id	sid	eid	entity	type
ejpam-5770	1	1	european journal	ORG
ejpam-5770	1	2	2025	DATE
ejpam-5770	1	3	18	CARDINAL
ejpam-5770	1	4	2	CARDINAL
ejpam-5770	1	5	1307-5543	DATE
ejpam-5770	1	6	new york	GPE
ejpam-5770	1	7	jamil j. hamja1,2	PERSON
ejpam-5770	1	8	seyed mahmoud sheikholeslami3,∗	PERSON
ejpam-5770	1	9	imelda s. aniversario2,4	PERSON
ejpam-5770	2	1	lyster rey	PERSON
ejpam-5770	3	1	1	CARDINAL
ejpam-5770	3	2	msu tawi-tawi college of technology	ORG
ejpam-5770	3	3	7500	CARDINAL
ejpam-5770	3	4	2	CARDINAL
ejpam-5770	3	5	msu iligan institute of technology	ORG
ejpam-5770	3	6	9200	CARDINAL
ejpam-5770	3	7	iligan city	GPE
ejpam-5770	3	8	philippines 3 department	ORG
ejpam-5770	3	9	shahid madani university	PERSON
ejpam-5770	3	10	iran 4	EVENT
ejpam-5770	3	11	institute of science	ORG
ejpam-5770	3	12	msu iligan institute of technology	ORG
ejpam-5770	3	13	9200	CARDINAL
ejpam-5770	3	14	iligan city	GPE
ejpam-5770	3	15	philippines	GPE
ejpam-5770	4	1	1	CARDINAL
ejpam-5770	4	2	2	DATE
ejpam-5770	4	3	3	DATE
ejpam-5770	6	1	k}	PERSON
ejpam-5770	6	2	p({1	DATE
ejpam-5770	6	3	2	CARDINAL
ejpam-5770	6	4	3	DATE
ejpam-5770	8	1	k}	PERSON
ejpam-5770	9	1	∈	ORG
ejpam-5770	9	2	⋃ u∈ng(v	PERSON
ejpam-5770	10	1	1	CARDINAL
ejpam-5770	10	2	2	DATE
ejpam-5770	10	3	3	DATE
ejpam-5770	12	1	k}	PERSON
ejpam-5770	13	1	p({1	DATE
ejpam-5770	13	2	2	CARDINAL
ejpam-5770	14	1	k}	PERSON
ejpam-5770	14	2	∈	ORG
ejpam-5770	15	1	w(f	ORG
ejpam-5770	16	1	∑ v∈v	PERSON
ejpam-5770	18	1	ω(f	PERSON
ejpam-5770	19	1	first	ORDINAL
ejpam-5770	22	1	2020	DATE
ejpam-5770	22	2	05c69	CARDINAL
ejpam-5770	23	1	j. j. hamja	PERSON
ejpam-5770	23	2	s. m. sheikholeslami	PERSON
ejpam-5770	23	3	imelda.aniversario@g.msuiit.edu.ph	GPE
ejpam-5770	23	4	i. s. aniversario	PERSON
ejpam-5770	23	5	l. b. cabardo	PERSON
ejpam-5770	24	1	1	CARDINAL
ejpam-5770	24	2	2025	CARDINAL
ejpam-5770	25	1	j. j. hamja	PERSON
ejpam-5770	27	1	j. pure	PERSON
ejpam-5770	27	2	18	CARDINAL
ejpam-5770	27	3	2	CARDINAL
ejpam-5770	27	4	2025	CARDINAL
ejpam-5770	27	5	2	CARDINAL
ejpam-5770	27	6	11 1	CARDINAL
ejpam-5770	28	1	w. haynes et al	PERSON
ejpam-5770	29	1	1	CARDINAL
ejpam-5770	30	1	1987	DATE
ejpam-5770	31	1	2	CARDINAL
ejpam-5770	33	1	two decades later	DATE
ejpam-5770	33	2	2008	DATE
ejpam-5770	34	1	3	CARDINAL
ejpam-5770	36	1	the following years	DATE
ejpam-5770	36	2	4–11	CARDINAL
ejpam-5770	37	1	1997	DATE
ejpam-5770	37	2	j. e. dunbar et al	PERSON
ejpam-5770	38	1	12	CARDINAL
ejpam-5770	39	1	13–19	CARDINAL
ejpam-5770	43	1	first	ORDINAL
ejpam-5770	46	1	2	CARDINAL
ejpam-5770	46	2	20	CARDINAL
ejpam-5770	48	1	∈	ORG
ejpam-5770	49	1	∈	ORG
ejpam-5770	49	2	∈	ORG
ejpam-5770	51	1	⊆	CARDINAL
ejpam-5770	52	1	⊆	CARDINAL
ejpam-5770	52	2	e. p. sandueta	PERSON
ejpam-5770	53	1	18	CARDINAL
ejpam-5770	53	2	j. j. hamja et al	PERSON
ejpam-5770	54	1	j. pure	PERSON
ejpam-5770	54	2	18	CARDINAL
ejpam-5770	54	3	2	CARDINAL
ejpam-5770	54	4	2025	CARDINAL
ejpam-5770	54	5	3	CARDINAL
ejpam-5770	55	1	∈	ORG
ejpam-5770	57	1	⊆	CARDINAL
ejpam-5770	59	1	γ(g	NORP
ejpam-5770	59	2	⊆	CARDINAL
ejpam-5770	60	1	γw(g	PERSON
ejpam-5770	61	1	j. e. dunbar et al	PERSON
ejpam-5770	62	1	12	CARDINAL
ejpam-5770	64	1	p({1	DATE
ejpam-5770	64	2	2	CARDINAL
ejpam-5770	64	3	3	DATE
ejpam-5770	66	1	k}	PERSON
ejpam-5770	66	2	1	CARDINAL
ejpam-5770	66	3	2	DATE
ejpam-5770	66	4	3	DATE
ejpam-5770	69	1	∈	ORG
ejpam-5770	69	2	⋃ u∈ng(v	PERSON
ejpam-5770	70	1	1	CARDINAL
ejpam-5770	70	2	2	DATE
ejpam-5770	70	3	3	DATE
ejpam-5770	72	1	k}	PERSON
ejpam-5770	72	2	ω(f	PERSON
ejpam-5770	73	1	∑ v∈v	PERSON
ejpam-5770	73	2	g)|f(v)|	ORG
ejpam-5770	75	1	ω(f	PERSON
ejpam-5770	76	1	3	CARDINAL
ejpam-5770	77	1	p({1	DATE
ejpam-5770	77	2	2	CARDINAL
ejpam-5770	78	1	k}	PERSON
ejpam-5770	78	2	∈	ORG
ejpam-5770	79	1	ω(f	PERSON
ejpam-5770	80	1	∑ v∈v	PERSON
ejpam-5770	82	1	ω(f	PERSON
ejpam-5770	82	2	1	CARDINAL
ejpam-5770	82	3	1	CARDINAL
ejpam-5770	82	4	rk	NORP
ejpam-5770	84	1	1	CARDINAL
ejpam-5770	84	2	2	DATE
ejpam-5770	86	1	3	CARDINAL
ejpam-5770	86	2	1	CARDINAL
ejpam-5770	88	1	1	CARDINAL
ejpam-5770	90	1	integer k ≥ 2.	PERSON
ejpam-5770	91	1	rk	NORP
ejpam-5770	92	1	∈	ORG
ejpam-5770	93	1	j. j. hamja et al	PERSON
ejpam-5770	94	1	j. pure	PERSON
ejpam-5770	94	2	18	CARDINAL
ejpam-5770	94	3	2	CARDINAL
ejpam-5770	94	4	2025	CARDINAL
ejpam-5770	94	5	4	CARDINAL
ejpam-5770	94	6	11	CARDINAL
ejpam-5770	95	1	g k	PERSON
ejpam-5770	97	1	∈	ORG
ejpam-5770	98	1	∈	ORG
ejpam-5770	100	1	1	CARDINAL
ejpam-5770	100	2	2	DATE
ejpam-5770	104	1	p({1	DATE
ejpam-5770	104	2	2	CARDINAL
ejpam-5770	106	1	k}	PERSON
ejpam-5770	106	2	1	CARDINAL
ejpam-5770	106	3	2	DATE
ejpam-5770	108	1	1	CARDINAL
ejpam-5770	108	2	+ 1	DATE
ejpam-5770	109	1	k}	PERSON
ejpam-5770	110	1	∈	ORG
ejpam-5770	111	1	ω(g	NORP
ejpam-5770	111	2	∈	ORG
ejpam-5770	112	1	2	CARDINAL
ejpam-5770	116	1	∑ v∈v	PERSON
ejpam-5770	119	1	1	CARDINAL
ejpam-5770	119	2	2	CARDINAL
ejpam-5770	122	1	1	CARDINAL
ejpam-5770	122	2	2	CARDINAL
ejpam-5770	122	3	k ∈	ORG
ejpam-5770	122	4	2	CARDINAL
ejpam-5770	122	5	3	CARDINAL
ejpam-5770	122	6	6	CARDINAL
ejpam-5770	122	7	21	CARDINAL
ejpam-5770	123	1	3	CARDINAL
ejpam-5770	125	1	2 ⌋ +	DATE
ejpam-5770	126	1	n ≥ 5	DATE
ejpam-5770	126	2	3n 4 ⌉ + 1	DATE
ejpam-5770	126	3	n ≡ 0	ORG
ejpam-5770	126	4	2	DATE
ejpam-5770	126	5	3	CARDINAL
ejpam-5770	127	1	n ≥ 5	DATE
ejpam-5770	129	1	3n 4	DATE
ejpam-5770	130	1	j. j. hamja et al	PERSON
ejpam-5770	131	1	j. pure	PERSON
ejpam-5770	131	2	18	CARDINAL
ejpam-5770	131	3	2	CARDINAL
ejpam-5770	131	4	2025	CARDINAL
ejpam-5770	131	5	5	CARDINAL
ejpam-5770	131	6	11	CARDINAL
ejpam-5770	131	7	3	CARDINAL
ejpam-5770	131	8	1	CARDINAL
ejpam-5770	131	9	k ∈	ORG
ejpam-5770	131	10	2	CARDINAL
ejpam-5770	131	11	3	CARDINAL
ejpam-5770	133	1	2 ⌋ + 1	DATE
ejpam-5770	133	2	n ≡ 0	ORG
ejpam-5770	133	3	2	DATE
ejpam-5770	133	4	3	CARDINAL
ejpam-5770	134	1	2 ⌋ +	DATE
ejpam-5770	135	1	3n 4	DATE
ejpam-5770	140	1	vn−1	ORG
ejpam-5770	143	1	vn−1	ORG
ejpam-5770	143	2	first	ORDINAL
ejpam-5770	144	1	k ∈	ORG
ejpam-5770	144	2	2	CARDINAL
ejpam-5770	144	3	3	CARDINAL
ejpam-5770	144	4	p({1	DATE
ejpam-5770	144	5	2	CARDINAL
ejpam-5770	146	1	k}	PERSON
ejpam-5770	146	2	n ≡ 1	ORG
ejpam-5770	147	1	1	CARDINAL
ejpam-5770	147	2	0 ≤	MONEY
ejpam-5770	147	3	4	CARDINAL
ejpam-5770	147	4	fk(v4i+3	CARDINAL
ejpam-5770	147	5	2	CARDINAL
ejpam-5770	147	6	0 ≤	MONEY
ejpam-5770	149	1	n ≡ 2	ORG
ejpam-5770	150	1	1	CARDINAL
ejpam-5770	150	2	1	CARDINAL
ejpam-5770	150	3	0 ≤	MONEY
ejpam-5770	151	1	2	CARDINAL
ejpam-5770	151	2	0 ≤	MONEY
ejpam-5770	153	1	n ≡ 3	ORG
ejpam-5770	153	2	1	CARDINAL
ejpam-5770	153	3	fk(v4i+3	CARDINAL
ejpam-5770	154	1	2	CARDINAL
ejpam-5770	154	2	0 ≤	MONEY
ejpam-5770	156	1	n ≡ 0	ORG
ejpam-5770	157	1	1	CARDINAL
ejpam-5770	157	2	1	CARDINAL
ejpam-5770	157	3	fk(v4i+3	CARDINAL
ejpam-5770	157	4	2	CARDINAL
ejpam-5770	157	5	0 ≤	MONEY
ejpam-5770	159	1	k ∈	ORG
ejpam-5770	159	2	2	CARDINAL
ejpam-5770	159	3	3	CARDINAL
ejpam-5770	160	1	1	CARDINAL
ejpam-5770	160	2	k ∈	ORG
ejpam-5770	160	3	2	CARDINAL
ejpam-5770	160	4	3	CARDINAL
ejpam-5770	160	5	3-(i	CARDINAL
ejpam-5770	162	1	k ∈	PERSON
ejpam-5770	162	2	2	CARDINAL
ejpam-5770	162	3	3	CARDINAL
ejpam-5770	163	1	n ≡ 0	ORG
ejpam-5770	163	2	p({1	DATE
ejpam-5770	163	3	2	CARDINAL
ejpam-5770	165	1	k}	PERSON
ejpam-5770	165	2	1	CARDINAL
ejpam-5770	165	3	fk(v4i+3	CARDINAL
ejpam-5770	165	4	2	CARDINAL
ejpam-5770	165	5	0 ≤	MONEY
ejpam-5770	167	1	k ∈	ORG
ejpam-5770	167	2	2	CARDINAL
ejpam-5770	167	3	3	CARDINAL
ejpam-5770	168	1	1	CARDINAL
ejpam-5770	168	2	k ∈	ORG
ejpam-5770	168	3	2	CARDINAL
ejpam-5770	168	4	3	CARDINAL
ejpam-5770	168	5	3-(i	CARDINAL
ejpam-5770	169	1	j. j. hamja et al	PERSON
ejpam-5770	170	1	j. pure	PERSON
ejpam-5770	170	2	18	CARDINAL
ejpam-5770	170	3	2	CARDINAL
ejpam-5770	170	4	2025	CARDINAL
ejpam-5770	170	5	6	CARDINAL
ejpam-5770	170	6	11	CARDINAL
ejpam-5770	170	7	2	CARDINAL
ejpam-5770	172	1	n ≤ k	FAC
ejpam-5770	174	1	∑ v∈v	PERSON
ejpam-5770	174	2	1	CARDINAL
ejpam-5770	176	1	⋃ u∈ng(v	PERSON
ejpam-5770	177	1	1	CARDINAL
ejpam-5770	177	2	2	DATE
ejpam-5770	177	3	3	DATE
ejpam-5770	179	1	k}	PERSON
ejpam-5770	179	2	≥ k.	PERSON
ejpam-5770	181	1	p({1	DATE
ejpam-5770	181	2	2	CARDINAL
ejpam-5770	183	1	k}	PERSON
ejpam-5770	183	2	g(v	PERSON
ejpam-5770	184	1	1	CARDINAL
ejpam-5770	184	2	∈	ORG
ejpam-5770	186	1	∈	ORG
ejpam-5770	188	1	1	CARDINAL
ejpam-5770	188	2	∈	ORG
ejpam-5770	190	1	n ≤ k	FAC
ejpam-5770	191	1	n. shao et al	PERSON
ejpam-5770	192	1	21	CARDINAL
ejpam-5770	193	1	4	CARDINAL
ejpam-5770	194	1	k ≥ 2	ORG
ejpam-5770	194	2	∆(g)2	ORG
ejpam-5770	196	1	4	CARDINAL
ejpam-5770	196	2	1	CARDINAL
ejpam-5770	196	3	1	CARDINAL
ejpam-5770	197	1	k ≥ 2	ORG
ejpam-5770	197	2	∆(g)2	ORG
ejpam-5770	198	1	2	CARDINAL
ejpam-5770	209	1	5	CARDINAL
ejpam-5770	209	2	2	CARDINAL
ejpam-5770	211	1	+ 1	DATE
ejpam-5770	211	2	2k	CARDINAL
ejpam-5770	211	3	0	DATE
ejpam-5770	211	4	0	DATE
ejpam-5770	211	5	2k	CARDINAL
ejpam-5770	213	1	0	DATE
ejpam-5770	213	2	0	DATE
ejpam-5770	213	3	2k	CARDINAL
ejpam-5770	215	1	2	CARDINAL
ejpam-5770	216	1	p({1	DATE
ejpam-5770	216	2	2	CARDINAL
ejpam-5770	217	1	k}	PERSON
ejpam-5770	218	1	1	CARDINAL
ejpam-5770	218	2	2	DATE
ejpam-5770	220	1	0 ≤	MONEY
ejpam-5770	220	2	f(x	ORG
ejpam-5770	221	1	k(c	PRODUCT
ejpam-5770	222	1	p({1	DATE
ejpam-5770	222	2	2	CARDINAL
ejpam-5770	224	1	k}	PERSON
ejpam-5770	225	1	1	CARDINAL
ejpam-5770	225	2	2	DATE
ejpam-5770	226	1	0 ≤	MONEY
ejpam-5770	226	2	1	CARDINAL
ejpam-5770	226	3	1 ≤	QUANTITY
ejpam-5770	229	1	j. j. hamja et al	PERSON
ejpam-5770	230	1	j. pure	PERSON
ejpam-5770	230	2	18	CARDINAL
ejpam-5770	230	3	2	CARDINAL
ejpam-5770	230	4	2025	CARDINAL
ejpam-5770	230	5	7	CARDINAL
ejpam-5770	230	6	11	CARDINAL
ejpam-5770	234	1	2	CARDINAL
ejpam-5770	234	2	1	CARDINAL
ejpam-5770	234	3	2k	CARDINAL
ejpam-5770	234	4	0	DATE
ejpam-5770	234	5	0	DATE
ejpam-5770	234	6	2k	CARDINAL
ejpam-5770	236	1	0	DATE
ejpam-5770	236	2	0	DATE
ejpam-5770	236	3	2k	CARDINAL
ejpam-5770	236	4	4	CARDINAL
ejpam-5770	239	1	1	CARDINAL
ejpam-5770	239	2	≥ k.	PERSON
ejpam-5770	244	1	xm	ORG
ejpam-5770	244	2	1 ≤	QUANTITY
ejpam-5770	244	3	|x| ≤	PERSON
ejpam-5770	245	1	⊆	CARDINAL
ejpam-5770	245	2	i=1ng(xi	ORG
ejpam-5770	249	1	xm	ORG
ejpam-5770	249	2	1 ≤	QUANTITY
ejpam-5770	249	3	|x| ≤	PERSON
ejpam-5770	250	1	⊆	CARDINAL
ejpam-5770	250	2	i=1ng(xi	ORG
ejpam-5770	251	1	2	CARDINAL
ejpam-5770	251	2	≥ k.	PERSON
ejpam-5770	254	1	p({1	DATE
ejpam-5770	254	2	2	CARDINAL
ejpam-5770	255	1	k}	PERSON
ejpam-5770	256	1	1 ≤	QUANTITY
ejpam-5770	256	2	1	CARDINAL
ejpam-5770	256	3	f(xm	ORG
ejpam-5770	257	1	f(x	ORG
ejpam-5770	258	1	k.	PERSON
ejpam-5770	262	1	1	CARDINAL
ejpam-5770	262	2	2	DATE
ejpam-5770	263	1	k}.	PERSON
ejpam-5770	266	1	xm	ORG
ejpam-5770	266	2	1 ≤	QUANTITY
ejpam-5770	268	1	1 ≤	QUANTITY
ejpam-5770	269	1	⊆	CARDINAL
ejpam-5770	269	2	i=1ng(xi	ORG
ejpam-5770	271	1	2	CARDINAL
ejpam-5770	271	2	6	CARDINAL
ejpam-5770	272	1	3	CARDINAL
ejpam-5770	275	1	kn	PERSON
ejpam-5770	275	2	{ k if n ≥ k	PERSON
ejpam-5770	275	3	3	CARDINAL
ejpam-5770	276	1	k ≥ 1 and m ≤ n.	ORG
ejpam-5770	278	1	2k	CARDINAL
ejpam-5770	278	2	2k	CARDINAL
ejpam-5770	278	3	max{m	NORP
ejpam-5770	280	1	bipartite	NORP
ejpam-5770	281	1	two	CARDINAL
ejpam-5770	281	2	km,n	FAC
ejpam-5770	283	1	xm	ORG
ejpam-5770	288	1	j. j. hamja	PERSON
ejpam-5770	290	1	j. pure	PERSON
ejpam-5770	290	2	18	CARDINAL
ejpam-5770	290	3	2	CARDINAL
ejpam-5770	290	4	2025	CARDINAL
ejpam-5770	290	5	8	CARDINAL
ejpam-5770	290	6	11	CARDINAL
ejpam-5770	290	7	1	CARDINAL
ejpam-5770	291	1	2k	CARDINAL
ejpam-5770	293	1	1	CARDINAL
ejpam-5770	293	2	2	DATE
ejpam-5770	294	1	k}	PERSON
ejpam-5770	294	2	1	CARDINAL
ejpam-5770	294	3	2	DATE
ejpam-5770	296	1	k}	PERSON
ejpam-5770	296	2	∈	ORG
ejpam-5770	297	1	⋃ u∈ng(v	PERSON
ejpam-5770	298	1	1	CARDINAL
ejpam-5770	298	2	2	DATE
ejpam-5770	301	1	nkm	ORG
ejpam-5770	303	1	∑ v∈v	PERSON
ejpam-5770	303	2	2k	CARDINAL
ejpam-5770	305	1	∈	ORG
ejpam-5770	305	2	2k	CARDINAL
ejpam-5770	306	1	two	CARDINAL
ejpam-5770	306	2	∈	ORG
ejpam-5770	306	3	∑ v∈v	PERSON
ejpam-5770	306	4	∑ v∈y |f∗(v)| = ∑ v∈nkm	PERSON
ejpam-5770	307	1	|f∗(v)| ≥ 2k	DATE
ejpam-5770	308	1	2k	CARDINAL
ejpam-5770	308	2	2k	CARDINAL
ejpam-5770	309	1	2	CARDINAL
ejpam-5770	311	1	6	CARDINAL
ejpam-5770	312	1	k = max{m	PERSON
ejpam-5770	312	2	k}	PERSON
ejpam-5770	314	1	p({1	DATE
ejpam-5770	314	2	2	CARDINAL
ejpam-5770	316	1	k}	PERSON
ejpam-5770	316	2	1 ≤	QUANTITY
ejpam-5770	317	1	1	CARDINAL
ejpam-5770	319	1	1	CARDINAL
ejpam-5770	319	2	km,n	ORG
ejpam-5770	319	3	1	CARDINAL
ejpam-5770	319	4	k}	PERSON
ejpam-5770	321	1	5	CARDINAL
ejpam-5770	321	2	20	CARDINAL
ejpam-5770	321	3	two	CARDINAL
ejpam-5770	321	4	g+h	ORG
ejpam-5770	322	1	∈	ORG
ejpam-5770	327	1	j. j. hamja et al	PERSON
ejpam-5770	328	1	j. pure	PERSON
ejpam-5770	328	2	18	CARDINAL
ejpam-5770	328	3	2	CARDINAL
ejpam-5770	328	4	2025	CARDINAL
ejpam-5770	328	5	9	CARDINAL
ejpam-5770	328	6	11	CARDINAL
ejpam-5770	330	1	6	CARDINAL
ejpam-5770	330	2	⊆	CARDINAL
ejpam-5770	330	3	|x| ≤ k	PERSON
ejpam-5770	330	4	x.	GPE
ejpam-5770	330	5	6	CARDINAL
ejpam-5770	330	6	g+h	ORG
ejpam-5770	332	1	g+h	ORG
ejpam-5770	333	1	6	CARDINAL
ejpam-5770	333	2	|x| ≤ k	PERSON
ejpam-5770	333	3	x.	GPE
ejpam-5770	333	4	6	CARDINAL
ejpam-5770	336	1	8	CARDINAL
ejpam-5770	338	1	g+h) ≤	LAW
ejpam-5770	341	1	two	CARDINAL
ejpam-5770	342	1	∈	ORG
ejpam-5770	344	1	p({1	DATE
ejpam-5770	344	2	2	CARDINAL
ejpam-5770	346	1	k}	PERSON
ejpam-5770	346	2	f(x	ORG
ejpam-5770	346	3	1	CARDINAL
ejpam-5770	346	4	2	DATE
ejpam-5770	348	1	∈	ORG
ejpam-5770	350	1	g+h	ORG
ejpam-5770	350	2	g+h) ≤ 2k	LAW
ejpam-5770	351	1	∪x∈v	PERSON
ejpam-5770	351	2	1	CARDINAL
ejpam-5770	351	3	2	DATE
ejpam-5770	353	1	g+h	ORG
ejpam-5770	353	2	g+h	ORG
ejpam-5770	353	3	g+h) ≤ min{γwc rk	LAW
ejpam-5770	356	1	1	CARDINAL
ejpam-5770	357	1	integer k ≥ 3	PERSON
ejpam-5770	357	2	2	CARDINAL
ejpam-5770	358	1	integer k ≥ 2	PERSON
ejpam-5770	359	1	3	CARDINAL
ejpam-5770	360	1	4	CARDINAL
ejpam-5770	360	2	k ≥ 2. 6	ORG
ejpam-5770	364	1	j. j. hamja et al	PERSON
ejpam-5770	365	1	j. pure	PERSON
ejpam-5770	365	2	18	CARDINAL
ejpam-5770	365	3	2	CARDINAL
ejpam-5770	365	4	2025	CARDINAL
ejpam-5770	365	5	10	CARDINAL
ejpam-5770	365	6	11	CARDINAL
ejpam-5770	366	1	mindanao state university	ORG
ejpam-5770	366	2	mindanao state university—iligan institute of technology	ORG
ejpam-5770	366	3	msu-iit	ORG
ejpam-5770	367	1	1	CARDINAL
ejpam-5770	367	2	w. haynes	PERSON
ejpam-5770	367	3	s. t. hedetniemi	PERSON
ejpam-5770	367	4	m. a. henning	PERSON
ejpam-5770	368	1	64	CARDINAL
ejpam-5770	369	1	2020	DATE
ejpam-5770	370	1	2	CARDINAL
ejpam-5770	370	2	s. m. hedetniemi	PERSON
ejpam-5770	370	3	s. t. hedetniemi	PERSON
ejpam-5770	370	4	t. v. wimer	PERSON
ejpam-5770	371	1	linear time	ORG
ejpam-5770	373	1	mathematical sciences	ORG
ejpam-5770	373	2	clemson univ.	ORG
ejpam-5770	373	3	1987	DATE
ejpam-5770	374	1	boca raton	GPE
ejpam-5770	374	2	fl	ORG
ejpam-5770	374	3	1987	DATE
ejpam-5770	375	1	3	CARDINAL
ejpam-5770	375	2	m. a. henning	PERSON
ejpam-5770	375	3	d. f. rall	PERSON
ejpam-5770	377	1	taiwanese	NORP
ejpam-5770	377	2	12:213–225, 2008	DATE
ejpam-5770	378	1	4	CARDINAL
ejpam-5770	378	2	h. abdollahzadeh	PERSON
ejpam-5770	378	3	j. amjadi	PERSON
ejpam-5770	378	4	n. jafari rad	PERSON
ejpam-5770	378	5	d. samodivkin	PERSON
ejpam-5770	380	1	3:37–50	CARDINAL
ejpam-5770	380	2	2018	DATE
ejpam-5770	381	1	5	CARDINAL
ejpam-5770	381	2	j. amjadi	PERSON
ejpam-5770	381	3	n. dehgardi	PERSON
ejpam-5770	381	4	m. furuya	PERSON
ejpam-5770	381	5	s. m. sheikholeslami	PERSON
ejpam-5770	383	1	2:1–17	CARDINAL
ejpam-5770	383	2	2017	DATE
ejpam-5770	384	1	6	CARDINAL
ejpam-5770	384	2	t. k.	PERSON
ejpam-5770	385	1	2	CARDINAL
ejpam-5770	386	1	155:2394–2400, 2007	DATE
ejpam-5770	387	1	7	CARDINAL
ejpam-5770	387	2	s. fujita	PERSON
ejpam-5770	387	3	m. furuya	PERSON
ejpam-5770	387	4	c. magnant	PERSON
ejpam-5770	389	1	combinatorics	ORG
ejpam-5770	389	2	31:601–613	CARDINAL
ejpam-5770	389	3	2015	DATE
ejpam-5770	390	1	8	CARDINAL
ejpam-5770	392	1	2020	DATE
ejpam-5770	393	1	9	CARDINAL
ejpam-5770	393	2	s. m. sheikholeslami	PERSON
ejpam-5770	393	3	l. volkmann	PERSON
ejpam-5770	394	1	nordhaus-gaddum	PERSON
ejpam-5770	395	1	24:1758–1761, 2011	DATE
ejpam-5770	396	1	10	CARDINAL
ejpam-5770	396	2	a. mahmoodi	PERSON
ejpam-5770	396	3	l. volkmann	PERSON
ejpam-5770	397	1	2	CARDINAL
ejpam-5770	398	1	2023	CARDINAL
ejpam-5770	399	1	11	CARDINAL
ejpam-5770	399	2	r. y. salkhori	PERSON
ejpam-5770	399	3	e. vatandoost	PERSON
ejpam-5770	399	4	a. behtoei	PERSON
ejpam-5770	400	1	2	CARDINAL
ejpam-5770	403	1	12	CARDINAL
ejpam-5770	403	2	j. e. dunbar	PERSON
ejpam-5770	403	3	j. w. grossman	PERSON
ejpam-5770	403	4	j. h. hattingh	PERSON
ejpam-5770	403	5	s. t. hedetniemi	PERSON
ejpam-5770	403	6	a. a. mcrae	PERSON
ejpam-5770	405	1	167:261–269, 1997	DATE
ejpam-5770	406	1	j. j. hamja et al	PERSON
ejpam-5770	407	1	j. pure	PERSON
ejpam-5770	407	2	18	CARDINAL
ejpam-5770	407	3	2	CARDINAL
ejpam-5770	407	4	2025	CARDINAL
ejpam-5770	407	5	11	CARDINAL
ejpam-5770	407	6	11	CARDINAL
ejpam-5770	407	7	13	CARDINAL
ejpam-5770	407	8	g. s. domke	PERSON
ejpam-5770	407	9	j. h. hattingh	PERSON
ejpam-5770	407	10	l. r. markus	PERSON
ejpam-5770	408	1	discrete mathematics	PERSON
ejpam-5770	408	2	305:112–122, 2005	DATE
ejpam-5770	409	1	14	CARDINAL
ejpam-5770	409	2	j. j. hamja	PERSON
ejpam-5770	409	3	i. s. aniversario	PERSON
ejpam-5770	409	4	h. m. rara	PERSON
ejpam-5770	411	1	european journal	ORG
ejpam-5770	411	2	2023	CARDINAL
ejpam-5770	412	1	15	CARDINAL
ejpam-5770	412	2	j. j. hamja	PERSON
ejpam-5770	412	3	i. s. aniversario	PERSON
ejpam-5770	412	4	c. i. merca	PERSON
ejpam-5770	414	1	european journal	ORG
ejpam-5770	414	2	16(1):454–464	DATE
ejpam-5770	414	3	2023	CARDINAL
ejpam-5770	415	1	16	CARDINAL
ejpam-5770	415	2	m. lemańska	PERSON
ejpam-5770	415	3	a. patyk	PERSON
ejpam-5770	417	1	opuscula mathematica	PERSON
ejpam-5770	417	2	28:325–330, 2008	DATE
ejpam-5770	418	1	17	CARDINAL
ejpam-5770	418	2	j. raczek	PERSON
ejpam-5770	418	3	j. cyman	PERSON
ejpam-5770	420	1	267:151–159	DATE
ejpam-5770	420	2	2019	DATE
ejpam-5770	421	1	18	CARDINAL
ejpam-5770	421	2	sandueta	ORG
ejpam-5770	421	3	s. r. canoy jr.	PERSON
ejpam-5770	422	1	6:1031–1035, 2011	DATE
ejpam-5770	423	1	19	CARDINAL
ejpam-5770	425	1	33:67–73	CARDINAL
ejpam-5770	425	2	2009	DATE
ejpam-5770	426	1	20	CARDINAL
ejpam-5770	426	2	f. harary	PERSON
ejpam-5770	428	1	addison-wesley publishing company, inc.	ORG
ejpam-5770	428	2	massachusetts	GPE
ejpam-5770	428	3	1969	DATE
ejpam-5770	429	1	21	CARDINAL
ejpam-5770	429	2	z. shao	PERSON
ejpam-5770	429	3	m. liang	PERSON
ejpam-5770	429	4	c. yin	PERSON
ejpam-5770	429	5	x. xu	PERSON
ejpam-5770	431	1	254:225–234, 2014	DATE