id	sid	eid	entity	type
ejpam-6125	1	1	european journal	ORG
ejpam-6125	1	2	2025	DATE
ejpam-6125	1	3	18	CARDINAL
ejpam-6125	1	4	3	CARDINAL
ejpam-6125	1	5	6125	CARDINAL
ejpam-6125	1	6	1307-5543	DATE
ejpam-6125	1	7	new york	GPE
ejpam-6125	1	8	javier a. hassan1,2,∗	PERSON
ejpam-6125	1	9	a. aripin1	PERSON
ejpam-6125	1	10	maria andrea o. bonsocan3	PERSON
ejpam-6125	1	11	kimberly jane pon1	PERSON
ejpam-6125	1	12	msu tawi-tawi college of technology	ORG
ejpam-6125	1	13	2department	TIME
ejpam-6125	1	14	korea university	ORG
ejpam-6125	1	15	seoul	GPE
ejpam-6125	1	16	south korea	GPE
ejpam-6125	2	1	3department	CARDINAL
ejpam-6125	2	2	de davao university	ORG
ejpam-6125	2	3	davao city	GPE
ejpam-6125	2	4	philippines	GPE
ejpam-6125	5	1	two	CARDINAL
ejpam-6125	6	1	2	CARDINAL
ejpam-6125	7	1	2	CARDINAL
ejpam-6125	7	2	3	DATE
ejpam-6125	8	1	1	CARDINAL
ejpam-6125	8	2	2	DATE
ejpam-6125	8	3	θ(g	PERSON
ejpam-6125	9	1	two	CARDINAL
ejpam-6125	11	1	2020	DATE
ejpam-6125	11	2	05c69	CARDINAL
ejpam-6125	11	3	1	CARDINAL
ejpam-6125	11	4	two	CARDINAL
ejpam-6125	14	1	2022	CARDINAL
ejpam-6125	14	2	j. hassan et al	PERSON
ejpam-6125	15	1	10	CARDINAL
ejpam-6125	16	1	two	CARDINAL
ejpam-6125	16	2	∗corresponding	PERSON
ejpam-6125	17	1	javierhassan@msutawi-tawi.edu.ph	PERSON
ejpam-6125	17	2	j. a. hassan	PERSON
ejpam-6125	17	3	farhadzaripin@msutawi-tawi.edu.ph	GPE
ejpam-6125	17	4	f. aripin	PERSON
ejpam-6125	17	5	maobonsocan@addu.edu.ph (m. a. bonsocan	ORG
ejpam-6125	17	6	kimberlyjanepon@msutawi-tawi.edu.ph	GPE
ejpam-6125	17	7	k. j. pon	PERSON
ejpam-6125	18	1	1	CARDINAL
ejpam-6125	18	2	2025	CARDINAL
ejpam-6125	19	1	j. a. hassan et al	PERSON
ejpam-6125	20	1	j. pure	PERSON
ejpam-6125	20	2	18	CARDINAL
ejpam-6125	20	3	3	CARDINAL
ejpam-6125	20	4	2025	CARDINAL
ejpam-6125	20	5	6125 2	DATE
ejpam-6125	20	6	8	CARDINAL
ejpam-6125	20	7	two	CARDINAL
ejpam-6125	22	1	11–14	CARDINAL
ejpam-6125	23	1	j. hassan et al	PERSON
ejpam-6125	24	1	11	CARDINAL
ejpam-6125	25	1	1 or l	CARDINAL
ejpam-6125	25	2	2	CARDINAL
ejpam-6125	25	3	k}	PERSON
ejpam-6125	31	1	2	CARDINAL
ejpam-6125	33	1	α(g	PERSON
ejpam-6125	33	2	α(g	PERSON
ejpam-6125	37	1	2	CARDINAL
ejpam-6125	37	2	2	CARDINAL
ejpam-6125	37	3	k}	PERSON
ejpam-6125	40	1	two	CARDINAL
ejpam-6125	40	2	1	CARDINAL
ejpam-6125	41	1	2	CARDINAL
ejpam-6125	42	1	2	CARDINAL
ejpam-6125	42	2	3	DATE
ejpam-6125	43	1	2	CARDINAL
ejpam-6125	43	2	1	CARDINAL
ejpam-6125	43	3	2	DATE
ejpam-6125	44	1	θ(g	PERSON
ejpam-6125	45	1	q̂	CARDINAL
ejpam-6125	45	2	q̂	CARDINAL
ejpam-6125	45	3	1	CARDINAL
ejpam-6125	45	4	two	CARDINAL
ejpam-6125	47	1	j. a. hassan et al	PERSON
ejpam-6125	48	1	j. pure	PERSON
ejpam-6125	48	2	18	CARDINAL
ejpam-6125	48	3	3	CARDINAL
ejpam-6125	48	4	2025	CARDINAL
ejpam-6125	48	5	6125 3	DATE
ejpam-6125	48	6	two	CARDINAL
ejpam-6125	49	1	+ h	GPE
ejpam-6125	50	1	∈	ORG
ejpam-6125	51	1	one	CARDINAL
ejpam-6125	53	1	s(g	PERSON
ejpam-6125	53	2	two	CARDINAL
ejpam-6125	53	3	g1	ORG
ejpam-6125	53	4	∈	ORG
ejpam-6125	53	5	g1	ORG
ejpam-6125	54	1	3	CARDINAL
ejpam-6125	54	2	1	CARDINAL
ejpam-6125	56	1	g. (ii	PRODUCT
ejpam-6125	56	2	1 ≤ θ(g	QUANTITY
ejpam-6125	56	3	1	CARDINAL
ejpam-6125	57	1	θ(g	PERSON
ejpam-6125	57	2	g = kn	PERSON
ejpam-6125	58	1	g = kn	PERSON
ejpam-6125	59	1	{c1	PERSON
ejpam-6125	59	2	ci	PERSON
ejpam-6125	60	1	1	CARDINAL
ejpam-6125	60	2	j ∈	PERSON
ejpam-6125	60	3	1	CARDINAL
ejpam-6125	60	4	2	DATE
ejpam-6125	61	1	q̂	ORG
ejpam-6125	61	2	kn	PERSON
ejpam-6125	61	3	ci ∈ n2 kn	PERSON
ejpam-6125	63	1	2	CARDINAL
ejpam-6125	63	2	3	DATE
ejpam-6125	64	1	c1	ORG
ejpam-6125	65	1	kn	PERSON
ejpam-6125	66	1	θ(g	PERSON
ejpam-6125	68	1	∈	ORG
ejpam-6125	69	1	1	CARDINAL
ejpam-6125	70	1	α(g	PERSON
ejpam-6125	71	1	kn	PERSON
ejpam-6125	72	1	j. a. hassan et al	PERSON
ejpam-6125	73	1	j. pure	PERSON
ejpam-6125	73	2	18	CARDINAL
ejpam-6125	73	3	3	CARDINAL
ejpam-6125	73	4	2025	CARDINAL
ejpam-6125	73	5	6125 4	DATE
ejpam-6125	73	6	8	CARDINAL
ejpam-6125	76	1	1	CARDINAL
ejpam-6125	76	2	2	CARDINAL
ejpam-6125	76	3	2	CARDINAL
ejpam-6125	76	4	n ≥ 3	DATE
ejpam-6125	77	1	1	CARDINAL
ejpam-6125	78	1	1	CARDINAL
ejpam-6125	79	1	θ(p2	ORG
ejpam-6125	80	1	1	CARDINAL
ejpam-6125	80	2	n ≥ 4	DATE
ejpam-6125	81	1	q̂	ORG
ejpam-6125	81	2	∈	PRODUCT
ejpam-6125	82	1	2	CARDINAL
ejpam-6125	82	2	3	CARDINAL
ejpam-6125	82	3	5	DATE
ejpam-6125	82	4	3	CARDINAL
ejpam-6125	82	5	∈	PRODUCT
ejpam-6125	82	6	⋃	PRODUCT
ejpam-6125	82	7	2	CARDINAL
ejpam-6125	84	1	2	CARDINAL
ejpam-6125	88	1	n2 p3	PRODUCT
ejpam-6125	89	1	1.	CARDINAL
ejpam-6125	89	2	n ≥ 5 and odd	DATE
ejpam-6125	92	1	2	CARDINAL
ejpam-6125	92	2	3	CARDINAL
ejpam-6125	92	3	5	DATE
ejpam-6125	94	1	n 2 g[vn	PRODUCT
ejpam-6125	94	2	⊆ n2 g[vn−2	QUANTITY
ejpam-6125	95	1	2	CARDINAL
ejpam-6125	95	2	3	CARDINAL
ejpam-6125	95	3	3	CARDINAL
ejpam-6125	97	1	α(cn	CARDINAL
ejpam-6125	100	1	1.	CARDINAL
ejpam-6125	100	2	n ≥ 5	DATE
ejpam-6125	100	3	{c1	PERSON
ejpam-6125	100	4	c1	ORG
ejpam-6125	100	5	c3	PERSON
ejpam-6125	100	6	cn−2	PERSON
ejpam-6125	101	1	∈	PRODUCT
ejpam-6125	101	2	2 g[cj	QUANTITY
ejpam-6125	101	3	3	CARDINAL
ejpam-6125	101	4	5	DATE
ejpam-6125	103	1	α(cn	CARDINAL
ejpam-6125	103	2	3	CARDINAL
ejpam-6125	106	1	n2 c4	ORG
ejpam-6125	106	2	2	CARDINAL
ejpam-6125	108	1	1	CARDINAL
ejpam-6125	113	1	2	CARDINAL
ejpam-6125	114	1	2	CARDINAL
ejpam-6125	116	1	1	CARDINAL
ejpam-6125	116	2	3	CARDINAL
ejpam-6125	118	1	2	CARDINAL
ejpam-6125	118	2	n ≥ 8	DATE
ejpam-6125	118	3	x3	PERSON
ejpam-6125	118	4	xn−5	ORG
ejpam-6125	118	5	xn−2	ORG
ejpam-6125	119	1	ŵ	PERSON
ejpam-6125	119	2	α(cn	CARDINAL
ejpam-6125	120	1	1	CARDINAL
ejpam-6125	120	2	∈	ORG
ejpam-6125	120	3	j. a. hassan et al	PERSON
ejpam-6125	121	1	j. pure	PERSON
ejpam-6125	121	2	18	CARDINAL
ejpam-6125	121	3	3	CARDINAL
ejpam-6125	121	4	2025	CARDINAL
ejpam-6125	121	5	6125 5	DATE
ejpam-6125	121	6	8 n2 cn	QUANTITY
ejpam-6125	122	1	2 cn	QUANTITY
ejpam-6125	122	2	3	CARDINAL
ejpam-6125	122	3	5	DATE
ejpam-6125	122	4	xn	ORG
ejpam-6125	122	5	xn−2	ORG
ejpam-6125	123	1	xn−2	ORG
ejpam-6125	123	2	2 cn	QUANTITY
ejpam-6125	124	1	w	ORG
ejpam-6125	126	1	⊆ n2	QUANTITY
ejpam-6125	127	1	xn−5	ORG
ejpam-6125	127	2	⋃ n2 cn	PERSON
ejpam-6125	129	1	⊆ n2	QUANTITY
ejpam-6125	130	1	xn−5	ORG
ejpam-6125	130	2	⋃ n2 cn	PERSON
ejpam-6125	131	1	w	ORG
ejpam-6125	133	1	xn−1	GPE
ejpam-6125	133	2	n ≥ 4	DATE
ejpam-6125	134	1	α(cn)− 1	DATE
ejpam-6125	134	2	n ≥ 4	DATE
ejpam-6125	135	1	two	CARDINAL
ejpam-6125	136	1	1	CARDINAL
ejpam-6125	138	1	ḡ	GPE
ejpam-6125	139	1	two	CARDINAL
ejpam-6125	140	1	4	CARDINAL
ejpam-6125	141	1	15	CARDINAL
ejpam-6125	141	2	two	CARDINAL
ejpam-6125	142	1	g+h	ORG
ejpam-6125	145	1	5	CARDINAL
ejpam-6125	146	1	two	CARDINAL
ejpam-6125	149	1	4	CARDINAL
ejpam-6125	149	2	h. j. a. hassan	PERSON
ejpam-6125	151	1	j. pure	PERSON
ejpam-6125	151	2	18	CARDINAL
ejpam-6125	151	3	3	CARDINAL
ejpam-6125	151	4	2025	CARDINAL
ejpam-6125	151	5	6125 6	DATE
ejpam-6125	152	1	4	CARDINAL
ejpam-6125	152	2	g+h	PRODUCT
ejpam-6125	153	1	f̂	TIME
ejpam-6125	153	2	g+h	PRODUCT
ejpam-6125	155	1	6	CARDINAL
ejpam-6125	156	1	two	CARDINAL
ejpam-6125	157	1	αcl(h	CARDINAL
ejpam-6125	158	1	αcl(h	CARDINAL
ejpam-6125	159	1	first	ORDINAL
ejpam-6125	159	2	g+h	PRODUCT
ejpam-6125	160	1	3	CARDINAL
ejpam-6125	162	1	3	CARDINAL
ejpam-6125	163	1	θ(g + h	ORG
ejpam-6125	165	1	1	CARDINAL
ejpam-6125	166	1	two	CARDINAL
ejpam-6125	167	1	1	CARDINAL
ejpam-6125	167	2	αcl(km	CARDINAL
ejpam-6125	167	3	1	CARDINAL
ejpam-6125	168	1	two	CARDINAL
ejpam-6125	168	2	s(g	PERSON
ejpam-6125	169	1	g1	ORG
ejpam-6125	169	2	⊆	CARDINAL
ejpam-6125	169	3	q′	PERSON
ejpam-6125	169	4	x′	CARDINAL
ejpam-6125	171	1	g1	ORG
ejpam-6125	175	1	s(g	DATE
ejpam-6125	175	2	g1	ORG
ejpam-6125	178	1	q̂′ g2	PERSON
ejpam-6125	178	2	q̂′ g1	PERSON
ejpam-6125	178	3	g1	ORG
ejpam-6125	179	1	j. a. hassan et al	PERSON
ejpam-6125	180	1	j. pure	PERSON
ejpam-6125	180	2	18	CARDINAL
ejpam-6125	180	3	3	CARDINAL
ejpam-6125	180	4	2025	CARDINAL
ejpam-6125	180	5	7	CARDINAL
ejpam-6125	181	1	s(g	DATE
ejpam-6125	182	1	g1	ORG
ejpam-6125	183	1	g1	ORG
ejpam-6125	188	1	vi	PERSON
ejpam-6125	188	2	q̂′ g2	PERSON
ejpam-6125	188	3	1	CARDINAL
ejpam-6125	188	4	vi	PERSON
ejpam-6125	189	1	q̂∩v	PERSON
ejpam-6125	189	2	dg1(vi	ORG
ejpam-6125	189	3	q̂	ORG
ejpam-6125	189	4	s(g	PERSON
ejpam-6125	189	5	⊆	CARDINAL
ejpam-6125	189	6	2	CARDINAL
ejpam-6125	189	7	vi	PERSON
ejpam-6125	189	8	j ∈	PERSON
ejpam-6125	190	1	q̂g2 ⊆ q̂	DATE
ejpam-6125	190	2	q̂	ORG
ejpam-6125	191	1	3	CARDINAL
ejpam-6125	192	1	∈	ORG
ejpam-6125	192	2	dg1(vi	ORG
ejpam-6125	193	1	∈ q̂g1	DATE
ejpam-6125	193	2	vi ∈ q̂′ g2	PERSON
ejpam-6125	194	1	⊆	CARDINAL
ejpam-6125	194	2	1	CARDINAL
ejpam-6125	194	3	2	DATE
ejpam-6125	196	1	1	CARDINAL
ejpam-6125	196	2	2	DATE
ejpam-6125	198	1	∈	ORG
ejpam-6125	198	2	∈	ORG
ejpam-6125	198	3	1	CARDINAL
ejpam-6125	198	4	2	DATE
ejpam-6125	199	1	n2 s(g)[v ′	PRODUCT
ejpam-6125	199	2	s(g	PERSON
ejpam-6125	199	3	2	CARDINAL
ejpam-6125	199	4	2	CARDINAL
ejpam-6125	199	5	3	DATE
ejpam-6125	202	1	q̂′ g2	PERSON
ejpam-6125	202	2	g1	ORG
ejpam-6125	205	1	7	CARDINAL
ejpam-6125	205	2	2	CARDINAL
ejpam-6125	207	1	θ(s(g	PERSON
ejpam-6125	208	1	θ(g	PERSON
ejpam-6125	209	1	4.	CARDINAL
ejpam-6125	210	1	two	CARDINAL
ejpam-6125	214	1	j. a. hassan et al	PERSON
ejpam-6125	215	1	j. pure	PERSON
ejpam-6125	215	2	18	CARDINAL
ejpam-6125	215	3	3	CARDINAL
ejpam-6125	215	4	2025	CARDINAL
ejpam-6125	215	5	6125 8	DATE
ejpam-6125	215	6	8	CARDINAL
ejpam-6125	215	7	korea university	ORG
ejpam-6125	215	8	de davao university	ORG
ejpam-6125	216	1	1	CARDINAL
ejpam-6125	216	2	e. davies	PERSON
ejpam-6125	216	3	m. jenssen	PERSON
ejpam-6125	216	4	w. perkins	PERSON
ejpam-6125	216	5	b. roberts	PERSON
ejpam-6125	217	1	matchings	ORG
ejpam-6125	218	1	london	GPE
ejpam-6125	218	2	96:211–220	CARDINAL
ejpam-6125	218	3	2017	DATE
ejpam-6125	219	1	2	CARDINAL
ejpam-6125	219	2	e. davies	PERSON
ejpam-6125	219	3	m. jenssen	PERSON
ejpam-6125	219	4	w. perkins	PERSON
ejpam-6125	219	5	b. roberts	PERSON
ejpam-6125	221	1	american	NORP
ejpam-6125	221	2	2018	DATE
ejpam-6125	222	1	3	CARDINAL
ejpam-6125	224	1	11(4):463–470, 1987	DATE
ejpam-6125	225	1	4	CARDINAL
ejpam-6125	225	2	j. r. griggs	PERSON
ejpam-6125	225	3	c. m. grinstead	PERSON
ejpam-6125	225	4	d. r.	NORP
ejpam-6125	226	1	68:211–220, 1988	DATE
ejpam-6125	227	1	5	CARDINAL
ejpam-6125	227	2	w. staton	PERSON
ejpam-6125	229	1	57:245–251	CARDINAL
ejpam-6125	229	2	1985	DATE
ejpam-6125	230	1	6	CARDINAL
ejpam-6125	230	2	d. g. c. horrocks	PERSON
ejpam-6125	232	1	australasian journal of combinatorics	ORG
ejpam-6125	232	2	22:105–116	CARDINAL
ejpam-6125	232	3	2000	DATE
ejpam-6125	233	1	7	CARDINAL
ejpam-6125	233	2	d. s. johnson	PERSON
ejpam-6125	233	3	m. yannakakis	PERSON
ejpam-6125	233	4	c. j. papadimitriou	PERSON
ejpam-6125	235	1	27:119–123	CARDINAL
ejpam-6125	235	2	1988	DATE
ejpam-6125	236	1	8	CARDINAL
ejpam-6125	236	2	h. s. wilf	PERSON
ejpam-6125	238	1	siam	GPE
ejpam-6125	238	2	algebraic	PERSON
ejpam-6125	238	3	1986	DATE
ejpam-6125	239	1	9	CARDINAL
ejpam-6125	239	2	j. zito	PERSON
ejpam-6125	241	1	15(2):207–221, 1991	DATE
ejpam-6125	242	1	10	CARDINAL
ejpam-6125	242	2	j. hassan	PERSON
ejpam-6125	242	3	s. canoy jr.	PERSON
ejpam-6125	242	4	a. aradais	PERSON
ejpam-6125	244	1	european journal	ORG
ejpam-6125	244	2	15(2):467–477	ORG
ejpam-6125	244	3	2022	CARDINAL
ejpam-6125	245	1	11	CARDINAL
ejpam-6125	245	2	j. hassan	PERSON
ejpam-6125	245	3	m. langamin	PERSON
ejpam-6125	245	4	a. laja	PERSON
ejpam-6125	245	5	b. amiruddin	PERSON
ejpam-6125	245	6	e. ahmad	PERSON
ejpam-6125	245	7	j. manditong	PERSON
ejpam-6125	247	1	european journal	ORG
ejpam-6125	247	2	17(2):725–735	DATE
ejpam-6125	247	3	2024	DATE
ejpam-6125	248	1	12	CARDINAL
ejpam-6125	248	2	j. hassan	PERSON
ejpam-6125	248	3	a. tapeing	PERSON
ejpam-6125	248	4	h. copel	PERSON
ejpam-6125	248	5	a. bakkang	PERSON
ejpam-6125	248	6	s. d. aming	PERSON
ejpam-6125	250	1	european journal	ORG
ejpam-6125	250	2	17(1):124–134	DATE
ejpam-6125	250	3	2024	DATE
ejpam-6125	251	1	13	CARDINAL
ejpam-6125	251	2	j. hassan	PERSON
ejpam-6125	251	3	n. bakar	PERSON
ejpam-6125	251	4	n. dagsaan	PERSON
ejpam-6125	251	5	m. langamin	PERSON
ejpam-6125	251	6	n. h. mohammad	PERSON
ejpam-6125	253	1	european journal	ORG
ejpam-6125	253	2	17(2):922–930	CARDINAL
ejpam-6125	253	3	2024	DATE
ejpam-6125	254	1	14	CARDINAL
ejpam-6125	254	2	s. kaida	PERSON
ejpam-6125	254	3	k. j. maharajul	PERSON
ejpam-6125	254	4	j. hassan	PERSON
ejpam-6125	254	5	l. laja	PERSON
ejpam-6125	254	6	a. lintasan	PERSON
ejpam-6125	254	7	a. pablo	PERSON
ejpam-6125	256	1	european journal	ORG
ejpam-6125	256	2	17(1):435–444	CARDINAL
ejpam-6125	256	3	2024	DATE
ejpam-6125	257	1	15	CARDINAL
ejpam-6125	257	2	j. hassan	PERSON
ejpam-6125	257	3	s. canoy jr.	PERSON
ejpam-6125	258	1	grundy	PERSON
ejpam-6125	259	1	european journal	ORG
ejpam-6125	259	2	15(4):1623–1636	CARDINAL
ejpam-6125	259	3	2022	CARDINAL