id	sid	eid	entity	type
ejpam-5274	1	1	european journal	ORG
ejpam-5274	2	1	17	CARDINAL
ejpam-5274	2	2	3	CARDINAL
ejpam-5274	2	3	2024	DATE
ejpam-5274	2	4	1449-1462	CARDINAL
ejpam-5274	2	5	1307-5543	DATE
ejpam-5274	2	6	new york	GPE
ejpam-5274	2	7	jayhan cruz1,∗	PERSON
ejpam-5274	2	8	gina malacas1,2	PERSON
ejpam-5274	2	9	sergio r. canoy	PERSON
ejpam-5274	2	10	1	CARDINAL
ejpam-5274	2	11	msu-iligan institute of technology	ORG
ejpam-5274	2	12	9200	CARDINAL
ejpam-5274	2	13	iligan city	GPE
ejpam-5274	2	14	2	CARDINAL
ejpam-5274	2	15	msu-iligan institute of technology	ORG
ejpam-5274	2	16	9200	CARDINAL
ejpam-5274	2	17	iligan city	GPE
ejpam-5274	2	18	philippines	GPE
ejpam-5274	10	1	k=1 akx	PERSON
ejpam-5274	11	1	1	CARDINAL
ejpam-5274	11	2	2	DATE
ejpam-5274	12	1	two	CARDINAL
ejpam-5274	13	1	2020	DATE
ejpam-5274	13	2	05c69	CARDINAL
ejpam-5274	13	3	1	CARDINAL
ejpam-5274	15	1	sn	ORG
ejpam-5274	16	1	sn	ORG
ejpam-5274	16	2	⟨s1	LANGUAGE
ejpam-5274	19	1	i=1 xsi	PERSON
ejpam-5274	19	2	⟨s1	LANGUAGE
ejpam-5274	21	1	⟨s1	LANGUAGE
ejpam-5274	23	1	1	CARDINAL
ejpam-5274	27	1	2	CARDINAL
ejpam-5274	27	2	3	CARDINAL
ejpam-5274	27	3	4	CARDINAL
ejpam-5274	27	4	5	CARDINAL
ejpam-5274	27	5	6	CARDINAL
ejpam-5274	29	1	jayhan.cruz@g.msuiit.edu.ph	ORG
ejpam-5274	29	2	j. cruz	PERSON
ejpam-5274	29	3	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-5274	29	4	s. canoy, jr.	PERSON
ejpam-5274	30	1	1449	CARDINAL
ejpam-5274	31	1	2024	CARDINAL
ejpam-5274	32	1	jayhan cruz	PERSON
ejpam-5274	32	2	g. malacas	PERSON
ejpam-5274	32	3	s. canoy, jr.	PERSON
ejpam-5274	33	1	j. pure	PERSON
ejpam-5274	33	2	17	CARDINAL
ejpam-5274	33	3	3	CARDINAL
ejpam-5274	33	4	2024	CARDINAL
ejpam-5274	33	5	1449-1462 1450	QUANTITY
ejpam-5274	34	1	9	CARDINAL
ejpam-5274	34	2	12	CARDINAL
ejpam-5274	35	1	4	CARDINAL
ejpam-5274	36	1	two	CARDINAL
ejpam-5274	36	2	canoy et al	PERSON
ejpam-5274	37	1	8	CARDINAL
ejpam-5274	39	1	10	CARDINAL
ejpam-5274	39	2	11	CARDINAL
ejpam-5274	40	1	two	CARDINAL
ejpam-5274	41	1	2.	CARDINAL
ejpam-5274	42	1	two	CARDINAL
ejpam-5274	44	1	∈	ORG
ejpam-5274	45	1	s. the degree of	PERSON
ejpam-5274	46	1	∈	ORG
ejpam-5274	47	1	1	CARDINAL
ejpam-5274	47	2	2	DATE
ejpam-5274	52	1	∑ v∈v	PERSON
ejpam-5274	52	2	x|ng(v)|	PERSON
ejpam-5274	54	1	vw ∈	ORG
ejpam-5274	55	1	vw	GPE
ejpam-5274	57	1	∈	ORG
ejpam-5274	58	1	two	CARDINAL
ejpam-5274	58	2	g1	ORG
ejpam-5274	58	3	∈	ORG
ejpam-5274	58	4	g1	ORG
ejpam-5274	59	1	∈	ORG
ejpam-5274	59	2	∈	ORG
ejpam-5274	60	1	g ⋄ h	ORG
ejpam-5274	60	2	one	CARDINAL
ejpam-5274	63	1	∈ e(h	ORG
ejpam-5274	63	2	∈ e(h	ORG
ejpam-5274	66	1	jayhan cruz	PERSON
ejpam-5274	66	2	g. malacas	PERSON
ejpam-5274	66	3	s. canoy, jr.	PERSON
ejpam-5274	67	1	j. pure	PERSON
ejpam-5274	67	2	17	CARDINAL
ejpam-5274	67	3	3	CARDINAL
ejpam-5274	67	4	2024	CARDINAL
ejpam-5274	67	5	1449-1462 1451	QUANTITY
ejpam-5274	68	1	′ ∈ e(h	ORG
ejpam-5274	69	1	3	CARDINAL
ejpam-5274	69	2	first	ORDINAL
ejpam-5274	70	1	1	CARDINAL
ejpam-5274	72	1	xn−1fg	ORG
ejpam-5274	72	2	1 x	QUANTITY
ejpam-5274	74	1	∈	ORG
ejpam-5274	76	1	w ∈	PERSON
ejpam-5274	76	2	w ∈	PERSON
ejpam-5274	78	1	1	CARDINAL
ejpam-5274	79	1	∑ v∈v	PERSON
ejpam-5274	79	2	x|ng(v)|	DATE
ejpam-5274	80	1	∑ v∈v	PERSON
ejpam-5274	81	1	xn−1 ∑ v∈v	PERSON
ejpam-5274	81	2	1 x	QUANTITY
ejpam-5274	82	1	2	CARDINAL
ejpam-5274	83	1	1	CARDINAL
ejpam-5274	83	2	1	CARDINAL
ejpam-5274	83	3	1⟩.	CARDINAL
ejpam-5274	84	1	1	CARDINAL
ejpam-5274	85	1	x|ng(v)|	DATE
ejpam-5274	87	1	1	CARDINAL
ejpam-5274	87	2	n−	ORG
ejpam-5274	87	3	1⟩.	CARDINAL
ejpam-5274	89	1	3	CARDINAL
ejpam-5274	92	1	1 x2 ∑	QUANTITY
ejpam-5274	93	1	x|ng(u)|+|ng(v)|	DATE
ejpam-5274	93	2	jayhan cruz	PERSON
ejpam-5274	93	3	g. malacas	PERSON
ejpam-5274	93	4	s. canoy, jr.	PERSON
ejpam-5274	94	1	j. pure	PERSON
ejpam-5274	94	2	17	CARDINAL
ejpam-5274	94	3	3	CARDINAL
ejpam-5274	94	4	2024	CARDINAL
ejpam-5274	94	5	1449-1462	CARDINAL
ejpam-5274	95	1	∈	ORG
ejpam-5274	97	1	2	CARDINAL
ejpam-5274	100	1	∑ uv∈v	PERSON
ejpam-5274	101	1	1 x2 ∑	QUANTITY
ejpam-5274	102	1	x|ng(u)|+|ng(v)|	DATE
ejpam-5274	106	1	proof	PERSON
ejpam-5274	107	1	∈	ORG
ejpam-5274	108	1	3	CARDINAL
ejpam-5274	110	1	1 x2 ∑	QUANTITY
ejpam-5274	111	1	1 x2 ∑ uv∈e(g	QUANTITY
ejpam-5274	111	2	x2r	PERSON
ejpam-5274	112	1	4	CARDINAL
ejpam-5274	116	1	∈	ORG
ejpam-5274	117	1	∈	ORG
ejpam-5274	118	1	∈	ORG
ejpam-5274	118	2	nhe(v	ORDINAL
ejpam-5274	119	1	∑ v∈v	PERSON
ejpam-5274	119	2	x|ng⋄h(v)|	DATE
ejpam-5274	120	1	∑ v∈v	PERSON
ejpam-5274	121	1	∑ v∈v	PERSON
ejpam-5274	121	2	x|ng⋄h(v)|	DATE
ejpam-5274	122	1	∑ v∈v	PERSON
ejpam-5274	123	1	∑ v∈v	PERSON
ejpam-5274	123	2	∑ v∈v	PERSON
ejpam-5274	123	3	x(n+1)|ng(v)|	GPE
ejpam-5274	126	1	jayhan cruz	PERSON
ejpam-5274	126	2	g. malacas	PERSON
ejpam-5274	126	3	s. canoy, jr.	PERSON
ejpam-5274	127	1	j. pure	PERSON
ejpam-5274	127	2	17	CARDINAL
ejpam-5274	127	3	3	CARDINAL
ejpam-5274	127	4	2024	CARDINAL
ejpam-5274	127	5	1449-1462 1453	QUANTITY
ejpam-5274	127	6	2	CARDINAL
ejpam-5274	130	1	3	CARDINAL
ejpam-5274	132	1	m−	NORP
ejpam-5274	135	1	m−	NORP
ejpam-5274	135	2	1)[(n−	CARDINAL
ejpam-5274	135	3	+ 2x3	CARDINAL
ejpam-5274	135	4	2	CARDINAL
ejpam-5274	136	1	m−	NORP
ejpam-5274	139	1	m−	NORP
ejpam-5274	139	2	1)nx4	CARDINAL
ejpam-5274	139	3	2	CARDINAL
ejpam-5274	141	1	+mnx4	PERSON
ejpam-5274	141	2	n ≥ 3	DATE
ejpam-5274	143	1	1	CARDINAL
ejpam-5274	143	2	2x+(r− 2)x2	CARDINAL
ejpam-5274	143	3	fcs(x	ORG
ejpam-5274	144	1	2	CARDINAL
ejpam-5274	144	2	3	CARDINAL
ejpam-5274	144	3	4	CARDINAL
ejpam-5274	145	1	5	CARDINAL
ejpam-5274	146	1	dm⟩ and ⟨r1	PERSON
ejpam-5274	147	1	1 ≤ i ≤ m}∪{rj+2	QUANTITY
ejpam-5274	147	2	1 ≤ j ≤ n	QUANTITY
ejpam-5274	147	3	+ 2	DATE
ejpam-5274	151	1	4	CARDINAL
ejpam-5274	155	1	g ⋄ h	ORG
ejpam-5274	155	2	1 ≤	QUANTITY
ejpam-5274	155	3	+ 2	DATE
ejpam-5274	155	4	1 ≤ j ≤ n	QUANTITY
ejpam-5274	156	1	+ 2	DATE
ejpam-5274	156	2	1 ≤	QUANTITY
ejpam-5274	156	3	6	CARDINAL
ejpam-5274	158	1	fd2(g)(x	GPE
ejpam-5274	159	1	2fg(x 2	DATE
ejpam-5274	160	1	jayhan cruz	PERSON
ejpam-5274	160	2	g. malacas	PERSON
ejpam-5274	160	3	s. canoy, jr.	PERSON
ejpam-5274	161	1	j. pure	PERSON
ejpam-5274	161	2	17	CARDINAL
ejpam-5274	161	3	3	CARDINAL
ejpam-5274	161	4	2024	CARDINAL
ejpam-5274	161	5	1449-1462 1454	QUANTITY
ejpam-5274	162	1	g1	ORG
ejpam-5274	162	2	ng1(v	PERSON
ejpam-5274	163	1	nd2(g)(v ′	DATE
ejpam-5274	164	1	2|ng(v)|	CARDINAL
ejpam-5274	165	1	fd2(g)(x	GPE
ejpam-5274	165	2	∑ v∈v	PERSON
ejpam-5274	166	1	∑ v∈v	PERSON
ejpam-5274	166	2	g1	ORG
ejpam-5274	167	1	∑ v∈v	PERSON
ejpam-5274	168	1	2fg(x 2	DATE
ejpam-5274	169	1	4	CARDINAL
ejpam-5274	171	1	2	CARDINAL
ejpam-5274	173	1	2(m−	CARDINAL
ejpam-5274	173	2	+ 4x2	PERSON
ejpam-5274	173	3	fd2(cn)(x	PERSON
ejpam-5274	175	1	+ 2mx2	DATE
ejpam-5274	177	1	m−	NORP
ejpam-5274	177	2	2)x2 + 2x	DATE
ejpam-5274	179	1	6	CARDINAL
ejpam-5274	180	1	2fpm(x 2	CARDINAL
ejpam-5274	181	1	2(m−	CARDINAL
ejpam-5274	181	2	+ 4x2	PERSON
ejpam-5274	182	1	2fcn(x 2	DATE
ejpam-5274	184	1	+ 2mx2	DATE
ejpam-5274	188	1	∈	ORG
ejpam-5274	188	2	zero	CARDINAL
ejpam-5274	188	3	fd2(g)(x	GPE
ejpam-5274	189	1	zero	CARDINAL
ejpam-5274	191	1	6	CARDINAL
ejpam-5274	191	2	fd2(g)(x	GPE
ejpam-5274	192	1	2fg(x 2	DATE
ejpam-5274	193	1	zero	CARDINAL
ejpam-5274	193	2	fd2(g)(x	GPE
ejpam-5274	193	3	2fg(a	CARDINAL
ejpam-5274	193	4	0	CARDINAL
ejpam-5274	194	1	a2	ORG
ejpam-5274	194	2	zero	CARDINAL
ejpam-5274	195	1	zero	CARDINAL
ejpam-5274	196	1	2fg(a 2	CARDINAL
ejpam-5274	196	2	0	CARDINAL
ejpam-5274	197	1	zero	CARDINAL
ejpam-5274	197	2	fd2(g)(x	GPE
ejpam-5274	198	1	8	CARDINAL
ejpam-5274	200	1	dn⟩.	PERSON
ejpam-5274	200	2	2d1	CARDINAL
ejpam-5274	200	3	2d2	ORG
ejpam-5274	200	4	2d2	PRODUCT
ejpam-5274	200	5	2dn	ORDINAL
ejpam-5274	200	6	2dn⟩.	CARDINAL
ejpam-5274	200	7	g. malacas	PERSON
ejpam-5274	200	8	s. canoy, jr.	PERSON
ejpam-5274	201	1	j. pure	PERSON
ejpam-5274	201	2	17	CARDINAL
ejpam-5274	201	3	3	CARDINAL
ejpam-5274	201	4	2024	CARDINAL
ejpam-5274	201	5	1449-1462 1455 proof	QUANTITY
ejpam-5274	203	1	i=1 x di .	PERSON
ejpam-5274	204	1	6	CARDINAL
ejpam-5274	204	2	fd2(g)(x	GPE
ejpam-5274	205	1	2fg(x 2	DATE
ejpam-5274	205	2	2	CARDINAL
ejpam-5274	206	1	2d1	CARDINAL
ejpam-5274	206	2	2d2	ORG
ejpam-5274	206	3	2d2	PRODUCT
ejpam-5274	206	4	2dn	ORDINAL
ejpam-5274	206	5	2dn⟩.	CARDINAL
ejpam-5274	206	6	9	CARDINAL
ejpam-5274	209	1	1 x	QUANTITY
ejpam-5274	211	1	∈	ORG
ejpam-5274	212	1	ngg(v	ORG
ejpam-5274	212	2	ngg(v	ORG
ejpam-5274	214	1	|ngg(v)|	CARDINAL
ejpam-5274	214	2	n−|ng[v]|)+1 = n−|ng(v)|.	PRODUCT
ejpam-5274	216	1	∑ v∈v	PERSON
ejpam-5274	218	1	∑ v∈v	PERSON
ejpam-5274	218	2	∑ v∈v	PERSON
ejpam-5274	220	1	1 x	QUANTITY
ejpam-5274	221	1	5	CARDINAL
ejpam-5274	223	1	2xn−1 +	DATE
ejpam-5274	223	2	2)xn−2 +	DATE
ejpam-5274	223	3	fcncn	PERSON
ejpam-5274	223	4	+ nx3 for n ≥ 3	DATE
ejpam-5274	224	1	n ≥ 2	DATE
ejpam-5274	225	1	2)x2 + 2x	DATE
ejpam-5274	226	1	sn	ORG
ejpam-5274	227	1	+2x]+xn[(n−2	CARDINAL
ejpam-5274	229	1	2xn−1+(n−2)xn−2+(n−2)x3+2x2	DATE
ejpam-5274	229	2	jayhan cruz	PERSON
ejpam-5274	229	3	g. malacas	PERSON
ejpam-5274	229	4	s. canoy, jr.	PERSON
ejpam-5274	230	1	j. pure	PERSON
ejpam-5274	230	2	17	CARDINAL
ejpam-5274	230	3	3	CARDINAL
ejpam-5274	230	4	2024	CARDINAL
ejpam-5274	230	5	1449-1462 1456	CARDINAL
ejpam-5274	230	6	x(nx2	PERSON
ejpam-5274	231	1	1 x2	QUANTITY
ejpam-5274	232	1	+ nx3	DATE
ejpam-5274	237	1	10	CARDINAL
ejpam-5274	239	1	dn⟩.	PERSON
ejpam-5274	239	2	+ 1	DATE
ejpam-5274	239	3	1 ≤	QUANTITY
ejpam-5274	239	4	1 ≤ i ≤ n	QUANTITY
ejpam-5274	243	1	i=1 xdi	PERSON
ejpam-5274	245	1	1 x	QUANTITY
ejpam-5274	254	1	+ 1	DATE
ejpam-5274	254	2	1 ≤	QUANTITY
ejpam-5274	254	3	1 ≤ i ≤ n	QUANTITY
ejpam-5274	255	1	11	CARDINAL
ejpam-5274	257	1	∑ v∈v	PERSON
ejpam-5274	258	1	p∈v (h) fg(x |nh(p)|+1)x|nh(p)|	ORG
ejpam-5274	260	1	d3 =	ORG
ejpam-5274	261	1	two	CARDINAL
ejpam-5274	261	2	ng⊠h((v	ORG
ejpam-5274	263	1	p))|	PERSON
ejpam-5274	263	2	|nh(p)|+ |ng(v)||nh(p)|	ORG
ejpam-5274	265	1	∑ v∈v	PERSON
ejpam-5274	265	2	x|ng(v)| ∑	PERSON
ejpam-5274	266	1	p∈v (h	ORG
ejpam-5274	266	2	x(|ng(v)|+1)|ng(p)|	DATE
ejpam-5274	267	1	jayhan cruz	PERSON
ejpam-5274	267	2	g. malacas	PERSON
ejpam-5274	267	3	s. canoy, jr.	PERSON
ejpam-5274	268	1	j. pure	PERSON
ejpam-5274	268	2	17	CARDINAL
ejpam-5274	268	3	3	CARDINAL
ejpam-5274	268	4	2024	CARDINAL
ejpam-5274	268	5	1449-1462 1457	QUANTITY
ejpam-5274	268	6	∑ v∈v	PERSON
ejpam-5274	269	1	∑	PERSON
ejpam-5274	269	2	p∈v (h	ORG
ejpam-5274	269	3	∑ v∈v	PERSON
ejpam-5274	269	4	x(|nh(p)|+1)|ng(v)|	PERSON
ejpam-5274	270	1	p∈v (h	ORG
ejpam-5274	271	1	∑ v∈v	PERSON
ejpam-5274	272	1	p∈v (h) fg(x |nh(p)|+1)x|nh(p)|.	ORG
ejpam-5274	272	2	6	CARDINAL
ejpam-5274	279	1	fh(xr1	CARDINAL
ejpam-5274	280	1	+1	DATE
ejpam-5274	281	1	6	DATE
ejpam-5274	281	2	∑ v∈v	PERSON
ejpam-5274	281	3	∑ v∈v	PERSON
ejpam-5274	283	1	12	CARDINAL
ejpam-5274	285	1	∑ v∈v	PERSON
ejpam-5274	285	2	xn|ng(v)|fh(xm−2|ng(v)|	PERSON
ejpam-5274	287	1	g⊕h	GPE
ejpam-5274	288	1	g⊕h	GPE
ejpam-5274	291	1	|ng⊕h((v	PRODUCT
ejpam-5274	291	2	p))| = |ng(v)|(n− |nh(p)|	PERSON
ejpam-5274	293	1	jayhan cruz	PERSON
ejpam-5274	293	2	g. malacas	PERSON
ejpam-5274	293	3	s. canoy, jr.	PERSON
ejpam-5274	294	1	j. pure	PERSON
ejpam-5274	294	2	17	CARDINAL
ejpam-5274	294	3	3	CARDINAL
ejpam-5274	294	4	2024	CARDINAL
ejpam-5274	294	5	1449-1462 1458	QUANTITY
ejpam-5274	294	6	g⊕h	GPE
ejpam-5274	294	7	x|ng(v)|(n−|nh(p)|)+|nh(p)|(m−|ng(v)|	TIME
ejpam-5274	294	8	∑ v∈v	PERSON
ejpam-5274	294	9	x|ng(v)|(n−|nh(p)|)+|nh(p)|(m−|ng(v)|	TIME
ejpam-5274	294	10	∑ v∈v	PERSON
ejpam-5274	295	1	∑ v∈v	PERSON
ejpam-5274	295	2	xn|ng(v)|fh(xm−2|ng(v)|	PERSON
ejpam-5274	300	1	∈	ORG
ejpam-5274	301	1	12	CARDINAL
ejpam-5274	301	2	∑ v∈v	PERSON
ejpam-5274	301	3	xn|ng(v)|fh(xm−2|ng(v)|	PERSON
ejpam-5274	302	1	∑ v∈v	PERSON
ejpam-5274	303	1	13	CARDINAL
ejpam-5274	305	1	dm⟩	PERSON
ejpam-5274	305	2	m−	NORP
ejpam-5274	305	3	2di)qj	CARDINAL
ejpam-5274	305	4	1 ≤	CARDINAL
ejpam-5274	305	5	1 ≤	QUANTITY
ejpam-5274	307	1	12	DATE
ejpam-5274	307	2	n∑ j=2	PERSON
ejpam-5274	309	1	∑ v∈v	PERSON
ejpam-5274	309	2	xn|ng(v)|fh(xm−2|ng(v)|	PERSON
ejpam-5274	312	1	jayhan cruz	PERSON
ejpam-5274	312	2	g. malacas	PERSON
ejpam-5274	312	3	s. canoy, jr.	PERSON
ejpam-5274	313	1	j. pure	PERSON
ejpam-5274	313	2	17	CARDINAL
ejpam-5274	313	3	3	CARDINAL
ejpam-5274	313	4	2024	CARDINAL
ejpam-5274	313	5	1449-1462 1459	QUANTITY
ejpam-5274	313	6	i=1 n∑	PERSON
ejpam-5274	314	1	i=1 n∑ j=1	PERSON
ejpam-5274	317	1	m−	NORP
ejpam-5274	317	2	2di)qj	CARDINAL
ejpam-5274	317	3	1 ≤	CARDINAL
ejpam-5274	318	1	1 ≤	QUANTITY
ejpam-5274	319	1	14	DATE
ejpam-5274	327	1	|ng∨h((v	ORG
ejpam-5274	327	2	p))| = n|ng(v)|+m|nh(p)|	PERSON
ejpam-5274	329	1	∑ v∈v	PERSON
ejpam-5274	330	1	∑ v∈v	PERSON
ejpam-5274	331	1	8	CARDINAL
ejpam-5274	334	1	m−	NORP
ejpam-5274	334	2	2)(n−	ORG
ejpam-5274	334	3	2)x2m+2n	MONEY
ejpam-5274	336	1	2	CARDINAL
ejpam-5274	337	1	n(m−	GPE
ejpam-5274	338	1	2	CARDINAL
ejpam-5274	338	2	mnx2m+2n	ORG
ejpam-5274	338	3	n ≥ 3	DATE
ejpam-5274	340	1	2	CARDINAL
ejpam-5274	340	2	k −	PERSON
ejpam-5274	340	3	2)x2 + 2x	DATE
ejpam-5274	340	4	= rx2	PERSON
ejpam-5274	340	5	14	DATE
ejpam-5274	342	1	jayhan cruz	PERSON
ejpam-5274	342	2	g. malacas	PERSON
ejpam-5274	342	3	s. canoy, jr.	PERSON
ejpam-5274	343	1	j. pure	PERSON
ejpam-5274	343	2	17	CARDINAL
ejpam-5274	343	3	3	CARDINAL
ejpam-5274	343	4	2024	CARDINAL
ejpam-5274	343	5	1449-1462 1460	QUANTITY
ejpam-5274	344	1	m−	NORP
ejpam-5274	344	2	2)(xm)2 + 2(xm	MONEY
ejpam-5274	345	1	m−	NORP
ejpam-5274	345	2	2)(n−	ORG
ejpam-5274	345	3	2)x2m+2n	MONEY
ejpam-5274	351	1	m−	NORP
ejpam-5274	351	2	n(m−	GPE
ejpam-5274	351	3	2)x2m+2n + 2nx2m+n	DATE
ejpam-5274	353	1	15	CARDINAL
ejpam-5274	355	1	∈	ORG
ejpam-5274	355	2	zero	CARDINAL
ejpam-5274	355	3	zero	CARDINAL
ejpam-5274	355	4	zero	CARDINAL
ejpam-5274	357	1	14	DATE
ejpam-5274	358	1	zero	CARDINAL
ejpam-5274	361	1	0	CARDINAL
ejpam-5274	362	1	0	CARDINAL
ejpam-5274	364	1	zero	CARDINAL
ejpam-5274	364	2	zero	CARDINAL
ejpam-5274	365	1	zero	CARDINAL
ejpam-5274	365	2	zero	CARDINAL
ejpam-5274	368	1	zero	CARDINAL
ejpam-5274	369	1	16	CARDINAL
ejpam-5274	371	1	dm⟩	PERSON
ejpam-5274	371	2	g ∨ h	ORG
ejpam-5274	372	1	1 ≤	QUANTITY
ejpam-5274	373	1	1 ≤	QUANTITY
ejpam-5274	375	1	14	DATE
ejpam-5274	377	1	i=1 n∑	PERSON
ejpam-5274	378	1	xndixmqj = m∑	PERSON
ejpam-5274	380	1	g ∨ h	ORG
ejpam-5274	381	1	1 ≤	QUANTITY
ejpam-5274	382	1	1 ≤	QUANTITY
ejpam-5274	383	1	1461 4	DATE
ejpam-5274	385	1	zeros	CARDINAL
ejpam-5274	387	1	msu-iligan institute of technology	ORG
ejpam-5274	388	1	1	CARDINAL
ejpam-5274	388	2	g. chen	PERSON
ejpam-5274	388	3	m. ferrara	PERSON
ejpam-5274	388	4	r. gould	PERSON
ejpam-5274	388	5	j. schmitt	PERSON
ejpam-5274	390	1	308(23):5712	ORG
ejpam-5274	390	2	5721	DATE
ejpam-5274	390	3	2008	DATE
ejpam-5274	391	1	2	CARDINAL
ejpam-5274	391	2	choudum	PERSON
ejpam-5274	393	1	bull	ORG
ejpam-5274	394	1	austral	ORG
ejpam-5274	395	1	33:67–70, 1986	DATE
ejpam-5274	396	1	3	CARDINAL
ejpam-5274	396	2	eggleton	PERSON
ejpam-5274	397	1	colloq	PERSON
ejpam-5274	400	1	j. bolyai	PERSON
ejpam-5274	400	2	10:385–392, 1975	DATE
ejpam-5274	401	1	4	CARDINAL
ejpam-5274	402	1	hungarian	NORP
ejpam-5274	403	1	lapok	PERSON
ejpam-5274	403	2	11:264–274, 1960	DATE
ejpam-5274	404	1	5	CARDINAL
ejpam-5274	406	1	j. siam	PERSON
ejpam-5274	406	2	10:496–506, 1962	DATE
ejpam-5274	407	1	6	CARDINAL
ejpam-5274	407	2	v. havel	PERSON
ejpam-5274	408	1	czech	NORP
ejpam-5274	410	1	80(4):477–480	CARDINAL
ejpam-5274	410	2	1955	DATE
ejpam-5274	411	1	7	CARDINAL
ejpam-5274	411	2	s. canoy jr	PERSON
ejpam-5274	411	3	j. hassan	PERSON
ejpam-5274	413	1	european journal	ORG
ejpam-5274	413	2	2023	CARDINAL
ejpam-5274	414	1	8	CARDINAL
ejpam-5274	414	2	canoy jr.	PERSON
ejpam-5274	414	3	m. labendia	PERSON
ejpam-5274	418	1	8(29):1445–1455, 2014	DATE
ejpam-5274	419	1	9	CARDINAL
ejpam-5274	419	2	li	PERSON
ejpam-5274	420	1	j. combin	PERSON
ejpam-5274	421	1	b.	PERSON
ejpam-5274	421	2	1975	DATE
ejpam-5274	422	1	1462	CARDINAL
ejpam-5274	422	2	10	CARDINAL
ejpam-5274	422	3	b. omamalin	PERSON
ejpam-5274	422	4	s. canoy jr	PERSON
ejpam-5274	422	5	h. rara	PERSON
ejpam-5274	424	1	8(48):2363–2374	CARDINAL
ejpam-5274	424	2	2014	DATE
ejpam-5274	425	1	11	CARDINAL
ejpam-5274	425	2	g. salasalan	PERSON
ejpam-5274	425	3	s. canoy jr.	PERSON
ejpam-5274	426	1	european journal	ORG
ejpam-5274	426	2	14(1):112–125	DATE
ejpam-5274	426	3	2021	DATE
ejpam-5274	427	1	12	CARDINAL
ejpam-5274	427	2	zverovich	PERSON
ejpam-5274	427	3	zverovich	PERSON
ejpam-5274	429	1	105:293–303,	DATE
ejpam-5274	429	2	1992	DATE