id	sid	eid	entity	type
ejpam-4946	1	1	european journal	ORG
ejpam-4946	2	1	17	CARDINAL
ejpam-4946	2	2	1	CARDINAL
ejpam-4946	2	3	2024	DATE
ejpam-4946	2	4	124	CARDINAL
ejpam-4946	2	5	1307-5543	CARDINAL
ejpam-4946	2	6	new york	GPE
ejpam-4946	2	7	javier a. hassan1	PERSON
ejpam-4946	2	8	aziz b.	PERSON
ejpam-4946	2	9	b. copel1	PERSON
ejpam-4946	2	10	bakkang2	PERSON
ejpam-4946	2	11	sharifa dianne a. aming3 1mathematics	PERSON
ejpam-4946	2	12	sciences department	ORG
ejpam-4946	2	13	msu tawi-tawi college of technology	ORG
ejpam-4946	2	14	2	CARDINAL
ejpam-4946	2	15	secondary	ORDINAL
ejpam-4946	2	16	msu tawi-tawi college of technology	ORG
ejpam-4946	2	17	3	CARDINAL
ejpam-4946	2	18	msu tawi-tawi college	PERSON
ejpam-4946	2	19	philippines	GPE
ejpam-4946	4	1	j2	ORG
ejpam-4946	6	1	two	CARDINAL
ejpam-4946	9	1	j2	ORG
ejpam-4946	10	1	2020	DATE
ejpam-4946	10	2	05c69	CARDINAL
ejpam-4946	10	3	j2-independent	ORG
ejpam-4946	10	4	j2	ORG
ejpam-4946	10	5	1	CARDINAL
ejpam-4946	10	6	one	CARDINAL
ejpam-4946	12	1	two	CARDINAL
ejpam-4946	14	1	j. hassan	PERSON
ejpam-4946	15	1	aziztapeing@msutawi-tawi.edu.ph	GPE
ejpam-4946	15	2	a. tapeing	PERSON
ejpam-4946	15	3	hounamcopel@msutawi-tawi.edu.ph	ORG
ejpam-4946	15	4	h. copel	PERSON
ejpam-4946	15	5	alcynbakkang@msutawi-tawi.edu.ph	GPE
ejpam-4946	15	6	a. bakkang	PERSON
ejpam-4946	15	7	sharifadianneaming@msutawi-tawi.edu.ph	PERSON
ejpam-4946	15	8	s. aming	PERSON
ejpam-4946	15	9	124	CARDINAL
ejpam-4946	15	10	2024	CARDINAL
ejpam-4946	16	1	a. tapeing et al	PERSON
ejpam-4946	17	1	j. pure	PERSON
ejpam-4946	17	2	17	CARDINAL
ejpam-4946	17	3	1	CARDINAL
ejpam-4946	17	4	2024	CARDINAL
ejpam-4946	17	5	124	CARDINAL
ejpam-4946	17	6	134 125	CARDINAL
ejpam-4946	17	7	∪{v	TIME
ejpam-4946	17	8	i(g	PERSON
ejpam-4946	17	9	1992	DATE
ejpam-4946	17	10	jiuqiang	PERSON
ejpam-4946	17	11	i(g	PERSON
ejpam-4946	18	1	1	CARDINAL
ejpam-4946	18	2	bipartite	ORG
ejpam-4946	19	1	see[1–4	ORG
ejpam-4946	19	2	6	DATE
ejpam-4946	19	3	7	DATE
ejpam-4946	19	4	9–11	CARDINAL
ejpam-4946	20	1	2022	CARDINAL
ejpam-4946	20	2	j. hassan et al	PERSON
ejpam-4946	21	1	6	CARDINAL
ejpam-4946	22	1	y ∈ s	PERSON
ejpam-4946	22	2	2	CARDINAL
ejpam-4946	24	1	two	CARDINAL
ejpam-4946	26	1	j. hassan et al	PERSON
ejpam-4946	27	1	5	CARDINAL
ejpam-4946	27	2	j2-hop domination	ORG
ejpam-4946	28	1	n2 g[vi]\n2	ORG
ejpam-4946	28	2	j ∈	PERSON
ejpam-4946	28	3	1	CARDINAL
ejpam-4946	28	4	2	DATE
ejpam-4946	31	1	j2	ORG
ejpam-4946	31	2	∈	ORG
ejpam-4946	31	3	∈	ORG
ejpam-4946	31	4	dg(a	GPE
ejpam-4946	32	1	2	CARDINAL
ejpam-4946	33	1	j2-hop	ORG
ejpam-4946	33	2	j2-hop	ORG
ejpam-4946	34	1	two	CARDINAL
ejpam-4946	35	1	j2-independence	ORG
ejpam-4946	37	1	j2	ORG
ejpam-4946	38	1	two	CARDINAL
ejpam-4946	40	1	a. tapeing et al	PERSON
ejpam-4946	41	1	j. pure	PERSON
ejpam-4946	41	2	17	CARDINAL
ejpam-4946	41	3	1	CARDINAL
ejpam-4946	41	4	2024	CARDINAL
ejpam-4946	41	5	124	CARDINAL
ejpam-4946	42	1	two	CARDINAL
ejpam-4946	42	2	xy	ORG
ejpam-4946	43	1	xy ∈	PERSON
ejpam-4946	45	1	⊆	CARDINAL
ejpam-4946	46	1	⋃	PERSON
ejpam-4946	54	1	xn−1xn	ORG
ejpam-4946	61	1	xn	ORG
ejpam-4946	65	1	xn−1xn	ORG
ejpam-4946	65	2	xnx1	DATE
ejpam-4946	67	1	kn	PERSON
ejpam-4946	69	1	∈	ORG
ejpam-4946	70	1	two	CARDINAL
ejpam-4946	71	1	g and h	ORG
ejpam-4946	71	2	g+h	ORG
ejpam-4946	72	1	∈	ORG
ejpam-4946	73	1	g ◦h	ORG
ejpam-4946	73	2	one	CARDINAL
ejpam-4946	73	3	two	CARDINAL
ejpam-4946	73	4	two	CARDINAL
ejpam-4946	77	1	α(g)(resp	PRODUCT
ejpam-4946	81	1	α(g	PERSON
ejpam-4946	83	1	3	CARDINAL
ejpam-4946	85	1	1	CARDINAL
ejpam-4946	87	1	j2-independent a. tapeing et al	ORG
ejpam-4946	88	1	j. pure	PERSON
ejpam-4946	88	2	17	CARDINAL
ejpam-4946	88	3	1	CARDINAL
ejpam-4946	88	4	2024	CARDINAL
ejpam-4946	88	5	124	CARDINAL
ejpam-4946	88	6	j2	ORG
ejpam-4946	89	1	1	CARDINAL
ejpam-4946	89	2	1	CARDINAL
ejpam-4946	92	1	n2 k	ORG
ejpam-4946	93	1	n2 k	PERSON
ejpam-4946	95	1	n2 k	PERSON
ejpam-4946	96	1	n2 k	ORG
ejpam-4946	98	1	n2 k [a]\n2 k	PERSON
ejpam-4946	99	1	n2 k	PERSON
ejpam-4946	101	1	n2 k	PERSON
ejpam-4946	103	1	n2 k	PERSON
ejpam-4946	105	1	n2 k	PERSON
ejpam-4946	106	1	n2 k	PERSON
ejpam-4946	108	1	n2 k	PERSON
ejpam-4946	110	1	n2 k	PERSON
ejpam-4946	112	1	n2 k	PERSON
ejpam-4946	114	1	n2 k	PERSON
ejpam-4946	116	1	n2 k	PERSON
ejpam-4946	118	1	n2 k	PERSON
ejpam-4946	121	1	4	CARDINAL
ejpam-4946	121	2	1	CARDINAL
ejpam-4946	121	3	graph k	PERSON
ejpam-4946	121	4	4	CARDINAL
ejpam-4946	121	5	1	CARDINAL
ejpam-4946	123	1	∈	ORG
ejpam-4946	123	2	j2-indeppendent	ORG
ejpam-4946	125	1	α(g	PERSON
ejpam-4946	125	2	1 ≤	QUANTITY
ejpam-4946	128	1	α(g	PERSON
ejpam-4946	129	1	∈	ORG
ejpam-4946	129	2	1	CARDINAL
ejpam-4946	131	1	1 ≤	QUANTITY
ejpam-4946	132	1	a. tapeing et al	PERSON
ejpam-4946	133	1	j. pure	PERSON
ejpam-4946	133	2	17	CARDINAL
ejpam-4946	133	3	1	CARDINAL
ejpam-4946	133	4	2024	CARDINAL
ejpam-4946	133	5	124	CARDINAL
ejpam-4946	133	6	128	CARDINAL
ejpam-4946	133	7	2	CARDINAL
ejpam-4946	136	1	2	CARDINAL
ejpam-4946	140	1	α(g	PERSON
ejpam-4946	141	1	m+ 1.	DATE
ejpam-4946	142	1	vi	PERSON
ejpam-4946	142	2	1	CARDINAL
ejpam-4946	142	3	1	CARDINAL
ejpam-4946	142	4	2	DATE
ejpam-4946	144	1	m+1	CARDINAL
ejpam-4946	144	2	1	CARDINAL
ejpam-4946	144	3	2	DATE
ejpam-4946	146	1	m+1	CARDINAL
ejpam-4946	146	2	α(g)−	ORG
ejpam-4946	148	1	m+	CARDINAL
ejpam-4946	148	2	1− 1	TIME
ejpam-4946	148	3	= m. since m	PERSON
ejpam-4946	149	1	v2 v3v4 v1 vm+1 v6 v5 u	PERSON
ejpam-4946	151	1	2	CARDINAL
ejpam-4946	152	1	1	CARDINAL
ejpam-4946	159	1	⊆	CARDINAL
ejpam-4946	159	2	1	CARDINAL
ejpam-4946	164	1	∈	PRODUCT
ejpam-4946	165	1	j ∈	PERSON
ejpam-4946	165	2	1	CARDINAL
ejpam-4946	165	3	2	DATE
ejpam-4946	167	1	n2 g[ai]\n2	PERSON
ejpam-4946	168	1	j ∈	PERSON
ejpam-4946	168	2	1	CARDINAL
ejpam-4946	168	3	2	DATE
ejpam-4946	171	1	2	CARDINAL
ejpam-4946	173	1	1	CARDINAL
ejpam-4946	175	1	a. tapeing et al	PERSON
ejpam-4946	176	1	j. pure	PERSON
ejpam-4946	176	2	17	CARDINAL
ejpam-4946	176	3	1	CARDINAL
ejpam-4946	176	4	2024	CARDINAL
ejpam-4946	176	5	124	CARDINAL
ejpam-4946	178	1	α(g	PERSON
ejpam-4946	179	1	1	CARDINAL
ejpam-4946	179	2	1	CARDINAL
ejpam-4946	181	1	n2 p3	PRODUCT
ejpam-4946	183	1	1	CARDINAL
ejpam-4946	184	1	αj2(p3	PERSON
ejpam-4946	184	2	1	CARDINAL
ejpam-4946	185	1	3	CARDINAL
ejpam-4946	187	1	α(g	PERSON
ejpam-4946	188	1	α(g	PERSON
ejpam-4946	191	1	α(g	PERSON
ejpam-4946	192	1	α(g	PERSON
ejpam-4946	193	1	4	CARDINAL
ejpam-4946	197	1	1	CARDINAL
ejpam-4946	197	2	3	CARDINAL
ejpam-4946	197	3	5	CARDINAL
ejpam-4946	197	4	7	CARDINAL
ejpam-4946	199	1	1	CARDINAL
ejpam-4946	200	1	4	CARDINAL
ejpam-4946	202	1	1	CARDINAL
ejpam-4946	202	2	n2 c4	ORG
ejpam-4946	203	1	1	CARDINAL
ejpam-4946	203	2	5	CARDINAL
ejpam-4946	205	1	c5	ORG
ejpam-4946	206	1	n2 c5	ORG
ejpam-4946	206	2	n2 c3	PERSON
ejpam-4946	207	1	n2 c5	ORG
ejpam-4946	208	1	n2 c3	PERSON
ejpam-4946	209	1	c5	GPE
ejpam-4946	209	2	2	CARDINAL
ejpam-4946	209	3	2	CARDINAL
ejpam-4946	212	1	two	CARDINAL
ejpam-4946	212	2	1	CARDINAL
ejpam-4946	215	1	vn−4	ORG
ejpam-4946	220	1	∈	PRODUCT
ejpam-4946	223	1	3	CARDINAL
ejpam-4946	223	2	5	DATE
ejpam-4946	228	1	3	CARDINAL
ejpam-4946	228	2	5	DATE
ejpam-4946	235	1	j ∈	PERSON
ejpam-4946	235	2	1	CARDINAL
ejpam-4946	235	3	3	DATE
ejpam-4946	238	1	n − 4	ORG
ejpam-4946	241	1	2	CARDINAL
ejpam-4946	253	1	1	CARDINAL
ejpam-4946	255	1	∈	PRODUCT
ejpam-4946	259	1	a. tapeing et al	PERSON
ejpam-4946	260	1	j. pure	PERSON
ejpam-4946	260	2	17	CARDINAL
ejpam-4946	260	3	1	CARDINAL
ejpam-4946	260	4	2024	CARDINAL
ejpam-4946	260	5	124	CARDINAL
ejpam-4946	260	6	134 130	CARDINAL
ejpam-4946	262	1	3	CARDINAL
ejpam-4946	262	2	∈	PRODUCT
ejpam-4946	270	1	j ∈	PERSON
ejpam-4946	270	2	1	CARDINAL
ejpam-4946	270	3	3	DATE
ejpam-4946	273	1	n − 3	ORG
ejpam-4946	274	1	= α(cq	ORG
ejpam-4946	274	2	5	CARDINAL
ejpam-4946	276	1	1	CARDINAL
ejpam-4946	287	1	n2 km	PRODUCT
ejpam-4946	287	2	n2 km	PRODUCT
ejpam-4946	288	1	j ∈	PERSON
ejpam-4946	288	2	1	CARDINAL
ejpam-4946	288	3	2	DATE
ejpam-4946	289	1	n2 km	PRODUCT
ejpam-4946	290	1	j ∈	PERSON
ejpam-4946	290	2	1	CARDINAL
ejpam-4946	290	3	2	DATE
ejpam-4946	292	1	∈	ORG
ejpam-4946	292	2	1	CARDINAL
ejpam-4946	292	3	2	DATE
ejpam-4946	294	1	1	CARDINAL
ejpam-4946	294	2	2	DATE
ejpam-4946	295	1	1	CARDINAL
ejpam-4946	295	2	n ≥ 1	DATE
ejpam-4946	296	1	6	CARDINAL
ejpam-4946	297	1	two	CARDINAL
ejpam-4946	299	1	s (ii) l	EVENT
ejpam-4946	300	1	s. then l	ORG
ejpam-4946	301	1	2	CARDINAL
ejpam-4946	301	2	2	CARDINAL
ejpam-4946	302	1	3	CARDINAL
ejpam-4946	302	2	2	CARDINAL
ejpam-4946	304	1	2	CARDINAL
ejpam-4946	304	2	w	ORG
ejpam-4946	304	3	∈	ORG
ejpam-4946	304	4	w ∈ n2 s	PRODUCT
ejpam-4946	307	1	t ∈ ns(z	ORG
ejpam-4946	313	1	3	CARDINAL
ejpam-4946	319	1	1	CARDINAL
ejpam-4946	320	1	two	CARDINAL
ejpam-4946	321	1	αj2(s +	LOC
ejpam-4946	321	2	max	PERSON
ejpam-4946	321	3	αj2(s	TIME
ejpam-4946	323	1	6	CARDINAL
ejpam-4946	323	2	αj2(s + t	DATE
ejpam-4946	323	3	αj2(s	TIME
ejpam-4946	325	1	a. tapeing et al	PERSON
ejpam-4946	326	1	j. pure	PERSON
ejpam-4946	326	2	17	CARDINAL
ejpam-4946	326	3	1	CARDINAL
ejpam-4946	326	4	2024	CARDINAL
ejpam-4946	326	5	124	CARDINAL
ejpam-4946	326	6	131	CARDINAL
ejpam-4946	326	7	max	PERSON
ejpam-4946	326	8	αj2(s	TIME
ejpam-4946	327	1	3	CARDINAL
ejpam-4946	328	1	6	CARDINAL
ejpam-4946	329	1	3	CARDINAL
ejpam-4946	331	1	ds(d	NORP
ejpam-4946	338	1	3	CARDINAL
ejpam-4946	338	2	7	CARDINAL
ejpam-4946	340	1	⋃	DATE
ejpam-4946	340	2	∈	ORG
ejpam-4946	340	3	w	GPE
ejpam-4946	343	1	⋃	DATE
ejpam-4946	343	2	∈	ORG
ejpam-4946	344	1	y ∈ w.	PERSON
ejpam-4946	344	2	y ∈	PERSON
ejpam-4946	344	3	∈	ORG
ejpam-4946	345	1	n2 s◦	ORG
ejpam-4946	347	1	w ∈	PERSON
ejpam-4946	347	2	2	CARDINAL
ejpam-4946	348	1	2	CARDINAL
ejpam-4946	349	1	w	GPE
ejpam-4946	349	2	3	CARDINAL
ejpam-4946	352	1	3	CARDINAL
ejpam-4946	352	2	1	CARDINAL
ejpam-4946	352	3	∈	ORG
ejpam-4946	353	1	∈ n2	QUANTITY
ejpam-4946	354	1	2	CARDINAL
ejpam-4946	354	2	w	GPE
ejpam-4946	354	3	3	CARDINAL
ejpam-4946	354	4	n2 s◦	ORG
ejpam-4946	355	1	a. tapeing et al	PERSON
ejpam-4946	356	1	j. pure	PERSON
ejpam-4946	356	2	17	CARDINAL
ejpam-4946	356	3	1	CARDINAL
ejpam-4946	356	4	2024	CARDINAL
ejpam-4946	356	5	124	CARDINAL
ejpam-4946	356	6	134 132 n2	QUANTITY
ejpam-4946	356	7	w	GPE
ejpam-4946	359	1	4	CARDINAL
ejpam-4946	361	1	4	CARDINAL
ejpam-4946	368	1	t .	GPE
ejpam-4946	369	1	n2 t+s	ORG
ejpam-4946	369	2	⊆	CARDINAL
ejpam-4946	373	1	4	CARDINAL
ejpam-4946	373	2	t theorem 8	DATE
ejpam-4946	375	1	j2-independence	ORG
ejpam-4946	377	1	5	CARDINAL
ejpam-4946	379	1	n2	ORG
ejpam-4946	380	1	n2 g[a]\n2 g[e	PERSON
ejpam-4946	380	2	n2 g[e]\n2	ORG
ejpam-4946	380	3	dg(a	GPE
ejpam-4946	381	1	1	CARDINAL
ejpam-4946	381	2	⊆	CARDINAL
ejpam-4946	381	3	1	CARDINAL
ejpam-4946	382	1	2	CARDINAL
ejpam-4946	383	1	4	CARDINAL
ejpam-4946	383	2	a. tapeing et al	PERSON
ejpam-4946	384	1	j. pure	PERSON
ejpam-4946	384	2	17	CARDINAL
ejpam-4946	384	3	1	CARDINAL
ejpam-4946	384	4	2024	CARDINAL
ejpam-4946	384	5	124	CARDINAL
ejpam-4946	384	6	5	CARDINAL
ejpam-4946	384	7	4	CARDINAL
ejpam-4946	385	1	2	CARDINAL
ejpam-4946	385	2	6	CARDINAL
ejpam-4946	387	1	6	CARDINAL
ejpam-4946	390	1	4	CARDINAL
ejpam-4946	393	1	6	CARDINAL
ejpam-4946	393	2	4 and α2 j(k2 +	DATE
ejpam-4946	393	3	6 4	DATE
ejpam-4946	395	1	j2	ORG
ejpam-4946	398	1	134	CARDINAL
ejpam-4946	398	2	mindanao	GPE
ejpam-4946	400	1	1	CARDINAL
ejpam-4946	400	2	e. davies	PERSON
ejpam-4946	400	3	m. jenssen	PERSON
ejpam-4946	400	4	w. perkins	PERSON
ejpam-4946	400	5	b. roberts	PERSON
ejpam-4946	401	1	matchings	ORG
ejpam-4946	402	1	j. lond	PERSON
ejpam-4946	405	1	2	CARDINAL
ejpam-4946	405	2	96(1):47–46	CARDINAL
ejpam-4946	405	3	2017	DATE
ejpam-4946	406	1	2	CARDINAL
ejpam-4946	406	2	e. davies	PERSON
ejpam-4946	406	3	m. jenssen	PERSON
ejpam-4946	406	4	w. perkins	PERSON
ejpam-4946	406	5	b. roberts	PERSON
ejpam-4946	409	1	amer	PERSON
ejpam-4946	410	1	146(1):111–124	DATE
ejpam-4946	410	2	2018	DATE
ejpam-4946	411	1	3	CARDINAL
ejpam-4946	411	2	z. furedi	PERSON
ejpam-4946	413	1	j. graph	PERSON
ejpam-4946	414	1	11(4):463–470	DATE
ejpam-4946	414	2	2022	CARDINAL
ejpam-4946	415	1	4	CARDINAL
ejpam-4946	415	2	griggs	PERSON
ejpam-4946	415	3	c.m.	GPE
ejpam-4946	415	4	d.r.	GPE
ejpam-4946	416	1	68:211–220, 1988	DATE
ejpam-4946	417	1	5	CARDINAL
ejpam-4946	417	2	j. hassan	PERSON
ejpam-4946	417	3	sappari	NORP
ejpam-4946	418	1	j2-hop domination	ORG
ejpam-4946	420	1	j. pure	PERSON
ejpam-4946	420	2	16(4):2118–2131	DATE
ejpam-4946	420	3	2022	CARDINAL
ejpam-4946	421	1	6	CARDINAL
ejpam-4946	421	2	j. hassan	PERSON
ejpam-4946	421	3	s. canoy jr.	PERSON
ejpam-4946	421	4	a. aradais	PERSON
ejpam-4946	424	1	j. pure	PERSON
ejpam-4946	424	2	15(2):467–477	DATE
ejpam-4946	424	3	2022	CARDINAL
ejpam-4946	425	1	7	CARDINAL
ejpam-4946	425	2	g. hopkins andw	PERSON
ejpam-4946	426	1	staton	PERSON
ejpam-4946	427	1	57(2):245–251	CARDINAL
ejpam-4946	427	2	1985	DATE
ejpam-4946	428	1	8	CARDINAL
ejpam-4946	428	2	liu jiuqiang	PERSON
ejpam-4946	430	1	1985	DATE
ejpam-4946	431	1	9	CARDINAL
ejpam-4946	431	2	johnson	PERSON
ejpam-4946	431	3	m. yannalcakis	PERSON
ejpam-4946	431	4	c.j. papadimitriou	GPE
ejpam-4946	434	1	lett.	PERSON
ejpam-4946	434	2	27:119–123	CARDINAL
ejpam-4946	434	3	1988	DATE
ejpam-4946	435	1	10	CARDINAL
ejpam-4946	435	2	wilf	PERSON
ejpam-4946	437	1	j. alg	PERSON
ejpam-4946	439	1	1986	DATE
ejpam-4946	440	1	11	CARDINAL
ejpam-4946	440	2	j. zito	PERSON
ejpam-4946	442	1	j. graph	PERSON
ejpam-4946	442	2	15(2):207–221, 1991	DATE