijassa-1186	71	14	v	v	PROPN
ijassa-1186	71	15	(	(	PUNCT
ijassa-1186	71	16	k	k	NOUN
ijassa-1186	71	17	−	−	PROPN
ijassa-1186	71	18	1	1	NUM
ijassa-1186	71	19	)	)	PUNCT
ijassa-1186	71	20	are	be	AUX
ijassa-1186	71	21	chosen	choose	VERB
ijassa-1186	71	22	independently	independently	ADV
ijassa-1186	71	23	with	with	ADP
ijassa-1186	71	24	probability	probability	NOUN
ijassa-1186	71	25	p	p	X
ijassa-1186	71	26	(	(	PUNCT
ijassa-1186	71	27	choose	choose	VERB
ijassa-1186	71	28	w1	w1	NOUN
ijassa-1186	71	29	,	,	PUNCT
ijassa-1186	71	30	w2	w2	NOUN
ijassa-1186	71	31	∈	∈	PROPN
ijassa-1186	71	32	v	v	PROPN
ijassa-1186	71	33	(	(	PUNCT
ijassa-1186	71	34	k	k	NOUN
ijassa-1186	71	35	−	−	PROPN
ijassa-1186	71	36	1	1	NUM
ijassa-1186	71	37	)	)	PUNCT
ijassa-1186	71	38	)	)	PUNCT
ijassa-1186	72	1	=	=	SYM
ijassa-1186	72	2	ok−1(w1	ok−1(w1	X
ijassa-1186	72	3	)	)	PUNCT
ijassa-1186	73	1	+	+	PUNCT
ijassa-1186	73	2	∆out	∆out	X
ijassa-1186	73	3	k	k	X
ijassa-1186	73	4	−	−	PROPN
ijassa-1186	73	5	1	1	NUM
ijassa-1186	74	1	+	+	CCONJ
ijassa-1186	74	2	∆outn(k	∆outn(k	NOUN
ijassa-1186	74	3	−	−	PROPN
ijassa-1186	74	4	1	1	NUM
ijassa-1186	74	5	)	)	PUNCT
ijassa-1186	74	6	·	·	PUNCT
ijassa-1186	74	7	ik−1(w2	ik−1(w2	X
ijassa-1186	74	8	)	)	PUNCT
ijassa-1186	74	9	+	+	NUM
ijassa-1186	74	10	∆in	∆in	PROPN
ijassa-1186	74	11	k	k	NOUN
ijassa-1186	75	1	−	−	PROPN
ijassa-1186	76	1	1	1	NUM
ijassa-1186	77	1	+	+	CCONJ
ijassa-1186	77	2	∆inn(k	∆inn(k	NOUN
ijassa-1186	77	3	−	−	NOUN
ijassa-1186	77	4	1	1	NUM
ijassa-1186	77	5	)	)	PUNCT
ijassa-1186	77	6	and	and	CCONJ
ijassa-1186	77	7	a	a	DET
ijassa-1186	77	8	new	new	ADJ
ijassa-1186	77	9	edge	edge	NOUN
ijassa-1186	77	10	(	(	PUNCT
ijassa-1186	77	11	w1	w1	NOUN
ijassa-1186	77	12	→	→	SYM
ijassa-1186	77	13	w2	w2	NOUN
ijassa-1186	77	14	)	)	PUNCT
ijassa-1186	77	15	is	be	AUX
ijassa-1186	77	16	appended	append	VERB
ijassa-1186	77	17	with	with	ADP
ijassa-1186	77	18	probability	probability	NOUN
ijassa-1186	77	19	β	β	NOUN
ijassa-1186	77	20	.	.	NOUN
ijassa-1186	77	21	•	•	NUM
ijassa-1186	77	22	by	by	ADP
ijassa-1186	77	23	the	the	DET
ijassa-1186	77	24	γ	γ	PROPN
ijassa-1186	77	25	−	−	PROPN
ijassa-1186	77	26	scheme	scheme	NOUN
ijassa-1186	77	27	the	the	DET
ijassa-1186	77	28	existing	exist	VERB
ijassa-1186	77	29	node	node	NOUN
ijassa-1186	77	30	w	w	PROPN
ijassa-1186	77	31	∈	∈	PROPN
ijassa-1186	77	32	v	v	X
ijassa-1186	77	33	(	(	PUNCT
ijassa-1186	77	34	k	k	NOUN
ijassa-1186	77	35	−	−	PROPN
ijassa-1186	77	36	1	1	NUM
ijassa-1186	77	37	)	)	PUNCT
ijassa-1186	77	38	is	be	AUX
ijassa-1186	77	39	chosen	choose	VERB
ijassa-1186	77	40	with	with	ADP
ijassa-1186	77	41	probability	probability	NOUN
ijassa-1186	77	42	p	p	X
ijassa-1186	77	43	(	(	PUNCT
ijassa-1186	77	44	choose	choose	VERB
ijassa-1186	77	45	w	w	PROPN
ijassa-1186	77	46	∈	∈	PROPN
ijassa-1186	77	47	v	v	NOUN
ijassa-1186	77	48	(	(	PUNCT
ijassa-1186	77	49	k	k	NOUN
ijassa-1186	77	50	−	−	PROPN
ijassa-1186	77	51	1	1	NUM
ijassa-1186	77	52	)	)	PUNCT
ijassa-1186	77	53	)	)	PUNCT
ijassa-1186	78	1	=	=	SYM
ijassa-1186	78	2	ok−1(w	ok−1(w	NOUN
ijassa-1186	78	3	)	)	PUNCT
ijassa-1186	78	4	+	+	PUNCT
ijassa-1186	78	5	∆out	∆out	X
ijassa-1186	79	1	k	k	X
ijassa-1186	79	2	−	−	PROPN
ijassa-1186	79	3	1	1	NUM
ijassa-1186	80	1	+	+	CCONJ
ijassa-1186	80	2	∆outn(k	∆outn(k	NOUN
ijassa-1186	80	3	−	−	NOUN
ijassa-1186	80	4	1	1	NUM
ijassa-1186	80	5	)	)	PUNCT
ijassa-1186	80	6	,	,	PUNCT
ijassa-1186	80	7	and	and	CCONJ
ijassa-1186	80	8	an	an	DET
ijassa-1186	80	9	edge	edge	NOUN
ijassa-1186	80	10	(	(	PUNCT
ijassa-1186	80	11	w	w	NOUN
ijassa-1186	80	12	→	→	SYM
ijassa-1186	80	13	wnew	wnew	NOUN
ijassa-1186	80	14	)	)	PUNCT
ijassa-1186	80	15	is	be	AUX
ijassa-1186	80	16	appended	append	VERB
ijassa-1186	80	17	with	with	ADP
ijassa-1186	80	18	probability	probability	NOUN
ijassa-1186	80	19	γ	γ	NOUN
ijassa-1186	80	20	.	.	PUNCT
ijassa-1186	81	1	this	this	DET
ijassa-1186	81	2	algorithm	algorithm	NOUN
ijassa-1186	81	3	implies	imply	VERB
ijassa-1186	81	4	that	that	SCONJ
ijassa-1186	81	5	n(k	n(k	PROPN
ijassa-1186	81	6	)	)	PUNCT
ijassa-1186	82	1	=	=	VERB
ijassa-1186	82	2	n(k	n(k	PROPN
ijassa-1186	82	3	−	−	NOUN
ijassa-1186	82	4	1	1	NUM
ijassa-1186	82	5	)	)	PUNCT
ijassa-1186	82	6	for	for	ADP
ijassa-1186	82	7	β	β	NOUN
ijassa-1186	82	8	-	-	NOUN
ijassa-1186	82	9	scheme	scheme	NOUN
ijassa-1186	82	10	and	and	CCONJ
ijassa-1186	82	11	n(k	n(k	PROPN
ijassa-1186	82	12	)	)	PUNCT
ijassa-1186	83	1	=	=	VERB
ijassa-1186	83	2	n(k	n(k	PROPN
ijassa-1186	83	3	−	−	NOUN
ijassa-1186	83	4	1	1	NUM
ijassa-1186	83	5	)	)	PUNCT
ijassa-1186	83	6	+	+	CCONJ
ijassa-1186	83	7	1	1	NUM
ijassa-1186	83	8	for	for	ADP
ijassa-1186	83	9	the	the	DET
ijassa-1186	83	10	others	other	NOUN
ijassa-1186	83	11	.	.	PUNCT
ijassa-1186	84	1	these	these	DET
ijassa-1186	84	2	scenarios	scenario	NOUN
ijassa-1186	84	3	realize	realize	VERB
ijassa-1186	84	4	a	a	DET
ijassa-1186	84	5	’	'	PUNCT
ijassa-1186	84	6	rich	rich	ADJ
ijassa-1186	84	7	-	-	PUNCT
ijassa-1186	84	8	get	get	NOUN
ijassa-1186	84	9	-	-	PUNCT
ijassa-1186	84	10	richer	rich	ADJ
ijassa-1186	84	11	’	'	PUNCT
ijassa-1186	84	12	mechanism	mechanism	NOUN
ijassa-1186	84	13	,	,	PUNCT
ijassa-1186	84	14	when	when	SCONJ
ijassa-1186	84	15	a	a	DET
ijassa-1186	84	16	node	node	NOUN
ijassa-1186	84	17	with	with	ADP
ijassa-1186	84	18	a	a	DET
ijassa-1186	84	19	large	large	ADJ
ijassa-1186	84	20	number	number	NOUN
ijassa-1186	84	21	of	of	ADP
ijassa-1186	84	22	in-/outedges	in-/outedge	NOUN
ijassa-1186	84	23	can	can	AUX
ijassa-1186	84	24	likely	likely	ADV
ijassa-1186	84	25	increase	increase	VERB
ijassa-1186	84	26	them	they	PRON
ijassa-1186	84	27	with	with	ADP
ijassa-1186	84	28	a	a	DET
ijassa-1186	84	29	high	high	ADJ
ijassa-1186	84	30	probability	probability	NOUN
ijassa-1186	84	31	.	.	PUNCT
ijassa-1186	85	1	as	as	SCONJ
ijassa-1186	85	2	mentioned	mention	VERB
ijassa-1186	85	3	in	in	ADP
ijassa-1186	85	4	[	[	X
ijassa-1186	85	5	3	3	NUM
ijassa-1186	85	6	]	]	PUNCT
ijassa-1186	85	7	,	,	PUNCT
ijassa-1186	85	8	such	such	ADJ
ijassa-1186	85	9	model	model	NOUN
ijassa-1186	85	10	can	can	AUX
ijassa-1186	85	11	create	create	VERB
ijassa-1186	85	12	multiple	multiple	ADJ
ijassa-1186	85	13	edges	edge	NOUN
ijassa-1186	85	14	between	between	ADP
ijassa-1186	85	15	pairs	pair	NOUN
ijassa-1186	85	16	of	of	ADP
ijassa-1186	85	17	nodes	node	NOUN
ijassa-1186	85	18	and	and	CCONJ
ijassa-1186	85	19	self	self	NOUN
ijassa-1186	85	20	loops	loop	NOUN
ijassa-1186	85	21	.	.	PUNCT
ijassa-1186	86	1	the	the	DET
ijassa-1186	86	2	parameters	parameter	NOUN
ijassa-1186	86	3	∆in	∆in	PROPN
ijassa-1186	86	4	and	and	CCONJ
ijassa-1186	86	5	∆out	∆out	PROPN
ijassa-1186	86	6	may	may	AUX
ijassa-1186	86	7	be	be	AUX
ijassa-1186	86	8	estimated	estimate	VERB
ijassa-1186	86	9	by	by	ADP
ijassa-1186	86	10	the	the	DET
ijassa-1186	86	11	semi	semi	ADJ
ijassa-1186	86	12	-	-	ADJ
ijassa-1186	86	13	parametric	parametric	ADJ
ijassa-1186	86	14	extreme	extreme	ADJ
ijassa-1186	86	15	value	value	NOUN
ijassa-1186	86	16	method	method	NOUN
ijassa-1186	86	17	(	(	PUNCT
ijassa-1186	86	18	ev	ev	NOUN
ijassa-1186	86	19	)	)	PUNCT
ijassa-1186	86	20	based	base	VERB
ijassa-1186	86	21	on	on	ADP
ijassa-1186	86	22	the	the	DET
ijassa-1186	86	23	maximum	maximum	ADJ
ijassa-1186	86	24	-	-	PUNCT
ijassa-1186	86	25	likelihood	likelihood	NOUN
ijassa-1186	86	26	method	method	NOUN
ijassa-1186	86	27	or	or	CCONJ
ijassa-1186	86	28	by	by	ADP
ijassa-1186	86	29	the	the	DET
ijassa-1186	86	30	snapshot	snapshot	PROPN
ijassa-1186	86	31	(	(	PUNCT
ijassa-1186	86	32	sn	sn	NOUN
ijassa-1186	86	33	)	)	PUNCT
ijassa-1186	86	34	method	method	NOUN
ijassa-1186	86	35	proposed	propose	VERB
ijassa-1186	86	36	in	in	ADP
ijassa-1186	86	37	[	[	X
ijassa-1186	86	38	8	8	NUM
ijassa-1186	86	39	]	]	PUNCT
ijassa-1186	86	40	.	.	PUNCT
ijassa-1186	87	1	the	the	DET
ijassa-1186	87	2	latter	latter	ADJ
ijassa-1186	87	3	is	be	AUX
ijassa-1186	87	4	summarized	summarize	VERB
ijassa-1186	87	5	in	in	ADP
ijassa-1186	87	6	algorithm	algorithm	NOUN
ijassa-1186	87	7	3	3	NUM
ijassa-1186	87	8	.	.	PUNCT
ijassa-1186	88	1	the	the	DET
ijassa-1186	88	2	snapshot	snapshot	NOUN
ijassa-1186	88	3	graph	graph	NOUN
ijassa-1186	88	4	g(n	g(n	NOUN
ijassa-1186	88	5	)	)	PUNCT
ijassa-1186	88	6	=	=	PUNCT
ijassa-1186	88	7	(	(	PUNCT
ijassa-1186	88	8	n(n	n(n	NOUN
ijassa-1186	88	9	)	)	PUNCT
ijassa-1186	88	10	,	,	PUNCT
ijassa-1186	88	11	e(n	e(n	PROPN
ijassa-1186	88	12	)	)	PUNCT
ijassa-1186	88	13	)	)	PUNCT
ijassa-1186	88	14	represents	represent	VERB
ijassa-1186	88	15	a	a	DET
ijassa-1186	88	16	point	point	NOUN
ijassa-1186	88	17	in	in	ADP
ijassa-1186	88	18	time	time	NOUN
ijassa-1186	88	19	when	when	SCONJ
ijassa-1186	88	20	the	the	DET
ijassa-1186	88	21	data	datum	NOUN
ijassa-1186	88	22	about	about	ADP
ijassa-1186	88	23	the	the	DET
ijassa-1186	88	24	graph	graph	NOUN
ijassa-1186	88	25	are	be	AUX
ijassa-1186	88	26	available	available	ADJ
ijassa-1186	88	27	.	.	PUNCT
ijassa-1186	89	1	copyright	copyright	NOUN
ijassa-1186	89	2	©	©	ADP
ijassa-1186	89	3	2022	2022	NUM
ijassa-1186	89	4	assa	assa	NOUN
ijassa-1186	89	5	.	.	PUNCT
ijassa-1186	90	1	adv	adv	PROPN
ijassa-1186	90	2	syst	syst	PROPN
ijassa-1186	90	3	sci	sci	PROPN
ijassa-1186	90	4	appl	appl	PROPN
ijassa-1186	90	5	(	(	PUNCT
ijassa-1186	90	6	2022	2022	NUM
ijassa-1186	90	7	)	)	PUNCT
ijassa-1186	90	8	24	24	NUM
ijassa-1186	90	9	n.	n.	NOUN
ijassa-1186	90	10	m.	m.	NOUN
ijassa-1186	90	11	markovich	markovich	PROPN
ijassa-1186	90	12	,	,	PUNCT
ijassa-1186	90	13	m.	m.	PROPN
ijassa-1186	90	14	s.	s.	PROPN
ijassa-1186	90	15	ryzhov	ryzhov	PROPN
ijassa-1186	90	16	algorithm	algorithm	PROPN
ijassa-1186	90	17	3	3	NUM
ijassa-1186	90	18	snapshot	snapshot	NOUN
ijassa-1186	90	19	method	method	NOUN
ijassa-1186	90	20	1	1	NUM
ijassa-1186	90	21	.	.	PUNCT
ijassa-1186	90	22	let	let	VERB
ijassa-1186	90	23	us	we	PRON
ijassa-1186	90	24	estimate	estimate	VERB
ijassa-1186	90	25	β̂sn	β̂sn	NOUN
ijassa-1186	90	26	=	=	SYM
ijassa-1186	90	27	1−n(n)/v	1−n(n)/v	PROPN
ijassa-1186	90	28	,	,	PUNCT
ijassa-1186	90	29	where	where	SCONJ
ijassa-1186	90	30	v	v	NOUN
ijassa-1186	90	31	=	=	SYM
ijassa-1186	90	32	|e(n)|	|e(n)|	PROPN
ijassa-1186	90	33	.	.	PROPN
ijassa-1186	91	1	we	we	PRON
ijassa-1186	91	2	obtain	obtain	VERB
ijassa-1186	91	3	∆̂0	∆̂0	PUNCT
ijassa-1186	91	4	in	in	ADP
ijassa-1186	91	5	and	and	CCONJ
ijassa-1186	91	6	∆̂0	∆̂0	X
ijassa-1186	91	7	out	out	ADP
ijassa-1186	91	8	by	by	ADP
ijassa-1186	91	9	solving	solve	VERB
ijassa-1186	91	10	the	the	DET
ijassa-1186	91	11	equations	equation	NOUN
ijassa-1186	91	12	∞∑	∞∑	NUM
ijassa-1186	91	13	l=1	l=1	NOUN
ijassa-1186	91	14	n	n	CCONJ
ijassa-1186	91	15	in	in	ADP
ijassa-1186	91	16	>	>	X
ijassa-1186	91	17	l	l	NOUN
ijassa-1186	91	18	v	v	NUM
ijassa-1186	91	19	l	l	NOUN
ijassa-1186	91	20	l	l	NOUN
ijassa-1186	92	1	+	+	CCONJ
ijassa-1186	92	2	∆̂0	∆̂0	X
ijassa-1186	92	3	in	in	ADP
ijassa-1186	92	4	(	(	PUNCT
ijassa-1186	92	5	1	1	NUM
ijassa-1186	92	6	+	+	CCONJ
ijassa-1186	92	7	∆̂0	∆̂0	X
ijassa-1186	92	8	in(1−	in(1−	ADJ
ijassa-1186	92	9	β̂sn	β̂sn	NOUN
ijassa-1186	92	10	)	)	PUNCT
ijassa-1186	92	11	)	)	PUNCT
ijassa-1186	92	12	=	=	SYM
ijassa-1186	93	1	n	n	CCONJ
ijassa-1186	93	2	in	in	ADP
ijassa-1186	93	3	0	0	NUM
ijassa-1186	93	4	v	v	NOUN
ijassa-1186	93	5	+	+	CCONJ
ijassa-1186	93	6	β̂sn	β̂sn	NOUN
ijassa-1186	93	7	1−	1−	NUM
ijassa-1186	93	8	n	n	NOUN
ijassa-1186	93	9	in	in	ADP
ijassa-1186	93	10	0	0	NUM
ijassa-1186	93	11	n	n	CCONJ
ijassa-1186	93	12	∆̂0	∆̂0	PROPN
ijassa-1186	93	13	in	in	ADP
ijassa-1186	93	14	1+(1−β̂sn	1+(1−β̂sn	NUM
ijassa-1186	93	15	)	)	PUNCT
ijassa-1186	93	16	∆̂0	∆̂0	X
ijassa-1186	93	17	in	in	ADV
ijassa-1186	93	18	,	,	PUNCT
ijassa-1186	93	19	∞∑	∞∑	NUM
ijassa-1186	93	20	l=1	l=1	NOUN
ijassa-1186	93	21	n	n	CCONJ
ijassa-1186	93	22	out	out	ADP
ijassa-1186	93	23	>	>	X
ijassa-1186	93	24	l	l	NOUN
ijassa-1186	93	25	v	v	ADP
ijassa-1186	93	26	l	l	NOUN
ijassa-1186	93	27	l	l	NOUN
ijassa-1186	94	1	+	+	CCONJ
ijassa-1186	94	2	∆̂0	∆̂0	X
ijassa-1186	94	3	out	out	ADV
ijassa-1186	94	4	(	(	PUNCT
ijassa-1186	94	5	1	1	NUM
ijassa-1186	94	6	+	+	CCONJ
ijassa-1186	94	7	∆̂0	∆̂0	PROPN
ijassa-1186	94	8	out(1−	out(1−	PROPN
ijassa-1186	94	9	β̂sn	β̂sn	NOUN
ijassa-1186	94	10	)	)	PUNCT
ijassa-1186	94	11	)	)	PUNCT
ijassa-1186	95	1	=	=	PRON
ijassa-1186	95	2	nout	nout	VERB
ijassa-1186	95	3	0	0	NUM
ijassa-1186	95	4	v	v	NOUN
ijassa-1186	95	5	+	+	PROPN
ijassa-1186	95	6	β̂sn	β̂sn	NOUN
ijassa-1186	95	7	1−	1−	NUM
ijassa-1186	95	8	nout	nout	VERB
ijassa-1186	95	9	0	0	NUM
ijassa-1186	95	10	n	n	CCONJ
ijassa-1186	95	11	∆̂0	∆̂0	X
ijassa-1186	95	12	out	out	ADP
ijassa-1186	95	13	1+(1−β̂sn	1+(1−β̂sn	NUM
ijassa-1186	95	14	)	)	PUNCT
ijassa-1186	95	15	∆̂0	∆̂0	PROPN
ijassa-1186	95	16	out	out	ADV
ijassa-1186	95	17	,	,	PUNCT
ijassa-1186	95	18	where	where	SCONJ
ijassa-1186	95	19	n	n	X
ijassa-1186	95	20	in	in	ADP
ijassa-1186	95	21	l	l	PROPN
ijassa-1186	95	22	and	and	CCONJ
ijassa-1186	95	23	n	n	PRON
ijassa-1186	95	24	out	out	ADP
ijassa-1186	95	25	l	l	NOUN
ijassa-1186	95	26	are	be	AUX
ijassa-1186	95	27	the	the	DET
ijassa-1186	95	28	number	number	NOUN
ijassa-1186	95	29	of	of	ADP
ijassa-1186	95	30	nodes	node	NOUN
ijassa-1186	95	31	with	with	ADP
ijassa-1186	95	32	inand	inand	ADJ
ijassa-1186	95	33	out	out	ADP
ijassa-1186	95	34	-	-	PUNCT
ijassa-1186	95	35	degree	degree	NOUN
ijassa-1186	95	36	equal	equal	ADJ
ijassa-1186	95	37	to	to	ADP
ijassa-1186	95	38	l	l	NOUN
ijassa-1186	95	39	,	,	PUNCT
ijassa-1186	95	40	and	and	CCONJ
ijassa-1186	95	41	thus	thus	ADV
ijassa-1186	95	42	,	,	PUNCT
ijassa-1186	95	43	n	n	CCONJ
ijassa-1186	95	44	in	in	ADP
ijassa-1186	95	45	>	>	X
ijassa-1186	95	46	l	l	NOUN
ijassa-1186	95	47	=	=	PUNCT
ijassa-1186	95	48	∑	∑	PUNCT
ijassa-1186	95	49	l′>l	l′>l	PROPN
ijassa-1186	95	50	n	n	PROPN
ijassa-1186	95	51	in	in	ADP
ijassa-1186	95	52	l′	l′	PROPN
ijassa-1186	95	53	,	,	PUNCT
ijassa-1186	95	54	n	n	CCONJ
ijassa-1186	95	55	out	out	ADP
ijassa-1186	95	56	>	>	X
ijassa-1186	95	57	l	l	NOUN
ijassa-1186	96	1	=	=	PUNCT
ijassa-1186	96	2	∑	∑	PUNCT
ijassa-1186	96	3	l′>l	l′>l	PROPN
ijassa-1186	96	4	n	n	NOUN
ijassa-1186	96	5	out	out	ADV
ijassa-1186	96	6	l′	l′	NOUN
ijassa-1186	96	7	are	be	AUX
ijassa-1186	96	8	the	the	DET
ijassa-1186	96	9	number	number	NOUN
ijassa-1186	96	10	of	of	ADP
ijassa-1186	96	11	nodes	node	NOUN
ijassa-1186	96	12	with	with	ADP
ijassa-1186	96	13	inand	inand	ADJ
ijassa-1186	96	14	out	out	ADP
ijassa-1186	96	15	-	-	PUNCT
ijassa-1186	96	16	degree	degree	NOUN
ijassa-1186	96	17	larger	large	ADJ
ijassa-1186	96	18	than	than	ADP
ijassa-1186	96	19	l.	l.	PROPN
ijassa-1186	96	20	2	2	NUM
ijassa-1186	96	21	.	.	NUM
ijassa-1186	96	22	estimate	estimate	NOUN
ijassa-1186	96	23	α̂0	α̂0	ADJ
ijassa-1186	96	24	and	and	CCONJ
ijassa-1186	96	25	γ̂0	γ̂0	PROPN
ijassa-1186	96	26	by	by	ADP
ijassa-1186	96	27	α̂0	α̂0	NOUN
ijassa-1186	96	28	=	=	SYM
ijassa-1186	96	29	n	n	CCONJ
ijassa-1186	96	30	in	in	ADP
ijassa-1186	96	31	0	0	NUM
ijassa-1186	96	32	v	v	NOUN
ijassa-1186	96	33	+	+	CCONJ
ijassa-1186	96	34	β̂sn	β̂sn	NOUN
ijassa-1186	96	35	1−	1−	NUM
ijassa-1186	96	36	n	n	NOUN
ijassa-1186	96	37	in	in	ADP
ijassa-1186	96	38	0	0	NUM
ijassa-1186	96	39	v	v	NOUN
ijassa-1186	96	40	∆̂0	∆̂0	PROPN
ijassa-1186	96	41	in	in	ADP
ijassa-1186	96	42	1+(1−β̂sn	1+(1−β̂sn	NUM
ijassa-1186	96	43	)	)	PUNCT
ijassa-1186	96	44	∆̂0	∆̂0	PROPN
ijassa-1186	97	1	in	in	ADP
ijassa-1186	97	2	−	−	PROPN
ijassa-1186	97	3	β̂sn	β̂sn	NOUN
ijassa-1186	97	4	,	,	PUNCT
ijassa-1186	97	5	γ̂0	γ̂0	PUNCT
ijassa-1186	97	6	=	=	PRON
ijassa-1186	97	7	nout	nout	VERB
ijassa-1186	97	8	0	0	NUM
ijassa-1186	97	9	v	v	NOUN
ijassa-1186	97	10	+	+	PROPN
ijassa-1186	97	11	β̂sn	β̂sn	NOUN
ijassa-1186	97	12	1−	1−	NUM
ijassa-1186	97	13	nout	nout	VERB
ijassa-1186	97	14	0	0	NUM
ijassa-1186	97	15	v	v	ADP
ijassa-1186	97	16	∆̂0	∆̂0	PROPN
ijassa-1186	97	17	out	out	ADP
ijassa-1186	97	18	1+(1−β̂sn	1+(1−β̂sn	NUM
ijassa-1186	97	19	)	)	PUNCT
ijassa-1186	98	1	∆̂0	∆̂0	PROPN
ijassa-1186	98	2	out	out	ADV
ijassa-1186	98	3	−	−	NOUN
ijassa-1186	98	4	β̂sn	β̂sn	NOUN
ijassa-1186	98	5	.	.	PUNCT
ijassa-1186	99	1	3	3	X
ijassa-1186	99	2	.	.	X
ijassa-1186	99	3	re	re	VERB
ijassa-1186	99	4	-	-	VERB
ijassa-1186	99	5	normalize	normalize	VERB
ijassa-1186	99	6	the	the	DET
ijassa-1186	99	7	probabilities	probability	NOUN
ijassa-1186	99	8	(	(	PUNCT
ijassa-1186	99	9	α̂sn	α̂sn	NOUN
ijassa-1186	99	10	,	,	PUNCT
ijassa-1186	99	11	β̂sn	β̂sn	NOUN
ijassa-1186	99	12	,	,	PUNCT
ijassa-1186	99	13	γ̂sn	γ̂sn	NOUN
ijassa-1186	99	14	)	)	PUNCT
ijassa-1186	99	15	=	=	SYM
ijassa-1186	99	16	(	(	PUNCT
ijassa-1186	99	17	α̂	α̂	NUM
ijassa-1186	99	18	0(1−β̂sn	0(1−β̂sn	NOUN
ijassa-1186	99	19	)	)	PUNCT
ijassa-1186	100	1	α̂0+γ̂0	α̂0+γ̂0	NOUN
ijassa-1186	100	2	,	,	PUNCT
ijassa-1186	100	3	β̂sn	β̂sn	NOUN
ijassa-1186	100	4	,	,	PUNCT
ijassa-1186	100	5	γ̂	γ̂	NUM
ijassa-1186	100	6	0(1−β̂sn	0(1−β̂sn	NOUN
ijassa-1186	100	7	)	)	PUNCT
ijassa-1186	101	1	α̂0+γ̂0	α̂0+γ̂0	NOUN
ijassa-1186	101	2	)	)	PUNCT
ijassa-1186	101	3	.	.	PUNCT
ijassa-1186	102	1	obtain	obtain	VERB
ijassa-1186	102	2	∆̂sn	∆̂sn	NOUN
ijassa-1186	102	3	in	in	ADP
ijassa-1186	102	4	and	and	CCONJ
ijassa-1186	102	5	∆̂sn	∆̂sn	NOUN
ijassa-1186	102	6	out	out	ADP
ijassa-1186	102	7	by	by	ADP
ijassa-1186	102	8	solving	solve	VERB
ijassa-1186	102	9	equations	equation	NOUN
ijassa-1186	102	10	∞∑	∞∑	NUM
ijassa-1186	102	11	l=0	l=0	PROPN
ijassa-1186	102	12	n	n	CCONJ
ijassa-1186	102	13	in	in	ADP
ijassa-1186	102	14	>	>	ADJ
ijassa-1186	102	15	l	l	NOUN
ijassa-1186	102	16	/	/	SYM
ijassa-1186	102	17	v	v	NOUN
ijassa-1186	102	18	l	l	NOUN
ijassa-1186	102	19	+	+	ADP
ijassa-1186	102	20	∆̂sn	∆̂sn	NOUN
ijassa-1186	102	21	in	in	ADP
ijassa-1186	102	22	−	−	PROPN
ijassa-1186	102	23	1−	1−	NUM
ijassa-1186	102	24	α̂sn	α̂sn	NOUN
ijassa-1186	102	25	−	−	NOUN
ijassa-1186	102	26	β̂sn	β̂sn	NOUN
ijassa-1186	102	27	∆̂sn	∆̂sn	NOUN
ijassa-1186	102	28	in	in	ADP
ijassa-1186	102	29	−	−	PROPN
ijassa-1186	102	30	(	(	PUNCT
ijassa-1186	102	31	α̂sn	α̂sn	NOUN
ijassa-1186	102	32	+	+	CCONJ
ijassa-1186	102	33	β̂sn)(1−	β̂sn)(1−	ADJ
ijassa-1186	102	34	β̂sn	β̂sn	NOUN
ijassa-1186	102	35	)	)	PUNCT
ijassa-1186	102	36	1	1	NUM
ijassa-1186	103	1	+	+	CCONJ
ijassa-1186	103	2	(	(	PUNCT
ijassa-1186	103	3	1−	1−	NUM
ijassa-1186	103	4	β̂sn)∆̂sn	β̂sn)∆̂sn	NOUN
ijassa-1186	103	5	in	in	ADP
ijassa-1186	103	6	=	=	NOUN
ijassa-1186	103	7	0	0	NUM
ijassa-1186	103	8	,	,	PUNCT
ijassa-1186	103	9	∞∑	∞∑	NUM
ijassa-1186	103	10	l=0	l=0	PROPN
ijassa-1186	103	11	n	n	CCONJ
ijassa-1186	103	12	out	out	ADP
ijassa-1186	103	13	>	>	PUNCT
ijassa-1186	103	14	l	l	NOUN
ijassa-1186	103	15	/v	/v	PUNCT
ijassa-1186	104	1	l	l	NOUN
ijassa-1186	104	2	+	+	NUM
ijassa-1186	104	3	∆̂sn	∆̂sn	NOUN
ijassa-1186	104	4	out	out	ADP
ijassa-1186	104	5	−	−	PROPN
ijassa-1186	104	6	1−	1−	NUM
ijassa-1186	104	7	γ̂sn	γ̂sn	NOUN
ijassa-1186	104	8	−	−	NOUN
ijassa-1186	104	9	β̂sn	β̂sn	NOUN
ijassa-1186	104	10	∆̂sn	∆̂sn	NOUN
ijassa-1186	104	11	out	out	ADV
ijassa-1186	104	12	−	−	PROPN
ijassa-1186	104	13	(	(	PUNCT
ijassa-1186	104	14	γ̂sn	γ̂sn	NOUN
ijassa-1186	104	15	+	+	CCONJ
ijassa-1186	104	16	β̂sn)(1−	β̂sn)(1−	ADJ
ijassa-1186	104	17	β̂sn	β̂sn	NOUN
ijassa-1186	104	18	)	)	PUNCT
ijassa-1186	104	19	1	1	NUM
ijassa-1186	105	1	+	+	CCONJ
ijassa-1186	105	2	(	(	PUNCT
ijassa-1186	105	3	1−	1−	NUM
ijassa-1186	105	4	β̂sn)∆̂sn	β̂sn)∆̂sn	NOUN
ijassa-1186	105	5	out	out	ADP
ijassa-1186	105	6	=	=	SYM
ijassa-1186	105	7	0	0	NUM
ijassa-1186	105	8	.	.	NOUN
ijassa-1186	106	1	2.3	2.3	NUM
ijassa-1186	106	2	.	.	PUNCT
ijassa-1186	107	1	tail	tail	NOUN
ijassa-1186	107	2	index	index	NOUN
ijassa-1186	107	3	let	let	VERB
ijassa-1186	107	4	{	{	PUNCT
ijassa-1186	107	5	xn}n≥1	xn}n≥1	PRON
ijassa-1186	107	6	be	be	AUX
ijassa-1186	107	7	a	a	DET
ijassa-1186	107	8	stationary	stationary	ADJ
ijassa-1186	107	9	sequence	sequence	NOUN
ijassa-1186	107	10	of	of	ADP
ijassa-1186	107	11	independent	independent	ADJ
ijassa-1186	107	12	identically	identically	ADV
ijassa-1186	107	13	distributed	distribute	VERB
ijassa-1186	107	14	(	(	PUNCT
ijassa-1186	107	15	i.i.d	i.i.d	ADJ
ijassa-1186	107	16	)	)	PUNCT
ijassa-1186	107	17	random	random	ADJ
ijassa-1186	107	18	variables	variable	NOUN
ijassa-1186	107	19	(	(	PUNCT
ijassa-1186	107	20	r.v.s	r.v.s	NOUN
ijassa-1186	107	21	)	)	PUNCT
ijassa-1186	107	22	with	with	ADP
ijassa-1186	107	23	distribution	distribution	NOUN
ijassa-1186	107	24	function	function	NOUN
ijassa-1186	107	25	(	(	PUNCT
ijassa-1186	107	26	df	df	PROPN
ijassa-1186	107	27	)	)	PUNCT
ijassa-1186	107	28	f	f	NOUN
ijassa-1186	107	29	(	(	PUNCT
ijassa-1186	107	30	x	x	NOUN
ijassa-1186	107	31	)	)	PUNCT
ijassa-1186	107	32	.	.	PUNCT
ijassa-1186	108	1	the	the	DET
ijassa-1186	108	2	parameter	parameter	NOUN
ijassa-1186	108	3	αti	αti	NOUN
ijassa-1186	108	4	is	be	AUX
ijassa-1186	108	5	called	call	VERB
ijassa-1186	108	6	the	the	DET
ijassa-1186	108	7	tail	tail	NOUN
ijassa-1186	108	8	index	index	NOUN
ijassa-1186	108	9	(	(	PUNCT
ijassa-1186	108	10	ti	ti	NOUN
ijassa-1186	108	11	)	)	PUNCT
ijassa-1186	108	12	.	.	PUNCT
ijassa-1186	109	1	it	it	PRON
ijassa-1186	109	2	may	may	AUX
ijassa-1186	109	3	be	be	AUX
ijassa-1186	109	4	estimated	estimate	VERB
ijassa-1186	109	5	with	with	ADP
ijassa-1186	109	6	the	the	DET
ijassa-1186	109	7	hill	hill	NOUN
ijassa-1186	109	8	’s	’s	PART
ijassa-1186	109	9	estimator	estimator	NOUN
ijassa-1186	110	1	[	[	X
ijassa-1186	110	2	9	9	NUM
ijassa-1186	110	3	]	]	PUNCT
ijassa-1186	110	4	α̂h(k	α̂h(k	PROPN
ijassa-1186	110	5	)	)	PUNCT
ijassa-1186	110	6	=	=	PUNCT
ijassa-1186	110	7	(	(	PUNCT
ijassa-1186	110	8	1	1	NUM
ijassa-1186	110	9	k	k	X
ijassa-1186	110	10	k∑	k∑	PROPN
ijassa-1186	110	11	i=1	i=1	PROPN
ijassa-1186	110	12	log	log	PROPN
ijassa-1186	110	13	(	(	PUNCT
ijassa-1186	110	14	x(n−i+1	x(n−i+1	PROPN
ijassa-1186	110	15	)	)	PUNCT
ijassa-1186	110	16	x(n−k	x(n−k	PROPN
ijassa-1186	110	17	)	)	PUNCT
ijassa-1186	110	18	)	)	PUNCT
ijassa-1186	110	19	)	)	PUNCT
ijassa-1186	110	20	−1	−1	NOUN
ijassa-1186	110	21	,	,	PUNCT
ijassa-1186	110	22	(	(	PUNCT
ijassa-1186	110	23	2.1	2.1	NUM
ijassa-1186	110	24	)	)	PUNCT
ijassa-1186	110	25	where	where	SCONJ
ijassa-1186	110	26	x(1	x(1	PROPN
ijassa-1186	110	27	)	)	PUNCT
ijassa-1186	110	28	≤	≤	PUNCT
ijassa-1186	111	1	x(2	x(2	PROPN
ijassa-1186	111	2	)	)	PUNCT
ijassa-1186	111	3	≤	≤	NOUN
ijassa-1186	111	4	...	...	PUNCT
ijassa-1186	112	1	≤	≤	NUM
ijassa-1186	112	2	x(n	x(n	NOUN
ijassa-1186	112	3	)	)	PUNCT
ijassa-1186	112	4	are	be	AUX
ijassa-1186	112	5	the	the	DET
ijassa-1186	112	6	order	order	NOUN
ijassa-1186	112	7	statistics	statistic	NOUN
ijassa-1186	112	8	corresponding	correspond	VERB
ijassa-1186	112	9	to	to	ADP
ijassa-1186	112	10	the	the	DET
ijassa-1186	112	11	sample	sample	NOUN
ijassa-1186	112	12	and	and	CCONJ
ijassa-1186	112	13	the	the	DET
ijassa-1186	112	14	parameter	parameter	NOUN
ijassa-1186	112	15	k	k	PROPN
ijassa-1186	112	16	is	be	AUX
ijassa-1186	112	17	a	a	DET
ijassa-1186	112	18	number	number	NOUN
ijassa-1186	112	19	of	of	ADP
ijassa-1186	112	20	the	the	DET
ijassa-1186	112	21	largest	large	ADJ
ijassa-1186	112	22	order	order	NOUN
ijassa-1186	112	23	statistics	statistic	NOUN
ijassa-1186	112	24	.	.	PUNCT
ijassa-1186	113	1	α̂h(k	α̂h(k	PROPN
ijassa-1186	113	2	)	)	PUNCT
ijassa-1186	113	3	is	be	AUX
ijassa-1186	113	4	derived	derive	VERB
ijassa-1186	113	5	assuming	assume	VERB
ijassa-1186	113	6	that	that	SCONJ
ijassa-1186	113	7	the	the	DET
ijassa-1186	113	8	distribution	distribution	NOUN
ijassa-1186	113	9	tail	tail	NOUN
ijassa-1186	113	10	is	be	AUX
ijassa-1186	113	11	regularly	regularly	ADV
ijassa-1186	113	12	varying	vary	VERB
ijassa-1186	113	13	with	with	ADP
ijassa-1186	113	14	the	the	DET
ijassa-1186	113	15	tail	tail	NOUN
ijassa-1186	113	16	index	index	NOUN
ijassa-1186	113	17	αti	αti	NOUN
ijassa-1186	113	18	,	,	PUNCT
ijassa-1186	113	19	i.e.	i.e.	X
ijassa-1186	113	20	f	f	X
ijassa-1186	113	21	(	(	PUNCT
ijassa-1186	113	22	x	x	X
ijassa-1186	113	23	)	)	PUNCT
ijassa-1186	113	24	=	=	SYM
ijassa-1186	113	25	p{x1	p{x1	PROPN
ijassa-1186	113	26	>	>	PUNCT
ijassa-1186	113	27	copyright	copyright	NOUN
ijassa-1186	113	28	©	©	PROPN
ijassa-1186	113	29	2022	2022	NUM
ijassa-1186	113	30	assa	assa	NOUN
ijassa-1186	113	31	.	.	PUNCT
ijassa-1186	114	1	adv	adv	PROPN
ijassa-1186	114	2	syst	syst	PROPN
ijassa-1186	114	3	sci	sci	PROPN
ijassa-1186	114	4	appl	appl	PROPN
ijassa-1186	114	5	(	(	PUNCT
ijassa-1186	114	6	2022	2022	NUM
ijassa-1186	114	7	)	)	PUNCT
ijassa-1186	114	8	information	information	NOUN
ijassa-1186	114	9	spreading	spread	VERB
ijassa-1186	114	10	and	and	CCONJ
ijassa-1186	114	11	evolution	evolution	NOUN
ijassa-1186	114	12	of	of	ADP
ijassa-1186	114	13	non	non	ADJ
ijassa-1186	114	14	-	-	ADJ
ijassa-1186	114	15	homogeneous	homogeneous	ADJ
ijassa-1186	114	16	networks	network	NOUN
ijassa-1186	114	17	25	25	NUM
ijassa-1186	114	18	x	x	NOUN
ijassa-1186	114	19	}	}	PUNCT
ijassa-1186	114	20	=	=	SYM
ijassa-1186	114	21	x−αti`(x	x−αti`(x	ADJ
ijassa-1186	114	22	)	)	PUNCT
ijassa-1186	114	23	,	,	PUNCT
ijassa-1186	114	24	where	where	SCONJ
ijassa-1186	114	25	`	`	PUNCT
ijassa-1186	114	26	(	(	PUNCT
ijassa-1186	114	27	x	x	X
ijassa-1186	114	28	)	)	PUNCT
ijassa-1186	114	29	is	be	AUX
ijassa-1186	114	30	a	a	DET
ijassa-1186	114	31	slowly	slowly	ADV
ijassa-1186	114	32	varying	vary	VERB
ijassa-1186	114	33	function	function	NOUN
ijassa-1186	114	34	.	.	PUNCT
ijassa-1186	115	1	the	the	DET
ijassa-1186	115	2	optimal	optimal	ADJ
ijassa-1186	115	3	value	value	NOUN
ijassa-1186	115	4	of	of	ADP
ijassa-1186	115	5	k	k	PROPN
ijassa-1186	115	6	may	may	AUX
ijassa-1186	115	7	be	be	AUX
ijassa-1186	115	8	obtained	obtain	VERB
ijassa-1186	115	9	by	by	ADP
ijassa-1186	115	10	a	a	DET
ijassa-1186	115	11	smoothing	smoothing	NOUN
ijassa-1186	115	12	method	method	NOUN
ijassa-1186	115	13	of	of	ADP
ijassa-1186	115	14	the	the	DET
ijassa-1186	115	15	asymptotic	asymptotic	ADJ
ijassa-1186	115	16	mean	mean	NOUN
ijassa-1186	115	17	squared	square	VERB
ijassa-1186	115	18	error	error	NOUN
ijassa-1186	115	19	of	of	ADP
ijassa-1186	115	20	the	the	DET
ijassa-1186	115	21	hill	hill	NOUN
ijassa-1186	115	22	’s	’s	PART
ijassa-1186	115	23	estimator	estimator	NOUN
ijassa-1186	115	24	(	(	PUNCT
ijassa-1186	115	25	samsee	samsee	NOUN
ijassa-1186	115	26	)	)	PUNCT
ijassa-1186	116	1	[	[	X
ijassa-1186	116	2	9	9	NUM
ijassa-1186	116	3	]	]	PUNCT
ijassa-1186	116	4	.	.	PUNCT
ijassa-1186	117	1	the	the	DET
ijassa-1186	117	2	confidence	confidence	NOUN
ijassa-1186	117	3	interval	interval	NOUN
ijassa-1186	117	4	around	around	ADP
ijassa-1186	117	5	the	the	DET
ijassa-1186	117	6	optimal	optimal	ADJ
ijassa-1186	117	7	ti	ti	NOUN
ijassa-1186	117	8	value	value	NOUN
ijassa-1186	117	9	is	be	AUX
ijassa-1186	117	10	obtained	obtain	VERB
ijassa-1186	117	11	by	by	ADP
ijassa-1186	117	12	the	the	DET
ijassa-1186	117	13	bootstrap	bootstrap	NOUN
ijassa-1186	117	14	procedure	procedure	NOUN
ijassa-1186	117	15	with	with	ADP
ijassa-1186	117	16	the	the	DET
ijassa-1186	117	17	95	95	NUM
ijassa-1186	117	18	%	%	NOUN
ijassa-1186	117	19	quantile	quantile	NOUN
ijassa-1186	117	20	.	.	PUNCT
ijassa-1186	118	1	2.4	2.4	NUM
ijassa-1186	118	2	.	.	PUNCT
ijassa-1186	118	3	test	test	NOUN
ijassa-1186	118	4	of	of	ADP
ijassa-1186	118	5	stationarity	stationarity	NOUN
ijassa-1186	118	6	the	the	DET
ijassa-1186	118	7	inhomogeneity	inhomogeneity	NOUN
ijassa-1186	118	8	is	be	AUX
ijassa-1186	118	9	one	one	NUM
ijassa-1186	118	10	of	of	ADP
ijassa-1186	118	11	the	the	DET
ijassa-1186	118	12	problems	problem	NOUN
ijassa-1186	118	13	of	of	ADP
ijassa-1186	118	14	the	the	DET
ijassa-1186	118	15	statistical	statistical	ADJ
ijassa-1186	118	16	analysis	analysis	NOUN
ijassa-1186	118	17	of	of	ADP
ijassa-1186	118	18	graphs	graph	NOUN
ijassa-1186	118	19	.	.	PUNCT
ijassa-1186	119	1	this	this	PRON
ijassa-1186	119	2	means	mean	VERB
ijassa-1186	119	3	that	that	SCONJ
ijassa-1186	119	4	the	the	DET
ijassa-1186	119	5	heaviness	heaviness	NOUN
ijassa-1186	119	6	of	of	ADP
ijassa-1186	119	7	the	the	DET
ijassa-1186	119	8	power	power	NOUN
ijassa-1186	119	9	law	law	NOUN
ijassa-1186	119	10	tail	tail	NOUN
ijassa-1186	119	11	distributions	distribution	NOUN
ijassa-1186	119	12	of	of	ADP
ijassa-1186	119	13	node	node	ADJ
ijassa-1186	119	14	characteristics	characteristic	NOUN
ijassa-1186	119	15	,	,	PUNCT
ijassa-1186	119	16	like	like	ADP
ijassa-1186	119	17	inand	inand	NOUN
ijassa-1186	119	18	outdegrees	outdegree	NOUN
ijassa-1186	119	19	and	and	CCONJ
ijassa-1186	119	20	pageranks	pagerank	NOUN
ijassa-1186	119	21	may	may	AUX
ijassa-1186	119	22	be	be	AUX
ijassa-1186	119	23	different	different	ADJ
ijassa-1186	119	24	within	within	ADP
ijassa-1186	119	25	the	the	DET
ijassa-1186	119	26	graph	graph	NOUN
ijassa-1186	119	27	or	or	CCONJ
ijassa-1186	119	28	its	its	PRON
ijassa-1186	119	29	communities	community	NOUN
ijassa-1186	119	30	.	.	PUNCT
ijassa-1186	120	1	to	to	ADP
ijassa-1186	120	2	our	our	PRON
ijassa-1186	120	3	best	good	ADJ
ijassa-1186	120	4	knowledge	knowledge	NOUN
ijassa-1186	120	5	,	,	PUNCT
ijassa-1186	120	6	there	there	PRON
ijassa-1186	120	7	are	be	VERB
ijassa-1186	120	8	no	no	DET
ijassa-1186	120	9	stationarity	stationarity	NOUN
ijassa-1186	120	10	tests	test	NOUN
ijassa-1186	120	11	for	for	ADP
ijassa-1186	120	12	graphs	graph	NOUN
ijassa-1186	120	13	since	since	SCONJ
ijassa-1186	120	14	there	there	PRON
ijassa-1186	120	15	is	be	VERB
ijassa-1186	120	16	no	no	DET
ijassa-1186	120	17	numeration	numeration	NOUN
ijassa-1186	120	18	of	of	ADP
ijassa-1186	120	19	nodes	node	NOUN
ijassa-1186	120	20	in	in	ADP
ijassa-1186	120	21	the	the	DET
ijassa-1186	120	22	graphs	graph	NOUN
ijassa-1186	120	23	.	.	PUNCT
ijassa-1186	121	1	such	such	DET
ijassa-1186	121	2	a	a	DET
ijassa-1186	121	3	numeration	numeration	NOUN
ijassa-1186	121	4	may	may	AUX
ijassa-1186	121	5	be	be	AUX
ijassa-1186	121	6	determined	determine	VERB
ijassa-1186	121	7	by	by	ADP
ijassa-1186	121	8	random	random	ADJ
ijassa-1186	121	9	walks	walk	NOUN
ijassa-1186	121	10	used	use	VERB
ijassa-1186	121	11	in	in	ADP
ijassa-1186	121	12	graphs	graph	NOUN
ijassa-1186	121	13	as	as	ADP
ijassa-1186	121	14	sample	sample	NOUN
ijassa-1186	121	15	tools	tool	NOUN
ijassa-1186	121	16	.	.	PUNCT
ijassa-1186	122	1	at	at	ADP
ijassa-1186	122	2	the	the	DET
ijassa-1186	122	3	same	same	ADJ
ijassa-1186	122	4	time	time	NOUN
ijassa-1186	122	5	,	,	PUNCT
ijassa-1186	122	6	there	there	PRON
ijassa-1186	122	7	are	be	VERB
ijassa-1186	122	8	stationarity	stationarity	NOUN
ijassa-1186	122	9	tests	test	NOUN
ijassa-1186	122	10	for	for	ADP
ijassa-1186	122	11	random	random	ADJ
ijassa-1186	122	12	sequences	sequence	NOUN
ijassa-1186	122	13	.	.	PUNCT
ijassa-1186	123	1	one	one	NUM
ijassa-1186	123	2	of	of	ADP
ijassa-1186	123	3	the	the	DET
ijassa-1186	123	4	simplest	simple	ADJ
ijassa-1186	123	5	ways	way	NOUN
ijassa-1186	123	6	to	to	PART
ijassa-1186	123	7	solve	solve	VERB
ijassa-1186	123	8	the	the	DET
ijassa-1186	123	9	problem	problem	NOUN
ijassa-1186	123	10	is	be	AUX
ijassa-1186	123	11	to	to	PART
ijassa-1186	123	12	use	use	VERB
ijassa-1186	123	13	a	a	DET
ijassa-1186	123	14	number	number	NOUN
ijassa-1186	123	15	of	of	ADP
ijassa-1186	123	16	random	random	ADJ
ijassa-1186	123	17	walks	walk	NOUN
ijassa-1186	123	18	within	within	ADP
ijassa-1186	123	19	the	the	DET
ijassa-1186	123	20	graph	graph	NOUN
ijassa-1186	123	21	and	and	CCONJ
ijassa-1186	123	22	to	to	PART
ijassa-1186	123	23	test	test	VERB
ijassa-1186	123	24	the	the	DET
ijassa-1186	123	25	stationarity	stationarity	NOUN
ijassa-1186	123	26	of	of	ADP
ijassa-1186	123	27	the	the	DET
ijassa-1186	123	28	obtained	obtain	VERB
ijassa-1186	123	29	sequences	sequence	NOUN
ijassa-1186	123	30	of	of	ADP
ijassa-1186	123	31	the	the	DET
ijassa-1186	123	32	gathered	gather	VERB
ijassa-1186	123	33	nodes	node	NOUN
ijassa-1186	123	34	.	.	PUNCT
ijassa-1186	124	1	we	we	PRON
ijassa-1186	124	2	use	use	VERB
ijassa-1186	124	3	the	the	DET
ijassa-1186	124	4	stationarity	stationarity	NOUN
ijassa-1186	124	5	test	test	NOUN
ijassa-1186	124	6	statistic	statistic	NOUN
ijassa-1186	124	7	v	v	ADP
ijassa-1186	124	8	/	/	SYM
ijassa-1186	124	9	s	s	PART
ijassa-1186	124	10	=	=	ADJ
ijassa-1186	124	11	vn	vn	PROPN
ijassa-1186	124	12	/	/	SYM
ijassa-1186	124	13	ŝ	ŝ	X
ijassa-1186	124	14	2	2	NUM
ijassa-1186	124	15	n	n	CCONJ
ijassa-1186	124	16	,	,	PUNCT
ijassa-1186	124	17	q	q	NOUN
ijassa-1186	124	18	,	,	PUNCT
ijassa-1186	124	19	vn	vn	NOUN
ijassa-1186	124	20	=	=	SYM
ijassa-1186	124	21	1	1	NUM
ijassa-1186	124	22	n2	n2	NOUN
ijassa-1186	124	23			PROPN
ijassa-1186	125	1	n∑	n∑	INTJ
ijassa-1186	125	2	k=1	k=1	X
ijassa-1186	125	3	(	(	PUNCT
ijassa-1186	125	4	s∗k	s∗k	PROPN
ijassa-1186	125	5	)	)	PUNCT
ijassa-1186	125	6	2	2	NUM
ijassa-1186	125	7	−	−	NOUN
ijassa-1186	125	8	1	1	NUM
ijassa-1186	125	9	n	n	NOUN
ijassa-1186	125	10	(	(	PUNCT
ijassa-1186	125	11	n∑	n∑	INTJ
ijassa-1186	125	12	k=1	k=1	PROPN
ijassa-1186	125	13	s∗k	s∗k	NUM
ijassa-1186	125	14	)	)	PUNCT
ijassa-1186	125	15	2	2	NUM
ijassa-1186	125	16			NOUN
ijassa-1186	125	17	,	,	PUNCT
ijassa-1186	125	18	ŝ2	ŝ2	ADJ
ijassa-1186	125	19	n	n	CCONJ
ijassa-1186	125	20	,	,	PUNCT
ijassa-1186	125	21	q	q	PROPN
ijassa-1186	125	22	=	=	SYM
ijassa-1186	125	23	q−1	q−1	PROPN
ijassa-1186	126	1	q∑	q∑	PROPN
ijassa-1186	127	1	i	i	PRON
ijassa-1186	127	2	,	,	PUNCT
ijassa-1186	127	3	j=1	j=1	PROPN
ijassa-1186	127	4	γ̂i−j	γ̂i−j	NOUN
ijassa-1186	127	5	,	,	PUNCT
ijassa-1186	127	6	(	(	PUNCT
ijassa-1186	127	7	2.2	2.2	NUM
ijassa-1186	127	8	)	)	PUNCT
ijassa-1186	127	9	s∗k	s∗k	PROPN
ijassa-1186	127	10	=	=	SYM
ijassa-1186	127	11	∑k	∑k	PROPN
ijassa-1186	127	12	j=1(xj	j=1(xj	ADV
ijassa-1186	127	13	−xn	−xn	NUM
ijassa-1186	127	14	)	)	PUNCT
ijassa-1186	127	15	,	,	PUNCT
ijassa-1186	127	16	γ̂j	γ̂j	X
ijassa-1186	128	1	=	=	SYM
ijassa-1186	128	2	n−1	n−1	PROPN
ijassa-1186	128	3	∑n−j	∑n−j	PROPN
ijassa-1186	128	4	i=1	i=1	PROPN
ijassa-1186	129	1	(	(	PUNCT
ijassa-1186	129	2	xi	xi	PROPN
ijassa-1186	129	3	−xn)(xi+j	−xn)(xi+j	PROPN
ijassa-1186	129	4	−xn	−xn	PROPN
ijassa-1186	129	5	)	)	PUNCT
ijassa-1186	129	6	,	,	PUNCT
ijassa-1186	129	7	0	0	NUM
ijassa-1186	129	8	≤	≤	NUM
ijassa-1186	130	1	j	j	PROPN
ijassa-1186	130	2	<	<	X
ijassa-1186	130	3	n	n	CCONJ
ijassa-1186	130	4	,	,	PUNCT
ijassa-1186	130	5	where	where	SCONJ
ijassa-1186	131	1	the	the	DET
ijassa-1186	131	2	bandwidth	bandwidth	NOUN
ijassa-1186	131	3	q	q	NOUN
ijassa-1186	131	4	=	=	PUNCT
ijassa-1186	131	5	qn	qn	NOUN
ijassa-1186	131	6	satisfies	satisfie	NOUN
ijassa-1186	131	7	q	q	PROPN
ijassa-1186	131	8	→∞	→∞	NOUN
ijassa-1186	131	9	,	,	PUNCT
ijassa-1186	131	10	q	q	PROPN
ijassa-1186	131	11	/	/	SYM
ijassa-1186	131	12	n→	n→	ADV
ijassa-1186	131	13	0	0	NUM
ijassa-1186	131	14	proposed	propose	VERB
ijassa-1186	131	15	in	in	ADP
ijassa-1186	131	16	[	[	X
ijassa-1186	131	17	10	10	NUM
ijassa-1186	131	18	]	]	PUNCT
ijassa-1186	131	19	for	for	ADP
ijassa-1186	131	20	stochastic	stochastic	ADJ
ijassa-1186	131	21	processes	process	NOUN
ijassa-1186	131	22	with	with	ADP
ijassa-1186	131	23	the	the	DET
ijassa-1186	131	24	stationary	stationary	ADJ
ijassa-1186	131	25	distributed	distribute	VERB
ijassa-1186	131	26	short	short	ADJ
ijassa-1186	131	27	range	range	NOUN
ijassa-1186	131	28	dependent	dependent	ADJ
ijassa-1186	131	29	noise	noise	NOUN
ijassa-1186	131	30	.	.	PUNCT
ijassa-1186	132	1	the	the	DET
ijassa-1186	132	2	null	null	ADJ
ijassa-1186	132	3	hypothesis	hypothesis	NOUN
ijassa-1186	132	4	of	of	ADP
ijassa-1186	132	5	stationarity	stationarity	NOUN
ijassa-1186	132	6	is	be	AUX
ijassa-1186	132	7	rejected	reject	VERB
ijassa-1186	132	8	,	,	PUNCT
ijassa-1186	132	9	if	if	SCONJ
ijassa-1186	132	10	v	v	NOUN
ijassa-1186	132	11	/	/	SYM
ijassa-1186	132	12	s	s	PART
ijassa-1186	132	13	>	>	X
ijassa-1186	132	14	cρ	cρ	PROPN
ijassa-1186	132	15	,	,	PUNCT
ijassa-1186	132	16	where	where	SCONJ
ijassa-1186	132	17	cρ	cρ	PROPN
ijassa-1186	132	18	is	be	AUX
ijassa-1186	132	19	a	a	DET
ijassa-1186	132	20	quantile	quantile	NOUN
ijassa-1186	132	21	of	of	ADP
ijassa-1186	132	22	the	the	DET
ijassa-1186	132	23	asymptotic	asymptotic	ADJ
ijassa-1186	132	24	distribution	distribution	NOUN
ijassa-1186	132	25	function	function	NOUN
ijassa-1186	132	26	of	of	ADP
ijassa-1186	132	27	the	the	DET
ijassa-1186	132	28	kolmogorov	kolmogorov	PROPN
ijassa-1186	132	29	’s	’s	PART
ijassa-1186	132	30	statistic	statistic	NOUN
ijassa-1186	132	31	fk(π	fk(π	NUM
ijassa-1186	132	32	√	√	NUM
ijassa-1186	132	33	x	x	SYM
ijassa-1186	132	34	)	)	PUNCT
ijassa-1186	132	35	.	.	PUNCT
ijassa-1186	133	1	cρ	cρ	PROPN
ijassa-1186	133	2	∈	∈	PROPN
ijassa-1186	133	3	{	{	PUNCT
ijassa-1186	133	4	0.190	0.190	NUM
ijassa-1186	133	5	,	,	PUNCT
ijassa-1186	133	6	0.153	0.153	NUM
ijassa-1186	133	7	}	}	PUNCT
ijassa-1186	133	8	holds	hold	VERB
ijassa-1186	133	9	for	for	ADP
ijassa-1186	133	10	significant	significant	ADJ
ijassa-1186	133	11	level	level	NOUN
ijassa-1186	133	12	ρ	ρ	NOUN
ijassa-1186	133	13	∈	∈	PROPN
ijassa-1186	133	14	{	{	PUNCT
ijassa-1186	133	15	5	5	NUM
ijassa-1186	133	16	,	,	PUNCT
ijassa-1186	133	17	10}%	10}%	NUM
ijassa-1186	133	18	,	,	PUNCT
ijassa-1186	133	19	respectively	respectively	ADV
ijassa-1186	133	20	.	.	PUNCT
ijassa-1186	134	1	2.5	2.5	NUM
ijassa-1186	134	2	.	.	PUNCT
ijassa-1186	135	1	a	a	DET
ijassa-1186	135	2	node	node	NOUN
ijassa-1186	135	3	’s	’s	PART
ijassa-1186	135	4	pagerank	pagerank	NOUN
ijassa-1186	135	5	by	by	ADP
ijassa-1186	135	6	google	google	PROPN
ijassa-1186	135	7	’s	’s	PART
ijassa-1186	135	8	definition	definition	NOUN
ijassa-1186	135	9	[	[	X
ijassa-1186	135	10	11	11	NUM
ijassa-1186	135	11	]	]	PUNCT
ijassa-1186	135	12	the	the	DET
ijassa-1186	135	13	pagerank	pagerank	NOUN
ijassa-1186	135	14	is	be	AUX
ijassa-1186	135	15	determined	determine	VERB
ijassa-1186	135	16	as	as	ADP
ijassa-1186	135	17	the	the	DET
ijassa-1186	135	18	rank	rank	NOUN
ijassa-1186	135	19	of	of	ADP
ijassa-1186	135	20	node	node	PROPN
ijassa-1186	135	21	(	(	PUNCT
ijassa-1186	135	22	web	web	NOUN
ijassa-1186	135	23	page	page	NOUN
ijassa-1186	135	24	)	)	PUNCT
ijassa-1186	136	1	i	i	PRON
ijassa-1186	136	2	by	by	ADP
ijassa-1186	136	3	ri	ri	PROPN
ijassa-1186	136	4	=	=	PUNCT
ijassa-1186	136	5	∑	∑	PUNCT
ijassa-1186	136	6	j→i	j→i	PROPN
ijassa-1186	136	7	c	c	PROPN
ijassa-1186	136	8	oj	oj	ADP
ijassa-1186	136	9	rj	rj	PROPN
ijassa-1186	136	10	+	+	CCONJ
ijassa-1186	136	11	(	(	PUNCT
ijassa-1186	136	12	1−	1−	NUM
ijassa-1186	136	13	c)qi	c)qi	NOUN
ijassa-1186	136	14	,	,	PUNCT
ijassa-1186	136	15	i	i	NOUN
ijassa-1186	136	16	=	=	NOUN
ijassa-1186	136	17	1	1	NUM
ijassa-1186	136	18	,	,	PUNCT
ijassa-1186	136	19	n	n	CCONJ
ijassa-1186	136	20	,	,	PUNCT
ijassa-1186	136	21	(	(	PUNCT
ijassa-1186	136	22	2.3	2.3	NUM
ijassa-1186	136	23	)	)	PUNCT
ijassa-1186	136	24	where	where	SCONJ
ijassa-1186	136	25	the	the	DET
ijassa-1186	136	26	sum	sum	NOUN
ijassa-1186	136	27	is	be	AUX
ijassa-1186	136	28	taken	take	VERB
ijassa-1186	136	29	over	over	ADP
ijassa-1186	136	30	all	all	DET
ijassa-1186	136	31	pages	page	NOUN
ijassa-1186	136	32	with	with	ADP
ijassa-1186	136	33	incoming	incoming	ADJ
ijassa-1186	136	34	links	link	NOUN
ijassa-1186	136	35	to	to	PART
ijassa-1186	136	36	node	node	VERB
ijassa-1186	136	37	i	i	PRON
ijassa-1186	136	38	(	(	PUNCT
ijassa-1186	136	39	j	j	PROPN
ijassa-1186	136	40	→	→	PUNCT
ijassa-1186	136	41	i	i	PRON
ijassa-1186	136	42	implies	imply	VERB
ijassa-1186	136	43	that	that	SCONJ
ijassa-1186	136	44	node	node	PROPN
ijassa-1186	136	45	j	j	PROPN
ijassa-1186	136	46	is	be	AUX
ijassa-1186	136	47	linked	link	VERB
ijassa-1186	136	48	to	to	PART
ijassa-1186	136	49	node	node	VERB
ijassa-1186	136	50	i	i	PRON
ijassa-1186	136	51	,	,	PUNCT
ijassa-1186	136	52	i.e.	i.e.	X
ijassa-1186	136	53	(	(	PUNCT
ijassa-1186	136	54	j	j	NOUN
ijassa-1186	136	55	,	,	PUNCT
ijassa-1186	136	56	i	i	PROPN
ijassa-1186	136	57	)	)	PUNCT
ijassa-1186	136	58	∈	∈	PROPN
ijassa-1186	136	59	e	e	NOUN
ijassa-1186	136	60	)	)	PUNCT
ijassa-1186	136	61	.	.	PUNCT
ijassa-1186	137	1	the	the	DET
ijassa-1186	137	2	number	number	NOUN
ijassa-1186	137	3	of	of	ADP
ijassa-1186	137	4	such	such	ADJ
ijassa-1186	137	5	pages	page	NOUN
ijassa-1186	137	6	constitutes	constitute	VERB
ijassa-1186	137	7	the	the	DET
ijassa-1186	137	8	in	in	ADP
ijassa-1186	137	9	-	-	PUNCT
ijassa-1186	137	10	degree	degree	NOUN
ijassa-1186	137	11	of	of	ADP
ijassa-1186	137	12	the	the	DET
ijassa-1186	137	13	node	node	PROPN
ijassa-1186	137	14	i.	i.	PROPN
ijassa-1186	137	15	oj	oj	AUX
ijassa-1186	137	16	denotes	denotes	PROPN
ijassa-1186	137	17	the	the	DET
ijassa-1186	137	18	out	out	ADJ
ijassa-1186	137	19	-	-	PUNCT
ijassa-1186	137	20	degree	degree	NOUN
ijassa-1186	137	21	of	of	ADP
ijassa-1186	137	22	the	the	DET
ijassa-1186	137	23	node	node	PROPN
ijassa-1186	137	24	j	j	PROPN
ijassa-1186	137	25	,	,	PUNCT
ijassa-1186	137	26	i.e.	i.e.	X
ijassa-1186	137	27	the	the	DET
ijassa-1186	137	28	number	number	NOUN
ijassa-1186	137	29	of	of	ADP
ijassa-1186	137	30	its	its	PRON
ijassa-1186	137	31	outgoing	outgoing	ADJ
ijassa-1186	137	32	links	link	NOUN
ijassa-1186	137	33	.	.	PUNCT
ijassa-1186	138	1	c	c	PROPN
ijassa-1186	138	2	∈	∈	PROPN
ijassa-1186	138	3	(	(	PUNCT
ijassa-1186	138	4	0	0	NUM
ijassa-1186	138	5	,	,	PUNCT
ijassa-1186	138	6	1	1	NUM
ijassa-1186	138	7	)	)	PUNCT
ijassa-1186	138	8	is	be	AUX
ijassa-1186	138	9	a	a	DET
ijassa-1186	138	10	damping	damp	VERB
ijassa-1186	138	11	factor	factor	NOUN
ijassa-1186	138	12	,	,	PUNCT
ijassa-1186	138	13	i.e.	i.e.	X
ijassa-1186	138	14	a	a	DET
ijassa-1186	138	15	probability	probability	NOUN
ijassa-1186	138	16	to	to	PART
ijassa-1186	138	17	browse	browse	VERB
ijassa-1186	138	18	a	a	DET
ijassa-1186	138	19	web	web	NOUN
ijassa-1186	138	20	-	-	NOUN
ijassa-1186	138	21	page	page	NOUN
ijassa-1186	138	22	connected	connect	VERB
ijassa-1186	138	23	with	with	ADP
ijassa-1186	138	24	the	the	DET
ijassa-1186	138	25	current	current	ADJ
ijassa-1186	138	26	one	one	NOUN
ijassa-1186	138	27	that	that	PRON
ijassa-1186	138	28	is	be	AUX
ijassa-1186	138	29	set	set	VERB
ijassa-1186	138	30	by	by	ADP
ijassa-1186	138	31	google	google	PROPN
ijassa-1186	138	32	as	as	ADP
ijassa-1186	138	33	c	c	NOUN
ijassa-1186	138	34	=	=	SYM
ijassa-1186	138	35	0.85	0.85	NUM
ijassa-1186	138	36	.	.	PUNCT
ijassa-1186	139	1	qi	qi	PROPN
ijassa-1186	139	2	≥	≥	PROPN
ijassa-1186	139	3	0	0	NUM
ijassa-1186	139	4	is	be	AUX
ijassa-1186	139	5	a	a	DET
ijassa-1186	139	6	personalization	personalization	NOUN
ijassa-1186	139	7	probability	probability	NOUN
ijassa-1186	139	8	of	of	ADP
ijassa-1186	139	9	node	node	PROPN
ijassa-1186	139	10	i.	i.	PROPN
ijassa-1186	139	11	the	the	DET
ijassa-1186	139	12	pagerank	pagerank	NOUN
ijassa-1186	139	13	is	be	AUX
ijassa-1186	139	14	a	a	DET
ijassa-1186	139	15	numeric	numeric	ADJ
ijassa-1186	139	16	measure	measure	NOUN
ijassa-1186	139	17	of	of	ADP
ijassa-1186	139	18	inter	inter	NOUN
ijassa-1186	139	19	-	-	NOUN
ijassa-1186	139	20	relations	relation	NOUN
ijassa-1186	139	21	between	between	ADP
ijassa-1186	139	22	nodes	node	NOUN
ijassa-1186	139	23	that	that	PRON
ijassa-1186	139	24	reflects	reflect	VERB
ijassa-1186	139	25	the	the	DET
ijassa-1186	139	26	local	local	ADJ
ijassa-1186	139	27	network	network	NOUN
ijassa-1186	139	28	structure	structure	NOUN
ijassa-1186	139	29	.	.	PUNCT
ijassa-1186	140	1	to	to	PART
ijassa-1186	140	2	estimate	estimate	VERB
ijassa-1186	140	3	the	the	DET
ijassa-1186	140	4	pagerank	pagerank	NOUN
ijassa-1186	140	5	we	we	PRON
ijassa-1186	140	6	use	use	VERB
ijassa-1186	140	7	the	the	DET
ijassa-1186	140	8	iterative	iterative	NOUN
ijassa-1186	140	9	formula	formula	NOUN
ijassa-1186	140	10	r̂	r̂	NOUN
ijassa-1186	140	11	(	(	PUNCT
ijassa-1186	140	12	n,0	n,0	NOUN
ijassa-1186	140	13	)	)	PUNCT
ijassa-1186	141	1	i	i	PRON
ijassa-1186	141	2	=	=	NOUN
ijassa-1186	141	3	1	1	NUM
ijassa-1186	141	4	,	,	PUNCT
ijassa-1186	141	5	r̂	r̂	NOUN
ijassa-1186	141	6	(	(	PUNCT
ijassa-1186	141	7	n	n	CCONJ
ijassa-1186	141	8	,	,	PUNCT
ijassa-1186	141	9	k	k	NOUN
ijassa-1186	141	10	)	)	PUNCT
ijassa-1186	142	1	i	i	PRON
ijassa-1186	142	2	=	=	PUNCT
ijassa-1186	142	3	∑	∑	PUNCT
ijassa-1186	142	4	j→i	j→i	X
ijassa-1186	142	5	c	c	NOUN
ijassa-1186	142	6	dj	dj	NOUN
ijassa-1186	142	7	r̂	r̂	NOUN
ijassa-1186	142	8	(	(	PUNCT
ijassa-1186	142	9	n	n	X
ijassa-1186	142	10	,	,	PUNCT
ijassa-1186	142	11	k−1	k−1	PROPN
ijassa-1186	142	12	)	)	PUNCT
ijassa-1186	142	13	j	j	PROPN
ijassa-1186	143	1	+	+	CCONJ
ijassa-1186	143	2	(	(	PUNCT
ijassa-1186	143	3	1−	1−	NUM
ijassa-1186	143	4	c	c	NOUN
ijassa-1186	143	5	)	)	PUNCT
ijassa-1186	143	6	,	,	PUNCT
ijassa-1186	143	7	k	k	PROPN
ijassa-1186	143	8	∈	∈	PROPN
ijassa-1186	143	9	n	n	CCONJ
ijassa-1186	143	10	,	,	PUNCT
ijassa-1186	143	11	(	(	PUNCT
ijassa-1186	143	12	2.4	2.4	NUM
ijassa-1186	143	13	)	)	PUNCT
ijassa-1186	143	14	proposed	propose	VERB
ijassa-1186	143	15	in	in	ADP
ijassa-1186	143	16	[	[	X
ijassa-1186	143	17	12	12	NUM
ijassa-1186	143	18	]	]	PUNCT
ijassa-1186	143	19	for	for	ADP
ijassa-1186	143	20	a	a	DET
ijassa-1186	143	21	given	give	VERB
ijassa-1186	143	22	uniform	uniform	ADJ
ijassa-1186	143	23	personalization	personalization	NOUN
ijassa-1186	143	24	vector	vector	NOUN
ijassa-1186	143	25	qi	qi	PROPN
ijassa-1186	143	26	=	=	SYM
ijassa-1186	143	27	1	1	NUM
ijassa-1186	143	28	/	/	SYM
ijassa-1186	143	29	n	n	CCONJ
ijassa-1186	143	30	,	,	PUNCT
ijassa-1186	143	31	1	1	NUM
ijassa-1186	143	32	≤	≤	NUM
ijassa-1186	143	33	i	i	PRON
ijassa-1186	143	34	≤	≤	ADJ
ijassa-1186	143	35	n	n	PRON
ijassa-1186	143	36	=	=	PUNCT
ijassa-1186	143	37	|v	|v	PROPN
ijassa-1186	143	38	|	|	NOUN
ijassa-1186	143	39	.	.	PUNCT
ijassa-1186	144	1	the	the	DET
ijassa-1186	144	2	iteration	iteration	NOUN
ijassa-1186	144	3	(	(	PUNCT
ijassa-1186	144	4	2.4	2.4	NUM
ijassa-1186	144	5	)	)	PUNCT
ijassa-1186	144	6	is	be	AUX
ijassa-1186	144	7	proceeding	proceed	VERB
ijassa-1186	144	8	until	until	ADP
ijassa-1186	144	9	the	the	DET
ijassa-1186	144	10	difference	difference	NOUN
ijassa-1186	144	11	between	between	ADP
ijassa-1186	144	12	two	two	NUM
ijassa-1186	144	13	consecutive	consecutive	ADJ
ijassa-1186	144	14	iterations	iteration	NOUN
ijassa-1186	144	15	|r(n	|r(n	PROPN
ijassa-1186	144	16	,	,	PUNCT
ijassa-1186	144	17	k	k	PROPN
ijassa-1186	144	18	)	)	PUNCT
ijassa-1186	144	19	i	i	PRON
ijassa-1186	144	20	−r(n	−r(n	NOUN
ijassa-1186	144	21	,	,	PUNCT
ijassa-1186	144	22	k−1	k−1	PROPN
ijassa-1186	144	23	)	)	PUNCT
ijassa-1186	145	1	i	i	PRON
ijassa-1186	145	2	|	|	ADV
ijassa-1186	145	3	will	will	AUX
ijassa-1186	145	4	be	be	AUX
ijassa-1186	145	5	small	small	ADJ
ijassa-1186	145	6	enough	enough	ADV
ijassa-1186	145	7	which	which	PRON
ijassa-1186	145	8	is	be	AUX
ijassa-1186	145	9	sufficient	sufficient	ADJ
ijassa-1186	145	10	for	for	ADP
ijassa-1186	145	11	a	a	DET
ijassa-1186	145	12	moderate	moderate	ADJ
ijassa-1186	145	13	number	number	NOUN
ijassa-1186	145	14	of	of	ADP
ijassa-1186	145	15	iterations	iteration	NOUN
ijassa-1186	145	16	k.	k.	PROPN
ijassa-1186	146	1	in	in	ADP
ijassa-1186	146	2	[	[	X
ijassa-1186	146	3	13	13	NUM
ijassa-1186	146	4	]	]	PUNCT
ijassa-1186	146	5	,	,	PUNCT
ijassa-1186	146	6	it	it	PRON
ijassa-1186	146	7	is	be	AUX
ijassa-1186	146	8	proved	prove	VERB
ijassa-1186	146	9	that	that	SCONJ
ijassa-1186	146	10	pageranks	pagerank	NOUN
ijassa-1186	146	11	of	of	ADP
ijassa-1186	146	12	nodes	node	NOUN
ijassa-1186	146	13	in	in	ADP
ijassa-1186	146	14	a	a	DET
ijassa-1186	146	15	directed	direct	VERB
ijassa-1186	146	16	graph	graph	NOUN
ijassa-1186	146	17	received	receive	VERB
ijassa-1186	146	18	by	by	ADP
ijassa-1186	146	19	the	the	DET
ijassa-1186	146	20	pa	pa	PROPN
ijassa-1186	146	21	are	be	AUX
ijassa-1186	146	22	power	power	NOUN
ijassa-1186	146	23	law	law	NOUN
ijassa-1186	146	24	distributed	distribute	VERB
ijassa-1186	146	25	.	.	PUNCT
ijassa-1186	147	1	the	the	DET
ijassa-1186	147	2	tail	tail	NOUN
ijassa-1186	147	3	of	of	ADP
ijassa-1186	147	4	the	the	DET
ijassa-1186	147	5	latter	latter	ADJ
ijassa-1186	147	6	distribution	distribution	NOUN
ijassa-1186	147	7	is	be	AUX
ijassa-1186	147	8	heavier	heavy	ADJ
ijassa-1186	147	9	than	than	ADP
ijassa-1186	147	10	the	the	DET
ijassa-1186	147	11	tail	tail	NOUN
ijassa-1186	147	12	of	of	ADP
ijassa-1186	147	13	the	the	DET
ijassa-1186	147	14	limiting	limit	VERB
ijassa-1186	147	15	in	in	ADP
ijassa-1186	147	16	-	-	PUNCT
ijassa-1186	147	17	degree	degree	NOUN
ijassa-1186	147	18	distribution	distribution	NOUN
ijassa-1186	147	19	.	.	PUNCT
ijassa-1186	148	1	copyright	copyright	NOUN
ijassa-1186	148	2	©	©	ADP
ijassa-1186	148	3	2022	2022	NUM
ijassa-1186	148	4	assa	assa	NOUN
ijassa-1186	148	5	.	.	PUNCT
ijassa-1186	149	1	adv	adv	PROPN
ijassa-1186	149	2	syst	syst	PROPN
ijassa-1186	149	3	sci	sci	PROPN
ijassa-1186	149	4	appl	appl	PROPN
ijassa-1186	149	5	(	(	PUNCT
ijassa-1186	149	6	2022	2022	NUM
ijassa-1186	149	7	)	)	PUNCT
ijassa-1186	149	8	26	26	NUM
ijassa-1186	149	9	n.	n.	NOUN
ijassa-1186	149	10	m.	m.	NOUN
ijassa-1186	149	11	markovich	markovich	PROPN
ijassa-1186	149	12	,	,	PUNCT
ijassa-1186	149	13	m.	m.	PROPN
ijassa-1186	149	14	s.	s.	PROPN
ijassa-1186	149	15	ryzhov	ryzhov	PROPN
ijassa-1186	149	16	3	3	PROPN
ijassa-1186	149	17	.	.	PUNCT
ijassa-1186	149	18	simulation	simulation	NOUN
ijassa-1186	149	19	graphs	graph	NOUN
ijassa-1186	149	20	let	let	VERB
ijassa-1186	149	21	us	we	PRON
ijassa-1186	149	22	describe	describe	VERB
ijassa-1186	149	23	the	the	DET
ijassa-1186	149	24	information	information	NOUN
ijassa-1186	149	25	spreading	spread	VERB
ijassa-1186	149	26	mechanism	mechanism	NOUN
ijassa-1186	149	27	by	by	ADP
ijassa-1186	149	28	means	mean	NOUN
ijassa-1186	149	29	of	of	ADP
ijassa-1186	149	30	the	the	DET
ijassa-1186	149	31	pa	pa	PROPN
ijassa-1186	149	32	.	.	PROPN
ijassa-1186	150	1	let	let	VERB
ijassa-1186	150	2	the	the	DET
ijassa-1186	150	3	initial	initial	ADJ
ijassa-1186	150	4	directed	direct	VERB
ijassa-1186	150	5	graph	graph	NOUN
ijassa-1186	150	6	g(k0	g(k0	NOUN
ijassa-1186	150	7	)	)	PUNCT
ijassa-1186	150	8	with	with	ADP
ijassa-1186	150	9	n0	n0	ADJ
ijassa-1186	150	10	nodes	node	NOUN
ijassa-1186	150	11	and	and	CCONJ
ijassa-1186	150	12	k0	k0	PROPN
ijassa-1186	150	13	edges	edge	NOUN
ijassa-1186	150	14	be	be	VERB
ijassa-1186	150	15	a	a	DET
ijassa-1186	150	16	seed	seed	NOUN
ijassa-1186	150	17	set	set	NOUN
ijassa-1186	150	18	of	of	ADP
ijassa-1186	150	19	nodes	node	NOUN
ijassa-1186	150	20	having	have	VERB
ijassa-1186	150	21	a	a	DET
ijassa-1186	150	22	message	message	NOUN
ijassa-1186	150	23	to	to	PART
ijassa-1186	150	24	be	be	AUX
ijassa-1186	150	25	spread	spread	VERB
ijassa-1186	150	26	.	.	PUNCT
ijassa-1186	151	1	at	at	ADP
ijassa-1186	151	2	global	global	ADJ
ijassa-1186	151	3	poissonian	poissonian	PROPN
ijassa-1186	151	4	clock	clock	NOUN
ijassa-1186	151	5	ticks	tick	NOUN
ijassa-1186	151	6	,	,	PUNCT
ijassa-1186	151	7	we	we	PRON
ijassa-1186	151	8	do	do	VERB
ijassa-1186	151	9	a	a	DET
ijassa-1186	151	10	step	step	NOUN
ijassa-1186	151	11	of	of	ADP
ijassa-1186	151	12	the	the	DET
ijassa-1186	151	13	pa	pa	PROPN
ijassa-1186	151	14	(	(	PUNCT
ijassa-1186	151	15	section	section	NOUN
ijassa-1186	151	16	2.2	2.2	NUM
ijassa-1186	151	17	)	)	PUNCT
ijassa-1186	151	18	with	with	ADP
ijassa-1186	151	19	predefined	predefine	VERB
ijassa-1186	151	20	parameters	parameter	NOUN
ijassa-1186	151	21	α	α	X
ijassa-1186	151	22	,	,	PUNCT
ijassa-1186	151	23	β	β	X
ijassa-1186	151	24	,	,	PUNCT
ijassa-1186	151	25	γ,∆in,∆out	γ,∆in,∆out	PROPN
ijassa-1186	151	26	.	.	PUNCT
ijassa-1186	152	1	the	the	DET
ijassa-1186	152	2	latter	latter	ADJ
ijassa-1186	152	3	parameters	parameter	NOUN
ijassa-1186	152	4	may	may	AUX
ijassa-1186	152	5	be	be	AUX
ijassa-1186	152	6	estimated	estimate	VERB
ijassa-1186	152	7	by	by	ADP
ijassa-1186	152	8	inand	inand	NOUN
ijassa-1186	152	9	out	out	ADJ
ijassa-1186	152	10	-	-	PUNCT
ijassa-1186	152	11	degrees	degree	NOUN
ijassa-1186	152	12	data	data	NOUN
ijassa-1186	152	13	sets	set	NOUN
ijassa-1186	152	14	as	as	SCONJ
ijassa-1186	152	15	proposed	propose	VERB
ijassa-1186	152	16	in	in	ADP
ijassa-1186	152	17	section	section	NOUN
ijassa-1186	152	18	3.3	3.3	NUM
ijassa-1186	152	19	in	in	ADP
ijassa-1186	152	20	[	[	X
ijassa-1186	152	21	3	3	NUM
ijassa-1186	152	22	]	]	PUNCT
ijassa-1186	152	23	.	.	PUNCT
ijassa-1186	153	1	a	a	DET
ijassa-1186	153	2	newly	newly	ADV
ijassa-1186	153	3	appended	append	VERB
ijassa-1186	153	4	edge	edge	NOUN
ijassa-1186	153	5	may	may	AUX
ijassa-1186	153	6	increase	increase	VERB
ijassa-1186	153	7	the	the	DET
ijassa-1186	153	8	number	number	NOUN
ijassa-1186	153	9	of	of	ADP
ijassa-1186	153	10	nodes	node	NOUN
ijassa-1186	153	11	receiving	receive	VERB
ijassa-1186	153	12	the	the	DET
ijassa-1186	153	13	message	message	NOUN
ijassa-1186	153	14	.	.	PUNCT
ijassa-1186	154	1	the	the	DET
ijassa-1186	154	2	message	message	NOUN
ijassa-1186	154	3	can	can	AUX
ijassa-1186	154	4	be	be	AUX
ijassa-1186	154	5	delivered	deliver	VERB
ijassa-1186	154	6	from	from	ADP
ijassa-1186	154	7	the	the	DET
ijassa-1186	154	8	node	node	NOUN
ijassa-1186	154	9	i	i	PRON
ijassa-1186	154	10	to	to	ADP
ijassa-1186	154	11	the	the	DET
ijassa-1186	154	12	node	node	PROPN
ijassa-1186	154	13	j	j	PROPN
ijassa-1186	154	14	,	,	PUNCT
ijassa-1186	154	15	if	if	SCONJ
ijassa-1186	154	16	the	the	DET
ijassa-1186	154	17	directed	direct	VERB
ijassa-1186	154	18	edge	edge	NOUN
ijassa-1186	154	19	(	(	PUNCT
ijassa-1186	154	20	i→	i→	PROPN
ijassa-1186	154	21	j	j	NOUN
ijassa-1186	154	22	)	)	PUNCT
ijassa-1186	154	23	is	be	AUX
ijassa-1186	154	24	created	create	VERB
ijassa-1186	154	25	from	from	ADP
ijassa-1186	154	26	the	the	DET
ijassa-1186	154	27	node	node	NOUN
ijassa-1186	154	28	i	i	PRON
ijassa-1186	154	29	to	to	ADP
ijassa-1186	154	30	the	the	DET
ijassa-1186	154	31	node	node	PROPN
ijassa-1186	154	32	j	j	PROPN
ijassa-1186	154	33	which	which	PRON
ijassa-1186	154	34	has	have	VERB
ijassa-1186	154	35	not	not	PART
ijassa-1186	154	36	this	this	DET
ijassa-1186	154	37	message	message	NOUN
ijassa-1186	154	38	.	.	PUNCT
ijassa-1186	155	1	this	this	PRON
ijassa-1186	155	2	is	be	AUX
ijassa-1186	155	3	possible	possible	ADJ
ijassa-1186	155	4	only	only	ADV
ijassa-1186	155	5	if	if	SCONJ
ijassa-1186	155	6	the	the	DET
ijassa-1186	155	7	edge	edge	NOUN
ijassa-1186	155	8	is	be	AUX
ijassa-1186	155	9	created	create	VERB
ijassa-1186	155	10	by	by	ADP
ijassa-1186	155	11	the	the	DET
ijassa-1186	155	12	β−	β−	PROPN
ijassa-1186	155	13	or	or	CCONJ
ijassa-1186	155	14	γ−	γ−	PROPN
ijassa-1186	155	15	schemes	scheme	NOUN
ijassa-1186	155	16	.	.	PUNCT
ijassa-1186	156	1	the	the	DET
ijassa-1186	156	2	α−scheme	α−scheme	NOUN
ijassa-1186	156	3	provides	provide	VERB
ijassa-1186	156	4	edges	edge	NOUN
ijassa-1186	156	5	with	with	ADP
ijassa-1186	156	6	the	the	DET
ijassa-1186	156	7	opposite	opposite	ADJ
ijassa-1186	156	8	direction	direction	NOUN
ijassa-1186	156	9	,	,	PUNCT
ijassa-1186	156	10	namely	namely	ADV
ijassa-1186	156	11	,	,	PUNCT
ijassa-1186	156	12	from	from	ADP
ijassa-1186	156	13	the	the	DET
ijassa-1186	156	14	newly	newly	ADV
ijassa-1186	156	15	appearing	appearing	ADJ
ijassa-1186	156	16	node	node	NOUN
ijassa-1186	156	17	without	without	ADP
ijassa-1186	156	18	the	the	DET
ijassa-1186	156	19	message	message	NOUN
ijassa-1186	156	20	to	to	ADP
ijassa-1186	156	21	the	the	DET
ijassa-1186	156	22	existing	exist	VERB
ijassa-1186	156	23	node	node	NOUN
ijassa-1186	156	24	.	.	PUNCT
ijassa-1186	157	1	indeed	indeed	ADV
ijassa-1186	157	2	,	,	PUNCT
ijassa-1186	157	3	the	the	DET
ijassa-1186	157	4	message	message	NOUN
ijassa-1186	157	5	can	can	AUX
ijassa-1186	157	6	be	be	AUX
ijassa-1186	157	7	transmitted	transmit	VERB
ijassa-1186	157	8	from	from	ADP
ijassa-1186	157	9	the	the	DET
ijassa-1186	157	10	node	node	NOUN
ijassa-1186	157	11	having	have	VERB
ijassa-1186	157	12	this	this	DET
ijassa-1186	157	13	message	message	NOUN
ijassa-1186	157	14	,	,	PUNCT
ijassa-1186	157	15	only	only	ADV
ijassa-1186	157	16	.	.	PUNCT
ijassa-1186	158	1	at	at	ADP
ijassa-1186	158	2	the	the	DET
ijassa-1186	158	3	kth	kth	PROPN
ijassa-1186	158	4	clock	clock	NOUN
ijassa-1186	158	5	tick	tick	NOUN
ijassa-1186	158	6	we	we	PRON
ijassa-1186	158	7	receive	receive	VERB
ijassa-1186	158	8	a	a	DET
ijassa-1186	158	9	graph	graph	NOUN
ijassa-1186	158	10	g(k	g(k	NOUN
ijassa-1186	158	11	)	)	PUNCT
ijassa-1186	158	12	=	=	SYM
ijassa-1186	158	13	(	(	PUNCT
ijassa-1186	158	14	v	v	NOUN
ijassa-1186	158	15	(	(	PUNCT
ijassa-1186	158	16	k	k	NOUN
ijassa-1186	158	17	)	)	PUNCT
ijassa-1186	158	18	,	,	PUNCT
ijassa-1186	158	19	e(k	e(k	NOUN
ijassa-1186	158	20	)	)	PUNCT
ijassa-1186	158	21	)	)	PUNCT
ijassa-1186	158	22	with	with	ADP
ijassa-1186	158	23	|e(k)|	|e(k)|	NOUN
ijassa-1186	158	24	=	=	SYM
ijassa-1186	158	25	k	k	PROPN
ijassa-1186	158	26	+	+	CCONJ
ijassa-1186	158	27	k0	k0	PROPN
ijassa-1186	158	28	edges	edge	NOUN
ijassa-1186	158	29	and	and	CCONJ
ijassa-1186	158	30	n(k	n(k	PROPN
ijassa-1186	158	31	)	)	PUNCT
ijassa-1186	159	1	≤	≤	NUM
ijassa-1186	159	2	n0	n0	NOUN
ijassa-1186	159	3	+	+	CCONJ
ijassa-1186	159	4	k	k	PROPN
ijassa-1186	159	5	nodes	node	NOUN
ijassa-1186	159	6	.	.	PUNCT
ijassa-1186	160	1	the	the	DET
ijassa-1186	160	2	pa	pa	PROPN
ijassa-1186	160	3	schemes	scheme	NOUN
ijassa-1186	160	4	in	in	ADP
ijassa-1186	160	5	[	[	X
ijassa-1186	160	6	3	3	NUM
ijassa-1186	160	7	]	]	PUNCT
ijassa-1186	160	8	may	may	AUX
ijassa-1186	160	9	generate	generate	VERB
ijassa-1186	160	10	multiple	multiple	ADJ
ijassa-1186	160	11	edges	edge	NOUN
ijassa-1186	160	12	and	and	CCONJ
ijassa-1186	160	13	self	self	NOUN
ijassa-1186	160	14	loops	loop	NOUN
ijassa-1186	160	15	for	for	ADP
ijassa-1186	160	16	some	some	DET
ijassa-1186	160	17	nodes	node	NOUN
ijassa-1186	160	18	.	.	PUNCT
ijassa-1186	161	1	as	as	ADP
ijassa-1186	161	2	a	a	DET
ijassa-1186	161	3	result	result	NOUN
ijassa-1186	161	4	,	,	PUNCT
ijassa-1186	161	5	messages	message	NOUN
ijassa-1186	161	6	may	may	AUX
ijassa-1186	161	7	get	get	VERB
ijassa-1186	161	8	a	a	DET
ijassa-1186	161	9	stuck	stuck	NOUN
ijassa-1186	161	10	in	in	ADP
ijassa-1186	161	11	these	these	DET
ijassa-1186	161	12	nodes	node	NOUN
ijassa-1186	161	13	and	and	CCONJ
ijassa-1186	161	14	the	the	DET
ijassa-1186	161	15	corresponding	correspond	VERB
ijassa-1186	161	16	spreading	spread	VERB
ijassa-1186	161	17	time	time	NOUN
ijassa-1186	161	18	increases	increase	NOUN
ijassa-1186	161	19	.	.	PUNCT
ijassa-1186	162	1	we	we	PRON
ijassa-1186	162	2	compare	compare	VERB
ijassa-1186	162	3	an	an	DET
ijassa-1186	162	4	ability	ability	NOUN
ijassa-1186	162	5	to	to	PART
ijassa-1186	162	6	spread	spread	VERB
ijassa-1186	162	7	the	the	DET
ijassa-1186	162	8	information	information	NOUN
ijassa-1186	162	9	by	by	ADP
ijassa-1186	162	10	the	the	DET
ijassa-1186	162	11	pa	pa	PROPN
ijassa-1186	162	12	schemes	scheme	NOUN
ijassa-1186	162	13	and	and	CCONJ
ijassa-1186	162	14	by	by	ADP
ijassa-1186	162	15	the	the	DET
ijassa-1186	162	16	spread	spread	ADJ
ijassa-1186	162	17	algorithm	algorithm	NOUN
ijassa-1186	162	18	given	give	VERB
ijassa-1186	162	19	in	in	ADP
ijassa-1186	162	20	section	section	NOUN
ijassa-1186	162	21	2.1	2.1	NUM
ijassa-1186	162	22	.	.	PUNCT
ijassa-1186	163	1	the	the	DET
ijassa-1186	163	2	graph	graph	NOUN
ijassa-1186	163	3	is	be	AUX
ijassa-1186	163	4	first	first	ADV
ijassa-1186	163	5	simulated	simulate	VERB
ijassa-1186	163	6	by	by	ADP
ijassa-1186	163	7	the	the	DET
ijassa-1186	163	8	pa	pa	PROPN
ijassa-1186	163	9	and	and	CCONJ
ijassa-1186	163	10	the	the	DET
ijassa-1186	163	11	spread	spread	NOUN
ijassa-1186	163	12	is	be	AUX
ijassa-1186	163	13	operating	operate	VERB
ijassa-1186	163	14	in	in	ADP
ijassa-1186	163	15	the	the	DET
ijassa-1186	163	16	prepared	prepared	ADJ
ijassa-1186	163	17	graph	graph	NOUN
ijassa-1186	163	18	.	.	PUNCT
ijassa-1186	164	1	we	we	PRON
ijassa-1186	164	2	use	use	VERB
ijassa-1186	164	3	the	the	DET
ijassa-1186	164	4	following	follow	VERB
ijassa-1186	164	5	parameters	parameter	NOUN
ijassa-1186	164	6	for	for	ADP
ijassa-1186	164	7	the	the	DET
ijassa-1186	164	8	pa	pa	PROPN
ijassa-1186	164	9	.	.	PUNCT
ijassa-1186	165	1	the	the	DET
ijassa-1186	165	2	α	α	PROPN
ijassa-1186	165	3	,	,	PUNCT
ijassa-1186	165	4	β	β	X
ijassa-1186	165	5	and	and	CCONJ
ijassa-1186	165	6	γ	γ	NOUN
ijassa-1186	165	7	are	be	AUX
ijassa-1186	165	8	taken	take	VERB
ijassa-1186	165	9	within	within	ADP
ijassa-1186	165	10	the	the	DET
ijassa-1186	165	11	interval	interval	NOUN
ijassa-1186	165	12	[	[	X
ijassa-1186	165	13	0.04	0.04	NUM
ijassa-1186	165	14	,	,	PUNCT
ijassa-1186	165	15	0.96	0.96	NUM
ijassa-1186	165	16	]	]	PUNCT
ijassa-1186	165	17	with	with	ADP
ijassa-1186	165	18	the	the	DET
ijassa-1186	165	19	step	step	NOUN
ijassa-1186	165	20	0.04	0.04	NUM
ijassa-1186	165	21	,	,	PUNCT
ijassa-1186	165	22	such	such	ADJ
ijassa-1186	165	23	that	that	SCONJ
ijassa-1186	165	24	α	α	PROPN
ijassa-1186	165	25	+	+	X
ijassa-1186	165	26	β	β	X
ijassa-1186	165	27	+	+	X
ijassa-1186	165	28	γ	γ	X
ijassa-1186	165	29	=	=	SYM
ijassa-1186	165	30	1	1	NUM
ijassa-1186	165	31	,	,	PUNCT
ijassa-1186	165	32	and	and	CCONJ
ijassa-1186	165	33	∆in	∆in	NUM
ijassa-1186	165	34	=	=	SYM
ijassa-1186	165	35	∆out	∆out	X
ijassa-1186	166	1	=	=	SYM
ijassa-1186	166	2	1	1	NUM
ijassa-1186	166	3	holds	hold	NOUN
ijassa-1186	166	4	.	.	PUNCT
ijassa-1186	166	5	100	100	NUM
ijassa-1186	166	6	simulated	simulated	ADJ
ijassa-1186	166	7	graphs	graph	NOUN
ijassa-1186	166	8	are	be	AUX
ijassa-1186	166	9	provided	provide	VERB
ijassa-1186	166	10	for	for	ADP
ijassa-1186	166	11	the	the	DET
ijassa-1186	166	12	each	each	DET
ijassa-1186	166	13	set	set	NOUN
ijassa-1186	166	14	of	of	ADP
ijassa-1186	166	15	the	the	DET
ijassa-1186	166	16	parameters	parameter	NOUN
ijassa-1186	166	17	.	.	PUNCT
ijassa-1186	167	1	the	the	DET
ijassa-1186	167	2	graphs	graph	NOUN
ijassa-1186	167	3	evolve	evolve	VERB
ijassa-1186	167	4	starting	start	VERB
ijassa-1186	167	5	from	from	ADP
ijassa-1186	167	6	the	the	DET
ijassa-1186	167	7	initial	initial	ADJ
ijassa-1186	167	8	triangle	triangle	NOUN
ijassa-1186	167	9	,	,	PUNCT
ijassa-1186	167	10	that	that	PRON
ijassa-1186	167	11	is	be	AUX
ijassa-1186	167	12	a	a	DET
ijassa-1186	167	13	three	three	NUM
ijassa-1186	167	14	nodes	node	NOUN
ijassa-1186	167	15	connected	connect	VERB
ijassa-1186	167	16	to	to	ADP
ijassa-1186	167	17	each	each	DET
ijassa-1186	167	18	other	other	ADJ
ijassa-1186	167	19	,	,	PUNCT
ijassa-1186	167	20	i.e.	i.e.	X
ijassa-1186	167	21	k0	k0	PROPN
ijassa-1186	167	22	=	=	SYM
ijassa-1186	167	23	3	3	NUM
ijassa-1186	167	24	,	,	PUNCT
ijassa-1186	167	25	n0	n0	X
ijassa-1186	167	26	=	=	SYM
ijassa-1186	167	27	3	3	NUM
ijassa-1186	167	28	hold	hold	VERB
ijassa-1186	167	29	.	.	PUNCT
ijassa-1186	168	1	at	at	ADV
ijassa-1186	168	2	least	least	ADJ
ijassa-1186	168	3	one	one	NUM
ijassa-1186	168	4	of	of	ADP
ijassa-1186	168	5	the	the	DET
ijassa-1186	168	6	nodes	node	NOUN
ijassa-1186	168	7	has	have	VERB
ijassa-1186	168	8	a	a	DET
ijassa-1186	168	9	message	message	NOUN
ijassa-1186	168	10	to	to	PART
ijassa-1186	168	11	spread	spread	VERB
ijassa-1186	168	12	.	.	PUNCT
ijassa-1186	169	1	selecting	select	VERB
ijassa-1186	169	2	this	this	DET
ijassa-1186	169	3	triple	triple	NOUN
ijassa-1186	169	4	of	of	ADP
ijassa-1186	169	5	nodes	node	NOUN
ijassa-1186	169	6	within	within	ADP
ijassa-1186	169	7	one	one	NUM
ijassa-1186	169	8	of	of	ADP
ijassa-1186	169	9	the	the	DET
ijassa-1186	169	10	communities	community	NOUN
ijassa-1186	169	11	of	of	ADP
ijassa-1186	169	12	the	the	DET
ijassa-1186	169	13	network	network	NOUN
ijassa-1186	169	14	,	,	PUNCT
ijassa-1186	169	15	we	we	PRON
ijassa-1186	169	16	aim	aim	VERB
ijassa-1186	169	17	to	to	PART
ijassa-1186	169	18	find	find	VERB
ijassa-1186	169	19	,	,	PUNCT
ijassa-1186	169	20	what	what	DET
ijassa-1186	169	21	community	community	NOUN
ijassa-1186	169	22	may	may	AUX
ijassa-1186	169	23	spread	spread	VERB
ijassa-1186	169	24	the	the	DET
ijassa-1186	169	25	message	message	NOUN
ijassa-1186	169	26	faster	fast	ADV
ijassa-1186	169	27	.	.	PUNCT
ijassa-1186	170	1	let	let	VERB
ijassa-1186	170	2	us	we	PRON
ijassa-1186	170	3	assume	assume	VERB
ijassa-1186	170	4	that	that	SCONJ
ijassa-1186	170	5	the	the	DET
ijassa-1186	170	6	number	number	NOUN
ijassa-1186	170	7	of	of	ADP
ijassa-1186	170	8	steps	step	NOUN
ijassa-1186	170	9	k	k	X
ijassa-1186	170	10	is	be	AUX
ijassa-1186	170	11	limited	limit	VERB
ijassa-1186	170	12	as	as	ADP
ijassa-1186	170	13	k	k	PROPN
ijassa-1186	170	14	≤	≤	PROPN
ijassa-1186	170	15	k	k	PROPN
ijassa-1186	170	16	′.	′.	NOUN
ijassa-1186	170	17	we	we	PRON
ijassa-1186	170	18	define	define	VERB
ijassa-1186	170	19	the	the	DET
ijassa-1186	170	20	number	number	NOUN
ijassa-1186	170	21	of	of	ADP
ijassa-1186	170	22	clock	clock	NOUN
ijassa-1186	170	23	ticks	tick	NOUN
ijassa-1186	170	24	required	require	VERB
ijassa-1186	170	25	to	to	PART
ijassa-1186	170	26	disseminate	disseminate	VERB
ijassa-1186	170	27	the	the	DET
ijassa-1186	170	28	message	message	NOUN
ijassa-1186	170	29	from	from	ADP
ijassa-1186	170	30	an	an	DET
ijassa-1186	170	31	initial	initial	ADJ
ijassa-1186	170	32	node	node	NOUN
ijassa-1186	170	33	to	to	ADP
ijassa-1186	170	34	n	n	NUM
ijassa-1186	170	35	nodes	node	NOUN
ijassa-1186	170	36	with	with	ADP
ijassa-1186	170	37	probability	probability	NOUN
ijassa-1186	170	38	not	not	PART
ijassa-1186	170	39	less	less	ADJ
ijassa-1186	170	40	than	than	ADP
ijassa-1186	170	41	1−	1−	NUM
ijassa-1186	170	42	δ	δ	PROPN
ijassa-1186	170	43	as	as	ADP
ijassa-1186	170	44	k∗(n	k∗(n	PROPN
ijassa-1186	170	45	,	,	PUNCT
ijassa-1186	170	46	δ	δ	PROPN
ijassa-1186	170	47	)	)	PUNCT
ijassa-1186	170	48	=	=	VERB
ijassa-1186	170	49	inf{0	inf{0	VERB
ijassa-1186	170	50	<	<	X
ijassa-1186	170	51	k	k	PROPN
ijassa-1186	170	52	≤	≤	PROPN
ijassa-1186	171	1	k	k	PROPN
ijassa-1186	172	1	′	′	NUM
ijassa-1186	172	2	:	:	PUNCT
ijassa-1186	172	3	pr(|s(k)|	pr(|s(k)|	NOUN
ijassa-1186	172	4	=	=	SYM
ijassa-1186	172	5	n	n	CCONJ
ijassa-1186	172	6	)	)	PUNCT
ijassa-1186	172	7	>	>	X
ijassa-1186	172	8	1−	1−	NUM
ijassa-1186	172	9	δ	δ	X
ijassa-1186	172	10	}	}	PUNCT
ijassa-1186	172	11	,	,	PUNCT
ijassa-1186	172	12	δ	δ	PROPN
ijassa-1186	172	13	∈	∈	PROPN
ijassa-1186	172	14	(	(	PUNCT
ijassa-1186	172	15	0	0	NUM
ijassa-1186	172	16	,	,	PUNCT
ijassa-1186	172	17	1	1	NUM
ijassa-1186	172	18	)	)	PUNCT
ijassa-1186	172	19	.	.	PUNCT
ijassa-1186	173	1	here	here	ADV
ijassa-1186	173	2	,	,	PUNCT
ijassa-1186	173	3	s(k	s(k	ADV
ijassa-1186	173	4	)	)	PUNCT
ijassa-1186	173	5	denotes	denote	VERB
ijassa-1186	173	6	the	the	DET
ijassa-1186	173	7	number	number	NOUN
ijassa-1186	173	8	of	of	ADP
ijassa-1186	173	9	nodes	node	NOUN
ijassa-1186	173	10	which	which	PRON
ijassa-1186	173	11	received	receive	VERB
ijassa-1186	173	12	the	the	DET
ijassa-1186	173	13	message	message	NOUN
ijassa-1186	173	14	at	at	ADP
ijassa-1186	173	15	step	step	NOUN
ijassa-1186	173	16	k.	k.	PROPN
ijassa-1186	174	1	let	let	VERB
ijassa-1186	174	2	us	we	PRON
ijassa-1186	174	3	take	take	VERB
ijassa-1186	174	4	k	k	PROPN
ijassa-1186	174	5	′	′	NOUN
ijassa-1186	174	6	equal	equal	ADJ
ijassa-1186	174	7	to	to	ADP
ijassa-1186	174	8	5000	5000	NUM
ijassa-1186	174	9	.	.	PUNCT
ijassa-1186	175	1	then	then	ADV
ijassa-1186	175	2	s(k∗	s(k∗	ADV
ijassa-1186	175	3	)	)	PUNCT
ijassa-1186	175	4	<	<	X
ijassa-1186	176	1	n	n	PRON
ijassa-1186	176	2	means	mean	VERB
ijassa-1186	176	3	that	that	SCONJ
ijassa-1186	176	4	k	k	NOUN
ijassa-1186	176	5	′	′	NUM
ijassa-1186	176	6	steps	step	NOUN
ijassa-1186	176	7	of	of	ADP
ijassa-1186	176	8	the	the	DET
ijassa-1186	176	9	evolution	evolution	NOUN
ijassa-1186	176	10	are	be	AUX
ijassa-1186	176	11	likely	likely	ADJ
ijassa-1186	176	12	not	not	PART
ijassa-1186	176	13	enough	enough	ADJ
ijassa-1186	176	14	to	to	PART
ijassa-1186	176	15	disseminate	disseminate	VERB
ijassa-1186	176	16	the	the	DET
ijassa-1186	176	17	message	message	NOUN
ijassa-1186	176	18	to	to	ADP
ijassa-1186	176	19	n	n	PRON
ijassa-1186	176	20	nodes	node	NOUN
ijassa-1186	176	21	.	.	PUNCT
ijassa-1186	177	1	the	the	DET
ijassa-1186	177	2	delivery	delivery	NOUN
ijassa-1186	177	3	delay	delay	NOUN
ijassa-1186	177	4	is	be	AUX
ijassa-1186	177	5	not	not	PART
ijassa-1186	177	6	less	less	ADJ
ijassa-1186	177	7	than	than	ADP
ijassa-1186	177	8	∑k′	∑k′	PROPN
ijassa-1186	177	9	i=1	i=1	PROPN
ijassa-1186	177	10	τi	τi	VERB
ijassa-1186	177	11	since	since	SCONJ
ijassa-1186	177	12	the	the	DET
ijassa-1186	177	13	inter	inter	ADJ
ijassa-1186	177	14	-	-	NOUN
ijassa-1186	177	15	arrival	arrival	ADJ
ijassa-1186	177	16	times	time	NOUN
ijassa-1186	177	17	{	{	PUNCT
ijassa-1186	177	18	τi	τi	PROPN
ijassa-1186	177	19	}	}	PUNCT
ijassa-1186	177	20	between	between	ADP
ijassa-1186	177	21	the	the	DET
ijassa-1186	177	22	evolution	evolution	NOUN
ijassa-1186	177	23	steps	step	NOUN
ijassa-1186	177	24	are	be	AUX
ijassa-1186	177	25	exponential	exponential	ADJ
ijassa-1186	177	26	distributed	distribute	VERB
ijassa-1186	177	27	and	and	CCONJ
ijassa-1186	177	28	the	the	DET
ijassa-1186	177	29	message	message	NOUN
ijassa-1186	177	30	can	can	AUX
ijassa-1186	177	31	not	not	PART
ijassa-1186	177	32	be	be	AUX
ijassa-1186	177	33	spread	spread	VERB
ijassa-1186	177	34	if	if	SCONJ
ijassa-1186	177	35	the	the	DET
ijassa-1186	177	36	corresponding	corresponding	ADJ
ijassa-1186	177	37	edge	edge	NOUN
ijassa-1186	177	38	is	be	AUX
ijassa-1186	177	39	created	create	VERB
ijassa-1186	177	40	by	by	ADP
ijassa-1186	177	41	the	the	DET
ijassa-1186	177	42	α−	α−	PROPN
ijassa-1186	177	43	scheme	scheme	NOUN
ijassa-1186	177	44	.	.	PUNCT
ijassa-1186	178	1	results	result	NOUN
ijassa-1186	178	2	of	of	ADP
ijassa-1186	178	3	the	the	DET
ijassa-1186	178	4	comparison	comparison	NOUN
ijassa-1186	178	5	of	of	ADP
ijassa-1186	178	6	the	the	DET
ijassa-1186	178	7	pa	pa	PROPN
ijassa-1186	178	8	and	and	CCONJ
ijassa-1186	178	9	the	the	DET
ijassa-1186	178	10	spread	spread	ADJ
ijassa-1186	178	11	algorithms	algorithm	NOUN
ijassa-1186	178	12	for	for	ADP
ijassa-1186	178	13	n	n	NOUN
ijassa-1186	178	14	=	=	SYM
ijassa-1186	178	15	100	100	NUM
ijassa-1186	178	16	nodes	node	NOUN
ijassa-1186	178	17	are	be	AUX
ijassa-1186	178	18	presented	present	VERB
ijassa-1186	178	19	in	in	ADP
ijassa-1186	178	20	fig	fig	NOUN
ijassa-1186	178	21	.	.	PUNCT
ijassa-1186	179	1	3.1	3.1	NUM
ijassa-1186	179	2	.	.	PUNCT
ijassa-1186	179	3	fig	fig	NOUN
ijassa-1186	179	4	.	.	PUNCT
ijassa-1186	180	1	3.1	3.1	NUM
ijassa-1186	180	2	(	(	PUNCT
ijassa-1186	180	3	left	left	ADJ
ijassa-1186	180	4	)	)	PUNCT
ijassa-1186	180	5	shows	show	VERB
ijassa-1186	180	6	the	the	DET
ijassa-1186	180	7	average	average	ADJ
ijassa-1186	180	8	〈	〈	PROPN
ijassa-1186	180	9	k∗	k∗	PROPN
ijassa-1186	180	10	〉	〉	PROPN
ijassa-1186	180	11	against	against	ADP
ijassa-1186	180	12	the	the	DET
ijassa-1186	180	13	average	average	ADJ
ijassa-1186	180	14	〈	〈	PROPN
ijassa-1186	180	15	q(k∗	q(k∗	NOUN
ijassa-1186	180	16	)	)	PUNCT
ijassa-1186	180	17	〉	〉	NOUN
ijassa-1186	180	18	over	over	ADP
ijassa-1186	180	19	100	100	NUM
ijassa-1186	180	20	simulated	simulated	ADJ
ijassa-1186	180	21	graphs	graph	NOUN
ijassa-1186	180	22	,	,	PUNCT
ijassa-1186	180	23	where	where	SCONJ
ijassa-1186	180	24	q(k	q(k	NOUN
ijassa-1186	180	25	)	)	PUNCT
ijassa-1186	181	1	=	=	SYM
ijassa-1186	181	2	|s(k)|	|s(k)|	PROPN
ijassa-1186	181	3	n(k	n(k	PROPN
ijassa-1186	181	4	)	)	PUNCT
ijassa-1186	181	5	is	be	AUX
ijassa-1186	181	6	a	a	DET
ijassa-1186	181	7	proportion	proportion	NOUN
ijassa-1186	181	8	of	of	ADP
ijassa-1186	181	9	nodes	node	NOUN
ijassa-1186	181	10	that	that	PRON
ijassa-1186	181	11	received	receive	VERB
ijassa-1186	181	12	the	the	DET
ijassa-1186	181	13	message	message	NOUN
ijassa-1186	181	14	in	in	ADP
ijassa-1186	181	15	the	the	DET
ijassa-1186	181	16	graph	graph	NOUN
ijassa-1186	181	17	g(k	g(k	NOUN
ijassa-1186	181	18	)	)	PUNCT
ijassa-1186	181	19	.	.	PUNCT
ijassa-1186	182	1	the	the	DET
ijassa-1186	182	2	q(k	q(k	NOUN
ijassa-1186	182	3	)	)	PUNCT
ijassa-1186	182	4	that	that	PRON
ijassa-1186	182	5	is	be	AUX
ijassa-1186	182	6	close	close	ADJ
ijassa-1186	182	7	to	to	ADP
ijassa-1186	182	8	zero	zero	NUM
ijassa-1186	182	9	means	mean	VERB
ijassa-1186	182	10	a	a	DET
ijassa-1186	182	11	small	small	ADJ
ijassa-1186	182	12	part	part	NOUN
ijassa-1186	182	13	of	of	ADP
ijassa-1186	182	14	nodes	node	NOUN
ijassa-1186	182	15	received	receive	VERB
ijassa-1186	182	16	the	the	DET
ijassa-1186	182	17	message	message	NOUN
ijassa-1186	182	18	at	at	ADP
ijassa-1186	182	19	the	the	DET
ijassa-1186	182	20	tick	tick	NOUN
ijassa-1186	182	21	k.	k.	PROPN
ijassa-1186	182	22	q(k	q(k	PROPN
ijassa-1186	182	23	)	)	PUNCT
ijassa-1186	183	1	=	=	SYM
ijassa-1186	183	2	1	1	NUM
ijassa-1186	183	3	means	mean	VERB
ijassa-1186	183	4	that	that	SCONJ
ijassa-1186	183	5	all	all	DET
ijassa-1186	183	6	nodes	node	NOUN
ijassa-1186	183	7	in	in	ADP
ijassa-1186	183	8	the	the	DET
ijassa-1186	183	9	graph	graph	NOUN
ijassa-1186	183	10	have	have	AUX
ijassa-1186	183	11	received	receive	VERB
ijassa-1186	183	12	the	the	DET
ijassa-1186	183	13	message	message	NOUN
ijassa-1186	183	14	.	.	PUNCT
ijassa-1186	184	1	in	in	ADP
ijassa-1186	184	2	the	the	DET
ijassa-1186	184	3	top	top	ADJ
ijassa-1186	184	4	line	line	NOUN
ijassa-1186	184	5	of	of	ADP
ijassa-1186	184	6	fig	fig	NOUN
ijassa-1186	184	7	.	.	PUNCT
ijassa-1186	185	1	3.1	3.1	NUM
ijassa-1186	185	2	,	,	PUNCT
ijassa-1186	185	3	we	we	PRON
ijassa-1186	185	4	obtain	obtain	VERB
ijassa-1186	185	5	for	for	ADP
ijassa-1186	185	6	the	the	DET
ijassa-1186	185	7	pa	pa	NOUN
ijassa-1186	185	8	that	that	SCONJ
ijassa-1186	185	9	the	the	DET
ijassa-1186	185	10	spreading	spread	VERB
ijassa-1186	185	11	rate	rate	NOUN
ijassa-1186	185	12	depends	depend	VERB
ijassa-1186	185	13	on	on	ADP
ijassa-1186	185	14	the	the	DET
ijassa-1186	185	15	β	β	NOUN
ijassa-1186	185	16	value	value	NOUN
ijassa-1186	185	17	for	for	ADP
ijassa-1186	185	18	the	the	DET
ijassa-1186	185	19	same	same	ADJ
ijassa-1186	185	20	γ	γ	X
ijassa-1186	185	21	.	.	PUNCT
ijassa-1186	186	1	the	the	DET
ijassa-1186	186	2	β	β	NOUN
ijassa-1186	186	3	value	value	NOUN
ijassa-1186	186	4	near	near	ADP
ijassa-1186	186	5	0	0	NUM
ijassa-1186	186	6	corresponds	correspond	NOUN
ijassa-1186	186	7	to	to	ADP
ijassa-1186	186	8	the	the	DET
ijassa-1186	186	9	information	information	NOUN
ijassa-1186	186	10	spreading	spread	VERB
ijassa-1186	186	11	mostly	mostly	ADV
ijassa-1186	186	12	to	to	ADP
ijassa-1186	186	13	newly	newly	ADV
ijassa-1186	186	14	appearing	appearing	ADJ
ijassa-1186	186	15	nodes	node	NOUN
ijassa-1186	186	16	by	by	ADP
ijassa-1186	186	17	the	the	DET
ijassa-1186	186	18	γ−schema	γ−schema	PROPN
ijassa-1186	186	19	.	.	PUNCT
ijassa-1186	187	1	the	the	DET
ijassa-1186	187	2	β	β	PROPN
ijassa-1186	187	3	value	value	NOUN
ijassa-1186	187	4	near	near	ADP
ijassa-1186	187	5	1	1	NUM
ijassa-1186	187	6	means	mean	VERB
ijassa-1186	187	7	the	the	DET
ijassa-1186	187	8	information	information	NOUN
ijassa-1186	187	9	is	be	AUX
ijassa-1186	187	10	delivered	deliver	VERB
ijassa-1186	187	11	mostly	mostly	ADV
ijassa-1186	187	12	between	between	ADP
ijassa-1186	187	13	existed	exist	VERB
ijassa-1186	187	14	nodes	node	NOUN
ijassa-1186	187	15	by	by	ADP
ijassa-1186	187	16	the	the	DET
ijassa-1186	187	17	β−schema	β−schema	NOUN
ijassa-1186	187	18	.	.	PUNCT
ijassa-1186	188	1	these	these	DET
ijassa-1186	188	2	situations	situation	NOUN
ijassa-1186	188	3	may	may	AUX
ijassa-1186	188	4	need	need	VERB
ijassa-1186	188	5	the	the	DET
ijassa-1186	188	6	same	same	ADJ
ijassa-1186	188	7	tick	tick	NOUN
ijassa-1186	188	8	number	number	NOUN
ijassa-1186	188	9	for	for	ADP
ijassa-1186	188	10	the	the	DET
ijassa-1186	188	11	spreading	spreading	NOUN
ijassa-1186	188	12	.	.	PUNCT
ijassa-1186	189	1	for	for	ADP
ijassa-1186	189	2	the	the	DET
ijassa-1186	189	3	spread	spread	NOUN
ijassa-1186	189	4	,	,	PUNCT
ijassa-1186	189	5	values	value	NOUN
ijassa-1186	189	6	of	of	ADP
ijassa-1186	189	7	the	the	DET
ijassa-1186	189	8	β	β	PROPN
ijassa-1186	189	9	and	and	CCONJ
ijassa-1186	189	10	γ	γ	PROPN
ijassa-1186	189	11	affect	affect	VERB
ijassa-1186	189	12	the	the	DET
ijassa-1186	189	13	number	number	NOUN
ijassa-1186	189	14	of	of	ADP
ijassa-1186	189	15	ticks	tick	NOUN
ijassa-1186	189	16	.	.	PUNCT
ijassa-1186	190	1	the	the	DET
ijassa-1186	190	2	β	β	PROPN
ijassa-1186	190	3	value	value	NOUN
ijassa-1186	190	4	near	near	ADP
ijassa-1186	190	5	1	1	NUM
ijassa-1186	190	6	corresponds	correspond	NOUN
ijassa-1186	190	7	to	to	ADP
ijassa-1186	190	8	the	the	DET
ijassa-1186	190	9	large	large	ADJ
ijassa-1186	190	10	connections	connection	NOUN
ijassa-1186	190	11	between	between	ADP
ijassa-1186	190	12	nodes	node	NOUN
ijassa-1186	190	13	in	in	ADP
ijassa-1186	190	14	some	some	DET
ijassa-1186	190	15	sets	set	NOUN
ijassa-1186	190	16	,	,	PUNCT
ijassa-1186	190	17	which	which	PRON
ijassa-1186	190	18	create	create	VERB
ijassa-1186	190	19	the	the	DET
ijassa-1186	190	20	information	information	NOUN
ijassa-1186	190	21	”	"	PUNCT
ijassa-1186	190	22	stucking	stucking	NOUN
ijassa-1186	190	23	”	"	PUNCT
ijassa-1186	190	24	in	in	ADP
ijassa-1186	190	25	nodes	node	NOUN
ijassa-1186	190	26	.	.	PUNCT
ijassa-1186	191	1	however	however	ADV
ijassa-1186	191	2	,	,	PUNCT
ijassa-1186	191	3	for	for	ADP
ijassa-1186	191	4	the	the	DET
ijassa-1186	191	5	larger	large	ADJ
ijassa-1186	191	6	γ	γ	PROPN
ijassa-1186	191	7	〈	〈	PROPN
ijassa-1186	191	8	k∗	k∗	PROPN
ijassa-1186	191	9	〉	〉	PROPN
ijassa-1186	191	10	becomes	become	VERB
ijassa-1186	191	11	less	less	ADV
ijassa-1186	191	12	dependent	dependent	ADJ
ijassa-1186	191	13	on	on	ADP
ijassa-1186	191	14	the	the	DET
ijassa-1186	191	15	β	β	NOUN
ijassa-1186	191	16	.	.	PUNCT
ijassa-1186	192	1	in	in	ADP
ijassa-1186	192	2	fig	fig	NOUN
ijassa-1186	192	3	.	.	PUNCT
ijassa-1186	193	1	3.1	3.1	NUM
ijassa-1186	193	2	(	(	PUNCT
ijassa-1186	193	3	middle	middle	NOUN
ijassa-1186	193	4	)	)	PUNCT
ijassa-1186	193	5	we	we	PRON
ijassa-1186	193	6	show	show	VERB
ijassa-1186	193	7	the	the	DET
ijassa-1186	193	8	proportion	proportion	NOUN
ijassa-1186	193	9	of	of	ADP
ijassa-1186	193	10	the	the	DET
ijassa-1186	193	11	{	{	PUNCT
ijassa-1186	193	12	s(k∗	s(k∗	NOUN
ijassa-1186	193	13	)	)	PUNCT
ijassa-1186	193	14	<	<	X
ijassa-1186	193	15	n	n	CCONJ
ijassa-1186	193	16	}	}	PUNCT
ijassa-1186	193	17	events	event	NOUN
ijassa-1186	193	18	for	for	ADP
ijassa-1186	193	19	the	the	DET
ijassa-1186	193	20	α	α	PROPN
ijassa-1186	193	21	,	,	PUNCT
ijassa-1186	193	22	β	β	X
ijassa-1186	193	23	,	,	PUNCT
ijassa-1186	193	24	γ	γ	PROPN
ijassa-1186	193	25	values	value	NOUN
ijassa-1186	193	26	.	.	PUNCT
ijassa-1186	194	1	for	for	ADP
ijassa-1186	194	2	the	the	DET
ijassa-1186	194	3	pa	pa	PROPN
ijassa-1186	194	4	,	,	PUNCT
ijassa-1186	194	5	these	these	DET
ijassa-1186	194	6	events	event	NOUN
ijassa-1186	194	7	are	be	AUX
ijassa-1186	194	8	extremely	extremely	ADV
ijassa-1186	194	9	rare	rare	ADJ
ijassa-1186	194	10	except	except	SCONJ
ijassa-1186	194	11	the	the	DET
ijassa-1186	194	12	case	case	NOUN
ijassa-1186	194	13	of	of	ADP
ijassa-1186	194	14	the	the	DET
ijassa-1186	194	15	value	value	NOUN
ijassa-1186	194	16	γ	γ	X
ijassa-1186	194	17	≤	≤	NOUN
ijassa-1186	194	18	0.04	0.04	NUM
ijassa-1186	194	19	.	.	PUNCT
ijassa-1186	195	1	this	this	DET
ijassa-1186	195	2	copyright	copyright	NOUN
ijassa-1186	195	3	©	©	ADP
ijassa-1186	195	4	2022	2022	NUM
ijassa-1186	195	5	assa	assa	NOUN
ijassa-1186	195	6	.	.	PUNCT
ijassa-1186	196	1	adv	adv	PROPN
ijassa-1186	196	2	syst	syst	PROPN
ijassa-1186	196	3	sci	sci	PROPN
ijassa-1186	196	4	appl	appl	PROPN
ijassa-1186	196	5	(	(	PUNCT
ijassa-1186	196	6	2022	2022	NUM
ijassa-1186	196	7	)	)	PUNCT
ijassa-1186	196	8	information	information	NOUN
ijassa-1186	196	9	spreading	spread	VERB
ijassa-1186	196	10	and	and	CCONJ
ijassa-1186	196	11	evolution	evolution	NOUN
ijassa-1186	196	12	of	of	ADP
ijassa-1186	196	13	non	non	ADJ
ijassa-1186	196	14	-	-	ADJ
ijassa-1186	196	15	homogeneous	homogeneous	ADJ
ijassa-1186	196	16	networks	network	NOUN
ijassa-1186	196	17	27	27	NUM
ijassa-1186	196	18	fig	fig	NOUN
ijassa-1186	196	19	.	.	PUNCT
ijassa-1186	197	1	3.1	3.1	NUM
ijassa-1186	197	2	.	.	PUNCT
ijassa-1186	198	1	the	the	DET
ijassa-1186	198	2	average	average	ADJ
ijassa-1186	198	3	clock	clock	NOUN
ijassa-1186	198	4	ticks	tick	NOUN
ijassa-1186	198	5	〈	〈	AUX
ijassa-1186	198	6	k∗	k∗	VERB
ijassa-1186	198	7	〉	〉	PROPN
ijassa-1186	198	8	against	against	ADP
ijassa-1186	198	9	the	the	DET
ijassa-1186	198	10	average	average	ADJ
ijassa-1186	198	11	〈	〈	PROPN
ijassa-1186	198	12	q(k∗	q(k∗	ADJ
ijassa-1186	198	13	)	)	PUNCT
ijassa-1186	198	14	〉	〉	PROPN
ijassa-1186	198	15	(	(	PUNCT
ijassa-1186	198	16	left	leave	VERB
ijassa-1186	198	17	)	)	PUNCT
ijassa-1186	198	18	;	;	PUNCT
ijassa-1186	198	19	the	the	DET
ijassa-1186	198	20	parameter	parameter	NOUN
ijassa-1186	198	21	β	β	X
ijassa-1186	198	22	against	against	ADP
ijassa-1186	198	23	the	the	DET
ijassa-1186	198	24	probability	probability	NOUN
ijassa-1186	198	25	of	of	ADP
ijassa-1186	198	26	s(k∗	s(k∗	ADV
ijassa-1186	198	27	)	)	PUNCT
ijassa-1186	198	28	<	<	X
ijassa-1186	198	29	n	n	PRON
ijassa-1186	198	30	event	event	NOUN
ijassa-1186	198	31	(	(	PUNCT
ijassa-1186	198	32	middle	middle	NOUN
ijassa-1186	198	33	)	)	PUNCT
ijassa-1186	198	34	;	;	PUNCT
ijassa-1186	198	35	〈	〈	PROPN
ijassa-1186	198	36	k∗	k∗	VERB
ijassa-1186	198	37	〉	〉	PROPN
ijassa-1186	198	38	against	against	ADP
ijassa-1186	198	39	β	β	PROPN
ijassa-1186	198	40	.	.	NOUN
ijassa-1186	198	41	100	100	NUM
ijassa-1186	198	42	simulations	simulation	NOUN
ijassa-1186	198	43	with	with	ADP
ijassa-1186	198	44	the	the	DET
ijassa-1186	198	45	same	same	ADJ
ijassa-1186	198	46	parameters	parameter	NOUN
ijassa-1186	198	47	are	be	AUX
ijassa-1186	198	48	taken	take	VERB
ijassa-1186	198	49	for	for	ADP
ijassa-1186	198	50	the	the	DET
ijassa-1186	198	51	pa	pa	PROPN
ijassa-1186	198	52	schemes	scheme	NOUN
ijassa-1186	198	53	(	(	PUNCT
ijassa-1186	198	54	top	top	ADJ
ijassa-1186	198	55	line	line	NOUN
ijassa-1186	198	56	)	)	PUNCT
ijassa-1186	198	57	and	and	CCONJ
ijassa-1186	198	58	the	the	DET
ijassa-1186	198	59	spread	spread	ADJ
ijassa-1186	198	60	algorithm	algorithm	NOUN
ijassa-1186	198	61	(	(	PUNCT
ijassa-1186	198	62	bottom	bottom	ADJ
ijassa-1186	198	63	line	line	NOUN
ijassa-1186	198	64	)	)	PUNCT
ijassa-1186	198	65	.	.	PUNCT
ijassa-1186	199	1	in	in	ADP
ijassa-1186	199	2	the	the	DET
ijassa-1186	199	3	left	left	ADJ
ijassa-1186	199	4	figures	figure	NOUN
ijassa-1186	199	5	,	,	PUNCT
ijassa-1186	199	6	the	the	DET
ijassa-1186	199	7	point	point	NOUN
ijassa-1186	199	8	sizes	size	NOUN
ijassa-1186	199	9	are	be	AUX
ijassa-1186	199	10	proportional	proportional	ADJ
ijassa-1186	199	11	to	to	ADP
ijassa-1186	199	12	the	the	DET
ijassa-1186	199	13	value	value	NOUN
ijassa-1186	199	14	of	of	ADP
ijassa-1186	199	15	β	β	X
ijassa-1186	199	16	∈	∈	PROPN
ijassa-1186	200	1	[	[	X
ijassa-1186	200	2	0.04	0.04	NUM
ijassa-1186	200	3	,	,	PUNCT
ijassa-1186	200	4	0.96	0.96	NUM
ijassa-1186	200	5	]	]	PUNCT
ijassa-1186	200	6	,	,	PUNCT
ijassa-1186	200	7	in	in	ADP
ijassa-1186	200	8	middle	middle	ADJ
ijassa-1186	200	9	and	and	CCONJ
ijassa-1186	200	10	right	right	ADJ
ijassa-1186	200	11	figures	figure	NOUN
ijassa-1186	200	12	to	to	ADP
ijassa-1186	200	13	the	the	DET
ijassa-1186	200	14	value	value	NOUN
ijassa-1186	200	15	of	of	ADP
ijassa-1186	200	16	γ	γ	PROPN
ijassa-1186	200	17	∈	∈	PROPN
ijassa-1186	200	18	[	[	X
ijassa-1186	200	19	0.04	0.04	NUM
ijassa-1186	200	20	,	,	PUNCT
ijassa-1186	200	21	0.96	0.96	NUM
ijassa-1186	200	22	]	]	PUNCT
ijassa-1186	200	23	.	.	PUNCT
ijassa-1186	201	1	is	be	AUX
ijassa-1186	201	2	the	the	DET
ijassa-1186	201	3	opposite	opposite	NOUN
ijassa-1186	201	4	to	to	ADP
ijassa-1186	201	5	the	the	DET
ijassa-1186	201	6	spread	spread	NOUN
ijassa-1186	201	7	,	,	PUNCT
ijassa-1186	201	8	where	where	SCONJ
ijassa-1186	201	9	the	the	DET
ijassa-1186	201	10	increase	increase	NOUN
ijassa-1186	201	11	of	of	ADP
ijassa-1186	201	12	the	the	DET
ijassa-1186	201	13	β	β	NOUN
ijassa-1186	201	14	value	value	NOUN
ijassa-1186	201	15	causes	cause	VERB
ijassa-1186	201	16	the	the	DET
ijassa-1186	201	17	increase	increase	NOUN
ijassa-1186	201	18	of	of	ADP
ijassa-1186	201	19	the	the	DET
ijassa-1186	201	20	{	{	PUNCT
ijassa-1186	201	21	s(k∗	s(k∗	NOUN
ijassa-1186	201	22	)	)	PUNCT
ijassa-1186	201	23	<	<	X
ijassa-1186	201	24	n	n	CCONJ
ijassa-1186	201	25	}	}	PUNCT
ijassa-1186	201	26	event	event	NOUN
ijassa-1186	201	27	probability	probability	NOUN
ijassa-1186	201	28	.	.	PUNCT
ijassa-1186	202	1	in	in	ADP
ijassa-1186	202	2	fig	fig	NOUN
ijassa-1186	202	3	.	.	PUNCT
ijassa-1186	203	1	3.1	3.1	NUM
ijassa-1186	203	2	(	(	PUNCT
ijassa-1186	203	3	right	right	ADJ
ijassa-1186	203	4	)	)	PUNCT
ijassa-1186	203	5	we	we	PRON
ijassa-1186	203	6	show	show	VERB
ijassa-1186	203	7	〈	〈	PROPN
ijassa-1186	203	8	k∗	k∗	PROPN
ijassa-1186	203	9	〉	〉	PROPN
ijassa-1186	203	10	for	for	ADP
ijassa-1186	203	11	the	the	DET
ijassa-1186	203	12	α	α	PROPN
ijassa-1186	203	13	,	,	PUNCT
ijassa-1186	203	14	β	β	X
ijassa-1186	203	15	,	,	PUNCT
ijassa-1186	203	16	γ	γ	PROPN
ijassa-1186	203	17	values	value	NOUN
ijassa-1186	203	18	.	.	PUNCT
ijassa-1186	204	1	for	for	ADP
ijassa-1186	204	2	the	the	DET
ijassa-1186	204	3	pa	pa	PROPN
ijassa-1186	204	4	and	and	CCONJ
ijassa-1186	204	5	the	the	DET
ijassa-1186	204	6	spread	spread	NOUN
ijassa-1186	204	7	,	,	PUNCT
ijassa-1186	204	8	we	we	PRON
ijassa-1186	204	9	receive	receive	VERB
ijassa-1186	204	10	the	the	DET
ijassa-1186	204	11	same	same	ADJ
ijassa-1186	204	12	result	result	NOUN
ijassa-1186	204	13	that	that	SCONJ
ijassa-1186	204	14	the	the	DET
ijassa-1186	204	15	decrease	decrease	NOUN
ijassa-1186	204	16	of	of	ADP
ijassa-1186	204	17	the	the	DET
ijassa-1186	204	18	β	β	NOUN
ijassa-1186	204	19	value	value	NOUN
ijassa-1186	204	20	allows	allow	VERB
ijassa-1186	204	21	to	to	PART
ijassa-1186	204	22	spread	spread	VERB
ijassa-1186	204	23	the	the	DET
ijassa-1186	204	24	message	message	NOUN
ijassa-1186	204	25	quicker	quick	ADV
ijassa-1186	204	26	.	.	PUNCT
ijassa-1186	205	1	this	this	PRON
ijassa-1186	205	2	corresponds	correspond	VERB
ijassa-1186	205	3	to	to	ADP
ijassa-1186	205	4	a	a	DET
ijassa-1186	205	5	graph	graph	NOUN
ijassa-1186	205	6	with	with	ADP
ijassa-1186	205	7	a	a	DET
ijassa-1186	205	8	less	less	ADJ
ijassa-1186	205	9	number	number	NOUN
ijassa-1186	205	10	of	of	ADP
ijassa-1186	205	11	edges	edge	NOUN
ijassa-1186	205	12	between	between	ADP
ijassa-1186	205	13	the	the	DET
ijassa-1186	205	14	nodes	node	NOUN
ijassa-1186	205	15	,	,	PUNCT
ijassa-1186	205	16	in	in	ADP
ijassa-1186	205	17	which	which	PRON
ijassa-1186	205	18	the	the	DET
ijassa-1186	205	19	information	information	NOUN
ijassa-1186	205	20	may	may	AUX
ijassa-1186	205	21	spread	spread	VERB
ijassa-1186	205	22	quicker	quick	ADV
ijassa-1186	205	23	.	.	PUNCT
ijassa-1186	206	1	as	as	ADP
ijassa-1186	206	2	a	a	DET
ijassa-1186	206	3	result	result	NOUN
ijassa-1186	206	4	,	,	PUNCT
ijassa-1186	206	5	we	we	PRON
ijassa-1186	206	6	notice	notice	VERB
ijassa-1186	206	7	that	that	SCONJ
ijassa-1186	206	8	the	the	DET
ijassa-1186	206	9	choice	choice	NOUN
ijassa-1186	206	10	of	of	ADP
ijassa-1186	206	11	the	the	DET
ijassa-1186	206	12	set	set	PROPN
ijassa-1186	206	13	α	α	NOUN
ijassa-1186	206	14	,	,	PUNCT
ijassa-1186	206	15	β	β	X
ijassa-1186	206	16	,	,	PUNCT
ijassa-1186	206	17	γ	γ	PROPN
ijassa-1186	206	18	can	can	AUX
ijassa-1186	206	19	make	make	VERB
ijassa-1186	206	20	the	the	DET
ijassa-1186	206	21	spreading	spreading	NOUN
ijassa-1186	206	22	by	by	ADP
ijassa-1186	206	23	the	the	DET
ijassa-1186	206	24	pa	pa	PROPN
ijassa-1186	206	25	more	more	ADV
ijassa-1186	206	26	effective	effective	ADJ
ijassa-1186	206	27	than	than	ADP
ijassa-1186	206	28	by	by	ADP
ijassa-1186	206	29	the	the	DET
ijassa-1186	206	30	spread	spread	NOUN
ijassa-1186	206	31	.	.	PUNCT
ijassa-1186	207	1	fig	fig	NOUN
ijassa-1186	207	2	.	.	PUNCT
ijassa-1186	208	1	3.2	3.2	NUM
ijassa-1186	208	2	shows	show	VERB
ijassa-1186	208	3	the	the	DET
ijassa-1186	208	4	impact	impact	NOUN
ijassa-1186	208	5	of	of	ADP
ijassa-1186	208	6	the	the	DET
ijassa-1186	208	7	parameters	parameter	NOUN
ijassa-1186	208	8	β	β	X
ijassa-1186	208	9	and	and	CCONJ
ijassa-1186	208	10	γ	γ	X
ijassa-1186	208	11	on	on	ADP
ijassa-1186	208	12	log(k∗pa	log(k∗pa	PROPN
ijassa-1186	208	13	/	/	SYM
ijassa-1186	208	14	k	k	PROPN
ijassa-1186	208	15	∗	∗	NOUN
ijassa-1186	208	16	spread	spread	NOUN
ijassa-1186	208	17	)	)	PUNCT
ijassa-1186	208	18	as	as	ADP
ijassa-1186	208	19	an	an	DET
ijassa-1186	208	20	averaging	averaging	NOUN
ijassa-1186	208	21	over	over	ADP
ijassa-1186	208	22	100	100	NUM
ijassa-1186	208	23	resamples	resample	NOUN
ijassa-1186	208	24	.	.	PUNCT
ijassa-1186	209	1	let	let	VERB
ijassa-1186	209	2	us	we	PRON
ijassa-1186	209	3	recall	recall	VERB
ijassa-1186	209	4	that	that	SCONJ
ijassa-1186	209	5	α	α	PROPN
ijassa-1186	209	6	is	be	AUX
ijassa-1186	209	7	calculated	calculate	VERB
ijassa-1186	209	8	as	as	ADP
ijassa-1186	209	9	α	α	X
ijassa-1186	209	10	=	=	SYM
ijassa-1186	209	11	1−	1−	NUM
ijassa-1186	209	12	β	β	NOUN
ijassa-1186	209	13	−	−	X
ijassa-1186	209	14	γ	γ	X
ijassa-1186	209	15	.	.	PUNCT
ijassa-1186	210	1	we	we	PRON
ijassa-1186	210	2	define	define	VERB
ijassa-1186	210	3	the	the	DET
ijassa-1186	210	4	parameter	parameter	NOUN
ijassa-1186	210	5	sets	set	NOUN
ijassa-1186	210	6	corresponding	correspond	VERB
ijassa-1186	210	7	tok∗pa	tok∗pa	X
ijassa-1186	210	8	=	=	PUNCT
ijassa-1186	210	9	k∗spread	k∗spread	NOUN
ijassa-1186	210	10	,	,	PUNCT
ijassa-1186	210	11	k∗pa	k∗pa	PROPN
ijassa-1186	210	12	>	>	X
ijassa-1186	210	13	k∗spread	k∗spread	VERB
ijassa-1186	210	14	andk∗pa	andk∗pa	PROPN
ijassa-1186	210	15	<	<	X
ijassa-1186	210	16	k∗spread	k∗spread	VERB
ijassa-1186	210	17	.	.	PUNCT
ijassa-1186	211	1	it	it	PRON
ijassa-1186	211	2	can	can	AUX
ijassa-1186	211	3	be	be	AUX
ijassa-1186	211	4	seen	see	VERB
ijassa-1186	211	5	,	,	PUNCT
ijassa-1186	211	6	that	that	SCONJ
ijassa-1186	211	7	the	the	DET
ijassa-1186	211	8	pa	pa	PROPN
ijassa-1186	211	9	can	can	AUX
ijassa-1186	211	10	spread	spread	VERB
ijassa-1186	211	11	a	a	DET
ijassa-1186	211	12	message	message	NOUN
ijassa-1186	211	13	better	well	ADV
ijassa-1186	211	14	if	if	SCONJ
ijassa-1186	211	15	γ	γ	X
ijassa-1186	211	16	>	>	X
ijassa-1186	211	17	0.51	0.51	NUM
ijassa-1186	211	18	or	or	CCONJ
ijassa-1186	211	19	β	β	ADJ
ijassa-1186	211	20	>	>	X
ijassa-1186	211	21	0.6	0.6	NUM
ijassa-1186	211	22	holds	hold	VERB
ijassa-1186	211	23	.	.	PUNCT
ijassa-1186	212	1	the	the	DET
ijassa-1186	212	2	options	option	NOUN
ijassa-1186	212	3	when	when	SCONJ
ijassa-1186	212	4	γ	γ	X
ijassa-1186	212	5	+	+	X
ijassa-1186	212	6	β	β	X
ijassa-1186	212	7	>	>	X
ijassa-1186	212	8	1	1	NUM
ijassa-1186	212	9	were	be	AUX
ijassa-1186	212	10	not	not	PART
ijassa-1186	212	11	considered	consider	VERB
ijassa-1186	212	12	because	because	SCONJ
ijassa-1186	212	13	α	α	PROPN
ijassa-1186	212	14	+	+	X
ijassa-1186	212	15	β	β	X
ijassa-1186	212	16	+	+	X
ijassa-1186	212	17	γ	γ	X
ijassa-1186	212	18	=	=	SYM
ijassa-1186	212	19	1	1	NUM
ijassa-1186	212	20	holds	hold	NOUN
ijassa-1186	212	21	.	.	PUNCT
ijassa-1186	213	1	4	4	X
ijassa-1186	213	2	.	.	X
ijassa-1186	213	3	investigation	investigation	NOUN
ijassa-1186	213	4	of	of	ADP
ijassa-1186	213	5	real	real	ADJ
ijassa-1186	213	6	graphs	graph	NOUN
ijassa-1186	213	7	here	here	ADV
ijassa-1186	213	8	,	,	PUNCT
ijassa-1186	213	9	we	we	PRON
ijassa-1186	213	10	study	study	VERB
ijassa-1186	213	11	the	the	DET
ijassa-1186	213	12	impact	impact	NOUN
ijassa-1186	213	13	of	of	ADP
ijassa-1186	213	14	a	a	DET
ijassa-1186	213	15	seed	seed	NOUN
ijassa-1186	213	16	network	network	NOUN
ijassa-1186	213	17	having	have	VERB
ijassa-1186	213	18	the	the	DET
ijassa-1186	213	19	message	message	NOUN
ijassa-1186	213	20	on	on	ADP
ijassa-1186	213	21	k∗(n	k∗(n	PROPN
ijassa-1186	213	22	,	,	PUNCT
ijassa-1186	213	23	δ	δ	PROPN
ijassa-1186	213	24	)	)	PUNCT
ijassa-1186	213	25	by	by	ADP
ijassa-1186	213	26	real	real	ADJ
ijassa-1186	213	27	data	datum	NOUN
ijassa-1186	213	28	.	.	PUNCT
ijassa-1186	214	1	we	we	PRON
ijassa-1186	214	2	investigate	investigate	VERB
ijassa-1186	214	3	the	the	DET
ijassa-1186	214	4	graph	graph	NOUN
ijassa-1186	214	5	obtained	obtain	VERB
ijassa-1186	214	6	by	by	ADP
ijassa-1186	214	7	the	the	DET
ijassa-1186	214	8	berkeley	berkeley	PROPN
ijassa-1186	214	9	-	-	PUNCT
ijassa-1186	214	10	stanford	stanford	PROPN
ijassa-1186	214	11	dataset	dataset	VERB
ijassa-1186	214	12	with	with	ADP
ijassa-1186	214	13	685230	685230	NUM
ijassa-1186	214	14	nodes	node	NOUN
ijassa-1186	214	15	and	and	CCONJ
ijassa-1186	214	16	7600595	7600595	NUM
ijassa-1186	214	17	edges	edge	VERB
ijassa-1186	214	18	[	[	X
ijassa-1186	214	19	14	14	NUM
ijassa-1186	214	20	]	]	PUNCT
ijassa-1186	214	21	,	,	PUNCT
ijassa-1186	214	22	which	which	PRON
ijassa-1186	214	23	represents	represent	VERB
ijassa-1186	214	24	web	web	NOUN
ijassa-1186	214	25	pages	page	NOUN
ijassa-1186	214	26	from	from	ADP
ijassa-1186	214	27	berkely.edu	berkely.edu	X
ijassa-1186	214	28	and	and	CCONJ
ijassa-1186	214	29	stanford.edu	stanford.edu	X
ijassa-1186	214	30	domains	domain	NOUN
ijassa-1186	214	31	that	that	PRON
ijassa-1186	214	32	are	be	AUX
ijassa-1186	214	33	connected	connect	VERB
ijassa-1186	214	34	in	in	ADP
ijassa-1186	214	35	a	a	DET
ijassa-1186	214	36	union	union	NOUN
ijassa-1186	214	37	network	network	NOUN
ijassa-1186	214	38	by	by	ADP
ijassa-1186	214	39	directed	direct	VERB
ijassa-1186	214	40	edges	edge	NOUN
ijassa-1186	214	41	as	as	ADP
ijassa-1186	214	42	hyperlinks	hyperlink	NOUN
ijassa-1186	214	43	between	between	ADP
ijassa-1186	214	44	them	they	PRON
ijassa-1186	214	45	.	.	PUNCT
ijassa-1186	215	1	within	within	ADP
ijassa-1186	215	2	this	this	DET
ijassa-1186	215	3	network	network	NOUN
ijassa-1186	215	4	we	we	PRON
ijassa-1186	215	5	select	select	VERB
ijassa-1186	215	6	a	a	DET
ijassa-1186	215	7	small	small	ADJ
ijassa-1186	215	8	part	part	NOUN
ijassa-1186	215	9	and	and	CCONJ
ijassa-1186	215	10	partition	partition	VERB
ijassa-1186	215	11	it	it	PRON
ijassa-1186	215	12	into	into	ADP
ijassa-1186	215	13	communities	community	NOUN
ijassa-1186	215	14	.	.	PUNCT
ijassa-1186	216	1	each	each	PRON
ijassa-1186	216	2	of	of	ADP
ijassa-1186	216	3	the	the	DET
ijassa-1186	216	4	latter	latter	ADJ
ijassa-1186	216	5	communities	community	NOUN
ijassa-1186	216	6	may	may	AUX
ijassa-1186	216	7	be	be	AUX
ijassa-1186	216	8	used	use	VERB
ijassa-1186	216	9	as	as	ADP
ijassa-1186	216	10	the	the	DET
ijassa-1186	216	11	seed	seed	NOUN
ijassa-1186	216	12	network	network	NOUN
ijassa-1186	216	13	.	.	PUNCT
ijassa-1186	217	1	starting	start	VERB
ijassa-1186	217	2	from	from	ADP
ijassa-1186	217	3	the	the	DET
ijassa-1186	217	4	seed	seed	NOUN
ijassa-1186	217	5	network	network	NOUN
ijassa-1186	217	6	we	we	PRON
ijassa-1186	217	7	apply	apply	VERB
ijassa-1186	217	8	the	the	DET
ijassa-1186	217	9	pa	pa	PROPN
ijassa-1186	217	10	schemes	scheme	NOUN
ijassa-1186	217	11	to	to	PART
ijassa-1186	217	12	evolve	evolve	VERB
ijassa-1186	217	13	the	the	DET
ijassa-1186	217	14	graph	graph	NOUN
ijassa-1186	217	15	.	.	PUNCT
ijassa-1186	218	1	using	use	VERB
ijassa-1186	218	2	the	the	DET
ijassa-1186	218	3	obtained	obtain	VERB
ijassa-1186	218	4	evolved	evolved	ADJ
ijassa-1186	218	5	graph	graph	NOUN
ijassa-1186	218	6	we	we	PRON
ijassa-1186	218	7	apply	apply	VERB
ijassa-1186	218	8	the	the	DET
ijassa-1186	218	9	spread	spread	ADJ
ijassa-1186	218	10	algorithm	algorithm	NOUN
ijassa-1186	218	11	and	and	CCONJ
ijassa-1186	218	12	compare	compare	VERB
ijassa-1186	218	13	its	its	PRON
ijassa-1186	218	14	capacity	capacity	NOUN
ijassa-1186	218	15	with	with	ADP
ijassa-1186	218	16	the	the	DET
ijassa-1186	218	17	pa	pa	PROPN
ijassa-1186	218	18	with	with	ADP
ijassa-1186	218	19	regard	regard	NOUN
ijassa-1186	218	20	to	to	ADP
ijassa-1186	218	21	the	the	DET
ijassa-1186	218	22	spreading	spread	VERB
ijassa-1186	218	23	rate	rate	NOUN
ijassa-1186	218	24	.	.	PUNCT
ijassa-1186	219	1	the	the	DET
ijassa-1186	219	2	underlying	underlying	ADJ
ijassa-1186	219	3	directed	direct	VERB
ijassa-1186	219	4	graph	graph	NOUN
ijassa-1186	219	5	g	g	PROPN
ijassa-1186	219	6	=	=	PUNCT
ijassa-1186	219	7	(	(	PUNCT
ijassa-1186	219	8	v	v	NOUN
ijassa-1186	219	9	,	,	PUNCT
ijassa-1186	219	10	e	e	NOUN
ijassa-1186	219	11	)	)	PUNCT
ijassa-1186	219	12	is	be	AUX
ijassa-1186	219	13	partitioned	partition	VERB
ijassa-1186	219	14	into	into	ADP
ijassa-1186	219	15	communities	community	NOUN
ijassa-1186	219	16	{	{	PUNCT
ijassa-1186	219	17	ci}5	ci}5	X
ijassa-1186	219	18	i=1,⋃5	i=1,⋃5	NOUN
ijassa-1186	219	19	i=1ci	i=1ci	VERB
ijassa-1186	219	20	=	=	NOUN
ijassa-1186	219	21	v	v	NOUN
ijassa-1186	219	22	,	,	PUNCT
ijassa-1186	219	23	ci	ci	PROPN
ijassa-1186	219	24	⋂	⋂	PROPN
ijassa-1186	219	25	cj	cj	NOUN
ijassa-1186	219	26	=	=	NOUN
ijassa-1186	219	27	∅	∅	NOUN
ijassa-1186	219	28	,	,	PUNCT
ijassa-1186	219	29	i	i	PROPN
ijassa-1186	219	30	6=	6=	PROPN
ijassa-1186	219	31	j	j	PROPN
ijassa-1186	219	32	,	,	PUNCT
ijassa-1186	219	33	by	by	ADP
ijassa-1186	219	34	means	mean	NOUN
ijassa-1186	219	35	of	of	ADP
ijassa-1186	219	36	the	the	DET
ijassa-1186	219	37	directed	direct	VERB
ijassa-1186	219	38	louvain	louvain	NOUN
ijassa-1186	219	39	’s	’s	PART
ijassa-1186	219	40	algorithm	algorithm	NOUN
ijassa-1186	219	41	in	in	ADP
ijassa-1186	219	42	such	such	DET
ijassa-1186	219	43	a	a	DET
ijassa-1186	219	44	way	way	NOUN
ijassa-1186	219	45	that	that	PRON
ijassa-1186	219	46	the	the	DET
ijassa-1186	219	47	graph	graph	NOUN
ijassa-1186	219	48	modularity	modularity	NOUN
ijassa-1186	219	49	is	be	AUX
ijassa-1186	219	50	maximized	maximize	VERB
ijassa-1186	219	51	[	[	X
ijassa-1186	219	52	15	15	NUM
ijassa-1186	219	53	]	]	PUNCT
ijassa-1186	219	54	.	.	PUNCT
ijassa-1186	220	1	the	the	DET
ijassa-1186	220	2	modularity	modularity	NOUN
ijassa-1186	220	3	is	be	AUX
ijassa-1186	220	4	a	a	DET
ijassa-1186	220	5	dependence	dependence	NOUN
ijassa-1186	220	6	measure	measure	NOUN
ijassa-1186	220	7	of	of	ADP
ijassa-1186	220	8	the	the	DET
ijassa-1186	220	9	graph	graph	NOUN
ijassa-1186	220	10	that	that	PRON
ijassa-1186	220	11	is	be	AUX
ijassa-1186	220	12	determined	determine	VERB
ijassa-1186	220	13	by	by	ADP
ijassa-1186	220	14	the	the	DET
ijassa-1186	220	15	identified	identify	VERB
ijassa-1186	220	16	communities	community	NOUN
ijassa-1186	220	17	.	.	PUNCT
ijassa-1186	221	1	the	the	DET
ijassa-1186	221	2	modularity	modularity	NOUN
ijassa-1186	221	3	is	be	AUX
ijassa-1186	221	4	large	large	ADJ
ijassa-1186	221	5	when	when	SCONJ
ijassa-1186	221	6	communities	community	NOUN
ijassa-1186	221	7	are	be	AUX
ijassa-1186	221	8	made	make	VERB
ijassa-1186	221	9	of	of	ADP
ijassa-1186	221	10	highly	highly	ADV
ijassa-1186	221	11	connected	connect	VERB
ijassa-1186	221	12	nodes	node	NOUN
ijassa-1186	221	13	.	.	PUNCT
ijassa-1186	222	1	we	we	PRON
ijassa-1186	222	2	calculate	calculate	VERB
ijassa-1186	222	3	the	the	DET
ijassa-1186	222	4	pagerank	pagerank	NOUN
ijassa-1186	222	5	of	of	ADP
ijassa-1186	222	6	each	each	DET
ijassa-1186	222	7	node	node	NOUN
ijassa-1186	222	8	of	of	ADP
ijassa-1186	222	9	the	the	DET
ijassa-1186	222	10	underlying	underlie	VERB
ijassa-1186	222	11	graph	graph	NOUN
ijassa-1186	222	12	by	by	ADP
ijassa-1186	222	13	the	the	DET
ijassa-1186	222	14	iterative	iterative	NOUN
ijassa-1186	222	15	formula	formula	NOUN
ijassa-1186	222	16	(	(	PUNCT
ijassa-1186	222	17	2.4	2.4	NUM
ijassa-1186	222	18	)	)	PUNCT
ijassa-1186	222	19	.	.	PUNCT
ijassa-1186	223	1	the	the	DET
ijassa-1186	223	2	result	result	NOUN
ijassa-1186	223	3	of	of	ADP
ijassa-1186	223	4	the	the	DET
ijassa-1186	223	5	graph	graph	NOUN
ijassa-1186	223	6	partitioning	partition	VERB
ijassa-1186	223	7	into	into	ADP
ijassa-1186	223	8	communities	community	NOUN
ijassa-1186	223	9	is	be	AUX
ijassa-1186	223	10	shown	show	VERB
ijassa-1186	223	11	in	in	ADP
ijassa-1186	223	12	fig	fig	NOUN
ijassa-1186	223	13	.	.	PUNCT
ijassa-1186	224	1	4.3	4.3	NUM
ijassa-1186	224	2	.	.	PUNCT
ijassa-1186	225	1	since	since	SCONJ
ijassa-1186	225	2	some	some	DET
ijassa-1186	225	3	copyright	copyright	NOUN
ijassa-1186	225	4	©	©	ADP
ijassa-1186	225	5	2022	2022	NUM
ijassa-1186	225	6	assa	assa	NOUN
ijassa-1186	225	7	.	.	PUNCT
ijassa-1186	226	1	adv	adv	PROPN
ijassa-1186	226	2	syst	syst	PROPN
ijassa-1186	226	3	sci	sci	PROPN
ijassa-1186	226	4	appl	appl	PROPN
ijassa-1186	226	5	(	(	PUNCT
ijassa-1186	226	6	2022	2022	NUM
ijassa-1186	226	7	)	)	PUNCT
ijassa-1186	226	8	28	28	NUM
ijassa-1186	226	9	n.	n.	NOUN
ijassa-1186	226	10	m.	m.	NOUN
ijassa-1186	226	11	markovich	markovich	PROPN
ijassa-1186	226	12	,	,	PUNCT
ijassa-1186	226	13	m.	m.	PROPN
ijassa-1186	226	14	s.	s.	PROPN
ijassa-1186	226	15	ryzhov	ryzhov	PROPN
ijassa-1186	226	16	fig	fig	PROPN
ijassa-1186	226	17	.	.	PUNCT
ijassa-1186	227	1	3.2	3.2	NUM
ijassa-1186	227	2	.	.	PUNCT
ijassa-1186	228	1	the	the	DET
ijassa-1186	228	2	dependence	dependence	NOUN
ijassa-1186	228	3	of	of	ADP
ijassa-1186	228	4	log(k∗	log(k∗	PROPN
ijassa-1186	228	5	pa	pa	PROPN
ijassa-1186	228	6	/	/	PROPN
ijassa-1186	228	7	k	k	PROPN
ijassa-1186	228	8	∗	∗	NOUN
ijassa-1186	228	9	spread	spread	NOUN
ijassa-1186	228	10	)	)	PUNCT
ijassa-1186	228	11	with	with	ADP
ijassa-1186	228	12	the	the	DET
ijassa-1186	228	13	minimum	minimum	ADJ
ijassa-1186	228	14	number	number	NOUN
ijassa-1186	228	15	of	of	ADP
ijassa-1186	228	16	steps	step	NOUN
ijassa-1186	228	17	k∗	k∗	VERB
ijassa-1186	228	18	pa	pa	PROPN
ijassa-1186	228	19	and	and	CCONJ
ijassa-1186	228	20	k∗	k∗	PROPN
ijassa-1186	228	21	spread	spread	VERB
ijassa-1186	228	22	for	for	ADP
ijassa-1186	228	23	the	the	DET
ijassa-1186	228	24	pa	pa	PROPN
ijassa-1186	228	25	and	and	CCONJ
ijassa-1186	228	26	spread	spread	VERB
ijassa-1186	228	27	algorithms	algorithm	NOUN
ijassa-1186	228	28	,	,	PUNCT
ijassa-1186	228	29	respectively	respectively	ADV
ijassa-1186	228	30	,	,	PUNCT
ijassa-1186	228	31	required	require	VERB
ijassa-1186	228	32	to	to	PART
ijassa-1186	228	33	propagate	propagate	VERB
ijassa-1186	228	34	a	a	DET
ijassa-1186	228	35	single	single	ADJ
ijassa-1186	228	36	message	message	NOUN
ijassa-1186	228	37	to	to	ADP
ijassa-1186	228	38	n	n	NOUN
ijassa-1186	228	39	=	=	SYM
ijassa-1186	228	40	100	100	NUM
ijassa-1186	228	41	new	new	ADJ
ijassa-1186	228	42	nodes	node	NOUN
ijassa-1186	228	43	regarding	regard	VERB
ijassa-1186	228	44	the	the	DET
ijassa-1186	228	45	pa	pa	PROPN
ijassa-1186	228	46	-	-	PUNCT
ijassa-1186	228	47	parameters	parameter	NOUN
ijassa-1186	228	48	of	of	ADP
ijassa-1186	228	49	the	the	DET
ijassa-1186	228	50	graph	graph	NOUN
ijassa-1186	228	51	evolution	evolution	NOUN
ijassa-1186	228	52	.	.	PUNCT
ijassa-1186	229	1	the	the	DET
ijassa-1186	229	2	red	red	ADJ
ijassa-1186	229	3	line	line	NOUN
ijassa-1186	229	4	indicates	indicate	VERB
ijassa-1186	229	5	the	the	DET
ijassa-1186	229	6	case	case	NOUN
ijassa-1186	229	7	k∗	k∗	NOUN
ijassa-1186	229	8	pa	pa	PROPN
ijassa-1186	229	9	=	=	PROPN
ijassa-1186	229	10	k∗	k∗	PROPN
ijassa-1186	229	11	spread	spread	VERB
ijassa-1186	229	12	,	,	PUNCT
ijassa-1186	229	13	to	to	ADP
ijassa-1186	229	14	the	the	DET
ijassa-1186	229	15	left	left	NOUN
ijassa-1186	229	16	of	of	ADP
ijassa-1186	229	17	the	the	DET
ijassa-1186	229	18	line	line	NOUN
ijassa-1186	229	19	is	be	AUX
ijassa-1186	229	20	k∗	k∗	PROPN
ijassa-1186	229	21	pa	pa	PROPN
ijassa-1186	229	22	>	>	X
ijassa-1186	229	23	k∗	k∗	PROPN
ijassa-1186	229	24	spread	spread	NOUN
ijassa-1186	229	25	,	,	PUNCT
ijassa-1186	229	26	to	to	ADP
ijassa-1186	229	27	the	the	DET
ijassa-1186	229	28	right	right	NOUN
ijassa-1186	229	29	of	of	ADP
ijassa-1186	229	30	the	the	DET
ijassa-1186	229	31	line	line	NOUN
ijassa-1186	229	32	is	be	AUX
ijassa-1186	229	33	k∗	k∗	PROPN
ijassa-1186	229	34	pa	pa	PROPN
ijassa-1186	229	35	<	<	X
ijassa-1186	229	36	k∗	k∗	PROPN
ijassa-1186	229	37	spread	spread	NOUN
ijassa-1186	229	38	.	.	PUNCT
ijassa-1186	230	1	communities	community	NOUN
ijassa-1186	230	2	are	be	AUX
ijassa-1186	230	3	highly	highly	ADV
ijassa-1186	230	4	connected	connect	VERB
ijassa-1186	230	5	,	,	PUNCT
ijassa-1186	230	6	we	we	PRON
ijassa-1186	230	7	may	may	AUX
ijassa-1186	230	8	combine	combine	VERB
ijassa-1186	230	9	such	such	ADJ
ijassa-1186	230	10	communities	community	NOUN
ijassa-1186	230	11	together	together	ADV
ijassa-1186	230	12	and	and	CCONJ
ijassa-1186	230	13	consider	consider	VERB
ijassa-1186	230	14	c1	c1	PROPN
ijassa-1186	230	15	∪	∪	ADP
ijassa-1186	230	16	c3	c3	PROPN
ijassa-1186	230	17	∪	∪	X
ijassa-1186	230	18	c5	c5	PROPN
ijassa-1186	230	19	and	and	CCONJ
ijassa-1186	230	20	c2	c2	PROPN
ijassa-1186	230	21	∪	∪	PROPN
ijassa-1186	230	22	c4	c4	PROPN
ijassa-1186	230	23	.	.	PUNCT
ijassa-1186	231	1	however	however	ADV
ijassa-1186	231	2	,	,	PUNCT
ijassa-1186	231	3	the	the	DET
ijassa-1186	231	4	pageranks	pagerank	NOUN
ijassa-1186	231	5	of	of	ADP
ijassa-1186	231	6	the	the	DET
ijassa-1186	231	7	latter	latter	ADJ
ijassa-1186	231	8	combined	combine	VERB
ijassa-1186	231	9	communities	community	NOUN
ijassa-1186	231	10	may	may	AUX
ijassa-1186	231	11	be	be	AUX
ijassa-1186	231	12	non	non	ADJ
ijassa-1186	231	13	-	-	ADJ
ijassa-1186	231	14	stationary	stationary	ADJ
ijassa-1186	231	15	distributed	distribute	VERB
ijassa-1186	231	16	.	.	PUNCT
ijassa-1186	232	1	fig	fig	NOUN
ijassa-1186	232	2	.	.	PUNCT
ijassa-1186	233	1	4.3	4.3	NUM
ijassa-1186	233	2	.	.	PUNCT
ijassa-1186	234	1	communities	community	NOUN
ijassa-1186	234	2	{	{	PUNCT
ijassa-1186	234	3	ci}5i=1	ci}5i=1	PROPN
ijassa-1186	234	4	built	build	VERB
ijassa-1186	234	5	by	by	ADP
ijassa-1186	234	6	the	the	DET
ijassa-1186	234	7	berkeley	berkeley	PROPN
ijassa-1186	234	8	-	-	PUNCT
ijassa-1186	234	9	stanford	stanford	PROPN
ijassa-1186	234	10	data	data	PROPN
ijassa-1186	234	11	,	,	PUNCT
ijassa-1186	234	12	where	where	SCONJ
ijassa-1186	234	13	the	the	DET
ijassa-1186	234	14	point	point	NOUN
ijassa-1186	234	15	sizes	size	NOUN
ijassa-1186	234	16	are	be	AUX
ijassa-1186	234	17	proportional	proportional	ADJ
ijassa-1186	234	18	to	to	ADP
ijassa-1186	234	19	the	the	DET
ijassa-1186	234	20	node	node	ADJ
ijassa-1186	234	21	pageranks	pagerank	NOUN
ijassa-1186	234	22	.	.	PUNCT
ijassa-1186	235	1	we	we	PRON
ijassa-1186	235	2	aim	aim	VERB
ijassa-1186	235	3	to	to	PART
ijassa-1186	235	4	study	study	VERB
ijassa-1186	235	5	the	the	DET
ijassa-1186	235	6	impact	impact	NOUN
ijassa-1186	235	7	of	of	ADP
ijassa-1186	235	8	the	the	DET
ijassa-1186	235	9	heaviness	heaviness	NOUN
ijassa-1186	235	10	of	of	ADP
ijassa-1186	235	11	tails	tail	NOUN
ijassa-1186	235	12	of	of	ADP
ijassa-1186	235	13	the	the	DET
ijassa-1186	235	14	node	node	ADJ
ijassa-1186	235	15	characteristics	characteristic	NOUN
ijassa-1186	235	16	,	,	PUNCT
ijassa-1186	235	17	namely	namely	ADV
ijassa-1186	235	18	,	,	PUNCT
ijassa-1186	235	19	the	the	DET
ijassa-1186	235	20	inand	inand	ADJ
ijassa-1186	235	21	out	out	ADJ
ijassa-1186	235	22	-	-	PUNCT
ijassa-1186	235	23	degrees	degree	NOUN
ijassa-1186	235	24	and	and	CCONJ
ijassa-1186	235	25	pageranks	pagerank	NOUN
ijassa-1186	235	26	on	on	ADP
ijassa-1186	235	27	the	the	DET
ijassa-1186	235	28	spreading	spread	VERB
ijassa-1186	235	29	rate	rate	NOUN
ijassa-1186	235	30	.	.	PUNCT
ijassa-1186	236	1	the	the	DET
ijassa-1186	236	2	inand	inand	ADJ
ijassa-1186	236	3	out	out	ADJ
ijassa-1186	236	4	-	-	PUNCT
ijassa-1186	236	5	degrees	degree	NOUN
ijassa-1186	236	6	are	be	AUX
ijassa-1186	236	7	known	know	VERB
ijassa-1186	236	8	to	to	PART
ijassa-1186	236	9	be	be	AUX
ijassa-1186	236	10	power	power	NOUN
ijassa-1186	236	11	law	law	NOUN
ijassa-1186	236	12	distributed	distribute	VERB
ijassa-1186	236	13	[	[	X
ijassa-1186	236	14	1	1	NUM
ijassa-1186	236	15	]	]	PUNCT
ijassa-1186	236	16	.	.	PUNCT
ijassa-1186	237	1	the	the	DET
ijassa-1186	237	2	pageranks	pagerank	NOUN
ijassa-1186	237	3	are	be	AUX
ijassa-1186	237	4	proved	prove	VERB
ijassa-1186	237	5	to	to	PART
ijassa-1186	237	6	be	be	AUX
ijassa-1186	237	7	regularly	regularly	ADV
ijassa-1186	237	8	varying	vary	VERB
ijassa-1186	237	9	distributed	distribute	VERB
ijassa-1186	238	1	[	[	X
ijassa-1186	238	2	16	16	NUM
ijassa-1186	238	3	]	]	PUNCT
ijassa-1186	238	4	.	.	PUNCT
ijassa-1186	239	1	hence	hence	ADV
ijassa-1186	239	2	,	,	PUNCT
ijassa-1186	239	3	the	the	DET
ijassa-1186	239	4	tis	tis	PROPN
ijassa-1186	239	5	of	of	ADP
ijassa-1186	239	6	node	node	ADJ
ijassa-1186	239	7	characteristics	characteristic	NOUN
ijassa-1186	239	8	of	of	ADP
ijassa-1186	239	9	each	each	DET
ijassa-1186	239	10	community	community	NOUN
ijassa-1186	239	11	and	and	CCONJ
ijassa-1186	239	12	their	their	PRON
ijassa-1186	239	13	mergers	merger	NOUN
ijassa-1186	239	14	may	may	AUX
ijassa-1186	239	15	be	be	AUX
ijassa-1186	239	16	estimated	estimate	VERB
ijassa-1186	239	17	by	by	ADP
ijassa-1186	239	18	the	the	DET
ijassa-1186	239	19	hill	hill	PROPN
ijassa-1186	239	20	’s	’s	PART
ijassa-1186	239	21	estimator	estimator	NOUN
ijassa-1186	239	22	(	(	PUNCT
ijassa-1186	239	23	2.1	2.1	NUM
ijassa-1186	239	24	)	)	PUNCT
ijassa-1186	239	25	.	.	PUNCT
ijassa-1186	240	1	indeed	indeed	ADV
ijassa-1186	240	2	,	,	PUNCT
ijassa-1186	240	3	this	this	PRON
ijassa-1186	240	4	requires	require	VERB
ijassa-1186	240	5	their	their	PRON
ijassa-1186	240	6	stationarity	stationarity	NOUN
ijassa-1186	240	7	that	that	SCONJ
ijassa-1186	240	8	,	,	PUNCT
ijassa-1186	240	9	copyright	copyright	NOUN
ijassa-1186	240	10	©	©	PROPN
ijassa-1186	240	11	2022	2022	NUM
ijassa-1186	240	12	assa	assa	NOUN
ijassa-1186	240	13	.	.	PUNCT
ijassa-1186	241	1	adv	adv	PROPN
ijassa-1186	241	2	syst	syst	PROPN
ijassa-1186	241	3	sci	sci	PROPN
ijassa-1186	241	4	appl	appl	PROPN
ijassa-1186	241	5	(	(	PUNCT
ijassa-1186	241	6	2022	2022	NUM
ijassa-1186	241	7	)	)	PUNCT
ijassa-1186	241	8	information	information	NOUN
ijassa-1186	241	9	spreading	spread	VERB
ijassa-1186	241	10	and	and	CCONJ
ijassa-1186	241	11	evolution	evolution	NOUN
ijassa-1186	241	12	of	of	ADP
ijassa-1186	241	13	non	non	ADJ
ijassa-1186	241	14	-	-	ADJ
ijassa-1186	241	15	homogeneous	homogeneous	ADJ
ijassa-1186	241	16	networks	network	NOUN
ijassa-1186	241	17	29	29	NUM
ijassa-1186	241	18	|c|	|c|	PROPN
ijassa-1186	241	19	v	v	NOUN
ijassa-1186	241	20	/	/	SYM
ijassa-1186	241	21	sin	sin	NOUN
ijassa-1186	241	22	v	v	NOUN
ijassa-1186	241	23	/	/	SYM
ijassa-1186	241	24	sout	sout	NOUN
ijassa-1186	241	25	v	v	NOUN
ijassa-1186	241	26	/	/	SYM
ijassa-1186	241	27	spr	spr	PROPN
ijassa-1186	241	28	c1	c1	PROPN
ijassa-1186	241	29	266	266	NUM
ijassa-1186	241	30	0.0579	0.0579	NUM
ijassa-1186	241	31	0.1040	0.1040	NUM
ijassa-1186	241	32	0.0764	0.0764	NUM
ijassa-1186	241	33	c2	c2	PROPN
ijassa-1186	241	34	266	266	NUM
ijassa-1186	241	35	0.0580	0.0580	NUM
ijassa-1186	241	36	0.1058	0.1058	NUM
ijassa-1186	241	37	0.0828	0.0828	NUM
ijassa-1186	241	38	c3	c3	NOUN
ijassa-1186	241	39	135	135	NUM
ijassa-1186	241	40	0.0773	0.0773	NUM
ijassa-1186	241	41	0.0827	0.0827	NUM
ijassa-1186	241	42	0.0774	0.0774	NUM
ijassa-1186	241	43	c4	c4	NOUN
ijassa-1186	241	44	86	86	NUM
ijassa-1186	241	45	0.0605	0.0605	NUM
ijassa-1186	241	46	0.0632	0.0632	NUM
ijassa-1186	241	47	0.0652	0.0652	NUM
ijassa-1186	241	48	c5	c5	PROPN
ijassa-1186	241	49	85	85	NUM
ijassa-1186	241	50	0.0439	0.0439	NUM
ijassa-1186	241	51	0.0757	0.0757	NUM
ijassa-1186	241	52	0.0457	0.0457	NUM
ijassa-1186	241	53	table	table	NOUN
ijassa-1186	241	54	4.1	4.1	NUM
ijassa-1186	241	55	.	.	PUNCT
ijassa-1186	242	1	the	the	DET
ijassa-1186	242	2	v	v	NOUN
ijassa-1186	242	3	/	/	SYM
ijassa-1186	242	4	s	s	NOUN
ijassa-1186	242	5	statistics	statistic	NOUN
ijassa-1186	242	6	(	(	PUNCT
ijassa-1186	242	7	2.2	2.2	NUM
ijassa-1186	242	8	)	)	PUNCT
ijassa-1186	242	9	averaged	average	VERB
ijassa-1186	242	10	over	over	ADP
ijassa-1186	242	11	100	100	NUM
ijassa-1186	242	12	random	random	ADJ
ijassa-1186	242	13	sequences	sequence	NOUN
ijassa-1186	242	14	and	and	CCONJ
ijassa-1186	242	15	calculated	calculate	VERB
ijassa-1186	242	16	by	by	ADP
ijassa-1186	242	17	the	the	DET
ijassa-1186	242	18	inand	inand	PROPN
ijassa-1186	242	19	outdegrees	outdegree	NOUN
ijassa-1186	242	20	and	and	CCONJ
ijassa-1186	242	21	pageranks	pagerank	NOUN
ijassa-1186	242	22	of	of	ADP
ijassa-1186	242	23	the	the	DET
ijassa-1186	242	24	communities	community	NOUN
ijassa-1186	242	25	{	{	PUNCT
ijassa-1186	242	26	ci}5i=1	ci}5i=1	ADV
ijassa-1186	242	27	and	and	CCONJ
ijassa-1186	242	28	denoted	denote	VERB
ijassa-1186	242	29	by	by	ADP
ijassa-1186	242	30	v	v	NOUN
ijassa-1186	242	31	/	/	SYM
ijassa-1186	242	32	sin	sin	NOUN
ijassa-1186	242	33	,	,	PUNCT
ijassa-1186	242	34	v	v	NOUN
ijassa-1186	242	35	/	/	SYM
ijassa-1186	242	36	sout	sout	NOUN
ijassa-1186	242	37	and	and	CCONJ
ijassa-1186	242	38	v	v	NOUN
ijassa-1186	242	39	/	/	SYM
ijassa-1186	242	40	spr	spr	ADJ
ijassa-1186	242	41	,	,	PUNCT
ijassa-1186	242	42	respectively	respectively	ADV
ijassa-1186	242	43	.	.	PUNCT
ijassa-1186	243	1	fig	fig	NOUN
ijassa-1186	243	2	.	.	PUNCT
ijassa-1186	244	1	4.4	4.4	NUM
ijassa-1186	244	2	.	.	PUNCT
ijassa-1186	245	1	empirical	empirical	ADJ
ijassa-1186	245	2	distribution	distribution	NOUN
ijassa-1186	245	3	functions	function	NOUN
ijassa-1186	245	4	fn(x	fn(x	NOUN
ijassa-1186	245	5	)	)	PUNCT
ijassa-1186	245	6	of	of	ADP
ijassa-1186	245	7	pageranks	pagerank	NOUN
ijassa-1186	245	8	of	of	ADP
ijassa-1186	245	9	communities	community	NOUN
ijassa-1186	245	10	{	{	PUNCT
ijassa-1186	245	11	ci}5i=1	ci}5i=1	PROPN
ijassa-1186	245	12	and	and	CCONJ
ijassa-1186	245	13	their	their	PRON
ijassa-1186	245	14	mergers	merger	NOUN
ijassa-1186	245	15	c2	c2	PROPN
ijassa-1186	245	16	∪	∪	PROPN
ijassa-1186	245	17	c4	c4	PROPN
ijassa-1186	245	18	and	and	CCONJ
ijassa-1186	245	19	c1	c1	PROPN
ijassa-1186	245	20	∪	∪	PROPN
ijassa-1186	245	21	c3	c3	PROPN
ijassa-1186	245	22	∪	∪	PROPN
ijassa-1186	245	23	c5	c5	PROPN
ijassa-1186	245	24	.	.	PUNCT
ijassa-1186	246	1	in	in	ADP
ijassa-1186	246	2	practice	practice	NOUN
ijassa-1186	246	3	,	,	PUNCT
ijassa-1186	246	4	can	can	AUX
ijassa-1186	246	5	not	not	PART
ijassa-1186	246	6	be	be	AUX
ijassa-1186	246	7	precisely	precisely	ADV
ijassa-1186	246	8	fulfilled	fulfil	VERB
ijassa-1186	246	9	due	due	ADP
ijassa-1186	246	10	to	to	ADP
ijassa-1186	246	11	the	the	DET
ijassa-1186	246	12	inhomogeneous	inhomogeneous	ADJ
ijassa-1186	246	13	data	datum	NOUN
ijassa-1186	246	14	.	.	PUNCT
ijassa-1186	247	1	the	the	DET
ijassa-1186	247	2	finding	finding	NOUN
ijassa-1186	247	3	of	of	ADP
ijassa-1186	247	4	homogeneous	homogeneous	ADJ
ijassa-1186	247	5	communities	community	NOUN
ijassa-1186	247	6	is	be	AUX
ijassa-1186	247	7	an	an	DET
ijassa-1186	247	8	unsolved	unsolved	ADJ
ijassa-1186	247	9	problem	problem	NOUN
ijassa-1186	247	10	that	that	PRON
ijassa-1186	247	11	is	be	AUX
ijassa-1186	247	12	out	out	ADP
ijassa-1186	247	13	of	of	ADP
ijassa-1186	247	14	scope	scope	NOUN
ijassa-1186	247	15	of	of	ADP
ijassa-1186	247	16	this	this	DET
ijassa-1186	247	17	paper	paper	NOUN
ijassa-1186	247	18	.	.	PUNCT
ijassa-1186	248	1	in	in	ADP
ijassa-1186	248	2	table	table	NOUN
ijassa-1186	248	3	4.1	4.1	NUM
ijassa-1186	248	4	,	,	PUNCT
ijassa-1186	248	5	the	the	DET
ijassa-1186	248	6	v	v	NOUN
ijassa-1186	248	7	/	/	SYM
ijassa-1186	248	8	s	s	NOUN
ijassa-1186	248	9	statistics	statistic	NOUN
ijassa-1186	248	10	(	(	PUNCT
ijassa-1186	248	11	2.2	2.2	NUM
ijassa-1186	248	12	)	)	PUNCT
ijassa-1186	248	13	and	and	CCONJ
ijassa-1186	248	14	the	the	DET
ijassa-1186	248	15	sample	sample	NOUN
ijassa-1186	248	16	sizes	size	NOUN
ijassa-1186	248	17	of	of	ADP
ijassa-1186	248	18	the	the	DET
ijassa-1186	248	19	communities	community	NOUN
ijassa-1186	248	20	denoted	denote	VERB
ijassa-1186	248	21	as	as	ADP
ijassa-1186	248	22	|c|	|c|	PROPN
ijassa-1186	248	23	are	be	AUX
ijassa-1186	248	24	shown	show	VERB
ijassa-1186	248	25	.	.	PUNCT
ijassa-1186	249	1	we	we	PRON
ijassa-1186	249	2	use	use	VERB
ijassa-1186	249	3	100	100	NUM
ijassa-1186	249	4	sequences	sequence	NOUN
ijassa-1186	249	5	of	of	ADP
ijassa-1186	249	6	pageranks	pagerank	NOUN
ijassa-1186	249	7	which	which	PRON
ijassa-1186	249	8	correspond	correspond	VERB
ijassa-1186	249	9	to	to	ADP
ijassa-1186	249	10	possible	possible	ADJ
ijassa-1186	249	11	numerations	numeration	NOUN
ijassa-1186	249	12	of	of	ADP
ijassa-1186	249	13	nodes	node	NOUN
ijassa-1186	249	14	in	in	ADP
ijassa-1186	249	15	the	the	DET
ijassa-1186	249	16	graph	graph	NOUN
ijassa-1186	249	17	built	build	VERB
ijassa-1186	249	18	by	by	ADP
ijassa-1186	249	19	random	random	ADJ
ijassa-1186	249	20	walks	walk	NOUN
ijassa-1186	249	21	.	.	PUNCT
ijassa-1186	250	1	the	the	DET
ijassa-1186	250	2	latter	latter	ADJ
ijassa-1186	250	3	are	be	AUX
ijassa-1186	250	4	formed	form	VERB
ijassa-1186	250	5	by	by	ADP
ijassa-1186	250	6	uniform	uniform	ADJ
ijassa-1186	250	7	selection	selection	NOUN
ijassa-1186	250	8	of	of	ADP
ijassa-1186	250	9	each	each	DET
ijassa-1186	250	10	next	next	ADJ
ijassa-1186	250	11	node	node	NOUN
ijassa-1186	250	12	among	among	ADP
ijassa-1186	250	13	nearest	near	ADJ
ijassa-1186	250	14	neighbors	neighbor	NOUN
ijassa-1186	250	15	of	of	ADP
ijassa-1186	250	16	a	a	DET
ijassa-1186	250	17	node	node	NOUN
ijassa-1186	250	18	.	.	PUNCT
ijassa-1186	251	1	random	random	ADJ
ijassa-1186	251	2	walks	walk	NOUN
ijassa-1186	251	3	cover	cover	VERB
ijassa-1186	251	4	all	all	DET
ijassa-1186	251	5	nodes	node	NOUN
ijassa-1186	251	6	in	in	ADP
ijassa-1186	251	7	the	the	DET
ijassa-1186	251	8	communites	communite	NOUN
ijassa-1186	251	9	.	.	PUNCT
ijassa-1186	252	1	the	the	DET
ijassa-1186	252	2	values	value	NOUN
ijassa-1186	252	3	in	in	ADP
ijassa-1186	252	4	table	table	NOUN
ijassa-1186	252	5	4.1	4.1	NUM
ijassa-1186	252	6	do	do	AUX
ijassa-1186	252	7	not	not	PART
ijassa-1186	252	8	contradict	contradict	VERB
ijassa-1186	252	9	the	the	DET
ijassa-1186	252	10	null	null	ADJ
ijassa-1186	252	11	hypothesis	hypothesis	NOUN
ijassa-1186	252	12	of	of	ADP
ijassa-1186	252	13	stationarity	stationarity	NOUN
ijassa-1186	252	14	,	,	PUNCT
ijassa-1186	252	15	but	but	CCONJ
ijassa-1186	252	16	one	one	NOUN
ijassa-1186	252	17	can	can	AUX
ijassa-1186	252	18	not	not	PART
ijassa-1186	252	19	insist	insist	VERB
ijassa-1186	252	20	on	on	ADP
ijassa-1186	252	21	the	the	DET
ijassa-1186	252	22	stationarity	stationarity	NOUN
ijassa-1186	252	23	.	.	PUNCT
ijassa-1186	253	1	|c|	|c|	PROPN
ijassa-1186	253	2	α̂in	α̂in	AUX
ijassa-1186	253	3	α̂out	α̂out	PROPN
ijassa-1186	253	4	α̂pr	α̂pr	PROPN
ijassa-1186	253	5	c1	c1	PROPN
ijassa-1186	253	6	266	266	NUM
ijassa-1186	253	7	0.895	0.895	NUM
ijassa-1186	253	8	(	(	PUNCT
ijassa-1186	253	9	0.616	0.616	NUM
ijassa-1186	253	10	,	,	PUNCT
ijassa-1186	253	11	1.175	1.175	NUM
ijassa-1186	253	12	)	)	PUNCT
ijassa-1186	253	13	1.141	1.141	NUM
ijassa-1186	253	14	(	(	PUNCT
ijassa-1186	253	15	1.035	1.035	NUM
ijassa-1186	253	16	,	,	PUNCT
ijassa-1186	253	17	1.247	1.247	NUM
ijassa-1186	253	18	)	)	PUNCT
ijassa-1186	253	19	0.474	0.474	NUM
ijassa-1186	253	20	(	(	PUNCT
ijassa-1186	253	21	0.403	0.403	NUM
ijassa-1186	253	22	,	,	PUNCT
ijassa-1186	253	23	0.544	0.544	NUM
ijassa-1186	253	24	)	)	PUNCT
ijassa-1186	253	25	c2	c2	PROPN
ijassa-1186	253	26	266	266	NUM
ijassa-1186	253	27	0.899	0.899	NUM
ijassa-1186	253	28	(	(	PUNCT
ijassa-1186	253	29	0.629	0.629	NUM
ijassa-1186	253	30	,	,	PUNCT
ijassa-1186	253	31	1.169	1.169	NUM
ijassa-1186	253	32	)	)	PUNCT
ijassa-1186	253	33	1.141	1.141	NUM
ijassa-1186	253	34	(	(	PUNCT
ijassa-1186	253	35	1.035	1.035	NUM
ijassa-1186	253	36	,	,	PUNCT
ijassa-1186	253	37	1.247	1.247	NUM
ijassa-1186	253	38	)	)	PUNCT
ijassa-1186	253	39	0.485	0.485	NUM
ijassa-1186	253	40	(	(	PUNCT
ijassa-1186	253	41	0.444	0.444	NUM
ijassa-1186	253	42	,	,	PUNCT
ijassa-1186	253	43	0.526	0.526	NUM
ijassa-1186	253	44	)	)	PUNCT
ijassa-1186	253	45	c3	c3	PROPN
ijassa-1186	253	46	135	135	NUM
ijassa-1186	253	47	1.117	1.117	NUM
ijassa-1186	253	48	(	(	PUNCT
ijassa-1186	253	49	1.039	1.039	NUM
ijassa-1186	253	50	,	,	PUNCT
ijassa-1186	253	51	1.195	1.195	NUM
ijassa-1186	253	52	)	)	PUNCT
ijassa-1186	253	53	5.434	5.434	NUM
ijassa-1186	253	54	(	(	PUNCT
ijassa-1186	253	55	5.351	5.351	NUM
ijassa-1186	253	56	,	,	PUNCT
ijassa-1186	253	57	5.518	5.518	NUM
ijassa-1186	253	58	)	)	PUNCT
ijassa-1186	253	59	0.667	0.667	NUM
ijassa-1186	253	60	(	(	PUNCT
ijassa-1186	253	61	0.549	0.549	NUM
ijassa-1186	253	62	,	,	PUNCT
ijassa-1186	253	63	0.786	0.786	NUM
ijassa-1186	253	64	)	)	PUNCT
ijassa-1186	253	65	c4	c4	NOUN
ijassa-1186	253	66	86	86	NUM
ijassa-1186	253	67	0.387	0.387	NUM
ijassa-1186	253	68	(	(	PUNCT
ijassa-1186	253	69	0.2	0.2	NUM
ijassa-1186	253	70	,	,	PUNCT
ijassa-1186	253	71	0.576	0.576	NUM
ijassa-1186	253	72	)	)	PUNCT
ijassa-1186	253	73	3.712	3.712	NUM
ijassa-1186	253	74	(	(	PUNCT
ijassa-1186	253	75	3.43	3.43	NUM
ijassa-1186	253	76	,	,	PUNCT
ijassa-1186	253	77	4.009	4.009	NUM
ijassa-1186	253	78	)	)	PUNCT
ijassa-1186	253	79	0.706	0.706	NUM
ijassa-1186	253	80	(	(	PUNCT
ijassa-1186	253	81	0.3	0.3	NUM
ijassa-1186	253	82	,	,	PUNCT
ijassa-1186	253	83	1.112	1.112	NUM
ijassa-1186	253	84	)	)	PUNCT
ijassa-1186	253	85	c5	c5	PROPN
ijassa-1186	253	86	85	85	NUM
ijassa-1186	253	87	0.425	0.425	NUM
ijassa-1186	253	88	(	(	PUNCT
ijassa-1186	253	89	0.27	0.27	NUM
ijassa-1186	253	90	,	,	PUNCT
ijassa-1186	253	91	0.58	0.58	NUM
ijassa-1186	253	92	)	)	PUNCT
ijassa-1186	253	93	3.719	3.719	NUM
ijassa-1186	253	94	(	(	PUNCT
ijassa-1186	253	95	3.427	3.427	NUM
ijassa-1186	253	96	,	,	PUNCT
ijassa-1186	253	97	4.011	4.011	NUM
ijassa-1186	253	98	)	)	PUNCT
ijassa-1186	253	99	1.798	1.798	NUM
ijassa-1186	253	100	(	(	PUNCT
ijassa-1186	253	101	1.497	1.497	NUM
ijassa-1186	253	102	,	,	PUNCT
ijassa-1186	253	103	2.099	2.099	NUM
ijassa-1186	253	104	)	)	PUNCT
ijassa-1186	253	105	c1	c1	NOUN
ijassa-1186	253	106	∪	∪	ADP
ijassa-1186	253	107	c3	c3	PROPN
ijassa-1186	253	108	∪	∪	X
ijassa-1186	253	109	c5	c5	PROPN
ijassa-1186	253	110	486	486	NUM
ijassa-1186	253	111	0.885	0.885	NUM
ijassa-1186	253	112	(	(	PUNCT
ijassa-1186	253	113	0.669	0.669	NUM
ijassa-1186	253	114	,	,	PUNCT
ijassa-1186	253	115	1.101	1.101	NUM
ijassa-1186	253	116	)	)	PUNCT
ijassa-1186	253	117	3.236	3.236	NUM
ijassa-1186	253	118	(	(	PUNCT
ijassa-1186	253	119	3.16	3.16	NUM
ijassa-1186	253	120	,	,	PUNCT
ijassa-1186	253	121	3.312	3.312	NUM
ijassa-1186	253	122	)	)	PUNCT
ijassa-1186	253	123	0.592	0.592	NUM
ijassa-1186	253	124	(	(	PUNCT
ijassa-1186	253	125	0.523	0.523	NUM
ijassa-1186	253	126	,	,	PUNCT
ijassa-1186	253	127	0.661	0.661	NUM
ijassa-1186	253	128	)	)	PUNCT
ijassa-1186	253	129	c2	c2	PROPN
ijassa-1186	253	130	∪	∪	PROPN
ijassa-1186	253	131	c4	c4	PROPN
ijassa-1186	253	132	352	352	NUM
ijassa-1186	253	133	0.76	0.76	NUM
ijassa-1186	253	134	(	(	PUNCT
ijassa-1186	253	135	0.474	0.474	NUM
ijassa-1186	253	136	,	,	PUNCT
ijassa-1186	253	137	1.045	1.045	NUM
ijassa-1186	253	138	)	)	PUNCT
ijassa-1186	253	139	1.48	1.48	NUM
ijassa-1186	253	140	(	(	PUNCT
ijassa-1186	253	141	1.445	1.445	NUM
ijassa-1186	253	142	,	,	PUNCT
ijassa-1186	253	143	1.515	1.515	NUM
ijassa-1186	253	144	)	)	PUNCT
ijassa-1186	253	145	0.54	0.54	NUM
ijassa-1186	253	146	(	(	PUNCT
ijassa-1186	253	147	0.478	0.478	NUM
ijassa-1186	253	148	,	,	PUNCT
ijassa-1186	253	149	0.602	0.602	NUM
ijassa-1186	253	150	)	)	PUNCT
ijassa-1186	253	151	table	table	NOUN
ijassa-1186	253	152	4.2	4.2	NUM
ijassa-1186	253	153	.	.	PUNCT
ijassa-1186	254	1	the	the	DET
ijassa-1186	254	2	ti	ti	PROPN
ijassa-1186	254	3	estimates	estimate	NOUN
ijassa-1186	254	4	of	of	ADP
ijassa-1186	254	5	the	the	DET
ijassa-1186	254	6	node	node	NOUN
ijassa-1186	254	7	inand	inand	ADJ
ijassa-1186	254	8	out	out	ADP
ijassa-1186	254	9	-	-	PUNCT
ijassa-1186	254	10	degrees	degree	NOUN
ijassa-1186	254	11	and	and	CCONJ
ijassa-1186	254	12	pageranks	pagerank	NOUN
ijassa-1186	254	13	of	of	ADP
ijassa-1186	254	14	the	the	DET
ijassa-1186	254	15	communities	community	NOUN
ijassa-1186	254	16	{	{	PUNCT
ijassa-1186	254	17	ci}5i=1	ci}5i=1	PROPN
ijassa-1186	254	18	,	,	PUNCT
ijassa-1186	254	19	c1	c1	PROPN
ijassa-1186	254	20	∪	∪	PROPN
ijassa-1186	254	21	c3	c3	PROPN
ijassa-1186	254	22	∪	∪	X
ijassa-1186	254	23	c5	c5	PROPN
ijassa-1186	254	24	and	and	CCONJ
ijassa-1186	254	25	c2	c2	PROPN
ijassa-1186	254	26	∪	∪	PROPN
ijassa-1186	254	27	c4	c4	PROPN
ijassa-1186	254	28	denoted	denote	VERB
ijassa-1186	254	29	as	as	ADP
ijassa-1186	254	30	α̂in	α̂in	VERB
ijassa-1186	254	31	,	,	PUNCT
ijassa-1186	254	32	α̂out	α̂out	ADJ
ijassa-1186	254	33	and	and	CCONJ
ijassa-1186	254	34	α̂pr	α̂pr	PROPN
ijassa-1186	254	35	,	,	PUNCT
ijassa-1186	254	36	respectively	respectively	ADV
ijassa-1186	254	37	,	,	PUNCT
ijassa-1186	254	38	with	with	ADP
ijassa-1186	254	39	their	their	PRON
ijassa-1186	254	40	bootstrap	bootstrap	NOUN
ijassa-1186	254	41	confidence	confidence	NOUN
ijassa-1186	254	42	intervals	interval	NOUN
ijassa-1186	254	43	in	in	ADP
ijassa-1186	254	44	brackets	bracket	NOUN
ijassa-1186	254	45	.	.	PUNCT
ijassa-1186	255	1	in	in	ADP
ijassa-1186	255	2	table	table	NOUN
ijassa-1186	255	3	4.2	4.2	NUM
ijassa-1186	255	4	,	,	PUNCT
ijassa-1186	255	5	the	the	DET
ijassa-1186	255	6	tis	tis	PROPN
ijassa-1186	255	7	with	with	ADP
ijassa-1186	255	8	their	their	PRON
ijassa-1186	255	9	bootstrap	bootstrap	NOUN
ijassa-1186	255	10	confidence	confidence	NOUN
ijassa-1186	255	11	intervals	interval	NOUN
ijassa-1186	255	12	are	be	AUX
ijassa-1186	255	13	shown	show	VERB
ijassa-1186	255	14	.	.	PUNCT
ijassa-1186	256	1	the	the	DET
ijassa-1186	256	2	tis	tis	PROPN
ijassa-1186	256	3	are	be	AUX
ijassa-1186	256	4	estimated	estimate	VERB
ijassa-1186	256	5	by	by	ADP
ijassa-1186	256	6	the	the	DET
ijassa-1186	256	7	hill	hill	PROPN
ijassa-1186	256	8	’s	’s	PART
ijassa-1186	256	9	estimator	estimator	NOUN
ijassa-1186	256	10	(	(	PUNCT
ijassa-1186	256	11	2.1	2.1	NUM
ijassa-1186	256	12	)	)	PUNCT
ijassa-1186	256	13	where	where	SCONJ
ijassa-1186	256	14	the	the	DET
ijassa-1186	256	15	number	number	NOUN
ijassa-1186	256	16	of	of	ADP
ijassa-1186	256	17	the	the	DET
ijassa-1186	256	18	largest	large	ADJ
ijassa-1186	256	19	order	order	NOUN
ijassa-1186	256	20	statistics	statistic	NOUN
ijassa-1186	256	21	k	k	PROPN
ijassa-1186	256	22	is	be	AUX
ijassa-1186	256	23	calculated	calculate	VERB
ijassa-1186	256	24	by	by	ADP
ijassa-1186	256	25	the	the	DET
ijassa-1186	256	26	samsee	samsee	NOUN
ijassa-1186	256	27	method	method	NOUN
ijassa-1186	257	1	[	[	X
ijassa-1186	257	2	9	9	NUM
ijassa-1186	257	3	]	]	PUNCT
ijassa-1186	257	4	.	.	PUNCT
ijassa-1186	258	1	empirical	empirical	ADJ
ijassa-1186	258	2	distribution	distribution	NOUN
ijassa-1186	258	3	functions	function	NOUN
ijassa-1186	258	4	fn(x	fn(x	NOUN
ijassa-1186	258	5	)	)	PUNCT
ijassa-1186	258	6	of	of	ADP
ijassa-1186	258	7	pageranks	pagerank	NOUN
ijassa-1186	258	8	for	for	ADP
ijassa-1186	258	9	communities	community	NOUN
ijassa-1186	258	10	and	and	CCONJ
ijassa-1186	258	11	their	their	PRON
ijassa-1186	258	12	mergers	merger	NOUN
ijassa-1186	258	13	are	be	AUX
ijassa-1186	258	14	shown	show	VERB
ijassa-1186	258	15	in	in	ADP
ijassa-1186	258	16	fig	fig	NOUN
ijassa-1186	258	17	.	.	PUNCT
ijassa-1186	259	1	4.4	4.4	NUM
ijassa-1186	259	2	.	.	PUNCT
ijassa-1186	260	1	they	they	PRON
ijassa-1186	260	2	are	be	AUX
ijassa-1186	260	3	in	in	ADP
ijassa-1186	260	4	agreement	agreement	NOUN
ijassa-1186	260	5	with	with	ADP
ijassa-1186	260	6	table	table	NOUN
ijassa-1186	260	7	4.2	4.2	NUM
ijassa-1186	260	8	.	.	PUNCT
ijassa-1186	261	1	one	one	PRON
ijassa-1186	261	2	can	can	AUX
ijassa-1186	261	3	see	see	VERB
ijassa-1186	261	4	that	that	SCONJ
ijassa-1186	261	5	the	the	DET
ijassa-1186	261	6	heaviness	heaviness	NOUN
ijassa-1186	261	7	of	of	ADP
ijassa-1186	261	8	tail	tail	NOUN
ijassa-1186	261	9	of	of	ADP
ijassa-1186	261	10	the	the	DET
ijassa-1186	261	11	merges	merge	NOUN
ijassa-1186	261	12	is	be	AUX
ijassa-1186	261	13	determined	determine	VERB
ijassa-1186	261	14	by	by	ADP
ijassa-1186	261	15	the	the	DET
ijassa-1186	261	16	dominating	dominating	NOUN
ijassa-1186	261	17	community	community	NOUN
ijassa-1186	261	18	in	in	ADP
ijassa-1186	261	19	the	the	DET
ijassa-1186	261	20	merger	merger	NOUN
ijassa-1186	261	21	,	,	PUNCT
ijassa-1186	261	22	namely	namely	ADV
ijassa-1186	261	23	,	,	PUNCT
ijassa-1186	261	24	copyright	copyright	NOUN
ijassa-1186	261	25	©	©	PROPN
ijassa-1186	261	26	2022	2022	NUM
ijassa-1186	261	27	assa	assa	NOUN
ijassa-1186	261	28	.	.	PUNCT
ijassa-1186	262	1	adv	adv	PROPN
ijassa-1186	262	2	syst	syst	PROPN
ijassa-1186	262	3	sci	sci	PROPN
ijassa-1186	262	4	appl	appl	PROPN
ijassa-1186	262	5	(	(	PUNCT
ijassa-1186	262	6	2022	2022	NUM
ijassa-1186	262	7	)	)	PUNCT
ijassa-1186	262	8	30	30	NUM
ijassa-1186	262	9	n.	n.	NOUN
ijassa-1186	262	10	m.	m.	NOUN
ijassa-1186	262	11	markovich	markovich	PROPN
ijassa-1186	262	12	,	,	PUNCT
ijassa-1186	262	13	m.	m.	PROPN
ijassa-1186	262	14	s.	s.	PROPN
ijassa-1186	262	15	ryzhov	ryzhov	VERB
ijassa-1186	262	16	the	the	DET
ijassa-1186	262	17	community	community	NOUN
ijassa-1186	262	18	with	with	ADP
ijassa-1186	262	19	the	the	DET
ijassa-1186	262	20	smallest	small	ADJ
ijassa-1186	262	21	ti	ti	NOUN
ijassa-1186	262	22	.	.	PUNCT
ijassa-1186	263	1	really	really	ADV
ijassa-1186	263	2	,	,	PUNCT
ijassa-1186	263	3	the	the	DET
ijassa-1186	263	4	pagerank	pagerank	NOUN
ijassa-1186	263	5	distribution	distribution	NOUN
ijassa-1186	263	6	and	and	CCONJ
ijassa-1186	263	7	the	the	DET
ijassa-1186	263	8	ti	ti	PROPN
ijassa-1186	263	9	α̂pr	α̂pr	PROPN
ijassa-1186	263	10	of	of	ADP
ijassa-1186	263	11	the	the	DET
ijassa-1186	263	12	communityc1	communityc1	NOUN
ijassa-1186	263	13	are	be	AUX
ijassa-1186	263	14	close	close	ADJ
ijassa-1186	263	15	to	to	ADP
ijassa-1186	263	16	those	those	DET
ijassa-1186	263	17	ones	one	NOUN
ijassa-1186	263	18	ofc1	ofc1	PROPN
ijassa-1186	263	19	∪	∪	ADP
ijassa-1186	263	20	c3	c3	PROPN
ijassa-1186	263	21	∪	∪	PROPN
ijassa-1186	263	22	c5	c5	PROPN
ijassa-1186	263	23	.	.	PUNCT
ijassa-1186	264	1	the	the	DET
ijassa-1186	264	2	same	same	ADJ
ijassa-1186	264	3	is	be	AUX
ijassa-1186	264	4	valid	valid	ADJ
ijassa-1186	264	5	for	for	ADP
ijassa-1186	264	6	the	the	DET
ijassa-1186	264	7	communities	community	NOUN
ijassa-1186	264	8	c2	c2	PROPN
ijassa-1186	264	9	and	and	CCONJ
ijassa-1186	264	10	the	the	DET
ijassa-1186	264	11	c2	c2	PROPN
ijassa-1186	264	12	∪	∪	PROPN
ijassa-1186	264	13	c4	c4	PROPN
ijassa-1186	264	14	.	.	PUNCT
ijassa-1186	265	1	moreover	moreover	ADV
ijassa-1186	265	2	,	,	PUNCT
ijassa-1186	265	3	c1	c1	PROPN
ijassa-1186	265	4	and	and	CCONJ
ijassa-1186	265	5	c2	c2	PROPN
ijassa-1186	265	6	have	have	VERB
ijassa-1186	265	7	close	close	ADJ
ijassa-1186	265	8	values	value	NOUN
ijassa-1186	265	9	of	of	ADP
ijassa-1186	265	10	the	the	DET
ijassa-1186	265	11	tis	tis	PROPN
ijassa-1186	265	12	despite	despite	SCONJ
ijassa-1186	265	13	they	they	PRON
ijassa-1186	265	14	are	be	AUX
ijassa-1186	265	15	weak	weak	ADJ
ijassa-1186	265	16	connected	connected	ADJ
ijassa-1186	265	17	and	and	CCONJ
ijassa-1186	265	18	the	the	DET
ijassa-1186	265	19	smallest	small	ADJ
ijassa-1186	265	20	tis	tis	NOUN
ijassa-1186	265	21	of	of	ADP
ijassa-1186	265	22	the	the	DET
ijassa-1186	265	23	out	out	ADJ
ijassa-1186	265	24	-	-	PUNCT
ijassa-1186	265	25	degrees	degree	NOUN
ijassa-1186	265	26	and	and	CCONJ
ijassa-1186	265	27	pageranks	pagerank	NOUN
ijassa-1186	265	28	.	.	PUNCT
ijassa-1186	266	1	one	one	PRON
ijassa-1186	266	2	may	may	AUX
ijassa-1186	266	3	expect	expect	VERB
ijassa-1186	266	4	that	that	SCONJ
ijassa-1186	266	5	the	the	DET
ijassa-1186	266	6	nodes	node	NOUN
ijassa-1186	266	7	of	of	ADP
ijassa-1186	266	8	these	these	DET
ijassa-1186	266	9	communities	community	NOUN
ijassa-1186	266	10	can	can	AUX
ijassa-1186	266	11	be	be	AUX
ijassa-1186	266	12	the	the	DET
ijassa-1186	266	13	best	good	ADJ
ijassa-1186	266	14	spreaders	spreader	NOUN
ijassa-1186	266	15	.	.	PUNCT
ijassa-1186	267	1	using	use	VERB
ijassa-1186	267	2	the	the	DET
ijassa-1186	267	3	communities	community	NOUN
ijassa-1186	267	4	{	{	PUNCT
ijassa-1186	267	5	ci}5	ci}5	X
ijassa-1186	267	6	i=1	i=1	PROPN
ijassa-1186	267	7	as	as	ADP
ijassa-1186	267	8	seed	seed	NOUN
ijassa-1186	267	9	networks	network	NOUN
ijassa-1186	267	10	for	for	ADP
ijassa-1186	267	11	further	further	ADJ
ijassa-1186	267	12	evolution	evolution	NOUN
ijassa-1186	267	13	,	,	PUNCT
ijassa-1186	267	14	we	we	PRON
ijassa-1186	267	15	provide	provide	VERB
ijassa-1186	267	16	50	50	NUM
ijassa-1186	267	17	simulations	simulation	NOUN
ijassa-1186	267	18	of	of	ADP
ijassa-1186	267	19	the	the	DET
ijassa-1186	267	20	evolved	evolve	VERB
ijassa-1186	267	21	graphs	graph	NOUN
ijassa-1186	267	22	by	by	ADP
ijassa-1186	267	23	the	the	DET
ijassa-1186	267	24	pa	pa	PROPN
ijassa-1186	267	25	schemes	scheme	NOUN
ijassa-1186	267	26	.	.	PUNCT
ijassa-1186	268	1	we	we	PRON
ijassa-1186	268	2	check	check	VERB
ijassa-1186	268	3	how	how	SCONJ
ijassa-1186	268	4	the	the	DET
ijassa-1186	268	5	spread	spread	ADJ
ijassa-1186	268	6	algorithm	algorithm	NOUN
ijassa-1186	268	7	and	and	CCONJ
ijassa-1186	268	8	the	the	DET
ijassa-1186	268	9	pa	pa	PROPN
ijassa-1186	268	10	schemes	scheme	NOUN
ijassa-1186	268	11	spread	spread	VERB
ijassa-1186	268	12	one	one	NUM
ijassa-1186	268	13	message	message	NOUN
ijassa-1186	268	14	from	from	ADP
ijassa-1186	268	15	each	each	DET
ijassa-1186	268	16	node	node	NOUN
ijassa-1186	268	17	in	in	ADP
ijassa-1186	268	18	{	{	PUNCT
ijassa-1186	268	19	ci}5	ci}5	NOUN
ijassa-1186	268	20	i=1	i=1	X
ijassa-1186	268	21	to	to	ADP
ijassa-1186	268	22	the	the	DET
ijassa-1186	268	23	first	first	ADJ
ijassa-1186	268	24	arbitrary	arbitrary	ADJ
ijassa-1186	268	25	100	100	NUM
ijassa-1186	268	26	nodes	node	NOUN
ijassa-1186	268	27	.	.	PUNCT
ijassa-1186	269	1	we	we	PRON
ijassa-1186	269	2	examine	examine	VERB
ijassa-1186	269	3	values	value	NOUN
ijassa-1186	269	4	of	of	ADP
ijassa-1186	269	5	k∗	k∗	NOUN
ijassa-1186	269	6	for	for	ADP
ijassa-1186	269	7	the	the	DET
ijassa-1186	269	8	parameters	parameter	NOUN
ijassa-1186	269	9	(	(	PUNCT
ijassa-1186	269	10	α	α	X
ijassa-1186	269	11	,	,	PUNCT
ijassa-1186	269	12	β	β	X
ijassa-1186	269	13	,	,	PUNCT
ijassa-1186	269	14	γ	γ	PROPN
ijassa-1186	269	15	)	)	PUNCT
ijassa-1186	269	16	∈	∈	PROPN
ijassa-1186	269	17	{	{	PUNCT
ijassa-1186	269	18	(	(	PUNCT
ijassa-1186	269	19	0.4	0.4	NUM
ijassa-1186	269	20	,	,	PUNCT
ijassa-1186	269	21	0.2	0.2	NUM
ijassa-1186	269	22	,	,	PUNCT
ijassa-1186	269	23	0.4	0.4	NUM
ijassa-1186	269	24	)	)	PUNCT
ijassa-1186	269	25	,	,	PUNCT
ijassa-1186	269	26	(	(	PUNCT
ijassa-1186	269	27	0.3	0.3	NUM
ijassa-1186	269	28	,	,	PUNCT
ijassa-1186	269	29	0.1	0.1	NUM
ijassa-1186	269	30	,	,	PUNCT
ijassa-1186	269	31	0.6	0.6	NUM
ijassa-1186	269	32	)	)	PUNCT
ijassa-1186	269	33	}	}	PUNCT
ijassa-1186	269	34	and	and	CCONJ
ijassa-1186	269	35	∆in	∆in	NUM
ijassa-1186	269	36	=	=	SYM
ijassa-1186	269	37	∆out	∆out	X
ijassa-1186	270	1	=	=	SYM
ijassa-1186	270	2	1	1	NUM
ijassa-1186	270	3	of	of	ADP
ijassa-1186	270	4	the	the	DET
ijassa-1186	270	5	pa	pa	PROPN
ijassa-1186	270	6	schemes	scheme	NOUN
ijassa-1186	270	7	.	.	PUNCT
ijassa-1186	271	1	the	the	DET
ijassa-1186	271	2	number	number	NOUN
ijassa-1186	271	3	of	of	ADP
ijassa-1186	271	4	the	the	DET
ijassa-1186	271	5	pa	pa	PROPN
ijassa-1186	271	6	steps	step	NOUN
ijassa-1186	271	7	is	be	AUX
ijassa-1186	271	8	upper	upper	ADJ
ijassa-1186	271	9	bounded	bound	VERB
ijassa-1186	271	10	by	by	ADP
ijassa-1186	271	11	k	k	PROPN
ijassa-1186	271	12	′	′	NUM
ijassa-1186	272	1	=	=	NOUN
ijassa-1186	272	2	35	35	NUM
ijassa-1186	272	3	·	·	SYM
ijassa-1186	272	4	104	104	NUM
ijassa-1186	272	5	.	.	PUNCT
ijassa-1186	273	1	the	the	DET
ijassa-1186	273	2	resulted	resulted	ADJ
ijassa-1186	273	3	triples	triple	NOUN
ijassa-1186	273	4	(	(	PUNCT
ijassa-1186	273	5	mink∗	mink∗	NOUN
ijassa-1186	273	6	,	,	PUNCT
ijassa-1186	273	7	〈	〈	PROPN
ijassa-1186	273	8	k∗〉	k∗〉	NOUN
ijassa-1186	273	9	,	,	PUNCT
ijassa-1186	273	10	maxk∗	maxk∗	NOUN
ijassa-1186	273	11	)	)	PUNCT
ijassa-1186	273	12	with	with	ADP
ijassa-1186	273	13	the	the	DET
ijassa-1186	273	14	minimum	minimum	ADJ
ijassa-1186	273	15	,	,	PUNCT
ijassa-1186	273	16	average	average	ADJ
ijassa-1186	273	17	and	and	CCONJ
ijassa-1186	273	18	maximum	maximum	ADJ
ijassa-1186	273	19	ofk∗	ofk∗	NOUN
ijassa-1186	273	20	over	over	ADP
ijassa-1186	273	21	50	50	NUM
ijassa-1186	273	22	simulations	simulation	NOUN
ijassa-1186	273	23	of	of	ADP
ijassa-1186	273	24	the	the	DET
ijassa-1186	273	25	application	application	NOUN
ijassa-1186	273	26	of	of	ADP
ijassa-1186	273	27	the	the	DET
ijassa-1186	273	28	spread	spread	ADJ
ijassa-1186	273	29	algorithm	algorithm	NOUN
ijassa-1186	273	30	and	and	CCONJ
ijassa-1186	273	31	the	the	DET
ijassa-1186	273	32	pa	pa	PROPN
ijassa-1186	273	33	schemes	scheme	NOUN
ijassa-1186	273	34	to	to	ADP
ijassa-1186	273	35	each	each	DET
ijassa-1186	273	36	node	node	NOUN
ijassa-1186	273	37	of	of	ADP
ijassa-1186	273	38	communities	community	NOUN
ijassa-1186	273	39	{	{	PUNCT
ijassa-1186	273	40	ci}5	ci}5	NOUN
ijassa-1186	273	41	i=1	i=1	PROPN
ijassa-1186	273	42	are	be	AUX
ijassa-1186	273	43	presented	present	VERB
ijassa-1186	273	44	in	in	ADP
ijassa-1186	273	45	table	table	NOUN
ijassa-1186	273	46	4.3	4.3	NUM
ijassa-1186	273	47	.	.	PUNCT
ijassa-1186	274	1	(	(	PUNCT
ijassa-1186	274	2	α	α	X
ijassa-1186	274	3	,	,	PUNCT
ijassa-1186	274	4	β	β	X
ijassa-1186	274	5	,	,	PUNCT
ijassa-1186	274	6	γ	γ	NOUN
ijassa-1186	274	7	)	)	PUNCT
ijassa-1186	274	8	algorithm	algorithm	NOUN
ijassa-1186	274	9	community	community	NOUN
ijassa-1186	274	10	(	(	PUNCT
ijassa-1186	274	11	0.4	0.4	NUM
ijassa-1186	274	12	,	,	PUNCT
ijassa-1186	274	13	0.2	0.2	NUM
ijassa-1186	274	14	,	,	PUNCT
ijassa-1186	274	15	0.4	0.4	NUM
ijassa-1186	274	16	)	)	PUNCT
ijassa-1186	274	17	(	(	PUNCT
ijassa-1186	274	18	0.3	0.3	NUM
ijassa-1186	274	19	,	,	PUNCT
ijassa-1186	274	20	0.1	0.1	NUM
ijassa-1186	274	21	,	,	PUNCT
ijassa-1186	274	22	0.6	0.6	NUM
ijassa-1186	274	23	)	)	PUNCT
ijassa-1186	274	24	c1	c1	NOUN
ijassa-1186	274	25	(	(	PUNCT
ijassa-1186	274	26	18866	18866	NUM
ijassa-1186	274	27	,	,	PUNCT
ijassa-1186	274	28	128739.0	128739.0	NUM
ijassa-1186	274	29	,	,	PUNCT
ijassa-1186	274	30	232350	232350	NUM
ijassa-1186	274	31	)	)	PUNCT
ijassa-1186	274	32	(	(	PUNCT
ijassa-1186	274	33	31675	31675	NUM
ijassa-1186	274	34	,	,	PUNCT
ijassa-1186	274	35	158485.4	158485.4	NUM
ijassa-1186	274	36	,	,	PUNCT
ijassa-1186	274	37	322566	322566	NUM
ijassa-1186	274	38	)	)	PUNCT
ijassa-1186	274	39	c2	c2	PROPN
ijassa-1186	274	40	(	(	PUNCT
ijassa-1186	274	41	46166	46166	NUM
ijassa-1186	274	42	,	,	PUNCT
ijassa-1186	274	43	127821.3	127821.3	NUM
ijassa-1186	274	44	,	,	PUNCT
ijassa-1186	274	45	263166	263166	NUM
ijassa-1186	274	46	)	)	PUNCT
ijassa-1186	274	47	(	(	PUNCT
ijassa-1186	274	48	27075	27075	NUM
ijassa-1186	274	49	,	,	PUNCT
ijassa-1186	274	50	148624.7	148624.7	NUM
ijassa-1186	274	51	,	,	PUNCT
ijassa-1186	274	52	312100	312100	NUM
ijassa-1186	274	53	)	)	PUNCT
ijassa-1186	274	54	spread	spread	VERB
ijassa-1186	274	55	c3	c3	NOUN
ijassa-1186	274	56	(	(	PUNCT
ijassa-1186	274	57	44242	44242	NUM
ijassa-1186	274	58	,	,	PUNCT
ijassa-1186	274	59	128236.4	128236.4	NUM
ijassa-1186	274	60	,	,	PUNCT
ijassa-1186	274	61	214050	214050	NUM
ijassa-1186	274	62	)	)	PUNCT
ijassa-1186	274	63	(	(	PUNCT
ijassa-1186	274	64	37766	37766	NUM
ijassa-1186	274	65	,	,	PUNCT
ijassa-1186	274	66	149498.0	149498.0	NUM
ijassa-1186	274	67	,	,	PUNCT
ijassa-1186	274	68	305433	305433	NUM
ijassa-1186	274	69	)	)	PUNCT
ijassa-1186	274	70	c4	c4	NOUN
ijassa-1186	274	71	(	(	PUNCT
ijassa-1186	274	72	62450	62450	NUM
ijassa-1186	274	73	,	,	PUNCT
ijassa-1186	274	74	120647	120647	NUM
ijassa-1186	274	75	.3	.3	NUM
ijassa-1186	274	76	,	,	PUNCT
ijassa-1186	274	77	233325	233325	NUM
ijassa-1186	274	78	)	)	PUNCT
ijassa-1186	274	79	(	(	PUNCT
ijassa-1186	274	80	44366	44366	NUM
ijassa-1186	274	81	,	,	PUNCT
ijassa-1186	274	82	140530	140530	NUM
ijassa-1186	274	83	.3	.3	NUM
ijassa-1186	274	84	,	,	PUNCT
ijassa-1186	274	85	250233	250233	NUM
ijassa-1186	274	86	)	)	PUNCT
ijassa-1186	274	87	c5	c5	PROPN
ijassa-1186	274	88	(	(	PUNCT
ijassa-1186	274	89	57900	57900	NUM
ijassa-1186	274	90	,	,	PUNCT
ijassa-1186	274	91	125888.5	125888.5	NUM
ijassa-1186	274	92	,	,	PUNCT
ijassa-1186	274	93	189200	189200	NUM
ijassa-1186	274	94	)	)	PUNCT
ijassa-1186	274	95	(	(	PUNCT
ijassa-1186	274	96	82966	82966	NUM
ijassa-1186	274	97	,	,	PUNCT
ijassa-1186	274	98	159207.1	159207.1	NUM
ijassa-1186	274	99	,	,	PUNCT
ijassa-1186	274	100	332700	332700	NUM
ijassa-1186	274	101	)	)	PUNCT
ijassa-1186	274	102	c1	c1	NOUN
ijassa-1186	274	103	(	(	PUNCT
ijassa-1186	274	104	2808	2808	NUM
ijassa-1186	274	105	,	,	PUNCT
ijassa-1186	274	106	47019.0	47019.0	NUM
ijassa-1186	274	107	,	,	PUNCT
ijassa-1186	274	108	184560	184560	NUM
ijassa-1186	274	109	)	)	PUNCT
ijassa-1186	274	110	(	(	PUNCT
ijassa-1186	274	111	4804	4804	NUM
ijassa-1186	274	112	,	,	PUNCT
ijassa-1186	274	113	54782.3	54782.3	NUM
ijassa-1186	274	114	,	,	PUNCT
ijassa-1186	274	115	166520	166520	NUM
ijassa-1186	274	116	)	)	PUNCT
ijassa-1186	274	117	c2	c2	PROPN
ijassa-1186	274	118	(	(	PUNCT
ijassa-1186	274	119	3048	3048	NUM
ijassa-1186	274	120	,	,	PUNCT
ijassa-1186	274	121	46940.4	46940.4	NUM
ijassa-1186	274	122	,	,	PUNCT
ijassa-1186	274	123	190466	190466	NUM
ijassa-1186	274	124	)	)	PUNCT
ijassa-1186	274	125	(	(	PUNCT
ijassa-1186	274	126	3907	3907	NUM
ijassa-1186	274	127	,	,	PUNCT
ijassa-1186	274	128	55853.6	55853.6	NUM
ijassa-1186	274	129	,	,	PUNCT
ijassa-1186	274	130	161633	161633	NUM
ijassa-1186	274	131	)	)	PUNCT
ijassa-1186	274	132	pa	pa	PROPN
ijassa-1186	274	133	c3	c3	PROPN
ijassa-1186	274	134	(	(	PUNCT
ijassa-1186	274	135	3061	3061	NUM
ijassa-1186	274	136	,	,	PUNCT
ijassa-1186	274	137	32599	32599	NUM
ijassa-1186	274	138	.5	.5	NUM
ijassa-1186	274	139	,	,	PUNCT
ijassa-1186	274	140	103911	103911	NUM
ijassa-1186	274	141	)	)	PUNCT
ijassa-1186	274	142	(	(	PUNCT
ijassa-1186	274	143	6461	6461	NUM
ijassa-1186	274	144	,	,	PUNCT
ijassa-1186	274	145	41223	41223	NUM
ijassa-1186	274	146	.9	.9	NUM
ijassa-1186	274	147	,	,	PUNCT
ijassa-1186	274	148	92542	92542	NUM
ijassa-1186	274	149	)	)	PUNCT
ijassa-1186	274	150	c4	c4	NOUN
ijassa-1186	274	151	(	(	PUNCT
ijassa-1186	274	152	3960	3960	NUM
ijassa-1186	274	153	,	,	PUNCT
ijassa-1186	274	154	39293.6	39293.6	NUM
ijassa-1186	274	155	,	,	PUNCT
ijassa-1186	274	156	116357	116357	NUM
ijassa-1186	274	157	)	)	PUNCT
ijassa-1186	274	158	(	(	PUNCT
ijassa-1186	274	159	6149	6149	NUM
ijassa-1186	274	160	,	,	PUNCT
ijassa-1186	274	161	44848.1	44848.1	NUM
ijassa-1186	274	162	,	,	PUNCT
ijassa-1186	274	163	141400	141400	NUM
ijassa-1186	274	164	)	)	PUNCT
ijassa-1186	274	165	c5	c5	PROPN
ijassa-1186	274	166	(	(	PUNCT
ijassa-1186	274	167	2885	2885	NUM
ijassa-1186	274	168	,	,	PUNCT
ijassa-1186	274	169	42192.8	42192.8	NUM
ijassa-1186	274	170	,	,	PUNCT
ijassa-1186	274	171	117966	117966	NUM
ijassa-1186	274	172	)	)	PUNCT
ijassa-1186	274	173	(	(	PUNCT
ijassa-1186	274	174	7470	7470	NUM
ijassa-1186	274	175	,	,	PUNCT
ijassa-1186	274	176	48430.5	48430.5	NUM
ijassa-1186	274	177	,	,	PUNCT
ijassa-1186	274	178	130366	130366	NUM
ijassa-1186	274	179	)	)	PUNCT
ijassa-1186	274	180	spread	spread	VERB
ijassa-1186	274	181	c1	c1	PROPN
ijassa-1186	274	182	∪	∪	ADP
ijassa-1186	274	183	c3	c3	PROPN
ijassa-1186	274	184	∪	∪	X
ijassa-1186	274	185	c5	c5	PROPN
ijassa-1186	274	186	(	(	PUNCT
ijassa-1186	274	187	18866	18866	NUM
ijassa-1186	274	188	,	,	PUNCT
ijassa-1186	274	189	128100.8	128100.8	NUM
ijassa-1186	274	190	,	,	PUNCT
ijassa-1186	274	191	232350	232350	NUM
ijassa-1186	274	192	)	)	PUNCT
ijassa-1186	274	193	(	(	PUNCT
ijassa-1186	274	194	31675	31675	NUM
ijassa-1186	274	195	,	,	PUNCT
ijassa-1186	274	196	156110.2	156110.2	NUM
ijassa-1186	274	197	,	,	PUNCT
ijassa-1186	274	198	332700	332700	NUM
ijassa-1186	274	199	)	)	PUNCT
ijassa-1186	274	200	c2	c2	PROPN
ijassa-1186	274	201	∪	∪	PROPN
ijassa-1186	274	202	c4	c4	PROPN
ijassa-1186	274	203	(	(	PUNCT
ijassa-1186	274	204	46166	46166	NUM
ijassa-1186	274	205	,	,	PUNCT
ijassa-1186	274	206	126068	126068	NUM
ijassa-1186	274	207	.6	.6	NUM
ijassa-1186	274	208	,	,	PUNCT
ijassa-1186	274	209	263166	263166	NUM
ijassa-1186	274	210	)	)	PUNCT
ijassa-1186	274	211	(	(	PUNCT
ijassa-1186	274	212	27075	27075	NUM
ijassa-1186	274	213	,	,	PUNCT
ijassa-1186	274	214	146630	146630	NUM
ijassa-1186	274	215	.1	.1	NUM
ijassa-1186	274	216	,	,	PUNCT
ijassa-1186	274	217	312100	312100	NUM
ijassa-1186	274	218	)	)	PUNCT
ijassa-1186	275	1	pa	pa	PROPN
ijassa-1186	275	2	c1	c1	PROPN
ijassa-1186	275	3	∪	∪	ADP
ijassa-1186	275	4	c3	c3	PROPN
ijassa-1186	275	5	∪	∪	X
ijassa-1186	275	6	c5	c5	PROPN
ijassa-1186	275	7	(	(	PUNCT
ijassa-1186	275	8	2808	2808	NUM
ijassa-1186	275	9	,	,	PUNCT
ijassa-1186	275	10	42169	42169	NUM
ijassa-1186	275	11	.5	.5	NUM
ijassa-1186	275	12	,	,	PUNCT
ijassa-1186	275	13	184560	184560	NUM
ijassa-1186	275	14	)	)	PUNCT
ijassa-1186	275	15	(	(	PUNCT
ijassa-1186	275	16	4804	4804	NUM
ijassa-1186	275	17	,	,	PUNCT
ijassa-1186	275	18	49905	49905	NUM
ijassa-1186	275	19	.2	.2	NUM
ijassa-1186	275	20	,	,	PUNCT
ijassa-1186	275	21	166520	166520	NUM
ijassa-1186	275	22	)	)	PUNCT
ijassa-1186	275	23	c2	c2	PROPN
ijassa-1186	275	24	∪	∪	PROPN
ijassa-1186	275	25	c4	c4	PROPN
ijassa-1186	275	26	(	(	PUNCT
ijassa-1186	275	27	4804	4804	NUM
ijassa-1186	275	28	,	,	PUNCT
ijassa-1186	275	29	54782.3	54782.3	NUM
ijassa-1186	275	30	,	,	PUNCT
ijassa-1186	275	31	166520	166520	NUM
ijassa-1186	275	32	)	)	PUNCT
ijassa-1186	275	33	(	(	PUNCT
ijassa-1186	275	34	3907	3907	NUM
ijassa-1186	275	35	,	,	PUNCT
ijassa-1186	275	36	53164.7	53164.7	NUM
ijassa-1186	275	37	,	,	PUNCT
ijassa-1186	275	38	161633	161633	NUM
ijassa-1186	275	39	)	)	PUNCT
ijassa-1186	275	40	table	table	NOUN
ijassa-1186	275	41	4.3	4.3	NUM
ijassa-1186	275	42	.	.	PUNCT
ijassa-1186	276	1	the	the	DET
ijassa-1186	276	2	triples	triple	NOUN
ijassa-1186	276	3	(	(	PUNCT
ijassa-1186	276	4	mink∗	mink∗	NOUN
ijassa-1186	276	5	,	,	PUNCT
ijassa-1186	276	6	〈	〈	PROPN
ijassa-1186	276	7	k∗〉	k∗〉	NOUN
ijassa-1186	276	8	,	,	PUNCT
ijassa-1186	276	9	maxk∗	maxk∗	NOUN
ijassa-1186	276	10	)	)	PUNCT
ijassa-1186	276	11	corresponding	correspond	VERB
ijassa-1186	276	12	to	to	ADP
ijassa-1186	276	13	graphs	graph	NOUN
ijassa-1186	276	14	generated	generate	VERB
ijassa-1186	276	15	by	by	ADP
ijassa-1186	276	16	the	the	DET
ijassa-1186	276	17	pa	pa	PROPN
ijassa-1186	276	18	schemes	scheme	NOUN
ijassa-1186	276	19	with	with	ADP
ijassa-1186	276	20	two	two	NUM
ijassa-1186	276	21	sets	set	NOUN
ijassa-1186	276	22	of	of	ADP
ijassa-1186	276	23	parameters	parameter	NOUN
ijassa-1186	276	24	where	where	SCONJ
ijassa-1186	276	25	the	the	DET
ijassa-1186	276	26	minimum	minimum	ADJ
ijassa-1186	276	27	values	value	NOUN
ijassa-1186	276	28	of	of	ADP
ijassa-1186	276	29	mink∗	mink∗	NOUN
ijassa-1186	276	30	are	be	AUX
ijassa-1186	276	31	marked	mark	VERB
ijassa-1186	276	32	by	by	ADP
ijassa-1186	276	33	bold	bold	ADJ
ijassa-1186	276	34	,	,	PUNCT
ijassa-1186	276	35	the	the	DET
ijassa-1186	276	36	minimum	minimum	ADJ
ijassa-1186	276	37	values	value	NOUN
ijassa-1186	276	38	of	of	ADP
ijassa-1186	276	39	〈	〈	PROPN
ijassa-1186	276	40	k∗	k∗	PROPN
ijassa-1186	276	41	〉	〉	PROPN
ijassa-1186	276	42	and	and	CCONJ
ijassa-1186	276	43	maxk∗	maxk∗	NOUN
ijassa-1186	276	44	by	by	ADP
ijassa-1186	276	45	italic	italic	ADJ
ijassa-1186	276	46	.	.	PUNCT
ijassa-1186	277	1	conclusions	conclusion	NOUN
ijassa-1186	277	2	from	from	ADP
ijassa-1186	277	3	table	table	NOUN
ijassa-1186	277	4	4.3	4.3	NUM
ijassa-1186	277	5	are	be	AUX
ijassa-1186	277	6	the	the	DET
ijassa-1186	277	7	following	following	NOUN
ijassa-1186	277	8	.	.	PUNCT
ijassa-1186	278	1	the	the	DET
ijassa-1186	278	2	communities	community	NOUN
ijassa-1186	278	3	c1	c1	PROPN
ijassa-1186	278	4	or	or	CCONJ
ijassa-1186	278	5	c2	c2	PROPN
ijassa-1186	278	6	have	have	VERB
ijassa-1186	278	7	the	the	DET
ijassa-1186	278	8	smallest	small	ADJ
ijassa-1186	278	9	values	value	NOUN
ijassa-1186	278	10	of	of	ADP
ijassa-1186	278	11	minimum	minimum	ADJ
ijassa-1186	278	12	k∗	k∗	NOUN
ijassa-1186	278	13	for	for	ADP
ijassa-1186	278	14	each	each	DET
ijassa-1186	278	15	set	set	NOUN
ijassa-1186	278	16	of	of	ADP
ijassa-1186	278	17	parameters	parameter	NOUN
ijassa-1186	278	18	and	and	CCONJ
ijassa-1186	278	19	each	each	DET
ijassa-1186	278	20	spreading	spread	VERB
ijassa-1186	278	21	algorithm	algorithm	NOUN
ijassa-1186	278	22	.	.	PUNCT
ijassa-1186	279	1	both	both	PRON
ijassa-1186	279	2	of	of	ADP
ijassa-1186	279	3	them	they	PRON
ijassa-1186	279	4	have	have	VERB
ijassa-1186	279	5	the	the	DET
ijassa-1186	279	6	lowest	low	ADJ
ijassa-1186	279	7	tis	tis	NOUN
ijassa-1186	279	8	αout	αout	NOUN
ijassa-1186	279	9	and	and	CCONJ
ijassa-1186	279	10	αpr	αpr	NOUN
ijassa-1186	279	11	,	,	PUNCT
ijassa-1186	279	12	see	see	VERB
ijassa-1186	279	13	table	table	NOUN
ijassa-1186	279	14	4.2	4.2	NUM
ijassa-1186	279	15	.	.	PUNCT
ijassa-1186	280	1	since	since	SCONJ
ijassa-1186	280	2	the	the	DET
ijassa-1186	280	3	ti	ti	NOUN
ijassa-1186	280	4	of	of	ADP
ijassa-1186	280	5	the	the	DET
ijassa-1186	280	6	out	out	ADJ
ijassa-1186	280	7	-	-	PUNCT
ijassa-1186	280	8	degrees	degree	NOUN
ijassa-1186	280	9	is	be	AUX
ijassa-1186	280	10	smaller	small	ADJ
ijassa-1186	280	11	than	than	ADP
ijassa-1186	280	12	2	2	NUM
ijassa-1186	280	13	,	,	PUNCT
ijassa-1186	280	14	the	the	DET
ijassa-1186	280	15	out	out	ADJ
ijassa-1186	280	16	-	-	PUNCT
ijassa-1186	280	17	degrees	degree	NOUN
ijassa-1186	280	18	have	have	VERB
ijassa-1186	280	19	an	an	DET
ijassa-1186	280	20	infinite	infinite	ADJ
ijassa-1186	280	21	variance	variance	NOUN
ijassa-1186	280	22	.	.	PUNCT
ijassa-1186	281	1	the	the	DET
ijassa-1186	281	2	nodes	node	NOUN
ijassa-1186	281	3	with	with	ADP
ijassa-1186	281	4	such	such	ADJ
ijassa-1186	281	5	large	large	ADJ
ijassa-1186	281	6	numbers	number	NOUN
ijassa-1186	281	7	of	of	ADP
ijassa-1186	281	8	outgoing	outgoing	ADJ
ijassa-1186	281	9	links	link	NOUN
ijassa-1186	281	10	are	be	AUX
ijassa-1186	281	11	in	in	ADP
ijassa-1186	281	12	fact	fact	NOUN
ijassa-1186	281	13	the	the	DET
ijassa-1186	281	14	best	good	ADJ
ijassa-1186	281	15	spreaders	spreader	NOUN
ijassa-1186	281	16	.	.	PUNCT
ijassa-1186	282	1	the	the	DET
ijassa-1186	282	2	minimum	minimum	ADJ
ijassa-1186	282	3	averages	average	NOUN
ijassa-1186	282	4	and	and	CCONJ
ijassa-1186	282	5	maximum	maximum	ADJ
ijassa-1186	282	6	values	value	NOUN
ijassa-1186	282	7	of	of	ADP
ijassa-1186	282	8	k∗	k∗	PROPN
ijassa-1186	282	9	relate	relate	VERB
ijassa-1186	282	10	to	to	ADP
ijassa-1186	282	11	c3	c3	PROPN
ijassa-1186	282	12	and	and	CCONJ
ijassa-1186	282	13	c4	c4	NOUN
ijassa-1186	282	14	with	with	ADP
ijassa-1186	282	15	lighter	light	ADJ
ijassa-1186	282	16	distribution	distribution	NOUN
ijassa-1186	282	17	tails	tail	NOUN
ijassa-1186	282	18	due	due	ADJ
ijassa-1186	282	19	to	to	ADP
ijassa-1186	282	20	the	the	DET
ijassa-1186	282	21	relatively	relatively	ADV
ijassa-1186	282	22	larger	large	ADJ
ijassa-1186	282	23	tis	tis	NOUN
ijassa-1186	282	24	.	.	PROPN
ijassa-1186	282	25	5	5	NUM
ijassa-1186	282	26	.	.	X
ijassa-1186	282	27	comparison	comparison	NOUN
ijassa-1186	282	28	of	of	ADP
ijassa-1186	282	29	spreading	spread	VERB
ijassa-1186	282	30	models	model	NOUN
ijassa-1186	282	31	for	for	ADP
ijassa-1186	282	32	real	real	ADJ
ijassa-1186	282	33	graphs	graph	NOUN
ijassa-1186	282	34	here	here	ADV
ijassa-1186	282	35	,	,	PUNCT
ijassa-1186	282	36	we	we	PRON
ijassa-1186	282	37	investigate	investigate	VERB
ijassa-1186	282	38	the	the	DET
ijassa-1186	282	39	effectiveness	effectiveness	NOUN
ijassa-1186	282	40	of	of	ADP
ijassa-1186	282	41	the	the	DET
ijassa-1186	282	42	spread	spread	NOUN
ijassa-1186	282	43	and	and	CCONJ
ijassa-1186	282	44	the	the	DET
ijassa-1186	282	45	pa	pa	NOUN
ijassa-1186	282	46	spreading	spread	VERB
ijassa-1186	282	47	models	model	NOUN
ijassa-1186	282	48	(	(	PUNCT
ijassa-1186	282	49	see	see	VERB
ijassa-1186	282	50	,	,	PUNCT
ijassa-1186	282	51	sections	section	VERB
ijassa-1186	282	52	2.1	2.1	NUM
ijassa-1186	282	53	and	and	CCONJ
ijassa-1186	282	54	2.2	2.2	NUM
ijassa-1186	282	55	)	)	PUNCT
ijassa-1186	282	56	for	for	ADP
ijassa-1186	282	57	real	real	ADJ
ijassa-1186	282	58	graphs	graph	NOUN
ijassa-1186	282	59	.	.	PUNCT
ijassa-1186	283	1	the	the	DET
ijassa-1186	283	2	temporal	temporal	ADJ
ijassa-1186	283	3	graphs	graph	NOUN
ijassa-1186	283	4	(	(	PUNCT
ijassa-1186	283	5	i.e.	i.e.	X
ijassa-1186	283	6	networks	network	NOUN
ijassa-1186	283	7	where	where	SCONJ
ijassa-1186	283	8	edges	edge	NOUN
ijassa-1186	283	9	have	have	AUX
ijassa-1186	283	10	timestamps†	timestamps†	NOUN
ijassa-1186	283	11	)	)	PUNCT
ijassa-1186	283	12	provided	provide	VERB
ijassa-1186	283	13	in	in	ADP
ijassa-1186	283	14	[	[	X
ijassa-1186	283	15	17	17	NUM
ijassa-1186	283	16	]	]	PUNCT
ijassa-1186	283	17	were	be	AUX
ijassa-1186	283	18	used	use	VERB
ijassa-1186	283	19	as	as	ADP
ijassa-1186	283	20	an	an	DET
ijassa-1186	283	21	example	example	NOUN
ijassa-1186	283	22	.	.	PUNCT
ijassa-1186	284	1	among	among	ADP
ijassa-1186	284	2	them	they	PRON
ijassa-1186	284	3	there	there	PRON
ijassa-1186	284	4	are	be	VERB
ijassa-1186	284	5	graphs	graph	NOUN
ijassa-1186	284	6	of	of	ADP
ijassa-1186	284	7	messages	message	NOUN
ijassa-1186	284	8	and	and	CCONJ
ijassa-1186	284	9	comments	comment	NOUN
ijassa-1186	284	10	from	from	ADP
ijassa-1186	284	11	websites	website	NOUN
ijassa-1186	284	12	(	(	PUNCT
ijassa-1186	284	13	sx	sx	NOUN
ijassa-1186	284	14	-	-	PUNCT
ijassa-1186	284	15	mathoverflow	mathoverflow	NOUN
ijassa-1186	284	16	,	,	PUNCT
ijassa-1186	284	17	sx	sx	NOUN
ijassa-1186	284	18	-	-	PUNCT
ijassa-1186	284	19	askubuntu	askubuntu	NOUN
ijassa-1186	284	20	,	,	PUNCT
ijassa-1186	284	21	collegemsg	collegemsg	NOUN
ijassa-1186	284	22	)	)	PUNCT
ijassa-1186	284	23	,	,	PUNCT
ijassa-1186	284	24	†for	†for	ADP
ijassa-1186	284	25	instance	instance	NOUN
ijassa-1186	284	26	,	,	PUNCT
ijassa-1186	284	27	a	a	DET
ijassa-1186	284	28	directed	direct	VERB
ijassa-1186	284	29	edge	edge	NOUN
ijassa-1186	284	30	(	(	PUNCT
ijassa-1186	284	31	u	u	NOUN
ijassa-1186	284	32	,	,	PUNCT
ijassa-1186	284	33	v	v	PROPN
ijassa-1186	284	34	,	,	PUNCT
ijassa-1186	284	35	t	t	PROPN
ijassa-1186	284	36	)	)	PUNCT
ijassa-1186	284	37	means	mean	VERB
ijassa-1186	284	38	that	that	DET
ijassa-1186	284	39	person	person	NOUN
ijassa-1186	284	40	u	u	PRON
ijassa-1186	284	41	sent	send	VERB
ijassa-1186	284	42	an	an	DET
ijassa-1186	284	43	e	e	NOUN
ijassa-1186	284	44	-	-	NOUN
ijassa-1186	284	45	mail	mail	NOUN
ijassa-1186	284	46	to	to	PART
ijassa-1186	284	47	person	person	VERB
ijassa-1186	284	48	v	v	NOUN
ijassa-1186	284	49	at	at	ADP
ijassa-1186	284	50	time	time	NOUN
ijassa-1186	284	51	t.	t.	NOUN
ijassa-1186	284	52	copyright	copyright	NOUN
ijassa-1186	284	53	©	©	PROPN
ijassa-1186	284	54	2022	2022	NUM
ijassa-1186	284	55	assa	assa	NOUN
ijassa-1186	284	56	.	.	PUNCT
ijassa-1186	285	1	adv	adv	PROPN
ijassa-1186	285	2	syst	syst	PROPN
ijassa-1186	285	3	sci	sci	PROPN
ijassa-1186	285	4	appl	appl	PROPN
ijassa-1186	285	5	(	(	PUNCT
ijassa-1186	285	6	2022	2022	NUM
ijassa-1186	285	7	)	)	PUNCT
ijassa-1186	285	8	information	information	NOUN
ijassa-1186	285	9	spreading	spread	VERB
ijassa-1186	285	10	and	and	CCONJ
ijassa-1186	285	11	evolution	evolution	NOUN
ijassa-1186	285	12	of	of	ADP
ijassa-1186	285	13	non	non	ADJ
ijassa-1186	285	14	-	-	ADJ
ijassa-1186	285	15	homogeneous	homogeneous	ADJ
ijassa-1186	285	16	networks	network	NOUN
ijassa-1186	285	17	31	31	NUM
ijassa-1186	285	18	graphs	graph	NOUN
ijassa-1186	285	19	of	of	ADP
ijassa-1186	285	20	bitcoin	bitcoin	NOUN
ijassa-1186	285	21	transactions	transaction	NOUN
ijassa-1186	285	22	(	(	PUNCT
ijassa-1186	285	23	soc	soc	NOUN
ijassa-1186	285	24	-	-	PUNCT
ijassa-1186	285	25	sign	sign	NOUN
ijassa-1186	285	26	-	-	PUNCT
ijassa-1186	285	27	bitcoin	bitcoin	NOUN
ijassa-1186	285	28	-	-	PUNCT
ijassa-1186	285	29	otc	otc	PROPN
ijassa-1186	285	30	,	,	PUNCT
ijassa-1186	285	31	soc	soc	NOUN
ijassa-1186	285	32	-	-	PUNCT
ijassa-1186	285	33	sign	sign	NOUN
ijassa-1186	285	34	-	-	PUNCT
ijassa-1186	285	35	bitcoin	bitcoin	NOUN
ijassa-1186	285	36	-	-	PUNCT
ijassa-1186	285	37	alpha	alpha	NOUN
ijassa-1186	285	38	)	)	PUNCT
ijassa-1186	285	39	and	and	CCONJ
ijassa-1186	285	40	graphs	graph	NOUN
ijassa-1186	285	41	of	of	ADP
ijassa-1186	285	42	email	email	NOUN
ijassa-1186	285	43	communication	communication	NOUN
ijassa-1186	285	44	(	(	PUNCT
ijassa-1186	285	45	email	email	NOUN
ijassa-1186	285	46	-	-	PUNCT
ijassa-1186	285	47	eu	eu	PROPN
ijassa-1186	285	48	,	,	PUNCT
ijassa-1186	285	49	email	email	NOUN
ijassa-1186	285	50	-	-	PUNCT
ijassa-1186	285	51	eu	eu	NOUN
ijassa-1186	285	52	-	-	ADJ
ijassa-1186	285	53	dept1	dept1	ADJ
ijassa-1186	285	54	and	and	CCONJ
ijassa-1186	285	55	others	other	NOUN
ijassa-1186	285	56	)	)	PUNCT
ijassa-1186	285	57	.	.	PUNCT
ijassa-1186	286	1	their	their	PRON
ijassa-1186	286	2	description	description	NOUN
ijassa-1186	286	3	can	can	AUX
ijassa-1186	286	4	be	be	AUX
ijassa-1186	286	5	found	find	VERB
ijassa-1186	286	6	in	in	ADP
ijassa-1186	286	7	table	table	NOUN
ijassa-1186	286	8	5.4	5.4	NUM
ijassa-1186	286	9	.	.	PUNCT
ijassa-1186	287	1	name	name	NOUN
ijassa-1186	287	2	number	number	NOUN
ijassa-1186	287	3	of	of	ADP
ijassa-1186	287	4	number	number	NOUN
ijassa-1186	287	5	of	of	ADP
ijassa-1186	287	6	description	description	NOUN
ijassa-1186	287	7	nodes	nod	VERB
ijassa-1186	287	8	temporal	temporal	ADJ
ijassa-1186	287	9	edges	edge	NOUN
ijassa-1186	287	10	sx	sx	NOUN
ijassa-1186	287	11	-	-	PUNCT
ijassa-1186	287	12	mathoverflow	mathoverflow	NOUN
ijassa-1186	287	13	24818	24818	NUM
ijassa-1186	287	14	506550	506550	NUM
ijassa-1186	287	15	comments	comment	NOUN
ijassa-1186	287	16	,	,	PUNCT
ijassa-1186	287	17	questions	question	NOUN
ijassa-1186	287	18	,	,	PUNCT
ijassa-1186	287	19	(	(	PUNCT
ijassa-1186	287	20	m	m	NOUN
ijassa-1186	287	21	-	-	NOUN
ijassa-1186	287	22	overlow	overlow	NOUN
ijassa-1186	287	23	)	)	PUNCT
ijassa-1186	287	24	and	and	CCONJ
ijassa-1186	287	25	answers	answer	NOUN
ijassa-1186	287	26	on	on	ADP
ijassa-1186	287	27	math	math	NOUN
ijassa-1186	287	28	overflow	overflow	NOUN
ijassa-1186	287	29	sx	sx	PROPN
ijassa-1186	287	30	-	-	PUNCT
ijassa-1186	287	31	askubuntu	askubuntu	NOUN
ijassa-1186	287	32	159316	159316	NUM
ijassa-1186	287	33	964437	964437	NUM
ijassa-1186	287	34	comments	comment	NOUN
ijassa-1186	287	35	,	,	PUNCT
ijassa-1186	287	36	questions	question	NOUN
ijassa-1186	287	37	,	,	PUNCT
ijassa-1186	287	38	(	(	PUNCT
ijassa-1186	287	39	askub	askub	ADJ
ijassa-1186	287	40	)	)	PUNCT
ijassa-1186	287	41	and	and	CCONJ
ijassa-1186	287	42	answers	answer	NOUN
ijassa-1186	287	43	on	on	ADP
ijassa-1186	287	44	ask	ask	VERB
ijassa-1186	287	45	ubuntu	ubuntu	ADJ
ijassa-1186	287	46	email	email	NOUN
ijassa-1186	287	47	-	-	PUNCT
ijassa-1186	287	48	eu	eu	PROPN
ijassa-1186	287	49	986	986	NUM
ijassa-1186	287	50	332334	332334	NUM
ijassa-1186	287	51	e	e	NOUN
ijassa-1186	287	52	-	-	NOUN
ijassa-1186	287	53	mails	mail	NOUN
ijassa-1186	287	54	between	between	ADP
ijassa-1186	287	55	users	user	NOUN
ijassa-1186	287	56	(	(	PUNCT
ijassa-1186	287	57	eu	eu	NOUN
ijassa-1186	287	58	)	)	PUNCT
ijassa-1186	287	59	at	at	ADP
ijassa-1186	287	60	a	a	DET
ijassa-1186	287	61	research	research	NOUN
ijassa-1186	287	62	institution	institution	NOUN
ijassa-1186	287	63	email	email	NOUN
ijassa-1186	287	64	-	-	PUNCT
ijassa-1186	287	65	eu	eu	NOUN
ijassa-1186	287	66	-	-	ADJ
ijassa-1186	287	67	dept1	dept1	ADJ
ijassa-1186	287	68	(	(	PUNCT
ijassa-1186	287	69	eu	eu	NOUN
ijassa-1186	287	70	-	-	ADJ
ijassa-1186	287	71	dept1	dept1	ADJ
ijassa-1186	287	72	)	)	PUNCT
ijassa-1186	287	73	309	309	NUM
ijassa-1186	287	74	61046	61046	NUM
ijassa-1186	287	75	email	email	NOUN
ijassa-1186	287	76	-	-	PUNCT
ijassa-1186	287	77	eu	eu	NOUN
ijassa-1186	287	78	-	-	NOUN
ijassa-1186	287	79	dept2	dept2	NOUN
ijassa-1186	287	80	(	(	PUNCT
ijassa-1186	287	81	eu	eu	NOUN
ijassa-1186	287	82	-	-	NOUN
ijassa-1186	287	83	dept2	dept2	NOUN
ijassa-1186	287	84	)	)	PUNCT
ijassa-1186	287	85	162	162	NUM
ijassa-1186	287	86	46772	46772	NUM
ijassa-1186	287	87	email	email	NOUN
ijassa-1186	287	88	-	-	PUNCT
ijassa-1186	287	89	eu	eu	NOUN
ijassa-1186	287	90	-	-	NOUN
ijassa-1186	287	91	dept3	dept3	NOUN
ijassa-1186	287	92	(	(	PUNCT
ijassa-1186	287	93	eu	eu	NOUN
ijassa-1186	287	94	-	-	NOUN
ijassa-1186	287	95	dept3	dept3	NOUN
ijassa-1186	287	96	)	)	PUNCT
ijassa-1186	288	1	89	89	NUM
ijassa-1186	288	2	12216	12216	NUM
ijassa-1186	288	3	email	email	NOUN
ijassa-1186	288	4	-	-	PUNCT
ijassa-1186	288	5	eu	eu	NOUN
ijassa-1186	288	6	-	-	NOUN
ijassa-1186	288	7	dept4	dept4	NOUN
ijassa-1186	288	8	(	(	PUNCT
ijassa-1186	288	9	eu	eu	NOUN
ijassa-1186	288	10	-	-	NOUN
ijassa-1186	288	11	dept4	dept4	NOUN
ijassa-1186	288	12	)	)	PUNCT
ijassa-1186	288	13	142	142	NUM
ijassa-1186	288	14	48141	48141	NUM
ijassa-1186	288	15	collegemsg	collegemsg	NOUN
ijassa-1186	288	16	1899	1899	NUM
ijassa-1186	288	17	20296	20296	NUM
ijassa-1186	288	18	messages	message	NOUN
ijassa-1186	288	19	on	on	ADP
ijassa-1186	288	20	a	a	DET
ijassa-1186	288	21	facebook	facebook	NOUN
ijassa-1186	288	22	(	(	PUNCT
ijassa-1186	288	23	colmsg	colmsg	NOUN
ijassa-1186	288	24	)	)	PUNCT
ijassa-1186	288	25	-like	-like	ADJ
ijassa-1186	288	26	platform	platform	NOUN
ijassa-1186	288	27	at	at	ADP
ijassa-1186	288	28	uc	uc	PROPN
ijassa-1186	288	29	-	-	PUNCT
ijassa-1186	288	30	irvine	irvine	PROPN
ijassa-1186	288	31	soc	soc	PROPN
ijassa-1186	288	32	-	-	PUNCT
ijassa-1186	288	33	sign	sign	NOUN
ijassa-1186	288	34	-	-	PUNCT
ijassa-1186	288	35	bitcoin	bitcoin	NOUN
ijassa-1186	288	36	-	-	PUNCT
ijassa-1186	288	37	otc	otc	NOUN
ijassa-1186	288	38	5881	5881	NUM
ijassa-1186	288	39	35592	35592	NUM
ijassa-1186	288	40	bitcoin	bitcoin	PROPN
ijassa-1186	288	41	otc	otc	PROPN
ijassa-1186	288	42	web	web	NOUN
ijassa-1186	288	43	of	of	ADP
ijassa-1186	288	44	(	(	PUNCT
ijassa-1186	288	45	bit	bit	ADV
ijassa-1186	288	46	-	-	PUNCT
ijassa-1186	288	47	otc	otc	ADJ
ijassa-1186	288	48	)	)	PUNCT
ijassa-1186	288	49	trust	trust	NOUN
ijassa-1186	288	50	network	network	NOUN
ijassa-1186	288	51	soc	soc	NOUN
ijassa-1186	288	52	-	-	PUNCT
ijassa-1186	288	53	sign	sign	NOUN
ijassa-1186	288	54	-	-	PUNCT
ijassa-1186	288	55	bitcoin	bitcoin	NOUN
ijassa-1186	288	56	-	-	PUNCT
ijassa-1186	288	57	alpha	alpha	NOUN
ijassa-1186	288	58	3783	3783	NUM
ijassa-1186	288	59	24186	24186	NUM
ijassa-1186	288	60	bitcoin	bitcoin	NOUN
ijassa-1186	288	61	alpha	alpha	NOUN
ijassa-1186	288	62	web	web	NOUN
ijassa-1186	288	63	of	of	ADP
ijassa-1186	288	64	(	(	PUNCT
ijassa-1186	288	65	bit	bit	NOUN
ijassa-1186	288	66	-	-	PUNCT
ijassa-1186	288	67	alpha	alpha	NOUN
ijassa-1186	288	68	)	)	PUNCT
ijassa-1186	288	69	trust	trust	NOUN
ijassa-1186	288	70	network	network	NOUN
ijassa-1186	288	71	table	table	NOUN
ijassa-1186	288	72	5.4	5.4	NUM
ijassa-1186	288	73	.	.	PUNCT
ijassa-1186	288	74	temporal	temporal	ADJ
ijassa-1186	288	75	networks	network	NOUN
ijassa-1186	288	76	from	from	ADP
ijassa-1186	288	77	[	[	X
ijassa-1186	288	78	17	17	NUM
ijassa-1186	288	79	]	]	PUNCT
ijassa-1186	288	80	with	with	ADP
ijassa-1186	288	81	their	their	PRON
ijassa-1186	288	82	description	description	NOUN
ijassa-1186	288	83	.	.	PUNCT
ijassa-1186	289	1	the	the	DET
ijassa-1186	289	2	size	size	NOUN
ijassa-1186	289	3	of	of	ADP
ijassa-1186	289	4	some	some	DET
ijassa-1186	289	5	graphs	graph	NOUN
ijassa-1186	289	6	makes	make	VERB
ijassa-1186	289	7	it	it	PRON
ijassa-1186	289	8	computationally	computationally	ADV
ijassa-1186	289	9	difficult	difficult	ADJ
ijassa-1186	289	10	to	to	PART
ijassa-1186	289	11	model	model	VERB
ijassa-1186	289	12	the	the	DET
ijassa-1186	289	13	information	information	NOUN
ijassa-1186	289	14	spreading	spread	VERB
ijassa-1186	289	15	by	by	ADP
ijassa-1186	289	16	the	the	DET
ijassa-1186	289	17	pa	pa	PROPN
ijassa-1186	289	18	and	and	CCONJ
ijassa-1186	289	19	spread	spread	VERB
ijassa-1186	289	20	directly	directly	ADV
ijassa-1186	289	21	.	.	PUNCT
ijassa-1186	290	1	therefore	therefore	ADV
ijassa-1186	290	2	,	,	PUNCT
ijassa-1186	290	3	we	we	PRON
ijassa-1186	290	4	conducted	conduct	VERB
ijassa-1186	290	5	our	our	PRON
ijassa-1186	290	6	evolutionary	evolutionary	ADJ
ijassa-1186	290	7	simulations	simulation	NOUN
ijassa-1186	290	8	starting	start	VERB
ijassa-1186	290	9	from	from	ADP
ijassa-1186	290	10	a	a	DET
ijassa-1186	290	11	single	single	ADJ
ijassa-1186	290	12	node	node	NOUN
ijassa-1186	290	13	to	to	PART
ijassa-1186	290	14	spread	spread	VERB
ijassa-1186	290	15	one	one	NUM
ijassa-1186	290	16	message	message	NOUN
ijassa-1186	290	17	to	to	ADP
ijassa-1186	290	18	100	100	NUM
ijassa-1186	290	19	new	new	ADJ
ijassa-1186	290	20	nodes	node	NOUN
ijassa-1186	290	21	.	.	PUNCT
ijassa-1186	291	1	for	for	ADP
ijassa-1186	291	2	each	each	DET
ijassa-1186	291	3	real	real	ADJ
ijassa-1186	291	4	graph	graph	NOUN
ijassa-1186	291	5	the	the	DET
ijassa-1186	291	6	parameters	parameter	NOUN
ijassa-1186	291	7	of	of	ADP
ijassa-1186	291	8	the	the	DET
ijassa-1186	291	9	pa	pa	PROPN
ijassa-1186	291	10	model	model	NOUN
ijassa-1186	291	11	are	be	AUX
ijassa-1186	291	12	evaluated	evaluate	VERB
ijassa-1186	291	13	by	by	ADP
ijassa-1186	291	14	means	mean	NOUN
ijassa-1186	291	15	of	of	ADP
ijassa-1186	291	16	the	the	DET
ijassa-1186	291	17	snapshot	snapshot	NOUN
ijassa-1186	291	18	method	method	NOUN
ijassa-1186	291	19	(	(	PUNCT
ijassa-1186	291	20	see	see	VERB
ijassa-1186	291	21	,	,	PUNCT
ijassa-1186	291	22	algorithm	algorithm	NOUN
ijassa-1186	291	23	3	3	NUM
ijassa-1186	291	24	)	)	PUNCT
ijassa-1186	291	25	and	and	CCONJ
ijassa-1186	291	26	denoted	denote	VERB
ijassa-1186	291	27	as	as	ADP
ijassa-1186	291	28	(	(	PUNCT
ijassa-1186	291	29	α̂sn	α̂sn	NOUN
ijassa-1186	291	30	,	,	PUNCT
ijassa-1186	291	31	β̂sn	β̂sn	NOUN
ijassa-1186	291	32	,	,	PUNCT
ijassa-1186	291	33	γ̂sn	γ̂sn	NOUN
ijassa-1186	291	34	,	,	PUNCT
ijassa-1186	291	35	∆̂sn	∆̂sn	NOUN
ijassa-1186	291	36	in	in	ADV
ijassa-1186	291	37	,	,	PUNCT
ijassa-1186	291	38	∆̂	∆̂	PUNCT
ijassa-1186	291	39	sn	sn	PROPN
ijassa-1186	291	40	out	out	ADP
ijassa-1186	291	41	)	)	PUNCT
ijassa-1186	291	42	.	.	PUNCT
ijassa-1186	292	1	the	the	DET
ijassa-1186	292	2	effectiveness	effectiveness	NOUN
ijassa-1186	292	3	of	of	ADP
ijassa-1186	292	4	both	both	CCONJ
ijassa-1186	292	5	the	the	DET
ijassa-1186	292	6	spread	spread	NOUN
ijassa-1186	292	7	and	and	CCONJ
ijassa-1186	292	8	pa	pa	PROPN
ijassa-1186	292	9	algorithms	algorithms	NOUN
ijassa-1186	292	10	is	be	AUX
ijassa-1186	292	11	compared	compare	VERB
ijassa-1186	292	12	for	for	ADP
ijassa-1186	292	13	different	different	ADJ
ijassa-1186	292	14	values	value	NOUN
ijassa-1186	292	15	of	of	ADP
ijassa-1186	292	16	the	the	DET
ijassa-1186	292	17	latter	latter	ADJ
ijassa-1186	292	18	parameters	parameter	NOUN
ijassa-1186	292	19	.	.	PUNCT
ijassa-1186	293	1	the	the	DET
ijassa-1186	293	2	results	result	NOUN
ijassa-1186	293	3	are	be	AUX
ijassa-1186	293	4	presented	present	VERB
ijassa-1186	293	5	in	in	ADP
ijassa-1186	293	6	fig	fig	NOUN
ijassa-1186	293	7	.	.	PUNCT
ijassa-1186	294	1	5.5	5.5	NUM
ijassa-1186	294	2	,	,	PUNCT
ijassa-1186	294	3	left	leave	VERB
ijassa-1186	294	4	,	,	PUNCT
ijassa-1186	294	5	where	where	SCONJ
ijassa-1186	294	6	∆̂sn	∆̂sn	NOUN
ijassa-1186	294	7	in	in	ADP
ijassa-1186	294	8	and	and	CCONJ
ijassa-1186	294	9	∆̂sn	∆̂sn	NOUN
ijassa-1186	294	10	out	out	ADV
ijassa-1186	294	11	are	be	AUX
ijassa-1186	294	12	found	find	VERB
ijassa-1186	294	13	to	to	PART
ijassa-1186	294	14	be	be	AUX
ijassa-1186	294	15	close	close	ADJ
ijassa-1186	294	16	to	to	ADP
ijassa-1186	294	17	1	1	NUM
ijassa-1186	294	18	for	for	ADP
ijassa-1186	294	19	all	all	DET
ijassa-1186	294	20	graphs	graph	NOUN
ijassa-1186	294	21	.	.	PUNCT
ijassa-1186	295	1	moreover	moreover	ADV
ijassa-1186	295	2	,	,	PUNCT
ijassa-1186	295	3	we	we	PRON
ijassa-1186	295	4	estimate	estimate	VERB
ijassa-1186	295	5	the	the	DET
ijassa-1186	295	6	tis	tis	PROPN
ijassa-1186	295	7	of	of	ADP
ijassa-1186	295	8	the	the	DET
ijassa-1186	295	9	inand	inand	ADJ
ijassa-1186	295	10	out	out	ADJ
ijassa-1186	295	11	-	-	PUNCT
ijassa-1186	295	12	degrees	degree	NOUN
ijassa-1186	295	13	of	of	ADP
ijassa-1186	295	14	nodes	node	NOUN
ijassa-1186	295	15	of	of	ADP
ijassa-1186	295	16	all	all	DET
ijassa-1186	295	17	real	real	ADJ
ijassa-1186	295	18	graphs	graph	NOUN
ijassa-1186	295	19	which	which	PRON
ijassa-1186	295	20	are	be	AUX
ijassa-1186	295	21	presented	present	VERB
ijassa-1186	295	22	in	in	ADP
ijassa-1186	295	23	fig	fig	NOUN
ijassa-1186	295	24	.	.	PUNCT
ijassa-1186	296	1	5.5	5.5	NUM
ijassa-1186	296	2	,	,	PUNCT
ijassa-1186	296	3	right	right	ADJ
ijassa-1186	296	4	.	.	PUNCT
ijassa-1186	297	1	fig	fig	NOUN
ijassa-1186	297	2	.	.	PUNCT
ijassa-1186	298	1	5.5	5.5	NUM
ijassa-1186	298	2	.	.	PUNCT
ijassa-1186	299	1	the	the	DET
ijassa-1186	299	2	minimum	minimum	NOUN
ijassa-1186	299	3	log(k∗	log(k∗	PROPN
ijassa-1186	299	4	pa	pa	PROPN
ijassa-1186	299	5	/	/	SYM
ijassa-1186	299	6	k	k	PROPN
ijassa-1186	299	7	∗	∗	NOUN
ijassa-1186	299	8	spread	spread	NOUN
ijassa-1186	299	9	)	)	PUNCT
ijassa-1186	299	10	for	for	ADP
ijassa-1186	299	11	each	each	DET
ijassa-1186	299	12	graph	graph	NOUN
ijassa-1186	299	13	achieved	achieve	VERB
ijassa-1186	299	14	for	for	ADP
ijassa-1186	299	15	the	the	DET
ijassa-1186	299	16	snapshot	snapshot	ADJ
ijassa-1186	299	17	estimates	estimate	NOUN
ijassa-1186	299	18	β̂sn	β̂sn	NOUN
ijassa-1186	299	19	and	and	CCONJ
ijassa-1186	299	20	γ̂sn	γ̂sn	NOUN
ijassa-1186	299	21	of	of	ADP
ijassa-1186	299	22	the	the	DET
ijassa-1186	299	23	pa	pa	PROPN
ijassa-1186	299	24	parameters	parameter	NOUN
ijassa-1186	299	25	,	,	PUNCT
ijassa-1186	299	26	where	where	SCONJ
ijassa-1186	299	27	the	the	DET
ijassa-1186	299	28	red	red	ADJ
ijassa-1186	299	29	line	line	NOUN
ijassa-1186	299	30	indicates	indicate	VERB
ijassa-1186	299	31	the	the	DET
ijassa-1186	299	32	case	case	NOUN
ijassa-1186	299	33	k∗	k∗	NOUN
ijassa-1186	299	34	pa	pa	PROPN
ijassa-1186	299	35	=	=	PROPN
ijassa-1186	299	36	k∗	k∗	PROPN
ijassa-1186	299	37	spread	spread	NOUN
ijassa-1186	299	38	,	,	PUNCT
ijassa-1186	299	39	the	the	DET
ijassa-1186	299	40	area	area	NOUN
ijassa-1186	299	41	to	to	ADP
ijassa-1186	299	42	the	the	DET
ijassa-1186	299	43	left	left	NOUN
ijassa-1186	299	44	of	of	ADP
ijassa-1186	299	45	the	the	DET
ijassa-1186	299	46	line	line	NOUN
ijassa-1186	299	47	corresponds	correspond	VERB
ijassa-1186	299	48	to	to	PART
ijassa-1186	299	49	k∗	k∗	VERB
ijassa-1186	299	50	pa	pa	PROPN
ijassa-1186	299	51	>	>	X
ijassa-1186	299	52	k∗	k∗	PROPN
ijassa-1186	299	53	spread	spread	NOUN
ijassa-1186	299	54	,	,	PUNCT
ijassa-1186	299	55	and	and	CCONJ
ijassa-1186	299	56	to	to	ADP
ijassa-1186	299	57	the	the	DET
ijassa-1186	299	58	right	right	NOUN
ijassa-1186	299	59	of	of	ADP
ijassa-1186	299	60	the	the	DET
ijassa-1186	299	61	line	line	NOUN
ijassa-1186	299	62	to	to	PART
ijassa-1186	299	63	k∗	k∗	VERB
ijassa-1186	299	64	pa	pa	PROPN
ijassa-1186	299	65	<	<	X
ijassa-1186	299	66	k∗	k∗	PROPN
ijassa-1186	299	67	spread	spread	NOUN
ijassa-1186	299	68	,	,	PUNCT
ijassa-1186	299	69	the	the	DET
ijassa-1186	299	70	condition	condition	NOUN
ijassa-1186	299	71	α̂sn	α̂sn	VERB
ijassa-1186	299	72	+	+	CCONJ
ijassa-1186	299	73	β̂sn	β̂sn	NOUN
ijassa-1186	299	74	+	+	CCONJ
ijassa-1186	299	75	γ̂sn	γ̂sn	NOUN
ijassa-1186	299	76	=	=	SYM
ijassa-1186	299	77	1	1	NUM
ijassa-1186	299	78	is	be	AUX
ijassa-1186	299	79	fulfilled	fulfil	VERB
ijassa-1186	299	80	for	for	ADP
ijassa-1186	299	81	the	the	DET
ijassa-1186	299	82	area	area	NOUN
ijassa-1186	299	83	to	to	ADP
ijassa-1186	299	84	the	the	DET
ijassa-1186	299	85	left	left	NOUN
ijassa-1186	299	86	of	of	ADP
ijassa-1186	299	87	the	the	DET
ijassa-1186	299	88	dotted	dotted	ADJ
ijassa-1186	299	89	line	line	NOUN
ijassa-1186	299	90	(	(	PUNCT
ijassa-1186	299	91	left	left	ADV
ijassa-1186	299	92	)	)	PUNCT
ijassa-1186	299	93	;	;	PUNCT
ijassa-1186	299	94	the	the	DET
ijassa-1186	299	95	tis	tis	PROPN
ijassa-1186	299	96	of	of	ADP
ijassa-1186	299	97	the	the	DET
ijassa-1186	299	98	in	in	ADP
ijassa-1186	299	99	-	-	PUNCT
ijassa-1186	299	100	degrees	degree	NOUN
ijassa-1186	299	101	α̂in	α̂in	ADJ
ijassa-1186	299	102	and	and	CCONJ
ijassa-1186	299	103	out	out	ADJ
ijassa-1186	299	104	-	-	PUNCT
ijassa-1186	299	105	degrees	degree	NOUN
ijassa-1186	299	106	α̂out	α̂out	NOUN
ijassa-1186	299	107	for	for	ADP
ijassa-1186	299	108	the	the	DET
ijassa-1186	299	109	real	real	ADJ
ijassa-1186	299	110	networks	network	NOUN
ijassa-1186	299	111	(	(	PUNCT
ijassa-1186	299	112	right	right	NOUN
ijassa-1186	299	113	)	)	PUNCT
ijassa-1186	299	114	.	.	PUNCT
ijassa-1186	300	1	for	for	ADP
ijassa-1186	300	2	most	most	ADJ
ijassa-1186	300	3	of	of	ADP
ijassa-1186	300	4	the	the	DET
ijassa-1186	300	5	investigated	investigate	VERB
ijassa-1186	300	6	graphs	graph	NOUN
ijassa-1186	300	7	the	the	DET
ijassa-1186	300	8	pa	pa	PROPN
ijassa-1186	300	9	delivers	deliver	VERB
ijassa-1186	300	10	messages	message	NOUN
ijassa-1186	300	11	faster	fast	ADV
ijassa-1186	300	12	,	,	PUNCT
ijassa-1186	300	13	with	with	ADP
ijassa-1186	300	14	the	the	DET
ijassa-1186	300	15	exception	exception	NOUN
ijassa-1186	300	16	of	of	ADP
ijassa-1186	300	17	the	the	DET
ijassa-1186	300	18	bitcoin	bitcoin	ADJ
ijassa-1186	300	19	graphs	graph	NOUN
ijassa-1186	300	20	(	(	PUNCT
ijassa-1186	300	21	soc	soc	NOUN
ijassa-1186	300	22	-	-	PUNCT
ijassa-1186	300	23	sign	sign	NOUN
ijassa-1186	300	24	-	-	PUNCT
ijassa-1186	300	25	bitcoin	bitcoin	NOUN
ijassa-1186	300	26	-	-	PUNCT
ijassa-1186	300	27	otc	otc	PROPN
ijassa-1186	300	28	and	and	CCONJ
ijassa-1186	300	29	soc	soc	NOUN
ijassa-1186	300	30	-	-	PUNCT
ijassa-1186	300	31	sign	sign	NOUN
ijassa-1186	300	32	-	-	PUNCT
ijassa-1186	300	33	bitcoin	bitcoin	NOUN
ijassa-1186	300	34	-	-	PUNCT
ijassa-1186	300	35	alpha	alpha	NOUN
ijassa-1186	300	36	)	)	PUNCT
ijassa-1186	300	37	.	.	PUNCT
ijassa-1186	301	1	the	the	DET
ijassa-1186	301	2	tis	tis	PROPN
ijassa-1186	301	3	of	of	ADP
ijassa-1186	301	4	the	the	DET
ijassa-1186	301	5	in	in	ADP
ijassa-1186	301	6	-	-	PUNCT
ijassa-1186	301	7	degrees	degree	NOUN
ijassa-1186	301	8	copyright	copyright	NOUN
ijassa-1186	301	9	©	©	ADP
ijassa-1186	301	10	2022	2022	NUM
ijassa-1186	301	11	assa	assa	NOUN
ijassa-1186	301	12	.	.	PUNCT
ijassa-1186	302	1	adv	adv	PROPN
ijassa-1186	302	2	syst	syst	PROPN
ijassa-1186	302	3	sci	sci	PROPN
ijassa-1186	302	4	appl	appl	PROPN
ijassa-1186	302	5	(	(	PUNCT
ijassa-1186	302	6	2022	2022	NUM
ijassa-1186	302	7	)	)	PUNCT
ijassa-1186	302	8	32	32	NUM
ijassa-1186	302	9	n.	n.	NOUN
ijassa-1186	302	10	m.	m.	NOUN
ijassa-1186	302	11	markovich	markovich	PROPN
ijassa-1186	302	12	,	,	PUNCT
ijassa-1186	302	13	m.	m.	PROPN
ijassa-1186	302	14	s.	s.	PROPN
ijassa-1186	302	15	ryzhov	ryzhov	PROPN
ijassa-1186	302	16	of	of	ADP
ijassa-1186	302	17	the	the	DET
ijassa-1186	302	18	latter	latter	ADJ
ijassa-1186	302	19	graphs	graph	NOUN
ijassa-1186	302	20	are	be	AUX
ijassa-1186	302	21	less	less	ADJ
ijassa-1186	302	22	than	than	ADP
ijassa-1186	302	23	1	1	NUM
ijassa-1186	302	24	,	,	PUNCT
ijassa-1186	302	25	α̂in	α̂in	X
ijassa-1186	302	26	<	<	X
ijassa-1186	302	27	1	1	NUM
ijassa-1186	302	28	.	.	PUNCT
ijassa-1186	303	1	this	this	PRON
ijassa-1186	303	2	implies	imply	VERB
ijassa-1186	303	3	that	that	SCONJ
ijassa-1186	303	4	their	their	PRON
ijassa-1186	303	5	in	in	NOUN
ijassa-1186	303	6	-	-	PUNCT
ijassa-1186	303	7	degrees	degree	NOUN
ijassa-1186	303	8	have	have	VERB
ijassa-1186	303	9	an	an	DET
ijassa-1186	303	10	infinite	infinite	ADJ
ijassa-1186	303	11	variance	variance	NOUN
ijassa-1186	303	12	according	accord	VERB
ijassa-1186	303	13	to	to	ADP
ijassa-1186	303	14	the	the	DET
ijassa-1186	303	15	properties	property	NOUN
ijassa-1186	303	16	of	of	ADP
ijassa-1186	303	17	the	the	DET
ijassa-1186	303	18	power	power	NOUN
ijassa-1186	303	19	law	law	NOUN
ijassa-1186	303	20	distribution	distribution	NOUN
ijassa-1186	303	21	.	.	PUNCT
ijassa-1186	304	1	the	the	DET
ijassa-1186	304	2	pageranks	pagerank	NOUN
ijassa-1186	304	3	may	may	AUX
ijassa-1186	304	4	have	have	VERB
ijassa-1186	304	5	an	an	DET
ijassa-1186	304	6	even	even	ADV
ijassa-1186	304	7	smaller	small	ADJ
ijassa-1186	304	8	ti	ti	NOUN
ijassa-1186	304	9	due	due	ADP
ijassa-1186	304	10	to	to	ADP
ijassa-1186	304	11	[	[	PUNCT
ijassa-1186	304	12	13	13	NUM
ijassa-1186	304	13	]	]	PUNCT
ijassa-1186	304	14	.	.	PUNCT
ijassa-1186	305	1	such	such	ADJ
ijassa-1186	305	2	likely	likely	ADJ
ijassa-1186	305	3	large	large	ADJ
ijassa-1186	305	4	in	in	ADP
ijassa-1186	305	5	-	-	PUNCT
ijassa-1186	305	6	degrees	degree	NOUN
ijassa-1186	305	7	appear	appear	VERB
ijassa-1186	305	8	in	in	ADP
ijassa-1186	305	9	the	the	DET
ijassa-1186	305	10	bitcoin	bitcoin	ADJ
ijassa-1186	305	11	graphs	graph	NOUN
ijassa-1186	305	12	due	due	ADP
ijassa-1186	305	13	to	to	ADP
ijassa-1186	305	14	the	the	DET
ijassa-1186	305	15	dominating	dominating	NOUN
ijassa-1186	305	16	effect	effect	NOUN
ijassa-1186	305	17	of	of	ADP
ijassa-1186	305	18	the	the	DET
ijassa-1186	305	19	α−	α−	PROPN
ijassa-1186	305	20	scheme	scheme	NOUN
ijassa-1186	305	21	.	.	PUNCT
ijassa-1186	306	1	that	that	PRON
ijassa-1186	306	2	is	be	AUX
ijassa-1186	306	3	a	a	DET
ijassa-1186	306	4	consequence	consequence	NOUN
ijassa-1186	306	5	of	of	ADP
ijassa-1186	306	6	the	the	DET
ijassa-1186	306	7	small	small	ADJ
ijassa-1186	306	8	values	value	NOUN
ijassa-1186	306	9	of	of	ADP
ijassa-1186	306	10	β	β	PROPN
ijassa-1186	306	11	and	and	CCONJ
ijassa-1186	306	12	γ	γ	NOUN
ijassa-1186	306	13	for	for	ADP
ijassa-1186	306	14	these	these	DET
ijassa-1186	306	15	graphs	graph	NOUN
ijassa-1186	306	16	,	,	PUNCT
ijassa-1186	306	17	see	see	VERB
ijassa-1186	306	18	fig	fig	NOUN
ijassa-1186	306	19	.	.	PUNCT
ijassa-1186	307	1	5.5	5.5	NUM
ijassa-1186	307	2	,	,	PUNCT
ijassa-1186	307	3	left	leave	VERB
ijassa-1186	307	4	.	.	PUNCT
ijassa-1186	308	1	since	since	SCONJ
ijassa-1186	308	2	the	the	DET
ijassa-1186	308	3	α−	α−	PROPN
ijassa-1186	308	4	scheme	scheme	NOUN
ijassa-1186	308	5	creates	create	VERB
ijassa-1186	308	6	a	a	DET
ijassa-1186	308	7	new	new	ADJ
ijassa-1186	308	8	edge	edge	NOUN
ijassa-1186	308	9	directed	direct	VERB
ijassa-1186	308	10	from	from	ADP
ijassa-1186	308	11	the	the	DET
ijassa-1186	308	12	newly	newly	ADV
ijassa-1186	308	13	appending	append	VERB
ijassa-1186	308	14	node	node	NOUN
ijassa-1186	308	15	to	to	ADP
ijassa-1186	308	16	a	a	DET
ijassa-1186	308	17	node	node	NOUN
ijassa-1186	308	18	existed	exist	VERB
ijassa-1186	308	19	before	before	ADV
ijassa-1186	308	20	,	,	PUNCT
ijassa-1186	308	21	it	it	PRON
ijassa-1186	308	22	can	can	AUX
ijassa-1186	308	23	not	not	PART
ijassa-1186	308	24	increase	increase	VERB
ijassa-1186	308	25	the	the	DET
ijassa-1186	308	26	number	number	NOUN
ijassa-1186	308	27	of	of	ADP
ijassa-1186	308	28	nodes	node	NOUN
ijassa-1186	308	29	receiving	receive	VERB
ijassa-1186	308	30	the	the	DET
ijassa-1186	308	31	message	message	NOUN
ijassa-1186	308	32	at	at	ADP
ijassa-1186	308	33	the	the	DET
ijassa-1186	308	34	evolution	evolution	NOUN
ijassa-1186	308	35	step	step	NOUN
ijassa-1186	308	36	.	.	PUNCT
ijassa-1186	309	1	this	this	PRON
ijassa-1186	309	2	shows	show	VERB
ijassa-1186	309	3	the	the	DET
ijassa-1186	309	4	impact	impact	NOUN
ijassa-1186	309	5	of	of	ADP
ijassa-1186	309	6	the	the	DET
ijassa-1186	309	7	heaviness	heaviness	NOUN
ijassa-1186	309	8	of	of	ADP
ijassa-1186	309	9	tail	tail	NOUN
ijassa-1186	309	10	of	of	ADP
ijassa-1186	309	11	the	the	DET
ijassa-1186	309	12	node	node	ADJ
ijassa-1186	309	13	influence	influence	NOUN
ijassa-1186	309	14	indices	indice	VERB
ijassa-1186	309	15	on	on	ADP
ijassa-1186	309	16	the	the	DET
ijassa-1186	309	17	spreading	spread	VERB
ijassa-1186	309	18	rate	rate	NOUN
ijassa-1186	309	19	.	.	PUNCT
ijassa-1186	310	1	6	6	X
ijassa-1186	310	2	.	.	X
ijassa-1186	310	3	conclusions	conclusion	NOUN
ijassa-1186	310	4	the	the	DET
ijassa-1186	310	5	novelties	novelty	NOUN
ijassa-1186	310	6	of	of	ADP
ijassa-1186	310	7	this	this	DET
ijassa-1186	310	8	paper	paper	NOUN
ijassa-1186	310	9	are	be	AUX
ijassa-1186	310	10	that	that	SCONJ
ijassa-1186	310	11	the	the	DET
ijassa-1186	310	12	linear	linear	ADJ
ijassa-1186	310	13	pa	pa	PROPN
ijassa-1186	310	14	schemes	scheme	NOUN
ijassa-1186	310	15	are	be	AUX
ijassa-1186	310	16	applied	apply	VERB
ijassa-1186	310	17	for	for	ADP
ijassa-1186	310	18	the	the	DET
ijassa-1186	310	19	information	information	NOUN
ijassa-1186	310	20	spreading	spread	VERB
ijassa-1186	310	21	purpose	purpose	NOUN
ijassa-1186	310	22	,	,	PUNCT
ijassa-1186	310	23	the	the	DET
ijassa-1186	310	24	spread	spread	ADJ
ijassa-1186	310	25	algorithm	algorithm	NOUN
ijassa-1186	310	26	is	be	AUX
ijassa-1186	310	27	reconsidered	reconsider	VERB
ijassa-1186	310	28	for	for	ADP
ijassa-1186	310	29	directed	direct	VERB
ijassa-1186	310	30	graphs	graph	NOUN
ijassa-1186	310	31	and	and	CCONJ
ijassa-1186	310	32	both	both	CCONJ
ijassa-1186	310	33	the	the	DET
ijassa-1186	310	34	pa	pa	PROPN
ijassa-1186	310	35	and	and	CCONJ
ijassa-1186	310	36	the	the	DET
ijassa-1186	310	37	spread	spread	NOUN
ijassa-1186	310	38	are	be	AUX
ijassa-1186	310	39	applied	apply	VERB
ijassa-1186	310	40	to	to	ADP
ijassa-1186	310	41	non	non	ADJ
ijassa-1186	310	42	-	-	ADJ
ijassa-1186	310	43	homogeneous	homogeneous	ADJ
ijassa-1186	310	44	graphs	graph	NOUN
ijassa-1186	310	45	.	.	PUNCT
ijassa-1186	311	1	a	a	DET
ijassa-1186	311	2	message	message	NOUN
ijassa-1186	311	3	from	from	ADP
ijassa-1186	311	4	one	one	NUM
ijassa-1186	311	5	node	node	NOUN
ijassa-1186	311	6	is	be	AUX
ijassa-1186	311	7	spreading	spread	VERB
ijassa-1186	311	8	to	to	ADP
ijassa-1186	311	9	a	a	DET
ijassa-1186	311	10	fixed	fix	VERB
ijassa-1186	311	11	number	number	NOUN
ijassa-1186	311	12	of	of	ADP
ijassa-1186	311	13	nodes	node	NOUN
ijassa-1186	311	14	in	in	ADP
ijassa-1186	311	15	the	the	DET
ijassa-1186	311	16	network	network	NOUN
ijassa-1186	311	17	.	.	PUNCT
ijassa-1186	312	1	the	the	DET
ijassa-1186	312	2	information	information	NOUN
ijassa-1186	312	3	spreading	spread	VERB
ijassa-1186	312	4	is	be	AUX
ijassa-1186	312	5	investigated	investigate	VERB
ijassa-1186	312	6	both	both	PRON
ijassa-1186	312	7	for	for	ADP
ijassa-1186	312	8	simulated	simulated	ADJ
ijassa-1186	312	9	(	(	PUNCT
ijassa-1186	312	10	section	section	NOUN
ijassa-1186	312	11	3	3	NUM
ijassa-1186	312	12	)	)	PUNCT
ijassa-1186	312	13	and	and	CCONJ
ijassa-1186	312	14	real	real	ADJ
ijassa-1186	312	15	(	(	PUNCT
ijassa-1186	312	16	section	section	NOUN
ijassa-1186	312	17	4	4	NUM
ijassa-1186	312	18	)	)	PUNCT
ijassa-1186	312	19	non	non	ADJ
ijassa-1186	312	20	-	-	ADJ
ijassa-1186	312	21	homogeneous	homogeneous	ADJ
ijassa-1186	312	22	graphs	graph	NOUN
ijassa-1186	312	23	.	.	PUNCT
ijassa-1186	313	1	the	the	DET
ijassa-1186	313	2	nodes	node	NOUN
ijassa-1186	313	3	in	in	ADP
ijassa-1186	313	4	the	the	DET
ijassa-1186	313	5	latter	latter	ADJ
ijassa-1186	313	6	graphs	graph	NOUN
ijassa-1186	313	7	may	may	AUX
ijassa-1186	313	8	have	have	VERB
ijassa-1186	313	9	different	different	ADJ
ijassa-1186	313	10	distributions	distribution	NOUN
ijassa-1186	313	11	of	of	ADP
ijassa-1186	313	12	their	their	PRON
ijassa-1186	313	13	inand	inand	ADJ
ijassa-1186	313	14	out	out	ADJ
ijassa-1186	313	15	-	-	PUNCT
ijassa-1186	313	16	degrees	degree	NOUN
ijassa-1186	313	17	.	.	PUNCT
ijassa-1186	314	1	we	we	PRON
ijassa-1186	314	2	compare	compare	VERB
ijassa-1186	314	3	the	the	DET
ijassa-1186	314	4	pa	pa	PROPN
ijassa-1186	314	5	and	and	CCONJ
ijassa-1186	314	6	the	the	DET
ijassa-1186	314	7	spread	spread	ADJ
ijassa-1186	314	8	algorithm	algorithm	NOUN
ijassa-1186	314	9	on	on	ADP
ijassa-1186	314	10	directed	direct	VERB
ijassa-1186	314	11	graphs	graph	NOUN
ijassa-1186	314	12	,	,	PUNCT
ijassa-1186	314	13	which	which	PRON
ijassa-1186	314	14	may	may	AUX
ijassa-1186	314	15	contain	contain	VERB
ijassa-1186	314	16	cycles	cycle	NOUN
ijassa-1186	314	17	and	and	CCONJ
ijassa-1186	314	18	multiple	multiple	ADJ
ijassa-1186	314	19	edges	edge	NOUN
ijassa-1186	314	20	generated	generate	VERB
ijassa-1186	314	21	by	by	ADP
ijassa-1186	314	22	the	the	DET
ijassa-1186	314	23	pa	pa	PROPN
ijassa-1186	314	24	with	with	ADP
ijassa-1186	314	25	different	different	ADJ
ijassa-1186	314	26	sets	set	NOUN
ijassa-1186	314	27	of	of	ADP
ijassa-1186	314	28	parameters	parameter	NOUN
ijassa-1186	314	29	.	.	PUNCT
ijassa-1186	315	1	considering	consider	VERB
ijassa-1186	315	2	the	the	DET
ijassa-1186	315	3	simulated	simulate	VERB
ijassa-1186	315	4	graphs	graph	NOUN
ijassa-1186	315	5	which	which	PRON
ijassa-1186	315	6	are	be	AUX
ijassa-1186	315	7	assumed	assume	VERB
ijassa-1186	315	8	to	to	PART
ijassa-1186	315	9	be	be	AUX
ijassa-1186	315	10	homogeneous	homogeneous	ADJ
ijassa-1186	315	11	,	,	PUNCT
ijassa-1186	315	12	one	one	PRON
ijassa-1186	315	13	may	may	AUX
ijassa-1186	315	14	conclude	conclude	VERB
ijassa-1186	315	15	that	that	SCONJ
ijassa-1186	315	16	the	the	DET
ijassa-1186	315	17	pa	pa	PROPN
ijassa-1186	315	18	may	may	AUX
ijassa-1186	315	19	be	be	AUX
ijassa-1186	315	20	the	the	DET
ijassa-1186	315	21	better	well	ADJ
ijassa-1186	315	22	spreader	spreader	NOUN
ijassa-1186	315	23	than	than	ADP
ijassa-1186	315	24	the	the	DET
ijassa-1186	315	25	spread	spread	ADJ
ijassa-1186	315	26	algorithm	algorithm	NOUN
ijassa-1186	315	27	for	for	ADP
ijassa-1186	315	28	such	such	ADJ
ijassa-1186	315	29	sets	set	NOUN
ijassa-1186	315	30	of	of	ADP
ijassa-1186	315	31	its	its	PRON
ijassa-1186	315	32	parameters	parameter	NOUN
ijassa-1186	315	33	(	(	PUNCT
ijassa-1186	315	34	α	α	X
ijassa-1186	315	35	,	,	PUNCT
ijassa-1186	315	36	β	β	X
ijassa-1186	315	37	,	,	PUNCT
ijassa-1186	315	38	γ	γ	NOUN
ijassa-1186	315	39	)	)	PUNCT
ijassa-1186	315	40	where	where	SCONJ
ijassa-1186	315	41	α	α	NOUN
ijassa-1186	315	42	is	be	AUX
ijassa-1186	315	43	sufficiently	sufficiently	ADV
ijassa-1186	315	44	small	small	ADJ
ijassa-1186	315	45	.	.	PUNCT
ijassa-1186	316	1	the	the	DET
ijassa-1186	316	2	rest	rest	NOUN
ijassa-1186	316	3	of	of	ADP
ijassa-1186	316	4	the	the	DET
ijassa-1186	316	5	parameters	parameter	NOUN
ijassa-1186	316	6	(	(	PUNCT
ijassa-1186	316	7	∆in,∆out	∆in,∆out	NOUN
ijassa-1186	316	8	)	)	PUNCT
ijassa-1186	316	9	were	be	AUX
ijassa-1186	316	10	taken	take	VERB
ijassa-1186	316	11	equal	equal	ADJ
ijassa-1186	316	12	to	to	ADP
ijassa-1186	316	13	1	1	NUM
ijassa-1186	316	14	.	.	PUNCT
ijassa-1186	317	1	regarding	regard	VERB
ijassa-1186	317	2	the	the	DET
ijassa-1186	317	3	real	real	ADJ
ijassa-1186	317	4	non	non	ADJ
ijassa-1186	317	5	-	-	ADJ
ijassa-1186	317	6	homogeneous	homogeneous	ADJ
ijassa-1186	317	7	graphs	graph	NOUN
ijassa-1186	317	8	consisting	consist	VERB
ijassa-1186	317	9	of	of	ADP
ijassa-1186	317	10	the	the	DET
ijassa-1186	317	11	interconnected	interconnected	ADJ
ijassa-1186	317	12	communities	community	NOUN
ijassa-1186	317	13	of	of	ADP
ijassa-1186	317	14	nodes	node	NOUN
ijassa-1186	317	15	with	with	ADP
ijassa-1186	317	16	different	different	ADJ
ijassa-1186	317	17	tail	tail	NOUN
ijassa-1186	317	18	indices	index	NOUN
ijassa-1186	317	19	of	of	ADP
ijassa-1186	317	20	the	the	DET
ijassa-1186	317	21	inand	inand	ADJ
ijassa-1186	317	22	out	out	ADJ
ijassa-1186	317	23	-	-	PUNCT
ijassa-1186	317	24	degrees	degree	NOUN
ijassa-1186	317	25	and	and	CCONJ
ijassa-1186	317	26	pageranks	pagerank	NOUN
ijassa-1186	317	27	,	,	PUNCT
ijassa-1186	317	28	we	we	PRON
ijassa-1186	317	29	found	find	VERB
ijassa-1186	317	30	that	that	SCONJ
ijassa-1186	317	31	some	some	DET
ijassa-1186	317	32	nodes	node	NOUN
ijassa-1186	317	33	in	in	ADP
ijassa-1186	317	34	the	the	DET
ijassa-1186	317	35	community	community	NOUN
ijassa-1186	317	36	with	with	ADP
ijassa-1186	317	37	the	the	DET
ijassa-1186	317	38	smallest	small	ADJ
ijassa-1186	317	39	tail	tail	NOUN
ijassa-1186	317	40	index	index	NOUN
ijassa-1186	317	41	of	of	ADP
ijassa-1186	317	42	the	the	DET
ijassa-1186	317	43	out	out	ADJ
ijassa-1186	317	44	-	-	PUNCT
ijassa-1186	317	45	degrees	degree	NOUN
ijassa-1186	317	46	and	and	CCONJ
ijassa-1186	317	47	pageranks	pagerank	NOUN
ijassa-1186	317	48	may	may	AUX
ijassa-1186	317	49	spread	spread	VERB
ijassa-1186	317	50	the	the	DET
ijassa-1186	317	51	message	message	NOUN
ijassa-1186	317	52	faster	fast	ADV
ijassa-1186	317	53	than	than	ADP
ijassa-1186	317	54	other	other	ADJ
ijassa-1186	317	55	nodes	node	NOUN
ijassa-1186	317	56	.	.	PUNCT
ijassa-1186	318	1	we	we	PRON
ijassa-1186	318	2	have	have	AUX
ijassa-1186	318	3	classified	classify	VERB
ijassa-1186	318	4	the	the	DET
ijassa-1186	318	5	real	real	ADJ
ijassa-1186	318	6	temporal	temporal	ADJ
ijassa-1186	318	7	graphs	graph	NOUN
ijassa-1186	318	8	in	in	ADP
ijassa-1186	318	9	section	section	NOUN
ijassa-1186	318	10	5	5	NUM
ijassa-1186	318	11	by	by	ADP
ijassa-1186	318	12	the	the	DET
ijassa-1186	318	13	number	number	NOUN
ijassa-1186	318	14	of	of	ADP
ijassa-1186	318	15	steps	step	NOUN
ijassa-1186	318	16	required	require	VERB
ijassa-1186	318	17	to	to	PART
ijassa-1186	318	18	disseminate	disseminate	VERB
ijassa-1186	318	19	a	a	DET
ijassa-1186	318	20	message	message	NOUN
ijassa-1186	318	21	from	from	ADP
ijassa-1186	318	22	one	one	NUM
ijassa-1186	318	23	node	node	NOUN
ijassa-1186	318	24	to	to	ADP
ijassa-1186	318	25	a	a	DET
ijassa-1186	318	26	fixed	fix	VERB
ijassa-1186	318	27	number	number	NOUN
ijassa-1186	318	28	of	of	ADP
ijassa-1186	318	29	nodes	node	NOUN
ijassa-1186	318	30	.	.	PUNCT
ijassa-1186	319	1	it	it	PRON
ijassa-1186	319	2	was	be	AUX
ijassa-1186	319	3	found	find	VERB
ijassa-1186	319	4	that	that	SCONJ
ijassa-1186	319	5	the	the	DET
ijassa-1186	319	6	pa	pa	PROPN
ijassa-1186	319	7	is	be	AUX
ijassa-1186	319	8	a	a	DET
ijassa-1186	319	9	better	well	ADJ
ijassa-1186	319	10	spreader	spreader	NOUN
ijassa-1186	319	11	than	than	ADP
ijassa-1186	319	12	the	the	DET
ijassa-1186	319	13	spread	spread	ADJ
ijassa-1186	319	14	tool	tool	NOUN
ijassa-1186	319	15	for	for	ADP
ijassa-1186	319	16	most	most	ADJ
ijassa-1186	319	17	of	of	ADP
ijassa-1186	319	18	the	the	DET
ijassa-1186	319	19	considered	consider	VERB
ijassa-1186	319	20	graphs	graph	NOUN
ijassa-1186	319	21	for	for	ADP
ijassa-1186	319	22	which	which	PRON
ijassa-1186	319	23	the	the	DET
ijassa-1186	319	24	pa	pa	PROPN
ijassa-1186	319	25	α	α	PROPN
ijassa-1186	319	26	-	-	PUNCT
ijassa-1186	319	27	scheme	scheme	NOUN
ijassa-1186	319	28	is	be	AUX
ijassa-1186	319	29	not	not	PART
ijassa-1186	319	30	significant	significant	ADJ
ijassa-1186	319	31	.	.	PUNCT
ijassa-1186	320	1	the	the	DET
ijassa-1186	320	2	latter	latter	ADJ
ijassa-1186	320	3	conclusion	conclusion	NOUN
ijassa-1186	320	4	is	be	AUX
ijassa-1186	320	5	plausible	plausible	ADJ
ijassa-1186	320	6	since	since	SCONJ
ijassa-1186	320	7	the	the	DET
ijassa-1186	320	8	α	α	NOUN
ijassa-1186	320	9	-	-	PUNCT
ijassa-1186	320	10	scheme	scheme	NOUN
ijassa-1186	320	11	creates	create	VERB
ijassa-1186	320	12	new	new	ADJ
ijassa-1186	320	13	edges	edge	NOUN
ijassa-1186	320	14	directed	direct	VERB
ijassa-1186	320	15	from	from	ADP
ijassa-1186	320	16	the	the	DET
ijassa-1186	320	17	new	new	ADJ
ijassa-1186	320	18	nodes	node	NOUN
ijassa-1186	320	19	to	to	ADP
ijassa-1186	320	20	the	the	DET
ijassa-1186	320	21	existing	exist	VERB
ijassa-1186	320	22	ones	one	NOUN
ijassa-1186	320	23	that	that	PRON
ijassa-1186	320	24	can	can	AUX
ijassa-1186	320	25	not	not	PART
ijassa-1186	320	26	be	be	AUX
ijassa-1186	320	27	useful	useful	ADJ
ijassa-1186	320	28	for	for	ADP
ijassa-1186	320	29	information	information	NOUN
ijassa-1186	320	30	spreading	spread	VERB
ijassa-1186	320	31	.	.	PUNCT
ijassa-1186	321	1	acknowledgements	acknowledgement	NOUN
ijassa-1186	321	2	the	the	DET
ijassa-1186	321	3	reported	report	VERB
ijassa-1186	321	4	study	study	NOUN
ijassa-1186	321	5	was	be	AUX
ijassa-1186	321	6	funded	fund	VERB
ijassa-1186	321	7	by	by	ADP
ijassa-1186	321	8	the	the	DET
ijassa-1186	321	9	russian	russian	PROPN
ijassa-1186	321	10	science	science	PROPN
ijassa-1186	321	11	foundation	foundation	PROPN
ijassa-1186	321	12	rsf	rsf	PROPN
ijassa-1186	321	13	,	,	PUNCT
ijassa-1186	321	14	project	project	NOUN
ijassa-1186	321	15	number	number	NOUN
ijassa-1186	321	16	22	22	NUM
ijassa-1186	321	17	-	-	SYM
ijassa-1186	321	18	21	21	NUM
ijassa-1186	321	19	-	-	PUNCT
ijassa-1186	321	20	00177	00177	NUM
ijassa-1186	321	21	(	(	PUNCT
ijassa-1186	321	22	recipient	recipient	NOUN
ijassa-1186	321	23	n.m	n.m	PROPN
ijassa-1186	321	24	.	.	PROPN
ijassa-1186	321	25	markovich	markovich	PROPN
ijassa-1186	321	26	,	,	PUNCT
ijassa-1186	321	27	conceptualization	conceptualization	NOUN
ijassa-1186	321	28	,	,	PUNCT
ijassa-1186	321	29	methodology	methodology	NOUN
ijassa-1186	321	30	development	development	NOUN
ijassa-1186	321	31	,	,	PUNCT
ijassa-1186	321	32	formal	formal	ADJ
ijassa-1186	321	33	analysis	analysis	NOUN
ijassa-1186	321	34	,	,	PUNCT
ijassa-1186	321	35	writing	writing	NOUN
ijassa-1186	321	36	–	–	PUNCT
ijassa-1186	321	37	original	original	ADJ
ijassa-1186	321	38	draft	draft	NOUN
ijassa-1186	321	39	preparation	preparation	NOUN
ijassa-1186	321	40	;	;	PUNCT
ijassa-1186	321	41	recipient	recipient	PROPN
ijassa-1186	321	42	m.s	m.s	PROPN
ijassa-1186	321	43	.	.	PROPN
ijassa-1186	321	44	ryzhov	ryzhov	PROPN
ijassa-1186	321	45	,	,	PUNCT
ijassa-1186	321	46	software	software	NOUN
ijassa-1186	321	47	,	,	PUNCT
ijassa-1186	321	48	data	datum	NOUN
ijassa-1186	321	49	validation	validation	NOUN
ijassa-1186	321	50	)	)	PUNCT
ijassa-1186	321	51	.	.	PUNCT
ijassa-1186	322	1	references	reference	NOUN
ijassa-1186	322	2	1	1	NUM
ijassa-1186	322	3	.	.	PUNCT
ijassa-1186	323	1	newman	newman	PROPN
ijassa-1186	323	2	,	,	PUNCT
ijassa-1186	323	3	m.	m.	PROPN
ijassa-1186	323	4	e.	e.	PROPN
ijassa-1186	323	5	j.	j.	PROPN
ijassa-1186	323	6	(	(	PUNCT
ijassa-1186	323	7	2018	2018	NUM
ijassa-1186	323	8	)	)	PUNCT
ijassa-1186	323	9	.	.	PUNCT
ijassa-1186	324	1	networks	network	NOUN
ijassa-1186	324	2	:	:	PUNCT
ijassa-1186	324	3	an	an	DET
ijassa-1186	324	4	introduction	introduction	NOUN
ijassa-1186	324	5	.	.	PUNCT
ijassa-1186	325	1	oxford	oxford	PROPN
ijassa-1186	325	2	university	university	PROPN
ijassa-1186	325	3	press	press	NOUN
ijassa-1186	325	4	,	,	PUNCT
ijassa-1186	325	5	second	second	ADJ
ijassa-1186	325	6	edition	edition	NOUN
ijassa-1186	325	7	.	.	PUNCT
ijassa-1186	326	1	2	2	X
ijassa-1186	326	2	.	.	X
ijassa-1186	326	3	avrachenkov	avrachenkov	PROPN
ijassa-1186	326	4	,	,	PUNCT
ijassa-1186	326	5	k.	k.	PROPN
ijassa-1186	326	6	&	&	CCONJ
ijassa-1186	326	7	lebedev	lebedev	PROPN
ijassa-1186	326	8	,	,	PUNCT
ijassa-1186	326	9	d.	d.	PROPN
ijassa-1186	326	10	(	(	PUNCT
ijassa-1186	326	11	2006	2006	NUM
ijassa-1186	326	12	)	)	PUNCT
ijassa-1186	326	13	.	.	PUNCT
ijassa-1186	327	1	pagerank	pagerank	NOUN
ijassa-1186	327	2	of	of	ADP
ijassa-1186	327	3	scale	scale	NOUN
ijassa-1186	327	4	-	-	PUNCT
ijassa-1186	327	5	free	free	ADJ
ijassa-1186	327	6	growing	grow	VERB
ijassa-1186	327	7	networks	network	NOUN
ijassa-1186	327	8	,	,	PUNCT
ijassa-1186	327	9	internet	internet	NOUN
ijassa-1186	327	10	mathematics	mathematic	NOUN
ijassa-1186	327	11	,	,	PUNCT
ijassa-1186	327	12	3(2	3(2	NUM
ijassa-1186	327	13	)	)	PUNCT
ijassa-1186	327	14	,	,	PUNCT
ijassa-1186	327	15	207	207	NUM
ijassa-1186	327	16	-	-	SYM
ijassa-1186	327	17	231	231	NUM
ijassa-1186	327	18	.	.	PUNCT
ijassa-1186	328	1	3	3	X
ijassa-1186	328	2	.	.	X
ijassa-1186	328	3	wan	wan	PROPN
ijassa-1186	328	4	,	,	PUNCT
ijassa-1186	328	5	p.	p.	PROPN
ijassa-1186	328	6	,	,	PUNCT
ijassa-1186	328	7	wang	wang	PROPN
ijassa-1186	328	8	,	,	PUNCT
ijassa-1186	328	9	t.	t.	PROPN
ijassa-1186	328	10	,	,	PUNCT
ijassa-1186	328	11	davis	davis	PROPN
ijassa-1186	328	12	,	,	PUNCT
ijassa-1186	328	13	r.	r.	PROPN
ijassa-1186	328	14	a.	a.	PROPN
ijassa-1186	328	15	&	&	CCONJ
ijassa-1186	328	16	resnick	resnick	PROPN
ijassa-1186	328	17	,	,	PUNCT
ijassa-1186	328	18	s.i	s.i	PROPN
ijassa-1186	328	19	.	.	PROPN
ijassa-1186	328	20	(	(	PUNCT
ijassa-1186	328	21	2020	2020	NUM
ijassa-1186	328	22	)	)	PUNCT
ijassa-1186	328	23	.	.	PUNCT
ijassa-1186	328	24	are	be	AUX
ijassa-1186	328	25	extreme	extreme	ADJ
ijassa-1186	328	26	value	value	NOUN
ijassa-1186	328	27	estimation	estimation	NOUN
ijassa-1186	328	28	methods	method	NOUN
ijassa-1186	328	29	useful	useful	ADJ
ijassa-1186	328	30	for	for	ADP
ijassa-1186	328	31	network	network	NOUN
ijassa-1186	328	32	data	datum	NOUN
ijassa-1186	328	33	?	?	PUNCT
ijassa-1186	329	1	extremes	extreme	NOUN
ijassa-1186	329	2	,	,	PUNCT
ijassa-1186	329	3	23	23	NUM
ijassa-1186	329	4	,	,	PUNCT
ijassa-1186	329	5	171	171	NUM
ijassa-1186	329	6	-	-	SYM
ijassa-1186	329	7	195	195	NUM
ijassa-1186	329	8	.	.	PUNCT
ijassa-1186	330	1	copyright	copyright	NOUN
ijassa-1186	330	2	©	©	ADP
ijassa-1186	330	3	2022	2022	NUM
ijassa-1186	330	4	assa	assa	NOUN
ijassa-1186	330	5	.	.	PUNCT
ijassa-1186	331	1	adv	adv	PROPN
ijassa-1186	331	2	syst	syst	PROPN
ijassa-1186	331	3	sci	sci	PROPN
ijassa-1186	331	4	appl	appl	PROPN
ijassa-1186	331	5	(	(	PUNCT
ijassa-1186	331	6	2022	2022	NUM
ijassa-1186	331	7	)	)	PUNCT
ijassa-1186	331	8	information	information	NOUN
ijassa-1186	331	9	spreading	spread	VERB
ijassa-1186	331	10	and	and	CCONJ
ijassa-1186	331	11	evolution	evolution	NOUN
ijassa-1186	331	12	of	of	ADP
ijassa-1186	331	13	non	non	ADJ
ijassa-1186	331	14	-	-	ADJ
ijassa-1186	331	15	homogeneous	homogeneous	ADJ
ijassa-1186	331	16	networks	network	NOUN
ijassa-1186	331	17	33	33	NUM
ijassa-1186	331	18	4	4	NUM
ijassa-1186	331	19	.	.	PUNCT
ijassa-1186	332	1	mosk	mosk	NOUN
ijassa-1186	332	2	-	-	PUNCT
ijassa-1186	332	3	aoyama	aoyama	PROPN
ijassa-1186	332	4	,	,	PUNCT
ijassa-1186	332	5	d.	d.	PROPN
ijassa-1186	332	6	&	&	CCONJ
ijassa-1186	332	7	shah	shah	PROPN
ijassa-1186	332	8	,	,	PUNCT
ijassa-1186	332	9	d.	d.	PROPN
ijassa-1186	332	10	(	(	PUNCT
ijassa-1186	332	11	2006	2006	NUM
ijassa-1186	332	12	)	)	PUNCT
ijassa-1186	332	13	.	.	PUNCT
ijassa-1186	333	1	computing	compute	VERB
ijassa-1186	333	2	separable	separable	NOUN
ijassa-1186	333	3	functions	function	NOUN
ijassa-1186	333	4	via	via	ADP
ijassa-1186	333	5	gossip	gossip	NOUN
ijassa-1186	333	6	,	,	PUNCT
ijassa-1186	333	7	proc	proc	NOUN
ijassa-1186	333	8	.	.	PUNCT
ijassa-1186	334	1	of	of	ADP
ijassa-1186	334	2	the	the	DET
ijassa-1186	334	3	25th	25th	ADJ
ijassa-1186	334	4	acm	acm	NOUN
ijassa-1186	334	5	symposium	symposium	NOUN
ijassa-1186	334	6	on	on	ADP
ijassa-1186	334	7	principles	principle	NOUN
ijassa-1186	334	8	of	of	ADP
ijassa-1186	334	9	distributed	distribute	VERB
ijassa-1186	334	10	computing	computing	NOUN
ijassa-1186	334	11	(	(	PUNCT
ijassa-1186	334	12	podc	podc	ADJ
ijassa-1186	334	13	’	'	PUNCT
ijassa-1186	334	14	06	06	NUM
ijassa-1186	334	15	)	)	PUNCT
ijassa-1186	334	16	,	,	PUNCT
ijassa-1186	334	17	acm	acm	PROPN
ijassa-1186	334	18	,	,	PUNCT
ijassa-1186	334	19	new	new	PROPN
ijassa-1186	334	20	york	york	PROPN
ijassa-1186	334	21	,	,	PUNCT
ijassa-1186	334	22	usa	usa	PROPN
ijassa-1186	334	23	.	.	PROPN
ijassa-1186	334	24	113	113	NUM
ijassa-1186	334	25	-	-	SYM
ijassa-1186	334	26	122	122	NUM
ijassa-1186	334	27	.	.	PUNCT
ijassa-1186	334	28	5	5	NUM
ijassa-1186	334	29	.	.	X
ijassa-1186	334	30	censor	censor	NOUN
ijassa-1186	334	31	-	-	PUNCT
ijassa-1186	334	32	hillel	hillel	PROPN
ijassa-1186	334	33	,	,	PUNCT
ijassa-1186	334	34	k.	k.	PROPN
ijassa-1186	334	35	&	&	CCONJ
ijassa-1186	334	36	shachnai	shachnai	PROPN
ijassa-1186	334	37	,	,	PUNCT
ijassa-1186	334	38	h.	h.	PROPN
ijassa-1186	334	39	(	(	PUNCT
ijassa-1186	334	40	2010	2010	NUM
ijassa-1186	334	41	)	)	PUNCT
ijassa-1186	334	42	.	.	PUNCT
ijassa-1186	335	1	partial	partial	ADJ
ijassa-1186	335	2	information	information	NOUN
ijassa-1186	335	3	spreading	spread	VERB
ijassa-1186	335	4	with	with	ADP
ijassa-1186	335	5	application	application	NOUN
ijassa-1186	335	6	to	to	ADP
ijassa-1186	335	7	distributed	distribute	VERB
ijassa-1186	335	8	maximum	maximum	ADJ
ijassa-1186	335	9	coverage	coverage	NOUN
ijassa-1186	335	10	.	.	PUNCT
ijassa-1186	336	1	proc	proc	NOUN
ijassa-1186	336	2	.	.	PUNCT
ijassa-1186	337	1	of	of	ADP
ijassa-1186	337	2	the	the	DET
ijassa-1186	337	3	29th	29th	ADJ
ijassa-1186	337	4	acm	acm	NOUN
ijassa-1186	337	5	symposium	symposium	NOUN
ijassa-1186	337	6	on	on	ADP
ijassa-1186	337	7	principles	principle	NOUN
ijassa-1186	337	8	of	of	ADP
ijassa-1186	337	9	distributed	distribute	VERB
ijassa-1186	337	10	computing	computing	NOUN
ijassa-1186	337	11	(	(	PUNCT
ijassa-1186	337	12	podc	podc	ADJ
ijassa-1186	337	13	’	'	PUNCT
ijassa-1186	337	14	10	10	NUM
ijassa-1186	337	15	)	)	PUNCT
ijassa-1186	337	16	,	,	PUNCT
ijassa-1186	337	17	acm	acm	PROPN
ijassa-1186	337	18	,	,	PUNCT
ijassa-1186	337	19	new	new	PROPN
ijassa-1186	337	20	york	york	PROPN
ijassa-1186	337	21	,	,	PUNCT
ijassa-1186	337	22	usa	usa	PROPN
ijassa-1186	337	23	.	.	PROPN
ijassa-1186	337	24	161	161	NUM
ijassa-1186	337	25	-	-	SYM
ijassa-1186	337	26	170	170	NUM
ijassa-1186	337	27	.	.	NOUN
ijassa-1186	337	28	6	6	NUM
ijassa-1186	337	29	.	.	X
ijassa-1186	337	30	markovich	markovich	PROPN
ijassa-1186	337	31	,	,	PUNCT
ijassa-1186	337	32	n.m	n.m	PROPN
ijassa-1186	337	33	.	.	PROPN
ijassa-1186	337	34	&	&	CCONJ
ijassa-1186	337	35	ryzhov	ryzhov	PROPN
ijassa-1186	337	36	,	,	PUNCT
ijassa-1186	337	37	m.s	m.s	PROPN
ijassa-1186	337	38	.	.	PROPN
ijassa-1186	337	39	(	(	PUNCT
ijassa-1186	337	40	2020	2020	NUM
ijassa-1186	337	41	)	)	PUNCT
ijassa-1186	337	42	.	.	PUNCT
ijassa-1186	338	1	leader	leader	NOUN
ijassa-1186	338	2	nodes	nod	VERB
ijassa-1186	338	3	in	in	ADP
ijassa-1186	338	4	communities	community	NOUN
ijassa-1186	338	5	for	for	ADP
ijassa-1186	338	6	information	information	NOUN
ijassa-1186	338	7	spreading	spread	VERB
ijassa-1186	338	8	,	,	PUNCT
ijassa-1186	338	9	lncs	lncs	PROPN
ijassa-1186	338	10	12563	12563	NUM
ijassa-1186	338	11	,	,	PUNCT
ijassa-1186	338	12	475	475	NUM
ijassa-1186	338	13	-	-	SYM
ijassa-1186	338	14	484	484	NUM
ijassa-1186	338	15	.	.	PUNCT
ijassa-1186	339	1	7	7	X
ijassa-1186	339	2	.	.	X
ijassa-1186	339	3	bollobás	bollobás	PROPN
ijassa-1186	339	4	,	,	PUNCT
ijassa-1186	339	5	b.	b.	PROPN
ijassa-1186	339	6	,	,	PUNCT
ijassa-1186	339	7	borgs	borgs	PROPN
ijassa-1186	339	8	,	,	PUNCT
ijassa-1186	339	9	c.	c.	PROPN
ijassa-1186	339	10	,	,	PUNCT
ijassa-1186	339	11	chayes	chayes	PROPN
ijassa-1186	339	12	,	,	PUNCT
ijassa-1186	339	13	j.	j.	PROPN
ijassa-1186	339	14	&	&	CCONJ
ijassa-1186	339	15	riordan	riordan	PROPN
ijassa-1186	339	16	,	,	PUNCT
ijassa-1186	339	17	o.	o.	PROPN
ijassa-1186	339	18	(	(	PUNCT
ijassa-1186	339	19	2003	2003	NUM
ijassa-1186	339	20	)	)	PUNCT
ijassa-1186	339	21	.	.	PUNCT
ijassa-1186	340	1	directed	direct	VERB
ijassa-1186	340	2	scale	scale	NOUN
ijassa-1186	340	3	-	-	PUNCT
ijassa-1186	340	4	free	free	ADJ
ijassa-1186	340	5	graphs	graph	NOUN
ijassa-1186	340	6	.	.	PUNCT
ijassa-1186	341	1	proc	proc	NOUN
ijassa-1186	341	2	.	.	PUNCT
ijassa-1186	342	1	of	of	ADP
ijassa-1186	342	2	the	the	DET
ijassa-1186	342	3	fourteenth	fourteenth	ADJ
ijassa-1186	342	4	annual	annual	ADJ
ijassa-1186	342	5	acm	acm	PROPN
ijassa-1186	342	6	-	-	PUNCT
ijassa-1186	342	7	siam	siam	NOUN
ijassa-1186	342	8	symposium	symposium	NOUN
ijassa-1186	342	9	on	on	ADP
ijassa-1186	342	10	discrete	discrete	ADJ
ijassa-1186	342	11	algorithms	algorithm	NOUN
ijassa-1186	342	12	(	(	PUNCT
ijassa-1186	342	13	soda	soda	NOUN
ijassa-1186	342	14	’	'	PUNCT
ijassa-1186	342	15	03	03	NUM
ijassa-1186	342	16	)	)	PUNCT
ijassa-1186	342	17	,	,	PUNCT
ijassa-1186	342	18	society	society	NOUN
ijassa-1186	342	19	for	for	ADP
ijassa-1186	342	20	industrial	industrial	ADJ
ijassa-1186	342	21	and	and	CCONJ
ijassa-1186	342	22	applied	applied	ADJ
ijassa-1186	342	23	mathematics	mathematic	NOUN
ijassa-1186	342	24	,	,	PUNCT
ijassa-1186	342	25	usa	usa	PROPN
ijassa-1186	342	26	.	.	PROPN
ijassa-1186	342	27	132–139	132–139	NUM
ijassa-1186	342	28	.	.	PUNCT
ijassa-1186	342	29	8	8	NUM
ijassa-1186	342	30	.	.	X
ijassa-1186	342	31	wan	wan	PROPN
ijassa-1186	342	32	,	,	PUNCT
ijassa-1186	342	33	p.	p.	PROPN
ijassa-1186	342	34	,	,	PUNCT
ijassa-1186	342	35	wang	wang	PROPN
ijassa-1186	342	36	,	,	PUNCT
ijassa-1186	342	37	t.	t.	PROPN
ijassa-1186	342	38	,	,	PUNCT
ijassa-1186	342	39	davis	davis	PROPN
ijassa-1186	342	40	,	,	PUNCT
ijassa-1186	342	41	r.	r.	PROPN
ijassa-1186	342	42	a.	a.	PROPN
ijassa-1186	342	43	&	&	CCONJ
ijassa-1186	342	44	resnick	resnick	PROPN
ijassa-1186	342	45	,	,	PUNCT
ijassa-1186	342	46	s.i	s.i	PROPN
ijassa-1186	342	47	.	.	PROPN
ijassa-1186	342	48	(	(	PUNCT
ijassa-1186	342	49	2017	2017	NUM
ijassa-1186	342	50	)	)	PUNCT
ijassa-1186	342	51	.	.	PUNCT
ijassa-1186	343	1	fitting	fit	VERB
ijassa-1186	343	2	the	the	DET
ijassa-1186	343	3	linear	linear	ADJ
ijassa-1186	343	4	preferential	preferential	ADJ
ijassa-1186	343	5	attachment	attachment	NOUN
ijassa-1186	343	6	model	model	NOUN
ijassa-1186	343	7	,	,	PUNCT
ijassa-1186	343	8	electron	electron	PROPN
ijassa-1186	343	9	.	.	PUNCT
ijassa-1186	344	1	j.	j.	PROPN
ijassa-1186	344	2	statist	statist	PROPN
ijassa-1186	344	3	.	.	PROPN
ijassa-1186	344	4	,	,	PUNCT
ijassa-1186	344	5	11(2	11(2	NOUN
ijassa-1186	344	6	)	)	PUNCT
ijassa-1186	344	7	,	,	PUNCT
ijassa-1186	344	8	3738	3738	NUM
ijassa-1186	344	9	-	-	SYM
ijassa-1186	344	10	3780	3780	NUM
ijassa-1186	344	11	.	.	PUNCT
ijassa-1186	345	1	9	9	NUM
ijassa-1186	345	2	.	.	X
ijassa-1186	345	3	schneider	schneider	PROPN
ijassa-1186	345	4	,	,	PUNCT
ijassa-1186	345	5	l.f	l.f	PROPN
ijassa-1186	345	6	.	.	PROPN
ijassa-1186	345	7	,	,	PUNCT
ijassa-1186	345	8	krajina	krajina	PROPN
ijassa-1186	345	9	,	,	PUNCT
ijassa-1186	345	10	a.	a.	PROPN
ijassa-1186	345	11	&	&	CCONJ
ijassa-1186	345	12	krivobokova	krivobokova	PROPN
ijassa-1186	345	13	,	,	PUNCT
ijassa-1186	345	14	t.	t.	PROPN
ijassa-1186	345	15	(	(	PUNCT
ijassa-1186	345	16	2021	2021	NUM
ijassa-1186	345	17	)	)	PUNCT
ijassa-1186	345	18	.	.	PUNCT
ijassa-1186	346	1	threshold	threshold	NOUN
ijassa-1186	346	2	selection	selection	NOUN
ijassa-1186	346	3	in	in	ADP
ijassa-1186	346	4	univariate	univariate	ADJ
ijassa-1186	346	5	extreme	extreme	ADJ
ijassa-1186	346	6	value	value	NOUN
ijassa-1186	346	7	analysis	analysis	NOUN
ijassa-1186	346	8	,	,	PUNCT
ijassa-1186	346	9	extremes	extreme	NOUN
ijassa-1186	346	10	,	,	PUNCT
ijassa-1186	346	11	2021	2021	NUM
ijassa-1186	346	12	,	,	PUNCT
ijassa-1186	346	13	24	24	NUM
ijassa-1186	346	14	,	,	PUNCT
ijassa-1186	346	15	881–913	881–913	NUM
ijassa-1186	346	16	.	.	PUNCT
ijassa-1186	347	1	10	10	NUM
ijassa-1186	347	2	.	.	PUNCT
ijassa-1186	348	1	giraitis	giraitis	PROPN
ijassa-1186	348	2	,	,	PUNCT
ijassa-1186	348	3	l.	l.	PROPN
ijassa-1186	348	4	,	,	PUNCT
ijassa-1186	348	5	leipus	leipus	PROPN
ijassa-1186	348	6	,	,	PUNCT
ijassa-1186	348	7	r.	r.	PROPN
ijassa-1186	348	8	&	&	CCONJ
ijassa-1186	348	9	philippe	philippe	PROPN
ijassa-1186	348	10	,	,	PUNCT
ijassa-1186	348	11	a.	a.	NOUN
ijassa-1186	348	12	(	(	PUNCT
ijassa-1186	348	13	2006	2006	NUM
ijassa-1186	348	14	)	)	PUNCT
ijassa-1186	348	15	.	.	PUNCT
ijassa-1186	349	1	a	a	DET
ijassa-1186	349	2	test	test	NOUN
ijassa-1186	349	3	for	for	ADP
ijassa-1186	349	4	stationarity	stationarity	NOUN
ijassa-1186	349	5	versus	versus	ADP
ijassa-1186	349	6	trend	trend	NOUN
ijassa-1186	349	7	and	and	CCONJ
ijassa-1186	349	8	unit	unit	NOUN
ijassa-1186	349	9	root	root	NOUN
ijassa-1186	349	10	for	for	ADP
ijassa-1186	349	11	a	a	DET
ijassa-1186	349	12	wide	wide	ADJ
ijassa-1186	349	13	class	class	NOUN
ijassa-1186	349	14	of	of	ADP
ijassa-1186	349	15	dependent	dependent	ADJ
ijassa-1186	349	16	errors	error	NOUN
ijassa-1186	349	17	,	,	PUNCT
ijassa-1186	349	18	econometric	econometric	ADJ
ijassa-1186	349	19	theory	theory	NOUN
ijassa-1186	349	20	,	,	PUNCT
ijassa-1186	349	21	22	22	NUM
ijassa-1186	349	22	,	,	PUNCT
ijassa-1186	349	23	989–1029	989–1029	NUM
ijassa-1186	349	24	.	.	PUNCT
ijassa-1186	349	25	11	11	NUM
ijassa-1186	349	26	.	.	PUNCT
ijassa-1186	349	27	brin	brin	PROPN
ijassa-1186	349	28	,	,	PUNCT
ijassa-1186	349	29	s.	s.	PROPN
ijassa-1186	349	30	&	&	CCONJ
ijassa-1186	349	31	page	page	PROPN
ijassa-1186	349	32	,	,	PUNCT
ijassa-1186	349	33	l.	l.	PROPN
ijassa-1186	349	34	(	(	PUNCT
ijassa-1186	349	35	1998	1998	NUM
ijassa-1186	349	36	)	)	PUNCT
ijassa-1186	349	37	.	.	PUNCT
ijassa-1186	350	1	the	the	DET
ijassa-1186	350	2	anatomy	anatomy	NOUN
ijassa-1186	350	3	of	of	ADP
ijassa-1186	350	4	a	a	DET
ijassa-1186	350	5	large	large	ADJ
ijassa-1186	350	6	-	-	PUNCT
ijassa-1186	350	7	scale	scale	NOUN
ijassa-1186	350	8	hypertextual	hypertextual	ADJ
ijassa-1186	350	9	web	web	NOUN
ijassa-1186	350	10	search	search	NOUN
ijassa-1186	350	11	engine	engine	NOUN
ijassa-1186	350	12	,	,	PUNCT
ijassa-1186	350	13	computer	computer	NOUN
ijassa-1186	350	14	networks	network	NOUN
ijassa-1186	350	15	and	and	CCONJ
ijassa-1186	350	16	isdn	isdn	PROPN
ijassa-1186	350	17	systems	system	NOUN
ijassa-1186	350	18	,	,	PUNCT
ijassa-1186	350	19	30(1	30(1	NUM
ijassa-1186	350	20	-	-	SYM
ijassa-1186	350	21	7	7	NUM
ijassa-1186	350	22	)	)	PUNCT
ijassa-1186	350	23	,	,	PUNCT
ijassa-1186	350	24	107	107	NUM
ijassa-1186	350	25	-	-	SYM
ijassa-1186	350	26	117	117	NUM
ijassa-1186	350	27	.	.	PUNCT
ijassa-1186	350	28	12	12	NUM
ijassa-1186	350	29	.	.	PUNCT
ijassa-1186	351	1	chen	chen	PROPN
ijassa-1186	351	2	,	,	PUNCT
ijassa-1186	351	3	n.	n.	PROPN
ijassa-1186	351	4	,	,	PUNCT
ijassa-1186	351	5	litvak	litvak	PROPN
ijassa-1186	351	6	,	,	PUNCT
ijassa-1186	351	7	n.	n.	PROPN
ijassa-1186	351	8	&	&	CCONJ
ijassa-1186	351	9	olvera	olvera	PROPN
ijassa-1186	351	10	-	-	PUNCT
ijassa-1186	351	11	cravioto	cravioto	NOUN
ijassa-1186	351	12	,	,	PUNCT
ijassa-1186	351	13	m.	m.	NOUN
ijassa-1186	351	14	(	(	PUNCT
ijassa-1186	351	15	2014	2014	NUM
ijassa-1186	351	16	)	)	PUNCT
ijassa-1186	351	17	.	.	PUNCT
ijassa-1186	352	1	pagerank	pagerank	NOUN
ijassa-1186	352	2	in	in	ADP
ijassa-1186	352	3	scale	scale	NOUN
ijassa-1186	352	4	-	-	PUNCT
ijassa-1186	352	5	free	free	ADJ
ijassa-1186	352	6	random	random	ADJ
ijassa-1186	352	7	graphs	graph	NOUN
ijassa-1186	352	8	.	.	PUNCT
ijassa-1186	353	1	bonato	bonato	NOUN
ijassa-1186	353	2	a.	a.	PROPN
ijassa-1186	353	3	et	et	PROPN
ijassa-1186	353	4	al	al	PROPN
ijassa-1186	353	5	.	.	PUNCT
ijassa-1186	354	1	(	(	PUNCT
ijassa-1186	354	2	ed	ed	NOUN
ijassa-1186	354	3	.	.	PUNCT
ijassa-1186	354	4	)	)	PUNCT
ijassa-1186	354	5	,	,	PUNCT
ijassa-1186	354	6	springer	springer	NOUN
ijassa-1186	354	7	,	,	PUNCT
ijassa-1186	354	8	waw	waw	PROPN
ijassa-1186	354	9	2014	2014	NUM
ijassa-1186	354	10	,	,	PUNCT
ijassa-1186	354	11	lncs	lncs	VERB
ijassa-1186	354	12	8882	8882	NUM
ijassa-1186	354	13	,	,	PUNCT
ijassa-1186	354	14	120–131	120–131	NUM
ijassa-1186	354	15	.	.	PUNCT
ijassa-1186	355	1	13	13	NUM
ijassa-1186	355	2	.	.	PUNCT
ijassa-1186	355	3	banerjee	banerjee	PROPN
ijassa-1186	355	4	,	,	PUNCT
ijassa-1186	355	5	s.	s.	PROPN
ijassa-1186	355	6	&	&	CCONJ
ijassa-1186	355	7	olvera	olvera	PROPN
ijassa-1186	355	8	-	-	PUNCT
ijassa-1186	355	9	cravioto	cravioto	NOUN
ijassa-1186	355	10	,	,	PUNCT
ijassa-1186	355	11	m.	m.	NOUN
ijassa-1186	355	12	(	(	PUNCT
ijassa-1186	355	13	2021	2021	NUM
ijassa-1186	355	14	)	)	PUNCT
ijassa-1186	355	15	.	.	PUNCT
ijassa-1186	356	1	pagerank	pagerank	NOUN
ijassa-1186	356	2	asymptotics	asymptotic	NOUN
ijassa-1186	356	3	on	on	ADP
ijassa-1186	356	4	directed	direct	VERB
ijassa-1186	356	5	preferential	preferential	ADJ
ijassa-1186	356	6	attachment	attachment	NOUN
ijassa-1186	356	7	networks	network	NOUN
ijassa-1186	356	8	,	,	PUNCT
ijassa-1186	356	9	arxiv:2102.08894	arxiv:2102.08894	NUM
ijassa-1186	356	10	14	14	NUM
ijassa-1186	356	11	.	.	PUNCT
ijassa-1186	357	1	leskovec	leskovec	PROPN
ijassa-1186	357	2	,	,	PUNCT
ijassa-1186	357	3	j.	j.	PROPN
ijassa-1186	357	4	,	,	PUNCT
ijassa-1186	357	5	lang	lang	PROPN
ijassa-1186	357	6	,	,	PUNCT
ijassa-1186	357	7	k.	k.	PROPN
ijassa-1186	357	8	,	,	PUNCT
ijassa-1186	357	9	dasgupta	dasgupta	PROPN
ijassa-1186	357	10	,	,	PUNCT
ijassa-1186	357	11	a.	a.	PROPN
ijassa-1186	357	12	&	&	CCONJ
ijassa-1186	357	13	mahoney	mahoney	PROPN
ijassa-1186	357	14	,	,	PUNCT
ijassa-1186	357	15	m.	m.	NOUN
ijassa-1186	357	16	(	(	PUNCT
ijassa-1186	357	17	2009	2009	NUM
ijassa-1186	357	18	)	)	PUNCT
ijassa-1186	357	19	.	.	PUNCT
ijassa-1186	358	1	community	community	NOUN
ijassa-1186	358	2	structure	structure	NOUN
ijassa-1186	358	3	in	in	ADP
ijassa-1186	358	4	large	large	ADJ
ijassa-1186	358	5	networks	network	NOUN
ijassa-1186	358	6	:	:	PUNCT
ijassa-1186	358	7	natural	natural	ADJ
ijassa-1186	358	8	cluster	cluster	NOUN
ijassa-1186	358	9	sizes	size	NOUN
ijassa-1186	358	10	and	and	CCONJ
ijassa-1186	358	11	the	the	DET
ijassa-1186	358	12	absence	absence	NOUN
ijassa-1186	358	13	of	of	ADP
ijassa-1186	358	14	large	large	ADJ
ijassa-1186	358	15	well	well	ADV
ijassa-1186	358	16	-	-	PUNCT
ijassa-1186	358	17	defined	define	VERB
ijassa-1186	358	18	clusters	cluster	NOUN
ijassa-1186	358	19	,	,	PUNCT
ijassa-1186	358	20	internet	internet	NOUN
ijassa-1186	358	21	mathematics	mathematic	NOUN
ijassa-1186	358	22	,	,	PUNCT
ijassa-1186	358	23	6(1	6(1	NUM
ijassa-1186	358	24	)	)	PUNCT
ijassa-1186	358	25	,	,	PUNCT
ijassa-1186	358	26	29	29	NUM
ijassa-1186	358	27	-	-	SYM
ijassa-1186	358	28	123	123	NUM
ijassa-1186	358	29	.	.	PUNCT
ijassa-1186	359	1	15	15	NUM
ijassa-1186	359	2	.	.	PUNCT
ijassa-1186	359	3	dugué	dugué	PROPN
ijassa-1186	359	4	,	,	PUNCT
ijassa-1186	359	5	n.	n.	PROPN
ijassa-1186	359	6	&	&	CCONJ
ijassa-1186	359	7	perez	perez	PROPN
ijassa-1186	359	8	,	,	PUNCT
ijassa-1186	359	9	a.	a.	NOUN
ijassa-1186	359	10	(	(	PUNCT
ijassa-1186	359	11	2015	2015	NUM
ijassa-1186	359	12	)	)	PUNCT
ijassa-1186	359	13	.	.	PUNCT
ijassa-1186	360	1	directed	direct	VERB
ijassa-1186	360	2	louvain	louvain	NOUN
ijassa-1186	360	3	:	:	PUNCT
ijassa-1186	360	4	maximizing	maximize	VERB
ijassa-1186	360	5	modularity	modularity	NOUN
ijassa-1186	360	6	in	in	ADP
ijassa-1186	360	7	directed	direct	VERB
ijassa-1186	360	8	networks	network	NOUN
ijassa-1186	360	9	,	,	PUNCT
ijassa-1186	360	10	université	université	ADJ
ijassa-1186	360	11	d’orléans	d’orléans	PROPN
ijassa-1186	360	12	.	.	PROPN
ijassa-1186	360	13	16	16	NUM
ijassa-1186	360	14	.	.	PUNCT
ijassa-1186	361	1	volkovich	volkovich	PROPN
ijassa-1186	361	2	,	,	PUNCT
ijassa-1186	361	3	y.	y.	PROPN
ijassa-1186	361	4	&	&	CCONJ
ijassa-1186	361	5	litvak	litvak	PROPN
ijassa-1186	361	6	,	,	PUNCT
ijassa-1186	361	7	n.	n.	PROPN
ijassa-1186	361	8	(	(	PUNCT
ijassa-1186	361	9	2010	2010	NUM
ijassa-1186	361	10	)	)	PUNCT
ijassa-1186	361	11	.	.	PUNCT
ijassa-1186	362	1	asymptotic	asymptotic	ADJ
ijassa-1186	362	2	analysis	analysis	NOUN
ijassa-1186	362	3	for	for	ADP
ijassa-1186	362	4	personalized	personalized	ADJ
ijassa-1186	362	5	web	web	NOUN
ijassa-1186	362	6	search	search	NOUN
ijassa-1186	362	7	,	,	PUNCT
ijassa-1186	362	8	adv	adv	PROPN
ijassa-1186	362	9	.	.	PUNCT
ijassa-1186	362	10	appl	appl	PROPN
ijassa-1186	362	11	.	.	PUNCT
ijassa-1186	363	1	prob	prob	PROPN
ijassa-1186	363	2	.	.	PROPN
ijassa-1186	363	3	,	,	PUNCT
ijassa-1186	363	4	42(2	42(2	PROPN
ijassa-1186	363	5	)	)	PUNCT
ijassa-1186	363	6	,	,	PUNCT
ijassa-1186	363	7	577	577	NUM
ijassa-1186	363	8	-	-	SYM
ijassa-1186	363	9	604	604	NUM
ijassa-1186	363	10	.	.	PUNCT
ijassa-1186	364	1	17	17	NUM
ijassa-1186	364	2	.	.	PUNCT
ijassa-1186	364	3	leskovec	leskovec	PROPN
ijassa-1186	364	4	,	,	PUNCT
ijassa-1186	364	5	j.	j.	PROPN
ijassa-1186	364	6	&	&	CCONJ
ijassa-1186	364	7	krevl	krevl	PROPN
ijassa-1186	364	8	,	,	PUNCT
ijassa-1186	364	9	a.	a.	NOUN
ijassa-1186	364	10	(	(	PUNCT
ijassa-1186	364	11	2014	2014	NUM
ijassa-1186	364	12	)	)	PUNCT
ijassa-1186	364	13	.	.	PUNCT
ijassa-1186	365	1	snap	snap	PROPN
ijassa-1186	365	2	datasets	dataset	NOUN
ijassa-1186	365	3	:	:	PUNCT
ijassa-1186	365	4	stanford	stanford	PROPN
ijassa-1186	365	5	large	large	ADJ
ijassa-1186	365	6	network	network	NOUN
ijassa-1186	365	7	dataset	dataset	NOUN
ijassa-1186	365	8	collection	collection	NOUN
ijassa-1186	365	9	,	,	PUNCT
ijassa-1186	365	10	https://snap.stanford.edu/data	https://snap.stanford.edu/data	PROPN
ijassa-1186	365	11	.	.	PUNCT
ijassa-1186	366	1	copyright	copyright	NOUN
ijassa-1186	366	2	©	©	PROPN
ijassa-1186	366	3	2022	2022	NUM
ijassa-1186	366	4	assa	assa	NOUN
ijassa-1186	366	5	.	.	PUNCT
ijassa-1186	367	1	adv	adv	PROPN
ijassa-1186	367	2	syst	syst	PROPN
ijassa-1186	367	3	sci	sci	PROPN
ijassa-1186	367	4	appl	appl	PROPN
ijassa-1186	367	5	(	(	PUNCT
ijassa-1186	367	6	2022	2022	NUM
ijassa-1186	367	7	)	)	PUNCT
ijassa-1186	367	8	https://snap.stanford.edu/data	https://snap.stanford.edu/data	NOUN
ijassa-1186	367	9	introduction	introduction	NOUN
ijassa-1186	367	10	preliminaries	preliminary	NOUN
ijassa-1186	367	11	information	information	NOUN
ijassa-1186	367	12	spreading	spread	VERB
ijassa-1186	367	13	preferential	preferential	ADJ
ijassa-1186	367	14	attachment	attachment	NOUN
ijassa-1186	367	15	tail	tail	NOUN
ijassa-1186	367	16	index	index	NOUN
ijassa-1186	367	17	test	test	NOUN
ijassa-1186	367	18	of	of	ADP
ijassa-1186	367	19	stationarity	stationarity	PROPN
ijassa-1186	367	20	a	a	DET
ijassa-1186	367	21	node	node	NOUN
ijassa-1186	367	22	's	's	PART
ijassa-1186	367	23	pagerank	pagerank	NOUN
ijassa-1186	367	24	simulation	simulation	NOUN
ijassa-1186	367	25	graphs	graph	VERB
ijassa-1186	367	26	investigation	investigation	NOUN
ijassa-1186	367	27	of	of	ADP
ijassa-1186	367	28	real	real	ADJ
ijassa-1186	367	29	graphs	graph	NOUN
ijassa-1186	367	30	comparison	comparison	NOUN
ijassa-1186	367	31	of	of	ADP
ijassa-1186	367	32	spreading	spread	VERB
ijassa-1186	367	33	models	model	NOUN
ijassa-1186	367	34	for	for	ADP
ijassa-1186	367	35	real	real	ADJ
ijassa-1186	367	36	graphs	graph	NOUN
ijassa-1186	367	37	conclusions	conclusion	NOUN