id	sid	eid	entity	type
ejpam-6074	1	1	european journal	ORG
ejpam-6074	1	2	2025	DATE
ejpam-6074	1	3	18	CARDINAL
ejpam-6074	1	4	2	CARDINAL
ejpam-6074	1	5	6074	DATE
ejpam-6074	1	6	1307-5543	DATE
ejpam-6074	1	7	new york	GPE
ejpam-6074	1	8	2	CARDINAL
ejpam-6074	1	9	roger l. estrella1,∗	PERSON
ejpam-6074	1	10	gina m. malacas1,2	PERSON
ejpam-6074	1	11	sergio r. canoy	PERSON
ejpam-6074	1	12	1	CARDINAL
ejpam-6074	1	13	msu-iligan institute of technology	ORG
ejpam-6074	1	14	9200	CARDINAL
ejpam-6074	1	15	iligan city	GPE
ejpam-6074	1	16	2	CARDINAL
ejpam-6074	1	17	msu-iligan institute of technology	ORG
ejpam-6074	1	18	9200	CARDINAL
ejpam-6074	1	19	iligan city	GPE
ejpam-6074	1	20	philippines	GPE
ejpam-6074	3	1	2	CARDINAL
ejpam-6074	3	2	∈	ORG
ejpam-6074	4	1	∩ n2 g(v	WORK_OF_ART
ejpam-6074	4	2	2	CARDINAL
ejpam-6074	4	3	2	CARDINAL
ejpam-6074	4	4	2	CARDINAL
ejpam-6074	5	1	2	CARDINAL
ejpam-6074	6	1	2	CARDINAL
ejpam-6074	6	2	2	CARDINAL
ejpam-6074	7	1	2020	DATE
ejpam-6074	7	2	05c69	CARDINAL
ejpam-6074	7	3	2	CARDINAL
ejpam-6074	7	4	2	CARDINAL
ejpam-6074	7	5	1	CARDINAL
ejpam-6074	8	1	blair et al	PERSON
ejpam-6074	9	1	1	CARDINAL
ejpam-6074	14	1	roger.estrella@g.msuiit.edu.ph	PERSON
ejpam-6074	14	2	r. estrella	PERSON
ejpam-6074	14	3	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-6074	14	4	s. canoy	PERSON
ejpam-6074	15	1	1	CARDINAL
ejpam-6074	15	2	2025	CARDINAL
ejpam-6074	16	1	r. estrella	PERSON
ejpam-6074	16	2	gina m. malacas	PERSON
ejpam-6074	16	3	s. canoy jr.	PERSON
ejpam-6074	17	1	j. pure	PERSON
ejpam-6074	17	2	18	CARDINAL
ejpam-6074	17	3	2	CARDINAL
ejpam-6074	17	4	2025	CARDINAL
ejpam-6074	17	5	6074 2	DATE
ejpam-6074	18	1	2	CARDINAL
ejpam-6074	18	2	3	CARDINAL
ejpam-6074	18	3	4	CARDINAL
ejpam-6074	18	4	5	CARDINAL
ejpam-6074	18	5	6	CARDINAL
ejpam-6074	18	6	7	CARDINAL
ejpam-6074	19	1	natarajan et al	PERSON
ejpam-6074	20	1	8	CARDINAL
ejpam-6074	21	1	the years	DATE
ejpam-6074	22	1	9	CARDINAL
ejpam-6074	22	2	10	CARDINAL
ejpam-6074	22	3	11	CARDINAL
ejpam-6074	22	4	12	CARDINAL
ejpam-6074	22	5	13	CARDINAL
ejpam-6074	22	6	14	CARDINAL
ejpam-6074	22	7	15	CARDINAL
ejpam-6074	22	8	16	CARDINAL
ejpam-6074	23	1	17	CARDINAL
ejpam-6074	23	2	18	CARDINAL
ejpam-6074	23	3	19	CARDINAL
ejpam-6074	25	1	2	CARDINAL
ejpam-6074	27	1	2	CARDINAL
ejpam-6074	28	1	2.	CARDINAL
ejpam-6074	29	1	two	CARDINAL
ejpam-6074	35	1	vertices u	PERSON
ejpam-6074	35	2	∈	ORG
ejpam-6074	37	1	⊆	CARDINAL
ejpam-6074	38	1	⋃	PERSON
ejpam-6074	40	1	∪x	CARDINAL
ejpam-6074	41	1	⊆	CARDINAL
ejpam-6074	44	1	∈	ORG
ejpam-6074	47	1	γ(g	NORP
ejpam-6074	47	2	γt(g	ORG
ejpam-6074	49	1	γt(g	ORG
ejpam-6074	51	1	1	CARDINAL
ejpam-6074	52	1	2	CARDINAL
ejpam-6074	52	2	n2 g(u	PRODUCT
ejpam-6074	52	3	∈	ORG
ejpam-6074	52	4	2	CARDINAL
ejpam-6074	53	1	⊆	CARDINAL
ejpam-6074	53	2	n2 g(x	PRODUCT
ejpam-6074	54	1	⋃	PERSON
ejpam-6074	54	2	n2 g(u	PRODUCT
ejpam-6074	56	1	⊆	CARDINAL
ejpam-6074	56	2	∈	PERSON
ejpam-6074	57	1	2	CARDINAL
ejpam-6074	59	1	2	CARDINAL
ejpam-6074	59	2	∈	ORG
ejpam-6074	59	3	w ∈	PERSON
ejpam-6074	60	1	∩ n2 g(v	WORK_OF_ART
ejpam-6074	60	2	r. estrella	PERSON
ejpam-6074	60	3	gina m. malacas	PERSON
ejpam-6074	60	4	s. canoy jr.	PERSON
ejpam-6074	61	1	j. pure	PERSON
ejpam-6074	61	2	18	CARDINAL
ejpam-6074	61	3	2	CARDINAL
ejpam-6074	61	4	2025	CARDINAL
ejpam-6074	61	5	6074 3	DATE
ejpam-6074	61	6	15	CARDINAL
ejpam-6074	61	7	2	CARDINAL
ejpam-6074	61	8	2	CARDINAL
ejpam-6074	61	9	2	CARDINAL
ejpam-6074	62	1	two	CARDINAL
ejpam-6074	62	2	g1	ORG
ejpam-6074	62	3	∈	ORG
ejpam-6074	62	4	g1	ORG
ejpam-6074	63	1	∈	ORG
ejpam-6074	63	2	∈	ORG
ejpam-6074	64	1	3	CARDINAL
ejpam-6074	64	2	first	ORDINAL
ejpam-6074	64	3	2	CARDINAL
ejpam-6074	65	1	1	CARDINAL
ejpam-6074	67	1	2	CARDINAL
ejpam-6074	69	1	2	CARDINAL
ejpam-6074	69	2	s.	PERSON
ejpam-6074	70	1	1	CARDINAL
ejpam-6074	70	2	∈	ORG
ejpam-6074	70	3	one	CARDINAL
ejpam-6074	71	1	n2 g(v	ORG
ejpam-6074	71	2	no w ∈	ORG
ejpam-6074	73	1	2	CARDINAL
ejpam-6074	76	1	y ∈ n2 g(x	PERSON
ejpam-6074	77	1	2	CARDINAL
ejpam-6074	77	2	1	CARDINAL
ejpam-6074	78	1	g1	ORG
ejpam-6074	80	1	gk	PERSON
ejpam-6074	84	1	1	CARDINAL
ejpam-6074	84	2	2	DATE
ejpam-6074	84	3	k}	PERSON
ejpam-6074	86	1	γh(gj	CARDINAL
ejpam-6074	87	1	2	CARDINAL
ejpam-6074	87	2	g1	ORG
ejpam-6074	89	1	gk	PERSON
ejpam-6074	89	2	2	CARDINAL
ejpam-6074	90	1	1	CARDINAL
ejpam-6074	90	2	2	DATE
ejpam-6074	90	3	k}.	PERSON
ejpam-6074	92	1	2	CARDINAL
ejpam-6074	94	1	2	CARDINAL
ejpam-6074	94	2	s. let sj	PERSON
ejpam-6074	96	1	1	CARDINAL
ejpam-6074	96	2	gj	PERSON
ejpam-6074	97	1	j ∈	PERSON
ejpam-6074	97	2	∈	ORG
ejpam-6074	98	1	2	CARDINAL
ejpam-6074	99	1	r. estrella	PERSON
ejpam-6074	99	2	gina m. malacas	PERSON
ejpam-6074	99	3	s. canoy jr.	PERSON
ejpam-6074	100	1	j. pure	PERSON
ejpam-6074	100	2	18	CARDINAL
ejpam-6074	100	3	2	CARDINAL
ejpam-6074	100	4	2025	CARDINAL
ejpam-6074	100	5	6074 4	DATE
ejpam-6074	100	6	1	CARDINAL
ejpam-6074	102	1	2	CARDINAL
ejpam-6074	103	1	1	CARDINAL
ejpam-6074	108	1	2	CARDINAL
ejpam-6074	108	2	1	CARDINAL
ejpam-6074	108	3	2	CARDINAL
ejpam-6074	114	1	1	CARDINAL
ejpam-6074	115	1	2	CARDINAL
ejpam-6074	116	1	2	CARDINAL
ejpam-6074	117	1	g′	PERSON
ejpam-6074	117	2	2	CARDINAL
ejpam-6074	118	1	g′	PERSON
ejpam-6074	120	1	4 ≤	CARDINAL
ejpam-6074	121	1	2	CARDINAL
ejpam-6074	122	1	2	CARDINAL
ejpam-6074	127	1	2	CARDINAL
ejpam-6074	127	2	2	CARDINAL
ejpam-6074	129	1	second	ORDINAL
ejpam-6074	129	2	2	CARDINAL
ejpam-6074	129	3	1	CARDINAL
ejpam-6074	130	1	kn+1	GPE
ejpam-6074	132	1	2	CARDINAL
ejpam-6074	132	2	/∈ s.	PERSON
ejpam-6074	132	3	x1 ∈ s	PERSON
ejpam-6074	135	1	s. suppose |s∩{x2	ORG
ejpam-6074	135	2	xn+2}| ≤ n−1	PERSON
ejpam-6074	136	1	x3 /∈ s.	PERSON
ejpam-6074	136	2	2	CARDINAL
ejpam-6074	136	3	3	CARDINAL
ejpam-6074	136	4	2	CARDINAL
ejpam-6074	137	1	r. estrella	PERSON
ejpam-6074	137	2	gina m. malacas	PERSON
ejpam-6074	137	3	s. canoy jr.	PERSON
ejpam-6074	138	1	j. pure	PERSON
ejpam-6074	138	2	18	CARDINAL
ejpam-6074	138	3	2	CARDINAL
ejpam-6074	138	4	2025	CARDINAL
ejpam-6074	138	5	6074 5	DATE
ejpam-6074	138	6	15	CARDINAL
ejpam-6074	167	1	x4 x5	PERSON
ejpam-6074	167	2	1	CARDINAL
ejpam-6074	168	1	x1}|	ORG
ejpam-6074	168	2	1	CARDINAL
ejpam-6074	169	1	2	CARDINAL
ejpam-6074	169	2	3	CARDINAL
ejpam-6074	170	1	n ≥ 4	ORG
ejpam-6074	171	1	2	CARDINAL
ejpam-6074	171	2	∈	ORG
ejpam-6074	171	3	w ∈	PERSON
ejpam-6074	171	4	⊆ n2	QUANTITY
ejpam-6074	173	1	2	CARDINAL
ejpam-6074	173	2	∈	ORG
ejpam-6074	174	1	2	CARDINAL
ejpam-6074	174	2	w ∈	PERSON
ejpam-6074	174	3	∩ n2 g(v	WORK_OF_ART
ejpam-6074	175	1	sw	ORG
ejpam-6074	176	1	n2 g(z	PRODUCT
ejpam-6074	177	1	sw	ORG
ejpam-6074	177	2	z ∈ n2 g[w	QUANTITY
ejpam-6074	178	1	⊆ n2	QUANTITY
ejpam-6074	180	1	∈	ORG
ejpam-6074	181	1	w ∈	PERSON
ejpam-6074	181	2	∩ n2 g(v	WORK_OF_ART
ejpam-6074	181	3	⊆ n2	QUANTITY
ejpam-6074	182	1	sw	ORG
ejpam-6074	184	1	∈	ORG
ejpam-6074	186	1	⊆ n2	QUANTITY
ejpam-6074	186	2	sw	ORG
ejpam-6074	186	3	∈	ORG
ejpam-6074	186	4	2	CARDINAL
ejpam-6074	186	5	2	CARDINAL
ejpam-6074	187	1	∈	ORG
ejpam-6074	187	2	|ephn(v;s)| ≤ 1 or	PRODUCT
ejpam-6074	187	3	2	CARDINAL
ejpam-6074	187	4	w	GPE
ejpam-6074	187	5	2	CARDINAL
ejpam-6074	188	1	2	CARDINAL
ejpam-6074	190	1	∈	ORG
ejpam-6074	192	1	n2 g(v)∩(v	PRODUCT
ejpam-6074	193	1	n2 g(v	ORG
ejpam-6074	193	2	⊆	CARDINAL
ejpam-6074	195	1	n2 g(v	ORG
ejpam-6074	195	2	∩	PERSON
ejpam-6074	196	1	0	CARDINAL
ejpam-6074	196	2	⊆	CARDINAL
ejpam-6074	196	3	∩	PERSON
ejpam-6074	197	1	1	CARDINAL
ejpam-6074	197	2	∈ ephn(v;s	ORG
ejpam-6074	198	1	∈	ORG
ejpam-6074	198	2	∩ n2 g(v	WORK_OF_ART
ejpam-6074	198	3	⊆ n2 g[xv	QUANTITY
ejpam-6074	199	1	2	CARDINAL
ejpam-6074	199	2	w	GPE
ejpam-6074	199	3	2	CARDINAL
ejpam-6074	200	1	∈	ORG
ejpam-6074	200	2	∩ n2 g(v	WORK_OF_ART
ejpam-6074	201	1	r. estrella	PERSON
ejpam-6074	201	2	gina m. malacas	PERSON
ejpam-6074	201	3	s. canoy jr.	PERSON
ejpam-6074	202	1	j. pure	PERSON
ejpam-6074	202	2	18	CARDINAL
ejpam-6074	202	3	2	CARDINAL
ejpam-6074	202	4	2025	CARDINAL
ejpam-6074	202	5	6074 6	DATE
ejpam-6074	202	6	15	CARDINAL
ejpam-6074	202	7	w	GPE
ejpam-6074	202	8	2	CARDINAL
ejpam-6074	203	1	⊆	CARDINAL
ejpam-6074	204	1	2	CARDINAL
ejpam-6074	204	2	3	CARDINAL
ejpam-6074	204	3	4	CARDINAL
ejpam-6074	205	1	n ≥ 4	ORG
ejpam-6074	206	1	2 ≤	QUANTITY
ejpam-6074	206	2	2	CARDINAL
ejpam-6074	207	1	2	CARDINAL
ejpam-6074	207	2	g[{p	PRODUCT
ejpam-6074	207	3	2	CARDINAL
ejpam-6074	208	1	⊆	CARDINAL
ejpam-6074	209	1	⊆	CARDINAL
ejpam-6074	211	1	2	CARDINAL
ejpam-6074	211	2	2	CARDINAL
ejpam-6074	212	1	2	CARDINAL
ejpam-6074	212	2	j2	ORG
ejpam-6074	212	3	2	CARDINAL
ejpam-6074	212	4	2	CARDINAL
ejpam-6074	215	1	2	CARDINAL
ejpam-6074	215	2	2	CARDINAL
ejpam-6074	216	1	2	CARDINAL
ejpam-6074	218	1	1	CARDINAL
ejpam-6074	220	1	g(v)∪n2 g(w	PERSON
ejpam-6074	222	1	n2 g(w	PERSON
ejpam-6074	223	1	∩ n2 g(w	PERSON
ejpam-6074	225	1	∈ n2 g(z	PRODUCT
ejpam-6074	227	1	2	CARDINAL
ejpam-6074	227	2	2	CARDINAL
ejpam-6074	228	1	2	CARDINAL
ejpam-6074	230	1	2	CARDINAL
ejpam-6074	231	1	3	CARDINAL
ejpam-6074	234	1	⊆	CARDINAL
ejpam-6074	234	2	⊆	CARDINAL
ejpam-6074	235	1	∈	ORG
ejpam-6074	236	1	∈	ORG
ejpam-6074	237	1	∈	ORG
ejpam-6074	239	1	⊆	CARDINAL
ejpam-6074	244	1	∈	PRODUCT
ejpam-6074	245	1	∈	ORG
ejpam-6074	252	1	∈	ORG
ejpam-6074	257	1	r. estrella	PERSON
ejpam-6074	257	2	gina m. malacas	PERSON
ejpam-6074	257	3	s. canoy jr.	PERSON
ejpam-6074	258	1	j. pure	PERSON
ejpam-6074	258	2	18	CARDINAL
ejpam-6074	258	3	2	CARDINAL
ejpam-6074	258	4	2025	CARDINAL
ejpam-6074	258	5	6074 7 of 15	DATE
ejpam-6074	259	1	∈	ORG
ejpam-6074	260	1	2	CARDINAL
ejpam-6074	261	1	∈	PRODUCT
ejpam-6074	261	2	∈	ORG
ejpam-6074	261	3	g)\(n2 g[q]∪{p	PERSON
ejpam-6074	262	1	2	CARDINAL
ejpam-6074	262	2	1	CARDINAL
ejpam-6074	262	3	2	CARDINAL
ejpam-6074	267	1	d\{z})∪{w	ORG
ejpam-6074	268	1	2	CARDINAL
ejpam-6074	270	1	2	CARDINAL
ejpam-6074	270	2	γ1h(g	PERSON
ejpam-6074	271	1	2	CARDINAL
ejpam-6074	271	2	2	CARDINAL
ejpam-6074	271	3	2	CARDINAL
ejpam-6074	271	4	dg(q	GPE
ejpam-6074	271	5	2	CARDINAL
ejpam-6074	271	6	∈	ORG
ejpam-6074	272	1	j2	ORG
ejpam-6074	275	1	2	CARDINAL
ejpam-6074	275	2	2	CARDINAL
ejpam-6074	276	1	j2	ORG
ejpam-6074	277	1	2	CARDINAL
ejpam-6074	277	2	5	CARDINAL
ejpam-6074	278	1	n ≥ 4	DATE
ejpam-6074	280	1	3	CARDINAL
ejpam-6074	280	2	5	CARDINAL
ejpam-6074	280	3	6	DATE
ejpam-6074	280	4	7	DATE
ejpam-6074	280	5	9	DATE
ejpam-6074	280	6	10	CARDINAL
ejpam-6074	280	7	2	CARDINAL
ejpam-6074	280	8	4	CARDINAL
ejpam-6074	280	9	4t+ 1	DATE
ejpam-6074	280	10	t ≥ 3	DATE
ejpam-6074	280	11	4t+ 2	DATE
ejpam-6074	280	12	t ≥ 3) 2t+ 1	DATE
ejpam-6074	280	13	4t+ 3	DATE
ejpam-6074	280	14	2	CARDINAL
ejpam-6074	284	1	1	CARDINAL
ejpam-6074	285	1	4	CARDINAL
ejpam-6074	285	2	4	CARDINAL
ejpam-6074	286	1	2	CARDINAL
ejpam-6074	289	1	4	CARDINAL
ejpam-6074	290	1	t ≥ 3	DATE
ejpam-6074	291	1	1	CARDINAL
ejpam-6074	291	2	2	DATE
ejpam-6074	292	1	2	CARDINAL
ejpam-6074	293	1	2	CARDINAL
ejpam-6074	294	1	|ephn(v;s)| ≤ 1	PRODUCT
ejpam-6074	294	2	∈	ORG
ejpam-6074	294	3	2	CARDINAL
ejpam-6074	294	4	2	CARDINAL
ejpam-6074	295	1	2 + ∑⌊	QUANTITY
ejpam-6074	295	2	2	CARDINAL
ejpam-6074	295	3	2 + 4	DATE
ejpam-6074	295	4	2	CARDINAL
ejpam-6074	295	5	2	CARDINAL
ejpam-6074	295	6	|s′|	PERSON
ejpam-6074	295	7	2	CARDINAL
ejpam-6074	296	1	2	CARDINAL
ejpam-6074	297	1	r. estrella	PERSON
ejpam-6074	297	2	gina m. malacas	PERSON
ejpam-6074	297	3	s. canoy jr.	PERSON
ejpam-6074	298	1	j. pure	PERSON
ejpam-6074	298	2	18	CARDINAL
ejpam-6074	298	3	2	CARDINAL
ejpam-6074	298	4	2025	CARDINAL
ejpam-6074	298	5	6074 8 of 15	DATE
ejpam-6074	298	6	2	CARDINAL
ejpam-6074	298	7	2	CARDINAL
ejpam-6074	299	1	4t+ 1	DATE
ejpam-6074	299	2	4t+ 2	DATE
ejpam-6074	300	1	5	CARDINAL
ejpam-6074	302	1	3	CARDINAL
ejpam-6074	303	1	6	CARDINAL
ejpam-6074	303	2	v2, v5	GPE
ejpam-6074	304	1	γ2mh(p6	GPE
ejpam-6074	305	1	4	CARDINAL
ejpam-6074	306	1	v2, v5	GPE
ejpam-6074	308	1	5	CARDINAL
ejpam-6074	309	1	t ≥ 3	DATE
ejpam-6074	310	1	1	CARDINAL
ejpam-6074	314	1	|ephn(v;s)| ≤ 1	PRODUCT
ejpam-6074	314	2	∈	ORG
ejpam-6074	314	3	2	CARDINAL
ejpam-6074	314	4	2	CARDINAL
ejpam-6074	314	5	|s′|	PERSON
ejpam-6074	314	6	2	CARDINAL
ejpam-6074	314	7	2	CARDINAL
ejpam-6074	314	8	2 +	DATE
ejpam-6074	314	9	2 + 2(t− 1	DATE
ejpam-6074	314	10	2	CARDINAL
ejpam-6074	314	11	3	CARDINAL
ejpam-6074	314	12	4t+ 3	DATE
ejpam-6074	315	1	n = 7	ORG
ejpam-6074	315	2	v2, v5	GPE
ejpam-6074	316	1	γ2mh(p7	ORG
ejpam-6074	316	2	4	CARDINAL
ejpam-6074	317	1	2	CARDINAL
ejpam-6074	317	2	1	CARDINAL
ejpam-6074	317	3	2	DATE
ejpam-6074	320	1	v4t+3}∪ ⋃t−1	ORG
ejpam-6074	322	1	2	CARDINAL
ejpam-6074	322	2	2	CARDINAL
ejpam-6074	322	3	∈	ORG
ejpam-6074	322	4	2 +	DATE
ejpam-6074	322	5	3 + 2(t− 1	CARDINAL
ejpam-6074	322	6	2t+ 1	DATE
ejpam-6074	324	1	6	CARDINAL
ejpam-6074	325	1	n ≥ 4	DATE
ejpam-6074	326	1	2	CARDINAL
ejpam-6074	326	2	4	CARDINAL
ejpam-6074	326	3	1	CARDINAL
ejpam-6074	326	4	4t+ 1	DATE
ejpam-6074	326	5	4t+ 2	DATE
ejpam-6074	326	6	1 2t− 1	QUANTITY
ejpam-6074	326	7	4t+ 1	DATE
ejpam-6074	326	8	4 2t+ 1	CARDINAL
ejpam-6074	326	9	4t+ 3	DATE
ejpam-6074	326	10	1	CARDINAL
ejpam-6074	330	1	n ≥ 4	DATE
ejpam-6074	331	1	1	CARDINAL
ejpam-6074	332	1	4	CARDINAL
ejpam-6074	332	2	t ≥ 1	DATE
ejpam-6074	332	3	r. estrella	PERSON
ejpam-6074	332	4	gina m. malacas	PERSON
ejpam-6074	332	5	s. canoy jr.	PERSON
ejpam-6074	333	1	j. pure	PERSON
ejpam-6074	333	2	18	CARDINAL
ejpam-6074	333	3	2	CARDINAL
ejpam-6074	333	4	2025	CARDINAL
ejpam-6074	333	5	6074 9	DATE
ejpam-6074	333	6	15	CARDINAL
ejpam-6074	333	7	1	CARDINAL
ejpam-6074	334	1	4	CARDINAL
ejpam-6074	336	1	2	CARDINAL
ejpam-6074	337	1	t ≥ 3	DATE
ejpam-6074	338	1	j = 1	WORK_OF_ART
ejpam-6074	340	1	2	CARDINAL
ejpam-6074	341	1	2	CARDINAL
ejpam-6074	342	1	2	CARDINAL
ejpam-6074	343	1	|s′|	PERSON
ejpam-6074	343	2	∃	ORG
ejpam-6074	343	3	∈	ORG
ejpam-6074	343	4	2	CARDINAL
ejpam-6074	343	5	2	CARDINAL
ejpam-6074	344	1	2+ ∑	DATE
ejpam-6074	344	2	2	CARDINAL
ejpam-6074	344	3	2+4	DATE
ejpam-6074	344	4	2	CARDINAL
ejpam-6074	344	5	2	CARDINAL
ejpam-6074	344	6	2	CARDINAL
ejpam-6074	345	1	v8j−6	ORG
ejpam-6074	345	2	j = 1	WORK_OF_ART
ejpam-6074	347	1	t 2	DATE
ejpam-6074	348	1	⋃	ORG
ejpam-6074	348	2	2	CARDINAL
ejpam-6074	349	1	∑ t 2 j=1 |sj	ORG
ejpam-6074	349	2	4	CARDINAL
ejpam-6074	349	3	2	CARDINAL
ejpam-6074	349	4	2	CARDINAL
ejpam-6074	350	1	4t+ 1	DATE
ejpam-6074	350	2	t ≤ 3	DATE
ejpam-6074	351	1	j = 1	WORK_OF_ART
ejpam-6074	354	1	2	CARDINAL
ejpam-6074	354	2	3	CARDINAL
ejpam-6074	355	1	4t+ 1	DATE
ejpam-6074	355	2	t ≥ 4	DATE
ejpam-6074	356	1	j = 1	WORK_OF_ART
ejpam-6074	358	1	t −	DATE
ejpam-6074	360	1	v2, v5	GPE
ejpam-6074	362	1	4 +	CARDINAL
ejpam-6074	362	2	5 + 2(t− 3	DATE
ejpam-6074	363	1	2t− 1	DATE
ejpam-6074	363	2	4	CARDINAL
ejpam-6074	363	3	4t+ 2	DATE
ejpam-6074	364	1	c10	ORG
ejpam-6074	365	1	2	CARDINAL
ejpam-6074	366	1	4	CARDINAL
ejpam-6074	366	2	t ≥ 3	DATE
ejpam-6074	367	1	j = 1	WORK_OF_ART
ejpam-6074	370	1	2	CARDINAL
ejpam-6074	371	1	⋃t−2 j=1 sj	ORG
ejpam-6074	373	1	4 +	DATE
ejpam-6074	374	1	4 + 2(t− 2	CARDINAL
ejpam-6074	374	2	2	CARDINAL
ejpam-6074	374	3	5	CARDINAL
ejpam-6074	375	1	4t+ 3	DATE
ejpam-6074	376	1	j = 1	WORK_OF_ART
ejpam-6074	378	1	t −	DATE
ejpam-6074	381	1	4	CARDINAL
ejpam-6074	381	2	3 + 2(t− 1	CARDINAL
ejpam-6074	381	3	2t+ 1	DATE
ejpam-6074	382	1	g1	ORG
ejpam-6074	382	2	sg1 ⊆	PRODUCT
ejpam-6074	382	3	g1	ORG
ejpam-6074	382	4	sg2 ⊆	ORG
ejpam-6074	382	5	a′ ∈	PERSON
ejpam-6074	382	6	∈	ORG
ejpam-6074	382	7	g1	ORG
ejpam-6074	383	1	r. estrella	PERSON
ejpam-6074	383	2	gina m. malacas	PERSON
ejpam-6074	383	3	s. canoy jr.	PERSON
ejpam-6074	384	1	j. pure	PERSON
ejpam-6074	384	2	18	CARDINAL
ejpam-6074	384	3	2	CARDINAL
ejpam-6074	384	4	2025	CARDINAL
ejpam-6074	384	5	6074 10 of 15	DATE
ejpam-6074	384	6	20	CARDINAL
ejpam-6074	387	1	g1	ORG
ejpam-6074	389	1	sg1 ∪ sg2	DATE
ejpam-6074	389	2	sg1	CARDINAL
ejpam-6074	389	3	g1	ORG
ejpam-6074	390	1	8	CARDINAL
ejpam-6074	392	1	2	CARDINAL
ejpam-6074	393	1	⊆	CARDINAL
ejpam-6074	393	2	2	CARDINAL
ejpam-6074	394	1	2	CARDINAL
ejpam-6074	394	2	g1	ORG
ejpam-6074	395	1	2	CARDINAL
ejpam-6074	396	1	g1	ORG
ejpam-6074	396	2	2	CARDINAL
ejpam-6074	396	3	g1	ORG
ejpam-6074	400	1	2	CARDINAL
ejpam-6074	400	2	2	CARDINAL
ejpam-6074	401	1	2	CARDINAL
ejpam-6074	402	1	sg1	DATE
ejpam-6074	402	2	g1	ORG
ejpam-6074	403	1	sg2 = ∅	ORG
ejpam-6074	403	2	g1	ORG
ejpam-6074	403	3	7(i	CARDINAL
ejpam-6074	406	1	2	CARDINAL
ejpam-6074	406	2	w ∈	PERSON
ejpam-6074	408	1	w ∈	PERSON
ejpam-6074	408	2	g1	ORG
ejpam-6074	408	3	g1	ORG
ejpam-6074	408	4	7(i	CARDINAL
ejpam-6074	409	1	∈	ORG
ejpam-6074	410	1	∈	ORG
ejpam-6074	410	2	g1	ORG
ejpam-6074	410	3	dd2(g)(v	PERSON
ejpam-6074	411	1	dd2(g)(v	PERSON
ejpam-6074	411	2	2	CARDINAL
ejpam-6074	411	3	∈	ORG
ejpam-6074	411	4	g1	ORG
ejpam-6074	411	5	g1	ORG
ejpam-6074	412	1	g1	ORG
ejpam-6074	413	1	2	CARDINAL
ejpam-6074	413	2	g1	ORG
ejpam-6074	414	1	2	CARDINAL
ejpam-6074	414	2	sg1	CARDINAL
ejpam-6074	414	3	sg1 ̸=	ORG
ejpam-6074	414	4	sg2 ̸=	ORG
ejpam-6074	415	1	g1	ORG
ejpam-6074	416	1	g1	ORG
ejpam-6074	417	1	7	CARDINAL
ejpam-6074	417	2	2	CARDINAL
ejpam-6074	417	3	∈	ORG
ejpam-6074	418	1	∈	ORG
ejpam-6074	418	2	g1	ORG
ejpam-6074	418	3	∈	ORG
ejpam-6074	418	4	g1	ORG
ejpam-6074	418	5	s\{p})∪{q	PERSON
ejpam-6074	420	1	g1	ORG
ejpam-6074	422	1	g1	ORG
ejpam-6074	422	2	∩ n2 g1	WORK_OF_ART
ejpam-6074	422	3	sg2 ∪	ORG
ejpam-6074	424	1	r. estrella	GPE
ejpam-6074	424	2	gina m. malacas	PERSON
ejpam-6074	424	3	s. canoy jr.	PERSON
ejpam-6074	425	1	j. pure	PERSON
ejpam-6074	425	2	18	CARDINAL
ejpam-6074	425	3	2	CARDINAL
ejpam-6074	425	4	2025	CARDINAL
ejpam-6074	425	5	6074 11	DATE
ejpam-6074	425	6	15	CARDINAL
ejpam-6074	425	7	g1	ORG
ejpam-6074	426	1	2	CARDINAL
ejpam-6074	426	2	g1	ORG
ejpam-6074	427	1	2	CARDINAL
ejpam-6074	432	1	g1	ORG
ejpam-6074	432	2	g1	ORG
ejpam-6074	433	1	7(i	CARDINAL
ejpam-6074	434	1	dg1(x	PERSON
ejpam-6074	435	1	2	CARDINAL
ejpam-6074	436	1	d2(g)(x	PERSON
ejpam-6074	437	1	2	CARDINAL
ejpam-6074	440	1	∈	ORG
ejpam-6074	442	1	∈	ORG
ejpam-6074	442	2	sg1	CARDINAL
ejpam-6074	444	1	sg1	CARDINAL
ejpam-6074	444	2	g1	ORG
ejpam-6074	447	1	∈	ORG
ejpam-6074	447	2	g1	ORG
ejpam-6074	448	1	∈ sg2	PERSON
ejpam-6074	448	2	dd2(g)(p	GPE
ejpam-6074	448	3	2	CARDINAL
ejpam-6074	449	1	g1	ORG
ejpam-6074	449	2	∈	ORG
ejpam-6074	449	3	dd2(g)(p	GPE
ejpam-6074	450	1	2	CARDINAL
ejpam-6074	454	1	∈ sg2 ⊆	ORG
ejpam-6074	454	2	dd2(g)(p	GPE
ejpam-6074	454	3	dd2(g)(p	GPE
ejpam-6074	454	4	2	CARDINAL
ejpam-6074	456	1	sg1	DATE
ejpam-6074	456	2	2	CARDINAL
ejpam-6074	456	3	g1	ORG
ejpam-6074	457	1	g1	ORG
ejpam-6074	458	1	sg1	CARDINAL
ejpam-6074	458	2	g1	ORG
ejpam-6074	458	3	sg1	CARDINAL
ejpam-6074	459	1	g1	ORG
ejpam-6074	461	1	sg2	ORG
ejpam-6074	461	2	2	CARDINAL
ejpam-6074	462	1	8	CARDINAL
ejpam-6074	462	2	3	CARDINAL
ejpam-6074	468	1	⊆	CARDINAL
ejpam-6074	468	2	g1	ORG
ejpam-6074	468	3	⊆	CARDINAL
ejpam-6074	468	4	2	CARDINAL
ejpam-6074	468	5	g1	ORG
ejpam-6074	468	6	8	CARDINAL
ejpam-6074	471	1	sg1 ∪sg2	PERSON
ejpam-6074	471	2	sg1 ∪s′ g2	FAC
ejpam-6074	471	3	g1	ORG
ejpam-6074	471	4	2	CARDINAL
ejpam-6074	471	5	g1	ORG
ejpam-6074	475	1	2	CARDINAL
ejpam-6074	475	2	8	CARDINAL
ejpam-6074	478	1	9	CARDINAL
ejpam-6074	480	1	2	CARDINAL
ejpam-6074	480	2	2 ≤	CARDINAL
ejpam-6074	481	1	2	CARDINAL
ejpam-6074	481	2	2	CARDINAL
ejpam-6074	482	1	2	CARDINAL
ejpam-6074	482	2	3	CARDINAL
ejpam-6074	483	1	2	CARDINAL
ejpam-6074	483	2	3	CARDINAL
ejpam-6074	484	1	2	CARDINAL
ejpam-6074	485	1	3	CARDINAL
ejpam-6074	485	2	3	CARDINAL
ejpam-6074	485	3	3	CARDINAL
ejpam-6074	485	4	3	CARDINAL
ejpam-6074	486	1	3	CARDINAL
ejpam-6074	487	1	r. estrella	PERSON
ejpam-6074	487	2	gina m. malacas	PERSON
ejpam-6074	487	3	s. canoy jr.	PERSON
ejpam-6074	488	1	j. pure	PERSON
ejpam-6074	488	2	18	CARDINAL
ejpam-6074	488	3	2	CARDINAL
ejpam-6074	488	4	2025	CARDINAL
ejpam-6074	488	5	6074 12	DATE
ejpam-6074	488	6	w ∈	PERSON
ejpam-6074	488	7	w ∈ n2	PERSON
ejpam-6074	492	1	4	CARDINAL
ejpam-6074	495	1	2	CARDINAL
ejpam-6074	495	2	1	CARDINAL
ejpam-6074	496	1	w	GPE
ejpam-6074	496	2	2	CARDINAL
ejpam-6074	496	3	2	CARDINAL
ejpam-6074	497	1	2	CARDINAL
ejpam-6074	498	1	∈	ORG
ejpam-6074	498	2	∈	ORG
ejpam-6074	498	3	2	CARDINAL
ejpam-6074	499	1	2	CARDINAL
ejpam-6074	499	2	∈	ORG
ejpam-6074	499	3	∈	ORG
ejpam-6074	502	1	∈	ORG
ejpam-6074	504	1	∈	ORG
ejpam-6074	506	1	t, i.e.	DATE
ejpam-6074	507	1	2	CARDINAL
ejpam-6074	510	1	2	CARDINAL
ejpam-6074	510	2	2	CARDINAL
ejpam-6074	510	3	2	CARDINAL
ejpam-6074	511	1	2	CARDINAL
ejpam-6074	511	2	xy ∈	PERSON
ejpam-6074	513	1	2	CARDINAL
ejpam-6074	514	1	2	CARDINAL
ejpam-6074	515	1	3	CARDINAL
ejpam-6074	515	2	2	CARDINAL
ejpam-6074	515	3	2	CARDINAL
ejpam-6074	515	4	3	CARDINAL
ejpam-6074	515	5	3	CARDINAL
ejpam-6074	517	1	3	CARDINAL
ejpam-6074	518	1	3	CARDINAL
ejpam-6074	519	1	3	CARDINAL
ejpam-6074	519	2	3	CARDINAL
ejpam-6074	519	3	3	CARDINAL
ejpam-6074	520	1	3	CARDINAL
ejpam-6074	521	1	∈	ORG
ejpam-6074	522	1	n2 g(y	PERSON
ejpam-6074	523	1	3	CARDINAL
ejpam-6074	523	2	2	CARDINAL
ejpam-6074	525	1	w ∈ n2 g(x	PERSON
ejpam-6074	525	2	n2 g(y	PERSON
ejpam-6074	525	3	∈	ORG
ejpam-6074	528	1	∈	ORG
ejpam-6074	529	1	∈	ORG
ejpam-6074	531	1	3	CARDINAL
ejpam-6074	531	2	2	CARDINAL
ejpam-6074	539	1	3	CARDINAL
ejpam-6074	539	2	3	CARDINAL
ejpam-6074	539	3	2	CARDINAL
ejpam-6074	539	4	r. estrella	PERSON
ejpam-6074	539	5	gina m. malacas	PERSON
ejpam-6074	539	6	s. canoy jr.	PERSON
ejpam-6074	540	1	j. pure	PERSON
ejpam-6074	540	2	18	CARDINAL
ejpam-6074	540	3	2	CARDINAL
ejpam-6074	540	4	2025	CARDINAL
ejpam-6074	540	5	6074 13	DATE
ejpam-6074	540	6	15	CARDINAL
ejpam-6074	540	7	3	CARDINAL
ejpam-6074	541	1	3	CARDINAL
ejpam-6074	541	2	2	CARDINAL
ejpam-6074	542	1	3	CARDINAL
ejpam-6074	543	1	3	CARDINAL
ejpam-6074	544	1	3	CARDINAL
ejpam-6074	547	1	∈	ORG
ejpam-6074	551	1	3	CARDINAL
ejpam-6074	554	1	cleary	PERSON
ejpam-6074	555	1	∈	ORG
ejpam-6074	555	2	t = q.	ORG
ejpam-6074	560	1	3	CARDINAL
ejpam-6074	561	1	9	CARDINAL
ejpam-6074	562	1	n ≥ 2.	ORG
ejpam-6074	564	1	2	CARDINAL
ejpam-6074	564	2	2 3	DATE
ejpam-6074	564	3	3 4	DATE
ejpam-6074	564	4	2	CARDINAL
ejpam-6074	564	5	2	CARDINAL
ejpam-6074	565	1	2	CARDINAL
ejpam-6074	566	1	2	CARDINAL
ejpam-6074	567	1	2	CARDINAL
ejpam-6074	568	1	2	CARDINAL
ejpam-6074	571	1	msu-iligan institute of technology	ORG
ejpam-6074	572	1	r. estrella	PERSON
ejpam-6074	572	2	gina m. malacas	PERSON
ejpam-6074	572	3	s. canoy jr.	PERSON
ejpam-6074	573	1	j. pure	PERSON
ejpam-6074	573	2	18	CARDINAL
ejpam-6074	573	3	2	CARDINAL
ejpam-6074	573	4	2025	CARDINAL
ejpam-6074	573	5	6074 14	DATE
ejpam-6074	573	6	15	CARDINAL
ejpam-6074	573	7	1	CARDINAL
ejpam-6074	573	8	j. blair	PERSON
ejpam-6074	573	9	r. gera	PERSON
ejpam-6074	573	10	s. horton	PERSON
ejpam-6074	575	1	77:103–123, 2011	DATE
ejpam-6074	576	1	2	CARDINAL
ejpam-6074	576	2	l. harutyunyan	PERSON
ejpam-6074	577	1	1−movable	CARDINAL
ejpam-6074	578	1	2015 8th	DATE
ejpam-6074	578	2	wmnc	PERSON
ejpam-6074	578	3	munich	GPE
ejpam-6074	578	4	germany	GPE
ejpam-6074	578	5	269–276	CARDINAL
ejpam-6074	578	6	2015	DATE
ejpam-6074	579	1	3	CARDINAL
ejpam-6074	579	2	r. hinampas jr	PERSON
ejpam-6074	579	3	s. canoy jr.	PERSON
ejpam-6074	579	4	1−movable	CARDINAL
ejpam-6074	580	1	8(172):8565–8571,	DATE
ejpam-6074	580	2	2014	DATE
ejpam-6074	581	1	4	CARDINAL
ejpam-6074	581	2	r. hinampas jr	PERSON
ejpam-6074	581	3	s. canoy jr.	PERSON
ejpam-6074	581	4	1-movable	QUANTITY
ejpam-6074	582	1	9(2):73–80	CARDINAL
ejpam-6074	582	2	2015	DATE
ejpam-6074	583	1	5	CARDINAL
ejpam-6074	583	2	j. lomarda	PERSON
ejpam-6074	583	3	s. canoy jr.	PERSON
ejpam-6074	583	4	1−movable	CARDINAL
ejpam-6074	584	1	8(55):2703–2709	CARDINAL
ejpam-6074	584	2	2014	DATE
ejpam-6074	585	1	6	CARDINAL
ejpam-6074	585	2	j. lomarda	PERSON
ejpam-6074	585	3	s. canoy jr.	PERSON
ejpam-6074	585	4	1−movable	CARDINAL
ejpam-6074	586	1	2015	DATE
ejpam-6074	587	1	7	CARDINAL
ejpam-6074	587	2	j. lomarda	PERSON
ejpam-6074	587	3	s. canoy jr.	PERSON
ejpam-6074	587	4	1−movable	CARDINAL
ejpam-6074	588	1	2015	DATE
ejpam-6074	589	1	8	CARDINAL
ejpam-6074	589	2	c. natarajan	PERSON
ejpam-6074	589	3	s. ayyaswamy	ORG
ejpam-6074	590	1	versita	PERSON
ejpam-6074	590	2	23(2):187	CARDINAL
ejpam-6074	590	3	199	CARDINAL
ejpam-6074	590	4	2015	DATE
ejpam-6074	591	1	9	CARDINAL
ejpam-6074	591	2	b. krishnakumari	PERSON
ejpam-6074	591	3	b. natarjan	PERSON
ejpam-6074	593	1	2015	DATE
ejpam-6074	594	1	10	CARDINAL
ejpam-6074	594	2	c. natarajan	PERSON
ejpam-6074	594	3	g. sathiamoorphy	PERSON
ejpam-6074	596	1	2018	DATE
ejpam-6074	597	1	11	CARDINAL
ejpam-6074	597	2	j. hassan	PERSON
ejpam-6074	597	3	s. canoy jr.	PERSON
ejpam-6074	597	4	a. aradais	PERSON
ejpam-6074	600	1	j. pure	PERSON
ejpam-6074	600	2	15(2):467–477	DATE
ejpam-6074	600	3	2022	CARDINAL
ejpam-6074	601	1	12	CARDINAL
ejpam-6074	601	2	j. hassan	PERSON
ejpam-6074	601	3	s. canoy jr.	PERSON
ejpam-6074	603	1	j. pure	PERSON
ejpam-6074	603	2	15(4):1783–1796	CARDINAL
ejpam-6074	603	3	2022	CARDINAL
ejpam-6074	604	1	13	CARDINAL
ejpam-6074	604	2	m. henning	PERSON
ejpam-6074	604	3	n. rad	PERSON
ejpam-6074	605	1	2	CARDINAL
ejpam-6074	606	1	33(4):913–927	DATE
ejpam-6074	606	2	2017	DATE
ejpam-6074	607	1	14	CARDINAL
ejpam-6074	607	2	s. canoy jr.	PERSON
ejpam-6074	607	3	r. mollejon	PERSON
ejpam-6074	607	4	j. g. canoy	PERSON
ejpam-6074	610	1	j. pure	PERSON
ejpam-6074	611	1	12(4):1455–1463,	DATE
ejpam-6074	611	2	2019	DATE
ejpam-6074	612	1	15	CARDINAL
ejpam-6074	612	2	s. canoy jr.	PERSON
ejpam-6074	612	3	g. salasalan	PERSON
ejpam-6074	615	1	j. pure	PERSON
ejpam-6074	615	2	14:1415–1428	CARDINAL
ejpam-6074	615	3	2021	DATE
ejpam-6074	616	1	16	CARDINAL
ejpam-6074	616	2	s. canoy jr.	PERSON
ejpam-6074	616	3	g. salasalan	PERSON
ejpam-6074	618	1	kyungpook mathematical journal.	ORG
ejpam-6074	618	2	62:193–204	CARDINAL
ejpam-6074	618	3	2022	CARDINAL
ejpam-6074	619	1	17	CARDINAL
ejpam-6074	619	2	h. rara	PERSON
ejpam-6074	621	1	asian	NORP
ejpam-6074	622	1	j. math	PERSON
ejpam-6074	622	2	11(5):1850075–1–1850075–11, 2018	DATE
ejpam-6074	623	1	18	CARDINAL
ejpam-6074	623	2	r. rakim	PERSON
ejpam-6074	623	3	h. rara	PERSON
ejpam-6074	623	4	c.j.	ORG
ejpam-6074	625	1	12(13):635–649, 2018	DATE
ejpam-6074	626	1	19	CARDINAL
ejpam-6074	626	2	g. salasalan	PERSON
ejpam-6074	626	3	s. canoy jr.	PERSON
ejpam-6074	628	1	j. r. estrella	PERSON
ejpam-6074	628	2	gina m. malacas	PERSON
ejpam-6074	628	3	s. canoy jr.	PERSON
ejpam-6074	629	1	j. pure	PERSON
ejpam-6074	629	2	18	CARDINAL
ejpam-6074	629	3	2	CARDINAL
ejpam-6074	629	4	2025	CARDINAL
ejpam-6074	629	5	6074 15	DATE
ejpam-6074	629	6	15	CARDINAL
ejpam-6074	629	7	14(1):112–125	DATE
ejpam-6074	629	8	2021	DATE
ejpam-6074	630	1	20	CARDINAL
ejpam-6074	630	2	s. canoy jr.	PERSON
ejpam-6074	630	3	j. hassan	PERSON
ejpam-6074	630	4	c.j.	GPE
ejpam-6074	633	1	j. pure	PERSON
ejpam-6074	633	2	16(1):319–335	DATE
ejpam-6074	633	3	2023	CARDINAL