id	sid	eid	entity	type
ejpam-4451	1	1	european journal	ORG
ejpam-4451	2	1	15	CARDINAL
ejpam-4451	2	2	3	CARDINAL
ejpam-4451	2	3	2022	CARDINAL
ejpam-4451	2	4	1047-1053	CARDINAL
ejpam-4451	3	1	new york	GPE
ejpam-4451	3	2	2	CARDINAL
ejpam-4451	3	3	two	CARDINAL
ejpam-4451	3	4	jean cabaro1,∗	PERSON
ejpam-4451	3	5	helen rara2	PERSON
ejpam-4451	3	6	1	CARDINAL
ejpam-4451	3	7	mindanao state university	ORG
ejpam-4451	3	8	9700	CARDINAL
ejpam-4451	3	9	marawi city	GPE
ejpam-4451	3	10	philippines 2 department	ORG
ejpam-4451	3	11	mindanao state university-iligan institute of technology	ORG
ejpam-4451	3	12	9200	CARDINAL
ejpam-4451	3	13	iligan city	GPE
ejpam-4451	3	14	philippines	GPE
ejpam-4451	5	1	vl	ORG
ejpam-4451	5	2	2	CARDINAL
ejpam-4451	5	3	w ∈	PERSON
ejpam-4451	5	4	vl	ORG
ejpam-4451	5	5	vl	ORG
ejpam-4451	5	6	at least 2	CARDINAL
ejpam-4451	6	1	⊆	CARDINAL
ejpam-4451	6	2	2	CARDINAL
ejpam-4451	6	3	2	CARDINAL
ejpam-4451	6	4	g)\s⟩	ORG
ejpam-4451	7	1	2r	CARDINAL
ejpam-4451	7	2	γr2r(g	ORG
ejpam-4451	7	3	2	CARDINAL
ejpam-4451	7	4	2	CARDINAL
ejpam-4451	7	5	2	CARDINAL
ejpam-4451	8	1	2	CARDINAL
ejpam-4451	8	2	two	CARDINAL
ejpam-4451	8	3	2	CARDINAL
ejpam-4451	9	1	2020	DATE
ejpam-4451	9	2	05c62	CARDINAL
ejpam-4451	9	3	2	CARDINAL
ejpam-4451	9	4	2	CARDINAL
ejpam-4451	9	5	two	CARDINAL
ejpam-4451	9	6	1	CARDINAL
ejpam-4451	9	7	slater	PERSON
ejpam-4451	10	1	9	CARDINAL
ejpam-4451	11	1	4	CARDINAL
ejpam-4451	12	1	bailey	PERSON
ejpam-4451	12	2	yero	ORG
ejpam-4451	12	3	1	CARDINAL
ejpam-4451	13	1	https://doi.org/10.29020/nybg.ejpam.v15i3.4451	LOC
ejpam-4451	13	2	j. cabaro	PERSON
ejpam-4451	13	3	h. rara	PERSON
ejpam-4451	13	4	1047	CARDINAL
ejpam-4451	13	5	2022	CARDINAL
ejpam-4451	14	1	j. cabaro	PERSON
ejpam-4451	14	2	h. rara	PERSON
ejpam-4451	15	1	j. pure	PERSON
ejpam-4451	15	2	15	CARDINAL
ejpam-4451	15	3	3	CARDINAL
ejpam-4451	15	4	2022	CARDINAL
ejpam-4451	15	5	1047-1053 1048	CARDINAL
ejpam-4451	16	1	two	CARDINAL
ejpam-4451	17	1	recent years	DATE
ejpam-4451	17	2	dim(g	ORG
ejpam-4451	19	1	8	CARDINAL
ejpam-4451	19	2	⊆	CARDINAL
ejpam-4451	19	3	r(v/w	ORG
ejpam-4451	20	1	w	GPE
ejpam-4451	21	1	w	ORG
ejpam-4451	21	2	w	GPE
ejpam-4451	22	1	w	ORG
ejpam-4451	22	2	r(v/w	ORG
ejpam-4451	22	3	∈	ORG
ejpam-4451	24	1	5	CARDINAL
ejpam-4451	24	2	2	CARDINAL
ejpam-4451	24	3	∈	ORG
ejpam-4451	24	4	r(u/w	ORG
ejpam-4451	24	5	r(v/w	ORG
ejpam-4451	24	6	at least 2	CARDINAL
ejpam-4451	25	1	w	GPE
ejpam-4451	25	2	2	CARDINAL
ejpam-4451	25	3	2	CARDINAL
ejpam-4451	25	4	2-metric	QUANTITY
ejpam-4451	25	5	2	CARDINAL
ejpam-4451	25	6	2	CARDINAL
ejpam-4451	25	7	2-metric	QUANTITY
ejpam-4451	26	1	6	CARDINAL
ejpam-4451	26	2	2	CARDINAL
ejpam-4451	26	3	two	CARDINAL
ejpam-4451	27	1	2	CARDINAL
ejpam-4451	27	2	two	CARDINAL
ejpam-4451	28	1	2	CARDINAL
ejpam-4451	29	1	3	CARDINAL
ejpam-4451	30	1	1	CARDINAL
ejpam-4451	31	1	2	CARDINAL
ejpam-4451	31	2	n ≥ 2.	ORG
ejpam-4451	31	3	2	CARDINAL
ejpam-4451	31	4	1	CARDINAL
ejpam-4451	32	1	n ≥ 2, γ2r(g	ORG
ejpam-4451	33	1	2	CARDINAL
ejpam-4451	33	2	n ≥ 2	DATE
ejpam-4451	35	1	3	CARDINAL
ejpam-4451	36	1	n ≥ 2.	ORG
ejpam-4451	37	1	g ∼= k1,n−1	PERSON
ejpam-4451	38	1	j. cabaro	PERSON
ejpam-4451	38	2	h. rara	PERSON
ejpam-4451	39	1	j. pure	PERSON
ejpam-4451	39	2	15	CARDINAL
ejpam-4451	39	3	3	CARDINAL
ejpam-4451	39	4	2022	CARDINAL
ejpam-4451	39	5	1047-1053 1049	CARDINAL
ejpam-4451	39	6	4	CARDINAL
ejpam-4451	40	1	n ≥ 2.	ORG
ejpam-4451	40	2	2	CARDINAL
ejpam-4451	42	1	1	CARDINAL
ejpam-4451	43	1	3	CARDINAL
ejpam-4451	43	2	2	CARDINAL
ejpam-4451	43	3	1	CARDINAL
ejpam-4451	45	1	⊆	CARDINAL
ejpam-4451	45	2	2	CARDINAL
ejpam-4451	46	1	g)∩s	PERSON
ejpam-4451	46	2	2	CARDINAL
ejpam-4451	46	3	2	CARDINAL
ejpam-4451	46	4	2, 1)-locating	DATE
ejpam-4451	46	5	one	CARDINAL
ejpam-4451	46	6	2	CARDINAL
ejpam-4451	48	1	2	CARDINAL
ejpam-4451	49	1	2	CARDINAL
ejpam-4451	51	1	⊆	CARDINAL
ejpam-4451	51	2	2	CARDINAL
ejpam-4451	52	1	2	CARDINAL
ejpam-4451	52	2	2, 1)-locating	DATE
ejpam-4451	53	1	3	CARDINAL
ejpam-4451	55	1	2	CARDINAL
ejpam-4451	55	2	2	CARDINAL
ejpam-4451	55	3	g+h	ORG
ejpam-4451	57	1	⊆	CARDINAL
ejpam-4451	57	2	2	CARDINAL
ejpam-4451	57	3	g+h	ORG
ejpam-4451	58	1	2	CARDINAL
ejpam-4451	58	2	g+h	ORG
ejpam-4451	59	1	2	CARDINAL
ejpam-4451	59	2	g+h	ORG
ejpam-4451	59	3	1	CARDINAL
ejpam-4451	60	1	2	CARDINAL
ejpam-4451	60	2	2	CARDINAL
ejpam-4451	60	3	g+h	ORG
ejpam-4451	61	1	1	CARDINAL
ejpam-4451	66	1	1	CARDINAL
ejpam-4451	66	2	2	CARDINAL
ejpam-4451	67	1	j. cabaro	PERSON
ejpam-4451	67	2	h. rara	PERSON
ejpam-4451	68	1	j. pure	PERSON
ejpam-4451	68	2	15	CARDINAL
ejpam-4451	68	3	3	CARDINAL
ejpam-4451	68	4	2022	CARDINAL
ejpam-4451	68	5	1047-1053 1050	CARDINAL
ejpam-4451	231	1	• • • • • • •	DATE
ejpam-4451	231	2	1	CARDINAL
ejpam-4451	231	3	7	CARDINAL
ejpam-4451	231	4	4	CARDINAL
ejpam-4451	233	1	⊆	CARDINAL
ejpam-4451	233	2	2	CARDINAL
ejpam-4451	234	1	2	CARDINAL
ejpam-4451	235	1	2	CARDINAL
ejpam-4451	236	1	2	CARDINAL
ejpam-4451	236	2	2	CARDINAL
ejpam-4451	236	3	2	CARDINAL
ejpam-4451	236	4	∈	ORG
ejpam-4451	236	5	2	CARDINAL
ejpam-4451	236	6	2, 1)-locating	DATE
ejpam-4451	236	7	2	CARDINAL
ejpam-4451	236	8	2	CARDINAL
ejpam-4451	237	1	m.	PERSON
ejpam-4451	238	1	1 +m	QUANTITY
ejpam-4451	239	1	4	CARDINAL
ejpam-4451	239	2	2	CARDINAL
ejpam-4451	239	3	5	CARDINAL
ejpam-4451	241	1	⊆	CARDINAL
ejpam-4451	241	2	2	CARDINAL
ejpam-4451	242	1	⋃	PRODUCT
ejpam-4451	243	1	⊆	CARDINAL
ejpam-4451	243	2	sv	PERSON
ejpam-4451	243	3	2	CARDINAL
ejpam-4451	243	4	2	CARDINAL
ejpam-4451	243	5	∈	ORG
ejpam-4451	244	1	j. cabaro	PERSON
ejpam-4451	244	2	h. rara	PERSON
ejpam-4451	245	1	j. pure	PERSON
ejpam-4451	245	2	15	CARDINAL
ejpam-4451	245	3	3	CARDINAL
ejpam-4451	245	4	2022	CARDINAL
ejpam-4451	245	5	1047-1053 1051	CARDINAL
ejpam-4451	245	6	6	CARDINAL
ejpam-4451	247	1	⊆	CARDINAL
ejpam-4451	247	2	2	CARDINAL
ejpam-4451	248	1	⋃ v∈a sv	ORG
ejpam-4451	249	1	⊆	CARDINAL
ejpam-4451	249	2	sw	ORG
ejpam-4451	249	3	2	CARDINAL
ejpam-4451	249	4	2	CARDINAL
ejpam-4451	249	5	∈	ORG
ejpam-4451	251	1	2	CARDINAL
ejpam-4451	251	2	5	CARDINAL
ejpam-4451	252	1	⋃ v∈a sv	ORG
ejpam-4451	253	1	5	CARDINAL
ejpam-4451	253	2	2	CARDINAL
ejpam-4451	253	3	∈	ORG
ejpam-4451	254	1	w ∈ s	PERSON
ejpam-4451	255	1	w /∈ s	PERSON
ejpam-4451	256	1	sw	ORG
ejpam-4451	256	2	2	CARDINAL
ejpam-4451	257	1	∩ sw	PERSON
ejpam-4451	258	1	2	CARDINAL
ejpam-4451	260	1	γr2r(g ◦	GPE
ejpam-4451	260	2	γ2r(h	PERSON
ejpam-4451	261	1	2	CARDINAL
ejpam-4451	261	2	2	CARDINAL
ejpam-4451	261	3	c5	ORG
ejpam-4451	328	1	•	CARDINAL
ejpam-4451	328	2	•	CARDINAL
ejpam-4451	328	3	2	CARDINAL
ejpam-4451	329	1	12	CARDINAL
ejpam-4451	329	2	j. cabaro	PERSON
ejpam-4451	329	3	h. rara	PERSON
ejpam-4451	330	1	j. pure	PERSON
ejpam-4451	330	2	15	CARDINAL
ejpam-4451	330	3	3	CARDINAL
ejpam-4451	330	4	2022	CARDINAL
ejpam-4451	330	5	1047-1053	CARDINAL
ejpam-4451	331	1	2	CARDINAL
ejpam-4451	331	2	7	CARDINAL
ejpam-4451	333	1	⋃	PERSON
ejpam-4451	333	2	⊆	CARDINAL
ejpam-4451	333	3	tx	ORG
ejpam-4451	333	4	⊆	PRODUCT
ejpam-4451	333	5	∈	ORG
ejpam-4451	333	6	2	CARDINAL
ejpam-4451	333	7	tx	ORG
ejpam-4451	333	8	2	CARDINAL
ejpam-4451	333	9	tx	ORG
ejpam-4451	333	10	2	CARDINAL
ejpam-4451	333	11	∈	ORG
ejpam-4451	333	12	tx	ORG
ejpam-4451	333	13	2, 1)-locating	DATE
ejpam-4451	333	14	one	CARDINAL
ejpam-4451	333	15	tx	ORG
ejpam-4451	333	16	2	CARDINAL
ejpam-4451	333	17	y ∈ eq1(g	PERSON
ejpam-4451	333	18	tx	ORG
ejpam-4451	333	19	2	CARDINAL
ejpam-4451	333	20	one	CARDINAL
ejpam-4451	333	21	tx	ORG
ejpam-4451	333	22	tx	ORG
ejpam-4451	333	23	2	CARDINAL
ejpam-4451	334	1	8	CARDINAL
ejpam-4451	336	1	⋃	PERSON
ejpam-4451	336	2	⊆	CARDINAL
ejpam-4451	336	3	tx	ORG
ejpam-4451	336	4	⊆	PRODUCT
ejpam-4451	336	5	∈	ORG
ejpam-4451	336	6	2	CARDINAL
ejpam-4451	336	7	2	CARDINAL
ejpam-4451	336	8	g[h	ORG
ejpam-4451	338	1	⋃	PERSON
ejpam-4451	338	2	⊆	CARDINAL
ejpam-4451	338	3	tx	ORG
ejpam-4451	338	4	⊆	PRODUCT
ejpam-4451	338	5	2	CARDINAL
ejpam-4451	338	6	g[h	ORG
ejpam-4451	339	1	w	GPE
ejpam-4451	339	2	2	CARDINAL
ejpam-4451	339	3	g[h	ORG
ejpam-4451	340	1	w	ORG
ejpam-4451	340	2	2	CARDINAL
ejpam-4451	340	3	g[h	ORG
ejpam-4451	341	1	7	CARDINAL
ejpam-4451	342	1	w	GPE
ejpam-4451	342	2	2	CARDINAL
ejpam-4451	342	3	tx ̸=	ORG
ejpam-4451	343	1	w	ORG
ejpam-4451	343	2	g[h	ORG
ejpam-4451	344	1	w	GPE
ejpam-4451	344	2	2	CARDINAL
ejpam-4451	344	3	g[h	ORG
ejpam-4451	345	1	8	CARDINAL
ejpam-4451	348	1	8	CARDINAL
ejpam-4451	348	2	5	CARDINAL
ejpam-4451	348	3	letg andh	PERSON
ejpam-4451	350	1	3	CARDINAL
ejpam-4451	350	2	2	CARDINAL
ejpam-4451	351	1	1053	CARDINAL
ejpam-4451	389	1	3	CARDINAL
ejpam-4451	389	2	8	CARDINAL
ejpam-4451	389	3	mindanao	GPE
ejpam-4451	389	4	university-marawi	ORG
ejpam-4451	389	5	msu-iligan institute of technology	ORG
ejpam-4451	389	6	philippines	GPE
ejpam-4451	390	1	1	CARDINAL
ejpam-4451	392	1	39:341–355	CARDINAL
ejpam-4451	392	2	2019	DATE
ejpam-4451	393	1	2	CARDINAL
ejpam-4451	393	2	j estrada-moreno	PERSON
ejpam-4451	395	1	9:2829–2840	DATE
ejpam-4451	395	2	2015	DATE
ejpam-4451	396	1	3	CARDINAL
ejpam-4451	398	1	addison-wesley publishing company, usa, 1969	ORG
ejpam-4451	399	1	4	CARDINAL
ejpam-4451	401	1	2, 1976	DATE
ejpam-4451	402	1	5	CARDINAL
ejpam-4451	403	1	2	CARDINAL
ejpam-4451	404	1	european journal	ORG
ejpam-4451	404	2	14:773–782	CARDINAL
ejpam-4451	404	3	2021	CARDINAL
ejpam-4451	405	1	6	CARDINAL
ejpam-4451	405	2	j cabaro	PERSON
ejpam-4451	406	1	2	CARDINAL
ejpam-4451	406	2	two	CARDINAL
ejpam-4451	407	1	european journal	ORG
ejpam-4451	407	2	2022	CARDINAL
ejpam-4451	408	1	7	CARDINAL
ejpam-4451	408	2	j cabaro	PERSON
ejpam-4451	409	1	2	CARDINAL
ejpam-4451	409	2	two	CARDINAL
ejpam-4451	410	1	european journal	ORG
ejpam-4451	410	2	2022	CARDINAL
ejpam-4451	411	1	8	CARDINAL
ejpam-4451	414	1	australian	NORP
ejpam-4451	414	2	combinatorics	ORG
ejpam-4451	414	3	28:25–37,	DATE
ejpam-4451	414	4	2003	DATE
ejpam-4451	415	1	9	CARDINAL
ejpam-4451	416	1	congressus numerantium	PERSON
ejpam-4451	417	1	14:549–559, 1975	DATE