id	sid	eid	entity	type
ejpam-3421	1	1	european journal	ORG
ejpam-3421	2	1	12	CARDINAL
ejpam-3421	2	2	2	CARDINAL
ejpam-3421	2	3	2019	DATE
ejpam-3421	2	4	499-505	CARDINAL
ejpam-3421	2	5	new york	GPE
ejpam-3421	2	6	grace s. nianga1,∗	PERSON
ejpam-3421	2	7	sergio r. canoy	PERSON
ejpam-3421	2	8	mindanao state university-iligan institute of technology	ORG
ejpam-3421	2	9	9200	CARDINAL
ejpam-3421	2	10	iligan city	GPE
ejpam-3421	2	11	philippines	GPE
ejpam-3421	5	1	∈	ORG
ejpam-3421	5	2	n2 g(v	ORG
ejpam-3421	5	3	2	CARDINAL
ejpam-3421	6	1	τg	ORG
ejpam-3421	6	2	2	CARDINAL
ejpam-3421	6	3	n2	ORG
ejpam-3421	6	4	∈	ORG
ejpam-3421	6	5	6=	CARDINAL
ejpam-3421	7	1	cartesian	NORP
ejpam-3421	8	1	2010	DATE
ejpam-3421	8	2	05c76	CARDINAL
ejpam-3421	8	3	1	CARDINAL
ejpam-3421	10	1	d(u	PERSON
ejpam-3421	10	2	two	CARDINAL
ejpam-3421	11	1	n(v	ORG
ejpam-3421	11	2	n(v	ORG
ejpam-3421	12	1	⊆	CARDINAL
ejpam-3421	13	1	xa ∈	PERSON
ejpam-3421	14	1	n2 g(v	ORG
ejpam-3421	14	2	2	CARDINAL
ejpam-3421	14	3	n2 g(v	PERSON
ejpam-3421	15	1	⊆	CARDINAL
ejpam-3421	15	2	n2 g(a	ORG
ejpam-3421	16	1	∈	ORG
ejpam-3421	16	2	6=	CARDINAL
ejpam-3421	16	3	n2	ORG
ejpam-3421	16	4	2	CARDINAL
ejpam-3421	16	5	n2	ORG
ejpam-3421	16	6	2	CARDINAL
ejpam-3421	17	1	1983	DATE
ejpam-3421	17	2	5	CARDINAL
ejpam-3421	17	3	τg	ORG
ejpam-3421	18	1	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-3421	18	2	s. canoy jr.	PERSON
ejpam-3421	19	1	499	CARDINAL
ejpam-3421	19	2	2019	CARDINAL
ejpam-3421	20	1	c. nianga	PERSON
ejpam-3421	20	2	s. canoy / eur	PERSON
ejpam-3421	21	1	j. pure	PERSON
ejpam-3421	21	2	12	CARDINAL
ejpam-3421	21	3	2	CARDINAL
ejpam-3421	21	4	2019	CARDINAL
ejpam-3421	21	5	499-505 500	PERCENT
ejpam-3421	21	6	xa ∈	PERSON
ejpam-3421	22	1	2	CARDINAL
ejpam-3421	22	2	3	CARDINAL
ejpam-3421	22	3	6	CARDINAL
ejpam-3421	23	1	2	CARDINAL
ejpam-3421	24	1	1	CARDINAL
ejpam-3421	24	2	gimeno	PERSON
ejpam-3421	24	3	τg	ORG
ejpam-3421	24	4	ω(g	ORG
ejpam-3421	24	5	2	CARDINAL
ejpam-3421	24	6	⊆	CARDINAL
ejpam-3421	24	7	2	CARDINAL
ejpam-3421	24	8	2	CARDINAL
ejpam-3421	26	1	nianga et al	PERSON
ejpam-3421	26	2	4	CARDINAL
ejpam-3421	27	1	2	CARDINAL
ejpam-3421	27	2	⊆	CARDINAL
ejpam-3421	27	3	∈	ORG
ejpam-3421	28	1	8	CARDINAL
ejpam-3421	29	1	2	CARDINAL
ejpam-3421	29	2	1	CARDINAL
ejpam-3421	31	1	∈	ORG
ejpam-3421	32	1	1	CARDINAL
ejpam-3421	34	1		ORG
ejpam-3421	34	2	6=	CARDINAL
ejpam-3421	34	3	1	CARDINAL
ejpam-3421	36	1	∈	ORG
ejpam-3421	39	1	∈	ORG
ejpam-3421	40	1	6=	CARDINAL
ejpam-3421	41	1	6=	CARDINAL
ejpam-3421	41	2	∈	ORG
ejpam-3421	42	1	∈	ORG
ejpam-3421	42	2	2	CARDINAL
ejpam-3421	43	1	w ∈ a.	ORG
ejpam-3421	43	2	w ∈	ORG
ejpam-3421	43	3	∈	ORG
ejpam-3421	44	1	u /∈ ng(v	PERSON
ejpam-3421	44	2	w /∈	NORP
ejpam-3421	44	3	∈	ORG
ejpam-3421	45	1	6= 2	DATE
ejpam-3421	46	1	2	CARDINAL
ejpam-3421	48	1	⊆	CARDINAL
ejpam-3421	48	2	2	CARDINAL
ejpam-3421	50	1	6=	CARDINAL
ejpam-3421	53	1	∈	ORG
ejpam-3421	54	1	∈	ORG
ejpam-3421	55	1	∈	ORG
ejpam-3421	55	2	∈	ORG
ejpam-3421	56	1	∈	ORG
ejpam-3421	57	1	2	CARDINAL
ejpam-3421	58	1	∈	ORG
ejpam-3421	58	2	∈	ORG
ejpam-3421	59	1	⊆	CARDINAL
ejpam-3421	61	1	2	CARDINAL
ejpam-3421	65	1	2 g[v	QUANTITY
ejpam-3421	66	1	2 g[v	QUANTITY
ejpam-3421	68	1	c. nianga	PERSON
ejpam-3421	68	2	s. canoy / eur	PERSON
ejpam-3421	69	1	j. pure	PERSON
ejpam-3421	69	2	12	CARDINAL
ejpam-3421	69	3	2	CARDINAL
ejpam-3421	69	4	2019	CARDINAL
ejpam-3421	69	5	499	CARDINAL
ejpam-3421	69	6	505 501	CARDINAL
ejpam-3421	69	7	1	CARDINAL
ejpam-3421	70	1	17	CARDINAL
ejpam-3421	73	1	2	CARDINAL
ejpam-3421	74	1	2	CARDINAL
ejpam-3421	75	1	g1	ORG
ejpam-3421	75	2	g1	ORG
ejpam-3421	75	3	∈	ORG
ejpam-3421	76	1	3	CARDINAL
ejpam-3421	78	1	6=	CARDINAL
ejpam-3421	78	2	⊆	CARDINAL
ejpam-3421	78	3	6=	CARDINAL
ejpam-3421	78	4	⊆	CARDINAL
ejpam-3421	81	1	2	CARDINAL
ejpam-3421	84	1	6=	CARDINAL
ejpam-3421	84	2	⊆	CARDINAL
ejpam-3421	84	3	6=	CARDINAL
ejpam-3421	84	4	⊆	CARDINAL
ejpam-3421	86	1	∈	ORG
ejpam-3421	87	1	2	CARDINAL
ejpam-3421	88	1	⊆	CARDINAL
ejpam-3421	88	2	ng+h(a	PERSON
ejpam-3421	88	3	n2 g+h	PERSON
ejpam-3421	89	1	∈	ORG
ejpam-3421	90	1	2	CARDINAL
ejpam-3421	90	2	∈	ORG
ejpam-3421	97	1	2	CARDINAL
ejpam-3421	98	1	⊆	CARDINAL
ejpam-3421	100	1	4	CARDINAL
ejpam-3421	103	1	⊆	CARDINAL
ejpam-3421	103	2	6=	CARDINAL
ejpam-3421	103	3	6=	CARDINAL
ejpam-3421	107	1	c. nianga	PERSON
ejpam-3421	107	2	s. canoy / eur	PERSON
ejpam-3421	108	1	j. pure	PERSON
ejpam-3421	108	2	12	CARDINAL
ejpam-3421	108	3	2	CARDINAL
ejpam-3421	108	4	2019	CARDINAL
ejpam-3421	108	5	499-505 502	QUANTITY
ejpam-3421	109	1	⊆	CARDINAL
ejpam-3421	110	1	6=	CARDINAL
ejpam-3421	111	1	6=	CARDINAL
ejpam-3421	114	1	2	CARDINAL
ejpam-3421	118	1	3	CARDINAL
ejpam-3421	119	1	1	CARDINAL
ejpam-3421	122	1	∈	ORG
ejpam-3421	123	1	∈	ORG
ejpam-3421	123	2	∈	ORG
ejpam-3421	124	1	2	CARDINAL
ejpam-3421	124	2	3	CARDINAL
ejpam-3421	125	1	one	CARDINAL
ejpam-3421	125	2	5	CARDINAL
ejpam-3421	128	1	∈	ORG
ejpam-3421	128	2	2	CARDINAL
ejpam-3421	129	1	2	CARDINAL
ejpam-3421	129	2	⋃ v∈v	PERSON
ejpam-3421	129	3	∈	ORG
ejpam-3421	129	4	⋃ v∈v	PERSON
ejpam-3421	129	5	∈	ORG
ejpam-3421	129	6	3	CARDINAL
ejpam-3421	130	1	2	CARDINAL
ejpam-3421	132	1	6=	CARDINAL
ejpam-3421	133	1	1	CARDINAL
ejpam-3421	133	2	∈	ORG
ejpam-3421	134	1	∈	ORG
ejpam-3421	135	1	2	CARDINAL
ejpam-3421	137	1	∈	ORG
ejpam-3421	137	2	hu	PERSON
ejpam-3421	138	1	∈	ORG
ejpam-3421	138	2	hu	PERSON
ejpam-3421	138	3	◦h(a	ORG
ejpam-3421	138	4	2	CARDINAL
ejpam-3421	138	5	∈	PRODUCT
ejpam-3421	138	6	∈	ORG
ejpam-3421	139	1	2	CARDINAL
ejpam-3421	140	1	⊆	CARDINAL
ejpam-3421	140	2	2	CARDINAL
ejpam-3421	142	1	2	CARDINAL
ejpam-3421	142	2	w /∈ n2	NORP
ejpam-3421	146	1	2	CARDINAL
ejpam-3421	147	1	w ∈ ∪v∈v	NORP
ejpam-3421	148	1	∈	ORG
ejpam-3421	148	2	w ∈	ORG
ejpam-3421	149	1	h(w	PRODUCT
ejpam-3421	149	2	2	CARDINAL
ejpam-3421	150	1	2	CARDINAL
ejpam-3421	152	1	2	CARDINAL
ejpam-3421	152	2	⊆	CARDINAL
ejpam-3421	152	3	2	CARDINAL
ejpam-3421	154	1	2	CARDINAL
ejpam-3421	154	2	∈	ORG
ejpam-3421	156	1	w.	PERSON
ejpam-3421	156	2	∈	ORG
ejpam-3421	156	3	w	ORG
ejpam-3421	156	4	6= 1	DATE
ejpam-3421	156	5	2	CARDINAL
ejpam-3421	157	1	∈	ORG
ejpam-3421	158	1	∈	ORG
ejpam-3421	159	1	6=	CARDINAL
ejpam-3421	159	2	∈	ORG
ejpam-3421	159	3	∈	ORG
ejpam-3421	159	4	◦h(a	ORG
ejpam-3421	159	5	2	CARDINAL
ejpam-3421	160	1	w.	PERSON
ejpam-3421	160	2	∈	ORG
ejpam-3421	160	3	∈	ORG
ejpam-3421	161	1	∈	ORG
ejpam-3421	161	2	∪v∈v (g)\{w}v	ORG
ejpam-3421	162	1	s. canoy / eur	PERSON
ejpam-3421	163	1	j. pure	PERSON
ejpam-3421	163	2	12	CARDINAL
ejpam-3421	163	3	2	CARDINAL
ejpam-3421	163	4	2019	CARDINAL
ejpam-3421	163	5	499	CARDINAL
ejpam-3421	163	6	h(p	PRODUCT
ejpam-3421	163	7	1	CARDINAL
ejpam-3421	164	1	2	CARDINAL
ejpam-3421	166	1	h(p	PRODUCT
ejpam-3421	166	2	6= 1	DATE
ejpam-3421	167	1	6=	CARDINAL
ejpam-3421	167	2	◦h(a	ORG
ejpam-3421	167	3	6= 2	DATE
ejpam-3421	168	1	2	CARDINAL
ejpam-3421	170	1	∈	ORG
ejpam-3421	171	1	◦h(a	ORG
ejpam-3421	171	2	◦h(a	ORG
ejpam-3421	171	3	w	GPE
ejpam-3421	171	4	2 +	DATE
ejpam-3421	171	5	w	GPE
ejpam-3421	171	6	3	CARDINAL
ejpam-3421	171	7	2	CARDINAL
ejpam-3421	173	1	∪v∈v (g)\{w}v	ORG
ejpam-3421	174	1	⊆	CARDINAL
ejpam-3421	174	2	2	CARDINAL
ejpam-3421	177	1	4	CARDINAL
ejpam-3421	178	1	g[h	ORG
ejpam-3421	179	1	u = u′	ORG
ejpam-3421	179	2	∈ e(h	ORG
ejpam-3421	180	1	6	CARDINAL
ejpam-3421	182	1	two	CARDINAL
ejpam-3421	184	1	2	CARDINAL
ejpam-3421	184	2	2	CARDINAL
ejpam-3421	188	1	2	CARDINAL
ejpam-3421	188	2	1	CARDINAL
ejpam-3421	189	1	6=	CARDINAL
ejpam-3421	189	2	dg[h]((v	GPE
ejpam-3421	190	1	2	CARDINAL
ejpam-3421	190	2	∈	ORG
ejpam-3421	190	3	2	CARDINAL
ejpam-3421	191	1	∈	ORG
ejpam-3421	191	2	2	CARDINAL
ejpam-3421	193	1	2	CARDINAL
ejpam-3421	195	1	2	CARDINAL
ejpam-3421	195	2	6=	CARDINAL
ejpam-3421	197	1	2	CARDINAL
ejpam-3421	198	1	2	CARDINAL
ejpam-3421	198	2	2	CARDINAL
ejpam-3421	200	1	⊆	CARDINAL
ejpam-3421	200	2	2	CARDINAL
ejpam-3421	200	3	2	CARDINAL
ejpam-3421	202	1	2	CARDINAL
ejpam-3421	203	1	2	CARDINAL
ejpam-3421	203	2	2	CARDINAL
ejpam-3421	204	1	w	NORP
ejpam-3421	204	2	6=	CARDINAL
ejpam-3421	205	1	6= 2	DATE
ejpam-3421	207	1	⊆	CARDINAL
ejpam-3421	208	1	2	CARDINAL
ejpam-3421	211	1	2	CARDINAL
ejpam-3421	213	1	2	CARDINAL
ejpam-3421	214	1	2	CARDINAL
ejpam-3421	214	2	∈	ORG
ejpam-3421	214	3	2	CARDINAL
ejpam-3421	215	1	2	CARDINAL
ejpam-3421	216	1	⊆	CARDINAL
ejpam-3421	218	1	c. nianga	PERSON
ejpam-3421	218	2	s. canoy / eur	PERSON
ejpam-3421	219	1	j. pure	PERSON
ejpam-3421	219	2	12	CARDINAL
ejpam-3421	219	3	2	CARDINAL
ejpam-3421	219	4	2019	CARDINAL
ejpam-3421	219	5	499-505 504	QUANTITY
ejpam-3421	219	6	5	CARDINAL
ejpam-3421	220	1	cartesian	NORP
ejpam-3421	220	2	two	CARDINAL
ejpam-3421	221	1	two	CARDINAL
ejpam-3421	221	2	u2 = v2	PERSON
ejpam-3421	222	1	7	CARDINAL
ejpam-3421	225	1	2	CARDINAL
ejpam-3421	225	2	2	CARDINAL
ejpam-3421	230	1	2	CARDINAL
ejpam-3421	231	1	1	CARDINAL
ejpam-3421	232	1	6=	CARDINAL
ejpam-3421	233	1	2	CARDINAL
ejpam-3421	233	2	2	CARDINAL
ejpam-3421	235	1	2	CARDINAL
ejpam-3421	237	1	2	CARDINAL
ejpam-3421	237	2	6=	CARDINAL
ejpam-3421	237	3	1	CARDINAL
ejpam-3421	239	1	2	CARDINAL
ejpam-3421	239	2	2	CARDINAL
ejpam-3421	240	1	2	CARDINAL
ejpam-3421	241	1	2	CARDINAL
ejpam-3421	242	1	6=	CARDINAL
ejpam-3421	242	2	∈	ORG
ejpam-3421	243	1	∈	ORG
ejpam-3421	244	1	2	CARDINAL
ejpam-3421	245	1	∈	ORG
ejpam-3421	247	1	∈	ORG
ejpam-3421	250	1	∈	ORG
ejpam-3421	252	1	⊆	CARDINAL
ejpam-3421	252	2	2	CARDINAL
ejpam-3421	252	3	2	CARDINAL
ejpam-3421	254	1	2	CARDINAL
ejpam-3421	256	1	6=	CARDINAL
ejpam-3421	256	2	6= 2	DATE
ejpam-3421	257	1	6=	CARDINAL
ejpam-3421	258	1	6= 2	DATE
ejpam-3421	260	1	2	CARDINAL
ejpam-3421	260	2	6=	CARDINAL
ejpam-3421	260	3	2	CARDINAL
ejpam-3421	260	4	6= 2	DATE
ejpam-3421	262	1	1	CARDINAL
ejpam-3421	262	2	2	CARDINAL
ejpam-3421	263	1	6=	CARDINAL
ejpam-3421	263	2	dk((y	GPE
ejpam-3421	264	1	3	CARDINAL
ejpam-3421	267	1	2	CARDINAL
ejpam-3421	267	2	1	CARDINAL
ejpam-3421	268	1	dk((z	GPE
ejpam-3421	269	1	3	CARDINAL
ejpam-3421	271	1	2	CARDINAL
ejpam-3421	271	2	2	CARDINAL
ejpam-3421	272	1	⊆	CARDINAL
ejpam-3421	272	2	2	CARDINAL
ejpam-3421	274	1	505	CARDINAL
ejpam-3421	274	2	the philippine department of science	ORG
ejpam-3421	274	3	dostasthrdp	ORG
ejpam-3421	274	4	mindanao state university-iligan institute of technology	ORG
ejpam-3421	275	1	1	CARDINAL
ejpam-3421	275	2	s. canoy	PERSON
ejpam-3421	275	3	j. gimeno	PERSON
ejpam-3421	277	1	1:17–19, 2004	DATE
ejpam-3421	278	1	2	CARDINAL
ejpam-3421	278	2	s. canoy	PERSON
ejpam-3421	278	3	r. lemence	PERSON
ejpam-3421	280	1	matimyas matematika	PERSON
ejpam-3421	280	2	21:1–7	CARDINAL
ejpam-3421	280	3	1998	DATE
ejpam-3421	281	1	3	CARDINAL
ejpam-3421	281	2	s. canoy	PERSON
ejpam-3421	281	3	r. lemence	PERSON
ejpam-3421	283	1	2:45–50, 1999	DATE
ejpam-3421	284	1	4	CARDINAL
ejpam-3421	284	2	s. canoy	PERSON
ejpam-3421	284	3	c. g. nianga	PERSON
ejpam-3421	286	1	5	CARDINAL
ejpam-3421	286	2	s. diesto and	PERSON
ejpam-3421	286	3	s. gervacio	PERSON
ejpam-3421	288	1	journal of research and development	ORG
ejpam-3421	288	2	msu-iit	ORG
ejpam-3421	288	3	1:76–81, 1983	DATE
ejpam-3421	289	1	6	CARDINAL
ejpam-3421	289	2	r. guerrero	PERSON
ejpam-3421	289	3	s. gervacio.	PERSON
ejpam-3421	291	1	matimyas matematika	PERSON
ejpam-3421	291	2	1:11–15, 1989	DATE
ejpam-3421	292	1	7	CARDINAL
ejpam-3421	292	2	f. harary	PERSON
ejpam-3421	294	1	addison-wesley publishing company, usa, 1969	ORG
ejpam-3421	295	1	8	CARDINAL
ejpam-3421	295	2	s. lipschutz	PERSON
ejpam-3421	296	1	schaum	ORG
ejpam-3421	297	1	mcgraw hill international publishing co.	ORG
ejpam-3421	297	2	1987	DATE