id	sid	tid	token	lemma	pos
ejpam-6835	1	1	european	european	PROPN
ejpam-6835	1	2	journal	journal	PROPN
ejpam-6835	1	3	of	of	ADP
ejpam-6835	1	4	pure	pure	ADJ
ejpam-6835	1	5	and	and	CCONJ
ejpam-6835	1	6	applied	applied	ADJ
ejpam-6835	1	7	mathematics	mathematic	NOUN
ejpam-6835	1	8	2025	2025	NUM
ejpam-6835	1	9	,	,	PUNCT
ejpam-6835	1	10	vol	vol	NOUN
ejpam-6835	1	11	.	.	PROPN
ejpam-6835	1	12	18	18	NUM
ejpam-6835	1	13	,	,	PUNCT
ejpam-6835	1	14	issue	issue	NOUN
ejpam-6835	1	15	4	4	NUM
ejpam-6835	1	16	,	,	PUNCT
ejpam-6835	1	17	article	article	NOUN
ejpam-6835	1	18	number	number	NOUN
ejpam-6835	1	19	6835	6835	NUM
ejpam-6835	1	20	issn	issn	VERB
ejpam-6835	1	21	1307	1307	NUM
ejpam-6835	1	22	-	-	SYM
ejpam-6835	1	23	5543	5543	NUM
ejpam-6835	1	24	–	–	PUNCT
ejpam-6835	1	25	ejpam.com	ejpam.com	X
ejpam-6835	1	26	published	publish	VERB
ejpam-6835	1	27	by	by	ADP
ejpam-6835	1	28	new	new	PROPN
ejpam-6835	1	29	york	york	PROPN
ejpam-6835	1	30	business	business	PROPN
ejpam-6835	1	31	global	global	ADJ
ejpam-6835	1	32	random	random	ADJ
ejpam-6835	1	33	n	n	CCONJ
ejpam-6835	1	34	-	-	PUNCT
ejpam-6835	1	35	superhypergraphs	superhypergraph	NOUN
ejpam-6835	1	36	:	:	PUNCT
ejpam-6835	1	37	a	a	DET
ejpam-6835	1	38	probabilistic	probabilistic	ADJ
ejpam-6835	1	39	model	model	NOUN
ejpam-6835	1	40	and	and	CCONJ
ejpam-6835	1	41	generation	generation	NOUN
ejpam-6835	1	42	algorithm	algorithm	NOUN
ejpam-6835	1	43	for	for	ADP
ejpam-6835	1	44	hierarchical	hierarchical	ADJ
ejpam-6835	1	45	networks	network	NOUN
ejpam-6835	1	46	takaaki	takaaki	NOUN
ejpam-6835	1	47	fujita1,∗	fujita1,∗	PROPN
ejpam-6835	1	48	,	,	PUNCT
ejpam-6835	1	49	florentin	florentin	NOUN
ejpam-6835	1	50	smarandache2	smarandache2	PROPN
ejpam-6835	1	51	1	1	NUM
ejpam-6835	1	52	independent	independent	ADJ
ejpam-6835	1	53	researcher	researcher	NOUN
ejpam-6835	1	54	,	,	PUNCT
ejpam-6835	1	55	tokyo	tokyo	PROPN
ejpam-6835	1	56	,	,	PUNCT
ejpam-6835	1	57	japan	japan	PROPN
ejpam-6835	1	58	2	2	NUM
ejpam-6835	1	59	university	university	NOUN
ejpam-6835	1	60	of	of	ADP
ejpam-6835	1	61	new	new	PROPN
ejpam-6835	1	62	mexico	mexico	PROPN
ejpam-6835	1	63	,	,	PUNCT
ejpam-6835	1	64	gallup	gallup	PROPN
ejpam-6835	1	65	campus	campus	PROPN
ejpam-6835	1	66	,	,	PUNCT
ejpam-6835	1	67	nm	nm	PROPN
ejpam-6835	1	68	87301	87301	NUM
ejpam-6835	1	69	,	,	PUNCT
ejpam-6835	1	70	usa	usa	PROPN
ejpam-6835	1	71	abstract	abstract	PROPN
ejpam-6835	1	72	.	.	PUNCT
ejpam-6835	2	1	hypergraphs	hypergraph	NOUN
ejpam-6835	2	2	generalize	generalize	VERB
ejpam-6835	2	3	classical	classical	ADJ
ejpam-6835	2	4	graphs	graph	NOUN
ejpam-6835	2	5	by	by	ADP
ejpam-6835	2	6	allowing	allow	VERB
ejpam-6835	2	7	hyperedges	hyperedge	NOUN
ejpam-6835	2	8	to	to	PART
ejpam-6835	2	9	join	join	VERB
ejpam-6835	2	10	any	any	DET
ejpam-6835	2	11	nonempty	nonempty	NOUN
ejpam-6835	2	12	subset	subset	NOUN
ejpam-6835	2	13	of	of	ADP
ejpam-6835	2	14	vertices	vertex	NOUN
ejpam-6835	2	15	[	[	X
ejpam-6835	2	16	1	1	NUM
ejpam-6835	2	17	]	]	PUNCT
ejpam-6835	2	18	.	.	PUNCT
ejpam-6835	3	1	superhypergraphs	superhypergraphs	AUX
ejpam-6835	3	2	extend	extend	VERB
ejpam-6835	3	3	this	this	DET
ejpam-6835	3	4	idea	idea	NOUN
ejpam-6835	3	5	by	by	ADP
ejpam-6835	3	6	iterating	iterate	VERB
ejpam-6835	3	7	the	the	DET
ejpam-6835	3	8	powerset	powerset	NOUN
ejpam-6835	3	9	operation	operation	NOUN
ejpam-6835	3	10	,	,	PUNCT
ejpam-6835	3	11	producing	produce	VERB
ejpam-6835	3	12	nested	nested	ADJ
ejpam-6835	3	13	layers	layer	NOUN
ejpam-6835	3	14	that	that	PRON
ejpam-6835	3	15	capture	capture	VERB
ejpam-6835	3	16	hierarchical	hierarchical	ADJ
ejpam-6835	3	17	and	and	CCONJ
ejpam-6835	3	18	self	self	NOUN
ejpam-6835	3	19	-	-	PUNCT
ejpam-6835	3	20	referential	referential	ADJ
ejpam-6835	3	21	relationships	relationship	NOUN
ejpam-6835	3	22	among	among	ADP
ejpam-6835	3	23	vertex	vertex	NOUN
ejpam-6835	3	24	collections	collection	NOUN
ejpam-6835	3	25	[	[	X
ejpam-6835	3	26	2	2	NUM
ejpam-6835	3	27	]	]	PUNCT
ejpam-6835	3	28	.	.	PUNCT
ejpam-6835	4	1	while	while	SCONJ
ejpam-6835	4	2	random	random	ADJ
ejpam-6835	4	3	graph	graph	NOUN
ejpam-6835	4	4	and	and	CCONJ
ejpam-6835	4	5	hypergraph	hypergraph	NOUN
ejpam-6835	4	6	models	model	NOUN
ejpam-6835	4	7	form	form	VERB
ejpam-6835	4	8	edges	edge	NOUN
ejpam-6835	4	9	independently	independently	ADV
ejpam-6835	4	10	with	with	ADP
ejpam-6835	4	11	probability	probability	NOUN
ejpam-6835	4	12	p	p	NOUN
ejpam-6835	4	13	,	,	PUNCT
ejpam-6835	4	14	they	they	PRON
ejpam-6835	4	15	do	do	AUX
ejpam-6835	4	16	not	not	PART
ejpam-6835	4	17	account	account	VERB
ejpam-6835	4	18	for	for	ADP
ejpam-6835	4	19	higher	high	ADJ
ejpam-6835	4	20	-	-	PUNCT
ejpam-6835	4	21	order	order	NOUN
ejpam-6835	4	22	,	,	PUNCT
ejpam-6835	4	23	multi	multi	ADJ
ejpam-6835	4	24	-	-	NOUN
ejpam-6835	4	25	scale	scale	ADJ
ejpam-6835	4	26	,	,	PUNCT
ejpam-6835	4	27	or	or	CCONJ
ejpam-6835	4	28	nested	nest	VERB
ejpam-6835	4	29	dependencies	dependency	NOUN
ejpam-6835	4	30	often	often	ADV
ejpam-6835	4	31	observed	observe	VERB
ejpam-6835	4	32	in	in	ADP
ejpam-6835	4	33	real	real	ADJ
ejpam-6835	4	34	-	-	PUNCT
ejpam-6835	4	35	world	world	NOUN
ejpam-6835	4	36	networks	network	NOUN
ejpam-6835	4	37	.	.	PUNCT
ejpam-6835	5	1	we	we	PRON
ejpam-6835	5	2	introduce	introduce	VERB
ejpam-6835	5	3	the	the	DET
ejpam-6835	5	4	random	random	ADJ
ejpam-6835	5	5	superhypergraph	superhypergraph	NOUN
ejpam-6835	5	6	suhg(n)(v0	suhg(n)(v0	VERB
ejpam-6835	5	7	,	,	PUNCT
ejpam-6835	5	8	p	p	NOUN
ejpam-6835	5	9	)	)	PUNCT
ejpam-6835	5	10	,	,	PUNCT
ejpam-6835	5	11	defined	define	VERB
ejpam-6835	5	12	on	on	ADP
ejpam-6835	5	13	the	the	DET
ejpam-6835	5	14	n	n	ADV
ejpam-6835	5	15	-	-	ADJ
ejpam-6835	5	16	fold	fold	ADJ
ejpam-6835	5	17	powerset	powerset	NOUN
ejpam-6835	5	18	of	of	ADP
ejpam-6835	5	19	a	a	DET
ejpam-6835	5	20	base	base	NOUN
ejpam-6835	5	21	set	set	VERB
ejpam-6835	5	22	v0	v0	NOUN
ejpam-6835	5	23	.	.	PUNCT
ejpam-6835	6	1	we	we	PRON
ejpam-6835	6	2	give	give	VERB
ejpam-6835	6	3	a	a	DET
ejpam-6835	6	4	concise	concise	ADJ
ejpam-6835	6	5	mathematical	mathematical	ADJ
ejpam-6835	6	6	formulation	formulation	NOUN
ejpam-6835	6	7	,	,	PUNCT
ejpam-6835	6	8	derive	derive	VERB
ejpam-6835	6	9	key	key	ADJ
ejpam-6835	6	10	properties	property	NOUN
ejpam-6835	6	11	(	(	PUNCT
ejpam-6835	6	12	including	include	VERB
ejpam-6835	6	13	expectation	expectation	NOUN
ejpam-6835	6	14	,	,	PUNCT
ejpam-6835	6	15	variance	variance	NOUN
ejpam-6835	6	16	,	,	PUNCT
ejpam-6835	6	17	concentration	concentration	NOUN
ejpam-6835	6	18	,	,	PUNCT
ejpam-6835	6	19	and	and	CCONJ
ejpam-6835	6	20	substructure	substructure	NOUN
ejpam-6835	6	21	thresholds	threshold	NOUN
ejpam-6835	6	22	)	)	PUNCT
ejpam-6835	6	23	,	,	PUNCT
ejpam-6835	6	24	and	and	CCONJ
ejpam-6835	6	25	present	present	VERB
ejpam-6835	6	26	efficient	efficient	ADJ
ejpam-6835	6	27	algorithms	algorithm	NOUN
ejpam-6835	6	28	for	for	ADP
ejpam-6835	6	29	generation	generation	NOUN
ejpam-6835	6	30	.	.	PUNCT
ejpam-6835	7	1	this	this	DET
ejpam-6835	7	2	framework	framework	NOUN
ejpam-6835	7	3	provides	provide	VERB
ejpam-6835	7	4	a	a	DET
ejpam-6835	7	5	unified	unified	ADJ
ejpam-6835	7	6	,	,	PUNCT
ejpam-6835	7	7	probabilistic	probabilistic	ADJ
ejpam-6835	7	8	model	model	NOUN
ejpam-6835	7	9	for	for	ADP
ejpam-6835	7	10	complex	complex	ADJ
ejpam-6835	7	11	systems	system	NOUN
ejpam-6835	7	12	with	with	ADP
ejpam-6835	7	13	layered	layered	ADJ
ejpam-6835	7	14	,	,	PUNCT
ejpam-6835	7	15	uncertain	uncertain	ADJ
ejpam-6835	7	16	connectivity	connectivity	NOUN
ejpam-6835	7	17	.	.	PUNCT
ejpam-6835	8	1	2020	2020	NUM
ejpam-6835	8	2	mathematics	mathematic	NOUN
ejpam-6835	8	3	subject	subject	NOUN
ejpam-6835	8	4	classifications	classification	NOUN
ejpam-6835	8	5	:	:	PUNCT
ejpam-6835	8	6	05c65	05c65	NUM
ejpam-6835	8	7	key	key	ADJ
ejpam-6835	8	8	words	word	NOUN
ejpam-6835	8	9	and	and	CCONJ
ejpam-6835	8	10	phrases	phrase	NOUN
ejpam-6835	8	11	:	:	PUNCT
ejpam-6835	8	12	hypergraph	hypergraph	VERB
ejpam-6835	8	13	,	,	PUNCT
ejpam-6835	8	14	superhypergraph	superhypergraph	NOUN
ejpam-6835	8	15	,	,	PUNCT
ejpam-6835	8	16	random	random	ADJ
ejpam-6835	8	17	graph	graph	NOUN
ejpam-6835	8	18	,	,	PUNCT
ejpam-6835	8	19	random	random	ADJ
ejpam-6835	8	20	hypergraph	hypergraph	NOUN
ejpam-6835	8	21	,	,	PUNCT
ejpam-6835	8	22	random	random	ADJ
ejpam-6835	8	23	superhypergraph	superhypergraph	NOUN
ejpam-6835	8	24	1	1	NUM
ejpam-6835	8	25	.	.	PUNCT
ejpam-6835	8	26	introduction	introduction	NOUN
ejpam-6835	8	27	1.1	1.1	NUM
ejpam-6835	8	28	.	.	PUNCT
ejpam-6835	9	1	graph	graph	NOUN
ejpam-6835	9	2	,	,	PUNCT
ejpam-6835	9	3	hypergraph	hypergraph	VERB
ejpam-6835	9	4	,	,	PUNCT
ejpam-6835	9	5	and	and	CCONJ
ejpam-6835	9	6	superhypergraph	superhypergraph	NOUN
ejpam-6835	9	7	theory	theory	NOUN
ejpam-6835	9	8	graph	graph	NOUN
ejpam-6835	9	9	theory	theory	NOUN
ejpam-6835	9	10	formalizes	formalize	VERB
ejpam-6835	9	11	the	the	DET
ejpam-6835	9	12	study	study	NOUN
ejpam-6835	9	13	of	of	ADP
ejpam-6835	9	14	structures	structure	NOUN
ejpam-6835	9	15	consisting	consist	VERB
ejpam-6835	9	16	of	of	ADP
ejpam-6835	9	17	vertices	vertex	NOUN
ejpam-6835	9	18	connected	connect	VERB
ejpam-6835	9	19	by	by	ADP
ejpam-6835	9	20	edges	edge	NOUN
ejpam-6835	9	21	,	,	PUNCT
ejpam-6835	9	22	serving	serve	VERB
ejpam-6835	9	23	as	as	ADP
ejpam-6835	9	24	a	a	DET
ejpam-6835	9	25	fundamental	fundamental	ADJ
ejpam-6835	9	26	tool	tool	NOUN
ejpam-6835	9	27	for	for	ADP
ejpam-6835	9	28	modeling	model	VERB
ejpam-6835	9	29	pairwise	pairwise	NOUN
ejpam-6835	9	30	relationships	relationship	NOUN
ejpam-6835	9	31	or	or	CCONJ
ejpam-6835	9	32	interactions	interaction	NOUN
ejpam-6835	9	33	[	[	X
ejpam-6835	9	34	3	3	NUM
ejpam-6835	9	35	–	–	PUNCT
ejpam-6835	9	36	5	5	NUM
ejpam-6835	9	37	]	]	PUNCT
ejpam-6835	9	38	.	.	PUNCT
ejpam-6835	10	1	its	its	PRON
ejpam-6835	10	2	applications	application	NOUN
ejpam-6835	10	3	span	span	VERB
ejpam-6835	10	4	data	datum	NOUN
ejpam-6835	10	5	mining	mining	NOUN
ejpam-6835	10	6	,	,	PUNCT
ejpam-6835	10	7	algorithm	algorithm	NOUN
ejpam-6835	10	8	design	design	NOUN
ejpam-6835	10	9	,	,	PUNCT
ejpam-6835	10	10	artificial	artificial	ADJ
ejpam-6835	10	11	intelligence	intelligence	NOUN
ejpam-6835	10	12	,	,	PUNCT
ejpam-6835	10	13	neural	neural	ADJ
ejpam-6835	10	14	networks	network	NOUN
ejpam-6835	10	15	,	,	PUNCT
ejpam-6835	10	16	quantum	quantum	ADJ
ejpam-6835	10	17	information	information	NOUN
ejpam-6835	10	18	,	,	PUNCT
ejpam-6835	10	19	and	and	CCONJ
ejpam-6835	10	20	chemistry	chemistry	NOUN
ejpam-6835	10	21	(	(	PUNCT
ejpam-6835	10	22	e.g.	e.g.	ADV
ejpam-6835	10	23	,	,	PUNCT
ejpam-6835	10	24	[	[	X
ejpam-6835	10	25	6–10	6–10	NOUN
ejpam-6835	10	26	]	]	PUNCT
ejpam-6835	10	27	)	)	PUNCT
ejpam-6835	10	28	.	.	PUNCT
ejpam-6835	11	1	however	however	ADV
ejpam-6835	11	2	,	,	PUNCT
ejpam-6835	11	3	classical	classical	ADJ
ejpam-6835	11	4	graphs	graph	NOUN
ejpam-6835	11	5	often	often	ADV
ejpam-6835	11	6	have	have	VERB
ejpam-6835	11	7	limitations	limitation	NOUN
ejpam-6835	11	8	in	in	ADP
ejpam-6835	11	9	representing	represent	VERB
ejpam-6835	11	10	hierarchical	hierarchical	ADJ
ejpam-6835	11	11	network	network	NOUN
ejpam-6835	11	12	concepts	concept	NOUN
ejpam-6835	11	13	and	and	CCONJ
ejpam-6835	11	14	multiway	multiway	NOUN
ejpam-6835	11	15	interactions	interaction	NOUN
ejpam-6835	11	16	.	.	PUNCT
ejpam-6835	12	1	to	to	PART
ejpam-6835	12	2	address	address	VERB
ejpam-6835	12	3	these	these	DET
ejpam-6835	12	4	challenges	challenge	NOUN
ejpam-6835	12	5	,	,	PUNCT
ejpam-6835	12	6	the	the	DET
ejpam-6835	12	7	concepts	concept	NOUN
ejpam-6835	12	8	of	of	ADP
ejpam-6835	12	9	hypergraph	hypergraph	NOUN
ejpam-6835	12	10	and	and	CCONJ
ejpam-6835	12	11	superhypergraph	superhypergraph	NOUN
ejpam-6835	12	12	have	have	AUX
ejpam-6835	12	13	been	be	AUX
ejpam-6835	12	14	actively	actively	ADV
ejpam-6835	12	15	studied	study	VERB
ejpam-6835	12	16	in	in	ADP
ejpam-6835	12	17	recent	recent	ADJ
ejpam-6835	12	18	years	year	NOUN
ejpam-6835	12	19	.	.	PUNCT
ejpam-6835	13	1	∗corresponding	∗corresponde	VERB
ejpam-6835	13	2	author	author	NOUN
ejpam-6835	13	3	.	.	PUNCT
ejpam-6835	14	1	doi	doi	NOUN
ejpam-6835	14	2	:	:	PUNCT
ejpam-6835	14	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6835	https://doi.org/10.29020/nybg.ejpam.v18i4.6835	VERB
ejpam-6835	14	4	email	email	NOUN
ejpam-6835	14	5	addresses	address	NOUN
ejpam-6835	14	6	:	:	PUNCT
ejpam-6835	14	7	takaaki.fujita060@gmail.com	takaaki.fujita060@gmail.com	X
ejpam-6835	14	8	(	(	PUNCT
ejpam-6835	14	9	t.	t.	PROPN
ejpam-6835	14	10	fujita	fujita	PROPN
ejpam-6835	14	11	)	)	PUNCT
ejpam-6835	14	12	,	,	PUNCT
ejpam-6835	14	13	smarand@unm.edu	smarand@unm.edu	PROPN
ejpam-6835	14	14	(	(	PUNCT
ejpam-6835	14	15	f.	f.	PROPN
ejpam-6835	14	16	smarandache	smarandache	PROPN
ejpam-6835	14	17	)	)	PUNCT
ejpam-6835	14	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6835	15	1	1	1	NUM
ejpam-6835	15	2	copyright	copyright	NOUN
ejpam-6835	15	3	:	:	PUNCT
ejpam-6835	15	4	©	©	PROPN
ejpam-6835	15	5	2025	2025	NUM
ejpam-6835	15	6	the	the	DET
ejpam-6835	15	7	author(s	author(s	NOUN
ejpam-6835	15	8	)	)	PUNCT
ejpam-6835	15	9	.	.	PUNCT
ejpam-6835	16	1	(	(	PUNCT
ejpam-6835	16	2	cc	cc	NOUN
ejpam-6835	16	3	by	by	ADP
ejpam-6835	16	4	-	-	PUNCT
ejpam-6835	16	5	nc	nc	PROPN
ejpam-6835	16	6	4.0	4.0	NUM
ejpam-6835	16	7	)	)	PUNCT
ejpam-6835	16	8	t.	t.	PROPN
ejpam-6835	16	9	fujita	fujita	PROPN
ejpam-6835	16	10	,	,	PUNCT
ejpam-6835	16	11	f.	f.	PROPN
ejpam-6835	16	12	smarandache	smarandache	PROPN
ejpam-6835	16	13	/	/	SYM
ejpam-6835	16	14	eur	eur	PROPN
ejpam-6835	16	15	.	.	PUNCT
ejpam-6835	17	1	j.	j.	PROPN
ejpam-6835	17	2	pure	pure	PROPN
ejpam-6835	17	3	appl	appl	PROPN
ejpam-6835	17	4	.	.	PROPN
ejpam-6835	17	5	math	math	PROPN
ejpam-6835	17	6	,	,	PUNCT
ejpam-6835	17	7	18	18	NUM
ejpam-6835	17	8	(	(	PUNCT
ejpam-6835	17	9	4	4	NUM
ejpam-6835	17	10	)	)	PUNCT
ejpam-6835	17	11	(	(	PUNCT
ejpam-6835	17	12	2025	2025	NUM
ejpam-6835	17	13	)	)	PUNCT
ejpam-6835	17	14	,	,	PUNCT
ejpam-6835	17	15	6835	6835	NUM
ejpam-6835	17	16	2	2	NUM
ejpam-6835	17	17	of	of	ADP
ejpam-6835	17	18	29	29	NUM
ejpam-6835	17	19	a	a	DET
ejpam-6835	17	20	hypergraph	hypergraph	NOUN
ejpam-6835	17	21	extends	extend	VERB
ejpam-6835	17	22	this	this	DET
ejpam-6835	17	23	framework	framework	NOUN
ejpam-6835	17	24	by	by	ADP
ejpam-6835	17	25	allowing	allow	VERB
ejpam-6835	17	26	edges	edge	NOUN
ejpam-6835	17	27	(	(	PUNCT
ejpam-6835	17	28	hyperedges	hyperedge	NOUN
ejpam-6835	17	29	)	)	PUNCT
ejpam-6835	17	30	to	to	PART
ejpam-6835	17	31	join	join	VERB
ejpam-6835	17	32	any	any	DET
ejpam-6835	17	33	nonempty	nonempty	NOUN
ejpam-6835	17	34	subset	subset	NOUN
ejpam-6835	17	35	of	of	ADP
ejpam-6835	17	36	vertices	vertex	NOUN
ejpam-6835	17	37	,	,	PUNCT
ejpam-6835	17	38	thereby	thereby	ADV
ejpam-6835	17	39	capturing	capture	VERB
ejpam-6835	17	40	higher	high	ADJ
ejpam-6835	17	41	-	-	PUNCT
ejpam-6835	17	42	order	order	NOUN
ejpam-6835	17	43	associations	association	NOUN
ejpam-6835	17	44	[	[	X
ejpam-6835	17	45	11–15	11–15	NUM
ejpam-6835	17	46	]	]	PUNCT
ejpam-6835	17	47	.	.	PUNCT
ejpam-6835	18	1	hypergraphs	hypergraph	NOUN
ejpam-6835	18	2	are	be	AUX
ejpam-6835	18	3	known	know	VERB
ejpam-6835	18	4	as	as	ADP
ejpam-6835	18	5	a	a	DET
ejpam-6835	18	6	natural	natural	ADJ
ejpam-6835	18	7	generalization	generalization	NOUN
ejpam-6835	18	8	of	of	ADP
ejpam-6835	18	9	graphs	graph	NOUN
ejpam-6835	18	10	and	and	CCONJ
ejpam-6835	18	11	,	,	PUNCT
ejpam-6835	18	12	like	like	ADP
ejpam-6835	18	13	graphs	graph	NOUN
ejpam-6835	18	14	,	,	PUNCT
ejpam-6835	18	15	have	have	AUX
ejpam-6835	18	16	been	be	AUX
ejpam-6835	18	17	studied	study	VERB
ejpam-6835	18	18	in	in	ADP
ejpam-6835	18	19	a	a	DET
ejpam-6835	18	20	wide	wide	ADJ
ejpam-6835	18	21	range	range	NOUN
ejpam-6835	18	22	of	of	ADP
ejpam-6835	18	23	applications	application	NOUN
ejpam-6835	18	24	[	[	X
ejpam-6835	18	25	16–21	16–21	NUM
ejpam-6835	18	26	]	]	PUNCT
ejpam-6835	18	27	.	.	PUNCT
ejpam-6835	19	1	building	build	VERB
ejpam-6835	19	2	on	on	ADP
ejpam-6835	19	3	this	this	PRON
ejpam-6835	19	4	,	,	PUNCT
ejpam-6835	19	5	a	a	DET
ejpam-6835	19	6	superhypergraph	superhypergraph	NOUN
ejpam-6835	19	7	applies	apply	VERB
ejpam-6835	19	8	recursive	recursive	ADJ
ejpam-6835	19	9	powerset	powerset	NOUN
ejpam-6835	19	10	operations	operation	NOUN
ejpam-6835	19	11	to	to	PART
ejpam-6835	19	12	form	form	VERB
ejpam-6835	19	13	nested	nested	ADJ
ejpam-6835	19	14	layers	layer	NOUN
ejpam-6835	19	15	of	of	ADP
ejpam-6835	19	16	vertices	vertex	NOUN
ejpam-6835	19	17	and	and	CCONJ
ejpam-6835	19	18	edges	edge	NOUN
ejpam-6835	19	19	,	,	PUNCT
ejpam-6835	19	20	enabling	enable	VERB
ejpam-6835	19	21	the	the	DET
ejpam-6835	19	22	representation	representation	NOUN
ejpam-6835	19	23	of	of	ADP
ejpam-6835	19	24	hierarchical	hierarchical	ADJ
ejpam-6835	19	25	or	or	CCONJ
ejpam-6835	19	26	multi	multi	ADJ
ejpam-6835	19	27	-	-	ADJ
ejpam-6835	19	28	level	level	ADJ
ejpam-6835	19	29	connectivity	connectivity	NOUN
ejpam-6835	19	30	[	[	X
ejpam-6835	19	31	2	2	NUM
ejpam-6835	19	32	,	,	PUNCT
ejpam-6835	19	33	22–25	22–25	NUM
ejpam-6835	19	34	]	]	PUNCT
ejpam-6835	19	35	.	.	PUNCT
ejpam-6835	20	1	superhypergraphs	superhypergraphs	AUX
ejpam-6835	20	2	generalize	generalize	VERB
ejpam-6835	20	3	hypergraphs	hypergraph	NOUN
ejpam-6835	20	4	.	.	PUNCT
ejpam-6835	21	1	such	such	ADJ
ejpam-6835	21	2	structures	structure	NOUN
ejpam-6835	21	3	have	have	AUX
ejpam-6835	21	4	proven	prove	VERB
ejpam-6835	21	5	valuable	valuable	ADJ
ejpam-6835	21	6	for	for	ADP
ejpam-6835	21	7	modeling	model	VERB
ejpam-6835	21	8	complex	complex	ADJ
ejpam-6835	21	9	,	,	PUNCT
ejpam-6835	21	10	layered	layered	ADJ
ejpam-6835	21	11	systems	system	NOUN
ejpam-6835	21	12	in	in	ADP
ejpam-6835	21	13	numerous	numerous	ADJ
ejpam-6835	21	14	domains	domain	NOUN
ejpam-6835	21	15	[	[	X
ejpam-6835	21	16	26	26	NUM
ejpam-6835	21	17	,	,	PUNCT
ejpam-6835	21	18	27	27	NUM
ejpam-6835	21	19	]	]	PUNCT
ejpam-6835	21	20	.	.	PUNCT
ejpam-6835	22	1	table	table	NOUN
ejpam-6835	22	2	1	1	NUM
ejpam-6835	22	3	highlights	highlight	NOUN
ejpam-6835	22	4	the	the	DET
ejpam-6835	22	5	principal	principal	ADJ
ejpam-6835	22	6	differences	difference	NOUN
ejpam-6835	22	7	between	between	ADP
ejpam-6835	22	8	graphs	graph	NOUN
ejpam-6835	22	9	,	,	PUNCT
ejpam-6835	22	10	hypergraphs	hypergraph	NOUN
ejpam-6835	22	11	,	,	PUNCT
ejpam-6835	22	12	and	and	CCONJ
ejpam-6835	22	13	superhypergraphs	superhypergraph	NOUN
ejpam-6835	22	14	.	.	PUNCT
ejpam-6835	23	1	here	here	ADV
ejpam-6835	23	2	,	,	PUNCT
ejpam-6835	23	3	n	n	PRON
ejpam-6835	23	4	is	be	AUX
ejpam-6835	23	5	assumed	assume	VERB
ejpam-6835	23	6	to	to	PART
ejpam-6835	23	7	be	be	AUX
ejpam-6835	23	8	a	a	DET
ejpam-6835	23	9	finite	finite	ADJ
ejpam-6835	23	10	positive	positive	ADJ
ejpam-6835	23	11	integer	integer	NOUN
ejpam-6835	23	12	.	.	PUNCT
ejpam-6835	24	1	moreover	moreover	ADV
ejpam-6835	24	2	,	,	PUNCT
ejpam-6835	24	3	numerous	numerous	ADJ
ejpam-6835	24	4	graph	graph	NOUN
ejpam-6835	24	5	algorithms	algorithm	NOUN
ejpam-6835	24	6	for	for	ADP
ejpam-6835	24	7	graphs	graph	NOUN
ejpam-6835	24	8	,	,	PUNCT
ejpam-6835	24	9	hypergraphs	hypergraph	NOUN
ejpam-6835	24	10	,	,	PUNCT
ejpam-6835	24	11	and	and	CCONJ
ejpam-6835	24	12	superhypergraphs	superhypergraph	NOUN
ejpam-6835	24	13	have	have	AUX
ejpam-6835	24	14	also	also	ADV
ejpam-6835	24	15	been	be	AUX
ejpam-6835	24	16	extensively	extensively	ADV
ejpam-6835	24	17	studied	study	VERB
ejpam-6835	24	18	(	(	PUNCT
ejpam-6835	24	19	e.g.	e.g.	ADV
ejpam-6835	24	20	,	,	PUNCT
ejpam-6835	24	21	[	[	X
ejpam-6835	24	22	28–31	28–31	NUM
ejpam-6835	24	23	]	]	NUM
ejpam-6835	24	24	)	)	PUNCT
ejpam-6835	24	25	.	.	PUNCT
ejpam-6835	25	1	concept	concept	NOUN
ejpam-6835	25	2	notation	notation	NOUN
ejpam-6835	25	3	edge	edge	NOUN
ejpam-6835	25	4	type	type	NOUN
ejpam-6835	25	5	extension	extension	NOUN
ejpam-6835	25	6	mechanism	mechanism	NOUN
ejpam-6835	25	7	graph	graph	NOUN
ejpam-6835	25	8	g	g	PROPN
ejpam-6835	25	9	=	=	SYM
ejpam-6835	25	10	(	(	PUNCT
ejpam-6835	25	11	v	v	NOUN
ejpam-6835	25	12	,	,	PUNCT
ejpam-6835	25	13	e	e	NOUN
ejpam-6835	25	14	)	)	PUNCT
ejpam-6835	25	15	e	e	NOUN
ejpam-6835	25	16	⊆	⊆	NUM
ejpam-6835	25	17	{	{	PUNCT
ejpam-6835	25	18	{	{	PUNCT
ejpam-6835	25	19	u	u	NOUN
ejpam-6835	25	20	,	,	PUNCT
ejpam-6835	25	21	v	v	NOUN
ejpam-6835	25	22	}	}	PUNCT
ejpam-6835	25	23	|	|	ADV
ejpam-6835	25	24	u	u	NOUN
ejpam-6835	25	25	,	,	PUNCT
ejpam-6835	25	26	v	v	PROPN
ejpam-6835	25	27	∈	∈	PROPN
ejpam-6835	25	28	v	v	NOUN
ejpam-6835	25	29	,	,	PUNCT
ejpam-6835	25	30	u	u	PROPN
ejpam-6835	25	31	̸=	̸=	PROPN
ejpam-6835	25	32	v	v	NOUN
ejpam-6835	25	33	}	}	PUNCT
ejpam-6835	25	34	connects	connect	VERB
ejpam-6835	25	35	exactly	exactly	ADV
ejpam-6835	25	36	two	two	NUM
ejpam-6835	25	37	vertices	vertex	NOUN
ejpam-6835	25	38	.	.	PUNCT
ejpam-6835	26	1	hypergraph	hypergraph	NOUN
ejpam-6835	26	2	h	h	NOUN
ejpam-6835	26	3	=	=	SYM
ejpam-6835	26	4	(	(	PUNCT
ejpam-6835	26	5	v	v	NOUN
ejpam-6835	26	6	,	,	PUNCT
ejpam-6835	26	7	e	e	NOUN
ejpam-6835	26	8	)	)	PUNCT
ejpam-6835	27	1	e	e	NOUN
ejpam-6835	27	2	⊆	⊆	NUM
ejpam-6835	27	3	ps(v	ps(v	NOUN
ejpam-6835	27	4	)	)	PUNCT
ejpam-6835	27	5	\	\	NOUN
ejpam-6835	27	6	{	{	PUNCT
ejpam-6835	27	7	∅	∅	NOUN
ejpam-6835	27	8	}	}	PUNCT
ejpam-6835	27	9	joins	join	VERB
ejpam-6835	27	10	any	any	DET
ejpam-6835	27	11	nonempty	nonempty	NOUN
ejpam-6835	27	12	subset	subset	NOUN
ejpam-6835	27	13	of	of	ADP
ejpam-6835	27	14	vertices	vertex	NOUN
ejpam-6835	27	15	.	.	PUNCT
ejpam-6835	28	1	superhypergraph	superhypergraph	VERB
ejpam-6835	28	2	suhg(n	suhg(n	NOUN
ejpam-6835	28	3	)	)	PUNCT
ejpam-6835	28	4	=	=	SYM
ejpam-6835	28	5	(	(	PUNCT
ejpam-6835	28	6	v0	v0	PROPN
ejpam-6835	28	7	,	,	PUNCT
ejpam-6835	28	8	v	v	NOUN
ejpam-6835	28	9	,	,	PUNCT
ejpam-6835	28	10	e	e	NOUN
ejpam-6835	28	11	)	)	PUNCT
ejpam-6835	28	12	v	v	ADP
ejpam-6835	28	13	⊆	⊆	NUM
ejpam-6835	28	14	psn(v	psn(v	PROPN
ejpam-6835	28	15	)	)	PUNCT
ejpam-6835	28	16	,	,	PUNCT
ejpam-6835	28	17	e	e	PROPN
ejpam-6835	28	18	⊆	⊆	NUM
ejpam-6835	28	19	psn(v	psn(v	PROPN
ejpam-6835	28	20	)	)	PUNCT
ejpam-6835	28	21	applies	apply	VERB
ejpam-6835	28	22	an	an	DET
ejpam-6835	28	23	n	n	ADV
ejpam-6835	28	24	-	-	ADJ
ejpam-6835	28	25	fold	fold	ADJ
ejpam-6835	28	26	powerset	powerset	NOUN
ejpam-6835	28	27	for	for	ADP
ejpam-6835	28	28	nested	nested	ADJ
ejpam-6835	28	29	structure	structure	NOUN
ejpam-6835	28	30	.	.	PUNCT
ejpam-6835	29	1	table	table	NOUN
ejpam-6835	29	2	1	1	NUM
ejpam-6835	29	3	:	:	PUNCT
ejpam-6835	29	4	comparison	comparison	NOUN
ejpam-6835	29	5	of	of	ADP
ejpam-6835	29	6	graph	graph	NOUN
ejpam-6835	29	7	,	,	PUNCT
ejpam-6835	29	8	hypergraph	hypergraph	VERB
ejpam-6835	29	9	,	,	PUNCT
ejpam-6835	29	10	and	and	CCONJ
ejpam-6835	29	11	superhypergraph	superhypergraph	NOUN
ejpam-6835	29	12	(	(	PUNCT
ejpam-6835	29	13	ps(v	ps(v	NOUN
ejpam-6835	29	14	)	)	PUNCT
ejpam-6835	29	15	denotes	denote	VERB
ejpam-6835	29	16	the	the	DET
ejpam-6835	29	17	powerset	powerset	NOUN
ejpam-6835	29	18	of	of	ADP
ejpam-6835	29	19	v	v	NOUN
ejpam-6835	29	20	,	,	PUNCT
ejpam-6835	29	21	i.e.	i.e.	X
ejpam-6835	29	22	the	the	DET
ejpam-6835	29	23	set	set	NOUN
ejpam-6835	29	24	of	of	ADP
ejpam-6835	29	25	all	all	DET
ejpam-6835	29	26	subsets	subset	NOUN
ejpam-6835	29	27	of	of	ADP
ejpam-6835	29	28	v	v	NOUN
ejpam-6835	29	29	.	.	PUNCT
ejpam-6835	30	1	psn(v	psn(v	PROPN
ejpam-6835	30	2	)	)	PUNCT
ejpam-6835	30	3	is	be	AUX
ejpam-6835	30	4	the	the	DET
ejpam-6835	30	5	n	n	ADV
ejpam-6835	30	6	-	-	ADJ
ejpam-6835	30	7	fold	fold	ADJ
ejpam-6835	30	8	iterated	iterated	ADJ
ejpam-6835	30	9	powerset	powerset	NOUN
ejpam-6835	30	10	,	,	PUNCT
ejpam-6835	30	11	defined	define	VERB
ejpam-6835	30	12	by	by	ADP
ejpam-6835	30	13	ps1(v	ps1(v	PROPN
ejpam-6835	30	14	)	)	PUNCT
ejpam-6835	31	1	=	=	NOUN
ejpam-6835	31	2	ps(v	ps(v	NOUN
ejpam-6835	31	3	)	)	PUNCT
ejpam-6835	31	4	and	and	CCONJ
ejpam-6835	31	5	psk+1(v	psk+1(v	NOUN
ejpam-6835	31	6	)	)	PUNCT
ejpam-6835	32	1	=	=	X
ejpam-6835	32	2	ps(psk(v	ps(psk(v	PROPN
ejpam-6835	32	3	)	)	PUNCT
ejpam-6835	32	4	)	)	PUNCT
ejpam-6835	33	1	for	for	ADP
ejpam-6835	33	2	k	k	PROPN
ejpam-6835	33	3	≥	≥	PROPN
ejpam-6835	33	4	1	1	NUM
ejpam-6835	33	5	.	.	PUNCT
ejpam-6835	33	6	)	)	PUNCT
ejpam-6835	34	1	1.2	1.2	NUM
ejpam-6835	34	2	.	.	PUNCT
ejpam-6835	34	3	random	random	ADJ
ejpam-6835	34	4	graph	graph	NOUN
ejpam-6835	34	5	theory	theory	NOUN
ejpam-6835	34	6	graphs	graph	NOUN
ejpam-6835	34	7	are	be	AUX
ejpam-6835	34	8	also	also	ADV
ejpam-6835	34	9	extensively	extensively	ADV
ejpam-6835	34	10	used	use	VERB
ejpam-6835	34	11	from	from	ADP
ejpam-6835	34	12	a	a	DET
ejpam-6835	34	13	probabilistic	probabilistic	ADJ
ejpam-6835	34	14	perspective	perspective	NOUN
ejpam-6835	34	15	(	(	PUNCT
ejpam-6835	34	16	cf.[32–34	cf.[32–34	PROPN
ejpam-6835	34	17	]	]	PUNCT
ejpam-6835	34	18	)	)	PUNCT
ejpam-6835	34	19	.	.	PUNCT
ejpam-6835	35	1	a	a	DET
ejpam-6835	35	2	random	random	ADJ
ejpam-6835	35	3	graph	graph	NOUN
ejpam-6835	35	4	is	be	AUX
ejpam-6835	35	5	a	a	DET
ejpam-6835	35	6	graph	graph	NOUN
ejpam-6835	35	7	in	in	ADP
ejpam-6835	35	8	which	which	PRON
ejpam-6835	35	9	each	each	DET
ejpam-6835	35	10	possible	possible	ADJ
ejpam-6835	35	11	edge	edge	NOUN
ejpam-6835	35	12	between	between	ADP
ejpam-6835	35	13	n	n	ADP
ejpam-6835	35	14	nodes	node	NOUN
ejpam-6835	35	15	appears	appear	VERB
ejpam-6835	35	16	independently	independently	ADV
ejpam-6835	35	17	with	with	ADP
ejpam-6835	35	18	a	a	DET
ejpam-6835	35	19	fixed	fixed	ADJ
ejpam-6835	35	20	probability[35–38	probability[35–38	NOUN
ejpam-6835	35	21	]	]	PUNCT
ejpam-6835	35	22	.	.	PUNCT
ejpam-6835	36	1	a	a	DET
ejpam-6835	36	2	random	random	ADJ
ejpam-6835	36	3	hypergraph	hypergraph	NOUN
ejpam-6835	36	4	generalizes	generalize	VERB
ejpam-6835	36	5	this	this	PRON
ejpam-6835	36	6	by	by	ADP
ejpam-6835	36	7	including	include	VERB
ejpam-6835	36	8	each	each	DET
ejpam-6835	36	9	possible	possible	ADJ
ejpam-6835	36	10	k	k	ADJ
ejpam-6835	36	11	-	-	ADJ
ejpam-6835	36	12	element	element	ADJ
ejpam-6835	36	13	subset	subset	NOUN
ejpam-6835	36	14	of	of	ADP
ejpam-6835	36	15	nodes	node	NOUN
ejpam-6835	36	16	as	as	ADP
ejpam-6835	36	17	a	a	DET
ejpam-6835	36	18	hyperedge	hyperedge	NOUN
ejpam-6835	36	19	independently	independently	ADV
ejpam-6835	36	20	with	with	ADP
ejpam-6835	36	21	probability	probability	NOUN
ejpam-6835	36	22	p[39	p[39	NOUN
ejpam-6835	36	23	–	–	PUNCT
ejpam-6835	36	24	43	43	NUM
ejpam-6835	36	25	]	]	PUNCT
ejpam-6835	36	26	.	.	PUNCT
ejpam-6835	37	1	studying	study	VERB
ejpam-6835	37	2	random	random	ADJ
ejpam-6835	37	3	graph	graph	NOUN
ejpam-6835	37	4	theory	theory	NOUN
ejpam-6835	37	5	provides	provide	VERB
ejpam-6835	37	6	insights	insight	NOUN
ejpam-6835	37	7	into	into	ADP
ejpam-6835	37	8	the	the	DET
ejpam-6835	37	9	emergence	emergence	NOUN
ejpam-6835	37	10	of	of	ADP
ejpam-6835	37	11	global	global	ADJ
ejpam-6835	37	12	network	network	NOUN
ejpam-6835	37	13	properties	property	NOUN
ejpam-6835	37	14	from	from	ADP
ejpam-6835	37	15	local	local	ADJ
ejpam-6835	37	16	randomness	randomness	NOUN
ejpam-6835	37	17	,	,	PUNCT
ejpam-6835	37	18	informs	inform	VERB
ejpam-6835	37	19	phase	phase	NOUN
ejpam-6835	37	20	transitions	transition	NOUN
ejpam-6835	37	21	,	,	PUNCT
ejpam-6835	37	22	percolation	percolation	NOUN
ejpam-6835	37	23	phenomena	phenomenon	NOUN
ejpam-6835	37	24	,	,	PUNCT
ejpam-6835	37	25	and	and	CCONJ
ejpam-6835	37	26	has	have	VERB
ejpam-6835	37	27	applications	application	NOUN
ejpam-6835	37	28	in	in	ADP
ejpam-6835	37	29	network	network	NOUN
ejpam-6835	37	30	science	science	NOUN
ejpam-6835	37	31	,	,	PUNCT
ejpam-6835	37	32	epidemiology	epidemiology	NOUN
ejpam-6835	37	33	,	,	PUNCT
ejpam-6835	37	34	and	and	CCONJ
ejpam-6835	37	35	algorithmic	algorithmic	ADJ
ejpam-6835	37	36	analysis	analysis	NOUN
ejpam-6835	37	37	,	,	PUNCT
ejpam-6835	37	38	bridging	bridge	VERB
ejpam-6835	37	39	probability	probability	NOUN
ejpam-6835	37	40	theory	theory	NOUN
ejpam-6835	37	41	and	and	CCONJ
ejpam-6835	37	42	combinatorics	combinatoric	NOUN
ejpam-6835	37	43	to	to	AUX
ejpam-6835	37	44	model	model	VERB
ejpam-6835	37	45	complex	complex	ADJ
ejpam-6835	37	46	systems(cf.[44	systems(cf.[44	NOUN
ejpam-6835	37	47	]	]	PUNCT
ejpam-6835	37	48	)	)	PUNCT
ejpam-6835	37	49	.	.	PUNCT
ejpam-6835	38	1	algorithmic	algorithmic	ADJ
ejpam-6835	38	2	research	research	NOUN
ejpam-6835	38	3	on	on	ADP
ejpam-6835	38	4	random	random	ADJ
ejpam-6835	38	5	graphs	graph	NOUN
ejpam-6835	38	6	has	have	AUX
ejpam-6835	38	7	also	also	ADV
ejpam-6835	38	8	been	be	AUX
ejpam-6835	38	9	conducted[45	conducted[45	NOUN
ejpam-6835	38	10	]	]	PUNCT
ejpam-6835	38	11	.	.	PUNCT
ejpam-6835	39	1	but	but	CCONJ
ejpam-6835	39	2	random	random	ADJ
ejpam-6835	39	3	graph	graph	NOUN
ejpam-6835	39	4	models	model	NOUN
ejpam-6835	39	5	assume	assume	VERB
ejpam-6835	39	6	independent	independent	ADJ
ejpam-6835	39	7	edge	edge	NOUN
ejpam-6835	39	8	formation	formation	NOUN
ejpam-6835	39	9	,	,	PUNCT
ejpam-6835	39	10	ignore	ignore	VERB
ejpam-6835	39	11	higher	high	ADJ
ejpam-6835	39	12	-	-	PUNCT
ejpam-6835	39	13	order	order	NOUN
ejpam-6835	39	14	correlations	correlation	NOUN
ejpam-6835	39	15	,	,	PUNCT
ejpam-6835	39	16	lack	lack	VERB
ejpam-6835	39	17	hierarchical	hierarchical	ADJ
ejpam-6835	39	18	structure	structure	NOUN
ejpam-6835	39	19	,	,	PUNCT
ejpam-6835	39	20	and	and	CCONJ
ejpam-6835	39	21	can	can	AUX
ejpam-6835	39	22	not	not	PART
ejpam-6835	39	23	capture	capture	VERB
ejpam-6835	39	24	multi	multi	ADJ
ejpam-6835	39	25	-	-	ADJ
ejpam-6835	39	26	scale	scale	ADJ
ejpam-6835	39	27	interactions	interaction	NOUN
ejpam-6835	39	28	or	or	CCONJ
ejpam-6835	39	29	nested	nested	ADJ
ejpam-6835	39	30	dependencies	dependency	NOUN
ejpam-6835	39	31	present	present	ADJ
ejpam-6835	39	32	in	in	ADP
ejpam-6835	39	33	real	real	ADJ
ejpam-6835	39	34	-	-	PUNCT
ejpam-6835	39	35	world	world	NOUN
ejpam-6835	39	36	networks	network	NOUN
ejpam-6835	39	37	.	.	PUNCT
ejpam-6835	40	1	motivation	motivation	NOUN
ejpam-6835	40	2	and	and	CCONJ
ejpam-6835	40	3	our	our	PRON
ejpam-6835	40	4	contributions	contribution	NOUN
ejpam-6835	40	5	from	from	ADP
ejpam-6835	40	6	the	the	DET
ejpam-6835	40	7	above	above	NOUN
ejpam-6835	40	8	,	,	PUNCT
ejpam-6835	40	9	research	research	NOUN
ejpam-6835	40	10	on	on	ADP
ejpam-6835	40	11	random	random	ADJ
ejpam-6835	40	12	graphs	graph	NOUN
ejpam-6835	40	13	,	,	PUNCT
ejpam-6835	40	14	superhypergraphs	superhypergraph	NOUN
ejpam-6835	40	15	,	,	PUNCT
ejpam-6835	40	16	and	and	CCONJ
ejpam-6835	40	17	hypergraphs	hypergraph	NOUN
ejpam-6835	40	18	is	be	AUX
ejpam-6835	40	19	of	of	ADP
ejpam-6835	40	20	great	great	ADJ
ejpam-6835	40	21	importance	importance	NOUN
ejpam-6835	40	22	.	.	PUNCT
ejpam-6835	41	1	however	however	ADV
ejpam-6835	41	2	,	,	PUNCT
ejpam-6835	41	3	research	research	NOUN
ejpam-6835	41	4	on	on	ADP
ejpam-6835	41	5	supert	supert	PROPN
ejpam-6835	41	6	.	.	PUNCT
ejpam-6835	42	1	fujita	fujita	PROPN
ejpam-6835	42	2	,	,	PUNCT
ejpam-6835	42	3	f.	f.	PROPN
ejpam-6835	42	4	smarandache	smarandache	PROPN
ejpam-6835	42	5	/	/	SYM
ejpam-6835	42	6	eur	eur	PROPN
ejpam-6835	42	7	.	.	PUNCT
ejpam-6835	43	1	j.	j.	PROPN
ejpam-6835	43	2	pure	pure	PROPN
ejpam-6835	43	3	appl	appl	PROPN
ejpam-6835	43	4	.	.	PROPN
ejpam-6835	43	5	math	math	PROPN
ejpam-6835	43	6	,	,	PUNCT
ejpam-6835	43	7	18	18	NUM
ejpam-6835	43	8	(	(	PUNCT
ejpam-6835	43	9	4	4	NUM
ejpam-6835	43	10	)	)	PUNCT
ejpam-6835	43	11	(	(	PUNCT
ejpam-6835	43	12	2025	2025	NUM
ejpam-6835	43	13	)	)	PUNCT
ejpam-6835	43	14	,	,	PUNCT
ejpam-6835	43	15	6835	6835	NUM
ejpam-6835	43	16	3	3	NUM
ejpam-6835	43	17	of	of	ADP
ejpam-6835	43	18	29	29	NUM
ejpam-6835	43	19	hypergraphs	hypergraph	NOUN
ejpam-6835	43	20	is	be	AUX
ejpam-6835	43	21	still	still	ADV
ejpam-6835	43	22	in	in	ADP
ejpam-6835	43	23	its	its	PRON
ejpam-6835	43	24	early	early	ADJ
ejpam-6835	43	25	stages	stage	NOUN
ejpam-6835	43	26	,	,	PUNCT
ejpam-6835	43	27	and	and	CCONJ
ejpam-6835	43	28	investigations	investigation	NOUN
ejpam-6835	43	29	into	into	ADP
ejpam-6835	43	30	random	random	ADJ
ejpam-6835	43	31	superhypergraphs	superhypergraph	NOUN
ejpam-6835	43	32	have	have	AUX
ejpam-6835	43	33	not	not	PART
ejpam-6835	43	34	yet	yet	ADV
ejpam-6835	43	35	been	be	AUX
ejpam-6835	43	36	advanced	advanced	ADJ
ejpam-6835	43	37	.	.	PUNCT
ejpam-6835	44	1	in	in	ADP
ejpam-6835	44	2	this	this	DET
ejpam-6835	44	3	paper	paper	NOUN
ejpam-6835	44	4	,	,	PUNCT
ejpam-6835	44	5	we	we	PRON
ejpam-6835	44	6	investigate	investigate	VERB
ejpam-6835	44	7	the	the	DET
ejpam-6835	44	8	notion	notion	NOUN
ejpam-6835	44	9	of	of	ADP
ejpam-6835	44	10	a	a	DET
ejpam-6835	44	11	random	random	ADJ
ejpam-6835	44	12	superhypergraph	superhypergraph	NOUN
ejpam-6835	44	13	and	and	CCONJ
ejpam-6835	44	14	provide	provide	VERB
ejpam-6835	44	15	a	a	DET
ejpam-6835	44	16	concise	concise	ADJ
ejpam-6835	44	17	mathematical	mathematical	ADJ
ejpam-6835	44	18	exploration	exploration	NOUN
ejpam-6835	44	19	of	of	ADP
ejpam-6835	44	20	its	its	PRON
ejpam-6835	44	21	structure	structure	NOUN
ejpam-6835	44	22	.	.	PUNCT
ejpam-6835	45	1	additionally	additionally	ADV
ejpam-6835	45	2	,	,	PUNCT
ejpam-6835	45	3	we	we	PRON
ejpam-6835	45	4	present	present	VERB
ejpam-6835	45	5	a	a	DET
ejpam-6835	45	6	simple	simple	ADJ
ejpam-6835	45	7	algorithm	algorithm	NOUN
ejpam-6835	45	8	for	for	ADP
ejpam-6835	45	9	generating	generate	VERB
ejpam-6835	45	10	random	random	ADJ
ejpam-6835	45	11	superhypergraphs	superhypergraph	NOUN
ejpam-6835	45	12	.	.	PUNCT
ejpam-6835	46	1	table	table	NOUN
ejpam-6835	46	2	2	2	NUM
ejpam-6835	46	3	highlights	highlight	NOUN
ejpam-6835	46	4	the	the	DET
ejpam-6835	46	5	principal	principal	ADJ
ejpam-6835	46	6	differences	difference	NOUN
ejpam-6835	46	7	between	between	ADP
ejpam-6835	46	8	random	random	ADJ
ejpam-6835	46	9	graph	graph	NOUN
ejpam-6835	46	10	,	,	PUNCT
ejpam-6835	46	11	random	random	ADJ
ejpam-6835	46	12	k	k	NOUN
ejpam-6835	46	13	-	-	NOUN
ejpam-6835	46	14	hypergraph	hypergraph	VERB
ejpam-6835	46	15	,	,	PUNCT
ejpam-6835	46	16	and	and	CCONJ
ejpam-6835	46	17	random	random	ADJ
ejpam-6835	46	18	n	n	CCONJ
ejpam-6835	46	19	-	-	PUNCT
ejpam-6835	46	20	superhypergraph	superhypergraph	NOUN
ejpam-6835	46	21	.	.	PUNCT
ejpam-6835	47	1	unifying	unify	VERB
ejpam-6835	47	2	graphs	graph	NOUN
ejpam-6835	47	3	and	and	CCONJ
ejpam-6835	47	4	hypergraphs	hypergraph	NOUN
ejpam-6835	47	5	,	,	PUNCT
ejpam-6835	47	6	random	random	ADJ
ejpam-6835	47	7	n	n	CCONJ
ejpam-6835	47	8	-	-	PUNCT
ejpam-6835	47	9	superhypergraphs	superhypergraph	NOUN
ejpam-6835	47	10	enable	enable	VERB
ejpam-6835	47	11	modeling	model	VERB
ejpam-6835	47	12	hierarchical	hierarchical	ADJ
ejpam-6835	47	13	,	,	PUNCT
ejpam-6835	47	14	multi	multi	ADJ
ejpam-6835	47	15	-	-	ADJ
ejpam-6835	47	16	scale	scale	ADJ
ejpam-6835	47	17	structures	structure	NOUN
ejpam-6835	47	18	,	,	PUNCT
ejpam-6835	47	19	capture	capture	VERB
ejpam-6835	47	20	nested	nest	VERB
ejpam-6835	47	21	high	high	ADJ
ejpam-6835	47	22	-	-	PUNCT
ejpam-6835	47	23	order	order	NOUN
ejpam-6835	47	24	interactions	interaction	NOUN
ejpam-6835	47	25	in	in	ADP
ejpam-6835	47	26	complex	complex	ADJ
ejpam-6835	47	27	systems	system	NOUN
ejpam-6835	47	28	,	,	PUNCT
ejpam-6835	47	29	and	and	CCONJ
ejpam-6835	47	30	support	support	VERB
ejpam-6835	47	31	probabilistic	probabilistic	ADJ
ejpam-6835	47	32	analysis	analysis	NOUN
ejpam-6835	47	33	of	of	ADP
ejpam-6835	47	34	layered	layered	ADJ
ejpam-6835	47	35	networks	network	NOUN
ejpam-6835	47	36	.	.	PUNCT
ejpam-6835	48	1	model	model	NOUN
ejpam-6835	48	2	notation	notation	PROPN
ejpam-6835	48	3	edge	edge	NOUN
ejpam-6835	48	4	domain	domain	NOUN
ejpam-6835	48	5	inclusion	inclusion	NOUN
ejpam-6835	48	6	rule	rule	VERB
ejpam-6835	48	7	random	random	ADJ
ejpam-6835	48	8	graph	graph	NOUN
ejpam-6835	48	9	g(n	g(n	PROPN
ejpam-6835	48	10	,	,	PUNCT
ejpam-6835	48	11	p	p	X
ejpam-6835	48	12	)	)	PUNCT
ejpam-6835	48	13	all	all	DET
ejpam-6835	48	14	2	2	NUM
ejpam-6835	48	15	-	-	PUNCT
ejpam-6835	48	16	element	element	NOUN
ejpam-6835	48	17	subsets	subset	NOUN
ejpam-6835	48	18	of	of	ADP
ejpam-6835	48	19	v	v	NOUN
ejpam-6835	48	20	=	=	SYM
ejpam-6835	48	21	{	{	PUNCT
ejpam-6835	48	22	1	1	NUM
ejpam-6835	48	23	,	,	PUNCT
ejpam-6835	48	24	.	.	PUNCT
ejpam-6835	48	25	.	.	PUNCT
ejpam-6835	49	1	.	.	PUNCT
ejpam-6835	50	1	,	,	PUNCT
ejpam-6835	50	2	n	n	CCONJ
ejpam-6835	50	3	}	}	PUNCT
ejpam-6835	50	4	each	each	DET
ejpam-6835	50	5	{	{	PUNCT
ejpam-6835	50	6	u	u	NOUN
ejpam-6835	50	7	,	,	PUNCT
ejpam-6835	50	8	v	v	NOUN
ejpam-6835	50	9	}	}	PUNCT
ejpam-6835	50	10	appears	appear	VERB
ejpam-6835	50	11	independently	independently	ADV
ejpam-6835	50	12	with	with	ADP
ejpam-6835	50	13	probability	probability	NOUN
ejpam-6835	50	14	p.	p.	NOUN
ejpam-6835	50	15	random	random	ADJ
ejpam-6835	51	1	k	k	NOUN
ejpam-6835	51	2	-	-	NOUN
ejpam-6835	51	3	hypergraph	hypergraph	VERB
ejpam-6835	51	4	hk(n	hk(n	PRON
ejpam-6835	51	5	,	,	PUNCT
ejpam-6835	51	6	p	p	NOUN
ejpam-6835	51	7	)	)	PUNCT
ejpam-6835	51	8	all	all	DET
ejpam-6835	51	9	k	k	ADJ
ejpam-6835	51	10	-	-	ADJ
ejpam-6835	51	11	element	element	ADJ
ejpam-6835	51	12	subsets	subset	NOUN
ejpam-6835	51	13	of	of	ADP
ejpam-6835	51	14	v	v	NOUN
ejpam-6835	51	15	=	=	SYM
ejpam-6835	51	16	{	{	PUNCT
ejpam-6835	51	17	1	1	NUM
ejpam-6835	51	18	,	,	PUNCT
ejpam-6835	51	19	.	.	PUNCT
ejpam-6835	51	20	.	.	PUNCT
ejpam-6835	52	1	.	.	PUNCT
ejpam-6835	53	1	,	,	PUNCT
ejpam-6835	53	2	n	n	CCONJ
ejpam-6835	53	3	}	}	PUNCT
ejpam-6835	53	4	each	each	DET
ejpam-6835	53	5	e	e	PROPN
ejpam-6835	53	6	⊂	⊂	PROPN
ejpam-6835	53	7	v	v	NOUN
ejpam-6835	53	8	with	with	ADP
ejpam-6835	53	9	|e|	|e|	PROPN
ejpam-6835	53	10	=	=	SYM
ejpam-6835	53	11	k	k	PROPN
ejpam-6835	53	12	appears	appear	VERB
ejpam-6835	53	13	independently	independently	ADV
ejpam-6835	53	14	with	with	ADP
ejpam-6835	53	15	probability	probability	NOUN
ejpam-6835	53	16	p.	p.	NOUN
ejpam-6835	53	17	random	random	ADJ
ejpam-6835	53	18	n	n	CCONJ
ejpam-6835	53	19	-	-	PUNCT
ejpam-6835	53	20	superhypergraph	superhypergraph	NOUN
ejpam-6835	53	21	suhg(n)(v0	suhg(n)(v0	VERB
ejpam-6835	53	22	,	,	PUNCT
ejpam-6835	53	23	p	p	NOUN
ejpam-6835	53	24	)	)	PUNCT
ejpam-6835	53	25	all	all	DET
ejpam-6835	53	26	nonempty	nonempty	ADJ
ejpam-6835	53	27	subsets	subset	NOUN
ejpam-6835	53	28	of	of	ADP
ejpam-6835	53	29	v	v	NOUN
ejpam-6835	53	30	(	(	PUNCT
ejpam-6835	53	31	n	n	CCONJ
ejpam-6835	53	32	)	)	PUNCT
ejpam-6835	53	33	=	=	SYM
ejpam-6835	54	1	psn(v0	psn(v0	NOUN
ejpam-6835	54	2	)	)	PUNCT
ejpam-6835	54	3	,	,	PUNCT
ejpam-6835	54	4	i.e.	i.e.	X
ejpam-6835	54	5	ps(v	ps(v	X
ejpam-6835	54	6	(	(	PUNCT
ejpam-6835	54	7	n	n	CCONJ
ejpam-6835	54	8	)	)	PUNCT
ejpam-6835	54	9	)	)	PUNCT
ejpam-6835	54	10	\	\	NOUN
ejpam-6835	54	11	{	{	PUNCT
ejpam-6835	54	12	∅	∅	NOUN
ejpam-6835	54	13	}	}	PUNCT
ejpam-6835	54	14	each	each	DET
ejpam-6835	54	15	potential	potential	ADJ
ejpam-6835	54	16	hyperedge	hyperedge	NOUN
ejpam-6835	54	17	e	e	NOUN
ejpam-6835	54	18	⊆	⊆	NUM
ejpam-6835	54	19	v	v	NOUN
ejpam-6835	54	20	(	(	PUNCT
ejpam-6835	54	21	n	n	CCONJ
ejpam-6835	54	22	)	)	PUNCT
ejpam-6835	54	23	,	,	PUNCT
ejpam-6835	54	24	e	e	PROPN
ejpam-6835	54	25	̸=	̸=	PROPN
ejpam-6835	54	26	∅	∅	NOUN
ejpam-6835	54	27	,	,	PUNCT
ejpam-6835	54	28	is	be	AUX
ejpam-6835	54	29	included	include	VERB
ejpam-6835	54	30	independently	independently	ADV
ejpam-6835	54	31	with	with	ADP
ejpam-6835	54	32	probability	probability	NOUN
ejpam-6835	54	33	p.	p.	NOUN
ejpam-6835	54	34	table	table	NOUN
ejpam-6835	54	35	2	2	NUM
ejpam-6835	54	36	:	:	PUNCT
ejpam-6835	54	37	comparison	comparison	NOUN
ejpam-6835	54	38	of	of	ADP
ejpam-6835	54	39	random	random	ADJ
ejpam-6835	54	40	graph	graph	NOUN
ejpam-6835	54	41	,	,	PUNCT
ejpam-6835	54	42	random	random	ADJ
ejpam-6835	54	43	k	k	NOUN
ejpam-6835	54	44	-	-	NOUN
ejpam-6835	54	45	hypergraph	hypergraph	VERB
ejpam-6835	54	46	,	,	PUNCT
ejpam-6835	54	47	and	and	CCONJ
ejpam-6835	54	48	random	random	ADJ
ejpam-6835	54	49	n	n	CCONJ
ejpam-6835	54	50	-	-	PUNCT
ejpam-6835	54	51	superhypergraph	superhypergraph	NOUN
ejpam-6835	54	52	structure	structure	NOUN
ejpam-6835	54	53	of	of	ADP
ejpam-6835	54	54	this	this	DET
ejpam-6835	54	55	paper	paper	NOUN
ejpam-6835	54	56	this	this	DET
ejpam-6835	54	57	paper	paper	NOUN
ejpam-6835	54	58	is	be	AUX
ejpam-6835	54	59	structured	structure	VERB
ejpam-6835	54	60	as	as	SCONJ
ejpam-6835	54	61	follows	follow	VERB
ejpam-6835	54	62	.	.	PUNCT
ejpam-6835	55	1	in	in	ADP
ejpam-6835	55	2	section	section	NOUN
ejpam-6835	55	3	2	2	NUM
ejpam-6835	55	4	,	,	PUNCT
ejpam-6835	55	5	we	we	PRON
ejpam-6835	55	6	introduce	introduce	VERB
ejpam-6835	55	7	the	the	DET
ejpam-6835	55	8	definitions	definition	NOUN
ejpam-6835	55	9	and	and	CCONJ
ejpam-6835	55	10	fundamental	fundamental	ADJ
ejpam-6835	55	11	concepts	concept	NOUN
ejpam-6835	55	12	of	of	ADP
ejpam-6835	55	13	superhypergraphs	superhypergraph	NOUN
ejpam-6835	55	14	and	and	CCONJ
ejpam-6835	55	15	random	random	ADJ
ejpam-6835	55	16	graphs	graph	NOUN
ejpam-6835	55	17	.	.	PUNCT
ejpam-6835	56	1	section	section	NOUN
ejpam-6835	56	2	3	3	NUM
ejpam-6835	56	3	presents	present	VERB
ejpam-6835	56	4	concrete	concrete	ADJ
ejpam-6835	56	5	examples	example	NOUN
ejpam-6835	56	6	and	and	CCONJ
ejpam-6835	56	7	investigates	investigate	VERB
ejpam-6835	56	8	the	the	DET
ejpam-6835	56	9	mathematical	mathematical	ADJ
ejpam-6835	56	10	properties	property	NOUN
ejpam-6835	56	11	of	of	ADP
ejpam-6835	56	12	random	random	ADJ
ejpam-6835	56	13	superhypergraphs	superhypergraph	NOUN
ejpam-6835	56	14	.	.	PUNCT
ejpam-6835	57	1	in	in	ADP
ejpam-6835	57	2	section	section	NOUN
ejpam-6835	57	3	4	4	NUM
ejpam-6835	57	4	,	,	PUNCT
ejpam-6835	57	5	we	we	PRON
ejpam-6835	57	6	examine	examine	VERB
ejpam-6835	57	7	algorithms	algorithm	NOUN
ejpam-6835	57	8	for	for	ADP
ejpam-6835	57	9	generating	generate	VERB
ejpam-6835	57	10	and	and	CCONJ
ejpam-6835	57	11	analyzing	analyze	VERB
ejpam-6835	57	12	random	random	ADJ
ejpam-6835	57	13	superhypergraphs	superhypergraph	NOUN
ejpam-6835	57	14	.	.	PUNCT
ejpam-6835	58	1	finally	finally	ADV
ejpam-6835	58	2	,	,	PUNCT
ejpam-6835	58	3	section	section	NOUN
ejpam-6835	58	4	5	5	NUM
ejpam-6835	58	5	concludes	conclude	VERB
ejpam-6835	58	6	the	the	DET
ejpam-6835	58	7	paper	paper	NOUN
ejpam-6835	58	8	and	and	CCONJ
ejpam-6835	58	9	outlines	outline	VERB
ejpam-6835	58	10	directions	direction	NOUN
ejpam-6835	58	11	for	for	ADP
ejpam-6835	58	12	future	future	ADJ
ejpam-6835	58	13	research	research	NOUN
ejpam-6835	58	14	.	.	PUNCT
ejpam-6835	59	1	2	2	X
ejpam-6835	59	2	.	.	X
ejpam-6835	59	3	preliminaries	preliminary	NOUN
ejpam-6835	59	4	this	this	DET
ejpam-6835	59	5	section	section	NOUN
ejpam-6835	59	6	provides	provide	VERB
ejpam-6835	59	7	an	an	DET
ejpam-6835	59	8	overview	overview	NOUN
ejpam-6835	59	9	of	of	ADP
ejpam-6835	59	10	the	the	DET
ejpam-6835	59	11	fundamental	fundamental	ADJ
ejpam-6835	59	12	concepts	concept	NOUN
ejpam-6835	59	13	and	and	CCONJ
ejpam-6835	59	14	definitions	definition	NOUN
ejpam-6835	59	15	essential	essential	ADJ
ejpam-6835	59	16	for	for	ADP
ejpam-6835	59	17	the	the	DET
ejpam-6835	59	18	discussions	discussion	NOUN
ejpam-6835	59	19	in	in	ADP
ejpam-6835	59	20	this	this	DET
ejpam-6835	59	21	paper	paper	NOUN
ejpam-6835	59	22	.	.	PUNCT
ejpam-6835	60	1	unless	unless	SCONJ
ejpam-6835	60	2	otherwise	otherwise	ADV
ejpam-6835	60	3	specified	specify	VERB
ejpam-6835	60	4	,	,	PUNCT
ejpam-6835	60	5	all	all	DET
ejpam-6835	60	6	graphs	graph	NOUN
ejpam-6835	60	7	considered	consider	VERB
ejpam-6835	60	8	in	in	ADP
ejpam-6835	60	9	this	this	DET
ejpam-6835	60	10	paper	paper	NOUN
ejpam-6835	60	11	are	be	AUX
ejpam-6835	60	12	assumed	assume	VERB
ejpam-6835	60	13	to	to	PART
ejpam-6835	60	14	be	be	AUX
ejpam-6835	60	15	finite	finite	ADJ
ejpam-6835	60	16	.	.	PUNCT
ejpam-6835	61	1	2.1	2.1	NUM
ejpam-6835	61	2	.	.	PUNCT
ejpam-6835	62	1	superhypergraphs	superhypergraph	VERB
ejpam-6835	62	2	a	a	DET
ejpam-6835	62	3	superhypergraph	superhypergraph	NOUN
ejpam-6835	62	4	extends	extend	VERB
ejpam-6835	62	5	the	the	DET
ejpam-6835	62	6	notion	notion	NOUN
ejpam-6835	62	7	of	of	ADP
ejpam-6835	62	8	a	a	DET
ejpam-6835	62	9	hypergraph	hypergraph	NOUN
ejpam-6835	62	10	by	by	ADP
ejpam-6835	62	11	applying	apply	VERB
ejpam-6835	62	12	the	the	DET
ejpam-6835	62	13	powerset	powerset	NOUN
ejpam-6835	62	14	operator	operator	NOUN
ejpam-6835	62	15	repeatedly	repeatedly	ADV
ejpam-6835	62	16	,	,	PUNCT
ejpam-6835	62	17	thereby	thereby	ADV
ejpam-6835	62	18	modeling	model	VERB
ejpam-6835	62	19	hierarchical	hierarchical	ADJ
ejpam-6835	62	20	,	,	PUNCT
ejpam-6835	62	21	nested	nested	ADJ
ejpam-6835	62	22	,	,	PUNCT
ejpam-6835	62	23	and	and	CCONJ
ejpam-6835	62	24	self	self	NOUN
ejpam-6835	62	25	-	-	PUNCT
ejpam-6835	62	26	referential	referential	ADJ
ejpam-6835	62	27	connections	connection	NOUN
ejpam-6835	62	28	among	among	ADP
ejpam-6835	62	29	vertices	vertex	NOUN
ejpam-6835	62	30	and	and	CCONJ
ejpam-6835	62	31	edges	edge	NOUN
ejpam-6835	62	32	[	[	X
ejpam-6835	62	33	2	2	NUM
ejpam-6835	62	34	,	,	PUNCT
ejpam-6835	62	35	46	46	NUM
ejpam-6835	62	36	,	,	PUNCT
ejpam-6835	62	37	47	47	NUM
ejpam-6835	62	38	]	]	PUNCT
ejpam-6835	62	39	.	.	PUNCT
ejpam-6835	63	1	below	below	ADP
ejpam-6835	63	2	we	we	PRON
ejpam-6835	63	3	give	give	VERB
ejpam-6835	63	4	precise	precise	ADJ
ejpam-6835	63	5	definitions	definition	NOUN
ejpam-6835	63	6	.	.	PUNCT
ejpam-6835	64	1	t.	t.	PROPN
ejpam-6835	64	2	fujita	fujita	PROPN
ejpam-6835	64	3	,	,	PUNCT
ejpam-6835	64	4	f.	f.	PROPN
ejpam-6835	64	5	smarandache	smarandache	PROPN
ejpam-6835	64	6	/	/	SYM
ejpam-6835	64	7	eur	eur	PROPN
ejpam-6835	64	8	.	.	PUNCT
ejpam-6835	65	1	j.	j.	PROPN
ejpam-6835	65	2	pure	pure	PROPN
ejpam-6835	65	3	appl	appl	PROPN
ejpam-6835	65	4	.	.	PROPN
ejpam-6835	65	5	math	math	PROPN
ejpam-6835	65	6	,	,	PUNCT
ejpam-6835	65	7	18	18	NUM
ejpam-6835	65	8	(	(	PUNCT
ejpam-6835	65	9	4	4	NUM
ejpam-6835	65	10	)	)	PUNCT
ejpam-6835	65	11	(	(	PUNCT
ejpam-6835	65	12	2025	2025	NUM
ejpam-6835	65	13	)	)	PUNCT
ejpam-6835	65	14	,	,	PUNCT
ejpam-6835	65	15	6835	6835	NUM
ejpam-6835	65	16	4	4	NUM
ejpam-6835	65	17	of	of	ADP
ejpam-6835	65	18	29	29	NUM
ejpam-6835	65	19	definition	definition	NOUN
ejpam-6835	65	20	1	1	NUM
ejpam-6835	65	21	(	(	PUNCT
ejpam-6835	65	22	base	base	NOUN
ejpam-6835	65	23	set	set	NOUN
ejpam-6835	65	24	)	)	PUNCT
ejpam-6835	65	25	.	.	PUNCT
ejpam-6835	66	1	let	let	VERB
ejpam-6835	66	2	s	s	PRON
ejpam-6835	66	3	be	be	AUX
ejpam-6835	66	4	a	a	DET
ejpam-6835	66	5	nonempty	nonempty	ADJ
ejpam-6835	66	6	set	set	NOUN
ejpam-6835	66	7	of	of	ADP
ejpam-6835	66	8	elements	element	NOUN
ejpam-6835	66	9	.	.	PUNCT
ejpam-6835	67	1	we	we	PRON
ejpam-6835	67	2	call	call	VERB
ejpam-6835	67	3	s	s	VERB
ejpam-6835	67	4	the	the	DET
ejpam-6835	67	5	base	base	NOUN
ejpam-6835	67	6	set	set	NOUN
ejpam-6835	67	7	.	.	PUNCT
ejpam-6835	68	1	all	all	DET
ejpam-6835	68	2	subsequent	subsequent	ADJ
ejpam-6835	68	3	constructions	construction	NOUN
ejpam-6835	68	4	originate	originate	VERB
ejpam-6835	68	5	from	from	ADP
ejpam-6835	68	6	s.	s.	PROPN
ejpam-6835	68	7	definition	definition	NOUN
ejpam-6835	68	8	2	2	NUM
ejpam-6835	68	9	(	(	PUNCT
ejpam-6835	68	10	powerset	powerset	NOUN
ejpam-6835	68	11	)	)	PUNCT
ejpam-6835	68	12	.	.	PUNCT
ejpam-6835	69	1	[	[	X
ejpam-6835	69	2	48	48	NUM
ejpam-6835	69	3	,	,	PUNCT
ejpam-6835	69	4	49	49	NUM
ejpam-6835	69	5	]	]	PUNCT
ejpam-6835	69	6	for	for	ADP
ejpam-6835	69	7	any	any	DET
ejpam-6835	69	8	set	set	NOUN
ejpam-6835	69	9	s	s	PART
ejpam-6835	69	10	,	,	PUNCT
ejpam-6835	69	11	its	its	PRON
ejpam-6835	69	12	powerset	powerset	NOUN
ejpam-6835	69	13	is	be	AUX
ejpam-6835	69	14	ps(s	ps(s	X
ejpam-6835	69	15	)	)	PUNCT
ejpam-6835	70	1	=	=	PRON
ejpam-6835	70	2	{	{	PUNCT
ejpam-6835	70	3	a	a	DET
ejpam-6835	70	4	|	|	NOUN
ejpam-6835	70	5	a	a	DET
ejpam-6835	70	6	⊆	⊆	NUM
ejpam-6835	70	7	s	s	NOUN
ejpam-6835	70	8	}	}	PUNCT
ejpam-6835	70	9	,	,	PUNCT
ejpam-6835	70	10	the	the	DET
ejpam-6835	70	11	collection	collection	NOUN
ejpam-6835	70	12	of	of	ADP
ejpam-6835	70	13	all	all	DET
ejpam-6835	70	14	subsets	subset	NOUN
ejpam-6835	70	15	of	of	ADP
ejpam-6835	70	16	s	s	NOUN
ejpam-6835	70	17	,	,	PUNCT
ejpam-6835	70	18	including	include	VERB
ejpam-6835	70	19	∅	∅	NOUN
ejpam-6835	70	20	and	and	CCONJ
ejpam-6835	70	21	s	s	VERB
ejpam-6835	70	22	itself	itself	PRON
ejpam-6835	70	23	.	.	PUNCT
ejpam-6835	71	1	the	the	DET
ejpam-6835	71	2	n	n	ADV
ejpam-6835	71	3	-	-	PUNCT
ejpam-6835	71	4	th	th	ADV
ejpam-6835	71	5	iterated	iterate	VERB
ejpam-6835	71	6	powerset	powerset	NOUN
ejpam-6835	71	7	is	be	AUX
ejpam-6835	71	8	obtained	obtain	VERB
ejpam-6835	71	9	by	by	ADP
ejpam-6835	71	10	applying	apply	VERB
ejpam-6835	71	11	the	the	DET
ejpam-6835	71	12	powerset	powerset	NOUN
ejpam-6835	71	13	operation	operation	NOUN
ejpam-6835	71	14	to	to	ADP
ejpam-6835	71	15	a	a	DET
ejpam-6835	71	16	set	set	NOUN
ejpam-6835	71	17	repeatedly	repeatedly	ADV
ejpam-6835	71	18	n	n	DET
ejpam-6835	71	19	times	time	NOUN
ejpam-6835	71	20	,	,	PUNCT
ejpam-6835	71	21	producing	produce	VERB
ejpam-6835	71	22	nested	nested	ADJ
ejpam-6835	71	23	subsets[50–52	subsets[50–52	PROPN
ejpam-6835	71	24	]	]	PUNCT
ejpam-6835	71	25	.	.	PUNCT
ejpam-6835	72	1	definition	definition	NOUN
ejpam-6835	72	2	3	3	NUM
ejpam-6835	72	3	(	(	PUNCT
ejpam-6835	72	4	n	n	CCONJ
ejpam-6835	72	5	-	-	PUNCT
ejpam-6835	72	6	th	th	ADV
ejpam-6835	72	7	iterated	iterate	VERB
ejpam-6835	72	8	powerset	powerset	NOUN
ejpam-6835	72	9	)	)	PUNCT
ejpam-6835	72	10	.	.	PUNCT
ejpam-6835	73	1	(	(	PUNCT
ejpam-6835	73	2	cf.[53–55	cf.[53–55	PROPN
ejpam-6835	73	3	]	]	PUNCT
ejpam-6835	73	4	)	)	PUNCT
ejpam-6835	73	5	let	let	VERB
ejpam-6835	73	6	n	n	PRON
ejpam-6835	73	7	∈	∈	PROPN
ejpam-6835	73	8	n.	n.	NOUN
ejpam-6835	73	9	define	define	VERB
ejpam-6835	73	10	recursively	recursively	ADV
ejpam-6835	73	11	ps1(s	ps1(s	NOUN
ejpam-6835	73	12	)	)	PUNCT
ejpam-6835	73	13	=	=	SYM
ejpam-6835	73	14	ps(s	ps(s	X
ejpam-6835	73	15	)	)	PUNCT
ejpam-6835	73	16	,	,	PUNCT
ejpam-6835	73	17	psk+1(s	psk+1(	VERB
ejpam-6835	73	18	)	)	PUNCT
ejpam-6835	74	1	=	=	SYM
ejpam-6835	74	2	ps	ps	INTJ
ejpam-6835	74	3	(	(	PUNCT
ejpam-6835	74	4	psk(s	psk(s	PROPN
ejpam-6835	74	5	)	)	PUNCT
ejpam-6835	74	6	)	)	PUNCT
ejpam-6835	75	1	(	(	PUNCT
ejpam-6835	75	2	k	k	X
ejpam-6835	75	3	≥	≥	NUM
ejpam-6835	75	4	1	1	NUM
ejpam-6835	75	5	)	)	PUNCT
ejpam-6835	75	6	.	.	PUNCT
ejpam-6835	76	1	then	then	ADV
ejpam-6835	76	2	psn(s	psn(s	X
ejpam-6835	76	3	)	)	PUNCT
ejpam-6835	76	4	is	be	AUX
ejpam-6835	76	5	the	the	DET
ejpam-6835	76	6	n	n	ADV
ejpam-6835	76	7	-	-	PUNCT
ejpam-6835	76	8	th	th	ADV
ejpam-6835	76	9	iterated	iterated	ADJ
ejpam-6835	76	10	powerset	powerset	NOUN
ejpam-6835	76	11	of	of	ADP
ejpam-6835	76	12	s.	s.	PROPN
ejpam-6835	76	13	if	if	SCONJ
ejpam-6835	76	14	one	one	PRON
ejpam-6835	76	15	wishes	wish	VERB
ejpam-6835	76	16	to	to	PART
ejpam-6835	76	17	exclude	exclude	VERB
ejpam-6835	76	18	the	the	DET
ejpam-6835	76	19	empty	empty	ADJ
ejpam-6835	76	20	set	set	NOUN
ejpam-6835	76	21	at	at	ADP
ejpam-6835	76	22	each	each	DET
ejpam-6835	76	23	stage	stage	NOUN
ejpam-6835	76	24	,	,	PUNCT
ejpam-6835	76	25	write	write	VERB
ejpam-6835	76	26	ps∗	ps∗	NOUN
ejpam-6835	76	27	1(s	1(s	NUM
ejpam-6835	76	28	)	)	PUNCT
ejpam-6835	76	29	=	=	SYM
ejpam-6835	76	30	ps(s	ps(s	X
ejpam-6835	76	31	)	)	PUNCT
ejpam-6835	76	32	\	\	NOUN
ejpam-6835	76	33	{	{	PUNCT
ejpam-6835	76	34	∅	∅	NOUN
ejpam-6835	76	35	}	}	PUNCT
ejpam-6835	76	36	and	and	CCONJ
ejpam-6835	76	37	ps∗	ps∗	ADJ
ejpam-6835	76	38	k+1(s	k+1(s	PROPN
ejpam-6835	76	39	)	)	PUNCT
ejpam-6835	77	1	=	=	SYM
ejpam-6835	77	2	ps	ps	PROPN
ejpam-6835	77	3	(	(	PUNCT
ejpam-6835	77	4	ps∗	ps∗	NOUN
ejpam-6835	77	5	k(s	k(s	PROPN
ejpam-6835	77	6	)	)	PUNCT
ejpam-6835	77	7	)	)	PUNCT
ejpam-6835	77	8	\	\	NOUN
ejpam-6835	77	9	{	{	PUNCT
ejpam-6835	77	10	∅	∅	NOUN
ejpam-6835	77	11	}	}	PUNCT
ejpam-6835	77	12	.	.	PUNCT
ejpam-6835	78	1	example	example	NOUN
ejpam-6835	78	2	1	1	NUM
ejpam-6835	78	3	(	(	PUNCT
ejpam-6835	78	4	hierarchical	hierarchical	ADJ
ejpam-6835	78	5	meal	meal	NOUN
ejpam-6835	78	6	planning	planning	NOUN
ejpam-6835	78	7	)	)	PUNCT
ejpam-6835	78	8	.	.	PUNCT
ejpam-6835	79	1	let	let	VERB
ejpam-6835	79	2	s	s	PRON
ejpam-6835	79	3	=	=	NOUN
ejpam-6835	79	4	{	{	PUNCT
ejpam-6835	79	5	eggs	egg	NOUN
ejpam-6835	79	6	,	,	PUNCT
ejpam-6835	79	7	bread	bread	NOUN
ejpam-6835	79	8	,	,	PUNCT
ejpam-6835	79	9	butter	butter	NOUN
ejpam-6835	79	10	,	,	PUNCT
ejpam-6835	79	11	jam	jam	PROPN
ejpam-6835	79	12	}	}	PUNCT
ejpam-6835	79	13	be	be	AUX
ejpam-6835	79	14	basic	basic	ADJ
ejpam-6835	79	15	breakfast	breakfast	NOUN
ejpam-6835	79	16	ingredients	ingredient	NOUN
ejpam-6835	79	17	.	.	PUNCT
ejpam-6835	80	1	then	then	ADV
ejpam-6835	80	2	:	:	PUNCT
ejpam-6835	80	3	•	•	NUM
ejpam-6835	80	4	ps1(s	ps1(s	PROPN
ejpam-6835	80	5	)	)	PUNCT
ejpam-6835	80	6	lists	list	VERB
ejpam-6835	80	7	all	all	DET
ejpam-6835	80	8	single	single	ADJ
ejpam-6835	80	9	-	-	PUNCT
ejpam-6835	80	10	meal	meal	NOUN
ejpam-6835	80	11	combinations	combination	NOUN
ejpam-6835	80	12	(	(	PUNCT
ejpam-6835	80	13	e.g.	e.g.	ADV
ejpam-6835	80	14	{	{	PUNCT
ejpam-6835	80	15	eggs	egg	NOUN
ejpam-6835	80	16	,	,	PUNCT
ejpam-6835	80	17	bread	bread	NOUN
ejpam-6835	80	18	}	}	PUNCT
ejpam-6835	80	19	)	)	PUNCT
ejpam-6835	80	20	.	.	PUNCT
ejpam-6835	81	1	•	•	NUM
ejpam-6835	81	2	ps2(s	ps2(s	NOUN
ejpam-6835	81	3	)	)	PUNCT
ejpam-6835	81	4	=	=	SYM
ejpam-6835	82	1	ps(ps1(s	ps(ps1(s	PROPN
ejpam-6835	82	2	)	)	PUNCT
ejpam-6835	82	3	)	)	PUNCT
ejpam-6835	82	4	collects	collect	VERB
ejpam-6835	82	5	weekly	weekly	ADJ
ejpam-6835	82	6	menus	menu	NOUN
ejpam-6835	82	7	,	,	PUNCT
ejpam-6835	82	8	each	each	DET
ejpam-6835	82	9	a	a	DET
ejpam-6835	82	10	set	set	NOUN
ejpam-6835	82	11	of	of	ADP
ejpam-6835	82	12	daily	daily	ADJ
ejpam-6835	82	13	combinations	combination	NOUN
ejpam-6835	82	14	.	.	PUNCT
ejpam-6835	83	1	•	•	NUM
ejpam-6835	83	2	more	more	ADV
ejpam-6835	83	3	generally	generally	ADV
ejpam-6835	83	4	,	,	PUNCT
ejpam-6835	83	5	psn(s	psn(s	NOUN
ejpam-6835	83	6	)	)	PUNCT
ejpam-6835	83	7	for	for	ADP
ejpam-6835	83	8	n	n	X
ejpam-6835	83	9	≥	≥	X
ejpam-6835	83	10	3	3	NUM
ejpam-6835	83	11	represents	represent	VERB
ejpam-6835	83	12	n	n	CCONJ
ejpam-6835	83	13	-	-	PUNCT
ejpam-6835	83	14	level	level	NOUN
ejpam-6835	83	15	meal	meal	NOUN
ejpam-6835	83	16	schedules	schedule	NOUN
ejpam-6835	83	17	(	(	PUNCT
ejpam-6835	83	18	e.g.	e.g.	ADV
ejpam-6835	83	19	monthly	monthly	ADJ
ejpam-6835	83	20	plans	plan	NOUN
ejpam-6835	83	21	)	)	PUNCT
ejpam-6835	83	22	.	.	PUNCT
ejpam-6835	84	1	this	this	PRON
ejpam-6835	84	2	illustrates	illustrate	VERB
ejpam-6835	84	3	how	how	SCONJ
ejpam-6835	84	4	iterated	iterated	ADJ
ejpam-6835	84	5	powersets	powerset	NOUN
ejpam-6835	84	6	encode	encode	ADJ
ejpam-6835	84	7	multi	multi	ADJ
ejpam-6835	84	8	-	-	ADJ
ejpam-6835	84	9	scale	scale	ADJ
ejpam-6835	84	10	planning	planning	NOUN
ejpam-6835	84	11	:	:	PUNCT
ejpam-6835	84	12	single	single	ADJ
ejpam-6835	84	13	meals	meal	NOUN
ejpam-6835	84	14	→	→	SYM
ejpam-6835	84	15	weekly	weekly	ADJ
ejpam-6835	84	16	menus	menu	NOUN
ejpam-6835	84	17	→	→	PUNCT
ejpam-6835	84	18	monthly	monthly	ADJ
ejpam-6835	84	19	schedules	schedule	NOUN
ejpam-6835	84	20	,	,	PUNCT
ejpam-6835	84	21	and	and	CCONJ
ejpam-6835	84	22	so	so	ADV
ejpam-6835	84	23	on	on	ADV
ejpam-6835	84	24	.	.	PUNCT
ejpam-6835	85	1	definition	definition	NOUN
ejpam-6835	85	2	4	4	NUM
ejpam-6835	85	3	(	(	PUNCT
ejpam-6835	85	4	hypergraph	hypergraph	NOUN
ejpam-6835	85	5	)	)	PUNCT
ejpam-6835	85	6	.	.	PUNCT
ejpam-6835	86	1	[	[	X
ejpam-6835	86	2	1	1	NUM
ejpam-6835	86	3	,	,	PUNCT
ejpam-6835	86	4	56	56	NUM
ejpam-6835	86	5	]	]	PUNCT
ejpam-6835	86	6	a	a	DET
ejpam-6835	86	7	hypergraph	hypergraph	NOUN
ejpam-6835	86	8	h	h	NOUN
ejpam-6835	86	9	=	=	SYM
ejpam-6835	86	10	(	(	PUNCT
ejpam-6835	86	11	v	v	NOUN
ejpam-6835	86	12	(	(	PUNCT
ejpam-6835	86	13	h	h	NOUN
ejpam-6835	86	14	)	)	PUNCT
ejpam-6835	86	15	,	,	PUNCT
ejpam-6835	86	16	e(h	e(h	PROPN
ejpam-6835	86	17	)	)	PUNCT
ejpam-6835	86	18	)	)	PUNCT
ejpam-6835	86	19	consists	consist	VERB
ejpam-6835	86	20	of	of	ADP
ejpam-6835	86	21	:	:	PUNCT
ejpam-6835	86	22	•	•	ADP
ejpam-6835	86	23	a	a	DET
ejpam-6835	86	24	nonempty	nonempty	ADV
ejpam-6835	86	25	set	set	VERB
ejpam-6835	86	26	v	v	NOUN
ejpam-6835	86	27	(	(	PUNCT
ejpam-6835	86	28	h	h	NOUN
ejpam-6835	86	29	)	)	PUNCT
ejpam-6835	86	30	of	of	ADP
ejpam-6835	86	31	vertices	vertex	NOUN
ejpam-6835	86	32	.	.	PUNCT
ejpam-6835	87	1	•	•	NUM
ejpam-6835	87	2	a	a	DET
ejpam-6835	87	3	set	set	NOUN
ejpam-6835	87	4	e(h	e(h	NOUN
ejpam-6835	87	5	)	)	PUNCT
ejpam-6835	87	6	of	of	ADP
ejpam-6835	87	7	hyperedges	hyperedge	NOUN
ejpam-6835	87	8	,	,	PUNCT
ejpam-6835	87	9	where	where	SCONJ
ejpam-6835	87	10	each	each	DET
ejpam-6835	87	11	hyperedge	hyperedge	NOUN
ejpam-6835	87	12	is	be	AUX
ejpam-6835	87	13	a	a	DET
ejpam-6835	87	14	nonempty	nonempty	ADJ
ejpam-6835	87	15	subset	subset	NOUN
ejpam-6835	87	16	of	of	ADP
ejpam-6835	87	17	v	v	NOUN
ejpam-6835	87	18	(	(	PUNCT
ejpam-6835	87	19	h	h	NOUN
ejpam-6835	87	20	)	)	PUNCT
ejpam-6835	87	21	,	,	PUNCT
ejpam-6835	87	22	thereby	thereby	ADV
ejpam-6835	87	23	allowing	allow	VERB
ejpam-6835	87	24	connections	connection	NOUN
ejpam-6835	87	25	among	among	ADP
ejpam-6835	87	26	multiple	multiple	ADJ
ejpam-6835	87	27	vertices	vertex	NOUN
ejpam-6835	87	28	.	.	PUNCT
ejpam-6835	88	1	unlike	unlike	ADP
ejpam-6835	88	2	standard	standard	ADJ
ejpam-6835	88	3	graphs	graph	NOUN
ejpam-6835	88	4	,	,	PUNCT
ejpam-6835	88	5	hypergraphs	hypergraph	NOUN
ejpam-6835	88	6	are	be	AUX
ejpam-6835	88	7	well	well	ADV
ejpam-6835	88	8	-	-	PUNCT
ejpam-6835	88	9	suited	suit	VERB
ejpam-6835	88	10	to	to	PART
ejpam-6835	88	11	represent	represent	VERB
ejpam-6835	88	12	higher	high	ADJ
ejpam-6835	88	13	-	-	PUNCT
ejpam-6835	88	14	order	order	NOUN
ejpam-6835	88	15	relationships	relationship	NOUN
ejpam-6835	88	16	.	.	PUNCT
ejpam-6835	89	1	in	in	ADP
ejpam-6835	89	2	this	this	DET
ejpam-6835	89	3	paper	paper	NOUN
ejpam-6835	89	4	,	,	PUNCT
ejpam-6835	89	5	we	we	PRON
ejpam-6835	89	6	restrict	restrict	VERB
ejpam-6835	89	7	ourselves	ourselves	PRON
ejpam-6835	89	8	to	to	ADP
ejpam-6835	89	9	the	the	DET
ejpam-6835	89	10	case	case	NOUN
ejpam-6835	89	11	where	where	SCONJ
ejpam-6835	89	12	both	both	DET
ejpam-6835	89	13	v	v	NOUN
ejpam-6835	89	14	(	(	PUNCT
ejpam-6835	89	15	h	h	NOUN
ejpam-6835	89	16	)	)	PUNCT
ejpam-6835	89	17	and	and	CCONJ
ejpam-6835	89	18	e(h	e(h	NOUN
ejpam-6835	89	19	)	)	PUNCT
ejpam-6835	89	20	are	be	AUX
ejpam-6835	89	21	finite	finite	ADJ
ejpam-6835	89	22	.	.	PUNCT
ejpam-6835	90	1	t.	t.	PROPN
ejpam-6835	90	2	fujita	fujita	PROPN
ejpam-6835	90	3	,	,	PUNCT
ejpam-6835	90	4	f.	f.	PROPN
ejpam-6835	90	5	smarandache	smarandache	PROPN
ejpam-6835	90	6	/	/	SYM
ejpam-6835	90	7	eur	eur	PROPN
ejpam-6835	90	8	.	.	PUNCT
ejpam-6835	91	1	j.	j.	PROPN
ejpam-6835	91	2	pure	pure	PROPN
ejpam-6835	91	3	appl	appl	PROPN
ejpam-6835	91	4	.	.	PROPN
ejpam-6835	91	5	math	math	PROPN
ejpam-6835	91	6	,	,	PUNCT
ejpam-6835	91	7	18	18	NUM
ejpam-6835	91	8	(	(	PUNCT
ejpam-6835	91	9	4	4	NUM
ejpam-6835	91	10	)	)	PUNCT
ejpam-6835	91	11	(	(	PUNCT
ejpam-6835	91	12	2025	2025	NUM
ejpam-6835	91	13	)	)	PUNCT
ejpam-6835	91	14	,	,	PUNCT
ejpam-6835	91	15	6835	6835	NUM
ejpam-6835	91	16	5	5	NUM
ejpam-6835	91	17	of	of	ADP
ejpam-6835	91	18	29	29	NUM
ejpam-6835	91	19	definition	definition	NOUN
ejpam-6835	91	20	5	5	NUM
ejpam-6835	91	21	(	(	PUNCT
ejpam-6835	91	22	n	n	CCONJ
ejpam-6835	91	23	-	-	PUNCT
ejpam-6835	91	24	superhypergraph	superhypergraph	NOUN
ejpam-6835	91	25	)	)	PUNCT
ejpam-6835	91	26	.	.	PUNCT
ejpam-6835	92	1	(	(	PUNCT
ejpam-6835	92	2	cf	cf	NOUN
ejpam-6835	92	3	.	.	PUNCT
ejpam-6835	93	1	[	[	X
ejpam-6835	93	2	2	2	NUM
ejpam-6835	93	3	]	]	PUNCT
ejpam-6835	93	4	)	)	PUNCT
ejpam-6835	93	5	let	let	VERB
ejpam-6835	93	6	v0	v0	NOUN
ejpam-6835	93	7	be	be	AUX
ejpam-6835	93	8	a	a	DET
ejpam-6835	93	9	finite	finite	NOUN
ejpam-6835	93	10	nonempty	nonempty	ADJ
ejpam-6835	93	11	base	base	NOUN
ejpam-6835	93	12	set	set	NOUN
ejpam-6835	93	13	.	.	PUNCT
ejpam-6835	94	1	for	for	ADP
ejpam-6835	94	2	k	k	PROPN
ejpam-6835	94	3	∈	∈	PROPN
ejpam-6835	94	4	n0	n0	PROPN
ejpam-6835	94	5	define	define	VERB
ejpam-6835	94	6	the	the	DET
ejpam-6835	94	7	iterated	iterated	ADJ
ejpam-6835	94	8	powerset	powerset	NOUN
ejpam-6835	94	9	ps0(v0	ps0(v0	VERB
ejpam-6835	94	10	)	)	PUNCT
ejpam-6835	94	11	:	:	PUNCT
ejpam-6835	94	12	=	=	SYM
ejpam-6835	94	13	v0	v0	NOUN
ejpam-6835	94	14	,	,	PUNCT
ejpam-6835	94	15	psk+1(v0	psk+1(v0	NOUN
ejpam-6835	94	16	)	)	PUNCT
ejpam-6835	94	17	:	:	PUNCT
ejpam-6835	95	1	=	=	SYM
ejpam-6835	95	2	ps	ps	INTJ
ejpam-6835	95	3	(	(	PUNCT
ejpam-6835	95	4	psk(v0	psk(v0	PROPN
ejpam-6835	95	5	)	)	PUNCT
ejpam-6835	95	6	)	)	PUNCT
ejpam-6835	95	7	,	,	PUNCT
ejpam-6835	95	8	and	and	CCONJ
ejpam-6835	95	9	write	write	VERB
ejpam-6835	95	10	ps∗(x	ps∗(x	NOUN
ejpam-6835	95	11	)	)	PUNCT
ejpam-6835	95	12	:	:	PUNCT
ejpam-6835	95	13	=	=	SYM
ejpam-6835	95	14	ps(x	ps(x	X
ejpam-6835	95	15	)	)	PUNCT
ejpam-6835	95	16	\	\	NOUN
ejpam-6835	95	17	{	{	PUNCT
ejpam-6835	95	18	∅	∅	NOUN
ejpam-6835	95	19	}	}	PUNCT
ejpam-6835	95	20	for	for	ADP
ejpam-6835	95	21	the	the	DET
ejpam-6835	95	22	collection	collection	NOUN
ejpam-6835	95	23	of	of	ADP
ejpam-6835	95	24	all	all	DET
ejpam-6835	95	25	nonempty	nonempty	ADJ
ejpam-6835	95	26	subsets	subset	NOUN
ejpam-6835	95	27	of	of	ADP
ejpam-6835	95	28	x.	x.	NOUN
ejpam-6835	95	29	fix	fix	NOUN
ejpam-6835	95	30	n	n	PRON
ejpam-6835	95	31	∈	∈	PROPN
ejpam-6835	95	32	n.	n.	NOUN
ejpam-6835	95	33	an	an	DET
ejpam-6835	95	34	n	n	NOUN
ejpam-6835	95	35	-	-	PUNCT
ejpam-6835	95	36	superhypergraph	superhypergraph	NOUN
ejpam-6835	95	37	over	over	ADP
ejpam-6835	95	38	v0	v0	NOUN
ejpam-6835	95	39	is	be	AUX
ejpam-6835	95	40	a	a	DET
ejpam-6835	95	41	pair	pair	NOUN
ejpam-6835	95	42	suhg(n	suhg(n	NOUN
ejpam-6835	95	43	)	)	PUNCT
ejpam-6835	95	44	=	=	SYM
ejpam-6835	95	45	(	(	PUNCT
ejpam-6835	95	46	v	v	NOUN
ejpam-6835	95	47	,	,	PUNCT
ejpam-6835	95	48	e	e	NOUN
ejpam-6835	95	49	)	)	PUNCT
ejpam-6835	95	50	such	such	ADJ
ejpam-6835	95	51	that	that	PRON
ejpam-6835	95	52	v	v	ADP
ejpam-6835	95	53	⊆	⊆	NUM
ejpam-6835	95	54	psn(v0	psn(v0	NOUN
ejpam-6835	95	55	)	)	PUNCT
ejpam-6835	95	56	and	and	CCONJ
ejpam-6835	95	57	e	e	X
ejpam-6835	95	58	⊆	⊆	NUM
ejpam-6835	95	59	ps∗(v	ps∗(v	NOUN
ejpam-6835	95	60	)	)	PUNCT
ejpam-6835	95	61	.	.	PUNCT
ejpam-6835	96	1	elements	element	NOUN
ejpam-6835	96	2	of	of	ADP
ejpam-6835	96	3	v	v	NOUN
ejpam-6835	96	4	are	be	AUX
ejpam-6835	96	5	called	call	VERB
ejpam-6835	96	6	n	n	CCONJ
ejpam-6835	96	7	-	-	PUNCT
ejpam-6835	96	8	supervertices	supervertice	NOUN
ejpam-6835	96	9	;	;	PUNCT
ejpam-6835	96	10	elements	element	NOUN
ejpam-6835	96	11	e	e	NOUN
ejpam-6835	96	12	∈	∈	PROPN
ejpam-6835	96	13	e	e	X
ejpam-6835	96	14	(	(	PUNCT
ejpam-6835	96	15	each	each	PRON
ejpam-6835	96	16	a	a	DET
ejpam-6835	96	17	nonempty	nonempty	NOUN
ejpam-6835	96	18	subset	subset	NOUN
ejpam-6835	96	19	of	of	ADP
ejpam-6835	96	20	v	v	NOUN
ejpam-6835	96	21	)	)	PUNCT
ejpam-6835	96	22	are	be	AUX
ejpam-6835	96	23	called	call	VERB
ejpam-6835	96	24	n	n	CCONJ
ejpam-6835	96	25	-	-	PUNCT
ejpam-6835	96	26	superedges	superedge	NOUN
ejpam-6835	96	27	.	.	PUNCT
ejpam-6835	97	1	example	example	NOUN
ejpam-6835	97	2	2	2	NUM
ejpam-6835	97	3	(	(	PUNCT
ejpam-6835	97	4	small	small	ADJ
ejpam-6835	97	5	company	company	NOUN
ejpam-6835	97	6	as	as	ADP
ejpam-6835	97	7	a	a	DET
ejpam-6835	97	8	2	2	NUM
ejpam-6835	97	9	-	-	PUNCT
ejpam-6835	97	10	superhypergraph	superhypergraph	NOUN
ejpam-6835	97	11	)	)	PUNCT
ejpam-6835	97	12	.	.	PUNCT
ejpam-6835	98	1	let	let	VERB
ejpam-6835	98	2	the	the	DET
ejpam-6835	98	3	base	base	NOUN
ejpam-6835	98	4	set	set	NOUN
ejpam-6835	98	5	of	of	ADP
ejpam-6835	98	6	employees	employee	NOUN
ejpam-6835	98	7	be	be	AUX
ejpam-6835	98	8	v0	v0	NOUN
ejpam-6835	98	9	=	=	SYM
ejpam-6835	98	10	{	{	PUNCT
ejpam-6835	98	11	hiroko	hiroko	PROPN
ejpam-6835	98	12	,	,	PUNCT
ejpam-6835	98	13	yutaka	yutaka	PROPN
ejpam-6835	98	14	,	,	PUNCT
ejpam-6835	98	15	tae	tae	PROPN
ejpam-6835	98	16	,	,	PUNCT
ejpam-6835	98	17	shinya	shinya	PROPN
ejpam-6835	98	18	}	}	PUNCT
ejpam-6835	98	19	.	.	PUNCT
ejpam-6835	99	1	choose	choose	VERB
ejpam-6835	99	2	two	two	NUM
ejpam-6835	99	3	project	project	NOUN
ejpam-6835	99	4	teams	team	NOUN
ejpam-6835	99	5	(	(	PUNCT
ejpam-6835	99	6	elements	element	NOUN
ejpam-6835	99	7	of	of	ADP
ejpam-6835	99	8	ps1(v0	ps1(v0	PROPN
ejpam-6835	99	9	)	)	PUNCT
ejpam-6835	99	10	):	):	PUNCT
ejpam-6835	99	11	g1	g1	PROPN
ejpam-6835	99	12	=	=	SYM
ejpam-6835	99	13	{	{	PUNCT
ejpam-6835	99	14	hiroko	hiroko	NOUN
ejpam-6835	99	15	,	,	PUNCT
ejpam-6835	99	16	tae	tae	PROPN
ejpam-6835	99	17	}	}	PUNCT
ejpam-6835	99	18	,	,	PUNCT
ejpam-6835	99	19	g2	g2	PROPN
ejpam-6835	99	20	=	=	PRON
ejpam-6835	99	21	{	{	PUNCT
ejpam-6835	99	22	yutaka	yutaka	PROPN
ejpam-6835	99	23	,	,	PUNCT
ejpam-6835	99	24	shinya	shinya	PROPN
ejpam-6835	99	25	}	}	PUNCT
ejpam-6835	99	26	.	.	PUNCT
ejpam-6835	100	1	consider	consider	VERB
ejpam-6835	100	2	the	the	DET
ejpam-6835	100	3	following	follow	VERB
ejpam-6835	100	4	2	2	NUM
ejpam-6835	100	5	-	-	PUNCT
ejpam-6835	100	6	supervertex	supervertex	NOUN
ejpam-6835	100	7	set	set	NOUN
ejpam-6835	100	8	(	(	PUNCT
ejpam-6835	100	9	a	a	DET
ejpam-6835	100	10	subset	subset	NOUN
ejpam-6835	100	11	of	of	ADP
ejpam-6835	100	12	ps2(v0	ps2(v0	PROPN
ejpam-6835	100	13	)	)	PUNCT
ejpam-6835	100	14	=	=	SYM
ejpam-6835	100	15	ps(ps(v0	ps(ps(v0	VERB
ejpam-6835	100	16	)	)	PUNCT
ejpam-6835	100	17	)	)	PUNCT
ejpam-6835	100	18	):	):	PUNCT
ejpam-6835	100	19	v	v	X
ejpam-6835	100	20	=	=	PRON
ejpam-6835	100	21	{	{	PUNCT
ejpam-6835	100	22	{	{	PUNCT
ejpam-6835	100	23	g1	g1	PROPN
ejpam-6835	100	24	}	}	PUNCT
ejpam-6835	100	25	,	,	PUNCT
ejpam-6835	100	26	{	{	PUNCT
ejpam-6835	100	27	g2	g2	PROPN
ejpam-6835	100	28	}	}	PUNCT
ejpam-6835	100	29	,	,	PUNCT
ejpam-6835	100	30	{	{	PUNCT
ejpam-6835	100	31	g1	g1	PROPN
ejpam-6835	100	32	,	,	PUNCT
ejpam-6835	100	33	g2	g2	PROPN
ejpam-6835	100	34	}	}	PUNCT
ejpam-6835	100	35	}	}	PUNCT
ejpam-6835	100	36	⊆	⊆	NUM
ejpam-6835	100	37	ps2(v0	ps2(v0	NUM
ejpam-6835	100	38	)	)	PUNCT
ejpam-6835	100	39	.	.	PUNCT
ejpam-6835	101	1	define	define	VERB
ejpam-6835	101	2	superedges	superedge	NOUN
ejpam-6835	101	3	as	as	ADP
ejpam-6835	101	4	nonempty	nonempty	ADJ
ejpam-6835	101	5	subsets	subset	NOUN
ejpam-6835	101	6	of	of	ADP
ejpam-6835	101	7	v	v	NOUN
ejpam-6835	101	8	:	:	PUNCT
ejpam-6835	101	9	e	e	X
ejpam-6835	101	10	=	=	PRON
ejpam-6835	101	11	{	{	PUNCT
ejpam-6835	101	12	{	{	PUNCT
ejpam-6835	101	13	{	{	PUNCT
ejpam-6835	101	14	g1	g1	PROPN
ejpam-6835	101	15	}	}	PUNCT
ejpam-6835	101	16	,	,	PUNCT
ejpam-6835	101	17	{	{	PUNCT
ejpam-6835	101	18	g1	g1	PROPN
ejpam-6835	101	19	,	,	PUNCT
ejpam-6835	101	20	g2	g2	PROPN
ejpam-6835	101	21	}	}	PUNCT
ejpam-6835	101	22	}	}	PUNCT
ejpam-6835	101	23	,	,	PUNCT
ejpam-6835	101	24	{	{	PUNCT
ejpam-6835	101	25	{	{	PUNCT
ejpam-6835	101	26	g2	g2	PROPN
ejpam-6835	101	27	}	}	PUNCT
ejpam-6835	101	28	,	,	PUNCT
ejpam-6835	101	29	{	{	PUNCT
ejpam-6835	101	30	g1	g1	PROPN
ejpam-6835	101	31	,	,	PUNCT
ejpam-6835	101	32	g2	g2	PROPN
ejpam-6835	101	33	}	}	PUNCT
ejpam-6835	101	34	}	}	PUNCT
ejpam-6835	101	35	}	}	PUNCT
ejpam-6835	101	36	⊆	⊆	NUM
ejpam-6835	101	37	ps∗(v	ps∗(v	NOUN
ejpam-6835	101	38	)	)	PUNCT
ejpam-6835	101	39	.	.	PUNCT
ejpam-6835	102	1	then	then	ADV
ejpam-6835	102	2	suhg(2	suhg(2	NOUN
ejpam-6835	102	3	)	)	PUNCT
ejpam-6835	102	4	=	=	PUNCT
ejpam-6835	102	5	(	(	PUNCT
ejpam-6835	102	6	v	v	NOUN
ejpam-6835	102	7	,	,	PUNCT
ejpam-6835	102	8	e	e	NOUN
ejpam-6835	102	9	)	)	PUNCT
ejpam-6835	102	10	is	be	AUX
ejpam-6835	102	11	a	a	DET
ejpam-6835	102	12	valid	valid	ADJ
ejpam-6835	102	13	2	2	NUM
ejpam-6835	102	14	-	-	PUNCT
ejpam-6835	102	15	superhypergraph	superhypergraph	NOUN
ejpam-6835	102	16	.	.	PUNCT
ejpam-6835	103	1	informally	informally	ADV
ejpam-6835	103	2	,	,	PUNCT
ejpam-6835	103	3	{	{	PUNCT
ejpam-6835	103	4	g1	g1	PROPN
ejpam-6835	103	5	}	}	PUNCT
ejpam-6835	103	6	and	and	CCONJ
ejpam-6835	103	7	{	{	PUNCT
ejpam-6835	103	8	g2	g2	PROPN
ejpam-6835	103	9	}	}	PUNCT
ejpam-6835	103	10	are	be	AUX
ejpam-6835	103	11	“	"	PUNCT
ejpam-6835	103	12	single	single	ADJ
ejpam-6835	103	13	–	–	PUNCT
ejpam-6835	103	14	team	team	NOUN
ejpam-6835	103	15	”	"	PUNCT
ejpam-6835	103	16	supervertices	supervertice	NOUN
ejpam-6835	103	17	,	,	PUNCT
ejpam-6835	103	18	{	{	PUNCT
ejpam-6835	103	19	g1	g1	PROPN
ejpam-6835	103	20	,	,	PUNCT
ejpam-6835	103	21	g2	g2	PROPN
ejpam-6835	103	22	}	}	PUNCT
ejpam-6835	103	23	is	be	AUX
ejpam-6835	103	24	a	a	DET
ejpam-6835	103	25	“	"	PUNCT
ejpam-6835	103	26	department	department	NOUN
ejpam-6835	103	27	–	–	PUNCT
ejpam-6835	103	28	level	level	NOUN
ejpam-6835	103	29	”	"	PUNCT
ejpam-6835	103	30	supervertex	supervertex	NOUN
ejpam-6835	103	31	,	,	PUNCT
ejpam-6835	103	32	and	and	CCONJ
ejpam-6835	103	33	each	each	DET
ejpam-6835	103	34	superedge	superedge	NOUN
ejpam-6835	103	35	joins	join	VERB
ejpam-6835	103	36	a	a	DET
ejpam-6835	103	37	team	team	NOUN
ejpam-6835	103	38	to	to	ADP
ejpam-6835	103	39	the	the	DET
ejpam-6835	103	40	department	department	NOUN
ejpam-6835	103	41	–	–	PUNCT
ejpam-6835	103	42	level	level	NOUN
ejpam-6835	103	43	node	node	NOUN
ejpam-6835	103	44	.	.	PUNCT
ejpam-6835	104	1	example	example	NOUN
ejpam-6835	104	2	3	3	NUM
ejpam-6835	104	3	(	(	PUNCT
ejpam-6835	104	4	social	social	ADJ
ejpam-6835	104	5	network	network	NOUN
ejpam-6835	104	6	as	as	ADP
ejpam-6835	104	7	a	a	DET
ejpam-6835	104	8	3	3	NUM
ejpam-6835	104	9	-	-	PUNCT
ejpam-6835	104	10	superhypergraph	superhypergraph	NOUN
ejpam-6835	104	11	)	)	PUNCT
ejpam-6835	104	12	.	.	PUNCT
ejpam-6835	105	1	let	let	VERB
ejpam-6835	105	2	the	the	DET
ejpam-6835	105	3	base	base	NOUN
ejpam-6835	105	4	set	set	NOUN
ejpam-6835	105	5	of	of	ADP
ejpam-6835	105	6	users	user	NOUN
ejpam-6835	105	7	be	be	AUX
ejpam-6835	105	8	v0	v0	NOUN
ejpam-6835	105	9	=	=	SYM
ejpam-6835	105	10	{	{	PUNCT
ejpam-6835	105	11	hiroko	hiroko	PROPN
ejpam-6835	105	12	,	,	PUNCT
ejpam-6835	105	13	yutaka	yutaka	PROPN
ejpam-6835	105	14	,	,	PUNCT
ejpam-6835	105	15	emiko	emiko	PROPN
ejpam-6835	105	16	,	,	PUNCT
ejpam-6835	105	17	kenji	kenji	PROPN
ejpam-6835	105	18	,	,	PUNCT
ejpam-6835	105	19	takashi	takashi	PROPN
ejpam-6835	105	20	}	}	PUNCT
ejpam-6835	105	21	.	.	PUNCT
ejpam-6835	106	1	pick	pick	VERB
ejpam-6835	106	2	some	some	DET
ejpam-6835	106	3	friend	friend	NOUN
ejpam-6835	106	4	groups	group	NOUN
ejpam-6835	106	5	fi	fi	NOUN
ejpam-6835	106	6	∈	∈	PROPN
ejpam-6835	106	7	ps1(v0	ps1(v0	PROPN
ejpam-6835	106	8	)	)	PUNCT
ejpam-6835	106	9	,	,	PUNCT
ejpam-6835	106	10	e.g.	e.g.	ADV
ejpam-6835	106	11	f1	f1	NOUN
ejpam-6835	106	12	=	=	SYM
ejpam-6835	106	13	{	{	PUNCT
ejpam-6835	106	14	hiroko	hiroko	PROPN
ejpam-6835	106	15	,	,	PUNCT
ejpam-6835	106	16	yutaka	yutaka	PROPN
ejpam-6835	106	17	}	}	PUNCT
ejpam-6835	106	18	,	,	PUNCT
ejpam-6835	106	19	f2	f2	PROPN
ejpam-6835	106	20	=	=	SYM
ejpam-6835	106	21	{	{	PUNCT
ejpam-6835	106	22	yutaka	yutaka	PROPN
ejpam-6835	106	23	,	,	PUNCT
ejpam-6835	106	24	emiko	emiko	PROPN
ejpam-6835	106	25	,	,	PUNCT
ejpam-6835	106	26	takashi	takashi	PROPN
ejpam-6835	106	27	}	}	PUNCT
ejpam-6835	106	28	,	,	PUNCT
ejpam-6835	106	29	f3	f3	PROPN
ejpam-6835	106	30	=	=	SYM
ejpam-6835	106	31	{	{	PUNCT
ejpam-6835	106	32	emiko	emiko	PROPN
ejpam-6835	106	33	,	,	PUNCT
ejpam-6835	106	34	kenji	kenji	X
ejpam-6835	106	35	}	}	PUNCT
ejpam-6835	106	36	,	,	PUNCT
ejpam-6835	106	37	f4	f4	PROPN
ejpam-6835	106	38	=	=	SYM
ejpam-6835	106	39	{	{	PUNCT
ejpam-6835	106	40	hiroko	hiroko	NOUN
ejpam-6835	106	41	,	,	PUNCT
ejpam-6835	106	42	takashi	takashi	PROPN
ejpam-6835	106	43	}	}	PUNCT
ejpam-6835	106	44	.	.	PUNCT
ejpam-6835	107	1	form	form	NOUN
ejpam-6835	107	2	communities	community	NOUN
ejpam-6835	107	3	cj	cj	NOUN
ejpam-6835	107	4	∈	∈	PROPN
ejpam-6835	107	5	ps2(v0	ps2(v0	PROPN
ejpam-6835	107	6	)	)	PUNCT
ejpam-6835	107	7	=	=	SYM
ejpam-6835	107	8	ps(ps(v0	ps(ps(v0	VERB
ejpam-6835	107	9	)	)	PUNCT
ejpam-6835	107	10	)	)	PUNCT
ejpam-6835	107	11	,	,	PUNCT
ejpam-6835	107	12	for	for	ADP
ejpam-6835	107	13	instance	instance	NOUN
ejpam-6835	107	14	c1	c1	PROPN
ejpam-6835	107	15	=	=	PROPN
ejpam-6835	107	16	{	{	PUNCT
ejpam-6835	107	17	f1	f1	NOUN
ejpam-6835	107	18	,	,	PUNCT
ejpam-6835	107	19	f2	f2	PROPN
ejpam-6835	107	20	}	}	PUNCT
ejpam-6835	107	21	,	,	PUNCT
ejpam-6835	107	22	c2	c2	PROPN
ejpam-6835	107	23	=	=	SYM
ejpam-6835	107	24	{	{	PUNCT
ejpam-6835	107	25	f2	f2	PROPN
ejpam-6835	107	26	,	,	PUNCT
ejpam-6835	107	27	f3	f3	ADJ
ejpam-6835	107	28	,	,	PUNCT
ejpam-6835	107	29	f4	f4	PROPN
ejpam-6835	107	30	}	}	PUNCT
ejpam-6835	107	31	,	,	PUNCT
ejpam-6835	107	32	c3	c3	PROPN
ejpam-6835	107	33	=	=	PUNCT
ejpam-6835	107	34	{	{	PUNCT
ejpam-6835	107	35	f1	f1	NOUN
ejpam-6835	107	36	,	,	PUNCT
ejpam-6835	107	37	f4	f4	PROPN
ejpam-6835	107	38	}	}	PUNCT
ejpam-6835	107	39	.	.	PUNCT
ejpam-6835	108	1	select	select	VERB
ejpam-6835	108	2	3	3	NUM
ejpam-6835	108	3	-	-	PUNCT
ejpam-6835	108	4	supervertices	supervertice	NOUN
ejpam-6835	108	5	in	in	ADP
ejpam-6835	108	6	ps3(v0	ps3(v0	NOUN
ejpam-6835	108	7	)	)	PUNCT
ejpam-6835	108	8	=	=	SYM
ejpam-6835	109	1	ps(ps2(v0	ps(ps2(v0	VERB
ejpam-6835	109	2	)	)	PUNCT
ejpam-6835	109	3	):	):	PUNCT
ejpam-6835	109	4	v	v	X
ejpam-6835	109	5	=	=	PRON
ejpam-6835	109	6	{	{	PUNCT
ejpam-6835	109	7	{	{	PUNCT
ejpam-6835	109	8	c1	c1	NOUN
ejpam-6835	109	9	}	}	PUNCT
ejpam-6835	109	10	,	,	PUNCT
ejpam-6835	109	11	{	{	PUNCT
ejpam-6835	109	12	c2	c2	PROPN
ejpam-6835	109	13	}	}	PUNCT
ejpam-6835	109	14	,	,	PUNCT
ejpam-6835	109	15	{	{	PUNCT
ejpam-6835	109	16	c1	c1	NOUN
ejpam-6835	109	17	,	,	PUNCT
ejpam-6835	109	18	c2	c2	PROPN
ejpam-6835	109	19	}	}	PUNCT
ejpam-6835	109	20	,	,	PUNCT
ejpam-6835	109	21	{	{	PUNCT
ejpam-6835	109	22	c2	c2	PROPN
ejpam-6835	109	23	,	,	PUNCT
ejpam-6835	109	24	c3	c3	PROPN
ejpam-6835	109	25	}	}	PUNCT
ejpam-6835	109	26	}	}	PUNCT
ejpam-6835	109	27	⊆	⊆	NUM
ejpam-6835	109	28	ps3(v0	ps3(v0	NUM
ejpam-6835	109	29	)	)	PUNCT
ejpam-6835	109	30	.	.	PUNCT
ejpam-6835	110	1	define	define	VERB
ejpam-6835	110	2	superedges	superedge	NOUN
ejpam-6835	110	3	as	as	ADP
ejpam-6835	110	4	nonempty	nonempty	ADJ
ejpam-6835	110	5	subsets	subset	NOUN
ejpam-6835	110	6	of	of	ADP
ejpam-6835	110	7	v	v	NOUN
ejpam-6835	110	8	;	;	PUNCT
ejpam-6835	110	9	for	for	ADP
ejpam-6835	110	10	example	example	NOUN
ejpam-6835	110	11	,	,	PUNCT
ejpam-6835	110	12	e	e	X
ejpam-6835	110	13	=	=	PRON
ejpam-6835	110	14	{	{	PUNCT
ejpam-6835	110	15	{	{	PUNCT
ejpam-6835	110	16	{	{	PUNCT
ejpam-6835	110	17	c1	c1	NOUN
ejpam-6835	110	18	,	,	PUNCT
ejpam-6835	110	19	c2	c2	PROPN
ejpam-6835	110	20	}	}	PUNCT
ejpam-6835	110	21	,	,	PUNCT
ejpam-6835	110	22	{	{	PUNCT
ejpam-6835	110	23	c2	c2	PROPN
ejpam-6835	110	24	,	,	PUNCT
ejpam-6835	110	25	c3	c3	PROPN
ejpam-6835	110	26	}	}	PUNCT
ejpam-6835	110	27	}	}	PUNCT
ejpam-6835	110	28	}	}	PUNCT
ejpam-6835	110	29	⊆	⊆	NUM
ejpam-6835	110	30	ps∗(v	ps∗(v	NOUN
ejpam-6835	110	31	)	)	PUNCT
ejpam-6835	110	32	.	.	PUNCT
ejpam-6835	111	1	then	then	ADV
ejpam-6835	111	2	suhg(3	suhg(3	PROPN
ejpam-6835	111	3	)	)	PUNCT
ejpam-6835	112	1	=	=	PRON
ejpam-6835	112	2	(	(	PUNCT
ejpam-6835	112	3	v	v	NOUN
ejpam-6835	112	4	,	,	PUNCT
ejpam-6835	112	5	e	e	NOUN
ejpam-6835	112	6	)	)	PUNCT
ejpam-6835	112	7	is	be	AUX
ejpam-6835	112	8	a	a	DET
ejpam-6835	112	9	valid	valid	ADJ
ejpam-6835	112	10	3	3	NUM
ejpam-6835	112	11	-	-	PUNCT
ejpam-6835	112	12	superhypergraph	superhypergraph	NOUN
ejpam-6835	112	13	:	:	PUNCT
ejpam-6835	112	14	the	the	DET
ejpam-6835	112	15	chosen	choose	VERB
ejpam-6835	112	16	superedge	superedge	NOUN
ejpam-6835	112	17	links	link	NOUN
ejpam-6835	112	18	two	two	NUM
ejpam-6835	112	19	meta	meta	ADJ
ejpam-6835	112	20	–	–	PUNCT
ejpam-6835	112	21	community	community	NOUN
ejpam-6835	112	22	supervertices	supervertice	NOUN
ejpam-6835	112	23	.	.	PUNCT
ejpam-6835	113	1	t.	t.	PROPN
ejpam-6835	113	2	fujita	fujita	PROPN
ejpam-6835	113	3	,	,	PUNCT
ejpam-6835	113	4	f.	f.	PROPN
ejpam-6835	113	5	smarandache	smarandache	PROPN
ejpam-6835	113	6	/	/	SYM
ejpam-6835	113	7	eur	eur	PROPN
ejpam-6835	113	8	.	.	PUNCT
ejpam-6835	114	1	j.	j.	PROPN
ejpam-6835	114	2	pure	pure	PROPN
ejpam-6835	114	3	appl	appl	PROPN
ejpam-6835	114	4	.	.	PROPN
ejpam-6835	114	5	math	math	PROPN
ejpam-6835	114	6	,	,	PUNCT
ejpam-6835	114	7	18	18	NUM
ejpam-6835	114	8	(	(	PUNCT
ejpam-6835	114	9	4	4	NUM
ejpam-6835	114	10	)	)	PUNCT
ejpam-6835	114	11	(	(	PUNCT
ejpam-6835	114	12	2025	2025	NUM
ejpam-6835	114	13	)	)	PUNCT
ejpam-6835	114	14	,	,	PUNCT
ejpam-6835	114	15	6835	6835	NUM
ejpam-6835	114	16	6	6	NUM
ejpam-6835	114	17	of	of	ADP
ejpam-6835	114	18	29	29	NUM
ejpam-6835	114	19	2.2	2.2	NUM
ejpam-6835	114	20	.	.	PUNCT
ejpam-6835	115	1	random	random	ADJ
ejpam-6835	115	2	graph	graph	NOUN
ejpam-6835	115	3	and	and	CCONJ
ejpam-6835	115	4	random	random	ADJ
ejpam-6835	115	5	hypergraph	hypergraph	NOUN
ejpam-6835	115	6	random	random	ADJ
ejpam-6835	115	7	graphs	graph	NOUN
ejpam-6835	115	8	and	and	CCONJ
ejpam-6835	115	9	hypergraphs	hypergraph	NOUN
ejpam-6835	115	10	provide	provide	VERB
ejpam-6835	115	11	probabilistic	probabilistic	ADJ
ejpam-6835	115	12	frameworks	framework	NOUN
ejpam-6835	115	13	for	for	ADP
ejpam-6835	115	14	modeling	model	VERB
ejpam-6835	115	15	networks	network	NOUN
ejpam-6835	115	16	and	and	CCONJ
ejpam-6835	115	17	higher	high	ADJ
ejpam-6835	115	18	-	-	PUNCT
ejpam-6835	115	19	order	order	NOUN
ejpam-6835	115	20	relationships	relationship	NOUN
ejpam-6835	115	21	.	.	PUNCT
ejpam-6835	116	1	in	in	ADP
ejpam-6835	116	2	the	the	DET
ejpam-6835	116	3	classical	classical	ADJ
ejpam-6835	116	4	erdős	erdős	PROPN
ejpam-6835	116	5	–	–	PUNCT
ejpam-6835	116	6	rényi	rényi	PROPN
ejpam-6835	116	7	model	model	NOUN
ejpam-6835	116	8	,	,	PUNCT
ejpam-6835	116	9	each	each	DET
ejpam-6835	116	10	potential	potential	ADJ
ejpam-6835	116	11	edge	edge	NOUN
ejpam-6835	116	12	between	between	ADP
ejpam-6835	116	13	n	n	ADP
ejpam-6835	116	14	vertices	vertex	NOUN
ejpam-6835	116	15	is	be	AUX
ejpam-6835	116	16	included	include	VERB
ejpam-6835	116	17	independently	independently	ADV
ejpam-6835	116	18	with	with	ADP
ejpam-6835	116	19	probability	probability	NOUN
ejpam-6835	116	20	p	p	X
ejpam-6835	116	21	[	[	X
ejpam-6835	116	22	35	35	NUM
ejpam-6835	116	23	,	,	PUNCT
ejpam-6835	116	24	38	38	NUM
ejpam-6835	116	25	,	,	PUNCT
ejpam-6835	116	26	57	57	NUM
ejpam-6835	116	27	,	,	PUNCT
ejpam-6835	116	28	58	58	NUM
ejpam-6835	116	29	]	]	PUNCT
ejpam-6835	116	30	.	.	PUNCT
ejpam-6835	117	1	the	the	DET
ejpam-6835	117	2	hypergraph	hypergraph	NOUN
ejpam-6835	117	3	analogue	analogue	NOUN
ejpam-6835	117	4	extends	extend	VERB
ejpam-6835	117	5	this	this	PRON
ejpam-6835	117	6	by	by	ADP
ejpam-6835	117	7	treating	treat	VERB
ejpam-6835	117	8	every	every	DET
ejpam-6835	117	9	k	k	ADJ
ejpam-6835	117	10	-	-	ADJ
ejpam-6835	117	11	element	element	ADJ
ejpam-6835	117	12	subset	subset	NOUN
ejpam-6835	117	13	of	of	ADP
ejpam-6835	117	14	the	the	DET
ejpam-6835	117	15	vertex	vertex	NOUN
ejpam-6835	117	16	set	set	VERB
ejpam-6835	117	17	as	as	ADP
ejpam-6835	117	18	a	a	DET
ejpam-6835	117	19	hyperedge	hyperedge	NOUN
ejpam-6835	117	20	,	,	PUNCT
ejpam-6835	117	21	each	each	PRON
ejpam-6835	117	22	included	include	VERB
ejpam-6835	117	23	independently	independently	ADV
ejpam-6835	117	24	with	with	ADP
ejpam-6835	117	25	probability	probability	NOUN
ejpam-6835	117	26	p	p	PROPN
ejpam-6835	118	1	[	[	X
ejpam-6835	118	2	39–41	39–41	NUM
ejpam-6835	118	3	,	,	PUNCT
ejpam-6835	118	4	43	43	NUM
ejpam-6835	118	5	]	]	PUNCT
ejpam-6835	118	6	.	.	PUNCT
ejpam-6835	119	1	the	the	DET
ejpam-6835	119	2	relevant	relevant	ADJ
ejpam-6835	119	3	definitions	definition	NOUN
ejpam-6835	119	4	are	be	AUX
ejpam-6835	119	5	provided	provide	VERB
ejpam-6835	119	6	as	as	ADP
ejpam-6835	119	7	follows	follow	VERB
ejpam-6835	119	8	.	.	PUNCT
ejpam-6835	120	1	definition	definition	NOUN
ejpam-6835	120	2	6	6	NUM
ejpam-6835	120	3	(	(	PUNCT
ejpam-6835	120	4	erdős	erdős	NOUN
ejpam-6835	120	5	–	–	PUNCT
ejpam-6835	120	6	rényi	rényi	NOUN
ejpam-6835	120	7	random	random	ADJ
ejpam-6835	120	8	graph	graph	NOUN
ejpam-6835	120	9	g(n	g(n	PROPN
ejpam-6835	120	10	,	,	PUNCT
ejpam-6835	120	11	p	p	NOUN
ejpam-6835	120	12	)	)	PUNCT
ejpam-6835	120	13	)	)	PUNCT
ejpam-6835	120	14	.	.	PUNCT
ejpam-6835	121	1	(	(	PUNCT
ejpam-6835	121	2	cf.[35	cf.[35	PROPN
ejpam-6835	121	3	,	,	PUNCT
ejpam-6835	121	4	38	38	NUM
ejpam-6835	121	5	]	]	PUNCT
ejpam-6835	121	6	)	)	PUNCT
ejpam-6835	121	7	let	let	VERB
ejpam-6835	121	8	n	n	PRON
ejpam-6835	121	9	∈	∈	PROPN
ejpam-6835	121	10	n	n	NOUN
ejpam-6835	121	11	and	and	CCONJ
ejpam-6835	121	12	p	p	NOUN
ejpam-6835	121	13	∈	∈	PROPN
ejpam-6835	122	1	[	[	X
ejpam-6835	122	2	0	0	NUM
ejpam-6835	122	3	,	,	PUNCT
ejpam-6835	122	4	1	1	NUM
ejpam-6835	122	5	]	]	PUNCT
ejpam-6835	122	6	.	.	PUNCT
ejpam-6835	123	1	the	the	DET
ejpam-6835	123	2	erdős	erdős	NOUN
ejpam-6835	123	3	–	–	PUNCT
ejpam-6835	123	4	rényi	rényi	NOUN
ejpam-6835	123	5	random	random	ADJ
ejpam-6835	123	6	graph	graph	NOUN
ejpam-6835	123	7	g(n	g(n	PROPN
ejpam-6835	123	8	,	,	PUNCT
ejpam-6835	123	9	p	p	X
ejpam-6835	123	10	)	)	PUNCT
ejpam-6835	123	11	is	be	AUX
ejpam-6835	123	12	the	the	DET
ejpam-6835	123	13	probability	probability	NOUN
ejpam-6835	123	14	space	space	NOUN
ejpam-6835	123	15	whose	whose	DET
ejpam-6835	123	16	sample	sample	NOUN
ejpam-6835	123	17	space	space	NOUN
ejpam-6835	123	18	consists	consist	VERB
ejpam-6835	123	19	of	of	ADP
ejpam-6835	123	20	all	all	DET
ejpam-6835	123	21	simple	simple	ADJ
ejpam-6835	123	22	undirected	undirected	ADJ
ejpam-6835	123	23	graphs	graph	NOUN
ejpam-6835	123	24	on	on	ADP
ejpam-6835	123	25	the	the	DET
ejpam-6835	123	26	vertex	vertex	NOUN
ejpam-6835	123	27	set	set	VERB
ejpam-6835	123	28	v	v	NOUN
ejpam-6835	123	29	=	=	SYM
ejpam-6835	123	30	{	{	PUNCT
ejpam-6835	123	31	1	1	NUM
ejpam-6835	123	32	,	,	PUNCT
ejpam-6835	123	33	2	2	NUM
ejpam-6835	123	34	,	,	PUNCT
ejpam-6835	123	35	.	.	PUNCT
ejpam-6835	123	36	.	.	PUNCT
ejpam-6835	123	37	.	.	PUNCT
ejpam-6835	124	1	,	,	PUNCT
ejpam-6835	125	1	n	n	CCONJ
ejpam-6835	125	2	}	}	PUNCT
ejpam-6835	125	3	.	.	PUNCT
ejpam-6835	126	1	each	each	PRON
ejpam-6835	126	2	of	of	ADP
ejpam-6835	126	3	the	the	PRON
ejpam-6835	126	4	(	(	PUNCT
ejpam-6835	126	5	n	n	NOUN
ejpam-6835	126	6	2	2	NUM
ejpam-6835	126	7	)	)	PUNCT
ejpam-6835	126	8	possible	possible	ADJ
ejpam-6835	126	9	edges	edge	NOUN
ejpam-6835	126	10	is	be	AUX
ejpam-6835	126	11	included	include	VERB
ejpam-6835	126	12	independently	independently	ADV
ejpam-6835	126	13	with	with	ADP
ejpam-6835	126	14	probability	probability	NOUN
ejpam-6835	126	15	p.	p.	NOUN
ejpam-6835	126	16	equivalently	equivalently	ADV
ejpam-6835	126	17	,	,	PUNCT
ejpam-6835	126	18	for	for	ADP
ejpam-6835	126	19	any	any	DET
ejpam-6835	126	20	fixed	fix	VERB
ejpam-6835	126	21	graph	graph	NOUN
ejpam-6835	126	22	g	g	PROPN
ejpam-6835	126	23	=	=	SYM
ejpam-6835	126	24	(	(	PUNCT
ejpam-6835	126	25	v	v	NOUN
ejpam-6835	126	26	,	,	PUNCT
ejpam-6835	126	27	e	e	NOUN
ejpam-6835	126	28	)	)	PUNCT
ejpam-6835	126	29	,	,	PUNCT
ejpam-6835	126	30	pr	pr	X
ejpam-6835	126	31	(	(	PUNCT
ejpam-6835	126	32	g(n	g(n	PROPN
ejpam-6835	126	33	,	,	PUNCT
ejpam-6835	126	34	p	p	X
ejpam-6835	126	35	)	)	PUNCT
ejpam-6835	126	36	=	=	SYM
ejpam-6835	126	37	g	g	NOUN
ejpam-6835	126	38	)	)	PUNCT
ejpam-6835	126	39	=	=	SYM
ejpam-6835	127	1	p|e|	p|e|	NOUN
ejpam-6835	127	2	(	(	PUNCT
ejpam-6835	127	3	1−	1−	NUM
ejpam-6835	127	4	p	p	NOUN
ejpam-6835	127	5	)	)	PUNCT
ejpam-6835	127	6	(	(	PUNCT
ejpam-6835	127	7	n	n	NUM
ejpam-6835	127	8	2)−|e|	2)−|e|	NUM
ejpam-6835	127	9	.	.	PUNCT
ejpam-6835	128	1	example	example	NOUN
ejpam-6835	128	2	4	4	NUM
ejpam-6835	128	3	(	(	PUNCT
ejpam-6835	128	4	erdős	erdős	NOUN
ejpam-6835	128	5	–	–	PUNCT
ejpam-6835	128	6	rényi	rényi	NOUN
ejpam-6835	128	7	random	random	ADJ
ejpam-6835	128	8	graph	graph	NOUN
ejpam-6835	128	9	in	in	ADP
ejpam-6835	128	10	a	a	DET
ejpam-6835	128	11	social	social	ADJ
ejpam-6835	128	12	network	network	NOUN
ejpam-6835	128	13	)	)	PUNCT
ejpam-6835	128	14	.	.	PUNCT
ejpam-6835	129	1	suppose	suppose	VERB
ejpam-6835	129	2	we	we	PRON
ejpam-6835	129	3	have	have	VERB
ejpam-6835	129	4	n	n	PRON
ejpam-6835	129	5	users	user	NOUN
ejpam-6835	129	6	on	on	ADP
ejpam-6835	129	7	a	a	DET
ejpam-6835	129	8	social	social	ADJ
ejpam-6835	129	9	platform	platform	NOUN
ejpam-6835	129	10	,	,	PUNCT
ejpam-6835	129	11	labeled	label	VERB
ejpam-6835	129	12	v	v	NOUN
ejpam-6835	129	13	=	=	SYM
ejpam-6835	129	14	{	{	PUNCT
ejpam-6835	129	15	1	1	NUM
ejpam-6835	129	16	,	,	PUNCT
ejpam-6835	129	17	2	2	NUM
ejpam-6835	129	18	,	,	PUNCT
ejpam-6835	129	19	.	.	PUNCT
ejpam-6835	129	20	.	.	PUNCT
ejpam-6835	130	1	.	.	PUNCT
ejpam-6835	130	2	,	,	PUNCT
ejpam-6835	130	3	n	n	CCONJ
ejpam-6835	130	4	}	}	PUNCT
ejpam-6835	130	5	.	.	PUNCT
ejpam-6835	131	1	we	we	PRON
ejpam-6835	131	2	model	model	VERB
ejpam-6835	131	3	friendships	friendship	NOUN
ejpam-6835	131	4	by	by	ADP
ejpam-6835	131	5	the	the	DET
ejpam-6835	131	6	random	random	ADJ
ejpam-6835	131	7	graph	graph	NOUN
ejpam-6835	131	8	g(n	g(n	PROPN
ejpam-6835	131	9	,	,	PUNCT
ejpam-6835	131	10	p	p	X
ejpam-6835	131	11	)	)	PUNCT
ejpam-6835	131	12	where	where	SCONJ
ejpam-6835	131	13	each	each	PRON
ejpam-6835	131	14	of	of	ADP
ejpam-6835	131	15	the	the	PRON
ejpam-6835	131	16	(	(	PUNCT
ejpam-6835	131	17	n	n	NOUN
ejpam-6835	131	18	2	2	NUM
ejpam-6835	131	19	)	)	PUNCT
ejpam-6835	131	20	possible	possible	ADJ
ejpam-6835	131	21	pairs	pair	NOUN
ejpam-6835	131	22	{	{	PUNCT
ejpam-6835	131	23	i	i	PROPN
ejpam-6835	131	24	,	,	PUNCT
ejpam-6835	131	25	j	j	PROPN
ejpam-6835	131	26	}	}	PUNCT
ejpam-6835	131	27	becomes	become	VERB
ejpam-6835	131	28	a	a	DET
ejpam-6835	131	29	friendship	friendship	NOUN
ejpam-6835	131	30	edge	edge	NOUN
ejpam-6835	131	31	independently	independently	ADV
ejpam-6835	131	32	with	with	ADP
ejpam-6835	131	33	probability	probability	NOUN
ejpam-6835	131	34	p.	p.	NOUN
ejpam-6835	131	35	concretely	concretely	ADV
ejpam-6835	131	36	,	,	PUNCT
ejpam-6835	131	37	if	if	SCONJ
ejpam-6835	131	38	e	e	NOUN
ejpam-6835	131	39	=	=	PRON
ejpam-6835	131	40	{	{	PUNCT
ejpam-6835	131	41	{	{	PUNCT
ejpam-6835	131	42	i	i	PROPN
ejpam-6835	131	43	,	,	PUNCT
ejpam-6835	131	44	j	j	PROPN
ejpam-6835	131	45	}	}	PUNCT
ejpam-6835	131	46	:	:	PUNCT
ejpam-6835	131	47	xij	xij	X
ejpam-6835	131	48	=	=	NOUN
ejpam-6835	131	49	1	1	X
ejpam-6835	131	50	}	}	PUNCT
ejpam-6835	131	51	,	,	PUNCT
ejpam-6835	131	52	xij	xij	PROPN
ejpam-6835	131	53	∼	∼	AUX
ejpam-6835	131	54	bernoulli(p	bernoulli(p	NOUN
ejpam-6835	131	55	)	)	PUNCT
ejpam-6835	131	56	,	,	PUNCT
ejpam-6835	131	57	then	then	ADV
ejpam-6835	131	58	pr	pr	X
ejpam-6835	131	59	(	(	PUNCT
ejpam-6835	131	60	g(n	g(n	PROPN
ejpam-6835	131	61	,	,	PUNCT
ejpam-6835	131	62	p	p	X
ejpam-6835	131	63	)	)	PUNCT
ejpam-6835	131	64	=	=	SYM
ejpam-6835	131	65	(	(	PUNCT
ejpam-6835	131	66	v	v	NOUN
ejpam-6835	131	67	,	,	PUNCT
ejpam-6835	131	68	e	e	NOUN
ejpam-6835	131	69	)	)	PUNCT
ejpam-6835	131	70	)	)	PUNCT
ejpam-6835	132	1	=	=	SYM
ejpam-6835	132	2	p|e|	p|e|	NOUN
ejpam-6835	132	3	(	(	PUNCT
ejpam-6835	132	4	1−	1−	NUM
ejpam-6835	132	5	p	p	NOUN
ejpam-6835	132	6	)	)	PUNCT
ejpam-6835	132	7	(	(	PUNCT
ejpam-6835	132	8	n	n	NUM
ejpam-6835	132	9	2)−|e|	2)−|e|	NUM
ejpam-6835	132	10	.	.	PUNCT
ejpam-6835	133	1	here	here	ADV
ejpam-6835	133	2	e[|e|	e[|e|	NOUN
ejpam-6835	133	3	]	]	PUNCT
ejpam-6835	133	4	=	=	SYM
ejpam-6835	133	5	p	p	X
ejpam-6835	133	6	(	(	PUNCT
ejpam-6835	133	7	n	n	NOUN
ejpam-6835	133	8	2	2	NUM
ejpam-6835	133	9	)	)	PUNCT
ejpam-6835	133	10	gives	give	VERB
ejpam-6835	133	11	the	the	DET
ejpam-6835	133	12	expected	expect	VERB
ejpam-6835	133	13	number	number	NOUN
ejpam-6835	133	14	of	of	ADP
ejpam-6835	133	15	friendships	friendship	NOUN
ejpam-6835	133	16	.	.	PUNCT
ejpam-6835	134	1	definition	definition	NOUN
ejpam-6835	134	2	7	7	NUM
ejpam-6835	134	3	(	(	PUNCT
ejpam-6835	134	4	uniform	uniform	ADJ
ejpam-6835	134	5	random	random	ADJ
ejpam-6835	134	6	graph	graph	NOUN
ejpam-6835	134	7	g(n	g(n	PROPN
ejpam-6835	134	8	,	,	PUNCT
ejpam-6835	134	9	m	m	PROPN
ejpam-6835	134	10	)	)	PUNCT
ejpam-6835	134	11	)	)	PUNCT
ejpam-6835	134	12	.	.	PUNCT
ejpam-6835	135	1	(	(	PUNCT
ejpam-6835	135	2	cf.[35	cf.[35	PROPN
ejpam-6835	135	3	,	,	PUNCT
ejpam-6835	135	4	38	38	NUM
ejpam-6835	135	5	]	]	PUNCT
ejpam-6835	135	6	)	)	PUNCT
ejpam-6835	135	7	let	let	VERB
ejpam-6835	135	8	n	n	PRON
ejpam-6835	135	9	,	,	PUNCT
ejpam-6835	135	10	m	m	VERB
ejpam-6835	135	11	∈	∈	NOUN
ejpam-6835	135	12	n	n	NOUN
ejpam-6835	135	13	with	with	ADP
ejpam-6835	135	14	0	0	NUM
ejpam-6835	135	15	≤	≤	NUM
ejpam-6835	135	16	m	m	VERB
ejpam-6835	135	17	≤	≤	NOUN
ejpam-6835	135	18	(	(	PUNCT
ejpam-6835	135	19	n	n	NOUN
ejpam-6835	135	20	2	2	NUM
ejpam-6835	135	21	)	)	PUNCT
ejpam-6835	135	22	.	.	PUNCT
ejpam-6835	136	1	the	the	DET
ejpam-6835	136	2	uniform	uniform	ADJ
ejpam-6835	136	3	random	random	ADJ
ejpam-6835	136	4	graph	graph	NOUN
ejpam-6835	136	5	g(n	g(n	PROPN
ejpam-6835	136	6	,	,	PUNCT
ejpam-6835	136	7	m	m	PROPN
ejpam-6835	136	8	)	)	PUNCT
ejpam-6835	136	9	is	be	AUX
ejpam-6835	136	10	the	the	DET
ejpam-6835	136	11	probability	probability	NOUN
ejpam-6835	136	12	space	space	NOUN
ejpam-6835	136	13	of	of	ADP
ejpam-6835	136	14	all	all	DET
ejpam-6835	136	15	simple	simple	ADJ
ejpam-6835	136	16	graphs	graph	NOUN
ejpam-6835	136	17	on	on	ADP
ejpam-6835	136	18	v	v	NOUN
ejpam-6835	136	19	=	=	SYM
ejpam-6835	136	20	{	{	PUNCT
ejpam-6835	136	21	1	1	NUM
ejpam-6835	136	22	,	,	PUNCT
ejpam-6835	136	23	2	2	NUM
ejpam-6835	136	24	,	,	PUNCT
ejpam-6835	136	25	.	.	PUNCT
ejpam-6835	136	26	.	.	PUNCT
ejpam-6835	137	1	.	.	PUNCT
ejpam-6835	138	1	,	,	PUNCT
ejpam-6835	138	2	n	n	CCONJ
ejpam-6835	138	3	}	}	PUNCT
ejpam-6835	138	4	having	have	VERB
ejpam-6835	138	5	exactly	exactly	ADV
ejpam-6835	138	6	m	m	VERB
ejpam-6835	138	7	edges	edge	NOUN
ejpam-6835	138	8	,	,	PUNCT
ejpam-6835	138	9	each	each	DET
ejpam-6835	138	10	graph	graph	NOUN
ejpam-6835	138	11	being	be	AUX
ejpam-6835	138	12	equally	equally	ADV
ejpam-6835	138	13	likely	likely	ADJ
ejpam-6835	138	14	.	.	PUNCT
ejpam-6835	139	1	thus	thus	ADV
ejpam-6835	139	2	pr	pr	X
ejpam-6835	139	3	(	(	PUNCT
ejpam-6835	139	4	g(n	g(n	PROPN
ejpam-6835	139	5	,	,	PUNCT
ejpam-6835	139	6	m	m	PROPN
ejpam-6835	139	7	)	)	PUNCT
ejpam-6835	139	8	=	=	SYM
ejpam-6835	139	9	g	g	NOUN
ejpam-6835	139	10	)	)	PUNCT
ejpam-6835	139	11	=	=	PUNCT
ejpam-6835	140	1			NOUN
ejpam-6835	140	2	1((n2	1((n2	NUM
ejpam-6835	140	3	)	)	PUNCT
ejpam-6835	140	4	m	m	VERB
ejpam-6835	140	5	)	)	PUNCT
ejpam-6835	140	6	,	,	PUNCT
ejpam-6835	140	7	|e(g)|	|e(g)|	PROPN
ejpam-6835	140	8	=	=	PROPN
ejpam-6835	140	9	m	m	PROPN
ejpam-6835	140	10	,	,	PUNCT
ejpam-6835	140	11	0	0	NUM
ejpam-6835	140	12	,	,	PUNCT
ejpam-6835	140	13	otherwise	otherwise	ADV
ejpam-6835	140	14	.	.	PUNCT
ejpam-6835	141	1	definition	definition	NOUN
ejpam-6835	141	2	8	8	NUM
ejpam-6835	141	3	(	(	PUNCT
ejpam-6835	141	4	k	k	ADJ
ejpam-6835	141	5	-	-	ADJ
ejpam-6835	141	6	uniform	uniform	ADJ
ejpam-6835	141	7	random	random	ADJ
ejpam-6835	141	8	hypergraph	hypergraph	NOUN
ejpam-6835	141	9	hk(n	hk(n	ADP
ejpam-6835	141	10	,	,	PUNCT
ejpam-6835	141	11	p	p	NOUN
ejpam-6835	141	12	)	)	PUNCT
ejpam-6835	141	13	)	)	PUNCT
ejpam-6835	141	14	.	.	PUNCT
ejpam-6835	142	1	let	let	VERB
ejpam-6835	142	2	n	n	PRON
ejpam-6835	142	3	,	,	PUNCT
ejpam-6835	142	4	k	k	PROPN
ejpam-6835	142	5	∈	∈	PROPN
ejpam-6835	142	6	n	n	NOUN
ejpam-6835	142	7	with	with	ADP
ejpam-6835	142	8	1	1	NUM
ejpam-6835	142	9	≤	≤	NUM
ejpam-6835	142	10	k	k	NOUN
ejpam-6835	142	11	≤	≤	NOUN
ejpam-6835	142	12	n	n	CCONJ
ejpam-6835	142	13	and	and	CCONJ
ejpam-6835	142	14	p	p	NOUN
ejpam-6835	142	15	∈	∈	PROPN
ejpam-6835	143	1	[	[	X
ejpam-6835	143	2	0	0	NUM
ejpam-6835	143	3	,	,	PUNCT
ejpam-6835	143	4	1	1	NUM
ejpam-6835	143	5	]	]	PUNCT
ejpam-6835	143	6	.	.	PUNCT
ejpam-6835	144	1	the	the	DET
ejpam-6835	144	2	k	k	ADJ
ejpam-6835	144	3	-	-	PUNCT
ejpam-6835	144	4	uniform	uniform	ADJ
ejpam-6835	144	5	random	random	ADJ
ejpam-6835	144	6	hypergraph	hypergraph	NOUN
ejpam-6835	144	7	hk(n	hk(n	ADP
ejpam-6835	144	8	,	,	PUNCT
ejpam-6835	144	9	p	p	NOUN
ejpam-6835	144	10	)	)	PUNCT
ejpam-6835	144	11	is	be	AUX
ejpam-6835	144	12	the	the	DET
ejpam-6835	144	13	probability	probability	NOUN
ejpam-6835	144	14	space	space	NOUN
ejpam-6835	144	15	whose	whose	DET
ejpam-6835	144	16	sample	sample	NOUN
ejpam-6835	144	17	space	space	NOUN
ejpam-6835	144	18	consists	consist	VERB
ejpam-6835	144	19	of	of	ADP
ejpam-6835	144	20	all	all	DET
ejpam-6835	144	21	k	k	ADJ
ejpam-6835	144	22	-	-	PUNCT
ejpam-6835	144	23	uniform	uniform	ADJ
ejpam-6835	144	24	hypergraphs	hypergraph	NOUN
ejpam-6835	144	25	on	on	ADP
ejpam-6835	144	26	v	v	NOUN
ejpam-6835	144	27	=	=	SYM
ejpam-6835	144	28	{	{	PUNCT
ejpam-6835	144	29	1	1	NUM
ejpam-6835	144	30	,	,	PUNCT
ejpam-6835	144	31	2	2	NUM
ejpam-6835	144	32	,	,	PUNCT
ejpam-6835	144	33	.	.	PUNCT
ejpam-6835	144	34	.	.	PUNCT
ejpam-6835	145	1	.	.	PUNCT
ejpam-6835	146	1	,	,	PUNCT
ejpam-6835	147	1	n	n	CCONJ
ejpam-6835	147	2	}	}	PUNCT
ejpam-6835	147	3	,	,	PUNCT
ejpam-6835	147	4	where	where	SCONJ
ejpam-6835	147	5	each	each	PRON
ejpam-6835	147	6	of	of	ADP
ejpam-6835	147	7	the	the	PRON
ejpam-6835	147	8	(	(	PUNCT
ejpam-6835	147	9	n	n	NOUN
ejpam-6835	147	10	k	k	NOUN
ejpam-6835	147	11	)	)	PUNCT
ejpam-6835	147	12	possible	possible	ADJ
ejpam-6835	147	13	k	k	ADJ
ejpam-6835	147	14	-	-	ADJ
ejpam-6835	147	15	element	element	ADJ
ejpam-6835	147	16	subsets	subset	NOUN
ejpam-6835	147	17	is	be	AUX
ejpam-6835	147	18	included	include	VERB
ejpam-6835	147	19	independently	independently	ADV
ejpam-6835	147	20	with	with	ADP
ejpam-6835	147	21	probability	probability	NOUN
ejpam-6835	147	22	p.	p.	NOUN
ejpam-6835	147	23	equivalently	equivalently	ADV
ejpam-6835	147	24	,	,	PUNCT
ejpam-6835	147	25	for	for	ADP
ejpam-6835	147	26	any	any	DET
ejpam-6835	147	27	fixed	fix	VERB
ejpam-6835	147	28	hypergraph	hypergraph	NOUN
ejpam-6835	147	29	h	h	NOUN
ejpam-6835	147	30	=	=	SYM
ejpam-6835	147	31	(	(	PUNCT
ejpam-6835	147	32	v	v	NOUN
ejpam-6835	147	33	,	,	PUNCT
ejpam-6835	147	34	e	e	NOUN
ejpam-6835	147	35	)	)	PUNCT
ejpam-6835	147	36	with	with	ADP
ejpam-6835	147	37	|e|	|e|	PROPN
ejpam-6835	147	38	=	=	SYM
ejpam-6835	147	39	k	k	PROPN
ejpam-6835	147	40	for	for	ADP
ejpam-6835	147	41	all	all	DET
ejpam-6835	147	42	e	e	PROPN
ejpam-6835	147	43	∈	∈	PROPN
ejpam-6835	147	44	e	e	NOUN
ejpam-6835	147	45	,	,	PUNCT
ejpam-6835	147	46	pr	pr	X
ejpam-6835	147	47	(	(	PUNCT
ejpam-6835	147	48	hk(n	hk(n	ADP
ejpam-6835	147	49	,	,	PUNCT
ejpam-6835	147	50	p	p	NOUN
ejpam-6835	147	51	)	)	PUNCT
ejpam-6835	147	52	=	=	SYM
ejpam-6835	147	53	h	h	NOUN
ejpam-6835	147	54	)	)	PUNCT
ejpam-6835	148	1	=	=	SYM
ejpam-6835	148	2	p|e|	p|e|	ADJ
ejpam-6835	148	3	(	(	PUNCT
ejpam-6835	148	4	1−	1−	NUM
ejpam-6835	148	5	p	p	NOUN
ejpam-6835	148	6	)	)	PUNCT
ejpam-6835	148	7	(	(	PUNCT
ejpam-6835	148	8	n	n	X
ejpam-6835	148	9	k)−|e|	k)−|e|	PROPN
ejpam-6835	148	10	.	.	PUNCT
ejpam-6835	149	1	example	example	NOUN
ejpam-6835	149	2	5	5	NUM
ejpam-6835	149	3	(	(	PUNCT
ejpam-6835	149	4	k	k	ADJ
ejpam-6835	149	5	-	-	ADJ
ejpam-6835	149	6	uniform	uniform	ADJ
ejpam-6835	149	7	random	random	ADJ
ejpam-6835	149	8	hypergraph	hypergraph	NOUN
ejpam-6835	149	9	for	for	ADP
ejpam-6835	149	10	research	research	NOUN
ejpam-6835	149	11	teams	team	NOUN
ejpam-6835	149	12	)	)	PUNCT
ejpam-6835	149	13	.	.	PUNCT
ejpam-6835	150	1	let	let	VERB
ejpam-6835	150	2	n	n	PRON
ejpam-6835	150	3	researchers	researcher	NOUN
ejpam-6835	150	4	form	form	VERB
ejpam-6835	150	5	collaborative	collaborative	ADJ
ejpam-6835	150	6	teams	team	NOUN
ejpam-6835	150	7	of	of	ADP
ejpam-6835	150	8	size	size	NOUN
ejpam-6835	150	9	k.	k.	PROPN
ejpam-6835	150	10	label	label	VERB
ejpam-6835	150	11	them	they	PRON
ejpam-6835	150	12	v	v	NOUN
ejpam-6835	150	13	=	=	SYM
ejpam-6835	150	14	{	{	PUNCT
ejpam-6835	150	15	1	1	NUM
ejpam-6835	150	16	,	,	PUNCT
ejpam-6835	150	17	2	2	NUM
ejpam-6835	150	18	,	,	PUNCT
ejpam-6835	150	19	.	.	PUNCT
ejpam-6835	150	20	.	.	PUNCT
ejpam-6835	151	1	.	.	PUNCT
ejpam-6835	151	2	,	,	PUNCT
ejpam-6835	151	3	n	n	CCONJ
ejpam-6835	151	4	}	}	PUNCT
ejpam-6835	151	5	.	.	PUNCT
ejpam-6835	152	1	in	in	ADP
ejpam-6835	152	2	the	the	DET
ejpam-6835	152	3	k	k	ADJ
ejpam-6835	152	4	-	-	PUNCT
ejpam-6835	152	5	uniform	uniform	ADJ
ejpam-6835	152	6	random	random	ADJ
ejpam-6835	152	7	t.	t.	PROPN
ejpam-6835	152	8	fujita	fujita	PROPN
ejpam-6835	152	9	,	,	PUNCT
ejpam-6835	152	10	f.	f.	PROPN
ejpam-6835	152	11	smarandache	smarandache	PROPN
ejpam-6835	152	12	/	/	SYM
ejpam-6835	152	13	eur	eur	PROPN
ejpam-6835	152	14	.	.	PUNCT
ejpam-6835	153	1	j.	j.	PROPN
ejpam-6835	153	2	pure	pure	PROPN
ejpam-6835	153	3	appl	appl	PROPN
ejpam-6835	153	4	.	.	PROPN
ejpam-6835	153	5	math	math	PROPN
ejpam-6835	153	6	,	,	PUNCT
ejpam-6835	153	7	18	18	NUM
ejpam-6835	153	8	(	(	PUNCT
ejpam-6835	153	9	4	4	NUM
ejpam-6835	153	10	)	)	PUNCT
ejpam-6835	153	11	(	(	PUNCT
ejpam-6835	153	12	2025	2025	NUM
ejpam-6835	153	13	)	)	PUNCT
ejpam-6835	153	14	,	,	PUNCT
ejpam-6835	153	15	6835	6835	NUM
ejpam-6835	153	16	7	7	NUM
ejpam-6835	153	17	of	of	ADP
ejpam-6835	153	18	29	29	NUM
ejpam-6835	153	19	hypergraph	hypergraph	NOUN
ejpam-6835	153	20	hk(n	hk(n	ADP
ejpam-6835	153	21	,	,	PUNCT
ejpam-6835	153	22	p	p	NOUN
ejpam-6835	153	23	)	)	PUNCT
ejpam-6835	153	24	,	,	PUNCT
ejpam-6835	153	25	each	each	DET
ejpam-6835	153	26	possible	possible	ADJ
ejpam-6835	153	27	team	team	NOUN
ejpam-6835	153	28	e	e	PROPN
ejpam-6835	153	29	∈	∈	PROPN
ejpam-6835	153	30	(	(	PUNCT
ejpam-6835	153	31	v	v	NOUN
ejpam-6835	153	32	k	k	PROPN
ejpam-6835	153	33	)	)	PUNCT
ejpam-6835	153	34	is	be	AUX
ejpam-6835	153	35	included	include	VERB
ejpam-6835	153	36	as	as	ADP
ejpam-6835	153	37	a	a	DET
ejpam-6835	153	38	hyperedge	hyperedge	NOUN
ejpam-6835	153	39	independently	independently	ADV
ejpam-6835	153	40	with	with	ADP
ejpam-6835	153	41	probability	probability	NOUN
ejpam-6835	153	42	p.	p.	NOUN
ejpam-6835	153	43	thus	thus	ADV
ejpam-6835	153	44	for	for	ADP
ejpam-6835	153	45	any	any	DET
ejpam-6835	153	46	fixed	fix	VERB
ejpam-6835	153	47	hypergraph	hypergraph	NOUN
ejpam-6835	153	48	(	(	PUNCT
ejpam-6835	153	49	v	v	NOUN
ejpam-6835	153	50	,	,	PUNCT
ejpam-6835	153	51	e	e	NOUN
ejpam-6835	153	52	)	)	PUNCT
ejpam-6835	153	53	with	with	ADP
ejpam-6835	153	54	|e|	|e|	PROPN
ejpam-6835	153	55	=	=	PUNCT
ejpam-6835	153	56	m	m	PROPN
ejpam-6835	153	57	,	,	PUNCT
ejpam-6835	153	58	pr	pr	X
ejpam-6835	153	59	(	(	PUNCT
ejpam-6835	153	60	hk(n	hk(n	ADP
ejpam-6835	153	61	,	,	PUNCT
ejpam-6835	153	62	p	p	NOUN
ejpam-6835	153	63	)	)	PUNCT
ejpam-6835	153	64	=	=	SYM
ejpam-6835	153	65	(	(	PUNCT
ejpam-6835	153	66	v	v	NOUN
ejpam-6835	153	67	,	,	PUNCT
ejpam-6835	153	68	e	e	NOUN
ejpam-6835	153	69	)	)	PUNCT
ejpam-6835	153	70	)	)	PUNCT
ejpam-6835	154	1	=	=	PRON
ejpam-6835	154	2	pm	pm	NOUN
ejpam-6835	154	3	(	(	PUNCT
ejpam-6835	154	4	1−	1−	NUM
ejpam-6835	154	5	p	p	NOUN
ejpam-6835	154	6	)	)	PUNCT
ejpam-6835	154	7	(	(	PUNCT
ejpam-6835	154	8	n	n	PRON
ejpam-6835	154	9	k)−m	k)−m	NOUN
ejpam-6835	154	10	.	.	PUNCT
ejpam-6835	155	1	this	this	DET
ejpam-6835	155	2	models	model	VERB
ejpam-6835	155	3	the	the	DET
ejpam-6835	155	4	random	random	ADJ
ejpam-6835	155	5	formation	formation	NOUN
ejpam-6835	155	6	of	of	ADP
ejpam-6835	155	7	m	m	PROPN
ejpam-6835	155	8	research	research	NOUN
ejpam-6835	155	9	groups	group	NOUN
ejpam-6835	155	10	,	,	PUNCT
ejpam-6835	155	11	each	each	PRON
ejpam-6835	155	12	comprising	comprise	VERB
ejpam-6835	155	13	exactly	exactly	ADV
ejpam-6835	155	14	k	k	PROPN
ejpam-6835	155	15	collaborators	collaborator	NOUN
ejpam-6835	155	16	.	.	PUNCT
ejpam-6835	156	1	example	example	NOUN
ejpam-6835	156	2	6	6	NUM
ejpam-6835	156	3	(	(	PUNCT
ejpam-6835	156	4	k	k	ADJ
ejpam-6835	156	5	-	-	ADJ
ejpam-6835	156	6	uniform	uniform	ADJ
ejpam-6835	156	7	random	random	ADJ
ejpam-6835	156	8	hypergraph	hypergraph	NOUN
ejpam-6835	156	9	in	in	ADP
ejpam-6835	156	10	academic	academic	ADJ
ejpam-6835	156	11	coauthorship	coauthorship	NOUN
ejpam-6835	156	12	)	)	PUNCT
ejpam-6835	156	13	.	.	PUNCT
ejpam-6835	157	1	consider	consider	VERB
ejpam-6835	157	2	a	a	DET
ejpam-6835	157	3	set	set	NOUN
ejpam-6835	157	4	of	of	ADP
ejpam-6835	157	5	n	n	DET
ejpam-6835	157	6	researchers	researcher	NOUN
ejpam-6835	157	7	in	in	ADP
ejpam-6835	157	8	a	a	DET
ejpam-6835	157	9	department	department	NOUN
ejpam-6835	157	10	,	,	PUNCT
ejpam-6835	157	11	labeled	label	VERB
ejpam-6835	157	12	v	v	NOUN
ejpam-6835	157	13	=	=	SYM
ejpam-6835	157	14	{	{	PUNCT
ejpam-6835	157	15	1	1	NUM
ejpam-6835	157	16	,	,	PUNCT
ejpam-6835	157	17	2	2	NUM
ejpam-6835	157	18	,	,	PUNCT
ejpam-6835	157	19	.	.	PUNCT
ejpam-6835	157	20	.	.	PUNCT
ejpam-6835	158	1	.	.	PUNCT
ejpam-6835	158	2	,	,	PUNCT
ejpam-6835	158	3	n	n	CCONJ
ejpam-6835	158	4	}	}	PUNCT
ejpam-6835	158	5	.	.	PUNCT
ejpam-6835	159	1	we	we	PRON
ejpam-6835	159	2	wish	wish	VERB
ejpam-6835	159	3	to	to	PART
ejpam-6835	159	4	model	model	VERB
ejpam-6835	159	5	the	the	DET
ejpam-6835	159	6	random	random	ADJ
ejpam-6835	159	7	formation	formation	NOUN
ejpam-6835	159	8	of	of	ADP
ejpam-6835	159	9	collaborative	collaborative	ADJ
ejpam-6835	159	10	research	research	NOUN
ejpam-6835	159	11	groups	group	NOUN
ejpam-6835	159	12	of	of	ADP
ejpam-6835	159	13	size	size	NOUN
ejpam-6835	159	14	k.	k.	PROPN
ejpam-6835	159	15	in	in	ADP
ejpam-6835	159	16	this	this	DET
ejpam-6835	159	17	scenario	scenario	NOUN
ejpam-6835	159	18	,	,	PUNCT
ejpam-6835	159	19	each	each	DET
ejpam-6835	159	20	possible	possible	ADJ
ejpam-6835	159	21	subset	subset	NOUN
ejpam-6835	159	22	{	{	PUNCT
ejpam-6835	159	23	i1	i1	PROPN
ejpam-6835	159	24	,	,	PUNCT
ejpam-6835	159	25	i2	i2	PROPN
ejpam-6835	159	26	,	,	PUNCT
ejpam-6835	159	27	.	.	PUNCT
ejpam-6835	159	28	.	.	PUNCT
ejpam-6835	160	1	.	.	PUNCT
ejpam-6835	161	1	,	,	PUNCT
ejpam-6835	161	2	ik	ik	PROPN
ejpam-6835	161	3	}	}	PUNCT
ejpam-6835	161	4	⊆	⊆	NUM
ejpam-6835	161	5	v	v	NOUN
ejpam-6835	161	6	of	of	ADP
ejpam-6835	161	7	size	size	NOUN
ejpam-6835	161	8	k	k	PROPN
ejpam-6835	161	9	represents	represent	VERB
ejpam-6835	161	10	a	a	DET
ejpam-6835	161	11	potential	potential	ADJ
ejpam-6835	161	12	coauthorship	coauthorship	NOUN
ejpam-6835	161	13	team	team	NOUN
ejpam-6835	161	14	.	.	PUNCT
ejpam-6835	162	1	in	in	ADP
ejpam-6835	162	2	the	the	DET
ejpam-6835	162	3	k	k	ADJ
ejpam-6835	162	4	-	-	PUNCT
ejpam-6835	162	5	uniform	uniform	ADJ
ejpam-6835	162	6	random	random	ADJ
ejpam-6835	162	7	hypergraph	hypergraph	NOUN
ejpam-6835	162	8	model	model	NOUN
ejpam-6835	162	9	hk(n	hk(n	ADP
ejpam-6835	162	10	,	,	PUNCT
ejpam-6835	162	11	p	p	NOUN
ejpam-6835	162	12	)	)	PUNCT
ejpam-6835	162	13	,	,	PUNCT
ejpam-6835	162	14	each	each	PRON
ejpam-6835	162	15	of	of	ADP
ejpam-6835	162	16	the	the	DET
ejpam-6835	162	17	(	(	PUNCT
ejpam-6835	162	18	n	n	NOUN
ejpam-6835	162	19	k	k	NOUN
ejpam-6835	162	20	)	)	PUNCT
ejpam-6835	162	21	possible	possible	ADJ
ejpam-6835	162	22	k	k	NOUN
ejpam-6835	162	23	-	-	PUNCT
ejpam-6835	162	24	member	member	NOUN
ejpam-6835	162	25	subsets	subset	NOUN
ejpam-6835	162	26	is	be	AUX
ejpam-6835	162	27	included	include	VERB
ejpam-6835	162	28	independently	independently	ADV
ejpam-6835	162	29	as	as	ADP
ejpam-6835	162	30	a	a	DET
ejpam-6835	162	31	hyperedge	hyperedge	NOUN
ejpam-6835	162	32	with	with	ADP
ejpam-6835	162	33	probability	probability	NOUN
ejpam-6835	162	34	p.	p.	NOUN
ejpam-6835	162	35	concretely	concretely	ADV
ejpam-6835	162	36	,	,	PUNCT
ejpam-6835	162	37	let	let	VERB
ejpam-6835	162	38	e	e	NOUN
ejpam-6835	162	39	=	=	PRON
ejpam-6835	162	40	{	{	PUNCT
ejpam-6835	162	41	e	e	PROPN
ejpam-6835	162	42	⊆	⊆	NUM
ejpam-6835	162	43	v	v	NOUN
ejpam-6835	162	44	:	:	PUNCT
ejpam-6835	162	45	|e|	|e|	PROPN
ejpam-6835	162	46	=	=	SYM
ejpam-6835	162	47	k	k	PROPN
ejpam-6835	162	48	and	and	CCONJ
ejpam-6835	162	49	xe	xe	PROPN
ejpam-6835	162	50	=	=	NOUN
ejpam-6835	162	51	1	1	PROPN
ejpam-6835	162	52	}	}	PUNCT
ejpam-6835	162	53	,	,	PUNCT
ejpam-6835	162	54	xe	xe	PROPN
ejpam-6835	162	55	∼	∼	NOUN
ejpam-6835	162	56	bernoulli(p	bernoulli(p	NOUN
ejpam-6835	162	57	)	)	PUNCT
ejpam-6835	162	58	,	,	PUNCT
ejpam-6835	162	59	where	where	SCONJ
ejpam-6835	162	60	xe	xe	PROPN
ejpam-6835	162	61	=	=	SYM
ejpam-6835	162	62	1	1	NUM
ejpam-6835	162	63	indicates	indicate	VERB
ejpam-6835	162	64	that	that	SCONJ
ejpam-6835	162	65	the	the	DET
ejpam-6835	162	66	researchers	researcher	NOUN
ejpam-6835	162	67	in	in	ADP
ejpam-6835	162	68	e	e	NOUN
ejpam-6835	162	69	form	form	VERB
ejpam-6835	162	70	a	a	DET
ejpam-6835	162	71	coauthored	coauthored	ADJ
ejpam-6835	162	72	paper	paper	NOUN
ejpam-6835	162	73	.	.	PUNCT
ejpam-6835	163	1	then	then	ADV
ejpam-6835	163	2	for	for	ADP
ejpam-6835	163	3	any	any	DET
ejpam-6835	163	4	fixed	fix	VERB
ejpam-6835	163	5	hypergraph	hypergraph	NOUN
ejpam-6835	163	6	(	(	PUNCT
ejpam-6835	163	7	v	v	NOUN
ejpam-6835	163	8	,	,	PUNCT
ejpam-6835	163	9	e	e	NOUN
ejpam-6835	163	10	)	)	PUNCT
ejpam-6835	163	11	with	with	ADP
ejpam-6835	163	12	|e|	|e|	PROPN
ejpam-6835	163	13	=	=	SYM
ejpam-6835	163	14	k	k	PROPN
ejpam-6835	163	15	for	for	ADP
ejpam-6835	163	16	all	all	DET
ejpam-6835	163	17	e	e	PROPN
ejpam-6835	163	18	∈	∈	PROPN
ejpam-6835	163	19	e	e	NOUN
ejpam-6835	163	20	,	,	PUNCT
ejpam-6835	163	21	pr	pr	X
ejpam-6835	163	22	(	(	PUNCT
ejpam-6835	163	23	hk(n	hk(n	ADP
ejpam-6835	163	24	,	,	PUNCT
ejpam-6835	163	25	p	p	NOUN
ejpam-6835	163	26	)	)	PUNCT
ejpam-6835	163	27	=	=	SYM
ejpam-6835	163	28	(	(	PUNCT
ejpam-6835	163	29	v	v	NOUN
ejpam-6835	163	30	,	,	PUNCT
ejpam-6835	163	31	e	e	NOUN
ejpam-6835	163	32	)	)	PUNCT
ejpam-6835	163	33	)	)	PUNCT
ejpam-6835	164	1	=	=	PUNCT
ejpam-6835	165	1	p	p	X
ejpam-6835	165	2	|e|	|e|	PROPN
ejpam-6835	165	3	(	(	PUNCT
ejpam-6835	165	4	1−	1−	NUM
ejpam-6835	165	5	p	p	NOUN
ejpam-6835	165	6	)	)	PUNCT
ejpam-6835	165	7	(	(	PUNCT
ejpam-6835	165	8	nk)−|e|	nk)−|e|	NOUN
ejpam-6835	165	9	.	.	PUNCT
ejpam-6835	166	1	thus	thus	ADV
ejpam-6835	166	2	,	,	PUNCT
ejpam-6835	166	3	the	the	DET
ejpam-6835	166	4	random	random	ADJ
ejpam-6835	166	5	hypergraph	hypergraph	NOUN
ejpam-6835	166	6	hk(n	hk(n	ADP
ejpam-6835	166	7	,	,	PUNCT
ejpam-6835	166	8	p	p	NOUN
ejpam-6835	166	9	)	)	PUNCT
ejpam-6835	166	10	captures	capture	VERB
ejpam-6835	166	11	the	the	DET
ejpam-6835	166	12	probability	probability	NOUN
ejpam-6835	166	13	that	that	SCONJ
ejpam-6835	166	14	exactly	exactly	ADV
ejpam-6835	166	15	|e|	|e|	DET
ejpam-6835	166	16	distinct	distinct	ADJ
ejpam-6835	166	17	groups	group	NOUN
ejpam-6835	166	18	of	of	ADP
ejpam-6835	166	19	k	k	PROPN
ejpam-6835	166	20	researchers	researcher	NOUN
ejpam-6835	166	21	collaborate	collaborate	VERB
ejpam-6835	166	22	on	on	ADP
ejpam-6835	166	23	papers	paper	NOUN
ejpam-6835	166	24	,	,	PUNCT
ejpam-6835	166	25	where	where	SCONJ
ejpam-6835	166	26	each	each	DET
ejpam-6835	166	27	group	group	NOUN
ejpam-6835	166	28	forms	form	VERB
ejpam-6835	166	29	independently	independently	ADV
ejpam-6835	166	30	with	with	ADP
ejpam-6835	166	31	probability	probability	NOUN
ejpam-6835	166	32	p.	p.	NOUN
ejpam-6835	166	33	3	3	NUM
ejpam-6835	166	34	.	.	PUNCT
ejpam-6835	166	35	main	main	ADJ
ejpam-6835	166	36	results	result	NOUN
ejpam-6835	166	37	:	:	PUNCT
ejpam-6835	166	38	random	random	ADJ
ejpam-6835	166	39	n	n	CCONJ
ejpam-6835	166	40	-	-	PUNCT
ejpam-6835	166	41	superhypergraph	superhypergraph	NOUN
ejpam-6835	166	42	in	in	ADP
ejpam-6835	166	43	this	this	DET
ejpam-6835	166	44	section	section	NOUN
ejpam-6835	166	45	,	,	PUNCT
ejpam-6835	166	46	we	we	PRON
ejpam-6835	166	47	discuss	discuss	VERB
ejpam-6835	166	48	,	,	PUNCT
ejpam-6835	166	49	as	as	ADP
ejpam-6835	166	50	one	one	NUM
ejpam-6835	166	51	of	of	ADP
ejpam-6835	166	52	the	the	DET
ejpam-6835	166	53	results	result	NOUN
ejpam-6835	166	54	of	of	ADP
ejpam-6835	166	55	this	this	DET
ejpam-6835	166	56	paper	paper	NOUN
ejpam-6835	166	57	,	,	PUNCT
ejpam-6835	166	58	the	the	DET
ejpam-6835	166	59	definition	definition	NOUN
ejpam-6835	166	60	and	and	CCONJ
ejpam-6835	166	61	application	application	NOUN
ejpam-6835	166	62	examples	example	NOUN
ejpam-6835	166	63	of	of	ADP
ejpam-6835	166	64	random	random	ADJ
ejpam-6835	166	65	n	n	CCONJ
ejpam-6835	166	66	-	-	PUNCT
ejpam-6835	166	67	superhypergraph	superhypergraph	NOUN
ejpam-6835	166	68	.	.	PUNCT
ejpam-6835	167	1	3.1	3.1	NUM
ejpam-6835	167	2	.	.	PUNCT
ejpam-6835	167	3	definition	definition	NOUN
ejpam-6835	167	4	of	of	ADP
ejpam-6835	167	5	random	random	ADJ
ejpam-6835	167	6	n	n	CCONJ
ejpam-6835	167	7	-	-	PUNCT
ejpam-6835	167	8	superhypergraph	superhypergraph	NOUN
ejpam-6835	167	9	a	a	DET
ejpam-6835	167	10	random	random	ADJ
ejpam-6835	167	11	n	n	CCONJ
ejpam-6835	167	12	-	-	PUNCT
ejpam-6835	167	13	superhypergraph	superhypergraph	NOUN
ejpam-6835	167	14	is	be	AUX
ejpam-6835	167	15	a	a	DET
ejpam-6835	167	16	probabilistic	probabilistic	ADJ
ejpam-6835	167	17	model	model	NOUN
ejpam-6835	167	18	selecting	select	VERB
ejpam-6835	167	19	each	each	DET
ejpam-6835	167	20	element	element	NOUN
ejpam-6835	167	21	of	of	ADP
ejpam-6835	167	22	n	n	CCONJ
ejpam-6835	167	23	-	-	PUNCT
ejpam-6835	167	24	th	th	ADV
ejpam-6835	167	25	iterated	iterate	VERB
ejpam-6835	167	26	powerset	powerset	NOUN
ejpam-6835	167	27	as	as	ADP
ejpam-6835	167	28	hyperedges	hyperedge	NOUN
ejpam-6835	167	29	independently	independently	ADV
ejpam-6835	167	30	with	with	ADP
ejpam-6835	167	31	probability	probability	NOUN
ejpam-6835	167	32	p.	p.	NOUN
ejpam-6835	167	33	the	the	DET
ejpam-6835	167	34	definition	definition	NOUN
ejpam-6835	167	35	of	of	ADP
ejpam-6835	167	36	the	the	DET
ejpam-6835	167	37	random	random	ADJ
ejpam-6835	167	38	n	n	CCONJ
ejpam-6835	167	39	-	-	PUNCT
ejpam-6835	167	40	superhypergraph	superhypergraph	NOUN
ejpam-6835	167	41	is	be	AUX
ejpam-6835	167	42	given	give	VERB
ejpam-6835	167	43	as	as	SCONJ
ejpam-6835	167	44	follows	follow	VERB
ejpam-6835	167	45	.	.	PUNCT
ejpam-6835	168	1	t.	t.	PROPN
ejpam-6835	168	2	fujita	fujita	PROPN
ejpam-6835	168	3	,	,	PUNCT
ejpam-6835	168	4	f.	f.	PROPN
ejpam-6835	168	5	smarandache	smarandache	PROPN
ejpam-6835	168	6	/	/	SYM
ejpam-6835	168	7	eur	eur	PROPN
ejpam-6835	168	8	.	.	PUNCT
ejpam-6835	169	1	j.	j.	PROPN
ejpam-6835	169	2	pure	pure	PROPN
ejpam-6835	169	3	appl	appl	PROPN
ejpam-6835	169	4	.	.	PROPN
ejpam-6835	169	5	math	math	PROPN
ejpam-6835	169	6	,	,	PUNCT
ejpam-6835	169	7	18	18	NUM
ejpam-6835	169	8	(	(	PUNCT
ejpam-6835	169	9	4	4	NUM
ejpam-6835	169	10	)	)	PUNCT
ejpam-6835	169	11	(	(	PUNCT
ejpam-6835	169	12	2025	2025	NUM
ejpam-6835	169	13	)	)	PUNCT
ejpam-6835	169	14	,	,	PUNCT
ejpam-6835	169	15	6835	6835	NUM
ejpam-6835	169	16	8	8	NUM
ejpam-6835	169	17	of	of	ADP
ejpam-6835	169	18	29	29	NUM
ejpam-6835	169	19	definition	definition	NOUN
ejpam-6835	169	20	9	9	NUM
ejpam-6835	169	21	(	(	PUNCT
ejpam-6835	169	22	random	random	ADJ
ejpam-6835	169	23	n	n	CCONJ
ejpam-6835	169	24	-	-	PUNCT
ejpam-6835	169	25	superhypergraph	superhypergraph	NOUN
ejpam-6835	169	26	suhg(n)(v0	suhg(n)(v0	VERB
ejpam-6835	169	27	,	,	PUNCT
ejpam-6835	169	28	p	p	NOUN
ejpam-6835	169	29	)	)	PUNCT
ejpam-6835	169	30	)	)	PUNCT
ejpam-6835	169	31	.	.	PUNCT
ejpam-6835	170	1	let	let	VERB
ejpam-6835	170	2	v0	v0	NOUN
ejpam-6835	170	3	be	be	AUX
ejpam-6835	170	4	a	a	DET
ejpam-6835	170	5	finite	finite	ADJ
ejpam-6835	170	6	base	base	NOUN
ejpam-6835	170	7	set	set	VERB
ejpam-6835	170	8	with	with	ADP
ejpam-6835	170	9	|v0|	|v0|	NOUN
ejpam-6835	170	10	=	=	SYM
ejpam-6835	171	1	n	n	CCONJ
ejpam-6835	171	2	,	,	PUNCT
ejpam-6835	171	3	let	let	VERB
ejpam-6835	171	4	n	n	PRON
ejpam-6835	171	5	∈	∈	PROPN
ejpam-6835	171	6	n	n	CCONJ
ejpam-6835	171	7	,	,	PUNCT
ejpam-6835	171	8	and	and	CCONJ
ejpam-6835	171	9	fix	fix	VERB
ejpam-6835	171	10	p	p	X
ejpam-6835	171	11	∈	∈	PROPN
ejpam-6835	172	1	[	[	X
ejpam-6835	172	2	0	0	NUM
ejpam-6835	172	3	,	,	PUNCT
ejpam-6835	172	4	1	1	NUM
ejpam-6835	172	5	]	]	PUNCT
ejpam-6835	172	6	.	.	PUNCT
ejpam-6835	173	1	define	define	VERB
ejpam-6835	173	2	v	v	ADP
ejpam-6835	173	3	(	(	PUNCT
ejpam-6835	173	4	n	n	CCONJ
ejpam-6835	173	5	)	)	PUNCT
ejpam-6835	173	6	=	=	SYM
ejpam-6835	174	1	psn(v0	psn(v0	X
ejpam-6835	174	2	)	)	PUNCT
ejpam-6835	174	3	,	,	PUNCT
ejpam-6835	174	4	mn	mn	PROPN
ejpam-6835	174	5	=	=	SYM
ejpam-6835	174	6	∣∣v	∣∣v	PROPN
ejpam-6835	174	7	(	(	PUNCT
ejpam-6835	174	8	n	n	CCONJ
ejpam-6835	174	9	)	)	PUNCT
ejpam-6835	174	10	∣∣	∣∣	X
ejpam-6835	174	11	,	,	PUNCT
ejpam-6835	174	12	qn	qn	PROPN
ejpam-6835	174	13	=	=	PROPN
ejpam-6835	174	14	2mn	2mn	PROPN
ejpam-6835	174	15	−	−	NOUN
ejpam-6835	175	1	1	1	X
ejpam-6835	175	2	.	.	PUNCT
ejpam-6835	176	1	we	we	PRON
ejpam-6835	176	2	view	view	VERB
ejpam-6835	176	3	suhg(n	suhg(n	ADP
ejpam-6835	176	4	)	)	PUNCT
ejpam-6835	176	5	=	=	SYM
ejpam-6835	176	6	(	(	PUNCT
ejpam-6835	176	7	v	v	NOUN
ejpam-6835	176	8	(	(	PUNCT
ejpam-6835	176	9	n	n	CCONJ
ejpam-6835	176	10	)	)	PUNCT
ejpam-6835	176	11	,	,	PUNCT
ejpam-6835	176	12	e	e	X
ejpam-6835	176	13	)	)	PUNCT
ejpam-6835	176	14	as	as	ADP
ejpam-6835	176	15	a	a	DET
ejpam-6835	176	16	hypergraph	hypergraph	NOUN
ejpam-6835	176	17	whose	whose	DET
ejpam-6835	176	18	vertex	vertex	NOUN
ejpam-6835	176	19	set	set	NOUN
ejpam-6835	176	20	is	be	AUX
ejpam-6835	176	21	v	v	NOUN
ejpam-6835	176	22	(	(	PUNCT
ejpam-6835	176	23	n	n	CCONJ
ejpam-6835	176	24	)	)	PUNCT
ejpam-6835	176	25	and	and	CCONJ
ejpam-6835	176	26	whose	whose	DET
ejpam-6835	176	27	edge	edge	NOUN
ejpam-6835	176	28	set	set	NOUN
ejpam-6835	176	29	e	e	NOUN
ejpam-6835	176	30	is	be	AUX
ejpam-6835	176	31	a	a	DET
ejpam-6835	176	32	collection	collection	NOUN
ejpam-6835	176	33	of	of	ADP
ejpam-6835	176	34	nonempty	nonempty	ADJ
ejpam-6835	176	35	subsets	subset	NOUN
ejpam-6835	176	36	of	of	ADP
ejpam-6835	176	37	v	v	NOUN
ejpam-6835	176	38	(	(	PUNCT
ejpam-6835	176	39	n	n	CCONJ
ejpam-6835	176	40	):	):	PUNCT
ejpam-6835	177	1	e	e	PROPN
ejpam-6835	177	2	⊆	⊆	NUM
ejpam-6835	177	3	ps	ps	PROPN
ejpam-6835	177	4	(	(	PUNCT
ejpam-6835	177	5	v	v	NOUN
ejpam-6835	177	6	(	(	PUNCT
ejpam-6835	177	7	n	n	CCONJ
ejpam-6835	177	8	)	)	PUNCT
ejpam-6835	177	9	)	)	PUNCT
ejpam-6835	177	10	\	\	NOUN
ejpam-6835	177	11	{	{	PUNCT
ejpam-6835	177	12	∅	∅	NOUN
ejpam-6835	177	13	}	}	PUNCT
ejpam-6835	177	14	.	.	PUNCT
ejpam-6835	178	1	in	in	ADP
ejpam-6835	178	2	the	the	DET
ejpam-6835	178	3	random	random	ADJ
ejpam-6835	178	4	model	model	NOUN
ejpam-6835	178	5	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	178	6	,	,	PUNCT
ejpam-6835	178	7	p	p	NOUN
ejpam-6835	178	8	)	)	PUNCT
ejpam-6835	178	9	,	,	PUNCT
ejpam-6835	178	10	each	each	PRON
ejpam-6835	178	11	of	of	ADP
ejpam-6835	178	12	the	the	DET
ejpam-6835	178	13	qn	qn	NOUN
ejpam-6835	178	14	possible	possible	ADJ
ejpam-6835	178	15	nonempty	nonempty	NOUN
ejpam-6835	178	16	subsets	subset	NOUN
ejpam-6835	178	17	e	e	NOUN
ejpam-6835	178	18	⊆	⊆	NUM
ejpam-6835	178	19	v	v	ADP
ejpam-6835	178	20	(	(	PUNCT
ejpam-6835	178	21	n	n	CCONJ
ejpam-6835	178	22	)	)	PUNCT
ejpam-6835	178	23	is	be	AUX
ejpam-6835	178	24	included	include	VERB
ejpam-6835	178	25	in	in	ADP
ejpam-6835	178	26	e	e	NOUN
ejpam-6835	178	27	independently	independently	ADV
ejpam-6835	178	28	with	with	ADP
ejpam-6835	178	29	probability	probability	NOUN
ejpam-6835	178	30	p.	p.	NOUN
ejpam-6835	178	31	thus	thus	ADV
ejpam-6835	178	32	for	for	ADP
ejpam-6835	178	33	any	any	DET
ejpam-6835	178	34	fixed	fix	VERB
ejpam-6835	178	35	e	e	NOUN
ejpam-6835	178	36	⊆	⊆	NUM
ejpam-6835	178	37	ps(v	ps(v	NOUN
ejpam-6835	178	38	(	(	PUNCT
ejpam-6835	178	39	n	n	CCONJ
ejpam-6835	178	40	)	)	PUNCT
ejpam-6835	178	41	)	)	PUNCT
ejpam-6835	178	42	\	\	NOUN
ejpam-6835	178	43	{	{	PUNCT
ejpam-6835	178	44	∅	∅	NOUN
ejpam-6835	178	45	}	}	PUNCT
ejpam-6835	178	46	,	,	PUNCT
ejpam-6835	178	47	pr	pr	X
ejpam-6835	178	48	(	(	PUNCT
ejpam-6835	178	49	suhg(n)(v0	suhg(n)(v0	ADJ
ejpam-6835	178	50	,	,	PUNCT
ejpam-6835	178	51	p	p	X
ejpam-6835	178	52	)	)	PUNCT
ejpam-6835	178	53	=	=	SYM
ejpam-6835	178	54	(	(	PUNCT
ejpam-6835	178	55	v	v	NOUN
ejpam-6835	178	56	(	(	PUNCT
ejpam-6835	178	57	n	n	CCONJ
ejpam-6835	178	58	)	)	PUNCT
ejpam-6835	178	59	,	,	PUNCT
ejpam-6835	178	60	e	e	NOUN
ejpam-6835	178	61	)	)	PUNCT
ejpam-6835	178	62	)	)	PUNCT
ejpam-6835	179	1	=	=	SYM
ejpam-6835	179	2	p|e|	p|e|	NOUN
ejpam-6835	179	3	(	(	PUNCT
ejpam-6835	179	4	1−	1−	NUM
ejpam-6835	179	5	p)qn−|e|	p)qn−|e|	NOUN
ejpam-6835	179	6	.	.	PUNCT
ejpam-6835	180	1	3.2	3.2	NUM
ejpam-6835	180	2	.	.	PUNCT
ejpam-6835	180	3	real	real	ADJ
ejpam-6835	180	4	-	-	PUNCT
ejpam-6835	180	5	world	world	NOUN
ejpam-6835	180	6	examples	example	NOUN
ejpam-6835	180	7	of	of	ADP
ejpam-6835	180	8	random	random	ADJ
ejpam-6835	180	9	superhypergraphs	superhypergraph	NOUN
ejpam-6835	180	10	we	we	PRON
ejpam-6835	180	11	begin	begin	VERB
ejpam-6835	180	12	by	by	ADP
ejpam-6835	180	13	exploring	explore	VERB
ejpam-6835	180	14	real	real	ADJ
ejpam-6835	180	15	-	-	PUNCT
ejpam-6835	180	16	world	world	NOUN
ejpam-6835	180	17	scenarios	scenario	NOUN
ejpam-6835	180	18	where	where	SCONJ
ejpam-6835	180	19	random	random	ADJ
ejpam-6835	180	20	superhypergraphs	superhypergraph	NOUN
ejpam-6835	180	21	are	be	AUX
ejpam-6835	180	22	applicable	applicable	ADJ
ejpam-6835	180	23	.	.	PUNCT
ejpam-6835	181	1	several	several	ADJ
ejpam-6835	181	2	concrete	concrete	ADJ
ejpam-6835	181	3	examples	example	NOUN
ejpam-6835	181	4	are	be	AUX
ejpam-6835	181	5	presented	present	VERB
ejpam-6835	181	6	below	below	ADV
ejpam-6835	181	7	.	.	PUNCT
ejpam-6835	182	1	example	example	NOUN
ejpam-6835	182	2	7	7	NUM
ejpam-6835	182	3	(	(	PUNCT
ejpam-6835	182	4	random	random	ADJ
ejpam-6835	182	5	2	2	NUM
ejpam-6835	182	6	-	-	PUNCT
ejpam-6835	182	7	superhypergraph	superhypergraph	NOUN
ejpam-6835	182	8	:	:	PUNCT
ejpam-6835	182	9	company	company	NOUN
ejpam-6835	182	10	task	task	NOUN
ejpam-6835	182	11	-	-	PUNCT
ejpam-6835	182	12	force	force	NOUN
ejpam-6835	182	13	formation	formation	NOUN
ejpam-6835	182	14	)	)	PUNCT
ejpam-6835	182	15	.	.	PUNCT
ejpam-6835	183	1	let	let	VERB
ejpam-6835	183	2	the	the	DET
ejpam-6835	183	3	base	base	NOUN
ejpam-6835	183	4	set	set	NOUN
ejpam-6835	183	5	of	of	ADP
ejpam-6835	183	6	employees	employee	NOUN
ejpam-6835	183	7	be	be	AUX
ejpam-6835	183	8	v0	v0	NOUN
ejpam-6835	183	9	=	=	SYM
ejpam-6835	183	10	{	{	PUNCT
ejpam-6835	183	11	hiroko	hiroko	PROPN
ejpam-6835	183	12	,	,	PUNCT
ejpam-6835	183	13	yutaka	yutaka	PROPN
ejpam-6835	183	14	,	,	PUNCT
ejpam-6835	183	15	tae	tae	PROPN
ejpam-6835	183	16	,	,	PUNCT
ejpam-6835	183	17	shinya	shinya	PROPN
ejpam-6835	183	18	}	}	PUNCT
ejpam-6835	183	19	.	.	PUNCT
ejpam-6835	184	1	then	then	ADV
ejpam-6835	184	2	ps1(v0	ps1(v0	X
ejpam-6835	184	3	)	)	PUNCT
ejpam-6835	185	1	=	=	PRON
ejpam-6835	185	2	{	{	PUNCT
ejpam-6835	185	3	{	{	PUNCT
ejpam-6835	185	4	hiroko	hiroko	NOUN
ejpam-6835	185	5	,	,	PUNCT
ejpam-6835	185	6	tae	tae	PROPN
ejpam-6835	185	7	}	}	PUNCT
ejpam-6835	185	8	,	,	PUNCT
ejpam-6835	185	9	{	{	PUNCT
ejpam-6835	185	10	yutaka	yutaka	PROPN
ejpam-6835	185	11	,	,	PUNCT
ejpam-6835	185	12	shinya	shinya	PROPN
ejpam-6835	185	13	}	}	PUNCT
ejpam-6835	185	14	,	,	PUNCT
ejpam-6835	185	15	.	.	PUNCT
ejpam-6835	185	16	.	.	PUNCT
ejpam-6835	185	17	.	.	PUNCT
ejpam-6835	186	1	}	}	PUNCT
ejpam-6835	186	2	lists	list	VERB
ejpam-6835	186	3	all	all	DET
ejpam-6835	186	4	two	two	NUM
ejpam-6835	186	5	-	-	PUNCT
ejpam-6835	186	6	person	person	NOUN
ejpam-6835	186	7	teams	team	NOUN
ejpam-6835	186	8	.	.	PUNCT
ejpam-6835	187	1	denote	denote	VERB
ejpam-6835	187	2	teamxxx	teamxxx	NOUN
ejpam-6835	187	3	=	=	SYM
ejpam-6835	187	4	{	{	PUNCT
ejpam-6835	187	5	hiroko	hiroko	NOUN
ejpam-6835	187	6	,	,	PUNCT
ejpam-6835	187	7	tae	tae	PROPN
ejpam-6835	187	8	}	}	PUNCT
ejpam-6835	187	9	,	,	PUNCT
ejpam-6835	187	10	teamyyy	teamyyy	NOUN
ejpam-6835	187	11	=	=	PRON
ejpam-6835	187	12	{	{	PUNCT
ejpam-6835	187	13	yutaka	yutaka	PROPN
ejpam-6835	187	14	,	,	PUNCT
ejpam-6835	187	15	shinya	shinya	PROPN
ejpam-6835	187	16	}	}	PUNCT
ejpam-6835	187	17	.	.	PUNCT
ejpam-6835	188	1	next	next	ADJ
ejpam-6835	188	2	,	,	PUNCT
ejpam-6835	188	3	ps2(v0	ps2(v0	PROPN
ejpam-6835	188	4	)	)	PUNCT
ejpam-6835	188	5	=	=	SYM
ejpam-6835	188	6	ps	ps	PROPN
ejpam-6835	188	7	(	(	PUNCT
ejpam-6835	188	8	ps1(v0	ps1(v0	PROPN
ejpam-6835	188	9	)	)	PUNCT
ejpam-6835	188	10	)	)	PUNCT
ejpam-6835	189	1	=	=	PRON
ejpam-6835	189	2	{	{	PUNCT
ejpam-6835	189	3	{	{	PUNCT
ejpam-6835	189	4	teamxxx	teamxxx	NOUN
ejpam-6835	189	5	}	}	PUNCT
ejpam-6835	189	6	,	,	PUNCT
ejpam-6835	189	7	{	{	PUNCT
ejpam-6835	189	8	teamyyy	teamyyy	NOUN
ejpam-6835	189	9	}	}	PUNCT
ejpam-6835	189	10	,	,	PUNCT
ejpam-6835	189	11	{	{	PUNCT
ejpam-6835	189	12	teamxxx	teamxxx	ADJ
ejpam-6835	189	13	,	,	PUNCT
ejpam-6835	189	14	teamyyy	teamyyy	NOUN
ejpam-6835	189	15	}	}	PUNCT
ejpam-6835	189	16	}	}	PUNCT
ejpam-6835	189	17	.	.	PUNCT
ejpam-6835	190	1	we	we	PRON
ejpam-6835	190	2	take	take	VERB
ejpam-6835	190	3	this	this	PRON
ejpam-6835	190	4	as	as	ADP
ejpam-6835	190	5	the	the	DET
ejpam-6835	190	6	supervertex	supervertex	NOUN
ejpam-6835	190	7	set	set	NOUN
ejpam-6835	190	8	:	:	PUNCT
ejpam-6835	190	9	v	v	NOUN
ejpam-6835	190	10	(	(	PUNCT
ejpam-6835	190	11	2	2	NUM
ejpam-6835	190	12	)	)	PUNCT
ejpam-6835	190	13	=	=	PUNCT
ejpam-6835	190	14	ps2(v0	ps2(v0	PROPN
ejpam-6835	190	15	)	)	PUNCT
ejpam-6835	190	16	.	.	PUNCT
ejpam-6835	191	1	t.	t.	PROPN
ejpam-6835	191	2	fujita	fujita	PROPN
ejpam-6835	191	3	,	,	PUNCT
ejpam-6835	191	4	f.	f.	PROPN
ejpam-6835	191	5	smarandache	smarandache	PROPN
ejpam-6835	191	6	/	/	SYM
ejpam-6835	191	7	eur	eur	PROPN
ejpam-6835	191	8	.	.	PUNCT
ejpam-6835	192	1	j.	j.	PROPN
ejpam-6835	192	2	pure	pure	PROPN
ejpam-6835	192	3	appl	appl	PROPN
ejpam-6835	192	4	.	.	PROPN
ejpam-6835	192	5	math	math	PROPN
ejpam-6835	192	6	,	,	PUNCT
ejpam-6835	192	7	18	18	NUM
ejpam-6835	192	8	(	(	PUNCT
ejpam-6835	192	9	4	4	NUM
ejpam-6835	192	10	)	)	PUNCT
ejpam-6835	192	11	(	(	PUNCT
ejpam-6835	192	12	2025	2025	NUM
ejpam-6835	192	13	)	)	PUNCT
ejpam-6835	192	14	,	,	PUNCT
ejpam-6835	192	15	6835	6835	NUM
ejpam-6835	192	16	9	9	NUM
ejpam-6835	192	17	of	of	ADP
ejpam-6835	192	18	29	29	NUM
ejpam-6835	192	19	in	in	ADP
ejpam-6835	192	20	our	our	PRON
ejpam-6835	192	21	corrected	correct	VERB
ejpam-6835	192	22	random	random	ADJ
ejpam-6835	192	23	model	model	NOUN
ejpam-6835	192	24	,	,	PUNCT
ejpam-6835	192	25	each	each	DET
ejpam-6835	192	26	potential	potential	ADJ
ejpam-6835	192	27	hyperedge	hyperedge	NOUN
ejpam-6835	192	28	is	be	AUX
ejpam-6835	192	29	a	a	DET
ejpam-6835	192	30	nonempty	nonempty	ADJ
ejpam-6835	192	31	subset	subset	NOUN
ejpam-6835	192	32	of	of	ADP
ejpam-6835	192	33	v	v	NOUN
ejpam-6835	192	34	(	(	PUNCT
ejpam-6835	192	35	2	2	NUM
ejpam-6835	192	36	)	)	PUNCT
ejpam-6835	192	37	.	.	PUNCT
ejpam-6835	193	1	let	let	VERB
ejpam-6835	193	2	e	e	NOUN
ejpam-6835	193	3	=	=	NOUN
ejpam-6835	193	4	ps	ps	PROPN
ejpam-6835	193	5	(	(	PUNCT
ejpam-6835	193	6	v	v	NOUN
ejpam-6835	193	7	(	(	PUNCT
ejpam-6835	193	8	2	2	NUM
ejpam-6835	193	9	)	)	PUNCT
ejpam-6835	193	10	)	)	PUNCT
ejpam-6835	193	11	\	\	NOUN
ejpam-6835	193	12	{	{	PUNCT
ejpam-6835	193	13	∅	∅	NOUN
ejpam-6835	193	14	}	}	PUNCT
ejpam-6835	193	15	,	,	PUNCT
ejpam-6835	193	16	q2	q2	NOUN
ejpam-6835	193	17	=	=	SYM
ejpam-6835	193	18	2|v	2|v	PROPN
ejpam-6835	193	19	(	(	PUNCT
ejpam-6835	194	1	2)|	2)|	NUM
ejpam-6835	194	2	−	−	NOUN
ejpam-6835	194	3	1	1	NUM
ejpam-6835	194	4	=	=	SYM
ejpam-6835	194	5	7	7	X
ejpam-6835	194	6	.	.	PUNCT
ejpam-6835	195	1	in	in	ADP
ejpam-6835	195	2	suhg(2)(v0	suhg(2)(v0	PROPN
ejpam-6835	195	3	,	,	PUNCT
ejpam-6835	195	4	p	p	NOUN
ejpam-6835	195	5	)	)	PUNCT
ejpam-6835	195	6	,	,	PUNCT
ejpam-6835	195	7	each	each	DET
ejpam-6835	195	8	e	e	PROPN
ejpam-6835	195	9	∈	∈	PROPN
ejpam-6835	195	10	e	e	NOUN
ejpam-6835	195	11	is	be	AUX
ejpam-6835	195	12	included	include	VERB
ejpam-6835	195	13	independently	independently	ADV
ejpam-6835	195	14	with	with	ADP
ejpam-6835	195	15	probability	probability	NOUN
ejpam-6835	195	16	p.	p.	NOUN
ejpam-6835	195	17	thus	thus	ADV
ejpam-6835	195	18	for	for	ADP
ejpam-6835	195	19	any	any	DET
ejpam-6835	195	20	fixed	fix	VERB
ejpam-6835	195	21	e	e	NOUN
ejpam-6835	195	22	⊆	⊆	NUM
ejpam-6835	195	23	e	e	NOUN
ejpam-6835	195	24	,	,	PUNCT
ejpam-6835	195	25	pr	pr	X
ejpam-6835	195	26	(	(	PUNCT
ejpam-6835	195	27	suhg(2)(v0	suhg(2)(v0	PROPN
ejpam-6835	195	28	,	,	PUNCT
ejpam-6835	195	29	p	p	X
ejpam-6835	195	30	)	)	PUNCT
ejpam-6835	195	31	=	=	SYM
ejpam-6835	195	32	(	(	PUNCT
ejpam-6835	195	33	v	v	NOUN
ejpam-6835	195	34	(	(	PUNCT
ejpam-6835	195	35	2	2	NUM
ejpam-6835	195	36	)	)	PUNCT
ejpam-6835	195	37	,	,	PUNCT
ejpam-6835	195	38	e	e	NOUN
ejpam-6835	195	39	)	)	PUNCT
ejpam-6835	195	40	)	)	PUNCT
ejpam-6835	196	1	=	=	SYM
ejpam-6835	196	2	p|e|	p|e|	NOUN
ejpam-6835	196	3	(	(	PUNCT
ejpam-6835	196	4	1−	1−	NUM
ejpam-6835	196	5	p)q2−|e|	p)q2−|e|	NOUN
ejpam-6835	196	6	.	.	PUNCT
ejpam-6835	197	1	for	for	ADP
ejpam-6835	197	2	example	example	NOUN
ejpam-6835	197	3	,	,	PUNCT
ejpam-6835	197	4	the	the	DET
ejpam-6835	197	5	edge	edge	NOUN
ejpam-6835	197	6	{	{	PUNCT
ejpam-6835	197	7	{	{	PUNCT
ejpam-6835	197	8	teamxxx	teamxxx	NOUN
ejpam-6835	197	9	}	}	PUNCT
ejpam-6835	197	10	,	,	PUNCT
ejpam-6835	197	11	{	{	PUNCT
ejpam-6835	197	12	teamxxx	teamxxx	ADJ
ejpam-6835	197	13	,	,	PUNCT
ejpam-6835	197	14	teamyyy	teamyyy	NOUN
ejpam-6835	197	15	}	}	PUNCT
ejpam-6835	197	16	}	}	PUNCT
ejpam-6835	197	17	connects	connect	VERB
ejpam-6835	197	18	the	the	DET
ejpam-6835	197	19	team	team	NOUN
ejpam-6835	197	20	teamxxx	teamxxx	ADJ
ejpam-6835	197	21	with	with	ADP
ejpam-6835	197	22	the	the	DET
ejpam-6835	197	23	department	department	NOUN
ejpam-6835	197	24	-	-	PUNCT
ejpam-6835	197	25	level	level	NOUN
ejpam-6835	197	26	supervertex	supervertex	NOUN
ejpam-6835	197	27	{	{	PUNCT
ejpam-6835	197	28	teamxxx	teamxxx	ADJ
ejpam-6835	197	29	,	,	PUNCT
ejpam-6835	197	30	teamyyy	teamyyy	NOUN
ejpam-6835	197	31	}	}	PUNCT
ejpam-6835	197	32	.	.	PUNCT
ejpam-6835	198	1	example	example	NOUN
ejpam-6835	198	2	8	8	NUM
ejpam-6835	198	3	(	(	PUNCT
ejpam-6835	198	4	random	random	ADJ
ejpam-6835	198	5	2	2	NUM
ejpam-6835	198	6	-	-	PUNCT
ejpam-6835	198	7	superhypergraph	superhypergraph	NOUN
ejpam-6835	198	8	:	:	PUNCT
ejpam-6835	198	9	social	social	ADJ
ejpam-6835	198	10	media	medium	NOUN
ejpam-6835	198	11	community	community	NOUN
ejpam-6835	198	12	formation	formation	NOUN
ejpam-6835	198	13	)	)	PUNCT
ejpam-6835	198	14	.	.	PUNCT
ejpam-6835	199	1	on	on	ADP
ejpam-6835	199	2	a	a	DET
ejpam-6835	199	3	platform	platform	NOUN
ejpam-6835	199	4	with	with	ADP
ejpam-6835	199	5	users	user	NOUN
ejpam-6835	199	6	v0	v0	NOUN
ejpam-6835	199	7	=	=	SYM
ejpam-6835	199	8	{	{	PUNCT
ejpam-6835	199	9	hiroko	hiroko	PROPN
ejpam-6835	199	10	,	,	PUNCT
ejpam-6835	199	11	yutaka	yutaka	PROPN
ejpam-6835	199	12	,	,	PUNCT
ejpam-6835	199	13	tae	tae	PROPN
ejpam-6835	199	14	,	,	PUNCT
ejpam-6835	199	15	shinya	shinya	PROPN
ejpam-6835	199	16	,	,	PUNCT
ejpam-6835	199	17	eve	eve	PROPN
ejpam-6835	199	18	}	}	PUNCT
ejpam-6835	199	19	,	,	PUNCT
ejpam-6835	199	20	the	the	DET
ejpam-6835	199	21	level-1	level-1	NUM
ejpam-6835	199	22	powerset	powerset	NOUN
ejpam-6835	199	23	ps1(v0	ps1(v0	NOUN
ejpam-6835	199	24	)	)	PUNCT
ejpam-6835	199	25	lists	list	VERB
ejpam-6835	199	26	all	all	DET
ejpam-6835	199	27	friend	friend	NOUN
ejpam-6835	199	28	groups	group	NOUN
ejpam-6835	199	29	(	(	PUNCT
ejpam-6835	199	30	e.g.	e.g.	ADV
ejpam-6835	199	31	g1	g1	PROPN
ejpam-6835	199	32	=	=	SYM
ejpam-6835	199	33	{	{	PUNCT
ejpam-6835	199	34	hiroko	hiroko	PROPN
ejpam-6835	199	35	,	,	PUNCT
ejpam-6835	199	36	yutaka	yutaka	PROPN
ejpam-6835	199	37	}	}	PUNCT
ejpam-6835	199	38	,	,	PUNCT
ejpam-6835	199	39	g2	g2	PROPN
ejpam-6835	199	40	=	=	PRON
ejpam-6835	199	41	{	{	PUNCT
ejpam-6835	199	42	yutaka	yutaka	PROPN
ejpam-6835	199	43	,	,	PUNCT
ejpam-6835	199	44	tae	tae	PROPN
ejpam-6835	199	45	,	,	PUNCT
ejpam-6835	199	46	eve	eve	NOUN
ejpam-6835	199	47	}	}	PUNCT
ejpam-6835	199	48	,	,	PUNCT
ejpam-6835	199	49	.	.	PUNCT
ejpam-6835	199	50	.	.	PUNCT
ejpam-6835	199	51	.	.	PUNCT
ejpam-6835	199	52	)	)	PUNCT
ejpam-6835	199	53	.	.	PUNCT
ejpam-6835	200	1	the	the	DET
ejpam-6835	200	2	level-2	level-2	PROPN
ejpam-6835	200	3	powerset	powerset	NOUN
ejpam-6835	200	4	ps2(v0	ps2(v0	PROPN
ejpam-6835	200	5	)	)	PUNCT
ejpam-6835	200	6	collects	collect	VERB
ejpam-6835	200	7	all	all	DET
ejpam-6835	200	8	candidate	candidate	NOUN
ejpam-6835	200	9	communities	community	NOUN
ejpam-6835	200	10	:	:	PUNCT
ejpam-6835	200	11	v	v	X
ejpam-6835	200	12	(	(	PUNCT
ejpam-6835	200	13	2	2	NUM
ejpam-6835	200	14	)	)	PUNCT
ejpam-6835	200	15	=	=	SYM
ejpam-6835	200	16	ps2(v0	ps2(v0	PROPN
ejpam-6835	200	17	)	)	PUNCT
ejpam-6835	200	18	=	=	PRON
ejpam-6835	200	19	{	{	PUNCT
ejpam-6835	200	20	{	{	PUNCT
ejpam-6835	200	21	gi	gi	INTJ
ejpam-6835	200	22	}	}	PUNCT
ejpam-6835	200	23	:	:	PUNCT
ejpam-6835	200	24	gi	gi	X
ejpam-6835	200	25	∈	∈	PROPN
ejpam-6835	200	26	ps1(v0	ps1(v0	PROPN
ejpam-6835	200	27	)	)	PUNCT
ejpam-6835	200	28	}	}	PUNCT
ejpam-6835	200	29	∪	∪	VERB
ejpam-6835	200	30	{	{	PUNCT
ejpam-6835	200	31	{	{	PUNCT
ejpam-6835	200	32	gi	gi	INTJ
ejpam-6835	200	33	,	,	PUNCT
ejpam-6835	200	34	gj	gj	NOUN
ejpam-6835	200	35	}	}	PUNCT
ejpam-6835	200	36	:	:	PUNCT
ejpam-6835	200	37	gi	gi	X
ejpam-6835	200	38	,	,	PUNCT
ejpam-6835	200	39	gj	gj	PROPN
ejpam-6835	200	40	∈	∈	PROPN
ejpam-6835	200	41	ps1(v0	ps1(v0	PROPN
ejpam-6835	200	42	)	)	PUNCT
ejpam-6835	200	43	,	,	PUNCT
ejpam-6835	200	44	i	i	PROPN
ejpam-6835	200	45	̸=	̸=	PROPN
ejpam-6835	200	46	j	j	PROPN
ejpam-6835	200	47	}	}	PUNCT
ejpam-6835	200	48	∪	∪	ADV
ejpam-6835	200	49	.	.	PUNCT
ejpam-6835	200	50	.	.	PUNCT
ejpam-6835	200	51	.	.	PUNCT
ejpam-6835	201	1	.	.	PUNCT
ejpam-6835	202	1	define	define	VERB
ejpam-6835	202	2	the	the	DET
ejpam-6835	202	3	set	set	NOUN
ejpam-6835	202	4	of	of	ADP
ejpam-6835	202	5	all	all	DET
ejpam-6835	202	6	nonempty	nonempty	ADJ
ejpam-6835	202	7	hyperedges	hyperedge	NOUN
ejpam-6835	202	8	e	e	NOUN
ejpam-6835	202	9	=	=	SYM
ejpam-6835	202	10	ps(v	ps(v	NOUN
ejpam-6835	202	11	(	(	PUNCT
ejpam-6835	202	12	2	2	NUM
ejpam-6835	202	13	)	)	PUNCT
ejpam-6835	202	14	)	)	PUNCT
ejpam-6835	202	15	\	\	NOUN
ejpam-6835	202	16	{	{	PUNCT
ejpam-6835	202	17	∅	∅	NOUN
ejpam-6835	202	18	}	}	PUNCT
ejpam-6835	202	19	.	.	PUNCT
ejpam-6835	203	1	in	in	ADP
ejpam-6835	203	2	the	the	DET
ejpam-6835	203	3	random	random	ADJ
ejpam-6835	203	4	model	model	NOUN
ejpam-6835	203	5	suhg(2)(v0	suhg(2)(v0	PROPN
ejpam-6835	203	6	,	,	PUNCT
ejpam-6835	203	7	p	p	NOUN
ejpam-6835	203	8	)	)	PUNCT
ejpam-6835	203	9	,	,	PUNCT
ejpam-6835	203	10	each	each	DET
ejpam-6835	203	11	e	e	PROPN
ejpam-6835	203	12	∈	∈	PROPN
ejpam-6835	203	13	e	e	NOUN
ejpam-6835	203	14	appears	appear	VERB
ejpam-6835	203	15	independently	independently	ADV
ejpam-6835	203	16	with	with	ADP
ejpam-6835	203	17	probability	probability	NOUN
ejpam-6835	203	18	p.	p.	NOUN
ejpam-6835	203	19	concretely	concretely	ADV
ejpam-6835	203	20	,	,	PUNCT
ejpam-6835	203	21	for	for	ADP
ejpam-6835	203	22	any	any	DET
ejpam-6835	203	23	chosen	choose	VERB
ejpam-6835	203	24	e	e	NOUN
ejpam-6835	203	25	⊆	⊆	NUM
ejpam-6835	203	26	e	e	NOUN
ejpam-6835	203	27	,	,	PUNCT
ejpam-6835	203	28	pr	pr	X
ejpam-6835	203	29	(	(	PUNCT
ejpam-6835	203	30	suhg(2)(v0	suhg(2)(v0	PROPN
ejpam-6835	203	31	,	,	PUNCT
ejpam-6835	203	32	p	p	X
ejpam-6835	203	33	)	)	PUNCT
ejpam-6835	203	34	=	=	SYM
ejpam-6835	203	35	(	(	PUNCT
ejpam-6835	203	36	v	v	NOUN
ejpam-6835	203	37	(	(	PUNCT
ejpam-6835	203	38	2	2	NUM
ejpam-6835	203	39	)	)	PUNCT
ejpam-6835	203	40	,	,	PUNCT
ejpam-6835	203	41	e	e	NOUN
ejpam-6835	203	42	)	)	PUNCT
ejpam-6835	203	43	)	)	PUNCT
ejpam-6835	204	1	=	=	SYM
ejpam-6835	204	2	p|e|	p|e|	NOUN
ejpam-6835	204	3	(	(	PUNCT
ejpam-6835	204	4	1−	1−	NUM
ejpam-6835	204	5	p	p	NOUN
ejpam-6835	204	6	)	)	PUNCT
ejpam-6835	204	7	|e|−|e|	|e|−|e|	PROPN
ejpam-6835	204	8	.	.	PUNCT
ejpam-6835	205	1	an	an	DET
ejpam-6835	205	2	example	example	NOUN
ejpam-6835	205	3	hyperedge	hyperedge	NOUN
ejpam-6835	205	4	{	{	PUNCT
ejpam-6835	205	5	{	{	PUNCT
ejpam-6835	205	6	g1	g1	PROPN
ejpam-6835	205	7	}	}	PUNCT
ejpam-6835	205	8	,	,	PUNCT
ejpam-6835	205	9	{	{	PUNCT
ejpam-6835	205	10	g1	g1	PROPN
ejpam-6835	205	11	,	,	PUNCT
ejpam-6835	205	12	g2	g2	PROPN
ejpam-6835	205	13	}	}	PUNCT
ejpam-6835	205	14	}	}	PUNCT
ejpam-6835	205	15	connects	connect	VERB
ejpam-6835	205	16	a	a	DET
ejpam-6835	205	17	single	single	ADJ
ejpam-6835	205	18	friend	friend	NOUN
ejpam-6835	205	19	group	group	NOUN
ejpam-6835	205	20	g1	g1	PROPN
ejpam-6835	205	21	with	with	ADP
ejpam-6835	205	22	a	a	DET
ejpam-6835	205	23	larger	large	ADJ
ejpam-6835	205	24	community	community	NOUN
ejpam-6835	205	25	{	{	PUNCT
ejpam-6835	205	26	g1	g1	PROPN
ejpam-6835	205	27	,	,	PUNCT
ejpam-6835	205	28	g2	g2	PROPN
ejpam-6835	205	29	}	}	PUNCT
ejpam-6835	205	30	.	.	PUNCT
ejpam-6835	206	1	example	example	NOUN
ejpam-6835	206	2	9	9	NUM
ejpam-6835	206	3	(	(	PUNCT
ejpam-6835	206	4	random	random	ADJ
ejpam-6835	206	5	3	3	NUM
ejpam-6835	206	6	-	-	PUNCT
ejpam-6835	206	7	superhypergraph	superhypergraph	NOUN
ejpam-6835	206	8	:	:	PUNCT
ejpam-6835	206	9	manufacturing	manufacture	VERB
ejpam-6835	206	10	product	product	NOUN
ejpam-6835	206	11	lines	line	NOUN
ejpam-6835	206	12	)	)	PUNCT
ejpam-6835	206	13	.	.	PUNCT
ejpam-6835	207	1	let	let	VERB
ejpam-6835	207	2	basic	basic	ADJ
ejpam-6835	207	3	components	component	NOUN
ejpam-6835	207	4	be	be	AUX
ejpam-6835	207	5	{	{	PUNCT
ejpam-6835	207	6	bolt	bolt	NOUN
ejpam-6835	207	7	,	,	PUNCT
ejpam-6835	207	8	nut	nut	NOUN
ejpam-6835	207	9	,	,	PUNCT
ejpam-6835	207	10	plate	plate	NOUN
ejpam-6835	207	11	,	,	PUNCT
ejpam-6835	207	12	gear	gear	NOUN
ejpam-6835	207	13	}	}	PUNCT
ejpam-6835	207	14	.	.	PUNCT
ejpam-6835	208	1	then	then	ADV
ejpam-6835	208	2	ps1	ps1	PROPN
ejpam-6835	208	3	lists	list	VERB
ejpam-6835	208	4	all	all	DET
ejpam-6835	208	5	modules	module	NOUN
ejpam-6835	208	6	(	(	PUNCT
ejpam-6835	208	7	e.g.	e.g.	ADV
ejpam-6835	208	8	{	{	PUNCT
ejpam-6835	208	9	bolt	bolt	NOUN
ejpam-6835	208	10	,	,	PUNCT
ejpam-6835	208	11	nut	nut	NOUN
ejpam-6835	208	12	}	}	PUNCT
ejpam-6835	208	13	)	)	PUNCT
ejpam-6835	208	14	,	,	PUNCT
ejpam-6835	208	15	ps2	ps2	PROPN
ejpam-6835	208	16	lists	list	VERB
ejpam-6835	208	17	all	all	DET
ejpam-6835	208	18	subassemblies	subassemblie	NOUN
ejpam-6835	208	19	(	(	PUNCT
ejpam-6835	208	20	e.g.	e.g.	ADV
ejpam-6835	208	21	{	{	PUNCT
ejpam-6835	208	22	module1,module2	module1,module2	NOUN
ejpam-6835	208	23	}	}	PUNCT
ejpam-6835	208	24	)	)	PUNCT
ejpam-6835	208	25	,	,	PUNCT
ejpam-6835	208	26	and	and	CCONJ
ejpam-6835	208	27	ps3	ps3	NOUN
ejpam-6835	208	28	lists	list	NOUN
ejpam-6835	208	29	all	all	DET
ejpam-6835	208	30	products	product	NOUN
ejpam-6835	208	31	(	(	PUNCT
ejpam-6835	208	32	e.g.	e.g.	ADV
ejpam-6835	208	33	{	{	PUNCT
ejpam-6835	208	34	subasm	subasm	NOUN
ejpam-6835	208	35	}	}	PUNCT
ejpam-6835	208	36	)	)	PUNCT
ejpam-6835	208	37	.	.	PUNCT
ejpam-6835	209	1	setting	set	VERB
ejpam-6835	209	2	v	v	NOUN
ejpam-6835	209	3	(	(	PUNCT
ejpam-6835	209	4	3	3	NUM
ejpam-6835	209	5	)	)	PUNCT
ejpam-6835	209	6	=	=	PUNCT
ejpam-6835	209	7	ps3(v0	ps3(v0	NUM
ejpam-6835	209	8	)	)	PUNCT
ejpam-6835	209	9	,	,	PUNCT
ejpam-6835	209	10	e	e	X
ejpam-6835	209	11	=	=	SYM
ejpam-6835	209	12	ps(v	ps(v	NOUN
ejpam-6835	209	13	(	(	PUNCT
ejpam-6835	209	14	3	3	NUM
ejpam-6835	209	15	)	)	PUNCT
ejpam-6835	209	16	)	)	PUNCT
ejpam-6835	209	17	\	\	NOUN
ejpam-6835	210	1	{	{	PUNCT
ejpam-6835	210	2	∅	∅	NOUN
ejpam-6835	210	3	}	}	PUNCT
ejpam-6835	210	4	,	,	PUNCT
ejpam-6835	210	5	the	the	DET
ejpam-6835	210	6	random	random	ADJ
ejpam-6835	210	7	model	model	NOUN
ejpam-6835	210	8	suhg(3)(v0	suhg(3)(v0	PROPN
ejpam-6835	210	9	,	,	PUNCT
ejpam-6835	210	10	p	p	NOUN
ejpam-6835	210	11	)	)	PUNCT
ejpam-6835	210	12	includes	include	VERB
ejpam-6835	210	13	each	each	DET
ejpam-6835	210	14	e	e	NOUN
ejpam-6835	210	15	∈	∈	PROPN
ejpam-6835	210	16	e	e	X
ejpam-6835	210	17	independently	independently	ADV
ejpam-6835	210	18	with	with	ADP
ejpam-6835	210	19	probability	probability	NOUN
ejpam-6835	210	20	p	p	X
ejpam-6835	210	21	:	:	PUNCT
ejpam-6835	210	22	pr	pr	X
ejpam-6835	210	23	(	(	PUNCT
ejpam-6835	210	24	suhg(3)(v0	suhg(3)(v0	PROPN
ejpam-6835	210	25	,	,	PUNCT
ejpam-6835	210	26	p	p	NOUN
ejpam-6835	210	27	)	)	PUNCT
ejpam-6835	210	28	=	=	SYM
ejpam-6835	210	29	(	(	PUNCT
ejpam-6835	210	30	v	v	NOUN
ejpam-6835	210	31	(	(	PUNCT
ejpam-6835	210	32	3	3	NUM
ejpam-6835	210	33	)	)	PUNCT
ejpam-6835	210	34	,	,	PUNCT
ejpam-6835	210	35	e	e	NOUN
ejpam-6835	210	36	)	)	PUNCT
ejpam-6835	210	37	)	)	PUNCT
ejpam-6835	211	1	=	=	SYM
ejpam-6835	211	2	p|e|	p|e|	NOUN
ejpam-6835	211	3	(	(	PUNCT
ejpam-6835	211	4	1−	1−	NUM
ejpam-6835	211	5	p	p	NOUN
ejpam-6835	211	6	)	)	PUNCT
ejpam-6835	211	7	|e|−|e|	|e|−|e|	PROPN
ejpam-6835	211	8	.	.	PUNCT
ejpam-6835	212	1	here	here	ADV
ejpam-6835	212	2	a	a	DET
ejpam-6835	212	3	hyperedge	hyperedge	NOUN
ejpam-6835	212	4	such	such	ADJ
ejpam-6835	212	5	as	as	ADP
ejpam-6835	212	6	{	{	PUNCT
ejpam-6835	212	7	{	{	PUNCT
ejpam-6835	212	8	subasm	subasm	NOUN
ejpam-6835	212	9	}	}	PUNCT
ejpam-6835	212	10	,	,	PUNCT
ejpam-6835	212	11	{	{	PUNCT
ejpam-6835	212	12	subasm	subasm	NOUN
ejpam-6835	212	13	,	,	PUNCT
ejpam-6835	212	14	otherasm	otherasm	NOUN
ejpam-6835	212	15	}	}	PUNCT
ejpam-6835	212	16	}	}	PUNCT
ejpam-6835	212	17	links	link	VERB
ejpam-6835	212	18	different	different	ADJ
ejpam-6835	212	19	product	product	NOUN
ejpam-6835	212	20	variants	variant	NOUN
ejpam-6835	212	21	.	.	PUNCT
ejpam-6835	213	1	t.	t.	PROPN
ejpam-6835	213	2	fujita	fujita	PROPN
ejpam-6835	213	3	,	,	PUNCT
ejpam-6835	213	4	f.	f.	PROPN
ejpam-6835	213	5	smarandache	smarandache	PROPN
ejpam-6835	213	6	/	/	SYM
ejpam-6835	213	7	eur	eur	PROPN
ejpam-6835	213	8	.	.	PUNCT
ejpam-6835	214	1	j.	j.	PROPN
ejpam-6835	214	2	pure	pure	PROPN
ejpam-6835	214	3	appl	appl	PROPN
ejpam-6835	214	4	.	.	PROPN
ejpam-6835	214	5	math	math	PROPN
ejpam-6835	214	6	,	,	PUNCT
ejpam-6835	214	7	18	18	NUM
ejpam-6835	214	8	(	(	PUNCT
ejpam-6835	214	9	4	4	NUM
ejpam-6835	214	10	)	)	PUNCT
ejpam-6835	214	11	(	(	PUNCT
ejpam-6835	214	12	2025	2025	NUM
ejpam-6835	214	13	)	)	PUNCT
ejpam-6835	214	14	,	,	PUNCT
ejpam-6835	214	15	6835	6835	NUM
ejpam-6835	214	16	10	10	NUM
ejpam-6835	214	17	of	of	ADP
ejpam-6835	214	18	29	29	NUM
ejpam-6835	214	19	example	example	NOUN
ejpam-6835	214	20	10	10	NUM
ejpam-6835	214	21	(	(	PUNCT
ejpam-6835	214	22	social	social	ADJ
ejpam-6835	214	23	networks	network	NOUN
ejpam-6835	214	24	:	:	PUNCT
ejpam-6835	214	25	overlapping	overlap	VERB
ejpam-6835	214	26	community	community	NOUN
ejpam-6835	214	27	formation	formation	NOUN
ejpam-6835	214	28	)	)	PUNCT
ejpam-6835	214	29	.	.	PUNCT
ejpam-6835	215	1	let	let	VERB
ejpam-6835	215	2	v0	v0	NOUN
ejpam-6835	215	3	=	=	SYM
ejpam-6835	215	4	{	{	PUNCT
ejpam-6835	215	5	alice	alice	PROPN
ejpam-6835	215	6	,	,	PUNCT
ejpam-6835	215	7	bob	bob	PROPN
ejpam-6835	215	8	,	,	PUNCT
ejpam-6835	215	9	carol	carol	PROPN
ejpam-6835	215	10	,	,	PUNCT
ejpam-6835	215	11	dave	dave	PROPN
ejpam-6835	215	12	,	,	PUNCT
ejpam-6835	215	13	eve	eve	PROPN
ejpam-6835	215	14	}	}	PUNCT
ejpam-6835	215	15	.	.	PUNCT
ejpam-6835	216	1	ps1(v0	ps1(v0	PROPN
ejpam-6835	216	2	)	)	PUNCT
ejpam-6835	216	3	lists	list	VERB
ejpam-6835	216	4	all	all	DET
ejpam-6835	216	5	friend	friend	NOUN
ejpam-6835	216	6	circles	circle	NOUN
ejpam-6835	216	7	(	(	PUNCT
ejpam-6835	216	8	e.g.	e.g.	ADV
ejpam-6835	216	9	g1	g1	PROPN
ejpam-6835	216	10	=	=	SYM
ejpam-6835	216	11	{	{	PUNCT
ejpam-6835	216	12	alice	alice	PROPN
ejpam-6835	216	13	,	,	PUNCT
ejpam-6835	216	14	bob	bob	PROPN
ejpam-6835	216	15	}	}	PUNCT
ejpam-6835	216	16	,	,	PUNCT
ejpam-6835	216	17	g2	g2	PROPN
ejpam-6835	216	18	=	=	PRON
ejpam-6835	216	19	{	{	PUNCT
ejpam-6835	216	20	bob	bob	PROPN
ejpam-6835	216	21	,	,	PUNCT
ejpam-6835	216	22	carol	carol	NOUN
ejpam-6835	216	23	,	,	PUNCT
ejpam-6835	216	24	eve	eve	NOUN
ejpam-6835	216	25	}	}	PUNCT
ejpam-6835	216	26	,	,	PUNCT
ejpam-6835	216	27	.	.	PUNCT
ejpam-6835	216	28	.	.	PUNCT
ejpam-6835	216	29	.	.	PUNCT
ejpam-6835	216	30	)	)	PUNCT
ejpam-6835	216	31	.	.	PUNCT
ejpam-6835	217	1	then	then	ADV
ejpam-6835	217	2	ps2(v0	ps2(v0	NUM
ejpam-6835	217	3	)	)	PUNCT
ejpam-6835	217	4	=	=	SYM
ejpam-6835	217	5	ps	ps	PROPN
ejpam-6835	217	6	(	(	PUNCT
ejpam-6835	217	7	ps1(v0	ps1(v0	PROPN
ejpam-6835	217	8	)	)	PUNCT
ejpam-6835	217	9	)	)	PUNCT
ejpam-6835	217	10	collects	collect	VERB
ejpam-6835	217	11	all	all	DET
ejpam-6835	217	12	candidate	candidate	NOUN
ejpam-6835	217	13	communities	community	NOUN
ejpam-6835	217	14	,	,	PUNCT
ejpam-6835	217	15	for	for	ADP
ejpam-6835	217	16	instance	instance	NOUN
ejpam-6835	217	17	comm1	comm1	NOUN
ejpam-6835	217	18	=	=	PRON
ejpam-6835	217	19	{	{	PUNCT
ejpam-6835	217	20	g1	g1	PROPN
ejpam-6835	217	21	,	,	PUNCT
ejpam-6835	217	22	g2	g2	PROPN
ejpam-6835	217	23	}	}	PUNCT
ejpam-6835	217	24	,	,	PUNCT
ejpam-6835	217	25	comm2	comm2	NOUN
ejpam-6835	217	26	=	=	SYM
ejpam-6835	217	27	{	{	PUNCT
ejpam-6835	217	28	g2	g2	PROPN
ejpam-6835	217	29	,	,	PUNCT
ejpam-6835	217	30	g3	g3	PROPN
ejpam-6835	217	31	}	}	PUNCT
ejpam-6835	217	32	,	,	PUNCT
ejpam-6835	217	33	etc	etc	X
ejpam-6835	217	34	.	.	X
ejpam-6835	218	1	set	set	VERB
ejpam-6835	218	2	v	v	NOUN
ejpam-6835	218	3	(	(	PUNCT
ejpam-6835	218	4	2	2	NUM
ejpam-6835	218	5	)	)	PUNCT
ejpam-6835	218	6	=	=	PUNCT
ejpam-6835	218	7	ps2(v0	ps2(v0	PROPN
ejpam-6835	218	8	)	)	PUNCT
ejpam-6835	218	9	,	,	PUNCT
ejpam-6835	218	10	e	e	X
ejpam-6835	218	11	=	=	SYM
ejpam-6835	218	12	ps(v	ps(v	NOUN
ejpam-6835	218	13	(	(	PUNCT
ejpam-6835	218	14	2	2	NUM
ejpam-6835	218	15	)	)	PUNCT
ejpam-6835	218	16	)	)	PUNCT
ejpam-6835	218	17	\	\	NOUN
ejpam-6835	218	18	{	{	PUNCT
ejpam-6835	218	19	∅	∅	NOUN
ejpam-6835	218	20	}	}	PUNCT
ejpam-6835	218	21	,	,	PUNCT
ejpam-6835	218	22	q2	q2	NOUN
ejpam-6835	218	23	=	=	SYM
ejpam-6835	218	24	2|v	2|v	PROPN
ejpam-6835	218	25	(	(	PUNCT
ejpam-6835	218	26	2)|	2)|	NUM
ejpam-6835	219	1	−	−	NOUN
ejpam-6835	219	2	1	1	NUM
ejpam-6835	219	3	.	.	PUNCT
ejpam-6835	220	1	in	in	ADP
ejpam-6835	220	2	the	the	DET
ejpam-6835	220	3	random	random	ADJ
ejpam-6835	220	4	model	model	NOUN
ejpam-6835	220	5	suhg(2)(v0	suhg(2)(v0	PROPN
ejpam-6835	220	6	,	,	PUNCT
ejpam-6835	220	7	p	p	NOUN
ejpam-6835	220	8	)	)	PUNCT
ejpam-6835	220	9	,	,	PUNCT
ejpam-6835	220	10	each	each	DET
ejpam-6835	220	11	e	e	PROPN
ejpam-6835	220	12	∈	∈	PROPN
ejpam-6835	220	13	e	e	NOUN
ejpam-6835	220	14	is	be	AUX
ejpam-6835	220	15	included	include	VERB
ejpam-6835	220	16	independently	independently	ADV
ejpam-6835	220	17	with	with	ADP
ejpam-6835	220	18	probability	probability	NOUN
ejpam-6835	220	19	p.	p.	NOUN
ejpam-6835	220	20	thus	thus	ADV
ejpam-6835	220	21	,	,	PUNCT
ejpam-6835	220	22	for	for	ADP
ejpam-6835	220	23	any	any	DET
ejpam-6835	220	24	fixed	fix	VERB
ejpam-6835	220	25	hyperedge	hyperedge	NOUN
ejpam-6835	220	26	set	set	VERB
ejpam-6835	220	27	e	e	NOUN
ejpam-6835	220	28	⊆	⊆	NUM
ejpam-6835	220	29	e	e	NOUN
ejpam-6835	220	30	,	,	PUNCT
ejpam-6835	220	31	pr	pr	X
ejpam-6835	220	32	(	(	PUNCT
ejpam-6835	220	33	suhg(2)(v0	suhg(2)(v0	PROPN
ejpam-6835	220	34	,	,	PUNCT
ejpam-6835	220	35	p	p	X
ejpam-6835	220	36	)	)	PUNCT
ejpam-6835	220	37	=	=	SYM
ejpam-6835	220	38	(	(	PUNCT
ejpam-6835	220	39	v	v	NOUN
ejpam-6835	220	40	(	(	PUNCT
ejpam-6835	220	41	2	2	NUM
ejpam-6835	220	42	)	)	PUNCT
ejpam-6835	220	43	,	,	PUNCT
ejpam-6835	220	44	e	e	NOUN
ejpam-6835	220	45	)	)	PUNCT
ejpam-6835	220	46	)	)	PUNCT
ejpam-6835	221	1	=	=	SYM
ejpam-6835	221	2	p|e|(1−	p|e|(1−	X
ejpam-6835	221	3	p)q2−|e|	p)q2−|e|	NOUN
ejpam-6835	221	4	.	.	PUNCT
ejpam-6835	222	1	here	here	ADV
ejpam-6835	222	2	each	each	DET
ejpam-6835	222	3	selected	select	VERB
ejpam-6835	222	4	e	e	NOUN
ejpam-6835	222	5	represents	represent	VERB
ejpam-6835	222	6	an	an	DET
ejpam-6835	222	7	active	active	ADJ
ejpam-6835	222	8	overlapping	overlap	VERB
ejpam-6835	222	9	community	community	NOUN
ejpam-6835	222	10	of	of	ADP
ejpam-6835	222	11	friend	friend	NOUN
ejpam-6835	222	12	circles	circle	NOUN
ejpam-6835	222	13	at	at	ADP
ejpam-6835	222	14	a	a	DET
ejpam-6835	222	15	given	give	VERB
ejpam-6835	222	16	time	time	NOUN
ejpam-6835	222	17	.	.	PUNCT
ejpam-6835	223	1	example	example	NOUN
ejpam-6835	223	2	11	11	NUM
ejpam-6835	223	3	(	(	PUNCT
ejpam-6835	223	4	biology	biology	NOUN
ejpam-6835	223	5	:	:	PUNCT
ejpam-6835	223	6	protein	protein	NOUN
ejpam-6835	223	7	complexes	complex	NOUN
ejpam-6835	223	8	,	,	PUNCT
ejpam-6835	223	9	pathways	pathway	NOUN
ejpam-6835	223	10	,	,	PUNCT
ejpam-6835	223	11	and	and	CCONJ
ejpam-6835	223	12	systems	system	NOUN
ejpam-6835	223	13	)	)	PUNCT
ejpam-6835	223	14	.	.	PUNCT
ejpam-6835	224	1	let	let	VERB
ejpam-6835	224	2	v0	v0	NOUN
ejpam-6835	224	3	=	=	SYM
ejpam-6835	224	4	{	{	PUNCT
ejpam-6835	224	5	a	a	DET
ejpam-6835	224	6	,	,	PUNCT
ejpam-6835	224	7	b	b	NOUN
ejpam-6835	224	8	,	,	PUNCT
ejpam-6835	224	9	c	c	NOUN
ejpam-6835	224	10	,	,	PUNCT
ejpam-6835	224	11	d	d	AUX
ejpam-6835	224	12	}	}	PUNCT
ejpam-6835	224	13	be	be	AUX
ejpam-6835	224	14	proteins	protein	NOUN
ejpam-6835	224	15	.	.	PUNCT
ejpam-6835	225	1	then	then	ADV
ejpam-6835	225	2	ps1(v0	ps1(v0	X
ejpam-6835	225	3	)	)	PUNCT
ejpam-6835	225	4	=	=	PRON
ejpam-6835	225	5	{	{	PUNCT
ejpam-6835	225	6	{	{	PUNCT
ejpam-6835	225	7	a	a	PROPN
ejpam-6835	225	8	,	,	PUNCT
ejpam-6835	225	9	b	b	NOUN
ejpam-6835	225	10	}	}	PUNCT
ejpam-6835	225	11	,	,	PUNCT
ejpam-6835	225	12	{	{	PUNCT
ejpam-6835	225	13	b	b	X
ejpam-6835	225	14	,	,	PUNCT
ejpam-6835	225	15	c	c	NOUN
ejpam-6835	225	16	}	}	PUNCT
ejpam-6835	225	17	,	,	PUNCT
ejpam-6835	225	18	{	{	PUNCT
ejpam-6835	225	19	c	c	X
ejpam-6835	225	20	,	,	PUNCT
ejpam-6835	225	21	d	d	NOUN
ejpam-6835	225	22	}	}	PUNCT
ejpam-6835	225	23	,	,	PUNCT
ejpam-6835	225	24	.	.	PUNCT
ejpam-6835	225	25	.	.	PUNCT
ejpam-6835	225	26	.	.	PUNCT
ejpam-6835	226	1	}	}	PUNCT
ejpam-6835	226	2	lists	list	VERB
ejpam-6835	226	3	all	all	DET
ejpam-6835	226	4	protein	protein	NOUN
ejpam-6835	226	5	complexes	complex	NOUN
ejpam-6835	226	6	,	,	PUNCT
ejpam-6835	226	7	e.g.	e.g.	ADV
ejpam-6835	226	8	cpx1	cpx1	PROPN
ejpam-6835	226	9	=	=	SYM
ejpam-6835	226	10	{	{	PUNCT
ejpam-6835	226	11	a	a	DET
ejpam-6835	226	12	,	,	PUNCT
ejpam-6835	226	13	b	b	NOUN
ejpam-6835	226	14	}	}	PUNCT
ejpam-6835	226	15	,	,	PUNCT
ejpam-6835	226	16	cpx2	cpx2	PROPN
ejpam-6835	226	17	=	=	SYM
ejpam-6835	226	18	{	{	PUNCT
ejpam-6835	226	19	b	b	NOUN
ejpam-6835	226	20	,	,	PUNCT
ejpam-6835	226	21	c	c	NOUN
ejpam-6835	226	22	}	}	PUNCT
ejpam-6835	226	23	.	.	PUNCT
ejpam-6835	227	1	next	next	ADV
ejpam-6835	227	2	,	,	PUNCT
ejpam-6835	227	3	ps2(v0	ps2(v0	PROPN
ejpam-6835	227	4	)	)	PUNCT
ejpam-6835	227	5	=	=	SYM
ejpam-6835	227	6	ps	ps	PROPN
ejpam-6835	227	7	(	(	PUNCT
ejpam-6835	227	8	ps1(v0	ps1(v0	PROPN
ejpam-6835	227	9	)	)	PUNCT
ejpam-6835	227	10	)	)	PUNCT
ejpam-6835	227	11	lists	list	VERB
ejpam-6835	227	12	all	all	DET
ejpam-6835	227	13	pathways	pathway	NOUN
ejpam-6835	227	14	(	(	PUNCT
ejpam-6835	227	15	collections	collection	NOUN
ejpam-6835	227	16	of	of	ADP
ejpam-6835	227	17	complexes	complex	NOUN
ejpam-6835	227	18	)	)	PUNCT
ejpam-6835	227	19	,	,	PUNCT
ejpam-6835	227	20	e.g.	e.g.	ADV
ejpam-6835	227	21	path1	path1	X
ejpam-6835	228	1	=	=	SYM
ejpam-6835	228	2	{	{	PUNCT
ejpam-6835	228	3	cpx1,cpx2	cpx1,cpx2	NOUN
ejpam-6835	228	4	}	}	PUNCT
ejpam-6835	228	5	,	,	PUNCT
ejpam-6835	228	6	path2	path2	NOUN
ejpam-6835	228	7	=	=	PRON
ejpam-6835	228	8	{	{	PUNCT
ejpam-6835	228	9	cpx2,cpx3	cpx2,cpx3	NOUN
ejpam-6835	228	10	}	}	PUNCT
ejpam-6835	228	11	.	.	PUNCT
ejpam-6835	229	1	finally	finally	ADV
ejpam-6835	229	2	,	,	PUNCT
ejpam-6835	229	3	ps3(v0	ps3(v0	NUM
ejpam-6835	229	4	)	)	PUNCT
ejpam-6835	229	5	=	=	SYM
ejpam-6835	229	6	ps	ps	PROPN
ejpam-6835	229	7	(	(	PUNCT
ejpam-6835	229	8	ps2(v0	ps2(v0	PROPN
ejpam-6835	229	9	)	)	PUNCT
ejpam-6835	229	10	)	)	PUNCT
ejpam-6835	229	11	lists	list	VERB
ejpam-6835	229	12	all	all	DET
ejpam-6835	229	13	systems	system	NOUN
ejpam-6835	229	14	(	(	PUNCT
ejpam-6835	229	15	collections	collection	NOUN
ejpam-6835	229	16	of	of	ADP
ejpam-6835	229	17	pathways	pathway	NOUN
ejpam-6835	229	18	)	)	PUNCT
ejpam-6835	229	19	,	,	PUNCT
ejpam-6835	229	20	for	for	ADP
ejpam-6835	229	21	example	example	NOUN
ejpam-6835	229	22	sysα	sysα	NOUN
ejpam-6835	229	23	=	=	SYM
ejpam-6835	229	24	{	{	PUNCT
ejpam-6835	229	25	path1,path2	path1,path2	PROPN
ejpam-6835	229	26	}	}	PUNCT
ejpam-6835	229	27	.	.	PUNCT
ejpam-6835	230	1	set	set	VERB
ejpam-6835	230	2	v	v	NOUN
ejpam-6835	230	3	(	(	PUNCT
ejpam-6835	230	4	3	3	NUM
ejpam-6835	230	5	)	)	PUNCT
ejpam-6835	230	6	=	=	PUNCT
ejpam-6835	230	7	ps3(v0	ps3(v0	NUM
ejpam-6835	230	8	)	)	PUNCT
ejpam-6835	230	9	,	,	PUNCT
ejpam-6835	230	10	e	e	X
ejpam-6835	230	11	=	=	SYM
ejpam-6835	230	12	ps(v	ps(v	NOUN
ejpam-6835	230	13	(	(	PUNCT
ejpam-6835	230	14	3	3	NUM
ejpam-6835	230	15	)	)	PUNCT
ejpam-6835	230	16	)	)	PUNCT
ejpam-6835	230	17	\	\	NOUN
ejpam-6835	230	18	{	{	PUNCT
ejpam-6835	230	19	∅	∅	NOUN
ejpam-6835	230	20	}	}	PUNCT
ejpam-6835	230	21	,	,	PUNCT
ejpam-6835	230	22	q3	q3	PROPN
ejpam-6835	230	23	=	=	PROPN
ejpam-6835	230	24	2|v	2|v	PROPN
ejpam-6835	230	25	(	(	PUNCT
ejpam-6835	230	26	3)|	3)|	NUM
ejpam-6835	230	27	−	−	NOUN
ejpam-6835	230	28	1	1	X
ejpam-6835	230	29	.	.	PUNCT
ejpam-6835	231	1	in	in	ADP
ejpam-6835	231	2	suhg(3)(v0	suhg(3)(v0	PROPN
ejpam-6835	231	3	,	,	PUNCT
ejpam-6835	231	4	p	p	NOUN
ejpam-6835	231	5	)	)	PUNCT
ejpam-6835	231	6	,	,	PUNCT
ejpam-6835	231	7	each	each	DET
ejpam-6835	231	8	potential	potential	ADJ
ejpam-6835	231	9	system	system	NOUN
ejpam-6835	231	10	e	e	X
ejpam-6835	231	11	∈	∈	NOUN
ejpam-6835	231	12	e	e	NOUN
ejpam-6835	231	13	is	be	AUX
ejpam-6835	231	14	active	active	ADJ
ejpam-6835	231	15	independently	independently	ADV
ejpam-6835	231	16	with	with	ADP
ejpam-6835	231	17	probability	probability	NOUN
ejpam-6835	231	18	p.	p.	NOUN
ejpam-6835	231	19	hence	hence	ADV
ejpam-6835	231	20	for	for	ADP
ejpam-6835	231	21	any	any	DET
ejpam-6835	231	22	chosen	choose	VERB
ejpam-6835	231	23	edge	edge	NOUN
ejpam-6835	231	24	-	-	PUNCT
ejpam-6835	231	25	set	set	VERB
ejpam-6835	231	26	e	e	NOUN
ejpam-6835	231	27	⊆	⊆	NUM
ejpam-6835	231	28	e	e	NOUN
ejpam-6835	231	29	,	,	PUNCT
ejpam-6835	231	30	pr	pr	X
ejpam-6835	231	31	(	(	PUNCT
ejpam-6835	231	32	suhg(3)(v0	suhg(3)(v0	PROPN
ejpam-6835	231	33	,	,	PUNCT
ejpam-6835	231	34	p	p	NOUN
ejpam-6835	231	35	)	)	PUNCT
ejpam-6835	231	36	=	=	SYM
ejpam-6835	231	37	(	(	PUNCT
ejpam-6835	231	38	v	v	NOUN
ejpam-6835	231	39	(	(	PUNCT
ejpam-6835	231	40	3	3	NUM
ejpam-6835	231	41	)	)	PUNCT
ejpam-6835	231	42	,	,	PUNCT
ejpam-6835	231	43	e	e	NOUN
ejpam-6835	231	44	)	)	PUNCT
ejpam-6835	231	45	)	)	PUNCT
ejpam-6835	231	46	=	=	SYM
ejpam-6835	232	1	p|e|(1−	p|e|(1−	X
ejpam-6835	232	2	p)q3−|e|	p)q3−|e|	ADV
ejpam-6835	232	3	.	.	PUNCT
ejpam-6835	233	1	each	each	DET
ejpam-6835	233	2	selected	select	VERB
ejpam-6835	233	3	e	e	NOUN
ejpam-6835	233	4	models	model	VERB
ejpam-6835	233	5	a	a	DET
ejpam-6835	233	6	functional	functional	ADJ
ejpam-6835	233	7	biological	biological	ADJ
ejpam-6835	233	8	system	system	NOUN
ejpam-6835	233	9	formed	form	VERB
ejpam-6835	233	10	by	by	ADP
ejpam-6835	233	11	randomly	randomly	ADV
ejpam-6835	233	12	activated	activate	VERB
ejpam-6835	233	13	pathways	pathway	NOUN
ejpam-6835	233	14	of	of	ADP
ejpam-6835	233	15	protein	protein	NOUN
ejpam-6835	233	16	complexes	complex	NOUN
ejpam-6835	233	17	.	.	PUNCT
ejpam-6835	234	1	t.	t.	PROPN
ejpam-6835	234	2	fujita	fujita	PROPN
ejpam-6835	234	3	,	,	PUNCT
ejpam-6835	234	4	f.	f.	PROPN
ejpam-6835	234	5	smarandache	smarandache	PROPN
ejpam-6835	234	6	/	/	SYM
ejpam-6835	234	7	eur	eur	PROPN
ejpam-6835	234	8	.	.	PUNCT
ejpam-6835	235	1	j.	j.	PROPN
ejpam-6835	235	2	pure	pure	PROPN
ejpam-6835	235	3	appl	appl	PROPN
ejpam-6835	235	4	.	.	PROPN
ejpam-6835	235	5	math	math	PROPN
ejpam-6835	235	6	,	,	PUNCT
ejpam-6835	235	7	18	18	NUM
ejpam-6835	235	8	(	(	PUNCT
ejpam-6835	235	9	4	4	NUM
ejpam-6835	235	10	)	)	PUNCT
ejpam-6835	235	11	(	(	PUNCT
ejpam-6835	235	12	2025	2025	NUM
ejpam-6835	235	13	)	)	PUNCT
ejpam-6835	235	14	,	,	PUNCT
ejpam-6835	235	15	6835	6835	NUM
ejpam-6835	235	16	11	11	NUM
ejpam-6835	235	17	of	of	ADP
ejpam-6835	235	18	29	29	NUM
ejpam-6835	235	19	3.3	3.3	NUM
ejpam-6835	235	20	.	.	PUNCT
ejpam-6835	236	1	properties	property	NOUN
ejpam-6835	236	2	and	and	CCONJ
ejpam-6835	236	3	theorems	theorem	NOUN
ejpam-6835	236	4	of	of	ADP
ejpam-6835	236	5	random	random	ADJ
ejpam-6835	236	6	superhypergraphs	superhypergraph	NOUN
ejpam-6835	236	7	this	this	DET
ejpam-6835	236	8	subsection	subsection	NOUN
ejpam-6835	236	9	presents	present	VERB
ejpam-6835	236	10	the	the	DET
ejpam-6835	236	11	fundamental	fundamental	ADJ
ejpam-6835	236	12	properties	property	NOUN
ejpam-6835	236	13	and	and	CCONJ
ejpam-6835	236	14	theoretical	theoretical	ADJ
ejpam-6835	236	15	results	result	NOUN
ejpam-6835	236	16	related	relate	VERB
ejpam-6835	236	17	to	to	ADP
ejpam-6835	236	18	random	random	ADJ
ejpam-6835	236	19	superhypergraphs	superhypergraph	NOUN
ejpam-6835	236	20	.	.	PUNCT
ejpam-6835	237	1	theorem	theorem	ADJ
ejpam-6835	237	2	1	1	NUM
ejpam-6835	237	3	(	(	PUNCT
ejpam-6835	237	4	generalization	generalization	NOUN
ejpam-6835	237	5	of	of	ADP
ejpam-6835	237	6	g(n	g(n	PROPN
ejpam-6835	237	7	,	,	PUNCT
ejpam-6835	237	8	p	p	NOUN
ejpam-6835	237	9	)	)	PUNCT
ejpam-6835	237	10	and	and	CCONJ
ejpam-6835	237	11	hk(n	hk(n	NUM
ejpam-6835	237	12	,	,	PUNCT
ejpam-6835	237	13	p	p	NOUN
ejpam-6835	237	14	)	)	PUNCT
ejpam-6835	237	15	)	)	PUNCT
ejpam-6835	237	16	.	.	PUNCT
ejpam-6835	238	1	the	the	DET
ejpam-6835	238	2	random	random	ADJ
ejpam-6835	238	3	superhypergraph	superhypergraph	NOUN
ejpam-6835	238	4	suhg(n)(v0	suhg(n)(v0	VERB
ejpam-6835	238	5	,	,	PUNCT
ejpam-6835	238	6	p	p	NOUN
ejpam-6835	238	7	)	)	PUNCT
ejpam-6835	238	8	simultaneously	simultaneously	ADV
ejpam-6835	238	9	extends	extend	VERB
ejpam-6835	238	10	:	:	PUNCT
ejpam-6835	238	11	(	(	PUNCT
ejpam-6835	238	12	i	i	NOUN
ejpam-6835	238	13	)	)	PUNCT
ejpam-6835	238	14	the	the	DET
ejpam-6835	238	15	erdős	erdős	PROPN
ejpam-6835	238	16	–	–	PUNCT
ejpam-6835	238	17	rényi	rényi	PROPN
ejpam-6835	238	18	graph	graph	NOUN
ejpam-6835	238	19	g(n	g(n	PROPN
ejpam-6835	238	20	,	,	PUNCT
ejpam-6835	238	21	p	p	NOUN
ejpam-6835	238	22	)	)	PUNCT
ejpam-6835	238	23	,	,	PUNCT
ejpam-6835	238	24	and	and	CCONJ
ejpam-6835	238	25	(	(	PUNCT
ejpam-6835	238	26	ii	ii	NOUN
ejpam-6835	238	27	)	)	PUNCT
ejpam-6835	238	28	the	the	DET
ejpam-6835	238	29	uniform	uniform	NOUN
ejpam-6835	239	1	k	k	NOUN
ejpam-6835	239	2	-	-	NOUN
ejpam-6835	239	3	hypergraph	hypergraph	VERB
ejpam-6835	239	4	hk(n	hk(n	PRON
ejpam-6835	239	5	,	,	PUNCT
ejpam-6835	239	6	p	p	NOUN
ejpam-6835	239	7	)	)	PUNCT
ejpam-6835	239	8	.	.	PUNCT
ejpam-6835	240	1	proof	proof	NOUN
ejpam-6835	240	2	.	.	PUNCT
ejpam-6835	241	1	first	first	ADV
ejpam-6835	241	2	note	note	VERB
ejpam-6835	241	3	that	that	SCONJ
ejpam-6835	241	4	when	when	SCONJ
ejpam-6835	241	5	n	n	X
ejpam-6835	241	6	=	=	SYM
ejpam-6835	241	7	1	1	NUM
ejpam-6835	241	8	,	,	PUNCT
ejpam-6835	241	9	v	v	NOUN
ejpam-6835	241	10	(	(	PUNCT
ejpam-6835	241	11	1	1	NUM
ejpam-6835	241	12	)	)	PUNCT
ejpam-6835	241	13	=	=	SYM
ejpam-6835	241	14	ps1(v0	ps1(v0	PROPN
ejpam-6835	241	15	)	)	PUNCT
ejpam-6835	241	16	=	=	SYM
ejpam-6835	241	17	ps(v0	ps(v0	VERB
ejpam-6835	241	18	)	)	PUNCT
ejpam-6835	241	19	,	,	PUNCT
ejpam-6835	241	20	q1	q1	PROPN
ejpam-6835	241	21	=	=	SYM
ejpam-6835	241	22	2n	2n	NUM
ejpam-6835	242	1	−	−	NOUN
ejpam-6835	242	2	1	1	X
ejpam-6835	242	3	.	.	PUNCT
ejpam-6835	242	4	thus	thus	ADV
ejpam-6835	242	5	suhg(1)(v0	suhg(1)(v0	VERB
ejpam-6835	242	6	,	,	PUNCT
ejpam-6835	242	7	p	p	NOUN
ejpam-6835	242	8	)	)	PUNCT
ejpam-6835	242	9	is	be	AUX
ejpam-6835	242	10	a	a	DET
ejpam-6835	242	11	random	random	ADJ
ejpam-6835	242	12	hypergraph	hypergraph	NOUN
ejpam-6835	242	13	on	on	ADP
ejpam-6835	242	14	the	the	DET
ejpam-6835	242	15	n	n	CCONJ
ejpam-6835	242	16	-element	-element	ADJ
ejpam-6835	242	17	vertex	vertex	NOUN
ejpam-6835	242	18	set	set	NOUN
ejpam-6835	242	19	v0	v0	NOUN
ejpam-6835	242	20	whose	whose	DET
ejpam-6835	242	21	potential	potential	ADJ
ejpam-6835	242	22	edges	edge	NOUN
ejpam-6835	242	23	are	be	AUX
ejpam-6835	242	24	all	all	PRON
ejpam-6835	242	25	nonempty	nonempty	ADJ
ejpam-6835	242	26	subsets	subset	NOUN
ejpam-6835	242	27	of	of	ADP
ejpam-6835	242	28	v0	v0	NOUN
ejpam-6835	242	29	.	.	PUNCT
ejpam-6835	243	1	(	(	PUNCT
ejpam-6835	243	2	1	1	X
ejpam-6835	243	3	)	)	PUNCT
ejpam-6835	243	4	recovery	recovery	NOUN
ejpam-6835	243	5	of	of	ADP
ejpam-6835	243	6	g(n	g(n	PROPN
ejpam-6835	243	7	,	,	PUNCT
ejpam-6835	243	8	p	p	NOUN
ejpam-6835	243	9	)	)	PUNCT
ejpam-6835	243	10	.	.	PUNCT
ejpam-6835	244	1	if	if	SCONJ
ejpam-6835	244	2	we	we	PRON
ejpam-6835	244	3	restrict	restrict	VERB
ejpam-6835	244	4	attention	attention	NOUN
ejpam-6835	244	5	to	to	ADP
ejpam-6835	244	6	those	those	DET
ejpam-6835	244	7	random	random	ADJ
ejpam-6835	244	8	edges	edge	NOUN
ejpam-6835	244	9	of	of	ADP
ejpam-6835	244	10	size	size	NOUN
ejpam-6835	244	11	exactly	exactly	ADV
ejpam-6835	244	12	2	2	NUM
ejpam-6835	244	13	,	,	PUNCT
ejpam-6835	244	14	i.e.	i.e.	X
ejpam-6835	244	15	e2	e2	X
ejpam-6835	244	16	=	=	PUNCT
ejpam-6835	244	17	{	{	PUNCT
ejpam-6835	244	18	e	e	X
ejpam-6835	244	19	∈	∈	PROPN
ejpam-6835	244	20	e	e	NOUN
ejpam-6835	244	21	:	:	PUNCT
ejpam-6835	244	22	|e|	|e|	ADJ
ejpam-6835	244	23	=	=	SYM
ejpam-6835	244	24	2	2	NUM
ejpam-6835	244	25	}	}	PUNCT
ejpam-6835	244	26	,	,	PUNCT
ejpam-6835	244	27	then	then	ADV
ejpam-6835	244	28	(	(	PUNCT
ejpam-6835	244	29	v0	v0	PROPN
ejpam-6835	244	30	,	,	PUNCT
ejpam-6835	244	31	e2	e2	PROPN
ejpam-6835	244	32	)	)	PUNCT
ejpam-6835	244	33	is	be	AUX
ejpam-6835	244	34	exactly	exactly	ADV
ejpam-6835	244	35	an	an	DET
ejpam-6835	244	36	instance	instance	NOUN
ejpam-6835	244	37	of	of	ADP
ejpam-6835	244	38	the	the	DET
ejpam-6835	244	39	erdős	erdős	NOUN
ejpam-6835	244	40	–	–	PUNCT
ejpam-6835	244	41	rényi	rényi	NOUN
ejpam-6835	244	42	random	random	ADJ
ejpam-6835	244	43	graph	graph	NOUN
ejpam-6835	244	44	g(n	g(n	PROPN
ejpam-6835	244	45	,	,	PUNCT
ejpam-6835	244	46	p	p	X
ejpam-6835	244	47	)	)	PUNCT
ejpam-6835	244	48	,	,	PUNCT
ejpam-6835	244	49	since	since	SCONJ
ejpam-6835	244	50	each	each	DET
ejpam-6835	244	51	2	2	NUM
ejpam-6835	244	52	-	-	PUNCT
ejpam-6835	244	53	element	element	NOUN
ejpam-6835	244	54	subset	subset	NOUN
ejpam-6835	244	55	of	of	ADP
ejpam-6835	244	56	v0	v0	NOUN
ejpam-6835	244	57	appears	appear	VERB
ejpam-6835	244	58	independently	independently	ADV
ejpam-6835	244	59	with	with	ADP
ejpam-6835	244	60	probability	probability	NOUN
ejpam-6835	244	61	p.	p.	NOUN
ejpam-6835	244	62	(	(	PUNCT
ejpam-6835	244	63	2	2	NUM
ejpam-6835	244	64	)	)	PUNCT
ejpam-6835	244	65	recovery	recovery	NOUN
ejpam-6835	244	66	of	of	ADP
ejpam-6835	244	67	hk(n	hk(n	PRON
ejpam-6835	244	68	,	,	PUNCT
ejpam-6835	244	69	p	p	NOUN
ejpam-6835	244	70	)	)	PUNCT
ejpam-6835	244	71	.	.	PUNCT
ejpam-6835	245	1	more	more	ADV
ejpam-6835	245	2	generally	generally	ADV
ejpam-6835	245	3	,	,	PUNCT
ejpam-6835	245	4	restricting	restrict	VERB
ejpam-6835	245	5	to	to	ADP
ejpam-6835	245	6	edges	edge	NOUN
ejpam-6835	245	7	of	of	ADP
ejpam-6835	245	8	size	size	NOUN
ejpam-6835	245	9	k	k	PROPN
ejpam-6835	245	10	,	,	PUNCT
ejpam-6835	245	11	ek	ek	NOUN
ejpam-6835	245	12	=	=	PUNCT
ejpam-6835	245	13	{	{	PUNCT
ejpam-6835	245	14	e	e	X
ejpam-6835	245	15	∈	∈	PROPN
ejpam-6835	245	16	e	e	NOUN
ejpam-6835	245	17	:	:	PUNCT
ejpam-6835	245	18	|e|	|e|	PROPN
ejpam-6835	245	19	=	=	SYM
ejpam-6835	245	20	k	k	NOUN
ejpam-6835	245	21	}	}	PUNCT
ejpam-6835	245	22	,	,	PUNCT
ejpam-6835	245	23	yields	yield	VERB
ejpam-6835	245	24	the	the	DET
ejpam-6835	245	25	k	k	ADJ
ejpam-6835	245	26	-	-	PUNCT
ejpam-6835	245	27	uniform	uniform	ADJ
ejpam-6835	245	28	random	random	ADJ
ejpam-6835	245	29	hypergraph	hypergraph	NOUN
ejpam-6835	245	30	hk(n	hk(n	ADP
ejpam-6835	245	31	,	,	PUNCT
ejpam-6835	245	32	p	p	NOUN
ejpam-6835	245	33	)	)	PUNCT
ejpam-6835	245	34	,	,	PUNCT
ejpam-6835	245	35	because	because	SCONJ
ejpam-6835	245	36	each	each	DET
ejpam-6835	245	37	k	k	NOUN
ejpam-6835	245	38	-	-	NOUN
ejpam-6835	245	39	subset	subset	NOUN
ejpam-6835	245	40	of	of	ADP
ejpam-6835	245	41	v0	v0	NOUN
ejpam-6835	245	42	is	be	AUX
ejpam-6835	245	43	included	include	VERB
ejpam-6835	245	44	independently	independently	ADV
ejpam-6835	245	45	with	with	ADP
ejpam-6835	245	46	probability	probability	NOUN
ejpam-6835	245	47	p.	p.	NOUN
ejpam-6835	245	48	in	in	ADP
ejpam-6835	245	49	both	both	DET
ejpam-6835	245	50	cases	case	NOUN
ejpam-6835	245	51	,	,	PUNCT
ejpam-6835	245	52	the	the	DET
ejpam-6835	245	53	marginal	marginal	ADJ
ejpam-6835	245	54	distributions	distribution	NOUN
ejpam-6835	245	55	and	and	CCONJ
ejpam-6835	245	56	independence	independence	NOUN
ejpam-6835	245	57	assumptions	assumption	NOUN
ejpam-6835	245	58	coincide	coincide	VERB
ejpam-6835	245	59	with	with	ADP
ejpam-6835	245	60	the	the	DET
ejpam-6835	245	61	classical	classical	ADJ
ejpam-6835	245	62	models	model	NOUN
ejpam-6835	245	63	,	,	PUNCT
ejpam-6835	245	64	so	so	ADV
ejpam-6835	245	65	suhg(n)(v0	suhg(n)(v0	ADJ
ejpam-6835	245	66	,	,	PUNCT
ejpam-6835	245	67	p	p	NOUN
ejpam-6835	245	68	)	)	PUNCT
ejpam-6835	245	69	indeed	indeed	ADV
ejpam-6835	245	70	generalizes	generalize	VERB
ejpam-6835	245	71	g(n	g(n	PROPN
ejpam-6835	245	72	,	,	PUNCT
ejpam-6835	245	73	p	p	NOUN
ejpam-6835	245	74	)	)	PUNCT
ejpam-6835	245	75	and	and	CCONJ
ejpam-6835	245	76	hk(n	hk(n	NUM
ejpam-6835	245	77	,	,	PUNCT
ejpam-6835	245	78	p	p	NOUN
ejpam-6835	245	79	)	)	PUNCT
ejpam-6835	245	80	.	.	PUNCT
ejpam-6835	246	1	theorem	theorem	ADJ
ejpam-6835	246	2	2	2	NUM
ejpam-6835	246	3	(	(	PUNCT
ejpam-6835	246	4	expectation	expectation	NOUN
ejpam-6835	246	5	of	of	ADP
ejpam-6835	246	6	number	number	NOUN
ejpam-6835	246	7	of	of	ADP
ejpam-6835	246	8	superedges	superedge	NOUN
ejpam-6835	246	9	)	)	PUNCT
ejpam-6835	246	10	.	.	PUNCT
ejpam-6835	247	1	let	let	VERB
ejpam-6835	247	2	v0	v0	NOUN
ejpam-6835	247	3	be	be	AUX
ejpam-6835	247	4	a	a	DET
ejpam-6835	247	5	finite	finite	ADJ
ejpam-6835	247	6	set	set	NOUN
ejpam-6835	247	7	,	,	PUNCT
ejpam-6835	247	8	n	n	PROPN
ejpam-6835	247	9	∈	∈	PROPN
ejpam-6835	247	10	n	n	CCONJ
ejpam-6835	247	11	,	,	PUNCT
ejpam-6835	247	12	and	and	CCONJ
ejpam-6835	247	13	write	write	VERB
ejpam-6835	247	14	mn	mn	PROPN
ejpam-6835	247	15	=	=	PUNCT
ejpam-6835	247	16	∣∣psn(v0	∣∣psn(v0	NOUN
ejpam-6835	247	17	)	)	PUNCT
ejpam-6835	248	1	∣∣	∣∣	X
ejpam-6835	248	2	,	,	PUNCT
ejpam-6835	248	3	e	e	X
ejpam-6835	248	4	=	=	SYM
ejpam-6835	248	5	ps	ps	PROPN
ejpam-6835	248	6	(	(	PUNCT
ejpam-6835	248	7	psn(v0	psn(v0	PROPN
ejpam-6835	248	8	)	)	PUNCT
ejpam-6835	248	9	)	)	PUNCT
ejpam-6835	248	10	\	\	NOUN
ejpam-6835	248	11	{	{	PUNCT
ejpam-6835	248	12	∅	∅	NOUN
ejpam-6835	248	13	}	}	PUNCT
ejpam-6835	248	14	,	,	PUNCT
ejpam-6835	248	15	qn	qn	NOUN
ejpam-6835	248	16	=	=	PUNCT
ejpam-6835	248	17	|e|	|e|	PROPN
ejpam-6835	248	18	=	=	PUNCT
ejpam-6835	248	19	2mn	2mn	PROPN
ejpam-6835	248	20	−	−	NOUN
ejpam-6835	249	1	1	1	X
ejpam-6835	249	2	.	.	PUNCT
ejpam-6835	250	1	in	in	ADP
ejpam-6835	250	2	the	the	DET
ejpam-6835	250	3	random	random	ADJ
ejpam-6835	250	4	model	model	NOUN
ejpam-6835	250	5	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	250	6	,	,	PUNCT
ejpam-6835	250	7	p	p	NOUN
ejpam-6835	250	8	)	)	PUNCT
ejpam-6835	250	9	,	,	PUNCT
ejpam-6835	250	10	the	the	DET
ejpam-6835	250	11	expected	expect	VERB
ejpam-6835	250	12	number	number	NOUN
ejpam-6835	250	13	of	of	ADP
ejpam-6835	250	14	superedges	superedge	NOUN
ejpam-6835	250	15	is	be	AUX
ejpam-6835	250	16	e	e	NOUN
ejpam-6835	250	17	[	[	PUNCT
ejpam-6835	250	18	|e|	|e|	X
ejpam-6835	250	19	]	]	X
ejpam-6835	250	20	=	=	SYM
ejpam-6835	250	21	pqn	pqn	NOUN
ejpam-6835	250	22	.	.	PUNCT
ejpam-6835	251	1	t.	t.	PROPN
ejpam-6835	251	2	fujita	fujita	PROPN
ejpam-6835	251	3	,	,	PUNCT
ejpam-6835	251	4	f.	f.	PROPN
ejpam-6835	251	5	smarandache	smarandache	PROPN
ejpam-6835	251	6	/	/	SYM
ejpam-6835	251	7	eur	eur	PROPN
ejpam-6835	251	8	.	.	PUNCT
ejpam-6835	252	1	j.	j.	PROPN
ejpam-6835	252	2	pure	pure	PROPN
ejpam-6835	252	3	appl	appl	PROPN
ejpam-6835	252	4	.	.	PROPN
ejpam-6835	252	5	math	math	PROPN
ejpam-6835	252	6	,	,	PUNCT
ejpam-6835	252	7	18	18	NUM
ejpam-6835	252	8	(	(	PUNCT
ejpam-6835	252	9	4	4	NUM
ejpam-6835	252	10	)	)	PUNCT
ejpam-6835	252	11	(	(	PUNCT
ejpam-6835	252	12	2025	2025	NUM
ejpam-6835	252	13	)	)	PUNCT
ejpam-6835	252	14	,	,	PUNCT
ejpam-6835	252	15	6835	6835	NUM
ejpam-6835	252	16	12	12	NUM
ejpam-6835	252	17	of	of	ADP
ejpam-6835	252	18	29	29	NUM
ejpam-6835	252	19	proof	proof	NOUN
ejpam-6835	252	20	.	.	PUNCT
ejpam-6835	253	1	for	for	ADP
ejpam-6835	253	2	each	each	DET
ejpam-6835	253	3	potential	potential	ADJ
ejpam-6835	253	4	hyperedge	hyperedge	NOUN
ejpam-6835	253	5	e	e	X
ejpam-6835	253	6	∈	∈	NOUN
ejpam-6835	253	7	e	e	NOUN
ejpam-6835	253	8	,	,	PUNCT
ejpam-6835	253	9	let	let	VERB
ejpam-6835	253	10	xe	xe	PROPN
ejpam-6835	253	11	=	=	PRON
ejpam-6835	253	12	1{e∈e	1{e∈e	PROPN
ejpam-6835	253	13	}	}	PUNCT
ejpam-6835	253	14	be	be	AUX
ejpam-6835	253	15	its	its	PRON
ejpam-6835	253	16	indicator	indicator	NOUN
ejpam-6835	253	17	.	.	PUNCT
ejpam-6835	254	1	since	since	SCONJ
ejpam-6835	254	2	each	each	DET
ejpam-6835	254	3	e	e	NOUN
ejpam-6835	254	4	is	be	AUX
ejpam-6835	254	5	included	include	VERB
ejpam-6835	254	6	independently	independently	ADV
ejpam-6835	254	7	with	with	ADP
ejpam-6835	254	8	probability	probability	NOUN
ejpam-6835	254	9	p	p	X
ejpam-6835	254	10	,	,	PUNCT
ejpam-6835	254	11	we	we	PRON
ejpam-6835	254	12	have	have	VERB
ejpam-6835	254	13	e[xe	e[xe	VERB
ejpam-6835	254	14	]	]	X
ejpam-6835	254	15	=	=	SYM
ejpam-6835	255	1	p.	p.	NOUN
ejpam-6835	255	2	hence	hence	ADV
ejpam-6835	256	1	|e|	|e|	PROPN
ejpam-6835	256	2	=	=	PUNCT
ejpam-6835	256	3	∑	∑	PUNCT
ejpam-6835	256	4	e∈e	e∈e	PROPN
ejpam-6835	256	5	xe	xe	PROPN
ejpam-6835	256	6	,	,	PUNCT
ejpam-6835	256	7	e	e	X
ejpam-6835	257	1	[	[	PUNCT
ejpam-6835	257	2	|e|	|e|	X
ejpam-6835	257	3	]	]	X
ejpam-6835	257	4	=	=	PUNCT
ejpam-6835	257	5	∑	∑	PUNCT
ejpam-6835	257	6	e∈e	e∈e	VERB
ejpam-6835	257	7	e[xe	e[xe	PROPN
ejpam-6835	257	8	]	]	X
ejpam-6835	257	9	=	=	SYM
ejpam-6835	257	10	qn	qn	PROPN
ejpam-6835	257	11	p.	p.	NOUN
ejpam-6835	257	12	theorem	theorem	VERB
ejpam-6835	257	13	3	3	NUM
ejpam-6835	257	14	(	(	PUNCT
ejpam-6835	257	15	variance	variance	NOUN
ejpam-6835	257	16	of	of	ADP
ejpam-6835	257	17	number	number	NOUN
ejpam-6835	257	18	of	of	ADP
ejpam-6835	257	19	superedges	superedge	NOUN
ejpam-6835	257	20	)	)	PUNCT
ejpam-6835	257	21	.	.	PUNCT
ejpam-6835	258	1	under	under	ADP
ejpam-6835	258	2	the	the	DET
ejpam-6835	258	3	same	same	ADJ
ejpam-6835	258	4	notation	notation	NOUN
ejpam-6835	258	5	,	,	PUNCT
ejpam-6835	258	6	var	var	X
ejpam-6835	258	7	[	[	PUNCT
ejpam-6835	258	8	|e|	|e|	X
ejpam-6835	258	9	]	]	X
ejpam-6835	258	10	=	=	PUNCT
ejpam-6835	258	11	p(1−	p(1−	PROPN
ejpam-6835	258	12	p)qn	p)qn	PROPN
ejpam-6835	258	13	.	.	PUNCT
ejpam-6835	259	1	proof	proof	NOUN
ejpam-6835	259	2	.	.	PUNCT
ejpam-6835	260	1	since	since	SCONJ
ejpam-6835	260	2	the	the	DET
ejpam-6835	260	3	xe	xe	PROPN
ejpam-6835	260	4	are	be	AUX
ejpam-6835	260	5	independent	independent	ADJ
ejpam-6835	260	6	bernoulli(p	bernoulli(p	NOUN
ejpam-6835	260	7	)	)	PUNCT
ejpam-6835	260	8	variables	variable	NOUN
ejpam-6835	260	9	,	,	PUNCT
ejpam-6835	260	10	var	var	X
ejpam-6835	260	11	[	[	PUNCT
ejpam-6835	260	12	|e|	|e|	X
ejpam-6835	260	13	]	]	X
ejpam-6835	260	14	=	=	PUNCT
ejpam-6835	260	15	∑	∑	PUNCT
ejpam-6835	260	16	e∈e	e∈e	VERB
ejpam-6835	260	17	var(xe	var(xe	NOUN
ejpam-6835	260	18	)	)	PUNCT
ejpam-6835	261	1	=	=	SYM
ejpam-6835	261	2	∑	∑	PUNCT
ejpam-6835	261	3	e∈e	e∈e	VERB
ejpam-6835	261	4	p(1−	p(1−	PROPN
ejpam-6835	261	5	p	p	NOUN
ejpam-6835	261	6	)	)	PUNCT
ejpam-6835	261	7	=	=	PUNCT
ejpam-6835	261	8	qn	qn	PROPN
ejpam-6835	261	9	p(1−	p(1−	PROPN
ejpam-6835	261	10	p	p	PROPN
ejpam-6835	261	11	)	)	PUNCT
ejpam-6835	261	12	.	.	PUNCT
ejpam-6835	262	1	theorem	theorem	ADJ
ejpam-6835	262	2	4	4	NUM
ejpam-6835	262	3	(	(	PUNCT
ejpam-6835	262	4	chernoff	chernoff	NOUN
ejpam-6835	262	5	concentration	concentration	NOUN
ejpam-6835	262	6	)	)	PUNCT
ejpam-6835	262	7	.	.	PUNCT
ejpam-6835	263	1	for	for	ADP
ejpam-6835	263	2	any	any	DET
ejpam-6835	263	3	ε	ε	PROPN
ejpam-6835	263	4	∈	∈	PROPN
ejpam-6835	263	5	(	(	PUNCT
ejpam-6835	263	6	0	0	NUM
ejpam-6835	263	7	,	,	PUNCT
ejpam-6835	263	8	1	1	NUM
ejpam-6835	263	9	)	)	PUNCT
ejpam-6835	263	10	,	,	PUNCT
ejpam-6835	263	11	pr	pr	X
ejpam-6835	263	12	(	(	PUNCT
ejpam-6835	263	13	∣∣|e|	∣∣|e|	ADV
ejpam-6835	263	14	−	−	NOUN
ejpam-6835	263	15	pqn	pqn	NOUN
ejpam-6835	263	16	∣∣	∣∣	X
ejpam-6835	263	17	>	>	X
ejpam-6835	263	18	εpqn	εpqn	PROPN
ejpam-6835	263	19	)	)	PUNCT
ejpam-6835	263	20	<	<	X
ejpam-6835	263	21	2	2	NUM
ejpam-6835	263	22	exp	exp	NOUN
ejpam-6835	263	23	(	(	PUNCT
ejpam-6835	263	24	−ε2	−ε2	PROPN
ejpam-6835	263	25	pqn	pqn	VERB
ejpam-6835	263	26	3	3	NUM
ejpam-6835	263	27	)	)	PUNCT
ejpam-6835	263	28	.	.	PUNCT
ejpam-6835	264	1	proof	proof	NOUN
ejpam-6835	264	2	.	.	PUNCT
ejpam-6835	265	1	this	this	PRON
ejpam-6835	265	2	follows	follow	VERB
ejpam-6835	265	3	from	from	ADP
ejpam-6835	265	4	the	the	DET
ejpam-6835	265	5	multiplicative	multiplicative	ADJ
ejpam-6835	265	6	chernoff	chernoff	NOUN
ejpam-6835	265	7	bound	bind	VERB
ejpam-6835	265	8	applied	apply	VERB
ejpam-6835	265	9	to	to	ADP
ejpam-6835	265	10	the	the	DET
ejpam-6835	265	11	sum	sum	NOUN
ejpam-6835	265	12	∑	∑	PROPN
ejpam-6835	265	13	e∈e	e∈e	VERB
ejpam-6835	265	14	xe	xe	PROPN
ejpam-6835	265	15	of	of	ADP
ejpam-6835	265	16	independent	independent	ADJ
ejpam-6835	265	17	indicators	indicator	NOUN
ejpam-6835	265	18	,	,	PUNCT
ejpam-6835	265	19	noting	note	VERB
ejpam-6835	265	20	that	that	SCONJ
ejpam-6835	265	21	e[|e|	e[|e|	NOUN
ejpam-6835	265	22	]	]	X
ejpam-6835	265	23	=	=	SYM
ejpam-6835	265	24	pqn	pqn	NOUN
ejpam-6835	265	25	.	.	PUNCT
ejpam-6835	266	1	theorem	theorem	ADJ
ejpam-6835	266	2	5	5	NUM
ejpam-6835	266	3	(	(	PUNCT
ejpam-6835	266	4	substructure	substructure	NOUN
ejpam-6835	266	5	appearance	appearance	NOUN
ejpam-6835	266	6	threshold	threshold	NOUN
ejpam-6835	266	7	)	)	PUNCT
ejpam-6835	266	8	.	.	PUNCT
ejpam-6835	267	1	let	let	VERB
ejpam-6835	267	2	h	h	NOUN
ejpam-6835	267	3	=	=	SYM
ejpam-6835	267	4	(	(	PUNCT
ejpam-6835	267	5	vh	vh	PROPN
ejpam-6835	267	6	,	,	PUNCT
ejpam-6835	267	7	eh	eh	INTJ
ejpam-6835	267	8	)	)	PUNCT
ejpam-6835	267	9	be	be	AUX
ejpam-6835	267	10	a	a	DET
ejpam-6835	267	11	fixed	fix	VERB
ejpam-6835	267	12	nsuperhypergraph	nsuperhypergraph	NOUN
ejpam-6835	267	13	with	with	ADP
ejpam-6835	267	14	|vh	|vh	X
ejpam-6835	268	1	|	|	ADV
ejpam-6835	268	2	=	=	SYM
ejpam-6835	268	3	s	s	PROPN
ejpam-6835	268	4	and	and	CCONJ
ejpam-6835	268	5	|eh	|eh	PUNCT
ejpam-6835	269	1	|	|	ADV
ejpam-6835	269	2	=	=	SYM
ejpam-6835	270	1	t.	t.	PROPN
ejpam-6835	270	2	write	write	PROPN
ejpam-6835	270	3	mn	mn	PROPN
ejpam-6835	270	4	=	=	PUNCT
ejpam-6835	270	5	∣∣psn(v0	∣∣psn(v0	PROPN
ejpam-6835	270	6	)	)	PUNCT
ejpam-6835	271	1	∣∣	∣∣	X
ejpam-6835	271	2	,	,	PUNCT
ejpam-6835	271	3	(	(	PUNCT
ejpam-6835	271	4	mn)s	mn)s	PROPN
ejpam-6835	271	5	=	=	SYM
ejpam-6835	271	6	mn	mn	PROPN
ejpam-6835	271	7	(	(	PUNCT
ejpam-6835	271	8	mn	mn	PROPN
ejpam-6835	271	9	−	−	PROPN
ejpam-6835	271	10	1	1	NUM
ejpam-6835	271	11	)	)	PUNCT
ejpam-6835	271	12	·	·	PUNCT
ejpam-6835	271	13	·	·	PUNCT
ejpam-6835	271	14	·	·	PUNCT
ejpam-6835	272	1	(	(	PUNCT
ejpam-6835	272	2	mn	mn	X
ejpam-6835	272	3	−	−	PROPN
ejpam-6835	272	4	s	s	PART
ejpam-6835	272	5	+	+	NOUN
ejpam-6835	272	6	1	1	NUM
ejpam-6835	272	7	)	)	PUNCT
ejpam-6835	272	8	.	.	PUNCT
ejpam-6835	273	1	in	in	ADP
ejpam-6835	273	2	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	273	3	,	,	PUNCT
ejpam-6835	273	4	p	p	NOUN
ejpam-6835	273	5	)	)	PUNCT
ejpam-6835	273	6	,	,	PUNCT
ejpam-6835	273	7	let	let	VERB
ejpam-6835	273	8	xh	xh	PROPN
ejpam-6835	273	9	be	be	AUX
ejpam-6835	273	10	the	the	DET
ejpam-6835	273	11	number	number	NOUN
ejpam-6835	273	12	of	of	ADP
ejpam-6835	273	13	labeled	label	VERB
ejpam-6835	273	14	embeddings	embedding	NOUN
ejpam-6835	273	15	of	of	ADP
ejpam-6835	273	16	h.	h.	NOUN
ejpam-6835	273	17	then	then	ADV
ejpam-6835	273	18	e[xh	e[xh	VERB
ejpam-6835	273	19	]	]	X
ejpam-6835	273	20	=	=	PUNCT
ejpam-6835	273	21	(	(	PUNCT
ejpam-6835	274	1	mn)s	mn)s	PROPN
ejpam-6835	274	2	p	p	PROPN
ejpam-6835	274	3	t.	t.	PROPN
ejpam-6835	274	4	in	in	ADP
ejpam-6835	274	5	particular	particular	ADJ
ejpam-6835	274	6	,	,	PUNCT
ejpam-6835	274	7	if	if	SCONJ
ejpam-6835	274	8	p	p	PRON
ejpam-6835	274	9	≪	≪	VERB
ejpam-6835	274	10	m	m	VERB
ejpam-6835	274	11	−	−	PROPN
ejpam-6835	274	12	s	s	PART
ejpam-6835	274	13	/	/	SYM
ejpam-6835	274	14	t	t	PROPN
ejpam-6835	275	1	n	n	CCONJ
ejpam-6835	275	2	then	then	ADV
ejpam-6835	275	3	e[xh	e[xh	VERB
ejpam-6835	275	4	]	]	PUNCT
ejpam-6835	275	5	→	→	SYM
ejpam-6835	275	6	0	0	NUM
ejpam-6835	275	7	and	and	CCONJ
ejpam-6835	275	8	hence	hence	ADV
ejpam-6835	275	9	with	with	ADP
ejpam-6835	275	10	high	high	ADJ
ejpam-6835	275	11	probability	probability	NOUN
ejpam-6835	275	12	no	no	DET
ejpam-6835	275	13	copy	copy	NOUN
ejpam-6835	275	14	of	of	ADP
ejpam-6835	275	15	h	h	NOUN
ejpam-6835	275	16	appears	appear	VERB
ejpam-6835	275	17	;	;	PUNCT
ejpam-6835	275	18	while	while	SCONJ
ejpam-6835	275	19	if	if	SCONJ
ejpam-6835	275	20	p	p	PROPN
ejpam-6835	275	21	≫	≫	PROPN
ejpam-6835	275	22	m	m	VERB
ejpam-6835	275	23	−	−	PROPN
ejpam-6835	275	24	s	s	PROPN
ejpam-6835	275	25	/	/	SYM
ejpam-6835	275	26	t	t	PROPN
ejpam-6835	275	27	n	n	CCONJ
ejpam-6835	275	28	then	then	ADV
ejpam-6835	275	29	e[xh	e[xh	VERB
ejpam-6835	275	30	]	]	X
ejpam-6835	275	31	→	→	SYM
ejpam-6835	275	32	∞	∞	PROPN
ejpam-6835	275	33	and	and	CCONJ
ejpam-6835	275	34	with	with	ADP
ejpam-6835	275	35	high	high	ADJ
ejpam-6835	275	36	probability	probability	NOUN
ejpam-6835	275	37	at	at	ADV
ejpam-6835	275	38	least	least	ADV
ejpam-6835	275	39	one	one	NUM
ejpam-6835	275	40	copy	copy	NOUN
ejpam-6835	275	41	appears	appear	VERB
ejpam-6835	275	42	.	.	PUNCT
ejpam-6835	276	1	t.	t.	PROPN
ejpam-6835	276	2	fujita	fujita	PROPN
ejpam-6835	276	3	,	,	PUNCT
ejpam-6835	276	4	f.	f.	PROPN
ejpam-6835	276	5	smarandache	smarandache	PROPN
ejpam-6835	276	6	/	/	SYM
ejpam-6835	276	7	eur	eur	PROPN
ejpam-6835	276	8	.	.	PUNCT
ejpam-6835	277	1	j.	j.	PROPN
ejpam-6835	277	2	pure	pure	PROPN
ejpam-6835	277	3	appl	appl	PROPN
ejpam-6835	277	4	.	.	PROPN
ejpam-6835	277	5	math	math	PROPN
ejpam-6835	277	6	,	,	PUNCT
ejpam-6835	277	7	18	18	NUM
ejpam-6835	277	8	(	(	PUNCT
ejpam-6835	277	9	4	4	NUM
ejpam-6835	277	10	)	)	PUNCT
ejpam-6835	277	11	(	(	PUNCT
ejpam-6835	277	12	2025	2025	NUM
ejpam-6835	277	13	)	)	PUNCT
ejpam-6835	277	14	,	,	PUNCT
ejpam-6835	277	15	6835	6835	NUM
ejpam-6835	277	16	13	13	NUM
ejpam-6835	277	17	of	of	ADP
ejpam-6835	277	18	29	29	NUM
ejpam-6835	277	19	proof	proof	NOUN
ejpam-6835	277	20	.	.	PUNCT
ejpam-6835	278	1	each	each	PRON
ejpam-6835	278	2	labeled	label	VERB
ejpam-6835	278	3	embedding	embed	VERB
ejpam-6835	278	4	of	of	ADP
ejpam-6835	278	5	h	h	NOUN
ejpam-6835	278	6	into	into	ADP
ejpam-6835	278	7	psn(v0	psn(v0	PROPN
ejpam-6835	278	8	)	)	PUNCT
ejpam-6835	278	9	is	be	AUX
ejpam-6835	278	10	a	a	DET
ejpam-6835	278	11	choice	choice	NOUN
ejpam-6835	278	12	of	of	ADP
ejpam-6835	278	13	an	an	DET
ejpam-6835	278	14	ordered	ordered	ADJ
ejpam-6835	278	15	s	s	NOUN
ejpam-6835	278	16	-	-	NOUN
ejpam-6835	278	17	tuple	tuple	NOUN
ejpam-6835	278	18	of	of	ADP
ejpam-6835	278	19	distinct	distinct	ADJ
ejpam-6835	278	20	supervertices	supervertice	NOUN
ejpam-6835	278	21	,	,	PUNCT
ejpam-6835	278	22	of	of	ADP
ejpam-6835	278	23	which	which	PRON
ejpam-6835	278	24	there	there	PRON
ejpam-6835	278	25	are	be	VERB
ejpam-6835	278	26	(	(	PUNCT
ejpam-6835	278	27	mn)s	mn)s	PROPN
ejpam-6835	278	28	possibilities	possibility	NOUN
ejpam-6835	278	29	,	,	PUNCT
ejpam-6835	278	30	together	together	ADV
ejpam-6835	278	31	with	with	ADP
ejpam-6835	278	32	the	the	DET
ejpam-6835	278	33	requirement	requirement	NOUN
ejpam-6835	278	34	that	that	SCONJ
ejpam-6835	278	35	each	each	PRON
ejpam-6835	278	36	of	of	ADP
ejpam-6835	278	37	the	the	DET
ejpam-6835	278	38	t	t	PROPN
ejpam-6835	278	39	specified	specify	VERB
ejpam-6835	278	40	hyperedges	hyperedge	NOUN
ejpam-6835	278	41	of	of	ADP
ejpam-6835	278	42	h	h	NOUN
ejpam-6835	278	43	appears	appear	VERB
ejpam-6835	278	44	.	.	PUNCT
ejpam-6835	279	1	since	since	SCONJ
ejpam-6835	279	2	each	each	DET
ejpam-6835	279	3	potential	potential	ADJ
ejpam-6835	279	4	hyperedge	hyperedge	NOUN
ejpam-6835	279	5	is	be	AUX
ejpam-6835	279	6	included	include	VERB
ejpam-6835	279	7	independently	independently	ADV
ejpam-6835	279	8	with	with	ADP
ejpam-6835	279	9	probability	probability	NOUN
ejpam-6835	279	10	p	p	X
ejpam-6835	279	11	,	,	PUNCT
ejpam-6835	279	12	the	the	DET
ejpam-6835	279	13	probability	probability	NOUN
ejpam-6835	279	14	that	that	SCONJ
ejpam-6835	279	15	a	a	DET
ejpam-6835	279	16	given	give	VERB
ejpam-6835	279	17	labeled	label	VERB
ejpam-6835	279	18	embedding	embed	VERB
ejpam-6835	279	19	is	be	AUX
ejpam-6835	279	20	present	present	ADJ
ejpam-6835	279	21	is	be	AUX
ejpam-6835	279	22	pt	pt	PROPN
ejpam-6835	279	23	.	.	PROPN
ejpam-6835	279	24	linearity	linearity	NOUN
ejpam-6835	279	25	of	of	ADP
ejpam-6835	279	26	expectation	expectation	NOUN
ejpam-6835	279	27	then	then	ADV
ejpam-6835	279	28	yields	yield	VERB
ejpam-6835	279	29	e[xh	e[xh	PROPN
ejpam-6835	279	30	]	]	X
ejpam-6835	279	31	=	=	PUNCT
ejpam-6835	279	32	(	(	PUNCT
ejpam-6835	280	1	mn)s	mn)s	PROPN
ejpam-6835	280	2	p	p	NOUN
ejpam-6835	280	3	t.	t.	X
ejpam-6835	280	4	the	the	DET
ejpam-6835	280	5	“	"	PUNCT
ejpam-6835	280	6	0	0	NUM
ejpam-6835	280	7	–	–	PUNCT
ejpam-6835	280	8	infinity	infinity	NOUN
ejpam-6835	280	9	”	"	PUNCT
ejpam-6835	280	10	dichotomy	dichotomy	NOUN
ejpam-6835	280	11	follows	follow	VERB
ejpam-6835	280	12	by	by	ADP
ejpam-6835	280	13	comparing	compare	VERB
ejpam-6835	280	14	pt	pt	NOUN
ejpam-6835	280	15	to	to	PART
ejpam-6835	280	16	(	(	PUNCT
ejpam-6835	280	17	mn)−1	mn)−1	NOUN
ejpam-6835	280	18	s	s	X
ejpam-6835	280	19	.	.	PUNCT
ejpam-6835	281	1	theorem	theorem	NOUN
ejpam-6835	281	2	6	6	NUM
ejpam-6835	281	3	(	(	PUNCT
ejpam-6835	281	4	generalization	generalization	NOUN
ejpam-6835	281	5	of	of	ADP
ejpam-6835	281	6	g(n	g(n	PROPN
ejpam-6835	281	7	,	,	PUNCT
ejpam-6835	281	8	p	p	NOUN
ejpam-6835	281	9	)	)	PUNCT
ejpam-6835	281	10	and	and	CCONJ
ejpam-6835	281	11	hk(n	hk(n	NUM
ejpam-6835	281	12	,	,	PUNCT
ejpam-6835	281	13	p	p	NOUN
ejpam-6835	281	14	)	)	PUNCT
ejpam-6835	281	15	)	)	PUNCT
ejpam-6835	281	16	.	.	PUNCT
ejpam-6835	282	1	the	the	DET
ejpam-6835	282	2	random	random	ADJ
ejpam-6835	282	3	superhypergraph	superhypergraph	NOUN
ejpam-6835	282	4	suhg(n)(v0	suhg(n)(v0	VERB
ejpam-6835	282	5	,	,	PUNCT
ejpam-6835	282	6	p	p	ADJ
ejpam-6835	282	7	)	)	PUNCT
ejpam-6835	282	8	recovers	recover	NOUN
ejpam-6835	282	9	:	:	PUNCT
ejpam-6835	282	10	•	•	NUM
ejpam-6835	282	11	the	the	DET
ejpam-6835	282	12	erdős	erdős	NOUN
ejpam-6835	282	13	–	–	PUNCT
ejpam-6835	282	14	rényi	rényi	PROPN
ejpam-6835	282	15	graph	graph	NOUN
ejpam-6835	282	16	g(n	g(n	PROPN
ejpam-6835	282	17	,	,	PUNCT
ejpam-6835	282	18	p	p	X
ejpam-6835	282	19	)	)	PUNCT
ejpam-6835	282	20	by	by	ADP
ejpam-6835	282	21	restricting	restrict	VERB
ejpam-6835	282	22	to	to	ADP
ejpam-6835	282	23	hyperedges	hyperedge	NOUN
ejpam-6835	282	24	of	of	ADP
ejpam-6835	282	25	size	size	NOUN
ejpam-6835	282	26	2	2	NUM
ejpam-6835	282	27	when	when	SCONJ
ejpam-6835	282	28	n	n	X
ejpam-6835	282	29	=	=	SYM
ejpam-6835	282	30	1	1	NUM
ejpam-6835	282	31	.	.	NUM
ejpam-6835	282	32	•	•	NUM
ejpam-6835	282	33	the	the	DET
ejpam-6835	282	34	k	k	ADJ
ejpam-6835	282	35	-	-	PUNCT
ejpam-6835	282	36	uniform	uniform	ADJ
ejpam-6835	282	37	hypergraph	hypergraph	NOUN
ejpam-6835	282	38	hk(n	hk(n	ADP
ejpam-6835	282	39	,	,	PUNCT
ejpam-6835	282	40	p	p	X
ejpam-6835	282	41	)	)	PUNCT
ejpam-6835	282	42	by	by	ADP
ejpam-6835	282	43	restricting	restrict	VERB
ejpam-6835	282	44	to	to	ADP
ejpam-6835	282	45	hyperedges	hyperedge	NOUN
ejpam-6835	282	46	of	of	ADP
ejpam-6835	282	47	size	size	NOUN
ejpam-6835	282	48	k	k	PROPN
ejpam-6835	282	49	when	when	SCONJ
ejpam-6835	282	50	n	n	X
ejpam-6835	282	51	=	=	SYM
ejpam-6835	282	52	1	1	X
ejpam-6835	282	53	.	.	PUNCT
ejpam-6835	283	1	proof	proof	NOUN
ejpam-6835	283	2	.	.	PUNCT
ejpam-6835	284	1	when	when	SCONJ
ejpam-6835	284	2	n	n	X
ejpam-6835	284	3	=	=	SYM
ejpam-6835	284	4	1	1	NUM
ejpam-6835	284	5	,	,	PUNCT
ejpam-6835	284	6	we	we	PRON
ejpam-6835	284	7	have	have	VERB
ejpam-6835	284	8	v	v	NUM
ejpam-6835	284	9	(	(	PUNCT
ejpam-6835	284	10	1	1	NUM
ejpam-6835	284	11	)	)	PUNCT
ejpam-6835	284	12	=	=	SYM
ejpam-6835	284	13	ps(v0	ps(v0	VERB
ejpam-6835	284	14	)	)	PUNCT
ejpam-6835	284	15	and	and	CCONJ
ejpam-6835	284	16	each	each	DET
ejpam-6835	284	17	nonempty	nonempty	NOUN
ejpam-6835	284	18	subset	subset	NOUN
ejpam-6835	284	19	of	of	ADP
ejpam-6835	284	20	v0	v0	NOUN
ejpam-6835	284	21	is	be	AUX
ejpam-6835	284	22	a	a	DET
ejpam-6835	284	23	potential	potential	ADJ
ejpam-6835	284	24	hyperedge	hyperedge	NOUN
ejpam-6835	284	25	.	.	PUNCT
ejpam-6835	285	1	restricting	restrict	VERB
ejpam-6835	285	2	to	to	ADP
ejpam-6835	285	3	those	those	PRON
ejpam-6835	285	4	of	of	ADP
ejpam-6835	285	5	size	size	NOUN
ejpam-6835	285	6	r	r	NOUN
ejpam-6835	285	7	yields	yield	NOUN
ejpam-6835	285	8	exactly	exactly	ADV
ejpam-6835	285	9	the	the	DET
ejpam-6835	285	10	model	model	NOUN
ejpam-6835	285	11	in	in	ADP
ejpam-6835	285	12	which	which	PRON
ejpam-6835	285	13	each	each	DET
ejpam-6835	285	14	r	r	NOUN
ejpam-6835	285	15	-	-	PUNCT
ejpam-6835	285	16	subset	subset	NOUN
ejpam-6835	285	17	of	of	ADP
ejpam-6835	285	18	v0	v0	NOUN
ejpam-6835	285	19	appears	appear	VERB
ejpam-6835	285	20	independently	independently	ADV
ejpam-6835	285	21	with	with	ADP
ejpam-6835	285	22	probability	probability	NOUN
ejpam-6835	285	23	p	p	X
ejpam-6835	285	24	,	,	PUNCT
ejpam-6835	285	25	i.e.	i.e.	X
ejpam-6835	285	26	g(n	g(n	PROPN
ejpam-6835	285	27	,	,	PUNCT
ejpam-6835	285	28	p	p	X
ejpam-6835	285	29	)	)	PUNCT
ejpam-6835	285	30	if	if	SCONJ
ejpam-6835	285	31	r	r	NOUN
ejpam-6835	285	32	=	=	SYM
ejpam-6835	285	33	2	2	NUM
ejpam-6835	285	34	and	and	CCONJ
ejpam-6835	285	35	hk(n	hk(n	NUM
ejpam-6835	285	36	,	,	PUNCT
ejpam-6835	285	37	p	p	NOUN
ejpam-6835	285	38	)	)	PUNCT
ejpam-6835	285	39	if	if	SCONJ
ejpam-6835	285	40	r	r	NOUN
ejpam-6835	285	41	=	=	SYM
ejpam-6835	285	42	k.	k.	NOUN
ejpam-6835	285	43	theorem	theorem	VERB
ejpam-6835	285	44	7	7	NUM
ejpam-6835	285	45	(	(	PUNCT
ejpam-6835	285	46	central	central	ADJ
ejpam-6835	285	47	limit	limit	NOUN
ejpam-6835	285	48	theorem	theorem	VERB
ejpam-6835	285	49	for	for	ADP
ejpam-6835	285	50	number	number	NOUN
ejpam-6835	285	51	of	of	ADP
ejpam-6835	285	52	hyperedges	hyperedge	NOUN
ejpam-6835	285	53	)	)	PUNCT
ejpam-6835	285	54	.	.	PUNCT
ejpam-6835	286	1	let	let	VERB
ejpam-6835	286	2	qn	qn	NOUN
ejpam-6835	286	3	=	=	PROPN
ejpam-6835	286	4	2mn	2mn	PROPN
ejpam-6835	286	5	−	−	NOUN
ejpam-6835	286	6	1	1	NUM
ejpam-6835	286	7	,	,	PUNCT
ejpam-6835	286	8	|e|	|e|	DET
ejpam-6835	286	9	∼	∼	NOUN
ejpam-6835	286	10	binomial(qn	binomial(qn	NOUN
ejpam-6835	286	11	,	,	PUNCT
ejpam-6835	286	12	p	p	NOUN
ejpam-6835	286	13	)	)	PUNCT
ejpam-6835	286	14	.	.	PUNCT
ejpam-6835	287	1	as	as	ADP
ejpam-6835	287	2	qn	qn	PROPN
ejpam-6835	287	3	→∞	→∞	PROPN
ejpam-6835	287	4	,	,	PUNCT
ejpam-6835	287	5	|e|	|e|	DET
ejpam-6835	287	6	−	−	PROPN
ejpam-6835	287	7	pqn√	pqn√	PROPN
ejpam-6835	287	8	p(1−	p(1−	PROPN
ejpam-6835	287	9	p)qn	p)qn	PROPN
ejpam-6835	287	10	d−→	d−→	PROPN
ejpam-6835	287	11	n	n	CCONJ
ejpam-6835	287	12	(	(	PUNCT
ejpam-6835	287	13	0	0	NUM
ejpam-6835	287	14	,	,	PUNCT
ejpam-6835	287	15	1	1	NUM
ejpam-6835	287	16	)	)	PUNCT
ejpam-6835	287	17	.	.	PUNCT
ejpam-6835	288	1	proof	proof	NOUN
ejpam-6835	288	2	.	.	PUNCT
ejpam-6835	289	1	since	since	SCONJ
ejpam-6835	289	2	|e|	|e|	PRON
ejpam-6835	289	3	is	be	AUX
ejpam-6835	289	4	the	the	DET
ejpam-6835	289	5	sum	sum	NOUN
ejpam-6835	289	6	of	of	ADP
ejpam-6835	289	7	qn	qn	PROPN
ejpam-6835	289	8	independent	independent	ADJ
ejpam-6835	289	9	bernoulli(p	bernoulli(p	NOUN
ejpam-6835	289	10	)	)	PUNCT
ejpam-6835	289	11	indicators	indicator	NOUN
ejpam-6835	289	12	,	,	PUNCT
ejpam-6835	289	13	the	the	DET
ejpam-6835	289	14	classical	classical	ADJ
ejpam-6835	289	15	central	central	ADJ
ejpam-6835	289	16	limit	limit	NOUN
ejpam-6835	289	17	theorem	theorem	VERB
ejpam-6835	289	18	applies	applie	NOUN
ejpam-6835	289	19	directly	directly	ADV
ejpam-6835	289	20	.	.	PUNCT
ejpam-6835	290	1	theorem	theorem	ADJ
ejpam-6835	290	2	8	8	NUM
ejpam-6835	290	3	(	(	PUNCT
ejpam-6835	290	4	strong	strong	ADJ
ejpam-6835	290	5	law	law	NOUN
ejpam-6835	290	6	of	of	ADP
ejpam-6835	290	7	large	large	ADJ
ejpam-6835	290	8	numbers	number	NOUN
ejpam-6835	290	9	)	)	PUNCT
ejpam-6835	290	10	.	.	PUNCT
ejpam-6835	291	1	in	in	ADP
ejpam-6835	291	2	the	the	DET
ejpam-6835	291	3	same	same	ADJ
ejpam-6835	291	4	notation	notation	NOUN
ejpam-6835	291	5	,	,	PUNCT
ejpam-6835	291	6	|e|	|e|	DET
ejpam-6835	291	7	qn	qn	NOUN
ejpam-6835	291	8	a.s.−−→	a.s.−−→	PROPN
ejpam-6835	291	9	p	p	PROPN
ejpam-6835	291	10	(	(	PUNCT
ejpam-6835	291	11	qn	qn	INTJ
ejpam-6835	291	12	→∞	→∞	NOUN
ejpam-6835	291	13	)	)	PUNCT
ejpam-6835	291	14	.	.	PUNCT
ejpam-6835	292	1	proof	proof	NOUN
ejpam-6835	292	2	.	.	PUNCT
ejpam-6835	293	1	by	by	ADP
ejpam-6835	293	2	kolmogorov	kolmogorov	PROPN
ejpam-6835	293	3	’s	’s	PART
ejpam-6835	293	4	strong	strong	ADJ
ejpam-6835	293	5	law	law	NOUN
ejpam-6835	293	6	for	for	ADP
ejpam-6835	293	7	independent	independent	ADJ
ejpam-6835	293	8	,	,	PUNCT
ejpam-6835	293	9	identically	identically	ADV
ejpam-6835	293	10	distributed	distribute	VERB
ejpam-6835	293	11	bernoulli	bernoulli	PROPN
ejpam-6835	293	12	trials	trial	NOUN
ejpam-6835	293	13	,	,	PUNCT
ejpam-6835	293	14	the	the	DET
ejpam-6835	293	15	sample	sample	NOUN
ejpam-6835	293	16	proportion	proportion	NOUN
ejpam-6835	293	17	converges	converge	VERB
ejpam-6835	293	18	almost	almost	ADV
ejpam-6835	293	19	surely	surely	ADV
ejpam-6835	293	20	to	to	ADP
ejpam-6835	293	21	the	the	DET
ejpam-6835	293	22	common	common	ADJ
ejpam-6835	293	23	success	success	NOUN
ejpam-6835	293	24	probability	probability	NOUN
ejpam-6835	293	25	p.	p.	NOUN
ejpam-6835	293	26	theorem	theorem	VERB
ejpam-6835	293	27	9	9	NUM
ejpam-6835	293	28	(	(	PUNCT
ejpam-6835	293	29	distribution	distribution	NOUN
ejpam-6835	293	30	of	of	ADP
ejpam-6835	293	31	fixed	fix	VERB
ejpam-6835	293	32	-	-	PUNCT
ejpam-6835	293	33	size	size	NOUN
ejpam-6835	293	34	hyperedges	hyperedge	NOUN
ejpam-6835	293	35	)	)	PUNCT
ejpam-6835	293	36	.	.	PUNCT
ejpam-6835	294	1	let	let	VERB
ejpam-6835	294	2	v	v	NOUN
ejpam-6835	294	3	(	(	PUNCT
ejpam-6835	294	4	n	n	CCONJ
ejpam-6835	294	5	)	)	PUNCT
ejpam-6835	294	6	be	be	AUX
ejpam-6835	294	7	the	the	DET
ejpam-6835	294	8	set	set	NOUN
ejpam-6835	294	9	of	of	ADP
ejpam-6835	294	10	n	n	CCONJ
ejpam-6835	294	11	-	-	PUNCT
ejpam-6835	294	12	supervertices	supervertice	NOUN
ejpam-6835	294	13	with	with	ADP
ejpam-6835	294	14	|v	|v	PROPN
ejpam-6835	294	15	(	(	PUNCT
ejpam-6835	294	16	n)|	n)|	PROPN
ejpam-6835	294	17	=	=	SYM
ejpam-6835	294	18	mn	mn	PROPN
ejpam-6835	294	19	,	,	PUNCT
ejpam-6835	294	20	and	and	CCONJ
ejpam-6835	294	21	let	let	VERB
ejpam-6835	294	22	e	e	NOUN
ejpam-6835	294	23	=	=	VERB
ejpam-6835	294	24	ps	ps	PROPN
ejpam-6835	294	25	(	(	PUNCT
ejpam-6835	294	26	v	v	NOUN
ejpam-6835	294	27	(	(	PUNCT
ejpam-6835	294	28	n	n	CCONJ
ejpam-6835	294	29	)	)	PUNCT
ejpam-6835	294	30	)	)	PUNCT
ejpam-6835	295	1	\	\	NOUN
ejpam-6835	296	1	{	{	PUNCT
ejpam-6835	296	2	∅	∅	NOUN
ejpam-6835	296	3	}	}	PUNCT
ejpam-6835	296	4	be	be	AUX
ejpam-6835	296	5	the	the	DET
ejpam-6835	296	6	set	set	NOUN
ejpam-6835	296	7	of	of	ADP
ejpam-6835	296	8	all	all	DET
ejpam-6835	296	9	potential	potential	ADJ
ejpam-6835	296	10	hyperedges	hyperedge	NOUN
ejpam-6835	296	11	.	.	PUNCT
ejpam-6835	297	1	for	for	ADP
ejpam-6835	297	2	any	any	DET
ejpam-6835	297	3	integer	integer	NOUN
ejpam-6835	297	4	r	r	NOUN
ejpam-6835	297	5	with	with	ADP
ejpam-6835	297	6	1	1	NUM
ejpam-6835	297	7	≤	≤	NOUN
ejpam-6835	297	8	r	r	NOUN
ejpam-6835	297	9	≤mn	≤mn	NOUN
ejpam-6835	297	10	,	,	PUNCT
ejpam-6835	297	11	set	set	PROPN
ejpam-6835	297	12	mn	mn	PROPN
ejpam-6835	297	13	,	,	PUNCT
ejpam-6835	297	14	r	r	NOUN
ejpam-6835	297	15	=	=	SYM
ejpam-6835	297	16	(	(	PUNCT
ejpam-6835	297	17	mn	mn	NOUN
ejpam-6835	297	18	r	r	NOUN
ejpam-6835	297	19	)	)	PUNCT
ejpam-6835	297	20	,	,	PUNCT
ejpam-6835	297	21	yr	yr	NOUN
ejpam-6835	297	22	=	=	PUNCT
ejpam-6835	297	23	∣∣	∣∣	X
ejpam-6835	297	24	{	{	PUNCT
ejpam-6835	297	25	e	e	PROPN
ejpam-6835	297	26	∈	∈	PROPN
ejpam-6835	297	27	e	e	NOUN
ejpam-6835	297	28	:	:	PUNCT
ejpam-6835	297	29	|e|	|e|	ADJ
ejpam-6835	297	30	=	=	SYM
ejpam-6835	297	31	r	r	NOUN
ejpam-6835	297	32	}	}	PUNCT
ejpam-6835	297	33	∣∣.	∣∣.	NOUN
ejpam-6835	297	34	then	then	ADV
ejpam-6835	297	35	yr	yr	VERB
ejpam-6835	297	36	∼	∼	NOUN
ejpam-6835	297	37	binomial	binomial	NOUN
ejpam-6835	297	38	(	(	PUNCT
ejpam-6835	297	39	mn	mn	PROPN
ejpam-6835	297	40	,	,	PUNCT
ejpam-6835	297	41	r	r	NOUN
ejpam-6835	297	42	,	,	PUNCT
ejpam-6835	297	43	p	p	NOUN
ejpam-6835	297	44	)	)	PUNCT
ejpam-6835	297	45	,	,	PUNCT
ejpam-6835	297	46	with	with	ADP
ejpam-6835	297	47	e[yr	e[yr	PROPN
ejpam-6835	297	48	]	]	X
ejpam-6835	297	49	=	=	SYM
ejpam-6835	297	50	pmn	pmn	PROPN
ejpam-6835	297	51	,	,	PUNCT
ejpam-6835	297	52	r	r	NOUN
ejpam-6835	297	53	and	and	CCONJ
ejpam-6835	297	54	var(yr	var(yr	NOUN
ejpam-6835	297	55	)	)	PUNCT
ejpam-6835	297	56	=	=	SYM
ejpam-6835	298	1	p(1−	p(1−	PROPN
ejpam-6835	298	2	p)mn	p)mn	PROPN
ejpam-6835	298	3	,	,	PUNCT
ejpam-6835	298	4	r.	r.	PROPN
ejpam-6835	298	5	t.	t.	PROPN
ejpam-6835	298	6	fujita	fujita	PROPN
ejpam-6835	298	7	,	,	PUNCT
ejpam-6835	298	8	f.	f.	PROPN
ejpam-6835	298	9	smarandache	smarandache	PROPN
ejpam-6835	298	10	/	/	SYM
ejpam-6835	298	11	eur	eur	PROPN
ejpam-6835	298	12	.	.	PUNCT
ejpam-6835	299	1	j.	j.	PROPN
ejpam-6835	299	2	pure	pure	PROPN
ejpam-6835	299	3	appl	appl	PROPN
ejpam-6835	299	4	.	.	PROPN
ejpam-6835	299	5	math	math	PROPN
ejpam-6835	299	6	,	,	PUNCT
ejpam-6835	299	7	18	18	NUM
ejpam-6835	299	8	(	(	PUNCT
ejpam-6835	299	9	4	4	NUM
ejpam-6835	299	10	)	)	PUNCT
ejpam-6835	299	11	(	(	PUNCT
ejpam-6835	299	12	2025	2025	NUM
ejpam-6835	299	13	)	)	PUNCT
ejpam-6835	299	14	,	,	PUNCT
ejpam-6835	299	15	6835	6835	NUM
ejpam-6835	299	16	14	14	NUM
ejpam-6835	299	17	of	of	ADP
ejpam-6835	299	18	29	29	NUM
ejpam-6835	299	19	proof	proof	NOUN
ejpam-6835	299	20	.	.	PUNCT
ejpam-6835	300	1	there	there	PRON
ejpam-6835	300	2	are	be	VERB
ejpam-6835	300	3	(	(	PUNCT
ejpam-6835	300	4	mn	mn	NOUN
ejpam-6835	300	5	r	r	NOUN
ejpam-6835	300	6	)	)	PUNCT
ejpam-6835	300	7	=	=	SYM
ejpam-6835	300	8	mn	mn	PROPN
ejpam-6835	300	9	,	,	PUNCT
ejpam-6835	300	10	r	r	NOUN
ejpam-6835	300	11	possible	possible	ADJ
ejpam-6835	300	12	hyperedges	hyperedge	NOUN
ejpam-6835	300	13	of	of	ADP
ejpam-6835	300	14	size	size	NOUN
ejpam-6835	300	15	r	r	NOUN
ejpam-6835	300	16	,	,	PUNCT
ejpam-6835	300	17	each	each	PRON
ejpam-6835	300	18	included	include	VERB
ejpam-6835	300	19	independently	independently	ADV
ejpam-6835	300	20	with	with	ADP
ejpam-6835	300	21	probability	probability	NOUN
ejpam-6835	300	22	p.	p.	NOUN
ejpam-6835	300	23	hence	hence	ADV
ejpam-6835	300	24	the	the	DET
ejpam-6835	300	25	count	count	NOUN
ejpam-6835	300	26	yr	yr	NOUN
ejpam-6835	300	27	follows	follow	VERB
ejpam-6835	300	28	a	a	DET
ejpam-6835	300	29	binomial(mn	binomial(mn	NOUN
ejpam-6835	300	30	,	,	PUNCT
ejpam-6835	300	31	r	r	NOUN
ejpam-6835	300	32	,	,	PUNCT
ejpam-6835	300	33	p	p	NOUN
ejpam-6835	300	34	)	)	PUNCT
ejpam-6835	300	35	distribution	distribution	NOUN
ejpam-6835	300	36	,	,	PUNCT
ejpam-6835	300	37	from	from	ADP
ejpam-6835	300	38	which	which	PRON
ejpam-6835	300	39	the	the	DET
ejpam-6835	300	40	stated	stated	ADJ
ejpam-6835	300	41	expectation	expectation	NOUN
ejpam-6835	300	42	and	and	CCONJ
ejpam-6835	300	43	variance	variance	NOUN
ejpam-6835	300	44	follow	follow	NOUN
ejpam-6835	300	45	by	by	ADP
ejpam-6835	300	46	standard	standard	ADJ
ejpam-6835	300	47	formulas	formula	NOUN
ejpam-6835	300	48	.	.	PUNCT
ejpam-6835	301	1	theorem	theorem	NOUN
ejpam-6835	301	2	10	10	NUM
ejpam-6835	301	3	(	(	PUNCT
ejpam-6835	301	4	monotonicity	monotonicity	NOUN
ejpam-6835	301	5	in	in	ADP
ejpam-6835	301	6	p	p	NOUN
ejpam-6835	301	7	)	)	PUNCT
ejpam-6835	301	8	.	.	PUNCT
ejpam-6835	302	1	for	for	ADP
ejpam-6835	302	2	any	any	DET
ejpam-6835	302	3	0	0	NUM
ejpam-6835	302	4	≤	≤	NOUN
ejpam-6835	302	5	p1	p1	NOUN
ejpam-6835	302	6	<	<	X
ejpam-6835	302	7	p2	p2	X
ejpam-6835	302	8	≤	≤	ADV
ejpam-6835	302	9	1	1	NUM
ejpam-6835	302	10	,	,	PUNCT
ejpam-6835	302	11	one	one	PRON
ejpam-6835	302	12	can	can	AUX
ejpam-6835	302	13	couple	couple	NOUN
ejpam-6835	302	14	suhg(n)(v0	suhg(n)(v0	ADJ
ejpam-6835	302	15	,	,	PUNCT
ejpam-6835	302	16	p1	p1	NOUN
ejpam-6835	302	17	)	)	PUNCT
ejpam-6835	302	18	and	and	CCONJ
ejpam-6835	302	19	suhg(n)(v0	suhg(n)(v0	VERB
ejpam-6835	302	20	,	,	PUNCT
ejpam-6835	302	21	p2	p2	PROPN
ejpam-6835	302	22	)	)	PUNCT
ejpam-6835	302	23	so	so	SCONJ
ejpam-6835	302	24	that	that	SCONJ
ejpam-6835	302	25	,	,	PUNCT
ejpam-6835	302	26	almost	almost	ADV
ejpam-6835	302	27	surely	surely	ADV
ejpam-6835	302	28	,	,	PUNCT
ejpam-6835	302	29	e(p1	e(p1	NOUN
ejpam-6835	302	30	)	)	PUNCT
ejpam-6835	303	1	⊆	⊆	NUM
ejpam-6835	303	2	e(p2	e(p2	NOUN
ejpam-6835	303	3	)	)	PUNCT
ejpam-6835	303	4	,	,	PUNCT
ejpam-6835	303	5	where	where	SCONJ
ejpam-6835	303	6	e(pi	e(pi	NOUN
ejpam-6835	303	7	)	)	PUNCT
ejpam-6835	303	8	is	be	AUX
ejpam-6835	303	9	the	the	DET
ejpam-6835	303	10	edge	edge	NOUN
ejpam-6835	303	11	-	-	PUNCT
ejpam-6835	303	12	set	set	VERB
ejpam-6835	303	13	under	under	ADP
ejpam-6835	303	14	parameter	parameter	NOUN
ejpam-6835	303	15	pi	pi	NOUN
ejpam-6835	303	16	.	.	PUNCT
ejpam-6835	304	1	proof	proof	NOUN
ejpam-6835	304	2	.	.	PUNCT
ejpam-6835	305	1	assign	assign	VERB
ejpam-6835	305	2	each	each	DET
ejpam-6835	305	3	potential	potential	ADJ
ejpam-6835	305	4	hyperedge	hyperedge	NOUN
ejpam-6835	305	5	e	e	X
ejpam-6835	305	6	∈	∈	NOUN
ejpam-6835	305	7	e	e	X
ejpam-6835	305	8	an	an	DET
ejpam-6835	305	9	independent	independent	ADJ
ejpam-6835	305	10	ue	ue	ADJ
ejpam-6835	305	11	∼	∼	NOUN
ejpam-6835	305	12	uniform(0	uniform(0	NOUN
ejpam-6835	305	13	,	,	PUNCT
ejpam-6835	305	14	1	1	NUM
ejpam-6835	305	15	)	)	PUNCT
ejpam-6835	305	16	.	.	PUNCT
ejpam-6835	306	1	then	then	ADV
ejpam-6835	306	2	define	define	VERB
ejpam-6835	306	3	e(pi	e(pi	NOUN
ejpam-6835	306	4	)	)	PUNCT
ejpam-6835	306	5	=	=	PRON
ejpam-6835	306	6	{	{	PUNCT
ejpam-6835	306	7	e	e	X
ejpam-6835	306	8	∈	∈	PROPN
ejpam-6835	306	9	e	e	X
ejpam-6835	306	10	|	|	ADV
ejpam-6835	306	11	ue	ue	INTJ
ejpam-6835	306	12	≤	≤	NUM
ejpam-6835	306	13	pi	pi	NOUN
ejpam-6835	306	14	}	}	PUNCT
ejpam-6835	306	15	,	,	PUNCT
ejpam-6835	306	16	i	i	PRON
ejpam-6835	306	17	=	=	NOUN
ejpam-6835	306	18	1	1	NUM
ejpam-6835	306	19	,	,	PUNCT
ejpam-6835	306	20	2	2	NUM
ejpam-6835	306	21	.	.	PUNCT
ejpam-6835	306	22	since	since	SCONJ
ejpam-6835	306	23	p1	p1	PROPN
ejpam-6835	306	24	<	<	X
ejpam-6835	306	25	p2	p2	PROPN
ejpam-6835	306	26	implies	imply	VERB
ejpam-6835	306	27	{	{	PUNCT
ejpam-6835	306	28	ue	ue	ADJ
ejpam-6835	306	29	≤	≤	PROPN
ejpam-6835	306	30	p1	p1	NOUN
ejpam-6835	306	31	}	}	PUNCT
ejpam-6835	306	32	⊆	⊆	NUM
ejpam-6835	306	33	{	{	PUNCT
ejpam-6835	306	34	ue	ue	ADJ
ejpam-6835	306	35	≤	≤	ADJ
ejpam-6835	306	36	p2	p2	NOUN
ejpam-6835	306	37	}	}	PUNCT
ejpam-6835	306	38	for	for	ADP
ejpam-6835	306	39	each	each	DET
ejpam-6835	306	40	e	e	NOUN
ejpam-6835	306	41	,	,	PUNCT
ejpam-6835	306	42	we	we	PRON
ejpam-6835	306	43	have	have	VERB
ejpam-6835	306	44	e(p1	e(p1	NOUN
ejpam-6835	306	45	)	)	PUNCT
ejpam-6835	307	1	⊆	⊆	NUM
ejpam-6835	307	2	e(p2	e(p2	NOUN
ejpam-6835	307	3	)	)	PUNCT
ejpam-6835	307	4	almost	almost	ADV
ejpam-6835	307	5	surely	surely	ADV
ejpam-6835	307	6	.	.	PUNCT
ejpam-6835	308	1	marginally	marginally	ADV
ejpam-6835	308	2	,	,	PUNCT
ejpam-6835	308	3	each	each	DET
ejpam-6835	308	4	e(pi	e(pi	NUM
ejpam-6835	308	5	)	)	PUNCT
ejpam-6835	308	6	has	have	VERB
ejpam-6835	308	7	the	the	DET
ejpam-6835	308	8	law	law	NOUN
ejpam-6835	308	9	of	of	ADP
ejpam-6835	308	10	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	308	11	,	,	PUNCT
ejpam-6835	308	12	pi	pi	NOUN
ejpam-6835	308	13	)	)	PUNCT
ejpam-6835	308	14	.	.	PUNCT
ejpam-6835	309	1	theorem	theorem	ADJ
ejpam-6835	309	2	11	11	NUM
ejpam-6835	309	3	(	(	PUNCT
ejpam-6835	309	4	vertex	vertex	NOUN
ejpam-6835	309	5	degree	degree	NOUN
ejpam-6835	309	6	distribution	distribution	NOUN
ejpam-6835	309	7	)	)	PUNCT
ejpam-6835	309	8	.	.	PUNCT
ejpam-6835	310	1	let	let	VERB
ejpam-6835	310	2	suhg(n)(v0	suhg(n)(v0	ADJ
ejpam-6835	310	3	,	,	PUNCT
ejpam-6835	310	4	p	p	X
ejpam-6835	310	5	)	)	PUNCT
ejpam-6835	310	6	=	=	SYM
ejpam-6835	310	7	(	(	PUNCT
ejpam-6835	310	8	v	v	NOUN
ejpam-6835	310	9	(	(	PUNCT
ejpam-6835	310	10	n	n	CCONJ
ejpam-6835	310	11	)	)	PUNCT
ejpam-6835	310	12	,	,	PUNCT
ejpam-6835	310	13	e	e	X
ejpam-6835	310	14	)	)	PUNCT
ejpam-6835	310	15	and	and	CCONJ
ejpam-6835	310	16	write	write	VERB
ejpam-6835	310	17	mn	mn	PROPN
ejpam-6835	311	1	=	=	PUNCT
ejpam-6835	311	2	|v	|v	PROPN
ejpam-6835	311	3	(	(	PUNCT
ejpam-6835	311	4	n)|	n)|	PROPN
ejpam-6835	311	5	.	.	PROPN
ejpam-6835	312	1	for	for	ADP
ejpam-6835	312	2	each	each	DET
ejpam-6835	312	3	v	v	NUM
ejpam-6835	312	4	∈	∈	PROPN
ejpam-6835	312	5	v	v	NOUN
ejpam-6835	312	6	(	(	PUNCT
ejpam-6835	312	7	n	n	CCONJ
ejpam-6835	312	8	)	)	PUNCT
ejpam-6835	312	9	,	,	PUNCT
ejpam-6835	312	10	define	define	VERB
ejpam-6835	312	11	its	its	PRON
ejpam-6835	312	12	degree	degree	NOUN
ejpam-6835	312	13	deg(v	deg(v	NOUN
ejpam-6835	312	14	)	)	PUNCT
ejpam-6835	312	15	=	=	PUNCT
ejpam-6835	313	1	∣∣	∣∣	X
ejpam-6835	313	2	{	{	PUNCT
ejpam-6835	313	3	e	e	PROPN
ejpam-6835	313	4	∈	∈	PROPN
ejpam-6835	313	5	e	e	NOUN
ejpam-6835	313	6	:	:	PUNCT
ejpam-6835	313	7	v	v	NUM
ejpam-6835	313	8	∈	∈	PROPN
ejpam-6835	313	9	e	e	NOUN
ejpam-6835	313	10	}	}	PUNCT
ejpam-6835	313	11	∣∣.	∣∣.	NOUN
ejpam-6835	313	12	then	then	ADV
ejpam-6835	313	13	deg(v	deg(v	PROPN
ejpam-6835	313	14	)	)	PUNCT
ejpam-6835	313	15	∼	∼	NOUN
ejpam-6835	313	16	binomial	binomial	NOUN
ejpam-6835	313	17	(	(	PUNCT
ejpam-6835	313	18	2mn−1	2mn−1	NUM
ejpam-6835	313	19	,	,	PUNCT
ejpam-6835	313	20	p	p	NOUN
ejpam-6835	313	21	)	)	PUNCT
ejpam-6835	313	22	,	,	PUNCT
ejpam-6835	313	23	so	so	ADV
ejpam-6835	313	24	e[deg(v	e[deg(v	NOUN
ejpam-6835	313	25	)	)	PUNCT
ejpam-6835	313	26	]	]	PUNCT
ejpam-6835	314	1	=	=	PUNCT
ejpam-6835	314	2	p	p	X
ejpam-6835	314	3	2mn−1	2mn−1	NUM
ejpam-6835	314	4	,	,	PUNCT
ejpam-6835	314	5	var[deg(v	var[deg(v	PROPN
ejpam-6835	314	6	)	)	PUNCT
ejpam-6835	314	7	]	]	PUNCT
ejpam-6835	315	1	=	=	PUNCT
ejpam-6835	315	2	p(1−	p(1−	PROPN
ejpam-6835	315	3	p	p	NOUN
ejpam-6835	315	4	)	)	PUNCT
ejpam-6835	315	5	2mn−1	2mn−1	NUM
ejpam-6835	315	6	,	,	PUNCT
ejpam-6835	315	7	and	and	CCONJ
ejpam-6835	315	8	,	,	PUNCT
ejpam-6835	315	9	as	as	ADP
ejpam-6835	315	10	mn	mn	PROPN
ejpam-6835	315	11	→	→	SYM
ejpam-6835	315	12	∞	∞	PROPN
ejpam-6835	315	13	,	,	PUNCT
ejpam-6835	315	14	the	the	DET
ejpam-6835	315	15	normalized	normalize	VERB
ejpam-6835	315	16	degree	degree	NOUN
ejpam-6835	315	17	(	(	PUNCT
ejpam-6835	315	18	deg(v	deg(v	PROPN
ejpam-6835	315	19	)	)	PUNCT
ejpam-6835	315	20	−	−	PROPN
ejpam-6835	315	21	p2mn−1	p2mn−1	PROPN
ejpam-6835	315	22	)	)	PUNCT
ejpam-6835	315	23	/	/	SYM
ejpam-6835	315	24	√	√	PROPN
ejpam-6835	315	25	p(1−	p(1−	PROPN
ejpam-6835	315	26	p	p	NOUN
ejpam-6835	315	27	)	)	PUNCT
ejpam-6835	315	28	2mn−1	2mn−1	PROPN
ejpam-6835	315	29	converges	converge	NOUN
ejpam-6835	315	30	in	in	ADP
ejpam-6835	315	31	distribution	distribution	NOUN
ejpam-6835	315	32	to	to	ADP
ejpam-6835	315	33	n	n	PROPN
ejpam-6835	315	34	(	(	PUNCT
ejpam-6835	315	35	0	0	NUM
ejpam-6835	315	36	,	,	PUNCT
ejpam-6835	315	37	1	1	NUM
ejpam-6835	315	38	)	)	PUNCT
ejpam-6835	315	39	.	.	PUNCT
ejpam-6835	316	1	proof	proof	NOUN
ejpam-6835	316	2	.	.	PUNCT
ejpam-6835	317	1	each	each	DET
ejpam-6835	317	2	potential	potential	ADJ
ejpam-6835	317	3	hyperedge	hyperedge	NOUN
ejpam-6835	317	4	e	e	NOUN
ejpam-6835	317	5	⊆	⊆	NUM
ejpam-6835	317	6	v	v	ADP
ejpam-6835	317	7	(	(	PUNCT
ejpam-6835	317	8	n	n	CCONJ
ejpam-6835	317	9	)	)	PUNCT
ejpam-6835	317	10	includes	include	VERB
ejpam-6835	317	11	v	v	NOUN
ejpam-6835	317	12	with	with	ADP
ejpam-6835	317	13	probability	probability	NOUN
ejpam-6835	317	14	1/2	1/2	NUM
ejpam-6835	317	15	independently	independently	ADV
ejpam-6835	317	16	of	of	ADP
ejpam-6835	317	17	other	other	ADJ
ejpam-6835	317	18	vertices	vertex	NOUN
ejpam-6835	317	19	,	,	PUNCT
ejpam-6835	317	20	so	so	SCONJ
ejpam-6835	317	21	there	there	PRON
ejpam-6835	317	22	are	be	VERB
ejpam-6835	317	23	2mn−1	2mn−1	NUM
ejpam-6835	317	24	such	such	ADJ
ejpam-6835	317	25	hyperedges	hyperedge	NOUN
ejpam-6835	317	26	.	.	PUNCT
ejpam-6835	318	1	since	since	SCONJ
ejpam-6835	318	2	each	each	PRON
ejpam-6835	318	3	is	be	AUX
ejpam-6835	318	4	present	present	ADJ
ejpam-6835	318	5	in	in	ADP
ejpam-6835	318	6	e	e	NOUN
ejpam-6835	318	7	with	with	ADP
ejpam-6835	318	8	probability	probability	NOUN
ejpam-6835	318	9	p	p	X
ejpam-6835	318	10	,	,	PUNCT
ejpam-6835	318	11	deg(v	deg(v	PROPN
ejpam-6835	318	12	)	)	PUNCT
ejpam-6835	318	13	is	be	AUX
ejpam-6835	318	14	binomial(2mn−1	binomial(2mn−1	ADJ
ejpam-6835	318	15	,	,	PUNCT
ejpam-6835	318	16	p	p	NOUN
ejpam-6835	318	17	)	)	PUNCT
ejpam-6835	318	18	.	.	PUNCT
ejpam-6835	319	1	the	the	DET
ejpam-6835	319	2	stated	state	VERB
ejpam-6835	319	3	moments	moment	NOUN
ejpam-6835	319	4	and	and	CCONJ
ejpam-6835	319	5	clt	clt	PROPN
ejpam-6835	319	6	then	then	ADV
ejpam-6835	319	7	follow	follow	VERB
ejpam-6835	319	8	by	by	ADP
ejpam-6835	319	9	standard	standard	ADJ
ejpam-6835	319	10	properties	property	NOUN
ejpam-6835	319	11	.	.	PUNCT
ejpam-6835	320	1	definition	definition	NOUN
ejpam-6835	320	2	10	10	NUM
ejpam-6835	320	3	(	(	PUNCT
ejpam-6835	320	4	2	2	NUM
ejpam-6835	320	5	-	-	PUNCT
ejpam-6835	320	6	section	section	NOUN
ejpam-6835	320	7	graph	graph	NOUN
ejpam-6835	320	8	)	)	PUNCT
ejpam-6835	320	9	.	.	PUNCT
ejpam-6835	321	1	given	give	VERB
ejpam-6835	321	2	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	321	3	,	,	PUNCT
ejpam-6835	321	4	p	p	NOUN
ejpam-6835	321	5	)	)	PUNCT
ejpam-6835	321	6	=	=	SYM
ejpam-6835	321	7	(	(	PUNCT
ejpam-6835	321	8	v	v	NOUN
ejpam-6835	321	9	(	(	PUNCT
ejpam-6835	321	10	n	n	CCONJ
ejpam-6835	321	11	)	)	PUNCT
ejpam-6835	321	12	,	,	PUNCT
ejpam-6835	321	13	e	e	NOUN
ejpam-6835	321	14	)	)	PUNCT
ejpam-6835	321	15	,	,	PUNCT
ejpam-6835	321	16	its	its	PRON
ejpam-6835	321	17	2	2	NUM
ejpam-6835	321	18	-	-	PUNCT
ejpam-6835	321	19	section	section	NOUN
ejpam-6835	321	20	g2	g2	PROPN
ejpam-6835	321	21	is	be	AUX
ejpam-6835	321	22	the	the	DET
ejpam-6835	321	23	simple	simple	ADJ
ejpam-6835	321	24	graph	graph	NOUN
ejpam-6835	321	25	on	on	ADP
ejpam-6835	321	26	v	v	NOUN
ejpam-6835	321	27	(	(	PUNCT
ejpam-6835	321	28	n	n	CCONJ
ejpam-6835	321	29	)	)	PUNCT
ejpam-6835	321	30	where	where	SCONJ
ejpam-6835	321	31	{	{	PUNCT
ejpam-6835	321	32	u	u	NOUN
ejpam-6835	321	33	,	,	PUNCT
ejpam-6835	321	34	v	v	NOUN
ejpam-6835	321	35	}	}	PUNCT
ejpam-6835	321	36	is	be	AUX
ejpam-6835	321	37	an	an	DET
ejpam-6835	321	38	edge	edge	NOUN
ejpam-6835	321	39	of	of	ADP
ejpam-6835	321	40	g2	g2	PROPN
ejpam-6835	321	41	if	if	SCONJ
ejpam-6835	321	42	and	and	CCONJ
ejpam-6835	321	43	only	only	ADV
ejpam-6835	321	44	if	if	SCONJ
ejpam-6835	321	45	there	there	PRON
ejpam-6835	321	46	exists	exist	VERB
ejpam-6835	321	47	e	e	X
ejpam-6835	321	48	∈	∈	PROPN
ejpam-6835	321	49	e	e	X
ejpam-6835	321	50	with	with	ADP
ejpam-6835	321	51	{	{	PUNCT
ejpam-6835	321	52	u	u	NOUN
ejpam-6835	321	53	,	,	PUNCT
ejpam-6835	321	54	v	v	NOUN
ejpam-6835	321	55	}	}	PUNCT
ejpam-6835	321	56	⊆	⊆	NUM
ejpam-6835	321	57	e.	e.	PROPN
ejpam-6835	321	58	example	example	NOUN
ejpam-6835	321	59	12	12	NUM
ejpam-6835	321	60	(	(	PUNCT
ejpam-6835	321	61	2	2	NUM
ejpam-6835	321	62	-	-	PUNCT
ejpam-6835	321	63	section	section	NOUN
ejpam-6835	321	64	graph	graph	NOUN
ejpam-6835	321	65	of	of	ADP
ejpam-6835	321	66	a	a	DET
ejpam-6835	321	67	2	2	NUM
ejpam-6835	321	68	-	-	PUNCT
ejpam-6835	321	69	superhypergraph	superhypergraph	NOUN
ejpam-6835	321	70	)	)	PUNCT
ejpam-6835	321	71	.	.	PUNCT
ejpam-6835	322	1	recall	recall	VERB
ejpam-6835	322	2	the	the	DET
ejpam-6835	322	3	2	2	NUM
ejpam-6835	322	4	-	-	PUNCT
ejpam-6835	322	5	superhypergraph	superhypergraph	NOUN
ejpam-6835	322	6	from	from	ADP
ejpam-6835	322	7	the	the	DET
ejpam-6835	322	8	company	company	NOUN
ejpam-6835	322	9	task	task	NOUN
ejpam-6835	322	10	-	-	PUNCT
ejpam-6835	322	11	force	force	NOUN
ejpam-6835	322	12	example	example	NOUN
ejpam-6835	322	13	:	:	PUNCT
ejpam-6835	322	14	v	v	X
ejpam-6835	322	15	(	(	PUNCT
ejpam-6835	322	16	2	2	NUM
ejpam-6835	322	17	)	)	PUNCT
ejpam-6835	322	18	=	=	NOUN
ejpam-6835	322	19	{	{	PUNCT
ejpam-6835	322	20	v1	v1	PROPN
ejpam-6835	322	21	,	,	PUNCT
ejpam-6835	322	22	v2	v2	PROPN
ejpam-6835	322	23	,	,	PUNCT
ejpam-6835	322	24	v3	v3	PROPN
ejpam-6835	322	25	}	}	PUNCT
ejpam-6835	322	26	,	,	PUNCT
ejpam-6835	322	27	t.	t.	PROPN
ejpam-6835	322	28	fujita	fujita	PROPN
ejpam-6835	322	29	,	,	PUNCT
ejpam-6835	322	30	f.	f.	PROPN
ejpam-6835	322	31	smarandache	smarandache	PROPN
ejpam-6835	322	32	/	/	SYM
ejpam-6835	322	33	eur	eur	PROPN
ejpam-6835	322	34	.	.	PUNCT
ejpam-6835	323	1	j.	j.	PROPN
ejpam-6835	323	2	pure	pure	PROPN
ejpam-6835	323	3	appl	appl	PROPN
ejpam-6835	323	4	.	.	PROPN
ejpam-6835	323	5	math	math	PROPN
ejpam-6835	323	6	,	,	PUNCT
ejpam-6835	323	7	18	18	NUM
ejpam-6835	323	8	(	(	PUNCT
ejpam-6835	323	9	4	4	NUM
ejpam-6835	323	10	)	)	PUNCT
ejpam-6835	323	11	(	(	PUNCT
ejpam-6835	323	12	2025	2025	NUM
ejpam-6835	323	13	)	)	PUNCT
ejpam-6835	323	14	,	,	PUNCT
ejpam-6835	323	15	6835	6835	NUM
ejpam-6835	323	16	15	15	NUM
ejpam-6835	323	17	of	of	ADP
ejpam-6835	323	18	29	29	NUM
ejpam-6835	323	19	where	where	SCONJ
ejpam-6835	323	20	v1	v1	NOUN
ejpam-6835	323	21	=	=	SYM
ejpam-6835	323	22	{	{	PUNCT
ejpam-6835	323	23	teamxxx	teamxxx	NOUN
ejpam-6835	323	24	}	}	PUNCT
ejpam-6835	323	25	,	,	PUNCT
ejpam-6835	323	26	v2	v2	PROPN
ejpam-6835	323	27	=	=	SYM
ejpam-6835	323	28	{	{	PUNCT
ejpam-6835	323	29	teamyyy	teamyyy	NOUN
ejpam-6835	323	30	}	}	PUNCT
ejpam-6835	323	31	,	,	PUNCT
ejpam-6835	323	32	v3	v3	PROPN
ejpam-6835	323	33	=	=	SYM
ejpam-6835	323	34	{	{	PUNCT
ejpam-6835	323	35	teamxxx	teamxxx	ADJ
ejpam-6835	323	36	,	,	PUNCT
ejpam-6835	323	37	teamyyy	teamyyy	NOUN
ejpam-6835	323	38	}	}	PUNCT
ejpam-6835	323	39	,	,	PUNCT
ejpam-6835	323	40	and	and	CCONJ
ejpam-6835	323	41	the	the	DET
ejpam-6835	323	42	hyperedge	hyperedge	NOUN
ejpam-6835	323	43	set	set	VERB
ejpam-6835	323	44	is	be	AUX
ejpam-6835	323	45	e	e	NOUN
ejpam-6835	323	46	=	=	X
ejpam-6835	323	47	{	{	PUNCT
ejpam-6835	323	48	{	{	PUNCT
ejpam-6835	323	49	v1	v1	NOUN
ejpam-6835	323	50	,	,	PUNCT
ejpam-6835	323	51	v3	v3	PROPN
ejpam-6835	323	52	}	}	PUNCT
ejpam-6835	323	53	,	,	PUNCT
ejpam-6835	323	54	{	{	PUNCT
ejpam-6835	323	55	v2	v2	NOUN
ejpam-6835	323	56	,	,	PUNCT
ejpam-6835	323	57	v3	v3	PROPN
ejpam-6835	323	58	}	}	PUNCT
ejpam-6835	323	59	}	}	PUNCT
ejpam-6835	323	60	.	.	PUNCT
ejpam-6835	324	1	its	its	PRON
ejpam-6835	324	2	2	2	NUM
ejpam-6835	324	3	-	-	PUNCT
ejpam-6835	324	4	section	section	NOUN
ejpam-6835	324	5	graph	graph	NOUN
ejpam-6835	324	6	g2	g2	PROPN
ejpam-6835	324	7	=	=	PUNCT
ejpam-6835	324	8	(	(	PUNCT
ejpam-6835	324	9	v	v	NOUN
ejpam-6835	324	10	(	(	PUNCT
ejpam-6835	324	11	2	2	NUM
ejpam-6835	324	12	)	)	PUNCT
ejpam-6835	324	13	,	,	PUNCT
ejpam-6835	324	14	e2	e2	PROPN
ejpam-6835	324	15	)	)	PUNCT
ejpam-6835	324	16	has	have	VERB
ejpam-6835	324	17	the	the	DET
ejpam-6835	324	18	same	same	ADJ
ejpam-6835	324	19	vertex	vertex	NOUN
ejpam-6835	324	20	set	set	VERB
ejpam-6835	324	21	v	v	NOUN
ejpam-6835	324	22	(	(	PUNCT
ejpam-6835	324	23	2	2	NUM
ejpam-6835	324	24	)	)	PUNCT
ejpam-6835	324	25	and	and	CCONJ
ejpam-6835	324	26	an	an	DET
ejpam-6835	324	27	edge	edge	NOUN
ejpam-6835	324	28	between	between	ADP
ejpam-6835	324	29	any	any	DET
ejpam-6835	324	30	two	two	NUM
ejpam-6835	324	31	vertices	vertex	NOUN
ejpam-6835	324	32	that	that	PRON
ejpam-6835	324	33	appear	appear	VERB
ejpam-6835	324	34	together	together	ADV
ejpam-6835	324	35	in	in	ADP
ejpam-6835	324	36	some	some	DET
ejpam-6835	324	37	hyperedge	hyperedge	NOUN
ejpam-6835	324	38	.	.	PUNCT
ejpam-6835	325	1	hence	hence	ADV
ejpam-6835	325	2	e2	e2	PROPN
ejpam-6835	325	3	=	=	PUNCT
ejpam-6835	325	4	{	{	PUNCT
ejpam-6835	325	5	{	{	PUNCT
ejpam-6835	325	6	v1	v1	NOUN
ejpam-6835	325	7	,	,	PUNCT
ejpam-6835	325	8	v3	v3	PROPN
ejpam-6835	325	9	}	}	PUNCT
ejpam-6835	325	10	,	,	PUNCT
ejpam-6835	325	11	{	{	PUNCT
ejpam-6835	325	12	v2	v2	NOUN
ejpam-6835	325	13	,	,	PUNCT
ejpam-6835	325	14	v3	v3	PROPN
ejpam-6835	325	15	}	}	PUNCT
ejpam-6835	325	16	}	}	PUNCT
ejpam-6835	325	17	.	.	PUNCT
ejpam-6835	326	1	in	in	ADP
ejpam-6835	326	2	other	other	ADJ
ejpam-6835	326	3	words	word	NOUN
ejpam-6835	326	4	,	,	PUNCT
ejpam-6835	326	5	g2	g2	PROPN
ejpam-6835	326	6	is	be	AUX
ejpam-6835	326	7	the	the	DET
ejpam-6835	326	8	simple	simple	ADJ
ejpam-6835	326	9	path	path	NOUN
ejpam-6835	326	10	v1	v1	PROPN
ejpam-6835	326	11	−	−	PROPN
ejpam-6835	326	12	v3	v3	PROPN
ejpam-6835	326	13	−	−	PROPN
ejpam-6835	326	14	v2	v2	PROPN
ejpam-6835	326	15	,	,	PUNCT
ejpam-6835	326	16	with	with	ADP
ejpam-6835	326	17	v1	v1	NOUN
ejpam-6835	326	18	and	and	CCONJ
ejpam-6835	326	19	v2	v2	VERB
ejpam-6835	326	20	both	both	CCONJ
ejpam-6835	326	21	adjacent	adjacent	ADJ
ejpam-6835	326	22	to	to	ADP
ejpam-6835	326	23	v3	v3	PROPN
ejpam-6835	326	24	but	but	CCONJ
ejpam-6835	326	25	not	not	PART
ejpam-6835	326	26	to	to	ADP
ejpam-6835	326	27	each	each	DET
ejpam-6835	326	28	other	other	ADJ
ejpam-6835	326	29	.	.	PUNCT
ejpam-6835	327	1	theorem	theorem	ADJ
ejpam-6835	327	2	12	12	NUM
ejpam-6835	327	3	(	(	PUNCT
ejpam-6835	327	4	giant	giant	ADJ
ejpam-6835	327	5	-	-	PUNCT
ejpam-6835	327	6	component	component	NOUN
ejpam-6835	327	7	phase	phase	NOUN
ejpam-6835	327	8	transition	transition	NOUN
ejpam-6835	327	9	)	)	PUNCT
ejpam-6835	327	10	.	.	PUNCT
ejpam-6835	328	1	let	let	VERB
ejpam-6835	328	2	g2	g2	PROPN
ejpam-6835	328	3	be	be	AUX
ejpam-6835	328	4	the	the	DET
ejpam-6835	328	5	2	2	NUM
ejpam-6835	328	6	-	-	PUNCT
ejpam-6835	328	7	section	section	NOUN
ejpam-6835	328	8	of	of	ADP
ejpam-6835	328	9	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	328	10	,	,	PUNCT
ejpam-6835	328	11	p	p	NOUN
ejpam-6835	328	12	)	)	PUNCT
ejpam-6835	328	13	.	.	PUNCT
ejpam-6835	329	1	define	define	VERB
ejpam-6835	329	2	p2	p2	PROPN
ejpam-6835	329	3	=	=	SYM
ejpam-6835	329	4	1−	1−	NUM
ejpam-6835	329	5	(	(	PUNCT
ejpam-6835	329	6	1−	1−	NUM
ejpam-6835	329	7	p	p	NOUN
ejpam-6835	329	8	)	)	PUNCT
ejpam-6835	330	1	2mn−2	2mn−2	PROPN
ejpam-6835	330	2	≈	≈	PROPN
ejpam-6835	330	3	p	p	NOUN
ejpam-6835	330	4	2mn−2	2mn−2	PROPN
ejpam-6835	330	5	.	.	PUNCT
ejpam-6835	331	1	•	•	NOUN
ejpam-6835	331	2	if	if	SCONJ
ejpam-6835	331	3	p2	p2	X
ejpam-6835	331	4	=	=	SYM
ejpam-6835	331	5	1−ε	1−ε	NUM
ejpam-6835	331	6	mn	mn	NOUN
ejpam-6835	331	7	for	for	ADP
ejpam-6835	331	8	some	some	DET
ejpam-6835	331	9	fixed	fix	VERB
ejpam-6835	331	10	ε	ε	PROPN
ejpam-6835	331	11	>	>	X
ejpam-6835	331	12	0	0	PROPN
ejpam-6835	331	13	,	,	PUNCT
ejpam-6835	331	14	then	then	ADV
ejpam-6835	331	15	with	with	ADP
ejpam-6835	331	16	high	high	ADJ
ejpam-6835	331	17	probability	probability	NOUN
ejpam-6835	331	18	g2	g2	PROPN
ejpam-6835	331	19	has	have	AUX
ejpam-6835	331	20	all	all	DET
ejpam-6835	331	21	connected	connect	VERB
ejpam-6835	331	22	components	component	NOUN
ejpam-6835	331	23	of	of	ADP
ejpam-6835	331	24	size	size	NOUN
ejpam-6835	331	25	o(logmn	o(logmn	PROPN
ejpam-6835	331	26	)	)	PUNCT
ejpam-6835	331	27	.	.	PUNCT
ejpam-6835	332	1	•	•	INTJ
ejpam-6835	332	2	if	if	SCONJ
ejpam-6835	332	3	p2	p2	X
ejpam-6835	332	4	=	=	SYM
ejpam-6835	332	5	1+ε	1+ε	NUM
ejpam-6835	332	6	mn	mn	NOUN
ejpam-6835	332	7	,	,	PUNCT
ejpam-6835	332	8	then	then	ADV
ejpam-6835	332	9	with	with	ADP
ejpam-6835	332	10	high	high	ADJ
ejpam-6835	332	11	probability	probability	NOUN
ejpam-6835	332	12	g2	g2	PROPN
ejpam-6835	332	13	contains	contain	VERB
ejpam-6835	332	14	a	a	DET
ejpam-6835	332	15	unique	unique	ADJ
ejpam-6835	332	16	“	"	PUNCT
ejpam-6835	332	17	giant	giant	ADJ
ejpam-6835	332	18	”	"	PUNCT
ejpam-6835	332	19	component	component	NOUN
ejpam-6835	332	20	of	of	ADP
ejpam-6835	332	21	size	size	NOUN
ejpam-6835	332	22	θ(mn	θ(mn	PROPN
ejpam-6835	332	23	)	)	PUNCT
ejpam-6835	332	24	,	,	PUNCT
ejpam-6835	332	25	while	while	SCONJ
ejpam-6835	332	26	all	all	DET
ejpam-6835	332	27	other	other	ADJ
ejpam-6835	332	28	components	component	NOUN
ejpam-6835	332	29	are	be	AUX
ejpam-6835	332	30	o(logmn	o(logmn	NOUN
ejpam-6835	332	31	)	)	PUNCT
ejpam-6835	332	32	.	.	PUNCT
ejpam-6835	333	1	proof	proof	NOUN
ejpam-6835	333	2	.	.	PUNCT
ejpam-6835	334	1	for	for	ADP
ejpam-6835	334	2	each	each	DET
ejpam-6835	334	3	pair	pair	NOUN
ejpam-6835	334	4	{	{	PUNCT
ejpam-6835	334	5	u	u	NOUN
ejpam-6835	334	6	,	,	PUNCT
ejpam-6835	334	7	v	v	ADJ
ejpam-6835	334	8	}	}	PUNCT
ejpam-6835	334	9	⊂	⊂	PROPN
ejpam-6835	334	10	v	v	X
ejpam-6835	334	11	(	(	PUNCT
ejpam-6835	334	12	n	n	CCONJ
ejpam-6835	334	13	)	)	PUNCT
ejpam-6835	334	14	,	,	PUNCT
ejpam-6835	334	15	the	the	DET
ejpam-6835	334	16	probability	probability	NOUN
ejpam-6835	334	17	that	that	SCONJ
ejpam-6835	334	18	no	no	DET
ejpam-6835	334	19	hyperedge	hyperedge	NOUN
ejpam-6835	334	20	contains	contain	VERB
ejpam-6835	334	21	both	both	PRON
ejpam-6835	334	22	is	be	AUX
ejpam-6835	334	23	(	(	PUNCT
ejpam-6835	334	24	1−	1−	NUM
ejpam-6835	334	25	p)2	p)2	NOUN
ejpam-6835	334	26	mn−2	mn−2	PROPN
ejpam-6835	334	27	,	,	PUNCT
ejpam-6835	334	28	so	so	CCONJ
ejpam-6835	334	29	in	in	ADP
ejpam-6835	334	30	g2	g2	PROPN
ejpam-6835	334	31	we	we	PRON
ejpam-6835	334	32	have	have	VERB
ejpam-6835	334	33	pr({u	pr({u	ADJ
ejpam-6835	334	34	,	,	PUNCT
ejpam-6835	334	35	v	v	ADJ
ejpam-6835	334	36	}	}	PUNCT
ejpam-6835	334	37	∈	∈	PROPN
ejpam-6835	334	38	e(g2	e(g2	X
ejpam-6835	334	39	)	)	PUNCT
ejpam-6835	334	40	)	)	PUNCT
ejpam-6835	335	1	=	=	NOUN
ejpam-6835	335	2	p2	p2	NOUN
ejpam-6835	335	3	.	.	PUNCT
ejpam-6835	336	1	these	these	DET
ejpam-6835	336	2	events	event	NOUN
ejpam-6835	336	3	are	be	AUX
ejpam-6835	336	4	asymptotically	asymptotically	ADV
ejpam-6835	336	5	independent	independent	ADJ
ejpam-6835	336	6	.	.	PUNCT
ejpam-6835	337	1	thus	thus	ADV
ejpam-6835	337	2	g2	g2	PROPN
ejpam-6835	337	3	behaves	behave	VERB
ejpam-6835	337	4	like	like	ADP
ejpam-6835	337	5	an	an	DET
ejpam-6835	337	6	erdős	erdős	NOUN
ejpam-6835	337	7	–	–	PUNCT
ejpam-6835	337	8	rényi	rényi	NOUN
ejpam-6835	337	9	random	random	ADJ
ejpam-6835	337	10	graph	graph	NOUN
ejpam-6835	337	11	g(mn	g(mn	PROPN
ejpam-6835	337	12	,	,	PUNCT
ejpam-6835	337	13	p2	p2	PROPN
ejpam-6835	337	14	)	)	PUNCT
ejpam-6835	337	15	,	,	PUNCT
ejpam-6835	337	16	which	which	PRON
ejpam-6835	337	17	exhibits	exhibit	VERB
ejpam-6835	337	18	the	the	DET
ejpam-6835	337	19	stated	state	VERB
ejpam-6835	337	20	phase	phase	NOUN
ejpam-6835	337	21	transition	transition	NOUN
ejpam-6835	337	22	at	at	ADP
ejpam-6835	337	23	p2	p2	PROPN
ejpam-6835	337	24	=	=	SYM
ejpam-6835	337	25	1	1	NUM
ejpam-6835	337	26	/	/	SYM
ejpam-6835	337	27	mn	mn	PROPN
ejpam-6835	337	28	by	by	ADP
ejpam-6835	337	29	classical	classical	ADJ
ejpam-6835	337	30	results	result	NOUN
ejpam-6835	337	31	.	.	PUNCT
ejpam-6835	338	1	theorem	theorem	ADJ
ejpam-6835	338	2	13	13	NUM
ejpam-6835	338	3	(	(	PUNCT
ejpam-6835	338	4	connectivity	connectivity	NOUN
ejpam-6835	338	5	threshold	threshold	NOUN
ejpam-6835	338	6	)	)	PUNCT
ejpam-6835	338	7	.	.	PUNCT
ejpam-6835	339	1	with	with	ADP
ejpam-6835	339	2	notation	notation	NOUN
ejpam-6835	339	3	as	as	ADP
ejpam-6835	339	4	above	above	ADV
ejpam-6835	339	5	,	,	PUNCT
ejpam-6835	340	1	if	if	SCONJ
ejpam-6835	340	2	p2	p2	X
ejpam-6835	340	3	=	=	SYM
ejpam-6835	340	4	logmn	logmn	NOUN
ejpam-6835	340	5	+	+	CCONJ
ejpam-6835	340	6	c	c	PROPN
ejpam-6835	340	7	mn	mn	PROPN
ejpam-6835	340	8	for	for	ADP
ejpam-6835	340	9	some	some	DET
ejpam-6835	340	10	constant	constant	ADJ
ejpam-6835	340	11	c	c	NOUN
ejpam-6835	340	12	,	,	PUNCT
ejpam-6835	340	13	then	then	ADV
ejpam-6835	340	14	pr	pr	X
ejpam-6835	340	15	(	(	PUNCT
ejpam-6835	340	16	g2	g2	PROPN
ejpam-6835	340	17	is	be	AUX
ejpam-6835	340	18	connected	connect	VERB
ejpam-6835	340	19	)	)	PUNCT
ejpam-6835	340	20	−→	−→	ADJ
ejpam-6835	340	21	e−e−c	e−e−c	NOUN
ejpam-6835	340	22	(	(	PUNCT
ejpam-6835	340	23	mn	mn	PROPN
ejpam-6835	340	24	→∞	→∞	PROPN
ejpam-6835	340	25	)	)	PUNCT
ejpam-6835	340	26	.	.	PUNCT
ejpam-6835	341	1	equivalently	equivalently	ADV
ejpam-6835	341	2	,	,	PUNCT
ejpam-6835	341	3	in	in	ADP
ejpam-6835	341	4	the	the	DET
ejpam-6835	341	5	original	original	ADJ
ejpam-6835	341	6	model	model	NOUN
ejpam-6835	341	7	this	this	PRON
ejpam-6835	341	8	occurs	occur	VERB
ejpam-6835	341	9	when	when	SCONJ
ejpam-6835	341	10	p	p	NOUN
ejpam-6835	341	11	=	=	NOUN
ejpam-6835	341	12	logmn	logmn	NOUN
ejpam-6835	341	13	+	+	CCONJ
ejpam-6835	341	14	c	c	NOUN
ejpam-6835	341	15	mn	mn	PROPN
ejpam-6835	341	16	2mn−2	2mn−2	PROPN
ejpam-6835	341	17	.	.	PUNCT
ejpam-6835	342	1	proof	proof	NOUN
ejpam-6835	342	2	.	.	PUNCT
ejpam-6835	343	1	again	again	ADV
ejpam-6835	343	2	g2	g2	PROPN
ejpam-6835	343	3	≈	≈	PROPN
ejpam-6835	343	4	g(mn	g(mn	PROPN
ejpam-6835	343	5	,	,	PUNCT
ejpam-6835	343	6	p2	p2	PROPN
ejpam-6835	343	7	)	)	PUNCT
ejpam-6835	343	8	.	.	PUNCT
ejpam-6835	344	1	in	in	ADP
ejpam-6835	344	2	the	the	DET
ejpam-6835	344	3	classical	classical	ADJ
ejpam-6835	344	4	erdős	erdős	PROPN
ejpam-6835	344	5	–	–	PUNCT
ejpam-6835	344	6	rényi	rényi	PROPN
ejpam-6835	344	7	model	model	NOUN
ejpam-6835	344	8	,	,	PUNCT
ejpam-6835	344	9	connectivity	connectivity	NOUN
ejpam-6835	344	10	emerges	emerge	VERB
ejpam-6835	344	11	at	at	ADP
ejpam-6835	344	12	p2	p2	PROPN
ejpam-6835	344	13	=	=	SYM
ejpam-6835	344	14	(	(	PUNCT
ejpam-6835	344	15	logmn	logmn	NOUN
ejpam-6835	344	16	+	+	CCONJ
ejpam-6835	344	17	c)/mn	c)/mn	NOUN
ejpam-6835	344	18	,	,	PUNCT
ejpam-6835	344	19	with	with	ADP
ejpam-6835	344	20	limiting	limit	VERB
ejpam-6835	344	21	probability	probability	NOUN
ejpam-6835	344	22	exp(−e−c	exp(−e−c	NOUN
ejpam-6835	344	23	)	)	PUNCT
ejpam-6835	344	24	.	.	PUNCT
ejpam-6835	345	1	translating	translate	VERB
ejpam-6835	345	2	p2	p2	NOUN
ejpam-6835	345	3	back	back	ADV
ejpam-6835	345	4	to	to	ADP
ejpam-6835	345	5	p	p	PROPN
ejpam-6835	345	6	gives	give	VERB
ejpam-6835	345	7	the	the	DET
ejpam-6835	345	8	claimed	claim	VERB
ejpam-6835	345	9	threshold	threshold	NOUN
ejpam-6835	345	10	.	.	PUNCT
ejpam-6835	346	1	t.	t.	PROPN
ejpam-6835	346	2	fujita	fujita	PROPN
ejpam-6835	346	3	,	,	PUNCT
ejpam-6835	346	4	f.	f.	PROPN
ejpam-6835	346	5	smarandache	smarandache	PROPN
ejpam-6835	346	6	/	/	SYM
ejpam-6835	346	7	eur	eur	PROPN
ejpam-6835	346	8	.	.	PUNCT
ejpam-6835	347	1	j.	j.	PROPN
ejpam-6835	347	2	pure	pure	PROPN
ejpam-6835	347	3	appl	appl	PROPN
ejpam-6835	347	4	.	.	PROPN
ejpam-6835	347	5	math	math	PROPN
ejpam-6835	347	6	,	,	PUNCT
ejpam-6835	347	7	18	18	NUM
ejpam-6835	347	8	(	(	PUNCT
ejpam-6835	347	9	4	4	NUM
ejpam-6835	347	10	)	)	PUNCT
ejpam-6835	347	11	(	(	PUNCT
ejpam-6835	347	12	2025	2025	NUM
ejpam-6835	347	13	)	)	PUNCT
ejpam-6835	347	14	,	,	PUNCT
ejpam-6835	347	15	6835	6835	NUM
ejpam-6835	347	16	16	16	NUM
ejpam-6835	347	17	of	of	ADP
ejpam-6835	347	18	29	29	NUM
ejpam-6835	347	19	algorithm	algorithm	NOUN
ejpam-6835	347	20	1	1	NUM
ejpam-6835	347	21	generate	generate	VERB
ejpam-6835	347	22	a	a	DET
ejpam-6835	347	23	random	random	ADJ
ejpam-6835	347	24	n	n	CCONJ
ejpam-6835	347	25	-	-	PUNCT
ejpam-6835	347	26	superhypergraph	superhypergraph	NOUN
ejpam-6835	347	27	require	require	NOUN
ejpam-6835	347	28	:	:	PUNCT
ejpam-6835	347	29	a	a	DET
ejpam-6835	347	30	finite	finite	ADJ
ejpam-6835	347	31	base	base	NOUN
ejpam-6835	347	32	set	set	VERB
ejpam-6835	347	33	v0	v0	NOUN
ejpam-6835	347	34	,	,	PUNCT
ejpam-6835	347	35	integer	integer	PROPN
ejpam-6835	347	36	n	n	PRON
ejpam-6835	347	37	≥	≥	NUM
ejpam-6835	347	38	1	1	NUM
ejpam-6835	347	39	,	,	PUNCT
ejpam-6835	347	40	probability	probability	NOUN
ejpam-6835	347	41	p	p	X
ejpam-6835	347	42	∈	∈	PROPN
ejpam-6835	348	1	[	[	X
ejpam-6835	348	2	0	0	NUM
ejpam-6835	348	3	,	,	PUNCT
ejpam-6835	348	4	1	1	NUM
ejpam-6835	348	5	]	]	PUNCT
ejpam-6835	348	6	ensure	ensure	VERB
ejpam-6835	348	7	:	:	PUNCT
ejpam-6835	348	8	a	a	DET
ejpam-6835	348	9	random	random	ADJ
ejpam-6835	348	10	n	n	CCONJ
ejpam-6835	348	11	-	-	PUNCT
ejpam-6835	348	12	superhypergraph	superhypergraph	NOUN
ejpam-6835	348	13	suhg(n	suhg(n	NOUN
ejpam-6835	348	14	)	)	PUNCT
ejpam-6835	348	15	=	=	SYM
ejpam-6835	348	16	(	(	PUNCT
ejpam-6835	348	17	v	v	NOUN
ejpam-6835	348	18	(	(	PUNCT
ejpam-6835	348	19	n	n	CCONJ
ejpam-6835	348	20	)	)	PUNCT
ejpam-6835	348	21	,	,	PUNCT
ejpam-6835	348	22	e	e	X
ejpam-6835	348	23	)	)	PUNCT
ejpam-6835	348	24	1	1	NUM
ejpam-6835	348	25	:	:	PUNCT
ejpam-6835	348	26	ps0(v0)←	ps0(v0)←	PROPN
ejpam-6835	348	27	v0	v0	NOUN
ejpam-6835	348	28	2	2	NUM
ejpam-6835	348	29	:	:	PUNCT
ejpam-6835	348	30	for	for	ADP
ejpam-6835	348	31	k	k	PROPN
ejpam-6835	348	32	=	=	SYM
ejpam-6835	348	33	1	1	NUM
ejpam-6835	348	34	to	to	PART
ejpam-6835	348	35	n	n	PRON
ejpam-6835	348	36	do	do	VERB
ejpam-6835	348	37	3	3	NUM
ejpam-6835	348	38	:	:	PUNCT
ejpam-6835	348	39	psk(v0)←	psk(v0)←	NOUN
ejpam-6835	348	40	ps	ps	PROPN
ejpam-6835	348	41	(	(	PUNCT
ejpam-6835	348	42	psk−1(v0	psk−1(v0	PROPN
ejpam-6835	348	43	)	)	PUNCT
ejpam-6835	348	44	)	)	PUNCT
ejpam-6835	349	1	4	4	NUM
ejpam-6835	349	2	:	:	PUNCT
ejpam-6835	349	3	end	end	VERB
ejpam-6835	349	4	for	for	ADP
ejpam-6835	349	5	5	5	NUM
ejpam-6835	349	6	:	:	SYM
ejpam-6835	349	7	v	v	NOUN
ejpam-6835	349	8	(	(	PUNCT
ejpam-6835	349	9	n	n	CCONJ
ejpam-6835	349	10	)	)	PUNCT
ejpam-6835	349	11	←	←	PROPN
ejpam-6835	349	12	psn(v0	psn(v0	PROPN
ejpam-6835	349	13	)	)	PUNCT
ejpam-6835	349	14	6	6	NUM
ejpam-6835	349	15	:	:	PUNCT
ejpam-6835	349	16	e	e	PROPN
ejpam-6835	349	17	←	←	PROPN
ejpam-6835	349	18	ps(v	ps(v	X
ejpam-6835	349	19	(	(	PUNCT
ejpam-6835	349	20	n	n	CCONJ
ejpam-6835	349	21	)	)	PUNCT
ejpam-6835	349	22	)	)	PUNCT
ejpam-6835	349	23	\	\	NOUN
ejpam-6835	349	24	{	{	PUNCT
ejpam-6835	349	25	∅	∅	NOUN
ejpam-6835	349	26	}	}	PUNCT
ejpam-6835	349	27	7	7	NUM
ejpam-6835	349	28	:	:	PUNCT
ejpam-6835	349	29	e	e	PROPN
ejpam-6835	349	30	←	←	PROPN
ejpam-6835	349	31	∅	∅	NOUN
ejpam-6835	349	32	8	8	NUM
ejpam-6835	349	33	:	:	PUNCT
ejpam-6835	349	34	for	for	ADP
ejpam-6835	349	35	each	each	DET
ejpam-6835	349	36	potential	potential	ADJ
ejpam-6835	349	37	hyperedge	hyperedge	NOUN
ejpam-6835	349	38	e	e	X
ejpam-6835	349	39	∈	∈	NOUN
ejpam-6835	349	40	e	e	NOUN
ejpam-6835	349	41	do	do	AUX
ejpam-6835	349	42	9	9	NUM
ejpam-6835	349	43	:	:	PUNCT
ejpam-6835	349	44	draw	draw	VERB
ejpam-6835	349	45	u	u	NOUN
ejpam-6835	349	46	∼	∼	NOUN
ejpam-6835	349	47	uniform(0	uniform(0	NOUN
ejpam-6835	349	48	,	,	PUNCT
ejpam-6835	349	49	1	1	NUM
ejpam-6835	349	50	)	)	PUNCT
ejpam-6835	349	51	10	10	NUM
ejpam-6835	349	52	:	:	PUNCT
ejpam-6835	349	53	if	if	SCONJ
ejpam-6835	349	54	u	u	PROPN
ejpam-6835	349	55	≤	≤	VERB
ejpam-6835	350	1	p	p	NOUN
ejpam-6835	350	2	then	then	ADV
ejpam-6835	350	3	e	e	X
ejpam-6835	350	4	←	←	PROPN
ejpam-6835	350	5	e	e	PROPN
ejpam-6835	350	6	∪	∪	X
ejpam-6835	350	7	{	{	PUNCT
ejpam-6835	350	8	e	e	NOUN
ejpam-6835	350	9	}	}	PUNCT
ejpam-6835	350	10	11	11	NUM
ejpam-6835	350	11	:	:	PUNCT
ejpam-6835	350	12	end	end	VERB
ejpam-6835	350	13	if	if	SCONJ
ejpam-6835	350	14	12	12	NUM
ejpam-6835	350	15	:	:	PUNCT
ejpam-6835	350	16	end	end	VERB
ejpam-6835	350	17	for	for	ADP
ejpam-6835	350	18	13	13	NUM
ejpam-6835	350	19	:	:	PUNCT
ejpam-6835	350	20	return	return	VERB
ejpam-6835	350	21	suhg(n	suhg(n	NOUN
ejpam-6835	350	22	)	)	PUNCT
ejpam-6835	350	23	=	=	SYM
ejpam-6835	350	24	(	(	PUNCT
ejpam-6835	350	25	v	v	NOUN
ejpam-6835	350	26	(	(	PUNCT
ejpam-6835	350	27	n	n	CCONJ
ejpam-6835	350	28	)	)	PUNCT
ejpam-6835	350	29	,	,	PUNCT
ejpam-6835	350	30	e	e	X
ejpam-6835	350	31	)	)	PUNCT
ejpam-6835	350	32	4	4	NUM
ejpam-6835	350	33	.	.	X
ejpam-6835	351	1	result	result	NOUN
ejpam-6835	351	2	:	:	PUNCT
ejpam-6835	351	3	algorithm	algorithm	NOUN
ejpam-6835	351	4	for	for	ADP
ejpam-6835	351	5	generating	generate	VERB
ejpam-6835	351	6	random	random	ADJ
ejpam-6835	351	7	superhypergraphs	superhypergraph	NOUN
ejpam-6835	351	8	in	in	ADP
ejpam-6835	351	9	this	this	DET
ejpam-6835	351	10	section	section	NOUN
ejpam-6835	351	11	,	,	PUNCT
ejpam-6835	351	12	we	we	PRON
ejpam-6835	351	13	give	give	VERB
ejpam-6835	351	14	an	an	DET
ejpam-6835	351	15	algorithm	algorithm	NOUN
ejpam-6835	351	16	to	to	PART
ejpam-6835	351	17	generate	generate	VERB
ejpam-6835	351	18	a	a	DET
ejpam-6835	351	19	random	random	ADJ
ejpam-6835	351	20	n	n	CCONJ
ejpam-6835	351	21	-	-	PUNCT
ejpam-6835	351	22	superhypergraph	superhypergraph	NOUN
ejpam-6835	351	23	.	.	PUNCT
ejpam-6835	352	1	see	see	VERB
ejpam-6835	352	2	algorithm	algorithm	NOUN
ejpam-6835	352	3	1	1	NUM
ejpam-6835	352	4	for	for	ADP
ejpam-6835	352	5	a	a	DET
ejpam-6835	352	6	summary	summary	NOUN
ejpam-6835	352	7	.	.	PUNCT
ejpam-6835	353	1	remark	remark	NOUN
ejpam-6835	353	2	1	1	NUM
ejpam-6835	353	3	.	.	PUNCT
ejpam-6835	354	1	(	(	PUNCT
ejpam-6835	354	2	i	i	NOUN
ejpam-6835	354	3	)	)	PUNCT
ejpam-6835	354	4	compute	compute	NOUN
ejpam-6835	354	5	powersets	powerset	NOUN
ejpam-6835	354	6	.	.	PUNCT
ejpam-6835	355	1	starting	start	VERB
ejpam-6835	355	2	from	from	ADP
ejpam-6835	355	3	v0	v0	NOUN
ejpam-6835	355	4	,	,	PUNCT
ejpam-6835	355	5	iteratively	iteratively	ADV
ejpam-6835	355	6	form	form	NOUN
ejpam-6835	355	7	psk(v0	psk(v0	PROPN
ejpam-6835	355	8	)	)	PUNCT
ejpam-6835	355	9	up	up	ADP
ejpam-6835	355	10	to	to	ADP
ejpam-6835	355	11	k	k	PROPN
ejpam-6835	355	12	=	=	PUNCT
ejpam-6835	355	13	n.	n.	PROPN
ejpam-6835	355	14	(	(	PUNCT
ejpam-6835	355	15	ii	ii	NOUN
ejpam-6835	355	16	)	)	PUNCT
ejpam-6835	355	17	define	define	VERB
ejpam-6835	355	18	vertices	vertex	NOUN
ejpam-6835	355	19	.	.	PUNCT
ejpam-6835	356	1	set	set	VERB
ejpam-6835	356	2	v	v	NOUN
ejpam-6835	356	3	(	(	PUNCT
ejpam-6835	356	4	n	n	CCONJ
ejpam-6835	356	5	)	)	PUNCT
ejpam-6835	356	6	=	=	PUNCT
ejpam-6835	357	1	psn(v0	psn(v0	ADV
ejpam-6835	357	2	)	)	PUNCT
ejpam-6835	357	3	as	as	ADP
ejpam-6835	357	4	the	the	DET
ejpam-6835	357	5	supervertex	supervertex	NOUN
ejpam-6835	357	6	set	set	NOUN
ejpam-6835	357	7	.	.	PUNCT
ejpam-6835	358	1	(	(	PUNCT
ejpam-6835	358	2	iii	iii	NOUN
ejpam-6835	358	3	)	)	PUNCT
ejpam-6835	358	4	define	define	VERB
ejpam-6835	358	5	potential	potential	ADJ
ejpam-6835	358	6	edges	edge	NOUN
ejpam-6835	358	7	.	.	PUNCT
ejpam-6835	359	1	let	let	VERB
ejpam-6835	359	2	e	e	NOUN
ejpam-6835	359	3	=	=	PRON
ejpam-6835	359	4	ps(v	ps(v	X
ejpam-6835	359	5	(	(	PUNCT
ejpam-6835	359	6	n	n	CCONJ
ejpam-6835	359	7	)	)	PUNCT
ejpam-6835	359	8	)	)	PUNCT
ejpam-6835	359	9	\	\	NOUN
ejpam-6835	360	1	{	{	PUNCT
ejpam-6835	360	2	∅	∅	NOUN
ejpam-6835	360	3	}	}	PUNCT
ejpam-6835	360	4	.	.	PUNCT
ejpam-6835	361	1	(	(	PUNCT
ejpam-6835	361	2	iv	iv	X
ejpam-6835	361	3	)	)	PUNCT
ejpam-6835	361	4	random	random	ADJ
ejpam-6835	361	5	selection	selection	NOUN
ejpam-6835	361	6	.	.	PUNCT
ejpam-6835	361	7	include	include	VERB
ejpam-6835	361	8	each	each	DET
ejpam-6835	361	9	e	e	PROPN
ejpam-6835	361	10	∈	∈	PROPN
ejpam-6835	361	11	e	e	X
ejpam-6835	361	12	in	in	ADP
ejpam-6835	361	13	e	e	PROPN
ejpam-6835	361	14	independently	independently	ADV
ejpam-6835	361	15	with	with	ADP
ejpam-6835	361	16	probability	probability	NOUN
ejpam-6835	361	17	p.	p.	NOUN
ejpam-6835	361	18	(	(	PUNCT
ejpam-6835	361	19	v	v	NOUN
ejpam-6835	361	20	)	)	PUNCT
ejpam-6835	361	21	output	output	NOUN
ejpam-6835	361	22	.	.	PUNCT
ejpam-6835	362	1	return	return	VERB
ejpam-6835	362	2	the	the	DET
ejpam-6835	362	3	hypergraph	hypergraph	NOUN
ejpam-6835	362	4	(	(	PUNCT
ejpam-6835	362	5	v	v	NOUN
ejpam-6835	362	6	(	(	PUNCT
ejpam-6835	362	7	n	n	CCONJ
ejpam-6835	362	8	)	)	PUNCT
ejpam-6835	362	9	,	,	PUNCT
ejpam-6835	362	10	e	e	NOUN
ejpam-6835	362	11	)	)	PUNCT
ejpam-6835	362	12	.	.	PUNCT
ejpam-6835	363	1	example	example	NOUN
ejpam-6835	363	2	13	13	NUM
ejpam-6835	363	3	(	(	PUNCT
ejpam-6835	363	4	university	university	NOUN
ejpam-6835	363	5	curriculum	curriculum	NOUN
ejpam-6835	363	6	as	as	ADP
ejpam-6835	363	7	a	a	DET
ejpam-6835	363	8	3	3	NUM
ejpam-6835	363	9	-	-	PUNCT
ejpam-6835	363	10	superhypergraph	superhypergraph	NOUN
ejpam-6835	363	11	)	)	PUNCT
ejpam-6835	363	12	.	.	PUNCT
ejpam-6835	364	1	let	let	VERB
ejpam-6835	364	2	v0	v0	NOUN
ejpam-6835	364	3	=	=	SYM
ejpam-6835	364	4	{	{	PUNCT
ejpam-6835	364	5	algebra	algebra	NOUN
ejpam-6835	364	6	,	,	PUNCT
ejpam-6835	364	7	calculus	calculus	NOUN
ejpam-6835	364	8	,	,	PUNCT
ejpam-6835	364	9	physics	physics	NOUN
ejpam-6835	364	10	,	,	PUNCT
ejpam-6835	364	11	chemistry	chemistry	NOUN
ejpam-6835	364	12	}	}	PUNCT
ejpam-6835	364	13	.	.	PUNCT
ejpam-6835	365	1	then	then	ADV
ejpam-6835	365	2	ps1(v0	ps1(v0	X
ejpam-6835	365	3	)	)	PUNCT
ejpam-6835	366	1	=	=	PRON
ejpam-6835	366	2	{	{	PUNCT
ejpam-6835	366	3	{	{	PUNCT
ejpam-6835	366	4	algebra	algebra	NOUN
ejpam-6835	366	5	,	,	PUNCT
ejpam-6835	366	6	calculus	calculus	NOUN
ejpam-6835	366	7	}	}	PUNCT
ejpam-6835	366	8	,	,	PUNCT
ejpam-6835	366	9	{	{	PUNCT
ejpam-6835	366	10	physics	physics	NOUN
ejpam-6835	366	11	,	,	PUNCT
ejpam-6835	366	12	chemistry	chemistry	NOUN
ejpam-6835	366	13	}	}	PUNCT
ejpam-6835	366	14	,	,	PUNCT
ejpam-6835	366	15	.	.	PUNCT
ejpam-6835	366	16	.	.	PUNCT
ejpam-6835	366	17	.	.	PUNCT
ejpam-6835	367	1	}	}	PUNCT
ejpam-6835	367	2	represents	represent	VERB
ejpam-6835	367	3	all	all	DET
ejpam-6835	367	4	courses	course	NOUN
ejpam-6835	367	5	.	.	PUNCT
ejpam-6835	368	1	next	next	ADV
ejpam-6835	368	2	,	,	PUNCT
ejpam-6835	368	3	ps2(v0	ps2(v0	PROPN
ejpam-6835	368	4	)	)	PUNCT
ejpam-6835	368	5	=	=	SYM
ejpam-6835	368	6	ps	ps	PROPN
ejpam-6835	368	7	(	(	PUNCT
ejpam-6835	368	8	ps1(v0	ps1(v0	PROPN
ejpam-6835	368	9	)	)	PUNCT
ejpam-6835	368	10	)	)	PUNCT
ejpam-6835	369	1	t.	t.	PROPN
ejpam-6835	369	2	fujita	fujita	PROPN
ejpam-6835	369	3	,	,	PUNCT
ejpam-6835	369	4	f.	f.	PROPN
ejpam-6835	369	5	smarandache	smarandache	PROPN
ejpam-6835	369	6	/	/	SYM
ejpam-6835	369	7	eur	eur	PROPN
ejpam-6835	369	8	.	.	PUNCT
ejpam-6835	370	1	j.	j.	PROPN
ejpam-6835	370	2	pure	pure	PROPN
ejpam-6835	370	3	appl	appl	PROPN
ejpam-6835	370	4	.	.	PROPN
ejpam-6835	370	5	math	math	PROPN
ejpam-6835	370	6	,	,	PUNCT
ejpam-6835	370	7	18	18	NUM
ejpam-6835	370	8	(	(	PUNCT
ejpam-6835	370	9	4	4	NUM
ejpam-6835	370	10	)	)	PUNCT
ejpam-6835	370	11	(	(	PUNCT
ejpam-6835	370	12	2025	2025	NUM
ejpam-6835	370	13	)	)	PUNCT
ejpam-6835	370	14	,	,	PUNCT
ejpam-6835	370	15	6835	6835	NUM
ejpam-6835	370	16	17	17	NUM
ejpam-6835	370	17	of	of	ADP
ejpam-6835	370	18	29	29	NUM
ejpam-6835	370	19	lists	list	NOUN
ejpam-6835	370	20	all	all	DET
ejpam-6835	370	21	majors	major	NOUN
ejpam-6835	370	22	(	(	PUNCT
ejpam-6835	370	23	each	each	DET
ejpam-6835	370	24	a	a	DET
ejpam-6835	370	25	set	set	NOUN
ejpam-6835	370	26	of	of	ADP
ejpam-6835	370	27	courses	course	NOUN
ejpam-6835	370	28	)	)	PUNCT
ejpam-6835	370	29	,	,	PUNCT
ejpam-6835	370	30	for	for	ADP
ejpam-6835	370	31	example	example	NOUN
ejpam-6835	370	32	majora	majora	NOUN
ejpam-6835	370	33	=	=	SYM
ejpam-6835	370	34	{	{	PUNCT
ejpam-6835	370	35	course1,course2	course1,course2	ADJ
ejpam-6835	370	36	}	}	PUNCT
ejpam-6835	370	37	.	.	PUNCT
ejpam-6835	371	1	finally	finally	ADV
ejpam-6835	371	2	,	,	PUNCT
ejpam-6835	371	3	ps3(v0	ps3(v0	NUM
ejpam-6835	371	4	)	)	PUNCT
ejpam-6835	371	5	=	=	SYM
ejpam-6835	371	6	ps	ps	PROPN
ejpam-6835	371	7	(	(	PUNCT
ejpam-6835	371	8	ps2(v0	ps2(v0	PROPN
ejpam-6835	371	9	)	)	PUNCT
ejpam-6835	371	10	)	)	PUNCT
ejpam-6835	371	11	lists	list	VERB
ejpam-6835	371	12	all	all	DET
ejpam-6835	371	13	degree	degree	NOUN
ejpam-6835	371	14	programs	program	NOUN
ejpam-6835	371	15	(	(	PUNCT
ejpam-6835	371	16	each	each	PRON
ejpam-6835	371	17	a	a	DET
ejpam-6835	371	18	collection	collection	NOUN
ejpam-6835	371	19	of	of	ADP
ejpam-6835	371	20	majors	major	NOUN
ejpam-6835	371	21	)	)	PUNCT
ejpam-6835	371	22	,	,	PUNCT
ejpam-6835	371	23	e.g.	e.g.	ADV
ejpam-6835	371	24	programx	programx	NOUN
ejpam-6835	371	25	=	=	SYM
ejpam-6835	371	26	{	{	PUNCT
ejpam-6835	371	27	majora	majora	NOUN
ejpam-6835	371	28	,	,	PUNCT
ejpam-6835	371	29	majorb	majorb	ADJ
ejpam-6835	371	30	}	}	PUNCT
ejpam-6835	371	31	.	.	PUNCT
ejpam-6835	372	1	in	in	ADP
ejpam-6835	372	2	the	the	DET
ejpam-6835	372	3	random	random	ADJ
ejpam-6835	372	4	model	model	NOUN
ejpam-6835	372	5	suhg(3)(v0	suhg(3)(v0	PROPN
ejpam-6835	372	6	,	,	PUNCT
ejpam-6835	372	7	p	p	NOUN
ejpam-6835	372	8	)	)	PUNCT
ejpam-6835	372	9	,	,	PUNCT
ejpam-6835	372	10	set	set	VERB
ejpam-6835	372	11	v	v	NOUN
ejpam-6835	372	12	(	(	PUNCT
ejpam-6835	372	13	3	3	NUM
ejpam-6835	372	14	)	)	PUNCT
ejpam-6835	372	15	=	=	PUNCT
ejpam-6835	372	16	ps3(v0	ps3(v0	NUM
ejpam-6835	372	17	)	)	PUNCT
ejpam-6835	372	18	,	,	PUNCT
ejpam-6835	372	19	e	e	X
ejpam-6835	372	20	=	=	SYM
ejpam-6835	372	21	ps(v	ps(v	NOUN
ejpam-6835	372	22	(	(	PUNCT
ejpam-6835	372	23	3	3	NUM
ejpam-6835	372	24	)	)	PUNCT
ejpam-6835	372	25	)	)	PUNCT
ejpam-6835	372	26	\	\	NOUN
ejpam-6835	372	27	{	{	PUNCT
ejpam-6835	372	28	∅	∅	NOUN
ejpam-6835	372	29	}	}	PUNCT
ejpam-6835	372	30	.	.	PUNCT
ejpam-6835	373	1	each	each	DET
ejpam-6835	373	2	candidate	candidate	NOUN
ejpam-6835	373	3	program	program	NOUN
ejpam-6835	373	4	p	p	NOUN
ejpam-6835	373	5	∈	∈	PROPN
ejpam-6835	373	6	e	e	NOUN
ejpam-6835	373	7	is	be	AUX
ejpam-6835	373	8	included	include	VERB
ejpam-6835	373	9	independently	independently	ADV
ejpam-6835	373	10	with	with	ADP
ejpam-6835	373	11	probability	probability	NOUN
ejpam-6835	373	12	p.	p.	NOUN
ejpam-6835	373	13	thus	thus	ADV
ejpam-6835	373	14	algorithm	algorithm	NOUN
ejpam-6835	373	15	1	1	NUM
ejpam-6835	373	16	produces	produce	VERB
ejpam-6835	373	17	a	a	DET
ejpam-6835	373	18	random	random	ADJ
ejpam-6835	373	19	collection	collection	NOUN
ejpam-6835	373	20	of	of	ADP
ejpam-6835	373	21	active	active	ADJ
ejpam-6835	373	22	degree	degree	NOUN
ejpam-6835	373	23	programs	program	NOUN
ejpam-6835	373	24	each	each	DET
ejpam-6835	373	25	academic	academic	ADJ
ejpam-6835	373	26	year	year	NOUN
ejpam-6835	373	27	,	,	PUNCT
ejpam-6835	373	28	capturing	capture	VERB
ejpam-6835	373	29	the	the	DET
ejpam-6835	373	30	hierarchy	hierarchy	NOUN
ejpam-6835	373	31	:	:	PUNCT
ejpam-6835	373	32	topics	topic	NOUN
ejpam-6835	373	33	→	→	SYM
ejpam-6835	373	34	courses	course	NOUN
ejpam-6835	373	35	→	→	SYM
ejpam-6835	373	36	majors	major	NOUN
ejpam-6835	373	37	→	→	SYM
ejpam-6835	373	38	programs	program	NOUN
ejpam-6835	373	39	.	.	PUNCT
ejpam-6835	374	1	theorem	theorem	VERB
ejpam-6835	374	2	14	14	NUM
ejpam-6835	374	3	(	(	PUNCT
ejpam-6835	374	4	correctness	correctness	NOUN
ejpam-6835	374	5	of	of	ADP
ejpam-6835	374	6	generaterandomnsuperhypergraph	generaterandomnsuperhypergraph	NOUN
ejpam-6835	374	7	)	)	PUNCT
ejpam-6835	374	8	.	.	PUNCT
ejpam-6835	375	1	let	let	VERB
ejpam-6835	375	2	v0	v0	NOUN
ejpam-6835	375	3	be	be	AUX
ejpam-6835	375	4	a	a	DET
ejpam-6835	375	5	finite	finite	ADJ
ejpam-6835	375	6	set	set	NOUN
ejpam-6835	375	7	,	,	PUNCT
ejpam-6835	375	8	n	n	PROPN
ejpam-6835	375	9	∈	∈	PROPN
ejpam-6835	375	10	n	n	CCONJ
ejpam-6835	375	11	,	,	PUNCT
ejpam-6835	375	12	and	and	CCONJ
ejpam-6835	375	13	p	p	PRON
ejpam-6835	375	14	∈	∈	PROPN
ejpam-6835	376	1	[	[	X
ejpam-6835	376	2	0	0	NUM
ejpam-6835	376	3	,	,	PUNCT
ejpam-6835	376	4	1	1	NUM
ejpam-6835	376	5	]	]	PUNCT
ejpam-6835	376	6	.	.	PUNCT
ejpam-6835	377	1	write	write	VERB
ejpam-6835	377	2	v	v	NOUN
ejpam-6835	377	3	(	(	PUNCT
ejpam-6835	377	4	n	n	CCONJ
ejpam-6835	377	5	)	)	PUNCT
ejpam-6835	377	6	=	=	SYM
ejpam-6835	378	1	psn(v0	psn(v0	X
ejpam-6835	378	2	)	)	PUNCT
ejpam-6835	378	3	,	,	PUNCT
ejpam-6835	378	4	mn	mn	PROPN
ejpam-6835	378	5	=	=	SYM
ejpam-6835	378	6	∣∣v	∣∣v	PROPN
ejpam-6835	378	7	(	(	PUNCT
ejpam-6835	378	8	n	n	CCONJ
ejpam-6835	378	9	)	)	PUNCT
ejpam-6835	378	10	∣∣.	∣∣.	PROPN
ejpam-6835	378	11	then	then	ADV
ejpam-6835	378	12	algorithm	algorithm	NOUN
ejpam-6835	378	13	1	1	NUM
ejpam-6835	378	14	returns	return	NOUN
ejpam-6835	378	15	each	each	DET
ejpam-6835	378	16	pair	pair	NOUN
ejpam-6835	378	17	(	(	PUNCT
ejpam-6835	378	18	v	v	NOUN
ejpam-6835	378	19	(	(	PUNCT
ejpam-6835	378	20	n	n	CCONJ
ejpam-6835	378	21	)	)	PUNCT
ejpam-6835	378	22	,	,	PUNCT
ejpam-6835	378	23	e	e	X
ejpam-6835	378	24	)	)	PUNCT
ejpam-6835	378	25	with	with	ADP
ejpam-6835	378	26	probability	probability	NOUN
ejpam-6835	378	27	pr	pr	NOUN
ejpam-6835	378	28	(	(	PUNCT
ejpam-6835	378	29	e	e	NOUN
ejpam-6835	378	30	is	be	AUX
ejpam-6835	378	31	chosen	choose	VERB
ejpam-6835	378	32	)	)	PUNCT
ejpam-6835	379	1	=	=	SYM
ejpam-6835	379	2	p|e|	p|e|	ADJ
ejpam-6835	379	3	(	(	PUNCT
ejpam-6835	379	4	1−	1−	NUM
ejpam-6835	379	5	p)mn−|e|	p)mn−|e|	ADJ
ejpam-6835	379	6	,	,	PUNCT
ejpam-6835	379	7	and	and	CCONJ
ejpam-6835	379	8	the	the	DET
ejpam-6835	379	9	events	event	NOUN
ejpam-6835	379	10	{	{	PUNCT
ejpam-6835	379	11	x	x	SYM
ejpam-6835	379	12	∈	∈	NOUN
ejpam-6835	379	13	e	e	NOUN
ejpam-6835	379	14	}	}	PUNCT
ejpam-6835	379	15	for	for	ADP
ejpam-6835	379	16	x	x	PROPN
ejpam-6835	379	17	∈	∈	PROPN
ejpam-6835	379	18	v	v	PROPN
ejpam-6835	379	19	(	(	PUNCT
ejpam-6835	379	20	n	n	CCONJ
ejpam-6835	379	21	)	)	PUNCT
ejpam-6835	379	22	are	be	AUX
ejpam-6835	379	23	independent	independent	ADJ
ejpam-6835	379	24	bernoulli(p	bernoulli(p	NOUN
ejpam-6835	379	25	)	)	PUNCT
ejpam-6835	379	26	.	.	PUNCT
ejpam-6835	380	1	hence	hence	ADV
ejpam-6835	380	2	its	its	PRON
ejpam-6835	380	3	output	output	NOUN
ejpam-6835	380	4	distribution	distribution	NOUN
ejpam-6835	380	5	coincides	coincide	VERB
ejpam-6835	380	6	exactly	exactly	ADV
ejpam-6835	380	7	with	with	ADP
ejpam-6835	380	8	that	that	PRON
ejpam-6835	380	9	of	of	ADP
ejpam-6835	380	10	the	the	DET
ejpam-6835	380	11	random	random	ADJ
ejpam-6835	380	12	model	model	NOUN
ejpam-6835	380	13	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	380	14	,	,	PUNCT
ejpam-6835	380	15	p	p	NOUN
ejpam-6835	380	16	)	)	PUNCT
ejpam-6835	380	17	.	.	PUNCT
ejpam-6835	381	1	proof	proof	NOUN
ejpam-6835	381	2	.	.	PUNCT
ejpam-6835	382	1	after	after	ADP
ejpam-6835	382	2	computing	compute	VERB
ejpam-6835	382	3	v	v	ADP
ejpam-6835	382	4	(	(	PUNCT
ejpam-6835	382	5	n	n	CCONJ
ejpam-6835	382	6	)	)	PUNCT
ejpam-6835	382	7	=	=	SYM
ejpam-6835	382	8	psn(v0	psn(v0	X
ejpam-6835	382	9	)	)	PUNCT
ejpam-6835	382	10	,	,	PUNCT
ejpam-6835	382	11	the	the	DET
ejpam-6835	382	12	algorithm	algorithm	NOUN
ejpam-6835	382	13	processes	process	VERB
ejpam-6835	382	14	each	each	PRON
ejpam-6835	382	15	x	x	SYM
ejpam-6835	382	16	∈	∈	PROPN
ejpam-6835	382	17	v	v	NOUN
ejpam-6835	382	18	(	(	PUNCT
ejpam-6835	382	19	n	n	CCONJ
ejpam-6835	382	20	)	)	PUNCT
ejpam-6835	382	21	once	once	ADV
ejpam-6835	382	22	,	,	PUNCT
ejpam-6835	382	23	drawing	draw	VERB
ejpam-6835	382	24	ux	ux	ADJ
ejpam-6835	382	25	∼	∼	NOUN
ejpam-6835	382	26	uniform(0	uniform(0	NOUN
ejpam-6835	382	27	,	,	PUNCT
ejpam-6835	382	28	1	1	NUM
ejpam-6835	382	29	)	)	PUNCT
ejpam-6835	382	30	and	and	CCONJ
ejpam-6835	382	31	including	include	VERB
ejpam-6835	382	32	x	x	PUNCT
ejpam-6835	382	33	in	in	ADP
ejpam-6835	382	34	e	e	NOUN
ejpam-6835	382	35	precisely	precisely	ADV
ejpam-6835	382	36	if	if	SCONJ
ejpam-6835	382	37	ux	ux	PROPN
ejpam-6835	382	38	≤	≤	PROPN
ejpam-6835	383	1	p.	p.	NOUN
ejpam-6835	383	2	therefore	therefore	ADV
ejpam-6835	383	3	pr(x	pr(x	VERB
ejpam-6835	383	4	∈	∈	PROPN
ejpam-6835	383	5	e	e	X
ejpam-6835	383	6	)	)	PUNCT
ejpam-6835	383	7	=	=	SYM
ejpam-6835	383	8	p	p	NOUN
ejpam-6835	383	9	,	,	PUNCT
ejpam-6835	383	10	pr(x	pr(x	NOUN
ejpam-6835	383	11	/∈	/∈	PUNCT
ejpam-6835	384	1	e	e	X
ejpam-6835	384	2	)	)	PUNCT
ejpam-6835	384	3	=	=	SYM
ejpam-6835	384	4	1−	1−	NUM
ejpam-6835	384	5	p	p	NOUN
ejpam-6835	384	6	,	,	PUNCT
ejpam-6835	384	7	and	and	CCONJ
ejpam-6835	384	8	these	these	DET
ejpam-6835	384	9	events	event	NOUN
ejpam-6835	384	10	are	be	AUX
ejpam-6835	384	11	independent	independent	ADJ
ejpam-6835	384	12	over	over	ADP
ejpam-6835	384	13	x.	x.	NOUN
ejpam-6835	384	14	for	for	ADP
ejpam-6835	384	15	any	any	DET
ejpam-6835	384	16	fixed	fix	VERB
ejpam-6835	384	17	e	e	NOUN
ejpam-6835	384	18	⊆	⊆	NUM
ejpam-6835	384	19	v	v	ADP
ejpam-6835	384	20	(	(	PUNCT
ejpam-6835	384	21	n	n	CCONJ
ejpam-6835	384	22	)	)	PUNCT
ejpam-6835	384	23	with	with	ADP
ejpam-6835	384	24	|e|	|e|	PROPN
ejpam-6835	384	25	=	=	PUNCT
ejpam-6835	384	26	m	m	PROPN
ejpam-6835	384	27	,	,	PUNCT
ejpam-6835	385	1	exactly	exactly	ADV
ejpam-6835	385	2	the	the	DET
ejpam-6835	385	3	m	m	ADJ
ejpam-6835	385	4	elements	element	NOUN
ejpam-6835	385	5	of	of	ADP
ejpam-6835	385	6	e	e	NOUN
ejpam-6835	385	7	must	must	AUX
ejpam-6835	385	8	satisfy	satisfy	VERB
ejpam-6835	385	9	ux	ux	ADP
ejpam-6835	385	10	≤	≤	ADJ
ejpam-6835	385	11	p	p	NOUN
ejpam-6835	385	12	and	and	CCONJ
ejpam-6835	385	13	the	the	DET
ejpam-6835	385	14	other	other	ADJ
ejpam-6835	385	15	mn	mn	PROPN
ejpam-6835	385	16	−	−	PROPN
ejpam-6835	385	17	m	m	VERB
ejpam-6835	385	18	must	must	AUX
ejpam-6835	385	19	satisfy	satisfy	VERB
ejpam-6835	385	20	ux	ux	PROPN
ejpam-6835	385	21	>	>	X
ejpam-6835	385	22	p	p	X
ejpam-6835	385	23	,	,	PUNCT
ejpam-6835	385	24	yielding	yield	VERB
ejpam-6835	385	25	pr(algorithm	pr(algorithm	PROPN
ejpam-6835	385	26	returns	return	NOUN
ejpam-6835	385	27	e	e	NOUN
ejpam-6835	385	28	)	)	PUNCT
ejpam-6835	385	29	=	=	SYM
ejpam-6835	385	30	pm	pm	NOUN
ejpam-6835	385	31	(	(	PUNCT
ejpam-6835	385	32	1−	1−	NUM
ejpam-6835	385	33	p)mn−m	p)mn−m	PROPN
ejpam-6835	385	34	.	.	PUNCT
ejpam-6835	386	1	this	this	PRON
ejpam-6835	386	2	matches	match	VERB
ejpam-6835	386	3	the	the	DET
ejpam-6835	386	4	defining	define	VERB
ejpam-6835	386	5	law	law	NOUN
ejpam-6835	386	6	of	of	ADP
ejpam-6835	386	7	suhg(n)(v0	suhg(n)(v0	PROPN
ejpam-6835	386	8	,	,	PUNCT
ejpam-6835	386	9	p	p	NOUN
ejpam-6835	386	10	)	)	PUNCT
ejpam-6835	386	11	.	.	PUNCT
ejpam-6835	387	1	theorem	theorem	VERB
ejpam-6835	387	2	15	15	NUM
ejpam-6835	387	3	(	(	PUNCT
ejpam-6835	387	4	time	time	NOUN
ejpam-6835	387	5	complexity	complexity	NOUN
ejpam-6835	387	6	)	)	PUNCT
ejpam-6835	387	7	.	.	PUNCT
ejpam-6835	388	1	define	define	VERB
ejpam-6835	388	2	mk	mk	NOUN
ejpam-6835	388	3	=	=	PUNCT
ejpam-6835	388	4	|psk(v0)|	|psk(v0)|	NOUN
ejpam-6835	388	5	for	for	ADP
ejpam-6835	388	6	0	0	NUM
ejpam-6835	388	7	≤	≤	NUM
ejpam-6835	388	8	k	k	NOUN
ejpam-6835	388	9	≤	≤	NUM
ejpam-6835	388	10	n	n	CCONJ
ejpam-6835	388	11	,	,	PUNCT
ejpam-6835	388	12	so	so	ADV
ejpam-6835	388	13	m0	m0	PROPN
ejpam-6835	388	14	=	=	PUNCT
ejpam-6835	388	15	|v0|	|v0|	NOUN
ejpam-6835	388	16	and	and	CCONJ
ejpam-6835	388	17	mk	mk	NOUN
ejpam-6835	388	18	=	=	SYM
ejpam-6835	388	19	2mk−1	2mk−1	PROPN
ejpam-6835	388	20	.	.	PUNCT
ejpam-6835	389	1	then	then	ADV
ejpam-6835	389	2	algorithm	algorithm	NOUN
ejpam-6835	389	3	1	1	NUM
ejpam-6835	389	4	runs	run	NOUN
ejpam-6835	389	5	in	in	ADP
ejpam-6835	389	6	t	t	PROPN
ejpam-6835	389	7	(	(	PUNCT
ejpam-6835	389	8	n	n	CCONJ
ejpam-6835	389	9	)	)	PUNCT
ejpam-6835	389	10	=	=	SYM
ejpam-6835	389	11	θ	θ	PROPN
ejpam-6835	389	12	(	(	PUNCT
ejpam-6835	389	13	mn	mn	PROPN
ejpam-6835	389	14	logmn	logmn	PROPN
ejpam-6835	389	15	)	)	PUNCT
ejpam-6835	389	16	.	.	PUNCT
ejpam-6835	390	1	proof	proof	NOUN
ejpam-6835	390	2	.	.	PUNCT
ejpam-6835	391	1	powerset	powerset	NOUN
ejpam-6835	391	2	computation	computation	NOUN
ejpam-6835	391	3	:	:	PUNCT
ejpam-6835	391	4	at	at	ADP
ejpam-6835	391	5	each	each	DET
ejpam-6835	391	6	1	1	NUM
ejpam-6835	391	7	≤	≤	NUM
ejpam-6835	391	8	k	k	NOUN
ejpam-6835	391	9	≤	≤	PROPN
ejpam-6835	391	10	n	n	CCONJ
ejpam-6835	391	11	,	,	PUNCT
ejpam-6835	391	12	listing	list	VERB
ejpam-6835	391	13	all	all	PRON
ejpam-6835	391	14	mk	mk	NOUN
ejpam-6835	391	15	=	=	SYM
ejpam-6835	391	16	2mk−1	2mk−1	NUM
ejpam-6835	391	17	subsets	subset	NOUN
ejpam-6835	391	18	of	of	ADP
ejpam-6835	391	19	psk−1(v0	psk−1(v0	NOUN
ejpam-6835	391	20	)	)	PUNCT
ejpam-6835	391	21	(	(	PUNCT
ejpam-6835	391	22	each	each	PRON
ejpam-6835	391	23	of	of	ADP
ejpam-6835	391	24	size	size	NOUN
ejpam-6835	391	25	up	up	ADP
ejpam-6835	391	26	to	to	ADP
ejpam-6835	391	27	mk−1	mk−1	NOUN
ejpam-6835	391	28	=	=	PUNCT
ejpam-6835	391	29	log2mk	log2mk	NOUN
ejpam-6835	391	30	)	)	PUNCT
ejpam-6835	391	31	costs	cost	VERB
ejpam-6835	391	32	θ(mk	θ(mk	NOUN
ejpam-6835	391	33	mk−1	mk−1	ADJ
ejpam-6835	391	34	)	)	PUNCT
ejpam-6835	391	35	=	=	SYM
ejpam-6835	391	36	θ(mk	θ(mk	NOUN
ejpam-6835	391	37	logmk	logmk	NOUN
ejpam-6835	391	38	)	)	PUNCT
ejpam-6835	391	39	.	.	PUNCT
ejpam-6835	392	1	summing	sum	VERB
ejpam-6835	392	2	over	over	ADP
ejpam-6835	392	3	k	k	PROPN
ejpam-6835	392	4	is	be	AUX
ejpam-6835	392	5	dominated	dominate	VERB
ejpam-6835	392	6	by	by	ADP
ejpam-6835	392	7	k	k	PROPN
ejpam-6835	392	8	=	=	SYM
ejpam-6835	392	9	n	n	CCONJ
ejpam-6835	392	10	,	,	PUNCT
ejpam-6835	392	11	giving	give	VERB
ejpam-6835	392	12	θ(mn	θ(mn	PRON
ejpam-6835	392	13	logmn	logmn	NOUN
ejpam-6835	392	14	)	)	PUNCT
ejpam-6835	392	15	.	.	PUNCT
ejpam-6835	393	1	random	random	ADJ
ejpam-6835	393	2	selection	selection	NOUN
ejpam-6835	393	3	:	:	PUNCT
ejpam-6835	393	4	testing	test	VERB
ejpam-6835	393	5	each	each	PRON
ejpam-6835	393	6	of	of	ADP
ejpam-6835	393	7	the	the	DET
ejpam-6835	393	8	mn	mn	PROPN
ejpam-6835	393	9	candidates	candidate	NOUN
ejpam-6835	393	10	costs	cost	VERB
ejpam-6835	393	11	θ(mn	θ(mn	PRON
ejpam-6835	393	12	)	)	PUNCT
ejpam-6835	393	13	,	,	PUNCT
ejpam-6835	393	14	which	which	PRON
ejpam-6835	393	15	is	be	AUX
ejpam-6835	393	16	lower	low	ADJ
ejpam-6835	393	17	order	order	NOUN
ejpam-6835	393	18	.	.	PUNCT
ejpam-6835	394	1	hence	hence	ADV
ejpam-6835	394	2	t	t	PROPN
ejpam-6835	394	3	(	(	PUNCT
ejpam-6835	394	4	n	n	CCONJ
ejpam-6835	394	5	)	)	PUNCT
ejpam-6835	394	6	=	=	SYM
ejpam-6835	395	1	θ(mn	θ(mn	SYM
ejpam-6835	395	2	logmn	logmn	NOUN
ejpam-6835	395	3	)	)	PUNCT
ejpam-6835	395	4	.	.	PUNCT
ejpam-6835	396	1	t.	t.	PROPN
ejpam-6835	396	2	fujita	fujita	PROPN
ejpam-6835	396	3	,	,	PUNCT
ejpam-6835	396	4	f.	f.	PROPN
ejpam-6835	396	5	smarandache	smarandache	PROPN
ejpam-6835	396	6	/	/	SYM
ejpam-6835	396	7	eur	eur	PROPN
ejpam-6835	396	8	.	.	PUNCT
ejpam-6835	397	1	j.	j.	PROPN
ejpam-6835	397	2	pure	pure	PROPN
ejpam-6835	397	3	appl	appl	PROPN
ejpam-6835	397	4	.	.	PROPN
ejpam-6835	397	5	math	math	PROPN
ejpam-6835	397	6	,	,	PUNCT
ejpam-6835	397	7	18	18	NUM
ejpam-6835	397	8	(	(	PUNCT
ejpam-6835	397	9	4	4	NUM
ejpam-6835	397	10	)	)	PUNCT
ejpam-6835	397	11	(	(	PUNCT
ejpam-6835	397	12	2025	2025	NUM
ejpam-6835	397	13	)	)	PUNCT
ejpam-6835	397	14	,	,	PUNCT
ejpam-6835	397	15	6835	6835	NUM
ejpam-6835	397	16	18	18	NUM
ejpam-6835	397	17	of	of	ADP
ejpam-6835	397	18	29	29	NUM
ejpam-6835	397	19	theorem	theorem	VERB
ejpam-6835	397	20	16	16	NUM
ejpam-6835	397	21	(	(	PUNCT
ejpam-6835	397	22	space	space	NOUN
ejpam-6835	397	23	complexity	complexity	NOUN
ejpam-6835	397	24	)	)	PUNCT
ejpam-6835	397	25	.	.	PUNCT
ejpam-6835	398	1	with	with	ADP
ejpam-6835	398	2	mn	mn	PROPN
ejpam-6835	398	3	=	=	SYM
ejpam-6835	398	4	|psn(v0)|	|psn(v0)|	NOUN
ejpam-6835	398	5	,	,	PUNCT
ejpam-6835	398	6	the	the	DET
ejpam-6835	398	7	algorithm	algorithm	NOUN
ejpam-6835	398	8	uses	use	VERB
ejpam-6835	398	9	s(n	s(n	NOUN
ejpam-6835	398	10	)	)	PUNCT
ejpam-6835	399	1	=	=	SYM
ejpam-6835	399	2	θ	θ	PROPN
ejpam-6835	399	3	(	(	PUNCT
ejpam-6835	399	4	mn	mn	PROPN
ejpam-6835	399	5	logmn	logmn	PROPN
ejpam-6835	399	6	)	)	PUNCT
ejpam-6835	399	7	space	space	NOUN
ejpam-6835	399	8	.	.	PUNCT
ejpam-6835	400	1	proof	proof	NOUN
ejpam-6835	400	2	.	.	PUNCT
ejpam-6835	401	1	at	at	ADP
ejpam-6835	401	2	stage	stage	NOUN
ejpam-6835	401	3	k	k	PROPN
ejpam-6835	401	4	,	,	PUNCT
ejpam-6835	401	5	storing	store	VERB
ejpam-6835	401	6	psk(v0	psk(v0	PROPN
ejpam-6835	401	7	)	)	PUNCT
ejpam-6835	401	8	of	of	ADP
ejpam-6835	401	9	size	size	NOUN
ejpam-6835	401	10	mk	mk	NOUN
ejpam-6835	401	11	requires	require	VERB
ejpam-6835	401	12	θ(mk	θ(mk	NOUN
ejpam-6835	401	13	mk−1	mk−1	ADJ
ejpam-6835	401	14	)	)	PUNCT
ejpam-6835	401	15	bits	bit	NOUN
ejpam-6835	401	16	(	(	PUNCT
ejpam-6835	401	17	each	each	DET
ejpam-6835	401	18	subset	subset	NOUN
ejpam-6835	401	19	encoded	encode	VERB
ejpam-6835	401	20	in	in	ADP
ejpam-6835	401	21	θ(mk−1	θ(mk−1	NOUN
ejpam-6835	401	22	)	)	PUNCT
ejpam-6835	401	23	bits	bit	NOUN
ejpam-6835	401	24	)	)	PUNCT
ejpam-6835	401	25	.	.	PUNCT
ejpam-6835	402	1	the	the	DET
ejpam-6835	402	2	maximum	maximum	PROPN
ejpam-6835	402	3	occurs	occur	VERB
ejpam-6835	402	4	at	at	ADP
ejpam-6835	402	5	k	k	PROPN
ejpam-6835	402	6	=	=	PUNCT
ejpam-6835	402	7	n	n	CCONJ
ejpam-6835	402	8	,	,	PUNCT
ejpam-6835	402	9	giving	give	VERB
ejpam-6835	402	10	θ(mn	θ(mn	PRON
ejpam-6835	402	11	logmn	logmn	NOUN
ejpam-6835	402	12	)	)	PUNCT
ejpam-6835	402	13	.	.	PUNCT
ejpam-6835	403	1	the	the	DET
ejpam-6835	403	2	additional	additional	ADJ
ejpam-6835	403	3	θ(mn	θ(mn	PROPN
ejpam-6835	403	4	)	)	PUNCT
ejpam-6835	403	5	space	space	NOUN
ejpam-6835	403	6	for	for	ADP
ejpam-6835	403	7	the	the	DET
ejpam-6835	403	8	edge	edge	NOUN
ejpam-6835	403	9	set	set	NOUN
ejpam-6835	403	10	e	e	NOUN
ejpam-6835	403	11	is	be	AUX
ejpam-6835	403	12	asymptotically	asymptotically	ADV
ejpam-6835	403	13	smaller	small	ADJ
ejpam-6835	403	14	.	.	PUNCT
ejpam-6835	404	1	next	next	ADV
ejpam-6835	404	2	,	,	PUNCT
ejpam-6835	404	3	as	as	ADP
ejpam-6835	404	4	an	an	DET
ejpam-6835	404	5	example	example	NOUN
ejpam-6835	404	6	of	of	ADP
ejpam-6835	404	7	a	a	DET
ejpam-6835	404	8	graph	graph	NOUN
ejpam-6835	404	9	algorithm	algorithm	NOUN
ejpam-6835	404	10	that	that	PRON
ejpam-6835	404	11	mitigates	mitigate	VERB
ejpam-6835	404	12	the	the	DET
ejpam-6835	404	13	aforementioned	aforementioned	ADJ
ejpam-6835	404	14	complexity	complexity	NOUN
ejpam-6835	404	15	,	,	PUNCT
ejpam-6835	404	16	we	we	PRON
ejpam-6835	404	17	present	present	VERB
ejpam-6835	404	18	a	a	DET
ejpam-6835	404	19	size	size	NOUN
ejpam-6835	404	20	-	-	PUNCT
ejpam-6835	404	21	sampling	sample	VERB
ejpam-6835	404	22	–	–	PUNCT
ejpam-6835	404	23	based	base	VERB
ejpam-6835	404	24	approach	approach	NOUN
ejpam-6835	404	25	.	.	PUNCT
ejpam-6835	405	1	the	the	DET
ejpam-6835	405	2	algorithm	algorithm	NOUN
ejpam-6835	405	3	is	be	AUX
ejpam-6835	405	4	detailed	detail	VERB
ejpam-6835	405	5	in	in	ADP
ejpam-6835	405	6	algorithm	algorithm	NOUN
ejpam-6835	405	7	2	2	NUM
ejpam-6835	405	8	.	.	PUNCT
ejpam-6835	405	9	algorithm	algorithm	NOUN
ejpam-6835	405	10	2	2	NUM
ejpam-6835	405	11	generate	generate	VERB
ejpam-6835	405	12	a	a	DET
ejpam-6835	405	13	random	random	ADJ
ejpam-6835	405	14	n	n	CCONJ
ejpam-6835	405	15	-	-	PUNCT
ejpam-6835	405	16	superhypergraph	superhypergraph	NOUN
ejpam-6835	405	17	by	by	ADP
ejpam-6835	405	18	size	size	NOUN
ejpam-6835	405	19	-	-	PUNCT
ejpam-6835	405	20	sampling	sample	VERB
ejpam-6835	405	21	require	require	NOUN
ejpam-6835	405	22	:	:	PUNCT
ejpam-6835	405	23	a	a	DET
ejpam-6835	405	24	finite	finite	ADJ
ejpam-6835	405	25	base	base	NOUN
ejpam-6835	405	26	set	set	VERB
ejpam-6835	405	27	v0	v0	NOUN
ejpam-6835	405	28	,	,	PUNCT
ejpam-6835	405	29	integer	integer	PROPN
ejpam-6835	405	30	n	n	PRON
ejpam-6835	405	31	≥	≥	NUM
ejpam-6835	405	32	1	1	NUM
ejpam-6835	405	33	,	,	PUNCT
ejpam-6835	405	34	probability	probability	NOUN
ejpam-6835	405	35	p	p	X
ejpam-6835	405	36	∈	∈	PROPN
ejpam-6835	406	1	[	[	X
ejpam-6835	406	2	0	0	NUM
ejpam-6835	406	3	,	,	PUNCT
ejpam-6835	406	4	1	1	NUM
ejpam-6835	406	5	]	]	PUNCT
ejpam-6835	406	6	ensure	ensure	VERB
ejpam-6835	406	7	:	:	PUNCT
ejpam-6835	406	8	a	a	DET
ejpam-6835	406	9	random	random	ADJ
ejpam-6835	406	10	n	n	CCONJ
ejpam-6835	406	11	-	-	PUNCT
ejpam-6835	406	12	superhypergraph	superhypergraph	NOUN
ejpam-6835	406	13	suhg(n	suhg(n	NOUN
ejpam-6835	406	14	)	)	PUNCT
ejpam-6835	406	15	=	=	SYM
ejpam-6835	406	16	(	(	PUNCT
ejpam-6835	406	17	v	v	NOUN
ejpam-6835	406	18	(	(	PUNCT
ejpam-6835	406	19	n	n	CCONJ
ejpam-6835	406	20	)	)	PUNCT
ejpam-6835	406	21	,	,	PUNCT
ejpam-6835	406	22	e	e	X
ejpam-6835	406	23	)	)	PUNCT
ejpam-6835	406	24	1	1	NUM
ejpam-6835	406	25	:	:	PUNCT
ejpam-6835	406	26	compute	compute	NOUN
ejpam-6835	406	27	v	v	PROPN
ejpam-6835	406	28	(	(	PUNCT
ejpam-6835	406	29	n	n	CCONJ
ejpam-6835	406	30	)	)	PUNCT
ejpam-6835	406	31	←	←	PROPN
ejpam-6835	406	32	psn(v0	psn(v0	PROPN
ejpam-6835	406	33	)	)	PUNCT
ejpam-6835	406	34	,	,	PUNCT
ejpam-6835	406	35	let	let	VERB
ejpam-6835	406	36	m	m	VERB
ejpam-6835	406	37	=	=	VERB
ejpam-6835	406	38	|v	|v	X
ejpam-6835	406	39	(	(	PUNCT
ejpam-6835	406	40	n)|	n)|	NOUN
ejpam-6835	406	41	2	2	NUM
ejpam-6835	406	42	:	:	PUNCT
ejpam-6835	406	43	initialize	initialize	NOUN
ejpam-6835	406	44	e	e	NOUN
ejpam-6835	406	45	←	←	PROPN
ejpam-6835	406	46	∅	∅	NOUN
ejpam-6835	406	47	3	3	NUM
ejpam-6835	406	48	:	:	PUNCT
ejpam-6835	406	49	for	for	ADP
ejpam-6835	406	50	s	s	NOUN
ejpam-6835	406	51	=	=	SYM
ejpam-6835	406	52	1	1	NUM
ejpam-6835	406	53	to	to	PART
ejpam-6835	406	54	m	m	PROPN
ejpam-6835	406	55	do	do	VERB
ejpam-6835	406	56	4	4	NUM
ejpam-6835	406	57	:	:	PUNCT
ejpam-6835	406	58	ms	ms	PROPN
ejpam-6835	406	59	←	←	PROPN
ejpam-6835	406	60	(	(	PUNCT
ejpam-6835	406	61	m	m	PROPN
ejpam-6835	406	62	s	s	PART
ejpam-6835	406	63	)	)	PUNCT
ejpam-6835	406	64	5	5	NUM
ejpam-6835	406	65	:	:	PUNCT
ejpam-6835	406	66	draw	draw	VERB
ejpam-6835	406	67	ks	ks	NOUN
ejpam-6835	406	68	∼	∼	NOUN
ejpam-6835	406	69	binomial(ms	binomial(ms	ADJ
ejpam-6835	406	70	,	,	PUNCT
ejpam-6835	406	71	p	p	NOUN
ejpam-6835	406	72	)	)	PUNCT
ejpam-6835	406	73	6	6	NUM
ejpam-6835	406	74	:	:	PUNCT
ejpam-6835	406	75	for	for	ADP
ejpam-6835	406	76	i	i	PRON
ejpam-6835	406	77	=	=	NOUN
ejpam-6835	406	78	1	1	NUM
ejpam-6835	406	79	to	to	AUX
ejpam-6835	406	80	ks	ks	PROPN
ejpam-6835	406	81	do	do	VERB
ejpam-6835	406	82	7	7	NUM
ejpam-6835	406	83	:	:	PUNCT
ejpam-6835	406	84	sample	sample	VERB
ejpam-6835	406	85	uniformly	uniformly	ADV
ejpam-6835	406	86	an	an	DET
ejpam-6835	406	87	s	s	NOUN
ejpam-6835	406	88	-	-	NOUN
ejpam-6835	406	89	subset	subset	VERB
ejpam-6835	406	90	e	e	NOUN
ejpam-6835	406	91	⊆	⊆	NUM
ejpam-6835	406	92	v	v	NOUN
ejpam-6835	406	93	(	(	PUNCT
ejpam-6835	406	94	n	n	CCONJ
ejpam-6835	406	95	)	)	PUNCT
ejpam-6835	406	96	without	without	ADP
ejpam-6835	406	97	replacement	replacement	NOUN
ejpam-6835	406	98	8	8	NUM
ejpam-6835	406	99	:	:	PUNCT
ejpam-6835	406	100	if	if	SCONJ
ejpam-6835	406	101	e	e	X
ejpam-6835	406	102	/∈	/∈	PUNCT
ejpam-6835	407	1	e	e	X
ejpam-6835	407	2	then	then	ADV
ejpam-6835	407	3	e	e	PROPN
ejpam-6835	407	4	←	←	PROPN
ejpam-6835	407	5	e	e	PROPN
ejpam-6835	407	6	∪	∪	X
ejpam-6835	407	7	{	{	PUNCT
ejpam-6835	407	8	e	e	NOUN
ejpam-6835	407	9	}	}	PUNCT
ejpam-6835	407	10	9	9	NUM
ejpam-6835	407	11	:	:	PUNCT
ejpam-6835	407	12	end	end	VERB
ejpam-6835	407	13	if	if	SCONJ
ejpam-6835	407	14	10	10	NUM
ejpam-6835	407	15	:	:	PUNCT
ejpam-6835	407	16	end	end	VERB
ejpam-6835	407	17	for	for	ADP
ejpam-6835	407	18	11	11	NUM
ejpam-6835	407	19	:	:	PUNCT
ejpam-6835	407	20	end	end	VERB
ejpam-6835	407	21	for	for	ADP
ejpam-6835	407	22	12	12	NUM
ejpam-6835	407	23	:	:	PUNCT
ejpam-6835	407	24	return	return	VERB
ejpam-6835	407	25	suhg(n	suhg(n	NOUN
ejpam-6835	407	26	)	)	PUNCT
ejpam-6835	407	27	=	=	SYM
ejpam-6835	407	28	(	(	PUNCT
ejpam-6835	407	29	v	v	NOUN
ejpam-6835	407	30	(	(	PUNCT
ejpam-6835	407	31	n	n	CCONJ
ejpam-6835	407	32	)	)	PUNCT
ejpam-6835	407	33	,	,	PUNCT
ejpam-6835	407	34	e	e	X
ejpam-6835	407	35	)	)	PUNCT
ejpam-6835	407	36	remark	remark	NOUN
ejpam-6835	407	37	2	2	NUM
ejpam-6835	407	38	.	.	PUNCT
ejpam-6835	408	1	this	this	DET
ejpam-6835	408	2	size	size	NOUN
ejpam-6835	408	3	-	-	PUNCT
ejpam-6835	408	4	sampling	sample	VERB
ejpam-6835	408	5	approach	approach	NOUN
ejpam-6835	408	6	avoids	avoid	VERB
ejpam-6835	408	7	iterating	iterate	VERB
ejpam-6835	408	8	over	over	ADP
ejpam-6835	408	9	all	all	DET
ejpam-6835	408	10	2	2	NUM
ejpam-6835	408	11	m	m	NOUN
ejpam-6835	408	12	−	−	NOUN
ejpam-6835	408	13	1	1	NUM
ejpam-6835	408	14	possible	possible	ADJ
ejpam-6835	408	15	hyperedges	hyperedge	NOUN
ejpam-6835	408	16	.	.	PUNCT
ejpam-6835	409	1	instead	instead	ADV
ejpam-6835	409	2	,	,	PUNCT
ejpam-6835	409	3	for	for	ADP
ejpam-6835	409	4	each	each	DET
ejpam-6835	409	5	edge	edge	NOUN
ejpam-6835	409	6	-	-	PUNCT
ejpam-6835	409	7	size	size	NOUN
ejpam-6835	409	8	s	s	X
ejpam-6835	409	9	,	,	PUNCT
ejpam-6835	409	10	it	it	PRON
ejpam-6835	409	11	first	first	ADV
ejpam-6835	409	12	draws	draw	VERB
ejpam-6835	409	13	the	the	DET
ejpam-6835	409	14	number	number	NOUN
ejpam-6835	409	15	ks	ks	NOUN
ejpam-6835	409	16	of	of	ADP
ejpam-6835	409	17	s	s	NOUN
ejpam-6835	409	18	-	-	PUNCT
ejpam-6835	409	19	hyperedges	hyperedge	NOUN
ejpam-6835	409	20	to	to	PART
ejpam-6835	409	21	include	include	VERB
ejpam-6835	409	22	(	(	PUNCT
ejpam-6835	409	23	a	a	DET
ejpam-6835	409	24	binomial	binomial	ADJ
ejpam-6835	409	25	(	(	PUNCT
ejpam-6835	409	26	(	(	PUNCT
ejpam-6835	409	27	m	m	PROPN
ejpam-6835	409	28	s	s	PART
ejpam-6835	409	29	)	)	PUNCT
ejpam-6835	409	30	,	,	PUNCT
ejpam-6835	409	31	p	p	X
ejpam-6835	409	32	)	)	PUNCT
ejpam-6835	409	33	variate	variate	NOUN
ejpam-6835	409	34	)	)	PUNCT
ejpam-6835	409	35	,	,	PUNCT
ejpam-6835	409	36	then	then	ADV
ejpam-6835	409	37	samples	sample	VERB
ejpam-6835	409	38	exactly	exactly	ADV
ejpam-6835	409	39	ks	ks	ADP
ejpam-6835	409	40	distinct	distinct	PROPN
ejpam-6835	409	41	s	s	NOUN
ejpam-6835	409	42	-	-	PUNCT
ejpam-6835	409	43	subsets	subset	NOUN
ejpam-6835	409	44	uniformly	uniformly	ADV
ejpam-6835	409	45	at	at	ADP
ejpam-6835	409	46	random	random	ADJ
ejpam-6835	409	47	.	.	PUNCT
ejpam-6835	410	1	when	when	SCONJ
ejpam-6835	410	2	p	p	NOUN
ejpam-6835	410	3	is	be	AUX
ejpam-6835	410	4	small	small	ADJ
ejpam-6835	410	5	or	or	CCONJ
ejpam-6835	410	6	one	one	NUM
ejpam-6835	410	7	restricts	restrict	VERB
ejpam-6835	410	8	to	to	PART
ejpam-6835	410	9	moderate	moderate	VERB
ejpam-6835	410	10	s	s	PROPN
ejpam-6835	410	11	,	,	PUNCT
ejpam-6835	410	12	the	the	DET
ejpam-6835	410	13	running	running	ADJ
ejpam-6835	410	14	time	time	NOUN
ejpam-6835	410	15	and	and	CCONJ
ejpam-6835	410	16	memory	memory	NOUN
ejpam-6835	410	17	scale	scale	NOUN
ejpam-6835	410	18	with	with	ADP
ejpam-6835	410	19	∑	∑	ADV
ejpam-6835	410	20	sks	sks	PROPN
ejpam-6835	410	21	·	·	PUNCT
ejpam-6835	410	22	s	s	VERB
ejpam-6835	410	23	rather	rather	ADV
ejpam-6835	410	24	than	than	ADP
ejpam-6835	410	25	∑	∑	PROPN
ejpam-6835	410	26	s	s	PART
ejpam-6835	410	27	(	(	PUNCT
ejpam-6835	410	28	m	m	PROPN
ejpam-6835	410	29	s	s	PART
ejpam-6835	410	30	)	)	PUNCT
ejpam-6835	410	31	.	.	PUNCT
ejpam-6835	411	1	example	example	NOUN
ejpam-6835	411	2	14	14	NUM
ejpam-6835	411	3	(	(	PUNCT
ejpam-6835	411	4	size	size	NOUN
ejpam-6835	411	5	-	-	PUNCT
ejpam-6835	411	6	sampling	sampling	NOUN
ejpam-6835	411	7	in	in	ADP
ejpam-6835	411	8	action	action	NOUN
ejpam-6835	411	9	)	)	PUNCT
ejpam-6835	411	10	.	.	PUNCT
ejpam-6835	412	1	let	let	VERB
ejpam-6835	412	2	the	the	DET
ejpam-6835	412	3	base	base	NOUN
ejpam-6835	412	4	set	set	NOUN
ejpam-6835	412	5	be	be	AUX
ejpam-6835	412	6	v0	v0	NOUN
ejpam-6835	412	7	=	=	SYM
ejpam-6835	412	8	{	{	PUNCT
ejpam-6835	412	9	hiroko	hiroko	NOUN
ejpam-6835	412	10	,	,	PUNCT
ejpam-6835	412	11	yutaka	yutaka	PROPN
ejpam-6835	412	12	}	}	PUNCT
ejpam-6835	412	13	.	.	PUNCT
ejpam-6835	413	1	then	then	ADV
ejpam-6835	413	2	the	the	DET
ejpam-6835	413	3	level-1	level-1	NUM
ejpam-6835	413	4	supervertex	supervertex	NOUN
ejpam-6835	413	5	set	set	NOUN
ejpam-6835	413	6	is	be	AUX
ejpam-6835	413	7	v	v	NOUN
ejpam-6835	413	8	(	(	PUNCT
ejpam-6835	413	9	1	1	NUM
ejpam-6835	413	10	)	)	PUNCT
ejpam-6835	413	11	=	=	SYM
ejpam-6835	413	12	ps1(v0	ps1(v0	PROPN
ejpam-6835	413	13	)	)	PUNCT
ejpam-6835	413	14	=	=	SYM
ejpam-6835	413	15	{	{	PUNCT
ejpam-6835	413	16	∅	∅	NOUN
ejpam-6835	413	17	,	,	PUNCT
ejpam-6835	413	18	{	{	PUNCT
ejpam-6835	413	19	hiroko	hiroko	NOUN
ejpam-6835	413	20	}	}	PUNCT
ejpam-6835	413	21	,	,	PUNCT
ejpam-6835	413	22	{	{	PUNCT
ejpam-6835	413	23	yutaka	yutaka	PROPN
ejpam-6835	413	24	}	}	PUNCT
ejpam-6835	413	25	,	,	PUNCT
ejpam-6835	413	26	{	{	PUNCT
ejpam-6835	413	27	hiroko	hiroko	NOUN
ejpam-6835	413	28	,	,	PUNCT
ejpam-6835	413	29	yutaka	yutaka	PROPN
ejpam-6835	413	30	}	}	PUNCT
ejpam-6835	413	31	}	}	PUNCT
ejpam-6835	413	32	,	,	PUNCT
ejpam-6835	413	33	so	so	ADV
ejpam-6835	413	34	m	m	VERB
ejpam-6835	413	35	=	=	ADJ
ejpam-6835	413	36	|v	|v	X
ejpam-6835	413	37	(	(	PUNCT
ejpam-6835	413	38	1)|	1)|	NUM
ejpam-6835	413	39	=	=	SYM
ejpam-6835	413	40	4	4	X
ejpam-6835	413	41	.	.	X
ejpam-6835	414	1	we	we	PRON
ejpam-6835	414	2	choose	choose	VERB
ejpam-6835	414	3	p	p	NOUN
ejpam-6835	414	4	=	=	NOUN
ejpam-6835	414	5	0.3	0.3	NUM
ejpam-6835	414	6	.	.	PUNCT
ejpam-6835	415	1	algorithm	algorithm	NOUN
ejpam-6835	415	2	2	2	NUM
ejpam-6835	415	3	proceeds	proceed	NOUN
ejpam-6835	415	4	as	as	SCONJ
ejpam-6835	415	5	follows	follow	VERB
ejpam-6835	415	6	:	:	PUNCT
ejpam-6835	415	7	t.	t.	PROPN
ejpam-6835	415	8	fujita	fujita	PROPN
ejpam-6835	415	9	,	,	PUNCT
ejpam-6835	415	10	f.	f.	PROPN
ejpam-6835	415	11	smarandache	smarandache	PROPN
ejpam-6835	415	12	/	/	SYM
ejpam-6835	415	13	eur	eur	PROPN
ejpam-6835	415	14	.	.	PUNCT
ejpam-6835	416	1	j.	j.	PROPN
ejpam-6835	416	2	pure	pure	PROPN
ejpam-6835	416	3	appl	appl	PROPN
ejpam-6835	416	4	.	.	PROPN
ejpam-6835	416	5	math	math	PROPN
ejpam-6835	416	6	,	,	PUNCT
ejpam-6835	416	7	18	18	NUM
ejpam-6835	416	8	(	(	PUNCT
ejpam-6835	416	9	4	4	NUM
ejpam-6835	416	10	)	)	PUNCT
ejpam-6835	416	11	(	(	PUNCT
ejpam-6835	416	12	2025	2025	NUM
ejpam-6835	416	13	)	)	PUNCT
ejpam-6835	416	14	,	,	PUNCT
ejpam-6835	416	15	6835	6835	NUM
ejpam-6835	416	16	19	19	NUM
ejpam-6835	416	17	of	of	ADP
ejpam-6835	416	18	29	29	NUM
ejpam-6835	416	19	•	•	NOUN
ejpam-6835	416	20	s	s	NOUN
ejpam-6835	416	21	=	=	NOUN
ejpam-6835	416	22	1	1	NUM
ejpam-6835	416	23	:	:	PUNCT
ejpam-6835	416	24	m1	m1	PROPN
ejpam-6835	416	25	=	=	SYM
ejpam-6835	416	26	(	(	PUNCT
ejpam-6835	416	27	4	4	NUM
ejpam-6835	416	28	1	1	NUM
ejpam-6835	416	29	)	)	PUNCT
ejpam-6835	416	30	=	=	SYM
ejpam-6835	416	31	4	4	NUM
ejpam-6835	416	32	,	,	PUNCT
ejpam-6835	416	33	k1	k1	ADJ
ejpam-6835	416	34	∼	∼	NOUN
ejpam-6835	416	35	binomial(4	binomial(4	PROPN
ejpam-6835	416	36	,	,	PUNCT
ejpam-6835	416	37	0.3	0.3	NUM
ejpam-6835	416	38	)	)	PUNCT
ejpam-6835	416	39	,	,	PUNCT
ejpam-6835	416	40	k1	k1	NOUN
ejpam-6835	416	41	=	=	SYM
ejpam-6835	416	42	1	1	X
ejpam-6835	416	43	.	.	PUNCT
ejpam-6835	416	44	sample	sample	NOUN
ejpam-6835	416	45	one	one	NUM
ejpam-6835	416	46	1	1	NUM
ejpam-6835	416	47	-	-	NOUN
ejpam-6835	416	48	subset	subset	NOUN
ejpam-6835	416	49	from	from	ADP
ejpam-6835	416	50	v	v	NUM
ejpam-6835	416	51	(	(	PUNCT
ejpam-6835	416	52	1	1	NUM
ejpam-6835	416	53	)	)	PUNCT
ejpam-6835	416	54	,	,	PUNCT
ejpam-6835	416	55	e.g.	e.g.	ADV
ejpam-6835	416	56	e1	e1	NOUN
ejpam-6835	416	57	=	=	SYM
ejpam-6835	416	58	{	{	PUNCT
ejpam-6835	416	59	{	{	PUNCT
ejpam-6835	416	60	yutaka	yutaka	PROPN
ejpam-6835	416	61	}	}	PUNCT
ejpam-6835	416	62	}	}	PUNCT
ejpam-6835	416	63	.	.	PUNCT
ejpam-6835	417	1	•	•	NUM
ejpam-6835	417	2	s	s	NOUN
ejpam-6835	417	3	=	=	NOUN
ejpam-6835	417	4	2	2	NUM
ejpam-6835	417	5	:	:	PUNCT
ejpam-6835	418	1	m2	m2	PROPN
ejpam-6835	418	2	=	=	PUNCT
ejpam-6835	418	3	(	(	PUNCT
ejpam-6835	418	4	4	4	NUM
ejpam-6835	418	5	2	2	NUM
ejpam-6835	418	6	)	)	PUNCT
ejpam-6835	418	7	=	=	SYM
ejpam-6835	418	8	6	6	NUM
ejpam-6835	418	9	,	,	PUNCT
ejpam-6835	418	10	k2	k2	ADJ
ejpam-6835	418	11	∼	∼	NOUN
ejpam-6835	418	12	binomial(6	binomial(6	NOUN
ejpam-6835	418	13	,	,	PUNCT
ejpam-6835	418	14	0.3	0.3	NUM
ejpam-6835	418	15	)	)	PUNCT
ejpam-6835	418	16	,	,	PUNCT
ejpam-6835	418	17	k2	k2	NOUN
ejpam-6835	418	18	=	=	SYM
ejpam-6835	418	19	2	2	X
ejpam-6835	418	20	.	.	X
ejpam-6835	418	21	sample	sample	NOUN
ejpam-6835	418	22	two	two	NUM
ejpam-6835	418	23	2	2	NUM
ejpam-6835	418	24	-	-	PUNCT
ejpam-6835	418	25	subsets	subset	NOUN
ejpam-6835	418	26	,	,	PUNCT
ejpam-6835	418	27	for	for	ADP
ejpam-6835	418	28	instance	instance	NOUN
ejpam-6835	418	29	e2	e2	PROPN
ejpam-6835	418	30	=	=	SYM
ejpam-6835	418	31	{	{	PUNCT
ejpam-6835	418	32	{	{	PUNCT
ejpam-6835	418	33	hiroko	hiroko	NOUN
ejpam-6835	418	34	}	}	PUNCT
ejpam-6835	418	35	,	,	PUNCT
ejpam-6835	418	36	{	{	PUNCT
ejpam-6835	418	37	hiroko	hiroko	NOUN
ejpam-6835	418	38	,	,	PUNCT
ejpam-6835	418	39	yutaka	yutaka	PROPN
ejpam-6835	418	40	}	}	PUNCT
ejpam-6835	418	41	}	}	PUNCT
ejpam-6835	418	42	,	,	PUNCT
ejpam-6835	418	43	e3	e3	NOUN
ejpam-6835	418	44	=	=	SYM
ejpam-6835	418	45	{	{	PUNCT
ejpam-6835	418	46	{	{	PUNCT
ejpam-6835	418	47	yutaka	yutaka	PROPN
ejpam-6835	418	48	}	}	PUNCT
ejpam-6835	418	49	,	,	PUNCT
ejpam-6835	418	50	{	{	PUNCT
ejpam-6835	418	51	hiroko	hiroko	NOUN
ejpam-6835	418	52	,	,	PUNCT
ejpam-6835	418	53	yutaka	yutaka	PROPN
ejpam-6835	418	54	}	}	PUNCT
ejpam-6835	418	55	}	}	PUNCT
ejpam-6835	418	56	.	.	PUNCT
ejpam-6835	419	1	•	•	NUM
ejpam-6835	419	2	s	s	NOUN
ejpam-6835	419	3	=	=	NOUN
ejpam-6835	419	4	3	3	NUM
ejpam-6835	419	5	:	:	PUNCT
ejpam-6835	419	6	m3	m3	PROPN
ejpam-6835	419	7	=	=	PUNCT
ejpam-6835	419	8	(	(	PUNCT
ejpam-6835	419	9	4	4	NUM
ejpam-6835	419	10	3	3	NUM
ejpam-6835	419	11	)	)	PUNCT
ejpam-6835	419	12	=	=	SYM
ejpam-6835	419	13	4	4	NUM
ejpam-6835	419	14	,	,	PUNCT
ejpam-6835	419	15	k3	k3	VERB
ejpam-6835	419	16	∼	∼	NOUN
ejpam-6835	419	17	binomial(4	binomial(4	NOUN
ejpam-6835	419	18	,	,	PUNCT
ejpam-6835	419	19	0.3	0.3	NUM
ejpam-6835	419	20	)	)	PUNCT
ejpam-6835	419	21	,	,	PUNCT
ejpam-6835	419	22	k3	k3	X
ejpam-6835	419	23	=	=	NOUN
ejpam-6835	419	24	1	1	X
ejpam-6835	419	25	.	.	PUNCT
ejpam-6835	419	26	sample	sample	NOUN
ejpam-6835	419	27	one	one	NUM
ejpam-6835	419	28	3	3	NUM
ejpam-6835	419	29	-	-	PUNCT
ejpam-6835	419	30	subset	subset	NOUN
ejpam-6835	419	31	,	,	PUNCT
ejpam-6835	419	32	e.g.	e.g.	ADV
ejpam-6835	419	33	e4	e4	PROPN
ejpam-6835	419	34	=	=	SYM
ejpam-6835	419	35	{	{	PUNCT
ejpam-6835	419	36	{	{	PUNCT
ejpam-6835	419	37	hiroko	hiroko	NOUN
ejpam-6835	419	38	}	}	PUNCT
ejpam-6835	419	39	,	,	PUNCT
ejpam-6835	419	40	{	{	PUNCT
ejpam-6835	419	41	yutaka	yutaka	PROPN
ejpam-6835	419	42	}	}	PUNCT
ejpam-6835	419	43	,	,	PUNCT
ejpam-6835	419	44	{	{	PUNCT
ejpam-6835	419	45	hiroko	hiroko	NOUN
ejpam-6835	419	46	,	,	PUNCT
ejpam-6835	419	47	yutaka	yutaka	PROPN
ejpam-6835	419	48	}	}	PUNCT
ejpam-6835	419	49	}	}	PUNCT
ejpam-6835	419	50	.	.	PUNCT
ejpam-6835	420	1	•	•	NUM
ejpam-6835	420	2	s	s	NOUN
ejpam-6835	420	3	=	=	NOUN
ejpam-6835	420	4	4	4	NUM
ejpam-6835	420	5	:	:	PUNCT
ejpam-6835	420	6	m4	m4	PROPN
ejpam-6835	420	7	=	=	PUNCT
ejpam-6835	420	8	(	(	PUNCT
ejpam-6835	420	9	4	4	NUM
ejpam-6835	420	10	4	4	NUM
ejpam-6835	420	11	)	)	PUNCT
ejpam-6835	420	12	=	=	SYM
ejpam-6835	421	1	1	1	NUM
ejpam-6835	421	2	,	,	PUNCT
ejpam-6835	421	3	k4	k4	ADJ
ejpam-6835	421	4	∼	∼	NOUN
ejpam-6835	421	5	binomial(1	binomial(1	NOUN
ejpam-6835	421	6	,	,	PUNCT
ejpam-6835	421	7	0.3	0.3	NUM
ejpam-6835	421	8	)	)	PUNCT
ejpam-6835	421	9	,	,	PUNCT
ejpam-6835	421	10	k4	k4	NOUN
ejpam-6835	421	11	=	=	NOUN
ejpam-6835	421	12	0	0	NUM
ejpam-6835	421	13	.	.	PUNCT
ejpam-6835	422	1	hence	hence	ADV
ejpam-6835	422	2	the	the	DET
ejpam-6835	422	3	sampled	sample	VERB
ejpam-6835	422	4	hyperedge	hyperedge	NOUN
ejpam-6835	422	5	set	set	NOUN
ejpam-6835	422	6	is	be	AUX
ejpam-6835	422	7	e	e	NOUN
ejpam-6835	422	8	=	=	PUNCT
ejpam-6835	422	9	{	{	PUNCT
ejpam-6835	422	10	e1	e1	PROPN
ejpam-6835	422	11	,	,	PUNCT
ejpam-6835	422	12	e2	e2	PROPN
ejpam-6835	422	13	,	,	PUNCT
ejpam-6835	422	14	e3	e3	NOUN
ejpam-6835	422	15	,	,	PUNCT
ejpam-6835	422	16	e4	e4	PROPN
ejpam-6835	422	17	}	}	PUNCT
ejpam-6835	422	18	,	,	PUNCT
ejpam-6835	422	19	and	and	CCONJ
ejpam-6835	422	20	we	we	PRON
ejpam-6835	422	21	obtain	obtain	VERB
ejpam-6835	422	22	suhg(1	suhg(1	PRON
ejpam-6835	422	23	)	)	PUNCT
ejpam-6835	423	1	=	=	PRON
ejpam-6835	423	2	(	(	PUNCT
ejpam-6835	423	3	v	v	NOUN
ejpam-6835	423	4	(	(	PUNCT
ejpam-6835	423	5	1	1	NUM
ejpam-6835	423	6	)	)	PUNCT
ejpam-6835	423	7	,	,	PUNCT
ejpam-6835	423	8	e	e	NOUN
ejpam-6835	423	9	)	)	PUNCT
ejpam-6835	423	10	.	.	PUNCT
ejpam-6835	424	1	this	this	DET
ejpam-6835	424	2	concrete	concrete	ADJ
ejpam-6835	424	3	run	run	NOUN
ejpam-6835	424	4	demonstrates	demonstrate	VERB
ejpam-6835	424	5	how	how	SCONJ
ejpam-6835	424	6	size	size	NOUN
ejpam-6835	424	7	-	-	PUNCT
ejpam-6835	424	8	sampling	sampling	NOUN
ejpam-6835	424	9	generates	generate	VERB
ejpam-6835	424	10	a	a	DET
ejpam-6835	424	11	random	random	ADJ
ejpam-6835	424	12	superhypergraph	superhypergraph	NOUN
ejpam-6835	424	13	by	by	ADP
ejpam-6835	424	14	drawing	draw	VERB
ejpam-6835	424	15	only	only	ADV
ejpam-6835	424	16	1	1	NUM
ejpam-6835	424	17	+	+	SYM
ejpam-6835	424	18	2	2	NUM
ejpam-6835	424	19	+	+	SYM
ejpam-6835	424	20	1	1	NUM
ejpam-6835	424	21	+	+	NOUN
ejpam-6835	424	22	0	0	NUM
ejpam-6835	424	23	=	=	SYM
ejpam-6835	424	24	4	4	NUM
ejpam-6835	424	25	hyperedges	hyperedge	NOUN
ejpam-6835	424	26	,	,	PUNCT
ejpam-6835	424	27	rather	rather	ADV
ejpam-6835	424	28	than	than	ADP
ejpam-6835	424	29	enumerating	enumerate	VERB
ejpam-6835	424	30	all	all	DET
ejpam-6835	424	31	24−1	24−1	NUM
ejpam-6835	424	32	=	=	SYM
ejpam-6835	424	33	15	15	NUM
ejpam-6835	424	34	possible	possible	ADJ
ejpam-6835	424	35	subsets	subset	NOUN
ejpam-6835	424	36	of	of	ADP
ejpam-6835	424	37	v	v	NOUN
ejpam-6835	424	38	(	(	PUNCT
ejpam-6835	424	39	1	1	NUM
ejpam-6835	424	40	)	)	PUNCT
ejpam-6835	424	41	.	.	PUNCT
ejpam-6835	425	1	theorem	theorem	ADJ
ejpam-6835	425	2	17	17	NUM
ejpam-6835	425	3	(	(	PUNCT
ejpam-6835	425	4	correctness	correctness	NOUN
ejpam-6835	425	5	of	of	ADP
ejpam-6835	425	6	size	size	NOUN
ejpam-6835	425	7	-	-	PUNCT
ejpam-6835	425	8	sampling	sample	VERB
ejpam-6835	425	9	algorithm	algorithm	NOUN
ejpam-6835	425	10	)	)	PUNCT
ejpam-6835	425	11	.	.	PUNCT
ejpam-6835	426	1	algorithm	algorithm	NOUN
ejpam-6835	426	2	2	2	NUM
ejpam-6835	426	3	produces	produce	VERB
ejpam-6835	426	4	a	a	DET
ejpam-6835	426	5	random	random	ADJ
ejpam-6835	426	6	n	n	CCONJ
ejpam-6835	426	7	-	-	PUNCT
ejpam-6835	426	8	superhypergraph	superhypergraph	NOUN
ejpam-6835	426	9	with	with	ADP
ejpam-6835	426	10	the	the	DET
ejpam-6835	426	11	same	same	ADJ
ejpam-6835	426	12	law	law	NOUN
ejpam-6835	426	13	as	as	ADP
ejpam-6835	426	14	suhg(n)(v0	suhg(n)(v0	VERB
ejpam-6835	426	15	,	,	PUNCT
ejpam-6835	426	16	p	p	NOUN
ejpam-6835	426	17	)	)	PUNCT
ejpam-6835	426	18	.	.	PUNCT
ejpam-6835	427	1	in	in	ADP
ejpam-6835	427	2	particular	particular	ADJ
ejpam-6835	427	3	,	,	PUNCT
ejpam-6835	427	4	each	each	DET
ejpam-6835	427	5	potential	potential	ADJ
ejpam-6835	427	6	s	s	NOUN
ejpam-6835	427	7	-	-	PUNCT
ejpam-6835	427	8	hyperedge	hyperedge	NOUN
ejpam-6835	427	9	e	e	NOUN
ejpam-6835	427	10	⊆	⊆	NUM
ejpam-6835	427	11	v	v	NOUN
ejpam-6835	427	12	(	(	PUNCT
ejpam-6835	427	13	n	n	CCONJ
ejpam-6835	427	14	)	)	PUNCT
ejpam-6835	427	15	,	,	PUNCT
ejpam-6835	427	16	|e|	|e|	PROPN
ejpam-6835	427	17	=	=	SYM
ejpam-6835	427	18	s	s	PROPN
ejpam-6835	427	19	,	,	PUNCT
ejpam-6835	427	20	is	be	AUX
ejpam-6835	427	21	included	include	VERB
ejpam-6835	427	22	independently	independently	ADV
ejpam-6835	427	23	with	with	ADP
ejpam-6835	427	24	probability	probability	NOUN
ejpam-6835	427	25	p.	p.	PROPN
ejpam-6835	427	26	t.	t.	PROPN
ejpam-6835	427	27	fujita	fujita	PROPN
ejpam-6835	427	28	,	,	PUNCT
ejpam-6835	427	29	f.	f.	PROPN
ejpam-6835	427	30	smarandache	smarandache	PROPN
ejpam-6835	427	31	/	/	SYM
ejpam-6835	427	32	eur	eur	PROPN
ejpam-6835	427	33	.	.	PUNCT
ejpam-6835	428	1	j.	j.	PROPN
ejpam-6835	428	2	pure	pure	PROPN
ejpam-6835	428	3	appl	appl	PROPN
ejpam-6835	428	4	.	.	PROPN
ejpam-6835	428	5	math	math	PROPN
ejpam-6835	428	6	,	,	PUNCT
ejpam-6835	428	7	18	18	NUM
ejpam-6835	428	8	(	(	PUNCT
ejpam-6835	428	9	4	4	NUM
ejpam-6835	428	10	)	)	PUNCT
ejpam-6835	428	11	(	(	PUNCT
ejpam-6835	428	12	2025	2025	NUM
ejpam-6835	428	13	)	)	PUNCT
ejpam-6835	428	14	,	,	PUNCT
ejpam-6835	428	15	6835	6835	NUM
ejpam-6835	428	16	20	20	NUM
ejpam-6835	428	17	of	of	ADP
ejpam-6835	428	18	29	29	NUM
ejpam-6835	428	19	proof	proof	NOUN
ejpam-6835	428	20	.	.	PUNCT
ejpam-6835	429	1	fix	fix	VERB
ejpam-6835	429	2	s	s	X
ejpam-6835	429	3	∈	∈	NOUN
ejpam-6835	429	4	{	{	PUNCT
ejpam-6835	429	5	1	1	NUM
ejpam-6835	429	6	,	,	PUNCT
ejpam-6835	429	7	.	.	PUNCT
ejpam-6835	429	8	.	.	PUNCT
ejpam-6835	430	1	.	.	PUNCT
ejpam-6835	431	1	,	,	PUNCT
ejpam-6835	431	2	m	m	VERB
ejpam-6835	431	3	}	}	PUNCT
ejpam-6835	431	4	and	and	CCONJ
ejpam-6835	431	5	write	write	VERB
ejpam-6835	431	6	ms	ms	PROPN
ejpam-6835	431	7	=	=	PUNCT
ejpam-6835	431	8	(	(	PUNCT
ejpam-6835	431	9	m	m	PROPN
ejpam-6835	431	10	s	s	PART
ejpam-6835	431	11	)	)	PUNCT
ejpam-6835	431	12	.	.	PUNCT
ejpam-6835	432	1	let	let	VERB
ejpam-6835	432	2	es	es	X
ejpam-6835	432	3	be	be	AUX
ejpam-6835	432	4	the	the	DET
ejpam-6835	432	5	collection	collection	NOUN
ejpam-6835	432	6	of	of	ADP
ejpam-6835	432	7	all	all	DET
ejpam-6835	432	8	s	s	NOUN
ejpam-6835	432	9	-	-	PUNCT
ejpam-6835	432	10	subsets	subset	NOUN
ejpam-6835	432	11	of	of	ADP
ejpam-6835	432	12	v	v	NOUN
ejpam-6835	432	13	(	(	PUNCT
ejpam-6835	432	14	n	n	CCONJ
ejpam-6835	432	15	)	)	PUNCT
ejpam-6835	432	16	.	.	PUNCT
ejpam-6835	433	1	the	the	DET
ejpam-6835	433	2	algorithm	algorithm	NOUN
ejpam-6835	433	3	first	first	ADV
ejpam-6835	433	4	draws	draw	VERB
ejpam-6835	433	5	ks	ks	NOUN
ejpam-6835	433	6	∼	∼	NOUN
ejpam-6835	433	7	binomial(ms	binomial(ms	ADJ
ejpam-6835	433	8	,	,	PUNCT
ejpam-6835	433	9	p	p	NOUN
ejpam-6835	433	10	)	)	PUNCT
ejpam-6835	433	11	,	,	PUNCT
ejpam-6835	433	12	so	so	ADV
ejpam-6835	434	1	pr(ks	pr(ks	PROPN
ejpam-6835	434	2	=	=	SYM
ejpam-6835	434	3	k	k	X
ejpam-6835	434	4	)	)	PUNCT
ejpam-6835	434	5	=	=	PUNCT
ejpam-6835	435	1	(	(	PUNCT
ejpam-6835	435	2	ms	ms	PROPN
ejpam-6835	435	3	k	k	PROPN
ejpam-6835	435	4	)	)	PUNCT
ejpam-6835	435	5	pk(1−	pk(1−	ADJ
ejpam-6835	435	6	p)ms−k	p)ms−k	ADV
ejpam-6835	435	7	.	.	PUNCT
ejpam-6835	436	1	conditioned	condition	VERB
ejpam-6835	436	2	on	on	ADP
ejpam-6835	436	3	ks	ks	X
ejpam-6835	436	4	=	=	SYM
ejpam-6835	436	5	k	k	PROPN
ejpam-6835	436	6	,	,	PUNCT
ejpam-6835	436	7	it	it	PRON
ejpam-6835	436	8	chooses	choose	VERB
ejpam-6835	436	9	uniformly	uniformly	ADV
ejpam-6835	436	10	k	k	X
ejpam-6835	436	11	distinct	distinct	ADJ
ejpam-6835	436	12	subsets	subset	NOUN
ejpam-6835	436	13	from	from	ADP
ejpam-6835	436	14	es	es	NOUN
ejpam-6835	436	15	.	.	PUNCT
ejpam-6835	437	1	therefore	therefore	ADV
ejpam-6835	437	2	for	for	ADP
ejpam-6835	437	3	any	any	DET
ejpam-6835	437	4	fixed	fix	VERB
ejpam-6835	437	5	e	e	NOUN
ejpam-6835	437	6	∈	∈	NOUN
ejpam-6835	437	7	es	es	NOUN
ejpam-6835	437	8	,	,	PUNCT
ejpam-6835	437	9	pr	pr	X
ejpam-6835	437	10	(	(	PUNCT
ejpam-6835	437	11	e	e	X
ejpam-6835	437	12	∈	∈	PROPN
ejpam-6835	437	13	e	e	NOUN
ejpam-6835	437	14	|	|	ADV
ejpam-6835	437	15	ks	ks	PROPN
ejpam-6835	437	16	=	=	SYM
ejpam-6835	437	17	k	k	PROPN
ejpam-6835	437	18	)	)	PUNCT
ejpam-6835	438	1	=	=	PUNCT
ejpam-6835	438	2	(	(	PUNCT
ejpam-6835	438	3	ms−1	ms−1	PROPN
ejpam-6835	438	4	k−1	k−1	PROPN
ejpam-6835	438	5	)	)	PUNCT
ejpam-6835	438	6	(	(	PUNCT
ejpam-6835	438	7	ms	ms	PROPN
ejpam-6835	438	8	k	k	PROPN
ejpam-6835	438	9	)	)	PUNCT
ejpam-6835	439	1	=	=	PUNCT
ejpam-6835	440	1	k	k	PROPN
ejpam-6835	440	2	ms	ms	PROPN
ejpam-6835	440	3	.	.	PUNCT
ejpam-6835	441	1	hence	hence	ADV
ejpam-6835	441	2	marginally	marginally	ADV
ejpam-6835	441	3	pr(e	pr(e	PRON
ejpam-6835	441	4	∈	∈	PROPN
ejpam-6835	441	5	e	e	X
ejpam-6835	441	6	)	)	PUNCT
ejpam-6835	441	7	=	=	SYM
ejpam-6835	441	8	ms∑	ms∑	X
ejpam-6835	441	9	k=1	k=1	X
ejpam-6835	441	10	pr(ks	pr(ks	PROPN
ejpam-6835	442	1	=	=	PUNCT
ejpam-6835	442	2	k	k	X
ejpam-6835	442	3	)	)	PUNCT
ejpam-6835	443	1	k	k	PROPN
ejpam-6835	443	2	ms	ms	PROPN
ejpam-6835	443	3	=	=	PROPN
ejpam-6835	443	4	1	1	NUM
ejpam-6835	443	5	ms	ms	PROPN
ejpam-6835	443	6	ms∑	ms∑	PROPN
ejpam-6835	443	7	k=1	k=1	PROPN
ejpam-6835	444	1	k	k	PROPN
ejpam-6835	444	2	(	(	PUNCT
ejpam-6835	444	3	ms	ms	PROPN
ejpam-6835	444	4	k	k	PROPN
ejpam-6835	444	5	)	)	PUNCT
ejpam-6835	444	6	pk(1−	pk(1−	ADJ
ejpam-6835	444	7	p)ms−k	p)ms−k	ADV
ejpam-6835	444	8	=	=	SYM
ejpam-6835	444	9	ms	ms	PROPN
ejpam-6835	444	10	p	p	PROPN
ejpam-6835	444	11	ms	ms	PROPN
ejpam-6835	444	12	=	=	PROPN
ejpam-6835	444	13	p.	p.	NOUN
ejpam-6835	444	14	moreover	moreover	ADV
ejpam-6835	444	15	,	,	PUNCT
ejpam-6835	444	16	for	for	ADP
ejpam-6835	444	17	any	any	DET
ejpam-6835	444	18	set	set	NOUN
ejpam-6835	444	19	s	s	NOUN
ejpam-6835	444	20	⊆	⊆	NUM
ejpam-6835	444	21	es	es	NOUN
ejpam-6835	444	22	of	of	ADP
ejpam-6835	444	23	size	size	NOUN
ejpam-6835	444	24	m	m	PROPN
ejpam-6835	444	25	,	,	PUNCT
ejpam-6835	444	26	pr	pr	X
ejpam-6835	444	27	(	(	PUNCT
ejpam-6835	444	28	s	s	NOUN
ejpam-6835	444	29	⊆	⊆	NUM
ejpam-6835	444	30	e	e	NOUN
ejpam-6835	444	31	,	,	PUNCT
ejpam-6835	444	32	es	es	ADP
ejpam-6835	444	33	\	\	PROPN
ejpam-6835	444	34	s	s	PART
ejpam-6835	444	35	∩	∩	NOUN
ejpam-6835	444	36	e	e	NOUN
ejpam-6835	444	37	=	=	NOUN
ejpam-6835	444	38	∅	∅	NOUN
ejpam-6835	444	39	)	)	PUNCT
ejpam-6835	444	40	=	=	SYM
ejpam-6835	445	1	(	(	PUNCT
ejpam-6835	445	2	ms	ms	NOUN
ejpam-6835	445	3	m	m	PROPN
ejpam-6835	445	4	)	)	PUNCT
ejpam-6835	445	5	pm(1−	pm(1−	PROPN
ejpam-6835	445	6	p)ms−m	p)ms−m	NOUN
ejpam-6835	445	7	1	1	NUM
ejpam-6835	445	8	(	(	PUNCT
ejpam-6835	445	9	ms	ms	NOUN
ejpam-6835	445	10	m	m	PROPN
ejpam-6835	445	11	)	)	PUNCT
ejpam-6835	445	12	=	=	PUNCT
ejpam-6835	445	13	pm(1−	pm(1−	PROPN
ejpam-6835	445	14	p)ms−m	p)ms−m	NOUN
ejpam-6835	445	15	,	,	PUNCT
ejpam-6835	445	16	which	which	PRON
ejpam-6835	445	17	matches	match	VERB
ejpam-6835	445	18	the	the	DET
ejpam-6835	445	19	product	product	NOUN
ejpam-6835	445	20	measure	measure	NOUN
ejpam-6835	445	21	of	of	ADP
ejpam-6835	445	22	independent	independent	ADJ
ejpam-6835	445	23	bernoulli(p	bernoulli(p	NOUN
ejpam-6835	445	24	)	)	PUNCT
ejpam-6835	445	25	trials	trial	NOUN
ejpam-6835	445	26	on	on	ADP
ejpam-6835	445	27	es	es	NOUN
ejpam-6835	445	28	.	.	PUNCT
ejpam-6835	445	29	repeating	repeat	VERB
ejpam-6835	445	30	across	across	ADP
ejpam-6835	445	31	all	all	DET
ejpam-6835	445	32	sizes	size	NOUN
ejpam-6835	445	33	s	s	PART
ejpam-6835	445	34	shows	show	NOUN
ejpam-6835	445	35	that	that	SCONJ
ejpam-6835	445	36	every	every	DET
ejpam-6835	445	37	potential	potential	ADJ
ejpam-6835	445	38	hyperedge	hyperedge	NOUN
ejpam-6835	445	39	is	be	AUX
ejpam-6835	445	40	included	include	VERB
ejpam-6835	445	41	independently	independently	ADV
ejpam-6835	445	42	with	with	ADP
ejpam-6835	445	43	probability	probability	NOUN
ejpam-6835	445	44	p.	p.	NOUN
ejpam-6835	445	45	thus	thus	ADV
ejpam-6835	445	46	the	the	DET
ejpam-6835	445	47	algorithm	algorithm	NOUN
ejpam-6835	445	48	exactly	exactly	ADV
ejpam-6835	445	49	recovers	recover	VERB
ejpam-6835	445	50	the	the	DET
ejpam-6835	445	51	distribution	distribution	NOUN
ejpam-6835	445	52	of	of	ADP
ejpam-6835	445	53	suhg(n)(v0	suhg(n)(v0	ADJ
ejpam-6835	445	54	,	,	PUNCT
ejpam-6835	445	55	p	p	NOUN
ejpam-6835	445	56	)	)	PUNCT
ejpam-6835	445	57	.	.	PUNCT
ejpam-6835	446	1	theorem	theorem	ADJ
ejpam-6835	446	2	18	18	NUM
ejpam-6835	446	3	(	(	PUNCT
ejpam-6835	446	4	time	time	NOUN
ejpam-6835	446	5	and	and	CCONJ
ejpam-6835	446	6	space	space	NOUN
ejpam-6835	446	7	complexity	complexity	NOUN
ejpam-6835	446	8	)	)	PUNCT
ejpam-6835	446	9	.	.	PUNCT
ejpam-6835	447	1	let	let	VERB
ejpam-6835	447	2	m	m	VERB
ejpam-6835	447	3	=	=	VERB
ejpam-6835	447	4	|v	|v	X
ejpam-6835	447	5	(	(	PUNCT
ejpam-6835	447	6	n)|	n)|	NOUN
ejpam-6835	447	7	and	and	CCONJ
ejpam-6835	447	8	ms	ms	NOUN
ejpam-6835	447	9	=	=	PROPN
ejpam-6835	447	10	(	(	PUNCT
ejpam-6835	447	11	m	m	PROPN
ejpam-6835	447	12	s	s	PART
ejpam-6835	447	13	)	)	PUNCT
ejpam-6835	447	14	.	.	PUNCT
ejpam-6835	448	1	assume	assume	VERB
ejpam-6835	448	2	that	that	SCONJ
ejpam-6835	448	3	sampling	sample	VERB
ejpam-6835	448	4	one	one	NUM
ejpam-6835	448	5	s	s	NOUN
ejpam-6835	448	6	-	-	PUNCT
ejpam-6835	448	7	subset	subset	VERB
ejpam-6835	448	8	uniformly	uniformly	ADV
ejpam-6835	448	9	at	at	ADP
ejpam-6835	448	10	random	random	ADJ
ejpam-6835	448	11	(	(	PUNCT
ejpam-6835	448	12	without	without	ADP
ejpam-6835	448	13	full	full	ADJ
ejpam-6835	448	14	enumeration	enumeration	NOUN
ejpam-6835	448	15	)	)	PUNCT
ejpam-6835	448	16	takes	take	VERB
ejpam-6835	448	17	o(s	o(s	NOUN
ejpam-6835	448	18	)	)	PUNCT
ejpam-6835	448	19	time	time	NOUN
ejpam-6835	448	20	.	.	PUNCT
ejpam-6835	449	1	then	then	ADV
ejpam-6835	449	2	algorithm	algorithm	NOUN
ejpam-6835	449	3	2	2	NUM
ejpam-6835	449	4	runs	run	NOUN
ejpam-6835	449	5	in	in	ADP
ejpam-6835	449	6	o	o	PROPN
ejpam-6835	449	7	(	(	PUNCT
ejpam-6835	449	8	m∑	m∑	INTJ
ejpam-6835	449	9	s=1	s=1	PRON
ejpam-6835	449	10	(	(	PUNCT
ejpam-6835	449	11	tbinom(ms	tbinom(ms	INTJ
ejpam-6835	449	12	,	,	PUNCT
ejpam-6835	449	13	p	p	NOUN
ejpam-6835	449	14	)	)	PUNCT
ejpam-6835	450	1	+	+	CCONJ
ejpam-6835	450	2	ks	ks	PROPN
ejpam-6835	450	3	·	·	PUNCT
ejpam-6835	450	4	s	s	PART
ejpam-6835	450	5	)	)	PUNCT
ejpam-6835	450	6	)	)	PUNCT
ejpam-6835	451	1	,	,	PUNCT
ejpam-6835	451	2	where	where	SCONJ
ejpam-6835	451	3	tbinom(ms	tbinom(ms	NOUN
ejpam-6835	451	4	,	,	PUNCT
ejpam-6835	451	5	p	p	NOUN
ejpam-6835	451	6	)	)	PUNCT
ejpam-6835	451	7	is	be	AUX
ejpam-6835	451	8	the	the	DET
ejpam-6835	451	9	cost	cost	NOUN
ejpam-6835	451	10	of	of	ADP
ejpam-6835	451	11	drawing	draw	VERB
ejpam-6835	451	12	a	a	DET
ejpam-6835	451	13	binomial(ms	binomial(ms	ADJ
ejpam-6835	451	14	,	,	PUNCT
ejpam-6835	451	15	p	p	NOUN
ejpam-6835	451	16	)	)	PUNCT
ejpam-6835	451	17	variate	variate	NOUN
ejpam-6835	451	18	and	and	CCONJ
ejpam-6835	451	19	ks	ks	PROPN
ejpam-6835	451	20	is	be	AUX
ejpam-6835	451	21	its	its	PRON
ejpam-6835	451	22	realized	realize	VERB
ejpam-6835	451	23	value	value	NOUN
ejpam-6835	451	24	.	.	PUNCT
ejpam-6835	452	1	in	in	ADP
ejpam-6835	452	2	expectation	expectation	NOUN
ejpam-6835	452	3	,	,	PUNCT
ejpam-6835	452	4	e	e	X
ejpam-6835	452	5	[	[	PUNCT
ejpam-6835	452	6	time	time	NOUN
ejpam-6835	452	7	]	]	X
ejpam-6835	452	8	t.	t.	PROPN
ejpam-6835	452	9	fujita	fujita	PROPN
ejpam-6835	452	10	,	,	PUNCT
ejpam-6835	452	11	f.	f.	PROPN
ejpam-6835	452	12	smarandache	smarandache	PROPN
ejpam-6835	452	13	/	/	SYM
ejpam-6835	452	14	eur	eur	PROPN
ejpam-6835	452	15	.	.	PUNCT
ejpam-6835	453	1	j.	j.	PROPN
ejpam-6835	453	2	pure	pure	PROPN
ejpam-6835	453	3	appl	appl	PROPN
ejpam-6835	453	4	.	.	PROPN
ejpam-6835	453	5	math	math	PROPN
ejpam-6835	453	6	,	,	PUNCT
ejpam-6835	453	7	18	18	NUM
ejpam-6835	453	8	(	(	PUNCT
ejpam-6835	453	9	4	4	NUM
ejpam-6835	453	10	)	)	PUNCT
ejpam-6835	453	11	(	(	PUNCT
ejpam-6835	453	12	2025	2025	NUM
ejpam-6835	453	13	)	)	PUNCT
ejpam-6835	453	14	,	,	PUNCT
ejpam-6835	453	15	6835	6835	NUM
ejpam-6835	453	16	21	21	NUM
ejpam-6835	453	17	of	of	ADP
ejpam-6835	453	18	29	29	NUM
ejpam-6835	453	19	=	=	SYM
ejpam-6835	453	20	o	o	NOUN
ejpam-6835	453	21	(	(	PUNCT
ejpam-6835	453	22	m∑	m∑	INTJ
ejpam-6835	453	23	s=1	s=1	INTJ
ejpam-6835	453	24	(	(	PUNCT
ejpam-6835	453	25	polylog(ms	polylog(ms	ADJ
ejpam-6835	453	26	)	)	PUNCT
ejpam-6835	453	27	+	+	CCONJ
ejpam-6835	453	28	pms	pms	PROPN
ejpam-6835	453	29	s	s	PART
ejpam-6835	453	30	)	)	PUNCT
ejpam-6835	453	31	)	)	PUNCT
ejpam-6835	453	32	.	.	PUNCT
ejpam-6835	454	1	space	space	NOUN
ejpam-6835	454	2	usage	usage	NOUN
ejpam-6835	454	3	is	be	AUX
ejpam-6835	454	4	o	o	NOUN
ejpam-6835	454	5	(	(	PUNCT
ejpam-6835	454	6	m	m	VERB
ejpam-6835	454	7	+	+	ADJ
ejpam-6835	454	8	m∑	m∑	NOUN
ejpam-6835	454	9	s=1	s=1	X
ejpam-6835	454	10	ks	ks	NOUN
ejpam-6835	454	11	·	·	PUNCT
ejpam-6835	454	12	s	s	PART
ejpam-6835	454	13	)	)	PUNCT
ejpam-6835	454	14	,	,	PUNCT
ejpam-6835	454	15	i.e.	i.e.	X
ejpam-6835	454	16	o(m	o(m	PROPN
ejpam-6835	454	17	+	+	CCONJ
ejpam-6835	454	18	|e|	|e|	ADJ
ejpam-6835	454	19	)	)	PUNCT
ejpam-6835	454	20	.	.	PUNCT
ejpam-6835	455	1	proof	proof	NOUN
ejpam-6835	455	2	.	.	PUNCT
ejpam-6835	456	1	time	time	NOUN
ejpam-6835	456	2	.	.	PUNCT
ejpam-6835	457	1	computing	compute	VERB
ejpam-6835	457	2	v	v	ADP
ejpam-6835	457	3	(	(	PUNCT
ejpam-6835	457	4	n	n	CCONJ
ejpam-6835	457	5	)	)	PUNCT
ejpam-6835	457	6	costs	cost	VERB
ejpam-6835	457	7	o(m	o(m	PROPN
ejpam-6835	457	8	logm	logm	PROPN
ejpam-6835	457	9	)	)	PUNCT
ejpam-6835	457	10	by	by	ADP
ejpam-6835	457	11	theorem	theorem	NOUN
ejpam-6835	457	12	15	15	NUM
ejpam-6835	457	13	.	.	PUNCT
ejpam-6835	458	1	for	for	ADP
ejpam-6835	458	2	each	each	DET
ejpam-6835	458	3	s	s	NOUN
ejpam-6835	458	4	,	,	PUNCT
ejpam-6835	458	5	drawing	draw	VERB
ejpam-6835	458	6	ks	ks	NOUN
ejpam-6835	458	7	∼	∼	NOUN
ejpam-6835	458	8	binomial(ms	binomial(ms	ADJ
ejpam-6835	458	9	,	,	PUNCT
ejpam-6835	458	10	p	p	NOUN
ejpam-6835	458	11	)	)	PUNCT
ejpam-6835	458	12	takes	take	VERB
ejpam-6835	458	13	tbinom(ms	tbinom(ms	NOUN
ejpam-6835	458	14	,	,	PUNCT
ejpam-6835	458	15	p	p	NOUN
ejpam-6835	458	16	)	)	PUNCT
ejpam-6835	458	17	time	time	NOUN
ejpam-6835	458	18	(	(	PUNCT
ejpam-6835	458	19	e.g.	e.g.	ADV
ejpam-6835	458	20	o(logms	o(logm	NOUN
ejpam-6835	458	21	)	)	PUNCT
ejpam-6835	458	22	with	with	ADP
ejpam-6835	458	23	acceptance	acceptance	NOUN
ejpam-6835	458	24	–	–	PUNCT
ejpam-6835	458	25	rejection	rejection	NOUN
ejpam-6835	458	26	)	)	PUNCT
ejpam-6835	458	27	.	.	PUNCT
ejpam-6835	459	1	sampling	sample	VERB
ejpam-6835	459	2	ks	ks	PROPN
ejpam-6835	459	3	distinct	distinct	PROPN
ejpam-6835	459	4	s	s	NOUN
ejpam-6835	459	5	-	-	PUNCT
ejpam-6835	459	6	subsets	subset	NOUN
ejpam-6835	459	7	costs	cost	VERB
ejpam-6835	459	8	o(ks	o(ks	PROPN
ejpam-6835	459	9	·	·	PUNCT
ejpam-6835	459	10	s	s	X
ejpam-6835	459	11	)	)	PUNCT
ejpam-6835	459	12	if	if	SCONJ
ejpam-6835	459	13	each	each	PRON
ejpam-6835	459	14	unranked	unranke	VERB
ejpam-6835	459	15	in	in	ADP
ejpam-6835	459	16	o(s	o(s	PROPN
ejpam-6835	459	17	)	)	PUNCT
ejpam-6835	459	18	time	time	NOUN
ejpam-6835	459	19	.	.	PUNCT
ejpam-6835	460	1	summing	sum	VERB
ejpam-6835	460	2	yields	yield	NOUN
ejpam-6835	460	3	the	the	DET
ejpam-6835	460	4	stated	state	VERB
ejpam-6835	460	5	bound	bind	VERB
ejpam-6835	460	6	.	.	PUNCT
ejpam-6835	461	1	in	in	ADP
ejpam-6835	461	2	expectation	expectation	NOUN
ejpam-6835	461	3	,	,	PUNCT
ejpam-6835	461	4	e[ks	e[ks	NOUN
ejpam-6835	461	5	]	]	X
ejpam-6835	461	6	=	=	SYM
ejpam-6835	461	7	pms	pm	NOUN
ejpam-6835	461	8	,	,	PUNCT
ejpam-6835	461	9	giving	give	VERB
ejpam-6835	461	10	the	the	DET
ejpam-6835	461	11	second	second	ADJ
ejpam-6835	461	12	formula	formula	NOUN
ejpam-6835	461	13	.	.	PUNCT
ejpam-6835	462	1	space	space	NOUN
ejpam-6835	462	2	.	.	PUNCT
ejpam-6835	463	1	storing	store	VERB
ejpam-6835	463	2	v	v	NOUN
ejpam-6835	463	3	(	(	PUNCT
ejpam-6835	463	4	n	n	CCONJ
ejpam-6835	463	5	)	)	PUNCT
ejpam-6835	463	6	uses	use	VERB
ejpam-6835	463	7	o(m	o(m	PROPN
ejpam-6835	463	8	logm	logm	PROPN
ejpam-6835	463	9	)	)	PUNCT
ejpam-6835	463	10	bits	bit	NOUN
ejpam-6835	463	11	.	.	PUNCT
ejpam-6835	464	1	the	the	DET
ejpam-6835	464	2	edge	edge	NOUN
ejpam-6835	464	3	set	set	NOUN
ejpam-6835	464	4	e	e	NOUN
ejpam-6835	464	5	requires	require	VERB
ejpam-6835	464	6	space	space	NOUN
ejpam-6835	464	7	proportional	proportional	NOUN
ejpam-6835	464	8	to	to	ADP
ejpam-6835	464	9	the	the	DET
ejpam-6835	464	10	total	total	ADJ
ejpam-6835	464	11	size	size	NOUN
ejpam-6835	464	12	of	of	ADP
ejpam-6835	464	13	sampled	sample	VERB
ejpam-6835	464	14	hyperedges	hyperedge	NOUN
ejpam-6835	464	15	,	,	PUNCT
ejpam-6835	464	16	∑	∑	ADV
ejpam-6835	464	17	sks	sk	NOUN
ejpam-6835	464	18	·	·	PUNCT
ejpam-6835	464	19	s.	s.	PROPN
ejpam-6835	464	20	ignoring	ignore	VERB
ejpam-6835	464	21	logarithmic	logarithmic	ADJ
ejpam-6835	464	22	factors	factor	NOUN
ejpam-6835	464	23	,	,	PUNCT
ejpam-6835	464	24	total	total	ADJ
ejpam-6835	464	25	space	space	NOUN
ejpam-6835	464	26	is	be	AUX
ejpam-6835	464	27	o(m	o(m	PROPN
ejpam-6835	464	28	+	+	CCONJ
ejpam-6835	464	29	|e|	|e|	ADJ
ejpam-6835	464	30	)	)	PUNCT
ejpam-6835	464	31	.	.	PUNCT
ejpam-6835	465	1	5	5	X
ejpam-6835	465	2	.	.	X
ejpam-6835	465	3	conclusions	conclusion	NOUN
ejpam-6835	465	4	in	in	ADP
ejpam-6835	465	5	this	this	DET
ejpam-6835	465	6	paper	paper	NOUN
ejpam-6835	465	7	,	,	PUNCT
ejpam-6835	465	8	we	we	PRON
ejpam-6835	465	9	investigated	investigate	VERB
ejpam-6835	465	10	the	the	DET
ejpam-6835	465	11	notion	notion	NOUN
ejpam-6835	465	12	of	of	ADP
ejpam-6835	465	13	a	a	DET
ejpam-6835	465	14	random	random	ADJ
ejpam-6835	465	15	superhypergraph	superhypergraph	NOUN
ejpam-6835	465	16	and	and	CCONJ
ejpam-6835	465	17	provided	provide	VERB
ejpam-6835	465	18	a	a	DET
ejpam-6835	465	19	concise	concise	ADJ
ejpam-6835	465	20	mathematical	mathematical	ADJ
ejpam-6835	465	21	exploration	exploration	NOUN
ejpam-6835	465	22	of	of	ADP
ejpam-6835	465	23	its	its	PRON
ejpam-6835	465	24	structure	structure	NOUN
ejpam-6835	465	25	.	.	PUNCT
ejpam-6835	466	1	we	we	PRON
ejpam-6835	466	2	also	also	ADV
ejpam-6835	466	3	included	include	VERB
ejpam-6835	466	4	a	a	DET
ejpam-6835	466	5	brief	brief	ADJ
ejpam-6835	466	6	discussion	discussion	NOUN
ejpam-6835	466	7	of	of	ADP
ejpam-6835	466	8	the	the	DET
ejpam-6835	466	9	associated	associated	ADJ
ejpam-6835	466	10	algorithm	algorithm	NOUN
ejpam-6835	466	11	.	.	PUNCT
ejpam-6835	467	1	we	we	PRON
ejpam-6835	467	2	list	list	VERB
ejpam-6835	467	3	below	below	ADP
ejpam-6835	467	4	several	several	ADJ
ejpam-6835	467	5	scientific	scientific	ADJ
ejpam-6835	467	6	benefits	benefit	NOUN
ejpam-6835	467	7	of	of	ADP
ejpam-6835	467	8	random	random	ADJ
ejpam-6835	467	9	superhypergraphs	superhypergraph	NOUN
ejpam-6835	467	10	.	.	PUNCT
ejpam-6835	468	1	these	these	DET
ejpam-6835	468	2	points	point	NOUN
ejpam-6835	468	3	underscore	underscore	VERB
ejpam-6835	468	4	the	the	DET
ejpam-6835	468	5	potential	potential	ADJ
ejpam-6835	468	6	impact	impact	NOUN
ejpam-6835	468	7	of	of	ADP
ejpam-6835	468	8	this	this	DET
ejpam-6835	468	9	research	research	NOUN
ejpam-6835	468	10	in	in	ADP
ejpam-6835	468	11	areas	area	NOUN
ejpam-6835	468	12	such	such	ADJ
ejpam-6835	468	13	as	as	ADP
ejpam-6835	468	14	computer	computer	NOUN
ejpam-6835	468	15	science	science	NOUN
ejpam-6835	468	16	and	and	CCONJ
ejpam-6835	468	17	social	social	ADJ
ejpam-6835	468	18	systems	system	NOUN
ejpam-6835	468	19	.	.	PUNCT
ejpam-6835	469	1	•	•	NUM
ejpam-6835	469	2	unified	unify	VERB
ejpam-6835	469	3	framework	framework	NOUN
ejpam-6835	469	4	:	:	PUNCT
ejpam-6835	469	5	merges	merge	VERB
ejpam-6835	469	6	random	random	ADJ
ejpam-6835	469	7	graphs	graph	NOUN
ejpam-6835	469	8	and	and	CCONJ
ejpam-6835	469	9	hypergraphs	hypergraph	NOUN
ejpam-6835	469	10	into	into	ADP
ejpam-6835	469	11	one	one	NUM
ejpam-6835	469	12	probabilistic	probabilistic	ADJ
ejpam-6835	469	13	model	model	NOUN
ejpam-6835	469	14	.	.	PUNCT
ejpam-6835	470	1	•	•	NUM
ejpam-6835	470	2	hierarchical	hierarchical	ADJ
ejpam-6835	470	3	representation	representation	NOUN
ejpam-6835	470	4	:	:	PUNCT
ejpam-6835	470	5	encodes	encode	NOUN
ejpam-6835	470	6	multi	multi	ADJ
ejpam-6835	470	7	-	-	ADJ
ejpam-6835	470	8	level	level	ADJ
ejpam-6835	470	9	interactions	interaction	NOUN
ejpam-6835	470	10	via	via	ADP
ejpam-6835	470	11	nested	nested	ADJ
ejpam-6835	470	12	powerset	powerset	NOUN
ejpam-6835	470	13	layers	layer	NOUN
ejpam-6835	470	14	.	.	PUNCT
ejpam-6835	471	1	•	•	NUM
ejpam-6835	471	2	probabilistic	probabilistic	ADJ
ejpam-6835	471	3	insights	insight	NOUN
ejpam-6835	471	4	:	:	PUNCT
ejpam-6835	471	5	enables	enable	VERB
ejpam-6835	471	6	study	study	NOUN
ejpam-6835	471	7	of	of	ADP
ejpam-6835	471	8	phase	phase	NOUN
ejpam-6835	471	9	transitions	transition	NOUN
ejpam-6835	471	10	and	and	CCONJ
ejpam-6835	471	11	concentration	concentration	NOUN
ejpam-6835	471	12	in	in	ADP
ejpam-6835	471	13	layered	layered	ADJ
ejpam-6835	471	14	networks	network	NOUN
ejpam-6835	471	15	.	.	PUNCT
ejpam-6835	472	1	•	•	NUM
ejpam-6835	472	2	algorithmic	algorithmic	ADJ
ejpam-6835	472	3	foundations	foundation	NOUN
ejpam-6835	472	4	:	:	PUNCT
ejpam-6835	472	5	supports	support	VERB
ejpam-6835	472	6	development	development	NOUN
ejpam-6835	472	7	of	of	ADP
ejpam-6835	472	8	algorithms	algorithm	NOUN
ejpam-6835	472	9	for	for	ADP
ejpam-6835	472	10	complex	complex	ADJ
ejpam-6835	472	11	,	,	PUNCT
ejpam-6835	472	12	probabilistic	probabilistic	ADJ
ejpam-6835	472	13	hierarchies	hierarchy	NOUN
ejpam-6835	472	14	.	.	PUNCT
ejpam-6835	473	1	to	to	PART
ejpam-6835	473	2	capture	capture	VERB
ejpam-6835	473	3	richer	rich	ADJ
ejpam-6835	473	4	uncertainty	uncertainty	NOUN
ejpam-6835	473	5	in	in	ADP
ejpam-6835	473	6	random	random	ADJ
ejpam-6835	473	7	superhypergraphs	superhypergraph	NOUN
ejpam-6835	473	8	,	,	PUNCT
ejpam-6835	473	9	we	we	PRON
ejpam-6835	473	10	plan	plan	VERB
ejpam-6835	473	11	to	to	PART
ejpam-6835	473	12	integrate	integrate	VERB
ejpam-6835	473	13	fuzzy	fuzzy	ADV
ejpam-6835	473	14	-	-	PUNCT
ejpam-6835	473	15	based	base	VERB
ejpam-6835	473	16	frameworks	framework	NOUN
ejpam-6835	473	17	.	.	PUNCT
ejpam-6835	474	1	in	in	ADP
ejpam-6835	474	2	particular	particular	ADJ
ejpam-6835	474	3	,	,	PUNCT
ejpam-6835	474	4	we	we	PRON
ejpam-6835	474	5	will	will	AUX
ejpam-6835	474	6	extend	extend	VERB
ejpam-6835	474	7	the	the	DET
ejpam-6835	474	8	current	current	ADJ
ejpam-6835	474	9	model	model	NOUN
ejpam-6835	474	10	to	to	PART
ejpam-6835	474	11	encompass	encompass	VERB
ejpam-6835	474	12	fuzzy	fuzzy	ADJ
ejpam-6835	474	13	sets	set	NOUN
ejpam-6835	474	14	[	[	X
ejpam-6835	474	15	59	59	NUM
ejpam-6835	474	16	]	]	PUNCT
ejpam-6835	474	17	,	,	PUNCT
ejpam-6835	474	18	intuitionistic	intuitionistic	ADJ
ejpam-6835	474	19	fuzzy	fuzzy	ADJ
ejpam-6835	474	20	sets	set	NOUN
ejpam-6835	474	21	[	[	X
ejpam-6835	474	22	60	60	NUM
ejpam-6835	474	23	,	,	PUNCT
ejpam-6835	474	24	61	61	NUM
ejpam-6835	474	25	]	]	PUNCT
ejpam-6835	474	26	,	,	PUNCT
ejpam-6835	474	27	vague	vague	ADJ
ejpam-6835	474	28	sets	set	NOUN
ejpam-6835	474	29	[	[	X
ejpam-6835	474	30	62	62	NUM
ejpam-6835	474	31	]	]	PUNCT
ejpam-6835	474	32	,	,	PUNCT
ejpam-6835	474	33	hesitant	hesitant	ADJ
ejpam-6835	474	34	fuzzy	fuzzy	ADJ
ejpam-6835	474	35	sets	set	NOUN
ejpam-6835	474	36	[	[	X
ejpam-6835	474	37	63	63	NUM
ejpam-6835	474	38	,	,	PUNCT
ejpam-6835	474	39	64	64	NUM
ejpam-6835	474	40	]	]	PUNCT
ejpam-6835	474	41	,	,	PUNCT
ejpam-6835	474	42	hyperfuzzy	hyperfuzzy	PROPN
ejpam-6835	474	43	sets	set	VERB
ejpam-6835	474	44	[	[	X
ejpam-6835	474	45	65	65	NUM
ejpam-6835	474	46	,	,	PUNCT
ejpam-6835	474	47	66	66	NUM
ejpam-6835	474	48	]	]	PUNCT
ejpam-6835	474	49	,	,	PUNCT
ejpam-6835	474	50	picture	picture	NOUN
ejpam-6835	474	51	fuzzy	fuzzy	ADJ
ejpam-6835	474	52	sets	set	NOUN
ejpam-6835	474	53	[	[	X
ejpam-6835	474	54	67	67	NUM
ejpam-6835	474	55	,	,	PUNCT
ejpam-6835	474	56	68	68	NUM
ejpam-6835	474	57	]	]	PUNCT
ejpam-6835	474	58	,	,	PUNCT
ejpam-6835	474	59	pythagorean	pythagorean	PROPN
ejpam-6835	474	60	fuzzy	fuzzy	PROPN
ejpam-6835	474	61	set	set	VERB
ejpam-6835	474	62	[	[	X
ejpam-6835	474	63	69	69	NUM
ejpam-6835	474	64	,	,	PUNCT
ejpam-6835	474	65	70	70	NUM
ejpam-6835	474	66	]	]	PUNCT
ejpam-6835	474	67	,	,	PUNCT
ejpam-6835	474	68	neutrosophic	neutrosophic	ADJ
ejpam-6835	474	69	sets	set	NOUN
ejpam-6835	474	70	[	[	X
ejpam-6835	474	71	71	71	NUM
ejpam-6835	474	72	,	,	PUNCT
ejpam-6835	474	73	72	72	NUM
ejpam-6835	474	74	]	]	PUNCT
ejpam-6835	474	75	,	,	PUNCT
ejpam-6835	474	76	and	and	CCONJ
ejpam-6835	474	77	plithogenic	plithogenic	ADJ
ejpam-6835	474	78	sets	set	NOUN
ejpam-6835	474	79	[	[	X
ejpam-6835	474	80	27	27	NUM
ejpam-6835	474	81	,	,	PUNCT
ejpam-6835	474	82	73	73	NUM
ejpam-6835	474	83	,	,	PUNCT
ejpam-6835	474	84	74	74	NUM
ejpam-6835	474	85	]	]	PUNCT
ejpam-6835	474	86	.	.	PUNCT
ejpam-6835	475	1	we	we	PRON
ejpam-6835	475	2	will	will	AUX
ejpam-6835	475	3	also	also	ADV
ejpam-6835	475	4	develop	develop	VERB
ejpam-6835	475	5	directed[75	directed[75	ADJ
ejpam-6835	475	6	,	,	PUNCT
ejpam-6835	475	7	76	76	NUM
ejpam-6835	475	8	]	]	PUNCT
ejpam-6835	475	9	,	,	PUNCT
ejpam-6835	475	10	bidirected	bidirecte	VERB
ejpam-6835	475	11	[	[	X
ejpam-6835	475	12	77	77	NUM
ejpam-6835	475	13	,	,	PUNCT
ejpam-6835	475	14	78	78	NUM
ejpam-6835	475	15	]	]	PUNCT
ejpam-6835	475	16	,	,	PUNCT
ejpam-6835	475	17	and	and	CCONJ
ejpam-6835	475	18	multidirected	multidirecte	VERB
ejpam-6835	475	19	[	[	X
ejpam-6835	475	20	79	79	NUM
ejpam-6835	475	21	,	,	PUNCT
ejpam-6835	475	22	80	80	NUM
ejpam-6835	475	23	]	]	PUNCT
ejpam-6835	475	24	variants	variant	NOUN
ejpam-6835	475	25	,	,	PUNCT
ejpam-6835	475	26	as	as	ADV
ejpam-6835	475	27	well	well	ADV
ejpam-6835	475	28	as	as	ADP
ejpam-6835	475	29	t.	t.	PROPN
ejpam-6835	475	30	fujita	fujita	PROPN
ejpam-6835	475	31	,	,	PUNCT
ejpam-6835	475	32	f.	f.	PROPN
ejpam-6835	475	33	smarandache	smarandache	PROPN
ejpam-6835	475	34	/	/	SYM
ejpam-6835	475	35	eur	eur	PROPN
ejpam-6835	475	36	.	.	PUNCT
ejpam-6835	476	1	j.	j.	PROPN
ejpam-6835	476	2	pure	pure	PROPN
ejpam-6835	476	3	appl	appl	PROPN
ejpam-6835	476	4	.	.	PROPN
ejpam-6835	476	5	math	math	PROPN
ejpam-6835	476	6	,	,	PUNCT
ejpam-6835	476	7	18	18	NUM
ejpam-6835	476	8	(	(	PUNCT
ejpam-6835	476	9	4	4	NUM
ejpam-6835	476	10	)	)	PUNCT
ejpam-6835	476	11	(	(	PUNCT
ejpam-6835	476	12	2025	2025	NUM
ejpam-6835	476	13	)	)	PUNCT
ejpam-6835	476	14	,	,	PUNCT
ejpam-6835	476	15	6835	6835	NUM
ejpam-6835	476	16	22	22	NUM
ejpam-6835	476	17	of	of	ADP
ejpam-6835	476	18	29	29	NUM
ejpam-6835	476	19	hypergraph	hypergraph	NOUN
ejpam-6835	476	20	and	and	CCONJ
ejpam-6835	476	21	superhypergraph	superhypergraph	NOUN
ejpam-6835	476	22	analogues	analogue	NOUN
ejpam-6835	476	23	of	of	ADP
ejpam-6835	476	24	quasi	quasi	ADJ
ejpam-6835	476	25	-	-	ADJ
ejpam-6835	476	26	random	random	ADJ
ejpam-6835	476	27	graphs	graph	NOUN
ejpam-6835	476	28	[	[	X
ejpam-6835	476	29	81	81	NUM
ejpam-6835	476	30	,	,	PUNCT
ejpam-6835	476	31	82	82	NUM
ejpam-6835	476	32	]	]	PUNCT
ejpam-6835	476	33	and	and	CCONJ
ejpam-6835	476	34	semirandom	semirandom	PROPN
ejpam-6835	476	35	graphs	graph	NOUN
ejpam-6835	476	36	[	[	X
ejpam-6835	476	37	83	83	NUM
ejpam-6835	476	38	,	,	PUNCT
ejpam-6835	476	39	84	84	NUM
ejpam-6835	476	40	]	]	PUNCT
ejpam-6835	476	41	.	.	PUNCT
ejpam-6835	477	1	for	for	ADP
ejpam-6835	477	2	example	example	NOUN
ejpam-6835	477	3	,	,	PUNCT
ejpam-6835	477	4	regarding	regard	VERB
ejpam-6835	477	5	random	random	ADJ
ejpam-6835	477	6	superhypergraphs	superhypergraph	NOUN
ejpam-6835	477	7	,	,	PUNCT
ejpam-6835	477	8	we	we	PRON
ejpam-6835	477	9	expect	expect	VERB
ejpam-6835	477	10	future	future	ADJ
ejpam-6835	477	11	investigations	investigation	NOUN
ejpam-6835	477	12	to	to	PART
ejpam-6835	477	13	explore	explore	VERB
ejpam-6835	477	14	extensions	extension	NOUN
ejpam-6835	477	15	that	that	PRON
ejpam-6835	477	16	incorporate	incorporate	VERB
ejpam-6835	477	17	fuzzy	fuzzy	ADJ
ejpam-6835	477	18	random	random	ADJ
ejpam-6835	477	19	variables[85	variables[85	NOUN
ejpam-6835	477	20	,	,	PUNCT
ejpam-6835	477	21	86	86	NUM
ejpam-6835	477	22	]	]	PUNCT
ejpam-6835	477	23	,	,	PUNCT
ejpam-6835	477	24	neutrosophic	neutrosophic	ADJ
ejpam-6835	477	25	random	random	ADJ
ejpam-6835	477	26	variables[87–89	variables[87–89	NOUN
ejpam-6835	477	27	]	]	PUNCT
ejpam-6835	477	28	,	,	PUNCT
ejpam-6835	477	29	plithogenic	plithogenic	ADJ
ejpam-6835	477	30	random	random	ADJ
ejpam-6835	477	31	variables[90	variables[90	NOUN
ejpam-6835	477	32	,	,	PUNCT
ejpam-6835	477	33	91	91	NUM
ejpam-6835	477	34	]	]	PUNCT
ejpam-6835	477	35	,	,	PUNCT
ejpam-6835	477	36	and	and	CCONJ
ejpam-6835	477	37	related	related	ADJ
ejpam-6835	477	38	constructs	construct	NOUN
ejpam-6835	477	39	.	.	PUNCT
ejpam-6835	478	1	finally	finally	ADV
ejpam-6835	478	2	,	,	PUNCT
ejpam-6835	478	3	we	we	PRON
ejpam-6835	478	4	aim	aim	VERB
ejpam-6835	478	5	to	to	PART
ejpam-6835	478	6	validate	validate	VERB
ejpam-6835	478	7	and	and	CCONJ
ejpam-6835	478	8	refine	refine	VERB
ejpam-6835	478	9	these	these	DET
ejpam-6835	478	10	extensions	extension	NOUN
ejpam-6835	478	11	through	through	ADP
ejpam-6835	478	12	comprehensive	comprehensive	ADJ
ejpam-6835	478	13	computational	computational	ADJ
ejpam-6835	478	14	experiments	experiment	NOUN
ejpam-6835	478	15	.	.	PUNCT
ejpam-6835	479	1	acknowledgements	acknowledgement	NOUN
ejpam-6835	479	2	we	we	PRON
ejpam-6835	479	3	wish	wish	VERB
ejpam-6835	479	4	to	to	PART
ejpam-6835	479	5	thank	thank	VERB
ejpam-6835	479	6	everyone	everyone	PRON
ejpam-6835	479	7	whose	whose	DET
ejpam-6835	479	8	guidance	guidance	NOUN
ejpam-6835	479	9	,	,	PUNCT
ejpam-6835	479	10	ideas	idea	NOUN
ejpam-6835	479	11	,	,	PUNCT
ejpam-6835	479	12	and	and	CCONJ
ejpam-6835	479	13	assistance	assistance	NOUN
ejpam-6835	479	14	contributed	contribute	VERB
ejpam-6835	479	15	to	to	ADP
ejpam-6835	479	16	this	this	DET
ejpam-6835	479	17	research	research	NOUN
ejpam-6835	479	18	.	.	PUNCT
ejpam-6835	480	1	our	our	PRON
ejpam-6835	480	2	appreciation	appreciation	NOUN
ejpam-6835	480	3	goes	go	VERB
ejpam-6835	480	4	to	to	ADP
ejpam-6835	480	5	the	the	DET
ejpam-6835	480	6	readers	reader	NOUN
ejpam-6835	480	7	for	for	ADP
ejpam-6835	480	8	their	their	PRON
ejpam-6835	480	9	interest	interest	NOUN
ejpam-6835	480	10	and	and	CCONJ
ejpam-6835	480	11	to	to	ADP
ejpam-6835	480	12	the	the	DET
ejpam-6835	480	13	scholars	scholar	NOUN
ejpam-6835	480	14	whose	whose	DET
ejpam-6835	480	15	publications	publication	NOUN
ejpam-6835	480	16	provided	provide	VERB
ejpam-6835	480	17	the	the	DET
ejpam-6835	480	18	groundwork	groundwork	NOUN
ejpam-6835	480	19	for	for	ADP
ejpam-6835	480	20	this	this	DET
ejpam-6835	480	21	study	study	NOUN
ejpam-6835	480	22	.	.	PUNCT
ejpam-6835	481	1	we	we	PRON
ejpam-6835	481	2	are	be	AUX
ejpam-6835	481	3	also	also	ADV
ejpam-6835	481	4	indebted	indebted	ADJ
ejpam-6835	481	5	to	to	ADP
ejpam-6835	481	6	the	the	DET
ejpam-6835	481	7	individuals	individual	NOUN
ejpam-6835	481	8	and	and	CCONJ
ejpam-6835	481	9	institutions	institution	NOUN
ejpam-6835	481	10	that	that	PRON
ejpam-6835	481	11	supplied	supply	VERB
ejpam-6835	481	12	the	the	DET
ejpam-6835	481	13	resources	resource	NOUN
ejpam-6835	481	14	and	and	CCONJ
ejpam-6835	481	15	infrastructure	infrastructure	NOUN
ejpam-6835	481	16	necessary	necessary	ADJ
ejpam-6835	481	17	for	for	ADP
ejpam-6835	481	18	completing	complete	VERB
ejpam-6835	481	19	and	and	CCONJ
ejpam-6835	481	20	disseminating	disseminate	VERB
ejpam-6835	481	21	this	this	DET
ejpam-6835	481	22	paper	paper	NOUN
ejpam-6835	481	23	.	.	PUNCT
ejpam-6835	482	1	lastly	lastly	ADV
ejpam-6835	482	2	,	,	PUNCT
ejpam-6835	482	3	we	we	PRON
ejpam-6835	482	4	extend	extend	VERB
ejpam-6835	482	5	our	our	PRON
ejpam-6835	482	6	gratitude	gratitude	NOUN
ejpam-6835	482	7	to	to	ADP
ejpam-6835	482	8	all	all	PRON
ejpam-6835	482	9	who	who	PRON
ejpam-6835	482	10	offered	offer	VERB
ejpam-6835	482	11	their	their	PRON
ejpam-6835	482	12	support	support	NOUN
ejpam-6835	482	13	in	in	ADP
ejpam-6835	482	14	various	various	ADJ
ejpam-6835	482	15	capacities	capacity	NOUN
ejpam-6835	482	16	.	.	PUNCT
ejpam-6835	483	1	data	datum	NOUN
ejpam-6835	483	2	availability	availability	NOUN
ejpam-6835	483	3	this	this	DET
ejpam-6835	483	4	paper	paper	NOUN
ejpam-6835	483	5	is	be	AUX
ejpam-6835	483	6	purely	purely	ADV
ejpam-6835	483	7	theoretical	theoretical	ADJ
ejpam-6835	483	8	and	and	CCONJ
ejpam-6835	483	9	does	do	AUX
ejpam-6835	483	10	not	not	PART
ejpam-6835	483	11	involve	involve	VERB
ejpam-6835	483	12	any	any	DET
ejpam-6835	483	13	empirical	empirical	ADJ
ejpam-6835	483	14	data	datum	NOUN
ejpam-6835	483	15	.	.	PUNCT
ejpam-6835	484	1	we	we	PRON
ejpam-6835	484	2	welcome	welcome	VERB
ejpam-6835	484	3	future	future	ADJ
ejpam-6835	484	4	empirical	empirical	ADJ
ejpam-6835	484	5	studies	study	NOUN
ejpam-6835	484	6	that	that	PRON
ejpam-6835	484	7	build	build	VERB
ejpam-6835	484	8	upon	upon	SCONJ
ejpam-6835	484	9	and	and	CCONJ
ejpam-6835	484	10	test	test	VERB
ejpam-6835	484	11	the	the	DET
ejpam-6835	484	12	concepts	concept	NOUN
ejpam-6835	484	13	presented	present	VERB
ejpam-6835	484	14	here	here	ADV
ejpam-6835	484	15	.	.	PUNCT
ejpam-6835	485	1	ethical	ethical	ADJ
ejpam-6835	485	2	approval	approval	NOUN
ejpam-6835	485	3	as	as	SCONJ
ejpam-6835	485	4	this	this	DET
ejpam-6835	485	5	work	work	NOUN
ejpam-6835	485	6	is	be	AUX
ejpam-6835	485	7	entirely	entirely	ADV
ejpam-6835	485	8	conceptual	conceptual	ADJ
ejpam-6835	485	9	and	and	CCONJ
ejpam-6835	485	10	involves	involve	VERB
ejpam-6835	485	11	no	no	DET
ejpam-6835	485	12	human	human	ADJ
ejpam-6835	485	13	or	or	CCONJ
ejpam-6835	485	14	animal	animal	NOUN
ejpam-6835	485	15	subjects	subject	NOUN
ejpam-6835	485	16	,	,	PUNCT
ejpam-6835	485	17	ethical	ethical	ADJ
ejpam-6835	485	18	approval	approval	NOUN
ejpam-6835	485	19	was	be	AUX
ejpam-6835	485	20	not	not	PART
ejpam-6835	485	21	required	require	VERB
ejpam-6835	485	22	.	.	PUNCT
ejpam-6835	486	1	conflicts	conflict	NOUN
ejpam-6835	486	2	of	of	ADP
ejpam-6835	486	3	interest	interest	NOUN
ejpam-6835	486	4	the	the	DET
ejpam-6835	486	5	authors	author	NOUN
ejpam-6835	486	6	declare	declare	VERB
ejpam-6835	486	7	no	no	DET
ejpam-6835	486	8	conflicts	conflict	NOUN
ejpam-6835	486	9	of	of	ADP
ejpam-6835	486	10	interest	interest	NOUN
ejpam-6835	486	11	in	in	ADP
ejpam-6835	486	12	connection	connection	NOUN
ejpam-6835	486	13	with	with	ADP
ejpam-6835	486	14	this	this	DET
ejpam-6835	486	15	study	study	NOUN
ejpam-6835	486	16	or	or	CCONJ
ejpam-6835	486	17	its	its	PRON
ejpam-6835	486	18	publication	publication	NOUN
ejpam-6835	486	19	.	.	PUNCT
ejpam-6835	487	1	funding	fund	VERB
ejpam-6835	487	2	no	no	DET
ejpam-6835	487	3	external	external	ADJ
ejpam-6835	487	4	or	or	CCONJ
ejpam-6835	487	5	organizational	organizational	ADJ
ejpam-6835	487	6	funding	funding	NOUN
ejpam-6835	487	7	supported	support	VERB
ejpam-6835	487	8	this	this	DET
ejpam-6835	487	9	work	work	NOUN
ejpam-6835	487	10	.	.	PUNCT
ejpam-6835	488	1	author	author	NOUN
ejpam-6835	488	2	contributions	contribution	NOUN
ejpam-6835	488	3	conceptualization	conceptualization	NOUN
ejpam-6835	488	4	,	,	PUNCT
ejpam-6835	488	5	takaaki	takaaki	NOUN
ejpam-6835	488	6	fujita	fujita	NOUN
ejpam-6835	488	7	and	and	CCONJ
ejpam-6835	488	8	florentin	florentin	PROPN
ejpam-6835	488	9	smarandache	smarandache	NOUN
ejpam-6835	488	10	;	;	PUNCT
ejpam-6835	488	11	investigation	investigation	NOUN
ejpam-6835	488	12	,	,	PUNCT
ejpam-6835	488	13	takaaki	takaaki	NOUN
ejpam-6835	488	14	fujita	fujita	PROPN
ejpam-6835	488	15	;	;	PUNCT
ejpam-6835	488	16	methodology	methodology	NOUN
ejpam-6835	488	17	,	,	PUNCT
ejpam-6835	488	18	takaaki	takaaki	NOUN
ejpam-6835	488	19	fujita	fujita	PROPN
ejpam-6835	488	20	;	;	PUNCT
ejpam-6835	488	21	writing	write	VERB
ejpam-6835	488	22	–	–	PUNCT
ejpam-6835	488	23	original	original	ADJ
ejpam-6835	488	24	draft	draft	NOUN
ejpam-6835	488	25	,	,	PUNCT
ejpam-6835	488	26	takaaki	takaaki	NOUN
ejpam-6835	488	27	fujita	fujita	NOUN
ejpam-6835	488	28	;	;	PUNCT
ejpam-6835	488	29	writing	write	VERB
ejpam-6835	488	30	–	–	PUNCT
ejpam-6835	488	31	review	review	NOUN
ejpam-6835	488	32	&	&	CCONJ
ejpam-6835	488	33	editing	editing	NOUN
ejpam-6835	488	34	,	,	PUNCT
ejpam-6835	488	35	takaaki	takaaki	NOUN
ejpam-6835	488	36	fujita	fujita	NOUN
ejpam-6835	488	37	and	and	CCONJ
ejpam-6835	488	38	florentin	florentin	PROPN
ejpam-6835	488	39	smarandache	smarandache	NOUN
ejpam-6835	488	40	.	.	PUNCT
ejpam-6835	489	1	t.	t.	PROPN
ejpam-6835	489	2	fujita	fujita	PROPN
ejpam-6835	489	3	,	,	PUNCT
ejpam-6835	489	4	f.	f.	PROPN
ejpam-6835	489	5	smarandache	smarandache	PROPN
ejpam-6835	489	6	/	/	SYM
ejpam-6835	489	7	eur	eur	PROPN
ejpam-6835	489	8	.	.	PUNCT
ejpam-6835	490	1	j.	j.	PROPN
ejpam-6835	490	2	pure	pure	PROPN
ejpam-6835	490	3	appl	appl	PROPN
ejpam-6835	490	4	.	.	PROPN
ejpam-6835	490	5	math	math	PROPN
ejpam-6835	490	6	,	,	PUNCT
ejpam-6835	490	7	18	18	NUM
ejpam-6835	490	8	(	(	PUNCT
ejpam-6835	490	9	4	4	NUM
ejpam-6835	490	10	)	)	PUNCT
ejpam-6835	490	11	(	(	PUNCT
ejpam-6835	490	12	2025	2025	NUM
ejpam-6835	490	13	)	)	PUNCT
ejpam-6835	490	14	,	,	PUNCT
ejpam-6835	490	15	6835	6835	NUM
ejpam-6835	490	16	23	23	NUM
ejpam-6835	490	17	of	of	ADP
ejpam-6835	490	18	29	29	NUM
ejpam-6835	490	19	research	research	NOUN
ejpam-6835	490	20	integrity	integrity	NOUN
ejpam-6835	490	21	the	the	DET
ejpam-6835	490	22	authors	author	NOUN
ejpam-6835	490	23	affirm	affirm	VERB
ejpam-6835	490	24	that	that	SCONJ
ejpam-6835	490	25	,	,	PUNCT
ejpam-6835	490	26	to	to	ADP
ejpam-6835	490	27	the	the	DET
ejpam-6835	490	28	best	good	ADJ
ejpam-6835	490	29	of	of	ADP
ejpam-6835	490	30	their	their	PRON
ejpam-6835	490	31	knowledge	knowledge	NOUN
ejpam-6835	490	32	,	,	PUNCT
ejpam-6835	490	33	this	this	DET
ejpam-6835	490	34	manuscript	manuscript	NOUN
ejpam-6835	490	35	represents	represent	VERB
ejpam-6835	490	36	their	their	PRON
ejpam-6835	490	37	original	original	ADJ
ejpam-6835	490	38	research	research	NOUN
ejpam-6835	490	39	.	.	PUNCT
ejpam-6835	491	1	it	it	PRON
ejpam-6835	491	2	has	have	AUX
ejpam-6835	491	3	not	not	PART
ejpam-6835	491	4	been	be	AUX
ejpam-6835	491	5	previously	previously	ADV
ejpam-6835	491	6	published	publish	VERB
ejpam-6835	491	7	in	in	ADP
ejpam-6835	491	8	any	any	DET
ejpam-6835	491	9	journal	journal	NOUN
ejpam-6835	491	10	,	,	PUNCT
ejpam-6835	491	11	nor	nor	CCONJ
ejpam-6835	491	12	is	be	AUX
ejpam-6835	491	13	it	it	PRON
ejpam-6835	491	14	currently	currently	ADV
ejpam-6835	491	15	being	be	AUX
ejpam-6835	491	16	considered	consider	VERB
ejpam-6835	491	17	for	for	ADP
ejpam-6835	491	18	publication	publication	NOUN
ejpam-6835	491	19	elsewhere	elsewhere	ADV
ejpam-6835	491	20	.	.	PUNCT
ejpam-6835	492	1	disclaimer	disclaimer	NOUN
ejpam-6835	492	2	on	on	ADP
ejpam-6835	492	3	computational	computational	ADJ
ejpam-6835	492	4	tools	tool	NOUN
ejpam-6835	492	5	no	no	DET
ejpam-6835	492	6	computer	computer	NOUN
ejpam-6835	492	7	-	-	PUNCT
ejpam-6835	492	8	based	base	VERB
ejpam-6835	492	9	tools	tool	NOUN
ejpam-6835	492	10	—	—	PUNCT
ejpam-6835	492	11	such	such	ADJ
ejpam-6835	492	12	as	as	ADP
ejpam-6835	492	13	symbolic	symbolic	ADJ
ejpam-6835	492	14	computation	computation	NOUN
ejpam-6835	492	15	systems	system	NOUN
ejpam-6835	492	16	,	,	PUNCT
ejpam-6835	492	17	automated	automate	VERB
ejpam-6835	492	18	theorem	theorem	ADJ
ejpam-6835	492	19	provers	prover	NOUN
ejpam-6835	492	20	,	,	PUNCT
ejpam-6835	492	21	or	or	CCONJ
ejpam-6835	492	22	proof	proof	ADJ
ejpam-6835	492	23	assistants	assistant	NOUN
ejpam-6835	492	24	(	(	PUNCT
ejpam-6835	492	25	e.g.	e.g.	ADV
ejpam-6835	492	26	,	,	PUNCT
ejpam-6835	492	27	mathematica	mathematica	PROPN
ejpam-6835	492	28	,	,	PUNCT
ejpam-6835	492	29	sagemath	sagemath	NOUN
ejpam-6835	492	30	,	,	PUNCT
ejpam-6835	492	31	coq)—were	coq)—were	X
ejpam-6835	492	32	employed	employ	VERB
ejpam-6835	492	33	in	in	ADP
ejpam-6835	492	34	the	the	DET
ejpam-6835	492	35	development	development	NOUN
ejpam-6835	492	36	,	,	PUNCT
ejpam-6835	492	37	analysis	analysis	NOUN
ejpam-6835	492	38	,	,	PUNCT
ejpam-6835	492	39	or	or	CCONJ
ejpam-6835	492	40	verification	verification	NOUN
ejpam-6835	492	41	of	of	ADP
ejpam-6835	492	42	the	the	DET
ejpam-6835	492	43	results	result	NOUN
ejpam-6835	492	44	contained	contain	VERB
ejpam-6835	492	45	in	in	ADP
ejpam-6835	492	46	this	this	DET
ejpam-6835	492	47	paper	paper	NOUN
ejpam-6835	492	48	.	.	PUNCT
ejpam-6835	493	1	all	all	DET
ejpam-6835	493	2	derivations	derivation	NOUN
ejpam-6835	493	3	and	and	CCONJ
ejpam-6835	493	4	proofs	proof	NOUN
ejpam-6835	493	5	were	be	AUX
ejpam-6835	493	6	conducted	conduct	VERB
ejpam-6835	493	7	manually	manually	ADV
ejpam-6835	493	8	through	through	ADP
ejpam-6835	493	9	analytical	analytical	ADJ
ejpam-6835	493	10	methods	method	NOUN
ejpam-6835	493	11	by	by	ADP
ejpam-6835	493	12	the	the	DET
ejpam-6835	493	13	authors	author	NOUN
ejpam-6835	493	14	.	.	PUNCT
ejpam-6835	494	1	disclaimer	disclaimer	NOUN
ejpam-6835	494	2	on	on	ADP
ejpam-6835	494	3	scope	scope	NOUN
ejpam-6835	494	4	and	and	CCONJ
ejpam-6835	494	5	accuracy	accuracy	NOUN
ejpam-6835	494	6	the	the	DET
ejpam-6835	494	7	theoretical	theoretical	ADJ
ejpam-6835	494	8	models	model	NOUN
ejpam-6835	494	9	and	and	CCONJ
ejpam-6835	494	10	concepts	concept	NOUN
ejpam-6835	494	11	proposed	propose	VERB
ejpam-6835	494	12	in	in	ADP
ejpam-6835	494	13	this	this	DET
ejpam-6835	494	14	manuscript	manuscript	NOUN
ejpam-6835	494	15	have	have	AUX
ejpam-6835	494	16	not	not	PART
ejpam-6835	494	17	yet	yet	ADV
ejpam-6835	494	18	undergone	undergo	VERB
ejpam-6835	494	19	empirical	empirical	ADJ
ejpam-6835	494	20	testing	testing	NOUN
ejpam-6835	494	21	or	or	CCONJ
ejpam-6835	494	22	practical	practical	ADJ
ejpam-6835	494	23	deployment	deployment	NOUN
ejpam-6835	494	24	.	.	PUNCT
ejpam-6835	495	1	future	future	ADJ
ejpam-6835	495	2	work	work	NOUN
ejpam-6835	495	3	may	may	AUX
ejpam-6835	495	4	investigate	investigate	VERB
ejpam-6835	495	5	their	their	PRON
ejpam-6835	495	6	utility	utility	NOUN
ejpam-6835	495	7	in	in	ADP
ejpam-6835	495	8	applied	applied	ADJ
ejpam-6835	495	9	or	or	CCONJ
ejpam-6835	495	10	experimental	experimental	ADJ
ejpam-6835	495	11	contexts	context	NOUN
ejpam-6835	495	12	.	.	PUNCT
ejpam-6835	496	1	while	while	SCONJ
ejpam-6835	496	2	the	the	DET
ejpam-6835	496	3	authors	author	NOUN
ejpam-6835	496	4	have	have	AUX
ejpam-6835	496	5	taken	take	VERB
ejpam-6835	496	6	care	care	NOUN
ejpam-6835	496	7	to	to	PART
ejpam-6835	496	8	maintain	maintain	VERB
ejpam-6835	496	9	accuracy	accuracy	NOUN
ejpam-6835	496	10	and	and	CCONJ
ejpam-6835	496	11	provide	provide	VERB
ejpam-6835	496	12	appropriate	appropriate	ADJ
ejpam-6835	496	13	citations	citation	NOUN
ejpam-6835	496	14	,	,	PUNCT
ejpam-6835	496	15	inadvertent	inadvertent	ADJ
ejpam-6835	496	16	errors	error	NOUN
ejpam-6835	496	17	or	or	CCONJ
ejpam-6835	496	18	omissions	omission	NOUN
ejpam-6835	496	19	may	may	AUX
ejpam-6835	496	20	remain	remain	VERB
ejpam-6835	496	21	.	.	PUNCT
ejpam-6835	497	1	readers	reader	NOUN
ejpam-6835	497	2	are	be	AUX
ejpam-6835	497	3	encouraged	encourage	VERB
ejpam-6835	497	4	to	to	PART
ejpam-6835	497	5	consult	consult	VERB
ejpam-6835	497	6	original	original	ADJ
ejpam-6835	497	7	references	reference	NOUN
ejpam-6835	497	8	for	for	ADP
ejpam-6835	497	9	confirmation	confirmation	NOUN
ejpam-6835	497	10	and	and	CCONJ
ejpam-6835	497	11	further	further	ADJ
ejpam-6835	497	12	study	study	NOUN
ejpam-6835	497	13	.	.	PUNCT
ejpam-6835	498	1	the	the	DET
ejpam-6835	498	2	authors	author	NOUN
ejpam-6835	498	3	assert	assert	VERB
ejpam-6835	498	4	that	that	SCONJ
ejpam-6835	498	5	all	all	DET
ejpam-6835	498	6	mathematical	mathematical	ADJ
ejpam-6835	498	7	results	result	NOUN
ejpam-6835	498	8	and	and	CCONJ
ejpam-6835	498	9	justifications	justification	NOUN
ejpam-6835	498	10	included	include	VERB
ejpam-6835	498	11	in	in	ADP
ejpam-6835	498	12	this	this	DET
ejpam-6835	498	13	work	work	NOUN
ejpam-6835	498	14	have	have	AUX
ejpam-6835	498	15	been	be	AUX
ejpam-6835	498	16	carefully	carefully	ADV
ejpam-6835	498	17	reviewed	review	VERB
ejpam-6835	498	18	and	and	CCONJ
ejpam-6835	498	19	are	be	AUX
ejpam-6835	498	20	believed	believe	VERB
ejpam-6835	498	21	to	to	PART
ejpam-6835	498	22	be	be	AUX
ejpam-6835	498	23	correct	correct	ADJ
ejpam-6835	498	24	.	.	PUNCT
ejpam-6835	499	1	should	should	AUX
ejpam-6835	499	2	any	any	DET
ejpam-6835	499	3	inaccuracies	inaccuracy	NOUN
ejpam-6835	499	4	or	or	CCONJ
ejpam-6835	499	5	ambiguities	ambiguity	NOUN
ejpam-6835	499	6	be	be	AUX
ejpam-6835	499	7	discovered	discover	VERB
ejpam-6835	499	8	,	,	PUNCT
ejpam-6835	499	9	the	the	DET
ejpam-6835	499	10	authors	author	NOUN
ejpam-6835	499	11	welcome	welcome	VERB
ejpam-6835	499	12	constructive	constructive	ADJ
ejpam-6835	499	13	feedback	feedback	NOUN
ejpam-6835	499	14	and	and	CCONJ
ejpam-6835	499	15	will	will	AUX
ejpam-6835	499	16	provide	provide	VERB
ejpam-6835	499	17	clarification	clarification	NOUN
ejpam-6835	499	18	upon	upon	SCONJ
ejpam-6835	499	19	request	request	NOUN
ejpam-6835	499	20	.	.	PUNCT
ejpam-6835	500	1	the	the	DET
ejpam-6835	500	2	conclusions	conclusion	NOUN
ejpam-6835	500	3	presented	present	VERB
ejpam-6835	500	4	are	be	AUX
ejpam-6835	500	5	valid	valid	ADJ
ejpam-6835	500	6	only	only	ADV
ejpam-6835	500	7	within	within	ADP
ejpam-6835	500	8	the	the	DET
ejpam-6835	500	9	specific	specific	ADJ
ejpam-6835	500	10	theoretical	theoretical	ADJ
ejpam-6835	500	11	framework	framework	NOUN
ejpam-6835	500	12	and	and	CCONJ
ejpam-6835	500	13	assumptions	assumption	NOUN
ejpam-6835	500	14	described	describe	VERB
ejpam-6835	500	15	in	in	ADP
ejpam-6835	500	16	the	the	DET
ejpam-6835	500	17	text	text	NOUN
ejpam-6835	500	18	.	.	PUNCT
ejpam-6835	501	1	generalizing	generalize	VERB
ejpam-6835	501	2	these	these	DET
ejpam-6835	501	3	results	result	NOUN
ejpam-6835	501	4	to	to	ADP
ejpam-6835	501	5	other	other	ADJ
ejpam-6835	501	6	mathematical	mathematical	ADJ
ejpam-6835	501	7	contexts	contexts	NOUN
ejpam-6835	501	8	may	may	AUX
ejpam-6835	501	9	require	require	VERB
ejpam-6835	501	10	further	further	ADJ
ejpam-6835	501	11	investigation	investigation	NOUN
ejpam-6835	501	12	.	.	PUNCT
ejpam-6835	502	1	all	all	DET
ejpam-6835	502	2	opinions	opinion	NOUN
ejpam-6835	502	3	and	and	CCONJ
ejpam-6835	502	4	interpretations	interpretation	NOUN
ejpam-6835	502	5	expressed	express	VERB
ejpam-6835	502	6	herein	herein	NOUN
ejpam-6835	502	7	are	be	AUX
ejpam-6835	502	8	solely	solely	ADV
ejpam-6835	502	9	those	those	PRON
ejpam-6835	502	10	of	of	ADP
ejpam-6835	502	11	the	the	DET
ejpam-6835	502	12	authors	author	NOUN
ejpam-6835	502	13	and	and	CCONJ
ejpam-6835	502	14	do	do	AUX
ejpam-6835	502	15	not	not	PART
ejpam-6835	502	16	necessarily	necessarily	ADV
ejpam-6835	502	17	reflect	reflect	VERB
ejpam-6835	502	18	the	the	DET
ejpam-6835	502	19	views	view	NOUN
ejpam-6835	502	20	of	of	ADP
ejpam-6835	502	21	their	their	PRON
ejpam-6835	502	22	respective	respective	ADJ
ejpam-6835	502	23	institutions	institution	NOUN
ejpam-6835	502	24	.	.	PUNCT
ejpam-6835	503	1	use	use	NOUN
ejpam-6835	503	2	of	of	ADP
ejpam-6835	503	3	generative	generative	ADJ
ejpam-6835	503	4	ai	ai	NOUN
ejpam-6835	503	5	and	and	CCONJ
ejpam-6835	503	6	ai	ai	ADJ
ejpam-6835	503	7	-	-	PUNCT
ejpam-6835	503	8	assisted	assist	VERB
ejpam-6835	503	9	tools	tool	NOUN
ejpam-6835	503	10	i	i	PRON
ejpam-6835	503	11	use	use	VERB
ejpam-6835	503	12	generative	generative	ADJ
ejpam-6835	503	13	ai	ai	NOUN
ejpam-6835	503	14	and	and	CCONJ
ejpam-6835	503	15	ai	ai	ADJ
ejpam-6835	503	16	-	-	PUNCT
ejpam-6835	503	17	assisted	assist	VERB
ejpam-6835	503	18	tools	tool	NOUN
ejpam-6835	503	19	for	for	ADP
ejpam-6835	503	20	tasks	task	NOUN
ejpam-6835	503	21	such	such	ADJ
ejpam-6835	503	22	as	as	ADP
ejpam-6835	503	23	english	english	ADJ
ejpam-6835	503	24	grammar	grammar	NOUN
ejpam-6835	503	25	checking	checking	NOUN
ejpam-6835	503	26	,	,	PUNCT
ejpam-6835	503	27	and	and	CCONJ
ejpam-6835	503	28	i	i	PRON
ejpam-6835	503	29	do	do	AUX
ejpam-6835	503	30	not	not	PART
ejpam-6835	503	31	employ	employ	VERB
ejpam-6835	503	32	them	they	PRON
ejpam-6835	503	33	in	in	ADP
ejpam-6835	503	34	any	any	DET
ejpam-6835	503	35	way	way	NOUN
ejpam-6835	503	36	that	that	PRON
ejpam-6835	503	37	violates	violate	VERB
ejpam-6835	503	38	ethical	ethical	ADJ
ejpam-6835	503	39	standards	standard	NOUN
ejpam-6835	503	40	.	.	PUNCT
ejpam-6835	504	1	consent	consent	NOUN
ejpam-6835	504	2	to	to	PART
ejpam-6835	504	3	publish	publish	VERB
ejpam-6835	504	4	all	all	DET
ejpam-6835	504	5	authors	author	NOUN
ejpam-6835	504	6	have	have	AUX
ejpam-6835	504	7	given	give	VERB
ejpam-6835	504	8	their	their	PRON
ejpam-6835	504	9	consent	consent	NOUN
ejpam-6835	504	10	for	for	ADP
ejpam-6835	504	11	submission	submission	NOUN
ejpam-6835	504	12	of	of	ADP
ejpam-6835	504	13	this	this	DET
ejpam-6835	504	14	manuscript	manuscript	NOUN
ejpam-6835	504	15	to	to	ADP
ejpam-6835	504	16	the	the	DET
ejpam-6835	504	17	journal	journal	NOUN
ejpam-6835	504	18	.	.	PUNCT
ejpam-6835	505	1	references	reference	NOUN
ejpam-6835	505	2	[	[	X
ejpam-6835	505	3	1	1	NUM
ejpam-6835	505	4	]	]	PUNCT
ejpam-6835	505	5	claude	claude	PROPN
ejpam-6835	505	6	berge	berge	PROPN
ejpam-6835	505	7	.	.	PUNCT
ejpam-6835	506	1	hypergraphs	hypergraph	NOUN
ejpam-6835	506	2	:	:	PUNCT
ejpam-6835	506	3	combinatorics	combinatoric	NOUN
ejpam-6835	506	4	of	of	ADP
ejpam-6835	506	5	finite	finite	PROPN
ejpam-6835	506	6	sets	set	NOUN
ejpam-6835	506	7	,	,	PUNCT
ejpam-6835	506	8	volume	volume	NOUN
ejpam-6835	506	9	45	45	NUM
ejpam-6835	506	10	.	.	PUNCT
ejpam-6835	507	1	elsevier	elsevier	NOUN
ejpam-6835	507	2	,	,	PUNCT
ejpam-6835	507	3	1984	1984	NUM
ejpam-6835	507	4	.	.	PUNCT
ejpam-6835	508	1	t.	t.	PROPN
ejpam-6835	508	2	fujita	fujita	PROPN
ejpam-6835	508	3	,	,	PUNCT
ejpam-6835	508	4	f.	f.	PROPN
ejpam-6835	508	5	smarandache	smarandache	PROPN
ejpam-6835	508	6	/	/	SYM
ejpam-6835	508	7	eur	eur	PROPN
ejpam-6835	508	8	.	.	PUNCT
ejpam-6835	509	1	j.	j.	PROPN
ejpam-6835	509	2	pure	pure	PROPN
ejpam-6835	509	3	appl	appl	PROPN
ejpam-6835	509	4	.	.	PROPN
ejpam-6835	509	5	math	math	PROPN
ejpam-6835	509	6	,	,	PUNCT
ejpam-6835	509	7	18	18	NUM
ejpam-6835	509	8	(	(	PUNCT
ejpam-6835	509	9	4	4	NUM
ejpam-6835	509	10	)	)	PUNCT
ejpam-6835	509	11	(	(	PUNCT
ejpam-6835	509	12	2025	2025	NUM
ejpam-6835	509	13	)	)	PUNCT
ejpam-6835	509	14	,	,	PUNCT
ejpam-6835	509	15	6835	6835	NUM
ejpam-6835	509	16	24	24	NUM
ejpam-6835	509	17	of	of	ADP
ejpam-6835	509	18	29	29	NUM
ejpam-6835	509	19	[	[	SYM
ejpam-6835	509	20	2	2	NUM
ejpam-6835	509	21	]	]	X
ejpam-6835	509	22	mohammad	mohammad	PROPN
ejpam-6835	509	23	hamidi	hamidi	PROPN
ejpam-6835	509	24	,	,	PUNCT
ejpam-6835	509	25	florentin	florentin	NOUN
ejpam-6835	509	26	smarandache	smarandache	NOUN
ejpam-6835	509	27	,	,	PUNCT
ejpam-6835	509	28	and	and	CCONJ
ejpam-6835	509	29	elham	elham	PROPN
ejpam-6835	509	30	davneshvar	davneshvar	NOUN
ejpam-6835	509	31	.	.	PUNCT
ejpam-6835	510	1	spectrum	spectrum	NOUN
ejpam-6835	510	2	of	of	ADP
ejpam-6835	510	3	superhypergraphs	superhypergraph	NOUN
ejpam-6835	510	4	via	via	ADP
ejpam-6835	510	5	flows	flow	NOUN
ejpam-6835	510	6	.	.	PUNCT
ejpam-6835	511	1	journal	journal	NOUN
ejpam-6835	511	2	of	of	ADP
ejpam-6835	511	3	mathematics	mathematic	NOUN
ejpam-6835	511	4	,	,	PUNCT
ejpam-6835	511	5	2022(1):9158912	2022(1):9158912	NUM
ejpam-6835	511	6	,	,	PUNCT
ejpam-6835	511	7	2022	2022	NUM
ejpam-6835	511	8	.	.	PUNCT
ejpam-6835	512	1	[	[	X
ejpam-6835	512	2	3	3	X
ejpam-6835	512	3	]	]	X
ejpam-6835	512	4	narsingh	narsingh	PROPN
ejpam-6835	512	5	deo	deo	NOUN
ejpam-6835	512	6	.	.	PUNCT
ejpam-6835	513	1	graph	graph	NOUN
ejpam-6835	513	2	theory	theory	NOUN
ejpam-6835	513	3	with	with	ADP
ejpam-6835	513	4	applications	application	NOUN
ejpam-6835	513	5	to	to	ADP
ejpam-6835	513	6	engineering	engineering	NOUN
ejpam-6835	513	7	and	and	CCONJ
ejpam-6835	513	8	computer	computer	NOUN
ejpam-6835	513	9	science	science	NOUN
ejpam-6835	513	10	.	.	PUNCT
ejpam-6835	514	1	courier	courier	PROPN
ejpam-6835	514	2	dover	dover	PROPN
ejpam-6835	514	3	publications	publication	NOUN
ejpam-6835	514	4	,	,	PUNCT
ejpam-6835	514	5	2016	2016	NUM
ejpam-6835	514	6	.	.	PUNCT
ejpam-6835	515	1	[	[	X
ejpam-6835	515	2	4	4	NUM
ejpam-6835	515	3	]	]	PUNCT
ejpam-6835	515	4	reinhard	reinhard	NOUN
ejpam-6835	515	5	diestel	diestel	NOUN
ejpam-6835	515	6	.	.	PUNCT
ejpam-6835	516	1	graph	graph	NOUN
ejpam-6835	516	2	theory	theory	NOUN
ejpam-6835	516	3	.	.	PUNCT
ejpam-6835	517	1	springer	springer	NOUN
ejpam-6835	517	2	(	(	PUNCT
ejpam-6835	517	3	print	print	NOUN
ejpam-6835	517	4	edition	edition	PROPN
ejpam-6835	517	5	)	)	PUNCT
ejpam-6835	517	6	;	;	PUNCT
ejpam-6835	517	7	reinhard	reinhard	NOUN
ejpam-6835	517	8	diestel	diestel	NOUN
ejpam-6835	517	9	(	(	PUNCT
ejpam-6835	517	10	ebooks	ebooks	PROPN
ejpam-6835	517	11	)	)	PUNCT
ejpam-6835	517	12	,	,	PUNCT
ejpam-6835	517	13	2024	2024	NUM
ejpam-6835	517	14	.	.	PUNCT
ejpam-6835	518	1	[	[	X
ejpam-6835	518	2	5	5	X
ejpam-6835	518	3	]	]	X
ejpam-6835	518	4	jonathan	jonathan	PROPN
ejpam-6835	518	5	l	l	PROPN
ejpam-6835	518	6	gross	gross	PROPN
ejpam-6835	518	7	,	,	PUNCT
ejpam-6835	518	8	jay	jay	PROPN
ejpam-6835	518	9	yellen	yellen	VERB
ejpam-6835	518	10	,	,	PUNCT
ejpam-6835	518	11	and	and	CCONJ
ejpam-6835	518	12	mark	mark	PROPN
ejpam-6835	518	13	anderson	anderson	PROPN
ejpam-6835	518	14	.	.	PUNCT
ejpam-6835	519	1	graph	graph	NOUN
ejpam-6835	519	2	theory	theory	NOUN
ejpam-6835	519	3	and	and	CCONJ
ejpam-6835	519	4	its	its	PRON
ejpam-6835	519	5	applications	application	NOUN
ejpam-6835	519	6	.	.	PUNCT
ejpam-6835	520	1	chapman	chapman	NOUN
ejpam-6835	520	2	and	and	CCONJ
ejpam-6835	520	3	hall	hall	PROPN
ejpam-6835	520	4	/	/	SYM
ejpam-6835	520	5	crc	crc	NOUN
ejpam-6835	520	6	,	,	PUNCT
ejpam-6835	520	7	2018	2018	NUM
ejpam-6835	520	8	.	.	PUNCT
ejpam-6835	521	1	[	[	X
ejpam-6835	521	2	6	6	NUM
ejpam-6835	521	3	]	]	PUNCT
ejpam-6835	521	4	stephan	stephan	PROPN
ejpam-6835	521	5	wagner	wagner	PROPN
ejpam-6835	521	6	and	and	CCONJ
ejpam-6835	521	7	hua	hua	PROPN
ejpam-6835	521	8	wang	wang	PROPN
ejpam-6835	521	9	.	.	PUNCT
ejpam-6835	522	1	introduction	introduction	NOUN
ejpam-6835	522	2	to	to	ADP
ejpam-6835	522	3	chemical	chemical	NOUN
ejpam-6835	522	4	graph	graph	NOUN
ejpam-6835	522	5	theory	theory	NOUN
ejpam-6835	522	6	.	.	PUNCT
ejpam-6835	523	1	chapman	chapman	NOUN
ejpam-6835	523	2	and	and	CCONJ
ejpam-6835	523	3	hall	hall	PROPN
ejpam-6835	523	4	/	/	SYM
ejpam-6835	523	5	crc	crc	NOUN
ejpam-6835	523	6	,	,	PUNCT
ejpam-6835	523	7	2018	2018	NUM
ejpam-6835	523	8	.	.	PUNCT
ejpam-6835	524	1	[	[	X
ejpam-6835	524	2	7	7	NUM
ejpam-6835	524	3	]	]	SYM
ejpam-6835	524	4	yuan	yuan	PROPN
ejpam-6835	524	5	zhang	zhang	PROPN
ejpam-6835	524	6	.	.	PUNCT
ejpam-6835	525	1	graph	graph	VERB
ejpam-6835	525	2	neural	neural	ADJ
ejpam-6835	525	3	network	network	NOUN
ejpam-6835	525	4	-	-	PUNCT
ejpam-6835	525	5	based	base	VERB
ejpam-6835	525	6	user	user	NOUN
ejpam-6835	525	7	preference	preference	NOUN
ejpam-6835	525	8	model	model	NOUN
ejpam-6835	525	9	for	for	ADP
ejpam-6835	525	10	social	social	ADJ
ejpam-6835	525	11	network	network	NOUN
ejpam-6835	525	12	access	access	NOUN
ejpam-6835	525	13	control	control	PROPN
ejpam-6835	525	14	.	.	PUNCT
ejpam-6835	526	1	informatica	informatica	PROPN
ejpam-6835	526	2	,	,	PUNCT
ejpam-6835	526	3	49(16	49(16	NOUN
ejpam-6835	526	4	)	)	PUNCT
ejpam-6835	526	5	,	,	PUNCT
ejpam-6835	526	6	2025	2025	NUM
ejpam-6835	526	7	.	.	PUNCT
ejpam-6835	527	1	[	[	X
ejpam-6835	527	2	8	8	NUM
ejpam-6835	527	3	]	]	X
ejpam-6835	527	4	pinzheng	pinzheng	PROPN
ejpam-6835	527	5	qian	qian	PROPN
ejpam-6835	527	6	.	.	PUNCT
ejpam-6835	528	1	dual	dual	ADJ
ejpam-6835	528	2	-	-	PUNCT
ejpam-6835	528	3	layer	layer	NOUN
ejpam-6835	528	4	dynamic	dynamic	ADJ
ejpam-6835	528	5	path	path	NOUN
ejpam-6835	528	6	optimization	optimization	NOUN
ejpam-6835	528	7	for	for	ADP
ejpam-6835	528	8	airport	airport	NOUN
ejpam-6835	528	9	ground	ground	NOUN
ejpam-6835	528	10	equipment	equipment	NOUN
ejpam-6835	528	11	using	use	VERB
ejpam-6835	528	12	graph	graph	NOUN
ejpam-6835	528	13	theory	theory	NOUN
ejpam-6835	528	14	and	and	CCONJ
ejpam-6835	528	15	adaptive	adaptive	ADJ
ejpam-6835	528	16	genetic	genetic	ADJ
ejpam-6835	528	17	algorithms	algorithm	NOUN
ejpam-6835	528	18	.	.	PUNCT
ejpam-6835	529	1	informatica	informatica	PROPN
ejpam-6835	529	2	,	,	PUNCT
ejpam-6835	529	3	49(13	49(13	NUM
ejpam-6835	529	4	)	)	PUNCT
ejpam-6835	529	5	,	,	PUNCT
ejpam-6835	529	6	2025	2025	NUM
ejpam-6835	529	7	.	.	PUNCT
ejpam-6835	530	1	[	[	X
ejpam-6835	530	2	9	9	NUM
ejpam-6835	530	3	]	]	PUNCT
ejpam-6835	530	4	yiping	yip	VERB
ejpam-6835	530	5	yang	yang	PROPN
ejpam-6835	530	6	,	,	PUNCT
ejpam-6835	530	7	jijun	jijun	PROPN
ejpam-6835	530	8	liu	liu	PROPN
ejpam-6835	530	9	,	,	PUNCT
ejpam-6835	530	10	liang	liang	PROPN
ejpam-6835	530	11	zhao	zhao	PROPN
ejpam-6835	530	12	,	,	PUNCT
ejpam-6835	530	13	and	and	CCONJ
ejpam-6835	530	14	yuchen	yuchen	PROPN
ejpam-6835	530	15	yin	yin	PROPN
ejpam-6835	530	16	.	.	PUNCT
ejpam-6835	531	1	human	human	ADJ
ejpam-6835	531	2	-	-	PUNCT
ejpam-6835	531	3	computer	computer	NOUN
ejpam-6835	531	4	interaction	interaction	NOUN
ejpam-6835	531	5	based	base	VERB
ejpam-6835	531	6	on	on	ADP
ejpam-6835	531	7	asgcn	asgcn	PROPN
ejpam-6835	531	8	displacement	displacement	NOUN
ejpam-6835	531	9	graph	graph	NOUN
ejpam-6835	531	10	neural	neural	ADJ
ejpam-6835	531	11	networks	network	NOUN
ejpam-6835	531	12	.	.	PUNCT
ejpam-6835	532	1	informatica	informatica	PROPN
ejpam-6835	532	2	,	,	PUNCT
ejpam-6835	532	3	48(10	48(10	NUM
ejpam-6835	532	4	)	)	PUNCT
ejpam-6835	532	5	,	,	PUNCT
ejpam-6835	532	6	2024	2024	NUM
ejpam-6835	532	7	.	.	PUNCT
ejpam-6835	533	1	[	[	X
ejpam-6835	533	2	10	10	NUM
ejpam-6835	533	3	]	]	X
ejpam-6835	533	4	nenad	nenad	PROPN
ejpam-6835	533	5	trinajstic	trinajstic	PROPN
ejpam-6835	533	6	.	.	PUNCT
ejpam-6835	534	1	chemical	chemical	NOUN
ejpam-6835	534	2	graph	graph	NOUN
ejpam-6835	534	3	theory	theory	NOUN
ejpam-6835	534	4	.	.	PUNCT
ejpam-6835	535	1	crc	crc	PROPN
ejpam-6835	535	2	press	press	PROPN
ejpam-6835	535	3	,	,	PUNCT
ejpam-6835	535	4	2018	2018	NUM
ejpam-6835	535	5	.	.	PUNCT
ejpam-6835	536	1	[	[	X
ejpam-6835	536	2	11	11	NUM
ejpam-6835	536	3	]	]	PUNCT
ejpam-6835	536	4	yifan	yifan	PROPN
ejpam-6835	536	5	feng	feng	PROPN
ejpam-6835	536	6	,	,	PUNCT
ejpam-6835	536	7	haoxuan	haoxuan	PROPN
ejpam-6835	536	8	you	you	PRON
ejpam-6835	536	9	,	,	PUNCT
ejpam-6835	536	10	zizhao	zizhao	PROPN
ejpam-6835	536	11	zhang	zhang	PROPN
ejpam-6835	536	12	,	,	PUNCT
ejpam-6835	536	13	rongrong	rongrong	PROPN
ejpam-6835	536	14	ji	ji	PROPN
ejpam-6835	536	15	,	,	PUNCT
ejpam-6835	536	16	and	and	CCONJ
ejpam-6835	536	17	yue	yue	PROPN
ejpam-6835	536	18	gao	gao	PROPN
ejpam-6835	536	19	.	.	PUNCT
ejpam-6835	536	20	hypergraph	hypergraph	VERB
ejpam-6835	536	21	neural	neural	ADJ
ejpam-6835	536	22	networks	network	NOUN
ejpam-6835	536	23	.	.	PUNCT
ejpam-6835	537	1	in	in	ADP
ejpam-6835	537	2	proceedings	proceeding	NOUN
ejpam-6835	537	3	of	of	ADP
ejpam-6835	537	4	the	the	DET
ejpam-6835	537	5	aaai	aaai	PROPN
ejpam-6835	537	6	conference	conference	NOUN
ejpam-6835	537	7	on	on	ADP
ejpam-6835	537	8	artificial	artificial	ADJ
ejpam-6835	537	9	intelligence	intelligence	NOUN
ejpam-6835	537	10	,	,	PUNCT
ejpam-6835	537	11	volume	volume	NOUN
ejpam-6835	537	12	33	33	NUM
ejpam-6835	537	13	,	,	PUNCT
ejpam-6835	537	14	pages	page	NOUN
ejpam-6835	537	15	3558–3565	3558–3565	NUM
ejpam-6835	537	16	,	,	PUNCT
ejpam-6835	537	17	2019	2019	NUM
ejpam-6835	537	18	.	.	PUNCT
ejpam-6835	538	1	[	[	X
ejpam-6835	538	2	12	12	NUM
ejpam-6835	538	3	]	]	X
ejpam-6835	538	4	yue	yue	PROPN
ejpam-6835	538	5	gao	gao	PROPN
ejpam-6835	538	6	,	,	PUNCT
ejpam-6835	538	7	zizhao	zizhao	PROPN
ejpam-6835	538	8	zhang	zhang	PROPN
ejpam-6835	538	9	,	,	PUNCT
ejpam-6835	538	10	haojie	haojie	PROPN
ejpam-6835	538	11	lin	lin	PROPN
ejpam-6835	538	12	,	,	PUNCT
ejpam-6835	538	13	xibin	xibin	PROPN
ejpam-6835	538	14	zhao	zhao	PROPN
ejpam-6835	538	15	,	,	PUNCT
ejpam-6835	538	16	shaoyi	shaoyi	PROPN
ejpam-6835	538	17	du	du	PROPN
ejpam-6835	538	18	,	,	PUNCT
ejpam-6835	538	19	and	and	CCONJ
ejpam-6835	538	20	changqing	changqe	VERB
ejpam-6835	538	21	zou	zou	PROPN
ejpam-6835	538	22	.	.	PUNCT
ejpam-6835	539	1	hypergraph	hypergraph	PROPN
ejpam-6835	539	2	learning	learning	PROPN
ejpam-6835	539	3	:	:	PUNCT
ejpam-6835	539	4	methods	method	NOUN
ejpam-6835	539	5	and	and	CCONJ
ejpam-6835	539	6	practices	practice	NOUN
ejpam-6835	539	7	.	.	PUNCT
ejpam-6835	540	1	ieee	ieee	NOUN
ejpam-6835	540	2	transactions	transaction	NOUN
ejpam-6835	540	3	on	on	ADP
ejpam-6835	540	4	pattern	pattern	NOUN
ejpam-6835	540	5	analysis	analysis	NOUN
ejpam-6835	540	6	and	and	CCONJ
ejpam-6835	540	7	machine	machine	NOUN
ejpam-6835	540	8	intelligence	intelligence	NOUN
ejpam-6835	540	9	,	,	PUNCT
ejpam-6835	540	10	44(5):2548–2566	44(5):2548–2566	NUM
ejpam-6835	540	11	,	,	PUNCT
ejpam-6835	540	12	2020	2020	NUM
ejpam-6835	540	13	.	.	PUNCT
ejpam-6835	541	1	[	[	X
ejpam-6835	541	2	13	13	NUM
ejpam-6835	541	3	]	]	PUNCT
ejpam-6835	541	4	yifan	yifan	PROPN
ejpam-6835	541	5	feng	feng	PROPN
ejpam-6835	541	6	,	,	PUNCT
ejpam-6835	541	7	jiashu	jiashu	PROPN
ejpam-6835	541	8	han	han	PROPN
ejpam-6835	541	9	,	,	PUNCT
ejpam-6835	541	10	shihui	shihui	PROPN
ejpam-6835	541	11	ying	ying	PROPN
ejpam-6835	541	12	,	,	PUNCT
ejpam-6835	541	13	and	and	CCONJ
ejpam-6835	541	14	yue	yue	PROPN
ejpam-6835	541	15	gao	gao	PROPN
ejpam-6835	541	16	.	.	PUNCT
ejpam-6835	542	1	hypergraph	hypergraph	VERB
ejpam-6835	542	2	isomorphism	isomorphism	PROPN
ejpam-6835	542	3	computation	computation	NOUN
ejpam-6835	542	4	.	.	PUNCT
ejpam-6835	543	1	ieee	ieee	NOUN
ejpam-6835	543	2	transactions	transaction	NOUN
ejpam-6835	543	3	on	on	ADP
ejpam-6835	543	4	pattern	pattern	NOUN
ejpam-6835	543	5	analysis	analysis	NOUN
ejpam-6835	543	6	and	and	CCONJ
ejpam-6835	543	7	machine	machine	NOUN
ejpam-6835	543	8	intelligence	intelligence	NOUN
ejpam-6835	543	9	,	,	PUNCT
ejpam-6835	543	10	2024	2024	NUM
ejpam-6835	543	11	.	.	PUNCT
ejpam-6835	544	1	[	[	X
ejpam-6835	544	2	14	14	NUM
ejpam-6835	544	3	]	]	X
ejpam-6835	544	4	yuxin	yuxin	PROPN
ejpam-6835	544	5	wang	wang	PROPN
ejpam-6835	544	6	,	,	PUNCT
ejpam-6835	544	7	quan	quan	PROPN
ejpam-6835	544	8	gan	gan	PROPN
ejpam-6835	544	9	,	,	PUNCT
ejpam-6835	544	10	xipeng	xipeng	PROPN
ejpam-6835	544	11	qiu	qiu	PROPN
ejpam-6835	544	12	,	,	PUNCT
ejpam-6835	544	13	xuanjing	xuanjing	PROPN
ejpam-6835	544	14	huang	huang	PROPN
ejpam-6835	544	15	,	,	PUNCT
ejpam-6835	544	16	and	and	CCONJ
ejpam-6835	544	17	david	david	PROPN
ejpam-6835	544	18	wipf	wipf	PROPN
ejpam-6835	544	19	.	.	PUNCT
ejpam-6835	545	1	from	from	ADP
ejpam-6835	545	2	hypergraph	hypergraph	NOUN
ejpam-6835	545	3	energy	energy	NOUN
ejpam-6835	545	4	functions	function	NOUN
ejpam-6835	545	5	to	to	PART
ejpam-6835	545	6	hypergraph	hypergraph	VERB
ejpam-6835	545	7	neural	neural	ADJ
ejpam-6835	545	8	networks	network	NOUN
ejpam-6835	545	9	.	.	PUNCT
ejpam-6835	546	1	in	in	ADP
ejpam-6835	546	2	international	international	ADJ
ejpam-6835	546	3	conference	conference	NOUN
ejpam-6835	546	4	on	on	ADP
ejpam-6835	546	5	machine	machine	NOUN
ejpam-6835	546	6	learning	learning	NOUN
ejpam-6835	546	7	,	,	PUNCT
ejpam-6835	546	8	pages	page	NOUN
ejpam-6835	546	9	35605–35623	35605–35623	NUM
ejpam-6835	546	10	.	.	PUNCT
ejpam-6835	546	11	pmlr	pmlr	NOUN
ejpam-6835	546	12	,	,	PUNCT
ejpam-6835	546	13	2023	2023	NUM
ejpam-6835	546	14	.	.	PUNCT
ejpam-6835	547	1	[	[	X
ejpam-6835	547	2	15	15	NUM
ejpam-6835	547	3	]	]	X
ejpam-6835	547	4	yue	yue	PROPN
ejpam-6835	547	5	gao	gao	PROPN
ejpam-6835	547	6	,	,	PUNCT
ejpam-6835	547	7	yifan	yifan	PROPN
ejpam-6835	547	8	feng	feng	PROPN
ejpam-6835	547	9	,	,	PUNCT
ejpam-6835	547	10	shuyi	shuyi	VERB
ejpam-6835	547	11	ji	ji	PROPN
ejpam-6835	547	12	,	,	PUNCT
ejpam-6835	547	13	and	and	CCONJ
ejpam-6835	547	14	rongrong	rongrong	PROPN
ejpam-6835	547	15	ji	ji	PROPN
ejpam-6835	547	16	.	.	PROPN
ejpam-6835	548	1	hgnn+	hgnn+	PROPN
ejpam-6835	548	2	:	:	PUNCT
ejpam-6835	548	3	general	general	ADJ
ejpam-6835	548	4	hypergraph	hypergraph	VERB
ejpam-6835	548	5	neural	neural	ADJ
ejpam-6835	548	6	networks	network	NOUN
ejpam-6835	548	7	.	.	PUNCT
ejpam-6835	549	1	ieee	ieee	NOUN
ejpam-6835	549	2	transactions	transaction	NOUN
ejpam-6835	549	3	on	on	ADP
ejpam-6835	549	4	pattern	pattern	NOUN
ejpam-6835	549	5	analysis	analysis	NOUN
ejpam-6835	549	6	and	and	CCONJ
ejpam-6835	549	7	machine	machine	NOUN
ejpam-6835	549	8	intelligence	intelligence	NOUN
ejpam-6835	549	9	,	,	PUNCT
ejpam-6835	549	10	45(3):3181–3199	45(3):3181–3199	PROPN
ejpam-6835	549	11	,	,	PUNCT
ejpam-6835	549	12	2022	2022	NUM
ejpam-6835	549	13	.	.	PUNCT
ejpam-6835	550	1	[	[	X
ejpam-6835	550	2	16	16	NUM
ejpam-6835	550	3	]	]	X
ejpam-6835	550	4	anirban	anirban	PROPN
ejpam-6835	550	5	banerjee	banerjee	PROPN
ejpam-6835	550	6	,	,	PUNCT
ejpam-6835	550	7	rajiv	rajiv	PROPN
ejpam-6835	550	8	mishra	mishra	PROPN
ejpam-6835	550	9	,	,	PUNCT
ejpam-6835	550	10	and	and	CCONJ
ejpam-6835	550	11	samiron	samiron	PROPN
ejpam-6835	550	12	parui	parui	PROPN
ejpam-6835	550	13	.	.	PUNCT
ejpam-6835	551	1	on	on	ADP
ejpam-6835	551	2	the	the	DET
ejpam-6835	551	3	spectra	spectra	NOUN
ejpam-6835	551	4	of	of	ADP
ejpam-6835	551	5	threshold	threshold	NOUN
ejpam-6835	551	6	hypergraphs	hypergraph	NOUN
ejpam-6835	551	7	.	.	PUNCT
ejpam-6835	552	1	arxiv	arxiv	PROPN
ejpam-6835	552	2	preprint	preprint	PROPN
ejpam-6835	552	3	arxiv:2207.02528	arxiv:2207.02528	NOUN
ejpam-6835	552	4	,	,	PUNCT
ejpam-6835	552	5	2022	2022	NUM
ejpam-6835	552	6	.	.	PUNCT
ejpam-6835	553	1	[	[	X
ejpam-6835	553	2	17	17	NUM
ejpam-6835	553	3	]	]	X
ejpam-6835	553	4	nina	nina	PROPN
ejpam-6835	553	5	chiarelli	chiarelli	PROPN
ejpam-6835	553	6	and	and	CCONJ
ejpam-6835	553	7	martin	martin	PROPN
ejpam-6835	553	8	milanič.	milanič.	PROPN
ejpam-6835	553	9	total	total	PROPN
ejpam-6835	553	10	domishold	domishold	VERB
ejpam-6835	553	11	graphs	graph	NOUN
ejpam-6835	553	12	:	:	PUNCT
ejpam-6835	553	13	a	a	DET
ejpam-6835	553	14	generalization	generalization	NOUN
ejpam-6835	553	15	of	of	ADP
ejpam-6835	553	16	threshold	threshold	NOUN
ejpam-6835	553	17	graphs	graph	NOUN
ejpam-6835	553	18	,	,	PUNCT
ejpam-6835	553	19	with	with	ADP
ejpam-6835	553	20	connections	connection	NOUN
ejpam-6835	553	21	to	to	AUX
ejpam-6835	553	22	threshold	threshold	NOUN
ejpam-6835	553	23	hypergraphs	hypergraph	NOUN
ejpam-6835	553	24	.	.	PUNCT
ejpam-6835	554	1	discrete	discrete	VERB
ejpam-6835	554	2	applied	applied	ADJ
ejpam-6835	554	3	mathematics	mathematic	NOUN
ejpam-6835	554	4	,	,	PUNCT
ejpam-6835	554	5	179:1–12	179:1–12	NUM
ejpam-6835	554	6	,	,	PUNCT
ejpam-6835	554	7	2014	2014	NUM
ejpam-6835	554	8	.	.	PUNCT
ejpam-6835	555	1	[	[	X
ejpam-6835	555	2	18	18	NUM
ejpam-6835	555	3	]	]	X
ejpam-6835	555	4	peter	peter	PROPN
ejpam-6835	555	5	keevash	keevash	PROPN
ejpam-6835	555	6	.	.	PUNCT
ejpam-6835	556	1	hypergraph	hypergraph	VERB
ejpam-6835	556	2	turan	turan	PROPN
ejpam-6835	556	3	problems	problem	NOUN
ejpam-6835	556	4	.	.	PUNCT
ejpam-6835	557	1	surveys	survey	NOUN
ejpam-6835	557	2	in	in	ADP
ejpam-6835	557	3	combinatorics	combinatoric	NOUN
ejpam-6835	557	4	,	,	PUNCT
ejpam-6835	557	5	392:83–140	392:83–140	NUM
ejpam-6835	557	6	,	,	PUNCT
ejpam-6835	557	7	2011	2011	NUM
ejpam-6835	557	8	.	.	PUNCT
ejpam-6835	558	1	[	[	X
ejpam-6835	558	2	19	19	NUM
ejpam-6835	558	3	]	]	PUNCT
ejpam-6835	558	4	anam	anam	PROPN
ejpam-6835	558	5	luqman	luqman	PROPN
ejpam-6835	558	6	,	,	PUNCT
ejpam-6835	558	7	muhammad	muhammad	PROPN
ejpam-6835	558	8	akram	akram	PROPN
ejpam-6835	558	9	,	,	PUNCT
ejpam-6835	558	10	and	and	CCONJ
ejpam-6835	558	11	ahmad	ahmad	PROPN
ejpam-6835	558	12	n.	n.	PROPN
ejpam-6835	558	13	al	al	PROPN
ejpam-6835	558	14	-	-	PUNCT
ejpam-6835	558	15	kenani	kenani	PROPN
ejpam-6835	558	16	.	.	PUNCT
ejpam-6835	559	1	q	q	X
ejpam-6835	559	2	-	-	PUNCT
ejpam-6835	559	3	rung	rung	ADJ
ejpam-6835	559	4	orthopair	orthopair	ADJ
ejpam-6835	559	5	fuzzy	fuzzy	ADJ
ejpam-6835	559	6	hypergraphs	hypergraph	NOUN
ejpam-6835	559	7	with	with	ADP
ejpam-6835	559	8	applications	application	NOUN
ejpam-6835	559	9	.	.	PUNCT
ejpam-6835	560	1	mathematics	mathematic	NOUN
ejpam-6835	560	2	,	,	PUNCT
ejpam-6835	560	3	7(3):260	7(3):260	NUM
ejpam-6835	560	4	,	,	PUNCT
ejpam-6835	560	5	2019	2019	NUM
ejpam-6835	560	6	.	.	PUNCT
ejpam-6835	561	1	[	[	X
ejpam-6835	561	2	20	20	NUM
ejpam-6835	561	3	]	]	PUNCT
ejpam-6835	561	4	muhammad	muhammad	PROPN
ejpam-6835	561	5	akram	akram	PROPN
ejpam-6835	561	6	and	and	CCONJ
ejpam-6835	561	7	musavarah	musavarah	PROPN
ejpam-6835	561	8	sarwar	sarwar	PROPN
ejpam-6835	561	9	.	.	PUNCT
ejpam-6835	562	1	transversals	transversal	NOUN
ejpam-6835	562	2	of	of	ADP
ejpam-6835	562	3	m	m	ADJ
ejpam-6835	562	4	-	-	ADJ
ejpam-6835	562	5	polar	polar	ADJ
ejpam-6835	562	6	fuzzy	fuzzy	ADJ
ejpam-6835	562	7	hypergraphs	hypergraph	NOUN
ejpam-6835	562	8	with	with	ADP
ejpam-6835	562	9	applications	application	NOUN
ejpam-6835	562	10	.	.	PUNCT
ejpam-6835	563	1	journal	journal	NOUN
ejpam-6835	563	2	of	of	ADP
ejpam-6835	563	3	intelligent	intelligent	ADJ
ejpam-6835	563	4	&	&	CCONJ
ejpam-6835	563	5	fuzzy	fuzzy	ADJ
ejpam-6835	563	6	systems	system	NOUN
ejpam-6835	563	7	,	,	PUNCT
ejpam-6835	563	8	33(1):351–364	33(1):351–364	PROPN
ejpam-6835	563	9	,	,	PUNCT
ejpam-6835	563	10	2017	2017	NUM
ejpam-6835	563	11	.	.	PUNCT
ejpam-6835	564	1	t.	t.	PROPN
ejpam-6835	564	2	fujita	fujita	PROPN
ejpam-6835	564	3	,	,	PUNCT
ejpam-6835	564	4	f.	f.	PROPN
ejpam-6835	564	5	smarandache	smarandache	PROPN
ejpam-6835	564	6	/	/	SYM
ejpam-6835	564	7	eur	eur	PROPN
ejpam-6835	564	8	.	.	PUNCT
ejpam-6835	565	1	j.	j.	PROPN
ejpam-6835	565	2	pure	pure	PROPN
ejpam-6835	565	3	appl	appl	PROPN
ejpam-6835	565	4	.	.	PROPN
ejpam-6835	565	5	math	math	PROPN
ejpam-6835	565	6	,	,	PUNCT
ejpam-6835	565	7	18	18	NUM
ejpam-6835	565	8	(	(	PUNCT
ejpam-6835	565	9	4	4	NUM
ejpam-6835	565	10	)	)	PUNCT
ejpam-6835	565	11	(	(	PUNCT
ejpam-6835	565	12	2025	2025	NUM
ejpam-6835	565	13	)	)	PUNCT
ejpam-6835	565	14	,	,	PUNCT
ejpam-6835	565	15	6835	6835	NUM
ejpam-6835	565	16	25	25	NUM
ejpam-6835	565	17	of	of	ADP
ejpam-6835	565	18	29	29	NUM
ejpam-6835	566	1	[	[	SYM
ejpam-6835	566	2	21	21	NUM
ejpam-6835	566	3	]	]	X
ejpam-6835	566	4	muhammad	muhammad	PROPN
ejpam-6835	566	5	akram	akram	PROPN
ejpam-6835	566	6	and	and	CCONJ
ejpam-6835	566	7	gulfam	gulfam	PROPN
ejpam-6835	566	8	shahzadi	shahzadi	PROPN
ejpam-6835	566	9	.	.	PUNCT
ejpam-6835	567	1	hypergraphs	hypergraph	NOUN
ejpam-6835	567	2	in	in	ADP
ejpam-6835	567	3	m	m	ADJ
ejpam-6835	567	4	-	-	ADJ
ejpam-6835	567	5	polar	polar	ADJ
ejpam-6835	567	6	fuzzy	fuzzy	ADJ
ejpam-6835	567	7	environment	environment	NOUN
ejpam-6835	567	8	.	.	PUNCT
ejpam-6835	568	1	mathematics	mathematic	NOUN
ejpam-6835	568	2	,	,	PUNCT
ejpam-6835	568	3	6(2):28	6(2):28	NOUN
ejpam-6835	568	4	,	,	PUNCT
ejpam-6835	568	5	2018	2018	NUM
ejpam-6835	568	6	.	.	PUNCT
ejpam-6835	569	1	[	[	X
ejpam-6835	569	2	22	22	NUM
ejpam-6835	569	3	]	]	PUNCT
ejpam-6835	569	4	eduardo	eduardo	PROPN
ejpam-6835	569	5	luciano	luciano	PROPN
ejpam-6835	569	6	hernandez	hernandez	PROPN
ejpam-6835	569	7	ramos	ramos	PROPN
ejpam-6835	569	8	,	,	PUNCT
ejpam-6835	569	9	luis	luis	PROPN
ejpam-6835	569	10	ramiro	ramiro	PROPN
ejpam-6835	569	11	ayala	ayala	PROPN
ejpam-6835	569	12	ayala	ayala	PROPN
ejpam-6835	569	13	,	,	PUNCT
ejpam-6835	569	14	and	and	CCONJ
ejpam-6835	569	15	kevin	kevin	PROPN
ejpam-6835	569	16	alexander	alexander	PROPN
ejpam-6835	569	17	samaniego	samaniego	PROPN
ejpam-6835	569	18	macas	macas	PROPN
ejpam-6835	569	19	.	.	PUNCT
ejpam-6835	570	1	study	study	NOUN
ejpam-6835	570	2	of	of	ADP
ejpam-6835	570	3	factors	factor	NOUN
ejpam-6835	570	4	that	that	PRON
ejpam-6835	570	5	influence	influence	VERB
ejpam-6835	570	6	a	a	DET
ejpam-6835	570	7	victim	victim	NOUN
ejpam-6835	570	8	’s	’s	PART
ejpam-6835	570	9	refusal	refusal	NOUN
ejpam-6835	570	10	to	to	PART
ejpam-6835	570	11	testify	testify	VERB
ejpam-6835	570	12	for	for	ADP
ejpam-6835	570	13	sexual	sexual	ADJ
ejpam-6835	570	14	reasons	reason	NOUN
ejpam-6835	570	15	due	due	ADJ
ejpam-6835	570	16	to	to	ADP
ejpam-6835	570	17	external	external	ADJ
ejpam-6835	570	18	influence	influence	NOUN
ejpam-6835	570	19	using	use	VERB
ejpam-6835	570	20	plithogenic	plithogenic	ADJ
ejpam-6835	570	21	n	n	CCONJ
ejpam-6835	570	22	-	-	PUNCT
ejpam-6835	570	23	superhypergraphs	superhypergraph	NOUN
ejpam-6835	570	24	.	.	PUNCT
ejpam-6835	571	1	operational	operational	ADJ
ejpam-6835	571	2	research	research	NOUN
ejpam-6835	571	3	journal	journal	PROPN
ejpam-6835	571	4	,	,	PUNCT
ejpam-6835	571	5	46(2):328–337	46(2):328–337	PROPN
ejpam-6835	571	6	,	,	PUNCT
ejpam-6835	571	7	2025	2025	NUM
ejpam-6835	571	8	.	.	PUNCT
ejpam-6835	572	1	[	[	X
ejpam-6835	572	2	23	23	NUM
ejpam-6835	572	3	]	]	X
ejpam-6835	572	4	masoud	masoud	PROPN
ejpam-6835	572	5	ghods	ghods	PROPN
ejpam-6835	572	6	,	,	PUNCT
ejpam-6835	572	7	zahra	zahra	PROPN
ejpam-6835	572	8	rostami	rostami	PROPN
ejpam-6835	572	9	,	,	PUNCT
ejpam-6835	572	10	and	and	CCONJ
ejpam-6835	572	11	florentin	florentin	PROPN
ejpam-6835	572	12	smarandache	smarandache	NOUN
ejpam-6835	572	13	.	.	PUNCT
ejpam-6835	573	1	introduction	introduction	NOUN
ejpam-6835	573	2	to	to	ADP
ejpam-6835	573	3	neutrosophic	neutrosophic	ADJ
ejpam-6835	573	4	restricted	restrict	VERB
ejpam-6835	573	5	superhypergraphs	superhypergraph	NOUN
ejpam-6835	573	6	and	and	CCONJ
ejpam-6835	573	7	neutrosophic	neutrosophic	ADJ
ejpam-6835	573	8	restricted	restrict	VERB
ejpam-6835	573	9	superhypertrees	superhypertree	NOUN
ejpam-6835	573	10	and	and	CCONJ
ejpam-6835	573	11	several	several	ADJ
ejpam-6835	573	12	of	of	ADP
ejpam-6835	573	13	their	their	PRON
ejpam-6835	573	14	properties	property	NOUN
ejpam-6835	573	15	.	.	PUNCT
ejpam-6835	574	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	574	2	sets	set	NOUN
ejpam-6835	574	3	and	and	CCONJ
ejpam-6835	574	4	systems	system	NOUN
ejpam-6835	574	5	,	,	PUNCT
ejpam-6835	574	6	50:480–487	50:480–487	NUM
ejpam-6835	574	7	,	,	PUNCT
ejpam-6835	574	8	2022	2022	NUM
ejpam-6835	574	9	.	.	PUNCT
ejpam-6835	575	1	[	[	X
ejpam-6835	575	2	24	24	NUM
ejpam-6835	575	3	]	]	PUNCT
ejpam-6835	575	4	takaaki	takaaki	NOUN
ejpam-6835	575	5	fujita	fujita	NOUN
ejpam-6835	575	6	and	and	CCONJ
ejpam-6835	575	7	florentin	florentin	PROPN
ejpam-6835	575	8	smarandache	smarandache	PROPN
ejpam-6835	575	9	.	.	PUNCT
ejpam-6835	576	1	neutrosophic	neutrosophic	PROPN
ejpam-6835	576	2	soft	soft	ADJ
ejpam-6835	576	3	n	n	CCONJ
ejpam-6835	576	4	-	-	PUNCT
ejpam-6835	576	5	super	super	NOUN
ejpam-6835	576	6	-	-	NOUN
ejpam-6835	576	7	hypergraphs	hypergraph	NOUN
ejpam-6835	576	8	with	with	ADP
ejpam-6835	576	9	real	real	ADJ
ejpam-6835	576	10	-	-	PUNCT
ejpam-6835	576	11	world	world	NOUN
ejpam-6835	576	12	applications	application	NOUN
ejpam-6835	576	13	.	.	PUNCT
ejpam-6835	577	1	european	european	ADJ
ejpam-6835	577	2	journal	journal	PROPN
ejpam-6835	577	3	of	of	ADP
ejpam-6835	577	4	pure	pure	ADJ
ejpam-6835	577	5	and	and	CCONJ
ejpam-6835	577	6	applied	applied	ADJ
ejpam-6835	577	7	mathematics	mathematic	NOUN
ejpam-6835	577	8	,	,	PUNCT
ejpam-6835	577	9	18(3):6621	18(3):6621	NUM
ejpam-6835	577	10	,	,	PUNCT
ejpam-6835	577	11	2025	2025	NUM
ejpam-6835	577	12	.	.	PUNCT
ejpam-6835	578	1	[	[	X
ejpam-6835	578	2	25	25	NUM
ejpam-6835	578	3	]	]	X
ejpam-6835	578	4	mohammed	mohammed	PROPN
ejpam-6835	578	5	alqahtani	alqahtani	PROPN
ejpam-6835	578	6	.	.	PUNCT
ejpam-6835	579	1	intuitionistic	intuitionistic	ADJ
ejpam-6835	579	2	fuzzy	fuzzy	ADJ
ejpam-6835	579	3	quasi	quasi	ADJ
ejpam-6835	579	4	-	-	ADJ
ejpam-6835	579	5	supergraph	supergraph	ADJ
ejpam-6835	579	6	integration	integration	NOUN
ejpam-6835	579	7	for	for	ADP
ejpam-6835	579	8	social	social	ADJ
ejpam-6835	579	9	network	network	NOUN
ejpam-6835	579	10	decision	decision	NOUN
ejpam-6835	579	11	making	making	NOUN
ejpam-6835	579	12	.	.	PUNCT
ejpam-6835	580	1	international	international	ADJ
ejpam-6835	580	2	journal	journal	NOUN
ejpam-6835	580	3	of	of	ADP
ejpam-6835	580	4	analysis	analysis	NOUN
ejpam-6835	580	5	and	and	CCONJ
ejpam-6835	580	6	applications	application	NOUN
ejpam-6835	580	7	,	,	PUNCT
ejpam-6835	580	8	23:137	23:137	NUM
ejpam-6835	580	9	–	–	PUNCT
ejpam-6835	580	10	137	137	NUM
ejpam-6835	580	11	,	,	PUNCT
ejpam-6835	580	12	2025	2025	NUM
ejpam-6835	580	13	.	.	PUNCT
ejpam-6835	581	1	[	[	X
ejpam-6835	581	2	26	26	NUM
ejpam-6835	581	3	]	]	X
ejpam-6835	581	4	mohammad	mohammad	PROPN
ejpam-6835	581	5	hamidi	hamidi	PROPN
ejpam-6835	581	6	and	and	CCONJ
ejpam-6835	581	7	mohadeseh	mohadeseh	PROPN
ejpam-6835	581	8	taghinezhad	taghinezhad	VERB
ejpam-6835	581	9	.	.	PUNCT
ejpam-6835	582	1	application	application	NOUN
ejpam-6835	582	2	of	of	ADP
ejpam-6835	582	3	superhypergraphsbased	superhypergraphsbased	ADJ
ejpam-6835	582	4	domination	domination	NOUN
ejpam-6835	582	5	number	number	NOUN
ejpam-6835	582	6	in	in	ADP
ejpam-6835	582	7	real	real	ADJ
ejpam-6835	582	8	world	world	NOUN
ejpam-6835	582	9	.	.	PUNCT
ejpam-6835	583	1	infinite	infinite	ADJ
ejpam-6835	583	2	study	study	NOUN
ejpam-6835	583	3	,	,	PUNCT
ejpam-6835	583	4	2023	2023	NUM
ejpam-6835	583	5	.	.	PUNCT
ejpam-6835	584	1	[	[	X
ejpam-6835	584	2	27	27	NUM
ejpam-6835	584	3	]	]	X
ejpam-6835	584	4	julio	julio	PROPN
ejpam-6835	584	5	cesar	cesar	PROPN
ejpam-6835	584	6	méndez	méndez	PROPN
ejpam-6835	584	7	bravo	bravo	PROPN
ejpam-6835	584	8	,	,	PUNCT
ejpam-6835	584	9	claudia	claudia	PROPN
ejpam-6835	584	10	jeaneth	jeaneth	PROPN
ejpam-6835	584	11	bolanos	bolanos	PROPN
ejpam-6835	584	12	piedrahita	piedrahita	PROPN
ejpam-6835	584	13	,	,	PUNCT
ejpam-6835	584	14	manuel	manuel	PROPN
ejpam-6835	584	15	alberto	alberto	PROPN
ejpam-6835	584	16	méndez	méndez	PROPN
ejpam-6835	584	17	bravo	bravo	PROPN
ejpam-6835	584	18	,	,	PUNCT
ejpam-6835	584	19	and	and	CCONJ
ejpam-6835	584	20	luis	luis	PROPN
ejpam-6835	584	21	manuel	manuel	PROPN
ejpam-6835	584	22	pilacuan	pilacuan	PROPN
ejpam-6835	584	23	-	-	PUNCT
ejpam-6835	584	24	bonete	bonete	NOUN
ejpam-6835	584	25	.	.	PUNCT
ejpam-6835	585	1	integrating	integrate	VERB
ejpam-6835	585	2	smed	sme	VERB
ejpam-6835	585	3	and	and	CCONJ
ejpam-6835	585	4	industry	industry	NOUN
ejpam-6835	585	5	4.0	4.0	NUM
ejpam-6835	585	6	to	to	PART
ejpam-6835	585	7	optimize	optimize	VERB
ejpam-6835	585	8	processes	process	NOUN
ejpam-6835	585	9	with	with	ADP
ejpam-6835	585	10	plithogenic	plithogenic	ADJ
ejpam-6835	585	11	n	n	CCONJ
ejpam-6835	585	12	-	-	PUNCT
ejpam-6835	585	13	superhypergraphs	superhypergraph	NOUN
ejpam-6835	585	14	.	.	PUNCT
ejpam-6835	586	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	586	2	sets	set	NOUN
ejpam-6835	586	3	and	and	CCONJ
ejpam-6835	586	4	systems	system	NOUN
ejpam-6835	586	5	,	,	PUNCT
ejpam-6835	586	6	84:328–340	84:328–340	NUM
ejpam-6835	586	7	,	,	PUNCT
ejpam-6835	586	8	2025	2025	NUM
ejpam-6835	586	9	.	.	PUNCT
ejpam-6835	587	1	[	[	X
ejpam-6835	587	2	28	28	NUM
ejpam-6835	587	3	]	]	X
ejpam-6835	587	4	robert	robert	PROPN
ejpam-6835	587	5	endre	endre	PROPN
ejpam-6835	587	6	tarjan	tarjan	PROPN
ejpam-6835	587	7	.	.	PUNCT
ejpam-6835	588	1	depth	depth	NOUN
ejpam-6835	588	2	-	-	PUNCT
ejpam-6835	588	3	first	first	ADJ
ejpam-6835	588	4	search	search	NOUN
ejpam-6835	588	5	and	and	CCONJ
ejpam-6835	588	6	linear	linear	ADJ
ejpam-6835	588	7	graph	graph	NOUN
ejpam-6835	588	8	algorithms	algorithm	NOUN
ejpam-6835	588	9	.	.	PUNCT
ejpam-6835	589	1	siam	siam	PROPN
ejpam-6835	589	2	j.	j.	PROPN
ejpam-6835	589	3	comput	comput	PROPN
ejpam-6835	589	4	.	.	PUNCT
ejpam-6835	589	5	,	,	PUNCT
ejpam-6835	589	6	1:146–160	1:146–160	NUM
ejpam-6835	589	7	,	,	PUNCT
ejpam-6835	589	8	1972	1972	NUM
ejpam-6835	589	9	.	.	PUNCT
ejpam-6835	590	1	[	[	X
ejpam-6835	590	2	29	29	NUM
ejpam-6835	590	3	]	]	X
ejpam-6835	590	4	kurt	kurt	PROPN
ejpam-6835	590	5	mehlhorn	mehlhorn	VERB
ejpam-6835	590	6	.	.	PUNCT
ejpam-6835	591	1	graph	graph	NOUN
ejpam-6835	591	2	algorithm	algorithm	NOUN
ejpam-6835	591	3	and	and	CCONJ
ejpam-6835	591	4	np	np	NOUN
ejpam-6835	591	5	-	-	NOUN
ejpam-6835	591	6	completeness	completeness	NOUN
ejpam-6835	591	7	.	.	PUNCT
ejpam-6835	591	8	1984	1984	NUM
ejpam-6835	591	9	.	.	PUNCT
ejpam-6835	592	1	[	[	X
ejpam-6835	592	2	30	30	NUM
ejpam-6835	592	3	]	]	X
ejpam-6835	592	4	andrew	andrew	PROPN
ejpam-6835	592	5	e	e	PROPN
ejpam-6835	592	6	caldwell	caldwell	PROPN
ejpam-6835	592	7	,	,	PUNCT
ejpam-6835	592	8	andrew	andrew	PROPN
ejpam-6835	592	9	b	b	PROPN
ejpam-6835	592	10	kahng	kahng	PROPN
ejpam-6835	592	11	,	,	PUNCT
ejpam-6835	592	12	and	and	CCONJ
ejpam-6835	592	13	igor	igor	PROPN
ejpam-6835	592	14	l	l	PROPN
ejpam-6835	592	15	markov	markov	PROPN
ejpam-6835	592	16	.	.	PUNCT
ejpam-6835	593	1	improved	improve	VERB
ejpam-6835	593	2	algorithms	algorithm	NOUN
ejpam-6835	593	3	for	for	ADP
ejpam-6835	593	4	hypergraph	hypergraph	NOUN
ejpam-6835	593	5	bipartitioning	bipartitioning	NOUN
ejpam-6835	593	6	.	.	PUNCT
ejpam-6835	594	1	in	in	ADP
ejpam-6835	594	2	proceedings	proceeding	NOUN
ejpam-6835	594	3	of	of	ADP
ejpam-6835	594	4	the	the	DET
ejpam-6835	594	5	2000	2000	NUM
ejpam-6835	594	6	asia	asia	PROPN
ejpam-6835	594	7	and	and	CCONJ
ejpam-6835	594	8	south	south	PROPN
ejpam-6835	594	9	pacific	pacific	PROPN
ejpam-6835	594	10	design	design	PROPN
ejpam-6835	594	11	automation	automation	NOUN
ejpam-6835	594	12	conference	conference	NOUN
ejpam-6835	594	13	,	,	PUNCT
ejpam-6835	594	14	pages	page	NOUN
ejpam-6835	594	15	661–666	661–666	NUM
ejpam-6835	594	16	,	,	PUNCT
ejpam-6835	594	17	2000	2000	NUM
ejpam-6835	594	18	.	.	PUNCT
ejpam-6835	595	1	[	[	X
ejpam-6835	595	2	31	31	NUM
ejpam-6835	595	3	]	]	PUNCT
ejpam-6835	595	4	julian	julian	PROPN
ejpam-6835	595	5	shun	shun	PROPN
ejpam-6835	595	6	.	.	PUNCT
ejpam-6835	596	1	practical	practical	ADJ
ejpam-6835	596	2	parallel	parallel	ADJ
ejpam-6835	596	3	hypergraph	hypergraph	NOUN
ejpam-6835	596	4	algorithms	algorithm	NOUN
ejpam-6835	596	5	.	.	PUNCT
ejpam-6835	597	1	in	in	ADP
ejpam-6835	597	2	proceedings	proceeding	NOUN
ejpam-6835	597	3	of	of	ADP
ejpam-6835	597	4	the	the	DET
ejpam-6835	597	5	25th	25th	ADJ
ejpam-6835	597	6	acm	acm	PROPN
ejpam-6835	597	7	sigplan	sigplan	NOUN
ejpam-6835	597	8	symposium	symposium	NOUN
ejpam-6835	597	9	on	on	ADP
ejpam-6835	597	10	principles	principle	NOUN
ejpam-6835	597	11	and	and	CCONJ
ejpam-6835	597	12	practice	practice	NOUN
ejpam-6835	597	13	of	of	ADP
ejpam-6835	597	14	parallel	parallel	ADJ
ejpam-6835	597	15	programming	programming	NOUN
ejpam-6835	597	16	,	,	PUNCT
ejpam-6835	597	17	pages	page	NOUN
ejpam-6835	597	18	232–249	232–249	NUM
ejpam-6835	597	19	,	,	PUNCT
ejpam-6835	597	20	2020	2020	NUM
ejpam-6835	597	21	.	.	PUNCT
ejpam-6835	598	1	[	[	X
ejpam-6835	598	2	32	32	NUM
ejpam-6835	598	3	]	]	X
ejpam-6835	598	4	paul	paul	PROPN
ejpam-6835	598	5	erdös	erdös	PROPN
ejpam-6835	598	6	.	.	PUNCT
ejpam-6835	599	1	graph	graph	NOUN
ejpam-6835	599	2	theory	theory	NOUN
ejpam-6835	599	3	and	and	CCONJ
ejpam-6835	599	4	probability	probability	NOUN
ejpam-6835	599	5	.	.	PUNCT
ejpam-6835	600	1	canadian	canadian	ADJ
ejpam-6835	600	2	journal	journal	PROPN
ejpam-6835	600	3	of	of	ADP
ejpam-6835	600	4	mathematics	mathematic	NOUN
ejpam-6835	600	5	,	,	PUNCT
ejpam-6835	600	6	11:34	11:34	NUM
ejpam-6835	600	7	–	–	PUNCT
ejpam-6835	600	8	38	38	NUM
ejpam-6835	600	9	,	,	PUNCT
ejpam-6835	600	10	1959	1959	NUM
ejpam-6835	600	11	.	.	PUNCT
ejpam-6835	601	1	[	[	X
ejpam-6835	601	2	33	33	NUM
ejpam-6835	601	3	]	]	X
ejpam-6835	601	4	paul	paul	PROPN
ejpam-6835	601	5	erdös	erdös	PROPN
ejpam-6835	601	6	.	.	PUNCT
ejpam-6835	602	1	graph	graph	NOUN
ejpam-6835	602	2	theory	theory	NOUN
ejpam-6835	602	3	and	and	CCONJ
ejpam-6835	602	4	probability	probability	NOUN
ejpam-6835	602	5	.	.	PUNCT
ejpam-6835	603	1	ii	ii	PROPN
ejpam-6835	603	2	.	.	PUNCT
ejpam-6835	604	1	canadian	canadian	PROPN
ejpam-6835	604	2	journal	journal	PROPN
ejpam-6835	604	3	of	of	ADP
ejpam-6835	604	4	mathematics	mathematic	NOUN
ejpam-6835	604	5	,	,	PUNCT
ejpam-6835	604	6	13:346–352	13:346–352	NUM
ejpam-6835	604	7	,	,	PUNCT
ejpam-6835	604	8	1961	1961	NUM
ejpam-6835	604	9	.	.	PUNCT
ejpam-6835	605	1	[	[	X
ejpam-6835	605	2	34	34	NUM
ejpam-6835	605	3	]	]	X
ejpam-6835	605	4	paul	paul	PROPN
ejpam-6835	605	5	w	w	PROPN
ejpam-6835	605	6	holland	holland	PROPN
ejpam-6835	605	7	and	and	CCONJ
ejpam-6835	605	8	samuel	samuel	PROPN
ejpam-6835	605	9	leinhardt	leinhardt	PROPN
ejpam-6835	605	10	.	.	PUNCT
ejpam-6835	606	1	an	an	DET
ejpam-6835	606	2	exponential	exponential	ADJ
ejpam-6835	606	3	family	family	NOUN
ejpam-6835	606	4	of	of	ADP
ejpam-6835	606	5	probability	probability	NOUN
ejpam-6835	606	6	distributions	distribution	NOUN
ejpam-6835	606	7	for	for	ADP
ejpam-6835	606	8	directed	direct	VERB
ejpam-6835	606	9	graphs	graph	NOUN
ejpam-6835	606	10	.	.	PUNCT
ejpam-6835	607	1	journal	journal	NOUN
ejpam-6835	607	2	of	of	ADP
ejpam-6835	607	3	the	the	DET
ejpam-6835	607	4	american	american	PROPN
ejpam-6835	607	5	statistical	statistical	PROPN
ejpam-6835	607	6	association	association	NOUN
ejpam-6835	607	7	,	,	PUNCT
ejpam-6835	607	8	76(373):33	76(373):33	NUM
ejpam-6835	607	9	–	–	PUNCT
ejpam-6835	607	10	50	50	NUM
ejpam-6835	607	11	,	,	PUNCT
ejpam-6835	607	12	1981	1981	NUM
ejpam-6835	607	13	.	.	PUNCT
ejpam-6835	608	1	[	[	X
ejpam-6835	608	2	35	35	NUM
ejpam-6835	608	3	]	]	X
ejpam-6835	608	4	trevor	trevor	PROPN
ejpam-6835	608	5	i.	i.	PROPN
ejpam-6835	608	6	fenner	fenner	PROPN
ejpam-6835	608	7	and	and	CCONJ
ejpam-6835	608	8	alan	alan	PROPN
ejpam-6835	608	9	m.	m.	PROPN
ejpam-6835	608	10	frieze	frieze	PROPN
ejpam-6835	608	11	.	.	PUNCT
ejpam-6835	609	1	on	on	ADP
ejpam-6835	609	2	the	the	DET
ejpam-6835	609	3	existence	existence	NOUN
ejpam-6835	609	4	of	of	ADP
ejpam-6835	609	5	hamiltonian	hamiltonian	ADJ
ejpam-6835	609	6	cycles	cycle	NOUN
ejpam-6835	609	7	in	in	ADP
ejpam-6835	609	8	a	a	DET
ejpam-6835	609	9	class	class	NOUN
ejpam-6835	609	10	of	of	ADP
ejpam-6835	609	11	random	random	ADJ
ejpam-6835	609	12	graphs	graph	NOUN
ejpam-6835	609	13	.	.	PUNCT
ejpam-6835	610	1	discret	discret	ADJ
ejpam-6835	610	2	.	.	PUNCT
ejpam-6835	610	3	math	math	NOUN
ejpam-6835	610	4	.	.	PUNCT
ejpam-6835	610	5	,	,	PUNCT
ejpam-6835	611	1	45:301–305	45:301–305	NOUN
ejpam-6835	611	2	,	,	PUNCT
ejpam-6835	611	3	1983	1983	NUM
ejpam-6835	611	4	.	.	PUNCT
ejpam-6835	612	1	[	[	X
ejpam-6835	612	2	36	36	NUM
ejpam-6835	612	3	]	]	PUNCT
ejpam-6835	612	4	rick	rick	PROPN
ejpam-6835	612	5	durrett	durrett	PROPN
ejpam-6835	612	6	.	.	PUNCT
ejpam-6835	613	1	rigorous	rigorous	ADJ
ejpam-6835	613	2	result	result	NOUN
ejpam-6835	613	3	for	for	ADP
ejpam-6835	613	4	the	the	DET
ejpam-6835	613	5	chkns	chkns	NOUN
ejpam-6835	613	6	random	random	ADJ
ejpam-6835	613	7	graph	graph	NOUN
ejpam-6835	613	8	model	model	NOUN
ejpam-6835	613	9	.	.	PUNCT
ejpam-6835	614	1	discrete	discrete	ADJ
ejpam-6835	614	2	mathematics	mathematics	PROPN
ejpam-6835	614	3	&	&	CCONJ
ejpam-6835	614	4	theoretical	theoretical	ADJ
ejpam-6835	614	5	computer	computer	NOUN
ejpam-6835	614	6	science	science	NOUN
ejpam-6835	614	7	,	,	PUNCT
ejpam-6835	614	8	(	(	PUNCT
ejpam-6835	614	9	proceedings	proceeding	NOUN
ejpam-6835	614	10	)	)	PUNCT
ejpam-6835	614	11	,	,	PUNCT
ejpam-6835	614	12	2003	2003	NUM
ejpam-6835	614	13	.	.	PUNCT
ejpam-6835	615	1	[	[	X
ejpam-6835	615	2	37	37	NUM
ejpam-6835	615	3	]	]	PUNCT
ejpam-6835	615	4	dan	dan	PROPN
ejpam-6835	615	5	archdeacon	archdeacon	PROPN
ejpam-6835	615	6	and	and	CCONJ
ejpam-6835	615	7	david	david	PROPN
ejpam-6835	615	8	a	a	DET
ejpam-6835	615	9	grable	grable	PROPN
ejpam-6835	615	10	.	.	PUNCT
ejpam-6835	616	1	the	the	DET
ejpam-6835	616	2	genus	genus	NOUN
ejpam-6835	616	3	of	of	ADP
ejpam-6835	616	4	a	a	DET
ejpam-6835	616	5	random	random	ADJ
ejpam-6835	616	6	graph	graph	NOUN
ejpam-6835	616	7	.	.	PUNCT
ejpam-6835	617	1	discrete	discrete	ADJ
ejpam-6835	617	2	mathematics	mathematic	NOUN
ejpam-6835	617	3	,	,	PUNCT
ejpam-6835	617	4	142(1	142(1	NUM
ejpam-6835	617	5	-	-	SYM
ejpam-6835	617	6	3):21–37	3):21–37	NUM
ejpam-6835	617	7	,	,	PUNCT
ejpam-6835	617	8	1995	1995	NUM
ejpam-6835	617	9	.	.	PUNCT
ejpam-6835	618	1	t.	t.	PROPN
ejpam-6835	618	2	fujita	fujita	PROPN
ejpam-6835	618	3	,	,	PUNCT
ejpam-6835	618	4	f.	f.	PROPN
ejpam-6835	618	5	smarandache	smarandache	PROPN
ejpam-6835	618	6	/	/	SYM
ejpam-6835	618	7	eur	eur	PROPN
ejpam-6835	618	8	.	.	PUNCT
ejpam-6835	619	1	j.	j.	PROPN
ejpam-6835	619	2	pure	pure	PROPN
ejpam-6835	619	3	appl	appl	PROPN
ejpam-6835	619	4	.	.	PROPN
ejpam-6835	619	5	math	math	PROPN
ejpam-6835	619	6	,	,	PUNCT
ejpam-6835	619	7	18	18	NUM
ejpam-6835	619	8	(	(	PUNCT
ejpam-6835	619	9	4	4	NUM
ejpam-6835	619	10	)	)	PUNCT
ejpam-6835	619	11	(	(	PUNCT
ejpam-6835	619	12	2025	2025	NUM
ejpam-6835	619	13	)	)	PUNCT
ejpam-6835	619	14	,	,	PUNCT
ejpam-6835	619	15	6835	6835	NUM
ejpam-6835	619	16	26	26	NUM
ejpam-6835	619	17	of	of	ADP
ejpam-6835	619	18	29	29	NUM
ejpam-6835	619	19	[	[	SYM
ejpam-6835	619	20	38	38	NUM
ejpam-6835	619	21	]	]	PUNCT
ejpam-6835	619	22	rick	rick	PROPN
ejpam-6835	619	23	durrett	durrett	PROPN
ejpam-6835	619	24	.	.	PUNCT
ejpam-6835	620	1	random	random	ADJ
ejpam-6835	620	2	graph	graph	NOUN
ejpam-6835	620	3	dynamics	dynamic	NOUN
ejpam-6835	620	4	,	,	PUNCT
ejpam-6835	620	5	volume	volume	NOUN
ejpam-6835	620	6	20	20	NUM
ejpam-6835	620	7	.	.	PUNCT
ejpam-6835	621	1	cambridge	cambridge	PROPN
ejpam-6835	621	2	university	university	PROPN
ejpam-6835	621	3	press	press	NOUN
ejpam-6835	621	4	,	,	PUNCT
ejpam-6835	621	5	2010	2010	NUM
ejpam-6835	621	6	.	.	PUNCT
ejpam-6835	622	1	[	[	X
ejpam-6835	622	2	39	39	NUM
ejpam-6835	622	3	]	]	PUNCT
ejpam-6835	622	4	gourab	gourab	NOUN
ejpam-6835	622	5	ghoshal	ghoshal	NOUN
ejpam-6835	622	6	,	,	PUNCT
ejpam-6835	622	7	vinko	vinko	NOUN
ejpam-6835	622	8	zlatic	zlatic	ADJ
ejpam-6835	622	9	,	,	PUNCT
ejpam-6835	622	10	guido	guido	NOUN
ejpam-6835	622	11	caldarelli	caldarelli	NOUN
ejpam-6835	622	12	,	,	PUNCT
ejpam-6835	622	13	and	and	CCONJ
ejpam-6835	622	14	mark	mark	PROPN
ejpam-6835	622	15	ej	ej	PROPN
ejpam-6835	622	16	newman	newman	PROPN
ejpam-6835	622	17	.	.	PUNCT
ejpam-6835	623	1	random	random	ADJ
ejpam-6835	623	2	hypergraphs	hypergraph	NOUN
ejpam-6835	623	3	and	and	CCONJ
ejpam-6835	623	4	their	their	PRON
ejpam-6835	623	5	applications	application	NOUN
ejpam-6835	623	6	.	.	PUNCT
ejpam-6835	624	1	physical	physical	ADJ
ejpam-6835	624	2	review	review	PROPN
ejpam-6835	624	3	estatistical	estatistical	ADJ
ejpam-6835	624	4	,	,	PUNCT
ejpam-6835	624	5	nonlinear	nonlinear	ADJ
ejpam-6835	624	6	,	,	PUNCT
ejpam-6835	624	7	and	and	CCONJ
ejpam-6835	624	8	soft	soft	ADJ
ejpam-6835	624	9	matter	matter	NOUN
ejpam-6835	624	10	physics	physics	NOUN
ejpam-6835	624	11	,	,	PUNCT
ejpam-6835	624	12	79(6):066118	79(6):066118	NUM
ejpam-6835	624	13	,	,	PUNCT
ejpam-6835	624	14	2009	2009	NUM
ejpam-6835	624	15	.	.	PUNCT
ejpam-6835	625	1	[	[	X
ejpam-6835	625	2	40	40	NUM
ejpam-6835	625	3	]	]	PUNCT
ejpam-6835	625	4	micha	micha	PROPN
ejpam-6835	625	5	l	l	PROPN
ejpam-6835	625	6	karoński	karoński	PROPN
ejpam-6835	625	7	and	and	CCONJ
ejpam-6835	625	8	tomasz	tomasz	PROPN
ejpam-6835	625	9	luczak	luczak	NOUN
ejpam-6835	625	10	.	.	PUNCT
ejpam-6835	626	1	the	the	DET
ejpam-6835	626	2	phase	phase	NOUN
ejpam-6835	626	3	transition	transition	NOUN
ejpam-6835	626	4	in	in	ADP
ejpam-6835	626	5	a	a	DET
ejpam-6835	626	6	random	random	ADJ
ejpam-6835	626	7	hypergraph	hypergraph	NOUN
ejpam-6835	626	8	.	.	PUNCT
ejpam-6835	627	1	journal	journal	NOUN
ejpam-6835	627	2	of	of	ADP
ejpam-6835	627	3	computational	computational	ADJ
ejpam-6835	627	4	and	and	CCONJ
ejpam-6835	627	5	applied	applied	ADJ
ejpam-6835	627	6	mathematics	mathematic	NOUN
ejpam-6835	627	7	,	,	PUNCT
ejpam-6835	627	8	142(1):125–135	142(1):125–135	NUM
ejpam-6835	627	9	,	,	PUNCT
ejpam-6835	627	10	2002	2002	NUM
ejpam-6835	627	11	.	.	PUNCT
ejpam-6835	628	1	[	[	X
ejpam-6835	628	2	41	41	NUM
ejpam-6835	628	3	]	]	X
ejpam-6835	628	4	philip	philip	PROPN
ejpam-6835	628	5	s	s	PROPN
ejpam-6835	628	6	chodrow	chodrow	NOUN
ejpam-6835	628	7	.	.	PUNCT
ejpam-6835	629	1	configuration	configuration	NOUN
ejpam-6835	629	2	models	model	NOUN
ejpam-6835	629	3	of	of	ADP
ejpam-6835	629	4	random	random	ADJ
ejpam-6835	629	5	hypergraphs	hypergraph	NOUN
ejpam-6835	629	6	.	.	PUNCT
ejpam-6835	630	1	journal	journal	NOUN
ejpam-6835	630	2	of	of	ADP
ejpam-6835	630	3	complex	complex	ADJ
ejpam-6835	630	4	networks	network	NOUN
ejpam-6835	630	5	,	,	PUNCT
ejpam-6835	630	6	8(3):cnaa018	8(3):cnaa018	NOUN
ejpam-6835	630	7	,	,	PUNCT
ejpam-6835	630	8	2020	2020	NUM
ejpam-6835	630	9	.	.	PUNCT
ejpam-6835	631	1	[	[	X
ejpam-6835	631	2	42	42	NUM
ejpam-6835	631	3	]	]	X
ejpam-6835	631	4	ralf	ralf	PROPN
ejpam-6835	631	5	borndörfer	borndörfer	PROPN
ejpam-6835	631	6	and	and	CCONJ
ejpam-6835	631	7	olga	olga	PROPN
ejpam-6835	631	8	heismann	heismann	PROPN
ejpam-6835	631	9	.	.	PUNCT
ejpam-6835	632	1	the	the	DET
ejpam-6835	632	2	random	random	ADJ
ejpam-6835	632	3	hypergraph	hypergraph	NOUN
ejpam-6835	632	4	assignment	assignment	NOUN
ejpam-6835	632	5	problem	problem	NOUN
ejpam-6835	632	6	.	.	PUNCT
ejpam-6835	633	1	informatica	informatica	PROPN
ejpam-6835	633	2	,	,	PUNCT
ejpam-6835	633	3	39(3	39(3	PROPN
ejpam-6835	633	4	)	)	PUNCT
ejpam-6835	633	5	,	,	PUNCT
ejpam-6835	633	6	2015	2015	NUM
ejpam-6835	633	7	.	.	PUNCT
ejpam-6835	634	1	[	[	X
ejpam-6835	634	2	43	43	NUM
ejpam-6835	634	3	]	]	X
ejpam-6835	634	4	amin	amin	PROPN
ejpam-6835	634	5	coja	coja	PROPN
ejpam-6835	634	6	-	-	PUNCT
ejpam-6835	634	7	oghlan	oghlan	NOUN
ejpam-6835	634	8	and	and	CCONJ
ejpam-6835	634	9	lenka	lenka	PROPN
ejpam-6835	634	10	zdeborová.	zdeborová.	PROPN
ejpam-6835	634	11	the	the	DET
ejpam-6835	634	12	condensation	condensation	NOUN
ejpam-6835	634	13	transition	transition	NOUN
ejpam-6835	634	14	in	in	ADP
ejpam-6835	634	15	random	random	ADJ
ejpam-6835	634	16	hypergraph	hypergraph	NOUN
ejpam-6835	634	17	2	2	NUM
ejpam-6835	634	18	-	-	PUNCT
ejpam-6835	634	19	coloring	coloring	NOUN
ejpam-6835	634	20	.	.	PUNCT
ejpam-6835	635	1	in	in	ADP
ejpam-6835	635	2	proceedings	proceeding	NOUN
ejpam-6835	635	3	of	of	ADP
ejpam-6835	635	4	the	the	DET
ejpam-6835	635	5	twenty	twenty	NUM
ejpam-6835	635	6	-	-	PUNCT
ejpam-6835	635	7	third	third	ADJ
ejpam-6835	635	8	annual	annual	ADJ
ejpam-6835	635	9	acm	acm	NOUN
ejpam-6835	635	10	-	-	PUNCT
ejpam-6835	635	11	siam	siam	NOUN
ejpam-6835	635	12	symposium	symposium	NOUN
ejpam-6835	635	13	on	on	ADP
ejpam-6835	635	14	discrete	discrete	ADJ
ejpam-6835	635	15	algorithms	algorithm	NOUN
ejpam-6835	635	16	,	,	PUNCT
ejpam-6835	635	17	pages	page	NOUN
ejpam-6835	635	18	241–250	241–250	NUM
ejpam-6835	635	19	.	.	PUNCT
ejpam-6835	636	1	siam	siam	PROPN
ejpam-6835	636	2	,	,	PUNCT
ejpam-6835	636	3	2012	2012	NUM
ejpam-6835	636	4	.	.	PUNCT
ejpam-6835	637	1	[	[	X
ejpam-6835	637	2	44	44	NUM
ejpam-6835	637	3	]	]	SYM
ejpam-6835	637	4	remco	remco	PROPN
ejpam-6835	637	5	van	van	PROPN
ejpam-6835	637	6	der	der	PROPN
ejpam-6835	637	7	hofstad	hofstad	NOUN
ejpam-6835	637	8	.	.	PUNCT
ejpam-6835	638	1	random	random	ADJ
ejpam-6835	638	2	graphs	graph	NOUN
ejpam-6835	638	3	and	and	CCONJ
ejpam-6835	638	4	complex	complex	ADJ
ejpam-6835	638	5	networks	network	NOUN
ejpam-6835	638	6	.	.	PUNCT
ejpam-6835	639	1	vol	vol	NOUN
ejpam-6835	639	2	.	.	PUNCT
ejpam-6835	640	1	i	i	PRON
ejpam-6835	640	2	,	,	PUNCT
ejpam-6835	640	3	2014	2014	NUM
ejpam-6835	640	4	.	.	PUNCT
ejpam-6835	641	1	[	[	X
ejpam-6835	641	2	45	45	NUM
ejpam-6835	641	3	]	]	X
ejpam-6835	641	4	mohsen	mohsen	PROPN
ejpam-6835	641	5	bayati	bayati	PROPN
ejpam-6835	641	6	,	,	PUNCT
ejpam-6835	641	7	jeong	jeong	PROPN
ejpam-6835	641	8	han	han	PROPN
ejpam-6835	641	9	kim	kim	PROPN
ejpam-6835	641	10	,	,	PUNCT
ejpam-6835	641	11	and	and	CCONJ
ejpam-6835	641	12	amin	amin	PROPN
ejpam-6835	641	13	saberi	saberi	PROPN
ejpam-6835	641	14	.	.	PUNCT
ejpam-6835	642	1	a	a	DET
ejpam-6835	642	2	sequential	sequential	ADJ
ejpam-6835	642	3	algorithm	algorithm	NOUN
ejpam-6835	642	4	for	for	ADP
ejpam-6835	642	5	generating	generate	VERB
ejpam-6835	642	6	random	random	ADJ
ejpam-6835	642	7	graphs	graph	NOUN
ejpam-6835	642	8	.	.	PUNCT
ejpam-6835	643	1	algorithmica	algorithmica	ADV
ejpam-6835	643	2	,	,	PUNCT
ejpam-6835	643	3	58:860–910	58:860–910	PROPN
ejpam-6835	643	4	,	,	PUNCT
ejpam-6835	643	5	2010	2010	NUM
ejpam-6835	643	6	.	.	PUNCT
ejpam-6835	644	1	[	[	X
ejpam-6835	644	2	46	46	NUM
ejpam-6835	644	3	]	]	SYM
ejpam-6835	644	4	min	min	PROPN
ejpam-6835	644	5	huang	huang	PROPN
ejpam-6835	644	6	,	,	PUNCT
ejpam-6835	644	7	fenghua	fenghua	PROPN
ejpam-6835	644	8	li	li	PROPN
ejpam-6835	644	9	,	,	PUNCT
ejpam-6835	644	10	et	et	PROPN
ejpam-6835	644	11	al	al	PROPN
ejpam-6835	644	12	.	.	PUNCT
ejpam-6835	644	13	optimizing	optimize	VERB
ejpam-6835	644	14	ai	ai	NOUN
ejpam-6835	644	15	-	-	PUNCT
ejpam-6835	644	16	driven	drive	VERB
ejpam-6835	644	17	digital	digital	ADJ
ejpam-6835	644	18	resources	resource	NOUN
ejpam-6835	644	19	in	in	ADP
ejpam-6835	644	20	vocational	vocational	ADJ
ejpam-6835	644	21	english	english	ADJ
ejpam-6835	644	22	learning	learning	NOUN
ejpam-6835	644	23	using	use	VERB
ejpam-6835	644	24	plithogenic	plithogenic	ADJ
ejpam-6835	644	25	n	n	CCONJ
ejpam-6835	644	26	-	-	PUNCT
ejpam-6835	644	27	superhypergraph	superhypergraph	NOUN
ejpam-6835	644	28	structures	structure	NOUN
ejpam-6835	644	29	for	for	ADP
ejpam-6835	644	30	adaptive	adaptive	ADJ
ejpam-6835	644	31	content	content	NOUN
ejpam-6835	644	32	recommendation	recommendation	NOUN
ejpam-6835	644	33	.	.	PUNCT
ejpam-6835	645	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	645	2	sets	set	NOUN
ejpam-6835	645	3	and	and	CCONJ
ejpam-6835	645	4	systems	system	NOUN
ejpam-6835	645	5	,	,	PUNCT
ejpam-6835	645	6	88:283–295	88:283–295	NUM
ejpam-6835	645	7	,	,	PUNCT
ejpam-6835	645	8	2025	2025	NUM
ejpam-6835	645	9	.	.	PUNCT
ejpam-6835	646	1	[	[	X
ejpam-6835	646	2	47	47	NUM
ejpam-6835	646	3	]	]	PUNCT
ejpam-6835	646	4	eduardo	eduardo	PROPN
ejpam-6835	646	5	mart́ın	mart́ın	AUX
ejpam-6835	646	6	campoverde	campoverde	VERB
ejpam-6835	646	7	valencia	valencia	PROPN
ejpam-6835	646	8	,	,	PUNCT
ejpam-6835	646	9	jessica	jessica	PROPN
ejpam-6835	646	10	paola	paola	PROPN
ejpam-6835	646	11	chuisaca	chuisaca	PROPN
ejpam-6835	646	12	vásquez	vásquez	PROPN
ejpam-6835	646	13	,	,	PUNCT
ejpam-6835	646	14	and	and	CCONJ
ejpam-6835	646	15	francisco	francisco	PROPN
ejpam-6835	646	16	ángel	ángel	PROPN
ejpam-6835	646	17	becerra	becerra	PROPN
ejpam-6835	646	18	lois	lois	PROPN
ejpam-6835	646	19	.	.	PUNCT
ejpam-6835	647	1	multineutrosophic	multineutrosophic	ADJ
ejpam-6835	647	2	analysis	analysis	NOUN
ejpam-6835	647	3	of	of	ADP
ejpam-6835	647	4	the	the	DET
ejpam-6835	647	5	relationship	relationship	NOUN
ejpam-6835	647	6	between	between	ADP
ejpam-6835	647	7	survival	survival	NOUN
ejpam-6835	647	8	and	and	CCONJ
ejpam-6835	647	9	business	business	NOUN
ejpam-6835	647	10	growth	growth	NOUN
ejpam-6835	647	11	in	in	ADP
ejpam-6835	647	12	the	the	DET
ejpam-6835	647	13	manufacturing	manufacturing	NOUN
ejpam-6835	647	14	sector	sector	NOUN
ejpam-6835	647	15	of	of	ADP
ejpam-6835	647	16	azuay	azuay	NOUN
ejpam-6835	647	17	province	province	NOUN
ejpam-6835	647	18	,	,	PUNCT
ejpam-6835	647	19	2020	2020	NUM
ejpam-6835	647	20	–	–	PUNCT
ejpam-6835	647	21	2023	2023	NUM
ejpam-6835	647	22	,	,	PUNCT
ejpam-6835	647	23	using	use	VERB
ejpam-6835	647	24	plithogenic	plithogenic	ADJ
ejpam-6835	647	25	n	n	CCONJ
ejpam-6835	647	26	-	-	PUNCT
ejpam-6835	647	27	superhypergraphs	superhypergraph	NOUN
ejpam-6835	647	28	.	.	PUNCT
ejpam-6835	648	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	648	2	sets	set	NOUN
ejpam-6835	648	3	and	and	CCONJ
ejpam-6835	648	4	systems	system	NOUN
ejpam-6835	648	5	,	,	PUNCT
ejpam-6835	648	6	84(1):28	84(1):28	NUM
ejpam-6835	648	7	,	,	PUNCT
ejpam-6835	648	8	2025	2025	NUM
ejpam-6835	648	9	.	.	PUNCT
ejpam-6835	649	1	[	[	X
ejpam-6835	649	2	48	48	NUM
ejpam-6835	649	3	]	]	PUNCT
ejpam-6835	649	4	melody	melody	NOUN
ejpam-6835	649	5	mae	mae	PROPN
ejpam-6835	649	6	cabigting	cabigting	NOUN
ejpam-6835	649	7	lunar	lunar	NOUN
ejpam-6835	649	8	and	and	CCONJ
ejpam-6835	649	9	renson	renson	NOUN
ejpam-6835	649	10	aguilar	aguilar	PROPN
ejpam-6835	649	11	robles	robles	PROPN
ejpam-6835	649	12	.	.	PUNCT
ejpam-6835	649	13	characterization	characterization	NOUN
ejpam-6835	649	14	and	and	CCONJ
ejpam-6835	649	15	structure	structure	NOUN
ejpam-6835	649	16	of	of	ADP
ejpam-6835	649	17	a	a	DET
ejpam-6835	649	18	power	power	NOUN
ejpam-6835	649	19	set	set	NOUN
ejpam-6835	649	20	graph	graph	NOUN
ejpam-6835	649	21	.	.	PUNCT
ejpam-6835	650	1	international	international	ADJ
ejpam-6835	650	2	journal	journal	NOUN
ejpam-6835	650	3	of	of	ADP
ejpam-6835	650	4	advanced	advanced	ADJ
ejpam-6835	650	5	research	research	NOUN
ejpam-6835	650	6	and	and	CCONJ
ejpam-6835	650	7	publications	publication	NOUN
ejpam-6835	650	8	,	,	PUNCT
ejpam-6835	650	9	3(6):1–4	3(6):1–4	NOUN
ejpam-6835	650	10	,	,	PUNCT
ejpam-6835	650	11	2019	2019	NUM
ejpam-6835	650	12	.	.	PUNCT
ejpam-6835	651	1	[	[	X
ejpam-6835	651	2	49	49	NUM
ejpam-6835	651	3	]	]	X
ejpam-6835	651	4	ma	ma	PROPN
ejpam-6835	651	5	shalu	shalu	PROPN
ejpam-6835	651	6	and	and	CCONJ
ejpam-6835	651	7	s	s	PROPN
ejpam-6835	651	8	devi	devi	PROPN
ejpam-6835	651	9	yamini	yamini	PROPN
ejpam-6835	651	10	.	.	PUNCT
ejpam-6835	652	1	counting	count	VERB
ejpam-6835	652	2	maximal	maximal	ADJ
ejpam-6835	652	3	independent	independent	ADJ
ejpam-6835	652	4	sets	set	NOUN
ejpam-6835	652	5	in	in	ADP
ejpam-6835	652	6	power	power	NOUN
ejpam-6835	652	7	set	set	NOUN
ejpam-6835	652	8	graphs	graph	NOUN
ejpam-6835	652	9	.	.	PUNCT
ejpam-6835	653	1	indian	indian	PROPN
ejpam-6835	653	2	institute	institute	PROPN
ejpam-6835	653	3	of	of	ADP
ejpam-6835	653	4	information	information	NOUN
ejpam-6835	653	5	technology	technology	NOUN
ejpam-6835	653	6	design	design	NOUN
ejpam-6835	653	7	&	&	CCONJ
ejpam-6835	653	8	manufacturing	manufacturing	PROPN
ejpam-6835	653	9	(	(	PUNCT
ejpam-6835	653	10	iiitd&m	iiitd&m	PROPN
ejpam-6835	653	11	)	)	PUNCT
ejpam-6835	653	12	kancheepuram	kancheepuram	PROPN
ejpam-6835	653	13	,	,	PUNCT
ejpam-6835	653	14	india	india	PROPN
ejpam-6835	653	15	,	,	PUNCT
ejpam-6835	653	16	2014	2014	NUM
ejpam-6835	653	17	.	.	PUNCT
ejpam-6835	654	1	[	[	X
ejpam-6835	654	2	50	50	NUM
ejpam-6835	654	3	]	]	PUNCT
ejpam-6835	654	4	florentin	florentin	PROPN
ejpam-6835	654	5	smarandache	smarandache	PROPN
ejpam-6835	654	6	.	.	PUNCT
ejpam-6835	655	1	foundation	foundation	NOUN
ejpam-6835	655	2	of	of	ADP
ejpam-6835	655	3	revolutionary	revolutionary	ADJ
ejpam-6835	655	4	topologies	topology	NOUN
ejpam-6835	655	5	:	:	PUNCT
ejpam-6835	655	6	an	an	DET
ejpam-6835	655	7	overview	overview	NOUN
ejpam-6835	655	8	,	,	PUNCT
ejpam-6835	655	9	examples	example	NOUN
ejpam-6835	655	10	,	,	PUNCT
ejpam-6835	655	11	trend	trend	NOUN
ejpam-6835	655	12	analysis	analysis	NOUN
ejpam-6835	655	13	,	,	PUNCT
ejpam-6835	655	14	research	research	NOUN
ejpam-6835	655	15	issues	issue	NOUN
ejpam-6835	655	16	,	,	PUNCT
ejpam-6835	655	17	challenges	challenge	NOUN
ejpam-6835	655	18	,	,	PUNCT
ejpam-6835	655	19	and	and	CCONJ
ejpam-6835	655	20	future	future	ADJ
ejpam-6835	655	21	directions	direction	NOUN
ejpam-6835	655	22	.	.	PUNCT
ejpam-6835	656	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	656	2	systems	system	NOUN
ejpam-6835	656	3	with	with	ADP
ejpam-6835	656	4	applications	application	NOUN
ejpam-6835	656	5	,	,	PUNCT
ejpam-6835	656	6	13:45–66	13:45–66	NUM
ejpam-6835	656	7	,	,	PUNCT
ejpam-6835	656	8	2024	2024	NUM
ejpam-6835	656	9	.	.	PUNCT
ejpam-6835	657	1	[	[	X
ejpam-6835	657	2	51	51	NUM
ejpam-6835	657	3	]	]	PUNCT
ejpam-6835	657	4	florentin	florentin	NOUN
ejpam-6835	657	5	smarandache	smarandache	NOUN
ejpam-6835	657	6	.	.	PUNCT
ejpam-6835	658	1	history	history	NOUN
ejpam-6835	658	2	of	of	ADP
ejpam-6835	658	3	superhyperalgebra	superhyperalgebra	NOUN
ejpam-6835	658	4	and	and	CCONJ
ejpam-6835	658	5	neutrosophic	neutrosophic	ADJ
ejpam-6835	658	6	superhyperalgebra	superhyperalgebra	NOUN
ejpam-6835	658	7	(	(	PUNCT
ejpam-6835	658	8	revisited	revisit	VERB
ejpam-6835	658	9	again	again	ADV
ejpam-6835	658	10	)	)	PUNCT
ejpam-6835	658	11	.	.	PUNCT
ejpam-6835	659	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	659	2	algebraic	algebraic	ADJ
ejpam-6835	659	3	structures	structure	NOUN
ejpam-6835	659	4	and	and	CCONJ
ejpam-6835	659	5	their	their	PRON
ejpam-6835	659	6	applications	application	NOUN
ejpam-6835	659	7	,	,	PUNCT
ejpam-6835	659	8	page	page	NOUN
ejpam-6835	659	9	10	10	NUM
ejpam-6835	659	10	,	,	PUNCT
ejpam-6835	659	11	2022	2022	NUM
ejpam-6835	659	12	.	.	PUNCT
ejpam-6835	660	1	[	[	X
ejpam-6835	660	2	52	52	NUM
ejpam-6835	660	3	]	]	PUNCT
ejpam-6835	660	4	florentin	florentin	PROPN
ejpam-6835	660	5	smarandache	smarandache	PROPN
ejpam-6835	660	6	.	.	PUNCT
ejpam-6835	661	1	foundation	foundation	NOUN
ejpam-6835	661	2	of	of	ADP
ejpam-6835	661	3	superhyperstructure	superhyperstructure	PROPN
ejpam-6835	661	4	&	&	CCONJ
ejpam-6835	661	5	neutrosophic	neutrosophic	ADJ
ejpam-6835	661	6	superhyperstructure	superhyperstructure	NOUN
ejpam-6835	661	7	.	.	PUNCT
ejpam-6835	662	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	662	2	sets	set	NOUN
ejpam-6835	662	3	and	and	CCONJ
ejpam-6835	662	4	systems	system	NOUN
ejpam-6835	662	5	,	,	PUNCT
ejpam-6835	662	6	63(1):21	63(1):21	NUM
ejpam-6835	662	7	,	,	PUNCT
ejpam-6835	662	8	2024	2024	NUM
ejpam-6835	662	9	.	.	PUNCT
ejpam-6835	663	1	[	[	X
ejpam-6835	663	2	53	53	NUM
ejpam-6835	663	3	]	]	PUNCT
ejpam-6835	663	4	adel	adel	PROPN
ejpam-6835	663	5	al	al	PROPN
ejpam-6835	663	6	-	-	PUNCT
ejpam-6835	663	7	odhari	odhari	PROPN
ejpam-6835	663	8	.	.	PUNCT
ejpam-6835	664	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	664	2	power	power	NOUN
ejpam-6835	664	3	-	-	PUNCT
ejpam-6835	664	4	set	set	VERB
ejpam-6835	664	5	and	and	CCONJ
ejpam-6835	664	6	neutrosophic	neutrosophic	ADJ
ejpam-6835	664	7	hyper	hyper	NOUN
ejpam-6835	664	8	-	-	NOUN
ejpam-6835	664	9	structure	structure	NOUN
ejpam-6835	664	10	of	of	ADP
ejpam-6835	664	11	neutrosophic	neutrosophic	ADJ
ejpam-6835	664	12	set	set	NOUN
ejpam-6835	664	13	of	of	ADP
ejpam-6835	664	14	three	three	NUM
ejpam-6835	664	15	types	type	NOUN
ejpam-6835	664	16	.	.	PUNCT
ejpam-6835	665	1	annals	annal	NOUN
ejpam-6835	665	2	of	of	ADP
ejpam-6835	665	3	pure	pure	ADJ
ejpam-6835	665	4	and	and	CCONJ
ejpam-6835	665	5	applied	applied	ADJ
ejpam-6835	665	6	mathematics	mathematic	NOUN
ejpam-6835	665	7	,	,	PUNCT
ejpam-6835	665	8	31(2):125–146	31(2):125–146	PROPN
ejpam-6835	665	9	,	,	PUNCT
ejpam-6835	665	10	2025	2025	NUM
ejpam-6835	665	11	.	.	PUNCT
ejpam-6835	666	1	[	[	X
ejpam-6835	666	2	54	54	NUM
ejpam-6835	666	3	]	]	X
ejpam-6835	666	4	ajoy	ajoy	PROPN
ejpam-6835	666	5	kanti	kanti	PROPN
ejpam-6835	666	6	das	das	PROPN
ejpam-6835	666	7	,	,	PUNCT
ejpam-6835	666	8	rajat	rajat	PROPN
ejpam-6835	666	9	das	das	PROPN
ejpam-6835	666	10	,	,	PUNCT
ejpam-6835	666	11	suman	suman	PROPN
ejpam-6835	666	12	das	das	PROPN
ejpam-6835	666	13	,	,	PUNCT
ejpam-6835	666	14	bijoy	bijoy	PROPN
ejpam-6835	666	15	krishna	krishna	PROPN
ejpam-6835	666	16	debnath	debnath	PROPN
ejpam-6835	666	17	,	,	PUNCT
ejpam-6835	666	18	carlos	carlos	PROPN
ejpam-6835	666	19	granados	granados	PROPN
ejpam-6835	666	20	,	,	PUNCT
ejpam-6835	666	21	bimal	bimal	ADJ
ejpam-6835	666	22	shil	shil	NOUN
ejpam-6835	666	23	,	,	PUNCT
ejpam-6835	666	24	and	and	CCONJ
ejpam-6835	666	25	rakhal	rakhal	VERB
ejpam-6835	666	26	das	das	PROPN
ejpam-6835	666	27	.	.	PUNCT
ejpam-6835	667	1	a	a	DET
ejpam-6835	667	2	comprehensive	comprehensive	ADJ
ejpam-6835	667	3	study	study	NOUN
ejpam-6835	667	4	of	of	ADP
ejpam-6835	667	5	neutrosophic	neutrosophic	ADJ
ejpam-6835	667	6	superhyper	superhyper	PROPN
ejpam-6835	667	7	bcit	bcit	PROPN
ejpam-6835	667	8	.	.	PROPN
ejpam-6835	667	9	fujita	fujita	PROPN
ejpam-6835	667	10	,	,	PUNCT
ejpam-6835	667	11	f.	f.	PROPN
ejpam-6835	667	12	smarandache	smarandache	PROPN
ejpam-6835	667	13	/	/	SYM
ejpam-6835	667	14	eur	eur	PROPN
ejpam-6835	667	15	.	.	PUNCT
ejpam-6835	668	1	j.	j.	PROPN
ejpam-6835	668	2	pure	pure	PROPN
ejpam-6835	668	3	appl	appl	PROPN
ejpam-6835	668	4	.	.	PROPN
ejpam-6835	668	5	math	math	PROPN
ejpam-6835	668	6	,	,	PUNCT
ejpam-6835	668	7	18	18	NUM
ejpam-6835	668	8	(	(	PUNCT
ejpam-6835	668	9	4	4	NUM
ejpam-6835	668	10	)	)	PUNCT
ejpam-6835	668	11	(	(	PUNCT
ejpam-6835	668	12	2025	2025	NUM
ejpam-6835	668	13	)	)	PUNCT
ejpam-6835	668	14	,	,	PUNCT
ejpam-6835	668	15	6835	6835	NUM
ejpam-6835	668	16	27	27	NUM
ejpam-6835	668	17	of	of	ADP
ejpam-6835	668	18	29	29	NUM
ejpam-6835	668	19	semigroups	semigroup	NOUN
ejpam-6835	668	20	and	and	CCONJ
ejpam-6835	668	21	their	their	PRON
ejpam-6835	668	22	algebraic	algebraic	ADJ
ejpam-6835	668	23	significance	significance	NOUN
ejpam-6835	668	24	.	.	PUNCT
ejpam-6835	669	1	transactions	transaction	NOUN
ejpam-6835	669	2	on	on	ADP
ejpam-6835	669	3	fuzzy	fuzzy	ADJ
ejpam-6835	669	4	sets	set	NOUN
ejpam-6835	669	5	and	and	CCONJ
ejpam-6835	669	6	systems	system	NOUN
ejpam-6835	669	7	,	,	PUNCT
ejpam-6835	669	8	8(2):80	8(2):80	NUM
ejpam-6835	669	9	,	,	PUNCT
ejpam-6835	669	10	2025	2025	NUM
ejpam-6835	669	11	.	.	PUNCT
ejpam-6835	670	1	[	[	X
ejpam-6835	670	2	55	55	NUM
ejpam-6835	670	3	]	]	PUNCT
ejpam-6835	670	4	florentin	florentin	PROPN
ejpam-6835	670	5	smarandache	smarandache	NOUN
ejpam-6835	670	6	.	.	PUNCT
ejpam-6835	671	1	extension	extension	NOUN
ejpam-6835	671	2	of	of	ADP
ejpam-6835	671	3	hyperalgebra	hyperalgebra	NOUN
ejpam-6835	671	4	to	to	ADP
ejpam-6835	671	5	superhyperalgebra	superhyperalgebra	NOUN
ejpam-6835	671	6	and	and	CCONJ
ejpam-6835	671	7	neutrosophic	neutrosophic	ADJ
ejpam-6835	671	8	superhyperalgebra	superhyperalgebra	NOUN
ejpam-6835	671	9	(	(	PUNCT
ejpam-6835	671	10	revisited	revisit	VERB
ejpam-6835	671	11	)	)	PUNCT
ejpam-6835	671	12	.	.	PUNCT
ejpam-6835	672	1	in	in	ADP
ejpam-6835	672	2	international	international	ADJ
ejpam-6835	672	3	conference	conference	NOUN
ejpam-6835	672	4	on	on	ADP
ejpam-6835	672	5	computers	computer	NOUN
ejpam-6835	672	6	communications	communication	NOUN
ejpam-6835	672	7	and	and	CCONJ
ejpam-6835	672	8	control	control	NOUN
ejpam-6835	672	9	,	,	PUNCT
ejpam-6835	672	10	pages	page	NOUN
ejpam-6835	672	11	427–432	427–432	NUM
ejpam-6835	672	12	.	.	PUNCT
ejpam-6835	672	13	springer	springer	NOUN
ejpam-6835	672	14	,	,	PUNCT
ejpam-6835	672	15	2022	2022	NUM
ejpam-6835	672	16	.	.	PUNCT
ejpam-6835	673	1	[	[	X
ejpam-6835	673	2	56	56	NUM
ejpam-6835	673	3	]	]	PUNCT
ejpam-6835	673	4	alain	alain	PROPN
ejpam-6835	673	5	bretto	bretto	PROPN
ejpam-6835	673	6	.	.	PUNCT
ejpam-6835	674	1	hypergraph	hypergraph	PROPN
ejpam-6835	674	2	theory	theory	NOUN
ejpam-6835	674	3	.	.	PUNCT
ejpam-6835	675	1	an	an	DET
ejpam-6835	675	2	introduction	introduction	NOUN
ejpam-6835	675	3	.	.	PUNCT
ejpam-6835	676	1	mathematical	mathematical	ADJ
ejpam-6835	676	2	engineering	engineering	NOUN
ejpam-6835	676	3	.	.	PUNCT
ejpam-6835	677	1	cham	cham	PROPN
ejpam-6835	677	2	:	:	PUNCT
ejpam-6835	677	3	springer	springer	NOUN
ejpam-6835	677	4	,	,	PUNCT
ejpam-6835	677	5	1	1	NUM
ejpam-6835	677	6	,	,	PUNCT
ejpam-6835	677	7	2013	2013	NUM
ejpam-6835	677	8	.	.	PUNCT
ejpam-6835	678	1	[	[	X
ejpam-6835	678	2	57	57	NUM
ejpam-6835	678	3	]	]	PUNCT
ejpam-6835	678	4	jános	jános	PROPN
ejpam-6835	678	5	komlós	komlós	PROPN
ejpam-6835	678	6	and	and	CCONJ
ejpam-6835	678	7	endre	endre	PROPN
ejpam-6835	678	8	szemerédi	szemerédi	PROPN
ejpam-6835	678	9	.	.	PUNCT
ejpam-6835	679	1	limit	limit	VERB
ejpam-6835	679	2	distribution	distribution	NOUN
ejpam-6835	679	3	for	for	ADP
ejpam-6835	679	4	the	the	DET
ejpam-6835	679	5	existence	existence	NOUN
ejpam-6835	679	6	of	of	ADP
ejpam-6835	679	7	hamiltonian	hamiltonian	ADJ
ejpam-6835	679	8	cycles	cycle	NOUN
ejpam-6835	679	9	in	in	ADP
ejpam-6835	679	10	a	a	DET
ejpam-6835	679	11	random	random	ADJ
ejpam-6835	679	12	graph	graph	NOUN
ejpam-6835	679	13	.	.	PUNCT
ejpam-6835	680	1	discrete	discrete	ADJ
ejpam-6835	680	2	mathematics	mathematic	NOUN
ejpam-6835	680	3	,	,	PUNCT
ejpam-6835	680	4	43(1):55–63	43(1):55–63	NUM
ejpam-6835	680	5	,	,	PUNCT
ejpam-6835	680	6	1983	1983	NUM
ejpam-6835	680	7	.	.	PUNCT
ejpam-6835	681	1	[	[	X
ejpam-6835	681	2	58	58	NUM
ejpam-6835	681	3	]	]	PUNCT
ejpam-6835	681	4	krystyna	krystyna	PROPN
ejpam-6835	681	5	t	t	PROPN
ejpam-6835	681	6	balińska	balińska	NOUN
ejpam-6835	681	7	and	and	CCONJ
ejpam-6835	681	8	louis	louis	PROPN
ejpam-6835	681	9	v	v	NUM
ejpam-6835	681	10	quintas	quinta	NOUN
ejpam-6835	681	11	.	.	PUNCT
ejpam-6835	682	1	the	the	DET
ejpam-6835	682	2	random	random	ADJ
ejpam-6835	682	3	f	f	NOUN
ejpam-6835	682	4	-	-	PUNCT
ejpam-6835	682	5	graph	graph	NOUN
ejpam-6835	682	6	process	process	NOUN
ejpam-6835	682	7	.	.	PUNCT
ejpam-6835	683	1	in	in	ADP
ejpam-6835	683	2	annals	annal	NOUN
ejpam-6835	683	3	of	of	ADP
ejpam-6835	683	4	discrete	discrete	ADJ
ejpam-6835	683	5	mathematics	mathematic	NOUN
ejpam-6835	683	6	,	,	PUNCT
ejpam-6835	683	7	volume	volume	NOUN
ejpam-6835	683	8	55	55	NUM
ejpam-6835	683	9	,	,	PUNCT
ejpam-6835	683	10	pages	page	NOUN
ejpam-6835	683	11	333–339	333–339	NUM
ejpam-6835	683	12	.	.	PUNCT
ejpam-6835	683	13	elsevier	elsevier	NOUN
ejpam-6835	683	14	,	,	PUNCT
ejpam-6835	683	15	1993	1993	NUM
ejpam-6835	683	16	.	.	PUNCT
ejpam-6835	684	1	[	[	X
ejpam-6835	684	2	59	59	NUM
ejpam-6835	684	3	]	]	PUNCT
ejpam-6835	684	4	lotfi	lotfi	X
ejpam-6835	684	5	a	a	DET
ejpam-6835	684	6	zadeh	zadeh	PROPN
ejpam-6835	684	7	.	.	PUNCT
ejpam-6835	684	8	fuzzy	fuzzy	ADJ
ejpam-6835	684	9	sets	set	NOUN
ejpam-6835	684	10	.	.	PUNCT
ejpam-6835	685	1	information	information	NOUN
ejpam-6835	685	2	and	and	CCONJ
ejpam-6835	685	3	control	control	NOUN
ejpam-6835	685	4	,	,	PUNCT
ejpam-6835	685	5	8(3):338–353	8(3):338–353	NUM
ejpam-6835	685	6	,	,	PUNCT
ejpam-6835	685	7	1965	1965	NUM
ejpam-6835	685	8	.	.	PUNCT
ejpam-6835	686	1	[	[	X
ejpam-6835	686	2	60	60	NUM
ejpam-6835	686	3	]	]	X
ejpam-6835	686	4	muhammad	muhammad	PROPN
ejpam-6835	686	5	akram	akram	PROPN
ejpam-6835	686	6	,	,	PUNCT
ejpam-6835	686	7	bijan	bijan	PROPN
ejpam-6835	686	8	davvaz	davvaz	NOUN
ejpam-6835	686	9	,	,	PUNCT
ejpam-6835	686	10	and	and	CCONJ
ejpam-6835	686	11	feng	feng	PROPN
ejpam-6835	686	12	feng	feng	PROPN
ejpam-6835	686	13	.	.	PUNCT
ejpam-6835	687	1	intuitionistic	intuitionistic	ADJ
ejpam-6835	687	2	fuzzy	fuzzy	ADJ
ejpam-6835	687	3	soft	soft	ADJ
ejpam-6835	687	4	k	k	NOUN
ejpam-6835	687	5	-	-	PUNCT
ejpam-6835	687	6	algebras	algebra	NOUN
ejpam-6835	687	7	.	.	PUNCT
ejpam-6835	688	1	mathematics	mathematic	NOUN
ejpam-6835	688	2	in	in	ADP
ejpam-6835	688	3	computer	computer	NOUN
ejpam-6835	688	4	science	science	NOUN
ejpam-6835	688	5	,	,	PUNCT
ejpam-6835	688	6	7:353–365	7:353–365	PROPN
ejpam-6835	688	7	,	,	PUNCT
ejpam-6835	688	8	2013	2013	NUM
ejpam-6835	688	9	.	.	PUNCT
ejpam-6835	689	1	[	[	X
ejpam-6835	689	2	61	61	NUM
ejpam-6835	689	3	]	]	PUNCT
ejpam-6835	689	4	krassimir	krassimir	PROPN
ejpam-6835	689	5	t	t	PROPN
ejpam-6835	689	6	atanassov	atanassov	NOUN
ejpam-6835	689	7	.	.	PUNCT
ejpam-6835	690	1	circular	circular	ADJ
ejpam-6835	690	2	intuitionistic	intuitionistic	ADJ
ejpam-6835	690	3	fuzzy	fuzzy	ADJ
ejpam-6835	690	4	sets	set	NOUN
ejpam-6835	690	5	.	.	PUNCT
ejpam-6835	691	1	journal	journal	NOUN
ejpam-6835	691	2	of	of	ADP
ejpam-6835	691	3	intelligent	intelligent	ADJ
ejpam-6835	691	4	&	&	CCONJ
ejpam-6835	691	5	fuzzy	fuzzy	ADJ
ejpam-6835	691	6	systems	system	NOUN
ejpam-6835	691	7	,	,	PUNCT
ejpam-6835	691	8	39(5):5981–5986	39(5):5981–5986	NUM
ejpam-6835	691	9	,	,	PUNCT
ejpam-6835	691	10	2020	2020	NUM
ejpam-6835	691	11	.	.	PUNCT
ejpam-6835	692	1	[	[	X
ejpam-6835	692	2	62	62	NUM
ejpam-6835	692	3	]	]	SYM
ejpam-6835	692	4	w	w	NOUN
ejpam-6835	692	5	-	-	PUNCT
ejpam-6835	692	6	l	l	NOUN
ejpam-6835	692	7	gau	gau	NOUN
ejpam-6835	692	8	and	and	CCONJ
ejpam-6835	692	9	daniel	daniel	PROPN
ejpam-6835	692	10	j	j	PROPN
ejpam-6835	692	11	buehrer	buehrer	PROPN
ejpam-6835	692	12	.	.	PUNCT
ejpam-6835	693	1	vague	vague	ADJ
ejpam-6835	693	2	sets	set	NOUN
ejpam-6835	693	3	.	.	PUNCT
ejpam-6835	694	1	ieee	ieee	NOUN
ejpam-6835	694	2	transactions	transaction	NOUN
ejpam-6835	694	3	on	on	ADP
ejpam-6835	694	4	systems	system	NOUN
ejpam-6835	694	5	,	,	PUNCT
ejpam-6835	694	6	man	man	NOUN
ejpam-6835	694	7	,	,	PUNCT
ejpam-6835	694	8	and	and	CCONJ
ejpam-6835	694	9	cybernetics	cybernetic	NOUN
ejpam-6835	694	10	,	,	PUNCT
ejpam-6835	694	11	23(2):610–614	23(2):610–614	NUM
ejpam-6835	694	12	,	,	PUNCT
ejpam-6835	694	13	1993	1993	NUM
ejpam-6835	694	14	.	.	PUNCT
ejpam-6835	695	1	[	[	X
ejpam-6835	695	2	63	63	NUM
ejpam-6835	695	3	]	]	PUNCT
ejpam-6835	695	4	vicenç	vicenç	PROPN
ejpam-6835	695	5	torra	torra	VERB
ejpam-6835	695	6	and	and	CCONJ
ejpam-6835	695	7	yasuo	yasuo	NOUN
ejpam-6835	695	8	narukawa	narukawa	NOUN
ejpam-6835	695	9	.	.	PUNCT
ejpam-6835	696	1	on	on	ADP
ejpam-6835	696	2	hesitant	hesitant	ADJ
ejpam-6835	696	3	fuzzy	fuzzy	ADJ
ejpam-6835	696	4	sets	set	NOUN
ejpam-6835	696	5	and	and	CCONJ
ejpam-6835	696	6	decision	decision	NOUN
ejpam-6835	696	7	.	.	PUNCT
ejpam-6835	697	1	in	in	ADP
ejpam-6835	697	2	2009	2009	NUM
ejpam-6835	697	3	ieee	ieee	NOUN
ejpam-6835	697	4	international	international	ADJ
ejpam-6835	697	5	conference	conference	NOUN
ejpam-6835	697	6	on	on	ADP
ejpam-6835	697	7	fuzzy	fuzzy	ADJ
ejpam-6835	697	8	systems	system	NOUN
ejpam-6835	697	9	,	,	PUNCT
ejpam-6835	697	10	pages	page	NOUN
ejpam-6835	697	11	1378–1382	1378–1382	NUM
ejpam-6835	697	12	.	.	PUNCT
ejpam-6835	698	1	ieee	ieee	PROPN
ejpam-6835	698	2	,	,	PUNCT
ejpam-6835	698	3	2009	2009	NUM
ejpam-6835	698	4	.	.	PUNCT
ejpam-6835	699	1	[	[	X
ejpam-6835	699	2	64	64	NUM
ejpam-6835	699	3	]	]	X
ejpam-6835	699	4	vicenç	vicenç	PROPN
ejpam-6835	699	5	torra	torra	VERB
ejpam-6835	699	6	.	.	PUNCT
ejpam-6835	700	1	hesitant	hesitant	ADJ
ejpam-6835	700	2	fuzzy	fuzzy	ADJ
ejpam-6835	700	3	sets	set	NOUN
ejpam-6835	700	4	.	.	PUNCT
ejpam-6835	701	1	international	international	ADJ
ejpam-6835	701	2	journal	journal	NOUN
ejpam-6835	701	3	of	of	ADP
ejpam-6835	701	4	intelligent	intelligent	ADJ
ejpam-6835	701	5	systems	system	NOUN
ejpam-6835	701	6	,	,	PUNCT
ejpam-6835	701	7	25(6):529–539	25(6):529–539	NOUN
ejpam-6835	701	8	,	,	PUNCT
ejpam-6835	701	9	2010	2010	NUM
ejpam-6835	701	10	.	.	PUNCT
ejpam-6835	702	1	[	[	X
ejpam-6835	702	2	65	65	NUM
ejpam-6835	702	3	]	]	X
ejpam-6835	702	4	jayanta	jayanta	PROPN
ejpam-6835	702	5	ghosh	ghosh	PROPN
ejpam-6835	702	6	and	and	CCONJ
ejpam-6835	702	7	tapas	tapas	PROPN
ejpam-6835	702	8	kumar	kumar	PROPN
ejpam-6835	702	9	samanta	samanta	PROPN
ejpam-6835	702	10	.	.	PUNCT
ejpam-6835	703	1	hyperfuzzy	hyperfuzzy	PROPN
ejpam-6835	703	2	sets	set	NOUN
ejpam-6835	703	3	and	and	CCONJ
ejpam-6835	703	4	hyperfuzzy	hyperfuzzy	NOUN
ejpam-6835	703	5	group	group	NOUN
ejpam-6835	703	6	.	.	PUNCT
ejpam-6835	704	1	int	int	NOUN
ejpam-6835	704	2	.	.	PUNCT
ejpam-6835	705	1	j.	j.	PROPN
ejpam-6835	705	2	adv	adv	PROPN
ejpam-6835	705	3	.	.	PUNCT
ejpam-6835	706	1	sci	sci	PROPN
ejpam-6835	706	2	.	.	PROPN
ejpam-6835	706	3	technol	technol	PROPN
ejpam-6835	706	4	,	,	PUNCT
ejpam-6835	706	5	41:27–37	41:27–37	PROPN
ejpam-6835	706	6	,	,	PUNCT
ejpam-6835	706	7	2012	2012	NUM
ejpam-6835	706	8	.	.	PUNCT
ejpam-6835	707	1	[	[	X
ejpam-6835	707	2	66	66	NUM
ejpam-6835	707	3	]	]	PUNCT
ejpam-6835	707	4	yong	yong	PROPN
ejpam-6835	707	5	lin	lin	PROPN
ejpam-6835	707	6	liu	liu	PROPN
ejpam-6835	707	7	,	,	PUNCT
ejpam-6835	707	8	hee	hee	PROPN
ejpam-6835	707	9	sik	sik	CCONJ
ejpam-6835	707	10	kim	kim	PROPN
ejpam-6835	707	11	,	,	PUNCT
ejpam-6835	707	12	and	and	CCONJ
ejpam-6835	707	13	j.	j.	PROPN
ejpam-6835	707	14	neggers	neggers	PROPN
ejpam-6835	707	15	.	.	PUNCT
ejpam-6835	708	1	hyperfuzzy	hyperfuzzy	ADJ
ejpam-6835	708	2	subsets	subset	NOUN
ejpam-6835	708	3	and	and	CCONJ
ejpam-6835	708	4	subgroupoids	subgroupoid	NOUN
ejpam-6835	708	5	.	.	PUNCT
ejpam-6835	709	1	j.	j.	PROPN
ejpam-6835	709	2	intell	intell	PROPN
ejpam-6835	709	3	.	.	PUNCT
ejpam-6835	710	1	fuzzy	fuzzy	ADJ
ejpam-6835	710	2	syst	syst	PROPN
ejpam-6835	710	3	.	.	PUNCT
ejpam-6835	710	4	,	,	PUNCT
ejpam-6835	710	5	33:1553–1562	33:1553–1562	NUM
ejpam-6835	710	6	,	,	PUNCT
ejpam-6835	710	7	2017	2017	NUM
ejpam-6835	710	8	.	.	PUNCT
ejpam-6835	711	1	[	[	X
ejpam-6835	711	2	67	67	NUM
ejpam-6835	711	3	]	]	X
ejpam-6835	711	4	bui	bui	PROPN
ejpam-6835	711	5	cong	cong	NOUN
ejpam-6835	711	6	cuong	cuong	PROPN
ejpam-6835	711	7	and	and	CCONJ
ejpam-6835	711	8	vladik	vladik	PROPN
ejpam-6835	711	9	kreinovich	kreinovich	PROPN
ejpam-6835	711	10	.	.	PUNCT
ejpam-6835	712	1	picture	picture	NOUN
ejpam-6835	712	2	fuzzy	fuzzy	ADJ
ejpam-6835	712	3	sets	set	NOUN
ejpam-6835	712	4	-	-	PUNCT
ejpam-6835	712	5	a	a	DET
ejpam-6835	712	6	new	new	ADJ
ejpam-6835	712	7	concept	concept	NOUN
ejpam-6835	712	8	for	for	ADP
ejpam-6835	712	9	computational	computational	ADJ
ejpam-6835	712	10	intelligence	intelligence	NOUN
ejpam-6835	712	11	problems	problem	NOUN
ejpam-6835	712	12	.	.	PUNCT
ejpam-6835	713	1	in	in	ADP
ejpam-6835	713	2	2013	2013	NUM
ejpam-6835	713	3	third	third	ADJ
ejpam-6835	713	4	world	world	NOUN
ejpam-6835	713	5	congress	congress	PROPN
ejpam-6835	713	6	on	on	ADP
ejpam-6835	713	7	information	information	NOUN
ejpam-6835	713	8	and	and	CCONJ
ejpam-6835	713	9	communication	communication	NOUN
ejpam-6835	713	10	technologies	technology	NOUN
ejpam-6835	713	11	(	(	PUNCT
ejpam-6835	713	12	wict	wict	NOUN
ejpam-6835	713	13	2013	2013	NUM
ejpam-6835	713	14	)	)	PUNCT
ejpam-6835	713	15	,	,	PUNCT
ejpam-6835	713	16	pages	page	NOUN
ejpam-6835	713	17	1–6	1–6	NUM
ejpam-6835	713	18	.	.	PUNCT
ejpam-6835	713	19	ieee	ieee	PROPN
ejpam-6835	713	20	,	,	PUNCT
ejpam-6835	713	21	2013	2013	NUM
ejpam-6835	713	22	.	.	PUNCT
ejpam-6835	714	1	[	[	X
ejpam-6835	714	2	68	68	NUM
ejpam-6835	714	3	]	]	PUNCT
ejpam-6835	714	4	waheed	waheed	PROPN
ejpam-6835	714	5	ahmad	ahmad	PROPN
ejpam-6835	714	6	khan	khan	PROPN
ejpam-6835	714	7	,	,	PUNCT
ejpam-6835	714	8	waqar	waqar	PROPN
ejpam-6835	714	9	arif	arif	PROPN
ejpam-6835	714	10	,	,	PUNCT
ejpam-6835	714	11	quoc	quoc	PROPN
ejpam-6835	714	12	hung	hang	VERB
ejpam-6835	714	13	nguyen	nguyen	NOUN
ejpam-6835	714	14	,	,	PUNCT
ejpam-6835	714	15	thanh	thanh	PROPN
ejpam-6835	714	16	trung	trung	PROPN
ejpam-6835	714	17	le	le	PROPN
ejpam-6835	714	18	,	,	PUNCT
ejpam-6835	714	19	and	and	CCONJ
ejpam-6835	714	20	hai	hai	PROPN
ejpam-6835	714	21	van	van	PROPN
ejpam-6835	714	22	pham	pham	PROPN
ejpam-6835	714	23	.	.	PUNCT
ejpam-6835	715	1	picture	picture	NOUN
ejpam-6835	715	2	fuzzy	fuzzy	ADJ
ejpam-6835	715	3	directed	direct	VERB
ejpam-6835	715	4	hypergraphs	hypergraph	NOUN
ejpam-6835	715	5	with	with	ADP
ejpam-6835	715	6	applications	application	NOUN
ejpam-6835	715	7	towards	towards	ADP
ejpam-6835	715	8	decisionmaking	decisionmake	VERB
ejpam-6835	715	9	and	and	CCONJ
ejpam-6835	715	10	managing	manage	VERB
ejpam-6835	715	11	hazardous	hazardous	ADJ
ejpam-6835	715	12	chemicals	chemical	NOUN
ejpam-6835	715	13	.	.	PUNCT
ejpam-6835	716	1	ieee	ieee	NOUN
ejpam-6835	716	2	access	access	NOUN
ejpam-6835	716	3	,	,	PUNCT
ejpam-6835	716	4	2024	2024	NUM
ejpam-6835	716	5	.	.	PUNCT
ejpam-6835	717	1	[	[	X
ejpam-6835	717	2	69	69	NUM
ejpam-6835	717	3	]	]	PUNCT
ejpam-6835	717	4	muhammad	muhammad	PROPN
ejpam-6835	717	5	sajjad	sajjad	PROPN
ejpam-6835	717	6	ali	ali	PROPN
ejpam-6835	717	7	khan	khan	PROPN
ejpam-6835	717	8	,	,	PUNCT
ejpam-6835	717	9	saleem	saleem	PROPN
ejpam-6835	717	10	abdullah	abdullah	PROPN
ejpam-6835	717	11	,	,	PUNCT
ejpam-6835	717	12	asad	asad	PROPN
ejpam-6835	717	13	ali	ali	PROPN
ejpam-6835	717	14	,	,	PUNCT
ejpam-6835	717	15	nasir	nasir	PROPN
ejpam-6835	717	16	siddiqui	siddiqui	PROPN
ejpam-6835	717	17	,	,	PUNCT
ejpam-6835	717	18	and	and	CCONJ
ejpam-6835	717	19	fazli	fazli	PROPN
ejpam-6835	717	20	amin	amin	PROPN
ejpam-6835	717	21	.	.	PUNCT
ejpam-6835	718	1	pythagorean	pythagorean	PROPN
ejpam-6835	718	2	hesitant	hesitant	ADJ
ejpam-6835	718	3	fuzzy	fuzzy	ADJ
ejpam-6835	718	4	sets	set	NOUN
ejpam-6835	718	5	and	and	CCONJ
ejpam-6835	718	6	their	their	PRON
ejpam-6835	718	7	application	application	NOUN
ejpam-6835	718	8	to	to	ADP
ejpam-6835	718	9	group	group	NOUN
ejpam-6835	718	10	decision	decision	NOUN
ejpam-6835	718	11	making	make	VERB
ejpam-6835	718	12	with	with	ADP
ejpam-6835	718	13	incomplete	incomplete	ADJ
ejpam-6835	718	14	weight	weight	NOUN
ejpam-6835	718	15	information	information	NOUN
ejpam-6835	718	16	.	.	PUNCT
ejpam-6835	719	1	journal	journal	NOUN
ejpam-6835	719	2	of	of	ADP
ejpam-6835	719	3	intelligent	intelligent	ADJ
ejpam-6835	719	4	&	&	CCONJ
ejpam-6835	719	5	fuzzy	fuzzy	ADJ
ejpam-6835	719	6	systems	system	NOUN
ejpam-6835	719	7	,	,	PUNCT
ejpam-6835	719	8	33(6):3971–3985	33(6):3971–3985	NUM
ejpam-6835	719	9	,	,	PUNCT
ejpam-6835	719	10	2017	2017	NUM
ejpam-6835	719	11	.	.	PUNCT
ejpam-6835	720	1	[	[	X
ejpam-6835	720	2	70	70	X
ejpam-6835	720	3	]	]	X
ejpam-6835	720	4	muhammad	muhammad	PROPN
ejpam-6835	720	5	akram	akram	PROPN
ejpam-6835	720	6	,	,	PUNCT
ejpam-6835	720	7	sumera	sumera	NOUN
ejpam-6835	720	8	naz	naz	PROPN
ejpam-6835	720	9	,	,	PUNCT
ejpam-6835	720	10	and	and	CCONJ
ejpam-6835	720	11	bijan	bijan	PROPN
ejpam-6835	720	12	davvaz	davvaz	PROPN
ejpam-6835	720	13	.	.	PUNCT
ejpam-6835	721	1	simplified	simplify	VERB
ejpam-6835	721	2	interval	interval	NOUN
ejpam-6835	721	3	-	-	PUNCT
ejpam-6835	721	4	valued	value	VERB
ejpam-6835	721	5	pythagorean	pythagorean	NOUN
ejpam-6835	721	6	fuzzy	fuzzy	ADJ
ejpam-6835	721	7	graphs	graph	NOUN
ejpam-6835	721	8	with	with	ADP
ejpam-6835	721	9	application	application	NOUN
ejpam-6835	721	10	.	.	PUNCT
ejpam-6835	722	1	complex	complex	ADJ
ejpam-6835	722	2	&	&	CCONJ
ejpam-6835	722	3	intelligent	intelligent	ADJ
ejpam-6835	722	4	systems	system	NOUN
ejpam-6835	722	5	,	,	PUNCT
ejpam-6835	722	6	5:229–253	5:229–253	NUM
ejpam-6835	722	7	,	,	PUNCT
ejpam-6835	722	8	2019	2019	NUM
ejpam-6835	722	9	.	.	PUNCT
ejpam-6835	723	1	[	[	X
ejpam-6835	723	2	71	71	NUM
ejpam-6835	723	3	]	]	X
ejpam-6835	723	4	m	m	VERB
ejpam-6835	723	5	kanchana	kanchana	PROPN
ejpam-6835	723	6	and	and	CCONJ
ejpam-6835	723	7	k	k	PROPN
ejpam-6835	723	8	kavitha	kavitha	PROPN
ejpam-6835	723	9	.	.	PUNCT
ejpam-6835	724	1	sensitivity	sensitivity	NOUN
ejpam-6835	724	2	analysis	analysis	NOUN
ejpam-6835	724	3	and	and	CCONJ
ejpam-6835	724	4	application	application	NOUN
ejpam-6835	724	5	of	of	ADP
ejpam-6835	724	6	single	single	ADV
ejpam-6835	724	7	-	-	PUNCT
ejpam-6835	724	8	valued	value	VERB
ejpam-6835	724	9	neutrosophic	neutrosophic	ADJ
ejpam-6835	724	10	transportaion	transportaion	NOUN
ejpam-6835	724	11	problem	problem	NOUN
ejpam-6835	724	12	.	.	PUNCT
ejpam-6835	725	1	journal	journal	NOUN
ejpam-6835	725	2	of	of	ADP
ejpam-6835	725	3	king	king	PROPN
ejpam-6835	725	4	saud	saud	PROPN
ejpam-6835	725	5	university	university	PROPN
ejpam-6835	725	6	-	-	PUNCT
ejpam-6835	725	7	science	science	NOUN
ejpam-6835	725	8	,	,	PUNCT
ejpam-6835	725	9	36(11):103567	36(11):103567	NUM
ejpam-6835	725	10	,	,	PUNCT
ejpam-6835	725	11	2024	2024	NUM
ejpam-6835	725	12	.	.	PUNCT
ejpam-6835	726	1	[	[	X
ejpam-6835	726	2	72	72	NUM
ejpam-6835	726	3	]	]	X
ejpam-6835	726	4	muhammad	muhammad	PROPN
ejpam-6835	726	5	akram	akram	PROPN
ejpam-6835	726	6	and	and	CCONJ
ejpam-6835	726	7	anam	anam	PROPN
ejpam-6835	726	8	luqman	luqman	PROPN
ejpam-6835	726	9	.	.	PUNCT
ejpam-6835	727	1	a	a	DET
ejpam-6835	727	2	new	new	ADJ
ejpam-6835	727	3	decision	decision	NOUN
ejpam-6835	727	4	-	-	PUNCT
ejpam-6835	727	5	making	make	VERB
ejpam-6835	727	6	method	method	NOUN
ejpam-6835	727	7	based	base	VERB
ejpam-6835	727	8	on	on	ADP
ejpam-6835	727	9	t.	t.	PROPN
ejpam-6835	727	10	fujita	fujita	PROPN
ejpam-6835	727	11	,	,	PUNCT
ejpam-6835	727	12	f.	f.	PROPN
ejpam-6835	727	13	smarandache	smarandache	PROPN
ejpam-6835	727	14	/	/	SYM
ejpam-6835	727	15	eur	eur	PROPN
ejpam-6835	727	16	.	.	PUNCT
ejpam-6835	728	1	j.	j.	PROPN
ejpam-6835	728	2	pure	pure	PROPN
ejpam-6835	728	3	appl	appl	PROPN
ejpam-6835	728	4	.	.	PROPN
ejpam-6835	728	5	math	math	PROPN
ejpam-6835	728	6	,	,	PUNCT
ejpam-6835	728	7	18	18	NUM
ejpam-6835	728	8	(	(	PUNCT
ejpam-6835	728	9	4	4	NUM
ejpam-6835	728	10	)	)	PUNCT
ejpam-6835	728	11	(	(	PUNCT
ejpam-6835	728	12	2025	2025	NUM
ejpam-6835	728	13	)	)	PUNCT
ejpam-6835	728	14	,	,	PUNCT
ejpam-6835	728	15	6835	6835	NUM
ejpam-6835	728	16	28	28	NUM
ejpam-6835	728	17	of	of	ADP
ejpam-6835	728	18	29	29	NUM
ejpam-6835	728	19	bipolar	bipolar	ADJ
ejpam-6835	728	20	neutrosophic	neutrosophic	ADJ
ejpam-6835	728	21	directed	direct	VERB
ejpam-6835	728	22	hypergraphs	hypergraph	NOUN
ejpam-6835	728	23	.	.	PUNCT
ejpam-6835	729	1	journal	journal	PROPN
ejpam-6835	729	2	of	of	ADP
ejpam-6835	729	3	applied	apply	VERB
ejpam-6835	729	4	mathematics	mathematic	NOUN
ejpam-6835	729	5	and	and	CCONJ
ejpam-6835	729	6	computing	computing	NOUN
ejpam-6835	729	7	,	,	PUNCT
ejpam-6835	729	8	57:547–575	57:547–575	PROPN
ejpam-6835	729	9	,	,	PUNCT
ejpam-6835	729	10	2018	2018	NUM
ejpam-6835	729	11	.	.	PUNCT
ejpam-6835	730	1	[	[	X
ejpam-6835	730	2	73	73	NUM
ejpam-6835	730	3	]	]	PUNCT
ejpam-6835	730	4	muhammad	muhammad	PROPN
ejpam-6835	730	5	rayees	rayees	PROPN
ejpam-6835	730	6	ahmad	ahmad	PROPN
ejpam-6835	730	7	,	,	PUNCT
ejpam-6835	730	8	muhammad	muhammad	PROPN
ejpam-6835	730	9	saeed	saeed	PROPN
ejpam-6835	730	10	,	,	PUNCT
ejpam-6835	730	11	usman	usman	PROPN
ejpam-6835	730	12	afzal	afzal	PROPN
ejpam-6835	730	13	,	,	PUNCT
ejpam-6835	730	14	and	and	CCONJ
ejpam-6835	730	15	miin	miin	PROPN
ejpam-6835	730	16	-	-	PUNCT
ejpam-6835	730	17	shen	shen	PROPN
ejpam-6835	730	18	yang	yang	PROPN
ejpam-6835	730	19	.	.	PUNCT
ejpam-6835	731	1	a	a	DET
ejpam-6835	731	2	novel	novel	ADJ
ejpam-6835	731	3	mcdm	mcdm	ADJ
ejpam-6835	731	4	method	method	NOUN
ejpam-6835	731	5	based	base	VERB
ejpam-6835	731	6	on	on	ADP
ejpam-6835	731	7	plithogenic	plithogenic	ADJ
ejpam-6835	731	8	hypersoft	hypersoft	PROPN
ejpam-6835	731	9	sets	set	NOUN
ejpam-6835	731	10	under	under	ADP
ejpam-6835	731	11	fuzzy	fuzzy	ADJ
ejpam-6835	731	12	neutrosophic	neutrosophic	ADJ
ejpam-6835	731	13	environment	environment	NOUN
ejpam-6835	731	14	.	.	PUNCT
ejpam-6835	732	1	symmetry	symmetry	NOUN
ejpam-6835	732	2	,	,	PUNCT
ejpam-6835	732	3	12(11):1855	12(11):1855	NUM
ejpam-6835	732	4	,	,	PUNCT
ejpam-6835	732	5	2020	2020	NUM
ejpam-6835	732	6	.	.	PUNCT
ejpam-6835	733	1	[	[	X
ejpam-6835	733	2	74	74	NUM
ejpam-6835	733	3	]	]	X
ejpam-6835	733	4	fazeelat	fazeelat	ADJ
ejpam-6835	733	5	sultana	sultana	NOUN
ejpam-6835	733	6	,	,	PUNCT
ejpam-6835	733	7	muhammad	muhammad	PROPN
ejpam-6835	733	8	gulistan	gulistan	PROPN
ejpam-6835	733	9	,	,	PUNCT
ejpam-6835	733	10	mumtaz	mumtaz	PROPN
ejpam-6835	733	11	ali	ali	PROPN
ejpam-6835	733	12	,	,	PUNCT
ejpam-6835	733	13	naveed	naveed	PROPN
ejpam-6835	733	14	yaqoob	yaqoob	PROPN
ejpam-6835	733	15	,	,	PUNCT
ejpam-6835	733	16	muhammad	muhammad	PROPN
ejpam-6835	733	17	khan	khan	PROPN
ejpam-6835	733	18	,	,	PUNCT
ejpam-6835	733	19	tabasam	tabasam	PROPN
ejpam-6835	733	20	rashid	rashid	PROPN
ejpam-6835	733	21	,	,	PUNCT
ejpam-6835	733	22	and	and	CCONJ
ejpam-6835	733	23	tauseef	tauseef	PROPN
ejpam-6835	733	24	ahmed	ahmed	PROPN
ejpam-6835	733	25	.	.	PUNCT
ejpam-6835	734	1	a	a	DET
ejpam-6835	734	2	study	study	NOUN
ejpam-6835	734	3	of	of	ADP
ejpam-6835	734	4	plithogenic	plithogenic	ADJ
ejpam-6835	734	5	graphs	graph	NOUN
ejpam-6835	734	6	:	:	PUNCT
ejpam-6835	734	7	applications	application	NOUN
ejpam-6835	734	8	in	in	ADP
ejpam-6835	734	9	spreading	spread	VERB
ejpam-6835	734	10	coronavirus	coronavirus	NOUN
ejpam-6835	734	11	disease	disease	NOUN
ejpam-6835	734	12	(	(	PUNCT
ejpam-6835	734	13	covid-19	covid-19	PROPN
ejpam-6835	734	14	)	)	PUNCT
ejpam-6835	734	15	globally	globally	ADV
ejpam-6835	734	16	.	.	PUNCT
ejpam-6835	735	1	journal	journal	PROPN
ejpam-6835	735	2	of	of	ADP
ejpam-6835	735	3	ambient	ambient	ADJ
ejpam-6835	735	4	intelligence	intelligence	NOUN
ejpam-6835	735	5	and	and	CCONJ
ejpam-6835	735	6	humanized	humanize	VERB
ejpam-6835	735	7	computing	computing	NOUN
ejpam-6835	735	8	,	,	PUNCT
ejpam-6835	735	9	14(10):13139–13159	14(10):13139–13159	NUM
ejpam-6835	735	10	,	,	PUNCT
ejpam-6835	735	11	2023	2023	NUM
ejpam-6835	735	12	.	.	PUNCT
ejpam-6835	736	1	[	[	X
ejpam-6835	736	2	75	75	NUM
ejpam-6835	736	3	]	]	PUNCT
ejpam-6835	736	4	takaaki	takaaki	NOUN
ejpam-6835	736	5	fujita	fujita	PROPN
ejpam-6835	736	6	.	.	PUNCT
ejpam-6835	737	1	review	review	NOUN
ejpam-6835	737	2	of	of	ADP
ejpam-6835	737	3	rough	rough	ADJ
ejpam-6835	737	4	turiyam	turiyam	NOUN
ejpam-6835	737	5	neutrosophic	neutrosophic	ADJ
ejpam-6835	737	6	directed	direct	VERB
ejpam-6835	737	7	graphs	graph	NOUN
ejpam-6835	737	8	and	and	CCONJ
ejpam-6835	737	9	rough	rough	ADJ
ejpam-6835	737	10	pentapartitioned	pentapartitioned	ADJ
ejpam-6835	737	11	neutrosophic	neutrosophic	ADJ
ejpam-6835	737	12	directed	direct	VERB
ejpam-6835	737	13	graphs	graph	NOUN
ejpam-6835	737	14	.	.	PUNCT
ejpam-6835	738	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	738	2	optimization	optimization	NOUN
ejpam-6835	738	3	and	and	CCONJ
ejpam-6835	738	4	intelligent	intelligent	ADJ
ejpam-6835	738	5	systems	system	NOUN
ejpam-6835	738	6	,	,	PUNCT
ejpam-6835	738	7	5:48–79	5:48–79	NUM
ejpam-6835	738	8	,	,	PUNCT
ejpam-6835	738	9	2025	2025	NUM
ejpam-6835	738	10	.	.	PUNCT
ejpam-6835	739	1	[	[	X
ejpam-6835	739	2	76	76	NUM
ejpam-6835	739	3	]	]	X
ejpam-6835	739	4	g	g	PROPN
ejpam-6835	739	5	deepa	deepa	PROPN
ejpam-6835	739	6	,	,	PUNCT
ejpam-6835	739	7	b	b	NOUN
ejpam-6835	739	8	praba	praba	NOUN
ejpam-6835	739	9	,	,	PUNCT
ejpam-6835	739	10	and	and	CCONJ
ejpam-6835	739	11	vm	vm	PROPN
ejpam-6835	739	12	chandrasekaran	chandrasekaran	VERB
ejpam-6835	739	13	.	.	PUNCT
ejpam-6835	740	1	a	a	DET
ejpam-6835	740	2	study	study	NOUN
ejpam-6835	740	3	on	on	ADP
ejpam-6835	740	4	energy	energy	NOUN
ejpam-6835	740	5	of	of	ADP
ejpam-6835	740	6	an	an	DET
ejpam-6835	740	7	intuitionistic	intuitionistic	ADJ
ejpam-6835	740	8	fuzzy	fuzzy	ADJ
ejpam-6835	740	9	directed	direct	VERB
ejpam-6835	740	10	graph	graph	NOUN
ejpam-6835	740	11	.	.	PUNCT
ejpam-6835	741	1	research	research	NOUN
ejpam-6835	741	2	journal	journal	PROPN
ejpam-6835	741	3	of	of	ADP
ejpam-6835	741	4	pharmacy	pharmacy	NOUN
ejpam-6835	741	5	and	and	CCONJ
ejpam-6835	741	6	technology	technology	NOUN
ejpam-6835	741	7	,	,	PUNCT
ejpam-6835	741	8	9(2):190–195	9(2):190–195	NOUN
ejpam-6835	741	9	,	,	PUNCT
ejpam-6835	741	10	2016	2016	NUM
ejpam-6835	741	11	.	.	PUNCT
ejpam-6835	742	1	[	[	X
ejpam-6835	742	2	77	77	X
ejpam-6835	742	3	]	]	X
ejpam-6835	742	4	erling	erle	VERB
ejpam-6835	742	5	wei	wei	PROPN
ejpam-6835	742	6	,	,	PUNCT
ejpam-6835	742	7	wenliang	wenliang	PROPN
ejpam-6835	742	8	tang	tang	PROPN
ejpam-6835	742	9	,	,	PUNCT
ejpam-6835	742	10	and	and	CCONJ
ejpam-6835	742	11	xiaofeng	xiaofeng	PROPN
ejpam-6835	742	12	wang	wang	PROPN
ejpam-6835	742	13	.	.	PUNCT
ejpam-6835	743	1	flows	flow	VERB
ejpam-6835	743	2	in	in	ADP
ejpam-6835	743	3	3	3	NUM
ejpam-6835	743	4	-	-	PUNCT
ejpam-6835	743	5	edge	edge	NOUN
ejpam-6835	743	6	-	-	PUNCT
ejpam-6835	743	7	connected	connect	VERB
ejpam-6835	743	8	bidirected	bidirected	ADJ
ejpam-6835	743	9	graphs	graph	NOUN
ejpam-6835	743	10	.	.	PUNCT
ejpam-6835	744	1	frontiers	frontier	NOUN
ejpam-6835	744	2	of	of	ADP
ejpam-6835	744	3	mathematics	mathematics	PROPN
ejpam-6835	744	4	in	in	ADP
ejpam-6835	744	5	china	china	PROPN
ejpam-6835	744	6	,	,	PUNCT
ejpam-6835	744	7	6:339–348	6:339–348	PROPN
ejpam-6835	744	8	,	,	PUNCT
ejpam-6835	744	9	2011	2011	NUM
ejpam-6835	744	10	.	.	PUNCT
ejpam-6835	745	1	[	[	X
ejpam-6835	745	2	78	78	NUM
ejpam-6835	745	3	]	]	X
ejpam-6835	745	4	rui	rui	PROPN
ejpam-6835	745	5	xu	xu	PROPN
ejpam-6835	745	6	and	and	CCONJ
ejpam-6835	745	7	cun	cun	PROPN
ejpam-6835	745	8	-	-	PUNCT
ejpam-6835	745	9	quan	quan	PROPN
ejpam-6835	745	10	zhang	zhang	PROPN
ejpam-6835	745	11	.	.	PUNCT
ejpam-6835	746	1	on	on	ADP
ejpam-6835	746	2	flows	flow	NOUN
ejpam-6835	746	3	in	in	ADP
ejpam-6835	746	4	bidirected	bidirected	ADJ
ejpam-6835	746	5	graphs	graph	NOUN
ejpam-6835	746	6	.	.	PUNCT
ejpam-6835	747	1	discrete	discrete	ADJ
ejpam-6835	747	2	mathematics	mathematic	NOUN
ejpam-6835	747	3	,	,	PUNCT
ejpam-6835	747	4	299(1	299(1	NUM
ejpam-6835	747	5	-	-	SYM
ejpam-6835	747	6	3):335–343	3):335–343	NUM
ejpam-6835	747	7	,	,	PUNCT
ejpam-6835	747	8	2005	2005	NUM
ejpam-6835	747	9	.	.	PUNCT
ejpam-6835	748	1	[	[	X
ejpam-6835	748	2	79	79	NUM
ejpam-6835	748	3	]	]	X
ejpam-6835	748	4	sebastian	sebastian	PROPN
ejpam-6835	748	5	pardo	pardo	PROPN
ejpam-6835	748	6	-	-	PUNCT
ejpam-6835	748	7	guerra	guerra	PROPN
ejpam-6835	748	8	,	,	PUNCT
ejpam-6835	748	9	vivek	vivek	PROPN
ejpam-6835	748	10	kurien	kurien	PROPN
ejpam-6835	748	11	george	george	PROPN
ejpam-6835	748	12	,	,	PUNCT
ejpam-6835	748	13	vikash	vikash	PROPN
ejpam-6835	748	14	morar	morar	PROPN
ejpam-6835	748	15	,	,	PUNCT
ejpam-6835	748	16	joshua	joshua	PROPN
ejpam-6835	748	17	roldan	roldan	PROPN
ejpam-6835	748	18	,	,	PUNCT
ejpam-6835	748	19	and	and	CCONJ
ejpam-6835	748	20	gabriel	gabriel	PROPN
ejpam-6835	748	21	alex	alex	PROPN
ejpam-6835	748	22	silva	silva	PROPN
ejpam-6835	748	23	.	.	PUNCT
ejpam-6835	749	1	extending	extend	VERB
ejpam-6835	749	2	undirected	undirected	ADJ
ejpam-6835	749	3	graph	graph	NOUN
ejpam-6835	749	4	techniques	technique	NOUN
ejpam-6835	749	5	to	to	PART
ejpam-6835	749	6	directed	direct	VERB
ejpam-6835	749	7	graphs	graph	NOUN
ejpam-6835	749	8	via	via	ADP
ejpam-6835	749	9	category	category	NOUN
ejpam-6835	749	10	theory	theory	NOUN
ejpam-6835	749	11	.	.	PUNCT
ejpam-6835	750	1	mathematics	mathematic	NOUN
ejpam-6835	750	2	,	,	PUNCT
ejpam-6835	750	3	12(9):1357	12(9):1357	NUM
ejpam-6835	750	4	,	,	PUNCT
ejpam-6835	750	5	2024	2024	NUM
ejpam-6835	750	6	.	.	PUNCT
ejpam-6835	751	1	[	[	X
ejpam-6835	751	2	80	80	NUM
ejpam-6835	751	3	]	]	X
ejpam-6835	751	4	sebastian	sebastian	PROPN
ejpam-6835	751	5	pardo	pardo	PROPN
ejpam-6835	751	6	-	-	PUNCT
ejpam-6835	751	7	guerra	guerra	PROPN
ejpam-6835	751	8	,	,	PUNCT
ejpam-6835	751	9	vivek	vivek	PROPN
ejpam-6835	751	10	kurien	kurien	PROPN
ejpam-6835	751	11	george	george	PROPN
ejpam-6835	751	12	,	,	PUNCT
ejpam-6835	751	13	and	and	CCONJ
ejpam-6835	751	14	gabriel	gabriel	PROPN
ejpam-6835	751	15	a	a	DET
ejpam-6835	751	16	silva	silva	NOUN
ejpam-6835	751	17	.	.	PUNCT
ejpam-6835	752	1	on	on	ADP
ejpam-6835	752	2	the	the	DET
ejpam-6835	752	3	graph	graph	NOUN
ejpam-6835	752	4	isomorphism	isomorphism	NOUN
ejpam-6835	752	5	completeness	completeness	NOUN
ejpam-6835	752	6	of	of	ADP
ejpam-6835	752	7	directed	direct	VERB
ejpam-6835	752	8	and	and	CCONJ
ejpam-6835	752	9	multidirected	multidirected	ADJ
ejpam-6835	752	10	graphs	graph	NOUN
ejpam-6835	752	11	.	.	PUNCT
ejpam-6835	753	1	mathematics	mathematic	NOUN
ejpam-6835	753	2	,	,	PUNCT
ejpam-6835	753	3	13(2):228	13(2):228	NUM
ejpam-6835	753	4	,	,	PUNCT
ejpam-6835	753	5	2025	2025	NUM
ejpam-6835	753	6	.	.	PUNCT
ejpam-6835	754	1	[	[	X
ejpam-6835	754	2	81	81	NUM
ejpam-6835	754	3	]	]	PUNCT
ejpam-6835	754	4	fan	fan	PROPN
ejpam-6835	754	5	r.	r.	PROPN
ejpam-6835	754	6	k.	k.	PROPN
ejpam-6835	754	7	chung	chung	PROPN
ejpam-6835	754	8	,	,	PUNCT
ejpam-6835	754	9	ronald	ronald	PROPN
ejpam-6835	754	10	l.	l.	PROPN
ejpam-6835	754	11	graham	graham	PROPN
ejpam-6835	754	12	,	,	PUNCT
ejpam-6835	754	13	and	and	CCONJ
ejpam-6835	754	14	richard	richard	PROPN
ejpam-6835	754	15	m.	m.	PROPN
ejpam-6835	754	16	wilson	wilson	PROPN
ejpam-6835	754	17	.	.	PUNCT
ejpam-6835	755	1	quasi	quasi	ADJ
ejpam-6835	755	2	-	-	ADJ
ejpam-6835	755	3	random	random	ADJ
ejpam-6835	755	4	graphs	graph	NOUN
ejpam-6835	755	5	.	.	PUNCT
ejpam-6835	756	1	combinatorica	combinatorica	PROPN
ejpam-6835	756	2	,	,	PUNCT
ejpam-6835	756	3	9:345–362	9:345–362	NUM
ejpam-6835	756	4	,	,	PUNCT
ejpam-6835	756	5	1989	1989	NUM
ejpam-6835	756	6	.	.	PUNCT
ejpam-6835	757	1	[	[	X
ejpam-6835	757	2	82	82	NUM
ejpam-6835	757	3	]	]	X
ejpam-6835	757	4	fan	fan	PROPN
ejpam-6835	757	5	chung	chung	PROPN
ejpam-6835	757	6	and	and	CCONJ
ejpam-6835	757	7	ronald	ronald	PROPN
ejpam-6835	757	8	graham	graham	PROPN
ejpam-6835	757	9	.	.	PUNCT
ejpam-6835	758	1	sparse	sparse	VERB
ejpam-6835	758	2	quasi	quasi	ADJ
ejpam-6835	758	3	-	-	ADJ
ejpam-6835	758	4	random	random	ADJ
ejpam-6835	758	5	graphs	graph	NOUN
ejpam-6835	758	6	.	.	PUNCT
ejpam-6835	759	1	combinatorica	combinatorica	PROPN
ejpam-6835	759	2	,	,	PUNCT
ejpam-6835	759	3	22(2):217–244	22(2):217–244	PROPN
ejpam-6835	759	4	,	,	PUNCT
ejpam-6835	759	5	2002	2002	NUM
ejpam-6835	759	6	.	.	PUNCT
ejpam-6835	760	1	[	[	X
ejpam-6835	760	2	83	83	NUM
ejpam-6835	760	3	]	]	PUNCT
ejpam-6835	760	4	cr	cr	PROPN
ejpam-6835	760	5	subramanian	subramanian	PROPN
ejpam-6835	760	6	,	,	PUNCT
ejpam-6835	760	7	martin	martin	PROPN
ejpam-6835	760	8	fürer	fürer	PROPN
ejpam-6835	760	9	,	,	PUNCT
ejpam-6835	760	10	and	and	CCONJ
ejpam-6835	760	11	ce	ce	PROPN
ejpam-6835	760	12	veni	veni	PROPN
ejpam-6835	760	13	madhavan	madhavan	PROPN
ejpam-6835	760	14	.	.	PUNCT
ejpam-6835	761	1	algorithms	algorithm	NOUN
ejpam-6835	761	2	for	for	ADP
ejpam-6835	761	3	coloring	color	VERB
ejpam-6835	761	4	semi	semi	ADJ
ejpam-6835	761	5	-	-	ADJ
ejpam-6835	761	6	random	random	ADJ
ejpam-6835	761	7	graphs	graph	NOUN
ejpam-6835	761	8	.	.	PUNCT
ejpam-6835	762	1	random	random	ADJ
ejpam-6835	762	2	structures	structure	NOUN
ejpam-6835	762	3	&	&	CCONJ
ejpam-6835	762	4	algorithms	algorithm	NOUN
ejpam-6835	762	5	,	,	PUNCT
ejpam-6835	762	6	13(2):125–158	13(2):125–158	NUM
ejpam-6835	762	7	,	,	PUNCT
ejpam-6835	762	8	1998	1998	NUM
ejpam-6835	762	9	.	.	PUNCT
ejpam-6835	763	1	[	[	X
ejpam-6835	763	2	84	84	NUM
ejpam-6835	763	3	]	]	PUNCT
ejpam-6835	763	4	tobias	tobias	PROPN
ejpam-6835	763	5	storch	storch	PROPN
ejpam-6835	763	6	.	.	PUNCT
ejpam-6835	764	1	finding	find	VERB
ejpam-6835	764	2	large	large	ADJ
ejpam-6835	764	3	cliques	clique	NOUN
ejpam-6835	764	4	in	in	ADP
ejpam-6835	764	5	sparse	sparse	ADJ
ejpam-6835	764	6	semi	semi	ADJ
ejpam-6835	764	7	-	-	ADJ
ejpam-6835	764	8	random	random	ADJ
ejpam-6835	764	9	graphs	graph	NOUN
ejpam-6835	764	10	by	by	ADP
ejpam-6835	764	11	simple	simple	ADJ
ejpam-6835	764	12	randomized	randomized	ADJ
ejpam-6835	764	13	search	search	NOUN
ejpam-6835	764	14	heuristics	heuristic	NOUN
ejpam-6835	764	15	.	.	PUNCT
ejpam-6835	765	1	theoretical	theoretical	ADJ
ejpam-6835	765	2	computer	computer	NOUN
ejpam-6835	765	3	science	science	NOUN
ejpam-6835	765	4	,	,	PUNCT
ejpam-6835	765	5	386(1	386(1	PROPN
ejpam-6835	765	6	-	-	SYM
ejpam-6835	765	7	2):114–131	2):114–131	NUM
ejpam-6835	765	8	,	,	PUNCT
ejpam-6835	765	9	2007	2007	NUM
ejpam-6835	765	10	.	.	PUNCT
ejpam-6835	766	1	[	[	X
ejpam-6835	766	2	85	85	NUM
ejpam-6835	766	3	]	]	X
ejpam-6835	766	4	madan	madan	PROPN
ejpam-6835	766	5	lal	lal	PROPN
ejpam-6835	766	6	puri	puri	PROPN
ejpam-6835	766	7	and	and	CCONJ
ejpam-6835	766	8	dan	dan	PROPN
ejpam-6835	766	9	a.	a.	PROPN
ejpam-6835	766	10	ralescu	ralescu	PROPN
ejpam-6835	766	11	.	.	PUNCT
ejpam-6835	767	1	fuzzy	fuzzy	ADJ
ejpam-6835	767	2	random	random	ADJ
ejpam-6835	767	3	variables	variable	NOUN
ejpam-6835	767	4	.	.	PUNCT
ejpam-6835	768	1	journal	journal	NOUN
ejpam-6835	768	2	of	of	ADP
ejpam-6835	768	3	mathematical	mathematical	ADJ
ejpam-6835	768	4	analysis	analysis	NOUN
ejpam-6835	768	5	and	and	CCONJ
ejpam-6835	768	6	applications	application	NOUN
ejpam-6835	768	7	,	,	PUNCT
ejpam-6835	768	8	114:409–422	114:409–422	NUM
ejpam-6835	768	9	,	,	PUNCT
ejpam-6835	768	10	1986	1986	NUM
ejpam-6835	768	11	.	.	PUNCT
ejpam-6835	769	1	[	[	X
ejpam-6835	769	2	86	86	NUM
ejpam-6835	769	3	]	]	PUNCT
ejpam-6835	769	4	maŕıa	maŕıa	ADP
ejpam-6835	769	5	ángeles	ángeles	PROPN
ejpam-6835	769	6	gil	gil	PROPN
ejpam-6835	769	7	.	.	PROPN
ejpam-6835	769	8	fuzzy	fuzzy	ADJ
ejpam-6835	769	9	random	random	ADJ
ejpam-6835	769	10	variables	variable	NOUN
ejpam-6835	769	11	.	.	PUNCT
ejpam-6835	770	1	inf	inf	PROPN
ejpam-6835	770	2	.	.	PUNCT
ejpam-6835	771	1	sci	sci	PROPN
ejpam-6835	771	2	.	.	PROPN
ejpam-6835	771	3	,	,	PUNCT
ejpam-6835	771	4	133:1–2	133:1–2	PROPN
ejpam-6835	771	5	,	,	PUNCT
ejpam-6835	771	6	2001	2001	NUM
ejpam-6835	771	7	.	.	PUNCT
ejpam-6835	772	1	[	[	X
ejpam-6835	772	2	87	87	NUM
ejpam-6835	772	3	]	]	PUNCT
ejpam-6835	772	4	mohamed	mohamed	PROPN
ejpam-6835	772	5	bisher	bisher	PROPN
ejpam-6835	772	6	zeina	zeina	PROPN
ejpam-6835	772	7	and	and	CCONJ
ejpam-6835	772	8	ahmed	ahmed	PROPN
ejpam-6835	772	9	hatip	hatip	PROPN
ejpam-6835	772	10	.	.	PUNCT
ejpam-6835	773	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	773	2	random	random	ADJ
ejpam-6835	773	3	variables	variable	NOUN
ejpam-6835	773	4	.	.	PUNCT
ejpam-6835	774	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	774	2	sets	set	NOUN
ejpam-6835	774	3	and	and	CCONJ
ejpam-6835	774	4	systems	system	NOUN
ejpam-6835	774	5	,	,	PUNCT
ejpam-6835	774	6	39:44–52	39:44–52	NUM
ejpam-6835	774	7	,	,	PUNCT
ejpam-6835	774	8	2021	2021	NUM
ejpam-6835	774	9	.	.	PUNCT
ejpam-6835	775	1	[	[	X
ejpam-6835	775	2	88	88	NUM
ejpam-6835	775	3	]	]	X
ejpam-6835	775	4	carlos	carlos	PROPN
ejpam-6835	775	5	granados	granados	PROPN
ejpam-6835	775	6	,	,	PUNCT
ejpam-6835	775	7	ajoy	ajoy	PROPN
ejpam-6835	775	8	kanti	kanti	PROPN
ejpam-6835	775	9	das	das	PROPN
ejpam-6835	775	10	,	,	PUNCT
ejpam-6835	775	11	and	and	CCONJ
ejpam-6835	775	12	birojit	birojit	ADJ
ejpam-6835	775	13	das	das	PROPN
ejpam-6835	775	14	.	.	PUNCT
ejpam-6835	776	1	some	some	DET
ejpam-6835	776	2	continuous	continuous	ADJ
ejpam-6835	776	3	neutrosophic	neutrosophic	ADJ
ejpam-6835	776	4	distributions	distribution	NOUN
ejpam-6835	776	5	with	with	ADP
ejpam-6835	776	6	neutrosophic	neutrosophic	ADJ
ejpam-6835	776	7	parameters	parameter	NOUN
ejpam-6835	776	8	based	base	VERB
ejpam-6835	776	9	on	on	ADP
ejpam-6835	776	10	neutrosophic	neutrosophic	ADJ
ejpam-6835	776	11	random	random	ADJ
ejpam-6835	776	12	variables	variable	NOUN
ejpam-6835	776	13	.	.	PUNCT
ejpam-6835	777	1	advances	advance	NOUN
ejpam-6835	777	2	in	in	ADP
ejpam-6835	777	3	the	the	DET
ejpam-6835	777	4	theory	theory	NOUN
ejpam-6835	777	5	of	of	ADP
ejpam-6835	777	6	nonlinear	nonlinear	ADJ
ejpam-6835	777	7	analysis	analysis	NOUN
ejpam-6835	777	8	and	and	CCONJ
ejpam-6835	777	9	its	its	PRON
ejpam-6835	777	10	application	application	NOUN
ejpam-6835	777	11	,	,	PUNCT
ejpam-6835	777	12	6(3):380–389	6(3):380–389	NOUN
ejpam-6835	777	13	,	,	PUNCT
ejpam-6835	777	14	2022	2022	NUM
ejpam-6835	777	15	.	.	PUNCT
ejpam-6835	778	1	[	[	X
ejpam-6835	778	2	89	89	NUM
ejpam-6835	778	3	]	]	X
ejpam-6835	778	4	carlos	carlos	PROPN
ejpam-6835	778	5	granados	granados	PROPN
ejpam-6835	778	6	.	.	PUNCT
ejpam-6835	779	1	new	new	ADJ
ejpam-6835	779	2	notions	notion	NOUN
ejpam-6835	779	3	on	on	ADP
ejpam-6835	779	4	neutrosophic	neutrosophic	ADJ
ejpam-6835	779	5	random	random	ADJ
ejpam-6835	779	6	variables	variable	NOUN
ejpam-6835	779	7	.	.	PUNCT
ejpam-6835	780	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	780	2	sets	set	NOUN
ejpam-6835	780	3	and	and	CCONJ
ejpam-6835	780	4	systems	system	NOUN
ejpam-6835	780	5	,	,	PUNCT
ejpam-6835	780	6	47:286–297	47:286–297	PROPN
ejpam-6835	780	7	,	,	PUNCT
ejpam-6835	780	8	2021	2021	NUM
ejpam-6835	780	9	.	.	PUNCT
ejpam-6835	781	1	t.	t.	PROPN
ejpam-6835	781	2	fujita	fujita	PROPN
ejpam-6835	781	3	,	,	PUNCT
ejpam-6835	781	4	f.	f.	PROPN
ejpam-6835	781	5	smarandache	smarandache	PROPN
ejpam-6835	781	6	/	/	SYM
ejpam-6835	781	7	eur	eur	PROPN
ejpam-6835	781	8	.	.	PUNCT
ejpam-6835	782	1	j.	j.	PROPN
ejpam-6835	782	2	pure	pure	PROPN
ejpam-6835	782	3	appl	appl	PROPN
ejpam-6835	782	4	.	.	PROPN
ejpam-6835	782	5	math	math	PROPN
ejpam-6835	782	6	,	,	PUNCT
ejpam-6835	782	7	18	18	NUM
ejpam-6835	782	8	(	(	PUNCT
ejpam-6835	782	9	4	4	NUM
ejpam-6835	782	10	)	)	PUNCT
ejpam-6835	782	11	(	(	PUNCT
ejpam-6835	782	12	2025	2025	NUM
ejpam-6835	782	13	)	)	PUNCT
ejpam-6835	782	14	,	,	PUNCT
ejpam-6835	782	15	6835	6835	NUM
ejpam-6835	782	16	29	29	NUM
ejpam-6835	782	17	of	of	ADP
ejpam-6835	782	18	29	29	NUM
ejpam-6835	783	1	[	[	SYM
ejpam-6835	783	2	90	90	NUM
ejpam-6835	783	3	]	]	PUNCT
ejpam-6835	783	4	mohamed	mohamed	PROPN
ejpam-6835	783	5	bisher	bisher	PROPN
ejpam-6835	783	6	zeina1	zeina1	PROPN
ejpam-6835	783	7	,	,	PUNCT
ejpam-6835	783	8	saeed	saeed	PROPN
ejpam-6835	783	9	hemeda	hemeda	PROPN
ejpam-6835	783	10	,	,	PUNCT
ejpam-6835	783	11	mazeat	mazeat	PROPN
ejpam-6835	783	12	koreny	koreny	PROPN
ejpam-6835	783	13	,	,	PUNCT
ejpam-6835	783	14	and	and	CCONJ
ejpam-6835	783	15	mohammad	mohammad	PROPN
ejpam-6835	783	16	abobala	abobala	NOUN
ejpam-6835	783	17	.	.	PUNCT
ejpam-6835	784	1	on	on	ADP
ejpam-6835	784	2	symbolic	symbolic	ADJ
ejpam-6835	784	3	n	n	CCONJ
ejpam-6835	784	4	-	-	ADJ
ejpam-6835	784	5	plithogenic	plithogenic	ADJ
ejpam-6835	784	6	random	random	ADJ
ejpam-6835	784	7	variables	variable	NOUN
ejpam-6835	784	8	using	use	VERB
ejpam-6835	784	9	a	a	DET
ejpam-6835	784	10	generalized	generalized	ADJ
ejpam-6835	784	11	isomorphism	isomorphism	NOUN
ejpam-6835	784	12	.	.	PUNCT
ejpam-6835	785	1	neutrosophic	neutrosophic	ADJ
ejpam-6835	785	2	sets	set	NOUN
ejpam-6835	785	3	and	and	CCONJ
ejpam-6835	785	4	systems	system	NOUN
ejpam-6835	785	5	,	,	PUNCT
ejpam-6835	785	6	vol	vol	NOUN
ejpam-6835	785	7	.	.	PUNCT
ejpam-6835	786	1	59/2023	59/2023	NUM
ejpam-6835	786	2	{	{	PUNCT
ejpam-6835	786	3	special	special	ADJ
ejpam-6835	786	4	issue	issue	NOUN
ejpam-6835	786	5	on	on	ADP
ejpam-6835	786	6	symbolic	symbolic	ADJ
ejpam-6835	786	7	plithogenic	plithogenic	ADJ
ejpam-6835	786	8	algebraic	algebraic	ADJ
ejpam-6835	786	9	structures	structure	NOUN
ejpam-6835	786	10	}	}	PUNCT
ejpam-6835	786	11	:	:	PUNCT
ejpam-6835	786	12	an	an	DET
ejpam-6835	786	13	international	international	ADJ
ejpam-6835	786	14	journal	journal	NOUN
ejpam-6835	786	15	in	in	ADP
ejpam-6835	786	16	information	information	NOUN
ejpam-6835	786	17	science	science	NOUN
ejpam-6835	786	18	and	and	CCONJ
ejpam-6835	786	19	engineering	engineering	NOUN
ejpam-6835	786	20	,	,	PUNCT
ejpam-6835	786	21	page	page	NOUN
ejpam-6835	786	22	329	329	NUM
ejpam-6835	786	23	,	,	PUNCT
ejpam-6835	786	24	2023	2023	NUM
ejpam-6835	786	25	.	.	PUNCT
ejpam-6835	787	1	[	[	X
ejpam-6835	787	2	91	91	NUM
ejpam-6835	787	3	]	]	PUNCT
ejpam-6835	787	4	mohamed	mohamed	PROPN
ejpam-6835	787	5	bisher	bisher	PROPN
ejpam-6835	787	6	zeina	zeina	PROPN
ejpam-6835	787	7	,	,	PUNCT
ejpam-6835	787	8	nizar	nizar	PROPN
ejpam-6835	787	9	altounji	altounji	PROPN
ejpam-6835	787	10	,	,	PUNCT
ejpam-6835	787	11	mohammad	mohammad	PROPN
ejpam-6835	787	12	abobala	abobala	NOUN
ejpam-6835	787	13	,	,	PUNCT
ejpam-6835	787	14	and	and	CCONJ
ejpam-6835	787	15	yasin	yasin	PROPN
ejpam-6835	787	16	karmouta	karmouta	PROPN
ejpam-6835	787	17	.	.	PUNCT
ejpam-6835	788	1	introduction	introduction	NOUN
ejpam-6835	788	2	to	to	ADP
ejpam-6835	788	3	symbolic	symbolic	ADJ
ejpam-6835	788	4	2	2	NUM
ejpam-6835	788	5	-	-	PUNCT
ejpam-6835	788	6	plithogenic	plithogenic	ADJ
ejpam-6835	788	7	probability	probability	NOUN
ejpam-6835	788	8	theory	theory	NOUN
ejpam-6835	788	9	.	.	PUNCT
ejpam-6835	789	1	infinite	infinite	ADJ
ejpam-6835	789	2	study	study	NOUN
ejpam-6835	789	3	,	,	PUNCT
ejpam-6835	789	4	2023	2023	NUM
ejpam-6835	789	5	.	.	PUNCT