id	sid	eid	entity	type
ejpam-7078	1	1	european journal	ORG
ejpam-7078	1	2	2025	DATE
ejpam-7078	1	3	18	CARDINAL
ejpam-7078	1	4	4	CARDINAL
ejpam-7078	1	5	7078	CARDINAL
ejpam-7078	1	6	1307-5543	CARDINAL
ejpam-7078	1	7	new york	GPE
ejpam-7078	1	8	f. casinillo1	PERSON
ejpam-7078	1	9	sergio r. canoy	PERSON
ejpam-7078	1	10	jr.1,2,∗ 1	ORG
ejpam-7078	1	11	msu-iligan institute of technology	ORG
ejpam-7078	1	12	9200	CARDINAL
ejpam-7078	1	13	iligan city	GPE
ejpam-7078	1	14	2	CARDINAL
ejpam-7078	1	15	institute of science	ORG
ejpam-7078	1	16	msu-iligan institute of technology	ORG
ejpam-7078	1	17	9200	CARDINAL
ejpam-7078	1	18	iligan city	GPE
ejpam-7078	1	19	philippines	GPE
ejpam-7078	2	1	letg =	PERSON
ejpam-7078	3	1	0	CARDINAL
ejpam-7078	3	2	1	DATE
ejpam-7078	3	3	2	CARDINAL
ejpam-7078	3	4	0	CARDINAL
ejpam-7078	3	5	w	GPE
ejpam-7078	3	6	∈	ORG
ejpam-7078	3	7	2	CARDINAL
ejpam-7078	3	8	2	CARDINAL
ejpam-7078	3	9	n2 g(u	PRODUCT
ejpam-7078	6	1	y∈v	TIME
ejpam-7078	7	1	min{ωshr	PERSON
ejpam-7078	11	1	2020	DATE
ejpam-7078	11	2	05c69	CARDINAL
ejpam-7078	11	3	1	CARDINAL
ejpam-7078	12	1	1	CARDINAL
ejpam-7078	12	2	2	CARDINAL
ejpam-7078	12	3	3	CARDINAL
ejpam-7078	12	4	4	CARDINAL
ejpam-7078	12	5	5	CARDINAL
ejpam-7078	12	6	6	CARDINAL
ejpam-7078	12	7	8	CARDINAL
ejpam-7078	12	8	9	CARDINAL
ejpam-7078	15	1	5	CARDINAL
ejpam-7078	15	2	2004	DATE
ejpam-7078	15	3	constantine	PERSON
ejpam-7078	15	4	the fourth century	DATE
ejpam-7078	15	5	a.d.	GPE
ejpam-7078	16	1	10	CARDINAL
ejpam-7078	16	2	11	CARDINAL
ejpam-7078	16	3	12	CARDINAL
ejpam-7078	17	1	the year 2017	DATE
ejpam-7078	17	2	shabani et al	PERSON
ejpam-7078	18	1	13	CARDINAL
ejpam-7078	20	1	leomarich.casinillo@g.msuiit.edu.ph	ORG
ejpam-7078	20	2	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-7078	20	3	s. r. canoy jr.	PERSON
ejpam-7078	21	1	1	CARDINAL
ejpam-7078	21	2	2025	CARDINAL
ejpam-7078	22	1	l. f. casinillo	PERSON
ejpam-7078	22	2	s. r. canoy jr.	PERSON
ejpam-7078	23	1	j. pure	PERSON
ejpam-7078	23	2	18	CARDINAL
ejpam-7078	23	3	4	CARDINAL
ejpam-7078	23	4	2025	CARDINAL
ejpam-7078	23	5	2	CARDINAL
ejpam-7078	23	6	15	CARDINAL
ejpam-7078	24	1	14	CARDINAL
ejpam-7078	30	1	15	CARDINAL
ejpam-7078	31	1	16	CARDINAL
ejpam-7078	32	1	6	CARDINAL
ejpam-7078	34	1	xy ∈	PERSON
ejpam-7078	34	2	∈	ORG
ejpam-7078	35	1	⊆	CARDINAL
ejpam-7078	36	1	⋃ v∈o ng(v	DATE
ejpam-7078	37	1	two	CARDINAL
ejpam-7078	38	1	n2 g(v	ORG
ejpam-7078	40	1	2	CARDINAL
ejpam-7078	40	2	n2 g(v	ORG
ejpam-7078	40	3	⊆	CARDINAL
ejpam-7078	41	1	⋃ v∈h n2 g(v	PERSON
ejpam-7078	43	1	6	CARDINAL
ejpam-7078	46	1	γ(g	NORP
ejpam-7078	46	2	⊆	CARDINAL
ejpam-7078	46	3	∈	ORG
ejpam-7078	46	4	∈	ORG
ejpam-7078	46	5	n(v)∩	PERSON
ejpam-7078	47	1	8	CARDINAL
ejpam-7078	50	1	⊆	CARDINAL
ejpam-7078	50	2	∈	ORG
ejpam-7078	50	3	∈	PERSON
ejpam-7078	50	4	2	CARDINAL
ejpam-7078	51	1	17	CARDINAL
ejpam-7078	52	1	⊆	CARDINAL
ejpam-7078	52	2	∈	ORG
ejpam-7078	53	1	n2 g(u	PRODUCT
ejpam-7078	54	1	18	CARDINAL
ejpam-7078	55	1	18	CARDINAL
ejpam-7078	55	2	19	CARDINAL
ejpam-7078	56	1	20	CARDINAL
ejpam-7078	57	1	21	CARDINAL
ejpam-7078	58	1	22	CARDINAL
ejpam-7078	58	2	23	CARDINAL
ejpam-7078	59	1	0	CARDINAL
ejpam-7078	59	2	1	DATE
ejpam-7078	59	3	2	CARDINAL
ejpam-7078	59	4	∈	ORG
ejpam-7078	59	5	∈	ORG
ejpam-7078	60	1	1	CARDINAL
ejpam-7078	60	2	l. f. casinillo	PERSON
ejpam-7078	60	3	s. r. canoy jr.	PERSON
ejpam-7078	61	1	j. pure	PERSON
ejpam-7078	61	2	18	CARDINAL
ejpam-7078	61	3	4	CARDINAL
ejpam-7078	61	4	2025	CARDINAL
ejpam-7078	61	5	7078 3	DATE
ejpam-7078	61	6	15	CARDINAL
ejpam-7078	61	7	∈	ORG
ejpam-7078	61	8	2	CARDINAL
ejpam-7078	63	1	∈	PRODUCT
ejpam-7078	64	1	2	CARDINAL
ejpam-7078	65	1	∑ v∈v	PERSON
ejpam-7078	66	1	min{ωhr g	PERSON
ejpam-7078	68	1	∈	PRODUCT
ejpam-7078	68	2	w ∈ v1	PERSON
ejpam-7078	68	3	n2 g(w	ORG
ejpam-7078	72	1	min{ωshr	PERSON
ejpam-7078	74	1	10	CARDINAL
ejpam-7078	74	2	1	CARDINAL
ejpam-7078	76	1	8	CARDINAL
ejpam-7078	76	2	0	CARDINAL
ejpam-7078	76	3	0	CARDINAL
ejpam-7078	76	4	1	CARDINAL
ejpam-7078	76	5	0	CARDINAL
ejpam-7078	77	1	1	CARDINAL
ejpam-7078	77	2	1	CARDINAL
ejpam-7078	77	3	8	CARDINAL
ejpam-7078	78	1	l. f. casinillo	PERSON
ejpam-7078	78	2	s. r. canoy jr.	PERSON
ejpam-7078	79	1	j. pure	PERSON
ejpam-7078	79	2	18	CARDINAL
ejpam-7078	79	3	4	CARDINAL
ejpam-7078	79	4	2025	CARDINAL
ejpam-7078	79	5	7078 4	DATE
ejpam-7078	80	1	2	CARDINAL
ejpam-7078	80	2	canoy et al	PERSON
ejpam-7078	81	1	18	CARDINAL
ejpam-7078	82	1	1	CARDINAL
ejpam-7078	85	1	2	CARDINAL
ejpam-7078	88	1	g′	PERSON
ejpam-7078	89	1	1	CARDINAL
ejpam-7078	91	1	g = kn	PERSON
ejpam-7078	96	1	2γsh(g	CARDINAL
ejpam-7078	99	1	∈	ORG
ejpam-7078	100	1	w ∈	PERSON
ejpam-7078	101	1	w ∈ v2	PERSON
ejpam-7078	103	1	|w1|+ 2|w2|	CARDINAL
ejpam-7078	104	1	1	CARDINAL
ejpam-7078	104	2	1	CARDINAL
ejpam-7078	104	3	0	CARDINAL
ejpam-7078	105	1	0	CARDINAL
ejpam-7078	105	2	0	CARDINAL
ejpam-7078	107	1	l. f. casinillo	PERSON
ejpam-7078	107	2	s. r. canoy jr.	PERSON
ejpam-7078	108	1	j. pure	PERSON
ejpam-7078	108	2	18	CARDINAL
ejpam-7078	108	3	4	CARDINAL
ejpam-7078	108	4	2025	CARDINAL
ejpam-7078	108	5	7078 5 of 15	DATE
ejpam-7078	108	6	v2 = v2	PERSON
ejpam-7078	109	1	2	CARDINAL
ejpam-7078	112	1	2	CARDINAL
ejpam-7078	113	1	2|w2|	CARDINAL
ejpam-7078	115	1	2γsh(g	CARDINAL
ejpam-7078	116	1	1	CARDINAL
ejpam-7078	117	1	1	CARDINAL
ejpam-7078	120	1	1 ≤ |v1|	QUANTITY
ejpam-7078	121	1	0	CARDINAL
ejpam-7078	124	1	∈	PRODUCT
ejpam-7078	124	2	v2 ∩ n2 g(v	PRODUCT
ejpam-7078	128	1	1(i	CARDINAL
ejpam-7078	129	1	wv ∈	ORG
ejpam-7078	131	1	∈	ORG
ejpam-7078	134	1	⊆	CARDINAL
ejpam-7078	138	1	0	CARDINAL
ejpam-7078	140	1	2γsh(g	CARDINAL
ejpam-7078	141	1	1	CARDINAL
ejpam-7078	143	1	2	CARDINAL
ejpam-7078	145	1	1 ≤	QUANTITY
ejpam-7078	148	1	1	CARDINAL
ejpam-7078	148	2	1 ≤	QUANTITY
ejpam-7078	149	1	1 ≤	QUANTITY
ejpam-7078	151	1	g	PERSON
ejpam-7078	152	1	2|v2| < |v1|+	MONEY
ejpam-7078	152	2	n. l. f. casinillo	PERSON
ejpam-7078	152	3	s. r. canoy jr.	PERSON
ejpam-7078	153	1	j. pure	PERSON
ejpam-7078	153	2	18	CARDINAL
ejpam-7078	153	3	4	CARDINAL
ejpam-7078	153	4	2025	CARDINAL
ejpam-7078	153	5	6 of 15	CARDINAL
ejpam-7078	154	1	1(i	CARDINAL
ejpam-7078	155	1	1	CARDINAL
ejpam-7078	155	2	1 ≤	QUANTITY
ejpam-7078	158	1	1(i	CARDINAL
ejpam-7078	159	1	3	CARDINAL
ejpam-7078	161	1	∈	PRODUCT
ejpam-7078	163	1	1	CARDINAL
ejpam-7078	164	1	∈	ORG
ejpam-7078	167	1	2	CARDINAL
ejpam-7078	168	1	2	CARDINAL
ejpam-7078	169	1	n2 g(v	ORG
ejpam-7078	170	1	∩ v2 = {	PERSON
ejpam-7078	175	1	4	CARDINAL
ejpam-7078	180	1	1	CARDINAL
ejpam-7078	184	1	2	CARDINAL
ejpam-7078	186	1	1	CARDINAL
ejpam-7078	187	1	′ 1	DATE
ejpam-7078	190	1	2|s|	CARDINAL
ejpam-7078	190	2	2γsh(g	CARDINAL
ejpam-7078	191	1	2γsh(g	CARDINAL
ejpam-7078	191	2	1	CARDINAL
ejpam-7078	194	1	l. f. casinillo	PERSON
ejpam-7078	194	2	s. r. canoy jr.	PERSON
ejpam-7078	195	1	j. pure	PERSON
ejpam-7078	195	2	18	CARDINAL
ejpam-7078	195	3	4	CARDINAL
ejpam-7078	195	4	2025	CARDINAL
ejpam-7078	195	5	7078 7	DATE
ejpam-7078	195	6	15	CARDINAL
ejpam-7078	196	1	g1	ORG
ejpam-7078	198	1	gk	PERSON
ejpam-7078	201	1	1	CARDINAL
ejpam-7078	201	2	2	DATE
ejpam-7078	205	1	1	CARDINAL
ejpam-7078	205	2	2	DATE
ejpam-7078	205	3	1	CARDINAL
ejpam-7078	206	1	2	CARDINAL
ejpam-7078	206	2	1	CARDINAL
ejpam-7078	206	3	2	DATE
ejpam-7078	207	1	j ∈	PERSON
ejpam-7078	207	2	1	CARDINAL
ejpam-7078	207	3	2	DATE
ejpam-7078	208	1	∈	ORG
ejpam-7078	209	1	w ∈ v2	PERSON
ejpam-7078	210	1	2	CARDINAL
ejpam-7078	211	1	w ∈	ORG
ejpam-7078	211	2	j 2	PERSON
ejpam-7078	211	3	2	CARDINAL
ejpam-7078	212	1	n2 g(z	PRODUCT
ejpam-7078	213	1	∈	ORG
ejpam-7078	213	2	j 2	PERSON
ejpam-7078	215	1	g	PERSON
ejpam-7078	215	2	2|v2|	ORG
ejpam-7078	216	1	j 1 |+ 2	PERSON
ejpam-7078	216	2	j 2	PERSON
ejpam-7078	217	1	j 1 |+ 2	PERSON
ejpam-7078	217	2	j 2 |	PERSON
ejpam-7078	218	1	w j 1	PERSON
ejpam-7078	218	2	w j 2	PRODUCT
ejpam-7078	218	3	1	CARDINAL
ejpam-7078	218	4	2	DATE
ejpam-7078	219	1	⋃k	CARDINAL
ejpam-7078	219	2	j 0	PERSON
ejpam-7078	219	3	⋃k	CARDINAL
ejpam-7078	219	4	j 1	PERSON
ejpam-7078	219	5	j 2	PERSON
ejpam-7078	221	1	∈	ORG
ejpam-7078	221	2	1	CARDINAL
ejpam-7078	221	3	2	DATE
ejpam-7078	222	1	w ∈	PERSON
ejpam-7078	223	1	2	CARDINAL
ejpam-7078	223	2	w ∈ v2	PERSON
ejpam-7078	224	1	∈	ORG
ejpam-7078	224	2	2	CARDINAL
ejpam-7078	224	3	n2 g(z	ORG
ejpam-7078	227	1	1	CARDINAL
ejpam-7078	227	2	2	DATE
ejpam-7078	229	1	∣∣w	ORG
ejpam-7078	231	1	j 1 |+ 2	PERSON
ejpam-7078	232	1	∣∣w	ORG
ejpam-7078	232	2	2	CARDINAL
ejpam-7078	234	1	l. f. casinillo	PERSON
ejpam-7078	234	2	s. r. canoy jr.	PERSON
ejpam-7078	235	1	j. pure	PERSON
ejpam-7078	235	2	18	CARDINAL
ejpam-7078	235	3	4	CARDINAL
ejpam-7078	235	4	2025	CARDINAL
ejpam-7078	235	5	7078 8	DATE
ejpam-7078	235	6	15	CARDINAL
ejpam-7078	235	7	2	CARDINAL
ejpam-7078	236	1	g1	ORG
ejpam-7078	238	1	gk	PERSON
ejpam-7078	238	2	1	CARDINAL
ejpam-7078	238	3	2	DATE
ejpam-7078	238	4	k}	PERSON
ejpam-7078	240	1	2	CARDINAL
ejpam-7078	240	2	4	CARDINAL
ejpam-7078	240	3	5	CARDINAL
ejpam-7078	242	1	1	CARDINAL
ejpam-7078	242	2	2	CARDINAL
ejpam-7078	243	1	3	CARDINAL
ejpam-7078	246	1	1	CARDINAL
ejpam-7078	246	2	1	CARDINAL
ejpam-7078	247	1	0	CARDINAL
ejpam-7078	247	2	1(i	CARDINAL
ejpam-7078	247	3	0	CARDINAL
ejpam-7078	248	1	1	CARDINAL
ejpam-7078	250	1	2	CARDINAL
ejpam-7078	250	2	1	CARDINAL
ejpam-7078	252	1	2	CARDINAL
ejpam-7078	252	2	∩	PERSON
ejpam-7078	254	1	0	CARDINAL
ejpam-7078	255	1	2	CARDINAL
ejpam-7078	259	1	2	CARDINAL
ejpam-7078	259	2	3	CARDINAL
ejpam-7078	260	1	0	CARDINAL
ejpam-7078	260	2	3	CARDINAL
ejpam-7078	261	1	1	CARDINAL
ejpam-7078	261	2	1	CARDINAL
ejpam-7078	261	3	1	CARDINAL
ejpam-7078	262	1	∈	ORG
ejpam-7078	263	1	2	CARDINAL
ejpam-7078	263	2	∈	PRODUCT
ejpam-7078	263	3	ng(v)∩ng(u	PRODUCT
ejpam-7078	264	1	∈	ORG
ejpam-7078	266	1	w ∈	PERSON
ejpam-7078	268	1	1	CARDINAL
ejpam-7078	268	2	w ∈	ORG
ejpam-7078	268	3	2	CARDINAL
ejpam-7078	271	1	3	CARDINAL
ejpam-7078	273	1	6	CARDINAL
ejpam-7078	275	1	4	CARDINAL
ejpam-7078	275	2	one	CARDINAL
ejpam-7078	275	3	4	CARDINAL
ejpam-7078	275	4	n2 g(v	ORG
ejpam-7078	275	5	y ∈ n2 g(q	PERSON
ejpam-7078	276	1	l. f. casinillo	PERSON
ejpam-7078	276	2	s. r. canoy jr.	PERSON
ejpam-7078	277	1	j. pure	PERSON
ejpam-7078	277	2	18	CARDINAL
ejpam-7078	277	3	4	CARDINAL
ejpam-7078	277	4	2025	CARDINAL
ejpam-7078	277	5	7078 9	DATE
ejpam-7078	277	6	15	CARDINAL
ejpam-7078	279	1	4	CARDINAL
ejpam-7078	279	2	4	CARDINAL
ejpam-7078	280	1	first	ORDINAL
ejpam-7078	280	2	0	CARDINAL
ejpam-7078	281	1	4	CARDINAL
ejpam-7078	282	1	1	CARDINAL
ejpam-7078	282	2	1	CARDINAL
ejpam-7078	282	3	1	CARDINAL
ejpam-7078	282	4	3	CARDINAL
ejpam-7078	283	1	∈	ORG
ejpam-7078	284	1	n2 g(v	ORG
ejpam-7078	285	1	|ng(p)∩v0|	DATE
ejpam-7078	285	2	1	CARDINAL
ejpam-7078	286	1	2	CARDINAL
ejpam-7078	286	2	3	CARDINAL
ejpam-7078	288	1	4 ≤	CARDINAL
ejpam-7078	289	1	1	CARDINAL
ejpam-7078	289	2	4	CARDINAL
ejpam-7078	289	3	2	CARDINAL
ejpam-7078	289	4	5	CARDINAL
ejpam-7078	291	1	n2	ORG
ejpam-7078	292	1	∈	ORG
ejpam-7078	293	1	y ∈ n2 g(v	PERSON
ejpam-7078	295	1	∈	ORG
ejpam-7078	296	1	∈	ORG
ejpam-7078	298	1	2	CARDINAL
ejpam-7078	298	2	1	CARDINAL
ejpam-7078	298	3	2	CARDINAL
ejpam-7078	299	1	4	CARDINAL
ejpam-7078	299	2	first	ORDINAL
ejpam-7078	299	3	4	CARDINAL
ejpam-7078	299	4	4	CARDINAL
ejpam-7078	299	5	3	CARDINAL
ejpam-7078	300	1	4	CARDINAL
ejpam-7078	303	1	3	CARDINAL
ejpam-7078	303	2	4	CARDINAL
ejpam-7078	304	1	n ≥ 1	ORG
ejpam-7078	305	1	n ≤ 8	FAC
ejpam-7078	305	2	n ≥ 9	DATE
ejpam-7078	305	3	10	CARDINAL
ejpam-7078	310	1	2	CARDINAL
ejpam-7078	311	1	∈	PRODUCT
ejpam-7078	311	2	2	CARDINAL
ejpam-7078	313	1	n2 g(a	ORG
ejpam-7078	313	2	n2	PRODUCT
ejpam-7078	315	1	n ≥ 9	DATE
ejpam-7078	315	2	n ≤ 8	PRODUCT
ejpam-7078	318	1	n ≥ 9	DATE
ejpam-7078	319	1	1	CARDINAL
ejpam-7078	320	1	10k	CARDINAL
ejpam-7078	321	1	k ∈ n.	PERSON
ejpam-7078	322	1	10	CARDINAL
ejpam-7078	322	2	10	CARDINAL
ejpam-7078	323	1	1	CARDINAL
ejpam-7078	323	2	2	DATE
ejpam-7078	324	1	w1 = k⋃ i=1 si	PERSON
ejpam-7078	324	2	k⋃ i=1 di	PERSON
ejpam-7078	325	1	2	CARDINAL
ejpam-7078	325	2	vl ∈	ORG
ejpam-7078	326	1	|w1|+ 2|w2|	CARDINAL
ejpam-7078	328	1	2	CARDINAL
ejpam-7078	328	2	i=1	GPE
ejpam-7078	329	1	|di| l. f. casinillo	PERSON
ejpam-7078	329	2	s. r. canoy jr.	PERSON
ejpam-7078	330	1	j. pure	PERSON
ejpam-7078	330	2	18	CARDINAL
ejpam-7078	330	3	4	CARDINAL
ejpam-7078	330	4	2025	CARDINAL
ejpam-7078	330	5	10	CARDINAL
ejpam-7078	330	6	15	CARDINAL
ejpam-7078	330	7	3k	CARDINAL
ejpam-7078	331	1	9k	CARDINAL
ejpam-7078	331	2	10k	CARDINAL
ejpam-7078	331	3	− k	PERSON
ejpam-7078	332	1	10	CARDINAL
ejpam-7078	333	1	2	CARDINAL
ejpam-7078	333	2	10	CARDINAL
ejpam-7078	333	3	1 ≤	QUANTITY
ejpam-7078	333	4	10k +	DATE
ejpam-7078	333	5	k ∈ n	PERSON
ejpam-7078	334	1	10	CARDINAL
ejpam-7078	334	2	10	CARDINAL
ejpam-7078	334	3	1	CARDINAL
ejpam-7078	334	4	2	DATE
ejpam-7078	334	5	8	CARDINAL
ejpam-7078	335	1	1	CARDINAL
ejpam-7078	336	1	1	CARDINAL
ejpam-7078	336	2	2	DATE
ejpam-7078	337	1	k⋃	PERSON
ejpam-7078	337	2	vn−r+1	ORG
ejpam-7078	337	3	1 ≤	QUANTITY
ejpam-7078	337	4	2	CARDINAL
ejpam-7078	337	5	d′	PERSON
ejpam-7078	340	1	1 ∪w	CARDINAL
ejpam-7078	340	2	2	CARDINAL
ejpam-7078	341	1	g′	PERSON
ejpam-7078	341	2	w ′ 0,w	DATE
ejpam-7078	343	1	∈	ORG
ejpam-7078	344	1	2	CARDINAL
ejpam-7078	344	2	2	CARDINAL
ejpam-7078	344	3	1 ∪w	CARDINAL
ejpam-7078	344	4	n2 g(w ′	ORG
ejpam-7078	347	1	g′	PERSON
ejpam-7078	350	1	1|+	CARDINAL
ejpam-7078	350	2	2|	CARDINAL
ejpam-7078	352	1	i=1	GPE
ejpam-7078	353	1	3k	CARDINAL
ejpam-7078	355	1	10k +	DATE
ejpam-7078	357	1	∈	ORG
ejpam-7078	357	2	1	CARDINAL
ejpam-7078	357	3	2	DATE
ejpam-7078	357	4	8	CARDINAL
ejpam-7078	358	1	3	CARDINAL
ejpam-7078	359	1	10	CARDINAL
ejpam-7078	362	1	10	CARDINAL
ejpam-7078	363	1	1	CARDINAL
ejpam-7078	364	1	1	CARDINAL
ejpam-7078	364	2	2	DATE
ejpam-7078	365	1	w ′′	ORG
ejpam-7078	365	2	1	CARDINAL
ejpam-7078	365	3	k⋃	PERSON
ejpam-7078	365	4	w ′′	ORG
ejpam-7078	365	5	2	CARDINAL
ejpam-7078	365	6	k⋃	PERSON
ejpam-7078	365	7	w	GPE
ejpam-7078	367	1	w ′′	ORG
ejpam-7078	367	2	1	CARDINAL
ejpam-7078	367	3	′′ 2	ORG
ejpam-7078	368	1	g′′	PERSON
ejpam-7078	368	2	w ′′	ORG
ejpam-7078	368	3	w ′′ 1	ORG
ejpam-7078	368	4	w ′′	ORG
ejpam-7078	368	5	2	CARDINAL
ejpam-7078	368	6	∈	ORG
ejpam-7078	368	7	2	CARDINAL
ejpam-7078	368	8	2	CARDINAL
ejpam-7078	368	9	w	ORG
ejpam-7078	368	10	1	CARDINAL
ejpam-7078	368	11	′′ 2	ORG
ejpam-7078	368	12	n2 g(w ′′	ORG
ejpam-7078	369	1	′′	ORG
ejpam-7078	370	1	g′′	PERSON
ejpam-7078	371	1	g	PERSON
ejpam-7078	371	2	g′′	PERSON
ejpam-7078	372	1	′′	ORG
ejpam-7078	372	2	2	CARDINAL
ejpam-7078	376	1	i=1 |d′′ i |+ 3	PERSON
ejpam-7078	376	2	l. f. casinillo	PERSON
ejpam-7078	376	3	s. r. canoy jr.	PERSON
ejpam-7078	377	1	j. pure	PERSON
ejpam-7078	377	2	18	CARDINAL
ejpam-7078	377	3	4	CARDINAL
ejpam-7078	377	4	2025	CARDINAL
ejpam-7078	377	5	7078 11	DATE
ejpam-7078	377	6	15	CARDINAL
ejpam-7078	377	7	3p+	CARDINAL
ejpam-7078	377	8	8	CARDINAL
ejpam-7078	377	9	9)−	CARDINAL
ejpam-7078	377	10	1	CARDINAL
ejpam-7078	378	1	10	CARDINAL
ejpam-7078	380	1	4	CARDINAL
ejpam-7078	383	1	3	CARDINAL
ejpam-7078	383	2	4	DATE
ejpam-7078	383	3	6	DATE
ejpam-7078	383	4	7	DATE
ejpam-7078	383	5	8	DATE
ejpam-7078	383	6	9	CARDINAL
ejpam-7078	383	7	4	CARDINAL
ejpam-7078	383	8	5	CARDINAL
ejpam-7078	383	9	n ≥ 10	DATE
ejpam-7078	387	1	1	CARDINAL
ejpam-7078	388	1	0	CARDINAL
ejpam-7078	389	1	1(i	CARDINAL
ejpam-7078	392	1	2	CARDINAL
ejpam-7078	394	1	2	CARDINAL
ejpam-7078	394	2	2	CARDINAL
ejpam-7078	396	1	⊆	CARDINAL
ejpam-7078	397	1	⊆	CARDINAL
ejpam-7078	400	1	|v1|+ |v2|+ 1 = |v1|+	MONEY
ejpam-7078	401	1	1	CARDINAL
ejpam-7078	402	1	1	CARDINAL
ejpam-7078	407	1	⊆	CARDINAL
ejpam-7078	412	1	|v1|	CARDINAL
ejpam-7078	413	1	∈	ORG
ejpam-7078	416	1	⊆ n2	QUANTITY
ejpam-7078	417	1	⊆	CARDINAL
ejpam-7078	418	1	⊆	CARDINAL
ejpam-7078	420	1	l. f. casinillo	PERSON
ejpam-7078	420	2	s. r. canoy jr.	PERSON
ejpam-7078	421	1	j. pure	PERSON
ejpam-7078	421	2	18	CARDINAL
ejpam-7078	421	3	4	CARDINAL
ejpam-7078	421	4	2025	CARDINAL
ejpam-7078	421	5	7078 12	DATE
ejpam-7078	421	6	15	CARDINAL
ejpam-7078	422	1	2|v2|	ORG
ejpam-7078	422	2	2	CARDINAL
ejpam-7078	423	1	andh	GPE
ejpam-7078	423	2	graphg+h	ORG
ejpam-7078	423	3	∈	ORG
ejpam-7078	424	1	9	CARDINAL
ejpam-7078	427	1	⊆	CARDINAL
ejpam-7078	429	1	xy ∈	PERSON
ejpam-7078	430	1	v2	PRODUCT
ejpam-7078	432	1	⊆	CARDINAL
ejpam-7078	433	1	1	CARDINAL
ejpam-7078	433	2	2	CARDINAL
ejpam-7078	433	3	0	CARDINAL
ejpam-7078	433	4	1	CARDINAL
ejpam-7078	433	5	2	CARDINAL
ejpam-7078	434	1	∈	ORG
ejpam-7078	434	2	0	CARDINAL
ejpam-7078	435	1	w ∈ v2∩n2 g(v	PERSON
ejpam-7078	436	1	w ∈	PERSON
ejpam-7078	436	2	2	CARDINAL
ejpam-7078	436	3	n2 g(z	PRODUCT
ejpam-7078	437	1	∈	ORG
ejpam-7078	437	2	2	CARDINAL
ejpam-7078	440	1	1	CARDINAL
ejpam-7078	440	2	2	CARDINAL
ejpam-7078	440	3	1	CARDINAL
ejpam-7078	440	4	kn	PERSON
ejpam-7078	442	1	0 ⊆	CARDINAL
ejpam-7078	443	1	1 ∪ v n	MONEY
ejpam-7078	443	2	∈	ORG
ejpam-7078	444	1	1	CARDINAL
ejpam-7078	444	2	2	CARDINAL
ejpam-7078	444	3	∈	ORG
ejpam-7078	445	1	∈	ORG
ejpam-7078	445	2	2	CARDINAL
ejpam-7078	445	3	n2 h(z)∩v0	PRODUCT
ejpam-7078	446	1	1 ∪v	MONEY
ejpam-7078	446	2	2 ⊆	CARDINAL
ejpam-7078	446	3	∈	ORG
ejpam-7078	447	1	9	CARDINAL
ejpam-7078	448	1	3	CARDINAL
ejpam-7078	452	1	0	CARDINAL
ejpam-7078	453	1	′ 1	CARDINAL
ejpam-7078	453	2	2	CARDINAL
ejpam-7078	454	1	2	CARDINAL
ejpam-7078	454	2	kn + g	PERSON
ejpam-7078	454	3	9	CARDINAL
ejpam-7078	456	1	′ 1 |+	DATE
ejpam-7078	459	1	v1|	ORG
ejpam-7078	461	1	l. f. casinillo	PERSON
ejpam-7078	461	2	s. r. canoy jr.	PERSON
ejpam-7078	462	1	j. pure	PERSON
ejpam-7078	462	2	18	CARDINAL
ejpam-7078	462	3	4	CARDINAL
ejpam-7078	462	4	2025	CARDINAL
ejpam-7078	462	5	7078 13	DATE
ejpam-7078	462	6	15	CARDINAL
ejpam-7078	462	7	kn + g.	PERSON
ejpam-7078	462	8	9	CARDINAL
ejpam-7078	462	9	⊆	CARDINAL
ejpam-7078	462	10	⊆	CARDINAL
ejpam-7078	462	11	w1 ∩	ORG
ejpam-7078	463	1	w0,w1	PERSON
ejpam-7078	463	2	kn+g(h	PERSON
ejpam-7078	463	3	|w1|+ 2|w2|	CARDINAL
ejpam-7078	463	4	2|w2|	CARDINAL
ejpam-7078	467	1	3	CARDINAL
ejpam-7078	469	1	1	CARDINAL
ejpam-7078	469	2	1	CARDINAL
ejpam-7078	470	1	n ≥ 9	DATE
ejpam-7078	470	2	10 ⌋.	MONEY
ejpam-7078	470	3	1	CARDINAL
ejpam-7078	470	4	3 ≤ n ≤ 9	QUANTITY
ejpam-7078	470	5	n−	ORG
ejpam-7078	471	1	n ≥ 10	DATE
ejpam-7078	471	2	10	CARDINAL
ejpam-7078	478	1	0	CARDINAL
ejpam-7078	478	2	1	DATE
ejpam-7078	478	3	2	CARDINAL
ejpam-7078	479	1	1	CARDINAL
ejpam-7078	479	2	2	CARDINAL
ejpam-7078	479	3	1	CARDINAL
ejpam-7078	479	4	2	CARDINAL
ejpam-7078	479	5	0	CARDINAL
ejpam-7078	480	1	∈	PRODUCT
ejpam-7078	480	2	2	CARDINAL
ejpam-7078	480	3	w ∈	PERSON
ejpam-7078	481	1	vx ∈	PERSON
ejpam-7078	481	2	∈	ORG
ejpam-7078	481	3	2	CARDINAL
ejpam-7078	481	4	w ∈	PERSON
ejpam-7078	481	5	1	CARDINAL
ejpam-7078	481	6	2	CARDINAL
ejpam-7078	481	7	2	CARDINAL
ejpam-7078	485	1	0	CARDINAL
ejpam-7078	486	1	0	CARDINAL
ejpam-7078	487	1	2	CARDINAL
ejpam-7078	488	1	2	CARDINAL
ejpam-7078	488	2	w′ ∈	PERSON
ejpam-7078	488	3	1	CARDINAL
ejpam-7078	488	4	2	CARDINAL
ejpam-7078	488	5	n2 g(w ′	ORG
ejpam-7078	489	1	2 ⊂	PERCENT
ejpam-7078	489	2	1	CARDINAL
ejpam-7078	489	3	2	CARDINAL
ejpam-7078	489	4	∈	PRODUCT
ejpam-7078	490	1	2	CARDINAL
ejpam-7078	491	1	g+h	PRODUCT
ejpam-7078	492	1	l. f. casinillo	PERSON
ejpam-7078	492	2	s. r. canoy jr.	PERSON
ejpam-7078	493	1	j. pure	PERSON
ejpam-7078	493	2	18	CARDINAL
ejpam-7078	493	3	4	CARDINAL
ejpam-7078	493	4	2025	CARDINAL
ejpam-7078	493	5	14	CARDINAL
ejpam-7078	493	6	15	CARDINAL
ejpam-7078	493	7	10	CARDINAL
ejpam-7078	495	1	two	CARDINAL
ejpam-7078	496	1	γshr(g+h	NORP
ejpam-7078	497	1	γshr(g)+γshr(h	PERSON
ejpam-7078	499	1	1	CARDINAL
ejpam-7078	499	2	2	CARDINAL
ejpam-7078	500	1	1	CARDINAL
ejpam-7078	500	2	2	CARDINAL
ejpam-7078	500	3	g and h	ORG
ejpam-7078	504	1	0	CARDINAL
ejpam-7078	504	2	1	DATE
ejpam-7078	504	3	2	CARDINAL
ejpam-7078	506	1	10	CARDINAL
ejpam-7078	506	2	g+h	PRODUCT
ejpam-7078	507	1	2|v2|	ORG
ejpam-7078	507	2	1 ∪	PERCENT
ejpam-7078	507	3	1 |+	CARDINAL
ejpam-7078	509	1	2 ∪	PERCENT
ejpam-7078	509	2	1 |+ 2|v	CARDINAL
ejpam-7078	510	1	2	CARDINAL
ejpam-7078	511	1	1 |+ 2|v	CARDINAL
ejpam-7078	511	2	2 |	TIME
ejpam-7078	514	1	2	CARDINAL
ejpam-7078	517	1	10	CARDINAL
ejpam-7078	518	1	γshr(g+h	NORP
ejpam-7078	519	1	′ 1 |+	DATE
ejpam-7078	521	1	′ 1 ∩	DATE
ejpam-7078	521	2	2|(v ′	TIME
ejpam-7078	521	3	h))|	NORP
ejpam-7078	521	4	′ 1	DATE
ejpam-7078	521	5	′ 1	DATE
ejpam-7078	521	6	g	PERSON
ejpam-7078	524	1	γshr(g+h	NORP
ejpam-7078	528	1	2	CARDINAL
ejpam-7078	528	2	5	CARDINAL
ejpam-7078	528	3	6	CARDINAL
ejpam-7078	529	1	n ≥ 1	DATE
ejpam-7078	529	2	m+	CARDINAL
ejpam-7078	533	1	1	CARDINAL
ejpam-7078	533	2	b. s. anand	PERSON
ejpam-7078	533	3	j. a. dayap	PERSON
ejpam-7078	533	4	l. f. casinillo	PERSON
ejpam-7078	533	5	r. pepper	PERSON
ejpam-7078	533	6	r. s. nair	PERSON
ejpam-7078	535	1	gulf journal of mathematics	ORG
ejpam-7078	535	2	19(1):117–124	CARDINAL
ejpam-7078	535	3	2025	DATE
ejpam-7078	536	1	l. f. casinillo	PERSON
ejpam-7078	536	2	s. r. canoy jr.	PERSON
ejpam-7078	537	1	j. pure	PERSON
ejpam-7078	537	2	18	CARDINAL
ejpam-7078	537	3	4	CARDINAL
ejpam-7078	537	4	2025	CARDINAL
ejpam-7078	537	5	7078 15	DATE
ejpam-7078	537	6	2	CARDINAL
ejpam-7078	537	7	l. f. casinillo	PERSON
ejpam-7078	539	1	3(2):170–177	CARDINAL
ejpam-7078	539	2	2020	DATE
ejpam-7078	540	1	3	CARDINAL
ejpam-7078	540	2	l. f. casinillo	PERSON
ejpam-7078	542	1	26(1):8–20	CARDINAL
ejpam-7078	542	2	2020	DATE
ejpam-7078	543	1	4	CARDINAL
ejpam-7078	543	2	l. f. casinillo	PERSON
ejpam-7078	545	1	6(1):18–26	DATE
ejpam-7078	545	2	2023	CARDINAL
ejpam-7078	546	1	5	CARDINAL
ejpam-7078	546	2	e. j. cockayne	PERSON
ejpam-7078	546	3	a. dreyer jr, s. m. hedetniemi	PERSON
ejpam-7078	546	4	s. t. hedetniemi	PERSON
ejpam-7078	548	1	278(1	CARDINAL
ejpam-7078	548	2	2004	DATE
ejpam-7078	549	1	6	CARDINAL
ejpam-7078	549	2	w. haynes	PERSON
ejpam-7078	549	3	s. hedetniemi	PERSON
ejpam-7078	549	4	slater	PERSON
ejpam-7078	551	1	crc press	ORG
ejpam-7078	551	2	2013	DATE
ejpam-7078	552	1	7	CARDINAL
ejpam-7078	552	2	m. a. henning	PERSON
ejpam-7078	554	1	321–350	CARDINAL
ejpam-7078	555	1	routledge	ORG
ejpam-7078	555	2	2017	DATE
ejpam-7078	556	1	8	CARDINAL
ejpam-7078	556	2	s. m. paraico	PERSON
ejpam-7078	556	3	s. r. canoy jr.	PERSON
ejpam-7078	557	1	2017	DATE
ejpam-7078	558	1	9	CARDINAL
ejpam-7078	558	2	j. slater	PERSON
ejpam-7078	560	1	23(3):446–450	DATE
ejpam-7078	560	2	1976	DATE
ejpam-7078	561	1	10	CARDINAL
ejpam-7078	561	2	h. a. ahangar	PERSON
ejpam-7078	561	3	m. chellali	PERSON
ejpam-7078	561	4	s. m. sheikholeslami	PERSON
ejpam-7078	563	1	232:1–7	CARDINAL
ejpam-7078	563	2	2017	DATE
ejpam-7078	564	1	11	CARDINAL
ejpam-7078	564	2	m. chellali	PERSON
ejpam-7078	564	3	t. w. haynes	PERSON
ejpam-7078	564	4	s. t. hedetniemi	PERSON
ejpam-7078	566	1	quaestiones mathematicae	ORG
ejpam-7078	566	2	38:749–757	CARDINAL
ejpam-7078	566	3	2015	DATE
ejpam-7078	567	1	12	CARDINAL
ejpam-7078	567	2	r. l. pushpam	PERSON
ejpam-7078	567	3	s. padmapriea	PERSON
ejpam-7078	569	1	combinatorics	ORG
ejpam-7078	569	2	4(1):1–17	CARDINAL
ejpam-7078	569	3	2015	DATE
ejpam-7078	570	1	13	CARDINAL
ejpam-7078	570	2	e. shabani	PERSON
ejpam-7078	571	1	2017	DATE
ejpam-7078	573	1	14	CARDINAL
ejpam-7078	573	2	m. lemanska	PERSON
ejpam-7078	573	3	b. venkatakrishnan	PERSON
ejpam-7078	573	4	r. zuazua	NORP
ejpam-7078	575	1	the national academy of sciences	ORG
ejpam-7078	575	2	india	GPE
ejpam-7078	575	3	85(3):353–357	CARDINAL
ejpam-7078	575	4	2015	DATE
ejpam-7078	576	1	15	CARDINAL
ejpam-7078	576	2	l. f. casinillo	PERSON
ejpam-7078	578	1	6(2):317–325	CARDINAL
ejpam-7078	578	2	2018	DATE
ejpam-7078	579	1	16	CARDINAL
ejpam-7078	579	2	g. chartrand	PERSON
ejpam-7078	579	3	l. lesniak	PERSON
ejpam-7078	579	4	p. zhang	PERSON
ejpam-7078	580	1	crc press	ORG
ejpam-7078	580	2	2016	DATE
ejpam-7078	581	1	17	CARDINAL
ejpam-7078	581	2	c. natarajan	PERSON
ejpam-7078	581	3	s. ayyaswamy	ORG
ejpam-7078	582	1	23(2):187–199	DATE
ejpam-7078	582	2	2015	DATE
ejpam-7078	583	1	18	CARDINAL
ejpam-7078	583	2	s. canoy jr and g. p. salasalan	PERSON
ejpam-7078	585	1	european journal	ORG
ejpam-7078	585	2	16(4):2431–2449	DATE
ejpam-7078	585	3	2022	CARDINAL
ejpam-7078	586	1	19	CARDINAL
ejpam-7078	586	2	j. hassan	PERSON
ejpam-7078	586	3	s. canoy jr.	PERSON
ejpam-7078	587	1	european journal	ORG
ejpam-7078	587	2	15(4):1783–1796	CARDINAL
ejpam-7078	587	3	2022	CARDINAL
ejpam-7078	588	1	20	CARDINAL
ejpam-7078	588	2	j. hassan	PERSON
ejpam-7078	588	3	s. canoy jr	PERSON
ejpam-7078	588	4	a. aradais	PERSON
ejpam-7078	590	1	european journal	ORG
ejpam-7078	590	2	15(2):467–477	ORG
ejpam-7078	590	3	2022	CARDINAL
ejpam-7078	591	1	21	CARDINAL
ejpam-7078	591	2	j. hassan	PERSON
ejpam-7078	591	3	s. canoy jr	PERSON
ejpam-7078	591	4	c. j. saromines	PERSON
ejpam-7078	593	1	european journal	ORG
ejpam-7078	593	2	16(1):319–335	DATE
ejpam-7078	593	3	2023	CARDINAL
ejpam-7078	594	1	22	CARDINAL
ejpam-7078	594	2	s. canoy jr and	PERSON
ejpam-7078	594	3	g. salasalan	PERSON
ejpam-7078	596	1	kyungpook mathematical journal	ORG
ejpam-7078	596	2	62(1):193–204	CARDINAL
ejpam-7078	596	3	2022	CARDINAL
ejpam-7078	597	1	23	CARDINAL
ejpam-7078	597	2	g. salasalan	PERSON
ejpam-7078	597	3	s. canoy jr.	PERSON
ejpam-7078	598	1	european journal	ORG
ejpam-7078	598	2	14(4):1415–1428	CARDINAL
ejpam-7078	598	3	2021	CARDINAL