id	sid	eid	entity	type
ejpam-4877	1	1	european journal	ORG
ejpam-4877	2	1	16	CARDINAL
ejpam-4877	2	2	4	CARDINAL
ejpam-4877	2	3	2023	CARDINAL
ejpam-4877	2	4	2597	CARDINAL
ejpam-4877	3	1	1307-5543	DATE
ejpam-4877	3	2	new york	GPE
ejpam-4877	3	3	javier a. hassan1,∗	PERSON
ejpam-4877	3	4	sergio r. canoy	PERSON
ejpam-4877	3	5	sciences department	ORG
ejpam-4877	3	6	sciences msu tawi-tawi college of technology	ORG
ejpam-4877	3	7	2department	TIME
ejpam-4877	3	8	msu-iligan institute of technology	ORG
ejpam-4877	3	9	9200	CARDINAL
ejpam-4877	3	10	iligan city	GPE
ejpam-4877	3	11	3	CARDINAL
ejpam-4877	3	12	msu-iligan institute of technology	ORG
ejpam-4877	3	13	9200	CARDINAL
ejpam-4877	3	14	iligan city	GPE
ejpam-4877	3	15	philippines	GPE
ejpam-4877	8	1	n 2	PRODUCT
ejpam-4877	8	2	2	CARDINAL
ejpam-4877	11	1	grundy	PERSON
ejpam-4877	11	2	grundy	PERSON
ejpam-4877	11	3	grundy	PERSON
ejpam-4877	12	1	2020	DATE
ejpam-4877	12	2	05c69	CARDINAL
ejpam-4877	12	3	grundy	PERSON
ejpam-4877	12	4	grundy	PERSON
ejpam-4877	12	5	1	CARDINAL
ejpam-4877	14	1	7	CARDINAL
ejpam-4877	14	2	18	DATE
ejpam-4877	14	3	19	DATE
ejpam-4877	15	1	natarajan	PERSON
ejpam-4877	15	2	17	CARDINAL
ejpam-4877	16	1	1	CARDINAL
ejpam-4877	16	2	2	DATE
ejpam-4877	16	3	20	CARDINAL
ejpam-4877	17	1	2014	DATE
ejpam-4877	18	1	4	CARDINAL
ejpam-4877	19	1	6	CARDINAL
ejpam-4877	19	2	16	CARDINAL
ejpam-4877	21	1	j. hassan	PERSON
ejpam-4877	21	2	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-4877	21	3	s. canoy	PERSON
ejpam-4877	22	1	2597	CARDINAL
ejpam-4877	23	1	2023	CARDINAL
ejpam-4877	24	1	j.a. hassan	PERSON
ejpam-4877	24	2	s. canoy / eur	PERSON
ejpam-4877	25	1	j. pure	PERSON
ejpam-4877	25	2	16	CARDINAL
ejpam-4877	25	3	4	CARDINAL
ejpam-4877	25	4	2023	CARDINAL
ejpam-4877	25	5	2597-2612 2598	CARDINAL
ejpam-4877	25	6	2016	DATE
ejpam-4877	26	1	5	CARDINAL
ejpam-4877	27	1	3	CARDINAL
ejpam-4877	29	1	grundy	PERSON
ejpam-4877	30	1	two	CARDINAL
ejpam-4877	31	1	2	CARDINAL
ejpam-4877	31	2	two	CARDINAL
ejpam-4877	31	3	two	CARDINAL
ejpam-4877	32	1	⊆	CARDINAL
ejpam-4877	33	1	⋃	PERSON
ejpam-4877	36	1	⊆	CARDINAL
ejpam-4877	41	1	2	CARDINAL
ejpam-4877	45	1	2	CARDINAL
ejpam-4877	46	1	n2 g(u	PRODUCT
ejpam-4877	46	2	∈	ORG
ejpam-4877	46	3	2	CARDINAL
ejpam-4877	47	1	⊆	CARDINAL
ejpam-4877	47	2	n2 g(x	PRODUCT
ejpam-4877	48	1	⋃	PERSON
ejpam-4877	48	2	n2 g(u	PRODUCT
ejpam-4877	50	1	⊆	CARDINAL
ejpam-4877	50	2	∈	PERSON
ejpam-4877	51	1	2	CARDINAL
ejpam-4877	55	1	2	CARDINAL
ejpam-4877	55	2	2	CARDINAL
ejpam-4877	55	3	k}.	PERSON
ejpam-4877	56	1	grundy	PERSON
ejpam-4877	57	1	grundy	PERSON
ejpam-4877	57	2	grundy	PERSON
ejpam-4877	57	3	grundy	PERSON
ejpam-4877	58	1	hassan	PERSON
ejpam-4877	58	2	s. canoy / eur	PERSON
ejpam-4877	59	1	j. pure	PERSON
ejpam-4877	59	2	16	CARDINAL
ejpam-4877	59	3	4	CARDINAL
ejpam-4877	59	4	2023	CARDINAL
ejpam-4877	59	5	2597	CARDINAL
ejpam-4877	59	6	∈	PERSON
ejpam-4877	60	1	2	CARDINAL
ejpam-4877	60	2	γth(g	GPE
ejpam-4877	64	1	2	CARDINAL
ejpam-4877	64	2	2	CARDINAL
ejpam-4877	67	1	grundy	PERSON
ejpam-4877	68	1	grundy	PERSON
ejpam-4877	68	2	k = max{p	PERSON
ejpam-4877	68	3	∈	ORG
ejpam-4877	69	1	2	CARDINAL
ejpam-4877	71	1	2	CARDINAL
ejpam-4877	71	2	vi	PERSON
ejpam-4877	72	1	two	CARDINAL
ejpam-4877	72	2	loh	PERSON
ejpam-4877	75	1	2	CARDINAL
ejpam-4877	79	1	i=1[v	ORG
ejpam-4877	81	1	1	CARDINAL
ejpam-4877	81	2	two	CARDINAL
ejpam-4877	81	3	s1 ⊕ s2	ORG
ejpam-4877	81	4	s1 ⊕	PERSON
ejpam-4877	82	1	s(g	PERSON
ejpam-4877	82	2	two	CARDINAL
ejpam-4877	82	3	g1	ORG
ejpam-4877	83	1	two	CARDINAL
ejpam-4877	84	1	g and h	ORG
ejpam-4877	84	2	g+h	ORG
ejpam-4877	86	1	∈	ORG
ejpam-4877	87	1	g ◦h	ORG
ejpam-4877	87	2	one	CARDINAL
ejpam-4877	88	1	j.a. hassan	PERSON
ejpam-4877	88	2	s. canoy / eur	PERSON
ejpam-4877	89	1	j. pure	PERSON
ejpam-4877	89	2	16	CARDINAL
ejpam-4877	89	3	4	CARDINAL
ejpam-4877	89	4	2023	CARDINAL
ejpam-4877	89	5	2597	CARDINAL
ejpam-4877	89	6	1	CARDINAL
ejpam-4877	94	1	γth(g	GPE
ejpam-4877	96	1	2	CARDINAL
ejpam-4877	96	2	3	DATE
ejpam-4877	98	1	n2 g(ui)\∪ i−1	ORG
ejpam-4877	98	2	2	CARDINAL
ejpam-4877	98	3	⊆	CARDINAL
ejpam-4877	98	4	2	CARDINAL
ejpam-4877	99	1	d.	NORP
ejpam-4877	99	2	2	CARDINAL
ejpam-4877	99	3	2	CARDINAL
ejpam-4877	99	4	3	DATE
ejpam-4877	101	1	grundy	PERSON
ejpam-4877	106	1	2	CARDINAL
ejpam-4877	111	1	∈	ORG
ejpam-4877	111	2	∈	ORG
ejpam-4877	111	3	∈	ORG
ejpam-4877	111	4	n2 g(t	PERSON
ejpam-4877	111	5	2	CARDINAL
ejpam-4877	113	1	2	CARDINAL
ejpam-4877	114	1	xj	PERSON
ejpam-4877	115	1	3	CARDINAL
ejpam-4877	116	1	4 ≤	CARDINAL
ejpam-4877	118	1	j.a. hassan	PERSON
ejpam-4877	118	2	s. canoy / eur	PERSON
ejpam-4877	119	1	j. pure	PERSON
ejpam-4877	119	2	16	CARDINAL
ejpam-4877	119	3	4	CARDINAL
ejpam-4877	119	4	2023	CARDINAL
ejpam-4877	119	5	2597	CARDINAL
ejpam-4877	121	1	1	CARDINAL
ejpam-4877	122	1	2	CARDINAL
ejpam-4877	124	1	∈	ORG
ejpam-4877	124	2	∩ ng(v2	WORK_OF_ART
ejpam-4877	125	1	/∈ n2 g(v1	ORG
ejpam-4877	125	2	n2 g(v2	PERSON
ejpam-4877	126	1	3	CARDINAL
ejpam-4877	128	1	2	CARDINAL
ejpam-4877	128	2	∩ ng(v2	WORK_OF_ART
ejpam-4877	129	1	n2 g(v2	PERSON
ejpam-4877	132	1	v2 ∈ n2 g(v1	PERSON
ejpam-4877	133	1	n2 g(v1	ORG
ejpam-4877	133	2	n2 g(p	PERSON
ejpam-4877	134	1	n2 g(v3	ORG
ejpam-4877	134	2	n2 g(v1	ORG
ejpam-4877	134	3	n2 g(p	PERSON
ejpam-4877	137	1	3	CARDINAL
ejpam-4877	137	2	4	CARDINAL
ejpam-4877	139	1	4	CARDINAL
ejpam-4877	139	2	8	CARDINAL
ejpam-4877	139	3	4	CARDINAL
ejpam-4877	141	1	2m	CARDINAL
ejpam-4877	141	2	2	CARDINAL
ejpam-4877	145	1	vi	PERSON
ejpam-4877	145	2	2	CARDINAL
ejpam-4877	147	1	2	CARDINAL
ejpam-4877	151	1	vi ∈ n2 g(ui	PERSON
ejpam-4877	151	2	2	CARDINAL
ejpam-4877	151	3	2	CARDINAL
ejpam-4877	153	1	∈ n2 g(vm	PRODUCT
ejpam-4877	153	2	2	CARDINAL
ejpam-4877	154	1	∈	ORG
ejpam-4877	155	1	n2 g(uj	PERSON
ejpam-4877	155	2	 ∪	DATE
ejpam-4877	155	3	k+1⋃	ORG
ejpam-4877	155	4	n2 g(vi	PERSON
ejpam-4877	156	1	1	CARDINAL
ejpam-4877	158	1	n ≥ 4	DATE
ejpam-4877	159	1	2	CARDINAL
ejpam-4877	159	2	4m+ 2	DATE
ejpam-4877	159	3	1	CARDINAL
ejpam-4877	159	4	4	CARDINAL
ejpam-4877	164	1	4	CARDINAL
ejpam-4877	164	2	4	CARDINAL
ejpam-4877	164	3	+ 2 ≥ 10	DATE
ejpam-4877	168	1	j.a. hassan	PERSON
ejpam-4877	168	2	s. canoy / eur	PERSON
ejpam-4877	169	1	j. pure	PERSON
ejpam-4877	169	2	16	CARDINAL
ejpam-4877	169	3	4	CARDINAL
ejpam-4877	169	4	2023	CARDINAL
ejpam-4877	169	5	2597-2612	CARDINAL
ejpam-4877	170	1	2	CARDINAL
ejpam-4877	174	1	one	CARDINAL
ejpam-4877	178	1	⊆ n2	QUANTITY
ejpam-4877	180	1	⊆ n2	QUANTITY
ejpam-4877	181	1	v9	PERSON
ejpam-4877	185	1	⊆	CARDINAL
ejpam-4877	187	1	one	CARDINAL
ejpam-4877	190	1	k ≤ n−	ORG
ejpam-4877	190	2	2	CARDINAL
ejpam-4877	190	3	2	CARDINAL
ejpam-4877	190	4	4m+ 2	DATE
ejpam-4877	192	1	γthgr(p5	PERSON
ejpam-4877	192	2	4	CARDINAL
ejpam-4877	192	3	n ≥ 7 and odd	ORG
ejpam-4877	193	1	n ∈	ORG
ejpam-4877	193	2	7	CARDINAL
ejpam-4877	193	3	11	DATE
ejpam-4877	193	4	15	DATE
ejpam-4877	194	1	v2, v5	GPE
ejpam-4877	194	2	vn−6	PERSON
ejpam-4877	194	3	vn−7	GPE
ejpam-4877	196	1	1	CARDINAL
ejpam-4877	197	1	n ∈	ORG
ejpam-4877	197	2	9	CARDINAL
ejpam-4877	197	3	13	DATE
ejpam-4877	197	4	17	DATE
ejpam-4877	198	1	v2, v5	GPE
ejpam-4877	198	2	vn−4	ORG
ejpam-4877	198	3	vn−3	ORG
ejpam-4877	198	4	vn−2	GPE
ejpam-4877	200	1	1	CARDINAL
ejpam-4877	200	2	7	CARDINAL
ejpam-4877	200	3	11	DATE
ejpam-4877	200	4	15	DATE
ejpam-4877	202	1	one	CARDINAL
ejpam-4877	207	1	⊆ n2	QUANTITY
ejpam-4877	209	1	⊆ n2	QUANTITY
ejpam-4877	210	1	v6.	GPE
ejpam-4877	214	1	⊆	CARDINAL
ejpam-4877	217	1	9	CARDINAL
ejpam-4877	217	2	13	DATE
ejpam-4877	217	3	17	DATE
ejpam-4877	218	1	one	CARDINAL
ejpam-4877	220	1	1	CARDINAL
ejpam-4877	221	1	1	CARDINAL
ejpam-4877	222	1	m. clearly	PERSON
ejpam-4877	222	2	γthgr(p4	ORG
ejpam-4877	223	1	4	CARDINAL
ejpam-4877	223	2	4	CARDINAL
ejpam-4877	223	3	v2, v5	GPE
ejpam-4877	223	4	vn−3	ORG
ejpam-4877	223	5	vn−2	GPE
ejpam-4877	223	6	vn−1	ORG
ejpam-4877	225	1	m. j.a.	PERSON
ejpam-4877	226	1	hassan	PERSON
ejpam-4877	226	2	s. canoy / eur	PERSON
ejpam-4877	227	1	j. pure	PERSON
ejpam-4877	227	2	16	CARDINAL
ejpam-4877	227	3	4	CARDINAL
ejpam-4877	227	4	2023	CARDINAL
ejpam-4877	227	5	2597	CARDINAL
ejpam-4877	227	6	2	CARDINAL
ejpam-4877	228	1	1	CARDINAL
ejpam-4877	231	1	w1 = vi	PERSON
ejpam-4877	231	2	1	CARDINAL
ejpam-4877	232	1	g(w1)|	ORG
ejpam-4877	232	2	1	CARDINAL
ejpam-4877	236	1	k ≤ n−m+	PERSON
ejpam-4877	236	2	|{vi}|	PRODUCT
ejpam-4877	236	3	1	CARDINAL
ejpam-4877	236	4	1	CARDINAL
ejpam-4877	237	1	2	CARDINAL
ejpam-4877	237	2	2	CARDINAL
ejpam-4877	238	1	2	CARDINAL
ejpam-4877	238	2	1	CARDINAL
ejpam-4877	240	1	n ≥ 4	DATE
ejpam-4877	241	1	4	CARDINAL
ejpam-4877	241	2	4	CARDINAL
ejpam-4877	241	3	5	DATE
ejpam-4877	241	4	6 6	CARDINAL
ejpam-4877	241	5	8	CARDINAL
ejpam-4877	241	6	4	CARDINAL
ejpam-4877	241	7	4	CARDINAL
ejpam-4877	241	8	12	CARDINAL
ejpam-4877	241	9	2	CARDINAL
ejpam-4877	241	10	4m+ 2	DATE
ejpam-4877	241	11	10	CARDINAL
ejpam-4877	241	12	1	CARDINAL
ejpam-4877	242	1	4	CARDINAL
ejpam-4877	242	2	5	DATE
ejpam-4877	242	3	6	CARDINAL
ejpam-4877	242	4	4	CARDINAL
ejpam-4877	242	5	6	CARDINAL
ejpam-4877	243	1	4	CARDINAL
ejpam-4877	243	2	12	CARDINAL
ejpam-4877	250	1	one	CARDINAL
ejpam-4877	252	1	vn−7	GPE
ejpam-4877	252	2	vn−3	ORG
ejpam-4877	254	1	vn−7	GPE
ejpam-4877	255	1	v9	PERSON
ejpam-4877	255	2	⊆ n2	QUANTITY
ejpam-4877	256	1	v9	PERSON
ejpam-4877	257	1	v9	PRODUCT
ejpam-4877	257	2	⊆ n2	QUANTITY
ejpam-4877	261	1	vn−7	GPE
ejpam-4877	261	2	vn−3	ORG
ejpam-4877	262	1	⊆	CARDINAL
ejpam-4877	262	2	ncn(vn−7	GPE
ejpam-4877	264	1	one	CARDINAL
ejpam-4877	265	1	vn−6	GPE
ejpam-4877	270	1	k ≤ n−	ORG
ejpam-4877	270	2	4	CARDINAL
ejpam-4877	271	1	4	CARDINAL
ejpam-4877	271	2	m. next	PERSON
ejpam-4877	271	3	4m+ 2 ≥ 10	DATE
ejpam-4877	275	1	vn−7	GPE
ejpam-4877	275	2	v2	GPE
ejpam-4877	279	1	vn−6	PERSON
ejpam-4877	281	1	2	CARDINAL
ejpam-4877	285	1	first	ORDINAL
ejpam-4877	285	2	one	CARDINAL
ejpam-4877	286	1	hassan	PERSON
ejpam-4877	286	2	s. canoy / eur	PERSON
ejpam-4877	287	1	j. pure	PERSON
ejpam-4877	287	2	16	CARDINAL
ejpam-4877	287	3	4	CARDINAL
ejpam-4877	287	4	2023	CARDINAL
ejpam-4877	287	5	2597-2612	CARDINAL
ejpam-4877	291	1	vn−7	GPE
ejpam-4877	291	2	v2	GPE
ejpam-4877	295	1	vn−6	GPE
ejpam-4877	299	1	n ≥ 7 and odd	ORG
ejpam-4877	300	1	γthgr(c7	GPE
ejpam-4877	301	1	6	CARDINAL
ejpam-4877	301	2	n ≥ 9 and odd	DATE
ejpam-4877	302	1	n ∈	ORG
ejpam-4877	302	2	9	CARDINAL
ejpam-4877	302	3	13	DATE
ejpam-4877	302	4	17	DATE
ejpam-4877	308	1	v2	PRODUCT
ejpam-4877	310	1	vn−7	GPE
ejpam-4877	314	1	11	CARDINAL
ejpam-4877	314	2	15	DATE
ejpam-4877	314	3	19	DATE
ejpam-4877	317	1	v2	PRODUCT
ejpam-4877	321	1	vn−7	GPE
ejpam-4877	323	1	1	CARDINAL
ejpam-4877	324	1	2	CARDINAL
ejpam-4877	325	1	1	CARDINAL
ejpam-4877	325	2	2	CARDINAL
ejpam-4877	326	1	1	CARDINAL
ejpam-4877	326	2	5	CARDINAL
ejpam-4877	330	1	2	CARDINAL
ejpam-4877	330	2	1	CARDINAL
ejpam-4877	332	1	vi	PERSON
ejpam-4877	333	1	h−1	PRODUCT
ejpam-4877	333	2	⊆	CARDINAL
ejpam-4877	335	1	hs	PERSON
ejpam-4877	337	1	vi ∈	ORG
ejpam-4877	337	2	h−1	PRODUCT
ejpam-4877	337	3	⊆	CARDINAL
ejpam-4877	340	1	h−1	ORG
ejpam-4877	341	1	let vi ∈	PERSON
ejpam-4877	344	1	j. since	PERSON
ejpam-4877	344	2	vi ∈	PERSON
ejpam-4877	344	3	t < i.	ORG
ejpam-4877	345	1	= vi	PERSON
ejpam-4877	345	2	1 ≤	QUANTITY
ejpam-4877	346	1	vi /∈ n2 g(vj	PERSON
ejpam-4877	347	1	2 g(vk	PERSON
ejpam-4877	347	2	vi ∈ h−1	PERSON
ejpam-4877	348	1	t .	GPE
ejpam-4877	349	1	vi	PERSON
ejpam-4877	349	2	∈	ORG
ejpam-4877	349	3	h−1	PRODUCT
ejpam-4877	349	4	⊆	CARDINAL
ejpam-4877	351	1	h−1	PRODUCT
ejpam-4877	351	2	⊆	CARDINAL
ejpam-4877	354	1	h−1	ORG
ejpam-4877	355	1	h−1	PRODUCT
ejpam-4877	355	2	h−1	PRODUCT
ejpam-4877	355	3	vi ∈	PERSON
ejpam-4877	356	1	1	CARDINAL
ejpam-4877	358	1	⋃	DATE
ejpam-4877	359	1	k. hence	PERSON
ejpam-4877	363	1	k − |t	PERSON
ejpam-4877	366	1	2	CARDINAL
ejpam-4877	366	2	1 2γ	CARDINAL
ejpam-4877	368	1	j.a. hassan	PERSON
ejpam-4877	368	2	s. canoy / eur	PERSON
ejpam-4877	369	1	j. pure	PERSON
ejpam-4877	369	2	16	CARDINAL
ejpam-4877	369	3	4	CARDINAL
ejpam-4877	369	4	2023	CARDINAL
ejpam-4877	369	5	2597-2612	CARDINAL
ejpam-4877	369	6	1	CARDINAL
ejpam-4877	370	1	5	CARDINAL
ejpam-4877	376	1	4	CARDINAL
ejpam-4877	379	1	2	CARDINAL
ejpam-4877	379	2	4	CARDINAL
ejpam-4877	379	3	2γhgr(c4	CARDINAL
ejpam-4877	380	1	u2 u3 u4	PERSON
ejpam-4877	380	2	1	CARDINAL
ejpam-4877	380	3	4	CARDINAL
ejpam-4877	380	4	2γh	ORDINAL
ejpam-4877	380	5	2	CARDINAL
ejpam-4877	382	1	k5 ◦	ORG
ejpam-4877	383	1	2	CARDINAL
ejpam-4877	386	1	k5 ◦k2	ORG
ejpam-4877	386	2	γ h gr(k5 ◦	ORG
ejpam-4877	386	3	10	CARDINAL
ejpam-4877	388	1	k5 ◦	ORG
ejpam-4877	390	1	4	CARDINAL
ejpam-4877	390	2	k5 ◦	ORG
ejpam-4877	390	3	2	CARDINAL
ejpam-4877	390	4	k5 ◦	ORG
ejpam-4877	390	5	4	CARDINAL
ejpam-4877	390	6	10	CARDINAL
ejpam-4877	390	7	gr(k5 ◦k2	ORG
ejpam-4877	390	8	1	CARDINAL
ejpam-4877	391	1	two	CARDINAL
ejpam-4877	392	1	∈	ORG
ejpam-4877	392	2	g1	ORG
ejpam-4877	392	3	j.a	GPE
ejpam-4877	392	4	hassan	PERSON
ejpam-4877	392	5	s. canoy / eur	PERSON
ejpam-4877	393	1	j. pure	PERSON
ejpam-4877	393	2	16	CARDINAL
ejpam-4877	393	3	4	CARDINAL
ejpam-4877	393	4	2023	CARDINAL
ejpam-4877	393	5	2597-2612	CARDINAL
ejpam-4877	395	1	n2 s(g)(v ′	ORG
ejpam-4877	399	1	2	CARDINAL
ejpam-4877	399	2	∈	ORG
ejpam-4877	399	3	g1	ORG
ejpam-4877	400	1	∈	ORG
ejpam-4877	402	1	2	CARDINAL
ejpam-4877	404	1	n2 s(g)(v	ORG
ejpam-4877	404	2	⊆ n2	QUANTITY
ejpam-4877	407	1	⊆	CARDINAL
ejpam-4877	408	1	n2 s(g)(v	ORG
ejpam-4877	411	1	6	CARDINAL
ejpam-4877	412	1	s(g	PERSON
ejpam-4877	415	1	g1	ORG
ejpam-4877	415	2	two	CARDINAL
ejpam-4877	417	1	g1	ORG
ejpam-4877	418	1	n2 g1	PERSON
ejpam-4877	418	2	2	CARDINAL
ejpam-4877	418	3	3	DATE
ejpam-4877	419	1	1 n2 s(g)(vi	QUANTITY
ejpam-4877	419	2	n2	PRODUCT
ejpam-4877	421	1	[ n2 g1	PERSON
ejpam-4877	424	1	n2 g1	PERSON
ejpam-4877	424	2	(n2 g1	PERSON
ejpam-4877	426	1	2	CARDINAL
ejpam-4877	428	1	g1	ORG
ejpam-4877	428	2	w ∈ ŝ	ORG
ejpam-4877	428	3	g1	ORG
ejpam-4877	429	1	lemma 1	ORG
ejpam-4877	429	2	n2 s(g)(v ′	ORG
ejpam-4877	429	3	w ∈	ORG
ejpam-4877	429	4	2	CARDINAL
ejpam-4877	429	5	s(g	PERSON
ejpam-4877	430	1	3	CARDINAL
ejpam-4877	431	1	6	CARDINAL
ejpam-4877	436	1	4	CARDINAL
ejpam-4877	437	1	3	CARDINAL
ejpam-4877	437	2	a′	ORG
ejpam-4877	440	1	4	CARDINAL
ejpam-4877	440	2	4	CARDINAL
ejpam-4877	441	1	j.a. hassan	PERSON
ejpam-4877	441	2	s. canoy / eur	PERSON
ejpam-4877	442	1	j. pure	PERSON
ejpam-4877	442	2	16	CARDINAL
ejpam-4877	442	3	4	CARDINAL
ejpam-4877	442	4	2023	CARDINAL
ejpam-4877	442	5	2597-2612	CARDINAL
ejpam-4877	443	1	d′	PERSON
ejpam-4877	443	2	3	CARDINAL
ejpam-4877	446	1	γthgr(p5	PERSON
ejpam-4877	447	1	4	CARDINAL
ejpam-4877	448	1	a′	ORG
ejpam-4877	448	2	e′	GPE
ejpam-4877	448	3	d′	PERSON
ejpam-4877	450	1	γthgr(s(p5	GPE
ejpam-4877	451	1	6	CARDINAL
ejpam-4877	452	1	γthgr(s(p5	GPE
ejpam-4877	453	1	4	CARDINAL
ejpam-4877	456	1	4	CARDINAL
ejpam-4877	457	1	2	CARDINAL
ejpam-4877	462	1	w1 = vi	PERSON
ejpam-4877	462	2	1	CARDINAL
ejpam-4877	463	1	1	CARDINAL
ejpam-4877	467	1	k ≤ n− l +	ORG
ejpam-4877	471	1	4	CARDINAL
ejpam-4877	471	2	= γtgr(cn	PERSON
ejpam-4877	472	1	j.a. hassan	PERSON
ejpam-4877	472	2	s. canoy / eur	PERSON
ejpam-4877	473	1	j. pure	PERSON
ejpam-4877	473	2	16	CARDINAL
ejpam-4877	473	3	4	CARDINAL
ejpam-4877	473	4	2023	CARDINAL
ejpam-4877	473	5	2597-2612	CARDINAL
ejpam-4877	474	1	4	CARDINAL
ejpam-4877	474	2	4	CARDINAL
ejpam-4877	474	3	n ≥ 5	DATE
ejpam-4877	475	1	un	ORG
ejpam-4877	475	2	un	ORG
ejpam-4877	477	1	v2 ∈	PERSON
ejpam-4877	480	1	4	CARDINAL
ejpam-4877	483	1	1	CARDINAL
ejpam-4877	484	1	k ≤ n−	ORG
ejpam-4877	484	2	3− 1	DATE
ejpam-4877	484	3	4	CARDINAL
ejpam-4877	484	4	lemma 2.	ORG
ejpam-4877	485	1	4	CARDINAL
ejpam-4877	488	1	∈	PRODUCT
ejpam-4877	489	1	v2 ∈	PERSON
ejpam-4877	490	1	γtgr(cn	PERSON
ejpam-4877	490	2	4	CARDINAL
ejpam-4877	491	1	γtgr(cn	PERSON
ejpam-4877	492	1	uk	GPE
ejpam-4877	494	1	3	CARDINAL
ejpam-4877	495	1	γtgr(cn	PERSON
ejpam-4877	496	1	3− 1	DATE
ejpam-4877	496	2	4	CARDINAL
ejpam-4877	496	3	lemma 2.	ORG
ejpam-4877	496	4	γtgr(cn	PERSON
ejpam-4877	496	5	4	CARDINAL
ejpam-4877	497	1	1	CARDINAL
ejpam-4877	497	2	2	DATE
ejpam-4877	499	1	n. lemma 3	PERSON
ejpam-4877	512	1	two	CARDINAL
ejpam-4877	512	2	γ(g	NORP
ejpam-4877	513	1	g+h	ORG
ejpam-4877	515	1	loh	PERSON
ejpam-4877	516	1	j.a. hassan	PERSON
ejpam-4877	516	2	s. canoy / eur	PERSON
ejpam-4877	517	1	j. pure	PERSON
ejpam-4877	517	2	16	CARDINAL
ejpam-4877	517	3	4	CARDINAL
ejpam-4877	517	4	2023	CARDINAL
ejpam-4877	517	5	2597-2612	CARDINAL
ejpam-4877	517	6	⊆	CARDINAL
ejpam-4877	519	1	2	CARDINAL
ejpam-4877	519	2	2	CARDINAL
ejpam-4877	519	3	3	DATE
ejpam-4877	523	1	2	CARDINAL
ejpam-4877	523	2	3	DATE
ejpam-4877	527	1	⊆	CARDINAL
ejpam-4877	528	1	⊆	CARDINAL
ejpam-4877	528	2	∈ ŝ ∩v	ORG
ejpam-4877	528	3	⊆	CARDINAL
ejpam-4877	528	4	∈ ŝ ∩v	ORG
ejpam-4877	528	5	loh	PERSON
ejpam-4877	533	1	2	CARDINAL
ejpam-4877	533	2	2	CARDINAL
ejpam-4877	533	3	3	DATE
ejpam-4877	535	1	sg	GPE
ejpam-4877	537	1	3	CARDINAL
ejpam-4877	537	2	7	CARDINAL
ejpam-4877	539	1	two	CARDINAL
ejpam-4877	539	2	γ(g	NORP
ejpam-4877	541	1	loh	PERSON
ejpam-4877	544	1	γthgr(km	PERSON
ejpam-4877	545	1	γthgr(km +kn	PERSON
ejpam-4877	546	1	4	CARDINAL
ejpam-4877	546	2	+ pm	TIME
ejpam-4877	547	1	6	CARDINAL
ejpam-4877	547	2	4	CARDINAL
ejpam-4877	548	1	6	CARDINAL
ejpam-4877	548	2	4	CARDINAL
ejpam-4877	548	3	+ pm	TIME
ejpam-4877	548	4	8	CARDINAL
ejpam-4877	548	5	4	CARDINAL
ejpam-4877	548	6	8	CARDINAL
ejpam-4877	548	7	4	CARDINAL
ejpam-4877	548	8	γtgr(cn	PERSON
ejpam-4877	548	9	8	CARDINAL
ejpam-4877	548	10	4	CARDINAL
ejpam-4877	549	1	j.a. hassan	PERSON
ejpam-4877	549	2	s. canoy / eur	PERSON
ejpam-4877	550	1	j. pure	PERSON
ejpam-4877	550	2	16	CARDINAL
ejpam-4877	550	3	4	CARDINAL
ejpam-4877	550	4	2023	CARDINAL
ejpam-4877	550	5	2597-2612	CARDINAL
ejpam-4877	550	6	2610	CARDINAL
ejpam-4877	550	7	8	DATE
ejpam-4877	551	1	γ(h	ORG
ejpam-4877	557	1	un	ORG
ejpam-4877	557	2	wk ui	PERSON
ejpam-4877	559	1	su1 ⊕	GPE
ejpam-4877	559	2	⊕	PERSON
ejpam-4877	559	3	⊕ sun	PERSON
ejpam-4877	560	1	∈	ORG
ejpam-4877	560	2	∈	ORG
ejpam-4877	562	1	first	ORDINAL
ejpam-4877	562	2	∈	ORG
ejpam-4877	562	3	∈	ORG
ejpam-4877	564	1	wj us ∈ ŝ	ORG
ejpam-4877	566	1	∈	ORG
ejpam-4877	568	1	ŝut	GPE
ejpam-4877	568	2	wl ut ∈ ŝut ⊆ ŝ	ORG
ejpam-4877	568	3	wl ut	PERSON
ejpam-4877	570	1	2	CARDINAL
ejpam-4877	571	1	vnk	PERSON
ejpam-4877	573	1	1	CARDINAL
ejpam-4877	573	2	∈	ORG
ejpam-4877	577	1	2	CARDINAL
ejpam-4877	578	1	2	CARDINAL
ejpam-4877	578	2	1 ≤	QUANTITY
ejpam-4877	578	3	1	CARDINAL
ejpam-4877	579	1	1	CARDINAL
ejpam-4877	579	2	2	CARDINAL
ejpam-4877	583	1	1 ≤	QUANTITY
ejpam-4877	587	1	2	CARDINAL
ejpam-4877	591	1	2	CARDINAL
ejpam-4877	594	1	1 ≤	QUANTITY
ejpam-4877	594	2	2	CARDINAL
ejpam-4877	595	1	|ŝvi	TIME
ejpam-4877	596	1	4	CARDINAL
ejpam-4877	597	1	8	DATE
ejpam-4877	598	1	k5 ◦	ORG
ejpam-4877	599	1	a20	PERSON
ejpam-4877	600	1	k5 ◦	ORG
ejpam-4877	601	1	γthgr(k5	CARDINAL
ejpam-4877	602	1	20	CARDINAL
ejpam-4877	603	1	4	CARDINAL
ejpam-4877	603	2	4	CARDINAL
ejpam-4877	604	1	2611	CARDINAL
ejpam-4877	604	2	k5	ORG
ejpam-4877	604	3	a5 a6 a7 a8	ORG
ejpam-4877	604	4	a15 a16	ORG
ejpam-4877	604	5	5	CARDINAL
ejpam-4877	606	1	4	CARDINAL
ejpam-4877	608	1	msu-iligan institute of technology	ORG
ejpam-4877	608	2	philippines	GPE
ejpam-4877	608	3	msu	ORG
ejpam-4877	609	1	1	CARDINAL
ejpam-4877	609	2	b. krishnakumari	PERSON
ejpam-4877	609	3	b. natarjan	PERSON
ejpam-4877	611	1	2015	DATE
ejpam-4877	612	1	2	CARDINAL
ejpam-4877	612	2	c. natarajan	PERSON
ejpam-4877	612	3	g. sathiamoorphy	PERSON
ejpam-4877	614	1	2018	DATE
ejpam-4877	615	1	3	CARDINAL
ejpam-4877	617	1	41):225–247	ORDINAL
ejpam-4877	617	2	2021	DATE
ejpam-4877	618	1	4	CARDINAL
ejpam-4877	618	2	t. gologranc	GPE
ejpam-4877	618	3	m. milanic	PERSON
ejpam-4877	618	4	d. rall	PERSON
ejpam-4877	618	5	r. rizzi	PERSON
ejpam-4877	621	1	336):22–36, 2014	DATE
ejpam-4877	622	1	2612	CARDINAL
ejpam-4877	623	1	5	CARDINAL
ejpam-4877	623	2	m.a. henning	PERSON
ejpam-4877	626	1	339):1665–1676	CARDINAL
ejpam-4877	626	2	2016	DATE
ejpam-4877	627	1	6	CARDINAL
ejpam-4877	627	2	t. kos	GPE
ejpam-4877	628	1	grundy domination	PERSON
ejpam-4877	628	2	zero	CARDINAL
ejpam-4877	631	1	17):419–430, 2019	DATE
ejpam-4877	632	1	7	CARDINAL
ejpam-4877	632	2	e. cockayne	PERSON
ejpam-4877	632	3	r. dawes	PERSON
ejpam-4877	632	4	s. hedetnieme	PERSON
ejpam-4877	634	1	10:211–219	CARDINAL
ejpam-4877	634	2	1980	DATE
ejpam-4877	635	1	8	CARDINAL
ejpam-4877	635	2	j. hassan	PERSON
ejpam-4877	635	3	s. canoy jr.	PERSON
ejpam-4877	636	1	grundy	PERSON
ejpam-4877	638	1	j. pure	PERSON
ejpam-4877	638	2	15(4):1623–1636	CARDINAL
ejpam-4877	638	3	2022	CARDINAL
ejpam-4877	639	1	9	CARDINAL
ejpam-4877	639	2	j. hassan	PERSON
ejpam-4877	639	3	s. canoy jr.	PERSON
ejpam-4877	642	1	j. pure	PERSON
ejpam-4877	642	2	15(4):1783–1796	CARDINAL
ejpam-4877	642	3	2022	CARDINAL
ejpam-4877	643	1	10	CARDINAL
ejpam-4877	643	2	j. hassan	PERSON
ejpam-4877	643	3	s. canoy jr.	PERSON
ejpam-4877	643	4	grundy	PERSON
ejpam-4877	645	1	j. pure	PERSON
ejpam-4877	646	1	16(2):1212–1227	DATE
ejpam-4877	646	2	2023	CARDINAL
ejpam-4877	647	1	11	CARDINAL
ejpam-4877	647	2	j. hassan	PERSON
ejpam-4877	647	3	s. canoy jr.	PERSON
ejpam-4877	649	1	j. pure	PERSON
ejpam-4877	649	2	16(1):319–335	DATE
ejpam-4877	649	3	2023	CARDINAL
ejpam-4877	650	1	12	CARDINAL
ejpam-4877	650	2	m. henning	PERSON
ejpam-4877	650	3	n. rad	PERSON
ejpam-4877	651	1	2	CARDINAL
ejpam-4877	652	1	33(4):913–927	DATE
ejpam-4877	652	2	2017	DATE
ejpam-4877	653	1	13	CARDINAL
ejpam-4877	653	2	s. canoy jr.	PERSON
ejpam-4877	653	3	r. mollejon	PERSON
ejpam-4877	653	4	j. g. canoy	PERSON
ejpam-4877	656	1	j. pure	PERSON
ejpam-4877	657	1	12(4):1455–1463,	DATE
ejpam-4877	657	2	2019	DATE
ejpam-4877	658	1	14	CARDINAL
ejpam-4877	658	2	s. canoy jr.	PERSON
ejpam-4877	658	3	g. salasalan	PERSON
ejpam-4877	661	1	j. pure	PERSON
ejpam-4877	661	2	14:1415–1428	CARDINAL
ejpam-4877	661	3	2021	DATE
ejpam-4877	662	1	15	CARDINAL
ejpam-4877	662	2	m. henning	PERSON
ejpam-4877	662	3	d. pradhan	PERSON
ejpam-4877	666	1	lett.	PERSON
ejpam-4877	666	2	153	CARDINAL
ejpam-4877	666	3	2020	DATE
ejpam-4877	667	1	16	CARDINAL
ejpam-4877	668	1	grundy	PERSON
ejpam-4877	669	1	284):138–149, 2020	DATE
ejpam-4877	670	1	17	CARDINAL
ejpam-4877	670	2	c. natarajan	PERSON
ejpam-4877	670	3	s. ayyaswamy	ORG
ejpam-4877	671	1	versita	PERSON
ejpam-4877	671	2	23(2):187	CARDINAL
ejpam-4877	671	3	199	CARDINAL
ejpam-4877	671	4	2015	DATE
ejpam-4877	672	1	18	CARDINAL
ejpam-4877	672	2	b. omamalin	PERSON
ejpam-4877	672	3	s. canoy jr.	PERSON
ejpam-4877	672	4	h. rara	PERSON
ejpam-4877	674	1	8(48):2363–2374	CARDINAL
ejpam-4877	674	2	2014	DATE
ejpam-4877	675	1	19	CARDINAL
ejpam-4877	675	2	s. divya rashmi	PERSON
ejpam-4877	675	3	s. amurugan	PERSON
ejpam-4877	675	4	i. venkat	PERSON
ejpam-4877	678	1	soft compu	PERSON
ejpam-4877	679	1	8(2):79–83	CARDINAL
ejpam-4877	679	2	2016	DATE
ejpam-4877	680	1	20	CARDINAL
ejpam-4877	680	2	g. salasalan	PERSON
ejpam-4877	680	3	s. canoy jr.	PERSON
ejpam-4877	682	1	j. pure	PERSON
ejpam-4877	682	2	14(1):112–125	DATE
ejpam-4877	682	3	2021	DATE
ejpam-4877	683	1	21	CARDINAL
ejpam-4877	683	2	e. sampathkumar	PERSON
ejpam-4877	683	3	h. walikar	PERSON
ejpam-4877	685	1	j. math	PERSON
ejpam-4877	687	1	sci.	ORG
ejpam-4877	687	2	13(6):607–613, 1979	DATE