id	sid	eid	entity	type
ejpam-6075	1	1	european journal	ORG
ejpam-6075	1	2	2025	DATE
ejpam-6075	1	3	18	CARDINAL
ejpam-6075	1	4	2	CARDINAL
ejpam-6075	1	5	6075	CARDINAL
ejpam-6075	1	6	new york	GPE
ejpam-6075	1	7	farene loida	PERSON
ejpam-6075	1	8	m. alfeche1,∗	PERSON
ejpam-6075	1	9	gina a. malacas1,2	PERSON
ejpam-6075	1	10	sergio r. canoy	PERSON
ejpam-6075	1	11	1	CARDINAL
ejpam-6075	1	12	msu-iligan institute of technology	ORG
ejpam-6075	1	13	9200	CARDINAL
ejpam-6075	1	14	iligan city	GPE
ejpam-6075	1	15	2	CARDINAL
ejpam-6075	1	16	msu-iligan institute of technology	ORG
ejpam-6075	1	17	9200	CARDINAL
ejpam-6075	1	18	iligan city	GPE
ejpam-6075	1	19	philippines	GPE
ejpam-6075	3	1	∈	ORG
ejpam-6075	3	2	w ∈ s ∩n2	PERSON
ejpam-6075	6	1	2020	DATE
ejpam-6075	6	2	05c69	CARDINAL
ejpam-6075	6	3	1	CARDINAL
ejpam-6075	6	4	2003	DATE
ejpam-6075	7	1	1	CARDINAL
ejpam-6075	8	1	one	CARDINAL
ejpam-6075	10	1	2	CARDINAL
ejpam-6075	10	2	3	CARDINAL
ejpam-6075	10	3	4	CARDINAL
ejpam-6075	10	4	5	CARDINAL
ejpam-6075	10	5	6	CARDINAL
ejpam-6075	10	6	8	CARDINAL
ejpam-6075	11	1	9	CARDINAL
ejpam-6075	11	2	10	CARDINAL
ejpam-6075	12	1	natarajan et al	PERSON
ejpam-6075	13	1	11	CARDINAL
ejpam-6075	15	1	f. l. alfeche	PERSON
ejpam-6075	15	2	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-6075	15	3	s. r. canoy	PERSON
ejpam-6075	16	1	1	CARDINAL
ejpam-6075	16	2	2025	CARDINAL
ejpam-6075	17	1	f. l. alfeche	PERSON
ejpam-6075	17	2	g. a. malacas	PERSON
ejpam-6075	17	3	s. canoy jr.	PERSON
ejpam-6075	18	1	j. pure	PERSON
ejpam-6075	18	2	18	CARDINAL
ejpam-6075	18	3	2	CARDINAL
ejpam-6075	18	4	2025	CARDINAL
ejpam-6075	18	5	6075 2	QUANTITY
ejpam-6075	18	6	14	CARDINAL
ejpam-6075	18	7	12	CARDINAL
ejpam-6075	19	1	13	CARDINAL
ejpam-6075	20	1	14	CARDINAL
ejpam-6075	20	2	15	CARDINAL
ejpam-6075	20	3	16	CARDINAL
ejpam-6075	21	1	17	CARDINAL
ejpam-6075	22	1	18	CARDINAL
ejpam-6075	22	2	19	CARDINAL
ejpam-6075	22	3	20	CARDINAL
ejpam-6075	22	4	21	CARDINAL
ejpam-6075	22	5	22	CARDINAL
ejpam-6075	22	6	23	CARDINAL
ejpam-6075	28	1	2.	CARDINAL
ejpam-6075	29	1	two	CARDINAL
ejpam-6075	35	1	vertices u	PERSON
ejpam-6075	35	2	∈	ORG
ejpam-6075	37	1	⊆	CARDINAL
ejpam-6075	38	1	⋃	PERSON
ejpam-6075	40	1	∪x	CARDINAL
ejpam-6075	41	1	⊆	CARDINAL
ejpam-6075	42	1	γ(g	NORP
ejpam-6075	43	1	1	CARDINAL
ejpam-6075	43	2	⊆	CARDINAL
ejpam-6075	43	3	\d	ORG
ejpam-6075	43	4	w ∈ d ∩	PERSON
ejpam-6075	44	1	2	CARDINAL
ejpam-6075	45	1	n2 g(u	PRODUCT
ejpam-6075	45	2	∈	ORG
ejpam-6075	45	3	2	CARDINAL
ejpam-6075	46	1	⊆	CARDINAL
ejpam-6075	46	2	n2 g(x	PRODUCT
ejpam-6075	47	1	⋃	PERSON
ejpam-6075	47	2	n2 g(u	PRODUCT
ejpam-6075	49	1	⊆	CARDINAL
ejpam-6075	49	2	∈	ORG
ejpam-6075	50	1	n2 g(w	ORG
ejpam-6075	51	1	ephn(v;s	CARDINAL
ejpam-6075	52	1	⊆	CARDINAL
ejpam-6075	52	2	∈	PERSON
ejpam-6075	53	1	2	CARDINAL
ejpam-6075	55	1	∈	ORG
ejpam-6075	55	2	w ∈ s	PERSON
ejpam-6075	55	3	cardinality f. l. alfeche	ORG
ejpam-6075	55	4	g. a. malacas	PERSON
ejpam-6075	56	1	s. canoy jr.	PERSON
ejpam-6075	57	1	j. pure	PERSON
ejpam-6075	57	2	18	CARDINAL
ejpam-6075	57	3	2	CARDINAL
ejpam-6075	57	4	2025	CARDINAL
ejpam-6075	57	5	6075 3	DATE
ejpam-6075	57	6	14	CARDINAL
ejpam-6075	58	1	vw ∈	ORG
ejpam-6075	59	1	vw	GPE
ejpam-6075	60	1	two	CARDINAL
ejpam-6075	60	2	g1	ORG
ejpam-6075	60	3	∈	ORG
ejpam-6075	60	4	g1	ORG
ejpam-6075	61	1	∈	ORG
ejpam-6075	61	2	24	CARDINAL
ejpam-6075	61	3	25	CARDINAL
ejpam-6075	62	1	3	CARDINAL
ejpam-6075	63	1	1	CARDINAL
ejpam-6075	64	1	g1	ORG
ejpam-6075	66	1	gk	PERSON
ejpam-6075	70	1	1	CARDINAL
ejpam-6075	70	2	2	DATE
ejpam-6075	70	3	k}	PERSON
ejpam-6075	72	1	γh(gj	CARDINAL
ejpam-6075	73	1	1	CARDINAL
ejpam-6075	74	1	g1	ORG
ejpam-6075	76	1	gk	PERSON
ejpam-6075	79	1	1	CARDINAL
ejpam-6075	81	1	j ∈	PERSON
ejpam-6075	82	1	∈	ORG
ejpam-6075	83	1	y ∈ s	PERSON
ejpam-6075	87	1	γsh(gj	PRODUCT
ejpam-6075	90	1	1	CARDINAL
ejpam-6075	91	1	∈	ORG
ejpam-6075	92	1	d.	NORP
ejpam-6075	92	2	∈	ORG
ejpam-6075	96	1	w ∈	PERSON
ejpam-6075	97	1	1	CARDINAL
ejpam-6075	98	1	f. l. alfeche	PERSON
ejpam-6075	98	2	g. a. malacas	PERSON
ejpam-6075	98	3	s. canoy jr.	PERSON
ejpam-6075	99	1	j. pure	PERSON
ejpam-6075	99	2	18	CARDINAL
ejpam-6075	99	3	2	CARDINAL
ejpam-6075	99	4	2025	CARDINAL
ejpam-6075	99	5	6075 4	DATE
ejpam-6075	101	1	γsh(gj	PRODUCT
ejpam-6075	103	1	2	CARDINAL
ejpam-6075	109	1	1	CARDINAL
ejpam-6075	109	2	wz1	LOC
ejpam-6075	110	1	2	CARDINAL
ejpam-6075	112	1	n + 2	ORG
ejpam-6075	112	2	w ∈	PERSON
ejpam-6075	112	3	zj	ORG
ejpam-6075	112	4	∈	PRODUCT
ejpam-6075	113	1	2	CARDINAL
ejpam-6075	113	2	3	DATE
ejpam-6075	113	3	n + 2	PRODUCT
ejpam-6075	114	1	zj	ORG
ejpam-6075	115	1	z3	GPE
ejpam-6075	115	2	zj	ORG
ejpam-6075	116	1	z3	GPE
ejpam-6075	116	2	zj	ORG
ejpam-6075	116	3	⊆	CARDINAL
ejpam-6075	116	4	d.	NORP
ejpam-6075	116	5	zj	ORG
ejpam-6075	116	6	zj	ORG
ejpam-6075	118	1	n + 2	ORG
ejpam-6075	198	1	1	CARDINAL
ejpam-6075	203	1	w ∈ s ∩n2	PERSON
ejpam-6075	203	2	⊆ n2	QUANTITY
ejpam-6075	206	1	w ∈ s ∩n2	PERSON
ejpam-6075	209	1	n2 g(z	PRODUCT
ejpam-6075	210	1	sv	ORG
ejpam-6075	211	1	⊆ n2	QUANTITY
ejpam-6075	214	1	∈	ORG
ejpam-6075	214	2	⊆	CARDINAL
ejpam-6075	215	1	f. l. alfeche	PERSON
ejpam-6075	215	2	g. a. malacas	PERSON
ejpam-6075	215	3	s. canoy jr.	PERSON
ejpam-6075	216	1	j. pure	PERSON
ejpam-6075	216	2	18	CARDINAL
ejpam-6075	216	3	2	CARDINAL
ejpam-6075	216	4	2025	CARDINAL
ejpam-6075	216	5	6075 5	DATE
ejpam-6075	216	6	14	DATE
ejpam-6075	217	1	⊆ n2	QUANTITY
ejpam-6075	217	2	y ∈	PERSON
ejpam-6075	217	3	∩ n2 g(x	PERSON
ejpam-6075	217	4	⊆	CARDINAL
ejpam-6075	218	1	∈	ORG
ejpam-6075	219	1	⊆	CARDINAL
ejpam-6075	223	1	w ∈ s ∩n2	PERSON
ejpam-6075	223	2	1	CARDINAL
ejpam-6075	223	3	2	CARDINAL
ejpam-6075	225	1	∈	ORG
ejpam-6075	226	1	w ∈ s	PERSON
ejpam-6075	227	1	⊆	CARDINAL
ejpam-6075	228	1	≥ 1	DATE
ejpam-6075	229	1	2	CARDINAL
ejpam-6075	230	1	⊆ n2	QUANTITY
ejpam-6075	231	1	3	CARDINAL
ejpam-6075	231	2	4	CARDINAL
ejpam-6075	234	1	{kn	PERSON
ejpam-6075	236	1	1	CARDINAL
ejpam-6075	242	1	∈	ORG
ejpam-6075	243	1	∈	ORG
ejpam-6075	243	2	n2 g(x	PRODUCT
ejpam-6075	244	1	∈	ORG
ejpam-6075	246	1	⊆	CARDINAL
ejpam-6075	252	1	∈	ORG
ejpam-6075	253	1	⊆	CARDINAL
ejpam-6075	254	1	second	ORDINAL
ejpam-6075	255	1	5	CARDINAL
ejpam-6075	256	1	1 ≤ γsh(g	QUANTITY
ejpam-6075	256	2	1	CARDINAL
ejpam-6075	256	3	2	CARDINAL
ejpam-6075	256	4	two	CARDINAL
ejpam-6075	256	5	w ∈	PERSON
ejpam-6075	256	6	g[{v	ORG
ejpam-6075	256	7	n2 g(v	ORG
ejpam-6075	256	8	g(w	ORG
ejpam-6075	258	1	⊆ n2	QUANTITY
ejpam-6075	259	1	⊆	CARDINAL
ejpam-6075	262	1	f. l. alfeche	PERSON
ejpam-6075	262	2	g. a. malacas	PERSON
ejpam-6075	262	3	s. canoy jr.	PERSON
ejpam-6075	263	1	j. pure	PERSON
ejpam-6075	263	2	18	CARDINAL
ejpam-6075	263	3	2	CARDINAL
ejpam-6075	263	4	2025	CARDINAL
ejpam-6075	263	5	6075 6	DATE
ejpam-6075	263	6	14	CARDINAL
ejpam-6075	264	1	1 ≤ γsh(g) ≤	QUANTITY
ejpam-6075	264	2	1	CARDINAL
ejpam-6075	265	1	1.	CARDINAL
ejpam-6075	266	1	2	CARDINAL
ejpam-6075	266	2	g[{v	ORG
ejpam-6075	267	1	∈	PRODUCT
ejpam-6075	267	2	g(v)∩n2 g(w	PERSON
ejpam-6075	269	1	∈	ORG
ejpam-6075	273	1	\d	ORG
ejpam-6075	275	1	dx	ORG
ejpam-6075	278	1	n2 g(z	PRODUCT
ejpam-6075	279	1	dx	ORG
ejpam-6075	280	1	ephn(v;d	ORG
ejpam-6075	280	2	⊆	CARDINAL
ejpam-6075	281	1	lemma 1	ORG
ejpam-6075	282	1	w ∈	PERSON
ejpam-6075	288	1	⊆ n2	QUANTITY
ejpam-6075	290	1	⊆	CARDINAL
ejpam-6075	291	1	1	CARDINAL
ejpam-6075	291	2	3	CARDINAL
ejpam-6075	291	3	2	CARDINAL
ejpam-6075	292	1	∈	ORG
ejpam-6075	292	2	⊆	CARDINAL
ejpam-6075	292	3	w ∈ n2 h(v	PERSON
ejpam-6075	298	1	g1	ORG
ejpam-6075	300	1	gk	PERSON
ejpam-6075	300	2	4	CARDINAL
ejpam-6075	302	1	1	CARDINAL
ejpam-6075	302	2	2	DATE
ejpam-6075	302	3	k}.	PERSON
ejpam-6075	304	1	1	CARDINAL
ejpam-6075	304	2	2	CARDINAL
ejpam-6075	305	1	3	CARDINAL
ejpam-6075	305	2	γ(g	NORP
ejpam-6075	306	1	1	CARDINAL
ejpam-6075	307	1	2	CARDINAL
ejpam-6075	307	2	d(g	ORG
ejpam-6075	307	3	∈	ORG
ejpam-6075	308	1	3	CARDINAL
ejpam-6075	309	1	g = kn	PERSON
ejpam-6075	309	2	3	CARDINAL
ejpam-6075	310	1	d(g	ORG
ejpam-6075	310	2	⊆	CARDINAL
ejpam-6075	310	3	3	CARDINAL
ejpam-6075	310	4	3	CARDINAL
ejpam-6075	310	5	2	CARDINAL
ejpam-6075	312	1	2	CARDINAL
ejpam-6075	314	1	6	CARDINAL
ejpam-6075	315	1	γ(g	NORP
ejpam-6075	316	1	1	CARDINAL
ejpam-6075	316	2	2	CARDINAL
ejpam-6075	316	3	g = k1,n−1	PERSON
ejpam-6075	316	4	1	CARDINAL
ejpam-6075	317	1	f. l. alfeche	PERSON
ejpam-6075	317	2	g. a. malacas	PERSON
ejpam-6075	317	3	s. canoy jr.	PERSON
ejpam-6075	318	1	j. pure	PERSON
ejpam-6075	318	2	18	CARDINAL
ejpam-6075	318	3	2	CARDINAL
ejpam-6075	318	4	2025	CARDINAL
ejpam-6075	318	5	6075 7	DATE
ejpam-6075	318	6	14	CARDINAL
ejpam-6075	320	1	2	CARDINAL
ejpam-6075	321	1	2	CARDINAL
ejpam-6075	321	2	k1,1	PERSON
ejpam-6075	321	3	n ≥ 3	DATE
ejpam-6075	321	4	2	CARDINAL
ejpam-6075	321	5	1	CARDINAL
ejpam-6075	321	6	d(g	ORG
ejpam-6075	324	1	1	CARDINAL
ejpam-6075	324	2	2	CARDINAL
ejpam-6075	325	1	∈	ORG
ejpam-6075	327	1	1	CARDINAL
ejpam-6075	329	1	g = k1,n−1	PERSON
ejpam-6075	330	1	g = k1,n−1	PERSON
ejpam-6075	331	1	2	CARDINAL
ejpam-6075	331	2	5(i	CARDINAL
ejpam-6075	332	1	1	CARDINAL
ejpam-6075	333	1	5(ii	CARDINAL
ejpam-6075	334	1	2	CARDINAL
ejpam-6075	334	2	2	CARDINAL
ejpam-6075	335	1	2	CARDINAL
ejpam-6075	335	2	γ(g	NORP
ejpam-6075	335	3	2	CARDINAL
ejpam-6075	335	4	2	CARDINAL
ejpam-6075	354	1	2	CARDINAL
ejpam-6075	354	2	2	CARDINAL
ejpam-6075	355	1	2	CARDINAL
ejpam-6075	355	2	1	CARDINAL
ejpam-6075	355	3	6	CARDINAL
ejpam-6075	355	4	5(ii	CARDINAL
ejpam-6075	356	1	2	CARDINAL
ejpam-6075	357	1	3 ≤ n ≤ 4	QUANTITY
ejpam-6075	358	1	2	CARDINAL
ejpam-6075	360	1	1	CARDINAL
ejpam-6075	360	2	5(ii	CARDINAL
ejpam-6075	361	1	2	CARDINAL
ejpam-6075	361	2	6	CARDINAL
ejpam-6075	361	3	2	CARDINAL
ejpam-6075	361	4	4	CARDINAL
ejpam-6075	361	5	2	CARDINAL
ejpam-6075	362	1	2	CARDINAL
ejpam-6075	362	2	γ(g	NORP
ejpam-6075	363	1	1	CARDINAL
ejpam-6075	363	2	two	CARDINAL
ejpam-6075	363	3	two	CARDINAL
ejpam-6075	364	1	3	CARDINAL
ejpam-6075	364	2	6	CARDINAL
ejpam-6075	368	1	1	CARDINAL
ejpam-6075	368	2	2	CARDINAL
ejpam-6075	368	3	2	CARDINAL
ejpam-6075	368	4	3 2	CARDINAL
ejpam-6075	368	5	4	CARDINAL
ejpam-6075	368	6	1 2t+ 1	CARDINAL
ejpam-6075	368	7	4t+ 1	DATE
ejpam-6075	368	8	1 2t+ 2	CARDINAL
ejpam-6075	368	9	4t+ 2	DATE
ejpam-6075	368	10	t ≥ 1	DATE
ejpam-6075	368	11	4t+ 3	DATE
ejpam-6075	368	12	1	CARDINAL
ejpam-6075	368	13	f. l. alfeche	PERSON
ejpam-6075	368	14	g. a. malacas	PERSON
ejpam-6075	368	15	s. canoy jr.	PERSON
ejpam-6075	369	1	j. pure	PERSON
ejpam-6075	369	2	18	CARDINAL
ejpam-6075	369	3	2	CARDINAL
ejpam-6075	369	4	2025	CARDINAL
ejpam-6075	369	5	6075 8	DATE
ejpam-6075	369	6	14	CARDINAL
ejpam-6075	373	1	1	CARDINAL
ejpam-6075	373	2	2	CARDINAL
ejpam-6075	373	3	4	CARDINAL
ejpam-6075	373	4	2	CARDINAL
ejpam-6075	373	5	6	CARDINAL
ejpam-6075	373	6	n ≥ 4	ORG
ejpam-6075	373	7	1	CARDINAL
ejpam-6075	374	1	4	CARDINAL
ejpam-6075	374	2	1	CARDINAL
ejpam-6075	374	3	2	DATE
ejpam-6075	377	1	2	CARDINAL
ejpam-6075	377	2	|s′|	GPE
ejpam-6075	378	1	∈	ORG
ejpam-6075	378	2	s′	PRODUCT
ejpam-6075	378	3	1	CARDINAL
ejpam-6075	379	1	2	CARDINAL
ejpam-6075	380	1	2	CARDINAL
ejpam-6075	380	2	2	CARDINAL
ejpam-6075	381	1	4t+	CARDINAL
ejpam-6075	381	2	1	CARDINAL
ejpam-6075	382	1	1	CARDINAL
ejpam-6075	382	2	2	DATE
ejpam-6075	386	1	|ephn(v;s)| ≤ 1	PRODUCT
ejpam-6075	386	2	1	CARDINAL
ejpam-6075	387	1	|s′|	ORG
ejpam-6075	388	1	1	CARDINAL
ejpam-6075	388	2	2t+1	DATE
ejpam-6075	389	1	3	CARDINAL
ejpam-6075	390	1	4t+ 2 or 4t+ 3	DATE
ejpam-6075	391	1	1	CARDINAL
ejpam-6075	391	2	2	DATE
ejpam-6075	393	1	t + 1	DATE
ejpam-6075	394	1	∪t+1	CARDINAL
ejpam-6075	394	2	j=1sj	NORP
ejpam-6075	394	3	2(t+ 1	DATE
ejpam-6075	394	4	2	CARDINAL
ejpam-6075	396	1	2	CARDINAL
ejpam-6075	397	1	n ≥ 3	DATE
ejpam-6075	398	1	3	CARDINAL
ejpam-6075	398	2	3	CARDINAL
ejpam-6075	398	3	5	CARDINAL
ejpam-6075	398	4	2	CARDINAL
ejpam-6075	398	5	4	CARDINAL
ejpam-6075	398	6	1	CARDINAL
ejpam-6075	398	7	4t+ 1	DATE
ejpam-6075	398	8	2	CARDINAL
ejpam-6075	398	9	4t+ 2	DATE
ejpam-6075	398	10	4t+ 3	DATE
ejpam-6075	398	11	1	CARDINAL
ejpam-6075	403	1	3	CARDINAL
ejpam-6075	404	1	3	CARDINAL
ejpam-6075	405	1	c5	GPE
ejpam-6075	406	1	3	CARDINAL
ejpam-6075	406	2	3	CARDINAL
ejpam-6075	406	3	5	CARDINAL
ejpam-6075	407	1	1	CARDINAL
ejpam-6075	408	1	4	CARDINAL
ejpam-6075	408	2	4t+ 1	DATE
ejpam-6075	409	1	1	CARDINAL
ejpam-6075	409	2	2	DATE
ejpam-6075	413	1	2	CARDINAL
ejpam-6075	413	2	t. f. l. alfeche	PERSON
ejpam-6075	413	3	g. a. malacas	PERSON
ejpam-6075	413	4	s. canoy jr.	PERSON
ejpam-6075	414	1	j. pure	PERSON
ejpam-6075	414	2	18	CARDINAL
ejpam-6075	414	3	2	CARDINAL
ejpam-6075	414	4	2025	CARDINAL
ejpam-6075	414	5	6075 9	DATE
ejpam-6075	414	6	14	CARDINAL
ejpam-6075	414	7	2	CARDINAL
ejpam-6075	415	1	4t+ 3	DATE
ejpam-6075	415	2	j = 1	PERSON
ejpam-6075	415	3	2	DATE
ejpam-6075	418	1	1	CARDINAL
ejpam-6075	420	1	3	CARDINAL
ejpam-6075	421	1	3 + 2(t− 1	CARDINAL
ejpam-6075	421	2	2t+ 1	DATE
ejpam-6075	423	1	g1	ORG
ejpam-6075	423	2	sg1 ⊆	PRODUCT
ejpam-6075	423	3	g1	ORG
ejpam-6075	423	4	sg2 ⊆	ORG
ejpam-6075	423	5	a′ ∈	PERSON
ejpam-6075	423	6	∈	ORG
ejpam-6075	423	7	g1	ORG
ejpam-6075	424	1	hassan et al	PERSON
ejpam-6075	425	1	26	CARDINAL
ejpam-6075	428	1	g1	ORG
ejpam-6075	430	1	sg1 ∪ sg2	DATE
ejpam-6075	430	2	sg1	CARDINAL
ejpam-6075	430	3	g1	ORG
ejpam-6075	431	1	8	CARDINAL
ejpam-6075	433	1	⊆	CARDINAL
ejpam-6075	434	1	g1	ORG
ejpam-6075	436	1	sg1 ∪ sg2	DATE
ejpam-6075	436	2	sg1	CARDINAL
ejpam-6075	436	3	g1	ORG
ejpam-6075	439	1	sg1	DATE
ejpam-6075	439	2	g1	ORG
ejpam-6075	440	1	sg2 = ∅	ORG
ejpam-6075	440	2	g1	ORG
ejpam-6075	440	3	7(i	CARDINAL
ejpam-6075	441	1	g1	ORG
ejpam-6075	442	1	w ∈ s	PERSON
ejpam-6075	442	2	d2(g)(x	PERSON
ejpam-6075	443	1	sg2 = ∅	ORG
ejpam-6075	443	2	w ∈ sg1	PERSON
ejpam-6075	444	1	g1	ORG
ejpam-6075	444	2	7(i	CARDINAL
ejpam-6075	445	1	g1	ORG
ejpam-6075	446	1	sg1	CARDINAL
ejpam-6075	446	2	sg1 ̸=	ORG
ejpam-6075	446	3	sg2 ̸=	ORG
ejpam-6075	446	4	g1	ORG
ejpam-6075	447	1	g1	ORG
ejpam-6075	454	1	sg1	CARDINAL
ejpam-6075	454	2	f. l. alfeche	PERSON
ejpam-6075	454	3	g. a. malacas	PERSON
ejpam-6075	454	4	s. canoy jr.	PERSON
ejpam-6075	455	1	j. pure	PERSON
ejpam-6075	455	2	18	CARDINAL
ejpam-6075	455	3	2	CARDINAL
ejpam-6075	455	4	2025	CARDINAL
ejpam-6075	455	5	6075 10	DATE
ejpam-6075	455	6	g1	ORG
ejpam-6075	455	7	7(iii	DATE
ejpam-6075	457	1	t′	CARDINAL
ejpam-6075	458	1	∈	ORG
ejpam-6075	459	1	t′	CARDINAL
ejpam-6075	462	1	sg1	CARDINAL
ejpam-6075	462	2	g1	ORG
ejpam-6075	463	1	g1	ORG
ejpam-6075	465	1	one	CARDINAL
ejpam-6075	467	1	7(i	CARDINAL
ejpam-6075	469	1	s.	PERSON
ejpam-6075	469	2	∈	ORG
ejpam-6075	469	3	g1	ORG
ejpam-6075	470	1	g1	ORG
ejpam-6075	470	2	∈	PRODUCT
ejpam-6075	470	3	g1	ORG
ejpam-6075	473	1	∈	ORG
ejpam-6075	473	2	dd2(g)(t	GPE
ejpam-6075	474	1	2	CARDINAL
ejpam-6075	475	1	∈	ORG
ejpam-6075	477	1	2	CARDINAL
ejpam-6075	478	1	⊆	CARDINAL
ejpam-6075	479	1	t′	CARDINAL
ejpam-6075	481	1	t /∈ s.	ORG
ejpam-6075	482	1	g1	ORG
ejpam-6075	482	2	g1	ORG
ejpam-6075	483	1	st	GPE
ejpam-6075	484	1	t′	CARDINAL
ejpam-6075	485	1	first	ORDINAL
ejpam-6075	485	2	g1	ORG
ejpam-6075	486	1	∈	PRODUCT
ejpam-6075	488	1	st	GPE
ejpam-6075	488	2	∈	ORG
ejpam-6075	489	1	∈	ORG
ejpam-6075	489	2	d2(g)(p	ORG
ejpam-6075	490	1	b′ ∈	PERSON
ejpam-6075	491	1	d2(g)(p	ORG
ejpam-6075	492	1	st′	GPE
ejpam-6075	496	1	sg1 ∪ sg2	DATE
ejpam-6075	499	1	g1	ORG
ejpam-6075	500	1	x′ ∈ sg2	ORG
ejpam-6075	500	2	x′	CARDINAL
ejpam-6075	500	3	d2(g)(x	PERSON
ejpam-6075	500	4	x′	DATE
ejpam-6075	501	1	x′	DATE
ejpam-6075	504	1	g1	ORG
ejpam-6075	505	1	sg1	CARDINAL
ejpam-6075	506	1	sg1	DATE
ejpam-6075	506	2	g1	ORG
ejpam-6075	506	3	y ∈	PERSON
ejpam-6075	506	4	sg1	CARDINAL
ejpam-6075	506	5	g1	ORG
ejpam-6075	506	6	sg1	CARDINAL
ejpam-6075	507	1	g1	ORG
ejpam-6075	508	1	sg2	ORG
ejpam-6075	508	2	g1	ORG
ejpam-6075	510	1	sg2	ORG
ejpam-6075	512	1	8	CARDINAL
ejpam-6075	512	2	3	CARDINAL
ejpam-6075	518	1	8	CARDINAL
ejpam-6075	522	1	g1	ORG
ejpam-6075	522	2	8	CARDINAL
ejpam-6075	524	1	sg1 ∪ sg2	DATE
ejpam-6075	524	2	sg1	CARDINAL
ejpam-6075	524	3	f. l. alfeche	PERSON
ejpam-6075	524	4	g. a. malacas	PERSON
ejpam-6075	524	5	s. canoy jr.	PERSON
ejpam-6075	525	1	j. pure	PERSON
ejpam-6075	525	2	18	CARDINAL
ejpam-6075	525	3	2	CARDINAL
ejpam-6075	525	4	2025	CARDINAL
ejpam-6075	525	5	6075 11	DATE
ejpam-6075	525	6	14	CARDINAL
ejpam-6075	526	1	|s′|	PERSON
ejpam-6075	528	1	3	CARDINAL
ejpam-6075	531	1	xy ∈	PERSON
ejpam-6075	532	1	yy ∈	ORG
ejpam-6075	533	1	xy /∈ e(g	PERSON
ejpam-6075	537	1	9	CARDINAL
ejpam-6075	539	1	2 ≤	QUANTITY
ejpam-6075	541	1	2	CARDINAL
ejpam-6075	542	1	3	CARDINAL
ejpam-6075	542	2	one	CARDINAL
ejpam-6075	542	3	2	CARDINAL
ejpam-6075	542	4	2	CARDINAL
ejpam-6075	542	5	3	CARDINAL
ejpam-6075	543	1	∈	ORG
ejpam-6075	543	2	3	CARDINAL
ejpam-6075	543	3	z,∈	ORG
ejpam-6075	543	4	2	CARDINAL
ejpam-6075	544	1	w ∈	PERSON
ejpam-6075	545	1	2	CARDINAL
ejpam-6075	545	2	w ∈	PERSON
ejpam-6075	547	1	4	CARDINAL
ejpam-6075	549	1	2 ≤	QUANTITY
ejpam-6075	550	1	w	GPE
ejpam-6075	550	2	2 ≤	QUANTITY
ejpam-6075	551	1	2	CARDINAL
ejpam-6075	552	1	supposeg	GPE
ejpam-6075	553	1	(g)| ≥ 3	DATE
ejpam-6075	553	2	∈	ORG
ejpam-6075	556	1	3	CARDINAL
ejpam-6075	557	1	∈	ORG
ejpam-6075	558	1	∈	ORG
ejpam-6075	559	1	lemma 3	ORG
ejpam-6075	562	1	3	CARDINAL
ejpam-6075	563	1	w ∈	PERSON
ejpam-6075	563	2	f. l. alfeche	PERSON
ejpam-6075	563	3	g. a. malacas	PERSON
ejpam-6075	563	4	s. canoy jr.	PERSON
ejpam-6075	564	1	j. pure	PERSON
ejpam-6075	564	2	18	CARDINAL
ejpam-6075	564	3	2	CARDINAL
ejpam-6075	564	4	2025	CARDINAL
ejpam-6075	564	5	6075 12	DATE
ejpam-6075	564	6	14	DATE
ejpam-6075	571	1	first	ORDINAL
ejpam-6075	573	1	2	CARDINAL
ejpam-6075	575	1	1	CARDINAL
ejpam-6075	575	2	2	CARDINAL
ejpam-6075	576	1	3	CARDINAL
ejpam-6075	577	1	2	CARDINAL
ejpam-6075	577	2	2	CARDINAL
ejpam-6075	578	1	2	CARDINAL
ejpam-6075	579	1	2	CARDINAL
ejpam-6075	580	1	⊆	CARDINAL
ejpam-6075	581	1	ephn(v;s	CARDINAL
ejpam-6075	581	2	∈	ORG
ejpam-6075	581	3	d.	NORP
ejpam-6075	582	1	w ∈	PERSON
ejpam-6075	584	1	∈	ORG
ejpam-6075	585	1	0	CARDINAL
ejpam-6075	588	1	2	CARDINAL
ejpam-6075	589	1	∈	ORG
ejpam-6075	590	1	∈	ORG
ejpam-6075	593	1	w ∈	PERSON
ejpam-6075	594	1	y})∪	PERSON
ejpam-6075	595	1	dv	ORG
ejpam-6075	595	2	w ∈ n2 g(v	PERSON
ejpam-6075	596	1	2	CARDINAL
ejpam-6075	596	2	w ∈	PERSON
ejpam-6075	601	1	3	CARDINAL
ejpam-6075	604	1	∈	ORG
ejpam-6075	609	1	s ∈ n2 gg	PRODUCT
ejpam-6075	611	1	3	CARDINAL
ejpam-6075	612	1	3	CARDINAL
ejpam-6075	614	1	0	CARDINAL
ejpam-6075	615	1	3	CARDINAL
ejpam-6075	615	2	z,∈	ORG
ejpam-6075	615	3	2	CARDINAL
ejpam-6075	615	4	w ∈	PERSON
ejpam-6075	617	1	r.	NORP
ejpam-6075	617	2	k ̸=	ORG
ejpam-6075	617	3	∈	ORG
ejpam-6075	618	1	∈ n2 g(x	PERSON
ejpam-6075	619	1	2	CARDINAL
ejpam-6075	619	2	w ∈	PERSON
ejpam-6075	621	1	3	CARDINAL
ejpam-6075	623	1	f. l. alfeche	PERSON
ejpam-6075	623	2	g. a. malacas	PERSON
ejpam-6075	623	3	s. canoy jr.	PERSON
ejpam-6075	624	1	j. pure	PERSON
ejpam-6075	624	2	18	CARDINAL
ejpam-6075	624	3	2	CARDINAL
ejpam-6075	624	4	2025	CARDINAL
ejpam-6075	624	5	6075 13	DATE
ejpam-6075	624	6	14	CARDINAL
ejpam-6075	624	7	9	CARDINAL
ejpam-6075	625	1	n ≥ 2.	ORG
ejpam-6075	628	1	2	CARDINAL
ejpam-6075	628	2	2 3	DATE
ejpam-6075	628	3	3 4	DATE
ejpam-6075	637	1	msu-iligan institute of technology	ORG
ejpam-6075	637	2	iligan city	GPE
ejpam-6075	638	1	1	CARDINAL
ejpam-6075	638	2	e. cockayne	PERSON
ejpam-6075	638	3	o. favaron	PERSON
ejpam-6075	638	4	mynhardt	GPE
ejpam-6075	640	1	bull	PERSON
ejpam-6075	641	1	combin	PERSON
ejpam-6075	642	1	39:87–100, 2003	DATE
ejpam-6075	643	1	2	CARDINAL
ejpam-6075	643	2	t. araki	PERSON
ejpam-6075	643	3	r. yamanaka	PERSON
ejpam-6075	645	1	262:179–184	CARDINAL
ejpam-6075	645	2	2019	DATE
ejpam-6075	646	1	3	CARDINAL
ejpam-6075	646	2	s. benecke	PERSON
ejpam-6075	646	3	e. cockayne	PERSON
ejpam-6075	646	4	c. mynhardt	PERSON
ejpam-6075	649	1	74:247–259, 2007	DATE
ejpam-6075	650	1	4	CARDINAL
ejpam-6075	650	2	a. cabaro	PERSON
ejpam-6075	650	3	s. canoy jr	PERSON
ejpam-6075	650	4	i. aniversario	PERSON
ejpam-6075	652	1	8(42):2065–2074	ORG
ejpam-6075	652	2	2014	DATE
ejpam-6075	653	1	5	CARDINAL
ejpam-6075	653	2	e. castillano	PERSON
ejpam-6075	653	3	r.a.	ORG
ejpam-6075	653	4	ugbinada	GPE
ejpam-6075	653	5	s. canoy jr.	PERSON
ejpam-6075	654	1	8(105):5203–5211, 2014	DATE
ejpam-6075	655	1	6	CARDINAL
ejpam-6075	655	2	e. cockayne	PERSON
ejpam-6075	656	1	irredundance	ORG
ejpam-6075	658	1	307:12–17,	DATE
ejpam-6075	658	2	2007	DATE
ejpam-6075	659	1	f. l. alfeche	PERSON
ejpam-6075	659	2	g. a. malacas	PERSON
ejpam-6075	659	3	s. canoy jr.	PERSON
ejpam-6075	660	1	j. pure	PERSON
ejpam-6075	660	2	18	CARDINAL
ejpam-6075	660	3	2	CARDINAL
ejpam-6075	660	4	2025	CARDINAL
ejpam-6075	660	5	6075 14	DATE
ejpam-6075	660	6	7	CARDINAL
ejpam-6075	660	7	e. cockayne	PERSON
ejpam-6075	660	8	w. grundlingh	PERSON
ejpam-6075	660	9	j. munganga	PERSON
ejpam-6075	660	10	j. van vuuren	PERSON
ejpam-6075	662	1	2005	DATE
ejpam-6075	663	1	8	CARDINAL
ejpam-6075	663	2	e. enriquez	PERSON
ejpam-6075	663	3	s. canoy jr.	PERSON
ejpam-6075	664	1	9(7):317–325	CARDINAL
ejpam-6075	664	2	2015	DATE
ejpam-6075	665	1	9	CARDINAL
ejpam-6075	665	2	s. canoy jr, s.a. canoy	PERSON
ejpam-6075	665	3	m. cruzate	PERSON
ejpam-6075	667	1	20(1	CARDINAL
ejpam-6075	667	2	2019	DATE
ejpam-6075	668	1	10	CARDINAL
ejpam-6075	668	2	william f. klostermeyer	PERSON
ejpam-6075	668	3	c. mynhardt	PERSON
ejpam-6075	670	1	28:267–284, 2008	DATE
ejpam-6075	671	1	11	CARDINAL
ejpam-6075	671	2	c. natarajan	PERSON
ejpam-6075	671	3	s. ayyaswamy	ORG
ejpam-6075	672	1	versita	PERSON
ejpam-6075	672	2	23(2):187	CARDINAL
ejpam-6075	672	3	199	CARDINAL
ejpam-6075	672	4	2015	DATE
ejpam-6075	673	1	12	CARDINAL
ejpam-6075	673	2	b. krishnakumari	PERSON
ejpam-6075	673	3	b. natarjan	PERSON
ejpam-6075	675	1	2015	DATE
ejpam-6075	676	1	13	CARDINAL
ejpam-6075	676	2	c. natarajan	PERSON
ejpam-6075	676	3	g. sathiamoorphy	PERSON
ejpam-6075	678	1	2018	DATE
ejpam-6075	679	1	14	CARDINAL
ejpam-6075	679	2	j. hassan	PERSON
ejpam-6075	679	3	s. canoy jr.	PERSON
ejpam-6075	681	1	j. pure	PERSON
ejpam-6075	681	2	15(4):1783–1796	CARDINAL
ejpam-6075	681	3	2022	CARDINAL
ejpam-6075	682	1	15	CARDINAL
ejpam-6075	682	2	j. hassan	PERSON
ejpam-6075	682	3	s. canoy jr.	PERSON
ejpam-6075	682	4	a. aradais	PERSON
ejpam-6075	685	1	j. pure	PERSON
ejpam-6075	685	2	15(2):467–477	DATE
ejpam-6075	685	3	2022	CARDINAL
ejpam-6075	686	1	16	CARDINAL
ejpam-6075	686	2	m. henning	PERSON
ejpam-6075	686	3	n. rad	PERSON
ejpam-6075	687	1	2	CARDINAL
ejpam-6075	688	1	33(4):913–927	DATE
ejpam-6075	688	2	2017	DATE
ejpam-6075	689	1	17	CARDINAL
ejpam-6075	689	2	s. canoy jr	PERSON
ejpam-6075	689	3	j. hassan	PERSON
ejpam-6075	691	1	european journal	ORG
ejpam-6075	691	2	2023	CARDINAL
ejpam-6075	692	1	18	CARDINAL
ejpam-6075	692	2	s. canoy jr.	PERSON
ejpam-6075	692	3	r. mollejon	PERSON
ejpam-6075	692	4	j. g. canoy	PERSON
ejpam-6075	695	1	j. pure	PERSON
ejpam-6075	696	1	12(4):1455–1463,	DATE
ejpam-6075	696	2	2019	DATE
ejpam-6075	697	1	19	CARDINAL
ejpam-6075	697	2	s. canoy jr.	PERSON
ejpam-6075	697	3	g. salasalan	PERSON
ejpam-6075	700	1	j. pure	PERSON
ejpam-6075	700	2	14:1415–1428	CARDINAL
ejpam-6075	700	3	2021	DATE
ejpam-6075	701	1	20	CARDINAL
ejpam-6075	701	2	s. canoy jr.	PERSON
ejpam-6075	701	3	g. salasalan	PERSON
ejpam-6075	703	1	kyungpook mathematical journal.	ORG
ejpam-6075	703	2	62:193–204	CARDINAL
ejpam-6075	703	3	2022	CARDINAL
ejpam-6075	704	1	21	CARDINAL
ejpam-6075	704	2	h. rara	PERSON
ejpam-6075	706	1	asian	NORP
ejpam-6075	707	1	j. math	PERSON
ejpam-6075	707	2	11(5):1850075–1–1850075–11, 2018	DATE
ejpam-6075	708	1	22	CARDINAL
ejpam-6075	708	2	r. rakim	PERSON
ejpam-6075	708	3	h. rara	PERSON
ejpam-6075	708	4	c.j.	ORG
ejpam-6075	710	1	12(13):635–649, 2018	DATE
ejpam-6075	711	1	23	CARDINAL
ejpam-6075	711	2	g. salasalan	PERSON
ejpam-6075	711	3	s. canoy jr.	PERSON
ejpam-6075	713	1	j. pure	PERSON
ejpam-6075	713	2	14(1):112–125	DATE
ejpam-6075	713	3	2021	DATE
ejpam-6075	714	1	24	CARDINAL
ejpam-6075	714	2	f. buckey	PERSON
ejpam-6075	714	3	f. harary	PERSON
ejpam-6075	716	1	addison-wesley	ORG
ejpam-6075	716	2	redwood city	GPE
ejpam-6075	716	3	california	GPE
ejpam-6075	716	4	1990	DATE
ejpam-6075	717	1	25	CARDINAL
ejpam-6075	717	2	f. harary	PERSON
ejpam-6075	719	1	addison-wesley	PERSON
ejpam-6075	719	2	singapore	GPE
ejpam-6075	719	3	1989	DATE
ejpam-6075	720	1	26	CARDINAL
ejpam-6075	720	2	s. canoy jr.	PERSON
ejpam-6075	720	3	j. hassan	PERSON
ejpam-6075	720	4	c.j.	GPE
ejpam-6075	723	1	j. pure	PERSON
ejpam-6075	723	2	16(1):319–335	DATE
ejpam-6075	723	3	2023	CARDINAL