id	sid	eid	entity	type
ejpam-5614	1	1	european journal	ORG
ejpam-5614	1	2	2025	DATE
ejpam-5614	1	3	18	CARDINAL
ejpam-5614	1	4	1	CARDINAL
ejpam-5614	1	5	5614	CARDINAL
ejpam-5614	1	6	1307-5543	DATE
ejpam-5614	1	7	new york	GPE
ejpam-5614	1	8	m. noureldeen1,2	PERSON
ejpam-5614	1	9	elsayed badr3,4,5	PERSON
ejpam-5614	1	10	ismail m.	PERSON
ejpam-5614	2	1	hanan	PERSON
ejpam-5614	2	2	1	CARDINAL
ejpam-5614	2	3	saudi arabia	GPE
ejpam-5614	2	4	2	CARDINAL
ejpam-5614	2	5	ain shams university	ORG
ejpam-5614	2	6	egypt 3	ORG
ejpam-5614	2	7	egypt	GPE
ejpam-5614	2	8	4	CARDINAL
ejpam-5614	2	9	egyptian	NORP
ejpam-5614	2	10	egypt 5	ORG
ejpam-5614	2	11	department of computer science	ORG
ejpam-5614	2	12	misr university for science and technology	ORG
ejpam-5614	2	13	giza	PERSON
ejpam-5614	2	14	egypt 6	ORG
ejpam-5614	2	15	information systems department	ORG
ejpam-5614	2	16	el madina	ORG
ejpam-5614	2	17	institute of administration	ORG
ejpam-5614	2	18	egypt 7	ORG
ejpam-5614	2	19	menoufia university	ORG
ejpam-5614	2	20	menouf	GPE
ejpam-5614	2	21	32952	DATE
ejpam-5614	2	22	egypt	GPE
ejpam-5614	6	1	panigrahi	GPE
ejpam-5614	6	2	2012	DATE
ejpam-5614	7	1	badr	GPE
ejpam-5614	7	2	mousa(2019	GPE
ejpam-5614	11	1	2020	DATE
ejpam-5614	11	2	94a60	CARDINAL
ejpam-5614	11	3	94a62	CARDINAL
ejpam-5614	11	4	05b30	CARDINAL
ejpam-5614	11	5	0570	CARDINAL
ejpam-5614	13	1	n. m. noureldeen	PERSON
ejpam-5614	13	2	e. badr	PERSON
ejpam-5614	13	3	i. m. hagag	PERSON
ejpam-5614	13	4	h. shabana	PERSON
ejpam-5614	14	1	1	CARDINAL
ejpam-5614	14	2	2025	CARDINAL
ejpam-5614	15	1	n. m. noureldeen et al	PERSON
ejpam-5614	16	1	j. pure	PERSON
ejpam-5614	16	2	18	CARDINAL
ejpam-5614	16	3	1	CARDINAL
ejpam-5614	16	4	2025	CARDINAL
ejpam-5614	16	5	5614 2	DATE
ejpam-5614	16	6	18 1	CARDINAL
ejpam-5614	23	1	two	CARDINAL
ejpam-5614	30	1	griggs	PERSON
ejpam-5614	30	2	yeh	PERSON
ejpam-5614	31	1	17	CARDINAL
ejpam-5614	31	2	first	ORDINAL
ejpam-5614	31	3	l(2	ORG
ejpam-5614	31	4	1	CARDINAL
ejpam-5614	31	5	two	CARDINAL
ejpam-5614	32	1	l(2	ORG
ejpam-5614	32	2	1	CARDINAL
ejpam-5614	33	1	0	CARDINAL
ejpam-5614	33	2	two	CARDINAL
ejpam-5614	33	3	1	CARDINAL
ejpam-5614	34	1	2	CARDINAL
ejpam-5614	34	2	2	CARDINAL
ejpam-5614	35	1	1	CARDINAL
ejpam-5614	36	1	2001	DATE
ejpam-5614	36	2	chartrand et al	PERSON
ejpam-5614	37	1	11	CARDINAL
ejpam-5614	37	2	l(2	ORG
ejpam-5614	38	1	l(v)| ≥	DATE
ejpam-5614	39	1	+ 1	CARDINAL
ejpam-5614	39	2	− d(u	PERSON
ejpam-5614	39	3	∈	ORG
ejpam-5614	39	4	d(u	PERSON
ejpam-5614	42	1	19	CARDINAL
ejpam-5614	43	1	30	CARDINAL
ejpam-5614	44	1	n. m. noureldeen et al	PERSON
ejpam-5614	45	1	j. pure	PERSON
ejpam-5614	45	2	18	CARDINAL
ejpam-5614	45	3	1	CARDINAL
ejpam-5614	45	4	2025	CARDINAL
ejpam-5614	45	5	5614 3	DATE
ejpam-5614	45	6	18	CARDINAL
ejpam-5614	45	7	moussa	PERSON
ejpam-5614	46	1	6	CARDINAL
ejpam-5614	47	1	4	CARDINAL
ejpam-5614	47	2	5	DATE
ejpam-5614	47	3	20–25	CARDINAL
ejpam-5614	47	4	27	DATE
ejpam-5614	47	5	28	DATE
ejpam-5614	47	6	31	DATE
ejpam-5614	47	7	32	DATE
ejpam-5614	47	8	39	CARDINAL
ejpam-5614	48	1	1–3	CARDINAL
ejpam-5614	48	2	13	CARDINAL
ejpam-5614	48	3	16	CARDINAL
ejpam-5614	48	4	29	DATE
ejpam-5614	48	5	37	DATE
ejpam-5614	48	6	38	CARDINAL
ejpam-5614	49	1	12	CARDINAL
ejpam-5614	49	2	26	DATE
ejpam-5614	50	1	2	CARDINAL
ejpam-5614	52	1	first	ORDINAL
ejpam-5614	52	2	zero	CARDINAL
ejpam-5614	53	1	30	CARDINAL
ejpam-5614	53	2	zero	CARDINAL
ejpam-5614	54	1	zero	CARDINAL
ejpam-5614	55	1	zero	CARDINAL
ejpam-5614	56	1	badr algorithm	ORG
ejpam-5614	59	1	panigrahi	PERSON
ejpam-5614	59	2	30	CARDINAL
ejpam-5614	60	1	badr	GPE
ejpam-5614	61	1	6	CARDINAL
ejpam-5614	64	1	section 2	LAW
ejpam-5614	65	1	section 3	LAW
ejpam-5614	66	1	section 4	LAW
ejpam-5614	67	1	section 5	DATE
ejpam-5614	67	2	2	CARDINAL
ejpam-5614	68	1	1	CARDINAL
ejpam-5614	69	1	zero	CARDINAL
ejpam-5614	70	1	2012	DATE
ejpam-5614	70	2	saha	PERSON
ejpam-5614	70	3	panigrahi	PERSON
ejpam-5614	70	4	30	CARDINAL
ejpam-5614	71	1	zero	CARDINAL
ejpam-5614	71	2	n. m. noureldeen et al	PERSON
ejpam-5614	72	1	j. pure	PERSON
ejpam-5614	72	2	18	CARDINAL
ejpam-5614	72	3	1	CARDINAL
ejpam-5614	72	4	2025	CARDINAL
ejpam-5614	72	5	5614 4	DATE
ejpam-5614	72	6	18	DATE
ejpam-5614	72	7	first	ORDINAL
ejpam-5614	72	8	badr	GPE
ejpam-5614	72	9	moussa	PERSON
ejpam-5614	73	1	6	CARDINAL
ejpam-5614	74	1	30	CARDINAL
ejpam-5614	75	1	6	CARDINAL
ejpam-5614	75	2	zero	CARDINAL
ejpam-5614	75	3	one	CARDINAL
ejpam-5614	76	1	1	CARDINAL
ejpam-5614	76	2	zero	CARDINAL
ejpam-5614	76	3	laxman saha	PERSON
ejpam-5614	77	1	30	CARDINAL
ejpam-5614	78	1	2	CARDINAL
ejpam-5614	78	2	zero	CARDINAL
ejpam-5614	78	3	x4	PERSON
ejpam-5614	78	4	badr	PERSON
ejpam-5614	79	1	6	CARDINAL
ejpam-5614	80	1	3	CARDINAL
ejpam-5614	80	2	zero	CARDINAL
ejpam-5614	80	3	1	CARDINAL
ejpam-5614	80	4	panigrahi	PERSON
ejpam-5614	80	5	zero	CARDINAL
ejpam-5614	80	6	first	ORDINAL
ejpam-5614	80	7	2	CARDINAL
ejpam-5614	80	8	badr	PERSON
ejpam-5614	80	9	moussa	PERSON
ejpam-5614	80	10	zero	CARDINAL
ejpam-5614	80	11	one	CARDINAL
ejpam-5614	81	1	3	CARDINAL
ejpam-5614	81	2	zero	CARDINAL
ejpam-5614	81	3	section 2.1	LAW
ejpam-5614	81	4	2.1	CARDINAL
ejpam-5614	83	1	∈	ORG
ejpam-5614	84	1	∑ v∈v	PERSON
ejpam-5614	84	2	d(u	PERSON
ejpam-5614	85	1	∀u ∈	ORG
ejpam-5614	86	1	n. m. noureldeen	PERSON
ejpam-5614	88	1	j. pure	PERSON
ejpam-5614	88	2	18	CARDINAL
ejpam-5614	88	3	1	CARDINAL
ejpam-5614	88	4	2025	CARDINAL
ejpam-5614	88	5	5614 5	DATE
ejpam-5614	88	6	18	CARDINAL
ejpam-5614	91	1	0 ≤ j ≤ n−	QUANTITY
ejpam-5614	91	2	2	CARDINAL
ejpam-5614	92	1	l (vj+1)− l	ORG
ejpam-5614	98	1	0 ≤ j ≤ n−	QUANTITY
ejpam-5614	98	2	2	CARDINAL
ejpam-5614	98	3	+ 1	DATE
ejpam-5614	101	1	0 ≤ j ≤ n−	QUANTITY
ejpam-5614	101	2	2	CARDINAL
ejpam-5614	102	1	0 ≤	MONEY
ejpam-5614	102	2	2	CARDINAL
ejpam-5614	106	1	0	CARDINAL
ejpam-5614	111	1	∈	ORG
ejpam-5614	113	1	max	PERSON
ejpam-5614	120	1	max	PERSON
ejpam-5614	125	1	1	CARDINAL
ejpam-5614	125	2	l(u	ORG
ejpam-5614	125	3	1	CARDINAL
ejpam-5614	127	1	n. m. noureldeen et al	PERSON
ejpam-5614	128	1	j. pure	PERSON
ejpam-5614	128	2	18	CARDINAL
ejpam-5614	128	3	1	CARDINAL
ejpam-5614	128	4	2025	CARDINAL
ejpam-5614	128	5	5614 6	DATE
ejpam-5614	128	6	18	CARDINAL
ejpam-5614	128	7	1	CARDINAL
ejpam-5614	129	1	1	CARDINAL
ejpam-5614	130	1	∑ v∈v	PERSON
ejpam-5614	130	2	d(u	PERSON
ejpam-5614	131	1	2	CARDINAL
ejpam-5614	131	2	min1 = minu∈v	PERSON
ejpam-5614	131	3	3	CARDINAL
ejpam-5614	131	4	∈	ORG
ejpam-5614	131	5	min1 4	ORG
ejpam-5614	132	1	0	CARDINAL
ejpam-5614	133	1	5	CARDINAL
ejpam-5614	134	1	6	CARDINAL
ejpam-5614	134	2	∈	ORG
ejpam-5614	135	1	7	CARDINAL
ejpam-5614	135	2	8	CARDINAL
ejpam-5614	135	3	∈	ORG
ejpam-5614	135	4	9	CARDINAL
ejpam-5614	135	5	10	CARDINAL
ejpam-5614	136	1	11	CARDINAL
ejpam-5614	136	2	6	CARDINAL
ejpam-5614	136	3	10	CARDINAL
ejpam-5614	139	1	1	CARDINAL
ejpam-5614	139	2	1	CARDINAL
ejpam-5614	140	1	1	CARDINAL
ejpam-5614	142	1	r.	NORP
ejpam-5614	142	2	1	CARDINAL
ejpam-5614	144	1	1	CARDINAL
ejpam-5614	147	1	ur+1)− l	ORG
ejpam-5614	147	2	d+1− d(ur+1	GPE
ejpam-5614	147	3	1	CARDINAL
ejpam-5614	147	4	1	CARDINAL
ejpam-5614	148	1	1	CARDINAL
ejpam-5614	149	1	2	CARDINAL
ejpam-5614	149	2	3	CARDINAL
ejpam-5614	150	1	4	CARDINAL
ejpam-5614	151	1	6	CARDINAL
ejpam-5614	153	1	7	CARDINAL
ejpam-5614	153	2	8	DATE
ejpam-5614	154	1	9	CARDINAL
ejpam-5614	154	2	one	CARDINAL
ejpam-5614	154	3	2	CARDINAL
ejpam-5614	155	1	11	CARDINAL
ejpam-5614	156	1	5o(n)+	CARDINAL
ejpam-5614	157	1	+ o	DATE
ejpam-5614	158	1	+o	DATE
ejpam-5614	158	2	n. m. noureldeen	PERSON
ejpam-5614	159	1	j. pure	PERSON
ejpam-5614	159	2	18	CARDINAL
ejpam-5614	159	3	1	CARDINAL
ejpam-5614	159	4	2025	CARDINAL
ejpam-5614	159	5	5614 7	DATE
ejpam-5614	159	6	18 2.2	CARDINAL
ejpam-5614	161	1	19	CARDINAL
ejpam-5614	162	1	un	ORG
ejpam-5614	163	1	1 ≤	QUANTITY
ejpam-5614	163	2	vi	PERSON
ejpam-5614	163	3	1 ≤	QUANTITY
ejpam-5614	165	1	minf = v1 + v2 + ·	PERSON
ejpam-5614	166	1	|vi −	PERSON
ejpam-5614	168	1	1 ≤	QUANTITY
ejpam-5614	169	1	1	CARDINAL
ejpam-5614	169	2	2 ≤	MONEY
ejpam-5614	169	3	0	CARDINAL
ejpam-5614	169	4	1	DATE
ejpam-5614	169	5	2	CARDINAL
ejpam-5614	171	1	{vi} .	PERSON
ejpam-5614	172	1	3	CARDINAL
ejpam-5614	173	1	4,k	PRODUCT
ejpam-5614	173	2	∆k	GPE
ejpam-5614	174	1	3.11	CARDINAL
ejpam-5614	174	2	8	CARDINAL
ejpam-5614	174	3	7	CARDINAL
ejpam-5614	174	4	8	CARDINAL
ejpam-5614	174	5	1-8	CARDINAL
ejpam-5614	174	6	ub2	PERSON
ejpam-5614	174	7	ub3	ORG
ejpam-5614	174	8	panigrahi	PERSON
ejpam-5614	174	9	30	CARDINAL
ejpam-5614	174	10	badr	PERSON
ejpam-5614	174	11	moussa	PERSON
ejpam-5614	175	1	6	CARDINAL
ejpam-5614	175	2	1	CARDINAL
ejpam-5614	176	1	1	CARDINAL
ejpam-5614	178	1	∆k	GPE
ejpam-5614	179	1	4	CARDINAL
ejpam-5614	179	2	∆k	GPE
ejpam-5614	180	1	4	CARDINAL
ejpam-5614	180	2	∆k	GPE
ejpam-5614	180	3	2	CARDINAL
ejpam-5614	181	1	one	CARDINAL
ejpam-5614	182	1	5	CARDINAL
ejpam-5614	183	1	n. m. noureldeen et al	PERSON
ejpam-5614	184	1	j. pure	PERSON
ejpam-5614	184	2	18	CARDINAL
ejpam-5614	184	3	1	CARDINAL
ejpam-5614	184	4	2025	CARDINAL
ejpam-5614	184	5	5614 8	DATE
ejpam-5614	184	6	18	CARDINAL
ejpam-5614	184	7	3	CARDINAL
ejpam-5614	185	1	integer k	PERSON
ejpam-5614	186	1	6	CARDINAL
ejpam-5614	187	1	4	DATE
ejpam-5614	188	1	integer k	PERSON
ejpam-5614	188	2	p3,k	PERSON
ejpam-5614	188	3	3k	CARDINAL
ejpam-5614	188	4	4k	CARDINAL
ejpam-5614	189	1	1	CARDINAL
ejpam-5614	190	1	k vertices	ORG
ejpam-5614	191	1	7	CARDINAL
ejpam-5614	191	2	5	CARDINAL
ejpam-5614	191	3	f4,k	PERSON
ejpam-5614	191	4	6	CARDINAL
ejpam-5614	191	5	n. m.	PERSON
ejpam-5614	193	1	j. pure	PERSON
ejpam-5614	193	2	18	CARDINAL
ejpam-5614	193	3	1	CARDINAL
ejpam-5614	193	4	2025	CARDINAL
ejpam-5614	193	5	5614 9	DATE
ejpam-5614	193	6	18	CARDINAL
ejpam-5614	193	7	7	CARDINAL
ejpam-5614	194	1	1-8	CARDINAL
ejpam-5614	194	2	four	CARDINAL
ejpam-5614	194	3	ub2	PERSON
ejpam-5614	194	4	ub3	ORG
ejpam-5614	194	5	f4,k	LANGUAGE
ejpam-5614	194	6	f5,k	PRODUCT
ejpam-5614	195	1	first	ORDINAL
ejpam-5614	195	2	1	CARDINAL
ejpam-5614	195	3	2	CARDINAL
ejpam-5614	195	4	second	ORDINAL
ejpam-5614	195	5	3-8)	CARDINAL
ejpam-5614	195	6	second	ORDINAL
ejpam-5614	195	7	1	CARDINAL
ejpam-5614	195	8	2	CARDINAL
ejpam-5614	195	9	third	ORDINAL
ejpam-5614	195	10	3-8)	CARDINAL
ejpam-5614	196	1	ub2	PERSON
ejpam-5614	197	1	ub3	ORG
ejpam-5614	199	1	1	CARDINAL
ejpam-5614	199	2	ub2	PERSON
ejpam-5614	199	3	ub3	ORG
ejpam-5614	199	4	ub1 ub2	PERSON
ejpam-5614	199	5	ub3	ORG
ejpam-5614	199	6	1	CARDINAL
ejpam-5614	200	1	0.000033 2 1 0.000083 1 0.000454 1 0.000015 1	QUANTITY
ejpam-5614	200	2	3	CARDINAL
ejpam-5614	200	3	22	CARDINAL
ejpam-5614	200	4	0.001666 81	MONEY
ejpam-5614	200	5	66	CARDINAL
ejpam-5614	200	6	1202	DATE
ejpam-5614	200	7	1202	DATE
ejpam-5614	200	8	0.062123	PRODUCT
ejpam-5614	200	9	1	CARDINAL
ejpam-5614	201	1	ub2	PERSON
ejpam-5614	201	2	12	CARDINAL
ejpam-5614	202	1	13	CARDINAL
ejpam-5614	202	2	ub2	PERSON
ejpam-5614	204	1	0	CARDINAL
ejpam-5614	206	1	ub1	PERSON
ejpam-5614	206	2	n. m. noureldeen	PERSON
ejpam-5614	207	1	j. pure	PERSON
ejpam-5614	207	2	18	CARDINAL
ejpam-5614	207	3	1	CARDINAL
ejpam-5614	207	4	2025	CARDINAL
ejpam-5614	207	5	5614 10	DATE
ejpam-5614	207	6	18	CARDINAL
ejpam-5614	207	7	ub2	PERSON
ejpam-5614	207	8	ub3	ORG
ejpam-5614	213	1	2	CARDINAL
ejpam-5614	213	2	ub2,ub3	ORG
ejpam-5614	213	3	ub3	ORG
ejpam-5614	213	4	1	CARDINAL
ejpam-5614	214	1	0.0000251 1 0.0000362	MONEY
ejpam-5614	214	2	4	CARDINAL
ejpam-5614	214	3	17	CARDINAL
ejpam-5614	214	4	20	CARDINAL
ejpam-5614	214	5	0.002863	CARDINAL
ejpam-5614	214	6	0.0014649 31	DATE
ejpam-5614	214	7	0.062002	PRODUCT
ejpam-5614	214	8	2	CARDINAL
ejpam-5614	215	1	ub2	PERSON
ejpam-5614	215	2	12	CARDINAL
ejpam-5614	216	1	13	CARDINAL
ejpam-5614	216	2	ub2	PERSON
ejpam-5614	218	1	3-5	CARDINAL
ejpam-5614	219	1	4,k	MONEY
ejpam-5614	220	1	ub2	PERSON
ejpam-5614	220	2	12	CARDINAL
ejpam-5614	221	1	3,k	CARDINAL
ejpam-5614	221	2	3	CARDINAL
ejpam-5614	221	3	3	CARDINAL
ejpam-5614	221	4	5	DATE
ejpam-5614	221	5	7	DATE
ejpam-5614	221	6	4,k	MONEY
ejpam-5614	221	7	3	CARDINAL
ejpam-5614	221	8	2	CARDINAL
ejpam-5614	223	1	3	CARDINAL
ejpam-5614	223	2	ub2	PERSON
ejpam-5614	223	3	ub3	ORG
ejpam-5614	223	4	3,k	CARDINAL
ejpam-5614	224	1	ub3	ORG
ejpam-5614	224	2	1 3 2	QUANTITY
ejpam-5614	224	3	13	CARDINAL
ejpam-5614	224	4	0.011044 27	MONEY
ejpam-5614	224	5	29	CARDINAL
ejpam-5614	225	1	j. pure	PERSON
ejpam-5614	225	2	18	CARDINAL
ejpam-5614	225	3	1	CARDINAL
ejpam-5614	225	4	2025	CARDINAL
ejpam-5614	225	5	5614 11	DATE
ejpam-5614	225	6	18	CARDINAL
ejpam-5614	225	7	4	CARDINAL
ejpam-5614	225	8	ub2	PERSON
ejpam-5614	225	9	ub3	ORG
ejpam-5614	226	1	ub3	ORG
ejpam-5614	226	2	1 3	CARDINAL
ejpam-5614	226	3	16	CARDINAL
ejpam-5614	226	4	22	CARDINAL
ejpam-5614	226	5	0.001321 23	MONEY
ejpam-5614	226	6	0.006385	ORG
ejpam-5614	227	1	64	CARDINAL
ejpam-5614	227	2	0.01666 71	MONEY
ejpam-5614	227	3	0.011591	CARDINAL
ejpam-5614	227	4	27	CARDINAL
ejpam-5614	227	5	0.174968	ORG
ejpam-5614	227	6	0.025987	CARDINAL
ejpam-5614	227	7	99	CARDINAL
ejpam-5614	227	8	352	CARDINAL
ejpam-5614	227	9	1.882827	ORG
ejpam-5614	227	10	5	CARDINAL
ejpam-5614	227	11	ub2	PERSON
ejpam-5614	227	12	ub3	ORG
ejpam-5614	228	1	5,k	CARDINAL
ejpam-5614	228	2	k n ub1 ub2	PERSON
ejpam-5614	228	3	ub3	ORG
ejpam-5614	228	4	18	CARDINAL
ejpam-5614	228	5	18	CARDINAL
ejpam-5614	228	6	0.000315	CARDINAL
ejpam-5614	228	7	41	CARDINAL
ejpam-5614	228	8	0.008805	CARDINAL
ejpam-5614	228	9	0.013459 57	LAW
ejpam-5614	228	10	89	CARDINAL
ejpam-5614	228	11	105	CARDINAL
ejpam-5614	228	12	113	CARDINAL
ejpam-5614	228	13	201	CARDINAL
ejpam-5614	228	14	552	CARDINAL
ejpam-5614	228	15	4.072021	CARDINAL
ejpam-5614	228	16	6	CARDINAL
ejpam-5614	228	17	7	CARDINAL
ejpam-5614	229	1	ub2	PERSON
ejpam-5614	229	2	12	CARDINAL
ejpam-5614	230	1	6	CARDINAL
ejpam-5614	231	1	7	CARDINAL
ejpam-5614	231	2	2	CARDINAL
ejpam-5614	231	3	5	DATE
ejpam-5614	231	4	7	DATE
ejpam-5614	231	5	13	DATE
ejpam-5614	233	1	6	CARDINAL
ejpam-5614	233	2	ub2	PERSON
ejpam-5614	233	3	ub3	ORG
ejpam-5614	233	4	∆k k n ub1 ub2	PERSON
ejpam-5614	233	5	ub3	ORG
ejpam-5614	233	6	1 3	QUANTITY
ejpam-5614	234	1	12	CARDINAL
ejpam-5614	235	1	39	CARDINAL
ejpam-5614	235	2	0.001379	CARDINAL
ejpam-5614	235	3	15	CARDINAL
ejpam-5614	235	4	56	CARDINAL
ejpam-5614	235	5	105	CARDINAL
ejpam-5614	235	6	0.005461 101	PRODUCT
ejpam-5614	235	7	182	CARDINAL
ejpam-5614	235	8	0.010933 174	QUANTITY
ejpam-5614	235	9	203	CARDINAL
ejpam-5614	235	10	4902	DATE
ejpam-5614	235	11	n. m. noureldeen et al	PERSON
ejpam-5614	236	1	j. pure	PERSON
ejpam-5614	236	2	18	CARDINAL
ejpam-5614	236	3	1	CARDINAL
ejpam-5614	236	4	2025	CARDINAL
ejpam-5614	236	5	5614 12	DATE
ejpam-5614	236	6	18	CARDINAL
ejpam-5614	236	7	7	CARDINAL
ejpam-5614	236	8	ub2	PERSON
ejpam-5614	236	9	ub3	ORG
ejpam-5614	236	10	g= kc4	PERSON
ejpam-5614	236	11	k n	FAC
ejpam-5614	236	12	ub3	ORG
ejpam-5614	236	13	4	CARDINAL
ejpam-5614	236	14	17	CARDINAL
ejpam-5614	236	15	0.000686 31	MONEY
ejpam-5614	237	1	0.006906 122 0.001308 85	PRODUCT
ejpam-5614	237	2	122	CARDINAL
ejpam-5614	237	3	22	CARDINAL
ejpam-5614	237	4	0.017645 252	MONEY
ejpam-5614	237	5	266	CARDINAL
ejpam-5614	237	6	0.035349 469	MONEY
ejpam-5614	237	7	325	CARDINAL
ejpam-5614	237	8	389	CARDINAL
ejpam-5614	237	9	0.081115 787	MONEY
ejpam-5614	237	10	538	CARDINAL
ejpam-5614	237	11	0.034988 527	MONEY
ejpam-5614	237	12	622	CARDINAL
ejpam-5614	237	13	7576	DATE
ejpam-5614	237	14	7576	DATE
ejpam-5614	237	15	1.765682	CARDINAL
ejpam-5614	237	16	8	CARDINAL
ejpam-5614	238	1	ub2	PERSON
ejpam-5614	238	2	12	CARDINAL
ejpam-5614	239	1	p3,k	ORG
ejpam-5614	239	2	8	CARDINAL
ejpam-5614	241	1	8	CARDINAL
ejpam-5614	241	2	ub2	PERSON
ejpam-5614	241	3	ub3	ORG
ejpam-5614	241	4	k n	PERSON
ejpam-5614	241	5	ub3	ORG
ejpam-5614	241	6	17	CARDINAL
ejpam-5614	245	1	0.0005294	CARDINAL
ejpam-5614	245	2	0.0007928	ORG
ejpam-5614	245	3	0.005314 8 24	TIME
ejpam-5614	245	4	137	CARDINAL
ejpam-5614	245	5	0.032466 236	MONEY
ejpam-5614	245	6	0.0019276	CARDINAL
ejpam-5614	245	7	0.043037 292	MONEY
ejpam-5614	245	8	354	CARDINAL
ejpam-5614	245	9	0.019228 12	MONEY
ejpam-5614	245	10	277	CARDINAL
ejpam-5614	245	11	0.033481 274	MONEY
ejpam-5614	245	12	317	CARDINAL
ejpam-5614	245	13	1.840115 3801 5.127259 7452	MONEY
ejpam-5614	245	14	3801	DATE
ejpam-5614	245	15	1	CARDINAL
ejpam-5614	247	1	4.1	CARDINAL
ejpam-5614	248	1	english	NORP
ejpam-5614	249	1	1	CARDINAL
ejpam-5614	249	2	2	DATE
ejpam-5614	249	3	26	CARDINAL
ejpam-5614	250	1	0	CARDINAL
ejpam-5614	252	1	n. m. noureldeen	PERSON
ejpam-5614	253	1	j. pure	PERSON
ejpam-5614	253	2	18	CARDINAL
ejpam-5614	253	3	1	CARDINAL
ejpam-5614	253	4	2025	CARDINAL
ejpam-5614	253	5	5614 13	DATE
ejpam-5614	253	6	18	CARDINAL
ejpam-5614	254	1	k.	PERSON
ejpam-5614	254	2	p3,k	PERSON
ejpam-5614	255	1	1	CARDINAL
ejpam-5614	255	2	p3,k	ORG
ejpam-5614	256	1	2x2	CARDINAL
ejpam-5614	256	2	2	CARDINAL
ejpam-5614	256	3	3	CARDINAL
ejpam-5614	257	1	0	CARDINAL
ejpam-5614	259	1	1 2	CARDINAL
ejpam-5614	259	2	1	CARDINAL
ejpam-5614	259	3	2	CARDINAL
ejpam-5614	259	4	27 4.2	CARDINAL
ejpam-5614	262	1	1.consider	CARDINAL
ejpam-5614	262	2	p3,k	ORG
ejpam-5614	263	1	2.use	CARDINAL
ejpam-5614	263	2	1	CARDINAL
ejpam-5614	263	3	p3,k	ORG
ejpam-5614	263	4	3	CARDINAL
ejpam-5614	264	1	1	CARDINAL
ejpam-5614	264	2	p3,k	PERSON
ejpam-5614	266	1	2 α−	TIME
ejpam-5614	266	2	3 α	TIME
ejpam-5614	266	3	27	CARDINAL
ejpam-5614	266	4	4	CARDINAL
ejpam-5614	267	1	5	CARDINAL
ejpam-5614	268	1	0	CARDINAL
ejpam-5614	269	1	6	CARDINAL
ejpam-5614	270	1	x′	DATE
ejpam-5614	270	2	27	CARDINAL
ejpam-5614	271	1	7	CARDINAL
ejpam-5614	271	2	english	NORP
ejpam-5614	272	1	8	CARDINAL
ejpam-5614	272	2	0	CARDINAL
ejpam-5614	272	3	1	CARDINAL
ejpam-5614	272	4	7	CARDINAL
ejpam-5614	272	5	0	CARDINAL
ejpam-5614	272	6	1	CARDINAL
ejpam-5614	273	1	n. m. noureldeen	PERSON
ejpam-5614	274	1	j. pure	PERSON
ejpam-5614	274	2	18	CARDINAL
ejpam-5614	274	3	1	CARDINAL
ejpam-5614	274	4	2025	CARDINAL
ejpam-5614	274	5	5614 14	DATE
ejpam-5614	274	6	18	CARDINAL
ejpam-5614	276	1	1	CARDINAL
ejpam-5614	277	1	0	DATE
ejpam-5614	278	1	1	CARDINAL
ejpam-5614	279	1	1	CARDINAL
ejpam-5614	279	2	1	CARDINAL
ejpam-5614	280	1	2	CARDINAL
ejpam-5614	280	2	1 2	CARDINAL
ejpam-5614	280	3	1 3−	DATE
ejpam-5614	280	4	2	CARDINAL
ejpam-5614	280	5	27	CARDINAL
ejpam-5614	281	1	3	CARDINAL
ejpam-5614	281	2	4	CARDINAL
ejpam-5614	282	1	x′	DATE
ejpam-5614	283	1	27	CARDINAL
ejpam-5614	284	1	5	CARDINAL
ejpam-5614	284	2	english	NORP
ejpam-5614	286	1	1	CARDINAL
ejpam-5614	287	1	1	CARDINAL
ejpam-5614	288	1	3	CARDINAL
ejpam-5614	288	2	1	CARDINAL
ejpam-5614	288	3	p3,3	ORG
ejpam-5614	289	1	2	CARDINAL
ejpam-5614	289	2	k=3	PERSON
ejpam-5614	289	3	ub3	ORG
ejpam-5614	289	4	p3,3	ORG
ejpam-5614	289	5	17	CARDINAL
ejpam-5614	290	1	15	CARDINAL
ejpam-5614	291	1	3	CARDINAL
ejpam-5614	292	1	16	CARDINAL
ejpam-5614	292	2	1	DATE
ejpam-5614	292	3	18	DATE
ejpam-5614	292	4	4	CARDINAL
ejpam-5614	292	5	18,0	CARDINAL
ejpam-5614	293	1	5	CARDINAL
ejpam-5614	293	2	16	CARDINAL
ejpam-5614	293	3	1	CARDINAL
ejpam-5614	293	4	x′	DATE
ejpam-5614	294	1	15	CARDINAL
ejpam-5614	294	2	16 1	CARDINAL
ejpam-5614	294	3	27	CARDINAL
ejpam-5614	295	1	11 18	CARDINAL
ejpam-5614	295	2	18,0	CARDINAL
ejpam-5614	295	3	15	CARDINAL
ejpam-5614	295	4	18	CARDINAL
ejpam-5614	295	5	27	CARDINAL
ejpam-5614	297	1	0 9 ] 6	CARDINAL
ejpam-5614	297	2	english	NORP
ejpam-5614	297	3	11≡	CARDINAL
ejpam-5614	297	4	18	CARDINAL
ejpam-5614	297	5	0	CARDINAL
ejpam-5614	297	6	9	CARDINAL
ejpam-5614	297	7	i. 7.	PERSON
ejpam-5614	299	1	1	CARDINAL
ejpam-5614	300	1	1	CARDINAL
ejpam-5614	300	2	6	CARDINAL
ejpam-5614	302	1	n. m. noureldeen et al	PERSON
ejpam-5614	303	1	j. pure	PERSON
ejpam-5614	303	2	18	CARDINAL
ejpam-5614	303	3	1	CARDINAL
ejpam-5614	303	4	2025	CARDINAL
ejpam-5614	303	5	5614 15	DATE
ejpam-5614	303	6	18	DATE
ejpam-5614	303	7	4	CARDINAL
ejpam-5614	303	8	1	CARDINAL
ejpam-5614	303	9	17	CARDINAL
ejpam-5614	303	10	k=3	PERSON
ejpam-5614	303	11	ub3	ORG
ejpam-5614	304	1	1 2	CARDINAL
ejpam-5614	304	2	16	CARDINAL
ejpam-5614	304	3	27	CARDINAL
ejpam-5614	304	4	8 20 5 21	DATE
ejpam-5614	305	1	11	CARDINAL
ejpam-5614	305	2	18	DATE
ejpam-5614	305	3	0	CARDINAL
ejpam-5614	305	4	9	CARDINAL
ejpam-5614	306	1	11,18	CARDINAL
ejpam-5614	306	2	8 20 5 21	DATE
ejpam-5614	306	3	11 18	CARDINAL
ejpam-5614	307	1	16 1	CARDINAL
ejpam-5614	307	2	0,9	CARDINAL
ejpam-5614	307	3	8 20 5 21	DATE
ejpam-5614	308	1	0 9	CARDINAL
ejpam-5614	309	1	18	CARDINAL
ejpam-5614	310	1	16 1	CARDINAL
ejpam-5614	310	2	18	CARDINAL
ejpam-5614	310	3	16 1	CARDINAL
ejpam-5614	310	4	18	CARDINAL
ejpam-5614	311	1	5	CARDINAL
ejpam-5614	312	1	panigrahi	GPE
ejpam-5614	312	2	2012	DATE
ejpam-5614	313	1	badr	GPE
ejpam-5614	313	2	mousa	PERSON
ejpam-5614	313	3	2019	DATE
ejpam-5614	316	1	zero	CARDINAL
ejpam-5614	321	1	n. m. noureldeen et al	PERSON
ejpam-5614	322	1	j. pure	PERSON
ejpam-5614	322	2	18	CARDINAL
ejpam-5614	322	3	1	CARDINAL
ejpam-5614	322	4	2025	CARDINAL
ejpam-5614	322	5	5614 16	DATE
ejpam-5614	322	6	18	CARDINAL
ejpam-5614	322	7	1	CARDINAL
ejpam-5614	322	8	b. d. acharya	PERSON
ejpam-5614	322	9	m. k. gill	PERSON
ejpam-5614	323	1	two	CARDINAL
ejpam-5614	324	1	indian	NORP
ejpam-5614	324	2	1981	DATE
ejpam-5614	325	1	2	CARDINAL
ejpam-5614	325	2	a. h. alkasasbeh	PERSON
ejpam-5614	325	3	e. badr	PERSON
ejpam-5614	325	4	h. attiya	PERSON
ejpam-5614	325	5	h. m. shabana	PERSON
ejpam-5614	327	1	2023	CARDINAL
ejpam-5614	328	1	3	CARDINAL
ejpam-5614	328	2	e. badr	PERSON
ejpam-5614	328	3	m. abdul salam	PERSON
ejpam-5614	328	4	s. almotairi	PERSON
ejpam-5614	328	5	h. ahmed.	PERSON
ejpam-5614	329	1	linear programming	ORG
ejpam-5614	330	1	article id 9384318	LAW
ejpam-5614	330	2	2021	DATE
ejpam-5614	331	1	4	CARDINAL
ejpam-5614	331	2	e. badr	PERSON
ejpam-5614	331	3	s. almotairi	PERSON
ejpam-5614	331	4	a. elrokh	PERSON
ejpam-5614	331	5	a. abdel-hady	PERSON
ejpam-5614	333	1	8:162343–162349	CARDINAL
ejpam-5614	333	2	2020	DATE
ejpam-5614	334	1	5	CARDINAL
ejpam-5614	334	2	e. badr	PERSON
ejpam-5614	334	3	s. nada	PERSON
ejpam-5614	334	4	m. al-shamiri	PERSON
ejpam-5614	334	5	a. abdel-hay	PERSON
ejpam-5614	334	6	a. elrokh	PERSON
ejpam-5614	336	1	article id 3303433	LAW
ejpam-5614	336	2	2022	CARDINAL
ejpam-5614	337	1	6	CARDINAL
ejpam-5614	337	2	e. m. badr	PERSON
ejpam-5614	337	3	m. i. moussa	PERSON
ejpam-5614	339	1	26(7):4955–4964	CARDINAL
ejpam-5614	339	2	2020	DATE
ejpam-5614	340	1	7	CARDINAL
ejpam-5614	340	2	elsayed badr	PERSON
ejpam-5614	340	3	mohamed el-hakeem	PERSON
ejpam-5614	340	4	enas e el-sharawy	PERSON
ejpam-5614	340	5	ahmed	PERSON
ejpam-5614	342	1	2023(1):9920700	DATE
ejpam-5614	342	2	2023	CARDINAL
ejpam-5614	343	1	8	CARDINAL
ejpam-5614	343	2	elsayed badr	PERSON
ejpam-5614	343	3	selim	PERSON
ejpam-5614	343	4	hoda mostafa	PERSON
ejpam-5614	343	5	hala attiya	ORG
ejpam-5614	345	1	2022(1):7660174	CARDINAL
ejpam-5614	345	2	2022	CARDINAL
ejpam-5614	346	1	9	CARDINAL
ejpam-5614	346	2	g. s.	PERSON
ejpam-5614	346	3	s. w. golomb	PERSON
ejpam-5614	347	1	65	CARDINAL
ejpam-5614	348	1	the institute of electrical	ORG
ejpam-5614	348	2	1977	DATE
ejpam-5614	349	1	10	CARDINAL
ejpam-5614	349	2	j. bosák	PERSON
ejpam-5614	351	1	kluwer	ORG
ejpam-5614	351	2	1990	DATE
ejpam-5614	352	1	11	CARDINAL
ejpam-5614	352	2	g. chartrand	PERSON
ejpam-5614	352	3	d. erwin	PERSON
ejpam-5614	352	4	p. zhang	PERSON
ejpam-5614	352	5	f. harary	PERSON
ejpam-5614	354	1	the institute of combinatorics	ORG
ejpam-5614	354	2	33:77–85, 2001	DATE
ejpam-5614	355	1	12	CARDINAL
ejpam-5614	355	2	a. elrokh	PERSON
ejpam-5614	355	3	a. e. badr	PERSON
ejpam-5614	355	4	m. m. a. al-shamiri	PERSON
ejpam-5614	355	5	s. ramadhan	PERSON
ejpam-5614	357	1	article id 3635499	LAW
ejpam-5614	357	2	2022	CARDINAL
ejpam-5614	358	1	13	CARDINAL
ejpam-5614	358	2	r. frucht	PERSON
ejpam-5614	360	1	new york academy of sciences	ORG
ejpam-5614	360	2	1979	DATE
ejpam-5614	361	1	14	CARDINAL
ejpam-5614	361	2	r. frucht	PERSON
ejpam-5614	361	3	j. a. gallian	PERSON
ejpam-5614	363	1	ars combinatorica	PERSON
ejpam-5614	363	2	26:69–82, 1988	DATE
ejpam-5614	364	1	15	CARDINAL
ejpam-5614	364	2	j. a. gallian	PERSON
ejpam-5614	366	1	combinatorics	ORG
ejpam-5614	366	2	2023	CARDINAL
ejpam-5614	367	1	16	CARDINAL
ejpam-5614	367	2	r. l. graham	PERSON
ejpam-5614	367	3	n. j. a. sloane	PERSON
ejpam-5614	369	1	siam journal	ORG
ejpam-5614	369	2	algebraic	PERSON
ejpam-5614	369	3	1:382–404	CARDINAL
ejpam-5614	369	4	1980	DATE
ejpam-5614	370	1	17	CARDINAL
ejpam-5614	370	2	j. griggs	PERSON
ejpam-5614	370	3	r. yeh	PERSON
ejpam-5614	371	1	2	CARDINAL
ejpam-5614	371	2	siam journal	ORG
ejpam-5614	371	3	5(4):586–595, 1992	DATE
ejpam-5614	372	1	18	CARDINAL
ejpam-5614	372	2	w. k. hale	PERSON
ejpam-5614	375	1	n. m. noureldeen et al	PERSON
ejpam-5614	376	1	j. pure	PERSON
ejpam-5614	376	2	18	CARDINAL
ejpam-5614	376	3	1	CARDINAL
ejpam-5614	376	4	2025	CARDINAL
ejpam-5614	376	5	5614 17	DATE
ejpam-5614	376	6	18 68(12):1497–1514, 1980	DATE
ejpam-5614	377	1	19	CARDINAL
ejpam-5614	377	2	m. kchikech	PERSON
ejpam-5614	377	3	r. khennoufa	PERSON
ejpam-5614	378	1	linear	ORG
ejpam-5614	379	1	27(1):105–123	GPE
ejpam-5614	379	2	2007	DATE
ejpam-5614	380	1	20	CARDINAL
ejpam-5614	380	2	x. li	PERSON
ejpam-5614	380	3	v. mak	PERSON
ejpam-5614	380	4	s. zhou	PERSON
ejpam-5614	382	1	158:507–515,	DATE
ejpam-5614	382	2	2010	DATE
ejpam-5614	383	1	21	CARDINAL
ejpam-5614	384	1	liu	PERSON
ejpam-5614	385	1	308:1153–1164, 2008	DATE
ejpam-5614	386	1	22	CARDINAL
ejpam-5614	387	1	liu	PERSON
ejpam-5614	387	2	m. xie	PERSON
ejpam-5614	390	1	numer	PERSON
ejpam-5614	390	2	125	CARDINAL
ejpam-5614	390	3	2004	DATE
ejpam-5614	391	1	23	CARDINAL
ejpam-5614	392	1	liu	PERSON
ejpam-5614	392	2	m. xie	PERSON
ejpam-5614	394	1	90:307–319	CARDINAL
ejpam-5614	394	2	2009	DATE
ejpam-5614	395	1	24	CARDINAL
ejpam-5614	396	1	liu	PERSON
ejpam-5614	398	1	j. discrete	PERSON
ejpam-5614	398	2	19:610–621, 2005	DATE
ejpam-5614	399	1	25	CARDINAL
ejpam-5614	399	2	m. morris-rivera	PERSON
ejpam-5614	399	3	m. tomova	PERSON
ejpam-5614	399	4	y. yeager	PERSON
ejpam-5614	400	1	103:81–96, 2012	DATE
ejpam-5614	401	1	26	CARDINAL
ejpam-5614	401	2	m. i. moussa	PERSON
ejpam-5614	401	3	e. m. badr	PERSON
ejpam-5614	403	1	10(3	CARDINAL
ejpam-5614	403	2	september 2019	DATE
ejpam-5614	404	1	27	CARDINAL
ejpam-5614	404	2	j. p. ortiz	PERSON
ejpam-5614	404	3	p. martinez	PERSON
ejpam-5614	404	4	m. tomova	PERSON
ejpam-5614	408	1	31:45–62, 2011	DATE
ejpam-5614	409	1	28	CARDINAL
ejpam-5614	409	2	s. reddy	PERSON
ejpam-5614	409	3	v. k. iyer	PERSON
ejpam-5614	412	1	j. pure	PERSON
ejpam-5614	414	1	71(2):207–215, 2011	DATE
ejpam-5614	415	1	29	CARDINAL
ejpam-5614	415	2	a. rosa	PERSON
ejpam-5614	417	1	rome	GPE
ejpam-5614	417	2	july 1966	DATE
ejpam-5614	417	3	349–355	CARDINAL
ejpam-5614	418	1	gordon	PERSON
ejpam-5614	418	2	1967	DATE
ejpam-5614	419	1	30	CARDINAL
ejpam-5614	419	2	l. saha	PERSON
ejpam-5614	419	3	p. panigrahi	PERSON
ejpam-5614	421	1	7643	DATE
ejpam-5614	421	2	125–129,	DATE
ejpam-5614	421	3	2012	DATE
ejpam-5614	422	1	31	CARDINAL
ejpam-5614	422	2	l. saha	PERSON
ejpam-5614	422	3	p. panigrahi	PERSON
ejpam-5614	424	1	australian	NORP
ejpam-5614	424	2	j. combin	PERSON
ejpam-5614	424	3	55:273–288,	DATE
ejpam-5614	424	4	2013	DATE
ejpam-5614	425	1	32	CARDINAL
ejpam-5614	425	2	p. panigrahi	PERSON
ejpam-5614	427	1	192:87–100	DATE
ejpam-5614	427	2	2015	DATE
ejpam-5614	428	1	33	CARDINAL
ejpam-5614	428	2	diaa salama	PERSON
ejpam-5614	428	3	e. badr	PERSON
ejpam-5614	428	4	mostafa farag	PERSON
ejpam-5614	430	1	1(1):12–26	CARDINAL
ejpam-5614	430	2	2022	CARDINAL
ejpam-5614	431	1	34	CARDINAL
ejpam-5614	431	2	m. saraswathi	PERSON
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ejpam-5614	433	1	4th	ORDINAL
ejpam-5614	433	2	phd	PERSON
ejpam-5614	433	3	2022	CARDINAL
ejpam-5614	434	1	35	CARDINAL
ejpam-5614	434	2	h. shabana	PERSON
ejpam-5614	434	3	r. el-shanawany	PERSON
ejpam-5614	434	4	s. r. halawa	PERSON
ejpam-5614	436	1	alexandria engineering journal	ORG
ejpam-5614	436	2	75:649	DATE
ejpam-5614	436	3	662	CARDINAL
ejpam-5614	436	4	2023	CARDINAL
ejpam-5614	437	1	36	CARDINAL
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ejpam-5614	439	1	european journal	ORG
ejpam-5614	439	2	17(4):3492–3516	CARDINAL
ejpam-5614	439	3	2024	DATE
ejpam-5614	440	1	37	CARDINAL
ejpam-5614	440	2	h. shabana	PERSON
ejpam-5614	440	3	m. v. volkov	PERSON
ejpam-5614	442	1	acta informatica	PERSON
ejpam-5614	442	2	59:479–504	CARDINAL
ejpam-5614	442	3	2022	CARDINAL
ejpam-5614	443	1	n. m. noureldeen et al	PERSON
ejpam-5614	444	1	j. pure	PERSON
ejpam-5614	444	2	18	CARDINAL
ejpam-5614	444	3	1	CARDINAL
ejpam-5614	444	4	2025	CARDINAL
ejpam-5614	444	5	5614 18	DATE
ejpam-5614	444	6	18	CARDINAL
ejpam-5614	444	7	38	CARDINAL
ejpam-5614	444	8	g. s. singh	PERSON
ejpam-5614	446	1	national academy of sciences letters	ORG
ejpam-5614	446	2	15:193–194, 1992	DATE
ejpam-5614	447	1	39	CARDINAL
ejpam-5614	447	2	p. zhang	PERSON
ejpam-5614	450	1	65:21–32	CARDINAL
ejpam-5614	450	2	2002	DATE