id	sid	tid	token	lemma	pos
ejpam-5614	1	1	european	european	PROPN
ejpam-5614	1	2	journal	journal	PROPN
ejpam-5614	1	3	of	of	ADP
ejpam-5614	1	4	pure	pure	ADJ
ejpam-5614	1	5	and	and	CCONJ
ejpam-5614	1	6	applied	applied	ADJ
ejpam-5614	1	7	mathematics	mathematic	NOUN
ejpam-5614	1	8	2025	2025	NUM
ejpam-5614	1	9	,	,	PUNCT
ejpam-5614	1	10	vol	vol	NOUN
ejpam-5614	1	11	.	.	PROPN
ejpam-5614	1	12	18	18	NUM
ejpam-5614	1	13	,	,	PUNCT
ejpam-5614	1	14	issue	issue	NOUN
ejpam-5614	1	15	1	1	NUM
ejpam-5614	1	16	,	,	PUNCT
ejpam-5614	1	17	article	article	NOUN
ejpam-5614	1	18	number	number	NOUN
ejpam-5614	1	19	5614	5614	NUM
ejpam-5614	1	20	issn	issn	PROPN
ejpam-5614	1	21	1307	1307	NUM
ejpam-5614	1	22	-	-	SYM
ejpam-5614	1	23	5543	5543	NUM
ejpam-5614	1	24	–	–	PUNCT
ejpam-5614	1	25	ejpam.com	ejpam.com	X
ejpam-5614	1	26	published	publish	VERB
ejpam-5614	1	27	by	by	ADP
ejpam-5614	1	28	new	new	PROPN
ejpam-5614	1	29	york	york	PROPN
ejpam-5614	1	30	business	business	PROPN
ejpam-5614	1	31	global	global	ADJ
ejpam-5614	1	32	graph	graph	NOUN
ejpam-5614	1	33	-	-	PUNCT
ejpam-5614	1	34	based	base	VERB
ejpam-5614	1	35	approach	approach	NOUN
ejpam-5614	1	36	to	to	ADP
ejpam-5614	1	37	the	the	DET
ejpam-5614	1	38	radio	radio	NOUN
ejpam-5614	1	39	assignment	assignment	NOUN
ejpam-5614	1	40	problem	problem	NOUN
ejpam-5614	1	41	in	in	ADP
ejpam-5614	1	42	wireless	wireless	ADJ
ejpam-5614	1	43	communication	communication	NOUN
ejpam-5614	1	44	networks	network	NOUN
ejpam-5614	1	45	with	with	ADP
ejpam-5614	1	46	applications	application	NOUN
ejpam-5614	1	47	in	in	ADP
ejpam-5614	1	48	cryptography	cryptography	NOUN
ejpam-5614	1	49	nawal	nawal	PROPN
ejpam-5614	1	50	m.	m.	PROPN
ejpam-5614	1	51	noureldeen1,2	noureldeen1,2	PROPN
ejpam-5614	1	52	,	,	PUNCT
ejpam-5614	1	53	elsayed	elsaye	VERB
ejpam-5614	1	54	badr3,4,5	badr3,4,5	NUM
ejpam-5614	1	55	,	,	PUNCT
ejpam-5614	1	56	ismail	ismail	NOUN
ejpam-5614	1	57	m.	m.	NOUN
ejpam-5614	2	1	hagag6	hagag6	PROPN
ejpam-5614	2	2	,	,	PUNCT
ejpam-5614	2	3	hanan	hanan	NOUN
ejpam-5614	2	4	shabana7,∗	shabana7,∗	PROPN
ejpam-5614	2	5	1	1	NUM
ejpam-5614	2	6	department	department	NOUN
ejpam-5614	2	7	of	of	ADP
ejpam-5614	2	8	mathematics	mathematic	NOUN
ejpam-5614	2	9	,	,	PUNCT
ejpam-5614	2	10	college	college	NOUN
ejpam-5614	2	11	of	of	ADP
ejpam-5614	2	12	science	science	PROPN
ejpam-5614	2	13	,	,	PUNCT
ejpam-5614	2	14	taibah	taibah	PROPN
ejpam-5614	2	15	university	university	PROPN
ejpam-5614	2	16	,	,	PUNCT
ejpam-5614	2	17	madinah	madinah	PROPN
ejpam-5614	2	18	,	,	PUNCT
ejpam-5614	2	19	kingdom	kingdom	NOUN
ejpam-5614	2	20	of	of	ADP
ejpam-5614	2	21	saudi	saudi	PROPN
ejpam-5614	2	22	arabia	arabia	PROPN
ejpam-5614	2	23	2	2	NUM
ejpam-5614	2	24	department	department	NOUN
ejpam-5614	2	25	of	of	ADP
ejpam-5614	2	26	mathematics	mathematic	NOUN
ejpam-5614	2	27	,	,	PUNCT
ejpam-5614	2	28	women	woman	NOUN
ejpam-5614	2	29	’s	’s	PART
ejpam-5614	2	30	college	college	PROPN
ejpam-5614	2	31	of	of	ADP
ejpam-5614	2	32	arts	art	NOUN
ejpam-5614	2	33	,	,	PUNCT
ejpam-5614	2	34	science	science	NOUN
ejpam-5614	2	35	and	and	CCONJ
ejpam-5614	2	36	education	education	NOUN
ejpam-5614	2	37	,	,	PUNCT
ejpam-5614	2	38	ain	ain	PROPN
ejpam-5614	2	39	shams	shams	PROPN
ejpam-5614	2	40	university	university	PROPN
ejpam-5614	2	41	,	,	PUNCT
ejpam-5614	2	42	egypt	egypt	PROPN
ejpam-5614	2	43	3	3	NUM
ejpam-5614	2	44	scientific	scientific	ADJ
ejpam-5614	2	45	computing	compute	VERB
ejpam-5614	2	46	department	department	NOUN
ejpam-5614	2	47	,	,	PUNCT
ejpam-5614	2	48	faculty	faculty	NOUN
ejpam-5614	2	49	of	of	ADP
ejpam-5614	2	50	computers	computer	NOUN
ejpam-5614	2	51	and	and	CCONJ
ejpam-5614	2	52	artificial	artificial	ADJ
ejpam-5614	2	53	intelligence	intelligence	NOUN
ejpam-5614	2	54	,	,	PUNCT
ejpam-5614	2	55	benha	benha	VERB
ejpam-5614	2	56	university	university	NOUN
ejpam-5614	2	57	,	,	PUNCT
ejpam-5614	2	58	benha	benha	NOUN
ejpam-5614	2	59	,	,	PUNCT
ejpam-5614	2	60	egypt	egypt	PROPN
ejpam-5614	2	61	4	4	NUM
ejpam-5614	2	62	the	the	DET
ejpam-5614	2	63	egyptian	egyptian	ADJ
ejpam-5614	2	64	school	school	NOUN
ejpam-5614	2	65	of	of	ADP
ejpam-5614	2	66	data	data	PROPN
ejpam-5614	2	67	science	science	NOUN
ejpam-5614	2	68	(	(	PUNCT
ejpam-5614	2	69	esds	esds	NOUN
ejpam-5614	2	70	)	)	PUNCT
ejpam-5614	2	71	,	,	PUNCT
ejpam-5614	2	72	benha	benha	NOUN
ejpam-5614	2	73	,	,	PUNCT
ejpam-5614	2	74	egypt	egypt	PROPN
ejpam-5614	2	75	5	5	NUM
ejpam-5614	2	76	department	department	NOUN
ejpam-5614	2	77	of	of	ADP
ejpam-5614	2	78	computer	computer	NOUN
ejpam-5614	2	79	science	science	NOUN
ejpam-5614	2	80	,	,	PUNCT
ejpam-5614	2	81	college	college	NOUN
ejpam-5614	2	82	of	of	ADP
ejpam-5614	2	83	information	information	NOUN
ejpam-5614	2	84	technology	technology	NOUN
ejpam-5614	2	85	,	,	PUNCT
ejpam-5614	2	86	misr	misr	PROPN
ejpam-5614	2	87	university	university	PROPN
ejpam-5614	2	88	for	for	ADP
ejpam-5614	2	89	science	science	NOUN
ejpam-5614	2	90	and	and	CCONJ
ejpam-5614	2	91	technology	technology	NOUN
ejpam-5614	2	92	,	,	PUNCT
ejpam-5614	2	93	giza	giza	PROPN
ejpam-5614	2	94	,	,	PUNCT
ejpam-5614	2	95	egypt	egypt	PROPN
ejpam-5614	2	96	6	6	NUM
ejpam-5614	2	97	information	information	NOUN
ejpam-5614	2	98	systems	system	NOUN
ejpam-5614	2	99	department	department	PROPN
ejpam-5614	2	100	,	,	PUNCT
ejpam-5614	2	101	el	el	PROPN
ejpam-5614	2	102	madina	madina	PROPN
ejpam-5614	2	103	higher	higher	PROPN
ejpam-5614	2	104	institute	institute	PROPN
ejpam-5614	2	105	of	of	ADP
ejpam-5614	2	106	administration	administration	PROPN
ejpam-5614	2	107	and	and	CCONJ
ejpam-5614	2	108	technology	technology	NOUN
ejpam-5614	2	109	,	,	PUNCT
ejpam-5614	2	110	egypt	egypt	PROPN
ejpam-5614	2	111	7	7	NUM
ejpam-5614	2	112	physics	physics	NOUN
ejpam-5614	2	113	and	and	CCONJ
ejpam-5614	2	114	engineering	engineering	NOUN
ejpam-5614	2	115	mathematics	mathematics	PROPN
ejpam-5614	2	116	department	department	NOUN
ejpam-5614	2	117	,	,	PUNCT
ejpam-5614	2	118	faculty	faculty	NOUN
ejpam-5614	2	119	of	of	ADP
ejpam-5614	2	120	electronic	electronic	ADJ
ejpam-5614	2	121	engineering	engineering	NOUN
ejpam-5614	2	122	,	,	PUNCT
ejpam-5614	2	123	menoufia	menoufia	PROPN
ejpam-5614	2	124	university	university	PROPN
ejpam-5614	2	125	,	,	PUNCT
ejpam-5614	2	126	menouf	menouf	PROPN
ejpam-5614	2	127	,	,	PUNCT
ejpam-5614	2	128	32952	32952	NUM
ejpam-5614	2	129	,	,	PUNCT
ejpam-5614	2	130	egypt	egypt	PROPN
ejpam-5614	2	131	abstract	abstract	PROPN
ejpam-5614	2	132	.	.	PUNCT
ejpam-5614	3	1	the	the	DET
ejpam-5614	3	2	radio	radio	NOUN
ejpam-5614	3	3	labeling	labeling	NOUN
ejpam-5614	3	4	problem	problem	NOUN
ejpam-5614	3	5	has	have	VERB
ejpam-5614	3	6	numerous	numerous	ADJ
ejpam-5614	3	7	applications	application	NOUN
ejpam-5614	3	8	including	include	VERB
ejpam-5614	3	9	military	military	ADJ
ejpam-5614	3	10	communications	communication	NOUN
ejpam-5614	3	11	,	,	PUNCT
ejpam-5614	3	12	satellite	satellite	NOUN
ejpam-5614	3	13	communication	communication	NOUN
ejpam-5614	3	14	,	,	PUNCT
ejpam-5614	3	15	mobile	mobile	ADJ
ejpam-5614	3	16	networks	network	NOUN
ejpam-5614	3	17	,	,	PUNCT
ejpam-5614	3	18	and	and	CCONJ
ejpam-5614	3	19	internet	internet	NOUN
ejpam-5614	3	20	technology	technology	NOUN
ejpam-5614	3	21	.	.	PUNCT
ejpam-5614	4	1	this	this	DET
ejpam-5614	4	2	issue	issue	NOUN
ejpam-5614	4	3	is	be	AUX
ejpam-5614	4	4	np	np	NOUN
ejpam-5614	4	5	-	-	PUNCT
ejpam-5614	4	6	hard	hard	ADJ
ejpam-5614	4	7	.	.	PUNCT
ejpam-5614	5	1	a	a	DET
ejpam-5614	5	2	rapid	rapid	ADJ
ejpam-5614	5	3	algorithm	algorithm	NOUN
ejpam-5614	5	4	for	for	ADP
ejpam-5614	5	5	determining	determine	VERB
ejpam-5614	5	6	the	the	DET
ejpam-5614	5	7	upper	upper	ADJ
ejpam-5614	5	8	bound	bind	VERB
ejpam-5614	5	9	of	of	ADP
ejpam-5614	5	10	the	the	DET
ejpam-5614	5	11	radio	radio	NOUN
ejpam-5614	5	12	number	number	NOUN
ejpam-5614	5	13	of	of	ADP
ejpam-5614	5	14	a	a	DET
ejpam-5614	5	15	given	give	VERB
ejpam-5614	5	16	graph	graph	NOUN
ejpam-5614	5	17	is	be	AUX
ejpam-5614	5	18	proposed	propose	VERB
ejpam-5614	5	19	in	in	ADP
ejpam-5614	5	20	this	this	DET
ejpam-5614	5	21	paper	paper	NOUN
ejpam-5614	5	22	.	.	PUNCT
ejpam-5614	6	1	the	the	DET
ejpam-5614	6	2	superior	superior	ADJ
ejpam-5614	6	3	performance	performance	NOUN
ejpam-5614	6	4	of	of	ADP
ejpam-5614	6	5	the	the	DET
ejpam-5614	6	6	proposed	propose	VERB
ejpam-5614	6	7	algorithm	algorithm	NOUN
ejpam-5614	6	8	is	be	AUX
ejpam-5614	6	9	attributed	attribute	VERB
ejpam-5614	6	10	to	to	ADP
ejpam-5614	6	11	saha	saha	NOUN
ejpam-5614	6	12	and	and	CCONJ
ejpam-5614	6	13	panigrahi	panigrahi	NOUN
ejpam-5614	6	14	(	(	PUNCT
ejpam-5614	6	15	2012	2012	NUM
ejpam-5614	6	16	)	)	PUNCT
ejpam-5614	6	17	.	.	PUNCT
ejpam-5614	7	1	the	the	DET
ejpam-5614	7	2	superior	superior	ADJ
ejpam-5614	7	3	performance	performance	NOUN
ejpam-5614	7	4	of	of	ADP
ejpam-5614	7	5	the	the	DET
ejpam-5614	7	6	proposed	propose	VERB
ejpam-5614	7	7	algorithm	algorithm	NOUN
ejpam-5614	7	8	in	in	ADP
ejpam-5614	7	9	terms	term	NOUN
ejpam-5614	7	10	of	of	ADP
ejpam-5614	7	11	cpu	cpu	NOUN
ejpam-5614	7	12	time	time	NOUN
ejpam-5614	7	13	can	can	AUX
ejpam-5614	7	14	be	be	AUX
ejpam-5614	7	15	attributed	attribute	VERB
ejpam-5614	7	16	to	to	ADP
ejpam-5614	7	17	badr	badr	PROPN
ejpam-5614	7	18	and	and	CCONJ
ejpam-5614	7	19	mousa(2019	mousa(2019	NUM
ejpam-5614	7	20	)	)	PUNCT
ejpam-5614	7	21	.	.	PUNCT
ejpam-5614	8	1	the	the	DET
ejpam-5614	8	2	mathematical	mathematical	ADJ
ejpam-5614	8	3	model	model	NOUN
ejpam-5614	8	4	demonstrates	demonstrate	VERB
ejpam-5614	8	5	that	that	SCONJ
ejpam-5614	8	6	the	the	DET
ejpam-5614	8	7	proposed	propose	VERB
ejpam-5614	8	8	algorithm	algorithm	NOUN
ejpam-5614	8	9	exhibits	exhibit	VERB
ejpam-5614	8	10	superior	superior	ADJ
ejpam-5614	8	11	performance	performance	NOUN
ejpam-5614	8	12	in	in	ADP
ejpam-5614	8	13	terms	term	NOUN
ejpam-5614	8	14	of	of	ADP
ejpam-5614	8	15	both	both	CCONJ
ejpam-5614	8	16	the	the	DET
ejpam-5614	8	17	maximum	maximum	ADJ
ejpam-5614	8	18	number	number	NOUN
ejpam-5614	8	19	of	of	ADP
ejpam-5614	8	20	radios	radio	NOUN
ejpam-5614	8	21	and	and	CCONJ
ejpam-5614	8	22	cpu	cpu	NOUN
ejpam-5614	8	23	time	time	NOUN
ejpam-5614	8	24	.	.	PUNCT
ejpam-5614	9	1	the	the	DET
ejpam-5614	9	2	proposed	propose	VERB
ejpam-5614	9	3	algorithm	algorithm	NOUN
ejpam-5614	9	4	is	be	AUX
ejpam-5614	9	5	ultimately	ultimately	ADV
ejpam-5614	9	6	assessed	assess	VERB
ejpam-5614	9	7	using	use	VERB
ejpam-5614	9	8	a	a	DET
ejpam-5614	9	9	collection	collection	NOUN
ejpam-5614	9	10	of	of	ADP
ejpam-5614	9	11	networks	network	NOUN
ejpam-5614	9	12	that	that	PRON
ejpam-5614	9	13	possess	possess	VERB
ejpam-5614	9	14	a	a	DET
ejpam-5614	9	15	range	range	NOUN
ejpam-5614	9	16	of	of	ADP
ejpam-5614	9	17	characteristics	characteristic	NOUN
ejpam-5614	9	18	.	.	PUNCT
ejpam-5614	10	1	besides	besides	SCONJ
ejpam-5614	10	2	that	that	PRON
ejpam-5614	10	3	,	,	PUNCT
ejpam-5614	10	4	we	we	PRON
ejpam-5614	10	5	present	present	VERB
ejpam-5614	10	6	the	the	DET
ejpam-5614	10	7	application	application	NOUN
ejpam-5614	10	8	of	of	ADP
ejpam-5614	10	9	such	such	ADJ
ejpam-5614	10	10	algorithm	algorithm	NOUN
ejpam-5614	10	11	in	in	ADP
ejpam-5614	10	12	cryptography	cryptography	NOUN
ejpam-5614	10	13	.	.	PUNCT
ejpam-5614	11	1	2020	2020	NUM
ejpam-5614	11	2	mathematics	mathematic	NOUN
ejpam-5614	11	3	subject	subject	NOUN
ejpam-5614	11	4	classifications	classification	NOUN
ejpam-5614	11	5	:	:	PUNCT
ejpam-5614	11	6	94a60	94a60	NUM
ejpam-5614	11	7	,	,	PUNCT
ejpam-5614	11	8	94a62	94a62	NUM
ejpam-5614	11	9	,	,	PUNCT
ejpam-5614	11	10	05b30	05b30	NOUN
ejpam-5614	11	11	,	,	PUNCT
ejpam-5614	11	12	0570	0570	NUM
ejpam-5614	11	13	key	key	ADJ
ejpam-5614	11	14	words	word	NOUN
ejpam-5614	11	15	and	and	CCONJ
ejpam-5614	11	16	phrases	phrase	NOUN
ejpam-5614	11	17	:	:	PUNCT
ejpam-5614	11	18	cryptography	cryptography	NOUN
ejpam-5614	11	19	,	,	PUNCT
ejpam-5614	11	20	graph	graph	NOUN
ejpam-5614	11	21	labeling	labeling	NOUN
ejpam-5614	11	22	,	,	PUNCT
ejpam-5614	11	23	mathematical	mathematical	ADJ
ejpam-5614	11	24	models	model	NOUN
ejpam-5614	11	25	,	,	PUNCT
ejpam-5614	11	26	np	np	NOUN
ejpam-5614	11	27	-	-	PUNCT
ejpam-5614	11	28	hard	hard	ADJ
ejpam-5614	11	29	problem	problem	NOUN
ejpam-5614	11	30	,	,	PUNCT
ejpam-5614	11	31	radio	radio	NOUN
ejpam-5614	11	32	labeling	labeling	NOUN
ejpam-5614	11	33	.	.	PUNCT
ejpam-5614	12	1	∗corresponding	∗corresponde	VERB
ejpam-5614	12	2	author	author	NOUN
ejpam-5614	12	3	.	.	PUNCT
ejpam-5614	13	1	doi	doi	NOUN
ejpam-5614	13	2	:	:	PUNCT
ejpam-5614	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5614	https://doi.org/10.29020/nybg.ejpam.v18i1.5614	ADJ
ejpam-5614	13	4	email	email	NOUN
ejpam-5614	13	5	addresses	address	NOUN
ejpam-5614	13	6	:	:	PUNCT
ejpam-5614	13	7	neldeen@taibahu.edu.sa	neldeen@taibahu.edu.sa	PROPN
ejpam-5614	13	8	(	(	PUNCT
ejpam-5614	13	9	n.	n.	PROPN
ejpam-5614	13	10	m.	m.	PROPN
ejpam-5614	13	11	noureldeen	noureldeen	PROPN
ejpam-5614	13	12	)	)	PUNCT
ejpam-5614	13	13	,	,	PUNCT
ejpam-5614	13	14	alsayed.badr@fci.bu.edu.eg	alsayed.badr@fci.bu.edu.eg	PROPN
ejpam-5614	13	15	(	(	PUNCT
ejpam-5614	13	16	e.	e.	PROPN
ejpam-5614	13	17	badr	badr	PROPN
ejpam-5614	13	18	)	)	PUNCT
ejpam-5614	13	19	,	,	PUNCT
ejpam-5614	13	20	drismailhagag@gmail.com	drismailhagag@gmail.com	X
ejpam-5614	13	21	(	(	PUNCT
ejpam-5614	13	22	i.	i.	PROPN
ejpam-5614	13	23	m.	m.	PROPN
ejpam-5614	13	24	hagag	hagag	PROPN
ejpam-5614	13	25	)	)	PUNCT
ejpam-5614	13	26	,	,	PUNCT
ejpam-5614	13	27	hananshabana22@gmail.com	hananshabana22@gmail.com	X
ejpam-5614	13	28	(	(	PUNCT
ejpam-5614	13	29	h.	h.	PROPN
ejpam-5614	13	30	shabana	shabana	PROPN
ejpam-5614	13	31	)	)	PUNCT
ejpam-5614	13	32	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5614	14	1	1	1	NUM
ejpam-5614	14	2	copyright	copyright	NOUN
ejpam-5614	14	3	:	:	PUNCT
ejpam-5614	14	4	©	©	PROPN
ejpam-5614	14	5	2025	2025	NUM
ejpam-5614	14	6	the	the	DET
ejpam-5614	14	7	author(s	author(s	NOUN
ejpam-5614	14	8	)	)	PUNCT
ejpam-5614	14	9	.	.	PUNCT
ejpam-5614	15	1	(	(	PUNCT
ejpam-5614	15	2	cc	cc	NOUN
ejpam-5614	15	3	by	by	ADP
ejpam-5614	15	4	-	-	PUNCT
ejpam-5614	15	5	nc	nc	PROPN
ejpam-5614	15	6	4.0	4.0	NUM
ejpam-5614	15	7	)	)	PUNCT
ejpam-5614	15	8	n.	n.	NOUN
ejpam-5614	15	9	m.	m.	NOUN
ejpam-5614	15	10	noureldeen	noureldeen	NOUN
ejpam-5614	15	11	et	et	PROPN
ejpam-5614	15	12	al	al	PROPN
ejpam-5614	15	13	.	.	PUNCT
ejpam-5614	15	14	/	/	SYM
ejpam-5614	15	15	eur	eur	PROPN
ejpam-5614	15	16	.	.	PUNCT
ejpam-5614	16	1	j.	j.	PROPN
ejpam-5614	16	2	pure	pure	PROPN
ejpam-5614	16	3	appl	appl	PROPN
ejpam-5614	16	4	.	.	PROPN
ejpam-5614	16	5	math	math	PROPN
ejpam-5614	16	6	,	,	PUNCT
ejpam-5614	16	7	18	18	NUM
ejpam-5614	16	8	(	(	PUNCT
ejpam-5614	16	9	1	1	NUM
ejpam-5614	16	10	)	)	PUNCT
ejpam-5614	16	11	(	(	PUNCT
ejpam-5614	16	12	2025	2025	NUM
ejpam-5614	16	13	)	)	PUNCT
ejpam-5614	16	14	,	,	PUNCT
ejpam-5614	16	15	5614	5614	NUM
ejpam-5614	16	16	2	2	NUM
ejpam-5614	16	17	of	of	ADP
ejpam-5614	16	18	18	18	NUM
ejpam-5614	16	19	1	1	NUM
ejpam-5614	16	20	.	.	PUNCT
ejpam-5614	17	1	introduction	introduction	NOUN
ejpam-5614	17	2	broadcasting	broadcasting	NOUN
ejpam-5614	17	3	of	of	ADP
ejpam-5614	17	4	radio	radio	NOUN
ejpam-5614	17	5	and	and	CCONJ
ejpam-5614	17	6	television	television	NOUN
ejpam-5614	17	7	,	,	PUNCT
ejpam-5614	17	8	satellite	satellite	NOUN
ejpam-5614	17	9	communication	communication	NOUN
ejpam-5614	17	10	,	,	PUNCT
ejpam-5614	17	11	mobile	mobile	ADJ
ejpam-5614	17	12	networks	network	NOUN
ejpam-5614	17	13	,	,	PUNCT
ejpam-5614	17	14	internet	internet	NOUN
ejpam-5614	17	15	technology	technology	NOUN
ejpam-5614	17	16	,	,	PUNCT
ejpam-5614	17	17	military	military	ADJ
ejpam-5614	17	18	communications	communication	NOUN
ejpam-5614	17	19	and	and	CCONJ
ejpam-5614	17	20	many	many	ADJ
ejpam-5614	17	21	other	other	ADJ
ejpam-5614	17	22	services	service	NOUN
ejpam-5614	17	23	are	be	AUX
ejpam-5614	17	24	all	all	PRON
ejpam-5614	17	25	examples	example	NOUN
ejpam-5614	17	26	of	of	ADP
ejpam-5614	17	27	wireless	wireless	ADJ
ejpam-5614	17	28	communication	communication	NOUN
ejpam-5614	17	29	networks	network	NOUN
ejpam-5614	17	30	applications	application	NOUN
ejpam-5614	17	31	.	.	PUNCT
ejpam-5614	18	1	the	the	DET
ejpam-5614	18	2	radio	radio	NOUN
ejpam-5614	18	3	frequency	frequency	NOUN
ejpam-5614	18	4	(	(	PUNCT
ejpam-5614	18	5	channel	channel	NOUN
ejpam-5614	18	6	)	)	PUNCT
ejpam-5614	18	7	given	give	VERB
ejpam-5614	18	8	to	to	ADP
ejpam-5614	18	9	transmitting	transmit	VERB
ejpam-5614	18	10	stations	station	NOUN
ejpam-5614	18	11	from	from	ADP
ejpam-5614	18	12	the	the	DET
ejpam-5614	18	13	available	available	ADJ
ejpam-5614	18	14	frequency	frequency	NOUN
ejpam-5614	18	15	spectrum	spectrum	NOUN
ejpam-5614	18	16	(	(	PUNCT
ejpam-5614	18	17	bandwidth	bandwidth	NOUN
ejpam-5614	18	18	)	)	PUNCT
ejpam-5614	18	19	determines	determine	VERB
ejpam-5614	18	20	how	how	SCONJ
ejpam-5614	18	21	effectively	effectively	ADV
ejpam-5614	18	22	and	and	CCONJ
ejpam-5614	18	23	efficiently	efficiently	ADV
ejpam-5614	18	24	communications	communication	NOUN
ejpam-5614	18	25	take	take	VERB
ejpam-5614	18	26	place	place	NOUN
ejpam-5614	18	27	inside	inside	ADP
ejpam-5614	18	28	a	a	DET
ejpam-5614	18	29	network	network	NOUN
ejpam-5614	18	30	.	.	PUNCT
ejpam-5614	19	1	the	the	DET
ejpam-5614	19	2	extensive	extensive	ADJ
ejpam-5614	19	3	use	use	NOUN
ejpam-5614	19	4	of	of	ADP
ejpam-5614	19	5	wireless	wireless	ADJ
ejpam-5614	19	6	services	service	NOUN
ejpam-5614	19	7	implies	imply	VERB
ejpam-5614	19	8	a	a	DET
ejpam-5614	19	9	faster	fast	ADJ
ejpam-5614	19	10	rate	rate	NOUN
ejpam-5614	19	11	of	of	ADP
ejpam-5614	19	12	channel	channel	NOUN
ejpam-5614	19	13	saturation	saturation	NOUN
ejpam-5614	19	14	,	,	PUNCT
ejpam-5614	19	15	which	which	PRON
ejpam-5614	19	16	makes	make	VERB
ejpam-5614	19	17	it	it	PRON
ejpam-5614	19	18	impossible	impossible	ADJ
ejpam-5614	19	19	to	to	PART
ejpam-5614	19	20	keep	keep	VERB
ejpam-5614	19	21	up	up	ADP
ejpam-5614	19	22	with	with	ADP
ejpam-5614	19	23	the	the	DET
ejpam-5614	19	24	growing	grow	VERB
ejpam-5614	19	25	demand	demand	NOUN
ejpam-5614	19	26	for	for	ADP
ejpam-5614	19	27	bandwidth	bandwidth	NOUN
ejpam-5614	19	28	.	.	PUNCT
ejpam-5614	20	1	the	the	DET
ejpam-5614	20	2	frequency	frequency	NOUN
ejpam-5614	20	3	assignment	assignment	NOUN
ejpam-5614	20	4	problem	problem	NOUN
ejpam-5614	20	5	(	(	PUNCT
ejpam-5614	20	6	fap	fap	NOUN
ejpam-5614	20	7	)	)	PUNCT
ejpam-5614	20	8	is	be	AUX
ejpam-5614	20	9	the	the	DET
ejpam-5614	20	10	process	process	NOUN
ejpam-5614	20	11	of	of	ADP
ejpam-5614	20	12	allocating	allocate	VERB
ejpam-5614	20	13	channels	channel	NOUN
ejpam-5614	20	14	(	(	PUNCT
ejpam-5614	20	15	radio	radio	NOUN
ejpam-5614	20	16	frequencies	frequency	NOUN
ejpam-5614	20	17	)	)	PUNCT
ejpam-5614	20	18	to	to	ADP
ejpam-5614	20	19	transmitters	transmitter	NOUN
ejpam-5614	20	20	situated	situate	VERB
ejpam-5614	20	21	at	at	ADP
ejpam-5614	20	22	various	various	ADJ
ejpam-5614	20	23	places	place	NOUN
ejpam-5614	20	24	while	while	SCONJ
ejpam-5614	20	25	avoiding	avoid	VERB
ejpam-5614	20	26	interference	interference	NOUN
ejpam-5614	20	27	and	and	CCONJ
ejpam-5614	20	28	making	make	VERB
ejpam-5614	20	29	the	the	DET
ejpam-5614	20	30	most	most	ADV
ejpam-5614	20	31	effective	effective	ADJ
ejpam-5614	20	32	use	use	NOUN
ejpam-5614	20	33	of	of	ADP
ejpam-5614	20	34	the	the	DET
ejpam-5614	20	35	available	available	ADJ
ejpam-5614	20	36	bandwidth	bandwidth	NOUN
ejpam-5614	20	37	.	.	PUNCT
ejpam-5614	21	1	graph	graph	NOUN
ejpam-5614	21	2	labeling	labeling	NOUN
ejpam-5614	21	3	technique	technique	NOUN
ejpam-5614	21	4	proved	prove	VERB
ejpam-5614	21	5	as	as	ADP
ejpam-5614	21	6	an	an	DET
ejpam-5614	21	7	effective	effective	ADJ
ejpam-5614	21	8	technique	technique	NOUN
ejpam-5614	21	9	for	for	ADP
ejpam-5614	21	10	modeling	modeling	NOUN
ejpam-5614	21	11	and	and	CCONJ
ejpam-5614	21	12	solving	solve	VERB
ejpam-5614	21	13	fap[18	fap[18	PROPN
ejpam-5614	21	14	]	]	PUNCT
ejpam-5614	21	15	.	.	PUNCT
ejpam-5614	22	1	in	in	ADP
ejpam-5614	22	2	graph	graph	NOUN
ejpam-5614	22	3	modeling	modeling	NOUN
ejpam-5614	22	4	of	of	ADP
ejpam-5614	22	5	fap	fap	NOUN
ejpam-5614	22	6	,	,	PUNCT
ejpam-5614	22	7	a	a	DET
ejpam-5614	22	8	network	network	NOUN
ejpam-5614	22	9	of	of	ADP
ejpam-5614	22	10	n	n	NOUN
ejpam-5614	22	11	transmitters	transmitter	NOUN
ejpam-5614	22	12	(	(	PUNCT
ejpam-5614	22	13	or	or	CCONJ
ejpam-5614	22	14	stations	station	NOUN
ejpam-5614	22	15	)	)	PUNCT
ejpam-5614	22	16	is	be	AUX
ejpam-5614	22	17	formulated	formulate	VERB
ejpam-5614	22	18	as	as	ADP
ejpam-5614	22	19	a	a	DET
ejpam-5614	22	20	graph	graph	NOUN
ejpam-5614	22	21	g	g	NOUN
ejpam-5614	22	22	of	of	ADP
ejpam-5614	22	23	n	n	PRON
ejpam-5614	22	24	nodes	node	NOUN
ejpam-5614	22	25	;	;	PUNCT
ejpam-5614	22	26	each	each	PRON
ejpam-5614	22	27	node	node	NOUN
ejpam-5614	22	28	for	for	ADP
ejpam-5614	22	29	a	a	DET
ejpam-5614	22	30	transmitter	transmitter	NOUN
ejpam-5614	22	31	.	.	PUNCT
ejpam-5614	23	1	any	any	DET
ejpam-5614	23	2	two	two	NUM
ejpam-5614	23	3	nodes	node	NOUN
ejpam-5614	23	4	are	be	AUX
ejpam-5614	23	5	adjacent	adjacent	ADJ
ejpam-5614	23	6	if	if	SCONJ
ejpam-5614	23	7	their	their	PRON
ejpam-5614	23	8	corresponding	correspond	VERB
ejpam-5614	23	9	transmitters	transmitter	NOUN
ejpam-5614	23	10	are	be	AUX
ejpam-5614	23	11	the	the	DET
ejpam-5614	23	12	geographically	geographically	ADV
ejpam-5614	23	13	close	close	ADJ
ejpam-5614	23	14	.	.	PUNCT
ejpam-5614	24	1	the	the	DET
ejpam-5614	24	2	task	task	NOUN
ejpam-5614	24	3	is	be	AUX
ejpam-5614	24	4	to	to	PART
ejpam-5614	24	5	assign	assign	VERB
ejpam-5614	24	6	a	a	DET
ejpam-5614	24	7	channel	channel	NOUN
ejpam-5614	24	8	to	to	ADP
ejpam-5614	24	9	each	each	DET
ejpam-5614	24	10	transmitter	transmitter	NOUN
ejpam-5614	24	11	and	and	CCONJ
ejpam-5614	24	12	avoiding	avoid	VERB
ejpam-5614	24	13	interference	interference	NOUN
ejpam-5614	24	14	.	.	PUNCT
ejpam-5614	25	1	consequently	consequently	ADV
ejpam-5614	25	2	,	,	PUNCT
ejpam-5614	25	3	almost	almost	ADV
ejpam-5614	25	4	,	,	PUNCT
ejpam-5614	25	5	the	the	DET
ejpam-5614	25	6	graph	graph	NOUN
ejpam-5614	25	7	g	g	NOUN
ejpam-5614	25	8	is	be	AUX
ejpam-5614	25	9	referred	refer	VERB
ejpam-5614	25	10	as	as	ADP
ejpam-5614	25	11	an	an	DET
ejpam-5614	25	12	interference	interference	NOUN
ejpam-5614	25	13	graph	graph	NOUN
ejpam-5614	25	14	.	.	PUNCT
ejpam-5614	26	1	here	here	ADV
ejpam-5614	26	2	,	,	PUNCT
ejpam-5614	26	3	the	the	DET
ejpam-5614	26	4	interference	interference	NOUN
ejpam-5614	26	5	is	be	AUX
ejpam-5614	26	6	closely	closely	ADV
ejpam-5614	26	7	related	relate	VERB
ejpam-5614	26	8	to	to	ADP
ejpam-5614	26	9	the	the	DET
ejpam-5614	26	10	geographical	geographical	ADJ
ejpam-5614	26	11	position	position	NOUN
ejpam-5614	26	12	of	of	ADP
ejpam-5614	26	13	the	the	DET
ejpam-5614	26	14	transmitting	transmit	VERB
ejpam-5614	26	15	stations	station	NOUN
ejpam-5614	26	16	.	.	PUNCT
ejpam-5614	27	1	the	the	DET
ejpam-5614	27	2	interference	interference	NOUN
ejpam-5614	27	3	is	be	AUX
ejpam-5614	27	4	increasing	increase	VERB
ejpam-5614	27	5	whenever	whenever	SCONJ
ejpam-5614	27	6	the	the	DET
ejpam-5614	27	7	stations	station	NOUN
ejpam-5614	27	8	are	be	AUX
ejpam-5614	27	9	geographical	geographical	ADJ
ejpam-5614	27	10	close	close	ADV
ejpam-5614	27	11	.	.	PUNCT
ejpam-5614	28	1	to	to	PART
ejpam-5614	28	2	avoid	avoid	VERB
ejpam-5614	28	3	such	such	ADJ
ejpam-5614	28	4	interference	interference	NOUN
ejpam-5614	28	5	,	,	PUNCT
ejpam-5614	28	6	then	then	ADV
ejpam-5614	28	7	we	we	PRON
ejpam-5614	28	8	have	have	VERB
ejpam-5614	28	9	to	to	PART
ejpam-5614	28	10	assign	assign	VERB
ejpam-5614	28	11	frequencies	frequency	NOUN
ejpam-5614	28	12	to	to	ADP
ejpam-5614	28	13	stations	station	NOUN
ejpam-5614	28	14	such	such	ADJ
ejpam-5614	28	15	that	that	DET
ejpam-5614	28	16	difference	difference	NOUN
ejpam-5614	28	17	between	between	ADP
ejpam-5614	28	18	the	the	DET
ejpam-5614	28	19	assigned	assign	VERB
ejpam-5614	28	20	channels	channel	NOUN
ejpam-5614	28	21	must	must	AUX
ejpam-5614	28	22	be	be	AUX
ejpam-5614	28	23	large	large	ADJ
ejpam-5614	28	24	enough	enough	ADV
ejpam-5614	28	25	.	.	PUNCT
ejpam-5614	29	1	hence	hence	ADV
ejpam-5614	29	2	,	,	PUNCT
ejpam-5614	29	3	in	in	ADP
ejpam-5614	29	4	solving	solve	VERB
ejpam-5614	29	5	fap	fap	NOUN
ejpam-5614	29	6	as	as	ADP
ejpam-5614	29	7	a	a	DET
ejpam-5614	29	8	graph	graph	NOUN
ejpam-5614	29	9	labeling	label	VERB
ejpam-5614	29	10	the	the	DET
ejpam-5614	29	11	objective	objective	NOUN
ejpam-5614	29	12	is	be	AUX
ejpam-5614	29	13	to	to	PART
ejpam-5614	29	14	find	find	VERB
ejpam-5614	29	15	a	a	DET
ejpam-5614	29	16	labeling	labeling	NOUN
ejpam-5614	29	17	for	for	ADP
ejpam-5614	29	18	all	all	DET
ejpam-5614	29	19	the	the	DET
ejpam-5614	29	20	vertices	vertex	NOUN
ejpam-5614	29	21	of	of	ADP
ejpam-5614	29	22	the	the	DET
ejpam-5614	29	23	interference	interference	NOUN
ejpam-5614	29	24	graph	graph	NOUN
ejpam-5614	29	25	such	such	ADJ
ejpam-5614	29	26	that	that	SCONJ
ejpam-5614	29	27	the	the	DET
ejpam-5614	29	28	range	range	NOUN
ejpam-5614	29	29	of	of	ADP
ejpam-5614	29	30	the	the	DET
ejpam-5614	29	31	assigned	assign	VERB
ejpam-5614	29	32	channels	channel	NOUN
ejpam-5614	29	33	is	be	AUX
ejpam-5614	29	34	minimized	minimize	VERB
ejpam-5614	29	35	.	.	PUNCT
ejpam-5614	30	1	griggs	griggs	PROPN
ejpam-5614	30	2	and	and	CCONJ
ejpam-5614	30	3	yeh	yeh	PROPN
ejpam-5614	31	1	[	[	X
ejpam-5614	31	2	17	17	NUM
ejpam-5614	31	3	]	]	PUNCT
ejpam-5614	31	4	presented	present	VERB
ejpam-5614	31	5	the	the	DET
ejpam-5614	31	6	first	first	ADJ
ejpam-5614	31	7	graph	graph	NOUN
ejpam-5614	31	8	labeling	labeling	NOUN
ejpam-5614	31	9	technique	technique	NOUN
ejpam-5614	31	10	,	,	PUNCT
ejpam-5614	31	11	also	also	ADV
ejpam-5614	31	12	known	know	VERB
ejpam-5614	31	13	as	as	ADP
ejpam-5614	31	14	l(2	l(2	PROPN
ejpam-5614	31	15	,	,	PUNCT
ejpam-5614	31	16	1	1	X
ejpam-5614	31	17	)	)	PUNCT
ejpam-5614	31	18	labeling	labeling	NOUN
ejpam-5614	31	19	or	or	CCONJ
ejpam-5614	31	20	distance	distance	NOUN
ejpam-5614	31	21	two	two	NUM
ejpam-5614	31	22	labeling	labeling	NOUN
ejpam-5614	31	23	to	to	PART
ejpam-5614	31	24	address	address	VERB
ejpam-5614	31	25	the	the	DET
ejpam-5614	31	26	frequency	frequency	NOUN
ejpam-5614	31	27	assignment	assignment	NOUN
ejpam-5614	31	28	problem	problem	NOUN
ejpam-5614	31	29	.	.	PUNCT
ejpam-5614	32	1	the	the	DET
ejpam-5614	32	2	graph	graph	NOUN
ejpam-5614	32	3	labeling	labeling	PROPN
ejpam-5614	32	4	l(2	l(2	PROPN
ejpam-5614	32	5	,	,	PUNCT
ejpam-5614	32	6	1	1	NUM
ejpam-5614	32	7	)	)	PUNCT
ejpam-5614	32	8	of	of	ADP
ejpam-5614	32	9	a	a	DET
ejpam-5614	32	10	simple	simple	ADJ
ejpam-5614	32	11	graph	graph	NOUN
ejpam-5614	32	12	g	g	PROPN
ejpam-5614	32	13	is	be	AUX
ejpam-5614	32	14	a	a	DET
ejpam-5614	32	15	non	non	ADJ
ejpam-5614	32	16	-	-	ADJ
ejpam-5614	32	17	negative	negative	ADJ
ejpam-5614	32	18	real	real	ADV
ejpam-5614	32	19	-	-	PUNCT
ejpam-5614	32	20	valued	value	VERB
ejpam-5614	32	21	function	function	NOUN
ejpam-5614	32	22	l	l	NOUN
ejpam-5614	32	23	:	:	PUNCT
ejpam-5614	32	24	v	v	X
ejpam-5614	32	25	(	(	PUNCT
ejpam-5614	32	26	g	g	NOUN
ejpam-5614	32	27	)	)	PUNCT
ejpam-5614	32	28	→	→	PUNCT
ejpam-5614	33	1	[	[	X
ejpam-5614	33	2	0	0	NUM
ejpam-5614	33	3	,	,	PUNCT
ejpam-5614	33	4	∞	∞	PROPN
ejpam-5614	33	5	)	)	PUNCT
ejpam-5614	33	6	where	where	SCONJ
ejpam-5614	33	7	v	v	X
ejpam-5614	33	8	(	(	PUNCT
ejpam-5614	33	9	g	g	NOUN
ejpam-5614	33	10	)	)	PUNCT
ejpam-5614	33	11	is	be	AUX
ejpam-5614	33	12	the	the	DET
ejpam-5614	33	13	vertex	vertex	NOUN
ejpam-5614	33	14	set	set	NOUN
ejpam-5614	33	15	of	of	ADP
ejpam-5614	33	16	the	the	DET
ejpam-5614	33	17	graph	graph	NOUN
ejpam-5614	33	18	g.	g.	NOUN
ejpam-5614	33	19	whenever	whenever	SCONJ
ejpam-5614	33	20	u	u	PROPN
ejpam-5614	33	21	and	and	CCONJ
ejpam-5614	33	22	v	v	NOUN
ejpam-5614	33	23	are	be	AUX
ejpam-5614	33	24	two	two	NUM
ejpam-5614	33	25	vertices	vertex	NOUN
ejpam-5614	33	26	in	in	ADP
ejpam-5614	33	27	g	g	PROPN
ejpam-5614	33	28	such	such	ADJ
ejpam-5614	33	29	that	that	SCONJ
ejpam-5614	33	30	the	the	DET
ejpam-5614	33	31	distance	distance	NOUN
ejpam-5614	33	32	between	between	ADP
ejpam-5614	33	33	u	u	NOUN
ejpam-5614	33	34	and	and	CCONJ
ejpam-5614	33	35	v	v	NOUN
ejpam-5614	33	36	is	be	AUX
ejpam-5614	33	37	1	1	NUM
ejpam-5614	33	38	,	,	PUNCT
ejpam-5614	33	39	then	then	ADV
ejpam-5614	33	40	|	|	ADV
ejpam-5614	33	41	l(u	l(u	PROPN
ejpam-5614	33	42	)	)	PUNCT
ejpam-5614	33	43	−	−	PROPN
ejpam-5614	33	44	l(v	l(v	NOUN
ejpam-5614	33	45	)	)	PUNCT
ejpam-5614	34	1	|	|	ADV
ejpam-5614	34	2	≥	≥	NOUN
ejpam-5614	34	3	2	2	NUM
ejpam-5614	34	4	,	,	PUNCT
ejpam-5614	34	5	and	and	CCONJ
ejpam-5614	34	6	whenever	whenever	SCONJ
ejpam-5614	34	7	the	the	DET
ejpam-5614	34	8	vertices	vertex	NOUN
ejpam-5614	34	9	u	u	NOUN
ejpam-5614	34	10	and	and	CCONJ
ejpam-5614	34	11	v	v	NOUN
ejpam-5614	34	12	are	be	AUX
ejpam-5614	34	13	of	of	ADP
ejpam-5614	34	14	distance	distance	NOUN
ejpam-5614	34	15	2	2	NUM
ejpam-5614	34	16	from	from	ADP
ejpam-5614	34	17	each	each	DET
ejpam-5614	34	18	other	other	ADJ
ejpam-5614	34	19	,	,	PUNCT
ejpam-5614	34	20	then	then	ADV
ejpam-5614	34	21	|	|	ADV
ejpam-5614	34	22	l(u	l(u	PROPN
ejpam-5614	34	23	)	)	PUNCT
ejpam-5614	34	24	−	−	PROPN
ejpam-5614	34	25	l(v	l(v	NOUN
ejpam-5614	34	26	)	)	PUNCT
ejpam-5614	35	1	|	|	ADV
ejpam-5614	35	2	≥	≥	NOUN
ejpam-5614	35	3	1	1	NUM
ejpam-5614	35	4	.	.	PUNCT
ejpam-5614	36	1	a	a	DET
ejpam-5614	36	2	novel	novel	ADJ
ejpam-5614	36	3	graph	graph	NOUN
ejpam-5614	36	4	labeling	labeling	NOUN
ejpam-5614	36	5	method	method	NOUN
ejpam-5614	36	6	called	call	VERB
ejpam-5614	36	7	radio	radio	NOUN
ejpam-5614	36	8	labeling	labeling	NOUN
ejpam-5614	36	9	was	be	AUX
ejpam-5614	36	10	introduced	introduce	VERB
ejpam-5614	36	11	in	in	ADP
ejpam-5614	36	12	2001	2001	NUM
ejpam-5614	36	13	by	by	ADP
ejpam-5614	36	14	chartrand	chartrand	PROPN
ejpam-5614	36	15	et	et	PROPN
ejpam-5614	36	16	al	al	PROPN
ejpam-5614	37	1	[	[	X
ejpam-5614	37	2	11	11	NUM
ejpam-5614	37	3	]	]	PUNCT
ejpam-5614	37	4	along	along	ADP
ejpam-5614	37	5	with	with	ADP
ejpam-5614	37	6	a	a	DET
ejpam-5614	37	7	modified	modify	VERB
ejpam-5614	37	8	definition	definition	NOUN
ejpam-5614	37	9	of	of	ADP
ejpam-5614	37	10	l(2	l(2	PROPN
ejpam-5614	37	11	,	,	PUNCT
ejpam-5614	37	12	1)-labeling	1)-labeling	NOUN
ejpam-5614	37	13	.	.	PUNCT
ejpam-5614	38	1	in	in	ADP
ejpam-5614	38	2	radio	radio	NOUN
ejpam-5614	38	3	labeling	label	VERB
ejpam-5614	38	4	the	the	DET
ejpam-5614	38	5	function	function	NOUN
ejpam-5614	38	6	l	l	NOUN
ejpam-5614	38	7	:	:	PUNCT
ejpam-5614	38	8	v	v	X
ejpam-5614	38	9	(	(	PUNCT
ejpam-5614	38	10	g	g	NOUN
ejpam-5614	38	11	)	)	PUNCT
ejpam-5614	38	12	→	→	SYM
ejpam-5614	38	13	n	n	CCONJ
ejpam-5614	38	14	,	,	PUNCT
ejpam-5614	38	15	where	where	SCONJ
ejpam-5614	38	16	n	n	PRON
ejpam-5614	38	17	is	be	AUX
ejpam-5614	38	18	the	the	DET
ejpam-5614	38	19	set	set	NOUN
ejpam-5614	38	20	of	of	ADP
ejpam-5614	38	21	integer	integer	NOUN
ejpam-5614	38	22	numbers	number	NOUN
ejpam-5614	38	23	,	,	PUNCT
ejpam-5614	38	24	is	be	AUX
ejpam-5614	38	25	used	use	VERB
ejpam-5614	38	26	to	to	PART
ejpam-5614	38	27	give	give	VERB
ejpam-5614	38	28	the	the	DET
ejpam-5614	38	29	radio	radio	NOUN
ejpam-5614	38	30	labeling	labeling	NOUN
ejpam-5614	38	31	for	for	ADP
ejpam-5614	38	32	the	the	DET
ejpam-5614	38	33	vertices	vertex	NOUN
ejpam-5614	38	34	of	of	ADP
ejpam-5614	38	35	the	the	DET
ejpam-5614	38	36	graph	graph	NOUN
ejpam-5614	38	37	g.	g.	VERB
ejpam-5614	38	38	the	the	DET
ejpam-5614	38	39	function	function	NOUN
ejpam-5614	38	40	l	l	NOUN
ejpam-5614	38	41	is	be	AUX
ejpam-5614	38	42	said	say	VERB
ejpam-5614	38	43	to	to	PART
ejpam-5614	38	44	be	be	AUX
ejpam-5614	38	45	a	a	DET
ejpam-5614	38	46	radio	radio	NOUN
ejpam-5614	38	47	labeling	labeling	NOUN
ejpam-5614	38	48	of	of	ADP
ejpam-5614	38	49	the	the	DET
ejpam-5614	38	50	graph	graph	NOUN
ejpam-5614	38	51	g	g	NOUN
ejpam-5614	38	52	if	if	SCONJ
ejpam-5614	38	53	it	it	PRON
ejpam-5614	38	54	satisfies	satisfy	VERB
ejpam-5614	38	55	the	the	DET
ejpam-5614	38	56	following	follow	VERB
ejpam-5614	38	57	condition	condition	NOUN
ejpam-5614	38	58	:	:	PUNCT
ejpam-5614	38	59	|l(u)−	|l(u)−	NOUN
ejpam-5614	38	60	l(v)|	l(v)|	NUM
ejpam-5614	38	61	≥	≥	NUM
ejpam-5614	38	62	diam(g	diam(g	NOUN
ejpam-5614	38	63	)	)	PUNCT
ejpam-5614	39	1	+	+	CCONJ
ejpam-5614	39	2	1	1	NUM
ejpam-5614	39	3	−	−	PROPN
ejpam-5614	39	4	d(u	d(u	PROPN
ejpam-5614	39	5	,	,	PUNCT
ejpam-5614	39	6	v	v	NOUN
ejpam-5614	39	7	)	)	PUNCT
ejpam-5614	39	8	for	for	ADP
ejpam-5614	39	9	each	each	DET
ejpam-5614	39	10	u	u	NOUN
ejpam-5614	39	11	,	,	PUNCT
ejpam-5614	39	12	v	v	PROPN
ejpam-5614	39	13	∈	∈	PROPN
ejpam-5614	39	14	v	v	NOUN
ejpam-5614	39	15	(	(	PUNCT
ejpam-5614	39	16	g	g	NOUN
ejpam-5614	39	17	)	)	PUNCT
ejpam-5614	39	18	,	,	PUNCT
ejpam-5614	39	19	with	with	ADP
ejpam-5614	39	20	diam(g	diam(g	NOUN
ejpam-5614	39	21	)	)	PUNCT
ejpam-5614	39	22	being	be	AUX
ejpam-5614	39	23	the	the	DET
ejpam-5614	39	24	diameter	diameter	NOUN
ejpam-5614	39	25	of	of	ADP
ejpam-5614	39	26	g	g	PROPN
ejpam-5614	39	27	and	and	CCONJ
ejpam-5614	39	28	d(u	d(u	PROPN
ejpam-5614	39	29	,	,	PUNCT
ejpam-5614	39	30	v	v	NOUN
ejpam-5614	39	31	)	)	PUNCT
ejpam-5614	39	32	being	be	AUX
ejpam-5614	39	33	the	the	DET
ejpam-5614	39	34	shortest	short	ADJ
ejpam-5614	39	35	distance	distance	NOUN
ejpam-5614	39	36	between	between	ADP
ejpam-5614	39	37	the	the	DET
ejpam-5614	39	38	vertices	vertex	NOUN
ejpam-5614	39	39	u	u	NOUN
ejpam-5614	39	40	,	,	PUNCT
ejpam-5614	39	41	v.	v.	ADP
ejpam-5614	39	42	the	the	DET
ejpam-5614	39	43	difference	difference	NOUN
ejpam-5614	39	44	between	between	ADP
ejpam-5614	39	45	the	the	DET
ejpam-5614	39	46	highest	high	ADJ
ejpam-5614	39	47	and	and	CCONJ
ejpam-5614	39	48	lowest	low	ADJ
ejpam-5614	39	49	labels	label	NOUN
ejpam-5614	39	50	employed	employ	VERB
ejpam-5614	39	51	by	by	ADP
ejpam-5614	39	52	a	a	DET
ejpam-5614	39	53	radio	radio	NOUN
ejpam-5614	39	54	labeling	labeling	NOUN
ejpam-5614	39	55	l	l	NOUN
ejpam-5614	39	56	is	be	AUX
ejpam-5614	39	57	known	know	VERB
ejpam-5614	39	58	as	as	ADP
ejpam-5614	39	59	the	the	DET
ejpam-5614	39	60	span	span	NOUN
ejpam-5614	39	61	of	of	ADP
ejpam-5614	39	62	the	the	DET
ejpam-5614	39	63	labeling	labeling	NOUN
ejpam-5614	39	64	l.	l.	NOUN
ejpam-5614	39	65	the	the	DET
ejpam-5614	39	66	main	main	ADJ
ejpam-5614	39	67	objective	objective	NOUN
ejpam-5614	39	68	of	of	ADP
ejpam-5614	39	69	the	the	DET
ejpam-5614	39	70	radio	radio	NOUN
ejpam-5614	39	71	labeling	labeling	NOUN
ejpam-5614	39	72	problem	problem	NOUN
ejpam-5614	39	73	is	be	AUX
ejpam-5614	39	74	to	to	PART
ejpam-5614	39	75	determine	determine	VERB
ejpam-5614	39	76	the	the	DET
ejpam-5614	39	77	minimum	minimum	ADJ
ejpam-5614	39	78	span	span	NOUN
ejpam-5614	39	79	across	across	ADV
ejpam-5614	39	80	all	all	ADV
ejpam-5614	39	81	over	over	ADP
ejpam-5614	39	82	such	such	ADJ
ejpam-5614	39	83	labeling	labeling	NOUN
ejpam-5614	39	84	l	l	NOUN
ejpam-5614	39	85	on	on	ADP
ejpam-5614	39	86	the	the	DET
ejpam-5614	39	87	graph	graph	NOUN
ejpam-5614	40	1	g.	g.	NOUN
ejpam-5614	40	2	such	such	ADJ
ejpam-5614	40	3	minimum	minimum	ADJ
ejpam-5614	40	4	span	span	NOUN
ejpam-5614	40	5	is	be	AUX
ejpam-5614	40	6	called	call	VERB
ejpam-5614	40	7	the	the	DET
ejpam-5614	40	8	radio	radio	NOUN
ejpam-5614	40	9	number	number	NOUN
ejpam-5614	40	10	of	of	ADP
ejpam-5614	40	11	g	g	NOUN
ejpam-5614	40	12	or	or	CCONJ
ejpam-5614	40	13	as	as	ADP
ejpam-5614	40	14	rn(g	rn(g	NUM
ejpam-5614	40	15	)	)	PUNCT
ejpam-5614	40	16	.	.	PUNCT
ejpam-5614	41	1	such	such	ADJ
ejpam-5614	41	2	radio	radio	NOUN
ejpam-5614	41	3	number	number	NOUN
ejpam-5614	41	4	is	be	AUX
ejpam-5614	41	5	important	important	ADJ
ejpam-5614	41	6	in	in	ADP
ejpam-5614	41	7	measuring	measure	VERB
ejpam-5614	41	8	the	the	DET
ejpam-5614	41	9	efficiency	efficiency	NOUN
ejpam-5614	41	10	usage	usage	NOUN
ejpam-5614	41	11	of	of	ADP
ejpam-5614	41	12	the	the	DET
ejpam-5614	41	13	available	available	ADJ
ejpam-5614	41	14	bandwidth	bandwidth	NOUN
ejpam-5614	41	15	of	of	ADP
ejpam-5614	41	16	radio	radio	NOUN
ejpam-5614	41	17	frequencies	frequency	NOUN
ejpam-5614	41	18	.	.	PUNCT
ejpam-5614	42	1	determining	determine	VERB
ejpam-5614	42	2	the	the	DET
ejpam-5614	42	3	radio	radio	NOUN
ejpam-5614	42	4	number	number	NOUN
ejpam-5614	42	5	of	of	ADP
ejpam-5614	42	6	an	an	DET
ejpam-5614	42	7	arbitrary	arbitrary	ADJ
ejpam-5614	42	8	graph	graph	NOUN
ejpam-5614	42	9	has	have	AUX
ejpam-5614	42	10	been	be	AUX
ejpam-5614	42	11	demonstrated	demonstrate	VERB
ejpam-5614	42	12	to	to	PART
ejpam-5614	42	13	be	be	AUX
ejpam-5614	42	14	an	an	DET
ejpam-5614	42	15	np	np	NOUN
ejpam-5614	42	16	-	-	PUNCT
ejpam-5614	42	17	complete	complete	ADJ
ejpam-5614	42	18	problem	problem	NOUN
ejpam-5614	42	19	[	[	X
ejpam-5614	42	20	19	19	NUM
ejpam-5614	42	21	]	]	PUNCT
ejpam-5614	42	22	.	.	PUNCT
ejpam-5614	43	1	authors	author	NOUN
ejpam-5614	43	2	of	of	ADP
ejpam-5614	43	3	[	[	X
ejpam-5614	43	4	30	30	NUM
ejpam-5614	43	5	]	]	PUNCT
ejpam-5614	43	6	introduced	introduce	VERB
ejpam-5614	43	7	an	an	DET
ejpam-5614	43	8	algorithm	algorithm	NOUN
ejpam-5614	43	9	that	that	PRON
ejpam-5614	43	10	determines	determine	VERB
ejpam-5614	43	11	the	the	DET
ejpam-5614	43	12	lower	low	ADJ
ejpam-5614	43	13	and	and	CCONJ
ejpam-5614	43	14	upper	upper	ADJ
ejpam-5614	43	15	bounds	bound	NOUN
ejpam-5614	43	16	of	of	ADP
ejpam-5614	43	17	the	the	DET
ejpam-5614	43	18	radio	radio	NOUN
ejpam-5614	43	19	number	number	NOUN
ejpam-5614	43	20	of	of	ADP
ejpam-5614	43	21	a	a	DET
ejpam-5614	43	22	graph	graph	NOUN
ejpam-5614	43	23	.	.	PUNCT
ejpam-5614	44	1	n.	n.	PROPN
ejpam-5614	44	2	m.	m.	NOUN
ejpam-5614	44	3	noureldeen	noureldeen	INTJ
ejpam-5614	44	4	et	et	PROPN
ejpam-5614	44	5	al	al	PROPN
ejpam-5614	44	6	.	.	PUNCT
ejpam-5614	44	7	/	/	SYM
ejpam-5614	44	8	eur	eur	PROPN
ejpam-5614	44	9	.	.	PUNCT
ejpam-5614	45	1	j.	j.	PROPN
ejpam-5614	45	2	pure	pure	PROPN
ejpam-5614	45	3	appl	appl	PROPN
ejpam-5614	45	4	.	.	PROPN
ejpam-5614	45	5	math	math	PROPN
ejpam-5614	45	6	,	,	PUNCT
ejpam-5614	45	7	18	18	NUM
ejpam-5614	45	8	(	(	PUNCT
ejpam-5614	45	9	1	1	NUM
ejpam-5614	45	10	)	)	PUNCT
ejpam-5614	45	11	(	(	PUNCT
ejpam-5614	45	12	2025	2025	NUM
ejpam-5614	45	13	)	)	PUNCT
ejpam-5614	45	14	,	,	PUNCT
ejpam-5614	45	15	5614	5614	NUM
ejpam-5614	45	16	3	3	NUM
ejpam-5614	45	17	of	of	ADP
ejpam-5614	45	18	18	18	NUM
ejpam-5614	45	19	badr	badr	PROPN
ejpam-5614	45	20	and	and	CCONJ
ejpam-5614	45	21	moussa	moussa	PROPN
ejpam-5614	46	1	[	[	X
ejpam-5614	46	2	6	6	NUM
ejpam-5614	46	3	]	]	PUNCT
ejpam-5614	46	4	proposed	propose	VERB
ejpam-5614	46	5	the	the	DET
ejpam-5614	46	6	development	development	NOUN
ejpam-5614	46	7	of	of	ADP
ejpam-5614	46	8	sahas	saha	NOUN
ejpam-5614	46	9	’	'	PUNCT
ejpam-5614	46	10	algorithm	algorithm	NOUN
ejpam-5614	46	11	and	and	CCONJ
ejpam-5614	46	12	introduced	introduce	VERB
ejpam-5614	46	13	a	a	DET
ejpam-5614	46	14	novel	novel	ADJ
ejpam-5614	46	15	mathematical	mathematical	ADJ
ejpam-5614	46	16	model	model	NOUN
ejpam-5614	46	17	for	for	ADP
ejpam-5614	46	18	the	the	DET
ejpam-5614	46	19	radio	radio	NOUN
ejpam-5614	46	20	labeling	labeling	NOUN
ejpam-5614	46	21	application	application	NOUN
ejpam-5614	46	22	.	.	PUNCT
ejpam-5614	47	1	radio	radio	NOUN
ejpam-5614	47	2	labeling	labeling	NOUN
ejpam-5614	47	3	problem	problem	NOUN
ejpam-5614	47	4	has	have	AUX
ejpam-5614	47	5	been	be	AUX
ejpam-5614	47	6	studied	study	VERB
ejpam-5614	47	7	for	for	ADP
ejpam-5614	47	8	different	different	ADJ
ejpam-5614	47	9	families	family	NOUN
ejpam-5614	47	10	of	of	ADP
ejpam-5614	47	11	graphs	graph	NOUN
ejpam-5614	47	12	[	[	X
ejpam-5614	47	13	4	4	NUM
ejpam-5614	47	14	,	,	PUNCT
ejpam-5614	47	15	5	5	NUM
ejpam-5614	47	16	,	,	PUNCT
ejpam-5614	47	17	20–25	20–25	NUM
ejpam-5614	47	18	,	,	PUNCT
ejpam-5614	47	19	27	27	NUM
ejpam-5614	47	20	,	,	PUNCT
ejpam-5614	47	21	28	28	NUM
ejpam-5614	47	22	,	,	PUNCT
ejpam-5614	47	23	31	31	NUM
ejpam-5614	47	24	,	,	PUNCT
ejpam-5614	47	25	32	32	NUM
ejpam-5614	47	26	,	,	PUNCT
ejpam-5614	47	27	39	39	NUM
ejpam-5614	47	28	]	]	PUNCT
ejpam-5614	47	29	.	.	PUNCT
ejpam-5614	48	1	on	on	ADP
ejpam-5614	48	2	the	the	DET
ejpam-5614	48	3	other	other	ADJ
ejpam-5614	48	4	hand	hand	NOUN
ejpam-5614	48	5	,	,	PUNCT
ejpam-5614	48	6	for	for	ADP
ejpam-5614	48	7	more	more	ADJ
ejpam-5614	48	8	details	detail	NOUN
ejpam-5614	48	9	about	about	ADP
ejpam-5614	48	10	the	the	DET
ejpam-5614	48	11	mathematical	mathematical	ADJ
ejpam-5614	48	12	models	model	NOUN
ejpam-5614	48	13	,	,	PUNCT
ejpam-5614	48	14	the	the	DET
ejpam-5614	48	15	reader	reader	NOUN
ejpam-5614	48	16	is	be	AUX
ejpam-5614	48	17	referred	refer	VERB
ejpam-5614	48	18	to	to	ADP
ejpam-5614	48	19	[	[	X
ejpam-5614	48	20	1–3	1–3	NOUN
ejpam-5614	48	21	,	,	PUNCT
ejpam-5614	48	22	7–10	7–10	PROPN
ejpam-5614	48	23	,	,	PUNCT
ejpam-5614	48	24	13	13	NUM
ejpam-5614	48	25	–	–	SYM
ejpam-5614	48	26	16	16	NUM
ejpam-5614	48	27	,	,	PUNCT
ejpam-5614	48	28	29	29	NUM
ejpam-5614	48	29	,	,	PUNCT
ejpam-5614	48	30	37	37	NUM
ejpam-5614	48	31	,	,	PUNCT
ejpam-5614	48	32	38	38	NUM
ejpam-5614	48	33	]	]	PUNCT
ejpam-5614	48	34	.	.	PUNCT
ejpam-5614	49	1	finally	finally	ADV
ejpam-5614	49	2	,	,	PUNCT
ejpam-5614	49	3	for	for	ADP
ejpam-5614	49	4	more	more	ADJ
ejpam-5614	49	5	details	detail	NOUN
ejpam-5614	49	6	about	about	ADP
ejpam-5614	49	7	the	the	DET
ejpam-5614	49	8	theory	theory	NOUN
ejpam-5614	49	9	of	of	ADP
ejpam-5614	49	10	cryptography	cryptography	NOUN
ejpam-5614	49	11	,	,	PUNCT
ejpam-5614	49	12	the	the	DET
ejpam-5614	49	13	reader	reader	NOUN
ejpam-5614	49	14	may	may	AUX
ejpam-5614	49	15	refer	refer	VERB
ejpam-5614	49	16	to	to	ADP
ejpam-5614	49	17	[	[	X
ejpam-5614	49	18	12	12	NUM
ejpam-5614	49	19	,	,	PUNCT
ejpam-5614	49	20	26	26	NUM
ejpam-5614	49	21	,	,	PUNCT
ejpam-5614	49	22	33–36	33–36	NUM
ejpam-5614	49	23	]	]	PUNCT
ejpam-5614	49	24	.	.	PUNCT
ejpam-5614	50	1	obtaining	obtain	VERB
ejpam-5614	50	2	the	the	DET
ejpam-5614	50	3	radio	radio	NOUN
ejpam-5614	50	4	number	number	NOUN
ejpam-5614	50	5	of	of	ADP
ejpam-5614	50	6	generic	generic	ADJ
ejpam-5614	50	7	graphs	graph	NOUN
ejpam-5614	50	8	is	be	AUX
ejpam-5614	50	9	computationally	computationally	ADV
ejpam-5614	50	10	challenging	challenging	ADJ
ejpam-5614	50	11	and	and	CCONJ
ejpam-5614	50	12	it	it	PRON
ejpam-5614	50	13	is	be	AUX
ejpam-5614	50	14	np	np	INTJ
ejpam-5614	50	15	-	-	ADJ
ejpam-5614	50	16	hard	hard	ADJ
ejpam-5614	50	17	to	to	PART
ejpam-5614	50	18	determine	determine	VERB
ejpam-5614	50	19	,	,	PUNCT
ejpam-5614	50	20	the	the	DET
ejpam-5614	50	21	radio	radio	NOUN
ejpam-5614	50	22	number	number	NOUN
ejpam-5614	50	23	of	of	ADP
ejpam-5614	50	24	general	general	ADJ
ejpam-5614	50	25	graphs	graph	NOUN
ejpam-5614	50	26	of	of	ADP
ejpam-5614	50	27	diameter	diameter	NOUN
ejpam-5614	50	28	2	2	NUM
ejpam-5614	50	29	and	and	CCONJ
ejpam-5614	50	30	its	its	PRON
ejpam-5614	50	31	complexity	complexity	NOUN
ejpam-5614	50	32	is	be	AUX
ejpam-5614	50	33	unknown	unknown	ADJ
ejpam-5614	50	34	in	in	ADP
ejpam-5614	50	35	general	general	ADJ
ejpam-5614	50	36	.	.	PUNCT
ejpam-5614	51	1	in	in	ADP
ejpam-5614	51	2	literature	literature	NOUN
ejpam-5614	51	3	,	,	PUNCT
ejpam-5614	51	4	there	there	PRON
ejpam-5614	51	5	are	be	VERB
ejpam-5614	51	6	some	some	DET
ejpam-5614	51	7	algorithms	algorithm	NOUN
ejpam-5614	51	8	for	for	ADP
ejpam-5614	51	9	finding	find	VERB
ejpam-5614	51	10	an	an	DET
ejpam-5614	51	11	upper	upper	ADJ
ejpam-5614	51	12	bound	bind	VERB
ejpam-5614	51	13	for	for	ADP
ejpam-5614	51	14	radio	radio	NOUN
ejpam-5614	51	15	number	number	NOUN
ejpam-5614	51	16	of	of	ADP
ejpam-5614	51	17	a	a	DET
ejpam-5614	51	18	given	give	VERB
ejpam-5614	51	19	graph	graph	NOUN
ejpam-5614	51	20	.	.	PUNCT
ejpam-5614	52	1	the	the	DET
ejpam-5614	52	2	main	main	ADJ
ejpam-5614	52	3	challenge	challenge	NOUN
ejpam-5614	52	4	of	of	ADP
ejpam-5614	52	5	such	such	ADJ
ejpam-5614	52	6	algorithms	algorithm	NOUN
ejpam-5614	52	7	is	be	AUX
ejpam-5614	52	8	determining	determine	VERB
ejpam-5614	52	9	the	the	DET
ejpam-5614	52	10	first	first	ADJ
ejpam-5614	52	11	vertex	vertex	NOUN
ejpam-5614	52	12	of	of	ADP
ejpam-5614	52	13	the	the	DET
ejpam-5614	52	14	graph	graph	NOUN
ejpam-5614	52	15	g	g	NOUN
ejpam-5614	52	16	that	that	PRON
ejpam-5614	52	17	will	will	AUX
ejpam-5614	52	18	labeled	label	VERB
ejpam-5614	52	19	by	by	ADP
ejpam-5614	52	20	zero	zero	NUM
ejpam-5614	52	21	.	.	PUNCT
ejpam-5614	53	1	in	in	ADP
ejpam-5614	53	2	[	[	X
ejpam-5614	53	3	30	30	NUM
ejpam-5614	53	4	]	]	X
ejpam-5614	53	5	laxman	laxman	PROPN
ejpam-5614	53	6	saha	saha	PROPN
ejpam-5614	53	7	select	select	VERB
ejpam-5614	53	8	a	a	DET
ejpam-5614	53	9	random	random	ADJ
ejpam-5614	53	10	vertex	vertex	NOUN
ejpam-5614	53	11	to	to	PART
ejpam-5614	53	12	label	label	VERB
ejpam-5614	53	13	by	by	ADP
ejpam-5614	53	14	zero	zero	NUM
ejpam-5614	53	15	.	.	PUNCT
ejpam-5614	54	1	the	the	DET
ejpam-5614	54	2	label	label	NOUN
ejpam-5614	54	3	zero	zero	NUM
ejpam-5614	54	4	is	be	AUX
ejpam-5614	54	5	fixed	fix	VERB
ejpam-5614	54	6	at	at	ADP
ejpam-5614	54	7	that	that	DET
ejpam-5614	54	8	vertex	vertex	NOUN
ejpam-5614	54	9	through	through	ADP
ejpam-5614	54	10	all	all	DET
ejpam-5614	54	11	steps	step	NOUN
ejpam-5614	54	12	of	of	ADP
ejpam-5614	54	13	sahas	saha	NOUN
ejpam-5614	54	14	’	'	PUNCT
ejpam-5614	54	15	algorithm	algorithm	NOUN
ejpam-5614	54	16	.	.	PUNCT
ejpam-5614	55	1	badr[6	badr[6	PROPN
ejpam-5614	55	2	]	]	PUNCT
ejpam-5614	55	3	proposed	propose	VERB
ejpam-5614	55	4	an	an	DET
ejpam-5614	55	5	algorithm	algorithm	NOUN
ejpam-5614	55	6	moves	move	VERB
ejpam-5614	55	7	the	the	DET
ejpam-5614	55	8	label	label	NOUN
ejpam-5614	55	9	zero	zero	NUM
ejpam-5614	55	10	from	from	ADP
ejpam-5614	55	11	the	the	DET
ejpam-5614	55	12	vertex	vertex	NOUN
ejpam-5614	55	13	to	to	ADP
ejpam-5614	55	14	another	another	DET
ejpam-5614	55	15	vertex	vertex	NOUN
ejpam-5614	55	16	in	in	ADP
ejpam-5614	55	17	order	order	NOUN
ejpam-5614	55	18	to	to	PART
ejpam-5614	55	19	get	get	VERB
ejpam-5614	55	20	the	the	DET
ejpam-5614	55	21	minimum	minimum	ADJ
ejpam-5614	55	22	radio	radio	NOUN
ejpam-5614	55	23	number	number	NOUN
ejpam-5614	55	24	.	.	PUNCT
ejpam-5614	56	1	therefore	therefore	ADV
ejpam-5614	56	2	,	,	PUNCT
ejpam-5614	56	3	it	it	PRON
ejpam-5614	56	4	gets	get	VERB
ejpam-5614	56	5	the	the	DET
ejpam-5614	56	6	better	well	ADJ
ejpam-5614	56	7	upper	upper	ADJ
ejpam-5614	56	8	bound	bind	VERB
ejpam-5614	56	9	of	of	ADP
ejpam-5614	56	10	the	the	DET
ejpam-5614	56	11	radio	radio	NOUN
ejpam-5614	56	12	number	number	NOUN
ejpam-5614	56	13	for	for	ADP
ejpam-5614	56	14	a	a	DET
ejpam-5614	56	15	given	give	VERB
ejpam-5614	56	16	graph	graph	NOUN
ejpam-5614	56	17	g.	g.	PROPN
ejpam-5614	56	18	however	however	ADV
ejpam-5614	56	19	,	,	PUNCT
ejpam-5614	56	20	if	if	SCONJ
ejpam-5614	56	21	badr	badr	PROPN
ejpam-5614	56	22	algorithm	algorithm	PROPN
ejpam-5614	56	23	moves	move	VERB
ejpam-5614	56	24	all	all	DET
ejpam-5614	56	25	labels	label	NOUN
ejpam-5614	56	26	from	from	ADP
ejpam-5614	56	27	the	the	DET
ejpam-5614	56	28	vertex	vertex	NOUN
ejpam-5614	56	29	to	to	ADP
ejpam-5614	56	30	another	another	DET
ejpam-5614	56	31	vertex	vertex	NOUN
ejpam-5614	56	32	the	the	DET
ejpam-5614	56	33	algorithm	algorithm	NOUN
ejpam-5614	56	34	will	will	AUX
ejpam-5614	56	35	become	become	VERB
ejpam-5614	56	36	an	an	DET
ejpam-5614	56	37	exponential	exponential	ADJ
ejpam-5614	56	38	algorithm	algorithm	NOUN
ejpam-5614	56	39	.	.	PUNCT
ejpam-5614	57	1	here	here	ADV
ejpam-5614	57	2	,	,	PUNCT
ejpam-5614	57	3	we	we	PRON
ejpam-5614	57	4	claim	claim	VERB
ejpam-5614	57	5	to	to	PART
ejpam-5614	57	6	introduce	introduce	VERB
ejpam-5614	57	7	an	an	DET
ejpam-5614	57	8	algorithm	algorithm	NOUN
ejpam-5614	57	9	that	that	PRON
ejpam-5614	57	10	give	give	VERB
ejpam-5614	57	11	better	well	ADV
ejpam-5614	57	12	upper	upper	ADJ
ejpam-5614	57	13	bound	bind	VERB
ejpam-5614	57	14	and	and	CCONJ
ejpam-5614	57	15	minimize	minimize	VERB
ejpam-5614	57	16	the	the	DET
ejpam-5614	57	17	time	time	NOUN
ejpam-5614	57	18	of	of	ADP
ejpam-5614	57	19	finding	find	VERB
ejpam-5614	57	20	such	such	ADJ
ejpam-5614	57	21	upper	upper	ADJ
ejpam-5614	57	22	bound	bind	VERB
ejpam-5614	57	23	.	.	PUNCT
ejpam-5614	58	1	in	in	ADP
ejpam-5614	58	2	this	this	DET
ejpam-5614	58	3	paper	paper	NOUN
ejpam-5614	58	4	,	,	PUNCT
ejpam-5614	58	5	a	a	DET
ejpam-5614	58	6	fast	fast	ADJ
ejpam-5614	58	7	algorithm	algorithm	NOUN
ejpam-5614	58	8	determining	determine	VERB
ejpam-5614	58	9	the	the	DET
ejpam-5614	58	10	upper	upper	ADJ
ejpam-5614	58	11	bound	bind	VERB
ejpam-5614	58	12	of	of	ADP
ejpam-5614	58	13	the	the	DET
ejpam-5614	58	14	radio	radio	NOUN
ejpam-5614	58	15	number	number	NOUN
ejpam-5614	58	16	of	of	ADP
ejpam-5614	58	17	a	a	DET
ejpam-5614	58	18	given	give	VERB
ejpam-5614	58	19	graph	graph	NOUN
ejpam-5614	58	20	is	be	AUX
ejpam-5614	58	21	proposed	propose	VERB
ejpam-5614	58	22	.	.	PUNCT
ejpam-5614	59	1	the	the	DET
ejpam-5614	59	2	proposed	propose	VERB
ejpam-5614	59	3	algorithm	algorithm	NOUN
ejpam-5614	59	4	overcomes	overcome	VERB
ejpam-5614	59	5	the	the	DET
ejpam-5614	59	6	other	other	ADJ
ejpam-5614	59	7	which	which	PRON
ejpam-5614	59	8	is	be	AUX
ejpam-5614	59	9	due	due	ADJ
ejpam-5614	59	10	to	to	ADP
ejpam-5614	59	11	saha	saha	NOUN
ejpam-5614	59	12	and	and	CCONJ
ejpam-5614	59	13	panigrahi	panigrahi	NOUN
ejpam-5614	59	14	[	[	X
ejpam-5614	59	15	30	30	NUM
ejpam-5614	59	16	]	]	PUNCT
ejpam-5614	59	17	.	.	PUNCT
ejpam-5614	60	1	according	accord	VERB
ejpam-5614	60	2	to	to	ADP
ejpam-5614	60	3	cpu	cpu	NOUN
ejpam-5614	60	4	time	time	NOUN
ejpam-5614	60	5	,	,	PUNCT
ejpam-5614	60	6	the	the	DET
ejpam-5614	60	7	proposed	propose	VERB
ejpam-5614	60	8	algorithm	algorithm	NOUN
ejpam-5614	60	9	outperforms	outperform	VERB
ejpam-5614	60	10	the	the	DET
ejpam-5614	60	11	other	other	ADJ
ejpam-5614	60	12	which	which	PRON
ejpam-5614	60	13	is	be	AUX
ejpam-5614	60	14	due	due	ADJ
ejpam-5614	60	15	to	to	ADP
ejpam-5614	60	16	badr	badr	PROPN
ejpam-5614	60	17	and	and	CCONJ
ejpam-5614	60	18	mousa	mousa	PROPN
ejpam-5614	61	1	[	[	X
ejpam-5614	61	2	6	6	NUM
ejpam-5614	61	3	]	]	PUNCT
ejpam-5614	61	4	.	.	PUNCT
ejpam-5614	62	1	the	the	DET
ejpam-5614	62	2	superiority	superiority	NOUN
ejpam-5614	62	3	of	of	ADP
ejpam-5614	62	4	the	the	DET
ejpam-5614	62	5	proposed	propose	VERB
ejpam-5614	62	6	algorithm	algorithm	NOUN
ejpam-5614	62	7	on	on	ADP
ejpam-5614	62	8	the	the	DET
ejpam-5614	62	9	mathematical	mathematical	ADJ
ejpam-5614	62	10	model	model	NOUN
ejpam-5614	62	11	is	be	AUX
ejpam-5614	62	12	introduced	introduce	VERB
ejpam-5614	62	13	for	for	ADP
ejpam-5614	62	14	both	both	CCONJ
ejpam-5614	62	15	the	the	DET
ejpam-5614	62	16	upper	upper	ADJ
ejpam-5614	62	17	bound	bound	NOUN
ejpam-5614	62	18	of	of	ADP
ejpam-5614	62	19	the	the	DET
ejpam-5614	62	20	radio	radio	NOUN
ejpam-5614	62	21	number	number	NOUN
ejpam-5614	62	22	and	and	CCONJ
ejpam-5614	62	23	cpu	cpu	NOUN
ejpam-5614	62	24	time	time	NOUN
ejpam-5614	62	25	.	.	PUNCT
ejpam-5614	63	1	finally	finally	ADV
ejpam-5614	63	2	,	,	PUNCT
ejpam-5614	63	3	the	the	DET
ejpam-5614	63	4	proposed	propose	VERB
ejpam-5614	63	5	algorithm	algorithm	NOUN
ejpam-5614	63	6	is	be	AUX
ejpam-5614	63	7	evaluated	evaluate	VERB
ejpam-5614	63	8	by	by	ADP
ejpam-5614	63	9	a	a	DET
ejpam-5614	63	10	set	set	NOUN
ejpam-5614	63	11	of	of	ADP
ejpam-5614	63	12	networks	network	NOUN
ejpam-5614	63	13	,	,	PUNCT
ejpam-5614	63	14	which	which	PRON
ejpam-5614	63	15	have	have	VERB
ejpam-5614	63	16	variety	variety	NOUN
ejpam-5614	63	17	properties	property	NOUN
ejpam-5614	63	18	.	.	PUNCT
ejpam-5614	64	1	the	the	DET
ejpam-5614	64	2	rest	rest	NOUN
ejpam-5614	64	3	of	of	ADP
ejpam-5614	64	4	the	the	DET
ejpam-5614	64	5	paper	paper	NOUN
ejpam-5614	64	6	is	be	AUX
ejpam-5614	64	7	structured	structure	VERB
ejpam-5614	64	8	as	as	SCONJ
ejpam-5614	64	9	follows	follow	VERB
ejpam-5614	64	10	section	section	NOUN
ejpam-5614	64	11	2	2	NUM
ejpam-5614	64	12	present	present	VERB
ejpam-5614	64	13	the	the	DET
ejpam-5614	64	14	fundamentals	fundamental	NOUN
ejpam-5614	64	15	of	of	ADP
ejpam-5614	64	16	the	the	DET
ejpam-5614	64	17	proposed	propose	VERB
ejpam-5614	64	18	algorithm	algorithm	NOUN
ejpam-5614	64	19	for	for	ADP
ejpam-5614	64	20	finding	find	VERB
ejpam-5614	64	21	the	the	DET
ejpam-5614	64	22	upper	upper	ADJ
ejpam-5614	64	23	bound	bound	NOUN
ejpam-5614	64	24	of	of	ADP
ejpam-5614	64	25	the	the	DET
ejpam-5614	64	26	radio	radio	NOUN
ejpam-5614	64	27	labeling	labeling	NOUN
ejpam-5614	64	28	for	for	ADP
ejpam-5614	64	29	a	a	DET
ejpam-5614	64	30	graph	graph	NOUN
ejpam-5614	64	31	g.	g.	NOUN
ejpam-5614	64	32	besides	besides	SCONJ
ejpam-5614	64	33	that	that	PRON
ejpam-5614	64	34	,	,	PUNCT
ejpam-5614	64	35	the	the	DET
ejpam-5614	64	36	mathematical	mathematical	ADJ
ejpam-5614	64	37	model	model	NOUN
ejpam-5614	64	38	for	for	ADP
ejpam-5614	64	39	determining	determine	VERB
ejpam-5614	64	40	the	the	DET
ejpam-5614	64	41	upper	upper	ADJ
ejpam-5614	64	42	bound	bind	VERB
ejpam-5614	64	43	of	of	ADP
ejpam-5614	64	44	the	the	DET
ejpam-5614	64	45	radio	radio	NOUN
ejpam-5614	64	46	number	number	NOUN
ejpam-5614	64	47	of	of	ADP
ejpam-5614	64	48	a	a	DET
ejpam-5614	64	49	graph	graph	NOUN
ejpam-5614	64	50	is	be	AUX
ejpam-5614	64	51	presented	present	VERB
ejpam-5614	64	52	.	.	PUNCT
ejpam-5614	65	1	a	a	DET
ejpam-5614	65	2	computational	computational	ADJ
ejpam-5614	65	3	study	study	NOUN
ejpam-5614	65	4	for	for	ADP
ejpam-5614	65	5	verification	verification	NOUN
ejpam-5614	65	6	of	of	ADP
ejpam-5614	65	7	the	the	DET
ejpam-5614	65	8	validity	validity	NOUN
ejpam-5614	65	9	and	and	CCONJ
ejpam-5614	65	10	efficiency	efficiency	NOUN
ejpam-5614	65	11	of	of	ADP
ejpam-5614	65	12	the	the	DET
ejpam-5614	65	13	proposed	propose	VERB
ejpam-5614	65	14	algorithm	algorithm	NOUN
ejpam-5614	65	15	is	be	AUX
ejpam-5614	65	16	presented	present	VERB
ejpam-5614	65	17	in	in	ADP
ejpam-5614	65	18	section	section	NOUN
ejpam-5614	65	19	3	3	NUM
ejpam-5614	65	20	.	.	PUNCT
ejpam-5614	66	1	a	a	DET
ejpam-5614	66	2	cryptography	cryptography	NOUN
ejpam-5614	66	3	application	application	NOUN
ejpam-5614	66	4	is	be	AUX
ejpam-5614	66	5	presented	present	VERB
ejpam-5614	66	6	in	in	ADP
ejpam-5614	66	7	section	section	NOUN
ejpam-5614	66	8	4	4	NUM
ejpam-5614	66	9	.	.	PUNCT
ejpam-5614	67	1	the	the	DET
ejpam-5614	67	2	conclusion	conclusion	NOUN
ejpam-5614	67	3	of	of	ADP
ejpam-5614	67	4	the	the	DET
ejpam-5614	67	5	paper	paper	NOUN
ejpam-5614	67	6	and	and	CCONJ
ejpam-5614	67	7	future	future	ADJ
ejpam-5614	67	8	work	work	NOUN
ejpam-5614	67	9	are	be	AUX
ejpam-5614	67	10	presented	present	VERB
ejpam-5614	67	11	in	in	ADP
ejpam-5614	67	12	section	section	NOUN
ejpam-5614	67	13	5	5	NUM
ejpam-5614	67	14	.	.	SYM
ejpam-5614	67	15	2	2	NUM
ejpam-5614	67	16	.	.	X
ejpam-5614	67	17	methodology	methodology	NOUN
ejpam-5614	67	18	in	in	ADP
ejpam-5614	67	19	this	this	DET
ejpam-5614	67	20	section	section	NOUN
ejpam-5614	67	21	,	,	PUNCT
ejpam-5614	67	22	we	we	PRON
ejpam-5614	67	23	propose	propose	VERB
ejpam-5614	67	24	an	an	DET
ejpam-5614	67	25	algorithm	algorithm	NOUN
ejpam-5614	67	26	for	for	ADP
ejpam-5614	67	27	finding	find	VERB
ejpam-5614	67	28	the	the	DET
ejpam-5614	67	29	upper	upper	ADJ
ejpam-5614	67	30	bound	bound	NOUN
ejpam-5614	67	31	of	of	ADP
ejpam-5614	67	32	the	the	DET
ejpam-5614	67	33	radio	radio	NOUN
ejpam-5614	67	34	labeling	labeling	NOUN
ejpam-5614	67	35	for	for	ADP
ejpam-5614	67	36	a	a	DET
ejpam-5614	67	37	graph	graph	NOUN
ejpam-5614	67	38	g.	g.	NOUN
ejpam-5614	67	39	we	we	PRON
ejpam-5614	67	40	explain	explain	VERB
ejpam-5614	67	41	the	the	DET
ejpam-5614	67	42	mechanism	mechanism	NOUN
ejpam-5614	67	43	of	of	ADP
ejpam-5614	67	44	the	the	DET
ejpam-5614	67	45	proposed	propose	VERB
ejpam-5614	67	46	algorithm	algorithm	NOUN
ejpam-5614	67	47	and	and	CCONJ
ejpam-5614	67	48	its	its	PRON
ejpam-5614	67	49	time	time	NOUN
ejpam-5614	67	50	complexity	complexity	NOUN
ejpam-5614	67	51	.	.	PUNCT
ejpam-5614	68	1	on	on	ADP
ejpam-5614	68	2	the	the	DET
ejpam-5614	68	3	other	other	ADJ
ejpam-5614	68	4	hand	hand	NOUN
ejpam-5614	68	5	,	,	PUNCT
ejpam-5614	68	6	theorem	theorem	VERB
ejpam-5614	68	7	1	1	NUM
ejpam-5614	68	8	is	be	AUX
ejpam-5614	68	9	introduced	introduce	VERB
ejpam-5614	68	10	to	to	PART
ejpam-5614	68	11	prove	prove	VERB
ejpam-5614	68	12	the	the	DET
ejpam-5614	68	13	validation	validation	NOUN
ejpam-5614	68	14	of	of	ADP
ejpam-5614	68	15	this	this	DET
ejpam-5614	68	16	algorithm	algorithm	NOUN
ejpam-5614	68	17	.	.	PUNCT
ejpam-5614	69	1	the	the	DET
ejpam-5614	69	2	basic	basic	ADJ
ejpam-5614	69	3	idea	idea	NOUN
ejpam-5614	69	4	of	of	ADP
ejpam-5614	69	5	radio	radio	NOUN
ejpam-5614	69	6	number	number	NOUN
ejpam-5614	69	7	upper	upper	ADJ
ejpam-5614	69	8	bound	bind	VERB
ejpam-5614	69	9	optimization	optimization	NOUN
ejpam-5614	69	10	is	be	AUX
ejpam-5614	69	11	how	how	SCONJ
ejpam-5614	69	12	to	to	PART
ejpam-5614	69	13	choose	choose	VERB
ejpam-5614	69	14	the	the	DET
ejpam-5614	69	15	vertex	vertex	NOUN
ejpam-5614	69	16	that	that	PRON
ejpam-5614	69	17	has	have	VERB
ejpam-5614	69	18	the	the	DET
ejpam-5614	69	19	labeling	labeling	NOUN
ejpam-5614	69	20	zero	zero	NUM
ejpam-5614	69	21	.	.	PUNCT
ejpam-5614	70	1	in	in	ADP
ejpam-5614	70	2	2012	2012	NUM
ejpam-5614	70	3	,	,	PUNCT
ejpam-5614	70	4	saha	saha	NOUN
ejpam-5614	70	5	and	and	CCONJ
ejpam-5614	70	6	panigrahi	panigrahi	NOUN
ejpam-5614	70	7	[	[	X
ejpam-5614	70	8	30	30	NUM
ejpam-5614	70	9	]	]	PUNCT
ejpam-5614	70	10	presented	present	VERB
ejpam-5614	70	11	an	an	DET
ejpam-5614	70	12	algorithm	algorithm	NOUN
ejpam-5614	70	13	to	to	PART
ejpam-5614	70	14	find	find	VERB
ejpam-5614	70	15	the	the	DET
ejpam-5614	70	16	upper	upper	ADJ
ejpam-5614	70	17	bound	bind	VERB
ejpam-5614	70	18	and	and	CCONJ
ejpam-5614	70	19	lower	low	ADJ
ejpam-5614	70	20	bound	bind	VERB
ejpam-5614	70	21	of	of	ADP
ejpam-5614	70	22	a	a	DET
ejpam-5614	70	23	radio	radio	NOUN
ejpam-5614	70	24	number	number	NOUN
ejpam-5614	70	25	for	for	ADP
ejpam-5614	70	26	a	a	DET
ejpam-5614	70	27	graph	graph	NOUN
ejpam-5614	70	28	.	.	PUNCT
ejpam-5614	71	1	they	they	PRON
ejpam-5614	71	2	fixed	fix	VERB
ejpam-5614	71	3	the	the	DET
ejpam-5614	71	4	zero	zero	NUM
ejpam-5614	71	5	label	label	NOUN
ejpam-5614	71	6	n.	n.	NOUN
ejpam-5614	71	7	m.	m.	NOUN
ejpam-5614	71	8	noureldeen	noureldeen	NOUN
ejpam-5614	71	9	et	et	PROPN
ejpam-5614	71	10	al	al	PROPN
ejpam-5614	71	11	.	.	PUNCT
ejpam-5614	71	12	/	/	SYM
ejpam-5614	71	13	eur	eur	PROPN
ejpam-5614	71	14	.	.	PUNCT
ejpam-5614	72	1	j.	j.	PROPN
ejpam-5614	72	2	pure	pure	PROPN
ejpam-5614	72	3	appl	appl	PROPN
ejpam-5614	72	4	.	.	PROPN
ejpam-5614	72	5	math	math	PROPN
ejpam-5614	72	6	,	,	PUNCT
ejpam-5614	72	7	18	18	NUM
ejpam-5614	72	8	(	(	PUNCT
ejpam-5614	72	9	1	1	NUM
ejpam-5614	72	10	)	)	PUNCT
ejpam-5614	72	11	(	(	PUNCT
ejpam-5614	72	12	2025	2025	NUM
ejpam-5614	72	13	)	)	PUNCT
ejpam-5614	72	14	,	,	PUNCT
ejpam-5614	72	15	5614	5614	NUM
ejpam-5614	72	16	4	4	NUM
ejpam-5614	72	17	of	of	ADP
ejpam-5614	72	18	18	18	NUM
ejpam-5614	72	19	for	for	ADP
ejpam-5614	72	20	the	the	DET
ejpam-5614	72	21	first	first	ADJ
ejpam-5614	72	22	vertex	vertex	NOUN
ejpam-5614	72	23	while	while	SCONJ
ejpam-5614	72	24	badr	badr	PROPN
ejpam-5614	72	25	and	and	CCONJ
ejpam-5614	72	26	moussa	moussa	PROPN
ejpam-5614	73	1	[	[	X
ejpam-5614	73	2	6	6	NUM
ejpam-5614	73	3	]	]	PUNCT
ejpam-5614	73	4	proposed	propose	VERB
ejpam-5614	73	5	an	an	DET
ejpam-5614	73	6	algorithm	algorithm	NOUN
ejpam-5614	73	7	that	that	PRON
ejpam-5614	73	8	give	give	VERB
ejpam-5614	73	9	an	an	DET
ejpam-5614	73	10	upper	upper	ADJ
ejpam-5614	73	11	bound	bind	VERB
ejpam-5614	73	12	better	well	ADV
ejpam-5614	73	13	than	than	ADP
ejpam-5614	73	14	the	the	DET
ejpam-5614	73	15	results	result	NOUN
ejpam-5614	73	16	are	be	AUX
ejpam-5614	73	17	due	due	ADJ
ejpam-5614	73	18	to	to	ADP
ejpam-5614	73	19	saha	saha	PROPN
ejpam-5614	74	1	[	[	X
ejpam-5614	74	2	30	30	NUM
ejpam-5614	74	3	]	]	PUNCT
ejpam-5614	74	4	.	.	PUNCT
ejpam-5614	75	1	in	in	ADP
ejpam-5614	75	2	[	[	X
ejpam-5614	75	3	6	6	NUM
ejpam-5614	75	4	]	]	PUNCT
ejpam-5614	75	5	the	the	DET
ejpam-5614	75	6	label	label	NOUN
ejpam-5614	75	7	zero	zero	NUM
ejpam-5614	75	8	is	be	AUX
ejpam-5614	75	9	moved	move	VERB
ejpam-5614	75	10	from	from	ADP
ejpam-5614	75	11	one	one	NUM
ejpam-5614	75	12	vertex	vertex	NOUN
ejpam-5614	75	13	to	to	ADP
ejpam-5614	75	14	another	another	DET
ejpam-5614	75	15	vertex	vertex	NOUN
ejpam-5614	75	16	in	in	ADP
ejpam-5614	75	17	order	order	NOUN
ejpam-5614	75	18	to	to	PART
ejpam-5614	75	19	obtain	obtain	VERB
ejpam-5614	75	20	a	a	DET
ejpam-5614	75	21	better	well	ADJ
ejpam-5614	75	22	upper	upper	ADJ
ejpam-5614	75	23	bound	bind	VERB
ejpam-5614	75	24	for	for	ADP
ejpam-5614	75	25	the	the	DET
ejpam-5614	75	26	radio	radio	NOUN
ejpam-5614	75	27	number	number	NOUN
ejpam-5614	75	28	.	.	PUNCT
ejpam-5614	76	1	figure	figure	NOUN
ejpam-5614	76	2	1	1	NUM
ejpam-5614	76	3	:	:	PUNCT
ejpam-5614	76	4	the	the	DET
ejpam-5614	76	5	label	label	NOUN
ejpam-5614	76	6	zero	zero	NUM
ejpam-5614	76	7	randomly	randomly	ADV
ejpam-5614	76	8	selected	select	VERB
ejpam-5614	76	9	and	and	CCONJ
ejpam-5614	76	10	fixed	fix	VERB
ejpam-5614	76	11	at	at	ADP
ejpam-5614	76	12	x1	x1	PROPN
ejpam-5614	76	13	according	accord	VERB
ejpam-5614	76	14	to	to	ADP
ejpam-5614	76	15	laxman	laxman	PROPN
ejpam-5614	76	16	saha	saha	PROPN
ejpam-5614	77	1	[	[	X
ejpam-5614	77	2	30	30	NUM
ejpam-5614	77	3	]	]	PUNCT
ejpam-5614	77	4	.	.	PUNCT
ejpam-5614	78	1	figure	figure	NOUN
ejpam-5614	78	2	2	2	NUM
ejpam-5614	78	3	:	:	PUNCT
ejpam-5614	78	4	the	the	DET
ejpam-5614	78	5	label	label	NOUN
ejpam-5614	78	6	zero	zero	NUM
ejpam-5614	78	7	moves	move	NOUN
ejpam-5614	78	8	from	from	ADP
ejpam-5614	78	9	x1	x1	PROPN
ejpam-5614	78	10	to	to	ADP
ejpam-5614	78	11	x4	x4	PROPN
ejpam-5614	78	12	according	accord	VERB
ejpam-5614	78	13	to	to	ADP
ejpam-5614	78	14	badr	badr	PROPN
ejpam-5614	79	1	[	[	X
ejpam-5614	79	2	6	6	NUM
ejpam-5614	79	3	]	]	PUNCT
ejpam-5614	79	4	.	.	PUNCT
ejpam-5614	80	1	figure	figure	VERB
ejpam-5614	80	2	3	3	NUM
ejpam-5614	80	3	:	:	PUNCT
ejpam-5614	80	4	the	the	DET
ejpam-5614	80	5	label	label	NOUN
ejpam-5614	80	6	zero	zero	NUM
ejpam-5614	80	7	fixed	fix	VERB
ejpam-5614	80	8	at	at	ADP
ejpam-5614	80	9	x2	x2	PROPN
ejpam-5614	80	10	according	accord	VERB
ejpam-5614	80	11	to	to	ADP
ejpam-5614	80	12	the	the	DET
ejpam-5614	80	13	proposed	propose	VERB
ejpam-5614	80	14	algorithm	algorithm	NOUN
ejpam-5614	80	15	figure	figure	NOUN
ejpam-5614	80	16	1	1	NUM
ejpam-5614	80	17	shows	show	VERB
ejpam-5614	80	18	that	that	SCONJ
ejpam-5614	80	19	saha	saha	NOUN
ejpam-5614	80	20	and	and	CCONJ
ejpam-5614	80	21	panigrahi	panigrahi	NOUN
ejpam-5614	80	22	fixed	fix	VERB
ejpam-5614	80	23	the	the	DET
ejpam-5614	80	24	zero	zero	NUM
ejpam-5614	80	25	label	label	NOUN
ejpam-5614	80	26	for	for	ADP
ejpam-5614	80	27	the	the	DET
ejpam-5614	80	28	first	first	ADJ
ejpam-5614	80	29	vertex	vertex	NOUN
ejpam-5614	80	30	while	while	SCONJ
ejpam-5614	80	31	figure	figure	NOUN
ejpam-5614	80	32	2	2	NUM
ejpam-5614	80	33	shows	show	VERB
ejpam-5614	80	34	that	that	SCONJ
ejpam-5614	80	35	badr	badr	PROPN
ejpam-5614	80	36	and	and	CCONJ
ejpam-5614	80	37	moussa	moussa	PROPN
ejpam-5614	80	38	move	move	VERB
ejpam-5614	80	39	the	the	DET
ejpam-5614	80	40	zero	zero	NUM
ejpam-5614	80	41	label	label	NOUN
ejpam-5614	80	42	from	from	ADP
ejpam-5614	80	43	one	one	NUM
ejpam-5614	80	44	vertex	vertex	NOUN
ejpam-5614	80	45	to	to	ADP
ejpam-5614	80	46	another	another	DET
ejpam-5614	80	47	vertex	vertex	NOUN
ejpam-5614	80	48	in	in	ADP
ejpam-5614	80	49	order	order	NOUN
ejpam-5614	80	50	to	to	PART
ejpam-5614	80	51	obtain	obtain	VERB
ejpam-5614	80	52	a	a	DET
ejpam-5614	80	53	better	well	ADJ
ejpam-5614	80	54	upper	upper	ADJ
ejpam-5614	80	55	bound	bind	VERB
ejpam-5614	80	56	for	for	ADP
ejpam-5614	80	57	the	the	DET
ejpam-5614	80	58	radio	radio	NOUN
ejpam-5614	80	59	number	number	NOUN
ejpam-5614	80	60	.	.	PUNCT
ejpam-5614	81	1	finally	finally	ADV
ejpam-5614	81	2	,	,	PUNCT
ejpam-5614	81	3	figure	figure	VERB
ejpam-5614	81	4	3	3	NUM
ejpam-5614	81	5	shows	show	VERB
ejpam-5614	81	6	that	that	SCONJ
ejpam-5614	81	7	label	label	NOUN
ejpam-5614	81	8	zero	zero	NUM
ejpam-5614	81	9	will	will	AUX
ejpam-5614	81	10	assign	assign	VERB
ejpam-5614	81	11	to	to	ADP
ejpam-5614	81	12	the	the	DET
ejpam-5614	81	13	center	center	ADJ
ejpam-5614	81	14	vertex	vertex	NOUN
ejpam-5614	81	15	of	of	ADP
ejpam-5614	81	16	the	the	DET
ejpam-5614	81	17	given	give	VERB
ejpam-5614	81	18	graph	graph	NOUN
ejpam-5614	81	19	as	as	SCONJ
ejpam-5614	81	20	we	we	PRON
ejpam-5614	81	21	will	will	AUX
ejpam-5614	81	22	describe	describe	VERB
ejpam-5614	81	23	in	in	ADP
ejpam-5614	81	24	section	section	NOUN
ejpam-5614	81	25	2.1	2.1	NUM
ejpam-5614	81	26	.	.	PUNCT
ejpam-5614	81	27	2.1	2.1	NUM
ejpam-5614	81	28	.	.	PUNCT
ejpam-5614	82	1	the	the	DET
ejpam-5614	82	2	description	description	NOUN
ejpam-5614	82	3	of	of	ADP
ejpam-5614	82	4	the	the	DET
ejpam-5614	82	5	proposed	propose	VERB
ejpam-5614	82	6	algorithm	algorithm	NOUN
ejpam-5614	82	7	let	let	VERB
ejpam-5614	82	8	g	g	NOUN
ejpam-5614	82	9	be	be	AUX
ejpam-5614	82	10	a	a	DET
ejpam-5614	82	11	connected	connect	VERB
ejpam-5614	82	12	,	,	PUNCT
ejpam-5614	82	13	simple	simple	ADJ
ejpam-5614	82	14	,	,	PUNCT
ejpam-5614	82	15	and	and	CCONJ
ejpam-5614	82	16	undirected	undirected	ADJ
ejpam-5614	82	17	graph	graph	NOUN
ejpam-5614	82	18	with	with	ADP
ejpam-5614	82	19	n	n	ADP
ejpam-5614	82	20	vertices	vertex	NOUN
ejpam-5614	82	21	.	.	PUNCT
ejpam-5614	83	1	let	let	VERB
ejpam-5614	83	2	v	v	X
ejpam-5614	83	3	(	(	PUNCT
ejpam-5614	83	4	g	g	NOUN
ejpam-5614	83	5	)	)	PUNCT
ejpam-5614	83	6	be	be	VERB
ejpam-5614	83	7	the	the	DET
ejpam-5614	83	8	vertex	vertex	NOUN
ejpam-5614	83	9	set	set	NOUN
ejpam-5614	83	10	of	of	ADP
ejpam-5614	83	11	g.	g.	PROPN
ejpam-5614	83	12	for	for	ADP
ejpam-5614	83	13	a	a	DET
ejpam-5614	83	14	vertex	vertex	NOUN
ejpam-5614	83	15	u	u	NOUN
ejpam-5614	83	16	∈	∈	PROPN
ejpam-5614	83	17	v	v	NOUN
ejpam-5614	83	18	(	(	PUNCT
ejpam-5614	83	19	g	g	NOUN
ejpam-5614	83	20	)	)	PUNCT
ejpam-5614	83	21	,	,	PUNCT
ejpam-5614	83	22	let	let	VERB
ejpam-5614	83	23	the	the	DET
ejpam-5614	83	24	sum	sum	NOUN
ejpam-5614	83	25	of	of	ADP
ejpam-5614	83	26	distances	distance	NOUN
ejpam-5614	83	27	from	from	ADP
ejpam-5614	83	28	the	the	DET
ejpam-5614	83	29	vertex	vertex	NOUN
ejpam-5614	83	30	u	u	NOUN
ejpam-5614	83	31	to	to	ADP
ejpam-5614	83	32	every	every	DET
ejpam-5614	83	33	other	other	ADJ
ejpam-5614	83	34	vertex	vertex	NOUN
ejpam-5614	83	35	in	in	ADP
ejpam-5614	83	36	g	g	PROPN
ejpam-5614	83	37	is	be	AUX
ejpam-5614	83	38	ds(u	ds(u	NUM
ejpam-5614	83	39	)	)	PUNCT
ejpam-5614	83	40	.	.	PUNCT
ejpam-5614	84	1	thus	thus	ADV
ejpam-5614	84	2	,	,	PUNCT
ejpam-5614	84	3	ds(u	ds(u	X
ejpam-5614	84	4	)	)	PUNCT
ejpam-5614	84	5	=	=	SYM
ejpam-5614	84	6	∑	∑	PUNCT
ejpam-5614	84	7	v∈v	v∈v	NOUN
ejpam-5614	84	8	(	(	PUNCT
ejpam-5614	84	9	g	g	NOUN
ejpam-5614	84	10	)	)	PUNCT
ejpam-5614	84	11	d(u	d(u	PROPN
ejpam-5614	84	12	,	,	PUNCT
ejpam-5614	84	13	v	v	NOUN
ejpam-5614	84	14	)	)	PUNCT
ejpam-5614	84	15	.	.	PUNCT
ejpam-5614	85	1	let	let	VERB
ejpam-5614	85	2	x	x	PUNCT
ejpam-5614	85	3	=	=	PRON
ejpam-5614	85	4	{	{	PUNCT
ejpam-5614	85	5	ds(u	ds(u	NOUN
ejpam-5614	85	6	)	)	PUNCT
ejpam-5614	85	7	,	,	PUNCT
ejpam-5614	85	8	∀u	∀u	NOUN
ejpam-5614	85	9	∈	∈	NOUN
ejpam-5614	85	10	v	v	NOUN
ejpam-5614	85	11	(	(	PUNCT
ejpam-5614	85	12	g	g	NOUN
ejpam-5614	85	13	)	)	PUNCT
ejpam-5614	85	14	}	}	PUNCT
ejpam-5614	85	15	.	.	PUNCT
ejpam-5614	86	1	a	a	DET
ejpam-5614	86	2	vertex	vertex	NOUN
ejpam-5614	86	3	u	u	NOUN
ejpam-5614	86	4	is	be	AUX
ejpam-5614	86	5	said	say	VERB
ejpam-5614	86	6	to	to	PART
ejpam-5614	86	7	be	be	AUX
ejpam-5614	86	8	the	the	DET
ejpam-5614	86	9	center	center	NOUN
ejpam-5614	86	10	of	of	ADP
ejpam-5614	86	11	the	the	DET
ejpam-5614	86	12	graph	graph	NOUN
ejpam-5614	86	13	g	g	NOUN
ejpam-5614	86	14	if	if	SCONJ
ejpam-5614	86	15	ds(u	ds(u	NOUN
ejpam-5614	86	16	)	)	PUNCT
ejpam-5614	86	17	=	=	SYM
ejpam-5614	86	18	min(x	min(x	X
ejpam-5614	86	19	)	)	PUNCT
ejpam-5614	86	20	n.	n.	NOUN
ejpam-5614	86	21	m.	m.	NOUN
ejpam-5614	86	22	noureldeen	noureldeen	NOUN
ejpam-5614	86	23	et	et	PROPN
ejpam-5614	87	1	al	al	PROPN
ejpam-5614	87	2	.	.	PUNCT
ejpam-5614	87	3	/	/	SYM
ejpam-5614	87	4	eur	eur	PROPN
ejpam-5614	87	5	.	.	PUNCT
ejpam-5614	88	1	j.	j.	PROPN
ejpam-5614	88	2	pure	pure	PROPN
ejpam-5614	88	3	appl	appl	PROPN
ejpam-5614	88	4	.	.	PROPN
ejpam-5614	88	5	math	math	PROPN
ejpam-5614	88	6	,	,	PUNCT
ejpam-5614	88	7	18	18	NUM
ejpam-5614	88	8	(	(	PUNCT
ejpam-5614	88	9	1	1	NUM
ejpam-5614	88	10	)	)	PUNCT
ejpam-5614	88	11	(	(	PUNCT
ejpam-5614	88	12	2025	2025	NUM
ejpam-5614	88	13	)	)	PUNCT
ejpam-5614	88	14	,	,	PUNCT
ejpam-5614	88	15	5614	5614	NUM
ejpam-5614	88	16	5	5	NUM
ejpam-5614	88	17	of	of	ADP
ejpam-5614	88	18	18	18	NUM
ejpam-5614	88	19	hereafter	hereafter	ADV
ejpam-5614	88	20	,	,	PUNCT
ejpam-5614	88	21	we	we	PRON
ejpam-5614	88	22	use	use	VERB
ejpam-5614	88	23	the	the	DET
ejpam-5614	88	24	center	center	ADJ
ejpam-5614	88	25	vertex	vertex	NOUN
ejpam-5614	88	26	of	of	ADP
ejpam-5614	88	27	the	the	DET
ejpam-5614	88	28	graph	graph	NOUN
ejpam-5614	88	29	g	g	NOUN
ejpam-5614	88	30	to	to	PART
ejpam-5614	88	31	find	find	VERB
ejpam-5614	88	32	the	the	DET
ejpam-5614	88	33	upper	upper	ADJ
ejpam-5614	88	34	bound	bind	VERB
ejpam-5614	88	35	of	of	ADP
ejpam-5614	88	36	the	the	DET
ejpam-5614	88	37	radio	radio	NOUN
ejpam-5614	88	38	number	number	NOUN
ejpam-5614	88	39	of	of	ADP
ejpam-5614	88	40	g.	g.	PROPN
ejpam-5614	88	41	we	we	PRON
ejpam-5614	88	42	aim	aim	VERB
ejpam-5614	88	43	to	to	PART
ejpam-5614	88	44	assign	assign	VERB
ejpam-5614	88	45	a	a	DET
ejpam-5614	88	46	radio	radio	NOUN
ejpam-5614	88	47	labeling	labeling	NOUN
ejpam-5614	88	48	l	l	NOUN
ejpam-5614	88	49	to	to	ADP
ejpam-5614	88	50	these	these	DET
ejpam-5614	88	51	vertices	vertex	NOUN
ejpam-5614	88	52	such	such	ADJ
ejpam-5614	88	53	l	l	NOUN
ejpam-5614	88	54	(	(	PUNCT
ejpam-5614	88	55	v0	v0	NOUN
ejpam-5614	88	56	)	)	PUNCT
ejpam-5614	88	57	<	<	X
ejpam-5614	88	58	l	l	X
ejpam-5614	88	59	(	(	PUNCT
ejpam-5614	88	60	v1	v1	NOUN
ejpam-5614	88	61	)	)	PUNCT
ejpam-5614	88	62	<	<	X
ejpam-5614	88	63	l	l	X
ejpam-5614	88	64	(	(	PUNCT
ejpam-5614	88	65	v2	v2	PROPN
ejpam-5614	88	66	)	)	PUNCT
ejpam-5614	88	67	<	<	X
ejpam-5614	88	68	.	.	PUNCT
ejpam-5614	88	69	.	.	PUNCT
ejpam-5614	88	70	.	.	PUNCT
ejpam-5614	89	1	<	<	X
ejpam-5614	89	2	l	l	X
ejpam-5614	89	3	(	(	PUNCT
ejpam-5614	89	4	vn−1	vn−1	PROPN
ejpam-5614	89	5	)	)	PUNCT
ejpam-5614	89	6	.	.	PUNCT
ejpam-5614	90	1	if	if	SCONJ
ejpam-5614	90	2	l	l	NOUN
ejpam-5614	90	3	is	be	AUX
ejpam-5614	90	4	a	a	DET
ejpam-5614	90	5	radio	radio	NOUN
ejpam-5614	90	6	labeling	labeling	NOUN
ejpam-5614	90	7	of	of	ADP
ejpam-5614	90	8	g	g	NOUN
ejpam-5614	90	9	,	,	PUNCT
ejpam-5614	90	10	then	then	ADV
ejpam-5614	90	11	|l	|l	PROPN
ejpam-5614	90	12	(	(	PUNCT
ejpam-5614	90	13	vj+1)−	vj+1)−	PROPN
ejpam-5614	90	14	l	l	NOUN
ejpam-5614	90	15	(	(	PUNCT
ejpam-5614	90	16	vj)|	vj)|	NOUN
ejpam-5614	90	17	≥	≥	NUM
ejpam-5614	90	18	diam(g	diam(g	NOUN
ejpam-5614	90	19	)	)	PUNCT
ejpam-5614	91	1	+	+	CCONJ
ejpam-5614	91	2	1−	1−	NUM
ejpam-5614	91	3	d	d	NOUN
ejpam-5614	91	4	(	(	PUNCT
ejpam-5614	91	5	vj+1	vj+1	PROPN
ejpam-5614	91	6	,	,	PUNCT
ejpam-5614	91	7	vj	vj	INTJ
ejpam-5614	91	8	)	)	PUNCT
ejpam-5614	91	9	for	for	ADP
ejpam-5614	91	10	all	all	PRON
ejpam-5614	91	11	0	0	NUM
ejpam-5614	91	12	≤	≤	NUM
ejpam-5614	91	13	j	j	PROPN
ejpam-5614	91	14	≤	≤	PROPN
ejpam-5614	91	15	n−	n−	PROPN
ejpam-5614	91	16	2	2	NUM
ejpam-5614	91	17	.	.	PUNCT
ejpam-5614	92	1	consequently	consequently	ADV
ejpam-5614	92	2	,	,	PUNCT
ejpam-5614	92	3	l	l	PROPN
ejpam-5614	92	4	(	(	PUNCT
ejpam-5614	92	5	vj+1)−	vj+1)−	PROPN
ejpam-5614	92	6	l	l	NOUN
ejpam-5614	92	7	(	(	PUNCT
ejpam-5614	92	8	vj	vj	PROPN
ejpam-5614	92	9	)	)	PUNCT
ejpam-5614	92	10	=	=	SYM
ejpam-5614	92	11	diam(g	diam(g	NOUN
ejpam-5614	92	12	)	)	PUNCT
ejpam-5614	93	1	+	+	CCONJ
ejpam-5614	94	1	1−	1−	NUM
ejpam-5614	94	2	d	d	NOUN
ejpam-5614	94	3	(	(	PUNCT
ejpam-5614	94	4	vj+1	vj+1	PROPN
ejpam-5614	94	5	,	,	PUNCT
ejpam-5614	94	6	vj	vj	INTJ
ejpam-5614	94	7	)	)	PUNCT
ejpam-5614	95	1	+	+	ADV
ejpam-5614	95	2	σj	σj	VERB
ejpam-5614	95	3	such	such	ADJ
ejpam-5614	95	4	that	that	DET
ejpam-5614	95	5	σj	σj	NOUN
ejpam-5614	95	6	is	be	AUX
ejpam-5614	95	7	a	a	DET
ejpam-5614	95	8	positive	positive	ADJ
ejpam-5614	95	9	integer	integer	NOUN
ejpam-5614	95	10	.	.	PUNCT
ejpam-5614	96	1	moreover	moreover	ADV
ejpam-5614	96	2	,	,	PUNCT
ejpam-5614	96	3	l	l	X
ejpam-5614	96	4	(	(	PUNCT
ejpam-5614	96	5	vj+1	vj+1	X
ejpam-5614	96	6	)	)	PUNCT
ejpam-5614	96	7	=	=	SYM
ejpam-5614	96	8	l	l	NOUN
ejpam-5614	96	9	(	(	PUNCT
ejpam-5614	96	10	vj	vj	PROPN
ejpam-5614	96	11	)	)	PUNCT
ejpam-5614	96	12	+	+	CCONJ
ejpam-5614	96	13	(	(	PUNCT
ejpam-5614	96	14	diam(g	diam(g	NOUN
ejpam-5614	96	15	)	)	PUNCT
ejpam-5614	96	16	+	+	PROPN
ejpam-5614	97	1	1)−	1)−	NUM
ejpam-5614	97	2	d	d	PROPN
ejpam-5614	97	3	(	(	PUNCT
ejpam-5614	97	4	vj+1	vj+1	PROPN
ejpam-5614	97	5	,	,	PUNCT
ejpam-5614	97	6	vj	vj	INTJ
ejpam-5614	97	7	)	)	PUNCT
ejpam-5614	98	1	+	+	ADV
ejpam-5614	98	2	σj	σj	VERB
ejpam-5614	98	3	for	for	ADP
ejpam-5614	98	4	all	all	PRON
ejpam-5614	98	5	0	0	NUM
ejpam-5614	98	6	≤	≤	NUM
ejpam-5614	98	7	j	j	PROPN
ejpam-5614	98	8	≤	≤	PROPN
ejpam-5614	98	9	n−	n−	PROPN
ejpam-5614	98	10	2	2	NUM
ejpam-5614	98	11	.	.	PUNCT
ejpam-5614	98	12	therefore	therefore	ADV
ejpam-5614	98	13	,	,	PUNCT
ejpam-5614	98	14	l	l	X
ejpam-5614	98	15	(	(	PUNCT
ejpam-5614	98	16	vn−1	vn−1	ADJ
ejpam-5614	98	17	)	)	PUNCT
ejpam-5614	98	18	=	=	SYM
ejpam-5614	98	19	l	l	NOUN
ejpam-5614	98	20	(	(	PUNCT
ejpam-5614	98	21	v0)+	v0)+	NOUN
ejpam-5614	98	22	(	(	PUNCT
ejpam-5614	98	23	n	n	CCONJ
ejpam-5614	98	24	−	−	PROPN
ejpam-5614	98	25	1	1	NUM
ejpam-5614	98	26	)	)	PUNCT
ejpam-5614	98	27	(	(	PUNCT
ejpam-5614	98	28	diam(g	diam(g	NOUN
ejpam-5614	98	29	)	)	PUNCT
ejpam-5614	98	30	+	+	CCONJ
ejpam-5614	98	31	1	1	X
ejpam-5614	98	32	)	)	PUNCT
ejpam-5614	98	33	−	−	PROPN
ejpam-5614	98	34	∑n−2	∑n−2	NOUN
ejpam-5614	98	35	j=0	j=0	PROPN
ejpam-5614	98	36	d	d	PROPN
ejpam-5614	98	37	(	(	PUNCT
ejpam-5614	98	38	vj+1	vj+1	PROPN
ejpam-5614	98	39	,	,	PUNCT
ejpam-5614	98	40	vj	vj	INTJ
ejpam-5614	98	41	)	)	PUNCT
ejpam-5614	98	42	+	+	NUM
ejpam-5614	98	43	∑n−2	∑n−2	X
ejpam-5614	98	44	j=0	j=0	PROPN
ejpam-5614	98	45	σj	σj	VERB
ejpam-5614	98	46	as	as	ADP
ejpam-5614	98	47	,	,	PUNCT
ejpam-5614	98	48	l	l	NOUN
ejpam-5614	98	49	(	(	PUNCT
ejpam-5614	98	50	v0	v0	NOUN
ejpam-5614	98	51	)	)	PUNCT
ejpam-5614	98	52	<	<	X
ejpam-5614	98	53	l	l	X
ejpam-5614	98	54	(	(	PUNCT
ejpam-5614	98	55	v1	v1	NOUN
ejpam-5614	98	56	)	)	PUNCT
ejpam-5614	98	57	<	<	X
ejpam-5614	98	58	l	l	X
ejpam-5614	98	59	(	(	PUNCT
ejpam-5614	98	60	v2	v2	PROPN
ejpam-5614	98	61	)	)	PUNCT
ejpam-5614	98	62	<	<	X
ejpam-5614	98	63	.	.	PUNCT
ejpam-5614	98	64	.	.	PUNCT
ejpam-5614	98	65	.	.	PUNCT
ejpam-5614	99	1	<	<	X
ejpam-5614	99	2	l	l	X
ejpam-5614	99	3	(	(	PUNCT
ejpam-5614	99	4	vn−1	vn−1	PROPN
ejpam-5614	99	5	)	)	PUNCT
ejpam-5614	99	6	then	then	ADV
ejpam-5614	99	7	,	,	PUNCT
ejpam-5614	99	8	span	span	NOUN
ejpam-5614	99	9	(	(	PUNCT
ejpam-5614	99	10	l	l	NOUN
ejpam-5614	99	11	)	)	PUNCT
ejpam-5614	99	12	=	=	SYM
ejpam-5614	99	13	l	l	NOUN
ejpam-5614	99	14	(	(	PUNCT
ejpam-5614	99	15	vn−1	vn−1	PROPN
ejpam-5614	99	16	)	)	PUNCT
ejpam-5614	99	17	.	.	PUNCT
ejpam-5614	100	1	consequently	consequently	ADV
ejpam-5614	100	2	,	,	PUNCT
ejpam-5614	100	3	rn(g	rn(g	NUM
ejpam-5614	100	4	)	)	PUNCT
ejpam-5614	100	5	≤	≤	NUM
ejpam-5614	100	6	l	l	NOUN
ejpam-5614	100	7	(	(	PUNCT
ejpam-5614	100	8	vn	vn	NOUN
ejpam-5614	100	9	)	)	PUNCT
ejpam-5614	100	10	.	.	PUNCT
ejpam-5614	101	1	our	our	PRON
ejpam-5614	101	2	claim	claim	NOUN
ejpam-5614	101	3	now	now	ADV
ejpam-5614	101	4	is	be	AUX
ejpam-5614	101	5	to	to	PART
ejpam-5614	101	6	minimize	minimize	VERB
ejpam-5614	101	7	∑n−2	∑n−2	NOUN
ejpam-5614	101	8	j=0	j=0	PROPN
ejpam-5614	101	9	d	d	PROPN
ejpam-5614	101	10	(	(	PUNCT
ejpam-5614	101	11	vj+1	vj+1	PROPN
ejpam-5614	101	12	,	,	PUNCT
ejpam-5614	101	13	vj	vj	INTJ
ejpam-5614	101	14	)	)	PUNCT
ejpam-5614	101	15	+	+	NUM
ejpam-5614	101	16	∑n−2	∑n−2	X
ejpam-5614	101	17	j=0	j=0	PROPN
ejpam-5614	101	18	σj	σj	VERB
ejpam-5614	101	19	for	for	ADP
ejpam-5614	101	20	all	all	PRON
ejpam-5614	101	21	0	0	NUM
ejpam-5614	101	22	≤	≤	NUM
ejpam-5614	101	23	j	j	PROPN
ejpam-5614	101	24	≤	≤	PROPN
ejpam-5614	101	25	n−	n−	PROPN
ejpam-5614	101	26	2	2	NUM
ejpam-5614	101	27	.	.	PUNCT
ejpam-5614	101	28	satisfying	satisfy	VERB
ejpam-5614	101	29	that	that	SCONJ
ejpam-5614	101	30	|l	|l	PROPN
ejpam-5614	101	31	(	(	PUNCT
ejpam-5614	101	32	vj+1)−	vj+1)−	PROPN
ejpam-5614	101	33	l	l	NOUN
ejpam-5614	101	34	(	(	PUNCT
ejpam-5614	101	35	vj)|	vj)|	NOUN
ejpam-5614	101	36	≥	≥	NUM
ejpam-5614	101	37	diam(g	diam(g	NOUN
ejpam-5614	101	38	)	)	PUNCT
ejpam-5614	102	1	+	+	CCONJ
ejpam-5614	102	2	1−	1−	NUM
ejpam-5614	102	3	d	d	NOUN
ejpam-5614	102	4	(	(	PUNCT
ejpam-5614	102	5	vj+1	vj+1	PROPN
ejpam-5614	102	6	,	,	PUNCT
ejpam-5614	102	7	vj	vj	PROPN
ejpam-5614	102	8	)	)	PUNCT
ejpam-5614	102	9	;	;	PUNCT
ejpam-5614	102	10	0	0	NUM
ejpam-5614	102	11	≤	≤	NUM
ejpam-5614	102	12	j	j	PROPN
ejpam-5614	102	13	≤	≤	PROPN
ejpam-5614	102	14	n−	n−	PROPN
ejpam-5614	102	15	2	2	NUM
ejpam-5614	102	16	.	.	PUNCT
ejpam-5614	103	1	the	the	DET
ejpam-5614	103	2	radio	radio	NOUN
ejpam-5614	103	3	labeling	labeling	NOUN
ejpam-5614	103	4	of	of	ADP
ejpam-5614	103	5	the	the	DET
ejpam-5614	103	6	vertex	vertex	NOUN
ejpam-5614	103	7	v1	v1	NOUN
ejpam-5614	103	8	will	will	AUX
ejpam-5614	103	9	be	be	AUX
ejpam-5614	103	10	as	as	ADP
ejpam-5614	103	11	follow	follow	NOUN
ejpam-5614	103	12	l	l	NOUN
ejpam-5614	103	13	(	(	PUNCT
ejpam-5614	103	14	v1	v1	NOUN
ejpam-5614	103	15	)	)	PUNCT
ejpam-5614	103	16	≥	≥	NOUN
ejpam-5614	103	17	l	l	NOUN
ejpam-5614	103	18	(	(	PUNCT
ejpam-5614	103	19	v0	v0	NOUN
ejpam-5614	103	20	)	)	PUNCT
ejpam-5614	104	1	+	+	CCONJ
ejpam-5614	104	2	(	(	PUNCT
ejpam-5614	104	3	diam(g	diam(g	NOUN
ejpam-5614	104	4	)	)	PUNCT
ejpam-5614	104	5	+	+	PROPN
ejpam-5614	105	1	1)−	1)−	PROPN
ejpam-5614	105	2	d	d	PROPN
ejpam-5614	105	3	(	(	PUNCT
ejpam-5614	105	4	v1	v1	PROPN
ejpam-5614	105	5	,	,	PUNCT
ejpam-5614	105	6	v0	v0	NOUN
ejpam-5614	105	7	)	)	PUNCT
ejpam-5614	105	8	as	as	SCONJ
ejpam-5614	105	9	we	we	PRON
ejpam-5614	105	10	assume	assume	VERB
ejpam-5614	106	1	that	that	SCONJ
ejpam-5614	106	2	l	l	NOUN
ejpam-5614	106	3	(	(	PUNCT
ejpam-5614	106	4	v0	v0	NOUN
ejpam-5614	106	5	)	)	PUNCT
ejpam-5614	106	6	=	=	SYM
ejpam-5614	106	7	0	0	PUNCT
ejpam-5614	107	1	then	then	ADV
ejpam-5614	107	2	the	the	DET
ejpam-5614	107	3	upper	upper	ADJ
ejpam-5614	107	4	bound	bound	NOUN
ejpam-5614	107	5	of	of	ADP
ejpam-5614	107	6	the	the	DET
ejpam-5614	107	7	value	value	NOUN
ejpam-5614	107	8	of	of	ADP
ejpam-5614	107	9	l	l	NOUN
ejpam-5614	107	10	(	(	PUNCT
ejpam-5614	107	11	v1	v1	NOUN
ejpam-5614	107	12	)	)	PUNCT
ejpam-5614	107	13	will	will	AUX
ejpam-5614	107	14	depend	depend	VERB
ejpam-5614	107	15	only	only	ADV
ejpam-5614	107	16	on	on	ADP
ejpam-5614	107	17	the	the	DET
ejpam-5614	107	18	value	value	NOUN
ejpam-5614	107	19	of	of	ADP
ejpam-5614	107	20	d	d	PROPN
ejpam-5614	107	21	(	(	PUNCT
ejpam-5614	107	22	v1	v1	PROPN
ejpam-5614	107	23	,	,	PUNCT
ejpam-5614	107	24	v0	v0	NOUN
ejpam-5614	107	25	)	)	PUNCT
ejpam-5614	107	26	.	.	PUNCT
ejpam-5614	108	1	the	the	PRON
ejpam-5614	108	2	less	less	ADJ
ejpam-5614	108	3	the	the	DET
ejpam-5614	108	4	value	value	NOUN
ejpam-5614	108	5	of	of	ADP
ejpam-5614	108	6	d	d	PROPN
ejpam-5614	108	7	(	(	PUNCT
ejpam-5614	108	8	v1	v1	PROPN
ejpam-5614	108	9	,	,	PUNCT
ejpam-5614	108	10	v0	v0	NOUN
ejpam-5614	108	11	)	)	PUNCT
ejpam-5614	108	12	,	,	PUNCT
ejpam-5614	108	13	the	the	DET
ejpam-5614	108	14	more	more	ADJ
ejpam-5614	108	15	value	value	NOUN
ejpam-5614	108	16	of	of	ADP
ejpam-5614	108	17	l	l	NOUN
ejpam-5614	108	18	(	(	PUNCT
ejpam-5614	108	19	v1	v1	NOUN
ejpam-5614	108	20	)	)	PUNCT
ejpam-5614	108	21	.	.	PUNCT
ejpam-5614	109	1	hence	hence	ADV
ejpam-5614	109	2	,	,	PUNCT
ejpam-5614	109	3	it	it	PRON
ejpam-5614	109	4	is	be	AUX
ejpam-5614	109	5	a	a	DET
ejpam-5614	109	6	good	good	ADJ
ejpam-5614	109	7	choice	choice	NOUN
ejpam-5614	109	8	when	when	SCONJ
ejpam-5614	109	9	we	we	PRON
ejpam-5614	109	10	choose	choose	VERB
ejpam-5614	109	11	v0	v0	NOUN
ejpam-5614	109	12	to	to	PART
ejpam-5614	109	13	be	be	AUX
ejpam-5614	109	14	the	the	DET
ejpam-5614	109	15	center	center	ADJ
ejpam-5614	109	16	vertex	vertex	NOUN
ejpam-5614	109	17	of	of	ADP
ejpam-5614	109	18	g.	g.	PROPN
ejpam-5614	109	19	after	after	SCONJ
ejpam-5614	109	20	that	that	PRON
ejpam-5614	109	21	we	we	PRON
ejpam-5614	109	22	work	work	VERB
ejpam-5614	109	23	to	to	PART
ejpam-5614	109	24	label	label	VERB
ejpam-5614	109	25	a	a	DET
ejpam-5614	109	26	vertex	vertex	NOUN
ejpam-5614	109	27	from	from	ADP
ejpam-5614	109	28	v	v	NUM
ejpam-5614	109	29	(	(	PUNCT
ejpam-5614	109	30	g	g	NOUN
ejpam-5614	109	31	)	)	PUNCT
ejpam-5614	109	32	differ	differ	VERB
ejpam-5614	109	33	from	from	ADP
ejpam-5614	109	34	v1	v1	NOUN
ejpam-5614	109	35	,	,	PUNCT
ejpam-5614	109	36	v0	v0	NOUN
ejpam-5614	109	37	and	and	CCONJ
ejpam-5614	109	38	consider	consider	VERB
ejpam-5614	109	39	this	this	DET
ejpam-5614	109	40	vertex	vertex	NOUN
ejpam-5614	109	41	as	as	ADP
ejpam-5614	109	42	v2	v2	NOUN
ejpam-5614	109	43	satisfying	satisfy	VERB
ejpam-5614	110	1	that	that	SCONJ
ejpam-5614	110	2	|l	|l	PROPN
ejpam-5614	110	3	(	(	PUNCT
ejpam-5614	110	4	v2)−	v2)−	PROPN
ejpam-5614	110	5	l	l	NOUN
ejpam-5614	110	6	(	(	PUNCT
ejpam-5614	110	7	v1)|	v1)|	PROPN
ejpam-5614	110	8	≥	≥	NUM
ejpam-5614	110	9	diam(g	diam(g	NOUN
ejpam-5614	110	10	)	)	PUNCT
ejpam-5614	110	11	+	+	CCONJ
ejpam-5614	110	12	1−	1−	NUM
ejpam-5614	110	13	d	d	NOUN
ejpam-5614	110	14	(	(	PUNCT
ejpam-5614	110	15	v2	v2	NOUN
ejpam-5614	110	16	,	,	PUNCT
ejpam-5614	110	17	v1	v1	NOUN
ejpam-5614	110	18	)	)	PUNCT
ejpam-5614	110	19	and	and	CCONJ
ejpam-5614	110	20	|l	|l	PROPN
ejpam-5614	110	21	(	(	PUNCT
ejpam-5614	110	22	v2)−	v2)−	PROPN
ejpam-5614	110	23	l	l	NOUN
ejpam-5614	110	24	(	(	PUNCT
ejpam-5614	110	25	v0)|	v0)|	X
ejpam-5614	110	26	≥	≥	NUM
ejpam-5614	110	27	diam(g	diam(g	NOUN
ejpam-5614	110	28	)	)	PUNCT
ejpam-5614	111	1	+	+	CCONJ
ejpam-5614	111	2	1−	1−	NUM
ejpam-5614	111	3	d	d	NOUN
ejpam-5614	111	4	(	(	PUNCT
ejpam-5614	111	5	v2	v2	PROPN
ejpam-5614	111	6	,	,	PUNCT
ejpam-5614	111	7	v0	v0	NOUN
ejpam-5614	111	8	)	)	PUNCT
ejpam-5614	111	9	then	then	ADV
ejpam-5614	111	10	we	we	PRON
ejpam-5614	111	11	do	do	VERB
ejpam-5614	111	12	the	the	DET
ejpam-5614	111	13	following	follow	VERB
ejpam-5614	111	14	computation	computation	NOUN
ejpam-5614	111	15	,	,	PUNCT
ejpam-5614	111	16	for	for	ADP
ejpam-5614	111	17	each	each	DET
ejpam-5614	111	18	vertex	vertex	NOUN
ejpam-5614	111	19	u	u	NOUN
ejpam-5614	111	20	∈	∈	PROPN
ejpam-5614	111	21	v	v	NOUN
ejpam-5614	111	22	(	(	PUNCT
ejpam-5614	111	23	g)−	g)−	PROPN
ejpam-5614	111	24	{	{	PUNCT
ejpam-5614	111	25	v1	v1	NOUN
ejpam-5614	111	26	,	,	PUNCT
ejpam-5614	111	27	v0	v0	NOUN
ejpam-5614	111	28	}	}	PUNCT
ejpam-5614	111	29	.	.	PUNCT
ejpam-5614	112	1	find	find	VERB
ejpam-5614	112	2	l(u	l(u	PRON
ejpam-5614	112	3	)	)	PUNCT
ejpam-5614	113	1	=	=	SYM
ejpam-5614	113	2	max	max	PROPN
ejpam-5614	113	3	{	{	PUNCT
ejpam-5614	113	4	l	l	PROPN
ejpam-5614	113	5	(	(	PUNCT
ejpam-5614	113	6	v0	v0	NOUN
ejpam-5614	113	7	)	)	PUNCT
ejpam-5614	113	8	+	+	SYM
ejpam-5614	114	1	diam(g	diam(g	NOUN
ejpam-5614	114	2	)	)	PUNCT
ejpam-5614	115	1	+	+	CCONJ
ejpam-5614	116	1	1−	1−	NUM
ejpam-5614	116	2	d	d	NOUN
ejpam-5614	116	3	(	(	PUNCT
ejpam-5614	116	4	v0	v0	PROPN
ejpam-5614	116	5	,	,	PUNCT
ejpam-5614	116	6	u	u	NOUN
ejpam-5614	116	7	)	)	PUNCT
ejpam-5614	116	8	,	,	PUNCT
ejpam-5614	116	9	l	l	NOUN
ejpam-5614	116	10	(	(	PUNCT
ejpam-5614	116	11	v1	v1	NOUN
ejpam-5614	116	12	)	)	PUNCT
ejpam-5614	116	13	+	+	SYM
ejpam-5614	116	14	diam(g	diam(g	NOUN
ejpam-5614	116	15	)	)	PUNCT
ejpam-5614	117	1	+	+	CCONJ
ejpam-5614	117	2	1−	1−	NUM
ejpam-5614	117	3	d	d	NOUN
ejpam-5614	117	4	(	(	PUNCT
ejpam-5614	117	5	v1	v1	NOUN
ejpam-5614	117	6	,	,	PUNCT
ejpam-5614	117	7	u	u	NOUN
ejpam-5614	117	8	)	)	PUNCT
ejpam-5614	117	9	}	}	PUNCT
ejpam-5614	117	10	consequently	consequently	ADV
ejpam-5614	117	11	,	,	PUNCT
ejpam-5614	117	12	the	the	DET
ejpam-5614	117	13	vertex	vertex	NOUN
ejpam-5614	117	14	u	u	NOUN
ejpam-5614	117	15	will	will	AUX
ejpam-5614	117	16	consider	consider	VERB
ejpam-5614	117	17	as	as	ADP
ejpam-5614	117	18	v2	v2	PROPN
ejpam-5614	117	19	and	and	CCONJ
ejpam-5614	117	20	l	l	NOUN
ejpam-5614	117	21	(	(	PUNCT
ejpam-5614	117	22	v0	v0	NOUN
ejpam-5614	117	23	)	)	PUNCT
ejpam-5614	117	24	<	<	X
ejpam-5614	117	25	l	l	X
ejpam-5614	117	26	(	(	PUNCT
ejpam-5614	117	27	v1	v1	NOUN
ejpam-5614	117	28	)	)	PUNCT
ejpam-5614	117	29	<	<	X
ejpam-5614	117	30	l	l	X
ejpam-5614	117	31	(	(	PUNCT
ejpam-5614	117	32	v2	v2	NOUN
ejpam-5614	117	33	)	)	PUNCT
ejpam-5614	117	34	.	.	PUNCT
ejpam-5614	118	1	to	to	PART
ejpam-5614	118	2	find	find	VERB
ejpam-5614	118	3	the	the	DET
ejpam-5614	118	4	vertex	vertex	NOUN
ejpam-5614	118	5	v3	v3	PROPN
ejpam-5614	118	6	,	,	PUNCT
ejpam-5614	118	7	we	we	PRON
ejpam-5614	118	8	compute	compute	VERB
ejpam-5614	118	9	the	the	DET
ejpam-5614	118	10	below	below	ADP
ejpam-5614	118	11	computations	computation	NOUN
ejpam-5614	118	12	.	.	PUNCT
ejpam-5614	119	1	for	for	ADP
ejpam-5614	119	2	every	every	DET
ejpam-5614	119	3	vertex	vertex	NOUN
ejpam-5614	119	4	u	u	NOUN
ejpam-5614	119	5	belongs	belong	VERB
ejpam-5614	119	6	to	to	ADP
ejpam-5614	119	7	v	v	PROPN
ejpam-5614	119	8	(	(	PUNCT
ejpam-5614	119	9	g)−	g)−	PROPN
ejpam-5614	119	10	{	{	PUNCT
ejpam-5614	119	11	v0	v0	NOUN
ejpam-5614	119	12	,	,	PUNCT
ejpam-5614	119	13	v1	v1	NOUN
ejpam-5614	119	14	,	,	PUNCT
ejpam-5614	119	15	v2	v2	PROPN
ejpam-5614	119	16	}	}	PUNCT
ejpam-5614	119	17	compute	compute	NOUN
ejpam-5614	119	18	l(u	l(u	PROPN
ejpam-5614	119	19	)	)	PUNCT
ejpam-5614	120	1	=	=	SYM
ejpam-5614	120	2	max	max	PROPN
ejpam-5614	120	3	{	{	PUNCT
ejpam-5614	120	4	l	l	NOUN
ejpam-5614	120	5	(	(	PUNCT
ejpam-5614	120	6	v0	v0	NOUN
ejpam-5614	120	7	)	)	PUNCT
ejpam-5614	120	8	+	+	SYM
ejpam-5614	120	9	diam(g	diam(g	NOUN
ejpam-5614	120	10	)	)	PUNCT
ejpam-5614	121	1	+	+	CCONJ
ejpam-5614	122	1	1−	1−	NUM
ejpam-5614	122	2	d	d	NOUN
ejpam-5614	122	3	(	(	PUNCT
ejpam-5614	122	4	v0	v0	PROPN
ejpam-5614	122	5	,	,	PUNCT
ejpam-5614	122	6	u	u	NOUN
ejpam-5614	122	7	)	)	PUNCT
ejpam-5614	122	8	,	,	PUNCT
ejpam-5614	122	9	l	l	NOUN
ejpam-5614	122	10	(	(	PUNCT
ejpam-5614	122	11	v1	v1	NOUN
ejpam-5614	122	12	)	)	PUNCT
ejpam-5614	122	13	+	+	SYM
ejpam-5614	122	14	diam(g	diam(g	NOUN
ejpam-5614	122	15	)	)	PUNCT
ejpam-5614	123	1	+	+	CCONJ
ejpam-5614	124	1	1−	1−	NUM
ejpam-5614	124	2	d	d	NOUN
ejpam-5614	124	3	(	(	PUNCT
ejpam-5614	124	4	v1	v1	NOUN
ejpam-5614	124	5	,	,	PUNCT
ejpam-5614	124	6	u	u	NOUN
ejpam-5614	124	7	)	)	PUNCT
ejpam-5614	124	8	,	,	PUNCT
ejpam-5614	124	9	l	l	X
ejpam-5614	124	10	(	(	PUNCT
ejpam-5614	124	11	v2	v2	NOUN
ejpam-5614	124	12	)	)	PUNCT
ejpam-5614	124	13	+	+	NUM
ejpam-5614	124	14	diam(g	diam(g	NOUN
ejpam-5614	124	15	)	)	PUNCT
ejpam-5614	125	1	+	+	CCONJ
ejpam-5614	125	2	1−	1−	NUM
ejpam-5614	125	3	d	d	NOUN
ejpam-5614	125	4	(	(	PUNCT
ejpam-5614	125	5	v2	v2	PROPN
ejpam-5614	125	6	,	,	PUNCT
ejpam-5614	125	7	u	u	NOUN
ejpam-5614	125	8	)	)	PUNCT
ejpam-5614	125	9	}	}	PUNCT
ejpam-5614	125	10	(	(	PUNCT
ejpam-5614	125	11	1	1	X
ejpam-5614	125	12	)	)	PUNCT
ejpam-5614	125	13	then	then	ADV
ejpam-5614	125	14	the	the	DET
ejpam-5614	125	15	vertex	vertex	NOUN
ejpam-5614	125	16	v3	v3	PROPN
ejpam-5614	125	17	will	will	AUX
ejpam-5614	125	18	be	be	AUX
ejpam-5614	125	19	the	the	DET
ejpam-5614	125	20	vertex	vertex	NOUN
ejpam-5614	125	21	u	u	NOUN
ejpam-5614	125	22	with	with	ADP
ejpam-5614	125	23	minimum	minimum	ADJ
ejpam-5614	125	24	value	value	NOUN
ejpam-5614	125	25	of	of	ADP
ejpam-5614	125	26	l(u	l(u	PROPN
ejpam-5614	125	27	)	)	PUNCT
ejpam-5614	125	28	from	from	ADP
ejpam-5614	125	29	the	the	DET
ejpam-5614	125	30	computations	computation	NOUN
ejpam-5614	125	31	proceed	proceed	VERB
ejpam-5614	125	32	in	in	ADP
ejpam-5614	125	33	equation	equation	NOUN
ejpam-5614	125	34	1	1	NUM
ejpam-5614	125	35	.	.	PUNCT
ejpam-5614	126	1	the	the	DET
ejpam-5614	126	2	previous	previous	ADJ
ejpam-5614	126	3	computations	computation	NOUN
ejpam-5614	126	4	is	be	AUX
ejpam-5614	126	5	proceed	procee	VERB
ejpam-5614	126	6	until	until	SCONJ
ejpam-5614	126	7	the	the	DET
ejpam-5614	126	8	vertex	vertex	NOUN
ejpam-5614	126	9	vn−1	vn−1	ADV
ejpam-5614	126	10	is	be	AUX
ejpam-5614	126	11	labeled	label	VERB
ejpam-5614	126	12	.	.	PUNCT
ejpam-5614	127	1	n.	n.	PROPN
ejpam-5614	127	2	m.	m.	PROPN
ejpam-5614	127	3	noureldeen	noureldeen	INTJ
ejpam-5614	127	4	et	et	PROPN
ejpam-5614	127	5	al	al	PROPN
ejpam-5614	127	6	.	.	PUNCT
ejpam-5614	127	7	/	/	SYM
ejpam-5614	127	8	eur	eur	PROPN
ejpam-5614	127	9	.	.	PUNCT
ejpam-5614	128	1	j.	j.	PROPN
ejpam-5614	128	2	pure	pure	PROPN
ejpam-5614	128	3	appl	appl	PROPN
ejpam-5614	128	4	.	.	PROPN
ejpam-5614	128	5	math	math	PROPN
ejpam-5614	128	6	,	,	PUNCT
ejpam-5614	128	7	18	18	NUM
ejpam-5614	128	8	(	(	PUNCT
ejpam-5614	128	9	1	1	NUM
ejpam-5614	128	10	)	)	PUNCT
ejpam-5614	128	11	(	(	PUNCT
ejpam-5614	128	12	2025	2025	NUM
ejpam-5614	128	13	)	)	PUNCT
ejpam-5614	128	14	,	,	PUNCT
ejpam-5614	128	15	5614	5614	NUM
ejpam-5614	128	16	6	6	NUM
ejpam-5614	128	17	of	of	ADP
ejpam-5614	128	18	18	18	NUM
ejpam-5614	128	19	hereafter	hereafter	ADV
ejpam-5614	128	20	,	,	PUNCT
ejpam-5614	128	21	we	we	PRON
ejpam-5614	128	22	introduce	introduce	VERB
ejpam-5614	128	23	an	an	DET
ejpam-5614	128	24	algorithm	algorithm	NOUN
ejpam-5614	128	25	that	that	PRON
ejpam-5614	128	26	output	output	VERB
ejpam-5614	128	27	an	an	DET
ejpam-5614	128	28	upper	upper	ADJ
ejpam-5614	128	29	bound	bind	VERB
ejpam-5614	128	30	of	of	ADP
ejpam-5614	128	31	a	a	DET
ejpam-5614	128	32	radio	radio	NOUN
ejpam-5614	128	33	labeling	labeling	NOUN
ejpam-5614	128	34	of	of	ADP
ejpam-5614	128	35	a	a	DET
ejpam-5614	128	36	graph	graph	NOUN
ejpam-5614	128	37	g.	g.	NOUN
ejpam-5614	128	38	algorithm	algorithm	PROPN
ejpam-5614	128	39	1	1	NUM
ejpam-5614	128	40	.	.	PUNCT
ejpam-5614	129	1	the	the	DET
ejpam-5614	129	2	upper	upper	ADJ
ejpam-5614	129	3	bound	bound	NOUN
ejpam-5614	129	4	of	of	ADP
ejpam-5614	129	5	the	the	DET
ejpam-5614	129	6	radio	radio	NOUN
ejpam-5614	129	7	number	number	NOUN
ejpam-5614	129	8	of	of	ADP
ejpam-5614	129	9	a	a	DET
ejpam-5614	129	10	given	give	VERB
ejpam-5614	129	11	graph	graph	NOUN
ejpam-5614	129	12	g	g	PROPN
ejpam-5614	129	13	input	input	NOUN
ejpam-5614	129	14	:	:	PUNCT
ejpam-5614	129	15	the	the	DET
ejpam-5614	129	16	adjacency	adjacency	NOUN
ejpam-5614	129	17	matrix	matrix	NOUN
ejpam-5614	129	18	of	of	ADP
ejpam-5614	129	19	the	the	DET
ejpam-5614	129	20	graph	graph	NOUN
ejpam-5614	129	21	g	g	NOUN
ejpam-5614	129	22	and	and	CCONJ
ejpam-5614	129	23	the	the	DET
ejpam-5614	129	24	diameter	diameter	NOUN
ejpam-5614	129	25	d	d	PROPN
ejpam-5614	129	26	of	of	ADP
ejpam-5614	129	27	g.	g.	PROPN
ejpam-5614	129	28	output	output	PROPN
ejpam-5614	129	29	:	:	PUNCT
ejpam-5614	129	30	the	the	DET
ejpam-5614	129	31	upper	upper	ADJ
ejpam-5614	129	32	bound	bind	VERB
ejpam-5614	129	33	of	of	ADP
ejpam-5614	129	34	radio	radio	NOUN
ejpam-5614	129	35	number	number	NOUN
ejpam-5614	129	36	of	of	ADP
ejpam-5614	129	37	g.	g.	PROPN
ejpam-5614	129	38	begin	begin	VERB
ejpam-5614	129	39	1	1	NUM
ejpam-5614	129	40	:	:	PUNCT
ejpam-5614	129	41	for	for	ADP
ejpam-5614	129	42	all	all	DET
ejpam-5614	129	43	u	u	PROPN
ejpam-5614	129	44	∈	∈	PROPN
ejpam-5614	129	45	v	v	NOUN
ejpam-5614	129	46	(	(	PUNCT
ejpam-5614	129	47	g	g	NOUN
ejpam-5614	129	48	)	)	PUNCT
ejpam-5614	129	49	compute	compute	NOUN
ejpam-5614	129	50	,	,	PUNCT
ejpam-5614	129	51	ds(u	ds(u	X
ejpam-5614	129	52	)	)	PUNCT
ejpam-5614	130	1	=	=	SYM
ejpam-5614	130	2	∑	∑	PUNCT
ejpam-5614	130	3	v∈v	v∈v	NOUN
ejpam-5614	130	4	(	(	PUNCT
ejpam-5614	130	5	g	g	NOUN
ejpam-5614	130	6	)	)	PUNCT
ejpam-5614	130	7	d(u	d(u	PROPN
ejpam-5614	130	8	,	,	PUNCT
ejpam-5614	130	9	v	v	NOUN
ejpam-5614	130	10	)	)	PUNCT
ejpam-5614	130	11	.	.	PUNCT
ejpam-5614	131	1	2	2	NUM
ejpam-5614	131	2	:	:	PUNCT
ejpam-5614	131	3	let	let	VERB
ejpam-5614	131	4	min1	min1	NOUN
ejpam-5614	131	5	=	=	SYM
ejpam-5614	131	6	minu∈v	minu∈v	PROPN
ejpam-5614	131	7	(	(	PUNCT
ejpam-5614	131	8	g	g	NOUN
ejpam-5614	131	9	)	)	PUNCT
ejpam-5614	131	10	{	{	PUNCT
ejpam-5614	131	11	ds(u	ds(u	NOUN
ejpam-5614	131	12	)	)	PUNCT
ejpam-5614	131	13	}	}	PUNCT
ejpam-5614	131	14	3	3	NUM
ejpam-5614	131	15	:	:	PUNCT
ejpam-5614	131	16	choose	choose	VERB
ejpam-5614	131	17	a	a	DET
ejpam-5614	131	18	vertex	vertex	NOUN
ejpam-5614	131	19	u	u	NOUN
ejpam-5614	131	20	∈	∈	PROPN
ejpam-5614	131	21	v	v	NOUN
ejpam-5614	131	22	(	(	PUNCT
ejpam-5614	131	23	g	g	NOUN
ejpam-5614	131	24	)	)	PUNCT
ejpam-5614	131	25	,	,	PUNCT
ejpam-5614	131	26	such	such	ADJ
ejpam-5614	131	27	that	that	PRON
ejpam-5614	131	28	ds(u	ds(u	NUM
ejpam-5614	131	29	)	)	PUNCT
ejpam-5614	131	30	=	=	SYM
ejpam-5614	131	31	min1	min1	NOUN
ejpam-5614	131	32	4	4	NUM
ejpam-5614	131	33	.	.	PUNCT
ejpam-5614	131	34	assign	assign	VERB
ejpam-5614	131	35	,	,	PUNCT
ejpam-5614	131	36	l(u	l(u	PROPN
ejpam-5614	131	37	)	)	PUNCT
ejpam-5614	132	1	=	=	NOUN
ejpam-5614	132	2	0	0	NUM
ejpam-5614	132	3	.	.	PUNCT
ejpam-5614	133	1	5	5	NUM
ejpam-5614	133	2	:x	:x	PUNCT
ejpam-5614	133	3	=	=	PRON
ejpam-5614	133	4	{	{	PUNCT
ejpam-5614	133	5	u	u	NOUN
ejpam-5614	133	6	}	}	PUNCT
ejpam-5614	133	7	.	.	PUNCT
ejpam-5614	134	1	6	6	NUM
ejpam-5614	134	2	:	:	PUNCT
ejpam-5614	134	3	for	for	ADP
ejpam-5614	134	4	all	all	PRON
ejpam-5614	134	5	v	v	ADP
ejpam-5614	134	6	∈	∈	NUM
ejpam-5614	134	7	v	v	NOUN
ejpam-5614	134	8	(	(	PUNCT
ejpam-5614	134	9	g)−x	g)−x	PROPN
ejpam-5614	134	10	,	,	PUNCT
ejpam-5614	134	11	compute	compute	NOUN
ejpam-5614	134	12	,	,	PUNCT
ejpam-5614	134	13	temp(v	temp(v	NOUN
ejpam-5614	134	14	)	)	PUNCT
ejpam-5614	134	15	=	=	SYM
ejpam-5614	134	16	maxt∈x	maxt∈x	PROPN
ejpam-5614	134	17	{	{	PUNCT
ejpam-5614	134	18	l(t	l(t	PROPN
ejpam-5614	134	19	)	)	PUNCT
ejpam-5614	135	1	+	+	NOUN
ejpam-5614	135	2	d	d	X
ejpam-5614	135	3	+	+	NUM
ejpam-5614	135	4	1−	1−	NUM
ejpam-5614	135	5	d(v	d(v	PROPN
ejpam-5614	135	6	,	,	PUNCT
ejpam-5614	135	7	t	t	PROPN
ejpam-5614	135	8	)	)	PUNCT
ejpam-5614	135	9	}	}	PUNCT
ejpam-5614	135	10	7	7	NUM
ejpam-5614	135	11	:	:	PUNCT
ejpam-5614	135	12	let	let	VERB
ejpam-5614	135	13	min2	min2	PROPN
ejpam-5614	135	14	=	=	PROPN
ejpam-5614	135	15	minv∈v	minv∈v	PROPN
ejpam-5614	135	16	(	(	PUNCT
ejpam-5614	135	17	g)−x	g)−x	NOUN
ejpam-5614	135	18	{	{	PUNCT
ejpam-5614	135	19	temp(v	temp(v	NOUN
ejpam-5614	135	20	)	)	PUNCT
ejpam-5614	135	21	}	}	PUNCT
ejpam-5614	135	22	8	8	NUM
ejpam-5614	135	23	:	:	PUNCT
ejpam-5614	135	24	choose	choose	VERB
ejpam-5614	135	25	a	a	DET
ejpam-5614	135	26	vertex	vertex	NOUN
ejpam-5614	135	27	v	v	ADP
ejpam-5614	135	28	∈	∈	NOUN
ejpam-5614	135	29	v	v	NOUN
ejpam-5614	135	30	(	(	PUNCT
ejpam-5614	135	31	g)−x	g)−x	PROPN
ejpam-5614	135	32	,	,	PUNCT
ejpam-5614	135	33	where	where	SCONJ
ejpam-5614	135	34	temp(v	temp(v	NOUN
ejpam-5614	135	35	)	)	PUNCT
ejpam-5614	135	36	=	=	SYM
ejpam-5614	135	37	min2	min2	NOUN
ejpam-5614	135	38	9	9	NUM
ejpam-5614	135	39	:	:	PUNCT
ejpam-5614	135	40	assign	assign	VERB
ejpam-5614	135	41	,	,	PUNCT
ejpam-5614	135	42	l(v	l(v	NOUN
ejpam-5614	135	43	)	)	PUNCT
ejpam-5614	135	44	=	=	SYM
ejpam-5614	135	45	min2	min2	NOUN
ejpam-5614	135	46	10	10	NUM
ejpam-5614	135	47	:	:	PUNCT
ejpam-5614	135	48	x	x	SYM
ejpam-5614	135	49	=	=	SYM
ejpam-5614	135	50	x	x	SYM
ejpam-5614	135	51	∪	∪	X
ejpam-5614	135	52	{	{	PUNCT
ejpam-5614	135	53	v	v	NOUN
ejpam-5614	135	54	}	}	PUNCT
ejpam-5614	135	55	.	.	PUNCT
ejpam-5614	136	1	11	11	NUM
ejpam-5614	136	2	:	:	PUNCT
ejpam-5614	136	3	repeat	repeat	NOUN
ejpam-5614	136	4	step	step	NOUN
ejpam-5614	136	5	6	6	NUM
ejpam-5614	136	6	to	to	PART
ejpam-5614	136	7	step	step	VERB
ejpam-5614	136	8	10	10	NUM
ejpam-5614	136	9	until	until	SCONJ
ejpam-5614	136	10	all	all	DET
ejpam-5614	136	11	vertices	vertex	NOUN
ejpam-5614	136	12	are	be	AUX
ejpam-5614	136	13	labeled	label	VERB
ejpam-5614	136	14	.	.	PUNCT
ejpam-5614	137	1	stop	stop	VERB
ejpam-5614	137	2	.	.	PUNCT
ejpam-5614	138	1	end	end	NOUN
ejpam-5614	138	2	.	.	PUNCT
ejpam-5614	139	1	theorem	theorem	ADJ
ejpam-5614	139	2	1	1	NUM
ejpam-5614	139	3	.	.	PUNCT
ejpam-5614	139	4	algorithm	algorithm	NOUN
ejpam-5614	139	5	1	1	NUM
ejpam-5614	139	6	results	result	NOUN
ejpam-5614	139	7	in	in	ADP
ejpam-5614	139	8	a	a	DET
ejpam-5614	139	9	radio	radio	NOUN
ejpam-5614	139	10	labeling	labeling	NOUN
ejpam-5614	139	11	and	and	CCONJ
ejpam-5614	139	12	an	an	DET
ejpam-5614	139	13	upper	upper	ADJ
ejpam-5614	139	14	bound	bind	VERB
ejpam-5614	139	15	of	of	ADP
ejpam-5614	139	16	the	the	DET
ejpam-5614	139	17	radio	radio	NOUN
ejpam-5614	139	18	number	number	NOUN
ejpam-5614	139	19	for	for	ADP
ejpam-5614	139	20	a	a	DET
ejpam-5614	139	21	graph	graph	NOUN
ejpam-5614	139	22	g	g	NOUN
ejpam-5614	139	23	proof	proof	NOUN
ejpam-5614	139	24	.	.	PUNCT
ejpam-5614	140	1	let	let	VERB
ejpam-5614	140	2	algorithm	algorithm	NOUN
ejpam-5614	140	3	1	1	NUM
ejpam-5614	140	4	be	be	AUX
ejpam-5614	140	5	at	at	ADP
ejpam-5614	140	6	intermediate	intermediate	ADJ
ejpam-5614	140	7	step	step	NOUN
ejpam-5614	140	8	r	r	NOUN
ejpam-5614	140	9	,	,	PUNCT
ejpam-5614	140	10	where	where	SCONJ
ejpam-5614	140	11	the	the	DET
ejpam-5614	140	12	vertices	vertex	NOUN
ejpam-5614	140	13	of	of	ADP
ejpam-5614	140	14	g	g	PROPN
ejpam-5614	140	15	that	that	PRON
ejpam-5614	140	16	belong	belong	VERB
ejpam-5614	140	17	to	to	ADP
ejpam-5614	140	18	the	the	DET
ejpam-5614	140	19	set	set	NOUN
ejpam-5614	140	20	x	x	X
ejpam-5614	140	21	=	=	PRON
ejpam-5614	140	22	{	{	PUNCT
ejpam-5614	140	23	u1	u1	NOUN
ejpam-5614	140	24	,	,	PUNCT
ejpam-5614	140	25	u2	u2	NOUN
ejpam-5614	140	26	,	,	PUNCT
ejpam-5614	140	27	.	.	PUNCT
ejpam-5614	140	28	.	.	PUNCT
ejpam-5614	140	29	.	.	PUNCT
ejpam-5614	141	1	.	.	PUNCT
ejpam-5614	141	2	,	,	PUNCT
ejpam-5614	141	3	ur	ur	INTJ
ejpam-5614	141	4	}	}	PUNCT
ejpam-5614	141	5	are	be	AUX
ejpam-5614	141	6	radio	radio	NOUN
ejpam-5614	141	7	labeled	label	VERB
ejpam-5614	141	8	such	such	DET
ejpam-5614	141	9	the	the	DET
ejpam-5614	141	10	radio	radio	NOUN
ejpam-5614	141	11	label	label	NOUN
ejpam-5614	141	12	of	of	ADP
ejpam-5614	141	13	a	a	DET
ejpam-5614	141	14	vertex	vertex	NOUN
ejpam-5614	141	15	ui	ui	NOUN
ejpam-5614	142	1	=	=	PUNCT
ejpam-5614	142	2	l	l	NOUN
ejpam-5614	142	3	(	(	PUNCT
ejpam-5614	142	4	ui	ui	NOUN
ejpam-5614	142	5	)	)	PUNCT
ejpam-5614	142	6	for	for	ADP
ejpam-5614	142	7	all	all	DET
ejpam-5614	142	8	1	1	NUM
ejpam-5614	142	9	≤	≤	NUM
ejpam-5614	142	10	i	i	PRON
ejpam-5614	142	11	≤	≤	PROPN
ejpam-5614	142	12	r.	r.	PROPN
ejpam-5614	142	13	in	in	ADP
ejpam-5614	142	14	the	the	DET
ejpam-5614	142	15	next	next	ADJ
ejpam-5614	142	16	step	step	NOUN
ejpam-5614	142	17	,	,	PUNCT
ejpam-5614	142	18	to	to	PART
ejpam-5614	142	19	label	label	VERB
ejpam-5614	142	20	a	a	DET
ejpam-5614	142	21	new	new	ADJ
ejpam-5614	142	22	vertex	vertex	NOUN
ejpam-5614	142	23	v	v	NOUN
ejpam-5614	142	24	,	,	PUNCT
ejpam-5614	142	25	the	the	DET
ejpam-5614	142	26	algorithm	algorithm	NOUN
ejpam-5614	142	27	1	1	NUM
ejpam-5614	142	28	picks	pick	VERB
ejpam-5614	142	29	a	a	DET
ejpam-5614	142	30	vertex	vertex	NOUN
ejpam-5614	142	31	v	v	ADP
ejpam-5614	142	32	∈	∈	NOUN
ejpam-5614	142	33	v	v	ADP
ejpam-5614	142	34	−	−	PROPN
ejpam-5614	142	35	x	x	PUNCT
ejpam-5614	142	36	such	such	ADJ
ejpam-5614	142	37	that	that	DET
ejpam-5614	142	38	temp(v	temp(v	NOUN
ejpam-5614	142	39	)	)	PUNCT
ejpam-5614	142	40	=	=	SYM
ejpam-5614	142	41	maxt∈x	maxt∈x	PROPN
ejpam-5614	142	42	{	{	PUNCT
ejpam-5614	142	43	l(t	l(t	PROPN
ejpam-5614	142	44	)	)	PUNCT
ejpam-5614	143	1	+	+	NOUN
ejpam-5614	143	2	d	d	X
ejpam-5614	143	3	+	+	NUM
ejpam-5614	143	4	1−	1−	NUM
ejpam-5614	143	5	d(v	d(v	PROPN
ejpam-5614	143	6	,	,	PUNCT
ejpam-5614	143	7	t	t	PROPN
ejpam-5614	143	8	)	)	PUNCT
ejpam-5614	143	9	}	}	PUNCT
ejpam-5614	143	10	is	be	AUX
ejpam-5614	143	11	the	the	DET
ejpam-5614	143	12	minimum	minimum	NOUN
ejpam-5614	143	13	.	.	PUNCT
ejpam-5614	144	1	according	accord	VERB
ejpam-5614	144	2	to	to	ADP
ejpam-5614	144	3	algorithm	algorithm	NOUN
ejpam-5614	144	4	1	1	NUM
ejpam-5614	144	5	,	,	PUNCT
ejpam-5614	144	6	l(v	l(v	NOUN
ejpam-5614	144	7	)	)	PUNCT
ejpam-5614	144	8	=	=	SYM
ejpam-5614	144	9	temp(v	temp(v	NOUN
ejpam-5614	144	10	)	)	PUNCT
ejpam-5614	144	11	.	.	PUNCT
ejpam-5614	145	1	let	let	VERB
ejpam-5614	145	2	us	we	PRON
ejpam-5614	145	3	call	call	VERB
ejpam-5614	145	4	the	the	DET
ejpam-5614	145	5	vertex	vertex	NOUN
ejpam-5614	145	6	v	v	NOUN
ejpam-5614	145	7	as	as	ADP
ejpam-5614	145	8	ur+1	ur+1	INTJ
ejpam-5614	145	9	,	,	PUNCT
ejpam-5614	145	10	we	we	PRON
ejpam-5614	145	11	find	find	VERB
ejpam-5614	145	12	that	that	SCONJ
ejpam-5614	145	13	l	l	NOUN
ejpam-5614	145	14	(	(	PUNCT
ejpam-5614	145	15	ur+1	ur+1	ADJ
ejpam-5614	145	16	)	)	PUNCT
ejpam-5614	145	17	≥	≥	NOUN
ejpam-5614	145	18	l(t	l(t	PROPN
ejpam-5614	145	19	)	)	PUNCT
ejpam-5614	146	1	+	+	CCONJ
ejpam-5614	146	2	d	d	X
ejpam-5614	146	3	+	+	NOUN
ejpam-5614	146	4	1	1	NUM
ejpam-5614	146	5	−	−	PROPN
ejpam-5614	146	6	d(ur+1	d(ur+1	PROPN
ejpam-5614	146	7	,	,	PUNCT
ejpam-5614	146	8	ui	ui	PROPN
ejpam-5614	146	9	)	)	PUNCT
ejpam-5614	146	10	for	for	ADP
ejpam-5614	146	11	all	all	DET
ejpam-5614	146	12	ui	ui	PROPN
ejpam-5614	146	13	∈	∈	PROPN
ejpam-5614	146	14	x.	x.	NOUN
ejpam-5614	147	1	thus	thus	ADV
ejpam-5614	147	2	,	,	PUNCT
ejpam-5614	147	3	|l	|l	PROPN
ejpam-5614	147	4	(	(	PUNCT
ejpam-5614	147	5	ur+1)−	ur+1)−	PROPN
ejpam-5614	147	6	l	l	PROPN
ejpam-5614	147	7	(	(	PUNCT
ejpam-5614	147	8	ui)|	ui)|	PROPN
ejpam-5614	147	9	≥	≥	NUM
ejpam-5614	147	10	d+1−	d+1−	PROPN
ejpam-5614	147	11	d(ur+1	d(ur+1	PROPN
ejpam-5614	147	12	,	,	PUNCT
ejpam-5614	147	13	ui	ui	PROPN
ejpam-5614	147	14	)	)	PUNCT
ejpam-5614	147	15	for	for	ADP
ejpam-5614	147	16	all	all	DET
ejpam-5614	147	17	ui	ui	PROPN
ejpam-5614	147	18	∈	∈	PROPN
ejpam-5614	147	19	x.	x.	NOUN
ejpam-5614	147	20	therefore	therefore	ADV
ejpam-5614	147	21	,	,	PUNCT
ejpam-5614	147	22	algorithm	algorithm	NOUN
ejpam-5614	147	23	1	1	NUM
ejpam-5614	147	24	results	result	NOUN
ejpam-5614	147	25	in	in	ADP
ejpam-5614	147	26	a	a	DET
ejpam-5614	147	27	radio	radio	NOUN
ejpam-5614	147	28	labeling	labeling	NOUN
ejpam-5614	147	29	for	for	ADP
ejpam-5614	147	30	the	the	DET
ejpam-5614	147	31	given	give	VERB
ejpam-5614	147	32	graph	graph	NOUN
ejpam-5614	147	33	g	g	PROPN
ejpam-5614	147	34	and	and	CCONJ
ejpam-5614	147	35	an	an	DET
ejpam-5614	147	36	upper	upper	ADJ
ejpam-5614	147	37	bound	bind	VERB
ejpam-5614	147	38	for	for	ADP
ejpam-5614	147	39	radio	radio	NOUN
ejpam-5614	147	40	number	number	NOUN
ejpam-5614	147	41	of	of	ADP
ejpam-5614	147	42	g.	g.	PROPN
ejpam-5614	147	43	complexity	complexity	NOUN
ejpam-5614	147	44	of	of	ADP
ejpam-5614	147	45	algorithm	algorithm	NOUN
ejpam-5614	147	46	1	1	NUM
ejpam-5614	147	47	.	.	PUNCT
ejpam-5614	148	1	step	step	NOUN
ejpam-5614	148	2	1	1	NUM
ejpam-5614	148	3	has	have	VERB
ejpam-5614	148	4	a	a	DET
ejpam-5614	148	5	loop	loop	NOUN
ejpam-5614	148	6	which	which	PRON
ejpam-5614	148	7	has	have	VERB
ejpam-5614	148	8	o(n	o(n	NUM
ejpam-5614	148	9	)	)	PUNCT
ejpam-5614	148	10	time	time	NOUN
ejpam-5614	148	11	complexity	complexity	NOUN
ejpam-5614	148	12	.	.	PUNCT
ejpam-5614	149	1	step	step	NOUN
ejpam-5614	149	2	2	2	NUM
ejpam-5614	149	3	has	have	VERB
ejpam-5614	149	4	o(n	o(n	NUM
ejpam-5614	149	5	)	)	PUNCT
ejpam-5614	149	6	time	time	NOUN
ejpam-5614	149	7	complexity	complexity	NOUN
ejpam-5614	149	8	and	and	CCONJ
ejpam-5614	149	9	step	step	NOUN
ejpam-5614	149	10	3	3	NUM
ejpam-5614	149	11	has	have	VERB
ejpam-5614	149	12	o(n	o(n	NUM
ejpam-5614	149	13	)	)	PUNCT
ejpam-5614	149	14	time	time	NOUN
ejpam-5614	149	15	complexity	complexity	NOUN
ejpam-5614	149	16	.	.	PUNCT
ejpam-5614	150	1	both	both	PRON
ejpam-5614	150	2	of	of	ADP
ejpam-5614	150	3	steps	step	NOUN
ejpam-5614	150	4	4	4	NUM
ejpam-5614	150	5	and	and	CCONJ
ejpam-5614	150	6	5	5	NUM
ejpam-5614	150	7	has	have	AUX
ejpam-5614	150	8	o(1	o(1	NOUN
ejpam-5614	150	9	)	)	PUNCT
ejpam-5614	150	10	time	time	NOUN
ejpam-5614	150	11	complexity	complexity	NOUN
ejpam-5614	150	12	.	.	PUNCT
ejpam-5614	151	1	in	in	ADP
ejpam-5614	151	2	step	step	NOUN
ejpam-5614	151	3	6	6	NUM
ejpam-5614	151	4	,	,	PUNCT
ejpam-5614	151	5	there	there	PRON
ejpam-5614	151	6	is	be	VERB
ejpam-5614	151	7	a	a	DET
ejpam-5614	151	8	nested	nested	ADJ
ejpam-5614	151	9	loop	loop	NOUN
ejpam-5614	151	10	which	which	PRON
ejpam-5614	151	11	has	have	VERB
ejpam-5614	151	12	o(n2	o(n2	ADJ
ejpam-5614	152	1	)	)	PUNCT
ejpam-5614	152	2	time	time	NOUN
ejpam-5614	152	3	complexity	complexity	NOUN
ejpam-5614	152	4	.	.	PUNCT
ejpam-5614	153	1	each	each	PRON
ejpam-5614	153	2	of	of	ADP
ejpam-5614	153	3	steps	step	NOUN
ejpam-5614	153	4	7	7	NUM
ejpam-5614	153	5	and	and	CCONJ
ejpam-5614	153	6	8	8	NUM
ejpam-5614	153	7	has	have	VERB
ejpam-5614	153	8	o(n	o(n	NUM
ejpam-5614	153	9	)	)	PUNCT
ejpam-5614	153	10	time	time	NOUN
ejpam-5614	153	11	complexity	complexity	NOUN
ejpam-5614	153	12	.	.	PUNCT
ejpam-5614	154	1	for	for	ADP
ejpam-5614	154	2	steps	step	NOUN
ejpam-5614	154	3	9	9	NUM
ejpam-5614	154	4	and	and	CCONJ
ejpam-5614	154	5	10	10	NUM
ejpam-5614	154	6	each	each	PRON
ejpam-5614	154	7	has	have	VERB
ejpam-5614	154	8	one	one	NUM
ejpam-5614	154	9	operation	operation	NOUN
ejpam-5614	154	10	which	which	PRON
ejpam-5614	154	11	has	have	VERB
ejpam-5614	154	12	2	2	NUM
ejpam-5614	154	13	o(1	o(1	NOUN
ejpam-5614	154	14	)	)	PUNCT
ejpam-5614	154	15	time	time	NOUN
ejpam-5614	154	16	complexity	complexity	NOUN
ejpam-5614	154	17	.	.	PUNCT
ejpam-5614	155	1	at	at	ADP
ejpam-5614	155	2	the	the	DET
ejpam-5614	155	3	end	end	NOUN
ejpam-5614	155	4	,	,	PUNCT
ejpam-5614	155	5	step	step	NOUN
ejpam-5614	155	6	11	11	NUM
ejpam-5614	155	7	has	have	VERB
ejpam-5614	155	8	o(n3	o(n3	NOUN
ejpam-5614	155	9	)	)	PUNCT
ejpam-5614	155	10	time	time	NOUN
ejpam-5614	155	11	complexity	complexity	NOUN
ejpam-5614	155	12	.	.	PUNCT
ejpam-5614	156	1	therefore	therefore	ADV
ejpam-5614	156	2	,	,	PUNCT
ejpam-5614	156	3	the	the	DET
ejpam-5614	156	4	proposed	propose	VERB
ejpam-5614	156	5	algorithm	algorithm	NOUN
ejpam-5614	156	6	has	have	VERB
ejpam-5614	156	7	the	the	DET
ejpam-5614	156	8	following	following	ADJ
ejpam-5614	156	9	time	time	NOUN
ejpam-5614	156	10	complexity	complexity	NOUN
ejpam-5614	156	11	,	,	PUNCT
ejpam-5614	156	12	5o(n)+	5o(n)+	NUM
ejpam-5614	156	13	4o(1	4o(1	NOUN
ejpam-5614	156	14	)	)	PUNCT
ejpam-5614	157	1	+	+	CCONJ
ejpam-5614	157	2	o	o	X
ejpam-5614	157	3	(	(	PUNCT
ejpam-5614	157	4	n2	n2	PROPN
ejpam-5614	157	5	)	)	PUNCT
ejpam-5614	158	1	+	+	ADP
ejpam-5614	158	2	o	o	X
ejpam-5614	158	3	(	(	PUNCT
ejpam-5614	158	4	n3	n3	NOUN
ejpam-5614	158	5	)	)	PUNCT
ejpam-5614	158	6	=	=	SYM
ejpam-5614	158	7	o(n3	o(n3	NOUN
ejpam-5614	158	8	)	)	PUNCT
ejpam-5614	158	9	n.	n.	PROPN
ejpam-5614	158	10	m.	m.	NOUN
ejpam-5614	158	11	noureldeen	noureldeen	NOUN
ejpam-5614	158	12	et	et	PROPN
ejpam-5614	158	13	al	al	PROPN
ejpam-5614	158	14	.	.	PUNCT
ejpam-5614	158	15	/	/	SYM
ejpam-5614	158	16	eur	eur	PROPN
ejpam-5614	158	17	.	.	PUNCT
ejpam-5614	159	1	j.	j.	PROPN
ejpam-5614	159	2	pure	pure	PROPN
ejpam-5614	159	3	appl	appl	PROPN
ejpam-5614	159	4	.	.	PROPN
ejpam-5614	159	5	math	math	PROPN
ejpam-5614	159	6	,	,	PUNCT
ejpam-5614	159	7	18	18	NUM
ejpam-5614	159	8	(	(	PUNCT
ejpam-5614	159	9	1	1	NUM
ejpam-5614	159	10	)	)	PUNCT
ejpam-5614	159	11	(	(	PUNCT
ejpam-5614	159	12	2025	2025	NUM
ejpam-5614	159	13	)	)	PUNCT
ejpam-5614	159	14	,	,	PUNCT
ejpam-5614	159	15	5614	5614	NUM
ejpam-5614	159	16	7	7	NUM
ejpam-5614	159	17	of	of	ADP
ejpam-5614	159	18	18	18	NUM
ejpam-5614	159	19	2.2	2.2	NUM
ejpam-5614	159	20	.	.	PUNCT
ejpam-5614	160	1	the	the	DET
ejpam-5614	160	2	integer	integer	NOUN
ejpam-5614	160	3	programming	programming	PROPN
ejpam-5614	160	4	mathematical	mathematical	ADJ
ejpam-5614	160	5	model	model	NOUN
ejpam-5614	160	6	(	(	PUNCT
ejpam-5614	160	7	ilpm	ilpm	NOUN
ejpam-5614	160	8	)	)	PUNCT
ejpam-5614	160	9	for	for	ADP
ejpam-5614	160	10	the	the	DET
ejpam-5614	160	11	radio	radio	NOUN
ejpam-5614	160	12	labeling	labeling	NOUN
ejpam-5614	160	13	problem	problem	NOUN
ejpam-5614	160	14	a	a	DET
ejpam-5614	160	15	new	new	ADJ
ejpam-5614	160	16	mathematical	mathematical	ADJ
ejpam-5614	160	17	formulation	formulation	NOUN
ejpam-5614	160	18	for	for	ADP
ejpam-5614	160	19	the	the	DET
ejpam-5614	160	20	radio	radio	NOUN
ejpam-5614	160	21	labeling	labeling	NOUN
ejpam-5614	160	22	problem	problem	NOUN
ejpam-5614	160	23	is	be	AUX
ejpam-5614	160	24	proposed	propose	VERB
ejpam-5614	160	25	.	.	PUNCT
ejpam-5614	161	1	we	we	PRON
ejpam-5614	161	2	next	next	ADV
ejpam-5614	161	3	describe	describe	VERB
ejpam-5614	161	4	the	the	DET
ejpam-5614	161	5	problem	problem	NOUN
ejpam-5614	161	6	of	of	ADP
ejpam-5614	161	7	finding	find	VERB
ejpam-5614	161	8	the	the	DET
ejpam-5614	161	9	radio	radio	NOUN
ejpam-5614	161	10	labeling	labeling	NOUN
ejpam-5614	161	11	problem	problem	NOUN
ejpam-5614	161	12	for	for	ADP
ejpam-5614	161	13	a	a	DET
ejpam-5614	161	14	graph	graph	NOUN
ejpam-5614	161	15	in	in	ADP
ejpam-5614	161	16	terms	term	NOUN
ejpam-5614	161	17	of	of	ADP
ejpam-5614	161	18	an	an	DET
ejpam-5614	161	19	integer	integer	NOUN
ejpam-5614	161	20	programming	programming	NOUN
ejpam-5614	161	21	problem	problem	NOUN
ejpam-5614	161	22	[	[	X
ejpam-5614	161	23	19	19	NUM
ejpam-5614	161	24	]	]	PUNCT
ejpam-5614	161	25	.	.	PUNCT
ejpam-5614	162	1	let	let	VERB
ejpam-5614	162	2	g	g	PRON
ejpam-5614	162	3	be	be	AUX
ejpam-5614	162	4	a	a	DET
ejpam-5614	162	5	connected	connected	ADJ
ejpam-5614	162	6	graph	graph	NOUN
ejpam-5614	162	7	of	of	ADP
ejpam-5614	162	8	order	order	NOUN
ejpam-5614	162	9	n	n	PRON
ejpam-5614	162	10	with	with	ADP
ejpam-5614	162	11	v	v	NOUN
ejpam-5614	162	12	(	(	PUNCT
ejpam-5614	162	13	g	g	NOUN
ejpam-5614	162	14	)	)	PUNCT
ejpam-5614	162	15	=	=	SYM
ejpam-5614	162	16	{	{	PUNCT
ejpam-5614	162	17	u1	u1	NOUN
ejpam-5614	162	18	,	,	PUNCT
ejpam-5614	162	19	u2	u2	PROPN
ejpam-5614	162	20	,	,	PUNCT
ejpam-5614	162	21	·	·	PUNCT
ejpam-5614	162	22	·	·	PUNCT
ejpam-5614	162	23	·	·	PUNCT
ejpam-5614	162	24	,	,	PUNCT
ejpam-5614	162	25	un	un	PROPN
ejpam-5614	162	26	}	}	PUNCT
ejpam-5614	162	27	and	and	CCONJ
ejpam-5614	162	28	let	let	VERB
ejpam-5614	162	29	d	d	NOUN
ejpam-5614	162	30	=	=	PUNCT
ejpam-5614	163	1	[	[	X
ejpam-5614	163	2	dij	dij	X
ejpam-5614	163	3	]	]	PUNCT
ejpam-5614	163	4	be	be	AUX
ejpam-5614	163	5	the	the	DET
ejpam-5614	163	6	distance	distance	NOUN
ejpam-5614	163	7	matrix	matrix	NOUN
ejpam-5614	163	8	of	of	ADP
ejpam-5614	163	9	g	g	NOUN
ejpam-5614	163	10	,	,	PUNCT
ejpam-5614	163	11	that	that	PRON
ejpam-5614	163	12	is	be	AUX
ejpam-5614	163	13	dij	dij	ADJ
ejpam-5614	163	14	=	=	SYM
ejpam-5614	163	15	d	d	PROPN
ejpam-5614	163	16	(	(	PUNCT
ejpam-5614	163	17	ui	ui	PROPN
ejpam-5614	163	18	,	,	PUNCT
ejpam-5614	163	19	uj	uj	PROPN
ejpam-5614	163	20	)	)	PUNCT
ejpam-5614	163	21	for	for	ADP
ejpam-5614	163	22	1	1	NUM
ejpam-5614	163	23	≤	≤	NOUN
ejpam-5614	163	24	i	i	PRON
ejpam-5614	163	25	,	,	PUNCT
ejpam-5614	163	26	j	j	PROPN
ejpam-5614	163	27	≤	≤	PROPN
ejpam-5614	163	28	n.	n.	NOUN
ejpam-5614	163	29	we	we	PRON
ejpam-5614	163	30	suppose	suppose	VERB
ejpam-5614	163	31	that	that	SCONJ
ejpam-5614	163	32	vi	vi	PROPN
ejpam-5614	163	33	are	be	AUX
ejpam-5614	163	34	the	the	DET
ejpam-5614	163	35	labels	label	NOUN
ejpam-5614	163	36	of	of	ADP
ejpam-5614	163	37	the	the	DET
ejpam-5614	163	38	vertices	vertex	NOUN
ejpam-5614	163	39	ui	ui	NOUN
ejpam-5614	163	40	such	such	ADJ
ejpam-5614	163	41	that	that	SCONJ
ejpam-5614	163	42	1	1	NUM
ejpam-5614	163	43	≤	≤	NUM
ejpam-5614	163	44	i	i	PRON
ejpam-5614	163	45	≤	≤	PROPN
ejpam-5614	164	1	n.	n.	NOUN
ejpam-5614	164	2	now	now	ADV
ejpam-5614	164	3	,	,	PUNCT
ejpam-5614	164	4	we	we	PRON
ejpam-5614	164	5	can	can	AUX
ejpam-5614	164	6	introduce	introduce	VERB
ejpam-5614	164	7	the	the	DET
ejpam-5614	164	8	mathematical	mathematical	ADJ
ejpam-5614	164	9	model	model	NOUN
ejpam-5614	164	10	for	for	ADP
ejpam-5614	164	11	the	the	DET
ejpam-5614	164	12	radio	radio	NOUN
ejpam-5614	164	13	labeling	labeling	NOUN
ejpam-5614	164	14	problem	problem	NOUN
ejpam-5614	164	15	as	as	ADP
ejpam-5614	164	16	integer	integer	NOUN
ejpam-5614	164	17	programming	programming	NOUN
ejpam-5614	164	18	model	model	NOUN
ejpam-5614	164	19	.	.	PUNCT
ejpam-5614	165	1	we	we	PRON
ejpam-5614	165	2	define	define	VERB
ejpam-5614	165	3	the	the	DET
ejpam-5614	165	4	function	function	NOUN
ejpam-5614	165	5	f	f	NOUN
ejpam-5614	165	6	by	by	ADP
ejpam-5614	165	7	minf	minf	ADJ
ejpam-5614	165	8	=	=	SYM
ejpam-5614	165	9	v1	v1	NOUN
ejpam-5614	165	10	+	+	X
ejpam-5614	165	11	v2	v2	X
ejpam-5614	165	12	+	+	X
ejpam-5614	165	13	·	·	PUNCT
ejpam-5614	165	14	·	·	PUNCT
ejpam-5614	165	15	·	·	PUNCT
ejpam-5614	166	1	+	+	NUM
ejpam-5614	166	2	vn	vn	ADP
ejpam-5614	166	3	subject	subject	NOUN
ejpam-5614	166	4	to	to	ADP
ejpam-5614	166	5	:	:	PUNCT
ejpam-5614	166	6	|vi	|vi	NUM
ejpam-5614	166	7	−	−	PROPN
ejpam-5614	167	1	vj	vj	INTJ
ejpam-5614	168	1	|	|	ADV
ejpam-5614	168	2	≥	≥	NOUN
ejpam-5614	168	3	diam+	diam+	X
ejpam-5614	168	4	1−	1−	NUM
ejpam-5614	168	5	d	d	NOUN
ejpam-5614	168	6	(	(	PUNCT
ejpam-5614	168	7	ui	ui	PROPN
ejpam-5614	168	8	,	,	PUNCT
ejpam-5614	168	9	uj	uj	PROPN
ejpam-5614	168	10	)	)	PUNCT
ejpam-5614	168	11	for	for	ADP
ejpam-5614	168	12	1	1	NUM
ejpam-5614	168	13	≤	≤	NUM
ejpam-5614	169	1	i	i	PRON
ejpam-5614	169	2	≤	≤	ADJ
ejpam-5614	169	3	n−	n−	PROPN
ejpam-5614	169	4	1	1	NUM
ejpam-5614	169	5	;	;	PUNCT
ejpam-5614	169	6	2	2	NUM
ejpam-5614	169	7	≤	≤	NUM
ejpam-5614	169	8	j	j	PROPN
ejpam-5614	169	9	≤	≤	PROPN
ejpam-5614	169	10	n	n	CCONJ
ejpam-5614	169	11	and	and	CCONJ
ejpam-5614	169	12	i	i	PRON
ejpam-5614	169	13	<	<	X
ejpam-5614	169	14	j	j	PROPN
ejpam-5614	169	15	where	where	SCONJ
ejpam-5614	169	16	v1	v1	NOUN
ejpam-5614	169	17	,	,	PUNCT
ejpam-5614	169	18	v2	v2	PROPN
ejpam-5614	169	19	,	,	PUNCT
ejpam-5614	169	20	·	·	PUNCT
ejpam-5614	169	21	·	·	PUNCT
ejpam-5614	169	22	·	·	PUNCT
ejpam-5614	169	23	,	,	PUNCT
ejpam-5614	169	24	vn	vn	PROPN
ejpam-5614	169	25	∈	∈	PROPN
ejpam-5614	169	26	{	{	PUNCT
ejpam-5614	169	27	0	0	NUM
ejpam-5614	169	28	,	,	PUNCT
ejpam-5614	169	29	1	1	NUM
ejpam-5614	169	30	,	,	PUNCT
ejpam-5614	169	31	2	2	NUM
ejpam-5614	169	32	,	,	PUNCT
ejpam-5614	169	33	.	.	PUNCT
ejpam-5614	169	34	.	.	PUNCT
ejpam-5614	170	1	.	.	PUNCT
ejpam-5614	170	2	}	}	PUNCT
ejpam-5614	171	1	the	the	DET
ejpam-5614	171	2	radio	radio	NOUN
ejpam-5614	171	3	number	number	NOUN
ejpam-5614	171	4	of	of	ADP
ejpam-5614	171	5	the	the	DET
ejpam-5614	171	6	graph	graph	NOUN
ejpam-5614	171	7	g	g	PROPN
ejpam-5614	171	8	=	=	PUNCT
ejpam-5614	171	9	max1≤i≤n	max1≤i≤n	PROPN
ejpam-5614	171	10	{	{	PUNCT
ejpam-5614	171	11	vi	vi	PROPN
ejpam-5614	171	12	}	}	PUNCT
ejpam-5614	171	13	.	.	PUNCT
ejpam-5614	172	1	3	3	X
ejpam-5614	172	2	.	.	NOUN
ejpam-5614	172	3	results	result	NOUN
ejpam-5614	172	4	and	and	CCONJ
ejpam-5614	172	5	discussion	discussion	NOUN
ejpam-5614	172	6	we	we	PRON
ejpam-5614	172	7	describe	describe	VERB
ejpam-5614	172	8	our	our	PRON
ejpam-5614	172	9	numerical	numerical	ADJ
ejpam-5614	172	10	experiments	experiment	NOUN
ejpam-5614	172	11	and	and	CCONJ
ejpam-5614	172	12	present	present	ADJ
ejpam-5614	172	13	computational	computational	ADJ
ejpam-5614	172	14	results	result	NOUN
ejpam-5614	172	15	,	,	PUNCT
ejpam-5614	172	16	which	which	PRON
ejpam-5614	172	17	demonstrate	demonstrate	VERB
ejpam-5614	172	18	the	the	DET
ejpam-5614	172	19	efficiency	efficiency	NOUN
ejpam-5614	172	20	of	of	ADP
ejpam-5614	172	21	the	the	DET
ejpam-5614	172	22	proposed	propose	VERB
ejpam-5614	172	23	algorithm	algorithm	NOUN
ejpam-5614	172	24	on	on	ADP
ejpam-5614	172	25	a	a	DET
ejpam-5614	172	26	set	set	NOUN
ejpam-5614	172	27	of	of	ADP
ejpam-5614	172	28	test	test	NOUN
ejpam-5614	172	29	graphs	graph	NOUN
ejpam-5614	172	30	(	(	PUNCT
ejpam-5614	172	31	path	path	NOUN
ejpam-5614	172	32	,	,	PUNCT
ejpam-5614	172	33	cycle	cycle	NOUN
ejpam-5614	172	34	,	,	PUNCT
ejpam-5614	172	35	friendship	friendship	NOUN
ejpam-5614	172	36	graphs	graph	NOUN
ejpam-5614	172	37	(	(	PUNCT
ejpam-5614	172	38	f	f	PROPN
ejpam-5614	172	39	3,k	3,k	PROPN
ejpam-5614	172	40	,	,	PUNCT
ejpam-5614	172	41	f	f	PROPN
ejpam-5614	173	1	4,k	4,k	NUM
ejpam-5614	173	2	,	,	PUNCT
ejpam-5614	173	3	f	f	PROPN
ejpam-5614	173	4	5,k	5,k	PROPN
ejpam-5614	173	5	)	)	PUNCT
ejpam-5614	173	6	,	,	PUNCT
ejpam-5614	173	7	∆k	∆k	PROPN
ejpam-5614	173	8	-snake	-snake	NOUN
ejpam-5614	173	9	and	and	CCONJ
ejpam-5614	173	10	kc4	kc4	PROPN
ejpam-5614	173	11	-	-	PUNCT
ejpam-5614	173	12	snake	snake	NOUN
ejpam-5614	173	13	and	and	CCONJ
ejpam-5614	173	14	triangular	triangular	NOUN
ejpam-5614	173	15	path	path	NOUN
ejpam-5614	173	16	p3,k	p3,k	PROPN
ejpam-5614	173	17	)	)	PUNCT
ejpam-5614	173	18	.	.	PUNCT
ejpam-5614	174	1	compiled	compile	VERB
ejpam-5614	174	2	using	use	VERB
ejpam-5614	174	3	python	python	NOUN
ejpam-5614	174	4	3.11	3.11	NUM
ejpam-5614	174	5	,	,	PUNCT
ejpam-5614	174	6	all	all	DET
ejpam-5614	174	7	runs	run	NOUN
ejpam-5614	174	8	were	be	AUX
ejpam-5614	174	9	carried	carry	VERB
ejpam-5614	174	10	out	out	ADP
ejpam-5614	174	11	under	under	ADP
ejpam-5614	174	12	macos	macos	PROPN
ejpam-5614	174	13	,	,	PUNCT
ejpam-5614	174	14	on	on	ADP
ejpam-5614	174	15	macbook	macbook	NOUN
ejpam-5614	174	16	air	air	NOUN
ejpam-5614	174	17	with	with	ADP
ejpam-5614	174	18	apple	apple	NOUN
ejpam-5614	174	19	m1	m1	PROPN
ejpam-5614	174	20	chip	chip	NOUN
ejpam-5614	174	21	with	with	ADP
ejpam-5614	174	22	8	8	NUM
ejpam-5614	174	23	-	-	PUNCT
ejpam-5614	174	24	core	core	NOUN
ejpam-5614	174	25	cpu	cpu	NOUN
ejpam-5614	174	26	and	and	CCONJ
ejpam-5614	174	27	7	7	NUM
ejpam-5614	174	28	-	-	PUNCT
ejpam-5614	174	29	core	core	NOUN
ejpam-5614	174	30	gpu	gpu	PROPN
ejpam-5614	174	31	,	,	PUNCT
ejpam-5614	174	32	8	8	NUM
ejpam-5614	174	33	gb	gb	NOUN
ejpam-5614	174	34	ram	ram	NOUN
ejpam-5614	174	35	in	in	ADP
ejpam-5614	174	36	tables	table	NOUN
ejpam-5614	174	37	1	1	NUM
ejpam-5614	174	38	-	-	SYM
ejpam-5614	174	39	8	8	NUM
ejpam-5614	174	40	the	the	DET
ejpam-5614	174	41	abbreviations	abbreviation	NOUN
ejpam-5614	174	42	ub1	ub1	PROPN
ejpam-5614	174	43	,	,	PUNCT
ejpam-5614	174	44	ub2	ub2	PROPN
ejpam-5614	174	45	and	and	CCONJ
ejpam-5614	174	46	ub3	ub3	NOUN
ejpam-5614	174	47	are	be	AUX
ejpam-5614	174	48	used	use	VERB
ejpam-5614	174	49	to	to	PART
ejpam-5614	174	50	denote	denote	VERB
ejpam-5614	174	51	upper	upper	ADJ
ejpam-5614	174	52	bounds	bound	NOUN
ejpam-5614	174	53	of	of	ADP
ejpam-5614	174	54	radio	radio	NOUN
ejpam-5614	174	55	number	number	NOUN
ejpam-5614	174	56	due	due	ADP
ejpam-5614	174	57	to	to	ADP
ejpam-5614	174	58	saha	saha	NOUN
ejpam-5614	174	59	and	and	CCONJ
ejpam-5614	174	60	panigrahi	panigrahi	NOUN
ejpam-5614	174	61	[	[	X
ejpam-5614	174	62	30	30	NUM
ejpam-5614	174	63	]	]	PUNCT
ejpam-5614	174	64	,	,	PUNCT
ejpam-5614	174	65	badr	badr	PROPN
ejpam-5614	174	66	and	and	CCONJ
ejpam-5614	174	67	moussa	moussa	PROPN
ejpam-5614	175	1	[	[	X
ejpam-5614	175	2	6	6	NUM
ejpam-5614	175	3	]	]	PUNCT
ejpam-5614	175	4	and	and	CCONJ
ejpam-5614	175	5	the	the	DET
ejpam-5614	175	6	proposed	propose	VERB
ejpam-5614	175	7	algorithm	algorithm	NOUN
ejpam-5614	175	8	(	(	PUNCT
ejpam-5614	175	9	algorithm	algorithm	NOUN
ejpam-5614	175	10	1	1	NUM
ejpam-5614	175	11	)	)	PUNCT
ejpam-5614	175	12	respectively	respectively	ADV
ejpam-5614	175	13	.	.	PUNCT
ejpam-5614	176	1	definition	definition	NOUN
ejpam-5614	176	2	1	1	NUM
ejpam-5614	176	3	.	.	PUNCT
ejpam-5614	177	1	let	let	VERB
ejpam-5614	177	2	k	k	PRON
ejpam-5614	177	3	be	be	AUX
ejpam-5614	177	4	a	a	DET
ejpam-5614	177	5	positive	positive	ADJ
ejpam-5614	177	6	integer	integer	NOUN
ejpam-5614	177	7	.	.	PUNCT
ejpam-5614	178	1	a	a	DET
ejpam-5614	178	2	triangular	triangular	NOUN
ejpam-5614	178	3	snake	snake	NOUN
ejpam-5614	178	4	graph	graph	NOUN
ejpam-5614	178	5	denoted	denote	VERB
ejpam-5614	178	6	as	as	SCONJ
ejpam-5614	178	7	∆k	∆k	PROPN
ejpam-5614	178	8	-snake	-snake	PROPN
ejpam-5614	178	9	is	be	AUX
ejpam-5614	178	10	a	a	DET
ejpam-5614	178	11	connected	connected	ADJ
ejpam-5614	178	12	and	and	CCONJ
ejpam-5614	178	13	simple	simple	ADJ
ejpam-5614	178	14	graph	graph	NOUN
ejpam-5614	178	15	of	of	ADP
ejpam-5614	178	16	k	k	NOUN
ejpam-5614	178	17	-	-	PUNCT
ejpam-5614	178	18	blocks	block	NOUN
ejpam-5614	178	19	and	and	CCONJ
ejpam-5614	178	20	each	each	DET
ejpam-5614	178	21	block	block	NOUN
ejpam-5614	178	22	is	be	AUX
ejpam-5614	178	23	cycle	cycle	NOUN
ejpam-5614	178	24	c3	c3	NOUN
ejpam-5614	178	25	and	and	CCONJ
ejpam-5614	178	26	the	the	DET
ejpam-5614	178	27	block	block	NOUN
ejpam-5614	178	28	-	-	PUNCT
ejpam-5614	178	29	cutpoint	cutpoint	NOUN
ejpam-5614	178	30	graph	graph	NOUN
ejpam-5614	178	31	is	be	AUX
ejpam-5614	178	32	a	a	DET
ejpam-5614	178	33	path	path	NOUN
ejpam-5614	178	34	.	.	PUNCT
ejpam-5614	179	1	figure	figure	NOUN
ejpam-5614	179	2	4	4	NUM
ejpam-5614	179	3	illustrates	illustrate	VERB
ejpam-5614	179	4	the	the	DET
ejpam-5614	179	5	graph	graph	NOUN
ejpam-5614	179	6	∆k	∆k	PROPN
ejpam-5614	179	7	-snake	-snake	PROPN
ejpam-5614	179	8	.	.	PUNCT
ejpam-5614	180	1	figure	figure	NOUN
ejpam-5614	180	2	4	4	NUM
ejpam-5614	180	3	:	:	PUNCT
ejpam-5614	180	4	∆k	∆k	PROPN
ejpam-5614	180	5	-snake	-snake	PROPN
ejpam-5614	180	6	definition	definition	NOUN
ejpam-5614	180	7	2	2	NUM
ejpam-5614	180	8	.	.	PUNCT
ejpam-5614	181	1	for	for	ADP
ejpam-5614	181	2	given	give	VERB
ejpam-5614	181	3	positive	positive	ADJ
ejpam-5614	181	4	integers	integer	NOUN
ejpam-5614	181	5	k	k	PROPN
ejpam-5614	181	6	,	,	PUNCT
ejpam-5614	181	7	m	m	PROPN
ejpam-5614	181	8	,	,	PUNCT
ejpam-5614	181	9	a	a	DET
ejpam-5614	181	10	friendship	friendship	NOUN
ejpam-5614	181	11	graph	graph	NOUN
ejpam-5614	181	12	denoted	denote	VERB
ejpam-5614	181	13	as	as	ADP
ejpam-5614	181	14	fm	fm	PROPN
ejpam-5614	181	15	,	,	PUNCT
ejpam-5614	181	16	k	k	PROPN
ejpam-5614	181	17	and	and	CCONJ
ejpam-5614	181	18	represented	represent	VERB
ejpam-5614	181	19	as	as	ADP
ejpam-5614	181	20	k	k	PROPN
ejpam-5614	181	21	cycles	cycles	PROPN
ejpam-5614	181	22	(	(	PUNCT
ejpam-5614	181	23	blocks	block	NOUN
ejpam-5614	181	24	)	)	PUNCT
ejpam-5614	181	25	each	each	PRON
ejpam-5614	181	26	of	of	ADP
ejpam-5614	181	27	length	length	NOUN
ejpam-5614	181	28	m	m	PROPN
ejpam-5614	181	29	and	and	CCONJ
ejpam-5614	181	30	all	all	PRON
ejpam-5614	181	31	have	have	VERB
ejpam-5614	181	32	a	a	DET
ejpam-5614	181	33	one	one	NUM
ejpam-5614	181	34	vertex	vertex	NOUN
ejpam-5614	181	35	common	common	ADJ
ejpam-5614	181	36	.	.	PUNCT
ejpam-5614	182	1	for	for	ADP
ejpam-5614	182	2	more	more	ADJ
ejpam-5614	182	3	illustration	illustration	NOUN
ejpam-5614	182	4	,	,	PUNCT
ejpam-5614	182	5	figure	figure	NOUN
ejpam-5614	182	6	5	5	NUM
ejpam-5614	182	7	shows	show	VERB
ejpam-5614	182	8	the	the	DET
ejpam-5614	182	9	graph	graph	NOUN
ejpam-5614	182	10	f4,k	f4,k	PROPN
ejpam-5614	182	11	as	as	ADP
ejpam-5614	182	12	an	an	DET
ejpam-5614	182	13	example	example	NOUN
ejpam-5614	182	14	of	of	ADP
ejpam-5614	182	15	friendship	friendship	NOUN
ejpam-5614	182	16	graph	graph	NOUN
ejpam-5614	182	17	.	.	PUNCT
ejpam-5614	183	1	n.	n.	PROPN
ejpam-5614	183	2	m.	m.	NOUN
ejpam-5614	183	3	noureldeen	noureldeen	INTJ
ejpam-5614	183	4	et	et	PROPN
ejpam-5614	183	5	al	al	PROPN
ejpam-5614	183	6	.	.	PUNCT
ejpam-5614	183	7	/	/	SYM
ejpam-5614	183	8	eur	eur	PROPN
ejpam-5614	183	9	.	.	PUNCT
ejpam-5614	184	1	j.	j.	PROPN
ejpam-5614	184	2	pure	pure	PROPN
ejpam-5614	184	3	appl	appl	PROPN
ejpam-5614	184	4	.	.	PROPN
ejpam-5614	184	5	math	math	PROPN
ejpam-5614	184	6	,	,	PUNCT
ejpam-5614	184	7	18	18	NUM
ejpam-5614	184	8	(	(	PUNCT
ejpam-5614	184	9	1	1	NUM
ejpam-5614	184	10	)	)	PUNCT
ejpam-5614	184	11	(	(	PUNCT
ejpam-5614	184	12	2025	2025	NUM
ejpam-5614	184	13	)	)	PUNCT
ejpam-5614	184	14	,	,	PUNCT
ejpam-5614	184	15	5614	5614	NUM
ejpam-5614	184	16	8	8	NUM
ejpam-5614	184	17	of	of	ADP
ejpam-5614	184	18	18	18	NUM
ejpam-5614	184	19	definition	definition	NOUN
ejpam-5614	184	20	3	3	NUM
ejpam-5614	184	21	.	.	PUNCT
ejpam-5614	185	1	for	for	ADP
ejpam-5614	185	2	a	a	DET
ejpam-5614	185	3	positive	positive	ADJ
ejpam-5614	185	4	integer	integer	NOUN
ejpam-5614	185	5	k	k	NOUN
ejpam-5614	185	6	,	,	PUNCT
ejpam-5614	185	7	the	the	DET
ejpam-5614	185	8	graph	graph	NOUN
ejpam-5614	185	9	denoted	denote	VERB
ejpam-5614	185	10	as	as	ADP
ejpam-5614	185	11	kc4	kc4	NOUN
ejpam-5614	185	12	-	-	PUNCT
ejpam-5614	185	13	snake	snake	NOUN
ejpam-5614	185	14	is	be	AUX
ejpam-5614	185	15	a	a	DET
ejpam-5614	185	16	connected	connected	ADJ
ejpam-5614	185	17	and	and	CCONJ
ejpam-5614	185	18	simple	simple	ADJ
ejpam-5614	185	19	graph	graph	NOUN
ejpam-5614	185	20	of	of	ADP
ejpam-5614	185	21	k	k	NOUN
ejpam-5614	185	22	-	-	PUNCT
ejpam-5614	185	23	blocks	block	NOUN
ejpam-5614	185	24	and	and	CCONJ
ejpam-5614	185	25	each	each	DET
ejpam-5614	185	26	block	block	NOUN
ejpam-5614	185	27	is	be	AUX
ejpam-5614	185	28	cycle	cycle	NOUN
ejpam-5614	185	29	c4	c4	NOUN
ejpam-5614	185	30	and	and	CCONJ
ejpam-5614	185	31	the	the	DET
ejpam-5614	185	32	block	block	NOUN
ejpam-5614	185	33	-	-	PUNCT
ejpam-5614	185	34	cut	cut	VERB
ejpam-5614	185	35	-	-	PUNCT
ejpam-5614	185	36	point	point	NOUN
ejpam-5614	185	37	graph	graph	NOUN
ejpam-5614	185	38	is	be	AUX
ejpam-5614	185	39	a	a	DET
ejpam-5614	185	40	path	path	NOUN
ejpam-5614	185	41	.	.	PUNCT
ejpam-5614	186	1	the	the	DET
ejpam-5614	186	2	graph	graph	NOUN
ejpam-5614	186	3	kc4	kc4	PROPN
ejpam-5614	186	4	-	-	PUNCT
ejpam-5614	186	5	snake	snake	NOUN
ejpam-5614	186	6	is	be	AUX
ejpam-5614	186	7	shown	show	VERB
ejpam-5614	186	8	in	in	ADP
ejpam-5614	186	9	figure	figure	NOUN
ejpam-5614	186	10	6	6	NUM
ejpam-5614	186	11	.	.	PUNCT
ejpam-5614	187	1	definition	definition	NOUN
ejpam-5614	187	2	4	4	NUM
ejpam-5614	187	3	.	.	PUNCT
ejpam-5614	188	1	for	for	ADP
ejpam-5614	188	2	a	a	DET
ejpam-5614	188	3	positive	positive	ADJ
ejpam-5614	188	4	integer	integer	NOUN
ejpam-5614	188	5	k	k	PROPN
ejpam-5614	188	6	,	,	PUNCT
ejpam-5614	188	7	a	a	DET
ejpam-5614	188	8	triangular	triangular	NOUN
ejpam-5614	188	9	path	path	NOUN
ejpam-5614	188	10	p3,k	p3,k	PROPN
ejpam-5614	188	11	is	be	AUX
ejpam-5614	188	12	a	a	DET
ejpam-5614	188	13	connected	connected	ADJ
ejpam-5614	188	14	and	and	CCONJ
ejpam-5614	188	15	simple	simple	ADJ
ejpam-5614	188	16	graph	graph	NOUN
ejpam-5614	188	17	with	with	ADP
ejpam-5614	188	18	|v	|v	PROPN
ejpam-5614	188	19	(	(	PUNCT
ejpam-5614	188	20	p3,k)|	p3,k)|	X
ejpam-5614	188	21	=	=	SYM
ejpam-5614	188	22	3k	3k	X
ejpam-5614	188	23	and	and	CCONJ
ejpam-5614	188	24	|e	|e	PROPN
ejpam-5614	188	25	(	(	PUNCT
ejpam-5614	188	26	p3,k)|	p3,k)|	X
ejpam-5614	188	27	=	=	PUNCT
ejpam-5614	188	28	4k	4k	NOUN
ejpam-5614	188	29	−	−	NOUN
ejpam-5614	189	1	1	1	X
ejpam-5614	189	2	.	.	PUNCT
ejpam-5614	190	1	it	it	PRON
ejpam-5614	190	2	consists	consist	VERB
ejpam-5614	190	3	of	of	ADP
ejpam-5614	190	4	a	a	DET
ejpam-5614	190	5	path	path	NOUN
ejpam-5614	190	6	pk	pk	NOUN
ejpam-5614	190	7	of	of	ADP
ejpam-5614	190	8	k	k	PROPN
ejpam-5614	190	9	vertices	vertex	NOUN
ejpam-5614	190	10	such	such	ADJ
ejpam-5614	190	11	that	that	SCONJ
ejpam-5614	190	12	every	every	DET
ejpam-5614	190	13	vertex	vertex	NOUN
ejpam-5614	190	14	from	from	ADP
ejpam-5614	190	15	this	this	DET
ejpam-5614	190	16	path	path	NOUN
ejpam-5614	190	17	is	be	AUX
ejpam-5614	190	18	a	a	DET
ejpam-5614	190	19	vertex	vertex	NOUN
ejpam-5614	190	20	in	in	ADP
ejpam-5614	190	21	a	a	DET
ejpam-5614	190	22	cycle	cycle	NOUN
ejpam-5614	190	23	c3	c3	NOUN
ejpam-5614	190	24	.	.	PUNCT
ejpam-5614	191	1	the	the	DET
ejpam-5614	191	2	illustration	illustration	NOUN
ejpam-5614	191	3	of	of	ADP
ejpam-5614	191	4	p3,k	p3,k	PROPN
ejpam-5614	191	5	is	be	AUX
ejpam-5614	191	6	shown	show	VERB
ejpam-5614	191	7	in	in	ADP
ejpam-5614	191	8	figure	figure	NOUN
ejpam-5614	191	9	7	7	NUM
ejpam-5614	191	10	.	.	PUNCT
ejpam-5614	191	11	figure	figure	NOUN
ejpam-5614	191	12	5	5	NUM
ejpam-5614	191	13	:	:	PUNCT
ejpam-5614	191	14	friendship	friendship	PROPN
ejpam-5614	191	15	f4,k	f4,k	PROPN
ejpam-5614	191	16	.	.	PROPN
ejpam-5614	191	17	figure	figure	NOUN
ejpam-5614	191	18	6	6	NUM
ejpam-5614	191	19	:	:	PUNCT
ejpam-5614	191	20	kc4	kc4	NOUN
ejpam-5614	191	21	-	-	PUNCT
ejpam-5614	191	22	snake	snake	NOUN
ejpam-5614	191	23	n.	n.	PROPN
ejpam-5614	191	24	m.	m.	NOUN
ejpam-5614	192	1	noureldeen	noureldeen	INTJ
ejpam-5614	192	2	et	et	PROPN
ejpam-5614	192	3	al	al	PROPN
ejpam-5614	192	4	.	.	PUNCT
ejpam-5614	192	5	/	/	SYM
ejpam-5614	192	6	eur	eur	PROPN
ejpam-5614	192	7	.	.	PUNCT
ejpam-5614	193	1	j.	j.	PROPN
ejpam-5614	193	2	pure	pure	PROPN
ejpam-5614	193	3	appl	appl	PROPN
ejpam-5614	193	4	.	.	PROPN
ejpam-5614	193	5	math	math	PROPN
ejpam-5614	193	6	,	,	PUNCT
ejpam-5614	193	7	18	18	NUM
ejpam-5614	193	8	(	(	PUNCT
ejpam-5614	193	9	1	1	NUM
ejpam-5614	193	10	)	)	PUNCT
ejpam-5614	193	11	(	(	PUNCT
ejpam-5614	193	12	2025	2025	NUM
ejpam-5614	193	13	)	)	PUNCT
ejpam-5614	193	14	,	,	PUNCT
ejpam-5614	193	15	5614	5614	NUM
ejpam-5614	193	16	9	9	NUM
ejpam-5614	193	17	of	of	ADP
ejpam-5614	193	18	18	18	NUM
ejpam-5614	193	19	figure	figure	NOUN
ejpam-5614	193	20	7	7	NUM
ejpam-5614	193	21	:	:	PUNCT
ejpam-5614	193	22	triangular	triangular	PROPN
ejpam-5614	193	23	path	path	PROPN
ejpam-5614	193	24	p3,k	p3,k	PROPN
ejpam-5614	193	25	.	.	PUNCT
ejpam-5614	194	1	tables	table	NOUN
ejpam-5614	194	2	1	1	NUM
ejpam-5614	194	3	-	-	SYM
ejpam-5614	194	4	8	8	NUM
ejpam-5614	194	5	present	present	VERB
ejpam-5614	194	6	the	the	DET
ejpam-5614	194	7	comparisons	comparison	NOUN
ejpam-5614	194	8	among	among	ADP
ejpam-5614	194	9	four	four	NUM
ejpam-5614	194	10	different	different	ADJ
ejpam-5614	194	11	algorithms	algorithm	NOUN
ejpam-5614	194	12	,	,	PUNCT
ejpam-5614	194	13	ub1	ub1	PROPN
ejpam-5614	194	14	,	,	PUNCT
ejpam-5614	194	15	ub2	ub2	PROPN
ejpam-5614	194	16	,	,	PUNCT
ejpam-5614	194	17	ilpm	ilpm	NOUN
ejpam-5614	194	18	,	,	PUNCT
ejpam-5614	194	19	and	and	CCONJ
ejpam-5614	194	20	ub3	ub3	ADJ
ejpam-5614	194	21	,	,	PUNCT
ejpam-5614	194	22	for	for	ADP
ejpam-5614	194	23	path	path	NOUN
ejpam-5614	194	24	(	(	PUNCT
ejpam-5614	194	25	pn	pn	NOUN
ejpam-5614	194	26	)	)	PUNCT
ejpam-5614	194	27	,	,	PUNCT
ejpam-5614	194	28	cycle	cycle	NOUN
ejpam-5614	194	29	(	(	PUNCT
ejpam-5614	194	30	cn	cn	PROPN
ejpam-5614	194	31	)	)	PUNCT
ejpam-5614	194	32	,	,	PUNCT
ejpam-5614	194	33	friendships	friendship	NOUN
ejpam-5614	194	34	(	(	PUNCT
ejpam-5614	194	35	f3,k	f3,k	PROPN
ejpam-5614	194	36	,	,	PUNCT
ejpam-5614	194	37	f4,k	f4,k	PROPN
ejpam-5614	194	38	,	,	PUNCT
ejpam-5614	194	39	f5,k	f5,k	PROPN
ejpam-5614	194	40	,	,	PUNCT
ejpam-5614	194	41	)	)	PUNCT
ejpam-5614	194	42	triangular	triangular	NOUN
ejpam-5614	194	43	snakes	snake	NOUN
ejpam-5614	194	44	∆ksnake	∆ksnake	NOUN
ejpam-5614	194	45	and	and	CCONJ
ejpam-5614	194	46	kc4	kc4	NOUN
ejpam-5614	194	47	-	-	PUNCT
ejpam-5614	194	48	snake	snake	NOUN
ejpam-5614	194	49	and	and	CCONJ
ejpam-5614	194	50	triangular	triangular	NOUN
ejpam-5614	194	51	path	path	NOUN
ejpam-5614	194	52	(	(	PUNCT
ejpam-5614	194	53	p3,k	p3,k	PROPN
ejpam-5614	194	54	)	)	PUNCT
ejpam-5614	194	55	.	.	PUNCT
ejpam-5614	195	1	the	the	DET
ejpam-5614	195	2	table	table	NOUN
ejpam-5614	195	3	provides	provide	VERB
ejpam-5614	195	4	various	various	ADJ
ejpam-5614	195	5	metrics	metric	NOUN
ejpam-5614	195	6	,	,	PUNCT
ejpam-5614	195	7	including	include	VERB
ejpam-5614	195	8	the	the	DET
ejpam-5614	195	9	upper	upper	ADJ
ejpam-5614	195	10	bound	bound	NOUN
ejpam-5614	195	11	of	of	ADP
ejpam-5614	195	12	the	the	DET
ejpam-5614	195	13	radio	radio	NOUN
ejpam-5614	195	14	number	number	NOUN
ejpam-5614	195	15	rn(g	rn(g	NUM
ejpam-5614	195	16	)	)	PUNCT
ejpam-5614	195	17	and	and	CCONJ
ejpam-5614	195	18	the	the	DET
ejpam-5614	195	19	cpu	cpu	ADJ
ejpam-5614	195	20	time	time	NOUN
ejpam-5614	195	21	for	for	ADP
ejpam-5614	195	22	each	each	DET
ejpam-5614	195	23	algorithm	algorithm	NOUN
ejpam-5614	195	24	at	at	ADP
ejpam-5614	195	25	different	different	ADJ
ejpam-5614	195	26	values	value	NOUN
ejpam-5614	195	27	of	of	ADP
ejpam-5614	195	28	n.	n.	NOUN
ejpam-5614	195	29	the	the	DET
ejpam-5614	195	30	first	first	ADJ
ejpam-5614	195	31	column	column	NOUN
ejpam-5614	195	32	(	(	PUNCT
ejpam-5614	195	33	in	in	ADP
ejpam-5614	195	34	tables	table	NOUN
ejpam-5614	195	35	1	1	NUM
ejpam-5614	195	36	,	,	PUNCT
ejpam-5614	195	37	2	2	NUM
ejpam-5614	195	38	and	and	CCONJ
ejpam-5614	195	39	second	second	ADJ
ejpam-5614	195	40	column	column	NOUN
ejpam-5614	195	41	in	in	ADP
ejpam-5614	195	42	tables	table	NOUN
ejpam-5614	195	43	3	3	NUM
ejpam-5614	195	44	-	-	SYM
ejpam-5614	195	45	8)	8)	NUM
ejpam-5614	195	46	represents	represent	VERB
ejpam-5614	195	47	the	the	DET
ejpam-5614	195	48	value	value	NOUN
ejpam-5614	195	49	of	of	ADP
ejpam-5614	195	50	n	n	CCONJ
ejpam-5614	195	51	,	,	PUNCT
ejpam-5614	195	52	which	which	PRON
ejpam-5614	195	53	indicates	indicate	VERB
ejpam-5614	195	54	the	the	DET
ejpam-5614	195	55	size	size	NOUN
ejpam-5614	195	56	(	(	PUNCT
ejpam-5614	195	57	number	number	NOUN
ejpam-5614	195	58	of	of	ADP
ejpam-5614	195	59	vertices	vertex	NOUN
ejpam-5614	195	60	)	)	PUNCT
ejpam-5614	195	61	of	of	ADP
ejpam-5614	195	62	the	the	DET
ejpam-5614	195	63	graph	graph	NOUN
ejpam-5614	195	64	g.	g.	VERB
ejpam-5614	195	65	the	the	DET
ejpam-5614	195	66	second	second	ADJ
ejpam-5614	195	67	column	column	NOUN
ejpam-5614	195	68	(	(	PUNCT
ejpam-5614	195	69	in	in	ADP
ejpam-5614	195	70	tables	table	NOUN
ejpam-5614	195	71	1	1	NUM
ejpam-5614	195	72	,	,	PUNCT
ejpam-5614	195	73	2	2	NUM
ejpam-5614	195	74	and	and	CCONJ
ejpam-5614	195	75	third	third	ADJ
ejpam-5614	195	76	column	column	NOUN
ejpam-5614	195	77	in	in	ADP
ejpam-5614	195	78	tables	table	NOUN
ejpam-5614	195	79	3	3	NUM
ejpam-5614	195	80	-	-	SYM
ejpam-5614	195	81	8)	8)	NUM
ejpam-5614	195	82	shows	show	VERB
ejpam-5614	195	83	the	the	DET
ejpam-5614	195	84	value	value	NOUN
ejpam-5614	195	85	of	of	ADP
ejpam-5614	195	86	rn(g	rn(g	NUM
ejpam-5614	195	87	)	)	PUNCT
ejpam-5614	195	88	obtained	obtain	VERB
ejpam-5614	195	89	using	use	VERB
ejpam-5614	195	90	the	the	DET
ejpam-5614	195	91	ub1	ub1	PROPN
ejpam-5614	195	92	algorithm	algorithm	PROPN
ejpam-5614	195	93	.	.	PUNCT
ejpam-5614	196	1	similarly	similarly	ADV
ejpam-5614	196	2	,	,	PUNCT
ejpam-5614	196	3	the	the	DET
ejpam-5614	196	4	further	further	ADJ
ejpam-5614	196	5	consecutive	consecutive	ADJ
ejpam-5614	196	6	columns	column	NOUN
ejpam-5614	196	7	represent	represent	VERB
ejpam-5614	196	8	the	the	DET
ejpam-5614	196	9	values	value	NOUN
ejpam-5614	196	10	of	of	ADP
ejpam-5614	196	11	rn(g	rn(g	NUM
ejpam-5614	196	12	)	)	PUNCT
ejpam-5614	196	13	obtained	obtain	VERB
ejpam-5614	196	14	using	use	VERB
ejpam-5614	196	15	the	the	DET
ejpam-5614	196	16	ub2	ub2	PROPN
ejpam-5614	196	17	and	and	CCONJ
ejpam-5614	196	18	ilpm	ilpm	PROPN
ejpam-5614	196	19	algorithms	algorithm	NOUN
ejpam-5614	196	20	.	.	PUNCT
ejpam-5614	197	1	the	the	DET
ejpam-5614	197	2	last	last	ADJ
ejpam-5614	197	3	column	column	NOUN
ejpam-5614	197	4	presents	present	VERB
ejpam-5614	197	5	the	the	DET
ejpam-5614	197	6	values	value	NOUN
ejpam-5614	197	7	of	of	ADP
ejpam-5614	197	8	rn(g	rn(g	NUM
ejpam-5614	197	9	)	)	PUNCT
ejpam-5614	197	10	obtained	obtain	VERB
ejpam-5614	197	11	using	use	VERB
ejpam-5614	197	12	the	the	DET
ejpam-5614	197	13	ub3	ub3	ADJ
ejpam-5614	197	14	algorithm	algorithm	NOUN
ejpam-5614	197	15	.	.	PUNCT
ejpam-5614	198	1	the	the	DET
ejpam-5614	198	2	subsequent	subsequent	ADJ
ejpam-5614	198	3	columns	column	NOUN
ejpam-5614	198	4	provide	provide	VERB
ejpam-5614	198	5	the	the	DET
ejpam-5614	198	6	cpu	cpu	NOUN
ejpam-5614	198	7	time	time	NOUN
ejpam-5614	198	8	taken	take	VERB
ejpam-5614	198	9	by	by	ADP
ejpam-5614	198	10	each	each	DET
ejpam-5614	198	11	algorithm	algorithm	NOUN
ejpam-5614	198	12	to	to	PART
ejpam-5614	198	13	compute	compute	VERB
ejpam-5614	198	14	the	the	DET
ejpam-5614	198	15	respective	respective	ADJ
ejpam-5614	198	16	rn(g	rn(g	NUM
ejpam-5614	198	17	)	)	PUNCT
ejpam-5614	198	18	values	value	NOUN
ejpam-5614	198	19	for	for	ADP
ejpam-5614	198	20	the	the	DET
ejpam-5614	198	21	given	give	VERB
ejpam-5614	198	22	graph	graph	NOUN
ejpam-5614	198	23	size	size	NOUN
ejpam-5614	198	24	.	.	PUNCT
ejpam-5614	199	1	table	table	NOUN
ejpam-5614	199	2	1	1	NUM
ejpam-5614	199	3	:	:	PUNCT
ejpam-5614	199	4	a	a	DET
ejpam-5614	199	5	comparison	comparison	NOUN
ejpam-5614	199	6	among	among	ADP
ejpam-5614	199	7	ub1	ub1	PROPN
ejpam-5614	199	8	,	,	PUNCT
ejpam-5614	199	9	ub2	ub2	PROPN
ejpam-5614	199	10	,	,	PUNCT
ejpam-5614	199	11	ub3	ub3	ADJ
ejpam-5614	199	12	,	,	PUNCT
ejpam-5614	199	13	and	and	CCONJ
ejpam-5614	199	14	ilpm	ilpm	NOUN
ejpam-5614	199	15	for	for	ADP
ejpam-5614	199	16	g	g	PROPN
ejpam-5614	199	17	=	=	SYM
ejpam-5614	199	18	path	path	NOUN
ejpam-5614	199	19	graph	graph	NOUN
ejpam-5614	199	20	pn	pn	PROPN
ejpam-5614	199	21	n	n	PRON
ejpam-5614	199	22	ub1	ub1	PROPN
ejpam-5614	199	23	ub2	ub2	PROPN
ejpam-5614	199	24	ilpm	ilpm	PROPN
ejpam-5614	199	25	ub3	ub3	PROPN
ejpam-5614	199	26	rn(g	rn(g	NUM
ejpam-5614	199	27	)	)	PUNCT
ejpam-5614	199	28	cpu	cpu	NOUN
ejpam-5614	199	29	time	time	NOUN
ejpam-5614	199	30	rn(g	rn(g	NUM
ejpam-5614	199	31	)	)	PUNCT
ejpam-5614	199	32	cpu	cpu	NOUN
ejpam-5614	199	33	time	time	NOUN
ejpam-5614	199	34	rn(g	rn(g	NUM
ejpam-5614	199	35	)	)	PUNCT
ejpam-5614	199	36	cpu	cpu	NOUN
ejpam-5614	199	37	time	time	NOUN
ejpam-5614	199	38	rn(g	rn(g	NUM
ejpam-5614	199	39	)	)	PUNCT
ejpam-5614	199	40	cpu	cpu	NOUN
ejpam-5614	199	41	time	time	NOUN
ejpam-5614	199	42	1	1	NUM
ejpam-5614	199	43	0	0	NUM
ejpam-5614	199	44	0.000181	0.000181	NUM
ejpam-5614	199	45	0	0	NUM
ejpam-5614	200	1	0.000353	0.000353	NUM
ejpam-5614	200	2	0	0	NUM
ejpam-5614	200	3	0.000111	0.000111	NUM
ejpam-5614	200	4	0	0	NUM
ejpam-5614	200	5	0.000033	0.000033	NUM
ejpam-5614	200	6	2	2	NUM
ejpam-5614	200	7	1	1	NUM
ejpam-5614	200	8	0.000083	0.000083	NUM
ejpam-5614	200	9	1	1	NUM
ejpam-5614	200	10	0.000454	0.000454	NUM
ejpam-5614	200	11	1	1	NUM
ejpam-5614	200	12	0.000015	0.000015	NUM
ejpam-5614	200	13	1	1	NUM
ejpam-5614	200	14	0.000041	0.000041	NUM
ejpam-5614	200	15	3	3	NUM
ejpam-5614	200	16	3	3	NUM
ejpam-5614	200	17	0.000085	0.000085	NUM
ejpam-5614	200	18	3	3	NUM
ejpam-5614	200	19	0.000733	0.000733	NUM
ejpam-5614	200	20	4	4	NUM
ejpam-5614	200	21	0.000033	0.000033	NUM
ejpam-5614	200	22	3	3	NUM
ejpam-5614	200	23	0.000058	0.000058	NUM
ejpam-5614	200	24	4	4	NUM
ejpam-5614	200	25	6	6	NUM
ejpam-5614	200	26	0.000124	0.000124	NUM
ejpam-5614	200	27	5	5	NUM
ejpam-5614	200	28	0.000014	0.000014	NUM
ejpam-5614	200	29	9	9	NUM
ejpam-5614	200	30	0.00004	0.00004	NUM
ejpam-5614	200	31	5	5	NUM
ejpam-5614	200	32	0.000077	0.000077	NUM
ejpam-5614	200	33	5	5	NUM
ejpam-5614	200	34	11	11	NUM
ejpam-5614	200	35	0.000217	0.000217	NUM
ejpam-5614	200	36	10	10	NUM
ejpam-5614	200	37	0.000267	0.000267	NUM
ejpam-5614	200	38	16	16	NUM
ejpam-5614	200	39	0.000461	0.000461	NUM
ejpam-5614	200	40	10	10	NUM
ejpam-5614	200	41	0.000126	0.000126	NUM
ejpam-5614	200	42	6	6	NUM
ejpam-5614	200	43	15	15	NUM
ejpam-5614	200	44	0.000265	0.000265	NUM
ejpam-5614	200	45	14	14	NUM
ejpam-5614	200	46	0.000531	0.000531	NUM
ejpam-5614	200	47	25	25	NUM
ejpam-5614	200	48	0.000543	0.000543	NUM
ejpam-5614	200	49	14	14	NUM
ejpam-5614	200	50	0.000209	0.000209	NUM
ejpam-5614	200	51	7	7	NUM
ejpam-5614	200	52	22	22	NUM
ejpam-5614	200	53	0.000375	0.000375	NUM
ejpam-5614	200	54	20	20	NUM
ejpam-5614	200	55	0.000705	0.000705	NUM
ejpam-5614	200	56	36	36	NUM
ejpam-5614	200	57	0.000098	0.000098	NUM
ejpam-5614	200	58	20	20	NUM
ejpam-5614	200	59	0.000308	0.000308	NUM
ejpam-5614	200	60	8	8	NUM
ejpam-5614	200	61	28	28	NUM
ejpam-5614	200	62	0.000505	0.000505	NUM
ejpam-5614	200	63	26	26	NUM
ejpam-5614	200	64	0.000934	0.000934	NUM
ejpam-5614	200	65	49	49	NUM
ejpam-5614	200	66	0.000197	0.000197	NUM
ejpam-5614	200	67	26	26	NUM
ejpam-5614	200	68	0.000372	0.000372	NUM
ejpam-5614	200	69	9	9	NUM
ejpam-5614	200	70	37	37	NUM
ejpam-5614	200	71	0.000539	0.000539	NUM
ejpam-5614	200	72	35	35	NUM
ejpam-5614	200	73	0.00123	0.00123	NUM
ejpam-5614	200	74	64	64	NUM
ejpam-5614	200	75	0.000261	0.000261	NUM
ejpam-5614	200	76	35	35	NUM
ejpam-5614	200	77	0.000504	0.000504	NUM
ejpam-5614	200	78	10	10	NUM
ejpam-5614	200	79	45	45	NUM
ejpam-5614	200	80	0.000815	0.000815	NUM
ejpam-5614	200	81	42	42	NUM
ejpam-5614	200	82	0.001666	0.001666	NUM
ejpam-5614	200	83	81	81	NUM
ejpam-5614	200	84	0.000305	0.000305	NUM
ejpam-5614	200	85	42	42	NUM
ejpam-5614	200	86	0.000674	0.000674	NUM
ejpam-5614	200	87	11	11	NUM
ejpam-5614	200	88	56	56	NUM
ejpam-5614	200	89	0.000888	0.000888	NUM
ejpam-5614	200	90	53	53	NUM
ejpam-5614	200	91	0.002232	0.002232	NUM
ejpam-5614	200	92	100	100	NUM
ejpam-5614	200	93	0.000393	0.000393	NUM
ejpam-5614	200	94	53	53	NUM
ejpam-5614	200	95	0.000828	0.000828	NUM
ejpam-5614	200	96	12	12	NUM
ejpam-5614	200	97	66	66	NUM
ejpam-5614	200	98	0.001091	0.001091	NUM
ejpam-5614	200	99	62	62	NUM
ejpam-5614	200	100	0.002816	0.002816	NUM
ejpam-5614	200	101	121	121	NUM
ejpam-5614	200	102	0.000563	0.000563	NUM
ejpam-5614	200	103	62	62	NUM
ejpam-5614	200	104	0.001044	0.001044	NUM
ejpam-5614	200	105	13	13	NUM
ejpam-5614	200	106	80	80	NUM
ejpam-5614	200	107	0.001379	0.001379	NUM
ejpam-5614	200	108	75	75	NUM
ejpam-5614	200	109	0.003461	0.003461	NUM
ejpam-5614	200	110	144	144	NUM
ejpam-5614	200	111	0.000678	0.000678	NUM
ejpam-5614	200	112	76	76	NUM
ejpam-5614	200	113	0.001316	0.001316	NUM
ejpam-5614	200	114	14	14	NUM
ejpam-5614	200	115	91	91	NUM
ejpam-5614	200	116	0.001666	0.001666	NUM
ejpam-5614	200	117	86	86	NUM
ejpam-5614	200	118	0.00451	0.00451	NUM
ejpam-5614	200	119	169	169	NUM
ejpam-5614	200	120	0.000717	0.000717	NUM
ejpam-5614	200	121	86	86	NUM
ejpam-5614	200	122	0.001645	0.001645	NUM
ejpam-5614	200	123	50	50	NUM
ejpam-5614	200	124	1225	1225	NUM
ejpam-5614	200	125	0.062379	0.062379	NUM
ejpam-5614	200	126	1202	1202	NUM
ejpam-5614	200	127	0.186789	0.186789	NUM
ejpam-5614	200	128	2401	2401	NUM
ejpam-5614	200	129	0.021464	0.021464	NUM
ejpam-5614	200	130	1202	1202	NUM
ejpam-5614	200	131	0.062123	0.062123	NUM
ejpam-5614	200	132	table	table	NOUN
ejpam-5614	200	133	1	1	NUM
ejpam-5614	200	134	indicates	indicate	VERB
ejpam-5614	200	135	that	that	SCONJ
ejpam-5614	200	136	,	,	PUNCT
ejpam-5614	200	137	for	for	ADP
ejpam-5614	200	138	the	the	DET
ejpam-5614	200	139	path	path	NOUN
ejpam-5614	200	140	,	,	PUNCT
ejpam-5614	200	141	the	the	DET
ejpam-5614	200	142	proposed	propose	VERB
ejpam-5614	200	143	algorithm	algorithm	NOUN
ejpam-5614	200	144	is	be	AUX
ejpam-5614	200	145	preferable	preferable	ADJ
ejpam-5614	200	146	to	to	ADP
ejpam-5614	200	147	ub1	ub1	PROPN
ejpam-5614	200	148	.	.	PUNCT
ejpam-5614	201	1	on	on	ADP
ejpam-5614	201	2	the	the	DET
ejpam-5614	201	3	other	other	ADJ
ejpam-5614	201	4	hand	hand	NOUN
ejpam-5614	201	5	,	,	PUNCT
ejpam-5614	201	6	we	we	PRON
ejpam-5614	201	7	discover	discover	VERB
ejpam-5614	201	8	that	that	SCONJ
ejpam-5614	201	9	the	the	DET
ejpam-5614	201	10	proposed	propose	VERB
ejpam-5614	201	11	algorithm	algorithm	NOUN
ejpam-5614	201	12	is	be	AUX
ejpam-5614	201	13	preferable	preferable	ADJ
ejpam-5614	201	14	to	to	ADP
ejpam-5614	201	15	ub2	ub2	PROPN
ejpam-5614	201	16	in	in	ADP
ejpam-5614	201	17	terms	term	NOUN
ejpam-5614	201	18	of	of	ADP
ejpam-5614	201	19	execution	execution	NOUN
ejpam-5614	201	20	time	time	NOUN
ejpam-5614	201	21	,	,	PUNCT
ejpam-5614	201	22	while	while	SCONJ
ejpam-5614	201	23	it	it	PRON
ejpam-5614	201	24	is	be	AUX
ejpam-5614	201	25	equivalent	equivalent	ADJ
ejpam-5614	201	26	to	to	ADP
ejpam-5614	201	27	ub2	ub2	PROPN
ejpam-5614	201	28	until	until	SCONJ
ejpam-5614	201	29	n	n	PRON
ejpam-5614	201	30	is	be	AUX
ejpam-5614	201	31	less	less	ADJ
ejpam-5614	201	32	than	than	ADP
ejpam-5614	201	33	or	or	CCONJ
ejpam-5614	201	34	equal	equal	ADJ
ejpam-5614	201	35	to	to	ADP
ejpam-5614	201	36	12	12	NUM
ejpam-5614	201	37	.	.	PUNCT
ejpam-5614	202	1	when	when	SCONJ
ejpam-5614	202	2	n	n	PRON
ejpam-5614	202	3	is	be	AUX
ejpam-5614	202	4	greater	great	ADJ
ejpam-5614	202	5	than	than	ADP
ejpam-5614	202	6	or	or	CCONJ
ejpam-5614	202	7	equal	equal	ADJ
ejpam-5614	202	8	to	to	ADP
ejpam-5614	202	9	13	13	NUM
ejpam-5614	202	10	,	,	PUNCT
ejpam-5614	202	11	the	the	DET
ejpam-5614	202	12	algorithm	algorithm	NOUN
ejpam-5614	202	13	ub2	ub2	PROPN
ejpam-5614	202	14	oscillates	oscillate	NOUN
ejpam-5614	202	15	between	between	ADP
ejpam-5614	202	16	equality	equality	NOUN
ejpam-5614	202	17	with	with	ADP
ejpam-5614	202	18	the	the	DET
ejpam-5614	202	19	proposed	propose	VERB
ejpam-5614	202	20	algorithm	algorithm	NOUN
ejpam-5614	202	21	and	and	CCONJ
ejpam-5614	202	22	superiority	superiority	NOUN
ejpam-5614	202	23	.	.	PUNCT
ejpam-5614	203	1	the	the	DET
ejpam-5614	203	2	proposed	propose	VERB
ejpam-5614	203	3	algorithm	algorithm	NOUN
ejpam-5614	203	4	is	be	AUX
ejpam-5614	203	5	preferable	preferable	ADJ
ejpam-5614	203	6	to	to	ADP
ejpam-5614	203	7	ilpm	ilpm	PROPN
ejpam-5614	203	8	.	.	PUNCT
ejpam-5614	204	1	as	as	SCONJ
ejpam-5614	204	2	we	we	PRON
ejpam-5614	204	3	can	can	AUX
ejpam-5614	204	4	observe	observe	VERB
ejpam-5614	204	5	,	,	PUNCT
ejpam-5614	204	6	for	for	ADP
ejpam-5614	204	7	n	n	NOUN
ejpam-5614	204	8	=	=	SYM
ejpam-5614	204	9	1	1	NUM
ejpam-5614	204	10	,	,	PUNCT
ejpam-5614	204	11	all	all	DET
ejpam-5614	204	12	algorithms	algorithm	NOUN
ejpam-5614	204	13	produce	produce	VERB
ejpam-5614	204	14	an	an	DET
ejpam-5614	204	15	rn(g	rn(g	NUM
ejpam-5614	204	16	)	)	PUNCT
ejpam-5614	204	17	value	value	NOUN
ejpam-5614	204	18	of	of	ADP
ejpam-5614	204	19	0	0	NUM
ejpam-5614	204	20	.	.	PUNCT
ejpam-5614	205	1	each	each	DET
ejpam-5614	205	2	algorithm	algorithm	NOUN
ejpam-5614	205	3	takes	take	VERB
ejpam-5614	205	4	a	a	DET
ejpam-5614	205	5	different	different	ADJ
ejpam-5614	205	6	amount	amount	NOUN
ejpam-5614	205	7	of	of	ADP
ejpam-5614	205	8	cpu	cpu	ADJ
ejpam-5614	205	9	time	time	NOUN
ejpam-5614	205	10	to	to	PART
ejpam-5614	205	11	compute	compute	VERB
ejpam-5614	205	12	this	this	DET
ejpam-5614	205	13	result	result	NOUN
ejpam-5614	205	14	.	.	PUNCT
ejpam-5614	206	1	ub1	ub1	PROPN
ejpam-5614	206	2	takes	take	VERB
ejpam-5614	206	3	the	the	DET
ejpam-5614	206	4	least	least	ADJ
ejpam-5614	206	5	time	time	NOUN
ejpam-5614	206	6	,	,	PUNCT
ejpam-5614	206	7	n.	n.	PROPN
ejpam-5614	206	8	m.	m.	NOUN
ejpam-5614	206	9	noureldeen	noureldeen	NOUN
ejpam-5614	206	10	et	et	PROPN
ejpam-5614	206	11	al	al	PROPN
ejpam-5614	206	12	.	.	PUNCT
ejpam-5614	206	13	/	/	SYM
ejpam-5614	206	14	eur	eur	PROPN
ejpam-5614	206	15	.	.	PUNCT
ejpam-5614	207	1	j.	j.	PROPN
ejpam-5614	207	2	pure	pure	PROPN
ejpam-5614	207	3	appl	appl	PROPN
ejpam-5614	207	4	.	.	PROPN
ejpam-5614	207	5	math	math	PROPN
ejpam-5614	207	6	,	,	PUNCT
ejpam-5614	207	7	18	18	NUM
ejpam-5614	207	8	(	(	PUNCT
ejpam-5614	207	9	1	1	NUM
ejpam-5614	207	10	)	)	PUNCT
ejpam-5614	207	11	(	(	PUNCT
ejpam-5614	207	12	2025	2025	NUM
ejpam-5614	207	13	)	)	PUNCT
ejpam-5614	207	14	,	,	PUNCT
ejpam-5614	207	15	5614	5614	NUM
ejpam-5614	207	16	10	10	NUM
ejpam-5614	207	17	of	of	ADP
ejpam-5614	207	18	18	18	NUM
ejpam-5614	207	19	followed	follow	VERB
ejpam-5614	207	20	by	by	ADP
ejpam-5614	207	21	ub2	ub2	PROPN
ejpam-5614	207	22	,	,	PUNCT
ejpam-5614	207	23	ilpm	ilpm	NOUN
ejpam-5614	207	24	,	,	PUNCT
ejpam-5614	207	25	and	and	CCONJ
ejpam-5614	207	26	ub3	ub3	ADJ
ejpam-5614	207	27	.	.	PUNCT
ejpam-5614	208	1	as	as	ADP
ejpam-5614	208	2	n	n	PRON
ejpam-5614	208	3	increases	increase	NOUN
ejpam-5614	208	4	,	,	PUNCT
ejpam-5614	208	5	the	the	DET
ejpam-5614	208	6	rn(g	rn(g	NUM
ejpam-5614	208	7	)	)	PUNCT
ejpam-5614	208	8	values	value	NOUN
ejpam-5614	208	9	also	also	ADV
ejpam-5614	208	10	increase	increase	VERB
ejpam-5614	208	11	for	for	ADP
ejpam-5614	208	12	all	all	DET
ejpam-5614	208	13	algorithms	algorithm	NOUN
ejpam-5614	208	14	.	.	PUNCT
ejpam-5614	209	1	this	this	PRON
ejpam-5614	209	2	indicates	indicate	VERB
ejpam-5614	209	3	that	that	SCONJ
ejpam-5614	209	4	the	the	DET
ejpam-5614	209	5	complexity	complexity	NOUN
ejpam-5614	209	6	of	of	ADP
ejpam-5614	209	7	the	the	DET
ejpam-5614	209	8	graph	graph	NOUN
ejpam-5614	209	9	structure	structure	NOUN
ejpam-5614	209	10	increases	increase	NOUN
ejpam-5614	209	11	as	as	ADP
ejpam-5614	209	12	the	the	DET
ejpam-5614	209	13	size	size	NOUN
ejpam-5614	209	14	of	of	ADP
ejpam-5614	209	15	the	the	DET
ejpam-5614	209	16	path	path	NOUN
ejpam-5614	209	17	graph	graph	NOUN
ejpam-5614	209	18	grows	grow	VERB
ejpam-5614	209	19	.	.	PUNCT
ejpam-5614	210	1	the	the	DET
ejpam-5614	210	2	cpu	cpu	NOUN
ejpam-5614	210	3	time	time	NOUN
ejpam-5614	210	4	also	also	ADV
ejpam-5614	210	5	increases	increase	VERB
ejpam-5614	210	6	as	as	ADP
ejpam-5614	210	7	the	the	DET
ejpam-5614	210	8	graph	graph	NOUN
ejpam-5614	210	9	size	size	NOUN
ejpam-5614	210	10	increases	increase	NOUN
ejpam-5614	210	11	.	.	PUNCT
ejpam-5614	211	1	this	this	PRON
ejpam-5614	211	2	is	be	AUX
ejpam-5614	211	3	expected	expect	VERB
ejpam-5614	211	4	since	since	SCONJ
ejpam-5614	211	5	larger	large	ADJ
ejpam-5614	211	6	graphs	graph	NOUN
ejpam-5614	211	7	require	require	VERB
ejpam-5614	211	8	more	more	ADV
ejpam-5614	211	9	computational	computational	ADJ
ejpam-5614	211	10	effort	effort	NOUN
ejpam-5614	211	11	to	to	PART
ejpam-5614	211	12	compute	compute	VERB
ejpam-5614	211	13	the	the	DET
ejpam-5614	211	14	rn(g	rn(g	NUM
ejpam-5614	211	15	)	)	PUNCT
ejpam-5614	211	16	values	value	NOUN
ejpam-5614	211	17	.	.	PUNCT
ejpam-5614	212	1	for	for	ADP
ejpam-5614	212	2	larger	large	ADJ
ejpam-5614	212	3	values	value	NOUN
ejpam-5614	212	4	of	of	ADP
ejpam-5614	212	5	n	n	CCONJ
ejpam-5614	212	6	,	,	PUNCT
ejpam-5614	212	7	such	such	ADJ
ejpam-5614	212	8	as	as	ADP
ejpam-5614	212	9	n	n	NOUN
ejpam-5614	212	10	=	=	SYM
ejpam-5614	212	11	50	50	NUM
ejpam-5614	212	12	,	,	PUNCT
ejpam-5614	212	13	the	the	DET
ejpam-5614	212	14	cpu	cpu	NOUN
ejpam-5614	212	15	times	time	NOUN
ejpam-5614	212	16	become	become	VERB
ejpam-5614	212	17	significantly	significantly	ADV
ejpam-5614	212	18	higher	high	ADJ
ejpam-5614	212	19	for	for	ADP
ejpam-5614	212	20	all	all	DET
ejpam-5614	212	21	algorithms	algorithm	NOUN
ejpam-5614	212	22	.	.	PUNCT
ejpam-5614	213	1	this	this	PRON
ejpam-5614	213	2	indicates	indicate	VERB
ejpam-5614	213	3	that	that	SCONJ
ejpam-5614	213	4	the	the	DET
ejpam-5614	213	5	computational	computational	ADJ
ejpam-5614	213	6	complexity	complexity	NOUN
ejpam-5614	213	7	of	of	ADP
ejpam-5614	213	8	these	these	DET
ejpam-5614	213	9	algorithms	algorithm	NOUN
ejpam-5614	213	10	increases	increase	VERB
ejpam-5614	213	11	with	with	ADP
ejpam-5614	213	12	the	the	DET
ejpam-5614	213	13	size	size	NOUN
ejpam-5614	213	14	of	of	ADP
ejpam-5614	213	15	the	the	DET
ejpam-5614	213	16	input	input	NOUN
ejpam-5614	213	17	graph	graph	NOUN
ejpam-5614	213	18	.	.	PUNCT
ejpam-5614	213	19	table	table	NOUN
ejpam-5614	213	20	2	2	NUM
ejpam-5614	213	21	:	:	PUNCT
ejpam-5614	213	22	a	a	DET
ejpam-5614	213	23	comparison	comparison	NOUN
ejpam-5614	213	24	among	among	ADP
ejpam-5614	213	25	ub1	ub1	PROPN
ejpam-5614	213	26	,	,	PUNCT
ejpam-5614	213	27	ub2,ub3	ub2,ub3	PROPN
ejpam-5614	213	28	and	and	CCONJ
ejpam-5614	213	29	ilpm	ilpm	PROPN
ejpam-5614	213	30	for	for	ADP
ejpam-5614	213	31	g	g	PROPN
ejpam-5614	213	32	=	=	NOUN
ejpam-5614	213	33	cycle	cycle	NOUN
ejpam-5614	213	34	n	n	PROPN
ejpam-5614	213	35	ub1	ub1	PROPN
ejpam-5614	213	36	ub2	ub2	PROPN
ejpam-5614	213	37	ilpm	ilpm	PROPN
ejpam-5614	213	38	ub3	ub3	PROPN
ejpam-5614	213	39	rn(g	rn(g	NUM
ejpam-5614	213	40	)	)	PUNCT
ejpam-5614	213	41	cpu	cpu	NOUN
ejpam-5614	213	42	time	time	NOUN
ejpam-5614	213	43	rn(g	rn(g	NUM
ejpam-5614	213	44	)	)	PUNCT
ejpam-5614	213	45	cpu	cpu	NOUN
ejpam-5614	213	46	time	time	NOUN
ejpam-5614	213	47	rn(g	rn(g	NUM
ejpam-5614	213	48	)	)	PUNCT
ejpam-5614	213	49	cpu	cpu	NOUN
ejpam-5614	213	50	time	time	NOUN
ejpam-5614	213	51	rn(g	rn(g	NUM
ejpam-5614	213	52	)	)	PUNCT
ejpam-5614	213	53	cpu	cpu	NOUN
ejpam-5614	213	54	time	time	NOUN
ejpam-5614	213	55	1	1	NUM
ejpam-5614	213	56	0	0	NUM
ejpam-5614	213	57	0.000198	0.000198	NUM
ejpam-5614	213	58	0	0	NUM
ejpam-5614	214	1	0.0000348	0.0000348	NUM
ejpam-5614	214	2	0.0000418	0.0000418	NUM
ejpam-5614	214	3	0	0	NUM
ejpam-5614	214	4	0.0000329	0.0000329	NUM
ejpam-5614	214	5	2	2	NUM
ejpam-5614	214	6	1	1	NUM
ejpam-5614	214	7	0.0000478	0.0000478	NUM
ejpam-5614	214	8	1	1	NUM
ejpam-5614	214	9	0.0000434	0.0000434	NUM
ejpam-5614	214	10	0.0000251	0.0000251	NUM
ejpam-5614	214	11	1	1	NUM
ejpam-5614	214	12	0.0000362	0.0000362	NUM
ejpam-5614	214	13	3	3	NUM
ejpam-5614	214	14	2	2	NUM
ejpam-5614	214	15	0.0000738	0.0000738	NUM
ejpam-5614	214	16	2	2	NUM
ejpam-5614	214	17	0.0000862	0.0000862	NUM
ejpam-5614	214	18	2	2	NUM
ejpam-5614	214	19	0.0000426	0.0000426	NUM
ejpam-5614	214	20	2	2	NUM
ejpam-5614	214	21	0.0000537	0.0000537	NUM
ejpam-5614	214	22	4	4	NUM
ejpam-5614	214	23	4	4	NUM
ejpam-5614	214	24	0.000116	0.000116	NUM
ejpam-5614	214	25	4	4	NUM
ejpam-5614	214	26	0.000157	0.000157	NUM
ejpam-5614	214	27	6	6	NUM
ejpam-5614	214	28	0.0000646	0.0000646	NUM
ejpam-5614	214	29	4	4	NUM
ejpam-5614	214	30	0.0000757	0.0000757	NUM
ejpam-5614	214	31	5	5	NUM
ejpam-5614	214	32	4	4	NUM
ejpam-5614	214	33	0.000127	0.000127	NUM
ejpam-5614	214	34	4	4	NUM
ejpam-5614	214	35	0.00027	0.00027	NUM
ejpam-5614	214	36	8	8	NUM
ejpam-5614	214	37	0.0001079	0.0001079	NUM
ejpam-5614	214	38	4	4	NUM
ejpam-5614	214	39	0.000121	0.000121	NUM
ejpam-5614	214	40	6	6	NUM
ejpam-5614	214	41	7	7	NUM
ejpam-5614	214	42	0.000183	0.000183	NUM
ejpam-5614	214	43	7	7	NUM
ejpam-5614	214	44	0.000441	0.000441	NUM
ejpam-5614	214	45	15	15	NUM
ejpam-5614	214	46	0.0001039	0.0001039	NUM
ejpam-5614	214	47	7	7	NUM
ejpam-5614	214	48	0.000150	0.000150	NUM
ejpam-5614	214	49	7	7	NUM
ejpam-5614	214	50	10	10	NUM
ejpam-5614	214	51	0.000265	0.000265	NUM
ejpam-5614	214	52	9	9	NUM
ejpam-5614	214	53	0.000644	0.000644	NUM
ejpam-5614	214	54	18	18	NUM
ejpam-5614	214	55	0.0001659	0.0001659	NUM
ejpam-5614	214	56	10	10	NUM
ejpam-5614	214	57	0.000245	0.000245	NUM
ejpam-5614	214	58	8	8	NUM
ejpam-5614	214	59	13	13	NUM
ejpam-5614	214	60	0.000371	0.000371	NUM
ejpam-5614	214	61	13	13	NUM
ejpam-5614	214	62	0.000977	0.000977	NUM
ejpam-5614	214	63	28	28	NUM
ejpam-5614	214	64	0.0002579	0.0002579	NUM
ejpam-5614	214	65	13	13	NUM
ejpam-5614	214	66	0.000369	0.000369	NUM
ejpam-5614	214	67	9	9	NUM
ejpam-5614	214	68	13	13	NUM
ejpam-5614	214	69	0.000512	0.000512	NUM
ejpam-5614	214	70	12	12	NUM
ejpam-5614	214	71	0.001314	0.001314	NUM
ejpam-5614	214	72	32	32	NUM
ejpam-5614	214	73	0.0004969	0.0004969	NUM
ejpam-5614	214	74	13	13	NUM
ejpam-5614	214	75	0.000508	0.000508	NUM
ejpam-5614	214	76	10	10	NUM
ejpam-5614	214	77	17	17	NUM
ejpam-5614	214	78	0.000686	0.000686	NUM
ejpam-5614	214	79	17	17	NUM
ejpam-5614	214	80	0.001701	0.001701	NUM
ejpam-5614	214	81	45	45	NUM
ejpam-5614	214	82	0.0005569	0.0005569	NUM
ejpam-5614	214	83	17	17	NUM
ejpam-5614	214	84	0.000668	0.000668	NUM
ejpam-5614	214	85	11	11	NUM
ejpam-5614	214	86	21	21	NUM
ejpam-5614	214	87	0.00088	0.00088	NUM
ejpam-5614	214	88	20	20	NUM
ejpam-5614	214	89	0.002198	0.002198	NUM
ejpam-5614	214	90	50	50	NUM
ejpam-5614	214	91	0.0008419	0.0008419	NUM
ejpam-5614	214	92	21	21	NUM
ejpam-5614	214	93	0.000853	0.000853	NUM
ejpam-5614	214	94	12	12	NUM
ejpam-5614	214	95	26	26	NUM
ejpam-5614	214	96	0.001096	0.001096	NUM
ejpam-5614	214	97	26	26	NUM
ejpam-5614	214	98	0.002863	0.002863	NUM
ejpam-5614	214	99	66	66	NUM
ejpam-5614	214	100	0.0010169	0.0010169	NUM
ejpam-5614	214	101	26	26	NUM
ejpam-5614	214	102	0.001028	0.001028	NUM
ejpam-5614	214	103	13	13	NUM
ejpam-5614	214	104	25	25	NUM
ejpam-5614	214	105	0.001412	0.001412	NUM
ejpam-5614	214	106	24	24	NUM
ejpam-5614	214	107	0.003559	0.003559	NUM
ejpam-5614	214	108	72	72	NUM
ejpam-5614	214	109	0.0011609	0.0011609	NUM
ejpam-5614	214	110	25	25	NUM
ejpam-5614	214	111	0.001272	0.001272	NUM
ejpam-5614	214	112	14	14	NUM
ejpam-5614	214	113	31	31	NUM
ejpam-5614	214	114	0.001693	0.001693	NUM
ejpam-5614	214	115	31	31	NUM
ejpam-5614	214	116	0.004457	0.004457	NUM
ejpam-5614	214	117	91	91	NUM
ejpam-5614	214	118	0.0014649	0.0014649	NUM
ejpam-5614	214	119	31	31	NUM
ejpam-5614	214	120	0.001576	0.001576	NUM
ejpam-5614	214	121	50	50	NUM
ejpam-5614	214	122	337	337	NUM
ejpam-5614	214	123	0.062019	0.062019	NUM
ejpam-5614	214	124	337	337	NUM
ejpam-5614	214	125	0.186451	0.186451	NUM
ejpam-5614	214	126	1225	1225	NUM
ejpam-5614	214	127	0.0320259	0.0320259	NUM
ejpam-5614	214	128	337	337	NUM
ejpam-5614	214	129	0.062002	0.062002	NUM
ejpam-5614	214	130	table	table	NOUN
ejpam-5614	214	131	2	2	NUM
ejpam-5614	214	132	indicates	indicate	VERB
ejpam-5614	214	133	that	that	SCONJ
ejpam-5614	214	134	,	,	PUNCT
ejpam-5614	214	135	for	for	ADP
ejpam-5614	214	136	the	the	DET
ejpam-5614	214	137	cycle	cycle	NOUN
ejpam-5614	214	138	,	,	PUNCT
ejpam-5614	214	139	the	the	DET
ejpam-5614	214	140	proposed	propose	VERB
ejpam-5614	214	141	algorithm	algorithm	NOUN
ejpam-5614	214	142	is	be	AUX
ejpam-5614	214	143	preferable	preferable	ADJ
ejpam-5614	214	144	to	to	ADP
ejpam-5614	214	145	ub1	ub1	PROPN
ejpam-5614	214	146	.	.	PUNCT
ejpam-5614	215	1	on	on	ADP
ejpam-5614	215	2	the	the	DET
ejpam-5614	215	3	other	other	ADJ
ejpam-5614	215	4	hand	hand	NOUN
ejpam-5614	215	5	,	,	PUNCT
ejpam-5614	215	6	we	we	PRON
ejpam-5614	215	7	discover	discover	VERB
ejpam-5614	215	8	that	that	SCONJ
ejpam-5614	215	9	the	the	DET
ejpam-5614	215	10	proposed	propose	VERB
ejpam-5614	215	11	algorithm	algorithm	NOUN
ejpam-5614	215	12	is	be	AUX
ejpam-5614	215	13	preferable	preferable	ADJ
ejpam-5614	215	14	to	to	ADP
ejpam-5614	215	15	ub2	ub2	PROPN
ejpam-5614	215	16	in	in	ADP
ejpam-5614	215	17	terms	term	NOUN
ejpam-5614	215	18	of	of	ADP
ejpam-5614	215	19	execution	execution	NOUN
ejpam-5614	215	20	time	time	NOUN
ejpam-5614	215	21	,	,	PUNCT
ejpam-5614	215	22	while	while	SCONJ
ejpam-5614	215	23	it	it	PRON
ejpam-5614	215	24	is	be	AUX
ejpam-5614	215	25	equivalent	equivalent	ADJ
ejpam-5614	215	26	to	to	ADP
ejpam-5614	215	27	ub2	ub2	PROPN
ejpam-5614	215	28	until	until	SCONJ
ejpam-5614	215	29	n	n	PRON
ejpam-5614	215	30	is	be	AUX
ejpam-5614	215	31	less	less	ADJ
ejpam-5614	215	32	than	than	ADP
ejpam-5614	215	33	or	or	CCONJ
ejpam-5614	215	34	equal	equal	ADJ
ejpam-5614	215	35	to	to	ADP
ejpam-5614	215	36	12	12	NUM
ejpam-5614	215	37	.	.	PUNCT
ejpam-5614	216	1	when	when	SCONJ
ejpam-5614	216	2	n	n	PRON
ejpam-5614	216	3	is	be	AUX
ejpam-5614	216	4	greater	great	ADJ
ejpam-5614	216	5	than	than	ADP
ejpam-5614	216	6	or	or	CCONJ
ejpam-5614	216	7	equal	equal	ADJ
ejpam-5614	216	8	to	to	ADP
ejpam-5614	216	9	13	13	NUM
ejpam-5614	216	10	,	,	PUNCT
ejpam-5614	216	11	the	the	DET
ejpam-5614	216	12	algorithm	algorithm	NOUN
ejpam-5614	216	13	ub2	ub2	PROPN
ejpam-5614	216	14	oscillates	oscillate	NOUN
ejpam-5614	216	15	between	between	ADP
ejpam-5614	216	16	equality	equality	NOUN
ejpam-5614	216	17	with	with	ADP
ejpam-5614	216	18	the	the	DET
ejpam-5614	216	19	proposed	propose	VERB
ejpam-5614	216	20	algorithm	algorithm	NOUN
ejpam-5614	216	21	and	and	CCONJ
ejpam-5614	216	22	superiority	superiority	NOUN
ejpam-5614	216	23	.	.	PUNCT
ejpam-5614	217	1	the	the	DET
ejpam-5614	217	2	proposed	propose	VERB
ejpam-5614	217	3	algorithm	algorithm	NOUN
ejpam-5614	217	4	is	be	AUX
ejpam-5614	217	5	preferable	preferable	ADJ
ejpam-5614	217	6	to	to	ADP
ejpam-5614	217	7	ilpm	ilpm	PROPN
ejpam-5614	217	8	.	.	PUNCT
ejpam-5614	218	1	tables	table	NOUN
ejpam-5614	218	2	3	3	NUM
ejpam-5614	218	3	-	-	SYM
ejpam-5614	218	4	5	5	NUM
ejpam-5614	218	5	indicate	indicate	VERB
ejpam-5614	218	6	that	that	SCONJ
ejpam-5614	218	7	,	,	PUNCT
ejpam-5614	218	8	for	for	ADP
ejpam-5614	218	9	the	the	DET
ejpam-5614	218	10	friendships	friendship	NOUN
ejpam-5614	218	11	f	f	PROPN
ejpam-5614	218	12	3,k	3,k	PROPN
ejpam-5614	218	13	,	,	PUNCT
ejpam-5614	218	14	f	f	PROPN
ejpam-5614	219	1	4,k	4,k	NUM
ejpam-5614	219	2	,	,	PUNCT
ejpam-5614	219	3	and	and	CCONJ
ejpam-5614	219	4	f	f	PROPN
ejpam-5614	219	5	5,k	5,k	PROPN
ejpam-5614	219	6	,	,	PUNCT
ejpam-5614	219	7	the	the	DET
ejpam-5614	219	8	proposed	propose	VERB
ejpam-5614	219	9	algorithm	algorithm	NOUN
ejpam-5614	219	10	is	be	AUX
ejpam-5614	219	11	preferable	preferable	ADJ
ejpam-5614	219	12	to	to	ADP
ejpam-5614	219	13	ub1	ub1	PROPN
ejpam-5614	219	14	.	.	PUNCT
ejpam-5614	220	1	on	on	ADP
ejpam-5614	220	2	the	the	DET
ejpam-5614	220	3	other	other	ADJ
ejpam-5614	220	4	hand	hand	NOUN
ejpam-5614	220	5	,	,	PUNCT
ejpam-5614	220	6	we	we	PRON
ejpam-5614	220	7	discover	discover	VERB
ejpam-5614	220	8	that	that	SCONJ
ejpam-5614	220	9	the	the	DET
ejpam-5614	220	10	proposed	propose	VERB
ejpam-5614	220	11	algorithm	algorithm	NOUN
ejpam-5614	220	12	is	be	AUX
ejpam-5614	220	13	preferable	preferable	ADJ
ejpam-5614	220	14	to	to	ADP
ejpam-5614	220	15	ub2	ub2	PROPN
ejpam-5614	220	16	in	in	ADP
ejpam-5614	220	17	terms	term	NOUN
ejpam-5614	220	18	of	of	ADP
ejpam-5614	220	19	execution	execution	NOUN
ejpam-5614	220	20	time	time	NOUN
ejpam-5614	220	21	,	,	PUNCT
ejpam-5614	220	22	while	while	SCONJ
ejpam-5614	220	23	it	it	PRON
ejpam-5614	220	24	is	be	AUX
ejpam-5614	220	25	equivalent	equivalent	ADJ
ejpam-5614	220	26	to	to	ADP
ejpam-5614	220	27	ub2	ub2	PROPN
ejpam-5614	220	28	until	until	SCONJ
ejpam-5614	220	29	n	n	PRON
ejpam-5614	220	30	is	be	AUX
ejpam-5614	220	31	less	less	ADJ
ejpam-5614	220	32	than	than	ADP
ejpam-5614	220	33	or	or	CCONJ
ejpam-5614	220	34	equal	equal	ADJ
ejpam-5614	220	35	to	to	ADP
ejpam-5614	220	36	12	12	NUM
ejpam-5614	220	37	.	.	PUNCT
ejpam-5614	221	1	for	for	ADP
ejpam-5614	221	2	f	f	PROPN
ejpam-5614	221	3	3,k	3,k	PROPN
ejpam-5614	221	4	,	,	PUNCT
ejpam-5614	221	5	table	table	NOUN
ejpam-5614	221	6	3	3	NUM
ejpam-5614	221	7	shows	show	VERB
ejpam-5614	221	8	that	that	SCONJ
ejpam-5614	221	9	the	the	DET
ejpam-5614	221	10	algorithms	algorithm	NOUN
ejpam-5614	221	11	ub2	ub2	PROPN
ejpam-5614	221	12	and	and	CCONJ
ejpam-5614	221	13	the	the	DET
ejpam-5614	221	14	proposed	propose	VERB
ejpam-5614	221	15	algorithm	algorithm	NOUN
ejpam-5614	221	16	are	be	AUX
ejpam-5614	221	17	equivalent	equivalent	ADJ
ejpam-5614	221	18	except	except	SCONJ
ejpam-5614	221	19	at	at	ADP
ejpam-5614	221	20	k	k	PROPN
ejpam-5614	221	21	=	=	SYM
ejpam-5614	221	22	3	3	NUM
ejpam-5614	221	23	,	,	PUNCT
ejpam-5614	221	24	5	5	NUM
ejpam-5614	221	25	,	,	PUNCT
ejpam-5614	221	26	7	7	NUM
ejpam-5614	221	27	.	.	X
ejpam-5614	221	28	for	for	ADP
ejpam-5614	221	29	f	f	PROPN
ejpam-5614	221	30	4,k	4,k	PROPN
ejpam-5614	221	31	,	,	PUNCT
ejpam-5614	221	32	and	and	CCONJ
ejpam-5614	221	33	f	f	PROPN
ejpam-5614	221	34	5,k	5,k	NUM
ejpam-5614	221	35	,	,	PUNCT
ejpam-5614	221	36	tables	table	VERB
ejpam-5614	221	37	3	3	NUM
ejpam-5614	221	38	-	-	SYM
ejpam-5614	221	39	4	4	NUM
ejpam-5614	221	40	show	show	VERB
ejpam-5614	221	41	that	that	SCONJ
ejpam-5614	221	42	the	the	DET
ejpam-5614	221	43	algorithms	algorithm	NOUN
ejpam-5614	221	44	ub2	ub2	PROPN
ejpam-5614	221	45	and	and	CCONJ
ejpam-5614	221	46	the	the	DET
ejpam-5614	221	47	proposed	propose	VERB
ejpam-5614	221	48	algorithm	algorithm	NOUN
ejpam-5614	221	49	are	be	AUX
ejpam-5614	221	50	equivalent	equivalent	ADJ
ejpam-5614	221	51	except	except	SCONJ
ejpam-5614	221	52	at	at	ADP
ejpam-5614	221	53	k	k	PROPN
ejpam-5614	221	54	=	=	SYM
ejpam-5614	221	55	2	2	X
ejpam-5614	221	56	.	.	PUNCT
ejpam-5614	222	1	the	the	DET
ejpam-5614	222	2	proposed	propose	VERB
ejpam-5614	222	3	algorithm	algorithm	NOUN
ejpam-5614	222	4	is	be	AUX
ejpam-5614	222	5	preferable	preferable	ADJ
ejpam-5614	222	6	to	to	ADP
ejpam-5614	222	7	ilpm	ilpm	PROPN
ejpam-5614	222	8	.	.	PUNCT
ejpam-5614	223	1	table	table	NOUN
ejpam-5614	223	2	3	3	NUM
ejpam-5614	223	3	:	:	PUNCT
ejpam-5614	223	4	a	a	DET
ejpam-5614	223	5	comparison	comparison	NOUN
ejpam-5614	223	6	among	among	ADP
ejpam-5614	223	7	ub1	ub1	PROPN
ejpam-5614	223	8	,	,	PUNCT
ejpam-5614	223	9	ub2	ub2	PROPN
ejpam-5614	223	10	,	,	PUNCT
ejpam-5614	223	11	ub3	ub3	ADJ
ejpam-5614	223	12	and	and	CCONJ
ejpam-5614	223	13	ilpm	ilpm	NOUN
ejpam-5614	223	14	for	for	ADP
ejpam-5614	223	15	g	g	PROPN
ejpam-5614	223	16	=	=	SYM
ejpam-5614	223	17	friendship	friendship	NOUN
ejpam-5614	223	18	graph	graph	NOUN
ejpam-5614	223	19	f	f	PROPN
ejpam-5614	223	20	3,k	3,k	PROPN
ejpam-5614	223	21	k	k	PROPN
ejpam-5614	224	1	n	n	CCONJ
ejpam-5614	224	2	ub1	ub1	PROPN
ejpam-5614	224	3	ub2	ub2	PROPN
ejpam-5614	224	4	ilpm	ilpm	PROPN
ejpam-5614	224	5	ub3	ub3	PROPN
ejpam-5614	224	6	rn(g	rn(g	NUM
ejpam-5614	224	7	)	)	PUNCT
ejpam-5614	224	8	cpu	cpu	NOUN
ejpam-5614	224	9	time	time	NOUN
ejpam-5614	224	10	rn(g	rn(g	NUM
ejpam-5614	224	11	)	)	PUNCT
ejpam-5614	224	12	cpu	cpu	NOUN
ejpam-5614	224	13	time	time	NOUN
ejpam-5614	224	14	rn(g	rn(g	NUM
ejpam-5614	224	15	)	)	PUNCT
ejpam-5614	224	16	cpu	cpu	NOUN
ejpam-5614	224	17	time	time	NOUN
ejpam-5614	224	18	rn(g	rn(g	NUM
ejpam-5614	224	19	)	)	PUNCT
ejpam-5614	224	20	cpu	cpu	NOUN
ejpam-5614	224	21	time	time	NOUN
ejpam-5614	224	22	1	1	NUM
ejpam-5614	224	23	3	3	NUM
ejpam-5614	224	24	2	2	NUM
ejpam-5614	224	25	0.000352	0.000352	NUM
ejpam-5614	224	26	2	2	NUM
ejpam-5614	224	27	0.000117	0.000117	NUM
ejpam-5614	224	28	4	4	NUM
ejpam-5614	224	29	0.000075	0.000075	NUM
ejpam-5614	224	30	2	2	NUM
ejpam-5614	224	31	0.000116	0.000116	NUM
ejpam-5614	224	32	2	2	NUM
ejpam-5614	224	33	5	5	NUM
ejpam-5614	224	34	5	5	NUM
ejpam-5614	224	35	0.000199	0.000199	NUM
ejpam-5614	224	36	5	5	NUM
ejpam-5614	224	37	0.000277	0.000277	NUM
ejpam-5614	224	38	7	7	NUM
ejpam-5614	224	39	0.000037	0.000037	NUM
ejpam-5614	224	40	5	5	NUM
ejpam-5614	224	41	0.000148	0.000148	NUM
ejpam-5614	224	42	3	3	NUM
ejpam-5614	224	43	7	7	NUM
ejpam-5614	224	44	8	8	NUM
ejpam-5614	224	45	0.000347	0.000347	NUM
ejpam-5614	224	46	7	7	NUM
ejpam-5614	224	47	0.000675	0.000675	NUM
ejpam-5614	224	48	10	10	NUM
ejpam-5614	224	49	0.000172	0.000172	NUM
ejpam-5614	224	50	8	8	NUM
ejpam-5614	224	51	0.000283	0.000283	NUM
ejpam-5614	224	52	4	4	NUM
ejpam-5614	224	53	9	9	NUM
ejpam-5614	224	54	9	9	NUM
ejpam-5614	224	55	0.000542	0.000542	NUM
ejpam-5614	224	56	9	9	NUM
ejpam-5614	224	57	0.001369	0.001369	NUM
ejpam-5614	224	58	13	13	NUM
ejpam-5614	224	59	0.000408	0.000408	NUM
ejpam-5614	224	60	9	9	NUM
ejpam-5614	224	61	0.000519	0.000519	NUM
ejpam-5614	224	62	5	5	NUM
ejpam-5614	224	63	11	11	NUM
ejpam-5614	224	64	12	12	NUM
ejpam-5614	224	65	0.000964	0.000964	NUM
ejpam-5614	224	66	11	11	NUM
ejpam-5614	224	67	0.002313	0.002313	NUM
ejpam-5614	224	68	16	16	NUM
ejpam-5614	224	69	0.000847	0.000847	NUM
ejpam-5614	224	70	12	12	NUM
ejpam-5614	224	71	0.000958	0.000958	NUM
ejpam-5614	224	72	6	6	NUM
ejpam-5614	224	73	13	13	NUM
ejpam-5614	224	74	13	13	NUM
ejpam-5614	224	75	0.001391	0.001391	NUM
ejpam-5614	224	76	13	13	NUM
ejpam-5614	224	77	0.00376	0.00376	NUM
ejpam-5614	224	78	19	19	NUM
ejpam-5614	224	79	0.000291	0.000291	NUM
ejpam-5614	224	80	13	13	NUM
ejpam-5614	224	81	0.001402	0.001402	NUM
ejpam-5614	224	82	7	7	NUM
ejpam-5614	224	83	15	15	NUM
ejpam-5614	224	84	16	16	NUM
ejpam-5614	224	85	0.002084	0.002084	NUM
ejpam-5614	224	86	15	15	NUM
ejpam-5614	224	87	0.005837	0.005837	NUM
ejpam-5614	224	88	22	22	NUM
ejpam-5614	224	89	0.000861	0.000861	NUM
ejpam-5614	224	90	16	16	NUM
ejpam-5614	224	91	0.001972	0.001972	NUM
ejpam-5614	224	92	8	8	NUM
ejpam-5614	224	93	17	17	NUM
ejpam-5614	224	94	17	17	NUM
ejpam-5614	224	95	0.002893	0.002893	NUM
ejpam-5614	224	96	17	17	NUM
ejpam-5614	224	97	0.008048	0.008048	NUM
ejpam-5614	224	98	25	25	NUM
ejpam-5614	224	99	0.001774	0.001774	NUM
ejpam-5614	224	100	17	17	NUM
ejpam-5614	224	101	0.002885	0.002885	NUM
ejpam-5614	224	102	9	9	NUM
ejpam-5614	224	103	19	19	NUM
ejpam-5614	224	104	20	20	NUM
ejpam-5614	224	105	0.004048	0.004048	NUM
ejpam-5614	224	106	19	19	NUM
ejpam-5614	224	107	0.011799	0.011799	NUM
ejpam-5614	224	108	28	28	NUM
ejpam-5614	224	109	0.002924	0.002924	NUM
ejpam-5614	224	110	20	20	NUM
ejpam-5614	224	111	0.004035	0.004035	NUM
ejpam-5614	224	112	10	10	NUM
ejpam-5614	224	113	21	21	NUM
ejpam-5614	224	114	21	21	NUM
ejpam-5614	224	115	0.00543	0.00543	NUM
ejpam-5614	224	116	21	21	NUM
ejpam-5614	224	117	0.015302	0.015302	NUM
ejpam-5614	224	118	31	31	NUM
ejpam-5614	224	119	0.004015	0.004015	NUM
ejpam-5614	224	120	21	21	NUM
ejpam-5614	224	121	0.005126	0.005126	NUM
ejpam-5614	224	122	11	11	NUM
ejpam-5614	224	123	23	23	NUM
ejpam-5614	224	124	24	24	NUM
ejpam-5614	224	125	0.007658	0.007658	NUM
ejpam-5614	224	126	23	23	NUM
ejpam-5614	224	127	0.020273	0.020273	NUM
ejpam-5614	224	128	34	34	NUM
ejpam-5614	224	129	0.005977	0.005977	NUM
ejpam-5614	224	130	24	24	NUM
ejpam-5614	224	131	0.007088	0.007088	NUM
ejpam-5614	224	132	12	12	NUM
ejpam-5614	224	133	25	25	NUM
ejpam-5614	224	134	25	25	NUM
ejpam-5614	224	135	0.009249	0.009249	NUM
ejpam-5614	224	136	25	25	NUM
ejpam-5614	224	137	0.025301	0.025301	NUM
ejpam-5614	224	138	37	37	NUM
ejpam-5614	224	139	0.007643	0.007643	NUM
ejpam-5614	224	140	25	25	NUM
ejpam-5614	224	141	0.008754	0.008754	NUM
ejpam-5614	224	142	13	13	NUM
ejpam-5614	224	143	27	27	NUM
ejpam-5614	224	144	28	28	NUM
ejpam-5614	224	145	0.011044	0.011044	NUM
ejpam-5614	224	146	27	27	NUM
ejpam-5614	224	147	0.03207	0.03207	NUM
ejpam-5614	224	148	40	40	NUM
ejpam-5614	224	149	0.000837	0.000837	NUM
ejpam-5614	224	150	28	28	NUM
ejpam-5614	224	151	0.010948	0.010948	NUM
ejpam-5614	224	152	14	14	NUM
ejpam-5614	224	153	29	29	NUM
ejpam-5614	224	154	29	29	NUM
ejpam-5614	224	155	0.014288	0.014288	NUM
ejpam-5614	224	156	29	29	NUM
ejpam-5614	224	157	0.039837	0.039837	NUM
ejpam-5614	224	158	43	43	NUM
ejpam-5614	224	159	0.003468	0.003468	NUM
ejpam-5614	224	160	29	29	NUM
ejpam-5614	224	161	0.013579	0.013579	NUM
ejpam-5614	224	162	50	50	NUM
ejpam-5614	224	163	101	101	NUM
ejpam-5614	224	164	101	101	NUM
ejpam-5614	224	165	0.675397	0.675397	NUM
ejpam-5614	224	166	101	101	NUM
ejpam-5614	224	167	1.773485	1.773485	NUM
ejpam-5614	224	168	151	151	NUM
ejpam-5614	224	169	0.263206	0.263206	NUM
ejpam-5614	224	170	101	101	NUM
ejpam-5614	224	171	0.574317	0.574317	NUM
ejpam-5614	224	172	n.	n.	NOUN
ejpam-5614	224	173	m.	m.	NOUN
ejpam-5614	224	174	noureldeen	noureldeen	NOUN
ejpam-5614	224	175	et	et	PROPN
ejpam-5614	224	176	al	al	PROPN
ejpam-5614	224	177	.	.	PUNCT
ejpam-5614	224	178	/	/	SYM
ejpam-5614	224	179	eur	eur	PROPN
ejpam-5614	224	180	.	.	PUNCT
ejpam-5614	225	1	j.	j.	PROPN
ejpam-5614	225	2	pure	pure	PROPN
ejpam-5614	225	3	appl	appl	PROPN
ejpam-5614	225	4	.	.	PROPN
ejpam-5614	225	5	math	math	PROPN
ejpam-5614	225	6	,	,	PUNCT
ejpam-5614	225	7	18	18	NUM
ejpam-5614	225	8	(	(	PUNCT
ejpam-5614	225	9	1	1	NUM
ejpam-5614	225	10	)	)	PUNCT
ejpam-5614	225	11	(	(	PUNCT
ejpam-5614	225	12	2025	2025	NUM
ejpam-5614	225	13	)	)	PUNCT
ejpam-5614	225	14	,	,	PUNCT
ejpam-5614	225	15	5614	5614	NUM
ejpam-5614	225	16	11	11	NUM
ejpam-5614	225	17	of	of	ADP
ejpam-5614	225	18	18	18	NUM
ejpam-5614	225	19	table	table	NOUN
ejpam-5614	225	20	4	4	NUM
ejpam-5614	225	21	:	:	PUNCT
ejpam-5614	225	22	a	a	DET
ejpam-5614	225	23	comparison	comparison	NOUN
ejpam-5614	225	24	among	among	ADP
ejpam-5614	225	25	ub1	ub1	PROPN
ejpam-5614	225	26	,	,	PUNCT
ejpam-5614	225	27	ub2	ub2	PROPN
ejpam-5614	225	28	,	,	PUNCT
ejpam-5614	225	29	ub3	ub3	ADJ
ejpam-5614	225	30	and	and	CCONJ
ejpam-5614	225	31	ilpm	ilpm	NOUN
ejpam-5614	225	32	for	for	ADP
ejpam-5614	225	33	g	g	PROPN
ejpam-5614	225	34	=	=	SYM
ejpam-5614	225	35	friendship	friendship	NOUN
ejpam-5614	225	36	graph	graph	NOUN
ejpam-5614	225	37	f	f	PROPN
ejpam-5614	225	38	4,k	4,k	PROPN
ejpam-5614	226	1	k	k	PROPN
ejpam-5614	226	2	n	n	CCONJ
ejpam-5614	226	3	ub1	ub1	PROPN
ejpam-5614	226	4	ub2	ub2	PROPN
ejpam-5614	226	5	ilpm	ilpm	PROPN
ejpam-5614	226	6	ub3	ub3	PROPN
ejpam-5614	226	7	rn(g	rn(g	NUM
ejpam-5614	226	8	)	)	PUNCT
ejpam-5614	226	9	cpu	cpu	NOUN
ejpam-5614	226	10	time	time	NOUN
ejpam-5614	226	11	rn(g	rn(g	NUM
ejpam-5614	226	12	)	)	PUNCT
ejpam-5614	226	13	cpu	cpu	NOUN
ejpam-5614	226	14	time	time	NOUN
ejpam-5614	226	15	rn(g	rn(g	NUM
ejpam-5614	226	16	)	)	PUNCT
ejpam-5614	226	17	cpu	cpu	NOUN
ejpam-5614	226	18	time	time	NOUN
ejpam-5614	226	19	rn(g	rn(g	NUM
ejpam-5614	226	20	)	)	PUNCT
ejpam-5614	226	21	cpu	cpu	NOUN
ejpam-5614	226	22	time	time	NOUN
ejpam-5614	226	23	1	1	NUM
ejpam-5614	226	24	3	3	NUM
ejpam-5614	226	25	4	4	NUM
ejpam-5614	226	26	0.000115	0.000115	NUM
ejpam-5614	226	27	4	4	NUM
ejpam-5614	226	28	0.000115	0.000115	NUM
ejpam-5614	226	29	5	5	NUM
ejpam-5614	226	30	0.000063	0.000063	NUM
ejpam-5614	226	31	4	4	NUM
ejpam-5614	226	32	0.000114	0.000114	NUM
ejpam-5614	226	33	2	2	NUM
ejpam-5614	226	34	5	5	NUM
ejpam-5614	226	35	16	16	NUM
ejpam-5614	226	36	0.00024	0.00024	NUM
ejpam-5614	226	37	15	15	NUM
ejpam-5614	226	38	0.00042	0.00042	NUM
ejpam-5614	226	39	17	17	NUM
ejpam-5614	226	40	0.000128	0.000128	NUM
ejpam-5614	226	41	16	16	NUM
ejpam-5614	226	42	0.000239	0.000239	NUM
ejpam-5614	226	43	3	3	NUM
ejpam-5614	226	44	7	7	NUM
ejpam-5614	226	45	22	22	NUM
ejpam-5614	226	46	0.000676	0.000676	NUM
ejpam-5614	226	47	22	22	NUM
ejpam-5614	226	48	0.001321	0.001321	NUM
ejpam-5614	226	49	23	23	NUM
ejpam-5614	226	50	0.000276	0.000276	NUM
ejpam-5614	226	51	22	22	NUM
ejpam-5614	226	52	0.000636	0.000636	NUM
ejpam-5614	226	53	4	4	NUM
ejpam-5614	226	54	9	9	NUM
ejpam-5614	226	55	29	29	NUM
ejpam-5614	226	56	0.001434	0.001434	NUM
ejpam-5614	226	57	29	29	NUM
ejpam-5614	226	58	0.003049	0.003049	NUM
ejpam-5614	226	59	30	30	NUM
ejpam-5614	226	60	0.000525	0.000525	NUM
ejpam-5614	226	61	29	29	NUM
ejpam-5614	226	62	0.001387	0.001387	NUM
ejpam-5614	226	63	5	5	NUM
ejpam-5614	226	64	11	11	NUM
ejpam-5614	226	65	36	36	NUM
ejpam-5614	226	66	0.002458	0.002458	NUM
ejpam-5614	226	67	36	36	NUM
ejpam-5614	226	68	0.006385	0.006385	NUM
ejpam-5614	226	69	37	37	NUM
ejpam-5614	226	70	0.001315	0.001315	NUM
ejpam-5614	226	71	36	36	NUM
ejpam-5614	226	72	0.002426	0.002426	NUM
ejpam-5614	226	73	6	6	NUM
ejpam-5614	226	74	13	13	NUM
ejpam-5614	226	75	43	43	NUM
ejpam-5614	227	1	0.004054	0.004054	NUM
ejpam-5614	227	2	43	43	NUM
ejpam-5614	227	3	0.011824	0.011824	NUM
ejpam-5614	227	4	44	44	NUM
ejpam-5614	227	5	0.002745	0.002745	NUM
ejpam-5614	227	6	43	43	NUM
ejpam-5614	227	7	0.003856	0.003856	NUM
ejpam-5614	227	8	7	7	NUM
ejpam-5614	227	9	15	15	NUM
ejpam-5614	227	10	50	50	NUM
ejpam-5614	227	11	0.006445	0.006445	NUM
ejpam-5614	227	12	50	50	NUM
ejpam-5614	227	13	0.019918	0.019918	NUM
ejpam-5614	227	14	51	51	NUM
ejpam-5614	227	15	0.005039	0.005039	NUM
ejpam-5614	227	16	50	50	NUM
ejpam-5614	227	17	0.00615	0.00615	NUM
ejpam-5614	227	18	8	8	NUM
ejpam-5614	227	19	17	17	NUM
ejpam-5614	227	20	57	57	NUM
ejpam-5614	227	21	0.008756	0.008756	NUM
ejpam-5614	227	22	57	57	NUM
ejpam-5614	227	23	0.031611	0.031611	NUM
ejpam-5614	227	24	58	58	NUM
ejpam-5614	227	25	0.007677	0.007677	NUM
ejpam-5614	227	26	57	57	NUM
ejpam-5614	227	27	0.008788	0.008788	NUM
ejpam-5614	227	28	9	9	NUM
ejpam-5614	227	29	19	19	NUM
ejpam-5614	227	30	64	64	NUM
ejpam-5614	227	31	0.013099	0.013099	NUM
ejpam-5614	227	32	64	64	NUM
ejpam-5614	227	33	0.047747	0.047747	NUM
ejpam-5614	227	34	65	65	NUM
ejpam-5614	227	35	0.011479	0.011479	NUM
ejpam-5614	227	36	64	64	NUM
ejpam-5614	227	37	0.012702	0.012702	NUM
ejpam-5614	227	38	10	10	NUM
ejpam-5614	227	39	21	21	NUM
ejpam-5614	227	40	71	71	NUM
ejpam-5614	227	41	0.01666	0.01666	NUM
ejpam-5614	227	42	71	71	NUM
ejpam-5614	227	43	0.069004	0.069004	NUM
ejpam-5614	227	44	72	72	NUM
ejpam-5614	227	45	0.011591	0.011591	NUM
ejpam-5614	227	46	71	71	NUM
ejpam-5614	227	47	0.016403	0.016403	NUM
ejpam-5614	227	48	11	11	NUM
ejpam-5614	227	49	23	23	NUM
ejpam-5614	227	50	78	78	NUM
ejpam-5614	227	51	0.022505	0.022505	NUM
ejpam-5614	227	52	78	78	NUM
ejpam-5614	227	53	0.09524	0.09524	NUM
ejpam-5614	227	54	79	79	NUM
ejpam-5614	227	55	0.015292	0.015292	NUM
ejpam-5614	227	56	78	78	NUM
ejpam-5614	227	57	0.02259	0.02259	NUM
ejpam-5614	227	58	12	12	NUM
ejpam-5614	227	59	25	25	NUM
ejpam-5614	227	60	85	85	NUM
ejpam-5614	227	61	0.029908	0.029908	NUM
ejpam-5614	227	62	85	85	NUM
ejpam-5614	227	63	0.130633	0.130633	NUM
ejpam-5614	227	64	86	86	NUM
ejpam-5614	227	65	0.017542	0.017542	NUM
ejpam-5614	227	66	85	85	NUM
ejpam-5614	227	67	0.028653	0.028653	NUM
ejpam-5614	227	68	13	13	NUM
ejpam-5614	227	69	27	27	NUM
ejpam-5614	227	70	92	92	NUM
ejpam-5614	227	71	0.036358	0.036358	NUM
ejpam-5614	227	72	92	92	NUM
ejpam-5614	227	73	0.174968	0.174968	NUM
ejpam-5614	227	74	93	93	NUM
ejpam-5614	227	75	0.025987	0.025987	NUM
ejpam-5614	227	76	92	92	NUM
ejpam-5614	227	77	0.037098	0.037098	NUM
ejpam-5614	227	78	14	14	NUM
ejpam-5614	227	79	29	29	NUM
ejpam-5614	227	80	99	99	NUM
ejpam-5614	227	81	0.04407	0.04407	NUM
ejpam-5614	227	82	99	99	NUM
ejpam-5614	227	83	0.228926	0.228926	NUM
ejpam-5614	227	84	100	100	NUM
ejpam-5614	227	85	0.03328	0.03328	NUM
ejpam-5614	227	86	99	99	NUM
ejpam-5614	227	87	0.044391	0.044391	NUM
ejpam-5614	227	88	50	50	NUM
ejpam-5614	227	89	101	101	NUM
ejpam-5614	227	90	351	351	NUM
ejpam-5614	227	91	2.107236	2.107236	NUM
ejpam-5614	227	92	351	351	NUM
ejpam-5614	227	93	27.88631	27.88631	NUM
ejpam-5614	227	94	352	352	NUM
ejpam-5614	227	95	0.771716	0.771716	NUM
ejpam-5614	227	96	351	351	NUM
ejpam-5614	227	97	1.882827	1.882827	NUM
ejpam-5614	227	98	table	table	NOUN
ejpam-5614	227	99	5	5	NUM
ejpam-5614	227	100	:	:	PUNCT
ejpam-5614	227	101	a	a	DET
ejpam-5614	227	102	comparison	comparison	NOUN
ejpam-5614	227	103	among	among	ADP
ejpam-5614	227	104	ub1	ub1	PROPN
ejpam-5614	227	105	,	,	PUNCT
ejpam-5614	227	106	ub2	ub2	PROPN
ejpam-5614	227	107	,	,	PUNCT
ejpam-5614	227	108	ub3	ub3	ADJ
ejpam-5614	227	109	and	and	CCONJ
ejpam-5614	227	110	ilpm	ilpm	NOUN
ejpam-5614	227	111	for	for	ADP
ejpam-5614	227	112	g	g	PROPN
ejpam-5614	227	113	=	=	SYM
ejpam-5614	227	114	friendship	friendship	NOUN
ejpam-5614	227	115	graph	graph	NOUN
ejpam-5614	227	116	f	f	PROPN
ejpam-5614	228	1	5,k	5,k	NUM
ejpam-5614	228	2	k	k	PROPN
ejpam-5614	228	3	n	n	CCONJ
ejpam-5614	228	4	ub1	ub1	PROPN
ejpam-5614	228	5	ub2	ub2	PROPN
ejpam-5614	228	6	ilpm	ilpm	PROPN
ejpam-5614	228	7	ub3	ub3	PROPN
ejpam-5614	228	8	rn(g	rn(g	NUM
ejpam-5614	228	9	)	)	PUNCT
ejpam-5614	228	10	cpu	cpu	NOUN
ejpam-5614	228	11	time	time	NOUN
ejpam-5614	228	12	rn(g	rn(g	NUM
ejpam-5614	228	13	)	)	PUNCT
ejpam-5614	228	14	cpu	cpu	NOUN
ejpam-5614	228	15	time	time	NOUN
ejpam-5614	228	16	rn(g	rn(g	NUM
ejpam-5614	228	17	)	)	PUNCT
ejpam-5614	228	18	cpu	cpu	NOUN
ejpam-5614	228	19	time	time	NOUN
ejpam-5614	228	20	rn(g	rn(g	NUM
ejpam-5614	228	21	)	)	PUNCT
ejpam-5614	228	22	cpu	cpu	NOUN
ejpam-5614	228	23	time	time	NOUN
ejpam-5614	228	24	1	1	NUM
ejpam-5614	228	25	5	5	NUM
ejpam-5614	228	26	4	4	NUM
ejpam-5614	228	27	0.00032	0.00032	NUM
ejpam-5614	228	28	4	4	NUM
ejpam-5614	228	29	0.00031	0.00031	NUM
ejpam-5614	228	30	14	14	NUM
ejpam-5614	228	31	0.000071	0.000071	NUM
ejpam-5614	228	32	4	4	NUM
ejpam-5614	228	33	0.000182	0.000182	NUM
ejpam-5614	228	34	2	2	NUM
ejpam-5614	228	35	9	9	NUM
ejpam-5614	228	36	18	18	NUM
ejpam-5614	228	37	0.000517	0.000517	NUM
ejpam-5614	228	38	17	17	NUM
ejpam-5614	228	39	0.001497	0.001497	NUM
ejpam-5614	228	40	24	24	NUM
ejpam-5614	228	41	0.000457	0.000457	NUM
ejpam-5614	228	42	18	18	NUM
ejpam-5614	228	43	0.000108	0.000108	NUM
ejpam-5614	228	44	3	3	NUM
ejpam-5614	228	45	13	13	NUM
ejpam-5614	228	46	25	25	NUM
ejpam-5614	228	47	0.001336	0.001336	NUM
ejpam-5614	228	48	25	25	NUM
ejpam-5614	228	49	0.003841	0.003841	NUM
ejpam-5614	228	50	35	35	NUM
ejpam-5614	228	51	0.000315	0.000315	NUM
ejpam-5614	228	52	25	25	NUM
ejpam-5614	228	53	0.001426	0.001426	NUM
ejpam-5614	228	54	4	4	NUM
ejpam-5614	228	55	17	17	NUM
ejpam-5614	228	56	33	33	NUM
ejpam-5614	228	57	0.002867	0.002867	NUM
ejpam-5614	228	58	33	33	NUM
ejpam-5614	228	59	0.008418	0.008418	NUM
ejpam-5614	228	60	46	46	NUM
ejpam-5614	228	61	0.001768	0.001768	NUM
ejpam-5614	228	62	33	33	NUM
ejpam-5614	228	63	0.002879	0.002879	NUM
ejpam-5614	228	64	5	5	NUM
ejpam-5614	228	65	21	21	NUM
ejpam-5614	228	66	41	41	NUM
ejpam-5614	228	67	0.005361	0.005361	NUM
ejpam-5614	228	68	41	41	NUM
ejpam-5614	228	69	0.015528	0.015528	NUM
ejpam-5614	228	70	57	57	NUM
ejpam-5614	228	71	0.004308	0.004308	NUM
ejpam-5614	228	72	41	41	NUM
ejpam-5614	228	73	0.005419	0.005419	NUM
ejpam-5614	228	74	6	6	NUM
ejpam-5614	228	75	25	25	NUM
ejpam-5614	228	76	49	49	NUM
ejpam-5614	228	77	0.008805	0.008805	NUM
ejpam-5614	228	78	49	49	NUM
ejpam-5614	228	79	0.025917	0.025917	NUM
ejpam-5614	228	80	68	68	NUM
ejpam-5614	228	81	0.007776	0.007776	NUM
ejpam-5614	228	82	49	49	NUM
ejpam-5614	228	83	0.008887	0.008887	NUM
ejpam-5614	228	84	7	7	NUM
ejpam-5614	228	85	29	29	NUM
ejpam-5614	228	86	57	57	NUM
ejpam-5614	228	87	0.013459	0.013459	NUM
ejpam-5614	228	88	57	57	NUM
ejpam-5614	228	89	0.039922	0.039922	NUM
ejpam-5614	228	90	79	79	NUM
ejpam-5614	228	91	0.002785	0.002785	NUM
ejpam-5614	228	92	57	57	NUM
ejpam-5614	228	93	0.013896	0.013896	NUM
ejpam-5614	228	94	8	8	NUM
ejpam-5614	228	95	33	33	NUM
ejpam-5614	228	96	65	65	NUM
ejpam-5614	228	97	0.01975	0.01975	NUM
ejpam-5614	228	98	65	65	NUM
ejpam-5614	228	99	0.058754	0.058754	NUM
ejpam-5614	228	100	90	90	NUM
ejpam-5614	228	101	0.008407	0.008407	NUM
ejpam-5614	228	102	65	65	NUM
ejpam-5614	228	103	0.019518	0.019518	NUM
ejpam-5614	228	104	9	9	NUM
ejpam-5614	228	105	37	37	NUM
ejpam-5614	228	106	73	73	NUM
ejpam-5614	228	107	0.027393	0.027393	NUM
ejpam-5614	228	108	73	73	NUM
ejpam-5614	228	109	0.082683	0.082683	NUM
ejpam-5614	228	110	101	101	NUM
ejpam-5614	228	111	0.016351	0.016351	NUM
ejpam-5614	228	112	73	73	NUM
ejpam-5614	228	113	0.027462	0.027462	NUM
ejpam-5614	228	114	10	10	NUM
ejpam-5614	228	115	41	41	NUM
ejpam-5614	228	116	81	81	NUM
ejpam-5614	228	117	0.038485	0.038485	NUM
ejpam-5614	228	118	81	81	NUM
ejpam-5614	228	119	0.110506	0.110506	NUM
ejpam-5614	228	120	112	112	NUM
ejpam-5614	228	121	0.025411	0.025411	NUM
ejpam-5614	228	122	81	81	NUM
ejpam-5614	228	123	0.036522	0.036522	NUM
ejpam-5614	228	124	11	11	NUM
ejpam-5614	228	125	45	45	NUM
ejpam-5614	228	126	89	89	NUM
ejpam-5614	228	127	0.048896	0.048896	NUM
ejpam-5614	228	128	89	89	NUM
ejpam-5614	228	129	0.14308	0.14308	NUM
ejpam-5614	228	130	123	123	NUM
ejpam-5614	228	131	0.038162	0.038162	NUM
ejpam-5614	228	132	89	89	NUM
ejpam-5614	228	133	0.049273	0.049273	NUM
ejpam-5614	228	134	12	12	NUM
ejpam-5614	228	135	49	49	NUM
ejpam-5614	228	136	97	97	NUM
ejpam-5614	228	137	0.060881	0.060881	NUM
ejpam-5614	228	138	97	97	NUM
ejpam-5614	228	139	0.180638	0.180638	NUM
ejpam-5614	228	140	134	134	NUM
ejpam-5614	228	141	0.050256	0.050256	NUM
ejpam-5614	228	142	97	97	NUM
ejpam-5614	228	143	0.061367	0.061367	NUM
ejpam-5614	228	144	13	13	NUM
ejpam-5614	228	145	53	53	NUM
ejpam-5614	228	146	105	105	NUM
ejpam-5614	228	147	0.078234	0.078234	NUM
ejpam-5614	228	148	105	105	NUM
ejpam-5614	228	149	0.230682	0.230682	NUM
ejpam-5614	228	150	145	145	NUM
ejpam-5614	228	151	0.067696	0.067696	NUM
ejpam-5614	228	152	105	105	NUM
ejpam-5614	228	153	0.078807	0.078807	NUM
ejpam-5614	228	154	14	14	NUM
ejpam-5614	228	155	57	57	NUM
ejpam-5614	228	156	113	113	NUM
ejpam-5614	228	157	0.097254	0.097254	NUM
ejpam-5614	228	158	113	113	NUM
ejpam-5614	228	159	0.285646	0.285646	NUM
ejpam-5614	228	160	156	156	NUM
ejpam-5614	228	161	0.085658	0.085658	NUM
ejpam-5614	228	162	113	113	NUM
ejpam-5614	228	163	0.096769	0.096769	NUM
ejpam-5614	228	164	50	50	NUM
ejpam-5614	228	165	201	201	NUM
ejpam-5614	228	166	401	401	NUM
ejpam-5614	228	167	4.265029	4.265029	NUM
ejpam-5614	228	168	401	401	NUM
ejpam-5614	228	169	12.58799	12.58799	NUM
ejpam-5614	228	170	552	552	NUM
ejpam-5614	228	171	3.06101	3.06101	NUM
ejpam-5614	228	172	401	401	NUM
ejpam-5614	228	173	4.072021	4.072021	NUM
ejpam-5614	228	174	tables	table	NOUN
ejpam-5614	228	175	6	6	NUM
ejpam-5614	228	176	and	and	CCONJ
ejpam-5614	228	177	7	7	NUM
ejpam-5614	228	178	indicate	indicate	VERB
ejpam-5614	228	179	that	that	SCONJ
ejpam-5614	228	180	,	,	PUNCT
ejpam-5614	228	181	for	for	ADP
ejpam-5614	228	182	the	the	DET
ejpam-5614	228	183	∆ksnakes	∆ksnakes	PROPN
ejpam-5614	228	184	and	and	CCONJ
ejpam-5614	228	185	,	,	PUNCT
ejpam-5614	228	186	kc4	kc4	PROPN
ejpam-5614	228	187	-	-	PUNCT
ejpam-5614	228	188	snakes	snake	NOUN
ejpam-5614	228	189	,	,	PUNCT
ejpam-5614	228	190	the	the	DET
ejpam-5614	228	191	proposed	propose	VERB
ejpam-5614	228	192	algorithm	algorithm	NOUN
ejpam-5614	228	193	is	be	AUX
ejpam-5614	228	194	preferable	preferable	ADJ
ejpam-5614	228	195	to	to	ADP
ejpam-5614	228	196	.	.	PUNCT
ejpam-5614	229	1	on	on	ADP
ejpam-5614	229	2	the	the	DET
ejpam-5614	229	3	other	other	ADJ
ejpam-5614	229	4	hand	hand	NOUN
ejpam-5614	229	5	,	,	PUNCT
ejpam-5614	229	6	we	we	PRON
ejpam-5614	229	7	discover	discover	VERB
ejpam-5614	229	8	that	that	SCONJ
ejpam-5614	229	9	the	the	DET
ejpam-5614	229	10	proposed	propose	VERB
ejpam-5614	229	11	algorithm	algorithm	NOUN
ejpam-5614	229	12	is	be	AUX
ejpam-5614	229	13	preferable	preferable	ADJ
ejpam-5614	229	14	to	to	ADP
ejpam-5614	229	15	ub2	ub2	PROPN
ejpam-5614	229	16	in	in	ADP
ejpam-5614	229	17	terms	term	NOUN
ejpam-5614	229	18	of	of	ADP
ejpam-5614	229	19	execution	execution	NOUN
ejpam-5614	229	20	time	time	NOUN
ejpam-5614	229	21	,	,	PUNCT
ejpam-5614	229	22	while	while	SCONJ
ejpam-5614	229	23	it	it	PRON
ejpam-5614	229	24	is	be	AUX
ejpam-5614	229	25	equivalent	equivalent	ADJ
ejpam-5614	229	26	to	to	ADP
ejpam-5614	229	27	ub2	ub2	PROPN
ejpam-5614	229	28	until	until	SCONJ
ejpam-5614	229	29	n	n	PRON
ejpam-5614	229	30	is	be	AUX
ejpam-5614	229	31	less	less	ADJ
ejpam-5614	229	32	than	than	ADP
ejpam-5614	229	33	or	or	CCONJ
ejpam-5614	229	34	equal	equal	ADJ
ejpam-5614	229	35	to	to	ADP
ejpam-5614	229	36	12	12	NUM
ejpam-5614	229	37	.	.	PUNCT
ejpam-5614	230	1	for	for	ADP
ejpam-5614	230	2	∆ksnakes	∆ksnake	NOUN
ejpam-5614	230	3	table	table	NOUN
ejpam-5614	230	4	6	6	NUM
ejpam-5614	230	5	shows	show	VERB
ejpam-5614	230	6	that	that	SCONJ
ejpam-5614	230	7	the	the	DET
ejpam-5614	230	8	algorithms	algorithm	NOUN
ejpam-5614	230	9	ub2	ub2	PROPN
ejpam-5614	230	10	and	and	CCONJ
ejpam-5614	230	11	the	the	DET
ejpam-5614	230	12	proposed	propose	VERB
ejpam-5614	230	13	algorithm	algorithm	NOUN
ejpam-5614	230	14	are	be	AUX
ejpam-5614	230	15	equivalent	equivalent	ADJ
ejpam-5614	230	16	.	.	PUNCT
ejpam-5614	231	1	for	for	ADP
ejpam-5614	231	2	kc4	kc4	NOUN
ejpam-5614	231	3	-	-	PUNCT
ejpam-5614	231	4	snakes	snake	NOUN
ejpam-5614	231	5	,	,	PUNCT
ejpam-5614	231	6	table	table	NOUN
ejpam-5614	231	7	7	7	NUM
ejpam-5614	231	8	shows	show	VERB
ejpam-5614	231	9	that	that	SCONJ
ejpam-5614	231	10	the	the	DET
ejpam-5614	231	11	algorithms	algorithm	NOUN
ejpam-5614	231	12	ub2	ub2	PROPN
ejpam-5614	231	13	and	and	CCONJ
ejpam-5614	231	14	the	the	DET
ejpam-5614	231	15	proposed	propose	VERB
ejpam-5614	231	16	algorithm	algorithm	NOUN
ejpam-5614	231	17	are	be	AUX
ejpam-5614	231	18	equivalent	equivalent	ADJ
ejpam-5614	231	19	except	except	SCONJ
ejpam-5614	231	20	at	at	ADP
ejpam-5614	231	21	k	k	PROPN
ejpam-5614	231	22	=	=	SYM
ejpam-5614	231	23	2	2	NUM
ejpam-5614	231	24	,	,	PUNCT
ejpam-5614	231	25	5	5	NUM
ejpam-5614	231	26	,	,	PUNCT
ejpam-5614	231	27	7	7	NUM
ejpam-5614	231	28	,	,	PUNCT
ejpam-5614	231	29	13	13	NUM
ejpam-5614	231	30	.	.	PUNCT
ejpam-5614	232	1	the	the	DET
ejpam-5614	232	2	proposed	propose	VERB
ejpam-5614	232	3	algorithm	algorithm	NOUN
ejpam-5614	232	4	is	be	AUX
ejpam-5614	232	5	preferable	preferable	ADJ
ejpam-5614	232	6	to	to	ADP
ejpam-5614	232	7	ilpm	ilpm	PROPN
ejpam-5614	232	8	.	.	PUNCT
ejpam-5614	233	1	table	table	NOUN
ejpam-5614	233	2	6	6	NUM
ejpam-5614	233	3	:	:	PUNCT
ejpam-5614	233	4	a	a	DET
ejpam-5614	233	5	comparison	comparison	NOUN
ejpam-5614	233	6	among	among	ADP
ejpam-5614	233	7	ub1	ub1	PROPN
ejpam-5614	233	8	,	,	PUNCT
ejpam-5614	233	9	ub2	ub2	PROPN
ejpam-5614	233	10	,	,	PUNCT
ejpam-5614	233	11	ub3	ub3	ADJ
ejpam-5614	233	12	and	and	CCONJ
ejpam-5614	233	13	ilpm	ilpm	NOUN
ejpam-5614	233	14	for	for	ADP
ejpam-5614	233	15	triangular	triangular	NOUN
ejpam-5614	233	16	snakes	snake	VERB
ejpam-5614	233	17	∆k	∆k	PROPN
ejpam-5614	233	18	k	k	PROPN
ejpam-5614	233	19	n	n	CCONJ
ejpam-5614	233	20	ub1	ub1	PROPN
ejpam-5614	233	21	ub2	ub2	PROPN
ejpam-5614	233	22	ilpm	ilpm	PROPN
ejpam-5614	233	23	ub3	ub3	PROPN
ejpam-5614	233	24	rn(g	rn(g	NUM
ejpam-5614	233	25	)	)	PUNCT
ejpam-5614	233	26	cpu	cpu	NOUN
ejpam-5614	233	27	time	time	NOUN
ejpam-5614	233	28	rn(g	rn(g	NUM
ejpam-5614	233	29	)	)	PUNCT
ejpam-5614	233	30	cpu	cpu	NOUN
ejpam-5614	233	31	time	time	NOUN
ejpam-5614	233	32	rn(g	rn(g	NUM
ejpam-5614	233	33	)	)	PUNCT
ejpam-5614	233	34	cpu	cpu	NOUN
ejpam-5614	233	35	time	time	NOUN
ejpam-5614	233	36	rn(g	rn(g	NUM
ejpam-5614	233	37	)	)	PUNCT
ejpam-5614	233	38	cpu	cpu	NOUN
ejpam-5614	233	39	time	time	NOUN
ejpam-5614	233	40	1	1	NUM
ejpam-5614	233	41	3	3	NUM
ejpam-5614	234	1	2	2	NUM
ejpam-5614	234	2	0.000297	0.000297	NUM
ejpam-5614	234	3	2	2	NUM
ejpam-5614	234	4	0.000184	0.000184	NUM
ejpam-5614	234	5	2	2	NUM
ejpam-5614	234	6	0.000093	0.000093	NUM
ejpam-5614	234	7	2	2	NUM
ejpam-5614	234	8	0.000204	0.000204	NUM
ejpam-5614	234	9	2	2	NUM
ejpam-5614	234	10	5	5	NUM
ejpam-5614	234	11	5	5	NUM
ejpam-5614	234	12	0.000138	0.000138	NUM
ejpam-5614	234	13	5	5	NUM
ejpam-5614	234	14	0.000293	0.000293	NUM
ejpam-5614	234	15	6	6	NUM
ejpam-5614	234	16	0.000035	0.000035	NUM
ejpam-5614	234	17	5	5	NUM
ejpam-5614	234	18	0.000126	0.000126	NUM
ejpam-5614	234	19	3	3	NUM
ejpam-5614	234	20	7	7	NUM
ejpam-5614	234	21	12	12	NUM
ejpam-5614	234	22	0.000283	0.000283	NUM
ejpam-5614	234	23	11	11	NUM
ejpam-5614	234	24	0.000756	0.000756	NUM
ejpam-5614	234	25	14	14	NUM
ejpam-5614	234	26	0.000082	0.000082	NUM
ejpam-5614	234	27	11	11	NUM
ejpam-5614	234	28	0.000263	0.000263	NUM
ejpam-5614	234	29	4	4	NUM
ejpam-5614	234	30	9	9	NUM
ejpam-5614	234	31	18	18	NUM
ejpam-5614	234	32	0.000531	0.000531	NUM
ejpam-5614	234	33	17	17	NUM
ejpam-5614	234	34	0.001378	0.001378	NUM
ejpam-5614	234	35	26	26	NUM
ejpam-5614	234	36	0.000032	0.000032	NUM
ejpam-5614	234	37	17	17	NUM
ejpam-5614	234	38	0.000513	0.000513	NUM
ejpam-5614	234	39	5	5	NUM
ejpam-5614	234	40	11	11	NUM
ejpam-5614	234	41	30	30	NUM
ejpam-5614	235	1	0.000871	0.000871	NUM
ejpam-5614	235	2	28	28	NUM
ejpam-5614	235	3	0.002301	0.002301	NUM
ejpam-5614	235	4	42	42	NUM
ejpam-5614	235	5	0.000037	0.000037	NUM
ejpam-5614	235	6	28	28	NUM
ejpam-5614	235	7	0.000248	0.000248	NUM
ejpam-5614	235	8	6	6	NUM
ejpam-5614	235	9	13	13	NUM
ejpam-5614	235	10	39	39	NUM
ejpam-5614	235	11	0.001379	0.001379	NUM
ejpam-5614	235	12	37	37	NUM
ejpam-5614	235	13	0.003772	0.003772	NUM
ejpam-5614	235	14	62	62	NUM
ejpam-5614	235	15	0.000038	0.000038	NUM
ejpam-5614	235	16	37	37	NUM
ejpam-5614	235	17	0.001249	0.001249	NUM
ejpam-5614	235	18	7	7	NUM
ejpam-5614	235	19	15	15	NUM
ejpam-5614	235	20	56	56	NUM
ejpam-5614	235	21	0.002113	0.002113	NUM
ejpam-5614	235	22	52	52	NUM
ejpam-5614	235	23	0.005715	0.005715	NUM
ejpam-5614	235	24	86	86	NUM
ejpam-5614	235	25	0.000097	0.000097	NUM
ejpam-5614	235	26	52	52	NUM
ejpam-5614	235	27	0.002108	0.002108	NUM
ejpam-5614	235	28	8	8	NUM
ejpam-5614	235	29	17	17	NUM
ejpam-5614	235	30	68	68	NUM
ejpam-5614	235	31	0.003721	0.003721	NUM
ejpam-5614	235	32	65	65	NUM
ejpam-5614	235	33	0.008235	0.008235	NUM
ejpam-5614	235	34	114	114	NUM
ejpam-5614	235	35	0.000314	0.000314	NUM
ejpam-5614	235	36	65	65	NUM
ejpam-5614	235	37	0.003005	0.003005	NUM
ejpam-5614	235	38	9	9	NUM
ejpam-5614	235	39	19	19	NUM
ejpam-5614	235	40	90	90	NUM
ejpam-5614	235	41	0.004074	0.004074	NUM
ejpam-5614	235	42	85	85	NUM
ejpam-5614	235	43	0.011566	0.011566	NUM
ejpam-5614	235	44	146	146	NUM
ejpam-5614	235	45	0.000321	0.000321	NUM
ejpam-5614	235	46	85	85	NUM
ejpam-5614	235	47	0.004232	0.004232	NUM
ejpam-5614	235	48	10	10	NUM
ejpam-5614	235	49	21	21	NUM
ejpam-5614	235	50	105	105	NUM
ejpam-5614	235	51	0.005461	0.005461	NUM
ejpam-5614	235	52	101	101	NUM
ejpam-5614	235	53	0.015212	0.015212	NUM
ejpam-5614	235	54	182	182	NUM
ejpam-5614	235	55	0.000494	0.000494	NUM
ejpam-5614	235	56	101	101	NUM
ejpam-5614	235	57	0.005805	0.005805	NUM
ejpam-5614	235	58	11	11	NUM
ejpam-5614	235	59	23	23	NUM
ejpam-5614	235	60	132	132	NUM
ejpam-5614	235	61	0.007225	0.007225	NUM
ejpam-5614	235	62	125	125	NUM
ejpam-5614	235	63	0.020041	0.020041	NUM
ejpam-5614	235	64	222	222	NUM
ejpam-5614	235	65	0.000584	0.000584	NUM
ejpam-5614	235	66	125	125	NUM
ejpam-5614	235	67	0.007395	0.007395	NUM
ejpam-5614	235	68	12	12	NUM
ejpam-5614	235	69	25	25	NUM
ejpam-5614	235	70	150	150	NUM
ejpam-5614	235	71	0.008868	0.008868	NUM
ejpam-5614	235	72	145	145	NUM
ejpam-5614	235	73	0.025406	0.025406	NUM
ejpam-5614	235	74	266	266	NUM
ejpam-5614	235	75	0.000696	0.000696	NUM
ejpam-5614	235	76	145	145	NUM
ejpam-5614	235	77	0.008807	0.008807	NUM
ejpam-5614	235	78	13	13	NUM
ejpam-5614	235	79	27	27	NUM
ejpam-5614	235	80	182	182	NUM
ejpam-5614	235	81	0.010933	0.010933	NUM
ejpam-5614	235	82	174	174	NUM
ejpam-5614	235	83	0.031775	0.031775	NUM
ejpam-5614	235	84	314	314	NUM
ejpam-5614	235	85	0.000751	0.000751	NUM
ejpam-5614	235	86	174	174	NUM
ejpam-5614	235	87	0.010862	0.010862	NUM
ejpam-5614	235	88	14	14	NUM
ejpam-5614	235	89	29	29	NUM
ejpam-5614	235	90	203	203	NUM
ejpam-5614	235	91	0.013203	0.013203	NUM
ejpam-5614	235	92	197	197	NUM
ejpam-5614	235	93	0.040166	0.040166	NUM
ejpam-5614	235	94	366	366	NUM
ejpam-5614	235	95	0.000277	0.000277	NUM
ejpam-5614	235	96	197	197	NUM
ejpam-5614	235	97	0.013388	0.013388	NUM
ejpam-5614	235	98	50	50	NUM
ejpam-5614	235	99	101	101	NUM
ejpam-5614	235	100	2525	2525	NUM
ejpam-5614	235	101	0.661005	0.661005	NUM
ejpam-5614	235	102	2501	2501	NUM
ejpam-5614	235	103	1.575407	1.575407	NUM
ejpam-5614	235	104	4902	4902	NUM
ejpam-5614	235	105	0.000995	0.000995	NUM
ejpam-5614	235	106	2501	2501	NUM
ejpam-5614	235	107	0.563346	0.563346	NUM
ejpam-5614	235	108	n.	n.	NOUN
ejpam-5614	235	109	m.	m.	NOUN
ejpam-5614	235	110	noureldeen	noureldeen	NOUN
ejpam-5614	235	111	et	et	PROPN
ejpam-5614	235	112	al	al	PROPN
ejpam-5614	235	113	.	.	PUNCT
ejpam-5614	235	114	/	/	SYM
ejpam-5614	235	115	eur	eur	PROPN
ejpam-5614	235	116	.	.	PUNCT
ejpam-5614	236	1	j.	j.	PROPN
ejpam-5614	236	2	pure	pure	PROPN
ejpam-5614	236	3	appl	appl	PROPN
ejpam-5614	236	4	.	.	PROPN
ejpam-5614	236	5	math	math	PROPN
ejpam-5614	236	6	,	,	PUNCT
ejpam-5614	236	7	18	18	NUM
ejpam-5614	236	8	(	(	PUNCT
ejpam-5614	236	9	1	1	NUM
ejpam-5614	236	10	)	)	PUNCT
ejpam-5614	236	11	(	(	PUNCT
ejpam-5614	236	12	2025	2025	NUM
ejpam-5614	236	13	)	)	PUNCT
ejpam-5614	236	14	,	,	PUNCT
ejpam-5614	236	15	5614	5614	NUM
ejpam-5614	236	16	12	12	NUM
ejpam-5614	236	17	of	of	ADP
ejpam-5614	236	18	18	18	NUM
ejpam-5614	236	19	table	table	NOUN
ejpam-5614	236	20	7	7	NUM
ejpam-5614	236	21	:	:	PUNCT
ejpam-5614	236	22	a	a	DET
ejpam-5614	236	23	comparison	comparison	NOUN
ejpam-5614	236	24	among	among	ADP
ejpam-5614	236	25	ub1	ub1	PROPN
ejpam-5614	236	26	,	,	PUNCT
ejpam-5614	236	27	ub2	ub2	PROPN
ejpam-5614	236	28	,	,	PUNCT
ejpam-5614	236	29	ub3	ub3	ADJ
ejpam-5614	236	30	and	and	CCONJ
ejpam-5614	236	31	ilpm	ilpm	NOUN
ejpam-5614	236	32	for	for	ADP
ejpam-5614	236	33	g=	g=	PROPN
ejpam-5614	236	34	kc4	kc4	PROPN
ejpam-5614	236	35	-	-	PUNCT
ejpam-5614	236	36	snakes	snake	NOUN
ejpam-5614	236	37	graph	graph	NOUN
ejpam-5614	236	38	k	k	PROPN
ejpam-5614	236	39	n	n	CCONJ
ejpam-5614	236	40	ub1	ub1	PROPN
ejpam-5614	236	41	ub2	ub2	PROPN
ejpam-5614	236	42	ilpm	ilpm	PROPN
ejpam-5614	236	43	ub3	ub3	PROPN
ejpam-5614	236	44	rn(g	rn(g	NUM
ejpam-5614	236	45	)	)	PUNCT
ejpam-5614	236	46	cpu	cpu	NOUN
ejpam-5614	236	47	time	time	NOUN
ejpam-5614	236	48	rn(g	rn(g	NUM
ejpam-5614	236	49	)	)	PUNCT
ejpam-5614	236	50	cpu	cpu	NOUN
ejpam-5614	236	51	time	time	NOUN
ejpam-5614	236	52	rn(g	rn(g	NUM
ejpam-5614	236	53	)	)	PUNCT
ejpam-5614	236	54	cpu	cpu	NOUN
ejpam-5614	236	55	time	time	NOUN
ejpam-5614	236	56	rn(g	rn(g	NUM
ejpam-5614	236	57	)	)	PUNCT
ejpam-5614	236	58	cpu	cpu	NOUN
ejpam-5614	236	59	time	time	NOUN
ejpam-5614	236	60	1	1	NUM
ejpam-5614	236	61	4	4	NUM
ejpam-5614	236	62	4	4	NUM
ejpam-5614	236	63	0.000359	0.000359	NUM
ejpam-5614	236	64	4	4	NUM
ejpam-5614	236	65	0.000182	0.000182	NUM
ejpam-5614	236	66	4	4	NUM
ejpam-5614	236	67	0.000027	0.000027	NUM
ejpam-5614	236	68	4	4	NUM
ejpam-5614	236	69	0.000138	0.000138	NUM
ejpam-5614	236	70	2	2	NUM
ejpam-5614	236	71	7	7	NUM
ejpam-5614	236	72	17	17	NUM
ejpam-5614	236	73	0.00029	0.00029	NUM
ejpam-5614	236	74	15	15	NUM
ejpam-5614	236	75	0.00069	0.00069	NUM
ejpam-5614	236	76	17	17	NUM
ejpam-5614	236	77	0.000199	0.000199	NUM
ejpam-5614	236	78	16	16	NUM
ejpam-5614	236	79	0.00021	0.00021	NUM
ejpam-5614	236	80	3	3	NUM
ejpam-5614	236	81	10	10	NUM
ejpam-5614	236	82	33	33	NUM
ejpam-5614	236	83	0.000686	0.000686	NUM
ejpam-5614	236	84	31	31	NUM
ejpam-5614	236	85	0.001912	0.001912	NUM
ejpam-5614	236	86	40	40	NUM
ejpam-5614	236	87	0.000604	0.000604	NUM
ejpam-5614	236	88	31	31	NUM
ejpam-5614	236	89	0.000615	0.000615	NUM
ejpam-5614	236	90	4	4	NUM
ejpam-5614	236	91	13	13	NUM
ejpam-5614	236	92	58	58	NUM
ejpam-5614	237	1	0.001367	0.001367	NUM
ejpam-5614	237	2	55	55	NUM
ejpam-5614	237	3	0.003751	0.003751	NUM
ejpam-5614	237	4	75	75	NUM
ejpam-5614	237	5	0.000267	0.000267	NUM
ejpam-5614	237	6	55	55	NUM
ejpam-5614	237	7	0.001338	0.001338	NUM
ejpam-5614	237	8	5	5	NUM
ejpam-5614	237	9	16	16	NUM
ejpam-5614	237	10	86	86	NUM
ejpam-5614	237	11	0.002531	0.002531	NUM
ejpam-5614	237	12	83	83	NUM
ejpam-5614	237	13	0.006906	0.006906	NUM
ejpam-5614	237	14	122	122	NUM
ejpam-5614	237	15	0.001308	0.001308	NUM
ejpam-5614	237	16	85	85	NUM
ejpam-5614	237	17	0.002419	0.002419	NUM
ejpam-5614	237	18	6	6	NUM
ejpam-5614	237	19	19	19	NUM
ejpam-5614	237	20	122	122	NUM
ejpam-5614	237	21	0.004264	0.004264	NUM
ejpam-5614	237	22	117	117	NUM
ejpam-5614	237	23	0.011311	0.011311	NUM
ejpam-5614	237	24	181	181	NUM
ejpam-5614	237	25	0.002739	0.002739	NUM
ejpam-5614	237	26	117	117	NUM
ejpam-5614	237	27	0.00385	0.00385	NUM
ejpam-5614	237	28	7	7	NUM
ejpam-5614	237	29	22	22	NUM
ejpam-5614	237	30	162	162	NUM
ejpam-5614	237	31	0.006756	0.006756	NUM
ejpam-5614	237	32	157	157	NUM
ejpam-5614	237	33	0.017645	0.017645	NUM
ejpam-5614	237	34	252	252	NUM
ejpam-5614	237	35	0.00501	0.00501	NUM
ejpam-5614	237	36	158	158	NUM
ejpam-5614	237	37	0.006121	0.006121	NUM
ejpam-5614	237	38	8	8	NUM
ejpam-5614	237	39	25	25	NUM
ejpam-5614	237	40	212	212	NUM
ejpam-5614	237	41	0.009442	0.009442	NUM
ejpam-5614	237	42	205	205	NUM
ejpam-5614	237	43	0.025285	0.025285	NUM
ejpam-5614	237	44	335	335	NUM
ejpam-5614	237	45	0.007432	0.007432	NUM
ejpam-5614	237	46	205	205	NUM
ejpam-5614	237	47	0.008543	0.008543	NUM
ejpam-5614	237	48	9	9	NUM
ejpam-5614	237	49	28	28	NUM
ejpam-5614	237	50	266	266	NUM
ejpam-5614	237	51	0.012434	0.012434	NUM
ejpam-5614	237	52	257	257	NUM
ejpam-5614	237	53	0.035349	0.035349	NUM
ejpam-5614	237	54	469	469	NUM
ejpam-5614	237	55	0.001122	0.001122	NUM
ejpam-5614	237	56	257	257	NUM
ejpam-5614	237	57	0.012233	0.012233	NUM
ejpam-5614	237	58	10	10	NUM
ejpam-5614	237	59	31	31	NUM
ejpam-5614	237	60	325	325	NUM
ejpam-5614	237	61	0.016581	0.016581	NUM
ejpam-5614	237	62	316	316	NUM
ejpam-5614	237	63	0.048055	0.048055	NUM
ejpam-5614	237	64	579	579	NUM
ejpam-5614	237	65	0.004575	0.004575	NUM
ejpam-5614	237	66	316	316	NUM
ejpam-5614	237	67	0.015686	0.015686	NUM
ejpam-5614	237	68	11	11	NUM
ejpam-5614	237	69	34	34	NUM
ejpam-5614	237	70	389	389	NUM
ejpam-5614	237	71	0.022227	0.022227	NUM
ejpam-5614	237	72	379	379	NUM
ejpam-5614	237	73	0.063325	0.063325	NUM
ejpam-5614	237	74	656	656	NUM
ejpam-5614	237	75	0.009842	0.009842	NUM
ejpam-5614	237	76	379	379	NUM
ejpam-5614	237	77	0.020953	0.020953	NUM
ejpam-5614	237	78	12	12	NUM
ejpam-5614	237	79	37	37	NUM
ejpam-5614	237	80	462	462	NUM
ejpam-5614	237	81	0.028546	0.028546	NUM
ejpam-5614	237	82	451	451	NUM
ejpam-5614	237	83	0.081115	0.081115	NUM
ejpam-5614	237	84	787	787	NUM
ejpam-5614	237	85	0.016127	0.016127	NUM
ejpam-5614	237	86	451	451	NUM
ejpam-5614	237	87	0.027238	0.027238	NUM
ejpam-5614	237	88	13	13	NUM
ejpam-5614	237	89	40	40	NUM
ejpam-5614	237	90	538	538	NUM
ejpam-5614	237	91	0.034988	0.034988	NUM
ejpam-5614	237	92	527	527	NUM
ejpam-5614	237	93	0.101463	0.101463	NUM
ejpam-5614	237	94	873	873	NUM
ejpam-5614	237	95	0.022944	0.022944	NUM
ejpam-5614	237	96	529	529	NUM
ejpam-5614	237	97	0.034055	0.034055	NUM
ejpam-5614	237	98	14	14	NUM
ejpam-5614	237	99	43	43	NUM
ejpam-5614	237	100	622	622	NUM
ejpam-5614	237	101	0.043549	0.043549	NUM
ejpam-5614	237	102	609	609	NUM
ejpam-5614	237	103	0.12424	0.12424	NUM
ejpam-5614	237	104	981	981	NUM
ejpam-5614	237	105	0.030786	0.030786	NUM
ejpam-5614	237	106	609	609	NUM
ejpam-5614	237	107	0.041897	0.041897	NUM
ejpam-5614	237	108	50	50	NUM
ejpam-5614	237	109	151	151	NUM
ejpam-5614	237	110	7625	7625	NUM
ejpam-5614	237	111	1.866284	1.866284	NUM
ejpam-5614	237	112	7576	7576	NUM
ejpam-5614	237	113	5.209234	5.209234	NUM
ejpam-5614	237	114	14657	14657	NUM
ejpam-5614	237	115	0.654571	0.654571	NUM
ejpam-5614	237	116	7576	7576	NUM
ejpam-5614	237	117	1.765682	1.765682	NUM
ejpam-5614	237	118	table	table	NOUN
ejpam-5614	237	119	8	8	NUM
ejpam-5614	237	120	indicates	indicate	VERB
ejpam-5614	237	121	that	that	SCONJ
ejpam-5614	237	122	,	,	PUNCT
ejpam-5614	237	123	for	for	ADP
ejpam-5614	237	124	the	the	DET
ejpam-5614	237	125	path	path	NOUN
ejpam-5614	237	126	triangular	triangular	PROPN
ejpam-5614	237	127	p3,k	p3,k	PROPN
ejpam-5614	237	128	,	,	PUNCT
ejpam-5614	237	129	the	the	DET
ejpam-5614	237	130	proposed	propose	VERB
ejpam-5614	237	131	algorithm	algorithm	NOUN
ejpam-5614	237	132	is	be	AUX
ejpam-5614	237	133	preferable	preferable	ADJ
ejpam-5614	237	134	to	to	ADP
ejpam-5614	237	135	ub1	ub1	PROPN
ejpam-5614	237	136	.	.	PUNCT
ejpam-5614	238	1	on	on	ADP
ejpam-5614	238	2	the	the	DET
ejpam-5614	238	3	other	other	ADJ
ejpam-5614	238	4	hand	hand	NOUN
ejpam-5614	238	5	,	,	PUNCT
ejpam-5614	238	6	we	we	PRON
ejpam-5614	238	7	discover	discover	VERB
ejpam-5614	238	8	that	that	SCONJ
ejpam-5614	238	9	the	the	DET
ejpam-5614	238	10	proposed	propose	VERB
ejpam-5614	238	11	algorithm	algorithm	NOUN
ejpam-5614	238	12	is	be	AUX
ejpam-5614	238	13	preferable	preferable	ADJ
ejpam-5614	238	14	to	to	ADP
ejpam-5614	238	15	ub2	ub2	PROPN
ejpam-5614	238	16	in	in	ADP
ejpam-5614	238	17	terms	term	NOUN
ejpam-5614	238	18	of	of	ADP
ejpam-5614	238	19	execution	execution	NOUN
ejpam-5614	238	20	time	time	NOUN
ejpam-5614	238	21	,	,	PUNCT
ejpam-5614	238	22	while	while	SCONJ
ejpam-5614	238	23	it	it	PRON
ejpam-5614	238	24	is	be	AUX
ejpam-5614	238	25	equivalent	equivalent	ADJ
ejpam-5614	238	26	to	to	ADP
ejpam-5614	238	27	ub2	ub2	PROPN
ejpam-5614	238	28	until	until	SCONJ
ejpam-5614	238	29	n	n	PRON
ejpam-5614	238	30	is	be	AUX
ejpam-5614	238	31	less	less	ADJ
ejpam-5614	238	32	than	than	ADP
ejpam-5614	238	33	or	or	CCONJ
ejpam-5614	238	34	equal	equal	ADJ
ejpam-5614	238	35	to	to	ADP
ejpam-5614	238	36	12	12	NUM
ejpam-5614	238	37	.	.	PUNCT
ejpam-5614	239	1	for	for	ADP
ejpam-5614	239	2	p3,k	p3,k	PROPN
ejpam-5614	239	3	table	table	NOUN
ejpam-5614	239	4	8	8	NUM
ejpam-5614	239	5	shows	show	VERB
ejpam-5614	239	6	that	that	SCONJ
ejpam-5614	239	7	the	the	DET
ejpam-5614	239	8	algorithms	algorithm	NOUN
ejpam-5614	239	9	ub2	ub2	PROPN
ejpam-5614	239	10	and	and	CCONJ
ejpam-5614	239	11	the	the	DET
ejpam-5614	239	12	proposed	propose	VERB
ejpam-5614	239	13	algorithm	algorithm	NOUN
ejpam-5614	239	14	are	be	AUX
ejpam-5614	239	15	equivalent	equivalent	ADJ
ejpam-5614	239	16	.	.	PUNCT
ejpam-5614	240	1	the	the	DET
ejpam-5614	240	2	proposed	propose	VERB
ejpam-5614	240	3	algorithm	algorithm	NOUN
ejpam-5614	240	4	is	be	AUX
ejpam-5614	240	5	preferable	preferable	ADJ
ejpam-5614	240	6	to	to	ADP
ejpam-5614	240	7	ilpm	ilpm	PROPN
ejpam-5614	240	8	.	.	PUNCT
ejpam-5614	241	1	table	table	NOUN
ejpam-5614	241	2	8	8	NUM
ejpam-5614	241	3	:	:	PUNCT
ejpam-5614	241	4	a	a	DET
ejpam-5614	241	5	comparison	comparison	NOUN
ejpam-5614	241	6	among	among	ADP
ejpam-5614	241	7	ub1	ub1	PROPN
ejpam-5614	241	8	,	,	PUNCT
ejpam-5614	241	9	ub2	ub2	PROPN
ejpam-5614	241	10	,	,	PUNCT
ejpam-5614	241	11	ub3	ub3	ADJ
ejpam-5614	241	12	and	and	CCONJ
ejpam-5614	241	13	ilpm	ilpm	NOUN
ejpam-5614	241	14	for	for	ADP
ejpam-5614	241	15	g	g	PROPN
ejpam-5614	241	16	=	=	SYM
ejpam-5614	241	17	triangular	triangular	NOUN
ejpam-5614	241	18	path	path	NOUN
ejpam-5614	241	19	graph	graph	NOUN
ejpam-5614	241	20	k	k	PROPN
ejpam-5614	241	21	n	n	CCONJ
ejpam-5614	241	22	ub1	ub1	PROPN
ejpam-5614	241	23	ub2	ub2	PROPN
ejpam-5614	241	24	ilpm	ilpm	PROPN
ejpam-5614	241	25	ub3	ub3	PROPN
ejpam-5614	241	26	rn(g	rn(g	NUM
ejpam-5614	241	27	)	)	PUNCT
ejpam-5614	241	28	cpu	cpu	NOUN
ejpam-5614	241	29	time	time	NOUN
ejpam-5614	241	30	rn(g	rn(g	NUM
ejpam-5614	241	31	)	)	PUNCT
ejpam-5614	241	32	cpu	cpu	NOUN
ejpam-5614	241	33	time	time	NOUN
ejpam-5614	241	34	rn(g	rn(g	NUM
ejpam-5614	241	35	)	)	PUNCT
ejpam-5614	241	36	cpu	cpu	NOUN
ejpam-5614	241	37	time	time	NOUN
ejpam-5614	241	38	rn(g	rn(g	NUM
ejpam-5614	241	39	)	)	PUNCT
ejpam-5614	241	40	cpu	cpu	NOUN
ejpam-5614	241	41	time	time	NOUN
ejpam-5614	241	42	1	1	NUM
ejpam-5614	241	43	3	3	NUM
ejpam-5614	241	44	2	2	NUM
ejpam-5614	241	45	0.000127	0.000127	NUM
ejpam-5614	241	46	2	2	NUM
ejpam-5614	241	47	0.000123	0.000123	NUM
ejpam-5614	241	48	2	2	NUM
ejpam-5614	241	49	0.000027	0.000027	NUM
ejpam-5614	241	50	2	2	NUM
ejpam-5614	241	51	0.0000887	0.0000887	NUM
ejpam-5614	241	52	2	2	NUM
ejpam-5614	241	53	6	6	NUM
ejpam-5614	241	54	8	8	NUM
ejpam-5614	241	55	0.000198	0.000198	NUM
ejpam-5614	241	56	8	8	NUM
ejpam-5614	241	57	0.000523	0.000523	NUM
ejpam-5614	241	58	12	12	NUM
ejpam-5614	241	59	0.000234	0.000234	NUM
ejpam-5614	241	60	8	8	NUM
ejpam-5614	241	61	0.000193	0.000193	NUM
ejpam-5614	241	62	3	3	NUM
ejpam-5614	241	63	9	9	NUM
ejpam-5614	241	64	18	18	NUM
ejpam-5614	241	65	0.000543	0.000543	NUM
ejpam-5614	241	66	17	17	NUM
ejpam-5614	241	67	0.001477	0.001477	NUM
ejpam-5614	241	68	26	26	NUM
ejpam-5614	241	69	0.0003968	0.0003968	NUM
ejpam-5614	241	70	17	17	NUM
ejpam-5614	241	71	0.000519	0.000519	NUM
ejpam-5614	241	72	4	4	NUM
ejpam-5614	241	73	12	12	NUM
ejpam-5614	241	74	32	32	NUM
ejpam-5614	241	75	0.001123	0.001123	NUM
ejpam-5614	242	1	29	29	NUM
ejpam-5614	242	2	0.003144	0.003144	NUM
ejpam-5614	242	3	46	46	NUM
ejpam-5614	243	1	0.0004982	0.0004982	NUM
ejpam-5614	244	1	29	29	NUM
ejpam-5614	245	1	0.001085	0.001085	NUM
ejpam-5614	245	2	5	5	NUM
ejpam-5614	245	3	15	15	NUM
ejpam-5614	245	4	46	46	NUM
ejpam-5614	245	5	0.002093	0.002093	NUM
ejpam-5614	245	6	45	45	NUM
ejpam-5614	245	7	0.005782	0.005782	NUM
ejpam-5614	245	8	72	72	NUM
ejpam-5614	245	9	0.0005294	0.0005294	NUM
ejpam-5614	245	10	45	45	NUM
ejpam-5614	245	11	0.002035	0.002035	NUM
ejpam-5614	245	12	6	6	NUM
ejpam-5614	245	13	18	18	NUM
ejpam-5614	245	14	65	65	NUM
ejpam-5614	245	15	0.003492	0.003492	NUM
ejpam-5614	245	16	61	61	NUM
ejpam-5614	245	17	0.009949	0.009949	NUM
ejpam-5614	245	18	104	104	NUM
ejpam-5614	245	19	0.0006289	0.0006289	NUM
ejpam-5614	245	20	61	61	NUM
ejpam-5614	245	21	0.003373	0.003373	NUM
ejpam-5614	245	22	7	7	NUM
ejpam-5614	245	23	21	21	NUM
ejpam-5614	245	24	86	86	NUM
ejpam-5614	245	25	0.005367	0.005367	NUM
ejpam-5614	245	26	82	82	NUM
ejpam-5614	245	27	0.016159	0.016159	NUM
ejpam-5614	245	28	142	142	NUM
ejpam-5614	245	29	0.0007928	0.0007928	NUM
ejpam-5614	245	30	82	82	NUM
ejpam-5614	245	31	0.005314	0.005314	NUM
ejpam-5614	245	32	8	8	NUM
ejpam-5614	245	33	24	24	NUM
ejpam-5614	245	34	110	110	NUM
ejpam-5614	245	35	0.007732	0.007732	NUM
ejpam-5614	245	36	105	105	NUM
ejpam-5614	245	37	0.023089	0.023089	NUM
ejpam-5614	245	38	186	186	NUM
ejpam-5614	245	39	0.0008923	0.0008923	NUM
ejpam-5614	245	40	105	105	NUM
ejpam-5614	245	41	0.007500	0.007500	NUM
ejpam-5614	245	42	9	9	NUM
ejpam-5614	245	43	27	27	NUM
ejpam-5614	245	44	137	137	NUM
ejpam-5614	245	45	0.010508	0.010508	NUM
ejpam-5614	245	46	134	134	NUM
ejpam-5614	245	47	0.032466	0.032466	NUM
ejpam-5614	245	48	236	236	NUM
ejpam-5614	245	49	0.0019276	0.0019276	NUM
ejpam-5614	245	50	134	134	NUM
ejpam-5614	245	51	0.010086	0.010086	NUM
ejpam-5614	245	52	10	10	NUM
ejpam-5614	245	53	30	30	NUM
ejpam-5614	245	54	167	167	NUM
ejpam-5614	245	55	0.015182	0.015182	NUM
ejpam-5614	245	56	161	161	NUM
ejpam-5614	245	57	0.043037	0.043037	NUM
ejpam-5614	245	58	292	292	NUM
ejpam-5614	245	59	0.0029187	0.0029187	NUM
ejpam-5614	245	60	161	161	NUM
ejpam-5614	245	61	0.014900	0.014900	NUM
ejpam-5614	245	62	11	11	NUM
ejpam-5614	245	63	33	33	NUM
ejpam-5614	245	64	200	200	NUM
ejpam-5614	245	65	0.019532	0.019532	NUM
ejpam-5614	245	66	198	198	NUM
ejpam-5614	245	67	0.059199	0.059199	NUM
ejpam-5614	245	68	354	354	NUM
ejpam-5614	245	69	0.0030983	0.0030983	NUM
ejpam-5614	245	70	198	198	NUM
ejpam-5614	245	71	0.019228	0.019228	NUM
ejpam-5614	245	72	12	12	NUM
ejpam-5614	245	73	36	36	NUM
ejpam-5614	245	74	236	236	NUM
ejpam-5614	245	75	0.025369	0.025369	NUM
ejpam-5614	245	76	229	229	NUM
ejpam-5614	245	77	0.075771	0.075771	NUM
ejpam-5614	245	78	422	422	NUM
ejpam-5614	245	79	0.0049876	0.0049876	NUM
ejpam-5614	245	80	229	229	NUM
ejpam-5614	245	81	0.025317	0.025317	NUM
ejpam-5614	245	82	13	13	NUM
ejpam-5614	245	83	39	39	NUM
ejpam-5614	245	84	277	277	NUM
ejpam-5614	245	85	0.033481	0.033481	NUM
ejpam-5614	245	86	274	274	NUM
ejpam-5614	245	87	0.094781	0.094781	NUM
ejpam-5614	245	88	496	496	NUM
ejpam-5614	245	89	0.005691	0.005691	NUM
ejpam-5614	245	90	274	274	NUM
ejpam-5614	245	91	0.031756	0.031756	NUM
ejpam-5614	245	92	14	14	NUM
ejpam-5614	245	93	42	42	NUM
ejpam-5614	245	94	317	317	NUM
ejpam-5614	245	95	0.039851	0.039851	NUM
ejpam-5614	245	96	309	309	NUM
ejpam-5614	245	97	0.115118	0.115118	NUM
ejpam-5614	245	98	576	576	NUM
ejpam-5614	245	99	0.006892	0.006892	NUM
ejpam-5614	245	100	309	309	NUM
ejpam-5614	245	101	0.039622	0.039622	NUM
ejpam-5614	245	102	50	50	NUM
ejpam-5614	245	103	150	150	NUM
ejpam-5614	245	104	3827	3827	NUM
ejpam-5614	245	105	1.840115	1.840115	NUM
ejpam-5614	245	106	3801	3801	NUM
ejpam-5614	245	107	5.127259	5.127259	NUM
ejpam-5614	245	108	7452	7452	NUM
ejpam-5614	245	109	0.26579	0.26579	NUM
ejpam-5614	245	110	3801	3801	NUM
ejpam-5614	245	111	1.702862	1.702862	NUM
ejpam-5614	245	112	4	4	NUM
ejpam-5614	245	113	.	.	PUNCT
ejpam-5614	245	114	application	application	NOUN
ejpam-5614	245	115	of	of	ADP
ejpam-5614	245	116	radio	radio	NOUN
ejpam-5614	245	117	labeling	labeling	NOUN
ejpam-5614	245	118	in	in	ADP
ejpam-5614	245	119	cryptography	cryptography	NOUN
ejpam-5614	245	120	in	in	ADP
ejpam-5614	245	121	this	this	DET
ejpam-5614	245	122	section	section	NOUN
ejpam-5614	245	123	,	,	PUNCT
ejpam-5614	245	124	we	we	PRON
ejpam-5614	245	125	claim	claim	VERB
ejpam-5614	245	126	to	to	PART
ejpam-5614	245	127	use	use	VERB
ejpam-5614	245	128	the	the	DET
ejpam-5614	245	129	upper	upper	ADJ
ejpam-5614	245	130	bound	bind	VERB
ejpam-5614	245	131	of	of	ADP
ejpam-5614	245	132	radio	radio	NOUN
ejpam-5614	245	133	number	number	NOUN
ejpam-5614	245	134	of	of	ADP
ejpam-5614	245	135	a	a	DET
ejpam-5614	245	136	graph	graph	NOUN
ejpam-5614	245	137	obtained	obtain	VERB
ejpam-5614	245	138	from	from	ADP
ejpam-5614	245	139	algorithm	algorithm	NOUN
ejpam-5614	245	140	1	1	NUM
ejpam-5614	245	141	for	for	ADP
ejpam-5614	245	142	encryption	encryption	NOUN
ejpam-5614	245	143	and	and	CCONJ
ejpam-5614	245	144	decryption	decryption	NOUN
ejpam-5614	245	145	.	.	PUNCT
ejpam-5614	246	1	we	we	PRON
ejpam-5614	246	2	will	will	AUX
ejpam-5614	246	3	consider	consider	VERB
ejpam-5614	246	4	the	the	DET
ejpam-5614	246	5	triangular	triangular	NOUN
ejpam-5614	246	6	path	path	NOUN
ejpam-5614	246	7	graph	graph	NOUN
ejpam-5614	246	8	for	for	ADP
ejpam-5614	246	9	the	the	DET
ejpam-5614	246	10	proposed	propose	VERB
ejpam-5614	246	11	cryptography	cryptography	NOUN
ejpam-5614	246	12	approach	approach	NOUN
ejpam-5614	246	13	.	.	PUNCT
ejpam-5614	247	1	4.1	4.1	NUM
ejpam-5614	247	2	.	.	PUNCT
ejpam-5614	247	3	cryptography	cryptography	NOUN
ejpam-5614	247	4	approach	approach	NOUN
ejpam-5614	247	5	let	let	VERB
ejpam-5614	247	6	's	us	PRON
ejpam-5614	247	7	the	the	DET
ejpam-5614	247	8	sender	sender	NOUN
ejpam-5614	247	9	and	and	CCONJ
ejpam-5614	247	10	the	the	DET
ejpam-5614	247	11	receiver	receiver	NOUN
ejpam-5614	247	12	wish	wish	VERB
ejpam-5614	247	13	to	to	PART
ejpam-5614	247	14	communicate	communicate	VERB
ejpam-5614	247	15	in	in	ADP
ejpam-5614	247	16	secure	secure	ADJ
ejpam-5614	247	17	manner	manner	NOUN
ejpam-5614	247	18	.	.	PUNCT
ejpam-5614	248	1	assume	assume	VERB
ejpam-5614	248	2	that	that	SCONJ
ejpam-5614	248	3	the	the	DET
ejpam-5614	248	4	letters	letter	NOUN
ejpam-5614	248	5	a	a	PRON
ejpam-5614	248	6	through	through	ADP
ejpam-5614	248	7	z	z	NOUN
ejpam-5614	248	8	in	in	ADP
ejpam-5614	248	9	the	the	DET
ejpam-5614	248	10	english	english	ADJ
ejpam-5614	248	11	alphabet	alphabet	NOUN
ejpam-5614	248	12	make	make	VERB
ejpam-5614	248	13	up	up	ADP
ejpam-5614	248	14	the	the	DET
ejpam-5614	248	15	message	message	NOUN
ejpam-5614	248	16	m	m	PROPN
ejpam-5614	248	17	,	,	PUNCT
ejpam-5614	248	18	with	with	ADP
ejpam-5614	248	19	spaces	space	NOUN
ejpam-5614	248	20	separating	separate	VERB
ejpam-5614	248	21	each	each	DET
ejpam-5614	248	22	word	word	NOUN
ejpam-5614	248	23	.	.	PUNCT
ejpam-5614	249	1	let	let	VERB
ejpam-5614	249	2	the	the	DET
ejpam-5614	249	3	numerical	numerical	ADJ
ejpam-5614	249	4	counterparts	counterpart	NOUN
ejpam-5614	249	5	of	of	ADP
ejpam-5614	249	6	each	each	DET
ejpam-5614	249	7	letter	letter	NOUN
ejpam-5614	249	8	in	in	ADP
ejpam-5614	249	9	the	the	DET
ejpam-5614	249	10	english	english	ADJ
ejpam-5614	249	11	alphabet	alphabet	PROPN
ejpam-5614	249	12	a	a	PROPN
ejpam-5614	249	13	,	,	PUNCT
ejpam-5614	249	14	b	b	NOUN
ejpam-5614	249	15	,	,	PUNCT
ejpam-5614	249	16	...	...	PUNCT
ejpam-5614	249	17	,	,	PUNCT
ejpam-5614	249	18	and	and	CCONJ
ejpam-5614	249	19	z	z	NOUN
ejpam-5614	249	20	be	be	VERB
ejpam-5614	249	21	1	1	NUM
ejpam-5614	249	22	,	,	PUNCT
ejpam-5614	249	23	2	2	NUM
ejpam-5614	249	24	,	,	PUNCT
ejpam-5614	249	25	...	...	PUNCT
ejpam-5614	249	26	,	,	PUNCT
ejpam-5614	249	27	and	and	CCONJ
ejpam-5614	249	28	26	26	NUM
ejpam-5614	249	29	in	in	ADP
ejpam-5614	249	30	this	this	DET
ejpam-5614	249	31	cryptosystem	cryptosystem	NOUN
ejpam-5614	249	32	.	.	PUNCT
ejpam-5614	250	1	let	let	VERB
ejpam-5614	250	2	0	0	PUNCT
ejpam-5614	250	3	represent	represent	VERB
ejpam-5614	250	4	empty	empty	ADJ
ejpam-5614	250	5	space	space	NOUN
ejpam-5614	250	6	and	and	CCONJ
ejpam-5614	250	7	punctuation	punctuation	NOUN
ejpam-5614	250	8	is	be	AUX
ejpam-5614	250	9	disregarded	disregarded	ADJ
ejpam-5614	250	10	.	.	PUNCT
ejpam-5614	251	1	we	we	PRON
ejpam-5614	251	2	introduce	introduce	VERB
ejpam-5614	251	3	a	a	DET
ejpam-5614	251	4	matrix	matrix	NOUN
ejpam-5614	251	5	-	-	PUNCT
ejpam-5614	251	6	based	base	VERB
ejpam-5614	251	7	cryptographic	cryptographic	ADJ
ejpam-5614	251	8	technique	technique	NOUN
ejpam-5614	251	9	.	.	PUNCT
ejpam-5614	252	1	thus	thus	ADV
ejpam-5614	252	2	n.	n.	PROPN
ejpam-5614	252	3	m.	m.	NOUN
ejpam-5614	252	4	noureldeen	noureldeen	NOUN
ejpam-5614	252	5	et	et	PROPN
ejpam-5614	252	6	al	al	PROPN
ejpam-5614	252	7	.	.	PUNCT
ejpam-5614	252	8	/	/	SYM
ejpam-5614	252	9	eur	eur	PROPN
ejpam-5614	252	10	.	.	PUNCT
ejpam-5614	253	1	j.	j.	PROPN
ejpam-5614	253	2	pure	pure	PROPN
ejpam-5614	253	3	appl	appl	PROPN
ejpam-5614	253	4	.	.	PROPN
ejpam-5614	253	5	math	math	PROPN
ejpam-5614	253	6	,	,	PUNCT
ejpam-5614	253	7	18	18	NUM
ejpam-5614	253	8	(	(	PUNCT
ejpam-5614	253	9	1	1	NUM
ejpam-5614	253	10	)	)	PUNCT
ejpam-5614	253	11	(	(	PUNCT
ejpam-5614	253	12	2025	2025	NUM
ejpam-5614	253	13	)	)	PUNCT
ejpam-5614	253	14	,	,	PUNCT
ejpam-5614	253	15	5614	5614	NUM
ejpam-5614	253	16	13	13	NUM
ejpam-5614	253	17	of	of	ADP
ejpam-5614	253	18	18	18	NUM
ejpam-5614	253	19	only	only	ADV
ejpam-5614	253	20	both	both	PRON
ejpam-5614	253	21	of	of	ADP
ejpam-5614	253	22	sender	sender	NOUN
ejpam-5614	253	23	and	and	CCONJ
ejpam-5614	253	24	receiver	receiver	NOUN
ejpam-5614	253	25	are	be	AUX
ejpam-5614	253	26	know	know	VERB
ejpam-5614	253	27	the	the	DET
ejpam-5614	253	28	key	key	NOUN
ejpam-5614	253	29	,	,	PUNCT
ejpam-5614	253	30	which	which	PRON
ejpam-5614	253	31	is	be	AUX
ejpam-5614	253	32	an	an	DET
ejpam-5614	253	33	invertible	invertible	ADJ
ejpam-5614	253	34	matrix	matrix	NOUN
ejpam-5614	253	35	.	.	PUNCT
ejpam-5614	254	1	in	in	ADP
ejpam-5614	254	2	this	this	DET
ejpam-5614	254	3	section	section	NOUN
ejpam-5614	254	4	,	,	PUNCT
ejpam-5614	254	5	we	we	PRON
ejpam-5614	254	6	suggest	suggest	VERB
ejpam-5614	254	7	a	a	DET
ejpam-5614	254	8	method	method	NOUN
ejpam-5614	254	9	for	for	ADP
ejpam-5614	254	10	creating	create	VERB
ejpam-5614	254	11	such	such	DET
ejpam-5614	254	12	a	a	DET
ejpam-5614	254	13	matrix	matrix	NOUN
ejpam-5614	254	14	using	use	VERB
ejpam-5614	254	15	upper	upper	ADJ
ejpam-5614	254	16	bound	bind	VERB
ejpam-5614	254	17	of	of	ADP
ejpam-5614	254	18	radio	radio	NOUN
ejpam-5614	254	19	number	number	NOUN
ejpam-5614	254	20	of	of	ADP
ejpam-5614	254	21	the	the	DET
ejpam-5614	254	22	triangular	triangular	NOUN
ejpam-5614	254	23	path	path	NOUN
ejpam-5614	254	24	graph	graph	PROPN
ejpam-5614	254	25	p3,k	p3,k	PROPN
ejpam-5614	254	26	.	.	PROPN
ejpam-5614	254	27	suppose	suppose	VERB
ejpam-5614	254	28	the	the	DET
ejpam-5614	254	29	length	length	NOUN
ejpam-5614	254	30	of	of	ADP
ejpam-5614	254	31	plaintext	plaintext	NOUN
ejpam-5614	254	32	m	m	VERB
ejpam-5614	254	33	is	be	AUX
ejpam-5614	254	34	k.	k.	PROPN
ejpam-5614	254	35	then	then	ADV
ejpam-5614	254	36	,	,	PUNCT
ejpam-5614	254	37	we	we	PRON
ejpam-5614	254	38	consider	consider	VERB
ejpam-5614	254	39	triangular	triangular	NOUN
ejpam-5614	254	40	path	path	NOUN
ejpam-5614	254	41	p3,k	p3,k	PROPN
ejpam-5614	254	42	.	.	PUNCT
ejpam-5614	255	1	let	let	VERB
ejpam-5614	255	2	algorithm	algorithm	NOUN
ejpam-5614	255	3	1	1	NUM
ejpam-5614	255	4	produce	produce	VERB
ejpam-5614	255	5	that	that	PRON
ejpam-5614	255	6	the	the	DET
ejpam-5614	255	7	upper	upper	ADJ
ejpam-5614	255	8	bound	bound	NOUN
ejpam-5614	255	9	of	of	ADP
ejpam-5614	255	10	radio	radio	NOUN
ejpam-5614	255	11	number	number	NOUN
ejpam-5614	255	12	of	of	ADP
ejpam-5614	255	13	p3,k	p3,k	PROPN
ejpam-5614	255	14	that	that	PRON
ejpam-5614	255	15	is	be	AUX
ejpam-5614	255	16	rn	rn	PROPN
ejpam-5614	255	17	(	(	PUNCT
ejpam-5614	255	18	p3,k	p3,k	PROPN
ejpam-5614	255	19	)	)	PUNCT
ejpam-5614	255	20	.	.	PUNCT
ejpam-5614	256	1	after	after	ADP
ejpam-5614	256	2	that	that	PRON
ejpam-5614	256	3	,	,	PUNCT
ejpam-5614	256	4	a	a	DET
ejpam-5614	256	5	2x2	2x2	NUM
ejpam-5614	256	6	matrix	matrix	NOUN
ejpam-5614	256	7	a	a	PRON
ejpam-5614	256	8	is	be	AUX
ejpam-5614	256	9	constructed	construct	VERB
ejpam-5614	256	10	as	as	SCONJ
ejpam-5614	256	11	follows	follow	VERB
ejpam-5614	256	12	a	a	DET
ejpam-5614	256	13	=	=	NOUN
ejpam-5614	256	14			NOUN
ejpam-5614	256	15	rn	rn	PROPN
ejpam-5614	256	16	(	(	PUNCT
ejpam-5614	256	17	p3,k	p3,k	PROPN
ejpam-5614	256	18	)	)	PUNCT
ejpam-5614	256	19	−	−	PROPN
ejpam-5614	256	20	2	2	NUM
ejpam-5614	256	21	rn	rn	PROPN
ejpam-5614	256	22	(	(	PUNCT
ejpam-5614	256	23	p3,k	p3,k	PROPN
ejpam-5614	256	24	)	)	PUNCT
ejpam-5614	256	25	−	−	PROPN
ejpam-5614	256	26	3	3	NUM
ejpam-5614	256	27	rn	rn	PROPN
ejpam-5614	256	28	(	(	PUNCT
ejpam-5614	256	29	p3,k	p3,k	PROPN
ejpam-5614	256	30	)	)	PUNCT
ejpam-5614	256	31	rn	rn	PROPN
ejpam-5614	256	32	(	(	PUNCT
ejpam-5614	256	33	p3,k	p3,k	PROPN
ejpam-5614	256	34	)	)	PUNCT
ejpam-5614	256	35	−	−	PROPN
ejpam-5614	257	1	1	1	NUM
ejpam-5614	257	2	mod	mod	NUM
ejpam-5614	257	3	27	27	NUM
ejpam-5614	257	4	as	as	SCONJ
ejpam-5614	257	5	the	the	DET
ejpam-5614	257	6	determinant	determinant	NOUN
ejpam-5614	257	7	of	of	ADP
ejpam-5614	257	8	a	a	PRON
ejpam-5614	257	9	does	do	AUX
ejpam-5614	257	10	not	not	PART
ejpam-5614	257	11	equals	equal	VERB
ejpam-5614	257	12	0	0	PROPN
ejpam-5614	257	13	.	.	PUNCT
ejpam-5614	258	1	then	then	ADV
ejpam-5614	258	2	a	a	PRON
ejpam-5614	258	3	is	be	AUX
ejpam-5614	258	4	an	an	DET
ejpam-5614	258	5	invertible	invertible	ADJ
ejpam-5614	258	6	matrix	matrix	NOUN
ejpam-5614	258	7	.	.	PUNCT
ejpam-5614	259	1	as	as	ADP
ejpam-5614	259	2	a	a	DET
ejpam-5614	259	3	result	result	NOUN
ejpam-5614	259	4	,	,	PUNCT
ejpam-5614	259	5	the	the	DET
ejpam-5614	259	6	sender	sender	NOUN
ejpam-5614	259	7	may	may	AUX
ejpam-5614	259	8	decide	decide	VERB
ejpam-5614	259	9	to	to	PART
ejpam-5614	259	10	utilize	utilize	VERB
ejpam-5614	259	11	the	the	DET
ejpam-5614	259	12	matrix	matrix	NOUN
ejpam-5614	259	13	a	a	PRON
ejpam-5614	259	14	for	for	ADP
ejpam-5614	259	15	encryption	encryption	NOUN
ejpam-5614	259	16	while	while	SCONJ
ejpam-5614	259	17	the	the	DET
ejpam-5614	259	18	receiver	receiver	NOUN
ejpam-5614	259	19	may	may	AUX
ejpam-5614	259	20	use	use	VERB
ejpam-5614	259	21	the	the	DET
ejpam-5614	259	22	matrix	matrix	NOUN
ejpam-5614	259	23	a−1	a−1	PROPN
ejpam-5614	259	24	for	for	ADP
ejpam-5614	259	25	decryption	decryption	NOUN
ejpam-5614	259	26	,	,	PUNCT
ejpam-5614	259	27	where	where	SCONJ
ejpam-5614	259	28	a−1	a−1	PROPN
ejpam-5614	259	29	=	=	NOUN
ejpam-5614	259	30	1	1	NUM
ejpam-5614	259	31	2	2	NUM
ejpam-5614	259	32			NOUN
ejpam-5614	259	33	rn	rn	PROPN
ejpam-5614	259	34	(	(	PUNCT
ejpam-5614	259	35	p3,k	p3,k	PROPN
ejpam-5614	259	36	)	)	PUNCT
ejpam-5614	259	37	−	−	PROPN
ejpam-5614	259	38	1	1	NUM
ejpam-5614	259	39	3−	3−	NUM
ejpam-5614	259	40	rn	rn	PROPN
ejpam-5614	259	41	(	(	PUNCT
ejpam-5614	259	42	p3,k	p3,k	PROPN
ejpam-5614	259	43	)	)	PUNCT
ejpam-5614	259	44	−rn	−rn	PROPN
ejpam-5614	259	45	(	(	PUNCT
ejpam-5614	259	46	p3,k	p3,k	PROPN
ejpam-5614	259	47	)	)	PUNCT
ejpam-5614	259	48	rn	rn	PROPN
ejpam-5614	259	49	(	(	PUNCT
ejpam-5614	259	50	p3,k	p3,k	PROPN
ejpam-5614	259	51	)	)	PUNCT
ejpam-5614	259	52	−	−	PROPN
ejpam-5614	259	53	2	2	NUM
ejpam-5614	259	54	mod	mod	NUM
ejpam-5614	259	55	27	27	NUM
ejpam-5614	259	56	4.2	4.2	NUM
ejpam-5614	259	57	.	.	PUNCT
ejpam-5614	260	1	cryptography	cryptography	NOUN
ejpam-5614	260	2	algorithms	algorithm	NOUN
ejpam-5614	260	3	hereafter	hereafter	ADV
ejpam-5614	260	4	,	,	PUNCT
ejpam-5614	260	5	the	the	DET
ejpam-5614	260	6	encryption	encryption	NOUN
ejpam-5614	260	7	and	and	CCONJ
ejpam-5614	260	8	decryption	decryption	NOUN
ejpam-5614	260	9	processes	process	NOUN
ejpam-5614	260	10	are	be	AUX
ejpam-5614	260	11	described	describe	VERB
ejpam-5614	260	12	in	in	ADP
ejpam-5614	260	13	details	detail	NOUN
ejpam-5614	260	14	.	.	PUNCT
ejpam-5614	261	1	encryption	encryption	NOUN
ejpam-5614	261	2	algorithm	algorithm	NOUN
ejpam-5614	261	3	input	input	NOUN
ejpam-5614	261	4	:	:	PUNCT
ejpam-5614	261	5	a	a	DET
ejpam-5614	261	6	message	message	NOUN
ejpam-5614	261	7	m	m	NOUN
ejpam-5614	261	8	of	of	ADP
ejpam-5614	261	9	length	length	NOUN
ejpam-5614	261	10	k	k	PROPN
ejpam-5614	261	11	output	output	NOUN
ejpam-5614	261	12	:	:	PUNCT
ejpam-5614	261	13	a	a	DET
ejpam-5614	261	14	cipher	cipher	ADJ
ejpam-5614	261	15	text	text	NOUN
ejpam-5614	261	16	c	c	NOUN
ejpam-5614	261	17	of	of	ADP
ejpam-5614	261	18	the	the	DET
ejpam-5614	261	19	message	message	NOUN
ejpam-5614	261	20	m.	m.	NOUN
ejpam-5614	261	21	begin	begin	VERB
ejpam-5614	261	22	.	.	PUNCT
ejpam-5614	262	1	1.consider	1.consider	NUM
ejpam-5614	262	2	triangular	triangular	NOUN
ejpam-5614	262	3	path	path	NOUN
ejpam-5614	262	4	p3,k	p3,k	PROPN
ejpam-5614	262	5	.	.	PUNCT
ejpam-5614	263	1	2.use	2.use	NOUN
ejpam-5614	263	2	algorithm	algorithm	NOUN
ejpam-5614	263	3	1	1	NUM
ejpam-5614	263	4	to	to	PART
ejpam-5614	263	5	find	find	VERB
ejpam-5614	263	6	the	the	DET
ejpam-5614	263	7	upper	upper	ADJ
ejpam-5614	263	8	bound	bind	VERB
ejpam-5614	263	9	of	of	ADP
ejpam-5614	263	10	radio	radio	NOUN
ejpam-5614	263	11	number	number	NOUN
ejpam-5614	263	12	of	of	ADP
ejpam-5614	263	13	p3,k	p3,k	PROPN
ejpam-5614	263	14	.	.	PROPN
ejpam-5614	263	15	3	3	X
ejpam-5614	263	16	.	.	X
ejpam-5614	264	1	if	if	SCONJ
ejpam-5614	264	2	algorithm	algorithm	NOUN
ejpam-5614	264	3	1	1	NUM
ejpam-5614	264	4	results	result	VERB
ejpam-5614	264	5	the	the	DET
ejpam-5614	264	6	upper	upper	ADJ
ejpam-5614	264	7	bound	bind	VERB
ejpam-5614	264	8	of	of	ADP
ejpam-5614	264	9	radio	radio	NOUN
ejpam-5614	264	10	number	number	NOUN
ejpam-5614	264	11	of	of	ADP
ejpam-5614	264	12	p3,k	p3,k	PROPN
ejpam-5614	264	13	as	as	SCONJ
ejpam-5614	264	14	α	α	PROPN
ejpam-5614	264	15	then	then	ADV
ejpam-5614	264	16	construct	construct	VERB
ejpam-5614	264	17	an	an	DET
ejpam-5614	264	18	2x2	2x2	NUM
ejpam-5614	264	19	matrix	matrix	NOUN
ejpam-5614	265	1	a	a	PRON
ejpam-5614	265	2	=	=	X
ejpam-5614	266	1	[	[	PUNCT
ejpam-5614	266	2	α−	α−	ADP
ejpam-5614	266	3	2	2	NUM
ejpam-5614	266	4	α−	α−	ADP
ejpam-5614	266	5	3	3	NUM
ejpam-5614	266	6	α	α	NOUN
ejpam-5614	266	7	α−	α−	ADP
ejpam-5614	266	8	1	1	NUM
ejpam-5614	266	9	]	]	PUNCT
ejpam-5614	266	10	mod	mod	PROPN
ejpam-5614	266	11	27	27	NUM
ejpam-5614	266	12	.	.	NOUN
ejpam-5614	266	13	4	4	X
ejpam-5614	266	14	.	.	X
ejpam-5614	266	15	convert	convert	VERB
ejpam-5614	266	16	each	each	DET
ejpam-5614	266	17	letter	letter	NOUN
ejpam-5614	266	18	(	(	PUNCT
ejpam-5614	266	19	including	include	VERB
ejpam-5614	266	20	space	space	NOUN
ejpam-5614	266	21	)	)	PUNCT
ejpam-5614	266	22	in	in	ADP
ejpam-5614	266	23	the	the	DET
ejpam-5614	266	24	plaintext	plaintext	NOUN
ejpam-5614	266	25	m	m	VERB
ejpam-5614	266	26	to	to	ADP
ejpam-5614	266	27	its	its	PRON
ejpam-5614	266	28	equivalent	equivalent	ADJ
ejpam-5614	266	29	number	number	NOUN
ejpam-5614	266	30	.	.	PUNCT
ejpam-5614	267	1	5	5	X
ejpam-5614	267	2	.	.	X
ejpam-5614	267	3	make	make	VERB
ejpam-5614	267	4	this	this	DET
ejpam-5614	267	5	string	string	NOUN
ejpam-5614	267	6	of	of	ADP
ejpam-5614	267	7	numbers	number	NOUN
ejpam-5614	267	8	as	as	ADP
ejpam-5614	267	9	a	a	DET
ejpam-5614	267	10	set	set	NOUN
ejpam-5614	267	11	of	of	ADP
ejpam-5614	267	12	ordered	order	VERB
ejpam-5614	267	13	pairs	pair	NOUN
ejpam-5614	267	14	.	.	PUNCT
ejpam-5614	268	1	we	we	PRON
ejpam-5614	268	2	pair	pair	VERB
ejpam-5614	268	3	the	the	DET
ejpam-5614	268	4	last	last	ADJ
ejpam-5614	268	5	number	number	NOUN
ejpam-5614	268	6	of	of	ADP
ejpam-5614	268	7	the	the	DET
ejpam-5614	268	8	string	string	NOUN
ejpam-5614	268	9	with	with	ADP
ejpam-5614	268	10	0	0	NUM
ejpam-5614	268	11	whenever	whenever	SCONJ
ejpam-5614	268	12	,	,	PUNCT
ejpam-5614	268	13	the	the	DET
ejpam-5614	268	14	string	string	NOUN
ejpam-5614	268	15	has	have	VERB
ejpam-5614	268	16	odd	odd	ADJ
ejpam-5614	268	17	length	length	NOUN
ejpam-5614	268	18	.	.	PUNCT
ejpam-5614	269	1	6	6	X
ejpam-5614	269	2	.	.	X
ejpam-5614	270	1	an	an	DET
ejpam-5614	270	2	ordered	order	VERB
ejpam-5614	270	3	(	(	PUNCT
ejpam-5614	270	4	x	x	NOUN
ejpam-5614	270	5	,	,	PUNCT
ejpam-5614	270	6	y	y	NOUN
ejpam-5614	270	7	)	)	PUNCT
ejpam-5614	270	8	is	be	AUX
ejpam-5614	270	9	encrypted	encrypt	VERB
ejpam-5614	270	10	to	to	ADP
ejpam-5614	270	11	[	[	PUNCT
ejpam-5614	270	12	x′	x′	PROPN
ejpam-5614	270	13	y′	y′	NOUN
ejpam-5614	270	14	]	]	PUNCT
ejpam-5614	270	15	=	=	PUNCT
ejpam-5614	270	16	a	a	PRON
ejpam-5614	270	17	[	[	PUNCT
ejpam-5614	270	18	x	x	X
ejpam-5614	270	19	y	y	PROPN
ejpam-5614	270	20	]	]	PUNCT
ejpam-5614	270	21	mod	mod	PROPN
ejpam-5614	270	22	27	27	NUM
ejpam-5614	270	23	.	.	PUNCT
ejpam-5614	271	1	7	7	X
ejpam-5614	271	2	.	.	X
ejpam-5614	271	3	represent	represent	VERB
ejpam-5614	271	4	numbers	number	NOUN
ejpam-5614	271	5	in	in	ADP
ejpam-5614	271	6	each	each	DET
ejpam-5614	271	7	encrypted	encrypt	VERB
ejpam-5614	271	8	[	[	PUNCT
ejpam-5614	271	9	x′	x′	PROPN
ejpam-5614	271	10	y′	y′	NOUN
ejpam-5614	271	11	]	]	PUNCT
ejpam-5614	271	12	by	by	ADP
ejpam-5614	271	13	space	space	NOUN
ejpam-5614	271	14	or	or	CCONJ
ejpam-5614	271	15	its	its	PRON
ejpam-5614	271	16	equivalent	equivalent	ADJ
ejpam-5614	271	17	character	character	NOUN
ejpam-5614	271	18	in	in	ADP
ejpam-5614	271	19	the	the	DET
ejpam-5614	271	20	english	english	PROPN
ejpam-5614	271	21	alphabet	alphabet	PROPN
ejpam-5614	271	22	.	.	PUNCT
ejpam-5614	272	1	8	8	X
ejpam-5614	272	2	.	.	X
ejpam-5614	272	3	form	form	VERB
ejpam-5614	272	4	the	the	DET
ejpam-5614	272	5	cipher	cipher	ADJ
ejpam-5614	272	6	text	text	NOUN
ejpam-5614	272	7	c	c	NOUN
ejpam-5614	272	8	by	by	ADP
ejpam-5614	272	9	appending	append	VERB
ejpam-5614	272	10	0	0	NUM
ejpam-5614	272	11	or	or	CCONJ
ejpam-5614	272	12	1	1	NUM
ejpam-5614	272	13	at	at	ADP
ejpam-5614	272	14	the	the	DET
ejpam-5614	272	15	end	end	NOUN
ejpam-5614	272	16	of	of	ADP
ejpam-5614	272	17	the	the	DET
ejpam-5614	272	18	sequence	sequence	NOUN
ejpam-5614	272	19	of	of	ADP
ejpam-5614	272	20	characters	character	NOUN
ejpam-5614	272	21	produced	produce	VERB
ejpam-5614	272	22	in	in	ADP
ejpam-5614	272	23	step	step	NOUN
ejpam-5614	272	24	7	7	NUM
ejpam-5614	272	25	.	.	PUNCT
ejpam-5614	272	26	appending	append	VERB
ejpam-5614	272	27	0	0	NUM
ejpam-5614	272	28	indicates	indicate	VERB
ejpam-5614	272	29	that	that	SCONJ
ejpam-5614	272	30	the	the	DET
ejpam-5614	272	31	message	message	NOUN
ejpam-5614	272	32	m	m	VERB
ejpam-5614	272	33	is	be	AUX
ejpam-5614	272	34	of	of	ADP
ejpam-5614	272	35	length	length	NOUN
ejpam-5614	272	36	,	,	PUNCT
ejpam-5614	272	37	even	even	ADV
ejpam-5614	272	38	and	and	CCONJ
ejpam-5614	272	39	1	1	NUM
ejpam-5614	272	40	indicates	indicate	VERB
ejpam-5614	272	41	that	that	SCONJ
ejpam-5614	272	42	the	the	DET
ejpam-5614	272	43	message	message	NOUN
ejpam-5614	272	44	m	m	VERB
ejpam-5614	272	45	has	have	VERB
ejpam-5614	272	46	length	length	NOUN
ejpam-5614	272	47	is	be	AUX
ejpam-5614	272	48	of	of	ADP
ejpam-5614	272	49	length	length	NOUN
ejpam-5614	272	50	,	,	PUNCT
ejpam-5614	272	51	odd	odd	ADJ
ejpam-5614	273	1	.	.	PUNCT
ejpam-5614	273	2	end	end	PROPN
ejpam-5614	273	3	n.	n.	PROPN
ejpam-5614	273	4	m.	m.	PROPN
ejpam-5614	273	5	noureldeen	noureldeen	NOUN
ejpam-5614	273	6	et	et	PROPN
ejpam-5614	273	7	al	al	PROPN
ejpam-5614	273	8	.	.	PUNCT
ejpam-5614	273	9	/	/	SYM
ejpam-5614	273	10	eur	eur	PROPN
ejpam-5614	273	11	.	.	PUNCT
ejpam-5614	274	1	j.	j.	PROPN
ejpam-5614	274	2	pure	pure	PROPN
ejpam-5614	274	3	appl	appl	PROPN
ejpam-5614	274	4	.	.	PROPN
ejpam-5614	274	5	math	math	PROPN
ejpam-5614	274	6	,	,	PUNCT
ejpam-5614	274	7	18	18	NUM
ejpam-5614	274	8	(	(	PUNCT
ejpam-5614	274	9	1	1	NUM
ejpam-5614	274	10	)	)	PUNCT
ejpam-5614	274	11	(	(	PUNCT
ejpam-5614	274	12	2025	2025	NUM
ejpam-5614	274	13	)	)	PUNCT
ejpam-5614	274	14	,	,	PUNCT
ejpam-5614	274	15	5614	5614	NUM
ejpam-5614	274	16	14	14	NUM
ejpam-5614	274	17	of	of	ADP
ejpam-5614	274	18	18	18	NUM
ejpam-5614	274	19	decryption	decryption	NOUN
ejpam-5614	274	20	algorithm	algorithm	NOUN
ejpam-5614	274	21	.	.	PUNCT
ejpam-5614	275	1	input	input	NOUN
ejpam-5614	275	2	:	:	PUNCT
ejpam-5614	276	1	a	a	DET
ejpam-5614	276	2	cipher	cipher	ADJ
ejpam-5614	276	3	text	text	NOUN
ejpam-5614	276	4	c	c	NOUN
ejpam-5614	276	5	of	of	ADP
ejpam-5614	276	6	length	length	NOUN
ejpam-5614	276	7	w	w	PROPN
ejpam-5614	276	8	output	output	NOUN
ejpam-5614	276	9	:	:	PUNCT
ejpam-5614	276	10	a	a	DET
ejpam-5614	276	11	plaintext	plaintext	NOUN
ejpam-5614	276	12	(	(	PUNCT
ejpam-5614	276	13	original	original	ADJ
ejpam-5614	276	14	message	message	NOUN
ejpam-5614	276	15	)	)	PUNCT
ejpam-5614	276	16	m	m	PROPN
ejpam-5614	276	17	of	of	ADP
ejpam-5614	276	18	c.	c.	PROPN
ejpam-5614	276	19	begin	begin	VERB
ejpam-5614	276	20	1	1	NUM
ejpam-5614	276	21	.	.	PUNCT
ejpam-5614	277	1	if	if	SCONJ
ejpam-5614	277	2	0	0	NUM
ejpam-5614	277	3	is	be	AUX
ejpam-5614	277	4	found	find	VERB
ejpam-5614	277	5	at	at	ADP
ejpam-5614	277	6	the	the	DET
ejpam-5614	277	7	end	end	NOUN
ejpam-5614	277	8	of	of	ADP
ejpam-5614	277	9	c	c	NOUN
ejpam-5614	277	10	,	,	PUNCT
ejpam-5614	277	11	obtain	obtain	VERB
ejpam-5614	277	12	the	the	DET
ejpam-5614	277	13	upper	upper	ADJ
ejpam-5614	277	14	bound	bind	VERB
ejpam-5614	277	15	of	of	ADP
ejpam-5614	277	16	radio	radio	NOUN
ejpam-5614	277	17	number	number	NOUN
ejpam-5614	277	18	α	α	NOUN
ejpam-5614	277	19	of	of	ADP
ejpam-5614	277	20	triangular	triangular	NOUN
ejpam-5614	277	21	path	path	NOUN
ejpam-5614	277	22	p3,w	p3,w	PROPN
ejpam-5614	277	23	.	.	PUNCT
ejpam-5614	278	1	using	use	VERB
ejpam-5614	278	2	algorithm	algorithm	NOUN
ejpam-5614	278	3	1	1	NUM
ejpam-5614	278	4	.	.	PUNCT
ejpam-5614	279	1	if	if	SCONJ
ejpam-5614	279	2	1	1	NUM
ejpam-5614	279	3	is	be	AUX
ejpam-5614	279	4	found	find	VERB
ejpam-5614	279	5	at	at	ADP
ejpam-5614	279	6	the	the	DET
ejpam-5614	279	7	end	end	NOUN
ejpam-5614	279	8	of	of	ADP
ejpam-5614	279	9	c	c	NOUN
ejpam-5614	279	10	,	,	PUNCT
ejpam-5614	279	11	use	use	VERB
ejpam-5614	279	12	algorithm	algorithm	NOUN
ejpam-5614	279	13	1	1	NUM
ejpam-5614	279	14	to	to	PART
ejpam-5614	279	15	obtain	obtain	VERB
ejpam-5614	279	16	the	the	DET
ejpam-5614	279	17	upper	upper	ADJ
ejpam-5614	279	18	bound	bind	VERB
ejpam-5614	279	19	of	of	ADP
ejpam-5614	279	20	radio	radio	NOUN
ejpam-5614	279	21	number	number	NOUN
ejpam-5614	279	22	,	,	PUNCT
ejpam-5614	279	23	α	α	NOUN
ejpam-5614	279	24	of	of	ADP
ejpam-5614	279	25	triangular	triangular	NOUN
ejpam-5614	279	26	path	path	NOUN
ejpam-5614	279	27	p3,w−1	p3,w−1	NOUN
ejpam-5614	279	28	.	.	PUNCT
ejpam-5614	280	1	2	2	X
ejpam-5614	280	2	.	.	X
ejpam-5614	280	3	build	build	VERB
ejpam-5614	280	4	the	the	DET
ejpam-5614	280	5	key	key	ADJ
ejpam-5614	280	6	matrix	matrix	NOUN
ejpam-5614	280	7	for	for	ADP
ejpam-5614	280	8	decryption	decryption	NOUN
ejpam-5614	280	9	that	that	PRON
ejpam-5614	280	10	is	be	AUX
ejpam-5614	280	11	b	b	NOUN
ejpam-5614	280	12	=	=	SYM
ejpam-5614	280	13	1	1	NUM
ejpam-5614	280	14	2	2	NUM
ejpam-5614	280	15	[	[	PUNCT
ejpam-5614	280	16	α−	α−	ADP
ejpam-5614	280	17	1	1	NUM
ejpam-5614	280	18	3−	3−	NUM
ejpam-5614	280	19	α	α	NOUN
ejpam-5614	280	20	−α	−α	NOUN
ejpam-5614	280	21	α−	α−	ADP
ejpam-5614	280	22	2	2	NUM
ejpam-5614	280	23	]	]	PUNCT
ejpam-5614	280	24	mod	mod	PROPN
ejpam-5614	280	25	27	27	NUM
ejpam-5614	280	26	.	.	X
ejpam-5614	281	1	3	3	X
ejpam-5614	281	2	.	.	X
ejpam-5614	281	3	convert	convert	VERB
ejpam-5614	281	4	the	the	DET
ejpam-5614	281	5	characters	character	NOUN
ejpam-5614	281	6	and	and	CCONJ
ejpam-5614	281	7	spaces	space	NOUN
ejpam-5614	281	8	in	in	ADP
ejpam-5614	281	9	c	c	PROPN
ejpam-5614	281	10	to	to	PART
ejpam-5614	281	11	ordered	order	VERB
ejpam-5614	281	12	pairs	pair	NOUN
ejpam-5614	281	13	of	of	ADP
ejpam-5614	281	14	their	their	PRON
ejpam-5614	281	15	equivalent	equivalent	ADJ
ejpam-5614	281	16	numerical	numerical	ADJ
ejpam-5614	281	17	values	value	NOUN
ejpam-5614	281	18	4	4	NUM
ejpam-5614	281	19	.	.	PUNCT
ejpam-5614	282	1	each	each	DET
ejpam-5614	282	2	ordered	order	VERB
ejpam-5614	282	3	pair	pair	NOUN
ejpam-5614	282	4	(	(	PUNCT
ejpam-5614	282	5	x′	x′	NUM
ejpam-5614	282	6	,	,	PUNCT
ejpam-5614	282	7	y′	y′	NUM
ejpam-5614	282	8	)	)	PUNCT
ejpam-5614	282	9	is	be	AUX
ejpam-5614	282	10	decrypted	decrypt	VERB
ejpam-5614	282	11	to	to	ADP
ejpam-5614	282	12	[	[	PUNCT
ejpam-5614	282	13	x	x	SYM
ejpam-5614	282	14	y	y	NOUN
ejpam-5614	282	15	]	]	PUNCT
ejpam-5614	282	16	=	=	PUNCT
ejpam-5614	282	17	b	b	X
ejpam-5614	282	18	[	[	PUNCT
ejpam-5614	282	19	x′	x′	PROPN
ejpam-5614	282	20	y′	y′	NOUN
ejpam-5614	282	21	]	]	PUNCT
ejpam-5614	282	22	mod	mod	PROPN
ejpam-5614	283	1	27	27	NUM
ejpam-5614	283	2	.	.	NOUN
ejpam-5614	284	1	5	5	NUM
ejpam-5614	284	2	.	.	X
ejpam-5614	284	3	represent	represent	VERB
ejpam-5614	284	4	numbers	number	NOUN
ejpam-5614	284	5	in	in	ADP
ejpam-5614	284	6	each	each	DET
ejpam-5614	284	7	matrix	matrix	NOUN
ejpam-5614	284	8	[	[	PUNCT
ejpam-5614	284	9	x	x	X
ejpam-5614	284	10	y	y	PROPN
ejpam-5614	284	11	]	]	PUNCT
ejpam-5614	284	12	by	by	ADP
ejpam-5614	284	13	space	space	NOUN
ejpam-5614	284	14	or	or	CCONJ
ejpam-5614	284	15	its	its	PRON
ejpam-5614	284	16	equivalent	equivalent	ADJ
ejpam-5614	284	17	character	character	NOUN
ejpam-5614	284	18	of	of	ADP
ejpam-5614	284	19	x	x	PROPN
ejpam-5614	284	20	and	and	CCONJ
ejpam-5614	284	21	y	y	PROPN
ejpam-5614	284	22	in	in	ADP
ejpam-5614	284	23	the	the	DET
ejpam-5614	284	24	english	english	ADJ
ejpam-5614	284	25	alphabet	alphabet	NOUN
ejpam-5614	284	26	to	to	PART
ejpam-5614	284	27	deduce	deduce	VERB
ejpam-5614	284	28	the	the	DET
ejpam-5614	284	29	plaintext	plaintext	NOUN
ejpam-5614	284	30	m	m	NOUN
ejpam-5614	284	31	of	of	ADP
ejpam-5614	284	32	the	the	DET
ejpam-5614	284	33	received	receive	VERB
ejpam-5614	284	34	ciphertext	ciphertext	PROPN
ejpam-5614	284	35	c.	c.	NOUN
ejpam-5614	284	36	end	end	VERB
ejpam-5614	284	37	for	for	ADP
ejpam-5614	284	38	more	more	ADJ
ejpam-5614	284	39	illustration	illustration	NOUN
ejpam-5614	284	40	of	of	ADP
ejpam-5614	284	41	the	the	DET
ejpam-5614	284	42	cryptography	cryptography	NOUN
ejpam-5614	284	43	approach	approach	NOUN
ejpam-5614	284	44	,	,	PUNCT
ejpam-5614	284	45	we	we	PRON
ejpam-5614	284	46	pose	pose	VERB
ejpam-5614	284	47	the	the	DET
ejpam-5614	284	48	following	following	ADJ
ejpam-5614	284	49	example	example	NOUN
ejpam-5614	284	50	.	.	PUNCT
ejpam-5614	285	1	example	example	NOUN
ejpam-5614	286	1	1	1	NUM
ejpam-5614	286	2	.	.	PUNCT
ejpam-5614	287	1	let	let	VERB
ejpam-5614	287	2	the	the	DET
ejpam-5614	287	3	sender	sender	NOUN
ejpam-5614	287	4	wants	want	VERB
ejpam-5614	287	5	to	to	PART
ejpam-5614	287	6	send	send	VERB
ejpam-5614	287	7	the	the	DET
ejpam-5614	287	8	message	message	NOUN
ejpam-5614	287	9	“	"	PUNCT
ejpam-5614	287	10	par	par	NOUN
ejpam-5614	287	11	’	'	PUNCT
ejpam-5614	287	12	’	'	PUNCT
ejpam-5614	287	13	to	to	ADP
ejpam-5614	287	14	the	the	DET
ejpam-5614	287	15	receiver	receiver	NOUN
ejpam-5614	287	16	then	then	ADV
ejpam-5614	287	17	encryption	encryption	NOUN
ejpam-5614	287	18	process	process	NOUN
ejpam-5614	287	19	is	be	AUX
ejpam-5614	287	20	done	do	VERB
ejpam-5614	287	21	as	as	ADP
ejpam-5614	287	22	follow	follow	NOUN
ejpam-5614	287	23	1	1	NUM
ejpam-5614	287	24	.	.	PUNCT
ejpam-5614	288	1	since	since	SCONJ
ejpam-5614	288	2	the	the	DET
ejpam-5614	288	3	length	length	NOUN
ejpam-5614	288	4	of	of	ADP
ejpam-5614	288	5	the	the	DET
ejpam-5614	288	6	original	original	ADJ
ejpam-5614	288	7	message	message	NOUN
ejpam-5614	288	8	is	be	AUX
ejpam-5614	288	9	3	3	NUM
ejpam-5614	288	10	,	,	PUNCT
ejpam-5614	288	11	we	we	PRON
ejpam-5614	288	12	use	use	VERB
ejpam-5614	288	13	algorithm	algorithm	NOUN
ejpam-5614	288	14	1	1	NUM
ejpam-5614	288	15	to	to	PART
ejpam-5614	288	16	get	get	VERB
ejpam-5614	288	17	the	the	DET
ejpam-5614	288	18	upper	upper	ADJ
ejpam-5614	288	19	bound	bind	VERB
ejpam-5614	288	20	of	of	ADP
ejpam-5614	288	21	radio	radio	NOUN
ejpam-5614	288	22	number	number	NOUN
ejpam-5614	288	23	of	of	ADP
ejpam-5614	288	24	p3,3	p3,3	PROPN
ejpam-5614	288	25	.	.	PUNCT
ejpam-5614	289	1	2	2	X
ejpam-5614	289	2	.	.	X
ejpam-5614	289	3	following	follow	VERB
ejpam-5614	289	4	table	table	NOUN
ejpam-5614	289	5	-8	-8	NOUN
ejpam-5614	289	6	,	,	PUNCT
ejpam-5614	289	7	k=3	k=3	X
ejpam-5614	289	8	,	,	PUNCT
ejpam-5614	289	9	ub3	ub3	PROPN
ejpam-5614	289	10	,	,	PUNCT
ejpam-5614	289	11	the	the	DET
ejpam-5614	289	12	upper	upper	ADJ
ejpam-5614	289	13	bound	bind	VERB
ejpam-5614	289	14	of	of	ADP
ejpam-5614	289	15	radio	radio	NOUN
ejpam-5614	289	16	number	number	NOUN
ejpam-5614	289	17	of	of	ADP
ejpam-5614	289	18	p3,3	p3,3	PROPN
ejpam-5614	289	19	is	be	AUX
ejpam-5614	289	20	17	17	NUM
ejpam-5614	289	21	.	.	PUNCT
ejpam-5614	290	1	hence	hence	ADV
ejpam-5614	290	2	,	,	PUNCT
ejpam-5614	290	3	construct	construct	VERB
ejpam-5614	290	4	an	an	DET
ejpam-5614	290	5	2x2	2x2	NUM
ejpam-5614	290	6	matrix	matrix	NOUN
ejpam-5614	290	7	a	a	PRON
ejpam-5614	290	8	=	=	X
ejpam-5614	290	9	[	[	PUNCT
ejpam-5614	290	10	15	15	NUM
ejpam-5614	290	11	14	14	NUM
ejpam-5614	290	12	17	17	NUM
ejpam-5614	290	13	16	16	NUM
ejpam-5614	290	14	]	]	PUNCT
ejpam-5614	290	15	.	.	PUNCT
ejpam-5614	291	1	3	3	X
ejpam-5614	291	2	.	.	X
ejpam-5614	291	3	represent	represent	VERB
ejpam-5614	291	4	each	each	DET
ejpam-5614	291	5	character	character	NOUN
ejpam-5614	291	6	(	(	PUNCT
ejpam-5614	291	7	including	include	VERB
ejpam-5614	291	8	space	space	NOUN
ejpam-5614	291	9	)	)	PUNCT
ejpam-5614	291	10	in	in	ADP
ejpam-5614	291	11	the	the	DET
ejpam-5614	291	12	plaintext	plaintext	NOUN
ejpam-5614	291	13	m	m	NOUN
ejpam-5614	291	14	by	by	ADP
ejpam-5614	291	15	its	its	PRON
ejpam-5614	291	16	numerical	numerical	ADJ
ejpam-5614	291	17	equivalent	equivalent	NOUN
ejpam-5614	291	18	.	.	PUNCT
ejpam-5614	292	1	that	that	PRON
ejpam-5614	292	2	is	be	AUX
ejpam-5614	292	3	16	16	NUM
ejpam-5614	292	4	,	,	PUNCT
ejpam-5614	292	5	1	1	NUM
ejpam-5614	292	6	,	,	PUNCT
ejpam-5614	292	7	18	18	NUM
ejpam-5614	292	8	.	.	NOUN
ejpam-5614	292	9	4	4	NUM
ejpam-5614	292	10	.	.	X
ejpam-5614	292	11	convert	convert	VERB
ejpam-5614	292	12	this	this	DET
ejpam-5614	292	13	string	string	NOUN
ejpam-5614	292	14	of	of	ADP
ejpam-5614	292	15	numbers	number	NOUN
ejpam-5614	292	16	to	to	ADP
ejpam-5614	292	17	a	a	DET
ejpam-5614	292	18	set	set	NOUN
ejpam-5614	292	19	of	of	ADP
ejpam-5614	292	20	ordered	order	VERB
ejpam-5614	292	21	pairs	pair	NOUN
ejpam-5614	292	22	as	as	ADP
ejpam-5614	292	23	(	(	PUNCT
ejpam-5614	292	24	16,1	16,1	NUM
ejpam-5614	292	25	)	)	PUNCT
ejpam-5614	292	26	,	,	PUNCT
ejpam-5614	292	27	(	(	PUNCT
ejpam-5614	292	28	18,0	18,0	NUM
ejpam-5614	292	29	)	)	PUNCT
ejpam-5614	292	30	.	.	PUNCT
ejpam-5614	293	1	5	5	X
ejpam-5614	293	2	.	.	X
ejpam-5614	293	3	(	(	PUNCT
ejpam-5614	293	4	16	16	NUM
ejpam-5614	293	5	,	,	PUNCT
ejpam-5614	293	6	1	1	NUM
ejpam-5614	293	7	)	)	PUNCT
ejpam-5614	293	8	,	,	PUNCT
ejpam-5614	293	9	is	be	AUX
ejpam-5614	293	10	encrypted	encrypt	VERB
ejpam-5614	293	11	as	as	ADP
ejpam-5614	293	12	[	[	PUNCT
ejpam-5614	293	13	x′	x′	PROPN
ejpam-5614	293	14	y′	y′	NOUN
ejpam-5614	293	15	]	]	PUNCT
ejpam-5614	294	1	=	=	PUNCT
ejpam-5614	294	2	[	[	PUNCT
ejpam-5614	294	3	15	15	NUM
ejpam-5614	294	4	14	14	NUM
ejpam-5614	294	5	17	17	NUM
ejpam-5614	294	6	16	16	NUM
ejpam-5614	294	7	]	]	PUNCT
ejpam-5614	294	8	[	[	PUNCT
ejpam-5614	294	9	16	16	NUM
ejpam-5614	294	10	1	1	NUM
ejpam-5614	294	11	]	]	PUNCT
ejpam-5614	294	12	mod	mod	PROPN
ejpam-5614	294	13	27	27	NUM
ejpam-5614	294	14	.	.	PUNCT
ejpam-5614	295	1	=	=	PUNCT
ejpam-5614	295	2	[	[	PUNCT
ejpam-5614	295	3	11	11	NUM
ejpam-5614	295	4	18	18	NUM
ejpam-5614	295	5	]	]	PUNCT
ejpam-5614	295	6	and	and	CCONJ
ejpam-5614	295	7	the	the	DET
ejpam-5614	295	8	ordered	order	VERB
ejpam-5614	295	9	pair	pair	NOUN
ejpam-5614	295	10	(	(	PUNCT
ejpam-5614	295	11	18,0	18,0	NUM
ejpam-5614	295	12	)	)	PUNCT
ejpam-5614	295	13	will	will	AUX
ejpam-5614	295	14	be	be	AUX
ejpam-5614	295	15	[	[	PUNCT
ejpam-5614	295	16	15	15	NUM
ejpam-5614	295	17	14	14	NUM
ejpam-5614	295	18	17	17	NUM
ejpam-5614	295	19	16	16	NUM
ejpam-5614	295	20	]	]	PUNCT
ejpam-5614	295	21	[	[	PUNCT
ejpam-5614	295	22	18	18	NUM
ejpam-5614	295	23	0	0	NUM
ejpam-5614	295	24	]	]	PUNCT
ejpam-5614	295	25	mod	mod	PROPN
ejpam-5614	295	26	27	27	NUM
ejpam-5614	295	27	.	.	PUNCT
ejpam-5614	296	1	=	=	PUNCT
ejpam-5614	297	1	[	[	PUNCT
ejpam-5614	297	2	0	0	NUM
ejpam-5614	297	3	9	9	NUM
ejpam-5614	297	4	]	]	SYM
ejpam-5614	297	5	6	6	NUM
ejpam-5614	297	6	.	.	PUNCT
ejpam-5614	297	7	finally	finally	ADV
ejpam-5614	297	8	,	,	PUNCT
ejpam-5614	297	9	convert	convert	VERB
ejpam-5614	297	10	these	these	DET
ejpam-5614	297	11	ordered	order	VERB
ejpam-5614	297	12	pairs	pair	NOUN
ejpam-5614	297	13	to	to	ADP
ejpam-5614	297	14	equivalent	equivalent	ADJ
ejpam-5614	297	15	english	english	ADJ
ejpam-5614	297	16	letter	letter	NOUN
ejpam-5614	297	17	that	that	PRON
ejpam-5614	297	18	is	be	AUX
ejpam-5614	297	19	11≡	11≡	ADJ
ejpam-5614	297	20	k	k	X
ejpam-5614	297	21	,	,	PUNCT
ejpam-5614	297	22	18	18	NUM
ejpam-5614	297	23	≡	≡	PROPN
ejpam-5614	297	24	r	r	NOUN
ejpam-5614	297	25	,	,	PUNCT
ejpam-5614	297	26	0	0	NUM
ejpam-5614	297	27	≡	≡	PROPN
ejpam-5614	297	28	space	space	NOUN
ejpam-5614	297	29	,	,	PUNCT
ejpam-5614	297	30	9	9	NUM
ejpam-5614	297	31	≡	≡	PROPN
ejpam-5614	297	32	i.	i.	NOUN
ejpam-5614	297	33	7	7	NUM
ejpam-5614	297	34	.	.	PUNCT
ejpam-5614	298	1	finally	finally	ADV
ejpam-5614	298	2	,	,	PUNCT
ejpam-5614	298	3	the	the	DET
ejpam-5614	298	4	cipher	cipher	ADJ
ejpam-5614	298	5	text	text	NOUN
ejpam-5614	298	6	c	c	NOUN
ejpam-5614	299	1	=	=	SYM
ejpam-5614	299	2	kr	kr	X
ejpam-5614	299	3	▽	▽	X
ejpam-5614	299	4	i	i	PROPN
ejpam-5614	299	5	1	1	NUM
ejpam-5614	299	6	.	.	PUNCT
ejpam-5614	300	1	here	here	ADV
ejpam-5614	300	2	,	,	PUNCT
ejpam-5614	300	3	we	we	PRON
ejpam-5614	300	4	append	append	VERB
ejpam-5614	300	5	1	1	NUM
ejpam-5614	300	6	at	at	ADP
ejpam-5614	300	7	the	the	DET
ejpam-5614	300	8	end	end	NOUN
ejpam-5614	300	9	of	of	ADP
ejpam-5614	300	10	the	the	DET
ejpam-5614	300	11	sequence	sequence	NOUN
ejpam-5614	300	12	of	of	ADP
ejpam-5614	300	13	characters	character	NOUN
ejpam-5614	300	14	produced	produce	VERB
ejpam-5614	300	15	in	in	ADP
ejpam-5614	300	16	step	step	NOUN
ejpam-5614	300	17	6	6	NUM
ejpam-5614	300	18	to	to	PART
ejpam-5614	300	19	inform	inform	VERB
ejpam-5614	300	20	the	the	DET
ejpam-5614	300	21	receiver	receiver	NOUN
ejpam-5614	300	22	that	that	PRON
ejpam-5614	300	23	the	the	DET
ejpam-5614	300	24	original	original	ADJ
ejpam-5614	300	25	message	message	NOUN
ejpam-5614	300	26	has	have	VERB
ejpam-5614	300	27	an	an	DET
ejpam-5614	300	28	odd	odd	ADJ
ejpam-5614	300	29	length	length	NOUN
ejpam-5614	300	30	.	.	PUNCT
ejpam-5614	301	1	on	on	ADP
ejpam-5614	301	2	the	the	DET
ejpam-5614	301	3	other	other	ADJ
ejpam-5614	301	4	hand	hand	NOUN
ejpam-5614	301	5	,	,	PUNCT
ejpam-5614	301	6	we	we	PRON
ejpam-5614	301	7	use	use	VERB
ejpam-5614	301	8	the	the	DET
ejpam-5614	301	9	symbol	symbol	NOUN
ejpam-5614	301	10	▽	▽	PUNCT
ejpam-5614	301	11	as	as	ADP
ejpam-5614	301	12	indication	indication	NOUN
ejpam-5614	301	13	for	for	ADP
ejpam-5614	301	14	the	the	DET
ejpam-5614	301	15	space	space	NOUN
ejpam-5614	301	16	.	.	PUNCT
ejpam-5614	302	1	n.	n.	PROPN
ejpam-5614	302	2	m.	m.	PROPN
ejpam-5614	302	3	noureldeen	noureldeen	INTJ
ejpam-5614	302	4	et	et	PROPN
ejpam-5614	302	5	al	al	PROPN
ejpam-5614	302	6	.	.	PUNCT
ejpam-5614	302	7	/	/	SYM
ejpam-5614	302	8	eur	eur	PROPN
ejpam-5614	302	9	.	.	PUNCT
ejpam-5614	303	1	j.	j.	PROPN
ejpam-5614	303	2	pure	pure	PROPN
ejpam-5614	303	3	appl	appl	PROPN
ejpam-5614	303	4	.	.	PROPN
ejpam-5614	303	5	math	math	PROPN
ejpam-5614	303	6	,	,	PUNCT
ejpam-5614	303	7	18	18	NUM
ejpam-5614	303	8	(	(	PUNCT
ejpam-5614	303	9	1	1	NUM
ejpam-5614	303	10	)	)	PUNCT
ejpam-5614	303	11	(	(	PUNCT
ejpam-5614	303	12	2025	2025	NUM
ejpam-5614	303	13	)	)	PUNCT
ejpam-5614	303	14	,	,	PUNCT
ejpam-5614	303	15	5614	5614	NUM
ejpam-5614	303	16	15	15	NUM
ejpam-5614	303	17	of	of	ADP
ejpam-5614	303	18	18	18	NUM
ejpam-5614	303	19	at	at	ADP
ejpam-5614	303	20	the	the	DET
ejpam-5614	303	21	receiver	receiver	NOUN
ejpam-5614	303	22	,	,	PUNCT
ejpam-5614	303	23	the	the	DET
ejpam-5614	303	24	decryption	decryption	NOUN
ejpam-5614	303	25	process	process	NOUN
ejpam-5614	303	26	performed	perform	VERB
ejpam-5614	303	27	as	as	SCONJ
ejpam-5614	303	28	follows	follow	VERB
ejpam-5614	303	29	as	as	SCONJ
ejpam-5614	303	30	the	the	DET
ejpam-5614	303	31	received	receive	VERB
ejpam-5614	303	32	message	message	NOUN
ejpam-5614	303	33	is	be	AUX
ejpam-5614	303	34	of	of	ADP
ejpam-5614	303	35	length	length	NOUN
ejpam-5614	303	36	w	w	PROPN
ejpam-5614	303	37	=	=	NOUN
ejpam-5614	303	38	4	4	NUM
ejpam-5614	303	39	and	and	CCONJ
ejpam-5614	303	40	has	have	VERB
ejpam-5614	303	41	number	number	NOUN
ejpam-5614	303	42	1	1	NUM
ejpam-5614	303	43	at	at	ADP
ejpam-5614	303	44	the	the	DET
ejpam-5614	303	45	end	end	NOUN
ejpam-5614	303	46	,	,	PUNCT
ejpam-5614	303	47	then	then	ADV
ejpam-5614	303	48	the	the	DET
ejpam-5614	303	49	decryption	decryption	NOUN
ejpam-5614	303	50	process	process	NOUN
ejpam-5614	303	51	use	use	VERB
ejpam-5614	303	52	the	the	DET
ejpam-5614	303	53	upper	upper	ADJ
ejpam-5614	303	54	bound	bind	VERB
ejpam-5614	303	55	of	of	ADP
ejpam-5614	303	56	radio	radio	NOUN
ejpam-5614	303	57	number	number	NOUN
ejpam-5614	303	58	of	of	ADP
ejpam-5614	303	59	p3,w−1	p3,w−1	NOUN
ejpam-5614	303	60	=	=	PUNCT
ejpam-5614	303	61	p3,3	p3,3	PROPN
ejpam-5614	303	62	that	that	PRON
ejpam-5614	303	63	is	be	AUX
ejpam-5614	303	64	17	17	NUM
ejpam-5614	303	65	following	follow	VERB
ejpam-5614	303	66	table-8	table-8	NUM
ejpam-5614	303	67	,	,	PUNCT
ejpam-5614	303	68	k=3	k=3	X
ejpam-5614	303	69	,	,	PUNCT
ejpam-5614	303	70	ub3	ub3	PROPN
ejpam-5614	303	71	.	.	PUNCT
ejpam-5614	304	1	build	build	VERB
ejpam-5614	304	2	the	the	DET
ejpam-5614	304	3	key	key	ADJ
ejpam-5614	304	4	matrix	matrix	NOUN
ejpam-5614	304	5	for	for	ADP
ejpam-5614	304	6	decryption	decryption	NOUN
ejpam-5614	304	7	b	b	NOUN
ejpam-5614	304	8	=	=	SYM
ejpam-5614	304	9	1	1	NUM
ejpam-5614	304	10	2	2	NUM
ejpam-5614	304	11	[	[	PUNCT
ejpam-5614	304	12	16	16	NUM
ejpam-5614	304	13	−14	−14	NUM
ejpam-5614	304	14	−17	−17	NOUN
ejpam-5614	304	15	15	15	NUM
ejpam-5614	304	16	]	]	PUNCT
ejpam-5614	304	17	mod	mod	PROPN
ejpam-5614	304	18	27	27	NUM
ejpam-5614	304	19	=	=	SYM
ejpam-5614	304	20	[	[	PUNCT
ejpam-5614	304	21	8	8	NUM
ejpam-5614	304	22	20	20	NUM
ejpam-5614	304	23	5	5	NUM
ejpam-5614	304	24	21	21	NUM
ejpam-5614	304	25	]	]	PUNCT
ejpam-5614	304	26	.	.	PUNCT
ejpam-5614	305	1	converting	convert	VERB
ejpam-5614	305	2	the	the	DET
ejpam-5614	305	3	characters	character	NOUN
ejpam-5614	305	4	and	and	CCONJ
ejpam-5614	305	5	spaces	space	NOUN
ejpam-5614	305	6	in	in	ADP
ejpam-5614	305	7	c	c	PROPN
ejpam-5614	305	8	to	to	ADP
ejpam-5614	305	9	their	their	PRON
ejpam-5614	305	10	equivalent	equivalent	ADJ
ejpam-5614	305	11	numerical	numerical	ADJ
ejpam-5614	305	12	values	value	NOUN
ejpam-5614	305	13	and	and	CCONJ
ejpam-5614	305	14	making	make	VERB
ejpam-5614	305	15	ordered	order	VERB
ejpam-5614	305	16	pairs	pair	NOUN
ejpam-5614	305	17	yields	yield	NOUN
ejpam-5614	305	18	ordered	order	VERB
ejpam-5614	305	19	pairs	pair	NOUN
ejpam-5614	305	20	(	(	PUNCT
ejpam-5614	305	21	11	11	NUM
ejpam-5614	305	22	,	,	PUNCT
ejpam-5614	305	23	18	18	NUM
ejpam-5614	305	24	)	)	PUNCT
ejpam-5614	305	25	and	and	CCONJ
ejpam-5614	305	26	(	(	PUNCT
ejpam-5614	305	27	0	0	NUM
ejpam-5614	305	28	,	,	PUNCT
ejpam-5614	305	29	9	9	NUM
ejpam-5614	305	30	)	)	PUNCT
ejpam-5614	305	31	.	.	PUNCT
ejpam-5614	306	1	doing	do	VERB
ejpam-5614	306	2	a	a	DET
ejpam-5614	306	3	decrypting	decrypting	NOUN
ejpam-5614	306	4	for	for	ADP
ejpam-5614	306	5	each	each	DET
ejpam-5614	306	6	ordered	order	VERB
ejpam-5614	306	7	pair	pair	NOUN
ejpam-5614	306	8	as	as	SCONJ
ejpam-5614	306	9	follows	follow	VERB
ejpam-5614	306	10	(	(	PUNCT
ejpam-5614	306	11	11,18	11,18	NUM
ejpam-5614	306	12	)	)	PUNCT
ejpam-5614	306	13	will	will	AUX
ejpam-5614	306	14	be	be	AUX
ejpam-5614	306	15	[	[	PUNCT
ejpam-5614	306	16	8	8	NUM
ejpam-5614	306	17	20	20	NUM
ejpam-5614	306	18	5	5	NUM
ejpam-5614	306	19	21	21	NUM
ejpam-5614	306	20	]	]	PUNCT
ejpam-5614	306	21	[	[	PUNCT
ejpam-5614	306	22	11	11	NUM
ejpam-5614	306	23	18	18	NUM
ejpam-5614	306	24	]	]	PUNCT
ejpam-5614	306	25	=	=	PUNCT
ejpam-5614	307	1	[	[	PUNCT
ejpam-5614	307	2	16	16	NUM
ejpam-5614	307	3	1	1	NUM
ejpam-5614	307	4	]	]	PUNCT
ejpam-5614	307	5	and	and	CCONJ
ejpam-5614	307	6	(	(	PUNCT
ejpam-5614	307	7	0,9	0,9	NUM
ejpam-5614	307	8	)	)	PUNCT
ejpam-5614	307	9	will	will	AUX
ejpam-5614	307	10	be	be	AUX
ejpam-5614	307	11	[	[	PUNCT
ejpam-5614	307	12	8	8	NUM
ejpam-5614	307	13	20	20	NUM
ejpam-5614	307	14	5	5	NUM
ejpam-5614	307	15	21	21	NUM
ejpam-5614	307	16	]	]	PUNCT
ejpam-5614	308	1	[	[	PUNCT
ejpam-5614	308	2	0	0	NUM
ejpam-5614	308	3	9	9	NUM
ejpam-5614	308	4	]	]	PUNCT
ejpam-5614	308	5	=	=	PUNCT
ejpam-5614	309	1	[	[	PUNCT
ejpam-5614	309	2	18	18	NUM
ejpam-5614	309	3	0	0	NUM
ejpam-5614	309	4	]	]	PUNCT
ejpam-5614	309	5	.	.	PUNCT
ejpam-5614	310	1	representing	represent	VERB
ejpam-5614	310	2	the	the	DET
ejpam-5614	310	3	entries	entry	NOUN
ejpam-5614	310	4	of	of	ADP
ejpam-5614	310	5	the	the	DET
ejpam-5614	310	6	matrices	matrix	NOUN
ejpam-5614	310	7	[	[	PUNCT
ejpam-5614	310	8	16	16	NUM
ejpam-5614	310	9	1	1	NUM
ejpam-5614	310	10	]	]	PUNCT
ejpam-5614	310	11	and	and	CCONJ
ejpam-5614	310	12	[	[	PUNCT
ejpam-5614	310	13	18	18	NUM
ejpam-5614	310	14	0	0	NUM
ejpam-5614	310	15	]	]	PUNCT
ejpam-5614	310	16	to	to	ADP
ejpam-5614	310	17	their	their	PRON
ejpam-5614	310	18	equivalent	equivalent	ADJ
ejpam-5614	310	19	character	character	NOUN
ejpam-5614	310	20	(	(	PUNCT
ejpam-5614	310	21	or	or	CCONJ
ejpam-5614	310	22	space	space	NOUN
ejpam-5614	310	23	)	)	PUNCT
ejpam-5614	310	24	that	that	PRON
ejpam-5614	310	25	is	be	AUX
ejpam-5614	310	26	[	[	PUNCT
ejpam-5614	310	27	16	16	NUM
ejpam-5614	310	28	1	1	NUM
ejpam-5614	310	29	]	]	PUNCT
ejpam-5614	310	30	⇒	⇒	X
ejpam-5614	310	31	pa	pa	PROPN
ejpam-5614	310	32	and	and	CCONJ
ejpam-5614	310	33	[	[	PUNCT
ejpam-5614	310	34	18	18	NUM
ejpam-5614	310	35	0	0	NUM
ejpam-5614	310	36	]	]	PUNCT
ejpam-5614	310	37	⇒	⇒	PROPN
ejpam-5614	310	38	r.	r.	PROPN
ejpam-5614	310	39	hence	hence	ADV
ejpam-5614	310	40	,	,	PUNCT
ejpam-5614	310	41	the	the	DET
ejpam-5614	310	42	plaintext	plaintext	NOUN
ejpam-5614	310	43	is	be	AUX
ejpam-5614	310	44	m	m	NOUN
ejpam-5614	310	45	=	=	NOUN
ejpam-5614	310	46	par	par	ADJ
ejpam-5614	310	47	.	.	PUNCT
ejpam-5614	311	1	5	5	X
ejpam-5614	311	2	.	.	X
ejpam-5614	311	3	conclusion	conclusion	NOUN
ejpam-5614	311	4	this	this	DET
ejpam-5614	311	5	paper	paper	NOUN
ejpam-5614	311	6	proposed	propose	VERB
ejpam-5614	311	7	a	a	DET
ejpam-5614	311	8	fast	fast	ADJ
ejpam-5614	311	9	algorithm	algorithm	NOUN
ejpam-5614	311	10	for	for	ADP
ejpam-5614	311	11	determining	determine	VERB
ejpam-5614	311	12	the	the	DET
ejpam-5614	311	13	upper	upper	ADJ
ejpam-5614	311	14	bound	bind	VERB
ejpam-5614	311	15	of	of	ADP
ejpam-5614	311	16	the	the	DET
ejpam-5614	311	17	radio	radio	NOUN
ejpam-5614	311	18	number	number	NOUN
ejpam-5614	311	19	of	of	ADP
ejpam-5614	311	20	a	a	DET
ejpam-5614	311	21	given	give	VERB
ejpam-5614	311	22	graph	graph	NOUN
ejpam-5614	311	23	.	.	PUNCT
ejpam-5614	312	1	the	the	DET
ejpam-5614	312	2	proposed	propose	VERB
ejpam-5614	312	3	algorithm	algorithm	NOUN
ejpam-5614	312	4	was	be	AUX
ejpam-5614	312	5	superior	superior	ADJ
ejpam-5614	312	6	to	to	ADP
ejpam-5614	312	7	that	that	PRON
ejpam-5614	312	8	of	of	ADP
ejpam-5614	312	9	saha	saha	NOUN
ejpam-5614	312	10	and	and	CCONJ
ejpam-5614	312	11	panigrahi	panigrahi	NOUN
ejpam-5614	312	12	(	(	PUNCT
ejpam-5614	312	13	2012	2012	NUM
ejpam-5614	312	14	)	)	PUNCT
ejpam-5614	312	15	.	.	PUNCT
ejpam-5614	313	1	according	accord	VERB
ejpam-5614	313	2	to	to	ADP
ejpam-5614	313	3	cpu	cpu	NOUN
ejpam-5614	313	4	time	time	NOUN
ejpam-5614	313	5	,	,	PUNCT
ejpam-5614	313	6	the	the	DET
ejpam-5614	313	7	proposed	propose	VERB
ejpam-5614	313	8	algorithm	algorithm	NOUN
ejpam-5614	313	9	outperformed	outperform	VERB
ejpam-5614	313	10	the	the	DET
ejpam-5614	313	11	other	other	ADJ
ejpam-5614	313	12	which	which	PRON
ejpam-5614	313	13	is	be	AUX
ejpam-5614	313	14	due	due	ADJ
ejpam-5614	313	15	to	to	ADP
ejpam-5614	313	16	badr	badr	PROPN
ejpam-5614	313	17	and	and	CCONJ
ejpam-5614	313	18	mousa	mousa	PROPN
ejpam-5614	313	19	(	(	PUNCT
ejpam-5614	313	20	2019	2019	NUM
ejpam-5614	313	21	)	)	PUNCT
ejpam-5614	313	22	.	.	PUNCT
ejpam-5614	314	1	the	the	DET
ejpam-5614	314	2	superiority	superiority	NOUN
ejpam-5614	314	3	of	of	ADP
ejpam-5614	314	4	the	the	DET
ejpam-5614	314	5	proposed	propose	VERB
ejpam-5614	314	6	algorithm	algorithm	NOUN
ejpam-5614	314	7	on	on	ADP
ejpam-5614	314	8	the	the	DET
ejpam-5614	314	9	mathematical	mathematical	ADJ
ejpam-5614	314	10	model	model	NOUN
ejpam-5614	314	11	was	be	AUX
ejpam-5614	314	12	introduced	introduce	VERB
ejpam-5614	314	13	for	for	ADP
ejpam-5614	314	14	both	both	CCONJ
ejpam-5614	314	15	the	the	DET
ejpam-5614	314	16	upper	upper	ADJ
ejpam-5614	314	17	bound	bound	NOUN
ejpam-5614	314	18	of	of	ADP
ejpam-5614	314	19	the	the	DET
ejpam-5614	314	20	radio	radio	NOUN
ejpam-5614	314	21	number	number	NOUN
ejpam-5614	314	22	and	and	CCONJ
ejpam-5614	314	23	cpu	cpu	NOUN
ejpam-5614	314	24	time	time	NOUN
ejpam-5614	314	25	.	.	PUNCT
ejpam-5614	315	1	an	an	DET
ejpam-5614	315	2	application	application	NOUN
ejpam-5614	315	3	of	of	ADP
ejpam-5614	315	4	radio	radio	NOUN
ejpam-5614	315	5	labeling	labeling	NOUN
ejpam-5614	315	6	for	for	ADP
ejpam-5614	315	7	cryptography	cryptography	NOUN
ejpam-5614	315	8	is	be	AUX
ejpam-5614	315	9	presented	present	VERB
ejpam-5614	315	10	.	.	PUNCT
ejpam-5614	316	1	in	in	ADP
ejpam-5614	316	2	the	the	DET
ejpam-5614	316	3	future	future	NOUN
ejpam-5614	316	4	,	,	PUNCT
ejpam-5614	316	5	we	we	PRON
ejpam-5614	316	6	will	will	AUX
ejpam-5614	316	7	seek	seek	VERB
ejpam-5614	316	8	a	a	DET
ejpam-5614	316	9	new	new	ADJ
ejpam-5614	316	10	algorithm	algorithm	NOUN
ejpam-5614	316	11	based	base	VERB
ejpam-5614	316	12	on	on	ADP
ejpam-5614	316	13	selecting	select	VERB
ejpam-5614	316	14	the	the	DET
ejpam-5614	316	15	vertex	vertex	NOUN
ejpam-5614	316	16	that	that	PRON
ejpam-5614	316	17	accepts	accept	VERB
ejpam-5614	316	18	the	the	DET
ejpam-5614	316	19	label	label	NOUN
ejpam-5614	316	20	zero	zero	NUM
ejpam-5614	316	21	so	so	SCONJ
ejpam-5614	316	22	that	that	SCONJ
ejpam-5614	316	23	it	it	PRON
ejpam-5614	316	24	is	be	AUX
ejpam-5614	316	25	efficient	efficient	ADJ
ejpam-5614	316	26	and	and	CCONJ
ejpam-5614	316	27	outperforms	outperform	VERB
ejpam-5614	316	28	the	the	DET
ejpam-5614	316	29	existing	exist	VERB
ejpam-5614	316	30	algorithms	algorithm	NOUN
ejpam-5614	316	31	.	.	PUNCT
ejpam-5614	317	1	in	in	ADP
ejpam-5614	317	2	addition	addition	NOUN
ejpam-5614	317	3	to	to	ADP
ejpam-5614	317	4	testing	test	VERB
ejpam-5614	317	5	such	such	DET
ejpam-5614	317	6	an	an	DET
ejpam-5614	317	7	algorithm	algorithm	NOUN
ejpam-5614	317	8	on	on	ADP
ejpam-5614	317	9	graphs	graph	NOUN
ejpam-5614	317	10	with	with	ADP
ejpam-5614	317	11	varying	vary	VERB
ejpam-5614	317	12	specifications	specification	NOUN
ejpam-5614	317	13	for	for	ADP
ejpam-5614	317	14	number	number	NOUN
ejpam-5614	317	15	of	of	ADP
ejpam-5614	317	16	vertices	vertex	NOUN
ejpam-5614	317	17	,	,	PUNCT
ejpam-5614	317	18	diameter	diameter	NOUN
ejpam-5614	317	19	,	,	PUNCT
ejpam-5614	317	20	symmetry	symmetry	NOUN
ejpam-5614	317	21	,	,	PUNCT
ejpam-5614	317	22	etc	etc	X
ejpam-5614	317	23	.	.	X
ejpam-5614	317	24	,	,	PUNCT
ejpam-5614	317	25	the	the	DET
ejpam-5614	317	26	algorithm	algorithm	NOUN
ejpam-5614	317	27	must	must	AUX
ejpam-5614	317	28	also	also	ADV
ejpam-5614	317	29	be	be	AUX
ejpam-5614	317	30	examined	examine	VERB
ejpam-5614	317	31	on	on	ADP
ejpam-5614	317	32	graphs	graph	NOUN
ejpam-5614	317	33	with	with	ADP
ejpam-5614	317	34	varying	vary	VERB
ejpam-5614	317	35	specifications	specification	NOUN
ejpam-5614	317	36	for	for	ADP
ejpam-5614	317	37	symmetry	symmetry	NOUN
ejpam-5614	317	38	,	,	PUNCT
ejpam-5614	317	39	diameter	diameter	NOUN
ejpam-5614	317	40	,	,	PUNCT
ejpam-5614	317	41	etc	etc	X
ejpam-5614	317	42	.	.	X
ejpam-5614	317	43	on	on	ADP
ejpam-5614	317	44	other	other	ADJ
ejpam-5614	317	45	hand	hand	NOUN
ejpam-5614	317	46	,	,	PUNCT
ejpam-5614	317	47	wireless	wireless	NOUN
ejpam-5614	317	48	technologies	technology	NOUN
ejpam-5614	317	49	have	have	AUX
ejpam-5614	317	50	been	be	AUX
ejpam-5614	317	51	recently	recently	ADV
ejpam-5614	317	52	used	use	VERB
ejpam-5614	317	53	in	in	ADP
ejpam-5614	317	54	a	a	DET
ejpam-5614	317	55	variety	variety	NOUN
ejpam-5614	317	56	of	of	ADP
ejpam-5614	317	57	services	service	NOUN
ejpam-5614	317	58	.	.	PUNCT
ejpam-5614	318	1	hence	hence	ADV
ejpam-5614	318	2	,	,	PUNCT
ejpam-5614	318	3	it	it	PRON
ejpam-5614	318	4	is	be	AUX
ejpam-5614	318	5	more	more	ADV
ejpam-5614	318	6	economical	economical	ADJ
ejpam-5614	318	7	to	to	PART
ejpam-5614	318	8	try	try	VERB
ejpam-5614	318	9	reusing	reuse	VERB
ejpam-5614	318	10	the	the	DET
ejpam-5614	318	11	frequencies	frequency	NOUN
ejpam-5614	318	12	.	.	PUNCT
ejpam-5614	319	1	in	in	ADP
ejpam-5614	319	2	future	future	NOUN
ejpam-5614	319	3	we	we	PRON
ejpam-5614	319	4	claim	claim	VERB
ejpam-5614	319	5	to	to	PART
ejpam-5614	319	6	enhance	enhance	VERB
ejpam-5614	319	7	our	our	PRON
ejpam-5614	319	8	algorithm	algorithm	NOUN
ejpam-5614	319	9	to	to	PART
ejpam-5614	319	10	work	work	VERB
ejpam-5614	319	11	on	on	ADP
ejpam-5614	319	12	this	this	DET
ejpam-5614	319	13	issue	issue	NOUN
ejpam-5614	319	14	.	.	PUNCT
ejpam-5614	320	1	declaration	declaration	NOUN
ejpam-5614	320	2	of	of	ADP
ejpam-5614	320	3	interests	interest	NOUN
ejpam-5614	320	4	:	:	PUNCT
ejpam-5614	320	5	the	the	DET
ejpam-5614	320	6	authors	author	NOUN
ejpam-5614	320	7	declare	declare	VERB
ejpam-5614	320	8	no	no	DET
ejpam-5614	320	9	conflict	conflict	NOUN
ejpam-5614	320	10	of	of	ADP
ejpam-5614	320	11	interest	interest	NOUN
ejpam-5614	320	12	.	.	PUNCT
ejpam-5614	321	1	n.	n.	PROPN
ejpam-5614	321	2	m.	m.	PROPN
ejpam-5614	321	3	noureldeen	noureldeen	INTJ
ejpam-5614	321	4	et	et	PROPN
ejpam-5614	321	5	al	al	PROPN
ejpam-5614	321	6	.	.	PUNCT
ejpam-5614	321	7	/	/	SYM
ejpam-5614	321	8	eur	eur	PROPN
ejpam-5614	321	9	.	.	PUNCT
ejpam-5614	322	1	j.	j.	PROPN
ejpam-5614	322	2	pure	pure	PROPN
ejpam-5614	322	3	appl	appl	PROPN
ejpam-5614	322	4	.	.	PROPN
ejpam-5614	322	5	math	math	PROPN
ejpam-5614	322	6	,	,	PUNCT
ejpam-5614	322	7	18	18	NUM
ejpam-5614	322	8	(	(	PUNCT
ejpam-5614	322	9	1	1	NUM
ejpam-5614	322	10	)	)	PUNCT
ejpam-5614	322	11	(	(	PUNCT
ejpam-5614	322	12	2025	2025	NUM
ejpam-5614	322	13	)	)	PUNCT
ejpam-5614	322	14	,	,	PUNCT
ejpam-5614	322	15	5614	5614	NUM
ejpam-5614	322	16	16	16	NUM
ejpam-5614	322	17	of	of	ADP
ejpam-5614	322	18	18	18	NUM
ejpam-5614	322	19	references	reference	NOUN
ejpam-5614	322	20	[	[	X
ejpam-5614	322	21	1	1	NUM
ejpam-5614	322	22	]	]	PUNCT
ejpam-5614	322	23	b.	b.	PROPN
ejpam-5614	322	24	d.	d.	PROPN
ejpam-5614	322	25	acharya	acharya	PROPN
ejpam-5614	322	26	and	and	CCONJ
ejpam-5614	322	27	m.	m.	PROPN
ejpam-5614	322	28	k.	k.	PROPN
ejpam-5614	322	29	gill	gill	PROPN
ejpam-5614	322	30	.	.	PUNCT
ejpam-5614	323	1	on	on	ADP
ejpam-5614	323	2	the	the	DET
ejpam-5614	323	3	index	index	NOUN
ejpam-5614	323	4	of	of	ADP
ejpam-5614	323	5	gracefulness	gracefulness	NOUN
ejpam-5614	323	6	of	of	ADP
ejpam-5614	323	7	a	a	DET
ejpam-5614	323	8	graph	graph	NOUN
ejpam-5614	323	9	and	and	CCONJ
ejpam-5614	323	10	the	the	DET
ejpam-5614	323	11	gracefulness	gracefulness	NOUN
ejpam-5614	323	12	of	of	ADP
ejpam-5614	323	13	two	two	NUM
ejpam-5614	323	14	-	-	PUNCT
ejpam-5614	323	15	dimensional	dimensional	ADJ
ejpam-5614	323	16	square	square	ADJ
ejpam-5614	323	17	lattice	lattice	NOUN
ejpam-5614	323	18	graphs	graph	NOUN
ejpam-5614	323	19	.	.	PUNCT
ejpam-5614	324	1	indian	indian	ADJ
ejpam-5614	324	2	journal	journal	PROPN
ejpam-5614	324	3	of	of	ADP
ejpam-5614	324	4	mathematics	mathematic	NOUN
ejpam-5614	324	5	,	,	PUNCT
ejpam-5614	324	6	23:81–94	23:81–94	NUM
ejpam-5614	324	7	,	,	PUNCT
ejpam-5614	324	8	1981	1981	NUM
ejpam-5614	324	9	.	.	PUNCT
ejpam-5614	325	1	[	[	X
ejpam-5614	325	2	2	2	NUM
ejpam-5614	325	3	]	]	PUNCT
ejpam-5614	325	4	a.	a.	NOUN
ejpam-5614	325	5	h.	h.	PROPN
ejpam-5614	325	6	alkasasbeh	alkasasbeh	PROPN
ejpam-5614	325	7	,	,	PUNCT
ejpam-5614	325	8	e.	e.	PROPN
ejpam-5614	325	9	badr	badr	PROPN
ejpam-5614	325	10	,	,	PUNCT
ejpam-5614	325	11	h.	h.	PROPN
ejpam-5614	325	12	attiya	attiya	PROPN
ejpam-5614	325	13	,	,	PUNCT
ejpam-5614	325	14	and	and	CCONJ
ejpam-5614	325	15	h.	h.	PROPN
ejpam-5614	325	16	m.	m.	PROPN
ejpam-5614	325	17	shabana	shabana	PROPN
ejpam-5614	325	18	.	.	PUNCT
ejpam-5614	326	1	radio	radio	NOUN
ejpam-5614	326	2	number	number	NOUN
ejpam-5614	326	3	for	for	ADP
ejpam-5614	326	4	friendship	friendship	NOUN
ejpam-5614	326	5	communication	communication	NOUN
ejpam-5614	326	6	networks	network	NOUN
ejpam-5614	326	7	.	.	PUNCT
ejpam-5614	327	1	mathematics	mathematic	NOUN
ejpam-5614	327	2	,	,	PUNCT
ejpam-5614	327	3	11:4232	11:4232	PROPN
ejpam-5614	327	4	,	,	PUNCT
ejpam-5614	327	5	2023	2023	NUM
ejpam-5614	327	6	.	.	PUNCT
ejpam-5614	328	1	[	[	X
ejpam-5614	328	2	3	3	X
ejpam-5614	328	3	]	]	X
ejpam-5614	328	4	e.	e.	PROPN
ejpam-5614	328	5	badr	badr	PROPN
ejpam-5614	328	6	,	,	PUNCT
ejpam-5614	328	7	m.	m.	PROPN
ejpam-5614	328	8	abdul	abdul	PROPN
ejpam-5614	328	9	salam	salam	PROPN
ejpam-5614	328	10	,	,	PUNCT
ejpam-5614	328	11	s.	s.	PROPN
ejpam-5614	328	12	almotairi	almotairi	PROPN
ejpam-5614	328	13	,	,	PUNCT
ejpam-5614	328	14	and	and	CCONJ
ejpam-5614	328	15	h.	h.	PROPN
ejpam-5614	328	16	ahmed	ahmed	PROPN
ejpam-5614	328	17	.	.	PUNCT
ejpam-5614	329	1	from	from	ADP
ejpam-5614	329	2	linear	linear	ADJ
ejpam-5614	329	3	programming	programming	NOUN
ejpam-5614	329	4	approach	approach	NOUN
ejpam-5614	329	5	to	to	ADP
ejpam-5614	329	6	metaheuristic	metaheuristic	ADJ
ejpam-5614	329	7	approach	approach	NOUN
ejpam-5614	329	8	:	:	PUNCT
ejpam-5614	329	9	scaling	scale	VERB
ejpam-5614	329	10	techniques	technique	NOUN
ejpam-5614	329	11	.	.	PUNCT
ejpam-5614	330	1	complexity	complexity	NOUN
ejpam-5614	330	2	,	,	PUNCT
ejpam-5614	330	3	page	page	NOUN
ejpam-5614	330	4	article	article	NOUN
ejpam-5614	330	5	i	i	PROPN
ejpam-5614	330	6	d	d	PROPN
ejpam-5614	330	7	9384318	9384318	NUM
ejpam-5614	330	8	,	,	PUNCT
ejpam-5614	330	9	2021	2021	NUM
ejpam-5614	330	10	.	.	PUNCT
ejpam-5614	331	1	[	[	X
ejpam-5614	331	2	4	4	X
ejpam-5614	331	3	]	]	X
ejpam-5614	331	4	e.	e.	PROPN
ejpam-5614	331	5	badr	badr	PROPN
ejpam-5614	331	6	,	,	PUNCT
ejpam-5614	331	7	s.	s.	PROPN
ejpam-5614	331	8	almotairi	almotairi	PROPN
ejpam-5614	331	9	,	,	PUNCT
ejpam-5614	331	10	a.	a.	NOUN
ejpam-5614	331	11	elrokh	elrokh	NOUN
ejpam-5614	331	12	,	,	PUNCT
ejpam-5614	331	13	a.	a.	PROPN
ejpam-5614	331	14	abdel	abdel	PROPN
ejpam-5614	331	15	-	-	PUNCT
ejpam-5614	331	16	hady	hady	PROPN
ejpam-5614	331	17	,	,	PUNCT
ejpam-5614	331	18	and	and	CCONJ
ejpam-5614	331	19	b.	b.	PROPN
ejpam-5614	331	20	almutairi	almutairi	PROPN
ejpam-5614	331	21	.	.	PUNCT
ejpam-5614	332	1	an	an	DET
ejpam-5614	332	2	integer	integer	NOUN
ejpam-5614	332	3	linear	linear	NOUN
ejpam-5614	332	4	programming	programming	NOUN
ejpam-5614	332	5	model	model	NOUN
ejpam-5614	332	6	for	for	ADP
ejpam-5614	332	7	solving	solve	VERB
ejpam-5614	332	8	radio	radio	NOUN
ejpam-5614	332	9	mean	mean	NOUN
ejpam-5614	332	10	labeling	labeling	NOUN
ejpam-5614	332	11	problem	problem	NOUN
ejpam-5614	332	12	.	.	PUNCT
ejpam-5614	333	1	ieee	ieee	NOUN
ejpam-5614	333	2	access	access	NOUN
ejpam-5614	333	3	,	,	PUNCT
ejpam-5614	333	4	8:162343–162349	8:162343–162349	NUM
ejpam-5614	333	5	,	,	PUNCT
ejpam-5614	333	6	2020	2020	NUM
ejpam-5614	333	7	.	.	PUNCT
ejpam-5614	334	1	[	[	X
ejpam-5614	334	2	5	5	X
ejpam-5614	334	3	]	]	PUNCT
ejpam-5614	334	4	e.	e.	PROPN
ejpam-5614	334	5	badr	badr	PROPN
ejpam-5614	334	6	,	,	PUNCT
ejpam-5614	334	7	s.	s.	PROPN
ejpam-5614	334	8	nada	nada	PROPN
ejpam-5614	334	9	,	,	PUNCT
ejpam-5614	334	10	m.	m.	NOUN
ejpam-5614	334	11	al	al	PROPN
ejpam-5614	334	12	-	-	PUNCT
ejpam-5614	334	13	shamiri	shamiri	PROPN
ejpam-5614	334	14	,	,	PUNCT
ejpam-5614	334	15	a.	a.	PROPN
ejpam-5614	334	16	abdel	abdel	PROPN
ejpam-5614	334	17	-	-	PUNCT
ejpam-5614	334	18	hay	hay	PROPN
ejpam-5614	334	19	,	,	PUNCT
ejpam-5614	334	20	and	and	CCONJ
ejpam-5614	334	21	a.	a.	NOUN
ejpam-5614	334	22	elrokh	elrokh	NOUN
ejpam-5614	334	23	.	.	PUNCT
ejpam-5614	335	1	a	a	DET
ejpam-5614	335	2	novel	novel	ADJ
ejpam-5614	335	3	mathematical	mathematical	ADJ
ejpam-5614	335	4	model	model	NOUN
ejpam-5614	335	5	for	for	ADP
ejpam-5614	335	6	radio	radio	NOUN
ejpam-5614	335	7	mean	mean	PROPN
ejpam-5614	335	8	square	square	ADJ
ejpam-5614	335	9	labeling	labeling	NOUN
ejpam-5614	335	10	problem	problem	NOUN
ejpam-5614	335	11	.	.	PUNCT
ejpam-5614	336	1	journal	journal	NOUN
ejpam-5614	336	2	of	of	ADP
ejpam-5614	336	3	mathematics	mathematic	NOUN
ejpam-5614	336	4	,	,	PUNCT
ejpam-5614	336	5	page	page	NOUN
ejpam-5614	336	6	article	article	NOUN
ejpam-5614	336	7	i	i	PROPN
ejpam-5614	336	8	d	d	PROPN
ejpam-5614	336	9	3303433	3303433	NUM
ejpam-5614	336	10	,	,	PUNCT
ejpam-5614	336	11	2022	2022	NUM
ejpam-5614	336	12	.	.	PUNCT
ejpam-5614	337	1	[	[	X
ejpam-5614	337	2	6	6	NUM
ejpam-5614	337	3	]	]	PUNCT
ejpam-5614	337	4	e.	e.	PROPN
ejpam-5614	337	5	m.	m.	PROPN
ejpam-5614	337	6	badr	badr	PROPN
ejpam-5614	337	7	and	and	CCONJ
ejpam-5614	337	8	m.	m.	PROPN
ejpam-5614	337	9	i.	i.	PROPN
ejpam-5614	337	10	moussa	moussa	PROPN
ejpam-5614	337	11	.	.	PUNCT
ejpam-5614	338	1	an	an	DET
ejpam-5614	338	2	upper	upper	ADJ
ejpam-5614	338	3	bound	bind	VERB
ejpam-5614	338	4	of	of	ADP
ejpam-5614	338	5	radio	radio	NOUN
ejpam-5614	338	6	k	k	PROPN
ejpam-5614	338	7	-	-	ADJ
ejpam-5614	338	8	coloring	coloring	ADJ
ejpam-5614	338	9	problem	problem	NOUN
ejpam-5614	338	10	and	and	CCONJ
ejpam-5614	338	11	its	its	PRON
ejpam-5614	338	12	integer	integer	NOUN
ejpam-5614	338	13	linear	linear	PROPN
ejpam-5614	338	14	programming	programming	NOUN
ejpam-5614	338	15	model	model	NOUN
ejpam-5614	338	16	.	.	PUNCT
ejpam-5614	339	1	wireless	wireless	ADJ
ejpam-5614	339	2	networks	network	NOUN
ejpam-5614	339	3	,	,	PUNCT
ejpam-5614	339	4	26(7):4955–4964	26(7):4955–4964	NUM
ejpam-5614	339	5	,	,	PUNCT
ejpam-5614	339	6	2020	2020	NUM
ejpam-5614	339	7	.	.	PUNCT
ejpam-5614	340	1	[	[	X
ejpam-5614	340	2	7	7	NUM
ejpam-5614	340	3	]	]	PUNCT
ejpam-5614	340	4	elsayed	elsaye	VERB
ejpam-5614	340	5	badr	badr	PROPN
ejpam-5614	340	6	,	,	PUNCT
ejpam-5614	340	7	mohamed	mohamed	PROPN
ejpam-5614	340	8	el	el	PROPN
ejpam-5614	340	9	-	-	PUNCT
ejpam-5614	340	10	hakeem	hakeem	PROPN
ejpam-5614	340	11	,	,	PUNCT
ejpam-5614	340	12	enas	enas	PROPN
ejpam-5614	340	13	e	e	PROPN
ejpam-5614	340	14	el	el	PROPN
ejpam-5614	340	15	-	-	PUNCT
ejpam-5614	340	16	sharawy	sharawy	PROPN
ejpam-5614	340	17	,	,	PUNCT
ejpam-5614	340	18	and	and	CCONJ
ejpam-5614	340	19	thowiba	thowiba	PROPN
ejpam-5614	340	20	e	e	PROPN
ejpam-5614	340	21	ahmed	ahmed	PROPN
ejpam-5614	340	22	.	.	PUNCT
ejpam-5614	341	1	an	an	DET
ejpam-5614	341	2	efficient	efficient	ADJ
ejpam-5614	341	3	algorithm	algorithm	NOUN
ejpam-5614	341	4	for	for	ADP
ejpam-5614	341	5	decomposition	decomposition	NOUN
ejpam-5614	341	6	of	of	ADP
ejpam-5614	341	7	partially	partially	ADV
ejpam-5614	341	8	ordered	order	VERB
ejpam-5614	341	9	sets	set	NOUN
ejpam-5614	341	10	.	.	PUNCT
ejpam-5614	342	1	journal	journal	NOUN
ejpam-5614	342	2	of	of	ADP
ejpam-5614	342	3	mathematics	mathematic	NOUN
ejpam-5614	342	4	,	,	PUNCT
ejpam-5614	342	5	2023(1):9920700	2023(1):9920700	NUM
ejpam-5614	342	6	,	,	PUNCT
ejpam-5614	342	7	2023	2023	NUM
ejpam-5614	342	8	.	.	PUNCT
ejpam-5614	343	1	[	[	X
ejpam-5614	343	2	8	8	NUM
ejpam-5614	343	3	]	]	PUNCT
ejpam-5614	343	4	elsayed	elsaye	VERB
ejpam-5614	343	5	badr	badr	PROPN
ejpam-5614	343	6	,	,	PUNCT
ejpam-5614	343	7	i	i	PROPN
ejpam-5614	343	8	m	m	VERB
ejpam-5614	343	9	selim	selim	PROPN
ejpam-5614	343	10	,	,	PUNCT
ejpam-5614	343	11	hoda	hoda	PROPN
ejpam-5614	343	12	mostafa	mostafa	PROPN
ejpam-5614	343	13	,	,	PUNCT
ejpam-5614	343	14	and	and	CCONJ
ejpam-5614	343	15	hala	hala	PROPN
ejpam-5614	343	16	attiya	attiya	PROPN
ejpam-5614	343	17	.	.	PUNCT
ejpam-5614	344	1	an	an	DET
ejpam-5614	344	2	integer	integer	NOUN
ejpam-5614	344	3	linear	linear	NOUN
ejpam-5614	344	4	programming	programming	NOUN
ejpam-5614	344	5	model	model	NOUN
ejpam-5614	344	6	for	for	ADP
ejpam-5614	344	7	partially	partially	ADV
ejpam-5614	344	8	ordered	order	VERB
ejpam-5614	344	9	sets	set	NOUN
ejpam-5614	344	10	.	.	PUNCT
ejpam-5614	345	1	journal	journal	NOUN
ejpam-5614	345	2	of	of	ADP
ejpam-5614	345	3	mathematics	mathematic	NOUN
ejpam-5614	345	4	,	,	PUNCT
ejpam-5614	345	5	2022(1):7660174	2022(1):7660174	NUM
ejpam-5614	345	6	,	,	PUNCT
ejpam-5614	345	7	2022	2022	NUM
ejpam-5614	345	8	.	.	PUNCT
ejpam-5614	346	1	[	[	X
ejpam-5614	346	2	9	9	NUM
ejpam-5614	346	3	]	]	X
ejpam-5614	346	4	g.	g.	PROPN
ejpam-5614	346	5	s.	s.	PROPN
ejpam-5614	346	6	bloom	bloom	PROPN
ejpam-5614	346	7	and	and	CCONJ
ejpam-5614	346	8	s.	s.	PROPN
ejpam-5614	346	9	w.	w.	PROPN
ejpam-5614	346	10	golomb	golomb	PROPN
ejpam-5614	346	11	.	.	PUNCT
ejpam-5614	347	1	applications	application	NOUN
ejpam-5614	347	2	of	of	ADP
ejpam-5614	347	3	numbered	number	VERB
ejpam-5614	347	4	undirected	undirected	ADJ
ejpam-5614	347	5	graphs	graph	NOUN
ejpam-5614	347	6	,	,	PUNCT
ejpam-5614	347	7	volume	volume	NOUN
ejpam-5614	347	8	65	65	NUM
ejpam-5614	347	9	.	.	PUNCT
ejpam-5614	348	1	proceedings	proceeding	NOUN
ejpam-5614	348	2	of	of	ADP
ejpam-5614	348	3	the	the	DET
ejpam-5614	348	4	institute	institute	NOUN
ejpam-5614	348	5	of	of	ADP
ejpam-5614	348	6	electrical	electrical	ADJ
ejpam-5614	348	7	and	and	CCONJ
ejpam-5614	348	8	electronics	electronic	NOUN
ejpam-5614	348	9	engineers	engineer	NOUN
ejpam-5614	348	10	,	,	PUNCT
ejpam-5614	348	11	1977	1977	NUM
ejpam-5614	348	12	.	.	PUNCT
ejpam-5614	349	1	[	[	X
ejpam-5614	349	2	10	10	NUM
ejpam-5614	349	3	]	]	X
ejpam-5614	349	4	j.	j.	PROPN
ejpam-5614	349	5	bosák	bosák	PROPN
ejpam-5614	349	6	.	.	PUNCT
ejpam-5614	350	1	cyclic	cyclic	ADJ
ejpam-5614	350	2	decompositions	decomposition	NOUN
ejpam-5614	350	3	,	,	PUNCT
ejpam-5614	350	4	vertex	vertex	NOUN
ejpam-5614	350	5	labellings	labelling	NOUN
ejpam-5614	350	6	and	and	CCONJ
ejpam-5614	350	7	graceful	graceful	ADJ
ejpam-5614	350	8	graphs	graph	NOUN
ejpam-5614	350	9	.	.	PUNCT
ejpam-5614	351	1	kluwer	kluwer	NOUN
ejpam-5614	351	2	academic	academic	ADJ
ejpam-5614	351	3	publishers	publisher	NOUN
ejpam-5614	351	4	,	,	PUNCT
ejpam-5614	351	5	1990	1990	NUM
ejpam-5614	351	6	.	.	PUNCT
ejpam-5614	352	1	[	[	X
ejpam-5614	352	2	11	11	NUM
ejpam-5614	352	3	]	]	X
ejpam-5614	352	4	g.	g.	PROPN
ejpam-5614	352	5	chartrand	chartrand	PROPN
ejpam-5614	352	6	,	,	PUNCT
ejpam-5614	352	7	d.	d.	PROPN
ejpam-5614	352	8	erwin	erwin	PROPN
ejpam-5614	352	9	,	,	PUNCT
ejpam-5614	352	10	p.	p.	PROPN
ejpam-5614	352	11	zhang	zhang	PROPN
ejpam-5614	352	12	,	,	PUNCT
ejpam-5614	352	13	and	and	CCONJ
ejpam-5614	352	14	f.	f.	PROPN
ejpam-5614	352	15	harary	harary	PROPN
ejpam-5614	352	16	.	.	PUNCT
ejpam-5614	353	1	radio	radio	NOUN
ejpam-5614	353	2	labeling	labeling	NOUN
ejpam-5614	353	3	of	of	ADP
ejpam-5614	353	4	graphs	graph	NOUN
ejpam-5614	353	5	.	.	PUNCT
ejpam-5614	354	1	bulletin	bulletin	NOUN
ejpam-5614	354	2	of	of	ADP
ejpam-5614	354	3	the	the	DET
ejpam-5614	354	4	institute	institute	PROPN
ejpam-5614	354	5	of	of	ADP
ejpam-5614	354	6	combinatorics	combinatoric	NOUN
ejpam-5614	354	7	and	and	CCONJ
ejpam-5614	354	8	its	its	PRON
ejpam-5614	354	9	applications	application	NOUN
ejpam-5614	354	10	,	,	PUNCT
ejpam-5614	354	11	33:77–85	33:77–85	NUM
ejpam-5614	354	12	,	,	PUNCT
ejpam-5614	354	13	2001	2001	NUM
ejpam-5614	354	14	.	.	PUNCT
ejpam-5614	355	1	[	[	X
ejpam-5614	355	2	12	12	NUM
ejpam-5614	355	3	]	]	PUNCT
ejpam-5614	355	4	a.	a.	NOUN
ejpam-5614	355	5	elrokh	elrokh	NOUN
ejpam-5614	355	6	,	,	PUNCT
ejpam-5614	355	7	a.	a.	PROPN
ejpam-5614	355	8	e.	e.	PROPN
ejpam-5614	355	9	badr	badr	PROPN
ejpam-5614	355	10	,	,	PUNCT
ejpam-5614	355	11	m.	m.	NOUN
ejpam-5614	355	12	m.	m.	PROPN
ejpam-5614	355	13	a.	a.	PROPN
ejpam-5614	355	14	al	al	PROPN
ejpam-5614	355	15	-	-	PUNCT
ejpam-5614	355	16	shamiri	shamiri	PROPN
ejpam-5614	355	17	,	,	PUNCT
ejpam-5614	355	18	and	and	CCONJ
ejpam-5614	355	19	s.	s.	PROPN
ejpam-5614	355	20	ramadhan	ramadhan	PROPN
ejpam-5614	355	21	.	.	PUNCT
ejpam-5614	356	1	upper	upper	ADJ
ejpam-5614	356	2	bounds	bound	NOUN
ejpam-5614	356	3	of	of	ADP
ejpam-5614	356	4	radio	radio	NOUN
ejpam-5614	356	5	number	number	NOUN
ejpam-5614	356	6	for	for	ADP
ejpam-5614	356	7	triangular	triangular	NOUN
ejpam-5614	356	8	snake	snake	NOUN
ejpam-5614	356	9	and	and	CCONJ
ejpam-5614	356	10	double	double	ADJ
ejpam-5614	356	11	triangular	triangular	NOUN
ejpam-5614	356	12	snake	snake	NOUN
ejpam-5614	356	13	graphs	graph	NOUN
ejpam-5614	356	14	.	.	PUNCT
ejpam-5614	357	1	journal	journal	NOUN
ejpam-5614	357	2	of	of	ADP
ejpam-5614	357	3	mathematics	mathematic	NOUN
ejpam-5614	357	4	,	,	PUNCT
ejpam-5614	357	5	page	page	NOUN
ejpam-5614	357	6	article	article	NOUN
ejpam-5614	357	7	i	i	PROPN
ejpam-5614	357	8	d	d	PROPN
ejpam-5614	357	9	3635499	3635499	NUM
ejpam-5614	357	10	,	,	PUNCT
ejpam-5614	357	11	2022	2022	NUM
ejpam-5614	357	12	.	.	PUNCT
ejpam-5614	358	1	[	[	X
ejpam-5614	358	2	13	13	NUM
ejpam-5614	358	3	]	]	X
ejpam-5614	358	4	r.	r.	NOUN
ejpam-5614	358	5	frucht	frucht	PROPN
ejpam-5614	358	6	.	.	PUNCT
ejpam-5614	359	1	graceful	graceful	ADJ
ejpam-5614	359	2	numbering	numbering	NOUN
ejpam-5614	359	3	of	of	ADP
ejpam-5614	359	4	wheels	wheel	NOUN
ejpam-5614	359	5	and	and	CCONJ
ejpam-5614	359	6	other	other	ADJ
ejpam-5614	359	7	related	related	ADJ
ejpam-5614	359	8	graphs	graph	NOUN
ejpam-5614	359	9	.	.	PUNCT
ejpam-5614	360	1	annals	annals	PROPN
ejpam-5614	360	2	new	new	PROPN
ejpam-5614	360	3	york	york	PROPN
ejpam-5614	360	4	academy	academy	PROPN
ejpam-5614	360	5	of	of	ADP
ejpam-5614	360	6	sciences	sciences	PROPN
ejpam-5614	360	7	,	,	PUNCT
ejpam-5614	360	8	319:219–229	319:219–229	NUM
ejpam-5614	360	9	,	,	PUNCT
ejpam-5614	360	10	1979	1979	NUM
ejpam-5614	360	11	.	.	PUNCT
ejpam-5614	361	1	[	[	X
ejpam-5614	361	2	14	14	NUM
ejpam-5614	361	3	]	]	X
ejpam-5614	361	4	r.	r.	PROPN
ejpam-5614	361	5	frucht	frucht	PROPN
ejpam-5614	361	6	and	and	CCONJ
ejpam-5614	361	7	j.	j.	PROPN
ejpam-5614	361	8	a.	a.	PROPN
ejpam-5614	361	9	gallian	gallian	PROPN
ejpam-5614	361	10	.	.	PUNCT
ejpam-5614	362	1	labeling	labeling	NOUN
ejpam-5614	362	2	prisms	prism	NOUN
ejpam-5614	362	3	.	.	PUNCT
ejpam-5614	363	1	ars	ars	PROPN
ejpam-5614	363	2	combinatorica	combinatorica	PROPN
ejpam-5614	363	3	,	,	PUNCT
ejpam-5614	363	4	26:69–82	26:69–82	NUM
ejpam-5614	363	5	,	,	PUNCT
ejpam-5614	363	6	1988	1988	NUM
ejpam-5614	363	7	.	.	PUNCT
ejpam-5614	364	1	[	[	X
ejpam-5614	364	2	15	15	NUM
ejpam-5614	364	3	]	]	X
ejpam-5614	364	4	j.	j.	PROPN
ejpam-5614	364	5	a.	a.	PROPN
ejpam-5614	364	6	gallian	gallian	PROPN
ejpam-5614	364	7	.	.	PUNCT
ejpam-5614	365	1	a	a	DET
ejpam-5614	365	2	dynamic	dynamic	ADJ
ejpam-5614	365	3	survey	survey	NOUN
ejpam-5614	365	4	of	of	ADP
ejpam-5614	365	5	graph	graph	NOUN
ejpam-5614	365	6	labeling	labeling	NOUN
ejpam-5614	365	7	.	.	PUNCT
ejpam-5614	366	1	the	the	DET
ejpam-5614	366	2	electronic	electronic	ADJ
ejpam-5614	366	3	journal	journal	NOUN
ejpam-5614	366	4	of	of	ADP
ejpam-5614	366	5	combinatorics	combinatoric	NOUN
ejpam-5614	366	6	,	,	PUNCT
ejpam-5614	366	7	pages	page	NOUN
ejpam-5614	366	8	1–95	1–95	PROPN
ejpam-5614	366	9	,	,	PUNCT
ejpam-5614	366	10	2023	2023	NUM
ejpam-5614	366	11	.	.	PUNCT
ejpam-5614	367	1	[	[	X
ejpam-5614	367	2	16	16	NUM
ejpam-5614	367	3	]	]	X
ejpam-5614	367	4	r.	r.	PROPN
ejpam-5614	367	5	l.	l.	PROPN
ejpam-5614	367	6	graham	graham	PROPN
ejpam-5614	367	7	and	and	CCONJ
ejpam-5614	367	8	n.	n.	PROPN
ejpam-5614	367	9	j.	j.	PROPN
ejpam-5614	367	10	a.	a.	PROPN
ejpam-5614	367	11	sloane	sloane	PROPN
ejpam-5614	367	12	.	.	PUNCT
ejpam-5614	368	1	on	on	ADP
ejpam-5614	368	2	additive	additive	ADJ
ejpam-5614	368	3	bases	basis	NOUN
ejpam-5614	368	4	and	and	CCONJ
ejpam-5614	368	5	harmonious	harmonious	ADJ
ejpam-5614	368	6	graphs	graph	NOUN
ejpam-5614	368	7	.	.	PUNCT
ejpam-5614	369	1	siam	siam	PROPN
ejpam-5614	369	2	journal	journal	PROPN
ejpam-5614	369	3	on	on	ADP
ejpam-5614	369	4	algebraic	algebraic	ADJ
ejpam-5614	369	5	and	and	CCONJ
ejpam-5614	369	6	discrete	discrete	ADJ
ejpam-5614	369	7	methods	method	NOUN
ejpam-5614	369	8	,	,	PUNCT
ejpam-5614	369	9	1:382–404	1:382–404	NUM
ejpam-5614	369	10	,	,	PUNCT
ejpam-5614	369	11	1980	1980	NUM
ejpam-5614	369	12	.	.	PUNCT
ejpam-5614	370	1	[	[	X
ejpam-5614	370	2	17	17	NUM
ejpam-5614	370	3	]	]	PUNCT
ejpam-5614	370	4	j.	j.	PROPN
ejpam-5614	370	5	griggs	griggs	PROPN
ejpam-5614	370	6	and	and	CCONJ
ejpam-5614	370	7	r.	r.	PROPN
ejpam-5614	370	8	yeh	yeh	PROPN
ejpam-5614	370	9	.	.	PUNCT
ejpam-5614	371	1	labelling	labelling	NOUN
ejpam-5614	371	2	graphs	graph	NOUN
ejpam-5614	371	3	with	with	ADP
ejpam-5614	371	4	a	a	DET
ejpam-5614	371	5	condition	condition	NOUN
ejpam-5614	371	6	at	at	ADP
ejpam-5614	371	7	distance	distance	NOUN
ejpam-5614	371	8	2	2	NUM
ejpam-5614	371	9	.	.	PUNCT
ejpam-5614	371	10	siam	siam	PROPN
ejpam-5614	371	11	journal	journal	PROPN
ejpam-5614	371	12	on	on	ADP
ejpam-5614	371	13	discrete	discrete	ADJ
ejpam-5614	371	14	mathematics	mathematic	NOUN
ejpam-5614	371	15	,	,	PUNCT
ejpam-5614	371	16	5(4):586–595	5(4):586–595	NUM
ejpam-5614	371	17	,	,	PUNCT
ejpam-5614	371	18	1992	1992	NUM
ejpam-5614	371	19	.	.	PUNCT
ejpam-5614	372	1	[	[	X
ejpam-5614	372	2	18	18	NUM
ejpam-5614	372	3	]	]	X
ejpam-5614	372	4	w.	w.	PROPN
ejpam-5614	372	5	k.	k.	PROPN
ejpam-5614	372	6	hale	hale	PROPN
ejpam-5614	372	7	.	.	PUNCT
ejpam-5614	373	1	frequency	frequency	PROPN
ejpam-5614	373	2	assignment	assignment	NOUN
ejpam-5614	373	3	:	:	PUNCT
ejpam-5614	373	4	theory	theory	NOUN
ejpam-5614	373	5	and	and	CCONJ
ejpam-5614	373	6	applications	application	NOUN
ejpam-5614	373	7	.	.	PUNCT
ejpam-5614	374	1	proc	proc	NOUN
ejpam-5614	374	2	.	.	PUNCT
ejpam-5614	375	1	ieee	ieee	PROPN
ejpam-5614	375	2	,	,	PUNCT
ejpam-5614	375	3	n.	n.	PROPN
ejpam-5614	375	4	m.	m.	NOUN
ejpam-5614	375	5	noureldeen	noureldeen	NOUN
ejpam-5614	375	6	et	et	PROPN
ejpam-5614	375	7	al	al	PROPN
ejpam-5614	375	8	.	.	PUNCT
ejpam-5614	375	9	/	/	SYM
ejpam-5614	375	10	eur	eur	PROPN
ejpam-5614	375	11	.	.	PUNCT
ejpam-5614	376	1	j.	j.	PROPN
ejpam-5614	376	2	pure	pure	PROPN
ejpam-5614	376	3	appl	appl	PROPN
ejpam-5614	376	4	.	.	PROPN
ejpam-5614	376	5	math	math	PROPN
ejpam-5614	376	6	,	,	PUNCT
ejpam-5614	376	7	18	18	NUM
ejpam-5614	376	8	(	(	PUNCT
ejpam-5614	376	9	1	1	NUM
ejpam-5614	376	10	)	)	PUNCT
ejpam-5614	376	11	(	(	PUNCT
ejpam-5614	376	12	2025	2025	NUM
ejpam-5614	376	13	)	)	PUNCT
ejpam-5614	376	14	,	,	PUNCT
ejpam-5614	376	15	5614	5614	NUM
ejpam-5614	376	16	17	17	NUM
ejpam-5614	376	17	of	of	ADP
ejpam-5614	376	18	18	18	NUM
ejpam-5614	376	19	68(12):1497–1514	68(12):1497–1514	NOUN
ejpam-5614	376	20	,	,	PUNCT
ejpam-5614	376	21	1980	1980	NUM
ejpam-5614	376	22	.	.	PUNCT
ejpam-5614	377	1	[	[	X
ejpam-5614	377	2	19	19	NUM
ejpam-5614	377	3	]	]	PUNCT
ejpam-5614	377	4	m.	m.	NOUN
ejpam-5614	377	5	kchikech	kchikech	PROPN
ejpam-5614	377	6	,	,	PUNCT
ejpam-5614	377	7	r.	r.	PROPN
ejpam-5614	377	8	khennoufa	khennoufa	PROPN
ejpam-5614	377	9	,	,	PUNCT
ejpam-5614	377	10	and	and	CCONJ
ejpam-5614	377	11	o.	o.	PROPN
ejpam-5614	377	12	togni	togni	PROPN
ejpam-5614	377	13	.	.	PUNCT
ejpam-5614	378	1	linear	linear	ADJ
ejpam-5614	378	2	and	and	CCONJ
ejpam-5614	378	3	cyclic	cyclic	ADJ
ejpam-5614	378	4	radio	radio	NOUN
ejpam-5614	378	5	k	k	NOUN
ejpam-5614	378	6	-	-	PUNCT
ejpam-5614	378	7	labelings	labeling	NOUN
ejpam-5614	378	8	of	of	ADP
ejpam-5614	378	9	trees	tree	NOUN
ejpam-5614	378	10	.	.	PUNCT
ejpam-5614	379	1	discussiones	discussione	NOUN
ejpam-5614	379	2	mathematicae	mathematicae	PROPN
ejpam-5614	379	3	graph	graph	NOUN
ejpam-5614	379	4	theory	theory	NOUN
ejpam-5614	379	5	,	,	PUNCT
ejpam-5614	379	6	27(1):105–123	27(1):105–123	PROPN
ejpam-5614	379	7	,	,	PUNCT
ejpam-5614	379	8	2007	2007	NUM
ejpam-5614	379	9	.	.	PUNCT
ejpam-5614	380	1	[	[	X
ejpam-5614	380	2	20	20	NUM
ejpam-5614	380	3	]	]	PUNCT
ejpam-5614	380	4	x.	x.	NOUN
ejpam-5614	380	5	li	li	PROPN
ejpam-5614	380	6	,	,	PUNCT
ejpam-5614	380	7	v.	v.	PROPN
ejpam-5614	380	8	mak	mak	PROPN
ejpam-5614	380	9	,	,	PUNCT
ejpam-5614	380	10	and	and	CCONJ
ejpam-5614	380	11	s.	s.	PROPN
ejpam-5614	380	12	zhou	zhou	PROPN
ejpam-5614	380	13	.	.	PUNCT
ejpam-5614	381	1	optimal	optimal	ADJ
ejpam-5614	381	2	radio	radio	NOUN
ejpam-5614	381	3	labelings	labeling	NOUN
ejpam-5614	381	4	of	of	ADP
ejpam-5614	381	5	complete	complete	ADJ
ejpam-5614	381	6	m	m	NOUN
ejpam-5614	381	7	-	-	PUNCT
ejpam-5614	381	8	array	array	NOUN
ejpam-5614	381	9	trees	tree	NOUN
ejpam-5614	381	10	.	.	PUNCT
ejpam-5614	382	1	discrete	discrete	ADJ
ejpam-5614	382	2	appl	appl	PROPN
ejpam-5614	382	3	.	.	PUNCT
ejpam-5614	382	4	math	math	PROPN
ejpam-5614	382	5	.	.	PUNCT
ejpam-5614	382	6	,	,	PUNCT
ejpam-5614	382	7	158:507–515	158:507–515	NUM
ejpam-5614	382	8	,	,	PUNCT
ejpam-5614	382	9	2010	2010	NUM
ejpam-5614	382	10	.	.	PUNCT
ejpam-5614	383	1	[	[	X
ejpam-5614	383	2	21	21	NUM
ejpam-5614	383	3	]	]	X
ejpam-5614	383	4	d.	d.	PROPN
ejpam-5614	383	5	d.-f	d.-f	PROPN
ejpam-5614	383	6	.	.	PUNCT
ejpam-5614	384	1	liu	liu	PROPN
ejpam-5614	384	2	.	.	PUNCT
ejpam-5614	384	3	radio	radio	NOUN
ejpam-5614	384	4	number	number	NOUN
ejpam-5614	384	5	for	for	ADP
ejpam-5614	384	6	trees	tree	NOUN
ejpam-5614	384	7	.	.	PUNCT
ejpam-5614	385	1	discrete	discrete	ADJ
ejpam-5614	385	2	math	math	NOUN
ejpam-5614	385	3	.	.	PUNCT
ejpam-5614	385	4	,	,	PUNCT
ejpam-5614	385	5	308:1153–1164	308:1153–1164	NOUN
ejpam-5614	385	6	,	,	PUNCT
ejpam-5614	385	7	2008	2008	NUM
ejpam-5614	385	8	.	.	PUNCT
ejpam-5614	386	1	[	[	X
ejpam-5614	386	2	22	22	NUM
ejpam-5614	386	3	]	]	PUNCT
ejpam-5614	386	4	d.	d.	PROPN
ejpam-5614	386	5	d.-f	d.-f	PROPN
ejpam-5614	386	6	.	.	PUNCT
ejpam-5614	387	1	liu	liu	PROPN
ejpam-5614	387	2	and	and	CCONJ
ejpam-5614	387	3	m.	m.	PROPN
ejpam-5614	387	4	xie	xie	PROPN
ejpam-5614	387	5	.	.	PUNCT
ejpam-5614	388	1	radio	radio	NOUN
ejpam-5614	388	2	number	number	NOUN
ejpam-5614	388	3	for	for	ADP
ejpam-5614	388	4	square	square	NOUN
ejpam-5614	388	5	of	of	ADP
ejpam-5614	388	6	cycles	cycle	NOUN
ejpam-5614	388	7	.	.	PUNCT
ejpam-5614	389	1	congr	congr	NOUN
ejpam-5614	389	2	.	.	PUNCT
ejpam-5614	390	1	numer	numer	PROPN
ejpam-5614	390	2	.	.	PROPN
ejpam-5614	390	3	,	,	PUNCT
ejpam-5614	390	4	169:105	169:105	NOUN
ejpam-5614	390	5	–	–	PUNCT
ejpam-5614	390	6	125	125	NUM
ejpam-5614	390	7	,	,	PUNCT
ejpam-5614	390	8	2004	2004	NUM
ejpam-5614	390	9	.	.	PUNCT
ejpam-5614	391	1	[	[	X
ejpam-5614	391	2	23	23	NUM
ejpam-5614	391	3	]	]	PUNCT
ejpam-5614	391	4	d.	d.	PROPN
ejpam-5614	391	5	d.-f	d.-f	PROPN
ejpam-5614	391	6	.	.	PUNCT
ejpam-5614	392	1	liu	liu	PROPN
ejpam-5614	392	2	and	and	CCONJ
ejpam-5614	392	3	m.	m.	PROPN
ejpam-5614	392	4	xie	xie	PROPN
ejpam-5614	392	5	.	.	PUNCT
ejpam-5614	393	1	radio	radio	NOUN
ejpam-5614	393	2	number	number	NOUN
ejpam-5614	393	3	for	for	ADP
ejpam-5614	393	4	square	square	ADJ
ejpam-5614	393	5	paths	path	NOUN
ejpam-5614	393	6	.	.	PUNCT
ejpam-5614	394	1	ars	ars	PROPN
ejpam-5614	394	2	combin	combin	PROPN
ejpam-5614	394	3	.	.	PROPN
ejpam-5614	394	4	,	,	PUNCT
ejpam-5614	394	5	90:307–319	90:307–319	PROPN
ejpam-5614	394	6	,	,	PUNCT
ejpam-5614	394	7	2009	2009	NUM
ejpam-5614	394	8	.	.	PUNCT
ejpam-5614	395	1	[	[	X
ejpam-5614	395	2	24	24	NUM
ejpam-5614	395	3	]	]	X
ejpam-5614	395	4	d.	d.	PROPN
ejpam-5614	395	5	d.-f	d.-f	PROPN
ejpam-5614	395	6	.	.	PUNCT
ejpam-5614	396	1	liu	liu	PROPN
ejpam-5614	396	2	and	and	CCONJ
ejpam-5614	396	3	x.	x.	PROPN
ejpam-5614	396	4	zhu	zhu	PROPN
ejpam-5614	396	5	.	.	PUNCT
ejpam-5614	397	1	multi	multi	ADJ
ejpam-5614	397	2	-	-	ADJ
ejpam-5614	397	3	level	level	ADJ
ejpam-5614	397	4	distance	distance	NOUN
ejpam-5614	397	5	labelings	labeling	NOUN
ejpam-5614	397	6	for	for	ADP
ejpam-5614	397	7	paths	path	NOUN
ejpam-5614	397	8	and	and	CCONJ
ejpam-5614	397	9	cycles	cycle	NOUN
ejpam-5614	397	10	.	.	PUNCT
ejpam-5614	398	1	siam	siam	PROPN
ejpam-5614	398	2	j.	j.	PROPN
ejpam-5614	398	3	discrete	discrete	PROPN
ejpam-5614	398	4	math	math	PROPN
ejpam-5614	398	5	.	.	PUNCT
ejpam-5614	398	6	,	,	PUNCT
ejpam-5614	398	7	19:610–621	19:610–621	NUM
ejpam-5614	398	8	,	,	PUNCT
ejpam-5614	398	9	2005	2005	NUM
ejpam-5614	398	10	.	.	PUNCT
ejpam-5614	399	1	[	[	X
ejpam-5614	399	2	25	25	NUM
ejpam-5614	399	3	]	]	PUNCT
ejpam-5614	399	4	m.	m.	NOUN
ejpam-5614	399	5	morris	morris	PROPN
ejpam-5614	399	6	-	-	PUNCT
ejpam-5614	399	7	rivera	rivera	PROPN
ejpam-5614	399	8	,	,	PUNCT
ejpam-5614	399	9	m.	m.	NOUN
ejpam-5614	399	10	tomova	tomova	PROPN
ejpam-5614	399	11	,	,	PUNCT
ejpam-5614	399	12	c.	c.	NOUN
ejpam-5614	399	13	wyels	wyel	NOUN
ejpam-5614	399	14	,	,	PUNCT
ejpam-5614	399	15	and	and	CCONJ
ejpam-5614	399	16	y.	y.	PROPN
ejpam-5614	399	17	yeager	yeager	PROPN
ejpam-5614	399	18	.	.	PUNCT
ejpam-5614	400	1	the	the	DET
ejpam-5614	400	2	radio	radio	NOUN
ejpam-5614	400	3	number	number	NOUN
ejpam-5614	400	4	of	of	ADP
ejpam-5614	400	5	cn×cn	cn×cn	PROPN
ejpam-5614	400	6	.	.	PUNCT
ejpam-5614	400	7	ars	ars	PROPN
ejpam-5614	400	8	combin	combin	PROPN
ejpam-5614	400	9	.	.	PROPN
ejpam-5614	400	10	,	,	PUNCT
ejpam-5614	400	11	103:81–96	103:81–96	PROPN
ejpam-5614	400	12	,	,	PUNCT
ejpam-5614	400	13	2012	2012	NUM
ejpam-5614	400	14	.	.	PUNCT
ejpam-5614	401	1	[	[	X
ejpam-5614	401	2	26	26	NUM
ejpam-5614	401	3	]	]	PUNCT
ejpam-5614	401	4	m.	m.	NOUN
ejpam-5614	401	5	i.	i.	PROPN
ejpam-5614	401	6	moussa	moussa	PROPN
ejpam-5614	401	7	and	and	CCONJ
ejpam-5614	401	8	e.	e.	PROPN
ejpam-5614	401	9	m.	m.	PROPN
ejpam-5614	401	10	badr	badr	PROPN
ejpam-5614	401	11	.	.	PUNCT
ejpam-5614	402	1	a	a	DET
ejpam-5614	402	2	data	datum	NOUN
ejpam-5614	402	3	hiding	hide	VERB
ejpam-5614	402	4	algorithm	algorithm	NOUN
ejpam-5614	402	5	based	base	VERB
ejpam-5614	402	6	on	on	ADP
ejpam-5614	402	7	dna	dna	PROPN
ejpam-5614	402	8	and	and	CCONJ
ejpam-5614	402	9	elliptic	elliptic	ADJ
ejpam-5614	402	10	curve	curve	NOUN
ejpam-5614	402	11	cryptosystems	cryptosystem	NOUN
ejpam-5614	402	12	.	.	PUNCT
ejpam-5614	403	1	journal	journal	NOUN
ejpam-5614	403	2	of	of	ADP
ejpam-5614	403	3	information	information	NOUN
ejpam-5614	403	4	hiding	hiding	NOUN
ejpam-5614	403	5	and	and	CCONJ
ejpam-5614	403	6	multimedia	multimedia	NOUN
ejpam-5614	403	7	signal	signal	NOUN
ejpam-5614	403	8	processing	processing	NOUN
ejpam-5614	403	9	,	,	PUNCT
ejpam-5614	403	10	10(3	10(3	NUM
ejpam-5614	403	11	)	)	PUNCT
ejpam-5614	403	12	,	,	PUNCT
ejpam-5614	403	13	september	september	PROPN
ejpam-5614	403	14	2019	2019	NUM
ejpam-5614	403	15	.	.	PUNCT
ejpam-5614	404	1	[	[	X
ejpam-5614	404	2	27	27	NUM
ejpam-5614	404	3	]	]	PUNCT
ejpam-5614	404	4	j.	j.	PROPN
ejpam-5614	404	5	p.	p.	PROPN
ejpam-5614	404	6	ortiz	ortiz	PROPN
ejpam-5614	404	7	,	,	PUNCT
ejpam-5614	404	8	p.	p.	PROPN
ejpam-5614	404	9	martinez	martinez	PROPN
ejpam-5614	404	10	,	,	PUNCT
ejpam-5614	404	11	m.	m.	NOUN
ejpam-5614	404	12	tomova	tomova	PROPN
ejpam-5614	404	13	,	,	PUNCT
ejpam-5614	404	14	and	and	CCONJ
ejpam-5614	404	15	c.	c.	NOUN
ejpam-5614	404	16	wyels	wyel	NOUN
ejpam-5614	404	17	.	.	PUNCT
ejpam-5614	405	1	radio	radio	NOUN
ejpam-5614	405	2	numbers	number	NOUN
ejpam-5614	405	3	of	of	ADP
ejpam-5614	405	4	some	some	DET
ejpam-5614	405	5	generalized	generalized	ADJ
ejpam-5614	405	6	prism	prism	NOUN
ejpam-5614	405	7	graphs	graph	NOUN
ejpam-5614	405	8	.	.	PUNCT
ejpam-5614	406	1	discuss	discuss	PROPN
ejpam-5614	406	2	.	.	PUNCT
ejpam-5614	407	1	math	math	NOUN
ejpam-5614	407	2	.	.	PUNCT
ejpam-5614	408	1	graph	graph	NOUN
ejpam-5614	408	2	theory	theory	NOUN
ejpam-5614	408	3	,	,	PUNCT
ejpam-5614	408	4	31:45–62	31:45–62	NUM
ejpam-5614	408	5	,	,	PUNCT
ejpam-5614	408	6	2011	2011	NUM
ejpam-5614	408	7	.	.	PUNCT
ejpam-5614	409	1	[	[	X
ejpam-5614	409	2	28	28	NUM
ejpam-5614	409	3	]	]	X
ejpam-5614	409	4	v.	v.	ADP
ejpam-5614	409	5	s.	s.	PROPN
ejpam-5614	409	6	reddy	reddy	PROPN
ejpam-5614	409	7	and	and	CCONJ
ejpam-5614	409	8	v.	v.	PROPN
ejpam-5614	409	9	k.	k.	PROPN
ejpam-5614	409	10	iyer	iyer	PROPN
ejpam-5614	409	11	.	.	PUNCT
ejpam-5614	410	1	upper	upper	ADJ
ejpam-5614	410	2	bounds	bound	NOUN
ejpam-5614	410	3	on	on	ADP
ejpam-5614	410	4	the	the	DET
ejpam-5614	410	5	radio	radio	NOUN
ejpam-5614	410	6	number	number	NOUN
ejpam-5614	410	7	of	of	ADP
ejpam-5614	410	8	some	some	DET
ejpam-5614	410	9	trees	tree	NOUN
ejpam-5614	410	10	.	.	PUNCT
ejpam-5614	411	1	int	int	NOUN
ejpam-5614	411	2	.	.	PUNCT
ejpam-5614	412	1	j.	j.	PROPN
ejpam-5614	412	2	pure	pure	ADJ
ejpam-5614	412	3	and	and	CCONJ
ejpam-5614	412	4	applied	applied	ADJ
ejpam-5614	412	5	math	math	NOUN
ejpam-5614	412	6	.	.	PUNCT
ejpam-5614	413	1	,	,	PUNCT
ejpam-5614	414	1	71(2):207–215	71(2):207–215	NUM
ejpam-5614	414	2	,	,	PUNCT
ejpam-5614	414	3	2011	2011	NUM
ejpam-5614	414	4	.	.	PUNCT
ejpam-5614	415	1	[	[	X
ejpam-5614	415	2	29	29	NUM
ejpam-5614	415	3	]	]	PUNCT
ejpam-5614	415	4	a.	a.	PROPN
ejpam-5614	415	5	rosa	rosa	PROPN
ejpam-5614	415	6	.	.	PUNCT
ejpam-5614	416	1	on	on	ADP
ejpam-5614	416	2	certain	certain	ADJ
ejpam-5614	416	3	valuations	valuation	NOUN
ejpam-5614	416	4	of	of	ADP
ejpam-5614	416	5	the	the	DET
ejpam-5614	416	6	vertices	vertex	NOUN
ejpam-5614	416	7	of	of	ADP
ejpam-5614	416	8	a	a	DET
ejpam-5614	416	9	graph	graph	NOUN
ejpam-5614	416	10	.	.	PUNCT
ejpam-5614	417	1	in	in	ADP
ejpam-5614	417	2	theory	theory	NOUN
ejpam-5614	417	3	of	of	ADP
ejpam-5614	417	4	graphs	graph	NOUN
ejpam-5614	417	5	,	,	PUNCT
ejpam-5614	417	6	international	international	ADJ
ejpam-5614	417	7	symposium	symposium	NOUN
ejpam-5614	417	8	,	,	PUNCT
ejpam-5614	417	9	rome	rome	PROPN
ejpam-5614	417	10	,	,	PUNCT
ejpam-5614	417	11	july	july	PROPN
ejpam-5614	417	12	1966	1966	NUM
ejpam-5614	417	13	,	,	PUNCT
ejpam-5614	417	14	pages	page	NOUN
ejpam-5614	417	15	349–355	349–355	NUM
ejpam-5614	417	16	.	.	PUNCT
ejpam-5614	418	1	gordon	gordon	PROPN
ejpam-5614	418	2	and	and	CCONJ
ejpam-5614	418	3	breach	breach	PROPN
ejpam-5614	418	4	,	,	PUNCT
ejpam-5614	418	5	1967	1967	NUM
ejpam-5614	418	6	.	.	PUNCT
ejpam-5614	419	1	[	[	X
ejpam-5614	419	2	30	30	NUM
ejpam-5614	419	3	]	]	X
ejpam-5614	419	4	l.	l.	PROPN
ejpam-5614	419	5	saha	saha	PROPN
ejpam-5614	419	6	and	and	CCONJ
ejpam-5614	419	7	p.	p.	NOUN
ejpam-5614	419	8	panigrahi	panigrahi	NOUN
ejpam-5614	419	9	.	.	PUNCT
ejpam-5614	420	1	a	a	DET
ejpam-5614	420	2	graph	graph	NOUN
ejpam-5614	420	3	radio	radio	NOUN
ejpam-5614	420	4	k	k	ADJ
ejpam-5614	420	5	-	-	ADJ
ejpam-5614	420	6	coloring	color	VERB
ejpam-5614	420	7	algorithm	algorithm	NOUN
ejpam-5614	420	8	.	.	PUNCT
ejpam-5614	421	1	in	in	ADP
ejpam-5614	421	2	lecture	lecture	NOUN
ejpam-5614	421	3	notes	note	NOUN
ejpam-5614	421	4	in	in	ADP
ejpam-5614	421	5	computer	computer	NOUN
ejpam-5614	421	6	science	science	NOUN
ejpam-5614	421	7	,	,	PUNCT
ejpam-5614	421	8	volume	volume	NOUN
ejpam-5614	421	9	7643	7643	NUM
ejpam-5614	421	10	,	,	PUNCT
ejpam-5614	421	11	pages	page	NOUN
ejpam-5614	421	12	125–129	125–129	NUM
ejpam-5614	421	13	,	,	PUNCT
ejpam-5614	421	14	2012	2012	NUM
ejpam-5614	421	15	.	.	PUNCT
ejpam-5614	422	1	[	[	X
ejpam-5614	422	2	31	31	NUM
ejpam-5614	422	3	]	]	PUNCT
ejpam-5614	422	4	l.	l.	PROPN
ejpam-5614	422	5	saha	saha	PROPN
ejpam-5614	422	6	and	and	CCONJ
ejpam-5614	422	7	p.	p.	NOUN
ejpam-5614	422	8	panigrahi	panigrahi	NOUN
ejpam-5614	422	9	.	.	PUNCT
ejpam-5614	423	1	on	on	ADP
ejpam-5614	423	2	the	the	DET
ejpam-5614	423	3	radio	radio	NOUN
ejpam-5614	423	4	number	number	NOUN
ejpam-5614	423	5	of	of	ADP
ejpam-5614	423	6	toroidal	toroidal	ADJ
ejpam-5614	423	7	grids	grid	NOUN
ejpam-5614	423	8	.	.	PUNCT
ejpam-5614	424	1	australian	australian	ADJ
ejpam-5614	424	2	j.	j.	PROPN
ejpam-5614	424	3	combin	combin	PROPN
ejpam-5614	424	4	.	.	PROPN
ejpam-5614	424	5	,	,	PUNCT
ejpam-5614	424	6	55:273–288	55:273–288	NUM
ejpam-5614	424	7	,	,	PUNCT
ejpam-5614	424	8	2013	2013	NUM
ejpam-5614	424	9	.	.	PUNCT
ejpam-5614	425	1	[	[	X
ejpam-5614	425	2	32	32	NUM
ejpam-5614	425	3	]	]	PUNCT
ejpam-5614	425	4	l.	l.	PROPN
ejpam-5614	425	5	saha	saha	PROPN
ejpam-5614	425	6	and	and	CCONJ
ejpam-5614	425	7	p.	p.	NOUN
ejpam-5614	425	8	panigrahi	panigrahi	NOUN
ejpam-5614	425	9	.	.	PUNCT
ejpam-5614	426	1	a	a	DET
ejpam-5614	426	2	lower	lower	ADV
ejpam-5614	426	3	bound	bind	VERB
ejpam-5614	426	4	for	for	ADP
ejpam-5614	426	5	radio	radio	NOUN
ejpam-5614	426	6	k	k	ADJ
ejpam-5614	426	7	-	-	ADJ
ejpam-5614	426	8	chromatic	chromatic	ADJ
ejpam-5614	426	9	number	number	NOUN
ejpam-5614	426	10	.	.	PUNCT
ejpam-5614	427	1	discrete	discrete	ADJ
ejpam-5614	427	2	appl	appl	PROPN
ejpam-5614	427	3	.	.	PUNCT
ejpam-5614	427	4	math	math	PROPN
ejpam-5614	427	5	.	.	PUNCT
ejpam-5614	427	6	,	,	PUNCT
ejpam-5614	427	7	192:87–100	192:87–100	NUM
ejpam-5614	427	8	,	,	PUNCT
ejpam-5614	427	9	2015	2015	NUM
ejpam-5614	427	10	.	.	PUNCT
ejpam-5614	428	1	[	[	X
ejpam-5614	428	2	33	33	NUM
ejpam-5614	428	3	]	]	PUNCT
ejpam-5614	428	4	diaa	diaa	ADJ
ejpam-5614	428	5	salama	salama	NOUN
ejpam-5614	428	6	,	,	PUNCT
ejpam-5614	428	7	e.	e.	PROPN
ejpam-5614	428	8	badr	badr	PROPN
ejpam-5614	428	9	,	,	PUNCT
ejpam-5614	428	10	and	and	CCONJ
ejpam-5614	428	11	mostafa	mostafa	PROPN
ejpam-5614	428	12	farag	farag	PROPN
ejpam-5614	428	13	.	.	PUNCT
ejpam-5614	429	1	fhe	fhe	PROPN
ejpam-5614	429	2	-	-	PUNCT
ejpam-5614	429	3	chaos	chaos	NOUN
ejpam-5614	429	4	nhcp	nhcp	NOUN
ejpam-5614	429	5	:	:	PUNCT
ejpam-5614	429	6	developing	develop	VERB
ejpam-5614	429	7	a	a	DET
ejpam-5614	429	8	novel	novel	ADJ
ejpam-5614	429	9	secure	secure	ADJ
ejpam-5614	429	10	framework	framework	NOUN
ejpam-5614	429	11	for	for	ADP
ejpam-5614	429	12	cloud	cloud	NOUN
ejpam-5614	429	13	computing	computing	NOUN
ejpam-5614	429	14	environment	environment	NOUN
ejpam-5614	429	15	.	.	PUNCT
ejpam-5614	430	1	journal	journal	PROPN
ejpam-5614	430	2	of	of	ADP
ejpam-5614	430	3	computing	computing	NOUN
ejpam-5614	430	4	and	and	CCONJ
ejpam-5614	430	5	communication	communication	NOUN
ejpam-5614	430	6	,	,	PUNCT
ejpam-5614	430	7	1(1):12–26	1(1):12–26	NUM
ejpam-5614	430	8	,	,	PUNCT
ejpam-5614	430	9	2022	2022	NUM
ejpam-5614	430	10	.	.	PUNCT
ejpam-5614	431	1	[	[	X
ejpam-5614	431	2	34	34	NUM
ejpam-5614	431	3	]	]	PUNCT
ejpam-5614	431	4	m.	m.	NOUN
ejpam-5614	431	5	saraswathi	saraswathi	PROPN
ejpam-5614	431	6	and	and	CCONJ
ejpam-5614	431	7	k.	k.	PROPN
ejpam-5614	431	8	n.	n.	PROPN
ejpam-5614	431	9	meera	meera	PROPN
ejpam-5614	431	10	.	.	PUNCT
ejpam-5614	432	1	radio	radio	NOUN
ejpam-5614	432	2	mean	mean	VERB
ejpam-5614	432	3	labeled	label	VERB
ejpam-5614	432	4	paths	path	NOUN
ejpam-5614	432	5	in	in	ADP
ejpam-5614	432	6	cryptography	cryptography	NOUN
ejpam-5614	432	7	.	.	PUNCT
ejpam-5614	433	1	in	in	ADP
ejpam-5614	433	2	ieee	ieee	PROPN
ejpam-5614	433	3	4th	4th	ADJ
ejpam-5614	433	4	phd	phd	NOUN
ejpam-5614	433	5	colloquium	colloquium	NOUN
ejpam-5614	433	6	on	on	ADP
ejpam-5614	433	7	emerging	emerge	VERB
ejpam-5614	433	8	domain	domain	NOUN
ejpam-5614	433	9	innovation	innovation	NOUN
ejpam-5614	433	10	and	and	CCONJ
ejpam-5614	433	11	technology	technology	NOUN
ejpam-5614	433	12	for	for	ADP
ejpam-5614	433	13	society	society	NOUN
ejpam-5614	433	14	(	(	PUNCT
ejpam-5614	433	15	phd	phd	NOUN
ejpam-5614	433	16	edits	edit	VERB
ejpam-5614	433	17	)	)	PUNCT
ejpam-5614	433	18	,	,	PUNCT
ejpam-5614	433	19	2022	2022	NUM
ejpam-5614	433	20	.	.	PUNCT
ejpam-5614	434	1	[	[	X
ejpam-5614	434	2	35	35	NUM
ejpam-5614	434	3	]	]	X
ejpam-5614	434	4	h.	h.	PROPN
ejpam-5614	434	5	shabana	shabana	PROPN
ejpam-5614	434	6	,	,	PUNCT
ejpam-5614	434	7	r.	r.	PROPN
ejpam-5614	434	8	el	el	PROPN
ejpam-5614	434	9	-	-	NOUN
ejpam-5614	434	10	shanawany	shanawany	NOUN
ejpam-5614	434	11	,	,	PUNCT
ejpam-5614	434	12	and	and	CCONJ
ejpam-5614	434	13	s.	s.	PROPN
ejpam-5614	434	14	r.	r.	PROPN
ejpam-5614	434	15	halawa	halawa	PROPN
ejpam-5614	434	16	.	.	PUNCT
ejpam-5614	435	1	graph	graph	NOUN
ejpam-5614	435	2	design	design	NOUN
ejpam-5614	435	3	for	for	ADP
ejpam-5614	435	4	data	datum	NOUN
ejpam-5614	435	5	authentication	authentication	NOUN
ejpam-5614	435	6	over	over	ADP
ejpam-5614	435	7	insecure	insecure	ADJ
ejpam-5614	435	8	communication	communication	NOUN
ejpam-5614	435	9	channel	channel	NOUN
ejpam-5614	435	10	.	.	PUNCT
ejpam-5614	436	1	alexandria	alexandria	PROPN
ejpam-5614	436	2	engineering	engineering	PROPN
ejpam-5614	436	3	journal	journal	PROPN
ejpam-5614	436	4	,	,	PUNCT
ejpam-5614	436	5	75:649	75:649	NUM
ejpam-5614	436	6	–	–	PUNCT
ejpam-5614	436	7	662	662	NUM
ejpam-5614	436	8	,	,	PUNCT
ejpam-5614	436	9	2023	2023	NUM
ejpam-5614	436	10	.	.	PUNCT
ejpam-5614	437	1	[	[	X
ejpam-5614	437	2	36	36	NUM
ejpam-5614	437	3	]	]	X
ejpam-5614	437	4	h.	h.	PROPN
ejpam-5614	437	5	shabana	shabana	PROPN
ejpam-5614	437	6	,	,	PUNCT
ejpam-5614	437	7	r.	r.	PROPN
ejpam-5614	437	8	el	el	PROPN
ejpam-5614	437	9	-	-	NOUN
ejpam-5614	437	10	shanawany	shanawany	NOUN
ejpam-5614	437	11	,	,	PUNCT
ejpam-5614	437	12	and	and	CCONJ
ejpam-5614	437	13	s.	s.	PROPN
ejpam-5614	437	14	r.	r.	PROPN
ejpam-5614	437	15	halawa	halawa	PROPN
ejpam-5614	437	16	.	.	PUNCT
ejpam-5614	438	1	orthogonal	orthogonal	ADJ
ejpam-5614	438	2	decompositions	decomposition	NOUN
ejpam-5614	438	3	of	of	ADP
ejpam-5614	438	4	regular	regular	ADJ
ejpam-5614	438	5	graphs	graph	NOUN
ejpam-5614	438	6	and	and	CCONJ
ejpam-5614	438	7	designing	design	VERB
ejpam-5614	438	8	tree	tree	NOUN
ejpam-5614	438	9	-	-	PUNCT
ejpam-5614	438	10	hamming	ham	VERB
ejpam-5614	438	11	codes	code	NOUN
ejpam-5614	438	12	.	.	PUNCT
ejpam-5614	439	1	european	european	ADJ
ejpam-5614	439	2	journal	journal	PROPN
ejpam-5614	439	3	of	of	ADP
ejpam-5614	439	4	pure	pure	ADJ
ejpam-5614	439	5	and	and	CCONJ
ejpam-5614	439	6	applied	applied	ADJ
ejpam-5614	439	7	mathematics	mathematic	NOUN
ejpam-5614	439	8	,	,	PUNCT
ejpam-5614	439	9	17(4):3492–3516	17(4):3492–3516	NUM
ejpam-5614	439	10	,	,	PUNCT
ejpam-5614	439	11	2024	2024	NUM
ejpam-5614	439	12	.	.	PUNCT
ejpam-5614	440	1	[	[	X
ejpam-5614	440	2	37	37	NUM
ejpam-5614	440	3	]	]	X
ejpam-5614	440	4	h.	h.	PROPN
ejpam-5614	440	5	shabana	shabana	PROPN
ejpam-5614	440	6	and	and	CCONJ
ejpam-5614	440	7	m.	m.	NOUN
ejpam-5614	440	8	v.	v.	ADP
ejpam-5614	440	9	volkov	volkov	PROPN
ejpam-5614	440	10	.	.	PUNCT
ejpam-5614	441	1	careful	careful	ADJ
ejpam-5614	441	2	synchronization	synchronization	NOUN
ejpam-5614	441	3	of	of	ADP
ejpam-5614	441	4	partial	partial	ADJ
ejpam-5614	441	5	deterministic	deterministic	ADJ
ejpam-5614	441	6	finite	finite	ADJ
ejpam-5614	441	7	automata	automata	NOUN
ejpam-5614	441	8	.	.	PUNCT
ejpam-5614	442	1	acta	acta	PROPN
ejpam-5614	442	2	informatica	informatica	PROPN
ejpam-5614	442	3	,	,	PUNCT
ejpam-5614	442	4	59:479–504	59:479–504	PROPN
ejpam-5614	442	5	,	,	PUNCT
ejpam-5614	442	6	2022	2022	NUM
ejpam-5614	442	7	.	.	PUNCT
ejpam-5614	443	1	n.	n.	PROPN
ejpam-5614	443	2	m.	m.	PROPN
ejpam-5614	443	3	noureldeen	noureldeen	INTJ
ejpam-5614	443	4	et	et	PROPN
ejpam-5614	443	5	al	al	PROPN
ejpam-5614	443	6	.	.	PUNCT
ejpam-5614	443	7	/	/	SYM
ejpam-5614	443	8	eur	eur	PROPN
ejpam-5614	443	9	.	.	PUNCT
ejpam-5614	444	1	j.	j.	PROPN
ejpam-5614	444	2	pure	pure	PROPN
ejpam-5614	444	3	appl	appl	PROPN
ejpam-5614	444	4	.	.	PROPN
ejpam-5614	444	5	math	math	PROPN
ejpam-5614	444	6	,	,	PUNCT
ejpam-5614	444	7	18	18	NUM
ejpam-5614	444	8	(	(	PUNCT
ejpam-5614	444	9	1	1	NUM
ejpam-5614	444	10	)	)	PUNCT
ejpam-5614	444	11	(	(	PUNCT
ejpam-5614	444	12	2025	2025	NUM
ejpam-5614	444	13	)	)	PUNCT
ejpam-5614	444	14	,	,	PUNCT
ejpam-5614	444	15	5614	5614	NUM
ejpam-5614	444	16	18	18	NUM
ejpam-5614	444	17	of	of	ADP
ejpam-5614	444	18	18	18	NUM
ejpam-5614	444	19	[	[	SYM
ejpam-5614	444	20	38	38	NUM
ejpam-5614	444	21	]	]	PUNCT
ejpam-5614	444	22	g.	g.	PROPN
ejpam-5614	444	23	s.	s.	PROPN
ejpam-5614	444	24	singh	singh	PROPN
ejpam-5614	444	25	.	.	PUNCT
ejpam-5614	445	1	a	a	DET
ejpam-5614	445	2	note	note	NOUN
ejpam-5614	445	3	on	on	ADP
ejpam-5614	445	4	graceful	graceful	ADJ
ejpam-5614	445	5	prisms	prism	NOUN
ejpam-5614	445	6	.	.	PUNCT
ejpam-5614	446	1	national	national	PROPN
ejpam-5614	446	2	academy	academy	PROPN
ejpam-5614	446	3	of	of	ADP
ejpam-5614	446	4	sciences	sciences	PROPN
ejpam-5614	446	5	letters	letter	NOUN
ejpam-5614	446	6	,	,	PUNCT
ejpam-5614	446	7	15:193–194	15:193–194	NUM
ejpam-5614	446	8	,	,	PUNCT
ejpam-5614	446	9	1992	1992	NUM
ejpam-5614	446	10	.	.	PUNCT
ejpam-5614	447	1	[	[	X
ejpam-5614	447	2	39	39	NUM
ejpam-5614	447	3	]	]	PUNCT
ejpam-5614	447	4	p.	p.	PROPN
ejpam-5614	447	5	zhang	zhang	PROPN
ejpam-5614	447	6	.	.	PUNCT
ejpam-5614	448	1	radio	radio	NOUN
ejpam-5614	448	2	labellings	labelling	NOUN
ejpam-5614	448	3	of	of	ADP
ejpam-5614	448	4	cycles	cycle	NOUN
ejpam-5614	448	5	.	.	PUNCT
ejpam-5614	449	1	ars	ars	PROPN
ejpam-5614	449	2	combin	combin	PROPN
ejpam-5614	449	3	.	.	PUNCT
ejpam-5614	450	1	,	,	PUNCT
ejpam-5614	450	2	65:21–32	65:21–32	NUM
ejpam-5614	450	3	,	,	PUNCT
ejpam-5614	450	4	2002	2002	NUM
ejpam-5614	450	5	.	.	PUNCT