id	sid	tid	token	lemma	pos
ejpam-5295	1	1	european	european	PROPN
ejpam-5295	1	2	journal	journal	PROPN
ejpam-5295	1	3	of	of	ADP
ejpam-5295	1	4	pure	pure	ADJ
ejpam-5295	1	5	and	and	CCONJ
ejpam-5295	1	6	applied	apply	VERB
ejpam-5295	1	7	mathematics	mathematic	NOUN
ejpam-5295	1	8	vol	vol	NOUN
ejpam-5295	1	9	.	.	PROPN
ejpam-5295	2	1	17	17	NUM
ejpam-5295	2	2	,	,	PUNCT
ejpam-5295	2	3	no	no	INTJ
ejpam-5295	2	4	.	.	NOUN
ejpam-5295	2	5	3	3	NUM
ejpam-5295	2	6	,	,	PUNCT
ejpam-5295	2	7	2024	2024	NUM
ejpam-5295	2	8	,	,	PUNCT
ejpam-5295	2	9	2055	2055	NUM
ejpam-5295	2	10	-	-	SYM
ejpam-5295	2	11	2072	2072	NUM
ejpam-5295	2	12	issn	issn	PROPN
ejpam-5295	2	13	1307	1307	NUM
ejpam-5295	2	14	-	-	SYM
ejpam-5295	2	15	5543	5543	NUM
ejpam-5295	2	16	–	–	PUNCT
ejpam-5295	3	1	ejpam.com	ejpam.com	X
ejpam-5295	3	2	published	publish	VERB
ejpam-5295	3	3	by	by	ADP
ejpam-5295	3	4	new	new	PROPN
ejpam-5295	3	5	york	york	PROPN
ejpam-5295	3	6	business	business	PROPN
ejpam-5295	3	7	global	global	ADJ
ejpam-5295	3	8	investigating	investigate	VERB
ejpam-5295	3	9	metric	metric	ADJ
ejpam-5295	3	10	dimension	dimension	NOUN
ejpam-5295	3	11	and	and	CCONJ
ejpam-5295	3	12	edge	edge	VERB
ejpam-5295	3	13	metric	metric	ADJ
ejpam-5295	3	14	dimension	dimension	NOUN
ejpam-5295	3	15	of	of	ADP
ejpam-5295	3	16	hexagonal	hexagonal	ADJ
ejpam-5295	3	17	boron	boron	NOUN
ejpam-5295	3	18	nitride	nitride	NOUN
ejpam-5295	3	19	and	and	CCONJ
ejpam-5295	3	20	carbon	carbon	NOUN
ejpam-5295	3	21	nanotubes	nanotube	NOUN
ejpam-5295	3	22	waseem	waseem	PROPN
ejpam-5295	3	23	abbas1	abbas1	PROPN
ejpam-5295	3	24	,	,	PUNCT
ejpam-5295	3	25	faryal	faryal	ADJ
ejpam-5295	3	26	chaudhry1	chaudhry1	PROPN
ejpam-5295	3	27	,	,	PUNCT
ejpam-5295	3	28	umar	umar	PROPN
ejpam-5295	3	29	farooq1,∗	farooq1,∗	PROPN
ejpam-5295	3	30	,	,	PUNCT
ejpam-5295	3	31	muhammad	muhammad	PROPN
ejpam-5295	3	32	azeem2	azeem2	PROPN
ejpam-5295	3	33	,	,	PUNCT
ejpam-5295	3	34	yilun	yilun	ADJ
ejpam-5295	3	35	shang3	shang3	NOUN
ejpam-5295	3	36	1	1	NUM
ejpam-5295	3	37	department	department	NOUN
ejpam-5295	3	38	of	of	ADP
ejpam-5295	3	39	mathematics	mathematic	NOUN
ejpam-5295	3	40	and	and	CCONJ
ejpam-5295	3	41	statistics	statistic	NOUN
ejpam-5295	3	42	,	,	PUNCT
ejpam-5295	3	43	the	the	DET
ejpam-5295	3	44	university	university	NOUN
ejpam-5295	3	45	of	of	ADP
ejpam-5295	3	46	lahore	lahore	NOUN
ejpam-5295	3	47	,	,	PUNCT
ejpam-5295	3	48	54000	54000	NUM
ejpam-5295	3	49	,	,	PUNCT
ejpam-5295	3	50	pakistan	pakistan	PROPN
ejpam-5295	3	51	.	.	PUNCT
ejpam-5295	4	1	2	2	NUM
ejpam-5295	4	2	department	department	NOUN
ejpam-5295	4	3	of	of	ADP
ejpam-5295	4	4	mathematics	mathematic	NOUN
ejpam-5295	4	5	,	,	PUNCT
ejpam-5295	4	6	riphah	riphah	PROPN
ejpam-5295	4	7	international	international	PROPN
ejpam-5295	4	8	university	university	PROPN
ejpam-5295	4	9	lahore	lahore	NOUN
ejpam-5295	4	10	,	,	PUNCT
ejpam-5295	4	11	54000	54000	NUM
ejpam-5295	4	12	,	,	PUNCT
ejpam-5295	4	13	pakistan	pakistan	PROPN
ejpam-5295	4	14	.	.	PUNCT
ejpam-5295	5	1	3	3	NUM
ejpam-5295	5	2	department	department	NOUN
ejpam-5295	5	3	of	of	ADP
ejpam-5295	5	4	computer	computer	NOUN
ejpam-5295	5	5	and	and	CCONJ
ejpam-5295	5	6	information	information	NOUN
ejpam-5295	5	7	sciences	sciences	PROPN
ejpam-5295	5	8	,	,	PUNCT
ejpam-5295	5	9	northumbria	northumbria	PROPN
ejpam-5295	5	10	university	university	PROPN
ejpam-5295	5	11	,	,	PUNCT
ejpam-5295	5	12	newcastle	newcastle	PROPN
ejpam-5295	5	13	ne1	ne1	PROPN
ejpam-5295	5	14	8st	8st	PROPN
ejpam-5295	5	15	,	,	PUNCT
ejpam-5295	5	16	uk	uk	PROPN
ejpam-5295	5	17	.	.	PROPN
ejpam-5295	5	18	abstract	abstract	PROPN
ejpam-5295	5	19	.	.	PUNCT
ejpam-5295	6	1	when	when	SCONJ
ejpam-5295	6	2	there	there	PRON
ejpam-5295	6	3	is	be	VERB
ejpam-5295	6	4	a	a	DET
ejpam-5295	6	5	difference	difference	NOUN
ejpam-5295	6	6	in	in	ADP
ejpam-5295	6	7	the	the	DET
ejpam-5295	6	8	distance	distance	NOUN
ejpam-5295	6	9	between	between	ADP
ejpam-5295	6	10	two	two	NUM
ejpam-5295	6	11	vertices	vertex	NOUN
ejpam-5295	6	12	in	in	ADP
ejpam-5295	6	13	a	a	DET
ejpam-5295	6	14	simple	simple	ADJ
ejpam-5295	6	15	linked	link	VERB
ejpam-5295	6	16	graph	graph	NOUN
ejpam-5295	6	17	,	,	PUNCT
ejpam-5295	6	18	then	then	ADV
ejpam-5295	6	19	a	a	DET
ejpam-5295	6	20	vertex	vertex	NOUN
ejpam-5295	6	21	x	x	PRON
ejpam-5295	6	22	resolves	resolve	VERB
ejpam-5295	6	23	both	both	CCONJ
ejpam-5295	6	24	u	u	NOUN
ejpam-5295	6	25	and	and	CCONJ
ejpam-5295	6	26	v.	v.	INTJ
ejpam-5295	6	27	if	if	SCONJ
ejpam-5295	6	28	at	at	ADV
ejpam-5295	6	29	least	least	ADV
ejpam-5295	6	30	one	one	NUM
ejpam-5295	6	31	vertex	vertex	NOUN
ejpam-5295	6	32	in	in	ADP
ejpam-5295	6	33	s	s	PART
ejpam-5295	6	34	distinguishes	distinguish	VERB
ejpam-5295	6	35	each	each	DET
ejpam-5295	6	36	pair	pair	NOUN
ejpam-5295	6	37	of	of	ADP
ejpam-5295	6	38	distinct	distinct	ADJ
ejpam-5295	6	39	vertices	vertex	NOUN
ejpam-5295	6	40	in	in	ADP
ejpam-5295	6	41	g	g	NOUN
ejpam-5295	6	42	,	,	PUNCT
ejpam-5295	6	43	then	then	ADV
ejpam-5295	6	44	a	a	DET
ejpam-5295	6	45	set	set	NOUN
ejpam-5295	6	46	s	s	NOUN
ejpam-5295	6	47	of	of	ADP
ejpam-5295	6	48	vertices	vertex	NOUN
ejpam-5295	6	49	in	in	ADP
ejpam-5295	6	50	g	g	PROPN
ejpam-5295	6	51	is	be	AUX
ejpam-5295	6	52	referred	refer	VERB
ejpam-5295	6	53	to	to	ADP
ejpam-5295	6	54	as	as	ADP
ejpam-5295	6	55	a	a	DET
ejpam-5295	6	56	resolving	resolving	NOUN
ejpam-5295	6	57	set	set	NOUN
ejpam-5295	6	58	.	.	PUNCT
ejpam-5295	7	1	g	g	NOUN
ejpam-5295	7	2	’s	’s	PART
ejpam-5295	7	3	metric	metric	ADJ
ejpam-5295	7	4	dimension	dimension	NOUN
ejpam-5295	7	5	is	be	AUX
ejpam-5295	7	6	the	the	DET
ejpam-5295	7	7	minimum	minimum	ADJ
ejpam-5295	7	8	number	number	NOUN
ejpam-5295	7	9	of	of	ADP
ejpam-5295	7	10	vertices	vertex	NOUN
ejpam-5295	7	11	required	require	VERB
ejpam-5295	7	12	in	in	ADP
ejpam-5295	7	13	a	a	DET
ejpam-5295	7	14	resolving	resolving	NOUN
ejpam-5295	7	15	set	set	NOUN
ejpam-5295	7	16	.	.	PUNCT
ejpam-5295	8	1	a	a	DET
ejpam-5295	8	2	subset	subset	NOUN
ejpam-5295	8	3	s	s	NOUN
ejpam-5295	8	4	of	of	ADP
ejpam-5295	8	5	vertices	vertex	NOUN
ejpam-5295	8	6	in	in	ADP
ejpam-5295	8	7	a	a	DET
ejpam-5295	8	8	simple	simple	ADJ
ejpam-5295	8	9	connected	connected	ADJ
ejpam-5295	8	10	graph	graph	NOUN
ejpam-5295	8	11	is	be	AUX
ejpam-5295	8	12	called	call	VERB
ejpam-5295	8	13	an	an	DET
ejpam-5295	8	14	edge	edge	NOUN
ejpam-5295	8	15	metric	metric	ADJ
ejpam-5295	8	16	generator	generator	NOUN
ejpam-5295	8	17	if	if	SCONJ
ejpam-5295	8	18	each	each	DET
ejpam-5295	8	19	vertex	vertex	NOUN
ejpam-5295	8	20	can	can	AUX
ejpam-5295	8	21	tell	tell	VERB
ejpam-5295	8	22	any	any	DET
ejpam-5295	8	23	two	two	NUM
ejpam-5295	8	24	distinct	distinct	ADJ
ejpam-5295	8	25	edges	edge	NOUN
ejpam-5295	8	26	e1	e1	PROPN
ejpam-5295	8	27	and	and	CCONJ
ejpam-5295	8	28	e2	e2	PROPN
ejpam-5295	8	29	apart	apart	ADV
ejpam-5295	8	30	by	by	ADP
ejpam-5295	8	31	their	their	PRON
ejpam-5295	8	32	respective	respective	ADJ
ejpam-5295	8	33	distances	distance	NOUN
ejpam-5295	8	34	from	from	ADP
ejpam-5295	8	35	each	each	DET
ejpam-5295	8	36	other	other	ADJ
ejpam-5295	8	37	.	.	PUNCT
ejpam-5295	9	1	the	the	DET
ejpam-5295	9	2	edge	edge	NOUN
ejpam-5295	9	3	metric	metric	ADJ
ejpam-5295	9	4	dimension	dimension	NOUN
ejpam-5295	9	5	(	(	PUNCT
ejpam-5295	9	6	emd	emd	PROPN
ejpam-5295	9	7	)	)	PUNCT
ejpam-5295	9	8	,	,	PUNCT
ejpam-5295	9	9	denoted	denote	VERB
ejpam-5295	9	10	as	as	ADP
ejpam-5295	9	11	dime(g	dime(g	PROPN
ejpam-5295	9	12	)	)	PUNCT
ejpam-5295	9	13	,	,	PUNCT
ejpam-5295	9	14	is	be	AUX
ejpam-5295	9	15	the	the	DET
ejpam-5295	9	16	smallest	small	ADJ
ejpam-5295	9	17	cardinality	cardinality	NOUN
ejpam-5295	9	18	of	of	ADP
ejpam-5295	9	19	such	such	DET
ejpam-5295	9	20	a	a	DET
ejpam-5295	9	21	subset	subset	NOUN
ejpam-5295	9	22	s	s	NOUN
ejpam-5295	9	23	that	that	PRON
ejpam-5295	9	24	serves	serve	VERB
ejpam-5295	9	25	as	as	ADP
ejpam-5295	9	26	an	an	DET
ejpam-5295	9	27	edge	edge	NOUN
ejpam-5295	9	28	metric	metric	ADJ
ejpam-5295	9	29	generator	generator	NOUN
ejpam-5295	9	30	for	for	ADP
ejpam-5295	9	31	g.	g.	PROPN
ejpam-5295	9	32	the	the	DET
ejpam-5295	9	33	primary	primary	ADJ
ejpam-5295	9	34	objective	objective	NOUN
ejpam-5295	9	35	of	of	ADP
ejpam-5295	9	36	this	this	DET
ejpam-5295	9	37	study	study	NOUN
ejpam-5295	9	38	is	be	AUX
ejpam-5295	9	39	to	to	PART
ejpam-5295	9	40	investigate	investigate	VERB
ejpam-5295	9	41	the	the	DET
ejpam-5295	9	42	edge	edge	NOUN
ejpam-5295	9	43	metric	metric	ADJ
ejpam-5295	9	44	dimension	dimension	NOUN
ejpam-5295	9	45	(	(	PUNCT
ejpam-5295	9	46	emd	emd	PROPN
ejpam-5295	9	47	)	)	PUNCT
ejpam-5295	9	48	of	of	ADP
ejpam-5295	9	49	hexagonal	hexagonal	ADJ
ejpam-5295	9	50	boron	boron	NOUN
ejpam-5295	9	51	nitride	nitride	NOUN
ejpam-5295	9	52	and	and	CCONJ
ejpam-5295	9	53	carbon	carbon	NOUN
ejpam-5295	9	54	nanotube	nanotube	NOUN
ejpam-5295	9	55	structures	structure	NOUN
ejpam-5295	9	56	.	.	PUNCT
ejpam-5295	10	1	2020	2020	NUM
ejpam-5295	10	2	mathematics	mathematic	NOUN
ejpam-5295	10	3	subject	subject	NOUN
ejpam-5295	10	4	classifications	classification	NOUN
ejpam-5295	10	5	:	:	PUNCT
ejpam-5295	10	6	05c85	05c85	NUM
ejpam-5295	10	7	,	,	PUNCT
ejpam-5295	10	8	05c90	05c90	NUM
ejpam-5295	10	9	,	,	PUNCT
ejpam-5295	10	10	05c62,05c12	05c62,05c12	NOUN
ejpam-5295	10	11	,	,	PUNCT
ejpam-5295	10	12	05c76	05c76	DET
ejpam-5295	10	13	key	key	ADJ
ejpam-5295	10	14	words	word	NOUN
ejpam-5295	10	15	and	and	CCONJ
ejpam-5295	10	16	phrases	phrase	NOUN
ejpam-5295	10	17	:	:	PUNCT
ejpam-5295	10	18	metric	metric	ADJ
ejpam-5295	10	19	generator	generator	NOUN
ejpam-5295	10	20	,	,	PUNCT
ejpam-5295	10	21	metric	metric	ADJ
ejpam-5295	10	22	basis	basis	NOUN
ejpam-5295	10	23	,	,	PUNCT
ejpam-5295	10	24	edge	edge	VERB
ejpam-5295	10	25	metric	metric	ADJ
ejpam-5295	10	26	dimension	dimension	NOUN
ejpam-5295	10	27	,	,	PUNCT
ejpam-5295	10	28	hexagonal	hexagonal	ADJ
ejpam-5295	10	29	boron	boron	NOUN
ejpam-5295	10	30	nitride	nitride	NOUN
ejpam-5295	10	31	,	,	PUNCT
ejpam-5295	10	32	and	and	CCONJ
ejpam-5295	10	33	carbon	carbon	NOUN
ejpam-5295	10	34	nanotube	nanotube	NOUN
ejpam-5295	10	35	.	.	PUNCT
ejpam-5295	11	1	1	1	X
ejpam-5295	11	2	.	.	X
ejpam-5295	11	3	introduction	introduction	NOUN
ejpam-5295	11	4	an	an	DET
ejpam-5295	11	5	edge	edge	NOUN
ejpam-5295	11	6	set	set	VERB
ejpam-5295	11	7	e	e	NOUN
ejpam-5295	11	8	and	and	CCONJ
ejpam-5295	11	9	a	a	DET
ejpam-5295	11	10	vertex	vertex	NOUN
ejpam-5295	11	11	set	set	VERB
ejpam-5295	11	12	v	v	NUM
ejpam-5295	11	13	create	create	VERB
ejpam-5295	11	14	a	a	DET
ejpam-5295	11	15	simple	simple	ADJ
ejpam-5295	11	16	connected	connect	VERB
ejpam-5295	11	17	graph	graph	NOUN
ejpam-5295	11	18	g.	g.	NOUN
ejpam-5295	12	1	it	it	PRON
ejpam-5295	12	2	can	can	AUX
ejpam-5295	12	3	be	be	AUX
ejpam-5295	12	4	expressed	express	VERB
ejpam-5295	12	5	as	as	ADP
ejpam-5295	12	6	(	(	PUNCT
ejpam-5295	12	7	v	v	NOUN
ejpam-5295	12	8	,	,	PUNCT
ejpam-5295	12	9	e	e	NOUN
ejpam-5295	12	10	)	)	PUNCT
ejpam-5295	12	11	.	.	PUNCT
ejpam-5295	13	1	the	the	DET
ejpam-5295	13	2	quantity	quantity	NOUN
ejpam-5295	13	3	of	of	ADP
ejpam-5295	13	4	edges	edge	NOUN
ejpam-5295	13	5	that	that	PRON
ejpam-5295	13	6	separate	separate	VERB
ejpam-5295	13	7	any	any	DET
ejpam-5295	13	8	two	two	NUM
ejpam-5295	13	9	vertices	vertex	NOUN
ejpam-5295	13	10	in	in	ADP
ejpam-5295	13	11	v	v	NOUN
ejpam-5295	13	12	,	,	PUNCT
ejpam-5295	13	13	a1	a1	NOUN
ejpam-5295	13	14	and	and	CCONJ
ejpam-5295	13	15	a2	a2	PROPN
ejpam-5295	13	16	,	,	PUNCT
ejpam-5295	13	17	is	be	AUX
ejpam-5295	13	18	their	their	PRON
ejpam-5295	13	19	distance	distance	NOUN
ejpam-5295	13	20	,	,	PUNCT
ejpam-5295	13	21	or	or	CCONJ
ejpam-5295	13	22	d(a1	d(a1	NOUN
ejpam-5295	13	23	,	,	PUNCT
ejpam-5295	13	24	a2	a2	PROPN
ejpam-5295	13	25	)	)	PUNCT
ejpam-5295	13	26	.	.	PUNCT
ejpam-5295	14	1	if	if	SCONJ
ejpam-5295	14	2	the	the	DET
ejpam-5295	14	3	distances	distance	NOUN
ejpam-5295	14	4	from	from	ADP
ejpam-5295	14	5	a	a	DET
ejpam-5295	14	6	vertex	vertex	NOUN
ejpam-5295	14	7	v	v	NOUN
ejpam-5295	14	8	to	to	ADP
ejpam-5295	14	9	a1	a1	NOUN
ejpam-5295	14	10	and	and	CCONJ
ejpam-5295	14	11	a2	a2	NOUN
ejpam-5295	14	12	differ	differ	VERB
ejpam-5295	14	13	,	,	PUNCT
ejpam-5295	14	14	then	then	ADV
ejpam-5295	14	15	that	that	DET
ejpam-5295	14	16	particular	particular	ADJ
ejpam-5295	14	17	vertex	vertex	NOUN
ejpam-5295	14	18	v	v	NOUN
ejpam-5295	14	19	in	in	ADP
ejpam-5295	14	20	v	v	NUM
ejpam-5295	14	21	may	may	AUX
ejpam-5295	14	22	discriminate	discriminate	VERB
ejpam-5295	14	23	between	between	ADP
ejpam-5295	14	24	the	the	DET
ejpam-5295	14	25	two	two	NUM
ejpam-5295	14	26	vertices	vertex	NOUN
ejpam-5295	14	27	a1	a1	NOUN
ejpam-5295	14	28	and	and	CCONJ
ejpam-5295	14	29	a2	a2	PROPN
ejpam-5295	14	30	.	.	PUNCT
ejpam-5295	15	1	if	if	SCONJ
ejpam-5295	15	2	every	every	DET
ejpam-5295	15	3	pair	pair	NOUN
ejpam-5295	15	4	of	of	ADP
ejpam-5295	15	5	different	different	ADJ
ejpam-5295	15	6	vertices	vertex	NOUN
ejpam-5295	15	7	in	in	ADP
ejpam-5295	15	8	g	g	PROPN
ejpam-5295	15	9	is	be	AUX
ejpam-5295	15	10	distinguished	distinguish	VERB
ejpam-5295	15	11	by	by	ADP
ejpam-5295	15	12	at	at	ADV
ejpam-5295	15	13	least	least	ADV
ejpam-5295	15	14	one	one	NUM
ejpam-5295	15	15	element	element	NOUN
ejpam-5295	15	16	of	of	ADP
ejpam-5295	15	17	s	s	PROPN
ejpam-5295	15	18	,	,	PUNCT
ejpam-5295	15	19	then	then	ADV
ejpam-5295	15	20	∗corresponding	∗corresponde	VERB
ejpam-5295	15	21	author	author	NOUN
ejpam-5295	15	22	.	.	PUNCT
ejpam-5295	16	1	doi	doi	NOUN
ejpam-5295	16	2	:	:	PUNCT
ejpam-5295	16	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5295	https://doi.org/10.29020/nybg.ejpam.v17i3.5295	ADJ
ejpam-5295	16	4	email	email	NOUN
ejpam-5295	16	5	addresses	address	NOUN
ejpam-5295	16	6	:	:	PUNCT
ejpam-5295	16	7	dmat02211001@student.uol.edu.pk	dmat02211001@student.uol.edu.pk	X
ejpam-5295	16	8	(	(	PUNCT
ejpam-5295	16	9	w.	w.	NOUN
ejpam-5295	16	10	abbas	abbas	PROPN
ejpam-5295	16	11	)	)	PUNCT
ejpam-5295	16	12	,	,	PUNCT
ejpam-5295	16	13	faryal.chaudhry@math.uol.edu.pk	faryal.chaudhry@math.uol.edu.pk	PROPN
ejpam-5295	16	14	(	(	PUNCT
ejpam-5295	16	15	f.	f.	PROPN
ejpam-5295	16	16	chudhary),70126471@student.uol.edu.pk	chudhary),70126471@student.uol.edu.pk	PROPN
ejpam-5295	16	17	(	(	PUNCT
ejpam-5295	16	18	u.	u.	NOUN
ejpam-5295	16	19	farooq),azeemali7009@gmail.com	farooq),azeemali7009@gmail.com	PROPN
ejpam-5295	16	20	(	(	PUNCT
ejpam-5295	16	21	m.	m.	NOUN
ejpam-5295	16	22	azeem	azeem	PROPN
ejpam-5295	16	23	)	)	PUNCT
ejpam-5295	16	24	,	,	PUNCT
ejpam-5295	16	25	yilun.shang@northumbria.ac.uk	yilun.shang@northumbria.ac.uk	NUM
ejpam-5295	16	26	(	(	PUNCT
ejpam-5295	16	27	y.	y.	PROPN
ejpam-5295	16	28	shang	shang	PROPN
ejpam-5295	16	29	)	)	PUNCT
ejpam-5295	16	30	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5295	16	31	2055	2055	NUM
ejpam-5295	16	32	©	©	ADP
ejpam-5295	16	33	2024	2024	NUM
ejpam-5295	16	34	ejpam	ejpam	NOUN
ejpam-5295	16	35	all	all	DET
ejpam-5295	16	36	rights	right	NOUN
ejpam-5295	16	37	reserved	reserve	VERB
ejpam-5295	16	38	.	.	PUNCT
ejpam-5295	17	1	u.	u.	PROPN
ejpam-5295	17	2	farooq	farooq	PROPN
ejpam-5295	17	3	et	et	PROPN
ejpam-5295	17	4	al	al	PROPN
ejpam-5295	17	5	.	.	PUNCT
ejpam-5295	17	6	/	/	SYM
ejpam-5295	17	7	eur	eur	PROPN
ejpam-5295	17	8	.	.	PUNCT
ejpam-5295	18	1	j.	j.	PROPN
ejpam-5295	18	2	pure	pure	PROPN
ejpam-5295	18	3	appl	appl	PROPN
ejpam-5295	18	4	.	.	PROPN
ejpam-5295	18	5	math	math	PROPN
ejpam-5295	18	6	,	,	PUNCT
ejpam-5295	18	7	17	17	NUM
ejpam-5295	18	8	(	(	PUNCT
ejpam-5295	18	9	3	3	NUM
ejpam-5295	18	10	)	)	PUNCT
ejpam-5295	18	11	(	(	PUNCT
ejpam-5295	18	12	2024	2024	NUM
ejpam-5295	18	13	)	)	PUNCT
ejpam-5295	18	14	,	,	PUNCT
ejpam-5295	18	15	2055	2055	NUM
ejpam-5295	18	16	-	-	SYM
ejpam-5295	18	17	2072	2072	NUM
ejpam-5295	18	18	2056	2056	NUM
ejpam-5295	18	19	every	every	DET
ejpam-5295	18	20	subset	subset	NOUN
ejpam-5295	18	21	s	s	NOUN
ejpam-5295	18	22	of	of	ADP
ejpam-5295	18	23	v	v	NOUN
ejpam-5295	18	24	is	be	AUX
ejpam-5295	18	25	a	a	DET
ejpam-5295	18	26	resolving	resolving	NOUN
ejpam-5295	18	27	set	set	NOUN
ejpam-5295	18	28	of	of	ADP
ejpam-5295	18	29	g.	g.	PROPN
ejpam-5295	18	30	the	the	DET
ejpam-5295	18	31	number	number	NOUN
ejpam-5295	18	32	of	of	ADP
ejpam-5295	18	33	items	item	NOUN
ejpam-5295	18	34	in	in	ADP
ejpam-5295	18	35	a	a	DET
ejpam-5295	18	36	metric	metric	ADJ
ejpam-5295	18	37	basis	basis	NOUN
ejpam-5295	18	38	,	,	PUNCT
ejpam-5295	18	39	or	or	CCONJ
ejpam-5295	18	40	a	a	DET
ejpam-5295	18	41	resolving	resolving	NOUN
ejpam-5295	18	42	set	set	VERB
ejpam-5295	18	43	with	with	ADP
ejpam-5295	18	44	a	a	DET
ejpam-5295	18	45	minimal	minimal	ADJ
ejpam-5295	18	46	cardinality	cardinality	NOUN
ejpam-5295	18	47	,	,	PUNCT
ejpam-5295	18	48	is	be	AUX
ejpam-5295	18	49	known	know	VERB
ejpam-5295	18	50	as	as	ADP
ejpam-5295	18	51	the	the	DET
ejpam-5295	18	52	md	md	PROPN
ejpam-5295	18	53	of	of	ADP
ejpam-5295	18	54	g	g	PROPN
ejpam-5295	18	55	,	,	PUNCT
ejpam-5295	18	56	or	or	CCONJ
ejpam-5295	18	57	dim(g	dim(g	PROPN
ejpam-5295	18	58	)	)	PUNCT
ejpam-5295	18	59	.	.	PUNCT
ejpam-5295	19	1	the	the	DET
ejpam-5295	19	2	minimal	minimal	ADJ
ejpam-5295	19	3	of	of	ADP
ejpam-5295	19	4	the	the	DET
ejpam-5295	19	5	distances	distance	NOUN
ejpam-5295	19	6	from	from	ADP
ejpam-5295	19	7	v	v	NUM
ejpam-5295	19	8	to	to	ADP
ejpam-5295	19	9	a1	a1	NOUN
ejpam-5295	19	10	and	and	CCONJ
ejpam-5295	19	11	a2	a2	PROPN
ejpam-5295	19	12	for	for	ADP
ejpam-5295	19	13	a	a	DET
ejpam-5295	19	14	vertex	vertex	NOUN
ejpam-5295	19	15	v	v	NOUN
ejpam-5295	19	16	in	in	ADP
ejpam-5295	19	17	v	v	NOUN
ejpam-5295	19	18	and	and	CCONJ
ejpam-5295	19	19	an	an	DET
ejpam-5295	19	20	edge	edge	NOUN
ejpam-5295	19	21	e	e	NOUN
ejpam-5295	19	22	connecting	connect	VERB
ejpam-5295	19	23	vertices	vertex	NOUN
ejpam-5295	19	24	a1	a1	NOUN
ejpam-5295	19	25	and	and	CCONJ
ejpam-5295	19	26	a2	a2	PROPN
ejpam-5295	19	27	in	in	ADP
ejpam-5295	19	28	e	e	PROPN
ejpam-5295	19	29	defines	define	VERB
ejpam-5295	19	30	the	the	DET
ejpam-5295	19	31	distance	distance	NOUN
ejpam-5295	19	32	between	between	ADP
ejpam-5295	19	33	v	v	NOUN
ejpam-5295	19	34	and	and	CCONJ
ejpam-5295	19	35	e	e	NOUN
ejpam-5295	19	36	,	,	PUNCT
ejpam-5295	19	37	symbolized	symbolize	VERB
ejpam-5295	19	38	as	as	ADP
ejpam-5295	19	39	d(e	d(e	PROPN
ejpam-5295	19	40	,	,	PUNCT
ejpam-5295	19	41	v	v	NOUN
ejpam-5295	19	42	)	)	PUNCT
ejpam-5295	19	43	.	.	PUNCT
ejpam-5295	20	1	if	if	SCONJ
ejpam-5295	20	2	there	there	PRON
ejpam-5295	20	3	are	be	VERB
ejpam-5295	20	4	distinctions	distinction	NOUN
ejpam-5295	20	5	between	between	ADP
ejpam-5295	20	6	the	the	DET
ejpam-5295	20	7	distances	distance	NOUN
ejpam-5295	20	8	from	from	ADP
ejpam-5295	20	9	a	a	DET
ejpam-5295	20	10	vertex	vertex	NOUN
ejpam-5295	20	11	x	x	PUNCT
ejpam-5295	20	12	to	to	ADP
ejpam-5295	20	13	two	two	NUM
ejpam-5295	20	14	edges	edge	NOUN
ejpam-5295	20	15	e1	e1	NOUN
ejpam-5295	20	16	and	and	CCONJ
ejpam-5295	20	17	e2	e2	PROPN
ejpam-5295	20	18	,	,	PUNCT
ejpam-5295	20	19	then	then	ADV
ejpam-5295	20	20	x	x	X
ejpam-5295	20	21	in	in	ADP
ejpam-5295	20	22	v	v	NOUN
ejpam-5295	20	23	may	may	AUX
ejpam-5295	20	24	distinguish	distinguish	VERB
ejpam-5295	20	25	between	between	ADP
ejpam-5295	20	26	them	they	PRON
ejpam-5295	20	27	.	.	PUNCT
ejpam-5295	21	1	if	if	SCONJ
ejpam-5295	21	2	every	every	DET
ejpam-5295	21	3	pair	pair	NOUN
ejpam-5295	21	4	of	of	ADP
ejpam-5295	21	5	unique	unique	ADJ
ejpam-5295	21	6	edges	edge	NOUN
ejpam-5295	21	7	in	in	ADP
ejpam-5295	21	8	a	a	DET
ejpam-5295	21	9	connected	connected	ADJ
ejpam-5295	21	10	graph	graph	NOUN
ejpam-5295	21	11	g	g	NOUN
ejpam-5295	21	12	is	be	AUX
ejpam-5295	21	13	distinguished	distinguish	VERB
ejpam-5295	21	14	by	by	ADP
ejpam-5295	21	15	at	at	ADV
ejpam-5295	21	16	least	least	ADV
ejpam-5295	21	17	one	one	NUM
ejpam-5295	21	18	vertex	vertex	NOUN
ejpam-5295	21	19	in	in	ADP
ejpam-5295	21	20	s	s	PROPN
ejpam-5295	21	21	,	,	PUNCT
ejpam-5295	21	22	then	then	ADV
ejpam-5295	21	23	the	the	DET
ejpam-5295	21	24	subset	subset	NOUN
ejpam-5295	21	25	s	s	VERB
ejpam-5295	21	26	with	with	ADP
ejpam-5295	21	27	the	the	DET
ejpam-5295	21	28	fewest	few	ADJ
ejpam-5295	21	29	vertices	vertex	NOUN
ejpam-5295	21	30	in	in	ADP
ejpam-5295	21	31	g	g	PROPN
ejpam-5295	21	32	is	be	AUX
ejpam-5295	21	33	the	the	DET
ejpam-5295	21	34	edge	edge	NOUN
ejpam-5295	21	35	resolving	resolve	VERB
ejpam-5295	21	36	set	set	VERB
ejpam-5295	21	37	for	for	ADP
ejpam-5295	21	38	that	that	DET
ejpam-5295	21	39	graph	graph	NOUN
ejpam-5295	21	40	.	.	PUNCT
ejpam-5295	22	1	the	the	DET
ejpam-5295	22	2	term	term	NOUN
ejpam-5295	22	3	”	"	PUNCT
ejpam-5295	22	4	emd	emd	PROPN
ejpam-5295	22	5	”	"	PUNCT
ejpam-5295	22	6	(	(	PUNCT
ejpam-5295	22	7	represented	represent	VERB
ejpam-5295	22	8	by	by	ADP
ejpam-5295	22	9	the	the	DET
ejpam-5295	22	10	symbol	symbol	NOUN
ejpam-5295	22	11	dime(g	dime(g	PROPN
ejpam-5295	22	12	)	)	PUNCT
ejpam-5295	22	13	)	)	PUNCT
ejpam-5295	22	14	refers	refer	VERB
ejpam-5295	22	15	to	to	ADP
ejpam-5295	22	16	the	the	DET
ejpam-5295	22	17	minimum	minimum	ADJ
ejpam-5295	22	18	cardinality	cardinality	NOUN
ejpam-5295	22	19	of	of	ADP
ejpam-5295	22	20	an	an	DET
ejpam-5295	22	21	edge	edge	NOUN
ejpam-5295	22	22	resolving	resolve	VERB
ejpam-5295	22	23	set	set	VERB
ejpam-5295	22	24	for	for	ADP
ejpam-5295	22	25	g.	g.	PROPN
ejpam-5295	22	26	slater	slater	PROPN
ejpam-5295	23	1	[	[	X
ejpam-5295	23	2	24	24	NUM
ejpam-5295	23	3	]	]	PUNCT
ejpam-5295	23	4	first	first	ADV
ejpam-5295	23	5	proposed	propose	VERB
ejpam-5295	23	6	the	the	DET
ejpam-5295	23	7	creation	creation	NOUN
ejpam-5295	23	8	of	of	ADP
ejpam-5295	23	9	md	md	PROPN
ejpam-5295	23	10	in	in	ADP
ejpam-5295	23	11	1975	1975	NUM
ejpam-5295	23	12	.	.	PUNCT
ejpam-5295	24	1	he	he	PRON
ejpam-5295	24	2	called	call	VERB
ejpam-5295	24	3	metric	metric	ADJ
ejpam-5295	24	4	generators	generator	NOUN
ejpam-5295	24	5	finding	find	VERB
ejpam-5295	24	6	sets	set	NOUN
ejpam-5295	24	7	,	,	PUNCT
ejpam-5295	24	8	addressing	address	VERB
ejpam-5295	24	9	the	the	DET
ejpam-5295	24	10	issue	issue	NOUN
ejpam-5295	24	11	of	of	ADP
ejpam-5295	24	12	uniquely	uniquely	ADV
ejpam-5295	24	13	identifying	identify	VERB
ejpam-5295	24	14	intruders	intruder	NOUN
ejpam-5295	24	15	’	'	PUNCT
ejpam-5295	24	16	positions	position	NOUN
ejpam-5295	24	17	in	in	ADP
ejpam-5295	24	18	networks	network	NOUN
ejpam-5295	24	19	.	.	PUNCT
ejpam-5295	25	1	following	follow	VERB
ejpam-5295	25	2	this	this	PRON
ejpam-5295	25	3	,	,	PUNCT
ejpam-5295	25	4	in	in	ADP
ejpam-5295	25	5	1976	1976	NUM
ejpam-5295	25	6	,	,	PUNCT
ejpam-5295	25	7	harary	harary	NOUN
ejpam-5295	25	8	and	and	CCONJ
ejpam-5295	25	9	melter	melter	NOUN
ejpam-5295	25	10	[	[	X
ejpam-5295	25	11	8	8	NUM
ejpam-5295	25	12	]	]	PUNCT
ejpam-5295	25	13	were	be	AUX
ejpam-5295	25	14	the	the	DET
ejpam-5295	25	15	first	first	ADJ
ejpam-5295	25	16	to	to	PART
ejpam-5295	25	17	independently	independently	ADV
ejpam-5295	25	18	propose	propose	VERB
ejpam-5295	25	19	the	the	DET
ejpam-5295	25	20	idea	idea	NOUN
ejpam-5295	25	21	of	of	ADP
ejpam-5295	25	22	a	a	DET
ejpam-5295	25	23	graph	graph	NOUN
ejpam-5295	25	24	’s	’s	PART
ejpam-5295	25	25	md	md	PROPN
ejpam-5295	25	26	,	,	PUNCT
ejpam-5295	25	27	referring	refer	VERB
ejpam-5295	25	28	to	to	ADP
ejpam-5295	25	29	metric	metric	ADJ
ejpam-5295	25	30	generators	generator	NOUN
ejpam-5295	25	31	as	as	ADP
ejpam-5295	25	32	resolving	resolve	VERB
ejpam-5295	25	33	sets	set	NOUN
ejpam-5295	25	34	.	.	PUNCT
ejpam-5295	26	1	it	it	PRON
ejpam-5295	26	2	was	be	AUX
ejpam-5295	26	3	proposed	propose	VERB
ejpam-5295	26	4	that	that	SCONJ
ejpam-5295	26	5	instead	instead	ADV
ejpam-5295	26	6	of	of	ADP
ejpam-5295	26	7	only	only	ADV
ejpam-5295	26	8	distinguishing	distinguish	VERB
ejpam-5295	26	9	between	between	ADP
ejpam-5295	26	10	distinct	distinct	ADJ
ejpam-5295	26	11	vertices	vertex	NOUN
ejpam-5295	26	12	of	of	ADP
ejpam-5295	26	13	a	a	DET
ejpam-5295	26	14	graph	graph	NOUN
ejpam-5295	26	15	using	use	VERB
ejpam-5295	26	16	a	a	DET
ejpam-5295	26	17	selected	select	VERB
ejpam-5295	26	18	subset	subset	NOUN
ejpam-5295	26	19	of	of	ADP
ejpam-5295	26	20	vertices	vertex	NOUN
ejpam-5295	26	21	,	,	PUNCT
ejpam-5295	26	22	the	the	DET
ejpam-5295	26	23	same	same	ADJ
ejpam-5295	26	24	subset	subset	NOUN
ejpam-5295	26	25	could	could	AUX
ejpam-5295	26	26	also	also	ADV
ejpam-5295	26	27	differentiate	differentiate	VERB
ejpam-5295	26	28	between	between	ADP
ejpam-5295	26	29	two	two	NUM
ejpam-5295	26	30	distinct	distinct	ADJ
ejpam-5295	26	31	edges	edge	NOUN
ejpam-5295	26	32	.	.	PUNCT
ejpam-5295	27	1	kelenc	kelenc	PROPN
ejpam-5295	27	2	et	et	PROPN
ejpam-5295	27	3	al	al	PROPN
ejpam-5295	27	4	.	.	PUNCT
ejpam-5295	27	5	to	to	PART
ejpam-5295	27	6	capture	capture	VERB
ejpam-5295	27	7	such	such	DET
ejpam-5295	27	8	a	a	DET
ejpam-5295	27	9	notion	notion	NOUN
ejpam-5295	27	10	,	,	PUNCT
ejpam-5295	27	11	[	[	X
ejpam-5295	27	12	9	9	NUM
ejpam-5295	27	13	]	]	PUNCT
ejpam-5295	27	14	generated	generate	VERB
ejpam-5295	27	15	a	a	DET
ejpam-5295	27	16	new	new	ADJ
ejpam-5295	27	17	parameter	parameter	NOUN
ejpam-5295	27	18	called	call	VERB
ejpam-5295	27	19	the	the	DET
ejpam-5295	27	20	emd	emd	PROPN
ejpam-5295	27	21	.	.	PUNCT
ejpam-5295	28	1	they	they	PRON
ejpam-5295	28	2	used	use	VERB
ejpam-5295	28	3	graph	graph	NOUN
ejpam-5295	28	4	metrics	metric	NOUN
ejpam-5295	28	5	to	to	PART
ejpam-5295	28	6	identify	identify	VERB
ejpam-5295	28	7	each	each	DET
ejpam-5295	28	8	edge	edge	NOUN
ejpam-5295	28	9	pair	pair	NOUN
ejpam-5295	28	10	by	by	ADP
ejpam-5295	28	11	measuring	measure	VERB
ejpam-5295	28	12	the	the	DET
ejpam-5295	28	13	graph	graph	NOUN
ejpam-5295	28	14	’s	’s	PART
ejpam-5295	28	15	separation	separation	NOUN
ejpam-5295	28	16	from	from	ADP
ejpam-5295	28	17	its	its	PRON
ejpam-5295	28	18	chosen	choose	VERB
ejpam-5295	28	19	choice	choice	NOUN
ejpam-5295	28	20	of	of	ADP
ejpam-5295	28	21	vertices	vertex	NOUN
ejpam-5295	28	22	.	.	PUNCT
ejpam-5295	29	1	the	the	DET
ejpam-5295	29	2	idea	idea	NOUN
ejpam-5295	29	3	of	of	ADP
ejpam-5295	29	4	md	md	PROPN
ejpam-5295	29	5	has	have	AUX
ejpam-5295	29	6	been	be	AUX
ejpam-5295	29	7	widely	widely	ADV
ejpam-5295	29	8	applied	apply	VERB
ejpam-5295	29	9	in	in	ADP
ejpam-5295	29	10	many	many	ADJ
ejpam-5295	29	11	different	different	ADJ
ejpam-5295	29	12	scientific	scientific	ADJ
ejpam-5295	29	13	fields	field	NOUN
ejpam-5295	29	14	.	.	PUNCT
ejpam-5295	30	1	drug	drug	NOUN
ejpam-5295	30	2	discovery	discovery	NOUN
ejpam-5295	30	3	and	and	CCONJ
ejpam-5295	30	4	pharmacological	pharmacological	ADJ
ejpam-5295	30	5	activity	activity	NOUN
ejpam-5295	30	6	were	be	AUX
ejpam-5295	30	7	linked	link	VERB
ejpam-5295	30	8	to	to	ADP
ejpam-5295	30	9	the	the	DET
ejpam-5295	30	10	emd	emd	PROPN
ejpam-5295	30	11	of	of	ADP
ejpam-5295	30	12	graphs	graph	NOUN
ejpam-5295	30	13	by	by	ADP
ejpam-5295	30	14	chartrand	chartrand	PROPN
ejpam-5295	30	15	et	et	PROPN
ejpam-5295	30	16	al	al	PROPN
ejpam-5295	30	17	.	.	PUNCT
ejpam-5295	31	1	[	[	X
ejpam-5295	31	2	5	5	NUM
ejpam-5295	31	3	]	]	PUNCT
ejpam-5295	31	4	.	.	PUNCT
ejpam-5295	32	1	a	a	DET
ejpam-5295	32	2	robot	robot	NOUN
ejpam-5295	32	3	’s	’s	PART
ejpam-5295	32	4	navigation	navigation	NOUN
ejpam-5295	32	5	could	could	AUX
ejpam-5295	32	6	be	be	AUX
ejpam-5295	32	7	moved	move	VERB
ejpam-5295	32	8	from	from	ADP
ejpam-5295	32	9	euclidean	euclidean	ADJ
ejpam-5295	32	10	space	space	NOUN
ejpam-5295	32	11	to	to	ADP
ejpam-5295	32	12	a	a	DET
ejpam-5295	32	13	network	network	NOUN
ejpam-5295	32	14	structure	structure	NOUN
ejpam-5295	32	15	,	,	PUNCT
ejpam-5295	32	16	according	accord	VERB
ejpam-5295	32	17	to	to	ADP
ejpam-5295	32	18	khuller	khuller	PROPN
ejpam-5295	32	19	et	et	PROPN
ejpam-5295	32	20	al	al	PROPN
ejpam-5295	32	21	.	.	PUNCT
ejpam-5295	33	1	[	[	X
ejpam-5295	33	2	10	10	NUM
ejpam-5295	33	3	]	]	PUNCT
ejpam-5295	33	4	.	.	PUNCT
ejpam-5295	34	1	suggesting	suggest	VERB
ejpam-5295	34	2	potential	potential	ADJ
ejpam-5295	34	3	applications	application	NOUN
ejpam-5295	34	4	of	of	ADP
ejpam-5295	34	5	md	md	PROPN
ejpam-5295	34	6	in	in	ADP
ejpam-5295	34	7	robot	robot	NOUN
ejpam-5295	34	8	navigation	navigation	NOUN
ejpam-5295	34	9	.	.	PUNCT
ejpam-5295	35	1	researchers	researcher	NOUN
ejpam-5295	35	2	can	can	AUX
ejpam-5295	35	3	learn	learn	VERB
ejpam-5295	35	4	more	more	ADJ
ejpam-5295	35	5	about	about	ADP
ejpam-5295	35	6	the	the	DET
ejpam-5295	35	7	use	use	NOUN
ejpam-5295	35	8	of	of	ADP
ejpam-5295	35	9	md	md	PROPN
ejpam-5295	35	10	in	in	ADP
ejpam-5295	35	11	intricate	intricate	ADJ
ejpam-5295	35	12	digital	digital	ADJ
ejpam-5295	35	13	games	game	NOUN
ejpam-5295	35	14	by	by	ADP
ejpam-5295	35	15	analyzing	analyze	VERB
ejpam-5295	35	16	mastermind	mastermind	NOUN
ejpam-5295	35	17	games	game	NOUN
ejpam-5295	35	18	,	,	PUNCT
ejpam-5295	35	19	which	which	PRON
ejpam-5295	35	20	was	be	AUX
ejpam-5295	35	21	made	make	VERB
ejpam-5295	35	22	possible	possible	ADJ
ejpam-5295	35	23	by	by	ADP
ejpam-5295	35	24	chvatal	chvatal	PROPN
ejpam-5295	35	25	’s	’s	PART
ejpam-5295	35	26	investigation	investigation	NOUN
ejpam-5295	35	27	of	of	ADP
ejpam-5295	35	28	the	the	DET
ejpam-5295	35	29	md	md	PROPN
ejpam-5295	35	30	of	of	ADP
ejpam-5295	35	31	hamming	hamming	NOUN
ejpam-5295	35	32	graphs	graph	NOUN
ejpam-5295	35	33	[	[	X
ejpam-5295	35	34	6	6	NUM
ejpam-5295	35	35	]	]	PUNCT
ejpam-5295	35	36	.	.	PUNCT
ejpam-5295	36	1	erdős	erdős	NOUN
ejpam-5295	36	2	and	and	CCONJ
ejpam-5295	36	3	lindström	lindström	NOUN
ejpam-5295	37	1	[	[	X
ejpam-5295	37	2	7	7	NUM
ejpam-5295	37	3	,	,	PUNCT
ejpam-5295	37	4	13	13	NUM
ejpam-5295	37	5	]	]	PUNCT
ejpam-5295	37	6	also	also	ADV
ejpam-5295	37	7	made	make	VERB
ejpam-5295	37	8	assertions	assertion	NOUN
ejpam-5295	37	9	about	about	ADP
ejpam-5295	37	10	the	the	DET
ejpam-5295	37	11	usefulness	usefulness	NOUN
ejpam-5295	37	12	of	of	ADP
ejpam-5295	37	13	md	md	PROPN
ejpam-5295	37	14	in	in	ADP
ejpam-5295	37	15	different	different	ADJ
ejpam-5295	37	16	coin	coin	NOUN
ejpam-5295	37	17	-	-	PUNCT
ejpam-5295	37	18	weighing	weigh	VERB
ejpam-5295	37	19	scenarios	scenario	NOUN
ejpam-5295	37	20	.	.	PUNCT
ejpam-5295	38	1	several	several	ADJ
ejpam-5295	38	2	theoretical	theoretical	ADJ
ejpam-5295	38	3	research	research	NOUN
ejpam-5295	38	4	on	on	ADP
ejpam-5295	38	5	graphs	graph	NOUN
ejpam-5295	38	6	have	have	AUX
ejpam-5295	38	7	been	be	AUX
ejpam-5295	38	8	motivated	motivate	VERB
ejpam-5295	38	9	by	by	ADP
ejpam-5295	38	10	resolving	resolve	VERB
ejpam-5295	38	11	sets	set	NOUN
ejpam-5295	38	12	.	.	PUNCT
ejpam-5295	39	1	fault	fault	NOUN
ejpam-5295	39	2	-	-	PUNCT
ejpam-5295	39	3	tolerant	tolerant	ADJ
ejpam-5295	39	4	md	md	PROPN
ejpam-5295	39	5	has	have	AUX
ejpam-5295	39	6	been	be	AUX
ejpam-5295	39	7	investigated	investigate	VERB
ejpam-5295	39	8	in	in	ADP
ejpam-5295	39	9	[	[	X
ejpam-5295	39	10	22	22	NUM
ejpam-5295	39	11	,	,	PUNCT
ejpam-5295	39	12	23	23	NUM
ejpam-5295	39	13	]	]	PUNCT
ejpam-5295	39	14	,	,	PUNCT
ejpam-5295	39	15	which	which	PRON
ejpam-5295	39	16	has	have	VERB
ejpam-5295	39	17	applications	application	NOUN
ejpam-5295	39	18	in	in	ADP
ejpam-5295	39	19	sensor	sensor	NOUN
ejpam-5295	39	20	networks	network	NOUN
ejpam-5295	39	21	.	.	PUNCT
ejpam-5295	40	1	the	the	DET
ejpam-5295	40	2	emd	emd	PROPN
ejpam-5295	40	3	represents	represent	VERB
ejpam-5295	40	4	a	a	DET
ejpam-5295	40	5	natural	natural	ADJ
ejpam-5295	40	6	extension	extension	NOUN
ejpam-5295	40	7	of	of	ADP
ejpam-5295	40	8	the	the	DET
ejpam-5295	40	9	resolving	resolving	NOUN
ejpam-5295	40	10	set	set	VERB
ejpam-5295	40	11	concept	concept	NOUN
ejpam-5295	40	12	,	,	PUNCT
ejpam-5295	40	13	prompting	prompt	VERB
ejpam-5295	40	14	readers	reader	NOUN
ejpam-5295	40	15	to	to	PART
ejpam-5295	40	16	explore	explore	VERB
ejpam-5295	40	17	the	the	DET
ejpam-5295	40	18	literature	literature	NOUN
ejpam-5295	40	19	on	on	ADP
ejpam-5295	40	20	md	md	PROPN
ejpam-5295	40	21	across	across	ADP
ejpam-5295	40	22	various	various	ADJ
ejpam-5295	40	23	classes	class	NOUN
ejpam-5295	40	24	of	of	ADP
ejpam-5295	40	25	graphs	graph	NOUN
ejpam-5295	40	26	.	.	PUNCT
ejpam-5295	41	1	ali	ali	PROPN
ejpam-5295	41	2	et	et	PROPN
ejpam-5295	41	3	al.[4	al.[4	PROPN
ejpam-5295	41	4	,	,	PUNCT
ejpam-5295	41	5	16	16	NUM
ejpam-5295	41	6	]	]	PUNCT
ejpam-5295	41	7	,	,	PUNCT
ejpam-5295	41	8	for	for	ADP
ejpam-5295	41	9	example	example	NOUN
ejpam-5295	41	10	,	,	PUNCT
ejpam-5295	41	11	investigated	investigate	VERB
ejpam-5295	41	12	the	the	DET
ejpam-5295	41	13	md	md	PROPN
ejpam-5295	41	14	of	of	ADP
ejpam-5295	41	15	cycle	cycle	NOUN
ejpam-5295	41	16	-	-	PUNCT
ejpam-5295	41	17	related	relate	VERB
ejpam-5295	41	18	graphs	graph	NOUN
ejpam-5295	41	19	and	and	CCONJ
ejpam-5295	41	20	mobius	mobius	NOUN
ejpam-5295	41	21	networks	network	NOUN
ejpam-5295	41	22	.	.	PUNCT
ejpam-5295	42	1	the	the	DET
ejpam-5295	42	2	strong	strong	ADJ
ejpam-5295	42	3	md	md	PROPN
ejpam-5295	42	4	of	of	ADP
ejpam-5295	42	5	graphs	graph	NOUN
ejpam-5295	42	6	was	be	AUX
ejpam-5295	42	7	addressed	address	VERB
ejpam-5295	42	8	by	by	ADP
ejpam-5295	42	9	kuziak	kuziak	PROPN
ejpam-5295	42	10	et	et	PROPN
ejpam-5295	42	11	al	al	PROPN
ejpam-5295	42	12	.	.	PUNCT
ejpam-5295	43	1	[	[	X
ejpam-5295	43	2	12	12	NUM
ejpam-5295	43	3	]	]	PUNCT
ejpam-5295	43	4	,	,	PUNCT
ejpam-5295	43	5	whereas	whereas	SCONJ
ejpam-5295	43	6	the	the	DET
ejpam-5295	43	7	md	md	PROPN
ejpam-5295	43	8	of	of	ADP
ejpam-5295	43	9	cocktail	cocktail	NOUN
ejpam-5295	43	10	party	party	NOUN
ejpam-5295	43	11	,	,	PUNCT
ejpam-5295	43	12	toeplitz	toeplitz	NOUN
ejpam-5295	43	13	,	,	PUNCT
ejpam-5295	43	14	and	and	CCONJ
ejpam-5295	43	15	jellyfish	jellyfish	NOUN
ejpam-5295	43	16	graphs	graph	NOUN
ejpam-5295	43	17	were	be	AUX
ejpam-5295	43	18	the	the	DET
ejpam-5295	43	19	subject	subject	NOUN
ejpam-5295	43	20	of	of	ADP
ejpam-5295	43	21	liu	liu	PROPN
ejpam-5295	43	22	et	et	PROPN
ejpam-5295	43	23	al	al	PROPN
ejpam-5295	43	24	.	.	PUNCT
ejpam-5295	44	1	[	[	X
ejpam-5295	44	2	14	14	NUM
ejpam-5295	44	3	,	,	PUNCT
ejpam-5295	44	4	15	15	NUM
ejpam-5295	44	5	]	]	PUNCT
ejpam-5295	44	6	.	.	PUNCT
ejpam-5295	45	1	in	in	ADP
ejpam-5295	45	2	several	several	ADJ
ejpam-5295	45	3	cycle	cycle	NOUN
ejpam-5295	45	4	-	-	PUNCT
ejpam-5295	45	5	related	relate	VERB
ejpam-5295	45	6	graphs	graph	NOUN
ejpam-5295	45	7	,	,	PUNCT
ejpam-5295	45	8	ahmad	ahmad	PROPN
ejpam-5295	45	9	et	et	PROPN
ejpam-5295	45	10	al	al	PROPN
ejpam-5295	45	11	.	.	PUNCT
ejpam-5295	46	1	[	[	X
ejpam-5295	46	2	1	1	X
ejpam-5295	46	3	]	]	PUNCT
ejpam-5295	46	4	explored	explore	VERB
ejpam-5295	46	5	the	the	DET
ejpam-5295	46	6	md	md	PROPN
ejpam-5295	46	7	.	.	PROPN
ejpam-5295	47	1	since	since	SCONJ
ejpam-5295	47	2	koam	koam	PROPN
ejpam-5295	47	3	and	and	CCONJ
ejpam-5295	47	4	ahmad	ahmad	PROPN
ejpam-5295	47	5	[	[	X
ejpam-5295	47	6	11	11	NUM
ejpam-5295	47	7	]	]	PUNCT
ejpam-5295	47	8	researched	research	VERB
ejpam-5295	47	9	the	the	DET
ejpam-5295	47	10	emd	emd	PROPN
ejpam-5295	47	11	of	of	ADP
ejpam-5295	47	12	barycentric	barycentric	ADJ
ejpam-5295	47	13	subdivisions	subdivision	NOUN
ejpam-5295	47	14	of	of	ADP
ejpam-5295	47	15	cayley	cayley	ADJ
ejpam-5295	47	16	graphs	graph	NOUN
ejpam-5295	47	17	,	,	PUNCT
ejpam-5295	47	18	the	the	DET
ejpam-5295	47	19	emd	emd	PROPN
ejpam-5295	47	20	has	have	AUX
ejpam-5295	47	21	gained	gain	VERB
ejpam-5295	47	22	popularity	popularity	NOUN
ejpam-5295	47	23	in	in	ADP
ejpam-5295	47	24	arguments	argument	NOUN
ejpam-5295	47	25	about	about	ADP
ejpam-5295	47	26	resolvability	resolvability	NOUN
ejpam-5295	47	27	.	.	PUNCT
ejpam-5295	48	1	ahsan	ahsan	PROPN
ejpam-5295	48	2	et	et	PROPN
ejpam-5295	48	3	al	al	PROPN
ejpam-5295	48	4	.	.	PUNCT
ejpam-5295	49	1	[	[	X
ejpam-5295	49	2	2	2	X
ejpam-5295	49	3	]	]	PUNCT
ejpam-5295	49	4	and	and	CCONJ
ejpam-5295	49	5	zhang	zhang	PROPN
ejpam-5295	49	6	and	and	CCONJ
ejpam-5295	49	7	gao	gao	PROPN
ejpam-5295	49	8	[	[	X
ejpam-5295	49	9	28	28	NUM
ejpam-5295	49	10	]	]	PUNCT
ejpam-5295	49	11	both	both	PRON
ejpam-5295	49	12	examined	examine	VERB
ejpam-5295	49	13	the	the	DET
ejpam-5295	49	14	convex	convex	ADJ
ejpam-5295	49	15	polytope	polytope	NOUN
ejpam-5295	49	16	graph	graph	NOUN
ejpam-5295	49	17	.	.	PUNCT
ejpam-5295	49	18	wheel	wheel	NOUN
ejpam-5295	49	19	graph	graph	NOUN
ejpam-5295	49	20	-	-	PUNCT
ejpam-5295	49	21	related	relate	VERB
ejpam-5295	49	22	chemical	chemical	NOUN
ejpam-5295	49	23	structures	structure	NOUN
ejpam-5295	49	24	were	be	AUX
ejpam-5295	49	25	studied	study	VERB
ejpam-5295	49	26	by	by	ADP
ejpam-5295	49	27	yang	yang	PROPN
ejpam-5295	49	28	et	et	PROPN
ejpam-5295	49	29	al	al	PROPN
ejpam-5295	49	30	.	.	PUNCT
ejpam-5295	50	1	[	[	X
ejpam-5295	50	2	25	25	NUM
ejpam-5295	50	3	]	]	PUNCT
ejpam-5295	50	4	.	.	PUNCT
ejpam-5295	51	1	ali	ali	PROPN
ejpam-5295	51	2	et	et	PROPN
ejpam-5295	51	3	al	al	PROPN
ejpam-5295	51	4	.	.	PUNCT
ejpam-5295	52	1	[	[	X
ejpam-5295	52	2	3	3	X
ejpam-5295	52	3	]	]	PUNCT
ejpam-5295	52	4	systematically	systematically	ADV
ejpam-5295	52	5	investigated	investigate	VERB
ejpam-5295	52	6	the	the	DET
ejpam-5295	52	7	md	md	PROPN
ejpam-5295	52	8	of	of	ADP
ejpam-5295	52	9	the	the	DET
ejpam-5295	52	10	wheel	wheel	NOUN
ejpam-5295	52	11	,	,	PUNCT
ejpam-5295	52	12	gear	gear	NOUN
ejpam-5295	52	13	,	,	PUNCT
ejpam-5295	52	14	and	and	CCONJ
ejpam-5295	52	15	anti	anti	ADJ
ejpam-5295	52	16	-	-	ADJ
ejpam-5295	52	17	web	web	ADJ
ejpam-5295	52	18	wheel	wheel	NOUN
ejpam-5295	52	19	networks	network	NOUN
ejpam-5295	52	20	.	.	PUNCT
ejpam-5295	53	1	in	in	ADP
ejpam-5295	53	2	their	their	PRON
ejpam-5295	53	3	study	study	NOUN
ejpam-5295	53	4	[	[	X
ejpam-5295	53	5	21	21	NUM
ejpam-5295	53	6	]	]	PUNCT
ejpam-5295	53	7	,	,	PUNCT
ejpam-5295	53	8	raza	raza	PROPN
ejpam-5295	53	9	and	and	CCONJ
ejpam-5295	53	10	bataineh	bataineh	PROPN
ejpam-5295	53	11	investigated	investigate	VERB
ejpam-5295	53	12	the	the	DET
ejpam-5295	53	13	dimensions	dimension	NOUN
ejpam-5295	53	14	of	of	ADP
ejpam-5295	53	15	metric	metric	ADJ
ejpam-5295	53	16	and	and	CCONJ
ejpam-5295	53	17	edge	edge	NOUN
ejpam-5295	53	18	metrics	metric	NOUN
ejpam-5295	53	19	.	.	PUNCT
ejpam-5295	54	1	yero	yero	PROPN
ejpam-5295	54	2	(	(	PUNCT
ejpam-5295	54	3	2016	2016	NUM
ejpam-5295	54	4	)	)	PUNCT
ejpam-5295	54	5	discussed	discuss	VERB
ejpam-5295	54	6	md	md	PROPN
ejpam-5295	54	7	definitions	definition	NOUN
ejpam-5295	54	8	and	and	CCONJ
ejpam-5295	54	9	related	related	ADJ
ejpam-5295	54	10	thoughts	thought	NOUN
ejpam-5295	54	11	while	while	SCONJ
ejpam-5295	54	12	okamoto	okamoto	PROPN
ejpam-5295	54	13	et	et	PROPN
ejpam-5295	54	14	al	al	PROPN
ejpam-5295	54	15	.	.	PROPN
ejpam-5295	55	1	(	(	PUNCT
ejpam-5295	55	2	2010	2010	NUM
ejpam-5295	55	3	)	)	PUNCT
ejpam-5295	55	4	researched	research	VERB
ejpam-5295	55	5	local	local	ADJ
ejpam-5295	55	6	md	md	NOUN
ejpam-5295	55	7	.	.	PUNCT
ejpam-5295	56	1	additional	additional	ADJ
ejpam-5295	56	2	research	research	NOUN
ejpam-5295	56	3	on	on	ADP
ejpam-5295	56	4	emd	emd	PROPN
ejpam-5295	56	5	may	may	AUX
ejpam-5295	56	6	be	be	AUX
ejpam-5295	56	7	found	find	VERB
ejpam-5295	56	8	in	in	ADP
ejpam-5295	56	9	[	[	X
ejpam-5295	56	10	17	17	NUM
ejpam-5295	56	11	,	,	PUNCT
ejpam-5295	56	12	26	26	NUM
ejpam-5295	56	13	]	]	PUNCT
ejpam-5295	56	14	.	.	PUNCT
ejpam-5295	57	1	mixed	mixed	PROPN
ejpam-5295	57	2	md	md	PROPN
ejpam-5295	57	3	,	,	PUNCT
ejpam-5295	57	4	satisfying	satisfy	VERB
ejpam-5295	57	5	both	both	CCONJ
ejpam-5295	57	6	metric	metric	ADJ
ejpam-5295	57	7	and	and	CCONJ
ejpam-5295	57	8	emd	emd	PROPN
ejpam-5295	57	9	conditions	condition	NOUN
ejpam-5295	57	10	,	,	PUNCT
ejpam-5295	57	11	has	have	AUX
ejpam-5295	57	12	been	be	AUX
ejpam-5295	57	13	investigated	investigate	VERB
ejpam-5295	57	14	across	across	ADP
ejpam-5295	57	15	u.	u.	PROPN
ejpam-5295	57	16	farooq	farooq	PROPN
ejpam-5295	57	17	et	et	PROPN
ejpam-5295	57	18	al	al	PROPN
ejpam-5295	57	19	.	.	PUNCT
ejpam-5295	57	20	/	/	SYM
ejpam-5295	57	21	eur	eur	PROPN
ejpam-5295	57	22	.	.	PUNCT
ejpam-5295	58	1	j.	j.	PROPN
ejpam-5295	58	2	pure	pure	PROPN
ejpam-5295	58	3	appl	appl	PROPN
ejpam-5295	58	4	.	.	PROPN
ejpam-5295	58	5	math	math	PROPN
ejpam-5295	58	6	,	,	PUNCT
ejpam-5295	58	7	17	17	NUM
ejpam-5295	58	8	(	(	PUNCT
ejpam-5295	58	9	3	3	NUM
ejpam-5295	58	10	)	)	PUNCT
ejpam-5295	58	11	(	(	PUNCT
ejpam-5295	58	12	2024	2024	NUM
ejpam-5295	58	13	)	)	PUNCT
ejpam-5295	58	14	,	,	PUNCT
ejpam-5295	58	15	2055	2055	NUM
ejpam-5295	58	16	-	-	SYM
ejpam-5295	58	17	2072	2072	NUM
ejpam-5295	58	18	2057	2057	NUM
ejpam-5295	58	19	various	various	ADJ
ejpam-5295	58	20	graph	graph	NOUN
ejpam-5295	58	21	families	family	NOUN
ejpam-5295	58	22	.	.	PUNCT
ejpam-5295	59	1	for	for	ADP
ejpam-5295	59	2	instance	instance	NOUN
ejpam-5295	59	3	,	,	PUNCT
ejpam-5295	59	4	raza	raza	PROPN
ejpam-5295	59	5	et	et	PROPN
ejpam-5295	59	6	al	al	PROPN
ejpam-5295	59	7	.	.	PUNCT
ejpam-5295	60	1	[	[	X
ejpam-5295	60	2	20	20	NUM
ejpam-5295	60	3	]	]	PUNCT
ejpam-5295	60	4	explored	explore	VERB
ejpam-5295	60	5	mixed	mixed	ADJ
ejpam-5295	60	6	mds	mds	NOUN
ejpam-5295	60	7	in	in	ADP
ejpam-5295	60	8	rotationally	rotationally	ADV
ejpam-5295	60	9	symmetric	symmetric	ADJ
ejpam-5295	60	10	graphs	graph	NOUN
ejpam-5295	60	11	,	,	PUNCT
ejpam-5295	60	12	providing	provide	VERB
ejpam-5295	60	13	exact	exact	ADJ
ejpam-5295	60	14	values	value	NOUN
ejpam-5295	60	15	.	.	PUNCT
ejpam-5295	61	1	raza	raza	NOUN
ejpam-5295	61	2	and	and	CCONJ
ejpam-5295	61	3	ji	ji	PROPN
ejpam-5295	62	1	[	[	X
ejpam-5295	62	2	18	18	NUM
ejpam-5295	62	3	]	]	PUNCT
ejpam-5295	62	4	computed	compute	VERB
ejpam-5295	62	5	mixed	mixed	ADJ
ejpam-5295	62	6	mds	mds	NOUN
ejpam-5295	62	7	for	for	ADP
ejpam-5295	62	8	the	the	DET
ejpam-5295	62	9	generalized	generalized	ADJ
ejpam-5295	62	10	petersen	petersen	NOUN
ejpam-5295	62	11	graph	graph	NOUN
ejpam-5295	62	12	p(n	p(n	PROPN
ejpam-5295	62	13	,	,	PUNCT
ejpam-5295	62	14	2	2	NUM
ejpam-5295	62	15	)	)	PUNCT
ejpam-5295	62	16	,	,	PUNCT
ejpam-5295	62	17	while	while	SCONJ
ejpam-5295	62	18	raza	raza	PROPN
ejpam-5295	62	19	et	et	PROPN
ejpam-5295	62	20	al	al	PROPN
ejpam-5295	62	21	.	.	PUNCT
ejpam-5295	63	1	[	[	X
ejpam-5295	63	2	19	19	NUM
ejpam-5295	63	3	]	]	PUNCT
ejpam-5295	63	4	discussed	discuss	VERB
ejpam-5295	63	5	results	result	NOUN
ejpam-5295	63	6	on	on	ADP
ejpam-5295	63	7	mixed	mixed	ADJ
ejpam-5295	63	8	mds	mds	NOUN
ejpam-5295	63	9	for	for	ADP
ejpam-5295	63	10	certain	certain	ADJ
ejpam-5295	63	11	path	path	NOUN
ejpam-5295	63	12	-	-	PUNCT
ejpam-5295	63	13	related	relate	VERB
ejpam-5295	63	14	graphs	graph	NOUN
ejpam-5295	63	15	.	.	PUNCT
ejpam-5295	64	1	in	in	ADP
ejpam-5295	64	2	general	general	ADJ
ejpam-5295	64	3	,	,	PUNCT
ejpam-5295	64	4	it	it	PRON
ejpam-5295	64	5	is	be	AUX
ejpam-5295	64	6	np	np	INTJ
ejpam-5295	64	7	-	-	ADJ
ejpam-5295	64	8	hard	hard	ADJ
ejpam-5295	64	9	to	to	PART
ejpam-5295	64	10	establish	establish	VERB
ejpam-5295	64	11	a	a	DET
ejpam-5295	64	12	graph	graph	NOUN
ejpam-5295	64	13	’s	’s	PART
ejpam-5295	64	14	emd	emd	PROPN
ejpam-5295	65	1	[	[	X
ejpam-5295	65	2	9	9	NUM
ejpam-5295	65	3	]	]	PUNCT
ejpam-5295	65	4	.	.	PUNCT
ejpam-5295	66	1	while	while	SCONJ
ejpam-5295	66	2	kelenc	kelenc	PROPN
ejpam-5295	66	3	et	et	PROPN
ejpam-5295	66	4	al	al	PROPN
ejpam-5295	66	5	.	.	PUNCT
ejpam-5295	67	1	[	[	X
ejpam-5295	67	2	9	9	NUM
ejpam-5295	67	3	]	]	PUNCT
ejpam-5295	67	4	analyzed	analyze	VERB
ejpam-5295	67	5	graph	graph	NOUN
ejpam-5295	67	6	families	family	NOUN
ejpam-5295	67	7	where	where	SCONJ
ejpam-5295	67	8	dim(g	dim(g	PROPN
ejpam-5295	67	9	)	)	PUNCT
ejpam-5295	67	10	=	=	SYM
ejpam-5295	67	11	dime(g	dime(g	PROPN
ejpam-5295	67	12	)	)	PUNCT
ejpam-5295	67	13	,	,	PUNCT
ejpam-5295	67	14	dim(g	dim(g	PROPN
ejpam-5295	67	15	)	)	PUNCT
ejpam-5295	67	16	<	<	X
ejpam-5295	67	17	dime(g	dime(g	PROPN
ejpam-5295	67	18	)	)	PUNCT
ejpam-5295	67	19	,	,	PUNCT
ejpam-5295	67	20	and	and	CCONJ
ejpam-5295	67	21	dim(g	dim(g	PROPN
ejpam-5295	67	22	)	)	PUNCT
ejpam-5295	67	23	>	>	X
ejpam-5295	67	24	dime(g	dime(g	PROPN
ejpam-5295	67	25	)	)	PUNCT
ejpam-5295	67	26	,	,	PUNCT
ejpam-5295	67	27	there	there	PRON
ejpam-5295	67	28	is	be	VERB
ejpam-5295	67	29	no	no	DET
ejpam-5295	67	30	general	general	ADJ
ejpam-5295	67	31	connection	connection	NOUN
ejpam-5295	67	32	between	between	ADP
ejpam-5295	67	33	metric	metric	ADJ
ejpam-5295	67	34	and	and	CCONJ
ejpam-5295	67	35	emds	emds	NOUN
ejpam-5295	67	36	.	.	PUNCT
ejpam-5295	68	1	md	md	PROPN
ejpam-5295	68	2	and	and	CCONJ
ejpam-5295	68	3	emd	emd	PROPN
ejpam-5295	68	4	are	be	AUX
ejpam-5295	68	5	fundamental	fundamental	ADJ
ejpam-5295	68	6	concepts	concept	NOUN
ejpam-5295	68	7	in	in	ADP
ejpam-5295	68	8	graph	graph	NOUN
ejpam-5295	68	9	theory	theory	NOUN
ejpam-5295	68	10	,	,	PUNCT
ejpam-5295	68	11	each	each	PRON
ejpam-5295	68	12	serving	serve	VERB
ejpam-5295	68	13	important	important	ADJ
ejpam-5295	68	14	roles	role	NOUN
ejpam-5295	68	15	in	in	ADP
ejpam-5295	68	16	various	various	ADJ
ejpam-5295	68	17	real	real	ADJ
ejpam-5295	68	18	-	-	PUNCT
ejpam-5295	68	19	world	world	NOUN
ejpam-5295	68	20	applications	application	NOUN
ejpam-5295	68	21	.	.	PUNCT
ejpam-5295	69	1	the	the	DET
ejpam-5295	69	2	md	md	PROPN
ejpam-5295	69	3	of	of	ADP
ejpam-5295	69	4	a	a	DET
ejpam-5295	69	5	graph	graph	NOUN
ejpam-5295	69	6	determines	determine	VERB
ejpam-5295	69	7	the	the	DET
ejpam-5295	69	8	smallest	small	ADJ
ejpam-5295	69	9	set	set	NOUN
ejpam-5295	69	10	of	of	ADP
ejpam-5295	69	11	vertices	vertex	NOUN
ejpam-5295	69	12	necessary	necessary	ADJ
ejpam-5295	69	13	to	to	PART
ejpam-5295	69	14	uniquely	uniquely	ADV
ejpam-5295	69	15	identify	identify	VERB
ejpam-5295	69	16	all	all	DET
ejpam-5295	69	17	other	other	ADJ
ejpam-5295	69	18	vertices	vertex	NOUN
ejpam-5295	69	19	within	within	ADP
ejpam-5295	69	20	the	the	DET
ejpam-5295	69	21	graph	graph	NOUN
ejpam-5295	69	22	.	.	PUNCT
ejpam-5295	70	1	this	this	DET
ejpam-5295	70	2	parameter	parameter	NOUN
ejpam-5295	70	3	is	be	AUX
ejpam-5295	70	4	essential	essential	ADJ
ejpam-5295	70	5	in	in	ADP
ejpam-5295	70	6	network	network	NOUN
ejpam-5295	70	7	optimization	optimization	NOUN
ejpam-5295	70	8	,	,	PUNCT
ejpam-5295	70	9	aiding	aid	VERB
ejpam-5295	70	10	in	in	ADP
ejpam-5295	70	11	the	the	DET
ejpam-5295	70	12	development	development	NOUN
ejpam-5295	70	13	of	of	ADP
ejpam-5295	70	14	efficient	efficient	ADJ
ejpam-5295	70	15	routing	routing	NOUN
ejpam-5295	70	16	protocols	protocol	NOUN
ejpam-5295	70	17	and	and	CCONJ
ejpam-5295	70	18	fault	fault	VERB
ejpam-5295	70	19	diagnosis	diagnosis	NOUN
ejpam-5295	70	20	algorithms	algorithm	NOUN
ejpam-5295	70	21	.	.	PUNCT
ejpam-5295	71	1	by	by	ADP
ejpam-5295	71	2	pinpointing	pinpoint	VERB
ejpam-5295	71	3	critical	critical	ADJ
ejpam-5295	71	4	vertices	vertex	NOUN
ejpam-5295	71	5	,	,	PUNCT
ejpam-5295	71	6	network	network	NOUN
ejpam-5295	71	7	monitoring	monitoring	NOUN
ejpam-5295	71	8	and	and	CCONJ
ejpam-5295	71	9	control	control	NOUN
ejpam-5295	71	10	become	become	VERB
ejpam-5295	71	11	more	more	ADV
ejpam-5295	71	12	effective	effective	ADJ
ejpam-5295	71	13	,	,	PUNCT
ejpam-5295	71	14	enhancing	enhance	VERB
ejpam-5295	71	15	overall	overall	ADJ
ejpam-5295	71	16	resilience	resilience	NOUN
ejpam-5295	71	17	and	and	CCONJ
ejpam-5295	71	18	performance	performance	NOUN
ejpam-5295	71	19	.	.	PUNCT
ejpam-5295	72	1	moreover	moreover	ADV
ejpam-5295	72	2	,	,	PUNCT
ejpam-5295	72	3	applications	application	NOUN
ejpam-5295	72	4	such	such	ADJ
ejpam-5295	72	5	as	as	ADP
ejpam-5295	72	6	location	location	NOUN
ejpam-5295	72	7	determination	determination	NOUN
ejpam-5295	72	8	systems	system	NOUN
ejpam-5295	72	9	benefit	benefit	VERB
ejpam-5295	72	10	from	from	ADP
ejpam-5295	72	11	the	the	DET
ejpam-5295	72	12	md	md	PROPN
ejpam-5295	72	13	by	by	ADP
ejpam-5295	72	14	enabling	enable	VERB
ejpam-5295	72	15	precise	precise	ADJ
ejpam-5295	72	16	spatial	spatial	ADJ
ejpam-5295	72	17	inference	inference	NOUN
ejpam-5295	72	18	and	and	CCONJ
ejpam-5295	72	19	object	object	VERB
ejpam-5295	72	20	tracking	tracking	NOUN
ejpam-5295	72	21	within	within	ADP
ejpam-5295	72	22	graph	graph	NOUN
ejpam-5295	72	23	-	-	PUNCT
ejpam-5295	72	24	based	base	VERB
ejpam-5295	72	25	environments	environment	NOUN
ejpam-5295	72	26	.	.	PUNCT
ejpam-5295	73	1	similarly	similarly	ADV
ejpam-5295	73	2	,	,	PUNCT
ejpam-5295	73	3	the	the	DET
ejpam-5295	73	4	emd	emd	PROPN
ejpam-5295	73	5	focuses	focus	VERB
ejpam-5295	73	6	on	on	ADP
ejpam-5295	73	7	identifying	identify	VERB
ejpam-5295	73	8	the	the	DET
ejpam-5295	73	9	minimum	minimum	ADJ
ejpam-5295	73	10	set	set	NOUN
ejpam-5295	73	11	of	of	ADP
ejpam-5295	73	12	edges	edge	NOUN
ejpam-5295	73	13	required	require	VERB
ejpam-5295	73	14	to	to	PART
ejpam-5295	73	15	uniquely	uniquely	ADV
ejpam-5295	73	16	determine	determine	VERB
ejpam-5295	73	17	all	all	DET
ejpam-5295	73	18	other	other	ADJ
ejpam-5295	73	19	edges	edge	NOUN
ejpam-5295	73	20	in	in	ADP
ejpam-5295	73	21	a	a	DET
ejpam-5295	73	22	graph	graph	NOUN
ejpam-5295	73	23	.	.	PUNCT
ejpam-5295	74	1	this	this	DET
ejpam-5295	74	2	parameter	parameter	NOUN
ejpam-5295	74	3	finds	find	VERB
ejpam-5295	74	4	relevance	relevance	NOUN
ejpam-5295	74	5	in	in	ADP
ejpam-5295	74	6	circuit	circuit	NOUN
ejpam-5295	74	7	design	design	NOUN
ejpam-5295	74	8	and	and	CCONJ
ejpam-5295	74	9	testing	testing	NOUN
ejpam-5295	74	10	,	,	PUNCT
ejpam-5295	74	11	where	where	SCONJ
ejpam-5295	74	12	it	it	PRON
ejpam-5295	74	13	helps	help	VERB
ejpam-5295	74	14	reduce	reduce	VERB
ejpam-5295	74	15	the	the	DET
ejpam-5295	74	16	number	number	NOUN
ejpam-5295	74	17	of	of	ADP
ejpam-5295	74	18	test	test	NOUN
ejpam-5295	74	19	points	point	NOUN
ejpam-5295	74	20	needed	need	VERB
ejpam-5295	74	21	to	to	PART
ejpam-5295	74	22	diagnose	diagnose	VERB
ejpam-5295	74	23	faults	fault	NOUN
ejpam-5295	74	24	in	in	ADP
ejpam-5295	74	25	interconnected	interconnected	ADJ
ejpam-5295	74	26	electronic	electronic	ADJ
ejpam-5295	74	27	circuits	circuit	NOUN
ejpam-5295	74	28	.	.	PUNCT
ejpam-5295	75	1	in	in	ADP
ejpam-5295	75	2	transportation	transportation	NOUN
ejpam-5295	75	3	networks	network	NOUN
ejpam-5295	75	4	,	,	PUNCT
ejpam-5295	75	5	emd	emd	PROPN
ejpam-5295	75	6	optimization	optimization	NOUN
ejpam-5295	75	7	assists	assist	VERB
ejpam-5295	75	8	in	in	ADP
ejpam-5295	75	9	route	route	NOUN
ejpam-5295	75	10	planning	planning	NOUN
ejpam-5295	75	11	and	and	CCONJ
ejpam-5295	75	12	traffic	traffic	NOUN
ejpam-5295	75	13	management	management	NOUN
ejpam-5295	75	14	by	by	ADP
ejpam-5295	75	15	highlighting	highlight	VERB
ejpam-5295	75	16	critical	critical	ADJ
ejpam-5295	75	17	edges	edge	NOUN
ejpam-5295	75	18	whose	whose	DET
ejpam-5295	75	19	failure	failure	NOUN
ejpam-5295	75	20	or	or	CCONJ
ejpam-5295	75	21	congestion	congestion	NOUN
ejpam-5295	75	22	significantly	significantly	ADV
ejpam-5295	75	23	impacts	impact	VERB
ejpam-5295	75	24	network	network	NOUN
ejpam-5295	75	25	connectivity	connectivity	NOUN
ejpam-5295	75	26	and	and	CCONJ
ejpam-5295	75	27	flow	flow	NOUN
ejpam-5295	75	28	.	.	PUNCT
ejpam-5295	76	1	in	in	ADP
ejpam-5295	76	2	summary	summary	NOUN
ejpam-5295	76	3	,	,	PUNCT
ejpam-5295	76	4	both	both	DET
ejpam-5295	76	5	md	md	PROPN
ejpam-5295	76	6	and	and	CCONJ
ejpam-5295	76	7	emd	emd	PROPN
ejpam-5295	76	8	are	be	AUX
ejpam-5295	76	9	vital	vital	ADJ
ejpam-5295	76	10	tools	tool	NOUN
ejpam-5295	76	11	in	in	ADP
ejpam-5295	76	12	graph	graph	NOUN
ejpam-5295	76	13	analysis	analysis	NOUN
ejpam-5295	76	14	and	and	CCONJ
ejpam-5295	76	15	optimization	optimization	NOUN
ejpam-5295	76	16	,	,	PUNCT
ejpam-5295	76	17	contributing	contribute	VERB
ejpam-5295	76	18	to	to	ADP
ejpam-5295	76	19	the	the	DET
ejpam-5295	76	20	development	development	NOUN
ejpam-5295	76	21	of	of	ADP
ejpam-5295	76	22	robust	robust	ADJ
ejpam-5295	76	23	and	and	CCONJ
ejpam-5295	76	24	efficient	efficient	ADJ
ejpam-5295	76	25	systems	system	NOUN
ejpam-5295	76	26	across	across	ADP
ejpam-5295	76	27	various	various	ADJ
ejpam-5295	76	28	application	application	NOUN
ejpam-5295	76	29	domains	domain	NOUN
ejpam-5295	76	30	.	.	PUNCT
ejpam-5295	77	1	h	h	NOUN
ejpam-5295	77	2	-	-	PUNCT
ejpam-5295	77	3	bn	bn	NOUN
ejpam-5295	77	4	and	and	CCONJ
ejpam-5295	77	5	cnts	cnts	PROPN
ejpam-5295	77	6	are	be	AUX
ejpam-5295	77	7	two	two	NUM
ejpam-5295	77	8	remarkable	remarkable	ADJ
ejpam-5295	77	9	nanomaterials	nanomaterial	NOUN
ejpam-5295	77	10	that	that	PRON
ejpam-5295	77	11	hold	hold	VERB
ejpam-5295	77	12	immense	immense	ADJ
ejpam-5295	77	13	importance	importance	NOUN
ejpam-5295	77	14	across	across	ADP
ejpam-5295	77	15	multiple	multiple	ADJ
ejpam-5295	77	16	scientific	scientific	ADJ
ejpam-5295	77	17	disciplines	discipline	NOUN
ejpam-5295	77	18	.	.	PUNCT
ejpam-5295	78	1	h	h	NOUN
ejpam-5295	78	2	-	-	PUNCT
ejpam-5295	78	3	bn	bn	NOUN
ejpam-5295	78	4	,	,	PUNCT
ejpam-5295	78	5	with	with	ADP
ejpam-5295	78	6	its	its	PRON
ejpam-5295	78	7	unique	unique	ADJ
ejpam-5295	78	8	two	two	NUM
ejpam-5295	78	9	-	-	PUNCT
ejpam-5295	78	10	dimensional	dimensional	ADJ
ejpam-5295	78	11	hexagonal	hexagonal	ADJ
ejpam-5295	78	12	lattice	lattice	NOUN
ejpam-5295	78	13	structure	structure	NOUN
ejpam-5295	78	14	composed	compose	VERB
ejpam-5295	78	15	of	of	ADP
ejpam-5295	78	16	alternating	alternate	VERB
ejpam-5295	78	17	boron	boron	NOUN
ejpam-5295	78	18	and	and	CCONJ
ejpam-5295	78	19	nitrogen	nitrogen	NOUN
ejpam-5295	78	20	atoms	atom	NOUN
ejpam-5295	78	21	,	,	PUNCT
ejpam-5295	78	22	exhibits	exhibit	VERB
ejpam-5295	78	23	exceptional	exceptional	ADJ
ejpam-5295	78	24	thermal	thermal	ADJ
ejpam-5295	78	25	and	and	CCONJ
ejpam-5295	78	26	chemical	chemical	NOUN
ejpam-5295	78	27	stability	stability	NOUN
ejpam-5295	78	28	,	,	PUNCT
ejpam-5295	78	29	making	make	VERB
ejpam-5295	78	30	it	it	PRON
ejpam-5295	78	31	invaluable	invaluable	ADJ
ejpam-5295	78	32	in	in	ADP
ejpam-5295	78	33	various	various	ADJ
ejpam-5295	78	34	applications	application	NOUN
ejpam-5295	78	35	such	such	ADJ
ejpam-5295	78	36	as	as	ADP
ejpam-5295	78	37	hightemperature	hightemperature	ADJ
ejpam-5295	78	38	electronics	electronic	NOUN
ejpam-5295	78	39	,	,	PUNCT
ejpam-5295	78	40	lubricants	lubricant	NOUN
ejpam-5295	78	41	,	,	PUNCT
ejpam-5295	78	42	and	and	CCONJ
ejpam-5295	78	43	as	as	ADP
ejpam-5295	78	44	a	a	DET
ejpam-5295	78	45	substrate	substrate	NOUN
ejpam-5295	78	46	for	for	ADP
ejpam-5295	78	47	graphene	graphene	NOUN
ejpam-5295	78	48	-	-	PUNCT
ejpam-5295	78	49	based	base	VERB
ejpam-5295	78	50	devices	device	NOUN
ejpam-5295	78	51	due	due	ADP
ejpam-5295	78	52	to	to	ADP
ejpam-5295	78	53	its	its	PRON
ejpam-5295	78	54	insulating	insulate	VERB
ejpam-5295	78	55	properties	property	NOUN
ejpam-5295	78	56	.	.	PUNCT
ejpam-5295	79	1	on	on	ADP
ejpam-5295	79	2	the	the	DET
ejpam-5295	79	3	other	other	ADJ
ejpam-5295	79	4	hand	hand	NOUN
ejpam-5295	79	5	,	,	PUNCT
ejpam-5295	79	6	cnts	cnts	PROPN
ejpam-5295	79	7	,	,	PUNCT
ejpam-5295	79	8	cylindrical	cylindrical	ADJ
ejpam-5295	79	9	nanostructures	nanostructure	NOUN
ejpam-5295	79	10	formed	form	VERB
ejpam-5295	79	11	by	by	ADP
ejpam-5295	79	12	rolled	roll	VERB
ejpam-5295	79	13	-	-	PUNCT
ejpam-5295	79	14	up	up	ADP
ejpam-5295	79	15	graphene	graphene	NOUN
ejpam-5295	79	16	sheets	sheet	NOUN
ejpam-5295	79	17	,	,	PUNCT
ejpam-5295	79	18	possess	possess	VERB
ejpam-5295	79	19	extraordinary	extraordinary	ADJ
ejpam-5295	79	20	mechanical	mechanical	ADJ
ejpam-5295	79	21	strength	strength	NOUN
ejpam-5295	79	22	,	,	PUNCT
ejpam-5295	79	23	thermal	thermal	ADJ
ejpam-5295	79	24	conductivity	conductivity	NOUN
ejpam-5295	79	25	,	,	PUNCT
ejpam-5295	79	26	and	and	CCONJ
ejpam-5295	79	27	electrical	electrical	ADJ
ejpam-5295	79	28	properties	property	NOUN
ejpam-5295	79	29	,	,	PUNCT
ejpam-5295	79	30	rendering	render	VERB
ejpam-5295	79	31	them	they	PRON
ejpam-5295	79	32	indispensable	indispensable	ADJ
ejpam-5295	79	33	in	in	ADP
ejpam-5295	79	34	fields	field	NOUN
ejpam-5295	79	35	ranging	range	VERB
ejpam-5295	79	36	from	from	ADP
ejpam-5295	79	37	nanoelectronics	nanoelectronic	NOUN
ejpam-5295	79	38	and	and	CCONJ
ejpam-5295	79	39	composite	composite	ADJ
ejpam-5295	79	40	materials	material	NOUN
ejpam-5295	79	41	to	to	ADP
ejpam-5295	79	42	biomedical	biomedical	ADJ
ejpam-5295	79	43	applications	application	NOUN
ejpam-5295	79	44	like	like	ADP
ejpam-5295	79	45	drug	drug	NOUN
ejpam-5295	79	46	delivery	delivery	NOUN
ejpam-5295	79	47	and	and	CCONJ
ejpam-5295	79	48	biosensors	biosensor	NOUN
ejpam-5295	79	49	.	.	PUNCT
ejpam-5295	80	1	both	both	DET
ejpam-5295	80	2	h	h	NOUN
ejpam-5295	80	3	-	-	PUNCT
ejpam-5295	80	4	bn	bn	NOUN
ejpam-5295	80	5	and	and	CCONJ
ejpam-5295	80	6	cnts	cnts	PROPN
ejpam-5295	80	7	represent	represent	VERB
ejpam-5295	80	8	cutting	cutting	NOUN
ejpam-5295	80	9	-	-	PUNCT
ejpam-5295	80	10	edge	edge	NOUN
ejpam-5295	80	11	materials	material	NOUN
ejpam-5295	80	12	with	with	ADP
ejpam-5295	80	13	diverse	diverse	ADJ
ejpam-5295	80	14	functionalities	functionality	NOUN
ejpam-5295	80	15	,	,	PUNCT
ejpam-5295	80	16	offering	offer	VERB
ejpam-5295	80	17	enormous	enormous	ADJ
ejpam-5295	80	18	potential	potential	NOUN
ejpam-5295	80	19	for	for	ADP
ejpam-5295	80	20	technological	technological	ADJ
ejpam-5295	80	21	innovation	innovation	NOUN
ejpam-5295	80	22	and	and	CCONJ
ejpam-5295	80	23	advancement	advancement	NOUN
ejpam-5295	80	24	across	across	ADP
ejpam-5295	80	25	a	a	DET
ejpam-5295	80	26	wide	wide	ADJ
ejpam-5295	80	27	spectrum	spectrum	NOUN
ejpam-5295	80	28	of	of	ADP
ejpam-5295	80	29	industries	industry	NOUN
ejpam-5295	80	30	.	.	PUNCT
ejpam-5295	81	1	understanding	understand	VERB
ejpam-5295	81	2	their	their	PRON
ejpam-5295	81	3	properties	property	NOUN
ejpam-5295	81	4	and	and	CCONJ
ejpam-5295	81	5	harnessing	harness	VERB
ejpam-5295	81	6	their	their	PRON
ejpam-5295	81	7	capabilities	capability	NOUN
ejpam-5295	81	8	is	be	AUX
ejpam-5295	81	9	crucial	crucial	ADJ
ejpam-5295	81	10	for	for	ADP
ejpam-5295	81	11	unlocking	unlock	VERB
ejpam-5295	81	12	their	their	PRON
ejpam-5295	81	13	full	full	ADJ
ejpam-5295	81	14	potential	potential	NOUN
ejpam-5295	81	15	in	in	ADP
ejpam-5295	81	16	addressing	address	VERB
ejpam-5295	81	17	current	current	ADJ
ejpam-5295	81	18	and	and	CCONJ
ejpam-5295	81	19	future	future	ADJ
ejpam-5295	81	20	societal	societal	ADJ
ejpam-5295	81	21	challenges	challenge	NOUN
ejpam-5295	81	22	.	.	PUNCT
ejpam-5295	82	1	2	2	X
ejpam-5295	82	2	.	.	X
ejpam-5295	82	3	ghexagonal	ghexagonal	ADJ
ejpam-5295	82	4	boron	boron	NOUN
ejpam-5295	82	5	nitride	nitride	NOUN
ejpam-5295	82	6	(	(	PUNCT
ejpam-5295	82	7	h	h	NOUN
ejpam-5295	82	8	-	-	PUNCT
ejpam-5295	82	9	bn	bn	NOUN
ejpam-5295	82	10	)	)	PUNCT
ejpam-5295	82	11	a	a	DET
ejpam-5295	82	12	straightforward	straightforward	ADJ
ejpam-5295	82	13	linked	link	VERB
ejpam-5295	82	14	graph	graph	NOUN
ejpam-5295	82	15	representing	represent	VERB
ejpam-5295	82	16	the	the	DET
ejpam-5295	82	17	h	h	NOUN
ejpam-5295	82	18	-	-	PUNCT
ejpam-5295	82	19	bn	bn	ADJ
ejpam-5295	82	20	structure	structure	NOUN
ejpam-5295	82	21	shows	show	VERB
ejpam-5295	82	22	how	how	SCONJ
ejpam-5295	82	23	its	its	PRON
ejpam-5295	82	24	horizontal	horizontal	ADJ
ejpam-5295	82	25	and	and	CCONJ
ejpam-5295	82	26	vertical	vertical	ADJ
ejpam-5295	82	27	cells	cell	NOUN
ejpam-5295	82	28	are	be	AUX
ejpam-5295	82	29	arranged	arrange	VERB
ejpam-5295	82	30	,	,	PUNCT
ejpam-5295	82	31	as	as	SCONJ
ejpam-5295	82	32	seen	see	VERB
ejpam-5295	82	33	in	in	ADP
ejpam-5295	82	34	figure	figure	NOUN
ejpam-5295	82	35	1	1	NUM
ejpam-5295	82	36	.	.	PUNCT
ejpam-5295	83	1	the	the	DET
ejpam-5295	83	2	total	total	ADJ
ejpam-5295	83	3	number	number	NOUN
ejpam-5295	83	4	of	of	ADP
ejpam-5295	83	5	cells	cell	NOUN
ejpam-5295	83	6	is	be	AUX
ejpam-5295	83	7	n×n	n×n	PROPN
ejpam-5295	83	8	,	,	PUNCT
ejpam-5295	83	9	where	where	SCONJ
ejpam-5295	83	10	n	n	PRON
ejpam-5295	83	11	represents	represent	VERB
ejpam-5295	83	12	the	the	DET
ejpam-5295	83	13	number	number	NOUN
ejpam-5295	83	14	of	of	ADP
ejpam-5295	83	15	horizontal	horizontal	ADJ
ejpam-5295	83	16	cells	cell	NOUN
ejpam-5295	83	17	.	.	PUNCT
ejpam-5295	84	1	2n2	2n2	NUM
ejpam-5295	84	2	+	+	NOUN
ejpam-5295	84	3	4n	4n	NOUN
ejpam-5295	84	4	is	be	AUX
ejpam-5295	84	5	the	the	DET
ejpam-5295	84	6	computation	computation	NOUN
ejpam-5295	84	7	used	use	VERB
ejpam-5295	84	8	u.	u.	PROPN
ejpam-5295	84	9	farooq	farooq	PROPN
ejpam-5295	84	10	et	et	PROPN
ejpam-5295	84	11	al	al	PROPN
ejpam-5295	84	12	.	.	PUNCT
ejpam-5295	84	13	/	/	SYM
ejpam-5295	84	14	eur	eur	PROPN
ejpam-5295	84	15	.	.	PUNCT
ejpam-5295	85	1	j.	j.	PROPN
ejpam-5295	85	2	pure	pure	PROPN
ejpam-5295	85	3	appl	appl	PROPN
ejpam-5295	85	4	.	.	PROPN
ejpam-5295	85	5	math	math	PROPN
ejpam-5295	85	6	,	,	PUNCT
ejpam-5295	85	7	17	17	NUM
ejpam-5295	85	8	(	(	PUNCT
ejpam-5295	85	9	3	3	NUM
ejpam-5295	85	10	)	)	PUNCT
ejpam-5295	85	11	(	(	PUNCT
ejpam-5295	85	12	2024	2024	NUM
ejpam-5295	85	13	)	)	PUNCT
ejpam-5295	85	14	,	,	PUNCT
ejpam-5295	85	15	2055	2055	NUM
ejpam-5295	85	16	-	-	SYM
ejpam-5295	85	17	2072	2072	NUM
ejpam-5295	85	18	2058	2058	NUM
ejpam-5295	85	19	to	to	PART
ejpam-5295	85	20	determine	determine	VERB
ejpam-5295	85	21	the	the	DET
ejpam-5295	85	22	graph	graph	NOUN
ejpam-5295	85	23	’s	’s	PART
ejpam-5295	85	24	order	order	NOUN
ejpam-5295	85	25	,	,	PUNCT
ejpam-5295	85	26	denoted	denote	VERB
ejpam-5295	85	27	as	as	ADP
ejpam-5295	85	28	o(g	o(g	NOUN
ejpam-5295	85	29	)	)	PUNCT
ejpam-5295	85	30	.	.	PUNCT
ejpam-5295	86	1	bn	bn	PROPN
ejpam-5295	86	2	is	be	AUX
ejpam-5295	86	3	the	the	DET
ejpam-5295	86	4	acronym	acronym	NOUN
ejpam-5295	86	5	for	for	ADP
ejpam-5295	86	6	boron	boron	NOUN
ejpam-5295	86	7	nitride	nitride	NOUN
ejpam-5295	86	8	.	.	PUNCT
ejpam-5295	87	1	the	the	DET
ejpam-5295	87	2	cubic	cubic	ADJ
ejpam-5295	87	3	and	and	CCONJ
ejpam-5295	87	4	hexagonal	hexagonal	ADJ
ejpam-5295	87	5	covalent	covalent	NOUN
ejpam-5295	87	6	2d	2d	NUM
ejpam-5295	87	7	structures	structure	NOUN
ejpam-5295	87	8	are	be	AUX
ejpam-5295	87	9	the	the	DET
ejpam-5295	87	10	two	two	NUM
ejpam-5295	87	11	most	most	ADV
ejpam-5295	87	12	prominent	prominent	ADJ
ejpam-5295	87	13	ones	one	NOUN
ejpam-5295	87	14	within	within	ADP
ejpam-5295	87	15	the	the	DET
ejpam-5295	87	16	boron	boron	NOUN
ejpam-5295	87	17	nitride	nitride	NOUN
ejpam-5295	87	18	graph	graph	NOUN
ejpam-5295	87	19	.	.	PUNCT
ejpam-5295	88	1	the	the	DET
ejpam-5295	88	2	hexagonal	hexagonal	ADJ
ejpam-5295	88	3	boron	boron	NOUN
ejpam-5295	88	4	nitride	nitride	NOUN
ejpam-5295	88	5	graph	graph	NOUN
ejpam-5295	88	6	is	be	AUX
ejpam-5295	88	7	the	the	DET
ejpam-5295	88	8	particular	particular	ADJ
ejpam-5295	88	9	subject	subject	NOUN
ejpam-5295	88	10	of	of	ADP
ejpam-5295	88	11	our	our	PRON
ejpam-5295	88	12	investigation	investigation	NOUN
ejpam-5295	88	13	[	[	X
ejpam-5295	88	14	27	27	NUM
ejpam-5295	88	15	]	]	PUNCT
ejpam-5295	88	16	.	.	PUNCT
ejpam-5295	89	1	figure	figure	NOUN
ejpam-5295	89	2	1	1	NUM
ejpam-5295	89	3	.	.	PUNCT
ejpam-5295	89	4	hexagonal	hexagonal	ADJ
ejpam-5295	89	5	boron	boron	NOUN
ejpam-5295	89	6	nitride	nitride	NOUN
ejpam-5295	89	7	boron	boron	NOUN
ejpam-5295	89	8	nitride	nitride	NOUN
ejpam-5295	89	9	is	be	AUX
ejpam-5295	89	10	renowned	renowned	ADJ
ejpam-5295	89	11	for	for	ADP
ejpam-5295	89	12	its	its	PRON
ejpam-5295	89	13	exceptional	exceptional	ADJ
ejpam-5295	89	14	heat	heat	NOUN
ejpam-5295	89	15	stability	stability	NOUN
ejpam-5295	89	16	,	,	PUNCT
ejpam-5295	89	17	characterized	characterize	VERB
ejpam-5295	89	18	by	by	ADP
ejpam-5295	89	19	a	a	DET
ejpam-5295	89	20	low	low	ADJ
ejpam-5295	89	21	melting	melting	NOUN
ejpam-5295	89	22	point	point	NOUN
ejpam-5295	89	23	of	of	ADP
ejpam-5295	89	24	3000	3000	NUM
ejpam-5295	89	25	°	°	NOUN
ejpam-5295	89	26	c	c	NOUN
ejpam-5295	89	27	.	.	PUNCT
ejpam-5295	90	1	its	its	PRON
ejpam-5295	90	2	structure	structure	NOUN
ejpam-5295	90	3	consists	consist	VERB
ejpam-5295	90	4	of	of	ADP
ejpam-5295	90	5	a	a	DET
ejpam-5295	90	6	hexagonal	hexagonal	ADJ
ejpam-5295	90	7	arrangement	arrangement	NOUN
ejpam-5295	90	8	of	of	ADP
ejpam-5295	90	9	boron	boron	NOUN
ejpam-5295	90	10	and	and	CCONJ
ejpam-5295	90	11	nitrogen	nitrogen	NOUN
ejpam-5295	90	12	atoms	atom	NOUN
ejpam-5295	90	13	,	,	PUNCT
ejpam-5295	90	14	interconnected	interconnect	VERB
ejpam-5295	90	15	alternately	alternately	ADV
ejpam-5295	90	16	.	.	PUNCT
ejpam-5295	91	1	within	within	ADP
ejpam-5295	91	2	this	this	DET
ejpam-5295	91	3	framework	framework	NOUN
ejpam-5295	91	4	,	,	PUNCT
ejpam-5295	91	5	an	an	DET
ejpam-5295	91	6	equal	equal	ADJ
ejpam-5295	91	7	number	number	NOUN
ejpam-5295	91	8	of	of	ADP
ejpam-5295	91	9	boron	boron	NOUN
ejpam-5295	91	10	and	and	CCONJ
ejpam-5295	91	11	nitrogen	nitrogen	NOUN
ejpam-5295	91	12	atoms	atom	NOUN
ejpam-5295	91	13	contribute	contribute	VERB
ejpam-5295	91	14	to	to	ADP
ejpam-5295	91	15	the	the	DET
ejpam-5295	91	16	formation	formation	NOUN
ejpam-5295	91	17	of	of	ADP
ejpam-5295	91	18	hexagons	hexagon	NOUN
ejpam-5295	91	19	,	,	PUNCT
ejpam-5295	91	20	with	with	ADP
ejpam-5295	91	21	a	a	DET
ejpam-5295	91	22	bond	bond	NOUN
ejpam-5295	91	23	length	length	NOUN
ejpam-5295	91	24	of	of	ADP
ejpam-5295	91	25	0.145	0.145	NUM
ejpam-5295	91	26	nm	nm	NOUN
ejpam-5295	91	27	between	between	ADP
ejpam-5295	91	28	these	these	DET
ejpam-5295	91	29	atoms	atom	NOUN
ejpam-5295	91	30	.	.	PUNCT
ejpam-5295	92	1	the	the	DET
ejpam-5295	92	2	single	single	ADJ
ejpam-5295	92	3	-	-	PUNCT
ejpam-5295	92	4	layered	layered	ADJ
ejpam-5295	92	5	hexagonal	hexagonal	ADJ
ejpam-5295	92	6	structure	structure	NOUN
ejpam-5295	92	7	of	of	ADP
ejpam-5295	92	8	hexagonal	hexagonal	ADJ
ejpam-5295	92	9	bn	bn	PROPN
ejpam-5295	92	10	is	be	AUX
ejpam-5295	92	11	widely	widely	ADV
ejpam-5295	92	12	utilized	utilize	VERB
ejpam-5295	92	13	due	due	ADP
ejpam-5295	92	14	to	to	ADP
ejpam-5295	92	15	its	its	PRON
ejpam-5295	92	16	notable	notable	ADJ
ejpam-5295	92	17	properties	property	NOUN
ejpam-5295	92	18	[	[	X
ejpam-5295	92	19	27	27	NUM
ejpam-5295	92	20	]	]	PUNCT
ejpam-5295	92	21	.	.	PUNCT
ejpam-5295	93	1	understanding	understand	VERB
ejpam-5295	93	2	the	the	DET
ejpam-5295	93	3	md	md	PROPN
ejpam-5295	93	4	and	and	CCONJ
ejpam-5295	93	5	emd	emd	PROPN
ejpam-5295	93	6	of	of	ADP
ejpam-5295	93	7	h	h	PROPN
ejpam-5295	93	8	-	-	PUNCT
ejpam-5295	93	9	bn	bn	NOUN
ejpam-5295	93	10	is	be	AUX
ejpam-5295	93	11	crucial	crucial	ADJ
ejpam-5295	93	12	in	in	ADP
ejpam-5295	93	13	advancing	advance	VERB
ejpam-5295	93	14	practical	practical	ADJ
ejpam-5295	93	15	materials	material	NOUN
ejpam-5295	93	16	and	and	CCONJ
ejpam-5295	93	17	technologies	technology	NOUN
ejpam-5295	93	18	based	base	VERB
ejpam-5295	93	19	on	on	ADP
ejpam-5295	93	20	this	this	DET
ejpam-5295	93	21	remarkable	remarkable	ADJ
ejpam-5295	93	22	two	two	NUM
ejpam-5295	93	23	-	-	PUNCT
ejpam-5295	93	24	dimensional	dimensional	ADJ
ejpam-5295	93	25	system	system	NOUN
ejpam-5295	93	26	.	.	PUNCT
ejpam-5295	94	1	precisely	precisely	ADV
ejpam-5295	94	2	determining	determine	VERB
ejpam-5295	94	3	the	the	DET
ejpam-5295	94	4	minimum	minimum	ADJ
ejpam-5295	94	5	number	number	NOUN
ejpam-5295	94	6	of	of	ADP
ejpam-5295	94	7	reference	reference	NOUN
ejpam-5295	94	8	points	point	NOUN
ejpam-5295	94	9	needed	need	VERB
ejpam-5295	94	10	to	to	PART
ejpam-5295	94	11	accurately	accurately	ADV
ejpam-5295	94	12	ascertain	ascertain	VERB
ejpam-5295	94	13	the	the	DET
ejpam-5295	94	14	locations	location	NOUN
ejpam-5295	94	15	and	and	CCONJ
ejpam-5295	94	16	distances	distance	NOUN
ejpam-5295	94	17	of	of	ADP
ejpam-5295	94	18	all	all	DET
ejpam-5295	94	19	atoms	atom	NOUN
ejpam-5295	94	20	enhances	enhance	VERB
ejpam-5295	94	21	the	the	DET
ejpam-5295	94	22	design	design	NOUN
ejpam-5295	94	23	and	and	CCONJ
ejpam-5295	94	24	functionality	functionality	NOUN
ejpam-5295	94	25	of	of	ADP
ejpam-5295	94	26	electronic	electronic	ADJ
ejpam-5295	94	27	devices	device	NOUN
ejpam-5295	94	28	,	,	PUNCT
ejpam-5295	94	29	sensors	sensor	NOUN
ejpam-5295	94	30	,	,	PUNCT
ejpam-5295	94	31	and	and	CCONJ
ejpam-5295	94	32	catalysts	catalyst	NOUN
ejpam-5295	94	33	reliant	reliant	ADJ
ejpam-5295	94	34	on	on	ADP
ejpam-5295	94	35	h	h	NOUN
ejpam-5295	94	36	-	-	PUNCT
ejpam-5295	94	37	bn	bn	NOUN
ejpam-5295	94	38	.	.	PUNCT
ejpam-5295	95	1	this	this	DET
ejpam-5295	95	2	study	study	NOUN
ejpam-5295	95	3	has	have	VERB
ejpam-5295	95	4	the	the	DET
ejpam-5295	95	5	potential	potential	NOUN
ejpam-5295	95	6	to	to	PART
ejpam-5295	95	7	uncover	uncover	VERB
ejpam-5295	95	8	new	new	ADJ
ejpam-5295	95	9	avenues	avenue	NOUN
ejpam-5295	95	10	in	in	ADP
ejpam-5295	95	11	materials	material	NOUN
ejpam-5295	95	12	science	science	NOUN
ejpam-5295	95	13	,	,	PUNCT
ejpam-5295	95	14	graph	graph	NOUN
ejpam-5295	95	15	theory	theory	NOUN
ejpam-5295	95	16	,	,	PUNCT
ejpam-5295	95	17	and	and	CCONJ
ejpam-5295	95	18	two	two	NUM
ejpam-5295	95	19	-	-	PUNCT
ejpam-5295	95	20	dimensional	dimensional	ADJ
ejpam-5295	95	21	systems	system	NOUN
ejpam-5295	95	22	.	.	PUNCT
ejpam-5295	96	1	h	h	X
ejpam-5295	96	2	-	-	PUNCT
ejpam-5295	96	3	bn	bn	NOUN
ejpam-5295	96	4	consists	consist	NOUN
ejpam-5295	96	5	of	of	ADP
ejpam-5295	96	6	consecutive	consecutive	ADJ
ejpam-5295	96	7	boron	boron	NOUN
ejpam-5295	96	8	(	(	PUNCT
ejpam-5295	96	9	b	b	NOUN
ejpam-5295	96	10	)	)	PUNCT
ejpam-5295	96	11	and	and	CCONJ
ejpam-5295	96	12	nitrogen	nitrogen	NOUN
ejpam-5295	96	13	(	(	PUNCT
ejpam-5295	96	14	n	n	CCONJ
ejpam-5295	96	15	)	)	PUNCT
ejpam-5295	96	16	atoms	atom	NOUN
ejpam-5295	96	17	arranged	arrange	VERB
ejpam-5295	96	18	in	in	ADP
ejpam-5295	96	19	a	a	DET
ejpam-5295	96	20	hexagonal	hexagonal	ADJ
ejpam-5295	96	21	lattice	lattice	NOUN
ejpam-5295	96	22	structure	structure	NOUN
ejpam-5295	96	23	.	.	PUNCT
ejpam-5295	97	1	similar	similar	ADJ
ejpam-5295	97	2	to	to	ADP
ejpam-5295	97	3	graphite	graphite	NOUN
ejpam-5295	97	4	,	,	PUNCT
ejpam-5295	97	5	h	h	NOUN
ejpam-5295	97	6	-	-	PUNCT
ejpam-5295	97	7	bn	bn	NOUN
ejpam-5295	97	8	possesses	possess	VERB
ejpam-5295	97	9	a	a	DET
ejpam-5295	97	10	layered	layered	ADJ
ejpam-5295	97	11	architecture	architecture	NOUN
ejpam-5295	97	12	where	where	SCONJ
ejpam-5295	97	13	each	each	DET
ejpam-5295	97	14	layer	layer	NOUN
ejpam-5295	97	15	is	be	AUX
ejpam-5295	97	16	held	hold	VERB
ejpam-5295	97	17	together	together	ADV
ejpam-5295	97	18	by	by	ADP
ejpam-5295	97	19	van	van	PROPN
ejpam-5295	97	20	der	der	NOUN
ejpam-5295	97	21	waals	waal	NOUN
ejpam-5295	97	22	forces	force	NOUN
ejpam-5295	97	23	,	,	PUNCT
ejpam-5295	97	24	displaying	display	VERB
ejpam-5295	97	25	a	a	DET
ejpam-5295	97	26	hexagonal	hexagonal	ADJ
ejpam-5295	97	27	arrangement	arrangement	NOUN
ejpam-5295	97	28	of	of	ADP
ejpam-5295	97	29	atoms	atom	NOUN
ejpam-5295	97	30	.	.	PUNCT
ejpam-5295	98	1	theorem	theorem	VERB
ejpam-5295	98	2	2.1	2.1	NUM
ejpam-5295	98	3	.	.	PUNCT
ejpam-5295	99	1	for	for	ADP
ejpam-5295	99	2	the	the	DET
ejpam-5295	99	3	p	p	X
ejpam-5295	99	4	×	×	PROPN
ejpam-5295	99	5	l	l	NOUN
ejpam-5295	99	6	,	,	PUNCT
ejpam-5295	99	7	2	2	NUM
ejpam-5295	99	8	-	-	SYM
ejpam-5295	99	9	d	d	PROPN
ejpam-5295	99	10	lattice	lattice	NOUN
ejpam-5295	99	11	h	h	NOUN
ejpam-5295	99	12	−	−	NOUN
ejpam-5295	99	13	bn	bn	NOUN
ejpam-5295	99	14	graph	graph	NOUN
ejpam-5295	99	15	,	,	PUNCT
ejpam-5295	99	16	the	the	DET
ejpam-5295	99	17	md	md	PROPN
ejpam-5295	99	18	of	of	ADP
ejpam-5295	99	19	the	the	DET
ejpam-5295	99	20	hexagonal	hexagonal	ADJ
ejpam-5295	99	21	boron	boron	NOUN
ejpam-5295	99	22	nitride	nitride	NOUN
ejpam-5295	99	23	graph	graph	NOUN
ejpam-5295	99	24	is	be	AUX
ejpam-5295	99	25	2	2	NUM
ejpam-5295	99	26	.	.	PUNCT
ejpam-5295	100	1	proof	proof	NOUN
ejpam-5295	100	2	.	.	PUNCT
ejpam-5295	101	1	in	in	ADP
ejpam-5295	101	2	the	the	DET
ejpam-5295	101	3	context	context	NOUN
ejpam-5295	101	4	of	of	ADP
ejpam-5295	101	5	hexagonal	hexagonal	ADJ
ejpam-5295	101	6	boron	boron	NOUN
ejpam-5295	101	7	nitride	nitride	NOUN
ejpam-5295	101	8	(	(	PUNCT
ejpam-5295	101	9	h	h	NOUN
ejpam-5295	101	10	-	-	PUNCT
ejpam-5295	101	11	bn	bn	NUM
ejpam-5295	101	12	)	)	PUNCT
ejpam-5295	101	13	,	,	PUNCT
ejpam-5295	101	14	we	we	PRON
ejpam-5295	101	15	are	be	AUX
ejpam-5295	101	16	investigating	investigate	VERB
ejpam-5295	101	17	the	the	DET
ejpam-5295	101	18	vertex	vertex	NOUN
ejpam-5295	101	19	labeling	labeling	NOUN
ejpam-5295	101	20	depicted	depict	VERB
ejpam-5295	101	21	in	in	ADP
ejpam-5295	101	22	the	the	DET
ejpam-5295	101	23	diagram	diagram	NOUN
ejpam-5295	101	24	.	.	PUNCT
ejpam-5295	102	1	moving	move	VERB
ejpam-5295	102	2	on	on	ADP
ejpam-5295	102	3	,	,	PUNCT
ejpam-5295	102	4	let	let	VERB
ejpam-5295	102	5	us	we	PRON
ejpam-5295	102	6	consider	consider	VERB
ejpam-5295	102	7	a	a	DET
ejpam-5295	102	8	2d	2d	NUM
ejpam-5295	102	9	lattice	lattice	NOUN
ejpam-5295	102	10	of	of	ADP
ejpam-5295	102	11	h	h	NOUN
ejpam-5295	102	12	-	-	PUNCT
ejpam-5295	102	13	bn	bn	NOUN
ejpam-5295	102	14	nanotubes	nanotube	NOUN
ejpam-5295	102	15	of	of	ADP
ejpam-5295	102	16	dimensions	dimension	NOUN
ejpam-5295	102	17	p×	p×	PROPN
ejpam-5295	102	18	l.	l.	NOUN
ejpam-5295	102	19	the	the	DET
ejpam-5295	102	20	vertex	vertex	NOUN
ejpam-5295	102	21	set	set	VERB
ejpam-5295	102	22	in	in	ADP
ejpam-5295	102	23	this	this	DET
ejpam-5295	102	24	h	h	NOUN
ejpam-5295	102	25	-	-	PUNCT
ejpam-5295	102	26	bn	bn	NOUN
ejpam-5295	102	27	graph	graph	NOUN
ejpam-5295	102	28	is	be	AUX
ejpam-5295	102	29	divided	divide	VERB
ejpam-5295	102	30	according	accord	VERB
ejpam-5295	102	31	to	to	ADP
ejpam-5295	102	32	this	this	DET
ejpam-5295	102	33	arrangement	arrangement	NOUN
ejpam-5295	102	34	.	.	PUNCT
ejpam-5295	103	1	{	{	PUNCT
ejpam-5295	103	2	gξ(1,1	gξ(1,1	NOUN
ejpam-5295	103	3	)	)	PUNCT
ejpam-5295	103	4	,	,	PUNCT
ejpam-5295	103	5	gξ(1,2	gξ(1,2	NOUN
ejpam-5295	103	6	)	)	PUNCT
ejpam-5295	103	7	,	,	PUNCT
ejpam-5295	103	8	gξ(1,3	gξ(1,3	NOUN
ejpam-5295	103	9	)	)	PUNCT
ejpam-5295	103	10	,	,	PUNCT
ejpam-5295	103	11	.	.	PUNCT
ejpam-5295	103	12	.	.	PUNCT
ejpam-5295	104	1	.	.	PUNCT
ejpam-5295	105	1	,	,	PUNCT
ejpam-5295	105	2	gξ(1,l	gξ(1,l	PROPN
ejpam-5295	105	3	)	)	PUNCT
ejpam-5295	105	4	,	,	PUNCT
ejpam-5295	105	5	gξ(2,1	gξ(2,1	PROPN
ejpam-5295	105	6	)	)	PUNCT
ejpam-5295	105	7	,	,	PUNCT
ejpam-5295	105	8	gξ(2,2	gξ(2,2	PROPN
ejpam-5295	105	9	)	)	PUNCT
ejpam-5295	105	10	,	,	PUNCT
ejpam-5295	105	11	gξ(2,3	gξ(2,3	NOUN
ejpam-5295	105	12	)	)	PUNCT
ejpam-5295	105	13	,	,	PUNCT
ejpam-5295	105	14	.	.	PUNCT
ejpam-5295	105	15	.	.	PUNCT
ejpam-5295	106	1	.	.	PUNCT
ejpam-5295	107	1	,	,	PUNCT
ejpam-5295	107	2	gξ(2,l	gξ(2,l	PROPN
ejpam-5295	107	3	)	)	PUNCT
ejpam-5295	107	4	,	,	PUNCT
ejpam-5295	108	1	u.	u.	PROPN
ejpam-5295	108	2	farooq	farooq	PROPN
ejpam-5295	108	3	et	et	PROPN
ejpam-5295	108	4	al	al	PROPN
ejpam-5295	108	5	.	.	PUNCT
ejpam-5295	108	6	/	/	SYM
ejpam-5295	108	7	eur	eur	PROPN
ejpam-5295	108	8	.	.	PUNCT
ejpam-5295	109	1	j.	j.	PROPN
ejpam-5295	109	2	pure	pure	PROPN
ejpam-5295	109	3	appl	appl	PROPN
ejpam-5295	109	4	.	.	PROPN
ejpam-5295	109	5	math	math	PROPN
ejpam-5295	109	6	,	,	PUNCT
ejpam-5295	109	7	17	17	NUM
ejpam-5295	109	8	(	(	PUNCT
ejpam-5295	109	9	3	3	NUM
ejpam-5295	109	10	)	)	PUNCT
ejpam-5295	109	11	(	(	PUNCT
ejpam-5295	109	12	2024	2024	NUM
ejpam-5295	109	13	)	)	PUNCT
ejpam-5295	109	14	,	,	PUNCT
ejpam-5295	109	15	2055	2055	NUM
ejpam-5295	109	16	-	-	SYM
ejpam-5295	109	17	2072	2072	NUM
ejpam-5295	109	18	2059	2059	NUM
ejpam-5295	109	19	gξ(3,1	gξ(3,1	NOUN
ejpam-5295	109	20	)	)	PUNCT
ejpam-5295	109	21	,	,	PUNCT
ejpam-5295	109	22	gξ(3,2	gξ(3,2	NOUN
ejpam-5295	109	23	)	)	PUNCT
ejpam-5295	109	24	,	,	PUNCT
ejpam-5295	109	25	gξ(3,3	gξ(3,3	PROPN
ejpam-5295	109	26	)	)	PUNCT
ejpam-5295	109	27	,	,	PUNCT
ejpam-5295	109	28	.	.	PUNCT
ejpam-5295	109	29	.	.	PUNCT
ejpam-5295	110	1	.	.	PUNCT
ejpam-5295	111	1	,	,	PUNCT
ejpam-5295	111	2	gξ(3,l	gξ(3,l	NOUN
ejpam-5295	111	3	)	)	PUNCT
ejpam-5295	111	4	,	,	PUNCT
ejpam-5295	111	5	.	.	PUNCT
ejpam-5295	111	6	.	.	PUNCT
ejpam-5295	112	1	.	.	PUNCT
ejpam-5295	113	1	,	,	PUNCT
ejpam-5295	113	2	gξ(p,1	gξ(p,1	PROPN
ejpam-5295	113	3	)	)	PUNCT
ejpam-5295	113	4	,	,	PUNCT
ejpam-5295	113	5	gξ(p,2	gξ(p,2	NOUN
ejpam-5295	113	6	)	)	PUNCT
ejpam-5295	113	7	,	,	PUNCT
ejpam-5295	113	8	gξ(p,3	gξ(p,3	NOUN
ejpam-5295	113	9	)	)	PUNCT
ejpam-5295	113	10	,	,	PUNCT
ejpam-5295	113	11	.	.	PUNCT
ejpam-5295	113	12	.	.	PUNCT
ejpam-5295	114	1	.	.	PUNCT
ejpam-5295	115	1	,	,	PUNCT
ejpam-5295	115	2	gξ(p	gξ(p	PROPN
ejpam-5295	115	3	,	,	PUNCT
ejpam-5295	115	4	l	l	NOUN
ejpam-5295	115	5	)	)	PUNCT
ejpam-5295	115	6	}	}	PUNCT
ejpam-5295	115	7	consider	consider	VERB
ejpam-5295	115	8	z	z	NOUN
ejpam-5295	115	9	=	=	SYM
ejpam-5295	115	10	{	{	PUNCT
ejpam-5295	115	11	gξ(1,1	gξ(1,1	NOUN
ejpam-5295	115	12	)	)	PUNCT
ejpam-5295	115	13	,	,	PUNCT
ejpam-5295	115	14	gξ(1,2n+1	gξ(1,2n+1	PROPN
ejpam-5295	115	15	)	)	PUNCT
ejpam-5295	115	16	}	}	PUNCT
ejpam-5295	115	17	be	be	AUX
ejpam-5295	115	18	a	a	DET
ejpam-5295	115	19	resolving	resolving	NOUN
ejpam-5295	115	20	set	set	NOUN
ejpam-5295	115	21	.	.	PUNCT
ejpam-5295	115	22	aη(ξ	aη(ξ	PUNCT
ejpam-5295	115	23	)	)	PUNCT
ejpam-5295	116	1	=	=	SYM
ejpam-5295	116	2	2p	2p	NOUN
ejpam-5295	116	3	and	and	CCONJ
ejpam-5295	116	4	an	an	DET
ejpam-5295	116	5	=	=	NOUN
ejpam-5295	116	6	2n	2n	NUM
ejpam-5295	116	7	.	.	PUNCT
ejpam-5295	117	1	to	to	PART
ejpam-5295	117	2	indicate	indicate	VERB
ejpam-5295	117	3	the	the	DET
ejpam-5295	117	4	number	number	NOUN
ejpam-5295	117	5	of	of	ADP
ejpam-5295	117	6	rows	row	NOUN
ejpam-5295	117	7	,	,	PUNCT
ejpam-5295	117	8	vertices	vertex	NOUN
ejpam-5295	117	9	in	in	ADP
ejpam-5295	117	10	the	the	DET
ejpam-5295	117	11	rows	row	NOUN
ejpam-5295	117	12	,	,	PUNCT
ejpam-5295	117	13	and	and	CCONJ
ejpam-5295	117	14	cells	cell	NOUN
ejpam-5295	117	15	in	in	ADP
ejpam-5295	117	16	the	the	DET
ejpam-5295	117	17	first	first	ADJ
ejpam-5295	117	18	row	row	NOUN
ejpam-5295	117	19	,	,	PUNCT
ejpam-5295	117	20	use	use	VERB
ejpam-5295	117	21	the	the	DET
ejpam-5295	117	22	symbols	symbol	NOUN
ejpam-5295	117	23	p	p	X
ejpam-5295	117	24	,	,	PUNCT
ejpam-5295	117	25	l	l	NOUN
ejpam-5295	117	26	,	,	PUNCT
ejpam-5295	117	27	and	and	CCONJ
ejpam-5295	117	28	n.	n.	NOUN
ejpam-5295	117	29	figure	figure	NOUN
ejpam-5295	117	30	2	2	NUM
ejpam-5295	117	31	.	.	PUNCT
ejpam-5295	117	32	hexagonal	hexagonal	ADJ
ejpam-5295	117	33	boron	boron	NOUN
ejpam-5295	117	34	nitride	nitride	NOUN
ejpam-5295	117	35	graph	graph	NOUN
ejpam-5295	117	36	3×	3×	NUM
ejpam-5295	117	37	3	3	NUM
ejpam-5295	117	38	•	•	NOUN
ejpam-5295	117	39	case	case	NOUN
ejpam-5295	117	40	1	1	NUM
ejpam-5295	117	41	.	.	PUNCT
ejpam-5295	118	1	if	if	SCONJ
ejpam-5295	118	2	l	l	NOUN
ejpam-5295	118	3	is	be	AUX
ejpam-5295	118	4	odd	odd	ADJ
ejpam-5295	118	5	,	,	PUNCT
ejpam-5295	118	6	r(gξ(p	r(gξ(p	NOUN
ejpam-5295	118	7	,	,	PUNCT
ejpam-5295	118	8	l)|z	l)|z	NOUN
ejpam-5295	118	9	)	)	PUNCT
ejpam-5295	118	10	=	=	PRON
ejpam-5295	118	11	{	{	PUNCT
ejpam-5295	118	12	(	(	PUNCT
ejpam-5295	118	13	aη(ξ	aη(ξ	NOUN
ejpam-5295	118	14	)	)	PUNCT
ejpam-5295	118	15	−	−	PROPN
ejpam-5295	118	16	2	2	NUM
ejpam-5295	118	17	,	,	PUNCT
ejpam-5295	118	18	an	an	DET
ejpam-5295	118	19	+	+	NOUN
ejpam-5295	118	20	aη(ξ	aη(ξ	NOUN
ejpam-5295	118	21	)	)	PUNCT
ejpam-5295	118	22	−	−	PROPN
ejpam-5295	119	1	(	(	PUNCT
ejpam-5295	119	2	1	1	NUM
ejpam-5295	119	3	+	+	NUM
ejpam-5295	119	4	l	l	NOUN
ejpam-5295	119	5	)	)	PUNCT
ejpam-5295	119	6	)	)	PUNCT
ejpam-5295	120	1	for	for	ADP
ejpam-5295	120	2	1	1	NUM
ejpam-5295	120	3	≤	≤	NUM
ejpam-5295	120	4	l	l	NOUN
ejpam-5295	120	5	≤	≤	NOUN
ejpam-5295	120	6	aη(ξ	aη(ξ	NOUN
ejpam-5295	120	7	)	)	PUNCT
ejpam-5295	120	8	−	−	PROPN
ejpam-5295	121	1	1	1	NUM
ejpam-5295	121	2	(	(	PUNCT
ejpam-5295	121	3	l	l	NOUN
ejpam-5295	121	4	−	−	PROPN
ejpam-5295	121	5	1	1	NUM
ejpam-5295	121	6	,	,	PUNCT
ejpam-5295	121	7	an	an	DET
ejpam-5295	121	8	+	+	NOUN
ejpam-5295	121	9	aη(ξ	aη(ξ	NOUN
ejpam-5295	121	10	)	)	PUNCT
ejpam-5295	121	11	−	−	PROPN
ejpam-5295	122	1	(	(	PUNCT
ejpam-5295	122	2	l	l	NOUN
ejpam-5295	122	3	+	+	NOUN
ejpam-5295	122	4	1	1	NUM
ejpam-5295	122	5	)	)	PUNCT
ejpam-5295	122	6	)	)	PUNCT
ejpam-5295	122	7	otherwise	otherwise	ADV
ejpam-5295	122	8	•	•	NUM
ejpam-5295	122	9	case	case	NOUN
ejpam-5295	122	10	2	2	NUM
ejpam-5295	122	11	.	.	PUNCT
ejpam-5295	123	1	if	if	SCONJ
ejpam-5295	123	2	l	l	NOUN
ejpam-5295	123	3	is	be	AUX
ejpam-5295	123	4	even	even	ADV
ejpam-5295	123	5	,	,	PUNCT
ejpam-5295	123	6	r(gξ(p	r(gξ(p	NOUN
ejpam-5295	123	7	,	,	PUNCT
ejpam-5295	123	8	l)|z	l)|z	NOUN
ejpam-5295	123	9	)	)	PUNCT
ejpam-5295	123	10	=	=	PRON
ejpam-5295	123	11	{	{	PUNCT
ejpam-5295	123	12	(	(	PUNCT
ejpam-5295	123	13	aη(ξ	aη(ξ	NOUN
ejpam-5295	123	14	)	)	PUNCT
ejpam-5295	123	15	−	−	PROPN
ejpam-5295	123	16	3	3	NUM
ejpam-5295	123	17	,	,	PUNCT
ejpam-5295	123	18	an	an	DET
ejpam-5295	123	19	+	+	NOUN
ejpam-5295	123	20	aη(ξ	aη(ξ	NOUN
ejpam-5295	123	21	)	)	PUNCT
ejpam-5295	123	22	−	−	PROPN
ejpam-5295	124	1	(	(	PUNCT
ejpam-5295	124	2	1	1	NUM
ejpam-5295	124	3	+	+	NUM
ejpam-5295	124	4	l	l	NOUN
ejpam-5295	124	5	)	)	PUNCT
ejpam-5295	124	6	)	)	PUNCT
ejpam-5295	125	1	for	for	ADP
ejpam-5295	125	2	1	1	NUM
ejpam-5295	125	3	≤	≤	NUM
ejpam-5295	125	4	l	l	NOUN
ejpam-5295	125	5	≤	≤	NOUN
ejpam-5295	125	6	aη(ξ	aη(ξ	NOUN
ejpam-5295	125	7	)	)	PUNCT
ejpam-5295	125	8	−	−	PROPN
ejpam-5295	125	9	2	2	NUM
ejpam-5295	125	10	(	(	PUNCT
ejpam-5295	125	11	l	l	NOUN
ejpam-5295	125	12	−	−	PROPN
ejpam-5295	125	13	1	1	NUM
ejpam-5295	125	14	,	,	PUNCT
ejpam-5295	125	15	an	an	DET
ejpam-5295	125	16	+	+	NOUN
ejpam-5295	125	17	aη(ξ	aη(ξ	NOUN
ejpam-5295	125	18	)	)	PUNCT
ejpam-5295	125	19	−	−	PROPN
ejpam-5295	126	1	(	(	PUNCT
ejpam-5295	126	2	l	l	NOUN
ejpam-5295	126	3	+	+	NOUN
ejpam-5295	126	4	1	1	NUM
ejpam-5295	126	5	)	)	PUNCT
ejpam-5295	126	6	)	)	PUNCT
ejpam-5295	126	7	otherwise	otherwise	ADV
ejpam-5295	126	8	for	for	ADP
ejpam-5295	126	9	the	the	DET
ejpam-5295	126	10	last	last	ADJ
ejpam-5295	126	11	row	row	NOUN
ejpam-5295	126	12	•	•	NOUN
ejpam-5295	126	13	case	case	NOUN
ejpam-5295	126	14	3	3	X
ejpam-5295	126	15	.	.	PUNCT
ejpam-5295	127	1	if	if	SCONJ
ejpam-5295	127	2	l	l	NOUN
ejpam-5295	127	3	is	be	AUX
ejpam-5295	127	4	odd	odd	ADJ
ejpam-5295	127	5	,	,	PUNCT
ejpam-5295	127	6	r(gξ(p	r(gξ(p	NOUN
ejpam-5295	127	7	,	,	PUNCT
ejpam-5295	127	8	l)|z	l)|z	NOUN
ejpam-5295	127	9	)	)	PUNCT
ejpam-5295	127	10	=	=	PRON
ejpam-5295	127	11	{	{	PUNCT
ejpam-5295	127	12	(	(	PUNCT
ejpam-5295	127	13	aη(ξ	aη(ξ	NOUN
ejpam-5295	127	14	)	)	PUNCT
ejpam-5295	127	15	−	−	PROPN
ejpam-5295	127	16	3	3	NUM
ejpam-5295	127	17	,	,	PUNCT
ejpam-5295	127	18	an	an	DET
ejpam-5295	127	19	+	+	NOUN
ejpam-5295	127	20	aη(ξ	aη(ξ	NOUN
ejpam-5295	127	21	)	)	PUNCT
ejpam-5295	127	22	−	−	PROPN
ejpam-5295	128	1	(	(	PUNCT
ejpam-5295	128	2	l	l	NOUN
ejpam-5295	128	3	+	+	NOUN
ejpam-5295	128	4	2	2	NUM
ejpam-5295	128	5	)	)	PUNCT
ejpam-5295	128	6	)	)	PUNCT
ejpam-5295	128	7	for	for	ADP
ejpam-5295	128	8	1	1	NUM
ejpam-5295	128	9	≤	≤	NUM
ejpam-5295	128	10	l	l	NOUN
ejpam-5295	128	11	≤	≤	NOUN
ejpam-5295	128	12	aη(ξ	aη(ξ	NOUN
ejpam-5295	128	13	)	)	PUNCT
ejpam-5295	128	14	−	−	PROPN
ejpam-5295	128	15	3	3	NUM
ejpam-5295	128	16	(	(	PUNCT
ejpam-5295	128	17	l	l	NOUN
ejpam-5295	128	18	,	,	PUNCT
ejpam-5295	128	19	an	an	DET
ejpam-5295	128	20	+	+	NOUN
ejpam-5295	128	21	aη(ξ	aη(ξ	NOUN
ejpam-5295	128	22	)	)	PUNCT
ejpam-5295	128	23	−	−	PROPN
ejpam-5295	129	1	(	(	PUNCT
ejpam-5295	129	2	2	2	NUM
ejpam-5295	129	3	+	+	NUM
ejpam-5295	129	4	l	l	NOUN
ejpam-5295	129	5	)	)	PUNCT
ejpam-5295	129	6	)	)	PUNCT
ejpam-5295	130	1	otherwise	otherwise	ADV
ejpam-5295	130	2	u.	u.	PROPN
ejpam-5295	130	3	farooq	farooq	PROPN
ejpam-5295	130	4	et	et	PROPN
ejpam-5295	130	5	al	al	PROPN
ejpam-5295	130	6	.	.	PUNCT
ejpam-5295	130	7	/	/	SYM
ejpam-5295	130	8	eur	eur	PROPN
ejpam-5295	130	9	.	.	PUNCT
ejpam-5295	131	1	j.	j.	PROPN
ejpam-5295	131	2	pure	pure	PROPN
ejpam-5295	131	3	appl	appl	PROPN
ejpam-5295	131	4	.	.	PROPN
ejpam-5295	131	5	math	math	PROPN
ejpam-5295	131	6	,	,	PUNCT
ejpam-5295	131	7	17	17	NUM
ejpam-5295	131	8	(	(	PUNCT
ejpam-5295	131	9	3	3	NUM
ejpam-5295	131	10	)	)	PUNCT
ejpam-5295	131	11	(	(	PUNCT
ejpam-5295	131	12	2024	2024	NUM
ejpam-5295	131	13	)	)	PUNCT
ejpam-5295	131	14	,	,	PUNCT
ejpam-5295	131	15	2055	2055	NUM
ejpam-5295	131	16	-	-	SYM
ejpam-5295	131	17	2072	2072	NUM
ejpam-5295	131	18	2060	2060	NUM
ejpam-5295	131	19	•	•	NOUN
ejpam-5295	131	20	case	case	NOUN
ejpam-5295	131	21	4	4	NUM
ejpam-5295	131	22	.	.	PUNCT
ejpam-5295	132	1	if	if	SCONJ
ejpam-5295	132	2	l	l	NOUN
ejpam-5295	132	3	is	be	AUX
ejpam-5295	132	4	even	even	ADV
ejpam-5295	132	5	,	,	PUNCT
ejpam-5295	132	6	r(gξ(p	r(gξ(p	NOUN
ejpam-5295	132	7	,	,	PUNCT
ejpam-5295	132	8	l)|z	l)|z	NOUN
ejpam-5295	132	9	)	)	PUNCT
ejpam-5295	132	10	=	=	PRON
ejpam-5295	132	11	{	{	PUNCT
ejpam-5295	132	12	(	(	PUNCT
ejpam-5295	132	13	aη(ξ	aη(ξ	NOUN
ejpam-5295	132	14	)	)	PUNCT
ejpam-5295	132	15	−	−	PROPN
ejpam-5295	132	16	2	2	NUM
ejpam-5295	132	17	,	,	PUNCT
ejpam-5295	132	18	an	an	DET
ejpam-5295	132	19	+	+	NOUN
ejpam-5295	132	20	aη(ξ	aη(ξ	NOUN
ejpam-5295	132	21	)	)	PUNCT
ejpam-5295	132	22	−	−	PROPN
ejpam-5295	133	1	(	(	PUNCT
ejpam-5295	133	2	l	l	NOUN
ejpam-5295	133	3	+	+	NOUN
ejpam-5295	133	4	2	2	NUM
ejpam-5295	133	5	)	)	PUNCT
ejpam-5295	133	6	)	)	PUNCT
ejpam-5295	133	7	for	for	ADP
ejpam-5295	133	8	1	1	NUM
ejpam-5295	133	9	≤	≤	NUM
ejpam-5295	133	10	l	l	NOUN
ejpam-5295	133	11	≤	≤	NOUN
ejpam-5295	133	12	aη(i	aη(i	NOUN
ejpam-5295	133	13	)	)	PUNCT
ejpam-5295	133	14	−	−	ADP
ejpam-5295	133	15	2	2	NUM
ejpam-5295	133	16	(	(	PUNCT
ejpam-5295	133	17	l	l	NOUN
ejpam-5295	133	18	,	,	PUNCT
ejpam-5295	133	19	an	an	DET
ejpam-5295	133	20	+	+	NOUN
ejpam-5295	133	21	aη(ξ	aη(ξ	NOUN
ejpam-5295	133	22	)	)	PUNCT
ejpam-5295	133	23	−	−	PROPN
ejpam-5295	134	1	(	(	PUNCT
ejpam-5295	134	2	1	1	NUM
ejpam-5295	134	3	+	+	NUM
ejpam-5295	134	4	l	l	NOUN
ejpam-5295	134	5	)	)	PUNCT
ejpam-5295	134	6	)	)	PUNCT
ejpam-5295	135	1	otherwise	otherwise	ADV
ejpam-5295	135	2	the	the	DET
ejpam-5295	135	3	resolving	resolve	VERB
ejpam-5295	135	4	set	set	NOUN
ejpam-5295	135	5	z	z	PROPN
ejpam-5295	135	6	has	have	VERB
ejpam-5295	135	7	a	a	DET
ejpam-5295	135	8	minimum	minimum	ADJ
ejpam-5295	135	9	cardinality	cardinality	NOUN
ejpam-5295	135	10	is	be	AUX
ejpam-5295	135	11	two	two	NUM
ejpam-5295	135	12	.	.	PUNCT
ejpam-5295	136	1	therefore	therefore	ADV
ejpam-5295	136	2	,	,	PUNCT
ejpam-5295	136	3	the	the	DET
ejpam-5295	136	4	h	h	NOUN
ejpam-5295	136	5	-	-	PUNCT
ejpam-5295	136	6	bn	bn	NOUN
ejpam-5295	136	7	graph	graph	NOUN
ejpam-5295	136	8	’s	’s	PART
ejpam-5295	136	9	md	md	PROPN
ejpam-5295	136	10	is	be	AUX
ejpam-5295	136	11	2	2	NUM
ejpam-5295	136	12	.	.	PUNCT
ejpam-5295	136	13	theorem	theorem	VERB
ejpam-5295	136	14	2.2	2.2	NUM
ejpam-5295	136	15	.	.	PUNCT
ejpam-5295	137	1	for	for	ADP
ejpam-5295	137	2	the	the	DET
ejpam-5295	137	3	p×	p×	PROPN
ejpam-5295	137	4	l	l	NOUN
ejpam-5295	137	5	,	,	PUNCT
ejpam-5295	137	6	2	2	NUM
ejpam-5295	137	7	-	-	SYM
ejpam-5295	137	8	d	d	PROPN
ejpam-5295	137	9	lattice	lattice	NOUN
ejpam-5295	137	10	h−bn	h−bn	PROPN
ejpam-5295	137	11	graph	graph	NOUN
ejpam-5295	137	12	,	,	PUNCT
ejpam-5295	137	13	the	the	DET
ejpam-5295	137	14	emd	emd	PROPN
ejpam-5295	137	15	of	of	ADP
ejpam-5295	137	16	the	the	DET
ejpam-5295	137	17	h	h	PROPN
ejpam-5295	137	18	-	-	PUNCT
ejpam-5295	137	19	bn	bn	NOUN
ejpam-5295	137	20	graph	graph	NOUN
ejpam-5295	137	21	is	be	AUX
ejpam-5295	137	22	2	2	NUM
ejpam-5295	137	23	.	.	PUNCT
ejpam-5295	138	1	proof	proof	NOUN
ejpam-5295	138	2	.	.	PUNCT
ejpam-5295	139	1	a	a	DET
ejpam-5295	139	2	graph	graph	NOUN
ejpam-5295	139	3	g	g	NOUN
ejpam-5295	139	4	has	have	VERB
ejpam-5295	139	5	its	its	PRON
ejpam-5295	139	6	edges	edge	NOUN
ejpam-5295	139	7	divided	divide	VERB
ejpam-5295	139	8	into	into	ADP
ejpam-5295	139	9	discrete	discrete	ADJ
ejpam-5295	139	10	partitions	partition	NOUN
ejpam-5295	139	11	in	in	ADP
ejpam-5295	139	12	the	the	DET
ejpam-5295	139	13	following	following	ADJ
ejpam-5295	139	14	way	way	NOUN
ejpam-5295	139	15	:	:	PUNCT
ejpam-5295	139	16	{	{	PUNCT
ejpam-5295	139	17	e(1,1	e(1,1	NOUN
ejpam-5295	139	18	)	)	PUNCT
ejpam-5295	139	19	,	,	PUNCT
ejpam-5295	139	20	e(1,2	e(1,2	PROPN
ejpam-5295	139	21	)	)	PUNCT
ejpam-5295	139	22	,	,	PUNCT
ejpam-5295	139	23	e(1,3	e(1,3	PROPN
ejpam-5295	139	24	)	)	PUNCT
ejpam-5295	139	25	,	,	PUNCT
ejpam-5295	139	26	.	.	PUNCT
ejpam-5295	139	27	.	.	PUNCT
ejpam-5295	140	1	.	.	PUNCT
ejpam-5295	141	1	,	,	PUNCT
ejpam-5295	141	2	e(1,m	e(1,m	NOUN
ejpam-5295	141	3	)	)	PUNCT
ejpam-5295	141	4	,	,	PUNCT
ejpam-5295	141	5	e(2,1	e(2,1	NOUN
ejpam-5295	141	6	)	)	PUNCT
ejpam-5295	141	7	,	,	PUNCT
ejpam-5295	141	8	e(2,2	e(2,2	NOUN
ejpam-5295	141	9	)	)	PUNCT
ejpam-5295	141	10	,	,	PUNCT
ejpam-5295	141	11	e(2,3	e(2,3	NOUN
ejpam-5295	141	12	)	)	PUNCT
ejpam-5295	141	13	,	,	PUNCT
ejpam-5295	141	14	.	.	PUNCT
ejpam-5295	141	15	.	.	PUNCT
ejpam-5295	142	1	.	.	PUNCT
ejpam-5295	143	1	,	,	PUNCT
ejpam-5295	143	2	e(2,m	e(2,m	NOUN
ejpam-5295	143	3	)	)	PUNCT
ejpam-5295	143	4	,	,	PUNCT
ejpam-5295	143	5	e(3,1	e(3,1	PROPN
ejpam-5295	143	6	)	)	PUNCT
ejpam-5295	143	7	,	,	PUNCT
ejpam-5295	143	8	e(3,2	e(3,2	NOUN
ejpam-5295	143	9	)	)	PUNCT
ejpam-5295	143	10	,	,	PUNCT
ejpam-5295	143	11	gξ(3,3	gξ(3,3	PROPN
ejpam-5295	143	12	)	)	PUNCT
ejpam-5295	143	13	,	,	PUNCT
ejpam-5295	143	14	.	.	PUNCT
ejpam-5295	143	15	.	.	PUNCT
ejpam-5295	144	1	.	.	PUNCT
ejpam-5295	145	1	,	,	PUNCT
ejpam-5295	145	2	e(3,1	e(3,1	PROPN
ejpam-5295	145	3	)	)	PUNCT
ejpam-5295	145	4	,	,	PUNCT
ejpam-5295	145	5	.	.	PUNCT
ejpam-5295	145	6	.	.	PUNCT
ejpam-5295	146	1	.	.	PUNCT
ejpam-5295	147	1	,	,	PUNCT
ejpam-5295	147	2	e(i,1	e(i,1	PROPN
ejpam-5295	147	3	)	)	PUNCT
ejpam-5295	147	4	,	,	PUNCT
ejpam-5295	147	5	e(i,2	e(i,2	PROPN
ejpam-5295	147	6	)	)	PUNCT
ejpam-5295	147	7	,	,	PUNCT
ejpam-5295	147	8	e(i,3	e(i,3	PROPN
ejpam-5295	147	9	)	)	PUNCT
ejpam-5295	147	10	,	,	PUNCT
ejpam-5295	147	11	.	.	PUNCT
ejpam-5295	147	12	.	.	PUNCT
ejpam-5295	148	1	.	.	PUNCT
ejpam-5295	149	1	,	,	PUNCT
ejpam-5295	149	2	eξ(i	eξ(i	PROPN
ejpam-5295	149	3	,	,	PUNCT
ejpam-5295	149	4	m	m	NOUN
ejpam-5295	149	5	)	)	PUNCT
ejpam-5295	149	6	}	}	PUNCT
ejpam-5295	149	7	consider	consider	VERB
ejpam-5295	149	8	s	s	PRON
ejpam-5295	149	9	=	=	X
ejpam-5295	149	10	{	{	PUNCT
ejpam-5295	149	11	e(1,1	e(1,1	NOUN
ejpam-5295	149	12	)	)	PUNCT
ejpam-5295	149	13	,	,	PUNCT
ejpam-5295	149	14	e(1,2n	e(1,2n	X
ejpam-5295	149	15	)	)	PUNCT
ejpam-5295	149	16	}	}	PUNCT
ejpam-5295	149	17	be	be	AUX
ejpam-5295	149	18	a	a	DET
ejpam-5295	149	19	resolving	resolving	NOUN
ejpam-5295	149	20	set	set	NOUN
ejpam-5295	149	21	.	.	PUNCT
ejpam-5295	150	1	an	an	DET
ejpam-5295	150	2	=	=	NOUN
ejpam-5295	150	3	2n	2n	NUM
ejpam-5295	150	4	,	,	PUNCT
ejpam-5295	150	5	c	c	PROPN
ejpam-5295	150	6	=	=	SYM
ejpam-5295	150	7	i−	i−	PROPN
ejpam-5295	150	8	2	2	NUM
ejpam-5295	150	9	,	,	PUNCT
ejpam-5295	150	10	d	d	NOUN
ejpam-5295	150	11	=	=	PUNCT
ejpam-5295	150	12	m+	m+	NUM
ejpam-5295	150	13	1	1	NUM
ejpam-5295	150	14	.	.	PUNCT
ejpam-5295	150	15	to	to	PART
ejpam-5295	150	16	indicate	indicate	VERB
ejpam-5295	150	17	the	the	DET
ejpam-5295	150	18	number	number	NOUN
ejpam-5295	150	19	of	of	ADP
ejpam-5295	150	20	rows	row	NOUN
ejpam-5295	150	21	,	,	PUNCT
ejpam-5295	150	22	vertices	vertex	NOUN
ejpam-5295	150	23	in	in	ADP
ejpam-5295	150	24	the	the	DET
ejpam-5295	150	25	rows	row	NOUN
ejpam-5295	150	26	,	,	PUNCT
ejpam-5295	150	27	and	and	CCONJ
ejpam-5295	150	28	cells	cell	NOUN
ejpam-5295	150	29	in	in	ADP
ejpam-5295	150	30	the	the	DET
ejpam-5295	150	31	first	first	ADJ
ejpam-5295	150	32	row	row	NOUN
ejpam-5295	150	33	,	,	PUNCT
ejpam-5295	150	34	respectively	respectively	ADV
ejpam-5295	150	35	,	,	PUNCT
ejpam-5295	150	36	use	use	VERB
ejpam-5295	150	37	the	the	DET
ejpam-5295	150	38	symbols	symbol	NOUN
ejpam-5295	150	39	i	i	PRON
ejpam-5295	150	40	,	,	PUNCT
ejpam-5295	150	41	m	m	PROPN
ejpam-5295	150	42	,	,	PUNCT
ejpam-5295	150	43	and	and	CCONJ
ejpam-5295	150	44	n.	n.	NOUN
ejpam-5295	150	45	figure	figure	NOUN
ejpam-5295	150	46	3	3	NUM
ejpam-5295	150	47	.	.	PUNCT
ejpam-5295	150	48	hexagonal	hexagonal	ADJ
ejpam-5295	150	49	boron	boron	NOUN
ejpam-5295	150	50	nitride	nitride	NOUN
ejpam-5295	150	51	graph	graph	NOUN
ejpam-5295	150	52	3×	3×	NUM
ejpam-5295	151	1	3	3	NUM
ejpam-5295	151	2	u.	u.	PROPN
ejpam-5295	151	3	farooq	farooq	PROPN
ejpam-5295	151	4	et	et	PROPN
ejpam-5295	151	5	al	al	PROPN
ejpam-5295	151	6	.	.	PUNCT
ejpam-5295	151	7	/	/	SYM
ejpam-5295	151	8	eur	eur	PROPN
ejpam-5295	151	9	.	.	PUNCT
ejpam-5295	152	1	j.	j.	PROPN
ejpam-5295	152	2	pure	pure	PROPN
ejpam-5295	152	3	appl	appl	PROPN
ejpam-5295	152	4	.	.	PROPN
ejpam-5295	152	5	math	math	PROPN
ejpam-5295	152	6	,	,	PUNCT
ejpam-5295	152	7	17	17	NUM
ejpam-5295	152	8	(	(	PUNCT
ejpam-5295	152	9	3	3	NUM
ejpam-5295	152	10	)	)	PUNCT
ejpam-5295	152	11	(	(	PUNCT
ejpam-5295	152	12	2024	2024	NUM
ejpam-5295	152	13	)	)	PUNCT
ejpam-5295	152	14	,	,	PUNCT
ejpam-5295	152	15	2055	2055	NUM
ejpam-5295	152	16	-	-	SYM
ejpam-5295	152	17	2072	2072	NUM
ejpam-5295	152	18	2061	2061	NUM
ejpam-5295	152	19	•	•	NOUN
ejpam-5295	152	20	case	case	NOUN
ejpam-5295	152	21	1	1	NUM
ejpam-5295	152	22	.	.	PUNCT
ejpam-5295	153	1	if	if	SCONJ
ejpam-5295	153	2	i	i	PRON
ejpam-5295	153	3	is	be	AUX
ejpam-5295	153	4	odd	odd	ADJ
ejpam-5295	153	5	,	,	PUNCT
ejpam-5295	153	6	r(e(i	r(e(i	PROPN
ejpam-5295	153	7	,	,	PUNCT
ejpam-5295	153	8	m)|s	m)|s	NOUN
ejpam-5295	153	9	)	)	PUNCT
ejpam-5295	153	10	{	{	PUNCT
ejpam-5295	153	11	(	(	PUNCT
ejpam-5295	153	12	c	c	X
ejpam-5295	153	13	,	,	PUNCT
ejpam-5295	153	14	an	an	DET
ejpam-5295	153	15	+	+	NUM
ejpam-5295	153	16	i−	i−	PROPN
ejpam-5295	153	17	d	d	PROPN
ejpam-5295	153	18	)	)	PUNCT
ejpam-5295	153	19	for	for	ADP
ejpam-5295	153	20	i	i	PRON
ejpam-5295	153	21	>	>	X
ejpam-5295	153	22	m	m	PROPN
ejpam-5295	153	23	(	(	PUNCT
ejpam-5295	153	24	m−	m−	PROPN
ejpam-5295	153	25	1	1	NUM
ejpam-5295	153	26	,	,	PUNCT
ejpam-5295	153	27	an	an	DET
ejpam-5295	153	28	+	+	NUM
ejpam-5295	153	29	i−	i−	PROPN
ejpam-5295	153	30	d	d	PROPN
ejpam-5295	153	31	)	)	PUNCT
ejpam-5295	153	32	for	for	ADP
ejpam-5295	153	33	i	i	PRON
ejpam-5295	153	34	≤	≤	NUM
ejpam-5295	153	35	m	m	VERB
ejpam-5295	153	36	•	•	NOUN
ejpam-5295	153	37	case	case	NOUN
ejpam-5295	153	38	2	2	NUM
ejpam-5295	153	39	.	.	PUNCT
ejpam-5295	154	1	if	if	SCONJ
ejpam-5295	154	2	i	i	PRON
ejpam-5295	154	3	is	be	AUX
ejpam-5295	154	4	even	even	ADV
ejpam-5295	154	5	,	,	PUNCT
ejpam-5295	154	6	r(e(i	r(e(i	PROPN
ejpam-5295	154	7	,	,	PUNCT
ejpam-5295	154	8	m)|s	m)|s	NOUN
ejpam-5295	154	9	)	)	PUNCT
ejpam-5295	154	10	{	{	PUNCT
ejpam-5295	154	11	(	(	PUNCT
ejpam-5295	154	12	c	c	X
ejpam-5295	154	13	,	,	PUNCT
ejpam-5295	154	14	an	an	DET
ejpam-5295	154	15	+	+	X
ejpam-5295	154	16	i−	i−	PROPN
ejpam-5295	154	17	2	2	NUM
ejpam-5295	154	18	m	m	NOUN
ejpam-5295	154	19	)	)	PUNCT
ejpam-5295	154	20	for	for	ADP
ejpam-5295	154	21	i	i	PROPN
ejpam-5295	154	22	2	2	NUM
ejpam-5295	154	23	≥	≥	NOUN
ejpam-5295	154	24	m	m	VERB
ejpam-5295	154	25	(	(	PUNCT
ejpam-5295	154	26	em	em	PRON
ejpam-5295	154	27	,	,	PUNCT
ejpam-5295	154	28	an	an	DET
ejpam-5295	154	29	+	+	NUM
ejpam-5295	154	30	i−	i−	PROPN
ejpam-5295	154	31	2	2	NUM
ejpam-5295	154	32	m	m	NOUN
ejpam-5295	154	33	)	)	PUNCT
ejpam-5295	154	34	for	for	ADP
ejpam-5295	154	35	i	i	PROPN
ejpam-5295	154	36	2	2	NUM
ejpam-5295	154	37	<	<	X
ejpam-5295	154	38	m	m	VERB
ejpam-5295	154	39	for	for	ADP
ejpam-5295	154	40	the	the	DET
ejpam-5295	154	41	last	last	ADJ
ejpam-5295	154	42	row	row	NOUN
ejpam-5295	154	43	•	•	NOUN
ejpam-5295	154	44	case	case	NOUN
ejpam-5295	154	45	3	3	NUM
ejpam-5295	154	46	.	.	PUNCT
ejpam-5295	154	47	r(e(i	r(e(i	PROPN
ejpam-5295	154	48	,	,	PUNCT
ejpam-5295	154	49	m)|s	m)|s	NOUN
ejpam-5295	154	50	)	)	PUNCT
ejpam-5295	154	51	=	=	PRON
ejpam-5295	154	52	{	{	PUNCT
ejpam-5295	154	53	(	(	PUNCT
ejpam-5295	154	54	c	c	NOUN
ejpam-5295	154	55	,	,	PUNCT
ejpam-5295	154	56	an	an	DET
ejpam-5295	154	57	−	−	NOUN
ejpam-5295	154	58	d+	d+	PUNCT
ejpam-5295	154	59	i−	i−	PROPN
ejpam-5295	154	60	1	1	NUM
ejpam-5295	154	61	)	)	PUNCT
ejpam-5295	154	62	for	for	ADP
ejpam-5295	154	63	i	i	PRON
ejpam-5295	154	64	≥	≥	VERB
ejpam-5295	154	65	m	m	VERB
ejpam-5295	154	66	(	(	PUNCT
ejpam-5295	154	67	m	m	PROPN
ejpam-5295	154	68	,	,	PUNCT
ejpam-5295	154	69	an	an	DET
ejpam-5295	154	70	−	−	NOUN
ejpam-5295	154	71	d+	d+	PUNCT
ejpam-5295	154	72	i−	i−	PROPN
ejpam-5295	154	73	1	1	NUM
ejpam-5295	154	74	)	)	PUNCT
ejpam-5295	154	75	for	for	ADP
ejpam-5295	154	76	i	i	PRON
ejpam-5295	154	77	<	<	X
ejpam-5295	154	78	m	m	VERB
ejpam-5295	154	79	a	a	DET
ejpam-5295	154	80	minimum	minimum	NOUN
ejpam-5295	154	81	of	of	ADP
ejpam-5295	154	82	two	two	NUM
ejpam-5295	154	83	cardinality	cardinality	NOUN
ejpam-5295	154	84	for	for	SCONJ
ejpam-5295	154	85	the	the	DET
ejpam-5295	154	86	resolving	resolving	NOUN
ejpam-5295	154	87	set	set	VERB
ejpam-5295	154	88	s.	s.	PROPN
ejpam-5295	154	89	so	so	ADV
ejpam-5295	154	90	,	,	PUNCT
ejpam-5295	154	91	emd	emd	PROPN
ejpam-5295	154	92	of	of	ADP
ejpam-5295	154	93	the	the	DET
ejpam-5295	154	94	hexagonal	hexagonal	ADJ
ejpam-5295	154	95	boron	boron	NOUN
ejpam-5295	154	96	nitride	nitride	NOUN
ejpam-5295	154	97	graph	graph	NOUN
ejpam-5295	154	98	is	be	AUX
ejpam-5295	154	99	2	2	NUM
ejpam-5295	154	100	.	.	NOUN
ejpam-5295	154	101	3	3	NUM
ejpam-5295	154	102	.	.	X
ejpam-5295	154	103	carbon	carbon	NOUN
ejpam-5295	154	104	nanotubes	nanotube	VERB
ejpam-5295	154	105	the	the	DET
ejpam-5295	154	106	carbon	carbon	NOUN
ejpam-5295	154	107	nanotube	nanotube	NOUN
ejpam-5295	154	108	structure	structure	NOUN
ejpam-5295	154	109	,	,	PUNCT
ejpam-5295	154	110	known	know	VERB
ejpam-5295	154	111	as	as	ADP
ejpam-5295	154	112	cnt	cnt	PROPN
ejpam-5295	154	113	,	,	PUNCT
ejpam-5295	154	114	is	be	AUX
ejpam-5295	154	115	shown	show	VERB
ejpam-5295	154	116	in	in	ADP
ejpam-5295	154	117	figures	figure	NOUN
ejpam-5295	154	118	4	4	NUM
ejpam-5295	154	119	and	and	CCONJ
ejpam-5295	154	120	5	5	NUM
ejpam-5295	154	121	as	as	ADP
ejpam-5295	154	122	an	an	DET
ejpam-5295	154	123	easy	easy	ADJ
ejpam-5295	154	124	-	-	PUNCT
ejpam-5295	154	125	to	to	PART
ejpam-5295	154	126	-	-	PUNCT
ejpam-5295	154	127	understand	understand	VERB
ejpam-5295	154	128	,	,	PUNCT
ejpam-5295	154	129	connected	connect	VERB
ejpam-5295	154	130	,	,	PUNCT
ejpam-5295	154	131	planar	planar	ADJ
ejpam-5295	154	132	graph	graph	NOUN
ejpam-5295	154	133	.	.	PUNCT
ejpam-5295	155	1	the	the	DET
ejpam-5295	155	2	carbon	carbon	NOUN
ejpam-5295	155	3	nanotube	nanotube	NOUN
ejpam-5295	155	4	graph	graph	NOUN
ejpam-5295	155	5	in	in	ADP
ejpam-5295	155	6	figure	figure	NOUN
ejpam-5295	155	7	4	4	NUM
ejpam-5295	155	8	consists	consist	NOUN
ejpam-5295	155	9	of	of	ADP
ejpam-5295	155	10	a	a	DET
ejpam-5295	155	11	total	total	NOUN
ejpam-5295	155	12	of	of	ADP
ejpam-5295	155	13	6n2	6n2	NUM
ejpam-5295	155	14	+	+	NUM
ejpam-5295	155	15	3n	3n	NUM
ejpam-5295	155	16	−	−	SYM
ejpam-5295	155	17	2	2	NUM
ejpam-5295	155	18	edges	edge	NOUN
ejpam-5295	155	19	and	and	CCONJ
ejpam-5295	155	20	4n2	4n2	PRON
ejpam-5295	155	21	+	+	CCONJ
ejpam-5295	155	22	4n	4n	NUM
ejpam-5295	155	23	−	−	NOUN
ejpam-5295	155	24	1	1	NUM
ejpam-5295	155	25	vertices	vertex	NOUN
ejpam-5295	155	26	.	.	PUNCT
ejpam-5295	156	1	the	the	DET
ejpam-5295	156	2	majority	majority	NOUN
ejpam-5295	156	3	of	of	ADP
ejpam-5295	156	4	carbon	carbon	NOUN
ejpam-5295	156	5	nanotubes	nanotube	NOUN
ejpam-5295	156	6	have	have	VERB
ejpam-5295	156	7	a	a	DET
ejpam-5295	156	8	diameter	diameter	NOUN
ejpam-5295	156	9	of	of	ADP
ejpam-5295	156	10	about	about	ADV
ejpam-5295	156	11	1	1	NUM
ejpam-5295	156	12	nanometer	nanometer	NOUN
ejpam-5295	156	13	,	,	PUNCT
ejpam-5295	156	14	and	and	CCONJ
ejpam-5295	156	15	depending	depend	VERB
ejpam-5295	156	16	on	on	ADP
ejpam-5295	156	17	the	the	DET
ejpam-5295	156	18	particular	particular	ADJ
ejpam-5295	156	19	nanotube	nanotube	NOUN
ejpam-5295	156	20	structure	structure	NOUN
ejpam-5295	156	21	,	,	PUNCT
ejpam-5295	156	22	the	the	DET
ejpam-5295	156	23	length	length	NOUN
ejpam-5295	156	24	of	of	ADP
ejpam-5295	156	25	the	the	DET
ejpam-5295	156	26	bonds	bond	NOUN
ejpam-5295	156	27	separating	separate	VERB
ejpam-5295	156	28	carbon	carbon	NOUN
ejpam-5295	156	29	atoms	atom	NOUN
ejpam-5295	156	30	as	as	ADV
ejpam-5295	156	31	well	well	ADV
ejpam-5295	156	32	as	as	ADP
ejpam-5295	156	33	the	the	DET
ejpam-5295	156	34	angles	angle	NOUN
ejpam-5295	156	35	between	between	ADP
ejpam-5295	156	36	them	they	PRON
ejpam-5295	156	37	vary	vary	VERB
ejpam-5295	156	38	[	[	X
ejpam-5295	156	39	27	27	NUM
ejpam-5295	156	40	]	]	PUNCT
ejpam-5295	156	41	.	.	PUNCT
ejpam-5295	157	1	figure	figure	NOUN
ejpam-5295	157	2	4	4	NUM
ejpam-5295	157	3	.	.	PUNCT
ejpam-5295	158	1	graph	graph	NOUN
ejpam-5295	158	2	of	of	ADP
ejpam-5295	158	3	carbon	carbon	NOUN
ejpam-5295	158	4	nanotubes	nanotube	NOUN
ejpam-5295	158	5	.	.	PUNCT
ejpam-5295	159	1	u.	u.	PROPN
ejpam-5295	159	2	farooq	farooq	PROPN
ejpam-5295	159	3	et	et	PROPN
ejpam-5295	159	4	al	al	PROPN
ejpam-5295	159	5	.	.	PUNCT
ejpam-5295	159	6	/	/	SYM
ejpam-5295	159	7	eur	eur	PROPN
ejpam-5295	159	8	.	.	PUNCT
ejpam-5295	160	1	j.	j.	PROPN
ejpam-5295	160	2	pure	pure	PROPN
ejpam-5295	160	3	appl	appl	PROPN
ejpam-5295	160	4	.	.	PROPN
ejpam-5295	160	5	math	math	PROPN
ejpam-5295	160	6	,	,	PUNCT
ejpam-5295	160	7	17	17	NUM
ejpam-5295	160	8	(	(	PUNCT
ejpam-5295	160	9	3	3	NUM
ejpam-5295	160	10	)	)	PUNCT
ejpam-5295	160	11	(	(	PUNCT
ejpam-5295	160	12	2024	2024	NUM
ejpam-5295	160	13	)	)	PUNCT
ejpam-5295	160	14	,	,	PUNCT
ejpam-5295	160	15	2055	2055	NUM
ejpam-5295	160	16	-	-	SYM
ejpam-5295	160	17	2072	2072	NUM
ejpam-5295	160	18	2062	2062	NUM
ejpam-5295	160	19	carbon	carbon	NOUN
ejpam-5295	160	20	nanotubes	nanotube	NOUN
ejpam-5295	160	21	are	be	AUX
ejpam-5295	160	22	essentially	essentially	ADV
ejpam-5295	160	23	rolled	roll	VERB
ejpam-5295	160	24	-	-	PUNCT
ejpam-5295	160	25	up	up	ADP
ejpam-5295	160	26	sheets	sheet	NOUN
ejpam-5295	160	27	of	of	ADP
ejpam-5295	160	28	graphene	graphene	NOUN
ejpam-5295	160	29	,	,	PUNCT
ejpam-5295	160	30	and	and	CCONJ
ejpam-5295	160	31	their	their	PRON
ejpam-5295	160	32	structures	structure	NOUN
ejpam-5295	160	33	are	be	AUX
ejpam-5295	160	34	quite	quite	ADV
ejpam-5295	160	35	complex	complex	ADJ
ejpam-5295	160	36	.	.	PUNCT
ejpam-5295	161	1	to	to	PART
ejpam-5295	161	2	effectively	effectively	ADV
ejpam-5295	161	3	explain	explain	VERB
ejpam-5295	161	4	a	a	DET
ejpam-5295	161	5	carbon	carbon	NOUN
ejpam-5295	161	6	nanotube	nanotube	NOUN
ejpam-5295	161	7	graph	graph	NOUN
ejpam-5295	161	8	’s	’s	PART
ejpam-5295	161	9	topological	topological	ADJ
ejpam-5295	161	10	properties	property	NOUN
ejpam-5295	161	11	and	and	CCONJ
ejpam-5295	161	12	to	to	PART
ejpam-5295	161	13	understand	understand	VERB
ejpam-5295	161	14	the	the	DET
ejpam-5295	161	15	way	way	NOUN
ejpam-5295	161	16	it	it	PRON
ejpam-5295	161	17	behaves	behave	VERB
ejpam-5295	161	18	in	in	ADP
ejpam-5295	161	19	various	various	ADJ
ejpam-5295	161	20	uses	use	NOUN
ejpam-5295	161	21	,	,	PUNCT
ejpam-5295	161	22	its	its	PRON
ejpam-5295	161	23	md	md	PROPN
ejpam-5295	161	24	must	must	AUX
ejpam-5295	161	25	be	be	AUX
ejpam-5295	161	26	known	know	VERB
ejpam-5295	161	27	.	.	PUNCT
ejpam-5295	162	1	by	by	ADP
ejpam-5295	162	2	finding	find	VERB
ejpam-5295	162	3	the	the	DET
ejpam-5295	162	4	md	md	PROPN
ejpam-5295	162	5	,	,	PUNCT
ejpam-5295	162	6	we	we	PRON
ejpam-5295	162	7	can	can	AUX
ejpam-5295	162	8	identify	identify	VERB
ejpam-5295	162	9	a	a	DET
ejpam-5295	162	10	minimal	minimal	ADJ
ejpam-5295	162	11	set	set	NOUN
ejpam-5295	162	12	of	of	ADP
ejpam-5295	162	13	atoms	atom	NOUN
ejpam-5295	162	14	or	or	CCONJ
ejpam-5295	162	15	vertices	vertex	NOUN
ejpam-5295	162	16	that	that	SCONJ
ejpam-5295	162	17	,	,	PUNCT
ejpam-5295	162	18	when	when	SCONJ
ejpam-5295	162	19	labeled	label	VERB
ejpam-5295	162	20	or	or	CCONJ
ejpam-5295	162	21	measured	measure	VERB
ejpam-5295	162	22	in	in	ADP
ejpam-5295	162	23	a	a	DET
ejpam-5295	162	24	specific	specific	ADJ
ejpam-5295	162	25	way	way	NOUN
ejpam-5295	162	26	,	,	PUNCT
ejpam-5295	162	27	can	can	AUX
ejpam-5295	162	28	uniquely	uniquely	ADV
ejpam-5295	162	29	identify	identify	VERB
ejpam-5295	162	30	the	the	DET
ejpam-5295	162	31	location	location	NOUN
ejpam-5295	162	32	of	of	ADP
ejpam-5295	162	33	every	every	DET
ejpam-5295	162	34	other	other	ADJ
ejpam-5295	162	35	atom	atom	NOUN
ejpam-5295	162	36	in	in	ADP
ejpam-5295	162	37	the	the	DET
ejpam-5295	162	38	nanotube	nanotube	NOUN
ejpam-5295	162	39	.	.	PUNCT
ejpam-5295	163	1	[	[	X
ejpam-5295	163	2	27	27	NUM
ejpam-5295	163	3	]	]	PUNCT
ejpam-5295	163	4	.	.	PUNCT
ejpam-5295	164	1	theorem	theorem	VERB
ejpam-5295	164	2	3.1	3.1	NUM
ejpam-5295	164	3	the	the	DET
ejpam-5295	164	4	md	md	PROPN
ejpam-5295	164	5	of	of	ADP
ejpam-5295	164	6	p×	p×	PROPN
ejpam-5295	164	7	l	l	NOUN
ejpam-5295	164	8	,	,	PUNCT
ejpam-5295	164	9	2	2	NUM
ejpam-5295	164	10	-	-	SYM
ejpam-5295	164	11	d	d	PROPN
ejpam-5295	164	12	lattice	lattice	NOUN
ejpam-5295	164	13	carbon	carbon	NOUN
ejpam-5295	164	14	nanotube	nanotube	NOUN
ejpam-5295	164	15	is	be	AUX
ejpam-5295	164	16	3	3	NUM
ejpam-5295	164	17	.	.	PUNCT
ejpam-5295	165	1	proof	proof	NOUN
ejpam-5295	165	2	.	.	PUNCT
ejpam-5295	166	1	the	the	DET
ejpam-5295	166	2	following	follow	VERB
ejpam-5295	166	3	is	be	AUX
ejpam-5295	166	4	the	the	DET
ejpam-5295	166	5	partition	partition	NOUN
ejpam-5295	166	6	of	of	ADP
ejpam-5295	166	7	the	the	DET
ejpam-5295	166	8	vertices	vertex	NOUN
ejpam-5295	166	9	of	of	ADP
ejpam-5295	166	10	g.	g.	PROPN
ejpam-5295	166	11	{	{	PUNCT
ejpam-5295	166	12	cξ(1,1	cξ(1,1	PROPN
ejpam-5295	166	13	)	)	PUNCT
ejpam-5295	166	14	,	,	PUNCT
ejpam-5295	166	15	cξ(1,2	cξ(1,2	NUM
ejpam-5295	166	16	)	)	PUNCT
ejpam-5295	166	17	,	,	PUNCT
ejpam-5295	166	18	.	.	PUNCT
ejpam-5295	166	19	.	.	PUNCT
ejpam-5295	167	1	.	.	PUNCT
ejpam-5295	168	1	,	,	PUNCT
ejpam-5295	168	2	cξ(1,l	cξ(1,l	NOUN
ejpam-5295	168	3	)	)	PUNCT
ejpam-5295	168	4	,	,	PUNCT
ejpam-5295	168	5	cξ(2,1	cξ(2,1	PROPN
ejpam-5295	168	6	)	)	PUNCT
ejpam-5295	168	7	,	,	PUNCT
ejpam-5295	168	8	cξ(2,2	cξ(2,2	PROPN
ejpam-5295	168	9	)	)	PUNCT
ejpam-5295	168	10	,	,	PUNCT
ejpam-5295	168	11	cξ(2,3	cξ(2,3	PROPN
ejpam-5295	168	12	)	)	PUNCT
ejpam-5295	168	13	,	,	PUNCT
ejpam-5295	168	14	.	.	PUNCT
ejpam-5295	168	15	.	.	PUNCT
ejpam-5295	169	1	.	.	PUNCT
ejpam-5295	170	1	,	,	PUNCT
ejpam-5295	170	2	cξ(2,l	cξ(2,l	PROPN
ejpam-5295	170	3	)	)	PUNCT
ejpam-5295	170	4	,	,	PUNCT
ejpam-5295	170	5	cξ(3,1	cξ(3,1	PROPN
ejpam-5295	170	6	)	)	PUNCT
ejpam-5295	170	7	,	,	PUNCT
ejpam-5295	170	8	cξ(3,2	cξ(3,2	NOUN
ejpam-5295	170	9	)	)	PUNCT
ejpam-5295	170	10	,	,	PUNCT
ejpam-5295	170	11	cξ(3,3	cξ(3,3	NOUN
ejpam-5295	170	12	)	)	PUNCT
ejpam-5295	170	13	,	,	PUNCT
ejpam-5295	170	14	.	.	PUNCT
ejpam-5295	170	15	.	.	PUNCT
ejpam-5295	171	1	.	.	PUNCT
ejpam-5295	172	1	,	,	PUNCT
ejpam-5295	172	2	cξ(3,l	cξ(3,l	PROPN
ejpam-5295	172	3	)	)	PUNCT
ejpam-5295	172	4	,	,	PUNCT
ejpam-5295	172	5	.	.	PUNCT
ejpam-5295	172	6	.	.	PUNCT
ejpam-5295	173	1	.	.	PUNCT
ejpam-5295	174	1	,	,	PUNCT
ejpam-5295	174	2	cξ(p,1	cξ(p,1	PROPN
ejpam-5295	174	3	)	)	PUNCT
ejpam-5295	174	4	,	,	PUNCT
ejpam-5295	174	5	cξ(p,2	cξ(p,2	NOUN
ejpam-5295	174	6	)	)	PUNCT
ejpam-5295	174	7	,	,	PUNCT
ejpam-5295	174	8	cξ(p,3	cξ(p,3	PROPN
ejpam-5295	174	9	)	)	PUNCT
ejpam-5295	174	10	,	,	PUNCT
ejpam-5295	174	11	.	.	PUNCT
ejpam-5295	174	12	.	.	PUNCT
ejpam-5295	175	1	.	.	PUNCT
ejpam-5295	176	1	,	,	PUNCT
ejpam-5295	176	2	cξ(p	cξ(p	NOUN
ejpam-5295	176	3	,	,	PUNCT
ejpam-5295	176	4	l	l	NOUN
ejpam-5295	176	5	)	)	PUNCT
ejpam-5295	176	6	}	}	PUNCT
ejpam-5295	176	7	let	let	AUX
ejpam-5295	176	8	t	t	NOUN
ejpam-5295	176	9	=	=	SYM
ejpam-5295	176	10	{	{	PUNCT
ejpam-5295	176	11	cξ(1,1	cξ(1,1	NOUN
ejpam-5295	176	12	)	)	PUNCT
ejpam-5295	176	13	,	,	PUNCT
ejpam-5295	176	14	cξ(1,2n+1	cξ(1,2n+1	PROPN
ejpam-5295	176	15	)	)	PUNCT
ejpam-5295	176	16	,	,	PUNCT
ejpam-5295	176	17	cξ(2n,2n+1	cξ(2n,2n+1	PROPN
ejpam-5295	176	18	)	)	PUNCT
ejpam-5295	176	19	}	}	PUNCT
ejpam-5295	176	20	be	be	AUX
ejpam-5295	176	21	a	a	DET
ejpam-5295	176	22	resolving	resolving	NOUN
ejpam-5295	176	23	set	set	NOUN
ejpam-5295	176	24	.	.	PUNCT
ejpam-5295	177	1	number	number	NOUN
ejpam-5295	177	2	of	of	ADP
ejpam-5295	177	3	columns	column	NOUN
ejpam-5295	177	4	are	be	AUX
ejpam-5295	177	5	denoted	denote	VERB
ejpam-5295	177	6	by	by	ADP
ejpam-5295	177	7	p	p	NOUN
ejpam-5295	177	8	,	,	PUNCT
ejpam-5295	177	9	vertices	vertex	NOUN
ejpam-5295	177	10	by	by	ADP
ejpam-5295	177	11	l	l	NOUN
ejpam-5295	177	12	,	,	PUNCT
ejpam-5295	177	13	and	and	CCONJ
ejpam-5295	177	14	number	number	NOUN
ejpam-5295	177	15	of	of	ADP
ejpam-5295	177	16	cells	cell	NOUN
ejpam-5295	177	17	in	in	ADP
ejpam-5295	177	18	first	first	ADJ
ejpam-5295	177	19	column	column	NOUN
ejpam-5295	177	20	by	by	ADP
ejpam-5295	177	21	n.	n.	PROPN
ejpam-5295	177	22	figure	figure	NOUN
ejpam-5295	177	23	5	5	NUM
ejpam-5295	177	24	.	.	PUNCT
ejpam-5295	178	1	graph	graph	NOUN
ejpam-5295	178	2	of	of	ADP
ejpam-5295	178	3	carbon	carbon	NOUN
ejpam-5295	178	4	nanotubes	nanotube	NOUN
ejpam-5295	178	5	with	with	ADP
ejpam-5295	178	6	n	n	NOUN
ejpam-5295	178	7	=	=	SYM
ejpam-5295	178	8	3	3	X
ejpam-5295	178	9	.	.	PUNCT
ejpam-5295	179	1	here	here	ADV
ejpam-5295	179	2	we	we	PRON
ejpam-5295	179	3	suppose	suppose	VERB
ejpam-5295	179	4	that	that	SCONJ
ejpam-5295	179	5	aη(n	aη(n	PRON
ejpam-5295	179	6	)	)	PUNCT
ejpam-5295	179	7	=	=	SYM
ejpam-5295	179	8	2n	2n	NUM
ejpam-5295	179	9	,	,	PUNCT
ejpam-5295	179	10	aη(i	aη(i	NUM
ejpam-5295	179	11	)	)	PUNCT
ejpam-5295	179	12	=	=	SYM
ejpam-5295	179	13	2p	2p	NOUN
ejpam-5295	179	14	,	,	PUNCT
ejpam-5295	179	15	h	h	NOUN
ejpam-5295	179	16	=	=	NOUN
ejpam-5295	179	17	p+	p+	PROPN
ejpam-5295	179	18	l	l	NOUN
ejpam-5295	179	19	,	,	PUNCT
ejpam-5295	179	20	b	b	X
ejpam-5295	179	21	=	=	SYM
ejpam-5295	179	22	p−	p−	NOUN
ejpam-5295	179	23	l.	l.	NOUN
ejpam-5295	179	24	•	•	NOUN
ejpam-5295	179	25	case	case	NOUN
ejpam-5295	179	26	1	1	NUM
ejpam-5295	179	27	.	.	PUNCT
ejpam-5295	180	1	if	if	SCONJ
ejpam-5295	180	2	p	p	PROPN
ejpam-5295	180	3	and	and	CCONJ
ejpam-5295	180	4	l	l	NOUN
ejpam-5295	180	5	both	both	PRON
ejpam-5295	180	6	are	be	AUX
ejpam-5295	180	7	odd	odd	ADJ
ejpam-5295	180	8	.	.	PUNCT
ejpam-5295	181	1	r(cξ(p	r(cξ(p	NOUN
ejpam-5295	181	2	,	,	PUNCT
ejpam-5295	181	3	l)|t	l)|t	NOUN
ejpam-5295	181	4	)	)	PUNCT
ejpam-5295	182	1	=	=	PUNCT
ejpam-5295	182	2			PROPN
ejpam-5295	182	3	(	(	PUNCT
ejpam-5295	182	4	h−	h−	PROPN
ejpam-5295	182	5	2	2	NUM
ejpam-5295	182	6	,	,	PUNCT
ejpam-5295	182	7	aη(n	aη(n	NUM
ejpam-5295	182	8	)	)	PUNCT
ejpam-5295	183	1	+	+	CCONJ
ejpam-5295	183	2	b	b	NOUN
ejpam-5295	183	3	,	,	PUNCT
ejpam-5295	183	4	2aη(n	2aη(n	NUM
ejpam-5295	183	5	)	)	PUNCT
ejpam-5295	183	6	−	−	NUM
ejpam-5295	183	7	h+	h+	NOUN
ejpam-5295	183	8	1	1	NUM
ejpam-5295	183	9	)	)	PUNCT
ejpam-5295	183	10	for	for	ADP
ejpam-5295	183	11	p	p	NOUN
ejpam-5295	183	12	=	=	SYM
ejpam-5295	183	13	1	1	NUM
ejpam-5295	183	14	,	,	PUNCT
ejpam-5295	183	15	l	l	NOUN
ejpam-5295	183	16	=	=	SYM
ejpam-5295	183	17	1	1	NUM
ejpam-5295	183	18	(	(	PUNCT
ejpam-5295	183	19	h−	h−	NOUN
ejpam-5295	183	20	2	2	NUM
ejpam-5295	183	21	,	,	PUNCT
ejpam-5295	183	22	aη(n	aη(n	NUM
ejpam-5295	183	23	)	)	PUNCT
ejpam-5295	183	24	+	+	CCONJ
ejpam-5295	183	25	b	b	NOUN
ejpam-5295	183	26	,	,	PUNCT
ejpam-5295	183	27	2aη(n	2aη(n	NUM
ejpam-5295	183	28	)	)	PUNCT
ejpam-5295	183	29	−	−	PROPN
ejpam-5295	183	30	h−	h−	PROPN
ejpam-5295	183	31	1	1	NUM
ejpam-5295	183	32	)	)	PUNCT
ejpam-5295	183	33	for	for	ADP
ejpam-5295	183	34	p	p	NOUN
ejpam-5295	183	35	=	=	SYM
ejpam-5295	183	36	1	1	NUM
ejpam-5295	183	37	,	,	PUNCT
ejpam-5295	183	38	l	l	NOUN
ejpam-5295	183	39	=	=	SYM
ejpam-5295	183	40	3	3	NUM
ejpam-5295	183	41	,	,	PUNCT
ejpam-5295	183	42	5	5	NUM
ejpam-5295	183	43	,	,	PUNCT
ejpam-5295	183	44	7	7	NUM
ejpam-5295	183	45	,	,	PUNCT
ejpam-5295	183	46	.	.	PUNCT
ejpam-5295	183	47	.	.	PUNCT
ejpam-5295	183	48	.	.	PUNCT
ejpam-5295	184	1	(	(	PUNCT
ejpam-5295	184	2	aη(i	aη(i	NOUN
ejpam-5295	184	3	)	)	PUNCT
ejpam-5295	184	4	−	−	ADP
ejpam-5295	184	5	2	2	NUM
ejpam-5295	184	6	,	,	PUNCT
ejpam-5295	184	7	aη(n	aη(n	NUM
ejpam-5295	184	8	)	)	PUNCT
ejpam-5295	184	9	+	+	CCONJ
ejpam-5295	184	10	b	b	NOUN
ejpam-5295	184	11	,	,	PUNCT
ejpam-5295	184	12	2aη(n	2aη(n	NUM
ejpam-5295	184	13	)	)	PUNCT
ejpam-5295	184	14	−	−	NUM
ejpam-5295	184	15	h+	h+	NOUN
ejpam-5295	184	16	1	1	NUM
ejpam-5295	184	17	)	)	PUNCT
ejpam-5295	184	18	for	for	ADP
ejpam-5295	184	19	p	p	NOUN
ejpam-5295	184	20	=	=	SYM
ejpam-5295	184	21	3	3	NUM
ejpam-5295	184	22	,	,	PUNCT
ejpam-5295	184	23	l	l	NOUN
ejpam-5295	184	24	=	=	SYM
ejpam-5295	184	25	1	1	NUM
ejpam-5295	184	26	,	,	PUNCT
ejpam-5295	184	27	3	3	NUM
ejpam-5295	184	28	(	(	PUNCT
ejpam-5295	184	29	h−	h−	PROPN
ejpam-5295	184	30	2	2	NUM
ejpam-5295	184	31	,	,	PUNCT
ejpam-5295	184	32	aη(n	aη(n	NUM
ejpam-5295	184	33	)	)	PUNCT
ejpam-5295	185	1	+	+	CCONJ
ejpam-5295	185	2	b	b	NOUN
ejpam-5295	185	3	,	,	PUNCT
ejpam-5295	185	4	2aη(n	2aη(n	NUM
ejpam-5295	185	5	)	)	PUNCT
ejpam-5295	185	6	−	−	NOUN
ejpam-5295	185	7	aη(i	aη(i	NOUN
ejpam-5295	185	8	)	)	PUNCT
ejpam-5295	185	9	−	−	ADP
ejpam-5295	186	1	1	1	NUM
ejpam-5295	186	2	)	)	PUNCT
ejpam-5295	186	3	for	for	ADP
ejpam-5295	186	4	p	p	NOUN
ejpam-5295	186	5	=	=	SYM
ejpam-5295	186	6	3	3	NUM
ejpam-5295	186	7	,	,	PUNCT
ejpam-5295	186	8	l	l	NOUN
ejpam-5295	186	9	=	=	SYM
ejpam-5295	186	10	5	5	NUM
ejpam-5295	186	11	,	,	PUNCT
ejpam-5295	186	12	7	7	NUM
ejpam-5295	186	13	,	,	PUNCT
ejpam-5295	186	14	9	9	NUM
ejpam-5295	186	15	.	.	PUNCT
ejpam-5295	186	16	.	.	PUNCT
ejpam-5295	186	17	.	.	PUNCT
ejpam-5295	187	1	(	(	PUNCT
ejpam-5295	187	2	aη(i	aη(i	NOUN
ejpam-5295	187	3	)	)	PUNCT
ejpam-5295	187	4	−	−	ADP
ejpam-5295	187	5	2	2	NUM
ejpam-5295	187	6	,	,	PUNCT
ejpam-5295	187	7	aη(n	aη(n	NUM
ejpam-5295	187	8	)	)	PUNCT
ejpam-5295	187	9	+	+	CCONJ
ejpam-5295	187	10	b	b	NOUN
ejpam-5295	187	11	,	,	PUNCT
ejpam-5295	187	12	2aη(n	2aη(n	NUM
ejpam-5295	187	13	)	)	PUNCT
ejpam-5295	187	14	−	−	NUM
ejpam-5295	187	15	h+	h+	NOUN
ejpam-5295	187	16	1	1	NUM
ejpam-5295	187	17	)	)	PUNCT
ejpam-5295	187	18	for	for	ADP
ejpam-5295	187	19	p	p	PRON
ejpam-5295	187	20	≥	≥	PROPN
ejpam-5295	187	21	l	l	NOUN
ejpam-5295	187	22	(	(	PUNCT
ejpam-5295	187	23	h−	h−	PROPN
ejpam-5295	187	24	2	2	NUM
ejpam-5295	187	25	,	,	PUNCT
ejpam-5295	187	26	aη(n	aη(n	NUM
ejpam-5295	187	27	)	)	PUNCT
ejpam-5295	187	28	+	+	CCONJ
ejpam-5295	187	29	b	b	NOUN
ejpam-5295	187	30	,	,	PUNCT
ejpam-5295	187	31	2aη(n	2aη(n	NUM
ejpam-5295	187	32	)	)	PUNCT
ejpam-5295	187	33	−	−	NUM
ejpam-5295	187	34	h+	h+	NOUN
ejpam-5295	187	35	1	1	NUM
ejpam-5295	187	36	)	)	PUNCT
ejpam-5295	187	37	for	for	ADP
ejpam-5295	187	38	p	p	NOUN
ejpam-5295	187	39	<	<	X
ejpam-5295	187	40	l	l	NOUN
ejpam-5295	187	41	(	(	PUNCT
ejpam-5295	187	42	h−	h−	PROPN
ejpam-5295	187	43	2	2	NUM
ejpam-5295	187	44	,	,	PUNCT
ejpam-5295	187	45	aη(i	aη(i	NUM
ejpam-5295	187	46	)	)	PUNCT
ejpam-5295	187	47	−	−	ADP
ejpam-5295	187	48	2	2	NUM
ejpam-5295	187	49	,	,	PUNCT
ejpam-5295	187	50	2aη(n	2aη(n	NUM
ejpam-5295	187	51	)	)	PUNCT
ejpam-5295	187	52	−	−	NOUN
ejpam-5295	187	53	aη(i	aη(i	NOUN
ejpam-5295	187	54	)	)	PUNCT
ejpam-5295	187	55	−	−	ADP
ejpam-5295	188	1	1	1	NUM
ejpam-5295	188	2	)	)	PUNCT
ejpam-5295	188	3	for	for	ADP
ejpam-5295	188	4	h	h	PROPN
ejpam-5295	188	5	≥	≥	NOUN
ejpam-5295	188	6	aη(i)+1	aη(i)+1	PROPN
ejpam-5295	188	7	u.	u.	PROPN
ejpam-5295	188	8	farooq	farooq	PROPN
ejpam-5295	188	9	et	et	PROPN
ejpam-5295	188	10	al	al	PROPN
ejpam-5295	188	11	.	.	PUNCT
ejpam-5295	188	12	/	/	SYM
ejpam-5295	188	13	eur	eur	PROPN
ejpam-5295	188	14	.	.	PUNCT
ejpam-5295	189	1	j.	j.	PROPN
ejpam-5295	189	2	pure	pure	PROPN
ejpam-5295	189	3	appl	appl	PROPN
ejpam-5295	189	4	.	.	PROPN
ejpam-5295	189	5	math	math	PROPN
ejpam-5295	189	6	,	,	PUNCT
ejpam-5295	189	7	17	17	NUM
ejpam-5295	189	8	(	(	PUNCT
ejpam-5295	189	9	3	3	NUM
ejpam-5295	189	10	)	)	PUNCT
ejpam-5295	189	11	(	(	PUNCT
ejpam-5295	189	12	2024	2024	NUM
ejpam-5295	189	13	)	)	PUNCT
ejpam-5295	189	14	,	,	PUNCT
ejpam-5295	189	15	2055	2055	NUM
ejpam-5295	189	16	-	-	SYM
ejpam-5295	189	17	2072	2072	NUM
ejpam-5295	189	18	2063	2063	NUM
ejpam-5295	189	19	•	•	NOUN
ejpam-5295	189	20	case	case	NOUN
ejpam-5295	189	21	2	2	NUM
ejpam-5295	189	22	.	.	PUNCT
ejpam-5295	190	1	if	if	SCONJ
ejpam-5295	190	2	p	p	NOUN
ejpam-5295	190	3	is	be	AUX
ejpam-5295	190	4	odd	odd	ADJ
ejpam-5295	190	5	and	and	CCONJ
ejpam-5295	190	6	l	l	NOUN
ejpam-5295	190	7	is	be	AUX
ejpam-5295	190	8	even	even	ADV
ejpam-5295	190	9	.	.	PUNCT
ejpam-5295	191	1	r(cξ(p	r(cξ(p	NOUN
ejpam-5295	191	2	,	,	PUNCT
ejpam-5295	191	3	l)|t	l)|t	NOUN
ejpam-5295	191	4	)	)	PUNCT
ejpam-5295	192	1	=	=	PUNCT
ejpam-5295	192	2			NOUN
ejpam-5295	192	3	(	(	PUNCT
ejpam-5295	192	4	h−	h−	NOUN
ejpam-5295	192	5	2	2	NUM
ejpam-5295	192	6	,	,	PUNCT
ejpam-5295	192	7	aη(n	aη(n	NUM
ejpam-5295	192	8	)	)	PUNCT
ejpam-5295	192	9	+	+	CCONJ
ejpam-5295	192	10	b	b	NOUN
ejpam-5295	192	11	,	,	PUNCT
ejpam-5295	192	12	2aη(n	2aη(n	NUM
ejpam-5295	192	13	)	)	PUNCT
ejpam-5295	192	14	−	−	PROPN
ejpam-5295	192	15	aη(i	aη(i	NUM
ejpam-5295	192	16	)	)	PUNCT
ejpam-5295	192	17	)	)	PUNCT
ejpam-5295	192	18	for	for	ADP
ejpam-5295	192	19	p	p	NOUN
ejpam-5295	192	20	=	=	SYM
ejpam-5295	192	21	1	1	NUM
ejpam-5295	192	22	,	,	PUNCT
ejpam-5295	192	23	l	l	NOUN
ejpam-5295	192	24	=	=	SYM
ejpam-5295	192	25	2	2	NUM
ejpam-5295	192	26	,	,	PUNCT
ejpam-5295	192	27	4	4	NUM
ejpam-5295	192	28	,	,	PUNCT
ejpam-5295	192	29	6.8	6.8	NUM
ejpam-5295	192	30	,	,	PUNCT
ejpam-5295	192	31	.	.	PUNCT
ejpam-5295	192	32	.	.	PUNCT
ejpam-5295	192	33	.	.	PUNCT
ejpam-5295	193	1	(	(	PUNCT
ejpam-5295	193	2	h−	h−	NOUN
ejpam-5295	193	3	2	2	NUM
ejpam-5295	193	4	,	,	PUNCT
ejpam-5295	193	5	aη(n	aη(n	NUM
ejpam-5295	193	6	)	)	PUNCT
ejpam-5295	193	7	+	+	CCONJ
ejpam-5295	193	8	b	b	NOUN
ejpam-5295	193	9	,	,	PUNCT
ejpam-5295	193	10	2aη(n	2aη(n	NUM
ejpam-5295	193	11	)	)	PUNCT
ejpam-5295	193	12	−	−	PRON
ejpam-5295	193	13	aη(i)+2	aη(i)+2	PROPN
ejpam-5295	193	14	)	)	PUNCT
ejpam-5295	193	15	for	for	ADP
ejpam-5295	193	16	p	p	NOUN
ejpam-5295	193	17	=	=	SYM
ejpam-5295	193	18	3	3	NUM
ejpam-5295	193	19	,	,	PUNCT
ejpam-5295	193	20	l	l	NOUN
ejpam-5295	193	21	=	=	SYM
ejpam-5295	193	22	2	2	NUM
ejpam-5295	193	23	(	(	PUNCT
ejpam-5295	193	24	h−	h−	PROPN
ejpam-5295	193	25	2	2	NUM
ejpam-5295	193	26	,	,	PUNCT
ejpam-5295	193	27	aη(n	aη(n	NUM
ejpam-5295	193	28	)	)	PUNCT
ejpam-5295	194	1	+	+	CCONJ
ejpam-5295	194	2	b	b	NOUN
ejpam-5295	194	3	,	,	PUNCT
ejpam-5295	194	4	2aη(n	2aη(n	NUM
ejpam-5295	194	5	)	)	PUNCT
ejpam-5295	194	6	−	−	PROPN
ejpam-5295	194	7	aη(i	aη(i	NUM
ejpam-5295	194	8	)	)	PUNCT
ejpam-5295	194	9	)	)	PUNCT
ejpam-5295	194	10	for	for	ADP
ejpam-5295	194	11	p	p	NOUN
ejpam-5295	194	12	=	=	SYM
ejpam-5295	194	13	3	3	NUM
ejpam-5295	194	14	,	,	PUNCT
ejpam-5295	194	15	l	l	NOUN
ejpam-5295	194	16	=	=	SYM
ejpam-5295	194	17	4	4	NUM
ejpam-5295	194	18	,	,	PUNCT
ejpam-5295	194	19	6.8	6.8	NUM
ejpam-5295	194	20	,	,	PUNCT
ejpam-5295	194	21	.	.	PUNCT
ejpam-5295	194	22	.	.	PUNCT
ejpam-5295	194	23	.	.	PUNCT
ejpam-5295	195	1	(	(	PUNCT
ejpam-5295	195	2	aη(i	aη(i	NOUN
ejpam-5295	195	3	)	)	PUNCT
ejpam-5295	195	4	−	−	ADP
ejpam-5295	195	5	3	3	NUM
ejpam-5295	195	6	,	,	PUNCT
ejpam-5295	195	7	aη(n	aη(n	NUM
ejpam-5295	195	8	)	)	PUNCT
ejpam-5295	196	1	+	+	CCONJ
ejpam-5295	196	2	b	b	NOUN
ejpam-5295	196	3	,	,	PUNCT
ejpam-5295	196	4	2aη(n	2aη(n	NUM
ejpam-5295	196	5	)	)	PUNCT
ejpam-5295	196	6	−	−	NUM
ejpam-5295	196	7	h+	h+	NOUN
ejpam-5295	196	8	1	1	NUM
ejpam-5295	196	9	)	)	PUNCT
ejpam-5295	196	10	for	for	ADP
ejpam-5295	196	11	p	p	PRON
ejpam-5295	196	12	≥	≥	PROPN
ejpam-5295	196	13	l	l	NOUN
ejpam-5295	196	14	(	(	PUNCT
ejpam-5295	196	15	h−	h−	PROPN
ejpam-5295	196	16	2	2	NUM
ejpam-5295	196	17	,	,	PUNCT
ejpam-5295	196	18	aη(n	aη(n	NUM
ejpam-5295	196	19	)	)	PUNCT
ejpam-5295	197	1	+	+	CCONJ
ejpam-5295	197	2	b	b	NOUN
ejpam-5295	197	3	,	,	PUNCT
ejpam-5295	197	4	2aη(n	2aη(n	NUM
ejpam-5295	197	5	)	)	PUNCT
ejpam-5295	197	6	−	−	NUM
ejpam-5295	197	7	h+	h+	NOUN
ejpam-5295	197	8	1	1	NUM
ejpam-5295	197	9	)	)	PUNCT
ejpam-5295	197	10	for	for	ADP
ejpam-5295	197	11	p	p	NOUN
ejpam-5295	197	12	<	<	X
ejpam-5295	197	13	l	l	NOUN
ejpam-5295	197	14	(	(	PUNCT
ejpam-5295	197	15	h−	h−	PROPN
ejpam-5295	197	16	2	2	NUM
ejpam-5295	197	17	,	,	PUNCT
ejpam-5295	197	18	aη(i	aη(i	NUM
ejpam-5295	197	19	)	)	PUNCT
ejpam-5295	197	20	−	−	ADP
ejpam-5295	198	1	3	3	NUM
ejpam-5295	198	2	,	,	PUNCT
ejpam-5295	198	3	2aη(n	2aη(n	NUM
ejpam-5295	198	4	)	)	PUNCT
ejpam-5295	198	5	−	−	PROPN
ejpam-5295	198	6	aη(i	aη(i	NOUN
ejpam-5295	198	7	)	)	PUNCT
ejpam-5295	198	8	for	for	ADP
ejpam-5295	198	9	h	h	PROPN
ejpam-5295	198	10	≥	≥	NOUN
ejpam-5295	198	11	aη(i	aη(i	PUNCT
ejpam-5295	198	12	)	)	PUNCT
ejpam-5295	199	1	+	+	CCONJ
ejpam-5295	199	2	1	1	NUM
ejpam-5295	199	3	•	•	NUM
ejpam-5295	199	4	case	case	NOUN
ejpam-5295	199	5	3	3	X
ejpam-5295	199	6	.	.	PUNCT
ejpam-5295	200	1	if	if	SCONJ
ejpam-5295	200	2	p	p	NOUN
ejpam-5295	200	3	is	be	AUX
ejpam-5295	200	4	even	even	ADV
ejpam-5295	200	5	and	and	CCONJ
ejpam-5295	200	6	l	l	NOUN
ejpam-5295	200	7	is	be	AUX
ejpam-5295	200	8	odd	odd	ADJ
ejpam-5295	200	9	.	.	PUNCT
ejpam-5295	201	1	r(cξ(p	r(cξ(p	NOUN
ejpam-5295	201	2	,	,	PUNCT
ejpam-5295	201	3	l)|t	l)|t	NOUN
ejpam-5295	201	4	)	)	PUNCT
ejpam-5295	202	1	=	=	PUNCT
ejpam-5295	202	2			PROPN
ejpam-5295	202	3	(	(	PUNCT
ejpam-5295	202	4	h−	h−	PROPN
ejpam-5295	202	5	2	2	NUM
ejpam-5295	202	6	,	,	PUNCT
ejpam-5295	202	7	aη(n	aη(n	NUM
ejpam-5295	202	8	)	)	PUNCT
ejpam-5295	203	1	+	+	CCONJ
ejpam-5295	203	2	b	b	NOUN
ejpam-5295	203	3	,	,	PUNCT
ejpam-5295	203	4	2aη(n	2aη(n	NUM
ejpam-5295	203	5	)	)	PUNCT
ejpam-5295	203	6	−	−	NUM
ejpam-5295	203	7	h+	h+	NOUN
ejpam-5295	203	8	1	1	NUM
ejpam-5295	203	9	)	)	PUNCT
ejpam-5295	203	10	for	for	ADP
ejpam-5295	203	11	p	p	NOUN
ejpam-5295	203	12	=	=	SYM
ejpam-5295	203	13	2	2	NUM
ejpam-5295	203	14	,	,	PUNCT
ejpam-5295	203	15	l	l	NOUN
ejpam-5295	203	16	=	=	SYM
ejpam-5295	203	17	1	1	NUM
ejpam-5295	203	18	(	(	PUNCT
ejpam-5295	203	19	h−	h−	NOUN
ejpam-5295	203	20	2	2	NUM
ejpam-5295	203	21	,	,	PUNCT
ejpam-5295	203	22	aη(n	aη(n	NUM
ejpam-5295	203	23	)	)	PUNCT
ejpam-5295	203	24	+	+	CCONJ
ejpam-5295	203	25	b	b	NOUN
ejpam-5295	203	26	,	,	PUNCT
ejpam-5295	203	27	2aη(n	2aη(n	NUM
ejpam-5295	203	28	)	)	PUNCT
ejpam-5295	203	29	−	−	PROPN
ejpam-5295	203	30	aη(i	aη(i	NUM
ejpam-5295	203	31	)	)	PUNCT
ejpam-5295	203	32	)	)	PUNCT
ejpam-5295	203	33	for	for	ADP
ejpam-5295	203	34	p	p	NOUN
ejpam-5295	203	35	=	=	SYM
ejpam-5295	203	36	2	2	NUM
ejpam-5295	203	37	,	,	PUNCT
ejpam-5295	203	38	l	l	NOUN
ejpam-5295	203	39	=	=	SYM
ejpam-5295	203	40	3	3	NUM
ejpam-5295	203	41	,	,	PUNCT
ejpam-5295	203	42	5	5	NUM
ejpam-5295	203	43	,	,	PUNCT
ejpam-5295	203	44	7	7	NUM
ejpam-5295	203	45	,	,	PUNCT
ejpam-5295	203	46	.	.	PUNCT
ejpam-5295	203	47	.	.	PUNCT
ejpam-5295	203	48	.	.	PUNCT
ejpam-5295	204	1	(	(	PUNCT
ejpam-5295	204	2	aη(i	aη(i	NOUN
ejpam-5295	204	3	)	)	PUNCT
ejpam-5295	204	4	−	−	ADP
ejpam-5295	204	5	3	3	NUM
ejpam-5295	204	6	,	,	PUNCT
ejpam-5295	204	7	aη(n	aη(n	NUM
ejpam-5295	204	8	)	)	PUNCT
ejpam-5295	205	1	+	+	CCONJ
ejpam-5295	205	2	b	b	NOUN
ejpam-5295	205	3	,	,	PUNCT
ejpam-5295	205	4	2aη(n	2aη(n	NUM
ejpam-5295	205	5	)	)	PUNCT
ejpam-5295	205	6	−	−	NUM
ejpam-5295	205	7	h+	h+	NOUN
ejpam-5295	205	8	1	1	NUM
ejpam-5295	205	9	)	)	PUNCT
ejpam-5295	205	10	for	for	ADP
ejpam-5295	205	11	p	p	NOUN
ejpam-5295	205	12	=	=	NOUN
ejpam-5295	205	13	4	4	NUM
ejpam-5295	205	14	,	,	PUNCT
ejpam-5295	205	15	l	l	NOUN
ejpam-5295	205	16	=	=	SYM
ejpam-5295	205	17	1	1	NUM
ejpam-5295	205	18	,	,	PUNCT
ejpam-5295	205	19	2	2	NUM
ejpam-5295	205	20	(	(	PUNCT
ejpam-5295	205	21	h−	h−	PROPN
ejpam-5295	205	22	2	2	NUM
ejpam-5295	205	23	,	,	PUNCT
ejpam-5295	205	24	aη(n	aη(n	NUM
ejpam-5295	205	25	)	)	PUNCT
ejpam-5295	205	26	+	+	CCONJ
ejpam-5295	206	1	b	b	NOUN
ejpam-5295	206	2	,	,	PUNCT
ejpam-5295	206	3	2aη(n	2aη(n	NUM
ejpam-5295	206	4	)	)	PUNCT
ejpam-5295	206	5	−	−	PROPN
ejpam-5295	206	6	aη(i	aη(i	NUM
ejpam-5295	206	7	)	)	PUNCT
ejpam-5295	206	8	)	)	PUNCT
ejpam-5295	206	9	for	for	ADP
ejpam-5295	206	10	p	p	NOUN
ejpam-5295	206	11	=	=	SYM
ejpam-5295	206	12	4	4	NUM
ejpam-5295	206	13	,	,	PUNCT
ejpam-5295	206	14	l	l	NOUN
ejpam-5295	206	15	=	=	SYM
ejpam-5295	206	16	3	3	NUM
ejpam-5295	206	17	,	,	PUNCT
ejpam-5295	206	18	4	4	NUM
ejpam-5295	206	19	,	,	PUNCT
ejpam-5295	206	20	5	5	NUM
ejpam-5295	206	21	.	.	PUNCT
ejpam-5295	206	22	.	.	PUNCT
ejpam-5295	206	23	.	.	PUNCT
ejpam-5295	206	24	.	.	PUNCT
ejpam-5295	207	1	(	(	PUNCT
ejpam-5295	207	2	aη(i	aη(i	NOUN
ejpam-5295	207	3	)	)	PUNCT
ejpam-5295	207	4	−	−	ADP
ejpam-5295	207	5	3	3	NUM
ejpam-5295	207	6	,	,	PUNCT
ejpam-5295	207	7	aη(n	aη(n	NUM
ejpam-5295	207	8	)	)	PUNCT
ejpam-5295	208	1	+	+	CCONJ
ejpam-5295	208	2	b	b	NOUN
ejpam-5295	208	3	,	,	PUNCT
ejpam-5295	208	4	2aη(n	2aη(n	NUM
ejpam-5295	208	5	)	)	PUNCT
ejpam-5295	208	6	−	−	NUM
ejpam-5295	208	7	h+	h+	NOUN
ejpam-5295	208	8	1	1	NUM
ejpam-5295	208	9	)	)	PUNCT
ejpam-5295	208	10	for	for	ADP
ejpam-5295	208	11	p	p	PRON
ejpam-5295	208	12	≥	≥	PROPN
ejpam-5295	208	13	l	l	NOUN
ejpam-5295	208	14	(	(	PUNCT
ejpam-5295	208	15	h−	h−	PROPN
ejpam-5295	208	16	2	2	NUM
ejpam-5295	208	17	,	,	PUNCT
ejpam-5295	208	18	aη(n	aη(n	NUM
ejpam-5295	208	19	)	)	PUNCT
ejpam-5295	209	1	+	+	CCONJ
ejpam-5295	209	2	b	b	NOUN
ejpam-5295	209	3	,	,	PUNCT
ejpam-5295	209	4	2aη(n	2aη(n	NUM
ejpam-5295	209	5	)	)	PUNCT
ejpam-5295	209	6	−	−	NUM
ejpam-5295	209	7	h+	h+	NOUN
ejpam-5295	209	8	1	1	NUM
ejpam-5295	209	9	)	)	PUNCT
ejpam-5295	209	10	for	for	ADP
ejpam-5295	209	11	p	p	NOUN
ejpam-5295	209	12	<	<	X
ejpam-5295	209	13	l	l	NOUN
ejpam-5295	209	14	(	(	PUNCT
ejpam-5295	209	15	h−	h−	PROPN
ejpam-5295	209	16	2	2	NUM
ejpam-5295	209	17	,	,	PUNCT
ejpam-5295	209	18	aη(i	aη(i	NUM
ejpam-5295	209	19	)	)	PUNCT
ejpam-5295	209	20	−	−	ADP
ejpam-5295	210	1	3	3	NUM
ejpam-5295	210	2	,	,	PUNCT
ejpam-5295	210	3	2aη(n	2aη(n	NUM
ejpam-5295	210	4	)	)	PUNCT
ejpam-5295	210	5	−	−	PROPN
ejpam-5295	210	6	aη(i	aη(i	NUM
ejpam-5295	210	7	)	)	PUNCT
ejpam-5295	210	8	)	)	PUNCT
ejpam-5295	211	1	for	for	ADP
ejpam-5295	211	2	h	h	PROPN
ejpam-5295	211	3	≥	≥	NOUN
ejpam-5295	211	4	aη(i)+1	aη(i)+1	NOUN
ejpam-5295	211	5	•	•	NUM
ejpam-5295	211	6	case	case	NOUN
ejpam-5295	211	7	4	4	NUM
ejpam-5295	211	8	.	.	PUNCT
ejpam-5295	212	1	if	if	SCONJ
ejpam-5295	212	2	p	p	PROPN
ejpam-5295	212	3	and	and	CCONJ
ejpam-5295	212	4	l	l	NOUN
ejpam-5295	212	5	both	both	PRON
ejpam-5295	212	6	are	be	AUX
ejpam-5295	212	7	even	even	ADV
ejpam-5295	212	8	.	.	PUNCT
ejpam-5295	213	1	r(cξ(p	r(cξ(p	NOUN
ejpam-5295	213	2	,	,	PUNCT
ejpam-5295	213	3	l)|t	l)|t	NOUN
ejpam-5295	213	4	)	)	PUNCT
ejpam-5295	214	1	=	=	PUNCT
ejpam-5295	214	2			PROPN
ejpam-5295	214	3	(	(	PUNCT
ejpam-5295	214	4	h−	h−	PROPN
ejpam-5295	214	5	2	2	NUM
ejpam-5295	214	6	,	,	PUNCT
ejpam-5295	214	7	aη(n	aη(n	NUM
ejpam-5295	214	8	)	)	PUNCT
ejpam-5295	215	1	+	+	CCONJ
ejpam-5295	215	2	b	b	NOUN
ejpam-5295	215	3	,	,	PUNCT
ejpam-5295	215	4	2aη(n	2aη(n	NUM
ejpam-5295	215	5	)	)	PUNCT
ejpam-5295	215	6	−	−	NUM
ejpam-5295	215	7	h+	h+	NOUN
ejpam-5295	215	8	1	1	NUM
ejpam-5295	215	9	)	)	PUNCT
ejpam-5295	215	10	for	for	ADP
ejpam-5295	215	11	p	p	NOUN
ejpam-5295	215	12	=	=	SYM
ejpam-5295	215	13	2	2	NUM
ejpam-5295	215	14	,	,	PUNCT
ejpam-5295	215	15	l	l	NOUN
ejpam-5295	215	16	=	=	SYM
ejpam-5295	215	17	2	2	NUM
ejpam-5295	215	18	(	(	PUNCT
ejpam-5295	215	19	h−	h−	PROPN
ejpam-5295	215	20	2	2	NUM
ejpam-5295	215	21	,	,	PUNCT
ejpam-5295	215	22	aη(n	aη(n	NUM
ejpam-5295	215	23	)	)	PUNCT
ejpam-5295	215	24	+	+	CCONJ
ejpam-5295	215	25	b	b	NOUN
ejpam-5295	215	26	,	,	PUNCT
ejpam-5295	215	27	2aη(n	2aη(n	NUM
ejpam-5295	215	28	)	)	PUNCT
ejpam-5295	215	29	−	−	NOUN
ejpam-5295	215	30	aη(i	aη(i	NOUN
ejpam-5295	215	31	)	)	PUNCT
ejpam-5295	215	32	−	−	ADP
ejpam-5295	216	1	1	1	NUM
ejpam-5295	216	2	)	)	PUNCT
ejpam-5295	216	3	for	for	ADP
ejpam-5295	216	4	p	p	NOUN
ejpam-5295	216	5	=	=	SYM
ejpam-5295	216	6	2	2	NUM
ejpam-5295	216	7	,	,	PUNCT
ejpam-5295	216	8	l	l	NOUN
ejpam-5295	216	9	=	=	SYM
ejpam-5295	216	10	4	4	NUM
ejpam-5295	216	11	,	,	PUNCT
ejpam-5295	216	12	6	6	NUM
ejpam-5295	216	13	,	,	PUNCT
ejpam-5295	216	14	8	8	NUM
ejpam-5295	216	15	,	,	PUNCT
ejpam-5295	216	16	10	10	NUM
ejpam-5295	216	17	,	,	PUNCT
ejpam-5295	216	18	.	.	PUNCT
ejpam-5295	216	19	.	.	PUNCT
ejpam-5295	216	20	.	.	PUNCT
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ejpam-5295	217	2	h−	h−	NOUN
ejpam-5295	217	3	2	2	NUM
ejpam-5295	217	4	,	,	PUNCT
ejpam-5295	217	5	aη(n	aη(n	NUM
ejpam-5295	217	6	)	)	PUNCT
ejpam-5295	217	7	+	+	CCONJ
ejpam-5295	217	8	b	b	NOUN
ejpam-5295	217	9	,	,	PUNCT
ejpam-5295	217	10	2aη(n	2aη(n	NUM
ejpam-5295	217	11	)	)	PUNCT
ejpam-5295	217	12	−	−	NUM
ejpam-5295	217	13	h+	h+	NOUN
ejpam-5295	217	14	1	1	NUM
ejpam-5295	217	15	)	)	PUNCT
ejpam-5295	217	16	for	for	ADP
ejpam-5295	217	17	p	p	NOUN
ejpam-5295	217	18	=	=	NOUN
ejpam-5295	217	19	4	4	NUM
ejpam-5295	217	20	,	,	PUNCT
ejpam-5295	217	21	l	l	NOUN
ejpam-5295	217	22	=	=	SYM
ejpam-5295	217	23	2	2	NUM
ejpam-5295	217	24	,	,	PUNCT
ejpam-5295	217	25	4	4	NUM
ejpam-5295	217	26	,	,	PUNCT
ejpam-5295	217	27	6	6	NUM
ejpam-5295	217	28	(	(	PUNCT
ejpam-5295	217	29	h−	h−	PROPN
ejpam-5295	217	30	2	2	NUM
ejpam-5295	217	31	,	,	PUNCT
ejpam-5295	217	32	aη(n	aη(n	NUM
ejpam-5295	217	33	)	)	PUNCT
ejpam-5295	218	1	+	+	CCONJ
ejpam-5295	218	2	b	b	NOUN
ejpam-5295	218	3	,	,	PUNCT
ejpam-5295	218	4	2aη(n	2aη(n	NUM
ejpam-5295	218	5	)	)	PUNCT
ejpam-5295	218	6	−	−	PROPN
ejpam-5295	218	7	h−	h−	PROPN
ejpam-5295	218	8	1	1	NUM
ejpam-5295	218	9	)	)	PUNCT
ejpam-5295	218	10	for	for	ADP
ejpam-5295	218	11	p	p	NOUN
ejpam-5295	218	12	=	=	NOUN
ejpam-5295	218	13	4	4	NUM
ejpam-5295	218	14	,	,	PUNCT
ejpam-5295	218	15	l	l	NOUN
ejpam-5295	218	16	=	=	SYM
ejpam-5295	218	17	8	8	NUM
ejpam-5295	218	18	,	,	PUNCT
ejpam-5295	218	19	10	10	NUM
ejpam-5295	218	20	,	,	PUNCT
ejpam-5295	218	21	12	12	NUM
ejpam-5295	218	22	,	,	PUNCT
ejpam-5295	218	23	.	.	PUNCT
ejpam-5295	218	24	.	.	PUNCT
ejpam-5295	218	25	.	.	PUNCT
ejpam-5295	219	1	(	(	PUNCT
ejpam-5295	219	2	aη(i	aη(i	NOUN
ejpam-5295	219	3	)	)	PUNCT
ejpam-5295	219	4	−	−	ADP
ejpam-5295	219	5	2	2	NUM
ejpam-5295	219	6	,	,	PUNCT
ejpam-5295	219	7	aη(n	aη(n	NUM
ejpam-5295	219	8	)	)	PUNCT
ejpam-5295	219	9	+	+	CCONJ
ejpam-5295	219	10	b	b	NOUN
ejpam-5295	219	11	,	,	PUNCT
ejpam-5295	219	12	2aη(n	2aη(n	NUM
ejpam-5295	219	13	)	)	PUNCT
ejpam-5295	219	14	−	−	NUM
ejpam-5295	219	15	h+	h+	NOUN
ejpam-5295	219	16	1	1	NUM
ejpam-5295	219	17	)	)	PUNCT
ejpam-5295	219	18	for	for	ADP
ejpam-5295	219	19	p	p	PRON
ejpam-5295	219	20	≥	≥	PROPN
ejpam-5295	219	21	l	l	NOUN
ejpam-5295	219	22	(	(	PUNCT
ejpam-5295	219	23	h−	h−	PROPN
ejpam-5295	219	24	2	2	NUM
ejpam-5295	219	25	,	,	PUNCT
ejpam-5295	219	26	aη(n	aη(n	NUM
ejpam-5295	219	27	)	)	PUNCT
ejpam-5295	219	28	+	+	CCONJ
ejpam-5295	219	29	b	b	NOUN
ejpam-5295	219	30	,	,	PUNCT
ejpam-5295	219	31	2aη(n	2aη(n	NUM
ejpam-5295	219	32	)	)	PUNCT
ejpam-5295	219	33	−	−	NUM
ejpam-5295	219	34	h+	h+	NOUN
ejpam-5295	219	35	1	1	NUM
ejpam-5295	219	36	)	)	PUNCT
ejpam-5295	219	37	for	for	ADP
ejpam-5295	219	38	p	p	NOUN
ejpam-5295	219	39	<	<	X
ejpam-5295	219	40	l	l	NOUN
ejpam-5295	219	41	(	(	PUNCT
ejpam-5295	219	42	h−	h−	PROPN
ejpam-5295	219	43	2	2	NUM
ejpam-5295	219	44	,	,	PUNCT
ejpam-5295	219	45	aη(i	aη(i	NUM
ejpam-5295	219	46	)	)	PUNCT
ejpam-5295	219	47	−	−	ADP
ejpam-5295	219	48	2	2	NUM
ejpam-5295	219	49	,	,	PUNCT
ejpam-5295	219	50	2aη(n	2aη(n	NUM
ejpam-5295	219	51	)	)	PUNCT
ejpam-5295	219	52	−	−	NOUN
ejpam-5295	219	53	aη(i	aη(i	NOUN
ejpam-5295	219	54	)	)	PUNCT
ejpam-5295	219	55	−	−	ADP
ejpam-5295	220	1	1	1	NUM
ejpam-5295	220	2	)	)	PUNCT
ejpam-5295	220	3	for	for	ADP
ejpam-5295	220	4	h	h	PROPN
ejpam-5295	220	5	≥	≥	NOUN
ejpam-5295	220	6	aη(i)+1	aη(i)+1	NOUN
ejpam-5295	220	7	•	•	NUM
ejpam-5295	220	8	case	case	NOUN
ejpam-5295	220	9	5	5	NUM
ejpam-5295	220	10	.	.	X
ejpam-5295	221	1	for	for	ADP
ejpam-5295	221	2	the	the	DET
ejpam-5295	221	3	last	last	ADJ
ejpam-5295	221	4	row	row	NOUN
ejpam-5295	221	5	r(cξ(p	r(cξ(p	NOUN
ejpam-5295	221	6	,	,	PUNCT
ejpam-5295	221	7	l)|t	l)|t	NOUN
ejpam-5295	221	8	)	)	PUNCT
ejpam-5295	221	9	=	=	PRON
ejpam-5295	221	10	{	{	PUNCT
ejpam-5295	221	11	(	(	PUNCT
ejpam-5295	221	12	aη(i	aη(i	NOUN
ejpam-5295	221	13	)	)	PUNCT
ejpam-5295	221	14	−	−	ADP
ejpam-5295	221	15	3	3	NUM
ejpam-5295	221	16	,	,	PUNCT
ejpam-5295	221	17	aη(i	aη(i	NUM
ejpam-5295	221	18	)	)	PUNCT
ejpam-5295	221	19	−	−	ADP
ejpam-5295	221	20	3	3	NUM
ejpam-5295	221	21	,	,	PUNCT
ejpam-5295	221	22	b	b	NOUN
ejpam-5295	221	23	)	)	PUNCT
ejpam-5295	221	24	for	for	ADP
ejpam-5295	221	25	if	if	SCONJ
ejpam-5295	221	26	l	l	NOUN
ejpam-5295	221	27	is	be	AUX
ejpam-5295	221	28	odd	odd	ADJ
ejpam-5295	221	29	(	(	PUNCT
ejpam-5295	221	30	aη(i	aη(i	NOUN
ejpam-5295	221	31	)	)	PUNCT
ejpam-5295	221	32	−	−	ADP
ejpam-5295	221	33	2	2	NUM
ejpam-5295	221	34	,	,	PUNCT
ejpam-5295	221	35	aη(i	aη(i	NUM
ejpam-5295	221	36	)	)	PUNCT
ejpam-5295	221	37	−	−	ADP
ejpam-5295	221	38	2	2	NUM
ejpam-5295	221	39	,	,	PUNCT
ejpam-5295	221	40	b	b	NOUN
ejpam-5295	221	41	)	)	PUNCT
ejpam-5295	221	42	for	for	ADP
ejpam-5295	221	43	pf	pf	PROPN
ejpam-5295	221	44	l	l	NOUN
ejpam-5295	221	45	is	be	AUX
ejpam-5295	221	46	even	even	ADV
ejpam-5295	221	47	consequently	consequently	ADV
ejpam-5295	221	48	,	,	PUNCT
ejpam-5295	221	49	the	the	DET
ejpam-5295	221	50	md	md	PROPN
ejpam-5295	221	51	of	of	ADP
ejpam-5295	221	52	the	the	DET
ejpam-5295	221	53	carbon	carbon	NOUN
ejpam-5295	221	54	nanotube	nanotube	NOUN
ejpam-5295	221	55	remains	remain	VERB
ejpam-5295	221	56	at	at	ADP
ejpam-5295	221	57	3	3	NUM
ejpam-5295	221	58	.	.	PUNCT
ejpam-5295	222	1	the	the	DET
ejpam-5295	222	2	md	md	PROPN
ejpam-5295	222	3	of	of	ADP
ejpam-5295	222	4	a	a	DET
ejpam-5295	222	5	carbon	carbon	NOUN
ejpam-5295	222	6	nanotube	nanotube	NOUN
ejpam-5295	222	7	is	be	AUX
ejpam-5295	222	8	determined	determine	VERB
ejpam-5295	222	9	to	to	PART
ejpam-5295	222	10	be	be	AUX
ejpam-5295	222	11	3	3	NUM
ejpam-5295	222	12	,	,	PUNCT
ejpam-5295	222	13	signifying	signify	VERB
ejpam-5295	222	14	that	that	SCONJ
ejpam-5295	222	15	at	at	ADV
ejpam-5295	222	16	least	least	ADV
ejpam-5295	222	17	three	three	NUM
ejpam-5295	222	18	vertices	vertex	NOUN
ejpam-5295	222	19	are	be	AUX
ejpam-5295	222	20	necessary	necessary	ADJ
ejpam-5295	222	21	to	to	PART
ejpam-5295	222	22	uniquely	uniquely	ADV
ejpam-5295	222	23	determine	determine	VERB
ejpam-5295	222	24	the	the	DET
ejpam-5295	222	25	location	location	NOUN
ejpam-5295	222	26	of	of	ADP
ejpam-5295	222	27	any	any	DET
ejpam-5295	222	28	other	other	ADJ
ejpam-5295	222	29	vertex	vertex	NOUN
ejpam-5295	222	30	on	on	ADP
ejpam-5295	222	31	the	the	DET
ejpam-5295	222	32	nanotube	nanotube	NOUN
ejpam-5295	222	33	.	.	PUNCT
ejpam-5295	223	1	u.	u.	PROPN
ejpam-5295	223	2	farooq	farooq	PROPN
ejpam-5295	223	3	et	et	PROPN
ejpam-5295	223	4	al	al	PROPN
ejpam-5295	223	5	.	.	PUNCT
ejpam-5295	223	6	/	/	SYM
ejpam-5295	223	7	eur	eur	PROPN
ejpam-5295	223	8	.	.	PUNCT
ejpam-5295	224	1	j.	j.	PROPN
ejpam-5295	224	2	pure	pure	PROPN
ejpam-5295	224	3	appl	appl	PROPN
ejpam-5295	224	4	.	.	PROPN
ejpam-5295	224	5	math	math	PROPN
ejpam-5295	224	6	,	,	PUNCT
ejpam-5295	224	7	17	17	NUM
ejpam-5295	224	8	(	(	PUNCT
ejpam-5295	224	9	3	3	NUM
ejpam-5295	224	10	)	)	PUNCT
ejpam-5295	224	11	(	(	PUNCT
ejpam-5295	224	12	2024	2024	NUM
ejpam-5295	224	13	)	)	PUNCT
ejpam-5295	224	14	,	,	PUNCT
ejpam-5295	224	15	2055	2055	NUM
ejpam-5295	224	16	-	-	SYM
ejpam-5295	224	17	2072	2072	NUM
ejpam-5295	224	18	2064	2064	NUM
ejpam-5295	224	19	this	this	PRON
ejpam-5295	224	20	implies	imply	VERB
ejpam-5295	224	21	that	that	PRON
ejpam-5295	224	22	to	to	PART
ejpam-5295	224	23	efficiently	efficiently	ADV
ejpam-5295	224	24	navigate	navigate	VERB
ejpam-5295	224	25	or	or	CCONJ
ejpam-5295	224	26	locate	locate	ADJ
ejpam-5295	224	27	points	point	NOUN
ejpam-5295	224	28	within	within	ADP
ejpam-5295	224	29	the	the	DET
ejpam-5295	224	30	nanotube	nanotube	ADJ
ejpam-5295	224	31	structure	structure	NOUN
ejpam-5295	224	32	,	,	PUNCT
ejpam-5295	224	33	a	a	DET
ejpam-5295	224	34	minimum	minimum	NOUN
ejpam-5295	224	35	of	of	ADP
ejpam-5295	224	36	three	three	NUM
ejpam-5295	224	37	reference	reference	NOUN
ejpam-5295	224	38	points	point	NOUN
ejpam-5295	224	39	,	,	PUNCT
ejpam-5295	224	40	or	or	CCONJ
ejpam-5295	224	41	landmarks	landmark	NOUN
ejpam-5295	224	42	,	,	PUNCT
ejpam-5295	224	43	are	be	AUX
ejpam-5295	224	44	required	require	VERB
ejpam-5295	224	45	,	,	PUNCT
ejpam-5295	224	46	showcasing	showcase	VERB
ejpam-5295	224	47	the	the	DET
ejpam-5295	224	48	intricacy	intricacy	NOUN
ejpam-5295	224	49	of	of	ADP
ejpam-5295	224	50	its	its	PRON
ejpam-5295	224	51	spatial	spatial	ADJ
ejpam-5295	224	52	arrangement	arrangement	NOUN
ejpam-5295	224	53	and	and	CCONJ
ejpam-5295	224	54	the	the	DET
ejpam-5295	224	55	necessity	necessity	NOUN
ejpam-5295	224	56	for	for	ADP
ejpam-5295	224	57	a	a	DET
ejpam-5295	224	58	minimal	minimal	ADJ
ejpam-5295	224	59	set	set	NOUN
ejpam-5295	224	60	of	of	ADP
ejpam-5295	224	61	coordinates	coordinate	NOUN
ejpam-5295	224	62	to	to	PART
ejpam-5295	224	63	characterize	characterize	VERB
ejpam-5295	224	64	its	its	PRON
ejpam-5295	224	65	topology	topology	NOUN
ejpam-5295	224	66	accurately	accurately	ADV
ejpam-5295	224	67	.	.	PUNCT
ejpam-5295	225	1	theorem	theorem	VERB
ejpam-5295	225	2	3.2	3.2	NUM
ejpam-5295	225	3	the	the	DET
ejpam-5295	225	4	md	md	PROPN
ejpam-5295	225	5	of	of	ADP
ejpam-5295	225	6	the	the	DET
ejpam-5295	225	7	carbon	carbon	NOUN
ejpam-5295	225	8	nanotube	nanotube	NOUN
ejpam-5295	225	9	for	for	ADP
ejpam-5295	225	10	a	a	DET
ejpam-5295	225	11	p×	p×	PROPN
ejpam-5295	225	12	l	l	NOUN
ejpam-5295	225	13	,	,	PUNCT
ejpam-5295	225	14	2	2	NUM
ejpam-5295	225	15	-	-	SYM
ejpam-5295	225	16	d	d	PROPN
ejpam-5295	225	17	lattice	lattice	NOUN
ejpam-5295	225	18	carbon	carbon	NOUN
ejpam-5295	225	19	nanotube	nanotube	NOUN
ejpam-5295	225	20	is	be	AUX
ejpam-5295	225	21	at	at	ADV
ejpam-5295	225	22	least	least	ADJ
ejpam-5295	225	23	3	3	NUM
ejpam-5295	225	24	.	.	PUNCT
ejpam-5295	225	25	proof	proof	NOUN
ejpam-5295	225	26	.	.	PUNCT
ejpam-5295	226	1	the	the	DET
ejpam-5295	226	2	divisions	division	NOUN
ejpam-5295	226	3	of	of	ADP
ejpam-5295	226	4	g	g	PROPN
ejpam-5295	226	5	’s	’s	PART
ejpam-5295	226	6	vertices	vertex	NOUN
ejpam-5295	226	7	are	be	AUX
ejpam-5295	226	8	as	as	SCONJ
ejpam-5295	226	9	follows	follow	VERB
ejpam-5295	226	10	:	:	PUNCT
ejpam-5295	226	11	{	{	PUNCT
ejpam-5295	226	12	cξ(1,1	cξ(1,1	NOUN
ejpam-5295	226	13	)	)	PUNCT
ejpam-5295	226	14	,	,	PUNCT
ejpam-5295	226	15	cξ(1,2	cξ(1,2	NUM
ejpam-5295	226	16	)	)	PUNCT
ejpam-5295	226	17	,	,	PUNCT
ejpam-5295	226	18	.	.	PUNCT
ejpam-5295	226	19	.	.	PUNCT
ejpam-5295	227	1	.	.	PUNCT
ejpam-5295	228	1	,	,	PUNCT
ejpam-5295	228	2	cξ(1,l	cξ(1,l	NOUN
ejpam-5295	228	3	)	)	PUNCT
ejpam-5295	228	4	,	,	PUNCT
ejpam-5295	228	5	cξ(2,1	cξ(2,1	PROPN
ejpam-5295	228	6	)	)	PUNCT
ejpam-5295	228	7	,	,	PUNCT
ejpam-5295	228	8	cξ(2,2	cξ(2,2	PROPN
ejpam-5295	228	9	)	)	PUNCT
ejpam-5295	228	10	,	,	PUNCT
ejpam-5295	228	11	cξ(2,3	cξ(2,3	PROPN
ejpam-5295	228	12	)	)	PUNCT
ejpam-5295	228	13	,	,	PUNCT
ejpam-5295	228	14	.	.	PUNCT
ejpam-5295	228	15	.	.	PUNCT
ejpam-5295	229	1	.	.	PUNCT
ejpam-5295	230	1	,	,	PUNCT
ejpam-5295	230	2	cξ(2,l	cξ(2,l	PROPN
ejpam-5295	230	3	)	)	PUNCT
ejpam-5295	230	4	,	,	PUNCT
ejpam-5295	230	5	cξ(3,1	cξ(3,1	PROPN
ejpam-5295	230	6	)	)	PUNCT
ejpam-5295	230	7	,	,	PUNCT
ejpam-5295	230	8	cξ(3,2	cξ(3,2	NOUN
ejpam-5295	230	9	)	)	PUNCT
ejpam-5295	230	10	,	,	PUNCT
ejpam-5295	230	11	cξ(3,3	cξ(3,3	NOUN
ejpam-5295	230	12	)	)	PUNCT
ejpam-5295	230	13	,	,	PUNCT
ejpam-5295	230	14	.	.	PUNCT
ejpam-5295	230	15	.	.	PUNCT
ejpam-5295	231	1	.	.	PUNCT
ejpam-5295	232	1	,	,	PUNCT
ejpam-5295	232	2	cξ(3,l	cξ(3,l	PROPN
ejpam-5295	232	3	)	)	PUNCT
ejpam-5295	232	4	,	,	PUNCT
ejpam-5295	232	5	.	.	PUNCT
ejpam-5295	232	6	.	.	PUNCT
ejpam-5295	233	1	.	.	PUNCT
ejpam-5295	234	1	,	,	PUNCT
ejpam-5295	234	2	cξ(p,1	cξ(p,1	PROPN
ejpam-5295	234	3	)	)	PUNCT
ejpam-5295	234	4	,	,	PUNCT
ejpam-5295	234	5	cξ(p,2	cξ(p,2	NOUN
ejpam-5295	234	6	)	)	PUNCT
ejpam-5295	234	7	,	,	PUNCT
ejpam-5295	234	8	cξ(p,3	cξ(p,3	PROPN
ejpam-5295	234	9	)	)	PUNCT
ejpam-5295	234	10	,	,	PUNCT
ejpam-5295	234	11	.	.	PUNCT
ejpam-5295	234	12	.	.	PUNCT
ejpam-5295	235	1	.	.	PUNCT
ejpam-5295	236	1	,	,	PUNCT
ejpam-5295	236	2	cξ(p	cξ(p	NOUN
ejpam-5295	236	3	,	,	PUNCT
ejpam-5295	236	4	l	l	NOUN
ejpam-5295	236	5	)	)	PUNCT
ejpam-5295	236	6	}	}	PUNCT
ejpam-5295	236	7	the	the	DET
ejpam-5295	236	8	number	number	NOUN
ejpam-5295	236	9	of	of	ADP
ejpam-5295	236	10	columns	column	NOUN
ejpam-5295	236	11	is	be	AUX
ejpam-5295	236	12	denoted	denote	VERB
ejpam-5295	236	13	by	by	ADP
ejpam-5295	236	14	p	p	NOUN
ejpam-5295	236	15	,	,	PUNCT
ejpam-5295	236	16	vertices	vertex	NOUN
ejpam-5295	236	17	by	by	ADP
ejpam-5295	236	18	l	l	NOUN
ejpam-5295	236	19	,	,	PUNCT
ejpam-5295	236	20	and	and	CCONJ
ejpam-5295	236	21	the	the	DET
ejpam-5295	236	22	number	number	NOUN
ejpam-5295	236	23	of	of	ADP
ejpam-5295	236	24	cells	cell	NOUN
ejpam-5295	236	25	in	in	ADP
ejpam-5295	236	26	the	the	DET
ejpam-5295	236	27	first	first	ADJ
ejpam-5295	236	28	column	column	NOUN
ejpam-5295	236	29	by	by	ADP
ejpam-5295	236	30	n.	n.	NOUN
ejpam-5295	236	31	here	here	ADV
ejpam-5295	236	32	,	,	PUNCT
ejpam-5295	236	33	we	we	PRON
ejpam-5295	236	34	proceed	proceed	VERB
ejpam-5295	236	35	under	under	ADP
ejpam-5295	236	36	the	the	DET
ejpam-5295	236	37	assumption	assumption	NOUN
ejpam-5295	236	38	that	that	SCONJ
ejpam-5295	236	39	t	t	PROPN
ejpam-5295	236	40	=	=	PRON
ejpam-5295	236	41	{	{	PUNCT
ejpam-5295	236	42	a(1,1	a(1,1	NOUN
ejpam-5295	236	43	)	)	PUNCT
ejpam-5295	236	44	,	,	PUNCT
ejpam-5295	236	45	a(1,2n+1	a(1,2n+1	ADJ
ejpam-5295	236	46	)	)	PUNCT
ejpam-5295	236	47	}	}	PUNCT
ejpam-5295	236	48	is	be	AUX
ejpam-5295	236	49	the	the	DET
ejpam-5295	236	50	resolving	resolving	NOUN
ejpam-5295	236	51	set	set	NOUN
ejpam-5295	236	52	,	,	PUNCT
ejpam-5295	236	53	assuming	assume	VERB
ejpam-5295	236	54	an	an	DET
ejpam-5295	236	55	md	md	NOUN
ejpam-5295	236	56	of	of	ADP
ejpam-5295	236	57	2	2	NUM
ejpam-5295	236	58	.	.	PUNCT
ejpam-5295	237	1	we	we	PRON
ejpam-5295	237	2	aim	aim	VERB
ejpam-5295	237	3	to	to	PART
ejpam-5295	237	4	demonstrate	demonstrate	VERB
ejpam-5295	237	5	contradictions	contradiction	NOUN
ejpam-5295	237	6	.	.	PUNCT
ejpam-5295	238	1	case	case	NOUN
ejpam-5295	238	2	vertices	vertice	VERB
ejpam-5295	238	3	n	n	X
ejpam-5295	238	4	=	=	SYM
ejpam-5295	238	5	2	2	NUM
ejpam-5295	238	6	r(e(8,1)|t	r(e(8,1)|t	PROPN
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ejpam-5295	238	10	)	)	PUNCT
ejpam-5295	238	11	n	n	NOUN
ejpam-5295	238	12	=	=	SYM
ejpam-5295	238	13	3	3	NUM
ejpam-5295	238	14	r(e(10,2)|t	r(e(10,2)|t	NOUN
ejpam-5295	238	15	)	)	PUNCT
ejpam-5295	239	1	=	=	SYM
ejpam-5295	239	2	r(e(10,3)|t	r(e(10,3)|t	PROPN
ejpam-5295	239	3	)	)	PUNCT
ejpam-5295	239	4	r(e(9,4)|t	r(e(9,4)|t	PROPN
ejpam-5295	239	5	)	)	PUNCT
ejpam-5295	239	6	=	=	PUNCT
ejpam-5295	239	7	r(e(9,3)|t	r(e(9,3)|t	X
ejpam-5295	239	8	)	)	PUNCT
ejpam-5295	239	9	r(e(12,2)|t	r(e(12,2)|t	NOUN
ejpam-5295	239	10	)	)	PUNCT
ejpam-5295	240	1	=	=	SYM
ejpam-5295	240	2	r(e(12,4)|t	r(e(12,4)|t	PROPN
ejpam-5295	240	3	)	)	PUNCT
ejpam-5295	240	4	=	=	SYM
ejpam-5295	240	5	r(e(12,6)|t	r(e(12,6)|t	NOUN
ejpam-5295	240	6	)	)	PUNCT
ejpam-5295	240	7	r(e(11,1)|t	r(e(11,1)|t	PROPN
ejpam-5295	240	8	)	)	PUNCT
ejpam-5295	240	9	=	=	X
ejpam-5295	240	10	r(e(11,2)|t	r(e(11,2)|t	NOUN
ejpam-5295	240	11	)	)	PUNCT
ejpam-5295	241	1	=	=	SYM
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ejpam-5295	241	3	)	)	PUNCT
ejpam-5295	241	4	=	=	SYM
ejpam-5295	241	5	r(e(11,4)|t	r(e(11,4)|t	NOUN
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ejpam-5295	241	9	)	)	PUNCT
ejpam-5295	242	1	n	n	NOUN
ejpam-5295	242	2	=	=	SYM
ejpam-5295	242	3	4	4	NUM
ejpam-5295	242	4	r(e(11,4)|t	r(e(11,4)|t	NOUN
ejpam-5295	242	5	)	)	PUNCT
ejpam-5295	242	6	=	=	SYM
ejpam-5295	242	7	r(e(11,5)|t	r(e(11,5)|t	PROPN
ejpam-5295	242	8	)	)	PUNCT
ejpam-5295	242	9	r(e(12,2)|t	r(e(12,2)|t	NOUN
ejpam-5295	242	10	)	)	PUNCT
ejpam-5295	242	11	=	=	SYM
ejpam-5295	242	12	r(e(12,3)|t	r(e(12,3)|t	PROPN
ejpam-5295	242	13	)	)	PUNCT
ejpam-5295	242	14	r(e(13,1)|t	r(e(13,1)|t	PROPN
ejpam-5295	242	15	)	)	PUNCT
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ejpam-5295	243	3	)	)	PUNCT
ejpam-5295	244	1	=	=	PUNCT
ejpam-5295	244	2	r(e(13,4)|t	r(e(13,4)|t	PROPN
ejpam-5295	244	3	)	)	PUNCT
ejpam-5295	244	4	=	=	SYM
ejpam-5295	244	5	r(e(13,5)|t	r(e(13,5)|t	NOUN
ejpam-5295	244	6	)	)	PUNCT
ejpam-5295	245	1	=	=	SYM
ejpam-5295	245	2	r(e(13,6)|t	r(e(13,6)|t	PROPN
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ejpam-5295	246	3	)	)	PUNCT
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ejpam-5295	246	5	)	)	PUNCT
ejpam-5295	246	6	=	=	SYM
ejpam-5295	246	7	r(e(14,3)|t	r(e(14,3)|t	NOUN
ejpam-5295	246	8	)	)	PUNCT
ejpam-5295	247	1	=	=	SYM
ejpam-5295	247	2	r(e(14,4)|t	r(e(14,4)|t	NOUN
ejpam-5295	247	3	)	)	PUNCT
ejpam-5295	247	4	r(e(16,1)|t	r(e(16,1)|t	NOUN
ejpam-5295	247	5	)	)	PUNCT
ejpam-5295	247	6	=	=	SYM
ejpam-5295	247	7	r(e(16,2)|t	r(e(16,2)|t	NOUN
ejpam-5295	247	8	)	)	PUNCT
ejpam-5295	247	9	=	=	SYM
ejpam-5295	247	10	r(e(16,3)|t	r(e(16,3)|t	NOUN
ejpam-5295	247	11	)	)	PUNCT
ejpam-5295	248	1	=	=	SYM
ejpam-5295	248	2	r(e(16,4)|t	r(e(16,4)|t	NOUN
ejpam-5295	248	3	)	)	PUNCT
ejpam-5295	248	4	r(e(17,1)|t	r(e(17,1)|t	NOUN
ejpam-5295	248	5	)	)	PUNCT
ejpam-5295	249	1	=	=	PRON
ejpam-5295	249	2	r(e(17,2)|t	r(e(17,2)|t	NOUN
ejpam-5295	249	3	)	)	PUNCT
ejpam-5295	249	4	=	=	SYM
ejpam-5295	249	5	r(e(17,3)|t	r(e(17,3)|t	NOUN
ejpam-5295	249	6	)	)	PUNCT
ejpam-5295	249	7	=	=	PUNCT
ejpam-5295	249	8	r(e(17,4)|t	r(e(17,4)|t	NOUN
ejpam-5295	249	9	)	)	PUNCT
ejpam-5295	250	1	=	=	SYM
ejpam-5295	250	2	r(e(17,5)|t	r(e(17,5)|t	PROPN
ejpam-5295	250	3	)	)	PUNCT
ejpam-5295	251	1	=	=	SYM
ejpam-5295	251	2	r(e(17,6)|t	r(e(17,6)|t	NOUN
ejpam-5295	251	3	)	)	PUNCT
ejpam-5295	251	4	n	n	NOUN
ejpam-5295	251	5	=	=	SYM
ejpam-5295	251	6	5	5	NUM
ejpam-5295	251	7	r(e(13,5)|t	r(e(13,5)|t	NOUN
ejpam-5295	251	8	)	)	PUNCT
ejpam-5295	251	9	=	=	SYM
ejpam-5295	251	10	r(e(13,6)|t	r(e(13,6)|t	PROPN
ejpam-5295	251	11	)	)	PUNCT
ejpam-5295	251	12	r(e(14,3)|t	r(e(14,3)|t	NOUN
ejpam-5295	251	13	)	)	PUNCT
ejpam-5295	252	1	=	=	SYM
ejpam-5295	252	2	r(e(14,4)|t	r(e(14,4)|t	NOUN
ejpam-5295	252	3	)	)	PUNCT
ejpam-5295	252	4	=	=	SYM
ejpam-5295	252	5	r(e(14,5)|t	r(e(14,5)|t	NOUN
ejpam-5295	252	6	)	)	PUNCT
ejpam-5295	252	7	r(e(15,3)|t	r(e(15,3)|t	NOUN
ejpam-5295	252	8	)	)	PUNCT
ejpam-5295	252	9	=	=	SYM
ejpam-5295	252	10	r(e(15,4)|t	r(e(15,4)|t	NOUN
ejpam-5295	252	11	)	)	PUNCT
ejpam-5295	253	1	=	=	SYM
ejpam-5295	253	2	r(e(15,5)|t	r(e(15,5)|t	NOUN
ejpam-5295	253	3	)	)	PUNCT
ejpam-5295	254	1	=	=	SYM
ejpam-5295	254	2	r(e(15,6)|t	r(e(15,6)|t	NOUN
ejpam-5295	254	3	)	)	PUNCT
ejpam-5295	254	4	r(e(16,2)|t	r(e(16,2)|t	NOUN
ejpam-5295	254	5	)	)	PUNCT
ejpam-5295	255	1	=	=	SYM
ejpam-5295	255	2	r(e(16,4)|t	r(e(16,4)|t	NOUN
ejpam-5295	255	3	)	)	PUNCT
ejpam-5295	255	4	=	=	SYM
ejpam-5295	255	5	r(e(16,3)|t	r(e(16,3)|t	NOUN
ejpam-5295	255	6	)	)	PUNCT
ejpam-5295	255	7	r(e(17,3)|t	r(e(17,3)|t	NOUN
ejpam-5295	255	8	)	)	PUNCT
ejpam-5295	256	1	=	=	PUNCT
ejpam-5295	256	2	r(e(17,4)|t	r(e(17,4)|t	NOUN
ejpam-5295	256	3	)	)	PUNCT
ejpam-5295	257	1	=	=	SYM
ejpam-5295	257	2	r(e(17,5)|t	r(e(17,5)|t	PROPN
ejpam-5295	257	3	)	)	PUNCT
ejpam-5295	258	1	=	=	SYM
ejpam-5295	258	2	r(e(17,6)|t	r(e(17,6)|t	NOUN
ejpam-5295	258	3	)	)	PUNCT
ejpam-5295	258	4	=	=	SYM
ejpam-5295	258	5	r(e(17,7)|t	r(e(17,7)|t	ADJ
ejpam-5295	258	6	)	)	PUNCT
ejpam-5295	258	7	r(e(18,2)|t	r(e(18,2)|t	NOUN
ejpam-5295	258	8	)	)	PUNCT
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ejpam-5295	258	11	)	)	PUNCT
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ejpam-5295	258	18	r(e(19,2)|t	r(e(19,2)|t	NOUN
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ejpam-5295	260	3	)	)	PUNCT
ejpam-5295	260	4	=	=	SYM
ejpam-5295	260	5	r(e(19,8)|t	r(e(19,8)|t	NOUN
ejpam-5295	260	6	)	)	PUNCT
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ejpam-5295	261	3	)	)	PUNCT
ejpam-5295	261	4	r(e(20,1)|t	r(e(20,1)|t	NOUN
ejpam-5295	261	5	)	)	PUNCT
ejpam-5295	262	1	=	=	SYM
ejpam-5295	262	2	r(e(20,2)|t	r(e(20,2)|t	NOUN
ejpam-5295	262	3	)	)	PUNCT
ejpam-5295	262	4	=	=	SYM
ejpam-5295	262	5	r(e(20,3)|t	r(e(20,3)|t	NOUN
ejpam-5295	262	6	)	)	PUNCT
ejpam-5295	262	7	=	=	SYM
ejpam-5295	262	8	r(e(20,4)|t	r(e(20,4)|t	X
ejpam-5295	262	9	)	)	PUNCT
ejpam-5295	263	1	=	=	SYM
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ejpam-5295	263	3	)	)	PUNCT
ejpam-5295	263	4	r(e(21,1)|t	r(e(21,1)|t	NOUN
ejpam-5295	263	5	)	)	PUNCT
ejpam-5295	263	6	=	=	SYM
ejpam-5295	263	7	r(e(21,2)|t	r(e(21,2)|t	NOUN
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ejpam-5295	263	9	=	=	SYM
ejpam-5295	263	10	r(e(21,3)|t	r(e(21,3)|t	NOUN
ejpam-5295	263	11	)	)	PUNCT
ejpam-5295	263	12	=	=	PUNCT
ejpam-5295	263	13	r(e(21,4)|t	r(e(21,4)|t	X
ejpam-5295	263	14	)	)	PUNCT
ejpam-5295	264	1	=	=	SYM
ejpam-5295	264	2	r(e(21,5)|t	r(e(21,5)|t	NOUN
ejpam-5295	264	3	)	)	PUNCT
ejpam-5295	264	4	table	table	NOUN
ejpam-5295	264	5	1	1	NUM
ejpam-5295	264	6	:	:	PUNCT
ejpam-5295	264	7	comparison	comparison	NOUN
ejpam-5295	264	8	of	of	ADP
ejpam-5295	264	9	vertices	vertex	NOUN
ejpam-5295	264	10	for	for	ADP
ejpam-5295	264	11	different	different	ADJ
ejpam-5295	264	12	cases	case	NOUN
ejpam-5295	264	13	u.	u.	PROPN
ejpam-5295	264	14	farooq	farooq	PROPN
ejpam-5295	264	15	et	et	PROPN
ejpam-5295	264	16	al	al	PROPN
ejpam-5295	264	17	.	.	PUNCT
ejpam-5295	264	18	/	/	SYM
ejpam-5295	264	19	eur	eur	PROPN
ejpam-5295	264	20	.	.	PUNCT
ejpam-5295	265	1	j.	j.	PROPN
ejpam-5295	265	2	pure	pure	PROPN
ejpam-5295	265	3	appl	appl	PROPN
ejpam-5295	265	4	.	.	PROPN
ejpam-5295	265	5	math	math	PROPN
ejpam-5295	265	6	,	,	PUNCT
ejpam-5295	265	7	17	17	NUM
ejpam-5295	265	8	(	(	PUNCT
ejpam-5295	265	9	3	3	NUM
ejpam-5295	265	10	)	)	PUNCT
ejpam-5295	265	11	(	(	PUNCT
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ejpam-5295	265	13	)	)	PUNCT
ejpam-5295	265	14	,	,	PUNCT
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ejpam-5295	265	17	2072	2072	NUM
ejpam-5295	265	18	2065	2065	NUM
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ejpam-5295	265	20	generalizing	generalize	VERB
ejpam-5295	265	21	,	,	PUNCT
ejpam-5295	265	22	we	we	PRON
ejpam-5295	265	23	have	have	VERB
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ejpam-5295	272	3	)	)	PUNCT
ejpam-5295	272	4	,	,	PUNCT
ejpam-5295	272	5	r(cξ(n+3,5)|t	r(cξ(n+3,5)|t	X
ejpam-5295	272	6	)	)	PUNCT
ejpam-5295	272	7	=	=	SYM
ejpam-5295	272	8	r(cξ(n+3,1)|t	r(cξ(n+3,1)|t	NOUN
ejpam-5295	272	9	)	)	PUNCT
ejpam-5295	272	10	=	=	SYM
ejpam-5295	272	11	r(cξ(n+3,3)|t	r(cξ(n+3,3)|t	NOUN
ejpam-5295	272	12	)	)	PUNCT
ejpam-5295	272	13	=	=	NOUN
ejpam-5295	272	14	r(cξ(n+3,7)|t	r(cξ(n+3,7)|t	NOUN
ejpam-5295	272	15	)	)	PUNCT
ejpam-5295	272	16	.	.	PUNCT
ejpam-5295	273	1	these	these	PRON
ejpam-5295	273	2	are	be	AUX
ejpam-5295	273	3	contradictions	contradiction	NOUN
ejpam-5295	273	4	.	.	PUNCT
ejpam-5295	274	1	hence	hence	ADV
ejpam-5295	274	2	,	,	PUNCT
ejpam-5295	274	3	the	the	DET
ejpam-5295	274	4	md	md	PROPN
ejpam-5295	274	5	of	of	ADP
ejpam-5295	274	6	the	the	DET
ejpam-5295	274	7	carbon	carbon	NOUN
ejpam-5295	274	8	nanotube	nanotube	NOUN
ejpam-5295	274	9	is	be	AUX
ejpam-5295	274	10	not	not	PART
ejpam-5295	274	11	less	less	ADJ
ejpam-5295	274	12	than	than	ADP
ejpam-5295	274	13	3	3	NUM
ejpam-5295	274	14	.	.	PUNCT
ejpam-5295	274	15	theorem	theorem	VERB
ejpam-5295	274	16	3.3	3.3	NUM
ejpam-5295	274	17	the	the	DET
ejpam-5295	274	18	emd	emd	PROPN
ejpam-5295	274	19	of	of	ADP
ejpam-5295	274	20	p×	p×	PROPN
ejpam-5295	274	21	l	l	NOUN
ejpam-5295	274	22	,	,	PUNCT
ejpam-5295	274	23	the	the	DET
ejpam-5295	274	24	2	2	NUM
ejpam-5295	274	25	-	-	PUNCT
ejpam-5295	274	26	d	d	PROPN
ejpam-5295	274	27	lattice	lattice	NOUN
ejpam-5295	274	28	carbon	carbon	NOUN
ejpam-5295	274	29	nanotube	nanotube	NOUN
ejpam-5295	274	30	is	be	AUX
ejpam-5295	274	31	3	3	NUM
ejpam-5295	274	32	.	.	PUNCT
ejpam-5295	274	33	proof	proof	NOUN
ejpam-5295	274	34	.	.	PUNCT
ejpam-5295	275	1	the	the	DET
ejpam-5295	275	2	division	division	NOUN
ejpam-5295	275	3	of	of	ADP
ejpam-5295	275	4	g	g	PROPN
ejpam-5295	275	5	’s	’s	PART
ejpam-5295	275	6	vertices	vertex	NOUN
ejpam-5295	275	7	is	be	AUX
ejpam-5295	275	8	as	as	SCONJ
ejpam-5295	275	9	follows	follow	VERB
ejpam-5295	275	10	.	.	PUNCT
ejpam-5295	276	1	{	{	PUNCT
ejpam-5295	276	2	e(1,1	e(1,1	X
ejpam-5295	276	3	)	)	PUNCT
ejpam-5295	276	4	,	,	PUNCT
ejpam-5295	276	5	e(1,2	e(1,2	NOUN
ejpam-5295	276	6	)	)	PUNCT
ejpam-5295	276	7	,	,	PUNCT
ejpam-5295	276	8	.	.	PUNCT
ejpam-5295	276	9	.	.	PUNCT
ejpam-5295	277	1	.	.	PUNCT
ejpam-5295	278	1	,	,	PUNCT
ejpam-5295	278	2	e(1,m	e(1,m	NOUN
ejpam-5295	278	3	)	)	PUNCT
ejpam-5295	278	4	,	,	PUNCT
ejpam-5295	278	5	e(2,1	e(2,1	NOUN
ejpam-5295	278	6	)	)	PUNCT
ejpam-5295	278	7	,	,	PUNCT
ejpam-5295	278	8	e(2,2	e(2,2	NOUN
ejpam-5295	278	9	)	)	PUNCT
ejpam-5295	278	10	,	,	PUNCT
ejpam-5295	278	11	.	.	PUNCT
ejpam-5295	278	12	.	.	PUNCT
ejpam-5295	279	1	.	.	PUNCT
ejpam-5295	280	1	,	,	PUNCT
ejpam-5295	280	2	e(2,m	e(2,m	NOUN
ejpam-5295	280	3	)	)	PUNCT
ejpam-5295	280	4	,	,	PUNCT
ejpam-5295	280	5	e(3,1	e(3,1	PROPN
ejpam-5295	280	6	)	)	PUNCT
ejpam-5295	280	7	,	,	PUNCT
ejpam-5295	280	8	e(3,2	e(3,2	NOUN
ejpam-5295	280	9	)	)	PUNCT
ejpam-5295	280	10	,	,	PUNCT
ejpam-5295	280	11	e(3,3	e(3,3	PROPN
ejpam-5295	280	12	)	)	PUNCT
ejpam-5295	280	13	,	,	PUNCT
ejpam-5295	280	14	.	.	PUNCT
ejpam-5295	280	15	.	.	PUNCT
ejpam-5295	281	1	.	.	PUNCT
ejpam-5295	282	1	,	,	PUNCT
ejpam-5295	282	2	e(3,m	e(3,m	NOUN
ejpam-5295	282	3	)	)	PUNCT
ejpam-5295	282	4	,	,	PUNCT
ejpam-5295	282	5	.	.	PUNCT
ejpam-5295	282	6	.	.	PUNCT
ejpam-5295	283	1	.	.	PUNCT
ejpam-5295	284	1	,	,	PUNCT
ejpam-5295	284	2	e(i,1	e(i,1	PROPN
ejpam-5295	284	3	)	)	PUNCT
ejpam-5295	284	4	,	,	PUNCT
ejpam-5295	284	5	e(i,2	e(i,2	NOUN
ejpam-5295	284	6	)	)	PUNCT
ejpam-5295	284	7	,	,	PUNCT
ejpam-5295	284	8	.	.	PUNCT
ejpam-5295	284	9	.	.	PUNCT
ejpam-5295	285	1	.	.	PUNCT
ejpam-5295	286	1	,	,	PUNCT
ejpam-5295	286	2	e(i	e(i	PROPN
ejpam-5295	286	3	,	,	PUNCT
ejpam-5295	286	4	m	m	NOUN
ejpam-5295	286	5	)	)	PUNCT
ejpam-5295	286	6	}	}	PUNCT
ejpam-5295	286	7	let	let	AUX
ejpam-5295	286	8	t	t	NOUN
ejpam-5295	286	9	=	=	SYM
ejpam-5295	286	10	{	{	PUNCT
ejpam-5295	286	11	e(1,1	e(1,1	NOUN
ejpam-5295	286	12	)	)	PUNCT
ejpam-5295	286	13	,	,	PUNCT
ejpam-5295	286	14	e(1,2n	e(1,2n	NUM
ejpam-5295	286	15	)	)	PUNCT
ejpam-5295	286	16	,	,	PUNCT
ejpam-5295	286	17	e(2n+1,n	e(2n+1,n	NOUN
ejpam-5295	286	18	)	)	PUNCT
ejpam-5295	286	19	}	}	PUNCT
ejpam-5295	286	20	be	be	AUX
ejpam-5295	286	21	a	a	DET
ejpam-5295	286	22	resolving	resolving	NOUN
ejpam-5295	286	23	set	set	NOUN
ejpam-5295	286	24	.	.	PUNCT
ejpam-5295	287	1	the	the	DET
ejpam-5295	287	2	number	number	NOUN
ejpam-5295	287	3	of	of	ADP
ejpam-5295	287	4	columns	column	NOUN
ejpam-5295	287	5	is	be	AUX
ejpam-5295	287	6	denoted	denote	VERB
ejpam-5295	287	7	by	by	ADP
ejpam-5295	287	8	i	i	PRON
ejpam-5295	287	9	,	,	PUNCT
ejpam-5295	287	10	vertices	vertice	VERB
ejpam-5295	287	11	by	by	ADP
ejpam-5295	287	12	m	m	PROPN
ejpam-5295	287	13	,	,	PUNCT
ejpam-5295	287	14	and	and	CCONJ
ejpam-5295	287	15	cells	cell	NOUN
ejpam-5295	287	16	by	by	ADP
ejpam-5295	287	17	n	n	PROPN
ejpam-5295	287	18	in	in	ADP
ejpam-5295	287	19	the	the	DET
ejpam-5295	287	20	first	first	ADJ
ejpam-5295	287	21	column	column	NOUN
ejpam-5295	287	22	.	.	PUNCT
ejpam-5295	288	1	figure	figure	VERB
ejpam-5295	288	2	1	1	NUM
ejpam-5295	288	3	:	:	PUNCT
ejpam-5295	288	4	graph	graph	NOUN
ejpam-5295	288	5	of	of	ADP
ejpam-5295	288	6	carbon	carbon	NOUN
ejpam-5295	288	7	nanotubes	nanotube	NOUN
ejpam-5295	288	8	with	with	ADP
ejpam-5295	288	9	n	n	NOUN
ejpam-5295	288	10	=	=	SYM
ejpam-5295	288	11	2	2	NUM
ejpam-5295	288	12	.	.	PUNCT
ejpam-5295	289	1	here	here	ADV
ejpam-5295	289	2	,	,	PUNCT
ejpam-5295	289	3	we	we	PRON
ejpam-5295	289	4	will	will	AUX
ejpam-5295	289	5	organize	organize	VERB
ejpam-5295	289	6	our	our	PRON
ejpam-5295	289	7	discussion	discussion	NOUN
ejpam-5295	289	8	of	of	ADP
ejpam-5295	289	9	edges	edge	NOUN
ejpam-5295	289	10	based	base	VERB
ejpam-5295	289	11	on	on	ADP
ejpam-5295	289	12	the	the	DET
ejpam-5295	289	13	line	line	NOUN
ejpam-5295	289	14	numbers	number	NOUN
ejpam-5295	289	15	.	.	PUNCT
ejpam-5295	290	1	initially	initially	ADV
ejpam-5295	290	2	,	,	PUNCT
ejpam-5295	290	3	we	we	PRON
ejpam-5295	290	4	’ll	’ll	AUX
ejpam-5295	290	5	focus	focus	VERB
ejpam-5295	290	6	on	on	ADP
ejpam-5295	290	7	lines	line	NOUN
ejpam-5295	290	8	1	1	NUM
ejpam-5295	290	9	,	,	PUNCT
ejpam-5295	290	10	5	5	NUM
ejpam-5295	290	11	,	,	PUNCT
ejpam-5295	290	12	9	9	NUM
ejpam-5295	290	13	,	,	PUNCT
ejpam-5295	290	14	13	13	NUM
ejpam-5295	290	15	,	,	PUNCT
ejpam-5295	290	16	...	...	PUNCT
ejpam-5295	290	17	aη(ξ	aη(ξ	PUNCT
ejpam-5295	290	18	)	)	PUNCT
ejpam-5295	291	1	=	=	SYM
ejpam-5295	291	2	2n	2n	NUM
ejpam-5295	291	3	u.	u.	PROPN
ejpam-5295	291	4	farooq	farooq	PROPN
ejpam-5295	291	5	et	et	PROPN
ejpam-5295	291	6	al	al	PROPN
ejpam-5295	291	7	.	.	PUNCT
ejpam-5295	291	8	/	/	SYM
ejpam-5295	291	9	eur	eur	PROPN
ejpam-5295	291	10	.	.	PUNCT
ejpam-5295	292	1	j.	j.	PROPN
ejpam-5295	292	2	pure	pure	PROPN
ejpam-5295	292	3	appl	appl	PROPN
ejpam-5295	292	4	.	.	PROPN
ejpam-5295	292	5	math	math	PROPN
ejpam-5295	292	6	,	,	PUNCT
ejpam-5295	292	7	17	17	NUM
ejpam-5295	292	8	(	(	PUNCT
ejpam-5295	292	9	3	3	NUM
ejpam-5295	292	10	)	)	PUNCT
ejpam-5295	292	11	(	(	PUNCT
ejpam-5295	292	12	2024	2024	NUM
ejpam-5295	292	13	)	)	PUNCT
ejpam-5295	292	14	,	,	PUNCT
ejpam-5295	292	15	2055	2055	NUM
ejpam-5295	292	16	-	-	SYM
ejpam-5295	292	17	2072	2072	NUM
ejpam-5295	292	18	2066	2066	NUM
ejpam-5295	292	19	•	•	NOUN
ejpam-5295	292	20	case	case	NOUN
ejpam-5295	292	21	1	1	X
ejpam-5295	292	22	.	.	PUNCT
ejpam-5295	293	1	i	i	PRON
ejpam-5295	293	2	=	=	NOUN
ejpam-5295	293	3	1	1	X
ejpam-5295	293	4	.	.	X
ejpam-5295	294	1	r(e(i	r(e(i	NOUN
ejpam-5295	294	2	,	,	PUNCT
ejpam-5295	294	3	m)|t	m)|t	X
ejpam-5295	294	4	)	)	PUNCT
ejpam-5295	295	1	=	=	PRON
ejpam-5295	295	2	{	{	PUNCT
ejpam-5295	295	3	(	(	PUNCT
ejpam-5295	295	4	i+m−	i+m−	PROPN
ejpam-5295	295	5	2	2	NUM
ejpam-5295	295	6	,	,	PUNCT
ejpam-5295	295	7	2n−m	2n−m	NUM
ejpam-5295	295	8	,	,	PUNCT
ejpam-5295	295	9	4n−	4n−	PROPN
ejpam-5295	295	10	i	i	NOUN
ejpam-5295	295	11	)	)	PUNCT
ejpam-5295	295	12	for	for	ADP
ejpam-5295	295	13	all	all	DET
ejpam-5295	295	14	i	i	PRON
ejpam-5295	295	15	=	=	NOUN
ejpam-5295	295	16	5	5	X
ejpam-5295	295	17	.	.	X
ejpam-5295	296	1	r(e(i	r(e(i	PROPN
ejpam-5295	296	2	,	,	PUNCT
ejpam-5295	296	3	m)|t	m)|t	X
ejpam-5295	296	4	)	)	PUNCT
ejpam-5295	297	1	=	=	SYM
ejpam-5295	297	2			PROPN
ejpam-5295	297	3	(	(	PUNCT
ejpam-5295	297	4	i−	i−	PROPN
ejpam-5295	297	5	2	2	NUM
ejpam-5295	297	6	,	,	PUNCT
ejpam-5295	297	7	2n−m+	2n−m+	NUM
ejpam-5295	297	8	2	2	NUM
ejpam-5295	297	9	,	,	PUNCT
ejpam-5295	297	10	4n−	4n−	NUM
ejpam-5295	297	11	i+	i+	NOUN
ejpam-5295	297	12	1	1	NUM
ejpam-5295	297	13	)	)	PUNCT
ejpam-5295	297	14	for	for	ADP
ejpam-5295	297	15	i−1	i−1	PROPN
ejpam-5295	297	16	2	2	NUM
ejpam-5295	297	17	≥	≥	NOUN
ejpam-5295	297	18	m	m	VERB
ejpam-5295	297	19	(	(	PUNCT
ejpam-5295	297	20	m+	m+	NOUN
ejpam-5295	297	21	1	1	NUM
ejpam-5295	297	22	,	,	PUNCT
ejpam-5295	297	23	2n−m+	2n−m+	NUM
ejpam-5295	297	24	2	2	NUM
ejpam-5295	297	25	,	,	PUNCT
ejpam-5295	297	26	4n−	4n−	PROPN
ejpam-5295	297	27	i	i	NOUN
ejpam-5295	297	28	)	)	PUNCT
ejpam-5295	297	29	for	for	ADP
ejpam-5295	297	30	i−1	i−1	PROPN
ejpam-5295	297	31	2	2	NUM
ejpam-5295	297	32	<	<	X
ejpam-5295	297	33	m	m	PROPN
ejpam-5295	297	34	(	(	PUNCT
ejpam-5295	297	35	m+	m+	NOUN
ejpam-5295	297	36	1	1	NUM
ejpam-5295	297	37	,	,	PUNCT
ejpam-5295	297	38	i−	i−	PROPN
ejpam-5295	297	39	2	2	NUM
ejpam-5295	297	40	,	,	PUNCT
ejpam-5295	297	41	4n−	4n−	PROPN
ejpam-5295	297	42	i	i	NOUN
ejpam-5295	297	43	)	)	PUNCT
ejpam-5295	297	44	for	for	ADP
ejpam-5295	297	45	i+m	i+m	NUM
ejpam-5295	297	46	>	>	SYM
ejpam-5295	297	47	2n+	2n+	NUM
ejpam-5295	297	48	5	5	NUM
ejpam-5295	298	1	i	i	NOUN
ejpam-5295	298	2	=	=	NOUN
ejpam-5295	298	3	9	9	X
ejpam-5295	298	4	.	.	X
ejpam-5295	299	1	r(e(i	r(e(i	NOUN
ejpam-5295	299	2	,	,	PUNCT
ejpam-5295	299	3	m)|t	m)|t	X
ejpam-5295	299	4	)	)	PUNCT
ejpam-5295	300	1	=	=	SYM
ejpam-5295	300	2			PROPN
ejpam-5295	300	3	(	(	PUNCT
ejpam-5295	300	4	i−	i−	PROPN
ejpam-5295	300	5	2	2	NUM
ejpam-5295	300	6	,	,	PUNCT
ejpam-5295	300	7	2n−m+	2n−m+	NUM
ejpam-5295	300	8	4	4	NUM
ejpam-5295	300	9	,	,	PUNCT
ejpam-5295	300	10	4n−	4n−	NUM
ejpam-5295	300	11	i+	i+	NOUN
ejpam-5295	300	12	3	3	NUM
ejpam-5295	300	13	)	)	PUNCT
ejpam-5295	300	14	for	for	ADP
ejpam-5295	300	15	i−1	i−1	PROPN
ejpam-5295	300	16	2	2	NUM
ejpam-5295	300	17	≥	≥	NOUN
ejpam-5295	300	18	m	m	VERB
ejpam-5295	300	19	(	(	PUNCT
ejpam-5295	300	20	m+	m+	NOUN
ejpam-5295	300	21	3	3	NUM
ejpam-5295	300	22	,	,	PUNCT
ejpam-5295	300	23	2n−m+	2n−m+	NUM
ejpam-5295	300	24	4	4	NUM
ejpam-5295	300	25	,	,	PUNCT
ejpam-5295	300	26	4n−	4n−	PROPN
ejpam-5295	300	27	i	i	NOUN
ejpam-5295	300	28	)	)	PUNCT
ejpam-5295	300	29	for	for	ADP
ejpam-5295	300	30	i−1	i−1	PROPN
ejpam-5295	300	31	2	2	NUM
ejpam-5295	300	32	<	<	X
ejpam-5295	300	33	m	m	PROPN
ejpam-5295	300	34	(	(	PUNCT
ejpam-5295	300	35	m+	m+	NOUN
ejpam-5295	300	36	3	3	NUM
ejpam-5295	300	37	,	,	PUNCT
ejpam-5295	300	38	i−	i−	PROPN
ejpam-5295	300	39	2	2	NUM
ejpam-5295	300	40	,	,	PUNCT
ejpam-5295	300	41	4n−	4n−	PROPN
ejpam-5295	300	42	i	i	NOUN
ejpam-5295	300	43	)	)	PUNCT
ejpam-5295	300	44	for	for	ADP
ejpam-5295	300	45	i+m	i+m	INTJ
ejpam-5295	300	46	>	>	SYM
ejpam-5295	300	47	2n+	2n+	NUM
ejpam-5295	300	48	7	7	NUM
ejpam-5295	300	49	i	i	NOUN
ejpam-5295	300	50	=	=	NOUN
ejpam-5295	300	51	13	13	NUM
ejpam-5295	300	52	.	.	PUNCT
ejpam-5295	301	1	r(e(i	r(e(i	PROPN
ejpam-5295	301	2	,	,	PUNCT
ejpam-5295	301	3	m)|t	m)|t	X
ejpam-5295	301	4	)	)	PUNCT
ejpam-5295	302	1	=	=	SYM
ejpam-5295	302	2			PROPN
ejpam-5295	302	3	(	(	PUNCT
ejpam-5295	302	4	i−	i−	PROPN
ejpam-5295	302	5	2	2	NUM
ejpam-5295	302	6	,	,	PUNCT
ejpam-5295	302	7	2n−m+	2n−m+	NUM
ejpam-5295	302	8	6	6	NUM
ejpam-5295	302	9	,	,	PUNCT
ejpam-5295	302	10	4n−	4n−	NUM
ejpam-5295	302	11	i+	i+	NOUN
ejpam-5295	302	12	5	5	NUM
ejpam-5295	302	13	)	)	PUNCT
ejpam-5295	302	14	for	for	ADP
ejpam-5295	302	15	i−1	i−1	PROPN
ejpam-5295	302	16	2	2	NUM
ejpam-5295	302	17	≥	≥	NOUN
ejpam-5295	302	18	m	m	VERB
ejpam-5295	302	19	(	(	PUNCT
ejpam-5295	302	20	m+	m+	NUM
ejpam-5295	302	21	5	5	NUM
ejpam-5295	302	22	,	,	PUNCT
ejpam-5295	302	23	2n−m+	2n−m+	NUM
ejpam-5295	302	24	6	6	NUM
ejpam-5295	302	25	,	,	PUNCT
ejpam-5295	302	26	4n−	4n−	PROPN
ejpam-5295	302	27	i	i	NOUN
ejpam-5295	302	28	)	)	PUNCT
ejpam-5295	302	29	for	for	ADP
ejpam-5295	302	30	i−1	i−1	PROPN
ejpam-5295	302	31	2	2	NUM
ejpam-5295	302	32	<	<	X
ejpam-5295	302	33	m	m	PROPN
ejpam-5295	302	34	(	(	PUNCT
ejpam-5295	302	35	m+	m+	NOUN
ejpam-5295	302	36	5	5	NUM
ejpam-5295	302	37	,	,	PUNCT
ejpam-5295	302	38	i−	i−	PROPN
ejpam-5295	302	39	2	2	NUM
ejpam-5295	302	40	,	,	PUNCT
ejpam-5295	302	41	4n−	4n−	PROPN
ejpam-5295	302	42	i	i	NOUN
ejpam-5295	302	43	)	)	PUNCT
ejpam-5295	302	44	for	for	ADP
ejpam-5295	302	45	i+m	i+m	INTJ
ejpam-5295	302	46	>	>	SYM
ejpam-5295	302	47	2n+	2n+	NUM
ejpam-5295	302	48	9	9	NUM
ejpam-5295	302	49	we	we	PRON
ejpam-5295	302	50	have	have	AUX
ejpam-5295	302	51	established	establish	VERB
ejpam-5295	302	52	the	the	DET
ejpam-5295	302	53	emd	emd	PROPN
ejpam-5295	302	54	for	for	ADP
ejpam-5295	302	55	lines	line	NOUN
ejpam-5295	302	56	1	1	NUM
ejpam-5295	302	57	,	,	PUNCT
ejpam-5295	302	58	5	5	NUM
ejpam-5295	302	59	,	,	PUNCT
ejpam-5295	302	60	9	9	NUM
ejpam-5295	302	61	,	,	PUNCT
ejpam-5295	302	62	and	and	CCONJ
ejpam-5295	302	63	13	13	NUM
ejpam-5295	302	64	.	.	PUNCT
ejpam-5295	303	1	we	we	PRON
ejpam-5295	303	2	will	will	AUX
ejpam-5295	303	3	continue	continue	VERB
ejpam-5295	303	4	this	this	DET
ejpam-5295	303	5	approach	approach	NOUN
ejpam-5295	303	6	to	to	PART
ejpam-5295	303	7	determine	determine	VERB
ejpam-5295	303	8	the	the	DET
ejpam-5295	303	9	emd	emd	PROPN
ejpam-5295	303	10	for	for	ADP
ejpam-5295	303	11	the	the	DET
ejpam-5295	303	12	subsequent	subsequent	ADJ
ejpam-5295	303	13	lines	line	NOUN
ejpam-5295	303	14	in	in	ADP
ejpam-5295	303	15	a	a	DET
ejpam-5295	303	16	similar	similar	ADJ
ejpam-5295	303	17	manner	manner	NOUN
ejpam-5295	303	18	.	.	PUNCT
ejpam-5295	303	19	”	"	PUNCT
ejpam-5295	304	1	we	we	PRON
ejpam-5295	304	2	have	have	AUX
ejpam-5295	304	3	established	establish	VERB
ejpam-5295	304	4	the	the	DET
ejpam-5295	304	5	emd	emd	PROPN
ejpam-5295	304	6	for	for	ADP
ejpam-5295	304	7	lines	line	NOUN
ejpam-5295	304	8	1	1	NUM
ejpam-5295	304	9	,	,	PUNCT
ejpam-5295	304	10	5	5	NUM
ejpam-5295	304	11	,	,	PUNCT
ejpam-5295	304	12	9	9	NUM
ejpam-5295	304	13	,	,	PUNCT
ejpam-5295	304	14	and	and	CCONJ
ejpam-5295	304	15	13	13	NUM
ejpam-5295	304	16	.	.	PUNCT
ejpam-5295	305	1	we	we	PRON
ejpam-5295	305	2	will	will	AUX
ejpam-5295	305	3	continue	continue	VERB
ejpam-5295	305	4	this	this	DET
ejpam-5295	305	5	approach	approach	NOUN
ejpam-5295	305	6	to	to	PART
ejpam-5295	305	7	determine	determine	VERB
ejpam-5295	305	8	the	the	DET
ejpam-5295	305	9	emd	emd	PROPN
ejpam-5295	305	10	for	for	ADP
ejpam-5295	305	11	the	the	DET
ejpam-5295	305	12	subsequent	subsequent	ADJ
ejpam-5295	305	13	lines	line	NOUN
ejpam-5295	305	14	in	in	ADP
ejpam-5295	305	15	a	a	DET
ejpam-5295	305	16	similar	similar	ADJ
ejpam-5295	305	17	manner	manner	NOUN
ejpam-5295	305	18	.	.	PUNCT
ejpam-5295	306	1	•	•	NUM
ejpam-5295	306	2	case	case	NOUN
ejpam-5295	306	3	2	2	X
ejpam-5295	306	4	.	.	PUNCT
ejpam-5295	307	1	i	i	PRON
ejpam-5295	307	2	=	=	NOUN
ejpam-5295	307	3	2	2	X
ejpam-5295	307	4	.	.	X
ejpam-5295	307	5	r(e(i	r(e(i	NOUN
ejpam-5295	307	6	,	,	PUNCT
ejpam-5295	307	7	m)|t	m)|t	X
ejpam-5295	307	8	)	)	PUNCT
ejpam-5295	308	1	=	=	PRON
ejpam-5295	308	2	{	{	PUNCT
ejpam-5295	308	3	(	(	PUNCT
ejpam-5295	308	4	i−	i−	PROPN
ejpam-5295	308	5	2	2	NUM
ejpam-5295	308	6	,	,	PUNCT
ejpam-5295	308	7	2n−	2n−	PROPN
ejpam-5295	308	8	2m+	2m+	NUM
ejpam-5295	308	9	2	2	NUM
ejpam-5295	308	10	,	,	PUNCT
ejpam-5295	308	11	4n−	4n−	PROPN
ejpam-5295	308	12	2	2	NUM
ejpam-5295	308	13	m	m	NOUN
ejpam-5295	308	14	)	)	PUNCT
ejpam-5295	308	15	for	for	ADP
ejpam-5295	308	16	i	i	PROPN
ejpam-5295	308	17	2	2	NUM
ejpam-5295	308	18	≥	≥	NOUN
ejpam-5295	308	19	m	m	VERB
ejpam-5295	308	20	(	(	PUNCT
ejpam-5295	308	21	2m−	2m−	PROPN
ejpam-5295	308	22	2	2	NUM
ejpam-5295	308	23	,	,	PUNCT
ejpam-5295	308	24	2n−	2n−	PROPN
ejpam-5295	308	25	2m+	2m+	NUM
ejpam-5295	308	26	2	2	NUM
ejpam-5295	308	27	,	,	PUNCT
ejpam-5295	308	28	4n−	4n−	PROPN
ejpam-5295	308	29	i	i	NOUN
ejpam-5295	308	30	)	)	PUNCT
ejpam-5295	308	31	for	for	ADP
ejpam-5295	308	32	i	i	PROPN
ejpam-5295	308	33	2	2	NUM
ejpam-5295	308	34	<	<	X
ejpam-5295	308	35	m	m	VERB
ejpam-5295	308	36	i	i	NOUN
ejpam-5295	308	37	=	=	NOUN
ejpam-5295	308	38	6	6	X
ejpam-5295	308	39	.	.	PUNCT
ejpam-5295	309	1	r(e(i	r(e(i	NOUN
ejpam-5295	309	2	,	,	PUNCT
ejpam-5295	309	3	m)|t	m)|t	X
ejpam-5295	309	4	)	)	PUNCT
ejpam-5295	310	1	=	=	SYM
ejpam-5295	310	2			PROPN
ejpam-5295	310	3	(	(	PUNCT
ejpam-5295	310	4	i−	i−	PROPN
ejpam-5295	310	5	2	2	NUM
ejpam-5295	310	6	,	,	PUNCT
ejpam-5295	310	7	2n−	2n−	PROPN
ejpam-5295	310	8	2m+	2m+	NUM
ejpam-5295	310	9	4	4	NUM
ejpam-5295	310	10	,	,	PUNCT
ejpam-5295	310	11	2aη(ξ	2aη(ξ	NUM
ejpam-5295	310	12	)	)	PUNCT
ejpam-5295	310	13	−	−	PROPN
ejpam-5295	311	1	2m−	2m−	PROPN
ejpam-5295	311	2	2	2	NUM
ejpam-5295	311	3	)	)	PUNCT
ejpam-5295	311	4	for	for	ADP
ejpam-5295	311	5	i+2	i+2	PROPN
ejpam-5295	311	6	2	2	NUM
ejpam-5295	311	7	≥	≥	NOUN
ejpam-5295	311	8	m	m	PROPN
ejpam-5295	311	9	(	(	PUNCT
ejpam-5295	311	10	2	2	NUM
ejpam-5295	311	11	m	m	NOUN
ejpam-5295	311	12	,	,	PUNCT
ejpam-5295	311	13	2n−	2n−	PROPN
ejpam-5295	311	14	2m+	2m+	NUM
ejpam-5295	311	15	4	4	NUM
ejpam-5295	311	16	,	,	PUNCT
ejpam-5295	311	17	2aη(ξ	2aη(ξ	NUM
ejpam-5295	311	18	)	)	PUNCT
ejpam-5295	311	19	−	−	PROPN
ejpam-5295	312	1	i	i	NOUN
ejpam-5295	312	2	)	)	PUNCT
ejpam-5295	312	3	for	for	ADP
ejpam-5295	312	4	i+2	i+2	X
ejpam-5295	312	5	2	2	NUM
ejpam-5295	312	6	<	<	X
ejpam-5295	312	7	m	m	PROPN
ejpam-5295	312	8	(	(	PUNCT
ejpam-5295	312	9	2	2	NUM
ejpam-5295	312	10	m	m	NOUN
ejpam-5295	312	11	,	,	PUNCT
ejpam-5295	312	12	i−	i−	PROPN
ejpam-5295	312	13	2	2	NUM
ejpam-5295	312	14	,	,	PUNCT
ejpam-5295	312	15	2aη(ξ	2aη(ξ	NUM
ejpam-5295	312	16	)	)	PUNCT
ejpam-5295	313	1	−	−	PROPN
ejpam-5295	314	1	i	i	PRON
ejpam-5295	314	2	)	)	PUNCT
ejpam-5295	314	3	fori+m	fori+m	VERB
ejpam-5295	314	4	≥	≥	NUM
ejpam-5295	314	5	2n	2n	NUM
ejpam-5295	315	1	i	i	NOUN
ejpam-5295	315	2	=	=	NOUN
ejpam-5295	315	3	10	10	NUM
ejpam-5295	315	4	.	.	PUNCT
ejpam-5295	316	1	r(e(i	r(e(i	NOUN
ejpam-5295	316	2	,	,	PUNCT
ejpam-5295	316	3	m)|t	m)|t	X
ejpam-5295	316	4	)	)	PUNCT
ejpam-5295	317	1	=	=	SYM
ejpam-5295	317	2			PROPN
ejpam-5295	317	3	(	(	PUNCT
ejpam-5295	317	4	i−	i−	PROPN
ejpam-5295	317	5	2	2	NUM
ejpam-5295	317	6	,	,	PUNCT
ejpam-5295	317	7	2n−	2n−	PROPN
ejpam-5295	317	8	2m+	2m+	NUM
ejpam-5295	317	9	6	6	NUM
ejpam-5295	317	10	,	,	PUNCT
ejpam-5295	317	11	2aη(ξ	2aη(ξ	NUM
ejpam-5295	317	12	)	)	PUNCT
ejpam-5295	317	13	−	−	PROPN
ejpam-5295	318	1	2m−	2m−	PROPN
ejpam-5295	318	2	4	4	NUM
ejpam-5295	318	3	)	)	PUNCT
ejpam-5295	318	4	for	for	ADP
ejpam-5295	318	5	i+2	i+2	PROPN
ejpam-5295	318	6	2	2	NUM
ejpam-5295	318	7	≥	≥	NOUN
ejpam-5295	318	8	m	m	VERB
ejpam-5295	318	9	(	(	PUNCT
ejpam-5295	318	10	2m+	2m+	NUM
ejpam-5295	318	11	2	2	NUM
ejpam-5295	318	12	,	,	PUNCT
ejpam-5295	318	13	2n−	2n−	PROPN
ejpam-5295	318	14	2m+	2m+	NUM
ejpam-5295	318	15	6	6	NUM
ejpam-5295	318	16	,	,	PUNCT
ejpam-5295	318	17	2aη(ξ	2aη(ξ	NUM
ejpam-5295	318	18	)	)	PUNCT
ejpam-5295	318	19	−	−	PROPN
ejpam-5295	319	1	i	i	NOUN
ejpam-5295	319	2	)	)	PUNCT
ejpam-5295	319	3	for	for	ADP
ejpam-5295	319	4	i+2	i+2	X
ejpam-5295	319	5	2	2	NUM
ejpam-5295	319	6	<	<	X
ejpam-5295	319	7	m	m	PROPN
ejpam-5295	319	8	(	(	PUNCT
ejpam-5295	319	9	2m+	2m+	NUM
ejpam-5295	319	10	2	2	NUM
ejpam-5295	319	11	,	,	PUNCT
ejpam-5295	319	12	i−	i−	PROPN
ejpam-5295	319	13	2	2	NUM
ejpam-5295	319	14	,	,	PUNCT
ejpam-5295	319	15	2aη(ξ	2aη(ξ	NUM
ejpam-5295	319	16	)	)	PUNCT
ejpam-5295	320	1	−	−	PROPN
ejpam-5295	321	1	i	i	NOUN
ejpam-5295	321	2	)	)	PUNCT
ejpam-5295	321	3	for	for	ADP
ejpam-5295	321	4	i+m	i+m	NUM
ejpam-5295	321	5	≥	≥	NOUN
ejpam-5295	321	6	2n+	2n+	NUM
ejpam-5295	321	7	3	3	NUM
ejpam-5295	321	8	u.	u.	PROPN
ejpam-5295	321	9	farooq	farooq	PROPN
ejpam-5295	321	10	et	et	PROPN
ejpam-5295	321	11	al	al	PROPN
ejpam-5295	321	12	.	.	PUNCT
ejpam-5295	321	13	/	/	SYM
ejpam-5295	321	14	eur	eur	PROPN
ejpam-5295	321	15	.	.	PUNCT
ejpam-5295	322	1	j.	j.	PROPN
ejpam-5295	322	2	pure	pure	PROPN
ejpam-5295	322	3	appl	appl	PROPN
ejpam-5295	322	4	.	.	PROPN
ejpam-5295	322	5	math	math	PROPN
ejpam-5295	322	6	,	,	PUNCT
ejpam-5295	322	7	17	17	NUM
ejpam-5295	322	8	(	(	PUNCT
ejpam-5295	322	9	3	3	NUM
ejpam-5295	322	10	)	)	PUNCT
ejpam-5295	322	11	(	(	PUNCT
ejpam-5295	322	12	2024	2024	NUM
ejpam-5295	322	13	)	)	PUNCT
ejpam-5295	322	14	,	,	PUNCT
ejpam-5295	322	15	2055	2055	NUM
ejpam-5295	322	16	-	-	SYM
ejpam-5295	322	17	2072	2072	NUM
ejpam-5295	322	18	2067	2067	NUM
ejpam-5295	322	19	i	i	NOUN
ejpam-5295	322	20	=	=	NOUN
ejpam-5295	322	21	14	14	NUM
ejpam-5295	322	22	.	.	PUNCT
ejpam-5295	323	1	r(e(i	r(e(i	PROPN
ejpam-5295	323	2	,	,	PUNCT
ejpam-5295	323	3	m)|t	m)|t	X
ejpam-5295	323	4	)	)	PUNCT
ejpam-5295	324	1	=	=	SYM
ejpam-5295	324	2			PROPN
ejpam-5295	324	3	(	(	PUNCT
ejpam-5295	324	4	i−	i−	PROPN
ejpam-5295	324	5	2	2	NUM
ejpam-5295	324	6	,	,	PUNCT
ejpam-5295	324	7	2n−m+	2n−m+	NUM
ejpam-5295	324	8	8	8	NUM
ejpam-5295	324	9	,	,	PUNCT
ejpam-5295	324	10	2aη(ξ	2aη(ξ	NUM
ejpam-5295	324	11	)	)	PUNCT
ejpam-5295	324	12	−	−	NOUN
ejpam-5295	324	13	2m+	2m+	NUM
ejpam-5295	324	14	6	6	NUM
ejpam-5295	324	15	)	)	PUNCT
ejpam-5295	324	16	for	for	ADP
ejpam-5295	324	17	i+2	i+2	PROPN
ejpam-5295	324	18	2	2	NUM
ejpam-5295	324	19	≥	≥	NOUN
ejpam-5295	324	20	m	m	PROPN
ejpam-5295	324	21	(	(	PUNCT
ejpam-5295	324	22	i−	i−	PROPN
ejpam-5295	324	23	2	2	NUM
ejpam-5295	324	24	,	,	PUNCT
ejpam-5295	324	25	2n−m+	2n−m+	NUM
ejpam-5295	324	26	8	8	NUM
ejpam-5295	324	27	,	,	PUNCT
ejpam-5295	324	28	2aη(ξ	2aη(ξ	NUM
ejpam-5295	324	29	)	)	PUNCT
ejpam-5295	324	30	−	−	PROPN
ejpam-5295	325	1	i	i	NOUN
ejpam-5295	325	2	)	)	PUNCT
ejpam-5295	325	3	for	for	ADP
ejpam-5295	325	4	i+2	i+2	X
ejpam-5295	325	5	2	2	NUM
ejpam-5295	325	6	<	<	X
ejpam-5295	325	7	m	m	PROPN
ejpam-5295	325	8	(	(	PUNCT
ejpam-5295	325	9	2m+	2m+	NUM
ejpam-5295	325	10	4	4	NUM
ejpam-5295	325	11	,	,	PUNCT
ejpam-5295	325	12	i−	i−	PROPN
ejpam-5295	325	13	2	2	NUM
ejpam-5295	325	14	,	,	PUNCT
ejpam-5295	325	15	2aη(ξ	2aη(ξ	NUM
ejpam-5295	325	16	)	)	PUNCT
ejpam-5295	326	1	−	−	PROPN
ejpam-5295	327	1	i	i	PRON
ejpam-5295	327	2	)	)	PUNCT
ejpam-5295	327	3	fori+m	fori+m	VERB
ejpam-5295	327	4	≥	≥	NUM
ejpam-5295	327	5	2n+	2n+	NUM
ejpam-5295	327	6	6	6	NUM
ejpam-5295	327	7	we	we	PRON
ejpam-5295	327	8	have	have	AUX
ejpam-5295	327	9	established	establish	VERB
ejpam-5295	327	10	the	the	DET
ejpam-5295	327	11	emd	emd	PROPN
ejpam-5295	327	12	for	for	ADP
ejpam-5295	327	13	lines	line	NOUN
ejpam-5295	327	14	2	2	NUM
ejpam-5295	327	15	,	,	PUNCT
ejpam-5295	327	16	6	6	NUM
ejpam-5295	327	17	,	,	PUNCT
ejpam-5295	327	18	10	10	NUM
ejpam-5295	327	19	,	,	PUNCT
ejpam-5295	327	20	and	and	CCONJ
ejpam-5295	327	21	14	14	NUM
ejpam-5295	327	22	.	.	PUNCT
ejpam-5295	328	1	we	we	PRON
ejpam-5295	328	2	will	will	AUX
ejpam-5295	328	3	continue	continue	VERB
ejpam-5295	328	4	this	this	DET
ejpam-5295	328	5	approach	approach	NOUN
ejpam-5295	328	6	to	to	PART
ejpam-5295	328	7	determine	determine	VERB
ejpam-5295	328	8	the	the	DET
ejpam-5295	328	9	emd	emd	PROPN
ejpam-5295	328	10	for	for	ADP
ejpam-5295	328	11	the	the	DET
ejpam-5295	328	12	subsequent	subsequent	ADJ
ejpam-5295	328	13	lines	line	NOUN
ejpam-5295	328	14	in	in	ADP
ejpam-5295	328	15	a	a	DET
ejpam-5295	328	16	similar	similar	ADJ
ejpam-5295	328	17	manner	manner	NOUN
ejpam-5295	328	18	.	.	PUNCT
ejpam-5295	329	1	•	•	NUM
ejpam-5295	329	2	case	case	NOUN
ejpam-5295	329	3	3	3	X
ejpam-5295	329	4	.	.	PUNCT
ejpam-5295	330	1	i	i	PRON
ejpam-5295	330	2	=	=	NOUN
ejpam-5295	330	3	3	3	X
ejpam-5295	330	4	.	.	X
ejpam-5295	330	5	r(e(i	r(e(i	PROPN
ejpam-5295	330	6	,	,	PUNCT
ejpam-5295	330	7	m)|t	m)|t	X
ejpam-5295	330	8	)	)	PUNCT
ejpam-5295	331	1	=	=	PRON
ejpam-5295	331	2	{	{	PUNCT
ejpam-5295	331	3	(	(	PUNCT
ejpam-5295	331	4	i+m−	i+m−	PROPN
ejpam-5295	331	5	3	3	NUM
ejpam-5295	331	6	,	,	PUNCT
ejpam-5295	331	7	2n−m+	2n−m+	NUM
ejpam-5295	331	8	1	1	NUM
ejpam-5295	331	9	,	,	PUNCT
ejpam-5295	331	10	2aη(ξ	2aη(ξ	NUM
ejpam-5295	331	11	)	)	PUNCT
ejpam-5295	331	12	−	−	PROPN
ejpam-5295	332	1	i	i	NOUN
ejpam-5295	332	2	)	)	PUNCT
ejpam-5295	332	3	for	for	ADP
ejpam-5295	332	4	all	all	PRON
ejpam-5295	332	5	i	i	PRON
ejpam-5295	332	6	=	=	NOUN
ejpam-5295	332	7	7	7	X
ejpam-5295	332	8	.	.	X
ejpam-5295	333	1	r(e(i	r(e(i	NOUN
ejpam-5295	333	2	,	,	PUNCT
ejpam-5295	333	3	m)|t	m)|t	X
ejpam-5295	333	4	)	)	PUNCT
ejpam-5295	334	1	=	=	SYM
ejpam-5295	334	2			PROPN
ejpam-5295	334	3	(	(	PUNCT
ejpam-5295	334	4	i−	i−	PROPN
ejpam-5295	334	5	2	2	NUM
ejpam-5295	334	6	,	,	PUNCT
ejpam-5295	334	7	2n−m+	2n−m+	NUM
ejpam-5295	334	8	3	3	NUM
ejpam-5295	334	9	,	,	PUNCT
ejpam-5295	334	10	2aη(ξ	2aη(ξ	NUM
ejpam-5295	334	11	)	)	PUNCT
ejpam-5295	334	12	−m−	−m−	NOUN
ejpam-5295	334	13	4	4	NUM
ejpam-5295	334	14	)	)	PUNCT
ejpam-5295	334	15	for	for	ADP
ejpam-5295	334	16	i−1	i−1	PROPN
ejpam-5295	334	17	2	2	NUM
ejpam-5295	334	18	≥	≥	NOUN
ejpam-5295	334	19	m	m	VERB
ejpam-5295	334	20	(	(	PUNCT
ejpam-5295	334	21	m+	m+	NOUN
ejpam-5295	334	22	2	2	NUM
ejpam-5295	334	23	,	,	PUNCT
ejpam-5295	334	24	2n−m+	2n−m+	NUM
ejpam-5295	334	25	3	3	NUM
ejpam-5295	334	26	,	,	PUNCT
ejpam-5295	334	27	2aη(ξ	2aη(ξ	NUM
ejpam-5295	334	28	)	)	PUNCT
ejpam-5295	334	29	−	−	PROPN
ejpam-5295	335	1	i	i	NOUN
ejpam-5295	335	2	)	)	PUNCT
ejpam-5295	335	3	for	for	ADP
ejpam-5295	335	4	i−1	i−1	PROPN
ejpam-5295	335	5	2	2	NUM
ejpam-5295	335	6	<	<	X
ejpam-5295	335	7	m	m	PROPN
ejpam-5295	335	8	(	(	PUNCT
ejpam-5295	335	9	m+	m+	NOUN
ejpam-5295	335	10	2	2	NUM
ejpam-5295	335	11	,	,	PUNCT
ejpam-5295	335	12	i−	i−	PROPN
ejpam-5295	335	13	2	2	NUM
ejpam-5295	335	14	,	,	PUNCT
ejpam-5295	335	15	2aη(ξ	2aη(ξ	NUM
ejpam-5295	335	16	)	)	PUNCT
ejpam-5295	335	17	−	−	PROPN
ejpam-5295	336	1	i	i	NOUN
ejpam-5295	336	2	)	)	PUNCT
ejpam-5295	336	3	for	for	ADP
ejpam-5295	336	4	i+m	i+m	NUM
ejpam-5295	336	5	≥	≥	NOUN
ejpam-5295	336	6	2n+	2n+	NUM
ejpam-5295	336	7	4	4	NUM
ejpam-5295	337	1	i	i	NOUN
ejpam-5295	337	2	=	=	NOUN
ejpam-5295	337	3	11	11	NUM
ejpam-5295	337	4	.	.	PUNCT
ejpam-5295	338	1	r(e(i	r(e(i	NOUN
ejpam-5295	338	2	,	,	PUNCT
ejpam-5295	338	3	m)|t	m)|t	X
ejpam-5295	338	4	)	)	PUNCT
ejpam-5295	339	1	=	=	SYM
ejpam-5295	339	2			PROPN
ejpam-5295	339	3	(	(	PUNCT
ejpam-5295	339	4	i−	i−	PROPN
ejpam-5295	339	5	2	2	NUM
ejpam-5295	339	6	,	,	PUNCT
ejpam-5295	339	7	2n−m+	2n−m+	NUM
ejpam-5295	339	8	5	5	NUM
ejpam-5295	339	9	,	,	PUNCT
ejpam-5295	339	10	2aη(ξ	2aη(ξ	NUM
ejpam-5295	339	11	)	)	PUNCT
ejpam-5295	339	12	−m−	−m−	ADV
ejpam-5295	339	13	6	6	NUM
ejpam-5295	339	14	)	)	PUNCT
ejpam-5295	339	15	for	for	ADP
ejpam-5295	339	16	i−1	i−1	PROPN
ejpam-5295	339	17	2	2	NUM
ejpam-5295	339	18	≥	≥	NOUN
ejpam-5295	339	19	m	m	VERB
ejpam-5295	339	20	(	(	PUNCT
ejpam-5295	339	21	m+	m+	NUM
ejpam-5295	339	22	4	4	NUM
ejpam-5295	339	23	,	,	PUNCT
ejpam-5295	339	24	2n−m+	2n−m+	NUM
ejpam-5295	339	25	5	5	NUM
ejpam-5295	339	26	,	,	PUNCT
ejpam-5295	339	27	2aη(ξ	2aη(ξ	NUM
ejpam-5295	339	28	)	)	PUNCT
ejpam-5295	339	29	−	−	PROPN
ejpam-5295	340	1	i	i	NOUN
ejpam-5295	340	2	)	)	PUNCT
ejpam-5295	340	3	for	for	ADP
ejpam-5295	340	4	i−1	i−1	PROPN
ejpam-5295	340	5	2	2	NUM
ejpam-5295	340	6	<	<	X
ejpam-5295	340	7	m	m	PROPN
ejpam-5295	340	8	(	(	PUNCT
ejpam-5295	340	9	m+	m+	NOUN
ejpam-5295	340	10	4	4	NUM
ejpam-5295	340	11	,	,	PUNCT
ejpam-5295	340	12	i−	i−	PROPN
ejpam-5295	340	13	2	2	NUM
ejpam-5295	340	14	,	,	PUNCT
ejpam-5295	340	15	2aη(ξ	2aη(ξ	NUM
ejpam-5295	340	16	)	)	PUNCT
ejpam-5295	340	17	−	−	PROPN
ejpam-5295	341	1	i	i	NOUN
ejpam-5295	341	2	)	)	PUNCT
ejpam-5295	341	3	for	for	ADP
ejpam-5295	341	4	i+m	i+m	NUM
ejpam-5295	341	5	≥	≥	NOUN
ejpam-5295	341	6	2n+	2n+	NUM
ejpam-5295	341	7	7	7	NUM
ejpam-5295	342	1	i	i	NOUN
ejpam-5295	342	2	=	=	NOUN
ejpam-5295	342	3	15	15	NUM
ejpam-5295	342	4	.	.	PUNCT
ejpam-5295	343	1	r(e(i	r(e(i	NOUN
ejpam-5295	343	2	,	,	PUNCT
ejpam-5295	343	3	m)|t	m)|t	X
ejpam-5295	343	4	)	)	PUNCT
ejpam-5295	344	1	=	=	SYM
ejpam-5295	344	2			PROPN
ejpam-5295	344	3	(	(	PUNCT
ejpam-5295	344	4	i−	i−	PROPN
ejpam-5295	344	5	2	2	NUM
ejpam-5295	344	6	,	,	PUNCT
ejpam-5295	344	7	2n−m+	2n−m+	NUM
ejpam-5295	344	8	7	7	NUM
ejpam-5295	344	9	,	,	PUNCT
ejpam-5295	344	10	2aη(ξ	2aη(ξ	NUM
ejpam-5295	344	11	)	)	PUNCT
ejpam-5295	344	12	−m−	−m−	NOUN
ejpam-5295	344	13	8)	8)	NUM
ejpam-5295	344	14	for	for	ADP
ejpam-5295	344	15	i−1	i−1	PROPN
ejpam-5295	344	16	2	2	NUM
ejpam-5295	344	17	≥	≥	NOUN
ejpam-5295	344	18	m	m	VERB
ejpam-5295	344	19	(	(	PUNCT
ejpam-5295	344	20	m+	m+	NUM
ejpam-5295	344	21	6	6	NUM
ejpam-5295	344	22	,	,	PUNCT
ejpam-5295	344	23	2n−m+	2n−m+	NUM
ejpam-5295	344	24	7	7	NUM
ejpam-5295	344	25	,	,	PUNCT
ejpam-5295	344	26	2aη(ξ	2aη(ξ	NUM
ejpam-5295	344	27	)	)	PUNCT
ejpam-5295	344	28	−	−	PROPN
ejpam-5295	345	1	i	i	NOUN
ejpam-5295	345	2	)	)	PUNCT
ejpam-5295	345	3	for	for	ADP
ejpam-5295	345	4	i−1	i−1	PROPN
ejpam-5295	345	5	2	2	NUM
ejpam-5295	345	6	<	<	X
ejpam-5295	345	7	m	m	PROPN
ejpam-5295	345	8	(	(	PUNCT
ejpam-5295	345	9	m+	m+	NUM
ejpam-5295	345	10	6	6	NUM
ejpam-5295	345	11	,	,	PUNCT
ejpam-5295	345	12	i−	i−	PROPN
ejpam-5295	345	13	2	2	NUM
ejpam-5295	345	14	,	,	PUNCT
ejpam-5295	345	15	2aη(ξ	2aη(ξ	NUM
ejpam-5295	345	16	)	)	PUNCT
ejpam-5295	345	17	−	−	PROPN
ejpam-5295	346	1	i	i	NOUN
ejpam-5295	346	2	)	)	PUNCT
ejpam-5295	346	3	for	for	ADP
ejpam-5295	346	4	i+m	i+m	NUM
ejpam-5295	346	5	≥	≥	NOUN
ejpam-5295	346	6	2n+	2n+	NUM
ejpam-5295	346	7	10	10	NUM
ejpam-5295	346	8	we	we	PRON
ejpam-5295	346	9	have	have	AUX
ejpam-5295	346	10	established	establish	VERB
ejpam-5295	346	11	the	the	DET
ejpam-5295	346	12	emd	emd	PROPN
ejpam-5295	346	13	for	for	ADP
ejpam-5295	346	14	lines	line	NOUN
ejpam-5295	346	15	2	2	NUM
ejpam-5295	346	16	,	,	PUNCT
ejpam-5295	346	17	6	6	NUM
ejpam-5295	346	18	,	,	PUNCT
ejpam-5295	346	19	10	10	NUM
ejpam-5295	346	20	,	,	PUNCT
ejpam-5295	346	21	and	and	CCONJ
ejpam-5295	346	22	14	14	NUM
ejpam-5295	346	23	.	.	PUNCT
ejpam-5295	347	1	we	we	PRON
ejpam-5295	347	2	will	will	AUX
ejpam-5295	347	3	continue	continue	VERB
ejpam-5295	347	4	this	this	DET
ejpam-5295	347	5	approach	approach	NOUN
ejpam-5295	347	6	to	to	PART
ejpam-5295	347	7	determine	determine	VERB
ejpam-5295	347	8	the	the	DET
ejpam-5295	347	9	emd	emd	PROPN
ejpam-5295	347	10	for	for	ADP
ejpam-5295	347	11	the	the	DET
ejpam-5295	347	12	subsequent	subsequent	ADJ
ejpam-5295	347	13	lines	line	NOUN
ejpam-5295	347	14	in	in	ADP
ejpam-5295	347	15	a	a	DET
ejpam-5295	347	16	similar	similar	ADJ
ejpam-5295	347	17	manner	manner	NOUN
ejpam-5295	347	18	.	.	PUNCT
ejpam-5295	348	1	•	•	NUM
ejpam-5295	348	2	case	case	NOUN
ejpam-5295	348	3	3	3	X
ejpam-5295	348	4	.	.	PUNCT
ejpam-5295	349	1	i	i	PRON
ejpam-5295	349	2	=	=	NOUN
ejpam-5295	349	3	4	4	X
ejpam-5295	349	4	.	.	X
ejpam-5295	350	1	r(e(i	r(e(i	NOUN
ejpam-5295	350	2	,	,	PUNCT
ejpam-5295	350	3	m)|t	m)|t	X
ejpam-5295	350	4	)	)	PUNCT
ejpam-5295	351	1	=	=	PRON
ejpam-5295	351	2	{	{	PUNCT
ejpam-5295	351	3	(	(	PUNCT
ejpam-5295	351	4	2	2	NUM
ejpam-5295	351	5	m	m	NOUN
ejpam-5295	351	6	,	,	PUNCT
ejpam-5295	351	7	2n−	2n−	PROPN
ejpam-5295	351	8	2m+	2m+	NUM
ejpam-5295	351	9	2	2	NUM
ejpam-5295	351	10	,	,	PUNCT
ejpam-5295	351	11	2aη(ξ	2aη(ξ	NUM
ejpam-5295	351	12	)	)	PUNCT
ejpam-5295	351	13	−	−	PROPN
ejpam-5295	352	1	i	i	NOUN
ejpam-5295	352	2	)	)	PUNCT
ejpam-5295	352	3	for	for	ADP
ejpam-5295	352	4	all	all	DET
ejpam-5295	352	5	i	i	PRON
ejpam-5295	352	6	=	=	NOUN
ejpam-5295	352	7	8	8	X
ejpam-5295	352	8	.	.	PUNCT
ejpam-5295	353	1	r(e(i	r(e(i	NOUN
ejpam-5295	353	2	,	,	PUNCT
ejpam-5295	353	3	m)|t	m)|t	X
ejpam-5295	353	4	)	)	PUNCT
ejpam-5295	354	1	=	=	SYM
ejpam-5295	354	2			PROPN
ejpam-5295	354	3	(	(	PUNCT
ejpam-5295	354	4	i−	i−	PROPN
ejpam-5295	354	5	2	2	NUM
ejpam-5295	354	6	,	,	PUNCT
ejpam-5295	354	7	2n−	2n−	PROPN
ejpam-5295	354	8	2m+	2m+	NUM
ejpam-5295	354	9	4	4	NUM
ejpam-5295	354	10	,	,	PUNCT
ejpam-5295	354	11	2aη(ξ	2aη(ξ	NUM
ejpam-5295	354	12	)	)	PUNCT
ejpam-5295	354	13	−m−	−m−	ADV
ejpam-5295	354	14	5	5	NUM
ejpam-5295	354	15	)	)	PUNCT
ejpam-5295	354	16	for	for	ADP
ejpam-5295	354	17	i	i	PROPN
ejpam-5295	354	18	4	4	NUM
ejpam-5295	354	19	≥	≥	NOUN
ejpam-5295	354	20	m	m	VERB
ejpam-5295	354	21	(	(	PUNCT
ejpam-5295	354	22	2m+	2m+	NUM
ejpam-5295	354	23	2	2	NUM
ejpam-5295	354	24	,	,	PUNCT
ejpam-5295	354	25	2n−	2n−	PROPN
ejpam-5295	354	26	2m+	2m+	NUM
ejpam-5295	354	27	4	4	NUM
ejpam-5295	354	28	,	,	PUNCT
ejpam-5295	354	29	2aη(ξ	2aη(ξ	NUM
ejpam-5295	354	30	)	)	PUNCT
ejpam-5295	354	31	−	−	PROPN
ejpam-5295	354	32	i	i	NOUN
ejpam-5295	354	33	)	)	PUNCT
ejpam-5295	354	34	for	for	ADP
ejpam-5295	354	35	i4	i4	PROPN
ejpam-5295	354	36	<	<	X
ejpam-5295	354	37	m	m	PROPN
ejpam-5295	354	38	(	(	PUNCT
ejpam-5295	354	39	2m+	2m+	NUM
ejpam-5295	354	40	2	2	NUM
ejpam-5295	354	41	,	,	PUNCT
ejpam-5295	354	42	i−	i−	PROPN
ejpam-5295	354	43	2	2	NUM
ejpam-5295	354	44	,	,	PUNCT
ejpam-5295	354	45	2aη(ξ	2aη(ξ	NUM
ejpam-5295	354	46	)	)	PUNCT
ejpam-5295	354	47	−	−	PROPN
ejpam-5295	355	1	i	i	NOUN
ejpam-5295	355	2	)	)	PUNCT
ejpam-5295	355	3	for	for	ADP
ejpam-5295	355	4	i+m	i+m	NUM
ejpam-5295	355	5	≥	≥	NOUN
ejpam-5295	355	6	2n+	2n+	NUM
ejpam-5295	355	7	1	1	NUM
ejpam-5295	355	8	u.	u.	PROPN
ejpam-5295	355	9	farooq	farooq	PROPN
ejpam-5295	355	10	et	et	PROPN
ejpam-5295	355	11	al	al	PROPN
ejpam-5295	355	12	.	.	PUNCT
ejpam-5295	355	13	/	/	SYM
ejpam-5295	355	14	eur	eur	PROPN
ejpam-5295	355	15	.	.	PUNCT
ejpam-5295	356	1	j.	j.	PROPN
ejpam-5295	356	2	pure	pure	PROPN
ejpam-5295	356	3	appl	appl	PROPN
ejpam-5295	356	4	.	.	PROPN
ejpam-5295	356	5	math	math	PROPN
ejpam-5295	356	6	,	,	PUNCT
ejpam-5295	356	7	17	17	NUM
ejpam-5295	356	8	(	(	PUNCT
ejpam-5295	356	9	3	3	NUM
ejpam-5295	356	10	)	)	PUNCT
ejpam-5295	356	11	(	(	PUNCT
ejpam-5295	356	12	2024	2024	NUM
ejpam-5295	356	13	)	)	PUNCT
ejpam-5295	356	14	,	,	PUNCT
ejpam-5295	356	15	2055	2055	NUM
ejpam-5295	356	16	-	-	SYM
ejpam-5295	356	17	2072	2072	NUM
ejpam-5295	356	18	2068	2068	NUM
ejpam-5295	357	1	i	i	NOUN
ejpam-5295	357	2	=	=	NOUN
ejpam-5295	357	3	12	12	NUM
ejpam-5295	357	4	.	.	PUNCT
ejpam-5295	358	1	r(e(i	r(e(i	NOUN
ejpam-5295	358	2	,	,	PUNCT
ejpam-5295	358	3	m)|t	m)|t	X
ejpam-5295	358	4	)	)	PUNCT
ejpam-5295	359	1	=	=	SYM
ejpam-5295	359	2			PROPN
ejpam-5295	359	3	(	(	PUNCT
ejpam-5295	359	4	i−	i−	PROPN
ejpam-5295	359	5	2	2	NUM
ejpam-5295	359	6	,	,	PUNCT
ejpam-5295	359	7	2n−	2n−	PROPN
ejpam-5295	359	8	2m+	2m+	NUM
ejpam-5295	359	9	6	6	NUM
ejpam-5295	359	10	,	,	PUNCT
ejpam-5295	359	11	2aη(ξ	2aη(ξ	NUM
ejpam-5295	359	12	)	)	PUNCT
ejpam-5295	359	13	−m+	−m+	X
ejpam-5295	359	14	7	7	NUM
ejpam-5295	359	15	)	)	PUNCT
ejpam-5295	359	16	for	for	ADP
ejpam-5295	359	17	i	i	PROPN
ejpam-5295	359	18	4	4	NUM
ejpam-5295	359	19	≥	≥	NOUN
ejpam-5295	359	20	m	m	VERB
ejpam-5295	359	21	(	(	PUNCT
ejpam-5295	359	22	2m+	2m+	NUM
ejpam-5295	359	23	4	4	NUM
ejpam-5295	359	24	,	,	PUNCT
ejpam-5295	359	25	2n−	2n−	PROPN
ejpam-5295	359	26	2m+	2m+	NUM
ejpam-5295	359	27	6	6	NUM
ejpam-5295	359	28	,	,	PUNCT
ejpam-5295	359	29	2aη(ξ	2aη(ξ	NUM
ejpam-5295	359	30	)	)	PUNCT
ejpam-5295	359	31	−	−	PROPN
ejpam-5295	360	1	i	i	NOUN
ejpam-5295	360	2	)	)	PUNCT
ejpam-5295	360	3	for	for	ADP
ejpam-5295	360	4	i	i	PROPN
ejpam-5295	360	5	4	4	NUM
ejpam-5295	360	6	<	<	X
ejpam-5295	360	7	m	m	PROPN
ejpam-5295	360	8	(	(	PUNCT
ejpam-5295	360	9	2m+	2m+	NUM
ejpam-5295	360	10	4	4	NUM
ejpam-5295	360	11	,	,	PUNCT
ejpam-5295	360	12	i−	i−	PROPN
ejpam-5295	360	13	2	2	NUM
ejpam-5295	360	14	,	,	PUNCT
ejpam-5295	360	15	2aη(ξ	2aη(ξ	NUM
ejpam-5295	360	16	)	)	PUNCT
ejpam-5295	360	17	−	−	PROPN
ejpam-5295	361	1	i	i	NOUN
ejpam-5295	361	2	)	)	PUNCT
ejpam-5295	361	3	for	for	ADP
ejpam-5295	361	4	i+m	i+m	NUM
ejpam-5295	361	5	≥	≥	NOUN
ejpam-5295	361	6	2n+	2n+	NUM
ejpam-5295	361	7	4	4	NUM
ejpam-5295	362	1	i	i	NOUN
ejpam-5295	362	2	=	=	NOUN
ejpam-5295	362	3	16	16	NUM
ejpam-5295	362	4	.	.	PUNCT
ejpam-5295	363	1	r(e(i	r(e(i	PROPN
ejpam-5295	363	2	,	,	PUNCT
ejpam-5295	363	3	m)|t	m)|t	X
ejpam-5295	363	4	)	)	PUNCT
ejpam-5295	364	1	=	=	SYM
ejpam-5295	364	2			PROPN
ejpam-5295	364	3	(	(	PUNCT
ejpam-5295	364	4	i−	i−	PROPN
ejpam-5295	364	5	2	2	NUM
ejpam-5295	364	6	,	,	PUNCT
ejpam-5295	364	7	2n−	2n−	PROPN
ejpam-5295	364	8	2m+	2m+	NUM
ejpam-5295	364	9	8	8	NUM
ejpam-5295	364	10	,	,	PUNCT
ejpam-5295	364	11	2aη(ξ	2aη(ξ	NUM
ejpam-5295	364	12	)	)	PUNCT
ejpam-5295	364	13	−m−	−m−	NOUN
ejpam-5295	364	14	9	9	NUM
ejpam-5295	364	15	)	)	PUNCT
ejpam-5295	364	16	for	for	ADP
ejpam-5295	364	17	all	all	PRON
ejpam-5295	364	18	i	i	PRON
ejpam-5295	364	19	4	4	NUM
ejpam-5295	364	20	≥	≥	NOUN
ejpam-5295	364	21	m	m	VERB
ejpam-5295	364	22	(	(	PUNCT
ejpam-5295	364	23	2m+	2m+	NUM
ejpam-5295	364	24	6	6	NUM
ejpam-5295	364	25	,	,	PUNCT
ejpam-5295	364	26	2n−	2n−	PROPN
ejpam-5295	364	27	2m+	2m+	NUM
ejpam-5295	364	28	8	8	NUM
ejpam-5295	364	29	,	,	PUNCT
ejpam-5295	364	30	2aη(ξ	2aη(ξ	NUM
ejpam-5295	364	31	)	)	PUNCT
ejpam-5295	364	32	−	−	PROPN
ejpam-5295	365	1	i	i	NOUN
ejpam-5295	365	2	)	)	PUNCT
ejpam-5295	365	3	for	for	ADP
ejpam-5295	365	4	all	all	DET
ejpam-5295	365	5	i	i	PRON
ejpam-5295	365	6	4	4	NUM
ejpam-5295	365	7	<	<	X
ejpam-5295	365	8	m	m	PROPN
ejpam-5295	365	9	(	(	PUNCT
ejpam-5295	365	10	2m+	2m+	NUM
ejpam-5295	365	11	6	6	NUM
ejpam-5295	365	12	,	,	PUNCT
ejpam-5295	365	13	i−	i−	PROPN
ejpam-5295	365	14	2	2	NUM
ejpam-5295	365	15	,	,	PUNCT
ejpam-5295	365	16	2aη(ξ	2aη(ξ	NUM
ejpam-5295	365	17	)	)	PUNCT
ejpam-5295	365	18	−	−	PROPN
ejpam-5295	366	1	i	i	NOUN
ejpam-5295	366	2	)	)	PUNCT
ejpam-5295	366	3	for	for	ADP
ejpam-5295	366	4	all	all	PRON
ejpam-5295	366	5	i+m	i+m	NUM
ejpam-5295	366	6	≥	≥	NOUN
ejpam-5295	366	7	2n+	2n+	NUM
ejpam-5295	366	8	7	7	NUM
ejpam-5295	366	9	we	we	PRON
ejpam-5295	366	10	have	have	AUX
ejpam-5295	366	11	established	establish	VERB
ejpam-5295	366	12	the	the	DET
ejpam-5295	366	13	emd	emd	PROPN
ejpam-5295	366	14	for	for	ADP
ejpam-5295	366	15	lines	line	NOUN
ejpam-5295	366	16	4	4	NUM
ejpam-5295	366	17	,	,	PUNCT
ejpam-5295	366	18	8	8	NUM
ejpam-5295	366	19	,	,	PUNCT
ejpam-5295	366	20	12	12	NUM
ejpam-5295	366	21	,	,	PUNCT
ejpam-5295	366	22	and	and	CCONJ
ejpam-5295	366	23	16	16	NUM
ejpam-5295	366	24	.	.	PUNCT
ejpam-5295	367	1	we	we	PRON
ejpam-5295	367	2	will	will	AUX
ejpam-5295	367	3	continue	continue	VERB
ejpam-5295	367	4	this	this	DET
ejpam-5295	367	5	approach	approach	NOUN
ejpam-5295	367	6	to	to	PART
ejpam-5295	367	7	determine	determine	VERB
ejpam-5295	367	8	the	the	DET
ejpam-5295	367	9	emd	emd	PROPN
ejpam-5295	367	10	for	for	ADP
ejpam-5295	367	11	the	the	DET
ejpam-5295	367	12	subsequent	subsequent	ADJ
ejpam-5295	367	13	lines	line	NOUN
ejpam-5295	367	14	in	in	ADP
ejpam-5295	367	15	a	a	DET
ejpam-5295	367	16	similar	similar	ADJ
ejpam-5295	367	17	manner	manner	NOUN
ejpam-5295	367	18	.	.	PUNCT
ejpam-5295	368	1	the	the	DET
ejpam-5295	368	2	emd	emd	PROPN
ejpam-5295	368	3	of	of	ADP
ejpam-5295	368	4	a	a	DET
ejpam-5295	368	5	carbon	carbon	NOUN
ejpam-5295	368	6	nanotube	nanotube	NOUN
ejpam-5295	368	7	has	have	AUX
ejpam-5295	368	8	been	be	AUX
ejpam-5295	368	9	identified	identify	VERB
ejpam-5295	368	10	as	as	ADP
ejpam-5295	368	11	3	3	NUM
ejpam-5295	368	12	,	,	PUNCT
ejpam-5295	368	13	indicating	indicate	VERB
ejpam-5295	368	14	that	that	SCONJ
ejpam-5295	368	15	a	a	DET
ejpam-5295	368	16	minimum	minimum	NOUN
ejpam-5295	368	17	set	set	NOUN
ejpam-5295	368	18	of	of	ADP
ejpam-5295	368	19	three	three	NUM
ejpam-5295	368	20	edges	edge	NOUN
ejpam-5295	368	21	is	be	AUX
ejpam-5295	368	22	required	require	VERB
ejpam-5295	368	23	to	to	PART
ejpam-5295	368	24	uniquely	uniquely	ADV
ejpam-5295	368	25	determine	determine	VERB
ejpam-5295	368	26	the	the	DET
ejpam-5295	368	27	location	location	NOUN
ejpam-5295	368	28	of	of	ADP
ejpam-5295	368	29	any	any	DET
ejpam-5295	368	30	other	other	ADJ
ejpam-5295	368	31	edge	edge	NOUN
ejpam-5295	368	32	within	within	ADP
ejpam-5295	368	33	the	the	DET
ejpam-5295	368	34	nanotube	nanotube	ADJ
ejpam-5295	368	35	structure	structure	NOUN
ejpam-5295	368	36	.	.	PUNCT
ejpam-5295	369	1	this	this	DET
ejpam-5295	369	2	finding	finding	NOUN
ejpam-5295	369	3	underscores	underscore	VERB
ejpam-5295	369	4	the	the	DET
ejpam-5295	369	5	complexity	complexity	NOUN
ejpam-5295	369	6	of	of	ADP
ejpam-5295	369	7	the	the	DET
ejpam-5295	369	8	nanotube	nanotube	NOUN
ejpam-5295	369	9	’s	’s	PART
ejpam-5295	369	10	connectivity	connectivity	NOUN
ejpam-5295	369	11	and	and	CCONJ
ejpam-5295	369	12	highlights	highlight	NOUN
ejpam-5295	369	13	the	the	DET
ejpam-5295	369	14	need	need	NOUN
ejpam-5295	369	15	for	for	SCONJ
ejpam-5295	369	16	a	a	DET
ejpam-5295	369	17	minimal	minimal	ADJ
ejpam-5295	369	18	number	number	NOUN
ejpam-5295	369	19	of	of	ADP
ejpam-5295	369	20	edge	edge	NOUN
ejpam-5295	369	21	-	-	PUNCT
ejpam-5295	369	22	based	base	VERB
ejpam-5295	369	23	references	reference	NOUN
ejpam-5295	369	24	to	to	PART
ejpam-5295	369	25	fully	fully	ADV
ejpam-5295	369	26	characterize	characterize	VERB
ejpam-5295	369	27	demonstrating	demonstrate	VERB
ejpam-5295	369	28	its	its	PRON
ejpam-5295	369	29	significance	significance	NOUN
ejpam-5295	369	30	in	in	ADP
ejpam-5295	369	31	various	various	ADJ
ejpam-5295	369	32	computational	computational	ADJ
ejpam-5295	369	33	and	and	CCONJ
ejpam-5295	369	34	graph	graph	NOUN
ejpam-5295	369	35	-	-	PUNCT
ejpam-5295	369	36	theoretical	theoretical	ADJ
ejpam-5295	369	37	applications	application	NOUN
ejpam-5295	369	38	.	.	PUNCT
ejpam-5295	370	1	theorem	theorem	VERB
ejpam-5295	370	2	3.2	3.2	NUM
ejpam-5295	370	3	.	.	PUNCT
ejpam-5295	371	1	for	for	ADP
ejpam-5295	371	2	the	the	DET
ejpam-5295	371	3	p	p	X
ejpam-5295	371	4	×	×	PROPN
ejpam-5295	371	5	l	l	NOUN
ejpam-5295	371	6	,	,	PUNCT
ejpam-5295	371	7	2	2	NUM
ejpam-5295	371	8	-	-	SYM
ejpam-5295	371	9	d	d	PROPN
ejpam-5295	371	10	lattice	lattice	NOUN
ejpam-5295	371	11	h	h	NOUN
ejpam-5295	371	12	−	−	NOUN
ejpam-5295	371	13	bn	bn	NOUN
ejpam-5295	371	14	graph	graph	NOUN
ejpam-5295	371	15	,	,	PUNCT
ejpam-5295	371	16	the	the	DET
ejpam-5295	371	17	emd	emd	PROPN
ejpam-5295	371	18	of	of	ADP
ejpam-5295	371	19	the	the	DET
ejpam-5295	371	20	carbon	carbon	NOUN
ejpam-5295	371	21	nanotube	nanotube	NOUN
ejpam-5295	371	22	is	be	AUX
ejpam-5295	371	23	not	not	PART
ejpam-5295	371	24	less	less	ADJ
ejpam-5295	371	25	than	than	ADP
ejpam-5295	371	26	3	3	NUM
ejpam-5295	371	27	.	.	PUNCT
ejpam-5295	372	1	proof	proof	NOUN
ejpam-5295	372	2	.	.	PUNCT
ejpam-5295	373	1	the	the	DET
ejpam-5295	373	2	emd	emd	PROPN
ejpam-5295	373	3	of	of	ADP
ejpam-5295	373	4	the	the	DET
ejpam-5295	373	5	carbon	carbon	NOUN
ejpam-5295	373	6	nanotube	nanotube	NOUN
ejpam-5295	373	7	in	in	ADP
ejpam-5295	373	8	the	the	DET
ejpam-5295	373	9	p×	p×	PROPN
ejpam-5295	373	10	l	l	NOUN
ejpam-5295	373	11	,	,	PUNCT
ejpam-5295	373	12	2	2	NUM
ejpam-5295	373	13	-	-	SYM
ejpam-5295	373	14	d	d	NUM
ejpam-5295	373	15	lattice	lattice	PROPN
ejpam-5295	373	16	h	h	PROPN
ejpam-5295	373	17	-	-	PUNCT
ejpam-5295	373	18	bn	bn	NOUN
ejpam-5295	373	19	graph	graph	NOUN
ejpam-5295	373	20	is	be	AUX
ejpam-5295	373	21	proven	prove	VERB
ejpam-5295	373	22	to	to	PART
ejpam-5295	373	23	be	be	AUX
ejpam-5295	373	24	not	not	PART
ejpam-5295	373	25	less	less	ADJ
ejpam-5295	373	26	than	than	ADP
ejpam-5295	373	27	3	3	NUM
ejpam-5295	373	28	.	.	PUNCT
ejpam-5295	373	29	”	"	PUNCT
ejpam-5295	374	1	i	i	PRON
ejpam-5295	374	2	begin	begin	VERB
ejpam-5295	374	3	by	by	ADP
ejpam-5295	374	4	assuming	assume	VERB
ejpam-5295	374	5	a	a	DET
ejpam-5295	374	6	resolving	resolving	NOUN
ejpam-5295	374	7	set	set	VERB
ejpam-5295	374	8	with	with	ADP
ejpam-5295	374	9	a	a	DET
ejpam-5295	374	10	cardinality	cardinality	NOUN
ejpam-5295	374	11	of	of	ADP
ejpam-5295	374	12	2	2	NUM
ejpam-5295	374	13	,	,	PUNCT
ejpam-5295	374	14	then	then	ADV
ejpam-5295	374	15	systematically	systematically	ADV
ejpam-5295	374	16	present	present	ADJ
ejpam-5295	374	17	contradictions	contradiction	NOUN
ejpam-5295	374	18	.	.	PUNCT
ejpam-5295	375	1	subsequently	subsequently	ADV
ejpam-5295	375	2	,	,	PUNCT
ejpam-5295	375	3	i	i	PRON
ejpam-5295	375	4	will	will	AUX
ejpam-5295	375	5	establish	establish	VERB
ejpam-5295	375	6	that	that	SCONJ
ejpam-5295	375	7	the	the	DET
ejpam-5295	375	8	emd	emd	PROPN
ejpam-5295	375	9	can	can	AUX
ejpam-5295	375	10	not	not	PART
ejpam-5295	375	11	be	be	AUX
ejpam-5295	375	12	2	2	NUM
ejpam-5295	375	13	,	,	PUNCT
ejpam-5295	375	14	thereby	thereby	ADV
ejpam-5295	375	15	concluding	conclude	VERB
ejpam-5295	375	16	that	that	SCONJ
ejpam-5295	375	17	the	the	DET
ejpam-5295	375	18	emd	emd	PROPN
ejpam-5295	375	19	of	of	ADP
ejpam-5295	375	20	the	the	DET
ejpam-5295	375	21	carbon	carbon	NOUN
ejpam-5295	375	22	nanotube	nanotube	NOUN
ejpam-5295	375	23	is	be	AUX
ejpam-5295	375	24	3	3	NUM
ejpam-5295	375	25	.	.	PUNCT
ejpam-5295	375	26	a	a	DET
ejpam-5295	375	27	graph	graph	NOUN
ejpam-5295	375	28	g	g	NOUN
ejpam-5295	375	29	has	have	VERB
ejpam-5295	375	30	its	its	PRON
ejpam-5295	375	31	edges	edge	NOUN
ejpam-5295	375	32	divided	divide	VERB
ejpam-5295	375	33	into	into	ADP
ejpam-5295	375	34	discrete	discrete	ADJ
ejpam-5295	375	35	partitions	partition	NOUN
ejpam-5295	375	36	in	in	ADP
ejpam-5295	375	37	the	the	DET
ejpam-5295	375	38	following	following	ADJ
ejpam-5295	375	39	way	way	NOUN
ejpam-5295	375	40	:	:	PUNCT
ejpam-5295	375	41	{	{	PUNCT
ejpam-5295	375	42	e(1,1	e(1,1	NOUN
ejpam-5295	375	43	)	)	PUNCT
ejpam-5295	375	44	,	,	PUNCT
ejpam-5295	375	45	e(1,2	e(1,2	PROPN
ejpam-5295	375	46	)	)	PUNCT
ejpam-5295	375	47	,	,	PUNCT
ejpam-5295	375	48	e(1,3	e(1,3	PROPN
ejpam-5295	375	49	)	)	PUNCT
ejpam-5295	375	50	,	,	PUNCT
ejpam-5295	375	51	.	.	PUNCT
ejpam-5295	375	52	.	.	PUNCT
ejpam-5295	376	1	.	.	PUNCT
ejpam-5295	377	1	,	,	PUNCT
ejpam-5295	377	2	e(1,m	e(1,m	NOUN
ejpam-5295	377	3	)	)	PUNCT
ejpam-5295	377	4	,	,	PUNCT
ejpam-5295	377	5	e(2,1	e(2,1	NOUN
ejpam-5295	377	6	)	)	PUNCT
ejpam-5295	377	7	,	,	PUNCT
ejpam-5295	377	8	e(2,2	e(2,2	NOUN
ejpam-5295	377	9	)	)	PUNCT
ejpam-5295	377	10	,	,	PUNCT
ejpam-5295	377	11	e(2,3	e(2,3	NOUN
ejpam-5295	377	12	)	)	PUNCT
ejpam-5295	377	13	,	,	PUNCT
ejpam-5295	377	14	.	.	PUNCT
ejpam-5295	377	15	.	.	PUNCT
ejpam-5295	378	1	.	.	PUNCT
ejpam-5295	379	1	,	,	PUNCT
ejpam-5295	379	2	e(2,m	e(2,m	NOUN
ejpam-5295	379	3	)	)	PUNCT
ejpam-5295	379	4	,	,	PUNCT
ejpam-5295	379	5	e(3,1	e(3,1	PROPN
ejpam-5295	379	6	)	)	PUNCT
ejpam-5295	379	7	,	,	PUNCT
ejpam-5295	379	8	e(3,2	e(3,2	NOUN
ejpam-5295	379	9	)	)	PUNCT
ejpam-5295	379	10	,	,	PUNCT
ejpam-5295	379	11	e(3,3	e(3,3	PROPN
ejpam-5295	379	12	)	)	PUNCT
ejpam-5295	379	13	,	,	PUNCT
ejpam-5295	379	14	.	.	PUNCT
ejpam-5295	379	15	.	.	PUNCT
ejpam-5295	380	1	.	.	PUNCT
ejpam-5295	381	1	,	,	PUNCT
ejpam-5295	381	2	e(3,1	e(3,1	PROPN
ejpam-5295	381	3	)	)	PUNCT
ejpam-5295	381	4	,	,	PUNCT
ejpam-5295	381	5	.	.	PUNCT
ejpam-5295	381	6	.	.	PUNCT
ejpam-5295	382	1	.	.	PUNCT
ejpam-5295	383	1	,	,	PUNCT
ejpam-5295	383	2	e(i,1	e(i,1	PROPN
ejpam-5295	383	3	)	)	PUNCT
ejpam-5295	383	4	,	,	PUNCT
ejpam-5295	383	5	e(i,2	e(i,2	PROPN
ejpam-5295	383	6	)	)	PUNCT
ejpam-5295	383	7	,	,	PUNCT
ejpam-5295	383	8	e(i,3	e(i,3	PROPN
ejpam-5295	383	9	)	)	PUNCT
ejpam-5295	383	10	,	,	PUNCT
ejpam-5295	383	11	.	.	PUNCT
ejpam-5295	383	12	.	.	PUNCT
ejpam-5295	384	1	.	.	PUNCT
ejpam-5295	385	1	,	,	PUNCT
ejpam-5295	385	2	e(i	e(i	PROPN
ejpam-5295	385	3	,	,	PUNCT
ejpam-5295	385	4	m	m	NOUN
ejpam-5295	385	5	)	)	PUNCT
ejpam-5295	385	6	}	}	PUNCT
ejpam-5295	385	7	consider	consider	VERB
ejpam-5295	385	8	s	s	PRON
ejpam-5295	385	9	=	=	X
ejpam-5295	385	10	{	{	PUNCT
ejpam-5295	385	11	e(1,1	e(1,1	NOUN
ejpam-5295	385	12	)	)	PUNCT
ejpam-5295	385	13	,	,	PUNCT
ejpam-5295	385	14	e(1,2n	e(1,2n	NOUN
ejpam-5295	385	15	)	)	PUNCT
ejpam-5295	385	16	}	}	PUNCT
ejpam-5295	385	17	here	here	ADV
ejpam-5295	385	18	,	,	PUNCT
ejpam-5295	385	19	we	we	PRON
ejpam-5295	385	20	proceed	proceed	VERB
ejpam-5295	385	21	under	under	ADP
ejpam-5295	385	22	the	the	DET
ejpam-5295	385	23	assumption	assumption	NOUN
ejpam-5295	385	24	that	that	SCONJ
ejpam-5295	385	25	s	s	VERB
ejpam-5295	385	26	is	be	AUX
ejpam-5295	385	27	the	the	DET
ejpam-5295	385	28	resolving	resolving	NOUN
ejpam-5295	385	29	set	set	NOUN
ejpam-5295	385	30	,	,	PUNCT
ejpam-5295	385	31	assuming	assume	VERB
ejpam-5295	385	32	an	an	DET
ejpam-5295	385	33	emd	emd	PROPN
ejpam-5295	385	34	of	of	ADP
ejpam-5295	385	35	2	2	NUM
ejpam-5295	385	36	.	.	PUNCT
ejpam-5295	386	1	our	our	PRON
ejpam-5295	386	2	aim	aim	NOUN
ejpam-5295	386	3	is	be	AUX
ejpam-5295	386	4	to	to	PART
ejpam-5295	386	5	demonstrate	demonstrate	VERB
ejpam-5295	386	6	contradictions	contradiction	NOUN
ejpam-5295	386	7	.	.	PUNCT
ejpam-5295	387	1	u.	u.	PROPN
ejpam-5295	387	2	farooq	farooq	PROPN
ejpam-5295	387	3	et	et	PROPN
ejpam-5295	387	4	al	al	PROPN
ejpam-5295	387	5	.	.	PUNCT
ejpam-5295	387	6	/	/	SYM
ejpam-5295	387	7	eur	eur	PROPN
ejpam-5295	387	8	.	.	PUNCT
ejpam-5295	388	1	j.	j.	PROPN
ejpam-5295	388	2	pure	pure	PROPN
ejpam-5295	388	3	appl	appl	PROPN
ejpam-5295	388	4	.	.	PROPN
ejpam-5295	388	5	math	math	PROPN
ejpam-5295	388	6	,	,	PUNCT
ejpam-5295	388	7	17	17	NUM
ejpam-5295	388	8	(	(	PUNCT
ejpam-5295	388	9	3	3	NUM
ejpam-5295	388	10	)	)	PUNCT
ejpam-5295	388	11	(	(	PUNCT
ejpam-5295	388	12	2024	2024	NUM
ejpam-5295	388	13	)	)	PUNCT
ejpam-5295	388	14	,	,	PUNCT
ejpam-5295	388	15	2055	2055	NUM
ejpam-5295	388	16	-	-	SYM
ejpam-5295	388	17	2072	2072	NUM
ejpam-5295	388	18	2069	2069	NUM
ejpam-5295	388	19	case	case	NOUN
ejpam-5295	388	20	vertices	vertice	VERB
ejpam-5295	388	21	n	n	X
ejpam-5295	388	22	=	=	SYM
ejpam-5295	388	23	2	2	NUM
ejpam-5295	388	24	r(e(8,1)|t	r(e(8,1)|t	PROPN
ejpam-5295	388	25	)	)	PUNCT
ejpam-5295	388	26	=	=	SYM
ejpam-5295	388	27	r(e(8,2)|t	r(e(8,2)|t	NOUN
ejpam-5295	388	28	)	)	PUNCT
ejpam-5295	388	29	n	n	NOUN
ejpam-5295	388	30	=	=	SYM
ejpam-5295	388	31	3	3	NUM
ejpam-5295	388	32	r(e(10,2)|t	r(e(10,2)|t	NOUN
ejpam-5295	388	33	)	)	PUNCT
ejpam-5295	389	1	=	=	SYM
ejpam-5295	389	2	r(e(10,3)|t	r(e(10,3)|t	PROPN
ejpam-5295	389	3	)	)	PUNCT
ejpam-5295	389	4	r(e(9,4)|t	r(e(9,4)|t	PROPN
ejpam-5295	389	5	)	)	PUNCT
ejpam-5295	389	6	=	=	PUNCT
ejpam-5295	389	7	r(e(9,3)|t	r(e(9,3)|t	X
ejpam-5295	389	8	)	)	PUNCT
ejpam-5295	389	9	r(e(12,2)|t	r(e(12,2)|t	NOUN
ejpam-5295	389	10	)	)	PUNCT
ejpam-5295	390	1	=	=	SYM
ejpam-5295	390	2	r(e(12,4)|t	r(e(12,4)|t	PROPN
ejpam-5295	390	3	)	)	PUNCT
ejpam-5295	390	4	=	=	SYM
ejpam-5295	390	5	r(e(12,6)|t	r(e(12,6)|t	NOUN
ejpam-5295	390	6	)	)	PUNCT
ejpam-5295	390	7	r(e(11,1)|t	r(e(11,1)|t	PROPN
ejpam-5295	390	8	)	)	PUNCT
ejpam-5295	390	9	=	=	X
ejpam-5295	390	10	r(e(11,2)|t	r(e(11,2)|t	NOUN
ejpam-5295	390	11	)	)	PUNCT
ejpam-5295	391	1	=	=	SYM
ejpam-5295	391	2	r(e(11,3)|t	r(e(11,3)|t	NOUN
ejpam-5295	391	3	)	)	PUNCT
ejpam-5295	391	4	=	=	SYM
ejpam-5295	391	5	r(e(11,4)|t	r(e(11,4)|t	NOUN
ejpam-5295	391	6	)	)	PUNCT
ejpam-5295	391	7	=	=	SYM
ejpam-5295	391	8	r(e(11,5)|t	r(e(11,5)|t	NOUN
ejpam-5295	391	9	)	)	PUNCT
ejpam-5295	392	1	n	n	NOUN
ejpam-5295	392	2	=	=	SYM
ejpam-5295	392	3	4	4	NUM
ejpam-5295	392	4	r(e(11,4)|t	r(e(11,4)|t	NOUN
ejpam-5295	392	5	)	)	PUNCT
ejpam-5295	392	6	=	=	SYM
ejpam-5295	392	7	r(e(11,5)|t	r(e(11,5)|t	PROPN
ejpam-5295	392	8	)	)	PUNCT
ejpam-5295	392	9	r(e(12,2)|t	r(e(12,2)|t	NOUN
ejpam-5295	392	10	)	)	PUNCT
ejpam-5295	392	11	=	=	SYM
ejpam-5295	392	12	r(e(12,3)|t	r(e(12,3)|t	PROPN
ejpam-5295	392	13	)	)	PUNCT
ejpam-5295	392	14	r(e(13,1)|t	r(e(13,1)|t	PROPN
ejpam-5295	392	15	)	)	PUNCT
ejpam-5295	393	1	=	=	SYM
ejpam-5295	393	2	r(e(13,2)|t	r(e(13,2)|t	NOUN
ejpam-5295	393	3	)	)	PUNCT
ejpam-5295	394	1	=	=	PUNCT
ejpam-5295	394	2	r(e(13,4)|t	r(e(13,4)|t	PROPN
ejpam-5295	394	3	)	)	PUNCT
ejpam-5295	394	4	=	=	SYM
ejpam-5295	394	5	r(e(13,5)|t	r(e(13,5)|t	NOUN
ejpam-5295	394	6	)	)	PUNCT
ejpam-5295	395	1	=	=	SYM
ejpam-5295	395	2	r(e(13,6)|t	r(e(13,6)|t	PROPN
ejpam-5295	395	3	)	)	PUNCT
ejpam-5295	396	1	=	=	SYM
ejpam-5295	396	2	r(e(13,7)|t	r(e(13,7)|t	PROPN
ejpam-5295	396	3	)	)	PUNCT
ejpam-5295	396	4	r(e(14,2)|t	r(e(14,2)|t	NOUN
ejpam-5295	396	5	)	)	PUNCT
ejpam-5295	396	6	=	=	SYM
ejpam-5295	396	7	r(e(14,3)|t	r(e(14,3)|t	NOUN
ejpam-5295	396	8	)	)	PUNCT
ejpam-5295	397	1	=	=	SYM
ejpam-5295	397	2	r(e(14,4)|t	r(e(14,4)|t	NOUN
ejpam-5295	397	3	)	)	PUNCT
ejpam-5295	397	4	r(e(16,1)|t	r(e(16,1)|t	NOUN
ejpam-5295	397	5	)	)	PUNCT
ejpam-5295	397	6	=	=	SYM
ejpam-5295	397	7	r(e(16,2)|t	r(e(16,2)|t	NOUN
ejpam-5295	397	8	)	)	PUNCT
ejpam-5295	397	9	=	=	SYM
ejpam-5295	397	10	r(e(16,3)|t	r(e(16,3)|t	NOUN
ejpam-5295	397	11	)	)	PUNCT
ejpam-5295	398	1	=	=	SYM
ejpam-5295	398	2	r(e(16,4)|t	r(e(16,4)|t	NOUN
ejpam-5295	398	3	)	)	PUNCT
ejpam-5295	398	4	r(e(17,1)|t	r(e(17,1)|t	NOUN
ejpam-5295	398	5	)	)	PUNCT
ejpam-5295	399	1	=	=	PRON
ejpam-5295	399	2	r(e(17,2)|t	r(e(17,2)|t	NOUN
ejpam-5295	399	3	)	)	PUNCT
ejpam-5295	399	4	=	=	SYM
ejpam-5295	399	5	r(e(17,3)|t	r(e(17,3)|t	NOUN
ejpam-5295	399	6	)	)	PUNCT
ejpam-5295	399	7	=	=	PUNCT
ejpam-5295	399	8	r(e(17,4)|t	r(e(17,4)|t	NOUN
ejpam-5295	399	9	)	)	PUNCT
ejpam-5295	400	1	=	=	SYM
ejpam-5295	400	2	r(e(17,5)|t	r(e(17,5)|t	PROPN
ejpam-5295	400	3	)	)	PUNCT
ejpam-5295	401	1	=	=	SYM
ejpam-5295	401	2	r(e(17,6)|t	r(e(17,6)|t	NOUN
ejpam-5295	401	3	)	)	PUNCT
ejpam-5295	401	4	n	n	NOUN
ejpam-5295	401	5	=	=	SYM
ejpam-5295	401	6	5	5	NUM
ejpam-5295	401	7	r(e(13,5)|t	r(e(13,5)|t	NOUN
ejpam-5295	401	8	)	)	PUNCT
ejpam-5295	401	9	=	=	SYM
ejpam-5295	401	10	r(e(13,6)|t	r(e(13,6)|t	PROPN
ejpam-5295	401	11	)	)	PUNCT
ejpam-5295	401	12	r(e(14,3)|t	r(e(14,3)|t	NOUN
ejpam-5295	401	13	)	)	PUNCT
ejpam-5295	402	1	=	=	SYM
ejpam-5295	402	2	r(e(14,4)|t	r(e(14,4)|t	NOUN
ejpam-5295	402	3	)	)	PUNCT
ejpam-5295	402	4	=	=	SYM
ejpam-5295	402	5	r(e(14,5)|t	r(e(14,5)|t	NOUN
ejpam-5295	402	6	)	)	PUNCT
ejpam-5295	402	7	r(e(15,3)|t	r(e(15,3)|t	NOUN
ejpam-5295	402	8	)	)	PUNCT
ejpam-5295	402	9	=	=	SYM
ejpam-5295	402	10	r(e(15,4)|t	r(e(15,4)|t	NOUN
ejpam-5295	402	11	)	)	PUNCT
ejpam-5295	403	1	=	=	SYM
ejpam-5295	403	2	r(e(15,5)|t	r(e(15,5)|t	NOUN
ejpam-5295	403	3	)	)	PUNCT
ejpam-5295	404	1	=	=	SYM
ejpam-5295	404	2	r(e(15,6)|t	r(e(15,6)|t	NOUN
ejpam-5295	404	3	)	)	PUNCT
ejpam-5295	404	4	r(e(16,2)|t	r(e(16,2)|t	NOUN
ejpam-5295	404	5	)	)	PUNCT
ejpam-5295	405	1	=	=	SYM
ejpam-5295	405	2	r(e(16,4)|t	r(e(16,4)|t	NOUN
ejpam-5295	405	3	)	)	PUNCT
ejpam-5295	405	4	=	=	SYM
ejpam-5295	405	5	r(e(16,3)|t	r(e(16,3)|t	NOUN
ejpam-5295	405	6	)	)	PUNCT
ejpam-5295	405	7	r(e(17,3)|t	r(e(17,3)|t	NOUN
ejpam-5295	405	8	)	)	PUNCT
ejpam-5295	406	1	=	=	PUNCT
ejpam-5295	406	2	r(e(17,4)|t	r(e(17,4)|t	NOUN
ejpam-5295	406	3	)	)	PUNCT
ejpam-5295	407	1	=	=	SYM
ejpam-5295	407	2	r(e(17,5)|t	r(e(17,5)|t	PROPN
ejpam-5295	407	3	)	)	PUNCT
ejpam-5295	408	1	=	=	SYM
ejpam-5295	408	2	r(e(17,6)|t	r(e(17,6)|t	NOUN
ejpam-5295	408	3	)	)	PUNCT
ejpam-5295	408	4	=	=	SYM
ejpam-5295	408	5	r(e(17,7)|t	r(e(17,7)|t	ADJ
ejpam-5295	408	6	)	)	PUNCT
ejpam-5295	408	7	r(e(18,2)|t	r(e(18,2)|t	NOUN
ejpam-5295	408	8	)	)	PUNCT
ejpam-5295	408	9	=	=	SYM
ejpam-5295	408	10	r(e(18,3)|t	r(e(18,3)|t	NOUN
ejpam-5295	408	11	)	)	PUNCT
ejpam-5295	408	12	=	=	SYM
ejpam-5295	408	13	r(e(18,4)|t	r(e(18,4)|t	NOUN
ejpam-5295	408	14	)	)	PUNCT
ejpam-5295	408	15	=	=	SYM
ejpam-5295	408	16	r(e(18,5)|t	r(e(18,5)|t	NOUN
ejpam-5295	408	17	)	)	PUNCT
ejpam-5295	408	18	r(e(19,2)|t	r(e(19,2)|t	NOUN
ejpam-5295	408	19	)	)	PUNCT
ejpam-5295	408	20	=	=	PUNCT
ejpam-5295	408	21	r(e(19,4)|t	r(e(19,4)|t	PROPN
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ejpam-5295	409	2	r(e(19,6)|t	r(e(19,6)|t	NOUN
ejpam-5295	409	3	)	)	PUNCT
ejpam-5295	410	1	=	=	SYM
ejpam-5295	410	2	r(e(19,7)|t	r(e(19,7)|t	NOUN
ejpam-5295	410	3	)	)	PUNCT
ejpam-5295	410	4	=	=	SYM
ejpam-5295	410	5	r(e(19,8)|t	r(e(19,8)|t	NOUN
ejpam-5295	410	6	)	)	PUNCT
ejpam-5295	411	1	=	=	PUNCT
ejpam-5295	411	2	r(e(19,9)|t	r(e(19,9)|t	NOUN
ejpam-5295	411	3	)	)	PUNCT
ejpam-5295	411	4	r(e(20,1)|t	r(e(20,1)|t	NOUN
ejpam-5295	411	5	)	)	PUNCT
ejpam-5295	412	1	=	=	SYM
ejpam-5295	412	2	r(e(20,2)|t	r(e(20,2)|t	NOUN
ejpam-5295	412	3	)	)	PUNCT
ejpam-5295	412	4	=	=	SYM
ejpam-5295	412	5	r(e(20,3)|t	r(e(20,3)|t	NOUN
ejpam-5295	412	6	)	)	PUNCT
ejpam-5295	412	7	=	=	SYM
ejpam-5295	412	8	r(e(20,4)|t	r(e(20,4)|t	X
ejpam-5295	412	9	)	)	PUNCT
ejpam-5295	413	1	=	=	SYM
ejpam-5295	413	2	r(e(20,5)|t	r(e(20,5)|t	PROPN
ejpam-5295	413	3	)	)	PUNCT
ejpam-5295	413	4	r(e(21,1)|t	r(e(21,1)|t	NOUN
ejpam-5295	413	5	)	)	PUNCT
ejpam-5295	413	6	=	=	SYM
ejpam-5295	413	7	r(e(21,2)|t	r(e(21,2)|t	NOUN
ejpam-5295	413	8	)	)	PUNCT
ejpam-5295	413	9	=	=	SYM
ejpam-5295	413	10	r(e(21,3)|t	r(e(21,3)|t	NOUN
ejpam-5295	413	11	)	)	PUNCT
ejpam-5295	413	12	=	=	PUNCT
ejpam-5295	413	13	r(e(21,4)|t	r(e(21,4)|t	X
ejpam-5295	413	14	)	)	PUNCT
ejpam-5295	414	1	=	=	SYM
ejpam-5295	414	2	r(e(21,5)|t	r(e(21,5)|t	NOUN
ejpam-5295	414	3	)	)	PUNCT
ejpam-5295	414	4	table	table	NOUN
ejpam-5295	414	5	2	2	NUM
ejpam-5295	414	6	:	:	PUNCT
ejpam-5295	414	7	comparison	comparison	NOUN
ejpam-5295	414	8	of	of	ADP
ejpam-5295	414	9	vertices	vertex	NOUN
ejpam-5295	414	10	for	for	ADP
ejpam-5295	414	11	different	different	ADJ
ejpam-5295	414	12	cases	case	NOUN
ejpam-5295	414	13	after	after	ADP
ejpam-5295	414	14	generalizing	generalize	VERB
ejpam-5295	414	15	we	we	PRON
ejpam-5295	414	16	have	have	VERB
ejpam-5295	414	17	r(e(2n+4,3)|t	r(e(2n+4,3)|t	PROPN
ejpam-5295	414	18	)	)	PUNCT
ejpam-5295	415	1	=	=	PUNCT
ejpam-5295	416	1	r(e(2n+4,2)|t	r(e(2n+4,2)|t	X
ejpam-5295	416	2	)	)	PUNCT
ejpam-5295	416	3	,	,	PUNCT
ejpam-5295	416	4	r(e(2n+6,4)|t	r(e(2n+6,4)|t	X
ejpam-5295	416	5	)	)	PUNCT
ejpam-5295	416	6	=	=	SYM
ejpam-5295	416	7	r(e(2n+6,6)|t	r(e(2n+6,6)|t	PROPN
ejpam-5295	416	8	)	)	PUNCT
ejpam-5295	416	9	,	,	PUNCT
ejpam-5295	416	10	r(e(2n+1,3)|t	r(e(2n+1,3)|t	X
ejpam-5295	416	11	)	)	PUNCT
ejpam-5295	417	1	=	=	SYM
ejpam-5295	417	2	r(e(2n+1,2)|t	r(e(2n+1,2)|t	NOUN
ejpam-5295	417	3	)	)	PUNCT
ejpam-5295	418	1	=	=	SYM
ejpam-5295	418	2	r(e(2n+1,1)|t	r(e(2n+1,1)|t	PROPN
ejpam-5295	418	3	)	)	PUNCT
ejpam-5295	418	4	,	,	PUNCT
ejpam-5295	418	5	r(e(2n+1,3)|t	r(e(2n+1,3)|t	X
ejpam-5295	418	6	)	)	PUNCT
ejpam-5295	418	7	=	=	SYM
ejpam-5295	418	8	r(e(2n+1,4)|t	r(e(2n+1,4)|t	PROPN
ejpam-5295	418	9	)	)	PUNCT
ejpam-5295	418	10	,	,	PUNCT
ejpam-5295	418	11	these	these	PRON
ejpam-5295	418	12	are	be	AUX
ejpam-5295	418	13	contradictions	contradiction	NOUN
ejpam-5295	418	14	.	.	PUNCT
ejpam-5295	419	1	hence	hence	ADV
ejpam-5295	419	2	,	,	PUNCT
ejpam-5295	419	3	the	the	DET
ejpam-5295	419	4	edge	edge	NOUN
ejpam-5295	419	5	emd	emd	PROPN
ejpam-5295	419	6	of	of	ADP
ejpam-5295	419	7	the	the	DET
ejpam-5295	419	8	carbon	carbon	NOUN
ejpam-5295	419	9	nanotube	nanotube	NOUN
ejpam-5295	419	10	is	be	AUX
ejpam-5295	419	11	3	3	NUM
ejpam-5295	419	12	.	.	PUNCT
ejpam-5295	420	1	the	the	DET
ejpam-5295	420	2	investigation	investigation	NOUN
ejpam-5295	420	3	into	into	ADP
ejpam-5295	420	4	the	the	DET
ejpam-5295	420	5	md	md	PROPN
ejpam-5295	420	6	and	and	CCONJ
ejpam-5295	420	7	emd	emd	PROPN
ejpam-5295	420	8	of	of	ADP
ejpam-5295	420	9	h	h	PROPN
ejpam-5295	420	10	-	-	PUNCT
ejpam-5295	420	11	bn	bn	NOUN
ejpam-5295	420	12	and	and	CCONJ
ejpam-5295	420	13	cnts	cnts	PROPN
ejpam-5295	420	14	yields	yield	VERB
ejpam-5295	420	15	crucial	crucial	ADJ
ejpam-5295	420	16	insights	insight	NOUN
ejpam-5295	420	17	into	into	ADP
ejpam-5295	420	18	the	the	DET
ejpam-5295	420	19	structural	structural	ADJ
ejpam-5295	420	20	and	and	CCONJ
ejpam-5295	420	21	functional	functional	ADJ
ejpam-5295	420	22	properties	property	NOUN
ejpam-5295	420	23	of	of	ADP
ejpam-5295	420	24	these	these	DET
ejpam-5295	420	25	nanomaterials	nanomaterial	NOUN
ejpam-5295	420	26	.	.	PUNCT
ejpam-5295	421	1	the	the	DET
ejpam-5295	421	2	consistent	consistent	ADJ
ejpam-5295	421	3	md	md	PROPN
ejpam-5295	421	4	references	reference	NOUN
ejpam-5295	421	5	2070	2070	NUM
ejpam-5295	421	6	of	of	ADP
ejpam-5295	421	7	2	2	NUM
ejpam-5295	421	8	for	for	ADP
ejpam-5295	421	9	h	h	NOUN
ejpam-5295	421	10	-	-	PUNCT
ejpam-5295	421	11	bn	bn	NOUN
ejpam-5295	421	12	implies	imply	VERB
ejpam-5295	421	13	that	that	SCONJ
ejpam-5295	421	14	only	only	ADV
ejpam-5295	421	15	two	two	NUM
ejpam-5295	421	16	distinct	distinct	ADJ
ejpam-5295	421	17	points	point	NOUN
ejpam-5295	421	18	are	be	AUX
ejpam-5295	421	19	required	require	VERB
ejpam-5295	421	20	to	to	PART
ejpam-5295	421	21	uniquely	uniquely	ADV
ejpam-5295	421	22	identify	identify	VERB
ejpam-5295	421	23	any	any	DET
ejpam-5295	421	24	other	other	ADJ
ejpam-5295	421	25	point	point	NOUN
ejpam-5295	421	26	in	in	ADP
ejpam-5295	421	27	the	the	DET
ejpam-5295	421	28	structure	structure	NOUN
ejpam-5295	421	29	,	,	PUNCT
ejpam-5295	421	30	elucidating	elucidate	VERB
ejpam-5295	421	31	its	its	PRON
ejpam-5295	421	32	inherent	inherent	ADJ
ejpam-5295	421	33	simplicity	simplicity	NOUN
ejpam-5295	421	34	in	in	ADP
ejpam-5295	421	35	terms	term	NOUN
ejpam-5295	421	36	of	of	ADP
ejpam-5295	421	37	navigation	navigation	NOUN
ejpam-5295	421	38	and	and	CCONJ
ejpam-5295	421	39	localization	localization	NOUN
ejpam-5295	421	40	.	.	PUNCT
ejpam-5295	422	1	this	this	DET
ejpam-5295	422	2	characteristic	characteristic	NOUN
ejpam-5295	422	3	is	be	AUX
ejpam-5295	422	4	invaluable	invaluable	ADJ
ejpam-5295	422	5	in	in	ADP
ejpam-5295	422	6	various	various	ADJ
ejpam-5295	422	7	applications	application	NOUN
ejpam-5295	422	8	,	,	PUNCT
ejpam-5295	422	9	including	include	VERB
ejpam-5295	422	10	nanoelectronics	nanoelectronic	NOUN
ejpam-5295	422	11	and	and	CCONJ
ejpam-5295	422	12	photonics	photonic	NOUN
ejpam-5295	422	13	,	,	PUNCT
ejpam-5295	422	14	where	where	SCONJ
ejpam-5295	422	15	precise	precise	ADJ
ejpam-5295	422	16	positioning	positioning	NOUN
ejpam-5295	422	17	and	and	CCONJ
ejpam-5295	422	18	routing	routing	NOUN
ejpam-5295	422	19	of	of	ADP
ejpam-5295	422	20	signals	signal	NOUN
ejpam-5295	422	21	are	be	AUX
ejpam-5295	422	22	paramount	paramount	ADJ
ejpam-5295	422	23	.	.	PUNCT
ejpam-5295	423	1	furthermore	furthermore	ADV
ejpam-5295	423	2	,	,	PUNCT
ejpam-5295	423	3	the	the	DET
ejpam-5295	423	4	emd	emd	PROPN
ejpam-5295	423	5	of	of	ADP
ejpam-5295	423	6	2	2	NUM
ejpam-5295	423	7	underscores	underscore	VERB
ejpam-5295	423	8	the	the	DET
ejpam-5295	423	9	efficiency	efficiency	NOUN
ejpam-5295	423	10	of	of	ADP
ejpam-5295	423	11	pathways	pathway	NOUN
ejpam-5295	423	12	along	along	ADP
ejpam-5295	423	13	the	the	DET
ejpam-5295	423	14	edges	edge	NOUN
ejpam-5295	423	15	of	of	ADP
ejpam-5295	423	16	the	the	DET
ejpam-5295	423	17	h	h	NOUN
ejpam-5295	423	18	-	-	PUNCT
ejpam-5295	423	19	bn	bn	NOUN
ejpam-5295	423	20	lattice	lattice	NOUN
ejpam-5295	423	21	,	,	PUNCT
ejpam-5295	423	22	accentuating	accentuate	VERB
ejpam-5295	423	23	its	its	PRON
ejpam-5295	423	24	potential	potential	NOUN
ejpam-5295	423	25	to	to	PART
ejpam-5295	423	26	facilitate	facilitate	VERB
ejpam-5295	423	27	fast	fast	ADJ
ejpam-5295	423	28	and	and	CCONJ
ejpam-5295	423	29	reliable	reliable	ADJ
ejpam-5295	423	30	information	information	NOUN
ejpam-5295	423	31	transfer	transfer	NOUN
ejpam-5295	423	32	within	within	ADP
ejpam-5295	423	33	nanodevices	nanodevice	NOUN
ejpam-5295	423	34	.	.	PUNCT
ejpam-5295	424	1	similarly	similarly	ADV
ejpam-5295	424	2	,	,	PUNCT
ejpam-5295	424	3	the	the	DET
ejpam-5295	424	4	metric	metric	NOUN
ejpam-5295	424	5	and	and	CCONJ
ejpam-5295	424	6	emds	emds	NOUN
ejpam-5295	424	7	of	of	ADP
ejpam-5295	424	8	3	3	NUM
ejpam-5295	424	9	for	for	ADP
ejpam-5295	424	10	cnts	cnt	NOUN
ejpam-5295	424	11	shed	shed	VERB
ejpam-5295	424	12	light	light	NOUN
ejpam-5295	424	13	on	on	ADP
ejpam-5295	424	14	their	their	PRON
ejpam-5295	424	15	more	more	ADV
ejpam-5295	424	16	intricate	intricate	ADJ
ejpam-5295	424	17	spatial	spatial	ADJ
ejpam-5295	424	18	organization	organization	NOUN
ejpam-5295	424	19	compared	compare	VERB
ejpam-5295	424	20	to	to	ADP
ejpam-5295	424	21	h	h	NOUN
ejpam-5295	424	22	-	-	PUNCT
ejpam-5295	424	23	bn	bn	NOUN
ejpam-5295	424	24	.	.	PUNCT
ejpam-5295	425	1	with	with	ADP
ejpam-5295	425	2	three	three	NUM
ejpam-5295	425	3	points	point	NOUN
ejpam-5295	425	4	necessary	necessary	ADJ
ejpam-5295	425	5	for	for	ADP
ejpam-5295	425	6	pinpointing	pinpoint	VERB
ejpam-5295	425	7	any	any	DET
ejpam-5295	425	8	location	location	NOUN
ejpam-5295	425	9	within	within	ADP
ejpam-5295	425	10	the	the	DET
ejpam-5295	425	11	cnt	cnt	PROPN
ejpam-5295	425	12	structure	structure	NOUN
ejpam-5295	425	13	,	,	PUNCT
ejpam-5295	425	14	this	this	PRON
ejpam-5295	425	15	indicates	indicate	VERB
ejpam-5295	425	16	a	a	DET
ejpam-5295	425	17	higher	high	ADJ
ejpam-5295	425	18	degree	degree	NOUN
ejpam-5295	425	19	of	of	ADP
ejpam-5295	425	20	complexity	complexity	NOUN
ejpam-5295	425	21	,	,	PUNCT
ejpam-5295	425	22	which	which	PRON
ejpam-5295	425	23	can	can	AUX
ejpam-5295	425	24	be	be	AUX
ejpam-5295	425	25	advantageous	advantageous	ADJ
ejpam-5295	425	26	in	in	ADP
ejpam-5295	425	27	applications	application	NOUN
ejpam-5295	425	28	demanding	demand	VERB
ejpam-5295	425	29	greater	great	ADJ
ejpam-5295	425	30	degrees	degree	NOUN
ejpam-5295	425	31	of	of	ADP
ejpam-5295	425	32	freedom	freedom	NOUN
ejpam-5295	425	33	in	in	ADP
ejpam-5295	425	34	manipulation	manipulation	NOUN
ejpam-5295	425	35	and	and	CCONJ
ejpam-5295	425	36	assembly	assembly	NOUN
ejpam-5295	425	37	,	,	PUNCT
ejpam-5295	425	38	such	such	ADJ
ejpam-5295	425	39	as	as	ADP
ejpam-5295	425	40	in	in	ADP
ejpam-5295	425	41	nanorobotics	nanorobotic	NOUN
ejpam-5295	425	42	and	and	CCONJ
ejpam-5295	425	43	drug	drug	NOUN
ejpam-5295	425	44	delivery	delivery	NOUN
ejpam-5295	425	45	systems	system	NOUN
ejpam-5295	425	46	.	.	PUNCT
ejpam-5295	426	1	understanding	understand	VERB
ejpam-5295	426	2	the	the	DET
ejpam-5295	426	3	metric	metric	NOUN
ejpam-5295	426	4	and	and	CCONJ
ejpam-5295	426	5	emds	emds	NOUN
ejpam-5295	426	6	of	of	ADP
ejpam-5295	426	7	h	h	NOUN
ejpam-5295	426	8	-	-	PUNCT
ejpam-5295	426	9	bn	bn	NOUN
ejpam-5295	426	10	and	and	CCONJ
ejpam-5295	426	11	cnts	cnt	NOUN
ejpam-5295	426	12	not	not	PART
ejpam-5295	426	13	only	only	ADV
ejpam-5295	426	14	provides	provide	VERB
ejpam-5295	426	15	fundamental	fundamental	ADJ
ejpam-5295	426	16	insights	insight	NOUN
ejpam-5295	426	17	into	into	ADP
ejpam-5295	426	18	their	their	PRON
ejpam-5295	426	19	geometric	geometric	ADJ
ejpam-5295	426	20	properties	property	NOUN
ejpam-5295	426	21	but	but	CCONJ
ejpam-5295	426	22	also	also	ADV
ejpam-5295	426	23	paves	pave	VERB
ejpam-5295	426	24	the	the	DET
ejpam-5295	426	25	way	way	NOUN
ejpam-5295	426	26	for	for	ADP
ejpam-5295	426	27	optimizing	optimize	VERB
ejpam-5295	426	28	their	their	PRON
ejpam-5295	426	29	performance	performance	NOUN
ejpam-5295	426	30	in	in	ADP
ejpam-5295	426	31	diverse	diverse	ADJ
ejpam-5295	426	32	technological	technological	ADJ
ejpam-5295	426	33	realms	realm	NOUN
ejpam-5295	426	34	.	.	PUNCT
ejpam-5295	427	1	by	by	ADP
ejpam-5295	427	2	harnessing	harness	VERB
ejpam-5295	427	3	the	the	DET
ejpam-5295	427	4	minimalistic	minimalistic	ADJ
ejpam-5295	427	5	yet	yet	CCONJ
ejpam-5295	427	6	effective	effective	ADJ
ejpam-5295	427	7	navigation	navigation	NOUN
ejpam-5295	427	8	offered	offer	VERB
ejpam-5295	427	9	by	by	ADP
ejpam-5295	427	10	h	h	PROPN
ejpam-5295	427	11	-	-	PUNCT
ejpam-5295	427	12	bn	bn	NOUN
ejpam-5295	427	13	,	,	PUNCT
ejpam-5295	427	14	engineers	engineer	NOUN
ejpam-5295	427	15	,	,	PUNCT
ejpam-5295	427	16	and	and	CCONJ
ejpam-5295	427	17	researchers	researcher	NOUN
ejpam-5295	427	18	can	can	AUX
ejpam-5295	427	19	devise	devise	VERB
ejpam-5295	427	20	innovative	innovative	ADJ
ejpam-5295	427	21	strategies	strategy	NOUN
ejpam-5295	427	22	for	for	ADP
ejpam-5295	427	23	designing	design	VERB
ejpam-5295	427	24	next	next	ADJ
ejpam-5295	427	25	-	-	PUNCT
ejpam-5295	427	26	generation	generation	NOUN
ejpam-5295	427	27	nanoelectronic	nanoelectronic	ADJ
ejpam-5295	427	28	circuits	circuit	NOUN
ejpam-5295	427	29	and	and	CCONJ
ejpam-5295	427	30	optoelectronic	optoelectronic	ADJ
ejpam-5295	427	31	devices	device	NOUN
ejpam-5295	427	32	with	with	ADP
ejpam-5295	427	33	enhanced	enhanced	ADJ
ejpam-5295	427	34	functionality	functionality	NOUN
ejpam-5295	427	35	and	and	CCONJ
ejpam-5295	427	36	reliability	reliability	NOUN
ejpam-5295	427	37	.	.	PUNCT
ejpam-5295	428	1	meanwhile	meanwhile	ADV
ejpam-5295	428	2	,	,	PUNCT
ejpam-5295	428	3	the	the	DET
ejpam-5295	428	4	slightly	slightly	ADV
ejpam-5295	428	5	higher	high	ADJ
ejpam-5295	428	6	dimensions	dimension	NOUN
ejpam-5295	428	7	observed	observe	VERB
ejpam-5295	428	8	in	in	ADP
ejpam-5295	428	9	cnts	cnts	PROPN
ejpam-5295	428	10	offer	offer	VERB
ejpam-5295	428	11	a	a	DET
ejpam-5295	428	12	versatile	versatile	ADJ
ejpam-5295	428	13	platform	platform	NOUN
ejpam-5295	428	14	for	for	ADP
ejpam-5295	428	15	exploring	explore	VERB
ejpam-5295	428	16	novel	novel	ADJ
ejpam-5295	428	17	applications	application	NOUN
ejpam-5295	428	18	requiring	require	VERB
ejpam-5295	428	19	more	more	ADV
ejpam-5295	428	20	intricate	intricate	ADJ
ejpam-5295	428	21	spatial	spatial	ADJ
ejpam-5295	428	22	arrangements	arrangement	NOUN
ejpam-5295	428	23	,	,	PUNCT
ejpam-5295	428	24	ranging	range	VERB
ejpam-5295	428	25	from	from	ADP
ejpam-5295	428	26	advanced	advanced	ADJ
ejpam-5295	428	27	sensing	sense	VERB
ejpam-5295	428	28	technologies	technology	NOUN
ejpam-5295	428	29	to	to	ADP
ejpam-5295	428	30	targeted	target	VERB
ejpam-5295	428	31	drug	drug	NOUN
ejpam-5295	428	32	delivery	delivery	NOUN
ejpam-5295	428	33	systems	system	NOUN
ejpam-5295	428	34	.	.	PUNCT
ejpam-5295	429	1	ultimately	ultimately	ADV
ejpam-5295	429	2	,	,	PUNCT
ejpam-5295	429	3	this	this	DET
ejpam-5295	429	4	investigation	investigation	NOUN
ejpam-5295	429	5	underscores	underscore	VERB
ejpam-5295	429	6	the	the	DET
ejpam-5295	429	7	importance	importance	NOUN
ejpam-5295	429	8	of	of	ADP
ejpam-5295	429	9	geometric	geometric	ADJ
ejpam-5295	429	10	characterization	characterization	NOUN
ejpam-5295	429	11	in	in	ADP
ejpam-5295	429	12	unlocking	unlock	VERB
ejpam-5295	429	13	the	the	DET
ejpam-5295	429	14	full	full	ADJ
ejpam-5295	429	15	potential	potential	NOUN
ejpam-5295	429	16	of	of	ADP
ejpam-5295	429	17	nanomaterials	nanomaterial	NOUN
ejpam-5295	429	18	,	,	PUNCT
ejpam-5295	429	19	guiding	guide	VERB
ejpam-5295	429	20	the	the	DET
ejpam-5295	429	21	development	development	NOUN
ejpam-5295	429	22	of	of	ADP
ejpam-5295	429	23	tailored	tailor	VERB
ejpam-5295	429	24	solutions	solution	NOUN
ejpam-5295	429	25	for	for	ADP
ejpam-5295	429	26	a	a	DET
ejpam-5295	429	27	myriad	myriad	NOUN
ejpam-5295	429	28	of	of	ADP
ejpam-5295	429	29	scientific	scientific	ADJ
ejpam-5295	429	30	and	and	CCONJ
ejpam-5295	429	31	technological	technological	ADJ
ejpam-5295	429	32	challenges	challenge	NOUN
ejpam-5295	429	33	.	.	PUNCT
ejpam-5295	430	1	3	3	X
ejpam-5295	430	2	.	.	X
ejpam-5295	430	3	conclusion	conclusion	NOUN
ejpam-5295	430	4	this	this	DET
ejpam-5295	430	5	study	study	NOUN
ejpam-5295	430	6	reveals	reveal	VERB
ejpam-5295	430	7	that	that	SCONJ
ejpam-5295	430	8	hexagonal	hexagonal	ADJ
ejpam-5295	430	9	boron	boron	NOUN
ejpam-5295	430	10	nitride	nitride	NOUN
ejpam-5295	430	11	(	(	PUNCT
ejpam-5295	430	12	h	h	NOUN
ejpam-5295	430	13	-	-	PUNCT
ejpam-5295	430	14	bn	bn	NOUN
ejpam-5295	430	15	)	)	PUNCT
ejpam-5295	430	16	has	have	VERB
ejpam-5295	430	17	an	an	DET
ejpam-5295	430	18	md	md	PROPN
ejpam-5295	430	19	and	and	CCONJ
ejpam-5295	430	20	emd	emd	PROPN
ejpam-5295	430	21	of	of	ADP
ejpam-5295	430	22	2	2	NUM
ejpam-5295	430	23	,	,	PUNCT
ejpam-5295	430	24	while	while	SCONJ
ejpam-5295	430	25	carbon	carbon	NOUN
ejpam-5295	430	26	nanotubes	nanotube	NOUN
ejpam-5295	430	27	(	(	PUNCT
ejpam-5295	430	28	cnts	cnt	NOUN
ejpam-5295	430	29	)	)	PUNCT
ejpam-5295	430	30	have	have	VERB
ejpam-5295	430	31	an	an	DET
ejpam-5295	430	32	md	md	PROPN
ejpam-5295	430	33	and	and	CCONJ
ejpam-5295	430	34	emd	emd	PROPN
ejpam-5295	430	35	of	of	ADP
ejpam-5295	430	36	3	3	NUM
ejpam-5295	430	37	.	.	PUNCT
ejpam-5295	431	1	these	these	DET
ejpam-5295	431	2	findings	finding	NOUN
ejpam-5295	431	3	highlight	highlight	VERB
ejpam-5295	431	4	the	the	DET
ejpam-5295	431	5	unique	unique	ADJ
ejpam-5295	431	6	structural	structural	ADJ
ejpam-5295	431	7	properties	property	NOUN
ejpam-5295	431	8	of	of	ADP
ejpam-5295	431	9	these	these	DET
ejpam-5295	431	10	nanomaterials	nanomaterial	NOUN
ejpam-5295	431	11	,	,	PUNCT
ejpam-5295	431	12	with	with	ADP
ejpam-5295	431	13	implications	implication	NOUN
ejpam-5295	431	14	for	for	ADP
ejpam-5295	431	15	various	various	ADJ
ejpam-5295	431	16	technological	technological	ADJ
ejpam-5295	431	17	applications	application	NOUN
ejpam-5295	431	18	.	.	PUNCT
ejpam-5295	432	1	understanding	understand	VERB
ejpam-5295	432	2	their	their	PRON
ejpam-5295	432	3	emd	emd	PROPN
ejpam-5295	432	4	offers	offer	VERB
ejpam-5295	432	5	valuable	valuable	ADJ
ejpam-5295	432	6	insights	insight	NOUN
ejpam-5295	432	7	into	into	ADP
ejpam-5295	432	8	their	their	PRON
ejpam-5295	432	9	geometry	geometry	NOUN
ejpam-5295	432	10	and	and	CCONJ
ejpam-5295	432	11	potential	potential	NOUN
ejpam-5295	432	12	for	for	ADP
ejpam-5295	432	13	tailored	tailored	ADJ
ejpam-5295	432	14	functionalization	functionalization	NOUN
ejpam-5295	432	15	,	,	PUNCT
ejpam-5295	432	16	driving	drive	VERB
ejpam-5295	432	17	advancements	advancement	NOUN
ejpam-5295	432	18	in	in	ADP
ejpam-5295	432	19	nanoscience	nanoscience	NOUN
ejpam-5295	432	20	and	and	CCONJ
ejpam-5295	432	21	engineering	engineering	NOUN
ejpam-5295	432	22	.	.	PUNCT
ejpam-5295	433	1	acknowledgements	acknowledgement	NOUN
ejpam-5295	433	2	the	the	DET
ejpam-5295	433	3	authors	author	NOUN
ejpam-5295	433	4	thank	thank	VERB
ejpam-5295	433	5	the	the	DET
ejpam-5295	433	6	readers	reader	NOUN
ejpam-5295	433	7	of	of	ADP
ejpam-5295	433	8	the	the	DET
ejpam-5295	433	9	european	european	PROPN
ejpam-5295	433	10	journal	journal	PROPN
ejpam-5295	433	11	of	of	ADP
ejpam-5295	433	12	pure	pure	ADJ
ejpam-5295	433	13	and	and	CCONJ
ejpam-5295	433	14	applied	applied	ADJ
ejpam-5295	433	15	mathematics	mathematic	NOUN
ejpam-5295	433	16	,	,	PUNCT
ejpam-5295	433	17	for	for	ADP
ejpam-5295	433	18	making	make	VERB
ejpam-5295	433	19	our	our	PRON
ejpam-5295	433	20	journal	journal	NOUN
ejpam-5295	433	21	successful	successful	ADJ
ejpam-5295	433	22	.	.	PUNCT
ejpam-5295	434	1	references	reference	NOUN
ejpam-5295	434	2	[	[	X
ejpam-5295	434	3	1	1	NUM
ejpam-5295	434	4	]	]	X
ejpam-5295	434	5	ali	ali	PROPN
ejpam-5295	434	6	ahmad	ahmad	PROPN
ejpam-5295	434	7	,	,	PUNCT
ejpam-5295	434	8	martin	martin	PROPN
ejpam-5295	434	9	bača	bača	PROPN
ejpam-5295	434	10	,	,	PUNCT
ejpam-5295	434	11	and	and	CCONJ
ejpam-5295	434	12	saba	saba	PROPN
ejpam-5295	434	13	sultan	sultan	PROPN
ejpam-5295	434	14	.	.	PUNCT
ejpam-5295	435	1	computing	compute	VERB
ejpam-5295	435	2	the	the	DET
ejpam-5295	435	3	metric	metric	ADJ
ejpam-5295	435	4	dimension	dimension	NOUN
ejpam-5295	435	5	of	of	ADP
ejpam-5295	435	6	kayak	kayak	NOUN
ejpam-5295	435	7	paddles	paddle	NOUN
ejpam-5295	435	8	graph	graph	NOUN
ejpam-5295	435	9	and	and	CCONJ
ejpam-5295	435	10	cycles	cycle	NOUN
ejpam-5295	435	11	with	with	ADP
ejpam-5295	435	12	chord	chord	NOUN
ejpam-5295	435	13	.	.	PUNCT
ejpam-5295	436	1	proyecciones	proyeccione	NOUN
ejpam-5295	436	2	(	(	PUNCT
ejpam-5295	436	3	antofagasta	antofagasta	PROPN
ejpam-5295	436	4	)	)	PUNCT
ejpam-5295	436	5	,	,	PUNCT
ejpam-5295	436	6	39(2):287	39(2):287	PROPN
ejpam-5295	436	7	–	–	PUNCT
ejpam-5295	436	8	300	300	NUM
ejpam-5295	436	9	,	,	PUNCT
ejpam-5295	436	10	2020	2020	NUM
ejpam-5295	436	11	.	.	PUNCT
ejpam-5295	437	1	references	reference	NOUN
ejpam-5295	437	2	2071	2071	NUM
ejpam-5295	437	3	[	[	X
ejpam-5295	437	4	2	2	X
ejpam-5295	437	5	]	]	PUNCT
ejpam-5295	437	6	muhammad	muhammad	PROPN
ejpam-5295	437	7	ahsan	ahsan	PROPN
ejpam-5295	437	8	,	,	PUNCT
ejpam-5295	437	9	zohaib	zohaib	PROPN
ejpam-5295	437	10	zahid	zahid	PROPN
ejpam-5295	437	11	,	,	PUNCT
ejpam-5295	437	12	sohail	sohail	PROPN
ejpam-5295	437	13	zafar	zafar	PROPN
ejpam-5295	437	14	,	,	PUNCT
ejpam-5295	437	15	arif	arif	PROPN
ejpam-5295	437	16	rafiq	rafiq	PROPN
ejpam-5295	437	17	,	,	PUNCT
ejpam-5295	437	18	m	m	PROPN
ejpam-5295	437	19	sarwar	sarwar	PROPN
ejpam-5295	437	20	sindhu	sindhu	PROPN
ejpam-5295	437	21	,	,	PUNCT
ejpam-5295	437	22	and	and	CCONJ
ejpam-5295	437	23	muhammad	muhammad	PROPN
ejpam-5295	437	24	umar	umar	PROPN
ejpam-5295	437	25	.	.	PUNCT
ejpam-5295	438	1	computing	compute	VERB
ejpam-5295	438	2	the	the	DET
ejpam-5295	438	3	edge	edge	NOUN
ejpam-5295	438	4	metric	metric	ADJ
ejpam-5295	438	5	dimension	dimension	NOUN
ejpam-5295	438	6	of	of	ADP
ejpam-5295	438	7	convex	convex	ADJ
ejpam-5295	438	8	polytopes	polytope	NOUN
ejpam-5295	438	9	related	relate	VERB
ejpam-5295	438	10	graphs	graph	NOUN
ejpam-5295	438	11	.	.	PUNCT
ejpam-5295	439	1	j.	j.	PROPN
ejpam-5295	439	2	math	math	PROPN
ejpam-5295	439	3	.	.	PUNCT
ejpam-5295	440	1	comput	comput	NOUN
ejpam-5295	440	2	.	.	PUNCT
ejpam-5295	441	1	sci	sci	PROPN
ejpam-5295	441	2	,	,	PUNCT
ejpam-5295	441	3	22:174–188	22:174–188	PROPN
ejpam-5295	441	4	,	,	PUNCT
ejpam-5295	441	5	2021	2021	NUM
ejpam-5295	441	6	.	.	PUNCT
ejpam-5295	442	1	[	[	X
ejpam-5295	442	2	3	3	X
ejpam-5295	442	3	]	]	X
ejpam-5295	442	4	imtiaz	imtiaz	PROPN
ejpam-5295	442	5	ali	ali	PROPN
ejpam-5295	442	6	,	,	PUNCT
ejpam-5295	442	7	muhammad	muhammad	PROPN
ejpam-5295	442	8	javaid	javaid	PROPN
ejpam-5295	442	9	,	,	PUNCT
ejpam-5295	442	10	and	and	CCONJ
ejpam-5295	442	11	yilun	yilun	PROPN
ejpam-5295	442	12	shang	shang	PROPN
ejpam-5295	442	13	.	.	PUNCT
ejpam-5295	443	1	computing	compute	VERB
ejpam-5295	443	2	dominant	dominant	ADJ
ejpam-5295	443	3	metric	metric	ADJ
ejpam-5295	443	4	dimensions	dimension	NOUN
ejpam-5295	443	5	of	of	ADP
ejpam-5295	443	6	certain	certain	ADJ
ejpam-5295	443	7	connected	connected	ADJ
ejpam-5295	443	8	networks	network	NOUN
ejpam-5295	443	9	.	.	PUNCT
ejpam-5295	444	1	heliyon	heliyon	NOUN
ejpam-5295	444	2	,	,	PUNCT
ejpam-5295	444	3	10	10	NUM
ejpam-5295	444	4	:	:	PUNCT
ejpam-5295	444	5	e25654	e25654	NOUN
ejpam-5295	444	6	,	,	PUNCT
ejpam-5295	444	7	2024	2024	NUM
ejpam-5295	444	8	.	.	PUNCT
ejpam-5295	445	1	[	[	X
ejpam-5295	445	2	4	4	X
ejpam-5295	445	3	]	]	X
ejpam-5295	445	4	murtaza	murtaza	PROPN
ejpam-5295	445	5	ali	ali	PROPN
ejpam-5295	445	6	,	,	PUNCT
ejpam-5295	445	7	gohar	gohar	PROPN
ejpam-5295	445	8	ali	ali	PROPN
ejpam-5295	445	9	,	,	PUNCT
ejpam-5295	445	10	muhammad	muhammad	PROPN
ejpam-5295	445	11	imran	imran	PROPN
ejpam-5295	445	12	,	,	PUNCT
ejpam-5295	445	13	abdul	abdul	PROPN
ejpam-5295	445	14	qudair	qudair	PROPN
ejpam-5295	445	15	baig	baig	PROPN
ejpam-5295	445	16	,	,	PUNCT
ejpam-5295	445	17	and	and	CCONJ
ejpam-5295	445	18	muhammad	muhammad	PROPN
ejpam-5295	445	19	kashif	kashif	PROPN
ejpam-5295	445	20	shafiq	shafiq	PROPN
ejpam-5295	445	21	.	.	PUNCT
ejpam-5295	446	1	on	on	ADP
ejpam-5295	446	2	the	the	DET
ejpam-5295	446	3	metric	metric	ADJ
ejpam-5295	446	4	dimension	dimension	NOUN
ejpam-5295	446	5	of	of	ADP
ejpam-5295	446	6	mobius	mobius	ADJ
ejpam-5295	446	7	ladders	ladder	NOUN
ejpam-5295	446	8	.	.	PUNCT
ejpam-5295	447	1	ars	ars	PROPN
ejpam-5295	447	2	comb	comb	PROPN
ejpam-5295	447	3	.	.	PUNCT
ejpam-5295	448	1	,	,	PUNCT
ejpam-5295	448	2	105:403	105:403	NOUN
ejpam-5295	448	3	–	–	PUNCT
ejpam-5295	448	4	410	410	NUM
ejpam-5295	448	5	,	,	PUNCT
ejpam-5295	448	6	2012	2012	NUM
ejpam-5295	448	7	.	.	PUNCT
ejpam-5295	449	1	[	[	X
ejpam-5295	449	2	5	5	X
ejpam-5295	449	3	]	]	X
ejpam-5295	449	4	gary	gary	PROPN
ejpam-5295	449	5	chartrand	chartrand	PROPN
ejpam-5295	449	6	,	,	PUNCT
ejpam-5295	449	7	linda	linda	PROPN
ejpam-5295	449	8	eroh	eroh	PROPN
ejpam-5295	449	9	,	,	PUNCT
ejpam-5295	449	10	mark	mark	VERB
ejpam-5295	449	11	a	a	DET
ejpam-5295	449	12	johnson	johnson	NOUN
ejpam-5295	449	13	,	,	PUNCT
ejpam-5295	449	14	and	and	CCONJ
ejpam-5295	449	15	ortrud	ortrud	NOUN
ejpam-5295	449	16	r	r	NOUN
ejpam-5295	449	17	oellermann	oellermann	NOUN
ejpam-5295	449	18	.	.	PUNCT
ejpam-5295	450	1	resolvability	resolvability	NOUN
ejpam-5295	450	2	in	in	ADP
ejpam-5295	450	3	graphs	graph	NOUN
ejpam-5295	450	4	and	and	CCONJ
ejpam-5295	450	5	the	the	DET
ejpam-5295	450	6	metric	metric	ADJ
ejpam-5295	450	7	dimension	dimension	NOUN
ejpam-5295	450	8	of	of	ADP
ejpam-5295	450	9	a	a	DET
ejpam-5295	450	10	graph	graph	NOUN
ejpam-5295	450	11	.	.	PUNCT
ejpam-5295	451	1	discrete	discrete	ADJ
ejpam-5295	451	2	applied	apply	VERB
ejpam-5295	451	3	mathematics	mathematic	NOUN
ejpam-5295	451	4	,	,	PUNCT
ejpam-5295	451	5	105(1	105(1	PROPN
ejpam-5295	451	6	-	-	SYM
ejpam-5295	451	7	3):99–113	3):99–113	NUM
ejpam-5295	451	8	,	,	PUNCT
ejpam-5295	451	9	2000	2000	NUM
ejpam-5295	451	10	.	.	PUNCT
ejpam-5295	452	1	[	[	X
ejpam-5295	452	2	6	6	NUM
ejpam-5295	452	3	]	]	PUNCT
ejpam-5295	452	4	vasek	vasek	PROPN
ejpam-5295	452	5	chvátal	chvátal	NOUN
ejpam-5295	452	6	.	.	PUNCT
ejpam-5295	452	7	mastermind	mastermind	NOUN
ejpam-5295	452	8	.	.	PUNCT
ejpam-5295	453	1	combinatorica	combinatorica	PROPN
ejpam-5295	453	2	,	,	PUNCT
ejpam-5295	453	3	3:325–329	3:325–329	NUM
ejpam-5295	453	4	,	,	PUNCT
ejpam-5295	453	5	1983	1983	NUM
ejpam-5295	453	6	.	.	PUNCT
ejpam-5295	454	1	[	[	X
ejpam-5295	454	2	7	7	X
ejpam-5295	454	3	]	]	X
ejpam-5295	454	4	paul	paul	PROPN
ejpam-5295	454	5	erdos	erdo	NOUN
ejpam-5295	454	6	and	and	CCONJ
ejpam-5295	454	7	alfréd	alfréd	PROPN
ejpam-5295	454	8	rényi	rényi	PROPN
ejpam-5295	454	9	.	.	PUNCT
ejpam-5295	455	1	on	on	ADP
ejpam-5295	455	2	two	two	NUM
ejpam-5295	455	3	problems	problem	NOUN
ejpam-5295	455	4	of	of	ADP
ejpam-5295	455	5	information	information	NOUN
ejpam-5295	455	6	theory	theory	NOUN
ejpam-5295	455	7	.	.	PUNCT
ejpam-5295	456	1	magyar	magyar	PROPN
ejpam-5295	456	2	tud	tud	PROPN
ejpam-5295	456	3	.	.	PROPN
ejpam-5295	456	4	akad	akad	PROPN
ejpam-5295	456	5	.	.	PUNCT
ejpam-5295	457	1	mat	mat	NOUN
ejpam-5295	457	2	.	.	PUNCT
ejpam-5295	457	3	kutató	kutató	PROPN
ejpam-5295	457	4	int	int	PROPN
ejpam-5295	457	5	.	.	PUNCT
ejpam-5295	458	1	közl	közl	PROPN
ejpam-5295	458	2	,	,	PUNCT
ejpam-5295	458	3	8(1	8(1	NOUN
ejpam-5295	458	4	-	-	SYM
ejpam-5295	458	5	2):229–243	2):229–243	NUM
ejpam-5295	458	6	,	,	PUNCT
ejpam-5295	458	7	1963	1963	NUM
ejpam-5295	458	8	.	.	PUNCT
ejpam-5295	459	1	[	[	X
ejpam-5295	459	2	8	8	NUM
ejpam-5295	459	3	]	]	X
ejpam-5295	459	4	frank	frank	PROPN
ejpam-5295	459	5	harary	harary	PROPN
ejpam-5295	459	6	and	and	CCONJ
ejpam-5295	459	7	robert	robert	PROPN
ejpam-5295	459	8	a	a	DET
ejpam-5295	459	9	melter	melter	NOUN
ejpam-5295	459	10	.	.	PUNCT
ejpam-5295	460	1	on	on	ADP
ejpam-5295	460	2	the	the	DET
ejpam-5295	460	3	metric	metric	ADJ
ejpam-5295	460	4	dimension	dimension	NOUN
ejpam-5295	460	5	of	of	ADP
ejpam-5295	460	6	a	a	DET
ejpam-5295	460	7	graph	graph	NOUN
ejpam-5295	460	8	.	.	PUNCT
ejpam-5295	460	9	ars	ars	PROPN
ejpam-5295	460	10	combinotria	combinotria	PROPN
ejpam-5295	460	11	,	,	PUNCT
ejpam-5295	460	12	2(1):191–195	2(1):191–195	NOUN
ejpam-5295	460	13	,	,	PUNCT
ejpam-5295	460	14	1976	1976	NUM
ejpam-5295	460	15	.	.	PUNCT
ejpam-5295	461	1	[	[	X
ejpam-5295	461	2	9	9	NUM
ejpam-5295	461	3	]	]	X
ejpam-5295	461	4	aleksander	aleksander	PROPN
ejpam-5295	461	5	kelenc	kelenc	PROPN
ejpam-5295	461	6	,	,	PUNCT
ejpam-5295	461	7	niko	niko	PROPN
ejpam-5295	461	8	tratnik	tratnik	PROPN
ejpam-5295	461	9	,	,	PUNCT
ejpam-5295	461	10	and	and	CCONJ
ejpam-5295	461	11	ismael	ismael	PROPN
ejpam-5295	461	12	g	g	PROPN
ejpam-5295	461	13	yero	yero	PROPN
ejpam-5295	461	14	.	.	PUNCT
ejpam-5295	462	1	uniquely	uniquely	ADV
ejpam-5295	462	2	identifying	identify	VERB
ejpam-5295	462	3	the	the	DET
ejpam-5295	462	4	edges	edge	NOUN
ejpam-5295	462	5	of	of	ADP
ejpam-5295	462	6	a	a	DET
ejpam-5295	462	7	graph	graph	NOUN
ejpam-5295	462	8	:	:	PUNCT
ejpam-5295	462	9	the	the	DET
ejpam-5295	462	10	edge	edge	NOUN
ejpam-5295	462	11	metric	metric	ADJ
ejpam-5295	462	12	dimension	dimension	NOUN
ejpam-5295	462	13	.	.	PUNCT
ejpam-5295	463	1	discrete	discrete	ADJ
ejpam-5295	463	2	applied	apply	VERB
ejpam-5295	463	3	mathematics	mathematic	NOUN
ejpam-5295	463	4	,	,	PUNCT
ejpam-5295	463	5	251:204–220	251:204–220	NUM
ejpam-5295	463	6	,	,	PUNCT
ejpam-5295	463	7	2018	2018	NUM
ejpam-5295	463	8	.	.	PUNCT
ejpam-5295	464	1	[	[	X
ejpam-5295	464	2	10	10	NUM
ejpam-5295	464	3	]	]	X
ejpam-5295	464	4	samir	samir	PROPN
ejpam-5295	464	5	khuller	khuller	PROPN
ejpam-5295	464	6	,	,	PUNCT
ejpam-5295	464	7	balaji	balaji	PROPN
ejpam-5295	464	8	raghavachari	raghavachari	PROPN
ejpam-5295	464	9	,	,	PUNCT
ejpam-5295	464	10	and	and	CCONJ
ejpam-5295	464	11	azriel	azriel	PROPN
ejpam-5295	464	12	rosenfeld	rosenfeld	PROPN
ejpam-5295	464	13	.	.	PUNCT
ejpam-5295	464	14	landmarks	landmark	NOUN
ejpam-5295	464	15	in	in	ADP
ejpam-5295	464	16	graphs	graph	NOUN
ejpam-5295	464	17	.	.	PUNCT
ejpam-5295	465	1	discrete	discrete	ADJ
ejpam-5295	465	2	applied	apply	VERB
ejpam-5295	465	3	mathematics	mathematic	NOUN
ejpam-5295	465	4	,	,	PUNCT
ejpam-5295	465	5	70(3):217–229	70(3):217–229	PROPN
ejpam-5295	465	6	,	,	PUNCT
ejpam-5295	465	7	1996	1996	NUM
ejpam-5295	465	8	.	.	PUNCT
ejpam-5295	466	1	[	[	X
ejpam-5295	466	2	11	11	NUM
ejpam-5295	466	3	]	]	PUNCT
ejpam-5295	466	4	ali	ali	PROPN
ejpam-5295	466	5	na	na	AUX
ejpam-5295	466	6	koam	koam	PROPN
ejpam-5295	466	7	and	and	CCONJ
ejpam-5295	466	8	ali	ali	PROPN
ejpam-5295	466	9	ahmad	ahmad	PROPN
ejpam-5295	466	10	.	.	PUNCT
ejpam-5295	467	1	barycentric	barycentric	ADJ
ejpam-5295	467	2	subdivision	subdivision	NOUN
ejpam-5295	467	3	of	of	ADP
ejpam-5295	467	4	cayley	cayley	ADJ
ejpam-5295	467	5	graphs	graph	NOUN
ejpam-5295	467	6	with	with	ADP
ejpam-5295	467	7	constant	constant	ADJ
ejpam-5295	467	8	edge	edge	NOUN
ejpam-5295	467	9	metric	metric	ADJ
ejpam-5295	467	10	dimension	dimension	NOUN
ejpam-5295	467	11	.	.	PUNCT
ejpam-5295	468	1	ieee	ieee	NOUN
ejpam-5295	468	2	access	access	NOUN
ejpam-5295	468	3	,	,	PUNCT
ejpam-5295	468	4	8:80624–80628	8:80624–80628	NUM
ejpam-5295	468	5	,	,	PUNCT
ejpam-5295	468	6	2020	2020	NUM
ejpam-5295	468	7	.	.	PUNCT
ejpam-5295	469	1	[	[	X
ejpam-5295	469	2	12	12	NUM
ejpam-5295	469	3	]	]	PUNCT
ejpam-5295	469	4	dorota	dorota	PROPN
ejpam-5295	469	5	kuziak	kuziak	PROPN
ejpam-5295	469	6	.	.	PUNCT
ejpam-5295	470	1	strong	strong	ADJ
ejpam-5295	470	2	resolvability	resolvability	NOUN
ejpam-5295	470	3	in	in	ADP
ejpam-5295	470	4	product	product	NOUN
ejpam-5295	470	5	graphs	graph	NOUN
ejpam-5295	470	6	.	.	PUNCT
ejpam-5295	471	1	in	in	ADP
ejpam-5295	471	2	1st	1st	NOUN
ejpam-5295	471	3	urv	urv	ADP
ejpam-5295	471	4	doctoral	doctoral	ADJ
ejpam-5295	471	5	workshop	workshop	NOUN
ejpam-5295	471	6	in	in	ADP
ejpam-5295	471	7	computer	computer	NOUN
ejpam-5295	471	8	science	science	NOUN
ejpam-5295	471	9	and	and	CCONJ
ejpam-5295	471	10	mathematics	mathematic	NOUN
ejpam-5295	471	11	,	,	PUNCT
ejpam-5295	471	12	page	page	NOUN
ejpam-5295	471	13	41	41	NUM
ejpam-5295	471	14	.	.	PUNCT
ejpam-5295	472	1	publicacions	publicacion	NOUN
ejpam-5295	472	2	urv	urv	ADP
ejpam-5295	472	3	,	,	PUNCT
ejpam-5295	472	4	2014	2014	NUM
ejpam-5295	472	5	.	.	PUNCT
ejpam-5295	473	1	[	[	X
ejpam-5295	473	2	13	13	NUM
ejpam-5295	473	3	]	]	PUNCT
ejpam-5295	473	4	bernt	bernt	PROPN
ejpam-5295	473	5	lindström	lindström	PROPN
ejpam-5295	473	6	.	.	PUNCT
ejpam-5295	474	1	on	on	ADP
ejpam-5295	474	2	a	a	DET
ejpam-5295	474	3	combinatory	combinatory	ADJ
ejpam-5295	474	4	detection	detection	NOUN
ejpam-5295	474	5	problem	problem	NOUN
ejpam-5295	474	6	i.	i.	PROPN
ejpam-5295	474	7	a	a	DET
ejpam-5295	474	8	magyar	magyar	PROPN
ejpam-5295	474	9	tudományos	tudományos	PROPN
ejpam-5295	474	10	akadémia	akadémia	PROPN
ejpam-5295	474	11	matematikai	matematikai	NOUN
ejpam-5295	474	12	kutató	kutató	VERB
ejpam-5295	474	13	intézetének	intézetének	ADJ
ejpam-5295	474	14	közleményei	közleményei	ADP
ejpam-5295	474	15	,	,	PUNCT
ejpam-5295	474	16	9(1	9(1	NUM
ejpam-5295	474	17	-	-	PUNCT
ejpam-5295	474	18	2):195–207	2):195–207	NOUN
ejpam-5295	474	19	,	,	PUNCT
ejpam-5295	474	20	1964	1964	NUM
ejpam-5295	474	21	.	.	PUNCT
ejpam-5295	475	1	[	[	X
ejpam-5295	475	2	14	14	NUM
ejpam-5295	475	3	]	]	X
ejpam-5295	475	4	jia	jia	PROPN
ejpam-5295	475	5	-	-	PROPN
ejpam-5295	475	6	bao	bao	PROPN
ejpam-5295	475	7	liu	liu	PROPN
ejpam-5295	475	8	,	,	PUNCT
ejpam-5295	475	9	muhammad	muhammad	PROPN
ejpam-5295	475	10	faisal	faisal	PROPN
ejpam-5295	475	11	nadeem	nadeem	PROPN
ejpam-5295	475	12	,	,	PUNCT
ejpam-5295	475	13	hafiz	hafiz	PROPN
ejpam-5295	475	14	muhammad	muhammad	PROPN
ejpam-5295	475	15	afzal	afzal	PROPN
ejpam-5295	475	16	siddiqui	siddiqui	PROPN
ejpam-5295	475	17	,	,	PUNCT
ejpam-5295	475	18	and	and	CCONJ
ejpam-5295	475	19	wajiha	wajiha	VERB
ejpam-5295	475	20	nazir	nazir	PROPN
ejpam-5295	475	21	.	.	PUNCT
ejpam-5295	476	1	computing	compute	VERB
ejpam-5295	476	2	metric	metric	ADJ
ejpam-5295	476	3	dimension	dimension	NOUN
ejpam-5295	476	4	of	of	ADP
ejpam-5295	476	5	certain	certain	ADJ
ejpam-5295	476	6	families	family	NOUN
ejpam-5295	476	7	of	of	ADP
ejpam-5295	476	8	toeplitz	toeplitz	NOUN
ejpam-5295	476	9	graphs	graph	NOUN
ejpam-5295	476	10	.	.	PUNCT
ejpam-5295	477	1	ieee	ieee	NOUN
ejpam-5295	477	2	access	access	NOUN
ejpam-5295	477	3	,	,	PUNCT
ejpam-5295	477	4	7:126734–126741	7:126734–126741	NUM
ejpam-5295	477	5	,	,	PUNCT
ejpam-5295	477	6	2019	2019	NUM
ejpam-5295	477	7	.	.	PUNCT
ejpam-5295	478	1	[	[	X
ejpam-5295	478	2	15	15	NUM
ejpam-5295	478	3	]	]	X
ejpam-5295	478	4	jia	jia	PROPN
ejpam-5295	478	5	-	-	PROPN
ejpam-5295	478	6	bao	bao	PROPN
ejpam-5295	478	7	liu	liu	PROPN
ejpam-5295	478	8	,	,	PUNCT
ejpam-5295	478	9	ali	ali	PROPN
ejpam-5295	478	10	zafari	zafari	PROPN
ejpam-5295	478	11	,	,	PUNCT
ejpam-5295	478	12	and	and	CCONJ
ejpam-5295	478	13	hassan	hassan	PROPN
ejpam-5295	478	14	zarei	zarei	PROPN
ejpam-5295	478	15	.	.	PUNCT
ejpam-5295	479	1	metric	metric	ADJ
ejpam-5295	479	2	dimension	dimension	NOUN
ejpam-5295	479	3	,	,	PUNCT
ejpam-5295	479	4	minimal	minimal	ADJ
ejpam-5295	479	5	doubly	doubly	ADV
ejpam-5295	479	6	resolving	resolve	VERB
ejpam-5295	479	7	sets	set	NOUN
ejpam-5295	479	8	,	,	PUNCT
ejpam-5295	479	9	and	and	CCONJ
ejpam-5295	479	10	the	the	DET
ejpam-5295	479	11	strong	strong	ADJ
ejpam-5295	479	12	metric	metric	ADJ
ejpam-5295	479	13	dimension	dimension	NOUN
ejpam-5295	479	14	for	for	ADP
ejpam-5295	479	15	jellyfish	jellyfish	NOUN
ejpam-5295	479	16	graph	graph	NOUN
ejpam-5295	479	17	and	and	CCONJ
ejpam-5295	479	18	cocktail	cocktail	NOUN
ejpam-5295	479	19	party	party	NOUN
ejpam-5295	479	20	graph	graph	NOUN
ejpam-5295	479	21	.	.	PUNCT
ejpam-5295	480	1	complexity	complexity	NOUN
ejpam-5295	480	2	,	,	PUNCT
ejpam-5295	480	3	2020:1–7	2020:1–7	NUM
ejpam-5295	480	4	,	,	PUNCT
ejpam-5295	480	5	2020	2020	NUM
ejpam-5295	480	6	.	.	PUNCT
ejpam-5295	481	1	references	reference	NOUN
ejpam-5295	481	2	2072	2072	NUM
ejpam-5295	481	3	[	[	X
ejpam-5295	481	4	16	16	NUM
ejpam-5295	481	5	]	]	X
ejpam-5295	481	6	ali	ali	PROPN
ejpam-5295	481	7	murtaza	murtaza	PROPN
ejpam-5295	481	8	,	,	PUNCT
ejpam-5295	481	9	ali	ali	PROPN
ejpam-5295	481	10	gohar	gohar	PROPN
ejpam-5295	481	11	,	,	PUNCT
ejpam-5295	481	12	ali	ali	PROPN
ejpam-5295	481	13	usman	usman	PROPN
ejpam-5295	481	14	,	,	PUNCT
ejpam-5295	481	15	and	and	CCONJ
ejpam-5295	481	16	rahim	rahim	PROPN
ejpam-5295	481	17	mt	mt	PROPN
ejpam-5295	481	18	.	.	PROPN
ejpam-5295	482	1	on	on	ADP
ejpam-5295	482	2	cycle	cycle	NOUN
ejpam-5295	482	3	related	relate	VERB
ejpam-5295	482	4	graphs	graph	NOUN
ejpam-5295	482	5	with	with	ADP
ejpam-5295	482	6	constant	constant	ADJ
ejpam-5295	482	7	metric	metric	ADJ
ejpam-5295	482	8	dimension	dimension	NOUN
ejpam-5295	482	9	.	.	PUNCT
ejpam-5295	483	1	open	open	ADJ
ejpam-5295	483	2	journal	journal	NOUN
ejpam-5295	483	3	of	of	ADP
ejpam-5295	483	4	discrete	discrete	ADJ
ejpam-5295	483	5	mathematics	mathematic	NOUN
ejpam-5295	483	6	,	,	PUNCT
ejpam-5295	483	7	2012	2012	NUM
ejpam-5295	483	8	,	,	PUNCT
ejpam-5295	483	9	2012	2012	NUM
ejpam-5295	483	10	.	.	PUNCT
ejpam-5295	484	1	[	[	X
ejpam-5295	484	2	17	17	NUM
ejpam-5295	484	3	]	]	X
ejpam-5295	484	4	futaba	futaba	PROPN
ejpam-5295	484	5	okamoto	okamoto	PROPN
ejpam-5295	484	6	,	,	PUNCT
ejpam-5295	484	7	bryan	bryan	PROPN
ejpam-5295	484	8	phinezy	phinezy	PROPN
ejpam-5295	484	9	,	,	PUNCT
ejpam-5295	484	10	and	and	CCONJ
ejpam-5295	484	11	ping	ping	PROPN
ejpam-5295	484	12	zhang	zhang	PROPN
ejpam-5295	484	13	.	.	PUNCT
ejpam-5295	485	1	the	the	DET
ejpam-5295	485	2	local	local	ADJ
ejpam-5295	485	3	metric	metric	ADJ
ejpam-5295	485	4	dimension	dimension	NOUN
ejpam-5295	485	5	of	of	ADP
ejpam-5295	485	6	a	a	DET
ejpam-5295	485	7	graph	graph	NOUN
ejpam-5295	485	8	.	.	PUNCT
ejpam-5295	486	1	mathematica	mathematica	PROPN
ejpam-5295	486	2	bohemica	bohemica	PROPN
ejpam-5295	486	3	,	,	PUNCT
ejpam-5295	486	4	135(3):239–255	135(3):239–255	NUM
ejpam-5295	486	5	,	,	PUNCT
ejpam-5295	486	6	2010	2010	NUM
ejpam-5295	486	7	.	.	PUNCT
ejpam-5295	487	1	[	[	X
ejpam-5295	487	2	18	18	NUM
ejpam-5295	487	3	]	]	X
ejpam-5295	487	4	hassan	hassan	PROPN
ejpam-5295	487	5	raza	raza	PROPN
ejpam-5295	487	6	and	and	CCONJ
ejpam-5295	487	7	ying	ying	PROPN
ejpam-5295	487	8	ji	ji	PROPN
ejpam-5295	487	9	.	.	PUNCT
ejpam-5295	488	1	computing	compute	VERB
ejpam-5295	488	2	the	the	DET
ejpam-5295	488	3	mixed	mixed	ADJ
ejpam-5295	488	4	metric	metric	ADJ
ejpam-5295	488	5	dimension	dimension	NOUN
ejpam-5295	488	6	of	of	ADP
ejpam-5295	488	7	a	a	DET
ejpam-5295	488	8	generalized	generalized	ADJ
ejpam-5295	488	9	petersen	petersen	NOUN
ejpam-5295	488	10	graph	graph	NOUN
ejpam-5295	488	11	p	p	PROPN
ejpam-5295	488	12	(	(	PUNCT
ejpam-5295	488	13	n	n	CCONJ
ejpam-5295	488	14	,	,	PUNCT
ejpam-5295	488	15	2	2	NUM
ejpam-5295	488	16	)	)	PUNCT
ejpam-5295	488	17	.	.	PUNCT
ejpam-5295	489	1	frontiers	frontier	NOUN
ejpam-5295	489	2	in	in	ADP
ejpam-5295	489	3	physics	physics	PROPN
ejpam-5295	489	4	,	,	PUNCT
ejpam-5295	489	5	8:211	8:211	NUM
ejpam-5295	489	6	,	,	PUNCT
ejpam-5295	489	7	2020	2020	NUM
ejpam-5295	489	8	.	.	PUNCT
ejpam-5295	490	1	[	[	X
ejpam-5295	490	2	19	19	NUM
ejpam-5295	490	3	]	]	X
ejpam-5295	490	4	hassan	hassan	PROPN
ejpam-5295	490	5	raza	raza	PROPN
ejpam-5295	490	6	,	,	PUNCT
ejpam-5295	490	7	ying	ying	PROPN
ejpam-5295	490	8	ji	ji	PROPN
ejpam-5295	490	9	,	,	PUNCT
ejpam-5295	490	10	and	and	CCONJ
ejpam-5295	490	11	shaojian	shaojian	PROPN
ejpam-5295	490	12	qu	qu	PROPN
ejpam-5295	490	13	.	.	PROPN
ejpam-5295	490	14	on	on	ADP
ejpam-5295	490	15	mixed	mixed	ADJ
ejpam-5295	490	16	metric	metric	ADJ
ejpam-5295	490	17	dimension	dimension	NOUN
ejpam-5295	490	18	of	of	ADP
ejpam-5295	490	19	some	some	DET
ejpam-5295	490	20	path	path	NOUN
ejpam-5295	490	21	related	relate	VERB
ejpam-5295	490	22	graphs	graph	NOUN
ejpam-5295	490	23	.	.	PUNCT
ejpam-5295	491	1	ieee	ieee	NOUN
ejpam-5295	491	2	access	access	NOUN
ejpam-5295	491	3	,	,	PUNCT
ejpam-5295	491	4	8:188146–188153	8:188146–188153	NUM
ejpam-5295	491	5	,	,	PUNCT
ejpam-5295	491	6	2020	2020	NUM
ejpam-5295	491	7	.	.	PUNCT
ejpam-5295	492	1	[	[	X
ejpam-5295	492	2	20	20	NUM
ejpam-5295	492	3	]	]	X
ejpam-5295	492	4	hassan	hassan	PROPN
ejpam-5295	492	5	raza	raza	PROPN
ejpam-5295	492	6	,	,	PUNCT
ejpam-5295	492	7	jia	jia	PROPN
ejpam-5295	492	8	-	-	PROPN
ejpam-5295	492	9	bao	bao	PROPN
ejpam-5295	492	10	liu	liu	PROPN
ejpam-5295	492	11	,	,	PUNCT
ejpam-5295	492	12	and	and	CCONJ
ejpam-5295	492	13	shaojian	shaojian	PROPN
ejpam-5295	492	14	qu	qu	PROPN
ejpam-5295	492	15	.	.	PROPN
ejpam-5295	492	16	on	on	ADP
ejpam-5295	492	17	mixed	mixed	ADJ
ejpam-5295	492	18	metric	metric	ADJ
ejpam-5295	492	19	dimension	dimension	NOUN
ejpam-5295	492	20	of	of	ADP
ejpam-5295	492	21	rotationally	rotationally	ADV
ejpam-5295	492	22	symmetric	symmetric	ADJ
ejpam-5295	492	23	graphs	graph	NOUN
ejpam-5295	492	24	.	.	PUNCT
ejpam-5295	493	1	ieee	ieee	NOUN
ejpam-5295	493	2	access	access	NOUN
ejpam-5295	493	3	,	,	PUNCT
ejpam-5295	493	4	8:11560–11569	8:11560–11569	NUM
ejpam-5295	493	5	,	,	PUNCT
ejpam-5295	493	6	2019	2019	NUM
ejpam-5295	493	7	.	.	PUNCT
ejpam-5295	494	1	[	[	X
ejpam-5295	494	2	21	21	NUM
ejpam-5295	494	3	]	]	X
ejpam-5295	494	4	zahid	zahid	PROPN
ejpam-5295	494	5	raza	raza	PROPN
ejpam-5295	494	6	and	and	CCONJ
ejpam-5295	494	7	ms	ms	PROPN
ejpam-5295	494	8	bataineh	bataineh	PROPN
ejpam-5295	494	9	.	.	PUNCT
ejpam-5295	495	1	the	the	DET
ejpam-5295	495	2	comparative	comparative	ADJ
ejpam-5295	495	3	analysis	analysis	NOUN
ejpam-5295	495	4	of	of	ADP
ejpam-5295	495	5	metric	metric	ADJ
ejpam-5295	495	6	and	and	CCONJ
ejpam-5295	495	7	edge	edge	VERB
ejpam-5295	495	8	metric	metric	ADJ
ejpam-5295	495	9	dimension	dimension	NOUN
ejpam-5295	495	10	of	of	ADP
ejpam-5295	495	11	some	some	DET
ejpam-5295	495	12	subdivisions	subdivision	NOUN
ejpam-5295	495	13	of	of	ADP
ejpam-5295	495	14	the	the	DET
ejpam-5295	495	15	wheel	wheel	NOUN
ejpam-5295	495	16	graph	graph	NOUN
ejpam-5295	495	17	.	.	PUNCT
ejpam-5295	496	1	asian	asian	ADJ
ejpam-5295	496	2	-	-	PUNCT
ejpam-5295	496	3	european	european	ADJ
ejpam-5295	496	4	journal	journal	NOUN
ejpam-5295	496	5	of	of	ADP
ejpam-5295	496	6	mathematics	mathematic	NOUN
ejpam-5295	496	7	,	,	PUNCT
ejpam-5295	496	8	14(04):2150062	14(04):2150062	NUM
ejpam-5295	496	9	,	,	PUNCT
ejpam-5295	496	10	2021	2021	NUM
ejpam-5295	496	11	.	.	PUNCT
ejpam-5295	497	1	[	[	X
ejpam-5295	497	2	22	22	NUM
ejpam-5295	497	3	]	]	X
ejpam-5295	497	4	laxman	laxman	PROPN
ejpam-5295	497	5	saha	saha	PROPN
ejpam-5295	497	6	,	,	PUNCT
ejpam-5295	497	7	bapan	bapan	PROPN
ejpam-5295	497	8	das	das	PROPN
ejpam-5295	497	9	,	,	PUNCT
ejpam-5295	497	10	kalishankar	kalishankar	PROPN
ejpam-5295	497	11	tiwary	tiwary	PROPN
ejpam-5295	497	12	,	,	PUNCT
ejpam-5295	497	13	kinkar	kinkar	PROPN
ejpam-5295	497	14	chandra	chandra	PROPN
ejpam-5295	497	15	das	das	PROPN
ejpam-5295	497	16	,	,	PUNCT
ejpam-5295	497	17	and	and	CCONJ
ejpam-5295	497	18	yilun	yilun	PROPN
ejpam-5295	497	19	shang	shang	PROPN
ejpam-5295	497	20	.	.	PUNCT
ejpam-5295	498	1	optimal	optimal	ADJ
ejpam-5295	498	2	multi	multi	ADJ
ejpam-5295	498	3	-	-	ADJ
ejpam-5295	498	4	level	level	ADJ
ejpam-5295	498	5	fault	fault	NOUN
ejpam-5295	498	6	-	-	PUNCT
ejpam-5295	498	7	tolerant	tolerant	ADJ
ejpam-5295	498	8	resolving	resolving	NOUN
ejpam-5295	498	9	sets	set	NOUN
ejpam-5295	498	10	of	of	ADP
ejpam-5295	498	11	circulant	circulant	ADJ
ejpam-5295	498	12	graph	graph	NOUN
ejpam-5295	498	13	c(n	c(n	PROPN
ejpam-5295	498	14	:	:	PUNCT
ejpam-5295	498	15	1	1	NUM
ejpam-5295	498	16	,	,	PUNCT
ejpam-5295	498	17	2	2	NUM
ejpam-5295	498	18	)	)	PUNCT
ejpam-5295	498	19	.	.	PUNCT
ejpam-5295	499	1	mathematics	mathematic	NOUN
ejpam-5295	499	2	,	,	PUNCT
ejpam-5295	499	3	11(8):1896	11(8):1896	NOUN
ejpam-5295	499	4	,	,	PUNCT
ejpam-5295	499	5	2023	2023	NUM
ejpam-5295	499	6	.	.	PUNCT
ejpam-5295	500	1	[	[	X
ejpam-5295	500	2	23	23	NUM
ejpam-5295	500	3	]	]	X
ejpam-5295	500	4	laxman	laxman	PROPN
ejpam-5295	500	5	saha	saha	PROPN
ejpam-5295	500	6	,	,	PUNCT
ejpam-5295	500	7	rupen	rupen	VERB
ejpam-5295	500	8	lama	lama	PROPN
ejpam-5295	500	9	,	,	PUNCT
ejpam-5295	500	10	kalishankar	kalishankar	PROPN
ejpam-5295	500	11	tiwary	tiwary	ADJ
ejpam-5295	500	12	,	,	PUNCT
ejpam-5295	500	13	kinkar	kinkar	PROPN
ejpam-5295	500	14	chandra	chandra	PROPN
ejpam-5295	500	15	das	das	PROPN
ejpam-5295	500	16	,	,	PUNCT
ejpam-5295	500	17	and	and	CCONJ
ejpam-5295	500	18	yilun	yilun	PROPN
ejpam-5295	500	19	shang	shang	PROPN
ejpam-5295	500	20	.	.	PUNCT
ejpam-5295	501	1	fault	fault	NOUN
ejpam-5295	501	2	-	-	PUNCT
ejpam-5295	501	3	tolerant	tolerant	ADJ
ejpam-5295	501	4	metric	metric	ADJ
ejpam-5295	501	5	dimension	dimension	NOUN
ejpam-5295	501	6	of	of	ADP
ejpam-5295	501	7	circulant	circulant	ADJ
ejpam-5295	501	8	graphs	graph	NOUN
ejpam-5295	501	9	.	.	PUNCT
ejpam-5295	502	1	mathematics	mathematic	NOUN
ejpam-5295	502	2	,	,	PUNCT
ejpam-5295	502	3	10(1):124	10(1):124	NOUN
ejpam-5295	502	4	,	,	PUNCT
ejpam-5295	502	5	2022	2022	NUM
ejpam-5295	502	6	.	.	PUNCT
ejpam-5295	503	1	[	[	X
ejpam-5295	503	2	24	24	NUM
ejpam-5295	503	3	]	]	X
ejpam-5295	503	4	peter	peter	PROPN
ejpam-5295	503	5	j	j	PROPN
ejpam-5295	503	6	slater	slater	PROPN
ejpam-5295	503	7	.	.	PUNCT
ejpam-5295	504	1	leaves	leave	NOUN
ejpam-5295	504	2	of	of	ADP
ejpam-5295	504	3	trees	tree	NOUN
ejpam-5295	504	4	.	.	PUNCT
ejpam-5295	505	1	congr	congr	PROPN
ejpam-5295	505	2	.	.	PUNCT
ejpam-5295	506	1	numer	numer	PROPN
ejpam-5295	506	2	,	,	PUNCT
ejpam-5295	506	3	14(37):549–559	14(37):549–559	NUM
ejpam-5295	506	4	,	,	PUNCT
ejpam-5295	506	5	1975	1975	NUM
ejpam-5295	506	6	.	.	PUNCT
ejpam-5295	507	1	[	[	X
ejpam-5295	507	2	25	25	NUM
ejpam-5295	507	3	]	]	X
ejpam-5295	507	4	bin	bin	PROPN
ejpam-5295	507	5	yang	yang	PROPN
ejpam-5295	507	6	,	,	PUNCT
ejpam-5295	507	7	muhammad	muhammad	PROPN
ejpam-5295	507	8	rafiullah	rafiullah	PROPN
ejpam-5295	507	9	,	,	PUNCT
ejpam-5295	507	10	hafiz	hafiz	PROPN
ejpam-5295	507	11	muhammad	muhammad	PROPN
ejpam-5295	507	12	afzal	afzal	PROPN
ejpam-5295	507	13	siddiqui	siddiqui	PROPN
ejpam-5295	507	14	,	,	PUNCT
ejpam-5295	507	15	and	and	CCONJ
ejpam-5295	507	16	sarfraz	sarfraz	PROPN
ejpam-5295	507	17	ahmad	ahmad	PROPN
ejpam-5295	507	18	.	.	PUNCT
ejpam-5295	508	1	on	on	ADP
ejpam-5295	508	2	resolvability	resolvability	NOUN
ejpam-5295	508	3	parameters	parameter	NOUN
ejpam-5295	508	4	of	of	ADP
ejpam-5295	508	5	some	some	DET
ejpam-5295	508	6	wheel	wheel	NOUN
ejpam-5295	508	7	-	-	PUNCT
ejpam-5295	508	8	related	relate	VERB
ejpam-5295	508	9	graphs	graph	NOUN
ejpam-5295	508	10	.	.	PUNCT
ejpam-5295	509	1	journal	journal	NOUN
ejpam-5295	509	2	of	of	ADP
ejpam-5295	509	3	chemistry	chemistry	NOUN
ejpam-5295	509	4	,	,	PUNCT
ejpam-5295	509	5	2019:1–9	2019:1–9	PROPN
ejpam-5295	509	6	,	,	PUNCT
ejpam-5295	509	7	2019	2019	NUM
ejpam-5295	509	8	.	.	PUNCT
ejpam-5295	510	1	[	[	X
ejpam-5295	510	2	26	26	NUM
ejpam-5295	510	3	]	]	X
ejpam-5295	510	4	ismael	ismael	PROPN
ejpam-5295	510	5	gonzález	gonzález	PROPN
ejpam-5295	510	6	yero	yero	PROPN
ejpam-5295	510	7	.	.	PUNCT
ejpam-5295	510	8	vertices	vertex	NOUN
ejpam-5295	510	9	,	,	PUNCT
ejpam-5295	510	10	edges	edge	NOUN
ejpam-5295	510	11	,	,	PUNCT
ejpam-5295	510	12	distances	distance	NOUN
ejpam-5295	510	13	and	and	CCONJ
ejpam-5295	510	14	metric	metric	ADJ
ejpam-5295	510	15	dimension	dimension	NOUN
ejpam-5295	510	16	in	in	ADP
ejpam-5295	510	17	graphs	graph	NOUN
ejpam-5295	510	18	.	.	PUNCT
ejpam-5295	511	1	electronic	electronic	ADJ
ejpam-5295	511	2	notes	note	NOUN
ejpam-5295	511	3	in	in	ADP
ejpam-5295	511	4	discrete	discrete	ADJ
ejpam-5295	511	5	mathematics	mathematic	NOUN
ejpam-5295	511	6	,	,	PUNCT
ejpam-5295	511	7	55:191–194	55:191–194	PROPN
ejpam-5295	511	8	,	,	PUNCT
ejpam-5295	511	9	2016	2016	NUM
ejpam-5295	511	10	.	.	PUNCT
ejpam-5295	512	1	[	[	X
ejpam-5295	512	2	27	27	NUM
ejpam-5295	512	3	]	]	X
ejpam-5295	512	4	awais	awais	PROPN
ejpam-5295	512	5	yousaf	yousaf	PROPN
ejpam-5295	512	6	,	,	PUNCT
ejpam-5295	512	7	hanan	hanan	PROPN
ejpam-5295	512	8	alolaiyan	alolaiyan	PROPN
ejpam-5295	512	9	,	,	PUNCT
ejpam-5295	512	10	muhammad	muhammad	PROPN
ejpam-5295	512	11	nadeem	nadeem	PROPN
ejpam-5295	512	12	,	,	PUNCT
ejpam-5295	512	13	and	and	CCONJ
ejpam-5295	512	14	abdul	abdul	PROPN
ejpam-5295	512	15	razaq	razaq	PROPN
ejpam-5295	512	16	.	.	PUNCT
ejpam-5295	513	1	retracted	retracted	ADJ
ejpam-5295	513	2	article	article	NOUN
ejpam-5295	513	3	:	:	PUNCT
ejpam-5295	513	4	topological	topological	ADJ
ejpam-5295	513	5	analysis	analysis	NOUN
ejpam-5295	513	6	of	of	ADP
ejpam-5295	513	7	carbon	carbon	NOUN
ejpam-5295	513	8	and	and	CCONJ
ejpam-5295	513	9	boron	boron	NOUN
ejpam-5295	513	10	nitride	nitride	NOUN
ejpam-5295	513	11	nanotubes	nanotube	NOUN
ejpam-5295	513	12	.	.	PUNCT
ejpam-5295	514	1	scientific	scientific	ADJ
ejpam-5295	514	2	reports	report	NOUN
ejpam-5295	514	3	,	,	PUNCT
ejpam-5295	514	4	10(1):1–9	10(1):1–9	NUM
ejpam-5295	514	5	,	,	PUNCT
ejpam-5295	514	6	2020	2020	NUM
ejpam-5295	514	7	.	.	PUNCT
ejpam-5295	515	1	[	[	X
ejpam-5295	515	2	28	28	NUM
ejpam-5295	515	3	]	]	X
ejpam-5295	515	4	yuezhong	yuezhong	PROPN
ejpam-5295	515	5	zhang	zhang	PROPN
ejpam-5295	515	6	and	and	CCONJ
ejpam-5295	515	7	suogang	suogang	PROPN
ejpam-5295	515	8	gao	gao	PROPN
ejpam-5295	515	9	.	.	PUNCT
ejpam-5295	516	1	on	on	ADP
ejpam-5295	516	2	the	the	DET
ejpam-5295	516	3	edge	edge	NOUN
ejpam-5295	516	4	metric	metric	ADJ
ejpam-5295	516	5	dimension	dimension	NOUN
ejpam-5295	516	6	of	of	ADP
ejpam-5295	516	7	convex	convex	ADJ
ejpam-5295	516	8	polytopes	polytope	NOUN
ejpam-5295	516	9	and	and	CCONJ
ejpam-5295	516	10	its	its	PRON
ejpam-5295	516	11	related	related	ADJ
ejpam-5295	516	12	graphs	graph	NOUN
ejpam-5295	516	13	.	.	PUNCT
ejpam-5295	517	1	journal	journal	NOUN
ejpam-5295	517	2	of	of	ADP
ejpam-5295	517	3	combinatorial	combinatorial	ADJ
ejpam-5295	517	4	optimization	optimization	NOUN
ejpam-5295	517	5	,	,	PUNCT
ejpam-5295	517	6	39(2):334–350	39(2):334–350	PROPN
ejpam-5295	517	7	,	,	PUNCT
ejpam-5295	517	8	2020	2020	NUM
ejpam-5295	517	9	.	.	PUNCT