id	sid	eid	entity	type
ejpam-5648	1	1	european journal	ORG
ejpam-5648	1	2	2025	DATE
ejpam-5648	1	3	18	CARDINAL
ejpam-5648	1	4	1	CARDINAL
ejpam-5648	1	5	5648	DATE
ejpam-5648	1	6	1307-5543	DATE
ejpam-5648	1	7	new york	GPE
ejpam-5648	1	8	a. aradais3,∗	PERSON
ejpam-5648	1	9	jerry boy g. cariaga1	PERSON
ejpam-5648	1	10	sergio r. canoy	PERSON
ejpam-5648	1	11	1	CARDINAL
ejpam-5648	1	12	msu-iligan institute of technology	ORG
ejpam-5648	1	13	9200	CARDINAL
ejpam-5648	1	14	iligan city	GPE
ejpam-5648	1	15	2	CARDINAL
ejpam-5648	1	16	institute of science	ORG
ejpam-5648	1	17	msu-iligan institute of technology	ORG
ejpam-5648	1	18	9200	CARDINAL
ejpam-5648	1	19	iligan city	GPE
ejpam-5648	1	20	philippines 3	ORG
ejpam-5648	1	21	msu	ORG
ejpam-5648	1	22	7500	CARDINAL
ejpam-5648	1	23	philippines	GPE
ejpam-5648	3	1	0	CARDINAL
ejpam-5648	3	2	1	DATE
ejpam-5648	3	3	2	CARDINAL
ejpam-5648	4	1	∑ v∈v	PERSON
ejpam-5648	6	1	2020	DATE
ejpam-5648	6	2	05c69	CARDINAL
ejpam-5648	6	3	1	CARDINAL
ejpam-5648	8	1	9	CARDINAL
ejpam-5648	11	1	1	CARDINAL
ejpam-5648	11	2	3	CARDINAL
ejpam-5648	11	3	4	CARDINAL
ejpam-5648	12	1	8	CARDINAL
ejpam-5648	12	2	10	CARDINAL
ejpam-5648	13	1	11	CARDINAL
ejpam-5648	13	2	12	CARDINAL
ejpam-5648	13	3	16	CARDINAL
ejpam-5648	13	4	20	CARDINAL
ejpam-5648	14	1	21	CARDINAL
ejpam-5648	14	2	24	CARDINAL
ejpam-5648	15	1	two	CARDINAL
ejpam-5648	15	2	22	CARDINAL
ejpam-5648	16	1	5	CARDINAL
ejpam-5648	16	2	6	CARDINAL
ejpam-5648	16	3	13	CARDINAL
ejpam-5648	17	1	alkajimaradais@msutawi-tawi.edu.ph	GPE
ejpam-5648	17	2	a. aradais	PERSON
ejpam-5648	17	3	jerryboy.cariaga@g.msuiit.edu.ph	GPE
ejpam-5648	17	4	j. cariaga	PERSON
ejpam-5648	17	5	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-5648	17	6	s. canoy jr.	PERSON
ejpam-5648	18	1	1	CARDINAL
ejpam-5648	18	2	2025	CARDINAL
ejpam-5648	19	1	a. aradais	PERSON
ejpam-5648	19	2	j. cariaga	PERSON
ejpam-5648	19	3	s. canoy jr.	PERSON
ejpam-5648	20	1	j. pure	PERSON
ejpam-5648	20	2	18	CARDINAL
ejpam-5648	20	3	1	CARDINAL
ejpam-5648	20	4	2025	CARDINAL
ejpam-5648	20	5	5648 2	DATE
ejpam-5648	20	6	13	CARDINAL
ejpam-5648	20	7	14	CARDINAL
ejpam-5648	20	8	15	CARDINAL
ejpam-5648	21	1	17	CARDINAL
ejpam-5648	22	1	19	CARDINAL
ejpam-5648	22	2	18	CARDINAL
ejpam-5648	22	3	23	CARDINAL
ejpam-5648	23	1	26	CARDINAL
ejpam-5648	23	2	27	CARDINAL
ejpam-5648	24	1	2	CARDINAL
ejpam-5648	25	1	25	CARDINAL
ejpam-5648	25	2	28	CARDINAL
ejpam-5648	29	1	2.	CARDINAL
ejpam-5648	30	1	∈	ORG
ejpam-5648	31	1	∈	ORG
ejpam-5648	31	2	v}∪ng(v	ORG
ejpam-5648	32	1	⊆	CARDINAL
ejpam-5648	34	1	two	CARDINAL
ejpam-5648	35	1	1	CARDINAL
ejpam-5648	35	2	w ∈	PERSON
ejpam-5648	35	3	∈	ORG
ejpam-5648	36	1	⊆	CARDINAL
ejpam-5648	37	1	γ(g	NORP
ejpam-5648	38	1	γ(g	NORP
ejpam-5648	38	2	∈	ORG
ejpam-5648	38	3	n2 g(v	ORG
ejpam-5648	39	1	2	CARDINAL
ejpam-5648	39	2	n2 g(v	PERSON
ejpam-5648	40	1	⊆	CARDINAL
ejpam-5648	41	1	2	CARDINAL
ejpam-5648	42	1	⊆	CARDINAL
ejpam-5648	43	1	w ∈ s	PERSON
ejpam-5648	43	2	2	CARDINAL
ejpam-5648	51	1	0	CARDINAL
ejpam-5648	51	2	1	DATE
ejpam-5648	51	3	2	CARDINAL
ejpam-5648	51	4	∈	ORG
ejpam-5648	52	1	0	CARDINAL
ejpam-5648	52	2	∈	ORG
ejpam-5648	52	3	2	CARDINAL
ejpam-5648	53	1	2	CARDINAL
ejpam-5648	54	1	∑ v∈v	PERSON
ejpam-5648	55	1	g. a. aradais	PERSON
ejpam-5648	55	2	j. cariaga	PERSON
ejpam-5648	55	3	s. canoy jr.	PERSON
ejpam-5648	56	1	j. pure	PERSON
ejpam-5648	56	2	18	CARDINAL
ejpam-5648	56	3	1	CARDINAL
ejpam-5648	56	4	2025	CARDINAL
ejpam-5648	56	5	5648 3	DATE
ejpam-5648	56	6	13	CARDINAL
ejpam-5648	57	1	0	CARDINAL
ejpam-5648	57	2	1	DATE
ejpam-5648	57	3	2	CARDINAL
ejpam-5648	58	1	0	CARDINAL
ejpam-5648	58	2	w ∈	PERSON
ejpam-5648	58	3	2	CARDINAL
ejpam-5648	58	4	2	CARDINAL
ejpam-5648	59	1	∑ v∈v	PERSON
ejpam-5648	61	1	j ∈	PERSON
ejpam-5648	61	2	0	CARDINAL
ejpam-5648	61	3	1	DATE
ejpam-5648	61	4	2	CARDINAL
ejpam-5648	62	1	1	CARDINAL
ejpam-5648	64	1	2	CARDINAL
ejpam-5648	65	1	′ 1	CARDINAL
ejpam-5648	65	2	5	CARDINAL
ejpam-5648	65	3	6	CARDINAL
ejpam-5648	87	1	1	CARDINAL
ejpam-5648	87	2	5	CARDINAL
ejpam-5648	87	3	6	CARDINAL
ejpam-5648	87	4	3	CARDINAL
ejpam-5648	88	1	1	CARDINAL
ejpam-5648	90	1	0	CARDINAL
ejpam-5648	91	1	0	CARDINAL
ejpam-5648	91	2	|v1|	CARDINAL
ejpam-5648	94	1	0	CARDINAL
ejpam-5648	95	1	1	CARDINAL
ejpam-5648	95	2	2	CARDINAL
ejpam-5648	95	3	′ 2	CARDINAL
ejpam-5648	95	4	′ 1	TIME
ejpam-5648	96	1	g	PERSON
ejpam-5648	96	2	a. aradais	PERSON
ejpam-5648	96	3	j. cariaga	PERSON
ejpam-5648	96	4	s. canoy jr.	PERSON
ejpam-5648	97	1	j. pure	PERSON
ejpam-5648	97	2	18	CARDINAL
ejpam-5648	97	3	1	CARDINAL
ejpam-5648	97	4	2025	CARDINAL
ejpam-5648	97	5	5648 4 of 13	DATE
ejpam-5648	98	1	0	CARDINAL
ejpam-5648	99	1	2 ⊆	CARDINAL
ejpam-5648	101	1	2	CARDINAL
ejpam-5648	101	2	2	CARDINAL
ejpam-5648	101	3	1	CARDINAL
ejpam-5648	102	1	∗ 2	DATE
ejpam-5648	103	1	∗ 1	DATE
ejpam-5648	103	2	2	CARDINAL
ejpam-5648	103	3	∈	ORG
ejpam-5648	105	1	2	CARDINAL
ejpam-5648	105	2	2|v	ORDINAL
ejpam-5648	107	1	g	PERSON
ejpam-5648	111	1	1	CARDINAL
ejpam-5648	111	2	′′	ORG
ejpam-5648	111	3	2	CARDINAL
ejpam-5648	112	1	′′	ORG
ejpam-5648	113	1	′′ 2	ORG
ejpam-5648	113	2	′′	ORG
ejpam-5648	113	3	′′	ORG
ejpam-5648	113	4	2	CARDINAL
ejpam-5648	113	5	1	CARDINAL
ejpam-5648	113	6	′′ 2	ORG
ejpam-5648	113	7	∈	ORG
ejpam-5648	114	1	2|v	ORDINAL
ejpam-5648	115	1	′′	ORG
ejpam-5648	115	2	2	CARDINAL
ejpam-5648	115	3	2|v2| < |v1|+	MONEY
ejpam-5648	115	4	g	PERSON
ejpam-5648	116	1	0	CARDINAL
ejpam-5648	116	2	2	CARDINAL
ejpam-5648	116	3	2γch(g	CARDINAL
ejpam-5648	120	1	2	CARDINAL
ejpam-5648	121	1	g1	ORG
ejpam-5648	121	2	′ 2	CARDINAL
ejpam-5648	122	1	g1	ORG
ejpam-5648	123	1	′ 1	TIME
ejpam-5648	124	1	1	CARDINAL
ejpam-5648	126	1	′′	ORG
ejpam-5648	126	2	2	CARDINAL
ejpam-5648	126	3	= s.	PERSON
ejpam-5648	126	4	1	CARDINAL
ejpam-5648	126	5	′′ 2	ORG
ejpam-5648	126	6	∈	ORG
ejpam-5648	127	1	2|v	ORDINAL
ejpam-5648	128	1	′′	ORG
ejpam-5648	128	2	2 |	TIME
ejpam-5648	128	3	2γch(g	CARDINAL
ejpam-5648	129	1	2γch(g	CARDINAL
ejpam-5648	130	1	2γch(g	CARDINAL
ejpam-5648	131	1	2	CARDINAL
ejpam-5648	132	1	γcrh(k4	GPE
ejpam-5648	133	1	4	CARDINAL
ejpam-5648	135	1	2	CARDINAL
ejpam-5648	135	2	3	CARDINAL
ejpam-5648	135	3	γcrh(p5	ORG
ejpam-5648	135	4	4	CARDINAL
ejpam-5648	135	5	2γch(p5	CARDINAL
ejpam-5648	135	6	p5)|	ORG
ejpam-5648	135	7	a. aradais	PERSON
ejpam-5648	135	8	j. cariaga	PERSON
ejpam-5648	135	9	s. canoy jr.	PERSON
ejpam-5648	136	1	j. pure	PERSON
ejpam-5648	136	2	18	CARDINAL
ejpam-5648	136	3	1	CARDINAL
ejpam-5648	136	4	2025	CARDINAL
ejpam-5648	136	5	5648 5	DATE
ejpam-5648	136	6	13	CARDINAL
ejpam-5648	136	7	1	CARDINAL
ejpam-5648	138	1	2	CARDINAL
ejpam-5648	139	1	∈	ORG
ejpam-5648	139	2	∈	ORG
ejpam-5648	141	1	1	CARDINAL
ejpam-5648	142	1	2	CARDINAL
ejpam-5648	143	1	3	CARDINAL
ejpam-5648	144	1	n ≥ 3	DATE
ejpam-5648	145	1	1	CARDINAL
ejpam-5648	145	2	at least one	CARDINAL
ejpam-5648	146	1	4	CARDINAL
ejpam-5648	147	1	one	CARDINAL
ejpam-5648	147	2	w ∈	PERSON
ejpam-5648	147	3	2	CARDINAL
ejpam-5648	147	4	n2 g(w	ORG
ejpam-5648	147	5	∈	ORG
ejpam-5648	147	6	∈	ORG
ejpam-5648	147	7	2	CARDINAL
ejpam-5648	147	8	2	CARDINAL
ejpam-5648	147	9	n2 g(u	PRODUCT
ejpam-5648	147	10	n2 g(v	PERSON
ejpam-5648	149	1	∩	PERSON
ejpam-5648	150	1	1	CARDINAL
ejpam-5648	150	2	1	CARDINAL
ejpam-5648	151	1	1(i	CARDINAL
ejpam-5648	151	2	1	CARDINAL
ejpam-5648	154	1	2	CARDINAL
ejpam-5648	154	2	2	CARDINAL
ejpam-5648	155	1	1	CARDINAL
ejpam-5648	155	2	1(i	CARDINAL
ejpam-5648	156	1	2	CARDINAL
ejpam-5648	156	2	∈	ORG
ejpam-5648	159	1	2	CARDINAL
ejpam-5648	161	1	2	CARDINAL
ejpam-5648	162	1	2	CARDINAL
ejpam-5648	163	1	2	CARDINAL
ejpam-5648	163	2	3	CARDINAL
ejpam-5648	163	3	n ≥ 3	DATE
ejpam-5648	164	1	3	CARDINAL
ejpam-5648	164	2	1	CARDINAL
ejpam-5648	165	1	0	CARDINAL
ejpam-5648	165	2	3	CARDINAL
ejpam-5648	167	1	2	CARDINAL
ejpam-5648	168	1	1	CARDINAL
ejpam-5648	168	2	1	CARDINAL
ejpam-5648	171	1	∈	ORG
ejpam-5648	173	1	a. aradais	PERSON
ejpam-5648	173	2	j. cariaga	PERSON
ejpam-5648	173	3	s. canoy jr.	PERSON
ejpam-5648	174	1	j. pure	PERSON
ejpam-5648	174	2	18	CARDINAL
ejpam-5648	174	3	1	CARDINAL
ejpam-5648	174	4	2025	CARDINAL
ejpam-5648	174	5	5648 6	DATE
ejpam-5648	174	6	13	CARDINAL
ejpam-5648	174	7	u− w	ORG
ejpam-5648	180	1	n ≥ 3	DATE
ejpam-5648	181	1	3	CARDINAL
ejpam-5648	183	1	3	CARDINAL
ejpam-5648	187	1	u−w	GPE
ejpam-5648	188	1	2	CARDINAL
ejpam-5648	191	1	∈	ORG
ejpam-5648	191	2	2|v2|	ORG
ejpam-5648	191	3	3	CARDINAL
ejpam-5648	191	4	3	CARDINAL
ejpam-5648	191	5	4	CARDINAL
ejpam-5648	191	6	n ≥ 4	DATE
ejpam-5648	193	1	4	CARDINAL
ejpam-5648	194	1	1	CARDINAL
ejpam-5648	195	1	0	CARDINAL
ejpam-5648	196	1	4	CARDINAL
ejpam-5648	198	1	2	CARDINAL
ejpam-5648	199	1	1	CARDINAL
ejpam-5648	199	2	2	CARDINAL
ejpam-5648	202	1	u	ORG
ejpam-5648	203	1	u	ORG
ejpam-5648	204	1	2	CARDINAL
ejpam-5648	204	2	′ 1	CARDINAL
ejpam-5648	204	3	0	CARDINAL
ejpam-5648	207	1	′ 2	CARDINAL
ejpam-5648	208	1	′ 1	DATE
ejpam-5648	210	1	3	CARDINAL
ejpam-5648	212	1	∈	ORG
ejpam-5648	214	1	2	CARDINAL
ejpam-5648	214	2	2	CARDINAL
ejpam-5648	215	1	n2 g(w	ORG
ejpam-5648	217	1	∈	ORG
ejpam-5648	219	1	z}⟩	ORG
ejpam-5648	219	2	3	CARDINAL
ejpam-5648	220	1	4	CARDINAL
ejpam-5648	222	1	3	CARDINAL
ejpam-5648	223	1	2	CARDINAL
ejpam-5648	225	1	∈	ORG
ejpam-5648	225	2	1	CARDINAL
ejpam-5648	226	1	g ̸= k2	PERSON
ejpam-5648	226	2	whereh	PERSON
ejpam-5648	227	1	3	CARDINAL
ejpam-5648	228	1	2	CARDINAL
ejpam-5648	228	2	2	CARDINAL
ejpam-5648	228	3	∈	ORG
ejpam-5648	229	1	∈	PRODUCT
ejpam-5648	230	1	∩	PERSON
ejpam-5648	232	1	y ∈ n2 g(u	PERSON
ejpam-5648	232	2	n2 g(v	PERSON
ejpam-5648	233	1	n2 g(u	PRODUCT
ejpam-5648	235	1	n ≥ 4	ORG
ejpam-5648	235	2	c4,k1 +	LOC
ejpam-5648	238	1	a. aradais	PERSON
ejpam-5648	238	2	j. cariaga	PERSON
ejpam-5648	238	3	s. canoy jr.	PERSON
ejpam-5648	239	1	j. pure	PERSON
ejpam-5648	239	2	18	CARDINAL
ejpam-5648	239	3	1	CARDINAL
ejpam-5648	239	4	2025	CARDINAL
ejpam-5648	239	5	5648 7	DATE
ejpam-5648	239	6	13	CARDINAL
ejpam-5648	240	1	4	CARDINAL
ejpam-5648	240	2	4	CARDINAL
ejpam-5648	240	3	4	CARDINAL
ejpam-5648	241	1	w ∈	PERSON
ejpam-5648	241	2	2	CARDINAL
ejpam-5648	241	3	n2 g(w	ORG
ejpam-5648	242	1	∈	ORG
ejpam-5648	243	1	′ 1	CARDINAL
ejpam-5648	243	2	2	CARDINAL
ejpam-5648	244	1	′ 2	CARDINAL
ejpam-5648	244	2	′ 1	DATE
ejpam-5648	248	1	4	CARDINAL
ejpam-5648	249	1	∈	ORG
ejpam-5648	251	1	4	CARDINAL
ejpam-5648	251	2	∈	ORG
ejpam-5648	251	3	2	CARDINAL
ejpam-5648	251	4	n2 g(u	PRODUCT
ejpam-5648	253	1	0	CARDINAL
ejpam-5648	253	2	1	DATE
ejpam-5648	253	3	2	CARDINAL
ejpam-5648	254	1	2	CARDINAL
ejpam-5648	254	2	0	DATE
ejpam-5648	254	3	∈	ORG
ejpam-5648	255	1	∈	ORG
ejpam-5648	257	1	4	CARDINAL
ejpam-5648	257	2	γ(g	NORP
ejpam-5648	258	1	1	CARDINAL
ejpam-5648	259	1	n2 g(u	PRODUCT
ejpam-5648	259	2	n2 g(v	PERSON
ejpam-5648	261	1	∩	PERSON
ejpam-5648	262	1	4	CARDINAL
ejpam-5648	263	1	3	CARDINAL
ejpam-5648	263	2	1	CARDINAL
ejpam-5648	265	1	γcrh(kn	GPE
ejpam-5648	266	1	3	CARDINAL
ejpam-5648	266	2	γcrh(kn	GPE
ejpam-5648	266	3	4	CARDINAL
ejpam-5648	266	4	2	CARDINAL
ejpam-5648	267	1	4	CARDINAL
ejpam-5648	267	2	γcrh(fn	ORG
ejpam-5648	267	3	4	CARDINAL
ejpam-5648	267	4	4	CARDINAL
ejpam-5648	268	1	n ≥ 4, γcrh(wn	ORG
ejpam-5648	268	2	5	CARDINAL
ejpam-5648	269	1	4	CARDINAL
ejpam-5648	276	1	0	CARDINAL
ejpam-5648	276	2	1	DATE
ejpam-5648	276	3	2	CARDINAL
ejpam-5648	277	1	2	CARDINAL
ejpam-5648	277	2	1	CARDINAL
ejpam-5648	277	3	0	CARDINAL
ejpam-5648	277	4	∈	ORG
ejpam-5648	278	1	a. aradais	PERSON
ejpam-5648	278	2	j. cariaga	PERSON
ejpam-5648	278	3	s. canoy jr.	PERSON
ejpam-5648	279	1	j. pure	PERSON
ejpam-5648	279	2	18	CARDINAL
ejpam-5648	279	3	1	CARDINAL
ejpam-5648	279	4	2025	CARDINAL
ejpam-5648	279	5	5648 8 of 13	DATE
ejpam-5648	279	6	∈	ORG
ejpam-5648	281	1	5	CARDINAL
ejpam-5648	281	2	3 and |nwn(x)| ≥	DATE
ejpam-5648	281	3	3	CARDINAL
ejpam-5648	283	1	5	CARDINAL
ejpam-5648	283	2	5	CARDINAL
ejpam-5648	284	1	4	CARDINAL
ejpam-5648	284	2	5	CARDINAL
ejpam-5648	284	3	6 6	CARDINAL
ejpam-5648	284	4	6	DATE
ejpam-5648	284	5	7	DATE
ejpam-5648	285	1	1	CARDINAL
ejpam-5648	285	2	2	DATE
ejpam-5648	285	3	3	DATE
ejpam-5648	285	4	3	CARDINAL
ejpam-5648	286	1	3	CARDINAL
ejpam-5648	286	2	4	CARDINAL
ejpam-5648	286	3	4	CARDINAL
ejpam-5648	286	4	5	DATE
ejpam-5648	286	5	6	DATE
ejpam-5648	286	6	n ≥ 7	ORG
ejpam-5648	289	1	⊆	CARDINAL
ejpam-5648	289	2	xn−1	GPE
ejpam-5648	290	1	first	ORDINAL
ejpam-5648	290	2	n = 7	ORG
ejpam-5648	291	1	x7},∅	PERSON
ejpam-5648	291	2	x3, x4	ORG
ejpam-5648	291	3	x5}	GPE
ejpam-5648	291	4	3	CARDINAL
ejpam-5648	291	5	5 ≤	CARDINAL
ejpam-5648	292	1	γcrh(p5	ORG
ejpam-5648	292	2	5	CARDINAL
ejpam-5648	293	1	|v1|	CARDINAL
ejpam-5648	293	2	7	CARDINAL
ejpam-5648	294	1	7	CARDINAL
ejpam-5648	295	1	0	CARDINAL
ejpam-5648	295	2	1 ≤	QUANTITY
ejpam-5648	295	3	1	CARDINAL
ejpam-5648	295	4	3	CARDINAL
ejpam-5648	295	5	3	CARDINAL
ejpam-5648	296	1	x3	GPE
ejpam-5648	297	1	∈	ORG
ejpam-5648	299	1	∈	ORG
ejpam-5648	300	1	x3	GPE
ejpam-5648	300	2	x4	GPE
ejpam-5648	300	3	x3, x4	ORG
ejpam-5648	300	4	x5	GPE
ejpam-5648	302	1	2	CARDINAL
ejpam-5648	302	2	1	CARDINAL
ejpam-5648	305	1	6	CARDINAL
ejpam-5648	306	1	n ≥ 8	DATE
ejpam-5648	307	1	|v1|	CARDINAL
ejpam-5648	307	2	1	CARDINAL
ejpam-5648	313	1	2	CARDINAL
ejpam-5648	313	2	2	CARDINAL
ejpam-5648	313	3	xn−1	GPE
ejpam-5648	314	1	x3, x4	ORG
ejpam-5648	314	2	x3	GPE
ejpam-5648	314	3	xn−2	ORG
ejpam-5648	314	4	xn−3	ORG
ejpam-5648	314	5	xn−2	ORG
ejpam-5648	315	1	3	CARDINAL
ejpam-5648	315	2	xn−1	GPE
ejpam-5648	316	1	x3, x4	ORG
ejpam-5648	316	2	xn−2	ORG
ejpam-5648	316	3	xn−2	ORG
ejpam-5648	317	1	xn−1	GPE
ejpam-5648	317	2	x3, x4	ORG
ejpam-5648	317	3	xn−2	ORG
ejpam-5648	318	1	2	CARDINAL
ejpam-5648	319	1	a. aradais	PERSON
ejpam-5648	319	2	j. cariaga	PERSON
ejpam-5648	319	3	s. canoy jr.	PERSON
ejpam-5648	320	1	j. pure	PERSON
ejpam-5648	320	2	18	CARDINAL
ejpam-5648	320	3	1	CARDINAL
ejpam-5648	320	4	2025	CARDINAL
ejpam-5648	320	5	5648 9	DATE
ejpam-5648	320	6	13	CARDINAL
ejpam-5648	320	7	6	CARDINAL
ejpam-5648	322	1	4	CARDINAL
ejpam-5648	322	2	4	CARDINAL
ejpam-5648	322	3	5	DATE
ejpam-5648	322	4	6 6	DATE
ejpam-5648	322	5	6	DATE
ejpam-5648	322	6	7	DATE
ejpam-5648	323	1	3(iii	CARDINAL
ejpam-5648	323	2	γcrh(c3	DATE
ejpam-5648	323	3	3	CARDINAL
ejpam-5648	323	4	γcrh(cn	PERSON
ejpam-5648	323	5	4	CARDINAL
ejpam-5648	323	6	4	CARDINAL
ejpam-5648	323	7	5	DATE
ejpam-5648	323	8	6	DATE
ejpam-5648	327	1	first	ORDINAL
ejpam-5648	327	2	n = 7	ORG
ejpam-5648	328	1	c7	GPE
ejpam-5648	329	1	|v1|	CARDINAL
ejpam-5648	329	2	7	CARDINAL
ejpam-5648	329	3	1	CARDINAL
ejpam-5648	329	4	1	CARDINAL
ejpam-5648	329	5	5	CARDINAL
ejpam-5648	330	1	2	CARDINAL
ejpam-5648	330	2	2	CARDINAL
ejpam-5648	330	3	3	CARDINAL
ejpam-5648	330	4	3	CARDINAL
ejpam-5648	330	5	3	CARDINAL
ejpam-5648	330	6	1	CARDINAL
ejpam-5648	331	1	four	CARDINAL
ejpam-5648	331	2	γcrh(c7	GPE
ejpam-5648	332	1	7	CARDINAL
ejpam-5648	333	1	4	CARDINAL
ejpam-5648	333	2	3	CARDINAL
ejpam-5648	334	1	γcrh(c7	GPE
ejpam-5648	335	1	6	CARDINAL
ejpam-5648	335	2	n ≥ 8	DATE
ejpam-5648	336	1	2j	CARDINAL
ejpam-5648	337	1	γcrh(cn	PERSON
ejpam-5648	337	2	2j + 2j	CARDINAL
ejpam-5648	338	1	k-partite	ORG
ejpam-5648	338	2	2 ≤ n1 ≤ n2 ≤	QUANTITY
ejpam-5648	339	1	k ≥ 2.	ORG
ejpam-5648	339	2	2k	CARDINAL
ejpam-5648	341	1	sn2	GPE
ejpam-5648	343	1	∈	ORG
ejpam-5648	345	1	1	CARDINAL
ejpam-5648	345	2	2	DATE
ejpam-5648	346	1	k}	PERSON
ejpam-5648	346	2	j ∈	PERSON
ejpam-5648	349	1	v2 = s.	PERSON
ejpam-5648	350	1	2k	CARDINAL
ejpam-5648	351	1	j ∈	PERSON
ejpam-5648	352	1	3	CARDINAL
ejpam-5648	353	1	0	CARDINAL
ejpam-5648	356	1	2k ifm	QUANTITY
ejpam-5648	356	2	2k ifm ̸=	QUANTITY
ejpam-5648	358	1	j ∈	PERSON
ejpam-5648	364	1	2(k	CARDINAL
ejpam-5648	364	2	2k	CARDINAL
ejpam-5648	366	1	1	CARDINAL
ejpam-5648	369	1	g = kn	PERSON
ejpam-5648	370	1	g ̸= kn	PERSON
ejpam-5648	371	1	2	CARDINAL
ejpam-5648	371	2	two	CARDINAL
ejpam-5648	375	1	2	CARDINAL
ejpam-5648	377	1	1	CARDINAL
ejpam-5648	378	1	g = kn	PERSON
ejpam-5648	378	2	a. aradais	PERSON
ejpam-5648	378	3	j. cariaga	PERSON
ejpam-5648	378	4	s. canoy jr.	PERSON
ejpam-5648	379	1	j. pure	PERSON
ejpam-5648	379	2	18	CARDINAL
ejpam-5648	379	3	1	CARDINAL
ejpam-5648	379	4	2025	CARDINAL
ejpam-5648	379	5	5648 10 of 13	DATE
ejpam-5648	379	6	g = kn	PERSON
ejpam-5648	379	7	⊆	CARDINAL
ejpam-5648	381	1	g = kn	PERSON
ejpam-5648	384	1	lemma 1	ORG
ejpam-5648	384	2	g = kn	PERSON
ejpam-5648	385	1	g = kn	PERSON
ejpam-5648	386	1	lemma 1	ORG
ejpam-5648	386	2	2	CARDINAL
ejpam-5648	387	1	3	CARDINAL
ejpam-5648	389	1	+h	GPE
ejpam-5648	389	2	2	CARDINAL
ejpam-5648	389	3	2	CARDINAL
ejpam-5648	391	1	3	CARDINAL
ejpam-5648	391	2	at least one	CARDINAL
ejpam-5648	391	3	at least one	CARDINAL
ejpam-5648	392	1	4	CARDINAL
ejpam-5648	392	2	10	CARDINAL
ejpam-5648	394	1	2 ≤	MONEY
ejpam-5648	396	1	+ h	GPE
ejpam-5648	396	2	+ h	GPE
ejpam-5648	397	1	2	CARDINAL
ejpam-5648	397	2	2	CARDINAL
ejpam-5648	397	3	ong andh	FAC
ejpam-5648	398	1	1	CARDINAL
ejpam-5648	398	2	′′ 2	ORG
ejpam-5648	399	1	1	CARDINAL
ejpam-5648	399	2	2	CARDINAL
ejpam-5648	399	3	2	CARDINAL
ejpam-5648	400	1	∈	ORG
ejpam-5648	400	2	g+h	ORG
ejpam-5648	401	1	′′ 1 |+	ORG
ejpam-5648	402	1	′′	ORG
ejpam-5648	402	2	2	CARDINAL
ejpam-5648	402	3	′ 1 |+ 2|v2	CARDINAL
ejpam-5648	402	4	′ 1 |+ 2|v2|+	CARDINAL
ejpam-5648	403	1	2	CARDINAL
ejpam-5648	403	2	2|v2|+	MONEY
ejpam-5648	403	3	′ 1 |+ 2|v	DATE
ejpam-5648	406	1	1	CARDINAL
ejpam-5648	406	2	3	CARDINAL
ejpam-5648	407	1	10	CARDINAL
ejpam-5648	412	1	3	CARDINAL
ejpam-5648	412	2	3(iii	CARDINAL
ejpam-5648	412	3	2	CARDINAL
ejpam-5648	412	4	3(ii	CARDINAL
ejpam-5648	413	1	a. aradais	PERSON
ejpam-5648	413	2	j. cariaga	PERSON
ejpam-5648	414	1	s. canoy jr.	PERSON
ejpam-5648	415	1	j. pure	PERSON
ejpam-5648	415	2	18	CARDINAL
ejpam-5648	415	3	1	CARDINAL
ejpam-5648	415	4	2025	CARDINAL
ejpam-5648	415	5	5648 11	DATE
ejpam-5648	415	6	13	CARDINAL
ejpam-5648	415	7	1	CARDINAL
ejpam-5648	416	1	∈	ORG
ejpam-5648	417	1	5	CARDINAL
ejpam-5648	417	2	one	CARDINAL
ejpam-5648	418	1	∈	PRODUCT
ejpam-5648	419	1	5	CARDINAL
ejpam-5648	422	1	5	CARDINAL
ejpam-5648	428	1	4	CARDINAL
ejpam-5648	430	1	g+h	ORG
ejpam-5648	431	1	6	CARDINAL
ejpam-5648	433	1	11	CARDINAL
ejpam-5648	434	1	5	CARDINAL
ejpam-5648	435	1	n ≥ 4	DATE
ejpam-5648	435	2	at least one	CARDINAL
ejpam-5648	436	1	5	CARDINAL
ejpam-5648	443	1	xn−1	GPE
ejpam-5648	443	2	xn−1	PERSON
ejpam-5648	444	1	g+h	PRODUCT
ejpam-5648	445	1	5	CARDINAL
ejpam-5648	446	1	g+h	PERSON
ejpam-5648	446	2	3	CARDINAL
ejpam-5648	446	3	5	CARDINAL
ejpam-5648	446	4	4	CARDINAL
ejpam-5648	448	1	two	CARDINAL
ejpam-5648	452	1	msu-iligan institute of technology	ORG
ejpam-5648	452	2	iligan city	GPE
ejpam-5648	452	3	philippines	GPE
ejpam-5648	453	1	a. aradais	PERSON
ejpam-5648	453	2	j. cariaga	PERSON
ejpam-5648	453	3	s. canoy jr.	PERSON
ejpam-5648	454	1	j. pure	PERSON
ejpam-5648	454	2	18	CARDINAL
ejpam-5648	454	3	1	CARDINAL
ejpam-5648	454	4	2025	CARDINAL
ejpam-5648	454	5	5648 12	DATE
ejpam-5648	454	6	13	CARDINAL
ejpam-5648	454	7	1	CARDINAL
ejpam-5648	454	8	m. adabi	PERSON
ejpam-5648	454	9	e. ebrahimi targhi	PERSON
ejpam-5648	454	10	n. jafari rad	PERSON
ejpam-5648	454	11	m. saied moradi	PERSON
ejpam-5648	456	1	australasian journal of combinatorics	ORG
ejpam-5648	456	2	52:11–18	CARDINAL
ejpam-5648	456	3	2012	DATE
ejpam-5648	457	1	2	CARDINAL
ejpam-5648	457	2	h. ahangar	PERSON
ejpam-5648	457	3	m. cellali	PERSON
ejpam-5648	457	4	s. sheikholeslami	PERSON
ejpam-5648	457	5	m. soroudi	PERSON
ejpam-5648	459	1	akce international journal	ORG
ejpam-5648	459	2	78	DATE
ejpam-5648	459	3	2023	CARDINAL
ejpam-5648	460	1	3	CARDINAL
ejpam-5648	460	2	m.a. henning	PERSON
ejpam-5648	460	3	i.g. yero	GPE
ejpam-5648	462	1	10(2):501–517	DATE
ejpam-5648	462	2	2016	DATE
ejpam-5648	463	1	4	CARDINAL
ejpam-5648	463	2	alvarez-ruiz	PERSON
ejpam-5648	463	3	t. mediavilla-gradolph	PERSON
ejpam-5648	463	4	s.m.	GPE
ejpam-5648	463	5	j.c. valenzuelatripodoro	PERSON
ejpam-5648	463	6	i.g. yero	GPE
ejpam-5648	465	1	231:44–59	CARDINAL
ejpam-5648	465	2	2017	DATE
ejpam-5648	466	1	5	CARDINAL
ejpam-5648	466	2	b. krishnakumari	PERSON
ejpam-5648	466	3	b. natarjan	PERSON
ejpam-5648	468	1	2015	DATE
ejpam-5648	469	1	6	CARDINAL
ejpam-5648	469	2	c. natarajan	PERSON
ejpam-5648	469	3	g. sathiamoorphy	PERSON
ejpam-5648	471	1	2018	DATE
ejpam-5648	472	1	7	CARDINAL
ejpam-5648	472	2	s. banerjee	PERSON
ejpam-5648	472	3	j.m. keil	GPE
ejpam-5648	472	4	d. pradhan	PERSON
ejpam-5648	474	1	796:1–21	CARDINAL
ejpam-5648	474	2	2019	DATE
ejpam-5648	475	1	8	CARDINAL
ejpam-5648	475	2	m. chellali	PERSON
ejpam-5648	475	3	t.w. haynes	ORG
ejpam-5648	475	4	s.t.	PERSON
ejpam-5648	475	5	hedetnieme	ORG
ejpam-5648	476	1	2	CARDINAL
ejpam-5648	477	1	204:22–28	CARDINAL
ejpam-5648	477	2	2016	DATE
ejpam-5648	478	1	9	CARDINAL
ejpam-5648	478	2	cockayne	ORG
ejpam-5648	478	3	p.a.	GPE
ejpam-5648	478	4	s.m. hedetnieme	GPE
ejpam-5648	478	5	s.t.	PERSON
ejpam-5648	478	6	hedetnieme	ORG
ejpam-5648	480	1	278(13):11–22, 2004	DATE
ejpam-5648	481	1	10	CARDINAL
ejpam-5648	481	2	fortosa	PERSON
ejpam-5648	481	3	f. jamil	PERSON
ejpam-5648	481	4	s. canoy jr.	PERSON
ejpam-5648	482	1	european journal	ORG
ejpam-5648	482	2	17(2):1335–1351	CARDINAL
ejpam-5648	482	3	2024	DATE
ejpam-5648	483	1	11	CARDINAL
ejpam-5648	483	2	fortosa	PERSON
ejpam-5648	483	3	s. canoy jr.	PERSON
ejpam-5648	484	1	european journal	ORG
ejpam-5648	484	2	16(4):2368–2383	CARDINAL
ejpam-5648	484	3	2023	CARDINAL
ejpam-5648	485	1	12	CARDINAL
ejpam-5648	485	2	h. abdollahzadeh	PERSON
ejpam-5648	485	3	m. chellali	PERSON
ejpam-5648	488	1	1–7,	PERCENT
ejpam-5648	488	2	2017	DATE
ejpam-5648	489	1	13	CARDINAL
ejpam-5648	489	2	j. hassan	PERSON
ejpam-5648	489	3	s. canoy jr.	PERSON
ejpam-5648	491	1	j. pure	PERSON
ejpam-5648	491	2	15(4):1783–1796	CARDINAL
ejpam-5648	491	3	2022	CARDINAL
ejpam-5648	492	1	14	CARDINAL
ejpam-5648	492	2	j. hassan	PERSON
ejpam-5648	492	3	s. canoy jr.	PERSON
ejpam-5648	492	4	a. aradais	PERSON
ejpam-5648	495	1	j. pure	PERSON
ejpam-5648	495	2	15(2):467–477	DATE
ejpam-5648	495	3	2022	CARDINAL
ejpam-5648	496	1	15	CARDINAL
ejpam-5648	496	2	m. henning	PERSON
ejpam-5648	496	3	n. rad	PERSON
ejpam-5648	497	1	2	CARDINAL
ejpam-5648	498	1	33(4):913–927	DATE
ejpam-5648	498	2	2017	DATE
ejpam-5648	499	1	16	CARDINAL
ejpam-5648	499	2	henning	PERSON
ejpam-5648	499	3	w.f. klostermeyer	PERSON
ejpam-5648	499	4	g. macgillivray	PERSON
ejpam-5648	501	1	236:235–245	DATE
ejpam-5648	501	2	2018	DATE
ejpam-5648	502	1	17	CARDINAL
ejpam-5648	502	2	s. canoy jr.	PERSON
ejpam-5648	502	3	r. mollejon	PERSON
ejpam-5648	502	4	j. g. canoy	PERSON
ejpam-5648	505	1	j. pure	PERSON
ejpam-5648	506	1	12(4):1455–1463,	DATE
ejpam-5648	506	2	2019	DATE
ejpam-5648	507	1	18	CARDINAL
ejpam-5648	507	2	s. canoy jr.	PERSON
ejpam-5648	507	3	g. salasalan	PERSON
ejpam-5648	508	1	a. aradais	PERSON
ejpam-5648	508	2	j. cariaga	PERSON
ejpam-5648	508	3	s. canoy jr.	PERSON
ejpam-5648	509	1	j. pure	PERSON
ejpam-5648	509	2	18	CARDINAL
ejpam-5648	509	3	1	CARDINAL
ejpam-5648	509	4	2025	CARDINAL
ejpam-5648	509	5	5648 13	DATE
ejpam-5648	509	6	13	CARDINAL
ejpam-5648	511	1	j. pure	PERSON
ejpam-5648	511	2	14:1415–1428	CARDINAL
ejpam-5648	511	3	2021	DATE
ejpam-5648	512	1	19	CARDINAL
ejpam-5648	512	2	s. canoy jr.	PERSON
ejpam-5648	512	3	g. salasalan	PERSON
ejpam-5648	514	1	kyungpook mathematical journal.	ORG
ejpam-5648	514	2	62:193–204	CARDINAL
ejpam-5648	514	3	2022	CARDINAL
ejpam-5648	515	1	20	CARDINAL
ejpam-5648	515	2	k. kammerling	PERSON
ejpam-5648	515	3	l. volkman	PERSON
ejpam-5648	516	1	roman k-domination	PERSON
ejpam-5648	517	1	the korean mathematical society	ORG
ejpam-5648	517	2	2009	DATE
ejpam-5648	518	1	21	CARDINAL
ejpam-5648	518	2	muddebihal	PERSON
ejpam-5648	520	1	international journal of research	ORG
ejpam-5648	520	2	2(10):333–340	CARDINAL
ejpam-5648	520	3	2013	DATE
ejpam-5648	521	1	22	CARDINAL
ejpam-5648	521	2	c. natarajan	PERSON
ejpam-5648	521	3	s. ayyaswamy	ORG
ejpam-5648	522	1	versita	PERSON
ejpam-5648	522	2	23(2):187	CARDINAL
ejpam-5648	522	3	199	CARDINAL
ejpam-5648	522	4	2015	DATE
ejpam-5648	523	1	23	CARDINAL
ejpam-5648	523	2	h. rara	PERSON
ejpam-5648	525	1	asian	NORP
ejpam-5648	526	1	j. math	PERSON
ejpam-5648	526	2	11(5):1850075–1–1850075–11, 2018	DATE
ejpam-5648	527	1	24	CARDINAL
ejpam-5648	527	2	f. jamil	PERSON
ejpam-5648	529	1	european journal	ORG
ejpam-5648	530	1	13(3):529–548	DATE
ejpam-5648	530	2	2020	DATE
ejpam-5648	531	1	25	CARDINAL
ejpam-5648	531	2	n.j	GPE
ejpam-5648	531	3	a. poureidi	PERSON
ejpam-5648	533	1	2019	DATE
ejpam-5648	534	1	26	CARDINAL
ejpam-5648	534	2	r. rakim	PERSON
ejpam-5648	534	3	h. rara	PERSON
ejpam-5648	534	4	c.j.	ORG
ejpam-5648	536	1	12(13):635–649, 2018	DATE
ejpam-5648	537	1	27	CARDINAL
ejpam-5648	537	2	g. salasalan	PERSON
ejpam-5648	537	3	s. canoy jr.	PERSON
ejpam-5648	539	1	j. pure	PERSON
ejpam-5648	539	2	14(1):112–125	DATE
ejpam-5648	539	3	2021	DATE
ejpam-5648	540	1	28	CARDINAL
ejpam-5648	540	2	e. shabani	PERSON
ejpam-5648	540	3	n.j	GPE
ejpam-5648	540	4	a. poureidi	PERSON
ejpam-5648	542	1	modeva	GPE
ejpam-5648	542	2	27(1):3–22	CARDINAL
ejpam-5648	542	3	2019	DATE