id	sid	tid	token	lemma	pos
cord-010715-91fob3ax	1	1	key	key	ADJ
cord-010715-91fob3ax	1	2	:	:	PUNCT
cord-010715-91fob3ax	1	3	cord-010715	cord-010715	NOUN
cord-010715-91fob3ax	1	4	-	-	PUNCT
cord-010715-91fob3ax	1	5	91fob3ax	91fob3ax	NUM
cord-010715-91fob3ax	1	6	authors	author	NOUN
cord-010715-91fob3ax	1	7	:	:	PUNCT
cord-010715-91fob3ax	1	8	hasegawa	hasegawa	PROPN
cord-010715-91fob3ax	1	9	,	,	PUNCT
cord-010715-91fob3ax	1	10	takehisa	takehisa	PROPN
cord-010715-91fob3ax	1	11	;	;	PUNCT
cord-010715-91fob3ax	1	12	nemoto	nemoto	PROPN
cord-010715-91fob3ax	1	13	,	,	PUNCT
cord-010715-91fob3ax	1	14	koji	koji	PROPN
cord-010715-91fob3ax	1	15	title	title	NOUN
cord-010715-91fob3ax	1	16	:	:	PUNCT
cord-010715-91fob3ax	1	17	outbreaks	outbreak	NOUN
cord-010715-91fob3ax	1	18	in	in	ADP
cord-010715-91fob3ax	1	19	susceptible	susceptible	ADJ
cord-010715-91fob3ax	1	20	-	-	PUNCT
cord-010715-91fob3ax	1	21	infected	infect	VERB
cord-010715-91fob3ax	1	22	-	-	PUNCT
cord-010715-91fob3ax	1	23	removed	remove	VERB
cord-010715-91fob3ax	1	24	epidemics	epidemic	NOUN
cord-010715-91fob3ax	1	25	with	with	ADP
cord-010715-91fob3ax	1	26	multiple	multiple	ADJ
cord-010715-91fob3ax	1	27	seeds	seed	NOUN
cord-010715-91fob3ax	1	28	date	date	NOUN
cord-010715-91fob3ax	1	29	:	:	PUNCT
cord-010715-91fob3ax	1	30	2016	2016	NUM
cord-010715-91fob3ax	1	31	-	-	SYM
cord-010715-91fob3ax	1	32	03	03	NUM
cord-010715-91fob3ax	1	33	-	-	SYM
cord-010715-91fob3ax	1	34	30	30	NUM
cord-010715-91fob3ax	1	35	journal	journal	NOUN
cord-010715-91fob3ax	1	36	:	:	PUNCT
cord-010715-91fob3ax	1	37	phys	phys	PROPN
cord-010715-91fob3ax	1	38	rev	rev	PROPN
cord-010715-91fob3ax	1	39	e	e	PROPN
cord-010715-91fob3ax	1	40	doi	doi	PROPN
cord-010715-91fob3ax	1	41	:	:	PUNCT
cord-010715-91fob3ax	1	42	10.1103	10.1103	NUM
cord-010715-91fob3ax	1	43	/	/	SYM
cord-010715-91fob3ax	1	44	physreve.93.032324	physreve.93.032324	NOUN
cord-010715-91fob3ax	1	45	sha	shall	AUX
cord-010715-91fob3ax	1	46	:	:	PUNCT
cord-010715-91fob3ax	1	47	doc_id	doc_id	X
cord-010715-91fob3ax	1	48	:	:	PUNCT
cord-010715-91fob3ax	1	49	10715	10715	NUM
cord-010715-91fob3ax	1	50	cord_uid	cord_uid	NOUN
cord-010715-91fob3ax	1	51	:	:	PUNCT
cord-010715-91fob3ax	1	52	91fob3ax	91fob3ax	NUM
cord-010715-91fob3ax	2	1	we	we	PRON
cord-010715-91fob3ax	2	2	study	study	VERB
cord-010715-91fob3ax	2	3	a	a	DET
cord-010715-91fob3ax	2	4	susceptible	susceptible	ADV
cord-010715-91fob3ax	2	5	-	-	PUNCT
cord-010715-91fob3ax	2	6	infected	infect	VERB
cord-010715-91fob3ax	2	7	-	-	PUNCT
cord-010715-91fob3ax	2	8	removed	remove	VERB
cord-010715-91fob3ax	2	9	(	(	PUNCT
cord-010715-91fob3ax	2	10	sir	sir	PROPN
cord-010715-91fob3ax	2	11	)	)	PUNCT
cord-010715-91fob3ax	2	12	model	model	NOUN
cord-010715-91fob3ax	2	13	with	with	ADP
cord-010715-91fob3ax	2	14	multiple	multiple	ADJ
cord-010715-91fob3ax	2	15	seeds	seed	NOUN
cord-010715-91fob3ax	2	16	on	on	ADP
cord-010715-91fob3ax	2	17	a	a	DET
cord-010715-91fob3ax	2	18	regular	regular	ADJ
cord-010715-91fob3ax	2	19	random	random	ADJ
cord-010715-91fob3ax	2	20	graph	graph	NOUN
cord-010715-91fob3ax	2	21	.	.	PUNCT
cord-010715-91fob3ax	3	1	many	many	ADJ
cord-010715-91fob3ax	3	2	researchers	researcher	NOUN
cord-010715-91fob3ax	3	3	have	have	AUX
cord-010715-91fob3ax	3	4	studied	study	VERB
cord-010715-91fob3ax	3	5	the	the	DET
cord-010715-91fob3ax	3	6	epidemic	epidemic	NOUN
cord-010715-91fob3ax	3	7	threshold	threshold	NOUN
cord-010715-91fob3ax	3	8	of	of	ADP
cord-010715-91fob3ax	3	9	epidemic	epidemic	NOUN
cord-010715-91fob3ax	3	10	models	model	NOUN
cord-010715-91fob3ax	3	11	above	above	ADP
cord-010715-91fob3ax	3	12	which	which	PRON
cord-010715-91fob3ax	3	13	a	a	DET
cord-010715-91fob3ax	3	14	global	global	ADJ
cord-010715-91fob3ax	3	15	outbreak	outbreak	NOUN
cord-010715-91fob3ax	3	16	can	can	AUX
cord-010715-91fob3ax	3	17	occur	occur	VERB
cord-010715-91fob3ax	3	18	,	,	PUNCT
cord-010715-91fob3ax	3	19	starting	start	VERB
cord-010715-91fob3ax	3	20	from	from	ADP
cord-010715-91fob3ax	3	21	an	an	DET
cord-010715-91fob3ax	3	22	infinitesimal	infinitesimal	ADJ
cord-010715-91fob3ax	3	23	fraction	fraction	NOUN
cord-010715-91fob3ax	3	24	of	of	ADP
cord-010715-91fob3ax	3	25	seeds	seed	NOUN
cord-010715-91fob3ax	3	26	.	.	PUNCT
cord-010715-91fob3ax	4	1	however	however	ADV
cord-010715-91fob3ax	4	2	,	,	PUNCT
cord-010715-91fob3ax	4	3	there	there	PRON
cord-010715-91fob3ax	4	4	have	have	AUX
cord-010715-91fob3ax	4	5	been	be	AUX
cord-010715-91fob3ax	4	6	few	few	ADJ
cord-010715-91fob3ax	4	7	studies	study	NOUN
cord-010715-91fob3ax	4	8	of	of	ADP
cord-010715-91fob3ax	4	9	epidemic	epidemic	NOUN
cord-010715-91fob3ax	4	10	models	model	NOUN
cord-010715-91fob3ax	4	11	with	with	ADP
cord-010715-91fob3ax	4	12	finite	finite	ADJ
cord-010715-91fob3ax	4	13	fractions	fraction	NOUN
cord-010715-91fob3ax	4	14	of	of	ADP
cord-010715-91fob3ax	4	15	seeds	seed	NOUN
cord-010715-91fob3ax	4	16	.	.	PUNCT
cord-010715-91fob3ax	5	1	the	the	DET
cord-010715-91fob3ax	5	2	aim	aim	NOUN
cord-010715-91fob3ax	5	3	of	of	ADP
cord-010715-91fob3ax	5	4	this	this	DET
cord-010715-91fob3ax	5	5	paper	paper	NOUN
cord-010715-91fob3ax	5	6	is	be	AUX
cord-010715-91fob3ax	5	7	to	to	PART
cord-010715-91fob3ax	5	8	clarify	clarify	VERB
cord-010715-91fob3ax	5	9	what	what	PRON
cord-010715-91fob3ax	5	10	happens	happen	VERB
cord-010715-91fob3ax	5	11	in	in	ADP
cord-010715-91fob3ax	5	12	phase	phase	NOUN
cord-010715-91fob3ax	5	13	transitions	transition	NOUN
cord-010715-91fob3ax	5	14	in	in	ADP
cord-010715-91fob3ax	5	15	such	such	ADJ
cord-010715-91fob3ax	5	16	cases	case	NOUN
cord-010715-91fob3ax	5	17	.	.	PUNCT
cord-010715-91fob3ax	6	1	the	the	DET
cord-010715-91fob3ax	6	2	sir	sir	PROPN
cord-010715-91fob3ax	6	3	model	model	NOUN
cord-010715-91fob3ax	6	4	in	in	ADP
cord-010715-91fob3ax	6	5	networks	network	NOUN
cord-010715-91fob3ax	6	6	exhibits	exhibit	VERB
cord-010715-91fob3ax	6	7	two	two	NUM
cord-010715-91fob3ax	6	8	percolation	percolation	NOUN
cord-010715-91fob3ax	6	9	transitions	transition	NOUN
cord-010715-91fob3ax	6	10	.	.	PUNCT
cord-010715-91fob3ax	7	1	we	we	PRON
cord-010715-91fob3ax	7	2	derive	derive	VERB
cord-010715-91fob3ax	7	3	the	the	DET
cord-010715-91fob3ax	7	4	percolation	percolation	NOUN
cord-010715-91fob3ax	7	5	transition	transition	NOUN
cord-010715-91fob3ax	7	6	points	point	NOUN
cord-010715-91fob3ax	7	7	for	for	ADP
cord-010715-91fob3ax	7	8	the	the	DET
cord-010715-91fob3ax	7	9	sir	sir	PROPN
cord-010715-91fob3ax	7	10	model	model	NOUN
cord-010715-91fob3ax	7	11	with	with	ADP
cord-010715-91fob3ax	7	12	multiple	multiple	ADJ
cord-010715-91fob3ax	7	13	seeds	seed	NOUN
cord-010715-91fob3ax	7	14	to	to	PART
cord-010715-91fob3ax	7	15	show	show	VERB
cord-010715-91fob3ax	7	16	that	that	SCONJ
cord-010715-91fob3ax	7	17	as	as	SCONJ
cord-010715-91fob3ax	7	18	the	the	DET
cord-010715-91fob3ax	7	19	infection	infection	NOUN
cord-010715-91fob3ax	7	20	rate	rate	NOUN
cord-010715-91fob3ax	7	21	increases	increase	VERB
cord-010715-91fob3ax	7	22	epidemic	epidemic	ADJ
cord-010715-91fob3ax	7	23	clusters	cluster	NOUN
cord-010715-91fob3ax	7	24	generated	generate	VERB
cord-010715-91fob3ax	7	25	from	from	ADP
cord-010715-91fob3ax	7	26	each	each	DET
cord-010715-91fob3ax	7	27	seed	seed	NOUN
cord-010715-91fob3ax	7	28	percolate	percolate	NOUN
cord-010715-91fob3ax	7	29	before	before	SCONJ
cord-010715-91fob3ax	7	30	a	a	DET
cord-010715-91fob3ax	7	31	single	single	ADJ
cord-010715-91fob3ax	7	32	seed	seed	NOUN
cord-010715-91fob3ax	7	33	can	can	AUX
cord-010715-91fob3ax	7	34	induce	induce	VERB
cord-010715-91fob3ax	7	35	a	a	DET
cord-010715-91fob3ax	7	36	global	global	ADJ
cord-010715-91fob3ax	7	37	outbreak	outbreak	NOUN
cord-010715-91fob3ax	7	38	.	.	PUNCT
cord-010715-91fob3ax	8	1	the	the	DET
cord-010715-91fob3ax	8	2	threat	threat	NOUN
cord-010715-91fob3ax	8	3	of	of	ADP
cord-010715-91fob3ax	8	4	infectious	infectious	ADJ
cord-010715-91fob3ax	8	5	disease	disease	NOUN
cord-010715-91fob3ax	8	6	is	be	AUX
cord-010715-91fob3ax	8	7	becoming	become	VERB
cord-010715-91fob3ax	8	8	increasingly	increasingly	ADV
cord-010715-91fob3ax	8	9	conspicuous	conspicuous	ADJ
cord-010715-91fob3ax	8	10	for	for	ADP
cord-010715-91fob3ax	8	11	modern	modern	ADJ
cord-010715-91fob3ax	8	12	society	society	NOUN
cord-010715-91fob3ax	8	13	,	,	PUNCT
cord-010715-91fob3ax	8	14	wherein	wherein	SCONJ
cord-010715-91fob3ax	8	15	there	there	PRON
cord-010715-91fob3ax	8	16	is	be	VERB
cord-010715-91fob3ax	8	17	a	a	DET
cord-010715-91fob3ax	8	18	large	large	ADJ
cord-010715-91fob3ax	8	19	amount	amount	NOUN
cord-010715-91fob3ax	8	20	of	of	ADP
cord-010715-91fob3ax	8	21	international	international	ADJ
cord-010715-91fob3ax	8	22	travel	travel	NOUN
cord-010715-91fob3ax	8	23	all	all	ADV
cord-010715-91fob3ax	8	24	over	over	ADP
cord-010715-91fob3ax	8	25	the	the	DET
cord-010715-91fob3ax	8	26	world	world	NOUN
cord-010715-91fob3ax	8	27	.	.	PUNCT
cord-010715-91fob3ax	9	1	understanding	understand	VERB
cord-010715-91fob3ax	9	2	how	how	SCONJ
cord-010715-91fob3ax	9	3	infectious	infectious	ADJ
cord-010715-91fob3ax	9	4	diseases	disease	NOUN
cord-010715-91fob3ax	9	5	spread	spread	VERB
cord-010715-91fob3ax	9	6	in	in	ADP
cord-010715-91fob3ax	9	7	our	our	PRON
cord-010715-91fob3ax	9	8	society	society	NOUN
cord-010715-91fob3ax	9	9	is	be	AUX
cord-010715-91fob3ax	9	10	crucial	crucial	ADJ
cord-010715-91fob3ax	9	11	to	to	ADP
cord-010715-91fob3ax	9	12	the	the	DET
cord-010715-91fob3ax	9	13	development	development	NOUN
cord-010715-91fob3ax	9	14	of	of	ADP
cord-010715-91fob3ax	9	15	strategies	strategy	NOUN
cord-010715-91fob3ax	9	16	for	for	ADP
cord-010715-91fob3ax	9	17	disease	disease	NOUN
cord-010715-91fob3ax	9	18	control	control	NOUN
cord-010715-91fob3ax	9	19	.	.	PUNCT
cord-010715-91fob3ax	10	1	a	a	DET
cord-010715-91fob3ax	10	2	mathematical	mathematical	ADJ
cord-010715-91fob3ax	10	3	model	model	NOUN
cord-010715-91fob3ax	10	4	of	of	ADP
cord-010715-91fob3ax	10	5	infectious	infectious	ADJ
cord-010715-91fob3ax	10	6	disease	disease	NOUN
cord-010715-91fob3ax	10	7	,	,	PUNCT
cord-010715-91fob3ax	10	8	called	call	VERB
cord-010715-91fob3ax	10	9	the	the	DET
cord-010715-91fob3ax	10	10	susceptible	susceptible	ADJ
cord-010715-91fob3ax	10	11	-	-	PUNCT
cord-010715-91fob3ax	10	12	infectedremoved	infectedremoved	ADJ
cord-010715-91fob3ax	10	13	(	(	PUNCT
cord-010715-91fob3ax	10	14	sir	sir	PROPN
cord-010715-91fob3ax	10	15	)	)	PUNCT
cord-010715-91fob3ax	10	16	model	model	NOUN
cord-010715-91fob3ax	10	17	,	,	PUNCT
cord-010715-91fob3ax	10	18	was	be	AUX
cord-010715-91fob3ax	10	19	first	first	ADV
cord-010715-91fob3ax	10	20	applied	apply	VERB
cord-010715-91fob3ax	10	21	with	with	ADP
cord-010715-91fob3ax	10	22	the	the	DET
cord-010715-91fob3ax	10	23	assumption	assumption	NOUN
cord-010715-91fob3ax	10	24	of	of	ADP
cord-010715-91fob3ax	10	25	a	a	DET
cord-010715-91fob3ax	10	26	well	well	ADV
cord-010715-91fob3ax	10	27	-	-	PUNCT
cord-010715-91fob3ax	10	28	mixed	mix	VERB
cord-010715-91fob3ax	10	29	population	population	NOUN
cord-010715-91fob3ax	10	30	for	for	ADP
cord-010715-91fob3ax	10	31	computation	computation	NOUN
cord-010715-91fob3ax	10	32	of	of	ADP
cord-010715-91fob3ax	10	33	the	the	DET
cord-010715-91fob3ax	10	34	final	final	ADJ
cord-010715-91fob3ax	10	35	numbers	number	NOUN
cord-010715-91fob3ax	10	36	of	of	ADP
cord-010715-91fob3ax	10	37	infected	infect	VERB
cord-010715-91fob3ax	10	38	and	and	CCONJ
cord-010715-91fob3ax	10	39	eventually	eventually	ADV
cord-010715-91fob3ax	10	40	removed	remove	VERB
cord-010715-91fob3ax	10	41	(	(	PUNCT
cord-010715-91fob3ax	10	42	or	or	CCONJ
cord-010715-91fob3ax	10	43	recovered	recover	VERB
cord-010715-91fob3ax	10	44	)	)	PUNCT
cord-010715-91fob3ax	10	45	individuals	individual	NOUN
cord-010715-91fob3ax	11	1	[	[	X
cord-010715-91fob3ax	11	2	1	1	NUM
cord-010715-91fob3ax	11	3	]	]	PUNCT
cord-010715-91fob3ax	11	4	.	.	PUNCT
cord-010715-91fob3ax	12	1	so	so	ADV
cord-010715-91fob3ax	12	2	far	far	ADV
cord-010715-91fob3ax	12	3	,	,	PUNCT
cord-010715-91fob3ax	12	4	many	many	ADJ
cord-010715-91fob3ax	12	5	mathematical	mathematical	ADJ
cord-010715-91fob3ax	12	6	models	model	NOUN
cord-010715-91fob3ax	12	7	of	of	ADP
cord-010715-91fob3ax	12	8	infectious	infectious	ADJ
cord-010715-91fob3ax	12	9	diseases	disease	NOUN
cord-010715-91fob3ax	12	10	have	have	AUX
cord-010715-91fob3ax	12	11	been	be	AUX
cord-010715-91fob3ax	12	12	proposed	propose	VERB
cord-010715-91fob3ax	12	13	for	for	ADP
cord-010715-91fob3ax	12	14	understanding	understand	VERB
cord-010715-91fob3ax	12	15	the	the	DET
cord-010715-91fob3ax	12	16	spread	spread	NOUN
cord-010715-91fob3ax	12	17	of	of	ADP
cord-010715-91fob3ax	12	18	epidemics	epidemic	NOUN
cord-010715-91fob3ax	12	19	and	and	CCONJ
cord-010715-91fob3ax	12	20	proposing	propose	VERB
cord-010715-91fob3ax	12	21	strategies	strategy	NOUN
cord-010715-91fob3ax	12	22	for	for	ADP
cord-010715-91fob3ax	12	23	disease	disease	NOUN
cord-010715-91fob3ax	12	24	control	control	NOUN
cord-010715-91fob3ax	12	25	[	[	X
cord-010715-91fob3ax	12	26	2	2	NUM
cord-010715-91fob3ax	12	27	]	]	PUNCT
cord-010715-91fob3ax	12	28	.	.	PUNCT
cord-010715-91fob3ax	13	1	in	in	ADP
cord-010715-91fob3ax	13	2	recent	recent	ADJ
cord-010715-91fob3ax	13	3	years	year	NOUN
cord-010715-91fob3ax	13	4	,	,	PUNCT
cord-010715-91fob3ax	13	5	many	many	ADJ
cord-010715-91fob3ax	13	6	studies	study	NOUN
cord-010715-91fob3ax	13	7	have	have	AUX
cord-010715-91fob3ax	13	8	been	be	AUX
cord-010715-91fob3ax	13	9	devoted	devote	VERB
cord-010715-91fob3ax	13	10	to	to	ADP
cord-010715-91fob3ax	13	11	epidemic	epidemic	NOUN
cord-010715-91fob3ax	13	12	models	model	NOUN
cord-010715-91fob3ax	13	13	with	with	ADP
cord-010715-91fob3ax	13	14	a	a	DET
cord-010715-91fob3ax	13	15	network	network	NOUN
cord-010715-91fob3ax	13	16	structure	structure	NOUN
cord-010715-91fob3ax	13	17	of	of	ADP
cord-010715-91fob3ax	13	18	people	people	NOUN
cord-010715-91fob3ax	13	19	[	[	X
cord-010715-91fob3ax	13	20	3	3	NUM
cord-010715-91fob3ax	13	21	]	]	PUNCT
cord-010715-91fob3ax	13	22	.	.	PUNCT
cord-010715-91fob3ax	14	1	diseases	disease	NOUN
cord-010715-91fob3ax	14	2	spread	spread	VERB
cord-010715-91fob3ax	14	3	over	over	ADP
cord-010715-91fob3ax	14	4	the	the	DET
cord-010715-91fob3ax	14	5	networks	network	NOUN
cord-010715-91fob3ax	14	6	of	of	ADP
cord-010715-91fob3ax	14	7	physical	physical	ADJ
cord-010715-91fob3ax	14	8	contacts	contact	NOUN
cord-010715-91fob3ax	14	9	between	between	ADP
cord-010715-91fob3ax	14	10	individuals	individual	NOUN
cord-010715-91fob3ax	14	11	,	,	PUNCT
cord-010715-91fob3ax	14	12	and	and	CCONJ
cord-010715-91fob3ax	14	13	the	the	DET
cord-010715-91fob3ax	14	14	structure	structure	NOUN
cord-010715-91fob3ax	14	15	of	of	ADP
cord-010715-91fob3ax	14	16	real	real	ADJ
cord-010715-91fob3ax	14	17	networks	network	NOUN
cord-010715-91fob3ax	14	18	[	[	X
cord-010715-91fob3ax	14	19	4	4	NUM
cord-010715-91fob3ax	14	20	]	]	PUNCT
cord-010715-91fob3ax	14	21	[	[	X
cord-010715-91fob3ax	14	22	5	5	NUM
cord-010715-91fob3ax	14	23	]	]	PUNCT
cord-010715-91fob3ax	14	24	[	[	X
cord-010715-91fob3ax	14	25	6	6	NUM
cord-010715-91fob3ax	14	26	]	]	PUNCT
cord-010715-91fob3ax	14	27	[	[	X
cord-010715-91fob3ax	14	28	7	7	NUM
cord-010715-91fob3ax	14	29	]	]	PUNCT
cord-010715-91fob3ax	14	30	has	have	AUX
cord-010715-91fob3ax	14	31	crucial	crucial	ADJ
cord-010715-91fob3ax	14	32	effects	effect	NOUN
cord-010715-91fob3ax	14	33	on	on	ADP
cord-010715-91fob3ax	14	34	this	this	DET
cord-010715-91fob3ax	14	35	spread	spread	NOUN
cord-010715-91fob3ax	14	36	.	.	PUNCT
cord-010715-91fob3ax	15	1	for	for	ADP
cord-010715-91fob3ax	15	2	example	example	NOUN
cord-010715-91fob3ax	15	3	,	,	PUNCT
cord-010715-91fob3ax	15	4	moreno	moreno	ADJ
cord-010715-91fob3ax	15	5	et	et	PROPN
cord-010715-91fob3ax	15	6	al	al	PROPN
cord-010715-91fob3ax	15	7	.	.	PUNCT
cord-010715-91fob3ax	16	1	[	[	X
cord-010715-91fob3ax	16	2	8	8	NUM
cord-010715-91fob3ax	16	3	]	]	PUNCT
cord-010715-91fob3ax	16	4	studied	study	VERB
cord-010715-91fob3ax	16	5	the	the	DET
cord-010715-91fob3ax	16	6	sir	sir	NOUN
cord-010715-91fob3ax	16	7	model	model	NOUN
cord-010715-91fob3ax	16	8	in	in	ADP
cord-010715-91fob3ax	16	9	a	a	DET
cord-010715-91fob3ax	16	10	scale	scale	NOUN
cord-010715-91fob3ax	16	11	-	-	PUNCT
cord-010715-91fob3ax	16	12	free	free	ADJ
cord-010715-91fob3ax	16	13	network	network	NOUN
cord-010715-91fob3ax	16	14	having	have	VERB
cord-010715-91fob3ax	16	15	a	a	DET
cord-010715-91fob3ax	16	16	degree	degree	NOUN
cord-010715-91fob3ax	16	17	distribution	distribution	NOUN
cord-010715-91fob3ax	16	18	of	of	ADP
cord-010715-91fob3ax	16	19	p	p	PROPN
cord-010715-91fob3ax	16	20	k	k	PROPN
cord-010715-91fob3ax	16	21	∝	∝	ADV
cord-010715-91fob3ax	16	22	k	k	PROPN
cord-010715-91fob3ax	16	23	−γ	−γ	PROPN
cord-010715-91fob3ax	16	24	using	use	VERB
cord-010715-91fob3ax	16	25	a	a	DET
cord-010715-91fob3ax	16	26	degree	degree	NOUN
cord-010715-91fob3ax	16	27	-	-	PUNCT
cord-010715-91fob3ax	16	28	based	base	VERB
cord-010715-91fob3ax	16	29	mean	mean	ADJ
cord-010715-91fob3ax	16	30	-	-	PUNCT
cord-010715-91fob3ax	16	31	field	field	NOUN
cord-010715-91fob3ax	16	32	approach	approach	NOUN
cord-010715-91fob3ax	16	33	.	.	PUNCT
cord-010715-91fob3ax	17	1	their	their	PRON
cord-010715-91fob3ax	17	2	approximation	approximation	NOUN
cord-010715-91fob3ax	17	3	clarified	clarify	VERB
cord-010715-91fob3ax	17	4	that	that	SCONJ
cord-010715-91fob3ax	17	5	epidemics	epidemic	NOUN
cord-010715-91fob3ax	17	6	can	can	AUX
cord-010715-91fob3ax	17	7	spread	spread	VERB
cord-010715-91fob3ax	17	8	over	over	ADP
cord-010715-91fob3ax	17	9	the	the	DET
cord-010715-91fob3ax	17	10	network	network	NOUN
cord-010715-91fob3ax	17	11	for	for	ADP
cord-010715-91fob3ax	17	12	any	any	DET
cord-010715-91fob3ax	17	13	infection	infection	NOUN
cord-010715-91fob3ax	17	14	rate	rate	NOUN
cord-010715-91fob3ax	17	15	if	if	SCONJ
cord-010715-91fob3ax	17	16	γ	γ	PROPN
cord-010715-91fob3ax	17	17	3	3	NUM
cord-010715-91fob3ax	17	18	.	.	PUNCT
cord-010715-91fob3ax	18	1	in	in	ADP
cord-010715-91fob3ax	18	2	addition	addition	NOUN
cord-010715-91fob3ax	18	3	,	,	PUNCT
cord-010715-91fob3ax	18	4	many	many	ADJ
cord-010715-91fob3ax	18	5	analytical	analytical	ADJ
cord-010715-91fob3ax	18	6	approaches	approach	NOUN
cord-010715-91fob3ax	18	7	for	for	ADP
cord-010715-91fob3ax	18	8	epidemic	epidemic	NOUN
cord-010715-91fob3ax	18	9	models	model	NOUN
cord-010715-91fob3ax	18	10	with	with	ADP
cord-010715-91fob3ax	18	11	network	network	NOUN
cord-010715-91fob3ax	18	12	structures	structure	NOUN
cord-010715-91fob3ax	18	13	,	,	PUNCT
cord-010715-91fob3ax	18	14	such	such	ADJ
cord-010715-91fob3ax	18	15	as	as	ADP
cord-010715-91fob3ax	18	16	the	the	DET
cord-010715-91fob3ax	18	17	approximation	approximation	NOUN
cord-010715-91fob3ax	18	18	onto	onto	ADP
cord-010715-91fob3ax	18	19	a	a	DET
cord-010715-91fob3ax	18	20	bond	bond	NOUN
cord-010715-91fob3ax	18	21	percolation	percolation	NOUN
cord-010715-91fob3ax	18	22	problem	problem	NOUN
cord-010715-91fob3ax	18	23	[	[	X
cord-010715-91fob3ax	18	24	9	9	NUM
cord-010715-91fob3ax	18	25	,	,	PUNCT
cord-010715-91fob3ax	18	26	10	10	NUM
cord-010715-91fob3ax	18	27	]	]	PUNCT
cord-010715-91fob3ax	18	28	,	,	PUNCT
cord-010715-91fob3ax	18	29	the	the	DET
cord-010715-91fob3ax	18	30	edge	edge	NOUN
cord-010715-91fob3ax	18	31	-	-	PUNCT
cord-010715-91fob3ax	18	32	based	base	VERB
cord-010715-91fob3ax	18	33	compartment	compartment	NOUN
cord-010715-91fob3ax	18	34	model	model	NOUN
cord-010715-91fob3ax	19	1	[	[	X
cord-010715-91fob3ax	19	2	11	11	NUM
cord-010715-91fob3ax	19	3	]	]	PUNCT
cord-010715-91fob3ax	19	4	,	,	PUNCT
cord-010715-91fob3ax	19	5	the	the	DET
cord-010715-91fob3ax	19	6	effective	effective	ADJ
cord-010715-91fob3ax	19	7	degree	degree	NOUN
cord-010715-91fob3ax	19	8	approach	approach	NOUN
cord-010715-91fob3ax	19	9	[	[	X
cord-010715-91fob3ax	19	10	12	12	NUM
cord-010715-91fob3ax	19	11	]	]	PUNCT
cord-010715-91fob3ax	19	12	,	,	PUNCT
cord-010715-91fob3ax	19	13	and	and	CCONJ
cord-010715-91fob3ax	19	14	the	the	DET
cord-010715-91fob3ax	19	15	pair	pair	NOUN
cord-010715-91fob3ax	19	16	approximation	approximation	NOUN
cord-010715-91fob3ax	19	17	[	[	PUNCT
cord-010715-91fob3ax	19	18	13	13	NUM
cord-010715-91fob3ax	19	19	,	,	PUNCT
cord-010715-91fob3ax	19	20	14	14	NUM
cord-010715-91fob3ax	19	21	]	]	PUNCT
cord-010715-91fob3ax	19	22	,	,	PUNCT
cord-010715-91fob3ax	19	23	have	have	AUX
cord-010715-91fob3ax	19	24	been	be	AUX
cord-010715-91fob3ax	19	25	proposed	propose	VERB
cord-010715-91fob3ax	19	26	and	and	CCONJ
cord-010715-91fob3ax	19	27	have	have	AUX
cord-010715-91fob3ax	19	28	succeeded	succeed	VERB
cord-010715-91fob3ax	19	29	in	in	ADP
cord-010715-91fob3ax	19	30	describing	describe	VERB
cord-010715-91fob3ax	19	31	epidemic	epidemic	NOUN
cord-010715-91fob3ax	19	32	dynamics	dynamic	NOUN
cord-010715-91fob3ax	19	33	.	.	PUNCT
cord-010715-91fob3ax	20	1	numerical	numerical	ADJ
cord-010715-91fob3ax	20	2	simulations	simulation	NOUN
cord-010715-91fob3ax	20	3	have	have	AUX
cord-010715-91fob3ax	20	4	revealed	reveal	VERB
cord-010715-91fob3ax	20	5	how	how	SCONJ
cord-010715-91fob3ax	20	6	epidemics	epidemic	NOUN
cord-010715-91fob3ax	20	7	spread	spread	VERB
cord-010715-91fob3ax	20	8	in	in	ADP
cord-010715-91fob3ax	20	9	more	more	ADV
cord-010715-91fob3ax	20	10	realistic	realistic	ADJ
cord-010715-91fob3ax	20	11	situations	situation	NOUN
cord-010715-91fob3ax	20	12	.	.	PUNCT
cord-010715-91fob3ax	21	1	also	also	ADV
cord-010715-91fob3ax	21	2	,	,	PUNCT
cord-010715-91fob3ax	21	3	several	several	ADJ
cord-010715-91fob3ax	21	4	strategies	strategy	NOUN
cord-010715-91fob3ax	21	5	for	for	ADP
cord-010715-91fob3ax	21	6	disease	disease	NOUN
cord-010715-91fob3ax	21	7	control	control	NOUN
cord-010715-91fob3ax	21	8	have	have	AUX
cord-010715-91fob3ax	21	9	been	be	AUX
cord-010715-91fob3ax	21	10	proposed	propose	VERB
cord-010715-91fob3ax	21	11	on	on	ADP
cord-010715-91fob3ax	21	12	the	the	DET
cord-010715-91fob3ax	21	13	basis	basis	NOUN
cord-010715-91fob3ax	21	14	of	of	ADP
cord-010715-91fob3ax	21	15	the	the	DET
cord-010715-91fob3ax	21	16	knowledge	knowledge	NOUN
cord-010715-91fob3ax	21	17	of	of	ADP
cord-010715-91fob3ax	21	18	epidemics	epidemic	NOUN
cord-010715-91fob3ax	21	19	on	on	ADP
cord-010715-91fob3ax	21	20	networks	network	NOUN
cord-010715-91fob3ax	21	21	,	,	PUNCT
cord-010715-91fob3ax	21	22	e.g.	e.g.	ADV
cord-010715-91fob3ax	21	23	,	,	PUNCT
cord-010715-91fob3ax	21	24	target	target	NOUN
cord-010715-91fob3ax	21	25	immunization	immunization	NOUN
cord-010715-91fob3ax	21	26	[	[	PUNCT
cord-010715-91fob3ax	21	27	15	15	NUM
cord-010715-91fob3ax	21	28	,	,	PUNCT
cord-010715-91fob3ax	21	29	16	16	NUM
cord-010715-91fob3ax	21	30	]	]	PUNCT
cord-010715-91fob3ax	21	31	,	,	PUNCT
cord-010715-91fob3ax	21	32	acquaintance	acquaintance	NOUN
cord-010715-91fob3ax	21	33	immunization	immunization	NOUN
cord-010715-91fob3ax	21	34	[	[	X
cord-010715-91fob3ax	21	35	16	16	NUM
cord-010715-91fob3ax	21	36	]	]	PUNCT
cord-010715-91fob3ax	21	37	[	[	X
cord-010715-91fob3ax	21	38	17	17	NUM
cord-010715-91fob3ax	21	39	]	]	PUNCT
cord-010715-91fob3ax	21	40	[	[	X
cord-010715-91fob3ax	21	41	18	18	NUM
cord-010715-91fob3ax	21	42	]	]	PUNCT
cord-010715-91fob3ax	21	43	[	[	X
cord-010715-91fob3ax	21	44	19	19	NUM
cord-010715-91fob3ax	21	45	]	]	PUNCT
cord-010715-91fob3ax	21	46	,	,	PUNCT
cord-010715-91fob3ax	21	47	and	and	CCONJ
cord-010715-91fob3ax	21	48	graph	graph	NOUN
cord-010715-91fob3ax	21	49	-	-	PUNCT
cord-010715-91fob3ax	21	50	partitioning	partition	VERB
cord-010715-91fob3ax	21	51	immunization	immunization	NOUN
cord-010715-91fob3ax	21	52	[	[	X
cord-010715-91fob3ax	21	53	20	20	NUM
cord-010715-91fob3ax	21	54	]	]	PUNCT
cord-010715-91fob3ax	21	55	.	.	PUNCT
cord-010715-91fob3ax	22	1	most	most	ADJ
cord-010715-91fob3ax	22	2	previous	previous	ADJ
cord-010715-91fob3ax	22	3	studies	study	NOUN
cord-010715-91fob3ax	22	4	using	use	VERB
cord-010715-91fob3ax	22	5	sir	sir	NOUN
cord-010715-91fob3ax	22	6	-	-	PUNCT
cord-010715-91fob3ax	22	7	type	type	NOUN
cord-010715-91fob3ax	22	8	epidemic	epidemic	NOUN
cord-010715-91fob3ax	22	9	models	model	NOUN
cord-010715-91fob3ax	22	10	have	have	AUX
cord-010715-91fob3ax	22	11	assumed	assume	VERB
cord-010715-91fob3ax	22	12	that	that	SCONJ
cord-010715-91fob3ax	22	13	the	the	DET
cord-010715-91fob3ax	22	14	fraction	fraction	NOUN
cord-010715-91fob3ax	22	15	of	of	ADP
cord-010715-91fob3ax	22	16	infection	infection	NOUN
cord-010715-91fob3ax	22	17	seeds	seed	NOUN
cord-010715-91fob3ax	22	18	is	be	AUX
cord-010715-91fob3ax	22	19	infinitesimally	infinitesimally	ADV
cord-010715-91fob3ax	22	20	small	small	ADJ
cord-010715-91fob3ax	22	21	.	.	PUNCT
cord-010715-91fob3ax	23	1	in	in	ADP
cord-010715-91fob3ax	23	2	contrast	contrast	NOUN
cord-010715-91fob3ax	23	3	,	,	PUNCT
cord-010715-91fob3ax	23	4	there	there	PRON
cord-010715-91fob3ax	23	5	have	have	AUX
cord-010715-91fob3ax	23	6	been	be	AUX
cord-010715-91fob3ax	23	7	few	few	ADJ
cord-010715-91fob3ax	23	8	studies	study	NOUN
cord-010715-91fob3ax	23	9	on	on	ADP
cord-010715-91fob3ax	23	10	epidemic	epidemic	NOUN
cord-010715-91fob3ax	23	11	models	model	NOUN
cord-010715-91fob3ax	23	12	with	with	ADP
cord-010715-91fob3ax	23	13	finite	finite	ADJ
cord-010715-91fob3ax	23	14	fractions	fraction	NOUN
cord-010715-91fob3ax	23	15	of	of	ADP
cord-010715-91fob3ax	23	16	seeds	seed	NOUN
cord-010715-91fob3ax	23	17	.	.	PUNCT
cord-010715-91fob3ax	24	1	miller	miller	PROPN
cord-010715-91fob3ax	25	1	[	[	X
cord-010715-91fob3ax	25	2	21	21	NUM
cord-010715-91fob3ax	25	3	]	]	PUNCT
cord-010715-91fob3ax	25	4	considered	consider	VERB
cord-010715-91fob3ax	25	5	the	the	DET
cord-010715-91fob3ax	25	6	sir	sir	PROPN
cord-010715-91fob3ax	25	7	model	model	NOUN
cord-010715-91fob3ax	25	8	in	in	ADP
cord-010715-91fob3ax	25	9	networks	network	NOUN
cord-010715-91fob3ax	25	10	with	with	ADP
cord-010715-91fob3ax	25	11	large	large	ADJ
cord-010715-91fob3ax	25	12	initial	initial	ADJ
cord-010715-91fob3ax	25	13	*	*	NOUN
cord-010715-91fob3ax	25	14	takehisa.hasegawa.sci@vc.ibaraki.ac.jp	takehisa.hasegawa.sci@vc.ibaraki.ac.jp	NUM
cord-010715-91fob3ax	25	15	†	†	PROPN
cord-010715-91fob3ax	25	16	nemoto@statphys.sci.hokudai.ac.jp	nemoto@statphys.sci.hokudai.ac.jp	ADJ
cord-010715-91fob3ax	25	17	conditions	condition	NOUN
cord-010715-91fob3ax	25	18	to	to	PART
cord-010715-91fob3ax	25	19	resolve	resolve	VERB
cord-010715-91fob3ax	25	20	an	an	DET
cord-010715-91fob3ax	25	21	apparent	apparent	ADJ
cord-010715-91fob3ax	25	22	paradox	paradox	NOUN
cord-010715-91fob3ax	25	23	in	in	ADP
cord-010715-91fob3ax	25	24	works	work	NOUN
cord-010715-91fob3ax	25	25	assuming	assume	VERB
cord-010715-91fob3ax	25	26	an	an	DET
cord-010715-91fob3ax	25	27	infinitesimal	infinitesimal	ADJ
cord-010715-91fob3ax	25	28	fraction	fraction	NOUN
cord-010715-91fob3ax	25	29	of	of	ADP
cord-010715-91fob3ax	25	30	seeds	seed	NOUN
cord-010715-91fob3ax	25	31	.	.	PUNCT
cord-010715-91fob3ax	26	1	hu	hu	PROPN
cord-010715-91fob3ax	26	2	et	et	PROPN
cord-010715-91fob3ax	26	3	al	al	PROPN
cord-010715-91fob3ax	26	4	.	.	PUNCT
cord-010715-91fob3ax	27	1	[	[	X
cord-010715-91fob3ax	27	2	22	22	NUM
cord-010715-91fob3ax	27	3	]	]	PUNCT
cord-010715-91fob3ax	27	4	numerically	numerically	ADV
cord-010715-91fob3ax	27	5	studied	study	VERB
cord-010715-91fob3ax	27	6	how	how	SCONJ
cord-010715-91fob3ax	27	7	the	the	DET
cord-010715-91fob3ax	27	8	positions	position	NOUN
cord-010715-91fob3ax	27	9	of	of	ADP
cord-010715-91fob3ax	27	10	multiple	multiple	ADJ
cord-010715-91fob3ax	27	11	seeds	seed	NOUN
cord-010715-91fob3ax	27	12	in	in	ADP
cord-010715-91fob3ax	27	13	a	a	DET
cord-010715-91fob3ax	27	14	network	network	NOUN
cord-010715-91fob3ax	27	15	affect	affect	VERB
cord-010715-91fob3ax	27	16	spreading	spread	VERB
cord-010715-91fob3ax	27	17	behavior	behavior	NOUN
cord-010715-91fob3ax	27	18	.	.	PUNCT
cord-010715-91fob3ax	28	1	ji	ji	PROPN
cord-010715-91fob3ax	28	2	et	et	PROPN
cord-010715-91fob3ax	28	3	al	al	PROPN
cord-010715-91fob3ax	28	4	.	.	PUNCT
cord-010715-91fob3ax	29	1	[	[	X
cord-010715-91fob3ax	29	2	23	23	NUM
cord-010715-91fob3ax	29	3	]	]	PUNCT
cord-010715-91fob3ax	29	4	identified	identify	VERB
cord-010715-91fob3ax	29	5	multiple	multiple	ADJ
cord-010715-91fob3ax	29	6	influential	influential	ADJ
cord-010715-91fob3ax	29	7	spreaders	spreader	NOUN
cord-010715-91fob3ax	29	8	in	in	ADP
cord-010715-91fob3ax	29	9	real	real	ADJ
cord-010715-91fob3ax	29	10	networks	network	NOUN
cord-010715-91fob3ax	29	11	by	by	ADP
cord-010715-91fob3ax	29	12	ranking	rank	VERB
cord-010715-91fob3ax	29	13	nodes	node	NOUN
cord-010715-91fob3ax	29	14	in	in	ADP
cord-010715-91fob3ax	29	15	disintegrated	disintegrate	VERB
cord-010715-91fob3ax	29	16	networks	network	NOUN
cord-010715-91fob3ax	29	17	after	after	ADP
cord-010715-91fob3ax	29	18	random	random	ADJ
cord-010715-91fob3ax	29	19	bond	bond	NOUN
cord-010715-91fob3ax	29	20	removals	removal	NOUN
cord-010715-91fob3ax	29	21	.	.	PUNCT
cord-010715-91fob3ax	30	1	what	what	PRON
cord-010715-91fob3ax	30	2	we	we	PRON
cord-010715-91fob3ax	30	3	discuss	discuss	VERB
cord-010715-91fob3ax	30	4	here	here	ADV
cord-010715-91fob3ax	30	5	is	be	AUX
cord-010715-91fob3ax	30	6	a	a	DET
cord-010715-91fob3ax	30	7	more	more	ADV
cord-010715-91fob3ax	30	8	fundamental	fundamental	ADJ
cord-010715-91fob3ax	30	9	,	,	PUNCT
cord-010715-91fob3ax	30	10	but	but	CCONJ
cord-010715-91fob3ax	30	11	almost	almost	ADV
cord-010715-91fob3ax	30	12	overlooked	overlook	VERB
cord-010715-91fob3ax	30	13	problem	problem	NOUN
cord-010715-91fob3ax	30	14	:	:	PUNCT
cord-010715-91fob3ax	30	15	how	how	SCONJ
cord-010715-91fob3ax	30	16	do	do	AUX
cord-010715-91fob3ax	30	17	epidemic	epidemic	NOUN
cord-010715-91fob3ax	30	18	models	model	NOUN
cord-010715-91fob3ax	30	19	with	with	ADP
cord-010715-91fob3ax	30	20	finite	finite	ADJ
cord-010715-91fob3ax	30	21	fractions	fraction	NOUN
cord-010715-91fob3ax	30	22	of	of	ADP
cord-010715-91fob3ax	30	23	seeds	seed	NOUN
cord-010715-91fob3ax	30	24	undergo	undergo	VERB
cord-010715-91fob3ax	30	25	phase	phase	NOUN
cord-010715-91fob3ax	30	26	transitions	transition	NOUN
cord-010715-91fob3ax	30	27	?	?	PUNCT
cord-010715-91fob3ax	31	1	for	for	ADP
cord-010715-91fob3ax	31	2	sir	sir	NOUN
cord-010715-91fob3ax	31	3	-	-	PUNCT
cord-010715-91fob3ax	31	4	type	type	NOUN
cord-010715-91fob3ax	31	5	epidemics	epidemic	NOUN
cord-010715-91fob3ax	31	6	,	,	PUNCT
cord-010715-91fob3ax	31	7	each	each	DET
cord-010715-91fob3ax	31	8	infection	infection	NOUN
cord-010715-91fob3ax	31	9	seed	seed	NOUN
cord-010715-91fob3ax	31	10	creates	create	VERB
cord-010715-91fob3ax	31	11	an	an	DET
cord-010715-91fob3ax	31	12	epidemic	epidemic	NOUN
cord-010715-91fob3ax	31	13	cluster	cluster	NOUN
cord-010715-91fob3ax	31	14	of	of	ADP
cord-010715-91fob3ax	31	15	infected	infected	ADJ
cord-010715-91fob3ax	31	16	individuals	individual	NOUN
cord-010715-91fob3ax	31	17	.	.	PUNCT
cord-010715-91fob3ax	32	1	epidemic	epidemic	NOUN
cord-010715-91fob3ax	32	2	clusters	cluster	NOUN
cord-010715-91fob3ax	32	3	generated	generate	VERB
cord-010715-91fob3ax	32	4	by	by	ADP
cord-010715-91fob3ax	32	5	multiple	multiple	ADJ
cord-010715-91fob3ax	32	6	seeds	seed	NOUN
cord-010715-91fob3ax	32	7	will	will	AUX
cord-010715-91fob3ax	32	8	have	have	VERB
cord-010715-91fob3ax	32	9	global	global	ADJ
cord-010715-91fob3ax	32	10	connectivity	connectivity	NOUN
cord-010715-91fob3ax	32	11	in	in	ADP
cord-010715-91fob3ax	32	12	some	some	DET
cord-010715-91fob3ax	32	13	parameter	parameter	NOUN
cord-010715-91fob3ax	32	14	regions	region	NOUN
cord-010715-91fob3ax	32	15	even	even	ADV
cord-010715-91fob3ax	32	16	though	though	SCONJ
cord-010715-91fob3ax	32	17	each	each	DET
cord-010715-91fob3ax	32	18	seed	seed	NOUN
cord-010715-91fob3ax	32	19	may	may	AUX
cord-010715-91fob3ax	32	20	not	not	PART
cord-010715-91fob3ax	32	21	have	have	VERB
cord-010715-91fob3ax	32	22	the	the	DET
cord-010715-91fob3ax	32	23	potential	potential	NOUN
cord-010715-91fob3ax	32	24	to	to	PART
cord-010715-91fob3ax	32	25	induce	induce	VERB
cord-010715-91fob3ax	32	26	a	a	DET
cord-010715-91fob3ax	32	27	global	global	ADJ
cord-010715-91fob3ax	32	28	outbreak	outbreak	NOUN
cord-010715-91fob3ax	32	29	there	there	ADV
cord-010715-91fob3ax	32	30	.	.	PUNCT
cord-010715-91fob3ax	33	1	in	in	ADP
cord-010715-91fob3ax	33	2	this	this	DET
cord-010715-91fob3ax	33	3	paper	paper	NOUN
cord-010715-91fob3ax	33	4	,	,	PUNCT
cord-010715-91fob3ax	33	5	we	we	PRON
cord-010715-91fob3ax	33	6	consider	consider	VERB
cord-010715-91fob3ax	33	7	the	the	DET
cord-010715-91fob3ax	33	8	sir	sir	PROPN
cord-010715-91fob3ax	33	9	model	model	NOUN
cord-010715-91fob3ax	33	10	in	in	ADP
cord-010715-91fob3ax	33	11	networks	network	NOUN
cord-010715-91fob3ax	33	12	with	with	ADP
cord-010715-91fob3ax	33	13	multiple	multiple	ADJ
cord-010715-91fob3ax	33	14	seeds	seed	NOUN
cord-010715-91fob3ax	33	15	.	.	PUNCT
cord-010715-91fob3ax	34	1	in	in	ADP
cord-010715-91fob3ax	34	2	this	this	DET
cord-010715-91fob3ax	34	3	case	case	NOUN
cord-010715-91fob3ax	34	4	,	,	PUNCT
cord-010715-91fob3ax	34	5	the	the	DET
cord-010715-91fob3ax	34	6	sir	sir	PROPN
cord-010715-91fob3ax	34	7	model	model	NOUN
cord-010715-91fob3ax	34	8	exhibits	exhibit	VERB
cord-010715-91fob3ax	34	9	a	a	DET
cord-010715-91fob3ax	34	10	kind	kind	NOUN
cord-010715-91fob3ax	34	11	of	of	ADP
cord-010715-91fob3ax	34	12	percolation	percolation	NOUN
cord-010715-91fob3ax	34	13	transition	transition	NOUN
cord-010715-91fob3ax	34	14	.	.	PUNCT
cord-010715-91fob3ax	35	1	an	an	DET
cord-010715-91fob3ax	35	2	epidemic	epidemic	NOUN
cord-010715-91fob3ax	35	3	cluster	cluster	NOUN
cord-010715-91fob3ax	35	4	grows	grow	VERB
cord-010715-91fob3ax	35	5	from	from	ADP
cord-010715-91fob3ax	35	6	each	each	PRON
cord-010715-91fob3ax	35	7	of	of	ADP
cord-010715-91fob3ax	35	8	multiple	multiple	ADJ
cord-010715-91fob3ax	35	9	seeds	seed	NOUN
cord-010715-91fob3ax	35	10	.	.	PUNCT
cord-010715-91fob3ax	36	1	we	we	PRON
cord-010715-91fob3ax	36	2	regard	regard	VERB
cord-010715-91fob3ax	36	3	the	the	DET
cord-010715-91fob3ax	36	4	clusters	cluster	NOUN
cord-010715-91fob3ax	36	5	so	so	ADV
cord-010715-91fob3ax	36	6	generated	generate	VERB
cord-010715-91fob3ax	36	7	as	as	ADP
cord-010715-91fob3ax	36	8	supernodes	supernode	NOUN
cord-010715-91fob3ax	36	9	and	and	CCONJ
cord-010715-91fob3ax	36	10	study	study	VERB
cord-010715-91fob3ax	36	11	the	the	DET
cord-010715-91fob3ax	36	12	percolation	percolation	NOUN
cord-010715-91fob3ax	36	13	problem	problem	NOUN
cord-010715-91fob3ax	36	14	of	of	ADP
cord-010715-91fob3ax	36	15	these	these	DET
cord-010715-91fob3ax	36	16	supernodes	supernode	NOUN
cord-010715-91fob3ax	36	17	.	.	PUNCT
cord-010715-91fob3ax	37	1	indeed	indeed	ADV
cord-010715-91fob3ax	37	2	,	,	PUNCT
cord-010715-91fob3ax	37	3	we	we	PRON
cord-010715-91fob3ax	37	4	can	can	AUX
cord-010715-91fob3ax	37	5	analytically	analytically	ADV
cord-010715-91fob3ax	37	6	and	and	CCONJ
cord-010715-91fob3ax	37	7	numerically	numerically	ADV
cord-010715-91fob3ax	37	8	obtain	obtain	VERB
cord-010715-91fob3ax	37	9	the	the	DET
cord-010715-91fob3ax	37	10	percolation	percolation	NOUN
cord-010715-91fob3ax	37	11	transition	transition	NOUN
cord-010715-91fob3ax	37	12	point	point	NOUN
cord-010715-91fob3ax	37	13	of	of	ADP
cord-010715-91fob3ax	37	14	supernodes	supernode	NOUN
cord-010715-91fob3ax	37	15	to	to	PART
cord-010715-91fob3ax	37	16	show	show	VERB
cord-010715-91fob3ax	37	17	a	a	DET
cord-010715-91fob3ax	37	18	gap	gap	NOUN
cord-010715-91fob3ax	37	19	between	between	ADP
cord-010715-91fob3ax	37	20	this	this	DET
cord-010715-91fob3ax	37	21	transition	transition	NOUN
cord-010715-91fob3ax	37	22	point	point	NOUN
cord-010715-91fob3ax	37	23	and	and	CCONJ
cord-010715-91fob3ax	37	24	the	the	DET
cord-010715-91fob3ax	37	25	epidemic	epidemic	NOUN
cord-010715-91fob3ax	37	26	threshold	threshold	NOUN
cord-010715-91fob3ax	37	27	.	.	PUNCT
cord-010715-91fob3ax	38	1	the	the	DET
cord-010715-91fob3ax	38	2	existence	existence	NOUN
cord-010715-91fob3ax	38	3	of	of	ADP
cord-010715-91fob3ax	38	4	this	this	DET
cord-010715-91fob3ax	38	5	gap	gap	NOUN
cord-010715-91fob3ax	38	6	indicates	indicate	VERB
cord-010715-91fob3ax	38	7	that	that	SCONJ
cord-010715-91fob3ax	38	8	the	the	DET
cord-010715-91fob3ax	38	9	percolation	percolation	NOUN
cord-010715-91fob3ax	38	10	transition	transition	NOUN
cord-010715-91fob3ax	38	11	of	of	ADP
cord-010715-91fob3ax	38	12	epidemic	epidemic	NOUN
cord-010715-91fob3ax	38	13	clusters	cluster	NOUN
cord-010715-91fob3ax	38	14	occurs	occur	VERB
cord-010715-91fob3ax	38	15	before	before	SCONJ
cord-010715-91fob3ax	38	16	a	a	DET
cord-010715-91fob3ax	38	17	single	single	ADJ
cord-010715-91fob3ax	38	18	seed	seed	NOUN
cord-010715-91fob3ax	38	19	can	can	AUX
cord-010715-91fob3ax	38	20	induce	induce	VERB
cord-010715-91fob3ax	38	21	a	a	DET
cord-010715-91fob3ax	38	22	global	global	ADJ
cord-010715-91fob3ax	38	23	outbreak	outbreak	NOUN
cord-010715-91fob3ax	38	24	.	.	PUNCT
cord-010715-91fob3ax	39	1	our	our	PRON
cord-010715-91fob3ax	39	2	result	result	NOUN
cord-010715-91fob3ax	39	3	also	also	ADV
cord-010715-91fob3ax	39	4	shows	show	VERB
cord-010715-91fob3ax	39	5	the	the	DET
cord-010715-91fob3ax	39	6	sensitivity	sensitivity	NOUN
cord-010715-91fob3ax	39	7	of	of	ADP
cord-010715-91fob3ax	39	8	the	the	DET
cord-010715-91fob3ax	39	9	seed	seed	NOUN
cord-010715-91fob3ax	39	10	fraction	fraction	NOUN
cord-010715-91fob3ax	39	11	on	on	ADP
cord-010715-91fob3ax	39	12	percolation	percolation	NOUN
cord-010715-91fob3ax	39	13	transition	transition	NOUN
cord-010715-91fob3ax	39	14	points	point	NOUN
cord-010715-91fob3ax	39	15	,	,	PUNCT
cord-010715-91fob3ax	39	16	i.e.	i.e.	X
cord-010715-91fob3ax	39	17	,	,	PUNCT
cord-010715-91fob3ax	39	18	that	that	SCONJ
cord-010715-91fob3ax	39	19	a	a	DET
cord-010715-91fob3ax	39	20	small	small	ADJ
cord-010715-91fob3ax	39	21	seed	seed	NOUN
cord-010715-91fob3ax	39	22	fraction	fraction	NOUN
cord-010715-91fob3ax	39	23	drastically	drastically	ADV
cord-010715-91fob3ax	39	24	reduces	reduce	VERB
cord-010715-91fob3ax	39	25	the	the	DET
cord-010715-91fob3ax	39	26	critical	critical	ADJ
cord-010715-91fob3ax	39	27	infection	infection	NOUN
cord-010715-91fob3ax	39	28	rate	rate	NOUN
cord-010715-91fob3ax	39	29	for	for	ADP
cord-010715-91fob3ax	39	30	the	the	DET
cord-010715-91fob3ax	39	31	emergence	emergence	NOUN
cord-010715-91fob3ax	39	32	of	of	ADP
cord-010715-91fob3ax	39	33	the	the	DET
cord-010715-91fob3ax	39	34	infinite	infinite	ADJ
cord-010715-91fob3ax	39	35	epidemic	epidemic	NOUN
cord-010715-91fob3ax	39	36	cluster	cluster	NOUN
cord-010715-91fob3ax	39	37	.	.	PUNCT
cord-010715-91fob3ax	40	1	let	let	VERB
cord-010715-91fob3ax	40	2	us	we	PRON
cord-010715-91fob3ax	40	3	give	give	VERB
cord-010715-91fob3ax	40	4	a	a	DET
cord-010715-91fob3ax	40	5	brief	brief	ADJ
cord-010715-91fob3ax	40	6	review	review	NOUN
cord-010715-91fob3ax	40	7	of	of	ADP
cord-010715-91fob3ax	40	8	the	the	DET
cord-010715-91fob3ax	40	9	sir	sir	PROPN
cord-010715-91fob3ax	40	10	model	model	NOUN
cord-010715-91fob3ax	40	11	in	in	ADP
cord-010715-91fob3ax	40	12	a	a	DET
cord-010715-91fob3ax	40	13	given	give	VERB
cord-010715-91fob3ax	40	14	static	static	ADJ
cord-010715-91fob3ax	40	15	network	network	NOUN
cord-010715-91fob3ax	40	16	.	.	PUNCT
cord-010715-91fob3ax	41	1	each	each	DET
cord-010715-91fob3ax	41	2	node	node	NOUN
cord-010715-91fob3ax	41	3	in	in	ADP
cord-010715-91fob3ax	41	4	the	the	DET
cord-010715-91fob3ax	41	5	network	network	NOUN
cord-010715-91fob3ax	41	6	takes	take	VERB
cord-010715-91fob3ax	41	7	one	one	NUM
cord-010715-91fob3ax	41	8	of	of	ADP
cord-010715-91fob3ax	41	9	three	three	NUM
cord-010715-91fob3ax	41	10	states	state	NOUN
cord-010715-91fob3ax	41	11	:	:	PUNCT
cord-010715-91fob3ax	41	12	susceptible	susceptible	ADJ
cord-010715-91fob3ax	41	13	,	,	PUNCT
cord-010715-91fob3ax	41	14	infected	infect	VERB
cord-010715-91fob3ax	41	15	,	,	PUNCT
cord-010715-91fob3ax	41	16	and	and	CCONJ
cord-010715-91fob3ax	41	17	removed	remove	VERB
cord-010715-91fob3ax	41	18	.	.	PUNCT
cord-010715-91fob3ax	42	1	the	the	DET
cord-010715-91fob3ax	42	2	system	system	NOUN
cord-010715-91fob3ax	42	3	evolves	evolve	VERB
cord-010715-91fob3ax	42	4	as	as	ADP
cord-010715-91fob3ax	42	5	a	a	DET
cord-010715-91fob3ax	42	6	continuous	continuous	ADJ
cord-010715-91fob3ax	42	7	-	-	PUNCT
cord-010715-91fob3ax	42	8	time	time	NOUN
cord-010715-91fob3ax	42	9	markov	markov	NOUN
cord-010715-91fob3ax	42	10	process	process	NOUN
cord-010715-91fob3ax	42	11	.	.	PUNCT
cord-010715-91fob3ax	43	1	as	as	ADP
cord-010715-91fob3ax	43	2	an	an	DET
cord-010715-91fob3ax	43	3	initial	initial	ADJ
cord-010715-91fob3ax	43	4	-	-	PUNCT
cord-010715-91fob3ax	43	5	state	state	NOUN
cord-010715-91fob3ax	43	6	configuration	configuration	NOUN
cord-010715-91fob3ax	43	7	,	,	PUNCT
cord-010715-91fob3ax	43	8	a	a	DET
cord-010715-91fob3ax	43	9	fraction	fraction	NOUN
cord-010715-91fob3ax	43	10	,	,	PUNCT
cord-010715-91fob3ax	43	11	ρ	ρ	NUM
cord-010715-91fob3ax	43	12	,	,	PUNCT
cord-010715-91fob3ax	43	13	of	of	ADP
cord-010715-91fob3ax	43	14	the	the	DET
cord-010715-91fob3ax	43	15	nodes	node	NOUN
cord-010715-91fob3ax	43	16	is	be	AUX
cord-010715-91fob3ax	43	17	randomly	randomly	ADV
cord-010715-91fob3ax	43	18	chosen	choose	VERB
cord-010715-91fob3ax	43	19	to	to	PART
cord-010715-91fob3ax	43	20	be	be	AUX
cord-010715-91fob3ax	43	21	seeds	seed	NOUN
cord-010715-91fob3ax	43	22	and	and	CCONJ
cord-010715-91fob3ax	43	23	is	be	AUX
cord-010715-91fob3ax	43	24	initially	initially	ADV
cord-010715-91fob3ax	43	25	infected	infect	VERB
cord-010715-91fob3ax	43	26	,	,	PUNCT
cord-010715-91fob3ax	43	27	while	while	SCONJ
cord-010715-91fob3ax	43	28	other	other	ADJ
cord-010715-91fob3ax	43	29	nodes	node	NOUN
cord-010715-91fob3ax	43	30	are	be	AUX
cord-010715-91fob3ax	43	31	susceptible	susceptible	ADJ
cord-010715-91fob3ax	43	32	.	.	PUNCT
cord-010715-91fob3ax	44	1	the	the	DET
cord-010715-91fob3ax	44	2	infection	infection	NOUN
cord-010715-91fob3ax	44	3	rate	rate	NOUN
cord-010715-91fob3ax	44	4	is	be	AUX
cord-010715-91fob3ax	44	5	denoted	denote	VERB
cord-010715-91fob3ax	44	6	by	by	ADP
cord-010715-91fob3ax	44	7	λ	λ	PROPN
cord-010715-91fob3ax	44	8	.	.	PUNCT
cord-010715-91fob3ax	45	1	when	when	SCONJ
cord-010715-91fob3ax	45	2	an	an	DET
cord-010715-91fob3ax	45	3	infected	infected	ADJ
cord-010715-91fob3ax	45	4	node	node	NOUN
cord-010715-91fob3ax	45	5	is	be	AUX
cord-010715-91fob3ax	45	6	adjacent	adjacent	ADJ
cord-010715-91fob3ax	45	7	to	to	ADP
cord-010715-91fob3ax	45	8	a	a	DET
cord-010715-91fob3ax	45	9	susceptible	susceptible	ADJ
cord-010715-91fob3ax	45	10	node	node	NOUN
cord-010715-91fob3ax	45	11	,	,	PUNCT
cord-010715-91fob3ax	45	12	this	this	DET
cord-010715-91fob3ax	45	13	susceptible	susceptible	ADJ
cord-010715-91fob3ax	45	14	node	node	NOUN
cord-010715-91fob3ax	45	15	gets	get	AUX
cord-010715-91fob3ax	45	16	infected	infect	VERB
cord-010715-91fob3ax	45	17	with	with	ADP
cord-010715-91fob3ax	45	18	probability	probability	NOUN
cord-010715-91fob3ax	45	19	λ	λ	PROPN
cord-010715-91fob3ax	45	20	t	t	NOUN
cord-010715-91fob3ax	45	21	within	within	ADP
cord-010715-91fob3ax	45	22	a	a	DET
cord-010715-91fob3ax	45	23	short	short	ADJ
cord-010715-91fob3ax	45	24	time	time	NOUN
cord-010715-91fob3ax	45	25	,	,	PUNCT
cord-010715-91fob3ax	45	26	t.	t.	PROPN
cord-010715-91fob3ax	45	27	note	note	VERB
cord-010715-91fob3ax	45	28	that	that	SCONJ
cord-010715-91fob3ax	45	29	this	this	DET
cord-010715-91fob3ax	45	30	probability	probability	NOUN
cord-010715-91fob3ax	45	31	is	be	AUX
cord-010715-91fob3ax	45	32	independently	independently	ADV
cord-010715-91fob3ax	45	33	given	give	VERB
cord-010715-91fob3ax	45	34	by	by	ADP
cord-010715-91fob3ax	45	35	each	each	PRON
cord-010715-91fob3ax	45	36	of	of	ADP
cord-010715-91fob3ax	45	37	the	the	DET
cord-010715-91fob3ax	45	38	infected	infect	VERB
cord-010715-91fob3ax	45	39	nodes	node	NOUN
cord-010715-91fob3ax	45	40	so	so	SCONJ
cord-010715-91fob3ax	45	41	that	that	SCONJ
cord-010715-91fob3ax	45	42	the	the	DET
cord-010715-91fob3ax	45	43	total	total	ADJ
cord-010715-91fob3ax	45	44	infection	infection	NOUN
cord-010715-91fob3ax	45	45	rate	rate	NOUN
cord-010715-91fob3ax	45	46	at	at	ADP
cord-010715-91fob3ax	45	47	a	a	DET
cord-010715-91fob3ax	45	48	node	node	NOUN
cord-010715-91fob3ax	45	49	is	be	AUX
cord-010715-91fob3ax	45	50	just	just	ADV
cord-010715-91fob3ax	45	51	proportional	proportional	ADJ
cord-010715-91fob3ax	45	52	to	to	ADP
cord-010715-91fob3ax	45	53	the	the	DET
cord-010715-91fob3ax	45	54	number	number	NOUN
cord-010715-91fob3ax	45	55	of	of	ADP
cord-010715-91fob3ax	45	56	infected	infected	ADJ
cord-010715-91fob3ax	45	57	neighbors	neighbor	NOUN
cord-010715-91fob3ax	45	58	.	.	PUNCT
cord-010715-91fob3ax	46	1	an	an	DET
cord-010715-91fob3ax	46	2	infected	infected	ADJ
cord-010715-91fob3ax	46	3	node	node	NOUN
cord-010715-91fob3ax	46	4	becomes	becomes	AUX
cord-010715-91fob3ax	46	5	removed	remove	VERB
cord-010715-91fob3ax	46	6	at	at	ADP
cord-010715-91fob3ax	46	7	a	a	DET
cord-010715-91fob3ax	46	8	rate	rate	NOUN
cord-010715-91fob3ax	46	9	μ	μ	NOUN
cord-010715-91fob3ax	46	10	,	,	PUNCT
cord-010715-91fob3ax	46	11	i.e.	i.e.	ADV
cord-010715-91fob3ax	46	12	,	,	PUNCT
cord-010715-91fob3ax	46	13	with	with	ADP
cord-010715-91fob3ax	46	14	probability	probability	NOUN
cord-010715-91fob3ax	46	15	μ	μ	NOUN
cord-010715-91fob3ax	46	16	t	t	NOUN
cord-010715-91fob3ax	46	17	within	within	ADP
cord-010715-91fob3ax	46	18	a	a	DET
cord-010715-91fob3ax	46	19	short	short	ADJ
cord-010715-91fob3ax	46	20	time	time	NOUN
cord-010715-91fob3ax	46	21	t	t	NOUN
cord-010715-91fob3ax	46	22	,	,	PUNCT
cord-010715-91fob3ax	46	23	irrespective	irrespective	ADV
cord-010715-91fob3ax	46	24	of	of	ADP
cord-010715-91fob3ax	46	25	the	the	DET
cord-010715-91fob3ax	46	26	neighbors	neighbor	NOUN
cord-010715-91fob3ax	46	27	'	'	PART
cord-010715-91fob3ax	46	28	states	state	NOUN
cord-010715-91fob3ax	46	29	.	.	PUNCT
cord-010715-91fob3ax	47	1	without	without	ADP
cord-010715-91fob3ax	47	2	loss	loss	NOUN
cord-010715-91fob3ax	47	3	of	of	ADP
cord-010715-91fob3ax	47	4	generality	generality	NOUN
cord-010715-91fob3ax	47	5	,	,	PUNCT
cord-010715-91fob3ax	47	6	we	we	PRON
cord-010715-91fob3ax	47	7	set	set	VERB
cord-010715-91fob3ax	47	8	μ	μ	NOUN
cord-010715-91fob3ax	47	9	=	=	NOUN
cord-010715-91fob3ax	47	10	1	1	NUM
cord-010715-91fob3ax	47	11	unless	unless	SCONJ
cord-010715-91fob3ax	47	12	otherwise	otherwise	ADV
cord-010715-91fob3ax	47	13	specified	specify	VERB
cord-010715-91fob3ax	47	14	.	.	PUNCT
cord-010715-91fob3ax	48	1	the	the	DET
cord-010715-91fob3ax	48	2	dynamics	dynamic	NOUN
cord-010715-91fob3ax	48	3	stops	stop	VERB
cord-010715-91fob3ax	48	4	when	when	SCONJ
cord-010715-91fob3ax	48	5	no	no	DET
cord-010715-91fob3ax	48	6	infected	infect	VERB
cord-010715-91fob3ax	48	7	nodes	node	NOUN
cord-010715-91fob3ax	48	8	exist	exist	VERB
cord-010715-91fob3ax	48	9	in	in	ADP
cord-010715-91fob3ax	48	10	the	the	DET
cord-010715-91fob3ax	48	11	network	network	NOUN
cord-010715-91fob3ax	48	12	.	.	PUNCT
cord-010715-91fob3ax	49	1	let	let	VERB
cord-010715-91fob3ax	49	2	us	we	PRON
cord-010715-91fob3ax	49	3	consider	consider	VERB
cord-010715-91fob3ax	49	4	the	the	DET
cord-010715-91fob3ax	49	5	limit	limit	NOUN
cord-010715-91fob3ax	49	6	ρ	ρ	NOUN
cord-010715-91fob3ax	49	7	→	→	ADP
cord-010715-91fob3ax	49	8	0	0	NUM
cord-010715-91fob3ax	49	9	.	.	PUNCT
cord-010715-91fob3ax	50	1	the	the	DET
cord-010715-91fob3ax	50	2	sir	sir	PROPN
cord-010715-91fob3ax	50	3	model	model	NOUN
cord-010715-91fob3ax	50	4	exhibits	exhibit	VERB
cord-010715-91fob3ax	50	5	a	a	DET
cord-010715-91fob3ax	50	6	phase	phase	NOUN
cord-010715-91fob3ax	50	7	transition	transition	NOUN
cord-010715-91fob3ax	50	8	at	at	ADP
cord-010715-91fob3ax	50	9	the	the	DET
cord-010715-91fob3ax	50	10	epidemic	epidemic	NOUN
cord-010715-91fob3ax	50	11	threshold	threshold	NOUN
cord-010715-91fob3ax	51	1	λ	λ	PROPN
cord-010715-91fob3ax	51	2	=	=	X
cord-010715-91fob3ax	51	3	λ	λ	PROPN
cord-010715-91fob3ax	51	4	sir	sir	PROPN
cord-010715-91fob3ax	51	5	c	c	PROPN
cord-010715-91fob3ax	52	1	when	when	SCONJ
cord-010715-91fob3ax	52	2	λ	λ	PROPN
cord-010715-91fob3ax	52	3	increases	increase	VERB
cord-010715-91fob3ax	52	4	from	from	ADP
cord-010715-91fob3ax	52	5	0	0	NUM
cord-010715-91fob3ax	52	6	.	.	PUNCT
cord-010715-91fob3ax	53	1	above	above	ADP
cord-010715-91fob3ax	53	2	λ	λ	PROPN
cord-010715-91fob3ax	54	1	sir	sir	PROPN
cord-010715-91fob3ax	54	2	c	c	PROPN
cord-010715-91fob3ax	54	3	,	,	PUNCT
cord-010715-91fob3ax	54	4	a	a	DET
cord-010715-91fob3ax	54	5	single	single	ADJ
cord-010715-91fob3ax	54	6	seed	seed	NOUN
cord-010715-91fob3ax	54	7	can	can	AUX
cord-010715-91fob3ax	54	8	induce	induce	VERB
cord-010715-91fob3ax	54	9	global	global	ADJ
cord-010715-91fob3ax	54	10	outbreaks	outbreak	NOUN
cord-010715-91fob3ax	54	11	.	.	PUNCT
cord-010715-91fob3ax	55	1	in	in	ADP
cord-010715-91fob3ax	55	2	a	a	DET
cord-010715-91fob3ax	55	3	global	global	ADJ
cord-010715-91fob3ax	55	4	outbreak	outbreak	NOUN
cord-010715-91fob3ax	55	5	,	,	PUNCT
cord-010715-91fob3ax	55	6	a	a	DET
cord-010715-91fob3ax	55	7	nonzero	nonzero	NOUN
cord-010715-91fob3ax	55	8	fraction	fraction	NOUN
cord-010715-91fob3ax	55	9	of	of	ADP
cord-010715-91fob3ax	55	10	nodes	node	NOUN
cord-010715-91fob3ax	55	11	become	become	VERB
cord-010715-91fob3ax	55	12	infected	infected	ADJ
cord-010715-91fob3ax	55	13	and	and	CCONJ
cord-010715-91fob3ax	55	14	eventually	eventually	ADV
cord-010715-91fob3ax	55	15	removed	remove	VERB
cord-010715-91fob3ax	55	16	.	.	PUNCT
cord-010715-91fob3ax	56	1	below	below	ADP
cord-010715-91fob3ax	56	2	λ	λ	PROPN
cord-010715-91fob3ax	56	3	sir	sir	PROPN
cord-010715-91fob3ax	56	4	c	c	PROPN
cord-010715-91fob3ax	56	5	,	,	PUNCT
cord-010715-91fob3ax	56	6	the	the	DET
cord-010715-91fob3ax	56	7	number	number	NOUN
cord-010715-91fob3ax	56	8	of	of	ADP
cord-010715-91fob3ax	56	9	removed	remove	VERB
cord-010715-91fob3ax	56	10	nodes	node	NOUN
cord-010715-91fob3ax	56	11	is	be	AUX
cord-010715-91fob3ax	56	12	always	always	ADV
cord-010715-91fob3ax	56	13	negligible	negligible	ADJ
cord-010715-91fob3ax	56	14	compared	compare	VERB
cord-010715-91fob3ax	56	15	with	with	ADP
cord-010715-91fob3ax	56	16	the	the	DET
cord-010715-91fob3ax	56	17	total	total	ADJ
cord-010715-91fob3ax	56	18	number	number	NOUN
cord-010715-91fob3ax	56	19	of	of	ADP
cord-010715-91fob3ax	56	20	nodes	node	NOUN
cord-010715-91fob3ax	56	21	.	.	PUNCT
cord-010715-91fob3ax	57	1	as	as	SCONJ
cord-010715-91fob3ax	57	2	already	already	ADV
cord-010715-91fob3ax	57	3	mentioned	mention	VERB
cord-010715-91fob3ax	57	4	,	,	PUNCT
cord-010715-91fob3ax	57	5	we	we	PRON
cord-010715-91fob3ax	57	6	have	have	VERB
cord-010715-91fob3ax	57	7	several	several	ADJ
cord-010715-91fob3ax	57	8	approaches	approach	NOUN
cord-010715-91fob3ax	57	9	for	for	ADP
cord-010715-91fob3ax	57	10	obtaining	obtain	VERB
cord-010715-91fob3ax	57	11	λ	λ	PROPN
cord-010715-91fob3ax	57	12	sir	sir	PROPN
cord-010715-91fob3ax	57	13	c	c	PUNCT
cord-010715-91fob3ax	58	1	(	(	PUNCT
cord-010715-91fob3ax	58	2	see	see	VERB
cord-010715-91fob3ax	58	3	the	the	DET
cord-010715-91fob3ax	58	4	recent	recent	ADJ
cord-010715-91fob3ax	58	5	review	review	NOUN
cord-010715-91fob3ax	58	6	[	[	X
cord-010715-91fob3ax	58	7	3	3	NUM
cord-010715-91fob3ax	58	8	]	]	PUNCT
cord-010715-91fob3ax	58	9	)	)	PUNCT
cord-010715-91fob3ax	58	10	;	;	PUNCT
cord-010715-91fob3ax	58	11	newman	newman	PROPN
cord-010715-91fob3ax	58	12	approximated	approximate	VERB
cord-010715-91fob3ax	58	13	the	the	DET
cord-010715-91fob3ax	58	14	sir	sir	PROPN
cord-010715-91fob3ax	58	15	model	model	NOUN
cord-010715-91fob3ax	58	16	in	in	ADP
cord-010715-91fob3ax	58	17	uncorrelated	uncorrelated	ADJ
cord-010715-91fob3ax	58	18	networks	network	NOUN
cord-010715-91fob3ax	58	19	by	by	ADP
cord-010715-91fob3ax	58	20	mapping	map	VERB
cord-010715-91fob3ax	58	21	onto	onto	ADP
cord-010715-91fob3ax	58	22	a	a	DET
cord-010715-91fob3ax	58	23	bond	bond	NOUN
cord-010715-91fob3ax	58	24	percolation	percolation	NOUN
cord-010715-91fob3ax	58	25	problem	problem	NOUN
cord-010715-91fob3ax	58	26	(	(	PUNCT
cord-010715-91fob3ax	58	27	which	which	PRON
cord-010715-91fob3ax	58	28	is	be	AUX
cord-010715-91fob3ax	58	29	called	call	VERB
cord-010715-91fob3ax	58	30	the	the	DET
cord-010715-91fob3ax	58	31	sir	sir	NOUN
cord-010715-91fob3ax	58	32	model	model	NOUN
cord-010715-91fob3ax	58	33	with	with	ADP
cord-010715-91fob3ax	58	34	transmissibility	transmissibility	NOUN
cord-010715-91fob3ax	58	35	)	)	PUNCT
cord-010715-91fob3ax	59	1	[	[	X
cord-010715-91fob3ax	59	2	10	10	NUM
cord-010715-91fob3ax	59	3	]	]	PUNCT
cord-010715-91fob3ax	59	4	and	and	CCONJ
cord-010715-91fob3ax	59	5	derived	derive	VERB
cord-010715-91fob3ax	59	6	λ	λ	PROPN
cord-010715-91fob3ax	59	7	sir	sir	NOUN
cord-010715-91fob3ax	59	8	where	where	SCONJ
cord-010715-91fob3ax	59	9	k	k	PROPN
cord-010715-91fob3ax	59	10	and	and	CCONJ
cord-010715-91fob3ax	59	11	k	k	PROPN
cord-010715-91fob3ax	59	12	2	2	NUM
cord-010715-91fob3ax	59	13	are	be	AUX
cord-010715-91fob3ax	59	14	the	the	DET
cord-010715-91fob3ax	59	15	first	first	ADJ
cord-010715-91fob3ax	59	16	and	and	CCONJ
cord-010715-91fob3ax	59	17	the	the	DET
cord-010715-91fob3ax	59	18	second	second	ADJ
cord-010715-91fob3ax	59	19	moments	moment	NOUN
cord-010715-91fob3ax	59	20	of	of	ADP
cord-010715-91fob3ax	59	21	the	the	DET
cord-010715-91fob3ax	59	22	degree	degree	NOUN
cord-010715-91fob3ax	59	23	distribution	distribution	NOUN
cord-010715-91fob3ax	59	24	,	,	PUNCT
cord-010715-91fob3ax	59	25	p	p	PROPN
cord-010715-91fob3ax	59	26	k	k	PROPN
cord-010715-91fob3ax	59	27	,	,	PUNCT
cord-010715-91fob3ax	59	28	respectively	respectively	ADV
cord-010715-91fob3ax	59	29	[	[	X
cord-010715-91fob3ax	59	30	24	24	NUM
cord-010715-91fob3ax	59	31	]	]	PUNCT
cord-010715-91fob3ax	59	32	.	.	PUNCT
cord-010715-91fob3ax	60	1	this	this	DET
cord-010715-91fob3ax	60	2	result	result	NOUN
cord-010715-91fob3ax	60	3	indicates	indicate	VERB
cord-010715-91fob3ax	60	4	that	that	SCONJ
cord-010715-91fob3ax	60	5	,	,	PUNCT
cord-010715-91fob3ax	60	6	for	for	ADP
cord-010715-91fob3ax	60	7	a	a	DET
cord-010715-91fob3ax	60	8	fat	fat	ADJ
cord-010715-91fob3ax	60	9	-	-	PUNCT
cord-010715-91fob3ax	60	10	tailed	tail	VERB
cord-010715-91fob3ax	60	11	scale	scale	NOUN
cord-010715-91fob3ax	60	12	-	-	PUNCT
cord-010715-91fob3ax	60	13	free	free	ADJ
cord-010715-91fob3ax	60	14	network	network	NOUN
cord-010715-91fob3ax	60	15	whose	whose	DET
cord-010715-91fob3ax	60	16	degree	degree	NOUN
cord-010715-91fob3ax	60	17	distribution	distribution	NOUN
cord-010715-91fob3ax	60	18	obeys	obey	VERB
cord-010715-91fob3ax	60	19	p	p	PROPN
cord-010715-91fob3ax	60	20	k	k	PROPN
cord-010715-91fob3ax	60	21	∝	∝	ADV
cord-010715-91fob3ax	60	22	k	k	PROPN
cord-010715-91fob3ax	60	23	−γ	−γ	ADV
cord-010715-91fob3ax	60	24	with	with	ADP
cord-010715-91fob3ax	60	25	γ	γ	PROPN
cord-010715-91fob3ax	60	26	3	3	NUM
cord-010715-91fob3ax	60	27	,	,	PUNCT
cord-010715-91fob3ax	60	28	a	a	DET
cord-010715-91fob3ax	60	29	global	global	ADJ
cord-010715-91fob3ax	60	30	outbreak	outbreak	NOUN
cord-010715-91fob3ax	60	31	starting	start	VERB
cord-010715-91fob3ax	60	32	from	from	ADP
cord-010715-91fob3ax	60	33	an	an	DET
cord-010715-91fob3ax	60	34	infinitesimal	infinitesimal	ADJ
cord-010715-91fob3ax	60	35	fraction	fraction	NOUN
cord-010715-91fob3ax	60	36	of	of	ADP
cord-010715-91fob3ax	60	37	seeds	seed	NOUN
cord-010715-91fob3ax	60	38	occurs	occur	VERB
cord-010715-91fob3ax	60	39	even	even	ADV
cord-010715-91fob3ax	60	40	for	for	ADP
cord-010715-91fob3ax	60	41	an	an	DET
cord-010715-91fob3ax	60	42	infinitesimal	infinitesimal	ADJ
cord-010715-91fob3ax	60	43	infection	infection	NOUN
cord-010715-91fob3ax	60	44	rate	rate	NOUN
cord-010715-91fob3ax	60	45	.	.	PUNCT
cord-010715-91fob3ax	61	1	as	as	SCONJ
cord-010715-91fob3ax	61	2	indicated	indicate	VERB
cord-010715-91fob3ax	61	3	in	in	ADP
cord-010715-91fob3ax	61	4	[	[	SYM
cord-010715-91fob3ax	61	5	25	25	NUM
cord-010715-91fob3ax	61	6	]	]	PUNCT
cord-010715-91fob3ax	61	7	,	,	PUNCT
cord-010715-91fob3ax	61	8	mapping	map	VERB
cord-010715-91fob3ax	61	9	onto	onto	ADP
cord-010715-91fob3ax	61	10	a	a	DET
cord-010715-91fob3ax	61	11	bond	bond	NOUN
cord-010715-91fob3ax	61	12	percolation	percolation	NOUN
cord-010715-91fob3ax	61	13	problem	problem	NOUN
cord-010715-91fob3ax	61	14	does	do	AUX
cord-010715-91fob3ax	61	15	not	not	PART
cord-010715-91fob3ax	61	16	give	give	VERB
cord-010715-91fob3ax	61	17	the	the	DET
cord-010715-91fob3ax	61	18	exact	exact	ADJ
cord-010715-91fob3ax	61	19	outbreak	outbreak	NOUN
cord-010715-91fob3ax	61	20	size	size	NOUN
cord-010715-91fob3ax	61	21	or	or	CCONJ
cord-010715-91fob3ax	61	22	probability	probability	NOUN
cord-010715-91fob3ax	61	23	,	,	PUNCT
cord-010715-91fob3ax	61	24	but	but	CCONJ
cord-010715-91fob3ax	61	25	it	it	PRON
cord-010715-91fob3ax	61	26	does	do	AUX
cord-010715-91fob3ax	61	27	predict	predict	VERB
cord-010715-91fob3ax	61	28	exactly	exactly	ADV
cord-010715-91fob3ax	61	29	the	the	DET
cord-010715-91fob3ax	61	30	epidemic	epidemic	NOUN
cord-010715-91fob3ax	61	31	threshold	threshold	NOUN
cord-010715-91fob3ax	61	32	.	.	PUNCT
cord-010715-91fob3ax	62	1	lindquist	lindquist	PROPN
cord-010715-91fob3ax	62	2	et	et	PROPN
cord-010715-91fob3ax	62	3	al	al	PROPN
cord-010715-91fob3ax	62	4	.	.	PUNCT
cord-010715-91fob3ax	63	1	[	[	X
cord-010715-91fob3ax	63	2	12	12	NUM
cord-010715-91fob3ax	63	3	]	]	PUNCT
cord-010715-91fob3ax	63	4	proposed	propose	VERB
cord-010715-91fob3ax	63	5	an	an	DET
cord-010715-91fob3ax	63	6	effective	effective	ADJ
cord-010715-91fob3ax	63	7	degree	degree	NOUN
cord-010715-91fob3ax	63	8	approach	approach	NOUN
cord-010715-91fob3ax	63	9	for	for	ADP
cord-010715-91fob3ax	63	10	describing	describe	VERB
cord-010715-91fob3ax	63	11	the	the	DET
cord-010715-91fob3ax	63	12	time	time	NOUN
cord-010715-91fob3ax	63	13	evolution	evolution	NOUN
cord-010715-91fob3ax	63	14	of	of	ADP
cord-010715-91fob3ax	63	15	the	the	DET
cord-010715-91fob3ax	63	16	sir	sir	PROPN
cord-010715-91fob3ax	63	17	dynamics	dynamic	NOUN
cord-010715-91fob3ax	63	18	using	use	VERB
cord-010715-91fob3ax	63	19	numerous	numerous	ADJ
cord-010715-91fob3ax	63	20	ordinary	ordinary	ADJ
cord-010715-91fob3ax	63	21	differential	differential	ADJ
cord-010715-91fob3ax	63	22	equations	equation	NOUN
cord-010715-91fob3ax	63	23	and	and	CCONJ
cord-010715-91fob3ax	63	24	derived	derive	VERB
cord-010715-91fob3ax	63	25	the	the	DET
cord-010715-91fob3ax	63	26	same	same	ADJ
cord-010715-91fob3ax	63	27	epidemic	epidemic	NOUN
cord-010715-91fob3ax	63	28	threshold	threshold	NOUN
cord-010715-91fob3ax	63	29	,	,	PUNCT
cord-010715-91fob3ax	63	30	(	(	PUNCT
cord-010715-91fob3ax	63	31	1	1	NUM
cord-010715-91fob3ax	63	32	)	)	PUNCT
cord-010715-91fob3ax	63	33	.	.	PUNCT
cord-010715-91fob3ax	64	1	miller	miller	PROPN
cord-010715-91fob3ax	65	1	[	[	X
cord-010715-91fob3ax	65	2	11	11	NUM
cord-010715-91fob3ax	65	3	]	]	PUNCT
cord-010715-91fob3ax	65	4	introduced	introduce	VERB
cord-010715-91fob3ax	65	5	another	another	DET
cord-010715-91fob3ax	65	6	approach	approach	NOUN
cord-010715-91fob3ax	65	7	by	by	ADP
cord-010715-91fob3ax	65	8	means	mean	NOUN
cord-010715-91fob3ax	65	9	of	of	ADP
cord-010715-91fob3ax	65	10	the	the	DET
cord-010715-91fob3ax	65	11	edge	edge	NOUN
cord-010715-91fob3ax	65	12	-	-	PUNCT
cord-010715-91fob3ax	65	13	based	base	VERB
cord-010715-91fob3ax	65	14	compartment	compartment	NOUN
cord-010715-91fob3ax	65	15	model	model	NOUN
cord-010715-91fob3ax	65	16	to	to	PART
cord-010715-91fob3ax	65	17	enable	enable	VERB
cord-010715-91fob3ax	65	18	accurate	accurate	ADJ
cord-010715-91fob3ax	65	19	descriptions	description	NOUN
cord-010715-91fob3ax	65	20	of	of	ADP
cord-010715-91fob3ax	65	21	the	the	DET
cord-010715-91fob3ax	65	22	sir	sir	PROPN
cord-010715-91fob3ax	65	23	dynamics	dynamic	NOUN
cord-010715-91fob3ax	65	24	accurately	accurately	ADV
cord-010715-91fob3ax	65	25	with	with	ADP
cord-010715-91fob3ax	65	26	a	a	DET
cord-010715-91fob3ax	65	27	few	few	ADJ
cord-010715-91fob3ax	65	28	rate	rate	NOUN
cord-010715-91fob3ax	65	29	equations	equation	NOUN
cord-010715-91fob3ax	65	30	.	.	PUNCT
cord-010715-91fob3ax	66	1	we	we	PRON
cord-010715-91fob3ax	66	2	can	can	AUX
cord-010715-91fob3ax	66	3	also	also	ADV
cord-010715-91fob3ax	66	4	describe	describe	VERB
cord-010715-91fob3ax	66	5	the	the	DET
cord-010715-91fob3ax	66	6	phase	phase	NOUN
cord-010715-91fob3ax	66	7	transition	transition	NOUN
cord-010715-91fob3ax	66	8	of	of	ADP
cord-010715-91fob3ax	66	9	the	the	DET
cord-010715-91fob3ax	66	10	present	present	ADJ
cord-010715-91fob3ax	66	11	model	model	NOUN
cord-010715-91fob3ax	66	12	in	in	ADP
cord-010715-91fob3ax	66	13	terms	term	NOUN
cord-010715-91fob3ax	66	14	of	of	ADP
cord-010715-91fob3ax	66	15	percolation	percolation	NOUN
cord-010715-91fob3ax	66	16	.	.	PUNCT
cord-010715-91fob3ax	67	1	in	in	ADP
cord-010715-91fob3ax	67	2	any	any	DET
cord-010715-91fob3ax	67	3	final	final	ADJ
cord-010715-91fob3ax	67	4	state	state	NOUN
cord-010715-91fob3ax	67	5	,	,	PUNCT
cord-010715-91fob3ax	67	6	each	each	DET
cord-010715-91fob3ax	67	7	node	node	NOUN
cord-010715-91fob3ax	67	8	takes	take	VERB
cord-010715-91fob3ax	67	9	either	either	CCONJ
cord-010715-91fob3ax	67	10	a	a	DET
cord-010715-91fob3ax	67	11	susceptible	susceptible	ADJ
cord-010715-91fob3ax	67	12	or	or	CCONJ
cord-010715-91fob3ax	67	13	a	a	DET
cord-010715-91fob3ax	67	14	removed	remove	VERB
cord-010715-91fob3ax	67	15	state	state	NOUN
cord-010715-91fob3ax	67	16	.	.	PUNCT
cord-010715-91fob3ax	68	1	we	we	PRON
cord-010715-91fob3ax	68	2	call	call	VERB
cord-010715-91fob3ax	68	3	the	the	DET
cord-010715-91fob3ax	68	4	connected	connect	VERB
cord-010715-91fob3ax	68	5	components	component	NOUN
cord-010715-91fob3ax	68	6	of	of	ADP
cord-010715-91fob3ax	68	7	removed	remove	VERB
cord-010715-91fob3ax	68	8	nodes	node	NOUN
cord-010715-91fob3ax	68	9	and	and	CCONJ
cord-010715-91fob3ax	68	10	susceptible	susceptible	ADJ
cord-010715-91fob3ax	68	11	nodes	node	NOUN
cord-010715-91fob3ax	68	12	the	the	DET
cord-010715-91fob3ax	68	13	r	r	NOUN
cord-010715-91fob3ax	68	14	components	component	NOUN
cord-010715-91fob3ax	68	15	and	and	CCONJ
cord-010715-91fob3ax	68	16	the	the	DET
cord-010715-91fob3ax	68	17	s	s	NOUN
cord-010715-91fob3ax	68	18	components	component	NOUN
cord-010715-91fob3ax	68	19	,	,	PUNCT
cord-010715-91fob3ax	68	20	respectively	respectively	ADV
cord-010715-91fob3ax	68	21	.	.	PUNCT
cord-010715-91fob3ax	69	1	for	for	ADP
cord-010715-91fob3ax	69	2	the	the	DET
cord-010715-91fob3ax	69	3	sir	sir	PROPN
cord-010715-91fob3ax	69	4	model	model	NOUN
cord-010715-91fob3ax	69	5	in	in	ADP
cord-010715-91fob3ax	69	6	networks	network	NOUN
cord-010715-91fob3ax	69	7	with	with	ADP
cord-010715-91fob3ax	69	8	ρ	ρ	NUM
cord-010715-91fob3ax	69	9	0	0	NUM
cord-010715-91fob3ax	69	10	,	,	PUNCT
cord-010715-91fob3ax	69	11	we	we	PRON
cord-010715-91fob3ax	69	12	have	have	VERB
cord-010715-91fob3ax	69	13	two	two	NUM
cord-010715-91fob3ax	69	14	percolation	percolation	NOUN
cord-010715-91fob3ax	69	15	transition	transition	NOUN
cord-010715-91fob3ax	69	16	points	point	NOUN
cord-010715-91fob3ax	69	17	,	,	PUNCT
cord-010715-91fob3ax	69	18	λ	λ	PROPN
cord-010715-91fob3ax	69	19	c1	c1	PROPN
cord-010715-91fob3ax	69	20	and	and	CCONJ
cord-010715-91fob3ax	69	21	λ	λ	PROPN
cord-010715-91fob3ax	69	22	c2	c2	PROPN
cord-010715-91fob3ax	69	23	.	.	PUNCT
cord-010715-91fob3ax	70	1	when	when	SCONJ
cord-010715-91fob3ax	70	2	the	the	DET
cord-010715-91fob3ax	70	3	number	number	NOUN
cord-010715-91fob3ax	70	4	of	of	ADP
cord-010715-91fob3ax	70	5	nodes	node	NOUN
cord-010715-91fob3ax	70	6	,	,	PUNCT
cord-010715-91fob3ax	70	7	n	n	ADV
cord-010715-91fob3ax	70	8	,	,	PUNCT
cord-010715-91fob3ax	70	9	is	be	AUX
cord-010715-91fob3ax	70	10	much	much	ADV
cord-010715-91fob3ax	70	11	greater	great	ADJ
cord-010715-91fob3ax	70	12	than	than	ADP
cord-010715-91fob3ax	70	13	1	1	NUM
cord-010715-91fob3ax	70	14	,	,	PUNCT
cord-010715-91fob3ax	70	15	the	the	DET
cord-010715-91fob3ax	70	16	mean	mean	ADJ
cord-010715-91fob3ax	70	17	fraction	fraction	NOUN
cord-010715-91fob3ax	70	18	of	of	ADP
cord-010715-91fob3ax	70	19	the	the	DET
cord-010715-91fob3ax	70	20	largest	large	ADJ
cord-010715-91fob3ax	70	21	r	r	NOUN
cord-010715-91fob3ax	70	22	component	component	NOUN
cord-010715-91fob3ax	70	23	,	,	PUNCT
cord-010715-91fob3ax	70	24	r	r	NOUN
cord-010715-91fob3ax	70	25	max	max	PROPN
cord-010715-91fob3ax	70	26	(	(	PUNCT
cord-010715-91fob3ax	70	27	n	n	NOUN
cord-010715-91fob3ax	70	28	)	)	PUNCT
cord-010715-91fob3ax	70	29	=	=	NOUN
cord-010715-91fob3ax	70	30	r	r	X
cord-010715-91fob3ax	70	31	max	max	PROPN
cord-010715-91fob3ax	70	32	(	(	PUNCT
cord-010715-91fob3ax	70	33	n)/n	n)/n	PROPN
cord-010715-91fob3ax	70	34	,	,	PUNCT
cord-010715-91fob3ax	70	35	where	where	SCONJ
cord-010715-91fob3ax	70	36	r	r	PROPN
cord-010715-91fob3ax	70	37	max	max	PROPN
cord-010715-91fob3ax	70	38	(	(	PUNCT
cord-010715-91fob3ax	70	39	n	n	NOUN
cord-010715-91fob3ax	70	40	)	)	PUNCT
cord-010715-91fob3ax	70	41	is	be	AUX
cord-010715-91fob3ax	70	42	the	the	DET
cord-010715-91fob3ax	70	43	mean	mean	ADJ
cord-010715-91fob3ax	70	44	size	size	NOUN
cord-010715-91fob3ax	70	45	of	of	ADP
cord-010715-91fob3ax	70	46	the	the	DET
cord-010715-91fob3ax	70	47	largest	large	ADJ
cord-010715-91fob3ax	70	48	r	r	NOUN
cord-010715-91fob3ax	70	49	component	component	NOUN
cord-010715-91fob3ax	70	50	,	,	PUNCT
cord-010715-91fob3ax	70	51	changes	change	NOUN
cord-010715-91fob3ax	70	52	from	from	ADP
cord-010715-91fob3ax	70	53	0	0	NUM
cord-010715-91fob3ax	70	54	to	to	ADP
cord-010715-91fob3ax	70	55	a	a	DET
cord-010715-91fob3ax	70	56	nonzero	nonzero	NOUN
cord-010715-91fob3ax	70	57	value	value	NOUN
cord-010715-91fob3ax	70	58	at	at	ADP
cord-010715-91fob3ax	70	59	the	the	DET
cord-010715-91fob3ax	70	60	former	former	ADJ
cord-010715-91fob3ax	70	61	point	point	NOUN
cord-010715-91fob3ax	70	62	λ	λ	PROPN
cord-010715-91fob3ax	70	63	c1	c1	PROPN
cord-010715-91fob3ax	70	64	.	.	PUNCT
cord-010715-91fob3ax	71	1	note	note	VERB
cord-010715-91fob3ax	71	2	that	that	SCONJ
cord-010715-91fob3ax	71	3	λ	λ	PROPN
cord-010715-91fob3ax	71	4	c1	c1	PROPN
cord-010715-91fob3ax	71	5	corresponds	correspond	VERB
cord-010715-91fob3ax	71	6	to	to	ADP
cord-010715-91fob3ax	71	7	λ	λ	PROPN
cord-010715-91fob3ax	71	8	sir	sir	PROPN
cord-010715-91fob3ax	71	9	c	c	PROPN
cord-010715-91fob3ax	71	10	in	in	ADP
cord-010715-91fob3ax	71	11	the	the	DET
cord-010715-91fob3ax	71	12	limit	limit	NOUN
cord-010715-91fob3ax	71	13	ρ	ρ	NOUN
cord-010715-91fob3ax	71	14	→	→	PUNCT
cord-010715-91fob3ax	71	15	0	0	NUM
cord-010715-91fob3ax	71	16	by	by	ADP
cord-010715-91fob3ax	71	17	definition	definition	NOUN
cord-010715-91fob3ax	71	18	.	.	PUNCT
cord-010715-91fob3ax	72	1	percolation	percolation	NOUN
cord-010715-91fob3ax	72	2	analysis	analysis	NOUN
cord-010715-91fob3ax	72	3	of	of	ADP
cord-010715-91fob3ax	72	4	an	an	DET
cord-010715-91fob3ax	72	5	epidemic	epidemic	NOUN
cord-010715-91fob3ax	72	6	cluster	cluster	NOUN
cord-010715-91fob3ax	72	7	starting	start	VERB
cord-010715-91fob3ax	72	8	from	from	ADP
cord-010715-91fob3ax	72	9	a	a	DET
cord-010715-91fob3ax	72	10	single	single	ADJ
cord-010715-91fob3ax	72	11	seed	seed	NOUN
cord-010715-91fob3ax	72	12	has	have	AUX
cord-010715-91fob3ax	72	13	been	be	AUX
cord-010715-91fob3ax	72	14	used	use	VERB
cord-010715-91fob3ax	72	15	for	for	ADP
cord-010715-91fob3ax	72	16	numerical	numerical	ADJ
cord-010715-91fob3ax	72	17	computations	computation	NOUN
cord-010715-91fob3ax	72	18	of	of	ADP
cord-010715-91fob3ax	72	19	the	the	DET
cord-010715-91fob3ax	72	20	epidemic	epidemic	NOUN
cord-010715-91fob3ax	72	21	threshold	threshold	NOUN
cord-010715-91fob3ax	72	22	and	and	CCONJ
cord-010715-91fob3ax	72	23	critical	critical	ADJ
cord-010715-91fob3ax	72	24	properties	property	NOUN
cord-010715-91fob3ax	72	25	[	[	PUNCT
cord-010715-91fob3ax	72	26	26	26	NUM
cord-010715-91fob3ax	72	27	,	,	PUNCT
cord-010715-91fob3ax	72	28	27	27	NUM
cord-010715-91fob3ax	72	29	]	]	PUNCT
cord-010715-91fob3ax	72	30	.	.	PUNCT
cord-010715-91fob3ax	73	1	the	the	DET
cord-010715-91fob3ax	73	2	latter	latter	ADJ
cord-010715-91fob3ax	73	3	point	point	NOUN
cord-010715-91fob3ax	73	4	,	,	PUNCT
cord-010715-91fob3ax	73	5	λ	λ	PROPN
cord-010715-91fob3ax	73	6	c2	c2	PROPN
cord-010715-91fob3ax	73	7	,	,	PUNCT
cord-010715-91fob3ax	73	8	is	be	AUX
cord-010715-91fob3ax	73	9	on	on	ADP
cord-010715-91fob3ax	73	10	the	the	DET
cord-010715-91fob3ax	73	11	percolation	percolation	NOUN
cord-010715-91fob3ax	73	12	of	of	ADP
cord-010715-91fob3ax	73	13	the	the	DET
cord-010715-91fob3ax	73	14	s	s	NOUN
cord-010715-91fob3ax	73	15	component	component	NOUN
cord-010715-91fob3ax	73	16	(	(	PUNCT
cord-010715-91fob3ax	73	17	also	also	ADV
cord-010715-91fob3ax	73	18	called	call	VERB
cord-010715-91fob3ax	73	19	the	the	DET
cord-010715-91fob3ax	73	20	residual	residual	ADJ
cord-010715-91fob3ax	73	21	graph	graph	NOUN
cord-010715-91fob3ax	73	22	[	[	PUNCT
cord-010715-91fob3ax	73	23	28	28	NUM
cord-010715-91fob3ax	73	24	,	,	PUNCT
cord-010715-91fob3ax	73	25	29	29	NUM
cord-010715-91fob3ax	73	26	]	]	PUNCT
cord-010715-91fob3ax	73	27	)	)	PUNCT
cord-010715-91fob3ax	73	28	and	and	CCONJ
cord-010715-91fob3ax	73	29	is	be	AUX
cord-010715-91fob3ax	73	30	usually	usually	ADV
cord-010715-91fob3ax	73	31	larger	large	ADJ
cord-010715-91fob3ax	73	32	than	than	ADP
cord-010715-91fob3ax	73	33	λ	λ	PROPN
cord-010715-91fob3ax	73	34	c1	c1	PROPN
cord-010715-91fob3ax	73	35	.	.	PUNCT
cord-010715-91fob3ax	74	1	above	above	ADP
cord-010715-91fob3ax	74	2	λ	λ	PROPN
cord-010715-91fob3ax	74	3	c2	c2	PROPN
cord-010715-91fob3ax	74	4	,	,	PUNCT
cord-010715-91fob3ax	74	5	the	the	DET
cord-010715-91fob3ax	74	6	network	network	NOUN
cord-010715-91fob3ax	74	7	remaining	remain	VERB
cord-010715-91fob3ax	74	8	after	after	ADP
cord-010715-91fob3ax	74	9	removal	removal	NOUN
cord-010715-91fob3ax	74	10	of	of	ADP
cord-010715-91fob3ax	74	11	the	the	DET
cord-010715-91fob3ax	74	12	r	r	NOUN
cord-010715-91fob3ax	74	13	components	component	NOUN
cord-010715-91fob3ax	74	14	is	be	AUX
cord-010715-91fob3ax	74	15	disintegrated	disintegrate	VERB
cord-010715-91fob3ax	74	16	such	such	ADJ
cord-010715-91fob3ax	74	17	that	that	SCONJ
cord-010715-91fob3ax	74	18	the	the	DET
cord-010715-91fob3ax	74	19	sizes	size	NOUN
cord-010715-91fob3ax	74	20	of	of	ADP
cord-010715-91fob3ax	74	21	all	all	DET
cord-010715-91fob3ax	74	22	remaining	remain	VERB
cord-010715-91fob3ax	74	23	components	component	NOUN
cord-010715-91fob3ax	74	24	are	be	AUX
cord-010715-91fob3ax	74	25	finite	finite	ADJ
cord-010715-91fob3ax	74	26	.	.	PUNCT
cord-010715-91fob3ax	75	1	in	in	ADP
cord-010715-91fob3ax	75	2	other	other	ADJ
cord-010715-91fob3ax	75	3	words	word	NOUN
cord-010715-91fob3ax	75	4	,	,	PUNCT
cord-010715-91fob3ax	75	5	the	the	DET
cord-010715-91fob3ax	75	6	mean	mean	ADJ
cord-010715-91fob3ax	75	7	fraction	fraction	NOUN
cord-010715-91fob3ax	75	8	of	of	ADP
cord-010715-91fob3ax	75	9	the	the	DET
cord-010715-91fob3ax	75	10	largest	large	ADJ
cord-010715-91fob3ax	75	11	s	s	PART
cord-010715-91fob3ax	75	12	component	component	NOUN
cord-010715-91fob3ax	75	13	,	,	PUNCT
cord-010715-91fob3ax	75	14	s	s	PROPN
cord-010715-91fob3ax	75	15	max	max	PROPN
cord-010715-91fob3ax	75	16	(	(	PUNCT
cord-010715-91fob3ax	75	17	n	n	NOUN
cord-010715-91fob3ax	75	18	)	)	PUNCT
cord-010715-91fob3ax	75	19	=	=	SYM
cord-010715-91fob3ax	75	20	s	s	PROPN
cord-010715-91fob3ax	75	21	max	max	PROPN
cord-010715-91fob3ax	75	22	(	(	PUNCT
cord-010715-91fob3ax	75	23	n	n	NOUN
cord-010715-91fob3ax	75	24	)	)	PUNCT
cord-010715-91fob3ax	75	25	/n	/n	X
cord-010715-91fob3ax	75	26	,	,	PUNCT
cord-010715-91fob3ax	75	27	where	where	SCONJ
cord-010715-91fob3ax	75	28	s	s	PROPN
cord-010715-91fob3ax	75	29	max	max	PROPN
cord-010715-91fob3ax	75	30	(	(	PUNCT
cord-010715-91fob3ax	75	31	n	n	NOUN
cord-010715-91fob3ax	75	32	)	)	PUNCT
cord-010715-91fob3ax	75	33	is	be	AUX
cord-010715-91fob3ax	75	34	the	the	DET
cord-010715-91fob3ax	75	35	mean	mean	ADJ
cord-010715-91fob3ax	75	36	largest	large	ADJ
cord-010715-91fob3ax	75	37	s	s	ADJ
cord-010715-91fob3ax	75	38	-	-	PUNCT
cord-010715-91fob3ax	75	39	component	component	NOUN
cord-010715-91fob3ax	75	40	size	size	NOUN
cord-010715-91fob3ax	75	41	,	,	PUNCT
cord-010715-91fob3ax	75	42	is	be	AUX
cord-010715-91fob3ax	75	43	0	0	NUM
cord-010715-91fob3ax	75	44	(	(	PUNCT
cord-010715-91fob3ax	75	45	nonzero	nonzero	NOUN
cord-010715-91fob3ax	75	46	)	)	PUNCT
cord-010715-91fob3ax	75	47	for	for	ADP
cord-010715-91fob3ax	75	48	λ	λ	PROPN
cord-010715-91fob3ax	75	49	>	>	X
cord-010715-91fob3ax	75	50	λ	λ	X
cord-010715-91fob3ax	75	51	c2	c2	PROPN
cord-010715-91fob3ax	75	52	(	(	PUNCT
cord-010715-91fob3ax	75	53	λ	λ	PROPN
cord-010715-91fob3ax	75	54	<	<	X
cord-010715-91fob3ax	75	55	λ	λ	X
cord-010715-91fob3ax	75	56	c2	c2	PROPN
cord-010715-91fob3ax	75	57	)	)	PUNCT
cord-010715-91fob3ax	76	1	when	when	SCONJ
cord-010715-91fob3ax	76	2	n	n	ADP
cord-010715-91fob3ax	76	3	1	1	NUM
cord-010715-91fob3ax	76	4	.	.	PUNCT
cord-010715-91fob3ax	77	1	whether	whether	SCONJ
cord-010715-91fob3ax	77	2	the	the	DET
cord-010715-91fob3ax	77	3	susceptible	susceptible	ADJ
cord-010715-91fob3ax	77	4	nodes	node	NOUN
cord-010715-91fob3ax	77	5	are	be	AUX
cord-010715-91fob3ax	77	6	globally	globally	ADV
cord-010715-91fob3ax	77	7	connected	connect	VERB
cord-010715-91fob3ax	77	8	is	be	AUX
cord-010715-91fob3ax	77	9	important	important	ADJ
cord-010715-91fob3ax	77	10	because	because	SCONJ
cord-010715-91fob3ax	77	11	a	a	DET
cord-010715-91fob3ax	77	12	second	second	ADJ
cord-010715-91fob3ax	77	13	epidemic	epidemic	NOUN
cord-010715-91fob3ax	77	14	spread	spread	NOUN
cord-010715-91fob3ax	77	15	may	may	AUX
cord-010715-91fob3ax	77	16	occur	occur	VERB
cord-010715-91fob3ax	77	17	in	in	ADP
cord-010715-91fob3ax	77	18	the	the	DET
cord-010715-91fob3ax	77	19	remaining	remain	VERB
cord-010715-91fob3ax	77	20	network	network	NOUN
cord-010715-91fob3ax	77	21	[	[	PUNCT
cord-010715-91fob3ax	77	22	28	28	NUM
cord-010715-91fob3ax	77	23	,	,	PUNCT
cord-010715-91fob3ax	77	24	30	30	NUM
cord-010715-91fob3ax	77	25	]	]	PUNCT
cord-010715-91fob3ax	77	26	.	.	PUNCT
cord-010715-91fob3ax	78	1	in	in	ADP
cord-010715-91fob3ax	78	2	[	[	X
cord-010715-91fob3ax	78	3	28	28	NUM
cord-010715-91fob3ax	78	4	]	]	PUNCT
cord-010715-91fob3ax	78	5	,	,	PUNCT
cord-010715-91fob3ax	78	6	newman	newman	PROPN
cord-010715-91fob3ax	78	7	analyzed	analyze	VERB
cord-010715-91fob3ax	78	8	this	this	DET
cord-010715-91fob3ax	78	9	second	second	ADJ
cord-010715-91fob3ax	78	10	transition	transition	NOUN
cord-010715-91fob3ax	78	11	point	point	NOUN
cord-010715-91fob3ax	78	12	of	of	ADP
cord-010715-91fob3ax	78	13	the	the	DET
cord-010715-91fob3ax	78	14	sir	sir	PROPN
cord-010715-91fob3ax	78	15	model	model	NOUN
cord-010715-91fob3ax	78	16	with	with	ADP
cord-010715-91fob3ax	78	17	transmissibility	transmissibility	NOUN
cord-010715-91fob3ax	78	18	in	in	ADP
cord-010715-91fob3ax	78	19	uncorrelated	uncorrelated	ADJ
cord-010715-91fob3ax	78	20	networks	network	NOUN
cord-010715-91fob3ax	78	21	with	with	ADP
cord-010715-91fob3ax	78	22	ρ	ρ	PRON
cord-010715-91fob3ax	78	23	→	→	SYM
cord-010715-91fob3ax	78	24	0	0	NUM
cord-010715-91fob3ax	78	25	to	to	PART
cord-010715-91fob3ax	78	26	show	show	VERB
cord-010715-91fob3ax	78	27	that	that	SCONJ
cord-010715-91fob3ax	78	28	the	the	DET
cord-010715-91fob3ax	78	29	transition	transition	NOUN
cord-010715-91fob3ax	78	30	point	point	NOUN
cord-010715-91fob3ax	78	31	is	be	AUX
cord-010715-91fob3ax	78	32	positive	positive	ADJ
cord-010715-91fob3ax	78	33	even	even	ADV
cord-010715-91fob3ax	78	34	when	when	SCONJ
cord-010715-91fob3ax	78	35	γ	γ	PROPN
cord-010715-91fob3ax	78	36	3	3	X
cord-010715-91fob3ax	78	37	.	.	PUNCT
cord-010715-91fob3ax	79	1	valdez	valdez	PROPN
cord-010715-91fob3ax	79	2	et	et	PROPN
cord-010715-91fob3ax	79	3	al	al	PROPN
cord-010715-91fob3ax	79	4	.	.	PUNCT
cord-010715-91fob3ax	80	1	[	[	X
cord-010715-91fob3ax	80	2	31	31	NUM
cord-010715-91fob3ax	80	3	]	]	PUNCT
cord-010715-91fob3ax	80	4	proposed	propose	VERB
cord-010715-91fob3ax	80	5	a	a	DET
cord-010715-91fob3ax	80	6	new	new	ADJ
cord-010715-91fob3ax	80	7	strategy	strategy	NOUN
cord-010715-91fob3ax	80	8	for	for	ADP
cord-010715-91fob3ax	80	9	suppressing	suppress	VERB
cord-010715-91fob3ax	80	10	epidemics	epidemic	NOUN
cord-010715-91fob3ax	80	11	by	by	ADP
cord-010715-91fob3ax	80	12	regarding	regard	VERB
cord-010715-91fob3ax	80	13	this	this	DET
cord-010715-91fob3ax	80	14	second	second	ADJ
cord-010715-91fob3ax	80	15	transition	transition	NOUN
cord-010715-91fob3ax	80	16	point	point	NOUN
cord-010715-91fob3ax	80	17	as	as	ADP
cord-010715-91fob3ax	80	18	a	a	DET
cord-010715-91fob3ax	80	19	measure	measure	NOUN
cord-010715-91fob3ax	80	20	of	of	ADP
cord-010715-91fob3ax	80	21	the	the	DET
cord-010715-91fob3ax	80	22	efficiency	efficiency	NOUN
cord-010715-91fob3ax	80	23	of	of	ADP
cord-010715-91fob3ax	80	24	a	a	DET
cord-010715-91fob3ax	80	25	mitigation	mitigation	NOUN
cord-010715-91fob3ax	80	26	or	or	CCONJ
cord-010715-91fob3ax	80	27	control	control	NOUN
cord-010715-91fob3ax	80	28	strategy	strategy	NOUN
cord-010715-91fob3ax	80	29	.	.	PUNCT
cord-010715-91fob3ax	81	1	if	if	SCONJ
cord-010715-91fob3ax	81	2	we	we	PRON
cord-010715-91fob3ax	81	3	regard	regard	VERB
cord-010715-91fob3ax	81	4	the	the	DET
cord-010715-91fob3ax	81	5	present	present	ADJ
cord-010715-91fob3ax	81	6	model	model	NOUN
cord-010715-91fob3ax	81	7	as	as	ADP
cord-010715-91fob3ax	81	8	showing	show	VERB
cord-010715-91fob3ax	81	9	the	the	DET
cord-010715-91fob3ax	81	10	propagation	propagation	NOUN
cord-010715-91fob3ax	81	11	of	of	ADP
cord-010715-91fob3ax	81	12	an	an	DET
cord-010715-91fob3ax	81	13	attack	attack	NOUN
cord-010715-91fob3ax	81	14	against	against	ADP
cord-010715-91fob3ax	81	15	a	a	DET
cord-010715-91fob3ax	81	16	network	network	NOUN
cord-010715-91fob3ax	81	17	,	,	PUNCT
cord-010715-91fob3ax	81	18	such	such	ADJ
cord-010715-91fob3ax	81	19	as	as	ADP
cord-010715-91fob3ax	81	20	a	a	DET
cord-010715-91fob3ax	81	21	computer	computer	NOUN
cord-010715-91fob3ax	81	22	virus	virus	NOUN
cord-010715-91fob3ax	81	23	,	,	PUNCT
cord-010715-91fob3ax	81	24	λ	λ	PROPN
cord-010715-91fob3ax	81	25	c2	c2	PROPN
cord-010715-91fob3ax	81	26	is	be	AUX
cord-010715-91fob3ax	81	27	a	a	DET
cord-010715-91fob3ax	81	28	measure	measure	NOUN
cord-010715-91fob3ax	81	29	of	of	ADP
cord-010715-91fob3ax	81	30	the	the	DET
cord-010715-91fob3ax	81	31	robustness	robustness	NOUN
cord-010715-91fob3ax	81	32	of	of	ADP
cord-010715-91fob3ax	81	33	networks	network	NOUN
cord-010715-91fob3ax	81	34	against	against	ADP
cord-010715-91fob3ax	81	35	such	such	ADJ
cord-010715-91fob3ax	81	36	attacks	attack	NOUN
cord-010715-91fob3ax	81	37	[	[	PUNCT
cord-010715-91fob3ax	81	38	32	32	NUM
cord-010715-91fob3ax	81	39	,	,	PUNCT
cord-010715-91fob3ax	81	40	33	33	NUM
cord-010715-91fob3ax	81	41	]	]	PUNCT
cord-010715-91fob3ax	81	42	.	.	PUNCT
cord-010715-91fob3ax	82	1	konno	konno	NOUN
cord-010715-91fob3ax	82	2	and	and	CCONJ
cord-010715-91fob3ax	82	3	the	the	DET
cord-010715-91fob3ax	82	4	authors	author	NOUN
cord-010715-91fob3ax	82	5	numerically	numerically	ADV
cord-010715-91fob3ax	82	6	studied	study	VERB
cord-010715-91fob3ax	82	7	λ	λ	PROPN
cord-010715-91fob3ax	82	8	c2	c2	PROPN
cord-010715-91fob3ax	82	9	for	for	ADP
cord-010715-91fob3ax	82	10	correlated	correlated	ADJ
cord-010715-91fob3ax	82	11	networks	network	NOUN
cord-010715-91fob3ax	82	12	to	to	PART
cord-010715-91fob3ax	82	13	show	show	VERB
cord-010715-91fob3ax	82	14	that	that	SCONJ
cord-010715-91fob3ax	82	15	any	any	DET
cord-010715-91fob3ax	82	16	positive	positive	ADJ
cord-010715-91fob3ax	82	17	or	or	CCONJ
cord-010715-91fob3ax	82	18	negative	negative	ADJ
cord-010715-91fob3ax	82	19	degree	degree	NOUN
cord-010715-91fob3ax	82	20	correlation	correlation	NOUN
cord-010715-91fob3ax	82	21	makes	make	VERB
cord-010715-91fob3ax	82	22	networks	network	NOUN
cord-010715-91fob3ax	82	23	more	more	ADV
cord-010715-91fob3ax	82	24	robust	robust	ADJ
cord-010715-91fob3ax	83	1	[	[	X
cord-010715-91fob3ax	83	2	33	33	NUM
cord-010715-91fob3ax	83	3	]	]	PUNCT
cord-010715-91fob3ax	83	4	.	.	PUNCT
cord-010715-91fob3ax	84	1	to	to	PART
cord-010715-91fob3ax	84	2	summarize	summarize	VERB
cord-010715-91fob3ax	84	3	,	,	PUNCT
cord-010715-91fob3ax	84	4	the	the	DET
cord-010715-91fob3ax	84	5	system	system	NOUN
cord-010715-91fob3ax	84	6	with	with	ADP
cord-010715-91fob3ax	84	7	a	a	DET
cord-010715-91fob3ax	84	8	given	give	VERB
cord-010715-91fob3ax	84	9	value	value	NOUN
cord-010715-91fob3ax	84	10	of	of	ADP
cord-010715-91fob3ax	84	11	ρ	ρ	PROPN
cord-010715-91fob3ax	84	12	has	have	VERB
cord-010715-91fob3ax	84	13	the	the	DET
cord-010715-91fob3ax	84	14	following	follow	VERB
cord-010715-91fob3ax	84	15	three	three	NUM
cord-010715-91fob3ax	84	16	regions	region	NOUN
cord-010715-91fob3ax	84	17	:	:	PUNCT
cord-010715-91fob3ax	84	18	(	(	PUNCT
cord-010715-91fob3ax	84	19	i	i	NOUN
cord-010715-91fob3ax	84	20	)	)	PUNCT
cord-010715-91fob3ax	84	21	the	the	DET
cord-010715-91fob3ax	84	22	s	s	ADJ
cord-010715-91fob3ax	84	23	-	-	PUNCT
cord-010715-91fob3ax	84	24	dominant	dominant	ADJ
cord-010715-91fob3ax	84	25	phase	phase	NOUN
cord-010715-91fob3ax	84	26	,	,	PUNCT
cord-010715-91fob3ax	84	27	where	where	SCONJ
cord-010715-91fob3ax	84	28	r	r	PROPN
cord-010715-91fob3ax	84	29	max	max	PROPN
cord-010715-91fob3ax	84	30	=	=	X
cord-010715-91fob3ax	84	31	0	0	NUM
cord-010715-91fob3ax	84	32	and	and	CCONJ
cord-010715-91fob3ax	84	33	s	s	PROPN
cord-010715-91fob3ax	84	34	max	max	PROPN
cord-010715-91fob3ax	84	35	>	>	X
cord-010715-91fob3ax	84	36	0	0	NUM
cord-010715-91fob3ax	84	37	for	for	ADP
cord-010715-91fob3ax	84	38	λ	λ	PROPN
cord-010715-91fob3ax	84	39	<	<	X
cord-010715-91fob3ax	84	40	λ	λ	PROPN
cord-010715-91fob3ax	84	41	c1	c1	PROPN
cord-010715-91fob3ax	84	42	;	;	PUNCT
cord-010715-91fob3ax	84	43	(	(	PUNCT
cord-010715-91fob3ax	84	44	ii	ii	PROPN
cord-010715-91fob3ax	84	45	)	)	PUNCT
cord-010715-91fob3ax	84	46	the	the	DET
cord-010715-91fob3ax	84	47	coexisting	coexisting	ADJ
cord-010715-91fob3ax	84	48	phase	phase	NOUN
cord-010715-91fob3ax	84	49	,	,	PUNCT
cord-010715-91fob3ax	84	50	where	where	SCONJ
cord-010715-91fob3ax	84	51	r	r	PROPN
cord-010715-91fob3ax	84	52	max	max	X
cord-010715-91fob3ax	84	53	>	>	X
cord-010715-91fob3ax	84	54	0	0	NUM
cord-010715-91fob3ax	84	55	and	and	CCONJ
cord-010715-91fob3ax	84	56	s	s	PROPN
cord-010715-91fob3ax	84	57	max	max	PROPN
cord-010715-91fob3ax	84	58	>	>	X
cord-010715-91fob3ax	84	59	0	0	NUM
cord-010715-91fob3ax	84	60	for	for	ADP
cord-010715-91fob3ax	84	61	λ	λ	PROPN
cord-010715-91fob3ax	84	62	c1	c1	PROPN
cord-010715-91fob3ax	84	63	<	<	X
cord-010715-91fob3ax	85	1	λ	λ	X
cord-010715-91fob3ax	85	2	<	<	X
cord-010715-91fob3ax	86	1	λ	λ	X
cord-010715-91fob3ax	86	2	c2	c2	PROPN
cord-010715-91fob3ax	86	3	;	;	PUNCT
cord-010715-91fob3ax	86	4	and	and	CCONJ
cord-010715-91fob3ax	86	5	(	(	PUNCT
cord-010715-91fob3ax	86	6	iii	iii	X
cord-010715-91fob3ax	86	7	)	)	PUNCT
cord-010715-91fob3ax	86	8	the	the	DET
cord-010715-91fob3ax	86	9	r	r	NOUN
cord-010715-91fob3ax	86	10	-	-	PUNCT
cord-010715-91fob3ax	86	11	dominant	dominant	ADJ
cord-010715-91fob3ax	86	12	phase	phase	NOUN
cord-010715-91fob3ax	86	13	,	,	PUNCT
cord-010715-91fob3ax	86	14	where	where	SCONJ
cord-010715-91fob3ax	86	15	r	r	PROPN
cord-010715-91fob3ax	86	16	max	max	X
cord-010715-91fob3ax	86	17	>	>	X
cord-010715-91fob3ax	86	18	0	0	NUM
cord-010715-91fob3ax	86	19	and	and	CCONJ
cord-010715-91fob3ax	86	20	s	s	PROPN
cord-010715-91fob3ax	86	21	max	max	PROPN
cord-010715-91fob3ax	86	22	=	=	NOUN
cord-010715-91fob3ax	86	23	0	0	NUM
cord-010715-91fob3ax	86	24	for	for	ADP
cord-010715-91fob3ax	86	25	λ	λ	PROPN
cord-010715-91fob3ax	86	26	>	>	X
cord-010715-91fob3ax	86	27	λ	λ	PROPN
cord-010715-91fob3ax	86	28	c2	c2	PROPN
cord-010715-91fob3ax	86	29	.	.	PUNCT
cord-010715-91fob3ax	87	1	to	to	PART
cord-010715-91fob3ax	87	2	investigate	investigate	VERB
cord-010715-91fob3ax	87	3	in	in	ADP
cord-010715-91fob3ax	87	4	detail	detail	NOUN
cord-010715-91fob3ax	87	5	the	the	DET
cord-010715-91fob3ax	87	6	phase	phase	NOUN
cord-010715-91fob3ax	87	7	transitions	transition	NOUN
cord-010715-91fob3ax	87	8	of	of	ADP
cord-010715-91fob3ax	87	9	the	the	DET
cord-010715-91fob3ax	87	10	sir	sir	PROPN
cord-010715-91fob3ax	87	11	model	model	NOUN
cord-010715-91fob3ax	87	12	with	with	ADP
cord-010715-91fob3ax	87	13	a	a	DET
cord-010715-91fob3ax	87	14	finite	finite	ADJ
cord-010715-91fob3ax	87	15	fraction	fraction	NOUN
cord-010715-91fob3ax	87	16	of	of	ADP
cord-010715-91fob3ax	87	17	seeds	seed	NOUN
cord-010715-91fob3ax	87	18	,	,	PUNCT
cord-010715-91fob3ax	87	19	we	we	PRON
cord-010715-91fob3ax	87	20	focus	focus	VERB
cord-010715-91fob3ax	87	21	on	on	ADP
cord-010715-91fob3ax	87	22	the	the	DET
cord-010715-91fob3ax	87	23	z	z	ADJ
cord-010715-91fob3ax	87	24	-	-	PUNCT
cord-010715-91fob3ax	87	25	regular	regular	ADJ
cord-010715-91fob3ax	87	26	random	random	ADJ
cord-010715-91fob3ax	87	27	graph	graph	NOUN
cord-010715-91fob3ax	87	28	(	(	PUNCT
cord-010715-91fob3ax	87	29	rrg	rrg	PROPN
cord-010715-91fob3ax	87	30	)	)	PUNCT
cord-010715-91fob3ax	87	31	.	.	PUNCT
cord-010715-91fob3ax	88	1	our	our	PRON
cord-010715-91fob3ax	88	2	formulations	formulation	NOUN
cord-010715-91fob3ax	88	3	discussed	discuss	VERB
cord-010715-91fob3ax	88	4	below	below	ADV
cord-010715-91fob3ax	88	5	are	be	AUX
cord-010715-91fob3ax	88	6	for	for	ADP
cord-010715-91fob3ax	88	7	the	the	DET
cord-010715-91fob3ax	88	8	rrg	rrg	PROPN
cord-010715-91fob3ax	88	9	.	.	PUNCT
cord-010715-91fob3ax	89	1	the	the	DET
cord-010715-91fob3ax	89	2	extension	extension	NOUN
cord-010715-91fob3ax	89	3	to	to	ADP
cord-010715-91fob3ax	89	4	degree	degree	NOUN
cord-010715-91fob3ax	89	5	-	-	PUNCT
cord-010715-91fob3ax	89	6	uncorrelated	uncorrelate	VERB
cord-010715-91fob3ax	89	7	networks	network	NOUN
cord-010715-91fob3ax	89	8	having	have	VERB
cord-010715-91fob3ax	89	9	degree	degree	NOUN
cord-010715-91fob3ax	89	10	distribution	distribution	NOUN
cord-010715-91fob3ax	89	11	p(k	p(k	NOUN
cord-010715-91fob3ax	89	12	)	)	PUNCT
cord-010715-91fob3ax	89	13	may	may	AUX
cord-010715-91fob3ax	89	14	be	be	AUX
cord-010715-91fob3ax	89	15	straightforward	straightforward	ADJ
cord-010715-91fob3ax	89	16	,	,	PUNCT
cord-010715-91fob3ax	89	17	although	although	SCONJ
cord-010715-91fob3ax	89	18	its	its	PRON
cord-010715-91fob3ax	89	19	execution	execution	NOUN
cord-010715-91fob3ax	89	20	will	will	AUX
cord-010715-91fob3ax	89	21	be	be	AUX
cord-010715-91fob3ax	89	22	cumbersome	cumbersome	ADJ
cord-010715-91fob3ax	89	23	.	.	PUNCT
cord-010715-91fob3ax	90	1	at	at	ADP
cord-010715-91fob3ax	90	2	any	any	DET
cord-010715-91fob3ax	90	3	rate	rate	NOUN
cord-010715-91fob3ax	90	4	,	,	PUNCT
cord-010715-91fob3ax	90	5	our	our	PRON
cord-010715-91fob3ax	90	6	findings	finding	NOUN
cord-010715-91fob3ax	90	7	obtained	obtain	VERB
cord-010715-91fob3ax	90	8	from	from	ADP
cord-010715-91fob3ax	90	9	the	the	DET
cord-010715-91fob3ax	90	10	rrg	rrg	PROPN
cord-010715-91fob3ax	90	11	probably	probably	ADV
cord-010715-91fob3ax	90	12	will	will	AUX
cord-010715-91fob3ax	90	13	be	be	AUX
cord-010715-91fob3ax	90	14	in	in	ADP
cord-010715-91fob3ax	90	15	common	common	ADJ
cord-010715-91fob3ax	90	16	with	with	ADP
cord-010715-91fob3ax	90	17	other	other	ADJ
cord-010715-91fob3ax	90	18	networks	network	NOUN
cord-010715-91fob3ax	90	19	.	.	PUNCT
cord-010715-91fob3ax	91	1	in	in	ADP
cord-010715-91fob3ax	91	2	sec	sec	PROPN
cord-010715-91fob3ax	91	3	.	.	PROPN
cord-010715-91fob3ax	91	4	iv	iv	X
cord-010715-91fob3ax	91	5	d	d	PROPN
cord-010715-91fob3ax	91	6	,	,	PUNCT
cord-010715-91fob3ax	91	7	we	we	PRON
cord-010715-91fob3ax	91	8	numerically	numerically	ADV
cord-010715-91fob3ax	91	9	study	study	VERB
cord-010715-91fob3ax	91	10	the	the	DET
cord-010715-91fob3ax	91	11	outbreaks	outbreak	NOUN
cord-010715-91fob3ax	91	12	induced	induce	VERB
cord-010715-91fob3ax	91	13	by	by	ADP
cord-010715-91fob3ax	91	14	multiple	multiple	ADJ
cord-010715-91fob3ax	91	15	seeds	seed	NOUN
cord-010715-91fob3ax	91	16	in	in	ADP
cord-010715-91fob3ax	91	17	finite	finite	NOUN
cord-010715-91fob3ax	91	18	-	-	PUNCT
cord-010715-91fob3ax	91	19	dimensional	dimensional	ADJ
cord-010715-91fob3ax	91	20	euclidean	euclidean	NOUN
cord-010715-91fob3ax	91	21	lattices	lattice	NOUN
cord-010715-91fob3ax	91	22	.	.	PUNCT
cord-010715-91fob3ax	92	1	to	to	PART
cord-010715-91fob3ax	92	2	evaluate	evaluate	VERB
cord-010715-91fob3ax	92	3	the	the	DET
cord-010715-91fob3ax	92	4	time	time	NOUN
cord-010715-91fob3ax	92	5	evolution	evolution	NOUN
cord-010715-91fob3ax	92	6	of	of	ADP
cord-010715-91fob3ax	92	7	the	the	DET
cord-010715-91fob3ax	92	8	sir	sir	PROPN
cord-010715-91fob3ax	92	9	dynamics	dynamic	NOUN
cord-010715-91fob3ax	92	10	and	and	CCONJ
cord-010715-91fob3ax	92	11	the	the	DET
cord-010715-91fob3ax	92	12	total	total	ADJ
cord-010715-91fob3ax	92	13	densities	density	NOUN
cord-010715-91fob3ax	92	14	of	of	ADP
cord-010715-91fob3ax	92	15	the	the	DET
cord-010715-91fob3ax	92	16	susceptible	susceptible	ADJ
cord-010715-91fob3ax	92	17	and	and	CCONJ
cord-010715-91fob3ax	92	18	removed	remove	VERB
cord-010715-91fob3ax	92	19	nodes	node	NOUN
cord-010715-91fob3ax	92	20	in	in	ADP
cord-010715-91fob3ax	92	21	the	the	DET
cord-010715-91fob3ax	92	22	final	final	ADJ
cord-010715-91fob3ax	92	23	states	state	NOUN
cord-010715-91fob3ax	92	24	,	,	PUNCT
cord-010715-91fob3ax	92	25	we	we	PRON
cord-010715-91fob3ax	92	26	consider	consider	VERB
cord-010715-91fob3ax	92	27	the	the	DET
cord-010715-91fob3ax	92	28	approximate	approximate	ADJ
cord-010715-91fob3ax	92	29	master	master	NOUN
cord-010715-91fob3ax	92	30	equations	equation	NOUN
cord-010715-91fob3ax	92	31	(	(	PUNCT
cord-010715-91fob3ax	92	32	ames	ame	NOUN
cord-010715-91fob3ax	92	33	)	)	PUNCT
cord-010715-91fob3ax	93	1	[	[	PUNCT
cord-010715-91fob3ax	93	2	12	12	NUM
cord-010715-91fob3ax	93	3	,	,	PUNCT
cord-010715-91fob3ax	93	4	14	14	NUM
cord-010715-91fob3ax	93	5	]	]	PUNCT
cord-010715-91fob3ax	93	6	.	.	PUNCT
cord-010715-91fob3ax	94	1	let	let	VERB
cord-010715-91fob3ax	94	2	s	s	PRON
cord-010715-91fob3ax	94	3	l	l	NOUN
cord-010715-91fob3ax	94	4	,	,	PUNCT
cord-010715-91fob3ax	94	5	m	m	PROPN
cord-010715-91fob3ax	94	6	(	(	PUNCT
cord-010715-91fob3ax	94	7	t	t	NOUN
cord-010715-91fob3ax	94	8	)	)	PUNCT
cord-010715-91fob3ax	94	9	,	,	PUNCT
cord-010715-91fob3ax	94	10	i	i	PRON
cord-010715-91fob3ax	94	11	l	l	NOUN
cord-010715-91fob3ax	94	12	,	,	PUNCT
cord-010715-91fob3ax	94	13	m	m	VERB
cord-010715-91fob3ax	94	14	(	(	PUNCT
cord-010715-91fob3ax	94	15	t	t	NOUN
cord-010715-91fob3ax	94	16	)	)	PUNCT
cord-010715-91fob3ax	94	17	,	,	PUNCT
cord-010715-91fob3ax	94	18	and	and	CCONJ
cord-010715-91fob3ax	94	19	r	r	NOUN
cord-010715-91fob3ax	94	20	l	l	NOUN
cord-010715-91fob3ax	94	21	,	,	PUNCT
cord-010715-91fob3ax	94	22	m	m	PROPN
cord-010715-91fob3ax	94	23	(	(	PUNCT
cord-010715-91fob3ax	94	24	t	t	NOUN
cord-010715-91fob3ax	94	25	)	)	PUNCT
cord-010715-91fob3ax	94	26	be	be	AUX
cord-010715-91fob3ax	94	27	the	the	DET
cord-010715-91fob3ax	94	28	fractions	fraction	NOUN
cord-010715-91fob3ax	94	29	of	of	ADP
cord-010715-91fob3ax	94	30	nodes	node	NOUN
cord-010715-91fob3ax	94	31	that	that	PRON
cord-010715-91fob3ax	94	32	are	be	AUX
cord-010715-91fob3ax	94	33	susceptible	susceptible	ADJ
cord-010715-91fob3ax	94	34	,	,	PUNCT
cord-010715-91fob3ax	94	35	infected	infect	VERB
cord-010715-91fob3ax	94	36	,	,	PUNCT
cord-010715-91fob3ax	94	37	and	and	CCONJ
cord-010715-91fob3ax	94	38	removed	remove	VERB
cord-010715-91fob3ax	94	39	,	,	PUNCT
cord-010715-91fob3ax	94	40	respectively	respectively	ADV
cord-010715-91fob3ax	94	41	,	,	PUNCT
cord-010715-91fob3ax	94	42	at	at	ADP
cord-010715-91fob3ax	94	43	time	time	NOUN
cord-010715-91fob3ax	94	44	t	t	PROPN
cord-010715-91fob3ax	94	45	and	and	CCONJ
cord-010715-91fob3ax	94	46	have	have	VERB
cord-010715-91fob3ax	94	47	l	l	PRON
cord-010715-91fob3ax	94	48	susceptible	susceptible	ADJ
cord-010715-91fob3ax	94	49	and	and	CCONJ
cord-010715-91fob3ax	94	50	m	m	AUX
cord-010715-91fob3ax	94	51	infected	infect	VERB
cord-010715-91fob3ax	94	52	neighbors	neighbor	NOUN
cord-010715-91fob3ax	94	53	.	.	PUNCT
cord-010715-91fob3ax	95	1	the	the	DET
cord-010715-91fob3ax	95	2	ames	ame	NOUN
cord-010715-91fob3ax	95	3	for	for	ADP
cord-010715-91fob3ax	95	4	the	the	DET
cord-010715-91fob3ax	95	5	evolution	evolution	NOUN
cord-010715-91fob3ax	95	6	of	of	ADP
cord-010715-91fob3ax	95	7	these	these	DET
cord-010715-91fob3ax	95	8	variables	variable	NOUN
cord-010715-91fob3ax	95	9	are	be	AUX
cord-010715-91fob3ax	95	10	as	as	SCONJ
cord-010715-91fob3ax	95	11	follows	follow	VERB
cord-010715-91fob3ax	95	12	(	(	PUNCT
cord-010715-91fob3ax	95	13	see	see	VERB
cord-010715-91fob3ax	95	14	[	[	X
cord-010715-91fob3ax	95	15	12	12	NUM
cord-010715-91fob3ax	95	16	]	]	PUNCT
cord-010715-91fob3ax	95	17	for	for	ADP
cord-010715-91fob3ax	95	18	details	detail	NOUN
cord-010715-91fob3ax	95	19	):	):	PUNCT
cord-010715-91fob3ax	95	20	the	the	DET
cord-010715-91fob3ax	95	21	transition	transition	NOUN
cord-010715-91fob3ax	95	22	rates	rate	NOUN
cord-010715-91fob3ax	95	23	of	of	ADP
cord-010715-91fob3ax	95	24	neighboring	neighboring	NOUN
cord-010715-91fob3ax	95	25	nodes	node	NOUN
cord-010715-91fob3ax	95	26	are	be	AUX
cord-010715-91fob3ax	95	27	approximated	approximate	VERB
cord-010715-91fob3ax	95	28	as	as	ADP
cord-010715-91fob3ax	95	29	where	where	SCONJ
cord-010715-91fob3ax	95	30	the	the	DET
cord-010715-91fob3ax	95	31	summations	summation	NOUN
cord-010715-91fob3ax	95	32	run	run	VERB
cord-010715-91fob3ax	95	33	over	over	ADP
cord-010715-91fob3ax	95	34	all	all	PRON
cord-010715-91fob3ax	95	35	0	0	NUM
cord-010715-91fob3ax	95	36	l	l	NOUN
cord-010715-91fob3ax	95	37	+	+	CCONJ
cord-010715-91fob3ax	95	38	m	m	VERB
cord-010715-91fob3ax	95	39	k.	k.	PROPN
cord-010715-91fob3ax	95	40	to	to	PART
cord-010715-91fob3ax	95	41	describe	describe	VERB
cord-010715-91fob3ax	95	42	the	the	DET
cord-010715-91fob3ax	95	43	sir	sir	PROPN
cord-010715-91fob3ax	95	44	dynamics	dynamic	NOUN
cord-010715-91fob3ax	95	45	with	with	ADP
cord-010715-91fob3ax	95	46	ρ	ρ	X
cord-010715-91fob3ax	95	47	>	>	X
cord-010715-91fob3ax	95	48	0	0	NUM
cord-010715-91fob3ax	95	49	,	,	PUNCT
cord-010715-91fob3ax	95	50	we	we	PRON
cord-010715-91fob3ax	95	51	set	set	VERB
cord-010715-91fob3ax	95	52	the	the	DET
cord-010715-91fob3ax	95	53	initial	initial	ADJ
cord-010715-91fob3ax	95	54	condition	condition	NOUN
cord-010715-91fob3ax	95	55	as	as	ADP
cord-010715-91fob3ax	95	56	by	by	ADP
cord-010715-91fob3ax	95	57	numerical	numerical	ADJ
cord-010715-91fob3ax	95	58	evaluation	evaluation	NOUN
cord-010715-91fob3ax	95	59	of	of	ADP
cord-010715-91fob3ax	95	60	the	the	DET
cord-010715-91fob3ax	95	61	above	above	ADJ
cord-010715-91fob3ax	95	62	equations	equation	NOUN
cord-010715-91fob3ax	95	63	,	,	PUNCT
cord-010715-91fob3ax	95	64	we	we	PRON
cord-010715-91fob3ax	95	65	obtain	obtain	VERB
cord-010715-91fob3ax	95	66	the	the	DET
cord-010715-91fob3ax	95	67	total	total	ADJ
cord-010715-91fob3ax	95	68	densities	density	NOUN
cord-010715-91fob3ax	95	69	which	which	PRON
cord-010715-91fob3ax	95	70	satisfy	satisfy	VERB
cord-010715-91fob3ax	95	71	the	the	DET
cord-010715-91fob3ax	95	72	conservation	conservation	NOUN
cord-010715-91fob3ax	95	73	law	law	NOUN
cord-010715-91fob3ax	95	74	,	,	PUNCT
cord-010715-91fob3ax	95	75	at	at	ADP
cord-010715-91fob3ax	95	76	any	any	DET
cord-010715-91fob3ax	95	77	time	time	NOUN
cord-010715-91fob3ax	95	78	t.	t.	PROPN
cord-010715-91fob3ax	95	79	note	note	VERB
cord-010715-91fob3ax	95	80	that	that	SCONJ
cord-010715-91fob3ax	95	81	all	all	DET
cord-010715-91fob3ax	95	82	variables	variable	NOUN
cord-010715-91fob3ax	95	83	other	other	ADJ
cord-010715-91fob3ax	95	84	than	than	ADP
cord-010715-91fob3ax	95	85	s	s	PART
cord-010715-91fob3ax	95	86	l,0	l,0	ADJ
cord-010715-91fob3ax	95	87	and	and	CCONJ
cord-010715-91fob3ax	95	88	r	r	NOUN
cord-010715-91fob3ax	95	89	l,0	l,0	NOUN
cord-010715-91fob3ax	95	90	vanish	vanish	VERB
cord-010715-91fob3ax	95	91	in	in	ADP
cord-010715-91fob3ax	95	92	the	the	DET
cord-010715-91fob3ax	95	93	limit	limit	NOUN
cord-010715-91fob3ax	95	94	t	t	NOUN
cord-010715-91fob3ax	95	95	→	→	SYM
cord-010715-91fob3ax	95	96	∞	∞	PROPN
cord-010715-91fob3ax	95	97	,	,	PUNCT
cord-010715-91fob3ax	95	98	and	and	CCONJ
cord-010715-91fob3ax	95	99	therefore	therefore	ADV
cord-010715-91fob3ax	95	100	i(∞	i(∞	PROPN
cord-010715-91fob3ax	95	101	)	)	PUNCT
cord-010715-91fob3ax	95	102	=	=	NOUN
cord-010715-91fob3ax	95	103	0	0	NUM
cord-010715-91fob3ax	95	104	.	.	PUNCT
cord-010715-91fob3ax	96	1	to	to	PART
cord-010715-91fob3ax	96	2	check	check	VERB
cord-010715-91fob3ax	96	3	the	the	DET
cord-010715-91fob3ax	96	4	accuracy	accuracy	NOUN
cord-010715-91fob3ax	96	5	of	of	ADP
cord-010715-91fob3ax	96	6	the	the	DET
cord-010715-91fob3ax	96	7	ame	ame	PROPN
cord-010715-91fob3ax	96	8	,	,	PUNCT
cord-010715-91fob3ax	96	9	we	we	PRON
cord-010715-91fob3ax	96	10	perform	perform	VERB
cord-010715-91fob3ax	96	11	monte	monte	PROPN
cord-010715-91fob3ax	96	12	carlo	carlo	PROPN
cord-010715-91fob3ax	96	13	simulations	simulation	NOUN
cord-010715-91fob3ax	96	14	for	for	ADP
cord-010715-91fob3ax	96	15	the	the	DET
cord-010715-91fob3ax	96	16	sir	sir	PROPN
cord-010715-91fob3ax	96	17	model	model	NOUN
cord-010715-91fob3ax	96	18	on	on	ADP
cord-010715-91fob3ax	96	19	the	the	DET
cord-010715-91fob3ax	96	20	rrg	rrg	NOUN
cord-010715-91fob3ax	96	21	with	with	ADP
cord-010715-91fob3ax	96	22	z	z	NOUN
cord-010715-91fob3ax	96	23	=	=	NOUN
cord-010715-91fob3ax	96	24	6	6	NUM
cord-010715-91fob3ax	96	25	.	.	PUNCT
cord-010715-91fob3ax	97	1	in	in	ADP
cord-010715-91fob3ax	97	2	our	our	PRON
cord-010715-91fob3ax	97	3	simulations	simulation	NOUN
cord-010715-91fob3ax	97	4	,	,	PUNCT
cord-010715-91fob3ax	97	5	we	we	PRON
cord-010715-91fob3ax	97	6	set	set	VERB
cord-010715-91fob3ax	97	7	μ	μ	NOUN
cord-010715-91fob3ax	97	8	=	=	SYM
cord-010715-91fob3ax	97	9	1	1	NUM
cord-010715-91fob3ax	97	10	and	and	CCONJ
cord-010715-91fob3ax	97	11	ρ	ρ	NOUN
cord-010715-91fob3ax	97	12	=	=	NOUN
cord-010715-91fob3ax	97	13	0.01	0.01	NUM
cord-010715-91fob3ax	97	14	.	.	PUNCT
cord-010715-91fob3ax	98	1	the	the	DET
cord-010715-91fob3ax	98	2	numbers	number	NOUN
cord-010715-91fob3ax	98	3	of	of	ADP
cord-010715-91fob3ax	98	4	nodes	node	NOUN
cord-010715-91fob3ax	98	5	are	be	AUX
cord-010715-91fob3ax	98	6	n	n	NOUN
cord-010715-91fob3ax	98	7	=	=	NOUN
cord-010715-91fob3ax	98	8	64	64	NUM
cord-010715-91fob3ax	98	9	000	000	NUM
cord-010715-91fob3ax	98	10	,	,	PUNCT
cord-010715-91fob3ax	98	11	128	128	NUM
cord-010715-91fob3ax	98	12	000	000	NUM
cord-010715-91fob3ax	98	13	,	,	PUNCT
cord-010715-91fob3ax	98	14	256	256	NUM
cord-010715-91fob3ax	98	15	000	000	NUM
cord-010715-91fob3ax	98	16	,	,	PUNCT
cord-010715-91fob3ax	98	17	and	and	CCONJ
cord-010715-91fob3ax	98	18	512	512	NUM
cord-010715-91fob3ax	98	19	000	000	NUM
cord-010715-91fob3ax	98	20	.	.	PUNCT
cord-010715-91fob3ax	99	1	the	the	DET
cord-010715-91fob3ax	99	2	number	number	NOUN
cord-010715-91fob3ax	99	3	of	of	ADP
cord-010715-91fob3ax	99	4	graph	graph	NOUN
cord-010715-91fob3ax	99	5	realizations	realization	NOUN
cord-010715-91fob3ax	99	6	is	be	AUX
cord-010715-91fob3ax	99	7	100	100	NUM
cord-010715-91fob3ax	99	8	,	,	PUNCT
cord-010715-91fob3ax	99	9	and	and	CCONJ
cord-010715-91fob3ax	99	10	the	the	DET
cord-010715-91fob3ax	99	11	number	number	NOUN
cord-010715-91fob3ax	99	12	of	of	ADP
cord-010715-91fob3ax	99	13	trials	trial	NOUN
cord-010715-91fob3ax	99	14	on	on	ADP
cord-010715-91fob3ax	99	15	each	each	DET
cord-010715-91fob3ax	99	16	graph	graph	NOUN
cord-010715-91fob3ax	99	17	is	be	AUX
cord-010715-91fob3ax	99	18	500	500	NUM
cord-010715-91fob3ax	99	19	.	.	PUNCT
cord-010715-91fob3ax	100	1	figure	figure	NOUN
cord-010715-91fob3ax	100	2	1(a	1(a	NUM
cord-010715-91fob3ax	100	3	)	)	PUNCT
cord-010715-91fob3ax	100	4	shows	show	VERB
cord-010715-91fob3ax	100	5	the	the	DET
cord-010715-91fob3ax	100	6	ame	ame	PROPN
cord-010715-91fob3ax	100	7	result	result	PROPN
cord-010715-91fob3ax	100	8	(	(	PUNCT
cord-010715-91fob3ax	100	9	line	line	NOUN
cord-010715-91fob3ax	100	10	)	)	PUNCT
cord-010715-91fob3ax	100	11	and	and	CCONJ
cord-010715-91fob3ax	100	12	the	the	DET
cord-010715-91fob3ax	100	13	monte	monte	PROPN
cord-010715-91fob3ax	100	14	carlo	carlo	PROPN
cord-010715-91fob3ax	100	15	result	result	PROPN
cord-010715-91fob3ax	100	16	(	(	PUNCT
cord-010715-91fob3ax	100	17	symbols	symbol	NOUN
cord-010715-91fob3ax	100	18	)	)	PUNCT
cord-010715-91fob3ax	100	19	of	of	ADP
cord-010715-91fob3ax	100	20	the	the	DET
cord-010715-91fob3ax	100	21	total	total	ADJ
cord-010715-91fob3ax	100	22	densities	density	NOUN
cord-010715-91fob3ax	100	23	of	of	ADP
cord-010715-91fob3ax	100	24	susceptible	susceptible	ADJ
cord-010715-91fob3ax	100	25	and	and	CCONJ
cord-010715-91fob3ax	100	26	removed	remove	VERB
cord-010715-91fob3ax	100	27	nodes	node	NOUN
cord-010715-91fob3ax	100	28	,	,	PUNCT
cord-010715-91fob3ax	100	29	s	s	PROPN
cord-010715-91fob3ax	100	30	and	and	CCONJ
cord-010715-91fob3ax	100	31	r	r	NOUN
cord-010715-91fob3ax	100	32	,	,	PUNCT
cord-010715-91fob3ax	100	33	in	in	ADP
cord-010715-91fob3ax	100	34	the	the	DET
cord-010715-91fob3ax	100	35	final	final	ADJ
cord-010715-91fob3ax	100	36	states	state	NOUN
cord-010715-91fob3ax	100	37	.	.	PUNCT
cord-010715-91fob3ax	101	1	we	we	PRON
cord-010715-91fob3ax	101	2	find	find	VERB
cord-010715-91fob3ax	101	3	that	that	SCONJ
cord-010715-91fob3ax	101	4	data	datum	NOUN
cord-010715-91fob3ax	101	5	from	from	ADP
cord-010715-91fob3ax	101	6	the	the	DET
cord-010715-91fob3ax	101	7	ames	ame	NOUN
cord-010715-91fob3ax	101	8	wholly	wholly	ADV
cord-010715-91fob3ax	101	9	coincide	coincide	VERB
cord-010715-91fob3ax	101	10	with	with	ADP
cord-010715-91fob3ax	101	11	those	those	PRON
cord-010715-91fob3ax	101	12	from	from	ADP
cord-010715-91fob3ax	101	13	the	the	DET
cord-010715-91fob3ax	101	14	monte	monte	PROPN
cord-010715-91fob3ax	101	15	carlo	carlo	PROPN
cord-010715-91fob3ax	101	16	simulations	simulation	NOUN
cord-010715-91fob3ax	101	17	.	.	PUNCT
cord-010715-91fob3ax	102	1	equations	equation	NOUN
cord-010715-91fob3ax	102	2	(	(	PUNCT
cord-010715-91fob3ax	102	3	2)-(11	2)-(11	NUM
cord-010715-91fob3ax	102	4	)	)	PUNCT
cord-010715-91fob3ax	102	5	do	do	AUX
cord-010715-91fob3ax	102	6	not	not	PART
cord-010715-91fob3ax	102	7	predict	predict	VERB
cord-010715-91fob3ax	102	8	any	any	DET
cord-010715-91fob3ax	102	9	transition	transition	NOUN
cord-010715-91fob3ax	102	10	point	point	NOUN
cord-010715-91fob3ax	102	11	for	for	ADP
cord-010715-91fob3ax	102	12	ρ	ρ	X
cord-010715-91fob3ax	102	13	>	>	X
cord-010715-91fob3ax	102	14	0	0	NUM
cord-010715-91fob3ax	102	15	because	because	SCONJ
cord-010715-91fob3ax	102	16	r(∞	r(∞	NOUN
cord-010715-91fob3ax	102	17	)	)	PUNCT
cord-010715-91fob3ax	102	18	ρ	ρ	X
cord-010715-91fob3ax	102	19	>	>	PUNCT
cord-010715-91fob3ax	102	20	0	0	NUM
cord-010715-91fob3ax	102	21	,	,	PUNCT
cord-010715-91fob3ax	102	22	although	although	SCONJ
cord-010715-91fob3ax	102	23	it	it	PRON
cord-010715-91fob3ax	102	24	is	be	AUX
cord-010715-91fob3ax	102	25	possible	possible	ADJ
cord-010715-91fob3ax	102	26	to	to	PART
cord-010715-91fob3ax	102	27	derive	derive	VERB
cord-010715-91fob3ax	102	28	the	the	DET
cord-010715-91fob3ax	102	29	epidemic	epidemic	NOUN
cord-010715-91fob3ax	102	30	threshold	threshold	NOUN
cord-010715-91fob3ax	103	1	λ	λ	PROPN
cord-010715-91fob3ax	103	2	sir	sir	PROPN
cord-010715-91fob3ax	103	3	c	c	PROPN
cord-010715-91fob3ax	103	4	=	=	X
cord-010715-91fob3ax	103	5	μ/(z	μ/(z	PUNCT
cord-010715-91fob3ax	104	1	−	−	PROPN
cord-010715-91fob3ax	104	2	2	2	NUM
cord-010715-91fob3ax	104	3	)	)	PUNCT
cord-010715-91fob3ax	104	4	for	for	ADP
cord-010715-91fob3ax	104	5	the	the	DET
cord-010715-91fob3ax	104	6	rrg	rrg	NOUN
cord-010715-91fob3ax	104	7	with	with	ADP
cord-010715-91fob3ax	104	8	degree	degree	NOUN
cord-010715-91fob3ax	104	9	z	z	NOUN
cord-010715-91fob3ax	105	1	[	[	X
cord-010715-91fob3ax	105	2	12	12	NUM
cord-010715-91fob3ax	105	3	]	]	PUNCT
cord-010715-91fob3ax	106	1	by	by	ADP
cord-010715-91fob3ax	106	2	considering	consider	VERB
cord-010715-91fob3ax	106	3	the	the	DET
cord-010715-91fob3ax	106	4	limit	limit	NOUN
cord-010715-91fob3ax	106	5	ρ	ρ	NOUN
cord-010715-91fob3ax	106	6	→	→	PUNCT
cord-010715-91fob3ax	106	7	0	0	NUM
cord-010715-91fob3ax	106	8	(	(	PUNCT
cord-010715-91fob3ax	106	9	see	see	VERB
cord-010715-91fob3ax	106	10	appendix	appendix	PROPN
cord-010715-91fob3ax	106	11	a	a	PRON
cord-010715-91fob3ax	106	12	)	)	PUNCT
cord-010715-91fob3ax	106	13	.	.	PUNCT
cord-010715-91fob3ax	107	1	in	in	ADP
cord-010715-91fob3ax	107	2	contrast	contrast	NOUN
cord-010715-91fob3ax	107	3	,	,	PUNCT
cord-010715-91fob3ax	107	4	the	the	DET
cord-010715-91fob3ax	107	5	monte	monte	PROPN
cord-010715-91fob3ax	107	6	carlo	carlo	PROPN
cord-010715-91fob3ax	107	7	simulations	simulation	NOUN
cord-010715-91fob3ax	107	8	suggest	suggest	VERB
cord-010715-91fob3ax	107	9	that	that	SCONJ
cord-010715-91fob3ax	107	10	the	the	DET
cord-010715-91fob3ax	107	11	model	model	NOUN
cord-010715-91fob3ax	107	12	actually	actually	ADV
cord-010715-91fob3ax	107	13	exhibits	exhibit	VERB
cord-010715-91fob3ax	107	14	phase	phase	NOUN
cord-010715-91fob3ax	107	15	transitions	transition	NOUN
cord-010715-91fob3ax	107	16	.	.	PUNCT
cord-010715-91fob3ax	108	1	in	in	ADP
cord-010715-91fob3ax	108	2	fig	fig	NOUN
cord-010715-91fob3ax	108	3	.	.	PUNCT
cord-010715-91fob3ax	109	1	1(b	1(b	NUM
cord-010715-91fob3ax	109	2	)	)	PUNCT
cord-010715-91fob3ax	109	3	,	,	PUNCT
cord-010715-91fob3ax	109	4	we	we	PRON
cord-010715-91fob3ax	109	5	plot	plot	VERB
cord-010715-91fob3ax	109	6	the	the	DET
cord-010715-91fob3ax	109	7	r	r	NOUN
cord-010715-91fob3ax	109	8	and	and	CCONJ
cord-010715-91fob3ax	109	9	s	s	PART
cord-010715-91fob3ax	109	10	susceptibilities	susceptibility	NOUN
cord-010715-91fob3ax	109	11	(	(	PUNCT
cord-010715-91fob3ax	109	12	which	which	PRON
cord-010715-91fob3ax	109	13	we	we	PRON
cord-010715-91fob3ax	109	14	call	call	VERB
cord-010715-91fob3ax	109	15	the	the	DET
cord-010715-91fob3ax	109	16	susceptibility	susceptibility	NOUN
cord-010715-91fob3ax	109	17	by	by	ADP
cord-010715-91fob3ax	109	18	analogy	analogy	NOUN
cord-010715-91fob3ax	109	19	with	with	ADP
cord-010715-91fob3ax	109	20	the	the	DET
cord-010715-91fob3ax	109	21	magnetic	magnetic	ADJ
cord-010715-91fob3ax	109	22	susceptibility	susceptibility	NOUN
cord-010715-91fob3ax	109	23	in	in	ADP
cord-010715-91fob3ax	109	24	spin	spin	NOUN
cord-010715-91fob3ax	109	25	systems	system	NOUN
cord-010715-91fob3ax	109	26	)	)	PUNCT
cord-010715-91fob3ax	109	27	χ	χ	X
cord-010715-91fob3ax	110	1	r	r	NOUN
cord-010715-91fob3ax	110	2	and	and	CCONJ
cord-010715-91fob3ax	110	3	χ	χ	NOUN
cord-010715-91fob3ax	110	4	s	s	PROPN
cord-010715-91fob3ax	110	5	.	.	PUNCT
cord-010715-91fob3ax	111	1	here	here	ADV
cord-010715-91fob3ax	111	2	,	,	PUNCT
cord-010715-91fob3ax	111	3	χ	χ	X
cord-010715-91fob3ax	111	4	r	r	NOUN
cord-010715-91fob3ax	111	5	(	(	PUNCT
cord-010715-91fob3ax	111	6	χ	χ	NOUN
cord-010715-91fob3ax	111	7	s	s	PROPN
cord-010715-91fob3ax	111	8	)	)	PUNCT
cord-010715-91fob3ax	111	9	is	be	AUX
cord-010715-91fob3ax	111	10	defined	define	VERB
cord-010715-91fob3ax	111	11	as	as	ADP
cord-010715-91fob3ax	111	12	the	the	DET
cord-010715-91fob3ax	111	13	mean	mean	ADJ
cord-010715-91fob3ax	111	14	size	size	NOUN
cord-010715-91fob3ax	111	15	of	of	ADP
cord-010715-91fob3ax	111	16	all	all	DET
cord-010715-91fob3ax	111	17	r	r	NOUN
cord-010715-91fob3ax	111	18	components	component	NOUN
cord-010715-91fob3ax	111	19	(	(	PUNCT
cord-010715-91fob3ax	111	20	s	s	NOUN
cord-010715-91fob3ax	111	21	components	component	NOUN
cord-010715-91fob3ax	111	22	)	)	PUNCT
cord-010715-91fob3ax	111	23	except	except	SCONJ
cord-010715-91fob3ax	111	24	the	the	DET
cord-010715-91fob3ax	111	25	largest	large	ADJ
cord-010715-91fob3ax	111	26	one	one	NUM
cord-010715-91fob3ax	111	27	[	[	PUNCT
cord-010715-91fob3ax	111	28	34	34	NUM
cord-010715-91fob3ax	111	29	]	]	PUNCT
cord-010715-91fob3ax	111	30	.	.	PUNCT
cord-010715-91fob3ax	112	1	we	we	PRON
cord-010715-91fob3ax	112	2	find	find	VERB
cord-010715-91fob3ax	112	3	that	that	SCONJ
cord-010715-91fob3ax	112	4	χ	χ	X
cord-010715-91fob3ax	112	5	r	r	NOUN
cord-010715-91fob3ax	112	6	and	and	CCONJ
cord-010715-91fob3ax	112	7	χ	χ	NUM
cord-010715-91fob3ax	112	8	s	s	NOUN
cord-010715-91fob3ax	112	9	have	have	VERB
cord-010715-91fob3ax	112	10	peaks	peak	NOUN
cord-010715-91fob3ax	112	11	at	at	ADP
cord-010715-91fob3ax	112	12	λ	λ	PROPN
cord-010715-91fob3ax	112	13	c1	c1	PROPN
cord-010715-91fob3ax	112	14	and	and	CCONJ
cord-010715-91fob3ax	112	15	λ	λ	PROPN
cord-010715-91fob3ax	112	16	c2	c2	PROPN
cord-010715-91fob3ax	112	17	,	,	PUNCT
cord-010715-91fob3ax	112	18	respectively	respectively	ADV
cord-010715-91fob3ax	112	19	,	,	PUNCT
cord-010715-91fob3ax	112	20	implying	imply	VERB
cord-010715-91fob3ax	112	21	two	two	NUM
cord-010715-91fob3ax	112	22	phase	phase	NOUN
cord-010715-91fob3ax	112	23	transitions	transition	NOUN
cord-010715-91fob3ax	112	24	.	.	PUNCT
cord-010715-91fob3ax	113	1	moreover	moreover	ADV
cord-010715-91fob3ax	113	2	,	,	PUNCT
cord-010715-91fob3ax	113	3	these	these	DET
cord-010715-91fob3ax	113	4	points	point	NOUN
cord-010715-91fob3ax	113	5	are	be	AUX
cord-010715-91fob3ax	113	6	clearly	clearly	ADV
cord-010715-91fob3ax	113	7	different	different	ADJ
cord-010715-91fob3ax	113	8	from	from	ADP
cord-010715-91fob3ax	113	9	λ	λ	PROPN
cord-010715-91fob3ax	113	10	sir	sir	PROPN
cord-010715-91fob3ax	113	11	c	c	PROPN
cord-010715-91fob3ax	113	12	.	.	PUNCT
cord-010715-91fob3ax	114	1	in	in	ADP
cord-010715-91fob3ax	114	2	particular	particular	ADJ
cord-010715-91fob3ax	114	3	,	,	PUNCT
cord-010715-91fob3ax	114	4	the	the	DET
cord-010715-91fob3ax	114	5	gap	gap	NOUN
cord-010715-91fob3ax	114	6	between	between	ADP
cord-010715-91fob3ax	114	7	λ	λ	PROPN
cord-010715-91fob3ax	114	8	c1	c1	PROPN
cord-010715-91fob3ax	114	9	and	and	CCONJ
cord-010715-91fob3ax	114	10	λ	λ	PROPN
cord-010715-91fob3ax	115	1	sir	sir	PROPN
cord-010715-91fob3ax	115	2	c	c	PROPN
cord-010715-91fob3ax	115	3	indicates	indicate	VERB
cord-010715-91fob3ax	115	4	that	that	SCONJ
cord-010715-91fob3ax	115	5	as	as	ADP
cord-010715-91fob3ax	115	6	the	the	DET
cord-010715-91fob3ax	115	7	infection	infection	NOUN
cord-010715-91fob3ax	115	8	rate	rate	NOUN
cord-010715-91fob3ax	115	9	increases	increase	NOUN
cord-010715-91fob3ax	115	10	,	,	PUNCT
cord-010715-91fob3ax	115	11	the	the	DET
cord-010715-91fob3ax	115	12	epidemic	epidemic	NOUN
cord-010715-91fob3ax	115	13	clusters	cluster	NOUN
cord-010715-91fob3ax	115	14	generated	generate	VERB
cord-010715-91fob3ax	115	15	from	from	ADP
cord-010715-91fob3ax	115	16	each	each	DET
cord-010715-91fob3ax	115	17	seed	seed	NOUN
cord-010715-91fob3ax	115	18	percolate	percolate	NOUN
cord-010715-91fob3ax	115	19	before	before	SCONJ
cord-010715-91fob3ax	115	20	a	a	DET
cord-010715-91fob3ax	115	21	single	single	ADJ
cord-010715-91fob3ax	115	22	seed	seed	NOUN
cord-010715-91fob3ax	115	23	can	can	AUX
cord-010715-91fob3ax	115	24	induce	induce	VERB
cord-010715-91fob3ax	115	25	a	a	DET
cord-010715-91fob3ax	115	26	global	global	ADJ
cord-010715-91fob3ax	115	27	outbreak	outbreak	NOUN
cord-010715-91fob3ax	115	28	.	.	PUNCT
cord-010715-91fob3ax	116	1	in	in	ADP
cord-010715-91fob3ax	116	2	the	the	DET
cord-010715-91fob3ax	116	3	next	next	ADJ
cord-010715-91fob3ax	116	4	section	section	NOUN
cord-010715-91fob3ax	116	5	,	,	PUNCT
cord-010715-91fob3ax	116	6	we	we	PRON
cord-010715-91fob3ax	116	7	derive	derive	VERB
cord-010715-91fob3ax	116	8	these	these	DET
cord-010715-91fob3ax	116	9	percolation	percolation	NOUN
cord-010715-91fob3ax	116	10	transition	transition	NOUN
cord-010715-91fob3ax	116	11	points	point	NOUN
cord-010715-91fob3ax	116	12	for	for	ADP
cord-010715-91fob3ax	116	13	0	0	NUM
cord-010715-91fob3ax	116	14	<	<	X
cord-010715-91fob3ax	116	15	ρ	ρ	X
cord-010715-91fob3ax	116	16	<	<	X
cord-010715-91fob3ax	116	17	1	1	NUM
cord-010715-91fob3ax	116	18	.	.	PUNCT
cord-010715-91fob3ax	117	1	to	to	PART
cord-010715-91fob3ax	117	2	derive	derive	VERB
cord-010715-91fob3ax	117	3	λ	λ	PROPN
cord-010715-91fob3ax	117	4	c2	c2	PROPN
cord-010715-91fob3ax	117	5	,	,	PUNCT
cord-010715-91fob3ax	117	6	we	we	PRON
cord-010715-91fob3ax	117	7	consider	consider	VERB
cord-010715-91fob3ax	117	8	the	the	DET
cord-010715-91fob3ax	117	9	percolation	percolation	NOUN
cord-010715-91fob3ax	117	10	of	of	ADP
cord-010715-91fob3ax	117	11	the	the	DET
cord-010715-91fob3ax	117	12	s	s	NOUN
cord-010715-91fob3ax	117	13	components	component	NOUN
cord-010715-91fob3ax	117	14	.	.	PUNCT
cord-010715-91fob3ax	118	1	in	in	ADP
cord-010715-91fob3ax	118	2	[	[	X
cord-010715-91fob3ax	118	3	28	28	NUM
cord-010715-91fob3ax	118	4	]	]	PUNCT
cord-010715-91fob3ax	118	5	,	,	PUNCT
cord-010715-91fob3ax	118	6	newman	newman	PROPN
cord-010715-91fob3ax	118	7	analyzed	analyze	VERB
cord-010715-91fob3ax	118	8	the	the	DET
cord-010715-91fob3ax	118	9	percolation	percolation	NOUN
cord-010715-91fob3ax	118	10	of	of	ADP
cord-010715-91fob3ax	118	11	the	the	DET
cord-010715-91fob3ax	118	12	s	s	NOUN
cord-010715-91fob3ax	118	13	components	component	NOUN
cord-010715-91fob3ax	118	14	using	use	VERB
cord-010715-91fob3ax	118	15	generating	generating	NOUN
cord-010715-91fob3ax	118	16	functions	function	NOUN
cord-010715-91fob3ax	118	17	.	.	PUNCT
cord-010715-91fob3ax	119	1	his	his	PRON
cord-010715-91fob3ax	119	2	method	method	NOUN
cord-010715-91fob3ax	119	3	gives	give	VERB
cord-010715-91fob3ax	119	4	λ	λ	PROPN
cord-010715-91fob3ax	119	5	c2	c2	PROPN
cord-010715-91fob3ax	119	6	for	for	ADP
cord-010715-91fob3ax	119	7	the	the	DET
cord-010715-91fob3ax	119	8	sir	sir	PROPN
cord-010715-91fob3ax	119	9	model	model	NOUN
cord-010715-91fob3ax	119	10	in	in	ADP
cord-010715-91fob3ax	119	11	uncorrelated	uncorrelated	ADJ
cord-010715-91fob3ax	119	12	networks	network	NOUN
cord-010715-91fob3ax	119	13	but	but	CCONJ
cord-010715-91fob3ax	119	14	assumes	assume	VERB
cord-010715-91fob3ax	119	15	a	a	DET
cord-010715-91fob3ax	119	16	single	single	ADJ
cord-010715-91fob3ax	119	17	seed	seed	NOUN
cord-010715-91fob3ax	119	18	.	.	PUNCT
cord-010715-91fob3ax	120	1	by	by	ADP
cord-010715-91fob3ax	120	2	combining	combine	VERB
cord-010715-91fob3ax	120	3	the	the	DET
cord-010715-91fob3ax	120	4	ames	ame	NOUN
cord-010715-91fob3ax	120	5	and	and	CCONJ
cord-010715-91fob3ax	120	6	newman	newman	PROPN
cord-010715-91fob3ax	120	7	's	's	PART
cord-010715-91fob3ax	120	8	method	method	NOUN
cord-010715-91fob3ax	120	9	,	,	PUNCT
cord-010715-91fob3ax	120	10	we	we	PRON
cord-010715-91fob3ax	120	11	obtain	obtain	VERB
cord-010715-91fob3ax	120	12	s	s	PROPN
cord-010715-91fob3ax	120	13	max	max	PROPN
cord-010715-91fob3ax	120	14	and	and	CCONJ
cord-010715-91fob3ax	120	15	λ	λ	PROPN
cord-010715-91fob3ax	120	16	c2	c2	PROPN
cord-010715-91fob3ax	120	17	for	for	ADP
cord-010715-91fob3ax	120	18	the	the	DET
cord-010715-91fob3ax	120	19	case	case	NOUN
cord-010715-91fob3ax	120	20	with	with	ADP
cord-010715-91fob3ax	120	21	0	0	NUM
cord-010715-91fob3ax	120	22	<	<	X
cord-010715-91fob3ax	120	23	ρ	ρ	X
cord-010715-91fob3ax	120	24	<	<	X
cord-010715-91fob3ax	120	25	1	1	NUM
cord-010715-91fob3ax	120	26	.	.	PUNCT
cord-010715-91fob3ax	121	1	let	let	VERB
cord-010715-91fob3ax	121	2	us	we	PRON
cord-010715-91fob3ax	121	3	consider	consider	VERB
cord-010715-91fob3ax	121	4	the	the	DET
cord-010715-91fob3ax	121	5	s	s	NOUN
cord-010715-91fob3ax	121	6	components	component	NOUN
cord-010715-91fob3ax	121	7	in	in	ADP
cord-010715-91fob3ax	121	8	a	a	DET
cord-010715-91fob3ax	121	9	typical	typical	ADJ
cord-010715-91fob3ax	121	10	final	final	ADJ
cord-010715-91fob3ax	121	11	state	state	NOUN
cord-010715-91fob3ax	121	12	for	for	ADP
cord-010715-91fob3ax	121	13	the	the	DET
cord-010715-91fob3ax	121	14	sir	sir	PROPN
cord-010715-91fob3ax	121	15	model	model	NOUN
cord-010715-91fob3ax	121	16	on	on	ADP
cord-010715-91fob3ax	121	17	an	an	DET
cord-010715-91fob3ax	121	18	infinitely	infinitely	ADV
cord-010715-91fob3ax	121	19	large	large	ADJ
cord-010715-91fob3ax	121	20	rrg	rrg	NOUN
cord-010715-91fob3ax	121	21	with	with	ADP
cord-010715-91fob3ax	121	22	ρ	ρ	PROPN
cord-010715-91fob3ax	121	23	>	>	X
cord-010715-91fob3ax	121	24	0	0	NUM
cord-010715-91fob3ax	121	25	.	.	PUNCT
cord-010715-91fob3ax	122	1	in	in	ADP
cord-010715-91fob3ax	122	2	the	the	DET
cord-010715-91fob3ax	122	3	previous	previous	ADJ
cord-010715-91fob3ax	122	4	section	section	NOUN
cord-010715-91fob3ax	122	5	,	,	PUNCT
cord-010715-91fob3ax	122	6	we	we	PRON
cord-010715-91fob3ax	122	7	already	already	ADV
cord-010715-91fob3ax	122	8	have	have	VERB
cord-010715-91fob3ax	122	9	the	the	DET
cord-010715-91fob3ax	122	10	probability	probability	NOUN
cord-010715-91fob3ax	122	11	s	s	PROPN
cord-010715-91fob3ax	122	12	l,0	l,0	PROPN
cord-010715-91fob3ax	122	13	(	(	PUNCT
cord-010715-91fob3ax	122	14	∞	∞	NUM
cord-010715-91fob3ax	122	15	)	)	PUNCT
cord-010715-91fob3ax	122	16	that	that	SCONJ
cord-010715-91fob3ax	122	17	a	a	DET
cord-010715-91fob3ax	122	18	randomly	randomly	ADV
cord-010715-91fob3ax	122	19	chosen	choose	VERB
cord-010715-91fob3ax	122	20	node	node	NOUN
cord-010715-91fob3ax	122	21	is	be	AUX
cord-010715-91fob3ax	122	22	susceptible	susceptible	ADJ
cord-010715-91fob3ax	122	23	and	and	CCONJ
cord-010715-91fob3ax	122	24	has	have	VERB
cord-010715-91fob3ax	122	25	l	l	PRON
cord-010715-91fob3ax	122	26	susceptible	susceptible	ADJ
cord-010715-91fob3ax	122	27	neighbors	neighbor	NOUN
cord-010715-91fob3ax	123	1	[	[	X
cord-010715-91fob3ax	123	2	s	s	NOUN
cord-010715-91fob3ax	123	3	l	l	PROPN
cord-010715-91fob3ax	123	4	,	,	PUNCT
cord-010715-91fob3ax	123	5	m	m	PROPN
cord-010715-91fob3ax	123	6	(	(	PUNCT
cord-010715-91fob3ax	123	7	∞	∞	NUM
cord-010715-91fob3ax	123	8	)	)	PUNCT
cord-010715-91fob3ax	123	9	=	=	NOUN
cord-010715-91fob3ax	123	10	0	0	NUM
cord-010715-91fob3ax	123	11	for	for	ADP
cord-010715-91fob3ax	123	12	m	m	PRON
cord-010715-91fob3ax	123	13	=	=	NOUN
cord-010715-91fob3ax	123	14	0	0	NUM
cord-010715-91fob3ax	123	15	]	]	X
cord-010715-91fob3ax	123	16	.	.	PUNCT
cord-010715-91fob3ax	124	1	using	use	VERB
cord-010715-91fob3ax	124	2	s	s	PROPN
cord-010715-91fob3ax	124	3	l,0	l,0	PROPN
cord-010715-91fob3ax	124	4	(	(	PUNCT
cord-010715-91fob3ax	124	5	∞	∞	NUM
cord-010715-91fob3ax	124	6	)	)	PUNCT
cord-010715-91fob3ax	124	7	,	,	PUNCT
cord-010715-91fob3ax	124	8	we	we	PRON
cord-010715-91fob3ax	124	9	obtain	obtain	VERB
cord-010715-91fob3ax	124	10	the	the	DET
cord-010715-91fob3ax	124	11	degree	degree	NOUN
cord-010715-91fob3ax	124	12	distribution	distribution	NOUN
cord-010715-91fob3ax	124	13	of	of	ADP
cord-010715-91fob3ax	124	14	the	the	DET
cord-010715-91fob3ax	124	15	s	s	NOUN
cord-010715-91fob3ax	124	16	components	component	NOUN
cord-010715-91fob3ax	124	17	as	as	ADP
cord-010715-91fob3ax	124	18	where	where	SCONJ
cord-010715-91fob3ax	124	19	the	the	DET
cord-010715-91fob3ax	124	20	denominator	denominator	NOUN
cord-010715-91fob3ax	124	21	s	s	PROPN
cord-010715-91fob3ax	124	22	=	=	X
cord-010715-91fob3ax	125	1	k	k	X
cord-010715-91fob3ax	126	1	l=0	l=0	PROPN
cord-010715-91fob3ax	126	2	s	s	PART
cord-010715-91fob3ax	126	3	l,0	l,0	PROPN
cord-010715-91fob3ax	126	4	is	be	AUX
cord-010715-91fob3ax	126	5	the	the	DET
cord-010715-91fob3ax	126	6	prior	prior	ADJ
cord-010715-91fob3ax	126	7	probability	probability	NOUN
cord-010715-91fob3ax	126	8	of	of	ADP
cord-010715-91fob3ax	126	9	being	be	AUX
cord-010715-91fob3ax	126	10	susceptible	susceptible	ADJ
cord-010715-91fob3ax	126	11	.	.	PUNCT
cord-010715-91fob3ax	127	1	the	the	DET
cord-010715-91fob3ax	127	2	corresponding	corresponding	ADJ
cord-010715-91fob3ax	127	3	generating	generating	NOUN
cord-010715-91fob3ax	127	4	function	function	NOUN
cord-010715-91fob3ax	127	5	,	,	PUNCT
cord-010715-91fob3ax	127	6	f	f	PROPN
cord-010715-91fob3ax	127	7	s	s	PROPN
cord-010715-91fob3ax	127	8	0	0	NUM
cord-010715-91fob3ax	127	9	(	(	PUNCT
cord-010715-91fob3ax	127	10	x	x	X
cord-010715-91fob3ax	127	11	)	)	PUNCT
cord-010715-91fob3ax	127	12	,	,	PUNCT
cord-010715-91fob3ax	127	13	is	be	AUX
cord-010715-91fob3ax	127	14	given	give	VERB
cord-010715-91fob3ax	127	15	by	by	ADP
cord-010715-91fob3ax	127	16	here	here	ADV
cord-010715-91fob3ax	127	17	we	we	PRON
cord-010715-91fob3ax	127	18	assume	assume	VERB
cord-010715-91fob3ax	127	19	that	that	SCONJ
cord-010715-91fob3ax	127	20	this	this	DET
cord-010715-91fob3ax	127	21	subnetwork	subnetwork	NOUN
cord-010715-91fob3ax	127	22	is	be	AUX
cord-010715-91fob3ax	127	23	degree	degree	NOUN
cord-010715-91fob3ax	127	24	uncorrelated	uncorrelated	ADJ
cord-010715-91fob3ax	127	25	.	.	PUNCT
cord-010715-91fob3ax	128	1	we	we	PRON
cord-010715-91fob3ax	128	2	consider	consider	VERB
cord-010715-91fob3ax	128	3	the	the	DET
cord-010715-91fob3ax	128	4	excess	excess	ADJ
cord-010715-91fob3ax	128	5	degree	degree	NOUN
cord-010715-91fob3ax	128	6	,	,	PUNCT
cord-010715-91fob3ax	128	7	which	which	PRON
cord-010715-91fob3ax	128	8	is	be	AUX
cord-010715-91fob3ax	128	9	the	the	DET
cord-010715-91fob3ax	128	10	degree	degree	NOUN
cord-010715-91fob3ax	128	11	of	of	ADP
cord-010715-91fob3ax	128	12	the	the	DET
cord-010715-91fob3ax	128	13	node	node	NOUN
cord-010715-91fob3ax	128	14	reached	reach	VERB
cord-010715-91fob3ax	128	15	by	by	ADP
cord-010715-91fob3ax	128	16	following	follow	VERB
cord-010715-91fob3ax	128	17	a	a	DET
cord-010715-91fob3ax	128	18	randomly	randomly	ADV
cord-010715-91fob3ax	128	19	chosen	choose	VERB
cord-010715-91fob3ax	128	20	link	link	NOUN
cord-010715-91fob3ax	128	21	minus	minus	ADP
cord-010715-91fob3ax	128	22	1	1	NUM
cord-010715-91fob3ax	128	23	[	[	PUNCT
cord-010715-91fob3ax	128	24	5	5	NUM
cord-010715-91fob3ax	128	25	]	]	PUNCT
cord-010715-91fob3ax	128	26	.	.	PUNCT
cord-010715-91fob3ax	129	1	the	the	DET
cord-010715-91fob3ax	129	2	excess	excess	ADJ
cord-010715-91fob3ax	129	3	degree	degree	NOUN
cord-010715-91fob3ax	129	4	distribution	distribution	NOUN
cord-010715-91fob3ax	129	5	,	,	PUNCT
cord-010715-91fob3ax	129	6	q	q	NOUN
cord-010715-91fob3ax	129	7	s	s	NOUN
cord-010715-91fob3ax	129	8	l	l	NOUN
cord-010715-91fob3ax	129	9	,	,	PUNCT
cord-010715-91fob3ax	129	10	which	which	PRON
cord-010715-91fob3ax	129	11	is	be	AUX
cord-010715-91fob3ax	129	12	the	the	DET
cord-010715-91fob3ax	129	13	probability	probability	NOUN
cord-010715-91fob3ax	129	14	that	that	SCONJ
cord-010715-91fob3ax	129	15	a	a	DET
cord-010715-91fob3ax	129	16	randomly	randomly	ADV
cord-010715-91fob3ax	129	17	chosen	choose	VERB
cord-010715-91fob3ax	129	18	link	link	NOUN
cord-010715-91fob3ax	129	19	from	from	ADP
cord-010715-91fob3ax	129	20	s	s	PART
cord-010715-91fob3ax	129	21	components	component	NOUN
cord-010715-91fob3ax	129	22	points	point	NOUN
cord-010715-91fob3ax	129	23	to	to	ADP
cord-010715-91fob3ax	129	24	a	a	DET
cord-010715-91fob3ax	129	25	(	(	PUNCT
cord-010715-91fob3ax	129	26	susceptible	susceptible	ADJ
cord-010715-91fob3ax	129	27	)	)	PUNCT
cord-010715-91fob3ax	129	28	node	node	NOUN
cord-010715-91fob3ax	129	29	with	with	ADP
cord-010715-91fob3ax	129	30	excess	excess	ADJ
cord-010715-91fob3ax	129	31	degree	degree	NOUN
cord-010715-91fob3ax	129	32	l	l	NOUN
cord-010715-91fob3ax	129	33	,	,	PUNCT
cord-010715-91fob3ax	129	34	is	be	AUX
cord-010715-91fob3ax	129	35	(	(	PUNCT
cord-010715-91fob3ax	129	36	l	l	NOUN
cord-010715-91fob3ax	129	37	+	+	CCONJ
cord-010715-91fob3ax	129	38	1)p	1)p	NUM
cord-010715-91fob3ax	129	39	s	s	PART
cord-010715-91fob3ax	129	40	l+1	l+1	X
cord-010715-91fob3ax	129	41	/	/	SYM
cord-010715-91fob3ax	130	1	l	l	NOUN
cord-010715-91fob3ax	130	2	(	(	PUNCT
cord-010715-91fob3ax	130	3	l	l	NOUN
cord-010715-91fob3ax	130	4	+	+	CCONJ
cord-010715-91fob3ax	130	5	1)p	1)p	NUM
cord-010715-91fob3ax	130	6	s	s	VERB
cord-010715-91fob3ax	131	1	l	l	NOUN
cord-010715-91fob3ax	131	2	+1	+1	ADJ
cord-010715-91fob3ax	131	3	.	.	PUNCT
cord-010715-91fob3ax	132	1	then	then	ADV
cord-010715-91fob3ax	132	2	the	the	DET
cord-010715-91fob3ax	132	3	generating	generating	NOUN
cord-010715-91fob3ax	132	4	function	function	NOUN
cord-010715-91fob3ax	132	5	for	for	ADP
cord-010715-91fob3ax	132	6	the	the	DET
cord-010715-91fob3ax	132	7	excess	excess	ADJ
cord-010715-91fob3ax	132	8	degree	degree	NOUN
cord-010715-91fob3ax	132	9	distribution	distribution	NOUN
cord-010715-91fob3ax	132	10	of	of	ADP
cord-010715-91fob3ax	132	11	the	the	DET
cord-010715-91fob3ax	132	12	s	s	NOUN
cord-010715-91fob3ax	132	13	components	component	NOUN
cord-010715-91fob3ax	132	14	is	be	AUX
cord-010715-91fob3ax	132	15	and	and	CCONJ
cord-010715-91fob3ax	132	16	the	the	DET
cord-010715-91fob3ax	132	17	mean	mean	ADJ
cord-010715-91fob3ax	132	18	excess	excess	ADJ
cord-010715-91fob3ax	132	19	degree	degree	NOUN
cord-010715-91fob3ax	132	20	is	be	AUX
cord-010715-91fob3ax	132	21	given	give	VERB
cord-010715-91fob3ax	132	22	by	by	ADP
cord-010715-91fob3ax	132	23	f	f	PROPN
cord-010715-91fob3ax	132	24	s	s	PROPN
cord-010715-91fob3ax	132	25	1	1	NUM
cord-010715-91fob3ax	132	26	(	(	PUNCT
cord-010715-91fob3ax	132	27	1	1	NUM
cord-010715-91fob3ax	132	28	)	)	PUNCT
cord-010715-91fob3ax	132	29	.	.	PUNCT
cord-010715-91fob3ax	133	1	by	by	ADP
cord-010715-91fob3ax	133	2	arguing	argue	VERB
cord-010715-91fob3ax	133	3	the	the	DET
cord-010715-91fob3ax	133	4	emergence	emergence	NOUN
cord-010715-91fob3ax	133	5	of	of	ADP
cord-010715-91fob3ax	133	6	an	an	DET
cord-010715-91fob3ax	133	7	infinitely	infinitely	ADV
cord-010715-91fob3ax	133	8	connected	connect	VERB
cord-010715-91fob3ax	133	9	component	component	NOUN
cord-010715-91fob3ax	133	10	of	of	ADP
cord-010715-91fob3ax	133	11	this	this	DET
cord-010715-91fob3ax	133	12	subnetwork	subnetwork	NOUN
cord-010715-91fob3ax	133	13	(	(	PUNCT
cord-010715-91fob3ax	133	14	similar	similar	ADJ
cord-010715-91fob3ax	133	15	to	to	ADP
cord-010715-91fob3ax	133	16	[	[	X
cord-010715-91fob3ax	133	17	5	5	NUM
cord-010715-91fob3ax	133	18	]	]	PUNCT
cord-010715-91fob3ax	133	19	)	)	PUNCT
cord-010715-91fob3ax	133	20	,	,	PUNCT
cord-010715-91fob3ax	133	21	we	we	PRON
cord-010715-91fob3ax	133	22	easily	easily	ADV
cord-010715-91fob3ax	133	23	find	find	VERB
cord-010715-91fob3ax	133	24	that	that	SCONJ
cord-010715-91fob3ax	133	25	there	there	PRON
cord-010715-91fob3ax	133	26	is	be	VERB
cord-010715-91fob3ax	133	27	an	an	DET
cord-010715-91fob3ax	133	28	infinite	infinite	NOUN
cord-010715-91fob3ax	133	29	s	s	PRON
cord-010715-91fob3ax	133	30	component	component	NOUN
cord-010715-91fob3ax	133	31	if	if	SCONJ
cord-010715-91fob3ax	133	32	f	f	X
cord-010715-91fob3ax	133	33	s	s	PROPN
cord-010715-91fob3ax	133	34	1	1	NUM
cord-010715-91fob3ax	133	35	(	(	PUNCT
cord-010715-91fob3ax	133	36	1	1	NUM
cord-010715-91fob3ax	133	37	)	)	PUNCT
cord-010715-91fob3ax	133	38	>	>	SYM
cord-010715-91fob3ax	133	39	1	1	NUM
cord-010715-91fob3ax	133	40	,	,	PUNCT
cord-010715-91fob3ax	133	41	and	and	CCONJ
cord-010715-91fob3ax	133	42	thus	thus	ADV
cord-010715-91fob3ax	133	43	,	,	PUNCT
cord-010715-91fob3ax	133	44	the	the	DET
cord-010715-91fob3ax	133	45	percolation	percolation	NOUN
cord-010715-91fob3ax	133	46	transition	transition	NOUN
cord-010715-91fob3ax	133	47	point	point	NOUN
cord-010715-91fob3ax	133	48	of	of	ADP
cord-010715-91fob3ax	133	49	the	the	DET
cord-010715-91fob3ax	133	50	s	s	NOUN
cord-010715-91fob3ax	133	51	component	component	NOUN
cord-010715-91fob3ax	133	52	,	,	PUNCT
cord-010715-91fob3ax	133	53	λ	λ	PROPN
cord-010715-91fob3ax	133	54	c2	c2	PROPN
cord-010715-91fob3ax	133	55	,	,	PUNCT
cord-010715-91fob3ax	133	56	satisfies	satisfie	NOUN
cord-010715-91fob3ax	133	57	following	follow	VERB
cord-010715-91fob3ax	133	58	[	[	X
cord-010715-91fob3ax	133	59	28	28	NUM
cord-010715-91fob3ax	133	60	]	]	PUNCT
cord-010715-91fob3ax	133	61	,	,	PUNCT
cord-010715-91fob3ax	133	62	we	we	PRON
cord-010715-91fob3ax	133	63	also	also	ADV
cord-010715-91fob3ax	133	64	have	have	VERB
cord-010715-91fob3ax	133	65	the	the	DET
cord-010715-91fob3ax	133	66	mean	mean	ADJ
cord-010715-91fob3ax	133	67	fraction	fraction	NOUN
cord-010715-91fob3ax	133	68	of	of	ADP
cord-010715-91fob3ax	133	69	the	the	DET
cord-010715-91fob3ax	133	70	largest	large	ADJ
cord-010715-91fob3ax	133	71	s	s	PART
cord-010715-91fob3ax	133	72	component	component	NOUN
cord-010715-91fob3ax	133	73	,	,	PUNCT
cord-010715-91fob3ax	133	74	s	s	PROPN
cord-010715-91fob3ax	133	75	max	max	PROPN
cord-010715-91fob3ax	133	76	,	,	PUNCT
cord-010715-91fob3ax	133	77	as	as	ADP
cord-010715-91fob3ax	133	78	where	where	SCONJ
cord-010715-91fob3ax	133	79	v	v	NOUN
cord-010715-91fob3ax	133	80	is	be	AUX
cord-010715-91fob3ax	133	81	the	the	DET
cord-010715-91fob3ax	133	82	solution	solution	NOUN
cord-010715-91fob3ax	133	83	of	of	ADP
cord-010715-91fob3ax	133	84	we	we	PRON
cord-010715-91fob3ax	133	85	check	check	VERB
cord-010715-91fob3ax	133	86	these	these	DET
cord-010715-91fob3ax	133	87	estimates	estimate	NOUN
cord-010715-91fob3ax	133	88	using	use	VERB
cord-010715-91fob3ax	133	89	monte	monte	PROPN
cord-010715-91fob3ax	133	90	carlo	carlo	PROPN
cord-010715-91fob3ax	133	91	simulations	simulation	NOUN
cord-010715-91fob3ax	133	92	.	.	PUNCT
cord-010715-91fob3ax	134	1	figure	figure	NOUN
cord-010715-91fob3ax	134	2	2	2	NUM
cord-010715-91fob3ax	134	3	(	(	PUNCT
cord-010715-91fob3ax	134	4	a	a	X
cord-010715-91fob3ax	134	5	)	)	PUNCT
cord-010715-91fob3ax	134	6	shows	show	VERB
cord-010715-91fob3ax	134	7	the	the	DET
cord-010715-91fob3ax	134	8	order	order	NOUN
cord-010715-91fob3ax	134	9	parameter	parameter	NOUN
cord-010715-91fob3ax	134	10	,	,	PUNCT
cord-010715-91fob3ax	134	11	i.e.	i.e.	X
cord-010715-91fob3ax	134	12	,	,	PUNCT
cord-010715-91fob3ax	134	13	the	the	DET
cord-010715-91fob3ax	134	14	fraction	fraction	NOUN
cord-010715-91fob3ax	134	15	of	of	ADP
cord-010715-91fob3ax	134	16	the	the	DET
cord-010715-91fob3ax	134	17	largest	large	ADJ
cord-010715-91fob3ax	134	18	s	s	PART
cord-010715-91fob3ax	134	19	component	component	NOUN
cord-010715-91fob3ax	134	20	,	,	PUNCT
cord-010715-91fob3ax	134	21	s	s	PROPN
cord-010715-91fob3ax	134	22	max	max	PROPN
cord-010715-91fob3ax	134	23	(	(	PUNCT
cord-010715-91fob3ax	134	24	n	n	NOUN
cord-010715-91fob3ax	134	25	)	)	PUNCT
cord-010715-91fob3ax	134	26	,	,	PUNCT
cord-010715-91fob3ax	134	27	for	for	ADP
cord-010715-91fob3ax	134	28	rrgs	rrg	NOUN
cord-010715-91fob3ax	134	29	with	with	ADP
cord-010715-91fob3ax	134	30	several	several	ADJ
cord-010715-91fob3ax	134	31	n	n	NOUN
cord-010715-91fob3ax	134	32	'	'	ADJ
cord-010715-91fob3ax	134	33	s.	s.	PROPN
cord-010715-91fob3ax	134	34	we	we	PRON
cord-010715-91fob3ax	134	35	find	find	VERB
cord-010715-91fob3ax	134	36	that	that	SCONJ
cord-010715-91fob3ax	134	37	the	the	DET
cord-010715-91fob3ax	134	38	numerical	numerical	ADJ
cord-010715-91fob3ax	134	39	results	result	NOUN
cord-010715-91fob3ax	134	40	coincide	coincide	VERB
cord-010715-91fob3ax	134	41	with	with	ADP
cord-010715-91fob3ax	134	42	the	the	DET
cord-010715-91fob3ax	134	43	analytical	analytical	ADJ
cord-010715-91fob3ax	134	44	line	line	NOUN
cord-010715-91fob3ax	134	45	below	below	ADP
cord-010715-91fob3ax	134	46	λ	λ	PROPN
cord-010715-91fob3ax	134	47	c2	c2	PROPN
cord-010715-91fob3ax	134	48	and	and	CCONJ
cord-010715-91fob3ax	134	49	tend	tend	VERB
cord-010715-91fob3ax	134	50	to	to	ADP
cord-010715-91fob3ax	134	51	0	0	NUM
cord-010715-91fob3ax	134	52	with	with	ADP
cord-010715-91fob3ax	134	53	increasing	increase	VERB
cord-010715-91fob3ax	134	54	n	n	ADV
cord-010715-91fob3ax	134	55	above	above	ADP
cord-010715-91fob3ax	134	56	λ	λ	PROPN
cord-010715-91fob3ax	134	57	c2	c2	PROPN
cord-010715-91fob3ax	134	58	.	.	PUNCT
cord-010715-91fob3ax	135	1	to	to	PART
cord-010715-91fob3ax	135	2	numerically	numerically	ADV
cord-010715-91fob3ax	135	3	obtain	obtain	VERB
cord-010715-91fob3ax	135	4	the	the	DET
cord-010715-91fob3ax	135	5	transition	transition	NOUN
cord-010715-91fob3ax	135	6	point	point	NOUN
cord-010715-91fob3ax	135	7	,	,	PUNCT
cord-010715-91fob3ax	135	8	λ	λ	PROPN
cord-010715-91fob3ax	135	9	c2	c2	PROPN
cord-010715-91fob3ax	135	10	,	,	PUNCT
cord-010715-91fob3ax	135	11	we	we	PRON
cord-010715-91fob3ax	135	12	introduce	introduce	VERB
cord-010715-91fob3ax	135	13	the	the	DET
cord-010715-91fob3ax	135	14	fractal	fractal	NOUN
cord-010715-91fob3ax	135	15	exponent	exponent	NOUN
cord-010715-91fob3ax	136	1	[	[	X
cord-010715-91fob3ax	136	2	35	35	NUM
cord-010715-91fob3ax	136	3	]	]	PUNCT
cord-010715-91fob3ax	136	4	.	.	PUNCT
cord-010715-91fob3ax	137	1	the	the	DET
cord-010715-91fob3ax	137	2	fractal	fractal	ADJ
cord-010715-91fob3ax	137	3	exponent	exponent	NOUN
cord-010715-91fob3ax	137	4	of	of	ADP
cord-010715-91fob3ax	137	5	the	the	DET
cord-010715-91fob3ax	137	6	largest	large	ADJ
cord-010715-91fob3ax	137	7	s	s	PART
cord-010715-91fob3ax	137	8	component	component	NOUN
cord-010715-91fob3ax	137	9	is	be	AUX
cord-010715-91fob3ax	137	10	defined	define	VERB
cord-010715-91fob3ax	137	11	and	and	CCONJ
cord-010715-91fob3ax	137	12	approximated	approximate	VERB
cord-010715-91fob3ax	137	13	as	as	ADP
cord-010715-91fob3ax	137	14	in	in	ADP
cord-010715-91fob3ax	137	15	the	the	DET
cord-010715-91fob3ax	137	16	limit	limit	NOUN
cord-010715-91fob3ax	137	17	n	n	NOUN
cord-010715-91fob3ax	137	18	→	→	SYM
cord-010715-91fob3ax	137	19	∞	∞	PROPN
cord-010715-91fob3ax	137	20	,	,	PUNCT
cord-010715-91fob3ax	137	21	ψ	ψ	PROPN
cord-010715-91fob3ax	137	22	s	s	PROPN
cord-010715-91fob3ax	137	23	=	=	NOUN
cord-010715-91fob3ax	137	24	1	1	NUM
cord-010715-91fob3ax	137	25	for	for	ADP
cord-010715-91fob3ax	137	26	λ	λ	PROPN
cord-010715-91fob3ax	137	27	<	<	X
cord-010715-91fob3ax	137	28	λ	λ	X
cord-010715-91fob3ax	137	29	c2	c2	PROPN
cord-010715-91fob3ax	137	30	and	and	CCONJ
cord-010715-91fob3ax	137	31	ψ	ψ	PROPN
cord-010715-91fob3ax	137	32	s	s	PROPN
cord-010715-91fob3ax	137	33	=	=	NOUN
cord-010715-91fob3ax	137	34	0	0	NUM
cord-010715-91fob3ax	137	35	for	for	ADP
cord-010715-91fob3ax	137	36	λ	λ	PROPN
cord-010715-91fob3ax	137	37	>	>	X
cord-010715-91fob3ax	137	38	λ	λ	X
cord-010715-91fob3ax	137	39	c2	c2	PROPN
cord-010715-91fob3ax	137	40	,	,	PUNCT
cord-010715-91fob3ax	137	41	because	because	SCONJ
cord-010715-91fob3ax	137	42	the	the	DET
cord-010715-91fob3ax	137	43	largest	large	ADJ
cord-010715-91fob3ax	137	44	s	s	ADJ
cord-010715-91fob3ax	137	45	-	-	PUNCT
cord-010715-91fob3ax	137	46	component	component	NOUN
cord-010715-91fob3ax	137	47	size	size	NOUN
cord-010715-91fob3ax	137	48	should	should	AUX
cord-010715-91fob3ax	137	49	be	be	AUX
cord-010715-91fob3ax	137	50	proportional	proportional	ADJ
cord-010715-91fob3ax	137	51	to	to	ADP
cord-010715-91fob3ax	137	52	n	n	NOUN
cord-010715-91fob3ax	137	53	for	for	ADP
cord-010715-91fob3ax	137	54	λ	λ	PROPN
cord-010715-91fob3ax	137	55	<	<	X
cord-010715-91fob3ax	137	56	λ	λ	X
cord-010715-91fob3ax	137	57	c2	c2	PROPN
cord-010715-91fob3ax	137	58	and	and	CCONJ
cord-010715-91fob3ax	137	59	finite	finite	NOUN
cord-010715-91fob3ax	137	60	for	for	ADP
cord-010715-91fob3ax	137	61	λ	λ	X
cord-010715-91fob3ax	137	62	>	>	X
cord-010715-91fob3ax	138	1	λ	λ	X
cord-010715-91fob3ax	138	2	c2	c2	PROPN
cord-010715-91fob3ax	138	3	.	.	PUNCT
cord-010715-91fob3ax	139	1	as	as	SCONJ
cord-010715-91fob3ax	139	2	shown	show	VERB
cord-010715-91fob3ax	139	3	in	in	ADP
cord-010715-91fob3ax	139	4	fig	fig	PROPN
cord-010715-91fob3ax	139	5	.	.	PUNCT
cord-010715-91fob3ax	140	1	2(b	2(b	PUNCT
cord-010715-91fob3ax	140	2	)	)	PUNCT
cord-010715-91fob3ax	140	3	,	,	PUNCT
cord-010715-91fob3ax	140	4	numerical	numerical	ADJ
cord-010715-91fob3ax	140	5	results	result	NOUN
cord-010715-91fob3ax	140	6	for	for	ADP
cord-010715-91fob3ax	140	7	ψ	ψ	PROPN
cord-010715-91fob3ax	140	8	s	s	PROPN
cord-010715-91fob3ax	140	9	approach	approach	NOUN
cord-010715-91fob3ax	140	10	ψ	ψ	PROPN
cord-010715-91fob3ax	140	11	s	s	PROPN
cord-010715-91fob3ax	140	12	=	=	NOUN
cord-010715-91fob3ax	140	13	1(ψ	1(ψ	NUM
cord-010715-91fob3ax	140	14	s	s	SYM
cord-010715-91fob3ax	140	15	=	=	NOUN
cord-010715-91fob3ax	140	16	0	0	NUM
cord-010715-91fob3ax	140	17	)	)	PUNCT
cord-010715-91fob3ax	140	18	for	for	ADP
cord-010715-91fob3ax	140	19	λ	λ	PROPN
cord-010715-91fob3ax	140	20	<	<	X
cord-010715-91fob3ax	140	21	λ	λ	X
cord-010715-91fob3ax	140	22	c2	c2	PROPN
cord-010715-91fob3ax	140	23	(	(	PUNCT
cord-010715-91fob3ax	140	24	λ	λ	PROPN
cord-010715-91fob3ax	140	25	>	>	X
cord-010715-91fob3ax	140	26	λ	λ	X
cord-010715-91fob3ax	140	27	c2	c2	PROPN
cord-010715-91fob3ax	140	28	)	)	PUNCT
cord-010715-91fob3ax	140	29	as	as	ADP
cord-010715-91fob3ax	140	30	n	n	DET
cord-010715-91fob3ax	140	31	increases	increase	NOUN
cord-010715-91fob3ax	140	32	and	and	CCONJ
cord-010715-91fob3ax	140	33	have	have	VERB
cord-010715-91fob3ax	140	34	a	a	DET
cord-010715-91fob3ax	140	35	crossing	crossing	NOUN
cord-010715-91fob3ax	140	36	point	point	NOUN
cord-010715-91fob3ax	140	37	at	at	ADP
cord-010715-91fob3ax	140	38	λ	λ	PROPN
cord-010715-91fob3ax	140	39	c2	c2	PROPN
cord-010715-91fob3ax	140	40	.	.	PUNCT
cord-010715-91fob3ax	141	1	from	from	ADP
cord-010715-91fob3ax	141	2	numerical	numerical	PROPN
cord-010715-91fob3ax	141	3	data	data	PROPN
cord-010715-91fob3ax	141	4	,	,	PUNCT
cord-010715-91fob3ax	141	5	we	we	PRON
cord-010715-91fob3ax	141	6	have	have	VERB
cord-010715-91fob3ax	141	7	ψ	ψ	PROPN
cord-010715-91fob3ax	142	1	c	c	X
cord-010715-91fob3ax	142	2	s	s	PROPN
cord-010715-91fob3ax	142	3	≡	≡	PROPN
cord-010715-91fob3ax	142	4	ψ	ψ	X
cord-010715-91fob3ax	142	5	s	s	PROPN
cord-010715-91fob3ax	143	1	(	(	PUNCT
cord-010715-91fob3ax	143	2	λ	λ	PROPN
cord-010715-91fob3ax	143	3	c2	c2	PROPN
cord-010715-91fob3ax	143	4	)	)	PUNCT
cord-010715-91fob3ax	143	5	2/3	2/3	NUM
cord-010715-91fob3ax	143	6	at	at	ADP
cord-010715-91fob3ax	143	7	λ	λ	PROPN
cord-010715-91fob3ax	143	8	c2	c2	PROPN
cord-010715-91fob3ax	143	9	0.615	0.615	NUM
cord-010715-91fob3ax	143	10	,	,	PUNCT
cord-010715-91fob3ax	143	11	which	which	PRON
cord-010715-91fob3ax	143	12	coincides	coincide	VERB
cord-010715-91fob3ax	143	13	well	well	ADV
cord-010715-91fob3ax	143	14	with	with	ADP
cord-010715-91fob3ax	143	15	our	our	PRON
cord-010715-91fob3ax	143	16	analytical	analytical	ADJ
cord-010715-91fob3ax	143	17	estimate	estimate	NOUN
cord-010715-91fob3ax	143	18	(	(	PUNCT
cord-010715-91fob3ax	143	19	vertical	vertical	ADJ
cord-010715-91fob3ax	143	20	line	line	NOUN
cord-010715-91fob3ax	143	21	in	in	ADP
cord-010715-91fob3ax	143	22	fig	fig	NOUN
cord-010715-91fob3ax	143	23	.	.	PUNCT
cord-010715-91fob3ax	144	1	2	2	NUM
cord-010715-91fob3ax	144	2	)	)	PUNCT
cord-010715-91fob3ax	144	3	.	.	PUNCT
cord-010715-91fob3ax	145	1	this	this	DET
cord-010715-91fob3ax	145	2	observation	observation	NOUN
cord-010715-91fob3ax	145	3	is	be	AUX
cord-010715-91fob3ax	145	4	also	also	ADV
cord-010715-91fob3ax	145	5	confirmed	confirm	VERB
cord-010715-91fob3ax	145	6	by	by	ADP
cord-010715-91fob3ax	145	7	a	a	DET
cord-010715-91fob3ax	145	8	finite	finite	ADJ
cord-010715-91fob3ax	145	9	-	-	PUNCT
cord-010715-91fob3ax	145	10	size	size	NOUN
cord-010715-91fob3ax	145	11	scaling	scaling	NOUN
cord-010715-91fob3ax	145	12	.	.	PUNCT
cord-010715-91fob3ax	146	1	as	as	ADP
cord-010715-91fob3ax	146	2	in	in	ADP
cord-010715-91fob3ax	146	3	[	[	X
cord-010715-91fob3ax	146	4	35	35	NUM
cord-010715-91fob3ax	146	5	]	]	PUNCT
cord-010715-91fob3ax	146	6	,	,	PUNCT
cord-010715-91fob3ax	146	7	we	we	PRON
cord-010715-91fob3ax	146	8	assume	assume	VERB
cord-010715-91fob3ax	146	9	a	a	DET
cord-010715-91fob3ax	146	10	scaling	scaling	NOUN
cord-010715-91fob3ax	146	11	form	form	NOUN
cord-010715-91fob3ax	146	12	for	for	ADP
cord-010715-91fob3ax	146	13	s	s	PROPN
cord-010715-91fob3ax	146	14	max	max	PROPN
cord-010715-91fob3ax	146	15	(	(	PUNCT
cord-010715-91fob3ax	146	16	n	n	NOUN
cord-010715-91fob3ax	146	17	)	)	PUNCT
cord-010715-91fob3ax	146	18	as	as	ADP
cord-010715-91fob3ax	146	19	where	where	SCONJ
cord-010715-91fob3ax	146	20	λ	λ	PROPN
cord-010715-91fob3ax	146	21	=	=	PROPN
cord-010715-91fob3ax	146	22	|λ	|λ	PROPN
cord-010715-91fob3ax	146	23	c2	c2	PROPN
cord-010715-91fob3ax	146	24	−	−	PROPN
cord-010715-91fob3ax	146	25	λ|	λ|	PROPN
cord-010715-91fob3ax	146	26	,	,	PUNCT
cord-010715-91fob3ax	146	27	β	β	NOUN
cord-010715-91fob3ax	146	28	is	be	AUX
cord-010715-91fob3ax	146	29	the	the	DET
cord-010715-91fob3ax	146	30	critical	critical	ADJ
cord-010715-91fob3ax	146	31	exponent	exponent	NOUN
cord-010715-91fob3ax	146	32	related	relate	VERB
cord-010715-91fob3ax	146	33	to	to	ADP
cord-010715-91fob3ax	146	34	the	the	DET
cord-010715-91fob3ax	146	35	order	order	NOUN
cord-010715-91fob3ax	146	36	parameter	parameter	NOUN
cord-010715-91fob3ax	146	37	,	,	PUNCT
cord-010715-91fob3ax	146	38	s	s	PROPN
cord-010715-91fob3ax	146	39	max	max	PROPN
cord-010715-91fob3ax	146	40	∝	∝	PUNCT
cord-010715-91fob3ax	146	41	λ	λ	NOUN
cord-010715-91fob3ax	146	42	β	β	NOUN
cord-010715-91fob3ax	146	43	,	,	PUNCT
cord-010715-91fob3ax	146	44	and	and	CCONJ
cord-010715-91fob3ax	146	45	in	in	ADP
cord-010715-91fob3ax	146	46	fig	fig	PROPN
cord-010715-91fob3ax	146	47	.	.	PUNCT
cord-010715-91fob3ax	147	1	2(c	2(c	PUNCT
cord-010715-91fob3ax	147	2	)	)	PUNCT
cord-010715-91fob3ax	147	3	,	,	PUNCT
cord-010715-91fob3ax	147	4	our	our	PRON
cord-010715-91fob3ax	147	5	scaling	scaling	NOUN
cord-010715-91fob3ax	147	6	shows	show	VERB
cord-010715-91fob3ax	147	7	a	a	DET
cord-010715-91fob3ax	147	8	nice	nice	ADJ
cord-010715-91fob3ax	147	9	collapse	collapse	NOUN
cord-010715-91fob3ax	147	10	with	with	ADP
cord-010715-91fob3ax	147	11	ψ	ψ	PROPN
cord-010715-91fob3ax	147	12	c	c	PUNCT
cord-010715-91fob3ax	147	13	s	s	PROPN
cord-010715-91fob3ax	147	14	=	=	NOUN
cord-010715-91fob3ax	147	15	2/3	2/3	NUM
cord-010715-91fob3ax	147	16	and	and	CCONJ
cord-010715-91fob3ax	147	17	β	β	NOUN
cord-010715-91fob3ax	147	18	=	=	NOUN
cord-010715-91fob3ax	147	19	1	1	NUM
cord-010715-91fob3ax	147	20	.	.	PUNCT
cord-010715-91fob3ax	147	21	because	because	SCONJ
cord-010715-91fob3ax	147	22	ψ	ψ	X
cord-010715-91fob3ax	147	23	c	c	PUNCT
cord-010715-91fob3ax	147	24	s	s	PROPN
cord-010715-91fob3ax	147	25	is	be	AUX
cord-010715-91fob3ax	147	26	related	relate	VERB
cord-010715-91fob3ax	147	27	to	to	ADP
cord-010715-91fob3ax	147	28	another	another	DET
cord-010715-91fob3ax	147	29	critical	critical	ADJ
cord-010715-91fob3ax	147	30	exponent	exponent	NOUN
cord-010715-91fob3ax	147	31	τ	τ	PROPN
cord-010715-91fob3ax	147	32	as	as	ADP
cord-010715-91fob3ax	147	33	ψ	ψ	PROPN
cord-010715-91fob3ax	147	34	c	c	X
cord-010715-91fob3ax	147	35	s	s	PROPN
cord-010715-91fob3ax	147	36	=	=	NOUN
cord-010715-91fob3ax	147	37	(	(	PUNCT
cord-010715-91fob3ax	147	38	τ	τ	PROPN
cord-010715-91fob3ax	147	39	−	−	NUM
cord-010715-91fob3ax	147	40	1	1	NUM
cord-010715-91fob3ax	147	41	)	)	PUNCT
cord-010715-91fob3ax	147	42	−1	−1	NOUN
cord-010715-91fob3ax	148	1	[	[	X
cord-010715-91fob3ax	148	2	35	35	NUM
cord-010715-91fob3ax	148	3	]	]	PUNCT
cord-010715-91fob3ax	148	4	,	,	PUNCT
cord-010715-91fob3ax	148	5	where	where	SCONJ
cord-010715-91fob3ax	148	6	τ	τ	PROPN
cord-010715-91fob3ax	148	7	is	be	AUX
cord-010715-91fob3ax	148	8	associated	associate	VERB
cord-010715-91fob3ax	148	9	with	with	ADP
cord-010715-91fob3ax	148	10	the	the	DET
cord-010715-91fob3ax	148	11	distribution	distribution	NOUN
cord-010715-91fob3ax	148	12	function	function	NOUN
cord-010715-91fob3ax	148	13	of	of	ADP
cord-010715-91fob3ax	148	14	s	s	PROPN
cord-010715-91fob3ax	148	15	components	component	NOUN
cord-010715-91fob3ax	148	16	n	n	PROPN
cord-010715-91fob3ax	148	17	s	s	PROPN
cord-010715-91fob3ax	148	18	(	(	PUNCT
cord-010715-91fob3ax	148	19	s	s	PROPN
cord-010715-91fob3ax	148	20	)	)	PUNCT
cord-010715-91fob3ax	148	21	at	at	ADP
cord-010715-91fob3ax	148	22	the	the	DET
cord-010715-91fob3ax	148	23	critical	critical	ADJ
cord-010715-91fob3ax	148	24	point	point	NOUN
cord-010715-91fob3ax	148	25	,	,	PUNCT
cord-010715-91fob3ax	148	26	n	n	NOUN
cord-010715-91fob3ax	148	27	s	s	PROPN
cord-010715-91fob3ax	148	28	(	(	PUNCT
cord-010715-91fob3ax	148	29	s	s	X
cord-010715-91fob3ax	148	30	)	)	PUNCT
cord-010715-91fob3ax	148	31	∝	∝	PUNCT
cord-010715-91fob3ax	148	32	s	s	X
cord-010715-91fob3ax	148	33	−τ	−τ	PROPN
cord-010715-91fob3ax	148	34	,	,	PUNCT
cord-010715-91fob3ax	148	35	these	these	DET
cord-010715-91fob3ax	148	36	exponents	exponent	NOUN
cord-010715-91fob3ax	148	37	mean	mean	VERB
cord-010715-91fob3ax	148	38	that	that	SCONJ
cord-010715-91fob3ax	148	39	the	the	DET
cord-010715-91fob3ax	148	40	percolation	percolation	NOUN
cord-010715-91fob3ax	148	41	transition	transition	NOUN
cord-010715-91fob3ax	148	42	of	of	ADP
cord-010715-91fob3ax	148	43	the	the	DET
cord-010715-91fob3ax	148	44	s	s	PROPN
cord-010715-91fob3ax	148	45	components	component	NOUN
cord-010715-91fob3ax	148	46	actually	actually	ADV
cord-010715-91fob3ax	148	47	occurs	occur	VERB
cord-010715-91fob3ax	148	48	at	at	ADP
cord-010715-91fob3ax	148	49	λ	λ	PROPN
cord-010715-91fob3ax	148	50	c2	c2	PROPN
cord-010715-91fob3ax	148	51	and	and	CCONJ
cord-010715-91fob3ax	148	52	belongs	belong	VERB
cord-010715-91fob3ax	148	53	to	to	ADP
cord-010715-91fob3ax	148	54	the	the	DET
cord-010715-91fob3ax	148	55	mean	mean	ADJ
cord-010715-91fob3ax	148	56	-	-	PUNCT
cord-010715-91fob3ax	148	57	field	field	NOUN
cord-010715-91fob3ax	148	58	universality	universality	NOUN
cord-010715-91fob3ax	148	59	class	class	NOUN
cord-010715-91fob3ax	148	60	such	such	ADJ
cord-010715-91fob3ax	148	61	that	that	AUX
cord-010715-91fob3ax	148	62	β	β	PROPN
cord-010715-91fob3ax	148	63	=	=	SYM
cord-010715-91fob3ax	148	64	1	1	NUM
cord-010715-91fob3ax	148	65	and	and	CCONJ
cord-010715-91fob3ax	148	66	τ	τ	NOUN
cord-010715-91fob3ax	148	67	=	=	NOUN
cord-010715-91fob3ax	148	68	5/2	5/2	NUM
cord-010715-91fob3ax	149	1	[	[	PUNCT
cord-010715-91fob3ax	149	2	36	36	NUM
cord-010715-91fob3ax	149	3	]	]	PUNCT
cord-010715-91fob3ax	149	4	.	.	PUNCT
cord-010715-91fob3ax	150	1	to	to	PART
cord-010715-91fob3ax	150	2	derive	derive	VERB
cord-010715-91fob3ax	150	3	λ	λ	PROPN
cord-010715-91fob3ax	150	4	c1	c1	PROPN
cord-010715-91fob3ax	150	5	for	for	ADP
cord-010715-91fob3ax	150	6	the	the	DET
cord-010715-91fob3ax	150	7	sir	sir	PROPN
cord-010715-91fob3ax	150	8	model	model	NOUN
cord-010715-91fob3ax	150	9	with	with	ADP
cord-010715-91fob3ax	150	10	multiple	multiple	ADJ
cord-010715-91fob3ax	150	11	seeds	seed	NOUN
cord-010715-91fob3ax	150	12	,	,	PUNCT
cord-010715-91fob3ax	150	13	we	we	PRON
cord-010715-91fob3ax	150	14	need	need	VERB
cord-010715-91fob3ax	150	15	to	to	PART
cord-010715-91fob3ax	150	16	calculate	calculate	VERB
cord-010715-91fob3ax	150	17	the	the	DET
cord-010715-91fob3ax	150	18	connectivity	connectivity	NOUN
cord-010715-91fob3ax	150	19	of	of	ADP
cord-010715-91fob3ax	150	20	the	the	DET
cord-010715-91fob3ax	150	21	r	r	NOUN
cord-010715-91fob3ax	150	22	components	component	NOUN
cord-010715-91fob3ax	150	23	generated	generate	VERB
cord-010715-91fob3ax	150	24	by	by	ADP
cord-010715-91fob3ax	150	25	each	each	DET
cord-010715-91fob3ax	150	26	seed	seed	NOUN
cord-010715-91fob3ax	150	27	.	.	PUNCT
cord-010715-91fob3ax	151	1	we	we	PRON
cord-010715-91fob3ax	151	2	should	should	AUX
cord-010715-91fob3ax	151	3	note	note	VERB
cord-010715-91fob3ax	151	4	that	that	SCONJ
cord-010715-91fob3ax	151	5	a	a	DET
cord-010715-91fob3ax	151	6	percolation	percolation	NOUN
cord-010715-91fob3ax	151	7	analysis	analysis	NOUN
cord-010715-91fob3ax	151	8	,	,	PUNCT
cord-010715-91fob3ax	151	9	as	as	ADP
cord-010715-91fob3ax	151	10	in	in	ADP
cord-010715-91fob3ax	151	11	the	the	DET
cord-010715-91fob3ax	151	12	previous	previous	ADJ
cord-010715-91fob3ax	151	13	subsection	subsection	NOUN
cord-010715-91fob3ax	151	14	,	,	PUNCT
cord-010715-91fob3ax	151	15	using	use	VERB
cord-010715-91fob3ax	151	16	the	the	DET
cord-010715-91fob3ax	151	17	degree	degree	NOUN
cord-010715-91fob3ax	151	18	distribution	distribution	NOUN
cord-010715-91fob3ax	151	19	of	of	ADP
cord-010715-91fob3ax	151	20	the	the	DET
cord-010715-91fob3ax	151	21	r	r	NOUN
cord-010715-91fob3ax	151	22	components	component	NOUN
cord-010715-91fob3ax	151	23	r	r	NOUN
cord-010715-91fob3ax	151	24	,	,	PUNCT
cord-010715-91fob3ax	151	25	0	0	NUM
cord-010715-91fob3ax	151	26	/r	/r	PRON
cord-010715-91fob3ax	151	27	is	be	AUX
cord-010715-91fob3ax	151	28	not	not	PART
cord-010715-91fob3ax	151	29	applicable	applicable	ADJ
cord-010715-91fob3ax	151	30	to	to	ADP
cord-010715-91fob3ax	151	31	this	this	DET
cord-010715-91fob3ax	151	32	case	case	NOUN
cord-010715-91fob3ax	151	33	,	,	PUNCT
cord-010715-91fob3ax	151	34	because	because	SCONJ
cord-010715-91fob3ax	151	35	such	such	DET
cord-010715-91fob3ax	151	36	an	an	DET
cord-010715-91fob3ax	151	37	analysis	analysis	NOUN
cord-010715-91fob3ax	151	38	ignores	ignore	VERB
cord-010715-91fob3ax	151	39	the	the	DET
cord-010715-91fob3ax	151	40	condition	condition	NOUN
cord-010715-91fob3ax	151	41	that	that	SCONJ
cord-010715-91fob3ax	151	42	each	each	DET
cord-010715-91fob3ax	151	43	r	r	NOUN
cord-010715-91fob3ax	151	44	component	component	NOUN
cord-010715-91fob3ax	151	45	is	be	AUX
cord-010715-91fob3ax	151	46	connected	connect	VERB
cord-010715-91fob3ax	151	47	.	.	PUNCT
cord-010715-91fob3ax	152	1	to	to	PART
cord-010715-91fob3ax	152	2	consider	consider	VERB
cord-010715-91fob3ax	152	3	the	the	DET
cord-010715-91fob3ax	152	4	connectivity	connectivity	NOUN
cord-010715-91fob3ax	152	5	of	of	ADP
cord-010715-91fob3ax	152	6	numerous	numerous	ADJ
cord-010715-91fob3ax	152	7	r	r	NOUN
cord-010715-91fob3ax	152	8	components	component	NOUN
cord-010715-91fob3ax	152	9	,	,	PUNCT
cord-010715-91fob3ax	152	10	we	we	PRON
cord-010715-91fob3ax	152	11	use	use	VERB
cord-010715-91fob3ax	152	12	the	the	DET
cord-010715-91fob3ax	152	13	following	following	ADJ
cord-010715-91fob3ax	152	14	procedure	procedure	NOUN
cord-010715-91fob3ax	152	15	:	:	PUNCT
cord-010715-91fob3ax	152	16	(	(	PUNCT
cord-010715-91fob3ax	152	17	i	i	NOUN
cord-010715-91fob3ax	152	18	)	)	PUNCT
cord-010715-91fob3ax	152	19	we	we	PRON
cord-010715-91fob3ax	152	20	first	first	ADV
cord-010715-91fob3ax	152	21	calculate	calculate	VERB
cord-010715-91fob3ax	152	22	the	the	DET
cord-010715-91fob3ax	152	23	probability	probability	NOUN
cord-010715-91fob3ax	152	24	,	,	PUNCT
cord-010715-91fob3ax	152	25	p	p	PROPN
cord-010715-91fob3ax	152	26	n	n	NOUN
cord-010715-91fob3ax	152	27	,	,	PUNCT
cord-010715-91fob3ax	152	28	that	that	SCONJ
cord-010715-91fob3ax	152	29	the	the	DET
cord-010715-91fob3ax	152	30	size	size	NOUN
cord-010715-91fob3ax	152	31	of	of	ADP
cord-010715-91fob3ax	152	32	the	the	DET
cord-010715-91fob3ax	152	33	r	r	NOUN
cord-010715-91fob3ax	152	34	component	component	NOUN
cord-010715-91fob3ax	152	35	generated	generate	VERB
cord-010715-91fob3ax	152	36	by	by	ADP
cord-010715-91fob3ax	152	37	a	a	DET
cord-010715-91fob3ax	152	38	single	single	ADJ
cord-010715-91fob3ax	152	39	seed	seed	NOUN
cord-010715-91fob3ax	152	40	is	be	AUX
cord-010715-91fob3ax	152	41	n.	n.	PROPN
cord-010715-91fob3ax	152	42	(	(	PUNCT
cord-010715-91fob3ax	152	43	ii	ii	PROPN
cord-010715-91fob3ax	152	44	)	)	PUNCT
cord-010715-91fob3ax	152	45	for	for	ADP
cord-010715-91fob3ax	152	46	the	the	DET
cord-010715-91fob3ax	152	47	case	case	NOUN
cord-010715-91fob3ax	152	48	of	of	ADP
cord-010715-91fob3ax	152	49	ρ	ρ	X
cord-010715-91fob3ax	152	50	>	>	X
cord-010715-91fob3ax	152	51	0	0	NUM
cord-010715-91fob3ax	152	52	,	,	PUNCT
cord-010715-91fob3ax	152	53	the	the	DET
cord-010715-91fob3ax	152	54	system	system	NOUN
cord-010715-91fob3ax	152	55	has	have	VERB
cord-010715-91fob3ax	152	56	numerous	numerous	ADJ
cord-010715-91fob3ax	152	57	r	r	NOUN
cord-010715-91fob3ax	152	58	components	component	NOUN
cord-010715-91fob3ax	152	59	proportional	proportional	ADJ
cord-010715-91fob3ax	152	60	to	to	ADP
cord-010715-91fob3ax	152	61	ρ	ρ	NUM
cord-010715-91fob3ax	152	62	.	.	PUNCT
cord-010715-91fob3ax	153	1	we	we	PRON
cord-010715-91fob3ax	153	2	regard	regard	VERB
cord-010715-91fob3ax	153	3	each	each	DET
cord-010715-91fob3ax	153	4	r	r	NOUN
cord-010715-91fob3ax	153	5	component	component	NOUN
cord-010715-91fob3ax	153	6	as	as	ADP
cord-010715-91fob3ax	153	7	a	a	DET
cord-010715-91fob3ax	153	8	supernode	supernode	NOUN
cord-010715-91fob3ax	153	9	.	.	PUNCT
cord-010715-91fob3ax	154	1	the	the	DET
cord-010715-91fob3ax	154	2	number	number	NOUN
cord-010715-91fob3ax	154	3	of	of	ADP
cord-010715-91fob3ax	154	4	nodes	node	NOUN
cord-010715-91fob3ax	154	5	confined	confine	VERB
cord-010715-91fob3ax	154	6	in	in	ADP
cord-010715-91fob3ax	154	7	a	a	DET
cord-010715-91fob3ax	154	8	supernode	supernode	NOUN
cord-010715-91fob3ax	154	9	obeys	obey	VERB
cord-010715-91fob3ax	154	10	the	the	DET
cord-010715-91fob3ax	154	11	distribution	distribution	NOUN
cord-010715-91fob3ax	154	12	p	p	NOUN
cord-010715-91fob3ax	154	13	n	n	NOUN
cord-010715-91fob3ax	154	14	,	,	PUNCT
cord-010715-91fob3ax	154	15	and	and	CCONJ
cord-010715-91fob3ax	154	16	its	its	PRON
cord-010715-91fob3ax	154	17	degree	degree	NOUN
cord-010715-91fob3ax	154	18	k	k	PROPN
cord-010715-91fob3ax	154	19	n	n	ADV
cord-010715-91fob3ax	154	20	is	be	AUX
cord-010715-91fob3ax	154	21	given	give	VERB
cord-010715-91fob3ax	154	22	accordingly	accordingly	ADV
cord-010715-91fob3ax	154	23	.	.	PUNCT
cord-010715-91fob3ax	155	1	(	(	PUNCT
cord-010715-91fob3ax	155	2	iii	iii	X
cord-010715-91fob3ax	155	3	)	)	PUNCT
cord-010715-91fob3ax	155	4	then	then	ADV
cord-010715-91fob3ax	155	5	we	we	PRON
cord-010715-91fob3ax	155	6	consider	consider	VERB
cord-010715-91fob3ax	155	7	a	a	DET
cord-010715-91fob3ax	155	8	site	site	NOUN
cord-010715-91fob3ax	155	9	percolation	percolation	NOUN
cord-010715-91fob3ax	155	10	problem	problem	NOUN
cord-010715-91fob3ax	155	11	of	of	ADP
cord-010715-91fob3ax	155	12	supernodes	supernode	NOUN
cord-010715-91fob3ax	155	13	.	.	PUNCT
cord-010715-91fob3ax	156	1	the	the	DET
cord-010715-91fob3ax	156	2	first	first	ADJ
cord-010715-91fob3ax	156	3	percolation	percolation	NOUN
cord-010715-91fob3ax	156	4	point	point	NOUN
cord-010715-91fob3ax	156	5	,	,	PUNCT
cord-010715-91fob3ax	156	6	λ	λ	PROPN
cord-010715-91fob3ax	156	7	c1	c1	PROPN
cord-010715-91fob3ax	156	8	,	,	PUNCT
cord-010715-91fob3ax	156	9	is	be	AUX
cord-010715-91fob3ax	156	10	given	give	VERB
cord-010715-91fob3ax	156	11	as	as	ADP
cord-010715-91fob3ax	156	12	the	the	DET
cord-010715-91fob3ax	156	13	critical	critical	ADJ
cord-010715-91fob3ax	156	14	point	point	NOUN
cord-010715-91fob3ax	156	15	where	where	SCONJ
cord-010715-91fob3ax	156	16	the	the	DET
cord-010715-91fob3ax	156	17	infinitely	infinitely	ADV
cord-010715-91fob3ax	156	18	connected	connected	ADJ
cord-010715-91fob3ax	156	19	component	component	NOUN
cord-010715-91fob3ax	156	20	of	of	ADP
cord-010715-91fob3ax	156	21	the	the	DET
cord-010715-91fob3ax	156	22	supernodes	supernode	NOUN
cord-010715-91fob3ax	156	23	appears	appear	VERB
cord-010715-91fob3ax	156	24	.	.	PUNCT
cord-010715-91fob3ax	157	1	in	in	ADP
cord-010715-91fob3ax	157	2	appendix	appendix	PROPN
cord-010715-91fob3ax	157	3	b	b	PROPN
cord-010715-91fob3ax	157	4	,	,	PUNCT
cord-010715-91fob3ax	157	5	we	we	PRON
cord-010715-91fob3ax	157	6	evaluate	evaluate	VERB
cord-010715-91fob3ax	157	7	the	the	DET
cord-010715-91fob3ax	157	8	mean	mean	ADJ
cord-010715-91fob3ax	157	9	size	size	NOUN
cord-010715-91fob3ax	157	10	of	of	ADP
cord-010715-91fob3ax	157	11	the	the	DET
cord-010715-91fob3ax	157	12	r	r	NOUN
cord-010715-91fob3ax	157	13	component	component	NOUN
cord-010715-91fob3ax	157	14	starting	start	VERB
cord-010715-91fob3ax	157	15	from	from	ADP
cord-010715-91fob3ax	157	16	a	a	DET
cord-010715-91fob3ax	157	17	single	single	ADJ
cord-010715-91fob3ax	157	18	seed	seed	NOUN
cord-010715-91fob3ax	157	19	,	,	PUNCT
cord-010715-91fob3ax	157	20	n	n	NOUN
cord-010715-91fob3ax	157	21	(=	(=	PUNCT
cord-010715-91fob3ax	157	22	n	n	NOUN
cord-010715-91fob3ax	157	23	p	p	PROPN
cord-010715-91fob3ax	157	24	n	n	NOUN
cord-010715-91fob3ax	157	25	n	n	PROPN
cord-010715-91fob3ax	157	26	)	)	PUNCT
cord-010715-91fob3ax	157	27	,	,	PUNCT
cord-010715-91fob3ax	157	28	and	and	CCONJ
cord-010715-91fob3ax	157	29	the	the	DET
cord-010715-91fob3ax	157	30	corresponding	corresponding	ADJ
cord-010715-91fob3ax	157	31	mean	mean	NOUN
cord-010715-91fob3ax	157	32	square	square	ADJ
cord-010715-91fob3ax	157	33	size	size	NOUN
cord-010715-91fob3ax	157	34	,	,	PUNCT
cord-010715-91fob3ax	157	35	n	n	NOUN
cord-010715-91fob3ax	157	36	2	2	NUM
cord-010715-91fob3ax	157	37	=	=	NOUN
cord-010715-91fob3ax	157	38	(	(	PUNCT
cord-010715-91fob3ax	157	39	n	n	NOUN
cord-010715-91fob3ax	157	40	p	p	PROPN
cord-010715-91fob3ax	157	41	n	n	NOUN
cord-010715-91fob3ax	157	42	n	n	NOUN
cord-010715-91fob3ax	157	43	2	2	NUM
cord-010715-91fob3ax	157	44	)	)	PUNCT
cord-010715-91fob3ax	157	45	,	,	PUNCT
cord-010715-91fob3ax	157	46	by	by	ADP
cord-010715-91fob3ax	157	47	using	use	VERB
cord-010715-91fob3ax	157	48	generating	generating	NOUN
cord-010715-91fob3ax	157	49	functions	function	NOUN
cord-010715-91fob3ax	157	50	.	.	PUNCT
cord-010715-91fob3ax	158	1	then	then	ADV
cord-010715-91fob3ax	158	2	we	we	PRON
cord-010715-91fob3ax	158	3	consider	consider	VERB
cord-010715-91fob3ax	158	4	the	the	DET
cord-010715-91fob3ax	158	5	case	case	NOUN
cord-010715-91fob3ax	158	6	of	of	ADP
cord-010715-91fob3ax	158	7	ρ	ρ	X
cord-010715-91fob3ax	158	8	>	>	X
cord-010715-91fob3ax	158	9	0	0	NUM
cord-010715-91fob3ax	158	10	.	.	PUNCT
cord-010715-91fob3ax	159	1	below	below	ADP
cord-010715-91fob3ax	159	2	λ	λ	PROPN
cord-010715-91fob3ax	159	3	c1	c1	PROPN
cord-010715-91fob3ax	159	4	,	,	PUNCT
cord-010715-91fob3ax	159	5	we	we	PRON
cord-010715-91fob3ax	159	6	naturally	naturally	ADV
cord-010715-91fob3ax	159	7	assume	assume	VERB
cord-010715-91fob3ax	159	8	that	that	SCONJ
cord-010715-91fob3ax	159	9	the	the	DET
cord-010715-91fob3ax	159	10	mean	mean	ADJ
cord-010715-91fob3ax	159	11	size	size	NOUN
cord-010715-91fob3ax	159	12	n	n	ADV
cord-010715-91fob3ax	159	13	is	be	AUX
cord-010715-91fob3ax	159	14	so	so	ADV
cord-010715-91fob3ax	159	15	small	small	ADJ
cord-010715-91fob3ax	159	16	that	that	SCONJ
cord-010715-91fob3ax	159	17	each	each	DET
cord-010715-91fob3ax	159	18	r	r	NOUN
cord-010715-91fob3ax	159	19	component	component	NOUN
cord-010715-91fob3ax	159	20	is	be	AUX
cord-010715-91fob3ax	159	21	a	a	DET
cord-010715-91fob3ax	159	22	tree	tree	NOUN
cord-010715-91fob3ax	159	23	[	[	X
cord-010715-91fob3ax	159	24	37	37	NUM
cord-010715-91fob3ax	159	25	]	]	PUNCT
cord-010715-91fob3ax	159	26	and	and	CCONJ
cord-010715-91fob3ax	159	27	that	that	SCONJ
cord-010715-91fob3ax	159	28	any	any	DET
cord-010715-91fob3ax	159	29	overlaps	overlap	NOUN
cord-010715-91fob3ax	159	30	between	between	ADP
cord-010715-91fob3ax	159	31	the	the	DET
cord-010715-91fob3ax	159	32	r	r	NOUN
cord-010715-91fob3ax	159	33	components	component	NOUN
cord-010715-91fob3ax	159	34	are	be	AUX
cord-010715-91fob3ax	159	35	negligible	negligible	ADJ
cord-010715-91fob3ax	159	36	so	so	SCONJ
cord-010715-91fob3ax	159	37	that	that	SCONJ
cord-010715-91fob3ax	159	38	the	the	DET
cord-010715-91fob3ax	159	39	total	total	ADJ
cord-010715-91fob3ax	159	40	fraction	fraction	NOUN
cord-010715-91fob3ax	159	41	of	of	ADP
cord-010715-91fob3ax	159	42	the	the	DET
cord-010715-91fob3ax	159	43	r	r	NOUN
cord-010715-91fob3ax	159	44	components	component	NOUN
cord-010715-91fob3ax	159	45	can	can	AUX
cord-010715-91fob3ax	159	46	be	be	AUX
cord-010715-91fob3ax	159	47	evaluated	evaluate	VERB
cord-010715-91fob3ax	159	48	as	as	ADP
cord-010715-91fob3ax	159	49	ρ	ρ	PRON
cord-010715-91fob3ax	159	50	n	n	X
cord-010715-91fob3ax	159	51	[	[	X
cord-010715-91fob3ax	159	52	38	38	NUM
cord-010715-91fob3ax	159	53	]	]	PUNCT
cord-010715-91fob3ax	159	54	,	,	PUNCT
cord-010715-91fob3ax	159	55	which	which	PRON
cord-010715-91fob3ax	159	56	should	should	AUX
cord-010715-91fob3ax	159	57	necessarily	necessarily	ADV
cord-010715-91fob3ax	159	58	be	be	AUX
cord-010715-91fob3ax	159	59	less	less	ADJ
cord-010715-91fob3ax	159	60	than	than	ADP
cord-010715-91fob3ax	159	61	1	1	NUM
cord-010715-91fob3ax	159	62	.	.	PUNCT
cord-010715-91fob3ax	160	1	then	then	ADV
cord-010715-91fob3ax	160	2	we	we	PRON
cord-010715-91fob3ax	160	3	can	can	AUX
cord-010715-91fob3ax	160	4	determine	determine	VERB
cord-010715-91fob3ax	160	5	the	the	DET
cord-010715-91fob3ax	160	6	creation	creation	NOUN
cord-010715-91fob3ax	160	7	process	process	NOUN
cord-010715-91fob3ax	160	8	of	of	ADP
cord-010715-91fob3ax	160	9	the	the	DET
cord-010715-91fob3ax	160	10	infinite	infinite	ADJ
cord-010715-91fob3ax	160	11	r	r	NOUN
cord-010715-91fob3ax	160	12	component	component	NOUN
cord-010715-91fob3ax	160	13	by	by	ADP
cord-010715-91fob3ax	160	14	regarding	regard	VERB
cord-010715-91fob3ax	160	15	each	each	DET
cord-010715-91fob3ax	160	16	r	r	NOUN
cord-010715-91fob3ax	160	17	component	component	NOUN
cord-010715-91fob3ax	160	18	of	of	ADP
cord-010715-91fob3ax	160	19	size	size	NOUN
cord-010715-91fob3ax	160	20	n	n	NOUN
cord-010715-91fob3ax	160	21	as	as	ADP
cord-010715-91fob3ax	160	22	a	a	DET
cord-010715-91fob3ax	160	23	supernode	supernode	NOUN
cord-010715-91fob3ax	160	24	whose	whose	DET
cord-010715-91fob3ax	160	25	degree	degree	NOUN
cord-010715-91fob3ax	160	26	depends	depend	VERB
cord-010715-91fob3ax	160	27	on	on	ADP
cord-010715-91fob3ax	160	28	n	n	ADV
cord-010715-91fob3ax	160	29	(	(	PUNCT
cord-010715-91fob3ax	160	30	see	see	VERB
cord-010715-91fob3ax	160	31	fig	fig	NOUN
cord-010715-91fob3ax	160	32	.	.	PUNCT
cord-010715-91fob3ax	160	33	3	3	NUM
cord-010715-91fob3ax	160	34	)	)	PUNCT
cord-010715-91fob3ax	160	35	and	and	CCONJ
cord-010715-91fob3ax	160	36	considering	consider	VERB
cord-010715-91fob3ax	160	37	the	the	DET
cord-010715-91fob3ax	160	38	percolation	percolation	NOUN
cord-010715-91fob3ax	160	39	problem	problem	NOUN
cord-010715-91fob3ax	160	40	of	of	ADP
cord-010715-91fob3ax	160	41	these	these	DET
cord-010715-91fob3ax	160	42	supernodes	supernode	NOUN
cord-010715-91fob3ax	160	43	.	.	PUNCT
cord-010715-91fob3ax	161	1	the	the	DET
cord-010715-91fob3ax	161	2	density	density	NOUN
cord-010715-91fob3ax	161	3	of	of	ADP
cord-010715-91fob3ax	161	4	susceptible	susceptible	ADJ
cord-010715-91fob3ax	161	5	nodes	node	NOUN
cord-010715-91fob3ax	161	6	,	,	PUNCT
cord-010715-91fob3ax	161	7	s	s	X
cord-010715-91fob3ax	161	8	,	,	PUNCT
cord-010715-91fob3ax	161	9	is	be	AUX
cord-010715-91fob3ax	161	10	just	just	ADV
cord-010715-91fob3ax	161	11	1	1	NUM
cord-010715-91fob3ax	161	12	minus	minus	ADP
cord-010715-91fob3ax	161	13	the	the	DET
cord-010715-91fob3ax	161	14	density	density	NOUN
cord-010715-91fob3ax	161	15	of	of	ADP
cord-010715-91fob3ax	161	16	the	the	DET
cord-010715-91fob3ax	161	17	removed	remove	VERB
cord-010715-91fob3ax	161	18	nodes	node	NOUN
cord-010715-91fob3ax	161	19	,	,	PUNCT
cord-010715-91fob3ax	161	20	ρ	ρ	NOUN
cord-010715-91fob3ax	161	21	n	n	ADV
cord-010715-91fob3ax	161	22	:	:	PUNCT
cord-010715-91fob3ax	161	23	then	then	ADV
cord-010715-91fob3ax	161	24	the	the	DET
cord-010715-91fob3ax	161	25	probabilityp	probabilityp	NOUN
cord-010715-91fob3ax	161	26	that	that	SCONJ
cord-010715-91fob3ax	161	27	the	the	DET
cord-010715-91fob3ax	161	28	node	node	NOUN
cord-010715-91fob3ax	161	29	reached	reach	VERB
cord-010715-91fob3ax	161	30	by	by	ADP
cord-010715-91fob3ax	161	31	following	follow	VERB
cord-010715-91fob3ax	161	32	a	a	DET
cord-010715-91fob3ax	161	33	randomly	randomly	ADV
cord-010715-91fob3ax	161	34	chosen	choose	VERB
cord-010715-91fob3ax	161	35	link	link	NOUN
cord-010715-91fob3ax	161	36	is	be	AUX
cord-010715-91fob3ax	161	37	a	a	DET
cord-010715-91fob3ax	161	38	component	component	NOUN
cord-010715-91fob3ax	161	39	of	of	ADP
cord-010715-91fob3ax	161	40	a	a	DET
cord-010715-91fob3ax	161	41	supernode	supernode	NOUN
cord-010715-91fob3ax	161	42	is	be	AUX
cord-010715-91fob3ax	162	1	p	p	NOUN
cord-010715-91fob3ax	162	2	=	=	NOUN
cord-010715-91fob3ax	162	3	ρ	ρ	X
cord-010715-91fob3ax	162	4	k	k	PROPN
cord-010715-91fob3ax	162	5	n	n	NOUN
cord-010715-91fob3ax	162	6	ρ	ρ	PROPN
cord-010715-91fob3ax	162	7	k	k	PROPN
cord-010715-91fob3ax	162	8	n	n	NOUN
cord-010715-91fob3ax	162	9	+	+	PUNCT
cord-010715-91fob3ax	162	10	zs	zs	NOUN
cord-010715-91fob3ax	162	11	,	,	PUNCT
cord-010715-91fob3ax	162	12	where	where	SCONJ
cord-010715-91fob3ax	162	13	k	k	PROPN
cord-010715-91fob3ax	162	14	n	n	PROPN
cord-010715-91fob3ax	162	15	is	be	AUX
cord-010715-91fob3ax	162	16	the	the	DET
cord-010715-91fob3ax	162	17	number	number	NOUN
cord-010715-91fob3ax	162	18	of	of	ADP
cord-010715-91fob3ax	162	19	external	external	ADJ
cord-010715-91fob3ax	162	20	links	link	NOUN
cord-010715-91fob3ax	162	21	of	of	ADP
cord-010715-91fob3ax	162	22	the	the	DET
cord-010715-91fob3ax	162	23	r	r	NOUN
cord-010715-91fob3ax	162	24	component	component	NOUN
cord-010715-91fob3ax	162	25	(	(	PUNCT
cord-010715-91fob3ax	162	26	the	the	DET
cord-010715-91fob3ax	162	27	degree	degree	NOUN
cord-010715-91fob3ax	162	28	of	of	ADP
cord-010715-91fob3ax	162	29	the	the	DET
cord-010715-91fob3ax	162	30	supernode	supernode	NOUN
cord-010715-91fob3ax	162	31	)	)	PUNCT
cord-010715-91fob3ax	162	32	having	have	VERB
cord-010715-91fob3ax	162	33	size	size	NOUN
cord-010715-91fob3ax	162	34	n	n	ADV
cord-010715-91fob3ax	162	35	and	and	CCONJ
cord-010715-91fob3ax	162	36	is	be	AUX
cord-010715-91fob3ax	162	37	given	give	VERB
cord-010715-91fob3ax	162	38	by	by	ADP
cord-010715-91fob3ax	162	39	equation	equation	NOUN
cord-010715-91fob3ax	162	40	(	(	PUNCT
cord-010715-91fob3ax	162	41	24	24	NUM
cord-010715-91fob3ax	162	42	)	)	PUNCT
cord-010715-91fob3ax	162	43	holds	hold	VERB
cord-010715-91fob3ax	162	44	since	since	SCONJ
cord-010715-91fob3ax	162	45	each	each	DET
cord-010715-91fob3ax	162	46	r	r	NOUN
cord-010715-91fob3ax	162	47	component	component	NOUN
cord-010715-91fob3ax	162	48	is	be	AUX
cord-010715-91fob3ax	162	49	a	a	DET
cord-010715-91fob3ax	162	50	tree	tree	NOUN
cord-010715-91fob3ax	162	51	with	with	ADP
cord-010715-91fob3ax	162	52	the	the	DET
cord-010715-91fob3ax	162	53	number	number	NOUN
cord-010715-91fob3ax	162	54	of	of	ADP
cord-010715-91fob3ax	162	55	edges	edge	NOUN
cord-010715-91fob3ax	162	56	equal	equal	ADJ
cord-010715-91fob3ax	162	57	to	to	ADP
cord-010715-91fob3ax	162	58	the	the	DET
cord-010715-91fob3ax	162	59	number	number	NOUN
cord-010715-91fob3ax	162	60	of	of	ADP
cord-010715-91fob3ax	162	61	nodes	node	NOUN
cord-010715-91fob3ax	162	62	minus	minus	ADP
cord-010715-91fob3ax	162	63	1	1	NUM
cord-010715-91fob3ax	162	64	.	.	PUNCT
cord-010715-91fob3ax	163	1	the	the	DET
cord-010715-91fob3ax	163	2	mean	mean	ADJ
cord-010715-91fob3ax	163	3	branching	branching	NOUN
cord-010715-91fob3ax	163	4	ratio	ratio	NOUN
cord-010715-91fob3ax	163	5	of	of	ADP
cord-010715-91fob3ax	163	6	supernodes	supernode	NOUN
cord-010715-91fob3ax	163	7	,	,	PUNCT
cord-010715-91fob3ax	163	8	b	b	PROPN
cord-010715-91fob3ax	163	9	,	,	PUNCT
cord-010715-91fob3ax	163	10	is	be	AUX
cord-010715-91fob3ax	163	11	evaluated	evaluate	VERB
cord-010715-91fob3ax	163	12	by	by	ADP
cord-010715-91fob3ax	163	13	multiplyingp	multiplyingp	NOUN
cord-010715-91fob3ax	163	14	by	by	ADP
cord-010715-91fob3ax	163	15	the	the	DET
cord-010715-91fob3ax	163	16	mean	mean	ADJ
cord-010715-91fob3ax	163	17	excess	excess	ADJ
cord-010715-91fob3ax	163	18	degree	degree	NOUN
cord-010715-91fob3ax	163	19	of	of	ADP
cord-010715-91fob3ax	163	20	supernodes	supernode	NOUN
cord-010715-91fob3ax	163	21	:	:	PUNCT
cord-010715-91fob3ax	163	22	the	the	DET
cord-010715-91fob3ax	163	23	percolation	percolation	NOUN
cord-010715-91fob3ax	163	24	of	of	ADP
cord-010715-91fob3ax	163	25	supernodes	supernode	NOUN
cord-010715-91fob3ax	163	26	takes	take	VERB
cord-010715-91fob3ax	163	27	place	place	NOUN
cord-010715-91fob3ax	163	28	when	when	SCONJ
cord-010715-91fob3ax	163	29	b	b	NOUN
cord-010715-91fob3ax	163	30	1	1	NUM
cord-010715-91fob3ax	163	31	,	,	PUNCT
cord-010715-91fob3ax	163	32	and	and	CCONJ
cord-010715-91fob3ax	163	33	thus	thus	ADV
cord-010715-91fob3ax	163	34	the	the	DET
cord-010715-91fob3ax	163	35	transition	transition	NOUN
cord-010715-91fob3ax	163	36	point	point	NOUN
cord-010715-91fob3ax	163	37	is	be	AUX
cord-010715-91fob3ax	163	38	given	give	VERB
cord-010715-91fob3ax	163	39	by	by	ADP
cord-010715-91fob3ax	163	40	b	b	PROPN
cord-010715-91fob3ax	163	41	=	=	SYM
cord-010715-91fob3ax	163	42	1	1	NUM
cord-010715-91fob3ax	163	43	.	.	PUNCT
cord-010715-91fob3ax	164	1	that	that	ADV
cord-010715-91fob3ax	164	2	is	is	ADV
cord-010715-91fob3ax	164	3	,	,	PUNCT
cord-010715-91fob3ax	164	4	λ	λ	PROPN
cord-010715-91fob3ax	164	5	c1	c1	PROPN
cord-010715-91fob3ax	164	6	satisfies	satisfy	VERB
cord-010715-91fob3ax	164	7	z	z	PROPN
cord-010715-91fob3ax	165	1	ρ	ρ	PROPN
cord-010715-91fob3ax	165	2	=	=	X
cord-010715-91fob3ax	165	3	k	k	NOUN
cord-010715-91fob3ax	165	4	n	n	PRON
cord-010715-91fob3ax	165	5	(	(	PUNCT
cord-010715-91fob3ax	165	6	k	k	PROPN
cord-010715-91fob3ax	165	7	n	n	NOUN
cord-010715-91fob3ax	165	8	−	−	PROPN
cord-010715-91fob3ax	165	9	2	2	NUM
cord-010715-91fob3ax	165	10	)	)	PUNCT
cord-010715-91fob3ax	165	11	+	+	NOUN
cord-010715-91fob3ax	166	1	z	z	NOUN
cord-010715-91fob3ax	166	2	n	n	NOUN
cord-010715-91fob3ax	166	3	where	where	SCONJ
cord-010715-91fob3ax	166	4	n	n	NOUN
cord-010715-91fob3ax	166	5	and	and	CCONJ
cord-010715-91fob3ax	166	6	n	n	NOUN
cord-010715-91fob3ax	166	7	2	2	NUM
cord-010715-91fob3ax	166	8	are	be	AUX
cord-010715-91fob3ax	166	9	functions	function	NOUN
cord-010715-91fob3ax	166	10	of	of	ADP
cord-010715-91fob3ax	166	11	λ	λ	PROPN
cord-010715-91fob3ax	166	12	.	.	PUNCT
cord-010715-91fob3ax	167	1	we	we	PRON
cord-010715-91fob3ax	167	2	can	can	AUX
cord-010715-91fob3ax	167	3	show	show	VERB
cord-010715-91fob3ax	167	4	that	that	SCONJ
cord-010715-91fob3ax	167	5	these	these	DET
cord-010715-91fob3ax	167	6	moments	moment	NOUN
cord-010715-91fob3ax	167	7	diverge	diverge	VERB
cord-010715-91fob3ax	167	8	as	as	ADP
cord-010715-91fob3ax	167	9	n	n	NOUN
cord-010715-91fob3ax	167	10	∼	∼	PROPN
cord-010715-91fob3ax	167	11	(	(	PUNCT
cord-010715-91fob3ax	167	12	λ	λ	PROPN
cord-010715-91fob3ax	167	13	sir	sir	PROPN
cord-010715-91fob3ax	167	14	c	c	PROPN
cord-010715-91fob3ax	167	15	−	−	PROPN
cord-010715-91fob3ax	167	16	λ	λ	PROPN
cord-010715-91fob3ax	167	17	)	)	PUNCT
cord-010715-91fob3ax	167	18	−1	−1	NOUN
cord-010715-91fob3ax	167	19	and	and	CCONJ
cord-010715-91fob3ax	167	20	n	n	ADV
cord-010715-91fob3ax	167	21	2	2	NUM
cord-010715-91fob3ax	167	22	∼	∼	PROPN
cord-010715-91fob3ax	167	23	(	(	PUNCT
cord-010715-91fob3ax	167	24	λ	λ	PROPN
cord-010715-91fob3ax	167	25	sir	sir	PROPN
cord-010715-91fob3ax	167	26	c	c	PROPN
cord-010715-91fob3ax	167	27	−	−	PROPN
cord-010715-91fob3ax	167	28	λ	λ	PROPN
cord-010715-91fob3ax	167	29	)	)	PUNCT
cord-010715-91fob3ax	167	30	−3	−3	NOUN
cord-010715-91fob3ax	167	31	when	when	SCONJ
cord-010715-91fob3ax	167	32	λ	λ	PROPN
cord-010715-91fob3ax	167	33	approaches	approach	VERB
cord-010715-91fob3ax	167	34	λ	λ	PROPN
cord-010715-91fob3ax	167	35	sir	sir	PROPN
cord-010715-91fob3ax	167	36	c	c	PROPN
cord-010715-91fob3ax	167	37	from	from	ADP
cord-010715-91fob3ax	167	38	below	below	ADV
cord-010715-91fob3ax	167	39	(	(	PUNCT
cord-010715-91fob3ax	167	40	see	see	VERB
cord-010715-91fob3ax	167	41	appendix	appendix	PROPN
cord-010715-91fob3ax	167	42	b	b	PROPN
cord-010715-91fob3ax	167	43	)	)	PUNCT
cord-010715-91fob3ax	167	44	,	,	PUNCT
cord-010715-91fob3ax	167	45	and	and	CCONJ
cord-010715-91fob3ax	167	46	therefore	therefore	ADV
cord-010715-91fob3ax	167	47	λ	λ	PROPN
cord-010715-91fob3ax	167	48	c1	c1	PROPN
cord-010715-91fob3ax	167	49	→	→	PUNCT
cord-010715-91fob3ax	168	1	λ	λ	PROPN
cord-010715-91fob3ax	169	1	sir	sir	PROPN
cord-010715-91fob3ax	169	2	c	c	PROPN
cord-010715-91fob3ax	169	3	as	as	ADP
cord-010715-91fob3ax	169	4	ρ	ρ	PROPN
cord-010715-91fob3ax	169	5	→	→	ADP
cord-010715-91fob3ax	169	6	0	0	NUM
cord-010715-91fob3ax	170	1	like	like	INTJ
cord-010715-91fob3ax	170	2	thus	thus	ADV
cord-010715-91fob3ax	170	3	,	,	PUNCT
cord-010715-91fob3ax	170	4	a	a	DET
cord-010715-91fob3ax	170	5	small	small	ADJ
cord-010715-91fob3ax	170	6	increase	increase	NOUN
cord-010715-91fob3ax	170	7	in	in	ADP
cord-010715-91fob3ax	170	8	ρ	ρ	PRON
cord-010715-91fob3ax	170	9	drastically	drastically	ADV
cord-010715-91fob3ax	170	10	reduces	reduce	VERB
cord-010715-91fob3ax	170	11	λ	λ	PROPN
cord-010715-91fob3ax	170	12	c1	c1	PROPN
cord-010715-91fob3ax	170	13	from	from	ADP
cord-010715-91fob3ax	170	14	λ	λ	PROPN
cord-010715-91fob3ax	170	15	sir	sir	PROPN
cord-010715-91fob3ax	170	16	c	c	PROPN
cord-010715-91fob3ax	170	17	.	.	PUNCT
cord-010715-91fob3ax	171	1	we	we	PRON
cord-010715-91fob3ax	171	2	approximately	approximately	ADV
cord-010715-91fob3ax	171	3	have	have	VERB
cord-010715-91fob3ax	171	4	the	the	DET
cord-010715-91fob3ax	171	5	fraction	fraction	NOUN
cord-010715-91fob3ax	171	6	of	of	ADP
cord-010715-91fob3ax	171	7	the	the	DET
cord-010715-91fob3ax	171	8	largest	large	ADJ
cord-010715-91fob3ax	171	9	r	r	NOUN
cord-010715-91fob3ax	171	10	component	component	NOUN
cord-010715-91fob3ax	171	11	,	,	PUNCT
cord-010715-91fob3ax	171	12	r	r	NOUN
cord-010715-91fob3ax	171	13	max	max	PROPN
cord-010715-91fob3ax	171	14	,	,	PUNCT
cord-010715-91fob3ax	171	15	by	by	ADP
cord-010715-91fob3ax	171	16	applying	apply	VERB
cord-010715-91fob3ax	171	17	a	a	DET
cord-010715-91fob3ax	171	18	procedure	procedure	NOUN
cord-010715-91fob3ax	171	19	similar	similar	ADJ
cord-010715-91fob3ax	171	20	to	to	ADP
cord-010715-91fob3ax	171	21	the	the	DET
cord-010715-91fob3ax	171	22	derivation	derivation	NOUN
cord-010715-91fob3ax	171	23	of	of	ADP
cord-010715-91fob3ax	171	24	s	s	PROPN
cord-010715-91fob3ax	171	25	max	max	PROPN
cord-010715-91fob3ax	171	26	to	to	ADP
cord-010715-91fob3ax	171	27	the	the	DET
cord-010715-91fob3ax	171	28	connected	connect	VERB
cord-010715-91fob3ax	171	29	components	component	NOUN
cord-010715-91fob3ax	171	30	of	of	ADP
cord-010715-91fob3ax	171	31	supernodes	supernode	NOUN
cord-010715-91fob3ax	171	32	(	(	PUNCT
cord-010715-91fob3ax	171	33	see	see	VERB
cord-010715-91fob3ax	171	34	appendix	appendix	PROPN
cord-010715-91fob3ax	171	35	c	c	PROPN
cord-010715-91fob3ax	171	36	)	)	PUNCT
cord-010715-91fob3ax	171	37	.	.	PUNCT
cord-010715-91fob3ax	172	1	this	this	DET
cord-010715-91fob3ax	172	2	approximation	approximation	NOUN
cord-010715-91fob3ax	172	3	may	may	AUX
cord-010715-91fob3ax	172	4	predict	predict	VERB
cord-010715-91fob3ax	172	5	a	a	DET
cord-010715-91fob3ax	172	6	rise	rise	NOUN
cord-010715-91fob3ax	172	7	of	of	ADP
cord-010715-91fob3ax	172	8	the	the	DET
cord-010715-91fob3ax	172	9	order	order	NOUN
cord-010715-91fob3ax	172	10	parameter	parameter	NOUN
cord-010715-91fob3ax	172	11	r	r	PROPN
cord-010715-91fob3ax	172	12	max	max	PROPN
cord-010715-91fob3ax	172	13	around	around	ADP
cord-010715-91fob3ax	172	14	λ	λ	PROPN
cord-010715-91fob3ax	172	15	c1	c1	PROPN
cord-010715-91fob3ax	172	16	but	but	CCONJ
cord-010715-91fob3ax	172	17	inherently	inherently	ADV
cord-010715-91fob3ax	172	18	overestimates	overestimate	VERB
cord-010715-91fob3ax	172	19	r	r	PROPN
cord-010715-91fob3ax	172	20	max	max	PROPN
cord-010715-91fob3ax	172	21	for	for	ADP
cord-010715-91fob3ax	172	22	λ	λ	X
cord-010715-91fob3ax	172	23	>	>	X
cord-010715-91fob3ax	172	24	λ	λ	PROPN
cord-010715-91fob3ax	172	25	c1	c1	PROPN
cord-010715-91fob3ax	172	26	due	due	ADP
cord-010715-91fob3ax	172	27	to	to	ADP
cord-010715-91fob3ax	172	28	the	the	DET
cord-010715-91fob3ax	172	29	overlaps	overlap	NOUN
cord-010715-91fob3ax	172	30	between	between	ADP
cord-010715-91fob3ax	172	31	the	the	DET
cord-010715-91fob3ax	172	32	r	r	NOUN
cord-010715-91fob3ax	172	33	components	component	NOUN
cord-010715-91fob3ax	172	34	generated	generate	VERB
cord-010715-91fob3ax	172	35	from	from	ADP
cord-010715-91fob3ax	172	36	each	each	DET
cord-010715-91fob3ax	172	37	seed	seed	NOUN
cord-010715-91fob3ax	172	38	being	be	AUX
cord-010715-91fob3ax	172	39	non	non	ADJ
cord-010715-91fob3ax	172	40	-	-	ADJ
cord-010715-91fob3ax	172	41	negligible	negligible	ADJ
cord-010715-91fob3ax	172	42	[	[	X
cord-010715-91fob3ax	172	43	see	see	VERB
cord-010715-91fob3ax	172	44	fig	fig	NOUN
cord-010715-91fob3ax	172	45	.	.	PUNCT
cord-010715-91fob3ax	173	1	4(a	4(a	PUNCT
cord-010715-91fob3ax	173	2	)	)	PUNCT
cord-010715-91fob3ax	174	1	]	]	PUNCT
cord-010715-91fob3ax	174	2	.	.	PUNCT
cord-010715-91fob3ax	175	1	we	we	PRON
cord-010715-91fob3ax	175	2	also	also	ADV
cord-010715-91fob3ax	175	3	check	check	VERB
cord-010715-91fob3ax	175	4	our	our	PRON
cord-010715-91fob3ax	175	5	estimate	estimate	NOUN
cord-010715-91fob3ax	175	6	by	by	ADP
cord-010715-91fob3ax	175	7	comparison	comparison	NOUN
cord-010715-91fob3ax	175	8	with	with	ADP
cord-010715-91fob3ax	175	9	monte	monte	PROPN
cord-010715-91fob3ax	175	10	carlo	carlo	PROPN
cord-010715-91fob3ax	175	11	simulations	simulation	NOUN
cord-010715-91fob3ax	175	12	.	.	PUNCT
cord-010715-91fob3ax	176	1	in	in	ADP
cord-010715-91fob3ax	176	2	figs	fig	NOUN
cord-010715-91fob3ax	176	3	.	.	PUNCT
cord-010715-91fob3ax	176	4	4(a	4(a	X
cord-010715-91fob3ax	176	5	)	)	PUNCT
cord-010715-91fob3ax	176	6	and	and	CCONJ
cord-010715-91fob3ax	176	7	4(b	4(b	X
cord-010715-91fob3ax	176	8	)	)	PUNCT
cord-010715-91fob3ax	176	9	,	,	PUNCT
cord-010715-91fob3ax	176	10	we	we	PRON
cord-010715-91fob3ax	176	11	plot	plot	VERB
cord-010715-91fob3ax	176	12	the	the	DET
cord-010715-91fob3ax	176	13	monte	monte	PROPN
cord-010715-91fob3ax	176	14	carlo	carlo	PROPN
cord-010715-91fob3ax	176	15	results	result	NOUN
cord-010715-91fob3ax	176	16	for	for	ADP
cord-010715-91fob3ax	176	17	the	the	DET
cord-010715-91fob3ax	176	18	order	order	NOUN
cord-010715-91fob3ax	176	19	parameter	parameter	NOUN
cord-010715-91fob3ax	176	20	,	,	PUNCT
cord-010715-91fob3ax	176	21	r	r	NOUN
cord-010715-91fob3ax	176	22	max	max	PROPN
cord-010715-91fob3ax	176	23	(	(	PUNCT
cord-010715-91fob3ax	176	24	n	n	NOUN
cord-010715-91fob3ax	176	25	)	)	PUNCT
cord-010715-91fob3ax	176	26	,	,	PUNCT
cord-010715-91fob3ax	176	27	and	and	CCONJ
cord-010715-91fob3ax	176	28	the	the	DET
cord-010715-91fob3ax	176	29	corresponding	corresponding	ADJ
cord-010715-91fob3ax	176	30	fractal	fractal	NOUN
cord-010715-91fob3ax	176	31	exponent	exponent	NOUN
cord-010715-91fob3ax	176	32	,	,	PUNCT
cord-010715-91fob3ax	176	33	ψ	ψ	NOUN
cord-010715-91fob3ax	176	34	r	r	NOUN
cord-010715-91fob3ax	176	35	(	(	PUNCT
cord-010715-91fob3ax	176	36	n	n	NOUN
cord-010715-91fob3ax	176	37	)	)	PUNCT
cord-010715-91fob3ax	176	38	≡	≡	X
cord-010715-91fob3ax	176	39	d	d	X
cord-010715-91fob3ax	176	40	ln	ln	PROPN
cord-010715-91fob3ax	176	41	r	r	PROPN
cord-010715-91fob3ax	176	42	max	max	PROPN
cord-010715-91fob3ax	176	43	(	(	PUNCT
cord-010715-91fob3ax	176	44	n	n	ADV
cord-010715-91fob3ax	176	45	)	)	PUNCT
cord-010715-91fob3ax	176	46	/d	/d	PUNCT
cord-010715-91fob3ax	177	1	ln	ln	PROPN
cord-010715-91fob3ax	177	2	n	n	NOUN
cord-010715-91fob3ax	177	3	.	.	PUNCT
cord-010715-91fob3ax	178	1	in	in	ADP
cord-010715-91fob3ax	178	2	a	a	DET
cord-010715-91fob3ax	178	3	manner	manner	NOUN
cord-010715-91fob3ax	178	4	similar	similar	ADJ
cord-010715-91fob3ax	178	5	to	to	ADP
cord-010715-91fob3ax	178	6	that	that	PRON
cord-010715-91fob3ax	178	7	in	in	ADP
cord-010715-91fob3ax	178	8	the	the	DET
cord-010715-91fob3ax	178	9	previous	previous	ADJ
cord-010715-91fob3ax	178	10	subsection	subsection	NOUN
cord-010715-91fob3ax	178	11	,	,	PUNCT
cord-010715-91fob3ax	178	12	we	we	PRON
cord-010715-91fob3ax	178	13	find	find	VERB
cord-010715-91fob3ax	178	14	that	that	SCONJ
cord-010715-91fob3ax	178	15	the	the	DET
cord-010715-91fob3ax	178	16	crossing	crossing	NOUN
cord-010715-91fob3ax	178	17	point	point	NOUN
cord-010715-91fob3ax	178	18	of	of	ADP
cord-010715-91fob3ax	178	19	ψ	ψ	PROPN
cord-010715-91fob3ax	178	20	r	r	NOUN
cord-010715-91fob3ax	178	21	is	be	AUX
cord-010715-91fob3ax	178	22	at	at	ADP
cord-010715-91fob3ax	178	23	our	our	PRON
cord-010715-91fob3ax	178	24	estimate	estimate	NOUN
cord-010715-91fob3ax	178	25	of	of	ADP
cord-010715-91fob3ax	178	26	λ	λ	PROPN
cord-010715-91fob3ax	178	27	c1	c1	PROPN
cord-010715-91fob3ax	178	28	,	,	PUNCT
cord-010715-91fob3ax	178	29	λ	λ	PROPN
cord-010715-91fob3ax	178	30	c1	c1	PROPN
cord-010715-91fob3ax	178	31	0.148	0.148	NUM
cord-010715-91fob3ax	178	32	.	.	PUNCT
cord-010715-91fob3ax	179	1	we	we	PRON
cord-010715-91fob3ax	179	2	also	also	ADV
cord-010715-91fob3ax	179	3	find	find	VERB
cord-010715-91fob3ax	179	4	a	a	DET
cord-010715-91fob3ax	179	5	good	good	ADJ
cord-010715-91fob3ax	179	6	scaling	scaling	NOUN
cord-010715-91fob3ax	179	7	result	result	NOUN
cord-010715-91fob3ax	179	8	for	for	ADP
cord-010715-91fob3ax	179	9	r	r	PROPN
cord-010715-91fob3ax	179	10	max	max	PROPN
cord-010715-91fob3ax	179	11	(	(	PUNCT
cord-010715-91fob3ax	179	12	n	n	ADV
cord-010715-91fob3ax	179	13	)	)	PUNCT
cord-010715-91fob3ax	179	14	using	use	VERB
cord-010715-91fob3ax	179	15	ψ	ψ	X
cord-010715-91fob3ax	179	16	c	c	X
cord-010715-91fob3ax	179	17	r	r	X
cord-010715-91fob3ax	180	1	≡	≡	X
cord-010715-91fob3ax	180	2	ψ	ψ	X
cord-010715-91fob3ax	181	1	r	r	NOUN
cord-010715-91fob3ax	181	2	(	(	PUNCT
cord-010715-91fob3ax	181	3	λ	λ	PROPN
cord-010715-91fob3ax	181	4	c1	c1	PROPN
cord-010715-91fob3ax	181	5	)	)	PUNCT
cord-010715-91fob3ax	181	6	=	=	NOUN
cord-010715-91fob3ax	181	7	2/3	2/3	NUM
cord-010715-91fob3ax	181	8	,	,	PUNCT
cord-010715-91fob3ax	181	9	β	β	NOUN
cord-010715-91fob3ax	181	10	=	=	NOUN
cord-010715-91fob3ax	181	11	1	1	NUM
cord-010715-91fob3ax	181	12	,	,	PUNCT
cord-010715-91fob3ax	181	13	and	and	CCONJ
cord-010715-91fob3ax	181	14	the	the	DET
cord-010715-91fob3ax	181	15	estimated	estimate	VERB
cord-010715-91fob3ax	181	16	λ	λ	PROPN
cord-010715-91fob3ax	181	17	c1	c1	PROPN
cord-010715-91fob3ax	182	1	[	[	X
cord-010715-91fob3ax	182	2	fig	fig	NOUN
cord-010715-91fob3ax	182	3	.	.	PUNCT
cord-010715-91fob3ax	182	4	4	4	NUM
cord-010715-91fob3ax	182	5	(	(	PUNCT
cord-010715-91fob3ax	182	6	c	c	NOUN
cord-010715-91fob3ax	182	7	)	)	PUNCT
cord-010715-91fob3ax	182	8	]	]	PUNCT
cord-010715-91fob3ax	182	9	,	,	PUNCT
cord-010715-91fob3ax	182	10	supporting	support	VERB
cord-010715-91fob3ax	182	11	the	the	DET
cord-010715-91fob3ax	182	12	validity	validity	NOUN
cord-010715-91fob3ax	182	13	of	of	ADP
cord-010715-91fob3ax	182	14	our	our	PRON
cord-010715-91fob3ax	182	15	estimate	estimate	NOUN
cord-010715-91fob3ax	182	16	and	and	CCONJ
cord-010715-91fob3ax	182	17	indicating	indicate	VERB
cord-010715-91fob3ax	182	18	that	that	SCONJ
cord-010715-91fob3ax	182	19	the	the	DET
cord-010715-91fob3ax	182	20	percolation	percolation	NOUN
cord-010715-91fob3ax	182	21	transition	transition	NOUN
cord-010715-91fob3ax	182	22	at	at	ADP
cord-010715-91fob3ax	182	23	λ	λ	PROPN
cord-010715-91fob3ax	182	24	c1	c1	PROPN
cord-010715-91fob3ax	182	25	belongs	belong	VERB
cord-010715-91fob3ax	182	26	to	to	ADP
cord-010715-91fob3ax	182	27	the	the	DET
cord-010715-91fob3ax	182	28	mean	mean	ADJ
cord-010715-91fob3ax	182	29	-	-	PUNCT
cord-010715-91fob3ax	182	30	field	field	NOUN
cord-010715-91fob3ax	182	31	universality	universality	NOUN
cord-010715-91fob3ax	182	32	class	class	NOUN
cord-010715-91fob3ax	182	33	.	.	PUNCT
cord-010715-91fob3ax	183	1	we	we	PRON
cord-010715-91fob3ax	183	2	analytically	analytically	ADV
cord-010715-91fob3ax	183	3	and	and	CCONJ
cord-010715-91fob3ax	183	4	numerically	numerically	ADV
cord-010715-91fob3ax	183	5	evaluate	evaluate	VERB
cord-010715-91fob3ax	183	6	λ	λ	PROPN
cord-010715-91fob3ax	183	7	c1	c1	PROPN
cord-010715-91fob3ax	183	8	and	and	CCONJ
cord-010715-91fob3ax	183	9	λ	λ	PROPN
cord-010715-91fob3ax	183	10	c2	c2	PROPN
cord-010715-91fob3ax	183	11	for	for	ADP
cord-010715-91fob3ax	183	12	several	several	ADJ
cord-010715-91fob3ax	183	13	values	value	NOUN
cord-010715-91fob3ax	183	14	of	of	ADP
cord-010715-91fob3ax	183	15	ρ	ρ	PRON
cord-010715-91fob3ax	183	16	.	.	PUNCT
cord-010715-91fob3ax	183	17	in	in	ADP
cord-010715-91fob3ax	183	18	fig	fig	NOUN
cord-010715-91fob3ax	183	19	.	.	PUNCT
cord-010715-91fob3ax	184	1	5	5	NUM
cord-010715-91fob3ax	184	2	,	,	PUNCT
cord-010715-91fob3ax	184	3	we	we	PRON
cord-010715-91fob3ax	184	4	have	have	VERB
cord-010715-91fob3ax	184	5	the	the	DET
cord-010715-91fob3ax	184	6	phase	phase	NOUN
cord-010715-91fob3ax	184	7	diagram	diagram	NOUN
cord-010715-91fob3ax	184	8	of	of	ADP
cord-010715-91fob3ax	184	9	(	(	PUNCT
cord-010715-91fob3ax	184	10	ρ	ρ	PROPN
cord-010715-91fob3ax	184	11	,	,	PUNCT
cord-010715-91fob3ax	184	12	λ	λ	PROPN
cord-010715-91fob3ax	184	13	)	)	PUNCT
cord-010715-91fob3ax	184	14	space	space	NOUN
cord-010715-91fob3ax	184	15	.	.	PUNCT
cord-010715-91fob3ax	185	1	we	we	PRON
cord-010715-91fob3ax	185	2	find	find	VERB
cord-010715-91fob3ax	185	3	that	that	SCONJ
cord-010715-91fob3ax	185	4	our	our	PRON
cord-010715-91fob3ax	185	5	estimates	estimate	NOUN
cord-010715-91fob3ax	185	6	of	of	ADP
cord-010715-91fob3ax	185	7	λ	λ	PROPN
cord-010715-91fob3ax	185	8	c1	c1	PROPN
cord-010715-91fob3ax	185	9	and	and	CCONJ
cord-010715-91fob3ax	185	10	λ	λ	PROPN
cord-010715-91fob3ax	185	11	c2	c2	PROPN
cord-010715-91fob3ax	185	12	perfectly	perfectly	ADV
cord-010715-91fob3ax	185	13	match	match	VERB
cord-010715-91fob3ax	185	14	the	the	DET
cord-010715-91fob3ax	185	15	monte	monte	PROPN
cord-010715-91fob3ax	185	16	carlo	carlo	PROPN
cord-010715-91fob3ax	185	17	results	results	PROPN
cord-010715-91fob3ax	185	18	.	.	PUNCT
cord-010715-91fob3ax	186	1	the	the	DET
cord-010715-91fob3ax	186	2	first	first	ADJ
cord-010715-91fob3ax	186	3	percolation	percolation	NOUN
cord-010715-91fob3ax	186	4	point	point	NOUN
cord-010715-91fob3ax	186	5	λ	λ	PROPN
cord-010715-91fob3ax	186	6	c1	c1	PROPN
cord-010715-91fob3ax	186	7	is	be	AUX
cord-010715-91fob3ax	186	8	smaller	small	ADJ
cord-010715-91fob3ax	186	9	than	than	ADP
cord-010715-91fob3ax	186	10	λ	λ	PROPN
cord-010715-91fob3ax	186	11	sir	sir	PROPN
cord-010715-91fob3ax	186	12	c	c	PROPN
cord-010715-91fob3ax	187	1	as	as	ADV
cord-010715-91fob3ax	187	2	long	long	ADV
cord-010715-91fob3ax	187	3	as	as	ADP
cord-010715-91fob3ax	187	4	ρ	ρ	X
cord-010715-91fob3ax	187	5	>	>	X
cord-010715-91fob3ax	187	6	0	0	NUM
cord-010715-91fob3ax	187	7	.	.	PUNCT
cord-010715-91fob3ax	188	1	that	that	ADV
cord-010715-91fob3ax	188	2	is	is	ADV
cord-010715-91fob3ax	188	3	,	,	PUNCT
cord-010715-91fob3ax	188	4	the	the	DET
cord-010715-91fob3ax	188	5	percolation	percolation	NOUN
cord-010715-91fob3ax	188	6	of	of	ADP
cord-010715-91fob3ax	188	7	the	the	DET
cord-010715-91fob3ax	188	8	r	r	NOUN
cord-010715-91fob3ax	188	9	components	component	NOUN
cord-010715-91fob3ax	188	10	occurs	occur	VERB
cord-010715-91fob3ax	188	11	without	without	ADP
cord-010715-91fob3ax	188	12	global	global	ADJ
cord-010715-91fob3ax	188	13	outbreaks	outbreak	NOUN
cord-010715-91fob3ax	188	14	.	.	PUNCT
cord-010715-91fob3ax	189	1	the	the	DET
cord-010715-91fob3ax	189	2	gap	gap	NOUN
cord-010715-91fob3ax	189	3	between	between	ADP
cord-010715-91fob3ax	189	4	λ	λ	PROPN
cord-010715-91fob3ax	189	5	c1	c1	PROPN
cord-010715-91fob3ax	189	6	and	and	CCONJ
cord-010715-91fob3ax	189	7	λ	λ	PROPN
cord-010715-91fob3ax	189	8	sir	sir	PROPN
cord-010715-91fob3ax	189	9	c	c	PROPN
cord-010715-91fob3ax	189	10	shrinks	shrink	VERB
cord-010715-91fob3ax	189	11	with	with	ADP
cord-010715-91fob3ax	189	12	decreasing	decrease	VERB
cord-010715-91fob3ax	189	13	ρ	ρ	PROPN
cord-010715-91fob3ax	189	14	and	and	CCONJ
cord-010715-91fob3ax	189	15	λ	λ	PROPN
cord-010715-91fob3ax	189	16	c1	c1	PROPN
cord-010715-91fob3ax	189	17	=	=	SYM
cord-010715-91fob3ax	189	18	λ	λ	PROPN
cord-010715-91fob3ax	190	1	sir	sir	NOUN
cord-010715-91fob3ax	190	2	in	in	ADP
cord-010715-91fob3ax	190	3	the	the	DET
cord-010715-91fob3ax	190	4	limit	limit	NOUN
cord-010715-91fob3ax	190	5	ρ	ρ	NOUN
cord-010715-91fob3ax	190	6	→	→	ADP
cord-010715-91fob3ax	190	7	0	0	NUM
cord-010715-91fob3ax	190	8	.	.	PUNCT
cord-010715-91fob3ax	190	9	note	note	VERB
cord-010715-91fob3ax	190	10	that	that	SCONJ
cord-010715-91fob3ax	190	11	λ	λ	PROPN
cord-010715-91fob3ax	190	12	c1	c1	PROPN
cord-010715-91fob3ax	190	13	=	=	SYM
cord-010715-91fob3ax	190	14	0	0	PUNCT
cord-010715-91fob3ax	190	15	when	when	SCONJ
cord-010715-91fob3ax	190	16	ρ	ρ	NOUN
cord-010715-91fob3ax	190	17	0.2	0.2	NUM
cord-010715-91fob3ax	190	18	because	because	SCONJ
cord-010715-91fob3ax	190	19	the	the	DET
cord-010715-91fob3ax	190	20	seeds	seed	NOUN
cord-010715-91fob3ax	190	21	themselves	themselves	PRON
cord-010715-91fob3ax	190	22	percolate	percolate	VERB
cord-010715-91fob3ax	190	23	(	(	PUNCT
cord-010715-91fob3ax	190	24	the	the	DET
cord-010715-91fob3ax	190	25	site	site	NOUN
cord-010715-91fob3ax	190	26	percolation	percolation	NOUN
cord-010715-91fob3ax	190	27	threshold	threshold	NOUN
cord-010715-91fob3ax	190	28	of	of	ADP
cord-010715-91fob3ax	190	29	the	the	DET
cord-010715-91fob3ax	190	30	z	z	PROPN
cord-010715-91fob3ax	190	31	-	-	PUNCT
cord-010715-91fob3ax	190	32	rrg	rrg	PROPN
cord-010715-91fob3ax	190	33	is	be	AUX
cord-010715-91fob3ax	190	34	1/(z	1/(z	NUM
cord-010715-91fob3ax	190	35	−	−	SYM
cord-010715-91fob3ax	190	36	1	1	NUM
cord-010715-91fob3ax	190	37	)	)	PUNCT
cord-010715-91fob3ax	190	38	,	,	PUNCT
cord-010715-91fob3ax	190	39	which	which	PRON
cord-010715-91fob3ax	190	40	is	be	AUX
cord-010715-91fob3ax	190	41	derived	derive	VERB
cord-010715-91fob3ax	190	42	from	from	ADP
cord-010715-91fob3ax	190	43	the	the	DET
cord-010715-91fob3ax	190	44	local	local	ADJ
cord-010715-91fob3ax	190	45	tree	tree	NOUN
cord-010715-91fob3ax	190	46	approximation	approximation	NOUN
cord-010715-91fob3ax	190	47	[	[	PUNCT
cord-010715-91fob3ax	190	48	5	5	NUM
cord-010715-91fob3ax	190	49	,	,	PUNCT
cord-010715-91fob3ax	190	50	6	6	NUM
cord-010715-91fob3ax	190	51	]	]	PUNCT
cord-010715-91fob3ax	190	52	)	)	PUNCT
cord-010715-91fob3ax	190	53	,	,	PUNCT
cord-010715-91fob3ax	190	54	and	and	CCONJ
cord-010715-91fob3ax	190	55	λ	λ	PROPN
cord-010715-91fob3ax	190	56	c2	c2	PROPN
cord-010715-91fob3ax	190	57	=	=	SYM
cord-010715-91fob3ax	190	58	0	0	PUNCT
cord-010715-91fob3ax	190	59	when	when	SCONJ
cord-010715-91fob3ax	190	60	ρ	ρ	PROPN
cord-010715-91fob3ax	190	61	0.8	0.8	NUM
cord-010715-91fob3ax	190	62	because	because	SCONJ
cord-010715-91fob3ax	190	63	the	the	DET
cord-010715-91fob3ax	190	64	seeds	seed	NOUN
cord-010715-91fob3ax	190	65	themselves	themselves	PRON
cord-010715-91fob3ax	190	66	disintegrate	disintegrate	VERB
cord-010715-91fob3ax	190	67	the	the	DET
cord-010715-91fob3ax	190	68	susceptible	susceptible	ADJ
cord-010715-91fob3ax	190	69	network	network	NOUN
cord-010715-91fob3ax	190	70	into	into	ADP
cord-010715-91fob3ax	190	71	finite	finite	NOUN
cord-010715-91fob3ax	190	72	components	component	NOUN
cord-010715-91fob3ax	190	73	.	.	PUNCT
cord-010715-91fob3ax	191	1	our	our	PRON
cord-010715-91fob3ax	191	2	finite	finite	ADJ
cord-010715-91fob3ax	191	3	-	-	PUNCT
cord-010715-91fob3ax	191	4	size	size	NOUN
cord-010715-91fob3ax	191	5	scaling	scaling	NOUN
cord-010715-91fob3ax	191	6	for	for	ADP
cord-010715-91fob3ax	191	7	several	several	ADJ
cord-010715-91fob3ax	191	8	values	value	NOUN
cord-010715-91fob3ax	191	9	of	of	ADP
cord-010715-91fob3ax	191	10	ρ	ρ	PRON
cord-010715-91fob3ax	191	11	shows	show	VERB
cord-010715-91fob3ax	191	12	that	that	SCONJ
cord-010715-91fob3ax	191	13	both	both	CCONJ
cord-010715-91fob3ax	191	14	percolation	percolation	NOUN
cord-010715-91fob3ax	191	15	transitions	transition	NOUN
cord-010715-91fob3ax	191	16	at	at	ADP
cord-010715-91fob3ax	191	17	λ	λ	PROPN
cord-010715-91fob3ax	191	18	c1	c1	PROPN
cord-010715-91fob3ax	191	19	and	and	CCONJ
cord-010715-91fob3ax	191	20	λ	λ	PROPN
cord-010715-91fob3ax	191	21	c2	c2	PROPN
cord-010715-91fob3ax	191	22	belong	belong	VERB
cord-010715-91fob3ax	191	23	to	to	ADP
cord-010715-91fob3ax	191	24	the	the	DET
cord-010715-91fob3ax	191	25	meanfield	meanfield	PROPN
cord-010715-91fob3ax	191	26	universality	universality	NOUN
cord-010715-91fob3ax	191	27	class	class	NOUN
cord-010715-91fob3ax	191	28	,	,	PUNCT
cord-010715-91fob3ax	191	29	irrespective	irrespective	ADV
cord-010715-91fob3ax	191	30	of	of	ADP
cord-010715-91fob3ax	191	31	the	the	DET
cord-010715-91fob3ax	191	32	value	value	NOUN
cord-010715-91fob3ax	191	33	of	of	ADP
cord-010715-91fob3ax	191	34	ρ	ρ	NUM
cord-010715-91fob3ax	191	35	.	.	PUNCT
cord-010715-91fob3ax	192	1	this	this	PRON
cord-010715-91fob3ax	192	2	seems	seem	VERB
cord-010715-91fob3ax	192	3	unsurprising	unsurprising	ADJ
cord-010715-91fob3ax	192	4	because	because	SCONJ
cord-010715-91fob3ax	192	5	the	the	DET
cord-010715-91fob3ax	192	6	two	two	NUM
cord-010715-91fob3ax	192	7	processes	process	NOUN
cord-010715-91fob3ax	192	8	comprising	comprise	VERB
cord-010715-91fob3ax	192	9	the	the	DET
cord-010715-91fob3ax	192	10	present	present	ADJ
cord-010715-91fob3ax	192	11	model	model	NOUN
cord-010715-91fob3ax	192	12	,	,	PUNCT
cord-010715-91fob3ax	192	13	the	the	DET
cord-010715-91fob3ax	192	14	sir	sir	PROPN
cord-010715-91fob3ax	192	15	model	model	NOUN
cord-010715-91fob3ax	192	16	and	and	CCONJ
cord-010715-91fob3ax	192	17	site	site	NOUN
cord-010715-91fob3ax	192	18	percolation	percolation	NOUN
cord-010715-91fob3ax	192	19	,	,	PUNCT
cord-010715-91fob3ax	192	20	belong	belong	VERB
cord-010715-91fob3ax	192	21	to	to	ADP
cord-010715-91fob3ax	192	22	the	the	DET
cord-010715-91fob3ax	192	23	mean	mean	ADJ
cord-010715-91fob3ax	192	24	-	-	PUNCT
cord-010715-91fob3ax	192	25	field	field	NOUN
cord-010715-91fob3ax	192	26	universality	universality	NOUN
cord-010715-91fob3ax	192	27	class	class	NOUN
cord-010715-91fob3ax	192	28	of	of	ADP
cord-010715-91fob3ax	192	29	percolation	percolation	NOUN
cord-010715-91fob3ax	192	30	when	when	SCONJ
cord-010715-91fob3ax	192	31	the	the	DET
cord-010715-91fob3ax	192	32	graph	graph	NOUN
cord-010715-91fob3ax	192	33	is	be	AUX
cord-010715-91fob3ax	192	34	rrg	rrg	PROPN
cord-010715-91fob3ax	192	35	.	.	PUNCT
cord-010715-91fob3ax	193	1	when	when	SCONJ
cord-010715-91fob3ax	193	2	ρ	ρ	PROPN
cord-010715-91fob3ax	193	3	>	>	X
cord-010715-91fob3ax	193	4	0	0	NUM
cord-010715-91fob3ax	193	5	,	,	PUNCT
cord-010715-91fob3ax	193	6	the	the	DET
cord-010715-91fob3ax	193	7	system	system	NOUN
cord-010715-91fob3ax	193	8	does	do	AUX
cord-010715-91fob3ax	193	9	not	not	PART
cord-010715-91fob3ax	193	10	show	show	VERB
cord-010715-91fob3ax	193	11	any	any	DET
cord-010715-91fob3ax	193	12	singular	singular	ADJ
cord-010715-91fob3ax	193	13	behavior	behavior	NOUN
cord-010715-91fob3ax	193	14	at	at	ADP
cord-010715-91fob3ax	193	15	λ	λ	PROPN
cord-010715-91fob3ax	193	16	sir	sir	PROPN
cord-010715-91fob3ax	193	17	c	c	PROPN
cord-010715-91fob3ax	193	18	.	.	PUNCT
cord-010715-91fob3ax	194	1	however	however	ADV
cord-010715-91fob3ax	194	2	,	,	PUNCT
cord-010715-91fob3ax	194	3	this	this	PRON
cord-010715-91fob3ax	194	4	does	do	AUX
cord-010715-91fob3ax	194	5	not	not	PART
cord-010715-91fob3ax	194	6	mean	mean	VERB
cord-010715-91fob3ax	194	7	that	that	SCONJ
cord-010715-91fob3ax	194	8	λ	λ	PROPN
cord-010715-91fob3ax	194	9	sir	sir	PROPN
cord-010715-91fob3ax	194	10	c	c	PROPN
cord-010715-91fob3ax	194	11	is	be	AUX
cord-010715-91fob3ax	194	12	unimportant	unimportant	ADJ
cord-010715-91fob3ax	194	13	.	.	PUNCT
cord-010715-91fob3ax	195	1	in	in	ADP
cord-010715-91fob3ax	195	2	practice	practice	NOUN
cord-010715-91fob3ax	195	3	,	,	PUNCT
cord-010715-91fob3ax	195	4	λ	λ	PROPN
cord-010715-91fob3ax	195	5	sir	sir	PROPN
cord-010715-91fob3ax	195	6	c	c	PROPN
cord-010715-91fob3ax	195	7	is	be	AUX
cord-010715-91fob3ax	195	8	still	still	ADV
cord-010715-91fob3ax	195	9	an	an	DET
cord-010715-91fob3ax	195	10	important	important	ADJ
cord-010715-91fob3ax	195	11	measure	measure	NOUN
cord-010715-91fob3ax	195	12	in	in	ADP
cord-010715-91fob3ax	195	13	the	the	DET
cord-010715-91fob3ax	195	14	strategy	strategy	NOUN
cord-010715-91fob3ax	195	15	for	for	ADP
cord-010715-91fob3ax	195	16	disease	disease	NOUN
cord-010715-91fob3ax	195	17	control	control	NOUN
cord-010715-91fob3ax	195	18	because	because	SCONJ
cord-010715-91fob3ax	195	19	a	a	DET
cord-010715-91fob3ax	195	20	single	single	ADJ
cord-010715-91fob3ax	195	21	seed	seed	NOUN
cord-010715-91fob3ax	195	22	has	have	VERB
cord-010715-91fob3ax	195	23	the	the	DET
cord-010715-91fob3ax	195	24	potential	potential	NOUN
cord-010715-91fob3ax	195	25	to	to	PART
cord-010715-91fob3ax	195	26	induce	induce	VERB
cord-010715-91fob3ax	195	27	a	a	DET
cord-010715-91fob3ax	195	28	global	global	ADJ
cord-010715-91fob3ax	195	29	outbreak	outbreak	NOUN
cord-010715-91fob3ax	195	30	above	above	ADP
cord-010715-91fob3ax	195	31	λ	λ	PROPN
cord-010715-91fob3ax	196	1	sir	sir	PROPN
cord-010715-91fob3ax	196	2	c	c	PROPN
cord-010715-91fob3ax	196	3	(	(	PUNCT
cord-010715-91fob3ax	196	4	in	in	ADP
cord-010715-91fob3ax	196	5	other	other	ADJ
cord-010715-91fob3ax	196	6	words	word	NOUN
cord-010715-91fob3ax	196	7	,	,	PUNCT
cord-010715-91fob3ax	196	8	the	the	DET
cord-010715-91fob3ax	196	9	basic	basic	ADJ
cord-010715-91fob3ax	196	10	reproduction	reproduction	NOUN
cord-010715-91fob3ax	196	11	number	number	NOUN
cord-010715-91fob3ax	196	12	r	r	NOUN
cord-010715-91fob3ax	196	13	0	0	NUM
cord-010715-91fob3ax	196	14	>	>	SYM
cord-010715-91fob3ax	196	15	1	1	NUM
cord-010715-91fob3ax	196	16	when	when	SCONJ
cord-010715-91fob3ax	196	17	λ	λ	PROPN
cord-010715-91fob3ax	196	18	>	>	X
cord-010715-91fob3ax	196	19	λ	λ	PROPN
cord-010715-91fob3ax	197	1	sir	sir	PROPN
cord-010715-91fob3ax	197	2	c	c	PROPN
cord-010715-91fob3ax	197	3	)	)	PUNCT
cord-010715-91fob3ax	197	4	.	.	PUNCT
cord-010715-91fob3ax	198	1	the	the	DET
cord-010715-91fob3ax	198	2	singular	singular	ADJ
cord-010715-91fob3ax	198	3	behaviors	behavior	NOUN
cord-010715-91fob3ax	198	4	at	at	ADP
cord-010715-91fob3ax	198	5	λ	λ	PROPN
cord-010715-91fob3ax	198	6	c1	c1	PROPN
cord-010715-91fob3ax	198	7	,	,	PUNCT
cord-010715-91fob3ax	198	8	e.g.	e.g.	ADV
cord-010715-91fob3ax	198	9	,	,	PUNCT
cord-010715-91fob3ax	198	10	the	the	DET
cord-010715-91fob3ax	198	11	divergence	divergence	NOUN
cord-010715-91fob3ax	198	12	of	of	ADP
cord-010715-91fob3ax	198	13	the	the	DET
cord-010715-91fob3ax	198	14	r	r	NOUN
cord-010715-91fob3ax	198	15	susceptibility	susceptibility	NOUN
cord-010715-91fob3ax	198	16	,	,	PUNCT
cord-010715-91fob3ax	198	17	may	may	AUX
cord-010715-91fob3ax	198	18	be	be	AUX
cord-010715-91fob3ax	198	19	interpreted	interpret	VERB
cord-010715-91fob3ax	198	20	as	as	ADP
cord-010715-91fob3ax	198	21	a	a	DET
cord-010715-91fob3ax	198	22	precursor	precursor	NOUN
cord-010715-91fob3ax	198	23	to	to	ADP
cord-010715-91fob3ax	198	24	global	global	ADJ
cord-010715-91fob3ax	198	25	outbreaks	outbreak	NOUN
cord-010715-91fob3ax	198	26	,	,	PUNCT
cord-010715-91fob3ax	198	27	like	like	ADP
cord-010715-91fob3ax	198	28	the	the	DET
cord-010715-91fob3ax	198	29	proverbial	proverbial	ADJ
cord-010715-91fob3ax	198	30	canary	canary	NOUN
cord-010715-91fob3ax	198	31	in	in	ADP
cord-010715-91fob3ax	198	32	a	a	DET
cord-010715-91fob3ax	198	33	coal	coal	NOUN
cord-010715-91fob3ax	198	34	mine	mine	NOUN
cord-010715-91fob3ax	198	35	.	.	PUNCT
cord-010715-91fob3ax	199	1	we	we	PRON
cord-010715-91fob3ax	199	2	have	have	AUX
cord-010715-91fob3ax	199	3	numerically	numerically	ADV
cord-010715-91fob3ax	199	4	and	and	CCONJ
cord-010715-91fob3ax	199	5	analytically	analytically	ADV
cord-010715-91fob3ax	199	6	shown	show	VERB
cord-010715-91fob3ax	199	7	that	that	SCONJ
cord-010715-91fob3ax	199	8	the	the	DET
cord-010715-91fob3ax	199	9	present	present	ADJ
cord-010715-91fob3ax	199	10	model	model	NOUN
cord-010715-91fob3ax	199	11	with	with	ADP
cord-010715-91fob3ax	199	12	multiple	multiple	ADJ
cord-010715-91fob3ax	199	13	seeds	seed	NOUN
cord-010715-91fob3ax	199	14	on	on	ADP
cord-010715-91fob3ax	199	15	the	the	DET
cord-010715-91fob3ax	199	16	rrg	rrg	NOUN
cord-010715-91fob3ax	199	17	percolates	percolate	NOUN
cord-010715-91fob3ax	199	18	at	at	ADP
cord-010715-91fob3ax	199	19	a	a	DET
cord-010715-91fob3ax	199	20	lower	low	ADJ
cord-010715-91fob3ax	199	21	infection	infection	NOUN
cord-010715-91fob3ax	199	22	rate	rate	NOUN
cord-010715-91fob3ax	199	23	than	than	ADP
cord-010715-91fob3ax	199	24	the	the	DET
cord-010715-91fob3ax	199	25	epidemic	epidemic	NOUN
cord-010715-91fob3ax	199	26	threshold	threshold	NOUN
cord-010715-91fob3ax	199	27	.	.	PUNCT
cord-010715-91fob3ax	200	1	is	be	AUX
cord-010715-91fob3ax	200	2	this	this	DET
cord-010715-91fob3ax	200	3	phenomenon	phenomenon	NOUN
cord-010715-91fob3ax	200	4	in	in	ADP
cord-010715-91fob3ax	200	5	common	common	ADJ
cord-010715-91fob3ax	200	6	with	with	ADP
cord-010715-91fob3ax	200	7	other	other	ADJ
cord-010715-91fob3ax	200	8	networks	network	NOUN
cord-010715-91fob3ax	200	9	,	,	PUNCT
cord-010715-91fob3ax	200	10	e.g.	e.g.	ADV
cord-010715-91fob3ax	200	11	,	,	PUNCT
cord-010715-91fob3ax	200	12	networks	network	NOUN
cord-010715-91fob3ax	200	13	with	with	ADP
cord-010715-91fob3ax	200	14	many	many	ADJ
cord-010715-91fob3ax	200	15	short	short	ADJ
cord-010715-91fob3ax	200	16	loops	loop	NOUN
cord-010715-91fob3ax	200	17	and	and	CCONJ
cord-010715-91fob3ax	200	18	without	without	ADP
cord-010715-91fob3ax	200	19	the	the	DET
cord-010715-91fob3ax	200	20	logarithmic	logarithmic	ADJ
cord-010715-91fob3ax	200	21	dependence	dependence	NOUN
cord-010715-91fob3ax	200	22	of	of	ADP
cord-010715-91fob3ax	200	23	the	the	DET
cord-010715-91fob3ax	200	24	mean	mean	ADJ
cord-010715-91fob3ax	200	25	shortest	short	ADJ
cord-010715-91fob3ax	200	26	path	path	NOUN
cord-010715-91fob3ax	200	27	?	?	PUNCT
cord-010715-91fob3ax	201	1	in	in	ADP
cord-010715-91fob3ax	201	2	the	the	DET
cord-010715-91fob3ax	201	3	rest	rest	NOUN
cord-010715-91fob3ax	201	4	of	of	ADP
cord-010715-91fob3ax	201	5	this	this	DET
cord-010715-91fob3ax	201	6	section	section	NOUN
cord-010715-91fob3ax	201	7	,	,	PUNCT
cord-010715-91fob3ax	201	8	we	we	PRON
cord-010715-91fob3ax	201	9	briefly	briefly	ADV
cord-010715-91fob3ax	201	10	consider	consider	VERB
cord-010715-91fob3ax	201	11	the	the	DET
cord-010715-91fob3ax	201	12	sir	sir	PROPN
cord-010715-91fob3ax	201	13	model	model	NOUN
cord-010715-91fob3ax	201	14	with	with	ADP
cord-010715-91fob3ax	201	15	multiple	multiple	ADJ
cord-010715-91fob3ax	201	16	seeds	seed	NOUN
cord-010715-91fob3ax	201	17	on	on	ADP
cord-010715-91fob3ax	201	18	finitedimensional	finitedimensional	ADJ
cord-010715-91fob3ax	201	19	euclidean	euclidean	ADJ
cord-010715-91fob3ax	201	20	lattices	lattice	NOUN
cord-010715-91fob3ax	201	21	by	by	ADP
cord-010715-91fob3ax	201	22	monte	monte	PROPN
cord-010715-91fob3ax	201	23	carlo	carlo	PROPN
cord-010715-91fob3ax	201	24	simulations	simulation	NOUN
cord-010715-91fob3ax	201	25	.	.	PUNCT
cord-010715-91fob3ax	202	1	first	first	ADV
cord-010715-91fob3ax	202	2	,	,	PUNCT
cord-010715-91fob3ax	202	3	we	we	PRON
cord-010715-91fob3ax	202	4	consider	consider	VERB
cord-010715-91fob3ax	202	5	the	the	DET
cord-010715-91fob3ax	202	6	cubic	cubic	ADJ
cord-010715-91fob3ax	202	7	lattice	lattice	NOUN
cord-010715-91fob3ax	202	8	with	with	ADP
cord-010715-91fob3ax	202	9	the	the	DET
cord-010715-91fob3ax	202	10	periodic	periodic	ADJ
cord-010715-91fob3ax	202	11	boundary	boundary	ADJ
cord-010715-91fob3ax	202	12	condition	condition	NOUN
cord-010715-91fob3ax	202	13	.	.	PUNCT
cord-010715-91fob3ax	203	1	in	in	ADP
cord-010715-91fob3ax	203	2	monte	monte	PROPN
cord-010715-91fob3ax	203	3	carlo	carlo	PROPN
cord-010715-91fob3ax	203	4	simulations	simulation	NOUN
cord-010715-91fob3ax	203	5	,	,	PUNCT
cord-010715-91fob3ax	203	6	we	we	PRON
cord-010715-91fob3ax	203	7	set	set	VERB
cord-010715-91fob3ax	203	8	μ	μ	NOUN
cord-010715-91fob3ax	203	9	=	=	SYM
cord-010715-91fob3ax	203	10	1	1	NUM
cord-010715-91fob3ax	203	11	,	,	PUNCT
cord-010715-91fob3ax	203	12	ρ	ρ	NOUN
cord-010715-91fob3ax	203	13	=	=	NOUN
cord-010715-91fob3ax	203	14	0.01	0.01	NUM
cord-010715-91fob3ax	203	15	,	,	PUNCT
cord-010715-91fob3ax	203	16	and	and	CCONJ
cord-010715-91fob3ax	203	17	n	n	NOUN
cord-010715-91fob3ax	203	18	=	=	NOUN
cord-010715-91fob3ax	203	19	40	40	NUM
cord-010715-91fob3ax	203	20	3	3	NUM
cord-010715-91fob3ax	203	21	,	,	PUNCT
cord-010715-91fob3ax	203	22	50	50	NUM
cord-010715-91fob3ax	203	23	3	3	NUM
cord-010715-91fob3ax	203	24	,	,	PUNCT
cord-010715-91fob3ax	203	25	60	60	NUM
cord-010715-91fob3ax	203	26	3	3	NUM
cord-010715-91fob3ax	203	27	,	,	PUNCT
cord-010715-91fob3ax	203	28	70	70	NUM
cord-010715-91fob3ax	203	29	3	3	NUM
cord-010715-91fob3ax	203	30	.	.	PUNCT
cord-010715-91fob3ax	204	1	the	the	DET
cord-010715-91fob3ax	204	2	number	number	NOUN
cord-010715-91fob3ax	204	3	of	of	ADP
cord-010715-91fob3ax	204	4	trials	trial	NOUN
cord-010715-91fob3ax	204	5	is	be	AUX
cord-010715-91fob3ax	204	6	50	50	NUM
cord-010715-91fob3ax	204	7	000	000	NUM
cord-010715-91fob3ax	204	8	.	.	PUNCT
cord-010715-91fob3ax	204	9	in	in	ADP
cord-010715-91fob3ax	204	10	fig	fig	NOUN
cord-010715-91fob3ax	204	11	.	.	PUNCT
cord-010715-91fob3ax	205	1	6(a	6(a	PUNCT
cord-010715-91fob3ax	205	2	)	)	PUNCT
cord-010715-91fob3ax	205	3	,	,	PUNCT
cord-010715-91fob3ax	205	4	we	we	PRON
cord-010715-91fob3ax	205	5	show	show	VERB
cord-010715-91fob3ax	205	6	the	the	DET
cord-010715-91fob3ax	205	7	size	size	NOUN
cord-010715-91fob3ax	205	8	dependence	dependence	NOUN
cord-010715-91fob3ax	205	9	of	of	ADP
cord-010715-91fob3ax	205	10	the	the	DET
cord-010715-91fob3ax	205	11	order	order	NOUN
cord-010715-91fob3ax	205	12	parameters	parameter	NOUN
cord-010715-91fob3ax	205	13	,	,	PUNCT
cord-010715-91fob3ax	205	14	r	r	NOUN
cord-010715-91fob3ax	205	15	max	max	PROPN
cord-010715-91fob3ax	205	16	and	and	CCONJ
cord-010715-91fob3ax	205	17	s	s	PROPN
cord-010715-91fob3ax	205	18	max	max	PROPN
cord-010715-91fob3ax	205	19	.	.	PUNCT
cord-010715-91fob3ax	206	1	we	we	PRON
cord-010715-91fob3ax	206	2	find	find	VERB
cord-010715-91fob3ax	206	3	that	that	SCONJ
cord-010715-91fob3ax	206	4	r	r	PROPN
cord-010715-91fob3ax	206	5	max	max	PROPN
cord-010715-91fob3ax	206	6	and	and	CCONJ
cord-010715-91fob3ax	206	7	s	s	PROPN
cord-010715-91fob3ax	206	8	max	max	PROPN
cord-010715-91fob3ax	206	9	become	become	VERB
cord-010715-91fob3ax	206	10	nonzero	nonzero	NOUN
cord-010715-91fob3ax	206	11	and	and	CCONJ
cord-010715-91fob3ax	206	12	0	0	NUM
cord-010715-91fob3ax	206	13	at	at	ADP
cord-010715-91fob3ax	206	14	different	different	ADJ
cord-010715-91fob3ax	206	15	points	point	NOUN
cord-010715-91fob3ax	206	16	λ	λ	PROPN
cord-010715-91fob3ax	206	17	c1	c1	PROPN
cord-010715-91fob3ax	206	18	0.27	0.27	NUM
cord-010715-91fob3ax	206	19	and	and	CCONJ
cord-010715-91fob3ax	206	20	λ	λ	PROPN
cord-010715-91fob3ax	206	21	c2	c2	PROPN
cord-010715-91fob3ax	206	22	0.49	0.49	NUM
cord-010715-91fob3ax	206	23	,	,	PUNCT
cord-010715-91fob3ax	206	24	respectively	respectively	ADV
cord-010715-91fob3ax	206	25	.	.	PUNCT
cord-010715-91fob3ax	207	1	this	this	DET
cord-010715-91fob3ax	207	2	discrepancy	discrepancy	NOUN
cord-010715-91fob3ax	207	3	is	be	AUX
cord-010715-91fob3ax	207	4	also	also	ADV
cord-010715-91fob3ax	207	5	led	lead	VERB
cord-010715-91fob3ax	207	6	by	by	ADP
cord-010715-91fob3ax	207	7	the	the	DET
cord-010715-91fob3ax	207	8	peak	peak	NOUN
cord-010715-91fob3ax	207	9	positions	position	NOUN
cord-010715-91fob3ax	207	10	of	of	ADP
cord-010715-91fob3ax	207	11	r	r	NOUN
cord-010715-91fob3ax	207	12	susceptibility	susceptibility	NOUN
cord-010715-91fob3ax	207	13	and	and	CCONJ
cord-010715-91fob3ax	207	14	s	s	PRON
cord-010715-91fob3ax	207	15	susceptibility	susceptibility	NOUN
cord-010715-91fob3ax	207	16	,	,	PUNCT
cord-010715-91fob3ax	207	17	as	as	SCONJ
cord-010715-91fob3ax	207	18	shown	show	VERB
cord-010715-91fob3ax	207	19	in	in	ADP
cord-010715-91fob3ax	207	20	fig	fig	PROPN
cord-010715-91fob3ax	207	21	.	.	PUNCT
cord-010715-91fob3ax	208	1	6(b	6(b	PUNCT
cord-010715-91fob3ax	208	2	)	)	PUNCT
cord-010715-91fob3ax	208	3	.	.	PUNCT
cord-010715-91fob3ax	209	1	both	both	CCONJ
cord-010715-91fob3ax	209	2	λ	λ	PROPN
cord-010715-91fob3ax	209	3	c1	c1	PROPN
cord-010715-91fob3ax	209	4	and	and	CCONJ
cord-010715-91fob3ax	209	5	λ	λ	PROPN
cord-010715-91fob3ax	209	6	c2	c2	PROPN
cord-010715-91fob3ax	209	7	are	be	AUX
cord-010715-91fob3ax	209	8	also	also	ADV
cord-010715-91fob3ax	209	9	different	different	ADJ
cord-010715-91fob3ax	209	10	from	from	ADP
cord-010715-91fob3ax	209	11	the	the	DET
cord-010715-91fob3ax	209	12	epidemic	epidemic	NOUN
cord-010715-91fob3ax	209	13	threshold	threshold	NOUN
cord-010715-91fob3ax	210	1	λ	λ	PROPN
cord-010715-91fob3ax	211	1	sir	sir	PROPN
cord-010715-91fob3ax	211	2	c	c	PROPN
cord-010715-91fob3ax	211	3	,	,	PUNCT
cord-010715-91fob3ax	211	4	which	which	PRON
cord-010715-91fob3ax	211	5	is	be	AUX
cord-010715-91fob3ax	211	6	obtained	obtain	VERB
cord-010715-91fob3ax	211	7	from	from	ADP
cord-010715-91fob3ax	211	8	the	the	DET
cord-010715-91fob3ax	211	9	single	single	ADJ
cord-010715-91fob3ax	211	10	-	-	PUNCT
cord-010715-91fob3ax	211	11	seed	seed	NOUN
cord-010715-91fob3ax	211	12	simulations	simulation	NOUN
cord-010715-91fob3ax	211	13	(	(	PUNCT
cord-010715-91fob3ax	211	14	not	not	PART
cord-010715-91fob3ax	211	15	shown	show	VERB
cord-010715-91fob3ax	211	16	)	)	PUNCT
cord-010715-91fob3ax	211	17	.	.	PUNCT
cord-010715-91fob3ax	212	1	starting	start	VERB
cord-010715-91fob3ax	212	2	from	from	ADP
cord-010715-91fob3ax	212	3	a	a	DET
cord-010715-91fob3ax	212	4	single	single	ADJ
cord-010715-91fob3ax	212	5	seed	seed	NOUN
cord-010715-91fob3ax	212	6	,	,	PUNCT
cord-010715-91fob3ax	212	7	r	r	NOUN
cord-010715-91fob3ax	212	8	max	max	PROPN
cord-010715-91fob3ax	213	1	(=	(=	X
cord-010715-91fob3ax	213	2	r	r	NOUN
cord-010715-91fob3ax	213	3	)	)	PUNCT
cord-010715-91fob3ax	213	4	becomes	become	VERB
cord-010715-91fob3ax	213	5	nonzero	nonzero	NOUN
cord-010715-91fob3ax	213	6	at	at	ADP
cord-010715-91fob3ax	213	7	λ	λ	PROPN
cord-010715-91fob3ax	213	8	sir	sir	PROPN
cord-010715-91fob3ax	213	9	c	c	PROPN
cord-010715-91fob3ax	213	10	0.36	0.36	NUM
cord-010715-91fob3ax	213	11	,	,	PUNCT
cord-010715-91fob3ax	213	12	which	which	PRON
cord-010715-91fob3ax	213	13	is	be	AUX
cord-010715-91fob3ax	213	14	larger	large	ADJ
cord-010715-91fob3ax	213	15	than	than	ADP
cord-010715-91fob3ax	213	16	λ	λ	PROPN
cord-010715-91fob3ax	213	17	c1	c1	PROPN
cord-010715-91fob3ax	213	18	.	.	PUNCT
cord-010715-91fob3ax	214	1	then	then	ADV
cord-010715-91fob3ax	214	2	we	we	PRON
cord-010715-91fob3ax	214	3	have	have	VERB
cord-010715-91fob3ax	214	4	the	the	DET
cord-010715-91fob3ax	214	5	discrepancy	discrepancy	NOUN
cord-010715-91fob3ax	214	6	among	among	ADP
cord-010715-91fob3ax	214	7	λ	λ	PROPN
cord-010715-91fob3ax	214	8	c1	c1	PROPN
cord-010715-91fob3ax	214	9	,	,	PUNCT
cord-010715-91fob3ax	214	10	λ	λ	PROPN
cord-010715-91fob3ax	214	11	sir	sir	PROPN
cord-010715-91fob3ax	214	12	c	c	PROPN
cord-010715-91fob3ax	214	13	,	,	PUNCT
cord-010715-91fob3ax	214	14	and	and	CCONJ
cord-010715-91fob3ax	214	15	λ	λ	PROPN
cord-010715-91fob3ax	214	16	c2	c2	PROPN
cord-010715-91fob3ax	214	17	,	,	PUNCT
cord-010715-91fob3ax	214	18	on	on	ADP
cord-010715-91fob3ax	214	19	the	the	DET
cord-010715-91fob3ax	214	20	cubic	cubic	ADJ
cord-010715-91fob3ax	214	21	lattice	lattice	NOUN
cord-010715-91fob3ax	214	22	,	,	PUNCT
cord-010715-91fob3ax	214	23	and	and	CCONJ
cord-010715-91fob3ax	214	24	expect	expect	VERB
cord-010715-91fob3ax	214	25	that	that	SCONJ
cord-010715-91fob3ax	214	26	the	the	DET
cord-010715-91fob3ax	214	27	observed	observe	VERB
cord-010715-91fob3ax	214	28	phenomena	phenomenon	NOUN
cord-010715-91fob3ax	214	29	on	on	ADP
cord-010715-91fob3ax	214	30	the	the	DET
cord-010715-91fob3ax	214	31	rrg	rrg	NOUN
cord-010715-91fob3ax	214	32	will	will	AUX
cord-010715-91fob3ax	214	33	hold	hold	VERB
cord-010715-91fob3ax	214	34	for	for	ADP
cord-010715-91fob3ax	214	35	other	other	ADJ
cord-010715-91fob3ax	214	36	clustered	cluster	VERB
cord-010715-91fob3ax	214	37	networks	network	NOUN
cord-010715-91fob3ax	214	38	.	.	PUNCT
cord-010715-91fob3ax	215	1	a	a	DET
cord-010715-91fob3ax	215	2	qualitative	qualitative	ADJ
cord-010715-91fob3ax	215	3	difference	difference	NOUN
cord-010715-91fob3ax	215	4	between	between	ADP
cord-010715-91fob3ax	215	5	the	the	DET
cord-010715-91fob3ax	215	6	cubic	cubic	ADJ
cord-010715-91fob3ax	215	7	lattice	lattice	NOUN
cord-010715-91fob3ax	215	8	and	and	CCONJ
cord-010715-91fob3ax	215	9	the	the	DET
cord-010715-91fob3ax	215	10	rrg	rrg	NOUN
cord-010715-91fob3ax	215	11	is	be	AUX
cord-010715-91fob3ax	215	12	in	in	ADP
cord-010715-91fob3ax	215	13	their	their	PRON
cord-010715-91fob3ax	215	14	universality	universality	NOUN
cord-010715-91fob3ax	215	15	class	class	NOUN
cord-010715-91fob3ax	215	16	.	.	PUNCT
cord-010715-91fob3ax	216	1	from	from	ADP
cord-010715-91fob3ax	216	2	the	the	DET
cord-010715-91fob3ax	216	3	crossings	crossing	NOUN
cord-010715-91fob3ax	216	4	of	of	ADP
cord-010715-91fob3ax	216	5	the	the	DET
cord-010715-91fob3ax	216	6	fractal	fractal	NOUN
cord-010715-91fob3ax	216	7	exponents	exponent	NOUN
cord-010715-91fob3ax	216	8	ψ	ψ	PROPN
cord-010715-91fob3ax	216	9	r	r	PROPN
cord-010715-91fob3ax	216	10	and	and	CCONJ
cord-010715-91fob3ax	216	11	ψ	ψ	PROPN
cord-010715-91fob3ax	216	12	s	s	PROPN
cord-010715-91fob3ax	216	13	,	,	PUNCT
cord-010715-91fob3ax	216	14	we	we	PRON
cord-010715-91fob3ax	216	15	have	have	VERB
cord-010715-91fob3ax	216	16	ψ	ψ	NUM
cord-010715-91fob3ax	217	1	c	c	X
cord-010715-91fob3ax	218	1	r	r	X
cord-010715-91fob3ax	218	2	ψ	ψ	PUNCT
cord-010715-91fob3ax	219	1	c	c	PUNCT
cord-010715-91fob3ax	219	2	s	s	PROPN
cord-010715-91fob3ax	219	3	0.84	0.84	NUM
cord-010715-91fob3ax	219	4	for	for	ADP
cord-010715-91fob3ax	219	5	the	the	DET
cord-010715-91fob3ax	219	6	cubic	cubic	ADJ
cord-010715-91fob3ax	219	7	lattice	lattice	NOUN
cord-010715-91fob3ax	219	8	(	(	PUNCT
cord-010715-91fob3ax	219	9	not	not	PART
cord-010715-91fob3ax	219	10	shown	show	VERB
cord-010715-91fob3ax	219	11	)	)	PUNCT
cord-010715-91fob3ax	219	12	,	,	PUNCT
cord-010715-91fob3ax	219	13	and	and	CCONJ
cord-010715-91fob3ax	219	14	this	this	DET
cord-010715-91fob3ax	219	15	estimate	estimate	NOUN
cord-010715-91fob3ax	219	16	means	mean	VERB
cord-010715-91fob3ax	219	17	that	that	SCONJ
cord-010715-91fob3ax	219	18	transitions	transition	NOUN
cord-010715-91fob3ax	219	19	of	of	ADP
cord-010715-91fob3ax	219	20	both	both	PRON
cord-010715-91fob3ax	219	21	r	r	NOUN
cord-010715-91fob3ax	219	22	components	component	NOUN
cord-010715-91fob3ax	219	23	and	and	CCONJ
cord-010715-91fob3ax	219	24	s	s	PROPN
cord-010715-91fob3ax	219	25	components	component	NOUN
cord-010715-91fob3ax	219	26	belong	belong	VERB
cord-010715-91fob3ax	219	27	to	to	ADP
cord-010715-91fob3ax	219	28	the	the	DET
cord-010715-91fob3ax	219	29	universality	universality	ADJ
cord-010715-91fob3ax	219	30	class	class	NOUN
cord-010715-91fob3ax	219	31	of	of	ADP
cord-010715-91fob3ax	219	32	three	three	NUM
cord-010715-91fob3ax	219	33	-	-	PUNCT
cord-010715-91fob3ax	219	34	dimensional	dimensional	ADJ
cord-010715-91fob3ax	219	35	percolation	percolation	NOUN
cord-010715-91fob3ax	219	36	transition	transition	NOUN
cord-010715-91fob3ax	220	1	[	[	X
cord-010715-91fob3ax	220	2	36	36	NUM
cord-010715-91fob3ax	220	3	]	]	PUNCT
cord-010715-91fob3ax	220	4	but	but	CCONJ
cord-010715-91fob3ax	220	5	not	not	PART
cord-010715-91fob3ax	220	6	to	to	ADP
cord-010715-91fob3ax	220	7	the	the	DET
cord-010715-91fob3ax	220	8	mean	mean	ADJ
cord-010715-91fob3ax	220	9	-	-	PUNCT
cord-010715-91fob3ax	220	10	field	field	NOUN
cord-010715-91fob3ax	220	11	universality	universality	NOUN
cord-010715-91fob3ax	220	12	class	class	NOUN
cord-010715-91fob3ax	220	13	.	.	PUNCT
cord-010715-91fob3ax	221	1	let	let	VERB
cord-010715-91fob3ax	221	2	us	we	PRON
cord-010715-91fob3ax	221	3	mention	mention	VERB
cord-010715-91fob3ax	221	4	a	a	DET
cord-010715-91fob3ax	221	5	special	special	ADJ
cord-010715-91fob3ax	221	6	case	case	NOUN
cord-010715-91fob3ax	221	7	,	,	PUNCT
cord-010715-91fob3ax	221	8	the	the	DET
cord-010715-91fob3ax	221	9	sir	sir	PROPN
cord-010715-91fob3ax	221	10	model	model	NOUN
cord-010715-91fob3ax	221	11	in	in	ADP
cord-010715-91fob3ax	221	12	the	the	DET
cord-010715-91fob3ax	221	13	square	square	ADJ
cord-010715-91fob3ax	221	14	lattice	lattice	NOUN
cord-010715-91fob3ax	221	15	with	with	ADP
cord-010715-91fob3ax	221	16	the	the	DET
cord-010715-91fob3ax	221	17	periodic	periodic	ADJ
cord-010715-91fob3ax	221	18	boundary	boundary	ADJ
cord-010715-91fob3ax	221	19	condition	condition	NOUN
cord-010715-91fob3ax	221	20	.	.	PUNCT
cord-010715-91fob3ax	222	1	in	in	ADP
cord-010715-91fob3ax	222	2	fig	fig	NOUN
cord-010715-91fob3ax	222	3	.	.	PUNCT
cord-010715-91fob3ax	223	1	7	7	NUM
cord-010715-91fob3ax	223	2	,	,	PUNCT
cord-010715-91fob3ax	223	3	we	we	PRON
cord-010715-91fob3ax	223	4	show	show	VERB
cord-010715-91fob3ax	223	5	the	the	DET
cord-010715-91fob3ax	223	6	monte	monte	PROPN
cord-010715-91fob3ax	223	7	carlo	carlo	PROPN
cord-010715-91fob3ax	223	8	results	result	NOUN
cord-010715-91fob3ax	223	9	.	.	PUNCT
cord-010715-91fob3ax	224	1	in	in	ADP
cord-010715-91fob3ax	224	2	this	this	DET
cord-010715-91fob3ax	224	3	case	case	NOUN
cord-010715-91fob3ax	224	4	,	,	PUNCT
cord-010715-91fob3ax	224	5	s	s	PROPN
cord-010715-91fob3ax	224	6	max	max	PROPN
cord-010715-91fob3ax	224	7	and	and	CCONJ
cord-010715-91fob3ax	224	8	r	r	NOUN
cord-010715-91fob3ax	224	9	max	max	PROPN
cord-010715-91fob3ax	224	10	seem	seem	VERB
cord-010715-91fob3ax	224	11	to	to	PART
cord-010715-91fob3ax	224	12	undergo	undergo	VERB
cord-010715-91fob3ax	224	13	a	a	DET
cord-010715-91fob3ax	224	14	macroscopic	macroscopic	ADJ
cord-010715-91fob3ax	224	15	change	change	NOUN
cord-010715-91fob3ax	224	16	at	at	ADP
cord-010715-91fob3ax	224	17	the	the	DET
cord-010715-91fob3ax	224	18	same	same	ADJ
cord-010715-91fob3ax	224	19	point	point	NOUN
cord-010715-91fob3ax	224	20	,	,	PUNCT
cord-010715-91fob3ax	224	21	i.e.	i.e.	X
cord-010715-91fob3ax	224	22	,	,	PUNCT
cord-010715-91fob3ax	224	23	λ	λ	PROPN
cord-010715-91fob3ax	224	24	c1	c1	PROPN
cord-010715-91fob3ax	224	25	=	=	SYM
cord-010715-91fob3ax	225	1	λ	λ	X
cord-010715-91fob3ax	225	2	c2	c2	PROPN
cord-010715-91fob3ax	225	3	0.91	0.91	NUM
cord-010715-91fob3ax	226	1	[	[	PUNCT
cord-010715-91fob3ax	226	2	see	see	VERB
cord-010715-91fob3ax	226	3	fig	fig	NOUN
cord-010715-91fob3ax	226	4	.	.	PUNCT
cord-010715-91fob3ax	226	5	7(a	7(a	NUM
cord-010715-91fob3ax	226	6	)	)	PUNCT
cord-010715-91fob3ax	226	7	]	]	PUNCT
cord-010715-91fob3ax	226	8	.	.	PUNCT
cord-010715-91fob3ax	227	1	the	the	DET
cord-010715-91fob3ax	227	2	corresponding	corresponding	ADJ
cord-010715-91fob3ax	227	3	susceptibilities	susceptibility	NOUN
cord-010715-91fob3ax	227	4	also	also	ADV
cord-010715-91fob3ax	227	5	seem	seem	VERB
cord-010715-91fob3ax	227	6	to	to	PART
cord-010715-91fob3ax	227	7	have	have	VERB
cord-010715-91fob3ax	227	8	a	a	DET
cord-010715-91fob3ax	227	9	peak	peak	NOUN
cord-010715-91fob3ax	227	10	at	at	ADP
cord-010715-91fob3ax	227	11	the	the	DET
cord-010715-91fob3ax	227	12	same	same	ADJ
cord-010715-91fob3ax	227	13	value	value	NOUN
cord-010715-91fob3ax	227	14	of	of	ADP
cord-010715-91fob3ax	227	15	λ	λ	PROPN
cord-010715-91fob3ax	227	16	[	[	PUNCT
cord-010715-91fob3ax	227	17	fig	fig	NOUN
cord-010715-91fob3ax	227	18	.	.	PUNCT
cord-010715-91fob3ax	228	1	7(b	7(b	PUNCT
cord-010715-91fob3ax	228	2	)	)	PUNCT
cord-010715-91fob3ax	229	1	]	]	PUNCT
cord-010715-91fob3ax	229	2	.	.	PUNCT
cord-010715-91fob3ax	230	1	compared	compare	VERB
cord-010715-91fob3ax	230	2	to	to	ADP
cord-010715-91fob3ax	230	3	single	single	ADJ
cord-010715-91fob3ax	230	4	-	-	PUNCT
cord-010715-91fob3ax	230	5	seed	seed	NOUN
cord-010715-91fob3ax	230	6	simulations	simulation	NOUN
cord-010715-91fob3ax	230	7	,	,	PUNCT
cord-010715-91fob3ax	230	8	λ	λ	PROPN
cord-010715-91fob3ax	230	9	c1	c1	PROPN
cord-010715-91fob3ax	230	10	and	and	CCONJ
cord-010715-91fob3ax	230	11	λ	λ	PROPN
cord-010715-91fob3ax	230	12	c2	c2	PROPN
cord-010715-91fob3ax	230	13	decrease	decrease	VERB
cord-010715-91fob3ax	230	14	with	with	ADP
cord-010715-91fob3ax	230	15	an	an	DET
cord-010715-91fob3ax	230	16	increase	increase	NOUN
cord-010715-91fob3ax	230	17	in	in	ADP
cord-010715-91fob3ax	230	18	ρ	ρ	NOUN
cord-010715-91fob3ax	230	19	and	and	CCONJ
cord-010715-91fob3ax	230	20	differ	differ	VERB
cord-010715-91fob3ax	230	21	from	from	ADP
cord-010715-91fob3ax	230	22	the	the	DET
cord-010715-91fob3ax	230	23	epidemic	epidemic	NOUN
cord-010715-91fob3ax	230	24	threshold	threshold	NOUN
cord-010715-91fob3ax	230	25	λ	λ	PROPN
cord-010715-91fob3ax	231	1	sir	sir	PROPN
cord-010715-91fob3ax	231	2	does	do	AUX
cord-010715-91fob3ax	231	3	not	not	PART
cord-010715-91fob3ax	231	4	seem	seem	VERB
cord-010715-91fob3ax	231	5	surprising	surprising	ADJ
cord-010715-91fob3ax	231	6	if	if	SCONJ
cord-010715-91fob3ax	231	7	we	we	PRON
cord-010715-91fob3ax	231	8	consider	consider	VERB
cord-010715-91fob3ax	231	9	a	a	DET
cord-010715-91fob3ax	231	10	spatial	spatial	ADJ
cord-010715-91fob3ax	231	11	constraint	constraint	NOUN
cord-010715-91fob3ax	231	12	of	of	ADP
cord-010715-91fob3ax	231	13	the	the	DET
cord-010715-91fob3ax	231	14	square	square	PROPN
cord-010715-91fob3ax	231	15	lattice	lattice	NOUN
cord-010715-91fob3ax	231	16	:	:	PUNCT
cord-010715-91fob3ax	231	17	when	when	SCONJ
cord-010715-91fob3ax	231	18	the	the	DET
cord-010715-91fob3ax	231	19	largest	large	ADJ
cord-010715-91fob3ax	231	20	component	component	NOUN
cord-010715-91fob3ax	231	21	percolates	percolate	VERB
cord-010715-91fob3ax	231	22	the	the	DET
cord-010715-91fob3ax	231	23	lattice	lattice	NOUN
cord-010715-91fob3ax	231	24	vertically	vertically	ADV
cord-010715-91fob3ax	231	25	and	and	CCONJ
cord-010715-91fob3ax	231	26	horizontally	horizontally	ADV
cord-010715-91fob3ax	231	27	,	,	PUNCT
cord-010715-91fob3ax	231	28	the	the	DET
cord-010715-91fob3ax	231	29	residual	residual	ADJ
cord-010715-91fob3ax	231	30	components	component	NOUN
cord-010715-91fob3ax	231	31	after	after	ADP
cord-010715-91fob3ax	231	32	removing	remove	VERB
cord-010715-91fob3ax	231	33	the	the	DET
cord-010715-91fob3ax	231	34	largest	large	ADJ
cord-010715-91fob3ax	231	35	one	one	NOUN
cord-010715-91fob3ax	231	36	can	can	AUX
cord-010715-91fob3ax	231	37	not	not	PART
cord-010715-91fob3ax	231	38	maintain	maintain	VERB
cord-010715-91fob3ax	231	39	the	the	DET
cord-010715-91fob3ax	231	40	connection	connection	NOUN
cord-010715-91fob3ax	231	41	across	across	ADP
cord-010715-91fob3ax	231	42	the	the	DET
cord-010715-91fob3ax	231	43	lattice	lattice	NOUN
cord-010715-91fob3ax	231	44	.	.	PUNCT
cord-010715-91fob3ax	232	1	(	(	PUNCT
cord-010715-91fob3ax	232	2	this	this	PRON
cord-010715-91fob3ax	232	3	reflects	reflect	VERB
cord-010715-91fob3ax	232	4	on	on	ADP
cord-010715-91fob3ax	232	5	the	the	DET
cord-010715-91fob3ax	232	6	fact	fact	NOUN
cord-010715-91fob3ax	232	7	that	that	SCONJ
cord-010715-91fob3ax	232	8	the	the	DET
cord-010715-91fob3ax	232	9	percolation	percolation	NOUN
cord-010715-91fob3ax	232	10	threshold	threshold	NOUN
cord-010715-91fob3ax	232	11	is	be	AUX
cord-010715-91fob3ax	232	12	equal	equal	ADJ
cord-010715-91fob3ax	232	13	to	to	ADP
cord-010715-91fob3ax	232	14	or	or	CCONJ
cord-010715-91fob3ax	232	15	larger	large	ADJ
cord-010715-91fob3ax	232	16	than	than	ADP
cord-010715-91fob3ax	232	17	1/2	1/2	NUM
cord-010715-91fob3ax	232	18	in	in	ADP
cord-010715-91fob3ax	232	19	both	both	DET
cord-010715-91fob3ax	232	20	site	site	NOUN
cord-010715-91fob3ax	232	21	and	and	CCONJ
cord-010715-91fob3ax	232	22	bond	bond	NOUN
cord-010715-91fob3ax	232	23	percolations	percolation	NOUN
cord-010715-91fob3ax	232	24	.	.	PUNCT
cord-010715-91fob3ax	232	25	)	)	PUNCT
cord-010715-91fob3ax	233	1	turning	turn	VERB
cord-010715-91fob3ax	233	2	to	to	ADP
cord-010715-91fob3ax	233	3	other	other	ADJ
cord-010715-91fob3ax	233	4	real	real	ADJ
cord-010715-91fob3ax	233	5	spatial	spatial	ADJ
cord-010715-91fob3ax	233	6	networks	network	NOUN
cord-010715-91fob3ax	233	7	,	,	PUNCT
cord-010715-91fob3ax	233	8	which	which	PRON
cord-010715-91fob3ax	233	9	are	be	AUX
cord-010715-91fob3ax	233	10	often	often	ADV
cord-010715-91fob3ax	233	11	regarded	regard	VERB
cord-010715-91fob3ax	233	12	as	as	ADP
cord-010715-91fob3ax	233	13	two	two	NUM
cord-010715-91fob3ax	233	14	-	-	PUNCT
cord-010715-91fob3ax	233	15	dimensional	dimensional	ADJ
cord-010715-91fob3ax	233	16	objects	object	NOUN
cord-010715-91fob3ax	233	17	,	,	PUNCT
cord-010715-91fob3ax	233	18	it	it	PRON
cord-010715-91fob3ax	233	19	is	be	AUX
cord-010715-91fob3ax	233	20	an	an	DET
cord-010715-91fob3ax	233	21	open	open	ADJ
cord-010715-91fob3ax	233	22	question	question	NOUN
cord-010715-91fob3ax	233	23	whether	whether	SCONJ
cord-010715-91fob3ax	233	24	or	or	CCONJ
cord-010715-91fob3ax	233	25	not	not	PART
cord-010715-91fob3ax	233	26	the	the	DET
cord-010715-91fob3ax	233	27	coexisting	coexist	VERB
cord-010715-91fob3ax	233	28	phase	phase	NOUN
cord-010715-91fob3ax	233	29	exists	exist	VERB
cord-010715-91fob3ax	233	30	.	.	PUNCT
cord-010715-91fob3ax	234	1	in	in	ADP
cord-010715-91fob3ax	234	2	this	this	DET
cord-010715-91fob3ax	234	3	paper	paper	NOUN
cord-010715-91fob3ax	234	4	,	,	PUNCT
cord-010715-91fob3ax	234	5	we	we	PRON
cord-010715-91fob3ax	234	6	have	have	AUX
cord-010715-91fob3ax	234	7	studied	study	VERB
cord-010715-91fob3ax	234	8	the	the	DET
cord-010715-91fob3ax	234	9	sir	sir	NOUN
cord-010715-91fob3ax	234	10	model	model	NOUN
cord-010715-91fob3ax	234	11	in	in	ADP
cord-010715-91fob3ax	234	12	an	an	DET
cord-010715-91fob3ax	234	13	rrg	rrg	NOUN
cord-010715-91fob3ax	234	14	with	with	ADP
cord-010715-91fob3ax	234	15	a	a	DET
cord-010715-91fob3ax	234	16	nontrivial	nontrivial	ADJ
cord-010715-91fob3ax	234	17	fraction	fraction	NOUN
cord-010715-91fob3ax	234	18	of	of	ADP
cord-010715-91fob3ax	234	19	infection	infection	NOUN
cord-010715-91fob3ax	234	20	seeds	seed	NOUN
cord-010715-91fob3ax	234	21	,	,	PUNCT
cord-010715-91fob3ax	234	22	ρ	ρ	NUM
cord-010715-91fob3ax	234	23	.	.	PUNCT
cord-010715-91fob3ax	234	24	through	through	ADP
cord-010715-91fob3ax	234	25	analytical	analytical	ADJ
cord-010715-91fob3ax	234	26	estimates	estimate	NOUN
cord-010715-91fob3ax	234	27	and	and	CCONJ
cord-010715-91fob3ax	234	28	numerical	numerical	ADJ
cord-010715-91fob3ax	234	29	simulations	simulation	NOUN
cord-010715-91fob3ax	234	30	,	,	PUNCT
cord-010715-91fob3ax	234	31	we	we	PRON
cord-010715-91fob3ax	234	32	have	have	AUX
cord-010715-91fob3ax	234	33	obtained	obtain	VERB
cord-010715-91fob3ax	234	34	the	the	DET
cord-010715-91fob3ax	234	35	phase	phase	NOUN
cord-010715-91fob3ax	234	36	diagram	diagram	NOUN
cord-010715-91fob3ax	234	37	in	in	ADP
cord-010715-91fob3ax	234	38	(	(	PUNCT
cord-010715-91fob3ax	234	39	ρ	ρ	PROPN
cord-010715-91fob3ax	234	40	,	,	PUNCT
cord-010715-91fob3ax	234	41	λ	λ	PROPN
cord-010715-91fob3ax	234	42	)	)	PUNCT
cord-010715-91fob3ax	234	43	space	space	NOUN
cord-010715-91fob3ax	234	44	.	.	PUNCT
cord-010715-91fob3ax	235	1	the	the	DET
cord-010715-91fob3ax	235	2	sir	sir	PROPN
cord-010715-91fob3ax	235	3	model	model	NOUN
cord-010715-91fob3ax	235	4	with	with	ADP
cord-010715-91fob3ax	235	5	numerous	numerous	ADJ
cord-010715-91fob3ax	235	6	seeds	seed	NOUN
cord-010715-91fob3ax	235	7	shows	show	VERB
cord-010715-91fob3ax	235	8	the	the	DET
cord-010715-91fob3ax	235	9	percolation	percolation	NOUN
cord-010715-91fob3ax	235	10	transition	transition	NOUN
cord-010715-91fob3ax	235	11	of	of	ADP
cord-010715-91fob3ax	235	12	the	the	DET
cord-010715-91fob3ax	235	13	removed	removed	ADJ
cord-010715-91fob3ax	235	14	and	and	CCONJ
cord-010715-91fob3ax	235	15	susceptible	susceptible	ADJ
cord-010715-91fob3ax	235	16	nodes	node	NOUN
cord-010715-91fob3ax	235	17	at	at	ADP
cord-010715-91fob3ax	235	18	λ	λ	PROPN
cord-010715-91fob3ax	235	19	c1	c1	PROPN
cord-010715-91fob3ax	235	20	and	and	CCONJ
cord-010715-91fob3ax	235	21	λ	λ	PROPN
cord-010715-91fob3ax	235	22	c2	c2	PROPN
cord-010715-91fob3ax	235	23	,	,	PUNCT
cord-010715-91fob3ax	235	24	respectively	respectively	ADV
cord-010715-91fob3ax	235	25	.	.	PUNCT
cord-010715-91fob3ax	236	1	in	in	ADP
cord-010715-91fob3ax	236	2	particular	particular	ADJ
cord-010715-91fob3ax	236	3	,	,	PUNCT
cord-010715-91fob3ax	236	4	λ	λ	PROPN
cord-010715-91fob3ax	236	5	c1	c1	PROPN
cord-010715-91fob3ax	236	6	is	be	AUX
cord-010715-91fob3ax	236	7	smaller	small	ADJ
cord-010715-91fob3ax	236	8	than	than	ADP
cord-010715-91fob3ax	236	9	the	the	DET
cord-010715-91fob3ax	236	10	epidemic	epidemic	NOUN
cord-010715-91fob3ax	236	11	threshold	threshold	NOUN
cord-010715-91fob3ax	237	1	λ	λ	PROPN
cord-010715-91fob3ax	237	2	sir	sir	PROPN
cord-010715-91fob3ax	237	3	c	c	PROPN
cord-010715-91fob3ax	237	4	as	as	ADV
cord-010715-91fob3ax	237	5	long	long	ADV
cord-010715-91fob3ax	237	6	as	as	ADP
cord-010715-91fob3ax	237	7	ρ	ρ	X
cord-010715-91fob3ax	237	8	>	>	X
cord-010715-91fob3ax	237	9	0	0	NUM
cord-010715-91fob3ax	237	10	.	.	PUNCT
cord-010715-91fob3ax	238	1	this	this	PRON
cord-010715-91fob3ax	238	2	means	mean	VERB
cord-010715-91fob3ax	238	3	that	that	SCONJ
cord-010715-91fob3ax	238	4	epidemic	epidemic	NOUN
cord-010715-91fob3ax	238	5	clusters	cluster	NOUN
cord-010715-91fob3ax	238	6	generated	generate	VERB
cord-010715-91fob3ax	238	7	by	by	ADP
cord-010715-91fob3ax	238	8	multiple	multiple	ADJ
cord-010715-91fob3ax	238	9	seeds	seed	NOUN
cord-010715-91fob3ax	238	10	percolate	percolate	NOUN
cord-010715-91fob3ax	238	11	without	without	ADP
cord-010715-91fob3ax	238	12	global	global	ADJ
cord-010715-91fob3ax	238	13	outbreaks	outbreak	NOUN
cord-010715-91fob3ax	238	14	.	.	PUNCT
cord-010715-91fob3ax	239	1	so	so	ADV
cord-010715-91fob3ax	239	2	far	far	ADV
cord-010715-91fob3ax	239	3	,	,	PUNCT
cord-010715-91fob3ax	239	4	we	we	PRON
cord-010715-91fob3ax	239	5	have	have	AUX
cord-010715-91fob3ax	239	6	focused	focus	VERB
cord-010715-91fob3ax	239	7	on	on	ADP
cord-010715-91fob3ax	239	8	the	the	DET
cord-010715-91fob3ax	239	9	sir	sir	PROPN
cord-010715-91fob3ax	239	10	model	model	NOUN
cord-010715-91fob3ax	239	11	in	in	ADP
cord-010715-91fob3ax	239	12	the	the	DET
cord-010715-91fob3ax	239	13	rrg	rrg	PROPN
cord-010715-91fob3ax	239	14	and	and	CCONJ
cord-010715-91fob3ax	239	15	the	the	DET
cord-010715-91fob3ax	239	16	lattices	lattice	NOUN
cord-010715-91fob3ax	239	17	.	.	PUNCT
cord-010715-91fob3ax	240	1	we	we	PRON
cord-010715-91fob3ax	240	2	expect	expect	VERB
cord-010715-91fob3ax	240	3	that	that	SCONJ
cord-010715-91fob3ax	240	4	the	the	DET
cord-010715-91fob3ax	240	5	above	above	ADJ
cord-010715-91fob3ax	240	6	statement	statement	NOUN
cord-010715-91fob3ax	240	7	holds	hold	VERB
cord-010715-91fob3ax	240	8	for	for	ADP
cord-010715-91fob3ax	240	9	the	the	DET
cord-010715-91fob3ax	240	10	sir	sir	PROPN
cord-010715-91fob3ax	240	11	model	model	NOUN
cord-010715-91fob3ax	240	12	in	in	ADP
cord-010715-91fob3ax	240	13	other	other	ADJ
cord-010715-91fob3ax	240	14	networks	network	NOUN
cord-010715-91fob3ax	240	15	,	,	PUNCT
cord-010715-91fob3ax	240	16	although	although	SCONJ
cord-010715-91fob3ax	240	17	the	the	DET
cord-010715-91fob3ax	240	18	details	detail	NOUN
cord-010715-91fob3ax	240	19	of	of	ADP
cord-010715-91fob3ax	240	20	the	the	DET
cord-010715-91fob3ax	240	21	phase	phase	NOUN
cord-010715-91fob3ax	240	22	transition	transition	NOUN
cord-010715-91fob3ax	240	23	may	may	AUX
cord-010715-91fob3ax	240	24	depend	depend	VERB
cord-010715-91fob3ax	240	25	on	on	ADP
cord-010715-91fob3ax	240	26	network	network	NOUN
cord-010715-91fob3ax	240	27	structures	structure	NOUN
cord-010715-91fob3ax	240	28	,	,	PUNCT
cord-010715-91fob3ax	240	29	e.g.	e.g.	ADV
cord-010715-91fob3ax	240	30	,	,	PUNCT
cord-010715-91fob3ax	241	1	λ	λ	PROPN
cord-010715-91fob3ax	241	2	c1	c1	PROPN
cord-010715-91fob3ax	241	3	<	<	X
cord-010715-91fob3ax	242	1	λ	λ	X
cord-010715-91fob3ax	243	1	sir	sir	PROPN
cord-010715-91fob3ax	243	2	c	c	PROPN
cord-010715-91fob3ax	243	3	=	=	PUNCT
cord-010715-91fob3ax	243	4	0	0	NUM
cord-010715-91fob3ax	243	5	in	in	ADP
cord-010715-91fob3ax	243	6	a	a	DET
cord-010715-91fob3ax	243	7	fat	fat	ADJ
cord-010715-91fob3ax	243	8	-	-	PUNCT
cord-010715-91fob3ax	243	9	tailed	tail	VERB
cord-010715-91fob3ax	243	10	scale	scale	NOUN
cord-010715-91fob3ax	243	11	-	-	PUNCT
cord-010715-91fob3ax	243	12	free	free	ADJ
cord-010715-91fob3ax	243	13	network	network	NOUN
cord-010715-91fob3ax	243	14	with	with	ADP
cord-010715-91fob3ax	243	15	γ	γ	PROPN
cord-010715-91fob3ax	243	16	3	3	NUM
cord-010715-91fob3ax	243	17	.	.	PUNCT
cord-010715-91fob3ax	244	1	finally	finally	ADV
cord-010715-91fob3ax	244	2	,	,	PUNCT
cord-010715-91fob3ax	244	3	we	we	PRON
cord-010715-91fob3ax	244	4	briefly	briefly	ADV
cord-010715-91fob3ax	244	5	discuss	discuss	VERB
cord-010715-91fob3ax	244	6	other	other	ADJ
cord-010715-91fob3ax	244	7	epidemic	epidemic	NOUN
cord-010715-91fob3ax	244	8	models	model	NOUN
cord-010715-91fob3ax	244	9	with	with	ADP
cord-010715-91fob3ax	244	10	multiple	multiple	ADJ
cord-010715-91fob3ax	244	11	seeds	seed	NOUN
cord-010715-91fob3ax	244	12	.	.	PUNCT
cord-010715-91fob3ax	245	1	krapivsky	krapivsky	PROPN
cord-010715-91fob3ax	245	2	et	et	PROPN
cord-010715-91fob3ax	245	3	al	al	PROPN
cord-010715-91fob3ax	245	4	.	.	PUNCT
cord-010715-91fob3ax	246	1	[	[	X
cord-010715-91fob3ax	246	2	39	39	NUM
cord-010715-91fob3ax	246	3	]	]	PUNCT
cord-010715-91fob3ax	246	4	proposed	propose	VERB
cord-010715-91fob3ax	246	5	an	an	DET
cord-010715-91fob3ax	246	6	extended	extended	ADJ
cord-010715-91fob3ax	246	7	sir	sir	NOUN
cord-010715-91fob3ax	246	8	model	model	NOUN
cord-010715-91fob3ax	246	9	,	,	PUNCT
cord-010715-91fob3ax	246	10	called	call	VERB
cord-010715-91fob3ax	246	11	a	a	DET
cord-010715-91fob3ax	246	12	transient	transient	ADJ
cord-010715-91fob3ax	246	13	fad	fad	NOUN
cord-010715-91fob3ax	246	14	,	,	PUNCT
cord-010715-91fob3ax	246	15	with	with	ADP
cord-010715-91fob3ax	246	16	the	the	DET
cord-010715-91fob3ax	246	17	assumption	assumption	NOUN
cord-010715-91fob3ax	246	18	of	of	ADP
cord-010715-91fob3ax	246	19	a	a	DET
cord-010715-91fob3ax	246	20	well	well	ADV
cord-010715-91fob3ax	246	21	-	-	PUNCT
cord-010715-91fob3ax	246	22	mixed	mix	VERB
cord-010715-91fob3ax	246	23	population	population	NOUN
cord-010715-91fob3ax	246	24	.	.	PUNCT
cord-010715-91fob3ax	247	1	they	they	PRON
cord-010715-91fob3ax	247	2	analytically	analytically	ADV
cord-010715-91fob3ax	247	3	showed	show	VERB
cord-010715-91fob3ax	247	4	that	that	SCONJ
cord-010715-91fob3ax	247	5	this	this	DET
cord-010715-91fob3ax	247	6	model	model	NOUN
cord-010715-91fob3ax	247	7	exhibits	exhibit	VERB
cord-010715-91fob3ax	247	8	a	a	DET
cord-010715-91fob3ax	247	9	discontinuous	discontinuous	ADJ
cord-010715-91fob3ax	247	10	transition	transition	NOUN
cord-010715-91fob3ax	247	11	if	if	SCONJ
cord-010715-91fob3ax	247	12	ρ	ρ	X
cord-010715-91fob3ax	247	13	>	>	X
cord-010715-91fob3ax	247	14	0	0	NUM
cord-010715-91fob3ax	247	15	.	.	PUNCT
cord-010715-91fob3ax	248	1	the	the	DET
cord-010715-91fob3ax	248	2	authors	author	NOUN
cord-010715-91fob3ax	248	3	and	and	CCONJ
cord-010715-91fob3ax	248	4	a	a	DET
cord-010715-91fob3ax	248	5	collaborator	collaborator	NOUN
cord-010715-91fob3ax	248	6	[	[	PUNCT
cord-010715-91fob3ax	248	7	40	40	NUM
cord-010715-91fob3ax	248	8	]	]	PUNCT
cord-010715-91fob3ax	248	9	performed	perform	VERB
cord-010715-91fob3ax	248	10	monte	monte	PROPN
cord-010715-91fob3ax	248	11	carlo	carlo	PROPN
cord-010715-91fob3ax	248	12	simulations	simulation	NOUN
cord-010715-91fob3ax	248	13	for	for	ADP
cord-010715-91fob3ax	248	14	this	this	DET
cord-010715-91fob3ax	248	15	fad	fad	ADJ
cord-010715-91fob3ax	248	16	model	model	NOUN
cord-010715-91fob3ax	248	17	in	in	ADP
cord-010715-91fob3ax	248	18	networks	network	NOUN
cord-010715-91fob3ax	248	19	to	to	PART
cord-010715-91fob3ax	248	20	confirm	confirm	VERB
cord-010715-91fob3ax	248	21	that	that	SCONJ
cord-010715-91fob3ax	248	22	a	a	DET
cord-010715-91fob3ax	248	23	discontinuous	discontinuous	ADJ
cord-010715-91fob3ax	248	24	jump	jump	NOUN
cord-010715-91fob3ax	248	25	of	of	ADP
cord-010715-91fob3ax	248	26	the	the	DET
cord-010715-91fob3ax	248	27	order	order	NOUN
cord-010715-91fob3ax	248	28	parameter	parameter	NOUN
cord-010715-91fob3ax	248	29	appears	appear	VERB
cord-010715-91fob3ax	248	30	near	near	ADP
cord-010715-91fob3ax	248	31	the	the	DET
cord-010715-91fob3ax	248	32	epidemic	epidemic	NOUN
cord-010715-91fob3ax	248	33	threshold	threshold	NOUN
cord-010715-91fob3ax	248	34	,	,	PUNCT
cord-010715-91fob3ax	248	35	which	which	PRON
cord-010715-91fob3ax	248	36	is	be	AUX
cord-010715-91fob3ax	248	37	behind	behind	ADP
cord-010715-91fob3ax	248	38	the	the	DET
cord-010715-91fob3ax	248	39	percolation	percolation	NOUN
cord-010715-91fob3ax	248	40	of	of	ADP
cord-010715-91fob3ax	248	41	epidemic	epidemic	NOUN
cord-010715-91fob3ax	248	42	clusters	cluster	NOUN
cord-010715-91fob3ax	248	43	.	.	PUNCT
cord-010715-91fob3ax	249	1	the	the	DET
cord-010715-91fob3ax	249	2	authors	author	NOUN
cord-010715-91fob3ax	249	3	also	also	ADV
cord-010715-91fob3ax	249	4	investigated	investigate	VERB
cord-010715-91fob3ax	249	5	the	the	DET
cord-010715-91fob3ax	249	6	discretetime	discretetime	ADJ
cord-010715-91fob3ax	249	7	version	version	NOUN
cord-010715-91fob3ax	249	8	of	of	ADP
cord-010715-91fob3ax	249	9	the	the	DET
cord-010715-91fob3ax	249	10	transient	transient	ADJ
cord-010715-91fob3ax	249	11	fad	fad	NOUN
cord-010715-91fob3ax	249	12	to	to	PART
cord-010715-91fob3ax	249	13	confirm	confirm	VERB
cord-010715-91fob3ax	249	14	it	it	PRON
cord-010715-91fob3ax	249	15	numerically	numerically	ADV
cord-010715-91fob3ax	249	16	and	and	CCONJ
cord-010715-91fob3ax	249	17	analytically	analytically	ADV
cord-010715-91fob3ax	249	18	[	[	X
cord-010715-91fob3ax	249	19	41	41	NUM
cord-010715-91fob3ax	249	20	]	]	PUNCT
cord-010715-91fob3ax	249	21	.	.	PUNCT
cord-010715-91fob3ax	250	1	very	very	ADV
cord-010715-91fob3ax	250	2	recently	recently	ADV
cord-010715-91fob3ax	250	3	,	,	PUNCT
cord-010715-91fob3ax	250	4	several	several	ADJ
cord-010715-91fob3ax	250	5	generalized	generalized	ADJ
cord-010715-91fob3ax	250	6	epidemic	epidemic	NOUN
cord-010715-91fob3ax	250	7	models	model	NOUN
cord-010715-91fob3ax	250	8	in	in	ADP
cord-010715-91fob3ax	250	9	networks	network	NOUN
cord-010715-91fob3ax	250	10	beyond	beyond	ADP
cord-010715-91fob3ax	250	11	the	the	DET
cord-010715-91fob3ax	250	12	classical	classical	ADJ
cord-010715-91fob3ax	250	13	sir	sir	NOUN
cord-010715-91fob3ax	250	14	model	model	NOUN
cord-010715-91fob3ax	250	15	have	have	AUX
cord-010715-91fob3ax	250	16	been	be	AUX
cord-010715-91fob3ax	250	17	investigated	investigate	VERB
cord-010715-91fob3ax	250	18	[	[	X
cord-010715-91fob3ax	250	19	42	42	NUM
cord-010715-91fob3ax	250	20	]	]	PUNCT
cord-010715-91fob3ax	251	1	[	[	X
cord-010715-91fob3ax	251	2	43	43	NUM
cord-010715-91fob3ax	251	3	]	]	PUNCT
cord-010715-91fob3ax	251	4	[	[	X
cord-010715-91fob3ax	251	5	44	44	NUM
cord-010715-91fob3ax	251	6	]	]	PUNCT
cord-010715-91fob3ax	251	7	[	[	X
cord-010715-91fob3ax	251	8	45	45	NUM
cord-010715-91fob3ax	251	9	]	]	PUNCT
cord-010715-91fob3ax	251	10	.	.	PUNCT
cord-010715-91fob3ax	252	1	it	it	PRON
cord-010715-91fob3ax	252	2	will	will	AUX
cord-010715-91fob3ax	252	3	be	be	AUX
cord-010715-91fob3ax	252	4	interesting	interesting	ADJ
cord-010715-91fob3ax	252	5	to	to	PART
cord-010715-91fob3ax	252	6	clarify	clarify	VERB
cord-010715-91fob3ax	252	7	what	what	PRON
cord-010715-91fob3ax	252	8	numerous	numerous	ADJ
cord-010715-91fob3ax	252	9	seeds	seed	NOUN
cord-010715-91fob3ax	252	10	induce	induce	VERB
cord-010715-91fob3ax	252	11	in	in	ADP
cord-010715-91fob3ax	252	12	such	such	ADJ
cord-010715-91fob3ax	252	13	generalized	generalized	ADJ
cord-010715-91fob3ax	252	14	epidemic	epidemic	NOUN
cord-010715-91fob3ax	252	15	models	model	NOUN
cord-010715-91fob3ax	252	16	.	.	PUNCT
cord-010715-91fob3ax	253	1	with	with	ADP
cord-010715-91fob3ax	253	2	and	and	CCONJ
cord-010715-91fob3ax	253	3	the	the	DET
cord-010715-91fob3ax	253	4	initial	initial	ADJ
cord-010715-91fob3ax	253	5	condition	condition	NOUN
cord-010715-91fob3ax	253	6	equation	equation	NOUN
cord-010715-91fob3ax	253	7	(	(	PUNCT
cord-010715-91fob3ax	253	8	a2	a2	PROPN
cord-010715-91fob3ax	253	9	)	)	PUNCT
cord-010715-91fob3ax	253	10	is	be	AUX
cord-010715-91fob3ax	253	11	substituted	substitute	VERB
cord-010715-91fob3ax	253	12	into	into	ADP
cord-010715-91fob3ax	253	13	eq.(a1	eq.(a1	PROPN
cord-010715-91fob3ax	253	14	)	)	PUNCT
cord-010715-91fob3ax	253	15	to	to	PART
cord-010715-91fob3ax	253	16	find	find	VERB
cord-010715-91fob3ax	253	17	the	the	DET
cord-010715-91fob3ax	253	18	condition	condition	NOUN
cord-010715-91fob3ax	253	19	for	for	ADP
cord-010715-91fob3ax	253	20	s	s	PROPN
cord-010715-91fob3ax	253	21	z−1,1	z−1,1	PROPN
cord-010715-91fob3ax	253	22	to	to	PART
cord-010715-91fob3ax	253	23	remain	remain	VERB
cord-010715-91fob3ax	253	24	finite	finite	ADJ
cord-010715-91fob3ax	253	25	as	as	ADP
cord-010715-91fob3ax	253	26	t	t	PROPN
cord-010715-91fob3ax	253	27	→	→	SYM
cord-010715-91fob3ax	253	28	∞	∞	PROPN
cord-010715-91fob3ax	253	29	,	,	PUNCT
cord-010715-91fob3ax	253	30	and	and	CCONJ
cord-010715-91fob3ax	253	31	thus	thus	ADV
cord-010715-91fob3ax	253	32	,	,	PUNCT
cord-010715-91fob3ax	253	33	the	the	DET
cord-010715-91fob3ax	253	34	lower	lower	ADV
cord-010715-91fob3ax	253	35	bound	bind	VERB
cord-010715-91fob3ax	253	36	of	of	ADP
cord-010715-91fob3ax	253	37	μ	μ	PROPN
cord-010715-91fob3ax	253	38	/	/	SYM
cord-010715-91fob3ax	253	39	λ	λ	PROPN
cord-010715-91fob3ax	253	40	gives	give	VERB
cord-010715-91fob3ax	253	41	the	the	DET
cord-010715-91fob3ax	253	42	epidemic	epidemic	NOUN
cord-010715-91fob3ax	253	43	threshold	threshold	NOUN
cord-010715-91fob3ax	253	44	,	,	PUNCT
cord-010715-91fob3ax	253	45	,	,	PUNCT
cord-010715-91fob3ax	253	46	which	which	PRON
cord-010715-91fob3ax	253	47	corresponds	correspond	VERB
cord-010715-91fob3ax	253	48	to	to	ADP
cord-010715-91fob3ax	253	49	the	the	DET
cord-010715-91fob3ax	253	50	known	known	ADJ
cord-010715-91fob3ax	253	51	result	result	NOUN
cord-010715-91fob3ax	253	52	,	,	PUNCT
cord-010715-91fob3ax	253	53	(	(	PUNCT
cord-010715-91fob3ax	253	54	1	1	NUM
cord-010715-91fob3ax	253	55	)	)	PUNCT
cord-010715-91fob3ax	253	56	.	.	PUNCT
cord-010715-91fob3ax	254	1	first	first	ADV
cord-010715-91fob3ax	254	2	,	,	PUNCT
cord-010715-91fob3ax	254	3	we	we	PRON
cord-010715-91fob3ax	254	4	evaluate	evaluate	VERB
cord-010715-91fob3ax	254	5	the	the	DET
cord-010715-91fob3ax	254	6	size	size	NOUN
cord-010715-91fob3ax	254	7	distribution	distribution	NOUN
cord-010715-91fob3ax	254	8	of	of	ADP
cord-010715-91fob3ax	254	9	the	the	DET
cord-010715-91fob3ax	254	10	r	r	NOUN
cord-010715-91fob3ax	254	11	component	component	NOUN
cord-010715-91fob3ax	254	12	created	create	VERB
cord-010715-91fob3ax	254	13	by	by	ADP
cord-010715-91fob3ax	254	14	a	a	DET
cord-010715-91fob3ax	254	15	single	single	ADJ
cord-010715-91fob3ax	254	16	seed	seed	NOUN
cord-010715-91fob3ax	254	17	.	.	PUNCT
cord-010715-91fob3ax	255	1	to	to	PART
cord-010715-91fob3ax	255	2	do	do	VERB
cord-010715-91fob3ax	255	3	this	this	PRON
cord-010715-91fob3ax	255	4	,	,	PUNCT
cord-010715-91fob3ax	255	5	we	we	PRON
cord-010715-91fob3ax	255	6	need	need	VERB
cord-010715-91fob3ax	255	7	to	to	PART
cord-010715-91fob3ax	255	8	know	know	VERB
cord-010715-91fob3ax	255	9	the	the	DET
cord-010715-91fob3ax	255	10	probability	probability	NOUN
cord-010715-91fob3ax	255	11	,	,	PUNCT
cord-010715-91fob3ax	255	12	p	p	PROPN
cord-010715-91fob3ax	255	13	(	(	PUNCT
cord-010715-91fob3ax	255	14	k	k	NOUN
cord-010715-91fob3ax	255	15	)	)	PUNCT
cord-010715-91fob3ax	255	16	,	,	PUNCT
cord-010715-91fob3ax	255	17	that	that	SCONJ
cord-010715-91fob3ax	255	18	an	an	DET
cord-010715-91fob3ax	255	19	infected	infected	ADJ
cord-010715-91fob3ax	255	20	node	node	NOUN
cord-010715-91fob3ax	255	21	will	will	AUX
cord-010715-91fob3ax	255	22	infect	infect	VERB
cord-010715-91fob3ax	255	23	of	of	ADP
cord-010715-91fob3ax	255	24	k	k	PROPN
cord-010715-91fob3ax	255	25	neighboring	neighbor	VERB
cord-010715-91fob3ax	255	26	susceptible	susceptible	ADJ
cord-010715-91fob3ax	255	27	nodes	node	NOUN
cord-010715-91fob3ax	255	28	before	before	ADP
cord-010715-91fob3ax	255	29	being	be	AUX
cord-010715-91fob3ax	255	30	removed	remove	VERB
cord-010715-91fob3ax	255	31	.	.	PUNCT
cord-010715-91fob3ax	256	1	such	such	DET
cord-010715-91fob3ax	256	2	an	an	DET
cord-010715-91fob3ax	256	3	infected	infected	ADJ
cord-010715-91fob3ax	256	4	node	node	NOUN
cord-010715-91fob3ax	256	5	is	be	AUX
cord-010715-91fob3ax	256	6	removed	remove	VERB
cord-010715-91fob3ax	256	7	before	before	ADP
cord-010715-91fob3ax	256	8	infecting	infect	VERB
cord-010715-91fob3ax	256	9	any	any	DET
cord-010715-91fob3ax	256	10	neighbors	neighbor	NOUN
cord-010715-91fob3ax	256	11	with	with	ADP
cord-010715-91fob3ax	256	12	a	a	DET
cord-010715-91fob3ax	256	13	probability	probability	NOUN
cord-010715-91fob3ax	256	14	p	p	NOUN
cord-010715-91fob3ax	256	15	(	(	PUNCT
cord-010715-91fob3ax	256	16	k	k	NOUN
cord-010715-91fob3ax	256	17	)	)	PUNCT
cord-010715-91fob3ax	256	18	0	0	NUM
cord-010715-91fob3ax	256	19	=	=	SYM
cord-010715-91fob3ax	256	20	1	1	NUM
cord-010715-91fob3ax	256	21	1+kλ	1+kλ	NUM
cord-010715-91fob3ax	256	22	,	,	PUNCT
cord-010715-91fob3ax	256	23	so	so	SCONJ
cord-010715-91fob3ax	256	24	that	that	SCONJ
cord-010715-91fob3ax	256	25	the	the	DET
cord-010715-91fob3ax	256	26	probability	probability	NOUN
cord-010715-91fob3ax	256	27	of	of	ADP
cord-010715-91fob3ax	256	28	its	its	PRON
cord-010715-91fob3ax	256	29	infecting	infecting	NOUN
cord-010715-91fob3ax	256	30	at	at	ADP
cord-010715-91fob3ax	256	31	least	least	ADJ
cord-010715-91fob3ax	256	32	one	one	NUM
cord-010715-91fob3ax	256	33	neighboring	neighboring	NOUN
cord-010715-91fob3ax	256	34	node	node	NOUN
cord-010715-91fob3ax	256	35	before	before	SCONJ
cord-010715-91fob3ax	256	36	removal	removal	NOUN
cord-010715-91fob3ax	256	37	is	be	AUX
cord-010715-91fob3ax	256	38	1	1	NUM
cord-010715-91fob3ax	256	39	−	−	PROPN
cord-010715-91fob3ax	256	40	p	p	PROPN
cord-010715-91fob3ax	256	41	(	(	PUNCT
cord-010715-91fob3ax	256	42	k	k	NOUN
cord-010715-91fob3ax	256	43	)	)	PUNCT
cord-010715-91fob3ax	256	44	0	0	NUM
cord-010715-91fob3ax	257	1	=	=	NOUN
cord-010715-91fob3ax	257	2	kλ	kλ	NOUN
cord-010715-91fob3ax	257	3	1+kλ	1+kλ	NUM
cord-010715-91fob3ax	257	4	.	.	PUNCT
cord-010715-91fob3ax	258	1	as	as	SCONJ
cord-010715-91fob3ax	258	2	shown	show	VERB
cord-010715-91fob3ax	258	3	in	in	ADP
cord-010715-91fob3ax	258	4	fig	fig	PROPN
cord-010715-91fob3ax	258	5	.	.	PUNCT
cord-010715-91fob3ax	258	6	8	8	NUM
cord-010715-91fob3ax	258	7	,	,	PUNCT
cord-010715-91fob3ax	258	8	we	we	PRON
cord-010715-91fob3ax	258	9	can	can	AUX
cord-010715-91fob3ax	258	10	express	express	VERB
cord-010715-91fob3ax	258	11	p	p	PROPN
cord-010715-91fob3ax	258	12	(	(	PUNCT
cord-010715-91fob3ax	258	13	k	k	NOUN
cord-010715-91fob3ax	258	14	)	)	PUNCT
cord-010715-91fob3ax	258	15	as	as	ADP
cord-010715-91fob3ax	258	16	a	a	DET
cord-010715-91fob3ax	258	17	recursive	recursive	ADJ
cord-010715-91fob3ax	258	18	form	form	NOUN
cord-010715-91fob3ax	258	19	,	,	PUNCT
cord-010715-91fob3ax	258	20	from	from	ADP
cord-010715-91fob3ax	258	21	this	this	DET
cord-010715-91fob3ax	258	22	equation	equation	NOUN
cord-010715-91fob3ax	258	23	,	,	PUNCT
cord-010715-91fob3ax	258	24	we	we	PRON
cord-010715-91fob3ax	258	25	find	find	VERB
cord-010715-91fob3ax	258	26	that	that	SCONJ
cord-010715-91fob3ax	258	27	the	the	DET
cord-010715-91fob3ax	258	28	generating	generate	VERB
cord-010715-91fob3ax	258	29	function	function	NOUN
cord-010715-91fob3ax	258	30	of	of	ADP
cord-010715-91fob3ax	258	31	p	p	PROPN
cord-010715-91fob3ax	258	32	(	(	PUNCT
cord-010715-91fob3ax	258	33	k	k	NOUN
cord-010715-91fob3ax	258	34	)	)	PUNCT
cord-010715-91fob3ax	258	35	,	,	PUNCT
cord-010715-91fob3ax	258	36	satisfies	satisfy	VERB
cord-010715-91fob3ax	258	37	the	the	DET
cord-010715-91fob3ax	258	38	recursion	recursion	NOUN
cord-010715-91fob3ax	258	39	relation	relation	NOUN
cord-010715-91fob3ax	258	40	with	with	ADP
cord-010715-91fob3ax	258	41	g	g	PROPN
cord-010715-91fob3ax	258	42	0	0	NUM
cord-010715-91fob3ax	258	43	(	(	PUNCT
cord-010715-91fob3ax	258	44	x	x	X
cord-010715-91fob3ax	258	45	)	)	PUNCT
cord-010715-91fob3ax	258	46	=	=	SYM
cord-010715-91fob3ax	258	47	1	1	X
cord-010715-91fob3ax	258	48	.	.	PUNCT
cord-010715-91fob3ax	258	49	now	now	ADV
cord-010715-91fob3ax	258	50	let	let	VERB
cord-010715-91fob3ax	258	51	p	p	PROPN
cord-010715-91fob3ax	258	52	n	n	ADV
cord-010715-91fob3ax	258	53	be	be	AUX
cord-010715-91fob3ax	258	54	the	the	DET
cord-010715-91fob3ax	258	55	probability	probability	NOUN
cord-010715-91fob3ax	258	56	that	that	SCONJ
cord-010715-91fob3ax	258	57	a	a	DET
cord-010715-91fob3ax	258	58	single	single	ADJ
cord-010715-91fob3ax	258	59	seed	seed	NOUN
cord-010715-91fob3ax	258	60	creates	create	VERB
cord-010715-91fob3ax	258	61	an	an	DET
cord-010715-91fob3ax	258	62	r	r	NOUN
cord-010715-91fob3ax	258	63	component	component	NOUN
cord-010715-91fob3ax	258	64	of	of	ADP
cord-010715-91fob3ax	258	65	size	size	NOUN
cord-010715-91fob3ax	258	66	n	n	ADV
cord-010715-91fob3ax	258	67	,	,	PUNCT
cord-010715-91fob3ax	258	68	and	and	CCONJ
cord-010715-91fob3ax	258	69	let	let	VERB
cord-010715-91fob3ax	258	70	q	q	VERB
cord-010715-91fob3ax	258	71	n	n	ADV
cord-010715-91fob3ax	258	72	be	be	AUX
cord-010715-91fob3ax	258	73	the	the	DET
cord-010715-91fob3ax	258	74	probability	probability	NOUN
cord-010715-91fob3ax	258	75	that	that	SCONJ
cord-010715-91fob3ax	258	76	a	a	DET
cord-010715-91fob3ax	258	77	node	node	NOUN
cord-010715-91fob3ax	258	78	infected	infect	VERB
cord-010715-91fob3ax	258	79	by	by	ADP
cord-010715-91fob3ax	258	80	another	another	DET
cord-010715-91fob3ax	258	81	node	node	NOUN
cord-010715-91fob3ax	258	82	further	far	ADV
cord-010715-91fob3ax	258	83	creates	create	VERB
cord-010715-91fob3ax	258	84	a	a	DET
cord-010715-91fob3ax	258	85	partial	partial	ADJ
cord-010715-91fob3ax	258	86	r	r	NOUN
cord-010715-91fob3ax	258	87	component	component	NOUN
cord-010715-91fob3ax	258	88	of	of	ADP
cord-010715-91fob3ax	258	89	size	size	PROPN
cord-010715-91fob3ax	258	90	n.	n.	PROPN
cord-010715-91fob3ax	258	91	then	then	ADV
cord-010715-91fob3ax	258	92	,	,	PUNCT
cord-010715-91fob3ax	258	93	by	by	ADP
cord-010715-91fob3ax	258	94	considering	consider	VERB
cord-010715-91fob3ax	258	95	the	the	DET
cord-010715-91fob3ax	258	96	infection	infection	NOUN
cord-010715-91fob3ax	258	97	process	process	NOUN
cord-010715-91fob3ax	258	98	starting	start	VERB
cord-010715-91fob3ax	258	99	fig	fig	NOUN
cord-010715-91fob3ax	258	100	.	.	PUNCT
cord-010715-91fob3ax	259	1	8	8	NUM
cord-010715-91fob3ax	259	2	.	.	PUNCT
cord-010715-91fob3ax	260	1	schematic	schematic	ADJ
cord-010715-91fob3ax	260	2	of	of	ADP
cord-010715-91fob3ax	260	3	the	the	DET
cord-010715-91fob3ax	260	4	recursive	recursive	ADJ
cord-010715-91fob3ax	260	5	relation	relation	NOUN
cord-010715-91fob3ax	260	6	for	for	ADP
cord-010715-91fob3ax	260	7	p	p	PROPN
cord-010715-91fob3ax	260	8	(	(	PUNCT
cord-010715-91fob3ax	260	9	k	k	NOUN
cord-010715-91fob3ax	260	10	)	)	PUNCT
cord-010715-91fob3ax	260	11	.	.	PUNCT
cord-010715-91fob3ax	261	1	let	let	VERB
cord-010715-91fob3ax	261	2	consider	consider	VERB
cord-010715-91fob3ax	261	3	the	the	DET
cord-010715-91fob3ax	261	4	probability	probability	NOUN
cord-010715-91fob3ax	261	5	p	p	NOUN
cord-010715-91fob3ax	261	6	(	(	PUNCT
cord-010715-91fob3ax	261	7	k	k	NOUN
cord-010715-91fob3ax	261	8	)	)	PUNCT
cord-010715-91fob3ax	261	9	that	that	SCONJ
cord-010715-91fob3ax	261	10	an	an	DET
cord-010715-91fob3ax	261	11	infected	infected	ADJ
cord-010715-91fob3ax	261	12	node	node	NOUN
cord-010715-91fob3ax	261	13	infects	infect	VERB
cord-010715-91fob3ax	261	14	nodes	node	NOUN
cord-010715-91fob3ax	261	15	of	of	ADP
cord-010715-91fob3ax	261	16	k	k	PRON
cord-010715-91fob3ax	261	17	susceptible	susceptible	ADJ
cord-010715-91fob3ax	261	18	neighbors	neighbor	NOUN
cord-010715-91fob3ax	261	19	before	before	ADP
cord-010715-91fob3ax	261	20	being	be	AUX
cord-010715-91fob3ax	261	21	removed	remove	VERB
cord-010715-91fob3ax	261	22	[	[	X
cord-010715-91fob3ax	261	23	(	(	PUNCT
cord-010715-91fob3ax	261	24	a)→(d	a)→(d	ADJ
cord-010715-91fob3ax	261	25	)	)	PUNCT
cord-010715-91fob3ax	261	26	]	]	PUNCT
cord-010715-91fob3ax	261	27	.	.	PUNCT
cord-010715-91fob3ax	262	1	the	the	DET
cord-010715-91fob3ax	262	2	probability	probability	NOUN
cord-010715-91fob3ax	262	3	that	that	SCONJ
cord-010715-91fob3ax	262	4	this	this	DET
cord-010715-91fob3ax	262	5	infected	infect	VERB
cord-010715-91fob3ax	262	6	node	node	PROPN
cord-010715-91fob3ax	262	7	is	be	AUX
cord-010715-91fob3ax	262	8	removed	remove	VERB
cord-010715-91fob3ax	262	9	before	before	ADP
cord-010715-91fob3ax	262	10	infecting	infect	VERB
cord-010715-91fob3ax	262	11	any	any	DET
cord-010715-91fob3ax	262	12	neighbors	neighbor	NOUN
cord-010715-91fob3ax	262	13	[	[	X
cord-010715-91fob3ax	262	14	(	(	PUNCT
cord-010715-91fob3ax	262	15	a)→(b	a)→(b	NOUN
cord-010715-91fob3ax	262	16	)	)	PUNCT
cord-010715-91fob3ax	262	17	]	]	PUNCT
cord-010715-91fob3ax	262	18	is	be	AUX
cord-010715-91fob3ax	262	19	p	p	NOUN
cord-010715-91fob3ax	262	20	(	(	PUNCT
cord-010715-91fob3ax	262	21	k	k	NOUN
cord-010715-91fob3ax	262	22	)	)	PUNCT
cord-010715-91fob3ax	262	23	0	0	NUM
cord-010715-91fob3ax	262	24	=	=	SYM
cord-010715-91fob3ax	262	25	1/(1	1/(1	NUM
cord-010715-91fob3ax	262	26	+	+	SYM
cord-010715-91fob3ax	262	27	kλ	kλ	NUM
cord-010715-91fob3ax	262	28	)	)	PUNCT
cord-010715-91fob3ax	262	29	.	.	PUNCT
cord-010715-91fob3ax	263	1	on	on	ADP
cord-010715-91fob3ax	263	2	the	the	DET
cord-010715-91fob3ax	263	3	other	other	ADJ
cord-010715-91fob3ax	263	4	hand	hand	NOUN
cord-010715-91fob3ax	263	5	,	,	PUNCT
cord-010715-91fob3ax	263	6	the	the	DET
cord-010715-91fob3ax	263	7	event	event	NOUN
cord-010715-91fob3ax	263	8	that	that	PRON
cord-010715-91fob3ax	263	9	this	this	DET
cord-010715-91fob3ax	263	10	node	node	NOUN
cord-010715-91fob3ax	263	11	infects	infect	VERB
cord-010715-91fob3ax	263	12	one	one	NUM
cord-010715-91fob3ax	263	13	susceptible	susceptible	ADJ
cord-010715-91fob3ax	263	14	neighbor	neighbor	NOUN
cord-010715-91fob3ax	263	15	[	[	X
cord-010715-91fob3ax	263	16	(	(	PUNCT
cord-010715-91fob3ax	263	17	a)→(c	a)→(c	NOUN
cord-010715-91fob3ax	263	18	)	)	PUNCT
cord-010715-91fob3ax	263	19	]	]	PUNCT
cord-010715-91fob3ax	263	20	occurs	occur	VERB
cord-010715-91fob3ax	263	21	with	with	ADP
cord-010715-91fob3ax	263	22	probability	probability	NOUN
cord-010715-91fob3ax	263	23	1	1	NUM
cord-010715-91fob3ax	263	24	−	−	PROPN
cord-010715-91fob3ax	263	25	p	p	PROPN
cord-010715-91fob3ax	263	26	(	(	PUNCT
cord-010715-91fob3ax	263	27	k	k	NOUN
cord-010715-91fob3ax	263	28	)	)	PUNCT
cord-010715-91fob3ax	263	29	0	0	NUM
cord-010715-91fob3ax	264	1	=	=	NOUN
cord-010715-91fob3ax	264	2	kλ/(1	kλ/(1	NOUN
cord-010715-91fob3ax	264	3	+	+	NOUN
cord-010715-91fob3ax	264	4	kλ	kλ	NUM
cord-010715-91fob3ax	264	5	)	)	PUNCT
cord-010715-91fob3ax	264	6	.	.	PUNCT
cord-010715-91fob3ax	265	1	at	at	ADP
cord-010715-91fob3ax	265	2	(	(	PUNCT
cord-010715-91fob3ax	265	3	c	c	NOUN
cord-010715-91fob3ax	265	4	)	)	PUNCT
cord-010715-91fob3ax	265	5	,	,	PUNCT
cord-010715-91fob3ax	265	6	the	the	DET
cord-010715-91fob3ax	265	7	focal	focal	ADJ
cord-010715-91fob3ax	265	8	infected	infect	VERB
cord-010715-91fob3ax	265	9	node	node	NOUN
cord-010715-91fob3ax	265	10	infects	infect	VERB
cord-010715-91fob3ax	265	11	further	far	ADV
cord-010715-91fob3ax	265	12	−	−	SYM
cord-010715-91fob3ax	265	13	1	1	NUM
cord-010715-91fob3ax	265	14	nodes	node	NOUN
cord-010715-91fob3ax	265	15	from	from	ADP
cord-010715-91fob3ax	265	16	k	k	PROPN
cord-010715-91fob3ax	265	17	−	−	SYM
cord-010715-91fob3ax	265	18	1	1	NUM
cord-010715-91fob3ax	265	19	remaining	remain	VERB
cord-010715-91fob3ax	265	20	neighbors	neighbor	NOUN
cord-010715-91fob3ax	265	21	before	before	ADP
cord-010715-91fob3ax	265	22	being	be	AUX
cord-010715-91fob3ax	265	23	removed	remove	VERB
cord-010715-91fob3ax	265	24	[	[	X
cord-010715-91fob3ax	265	25	(	(	PUNCT
cord-010715-91fob3ax	265	26	c)→(d	c)→(d	PROPN
cord-010715-91fob3ax	265	27	)	)	PUNCT
cord-010715-91fob3ax	265	28	]	]	PUNCT
cord-010715-91fob3ax	265	29	with	with	ADP
cord-010715-91fob3ax	265	30	probability	probability	NOUN
cord-010715-91fob3ax	265	31	p	p	PROPN
cord-010715-91fob3ax	265	32	(	(	PUNCT
cord-010715-91fob3ax	265	33	k−1	k−1	PROPN
cord-010715-91fob3ax	265	34	)	)	PUNCT
cord-010715-91fob3ax	265	35	−1	−1	NOUN
cord-010715-91fob3ax	265	36	because	because	SCONJ
cord-010715-91fob3ax	265	37	the	the	DET
cord-010715-91fob3ax	265	38	infecting	infecting	NOUN
cord-010715-91fob3ax	265	39	process	process	NOUN
cord-010715-91fob3ax	265	40	is	be	AUX
cord-010715-91fob3ax	265	41	markovian	markovian	ADJ
cord-010715-91fob3ax	265	42	.	.	PUNCT
cord-010715-91fob3ax	266	1	thus	thus	ADV
cord-010715-91fob3ax	266	2	,	,	PUNCT
cord-010715-91fob3ax	266	3	p	p	PROPN
cord-010715-91fob3ax	266	4	(	(	PUNCT
cord-010715-91fob3ax	266	5	k	k	NOUN
cord-010715-91fob3ax	266	6	)	)	PUNCT
cord-010715-91fob3ax	266	7	,	,	PUNCT
cord-010715-91fob3ax	266	8	which	which	PRON
cord-010715-91fob3ax	266	9	is	be	AUX
cord-010715-91fob3ax	266	10	the	the	DET
cord-010715-91fob3ax	266	11	probability	probability	NOUN
cord-010715-91fob3ax	266	12	from	from	ADP
cord-010715-91fob3ax	266	13	(	(	PUNCT
cord-010715-91fob3ax	266	14	a	a	PRON
cord-010715-91fob3ax	266	15	)	)	PUNCT
cord-010715-91fob3ax	266	16	to	to	ADP
cord-010715-91fob3ax	266	17	(	(	PUNCT
cord-010715-91fob3ax	266	18	d	d	PROPN
cord-010715-91fob3ax	266	19	)	)	PUNCT
cord-010715-91fob3ax	266	20	,	,	PUNCT
cord-010715-91fob3ax	266	21	is	be	AUX
cord-010715-91fob3ax	266	22	given	give	VERB
cord-010715-91fob3ax	266	23	as	as	ADP
cord-010715-91fob3ax	266	24	p	p	PROPN
cord-010715-91fob3ax	266	25	(	(	PUNCT
cord-010715-91fob3ax	266	26	k−1	k−1	PROPN
cord-010715-91fob3ax	266	27	)	)	PUNCT
cord-010715-91fob3ax	266	28	−1	−1	NOUN
cord-010715-91fob3ax	267	1	×	×	INTJ
cord-010715-91fob3ax	267	2	kλ/(1	kλ/(1	X
cord-010715-91fob3ax	268	1	+	+	NOUN
cord-010715-91fob3ax	268	2	kλ	kλ	NUM
cord-010715-91fob3ax	268	3	)	)	PUNCT
cord-010715-91fob3ax	268	4	.	.	PUNCT
cord-010715-91fob3ax	269	1	from	from	ADP
cord-010715-91fob3ax	269	2	a	a	DET
cord-010715-91fob3ax	269	3	single	single	ADJ
cord-010715-91fob3ax	269	4	seed	seed	NOUN
cord-010715-91fob3ax	269	5	,	,	PUNCT
cord-010715-91fob3ax	269	6	p	p	PROPN
cord-010715-91fob3ax	269	7	n	n	NOUN
cord-010715-91fob3ax	269	8	can	can	AUX
cord-010715-91fob3ax	269	9	be	be	AUX
cord-010715-91fob3ax	269	10	evaluated	evaluate	VERB
cord-010715-91fob3ax	269	11	as	as	ADP
cord-010715-91fob3ax	269	12	where	where	SCONJ
cord-010715-91fob3ax	269	13	z	z	X
cord-010715-91fob3ax	269	14	ν	ν	X
cord-010715-91fob3ax	269	15	=	=	NOUN
cord-010715-91fob3ax	269	16	z	z	NOUN
cord-010715-91fob3ax	269	17	−	−	PROPN
cord-010715-91fob3ax	269	18	ν	ν	PROPN
cord-010715-91fob3ax	269	19	(	(	PUNCT
cord-010715-91fob3ax	269	20	fig	fig	NOUN
cord-010715-91fob3ax	269	21	.	.	PUNCT
cord-010715-91fob3ax	269	22	9	9	NUM
cord-010715-91fob3ax	269	23	)	)	PUNCT
cord-010715-91fob3ax	269	24	.	.	PUNCT
cord-010715-91fob3ax	270	1	introducing	introduce	VERB
cord-010715-91fob3ax	270	2	the	the	DET
cord-010715-91fob3ax	270	3	corresponding	correspond	VERB
cord-010715-91fob3ax	270	4	generating	generating	NOUN
cord-010715-91fob3ax	270	5	functions	function	NOUN
cord-010715-91fob3ax	270	6	,	,	PUNCT
cord-010715-91fob3ax	270	7	we	we	PRON
cord-010715-91fob3ax	270	8	can	can	AUX
cord-010715-91fob3ax	270	9	express	express	VERB
cord-010715-91fob3ax	270	10	the	the	DET
cord-010715-91fob3ax	270	11	above	above	ADJ
cord-010715-91fob3ax	270	12	relations	relation	NOUN
cord-010715-91fob3ax	270	13	(	(	PUNCT
cord-010715-91fob3ax	270	14	b4	b4	PROPN
cord-010715-91fob3ax	270	15	)	)	PUNCT
cord-010715-91fob3ax	270	16	and	and	CCONJ
cord-010715-91fob3ax	270	17	(	(	PUNCT
cord-010715-91fob3ax	270	18	b5	b5	PROPN
cord-010715-91fob3ax	270	19	)	)	PUNCT
cord-010715-91fob3ax	270	20	in	in	ADP
cord-010715-91fob3ax	270	21	a	a	DET
cord-010715-91fob3ax	270	22	compact	compact	ADJ
cord-010715-91fob3ax	270	23	form	form	NOUN
cord-010715-91fob3ax	270	24	as	as	ADP
cord-010715-91fob3ax	270	25	g	g	NOUN
cord-010715-91fob3ax	270	26	0	0	NUM
cord-010715-91fob3ax	270	27	(	(	PUNCT
cord-010715-91fob3ax	270	28	x	x	X
cord-010715-91fob3ax	270	29	)	)	PUNCT
cord-010715-91fob3ax	270	30	=	=	NOUN
cord-010715-91fob3ax	270	31	xg	xg	INTJ
cord-010715-91fob3ax	270	32	z	z	PROPN
cord-010715-91fob3ax	271	1	(	(	PUNCT
cord-010715-91fob3ax	272	1	g	g	NOUN
cord-010715-91fob3ax	272	2	1	1	NUM
cord-010715-91fob3ax	272	3	(	(	PUNCT
cord-010715-91fob3ax	272	4	x	x	X
cord-010715-91fob3ax	272	5	)	)	PUNCT
cord-010715-91fob3ax	272	6	)	)	PUNCT
cord-010715-91fob3ax	272	7	(	(	PUNCT
cord-010715-91fob3ax	272	8	b7	b7	NOUN
cord-010715-91fob3ax	272	9	)	)	PUNCT
cord-010715-91fob3ax	272	10	and	and	CCONJ
cord-010715-91fob3ax	272	11	g	g	NOUN
cord-010715-91fob3ax	272	12	1	1	NUM
cord-010715-91fob3ax	272	13	(	(	PUNCT
cord-010715-91fob3ax	272	14	x	x	NOUN
cord-010715-91fob3ax	272	15	)	)	PUNCT
cord-010715-91fob3ax	272	16	=	=	NOUN
cord-010715-91fob3ax	272	17	xg	xg	PROPN
cord-010715-91fob3ax	272	18	z	z	PROPN
cord-010715-91fob3ax	272	19	1	1	NUM
cord-010715-91fob3ax	272	20	(	(	PUNCT
cord-010715-91fob3ax	272	21	g	g	NOUN
cord-010715-91fob3ax	272	22	1	1	NUM
cord-010715-91fob3ax	272	23	(	(	PUNCT
cord-010715-91fob3ax	272	24	x	x	X
cord-010715-91fob3ax	272	25	)	)	PUNCT
cord-010715-91fob3ax	272	26	)	)	PUNCT
cord-010715-91fob3ax	272	27	,	,	PUNCT
cord-010715-91fob3ax	272	28	respectively	respectively	ADV
cord-010715-91fob3ax	272	29	.	.	PUNCT
cord-010715-91fob3ax	273	1	what	what	PRON
cord-010715-91fob3ax	273	2	we	we	PRON
cord-010715-91fob3ax	273	3	want	want	VERB
cord-010715-91fob3ax	273	4	to	to	PART
cord-010715-91fob3ax	273	5	know	know	VERB
cord-010715-91fob3ax	273	6	is	be	AUX
cord-010715-91fob3ax	273	7	the	the	DET
cord-010715-91fob3ax	273	8	mean	mean	ADJ
cord-010715-91fob3ax	273	9	size	size	NOUN
cord-010715-91fob3ax	273	10	of	of	ADP
cord-010715-91fob3ax	273	11	the	the	DET
cord-010715-91fob3ax	273	12	r	r	NOUN
cord-010715-91fob3ax	273	13	component	component	NOUN
cord-010715-91fob3ax	273	14	,	,	PUNCT
cord-010715-91fob3ax	273	15	n	n	NOUN
cord-010715-91fob3ax	273	16	=	=	PROPN
cord-010715-91fob3ax	273	17	g	g	X
cord-010715-91fob3ax	273	18	0	0	NUM
cord-010715-91fob3ax	273	19	(	(	PUNCT
cord-010715-91fob3ax	273	20	1	1	NUM
cord-010715-91fob3ax	273	21	)	)	PUNCT
cord-010715-91fob3ax	273	22	,	,	PUNCT
cord-010715-91fob3ax	273	23	and	and	CCONJ
cord-010715-91fob3ax	273	24	the	the	DET
cord-010715-91fob3ax	273	25	mean	mean	ADJ
cord-010715-91fob3ax	273	26	square	square	ADJ
cord-010715-91fob3ax	273	27	size	size	NOUN
cord-010715-91fob3ax	273	28	of	of	ADP
cord-010715-91fob3ax	273	29	the	the	DET
cord-010715-91fob3ax	273	30	r	r	NOUN
cord-010715-91fob3ax	273	31	component	component	NOUN
cord-010715-91fob3ax	273	32	,	,	PUNCT
cord-010715-91fob3ax	273	33	n	n	NOUN
cord-010715-91fob3ax	273	34	2	2	NUM
cord-010715-91fob3ax	273	35	=	=	NOUN
cord-010715-91fob3ax	273	36	g	g	NOUN
cord-010715-91fob3ax	273	37	0	0	NUM
cord-010715-91fob3ax	273	38	(	(	PUNCT
cord-010715-91fob3ax	273	39	1	1	NUM
cord-010715-91fob3ax	273	40	)	)	PUNCT
cord-010715-91fob3ax	273	41	+	+	NUM
cord-010715-91fob3ax	273	42	g	g	NOUN
cord-010715-91fob3ax	273	43	0	0	NUM
cord-010715-91fob3ax	273	44	(	(	PUNCT
cord-010715-91fob3ax	273	45	1	1	NUM
cord-010715-91fob3ax	273	46	)	)	PUNCT
cord-010715-91fob3ax	273	47	.	.	PUNCT
cord-010715-91fob3ax	274	1	to	to	PART
cord-010715-91fob3ax	274	2	evaluate	evaluate	VERB
cord-010715-91fob3ax	274	3	these	these	DET
cord-010715-91fob3ax	274	4	values	value	NOUN
cord-010715-91fob3ax	274	5	,	,	PUNCT
cord-010715-91fob3ax	274	6	we	we	PRON
cord-010715-91fob3ax	274	7	need	need	VERB
cord-010715-91fob3ax	274	8	the	the	DET
cord-010715-91fob3ax	274	9	derivative	derivative	NOUN
cord-010715-91fob3ax	274	10	of	of	ADP
cord-010715-91fob3ax	274	11	g	g	PROPN
cord-010715-91fob3ax	274	12	k	k	PROPN
cord-010715-91fob3ax	274	13	(	(	PUNCT
cord-010715-91fob3ax	274	14	x	x	X
cord-010715-91fob3ax	274	15	)	)	PUNCT
cord-010715-91fob3ax	274	16	,	,	PUNCT
cord-010715-91fob3ax	274	17	which	which	PRON
cord-010715-91fob3ax	274	18	is	be	AUX
cord-010715-91fob3ax	274	19	given	give	VERB
cord-010715-91fob3ax	274	20	by	by	ADP
cord-010715-91fob3ax	274	21	from	from	ADP
cord-010715-91fob3ax	274	22	which	which	PRON
cord-010715-91fob3ax	274	23	the	the	DET
cord-010715-91fob3ax	274	24	mean	mean	NOUN
cord-010715-91fob3ax	274	25	value	value	NOUN
cord-010715-91fob3ax	274	26	k	k	PROPN
cord-010715-91fob3ax	274	27	is	be	AUX
cord-010715-91fob3ax	274	28	easily	easily	ADV
cord-010715-91fob3ax	274	29	found	find	VERB
cord-010715-91fob3ax	274	30	to	to	PART
cord-010715-91fob3ax	274	31	be	be	AUX
cord-010715-91fob3ax	274	32	one	one	NUM
cord-010715-91fob3ax	274	33	also	also	ADV
cord-010715-91fob3ax	274	34	requires	require	VERB
cord-010715-91fob3ax	274	35	the	the	DET
cord-010715-91fob3ax	274	36	second	second	ADJ
cord-010715-91fob3ax	274	37	derivative	derivative	NOUN
cord-010715-91fob3ax	274	38	,	,	PUNCT
cord-010715-91fob3ax	274	39	so	so	SCONJ
cord-010715-91fob3ax	274	40	that	that	SCONJ
cord-010715-91fob3ax	274	41	yielding	yield	VERB
cord-010715-91fob3ax	274	42	now	now	ADV
cord-010715-91fob3ax	274	43	we	we	PRON
cord-010715-91fob3ax	274	44	can	can	AUX
cord-010715-91fob3ax	274	45	evaluate	evaluate	VERB
cord-010715-91fob3ax	274	46	the	the	DET
cord-010715-91fob3ax	274	47	derivatives	derivative	NOUN
cord-010715-91fob3ax	274	48	of	of	ADP
cord-010715-91fob3ax	274	49	g	g	NOUN
cord-010715-91fob3ax	274	50	0	0	NUM
cord-010715-91fob3ax	274	51	(	(	PUNCT
cord-010715-91fob3ax	274	52	x	x	NOUN
cord-010715-91fob3ax	274	53	)	)	PUNCT
cord-010715-91fob3ax	274	54	and	and	CCONJ
cord-010715-91fob3ax	274	55	g	g	NOUN
cord-010715-91fob3ax	274	56	1	1	NUM
cord-010715-91fob3ax	274	57	(	(	PUNCT
cord-010715-91fob3ax	274	58	x	x	X
cord-010715-91fob3ax	274	59	)	)	PUNCT
cord-010715-91fob3ax	274	60	as	as	ADP
cord-010715-91fob3ax	274	61	g	g	PROPN
cord-010715-91fob3ax	274	62	0	0	NUM
cord-010715-91fob3ax	274	63	=	=	SYM
cord-010715-91fob3ax	274	64	2	2	NUM
cord-010715-91fob3ax	274	65	g	g	X
cord-010715-91fob3ax	274	66	z	z	X
cord-010715-91fob3ax	274	67	(	(	PUNCT
cord-010715-91fob3ax	274	68	g	g	NOUN
cord-010715-91fob3ax	274	69	1	1	NUM
cord-010715-91fob3ax	274	70	)	)	PUNCT
cord-010715-91fob3ax	274	71	g	g	NOUN
cord-010715-91fob3ax	274	72	1	1	NUM
cord-010715-91fob3ax	274	73	+	+	NUM
cord-010715-91fob3ax	274	74	xg	xg	INTJ
cord-010715-91fob3ax	274	75	z	z	PROPN
cord-010715-91fob3ax	274	76	(	(	PUNCT
cord-010715-91fob3ax	274	77	g	g	NOUN
cord-010715-91fob3ax	274	78	1	1	NUM
cord-010715-91fob3ax	274	79	)	)	PUNCT
cord-010715-91fob3ax	274	80	g	g	NOUN
cord-010715-91fob3ax	274	81	2	2	NUM
cord-010715-91fob3ax	274	82	1	1	NUM
cord-010715-91fob3ax	274	83	+	+	NUM
cord-010715-91fob3ax	275	1	xg	xg	INTJ
cord-010715-91fob3ax	276	1	z	z	PROPN
cord-010715-91fob3ax	277	1	(	(	PUNCT
cord-010715-91fob3ax	277	2	g	g	NOUN
cord-010715-91fob3ax	277	3	1	1	NUM
cord-010715-91fob3ax	277	4	)	)	PUNCT
cord-010715-91fob3ax	277	5	g	g	NOUN
cord-010715-91fob3ax	277	6	1	1	NUM
cord-010715-91fob3ax	277	7	(	(	PUNCT
cord-010715-91fob3ax	277	8	b15	b15	NOUN
cord-010715-91fob3ax	277	9	)	)	PUNCT
cord-010715-91fob3ax	277	10	and	and	CCONJ
cord-010715-91fob3ax	277	11	g	g	PROPN
cord-010715-91fob3ax	277	12	1	1	NUM
cord-010715-91fob3ax	277	13	=	=	NOUN
cord-010715-91fob3ax	277	14	g	g	NOUN
cord-010715-91fob3ax	277	15	z	z	NOUN
cord-010715-91fob3ax	277	16	1	1	NUM
cord-010715-91fob3ax	277	17	(	(	PUNCT
cord-010715-91fob3ax	277	18	g	g	NOUN
cord-010715-91fob3ax	277	19	1	1	NUM
cord-010715-91fob3ax	277	20	)	)	PUNCT
cord-010715-91fob3ax	278	1	+	+	CCONJ
cord-010715-91fob3ax	279	1	xg	xg	PROPN
cord-010715-91fob3ax	279	2	z	z	NOUN
cord-010715-91fob3ax	279	3	1	1	NUM
cord-010715-91fob3ax	279	4	(	(	PUNCT
cord-010715-91fob3ax	279	5	g	g	NOUN
cord-010715-91fob3ax	279	6	1	1	NUM
cord-010715-91fob3ax	279	7	)	)	PUNCT
cord-010715-91fob3ax	279	8	g	g	NOUN
cord-010715-91fob3ax	279	9	1	1	NUM
cord-010715-91fob3ax	279	10	,	,	PUNCT
cord-010715-91fob3ax	279	11	g	g	NOUN
cord-010715-91fob3ax	279	12	1	1	NUM
cord-010715-91fob3ax	279	13	=	=	SYM
cord-010715-91fob3ax	279	14	2	2	NUM
cord-010715-91fob3ax	279	15	g	g	NOUN
cord-010715-91fob3ax	279	16	z	z	PROPN
cord-010715-91fob3ax	279	17	1	1	NUM
cord-010715-91fob3ax	279	18	(	(	PUNCT
cord-010715-91fob3ax	279	19	g	g	NOUN
cord-010715-91fob3ax	279	20	1	1	NUM
cord-010715-91fob3ax	279	21	)	)	PUNCT
cord-010715-91fob3ax	279	22	g	g	NOUN
cord-010715-91fob3ax	279	23	1	1	NUM
cord-010715-91fob3ax	279	24	+	+	NUM
cord-010715-91fob3ax	279	25	xg	xg	NOUN
cord-010715-91fob3ax	279	26	z	z	NOUN
cord-010715-91fob3ax	279	27	1	1	NUM
cord-010715-91fob3ax	279	28	(	(	PUNCT
cord-010715-91fob3ax	279	29	g	g	NOUN
cord-010715-91fob3ax	279	30	1	1	NUM
cord-010715-91fob3ax	279	31	)	)	PUNCT
cord-010715-91fob3ax	279	32	g	g	NOUN
cord-010715-91fob3ax	279	33	2	2	NUM
cord-010715-91fob3ax	279	34	1	1	NUM
cord-010715-91fob3ax	279	35	+	+	NUM
cord-010715-91fob3ax	279	36	xg	xg	NOUN
cord-010715-91fob3ax	279	37	z	z	NOUN
cord-010715-91fob3ax	279	38	1	1	NUM
cord-010715-91fob3ax	279	39	(	(	PUNCT
cord-010715-91fob3ax	279	40	g	g	NOUN
cord-010715-91fob3ax	279	41	1	1	NUM
cord-010715-91fob3ax	279	42	)	)	PUNCT
cord-010715-91fob3ax	279	43	g	g	NOUN
cord-010715-91fob3ax	279	44	1	1	NUM
cord-010715-91fob3ax	279	45	.	.	PUNCT
cord-010715-91fob3ax	280	1	(	(	PUNCT
cord-010715-91fob3ax	280	2	b17	b17	NOUN
cord-010715-91fob3ax	280	3	)	)	PUNCT
cord-010715-91fob3ax	280	4	infectious	infectious	ADJ
cord-010715-91fob3ax	280	5	diseases	disease	NOUN
cord-010715-91fob3ax	280	6	of	of	ADP
cord-010715-91fob3ax	280	7	humans	human	NOUN
cord-010715-91fob3ax	280	8	:	:	PUNCT
cord-010715-91fob3ax	280	9	dynamics	dynamic	NOUN
cord-010715-91fob3ax	280	10	and	and	CCONJ
cord-010715-91fob3ax	280	11	control	control	VERB
cord-010715-91fob3ax	280	12	dynamical	dynamical	ADJ
cord-010715-91fob3ax	280	13	processes	process	NOUN
cord-010715-91fob3ax	280	14	on	on	ADP
cord-010715-91fob3ax	280	15	complex	complex	ADJ
cord-010715-91fob3ax	280	16	networks	network	NOUN
cord-010715-91fob3ax	280	17	here	here	ADV
cord-010715-91fob3ax	280	18	we	we	PRON
cord-010715-91fob3ax	280	19	replaced	replace	VERB
cord-010715-91fob3ax	280	20	the	the	DET
cord-010715-91fob3ax	280	21	transmissibility	transmissibility	NOUN
cord-010715-91fob3ax	280	22	t	t	NOUN
cord-010715-91fob3ax	280	23	in	in	ADP
cord-010715-91fob3ax	280	24	[	[	X
cord-010715-91fob3ax	280	25	10	10	NUM
cord-010715-91fob3ax	280	26	]	]	PUNCT
cord-010715-91fob3ax	280	27	with	with	ADP
cord-010715-91fob3ax	280	28	λ	λ	PROPN
cord-010715-91fob3ax	280	29	as	as	ADP
cord-010715-91fob3ax	280	30	t	t	NOUN
cord-010715-91fob3ax	280	31	=	=	NOUN
cord-010715-91fob3ax	280	32	λ/(μ	λ/(μ	X
cord-010715-91fob3ax	280	33	+	+	NOUN
cord-010715-91fob3ax	280	34	λ	λ	NOUN
cord-010715-91fob3ax	280	35	)	)	PUNCT
cord-010715-91fob3ax	280	36	with	with	ADP
cord-010715-91fob3ax	280	37	μ	μ	X
cord-010715-91fob3ax	280	38	=	=	SYM
cord-010715-91fob3ax	280	39	1	1	NUM
cord-010715-91fob3ax	280	40	the	the	DET
cord-010715-91fob3ax	280	41	susceptibilities	susceptibility	NOUN
cord-010715-91fob3ax	280	42	χ	χ	X
cord-010715-91fob3ax	280	43	r	r	NOUN
cord-010715-91fob3ax	280	44	and	and	CCONJ
cord-010715-91fob3ax	280	45	χ	χ	NUM
cord-010715-91fob3ax	280	46	s	s	NOUN
cord-010715-91fob3ax	280	47	are	be	AUX
cord-010715-91fob3ax	280	48	given	give	VERB
cord-010715-91fob3ax	280	49	as	as	ADP
cord-010715-91fob3ax	280	50	χ	χ	PROPN
cord-010715-91fob3ax	280	51	r	r	NOUN
cord-010715-91fob3ax	280	52	=	=	X
cord-010715-91fob3ax	280	53	r	r	NOUN
cord-010715-91fob3ax	281	1	=	=	X
cord-010715-91fob3ax	281	2	rmax	rmax	X
cord-010715-91fob3ax	281	3	r	r	NOUN
cord-010715-91fob3ax	281	4	2	2	NUM
cord-010715-91fob3ax	281	5	n	n	NOUN
cord-010715-91fob3ax	281	6	r	r	NOUN
cord-010715-91fob3ax	281	7	(	(	PUNCT
cord-010715-91fob3ax	281	8	r	r	NOUN
cord-010715-91fob3ax	281	9	)	)	PUNCT
cord-010715-91fob3ax	281	10	and	and	CCONJ
cord-010715-91fob3ax	282	1	χ	χ	PROPN
cord-010715-91fob3ax	282	2	s	s	PROPN
cord-010715-91fob3ax	282	3	=	=	X
cord-010715-91fob3ax	282	4	s	s	X
cord-010715-91fob3ax	282	5	=	=	NOUN
cord-010715-91fob3ax	282	6	smax	smax	PROPN
cord-010715-91fob3ax	282	7	s	s	PROPN
cord-010715-91fob3ax	282	8	2	2	NUM
cord-010715-91fob3ax	282	9	n	n	SYM
cord-010715-91fob3ax	282	10	s	s	PROPN
cord-010715-91fob3ax	282	11	(	(	PUNCT
cord-010715-91fob3ax	282	12	s	s	PROPN
cord-010715-91fob3ax	282	13	)	)	PUNCT
cord-010715-91fob3ax	282	14	introduction	introduction	NOUN
cord-010715-91fob3ax	282	15	to	to	PART
cord-010715-91fob3ax	282	16	percolation	percolation	VERB
cord-010715-91fob3ax	282	17	theory	theory	NOUN
cord-010715-91fob3ax	282	18	finite	finite	NOUN
cord-010715-91fob3ax	282	19	components	component	NOUN
cord-010715-91fob3ax	282	20	have	have	VERB
cord-010715-91fob3ax	282	21	no	no	DET
cord-010715-91fob3ax	282	22	cyclic	cyclic	ADJ
cord-010715-91fob3ax	282	23	path	path	NOUN
cord-010715-91fob3ax	282	24	in	in	ADP
cord-010715-91fob3ax	282	25	infinite	infinite	NOUN
cord-010715-91fob3ax	282	26	locally	locally	ADV
cord-010715-91fob3ax	282	27	treelike	treelike	NOUN
cord-010715-91fob3ax	282	28	networks	network	NOUN
cord-010715-91fob3ax	282	29	let	let	VERB
cord-010715-91fob3ax	282	30	us	we	PRON
cord-010715-91fob3ax	282	31	consider	consider	VERB
cord-010715-91fob3ax	282	32	a	a	DET
cord-010715-91fob3ax	282	33	finite	finite	NOUN
cord-010715-91fob3ax	282	34	network	network	NOUN
cord-010715-91fob3ax	282	35	with	with	ADP
cord-010715-91fob3ax	282	36	n	n	DET
cord-010715-91fob3ax	282	37	nodes	node	NOUN
cord-010715-91fob3ax	282	38	.	.	PUNCT
cord-010715-91fob3ax	283	1	the	the	DET
cord-010715-91fob3ax	283	2	number	number	NOUN
cord-010715-91fob3ax	283	3	of	of	ADP
cord-010715-91fob3ax	283	4	seeds	seed	NOUN
cord-010715-91fob3ax	283	5	is	be	AUX
cord-010715-91fob3ax	283	6	nρ	nρ	PROPN
cord-010715-91fob3ax	283	7	,	,	PUNCT
cord-010715-91fob3ax	283	8	and	and	CCONJ
cord-010715-91fob3ax	283	9	the	the	DET
cord-010715-91fob3ax	283	10	mean	mean	ADJ
cord-010715-91fob3ax	283	11	r	r	X
cord-010715-91fob3ax	283	12	-	-	PUNCT
cord-010715-91fob3ax	283	13	component	component	NOUN
cord-010715-91fob3ax	283	14	size	size	NOUN
cord-010715-91fob3ax	283	15	for	for	ADP
cord-010715-91fob3ax	283	16	each	each	DET
cord-010715-91fob3ax	283	17	seed	seed	NOUN
cord-010715-91fob3ax	283	18	is	be	AUX
cord-010715-91fob3ax	283	19	n	n	ADV
cord-010715-91fob3ax	283	20	fig	fig	NOUN
cord-010715-91fob3ax	283	21	.	.	PUNCT
cord-010715-91fob3ax	284	1	9	9	X
cord-010715-91fob3ax	284	2	.	.	X
cord-010715-91fob3ax	284	3	schematic	schematic	NOUN
cord-010715-91fob3ax	284	4	of	of	ADP
cord-010715-91fob3ax	284	5	p	p	PROPN
cord-010715-91fob3ax	284	6	n	n	NOUN
cord-010715-91fob3ax	284	7	(	(	PUNCT
cord-010715-91fob3ax	284	8	top	top	ADJ
cord-010715-91fob3ax	284	9	)	)	PUNCT
cord-010715-91fob3ax	284	10	and	and	CCONJ
cord-010715-91fob3ax	284	11	q	q	NOUN
cord-010715-91fob3ax	284	12	n	n	NOUN
cord-010715-91fob3ax	284	13	(	(	PUNCT
cord-010715-91fob3ax	284	14	bottom	bottom	NOUN
cord-010715-91fob3ax	284	15	)	)	PUNCT
cord-010715-91fob3ax	284	16	for	for	ADP
cord-010715-91fob3ax	284	17	the	the	DET
cord-010715-91fob3ax	284	18	case	case	NOUN
cord-010715-91fob3ax	284	19	of	of	ADP
cord-010715-91fob3ax	284	20	the	the	DET
cord-010715-91fob3ax	284	21	rrg	rrg	NOUN
cord-010715-91fob3ax	284	22	with	with	ADP
cord-010715-91fob3ax	284	23	z	z	NOUN
cord-010715-91fob3ax	284	24	=	=	NOUN
cord-010715-91fob3ax	284	25	3	3	NUM
cord-010715-91fob3ax	284	26	:	:	PUNCT
cord-010715-91fob3ax	284	27	p	p	PROPN
cord-010715-91fob3ax	284	28	n	n	PROPN
cord-010715-91fob3ax	284	29	=	=	PROPN
cord-010715-91fob3ax	284	30	p	p	PROPN
cord-010715-91fob3ax	284	31	(	(	PUNCT
cord-010715-91fob3ax	284	32	3	3	NUM
cord-010715-91fob3ax	284	33	)	)	PUNCT
cord-010715-91fob3ax	284	34	0	0	NUM
cord-010715-91fob3ax	285	1	δ	δ	NOUN
cord-010715-91fob3ax	285	2	n,1	n,1	NOUN
cord-010715-91fob3ax	285	3	+	+	CCONJ
cord-010715-91fob3ax	285	4	p	p	NOUN
cord-010715-91fob3ax	285	5	(	(	PUNCT
cord-010715-91fob3ax	285	6	3	3	NUM
cord-010715-91fob3ax	285	7	)	)	PUNCT
cord-010715-91fob3ax	285	8	1setting	1setting	NUM
cord-010715-91fob3ax	285	9	x	x	PUNCT
cord-010715-91fob3ax	285	10	=	=	NOUN
cord-010715-91fob3ax	285	11	1	1	NUM
cord-010715-91fob3ax	285	12	gives	give	VERB
cord-010715-91fob3ax	285	13	g	g	PROPN
cord-010715-91fob3ax	285	14	1	1	NUM
cord-010715-91fob3ax	285	15	(	(	PUNCT
cord-010715-91fob3ax	285	16	1	1	NUM
cord-010715-91fob3ax	285	17	)	)	PUNCT
cord-010715-91fob3ax	285	18	=	=	SYM
cord-010715-91fob3ax	285	19	1	1	NUM
cord-010715-91fob3ax	285	20	andthese	andthese	ADJ
cord-010715-91fob3ax	285	21	quantities	quantity	NOUN
cord-010715-91fob3ax	285	22	provide	provide	VERB
cord-010715-91fob3ax	285	23	an	an	DET
cord-010715-91fob3ax	285	24	explicit	explicit	ADJ
cord-010715-91fob3ax	285	25	expression	expression	NOUN
cord-010715-91fob3ax	285	26	for	for	ADP
cord-010715-91fob3ax	285	27	the	the	DET
cord-010715-91fob3ax	285	28	first	first	ADJ
cord-010715-91fob3ax	285	29	moment	moment	NOUN
cord-010715-91fob3ax	285	30	,	,	PUNCT
cord-010715-91fob3ax	285	31	m	m	NOUN
cord-010715-91fob3ax	285	32	1	1	NUM
cord-010715-91fob3ax	285	33	,	,	PUNCT
cord-010715-91fob3ax	285	34	and	and	CCONJ
cord-010715-91fob3ax	285	35	the	the	DET
cord-010715-91fob3ax	285	36	second	second	ADJ
cord-010715-91fob3ax	285	37	cumulant	cumulant	NOUN
cord-010715-91fob3ax	285	38	,	,	PUNCT
cord-010715-91fob3ax	285	39	c	c	NOUN
cord-010715-91fob3ax	285	40	2	2	NUM
cord-010715-91fob3ax	285	41	(	(	PUNCT
cord-010715-91fob3ax	285	42	and	and	CCONJ
cord-010715-91fob3ax	285	43	thus	thus	ADV
cord-010715-91fob3ax	285	44	the	the	DET
cord-010715-91fob3ax	285	45	second	second	ADJ
cord-010715-91fob3ax	285	46	moment	moment	NOUN
cord-010715-91fob3ax	285	47	m	m	VERB
cord-010715-91fob3ax	285	48	2	2	NUM
cord-010715-91fob3ax	285	49	=	=	SYM
cord-010715-91fob3ax	285	50	c	c	NOUN
cord-010715-91fob3ax	285	51	2	2	NUM
cord-010715-91fob3ax	285	52	+	+	SYM
cord-010715-91fob3ax	285	53	m	m	NOUN
cord-010715-91fob3ax	285	54	2	2	NUM
cord-010715-91fob3ax	285	55	1	1	NUM
cord-010715-91fob3ax	285	56	)	)	PUNCT
cord-010715-91fob3ax	285	57	,	,	PUNCT
cord-010715-91fob3ax	285	58	of	of	ADP
cord-010715-91fob3ax	285	59	p	p	PROPN
cord-010715-91fob3ax	285	60	n	n	PROPN
cord-010715-91fob3ax	285	61	aswhen	aswhen	PROPN
cord-010715-91fob3ax	285	62	λ	λ	PROPN
cord-010715-91fob3ax	285	63	approaches	approach	VERB
cord-010715-91fob3ax	285	64	λ	λ	PROPN
cord-010715-91fob3ax	285	65	sir	sir	PROPN
cord-010715-91fob3ax	285	66	c	c	PROPN
cord-010715-91fob3ax	286	1	from	from	ADP
cord-010715-91fob3ax	286	2	below	below	ADV
cord-010715-91fob3ax	286	3	,	,	PUNCT
cord-010715-91fob3ax	286	4	g	g	NOUN
cord-010715-91fob3ax	286	5	1	1	NUM
cord-010715-91fob3ax	286	6	(	(	PUNCT
cord-010715-91fob3ax	286	7	1	1	NUM
cord-010715-91fob3ax	286	8	)	)	PUNCT
cord-010715-91fob3ax	286	9	dominates	dominate	VERB
cord-010715-91fob3ax	286	10	the	the	DET
cord-010715-91fob3ax	286	11	behavior	behavior	NOUN
cord-010715-91fob3ax	286	12	of	of	ADP
cord-010715-91fob3ax	286	13	m	m	NOUN
cord-010715-91fob3ax	286	14	1	1	NUM
cord-010715-91fob3ax	286	15	and	and	CCONJ
cord-010715-91fob3ax	286	16	c	c	NOUN
cord-010715-91fob3ax	286	17	2	2	NUM
cord-010715-91fob3ax	286	18	.	.	PUNCT
cord-010715-91fob3ax	287	1	indeed	indeed	ADV
cord-010715-91fob3ax	287	2	(	(	PUNCT
cord-010715-91fob3ax	287	3	b18	b18	PROPN
cord-010715-91fob3ax	287	4	)	)	PUNCT
cord-010715-91fob3ax	287	5	tells	tell	VERB
cord-010715-91fob3ax	287	6	us	we	PRON
cord-010715-91fob3ax	287	7	that	that	SCONJ
cord-010715-91fob3ax	287	8	g	g	PROPN
cord-010715-91fob3ax	287	9	1	1	NUM
cord-010715-91fob3ax	287	10	(	(	PUNCT
cord-010715-91fob3ax	287	11	1	1	NUM
cord-010715-91fob3ax	287	12	)	)	PUNCT
cord-010715-91fob3ax	287	13	diverges	diverge	NOUN
cord-010715-91fob3ax	287	14	as	as	ADP
cord-010715-91fob3ax	287	15	δλ	δλ	PROPN
cord-010715-91fob3ax	287	16	−1	−1	NOUN
cord-010715-91fob3ax	287	17	,	,	PUNCT
cord-010715-91fob3ax	287	18	where	where	SCONJ
cord-010715-91fob3ax	287	19	δλ	δλ	PROPN
cord-010715-91fob3ax	287	20	=	=	X
cord-010715-91fob3ax	287	21	λ	λ	INTJ
cord-010715-91fob3ax	287	22	sir	sir	PROPN
cord-010715-91fob3ax	287	23	c	c	PROPN
cord-010715-91fob3ax	287	24	−	−	PROPN
cord-010715-91fob3ax	287	25	λ	λ	PROPN
cord-010715-91fob3ax	287	26	,	,	PUNCT
cord-010715-91fob3ax	287	27	and	and	CCONJ
cord-010715-91fob3ax	287	28	thussubstituting	thussubstitute	VERB
cord-010715-91fob3ax	287	29	eq	eq	PROPN
cord-010715-91fob3ax	287	30	.	.	PUNCT
cord-010715-91fob3ax	287	31	(	(	PUNCT
cord-010715-91fob3ax	287	32	b22	b22	PROPN
cord-010715-91fob3ax	287	33	)	)	PUNCT
cord-010715-91fob3ax	287	34	for	for	ADP
cord-010715-91fob3ax	287	35	eq	eq	PROPN
cord-010715-91fob3ax	287	36	.	.	PUNCT
cord-010715-91fob3ax	288	1	(	(	PUNCT
cord-010715-91fob3ax	288	2	26	26	NUM
cord-010715-91fob3ax	288	3	)	)	PUNCT
cord-010715-91fob3ax	288	4	,	,	PUNCT
cord-010715-91fob3ax	288	5	we	we	PRON
cord-010715-91fob3ax	288	6	have	have	VERB
cord-010715-91fob3ax	288	7	a	a	DET
cord-010715-91fob3ax	288	8	power	power	NOUN
cord-010715-91fob3ax	288	9	-	-	PUNCT
cord-010715-91fob3ax	288	10	law	law	NOUN
cord-010715-91fob3ax	288	11	dependence	dependence	NOUN
cord-010715-91fob3ax	288	12	of	of	ADP
cord-010715-91fob3ax	288	13	the	the	DET
cord-010715-91fob3ax	288	14	gap	gap	NOUN
cord-010715-91fob3ax	288	15	δλ	δλ	NOUN
cord-010715-91fob3ax	288	16	on	on	ADP
cord-010715-91fob3ax	288	17	the	the	DET
cord-010715-91fob3ax	288	18	seed	seed	NOUN
cord-010715-91fob3ax	288	19	fraction	fraction	NOUN
cord-010715-91fob3ax	288	20	ρ	ρ	NOUN
cord-010715-91fob3ax	288	21	as	as	ADP
cord-010715-91fob3ax	288	22	eq	eq	PROPN
cord-010715-91fob3ax	288	23	.	.	PUNCT
cord-010715-91fob3ax	289	1	(	(	PUNCT
cord-010715-91fob3ax	289	2	27	27	NUM
cord-010715-91fob3ax	289	3	)	)	PUNCT
cord-010715-91fob3ax	289	4	.	.	PUNCT
cord-010715-91fob3ax	290	1	the	the	DET
cord-010715-91fob3ax	290	2	generating	generate	VERB
cord-010715-91fob3ax	290	3	function	function	NOUN
cord-010715-91fob3ax	290	4	of	of	ADP
cord-010715-91fob3ax	290	5	the	the	DET
cord-010715-91fob3ax	290	6	probability	probability	NOUN
cord-010715-91fob3ax	290	7	that	that	SCONJ
cord-010715-91fob3ax	290	8	a	a	DET
cord-010715-91fob3ax	290	9	supernode	supernode	NOUN
cord-010715-91fob3ax	290	10	will	will	AUX
cord-010715-91fob3ax	290	11	have	have	AUX
cord-010715-91fob3ax	290	12	the	the	DET
cord-010715-91fob3ax	290	13	degree	degree	NOUN
cord-010715-91fob3ax	290	14	k	k	PROPN
cord-010715-91fob3ax	290	15	n	n	AUX
cord-010715-91fob3ax	290	16	is	be	AUX
cord-010715-91fob3ax	290	17	given	give	VERB
cord-010715-91fob3ax	290	18	byand	byand	PROPN
cord-010715-91fob3ax	290	19	that	that	PRON
cord-010715-91fob3ax	290	20	of	of	ADP
cord-010715-91fob3ax	290	21	the	the	DET
cord-010715-91fob3ax	290	22	excess	excess	ADJ
cord-010715-91fob3ax	290	23	degree	degree	NOUN
cord-010715-91fob3ax	290	24	aslet	aslet	PROPN
cord-010715-91fob3ax	290	25	u	u	PRON
cord-010715-91fob3ax	290	26	be	be	AUX
cord-010715-91fob3ax	290	27	the	the	DET
cord-010715-91fob3ax	290	28	probability	probability	NOUN
cord-010715-91fob3ax	290	29	that	that	SCONJ
cord-010715-91fob3ax	290	30	a	a	DET
cord-010715-91fob3ax	290	31	finite	finite	NOUN
cord-010715-91fob3ax	290	32	cluster	cluster	NOUN
cord-010715-91fob3ax	290	33	of	of	ADP
cord-010715-91fob3ax	290	34	supernodes	supernode	NOUN
cord-010715-91fob3ax	290	35	is	be	AUX
cord-010715-91fob3ax	290	36	found	find	VERB
cord-010715-91fob3ax	290	37	by	by	ADP
cord-010715-91fob3ax	290	38	following	follow	VERB
cord-010715-91fob3ax	290	39	randomly	randomly	ADV
cord-010715-91fob3ax	290	40	chosen	choose	VERB
cord-010715-91fob3ax	290	41	links	link	NOUN
cord-010715-91fob3ax	290	42	;	;	PUNCT
cord-010715-91fob3ax	290	43	this	this	DET
cord-010715-91fob3ax	290	44	satisfieshere	satisfieshere	PROPN
cord-010715-91fob3ax	290	45	,	,	PUNCT
cord-010715-91fob3ax	290	46	p	p	NOUN
cord-010715-91fob3ax	290	47	is	be	AUX
cord-010715-91fob3ax	290	48	the	the	DET
cord-010715-91fob3ax	290	49	probability	probability	NOUN
cord-010715-91fob3ax	290	50	that	that	SCONJ
cord-010715-91fob3ax	290	51	the	the	DET
cord-010715-91fob3ax	290	52	node	node	NOUN
cord-010715-91fob3ax	290	53	reached	reach	VERB
cord-010715-91fob3ax	290	54	by	by	ADP
cord-010715-91fob3ax	290	55	following	follow	VERB
cord-010715-91fob3ax	290	56	a	a	DET
cord-010715-91fob3ax	290	57	randomly	randomly	ADV
cord-010715-91fob3ax	290	58	chosen	choose	VERB
cord-010715-91fob3ax	290	59	link	link	NOUN
cord-010715-91fob3ax	290	60	is	be	AUX
cord-010715-91fob3ax	290	61	a	a	DET
cord-010715-91fob3ax	290	62	component	component	NOUN
cord-010715-91fob3ax	290	63	of	of	ADP
cord-010715-91fob3ax	290	64	a	a	DET
cord-010715-91fob3ax	290	65	supernode	supernode	NOUN
cord-010715-91fob3ax	290	66	and	and	CCONJ
cord-010715-91fob3ax	290	67	is	be	AUX
cord-010715-91fob3ax	290	68	given	give	VERB
cord-010715-91fob3ax	290	69	by	by	ADP
cord-010715-91fob3ax	290	70	eq	eq	PROPN
cord-010715-91fob3ax	290	71	.	.	PUNCT
cord-010715-91fob3ax	290	72	(	(	PUNCT
cord-010715-91fob3ax	290	73	23	23	NUM
cord-010715-91fob3ax	290	74	)	)	PUNCT
cord-010715-91fob3ax	290	75	.	.	PUNCT
cord-010715-91fob3ax	291	1	then	then	ADV
cord-010715-91fob3ax	291	2	,	,	PUNCT
cord-010715-91fob3ax	291	3	the	the	DET
cord-010715-91fob3ax	291	4	density	density	NOUN
cord-010715-91fob3ax	291	5	of	of	ADP
cord-010715-91fob3ax	291	6	the	the	DET
cord-010715-91fob3ax	291	7	largest	large	ADJ
cord-010715-91fob3ax	291	8	component	component	NOUN
cord-010715-91fob3ax	291	9	of	of	ADP
cord-010715-91fob3ax	291	10	supernodes	supernode	NOUN
cord-010715-91fob3ax	291	11	in	in	ADP
cord-010715-91fob3ax	291	12	size	size	NOUN
cord-010715-91fob3ax	291	13	,	,	PUNCT
cord-010715-91fob3ax	291	14	i.e.	i.e.	X
cord-010715-91fob3ax	291	15	,	,	PUNCT
cord-010715-91fob3ax	291	16	r	r	PROPN
cord-010715-91fob3ax	291	17	max	max	PROPN
cord-010715-91fob3ax	291	18	,	,	PUNCT
cord-010715-91fob3ax	291	19	is	be	AUX
cord-010715-91fob3ax	291	20	evaluated	evaluate	VERB
cord-010715-91fob3ax	291	21	aswhere	aswhere	ADV
cord-010715-91fob3ax	291	22	we	we	PRON
cord-010715-91fob3ax	291	23	have	have	AUX
cord-010715-91fob3ax	291	24	used	use	VERB
cord-010715-91fob3ax	291	25	k	k	PROPN
cord-010715-91fob3ax	291	26	n	n	NOUN
cord-010715-91fob3ax	291	27	=	=	PROPN
cord-010715-91fob3ax	291	28	(	(	PUNCT
cord-010715-91fob3ax	291	29	z	z	NOUN
cord-010715-91fob3ax	291	30	−	−	PROPN
cord-010715-91fob3ax	291	31	2	2	NUM
cord-010715-91fob3ax	291	32	)	)	PUNCT
cord-010715-91fob3ax	291	33	n	n	NOUN
cord-010715-91fob3ax	291	34	+	+	NOUN
cord-010715-91fob3ax	291	35	2	2	NUM
cord-010715-91fob3ax	291	36	from	from	ADP
cord-010715-91fob3ax	291	37	eq	eq	PROPN
cord-010715-91fob3ax	291	38	.	.	PUNCT
cord-010715-91fob3ax	292	1	(	(	PUNCT
cord-010715-91fob3ax	292	2	24).∞	24).∞	NUM
cord-010715-91fob3ax	292	3	0	0	NUM
cord-010715-91fob3ax	292	4	drdτ	drdτ	PROPN
cord-010715-91fob3ax	292	5	p	p	PROPN
cord-010715-91fob3ax	292	6	(	(	PUNCT
cord-010715-91fob3ax	292	7	r)p	r)p	X
cord-010715-91fob3ax	292	8	(	(	PUNCT
cord-010715-91fob3ax	292	9	τ	τ	NOUN
cord-010715-91fob3ax	292	10	)	)	PUNCT
cord-010715-91fob3ax	292	11	e	e	NOUN
cord-010715-91fob3ax	292	12	−rτ	−rτ	PROPN
cord-010715-91fob3ax	292	13	,	,	PUNCT
cord-010715-91fob3ax	292	14	where	where	SCONJ
cord-010715-91fob3ax	292	15	t	t	PROPN
cord-010715-91fob3ax	292	16	ij	ij	PROPN
cord-010715-91fob3ax	292	17	is	be	AUX
cord-010715-91fob3ax	292	18	the	the	DET
cord-010715-91fob3ax	292	19	probability	probability	NOUN
cord-010715-91fob3ax	292	20	that	that	SCONJ
cord-010715-91fob3ax	292	21	the	the	DET
cord-010715-91fob3ax	292	22	disease	disease	NOUN
cord-010715-91fob3ax	292	23	did	do	AUX
cord-010715-91fob3ax	292	24	not	not	PART
cord-010715-91fob3ax	292	25	transmit	transmit	VERB
cord-010715-91fob3ax	292	26	from	from	ADP
cord-010715-91fob3ax	292	27	node	node	PROPN
cord-010715-91fob3ax	292	28	i	i	PROPN
cord-010715-91fob3ax	292	29	to	to	ADP
cord-010715-91fob3ax	292	30	node	node	PROPN
cord-010715-91fob3ax	292	31	j	j	PROPN
cord-010715-91fob3ax	292	32	before	before	SCONJ
cord-010715-91fob3ax	292	33	node	node	PROPN
cord-010715-91fob3ax	292	34	i	i	PRON
cord-010715-91fob3ax	292	35	was	be	AUX
cord-010715-91fob3ax	292	36	removed	remove	VERB
cord-010715-91fob3ax	292	37	when	when	SCONJ
cord-010715-91fob3ax	292	38	we	we	PRON
cord-010715-91fob3ax	292	39	consider	consider	VERB
cord-010715-91fob3ax	292	40	the	the	DET
cord-010715-91fob3ax	292	41	pair	pair	NOUN
cord-010715-91fob3ax	292	42	of	of	ADP
cord-010715-91fob3ax	292	43	an	an	DET
cord-010715-91fob3ax	292	44	infected	infected	ADJ
cord-010715-91fob3ax	292	45	node	node	NOUN
cord-010715-91fob3ax	292	46	i	i	PROPN
cord-010715-91fob3ax	292	47	and	and	CCONJ
cord-010715-91fob3ax	292	48	a	a	DET
cord-010715-91fob3ax	292	49	susceptible	susceptible	ADJ
cord-010715-91fob3ax	292	50	node	node	PROPN
cord-010715-91fob3ax	292	51	j	j	PROPN
cord-010715-91fob3ax	292	52	,	,	PUNCT
cord-010715-91fob3ax	292	53	r	r	NOUN
cord-010715-91fob3ax	292	54	is	be	AUX
cord-010715-91fob3ax	292	55	the	the	DET
cord-010715-91fob3ax	292	56	infection	infection	NOUN
cord-010715-91fob3ax	292	57	rate	rate	NOUN
cord-010715-91fob3ax	292	58	between	between	ADP
cord-010715-91fob3ax	292	59	the	the	DET
cord-010715-91fob3ax	292	60	focal	focal	ADJ
cord-010715-91fob3ax	292	61	pair	pair	NOUN
cord-010715-91fob3ax	292	62	,	,	PUNCT
cord-010715-91fob3ax	292	63	τ	τ	NOUN
cord-010715-91fob3ax	292	64	is	be	AUX
cord-010715-91fob3ax	292	65	the	the	DET
cord-010715-91fob3ax	292	66	time	time	NOUN
cord-010715-91fob3ax	292	67	for	for	ADP
cord-010715-91fob3ax	292	68	which	which	PRON
cord-010715-91fob3ax	292	69	the	the	DET
cord-010715-91fob3ax	292	70	infected	infected	ADJ
cord-010715-91fob3ax	292	71	node	node	NOUN
cord-010715-91fob3ax	292	72	remains	remain	VERB
cord-010715-91fob3ax	292	73	infected	infect	VERB
cord-010715-91fob3ax	292	74	,	,	PUNCT
cord-010715-91fob3ax	292	75	and	and	CCONJ
cord-010715-91fob3ax	292	76	p	p	NOUN
cord-010715-91fob3ax	292	77	(	(	PUNCT
cord-010715-91fob3ax	292	78	r	r	NOUN
cord-010715-91fob3ax	292	79	)	)	PUNCT
cord-010715-91fob3ax	292	80	and	and	CCONJ
cord-010715-91fob3ax	292	81	p	p	NOUN
cord-010715-91fob3ax	292	82	(	(	PUNCT
cord-010715-91fob3ax	292	83	τ	τ	NOUN
cord-010715-91fob3ax	292	84	)	)	PUNCT
cord-010715-91fob3ax	292	85	are	be	AUX
cord-010715-91fob3ax	292	86	the	the	DET
cord-010715-91fob3ax	292	87	corresponding	correspond	VERB
cord-010715-91fob3ax	292	88	distributions	distribution	NOUN
cord-010715-91fob3ax	292	89	.	.	PUNCT
cord-010715-91fob3ax	293	1	in	in	ADP
cord-010715-91fob3ax	293	2	the	the	DET
cord-010715-91fob3ax	293	3	present	present	ADJ
cord-010715-91fob3ax	293	4	case	case	NOUN
cord-010715-91fob3ax	293	5	,	,	PUNCT
cord-010715-91fob3ax	293	6	we	we	PRON
cord-010715-91fob3ax	293	7	have	have	VERB
cord-010715-91fob3ax	293	8	p	p	NOUN
cord-010715-91fob3ax	293	9	(	(	PUNCT
cord-010715-91fob3ax	293	10	r	r	NOUN
cord-010715-91fob3ax	293	11	)	)	PUNCT
cord-010715-91fob3ax	293	12	=	=	SYM
cord-010715-91fob3ax	293	13	δ(r	δ(r	PROPN
cord-010715-91fob3ax	293	14	−	−	PROPN
cord-010715-91fob3ax	293	15	λ	λ	PROPN
cord-010715-91fob3ax	293	16	)	)	PUNCT
cord-010715-91fob3ax	293	17	(	(	PUNCT
cord-010715-91fob3ax	293	18	because	because	SCONJ
cord-010715-91fob3ax	293	19	the	the	DET
cord-010715-91fob3ax	293	20	infection	infection	NOUN
cord-010715-91fob3ax	293	21	rate	rate	NOUN
cord-010715-91fob3ax	293	22	is	be	AUX
cord-010715-91fob3ax	293	23	a	a	DET
cord-010715-91fob3ax	293	24	constant	constant	ADJ
cord-010715-91fob3ax	293	25	λ	λ	PROPN
cord-010715-91fob3ax	293	26	)	)	PUNCT
cord-010715-91fob3ax	293	27	,	,	PUNCT
cord-010715-91fob3ax	293	28	p	p	PROPN
cord-010715-91fob3ax	293	29	(	(	PUNCT
cord-010715-91fob3ax	293	30	τ	τ	PROPN
cord-010715-91fob3ax	293	31	)	)	PUNCT
cord-010715-91fob3ax	294	1	=	=	NOUN
cord-010715-91fob3ax	294	2	μe	μe	INTJ
cord-010715-91fob3ax	295	1	−μτ	−μτ	INTJ
cord-010715-91fob3ax	295	2	(	(	PUNCT
cord-010715-91fob3ax	295	3	as	as	ADP
cord-010715-91fob3ax	295	4	the	the	DET
cord-010715-91fob3ax	295	5	distribution	distribution	NOUN
cord-010715-91fob3ax	295	6	of	of	ADP
cord-010715-91fob3ax	295	7	the	the	DET
cord-010715-91fob3ax	295	8	interevent	interevent	ADJ
cord-010715-91fob3ax	295	9	time	time	NOUN
cord-010715-91fob3ax	295	10	of	of	ADP
cord-010715-91fob3ax	295	11	a	a	DET
cord-010715-91fob3ax	295	12	poisson	poisson	NOUN
cord-010715-91fob3ax	295	13	process	process	NOUN
cord-010715-91fob3ax	295	14	with	with	ADP
cord-010715-91fob3ax	295	15	parameter	parameter	NOUN
cord-010715-91fob3ax	295	16	μ	μ	PROPN
cord-010715-91fob3ax	295	17	)	)	PUNCT
cord-010715-91fob3ax	295	18	,	,	PUNCT
cord-010715-91fob3ax	295	19	and	and	CCONJ
cord-010715-91fob3ax	295	20	t	t	NOUN
cord-010715-91fob3ax	295	21	=	=	NOUN
cord-010715-91fob3ax	295	22	1	1	NUM
cord-010715-91fob3ax	295	23	−	−	PROPN
cord-010715-91fob3ax	295	24	∞	∞	NUM
cord-010715-91fob3ax	295	25	0	0	PUNCT
cord-010715-91fob3ax	295	26	drdτ	drdτ	NOUN
cord-010715-91fob3ax	296	1	δ(r	δ(r	PROPN
cord-010715-91fob3ax	296	2	−	−	PROPN
cord-010715-91fob3ax	297	1	λ)μe	λ)μe	PROPN
cord-010715-91fob3ax	297	2	−μτ	−μτ	X
cord-010715-91fob3ax	297	3	e	e	NOUN
cord-010715-91fob3ax	297	4	−rτ	−rτ	PROPN
cord-010715-91fob3ax	297	5	=	=	SYM
cord-010715-91fob3ax	297	6	1	1	NUM
cord-010715-91fob3ax	297	7	−	−	X
cord-010715-91fob3ax	297	8	μ	μ	NOUN
