id	sid	eid	entity	type
ejpam-4848	1	1	european journal	ORG
ejpam-4848	2	1	16	CARDINAL
ejpam-4848	2	2	3	CARDINAL
ejpam-4848	2	3	2023	CARDINAL
ejpam-4848	2	4	1406	CARDINAL
ejpam-4848	2	5	1420	CARDINAL
ejpam-4848	2	6	new york	GPE
ejpam-4848	2	7	alfeche1	PERSON
ejpam-4848	2	8	sergio canoy	PERSON
ejpam-4848	2	9	1	CARDINAL
ejpam-4848	2	10	9200	CARDINAL
ejpam-4848	2	11	iligan city	GPE
ejpam-4848	2	12	philippines 2 department of arts	ORG
ejpam-4848	2	13	leyte	ORG
ejpam-4848	2	14	3	CARDINAL
ejpam-4848	2	15	msu-iligan institute of technology	ORG
ejpam-4848	2	16	9200	CARDINAL
ejpam-4848	2	17	iligan city	GPE
ejpam-4848	2	18	philippines	GPE
ejpam-4848	5	1	2020	DATE
ejpam-4848	5	2	05c69	CARDINAL
ejpam-4848	5	3	1	CARDINAL
ejpam-4848	7	1	4	CARDINAL
ejpam-4848	7	2	some decades ago	DATE
ejpam-4848	8	1	6	CARDINAL
ejpam-4848	9	1	8	CARDINAL
ejpam-4848	9	2	eigen vector	ORG
ejpam-4848	10	1	one	CARDINAL
ejpam-4848	10	2	1	CARDINAL
ejpam-4848	10	3	2	CARDINAL
ejpam-4848	10	4	5	CARDINAL
ejpam-4848	12	1	fareneloida.alfeche@g.msuiit.edu.ph	ORG
ejpam-4848	12	2	f. alfeche	PERSON
ejpam-4848	12	3	victor.barraza@vsu.edu.ph	ORG
ejpam-4848	12	4	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-4848	12	5	s. canoy	PERSON
ejpam-4848	13	1	2023	CARDINAL
ejpam-4848	14	1	f. alfeche	PERSON
ejpam-4848	14	2	v. barraza	PERSON
ejpam-4848	14	3	s. canoy, jr.	PERSON
ejpam-4848	15	1	j. pure	PERSON
ejpam-4848	15	2	16	CARDINAL
ejpam-4848	15	3	3	CARDINAL
ejpam-4848	15	4	2023	CARDINAL
ejpam-4848	15	5	1406-1420 1407	DATE
ejpam-4848	17	1	6	CARDINAL
ejpam-4848	18	1	4	CARDINAL
ejpam-4848	18	2	bipartite	ORG
ejpam-4848	20	1	3	CARDINAL
ejpam-4848	20	2	cartesian	NORP
ejpam-4848	22	1	2.	CARDINAL
ejpam-4848	22	2	1	CARDINAL
ejpam-4848	23	1	∈	ORG
ejpam-4848	25	1	1	CARDINAL
ejpam-4848	27	1	w ∈	PERSON
ejpam-4848	27	2	1	CARDINAL
ejpam-4848	28	1	2	CARDINAL
ejpam-4848	30	1	∈	ORG
ejpam-4848	31	1	3	CARDINAL
ejpam-4848	33	1	m.	PERSON
ejpam-4848	33	2	∈	ORG
ejpam-4848	34	1	1	CARDINAL
ejpam-4848	35	1	4	CARDINAL
ejpam-4848	36	1	s(g	PERSON
ejpam-4848	36	2	two	CARDINAL
ejpam-4848	36	3	g1	ORG
ejpam-4848	36	4	∈	ORG
ejpam-4848	36	5	g1	ORG
ejpam-4848	36	6	g. f. alfeche	PERSON
ejpam-4848	36	7	v. barraza	PERSON
ejpam-4848	36	8	s. canoy, jr.	PERSON
ejpam-4848	37	1	j. pure	PERSON
ejpam-4848	37	2	16	CARDINAL
ejpam-4848	37	3	3	CARDINAL
ejpam-4848	37	4	2023	CARDINAL
ejpam-4848	37	5	1406-1420 1408	DATE
ejpam-4848	54	1	v1 v2 v3 v4	PERSON
ejpam-4848	54	2	1	CARDINAL
ejpam-4848	54	3	5	CARDINAL
ejpam-4848	55	1	two	CARDINAL
ejpam-4848	56	1	g ⋄ h of g and h	ORG
ejpam-4848	56	2	one	CARDINAL
ejpam-4848	56	3	two	CARDINAL
ejpam-4848	94	1	2	CARDINAL
ejpam-4848	94	2	c5 ⋄	ORG
ejpam-4848	94	3	6	CARDINAL
ejpam-4848	95	1	∈	ORG
ejpam-4848	95	2	3	CARDINAL
ejpam-4848	95	3	f. alfeche	PERSON
ejpam-4848	95	4	v. barraza	PERSON
ejpam-4848	95	5	s. canoy, jr.	PERSON
ejpam-4848	96	1	j. pure	PERSON
ejpam-4848	96	2	16	CARDINAL
ejpam-4848	96	3	3	CARDINAL
ejpam-4848	96	4	2023	CARDINAL
ejpam-4848	96	5	1406-1420 1409	DATE
ejpam-4848	96	6	7	DATE
ejpam-4848	97	1	g ∨ h	ORG
ejpam-4848	97	2	xy ∈	PERSON
ejpam-4848	97	3	pq ∈ e(h	ORG
ejpam-4848	98	1	3	CARDINAL
ejpam-4848	98	2	g1	ORG
ejpam-4848	98	3	s(g	PERSON
ejpam-4848	99	1	1	CARDINAL
ejpam-4848	100	1	w ∈	PERSON
ejpam-4848	100	2	g1	ORG
ejpam-4848	101	1	w	GPE
ejpam-4848	101	2	w′	PERSON
ejpam-4848	102	1	1	CARDINAL
ejpam-4848	104	1	g1	ORG
ejpam-4848	104	2	ds(g)(p	DATE
ejpam-4848	104	3	ds(g)(p ′	DATE
ejpam-4848	104	4	2	CARDINAL
ejpam-4848	107	1	∈	ORG
ejpam-4848	108	1	w	GPE
ejpam-4848	108	2	s(g	DATE
ejpam-4848	109	1	ds(g)(p	DATE
ejpam-4848	110	1	2	CARDINAL
ejpam-4848	111	1	g1	ORG
ejpam-4848	112	1	p′1	ORG
ejpam-4848	112	2	2	CARDINAL
ejpam-4848	114	1	s(g	PERSON
ejpam-4848	115	1	2	CARDINAL
ejpam-4848	115	2	3	CARDINAL
ejpam-4848	116	1	s(g	DATE
ejpam-4848	117	1	ds(g)(p	DATE
ejpam-4848	118	1	ds(g)(p	DATE
ejpam-4848	118	2	ds(g)(p ′	DATE
ejpam-4848	119	1	4	CARDINAL
ejpam-4848	132	1	4	CARDINAL
ejpam-4848	132	2	ds(g)(p	DATE
ejpam-4848	132	3	2	CARDINAL
ejpam-4848	132	4	ds(g)(p	DATE
ejpam-4848	133	1	ds(g)(p ′	DATE
ejpam-4848	134	1	3	CARDINAL
ejpam-4848	134	2	1	CARDINAL
ejpam-4848	136	1	g1	ORG
ejpam-4848	136	2	τs(g)(p	PERSON
ejpam-4848	137	1	+ 2	DATE
ejpam-4848	137	2	2(τg2(p ′	DATE
ejpam-4848	138	1	+ 2	DATE
ejpam-4848	138	2	f. alfeche	PERSON
ejpam-4848	138	3	v. barraza	PERSON
ejpam-4848	138	4	s. canoy, jr.	PERSON
ejpam-4848	139	1	j. pure	PERSON
ejpam-4848	139	2	16	CARDINAL
ejpam-4848	139	3	3	CARDINAL
ejpam-4848	139	4	2023	CARDINAL
ejpam-4848	139	5	1406-1420 1410	DATE
ejpam-4848	140	1	g1	ORG
ejpam-4848	141	1	τs(g)(p	PERSON
ejpam-4848	142	1	s(g	PERSON
ejpam-4848	143	1	ds(g)(p	DATE
ejpam-4848	143	2	g1	ORG
ejpam-4848	143	3	ds(g)(p	DATE
ejpam-4848	143	4	ds(g)(p	DATE
ejpam-4848	144	1	g1	ORG
ejpam-4848	145	1	+ 2 = 2τg1(p	DATE
ejpam-4848	145	2	+ 2	DATE
ejpam-4848	145	3	τs(g)(p	PERSON
ejpam-4848	146	1	2τg2(p ′	DATE
ejpam-4848	147	1	1	CARDINAL
ejpam-4848	147	2	3	CARDINAL
ejpam-4848	148	1	g1	ORG
ejpam-4848	151	1	2m− 1 2(τg1(p	DATE
ejpam-4848	152	1	+ 2 and cs(g)(p ′	DATE
ejpam-4848	154	1	2m−	CARDINAL
ejpam-4848	155	1	+ 2	DATE
ejpam-4848	156	1	1	CARDINAL
ejpam-4848	156	2	5	CARDINAL
ejpam-4848	168	1	•	CARDINAL
ejpam-4848	168	2	g1	ORG
ejpam-4848	168	3	5	CARDINAL
ejpam-4848	168	4	∈	PRODUCT
ejpam-4848	168	5	5	CARDINAL
ejpam-4848	169	1	7	CARDINAL
ejpam-4848	169	2	1	CARDINAL
ejpam-4848	169	3	cs(g)(p ′	DATE
ejpam-4848	171	1	2m− 1 2τg2(p ′	DATE
ejpam-4848	172	1	2(5)− 1 2(7	DATE
ejpam-4848	172	2	10−	CARDINAL
ejpam-4848	172	3	f. alfeche	PERSON
ejpam-4848	172	4	v. barraza	PERSON
ejpam-4848	172	5	s. canoy, jr.	PERSON
ejpam-4848	173	1	j. pure	PERSON
ejpam-4848	173	2	16	CARDINAL
ejpam-4848	173	3	3	CARDINAL
ejpam-4848	173	4	2023	CARDINAL
ejpam-4848	173	5	1406-1420 1411	DATE
ejpam-4848	173	6	9 16	DATE
ejpam-4848	174	1	∈	ORG
ejpam-4848	175	1	∈	ORG
ejpam-4848	176	1	2	CARDINAL
ejpam-4848	178	1	∈	ORG
ejpam-4848	181	1	∈	ORG
ejpam-4848	182	1	+ 1	DATE
ejpam-4848	182	2	∈	ORG
ejpam-4848	191	1	2	CARDINAL
ejpam-4848	191	2	2	CARDINAL
ejpam-4848	193	1	∈	ORG
ejpam-4848	193	2	m+	CARDINAL
ejpam-4848	193	3	1	CARDINAL
ejpam-4848	194	1	+ rn+	GPE
ejpam-4848	196	1	2	CARDINAL
ejpam-4848	196	2	∈	ORG
ejpam-4848	196	3	6	CARDINAL
ejpam-4848	197	1	4	CARDINAL
ejpam-4848	197	2	5	CARDINAL
ejpam-4848	197	3	4	CARDINAL
ejpam-4848	198	1	2	CARDINAL
ejpam-4848	198	2	2	CARDINAL
ejpam-4848	198	3	2	CARDINAL
ejpam-4848	198	4	∈	ORG
ejpam-4848	198	5	m+ qn− 1	DATE
ejpam-4848	199	1	5)(4	CARDINAL
ejpam-4848	200	1	5)(2	CARDINAL
ejpam-4848	200	2	f. alfeche	PERSON
ejpam-4848	200	3	v. barraza	PERSON
ejpam-4848	200	4	s. canoy, jr.	PERSON
ejpam-4848	201	1	j. pure	PERSON
ejpam-4848	201	2	16	CARDINAL
ejpam-4848	201	3	3	CARDINAL
ejpam-4848	201	4	2023	CARDINAL
ejpam-4848	201	5	1406-1420 1412	DATE
ejpam-4848	223	1	..........	PERSON
ejpam-4848	297	1	6	CARDINAL
ejpam-4848	297	2	∈	ORG
ejpam-4848	298	1	23 34	DATE
ejpam-4848	299	1	∈	ORG
ejpam-4848	299	2	dg(z	PERSON
ejpam-4848	299	3	e′ ∈	GPE
ejpam-4848	300	1	e′ ∈	GPE
ejpam-4848	300	2	|ev	PERSON
ejpam-4848	300	3	2	CARDINAL
ejpam-4848	300	4	3	CARDINAL
ejpam-4848	302	1	∈	ORG
ejpam-4848	304	1	+ 2|v	CARDINAL
ejpam-4848	306	1	∑ e′∈ev	PERSON
ejpam-4848	308	1	∈	ORG
ejpam-4848	310	1	∑ e′∈e(g	PERSON
ejpam-4848	310	2	∑ q∈v	PERSON
ejpam-4848	311	1	1 +	CARDINAL
ejpam-4848	312	1	1 +	DATE
ejpam-4848	313	1	f. alfeche	PERSON
ejpam-4848	313	2	v. barraza	PERSON
ejpam-4848	313	3	s. canoy, jr.	PERSON
ejpam-4848	314	1	j. pure	PERSON
ejpam-4848	314	2	16	CARDINAL
ejpam-4848	314	3	3	CARDINAL
ejpam-4848	314	4	2023	CARDINAL
ejpam-4848	314	5	1406-1420 1413	DATE
ejpam-4848	314	6	q∈nhe	TIME
ejpam-4848	315	1	e′∈ev	ORG
ejpam-4848	315	2	∑ q∈v	PERSON
ejpam-4848	316	1	1 +	CARDINAL
ejpam-4848	317	1	1 +	DATE
ejpam-4848	318	1	− |nh	PERSON
ejpam-4848	320	1	2 +	DATE
ejpam-4848	321	1	∑ e′∈ev	PERSON
ejpam-4848	321	2	2 +	DATE
ejpam-4848	322	1	1 +	CARDINAL
ejpam-4848	323	1	1 +	DATE
ejpam-4848	324	1	+ 2	DATE
ejpam-4848	324	2	2 +	DATE
ejpam-4848	325	1	2|v	CARDINAL
ejpam-4848	325	2	∑ e′∈ev	PERSON
ejpam-4848	325	3	2 +	DATE
ejpam-4848	326	1	2|v	CARDINAL
ejpam-4848	326	2	∑ e′∈ev	PERSON
ejpam-4848	326	3	∑ x∈vu≤v	PERSON
ejpam-4848	326	4	1 +	CARDINAL
ejpam-4848	327	1	∑ x∈vu≤v	PERSON
ejpam-4848	327	2	∑ x∈vv	PERSON
ejpam-4848	327	3	1 +	DATE
ejpam-4848	327	4	∑ x∈vv	PERSON
ejpam-4848	330	1	2|v	ORG
ejpam-4848	330	2	2|nh(p)|	CARDINAL
ejpam-4848	332	1	∑ e′∈ev	PERSON
ejpam-4848	333	1	∑ x∈vv	PERSON
ejpam-4848	333	2	2|v	CARDINAL
ejpam-4848	333	3	− |nh(p)|+ 2|v (	ORG
ejpam-4848	333	4	|ev	PERSON
ejpam-4848	335	1	∑ e′∈ev	PERSON
ejpam-4848	336	1	2|v	CARDINAL
ejpam-4848	336	2	− |nh(p)|+	ORG
ejpam-4848	338	1	f. alfeche	PERSON
ejpam-4848	338	2	v. barraza	PERSON
ejpam-4848	338	3	s. canoy, jr.	PERSON
ejpam-4848	339	1	j. pure	PERSON
ejpam-4848	339	2	16	CARDINAL
ejpam-4848	339	3	3	CARDINAL
ejpam-4848	339	4	2023	CARDINAL
ejpam-4848	339	5	1406-1420 1414	DATE
ejpam-4848	342	1	∑ e′∈ev	PERSON
ejpam-4848	347	1	∑ e′∈ev	PERSON
ejpam-4848	348	1	3	CARDINAL
ejpam-4848	348	2	3	CARDINAL
ejpam-4848	348	3	letg andh	PERSON
ejpam-4848	348	4	∈	ORG
ejpam-4848	349	1	m+	CARDINAL
ejpam-4848	349	2	1	CARDINAL
ejpam-4848	349	3	3	CARDINAL
ejpam-4848	350	1	3	CARDINAL
ejpam-4848	350	2	∈	ORG
ejpam-4848	350	3	7	CARDINAL
ejpam-4848	351	1	4	CARDINAL
ejpam-4848	351	2	4	CARDINAL
ejpam-4848	351	3	5	CARDINAL
ejpam-4848	351	4	1	CARDINAL
ejpam-4848	351	5	∑ x∈vu≤v	PERSON
ejpam-4848	351	6	1	CARDINAL
ejpam-4848	351	7	∑ x∈vv	PERSON
ejpam-4848	351	8	1,∑	CARDINAL
ejpam-4848	351	9	1	CARDINAL
ejpam-4848	351	10	∑ e′∈ev	PERSON
ejpam-4848	352	1	0	CARDINAL
ejpam-4848	352	2	3	CARDINAL
ejpam-4848	352	3	23 48	DATE
ejpam-4848	375	1	..........	PERSON
ejpam-4848	449	1	•p u	PERSON
ejpam-4848	449	2	7	CARDINAL
ejpam-4848	449	3	c4 ⋄	ORG
ejpam-4848	449	4	2	CARDINAL
ejpam-4848	452	1	1	CARDINAL
ejpam-4848	452	2	2	CARDINAL
ejpam-4848	452	3	2 3	DATE
ejpam-4848	452	4	3	CARDINAL
ejpam-4848	452	5	f. alfeche	PERSON
ejpam-4848	452	6	v. barraza	PERSON
ejpam-4848	452	7	s. canoy, jr.	PERSON
ejpam-4848	453	1	j. pure	PERSON
ejpam-4848	453	2	16	CARDINAL
ejpam-4848	453	3	3	CARDINAL
ejpam-4848	453	4	2023	CARDINAL
ejpam-4848	453	5	1406-1420 1415	DATE
ejpam-4848	454	1	1 ≤	CARDINAL
ejpam-4848	454	2	3	CARDINAL
ejpam-4848	455	1	3	CARDINAL
ejpam-4848	458	1	3	CARDINAL
ejpam-4848	458	2	3	CARDINAL
ejpam-4848	460	1	1	CARDINAL
ejpam-4848	460	2	2	CARDINAL
ejpam-4848	461	1	1	CARDINAL
ejpam-4848	464	1	dgg(v	PERSON
ejpam-4848	465	1	2	CARDINAL
ejpam-4848	465	2	4	CARDINAL
ejpam-4848	468	1	1	CARDINAL
ejpam-4848	468	2	2	CARDINAL
ejpam-4848	469	1	3	CARDINAL
ejpam-4848	470	1	dgg(v	PERSON
ejpam-4848	470	2	1	CARDINAL
ejpam-4848	472	1	2	CARDINAL
ejpam-4848	472	2	g)\ng[x])∩(v	PERSON
ejpam-4848	474	1	v̄	GPE
ejpam-4848	474	2	z̄	GPE
ejpam-4848	476	1	2	CARDINAL
ejpam-4848	478	1	first	ORDINAL
ejpam-4848	481	1	q.	PERSON
ejpam-4848	481	2	∈	ORG
ejpam-4848	482	1	dgg(v	PERSON
ejpam-4848	482	2	3	CARDINAL
ejpam-4848	484	1	3	CARDINAL
ejpam-4848	485	1	n2 g(v	ORG
ejpam-4848	485	2	w ∈	PERSON
ejpam-4848	485	3	2	CARDINAL
ejpam-4848	486	1	4	CARDINAL
ejpam-4848	488	1	∈	ORG
ejpam-4848	489	1	2	CARDINAL
ejpam-4848	489	2	degg(v)− |n2 g(v)|	ORG
ejpam-4848	489	3	4	CARDINAL
ejpam-4848	489	4	f. alfeche	PERSON
ejpam-4848	489	5	v. barraza	PERSON
ejpam-4848	489	6	s. canoy, jr.	PERSON
ejpam-4848	490	1	j. pure	PERSON
ejpam-4848	490	2	16	CARDINAL
ejpam-4848	490	3	3	CARDINAL
ejpam-4848	490	4	2023	CARDINAL
ejpam-4848	490	5	1406	CARDINAL
ejpam-4848	491	1	∈	ORG
ejpam-4848	494	1	∑ x∈ng(v) dgg(v	PERSON
ejpam-4848	499	1	+ dgg(v	GPE
ejpam-4848	499	2	2|n2	CARDINAL
ejpam-4848	499	3	3(|v	CARDINAL
ejpam-4848	499	4	− |n2 g(v)|	ORG
ejpam-4848	500	1	2|n2	CARDINAL
ejpam-4848	500	2	3|v	CARDINAL
ejpam-4848	500	3	3ng[v]−	CARDINAL
ejpam-4848	501	1	2|v	CARDINAL
ejpam-4848	502	1	2|n2	CARDINAL
ejpam-4848	502	2	3|v	CARDINAL
ejpam-4848	502	3	3(|ng(v)|+	CARDINAL
ejpam-4848	502	4	3|n2	CARDINAL
ejpam-4848	503	1	1	CARDINAL
ejpam-4848	503	2	2|n2	CARDINAL
ejpam-4848	503	3	3|v	CARDINAL
ejpam-4848	503	4	3|ng(v)|	CARDINAL
ejpam-4848	503	5	3− 3|n2	DATE
ejpam-4848	504	1	2	CARDINAL
ejpam-4848	504	2	degg(v)− |n2 g(v)|	ORG
ejpam-4848	505	1	4	CARDINAL
ejpam-4848	510	1	1 5|v	CARDINAL
ejpam-4848	510	2	2	CARDINAL
ejpam-4848	510	3	degg(v)− |n2 g(v)|	ORG
ejpam-4848	511	1	4	CARDINAL
ejpam-4848	512	1	4	CARDINAL
ejpam-4848	512	2	p4p 4	PERSON
ejpam-4848	512	3	∈	ORG
ejpam-4848	512	4	8	CARDINAL
ejpam-4848	513	1	4	CARDINAL
ejpam-4848	513	2	8	CARDINAL
ejpam-4848	513	3	n2 g(v	ORG
ejpam-4848	514	1	4	CARDINAL
ejpam-4848	515	1	1 5|v	CARDINAL
ejpam-4848	515	2	2	CARDINAL
ejpam-4848	515	3	degg(v)− |n2 g(v)|	ORG
ejpam-4848	515	4	4	CARDINAL
ejpam-4848	515	5	2(1)−	CARDINAL
ejpam-4848	515	6	1− 4	TIME
ejpam-4848	515	7	7 20− 2−	DATE
ejpam-4848	515	8	7 13	DATE
ejpam-4848	516	1	∈	ORG
ejpam-4848	516	2	n0 g(v	ORG
ejpam-4848	516	3	f. alfeche	PERSON
ejpam-4848	516	4	v. barraza	PERSON
ejpam-4848	516	5	s. canoy, jr.	PERSON
ejpam-4848	517	1	j. pure	PERSON
ejpam-4848	517	2	16	CARDINAL
ejpam-4848	517	3	3	CARDINAL
ejpam-4848	517	4	2023	CARDINAL
ejpam-4848	517	5	1406-1420 1417	DATE
ejpam-4848	517	6	8	CARDINAL
ejpam-4848	517	7	p4p 4	PERSON
ejpam-4848	517	8	∈	ORG
ejpam-4848	517	9	n0 g(v	ORG
ejpam-4848	518	1	∈	ORG
ejpam-4848	519	1	∈	ORG
ejpam-4848	521	1	5	CARDINAL
ejpam-4848	523	1	τgg(v	ORG
ejpam-4848	524	1	3|v	CARDINAL
ejpam-4848	524	2	g(v)| − 2	PERSON
ejpam-4848	528	1	+ dgg(v	GPE
ejpam-4848	532	1	2(|v	CARDINAL
ejpam-4848	533	1	2|v	CARDINAL
ejpam-4848	533	2	g(v)|	PERSON
ejpam-4848	534	1	g(v)| = 3|v	PERSON
ejpam-4848	534	2	g(v)| − 2	PERSON
ejpam-4848	534	3	3|v	CARDINAL
ejpam-4848	534	4	g(v)| − 2	PERSON
ejpam-4848	537	1	2m−	CARDINAL
ejpam-4848	537	2	1 3|v	CARDINAL
ejpam-4848	537	3	g(v)| − 2	PERSON
ejpam-4848	538	1	f. alfeche	PERSON
ejpam-4848	538	2	v. barraza	PERSON
ejpam-4848	538	3	s. canoy, jr.	PERSON
ejpam-4848	539	1	j. pure	PERSON
ejpam-4848	539	2	16	CARDINAL
ejpam-4848	539	3	3	CARDINAL
ejpam-4848	539	4	2023	CARDINAL
ejpam-4848	539	5	1406-1420 1418	DATE
ejpam-4848	539	6	5	CARDINAL
ejpam-4848	540	1	p4p 4	PERSON
ejpam-4848	540	2	∈	ORG
ejpam-4848	540	3	9	CARDINAL
ejpam-4848	543	1	4	CARDINAL
ejpam-4848	543	2	8	CARDINAL
ejpam-4848	543	3	1	CARDINAL
ejpam-4848	543	4	0	CARDINAL
ejpam-4848	543	5	5	CARDINAL
ejpam-4848	544	1	2m−	CARDINAL
ejpam-4848	544	2	1 3|v	CARDINAL
ejpam-4848	544	3	g(v)| − 2	PERSON
ejpam-4848	544	4	1 3(4	CARDINAL
ejpam-4848	545	1	7 11	DATE
ejpam-4848	546	1	9	CARDINAL
ejpam-4848	546	2	p4p 4	PERSON
ejpam-4848	546	3	∈	ORG
ejpam-4848	546	4	5	CARDINAL
ejpam-4848	546	5	letg andh	PERSON
ejpam-4848	549	1	1	CARDINAL
ejpam-4848	549	2	pq ∈ e(h	ORG
ejpam-4848	549	3	2	CARDINAL
ejpam-4848	553	1	1	CARDINAL
ejpam-4848	553	2	xy ∈	PERSON
ejpam-4848	554	1	xy /∈ e(g	PERSON
ejpam-4848	554	2	pq /∈ e(h	ORG
ejpam-4848	555	1	∈	ORG
ejpam-4848	556	1	p)(z	GPE
ejpam-4848	556	2	r)(y	ORG
ejpam-4848	557	1	g ∨ h.	ORG
ejpam-4848	559	1	2	CARDINAL
ejpam-4848	559	2	6	CARDINAL
ejpam-4848	562	1	2	CARDINAL
ejpam-4848	564	1	3	CARDINAL
ejpam-4848	564	2	5	CARDINAL
ejpam-4848	565	1	p)(y	ORG
ejpam-4848	565	2	∑ y∈v	PERSON
ejpam-4848	565	3	1419	CARDINAL
ejpam-4848	566	1	p)(x	ORG
ejpam-4848	567	1	y∈v	TIME
ejpam-4848	567	2	− |nh(p)|	ORG
ejpam-4848	567	3	1	CARDINAL
ejpam-4848	567	4	m−	NORP
ejpam-4848	567	5	− 1	PERSON
ejpam-4848	567	6	1	CARDINAL
ejpam-4848	567	7	|ng(x)||nh(p)|	CARDINAL
ejpam-4848	567	8	2|nh(p)|	CARDINAL
ejpam-4848	568	1	2 + 2mn−	QUANTITY
ejpam-4848	568	2	2n|ng(x)|	CARDINAL
ejpam-4848	568	3	2m|nh(p)|+	CARDINAL
ejpam-4848	568	4	2|ng(x)||nh(p)|	TIME
ejpam-4848	568	5	2n+ 2|nh(p)|	CARDINAL
ejpam-4848	568	6	|ng(x)||nh(p)|	CARDINAL
ejpam-4848	569	1	2	CARDINAL
ejpam-4848	569	2	2	CARDINAL
ejpam-4848	569	3	6	CARDINAL
ejpam-4848	569	4	letg andh	PERSON
ejpam-4848	571	1	1	CARDINAL
ejpam-4848	571	2	2	CARDINAL
ejpam-4848	572	1	6	CARDINAL
ejpam-4848	575	1	g ∨ h	ORG
ejpam-4848	576	1	6	CARDINAL
ejpam-4848	576	2	9	CARDINAL
ejpam-4848	576	3	1	CARDINAL
ejpam-4848	576	4	2	CARDINAL
ejpam-4848	577	1	8 9 .	DATE
ejpam-4848	578	1	4	CARDINAL
ejpam-4848	582	1	msu-iligan institute of technology	ORG
ejpam-4848	582	2	philippines	GPE
ejpam-4848	582	3	visayas state university	ORG
ejpam-4848	582	4	philippines	GPE
ejpam-4848	583	1	1	CARDINAL
ejpam-4848	585	1	27:55–71, 2005	DATE
ejpam-4848	586	1	2	CARDINAL
ejpam-4848	586	2	van den heuvel	PERSON
ejpam-4848	588	1	17(12):683–696	GPE
ejpam-4848	588	2	2013	DATE
ejpam-4848	589	1	1420	CARDINAL
ejpam-4848	589	2	3	CARDINAL
ejpam-4848	589	3	c. m. balingit	PERSON
ejpam-4848	589	4	i. cabahug jr.	PERSON
ejpam-4848	589	5	a. flores	PERSON
ejpam-4848	589	6	s. lumpayao	PERSON
ejpam-4848	589	7	b. peñalosa	PERSON
ejpam-4848	589	8	g. tampipi	PERSON
ejpam-4848	589	9	c. villarta	PERSON
ejpam-4848	591	1	2023	CARDINAL
ejpam-4848	592	1	4	CARDINAL
ejpam-4848	594	1	contemporary mathematical sciences	ORG
ejpam-4848	594	2	16(4):127–134	DATE
ejpam-4848	594	3	2021	DATE
ejpam-4848	595	1	5	CARDINAL
ejpam-4848	596	1	25–44, 2013	DATE
ejpam-4848	597	1	6	CARDINAL
ejpam-4848	597	2	w chen k okamoto	PERSON
ejpam-4848	597	3	x li	PERSON
ejpam-4848	598	1	186–195, 2008	DATE
ejpam-4848	601	1	2009	DATE
ejpam-4848	602	1	8	CARDINAL
ejpam-4848	602	2	j zhang	PERSON
ejpam-4848	602	3	y luo	PERSON
ejpam-4848	603	1	2nd	ORDINAL
ejpam-4848	603	2	300–303	CARDINAL
ejpam-4848	603	3	2017	DATE
