id	sid	eid	entity	type
ejpam-5241	1	1	european journal	ORG
ejpam-5241	2	1	17	CARDINAL
ejpam-5241	2	2	3	CARDINAL
ejpam-5241	2	3	2024	DATE
ejpam-5241	2	4	1618-1636	CARDINAL
ejpam-5241	2	5	1307-5543	DATE
ejpam-5241	3	1	new york	GPE
ejpam-5241	3	2	niña jeane a. adolfo1,2,∗	ORG
ejpam-5241	3	3	imelda s. aniversario1,2	PERSON
ejpam-5241	5	1	jamil1,2 1	DATE
ejpam-5241	5	2	2	CARDINAL
ejpam-5241	5	3	institute of science	ORG
ejpam-5241	5	4	msu-iligan institute of technology	ORG
ejpam-5241	5	5	9200	CARDINAL
ejpam-5241	5	6	iligan city	GPE
ejpam-5241	5	7	philippines	GPE
ejpam-5241	7	1	⊆	CARDINAL
ejpam-5241	7	2	two	CARDINAL
ejpam-5241	8	1	v2 ̸=	FAC
ejpam-5241	9	1	3	CARDINAL
ejpam-5241	10	1	\s	ORG
ejpam-5241	10	2	2	CARDINAL
ejpam-5241	10	3	s.	GPE
ejpam-5241	11	1	first	ORDINAL
ejpam-5241	11	2	2	CARDINAL
ejpam-5241	12	1	2 ≤	MONEY
ejpam-5241	13	1	4 ≤ m ≤ k	QUANTITY
ejpam-5241	13	2	2k−m+2 ≤ n	QUANTITY
ejpam-5241	15	1	2020	DATE
ejpam-5241	15	2	05c69	CARDINAL
ejpam-5241	16	1	imelda.aniversario@g.msuiit.edu.ph	GPE
ejpam-5241	16	2	i. aniversario	PERSON
ejpam-5241	16	3	ferdinand.jamil@g.msuiit.edu.ph	ORG
ejpam-5241	16	4	f. jamil	PERSON
ejpam-5241	16	5	1618	DATE
ejpam-5241	17	1	2024	CARDINAL
ejpam-5241	18	1	a. adolfo	PERSON
ejpam-5241	18	2	i. aniversario	PERSON
ejpam-5241	18	3	f. jamil	PERSON
ejpam-5241	19	1	j. pure	PERSON
ejpam-5241	19	2	17	CARDINAL
ejpam-5241	19	3	3	CARDINAL
ejpam-5241	19	4	2024	CARDINAL
ejpam-5241	19	5	1618-1636	CARDINAL
ejpam-5241	20	1	f. harary	PERSON
ejpam-5241	20	2	9	CARDINAL
ejpam-5241	20	3	two	CARDINAL
ejpam-5241	21	1	1	CARDINAL
ejpam-5241	21	2	2	DATE
ejpam-5241	21	3	6	DATE
ejpam-5241	22	1	14	CARDINAL
ejpam-5241	22	2	s.k.	GPE
ejpam-5241	22	3	ayyaswamy	ORG
ejpam-5241	23	1	second	ORDINAL
ejpam-5241	24	1	4	CARDINAL
ejpam-5241	24	2	5	DATE
ejpam-5241	27	1	6	CARDINAL
ejpam-5241	28	1	⊆	CARDINAL
ejpam-5241	28	2	two	CARDINAL
ejpam-5241	29	1	g and h	ORG
ejpam-5241	29	2	g+h	ORG
ejpam-5241	30	1	∈	ORG
ejpam-5241	31	1	one	CARDINAL
ejpam-5241	31	2	g ⋄ h of g and h	ORG
ejpam-5241	31	3	one	CARDINAL
ejpam-5241	32	1	two	CARDINAL
ejpam-5241	32	2	ig[u	ORG
ejpam-5241	33	1	1	CARDINAL
ejpam-5241	35	1	w	GPE
ejpam-5241	36	1	ext(g	ORG
ejpam-5241	37	1	∈	ORG
ejpam-5241	39	1	⊆	CARDINAL
ejpam-5241	39	2	2	CARDINAL
ejpam-5241	39	3	p2[s]g	ORG
ejpam-5241	39	4	p2[s]g	ORG
ejpam-5241	40	1	∈	ORG
ejpam-5241	40	2	w ∈	PERSON
ejpam-5241	40	3	ig[u	ORG
ejpam-5241	40	4	∈	ORG
ejpam-5241	40	5	2	CARDINAL
ejpam-5241	41	1	2	CARDINAL
ejpam-5241	43	1	ρ2(g	DATE
ejpam-5241	43	2	2	CARDINAL
ejpam-5241	43	3	a. adolfo	PERSON
ejpam-5241	43	4	i. aniversario	PERSON
ejpam-5241	43	5	f. jamil	PERSON
ejpam-5241	44	1	j. pure	PERSON
ejpam-5241	44	2	17	CARDINAL
ejpam-5241	44	3	3	CARDINAL
ejpam-5241	44	4	2024	CARDINAL
ejpam-5241	44	5	1618-1636 1620	CARDINAL
ejpam-5241	44	6	⊆	CARDINAL
ejpam-5241	45	1	∈	PERSON
ejpam-5241	46	1	⊆	CARDINAL
ejpam-5241	46	2	2	CARDINAL
ejpam-5241	46	3	2	CARDINAL
ejpam-5241	47	1	2	CARDINAL
ejpam-5241	47	2	ρ2pnd(g	ORG
ejpam-5241	48	1	⊆	CARDINAL
ejpam-5241	48	2	⋃	DATE
ejpam-5241	48	3	ig[u	ORG
ejpam-5241	50	1	cardinality gn(g	ORG
ejpam-5241	51	1	6–10	CARDINAL
ejpam-5241	53	1	v2 ∈	PERSON
ejpam-5241	54	1	i ≥ 3	DATE
ejpam-5241	54	2	vi ∈	PERSON
ejpam-5241	56	1	vi}	PERSON
ejpam-5241	56	2	integer k	PERSON
ejpam-5241	56	3	integer k	PERSON
ejpam-5241	58	1	2	CARDINAL
ejpam-5241	59	1	n2 g(u	PRODUCT
ejpam-5241	59	2	∈	ORG
ejpam-5241	59	3	2	CARDINAL
ejpam-5241	60	1	⊆	CARDINAL
ejpam-5241	60	2	n2 g(x	PRODUCT
ejpam-5241	61	1	⋃	PERSON
ejpam-5241	61	2	n2 g(u	PRODUCT
ejpam-5241	63	1	⊆	CARDINAL
ejpam-5241	64	1	∈	PERSON
ejpam-5241	64	2	2	CARDINAL
ejpam-5241	65	1	⊆	CARDINAL
ejpam-5241	67	1	anusha et al.	PERSON
ejpam-5241	68	1	3	CARDINAL
ejpam-5241	70	1	18	CARDINAL
ejpam-5241	70	2	19	CARDINAL
ejpam-5241	71	1	19	CARDINAL
ejpam-5241	72	1	1	CARDINAL
ejpam-5241	73	1	19	CARDINAL
ejpam-5241	74	1	a. adolfo	PERSON
ejpam-5241	74	2	i. aniversario	PERSON
ejpam-5241	74	3	f. jamil	PERSON
ejpam-5241	75	1	j. pure	PERSON
ejpam-5241	75	2	17	CARDINAL
ejpam-5241	75	3	3	CARDINAL
ejpam-5241	75	4	2024	CARDINAL
ejpam-5241	75	5	1618-1636 1621	CARDINAL
ejpam-5241	76	1	1	CARDINAL
ejpam-5241	76	2	2	DATE
ejpam-5241	77	1	3	CARDINAL
ejpam-5241	78	1	3	CARDINAL
ejpam-5241	78	2	1(mod 3	CARDINAL
ejpam-5241	78	3	3	CARDINAL
ejpam-5241	78	4	3	CARDINAL
ejpam-5241	78	5	3	CARDINAL
ejpam-5241	78	6	4	DATE
ejpam-5241	78	7	5	DATE
ejpam-5241	78	8	3	CARDINAL
ejpam-5241	79	1	3	CARDINAL
ejpam-5241	79	2	1(mod 3	CARDINAL
ejpam-5241	79	3	3	CARDINAL
ejpam-5241	80	1	2	CARDINAL
ejpam-5241	81	1	2.1	CARDINAL
ejpam-5241	89	1	2	CARDINAL
ejpam-5241	93	1	1	CARDINAL
ejpam-5241	97	1	2	CARDINAL
ejpam-5241	98	1	g1	ORG
ejpam-5241	98	2	g1	ORG
ejpam-5241	98	3	a. adolfo	PERSON
ejpam-5241	98	4	i. aniversario	PERSON
ejpam-5241	98	5	f. jamil	PERSON
ejpam-5241	99	1	j. pure	PERSON
ejpam-5241	99	2	17	CARDINAL
ejpam-5241	99	3	3	CARDINAL
ejpam-5241	99	4	2024	CARDINAL
ejpam-5241	99	5	1618-1636 1622	CARDINAL
ejpam-5241	101	1	1	CARDINAL
ejpam-5241	101	2	∈	ORG
ejpam-5241	103	1	sn	ORG
ejpam-5241	107	1	sn ̸= ∅	ORG
ejpam-5241	107	2	∈	ORG
ejpam-5241	107	3	sn	ORG
ejpam-5241	108	1	g1	ORG
ejpam-5241	108	2	sr	ORG
ejpam-5241	109	1	dg(a	GPE
ejpam-5241	109	2	2	CARDINAL
ejpam-5241	109	3	sn	ORG
ejpam-5241	109	4	sn	ORG
ejpam-5241	109	5	∗	CARDINAL
ejpam-5241	110	1	2 ≤	MONEY
ejpam-5241	111	1	∗ h	ORG
ejpam-5241	112	1	2	CARDINAL
ejpam-5241	113	1	∗ h .	ORG
ejpam-5241	114	1	2	CARDINAL
ejpam-5241	115	1	3	CARDINAL
ejpam-5241	117	1	2	CARDINAL
ejpam-5241	121	1	w ∈	PERSON
ejpam-5241	122	1	x3	GPE
ejpam-5241	124	1	xk = v	PERSON
ejpam-5241	126	1	2	CARDINAL
ejpam-5241	126	2	k = 4	PERSON
ejpam-5241	126	3	3	CARDINAL
ejpam-5241	127	1	2	CARDINAL
ejpam-5241	128	1	3	CARDINAL
ejpam-5241	132	1	2	CARDINAL
ejpam-5241	133	1	2	CARDINAL
ejpam-5241	133	2	2	CARDINAL
ejpam-5241	133	3	1	CARDINAL
ejpam-5241	134	1	1	CARDINAL
ejpam-5241	135	1	∗	CARDINAL
ejpam-5241	138	1	1	CARDINAL
ejpam-5241	138	2	2	DATE
ejpam-5241	139	1	n ≥ 3	DATE
ejpam-5241	144	1	1	CARDINAL
ejpam-5241	144	2	2	DATE
ejpam-5241	147	1	n ≥ 3	DATE
ejpam-5241	147	2	2	CARDINAL
ejpam-5241	147	3	w	GPE
ejpam-5241	147	4	k ∈	PERSON
ejpam-5241	147	5	1	CARDINAL
ejpam-5241	147	6	2	DATE
ejpam-5241	149	1	u = vi	PERSON
ejpam-5241	149	2	w ∈	ORG
ejpam-5241	149	3	ig[u	ORG
ejpam-5241	150	1	j < k.	PERSON
ejpam-5241	150	2	tl	ORG
ejpam-5241	151	1	1	CARDINAL
ejpam-5241	151	2	2	DATE
ejpam-5241	153	1	• xl	QUANTITY
ejpam-5241	153	2	vl	ORG
ejpam-5241	153	3	1	CARDINAL
ejpam-5241	153	4	2	DATE
ejpam-5241	155	1	j − 1	PERSON
ejpam-5241	155	2	• xl	QUANTITY
ejpam-5241	157	1	a. adolfo	PERSON
ejpam-5241	157	2	i. aniversario	PERSON
ejpam-5241	157	3	f. jamil	PERSON
ejpam-5241	158	1	j. pure	PERSON
ejpam-5241	158	2	17	CARDINAL
ejpam-5241	158	3	3	CARDINAL
ejpam-5241	158	4	2024	CARDINAL
ejpam-5241	158	5	1618-1636 1623	CARDINAL
ejpam-5241	158	6	•	CARDINAL
ejpam-5241	159	1	tl	ORG
ejpam-5241	159	2	1	CARDINAL
ejpam-5241	159	3	2	DATE
ejpam-5241	163	1	2	CARDINAL
ejpam-5241	163	2	•	CARDINAL
ejpam-5241	163	3	•	CARDINAL
ejpam-5241	163	4	k, k + 1	ORG
ejpam-5241	165	1	w	ORG
ejpam-5241	165	2	2	CARDINAL
ejpam-5241	169	1	∗ h	ORG
ejpam-5241	171	1	3	CARDINAL
ejpam-5241	172	1	∗	CARDINAL
ejpam-5241	173	1	nonempty	ORG
ejpam-5241	175	1	g = kn	PERSON
ejpam-5241	177	1	first	ORDINAL
ejpam-5241	178	1	lemma 1	ORG
ejpam-5241	180	1	s⟩.	NORP
ejpam-5241	181	1	∈	ORG
ejpam-5241	182	1	/∈ e(c	EVENT
ejpam-5241	183	1	1	CARDINAL
ejpam-5241	184	1	∈	ORG
ejpam-5241	186	1	⊆	CARDINAL
ejpam-5241	188	1	∈	ORG
ejpam-5241	188	2	∈	ORG
ejpam-5241	189	1	∈	ORG
ejpam-5241	191	1	∈	ORG
ejpam-5241	192	1	⊆	CARDINAL
ejpam-5241	193	1	⊆	CARDINAL
ejpam-5241	194	1	∪c	CARDINAL
ejpam-5241	196	1	k1,n	ORG
ejpam-5241	196	2	3(ii	CARDINAL
ejpam-5241	197	1	a. adolfo	PERSON
ejpam-5241	197	2	i. aniversario	PERSON
ejpam-5241	197	3	f. jamil	PERSON
ejpam-5241	198	1	j. pure	PERSON
ejpam-5241	198	2	17	CARDINAL
ejpam-5241	198	3	3	CARDINAL
ejpam-5241	198	4	2024	CARDINAL
ejpam-5241	198	5	1618-1636 1624 2.2	QUANTITY
ejpam-5241	199	1	3	CARDINAL
ejpam-5241	200	1	1	CARDINAL
ejpam-5241	200	2	2	DATE
ejpam-5241	201	1	3	CARDINAL
ejpam-5241	202	1	3	CARDINAL
ejpam-5241	202	2	1(mod 3	CARDINAL
ejpam-5241	202	3	3	CARDINAL
ejpam-5241	202	4	4	CARDINAL
ejpam-5241	205	1	3	CARDINAL
ejpam-5241	205	2	3	CARDINAL
ejpam-5241	205	3	4	DATE
ejpam-5241	205	4	5	CARDINAL
ejpam-5241	205	5	6	CARDINAL
ejpam-5241	205	6	9	CARDINAL
ejpam-5241	205	7	3	CARDINAL
ejpam-5241	205	8	10	CARDINAL
ejpam-5241	205	9	11	DATE
ejpam-5241	205	10	2	CARDINAL
ejpam-5241	206	1	3 ≤ n ≤ 11	QUANTITY
ejpam-5241	206	2	n ≥ 12	DATE
ejpam-5241	208	1	k =	PERSON
ejpam-5241	208	2	∈	ORG
ejpam-5241	209	1	⌈n2 ⌉ + 1	DATE
ejpam-5241	209	2	n ≥ 12	DATE
ejpam-5241	209	3	6	CARDINAL
ejpam-5241	210	1	at least 2	CARDINAL
ejpam-5241	211	1	at least one	CARDINAL
ejpam-5241	212	1	1	CARDINAL
ejpam-5241	213	1	⌈n2 ⌉+	DATE
ejpam-5241	214	1	1	CARDINAL
ejpam-5241	215	1	1	CARDINAL
ejpam-5241	215	2	1	CARDINAL
ejpam-5241	216	1	k = ⌈n2	PERSON
ejpam-5241	217	1	2	CARDINAL
ejpam-5241	217	2	xj}	PERSON
ejpam-5241	217	3	j =	PERSON
ejpam-5241	217	4	+ 1	DATE
ejpam-5241	219	1	⊆	CARDINAL
ejpam-5241	220	1	2	CARDINAL
ejpam-5241	221	1	∈	ORG
ejpam-5241	222	1	xm	ORG
ejpam-5241	222	2	dcn(v	ORG
ejpam-5241	222	3	vk−1	ORG
ejpam-5241	224	1	xm	ORG
ejpam-5241	225	1	⌈n2 ⌉ + 1	DATE
ejpam-5241	226	1	1	CARDINAL
ejpam-5241	226	2	2	DATE
ejpam-5241	228	1	vk−1	ORG
ejpam-5241	228	2	− 1	ORG
ejpam-5241	229	1	∈	ORG
ejpam-5241	230	1	⊆	CARDINAL
ejpam-5241	233	1	a. adolfo	PERSON
ejpam-5241	233	2	i. aniversario	PERSON
ejpam-5241	233	3	f. jamil	PERSON
ejpam-5241	234	1	j. pure	PERSON
ejpam-5241	234	2	17	CARDINAL
ejpam-5241	234	3	3	CARDINAL
ejpam-5241	234	4	2024	CARDINAL
ejpam-5241	234	5	1618-1636 1625	CARDINAL
ejpam-5241	291	1	1	CARDINAL
ejpam-5241	291	2	c13	GPE
ejpam-5241	291	3	first	ORDINAL
ejpam-5241	291	4	4	CARDINAL
ejpam-5241	292	1	2	CARDINAL
ejpam-5241	292	2	2 ≤	QUANTITY
ejpam-5241	293	1	1	CARDINAL
ejpam-5241	293	2	2	DATE
ejpam-5241	294	1	⊆	CARDINAL
ejpam-5241	295	1	k=1;k	PERSON
ejpam-5241	295	2	3	CARDINAL
ejpam-5241	295	3	∈	ORG
ejpam-5241	297	1	n1+p−1	ORG
ejpam-5241	298	1	γhcg(km	ORG
ejpam-5241	298	2	1 +min{m	DATE
ejpam-5241	298	3	2	CARDINAL
ejpam-5241	299	1	⊆	CARDINAL
ejpam-5241	299	2	3	CARDINAL
ejpam-5241	299	3	1	CARDINAL
ejpam-5241	299	4	2	DATE
ejpam-5241	299	5	⊆	CARDINAL
ejpam-5241	299	6	1	CARDINAL
ejpam-5241	300	1	2.3	CARDINAL
ejpam-5241	301	1	4	CARDINAL
ejpam-5241	302	1	2 ≤	QUANTITY
ejpam-5241	305	1	2	CARDINAL
ejpam-5241	307	1	3	CARDINAL
ejpam-5241	307	2	1	CARDINAL
ejpam-5241	308	1	1	CARDINAL
ejpam-5241	308	2	2	DATE
ejpam-5241	310	1	1	CARDINAL
ejpam-5241	312	1	xa−1 y1 y2 y3 y4 y5	PERSON
ejpam-5241	313	1	2	CARDINAL
ejpam-5241	313	2	a. adolfo	PERSON
ejpam-5241	313	3	i. aniversario	PERSON
ejpam-5241	313	4	f. jamil	PERSON
ejpam-5241	314	1	j. pure	PERSON
ejpam-5241	314	2	17	CARDINAL
ejpam-5241	314	3	3	CARDINAL
ejpam-5241	314	4	2024	CARDINAL
ejpam-5241	314	5	1618-1636 1626	CARDINAL
ejpam-5241	314	6	xa−1	PERSON
ejpam-5241	314	7	g. hence cgn(g	ORG
ejpam-5241	315	1	xa−1	PERSON
ejpam-5241	315	2	1 +	QUANTITY
ejpam-5241	315	3	5	CARDINAL
ejpam-5241	316	1	4 ≤ m ≤ k	QUANTITY
ejpam-5241	318	1	k. proof	PERSON
ejpam-5241	321	1	+ 3	DATE
ejpam-5241	327	1	s.	PERSON
ejpam-5241	327	2	3	CARDINAL
ejpam-5241	328	1	1	CARDINAL
ejpam-5241	328	2	2	DATE
ejpam-5241	331	1	4	CARDINAL
ejpam-5241	331	2	− 4	PERSON
ejpam-5241	331	3	the v1 v2 v3 v4	PRODUCT
ejpam-5241	331	4	ur−1	GPE
ejpam-5241	331	5	w3 wm−4	PERSON
ejpam-5241	331	6	3	CARDINAL
ejpam-5241	331	7	5	CARDINAL
ejpam-5241	333	1	1+m−4+r	CARDINAL
ejpam-5241	334	1	4 + k −m+ 3	DATE
ejpam-5241	334	2	k. 2.4	PERSON
ejpam-5241	335	1	g+h ∈	PRODUCT
ejpam-5241	335	2	∗	CARDINAL
ejpam-5241	335	3	⊆	CARDINAL
ejpam-5241	335	4	2	CARDINAL
ejpam-5241	336	1	3 ≤	QUANTITY
ejpam-5241	337	1	2	CARDINAL
ejpam-5241	337	2	ρc2(g	ORG
ejpam-5241	338	1	2	CARDINAL
ejpam-5241	338	2	ρc2(g	ORG
ejpam-5241	339	1	⊆	CARDINAL
ejpam-5241	339	2	2	CARDINAL
ejpam-5241	339	3	2	CARDINAL
ejpam-5241	339	4	2	CARDINAL
ejpam-5241	339	5	ρc2pnd(g	CARDINAL
ejpam-5241	340	1	2	CARDINAL
ejpam-5241	340	2	ρc2pnd(g	GPE
ejpam-5241	341	1	a. adolfo	PERSON
ejpam-5241	341	2	i. aniversario	PERSON
ejpam-5241	341	3	f. jamil	PERSON
ejpam-5241	342	1	j. pure	PERSON
ejpam-5241	342	2	17	CARDINAL
ejpam-5241	342	3	3	CARDINAL
ejpam-5241	342	4	2024	CARDINAL
ejpam-5241	342	5	1618-1636 1627	DATE
ejpam-5241	342	6	2	CARDINAL
ejpam-5241	342	7	2	CARDINAL
ejpam-5241	342	8	2	CARDINAL
ejpam-5241	342	9	ρc2(g	ORG
ejpam-5241	342	10	ρc2pnd(g)for	ORG
ejpam-5241	343	1	1	CARDINAL
ejpam-5241	344	1	k5,6	ORG
ejpam-5241	344	2	4	CARDINAL
ejpam-5241	344	3	k5,6	ORG
ejpam-5241	345	1	5	CARDINAL
ejpam-5241	345	2	4	CARDINAL
ejpam-5241	346	1	6	CARDINAL
ejpam-5241	346	2	v1 v2 v3 v4 v5 u1 u2	PERSON
ejpam-5241	346	3	u4 u5 u6	PERSON
ejpam-5241	346	4	4	CARDINAL
ejpam-5241	346	5	bipartite	ORG
ejpam-5241	346	6	k5,6	ORG
ejpam-5241	346	7	6	CARDINAL
ejpam-5241	350	1	1	CARDINAL
ejpam-5241	350	2	2	DATE
ejpam-5241	350	3	3	DATE
ejpam-5241	350	4	2	CARDINAL
ejpam-5241	351	1	2	CARDINAL
ejpam-5241	351	2	3	CARDINAL
ejpam-5241	351	3	2	CARDINAL
ejpam-5241	351	4	3	CARDINAL
ejpam-5241	351	5	3	CARDINAL
ejpam-5241	351	6	4	DATE
ejpam-5241	351	7	3	CARDINAL
ejpam-5241	351	8	3,	DATE
ejpam-5241	351	9	1 or n	CARDINAL
ejpam-5241	351	10	1	CARDINAL
ejpam-5241	351	11	2	CARDINAL
ejpam-5241	351	12	2	CARDINAL
ejpam-5241	352	1	11	CARDINAL
ejpam-5241	352	2	⊆	CARDINAL
ejpam-5241	353	1	2	CARDINAL
ejpam-5241	355	1	n ≥ 1	DATE
ejpam-5241	356	1	⊆	CARDINAL
ejpam-5241	356	2	⊆	CARDINAL
ejpam-5241	356	3	2	CARDINAL
ejpam-5241	356	4	g. a. adolfo	PERSON
ejpam-5241	356	5	i. aniversario	PERSON
ejpam-5241	356	6	f. jamil	PERSON
ejpam-5241	357	1	j. pure	PERSON
ejpam-5241	357	2	17	CARDINAL
ejpam-5241	357	3	3	CARDINAL
ejpam-5241	357	4	2024	CARDINAL
ejpam-5241	357	5	1618-1636 1628	QUANTITY
ejpam-5241	358	1	⊆	CARDINAL
ejpam-5241	363	1	⊆	CARDINAL
ejpam-5241	366	1	1	CARDINAL
ejpam-5241	366	2	2	DATE
ejpam-5241	367	1	nj	ORG
ejpam-5241	368	1	first	ORDINAL
ejpam-5241	368	2	aj	PERSON
ejpam-5241	368	3	2	CARDINAL
ejpam-5241	369	1	2	CARDINAL
ejpam-5241	370	1	∈	ORG
ejpam-5241	372	1	3 ≤ l ≤	QUANTITY
ejpam-5241	372	2	aj	PERSON
ejpam-5241	373	1	1	CARDINAL
ejpam-5241	373	2	2	DATE
ejpam-5241	376	1	xa	ORG
ejpam-5241	376	2	xb ∈	PERSON
ejpam-5241	376	3	aj	PERSON
ejpam-5241	376	4	2	CARDINAL
ejpam-5241	377	1	2	CARDINAL
ejpam-5241	377	2	first	ORDINAL
ejpam-5241	380	1	∈	ORG
ejpam-5241	380	2	2	CARDINAL
ejpam-5241	380	3	∈	ORG
ejpam-5241	380	4	2	CARDINAL
ejpam-5241	381	1	second	ORDINAL
ejpam-5241	382	1	⊆	CARDINAL
ejpam-5241	382	2	2	CARDINAL
ejpam-5241	383	1	2	CARDINAL
ejpam-5241	385	1	1	CARDINAL
ejpam-5241	385	2	2	DATE
ejpam-5241	386	1	2 ≤ j ≤ k	QUANTITY
ejpam-5241	387	1	1	CARDINAL
ejpam-5241	387	2	2	DATE
ejpam-5241	392	1	xn+j	PERSON
ejpam-5241	392	2	1	CARDINAL
ejpam-5241	392	3	2	DATE
ejpam-5241	394	1	k.	PERSON
ejpam-5241	394	2	•	CARDINAL
ejpam-5241	395	1	1	CARDINAL
ejpam-5241	395	2	2	DATE
ejpam-5241	397	1	•	CARDINAL
ejpam-5241	398	1	sn	ORG
ejpam-5241	399	1	•	CARDINAL
ejpam-5241	400	1	1	CARDINAL
ejpam-5241	400	2	2	DATE
ejpam-5241	401	1	k	PERSON
ejpam-5241	401	2	•	CARDINAL
ejpam-5241	405	1	⊆	CARDINAL
ejpam-5241	405	2	2	CARDINAL
ejpam-5241	406	1	1	CARDINAL
ejpam-5241	407	1	n ≥ 1	DATE
ejpam-5241	408	1	ρc2pnd(g	CARDINAL
ejpam-5241	410	1	2	CARDINAL
ejpam-5241	410	2	3	CARDINAL
ejpam-5241	410	3	3	CARDINAL
ejpam-5241	410	4	2	CARDINAL
ejpam-5241	410	5	3	CARDINAL
ejpam-5241	410	6	3	CARDINAL
ejpam-5241	410	7	4	DATE
ejpam-5241	410	8	n ≥ 5	DATE
ejpam-5241	410	9	a. adolfo	PERSON
ejpam-5241	410	10	i. aniversario	PERSON
ejpam-5241	410	11	f. jamil	PERSON
ejpam-5241	411	1	j. pure	PERSON
ejpam-5241	411	2	17	CARDINAL
ejpam-5241	411	3	3	CARDINAL
ejpam-5241	411	4	2024	CARDINAL
ejpam-5241	411	5	1618-1636 1629	CARDINAL
ejpam-5241	411	6	8	CARDINAL
ejpam-5241	412	1	18	CARDINAL
ejpam-5241	413	1	⊆	CARDINAL
ejpam-5241	413	2	g+h	ORG
ejpam-5241	413	3	2	CARDINAL
ejpam-5241	413	4	2	CARDINAL
ejpam-5241	413	5	9	CARDINAL
ejpam-5241	413	6	g+h	ORG
ejpam-5241	415	1	9	CARDINAL
ejpam-5241	417	1	2	CARDINAL
ejpam-5241	417	2	2	CARDINAL
ejpam-5241	418	1	sg	GPE
ejpam-5241	419	1	g+h	ORG
ejpam-5241	419	2	integer k	PERSON
ejpam-5241	421	1	xj	PERSON
ejpam-5241	421	2	j = 1	WORK_OF_ART
ejpam-5241	421	3	2	DATE
ejpam-5241	424	1	xj /∈	PERSON
ejpam-5241	426	1	3 ≤ j ≤ k.	QUANTITY
ejpam-5241	428	1	dg(xi,	GPE
ejpam-5241	428	2	xj	ORG
ejpam-5241	428	3	2	CARDINAL
ejpam-5241	428	4	2	CARDINAL
ejpam-5241	428	5	j, l	ORG
ejpam-5241	429	1	xl ∈	ORG
ejpam-5241	429	2	xj	GPE
ejpam-5241	432	1	⊆	CARDINAL
ejpam-5241	433	1	nl	ORG
ejpam-5241	433	2	aj	PERSON
ejpam-5241	434	1	xnj	PERSON
ejpam-5241	434	2	1	CARDINAL
ejpam-5241	434	3	2	DATE
ejpam-5241	436	1	l.	PERSON
ejpam-5241	436	2	7	DATE
ejpam-5241	436	3	xnj /∈	PERSON
ejpam-5241	437	1	3 ≤ j ≤ l	QUANTITY
ejpam-5241	438	1	2	CARDINAL
ejpam-5241	438	2	sg	GPE
ejpam-5241	438	3	2	CARDINAL
ejpam-5241	438	4	lemma 2	ORG
ejpam-5241	440	1	g+h	ORG
ejpam-5241	441	1	2	CARDINAL
ejpam-5241	441	2	= k	PERSON
ejpam-5241	444	1	vi	PERSON
ejpam-5241	444	2	1	CARDINAL
ejpam-5241	444	3	2	DATE
ejpam-5241	445	1	j	PERSON
ejpam-5241	446	1	2 ≤	QUANTITY
ejpam-5241	447	1	1	CARDINAL
ejpam-5241	447	2	2	DATE
ejpam-5241	449	1	k + j	PERSON
ejpam-5241	453	1	xk+i = vi	PERSON
ejpam-5241	453	2	1	CARDINAL
ejpam-5241	453	3	2	DATE
ejpam-5241	455	1	j.	PERSON
ejpam-5241	455	2	g+h	ORG
ejpam-5241	456	1	g+h	ORG
ejpam-5241	457	1	a. adolfo	PERSON
ejpam-5241	457	2	i. aniversario	PERSON
ejpam-5241	457	3	f. jamil	PERSON
ejpam-5241	458	1	j. pure	PERSON
ejpam-5241	458	2	17	CARDINAL
ejpam-5241	458	3	3	CARDINAL
ejpam-5241	458	4	2024	CARDINAL
ejpam-5241	458	5	1618-1636	CARDINAL
ejpam-5241	458	6	1630	CARDINAL
ejpam-5241	458	7	3	CARDINAL
ejpam-5241	459	1	⊆	CARDINAL
ejpam-5241	461	1	∈	ORG
ejpam-5241	462	1	s.	PERSON
ejpam-5241	462	2	∈	ORG
ejpam-5241	462	3	2	CARDINAL
ejpam-5241	464	1	⊆	CARDINAL
ejpam-5241	465	1	⊆	CARDINAL
ejpam-5241	465	2	\s ̸= ∅	ORG
ejpam-5241	465	3	∈	ORG
ejpam-5241	465	4	\s	ORG
ejpam-5241	467	1	xy	ORG
ejpam-5241	468	1	⊆	CARDINAL
ejpam-5241	469	1	3	CARDINAL
ejpam-5241	469	2	10	CARDINAL
ejpam-5241	471	1	sg ⊆	ORG
ejpam-5241	471	2	⊆	CARDINAL
ejpam-5241	471	3	2	CARDINAL
ejpam-5241	471	4	2	CARDINAL
ejpam-5241	471	5	2	CARDINAL
ejpam-5241	473	1	ρc2pnd(h	DATE
ejpam-5241	475	1	4	CARDINAL
ejpam-5241	475	2	3	CARDINAL
ejpam-5241	477	1	5	CARDINAL
ejpam-5241	477	2	3	CARDINAL
ejpam-5241	477	3	2	CARDINAL
ejpam-5241	477	4	2	CARDINAL
ejpam-5241	477	5	3	CARDINAL
ejpam-5241	477	6	1 or n	CARDINAL
ejpam-5241	477	7	2	CARDINAL
ejpam-5241	477	8	2	CARDINAL
ejpam-5241	477	9	1 or n	CARDINAL
ejpam-5241	477	10	2	CARDINAL
ejpam-5241	477	11	4	CARDINAL
ejpam-5241	477	12	5	CARDINAL
ejpam-5241	477	13	4	CARDINAL
ejpam-5241	477	14	2	CARDINAL
ejpam-5241	477	15	2	CARDINAL
ejpam-5241	477	16	4	CARDINAL
ejpam-5241	477	17	1 or n	CARDINAL
ejpam-5241	477	18	1	CARDINAL
ejpam-5241	477	19	2	CARDINAL
ejpam-5241	477	20	1 or n	CARDINAL
ejpam-5241	477	21	1	CARDINAL
ejpam-5241	477	22	2,min{m	CARDINAL
ejpam-5241	477	23	5	CARDINAL
ejpam-5241	477	24	2	CARDINAL
ejpam-5241	478	1	a. adolfo	PERSON
ejpam-5241	478	2	i. aniversario	PERSON
ejpam-5241	478	3	f. jamil	PERSON
ejpam-5241	479	1	j. pure	PERSON
ejpam-5241	479	2	17	CARDINAL
ejpam-5241	479	3	3	CARDINAL
ejpam-5241	479	4	2024	CARDINAL
ejpam-5241	479	5	1618-1636	CARDINAL
ejpam-5241	479	6	2.5	CARDINAL
ejpam-5241	481	1	1	CARDINAL
ejpam-5241	481	2	2	DATE
ejpam-5241	483	1	3 ≤ k ≤ n.	QUANTITY
ejpam-5241	484	1	1	CARDINAL
ejpam-5241	484	2	2	DATE
ejpam-5241	487	1	⊆	CARDINAL
ejpam-5241	490	1	1	CARDINAL
ejpam-5241	490	2	2	DATE
ejpam-5241	495	1	2	CARDINAL
ejpam-5241	495	2	2	CARDINAL
ejpam-5241	496	1	11	CARDINAL
ejpam-5241	497	1	⊆	CARDINAL
ejpam-5241	499	1	∪v∈v (g)sv	ORG
ejpam-5241	499	2	5	CARDINAL
ejpam-5241	499	3	⊆	CARDINAL
ejpam-5241	499	4	sv ⊆	ORG
ejpam-5241	499	5	sv	PERSON
ejpam-5241	499	6	2	CARDINAL
ejpam-5241	501	1	∪v∈v (g)sv	ORG
ejpam-5241	504	1	g ◦ h	ORG
ejpam-5241	504	2	w ∈ s	PERSON
ejpam-5241	504	3	h(u	GPE
ejpam-5241	505	1	2	CARDINAL
ejpam-5241	506	1	w ∈	PERSON
ejpam-5241	506	2	w ∈	ORG
ejpam-5241	507	1	w /∈	NORP
ejpam-5241	508	1	w ∈ sv.	PERSON
ejpam-5241	509	1	h(u	GPE
ejpam-5241	510	1	2	CARDINAL
ejpam-5241	510	2	sv	ORG
ejpam-5241	515	1	xk}	PERSON
ejpam-5241	515	2	3 ≤ k ≤ n	QUANTITY
ejpam-5241	516	1	sn	ORG
ejpam-5241	519	1	xnj	PERSON
ejpam-5241	520	1	nj	ORG
ejpam-5241	523	1	1	CARDINAL
ejpam-5241	523	2	2	DATE
ejpam-5241	525	1	j.	PERSON
ejpam-5241	525	2	xna	ORG
ejpam-5241	525	3	xnc	ORG
ejpam-5241	526	1	xna	ORG
ejpam-5241	526	2	xnc	ORG
ejpam-5241	528	1	3 ≤	QUANTITY
ejpam-5241	529	1	1	CARDINAL
ejpam-5241	529	2	2	DATE
ejpam-5241	530	1	j	PERSON
ejpam-5241	530	2	2	CARDINAL
ejpam-5241	531	1	∈	ORG
ejpam-5241	532	1	sn	ORG
ejpam-5241	532	2	1 ≤	QUANTITY
ejpam-5241	532	3	∈	ORG
ejpam-5241	533	1	yv ∈	PERSON
ejpam-5241	535	1	nj	ORG
ejpam-5241	536	1	2	CARDINAL
ejpam-5241	539	1	1	CARDINAL
ejpam-5241	539	2	2	DATE
ejpam-5241	541	1	j	PERSON
ejpam-5241	541	2	aj	PERSON
ejpam-5241	541	3	3	CARDINAL
ejpam-5241	542	1	j = |a|	PERSON
ejpam-5241	542	2	x2v	PERSON
ejpam-5241	543	1	⊆	CARDINAL
ejpam-5241	543	2	a. adolfo	PERSON
ejpam-5241	543	3	i. aniversario	PERSON
ejpam-5241	543	4	f. jamil	PERSON
ejpam-5241	544	1	j. pure	PERSON
ejpam-5241	544	2	17	CARDINAL
ejpam-5241	544	3	3	CARDINAL
ejpam-5241	544	4	2024	CARDINAL
ejpam-5241	544	5	1618-1636	CARDINAL
ejpam-5241	545	1	1	CARDINAL
ejpam-5241	545	2	2	DATE
ejpam-5241	547	1	kv	ORG
ejpam-5241	547	2	2	CARDINAL
ejpam-5241	547	3	1	CARDINAL
ejpam-5241	547	4	2	DATE
ejpam-5241	551	1	⊆	CARDINAL
ejpam-5241	551	2	•	CARDINAL
ejpam-5241	552	1	xj	GPE
ejpam-5241	552	2	•	CARDINAL
ejpam-5241	552	3	xsv	PERSON
ejpam-5241	553	1	r.	NORP
ejpam-5241	554	1	1	CARDINAL
ejpam-5241	554	2	2	DATE
ejpam-5241	557	1	w ∈	PERSON
ejpam-5241	558	1	w ∈	PERSON
ejpam-5241	562	1	w ∈	ORG
ejpam-5241	563	1	⊆	CARDINAL
ejpam-5241	566	1	w ∈	PERSON
ejpam-5241	567	1	∈	ORG
ejpam-5241	567	2	h(w	PRODUCT
ejpam-5241	567	3	2	CARDINAL
ejpam-5241	567	4	w ∈	PERSON
ejpam-5241	568	1	∈	ORG
ejpam-5241	568	2	h(w	PRODUCT
ejpam-5241	568	3	2	CARDINAL
ejpam-5241	568	4	∩	ORG
ejpam-5241	569	1	y ∈	PERSON
ejpam-5241	569	2	wy /∈ e(hv	ORG
ejpam-5241	570	1	h(w	PRODUCT
ejpam-5241	570	2	2	CARDINAL
ejpam-5241	570	3	3	CARDINAL
ejpam-5241	572	1	ρc2pnd(h	DATE
ejpam-5241	574	1	⊆	CARDINAL
ejpam-5241	574	2	11	DATE
ejpam-5241	574	3	∪v∈v (g)sv	ORG
ejpam-5241	574	4	sv	ORG
ejpam-5241	574	5	2	CARDINAL
ejpam-5241	575	1	∑ v∈v	PERSON
ejpam-5241	576	1	sv ⊆	ORG
ejpam-5241	576	2	2	CARDINAL
ejpam-5241	577	1	11	DATE
ejpam-5241	577	2	ρc2pnd(h	DATE
ejpam-5241	579	1	∈	ORG
ejpam-5241	581	1	12	CARDINAL
ejpam-5241	582	1	n ≥ 1	DATE
ejpam-5241	582	2	⊆	CARDINAL
ejpam-5241	583	1	∪uv∈e(g)v	NORP
ejpam-5241	583	2	6	CARDINAL
ejpam-5241	583	3	⊆	CARDINAL
ejpam-5241	583	4	l(g	PERSON
ejpam-5241	583	5	⊆	CARDINAL
ejpam-5241	583	6	g. a. adolfo	PERSON
ejpam-5241	583	7	i. aniversario	PERSON
ejpam-5241	583	8	f. jamil	PERSON
ejpam-5241	584	1	j. pure	PERSON
ejpam-5241	584	2	17	CARDINAL
ejpam-5241	584	3	3	CARDINAL
ejpam-5241	584	4	2024	CARDINAL
ejpam-5241	584	5	1618-1636 1633	DATE
ejpam-5241	587	1	l(g	PERSON
ejpam-5241	587	2	⊆	CARDINAL
ejpam-5241	587	3	l(g	PERSON
ejpam-5241	587	4	⊆	CARDINAL
ejpam-5241	587	5	∈	ORG
ejpam-5241	589	1	s	GPE
ejpam-5241	590	1	w /∈ a.	PERSON
ejpam-5241	590	2	∈	ORG
ejpam-5241	591	1	2	CARDINAL
ejpam-5241	592	1	∈	ORG
ejpam-5241	592	2	2	CARDINAL
ejpam-5241	593	1	w ∈ τ(g	ORG
ejpam-5241	594	1	∈	ORG
ejpam-5241	595	1	wu ∈	PERSON
ejpam-5241	598	1	⊆	CARDINAL
ejpam-5241	598	2	3	CARDINAL
ejpam-5241	599	1	1	CARDINAL
ejpam-5241	599	2	2	DATE
ejpam-5241	601	1	k	PERSON
ejpam-5241	601	2	aj	PERSON
ejpam-5241	603	1	⊆	CARDINAL
ejpam-5241	604	1	1	CARDINAL
ejpam-5241	604	2	2	DATE
ejpam-5241	607	1	xk	PERSON
ejpam-5241	608	1	⊆	CARDINAL
ejpam-5241	608	2	sn \ ak = ∪uv∈e(g)v	ORG
ejpam-5241	610	1	xk	PERSON
ejpam-5241	611	1	1	CARDINAL
ejpam-5241	611	2	2	DATE
ejpam-5241	613	1	g ⋄ h.	ORG
ejpam-5241	613	2	w /∈ l(g	GPE
ejpam-5241	614	1	∈	ORG
ejpam-5241	614	2	∈	ORG
ejpam-5241	615	1	w ∈	ORG
ejpam-5241	616	1	w	GPE
ejpam-5241	618	1	w ∈	PERSON
ejpam-5241	618	2	w /∈ τ(g	GPE
ejpam-5241	618	3	∈	ORG
ejpam-5241	619	1	∈	ORG
ejpam-5241	620	1	2	CARDINAL
ejpam-5241	622	1	1	CARDINAL
ejpam-5241	624	1	np+	GPE
ejpam-5241	625	1	7	CARDINAL
ejpam-5241	628	1	7	CARDINAL
ejpam-5241	629	1	3	CARDINAL
ejpam-5241	629	2	13	CARDINAL
ejpam-5241	630	1	3	CARDINAL
ejpam-5241	630	2	⊆	CARDINAL
ejpam-5241	630	3	g ⋄ h	ORG
ejpam-5241	631	1	g ⋄ h	ORG
ejpam-5241	632	1	9	CARDINAL
ejpam-5241	632	2	⊆	CARDINAL
ejpam-5241	632	3	⊆	CARDINAL
ejpam-5241	632	4	huv	ORG
ejpam-5241	633	1	⊆	CARDINAL
ejpam-5241	633	2	2	CARDINAL
ejpam-5241	633	3	∈	ORG
ejpam-5241	634	1	a. adolfo	PERSON
ejpam-5241	634	2	i. aniversario	PERSON
ejpam-5241	634	3	f. jamil	PERSON
ejpam-5241	635	1	j. pure	PERSON
ejpam-5241	635	2	17	CARDINAL
ejpam-5241	635	3	3	CARDINAL
ejpam-5241	635	4	2024	CARDINAL
ejpam-5241	635	5	1618-1636 1634	CARDINAL
ejpam-5241	636	1	∈	ORG
ejpam-5241	638	1	2	CARDINAL
ejpam-5241	639	1	⊆	CARDINAL
ejpam-5241	640	1	huv	PRODUCT
ejpam-5241	641	1	g ⋄ h	ORG
ejpam-5241	642	1	2	CARDINAL
ejpam-5241	642	2	huv	PRODUCT
ejpam-5241	643	1	4	CARDINAL
ejpam-5241	645	1	1	CARDINAL
ejpam-5241	645	2	2	DATE
ejpam-5241	647	1	1	CARDINAL
ejpam-5241	647	2	2	DATE
ejpam-5241	649	1	sn	ORG
ejpam-5241	651	1	1	CARDINAL
ejpam-5241	651	2	2	DATE
ejpam-5241	654	1	w ∈	PERSON
ejpam-5241	654	2	w ∈	ORG
ejpam-5241	655	1	w.	PERSON
ejpam-5241	655	2	∈	ORG
ejpam-5241	655	3	xy /∈ e(huv	ORG
ejpam-5241	656	1	2	CARDINAL
ejpam-5241	656	2	w ∈	ORG
ejpam-5241	658	1	2	CARDINAL
ejpam-5241	658	2	huv	ORG
ejpam-5241	658	3	w ∈	PERSON
ejpam-5241	658	4	∈	ORG
ejpam-5241	658	5	w	GPE
ejpam-5241	658	6	huv	ORG
ejpam-5241	659	1	2	CARDINAL
ejpam-5241	659	2	w ∈	ORG
ejpam-5241	661	1	w ∈	PERSON
ejpam-5241	662	1	2	CARDINAL
ejpam-5241	662	2	∈	ORG
ejpam-5241	662	3	2	CARDINAL
ejpam-5241	662	4	w ∈	ORG
ejpam-5241	663	1	2	CARDINAL
ejpam-5241	663	2	w ∈	ORG
ejpam-5241	665	1	w ∈	PERSON
ejpam-5241	666	1	w ∈	PERSON
ejpam-5241	666	2	w /∈ τ(g	NORP
ejpam-5241	666	3	∈	ORG
ejpam-5241	667	1	∈	ORG
ejpam-5241	668	1	2	CARDINAL
ejpam-5241	668	2	w ∈	PERSON
ejpam-5241	668	3	∈	ORG
ejpam-5241	669	1	w ∈	PERSON
ejpam-5241	671	1	∈	ORG
ejpam-5241	673	1	2	CARDINAL
ejpam-5241	675	1	5	CARDINAL
ejpam-5241	676	1	3	CARDINAL
ejpam-5241	679	1	10	CARDINAL
ejpam-5241	683	1	two	CARDINAL
ejpam-5241	684	1	1635	CARDINAL
ejpam-5241	686	1	msu-iligan institute of technology	ORG
ejpam-5241	687	1	1	CARDINAL
ejpam-5241	687	2	i. aniversario	PERSON
ejpam-5241	687	3	f. jamil	PERSON
ejpam-5241	687	4	s. canoy jr.	PERSON
ejpam-5241	689	1	utilitas mathematica	PERSON
ejpam-5241	689	2	74:3–18	DATE
ejpam-5241	689	3	2007	DATE
ejpam-5241	690	1	2	CARDINAL
ejpam-5241	690	2	i. aniversario	PERSON
ejpam-5241	690	3	f. jamil	PERSON
ejpam-5241	690	4	s. canoy jr.	PERSON
ejpam-5241	692	1	utilitas mathematica	PERSON
ejpam-5241	692	2	82, 2010	DATE
ejpam-5241	693	1	3	CARDINAL
ejpam-5241	693	2	s. joseph robin	PERSON
ejpam-5241	695	1	21:1117–1127, 2011	DATE
ejpam-5241	696	1	4	CARDINAL
ejpam-5241	696	2	b. krishnakumari	PERSON
ejpam-5241	696	3	c. natarajan	PERSON
ejpam-5241	700	1	sci.	ORG
ejpam-5241	700	2	2015	DATE
ejpam-5241	701	1	5	CARDINAL
ejpam-5241	701	2	bonsocan	NORP
ejpam-5241	701	3	f. jamil	PERSON
ejpam-5241	703	1	european journal	ORG
ejpam-5241	703	2	16(1):192–206	DATE
ejpam-5241	703	3	2023	CARDINAL
ejpam-5241	704	1	6	CARDINAL
ejpam-5241	704	2	f. buckley	PERSON
ejpam-5241	704	3	f. harary	PERSON
ejpam-5241	706	1	addison-wesley publishing company, inc.	ORG
ejpam-5241	706	2	redwood city	GPE
ejpam-5241	706	3	1990	DATE
ejpam-5241	707	1	g. cagaanan	PERSON
ejpam-5241	709	1	phd thesis	PERSON
ejpam-5241	709	2	msu-iligan institute of technology	ORG
ejpam-5241	709	3	2004	DATE
ejpam-5241	710	1	8	CARDINAL
ejpam-5241	710	2	g. chartrand	PERSON
ejpam-5241	710	3	f. harary	PERSON
ejpam-5241	710	4	p. zhang	PERSON
ejpam-5241	712	1	20:129–138, 2000	DATE
ejpam-5241	713	1	9	CARDINAL
ejpam-5241	713	2	f. harary	PERSON
ejpam-5241	715	1	ann	PERSON
ejpam-5241	716	1	20:323, 1983	DATE
ejpam-5241	717	1	10	CARDINAL
ejpam-5241	717	2	f. harary	PERSON
ejpam-5241	717	3	e. loukakis	PERSON
ejpam-5241	719	1	mathl	PERSON
ejpam-5241	720	1	comput	PERSON
ejpam-5241	721	1	17(11):89–95, 1993	DATE
ejpam-5241	722	1	11	CARDINAL
ejpam-5241	722	2	f. jamil	PERSON
ejpam-5241	722	3	i aniversario s. canoy jr.	ORG
ejpam-5241	723	1	ars combinatoria	PERSON
ejpam-5241	723	2	84:191–203, 2007	DATE
ejpam-5241	724	1	1636	CARDINAL
ejpam-5241	724	2	12	CARDINAL
ejpam-5241	724	3	s. canoy jr.	PERSON
ejpam-5241	724	4	r. mollejon	PERSON
ejpam-5241	726	1	european journal	ORG
ejpam-5241	726	2	12(4):1455	CARDINAL
ejpam-5241	726	3	1463	DATE
ejpam-5241	726	4	2019	DATE
ejpam-5241	727	1	13	CARDINAL
ejpam-5241	727	2	s. canoy jr.	PERSON
ejpam-5241	727	3	g. salasalan	PERSON
ejpam-5241	729	1	kyungpook mathematical journal	ORG
ejpam-5241	729	2	62:193–204	CARDINAL
ejpam-5241	729	3	2022	CARDINAL
ejpam-5241	730	1	14	CARDINAL
ejpam-5241	730	2	c. natarajan	PERSON
ejpam-5241	730	3	s. ayyaswamy	ORG
ejpam-5241	731	1	versita	PERSON
ejpam-5241	731	2	23:187–199	CARDINAL
ejpam-5241	731	3	2015	DATE
ejpam-5241	732	1	15	CARDINAL
ejpam-5241	732	2	h. rara	PERSON
ejpam-5241	734	1	asian-european journal of mathematics,	ORG
ejpam-5241	734	2	11	DATE
ejpam-5241	734	3	2018	DATE
ejpam-5241	735	1	16	CARDINAL
ejpam-5241	735	2	g. salasalan	PERSON
ejpam-5241	735	3	s. canoy jr.	PERSON
ejpam-5241	737	1	phd thesis	PERSON
ejpam-5241	737	2	2021	CARDINAL
ejpam-5241	738	1	17	CARDINAL
ejpam-5241	738	2	c.j.	ORG
ejpam-5241	738	3	s. canoy jr.	PERSON
ejpam-5241	739	1	european journal	ORG
ejpam-5241	739	2	15(4):1966–1981	DATE
ejpam-5241	739	3	2022	CARDINAL
ejpam-5241	740	1	18	CARDINAL
ejpam-5241	740	2	c.j.	ORG
ejpam-5241	740	3	s. canoy jr.	PERSON
ejpam-5241	742	1	european journal	ORG
ejpam-5241	742	2	16(3):1568–1579	CARDINAL
ejpam-5241	742	3	2023	CARDINAL
ejpam-5241	743	1	19	CARDINAL
ejpam-5241	743	2	c.j.	ORG
ejpam-5241	743	3	s. canoy jr.	PERSON
ejpam-5241	744	1	european journal	ORG
ejpam-5241	744	2	16(1):5–17	CARDINAL
ejpam-5241	744	3	2023	CARDINAL