id	sid	tid	token	lemma	pos
ejpam-5673	1	1	european	european	PROPN
ejpam-5673	1	2	journal	journal	PROPN
ejpam-5673	1	3	of	of	ADP
ejpam-5673	1	4	pure	pure	ADJ
ejpam-5673	1	5	and	and	CCONJ
ejpam-5673	1	6	applied	applied	ADJ
ejpam-5673	1	7	mathematics	mathematic	NOUN
ejpam-5673	1	8	2025	2025	NUM
ejpam-5673	1	9	,	,	PUNCT
ejpam-5673	1	10	vol	vol	NOUN
ejpam-5673	1	11	.	.	PROPN
ejpam-5673	1	12	18	18	NUM
ejpam-5673	1	13	,	,	PUNCT
ejpam-5673	1	14	issue	issue	NOUN
ejpam-5673	1	15	2	2	NUM
ejpam-5673	1	16	,	,	PUNCT
ejpam-5673	1	17	article	article	NOUN
ejpam-5673	1	18	number	number	NOUN
ejpam-5673	1	19	5673	5673	NUM
ejpam-5673	1	20	issn	issn	VERB
ejpam-5673	1	21	1307	1307	NUM
ejpam-5673	1	22	-	-	SYM
ejpam-5673	1	23	5543	5543	NUM
ejpam-5673	1	24	–	–	PUNCT
ejpam-5673	1	25	ejpam.com	ejpam.com	X
ejpam-5673	1	26	published	publish	VERB
ejpam-5673	1	27	by	by	ADP
ejpam-5673	1	28	new	new	PROPN
ejpam-5673	1	29	york	york	PROPN
ejpam-5673	1	30	business	business	PROPN
ejpam-5673	1	31	global	global	ADJ
ejpam-5673	1	32	total	total	ADJ
ejpam-5673	1	33	edge	edge	NOUN
ejpam-5673	1	34	irregularity	irregularity	NOUN
ejpam-5673	1	35	strength	strength	NOUN
ejpam-5673	1	36	of	of	ADP
ejpam-5673	1	37	star	star	NOUN
ejpam-5673	1	38	snake	snake	NOUN
ejpam-5673	1	39	graphs	graph	VERB
ejpam-5673	1	40	hala	hala	PROPN
ejpam-5673	1	41	attiya1,∗	attiya1,∗	PROPN
ejpam-5673	1	42	,	,	PUNCT
ejpam-5673	1	43	nasr	nasr	PROPN
ejpam-5673	1	44	ahmed2,3	ahmed2,3	PROPN
ejpam-5673	1	45	,	,	PUNCT
ejpam-5673	1	46	fatma	fatma	PROPN
ejpam-5673	1	47	salama4	salama4	PROPN
ejpam-5673	2	1	1	1	NUM
ejpam-5673	2	2	basic	basic	ADJ
ejpam-5673	2	3	science	science	NOUN
ejpam-5673	2	4	department	department	NOUN
ejpam-5673	2	5	,	,	PUNCT
ejpam-5673	2	6	faculty	faculty	NOUN
ejpam-5673	2	7	of	of	ADP
ejpam-5673	2	8	technology	technology	NOUN
ejpam-5673	2	9	and	and	CCONJ
ejpam-5673	2	10	education	education	NOUN
ejpam-5673	2	11	,	,	PUNCT
ejpam-5673	2	12	beni	beni	ADJ
ejpam-5673	2	13	-	-	ADJ
ejpam-5673	2	14	suef	suef	ADJ
ejpam-5673	2	15	university	university	NOUN
ejpam-5673	2	16	,	,	PUNCT
ejpam-5673	2	17	egypt	egypt	PROPN
ejpam-5673	2	18	2	2	NUM
ejpam-5673	2	19	mathematics	mathematics	PROPN
ejpam-5673	2	20	department	department	NOUN
ejpam-5673	2	21	,	,	PUNCT
ejpam-5673	2	22	faculty	faculty	NOUN
ejpam-5673	2	23	of	of	ADP
ejpam-5673	2	24	science	science	NOUN
ejpam-5673	2	25	,	,	PUNCT
ejpam-5673	2	26	taibah	taibah	PROPN
ejpam-5673	2	27	university	university	PROPN
ejpam-5673	2	28	,	,	PUNCT
ejpam-5673	2	29	saudi	saudi	PROPN
ejpam-5673	2	30	arabia	arabia	PROPN
ejpam-5673	2	31	3	3	NUM
ejpam-5673	2	32	astronomy	astronomy	NOUN
ejpam-5673	2	33	department	department	NOUN
ejpam-5673	2	34	,	,	PUNCT
ejpam-5673	2	35	national	national	PROPN
ejpam-5673	2	36	research	research	PROPN
ejpam-5673	2	37	institute	institute	PROPN
ejpam-5673	2	38	of	of	ADP
ejpam-5673	2	39	astronomy	astronomy	NOUN
ejpam-5673	2	40	and	and	CCONJ
ejpam-5673	2	41	geophysics	geophysic	NOUN
ejpam-5673	2	42	,	,	PUNCT
ejpam-5673	2	43	cairo	cairo	PROPN
ejpam-5673	2	44	,	,	PUNCT
ejpam-5673	2	45	egypt	egypt	PROPN
ejpam-5673	2	46	4	4	NUM
ejpam-5673	2	47	mathematics	mathematics	PROPN
ejpam-5673	2	48	department	department	NOUN
ejpam-5673	2	49	,	,	PUNCT
ejpam-5673	2	50	faculty	faculty	NOUN
ejpam-5673	2	51	of	of	ADP
ejpam-5673	2	52	science	science	PROPN
ejpam-5673	2	53	,	,	PUNCT
ejpam-5673	2	54	tanta	tanta	PROPN
ejpam-5673	2	55	university	university	PROPN
ejpam-5673	2	56	,	,	PUNCT
ejpam-5673	2	57	tanta	tanta	PROPN
ejpam-5673	2	58	,	,	PUNCT
ejpam-5673	2	59	egypt	egypt	PROPN
ejpam-5673	2	60	abstract	abstract	PROPN
ejpam-5673	2	61	.	.	PUNCT
ejpam-5673	3	1	an	an	DET
ejpam-5673	3	2	edge	edge	NOUN
ejpam-5673	3	3	irregular	irregular	ADJ
ejpam-5673	3	4	total	total	ADJ
ejpam-5673	3	5	k	k	NOUN
ejpam-5673	3	6	-	-	NOUN
ejpam-5673	3	7	labeling	labeling	NOUN
ejpam-5673	3	8	on	on	ADP
ejpam-5673	3	9	simple	simple	ADJ
ejpam-5673	3	10	and	and	CCONJ
ejpam-5673	3	11	undirected	undirected	ADJ
ejpam-5673	3	12	graph	graph	NOUN
ejpam-5673	3	13	g(v	g(v	NOUN
ejpam-5673	3	14	,	,	PUNCT
ejpam-5673	3	15	e	e	NOUN
ejpam-5673	3	16	)	)	PUNCT
ejpam-5673	3	17	is	be	AUX
ejpam-5673	3	18	a	a	DET
ejpam-5673	3	19	map	map	NOUN
ejpam-5673	3	20	f	f	NOUN
ejpam-5673	3	21	:	:	PUNCT
ejpam-5673	3	22	v	v	ADP
ejpam-5673	3	23	∪	∪	X
ejpam-5673	3	24	e	e	X
ejpam-5673	3	25	→	→	PUNCT
ejpam-5673	3	26	{	{	PUNCT
ejpam-5673	3	27	1	1	NUM
ejpam-5673	3	28	,	,	PUNCT
ejpam-5673	3	29	2	2	NUM
ejpam-5673	3	30	,	,	PUNCT
ejpam-5673	3	31	.	.	PUNCT
ejpam-5673	3	32	.	.	PUNCT
ejpam-5673	4	1	.	.	PUNCT
ejpam-5673	5	1	,	,	PUNCT
ejpam-5673	5	2	k	k	X
ejpam-5673	5	3	}	}	PUNCT
ejpam-5673	5	4	such	such	ADJ
ejpam-5673	5	5	that	that	SCONJ
ejpam-5673	5	6	for	for	ADP
ejpam-5673	5	7	any	any	DET
ejpam-5673	5	8	different	different	ADJ
ejpam-5673	5	9	edge	edge	NOUN
ejpam-5673	5	10	xy	xy	PROPN
ejpam-5673	6	1	and	and	CCONJ
ejpam-5673	6	2	x	x	SYM
ejpam-5673	6	3	′	′	NUM
ejpam-5673	6	4	y	y	NOUN
ejpam-5673	6	5	′	′	NUM
ejpam-5673	6	6	their	their	PRON
ejpam-5673	6	7	weights	weight	NOUN
ejpam-5673	6	8	f(x	f(x	PROPN
ejpam-5673	6	9	)	)	PUNCT
ejpam-5673	7	1	+	+	NUM
ejpam-5673	7	2	f(xy	f(xy	NOUN
ejpam-5673	7	3	)	)	PUNCT
ejpam-5673	8	1	+	+	SYM
ejpam-5673	8	2	f(y	f(y	NOUN
ejpam-5673	8	3	)	)	PUNCT
ejpam-5673	8	4	and	and	CCONJ
ejpam-5673	8	5	f	f	PROPN
ejpam-5673	8	6	(	(	PUNCT
ejpam-5673	8	7	x	x	NOUN
ejpam-5673	9	1	′	′	NUM
ejpam-5673	9	2	)	)	PUNCT
ejpam-5673	10	1	+	+	CCONJ
ejpam-5673	10	2	f	f	X
ejpam-5673	10	3	(	(	PUNCT
ejpam-5673	10	4	x	x	X
ejpam-5673	10	5	′	′	NUM
ejpam-5673	10	6	y	y	NOUN
ejpam-5673	10	7	′	′	NUM
ejpam-5673	10	8	)	)	PUNCT
ejpam-5673	11	1	+	+	CCONJ
ejpam-5673	11	2	f(y	f(y	ADJ
ejpam-5673	11	3	′	′	NUM
ejpam-5673	11	4	)	)	PUNCT
ejpam-5673	11	5	are	be	AUX
ejpam-5673	11	6	distinct	distinct	ADJ
ejpam-5673	11	7	.	.	PUNCT
ejpam-5673	12	1	the	the	DET
ejpam-5673	12	2	minimum	minimum	ADJ
ejpam-5673	12	3	positive	positive	ADJ
ejpam-5673	12	4	integer	integer	NOUN
ejpam-5673	12	5	k	k	PROPN
ejpam-5673	12	6	for	for	ADP
ejpam-5673	12	7	which	which	PRON
ejpam-5673	12	8	the	the	DET
ejpam-5673	12	9	graph	graph	NOUN
ejpam-5673	12	10	g	g	PROPN
ejpam-5673	12	11	has	have	VERB
ejpam-5673	12	12	an	an	DET
ejpam-5673	12	13	edge	edge	NOUN
ejpam-5673	12	14	irregular	irregular	ADJ
ejpam-5673	12	15	total	total	ADJ
ejpam-5673	12	16	k	k	NOUN
ejpam-5673	12	17	-	-	NOUN
ejpam-5673	12	18	labeling	labeling	NOUN
ejpam-5673	12	19	is	be	AUX
ejpam-5673	12	20	called	call	VERB
ejpam-5673	12	21	the	the	DET
ejpam-5673	12	22	total	total	ADJ
ejpam-5673	12	23	edge	edge	NOUN
ejpam-5673	12	24	irregularity	irregularity	NOUN
ejpam-5673	12	25	strength	strength	NOUN
ejpam-5673	12	26	of	of	ADP
ejpam-5673	12	27	g	g	NOUN
ejpam-5673	12	28	and	and	CCONJ
ejpam-5673	12	29	is	be	AUX
ejpam-5673	12	30	denoted	denote	VERB
ejpam-5673	12	31	by	by	ADP
ejpam-5673	12	32	tes(g	tes(g	PROPN
ejpam-5673	12	33	)	)	PUNCT
ejpam-5673	12	34	.	.	PUNCT
ejpam-5673	13	1	in	in	ADP
ejpam-5673	13	2	different	different	ADJ
ejpam-5673	13	3	fields	field	NOUN
ejpam-5673	13	4	in	in	ADP
ejpam-5673	13	5	our	our	PRON
ejpam-5673	13	6	life	life	NOUN
ejpam-5673	13	7	,	,	PUNCT
ejpam-5673	13	8	like	like	ADP
ejpam-5673	13	9	physics	physics	NOUN
ejpam-5673	13	10	,	,	PUNCT
ejpam-5673	13	11	coding	code	VERB
ejpam-5673	13	12	theory	theory	NOUN
ejpam-5673	13	13	and	and	CCONJ
ejpam-5673	13	14	computer	computer	NOUN
ejpam-5673	13	15	science	science	NOUN
ejpam-5673	13	16	,	,	PUNCT
ejpam-5673	13	17	graph	graph	NOUN
ejpam-5673	13	18	labeling	labeling	NOUN
ejpam-5673	13	19	plays	play	VERB
ejpam-5673	13	20	a	a	DET
ejpam-5673	13	21	vital	vital	ADJ
ejpam-5673	13	22	role	role	NOUN
ejpam-5673	13	23	and	and	CCONJ
ejpam-5673	13	24	appears	appear	VERB
ejpam-5673	13	25	in	in	ADP
ejpam-5673	13	26	many	many	ADJ
ejpam-5673	13	27	applications	application	NOUN
ejpam-5673	13	28	.	.	PUNCT
ejpam-5673	14	1	a	a	DET
ejpam-5673	14	2	labeling	labeling	NOUN
ejpam-5673	14	3	of	of	ADP
ejpam-5673	14	4	a	a	DET
ejpam-5673	14	5	graph	graph	NOUN
ejpam-5673	14	6	m(v	m(v	NOUN
ejpam-5673	14	7	,	,	PUNCT
ejpam-5673	14	8	e	e	NOUN
ejpam-5673	14	9	)	)	PUNCT
ejpam-5673	14	10	is	be	AUX
ejpam-5673	14	11	a	a	DET
ejpam-5673	14	12	map	map	NOUN
ejpam-5673	14	13	which	which	PRON
ejpam-5673	14	14	assigns	assign	VERB
ejpam-5673	14	15	each	each	DET
ejpam-5673	14	16	element	element	NOUN
ejpam-5673	14	17	in	in	ADP
ejpam-5673	14	18	g	g	NOUN
ejpam-5673	14	19	with	with	ADP
ejpam-5673	14	20	a	a	DET
ejpam-5673	14	21	positive	positive	ADJ
ejpam-5673	14	22	integer	integer	NOUN
ejpam-5673	14	23	number	number	NOUN
ejpam-5673	14	24	.	.	PUNCT
ejpam-5673	15	1	an	an	DET
ejpam-5673	15	2	edge	edge	NOUN
ejpam-5673	15	3	irregular	irregular	ADJ
ejpam-5673	15	4	total	total	ADJ
ejpam-5673	15	5	ζ	ζ	NOUN
ejpam-5673	15	6	-labeling	-labeling	NOUN
ejpam-5673	15	7	is	be	AUX
ejpam-5673	15	8	a	a	DET
ejpam-5673	15	9	function	function	NOUN
ejpam-5673	15	10	ω	ω	NOUN
ejpam-5673	15	11	:	:	PUNCT
ejpam-5673	15	12	v	v	NOUN
ejpam-5673	15	13	(	(	PUNCT
ejpam-5673	15	14	m)∪e(m	m)∪e(m	NOUN
ejpam-5673	15	15	)	)	PUNCT
ejpam-5673	15	16	→	→	SYM
ejpam-5673	15	17	{	{	PUNCT
ejpam-5673	15	18	1	1	NUM
ejpam-5673	15	19	,	,	PUNCT
ejpam-5673	15	20	2	2	NUM
ejpam-5673	15	21	,	,	PUNCT
ejpam-5673	15	22	3	3	NUM
ejpam-5673	15	23	,	,	PUNCT
ejpam-5673	15	24	....	....	PUNCT
ejpam-5673	15	25	,	,	PUNCT
ejpam-5673	15	26	ζ	ζ	X
ejpam-5673	15	27	}	}	PUNCT
ejpam-5673	15	28	such	such	ADJ
ejpam-5673	15	29	that	that	PRON
ejpam-5673	15	30	wω(h	wω(h	X
ejpam-5673	15	31	)	)	PUNCT
ejpam-5673	15	32	̸=	̸=	PROPN
ejpam-5673	15	33	wω(z	wω(z	PUNCT
ejpam-5673	15	34	)	)	PUNCT
ejpam-5673	15	35	where	where	SCONJ
ejpam-5673	15	36	wω(h	wω(h	NUM
ejpam-5673	15	37	)	)	PUNCT
ejpam-5673	15	38	and	and	CCONJ
ejpam-5673	15	39	wω(z	wω(z	PUNCT
ejpam-5673	15	40	)	)	PUNCT
ejpam-5673	15	41	are	be	AUX
ejpam-5673	15	42	weights	weight	NOUN
ejpam-5673	15	43	for	for	ADP
ejpam-5673	15	44	any	any	DET
ejpam-5673	15	45	two	two	NUM
ejpam-5673	15	46	distinct	distinct	ADJ
ejpam-5673	15	47	edges	edge	NOUN
ejpam-5673	15	48	.	.	PUNCT
ejpam-5673	16	1	in	in	ADP
ejpam-5673	16	2	this	this	DET
ejpam-5673	16	3	case	case	NOUN
ejpam-5673	16	4	,	,	PUNCT
ejpam-5673	16	5	m	m	PROPN
ejpam-5673	16	6	has	have	VERB
ejpam-5673	16	7	total	total	ADJ
ejpam-5673	16	8	edge	edge	NOUN
ejpam-5673	16	9	irregularity	irregularity	NOUN
ejpam-5673	16	10	strength	strength	NOUN
ejpam-5673	16	11	(	(	PUNCT
ejpam-5673	16	12	teis	teis	PROPN
ejpam-5673	16	13	)	)	PUNCT
ejpam-5673	16	14	if	if	SCONJ
ejpam-5673	16	15	ζ	ζ	NOUN
ejpam-5673	16	16	is	be	AUX
ejpam-5673	16	17	minimum	minimum	ADJ
ejpam-5673	16	18	.	.	PUNCT
ejpam-5673	17	1	in	in	ADP
ejpam-5673	17	2	our	our	PRON
ejpam-5673	17	3	paper	paper	NOUN
ejpam-5673	17	4	,	,	PUNCT
ejpam-5673	17	5	we	we	PRON
ejpam-5673	17	6	defined	define	VERB
ejpam-5673	17	7	a	a	DET
ejpam-5673	17	8	new	new	ADJ
ejpam-5673	17	9	type	type	NOUN
ejpam-5673	17	10	of	of	ADP
ejpam-5673	17	11	graphs	graph	NOUN
ejpam-5673	17	12	called	call	VERB
ejpam-5673	17	13	a	a	DET
ejpam-5673	17	14	triple	triple	ADJ
ejpam-5673	17	15	star	star	NOUN
ejpam-5673	17	16	snake	snake	NOUN
ejpam-5673	17	17	graph	graph	NOUN
ejpam-5673	17	18	ps3,nand	ps3,nand	CCONJ
ejpam-5673	17	19	m	m	PROPN
ejpam-5673	17	20	-	-	PROPN
ejpam-5673	17	21	star	star	NOUN
ejpam-5673	17	22	snake	snake	NOUN
ejpam-5673	17	23	graph	graph	NOUN
ejpam-5673	17	24	psm	psm	PROPN
ejpam-5673	17	25	,	,	PUNCT
ejpam-5673	17	26	n.	n.	PROPN
ejpam-5673	17	27	also	also	ADV
ejpam-5673	17	28	,	,	PUNCT
ejpam-5673	17	29	we	we	PRON
ejpam-5673	17	30	investigated	investigate	VERB
ejpam-5673	17	31	teis	teis	NOUN
ejpam-5673	17	32	for	for	ADP
ejpam-5673	17	33	a	a	DET
ejpam-5673	17	34	triple	triple	ADJ
ejpam-5673	17	35	star	star	NOUN
ejpam-5673	17	36	snake	snake	NOUN
ejpam-5673	17	37	graph	graph	NOUN
ejpam-5673	17	38	ps3,n	ps3,n	NOUN
ejpam-5673	17	39	.	.	PUNCT
ejpam-5673	18	1	we	we	PRON
ejpam-5673	18	2	then	then	ADV
ejpam-5673	18	3	generalized	generalize	VERB
ejpam-5673	18	4	the	the	DET
ejpam-5673	18	5	results	result	NOUN
ejpam-5673	18	6	for	for	ADP
ejpam-5673	18	7	m	m	PROPN
ejpam-5673	18	8	-	-	ADJ
ejpam-5673	18	9	star	star	NOUN
ejpam-5673	18	10	snake	snake	NOUN
ejpam-5673	18	11	graph	graph	NOUN
ejpam-5673	18	12	psm	psm	PROPN
ejpam-5673	18	13	,	,	PUNCT
ejpam-5673	18	14	n.	n.	NOUN
ejpam-5673	18	15	key	key	ADJ
ejpam-5673	18	16	words	word	NOUN
ejpam-5673	18	17	and	and	CCONJ
ejpam-5673	18	18	phrases	phrase	NOUN
ejpam-5673	18	19	:	:	PUNCT
ejpam-5673	18	20	edge	edge	VERB
ejpam-5673	18	21	labeling	labeling	NOUN
ejpam-5673	18	22	,	,	PUNCT
ejpam-5673	18	23	irregularity	irregularity	NOUN
ejpam-5673	18	24	strength	strength	NOUN
ejpam-5673	18	25	,	,	PUNCT
ejpam-5673	18	26	irregular	irregular	ADJ
ejpam-5673	18	27	labelling	labelling	NOUN
ejpam-5673	18	28	total	total	ADJ
ejpam-5673	18	29	edge	edge	NOUN
ejpam-5673	18	30	irregularity	irregularity	NOUN
ejpam-5673	18	31	strength	strength	NOUN
ejpam-5673	18	32	,	,	PUNCT
ejpam-5673	18	33	star	star	NOUN
ejpam-5673	18	34	snake	snake	NOUN
ejpam-5673	18	35	graph	graph	NOUN
ejpam-5673	18	36	1	1	NUM
ejpam-5673	18	37	.	.	PUNCT
ejpam-5673	19	1	introduction	introduction	NOUN
ejpam-5673	19	2	in	in	ADP
ejpam-5673	19	3	real	real	ADJ
ejpam-5673	19	4	-	-	PUNCT
ejpam-5673	19	5	world	world	NOUN
ejpam-5673	19	6	systems	system	NOUN
ejpam-5673	19	7	,	,	PUNCT
ejpam-5673	19	8	interactions	interaction	NOUN
ejpam-5673	19	9	between	between	ADP
ejpam-5673	19	10	pairs	pair	NOUN
ejpam-5673	19	11	of	of	ADP
ejpam-5673	19	12	entities	entity	NOUN
ejpam-5673	19	13	take	take	VERB
ejpam-5673	19	14	place	place	NOUN
ejpam-5673	19	15	every	every	DET
ejpam-5673	19	16	day	day	NOUN
ejpam-5673	19	17	.	.	PUNCT
ejpam-5673	20	1	examples	example	NOUN
ejpam-5673	20	2	of	of	ADP
ejpam-5673	20	3	these	these	DET
ejpam-5673	20	4	systems	system	NOUN
ejpam-5673	20	5	include	include	VERB
ejpam-5673	20	6	human	human	ADJ
ejpam-5673	20	7	interactions	interaction	NOUN
ejpam-5673	20	8	,	,	PUNCT
ejpam-5673	20	9	financial	financial	ADJ
ejpam-5673	20	10	networks	network	NOUN
ejpam-5673	20	11	,	,	PUNCT
ejpam-5673	20	12	social	social	ADJ
ejpam-5673	20	13	networks	network	NOUN
ejpam-5673	20	14	,	,	PUNCT
ejpam-5673	20	15	and	and	CCONJ
ejpam-5673	20	16	biological	biological	ADJ
ejpam-5673	20	17	networks	network	NOUN
ejpam-5673	20	18	.	.	PUNCT
ejpam-5673	21	1	in	in	ADP
ejpam-5673	21	2	the	the	DET
ejpam-5673	21	3	field	field	NOUN
ejpam-5673	21	4	of	of	ADP
ejpam-5673	21	5	graph	graph	NOUN
ejpam-5673	21	6	theory	theory	NOUN
ejpam-5673	21	7	,	,	PUNCT
ejpam-5673	21	8	such	such	ADJ
ejpam-5673	21	9	pairs	pair	NOUN
ejpam-5673	21	10	of	of	ADP
ejpam-5673	21	11	entities	entity	NOUN
ejpam-5673	21	12	are	be	AUX
ejpam-5673	21	13	referred	refer	VERB
ejpam-5673	21	14	to	to	ADP
ejpam-5673	21	15	as	as	ADP
ejpam-5673	21	16	a	a	DET
ejpam-5673	21	17	network	network	NOUN
ejpam-5673	21	18	,	,	PUNCT
ejpam-5673	21	19	where	where	SCONJ
ejpam-5673	21	20	the	the	DET
ejpam-5673	21	21	substances	substance	NOUN
ejpam-5673	21	22	represent	represent	VERB
ejpam-5673	21	23	the	the	DET
ejpam-5673	21	24	vertices	vertex	NOUN
ejpam-5673	21	25	and	and	CCONJ
ejpam-5673	21	26	the	the	DET
ejpam-5673	21	27	connections	connection	NOUN
ejpam-5673	21	28	between	between	ADP
ejpam-5673	21	29	any	any	DET
ejpam-5673	21	30	two	two	NUM
ejpam-5673	21	31	substances	substance	NOUN
ejpam-5673	21	32	are	be	AUX
ejpam-5673	21	33	denoted	denote	VERB
ejpam-5673	21	34	as	as	ADP
ejpam-5673	21	35	edges	edge	NOUN
ejpam-5673	21	36	[	[	X
ejpam-5673	21	37	1	1	NUM
ejpam-5673	21	38	,	,	PUNCT
ejpam-5673	21	39	2	2	NUM
ejpam-5673	21	40	]	]	PUNCT
ejpam-5673	21	41	.	.	PUNCT
ejpam-5673	22	1	the	the	DET
ejpam-5673	22	2	use	use	NOUN
ejpam-5673	22	3	of	of	ADP
ejpam-5673	22	4	graph	graph	NOUN
ejpam-5673	22	5	theory	theory	NOUN
ejpam-5673	22	6	in	in	ADP
ejpam-5673	22	7	condensed	condense	VERB
ejpam-5673	22	8	matter	matter	NOUN
ejpam-5673	22	9	physics	physics	NOUN
ejpam-5673	22	10	,	,	PUNCT
ejpam-5673	22	11	pioneered	pioneer	VERB
ejpam-5673	22	12	by	by	ADP
ejpam-5673	22	13	the	the	DET
ejpam-5673	22	14	work	work	NOUN
ejpam-5673	22	15	of	of	ADP
ejpam-5673	22	16	many	many	ADJ
ejpam-5673	22	17	chemical	chemical	ADJ
ejpam-5673	22	18	and	and	CCONJ
ejpam-5673	22	19	physical	physical	ADJ
ejpam-5673	22	20	g(harary	g(harary	NOUN
ejpam-5673	22	21	,	,	PUNCT
ejpam-5673	22	22	1968	1968	NUM
ejpam-5673	22	23	;	;	PUNCT
ejpam-5673	22	24	trinajstić	trinajstić	ADJ
ejpam-5673	22	25	,	,	PUNCT
ejpam-5673	22	26	∗corresponding	∗corresponde	VERB
ejpam-5673	22	27	author	author	NOUN
ejpam-5673	22	28	.	.	PUNCT
ejpam-5673	23	1	doi	doi	NOUN
ejpam-5673	23	2	:	:	PUNCT
ejpam-5673	23	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5673	https://doi.org/10.29020/nybg.ejpam.v18i2.5673	PROPN
ejpam-5673	23	4	email	email	NOUN
ejpam-5673	23	5	addresses	address	NOUN
ejpam-5673	23	6	:	:	PUNCT
ejpam-5673	23	7	hala.attiya@techedu.bsu.edu.eg	hala.attiya@techedu.bsu.edu.eg	PROPN
ejpam-5673	23	8	(	(	PUNCT
ejpam-5673	23	9	h.	h.	PROPN
ejpam-5673	23	10	attiya	attiya	PROPN
ejpam-5673	23	11	)	)	PUNCT
ejpam-5673	23	12	,	,	PUNCT
ejpam-5673	23	13	nkhalifa@taibahu.edu.sa	nkhalifa@taibahu.edu.sa	NOUN
ejpam-5673	23	14	(	(	PUNCT
ejpam-5673	23	15	n.	n.	PROPN
ejpam-5673	23	16	ahmed	ahmed	PROPN
ejpam-5673	23	17	)	)	PUNCT
ejpam-5673	23	18	,	,	PUNCT
ejpam-5673	23	19	fatma.salama@science.tanta.edu.eg	fatma.salama@science.tanta.edu.eg	PROPN
ejpam-5673	23	20	(	(	PUNCT
ejpam-5673	23	21	f.	f.	PROPN
ejpam-5673	23	22	salama	salama	PROPN
ejpam-5673	23	23	)	)	PUNCT
ejpam-5673	23	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5673	24	1	1	1	NUM
ejpam-5673	24	2	copyright	copyright	NOUN
ejpam-5673	24	3	:	:	PUNCT
ejpam-5673	24	4	©	©	PROPN
ejpam-5673	24	5	2025	2025	NUM
ejpam-5673	24	6	the	the	DET
ejpam-5673	24	7	author(s	author(s	NOUN
ejpam-5673	24	8	)	)	PUNCT
ejpam-5673	24	9	.	.	PUNCT
ejpam-5673	25	1	(	(	PUNCT
ejpam-5673	25	2	cc	cc	NOUN
ejpam-5673	25	3	by	by	ADP
ejpam-5673	25	4	-	-	PUNCT
ejpam-5673	25	5	nc	nc	PROPN
ejpam-5673	25	6	4.0	4.0	NUM
ejpam-5673	25	7	)	)	PUNCT
ejpam-5673	25	8	h.	h.	PROPN
ejpam-5673	25	9	attiya	attiya	PROPN
ejpam-5673	25	10	,	,	PUNCT
ejpam-5673	25	11	n.	n.	PROPN
ejpam-5673	25	12	ahmed	ahmed	PROPN
ejpam-5673	25	13	,	,	PUNCT
ejpam-5673	25	14	f.	f.	PROPN
ejpam-5673	25	15	salama	salama	PROPN
ejpam-5673	25	16	/	/	SYM
ejpam-5673	25	17	eur	eur	PROPN
ejpam-5673	25	18	.	.	PUNCT
ejpam-5673	26	1	j.	j.	PROPN
ejpam-5673	26	2	pure	pure	PROPN
ejpam-5673	26	3	appl	appl	PROPN
ejpam-5673	26	4	.	.	PROPN
ejpam-5673	26	5	math	math	PROPN
ejpam-5673	26	6	,	,	PUNCT
ejpam-5673	26	7	18	18	NUM
ejpam-5673	26	8	(	(	PUNCT
ejpam-5673	26	9	2	2	NUM
ejpam-5673	26	10	)	)	PUNCT
ejpam-5673	26	11	(	(	PUNCT
ejpam-5673	26	12	2025	2025	NUM
ejpam-5673	26	13	)	)	PUNCT
ejpam-5673	26	14	,	,	PUNCT
ejpam-5673	26	15	5673	5673	NUM
ejpam-5673	26	16	2	2	NUM
ejpam-5673	26	17	of	of	ADP
ejpam-5673	26	18	11	11	NUM
ejpam-5673	26	19	1992	1992	NUM
ejpam-5673	26	20	)	)	PUNCT
ejpam-5673	26	21	,	,	PUNCT
ejpam-5673	26	22	is	be	AUX
ejpam-5673	26	23	well	well	ADV
ejpam-5673	26	24	stablished	stablishe	VERB
ejpam-5673	26	25	and	and	CCONJ
ejpam-5673	26	26	gaining	gain	VERB
ejpam-5673	26	27	more	more	ADJ
ejpam-5673	26	28	popularity	popularity	NOUN
ejpam-5673	26	29	.	.	PUNCT
ejpam-5673	27	1	some	some	PRON
ejpam-5673	27	2	of	of	ADP
ejpam-5673	27	3	the	the	DET
ejpam-5673	27	4	most	most	ADV
ejpam-5673	27	5	important	important	ADJ
ejpam-5673	27	6	areas	area	NOUN
ejpam-5673	27	7	of	of	ADP
ejpam-5673	27	8	application	application	NOUN
ejpam-5673	27	9	of	of	ADP
ejpam-5673	27	10	graph	graph	NOUN
ejpam-5673	27	11	theory	theory	NOUN
ejpam-5673	27	12	in	in	ADP
ejpam-5673	27	13	physics	physics	NOUN
ejpam-5673	27	14	include	include	VERB
ejpam-5673	27	15	condensed	condense	VERB
ejpam-5673	27	16	matter	matter	NOUN
ejpam-5673	27	17	physics	physics	NOUN
ejpam-5673	27	18	,	,	PUNCT
ejpam-5673	27	19	statistical	statistical	ADJ
ejpam-5673	27	20	physics	physics	NOUN
ejpam-5673	27	21	,	,	PUNCT
ejpam-5673	27	22	quantum	quantum	ADJ
ejpam-5673	27	23	electrodynamics	electrodynamic	NOUN
ejpam-5673	27	24	,	,	PUNCT
ejpam-5673	27	25	electrical	electrical	ADJ
ejpam-5673	27	26	networks	network	NOUN
ejpam-5673	27	27	and	and	CCONJ
ejpam-5673	27	28	vibrational	vibrational	ADJ
ejpam-5673	27	29	problems	problem	NOUN
ejpam-5673	27	30	[	[	X
ejpam-5673	27	31	3–5	3–5	X
ejpam-5673	27	32	]	]	PUNCT
ejpam-5673	27	33	.	.	PUNCT
ejpam-5673	28	1	the	the	DET
ejpam-5673	28	2	graph	graph	NOUN
ejpam-5673	28	3	g	g	PROPN
ejpam-5673	28	4	is	be	AUX
ejpam-5673	28	5	the	the	DET
ejpam-5673	28	6	ordered	order	VERB
ejpam-5673	28	7	pair	pair	NOUN
ejpam-5673	28	8	(	(	PUNCT
ejpam-5673	28	9	v	v	NOUN
ejpam-5673	28	10	(	(	PUNCT
ejpam-5673	28	11	g	g	NOUN
ejpam-5673	28	12	)	)	PUNCT
ejpam-5673	28	13	,	,	PUNCT
ejpam-5673	28	14	e(g	e(g	PROPN
ejpam-5673	28	15	)	)	PUNCT
ejpam-5673	28	16	)	)	PUNCT
ejpam-5673	28	17	where	where	SCONJ
ejpam-5673	28	18	v	v	X
ejpam-5673	28	19	(	(	PUNCT
ejpam-5673	28	20	g	g	NOUN
ejpam-5673	28	21	)	)	PUNCT
ejpam-5673	28	22	is	be	AUX
ejpam-5673	28	23	the	the	DET
ejpam-5673	28	24	set	set	NOUN
ejpam-5673	28	25	of	of	ADP
ejpam-5673	28	26	elements	element	NOUN
ejpam-5673	28	27	called	call	VERB
ejpam-5673	28	28	vertices	vertex	NOUN
ejpam-5673	28	29	and	and	CCONJ
ejpam-5673	28	30	e(g	e(g	PROPN
ejpam-5673	28	31	)	)	PUNCT
ejpam-5673	28	32	is	be	AUX
ejpam-5673	28	33	a	a	DET
ejpam-5673	28	34	finite	finite	ADJ
ejpam-5673	28	35	set	set	NOUN
ejpam-5673	28	36	of	of	ADP
ejpam-5673	28	37	pairs	pair	NOUN
ejpam-5673	28	38	of	of	ADP
ejpam-5673	28	39	distinct	distinct	ADJ
ejpam-5673	28	40	elements	element	NOUN
ejpam-5673	28	41	v	v	ADP
ejpam-5673	28	42	(	(	PUNCT
ejpam-5673	28	43	g	g	NOUN
ejpam-5673	28	44	)	)	PUNCT
ejpam-5673	28	45	called	call	VERB
ejpam-5673	28	46	set	set	NOUN
ejpam-5673	28	47	of	of	ADP
ejpam-5673	28	48	edge	edge	NOUN
ejpam-5673	28	49	.	.	PUNCT
ejpam-5673	29	1	two	two	NUM
ejpam-5673	29	2	vertices	vertex	NOUN
ejpam-5673	29	3	such	such	ADJ
ejpam-5673	29	4	as	as	ADP
ejpam-5673	29	5	v1	v1	NOUN
ejpam-5673	29	6	and	and	CCONJ
ejpam-5673	29	7	v2	v2	NOUN
ejpam-5673	29	8	are	be	AUX
ejpam-5673	29	9	called	call	VERB
ejpam-5673	29	10	adjacent	adjacent	ADJ
ejpam-5673	29	11	,	,	PUNCT
ejpam-5673	29	12	whenever	whenever	SCONJ
ejpam-5673	29	13	v1	v1	NOUN
ejpam-5673	29	14	,	,	PUNCT
ejpam-5673	29	15	v2	v2	PROPN
ejpam-5673	29	16	∈	∈	PROPN
ejpam-5673	29	17	e(g	e(g	PROPN
ejpam-5673	29	18	)	)	PUNCT
ejpam-5673	29	19	.	.	PUNCT
ejpam-5673	30	1	labeling	labeling	NOUN
ejpam-5673	30	2	of	of	ADP
ejpam-5673	30	3	graph	graph	NOUN
ejpam-5673	30	4	is	be	AUX
ejpam-5673	30	5	a	a	DET
ejpam-5673	30	6	map	map	NOUN
ejpam-5673	30	7	that	that	PRON
ejpam-5673	30	8	carries	carry	VERB
ejpam-5673	30	9	graph	graph	NOUN
ejpam-5673	30	10	elements	element	NOUN
ejpam-5673	30	11	to	to	ADP
ejpam-5673	30	12	positive	positive	ADJ
ejpam-5673	30	13	integers	integer	NOUN
ejpam-5673	30	14	[	[	X
ejpam-5673	30	15	6	6	NUM
ejpam-5673	30	16	]	]	PUNCT
ejpam-5673	30	17	.	.	PUNCT
ejpam-5673	31	1	the	the	DET
ejpam-5673	31	2	domain	domain	NOUN
ejpam-5673	31	3	of	of	ADP
ejpam-5673	31	4	mapping	mapping	NOUN
ejpam-5673	31	5	is	be	AUX
ejpam-5673	31	6	a	a	DET
ejpam-5673	31	7	vertex	vertex	NOUN
ejpam-5673	31	8	set	set	NOUN
ejpam-5673	31	9	,	,	PUNCT
ejpam-5673	31	10	or	or	CCONJ
ejpam-5673	31	11	an	an	DET
ejpam-5673	31	12	edge	edge	NOUN
ejpam-5673	31	13	set	set	NOUN
ejpam-5673	31	14	,	,	PUNCT
ejpam-5673	31	15	or	or	CCONJ
ejpam-5673	31	16	a	a	DET
ejpam-5673	31	17	union	union	NOUN
ejpam-5673	31	18	of	of	ADP
ejpam-5673	31	19	vertex	vertex	NOUN
ejpam-5673	31	20	and	and	CCONJ
ejpam-5673	31	21	edge	edge	NOUN
ejpam-5673	31	22	sets	set	NOUN
ejpam-5673	31	23	.	.	PUNCT
ejpam-5673	32	1	if	if	SCONJ
ejpam-5673	32	2	the	the	DET
ejpam-5673	32	3	domain	domain	NOUN
ejpam-5673	32	4	is	be	AUX
ejpam-5673	32	5	a	a	DET
ejpam-5673	32	6	vertex	vertex	NOUN
ejpam-5673	32	7	set	set	NOUN
ejpam-5673	32	8	,	,	PUNCT
ejpam-5673	32	9	the	the	DET
ejpam-5673	32	10	labeling	labeling	NOUN
ejpam-5673	32	11	is	be	AUX
ejpam-5673	32	12	called	call	VERB
ejpam-5673	32	13	vertex	vertex	NOUN
ejpam-5673	32	14	labeling	labeling	NOUN
ejpam-5673	32	15	.	.	PUNCT
ejpam-5673	33	1	if	if	SCONJ
ejpam-5673	33	2	the	the	DET
ejpam-5673	33	3	domain	domain	NOUN
ejpam-5673	33	4	is	be	AUX
ejpam-5673	33	5	an	an	DET
ejpam-5673	33	6	edge	edge	NOUN
ejpam-5673	33	7	set	set	NOUN
ejpam-5673	33	8	,	,	PUNCT
ejpam-5673	33	9	the	the	DET
ejpam-5673	33	10	labeling	labeling	NOUN
ejpam-5673	33	11	is	be	AUX
ejpam-5673	33	12	called	call	VERB
ejpam-5673	33	13	edge	edge	NOUN
ejpam-5673	33	14	labeling	labeling	NOUN
ejpam-5673	33	15	.	.	PUNCT
ejpam-5673	34	1	if	if	SCONJ
ejpam-5673	34	2	the	the	DET
ejpam-5673	34	3	domain	domain	NOUN
ejpam-5673	34	4	is	be	AUX
ejpam-5673	34	5	a	a	DET
ejpam-5673	34	6	union	union	NOUN
ejpam-5673	34	7	of	of	ADP
ejpam-5673	34	8	vertex	vertex	NOUN
ejpam-5673	34	9	and	and	CCONJ
ejpam-5673	34	10	edge	edge	NOUN
ejpam-5673	34	11	sets	set	NOUN
ejpam-5673	34	12	,	,	PUNCT
ejpam-5673	34	13	the	the	DET
ejpam-5673	34	14	labeling	labeling	NOUN
ejpam-5673	34	15	is	be	AUX
ejpam-5673	34	16	called	call	VERB
ejpam-5673	34	17	total	total	ADJ
ejpam-5673	34	18	labeling	labeling	NOUN
ejpam-5673	34	19	.	.	PUNCT
ejpam-5673	35	1	on	on	ADP
ejpam-5673	35	2	progress	progress	NOUN
ejpam-5673	35	3	,	,	PUNCT
ejpam-5673	35	4	several	several	ADJ
ejpam-5673	35	5	types	type	NOUN
ejpam-5673	35	6	of	of	ADP
ejpam-5673	35	7	labeling	labeling	NOUN
ejpam-5673	35	8	that	that	PRON
ejpam-5673	35	9	has	have	AUX
ejpam-5673	35	10	been	be	AUX
ejpam-5673	35	11	studied	study	VERB
ejpam-5673	35	12	can	can	AUX
ejpam-5673	35	13	be	be	AUX
ejpam-5673	35	14	seen	see	VERB
ejpam-5673	35	15	on	on	ADP
ejpam-5673	35	16	gallian	gallian	ADJ
ejpam-5673	35	17	[	[	X
ejpam-5673	35	18	7	7	NUM
ejpam-5673	35	19	]	]	PUNCT
ejpam-5673	35	20	.	.	PUNCT
ejpam-5673	36	1	spectral	spectral	ADJ
ejpam-5673	36	2	graph	graph	NOUN
ejpam-5673	36	3	theory	theory	NOUN
ejpam-5673	36	4	is	be	AUX
ejpam-5673	36	5	a	a	DET
ejpam-5673	36	6	beautiful	beautiful	ADJ
ejpam-5673	36	7	branch	branch	NOUN
ejpam-5673	36	8	of	of	ADP
ejpam-5673	36	9	graph	graph	NOUN
ejpam-5673	36	10	theory	theory	NOUN
ejpam-5673	36	11	that	that	PRON
ejpam-5673	36	12	utilizes	utilize	VERB
ejpam-5673	36	13	the	the	DET
ejpam-5673	36	14	eigenvalues	eigenvalue	NOUN
ejpam-5673	36	15	and	and	CCONJ
ejpam-5673	36	16	eigenvectors	eigenvector	NOUN
ejpam-5673	36	17	of	of	ADP
ejpam-5673	36	18	matrices	matrix	NOUN
ejpam-5673	36	19	naturally	naturally	ADV
ejpam-5673	36	20	associated	associate	VERB
ejpam-5673	36	21	with	with	ADP
ejpam-5673	36	22	graphs	graph	NOUN
ejpam-5673	36	23	to	to	PART
ejpam-5673	36	24	study	study	VERB
ejpam-5673	36	25	them	they	PRON
ejpam-5673	36	26	.	.	PUNCT
ejpam-5673	37	1	some	some	DET
ejpam-5673	37	2	interesting	interesting	ADJ
ejpam-5673	37	3	research	research	NOUN
ejpam-5673	37	4	has	have	AUX
ejpam-5673	37	5	been	be	AUX
ejpam-5673	37	6	done	do	VERB
ejpam-5673	37	7	in	in	ADP
ejpam-5673	37	8	the	the	DET
ejpam-5673	37	9	field	field	NOUN
ejpam-5673	37	10	of	of	ADP
ejpam-5673	37	11	spectral	spectral	ADJ
ejpam-5673	37	12	graph	graph	NOUN
ejpam-5673	37	13	theory	theory	NOUN
ejpam-5673	37	14	in	in	ADP
ejpam-5673	37	15	the	the	DET
ejpam-5673	37	16	past	past	ADJ
ejpam-5673	37	17	few	few	ADJ
ejpam-5673	37	18	years	year	NOUN
ejpam-5673	37	19	.	.	PUNCT
ejpam-5673	38	1	the	the	DET
ejpam-5673	38	2	random	random	ADJ
ejpam-5673	38	3	walks	walk	NOUN
ejpam-5673	38	4	of	of	ADP
ejpam-5673	38	5	octagonal	octagonal	ADJ
ejpam-5673	38	6	cell	cell	NOUN
ejpam-5673	38	7	network	network	NOUN
ejpam-5673	38	8	has	have	AUX
ejpam-5673	38	9	been	be	AUX
ejpam-5673	38	10	investigated	investigate	VERB
ejpam-5673	38	11	in	in	ADP
ejpam-5673	38	12	[	[	X
ejpam-5673	38	13	8	8	NUM
ejpam-5673	38	14	]	]	PUNCT
ejpam-5673	38	15	using	use	VERB
ejpam-5673	38	16	the	the	DET
ejpam-5673	38	17	laplacian	laplacian	ADJ
ejpam-5673	38	18	spectrum	spectrum	NOUN
ejpam-5673	38	19	method	method	NOUN
ejpam-5673	38	20	where	where	SCONJ
ejpam-5673	38	21	the	the	DET
ejpam-5673	38	22	mean	mean	ADJ
ejpam-5673	38	23	first	first	ADJ
ejpam-5673	38	24	passage	passage	NOUN
ejpam-5673	38	25	time	time	NOUN
ejpam-5673	38	26	(	(	PUNCT
ejpam-5673	38	27	τ	τ	X
ejpam-5673	38	28	)	)	PUNCT
ejpam-5673	38	29	and	and	CCONJ
ejpam-5673	38	30	kemeny	kemeny	PROPN
ejpam-5673	38	31	’s	’s	PART
ejpam-5673	38	32	constant	constant	PROPN
ejpam-5673	38	33	ξ	ξ	PROPN
ejpam-5673	38	34	between	between	ADP
ejpam-5673	38	35	nodes	node	NOUN
ejpam-5673	38	36	was	be	AUX
ejpam-5673	38	37	obtained	obtain	VERB
ejpam-5673	38	38	.	.	PUNCT
ejpam-5673	39	1	the	the	DET
ejpam-5673	39	2	work	work	NOUN
ejpam-5673	39	3	also	also	ADV
ejpam-5673	39	4	provide	provide	VERB
ejpam-5673	39	5	an	an	DET
ejpam-5673	39	6	explicit	explicit	ADJ
ejpam-5673	39	7	expression	expression	NOUN
ejpam-5673	39	8	of	of	ADP
ejpam-5673	39	9	kemeny	kemeny	PROPN
ejpam-5673	39	10	’s	’s	PART
ejpam-5673	39	11	constant	constant	ADJ
ejpam-5673	39	12	and	and	CCONJ
ejpam-5673	39	13	mean	mean	VERB
ejpam-5673	39	14	first	first	ADJ
ejpam-5673	39	15	passage	passage	NOUN
ejpam-5673	39	16	time	time	NOUN
ejpam-5673	39	17	for	for	ADP
ejpam-5673	39	18	octagonal	octagonal	ADJ
ejpam-5673	39	19	cell	cell	NOUN
ejpam-5673	39	20	network	network	NOUN
ejpam-5673	39	21	,	,	PUNCT
ejpam-5673	39	22	by	by	ADP
ejpam-5673	39	23	their	their	PRON
ejpam-5673	39	24	laplacian	laplacian	ADJ
ejpam-5673	39	25	eigenvalues	eigenvalue	NOUN
ejpam-5673	39	26	and	and	CCONJ
ejpam-5673	39	27	the	the	DET
ejpam-5673	39	28	correlation	correlation	NOUN
ejpam-5673	39	29	among	among	ADP
ejpam-5673	39	30	roots	root	NOUN
ejpam-5673	39	31	of	of	ADP
ejpam-5673	39	32	characteristic	characteristic	ADJ
ejpam-5673	39	33	polynomial	polynomial	NOUN
ejpam-5673	39	34	.	.	PUNCT
ejpam-5673	40	1	in	in	ADP
ejpam-5673	40	2	[	[	X
ejpam-5673	40	3	1	1	NUM
ejpam-5673	40	4	]	]	PUNCT
ejpam-5673	40	5	,	,	PUNCT
ejpam-5673	40	6	an	an	DET
ejpam-5673	40	7	explicit	explicit	ADJ
ejpam-5673	40	8	closed	closed	ADJ
ejpam-5673	40	9	-	-	PUNCT
ejpam-5673	40	10	form	form	NOUN
ejpam-5673	40	11	formula	formula	NOUN
ejpam-5673	40	12	of	of	ADP
ejpam-5673	40	13	the	the	DET
ejpam-5673	40	14	global	global	ADJ
ejpam-5673	40	15	meanfirst	meanfirst	ADJ
ejpam-5673	40	16	-	-	PUNCT
ejpam-5673	40	17	passage	passage	NOUN
ejpam-5673	40	18	time	time	NOUN
ejpam-5673	40	19	(	(	PUNCT
ejpam-5673	40	20	gmfpt	gmfpt	NOUN
ejpam-5673	40	21	)	)	PUNCT
ejpam-5673	40	22	for	for	ADP
ejpam-5673	40	23	hexagonal	hexagonal	ADJ
ejpam-5673	40	24	model	model	NOUN
ejpam-5673	40	25	has	have	AUX
ejpam-5673	40	26	been	be	AUX
ejpam-5673	40	27	established	establish	VERB
ejpam-5673	40	28	using	use	VERB
ejpam-5673	40	29	the	the	DET
ejpam-5673	40	30	decomposition	decomposition	NOUN
ejpam-5673	40	31	theorem	theorem	NOUN
ejpam-5673	40	32	of	of	ADP
ejpam-5673	40	33	laplacian	laplacian	ADJ
ejpam-5673	40	34	polynomial	polynomial	ADJ
ejpam-5673	40	35	and	and	CCONJ
ejpam-5673	40	36	characteristic	characteristic	ADJ
ejpam-5673	40	37	polynomial	polynomial	NOUN
ejpam-5673	40	38	.	.	PUNCT
ejpam-5673	41	1	they	they	PRON
ejpam-5673	41	2	have	have	AUX
ejpam-5673	41	3	also	also	ADV
ejpam-5673	41	4	shown	show	VERB
ejpam-5673	41	5	that	that	SCONJ
ejpam-5673	41	6	,	,	PUNCT
ejpam-5673	41	7	extensive	extensive	ADJ
ejpam-5673	41	8	matrix	matrix	NOUN
ejpam-5673	41	9	analysis	analysis	NOUN
ejpam-5673	41	10	,	,	PUNCT
ejpam-5673	41	11	obtaining	obtain	VERB
ejpam-5673	41	12	gmfpt	gmfpt	NOUN
ejpam-5673	41	13	via	via	ADP
ejpam-5673	41	14	spectrums	spectrum	NOUN
ejpam-5673	41	15	provides	provide	VERB
ejpam-5673	41	16	an	an	DET
ejpam-5673	41	17	easy	easy	ADJ
ejpam-5673	41	18	calculation	calculation	NOUN
ejpam-5673	41	19	in	in	ADP
ejpam-5673	41	20	terms	term	NOUN
ejpam-5673	41	21	of	of	ADP
ejpam-5673	41	22	large	large	ADJ
ejpam-5673	41	23	networks	network	NOUN
ejpam-5673	41	24	.	.	PUNCT
ejpam-5673	42	1	in	in	ADP
ejpam-5673	42	2	[	[	X
ejpam-5673	42	3	9	9	NUM
ejpam-5673	42	4	]	]	PUNCT
ejpam-5673	42	5	,	,	PUNCT
ejpam-5673	42	6	the	the	DET
ejpam-5673	42	7	electric	electric	ADJ
ejpam-5673	42	8	network	network	NOUN
ejpam-5673	42	9	approach	approach	NOUN
ejpam-5673	42	10	and	and	CCONJ
ejpam-5673	42	11	the	the	DET
ejpam-5673	42	12	combinatorial	combinatorial	ADJ
ejpam-5673	42	13	approach	approach	NOUN
ejpam-5673	42	14	have	have	AUX
ejpam-5673	42	15	been	be	AUX
ejpam-5673	42	16	used	use	VERB
ejpam-5673	42	17	to	to	PART
ejpam-5673	42	18	derive	derive	VERB
ejpam-5673	42	19	the	the	DET
ejpam-5673	42	20	exact	exact	ADJ
ejpam-5673	42	21	expression	expression	NOUN
ejpam-5673	42	22	for	for	ADP
ejpam-5673	42	23	resistance	resistance	NOUN
ejpam-5673	42	24	distances	distance	NOUN
ejpam-5673	42	25	between	between	ADP
ejpam-5673	42	26	any	any	DET
ejpam-5673	42	27	two	two	NUM
ejpam-5673	42	28	vertices	vertex	NOUN
ejpam-5673	42	29	of	of	ADP
ejpam-5673	42	30	the	the	DET
ejpam-5673	42	31	kn4	kn4	PROPN
ejpam-5673	42	32	ring	ring	NOUN
ejpam-5673	42	33	model	model	NOUN
ejpam-5673	42	34	.	.	PUNCT
ejpam-5673	43	1	the	the	DET
ejpam-5673	43	2	mean	mean	ADJ
ejpam-5673	43	3	first	first	ADJ
ejpam-5673	43	4	passage	passage	NOUN
ejpam-5673	43	5	time	time	NOUN
ejpam-5673	43	6	and	and	CCONJ
ejpam-5673	43	7	kemeny	kemeny	PROPN
ejpam-5673	43	8	constant	constant	ADJ
ejpam-5673	43	9	of	of	ADP
ejpam-5673	43	10	kn4	kn4	PROPN
ejpam-5673	43	11	have	have	AUX
ejpam-5673	43	12	also	also	ADV
ejpam-5673	43	13	been	be	AUX
ejpam-5673	43	14	calculated	calculate	VERB
ejpam-5673	43	15	.	.	PUNCT
ejpam-5673	44	1	a	a	DET
ejpam-5673	44	2	study	study	NOUN
ejpam-5673	44	3	of	of	ADP
ejpam-5673	44	4	mean	mean	ADJ
ejpam-5673	44	5	-	-	PUNCT
ejpam-5673	44	6	first	first	ADJ
ejpam-5673	44	7	-	-	PUNCT
ejpam-5673	44	8	passage	passage	NOUN
ejpam-5673	44	9	time	time	NOUN
ejpam-5673	44	10	and	and	CCONJ
ejpam-5673	44	11	kemeny	kemeny	PROPN
ejpam-5673	44	12	’s	’s	PART
ejpam-5673	44	13	constant	constant	ADJ
ejpam-5673	44	14	of	of	ADP
ejpam-5673	44	15	a	a	DET
ejpam-5673	44	16	random	random	ADJ
ejpam-5673	44	17	walk	walk	NOUN
ejpam-5673	44	18	by	by	ADP
ejpam-5673	44	19	normalized	normalize	VERB
ejpam-5673	44	20	laplacian	laplacian	ADJ
ejpam-5673	44	21	matrices	matrix	NOUN
ejpam-5673	44	22	of	of	ADP
ejpam-5673	44	23	a	a	DET
ejpam-5673	44	24	penta	penta	NOUN
ejpam-5673	44	25	-	-	PUNCT
ejpam-5673	44	26	chain	chain	NOUN
ejpam-5673	44	27	network	network	NOUN
ejpam-5673	44	28	has	have	AUX
ejpam-5673	44	29	been	be	AUX
ejpam-5673	44	30	prformed	prforme	VERB
ejpam-5673	44	31	in	in	ADP
ejpam-5673	44	32	[	[	X
ejpam-5673	44	33	10	10	NUM
ejpam-5673	44	34	]	]	PUNCT
ejpam-5673	44	35	.	.	PUNCT
ejpam-5673	45	1	motivtaed	motivtaed	NOUN
ejpam-5673	45	2	by	by	ADP
ejpam-5673	45	3	many	many	ADJ
ejpam-5673	45	4	applications	application	NOUN
ejpam-5673	45	5	in	in	ADP
ejpam-5673	45	6	computer	computer	NOUN
ejpam-5673	45	7	networks	network	NOUN
ejpam-5673	45	8	,	,	PUNCT
ejpam-5673	45	9	routing	route	VERB
ejpam-5673	45	10	protocols	protocol	NOUN
ejpam-5673	45	11	,	,	PUNCT
ejpam-5673	45	12	wireless	wireless	ADJ
ejpam-5673	45	13	sensor	sensor	NOUN
ejpam-5673	45	14	networks	network	NOUN
ejpam-5673	45	15	,	,	PUNCT
ejpam-5673	45	16	and	and	CCONJ
ejpam-5673	45	17	also	also	ADV
ejpam-5673	45	18	by	by	ADP
ejpam-5673	45	19	the	the	DET
ejpam-5673	45	20	normalized	normalize	VERB
ejpam-5673	45	21	laplacian	laplacian	ADJ
ejpam-5673	45	22	(	(	PUNCT
ejpam-5673	45	23	nl	nl	NOUN
ejpam-5673	45	24	)	)	PUNCT
ejpam-5673	45	25	matrix	matrix	NOUN
ejpam-5673	45	26	,	,	PUNCT
ejpam-5673	45	27	the	the	DET
ejpam-5673	45	28	spectrums	spectrum	NOUN
ejpam-5673	45	29	of	of	ADP
ejpam-5673	45	30	the	the	DET
ejpam-5673	45	31	n	n	PROPN
ejpam-5673	45	32	copies	copy	NOUN
ejpam-5673	45	33	of	of	ADP
ejpam-5673	45	34	(	(	PUNCT
ejpam-5673	45	35	kl5	kl5	PROPN
ejpam-5673	45	36	)	)	PUNCT
ejpam-5673	45	37	chain	chain	NOUN
ejpam-5673	45	38	graph	graph	NOUN
ejpam-5673	45	39	has	have	AUX
ejpam-5673	45	40	been	be	AUX
ejpam-5673	45	41	obtained	obtain	VERB
ejpam-5673	45	42	in	in	ADP
ejpam-5673	45	43	[	[	X
ejpam-5673	45	44	11	11	NUM
ejpam-5673	45	45	]	]	PUNCT
ejpam-5673	45	46	.	.	PUNCT
ejpam-5673	46	1	the	the	DET
ejpam-5673	46	2	number	number	NOUN
ejpam-5673	46	3	of	of	ADP
ejpam-5673	46	4	spanning	span	VERB
ejpam-5673	46	5	trees	tree	NOUN
ejpam-5673	46	6	for	for	ADP
ejpam-5673	46	7	kl5	kl5	PROPN
ejpam-5673	46	8	has	have	AUX
ejpam-5673	46	9	also	also	ADV
ejpam-5673	46	10	been	be	AUX
ejpam-5673	46	11	calculated	calculate	VERB
ejpam-5673	46	12	by	by	ADP
ejpam-5673	46	13	utilizing	utilize	VERB
ejpam-5673	46	14	these	these	DET
ejpam-5673	46	15	spectrums	spectrum	NOUN
ejpam-5673	46	16	.	.	PUNCT
ejpam-5673	47	1	for	for	ADP
ejpam-5673	47	2	a	a	DET
ejpam-5673	47	3	connected	connected	ADJ
ejpam-5673	47	4	and	and	CCONJ
ejpam-5673	47	5	simple	simple	ADJ
ejpam-5673	47	6	graph	graph	NOUN
ejpam-5673	47	7	m(v	m(v	NOUN
ejpam-5673	47	8	,	,	PUNCT
ejpam-5673	47	9	e	e	NOUN
ejpam-5673	47	10	)	)	PUNCT
ejpam-5673	47	11	,	,	PUNCT
ejpam-5673	47	12	an	an	DET
ejpam-5673	47	13	edge	edge	NOUN
ejpam-5673	47	14	irregular	irregular	ADJ
ejpam-5673	47	15	total	total	ADJ
ejpam-5673	47	16	ζ	ζ	NOUN
ejpam-5673	47	17	-	-	PUNCT
ejpam-5673	47	18	labeling	labeling	NOUN
ejpam-5673	47	19	has	have	AUX
ejpam-5673	47	20	been	be	AUX
ejpam-5673	47	21	introduced	introduce	VERB
ejpam-5673	47	22	by	by	ADP
ejpam-5673	47	23	baca	baca	PROPN
ejpam-5673	47	24	et	et	PROPN
ejpam-5673	47	25	al	al	PROPN
ejpam-5673	47	26	.	.	PUNCT
ejpam-5673	48	1	in	in	ADP
ejpam-5673	48	2	[	[	X
ejpam-5673	48	3	12	12	NUM
ejpam-5673	48	4	]	]	PUNCT
ejpam-5673	48	5	as	as	ADP
ejpam-5673	48	6	a	a	DET
ejpam-5673	48	7	map	map	NOUN
ejpam-5673	48	8	ω	ω	NOUN
ejpam-5673	48	9	:	:	PUNCT
ejpam-5673	48	10	v	v	PROPN
ejpam-5673	48	11	(	(	PUNCT
ejpam-5673	48	12	m	m	NOUN
ejpam-5673	48	13	)	)	PUNCT
ejpam-5673	48	14	∪	∪	ADP
ejpam-5673	48	15	e(m	e(m	PROPN
ejpam-5673	48	16	)	)	PUNCT
ejpam-5673	48	17	→	→	SYM
ejpam-5673	48	18	{	{	PUNCT
ejpam-5673	48	19	1	1	NUM
ejpam-5673	48	20	,	,	PUNCT
ejpam-5673	48	21	2	2	NUM
ejpam-5673	48	22	,	,	PUNCT
ejpam-5673	48	23	3	3	NUM
ejpam-5673	48	24	,	,	PUNCT
ejpam-5673	48	25	....	....	PUNCT
ejpam-5673	48	26	,	,	PUNCT
ejpam-5673	48	27	ζ	ζ	X
ejpam-5673	48	28	}	}	PUNCT
ejpam-5673	48	29	such	such	ADJ
ejpam-5673	48	30	that	that	PRON
ejpam-5673	48	31	wω(h	wω(h	X
ejpam-5673	48	32	)	)	PUNCT
ejpam-5673	48	33	̸=	̸=	PROPN
ejpam-5673	48	34	wω(z	wω(z	PUNCT
ejpam-5673	48	35	)	)	PUNCT
ejpam-5673	48	36	where	where	SCONJ
ejpam-5673	48	37	wω(h	wω(h	NUM
ejpam-5673	48	38	)	)	PUNCT
ejpam-5673	48	39	and	and	CCONJ
ejpam-5673	48	40	wω(z	wω(z	PUNCT
ejpam-5673	48	41	)	)	PUNCT
ejpam-5673	48	42	are	be	AUX
ejpam-5673	48	43	weights	weight	NOUN
ejpam-5673	48	44	for	for	ADP
ejpam-5673	48	45	any	any	DET
ejpam-5673	48	46	two	two	NUM
ejpam-5673	48	47	distinct	distinct	ADJ
ejpam-5673	48	48	edges	edge	NOUN
ejpam-5673	48	49	.	.	PUNCT
ejpam-5673	49	1	also	also	ADV
ejpam-5673	49	2	,	,	PUNCT
ejpam-5673	49	3	the	the	DET
ejpam-5673	49	4	inequality	inequality	NOUN
ejpam-5673	49	5	of	of	ADP
ejpam-5673	49	6	teis	teis	NOUN
ejpam-5673	49	7	for	for	ADP
ejpam-5673	49	8	a	a	DET
ejpam-5673	49	9	graph	graph	NOUN
ejpam-5673	49	10	,	,	PUNCT
ejpam-5673	49	11	with	with	ADP
ejpam-5673	49	12	the	the	DET
ejpam-5673	49	13	maximum	maximum	ADJ
ejpam-5673	49	14	degree	degree	NOUN
ejpam-5673	49	15	of	of	ADP
ejpam-5673	49	16	vertices	vertex	NOUN
ejpam-5673	49	17	∆g	∆g	PROPN
ejpam-5673	49	18	,	,	PUNCT
ejpam-5673	49	19	has	have	AUX
ejpam-5673	49	20	been	be	AUX
ejpam-5673	49	21	deduced	deduce	VERB
ejpam-5673	49	22	in	in	ADP
ejpam-5673	49	23	the	the	DET
ejpam-5673	49	24	form	form	NOUN
ejpam-5673	49	25	tes(m	tes(m	PROPN
ejpam-5673	49	26	)	)	PUNCT
ejpam-5673	49	27	≥	≥	PROPN
ejpam-5673	49	28	max	max	PROPN
ejpam-5673	49	29	{	{	PUNCT
ejpam-5673	49	30	e(m	e(m	PROPN
ejpam-5673	49	31	)	)	PUNCT
ejpam-5673	49	32	+	+	CCONJ
ejpam-5673	49	33	2	2	NUM
ejpam-5673	49	34	3	3	NUM
ejpam-5673	49	35	,	,	PUNCT
ejpam-5673	49	36	∆(m	∆(m	VERB
ejpam-5673	49	37	)	)	PUNCT
ejpam-5673	50	1	+	+	CCONJ
ejpam-5673	50	2	1	1	NUM
ejpam-5673	50	3	2	2	NUM
ejpam-5673	50	4	}	}	PUNCT
ejpam-5673	50	5	(	(	PUNCT
ejpam-5673	50	6	1	1	X
ejpam-5673	50	7	)	)	PUNCT
ejpam-5673	50	8	since	since	SCONJ
ejpam-5673	50	9	then	then	ADV
ejpam-5673	50	10	,	,	PUNCT
ejpam-5673	50	11	many	many	ADJ
ejpam-5673	50	12	authors	author	NOUN
ejpam-5673	50	13	have	have	AUX
ejpam-5673	50	14	begun	begin	VERB
ejpam-5673	50	15	to	to	PART
ejpam-5673	50	16	find	find	VERB
ejpam-5673	50	17	teis	teis	NOUN
ejpam-5673	50	18	for	for	ADP
ejpam-5673	50	19	many	many	ADJ
ejpam-5673	50	20	families	family	NOUN
ejpam-5673	50	21	of	of	ADP
ejpam-5673	50	22	graphs	graph	NOUN
ejpam-5673	50	23	.	.	PUNCT
ejpam-5673	51	1	ivanĉo	ivanĉo	PROPN
ejpam-5673	51	2	h.	h.	PROPN
ejpam-5673	51	3	attiya	attiya	PROPN
ejpam-5673	51	4	,	,	PUNCT
ejpam-5673	51	5	n.	n.	PROPN
ejpam-5673	51	6	ahmed	ahmed	PROPN
ejpam-5673	51	7	,	,	PUNCT
ejpam-5673	51	8	f.	f.	PROPN
ejpam-5673	51	9	salama	salama	PROPN
ejpam-5673	51	10	/	/	SYM
ejpam-5673	51	11	eur	eur	PROPN
ejpam-5673	51	12	.	.	PUNCT
ejpam-5673	52	1	j.	j.	PROPN
ejpam-5673	52	2	pure	pure	PROPN
ejpam-5673	52	3	appl	appl	PROPN
ejpam-5673	52	4	.	.	PROPN
ejpam-5673	52	5	math	math	PROPN
ejpam-5673	52	6	,	,	PUNCT
ejpam-5673	52	7	18	18	NUM
ejpam-5673	52	8	(	(	PUNCT
ejpam-5673	52	9	2	2	NUM
ejpam-5673	52	10	)	)	PUNCT
ejpam-5673	52	11	(	(	PUNCT
ejpam-5673	52	12	2025	2025	NUM
ejpam-5673	52	13	)	)	PUNCT
ejpam-5673	52	14	,	,	PUNCT
ejpam-5673	52	15	5673	5673	NUM
ejpam-5673	52	16	3	3	NUM
ejpam-5673	52	17	of	of	ADP
ejpam-5673	52	18	11	11	NUM
ejpam-5673	52	19	and	and	CCONJ
ejpam-5673	52	20	jendrôı	jendrôı	NOUN
ejpam-5673	52	21	in	in	ADP
ejpam-5673	52	22	[	[	X
ejpam-5673	52	23	13	13	NUM
ejpam-5673	52	24	]	]	PUNCT
ejpam-5673	52	25	determined	determine	VERB
ejpam-5673	52	26	teis	teis	NOUN
ejpam-5673	52	27	for	for	ADP
ejpam-5673	52	28	a	a	DET
ejpam-5673	52	29	tree	tree	NOUN
ejpam-5673	52	30	as	as	ADP
ejpam-5673	52	31	tes(t	tes(t	PROPN
ejpam-5673	52	32	)	)	PUNCT
ejpam-5673	53	1	=	=	SYM
ejpam-5673	53	2	max	max	PROPN
ejpam-5673	53	3	{	{	PUNCT
ejpam-5673	53	4	k	k	NOUN
ejpam-5673	54	1	+	+	CCONJ
ejpam-5673	54	2	2	2	NUM
ejpam-5673	54	3	3	3	NUM
ejpam-5673	54	4	,	,	PUNCT
ejpam-5673	54	5	∆(m	∆(m	VERB
ejpam-5673	54	6	)	)	PUNCT
ejpam-5673	55	1	+	+	CCONJ
ejpam-5673	55	2	1	1	NUM
ejpam-5673	55	3	2	2	NUM
ejpam-5673	55	4	}	}	PUNCT
ejpam-5673	55	5	(	(	PUNCT
ejpam-5673	55	6	2	2	X
ejpam-5673	55	7	)	)	PUNCT
ejpam-5673	55	8	ahmad	ahmad	PROPN
ejpam-5673	55	9	et	et	PROPN
ejpam-5673	55	10	al	al	PROPN
ejpam-5673	55	11	.	.	PUNCT
ejpam-5673	56	1	[	[	X
ejpam-5673	56	2	14–20	14–20	NUM
ejpam-5673	56	3	]	]	PUNCT
ejpam-5673	56	4	have	have	AUX
ejpam-5673	56	5	investigated	investigate	VERB
ejpam-5673	56	6	teis	teis	NOUN
ejpam-5673	56	7	for	for	ADP
ejpam-5673	56	8	zigzag	zigzag	NOUN
ejpam-5673	56	9	graphs	graph	NOUN
ejpam-5673	56	10	,	,	PUNCT
ejpam-5673	56	11	helm	helm	NOUN
ejpam-5673	56	12	and	and	CCONJ
ejpam-5673	56	13	sun	sun	NOUN
ejpam-5673	56	14	graphs	graph	NOUN
ejpam-5673	56	15	,	,	PUNCT
ejpam-5673	56	16	the	the	DET
ejpam-5673	56	17	categorical	categorical	ADJ
ejpam-5673	56	18	product	product	NOUN
ejpam-5673	56	19	of	of	ADP
ejpam-5673	56	20	two	two	NUM
ejpam-5673	56	21	cycles	cycle	NOUN
ejpam-5673	56	22	,	,	PUNCT
ejpam-5673	56	23	the	the	DET
ejpam-5673	56	24	categorical	categorical	ADJ
ejpam-5673	56	25	product	product	NOUN
ejpam-5673	56	26	of	of	ADP
ejpam-5673	56	27	two	two	NUM
ejpam-5673	56	28	paths	path	NOUN
ejpam-5673	56	29	,	,	PUNCT
ejpam-5673	56	30	the	the	DET
ejpam-5673	56	31	generalized	generalized	ADJ
ejpam-5673	56	32	petersen	petersen	NOUN
ejpam-5673	56	33	graph	graph	NOUN
ejpam-5673	56	34	,	,	PUNCT
ejpam-5673	56	35	certain	certain	ADJ
ejpam-5673	56	36	families	family	NOUN
ejpam-5673	56	37	of	of	ADP
ejpam-5673	56	38	graphs	graph	NOUN
ejpam-5673	56	39	and	and	CCONJ
ejpam-5673	56	40	some	some	DET
ejpam-5673	56	41	classes	class	NOUN
ejpam-5673	56	42	of	of	ADP
ejpam-5673	56	43	plane	plane	NOUN
ejpam-5673	56	44	graphs	graph	NOUN
ejpam-5673	56	45	.	.	PUNCT
ejpam-5673	57	1	therefore	therefore	ADV
ejpam-5673	57	2	,	,	PUNCT
ejpam-5673	57	3	teis	teis	PROPN
ejpam-5673	57	4	has	have	AUX
ejpam-5673	57	5	been	be	AUX
ejpam-5673	57	6	determined	determine	VERB
ejpam-5673	57	7	for	for	ADP
ejpam-5673	57	8	hexagonal	hexagonal	ADJ
ejpam-5673	57	9	grid	grid	NOUN
ejpam-5673	57	10	graphs	graph	NOUN
ejpam-5673	57	11	in	in	ADP
ejpam-5673	57	12	al	al	PROPN
ejpam-5673	57	13	-	-	PUNCT
ejpam-5673	57	14	mushayt	mushayt	PROPN
ejpam-5673	57	15	and	and	CCONJ
ejpam-5673	57	16	ahmad	ahmad	PROPN
ejpam-5673	57	17	[	[	X
ejpam-5673	57	18	21	21	NUM
ejpam-5673	57	19	]	]	PUNCT
ejpam-5673	57	20	,	,	PUNCT
ejpam-5673	57	21	planar	planar	ADJ
ejpam-5673	57	22	graphs	graph	NOUN
ejpam-5673	57	23	in	in	ADP
ejpam-5673	57	24	yang	yang	PROPN
ejpam-5673	57	25	et	et	PROPN
ejpam-5673	57	26	al	al	PROPN
ejpam-5673	57	27	.	.	PUNCT
ejpam-5673	58	1	[	[	X
ejpam-5673	58	2	22	22	NUM
ejpam-5673	58	3	]	]	PUNCT
ejpam-5673	58	4	,	,	PUNCT
ejpam-5673	58	5	for	for	ADP
ejpam-5673	58	6	some	some	DET
ejpam-5673	58	7	classes	class	NOUN
ejpam-5673	58	8	of	of	ADP
ejpam-5673	58	9	plane	plane	NOUN
ejpam-5673	58	10	graphs	graph	NOUN
ejpam-5673	58	11	in	in	ADP
ejpam-5673	58	12	tarawneh	tarawneh	PROPN
ejpam-5673	58	13	et	et	PROPN
ejpam-5673	58	14	al	al	PROPN
ejpam-5673	58	15	.	.	PUNCT
ejpam-5673	59	1	[	[	X
ejpam-5673	59	2	23	23	NUM
ejpam-5673	59	3	]	]	PUNCT
ejpam-5673	59	4	,	,	PUNCT
ejpam-5673	59	5	for	for	ADP
ejpam-5673	59	6	fan	fan	NOUN
ejpam-5673	59	7	,	,	PUNCT
ejpam-5673	59	8	wheel	wheel	NOUN
ejpam-5673	59	9	,	,	PUNCT
ejpam-5673	59	10	triangular	triangular	NOUN
ejpam-5673	59	11	book	book	NOUN
ejpam-5673	59	12	,	,	PUNCT
ejpam-5673	59	13	and	and	CCONJ
ejpam-5673	59	14	friendship	friendship	NOUN
ejpam-5673	59	15	graphs	graph	NOUN
ejpam-5673	59	16	in	in	ADP
ejpam-5673	59	17	tilukay	tilukay	NOUN
ejpam-5673	59	18	et	et	PROPN
ejpam-5673	59	19	al	al	PROPN
ejpam-5673	59	20	.	.	PUNCT
ejpam-5673	60	1	[	[	X
ejpam-5673	60	2	24	24	NUM
ejpam-5673	60	3	]	]	PUNCT
ejpam-5673	60	4	,	,	PUNCT
ejpam-5673	60	5	for	for	ADP
ejpam-5673	60	6	subdivision	subdivision	NOUN
ejpam-5673	60	7	of	of	ADP
ejpam-5673	60	8	star	star	NOUN
ejpam-5673	60	9	in	in	ADP
ejpam-5673	60	10	siddiqui	siddiqui	NOUN
ejpam-5673	60	11	[	[	X
ejpam-5673	60	12	25	25	NUM
ejpam-5673	60	13	]	]	PUNCT
ejpam-5673	60	14	,	,	PUNCT
ejpam-5673	60	15	for	for	ADP
ejpam-5673	60	16	some	some	DET
ejpam-5673	60	17	cartesian	cartesian	ADJ
ejpam-5673	60	18	product	product	NOUN
ejpam-5673	60	19	graphs	graph	NOUN
ejpam-5673	60	20	in	in	ADP
ejpam-5673	60	21	ramdan	ramdan	PROPN
ejpam-5673	60	22	and	and	CCONJ
ejpam-5673	60	23	salman	salman	PROPN
ejpam-5673	61	1	[	[	X
ejpam-5673	61	2	26	26	NUM
ejpam-5673	61	3	]	]	PUNCT
ejpam-5673	61	4	,	,	PUNCT
ejpam-5673	61	5	for	for	ADP
ejpam-5673	61	6	trees	tree	NOUN
ejpam-5673	61	7	in	in	ADP
ejpam-5673	61	8	amar	amar	PROPN
ejpam-5673	61	9	and	and	CCONJ
ejpam-5673	61	10	togn	togn	VERB
ejpam-5673	62	1	[	[	X
ejpam-5673	62	2	27	27	NUM
ejpam-5673	62	3	]	]	PUNCT
ejpam-5673	62	4	,	,	PUNCT
ejpam-5673	62	5	for	for	ADP
ejpam-5673	62	6	generalized	generalized	ADJ
ejpam-5673	62	7	web	web	NOUN
ejpam-5673	62	8	graphs	graph	NOUN
ejpam-5673	62	9	and	and	CCONJ
ejpam-5673	62	10	related	related	ADJ
ejpam-5673	62	11	graphs	graph	NOUN
ejpam-5673	62	12	in	in	ADP
ejpam-5673	62	13	indriat	indriat	PROPN
ejpam-5673	62	14	et	et	PROPN
ejpam-5673	62	15	al	al	PROPN
ejpam-5673	62	16	.	.	PUNCT
ejpam-5673	63	1	[	[	X
ejpam-5673	63	2	28	28	NUM
ejpam-5673	63	3	]	]	PUNCT
ejpam-5673	63	4	,	,	PUNCT
ejpam-5673	63	5	for	for	ADP
ejpam-5673	63	6	generalized	generalized	ADJ
ejpam-5673	63	7	prism	prism	NOUN
ejpam-5673	63	8	in	in	ADP
ejpam-5673	63	9	bača	bača	PROPN
ejpam-5673	63	10	and	and	CCONJ
ejpam-5673	63	11	siddiqui	siddiqui	NOUN
ejpam-5673	63	12	[	[	X
ejpam-5673	63	13	29	29	NUM
ejpam-5673	63	14	]	]	PUNCT
ejpam-5673	63	15	,	,	PUNCT
ejpam-5673	63	16	for	for	ADP
ejpam-5673	63	17	complete	complete	ADJ
ejpam-5673	63	18	graph	graph	NOUN
ejpam-5673	63	19	and	and	CCONJ
ejpam-5673	63	20	complete	complete	ADJ
ejpam-5673	63	21	bipartite	bipartite	NOUN
ejpam-5673	63	22	graphs	graph	NOUN
ejpam-5673	63	23	in	in	ADP
ejpam-5673	63	24	jendrôı	jendrôı	PROPN
ejpam-5673	63	25	et	et	PROPN
ejpam-5673	63	26	al	al	PROPN
ejpam-5673	63	27	.	.	PUNCT
ejpam-5673	64	1	[	[	X
ejpam-5673	64	2	30	30	NUM
ejpam-5673	64	3	]	]	PUNCT
ejpam-5673	64	4	,	,	PUNCT
ejpam-5673	64	5	for	for	ADP
ejpam-5673	64	6	the	the	DET
ejpam-5673	64	7	disjoint	disjoint	PROPN
ejpam-5673	64	8	union	union	NOUN
ejpam-5673	64	9	of	of	ADP
ejpam-5673	64	10	wheel	wheel	NOUN
ejpam-5673	64	11	graphs	graph	NOUN
ejpam-5673	64	12	in	in	ADP
ejpam-5673	64	13	jeyanth	jeyanth	ADJ
ejpam-5673	64	14	and	and	CCONJ
ejpam-5673	64	15	sudhai	sudhai	PROPN
ejpam-5673	65	1	[	[	X
ejpam-5673	65	2	31	31	NUM
ejpam-5673	65	3	]	]	PUNCT
ejpam-5673	65	4	,	,	PUNCT
ejpam-5673	65	5	for	for	ADP
ejpam-5673	65	6	dense	dense	ADJ
ejpam-5673	65	7	graphs	graph	NOUN
ejpam-5673	65	8	in	in	ADP
ejpam-5673	65	9	majersk	majersk	PROPN
ejpam-5673	65	10	et	et	PROPN
ejpam-5673	65	11	al	al	PROPN
ejpam-5673	65	12	.	.	PUNCT
ejpam-5673	66	1	[	[	X
ejpam-5673	66	2	32	32	NUM
ejpam-5673	66	3	]	]	PUNCT
ejpam-5673	66	4	,	,	PUNCT
ejpam-5673	66	5	for	for	ADP
ejpam-5673	66	6	the	the	DET
ejpam-5673	66	7	grids	grid	NOUN
ejpam-5673	66	8	in	in	ADP
ejpam-5673	66	9	mǐskuf	mǐskuf	NOUN
ejpam-5673	66	10	and	and	CCONJ
ejpam-5673	66	11	jendrôı	jendrôı	X
ejpam-5673	66	12	[	[	X
ejpam-5673	66	13	33	33	NUM
ejpam-5673	66	14	]	]	PUNCT
ejpam-5673	66	15	,	,	PUNCT
ejpam-5673	66	16	for	for	ADP
ejpam-5673	66	17	disjoint	disjoint	NOUN
ejpam-5673	66	18	union	union	NOUN
ejpam-5673	66	19	of	of	ADP
ejpam-5673	66	20	isomorphic	isomorphic	ADJ
ejpam-5673	66	21	copies	copy	NOUN
ejpam-5673	66	22	of	of	ADP
ejpam-5673	66	23	generalized	generalized	ADJ
ejpam-5673	66	24	petersen	petersen	NOUN
ejpam-5673	66	25	graph	graph	NOUN
ejpam-5673	66	26	in	in	ADP
ejpam-5673	66	27	naeem	naeem	PROPN
ejpam-5673	66	28	and	and	CCONJ
ejpam-5673	66	29	siddiqui	siddiqui	NOUN
ejpam-5673	66	30	[	[	X
ejpam-5673	66	31	34	34	NUM
ejpam-5673	66	32	]	]	PUNCT
ejpam-5673	66	33	,	,	PUNCT
ejpam-5673	66	34	for	for	ADP
ejpam-5673	66	35	large	large	ADJ
ejpam-5673	66	36	graphs	graph	NOUN
ejpam-5673	66	37	in	in	ADP
ejpam-5673	66	38	pfender	pfender	NOUN
ejpam-5673	66	39	[	[	X
ejpam-5673	66	40	35	35	NUM
ejpam-5673	66	41	]	]	PUNCT
ejpam-5673	66	42	,	,	PUNCT
ejpam-5673	66	43	for	for	ADP
ejpam-5673	66	44	centralized	centralized	ADJ
ejpam-5673	66	45	uniform	uniform	ADJ
ejpam-5673	66	46	theta	theta	NOUN
ejpam-5673	66	47	graphs	graph	NOUN
ejpam-5673	66	48	in	in	ADP
ejpam-5673	66	49	putra	putra	PROPN
ejpam-5673	66	50	and	and	CCONJ
ejpam-5673	66	51	susanti	susanti	PRON
ejpam-5673	67	1	[	[	X
ejpam-5673	67	2	36	36	NUM
ejpam-5673	67	3	]	]	PUNCT
ejpam-5673	67	4	,	,	PUNCT
ejpam-5673	67	5	for	for	ADP
ejpam-5673	67	6	series	series	NOUN
ejpam-5673	67	7	parallel	parallel	NOUN
ejpam-5673	67	8	graphs	graph	NOUN
ejpam-5673	67	9	in	in	ADP
ejpam-5673	67	10	rajasingh	rajasingh	PROPN
ejpam-5673	67	11	et	et	PROPN
ejpam-5673	67	12	al	al	PROPN
ejpam-5673	67	13	.	.	PUNCT
ejpam-5673	68	1	[	[	X
ejpam-5673	68	2	37	37	NUM
ejpam-5673	68	3	]	]	PUNCT
ejpam-5673	68	4	.	.	PUNCT
ejpam-5673	69	1	salama	salama	NOUN
ejpam-5673	70	1	[	[	X
ejpam-5673	70	2	38],[39],[40],[41],[42	38],[39],[40],[41],[42	X
ejpam-5673	70	3	]	]	X
ejpam-5673	70	4	has	have	AUX
ejpam-5673	70	5	determined	determine	VERB
ejpam-5673	70	6	teis	teis	NOUN
ejpam-5673	70	7	for	for	ADP
ejpam-5673	70	8	the	the	DET
ejpam-5673	70	9	polar	polar	ADJ
ejpam-5673	70	10	grid	grid	NOUN
ejpam-5673	70	11	graph	graph	NOUN
ejpam-5673	70	12	,	,	PUNCT
ejpam-5673	70	13	special	special	ADJ
ejpam-5673	70	14	families	family	NOUN
ejpam-5673	70	15	of	of	ADP
ejpam-5673	70	16	graphs	graph	NOUN
ejpam-5673	70	17	,	,	PUNCT
ejpam-5673	70	18	heptagonal	heptagonal	ADJ
ejpam-5673	70	19	snake	snake	NOUN
ejpam-5673	70	20	graph	graph	NOUN
ejpam-5673	70	21	,	,	PUNCT
ejpam-5673	70	22	uniform	uniform	ADJ
ejpam-5673	70	23	theta	theta	NOUN
ejpam-5673	70	24	snake	snake	NOUN
ejpam-5673	70	25	graphs	graph	NOUN
ejpam-5673	70	26	and	and	CCONJ
ejpam-5673	70	27	quintet	quintet	NOUN
ejpam-5673	70	28	snake	snake	NOUN
ejpam-5673	70	29	graph	graph	NOUN
ejpam-5673	70	30	.	.	PUNCT
ejpam-5673	71	1	in	in	ADP
ejpam-5673	71	2	this	this	DET
ejpam-5673	71	3	paper	paper	NOUN
ejpam-5673	71	4	,	,	PUNCT
ejpam-5673	71	5	we	we	PRON
ejpam-5673	71	6	define	define	VERB
ejpam-5673	71	7	new	new	ADJ
ejpam-5673	71	8	types	type	NOUN
ejpam-5673	71	9	of	of	ADP
ejpam-5673	71	10	graphs	graph	NOUN
ejpam-5673	71	11	called	call	VERB
ejpam-5673	71	12	a	a	DET
ejpam-5673	71	13	triple	triple	ADJ
ejpam-5673	71	14	star	star	NOUN
ejpam-5673	71	15	snake	snake	NOUN
ejpam-5673	71	16	graph	graph	NOUN
ejpam-5673	71	17	ps3,n	ps3,n	NOUN
ejpam-5673	71	18	and	and	CCONJ
ejpam-5673	71	19	m	m	NOUN
ejpam-5673	71	20	-	-	ADJ
ejpam-5673	71	21	star	star	NOUN
ejpam-5673	71	22	snake	snake	NOUN
ejpam-5673	71	23	graph	graph	NOUN
ejpam-5673	71	24	psm	psm	PROPN
ejpam-5673	71	25	,	,	PUNCT
ejpam-5673	71	26	n.	n.	PROPN
ejpam-5673	71	27	also	also	ADV
ejpam-5673	71	28	,	,	PUNCT
ejpam-5673	71	29	we	we	PRON
ejpam-5673	71	30	investigate	investigate	VERB
ejpam-5673	71	31	the	the	DET
ejpam-5673	71	32	teis	teis	NOUN
ejpam-5673	71	33	for	for	ADP
ejpam-5673	71	34	a	a	DET
ejpam-5673	71	35	triple	triple	ADJ
ejpam-5673	71	36	star	star	NOUN
ejpam-5673	71	37	snake	snake	NOUN
ejpam-5673	71	38	graph	graph	PROPN
ejpam-5673	71	39	s3,n	s3,n	PROPN
ejpam-5673	71	40	.	.	PUNCT
ejpam-5673	72	1	then	then	ADV
ejpam-5673	72	2	,	,	PUNCT
ejpam-5673	72	3	we	we	PRON
ejpam-5673	72	4	generalize	generalize	VERB
ejpam-5673	72	5	the	the	DET
ejpam-5673	72	6	results	result	NOUN
ejpam-5673	72	7	for	for	ADP
ejpam-5673	72	8	m	m	PROPN
ejpam-5673	72	9	-	-	ADJ
ejpam-5673	72	10	star	star	NOUN
ejpam-5673	72	11	snake	snake	NOUN
ejpam-5673	72	12	graph	graph	NOUN
ejpam-5673	72	13	psm	psm	PROPN
ejpam-5673	72	14	,	,	PUNCT
ejpam-5673	72	15	n.	n.	NOUN
ejpam-5673	72	16	2	2	NUM
ejpam-5673	72	17	.	.	PUNCT
ejpam-5673	72	18	main	main	ADJ
ejpam-5673	72	19	results	result	NOUN
ejpam-5673	72	20	in	in	ADP
ejpam-5673	72	21	this	this	DET
ejpam-5673	72	22	section	section	NOUN
ejpam-5673	72	23	,	,	PUNCT
ejpam-5673	72	24	we	we	PRON
ejpam-5673	72	25	define	define	VERB
ejpam-5673	72	26	the	the	DET
ejpam-5673	72	27	star	star	NOUN
ejpam-5673	72	28	snake	snake	NOUN
ejpam-5673	72	29	graph	graph	NOUN
ejpam-5673	72	30	and	and	CCONJ
ejpam-5673	72	31	some	some	DET
ejpam-5673	72	32	related	related	ADJ
ejpam-5673	72	33	graphs	graph	NOUN
ejpam-5673	72	34	.	.	PUNCT
ejpam-5673	73	1	we	we	PRON
ejpam-5673	73	2	also	also	ADV
ejpam-5673	73	3	determine	determine	VERB
ejpam-5673	73	4	the	the	DET
ejpam-5673	73	5	teis	teis	NOUN
ejpam-5673	73	6	for	for	ADP
ejpam-5673	73	7	these	these	DET
ejpam-5673	73	8	graphs	graph	NOUN
ejpam-5673	73	9	.	.	PUNCT
ejpam-5673	74	1	definition	definition	NOUN
ejpam-5673	74	2	1	1	NUM
ejpam-5673	74	3	.	.	PUNCT
ejpam-5673	75	1	in	in	ADP
ejpam-5673	75	2	a	a	DET
ejpam-5673	75	3	path	path	NOUN
ejpam-5673	75	4	pn	pn	NOUN
ejpam-5673	75	5	,	,	PUNCT
ejpam-5673	75	6	if	if	SCONJ
ejpam-5673	75	7	we	we	PRON
ejpam-5673	75	8	replace	replace	VERB
ejpam-5673	75	9	every	every	DET
ejpam-5673	75	10	edge	edge	NOUN
ejpam-5673	75	11	with	with	ADP
ejpam-5673	75	12	a	a	DET
ejpam-5673	75	13	star	star	NOUN
ejpam-5673	75	14	s3	s3	NOUN
ejpam-5673	75	15	we	we	PRON
ejpam-5673	75	16	get	get	VERB
ejpam-5673	75	17	a	a	DET
ejpam-5673	75	18	new	new	ADJ
ejpam-5673	75	19	graph	graph	NOUN
ejpam-5673	75	20	called	call	VERB
ejpam-5673	75	21	a	a	DET
ejpam-5673	75	22	triple	triple	ADJ
ejpam-5673	75	23	star	star	NOUN
ejpam-5673	75	24	snake	snake	NOUN
ejpam-5673	75	25	graph	graph	NOUN
ejpam-5673	75	26	,	,	PUNCT
ejpam-5673	75	27	denoted	denote	VERB
ejpam-5673	75	28	ps3,n	ps3,n	NOUN
ejpam-5673	75	29	(	(	PUNCT
ejpam-5673	75	30	see	see	VERB
ejpam-5673	75	31	figure	figure	NOUN
ejpam-5673	75	32	1	1	NUM
ejpam-5673	75	33	)	)	PUNCT
ejpam-5673	75	34	.	.	PUNCT
ejpam-5673	76	1	figure	figure	VERB
ejpam-5673	76	2	1	1	NUM
ejpam-5673	76	3	:	:	PUNCT
ejpam-5673	76	4	a	a	DET
ejpam-5673	76	5	triple	triple	ADJ
ejpam-5673	76	6	star	star	NOUN
ejpam-5673	76	7	snake	snake	NOUN
ejpam-5673	76	8	graph	graph	NOUN
ejpam-5673	76	9	ps3,n	ps3,n	NOUN
ejpam-5673	76	10	theorem	theorem	ADJ
ejpam-5673	76	11	1	1	NUM
ejpam-5673	76	12	.	.	PUNCT
ejpam-5673	77	1	if	if	SCONJ
ejpam-5673	77	2	ps3,n	ps3,n	NOUN
ejpam-5673	77	3	is	be	AUX
ejpam-5673	77	4	a	a	DET
ejpam-5673	77	5	triple	triple	ADJ
ejpam-5673	77	6	star	star	NOUN
ejpam-5673	77	7	snake	snake	NOUN
ejpam-5673	77	8	graph	graph	NOUN
ejpam-5673	77	9	with	with	ADP
ejpam-5673	77	10	3n+1	3n+1	PROPN
ejpam-5673	77	11	vertices	vertex	NOUN
ejpam-5673	77	12	,	,	PUNCT
ejpam-5673	77	13	then	then	ADV
ejpam-5673	77	14	teis	teis	PROPN
ejpam-5673	77	15	is	be	AUX
ejpam-5673	77	16	given	give	VERB
ejpam-5673	77	17	by	by	ADP
ejpam-5673	77	18	:	:	PUNCT
ejpam-5673	77	19	tes(ps3,n	tes(ps3,n	NOUN
ejpam-5673	77	20	)	)	PUNCT
ejpam-5673	77	21	=	=	SYM
ejpam-5673	78	1	n	n	PROPN
ejpam-5673	78	2	+	+	SYM
ejpam-5673	78	3	1	1	NUM
ejpam-5673	78	4	h.	h.	PROPN
ejpam-5673	78	5	attiya	attiya	PROPN
ejpam-5673	78	6	,	,	PUNCT
ejpam-5673	78	7	n.	n.	PROPN
ejpam-5673	78	8	ahmed	ahmed	PROPN
ejpam-5673	78	9	,	,	PUNCT
ejpam-5673	78	10	f.	f.	PROPN
ejpam-5673	78	11	salama	salama	PROPN
ejpam-5673	78	12	/	/	SYM
ejpam-5673	78	13	eur	eur	PROPN
ejpam-5673	78	14	.	.	PUNCT
ejpam-5673	79	1	j.	j.	PROPN
ejpam-5673	79	2	pure	pure	PROPN
ejpam-5673	79	3	appl	appl	PROPN
ejpam-5673	79	4	.	.	PROPN
ejpam-5673	79	5	math	math	PROPN
ejpam-5673	79	6	,	,	PUNCT
ejpam-5673	79	7	18	18	NUM
ejpam-5673	79	8	(	(	PUNCT
ejpam-5673	79	9	2	2	NUM
ejpam-5673	79	10	)	)	PUNCT
ejpam-5673	79	11	(	(	PUNCT
ejpam-5673	79	12	2025	2025	NUM
ejpam-5673	79	13	)	)	PUNCT
ejpam-5673	79	14	,	,	PUNCT
ejpam-5673	79	15	5673	5673	NUM
ejpam-5673	79	16	4	4	NUM
ejpam-5673	79	17	of	of	ADP
ejpam-5673	79	18	11	11	NUM
ejpam-5673	79	19	proof	proof	NOUN
ejpam-5673	79	20	.	.	PUNCT
ejpam-5673	80	1	since	since	SCONJ
ejpam-5673	80	2	|e(ps3,n)|	|e(ps3,n)|	NOUN
ejpam-5673	80	3	=	=	VERB
ejpam-5673	80	4	3n	3n	NUM
ejpam-5673	80	5	and	and	CCONJ
ejpam-5673	80	6	∆(ps3,n	∆(ps3,n	NOUN
ejpam-5673	80	7	)	)	PUNCT
ejpam-5673	80	8	=	=	SYM
ejpam-5673	80	9	3	3	NUM
ejpam-5673	80	10	,	,	PUNCT
ejpam-5673	80	11	then	then	ADV
ejpam-5673	80	12	inequality	inequality	NOUN
ejpam-5673	80	13	(	(	PUNCT
ejpam-5673	80	14	1	1	NUM
ejpam-5673	80	15	)	)	PUNCT
ejpam-5673	80	16	becomes	become	VERB
ejpam-5673	80	17	tes(ps3,n	tes(ps3,n	PROPN
ejpam-5673	80	18	)	)	PUNCT
ejpam-5673	80	19	≥	≥	NOUN
ejpam-5673	80	20	n	n	NOUN
ejpam-5673	80	21	+	+	NUM
ejpam-5673	80	22	1	1	X
ejpam-5673	80	23	.	.	PUNCT
ejpam-5673	80	24	to	to	PART
ejpam-5673	80	25	complete	complete	VERB
ejpam-5673	80	26	the	the	DET
ejpam-5673	80	27	proof	proof	NOUN
ejpam-5673	80	28	,	,	PUNCT
ejpam-5673	80	29	we	we	PRON
ejpam-5673	80	30	will	will	AUX
ejpam-5673	80	31	prove	prove	VERB
ejpam-5673	80	32	the	the	DET
ejpam-5673	80	33	inverse	inverse	NOUN
ejpam-5673	80	34	inequality	inequality	NOUN
ejpam-5673	80	35	.	.	PUNCT
ejpam-5673	81	1	let	let	VERB
ejpam-5673	81	2	ζ	ζ	NOUN
ejpam-5673	81	3	=	=	SYM
ejpam-5673	81	4	n	n	NOUN
ejpam-5673	81	5	+	+	CCONJ
ejpam-5673	81	6	1	1	NUM
ejpam-5673	81	7	and	and	CCONJ
ejpam-5673	81	8	ω	ω	NUM
ejpam-5673	81	9	:	:	PUNCT
ejpam-5673	81	10	v	v	X
ejpam-5673	81	11	(	(	PUNCT
ejpam-5673	81	12	ps3,n	ps3,n	NOUN
ejpam-5673	81	13	)	)	PUNCT
ejpam-5673	81	14	∪	∪	ADP
ejpam-5673	81	15	e(ps3,n	e(ps3,n	NOUN
ejpam-5673	81	16	)	)	PUNCT
ejpam-5673	81	17	→	→	SYM
ejpam-5673	81	18	{	{	PUNCT
ejpam-5673	81	19	1	1	NUM
ejpam-5673	81	20	,	,	PUNCT
ejpam-5673	81	21	2	2	NUM
ejpam-5673	81	22	,	,	PUNCT
ejpam-5673	81	23	3	3	NUM
ejpam-5673	81	24	,	,	PUNCT
ejpam-5673	81	25	....	....	PUNCT
ejpam-5673	81	26	,	,	PUNCT
ejpam-5673	81	27	ζ	ζ	NOUN
ejpam-5673	81	28	}	}	PUNCT
ejpam-5673	81	29	is	be	AUX
ejpam-5673	81	30	a	a	DET
ejpam-5673	81	31	total	total	ADJ
ejpam-5673	81	32	ζ	ζ	NOUN
ejpam-5673	81	33	-	-	PUNCT
ejpam-5673	81	34	labeling	labeling	NOUN
ejpam-5673	81	35	defined	define	VERB
ejpam-5673	81	36	as	as	ADP
ejpam-5673	81	37	:	:	PUNCT
ejpam-5673	81	38	ω(xδ	ω(xδ	NUM
ejpam-5673	81	39	)	)	PUNCT
ejpam-5673	81	40	=	=	SYM
ejpam-5673	81	41	δ	δ	PROPN
ejpam-5673	81	42	for	for	ADP
ejpam-5673	81	43	δ	δ	PROPN
ejpam-5673	81	44	∈	∈	PROPN
ejpam-5673	81	45	{	{	PUNCT
ejpam-5673	81	46	1	1	NUM
ejpam-5673	81	47	,	,	PUNCT
ejpam-5673	81	48	2	2	NUM
ejpam-5673	81	49	,	,	PUNCT
ejpam-5673	81	50	3	3	NUM
ejpam-5673	81	51	,	,	PUNCT
ejpam-5673	81	52	....	....	PUNCT
ejpam-5673	81	53	,	,	PUNCT
ejpam-5673	81	54	n	n	PROPN
ejpam-5673	81	55	+	+	CCONJ
ejpam-5673	81	56	1	1	NUM
ejpam-5673	81	57	}	}	SYM
ejpam-5673	81	58	ω(xδyδ	ω(xδyδ	PROPN
ejpam-5673	81	59	)	)	PUNCT
ejpam-5673	82	1	=	=	SYM
ejpam-5673	82	2	δ	δ	PROPN
ejpam-5673	82	3	for	for	ADP
ejpam-5673	82	4	δ	δ	PROPN
ejpam-5673	82	5	∈	∈	PROPN
ejpam-5673	82	6	{	{	PUNCT
ejpam-5673	82	7	1	1	NUM
ejpam-5673	82	8	,	,	PUNCT
ejpam-5673	82	9	2	2	NUM
ejpam-5673	82	10	,	,	PUNCT
ejpam-5673	82	11	3	3	NUM
ejpam-5673	82	12	,	,	PUNCT
ejpam-5673	82	13	....	....	PUNCT
ejpam-5673	82	14	,	,	PUNCT
ejpam-5673	82	15	n	n	CCONJ
ejpam-5673	82	16	}	}	PUNCT
ejpam-5673	82	17	ω(yδxδ+1	ω(yδxδ+1	NUM
ejpam-5673	82	18	)	)	PUNCT
ejpam-5673	82	19	=	=	SYM
ejpam-5673	82	20	ω(yδzδ	ω(yδzδ	NOUN
ejpam-5673	82	21	)	)	PUNCT
ejpam-5673	82	22	=	=	SYM
ejpam-5673	82	23	δ	δ	PROPN
ejpam-5673	82	24	+	+	CCONJ
ejpam-5673	82	25	1	1	NUM
ejpam-5673	82	26	for	for	ADP
ejpam-5673	82	27	δ	δ	PROPN
ejpam-5673	82	28	∈	∈	PROPN
ejpam-5673	82	29	{	{	PUNCT
ejpam-5673	82	30	1	1	NUM
ejpam-5673	82	31	,	,	PUNCT
ejpam-5673	82	32	2	2	NUM
ejpam-5673	82	33	,	,	PUNCT
ejpam-5673	82	34	3	3	NUM
ejpam-5673	82	35	,	,	PUNCT
ejpam-5673	82	36	....	....	PUNCT
ejpam-5673	82	37	,	,	PUNCT
ejpam-5673	82	38	n	n	CCONJ
ejpam-5673	82	39	}	}	PUNCT
ejpam-5673	82	40	the	the	DET
ejpam-5673	82	41	above	above	ADJ
ejpam-5673	82	42	equations	equation	NOUN
ejpam-5673	82	43	mean	mean	VERB
ejpam-5673	82	44	that	that	SCONJ
ejpam-5673	82	45	ζ	ζ	NOUN
ejpam-5673	82	46	=	=	SYM
ejpam-5673	82	47	n	n	NOUN
ejpam-5673	82	48	+	+	NOUN
ejpam-5673	82	49	1	1	NUM
ejpam-5673	82	50	is	be	AUX
ejpam-5673	82	51	the	the	DET
ejpam-5673	82	52	greatest	great	ADJ
ejpam-5673	82	53	label	label	NOUN
ejpam-5673	82	54	of	of	ADP
ejpam-5673	82	55	edges	edge	NOUN
ejpam-5673	82	56	and	and	CCONJ
ejpam-5673	82	57	vertices	vertex	NOUN
ejpam-5673	82	58	.	.	PUNCT
ejpam-5673	83	1	the	the	DET
ejpam-5673	83	2	weights	weight	NOUN
ejpam-5673	83	3	of	of	ADP
ejpam-5673	83	4	edges	edge	NOUN
ejpam-5673	83	5	are	be	AUX
ejpam-5673	83	6	given	give	VERB
ejpam-5673	83	7	by	by	ADP
ejpam-5673	83	8	:	:	PUNCT
ejpam-5673	83	9	wω(xδyδ	wω(xδyδ	PROPN
ejpam-5673	83	10	)	)	PUNCT
ejpam-5673	84	1	=	=	SYM
ejpam-5673	84	2	3δ	3δ	NOUN
ejpam-5673	84	3	for	for	ADP
ejpam-5673	84	4	δ	δ	PROPN
ejpam-5673	84	5	∈	∈	PROPN
ejpam-5673	84	6	{	{	PUNCT
ejpam-5673	84	7	1	1	NUM
ejpam-5673	84	8	,	,	PUNCT
ejpam-5673	84	9	2	2	NUM
ejpam-5673	84	10	,	,	PUNCT
ejpam-5673	84	11	3	3	NUM
ejpam-5673	84	12	,	,	PUNCT
ejpam-5673	84	13	....	....	PUNCT
ejpam-5673	84	14	,	,	PUNCT
ejpam-5673	84	15	n	n	CCONJ
ejpam-5673	84	16	}	}	PUNCT
ejpam-5673	84	17	wω(yδxδ+1	wω(yδxδ+1	PROPN
ejpam-5673	84	18	)	)	PUNCT
ejpam-5673	84	19	=	=	VERB
ejpam-5673	85	1	3δ	3δ	NOUN
ejpam-5673	85	2	+	+	CCONJ
ejpam-5673	85	3	2	2	NUM
ejpam-5673	85	4	for	for	ADP
ejpam-5673	85	5	δ	δ	PROPN
ejpam-5673	85	6	∈	∈	PROPN
ejpam-5673	85	7	{	{	PUNCT
ejpam-5673	85	8	1	1	NUM
ejpam-5673	85	9	,	,	PUNCT
ejpam-5673	85	10	2	2	NUM
ejpam-5673	85	11	,	,	PUNCT
ejpam-5673	85	12	3	3	NUM
ejpam-5673	85	13	,	,	PUNCT
ejpam-5673	85	14	....	....	PUNCT
ejpam-5673	85	15	,	,	PUNCT
ejpam-5673	85	16	n	n	CCONJ
ejpam-5673	85	17	}	}	PUNCT
ejpam-5673	85	18	wω(yδzδ	wω(yδzδ	NOUN
ejpam-5673	85	19	)	)	PUNCT
ejpam-5673	85	20	=	=	SYM
ejpam-5673	86	1	3δ	3δ	NOUN
ejpam-5673	87	1	+	+	CCONJ
ejpam-5673	87	2	1	1	NUM
ejpam-5673	87	3	for	for	ADP
ejpam-5673	87	4	δ	δ	PROPN
ejpam-5673	87	5	∈	∈	PROPN
ejpam-5673	87	6	{	{	PUNCT
ejpam-5673	87	7	1	1	NUM
ejpam-5673	87	8	,	,	PUNCT
ejpam-5673	87	9	2	2	NUM
ejpam-5673	87	10	,	,	PUNCT
ejpam-5673	87	11	3	3	NUM
ejpam-5673	87	12	,	,	PUNCT
ejpam-5673	87	13	....	....	PUNCT
ejpam-5673	87	14	,	,	PUNCT
ejpam-5673	87	15	n	n	CCONJ
ejpam-5673	87	16	}	}	PUNCT
ejpam-5673	87	17	it	it	PRON
ejpam-5673	87	18	is	be	AUX
ejpam-5673	87	19	clear	clear	ADJ
ejpam-5673	87	20	that	that	SCONJ
ejpam-5673	87	21	the	the	DET
ejpam-5673	87	22	edges	edge	NOUN
ejpam-5673	87	23	weights	weight	NOUN
ejpam-5673	87	24	are	be	AUX
ejpam-5673	87	25	dissimilar	dissimilar	ADJ
ejpam-5673	87	26	.	.	PUNCT
ejpam-5673	88	1	then	then	ADV
ejpam-5673	88	2	,	,	PUNCT
ejpam-5673	88	3	tes(ps3,n	tes(ps3,n	PROPN
ejpam-5673	88	4	)	)	PUNCT
ejpam-5673	88	5	≥	≥	NOUN
ejpam-5673	88	6	n	n	PROPN
ejpam-5673	89	1	+	+	NUM
ejpam-5673	89	2	1	1	NUM
ejpam-5673	89	3	.	.	PUNCT
ejpam-5673	90	1	definition	definition	NOUN
ejpam-5673	90	2	2	2	NUM
ejpam-5673	90	3	.	.	PUNCT
ejpam-5673	91	1	the	the	DET
ejpam-5673	91	2	m	m	PROPN
ejpam-5673	91	3	-	-	PUNCT
ejpam-5673	91	4	star	star	NOUN
ejpam-5673	91	5	snake	snake	NOUN
ejpam-5673	91	6	graph	graph	NOUN
ejpam-5673	91	7	psm	psm	PROPN
ejpam-5673	91	8	,	,	PUNCT
ejpam-5673	91	9	n	n	PRON
ejpam-5673	91	10	is	be	AUX
ejpam-5673	91	11	a	a	DET
ejpam-5673	91	12	path	path	NOUN
ejpam-5673	91	13	pn	pn	NOUN
ejpam-5673	91	14	in	in	ADP
ejpam-5673	91	15	which	which	PRON
ejpam-5673	91	16	we	we	PRON
ejpam-5673	91	17	replace	replace	VERB
ejpam-5673	91	18	each	each	DET
ejpam-5673	91	19	edge	edge	NOUN
ejpam-5673	91	20	with	with	ADP
ejpam-5673	91	21	a	a	DET
ejpam-5673	91	22	star	star	NOUN
ejpam-5673	91	23	sm	sm	INTJ
ejpam-5673	91	24	(	(	PUNCT
ejpam-5673	91	25	see	see	VERB
ejpam-5673	91	26	fig	fig	NOUN
ejpam-5673	91	27	.	.	PUNCT
ejpam-5673	92	1	2	2	NUM
ejpam-5673	92	2	,	,	PUNCT
ejpam-5673	92	3	3	3	NUM
ejpam-5673	92	4	)	)	PUNCT
ejpam-5673	92	5	.	.	PUNCT
ejpam-5673	93	1	figure	figure	VERB
ejpam-5673	93	2	2	2	NUM
ejpam-5673	93	3	:	:	PUNCT
ejpam-5673	93	4	m	m	PROPN
ejpam-5673	93	5	-	-	PUNCT
ejpam-5673	93	6	star	star	NOUN
ejpam-5673	93	7	snake	snake	NOUN
ejpam-5673	93	8	graph	graph	NOUN
ejpam-5673	93	9	psm	psm	PROPN
ejpam-5673	93	10	,	,	PUNCT
ejpam-5673	93	11	n	n	CCONJ
ejpam-5673	93	12	,	,	PUNCT
ejpam-5673	93	13	(	(	PUNCT
ejpam-5673	93	14	m	m	NOUN
ejpam-5673	93	15	is	be	AUX
ejpam-5673	93	16	odd	odd	ADJ
ejpam-5673	93	17	)	)	PUNCT
ejpam-5673	93	18	figure	figure	NOUN
ejpam-5673	93	19	3	3	NUM
ejpam-5673	93	20	:	:	PUNCT
ejpam-5673	93	21	m	m	PROPN
ejpam-5673	93	22	-	-	PUNCT
ejpam-5673	93	23	star	star	NOUN
ejpam-5673	93	24	snake	snake	NOUN
ejpam-5673	93	25	graph	graph	NOUN
ejpam-5673	93	26	psm	psm	PROPN
ejpam-5673	93	27	,	,	PUNCT
ejpam-5673	93	28	n	n	CCONJ
ejpam-5673	93	29	,	,	PUNCT
ejpam-5673	93	30	(	(	PUNCT
ejpam-5673	93	31	m	m	NOUN
ejpam-5673	93	32	is	be	AUX
ejpam-5673	93	33	even	even	ADV
ejpam-5673	93	34	)	)	PUNCT
ejpam-5673	93	35	theorem	theorem	NOUN
ejpam-5673	93	36	2	2	NUM
ejpam-5673	93	37	.	.	PUNCT
ejpam-5673	94	1	the	the	DET
ejpam-5673	94	2	teis	teis	NOUN
ejpam-5673	94	3	of	of	ADP
ejpam-5673	94	4	the	the	DET
ejpam-5673	94	5	m	m	PROPN
ejpam-5673	94	6	-	-	PROPN
ejpam-5673	94	7	star	star	NOUN
ejpam-5673	94	8	snake	snake	NOUN
ejpam-5673	94	9	graph	graph	NOUN
ejpam-5673	94	10	psm	psm	PROPN
ejpam-5673	94	11	,	,	PUNCT
ejpam-5673	94	12	n	n	PROPN
ejpam-5673	94	13	with	with	ADP
ejpam-5673	94	14	mn	mn	PROPN
ejpam-5673	94	15	+	+	CCONJ
ejpam-5673	94	16	1	1	NUM
ejpam-5673	94	17	vertices	vertex	NOUN
ejpam-5673	94	18	n	n	X
ejpam-5673	94	19	>	>	SYM
ejpam-5673	94	20	1	1	NUM
ejpam-5673	94	21	is	be	AUX
ejpam-5673	94	22	given	give	VERB
ejpam-5673	94	23	by	by	ADP
ejpam-5673	94	24	tes(psm	tes(psm	PROPN
ejpam-5673	94	25	,	,	PUNCT
ejpam-5673	94	26	n	n	CCONJ
ejpam-5673	94	27	)	)	PUNCT
ejpam-5673	94	28	=	=	SYM
ejpam-5673	94	29	mn	mn	PROPN
ejpam-5673	94	30	+	+	CCONJ
ejpam-5673	94	31	2	2	NUM
ejpam-5673	94	32	3	3	NUM
ejpam-5673	94	33	(	(	PUNCT
ejpam-5673	94	34	3	3	NUM
ejpam-5673	94	35	)	)	PUNCT
ejpam-5673	94	36	h.	h.	PROPN
ejpam-5673	94	37	attiya	attiya	PROPN
ejpam-5673	94	38	,	,	PUNCT
ejpam-5673	94	39	n.	n.	PROPN
ejpam-5673	94	40	ahmed	ahmed	PROPN
ejpam-5673	94	41	,	,	PUNCT
ejpam-5673	94	42	f.	f.	PROPN
ejpam-5673	94	43	salama	salama	PROPN
ejpam-5673	94	44	/	/	SYM
ejpam-5673	94	45	eur	eur	PROPN
ejpam-5673	94	46	.	.	PUNCT
ejpam-5673	95	1	j.	j.	PROPN
ejpam-5673	95	2	pure	pure	PROPN
ejpam-5673	95	3	appl	appl	PROPN
ejpam-5673	95	4	.	.	PROPN
ejpam-5673	95	5	math	math	PROPN
ejpam-5673	95	6	,	,	PUNCT
ejpam-5673	95	7	18	18	NUM
ejpam-5673	95	8	(	(	PUNCT
ejpam-5673	95	9	2	2	NUM
ejpam-5673	95	10	)	)	PUNCT
ejpam-5673	95	11	(	(	PUNCT
ejpam-5673	95	12	2025	2025	NUM
ejpam-5673	95	13	)	)	PUNCT
ejpam-5673	95	14	,	,	PUNCT
ejpam-5673	95	15	5673	5673	NUM
ejpam-5673	95	16	5	5	NUM
ejpam-5673	95	17	of	of	ADP
ejpam-5673	95	18	11	11	NUM
ejpam-5673	95	19	proof	proof	NOUN
ejpam-5673	95	20	.	.	PUNCT
ejpam-5673	96	1	by	by	ADP
ejpam-5673	96	2	substituting	substitute	VERB
ejpam-5673	96	3	with	with	ADP
ejpam-5673	96	4	|e(ps4,n)|	|e(ps4,n)|	NOUN
ejpam-5673	96	5	=	=	SYM
ejpam-5673	96	6	mn	mn	PROPN
ejpam-5673	96	7	and	and	CCONJ
ejpam-5673	96	8	∆(psm	∆(psm	PROPN
ejpam-5673	96	9	,	,	PUNCT
ejpam-5673	96	10	n	n	CCONJ
ejpam-5673	96	11	)	)	PUNCT
ejpam-5673	96	12	=	=	SYM
ejpam-5673	96	13	m	m	VERB
ejpam-5673	96	14	in	in	ADP
ejpam-5673	96	15	inequality	inequality	NOUN
ejpam-5673	96	16	(	(	PUNCT
ejpam-5673	96	17	3	3	NUM
ejpam-5673	96	18	)	)	PUNCT
ejpam-5673	96	19	,	,	PUNCT
ejpam-5673	96	20	we	we	PRON
ejpam-5673	96	21	find	find	VERB
ejpam-5673	96	22	tes(psm	tes(psm	NOUN
ejpam-5673	96	23	,	,	PUNCT
ejpam-5673	96	24	n	n	CCONJ
ejpam-5673	96	25	)	)	PUNCT
ejpam-5673	96	26	≥	≥	NOUN
ejpam-5673	96	27	mn	mn	PROPN
ejpam-5673	97	1	+	+	CCONJ
ejpam-5673	97	2	2	2	NUM
ejpam-5673	97	3	3	3	NUM
ejpam-5673	97	4	(	(	PUNCT
ejpam-5673	97	5	4	4	NUM
ejpam-5673	97	6	)	)	PUNCT
ejpam-5673	97	7	an	an	DET
ejpam-5673	97	8	edge	edge	NOUN
ejpam-5673	97	9	irregular	irregular	ADJ
ejpam-5673	97	10	total	total	ADJ
ejpam-5673	97	11	ζ	ζ	NOUN
ejpam-5673	97	12	-	-	PUNCT
ejpam-5673	97	13	labeling	labeling	NOUN
ejpam-5673	97	14	will	will	AUX
ejpam-5673	97	15	be	be	AUX
ejpam-5673	97	16	shown	show	VERB
ejpam-5673	97	17	assuming	assume	VERB
ejpam-5673	97	18	that	that	SCONJ
ejpam-5673	97	19	a	a	DET
ejpam-5673	97	20	map	map	NOUN
ejpam-5673	97	21	ω	ω	NOUN
ejpam-5673	97	22	:	:	PUNCT
ejpam-5673	97	23	e(psm	e(psm	ADJ
ejpam-5673	97	24	,	,	PUNCT
ejpam-5673	97	25	n	n	CCONJ
ejpam-5673	97	26	)	)	PUNCT
ejpam-5673	97	27	∪	∪	ADP
ejpam-5673	97	28	v	v	NOUN
ejpam-5673	97	29	(	(	PUNCT
ejpam-5673	97	30	psm	psm	NOUN
ejpam-5673	97	31	,	,	PUNCT
ejpam-5673	97	32	n	n	CCONJ
ejpam-5673	97	33	)	)	PUNCT
ejpam-5673	97	34	→	→	SYM
ejpam-5673	97	35	{	{	PUNCT
ejpam-5673	97	36	1	1	NUM
ejpam-5673	97	37	,	,	PUNCT
ejpam-5673	97	38	2	2	NUM
ejpam-5673	97	39	,	,	PUNCT
ejpam-5673	97	40	3	3	NUM
ejpam-5673	97	41	,	,	PUNCT
ejpam-5673	97	42	....	....	PUNCT
ejpam-5673	97	43	,	,	PUNCT
ejpam-5673	97	44	ζ	ζ	NOUN
ejpam-5673	97	45	}	}	PUNCT
ejpam-5673	97	46	is	be	AUX
ejpam-5673	97	47	a	a	DET
ejpam-5673	97	48	total	total	ADJ
ejpam-5673	97	49	ζ	ζ	NOUN
ejpam-5673	97	50	-	-	PUNCT
ejpam-5673	97	51	labeling	labeling	NOUN
ejpam-5673	97	52	defined	define	VERB
ejpam-5673	97	53	in	in	ADP
ejpam-5673	97	54	two	two	NUM
ejpam-5673	97	55	cases	case	NOUN
ejpam-5673	97	56	:	:	PUNCT
ejpam-5673	97	57	case	case	NOUN
ejpam-5673	97	58	1	1	NUM
ejpam-5673	97	59	:	:	PUNCT
ejpam-5673	97	60	m	m	VERB
ejpam-5673	97	61	is	be	AUX
ejpam-5673	97	62	even	even	ADV
ejpam-5673	97	63	,	,	PUNCT
ejpam-5673	97	64	ω	ω	PROPN
ejpam-5673	97	65	is	be	AUX
ejpam-5673	97	66	defined	define	VERB
ejpam-5673	97	67	as	as	ADP
ejpam-5673	97	68	:	:	PUNCT
ejpam-5673	97	69	ω(xδ	ω(xδ	NUM
ejpam-5673	97	70	)	)	PUNCT
ejpam-5673	97	71	=	=	PUNCT
ejpam-5673	98	1			PROPN
ejpam-5673	98	2	m	m	VERB
ejpam-5673	98	3	2	2	NUM
ejpam-5673	98	4	(	(	PUNCT
ejpam-5673	98	5	δ	δ	NOUN
ejpam-5673	98	6	−	−	PROPN
ejpam-5673	98	7	1	1	NUM
ejpam-5673	98	8	)	)	PUNCT
ejpam-5673	98	9	+	+	CCONJ
ejpam-5673	98	10	1	1	NUM
ejpam-5673	98	11	for	for	ADP
ejpam-5673	98	12	δ	δ	PROPN
ejpam-5673	98	13	∈	∈	PROPN
ejpam-5673	98	14	{	{	PUNCT
ejpam-5673	98	15	1	1	NUM
ejpam-5673	98	16	,	,	PUNCT
ejpam-5673	98	17	2	2	NUM
ejpam-5673	98	18	,	,	PUNCT
ejpam-5673	98	19	3	3	NUM
ejpam-5673	98	20	,	,	PUNCT
ejpam-5673	98	21	...	...	PUNCT
ejpam-5673	98	22	,	,	PUNCT
ejpam-5673	98	23	ζ−1	ζ−1	PROPN
ejpam-5673	98	24	m	m	VERB
ejpam-5673	98	25	2	2	NUM
ejpam-5673	98	26	+	+	CCONJ
ejpam-5673	98	27	1	1	NUM
ejpam-5673	98	28	}	}	PUNCT
ejpam-5673	98	29	ζ	ζ	NOUN
ejpam-5673	98	30	for	for	ADP
ejpam-5673	98	31	δ	δ	PROPN
ejpam-5673	98	32	∈	∈	PROPN
ejpam-5673	98	33	{	{	PUNCT
ejpam-5673	98	34	ζ−1	ζ−1	PROPN
ejpam-5673	98	35	m	m	VERB
ejpam-5673	98	36	2	2	NUM
ejpam-5673	98	37	+	+	CCONJ
ejpam-5673	98	38	2	2	NUM
ejpam-5673	98	39	,	,	PUNCT
ejpam-5673	98	40	...	...	PUNCT
ejpam-5673	98	41	,	,	PUNCT
ejpam-5673	98	42	n	n	PROPN
ejpam-5673	98	43	+	+	CCONJ
ejpam-5673	98	44	1	1	NUM
ejpam-5673	98	45	}	}	PUNCT
ejpam-5673	98	46	ω(yδ	ω(yδ	NUM
ejpam-5673	98	47	)	)	PUNCT
ejpam-5673	98	48	=	=	PUNCT
ejpam-5673	99	1			PROPN
ejpam-5673	99	2	m	m	VERB
ejpam-5673	99	3	2	2	NUM
ejpam-5673	99	4	(	(	PUNCT
ejpam-5673	99	5	δ	δ	NOUN
ejpam-5673	99	6	−	−	PROPN
ejpam-5673	99	7	1	1	NUM
ejpam-5673	99	8	)	)	PUNCT
ejpam-5673	99	9	+	+	CCONJ
ejpam-5673	99	10	1	1	NUM
ejpam-5673	99	11	for	for	ADP
ejpam-5673	99	12	δ	δ	PROPN
ejpam-5673	99	13	∈	∈	PROPN
ejpam-5673	99	14	{	{	PUNCT
ejpam-5673	99	15	1	1	NUM
ejpam-5673	99	16	,	,	PUNCT
ejpam-5673	99	17	2	2	NUM
ejpam-5673	99	18	,	,	PUNCT
ejpam-5673	99	19	3	3	NUM
ejpam-5673	99	20	,	,	PUNCT
ejpam-5673	99	21	...	...	PUNCT
ejpam-5673	99	22	,	,	PUNCT
ejpam-5673	99	23	ζ−1	ζ−1	PROPN
ejpam-5673	99	24	m	m	VERB
ejpam-5673	99	25	2	2	NUM
ejpam-5673	99	26	+	+	CCONJ
ejpam-5673	99	27	1	1	NUM
ejpam-5673	99	28	}	}	PUNCT
ejpam-5673	99	29	ζ	ζ	NOUN
ejpam-5673	99	30	for	for	ADP
ejpam-5673	99	31	δ	δ	PROPN
ejpam-5673	99	32	∈	∈	PROPN
ejpam-5673	99	33	{	{	PUNCT
ejpam-5673	99	34	ζ−1	ζ−1	PROPN
ejpam-5673	99	35	m	m	VERB
ejpam-5673	99	36	2	2	NUM
ejpam-5673	99	37	+	+	CCONJ
ejpam-5673	99	38	2	2	NUM
ejpam-5673	99	39	,	,	PUNCT
ejpam-5673	99	40	...	...	PUNCT
ejpam-5673	99	41	,	,	PUNCT
ejpam-5673	99	42	n	n	CCONJ
ejpam-5673	99	43	}	}	PUNCT
ejpam-5673	99	44	ω(hsδ	ω(hsδ	NUM
ejpam-5673	99	45	)	)	PUNCT
ejpam-5673	99	46	=	=	SYM
ejpam-5673	99	47	ω(zsδ	ω(zsδ	NOUN
ejpam-5673	99	48	)	)	PUNCT
ejpam-5673	99	49	=	=	SYM
ejpam-5673	99	50			PROPN
ejpam-5673	99	51	(	(	PUNCT
ejpam-5673	99	52	m2	m2	PROPN
ejpam-5673	99	53	−	−	PROPN
ejpam-5673	99	54	1)(δ	1)(δ	NUM
ejpam-5673	99	55	−	−	NOUN
ejpam-5673	99	56	1	1	NUM
ejpam-5673	99	57	)	)	PUNCT
ejpam-5673	99	58	+	+	PRON
ejpam-5673	99	59	s	s	VERB
ejpam-5673	99	60	for	for	ADP
ejpam-5673	99	61	δ	δ	PROPN
ejpam-5673	99	62	∈	∈	PROPN
ejpam-5673	99	63	{	{	PUNCT
ejpam-5673	99	64	1	1	NUM
ejpam-5673	99	65	,	,	PUNCT
ejpam-5673	99	66	2	2	NUM
ejpam-5673	99	67	,	,	PUNCT
ejpam-5673	99	68	3	3	NUM
ejpam-5673	99	69	,	,	PUNCT
ejpam-5673	99	70	...	...	PUNCT
ejpam-5673	99	71	,	,	PUNCT
ejpam-5673	99	72	ζ−1	ζ−1	PROPN
ejpam-5673	99	73	m	m	VERB
ejpam-5673	99	74	2	2	NUM
ejpam-5673	99	75	+	+	CCONJ
ejpam-5673	99	76	1	1	NUM
ejpam-5673	99	77	}	}	PUNCT
ejpam-5673	99	78	(	(	PUNCT
ejpam-5673	99	79	m2	m2	PROPN
ejpam-5673	99	80	−	−	PROPN
ejpam-5673	99	81	1)(δ	1)(δ	NUM
ejpam-5673	99	82	−	−	NOUN
ejpam-5673	99	83	1	1	NUM
ejpam-5673	99	84	)	)	PUNCT
ejpam-5673	99	85	+	+	PRON
ejpam-5673	99	86	s	s	VERB
ejpam-5673	99	87	for	for	ADP
ejpam-5673	99	88			PRON
ejpam-5673	99	89	δ	δ	X
ejpam-5673	99	90	=	=	PUNCT
ejpam-5673	100	1	ζ−1	ζ−1	PROPN
ejpam-5673	100	2	m	m	VERB
ejpam-5673	100	3	2	2	NUM
ejpam-5673	100	4	+	+	CCONJ
ejpam-5673	100	5	2	2	NUM
ejpam-5673	100	6	s	s	NOUN
ejpam-5673	100	7	=	=	PUNCT
ejpam-5673	100	8	{	{	PUNCT
ejpam-5673	100	9	1	1	NUM
ejpam-5673	100	10	,	,	PUNCT
ejpam-5673	100	11	2	2	NUM
ejpam-5673	100	12	,	,	PUNCT
ejpam-5673	100	13	3	3	NUM
ejpam-5673	100	14	,	,	PUNCT
ejpam-5673	100	15	...	...	PUNCT
ejpam-5673	100	16	,	,	PUNCT
ejpam-5673	100	17	ζ	ζ	NOUN
ejpam-5673	100	18	−	−	PROPN
ejpam-5673	100	19	(	(	PUNCT
ejpam-5673	100	20	m2	m2	PROPN
ejpam-5673	100	21	−	−	PROPN
ejpam-5673	100	22	1)(δ	1)(δ	NUM
ejpam-5673	101	1	−	−	NOUN
ejpam-5673	101	2	1	1	NUM
ejpam-5673	101	3	)	)	PUNCT
ejpam-5673	101	4	}	}	PUNCT
ejpam-5673	101	5	ζ	ζ	NOUN
ejpam-5673	101	6	for	for	ADP
ejpam-5673	101	7			PRON
ejpam-5673	101	8	δ	δ	X
ejpam-5673	101	9	=	=	PUNCT
ejpam-5673	102	1	ζ−1	ζ−1	PROPN
ejpam-5673	102	2	m	m	VERB
ejpam-5673	102	3	2	2	NUM
ejpam-5673	102	4	+	+	CCONJ
ejpam-5673	102	5	2	2	NUM
ejpam-5673	102	6	s	s	NOUN
ejpam-5673	102	7	=	=	PUNCT
ejpam-5673	102	8	{	{	PUNCT
ejpam-5673	102	9	ζ	ζ	NOUN
ejpam-5673	102	10	−	−	PROPN
ejpam-5673	102	11	(	(	PUNCT
ejpam-5673	102	12	m2	m2	PROPN
ejpam-5673	102	13	−	−	PROPN
ejpam-5673	102	14	1)(δ	1)(δ	NUM
ejpam-5673	103	1	−	−	NOUN
ejpam-5673	103	2	1	1	NUM
ejpam-5673	103	3	)	)	PUNCT
ejpam-5673	103	4	+	+	NUM
ejpam-5673	103	5	1	1	NUM
ejpam-5673	103	6	,	,	PUNCT
ejpam-5673	103	7	...	...	PUNCT
ejpam-5673	103	8	,	,	PUNCT
ejpam-5673	103	9	m2	m2	PROPN
ejpam-5673	103	10	−	−	PROPN
ejpam-5673	103	11	1	1	NUM
ejpam-5673	103	12	}	}	PUNCT
ejpam-5673	103	13	ζ	ζ	NOUN
ejpam-5673	103	14	for	for	ADP
ejpam-5673	103	15	δ	δ	PROPN
ejpam-5673	103	16	∈	∈	PROPN
ejpam-5673	103	17	{	{	PUNCT
ejpam-5673	103	18	ζ−1	ζ−1	PROPN
ejpam-5673	103	19	m	m	PROPN
ejpam-5673	103	20	2	2	NUM
ejpam-5673	103	21	+	+	CCONJ
ejpam-5673	103	22	3	3	NUM
ejpam-5673	103	23	,	,	PUNCT
ejpam-5673	103	24	...	...	PUNCT
ejpam-5673	103	25	,	,	PUNCT
ejpam-5673	103	26	n	n	CCONJ
ejpam-5673	103	27	}	}	PUNCT
ejpam-5673	103	28	ω(xδyδ	ω(xδyδ	PROPN
ejpam-5673	103	29	)	)	PUNCT
ejpam-5673	103	30	=	=	PUNCT
ejpam-5673	103	31			SYM
ejpam-5673	103	32	1	1	NUM
ejpam-5673	103	33	for	for	ADP
ejpam-5673	103	34	δ	δ	PROPN
ejpam-5673	103	35	∈	∈	PROPN
ejpam-5673	103	36	{	{	PUNCT
ejpam-5673	103	37	1	1	NUM
ejpam-5673	103	38	,	,	PUNCT
ejpam-5673	103	39	2	2	NUM
ejpam-5673	103	40	,	,	PUNCT
ejpam-5673	103	41	3	3	NUM
ejpam-5673	103	42	,	,	PUNCT
ejpam-5673	103	43	...	...	PUNCT
ejpam-5673	103	44	,	,	PUNCT
ejpam-5673	103	45	ζ−1	ζ−1	PROPN
ejpam-5673	103	46	m	m	VERB
ejpam-5673	103	47	2	2	NUM
ejpam-5673	103	48	+	+	CCONJ
ejpam-5673	103	49	1	1	NUM
ejpam-5673	103	50	}	}	PUNCT
ejpam-5673	103	51	(	(	PUNCT
ejpam-5673	103	52	δ	δ	PROPN
ejpam-5673	103	53	−	−	PROPN
ejpam-5673	103	54	1)m−	1)m−	NUM
ejpam-5673	103	55	2ζ	2ζ	NOUN
ejpam-5673	103	56	+	+	CCONJ
ejpam-5673	103	57	3	3	NUM
ejpam-5673	103	58	for	for	ADP
ejpam-5673	103	59	δ	δ	PROPN
ejpam-5673	103	60	∈	∈	PROPN
ejpam-5673	103	61	{	{	PUNCT
ejpam-5673	103	62	ζ−1	ζ−1	PROPN
ejpam-5673	103	63	m	m	VERB
ejpam-5673	103	64	2	2	NUM
ejpam-5673	103	65	+	+	CCONJ
ejpam-5673	103	66	2	2	NUM
ejpam-5673	103	67	,	,	PUNCT
ejpam-5673	103	68	...	...	PUNCT
ejpam-5673	103	69	,	,	PUNCT
ejpam-5673	103	70	n	n	CCONJ
ejpam-5673	103	71	}	}	PUNCT
ejpam-5673	103	72	ω(yδxδ+1	ω(yδxδ+1	NUM
ejpam-5673	103	73	)	)	PUNCT
ejpam-5673	103	74	=	=	PUNCT
ejpam-5673	104	1			PROPN
ejpam-5673	104	2	m	m	VERB
ejpam-5673	104	3	2	2	NUM
ejpam-5673	104	4	for	for	ADP
ejpam-5673	104	5	δ	δ	PROPN
ejpam-5673	104	6	∈	∈	PROPN
ejpam-5673	104	7	{	{	PUNCT
ejpam-5673	104	8	1	1	NUM
ejpam-5673	104	9	,	,	PUNCT
ejpam-5673	104	10	2	2	NUM
ejpam-5673	104	11	,	,	PUNCT
ejpam-5673	104	12	3	3	NUM
ejpam-5673	104	13	,	,	PUNCT
ejpam-5673	104	14	...	...	PUNCT
ejpam-5673	104	15	,	,	PUNCT
ejpam-5673	104	16	ζ−1	ζ−1	PROPN
ejpam-5673	104	17	m	m	VERB
ejpam-5673	104	18	2	2	NUM
ejpam-5673	104	19	}	}	PUNCT
ejpam-5673	104	20	m	m	VERB
ejpam-5673	104	21	2	2	NUM
ejpam-5673	104	22	(	(	PUNCT
ejpam-5673	104	23	δ	δ	NOUN
ejpam-5673	104	24	+	+	PROPN
ejpam-5673	104	25	1	1	X
ejpam-5673	104	26	)	)	PUNCT
ejpam-5673	104	27	−	−	NOUN
ejpam-5673	104	28	ζ	ζ	NOUN
ejpam-5673	104	29	+	+	CCONJ
ejpam-5673	104	30	1	1	NUM
ejpam-5673	104	31	for	for	ADP
ejpam-5673	104	32	δ	δ	PROPN
ejpam-5673	104	33	=	=	PUNCT
ejpam-5673	105	1	ζ−1	ζ−1	PROPN
ejpam-5673	105	2	m	m	VERB
ejpam-5673	105	3	2	2	NUM
ejpam-5673	105	4	+	+	CCONJ
ejpam-5673	105	5	1	1	NUM
ejpam-5673	105	6	δm−	δm−	NUM
ejpam-5673	105	7	2ζ	2ζ	NUM
ejpam-5673	105	8	+	+	CCONJ
ejpam-5673	105	9	2	2	NUM
ejpam-5673	105	10	for	for	ADP
ejpam-5673	105	11	δ	δ	PROPN
ejpam-5673	105	12	∈	∈	PROPN
ejpam-5673	105	13	{	{	PUNCT
ejpam-5673	105	14	ζ−1	ζ−1	PROPN
ejpam-5673	105	15	m	m	VERB
ejpam-5673	105	16	2	2	NUM
ejpam-5673	105	17	+	+	CCONJ
ejpam-5673	105	18	2	2	NUM
ejpam-5673	105	19	,	,	PUNCT
ejpam-5673	105	20	...	...	PUNCT
ejpam-5673	105	21	,	,	PUNCT
ejpam-5673	105	22	n	n	CCONJ
ejpam-5673	105	23	}	}	PUNCT
ejpam-5673	105	24	h.	h.	PROPN
ejpam-5673	105	25	attiya	attiya	PROPN
ejpam-5673	105	26	,	,	PUNCT
ejpam-5673	105	27	n.	n.	PROPN
ejpam-5673	105	28	ahmed	ahmed	PROPN
ejpam-5673	105	29	,	,	PUNCT
ejpam-5673	105	30	f.	f.	PROPN
ejpam-5673	105	31	salama	salama	PROPN
ejpam-5673	105	32	/	/	SYM
ejpam-5673	105	33	eur	eur	PROPN
ejpam-5673	105	34	.	.	PUNCT
ejpam-5673	106	1	j.	j.	PROPN
ejpam-5673	106	2	pure	pure	PROPN
ejpam-5673	106	3	appl	appl	PROPN
ejpam-5673	106	4	.	.	PROPN
ejpam-5673	106	5	math	math	PROPN
ejpam-5673	106	6	,	,	PUNCT
ejpam-5673	106	7	18	18	NUM
ejpam-5673	106	8	(	(	PUNCT
ejpam-5673	106	9	2	2	NUM
ejpam-5673	106	10	)	)	PUNCT
ejpam-5673	106	11	(	(	PUNCT
ejpam-5673	106	12	2025	2025	NUM
ejpam-5673	106	13	)	)	PUNCT
ejpam-5673	106	14	,	,	PUNCT
ejpam-5673	106	15	5673	5673	NUM
ejpam-5673	106	16	6	6	NUM
ejpam-5673	106	17	of	of	ADP
ejpam-5673	106	18	11	11	NUM
ejpam-5673	106	19	ω(yδz	ω(yδz	PROPN
ejpam-5673	106	20	s	s	PROPN
ejpam-5673	106	21	δ	δ	NOUN
ejpam-5673	106	22	)	)	PUNCT
ejpam-5673	106	23	=	=	SYM
ejpam-5673	106	24			NUM
ejpam-5673	106	25	δ	δ	PROPN
ejpam-5673	107	1	+	+	X
ejpam-5673	107	2	s	s	VERB
ejpam-5673	107	3	for	for	ADP
ejpam-5673	107	4	δ	δ	PROPN
ejpam-5673	107	5	∈	∈	PROPN
ejpam-5673	107	6	{	{	PUNCT
ejpam-5673	107	7	1	1	NUM
ejpam-5673	107	8	,	,	PUNCT
ejpam-5673	107	9	2	2	NUM
ejpam-5673	107	10	,	,	PUNCT
ejpam-5673	107	11	3	3	NUM
ejpam-5673	107	12	,	,	PUNCT
ejpam-5673	107	13	...	...	PUNCT
ejpam-5673	107	14	,	,	PUNCT
ejpam-5673	107	15	ζ−1	ζ−1	PROPN
ejpam-5673	107	16	m	m	VERB
ejpam-5673	107	17	2	2	NUM
ejpam-5673	107	18	+	+	CCONJ
ejpam-5673	107	19	1	1	NUM
ejpam-5673	107	20	}	}	PUNCT
ejpam-5673	107	21	m	m	VERB
ejpam-5673	107	22	2	2	NUM
ejpam-5673	107	23	(	(	PUNCT
ejpam-5673	107	24	δ	δ	NOUN
ejpam-5673	107	25	−	−	PROPN
ejpam-5673	107	26	1	1	NUM
ejpam-5673	107	27	)	)	PUNCT
ejpam-5673	107	28	−	−	PROPN
ejpam-5673	107	29	ζ	ζ	NOUN
ejpam-5673	107	30	+	+	NOUN
ejpam-5673	107	31	δ	δ	X
ejpam-5673	107	32	+	+	SYM
ejpam-5673	107	33	s	s	PART
ejpam-5673	107	34	+	+	ADJ
ejpam-5673	107	35	1	1	NUM
ejpam-5673	107	36	for	for	ADP
ejpam-5673	107	37			PRON
ejpam-5673	107	38	δ	δ	X
ejpam-5673	108	1	=	=	PUNCT
ejpam-5673	109	1	ζ−1	ζ−1	PROPN
ejpam-5673	109	2	m	m	VERB
ejpam-5673	109	3	2	2	NUM
ejpam-5673	109	4	+	+	CCONJ
ejpam-5673	109	5	2	2	NUM
ejpam-5673	109	6	s	s	NOUN
ejpam-5673	109	7	=	=	PUNCT
ejpam-5673	109	8	{	{	PUNCT
ejpam-5673	109	9	1	1	NUM
ejpam-5673	109	10	,	,	PUNCT
ejpam-5673	109	11	2	2	NUM
ejpam-5673	109	12	,	,	PUNCT
ejpam-5673	109	13	3	3	NUM
ejpam-5673	109	14	,	,	PUNCT
ejpam-5673	109	15	...	...	PUNCT
ejpam-5673	109	16	,	,	PUNCT
ejpam-5673	109	17	ζ	ζ	NOUN
ejpam-5673	109	18	−	−	PROPN
ejpam-5673	109	19	(	(	PUNCT
ejpam-5673	109	20	m2	m2	PROPN
ejpam-5673	109	21	−	−	PROPN
ejpam-5673	109	22	1)(δ	1)(δ	NUM
ejpam-5673	110	1	−	−	NOUN
ejpam-5673	110	2	1	1	NUM
ejpam-5673	110	3	)	)	PUNCT
ejpam-5673	110	4	}	}	PUNCT
ejpam-5673	110	5	(	(	PUNCT
ejpam-5673	110	6	δ	δ	PROPN
ejpam-5673	110	7	−	−	PROPN
ejpam-5673	110	8	1)m−	1)m−	NUM
ejpam-5673	110	9	2ζ	2ζ	NOUN
ejpam-5673	111	1	+	+	CCONJ
ejpam-5673	111	2	2s	2s	NUM
ejpam-5673	111	3	+	+	SYM
ejpam-5673	111	4	2	2	NUM
ejpam-5673	111	5	for	for	ADP
ejpam-5673	111	6			PRON
ejpam-5673	111	7	δ	δ	X
ejpam-5673	111	8	=	=	PUNCT
ejpam-5673	112	1	ζ−1	ζ−1	PROPN
ejpam-5673	112	2	m	m	VERB
ejpam-5673	112	3	2	2	NUM
ejpam-5673	112	4	+	+	CCONJ
ejpam-5673	112	5	2	2	NUM
ejpam-5673	112	6	s	s	NOUN
ejpam-5673	112	7	=	=	PUNCT
ejpam-5673	112	8	{	{	PUNCT
ejpam-5673	112	9	ζ	ζ	NOUN
ejpam-5673	112	10	−	−	PROPN
ejpam-5673	112	11	(	(	PUNCT
ejpam-5673	112	12	m2	m2	PROPN
ejpam-5673	112	13	−	−	PROPN
ejpam-5673	112	14	1)(δ	1)(δ	NUM
ejpam-5673	113	1	−	−	NOUN
ejpam-5673	113	2	1	1	NUM
ejpam-5673	113	3	)	)	PUNCT
ejpam-5673	113	4	+	+	NUM
ejpam-5673	113	5	1	1	NUM
ejpam-5673	113	6	,	,	PUNCT
ejpam-5673	113	7	...	...	PUNCT
ejpam-5673	113	8	,	,	PUNCT
ejpam-5673	113	9	m2	m2	PROPN
ejpam-5673	113	10	−	−	PROPN
ejpam-5673	113	11	1	1	NUM
ejpam-5673	113	12	}	}	PUNCT
ejpam-5673	113	13	(	(	PUNCT
ejpam-5673	113	14	δ	δ	PROPN
ejpam-5673	113	15	−	−	PROPN
ejpam-5673	113	16	1)m−	1)m−	NUM
ejpam-5673	113	17	2ζ	2ζ	NOUN
ejpam-5673	114	1	+	+	CCONJ
ejpam-5673	114	2	2s	2s	NUM
ejpam-5673	114	3	+	+	SYM
ejpam-5673	114	4	2	2	NUM
ejpam-5673	114	5	for	for	ADP
ejpam-5673	114	6	δ	δ	PROPN
ejpam-5673	114	7	∈	∈	PROPN
ejpam-5673	114	8	{	{	PUNCT
ejpam-5673	114	9	ζ−1	ζ−1	PROPN
ejpam-5673	114	10	m	m	PROPN
ejpam-5673	114	11	2	2	NUM
ejpam-5673	114	12	+	+	CCONJ
ejpam-5673	114	13	3	3	NUM
ejpam-5673	114	14	,	,	PUNCT
ejpam-5673	114	15	...	...	PUNCT
ejpam-5673	114	16	,	,	PUNCT
ejpam-5673	114	17	n	n	CCONJ
ejpam-5673	114	18	}	}	PUNCT
ejpam-5673	114	19	ω(yδh	ω(yδh	X
ejpam-5673	114	20	s	s	PROPN
ejpam-5673	114	21	δ	δ	NOUN
ejpam-5673	114	22	)	)	PUNCT
ejpam-5673	114	23	=	=	SYM
ejpam-5673	115	1			NUM
ejpam-5673	115	2	δ	δ	PROPN
ejpam-5673	115	3	+	+	SYM
ejpam-5673	115	4	s	s	PART
ejpam-5673	115	5	+	+	ADJ
ejpam-5673	115	6	1	1	NUM
ejpam-5673	115	7	for	for	ADP
ejpam-5673	115	8	δ	δ	PROPN
ejpam-5673	115	9	∈	∈	PROPN
ejpam-5673	115	10	{	{	PUNCT
ejpam-5673	115	11	1	1	NUM
ejpam-5673	115	12	,	,	PUNCT
ejpam-5673	115	13	2	2	NUM
ejpam-5673	115	14	,	,	PUNCT
ejpam-5673	115	15	3	3	NUM
ejpam-5673	115	16	,	,	PUNCT
ejpam-5673	115	17	...	...	PUNCT
ejpam-5673	115	18	,	,	PUNCT
ejpam-5673	115	19	ζ−1	ζ−1	PROPN
ejpam-5673	115	20	m	m	VERB
ejpam-5673	115	21	2	2	NUM
ejpam-5673	115	22	+	+	CCONJ
ejpam-5673	115	23	1	1	NUM
ejpam-5673	115	24	}	}	PUNCT
ejpam-5673	115	25	m	m	VERB
ejpam-5673	115	26	2	2	NUM
ejpam-5673	115	27	(	(	PUNCT
ejpam-5673	115	28	δ	δ	NOUN
ejpam-5673	115	29	−	−	PROPN
ejpam-5673	115	30	1	1	NUM
ejpam-5673	115	31	)	)	PUNCT
ejpam-5673	115	32	−	−	PROPN
ejpam-5673	116	1	ζ	ζ	NOUN
ejpam-5673	116	2	+	+	NOUN
ejpam-5673	116	3	δ	δ	X
ejpam-5673	116	4	+	+	SYM
ejpam-5673	116	5	s	s	PART
ejpam-5673	116	6	+	+	X
ejpam-5673	116	7	2	2	NUM
ejpam-5673	116	8	for	for	ADP
ejpam-5673	116	9			PRON
ejpam-5673	116	10	δ	δ	X
ejpam-5673	116	11	=	=	PUNCT
ejpam-5673	116	12	ζ−1	ζ−1	PROPN
ejpam-5673	116	13	m	m	VERB
ejpam-5673	116	14	2	2	NUM
ejpam-5673	116	15	+	+	CCONJ
ejpam-5673	116	16	2	2	NUM
ejpam-5673	116	17	s	s	NOUN
ejpam-5673	116	18	=	=	PUNCT
ejpam-5673	116	19	{	{	PUNCT
ejpam-5673	116	20	1	1	NUM
ejpam-5673	116	21	,	,	PUNCT
ejpam-5673	116	22	2	2	NUM
ejpam-5673	116	23	,	,	PUNCT
ejpam-5673	116	24	3	3	NUM
ejpam-5673	116	25	,	,	PUNCT
ejpam-5673	116	26	...	...	PUNCT
ejpam-5673	116	27	,	,	PUNCT
ejpam-5673	116	28	ζ	ζ	NOUN
ejpam-5673	116	29	−	−	PROPN
ejpam-5673	116	30	(	(	PUNCT
ejpam-5673	116	31	m2	m2	PROPN
ejpam-5673	116	32	−	−	PROPN
ejpam-5673	116	33	1)(δ	1)(δ	NUM
ejpam-5673	116	34	−	−	NOUN
ejpam-5673	116	35	1	1	NUM
ejpam-5673	116	36	)	)	PUNCT
ejpam-5673	116	37	}	}	PUNCT
ejpam-5673	116	38	(	(	PUNCT
ejpam-5673	116	39	δ	δ	PROPN
ejpam-5673	116	40	−	−	PROPN
ejpam-5673	116	41	1)m−	1)m−	NUM
ejpam-5673	116	42	2ζ	2ζ	NOUN
ejpam-5673	117	1	+	+	CCONJ
ejpam-5673	117	2	2s	2s	NUM
ejpam-5673	117	3	+	+	SYM
ejpam-5673	117	4	3	3	NUM
ejpam-5673	117	5	for	for	ADP
ejpam-5673	117	6			PRON
ejpam-5673	117	7	δ	δ	X
ejpam-5673	117	8	=	=	PUNCT
ejpam-5673	118	1	ζ−1	ζ−1	PROPN
ejpam-5673	118	2	m	m	VERB
ejpam-5673	118	3	2	2	NUM
ejpam-5673	118	4	+	+	CCONJ
ejpam-5673	118	5	2	2	NUM
ejpam-5673	118	6	s	s	NOUN
ejpam-5673	118	7	=	=	PUNCT
ejpam-5673	118	8	{	{	PUNCT
ejpam-5673	118	9	ζ	ζ	NOUN
ejpam-5673	118	10	−	−	PROPN
ejpam-5673	118	11	(	(	PUNCT
ejpam-5673	118	12	m2	m2	PROPN
ejpam-5673	118	13	−	−	PROPN
ejpam-5673	118	14	1)(δ	1)(δ	NUM
ejpam-5673	119	1	−	−	NOUN
ejpam-5673	119	2	1	1	NUM
ejpam-5673	119	3	)	)	PUNCT
ejpam-5673	119	4	+	+	NUM
ejpam-5673	119	5	1	1	NUM
ejpam-5673	119	6	,	,	PUNCT
ejpam-5673	119	7	...	...	PUNCT
ejpam-5673	119	8	,	,	PUNCT
ejpam-5673	119	9	m2	m2	PROPN
ejpam-5673	119	10	−	−	PROPN
ejpam-5673	119	11	1	1	NUM
ejpam-5673	119	12	}	}	PUNCT
ejpam-5673	119	13	(	(	PUNCT
ejpam-5673	119	14	δ	δ	PROPN
ejpam-5673	119	15	−	−	PROPN
ejpam-5673	119	16	1)m−	1)m−	NUM
ejpam-5673	119	17	2ζ	2ζ	NOUN
ejpam-5673	119	18	+	+	CCONJ
ejpam-5673	119	19	2s	2s	NUM
ejpam-5673	120	1	+	+	SYM
ejpam-5673	120	2	3	3	NUM
ejpam-5673	120	3	for	for	ADP
ejpam-5673	120	4	δ	δ	PROPN
ejpam-5673	120	5	∈	∈	PROPN
ejpam-5673	120	6	{	{	PUNCT
ejpam-5673	120	7	ζ−1	ζ−1	PROPN
ejpam-5673	120	8	m	m	PROPN
ejpam-5673	120	9	2	2	NUM
ejpam-5673	120	10	+	+	CCONJ
ejpam-5673	120	11	3	3	NUM
ejpam-5673	120	12	,	,	PUNCT
ejpam-5673	120	13	...	...	PUNCT
ejpam-5673	120	14	,	,	PUNCT
ejpam-5673	120	15	n	n	CCONJ
ejpam-5673	120	16	}	}	PUNCT
ejpam-5673	120	17	from	from	ADP
ejpam-5673	120	18	the	the	DET
ejpam-5673	120	19	previous	previous	ADJ
ejpam-5673	120	20	equations	equation	NOUN
ejpam-5673	120	21	,	,	PUNCT
ejpam-5673	120	22	we	we	PRON
ejpam-5673	120	23	can	can	AUX
ejpam-5673	120	24	say	say	VERB
ejpam-5673	120	25	ζ	ζ	NOUN
ejpam-5673	120	26	is	be	AUX
ejpam-5673	120	27	the	the	DET
ejpam-5673	120	28	maximum	maximum	ADJ
ejpam-5673	120	29	number	number	NOUN
ejpam-5673	120	30	which	which	PRON
ejpam-5673	120	31	labels	label	VERB
ejpam-5673	120	32	vertices	vertice	VERB
ejpam-5673	120	33	and	and	CCONJ
ejpam-5673	120	34	edges	edge	NOUN
ejpam-5673	120	35	.	.	PUNCT
ejpam-5673	121	1	the	the	DET
ejpam-5673	121	2	edges	edge	NOUN
ejpam-5673	121	3	’	'	PUNCT
ejpam-5673	121	4	weights	weight	NOUN
ejpam-5673	121	5	of	of	ADP
ejpam-5673	121	6	psm	psm	NOUN
ejpam-5673	121	7	,	,	PUNCT
ejpam-5673	121	8	n	n	PRON
ejpam-5673	121	9	are	be	AUX
ejpam-5673	121	10	given	give	VERB
ejpam-5673	121	11	by	by	ADP
ejpam-5673	121	12	:	:	PUNCT
ejpam-5673	121	13	wω(xδyδ	wω(xδyδ	PROPN
ejpam-5673	121	14	)	)	PUNCT
ejpam-5673	121	15	=	=	SYM
ejpam-5673	121	16	(	(	PUNCT
ejpam-5673	121	17	δ	δ	PROPN
ejpam-5673	122	1	−	−	PROPN
ejpam-5673	122	2	1)m	1)m	PROPN
ejpam-5673	123	1	+	+	CCONJ
ejpam-5673	123	2	3	3	NUM
ejpam-5673	123	3	wω(yδxδ+1	wω(yδxδ+1	PROPN
ejpam-5673	123	4	)	)	PUNCT
ejpam-5673	124	1	=	=	PUNCT
ejpam-5673	124	2	mδ	mδ	PROPN
ejpam-5673	125	1	+	+	NOUN
ejpam-5673	125	2	2	2	NUM
ejpam-5673	125	3	wω(yδz	wω(yδz	PROPN
ejpam-5673	125	4	s	s	PROPN
ejpam-5673	125	5	δ	δ	PROPN
ejpam-5673	125	6	)	)	PUNCT
ejpam-5673	125	7	=	=	PUNCT
ejpam-5673	125	8	(	(	PUNCT
ejpam-5673	125	9	δ	δ	PROPN
ejpam-5673	125	10	−	−	PROPN
ejpam-5673	125	11	1)m	1)m	PROPN
ejpam-5673	126	1	+	+	CCONJ
ejpam-5673	126	2	2(s	2(s	NUM
ejpam-5673	126	3	+	+	CCONJ
ejpam-5673	126	4	1	1	X
ejpam-5673	126	5	)	)	PUNCT
ejpam-5673	126	6	wω(yδh	wω(yδh	NOUN
ejpam-5673	126	7	s	s	NOUN
ejpam-5673	126	8	δ	δ	NOUN
ejpam-5673	126	9	)	)	PUNCT
ejpam-5673	126	10	=	=	PUNCT
ejpam-5673	126	11	(	(	PUNCT
ejpam-5673	126	12	δ	δ	PROPN
ejpam-5673	126	13	−	−	PROPN
ejpam-5673	126	14	1)m	1)m	PROPN
ejpam-5673	127	1	+	+	CCONJ
ejpam-5673	127	2	2s	2s	NUM
ejpam-5673	127	3	+	+	NOUN
ejpam-5673	127	4	3	3	NUM
ejpam-5673	127	5	we	we	PRON
ejpam-5673	127	6	can	can	AUX
ejpam-5673	127	7	say	say	VERB
ejpam-5673	127	8	that	that	SCONJ
ejpam-5673	127	9	from	from	ADP
ejpam-5673	127	10	the	the	DET
ejpam-5673	127	11	previous	previous	ADJ
ejpam-5673	127	12	equations	equation	NOUN
ejpam-5673	127	13	,	,	PUNCT
ejpam-5673	127	14	the	the	DET
ejpam-5673	127	15	weights	weight	NOUN
ejpam-5673	127	16	are	be	AUX
ejpam-5673	127	17	distinct	distinct	ADJ
ejpam-5673	127	18	for	for	ADP
ejpam-5673	127	19	any	any	DET
ejpam-5673	127	20	two	two	NUM
ejpam-5673	127	21	edges	edge	NOUN
ejpam-5673	127	22	.	.	PUNCT
ejpam-5673	128	1	so	so	ADV
ejpam-5673	128	2	tes(psm	tes(psm	PROPN
ejpam-5673	128	3	,	,	PUNCT
ejpam-5673	128	4	n	n	CCONJ
ejpam-5673	128	5	)	)	PUNCT
ejpam-5673	128	6	=	=	SYM
ejpam-5673	128	7	mn	mn	PROPN
ejpam-5673	129	1	+	+	CCONJ
ejpam-5673	129	2	2	2	NUM
ejpam-5673	129	3	3	3	NUM
ejpam-5673	129	4	case	case	NOUN
ejpam-5673	129	5	2	2	NUM
ejpam-5673	129	6	:	:	PUNCT
ejpam-5673	129	7	m	m	VERB
ejpam-5673	129	8	is	be	AUX
ejpam-5673	129	9	odd	odd	ADJ
ejpam-5673	129	10	,	,	PUNCT
ejpam-5673	129	11	ω	ω	PROPN
ejpam-5673	129	12	is	be	AUX
ejpam-5673	129	13	defined	define	VERB
ejpam-5673	129	14	as	as	ADP
ejpam-5673	129	15	:	:	PUNCT
ejpam-5673	129	16	ω(xδ	ω(xδ	NUM
ejpam-5673	129	17	)	)	PUNCT
ejpam-5673	129	18	=	=	PUNCT
ejpam-5673	130	1			PROPN
ejpam-5673	130	2	m	m	VERB
ejpam-5673	130	3	2	2	NUM
ejpam-5673	130	4	(	(	PUNCT
ejpam-5673	130	5	δ	δ	NOUN
ejpam-5673	130	6	−	−	PROPN
ejpam-5673	130	7	1	1	NUM
ejpam-5673	130	8	)	)	PUNCT
ejpam-5673	130	9	+	+	CCONJ
ejpam-5673	130	10	1	1	NUM
ejpam-5673	130	11	for	for	ADP
ejpam-5673	130	12	δ	δ	PROPN
ejpam-5673	130	13	∈	∈	PROPN
ejpam-5673	130	14	{	{	PUNCT
ejpam-5673	130	15	1	1	NUM
ejpam-5673	130	16	,	,	PUNCT
ejpam-5673	130	17	2	2	NUM
ejpam-5673	130	18	,	,	PUNCT
ejpam-5673	130	19	3	3	NUM
ejpam-5673	130	20	,	,	PUNCT
ejpam-5673	130	21	...	...	PUNCT
ejpam-5673	130	22	,	,	PUNCT
ejpam-5673	130	23	ζ−1	ζ−1	PROPN
ejpam-5673	130	24	m	m	VERB
ejpam-5673	130	25	2	2	NUM
ejpam-5673	130	26	+	+	CCONJ
ejpam-5673	130	27	1	1	NUM
ejpam-5673	130	28	}	}	PUNCT
ejpam-5673	130	29	ζ	ζ	NOUN
ejpam-5673	130	30	for	for	ADP
ejpam-5673	130	31	δ	δ	PROPN
ejpam-5673	130	32	∈	∈	PROPN
ejpam-5673	130	33	{	{	PUNCT
ejpam-5673	130	34	ζ−1	ζ−1	PROPN
ejpam-5673	130	35	m	m	VERB
ejpam-5673	130	36	2	2	NUM
ejpam-5673	130	37	+	+	CCONJ
ejpam-5673	130	38	2	2	NUM
ejpam-5673	130	39	,	,	PUNCT
ejpam-5673	130	40	...	...	PUNCT
ejpam-5673	130	41	,	,	PUNCT
ejpam-5673	130	42	n	n	CCONJ
ejpam-5673	130	43	}	}	PUNCT
ejpam-5673	130	44	ω(yδ	ω(yδ	NUM
ejpam-5673	130	45	)	)	PUNCT
ejpam-5673	130	46	=	=	PUNCT
ejpam-5673	131	1			PROPN
ejpam-5673	131	2	m	m	VERB
ejpam-5673	131	3	2	2	NUM
ejpam-5673	131	4	(	(	PUNCT
ejpam-5673	131	5	δ	δ	NOUN
ejpam-5673	131	6	−	−	PROPN
ejpam-5673	131	7	1	1	NUM
ejpam-5673	131	8	)	)	PUNCT
ejpam-5673	131	9	+	+	CCONJ
ejpam-5673	131	10	1	1	NUM
ejpam-5673	131	11	for	for	ADP
ejpam-5673	131	12	δ	δ	PROPN
ejpam-5673	131	13	∈	∈	PROPN
ejpam-5673	131	14	{	{	PUNCT
ejpam-5673	131	15	1	1	NUM
ejpam-5673	131	16	,	,	PUNCT
ejpam-5673	131	17	2	2	NUM
ejpam-5673	131	18	,	,	PUNCT
ejpam-5673	131	19	3	3	NUM
ejpam-5673	131	20	,	,	PUNCT
ejpam-5673	131	21	...	...	PUNCT
ejpam-5673	131	22	,	,	PUNCT
ejpam-5673	131	23	ζ−1	ζ−1	PROPN
ejpam-5673	131	24	m	m	VERB
ejpam-5673	131	25	2	2	NUM
ejpam-5673	131	26	+	+	CCONJ
ejpam-5673	131	27	1	1	NUM
ejpam-5673	131	28	}	}	PUNCT
ejpam-5673	131	29	ζ	ζ	NOUN
ejpam-5673	131	30	for	for	ADP
ejpam-5673	131	31	δ	δ	PROPN
ejpam-5673	131	32	∈	∈	PROPN
ejpam-5673	131	33	{	{	PUNCT
ejpam-5673	131	34	ζ−1	ζ−1	PROPN
ejpam-5673	131	35	m	m	VERB
ejpam-5673	131	36	2	2	NUM
ejpam-5673	131	37	+	+	CCONJ
ejpam-5673	131	38	2	2	NUM
ejpam-5673	131	39	,	,	PUNCT
ejpam-5673	131	40	...	...	PUNCT
ejpam-5673	131	41	,	,	PUNCT
ejpam-5673	131	42	n	n	PROPN
ejpam-5673	131	43	+	+	CCONJ
ejpam-5673	131	44	1	1	NUM
ejpam-5673	131	45	}	}	PUNCT
ejpam-5673	131	46	h.	h.	PROPN
ejpam-5673	131	47	attiya	attiya	PROPN
ejpam-5673	131	48	,	,	PUNCT
ejpam-5673	131	49	n.	n.	PROPN
ejpam-5673	131	50	ahmed	ahmed	PROPN
ejpam-5673	131	51	,	,	PUNCT
ejpam-5673	131	52	f.	f.	PROPN
ejpam-5673	131	53	salama	salama	PROPN
ejpam-5673	131	54	/	/	SYM
ejpam-5673	131	55	eur	eur	PROPN
ejpam-5673	131	56	.	.	PUNCT
ejpam-5673	132	1	j.	j.	PROPN
ejpam-5673	132	2	pure	pure	PROPN
ejpam-5673	132	3	appl	appl	PROPN
ejpam-5673	132	4	.	.	PROPN
ejpam-5673	132	5	math	math	PROPN
ejpam-5673	132	6	,	,	PUNCT
ejpam-5673	132	7	18	18	NUM
ejpam-5673	132	8	(	(	PUNCT
ejpam-5673	132	9	2	2	NUM
ejpam-5673	132	10	)	)	PUNCT
ejpam-5673	132	11	(	(	PUNCT
ejpam-5673	132	12	2025	2025	NUM
ejpam-5673	132	13	)	)	PUNCT
ejpam-5673	132	14	,	,	PUNCT
ejpam-5673	132	15	5673	5673	NUM
ejpam-5673	132	16	7	7	NUM
ejpam-5673	132	17	of	of	ADP
ejpam-5673	132	18	11	11	NUM
ejpam-5673	132	19	ω(zsδ	ω(zsδ	NOUN
ejpam-5673	132	20	)	)	PUNCT
ejpam-5673	132	21	=	=	NUM
ejpam-5673	132	22			NUM
ejpam-5673	132	23	m	m	VERB
ejpam-5673	132	24	2	2	NUM
ejpam-5673	132	25	(	(	PUNCT
ejpam-5673	132	26	δ	δ	NOUN
ejpam-5673	132	27	−	−	PROPN
ejpam-5673	132	28	1	1	NUM
ejpam-5673	132	29	)	)	PUNCT
ejpam-5673	133	1	+	+	PRON
ejpam-5673	133	2	s	s	VERB
ejpam-5673	133	3	for	for	ADP
ejpam-5673	133	4	δ	δ	PROPN
ejpam-5673	133	5	∈	∈	PROPN
ejpam-5673	133	6	{	{	PUNCT
ejpam-5673	133	7	1	1	NUM
ejpam-5673	133	8	,	,	PUNCT
ejpam-5673	133	9	2	2	NUM
ejpam-5673	133	10	,	,	PUNCT
ejpam-5673	133	11	3	3	NUM
ejpam-5673	133	12	,	,	PUNCT
ejpam-5673	133	13	...	...	PUNCT
ejpam-5673	133	14	,	,	PUNCT
ejpam-5673	133	15	ζ−1	ζ−1	PROPN
ejpam-5673	133	16	m	m	VERB
ejpam-5673	133	17	2	2	NUM
ejpam-5673	133	18	}	}	PUNCT
ejpam-5673	133	19	m	m	VERB
ejpam-5673	133	20	2	2	NUM
ejpam-5673	133	21	(	(	PUNCT
ejpam-5673	133	22	δ	δ	NOUN
ejpam-5673	133	23	−	−	PROPN
ejpam-5673	133	24	1	1	NUM
ejpam-5673	133	25	)	)	PUNCT
ejpam-5673	133	26	+	+	PRON
ejpam-5673	133	27	s	s	VERB
ejpam-5673	133	28	for	for	ADP
ejpam-5673	133	29			PRON
ejpam-5673	133	30	δ	δ	X
ejpam-5673	133	31	=	=	PUNCT
ejpam-5673	134	1	ζ−1	ζ−1	PROPN
ejpam-5673	134	2	m	m	VERB
ejpam-5673	134	3	2	2	NUM
ejpam-5673	134	4	+	+	CCONJ
ejpam-5673	134	5	1	1	NUM
ejpam-5673	134	6	s	s	NOUN
ejpam-5673	134	7	=	=	PUNCT
ejpam-5673	134	8	{	{	PUNCT
ejpam-5673	134	9	1	1	NUM
ejpam-5673	134	10	,	,	PUNCT
ejpam-5673	134	11	2	2	NUM
ejpam-5673	134	12	,	,	PUNCT
ejpam-5673	134	13	3	3	NUM
ejpam-5673	134	14	,	,	PUNCT
ejpam-5673	134	15	...	...	PUNCT
ejpam-5673	134	16	,	,	PUNCT
ejpam-5673	134	17	ζ	ζ	NOUN
ejpam-5673	134	18	−	−	PROPN
ejpam-5673	134	19	m	m	NOUN
ejpam-5673	134	20	2	2	NUM
ejpam-5673	134	21	(	(	PUNCT
ejpam-5673	134	22	δ	δ	NOUN
ejpam-5673	134	23	−	−	PROPN
ejpam-5673	134	24	1	1	NUM
ejpam-5673	134	25	)	)	PUNCT
ejpam-5673	134	26	}	}	PUNCT
ejpam-5673	134	27	ζ	ζ	NOUN
ejpam-5673	134	28	for	for	ADP
ejpam-5673	134	29			PRON
ejpam-5673	134	30	δ	δ	X
ejpam-5673	135	1	=	=	PUNCT
ejpam-5673	136	1	ζ−1	ζ−1	PROPN
ejpam-5673	136	2	m	m	VERB
ejpam-5673	136	3	2	2	NUM
ejpam-5673	136	4	+	+	CCONJ
ejpam-5673	136	5	1	1	NUM
ejpam-5673	136	6	s	s	NOUN
ejpam-5673	136	7	=	=	PUNCT
ejpam-5673	136	8	{	{	PUNCT
ejpam-5673	136	9	ζ	ζ	NOUN
ejpam-5673	136	10	−	−	PROPN
ejpam-5673	136	11	m	m	NOUN
ejpam-5673	136	12	2	2	NUM
ejpam-5673	136	13	(	(	PUNCT
ejpam-5673	136	14	δ	δ	NOUN
ejpam-5673	136	15	−	−	PROPN
ejpam-5673	136	16	1	1	NUM
ejpam-5673	136	17	)	)	PUNCT
ejpam-5673	136	18	+	+	NUM
ejpam-5673	136	19	1	1	NUM
ejpam-5673	136	20	,	,	PUNCT
ejpam-5673	136	21	...	...	PUNCT
ejpam-5673	136	22	,	,	PUNCT
ejpam-5673	136	23	m2	m2	PROPN
ejpam-5673	136	24	}	}	PUNCT
ejpam-5673	136	25	ζ	ζ	NOUN
ejpam-5673	136	26	for	for	ADP
ejpam-5673	136	27	δ	δ	PROPN
ejpam-5673	136	28	∈	∈	PROPN
ejpam-5673	136	29	{	{	PUNCT
ejpam-5673	136	30	ζ−1	ζ−1	PROPN
ejpam-5673	136	31	m	m	VERB
ejpam-5673	136	32	2	2	NUM
ejpam-5673	136	33	+	+	CCONJ
ejpam-5673	136	34	2	2	NUM
ejpam-5673	136	35	,	,	PUNCT
ejpam-5673	136	36	...	...	PUNCT
ejpam-5673	136	37	,	,	PUNCT
ejpam-5673	136	38	n	n	CCONJ
ejpam-5673	136	39	}	}	PUNCT
ejpam-5673	136	40	ω(hsδ	ω(hsδ	NUM
ejpam-5673	136	41	)	)	PUNCT
ejpam-5673	136	42	=	=	SYM
ejpam-5673	136	43			NUM
ejpam-5673	136	44	m	m	VERB
ejpam-5673	136	45	2	2	NUM
ejpam-5673	136	46	(	(	PUNCT
ejpam-5673	136	47	δ	δ	NOUN
ejpam-5673	136	48	−	−	PROPN
ejpam-5673	136	49	1	1	NUM
ejpam-5673	136	50	)	)	PUNCT
ejpam-5673	136	51	+	+	PRON
ejpam-5673	136	52	s	s	VERB
ejpam-5673	136	53	for	for	ADP
ejpam-5673	136	54	δ	δ	PROPN
ejpam-5673	136	55	∈	∈	PROPN
ejpam-5673	136	56	{	{	PUNCT
ejpam-5673	136	57	1	1	NUM
ejpam-5673	136	58	,	,	PUNCT
ejpam-5673	136	59	2	2	NUM
ejpam-5673	136	60	,	,	PUNCT
ejpam-5673	136	61	3	3	NUM
ejpam-5673	136	62	,	,	PUNCT
ejpam-5673	136	63	...	...	PUNCT
ejpam-5673	136	64	,	,	PUNCT
ejpam-5673	136	65	ζ−1	ζ−1	PROPN
ejpam-5673	136	66	m	m	VERB
ejpam-5673	136	67	2	2	NUM
ejpam-5673	136	68	}	}	PUNCT
ejpam-5673	136	69	m	m	VERB
ejpam-5673	136	70	2	2	NUM
ejpam-5673	136	71	(	(	PUNCT
ejpam-5673	136	72	δ	δ	NOUN
ejpam-5673	136	73	−	−	PROPN
ejpam-5673	136	74	1	1	NUM
ejpam-5673	136	75	)	)	PUNCT
ejpam-5673	136	76	+	+	PRON
ejpam-5673	136	77	s	s	VERB
ejpam-5673	136	78	for	for	ADP
ejpam-5673	136	79			PRON
ejpam-5673	136	80	δ	δ	X
ejpam-5673	136	81	=	=	PUNCT
ejpam-5673	137	1	ζ−1	ζ−1	PROPN
ejpam-5673	137	2	m	m	VERB
ejpam-5673	137	3	2	2	NUM
ejpam-5673	137	4	+	+	CCONJ
ejpam-5673	137	5	1	1	NUM
ejpam-5673	137	6	s	s	NOUN
ejpam-5673	137	7	=	=	PUNCT
ejpam-5673	137	8	{	{	PUNCT
ejpam-5673	137	9	1	1	NUM
ejpam-5673	137	10	,	,	PUNCT
ejpam-5673	137	11	2	2	NUM
ejpam-5673	137	12	,	,	PUNCT
ejpam-5673	137	13	3	3	NUM
ejpam-5673	137	14	,	,	PUNCT
ejpam-5673	137	15	...	...	PUNCT
ejpam-5673	137	16	,	,	PUNCT
ejpam-5673	137	17	ζ	ζ	NOUN
ejpam-5673	137	18	−	−	PROPN
ejpam-5673	137	19	m	m	NOUN
ejpam-5673	137	20	2	2	NUM
ejpam-5673	137	21	(	(	PUNCT
ejpam-5673	137	22	δ	δ	NOUN
ejpam-5673	137	23	−	−	PROPN
ejpam-5673	137	24	1	1	NUM
ejpam-5673	137	25	)	)	PUNCT
ejpam-5673	137	26	}	}	PUNCT
ejpam-5673	137	27	ζ	ζ	NOUN
ejpam-5673	137	28	for	for	ADP
ejpam-5673	137	29			PRON
ejpam-5673	137	30	δ	δ	X
ejpam-5673	138	1	=	=	PUNCT
ejpam-5673	139	1	ζ−1	ζ−1	PROPN
ejpam-5673	139	2	m	m	VERB
ejpam-5673	139	3	2	2	NUM
ejpam-5673	139	4	+	+	CCONJ
ejpam-5673	139	5	1	1	NUM
ejpam-5673	139	6	s	s	NOUN
ejpam-5673	139	7	=	=	PUNCT
ejpam-5673	139	8	{	{	PUNCT
ejpam-5673	139	9	ζ	ζ	NOUN
ejpam-5673	139	10	−	−	PROPN
ejpam-5673	139	11	m	m	NOUN
ejpam-5673	139	12	2	2	NUM
ejpam-5673	139	13	(	(	PUNCT
ejpam-5673	139	14	δ	δ	NOUN
ejpam-5673	139	15	−	−	PROPN
ejpam-5673	139	16	1	1	NUM
ejpam-5673	139	17	)	)	PUNCT
ejpam-5673	139	18	,	,	PUNCT
ejpam-5673	139	19	...	...	PUNCT
ejpam-5673	139	20	,	,	PUNCT
ejpam-5673	139	21	m2	m2	PROPN
ejpam-5673	139	22	}	}	PUNCT
ejpam-5673	139	23	ζ	ζ	NOUN
ejpam-5673	139	24	for	for	ADP
ejpam-5673	139	25	δ	δ	PROPN
ejpam-5673	139	26	∈	∈	PROPN
ejpam-5673	139	27	{	{	PUNCT
ejpam-5673	139	28	ζ−1	ζ−1	PROPN
ejpam-5673	139	29	m	m	VERB
ejpam-5673	139	30	2	2	NUM
ejpam-5673	139	31	+	+	CCONJ
ejpam-5673	139	32	2	2	NUM
ejpam-5673	139	33	,	,	PUNCT
ejpam-5673	139	34	...	...	PUNCT
ejpam-5673	139	35	,	,	PUNCT
ejpam-5673	139	36	n	n	CCONJ
ejpam-5673	139	37	}	}	PUNCT
ejpam-5673	139	38	ω(xδyδ	ω(xδyδ	PROPN
ejpam-5673	139	39	)	)	PUNCT
ejpam-5673	139	40	=	=	PUNCT
ejpam-5673	139	41			PUNCT
ejpam-5673	139	42	δ	δ	PROPN
ejpam-5673	139	43	for	for	ADP
ejpam-5673	139	44	δ	δ	PROPN
ejpam-5673	139	45	∈	∈	PROPN
ejpam-5673	139	46	{	{	PUNCT
ejpam-5673	139	47	1	1	NUM
ejpam-5673	139	48	,	,	PUNCT
ejpam-5673	139	49	2	2	NUM
ejpam-5673	139	50	,	,	PUNCT
ejpam-5673	139	51	3	3	NUM
ejpam-5673	139	52	,	,	PUNCT
ejpam-5673	139	53	...	...	PUNCT
ejpam-5673	139	54	,	,	PUNCT
ejpam-5673	139	55	ζ−1	ζ−1	PROPN
ejpam-5673	139	56	m	m	VERB
ejpam-5673	139	57	2	2	NUM
ejpam-5673	139	58	+	+	CCONJ
ejpam-5673	139	59	1	1	NUM
ejpam-5673	139	60	}	}	PUNCT
ejpam-5673	139	61	(	(	PUNCT
ejpam-5673	139	62	δ	δ	PROPN
ejpam-5673	139	63	−	−	PROPN
ejpam-5673	139	64	1)m−	1)m−	NUM
ejpam-5673	139	65	2ζ	2ζ	NOUN
ejpam-5673	139	66	+	+	CCONJ
ejpam-5673	139	67	3	3	NUM
ejpam-5673	139	68	for	for	ADP
ejpam-5673	139	69	δ	δ	PROPN
ejpam-5673	139	70	∈	∈	PROPN
ejpam-5673	139	71	{	{	PUNCT
ejpam-5673	139	72	ζ−1	ζ−1	PROPN
ejpam-5673	139	73	m	m	VERB
ejpam-5673	139	74	2	2	NUM
ejpam-5673	139	75	+	+	CCONJ
ejpam-5673	139	76	2	2	NUM
ejpam-5673	139	77	,	,	PUNCT
ejpam-5673	139	78	...	...	PUNCT
ejpam-5673	139	79	,	,	PUNCT
ejpam-5673	139	80	n	n	CCONJ
ejpam-5673	139	81	}	}	PUNCT
ejpam-5673	139	82	ω(yδxδ+1	ω(yδxδ+1	NUM
ejpam-5673	139	83	)	)	PUNCT
ejpam-5673	139	84	=	=	PUNCT
ejpam-5673	140	1			PROPN
ejpam-5673	140	2	m	m	VERB
ejpam-5673	140	3	2	2	NUM
ejpam-5673	140	4	+	+	CCONJ
ejpam-5673	140	5	δ	δ	PROPN
ejpam-5673	140	6	for	for	ADP
ejpam-5673	140	7	δ	δ	PROPN
ejpam-5673	140	8	∈	∈	PROPN
ejpam-5673	140	9	{	{	PUNCT
ejpam-5673	140	10	1	1	NUM
ejpam-5673	140	11	,	,	PUNCT
ejpam-5673	140	12	2	2	NUM
ejpam-5673	140	13	,	,	PUNCT
ejpam-5673	140	14	3	3	NUM
ejpam-5673	140	15	,	,	PUNCT
ejpam-5673	140	16	...	...	PUNCT
ejpam-5673	140	17	,	,	PUNCT
ejpam-5673	140	18	ζ−1	ζ−1	PROPN
ejpam-5673	140	19	m	m	VERB
ejpam-5673	140	20	2	2	NUM
ejpam-5673	140	21	}	}	PUNCT
ejpam-5673	140	22	mδ	mδ	ADP
ejpam-5673	140	23	−	−	PROPN
ejpam-5673	140	24	ζ	ζ	NOUN
ejpam-5673	140	25	+	+	NOUN
ejpam-5673	140	26	1	1	NUM
ejpam-5673	140	27	−	−	NOUN
ejpam-5673	140	28	m	m	VERB
ejpam-5673	140	29	2	2	NUM
ejpam-5673	140	30	(	(	PUNCT
ejpam-5673	140	31	δ	δ	NOUN
ejpam-5673	140	32	−	−	PROPN
ejpam-5673	140	33	1	1	NUM
ejpam-5673	140	34	)	)	PUNCT
ejpam-5673	140	35	for	for	ADP
ejpam-5673	140	36	δ	δ	PROPN
ejpam-5673	140	37	=	=	PUNCT
ejpam-5673	141	1	ζ−1	ζ−1	PROPN
ejpam-5673	141	2	m	m	VERB
ejpam-5673	141	3	2	2	NUM
ejpam-5673	141	4	+	+	CCONJ
ejpam-5673	141	5	1	1	NUM
ejpam-5673	141	6	δm−	δm−	NUM
ejpam-5673	141	7	2ζ	2ζ	NUM
ejpam-5673	141	8	+	+	CCONJ
ejpam-5673	141	9	2	2	NUM
ejpam-5673	141	10	for	for	ADP
ejpam-5673	141	11	δ	δ	PROPN
ejpam-5673	141	12	∈	∈	PROPN
ejpam-5673	141	13	{	{	PUNCT
ejpam-5673	141	14	ζ−1	ζ−1	PROPN
ejpam-5673	141	15	m	m	VERB
ejpam-5673	141	16	2	2	NUM
ejpam-5673	141	17	+	+	CCONJ
ejpam-5673	141	18	2	2	NUM
ejpam-5673	141	19	,	,	PUNCT
ejpam-5673	141	20	...	...	PUNCT
ejpam-5673	141	21	,	,	PUNCT
ejpam-5673	141	22	n	n	CCONJ
ejpam-5673	141	23	}	}	PUNCT
ejpam-5673	142	1	ω(yδz	ω(yδz	PROPN
ejpam-5673	142	2	s	s	PART
ejpam-5673	142	3	δ	δ	NOUN
ejpam-5673	142	4	)	)	PUNCT
ejpam-5673	142	5	=	=	SYM
ejpam-5673	142	6			NUM
ejpam-5673	142	7	δ	δ	PROPN
ejpam-5673	143	1	+	+	X
ejpam-5673	143	2	s	s	VERB
ejpam-5673	143	3	for	for	ADP
ejpam-5673	143	4	δ	δ	PROPN
ejpam-5673	143	5	∈	∈	PROPN
ejpam-5673	143	6	{	{	PUNCT
ejpam-5673	143	7	1	1	NUM
ejpam-5673	143	8	,	,	PUNCT
ejpam-5673	143	9	2	2	NUM
ejpam-5673	143	10	,	,	PUNCT
ejpam-5673	143	11	3	3	NUM
ejpam-5673	143	12	,	,	PUNCT
ejpam-5673	143	13	...	...	PUNCT
ejpam-5673	143	14	,	,	PUNCT
ejpam-5673	143	15	ζ−1	ζ−1	PROPN
ejpam-5673	143	16	m	m	VERB
ejpam-5673	143	17	2	2	NUM
ejpam-5673	143	18	}	}	PUNCT
ejpam-5673	143	19	δ	δ	PROPN
ejpam-5673	144	1	+	+	X
ejpam-5673	144	2	s	s	VERB
ejpam-5673	144	3	for	for	ADP
ejpam-5673	144	4			PRON
ejpam-5673	144	5	δ	δ	X
ejpam-5673	144	6	=	=	PUNCT
ejpam-5673	145	1	ζ−1	ζ−1	PROPN
ejpam-5673	145	2	m	m	VERB
ejpam-5673	145	3	2	2	NUM
ejpam-5673	145	4	+	+	CCONJ
ejpam-5673	145	5	1	1	NUM
ejpam-5673	145	6	s	s	NOUN
ejpam-5673	145	7	=	=	PUNCT
ejpam-5673	145	8	{	{	PUNCT
ejpam-5673	145	9	1	1	NUM
ejpam-5673	145	10	,	,	PUNCT
ejpam-5673	145	11	2	2	NUM
ejpam-5673	145	12	,	,	PUNCT
ejpam-5673	145	13	3	3	NUM
ejpam-5673	145	14	,	,	PUNCT
ejpam-5673	145	15	...	...	PUNCT
ejpam-5673	145	16	,	,	PUNCT
ejpam-5673	145	17	ζ	ζ	NOUN
ejpam-5673	145	18	−	−	PROPN
ejpam-5673	145	19	(	(	PUNCT
ejpam-5673	145	20	m2	m2	PROPN
ejpam-5673	145	21	−	−	PROPN
ejpam-5673	145	22	1)(δ	1)(δ	NUM
ejpam-5673	146	1	−	−	NOUN
ejpam-5673	146	2	1	1	NUM
ejpam-5673	146	3	)	)	PUNCT
ejpam-5673	146	4	}	}	PUNCT
ejpam-5673	146	5	m	m	VERB
ejpam-5673	146	6	2	2	NUM
ejpam-5673	146	7	(	(	PUNCT
ejpam-5673	146	8	δ	δ	NOUN
ejpam-5673	146	9	−	−	PROPN
ejpam-5673	146	10	1	1	NUM
ejpam-5673	146	11	)	)	PUNCT
ejpam-5673	146	12	−	−	NOUN
ejpam-5673	146	13	ζ	ζ	NOUN
ejpam-5673	147	1	+	+	CCONJ
ejpam-5673	147	2	2s	2s	PROPN
ejpam-5673	147	3	+	+	CCONJ
ejpam-5673	147	4	δ	δ	PROPN
ejpam-5673	147	5	for	for	ADP
ejpam-5673	147	6			PROPN
ejpam-5673	147	7	δ	δ	X
ejpam-5673	148	1	=	=	PUNCT
ejpam-5673	149	1	ζ−1	ζ−1	PROPN
ejpam-5673	149	2	m	m	VERB
ejpam-5673	149	3	2	2	NUM
ejpam-5673	149	4	+	+	CCONJ
ejpam-5673	149	5	1	1	NUM
ejpam-5673	149	6	s	s	NOUN
ejpam-5673	149	7	=	=	PUNCT
ejpam-5673	149	8	{	{	PUNCT
ejpam-5673	149	9	ζ	ζ	NOUN
ejpam-5673	149	10	−	−	PROPN
ejpam-5673	149	11	m	m	NOUN
ejpam-5673	149	12	2	2	NUM
ejpam-5673	149	13	(	(	PUNCT
ejpam-5673	149	14	δ	δ	NOUN
ejpam-5673	149	15	−	−	PROPN
ejpam-5673	149	16	1	1	NUM
ejpam-5673	149	17	)	)	PUNCT
ejpam-5673	149	18	+	+	NUM
ejpam-5673	149	19	1	1	NUM
ejpam-5673	149	20	,	,	PUNCT
ejpam-5673	149	21	...	...	PUNCT
ejpam-5673	149	22	,	,	PUNCT
ejpam-5673	149	23	m2	m2	PROPN
ejpam-5673	149	24	}	}	PUNCT
ejpam-5673	149	25	(	(	PUNCT
ejpam-5673	149	26	δ	δ	PROPN
ejpam-5673	150	1	−	−	PROPN
ejpam-5673	150	2	1)m−	1)m−	NUM
ejpam-5673	150	3	2ζ	2ζ	NOUN
ejpam-5673	151	1	+	+	CCONJ
ejpam-5673	151	2	2s	2s	NUM
ejpam-5673	151	3	+	+	SYM
ejpam-5673	151	4	2	2	NUM
ejpam-5673	151	5	for	for	ADP
ejpam-5673	151	6	δ	δ	PROPN
ejpam-5673	151	7	∈	∈	PROPN
ejpam-5673	151	8	{	{	PUNCT
ejpam-5673	151	9	ζ−1	ζ−1	PROPN
ejpam-5673	151	10	m	m	VERB
ejpam-5673	151	11	2	2	NUM
ejpam-5673	151	12	+	+	CCONJ
ejpam-5673	151	13	2	2	NUM
ejpam-5673	151	14	,	,	PUNCT
ejpam-5673	151	15	...	...	PUNCT
ejpam-5673	151	16	,	,	PUNCT
ejpam-5673	151	17	n	n	CCONJ
ejpam-5673	151	18	}	}	PUNCT
ejpam-5673	151	19	h.	h.	PROPN
ejpam-5673	151	20	attiya	attiya	PROPN
ejpam-5673	151	21	,	,	PUNCT
ejpam-5673	151	22	n.	n.	PROPN
ejpam-5673	151	23	ahmed	ahmed	PROPN
ejpam-5673	151	24	,	,	PUNCT
ejpam-5673	151	25	f.	f.	PROPN
ejpam-5673	151	26	salama	salama	PROPN
ejpam-5673	151	27	/	/	SYM
ejpam-5673	151	28	eur	eur	PROPN
ejpam-5673	151	29	.	.	PUNCT
ejpam-5673	152	1	j.	j.	PROPN
ejpam-5673	152	2	pure	pure	PROPN
ejpam-5673	152	3	appl	appl	PROPN
ejpam-5673	152	4	.	.	PROPN
ejpam-5673	152	5	math	math	PROPN
ejpam-5673	152	6	,	,	PUNCT
ejpam-5673	152	7	18	18	NUM
ejpam-5673	152	8	(	(	PUNCT
ejpam-5673	152	9	2	2	NUM
ejpam-5673	152	10	)	)	PUNCT
ejpam-5673	152	11	(	(	PUNCT
ejpam-5673	152	12	2025	2025	NUM
ejpam-5673	152	13	)	)	PUNCT
ejpam-5673	152	14	,	,	PUNCT
ejpam-5673	152	15	5673	5673	NUM
ejpam-5673	152	16	8	8	NUM
ejpam-5673	152	17	of	of	ADP
ejpam-5673	152	18	11	11	NUM
ejpam-5673	152	19	ω(yδh	ω(yδh	X
ejpam-5673	152	20	s	s	PROPN
ejpam-5673	152	21	δ	δ	NOUN
ejpam-5673	152	22	)	)	PUNCT
ejpam-5673	152	23	=	=	SYM
ejpam-5673	152	24			NUM
ejpam-5673	152	25	δ	δ	PROPN
ejpam-5673	153	1	+	+	SYM
ejpam-5673	153	2	s	s	PART
ejpam-5673	153	3	+	+	ADJ
ejpam-5673	153	4	1	1	NUM
ejpam-5673	153	5	for	for	ADP
ejpam-5673	153	6	δ	δ	PROPN
ejpam-5673	153	7	∈	∈	PROPN
ejpam-5673	153	8	{	{	PUNCT
ejpam-5673	153	9	1	1	NUM
ejpam-5673	153	10	,	,	PUNCT
ejpam-5673	153	11	2	2	NUM
ejpam-5673	153	12	,	,	PUNCT
ejpam-5673	153	13	3	3	NUM
ejpam-5673	153	14	,	,	PUNCT
ejpam-5673	153	15	...	...	PUNCT
ejpam-5673	153	16	,	,	PUNCT
ejpam-5673	153	17	ζ−1	ζ−1	PROPN
ejpam-5673	153	18	m	m	VERB
ejpam-5673	153	19	2	2	NUM
ejpam-5673	153	20	}	}	PUNCT
ejpam-5673	153	21	δ	δ	PROPN
ejpam-5673	154	1	+	+	SYM
ejpam-5673	154	2	s	s	PART
ejpam-5673	154	3	+	+	ADJ
ejpam-5673	154	4	1	1	NUM
ejpam-5673	154	5	for	for	ADP
ejpam-5673	154	6			PRON
ejpam-5673	154	7	δ	δ	X
ejpam-5673	154	8	=	=	PUNCT
ejpam-5673	155	1	ζ−1	ζ−1	PROPN
ejpam-5673	155	2	m	m	VERB
ejpam-5673	155	3	2	2	NUM
ejpam-5673	155	4	+	+	CCONJ
ejpam-5673	155	5	1	1	NUM
ejpam-5673	155	6	s	s	NOUN
ejpam-5673	155	7	=	=	PUNCT
ejpam-5673	155	8	{	{	PUNCT
ejpam-5673	155	9	1	1	NUM
ejpam-5673	155	10	,	,	PUNCT
ejpam-5673	155	11	2	2	NUM
ejpam-5673	155	12	,	,	PUNCT
ejpam-5673	155	13	3	3	NUM
ejpam-5673	155	14	,	,	PUNCT
ejpam-5673	155	15	...	...	PUNCT
ejpam-5673	155	16	,	,	PUNCT
ejpam-5673	155	17	ζ	ζ	NOUN
ejpam-5673	155	18	−	−	PROPN
ejpam-5673	155	19	m	m	NOUN
ejpam-5673	155	20	2	2	NUM
ejpam-5673	155	21	(	(	PUNCT
ejpam-5673	155	22	δ	δ	NOUN
ejpam-5673	155	23	−	−	PROPN
ejpam-5673	155	24	1	1	NUM
ejpam-5673	155	25	)	)	PUNCT
ejpam-5673	155	26	−	−	NOUN
ejpam-5673	155	27	1	1	NUM
ejpam-5673	155	28	}	}	PUNCT
ejpam-5673	155	29	m	m	VERB
ejpam-5673	155	30	2	2	NUM
ejpam-5673	155	31	(	(	PUNCT
ejpam-5673	155	32	δ	δ	NOUN
ejpam-5673	155	33	−	−	PROPN
ejpam-5673	155	34	1	1	NUM
ejpam-5673	155	35	)	)	PUNCT
ejpam-5673	155	36	−	−	NOUN
ejpam-5673	155	37	ζ	ζ	NOUN
ejpam-5673	156	1	+	+	CCONJ
ejpam-5673	156	2	2s	2s	NUM
ejpam-5673	156	3	+	+	CCONJ
ejpam-5673	156	4	δ	δ	PROPN
ejpam-5673	156	5	+	+	CCONJ
ejpam-5673	156	6	1	1	NUM
ejpam-5673	156	7	for	for	ADP
ejpam-5673	156	8			PRON
ejpam-5673	156	9	δ	δ	X
ejpam-5673	156	10	=	=	PUNCT
ejpam-5673	157	1	ζ−1	ζ−1	PROPN
ejpam-5673	157	2	m	m	VERB
ejpam-5673	157	3	2	2	NUM
ejpam-5673	157	4	+	+	CCONJ
ejpam-5673	157	5	1	1	NUM
ejpam-5673	157	6	s	s	NOUN
ejpam-5673	157	7	=	=	PUNCT
ejpam-5673	157	8	{	{	PUNCT
ejpam-5673	157	9	ζ	ζ	NOUN
ejpam-5673	157	10	−	−	PROPN
ejpam-5673	157	11	(	(	PUNCT
ejpam-5673	157	12	m2	m2	PROPN
ejpam-5673	157	13	−	−	PROPN
ejpam-5673	157	14	1)(δ	1)(δ	NUM
ejpam-5673	158	1	−	−	NOUN
ejpam-5673	158	2	1	1	NUM
ejpam-5673	158	3	)	)	PUNCT
ejpam-5673	158	4	,	,	PUNCT
ejpam-5673	158	5	...	...	PUNCT
ejpam-5673	158	6	,	,	PUNCT
ejpam-5673	158	7	m2	m2	PROPN
ejpam-5673	158	8	−	−	PROPN
ejpam-5673	158	9	1	1	NUM
ejpam-5673	158	10	}	}	PUNCT
ejpam-5673	158	11	(	(	PUNCT
ejpam-5673	158	12	δ	δ	PROPN
ejpam-5673	158	13	−	−	PROPN
ejpam-5673	158	14	1)m−	1)m−	NUM
ejpam-5673	158	15	2ζ	2ζ	NOUN
ejpam-5673	159	1	+	+	CCONJ
ejpam-5673	159	2	2s	2s	NUM
ejpam-5673	159	3	+	+	SYM
ejpam-5673	159	4	3	3	NUM
ejpam-5673	159	5	for	for	ADP
ejpam-5673	159	6	δ	δ	PROPN
ejpam-5673	159	7	∈	∈	PROPN
ejpam-5673	159	8	{	{	PUNCT
ejpam-5673	159	9	ζ−1	ζ−1	PROPN
ejpam-5673	159	10	m	m	VERB
ejpam-5673	159	11	2	2	NUM
ejpam-5673	159	12	+	+	CCONJ
ejpam-5673	159	13	2	2	NUM
ejpam-5673	159	14	,	,	PUNCT
ejpam-5673	159	15	...	...	PUNCT
ejpam-5673	159	16	,	,	PUNCT
ejpam-5673	159	17	n	n	CCONJ
ejpam-5673	159	18	}	}	PUNCT
ejpam-5673	159	19	from	from	ADP
ejpam-5673	159	20	the	the	DET
ejpam-5673	159	21	previous	previous	ADJ
ejpam-5673	159	22	formulas	formula	NOUN
ejpam-5673	159	23	,	,	PUNCT
ejpam-5673	159	24	we	we	PRON
ejpam-5673	159	25	can	can	AUX
ejpam-5673	159	26	deduce	deduce	VERB
ejpam-5673	159	27	that	that	SCONJ
ejpam-5673	159	28	ζ	ζ	NOUN
ejpam-5673	159	29	is	be	AUX
ejpam-5673	159	30	the	the	DET
ejpam-5673	159	31	greatest	great	ADJ
ejpam-5673	159	32	label	label	NOUN
ejpam-5673	159	33	of	of	ADP
ejpam-5673	159	34	edges	edge	NOUN
ejpam-5673	159	35	and	and	CCONJ
ejpam-5673	159	36	vertices	vertex	NOUN
ejpam-5673	159	37	.	.	PUNCT
ejpam-5673	160	1	after	after	ADP
ejpam-5673	160	2	calculating	calculate	VERB
ejpam-5673	160	3	the	the	DET
ejpam-5673	160	4	weights	weight	NOUN
ejpam-5673	160	5	of	of	ADP
ejpam-5673	160	6	the	the	DET
ejpam-5673	160	7	edges	edge	NOUN
ejpam-5673	160	8	of	of	ADP
ejpam-5673	160	9	the	the	DET
ejpam-5673	160	10	graph	graph	NOUN
ejpam-5673	160	11	psm	psm	NOUN
ejpam-5673	160	12	,	,	PUNCT
ejpam-5673	160	13	n	n	PRON
ejpam-5673	160	14	we	we	PRON
ejpam-5673	160	15	find	find	VERB
ejpam-5673	160	16	:	:	PUNCT
ejpam-5673	160	17	wω(xδyδ	wω(xδyδ	NOUN
ejpam-5673	160	18	)	)	PUNCT
ejpam-5673	160	19	=	=	SYM
ejpam-5673	161	1	(	(	PUNCT
ejpam-5673	161	2	δ	δ	PROPN
ejpam-5673	161	3	−	−	PROPN
ejpam-5673	162	1	1)m	1)m	PROPN
ejpam-5673	162	2	+	+	CCONJ
ejpam-5673	162	3	3	3	NUM
ejpam-5673	162	4	wω(yδxδ+1	wω(yδxδ+1	PROPN
ejpam-5673	162	5	)	)	PUNCT
ejpam-5673	163	1	=	=	PUNCT
ejpam-5673	163	2	mδ	mδ	PROPN
ejpam-5673	164	1	+	+	NOUN
ejpam-5673	164	2	2	2	NUM
ejpam-5673	164	3	wω(yδz	wω(yδz	PROPN
ejpam-5673	164	4	s	s	PROPN
ejpam-5673	164	5	δ	δ	PROPN
ejpam-5673	164	6	)	)	PUNCT
ejpam-5673	164	7	=	=	PUNCT
ejpam-5673	164	8	(	(	PUNCT
ejpam-5673	164	9	δ	δ	PROPN
ejpam-5673	164	10	−	−	PROPN
ejpam-5673	164	11	1)m	1)m	PROPN
ejpam-5673	165	1	+	+	CCONJ
ejpam-5673	165	2	2(s	2(s	NUM
ejpam-5673	165	3	+	+	CCONJ
ejpam-5673	165	4	1	1	X
ejpam-5673	165	5	)	)	PUNCT
ejpam-5673	165	6	wω(yδh	wω(yδh	NOUN
ejpam-5673	165	7	s	s	NOUN
ejpam-5673	165	8	δ	δ	NOUN
ejpam-5673	165	9	)	)	PUNCT
ejpam-5673	165	10	=	=	PUNCT
ejpam-5673	165	11	(	(	PUNCT
ejpam-5673	165	12	δ	δ	PROPN
ejpam-5673	165	13	−	−	PROPN
ejpam-5673	165	14	1)m	1)m	PROPN
ejpam-5673	166	1	+	+	CCONJ
ejpam-5673	166	2	2s	2s	NUM
ejpam-5673	166	3	+	+	CCONJ
ejpam-5673	166	4	3	3	NUM
ejpam-5673	166	5	from	from	ADP
ejpam-5673	166	6	the	the	DET
ejpam-5673	166	7	equations	equation	NOUN
ejpam-5673	166	8	of	of	ADP
ejpam-5673	166	9	weights	weight	NOUN
ejpam-5673	166	10	of	of	ADP
ejpam-5673	166	11	edges	edge	NOUN
ejpam-5673	166	12	we	we	PRON
ejpam-5673	166	13	see	see	VERB
ejpam-5673	166	14	that	that	SCONJ
ejpam-5673	166	15	they	they	PRON
ejpam-5673	166	16	are	be	AUX
ejpam-5673	166	17	different	different	ADJ
ejpam-5673	166	18	.	.	PUNCT
ejpam-5673	167	1	so	so	ADV
ejpam-5673	167	2	ω	ω	PROPN
ejpam-5673	167	3	is	be	AUX
ejpam-5673	167	4	an	an	DET
ejpam-5673	167	5	edge	edge	NOUN
ejpam-5673	167	6	irregular	irregular	ADJ
ejpam-5673	167	7	total	total	ADJ
ejpam-5673	167	8	ζ	ζ	NOUN
ejpam-5673	167	9	-	-	PUNCT
ejpam-5673	167	10	labeling	labeling	NOUN
ejpam-5673	167	11	and	and	CCONJ
ejpam-5673	167	12	tes(psm	tes(psm	ADJ
ejpam-5673	167	13	,	,	PUNCT
ejpam-5673	167	14	n	n	CCONJ
ejpam-5673	167	15	)	)	PUNCT
ejpam-5673	168	1	=	=	SYM
ejpam-5673	168	2	mn	mn	PROPN
ejpam-5673	168	3	+	+	CCONJ
ejpam-5673	168	4	2	2	NUM
ejpam-5673	168	5	3	3	NUM
ejpam-5673	168	6	figure	figure	NOUN
ejpam-5673	168	7	4	4	NUM
ejpam-5673	168	8	:	:	SYM
ejpam-5673	168	9	10	10	NUM
ejpam-5673	168	10	-	-	PUNCT
ejpam-5673	168	11	star	star	NOUN
ejpam-5673	168	12	snake	snake	NOUN
ejpam-5673	168	13	graph	graph	NOUN
ejpam-5673	168	14	ps10,5	ps10,5	NOUN
ejpam-5673	168	15	3	3	X
ejpam-5673	168	16	.	.	PUNCT
ejpam-5673	168	17	conclusion	conclusion	NOUN
ejpam-5673	168	18	graph	graph	NOUN
ejpam-5673	168	19	labeling	labeling	NOUN
ejpam-5673	168	20	plays	play	VERB
ejpam-5673	168	21	an	an	DET
ejpam-5673	168	22	important	important	ADJ
ejpam-5673	168	23	role	role	NOUN
ejpam-5673	168	24	in	in	ADP
ejpam-5673	168	25	different	different	ADJ
ejpam-5673	168	26	research	research	NOUN
ejpam-5673	168	27	areas	area	NOUN
ejpam-5673	168	28	such	such	ADJ
ejpam-5673	168	29	as	as	ADP
ejpam-5673	168	30	computer	computer	NOUN
ejpam-5673	168	31	science	science	NOUN
ejpam-5673	168	32	,	,	PUNCT
ejpam-5673	168	33	coding	code	VERB
ejpam-5673	168	34	and	and	CCONJ
ejpam-5673	168	35	mathematical	mathematical	ADJ
ejpam-5673	168	36	physics	physics	NOUN
ejpam-5673	168	37	.	.	PUNCT
ejpam-5673	169	1	the	the	DET
ejpam-5673	169	2	total	total	ADJ
ejpam-5673	169	3	edge	edge	NOUN
ejpam-5673	169	4	irregularity	irregularity	NOUN
ejpam-5673	169	5	strength	strength	NOUN
ejpam-5673	169	6	of	of	ADP
ejpam-5673	169	7	a	a	DET
ejpam-5673	169	8	graph	graph	NOUN
ejpam-5673	169	9	g	g	NOUN
ejpam-5673	169	10	and	and	CCONJ
ejpam-5673	169	11	is	be	AUX
ejpam-5673	169	12	denoted	denote	VERB
ejpam-5673	169	13	by	by	ADP
ejpam-5673	169	14	tes(g	tes(g	PROPN
ejpam-5673	169	15	)	)	PUNCT
ejpam-5673	169	16	and	and	CCONJ
ejpam-5673	169	17	is	be	AUX
ejpam-5673	169	18	defined	define	VERB
ejpam-5673	169	19	as	as	ADP
ejpam-5673	169	20	the	the	DET
ejpam-5673	169	21	minimum	minimum	ADJ
ejpam-5673	169	22	positive	positive	ADJ
ejpam-5673	169	23	integer	integer	NOUN
ejpam-5673	169	24	k	k	PROPN
ejpam-5673	169	25	for	for	ADP
ejpam-5673	169	26	which	which	PRON
ejpam-5673	169	27	the	the	DET
ejpam-5673	169	28	graph	graph	NOUN
ejpam-5673	169	29	g	g	PROPN
ejpam-5673	169	30	has	have	VERB
ejpam-5673	169	31	an	an	DET
ejpam-5673	169	32	edge	edge	NOUN
ejpam-5673	169	33	irregular	irregular	ADJ
ejpam-5673	169	34	total	total	ADJ
ejpam-5673	169	35	k	k	NOUN
ejpam-5673	169	36	-	-	NOUN
ejpam-5673	169	37	labeling	labeling	NOUN
ejpam-5673	169	38	.	.	PUNCT
ejpam-5673	170	1	the	the	DET
ejpam-5673	170	2	present	present	ADJ
ejpam-5673	170	3	work	work	NOUN
ejpam-5673	170	4	aims	aim	VERB
ejpam-5673	170	5	to	to	PART
ejpam-5673	170	6	study	study	VERB
ejpam-5673	170	7	the	the	DET
ejpam-5673	170	8	star	star	NOUN
ejpam-5673	170	9	snake	snake	NOUN
ejpam-5673	170	10	graph	graph	NOUN
ejpam-5673	170	11	and	and	CCONJ
ejpam-5673	170	12	some	some	DET
ejpam-5673	170	13	related	related	ADJ
ejpam-5673	170	14	graphs	graph	NOUN
ejpam-5673	170	15	,	,	PUNCT
ejpam-5673	170	16	and	and	CCONJ
ejpam-5673	170	17	determine	determine	VERB
ejpam-5673	170	18	the	the	DET
ejpam-5673	170	19	teis	teis	NOUN
ejpam-5673	170	20	for	for	ADP
ejpam-5673	170	21	these	these	DET
ejpam-5673	170	22	graphs	graph	NOUN
ejpam-5673	170	23	.	.	PUNCT
ejpam-5673	171	1	new	new	ADJ
ejpam-5673	171	2	h.	h.	PROPN
ejpam-5673	171	3	attiya	attiya	PROPN
ejpam-5673	171	4	,	,	PUNCT
ejpam-5673	171	5	n.	n.	PROPN
ejpam-5673	171	6	ahmed	ahmed	PROPN
ejpam-5673	171	7	,	,	PUNCT
ejpam-5673	171	8	f.	f.	PROPN
ejpam-5673	171	9	salama	salama	PROPN
ejpam-5673	171	10	/	/	SYM
ejpam-5673	171	11	eur	eur	PROPN
ejpam-5673	171	12	.	.	PUNCT
ejpam-5673	172	1	j.	j.	PROPN
ejpam-5673	172	2	pure	pure	PROPN
ejpam-5673	172	3	appl	appl	PROPN
ejpam-5673	172	4	.	.	PROPN
ejpam-5673	172	5	math	math	PROPN
ejpam-5673	172	6	,	,	PUNCT
ejpam-5673	172	7	18	18	NUM
ejpam-5673	172	8	(	(	PUNCT
ejpam-5673	172	9	2	2	NUM
ejpam-5673	172	10	)	)	PUNCT
ejpam-5673	172	11	(	(	PUNCT
ejpam-5673	172	12	2025	2025	NUM
ejpam-5673	172	13	)	)	PUNCT
ejpam-5673	172	14	,	,	PUNCT
ejpam-5673	172	15	5673	5673	NUM
ejpam-5673	172	16	9	9	NUM
ejpam-5673	172	17	of	of	ADP
ejpam-5673	172	18	11	11	NUM
ejpam-5673	172	19	figure	figure	NOUN
ejpam-5673	172	20	5	5	NUM
ejpam-5673	172	21	:	:	PUNCT
ejpam-5673	172	22	9	9	NUM
ejpam-5673	172	23	-	-	PUNCT
ejpam-5673	172	24	star	star	NOUN
ejpam-5673	172	25	snake	snake	NOUN
ejpam-5673	172	26	graph	graph	NOUN
ejpam-5673	172	27	ps9,5	ps9,5	NOUN
ejpam-5673	172	28	types	type	NOUN
ejpam-5673	172	29	of	of	ADP
ejpam-5673	172	30	graphs	graph	NOUN
ejpam-5673	172	31	called	call	VERB
ejpam-5673	172	32	a	a	DET
ejpam-5673	172	33	triple	triple	ADJ
ejpam-5673	172	34	star	star	NOUN
ejpam-5673	172	35	snake	snake	NOUN
ejpam-5673	172	36	graph	graph	NOUN
ejpam-5673	172	37	psm	psm	PROPN
ejpam-5673	172	38	,	,	PUNCT
ejpam-5673	172	39	n	n	NOUN
ejpam-5673	172	40	and	and	CCONJ
ejpam-5673	172	41	m	m	PROPN
ejpam-5673	172	42	-	-	ADJ
ejpam-5673	172	43	star	star	NOUN
ejpam-5673	172	44	snake	snake	NOUN
ejpam-5673	172	45	graph	graph	NOUN
ejpam-5673	172	46	psm	psm	PROPN
ejpam-5673	172	47	,	,	PUNCT
ejpam-5673	172	48	n	n	PRON
ejpam-5673	172	49	were	be	AUX
ejpam-5673	172	50	defined	define	VERB
ejpam-5673	172	51	.	.	PUNCT
ejpam-5673	173	1	the	the	DET
ejpam-5673	173	2	following	follow	VERB
ejpam-5673	173	3	theorem	theorem	NOUN
ejpam-5673	173	4	has	have	AUX
ejpam-5673	173	5	been	be	AUX
ejpam-5673	173	6	proved	prove	VERB
ejpam-5673	173	7	:	:	PUNCT
ejpam-5673	173	8	if	if	SCONJ
ejpam-5673	173	9	psm	psm	PROPN
ejpam-5673	173	10	,	,	PUNCT
ejpam-5673	173	11	n	n	PRON
ejpam-5673	173	12	is	be	AUX
ejpam-5673	173	13	a	a	DET
ejpam-5673	173	14	triple	triple	ADJ
ejpam-5673	173	15	star	star	NOUN
ejpam-5673	173	16	snake	snake	NOUN
ejpam-5673	173	17	graph	graph	NOUN
ejpam-5673	173	18	with	with	ADP
ejpam-5673	173	19	3n	3n	NUM
ejpam-5673	173	20	+	+	CCONJ
ejpam-5673	173	21	1	1	NUM
ejpam-5673	173	22	vertices	vertex	NOUN
ejpam-5673	173	23	,	,	PUNCT
ejpam-5673	173	24	then	then	ADV
ejpam-5673	173	25	teis	teis	PROPN
ejpam-5673	173	26	is	be	AUX
ejpam-5673	173	27	:	:	PUNCT
ejpam-5673	173	28	tes(ps3,n	tes(ps3,n	NOUN
ejpam-5673	173	29	)	)	PUNCT
ejpam-5673	173	30	=	=	SYM
ejpam-5673	173	31	n	n	PROPN
ejpam-5673	173	32	+	+	NOUN
ejpam-5673	173	33	1	1	NUM
ejpam-5673	173	34	.	.	X
ejpam-5673	174	1	after	after	ADP
ejpam-5673	174	2	that	that	PRON
ejpam-5673	174	3	,	,	PUNCT
ejpam-5673	174	4	we	we	PRON
ejpam-5673	174	5	have	have	AUX
ejpam-5673	174	6	generalized	generalize	VERB
ejpam-5673	174	7	the	the	DET
ejpam-5673	174	8	results	result	NOUN
ejpam-5673	174	9	for	for	ADP
ejpam-5673	174	10	m	m	PROPN
ejpam-5673	174	11	-	-	ADJ
ejpam-5673	174	12	star	star	NOUN
ejpam-5673	174	13	snake	snake	NOUN
ejpam-5673	174	14	graph	graph	NOUN
ejpam-5673	174	15	psm	psm	PROPN
ejpam-5673	174	16	,	,	PUNCT
ejpam-5673	174	17	nas	nas	PROPN
ejpam-5673	174	18	:	:	PUNCT
ejpam-5673	174	19	tes(psm	tes(psm	PROPN
ejpam-5673	174	20	,	,	PUNCT
ejpam-5673	174	21	n	n	CCONJ
ejpam-5673	174	22	)	)	PUNCT
ejpam-5673	174	23	=	=	SYM
ejpam-5673	175	1	mn+2	mn+2	NOUN
ejpam-5673	175	2	3	3	NUM
ejpam-5673	175	3	where	where	SCONJ
ejpam-5673	175	4	the	the	DET
ejpam-5673	175	5	m	m	PROPN
ejpam-5673	175	6	-	-	PUNCT
ejpam-5673	175	7	star	star	NOUN
ejpam-5673	175	8	snake	snake	NOUN
ejpam-5673	175	9	graph	graph	NOUN
ejpam-5673	175	10	psm	psm	PROPN
ejpam-5673	175	11	,	,	PUNCT
ejpam-5673	175	12	n	n	PRON
ejpam-5673	175	13	is	be	AUX
ejpam-5673	175	14	defined	define	VERB
ejpam-5673	175	15	as	as	ADP
ejpam-5673	175	16	a	a	DET
ejpam-5673	175	17	path	path	NOUN
ejpam-5673	175	18	pn	pn	NOUN
ejpam-5673	175	19	in	in	ADP
ejpam-5673	175	20	which	which	PRON
ejpam-5673	175	21	we	we	PRON
ejpam-5673	175	22	replace	replace	VERB
ejpam-5673	175	23	each	each	DET
ejpam-5673	175	24	edge	edge	NOUN
ejpam-5673	175	25	with	with	ADP
ejpam-5673	175	26	a	a	DET
ejpam-5673	175	27	star	star	NOUN
ejpam-5673	175	28	sm	sm	PROPN
ejpam-5673	175	29	.	.	PUNCT
ejpam-5673	176	1	acknowledgements	acknowledgement	NOUN
ejpam-5673	176	2	we	we	PRON
ejpam-5673	176	3	are	be	AUX
ejpam-5673	176	4	so	so	ADV
ejpam-5673	176	5	grateful	grateful	ADJ
ejpam-5673	176	6	to	to	ADP
ejpam-5673	176	7	the	the	DET
ejpam-5673	176	8	reviewer	reviewer	NOUN
ejpam-5673	176	9	for	for	ADP
ejpam-5673	176	10	his	his	PRON
ejpam-5673	176	11	/	/	SYM
ejpam-5673	176	12	her	her	PRON
ejpam-5673	176	13	many	many	ADJ
ejpam-5673	176	14	valuable	valuable	ADJ
ejpam-5673	176	15	suggestions	suggestion	NOUN
ejpam-5673	176	16	and	and	CCONJ
ejpam-5673	176	17	comments	comment	NOUN
ejpam-5673	176	18	that	that	PRON
ejpam-5673	176	19	significantly	significantly	ADV
ejpam-5673	176	20	improved	improve	VERB
ejpam-5673	176	21	the	the	DET
ejpam-5673	176	22	paper	paper	NOUN
ejpam-5673	176	23	.	.	PUNCT
ejpam-5673	177	1	conflict	conflict	NOUN
ejpam-5673	177	2	of	of	ADP
ejpam-5673	177	3	interest	interest	NOUN
ejpam-5673	177	4	all	all	DET
ejpam-5673	177	5	authors	author	NOUN
ejpam-5673	177	6	declare	declare	VERB
ejpam-5673	177	7	no	no	DET
ejpam-5673	177	8	conflict	conflict	NOUN
ejpam-5673	177	9	of	of	ADP
ejpam-5673	177	10	interest	interest	NOUN
ejpam-5673	177	11	in	in	ADP
ejpam-5673	177	12	this	this	DET
ejpam-5673	177	13	paper	paper	NOUN
ejpam-5673	177	14	.	.	PUNCT
ejpam-5673	178	1	references	reference	NOUN
ejpam-5673	178	2	[	[	X
ejpam-5673	178	3	1	1	NUM
ejpam-5673	178	4	]	]	PUNCT
ejpam-5673	178	5	x.	x.	PROPN
ejpam-5673	178	6	yu	yu	PROPN
ejpam-5673	178	7	,	,	PUNCT
ejpam-5673	178	8	s.	s.	PROPN
ejpam-5673	178	9	zaman	zaman	PROPN
ejpam-5673	178	10	,	,	PUNCT
ejpam-5673	178	11	a.	a.	PROPN
ejpam-5673	178	12	ullah	ullah	PROPN
ejpam-5673	178	13	,	,	PUNCT
ejpam-5673	178	14	et	et	PROPN
ejpam-5673	178	15	al	al	PROPN
ejpam-5673	178	16	.	.	PROPN
ejpam-5673	178	17	matrix	matrix	NOUN
ejpam-5673	178	18	analysis	analysis	NOUN
ejpam-5673	178	19	of	of	ADP
ejpam-5673	178	20	hexagonal	hexagonal	ADJ
ejpam-5673	178	21	model	model	NOUN
ejpam-5673	178	22	and	and	CCONJ
ejpam-5673	178	23	its	its	PRON
ejpam-5673	178	24	applications	application	NOUN
ejpam-5673	178	25	in	in	ADP
ejpam-5673	178	26	global	global	ADJ
ejpam-5673	178	27	mean	mean	ADJ
ejpam-5673	178	28	-	-	PUNCT
ejpam-5673	178	29	first	first	ADJ
ejpam-5673	178	30	-	-	PUNCT
ejpam-5673	178	31	passage	passage	NOUN
ejpam-5673	178	32	time	time	NOUN
ejpam-5673	178	33	of	of	ADP
ejpam-5673	178	34	random	random	ADJ
ejpam-5673	178	35	walks	walk	NOUN
ejpam-5673	178	36	.	.	PUNCT
ejpam-5673	179	1	ieee	ieee	NOUN
ejpam-5673	179	2	access	access	NOUN
ejpam-5673	179	3	,	,	PUNCT
ejpam-5673	179	4	11:10045	11:10045	NUM
ejpam-5673	179	5	–	–	PUNCT
ejpam-5673	179	6	10052	10052	NUM
ejpam-5673	179	7	,	,	PUNCT
ejpam-5673	179	8	2023	2023	NUM
ejpam-5673	179	9	.	.	PUNCT
ejpam-5673	180	1	[	[	X
ejpam-5673	180	2	2	2	X
ejpam-5673	180	3	]	]	PUNCT
ejpam-5673	180	4	j.	j.	PROPN
ejpam-5673	180	5	schmidt	schmidt	PROPN
ejpam-5673	180	6	et	et	PROPN
ejpam-5673	180	7	al	al	PROPN
ejpam-5673	180	8	.	.	PUNCT
ejpam-5673	181	1	recent	recent	ADJ
ejpam-5673	181	2	advances	advance	NOUN
ejpam-5673	181	3	and	and	CCONJ
ejpam-5673	181	4	applications	application	NOUN
ejpam-5673	181	5	of	of	ADP
ejpam-5673	181	6	machine	machine	NOUN
ejpam-5673	181	7	learning	learn	VERB
ejpam-5673	181	8	in	in	ADP
ejpam-5673	181	9	solid	solid	ADJ
ejpam-5673	181	10	-	-	PUNCT
ejpam-5673	181	11	state	state	NOUN
ejpam-5673	181	12	materials	material	NOUN
ejpam-5673	181	13	science	science	NOUN
ejpam-5673	181	14	.	.	PUNCT
ejpam-5673	182	1	npj	npj	PROPN
ejpam-5673	182	2	computational	computational	ADJ
ejpam-5673	182	3	materials	material	NOUN
ejpam-5673	182	4	,	,	PUNCT
ejpam-5673	182	5	5(1):83	5(1):83	NUM
ejpam-5673	182	6	,	,	PUNCT
ejpam-5673	182	7	2019	2019	NUM
ejpam-5673	182	8	.	.	PUNCT
ejpam-5673	183	1	[	[	X
ejpam-5673	183	2	3	3	X
ejpam-5673	183	3	]	]	X
ejpam-5673	183	4	f.	f.	PROPN
ejpam-5673	183	5	harary	harary	PROPN
ejpam-5673	183	6	.	.	PUNCT
ejpam-5673	184	1	graph	graph	NOUN
ejpam-5673	184	2	theory	theory	NOUN
ejpam-5673	184	3	and	and	CCONJ
ejpam-5673	184	4	theoretical	theoretical	ADJ
ejpam-5673	184	5	physics	physics	NOUN
ejpam-5673	184	6	.	.	PUNCT
ejpam-5673	185	1	academic	academic	ADJ
ejpam-5673	185	2	press	press	NOUN
ejpam-5673	185	3	,	,	PUNCT
ejpam-5673	185	4	new	new	PROPN
ejpam-5673	185	5	york	york	PROPN
ejpam-5673	185	6	,	,	PUNCT
ejpam-5673	185	7	1968	1968	NUM
ejpam-5673	185	8	.	.	PUNCT
ejpam-5673	186	1	[	[	X
ejpam-5673	186	2	4	4	NUM
ejpam-5673	186	3	]	]	X
ejpam-5673	186	4	n.	n.	NOUN
ejpam-5673	186	5	trinajstić.	trinajstić.	PROPN
ejpam-5673	186	6	chemical	chemical	NOUN
ejpam-5673	186	7	graph	graph	NOUN
ejpam-5673	186	8	theory	theory	NOUN
ejpam-5673	186	9	.	.	PUNCT
ejpam-5673	187	1	crc	crc	PROPN
ejpam-5673	187	2	press	press	PROPN
ejpam-5673	187	3	,	,	PUNCT
ejpam-5673	187	4	boca	boca	PROPN
ejpam-5673	187	5	raton	raton	PROPN
ejpam-5673	187	6	,	,	PUNCT
ejpam-5673	187	7	fl	fl	PROPN
ejpam-5673	187	8	,	,	PUNCT
ejpam-5673	187	9	1992	1992	NUM
ejpam-5673	187	10	.	.	PUNCT
ejpam-5673	188	1	[	[	X
ejpam-5673	188	2	5	5	X
ejpam-5673	188	3	]	]	PUNCT
ejpam-5673	188	4	e.	e.	PROPN
ejpam-5673	188	5	estrada	estrada	PROPN
ejpam-5673	188	6	.	.	PUNCT
ejpam-5673	189	1	graph	graph	NOUN
ejpam-5673	189	2	and	and	CCONJ
ejpam-5673	189	3	network	network	NOUN
ejpam-5673	189	4	theory	theory	NOUN
ejpam-5673	189	5	in	in	ADP
ejpam-5673	189	6	physics	physics	PROPN
ejpam-5673	189	7	:	:	PUNCT
ejpam-5673	189	8	a	a	DET
ejpam-5673	189	9	short	short	ADJ
ejpam-5673	189	10	introduction	introduction	NOUN
ejpam-5673	189	11	.	.	PUNCT
ejpam-5673	190	1	https://arxiv.org/abs/1302.4378	https://arxiv.org/abs/1302.4378	PROPN
ejpam-5673	190	2	,	,	PUNCT
ejpam-5673	190	3	2013	2013	NUM
ejpam-5673	190	4	.	.	PUNCT
ejpam-5673	191	1	[	[	X
ejpam-5673	191	2	6	6	NUM
ejpam-5673	191	3	]	]	PUNCT
ejpam-5673	191	4	w.	w.	PROPN
ejpam-5673	191	5	d.	d.	PROPN
ejpam-5673	191	6	wallis	wallis	PROPN
ejpam-5673	191	7	.	.	PUNCT
ejpam-5673	191	8	magic	magic	ADJ
ejpam-5673	191	9	graphs	graph	NOUN
ejpam-5673	191	10	.	.	PUNCT
ejpam-5673	192	1	birkhäuser	birkhäuser	NOUN
ejpam-5673	192	2	,	,	PUNCT
ejpam-5673	192	3	boston	boston	PROPN
ejpam-5673	192	4	,	,	PUNCT
ejpam-5673	192	5	2001	2001	NUM
ejpam-5673	192	6	.	.	PUNCT
ejpam-5673	193	1	[	[	X
ejpam-5673	193	2	7	7	X
ejpam-5673	193	3	]	]	X
ejpam-5673	193	4	j.	j.	PROPN
ejpam-5673	193	5	a.	a.	PROPN
ejpam-5673	193	6	gallian	gallian	PROPN
ejpam-5673	193	7	.	.	PUNCT
ejpam-5673	194	1	a	a	DET
ejpam-5673	194	2	dynamic	dynamic	ADJ
ejpam-5673	194	3	survey	survey	NOUN
ejpam-5673	194	4	of	of	ADP
ejpam-5673	194	5	graph	graph	NOUN
ejpam-5673	194	6	labeling	labeling	NOUN
ejpam-5673	194	7	.	.	PUNCT
ejpam-5673	195	1	the	the	DET
ejpam-5673	195	2	electronic	electronic	ADJ
ejpam-5673	195	3	journal	journal	NOUN
ejpam-5673	195	4	of	of	ADP
ejpam-5673	195	5	combinatorics	combinatoric	NOUN
ejpam-5673	195	6	,	,	PUNCT
ejpam-5673	195	7	20:1–432	20:1–432	NUM
ejpam-5673	195	8	,	,	PUNCT
ejpam-5673	195	9	2017	2017	NUM
ejpam-5673	195	10	.	.	PUNCT
ejpam-5673	196	1	[	[	X
ejpam-5673	196	2	8	8	NUM
ejpam-5673	196	3	]	]	X
ejpam-5673	196	4	s.	s.	PROPN
ejpam-5673	196	5	zaman	zaman	PROPN
ejpam-5673	196	6	and	and	CCONJ
ejpam-5673	196	7	a.	a.	PROPN
ejpam-5673	196	8	ullah	ullah	PROPN
ejpam-5673	196	9	.	.	PUNCT
ejpam-5673	197	1	kemeny	kemeny	PROPN
ejpam-5673	197	2	’s	’s	PART
ejpam-5673	197	3	constant	constant	ADJ
ejpam-5673	197	4	and	and	CCONJ
ejpam-5673	197	5	global	global	ADJ
ejpam-5673	197	6	mean	mean	PROPN
ejpam-5673	197	7	first	first	ADJ
ejpam-5673	197	8	passage	passage	NOUN
ejpam-5673	197	9	time	time	NOUN
ejpam-5673	197	10	of	of	ADP
ejpam-5673	197	11	random	random	ADJ
ejpam-5673	197	12	walks	walk	NOUN
ejpam-5673	197	13	on	on	ADP
ejpam-5673	197	14	octagonal	octagonal	ADJ
ejpam-5673	197	15	cell	cell	NOUN
ejpam-5673	197	16	network	network	NOUN
ejpam-5673	197	17	.	.	PUNCT
ejpam-5673	198	1	mathematical	mathematical	ADJ
ejpam-5673	198	2	methods	method	NOUN
ejpam-5673	198	3	in	in	ADP
ejpam-5673	198	4	the	the	DET
ejpam-5673	198	5	applied	apply	VERB
ejpam-5673	198	6	sciences	science	NOUN
ejpam-5673	198	7	,	,	PUNCT
ejpam-5673	198	8	46(8):9177–9186	46(8):9177–9186	NOUN
ejpam-5673	198	9	,	,	PUNCT
ejpam-5673	198	10	2023	2023	NUM
ejpam-5673	198	11	.	.	PUNCT
ejpam-5673	199	1	[	[	X
ejpam-5673	199	2	9	9	NUM
ejpam-5673	199	3	]	]	PUNCT
ejpam-5673	199	4	t.	t.	PROPN
ejpam-5673	199	5	yan	yan	PROPN
ejpam-5673	200	1	et	et	PROPN
ejpam-5673	200	2	al	al	PROPN
ejpam-5673	200	3	.	.	PROPN
ejpam-5673	200	4	spectral	spectral	ADJ
ejpam-5673	200	5	techniques	technique	NOUN
ejpam-5673	200	6	and	and	CCONJ
ejpam-5673	200	7	mathematical	mathematical	ADJ
ejpam-5673	200	8	aspects	aspect	NOUN
ejpam-5673	200	9	of	of	ADP
ejpam-5673	200	10	k4	k4	ADJ
ejpam-5673	200	11	chain	chain	NOUN
ejpam-5673	200	12	graph	graph	NOUN
ejpam-5673	200	13	.	.	PUNCT
ejpam-5673	201	1	physica	physica	PROPN
ejpam-5673	201	2	scripta	scripta	PROPN
ejpam-5673	201	3	,	,	PUNCT
ejpam-5673	201	4	98(4):045222	98(4):045222	NUM
ejpam-5673	201	5	,	,	PUNCT
ejpam-5673	201	6	2023	2023	NUM
ejpam-5673	201	7	.	.	PUNCT
ejpam-5673	202	1	[	[	X
ejpam-5673	202	2	10	10	NUM
ejpam-5673	202	3	]	]	X
ejpam-5673	202	4	s.	s.	PROPN
ejpam-5673	202	5	zaman	zaman	PROPN
ejpam-5673	202	6	,	,	PUNCT
ejpam-5673	202	7	m.	m.	PROPN
ejpam-5673	202	8	mustafa	mustafa	PROPN
ejpam-5673	202	9	,	,	PUNCT
ejpam-5673	202	10	a.	a.	PROPN
ejpam-5673	202	11	ullah	ullah	PROPN
ejpam-5673	202	12	,	,	PUNCT
ejpam-5673	202	13	et	et	PROPN
ejpam-5673	202	14	al	al	PROPN
ejpam-5673	202	15	.	.	PROPN
ejpam-5673	202	16	study	study	NOUN
ejpam-5673	202	17	of	of	ADP
ejpam-5673	202	18	mean	mean	ADJ
ejpam-5673	202	19	-	-	PUNCT
ejpam-5673	202	20	first	first	ADJ
ejpam-5673	202	21	-	-	PUNCT
ejpam-5673	202	22	passage	passage	NOUN
ejpam-5673	202	23	time	time	NOUN
ejpam-5673	202	24	and	and	CCONJ
ejpam-5673	202	25	kemeny	kemeny	PROPN
ejpam-5673	202	26	’s	’s	PART
ejpam-5673	202	27	constant	constant	ADJ
ejpam-5673	202	28	of	of	ADP
ejpam-5673	202	29	a	a	DET
ejpam-5673	202	30	random	random	ADJ
ejpam-5673	202	31	walk	walk	NOUN
ejpam-5673	202	32	by	by	ADP
ejpam-5673	202	33	normalized	normalize	VERB
ejpam-5673	202	34	laplacian	laplacian	ADJ
ejpam-5673	202	35	matrices	matrix	NOUN
ejpam-5673	202	36	of	of	ADP
ejpam-5673	202	37	a	a	DET
ejpam-5673	202	38	penta	penta	NOUN
ejpam-5673	202	39	-	-	PUNCT
ejpam-5673	202	40	chain	chain	NOUN
ejpam-5673	202	41	network	network	NOUN
ejpam-5673	202	42	.	.	PUNCT
ejpam-5673	203	1	the	the	DET
ejpam-5673	203	2	european	european	PROPN
ejpam-5673	203	3	physical	physical	PROPN
ejpam-5673	203	4	journal	journal	PROPN
ejpam-5673	203	5	plus	plus	CCONJ
ejpam-5673	203	6	,	,	PUNCT
ejpam-5673	203	7	138(8):770	138(8):770	ADV
ejpam-5673	203	8	,	,	PUNCT
ejpam-5673	203	9	2023	2023	NUM
ejpam-5673	203	10	.	.	PUNCT
ejpam-5673	204	1	h.	h.	PROPN
ejpam-5673	204	2	attiya	attiya	PROPN
ejpam-5673	204	3	,	,	PUNCT
ejpam-5673	204	4	n.	n.	PROPN
ejpam-5673	204	5	ahmed	ahmed	PROPN
ejpam-5673	204	6	,	,	PUNCT
ejpam-5673	204	7	f.	f.	PROPN
ejpam-5673	204	8	salama	salama	PROPN
ejpam-5673	204	9	/	/	SYM
ejpam-5673	204	10	eur	eur	PROPN
ejpam-5673	204	11	.	.	PUNCT
ejpam-5673	205	1	j.	j.	PROPN
ejpam-5673	205	2	pure	pure	PROPN
ejpam-5673	205	3	appl	appl	PROPN
ejpam-5673	205	4	.	.	PROPN
ejpam-5673	205	5	math	math	PROPN
ejpam-5673	205	6	,	,	PUNCT
ejpam-5673	205	7	18	18	NUM
ejpam-5673	205	8	(	(	PUNCT
ejpam-5673	205	9	2	2	NUM
ejpam-5673	205	10	)	)	PUNCT
ejpam-5673	205	11	(	(	PUNCT
ejpam-5673	205	12	2025	2025	NUM
ejpam-5673	205	13	)	)	PUNCT
ejpam-5673	205	14	,	,	PUNCT
ejpam-5673	205	15	5673	5673	NUM
ejpam-5673	205	16	10	10	NUM
ejpam-5673	205	17	of	of	ADP
ejpam-5673	205	18	11	11	NUM
ejpam-5673	206	1	[	[	X
ejpam-5673	206	2	11	11	NUM
ejpam-5673	206	3	]	]	PUNCT
ejpam-5673	206	4	z.	z.	PROPN
ejpam-5673	206	5	kosar	kosar	PROPN
ejpam-5673	206	6	et	et	PROPN
ejpam-5673	206	7	al	al	PROPN
ejpam-5673	206	8	.	.	PUNCT
ejpam-5673	207	1	the	the	DET
ejpam-5673	207	2	number	number	NOUN
ejpam-5673	207	3	of	of	ADP
ejpam-5673	207	4	spanning	span	VERB
ejpam-5673	207	5	trees	tree	NOUN
ejpam-5673	207	6	in	in	ADP
ejpam-5673	207	7	a	a	DET
ejpam-5673	207	8	k5	k5	PROPN
ejpam-5673	207	9	chain	chain	NOUN
ejpam-5673	207	10	graph	graph	NOUN
ejpam-5673	207	11	.	.	PUNCT
ejpam-5673	208	1	physica	physica	PROPN
ejpam-5673	208	2	scripta	scripta	PROPN
ejpam-5673	208	3	,	,	PUNCT
ejpam-5673	208	4	98(12):125239	98(12):125239	NUM
ejpam-5673	208	5	,	,	PUNCT
ejpam-5673	208	6	2023	2023	NUM
ejpam-5673	208	7	.	.	PUNCT
ejpam-5673	209	1	[	[	X
ejpam-5673	209	2	12	12	NUM
ejpam-5673	209	3	]	]	PUNCT
ejpam-5673	209	4	m.	m.	NOUN
ejpam-5673	209	5	bača	bača	PROPN
ejpam-5673	209	6	et	et	PROPN
ejpam-5673	209	7	al	al	PROPN
ejpam-5673	209	8	.	.	PROPN
ejpam-5673	210	1	on	on	ADP
ejpam-5673	210	2	irregular	irregular	ADJ
ejpam-5673	210	3	total	total	ADJ
ejpam-5673	210	4	labellings	labelling	NOUN
ejpam-5673	210	5	.	.	PUNCT
ejpam-5673	211	1	discrete	discrete	ADJ
ejpam-5673	211	2	mathematics	mathematic	NOUN
ejpam-5673	211	3	,	,	PUNCT
ejpam-5673	211	4	307(11	307(11	NUM
ejpam-5673	211	5	-	-	SYM
ejpam-5673	211	6	12):1378	12):1378	NUM
ejpam-5673	211	7	–	–	PUNCT
ejpam-5673	211	8	1388	1388	NUM
ejpam-5673	211	9	,	,	PUNCT
ejpam-5673	211	10	2007	2007	NUM
ejpam-5673	211	11	.	.	PUNCT
ejpam-5673	212	1	[	[	X
ejpam-5673	212	2	13	13	NUM
ejpam-5673	212	3	]	]	PUNCT
ejpam-5673	212	4	j.	j.	PROPN
ejpam-5673	212	5	ivančo	ivančo	PROPN
ejpam-5673	212	6	and	and	CCONJ
ejpam-5673	212	7	s.	s.	PROPN
ejpam-5673	212	8	jendrôı	jendrôı	PROPN
ejpam-5673	212	9	.	.	PUNCT
ejpam-5673	212	10	total	total	ADJ
ejpam-5673	212	11	edge	edge	NOUN
ejpam-5673	212	12	irregularity	irregularity	NOUN
ejpam-5673	212	13	strength	strength	NOUN
ejpam-5673	212	14	of	of	ADP
ejpam-5673	212	15	trees	tree	NOUN
ejpam-5673	212	16	.	.	PUNCT
ejpam-5673	213	1	discussiones	discussione	NOUN
ejpam-5673	213	2	mathematicae	mathematicae	PROPN
ejpam-5673	213	3	graph	graph	NOUN
ejpam-5673	213	4	theory	theory	NOUN
ejpam-5673	213	5	,	,	PUNCT
ejpam-5673	213	6	26(3):449–456	26(3):449–456	NOUN
ejpam-5673	213	7	,	,	PUNCT
ejpam-5673	213	8	2006	2006	NUM
ejpam-5673	213	9	.	.	PUNCT
ejpam-5673	214	1	[	[	X
ejpam-5673	214	2	14	14	NUM
ejpam-5673	214	3	]	]	PUNCT
ejpam-5673	214	4	a.	a.	NOUN
ejpam-5673	214	5	ahmad	ahmad	PROPN
ejpam-5673	214	6	,	,	PUNCT
ejpam-5673	214	7	m.	m.	PROPN
ejpam-5673	214	8	k.	k.	PROPN
ejpam-5673	214	9	siddiqui	siddiqui	PROPN
ejpam-5673	214	10	,	,	PUNCT
ejpam-5673	214	11	and	and	CCONJ
ejpam-5673	214	12	d.	d.	PROPN
ejpam-5673	214	13	afzal	afzal	PROPN
ejpam-5673	214	14	.	.	PUNCT
ejpam-5673	215	1	on	on	ADP
ejpam-5673	215	2	the	the	DET
ejpam-5673	215	3	total	total	ADJ
ejpam-5673	215	4	edge	edge	NOUN
ejpam-5673	215	5	irregularity	irregularity	NOUN
ejpam-5673	215	6	strength	strength	NOUN
ejpam-5673	215	7	of	of	ADP
ejpam-5673	215	8	zigzag	zigzag	NOUN
ejpam-5673	215	9	graphs	graph	NOUN
ejpam-5673	215	10	.	.	PUNCT
ejpam-5673	216	1	australasian	australasian	ADJ
ejpam-5673	216	2	journal	journal	NOUN
ejpam-5673	216	3	of	of	ADP
ejpam-5673	216	4	combinatorics	combinatoric	NOUN
ejpam-5673	216	5	,	,	PUNCT
ejpam-5673	216	6	54:141–149	54:141–149	NUM
ejpam-5673	216	7	,	,	PUNCT
ejpam-5673	216	8	2012	2012	NUM
ejpam-5673	216	9	.	.	PUNCT
ejpam-5673	217	1	[	[	X
ejpam-5673	217	2	15	15	NUM
ejpam-5673	217	3	]	]	X
ejpam-5673	217	4	a.	a.	NOUN
ejpam-5673	217	5	ahmad	ahmad	PROPN
ejpam-5673	217	6	,	,	PUNCT
ejpam-5673	217	7	m.	m.	PROPN
ejpam-5673	217	8	arshad	arshad	PROPN
ejpam-5673	217	9	,	,	PUNCT
ejpam-5673	217	10	and	and	CCONJ
ejpam-5673	217	11	g.	g.	PROPN
ejpam-5673	217	12	ižaŕıková.	ižaŕıková.	VERB
ejpam-5673	217	13	irregular	irregular	ADJ
ejpam-5673	217	14	labelings	labeling	NOUN
ejpam-5673	217	15	of	of	ADP
ejpam-5673	217	16	helm	helm	NOUN
ejpam-5673	217	17	and	and	CCONJ
ejpam-5673	217	18	sun	sun	NOUN
ejpam-5673	217	19	graphs	graph	NOUN
ejpam-5673	217	20	.	.	PUNCT
ejpam-5673	218	1	akce	akce	PROPN
ejpam-5673	218	2	international	international	PROPN
ejpam-5673	218	3	journal	journal	NOUN
ejpam-5673	218	4	of	of	ADP
ejpam-5673	218	5	graphs	graph	NOUN
ejpam-5673	218	6	and	and	CCONJ
ejpam-5673	218	7	combinatorics	combinatoric	NOUN
ejpam-5673	218	8	,	,	PUNCT
ejpam-5673	218	9	12(2	12(2	PROPN
ejpam-5673	218	10	-	-	SYM
ejpam-5673	218	11	3):161–168	3):161–168	NUM
ejpam-5673	218	12	,	,	PUNCT
ejpam-5673	218	13	2015	2015	NUM
ejpam-5673	218	14	.	.	PUNCT
ejpam-5673	219	1	[	[	X
ejpam-5673	219	2	16	16	NUM
ejpam-5673	219	3	]	]	PUNCT
ejpam-5673	219	4	a.	a.	NOUN
ejpam-5673	219	5	ahmad	ahmad	PROPN
ejpam-5673	219	6	,	,	PUNCT
ejpam-5673	219	7	m.	m.	NOUN
ejpam-5673	219	8	bača	bača	PROPN
ejpam-5673	219	9	,	,	PUNCT
ejpam-5673	219	10	and	and	CCONJ
ejpam-5673	219	11	m.	m.	PROPN
ejpam-5673	219	12	k.	k.	PROPN
ejpam-5673	219	13	siddiqui	siddiqui	PROPN
ejpam-5673	219	14	.	.	PUNCT
ejpam-5673	220	1	on	on	ADP
ejpam-5673	220	2	edge	edge	VERB
ejpam-5673	220	3	irregular	irregular	ADJ
ejpam-5673	220	4	total	total	ADJ
ejpam-5673	220	5	labeling	labeling	NOUN
ejpam-5673	220	6	of	of	ADP
ejpam-5673	220	7	categorical	categorical	ADJ
ejpam-5673	220	8	product	product	NOUN
ejpam-5673	220	9	of	of	ADP
ejpam-5673	220	10	two	two	NUM
ejpam-5673	220	11	cycles	cycle	NOUN
ejpam-5673	220	12	.	.	PUNCT
ejpam-5673	221	1	theory	theory	NOUN
ejpam-5673	221	2	of	of	ADP
ejpam-5673	221	3	computing	computing	NOUN
ejpam-5673	221	4	systems	system	NOUN
ejpam-5673	221	5	,	,	PUNCT
ejpam-5673	221	6	54(1):1–12	54(1):1–12	NUM
ejpam-5673	221	7	,	,	PUNCT
ejpam-5673	221	8	2014	2014	NUM
ejpam-5673	221	9	.	.	PUNCT
ejpam-5673	222	1	[	[	X
ejpam-5673	222	2	17	17	NUM
ejpam-5673	222	3	]	]	PUNCT
ejpam-5673	222	4	a.	a.	NOUN
ejpam-5673	222	5	ahmad	ahmad	PROPN
ejpam-5673	222	6	and	and	CCONJ
ejpam-5673	222	7	m.	m.	NOUN
ejpam-5673	222	8	bača	bača	PROPN
ejpam-5673	222	9	.	.	PUNCT
ejpam-5673	223	1	total	total	ADJ
ejpam-5673	223	2	edge	edge	NOUN
ejpam-5673	223	3	irregularity	irregularity	NOUN
ejpam-5673	223	4	strength	strength	NOUN
ejpam-5673	223	5	of	of	ADP
ejpam-5673	223	6	a	a	DET
ejpam-5673	223	7	categorical	categorical	ADJ
ejpam-5673	223	8	product	product	NOUN
ejpam-5673	223	9	of	of	ADP
ejpam-5673	223	10	two	two	NUM
ejpam-5673	223	11	paths	path	NOUN
ejpam-5673	223	12	.	.	PUNCT
ejpam-5673	224	1	ars	ars	PROPN
ejpam-5673	224	2	combinatoria	combinatoria	PROPN
ejpam-5673	224	3	,	,	PUNCT
ejpam-5673	224	4	114:203–212	114:203–212	NUM
ejpam-5673	224	5	,	,	PUNCT
ejpam-5673	224	6	2014	2014	NUM
ejpam-5673	224	7	.	.	PUNCT
ejpam-5673	225	1	[	[	X
ejpam-5673	225	2	18	18	NUM
ejpam-5673	225	3	]	]	PUNCT
ejpam-5673	225	4	a.	a.	NOUN
ejpam-5673	225	5	ahmad	ahmad	PROPN
ejpam-5673	225	6	,	,	PUNCT
ejpam-5673	225	7	o.	o.	PROPN
ejpam-5673	225	8	b.	b.	PROPN
ejpam-5673	225	9	s.	s.	PROPN
ejpam-5673	225	10	al	al	PROPN
ejpam-5673	225	11	-	-	PUNCT
ejpam-5673	225	12	mushayt	mushayt	ADJ
ejpam-5673	225	13	,	,	PUNCT
ejpam-5673	225	14	and	and	CCONJ
ejpam-5673	225	15	m.	m.	NOUN
ejpam-5673	225	16	bača	bača	PROPN
ejpam-5673	225	17	.	.	PUNCT
ejpam-5673	226	1	on	on	ADP
ejpam-5673	226	2	edge	edge	NOUN
ejpam-5673	226	3	irregularity	irregularity	NOUN
ejpam-5673	226	4	strength	strength	NOUN
ejpam-5673	226	5	of	of	ADP
ejpam-5673	226	6	graphs	graph	NOUN
ejpam-5673	226	7	.	.	PUNCT
ejpam-5673	227	1	applied	apply	VERB
ejpam-5673	227	2	mathematics	mathematic	NOUN
ejpam-5673	227	3	and	and	CCONJ
ejpam-5673	227	4	computation	computation	NOUN
ejpam-5673	227	5	,	,	PUNCT
ejpam-5673	227	6	243:607–610	243:607–610	NUM
ejpam-5673	227	7	,	,	PUNCT
ejpam-5673	227	8	2014	2014	NUM
ejpam-5673	227	9	.	.	PUNCT
ejpam-5673	228	1	[	[	X
ejpam-5673	228	2	19	19	NUM
ejpam-5673	228	3	]	]	PUNCT
ejpam-5673	228	4	a.	a.	NOUN
ejpam-5673	228	5	ahmad	ahmad	PROPN
ejpam-5673	228	6	et	et	PROPN
ejpam-5673	228	7	al	al	PROPN
ejpam-5673	228	8	.	.	PROPN
ejpam-5673	229	1	on	on	ADP
ejpam-5673	229	2	the	the	DET
ejpam-5673	229	3	total	total	ADJ
ejpam-5673	229	4	irregularity	irregularity	NOUN
ejpam-5673	229	5	strength	strength	NOUN
ejpam-5673	229	6	of	of	ADP
ejpam-5673	229	7	generalized	generalized	ADJ
ejpam-5673	229	8	petersen	petersen	NOUN
ejpam-5673	229	9	graph	graph	NOUN
ejpam-5673	229	10	.	.	PUNCT
ejpam-5673	230	1	mathematical	mathematical	ADJ
ejpam-5673	230	2	reports	report	NOUN
ejpam-5673	230	3	,	,	PUNCT
ejpam-5673	230	4	18(2):197–204	18(2):197–204	NUM
ejpam-5673	230	5	,	,	PUNCT
ejpam-5673	230	6	2016	2016	NUM
ejpam-5673	230	7	.	.	PUNCT
ejpam-5673	231	1	[	[	X
ejpam-5673	231	2	20	20	NUM
ejpam-5673	231	3	]	]	PUNCT
ejpam-5673	231	4	a.	a.	NOUN
ejpam-5673	231	5	ahmad	ahmad	PROPN
ejpam-5673	231	6	and	and	CCONJ
ejpam-5673	231	7	m.	m.	NOUN
ejpam-5673	231	8	bača	bača	PROPN
ejpam-5673	231	9	.	.	PUNCT
ejpam-5673	232	1	edge	edge	VERB
ejpam-5673	232	2	irregular	irregular	ADJ
ejpam-5673	232	3	total	total	ADJ
ejpam-5673	232	4	labeling	labeling	NOUN
ejpam-5673	232	5	of	of	ADP
ejpam-5673	232	6	certain	certain	ADJ
ejpam-5673	232	7	family	family	NOUN
ejpam-5673	232	8	of	of	ADP
ejpam-5673	232	9	graphs	graph	NOUN
ejpam-5673	232	10	.	.	PUNCT
ejpam-5673	233	1	akce	akce	PROPN
ejpam-5673	233	2	international	international	PROPN
ejpam-5673	233	3	journal	journal	NOUN
ejpam-5673	233	4	of	of	ADP
ejpam-5673	233	5	graphs	graph	NOUN
ejpam-5673	233	6	and	and	CCONJ
ejpam-5673	233	7	combinatorics	combinatoric	NOUN
ejpam-5673	233	8	,	,	PUNCT
ejpam-5673	233	9	6(1):21–29	6(1):21–29	NUM
ejpam-5673	233	10	,	,	PUNCT
ejpam-5673	233	11	2009	2009	NUM
ejpam-5673	233	12	.	.	PUNCT
ejpam-5673	234	1	[	[	X
ejpam-5673	234	2	21	21	NUM
ejpam-5673	234	3	]	]	X
ejpam-5673	234	4	o.	o.	PROPN
ejpam-5673	234	5	al	al	PROPN
ejpam-5673	234	6	-	-	PUNCT
ejpam-5673	234	7	mushayt	mushayt	PROPN
ejpam-5673	234	8	,	,	PUNCT
ejpam-5673	234	9	a.	a.	NOUN
ejpam-5673	234	10	ahmad	ahmad	PROPN
ejpam-5673	234	11	,	,	PUNCT
ejpam-5673	234	12	and	and	CCONJ
ejpam-5673	234	13	m.	m.	PROPN
ejpam-5673	234	14	k.	k.	PROPN
ejpam-5673	234	15	siddiqui	siddiqui	PROPN
ejpam-5673	234	16	.	.	PUNCT
ejpam-5673	235	1	on	on	ADP
ejpam-5673	235	2	the	the	DET
ejpam-5673	235	3	total	total	ADJ
ejpam-5673	235	4	edge	edge	NOUN
ejpam-5673	235	5	irregularity	irregularity	NOUN
ejpam-5673	235	6	strength	strength	NOUN
ejpam-5673	235	7	of	of	ADP
ejpam-5673	235	8	hexagonal	hexagonal	ADJ
ejpam-5673	235	9	grid	grid	NOUN
ejpam-5673	235	10	graphs	graph	NOUN
ejpam-5673	235	11	.	.	PUNCT
ejpam-5673	236	1	australasian	australasian	ADJ
ejpam-5673	236	2	journal	journal	NOUN
ejpam-5673	236	3	of	of	ADP
ejpam-5673	236	4	combinatorics	combinatoric	NOUN
ejpam-5673	236	5	,	,	PUNCT
ejpam-5673	236	6	53:263	53:263	NUM
ejpam-5673	236	7	–	–	PUNCT
ejpam-5673	236	8	271	271	NUM
ejpam-5673	236	9	,	,	PUNCT
ejpam-5673	236	10	2012	2012	NUM
ejpam-5673	236	11	.	.	PUNCT
ejpam-5673	237	1	[	[	X
ejpam-5673	237	2	22	22	NUM
ejpam-5673	237	3	]	]	PUNCT
ejpam-5673	237	4	h.	h.	PROPN
ejpam-5673	237	5	yang	yang	PROPN
ejpam-5673	237	6	et	et	PROPN
ejpam-5673	237	7	al	al	PROPN
ejpam-5673	237	8	.	.	PUNCT
ejpam-5673	238	1	computing	compute	VERB
ejpam-5673	238	2	the	the	DET
ejpam-5673	238	3	irregularity	irregularity	NOUN
ejpam-5673	238	4	strength	strength	NOUN
ejpam-5673	238	5	of	of	ADP
ejpam-5673	238	6	planar	planar	ADJ
ejpam-5673	238	7	graphs	graph	NOUN
ejpam-5673	238	8	.	.	PUNCT
ejpam-5673	239	1	mathematics	mathematic	NOUN
ejpam-5673	239	2	,	,	PUNCT
ejpam-5673	239	3	6(9):150	6(9):150	NUM
ejpam-5673	239	4	,	,	PUNCT
ejpam-5673	239	5	2018	2018	NUM
ejpam-5673	239	6	.	.	PUNCT
ejpam-5673	240	1	[	[	X
ejpam-5673	240	2	23	23	NUM
ejpam-5673	240	3	]	]	X
ejpam-5673	240	4	i.	i.	PROPN
ejpam-5673	240	5	tarawneh	tarawneh	PROPN
ejpam-5673	240	6	et	et	PROPN
ejpam-5673	240	7	al	al	PROPN
ejpam-5673	240	8	.	.	PROPN
ejpam-5673	241	1	on	on	ADP
ejpam-5673	241	2	the	the	DET
ejpam-5673	241	3	edge	edge	NOUN
ejpam-5673	241	4	irregularity	irregularity	NOUN
ejpam-5673	241	5	strength	strength	NOUN
ejpam-5673	241	6	for	for	ADP
ejpam-5673	241	7	some	some	DET
ejpam-5673	241	8	classes	class	NOUN
ejpam-5673	241	9	of	of	ADP
ejpam-5673	241	10	plane	plane	NOUN
ejpam-5673	241	11	graphs	graph	NOUN
ejpam-5673	241	12	.	.	PUNCT
ejpam-5673	242	1	aims	aim	VERB
ejpam-5673	242	2	mathematics	mathematic	NOUN
ejpam-5673	242	3	,	,	PUNCT
ejpam-5673	242	4	6(3):2724–2731	6(3):2724–2731	PROPN
ejpam-5673	242	5	,	,	PUNCT
ejpam-5673	242	6	2021	2021	NUM
ejpam-5673	242	7	.	.	PUNCT
ejpam-5673	243	1	[	[	X
ejpam-5673	243	2	24	24	NUM
ejpam-5673	243	3	]	]	PUNCT
ejpam-5673	243	4	m.	m.	NOUN
ejpam-5673	243	5	i.	i.	PROPN
ejpam-5673	243	6	tilukay	tilukay	PROPN
ejpam-5673	243	7	et	et	PROPN
ejpam-5673	243	8	al	al	PROPN
ejpam-5673	243	9	.	.	PROPN
ejpam-5673	244	1	on	on	ADP
ejpam-5673	244	2	the	the	DET
ejpam-5673	244	3	total	total	ADJ
ejpam-5673	244	4	irregularity	irregularity	NOUN
ejpam-5673	244	5	strength	strength	NOUN
ejpam-5673	244	6	of	of	ADP
ejpam-5673	244	7	fan	fan	PROPN
ejpam-5673	244	8	,	,	PUNCT
ejpam-5673	244	9	wheel	wheel	NOUN
ejpam-5673	244	10	,	,	PUNCT
ejpam-5673	244	11	triangular	triangular	NOUN
ejpam-5673	244	12	book	book	NOUN
ejpam-5673	244	13	,	,	PUNCT
ejpam-5673	244	14	and	and	CCONJ
ejpam-5673	244	15	friendship	friendship	NOUN
ejpam-5673	244	16	graphs	graph	NOUN
ejpam-5673	244	17	.	.	PUNCT
ejpam-5673	245	1	procedia	procedia	PROPN
ejpam-5673	245	2	computer	computer	NOUN
ejpam-5673	245	3	science	science	NOUN
ejpam-5673	245	4	,	,	PUNCT
ejpam-5673	245	5	74:124–131	74:124–131	PROPN
ejpam-5673	245	6	,	,	PUNCT
ejpam-5673	245	7	2015	2015	NUM
ejpam-5673	245	8	.	.	PUNCT
ejpam-5673	246	1	[	[	X
ejpam-5673	246	2	25	25	NUM
ejpam-5673	246	3	]	]	PUNCT
ejpam-5673	246	4	m.	m.	NOUN
ejpam-5673	246	5	k.	k.	PROPN
ejpam-5673	246	6	siddiqui	siddiqui	PROPN
ejpam-5673	246	7	.	.	PUNCT
ejpam-5673	247	1	on	on	ADP
ejpam-5673	247	2	edge	edge	NOUN
ejpam-5673	247	3	irregularity	irregularity	NOUN
ejpam-5673	247	4	strength	strength	NOUN
ejpam-5673	247	5	of	of	ADP
ejpam-5673	247	6	subdivision	subdivision	NOUN
ejpam-5673	247	7	of	of	ADP
ejpam-5673	247	8	star	star	NOUN
ejpam-5673	247	9	.	.	PUNCT
ejpam-5673	248	1	international	international	ADJ
ejpam-5673	248	2	journal	journal	PROPN
ejpam-5673	248	3	of	of	ADP
ejpam-5673	248	4	mathematics	mathematic	NOUN
ejpam-5673	248	5	and	and	CCONJ
ejpam-5673	248	6	soft	soft	ADJ
ejpam-5673	248	7	computing	computing	NOUN
ejpam-5673	248	8	,	,	PUNCT
ejpam-5673	248	9	2(1):75–82	2(1):75–82	NUM
ejpam-5673	248	10	,	,	PUNCT
ejpam-5673	248	11	2012	2012	NUM
ejpam-5673	248	12	.	.	PUNCT
ejpam-5673	249	1	[	[	X
ejpam-5673	249	2	26	26	NUM
ejpam-5673	249	3	]	]	X
ejpam-5673	249	4	r.	r.	PROPN
ejpam-5673	249	5	ramdani	ramdani	PROPN
ejpam-5673	249	6	and	and	CCONJ
ejpam-5673	249	7	a.	a.	PROPN
ejpam-5673	249	8	n.	n.	PROPN
ejpam-5673	249	9	m.	m.	PROPN
ejpam-5673	249	10	salman	salman	PROPN
ejpam-5673	249	11	.	.	PUNCT
ejpam-5673	250	1	on	on	ADP
ejpam-5673	250	2	the	the	DET
ejpam-5673	250	3	total	total	ADJ
ejpam-5673	250	4	irregularity	irregularity	NOUN
ejpam-5673	250	5	strength	strength	NOUN
ejpam-5673	250	6	of	of	ADP
ejpam-5673	250	7	some	some	DET
ejpam-5673	250	8	cartesian	cartesian	ADJ
ejpam-5673	250	9	product	product	NOUN
ejpam-5673	250	10	graphs	graph	NOUN
ejpam-5673	250	11	.	.	PUNCT
ejpam-5673	251	1	akce	akce	PROPN
ejpam-5673	251	2	international	international	PROPN
ejpam-5673	251	3	journal	journal	NOUN
ejpam-5673	251	4	of	of	ADP
ejpam-5673	251	5	graphs	graph	NOUN
ejpam-5673	251	6	and	and	CCONJ
ejpam-5673	251	7	combinatorics	combinatoric	NOUN
ejpam-5673	251	8	,	,	PUNCT
ejpam-5673	251	9	10(2):199–209	10(2):199–209	NUM
ejpam-5673	251	10	,	,	PUNCT
ejpam-5673	251	11	2013	2013	NUM
ejpam-5673	251	12	.	.	PUNCT
ejpam-5673	252	1	[	[	X
ejpam-5673	252	2	27	27	NUM
ejpam-5673	252	3	]	]	X
ejpam-5673	252	4	d.	d.	PROPN
ejpam-5673	252	5	amar	amar	PROPN
ejpam-5673	252	6	and	and	CCONJ
ejpam-5673	252	7	o.	o.	PROPN
ejpam-5673	252	8	togni	togni	PROPN
ejpam-5673	252	9	.	.	PUNCT
ejpam-5673	253	1	irregularity	irregularity	NOUN
ejpam-5673	253	2	strength	strength	NOUN
ejpam-5673	253	3	of	of	ADP
ejpam-5673	253	4	trees	tree	NOUN
ejpam-5673	253	5	.	.	PUNCT
ejpam-5673	254	1	discrete	discrete	ADJ
ejpam-5673	254	2	mathematics	mathematic	NOUN
ejpam-5673	254	3	,	,	PUNCT
ejpam-5673	254	4	190(13):15–38	190(13):15–38	NUM
ejpam-5673	254	5	,	,	PUNCT
ejpam-5673	254	6	1998	1998	NUM
ejpam-5673	254	7	.	.	PUNCT
ejpam-5673	255	1	[	[	X
ejpam-5673	255	2	28	28	NUM
ejpam-5673	255	3	]	]	X
ejpam-5673	255	4	d.	d.	PROPN
ejpam-5673	255	5	indriati	indriati	PROPN
ejpam-5673	255	6	et	et	PROPN
ejpam-5673	255	7	al	al	PROPN
ejpam-5673	255	8	.	.	PROPN
ejpam-5673	256	1	on	on	ADP
ejpam-5673	256	2	total	total	ADJ
ejpam-5673	256	3	edge	edge	NOUN
ejpam-5673	256	4	irregularity	irregularity	NOUN
ejpam-5673	256	5	strength	strength	NOUN
ejpam-5673	256	6	of	of	ADP
ejpam-5673	256	7	generalized	generalized	ADJ
ejpam-5673	256	8	web	web	NOUN
ejpam-5673	256	9	graphs	graph	NOUN
ejpam-5673	256	10	and	and	CCONJ
ejpam-5673	256	11	related	related	ADJ
ejpam-5673	256	12	graphs	graph	NOUN
ejpam-5673	256	13	.	.	PUNCT
ejpam-5673	257	1	mathematics	mathematic	NOUN
ejpam-5673	257	2	in	in	ADP
ejpam-5673	257	3	computer	computer	NOUN
ejpam-5673	257	4	science	science	NOUN
ejpam-5673	257	5	,	,	PUNCT
ejpam-5673	257	6	9(2):161–167	9(2):161–167	NUM
ejpam-5673	257	7	,	,	PUNCT
ejpam-5673	257	8	2015	2015	NUM
ejpam-5673	257	9	.	.	PUNCT
ejpam-5673	258	1	[	[	X
ejpam-5673	258	2	29	29	NUM
ejpam-5673	258	3	]	]	PUNCT
ejpam-5673	258	4	m.	m.	NOUN
ejpam-5673	258	5	bača	bača	PROPN
ejpam-5673	258	6	and	and	CCONJ
ejpam-5673	258	7	m.	m.	PROPN
ejpam-5673	258	8	k.	k.	PROPN
ejpam-5673	258	9	siddiqui	siddiqui	PROPN
ejpam-5673	258	10	.	.	PUNCT
ejpam-5673	259	1	total	total	ADJ
ejpam-5673	259	2	edge	edge	NOUN
ejpam-5673	259	3	irregularity	irregularity	NOUN
ejpam-5673	259	4	strength	strength	NOUN
ejpam-5673	259	5	of	of	ADP
ejpam-5673	259	6	generalized	generalized	ADJ
ejpam-5673	259	7	prism	prism	NOUN
ejpam-5673	259	8	.	.	PUNCT
ejpam-5673	260	1	applied	apply	VERB
ejpam-5673	260	2	mathematics	mathematic	NOUN
ejpam-5673	260	3	and	and	CCONJ
ejpam-5673	260	4	computation	computation	NOUN
ejpam-5673	260	5	,	,	PUNCT
ejpam-5673	260	6	235:168–173	235:168–173	NUM
ejpam-5673	260	7	,	,	PUNCT
ejpam-5673	260	8	2014	2014	NUM
ejpam-5673	260	9	.	.	PUNCT
ejpam-5673	261	1	[	[	X
ejpam-5673	261	2	30	30	NUM
ejpam-5673	261	3	]	]	X
ejpam-5673	261	4	s.	s.	PROPN
ejpam-5673	261	5	jendrôı	jendrôı	PROPN
ejpam-5673	261	6	,	,	PUNCT
ejpam-5673	261	7	j.	j.	PROPN
ejpam-5673	261	8	mǐskuf	mǐskuf	PROPN
ejpam-5673	261	9	,	,	PUNCT
ejpam-5673	261	10	and	and	CCONJ
ejpam-5673	261	11	r.	r.	PROPN
ejpam-5673	261	12	soták	soták	PROPN
ejpam-5673	261	13	.	.	PUNCT
ejpam-5673	262	1	total	total	ADJ
ejpam-5673	262	2	edge	edge	NOUN
ejpam-5673	262	3	irregularity	irregularity	NOUN
ejpam-5673	262	4	strength	strength	NOUN
ejpam-5673	262	5	of	of	ADP
ejpam-5673	262	6	complete	complete	ADJ
ejpam-5673	262	7	graph	graph	NOUN
ejpam-5673	262	8	and	and	CCONJ
ejpam-5673	262	9	complete	complete	ADJ
ejpam-5673	262	10	bipartite	bipartite	NOUN
ejpam-5673	262	11	graphs	graph	NOUN
ejpam-5673	262	12	.	.	PUNCT
ejpam-5673	263	1	electronic	electronic	ADJ
ejpam-5673	263	2	notes	note	NOUN
ejpam-5673	263	3	in	in	ADP
ejpam-5673	263	4	discrete	discrete	ADJ
ejpam-5673	263	5	mathematics	mathematic	NOUN
ejpam-5673	263	6	,	,	PUNCT
ejpam-5673	263	7	28:281–285	28:281–285	PROPN
ejpam-5673	263	8	,	,	PUNCT
ejpam-5673	263	9	2007	2007	NUM
ejpam-5673	263	10	.	.	PUNCT
ejpam-5673	264	1	h.	h.	PROPN
ejpam-5673	264	2	attiya	attiya	PROPN
ejpam-5673	264	3	,	,	PUNCT
ejpam-5673	264	4	n.	n.	PROPN
ejpam-5673	264	5	ahmed	ahmed	PROPN
ejpam-5673	264	6	,	,	PUNCT
ejpam-5673	264	7	f.	f.	PROPN
ejpam-5673	264	8	salama	salama	PROPN
ejpam-5673	264	9	/	/	SYM
ejpam-5673	264	10	eur	eur	PROPN
ejpam-5673	264	11	.	.	PUNCT
ejpam-5673	265	1	j.	j.	PROPN
ejpam-5673	265	2	pure	pure	PROPN
ejpam-5673	265	3	appl	appl	PROPN
ejpam-5673	265	4	.	.	PROPN
ejpam-5673	265	5	math	math	PROPN
ejpam-5673	265	6	,	,	PUNCT
ejpam-5673	265	7	18	18	NUM
ejpam-5673	265	8	(	(	PUNCT
ejpam-5673	265	9	2	2	NUM
ejpam-5673	265	10	)	)	PUNCT
ejpam-5673	265	11	(	(	PUNCT
ejpam-5673	265	12	2025	2025	NUM
ejpam-5673	265	13	)	)	PUNCT
ejpam-5673	265	14	,	,	PUNCT
ejpam-5673	265	15	5673	5673	NUM
ejpam-5673	265	16	11	11	NUM
ejpam-5673	265	17	of	of	ADP
ejpam-5673	265	18	11	11	NUM
ejpam-5673	266	1	[	[	X
ejpam-5673	266	2	31	31	NUM
ejpam-5673	266	3	]	]	PUNCT
ejpam-5673	266	4	p.	p.	NOUN
ejpam-5673	266	5	jeyanthi	jeyanthi	NOUN
ejpam-5673	266	6	and	and	CCONJ
ejpam-5673	266	7	a.	a.	NOUN
ejpam-5673	266	8	sudha	sudha	PROPN
ejpam-5673	266	9	.	.	PUNCT
ejpam-5673	267	1	total	total	ADJ
ejpam-5673	267	2	edge	edge	NOUN
ejpam-5673	267	3	irregularity	irregularity	NOUN
ejpam-5673	267	4	strength	strength	NOUN
ejpam-5673	267	5	of	of	ADP
ejpam-5673	267	6	disjoint	disjoint	PROPN
ejpam-5673	267	7	union	union	NOUN
ejpam-5673	267	8	of	of	ADP
ejpam-5673	267	9	wheel	wheel	NOUN
ejpam-5673	267	10	graphs	graph	NOUN
ejpam-5673	267	11	.	.	PUNCT
ejpam-5673	268	1	electronic	electronic	ADJ
ejpam-5673	268	2	notes	note	NOUN
ejpam-5673	268	3	in	in	ADP
ejpam-5673	268	4	discrete	discrete	ADJ
ejpam-5673	268	5	mathematics	mathematic	NOUN
ejpam-5673	268	6	,	,	PUNCT
ejpam-5673	268	7	48:175–182	48:175–182	PROPN
ejpam-5673	268	8	,	,	PUNCT
ejpam-5673	268	9	2015	2015	NUM
ejpam-5673	268	10	.	.	PUNCT
ejpam-5673	269	1	[	[	X
ejpam-5673	269	2	32	32	NUM
ejpam-5673	269	3	]	]	PUNCT
ejpam-5673	269	4	p.	p.	NOUN
ejpam-5673	269	5	majerski	majerski	PROPN
ejpam-5673	269	6	and	and	CCONJ
ejpam-5673	269	7	j.	j.	PROPN
ejpam-5673	269	8	przyby	przyby	PROPN
ejpam-5673	269	9	lo	lo	PROPN
ejpam-5673	269	10	.	.	PUNCT
ejpam-5673	270	1	on	on	ADP
ejpam-5673	270	2	the	the	DET
ejpam-5673	270	3	irregularity	irregularity	NOUN
ejpam-5673	270	4	strength	strength	NOUN
ejpam-5673	270	5	of	of	ADP
ejpam-5673	270	6	dense	dense	ADJ
ejpam-5673	270	7	graphs	graph	NOUN
ejpam-5673	270	8	.	.	PUNCT
ejpam-5673	271	1	siam	siam	PROPN
ejpam-5673	271	2	journal	journal	PROPN
ejpam-5673	271	3	on	on	ADP
ejpam-5673	271	4	discrete	discrete	ADJ
ejpam-5673	271	5	mathematics	mathematic	NOUN
ejpam-5673	271	6	,	,	PUNCT
ejpam-5673	271	7	28(1):197–205	28(1):197–205	PROPN
ejpam-5673	271	8	,	,	PUNCT
ejpam-5673	271	9	2014	2014	NUM
ejpam-5673	271	10	.	.	PUNCT
ejpam-5673	272	1	[	[	X
ejpam-5673	272	2	33	33	NUM
ejpam-5673	272	3	]	]	X
ejpam-5673	272	4	j.	j.	PROPN
ejpam-5673	272	5	mǐskuf	mǐskuf	PROPN
ejpam-5673	272	6	and	and	CCONJ
ejpam-5673	272	7	s.	s.	PROPN
ejpam-5673	272	8	jendrôı	jendrôı	PROPN
ejpam-5673	272	9	.	.	PUNCT
ejpam-5673	273	1	on	on	ADP
ejpam-5673	273	2	total	total	ADJ
ejpam-5673	273	3	edge	edge	NOUN
ejpam-5673	273	4	irregularity	irregularity	NOUN
ejpam-5673	273	5	strength	strength	NOUN
ejpam-5673	273	6	of	of	ADP
ejpam-5673	273	7	the	the	DET
ejpam-5673	273	8	grids	grid	NOUN
ejpam-5673	273	9	.	.	PUNCT
ejpam-5673	274	1	tatra	tatra	PROPN
ejpam-5673	274	2	mountains	mountains	PROPN
ejpam-5673	274	3	mathematical	mathematical	ADJ
ejpam-5673	274	4	publications	publication	NOUN
ejpam-5673	274	5	,	,	PUNCT
ejpam-5673	274	6	36(1):147–151	36(1):147–151	PROPN
ejpam-5673	274	7	,	,	PUNCT
ejpam-5673	274	8	2007	2007	NUM
ejpam-5673	274	9	.	.	PUNCT
ejpam-5673	275	1	[	[	X
ejpam-5673	275	2	34	34	NUM
ejpam-5673	275	3	]	]	PUNCT
ejpam-5673	275	4	m.	m.	NOUN
ejpam-5673	275	5	naeem	naeem	PROPN
ejpam-5673	275	6	and	and	CCONJ
ejpam-5673	275	7	m.	m.	PROPN
ejpam-5673	275	8	k.	k.	PROPN
ejpam-5673	275	9	siddiqui	siddiqui	PROPN
ejpam-5673	275	10	.	.	PUNCT
ejpam-5673	276	1	total	total	ADJ
ejpam-5673	276	2	irregularity	irregularity	NOUN
ejpam-5673	276	3	strength	strength	NOUN
ejpam-5673	276	4	of	of	ADP
ejpam-5673	276	5	disjoint	disjoint	NOUN
ejpam-5673	276	6	union	union	NOUN
ejpam-5673	276	7	of	of	ADP
ejpam-5673	276	8	isomorphic	isomorphic	ADJ
ejpam-5673	276	9	copies	copy	NOUN
ejpam-5673	276	10	of	of	ADP
ejpam-5673	276	11	generalized	generalized	ADJ
ejpam-5673	276	12	petersen	petersen	NOUN
ejpam-5673	276	13	graph	graph	NOUN
ejpam-5673	276	14	.	.	PUNCT
ejpam-5673	277	1	discrete	discrete	ADJ
ejpam-5673	277	2	mathematics	mathematic	NOUN
ejpam-5673	277	3	,	,	PUNCT
ejpam-5673	277	4	algorithms	algorithm	NOUN
ejpam-5673	277	5	and	and	CCONJ
ejpam-5673	277	6	applications	application	NOUN
ejpam-5673	277	7	,	,	PUNCT
ejpam-5673	277	8	9(5):1750071	9(5):1750071	NUM
ejpam-5673	277	9	,	,	PUNCT
ejpam-5673	277	10	2017	2017	NUM
ejpam-5673	277	11	.	.	PUNCT
ejpam-5673	278	1	[	[	X
ejpam-5673	278	2	35	35	NUM
ejpam-5673	278	3	]	]	X
ejpam-5673	278	4	f.	f.	NOUN
ejpam-5673	278	5	pfender	pfender	PROPN
ejpam-5673	278	6	.	.	PUNCT
ejpam-5673	279	1	total	total	ADJ
ejpam-5673	279	2	edge	edge	NOUN
ejpam-5673	279	3	irregularity	irregularity	NOUN
ejpam-5673	279	4	strength	strength	NOUN
ejpam-5673	279	5	of	of	ADP
ejpam-5673	279	6	large	large	ADJ
ejpam-5673	279	7	graphs	graph	NOUN
ejpam-5673	279	8	.	.	PUNCT
ejpam-5673	280	1	discrete	discrete	ADJ
ejpam-5673	280	2	mathematics	mathematic	NOUN
ejpam-5673	280	3	,	,	PUNCT
ejpam-5673	280	4	312(2):229–237	312(2):229–237	NUM
ejpam-5673	280	5	,	,	PUNCT
ejpam-5673	280	6	2012	2012	NUM
ejpam-5673	280	7	.	.	PUNCT
ejpam-5673	281	1	[	[	X
ejpam-5673	281	2	36	36	NUM
ejpam-5673	281	3	]	]	X
ejpam-5673	281	4	r.	r.	PROPN
ejpam-5673	281	5	w.	w.	PROPN
ejpam-5673	281	6	putra	putra	PROPN
ejpam-5673	281	7	and	and	CCONJ
ejpam-5673	281	8	y.	y.	PROPN
ejpam-5673	281	9	susanti	susanti	PROPN
ejpam-5673	281	10	.	.	PUNCT
ejpam-5673	282	1	on	on	ADP
ejpam-5673	282	2	total	total	ADJ
ejpam-5673	282	3	edge	edge	NOUN
ejpam-5673	282	4	irregularity	irregularity	NOUN
ejpam-5673	282	5	strength	strength	NOUN
ejpam-5673	282	6	of	of	ADP
ejpam-5673	282	7	centralized	centralized	ADJ
ejpam-5673	282	8	uniform	uniform	ADJ
ejpam-5673	282	9	theta	theta	NOUN
ejpam-5673	282	10	graphs	graph	NOUN
ejpam-5673	282	11	.	.	PUNCT
ejpam-5673	283	1	akce	akce	PROPN
ejpam-5673	283	2	international	international	PROPN
ejpam-5673	283	3	journal	journal	NOUN
ejpam-5673	283	4	of	of	ADP
ejpam-5673	283	5	graphs	graph	NOUN
ejpam-5673	283	6	and	and	CCONJ
ejpam-5673	283	7	combinatorics	combinatoric	NOUN
ejpam-5673	283	8	,	,	PUNCT
ejpam-5673	283	9	15(1):7–13	15(1):7–13	NUM
ejpam-5673	283	10	,	,	PUNCT
ejpam-5673	283	11	2018	2018	NUM
ejpam-5673	283	12	.	.	PUNCT
ejpam-5673	284	1	[	[	X
ejpam-5673	284	2	37	37	NUM
ejpam-5673	284	3	]	]	X
ejpam-5673	284	4	i.	i.	PROPN
ejpam-5673	284	5	rajasingh	rajasingh	PROPN
ejpam-5673	284	6	and	and	CCONJ
ejpam-5673	284	7	s.	s.	PROPN
ejpam-5673	284	8	t.	t.	PROPN
ejpam-5673	284	9	arockiamary	arockiamary	PROPN
ejpam-5673	284	10	.	.	PUNCT
ejpam-5673	285	1	total	total	ADJ
ejpam-5673	285	2	edge	edge	NOUN
ejpam-5673	285	3	irregularity	irregularity	NOUN
ejpam-5673	285	4	strength	strength	NOUN
ejpam-5673	285	5	of	of	ADP
ejpam-5673	285	6	series	series	NOUN
ejpam-5673	285	7	parallel	parallel	NOUN
ejpam-5673	285	8	graphs	graph	NOUN
ejpam-5673	285	9	.	.	PUNCT
ejpam-5673	286	1	international	international	ADJ
ejpam-5673	286	2	journal	journal	NOUN
ejpam-5673	286	3	of	of	ADP
ejpam-5673	286	4	pure	pure	ADJ
ejpam-5673	286	5	and	and	CCONJ
ejpam-5673	286	6	applied	applied	ADJ
ejpam-5673	286	7	mathematics	mathematic	NOUN
ejpam-5673	286	8	,	,	PUNCT
ejpam-5673	286	9	99(1):11–21	99(1):11–21	NUM
ejpam-5673	286	10	,	,	PUNCT
ejpam-5673	286	11	2015	2015	NUM
ejpam-5673	286	12	.	.	PUNCT
ejpam-5673	287	1	[	[	X
ejpam-5673	287	2	38	38	NUM
ejpam-5673	287	3	]	]	PUNCT
ejpam-5673	287	4	f.	f.	PROPN
ejpam-5673	287	5	salama	salama	PROPN
ejpam-5673	287	6	.	.	PUNCT
ejpam-5673	288	1	on	on	ADP
ejpam-5673	288	2	total	total	ADJ
ejpam-5673	288	3	edge	edge	NOUN
ejpam-5673	288	4	irregularity	irregularity	NOUN
ejpam-5673	288	5	strength	strength	NOUN
ejpam-5673	288	6	of	of	ADP
ejpam-5673	288	7	polar	polar	ADJ
ejpam-5673	288	8	grid	grid	NOUN
ejpam-5673	288	9	graph	graph	NOUN
ejpam-5673	288	10	.	.	PUNCT
ejpam-5673	288	11	journal	journal	PROPN
ejpam-5673	288	12	of	of	ADP
ejpam-5673	288	13	taibah	taibah	PROPN
ejpam-5673	288	14	university	university	PROPN
ejpam-5673	288	15	for	for	ADP
ejpam-5673	288	16	science	science	NOUN
ejpam-5673	288	17	,	,	PUNCT
ejpam-5673	288	18	13(1):912–916	13(1):912–916	PROPN
ejpam-5673	288	19	,	,	PUNCT
ejpam-5673	288	20	2019	2019	NUM
ejpam-5673	288	21	.	.	PUNCT
ejpam-5673	289	1	[	[	X
ejpam-5673	289	2	39	39	NUM
ejpam-5673	289	3	]	]	PUNCT
ejpam-5673	289	4	f.	f.	PROPN
ejpam-5673	289	5	salama	salama	PROPN
ejpam-5673	289	6	.	.	PUNCT
ejpam-5673	290	1	exact	exact	ADJ
ejpam-5673	290	2	value	value	NOUN
ejpam-5673	290	3	of	of	ADP
ejpam-5673	290	4	total	total	ADJ
ejpam-5673	290	5	edge	edge	NOUN
ejpam-5673	290	6	irregularity	irregularity	NOUN
ejpam-5673	290	7	strength	strength	NOUN
ejpam-5673	290	8	for	for	ADP
ejpam-5673	290	9	special	special	ADJ
ejpam-5673	290	10	families	family	NOUN
ejpam-5673	290	11	of	of	ADP
ejpam-5673	290	12	graphs	graph	NOUN
ejpam-5673	290	13	.	.	PUNCT
ejpam-5673	291	1	analele	analele	PROPN
ejpam-5673	291	2	universităţii	universităţii	AUX
ejpam-5673	291	3	din	din	VERB
ejpam-5673	291	4	oradea	oradea	PROPN
ejpam-5673	291	5	.	.	PUNCT
ejpam-5673	292	1	fascicula	fascicula	PROPN
ejpam-5673	292	2	matematică	matematică	PROPN
ejpam-5673	292	3	,	,	PUNCT
ejpam-5673	292	4	26(2):123–130	26(2):123–130	PROPN
ejpam-5673	292	5	,	,	PUNCT
ejpam-5673	292	6	2020	2020	NUM
ejpam-5673	292	7	.	.	PUNCT
ejpam-5673	293	1	[	[	X
ejpam-5673	293	2	40	40	NUM
ejpam-5673	293	3	]	]	PUNCT
ejpam-5673	293	4	f.	f.	PROPN
ejpam-5673	293	5	salama	salama	PROPN
ejpam-5673	293	6	.	.	PUNCT
ejpam-5673	294	1	computing	compute	VERB
ejpam-5673	294	2	total	total	ADJ
ejpam-5673	294	3	edge	edge	NOUN
ejpam-5673	294	4	irregularity	irregularity	NOUN
ejpam-5673	294	5	strength	strength	NOUN
ejpam-5673	294	6	for	for	ADP
ejpam-5673	294	7	heptagonal	heptagonal	ADJ
ejpam-5673	294	8	snake	snake	NOUN
ejpam-5673	294	9	graph	graph	NOUN
ejpam-5673	294	10	and	and	CCONJ
ejpam-5673	294	11	related	related	ADJ
ejpam-5673	294	12	graphs	graph	NOUN
ejpam-5673	294	13	.	.	PUNCT
ejpam-5673	295	1	soft	soft	ADJ
ejpam-5673	295	2	computing	computing	NOUN
ejpam-5673	295	3	,	,	PUNCT
ejpam-5673	295	4	26(1):155–164	26(1):155–164	NOUN
ejpam-5673	295	5	,	,	PUNCT
ejpam-5673	295	6	2022	2022	NUM
ejpam-5673	295	7	.	.	PUNCT
ejpam-5673	296	1	[	[	X
ejpam-5673	296	2	41	41	NUM
ejpam-5673	296	3	]	]	X
ejpam-5673	296	4	f.	f.	PROPN
ejpam-5673	296	5	salama	salama	PROPN
ejpam-5673	296	6	and	and	CCONJ
ejpam-5673	296	7	r.	r.	PROPN
ejpam-5673	296	8	m.	m.	PROPN
ejpam-5673	296	9	abo	abo	PROPN
ejpam-5673	296	10	elanin	elanin	NOUN
ejpam-5673	296	11	.	.	PUNCT
ejpam-5673	297	1	on	on	ADP
ejpam-5673	297	2	total	total	ADJ
ejpam-5673	297	3	edge	edge	NOUN
ejpam-5673	297	4	irregularity	irregularity	NOUN
ejpam-5673	297	5	strength	strength	NOUN
ejpam-5673	297	6	for	for	ADP
ejpam-5673	297	7	some	some	DET
ejpam-5673	297	8	special	special	ADJ
ejpam-5673	297	9	types	type	NOUN
ejpam-5673	297	10	of	of	ADP
ejpam-5673	297	11	uniform	uniform	ADJ
ejpam-5673	297	12	theta	theta	PROPN
ejpam-5673	297	13	snake	snake	NOUN
ejpam-5673	297	14	graphs	graph	NOUN
ejpam-5673	297	15	.	.	PUNCT
ejpam-5673	298	1	aims	aim	VERB
ejpam-5673	298	2	mathematics	mathematic	NOUN
ejpam-5673	298	3	,	,	PUNCT
ejpam-5673	298	4	6(8):8127–8148	6(8):8127–8148	NOUN
ejpam-5673	298	5	,	,	PUNCT
ejpam-5673	298	6	2021	2021	NUM
ejpam-5673	298	7	.	.	PUNCT
ejpam-5673	299	1	[	[	X
ejpam-5673	299	2	42	42	NUM
ejpam-5673	299	3	]	]	X
ejpam-5673	299	4	f.	f.	PROPN
ejpam-5673	299	5	salama	salama	PROPN
ejpam-5673	299	6	.	.	PUNCT
ejpam-5673	300	1	computing	compute	VERB
ejpam-5673	300	2	the	the	DET
ejpam-5673	300	3	total	total	ADJ
ejpam-5673	300	4	edge	edge	NOUN
ejpam-5673	300	5	irregularity	irregularity	NOUN
ejpam-5673	300	6	strength	strength	NOUN
ejpam-5673	300	7	for	for	ADP
ejpam-5673	300	8	quintet	quintet	NOUN
ejpam-5673	300	9	snake	snake	NOUN
ejpam-5673	300	10	graph	graph	NOUN
ejpam-5673	300	11	and	and	CCONJ
ejpam-5673	300	12	related	related	ADJ
ejpam-5673	300	13	graphs	graph	NOUN
ejpam-5673	300	14	.	.	PUNCT
ejpam-5673	301	1	journal	journal	NOUN
ejpam-5673	301	2	of	of	ADP
ejpam-5673	301	3	discrete	discrete	ADJ
ejpam-5673	301	4	mathematical	mathematical	ADJ
ejpam-5673	301	5	sciences	science	NOUN
ejpam-5673	301	6	and	and	CCONJ
ejpam-5673	301	7	cryptography	cryptography	NOUN
ejpam-5673	301	8	,	,	PUNCT
ejpam-5673	301	9	24(8):2491–2504	24(8):2491–2504	NUM
ejpam-5673	301	10	,	,	PUNCT
ejpam-5673	301	11	2021	2021	NUM
ejpam-5673	301	12	.	.	PUNCT