id	sid	eid	entity	type
ejpam-6063	1	1	european journal	ORG
ejpam-6063	1	2	2025	DATE
ejpam-6063	1	3	18	CARDINAL
ejpam-6063	1	4	2	CARDINAL
ejpam-6063	1	5	6063	CARDINAL
ejpam-6063	1	6	1307-5543	DATE
ejpam-6063	1	7	new york	GPE
ejpam-6063	1	8	2	CARDINAL
ejpam-6063	1	9	javier a. hassan1,2,∗	PERSON
ejpam-6063	1	10	sergio r. canoy	PERSON
ejpam-6063	1	11	anabel gamorez5	PERSON
ejpam-6063	1	12	eman c. ahmad5	PERSON
ejpam-6063	1	13	s. sappari1 1mathematics	PERSON
ejpam-6063	1	14	sciences department	ORG
ejpam-6063	1	15	msu tawi-tawi college of technology	ORG
ejpam-6063	1	16	2department	TIME
ejpam-6063	1	17	korea university	ORG
ejpam-6063	1	18	seoul	GPE
ejpam-6063	1	19	south korea	GPE
ejpam-6063	2	1	3department	CARDINAL
ejpam-6063	2	2	msu-iligan institute of technology	ORG
ejpam-6063	2	3	iligan city	GPE
ejpam-6063	2	4	philippines 4center	PERSON
ejpam-6063	2	5	msu-iligan institute of technology	ORG
ejpam-6063	2	6	iligan city	GPE
ejpam-6063	2	7	philippines 5department	ORG
ejpam-6063	2	8	university, zamboanga city	ORG
ejpam-6063	2	9	philippines	GPE
ejpam-6063	3	1	2	CARDINAL
ejpam-6063	4	1	2	CARDINAL
ejpam-6063	4	2	two	CARDINAL
ejpam-6063	5	1	2020	DATE
ejpam-6063	5	2	05c69	CARDINAL
ejpam-6063	5	3	2	CARDINAL
ejpam-6063	5	4	2	CARDINAL
ejpam-6063	5	5	2	CARDINAL
ejpam-6063	5	6	1	CARDINAL
ejpam-6063	7	1	1	CARDINAL
ejpam-6063	9	1	2	CARDINAL
ejpam-6063	9	2	3	CARDINAL
ejpam-6063	11	1	4	CARDINAL
ejpam-6063	11	2	np	ORG
ejpam-6063	12	1	np	ORG
ejpam-6063	12	2	garey et al	PERSON
ejpam-6063	14	1	https://doi.org/10.29020/nybg.ejpam.v18i2.6063	PERSON
ejpam-6063	14	2	j. hassan	PERSON
ejpam-6063	15	1	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-6063	15	2	s. canoy, jr.	PERSON
ejpam-6063	16	1	a. gamorez	PERSON
ejpam-6063	17	1	e. ahmad	PERSON
ejpam-6063	17	2	annadzwiesappari@msutawi-tawi.edu.ph	GPE
ejpam-6063	17	3	a. sappari	PERSON
ejpam-6063	18	1	1	CARDINAL
ejpam-6063	18	2	2025	CARDINAL
ejpam-6063	19	1	j. hassan et	PERSON
ejpam-6063	21	1	j. pure	PERSON
ejpam-6063	21	2	18	CARDINAL
ejpam-6063	21	3	2	CARDINAL
ejpam-6063	21	4	2025	CARDINAL
ejpam-6063	21	5	6063 2	DATE
ejpam-6063	21	6	11	CARDINAL
ejpam-6063	21	7	5	CARDINAL
ejpam-6063	21	8	6	CARDINAL
ejpam-6063	22	1	8	CARDINAL
ejpam-6063	22	2	9	CARDINAL
ejpam-6063	22	3	10	CARDINAL
ejpam-6063	22	4	11	CARDINAL
ejpam-6063	22	5	12	CARDINAL
ejpam-6063	22	6	13	CARDINAL
ejpam-6063	26	1	8	CARDINAL
ejpam-6063	26	2	9	CARDINAL
ejpam-6063	26	3	10	CARDINAL
ejpam-6063	26	4	11	CARDINAL
ejpam-6063	26	5	12	CARDINAL
ejpam-6063	27	1	2	CARDINAL
ejpam-6063	27	2	2	CARDINAL
ejpam-6063	28	1	2	CARDINAL
ejpam-6063	28	2	at least two	CARDINAL
ejpam-6063	29	1	2	CARDINAL
ejpam-6063	29	2	14	CARDINAL
ejpam-6063	30	1	15],[16	CARDINAL
ejpam-6063	30	2	17	CARDINAL
ejpam-6063	30	3	18	CARDINAL
ejpam-6063	30	4	2	CARDINAL
ejpam-6063	31	1	∈	ORG
ejpam-6063	32	1	⊆	CARDINAL
ejpam-6063	33	1	∈	ORG
ejpam-6063	33	2	0	CARDINAL
ejpam-6063	34	1	i(g	PERSON
ejpam-6063	35	1	1	CARDINAL
ejpam-6063	36	1	l(g	PERSON
ejpam-6063	36	2	two	CARDINAL
ejpam-6063	37	1	+ h	GPE
ejpam-6063	38	1	∈	ORG
ejpam-6063	39	1	one	CARDINAL
ejpam-6063	42	1	α(g	PERSON
ejpam-6063	42	2	α(g	PERSON
ejpam-6063	42	3	⊆	CARDINAL
ejpam-6063	43	1	2	CARDINAL
ejpam-6063	44	1	2, i.e.	DATE
ejpam-6063	44	2	at least two	CARDINAL
ejpam-6063	44	3	2	CARDINAL
ejpam-6063	46	1	2	CARDINAL
ejpam-6063	46	2	2	CARDINAL
ejpam-6063	49	1	∈	ORG
ejpam-6063	49	2	∈	ORG
ejpam-6063	51	1	⊆	CARDINAL
ejpam-6063	51	2	2	CARDINAL
ejpam-6063	51	3	2	CARDINAL
ejpam-6063	51	4	2	CARDINAL
ejpam-6063	51	5	2	CARDINAL
ejpam-6063	51	6	2	CARDINAL
ejpam-6063	52	1	j. hassan et	PERSON
ejpam-6063	54	1	j. pure	PERSON
ejpam-6063	54	2	18	CARDINAL
ejpam-6063	54	3	2	CARDINAL
ejpam-6063	54	4	2025	CARDINAL
ejpam-6063	54	5	6063 3	DATE
ejpam-6063	54	6	11	CARDINAL
ejpam-6063	54	7	19	CARDINAL
ejpam-6063	55	1	3	CARDINAL
ejpam-6063	55	2	1	CARDINAL
ejpam-6063	56	1	g1	ORG
ejpam-6063	58	1	gk	PERSON
ejpam-6063	62	1	1	CARDINAL
ejpam-6063	62	2	2	DATE
ejpam-6063	62	3	k}	PERSON
ejpam-6063	66	1	j ∈	PERSON
ejpam-6063	68	1	2	CARDINAL
ejpam-6063	68	2	2	CARDINAL
ejpam-6063	69	1	|ngj	EVENT
ejpam-6063	69	2	2	CARDINAL
ejpam-6063	70	1	2	CARDINAL
ejpam-6063	76	1	2	CARDINAL
ejpam-6063	80	1	2	CARDINAL
ejpam-6063	82	1	2	CARDINAL
ejpam-6063	83	1	1	CARDINAL
ejpam-6063	84	1	n ≥ 3	DATE
ejpam-6063	84	2	1	CARDINAL
ejpam-6063	84	3	1	CARDINAL
ejpam-6063	85	1	2	CARDINAL
ejpam-6063	85	2	+h	GPE
ejpam-6063	85	3	2	CARDINAL
ejpam-6063	86	1	g′ ∈	PERSON
ejpam-6063	86	2	g′	PERSON
ejpam-6063	87	1	2	CARDINAL
ejpam-6063	87	2	2	CARDINAL
ejpam-6063	88	1	2	CARDINAL
ejpam-6063	89	1	2	CARDINAL
ejpam-6063	90	1	n ≥ 3	DATE
ejpam-6063	90	2	w ∈	PERSON
ejpam-6063	90	3	2	CARDINAL
ejpam-6063	90	4	1	CARDINAL
ejpam-6063	91	1	1	CARDINAL
ejpam-6063	91	2	2	CARDINAL
ejpam-6063	91	3	s. hence	GPE
ejpam-6063	92	1	j. hassan et	PERSON
ejpam-6063	94	1	j. pure	PERSON
ejpam-6063	94	2	18	CARDINAL
ejpam-6063	94	3	2	CARDINAL
ejpam-6063	94	4	2025	CARDINAL
ejpam-6063	94	5	6063 4	DATE
ejpam-6063	94	6	11	CARDINAL
ejpam-6063	95	1	2	CARDINAL
ejpam-6063	95	2	first	ORDINAL
ejpam-6063	95	3	xy ∈	ORG
ejpam-6063	96	1	2	CARDINAL
ejpam-6063	97	1	n ≥ 2	ORG
ejpam-6063	98	1	2	CARDINAL
ejpam-6063	98	2	∈	ORG
ejpam-6063	100	1	n − 2	ORG
ejpam-6063	102	1	2	CARDINAL
ejpam-6063	102	2	1	CARDINAL
ejpam-6063	102	3	n ≥ 3	DATE
ejpam-6063	103	1	⊆	CARDINAL
ejpam-6063	104	1	y}⟩+h = k2+h	ORG
ejpam-6063	104	2	g)\s⟩	ORG
ejpam-6063	104	3	2	CARDINAL
ejpam-6063	105	1	+h	GPE
ejpam-6063	105	2	2	CARDINAL
ejpam-6063	108	1	|ng(v)| ≤ 1	CARDINAL
ejpam-6063	109	1	g′ ∈	PERSON
ejpam-6063	109	2	g′ ∈	PERSON
ejpam-6063	109	3	1	CARDINAL
ejpam-6063	109	4	3	CARDINAL
ejpam-6063	110	1	2	CARDINAL
ejpam-6063	110	2	∈	ORG
ejpam-6063	112	1	∈ l(g	ORG
ejpam-6063	112	2	i(g	PERSON
ejpam-6063	117	1	2	CARDINAL
ejpam-6063	117	2	2	CARDINAL
ejpam-6063	119	1	2	CARDINAL
ejpam-6063	119	2	2	CARDINAL
ejpam-6063	121	1	2	CARDINAL
ejpam-6063	121	2	∈	ORG
ejpam-6063	121	3	2	CARDINAL
ejpam-6063	123	1	2	CARDINAL
ejpam-6063	124	1	y ∈ l(g	PERSON
ejpam-6063	124	2	i(g	PERSON
ejpam-6063	125	1	2	CARDINAL
ejpam-6063	126	1	|s′|	PERSON
ejpam-6063	126	2	1	CARDINAL
ejpam-6063	127	1	3	CARDINAL
ejpam-6063	127	2	1	CARDINAL
ejpam-6063	128	1	n ≥ 3	DATE
ejpam-6063	130	1	1	CARDINAL
ejpam-6063	131	1	1	CARDINAL
ejpam-6063	131	2	4	CARDINAL
ejpam-6063	133	1	⌈	ORG
ejpam-6063	133	2	j. hassan et	PERSON
ejpam-6063	135	1	j. pure	PERSON
ejpam-6063	135	2	18	CARDINAL
ejpam-6063	135	3	2	CARDINAL
ejpam-6063	135	4	2025	CARDINAL
ejpam-6063	135	5	6063 5	DATE
ejpam-6063	135	6	11	CARDINAL
ejpam-6063	136	1	2	CARDINAL
ejpam-6063	137	1	1	CARDINAL
ejpam-6063	137	2	1+1 2	CARDINAL
ejpam-6063	137	3	2	CARDINAL
ejpam-6063	137	4	2 2 + 1	DATE
ejpam-6063	137	5	first	ORDINAL
ejpam-6063	137	6	2r	CARDINAL
ejpam-6063	139	1	1	CARDINAL
ejpam-6063	142	1	2	CARDINAL
ejpam-6063	142	2	∈ s.	PERSON
ejpam-6063	145	1	1 2	CARDINAL
ejpam-6063	145	2	2	CARDINAL
ejpam-6063	146	1	n ≥ 4	DATE
ejpam-6063	146	2	2	CARDINAL
ejpam-6063	146	3	t ≥ 2	DATE
ejpam-6063	151	1	2	CARDINAL
ejpam-6063	151	2	∈ s.	PERSON
ejpam-6063	153	1	a2r−1}∪ {a2r+1	PERSON
ejpam-6063	154	1	2 + 1	DATE
ejpam-6063	154	2	5	CARDINAL
ejpam-6063	155	1	n ≥ 3	DATE
ejpam-6063	156	1	⌈	ORG
ejpam-6063	158	1	2	CARDINAL
ejpam-6063	158	2	1+1 2	CARDINAL
ejpam-6063	159	1	n ≥ 5	DATE
ejpam-6063	159	2	2r	CARDINAL
ejpam-6063	161	1	2	CARDINAL
ejpam-6063	165	1	∈	ORG
ejpam-6063	167	1	b2r−1	PERSON
ejpam-6063	168	1	1 2	CARDINAL
ejpam-6063	168	2	2	CARDINAL
ejpam-6063	169	1	n ≥ 4	DATE
ejpam-6063	170	1	2	CARDINAL
ejpam-6063	170	2	2	CARDINAL
ejpam-6063	173	1	b2m−1	GPE
ejpam-6063	174	1	∈	ORG
ejpam-6063	177	1	2	CARDINAL
ejpam-6063	177	2	6	CARDINAL
ejpam-6063	178	1	km1,m2	PERSON
ejpam-6063	178	2	k-partite	ORG
ejpam-6063	178	3	2 ≤ m1 ≤ m2 ≤	QUANTITY
ejpam-6063	180	1	1	CARDINAL
ejpam-6063	180	2	2	DATE
ejpam-6063	180	3	k}.	PERSON
ejpam-6063	182	1	∈	ORG
ejpam-6063	183	1	j ∈	PERSON
ejpam-6063	184	1	1	CARDINAL
ejpam-6063	184	2	2	DATE
ejpam-6063	184	3	k	PERSON
ejpam-6063	184	4	∈	ORG
ejpam-6063	185	1	⊆	CARDINAL
ejpam-6063	186	1	2	CARDINAL
ejpam-6063	188	1	j = k. therefore	PERSON
ejpam-6063	189	1	6	CARDINAL
ejpam-6063	190	1	j. hassan et	PERSON
ejpam-6063	192	1	j. pure	PERSON
ejpam-6063	192	2	18	CARDINAL
ejpam-6063	192	3	2	CARDINAL
ejpam-6063	192	4	2025	CARDINAL
ejpam-6063	192	5	6063 6	DATE
ejpam-6063	192	6	11	CARDINAL
ejpam-6063	192	7	2	CARDINAL
ejpam-6063	193	1	2 ≤ m ≤ n.	QUANTITY
ejpam-6063	193	2	bipartite km	PRODUCT
ejpam-6063	193	3	m. remark 1	PERSON
ejpam-6063	194	1	2	CARDINAL
ejpam-6063	194	2	l(g)∪ i(g	PERSON
ejpam-6063	195	1	⊆	CARDINAL
ejpam-6063	195	2	s. theorem 7	ORG
ejpam-6063	196	1	3 ≤	QUANTITY
ejpam-6063	200	1	1(i	CARDINAL
ejpam-6063	203	1	va	GPE
ejpam-6063	203	2	2	CARDINAL
ejpam-6063	205	1	⊆	CARDINAL
ejpam-6063	205	2	xm	ORG
ejpam-6063	205	3	⊆	CARDINAL
ejpam-6063	205	4	s.	PERSON
ejpam-6063	205	5	xm	ORG
ejpam-6063	205	6	v2, v3	GPE
ejpam-6063	205	7	va+1	PERSON
ejpam-6063	207	1	1	CARDINAL
ejpam-6063	208	1	2	CARDINAL
ejpam-6063	208	2	3	DATE
ejpam-6063	208	3	vt /∈ s.	PERSON
ejpam-6063	212	1	= a.	PERSON
ejpam-6063	212	2	1	CARDINAL
ejpam-6063	212	3	xm	ORG
ejpam-6063	212	4	⊆	CARDINAL
ejpam-6063	213	1	⊆	CARDINAL
ejpam-6063	213	2	d.	NORP
ejpam-6063	213	3	xm	ORG
ejpam-6063	213	4	v2, v3	GPE
ejpam-6063	213	5	va+1	PERSON
ejpam-6063	215	1	\d| ≤ 1	MONEY
ejpam-6063	216	1	\d|	CARDINAL
ejpam-6063	216	2	1	CARDINAL
ejpam-6063	217	1	xm	ORG
ejpam-6063	218	1	xm−1 x3 x2	PERSON
ejpam-6063	220	1	7	CARDINAL
ejpam-6063	220	2	3	CARDINAL
ejpam-6063	224	1	8	CARDINAL
ejpam-6063	225	1	k1+h	PERSON
ejpam-6063	226	1	⊆	CARDINAL
ejpam-6063	226	2	2	CARDINAL
ejpam-6063	226	3	g+h	ORG
ejpam-6063	227	1	∩ i(g	PERSON
ejpam-6063	227	2	j. hassan et	PERSON
ejpam-6063	229	1	j. pure	PERSON
ejpam-6063	229	2	18	CARDINAL
ejpam-6063	229	3	2	CARDINAL
ejpam-6063	229	4	2025	CARDINAL
ejpam-6063	229	5	6063 7	DATE
ejpam-6063	229	6	11	CARDINAL
ejpam-6063	230	1	2	CARDINAL
ejpam-6063	230	2	∈	ORG
ejpam-6063	231	1	∩	PERSON
ejpam-6063	231	2	2	CARDINAL
ejpam-6063	231	3	w ∈ s.	PERSON
ejpam-6063	231	4	⊆	CARDINAL
ejpam-6063	237	1	∈	ORG
ejpam-6063	238	1	i(g	PERSON
ejpam-6063	239	1	xq ∈ e(h	ORG
ejpam-6063	239	2	∈	ORG
ejpam-6063	241	1	∈	ORG
ejpam-6063	242	1	∈	ORG
ejpam-6063	242	2	∩ s. hence	PERSON
ejpam-6063	242	3	2	CARDINAL
ejpam-6063	242	4	2	CARDINAL
ejpam-6063	242	5	2	CARDINAL
ejpam-6063	243	1	1	CARDINAL
ejpam-6063	249	1	1	CARDINAL
ejpam-6063	260	1	g ̸= kn	PERSON
ejpam-6063	263	1	1	CARDINAL
ejpam-6063	267	1	1	CARDINAL
ejpam-6063	267	2	4	CARDINAL
ejpam-6063	268	1	k1+h	PERSON
ejpam-6063	270	1	+ 1	DATE
ejpam-6063	271	1	+ 1	DATE
ejpam-6063	273	1	∩ i(h	PERSON
ejpam-6063	274	1	2	CARDINAL
ejpam-6063	274	2	8	CARDINAL
ejpam-6063	275	1	1	DATE
ejpam-6063	276	1	s0	ORG
ejpam-6063	277	1	8	CARDINAL
ejpam-6063	277	2	∩ i(g	PERSON
ejpam-6063	277	3	j. hassan et	PERSON
ejpam-6063	279	1	j. pure	PERSON
ejpam-6063	279	2	18	CARDINAL
ejpam-6063	279	3	2	CARDINAL
ejpam-6063	279	4	2025	CARDINAL
ejpam-6063	279	5	6063 8	DATE
ejpam-6063	279	6	11 |s0|	QUANTITY
ejpam-6063	280	1	+ 1	DATE
ejpam-6063	281	1	1	CARDINAL
ejpam-6063	282	1	1	CARDINAL
ejpam-6063	282	2	1	CARDINAL
ejpam-6063	283	1	|i(h)| = n	PERSON
ejpam-6063	285	1	⊆	CARDINAL
ejpam-6063	285	2	2	CARDINAL
ejpam-6063	285	3	g+h	ORG
ejpam-6063	286	1	one	CARDINAL
ejpam-6063	286	2	h. (ii	LAW
ejpam-6063	286	3	sg	GPE
ejpam-6063	287	1	2	CARDINAL
ejpam-6063	287	2	g+h	ORG
ejpam-6063	293	1	∈	ORG
ejpam-6063	293	2	g+h	ORG
ejpam-6063	296	1	∈	ORG
ejpam-6063	299	1	sg	GPE
ejpam-6063	303	1	∈	ORG
ejpam-6063	303	2	∈	ORG
ejpam-6063	303	3	pq ∈ e(h	ORG
ejpam-6063	304	1	⊂	GPE
ejpam-6063	304	2	∈	ORG
ejpam-6063	305	1	⊂ s.	PERSON
ejpam-6063	306	1	∈	ORG
ejpam-6063	308	1	|ng+h(z	ORG
ejpam-6063	308	2	|ng+h(z	ORG
ejpam-6063	308	3	2	CARDINAL
ejpam-6063	309	1	2	CARDINAL
ejpam-6063	310	1	9	CARDINAL
ejpam-6063	313	1	min{m+ β(h	PERSON
ejpam-6063	314	1	10	CARDINAL
ejpam-6063	316	1	⊆	CARDINAL
ejpam-6063	316	2	2	CARDINAL
ejpam-6063	316	3	g ◦ h	ORG
ejpam-6063	317	1	g. (ii	PRODUCT
ejpam-6063	317	2	⊆	CARDINAL
ejpam-6063	317	3	w ∈ q.	ORG
ejpam-6063	319	1	2	CARDINAL
ejpam-6063	323	1	g ◦ h implies	ORG
ejpam-6063	323	2	∈	ORG
ejpam-6063	324	1	q. j. hassan et	PERSON
ejpam-6063	326	1	j. pure	PERSON
ejpam-6063	326	2	18	CARDINAL
ejpam-6063	326	3	2	CARDINAL
ejpam-6063	326	4	2025	CARDINAL
ejpam-6063	326	5	6063 9	DATE
ejpam-6063	326	6	11	CARDINAL
ejpam-6063	326	7	2	CARDINAL
ejpam-6063	327	1	⊆	CARDINAL
ejpam-6063	328	1	st ∈	PERSON
ejpam-6063	329	1	∈	ORG
ejpam-6063	330	1	g ◦ h	ORG
ejpam-6063	330	2	∈	ORG
ejpam-6063	330	3	∈	ORG
ejpam-6063	331	1	∈	ORG
ejpam-6063	335	1	g ◦h	ORG
ejpam-6063	335	2	∈	ORG
ejpam-6063	337	1	rv	GPE
ejpam-6063	340	1	vw	GPE
ejpam-6063	341	1	w ∈	PERSON
ejpam-6063	341	2	∈	ORG
ejpam-6063	341	3	∈	ORG
ejpam-6063	342	1	∈	ORG
ejpam-6063	342	2	w ∈	PERSON
ejpam-6063	343	1	∈	ORG
ejpam-6063	343	2	vw	GPE
ejpam-6063	343	3	∈	ORG
ejpam-6063	343	4	d.	NORP
ejpam-6063	344	1	rv	GPE
ejpam-6063	346	1	w ∈ sv	PERSON
ejpam-6063	346	2	vw	GPE
ejpam-6063	346	3	w ∈	ORG
ejpam-6063	346	4	w ∈	PERSON
ejpam-6063	349	1	w ∈	ORG
ejpam-6063	349	2	d.	NORP
ejpam-6063	349	3	vw	GPE
ejpam-6063	349	4	e(g ◦	GPE
ejpam-6063	349	5	w ∈	PERSON
ejpam-6063	351	1	w ∈	ORG
ejpam-6063	352	1	g ◦h.	ORG
ejpam-6063	352	2	\d	ORG
ejpam-6063	352	3	∈	ORG
ejpam-6063	355	1	∈	ORG
ejpam-6063	355	2	∩	ORG
ejpam-6063	356	1	∈	ORG
ejpam-6063	357	1	rv	GPE
ejpam-6063	358	1	∈	ORG
ejpam-6063	359	1	rv	GPE
ejpam-6063	359	2	∈	ORG
ejpam-6063	359	3	rv	GPE
ejpam-6063	362	1	+ 1 ≥ 2	DATE
ejpam-6063	363	1	2	CARDINAL
ejpam-6063	363	2	2	CARDINAL
ejpam-6063	365	1	1)β(g	CARDINAL
ejpam-6063	366	1	1)β(g	CARDINAL
ejpam-6063	368	1	rv = dv ∪ i(hv	ORG
ejpam-6063	368	2	∈	ORG
ejpam-6063	370	1	∪v∈v (g)rv	ORG
ejpam-6063	370	2	2	CARDINAL
ejpam-6063	370	3	10	CARDINAL
ejpam-6063	371	1	∑ v∈q	PERSON
ejpam-6063	371	2	∑ v∈v	PERSON
ejpam-6063	371	3	n(m− β(g	PERSON
ejpam-6063	372	1	1)β(g	CARDINAL
ejpam-6063	373	1	∪v∈v	PERSON
ejpam-6063	373	2	10	CARDINAL
ejpam-6063	374	1	g j. hassan et	PERSON
ejpam-6063	376	1	j. pure	PERSON
ejpam-6063	376	2	18	CARDINAL
ejpam-6063	376	3	2	CARDINAL
ejpam-6063	376	4	2025	CARDINAL
ejpam-6063	376	5	6063 10	DATE
ejpam-6063	376	6	sv	ORG
ejpam-6063	377	1	β(h	ORG
ejpam-6063	377	2	m−	NORP
ejpam-6063	377	3	|x|)n	ORG
ejpam-6063	377	4	β(h	ORG
ejpam-6063	377	5	1)|x|	CARDINAL
ejpam-6063	377	6	β(h	ORG
ejpam-6063	377	7	1)β(g	CARDINAL
ejpam-6063	379	1	0	CARDINAL
ejpam-6063	381	1	4.	CARDINAL
ejpam-6063	381	2	2	CARDINAL
ejpam-6063	382	1	2	CARDINAL
ejpam-6063	383	1	1	CARDINAL
ejpam-6063	383	2	2	DATE
ejpam-6063	384	1	2	CARDINAL
ejpam-6063	384	2	two	CARDINAL
ejpam-6063	384	3	2	CARDINAL
ejpam-6063	385	1	2	CARDINAL
ejpam-6063	387	1	np	ORG
ejpam-6063	387	2	2	CARDINAL
ejpam-6063	387	3	np	ORG
ejpam-6063	389	1	-iligan institute of technology	ORG
ejpam-6063	389	2	iligan city	GPE
ejpam-6063	389	3	mindanao state university	ORG
ejpam-6063	389	4	korea university	ORG
ejpam-6063	389	5	mindanao state university for	ORG
ejpam-6063	390	1	1	CARDINAL
ejpam-6063	390	2	s. halper	PERSON
ejpam-6063	390	3	g. vezeau	PERSON
ejpam-6063	390	4	d. cetnar	PERSON
ejpam-6063	390	5	a. hossain	PERSON
ejpam-6063	390	6	h. salis	PERSON
ejpam-6063	391	1	j. hassan et	PERSON
ejpam-6063	393	1	j. pure	PERSON
ejpam-6063	393	2	18	CARDINAL
ejpam-6063	393	3	2	CARDINAL
ejpam-6063	393	4	2025	CARDINAL
ejpam-6063	393	5	6063 11	DATE
ejpam-6063	393	6	11	CARDINAL
ejpam-6063	394	1	37(11):1294–1301	DATE
ejpam-6063	394	2	2019	DATE
ejpam-6063	395	1	2	CARDINAL
ejpam-6063	395	2	a. amutha	PERSON
ejpam-6063	397	1	procedia computer science	ORG
ejpam-6063	397	2	87:164–171	CARDINAL
ejpam-6063	397	3	2016	DATE
ejpam-6063	398	1	3	CARDINAL
ejpam-6063	398	2	r. swain	PERSON
ejpam-6063	398	3	c. revelle	PERSON
ejpam-6063	398	4	l. bercman	PERSON
ejpam-6063	400	1	america	GPE
ejpam-6063	400	2	1971	DATE
ejpam-6063	401	1	4	CARDINAL
ejpam-6063	403	1	plenum press	ORG
ejpam-6063	403	2	new york	GPE
ejpam-6063	403	3	85–103	DATE
ejpam-6063	403	4	1972	DATE
ejpam-6063	404	1	5	CARDINAL
ejpam-6063	404	2	garey	ORG
ejpam-6063	404	3	johnson	PERSON
ejpam-6063	406	1	siam journal	ORG
ejpam-6063	406	2	32:826–834, 1977	DATE
ejpam-6063	407	1	6	CARDINAL
ejpam-6063	407	2	garey	ORG
ejpam-6063	407	3	d.s. johnson	PERSON
ejpam-6063	407	4	l. stockmeyer	PERSON
ejpam-6063	409	1	sixth	ORDINAL
ejpam-6063	409	2	annual	DATE
ejpam-6063	409	3	47	CARDINAL
ejpam-6063	409	4	63, 1974	DATE
ejpam-6063	410	1	7	CARDINAL
ejpam-6063	410	2	mahmoodian	NORP
ejpam-6063	411	1	generalized petersen	ORG
ejpam-6063	412	1	australian	NORP
ejpam-6063	412	2	combinatorics	ORG
ejpam-6063	412	3	40:253–264, 2008	DATE
ejpam-6063	413	1	8	CARDINAL
ejpam-6063	413	2	j. hassan	PERSON
ejpam-6063	413	3	m. a. bonsocan	PERSON
ejpam-6063	413	4	r. rasid	PERSON
ejpam-6063	413	5	a. sappari	PERSON
ejpam-6063	416	1	j.	PERSON
ejpam-6063	416	2	17(2):1038–1045	CARDINAL
ejpam-6063	416	3	2024	DATE
ejpam-6063	417	1	9	CARDINAL
ejpam-6063	417	2	m. henning	PERSON
ejpam-6063	417	3	a. yeo	PERSON
ejpam-6063	419	1	the electric journal	ORG
ejpam-6063	419	2	2012	DATE
ejpam-6063	420	1	10	CARDINAL
ejpam-6063	420	2	r. ravi	PERSON
ejpam-6063	422	1	39:87–93, 1992	DATE
ejpam-6063	423	1	11	CARDINAL
ejpam-6063	423	2	c. suseendran	PERSON
ejpam-6063	425	1	9(2	CARDINAL
ejpam-6063	425	2	2017	DATE
ejpam-6063	426	1	12	CARDINAL
ejpam-6063	426	2	l. sathikala	PERSON
ejpam-6063	426	3	k. k. basari	PERSON
ejpam-6063	426	4	k. subramanian	PERSON
ejpam-6063	428	1	turkish	NORP
ejpam-6063	428	2	2021	CARDINAL
ejpam-6063	429	1	13	CARDINAL
ejpam-6063	429	2	j. uy	PERSON
ejpam-6063	431	1	journal of research	ORG
ejpam-6063	431	2	1:49–53, 2003	DATE
ejpam-6063	432	1	14	CARDINAL
ejpam-6063	432	2	m. blidia	PERSON
ejpam-6063	432	3	m. chellali	PERSON
ejpam-6063	432	4	o. favaron	PERSON
ejpam-6063	433	1	2	CARDINAL
ejpam-6063	435	1	j. combin	PERSON
ejpam-6063	435	2	33:317–327, 2005	DATE
ejpam-6063	436	1	15	CARDINAL
ejpam-6063	436	2	m. chellali	PERSON
ejpam-6063	437	1	2	CARDINAL
ejpam-6063	438	1	26:5–12	DATE
ejpam-6063	438	2	2006	DATE
ejpam-6063	439	1	16	CARDINAL
ejpam-6063	439	2	s. canoy jr.	PERSON
ejpam-6063	439	3	2	CARDINAL
ejpam-6063	439	4	2	CARDINAL
ejpam-6063	440	1	9(114):5651–5659	CARDINAL
ejpam-6063	440	2	2015	DATE
ejpam-6063	441	1	17	CARDINAL
ejpam-6063	441	2	s. canoy jr and b. domoloan	PERSON
ejpam-6063	442	1	2	CARDINAL
ejpam-6063	443	1	20(1):25	CARDINAL
ejpam-6063	443	2	2019	DATE
ejpam-6063	444	1	18	CARDINAL
ejpam-6063	444	2	s. canoy jr, f. jamil	PERSON
ejpam-6063	444	3	r.j. fortosa	PERSON
ejpam-6063	444	4	j. macalisang	PERSON
ejpam-6063	445	1	2	CARDINAL
ejpam-6063	446	1	european journal	ORG
ejpam-6063	446	2	17(3):1539–1552	CARDINAL
ejpam-6063	446	3	2024	DATE
ejpam-6063	447	1	19	CARDINAL
ejpam-6063	447	2	f. buckley	PERSON
ejpam-6063	447	3	f. harary	PERSON
ejpam-6063	449	1	addison-wesley	ORG
ejpam-6063	449	2	redwood city	GPE
ejpam-6063	449	3	1990	DATE