id	sid	eid	entity	type
ejpam-4645	1	1	european journal	ORG
ejpam-4645	2	1	16	CARDINAL
ejpam-4645	2	2	1	CARDINAL
ejpam-4645	2	3	2023	CARDINAL
ejpam-4645	2	4	479	CARDINAL
ejpam-4645	2	5	1307-5543	DATE
ejpam-4645	2	6	new york	GPE
ejpam-4645	2	7	gina a. malacas1,∗	PERSON
ejpam-4645	2	8	sergio r. canoy	PERSON
ejpam-4645	2	9	chacon1 1	FAC
ejpam-4645	2	10	msu-iligan institute of technology	ORG
ejpam-4645	2	11	9200	CARDINAL
ejpam-4645	2	12	iligan city	GPE
ejpam-4645	2	13	philippines	GPE
ejpam-4645	3	1	⊆	CARDINAL
ejpam-4645	4	1	w ∈ s	PERSON
ejpam-4645	4	2	two	CARDINAL
ejpam-4645	5	1	s. s	PERSON
ejpam-4645	6	1	2020	DATE
ejpam-4645	6	2	05c69	CARDINAL
ejpam-4645	6	3	1	CARDINAL
ejpam-4645	8	1	two	CARDINAL
ejpam-4645	8	2	∈	ORG
ejpam-4645	9	1	∈	ORG
ejpam-4645	10	1	1	CARDINAL
ejpam-4645	10	2	∈	ORG
ejpam-4645	10	3	two	CARDINAL
ejpam-4645	11	1	two	CARDINAL
ejpam-4645	12	1	21	CARDINAL
ejpam-4645	14	1	∈	PERSON
ejpam-4645	15	1	∩	PERSON
ejpam-4645	16	1	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-4645	16	2	s. canoy, jr.	PERSON
ejpam-4645	16	3	emmy.chacon@g.msuiit.edu.ph	GPE
ejpam-4645	16	4	e. chacon	PERSON
ejpam-4645	16	5	479	CARDINAL
ejpam-4645	17	1	2023	CARDINAL
ejpam-4645	18	1	g. malacas	PERSON
ejpam-4645	18	2	s. canoy, jr.	PERSON
ejpam-4645	18	3	e. chacon	PERSON
ejpam-4645	19	1	j. pure	PERSON
ejpam-4645	19	2	16	CARDINAL
ejpam-4645	19	3	1	CARDINAL
ejpam-4645	19	4	2023	CARDINAL
ejpam-4645	19	5	479	CARDINAL
ejpam-4645	19	6	two	CARDINAL
ejpam-4645	19	7	∈	ORG
ejpam-4645	28	1	sln(g	PERSON
ejpam-4645	30	1	sln(g	PERSON
ejpam-4645	37	1	9	CARDINAL
ejpam-4645	38	1	2	CARDINAL
ejpam-4645	38	2	3	CARDINAL
ejpam-4645	38	3	4	CARDINAL
ejpam-4645	38	4	5	CARDINAL
ejpam-4645	38	5	11	CARDINAL
ejpam-4645	38	6	12	CARDINAL
ejpam-4645	38	7	16	CARDINAL
ejpam-4645	38	8	18	CARDINAL
ejpam-4645	39	1	6	CARDINAL
ejpam-4645	40	1	8	CARDINAL
ejpam-4645	40	2	10	CARDINAL
ejpam-4645	40	3	13	CARDINAL
ejpam-4645	40	4	14	CARDINAL
ejpam-4645	40	5	15	CARDINAL
ejpam-4645	41	1	17	CARDINAL
ejpam-4645	41	2	19	CARDINAL
ejpam-4645	41	3	20	CARDINAL
ejpam-4645	42	1	1	CARDINAL
ejpam-4645	43	1	two	CARDINAL
ejpam-4645	44	1	one	CARDINAL
ejpam-4645	45	1	u)(y	ORG
ejpam-4645	46	1	⊆	CARDINAL
ejpam-4645	46	2	tx	ORG
ejpam-4645	46	3	⊆	PRODUCT
ejpam-4645	47	1	∈	ORG
ejpam-4645	47	2	tx	ORG
ejpam-4645	47	3	∈	ORG
ejpam-4645	48	1	2	CARDINAL
ejpam-4645	48	2	l(g	PERSON
ejpam-4645	48	3	first	ORDINAL
ejpam-4645	48	4	1	CARDINAL
ejpam-4645	49	1	1	CARDINAL
ejpam-4645	52	1	g. malacas	PERSON
ejpam-4645	52	2	s. canoy, jr.	PERSON
ejpam-4645	52	3	e. chacon	PERSON
ejpam-4645	53	1	j. pure	PERSON
ejpam-4645	53	2	16	CARDINAL
ejpam-4645	53	3	1	CARDINAL
ejpam-4645	53	4	2023	CARDINAL
ejpam-4645	53	5	479	CARDINAL
ejpam-4645	53	6	490 481	CARDINAL
ejpam-4645	53	7	2	CARDINAL
ejpam-4645	55	1	g ⋄ h	ORG
ejpam-4645	56	1	⊆	CARDINAL
ejpam-4645	57	1	huv	ORG
ejpam-4645	57	2	huv	ORG
ejpam-4645	57	3	huv	ORG
ejpam-4645	57	4	v}∩ l(g	PERSON
ejpam-4645	57	5	∈	ORG
ejpam-4645	57	6	∈	ORG
ejpam-4645	58	1	∈	ORG
ejpam-4645	58	2	hwv)\swv	GPE
ejpam-4645	58	3	∩ swv ̸=	PERSON
ejpam-4645	59	1	g ⋄ h.	ORG
ejpam-4645	59	2	∈	ORG
ejpam-4645	62	1	g ⋄ h	ORG
ejpam-4645	63	1	s = ng⋄h(x) ∩ c ̸=	PERSON
ejpam-4645	64	1	s.	PERSON
ejpam-4645	64	2	huv	ORG
ejpam-4645	64	3	huv	PRODUCT
ejpam-4645	66	1	∈	ORG
ejpam-4645	66	2	huv	ORG
ejpam-4645	69	1	∈	ORG
ejpam-4645	69	2	u /∈ a.	ORG
ejpam-4645	69	3	∈	ORG
ejpam-4645	71	1	w /∈ a.	PERSON
ejpam-4645	76	1	g ⋄ h	ORG
ejpam-4645	78	1	∈	PRODUCT
ejpam-4645	79	1	∈	ORG
ejpam-4645	80	1	∈	ORG
ejpam-4645	81	1	∈	ORG
ejpam-4645	82	1	∈	ORG
ejpam-4645	83	1	g ⋄ h. g. malacas	ORG
ejpam-4645	83	2	s. canoy, jr.	PERSON
ejpam-4645	83	3	e. chacon	PERSON
ejpam-4645	84	1	j. pure	PERSON
ejpam-4645	84	2	16	CARDINAL
ejpam-4645	84	3	1	CARDINAL
ejpam-4645	84	4	2023	CARDINAL
ejpam-4645	84	5	479	CARDINAL
ejpam-4645	84	6	∈	ORG
ejpam-4645	84	7	∈	PRODUCT
ejpam-4645	84	8	⟨{u	PRODUCT
ejpam-4645	84	9	∈	ORG
ejpam-4645	84	10	1	CARDINAL
ejpam-4645	87	1	⊆	PRODUCT
ejpam-4645	87	2	sxy ⊆	ORG
ejpam-4645	88	1	∈	ORG
ejpam-4645	90	1	⊆	CARDINAL
ejpam-4645	90	2	⟨{u	NORP
ejpam-4645	90	3	⊆	CARDINAL
ejpam-4645	90	4	∩ c. case	PERSON
ejpam-4645	90	5	2	CARDINAL
ejpam-4645	91	1	xy	ORG
ejpam-4645	92	1	1	CARDINAL
ejpam-4645	94	1	sxy ̸=	PERSON
ejpam-4645	95	1	u /∈ a.	ORG
ejpam-4645	95	2	∈	ORG
ejpam-4645	95	3	∩ c. case	PERSON
ejpam-4645	95	4	3	CARDINAL
ejpam-4645	97	1	first	ORDINAL
ejpam-4645	98	1	w ∈	PERSON
ejpam-4645	98	2	vw ∈	ORG
ejpam-4645	99	1	⊆	CARDINAL
ejpam-4645	102	1	∈	ORG
ejpam-4645	102	2	huv	ORG
ejpam-4645	104	1	∈	ORG
ejpam-4645	106	1	1	CARDINAL
ejpam-4645	109	1	⊆	CARDINAL
ejpam-4645	109	2	sau ∩ng⋄h(p	ORG
ejpam-4645	109	3	∩ c. subcase	PERSON
ejpam-4645	109	4	2	CARDINAL
ejpam-4645	109	5	u ∈ l(g	ORG
ejpam-4645	109	6	∈ l(g	ORG
ejpam-4645	112	1	⊆	CARDINAL
ejpam-4645	113	1	⊆	CARDINAL
ejpam-4645	113	2	∈	ORG
ejpam-4645	113	3	g. malacas	PERSON
ejpam-4645	113	4	s. canoy, jr.	PERSON
ejpam-4645	113	5	e. chacon	PERSON
ejpam-4645	114	1	j. pure	PERSON
ejpam-4645	114	2	16	CARDINAL
ejpam-4645	114	3	1	CARDINAL
ejpam-4645	114	4	2023	CARDINAL
ejpam-4645	114	5	479-490 483	QUANTITY
ejpam-4645	115	1	1	CARDINAL
ejpam-4645	116	1	1	CARDINAL
ejpam-4645	118	1	|e(g)|γl(h	GPE
ejpam-4645	121	1	∈	ORG
ejpam-4645	122	1	2	CARDINAL
ejpam-4645	123	1	∈	ORG
ejpam-4645	124	1	2	CARDINAL
ejpam-4645	127	1	l(g	PERSON
ejpam-4645	127	2	∈	ORG
ejpam-4645	128	1	2	CARDINAL
ejpam-4645	129	1	∈	ORG
ejpam-4645	130	1	2	CARDINAL
ejpam-4645	132	1	1	CARDINAL
ejpam-4645	133	1	2	CARDINAL
ejpam-4645	136	1	6	CARDINAL
ejpam-4645	139	1	5	CARDINAL
ejpam-4645	139	2	6	CARDINAL
ejpam-4645	140	1	4	CARDINAL
ejpam-4645	140	2	6	CARDINAL
ejpam-4645	142	1	8	CARDINAL
ejpam-4645	143	1	3	CARDINAL
ejpam-4645	145	1	g ⋄ h	ORG
ejpam-4645	146	1	⊆	CARDINAL
ejpam-4645	147	1	g. malacas	PERSON
ejpam-4645	147	2	s. canoy, jr.	PERSON
ejpam-4645	147	3	e. chacon	PERSON
ejpam-4645	148	1	j. pure	PERSON
ejpam-4645	148	2	16	CARDINAL
ejpam-4645	148	3	1	CARDINAL
ejpam-4645	148	4	2023	CARDINAL
ejpam-4645	148	5	479	CARDINAL
ejpam-4645	148	6	huv	ORG
ejpam-4645	148	7	huv	ORG
ejpam-4645	148	8	huv	ORG
ejpam-4645	148	9	∈	PRODUCT
ejpam-4645	149	1	∩ l(g	ORG
ejpam-4645	149	2	∈	ORG
ejpam-4645	150	1	∈	ORG
ejpam-4645	150	2	∈	ORG
ejpam-4645	151	1	g ⋄ h.	ORG
ejpam-4645	151	2	∈	ORG
ejpam-4645	153	1	xy ∈	PERSON
ejpam-4645	154	1	2(ii)(a	CARDINAL
ejpam-4645	154	2	sxy	ORG
ejpam-4645	155	1	sxy	PRODUCT
ejpam-4645	157	1	∪uv∈[e(g)\{xy}]suv]∪	GPE
ejpam-4645	157	2	sxy \{p}	ORG
ejpam-4645	158	1	2(ii)(a	CARDINAL
ejpam-4645	162	1	one	CARDINAL
ejpam-4645	162	2	∈ l(g	ORG
ejpam-4645	163	1	2(ii)(c	CARDINAL
ejpam-4645	164	1	morover	PERSON
ejpam-4645	165	1	y ∈ l(g	ORG
ejpam-4645	165	2	2(ii)(d	CARDINAL
ejpam-4645	169	1	2	CARDINAL
ejpam-4645	172	1	w /∈ a.	PERSON
ejpam-4645	174	1	2(iii	CARDINAL
ejpam-4645	176	1	2	CARDINAL
ejpam-4645	176	2	w /∈ a.	PERSON
ejpam-4645	176	3	∈	ORG
ejpam-4645	177	1	∈	ORG
ejpam-4645	178	1	nhzw(x	PERSON
ejpam-4645	178	2	∈	ORG
ejpam-4645	178	3	∈	ORG
ejpam-4645	178	4	g. malacas	PERSON
ejpam-4645	178	5	s. canoy, jr.	PERSON
ejpam-4645	178	6	e. chacon	PERSON
ejpam-4645	179	1	j. pure	PERSON
ejpam-4645	179	2	16	CARDINAL
ejpam-4645	179	3	1	CARDINAL
ejpam-4645	179	4	2023	CARDINAL
ejpam-4645	179	5	479-490 485	QUANTITY
ejpam-4645	179	6	̸=	ORG
ejpam-4645	179	7	2	CARDINAL
ejpam-4645	180	1	∈	ORG
ejpam-4645	181	1	first	ORDINAL
ejpam-4645	184	1	two	CARDINAL
ejpam-4645	184	2	3	CARDINAL
ejpam-4645	184	3	2	CARDINAL
ejpam-4645	185	1	3	CARDINAL
ejpam-4645	186	1	leth	ORG
ejpam-4645	190	1	3	CARDINAL
ejpam-4645	192	1	3	CARDINAL
ejpam-4645	193	1	γ(h	ORG
ejpam-4645	197	1	1	CARDINAL
ejpam-4645	197	2	γ(h	ORG
ejpam-4645	198	1	∈	ORG
ejpam-4645	198	2	3	CARDINAL
ejpam-4645	199	1	g ⋄ h	ORG
ejpam-4645	199	2	γsl(g ⋄ h	ORG
ejpam-4645	200	1	15	CARDINAL
ejpam-4645	201	1	4	CARDINAL
ejpam-4645	203	1	⋃	PERSON
ejpam-4645	203	2	⊆	CARDINAL
ejpam-4645	203	3	tx	ORG
ejpam-4645	203	4	⊆	PRODUCT
ejpam-4645	203	5	∈	ORG
ejpam-4645	206	1	tx	ORG
ejpam-4645	207	1	tx	PERSON
ejpam-4645	208	1	g. malacas	PERSON
ejpam-4645	208	2	s. canoy, jr.	PERSON
ejpam-4645	208	3	e. chacon	PERSON
ejpam-4645	209	1	j. pure	PERSON
ejpam-4645	209	2	16	CARDINAL
ejpam-4645	209	3	1	CARDINAL
ejpam-4645	209	4	2023	CARDINAL
ejpam-4645	209	5	479	CARDINAL
ejpam-4645	209	6	tx	ORG
ejpam-4645	210	1	5	CARDINAL
ejpam-4645	211	1	2	CARDINAL
ejpam-4645	212	1	⋃	PERSON
ejpam-4645	212	2	⊆	CARDINAL
ejpam-4645	212	3	tx	ORG
ejpam-4645	212	4	⊆	PRODUCT
ejpam-4645	212	5	∈	ORG
ejpam-4645	215	1	tx	ORG
ejpam-4645	216	1	tx	ORG
ejpam-4645	217	1	tx	ORG
ejpam-4645	220	1	4	CARDINAL
ejpam-4645	220	2	tx	ORG
ejpam-4645	221	1	∈	ORG
ejpam-4645	222	1	g[h	ORG
ejpam-4645	223	1	4(ii	DATE
ejpam-4645	225	1	tx	ORG
ejpam-4645	225	2	4(iii	CARDINAL
ejpam-4645	226	1	g[h	ORG
ejpam-4645	226	2	tx	ORG
ejpam-4645	226	3	4(iii	DATE
ejpam-4645	229	1	tx	ORG
ejpam-4645	230	1	∈	ORG
ejpam-4645	231	1	g[h	ORG
ejpam-4645	231	2	tx	ORG
ejpam-4645	234	1	4	CARDINAL
ejpam-4645	235	1	g. malacas	PERSON
ejpam-4645	235	2	s. canoy, jr.	PERSON
ejpam-4645	235	3	e. chacon	PERSON
ejpam-4645	236	1	j. pure	PERSON
ejpam-4645	236	2	16	CARDINAL
ejpam-4645	236	3	1	CARDINAL
ejpam-4645	236	4	2023	CARDINAL
ejpam-4645	236	5	479	CARDINAL
ejpam-4645	239	1	tx	ORG
ejpam-4645	243	1	tx	ORG
ejpam-4645	244	1	tx	ORG
ejpam-4645	247	1	w	GPE
ejpam-4645	249	1	tw	ORG
ejpam-4645	249	2	tw	ORG
ejpam-4645	249	3	c∗	PERSON
ejpam-4645	249	4	g[h	ORG
ejpam-4645	250	1	g[h	ORG
ejpam-4645	251	1	γsl(h	PERSON
ejpam-4645	251	2	γsl(h	PERSON
ejpam-4645	253	1	γsl(h	PERSON
ejpam-4645	254	1	1	CARDINAL
ejpam-4645	255	1	γsl(h	PERSON
ejpam-4645	255	2	3	CARDINAL
ejpam-4645	261	1	•	CARDINAL
ejpam-4645	261	2	1	CARDINAL
ejpam-4645	261	3	4	CARDINAL
ejpam-4645	265	1	tx	ORG
ejpam-4645	267	1	g[h	ORG
ejpam-4645	267	2	5	CARDINAL
ejpam-4645	269	1	488	CARDINAL
ejpam-4645	269	2	4	CARDINAL
ejpam-4645	270	1	1	CARDINAL
ejpam-4645	271	1	9	CARDINAL
ejpam-4645	271	2	3.3	CARDINAL
ejpam-4645	272	1	5	CARDINAL
ejpam-4645	274	1	⋃	PERSON
ejpam-4645	274	2	⊆	CARDINAL
ejpam-4645	274	3	tx	ORG
ejpam-4645	274	4	⊆	PRODUCT
ejpam-4645	274	5	∈	ORG
ejpam-4645	275	1	tx	ORG
ejpam-4645	278	1	5	CARDINAL
ejpam-4645	278	2	⋃	PERSON
ejpam-4645	279	1	tx	ORG
ejpam-4645	280	1	tx	ORG
ejpam-4645	286	1	3	CARDINAL
ejpam-4645	291	1	msu-iligan institute of technology	ORG
ejpam-4645	292	1	1	CARDINAL
ejpam-4645	292	2	e. ahmad	PERSON
ejpam-4645	292	3	g. malacas	PERSON
ejpam-4645	292	4	s. canoy jr.	PERSON
ejpam-4645	293	1	european journal	ORG
ejpam-4645	293	2	14(3):638–649	DATE
ejpam-4645	293	3	2021	DATE
ejpam-4645	294	1	2	CARDINAL
ejpam-4645	294	2	m.h. akhbari	GPE
ejpam-4645	294	3	r. hasni	PERSON
ejpam-4645	294	4	o. favaron	PERSON
ejpam-4645	294	5	h. karami	PERSON
ejpam-4645	294	6	s.m.	GPE
ejpam-4645	296	1	26(1):10–18, 2013	DATE
ejpam-4645	297	1	489	CARDINAL
ejpam-4645	298	1	3	CARDINAL
ejpam-4645	298	2	s. canoy jr.	PERSON
ejpam-4645	299	1	8:1571–1580	CARDINAL
ejpam-4645	299	2	2014	DATE
ejpam-4645	300	1	4	CARDINAL
ejpam-4645	300	2	j. cyman	PERSON
ejpam-4645	302	1	australasian journal of combinatorics	ORG
ejpam-4645	302	2	2007	DATE
ejpam-4645	303	1	5	CARDINAL
ejpam-4645	303	2	s. daniel	PERSON
ejpam-4645	303	3	s. canoy jr.	PERSON
ejpam-4645	304	1	9(116):5749–5755	CARDINAL
ejpam-4645	304	2	2015	DATE
ejpam-4645	305	1	6	CARDINAL
ejpam-4645	305	2	b.l. hartnell	ORG
ejpam-4645	308	1	numer	PERSON
ejpam-4645	309	1	65:191–200	CARDINAL
ejpam-4645	309	2	1988	DATE
ejpam-4645	310	1	7	CARDINAL
ejpam-4645	310	2	d. geoffrey	PERSON
ejpam-4645	312	1	21:145–162, 1978	DATE
ejpam-4645	313	1	8	CARDINAL
ejpam-4645	313	2	j. gimbel	PERSON
ejpam-4645	313	3	b. van gorden	PERSON
ejpam-4645	313	4	m. nicolescu	PERSON
ejpam-4645	316	1	numer	PERSON
ejpam-4645	316	2	151:129–144, 2001	DATE
ejpam-4645	317	1	9	CARDINAL
ejpam-4645	317	2	w. haynes	PERSON
ejpam-4645	317	3	s.t. hedetnieme	PERSON
ejpam-4645	317	4	slater	PERSON
ejpam-4645	319	1	28, 1998	DATE
ejpam-4645	320	1	10	CARDINAL
ejpam-4645	320	2	haynes	ORG
ejpam-4645	320	3	m.a. henning	PERSON
ejpam-4645	320	4	j. howard	PERSON
ejpam-4645	322	1	154(8):1293–1300, 2006	DATE
ejpam-4645	323	1	11	CARDINAL
ejpam-4645	323	2	r. hinampas	PERSON
ejpam-4645	323	3	s. canoy jr.	PERSON
ejpam-4645	323	4	1-movable	QUANTITY
ejpam-4645	324	1	8(172):8565–8571,	DATE
ejpam-4645	324	2	2014	DATE
ejpam-4645	325	1	12	CARDINAL
ejpam-4645	325	2	h. jiang	PERSON
ejpam-4645	325	3	e. shan	PERSON
ejpam-4645	327	1	american mathematical society	ORG
ejpam-4645	327	2	2010	DATE
ejpam-4645	328	1	13	CARDINAL
ejpam-4645	328	2	s. canoy jr.	PERSON
ejpam-4645	328	3	g. malacas	PERSON
ejpam-4645	330	1	nrcp research journal.	ORG
ejpam-4645	330	2	13(1):1–8	DATE
ejpam-4645	330	3	2013	DATE
ejpam-4645	331	1	14	CARDINAL
ejpam-4645	331	2	s. canoy jr.	PERSON
ejpam-4645	331	3	g. malacas	PERSON
ejpam-4645	333	1	tamkang journal of mathematics, 46(1):51–60,	ORG
ejpam-4645	333	2	2015	DATE
ejpam-4645	334	1	15	CARDINAL
ejpam-4645	334	2	s. canoy jr.	PERSON
ejpam-4645	334	3	g. malacas	PERSON
ejpam-4645	334	4	d. tarepe	PERSON
ejpam-4645	336	1	8(88):4381–4388, 2014	DATE
ejpam-4645	337	1	16	CARDINAL
ejpam-4645	337	2	m. labendia	PERSON
ejpam-4645	337	3	s. canoy jr.	PERSON
ejpam-4645	338	1	czechoslovak mathematical journal	ORG
ejpam-4645	338	2	62(4):1003–1009	CARDINAL
ejpam-4645	338	3	2012	DATE
ejpam-4645	339	1	17	CARDINAL
ejpam-4645	339	2	s. canoy jr.	PERSON
ejpam-4645	340	1	60:2957–2964	DATE
ejpam-4645	340	2	2015	DATE
ejpam-4645	341	1	18	CARDINAL
ejpam-4645	341	2	e. sandueta	PERSON
ejpam-4645	341	3	s. canoy jr.	PERSON
ejpam-4645	342	1	6(21):1031–1035, 2011	DATE
ejpam-4645	343	1	19	CARDINAL
ejpam-4645	343	2	slater	PERSON
ejpam-4645	345	1	1987	DATE
ejpam-4645	346	1	490	CARDINAL
ejpam-4645	346	2	20	CARDINAL
ejpam-4645	346	3	slater	PERSON
ejpam-4645	348	1	249:179	CARDINAL
ejpam-4645	348	2	189, 2002	DATE
ejpam-4645	349	1	21	CARDINAL
ejpam-4645	351	1	5:179–187, 1973	DATE