id	sid	eid	entity	type
ejpam-5157	1	1	european journal	ORG
ejpam-5157	2	1	17	CARDINAL
ejpam-5157	2	2	2	CARDINAL
ejpam-5157	2	3	2024	DATE
ejpam-5157	2	4	1038-1045	CARDINAL
ejpam-5157	2	5	1307-5543	CARDINAL
ejpam-5157	2	6	new york	GPE
ejpam-5157	2	7	javier a. hassan1,∗	PERSON
ejpam-5157	2	8	maria andrea o.	PERSON
ejpam-5157	2	9	bonsocan2	PERSON
ejpam-5157	2	10	regimar a. rasid1	PERSON
ejpam-5157	2	11	amil-shab s. sappari1 1mathematics	PERSON
ejpam-5157	2	12	sciences department	ORG
ejpam-5157	2	13	msu tawi-tawi college of technology	ORG
ejpam-5157	2	14	2department	TIME
ejpam-5157	2	15	de davao university	ORG
ejpam-5157	2	16	e. jacinto street	PERSON
ejpam-5157	2	17	8016	DATE
ejpam-5157	2	18	davao city	GPE
ejpam-5157	3	1	philippines	GPE
ejpam-5157	5	1	⊆	CARDINAL
ejpam-5157	5	2	zero	CARDINAL
ejpam-5157	5	3	at least two	CARDINAL
ejpam-5157	6	1	two	CARDINAL
ejpam-5157	9	1	2020	DATE
ejpam-5157	9	2	05c69	CARDINAL
ejpam-5157	9	3	1	CARDINAL
ejpam-5157	11	1	at least one	CARDINAL
ejpam-5157	16	1	1	CARDINAL
ejpam-5157	16	2	12	DATE
ejpam-5157	16	3	13	CARDINAL
ejpam-5157	18	1	https://doi.org/10.29020/nybg.ejpam.v17i2.5157	TIME
ejpam-5157	18	2	javierhassan@msutawi-tawi.edu.ph	PERSON
ejpam-5157	18	3	j. a. hassan	PERSON
ejpam-5157	19	1	mariaandrea.bonsocan@g.msuiit.edu.ph	GPE
ejpam-5157	19	2	m. a. bonsocan	PERSON
ejpam-5157	19	3	regimarrasid@msutawi-tawi.edu.ph	GPE
ejpam-5157	19	4	r. a. rasid	PERSON
ejpam-5157	19	5	amilshabsappari@msutawi-tawi.edu.ph (a. s. sappari	ORG
ejpam-5157	19	6	1038	CARDINAL
ejpam-5157	20	1	2023	CARDINAL
ejpam-5157	21	1	j. a. hassan et al	PERSON
ejpam-5157	22	1	j. pure	PERSON
ejpam-5157	22	2	17	CARDINAL
ejpam-5157	22	3	2	CARDINAL
ejpam-5157	22	4	2024	CARDINAL
ejpam-5157	22	5	1038	CARDINAL
ejpam-5157	23	1	1	CARDINAL
ejpam-5157	26	1	two	CARDINAL
ejpam-5157	27	1	2–11	CARDINAL
ejpam-5157	31	1	2	CARDINAL
ejpam-5157	32	1	⊆	CARDINAL
ejpam-5157	32	2	s.	GPE
ejpam-5157	32	3	⊆	CARDINAL
ejpam-5157	32	4	∈	ORG
ejpam-5157	32	5	zero	CARDINAL
ejpam-5157	32	6	at least two	CARDINAL
ejpam-5157	33	1	two	CARDINAL
ejpam-5157	34	1	g and h	ORG
ejpam-5157	34	2	g+h	ORG
ejpam-5157	35	1	∈	ORG
ejpam-5157	36	1	3	CARDINAL
ejpam-5157	37	1	1	CARDINAL
ejpam-5157	39	1	⊆	CARDINAL
ejpam-5157	39	2	zero	CARDINAL
ejpam-5157	39	3	at least two	CARDINAL
ejpam-5157	39	4	1	CARDINAL
ejpam-5157	42	1	vertex u4	ORG
ejpam-5157	42	2	three	CARDINAL
ejpam-5157	42	3	vertices u5	PERSON
ejpam-5157	42	4	u7	ORG
ejpam-5157	42	5	zero	CARDINAL
ejpam-5157	42	6	q.	PERSON
ejpam-5157	43	1	4	CARDINAL
ejpam-5157	43	2	j. a. hassan et al	PERSON
ejpam-5157	44	1	j. pure	PERSON
ejpam-5157	44	2	17	CARDINAL
ejpam-5157	44	3	2	CARDINAL
ejpam-5157	44	4	2024	CARDINAL
ejpam-5157	44	5	1038-1045	CARDINAL
ejpam-5157	44	6	u4 u2 u5 u1	PERSON
ejpam-5157	44	7	1	CARDINAL
ejpam-5157	44	8	4	CARDINAL
ejpam-5157	46	1	1 ≤	QUANTITY
ejpam-5157	46	2	⊆	CARDINAL
ejpam-5157	50	1	1	CARDINAL
ejpam-5157	50	2	1	CARDINAL
ejpam-5157	52	1	1 ≤	QUANTITY
ejpam-5157	53	1	u3 u4 u2 u5 u1 g	ORG
ejpam-5157	53	2	u7 j. a. hassan et al	PERSON
ejpam-5157	54	1	j. pure	PERSON
ejpam-5157	54	2	17	CARDINAL
ejpam-5157	54	3	2	CARDINAL
ejpam-5157	54	4	2024	CARDINAL
ejpam-5157	54	5	1038	CARDINAL
ejpam-5157	56	1	three	CARDINAL
ejpam-5157	56	2	two	CARDINAL
ejpam-5157	59	1	u4, u5	ORG
ejpam-5157	60	1	only one	CARDINAL
ejpam-5157	61	1	⊂	GPE
ejpam-5157	63	1	1	CARDINAL
ejpam-5157	65	1	∈	ORG
ejpam-5157	65	2	dpn(vi	GPE
ejpam-5157	65	3	1	CARDINAL
ejpam-5157	65	4	j ∈	PERSON
ejpam-5157	65	5	1	CARDINAL
ejpam-5157	65	6	2	DATE
ejpam-5157	71	1	vi	PERSON
ejpam-5157	71	2	∈	ORG
ejpam-5157	72	1	dpn(vi	GPE
ejpam-5157	72	2	1	CARDINAL
ejpam-5157	72	3	j ∈	PERSON
ejpam-5157	72	4	1	CARDINAL
ejpam-5157	72	5	2	DATE
ejpam-5157	75	1	j = n	PERSON
ejpam-5157	75	2	only one	CARDINAL
ejpam-5157	76	1	q.	GPE
ejpam-5157	76	2	q.	GPE
ejpam-5157	77	1	j ̸= n.	PERSON
ejpam-5157	77	2	dpn(vi	GPE
ejpam-5157	77	3	1	CARDINAL
ejpam-5157	77	4	vi	PERSON
ejpam-5157	77	5	only one	CARDINAL
ejpam-5157	78	1	q.	PERSON
ejpam-5157	79	1	only one	CARDINAL
ejpam-5157	80	1	q.	GPE
ejpam-5157	80	2	v2	PRODUCT
ejpam-5157	80	3	only one	CARDINAL
ejpam-5157	81	1	q.	GPE
ejpam-5157	84	1	j. a. hassan et al	PERSON
ejpam-5157	85	1	j. pure	PERSON
ejpam-5157	85	2	17	CARDINAL
ejpam-5157	85	3	2	CARDINAL
ejpam-5157	85	4	2024	CARDINAL
ejpam-5157	85	5	1038	CARDINAL
ejpam-5157	85	6	1042	CARDINAL
ejpam-5157	85	7	2	CARDINAL
ejpam-5157	89	1	∈	ORG
ejpam-5157	89	2	1	CARDINAL
ejpam-5157	89	3	1	CARDINAL
ejpam-5157	92	1	1	CARDINAL
ejpam-5157	92	2	2	CARDINAL
ejpam-5157	97	1	1	CARDINAL
ejpam-5157	97	2	2	CARDINAL
ejpam-5157	98	1	4	CARDINAL
ejpam-5157	100	1	∈	ORG
ejpam-5157	100	2	∈	ORG
ejpam-5157	101	1	dpn(vi	GPE
ejpam-5157	101	2	1	CARDINAL
ejpam-5157	101	3	1	CARDINAL
ejpam-5157	102	1	vt	GPE
ejpam-5157	102	2	2	CARDINAL
ejpam-5157	102	3	2	CARDINAL
ejpam-5157	107	1	⊆	CARDINAL
ejpam-5157	109	1	⊆	CARDINAL
ejpam-5157	110	1	1	CARDINAL
ejpam-5157	112	1	n ≥ 5 and odd	DATE
ejpam-5157	118	1	2	CARDINAL
ejpam-5157	120	1	βcer(cn	NORP
ejpam-5157	126	1	3	CARDINAL
ejpam-5157	126	2	2	CARDINAL
ejpam-5157	126	3	2	CARDINAL
ejpam-5157	126	4	βcer(c3	DATE
ejpam-5157	127	1	2	CARDINAL
ejpam-5157	127	2	vi ∈	PERSON
ejpam-5157	127	3	1	CARDINAL
ejpam-5157	127	4	2	DATE
ejpam-5157	127	5	3	CARDINAL
ejpam-5157	127	6	c3	ORG
ejpam-5157	129	1	1	CARDINAL
ejpam-5157	130	1	2 or i	CARDINAL
ejpam-5157	130	2	3	CARDINAL
ejpam-5157	130	3	βcer(c3	DATE
ejpam-5157	131	1	3	CARDINAL
ejpam-5157	131	2	n ≥ 5 and odd	DATE
ejpam-5157	132	1	∈	ORG
ejpam-5157	132	2	j ∈	PERSON
ejpam-5157	132	3	1	CARDINAL
ejpam-5157	132	4	2	DATE
ejpam-5157	134	1	1	CARDINAL
ejpam-5157	134	2	lemma 2	ORG
ejpam-5157	135	1	3	CARDINAL
ejpam-5157	136	1	2	CARDINAL
ejpam-5157	136	2	wlog	ORG
ejpam-5157	138	1	vn−2 ∈ q.	PERSON
ejpam-5157	138	2	q.	GPE
ejpam-5157	138	3	vn−1 ∈	ORG
ejpam-5157	140	1	vn−1 ∈ q.	ORG
ejpam-5157	141	1	1	CARDINAL
ejpam-5157	141	2	lemma 2.	ORG
ejpam-5157	141	3	∈	ORG
ejpam-5157	142	1	βcer(cn	NORP
ejpam-5157	149	1	βcer(cn	NORP
ejpam-5157	150	1	j. a. hassan et al	PERSON
ejpam-5157	151	1	j. pure	PERSON
ejpam-5157	151	2	17	CARDINAL
ejpam-5157	151	3	2	CARDINAL
ejpam-5157	151	4	2024	CARDINAL
ejpam-5157	151	5	1038	CARDINAL
ejpam-5157	151	6	1043	CARDINAL
ejpam-5157	151	7	3	CARDINAL
ejpam-5157	157	1	βcer(km	PERSON
ejpam-5157	161	1	1	CARDINAL
ejpam-5157	163	1	only one	CARDINAL
ejpam-5157	164	1	1	CARDINAL
ejpam-5157	166	1	1	CARDINAL
ejpam-5157	168	1	m. theorem 4	PERSON
ejpam-5157	169	1	two	CARDINAL
ejpam-5157	170	1	⊆	CARDINAL
ejpam-5157	171	1	one	CARDINAL
ejpam-5157	171	2	h. (ii	LAW
ejpam-5157	171	3	qg	ORG
ejpam-5157	177	1	qg ̸=	PERSON
ejpam-5157	179	1	⊆	CARDINAL
ejpam-5157	181	1	⊆	CARDINAL
ejpam-5157	181	2	zero	CARDINAL
ejpam-5157	181	3	at least two	CARDINAL
ejpam-5157	182	1	∈	ORG
ejpam-5157	182	2	⊆	CARDINAL
ejpam-5157	184	1	2	CARDINAL
ejpam-5157	188	1	5	CARDINAL
ejpam-5157	190	1	⊆	CARDINAL
ejpam-5157	191	1	h. j. a. hassan et al	PERSON
ejpam-5157	192	1	j. pure	PERSON
ejpam-5157	192	2	17	CARDINAL
ejpam-5157	192	3	2	CARDINAL
ejpam-5157	192	4	2024	CARDINAL
ejpam-5157	192	5	1038	CARDINAL
ejpam-5157	195	1	g+h	ORG
ejpam-5157	195	2	qg ̸=	PERSON
ejpam-5157	196	1	qg = v	PERSON
ejpam-5157	197	1	g+h	ORG
ejpam-5157	197	2	y ∈ q.	PERSON
ejpam-5157	197	3	⊆	CARDINAL
ejpam-5157	199	1	⊆	CARDINAL
ejpam-5157	199	2	zero	CARDINAL
ejpam-5157	199	3	at least two	CARDINAL
ejpam-5157	200	1	g+h	ORG
ejpam-5157	201	1	⊆	CARDINAL
ejpam-5157	202	1	3	CARDINAL
ejpam-5157	206	1	+ 1	DATE
ejpam-5157	206	2	βcer(fn	NORP
ejpam-5157	206	3	1	CARDINAL
ejpam-5157	206	4	n ≥ 3 and odd	DATE
ejpam-5157	208	1	1	CARDINAL
ejpam-5157	209	1	4.	CARDINAL
ejpam-5157	216	1	mindanao	GPE
ejpam-5157	216	2	ateneo de davao university	ORG
ejpam-5157	217	1	1045	CARDINAL
ejpam-5157	218	1	1	CARDINAL
ejpam-5157	218	2	m.a.	PERSON
ejpam-5157	218	3	bonsocan	NORP
ejpam-5157	218	4	j. hassan	PERSON
ejpam-5157	218	5	s. dagondon.	PERSON
ejpam-5157	221	1	j. pure	PERSON
ejpam-5157	221	2	17(1):93–104	DATE
ejpam-5157	221	3	2024	DATE
ejpam-5157	222	1	2	CARDINAL
ejpam-5157	222	2	j. hassan	PERSON
ejpam-5157	222	3	bakkang	PERSON
ejpam-5157	222	4	sappari	PERSON
ejpam-5157	223	1	j2-hop domination	ORG
ejpam-5157	225	1	j. pure	PERSON
ejpam-5157	225	2	16(4):2118–2131	DATE
ejpam-5157	225	3	2023	CARDINAL
ejpam-5157	226	1	3	CARDINAL
ejpam-5157	226	2	j. hassan	PERSON
ejpam-5157	226	3	s. canoy.	PERSON
ejpam-5157	227	1	grundy	PERSON
ejpam-5157	230	1	j. pure	PERSON
ejpam-5157	231	1	16(2):1212–1227	DATE
ejpam-5157	231	2	2023	CARDINAL
ejpam-5157	232	1	4	CARDINAL
ejpam-5157	232	2	j. hassan	PERSON
ejpam-5157	232	3	s. canoy jr.	PERSON
ejpam-5157	233	1	grundy	PERSON
ejpam-5157	233	2	grundy	PERSON
ejpam-5157	235	1	j. pure	PERSON
ejpam-5157	236	1	16(2):1154–1166	CARDINAL
ejpam-5157	236	2	2023	CARDINAL
ejpam-5157	237	1	5	CARDINAL
ejpam-5157	237	2	j. hassan	PERSON
ejpam-5157	237	3	s. canoy jr.	PERSON
ejpam-5157	238	1	grundy	PERSON
ejpam-5157	240	1	j. pure	PERSON
ejpam-5157	240	2	2023	CARDINAL
ejpam-5157	241	1	6	CARDINAL
ejpam-5157	241	2	j. hassan	PERSON
ejpam-5157	241	3	a. lintasan	PERSON
ejpam-5157	241	4	n.h.	GPE
ejpam-5157	242	1	mohammad	PERSON
ejpam-5157	245	1	j. pure	PERSON
ejpam-5157	245	2	2023	CARDINAL
ejpam-5157	246	1	7	CARDINAL
ejpam-5157	246	2	j. hassan	PERSON
ejpam-5157	246	3	laja	PERSON
ejpam-5157	250	1	j. pure	PERSON
ejpam-5157	250	2	16(4):2035–2048	CARDINAL
ejpam-5157	250	3	2023	CARDINAL
ejpam-5157	251	1	8	CARDINAL
ejpam-5157	251	2	s. canoy jr.	PERSON
ejpam-5157	251	3	j. hassan	PERSON
ejpam-5157	254	1	j. pure	PERSON
ejpam-5157	254	2	15(4):1783–1796	CARDINAL
ejpam-5157	254	3	2022	CARDINAL
ejpam-5157	255	1	9	CARDINAL
ejpam-5157	255	2	j. manditong	PERSON
ejpam-5157	255	3	j. hassan	PERSON
ejpam-5157	255	4	laja	PERSON
ejpam-5157	255	5	nhm	ORG
ejpam-5157	255	6	mohammad	PERSON
ejpam-5157	255	7	su. kamdon.	PERSON
ejpam-5157	258	1	j. pure	PERSON
ejpam-5157	259	1	16(3):1817–1829	DATE
ejpam-5157	259	2	2023	CARDINAL
ejpam-5157	260	1	10	CARDINAL
ejpam-5157	260	2	j. manditong	PERSON
ejpam-5157	260	3	a. tapeing	PERSON
ejpam-5157	260	4	j. hassan	PERSON
ejpam-5157	260	5	a.r. bakkang	PERSON
ejpam-5157	260	6	n.h. mohammad	GPE
ejpam-5157	260	7	s.u. kamdon	GPE
ejpam-5157	261	1	zero	CARDINAL
ejpam-5157	263	1	j. pure	PERSON
ejpam-5157	264	1	2024	DATE
ejpam-5157	265	1	11	CARDINAL
ejpam-5157	265	2	j. mohamad	PERSON
ejpam-5157	265	3	h. rara	PERSON
ejpam-5157	268	1	j. pure	PERSON
ejpam-5157	268	2	2021	CARDINAL
ejpam-5157	269	1	12	CARDINAL
ejpam-5157	272	1	77(4):543–547	PERSON
ejpam-5157	272	2	2012	DATE
ejpam-5157	273	1	13	CARDINAL
ejpam-5157	273	2	j. uy	PERSON
ejpam-5157	275	1	115(9):5707–5714	DATE
ejpam-5157	275	2	2015	DATE