id	sid	eid	entity	type
ejpam-4687	1	1	european journal	ORG
ejpam-4687	2	1	16	CARDINAL
ejpam-4687	2	2	2	CARDINAL
ejpam-4687	2	3	2023	CARDINAL
ejpam-4687	2	4	1212-1227	CARDINAL
ejpam-4687	2	5	new york	GPE
ejpam-4687	2	6	javier a. hassan1,∗	PERSON
ejpam-4687	2	7	sergio r. canoy	PERSON
ejpam-4687	2	8	sciences department	ORG
ejpam-4687	2	9	msu tawi-tawi college of technology	ORG
ejpam-4687	2	10	2department	TIME
ejpam-4687	2	11	institute of science	ORG
ejpam-4687	2	12	msu-iligan institute of technology	ORG
ejpam-4687	2	13	9200	CARDINAL
ejpam-4687	2	14	iligan city	GPE
ejpam-4687	2	15	philippines	GPE
ejpam-4687	4	1	grundy	PERSON
ejpam-4687	4	2	grundy	PERSON
ejpam-4687	5	1	grundy	PERSON
ejpam-4687	5	2	grundy	PERSON
ejpam-4687	6	1	grundy	PERSON
ejpam-4687	7	1	2020	DATE
ejpam-4687	7	2	05c69	CARDINAL
ejpam-4687	7	3	grundy	PERSON
ejpam-4687	7	4	grundy	PERSON
ejpam-4687	7	5	1	CARDINAL
ejpam-4687	7	6	2014	DATE
ejpam-4687	8	1	6	CARDINAL
ejpam-4687	9	1	3	CARDINAL
ejpam-4687	9	2	4	CARDINAL
ejpam-4687	9	3	5	CARDINAL
ejpam-4687	9	4	12	CARDINAL
ejpam-4687	10	1	5	CARDINAL
ejpam-4687	12	1	1	CARDINAL
ejpam-4687	12	2	2	CARDINAL
ejpam-4687	12	3	9	CARDINAL
ejpam-4687	12	4	10	CARDINAL
ejpam-4687	12	5	11	CARDINAL
ejpam-4687	12	6	13	CARDINAL
ejpam-4687	14	1	j. hassan	PERSON
ejpam-4687	14	2	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-4687	14	3	s. canoy	PERSON
ejpam-4687	14	4	1212	CARDINAL
ejpam-4687	14	5	2023	CARDINAL
ejpam-4687	15	1	j. hassan	PERSON
ejpam-4687	15	2	s. canoy jr.	PERSON
ejpam-4687	16	1	j. pure	PERSON
ejpam-4687	16	2	16	CARDINAL
ejpam-4687	16	3	2	CARDINAL
ejpam-4687	16	4	2023	CARDINAL
ejpam-4687	16	5	1212-1227 1213	CARDINAL
ejpam-4687	16	6	hassan et al	PERSON
ejpam-4687	17	1	8	CARDINAL
ejpam-4687	17	2	grundy	PERSON
ejpam-4687	18	1	grundy	PERSON
ejpam-4687	19	1	grundy	PERSON
ejpam-4687	20	1	grundy	PERSON
ejpam-4687	21	1	grundy	PERSON
ejpam-4687	23	1	2.	CARDINAL
ejpam-4687	24	1	two	CARDINAL
ejpam-4687	25	1	⊆	CARDINAL
ejpam-4687	26	1	⋃	PERSON
ejpam-4687	28	1	⊆	CARDINAL
ejpam-4687	28	2	\d	ORG
ejpam-4687	29	1	γ(g	NORP
ejpam-4687	30	1	2	CARDINAL
ejpam-4687	30	2	k}.	PERSON
ejpam-4687	32	1	γgr(g	ORG
ejpam-4687	33	1	vertex vi footprints the vertices	ORG
ejpam-4687	33	2	vi	PERSON
ejpam-4687	34	1	grundy	PERSON
ejpam-4687	35	1	2	CARDINAL
ejpam-4687	36	1	n2 g(u	PRODUCT
ejpam-4687	36	2	∈	ORG
ejpam-4687	36	3	2	CARDINAL
ejpam-4687	37	1	⊆	CARDINAL
ejpam-4687	37	2	n2 g(x	PRODUCT
ejpam-4687	38	1	⋃	PERSON
ejpam-4687	38	2	n2 g(u	PRODUCT
ejpam-4687	40	1	⊆	CARDINAL
ejpam-4687	41	1	2	CARDINAL
ejpam-4687	44	1	j. hassan	PERSON
ejpam-4687	44	2	s. canoy jr.	PERSON
ejpam-4687	45	1	j. pure	PERSON
ejpam-4687	45	2	16	CARDINAL
ejpam-4687	45	3	2	CARDINAL
ejpam-4687	45	4	2023	CARDINAL
ejpam-4687	45	5	1212-1227 1214	DATE
ejpam-4687	48	1	2	CARDINAL
ejpam-4687	48	2	2	CARDINAL
ejpam-4687	48	3	k}.	PERSON
ejpam-4687	49	1	grundy	PERSON
ejpam-4687	50	1	grundy	PERSON
ejpam-4687	50	2	grundy	PERSON
ejpam-4687	50	3	n2	PRODUCT
ejpam-4687	51	1	2	CARDINAL
ejpam-4687	51	2	vi	PERSON
ejpam-4687	52	1	grundy	PERSON
ejpam-4687	52	2	grundy	PERSON
ejpam-4687	52	3	⟨ŝ⟩	PERSON
ejpam-4687	53	1	grundy	PERSON
ejpam-4687	53	2	γchgr	ORG
ejpam-4687	53	3	grundy	PERSON
ejpam-4687	54	1	2	CARDINAL
ejpam-4687	54	2	vi	PERSON
ejpam-4687	55	1	grundy	PERSON
ejpam-4687	55	2	γchgr	ORG
ejpam-4687	55	3	grundy	PERSON
ejpam-4687	57	1	2	CARDINAL
ejpam-4687	57	2	k}	PERSON
ejpam-4687	60	1	i=1[v	ORG
ejpam-4687	60	2	grundy	PERSON
ejpam-4687	62	1	s(g	PERSON
ejpam-4687	62	2	two	CARDINAL
ejpam-4687	62	3	g1	ORG
ejpam-4687	63	1	two	CARDINAL
ejpam-4687	64	1	g and h	ORG
ejpam-4687	64	2	+ h	GPE
ejpam-4687	65	1	∈	ORG
ejpam-4687	66	1	3	CARDINAL
ejpam-4687	66	2	1	CARDINAL
ejpam-4687	69	1	grundy	PERSON
ejpam-4687	70	1	grundy	PERSON
ejpam-4687	71	1	grundy	PERSON
ejpam-4687	71	2	grundy	PERSON
ejpam-4687	72	1	j. hassan	PERSON
ejpam-4687	72	2	s. canoy jr.	PERSON
ejpam-4687	73	1	j. pure	PERSON
ejpam-4687	73	2	16	CARDINAL
ejpam-4687	73	3	2	CARDINAL
ejpam-4687	73	4	2023	CARDINAL
ejpam-4687	73	5	1212-1227 1215	CARDINAL
ejpam-4687	73	6	1	CARDINAL
ejpam-4687	75	1	⊆	CARDINAL
ejpam-4687	76	1	2	CARDINAL
ejpam-4687	76	2	grundy	PERSON
ejpam-4687	76	3	γchgr	ORG
ejpam-4687	77	1	v1 v2 v3 v4 v5 v6	PERSON
ejpam-4687	77	2	1	CARDINAL
ejpam-4687	77	3	grundy	PERSON
ejpam-4687	78	1	w	GPE
ejpam-4687	79	1	⊆ n2	QUANTITY
ejpam-4687	81	1	grundy	PERSON
ejpam-4687	85	1	⟨ŝ⟩	PERSON
ejpam-4687	86	1	grundy	PERSON
ejpam-4687	86	2	2	CARDINAL
ejpam-4687	88	1	γchgr	ORG
ejpam-4687	91	1	first	ORDINAL
ejpam-4687	91	2	grundy	PERSON
ejpam-4687	92	1	grundy	PERSON
ejpam-4687	92	2	second	ORDINAL
ejpam-4687	95	1	γchgr	ORG
ejpam-4687	97	1	4	CARDINAL
ejpam-4687	97	2	first	ORDINAL
ejpam-4687	97	3	2	CARDINAL
ejpam-4687	98	1	s5	GPE
ejpam-4687	98	2	s6	GPE
ejpam-4687	98	3	s5	GPE
ejpam-4687	98	4	s6	GPE
ejpam-4687	100	1	4	CARDINAL
ejpam-4687	100	2	6	CARDINAL
ejpam-4687	100	3	γchgr	ORG
ejpam-4687	100	4	6	CARDINAL
ejpam-4687	101	1	j. hassan	PERSON
ejpam-4687	101	2	s. canoy jr.	PERSON
ejpam-4687	102	1	j. pure	PERSON
ejpam-4687	102	2	16	CARDINAL
ejpam-4687	102	3	2	CARDINAL
ejpam-4687	102	4	2023	CARDINAL
ejpam-4687	102	5	1212-1227 1216	QUANTITY
ejpam-4687	102	6	s2 s5 s1 g	PERSON
ejpam-4687	102	7	s6	ORG
ejpam-4687	102	8	2	CARDINAL
ejpam-4687	102	9	3	CARDINAL
ejpam-4687	103	1	u4, u5	ORG
ejpam-4687	103	2	u7	ORG
ejpam-4687	105	1	γchgr	ORG
ejpam-4687	105	2	3	CARDINAL
ejpam-4687	106	1	4	CARDINAL
ejpam-4687	106	2	γchgr	ORG
ejpam-4687	106	3	3	CARDINAL
ejpam-4687	106	4	4	CARDINAL
ejpam-4687	107	1	u5 u4 g′	PERSON
ejpam-4687	107	2	3	CARDINAL
ejpam-4687	107	3	1	CARDINAL
ejpam-4687	109	1	⟨ŝ⟩	PERSON
ejpam-4687	109	2	grundy	PERSON
ejpam-4687	110	1	k. proof	PERSON
ejpam-4687	111	1	⟨ŝ⟩	PERSON
ejpam-4687	112	1	∈	ORG
ejpam-4687	113	1	∈	ORG
ejpam-4687	113	2	1	CARDINAL
ejpam-4687	113	3	2	DATE
ejpam-4687	119	1	thenm ≥ 4	PERSON
ejpam-4687	119	2	q4 /∈ n2 g[u	PERSON
ejpam-4687	120	1	⟨ŝ∗⟩	GPE
ejpam-4687	120	2	q4 ∈ n2 g[q2	PERSON
ejpam-4687	121	1	2	CARDINAL
ejpam-4687	121	2	grundy	PERSON
ejpam-4687	124	1	j. hassan	PERSON
ejpam-4687	124	2	s. canoy jr.	PERSON
ejpam-4687	125	1	j. pure	PERSON
ejpam-4687	125	2	16	CARDINAL
ejpam-4687	125	3	2	CARDINAL
ejpam-4687	125	4	2023	CARDINAL
ejpam-4687	125	5	1212-1227 1217	QUANTITY
ejpam-4687	128	1	⟨ŝ⟩	GPE
ejpam-4687	130	1	1	CARDINAL
ejpam-4687	131	1	8	CARDINAL
ejpam-4687	131	2	2	CARDINAL
ejpam-4687	134	1	2	CARDINAL
ejpam-4687	136	1	1 ≤	CARDINAL
ejpam-4687	137	1	1	CARDINAL
ejpam-4687	138	1	γchgr	ORG
ejpam-4687	138	2	2	CARDINAL
ejpam-4687	138	3	c5	ORG
ejpam-4687	138	4	∈	ORG
ejpam-4687	139	1	γchgr	ORG
ejpam-4687	142	1	1 ≤	CARDINAL
ejpam-4687	143	1	1	CARDINAL
ejpam-4687	144	1	2	CARDINAL
ejpam-4687	145	1	2	CARDINAL
ejpam-4687	145	2	γchgr	ORG
ejpam-4687	145	3	2	CARDINAL
ejpam-4687	149	1	γchgr	ORG
ejpam-4687	150	1	2	CARDINAL
ejpam-4687	151	1	c3	PERSON
ejpam-4687	153	1	z}⟩	ORG
ejpam-4687	153	2	1	CARDINAL
ejpam-4687	153	3	γchgr	ORG
ejpam-4687	153	4	3	CARDINAL
ejpam-4687	159	1	1	CARDINAL
ejpam-4687	159	2	γchgr	ORG
ejpam-4687	159	3	3	CARDINAL
ejpam-4687	160	1	5	CARDINAL
ejpam-4687	165	1	k ≥ 2	ORG
ejpam-4687	166	1	1	CARDINAL
ejpam-4687	166	2	2	DATE
ejpam-4687	171	1	1	CARDINAL
ejpam-4687	172	1	⟨ŝ⟩	PERSON
ejpam-4687	173	1	1 ≤ j ≤ k	QUANTITY
ejpam-4687	173	2	j ̸=	PERSON
ejpam-4687	174	1	j < k	PERSON
ejpam-4687	174	2	n2 g[vk	ORG
ejpam-4687	174	3	⊆ n2 g[vi	QUANTITY
ejpam-4687	174	4	{vi	PERSON
ejpam-4687	175	1	n2 g[vk]\∪ k−1	ORG
ejpam-4687	175	2	2	CARDINAL
ejpam-4687	176	1	j = k	PERSON
ejpam-4687	176	2	1	CARDINAL
ejpam-4687	176	3	2	DATE
ejpam-4687	177	1	1	CARDINAL
ejpam-4687	178	1	⟨ŝ⟩	PERSON
ejpam-4687	180	1	w /∈ n2 g[v1	PERSON
ejpam-4687	181	1	v2-w	PRODUCT
ejpam-4687	182	1	w ∈ n2	PERSON
ejpam-4687	186	1	v2	PRODUCT
ejpam-4687	186	2	w	GPE
ejpam-4687	186	3	5	CARDINAL
ejpam-4687	187	1	w ∈ n2	PERSON
ejpam-4687	187	2	⊆	CARDINAL
ejpam-4687	188	1	2	CARDINAL
ejpam-4687	188	2	γchgr	ORG
ejpam-4687	188	3	2	CARDINAL
ejpam-4687	188	4	γchgr	ORG
ejpam-4687	188	5	2	CARDINAL
ejpam-4687	189	1	1	CARDINAL
ejpam-4687	189	2	j. hassan	PERSON
ejpam-4687	189	3	s. canoy jr.	PERSON
ejpam-4687	190	1	j. pure	PERSON
ejpam-4687	190	2	16	CARDINAL
ejpam-4687	190	3	2	CARDINAL
ejpam-4687	190	4	2023	CARDINAL
ejpam-4687	190	5	1212-1227 1218	CARDINAL
ejpam-4687	191	1	∈	ORG
ejpam-4687	195	1	n2 g[ai	ORG
ejpam-4687	195	2	2	CARDINAL
ejpam-4687	196	1	aj	PERSON
ejpam-4687	196	2	j ̸=	PERSON
ejpam-4687	196	3	2	CARDINAL
ejpam-4687	196	4	3	DATE
ejpam-4687	199	1	γchgr	ORG
ejpam-4687	199	2	2	CARDINAL
ejpam-4687	199	3	2	CARDINAL
ejpam-4687	201	1	γchgr	ORG
ejpam-4687	201	2	2	CARDINAL
ejpam-4687	201	3	∈	ORG
ejpam-4687	202	1	3	CARDINAL
ejpam-4687	204	1	γchgr	ORG
ejpam-4687	204	2	1	CARDINAL
ejpam-4687	205	1	2	CARDINAL
ejpam-4687	210	1	γchgr	GPE
ejpam-4687	211	1	4	CARDINAL
ejpam-4687	214	1	2	CARDINAL
ejpam-4687	214	2	γchgr	ORG
ejpam-4687	215	1	2	CARDINAL
ejpam-4687	215	2	γchgr	ORG
ejpam-4687	215	3	2− 2	DATE
ejpam-4687	215	4	n. v1 v3 v2	PERSON
ejpam-4687	216	1	4	CARDINAL
ejpam-4687	216	2	5	CARDINAL
ejpam-4687	217	1	w	GPE
ejpam-4687	221	1	γchgr	ORG
ejpam-4687	221	2	3	CARDINAL
ejpam-4687	223	1	n. j. hassan	PERSON
ejpam-4687	223	2	s. canoy jr.	PERSON
ejpam-4687	224	1	j. pure	PERSON
ejpam-4687	224	2	16	CARDINAL
ejpam-4687	224	3	2	CARDINAL
ejpam-4687	224	4	2023	CARDINAL
ejpam-4687	224	5	1212-1227 1219	CARDINAL
ejpam-4687	225	1	v1 v2 v3	PERSON
ejpam-4687	225	2	5	CARDINAL
ejpam-4687	229	1	γchgr	ORG
ejpam-4687	231	1	2	CARDINAL
ejpam-4687	231	2	grundy	PERSON
ejpam-4687	231	3	grundy	PERSON
ejpam-4687	232	1	3	CARDINAL
ejpam-4687	233	1	3 ≤	QUANTITY
ejpam-4687	234	1	γchgr	ORG
ejpam-4687	241	1	1	CARDINAL
ejpam-4687	242	1	6	CARDINAL
ejpam-4687	242	2	ym−1, w}⟩	ORG
ejpam-4687	245	1	va	GPE
ejpam-4687	245	2	ym−1	PERSON
ejpam-4687	245	3	w	GPE
ejpam-4687	245	4	va	GPE
ejpam-4687	246	1	= b. j. hassan	PERSON
ejpam-4687	246	2	s. canoy jr.	PERSON
ejpam-4687	247	1	j. pure	PERSON
ejpam-4687	247	2	16	CARDINAL
ejpam-4687	247	3	2	CARDINAL
ejpam-4687	247	4	2023	CARDINAL
ejpam-4687	247	5	1212-1227 1220	CARDINAL
ejpam-4687	249	1	v2 va−1 va	PERSON
ejpam-4687	250	1	6	CARDINAL
ejpam-4687	251	1	2	CARDINAL
ejpam-4687	252	1	7	CARDINAL
ejpam-4687	252	2	ym−1, w}⟩	ORG
ejpam-4687	257	1	ym−1	GPE
ejpam-4687	257	2	w	GPE
ejpam-4687	257	3	va	GPE
ejpam-4687	260	1	γch(g ′	DATE
ejpam-4687	263	1	v2 va−1 va	PERSON
ejpam-4687	264	1	7	CARDINAL
ejpam-4687	265	1	8	CARDINAL
ejpam-4687	268	1	xa	PERSON
ejpam-4687	269	1	′′	ORG
ejpam-4687	269	2	xa−1	PERSON
ejpam-4687	269	3	ym	PERSON
ejpam-4687	269	4	γchgr	GPE
ejpam-4687	270	1	γchgr	ORG
ejpam-4687	271	1	m+	CARDINAL
ejpam-4687	271	2	1	CARDINAL
ejpam-4687	271	3	b. j. hassan	PERSON
ejpam-4687	271	4	s. canoy jr.	PERSON
ejpam-4687	272	1	j. pure	PERSON
ejpam-4687	272	2	16	CARDINAL
ejpam-4687	272	3	2	CARDINAL
ejpam-4687	272	4	2023	CARDINAL
ejpam-4687	272	5	1212-1227 1221	DATE
ejpam-4687	276	1	xa−1 xa	PERSON
ejpam-4687	277	1	8	CARDINAL
ejpam-4687	279	1	3	CARDINAL
ejpam-4687	280	1	8	CARDINAL
ejpam-4687	280	2	integer n ≥ 2	PRODUCT
ejpam-4687	280	3	2	CARDINAL
ejpam-4687	280	4	2	CARDINAL
ejpam-4687	280	5	3	CARDINAL
ejpam-4687	280	6	2	CARDINAL
ejpam-4687	280	7	4	CARDINAL
ejpam-4687	281	1	integer n ≥ 2	PRODUCT
ejpam-4687	281	2	γchgr	ORG
ejpam-4687	281	3	2	CARDINAL
ejpam-4687	281	4	2	CARDINAL
ejpam-4687	281	5	3	CARDINAL
ejpam-4687	281	6	2	CARDINAL
ejpam-4687	285	1	γchgr	ORG
ejpam-4687	285	2	2	CARDINAL
ejpam-4687	285	3	2	CARDINAL
ejpam-4687	285	4	3	DATE
ejpam-4687	286	1	n ≥ 4	DATE
ejpam-4687	288	1	grundy	PERSON
ejpam-4687	289	1	γchgr	ORG
ejpam-4687	289	2	γchgr	ORG
ejpam-4687	289	3	4	CARDINAL
ejpam-4687	289	4	2	CARDINAL
ejpam-4687	289	5	γchgr	ORG
ejpam-4687	290	1	n. if |n2 g[v]| ≥ m	ORG
ejpam-4687	290	2	1	CARDINAL
ejpam-4687	296	1	γchgr	ORG
ejpam-4687	297	1	grundy	PERSON
ejpam-4687	297	2	1	CARDINAL
ejpam-4687	301	1	γchgr	ORG
ejpam-4687	302	1	|{vi}|	PRODUCT
ejpam-4687	302	2	1	CARDINAL
ejpam-4687	302	3	1	CARDINAL
ejpam-4687	303	1	5	CARDINAL
ejpam-4687	305	1	3	CARDINAL
ejpam-4687	305	2	2	CARDINAL
ejpam-4687	305	3	j. hassan	PERSON
ejpam-4687	305	4	s. canoy jr.	PERSON
ejpam-4687	306	1	j. pure	PERSON
ejpam-4687	306	2	16	CARDINAL
ejpam-4687	306	3	2	CARDINAL
ejpam-4687	306	4	2023	CARDINAL
ejpam-4687	306	5	1212-1227	CARDINAL
ejpam-4687	306	6	6	CARDINAL
ejpam-4687	307	1	8	CARDINAL
ejpam-4687	308	1	3	CARDINAL
ejpam-4687	308	2	3 2	CARDINAL
ejpam-4687	308	3	4	CARDINAL
ejpam-4687	308	4	4	CARDINAL
ejpam-4687	308	5	2	CARDINAL
ejpam-4687	308	6	n ≥ 5 and odd	DATE
ejpam-4687	310	1	3	CARDINAL
ejpam-4687	310	2	γchgr	ORG
ejpam-4687	310	3	2	CARDINAL
ejpam-4687	310	4	4 3	DATE
ejpam-4687	310	5	3	CARDINAL
ejpam-4687	310	6	5	CARDINAL
ejpam-4687	310	7	4	CARDINAL
ejpam-4687	310	8	3	CARDINAL
ejpam-4687	313	1	γchgr	ORG
ejpam-4687	313	2	3	CARDINAL
ejpam-4687	313	3	γchgr	ORG
ejpam-4687	313	4	c5	ORG
ejpam-4687	313	5	γchgr	ORG
ejpam-4687	313	6	2	CARDINAL
ejpam-4687	315	1	∈	PRODUCT
ejpam-4687	315	2	2	CARDINAL
ejpam-4687	315	3	3	CARDINAL
ejpam-4687	315	4	4	DATE
ejpam-4687	316	1	grundy	PERSON
ejpam-4687	317	1	γchgr	ORG
ejpam-4687	318	1	γhgr(cn	PERSON
ejpam-4687	318	2	γchgr	ORG
ejpam-4687	318	3	4	CARDINAL
ejpam-4687	318	4	2	CARDINAL
ejpam-4687	318	5	γchgr	ORG
ejpam-4687	318	6	4	CARDINAL
ejpam-4687	319	1	n ≥ 7	ORG
ejpam-4687	320	1	vn−4	ORG
ejpam-4687	321	1	grundy	PERSON
ejpam-4687	321	2	γchgr	ORG
ejpam-4687	321	3	3	CARDINAL
ejpam-4687	322	1	1	CARDINAL
ejpam-4687	323	1	11	CARDINAL
ejpam-4687	323	2	two	CARDINAL
ejpam-4687	324	1	w ∈	PERSON
ejpam-4687	324	2	g1	ORG
ejpam-4687	324	3	w′ ∈	PERSON
ejpam-4687	324	4	w	GPE
ejpam-4687	327	1	g1	ORG
ejpam-4687	327	2	s(g	PERSON
ejpam-4687	327	3	⊆	CARDINAL
ejpam-4687	327	4	g1	ORG
ejpam-4687	327	5	⊆	CARDINAL
ejpam-4687	327	6	d′	PERSON
ejpam-4687	327	7	d′	PERSON
ejpam-4687	328	1	∈	ORG
ejpam-4687	328	2	w ∈	PERSON
ejpam-4687	328	3	g1	ORG
ejpam-4687	329	1	4	CARDINAL
ejpam-4687	330	1	s(g	PERSON
ejpam-4687	331	1	s(g	PERSON
ejpam-4687	331	2	g1	ORG
ejpam-4687	333	1	cg2	PRODUCT
ejpam-4687	334	1	g1	ORG
ejpam-4687	334	2	cg2	PRODUCT
ejpam-4687	334	3	g1	ORG
ejpam-4687	335	1	j. hassan	PERSON
ejpam-4687	335	2	s. canoy jr.	PERSON
ejpam-4687	336	1	j. pure	PERSON
ejpam-4687	336	2	16	CARDINAL
ejpam-4687	336	3	2	CARDINAL
ejpam-4687	336	4	2023	CARDINAL
ejpam-4687	336	5	1212-1227	CARDINAL
ejpam-4687	337	1	g1	ORG
ejpam-4687	338	1	cg2 = ∅	PERSON
ejpam-4687	338	2	g1	ORG
ejpam-4687	339	1	cg2	PRODUCT
ejpam-4687	341	1	cg2 ̸=	PERSON
ejpam-4687	341	2	g1	ORG
ejpam-4687	343	1	s(g	PERSON
ejpam-4687	344	1	2	CARDINAL
ejpam-4687	345	1	∈	ORG
ejpam-4687	346	1	∈	ORG
ejpam-4687	346	2	z′	PERSON
ejpam-4687	346	3	g1	ORG
ejpam-4687	348	1	dg1(x	PERSON
ejpam-4687	348	2	2	CARDINAL
ejpam-4687	348	3	1	CARDINAL
ejpam-4687	348	4	g1	ORG
ejpam-4687	351	1	g1	ORG
ejpam-4687	352	1	g1	ORG
ejpam-4687	352	2	cg2	PRODUCT
ejpam-4687	355	1	∈	ORG
ejpam-4687	356	1	∈	ORG
ejpam-4687	356	2	g1	ORG
ejpam-4687	356	3	dg1(a	NORP
ejpam-4687	356	4	2	CARDINAL
ejpam-4687	356	5	∈	ORG
ejpam-4687	356	6	∈	ORG
ejpam-4687	356	7	g1	ORG
ejpam-4687	357	1	dg1(a	NORP
ejpam-4687	358	1	2	CARDINAL
ejpam-4687	360	1	dg1(u	PERSON
ejpam-4687	361	1	2	CARDINAL
ejpam-4687	362	1	2	CARDINAL
ejpam-4687	362	2	s(g	PERSON
ejpam-4687	364	1	s(g	PERSON
ejpam-4687	365	1	s(g	PERSON
ejpam-4687	368	1	cg2	PRODUCT
ejpam-4687	369	1	∈	ORG
ejpam-4687	369	2	g1	ORG
ejpam-4687	373	1	∈	ORG
ejpam-4687	373	2	2	CARDINAL
ejpam-4687	375	1	g1	ORG
ejpam-4687	375	2	w ∈	ORG
ejpam-4687	375	3	dg1(w	PERSON
ejpam-4687	375	4	2	CARDINAL
ejpam-4687	376	1	w ∈	PERSON
ejpam-4687	376	2	2	CARDINAL
ejpam-4687	376	3	1	CARDINAL
ejpam-4687	377	1	w ∈	CARDINAL
ejpam-4687	377	2	dg2(w ′	DATE
ejpam-4687	378	1	2	CARDINAL
ejpam-4687	378	2	1	CARDINAL
ejpam-4687	379	1	s(g	PERSON
ejpam-4687	381	1	s(g	PERSON
ejpam-4687	382	1	4	CARDINAL
ejpam-4687	383	1	s(g	PERSON
ejpam-4687	386	1	5	CARDINAL
ejpam-4687	387	1	s(g	PERSON
ejpam-4687	388	1	grundy	PERSON
ejpam-4687	388	2	grundy	PERSON
ejpam-4687	388	3	s(g	PERSON
ejpam-4687	389	1	γchgr	ORG
ejpam-4687	393	1	grundy	PERSON
ejpam-4687	393	2	g1	ORG
ejpam-4687	394	1	g1	ORG
ejpam-4687	395	1	s(g	PERSON
ejpam-4687	395	2	4	CARDINAL
ejpam-4687	396	1	2	CARDINAL
ejpam-4687	396	2	3	DATE
ejpam-4687	399	1	2	CARDINAL
ejpam-4687	401	1	2	CARDINAL
ejpam-4687	401	2	1	CARDINAL
ejpam-4687	401	3	2	CARDINAL
ejpam-4687	402	1	2	CARDINAL
ejpam-4687	403	1	2	CARDINAL
ejpam-4687	405	1	2	CARDINAL
ejpam-4687	405	2	⊆	CARDINAL
ejpam-4687	405	3	2 s(g)[vj	PERSON
ejpam-4687	406	1	j. hassan	PERSON
ejpam-4687	406	2	s. canoy jr.	PERSON
ejpam-4687	407	1	j. pure	PERSON
ejpam-4687	407	2	16	CARDINAL
ejpam-4687	407	3	2	CARDINAL
ejpam-4687	407	4	2023	CARDINAL
ejpam-4687	407	5	1212-1227 1224	CARDINAL
ejpam-4687	407	6	s(g	DATE
ejpam-4687	407	7	grundy	PERSON
ejpam-4687	407	8	s(g	DATE
ejpam-4687	408	1	grundy	PERSON
ejpam-4687	408	2	s(g	PERSON
ejpam-4687	408	3	grundy	PERSON
ejpam-4687	409	1	γchgr	ORG
ejpam-4687	410	1	2	CARDINAL
ejpam-4687	416	1	γgr(g	ORG
ejpam-4687	416	2	st	PERSON
ejpam-4687	421	1	1	CARDINAL
ejpam-4687	421	2	1	CARDINAL
ejpam-4687	421	3	2	DATE
ejpam-4687	421	4	2	CARDINAL
ejpam-4687	421	5	3 3	DATE
ejpam-4687	423	1	2	CARDINAL
ejpam-4687	423	2	3	DATE
ejpam-4687	423	3	1	CARDINAL
ejpam-4687	423	4	2	CARDINAL
ejpam-4687	426	1	γgr(g	ORG
ejpam-4687	426	2	3	CARDINAL
ejpam-4687	427	1	i.	PERSON
ejpam-4687	427	2	first	ORDINAL
ejpam-4687	427	3	only two	CARDINAL
ejpam-4687	427	4	ng[vi	NORP
ejpam-4687	428	1	γgr(g	ORG
ejpam-4687	429	1	3	CARDINAL
ejpam-4687	432	1	3	CARDINAL
ejpam-4687	432	2	3	CARDINAL
ejpam-4687	432	3	2	DATE
ejpam-4687	432	4	4 3	DATE
ejpam-4687	432	5	n ≥ 5	DATE
ejpam-4687	434	1	4	CARDINAL
ejpam-4687	434	2	3	CARDINAL
ejpam-4687	435	1	2	CARDINAL
ejpam-4687	438	1	γgr(g	ORG
ejpam-4687	438	2	3	CARDINAL
ejpam-4687	439	1	1	CARDINAL
ejpam-4687	440	1	i.	PERSON
ejpam-4687	440	2	first	ORDINAL
ejpam-4687	440	3	only two	CARDINAL
ejpam-4687	440	4	ng[vi	NORP
ejpam-4687	441	1	γgr(g	ORG
ejpam-4687	442	1	γgr(g	ORG
ejpam-4687	443	1	3	CARDINAL
ejpam-4687	444	1	8	CARDINAL
ejpam-4687	445	1	6	CARDINAL
ejpam-4687	446	1	two	CARDINAL
ejpam-4687	446	2	g +h.	ORG
ejpam-4687	447	1	g. j. hassan	PERSON
ejpam-4687	447	2	s. canoy jr.	PERSON
ejpam-4687	448	1	j. pure	PERSON
ejpam-4687	448	2	16	CARDINAL
ejpam-4687	448	3	2	CARDINAL
ejpam-4687	448	4	2023	CARDINAL
ejpam-4687	448	5	1212-1227 1225	CARDINAL
ejpam-4687	450	1	g+h	PRODUCT
ejpam-4687	452	1	1	CARDINAL
ejpam-4687	452	2	2	DATE
ejpam-4687	454	1	2	CARDINAL
ejpam-4687	454	2	3	DATE
ejpam-4687	458	1	ĉg = ĉ ∩v	ORG
ejpam-4687	458	2	ĉh = ĉ ∩v (h	ORG
ejpam-4687	461	1	an1	NORP
ejpam-4687	461	2	an2	GPE
ejpam-4687	465	1	amr	PERSON
ejpam-4687	466	1	n 2 g+h	PRODUCT
ejpam-4687	467	1	⊆	CARDINAL
ejpam-4687	467	2	1	CARDINAL
ejpam-4687	467	3	2	DATE
ejpam-4687	468	1	⊆	CARDINAL
ejpam-4687	468	2	1	CARDINAL
ejpam-4687	468	3	2	DATE
ejpam-4687	469	1	g+h	ORG
ejpam-4687	471	1	2 g+h	QUANTITY
ejpam-4687	472	1	2	CARDINAL
ejpam-4687	472	2	3	DATE
ejpam-4687	476	1	an1	NORP
ejpam-4687	476	2	an2	GPE
ejpam-4687	480	1	amr	PERSON
ejpam-4687	481	1	2	CARDINAL
ejpam-4687	481	2	3	DATE
ejpam-4687	484	1	∈	ORG
ejpam-4687	485	1	k ∈	PERSON
ejpam-4687	485	2	1	CARDINAL
ejpam-4687	485	3	2	DATE
ejpam-4687	489	1	2 g+h	QUANTITY
ejpam-4687	490	1	= n2 g+h	PERSON
ejpam-4687	491	1	2 g+h	QUANTITY
ejpam-4687	495	1	∈	ORG
ejpam-4687	495	2	1	CARDINAL
ejpam-4687	495	3	2	DATE
ejpam-4687	498	1	2 g+h	QUANTITY
ejpam-4687	499	1	= n2 g+h	PERSON
ejpam-4687	500	1	q−1	PERSON
ejpam-4687	500	2	2 g+h	QUANTITY
ejpam-4687	502	1	q−1 r=1[v (h) \nh(amr	PERSON
ejpam-4687	503	1	g+h	PRODUCT
ejpam-4687	504	1	7	CARDINAL
ejpam-4687	505	1	two	CARDINAL
ejpam-4687	505	2	g + h.	ORG
ejpam-4687	506	1	grundy	PERSON
ejpam-4687	509	1	grundy	PERSON
ejpam-4687	509	2	j. hassan	PERSON
ejpam-4687	509	3	s. canoy jr.	PERSON
ejpam-4687	510	1	j. pure	PERSON
ejpam-4687	510	2	16	CARDINAL
ejpam-4687	510	3	2	CARDINAL
ejpam-4687	510	4	2023	CARDINAL
ejpam-4687	510	5	1212-1227 1226	CARDINAL
ejpam-4687	510	6	g+h	ORG
ejpam-4687	511	1	6	CARDINAL
ejpam-4687	519	1	6	CARDINAL
ejpam-4687	520	1	grundy	PERSON
ejpam-4687	520	2	g+h	ORG
ejpam-4687	521	1	7	CARDINAL
ejpam-4687	521	2	8	CARDINAL
ejpam-4687	521	3	9	CARDINAL
ejpam-4687	523	1	γchgr	GPE
ejpam-4687	526	1	1 + γcogr(g	DATE
ejpam-4687	527	1	γchgr	PERSON
ejpam-4687	527	2	2	CARDINAL
ejpam-4687	527	3	n ≥ 1	DATE
ejpam-4687	527	4	4	CARDINAL
ejpam-4687	527	5	γchgr	ORG
ejpam-4687	527	6	4	CARDINAL
ejpam-4687	527	7	γchgr	ORG
ejpam-4687	527	8	6	CARDINAL
ejpam-4687	527	9	4	CARDINAL
ejpam-4687	527	10	vi	PERSON
ejpam-4687	527	11	γchgr	ORG
ejpam-4687	527	12	6	CARDINAL
ejpam-4687	527	13	5	CARDINAL
ejpam-4687	527	14	γchgr	ORG
ejpam-4687	527	15	6	CARDINAL
ejpam-4687	527	16	5	CARDINAL
ejpam-4687	527	17	4.	CARDINAL
ejpam-4687	527	18	grundy	PERSON
ejpam-4687	528	1	grundy	PERSON
ejpam-4687	529	1	s(g	PERSON
ejpam-4687	529	2	γchgr	ORG
ejpam-4687	529	3	s(g	PERSON
ejpam-4687	530	1	γchgr	ORG
ejpam-4687	531	1	grundy	PERSON
ejpam-4687	532	1	msu-iligan institute of technology	ORG
ejpam-4687	532	2	msu tawi-tawi college of technology	ORG
ejpam-4687	533	1	1227	CARDINAL
ejpam-4687	533	2	1	CARDINAL
ejpam-4687	533	3	b. krishnakumari	PERSON
ejpam-4687	533	4	b. natarjan	PERSON
ejpam-4687	535	1	2015	DATE
ejpam-4687	536	1	2	CARDINAL
ejpam-4687	536	2	c. natarajan	PERSON
ejpam-4687	536	3	g. sathiamoorphy	PERSON
ejpam-4687	538	1	2018	DATE
ejpam-4687	539	1	3	CARDINAL
ejpam-4687	539	2	bujtas	GPE
ejpam-4687	539	3	t. gologranc	GPE
ejpam-4687	539	4	s. klavzar	PERSON
ejpam-4687	539	5	g. kosmrlj	PERSON
ejpam-4687	539	6	zs	ORG
ejpam-4687	539	7	tuza	PERSON
ejpam-4687	539	8	m. vizer	PERSON
ejpam-4687	542	1	j. combin	PERSON
ejpam-4687	542	2	23):1–17	CARDINAL
ejpam-4687	542	3	2016	DATE
ejpam-4687	543	1	4	CARDINAL
ejpam-4687	543	2	bujtas	GPE
ejpam-4687	543	3	t. gologranc	GPE
ejpam-4687	543	4	s. klavzar	PERSON
ejpam-4687	543	5	g. kosmrlj	PERSON
ejpam-4687	543	6	zs	ORG
ejpam-4687	543	7	tuza	PERSON
ejpam-4687	543	8	m. vizer	PERSON
ejpam-4687	544	1	grundy	PERSON
ejpam-4687	544	2	zero	CARDINAL
ejpam-4687	545	1	26):66–77, 2017	DATE
ejpam-4687	546	1	5	CARDINAL
ejpam-4687	546	2	t. gologranc	GPE
ejpam-4687	546	3	t. kos	GPE
ejpam-4687	551	1	10):518–531, 2016	DATE
ejpam-4687	552	1	6	CARDINAL
ejpam-4687	552	2	t. gologranc	GPE
ejpam-4687	552	3	m. milanic	PERSON
ejpam-4687	552	4	d. rall	PERSON
ejpam-4687	552	5	r. rizzi	PERSON
ejpam-4687	555	1	336):22–36, 2014	DATE
ejpam-4687	556	1	7	CARDINAL
ejpam-4687	556	2	t. kos	GPE
ejpam-4687	557	1	grundy domination	PERSON
ejpam-4687	557	2	zero	CARDINAL
ejpam-4687	560	1	17):419–430, 2019	DATE
ejpam-4687	561	1	8	CARDINAL
ejpam-4687	561	2	j. hassan	PERSON
ejpam-4687	561	3	s. canoy jr.	PERSON
ejpam-4687	562	1	grundy	PERSON
ejpam-4687	564	1	j. pure	PERSON
ejpam-4687	564	2	15(4):1623–1636	CARDINAL
ejpam-4687	564	3	2022	CARDINAL
ejpam-4687	565	1	9	CARDINAL
ejpam-4687	565	2	j. hassan	PERSON
ejpam-4687	565	3	s. canoy jr.	PERSON
ejpam-4687	567	1	j. pure	PERSON
ejpam-4687	567	2	15(4):1783–1796	CARDINAL
ejpam-4687	567	3	2022	CARDINAL
ejpam-4687	568	1	10	CARDINAL
ejpam-4687	568	2	s. canoy jr.	PERSON
ejpam-4687	568	3	r. mollejon	PERSON
ejpam-4687	568	4	j. g. canoy	PERSON
ejpam-4687	571	1	j. pure	PERSON
ejpam-4687	572	1	12(4):1455–1463,	DATE
ejpam-4687	572	2	2019	DATE
ejpam-4687	573	1	11	CARDINAL
ejpam-4687	573	2	s. canoy jr.	PERSON
ejpam-4687	573	3	g. salasalan	PERSON
ejpam-4687	576	1	j. pure	PERSON
ejpam-4687	577	1	14):1415–1428	ORDINAL
ejpam-4687	577	2	2021	DATE
ejpam-4687	578	1	12	CARDINAL
ejpam-4687	579	1	grundy	PERSON
ejpam-4687	580	1	284):138–149, 2020	DATE
ejpam-4687	581	1	13	CARDINAL
ejpam-4687	581	2	c. natarajan	PERSON
ejpam-4687	581	3	s. ayyaswamy	ORG
ejpam-4687	582	1	versita	PERSON
ejpam-4687	582	2	23(2):187	CARDINAL
ejpam-4687	582	3	199	CARDINAL
ejpam-4687	582	4	2015	DATE