id	sid	eid	entity	type
ejpam-5625	1	1	european journal	ORG
ejpam-5625	1	2	2025	DATE
ejpam-5625	1	3	18	CARDINAL
ejpam-5625	1	4	1	CARDINAL
ejpam-5625	1	5	5625	CARDINAL
ejpam-5625	1	6	1307-5543	DATE
ejpam-5625	1	7	new york	GPE
ejpam-5625	1	8	2	CARDINAL
ejpam-5625	1	9	n. ulal1	PERSON
ejpam-5625	1	10	javier a. hassan1,2,∗	PERSON
ejpam-5625	1	11	mercedita a. langamin1	PERSON
ejpam-5625	1	12	noor-han	PERSON
ejpam-5625	2	1	sciences department	ORG
ejpam-5625	2	2	msu tawi-tawi college of technology	ORG
ejpam-5625	2	3	2department	TIME
ejpam-5625	2	4	korea university	ORG
ejpam-5625	2	5	seoul	GPE
ejpam-5625	2	6	south korea	GPE
ejpam-5625	4	1	⊆	CARDINAL
ejpam-5625	4	2	2	CARDINAL
ejpam-5625	4	3	∈	ORG
ejpam-5625	4	4	2	CARDINAL
ejpam-5625	4	5	∈	ORG
ejpam-5625	5	1	0	CARDINAL
ejpam-5625	5	2	2	CARDINAL
ejpam-5625	6	1	2	CARDINAL
ejpam-5625	6	2	2	CARDINAL
ejpam-5625	7	1	pnd	ORG
ejpam-5625	7	2	2	CARDINAL
ejpam-5625	7	3	two	CARDINAL
ejpam-5625	9	1	2020	DATE
ejpam-5625	9	2	05c69	CARDINAL
ejpam-5625	9	3	2	CARDINAL
ejpam-5625	9	4	2distance	CARDINAL
ejpam-5625	9	5	2	CARDINAL
ejpam-5625	9	6	1	CARDINAL
ejpam-5625	11	1	at least one	CARDINAL
ejpam-5625	14	1	j. hassan	PERSON
ejpam-5625	14	2	merceditalangamin@msutawi-tawi.edu.ph	GPE
ejpam-5625	14	3	m. langamin	PERSON
ejpam-5625	15	1	noorhanulal@msutawi-tawi.edu.ph	GPE
ejpam-5625	15	2	n.h. ulal	GPE
ejpam-5625	17	1	1	CARDINAL
ejpam-5625	17	2	2025	CARDINAL
ejpam-5625	18	1	n. s. ulal	PERSON
ejpam-5625	20	1	j. pure	PERSON
ejpam-5625	20	2	18	CARDINAL
ejpam-5625	20	3	1	CARDINAL
ejpam-5625	20	4	2025	CARDINAL
ejpam-5625	20	5	5625 2	CARDINAL
ejpam-5625	20	6	9	CARDINAL
ejpam-5625	20	7	5	CARDINAL
ejpam-5625	21	1	8	CARDINAL
ejpam-5625	21	2	6	CARDINAL
ejpam-5625	23	1	1–4	CARDINAL
ejpam-5625	23	2	10	CARDINAL
ejpam-5625	23	3	11	CARDINAL
ejpam-5625	24	1	2	CARDINAL
ejpam-5625	26	1	2	CARDINAL
ejpam-5625	27	1	two	CARDINAL
ejpam-5625	27	2	two	CARDINAL
ejpam-5625	27	3	two	CARDINAL
ejpam-5625	27	4	xy	ORG
ejpam-5625	27	5	xy ∈	PERSON
ejpam-5625	29	1	ifx	ORG
ejpam-5625	29	2	⊆	CARDINAL
ejpam-5625	30	1	⋃	PERSON
ejpam-5625	31	1	x.	PERSON
ejpam-5625	31	2	∈	ORG
ejpam-5625	31	3	dg(a	GPE
ejpam-5625	31	4	1	CARDINAL
ejpam-5625	32	1	γ(g	NORP
ejpam-5625	32	2	⊆	CARDINAL
ejpam-5625	32	3	zero	CARDINAL
ejpam-5625	32	4	two	CARDINAL
ejpam-5625	34	1	⊆	CARDINAL
ejpam-5625	34	2	pnd	ORG
ejpam-5625	34	3	∈	ORG
ejpam-5625	34	4	w ∈ s	PERSON
ejpam-5625	35	1	pnd	ORG
ejpam-5625	36	1	2	CARDINAL
ejpam-5625	36	2	n2 g(a	ORG
ejpam-5625	38	1	2	CARDINAL
ejpam-5625	38	2	n2	ORG
ejpam-5625	39	1	⊆	CARDINAL
ejpam-5625	40	1	⋃	DATE
ejpam-5625	40	2	a∈s n2 g(a	PERSON
ejpam-5625	41	1	s.	PERSON
ejpam-5625	41	2	∈	ORG
ejpam-5625	41	3	dg(a	GPE
ejpam-5625	41	4	2	CARDINAL
ejpam-5625	42	1	n. s. ulal et al	ORG
ejpam-5625	43	1	j. pure	PERSON
ejpam-5625	43	2	18	CARDINAL
ejpam-5625	43	3	1	CARDINAL
ejpam-5625	43	4	2025	CARDINAL
ejpam-5625	43	5	5625 3	DATE
ejpam-5625	43	6	9	CARDINAL
ejpam-5625	43	7	two	CARDINAL
ejpam-5625	44	1	g and h	ORG
ejpam-5625	44	2	g+h	ORG
ejpam-5625	45	1	∈	ORG
ejpam-5625	46	1	3	CARDINAL
ejpam-5625	46	2	4	CARDINAL
ejpam-5625	46	3	2	CARDINAL
ejpam-5625	46	4	1	CARDINAL
ejpam-5625	48	1	⊆	CARDINAL
ejpam-5625	48	2	2	CARDINAL
ejpam-5625	48	3	∈	ORG
ejpam-5625	48	4	2	CARDINAL
ejpam-5625	48	5	∈	ORG
ejpam-5625	49	1	0	CARDINAL
ejpam-5625	49	2	2	CARDINAL
ejpam-5625	50	1	2	CARDINAL
ejpam-5625	50	2	2	CARDINAL
ejpam-5625	50	3	1	CARDINAL
ejpam-5625	50	4	2	CARDINAL
ejpam-5625	51	1	1	CARDINAL
ejpam-5625	51	2	γ2ch(p5	ORG
ejpam-5625	51	3	3	CARDINAL
ejpam-5625	54	1	zero	CARDINAL
ejpam-5625	54	2	two	CARDINAL
ejpam-5625	55	1	2	CARDINAL
ejpam-5625	55	2	3	CARDINAL
ejpam-5625	55	3	1	CARDINAL
ejpam-5625	57	1	1 ≤	QUANTITY
ejpam-5625	57	2	1	CARDINAL
ejpam-5625	58	1	2	CARDINAL
ejpam-5625	61	1	1	CARDINAL
ejpam-5625	61	2	1	CARDINAL
ejpam-5625	62	1	2	CARDINAL
ejpam-5625	63	1	n. s. ulal et al	PERSON
ejpam-5625	64	1	j. pure	PERSON
ejpam-5625	64	2	18	CARDINAL
ejpam-5625	64	3	1	CARDINAL
ejpam-5625	64	4	2025	CARDINAL
ejpam-5625	64	5	5625 4	DATE
ejpam-5625	64	6	1	CARDINAL
ejpam-5625	64	7	1	CARDINAL
ejpam-5625	67	1	1	CARDINAL
ejpam-5625	67	2	2	CARDINAL
ejpam-5625	69	1	⊆	CARDINAL
ejpam-5625	69	2	kn	PERSON
ejpam-5625	69	3	2	CARDINAL
ejpam-5625	71	1	2	CARDINAL
ejpam-5625	71	2	kn	PERSON
ejpam-5625	72	1	at least one	CARDINAL
ejpam-5625	72	2	∈	ORG
ejpam-5625	73	1	2	CARDINAL
ejpam-5625	75	1	2	CARDINAL
ejpam-5625	75	2	kn	ORG
ejpam-5625	78	1	1	CARDINAL
ejpam-5625	78	2	5	CARDINAL
ejpam-5625	78	3	definiton	ORG
ejpam-5625	78	4	2	CARDINAL
ejpam-5625	78	5	two	CARDINAL
ejpam-5625	78	6	2	CARDINAL
ejpam-5625	79	1	2	CARDINAL
ejpam-5625	81	1	⊆	CARDINAL
ejpam-5625	81	2	pnd	ORG
ejpam-5625	81	3	two	CARDINAL
ejpam-5625	81	4	zero	CARDINAL
ejpam-5625	81	5	at least two	CARDINAL
ejpam-5625	82	1	∈	ORG
ejpam-5625	82	2	w ∈ s	PERSON
ejpam-5625	83	1	pnd	ORG
ejpam-5625	83	2	pnd	ORG
ejpam-5625	83	3	1	CARDINAL
ejpam-5625	85	1	1 ≤	QUANTITY
ejpam-5625	86	1	3	CARDINAL
ejpam-5625	88	1	2	CARDINAL
ejpam-5625	88	2	pnd	ORG
ejpam-5625	90	1	n. s. ulal et al	PERSON
ejpam-5625	91	1	j. pure	PERSON
ejpam-5625	91	2	18	CARDINAL
ejpam-5625	91	3	1	CARDINAL
ejpam-5625	91	4	2025	CARDINAL
ejpam-5625	91	5	5625 5	DATE
ejpam-5625	92	1	only one	CARDINAL
ejpam-5625	98	1	{ k	PERSON
ejpam-5625	98	2	1	CARDINAL
ejpam-5625	98	3	2	DATE
ejpam-5625	98	4	3	DATE
ejpam-5625	98	5	4 2	CARDINAL
ejpam-5625	98	6	5	CARDINAL
ejpam-5625	98	7	{ k	PERSON
ejpam-5625	98	8	3	CARDINAL
ejpam-5625	98	9	5	CARDINAL
ejpam-5625	98	10	1	CARDINAL
ejpam-5625	98	11	1	CARDINAL
ejpam-5625	98	12	1	CARDINAL
ejpam-5625	98	13	2	DATE
ejpam-5625	99	1	1	CARDINAL
ejpam-5625	99	2	2	DATE
ejpam-5625	100	1	= k	PERSON
ejpam-5625	100	2	1	CARDINAL
ejpam-5625	100	3	2	CARDINAL
ejpam-5625	100	4	1	CARDINAL
ejpam-5625	101	1	3	CARDINAL
ejpam-5625	104	1	1	CARDINAL
ejpam-5625	104	2	2	CARDINAL
ejpam-5625	104	3	3	CARDINAL
ejpam-5625	105	1	3	CARDINAL
ejpam-5625	105	2	k = 4	ORG
ejpam-5625	108	1	ccpnd(p4	ORG
ejpam-5625	108	2	2	CARDINAL
ejpam-5625	108	3	1	CARDINAL
ejpam-5625	109	1	2	CARDINAL
ejpam-5625	109	2	pnd	ORG
ejpam-5625	111	1	pnd	ORG
ejpam-5625	112	1	3	CARDINAL
ejpam-5625	113	1	4	CARDINAL
ejpam-5625	117	1	k ≥ 5	DATE
ejpam-5625	117	2	at least two	CARDINAL
ejpam-5625	118	1	pnd	ORG
ejpam-5625	118	2	2	CARDINAL
ejpam-5625	118	3	3	CARDINAL
ejpam-5625	118	4	3	CARDINAL
ejpam-5625	118	5	1	CARDINAL
ejpam-5625	122	1	1	CARDINAL
ejpam-5625	122	2	ccpnd(c4	ORG
ejpam-5625	122	3	2	CARDINAL
ejpam-5625	122	4	ccpnd(c4	ORG
ejpam-5625	122	5	2	CARDINAL
ejpam-5625	122	6	pnd	ORG
ejpam-5625	124	1	pnd	ORG
ejpam-5625	125	1	3	CARDINAL
ejpam-5625	125	2	ccpnd(c4	ORG
ejpam-5625	125	3	4	CARDINAL
ejpam-5625	126	1	k ≥ 5	ORG
ejpam-5625	126	2	uk	GPE
ejpam-5625	129	1	at least two	CARDINAL
ejpam-5625	130	1	pnd	ORG
ejpam-5625	130	2	2	CARDINAL
ejpam-5625	130	3	n. s. ulal et al	PERSON
ejpam-5625	131	1	j. pure	PERSON
ejpam-5625	131	2	18	CARDINAL
ejpam-5625	131	3	1	CARDINAL
ejpam-5625	131	4	2025	CARDINAL
ejpam-5625	131	5	5625 6	DATE
ejpam-5625	132	1	pnd	ORG
ejpam-5625	132	2	pnd	ORG
ejpam-5625	133	1	∈	ORG
ejpam-5625	133	2	kk)\{x	ORG
ejpam-5625	134	1	pnd	ORG
ejpam-5625	135	1	k ∀	PERSON
ejpam-5625	136	1	1	CARDINAL
ejpam-5625	137	1	2	CARDINAL
ejpam-5625	140	1	1	CARDINAL
ejpam-5625	141	1	1	CARDINAL
ejpam-5625	142	1	1	CARDINAL
ejpam-5625	142	2	pnd	ORG
ejpam-5625	142	3	k̄2	GPE
ejpam-5625	144	1	v2	PRODUCT
ejpam-5625	144	2	only one	CARDINAL
ejpam-5625	146	1	2	CARDINAL
ejpam-5625	147	1	k ≥ 3	ORG
ejpam-5625	151	1	at least two	CARDINAL
ejpam-5625	152	1	1	CARDINAL
ejpam-5625	152	2	3	CARDINAL
ejpam-5625	153	1	6	CARDINAL
ejpam-5625	153	2	2	CARDINAL
ejpam-5625	153	3	two	CARDINAL
ejpam-5625	153	4	4	CARDINAL
ejpam-5625	155	1	⊆	CARDINAL
ejpam-5625	155	2	2	CARDINAL
ejpam-5625	155	3	g+h	ORG
ejpam-5625	156	1	pnd	ORG
ejpam-5625	158	1	⊆	CARDINAL
ejpam-5625	158	2	2	CARDINAL
ejpam-5625	158	3	⊆	CARDINAL
ejpam-5625	158	4	⊆	CARDINAL
ejpam-5625	162	1	⊆	CARDINAL
ejpam-5625	163	1	∈	ORG
ejpam-5625	164	1	∈	ORG
ejpam-5625	164	2	o	DATE
ejpam-5625	165	1	2	CARDINAL
ejpam-5625	165	2	o	DATE
ejpam-5625	165	3	2	CARDINAL
ejpam-5625	165	4	zero	CARDINAL
ejpam-5625	165	5	at least two	CARDINAL
ejpam-5625	165	6	∈	ORG
ejpam-5625	165	7	dg+h(w	NORP
ejpam-5625	166	1	2	CARDINAL
ejpam-5625	167	1	pnd	ORG
ejpam-5625	167	2	pnd	ORG
ejpam-5625	170	1	pnd	ORG
ejpam-5625	171	1	∈	ORG
ejpam-5625	171	2	∈	ORG
ejpam-5625	171	3	pnd	ORG
ejpam-5625	171	4	zero	CARDINAL
ejpam-5625	171	5	at least two	CARDINAL
ejpam-5625	171	6	∈	ORG
ejpam-5625	172	1	2	CARDINAL
ejpam-5625	172	2	zero	CARDINAL
ejpam-5625	172	3	at least two	CARDINAL
ejpam-5625	172	4	o	DATE
ejpam-5625	172	5	2	CARDINAL
ejpam-5625	172	6	∈	ORG
ejpam-5625	172	7	2	CARDINAL
ejpam-5625	172	8	g+h	ORG
ejpam-5625	173	1	5	CARDINAL
ejpam-5625	179	1	2	CARDINAL
ejpam-5625	179	2	4	CARDINAL
ejpam-5625	179	3	pnd	ORG
ejpam-5625	180	1	n. s. ulal et al	PERSON
ejpam-5625	181	1	j. pure	PERSON
ejpam-5625	181	2	18	CARDINAL
ejpam-5625	181	3	1	CARDINAL
ejpam-5625	181	4	2025	CARDINAL
ejpam-5625	181	5	5625 7	DATE
ejpam-5625	181	6	9	CARDINAL
ejpam-5625	183	1	|og|+	PERSON
ejpam-5625	184	1	pnd	ORG
ejpam-5625	185	1	4	CARDINAL
ejpam-5625	185	2	2	CARDINAL
ejpam-5625	185	3	g+h	ORG
ejpam-5625	188	1	|og|+	PERSON
ejpam-5625	188	2	|o|	DATE
ejpam-5625	191	1	1	CARDINAL
ejpam-5625	191	2	5	CARDINAL
ejpam-5625	191	3	2	CARDINAL
ejpam-5625	193	1	2n	CARDINAL
ejpam-5625	193	2	1	CARDINAL
ejpam-5625	193	3	2	DATE
ejpam-5625	193	4	3	DATE
ejpam-5625	193	5	4 4	DATE
ejpam-5625	193	6	n ≥ 5	DATE
ejpam-5625	194	1	2n	CARDINAL
ejpam-5625	194	2	n ≥ 5	DATE
ejpam-5625	195	1	+kn	PERSON
ejpam-5625	195	2	2n	CARDINAL
ejpam-5625	195	3	1	CARDINAL
ejpam-5625	195	4	2 2	CARDINAL
ejpam-5625	195	5	n ≥ 3	DATE
ejpam-5625	196	1	4	CARDINAL
ejpam-5625	196	2	2 3	DATE
ejpam-5625	196	3	2	CARDINAL
ejpam-5625	196	4	2 2	DATE
ejpam-5625	196	5	3	CARDINAL
ejpam-5625	196	6	1	CARDINAL
ejpam-5625	196	7	1	CARDINAL
ejpam-5625	196	8	1	CARDINAL
ejpam-5625	196	9	2	DATE
ejpam-5625	196	10	3	DATE
ejpam-5625	196	11	4 3	DATE
ejpam-5625	196	12	n ≥ 5	DATE
ejpam-5625	196	13	1	CARDINAL
ejpam-5625	196	14	3	CARDINAL
ejpam-5625	196	15	n ≥ 5	DATE
ejpam-5625	196	16	7	CARDINAL
ejpam-5625	196	17	2	CARDINAL
ejpam-5625	196	18	2	CARDINAL
ejpam-5625	198	1	2	CARDINAL
ejpam-5625	200	1	n. s. ulal et al	PERSON
ejpam-5625	201	1	j. pure	PERSON
ejpam-5625	201	2	18	CARDINAL
ejpam-5625	201	3	1	CARDINAL
ejpam-5625	201	4	2025	CARDINAL
ejpam-5625	201	5	5625 8	DATE
ejpam-5625	208	1	5	CARDINAL
ejpam-5625	208	2	2	CARDINAL
ejpam-5625	209	1	2	CARDINAL
ejpam-5625	213	1	2	CARDINAL
ejpam-5625	213	2	2	CARDINAL
ejpam-5625	213	3	3	CARDINAL
ejpam-5625	215	1	mindanao	GPE
ejpam-5625	215	2	korea university	ORG
ejpam-5625	217	1	1	CARDINAL
ejpam-5625	217	2	v. g. bhagavathi ammal	PERSON
ejpam-5625	217	3	r. louisa	PERSON
ejpam-5625	219	1	n. s. ulal et al	PERSON
ejpam-5625	220	1	j. pure	PERSON
ejpam-5625	220	2	18	CARDINAL
ejpam-5625	220	3	1	CARDINAL
ejpam-5625	220	4	2025	CARDINAL
ejpam-5625	220	5	5625 9	DATE
ejpam-5625	220	6	9 66(05):90–98	CARDINAL
ejpam-5625	220	7	2020	DATE
ejpam-5625	221	1	2	CARDINAL
ejpam-5625	221	2	b. krishnakumari	PERSON
ejpam-5625	221	3	b. natarjan	PERSON
ejpam-5625	223	1	2015	DATE
ejpam-5625	224	1	3	CARDINAL
ejpam-5625	224	2	m. a. bonsocan	PERSON
ejpam-5625	224	3	j. hassan	PERSON
ejpam-5625	224	4	s. dagondon.	PERSON
ejpam-5625	226	1	european journal	ORG
ejpam-5625	226	2	2024	DATE
ejpam-5625	227	1	4	CARDINAL
ejpam-5625	227	2	e. j. cockayne	PERSON
ejpam-5625	227	3	s. t. hedetniemi	PERSON
ejpam-5625	229	1	7(3):247–261	CARDINAL
ejpam-5625	229	2	1977	DATE
ejpam-5625	230	1	5	CARDINAL
ejpam-5625	230	2	m. dettlaff	PERSON
ejpam-5625	230	3	m. lemanska	PERSON
ejpam-5625	230	4	r. ziemann	PERSON
ejpam-5625	230	5	j. topp	PERSON
ejpam-5625	230	6	p. zylinski	PERSON
ejpam-5625	232	1	akce international journal	ORG
ejpam-5625	232	2	09(004):1–12	LANGUAGE
ejpam-5625	232	3	2018	DATE
ejpam-5625	233	1	6	CARDINAL
ejpam-5625	233	2	f. harary	PERSON
ejpam-5625	233	3	w. haynes	PERSON
ejpam-5625	235	1	55:201–213	CARDINAL
ejpam-5625	235	2	2000	DATE
ejpam-5625	236	1	7	CARDINAL
ejpam-5625	236	2	j. hassan	PERSON
ejpam-5625	236	3	s. canoy	PERSON
ejpam-5625	236	4	c. j. saromines	PERSON
ejpam-5625	238	1	european journal	ORG
ejpam-5625	238	2	16(1):319–335	DATE
ejpam-5625	238	3	2023	CARDINAL
ejpam-5625	239	1	8	CARDINAL
ejpam-5625	239	2	j. hassan	PERSON
ejpam-5625	239	3	s. canoy jr.	PERSON
ejpam-5625	240	1	grundy	PERSON
ejpam-5625	240	2	grundy	PERSON
ejpam-5625	241	1	european journal	ORG
ejpam-5625	241	2	16(2):1212–1227	ORG
ejpam-5625	241	3	2023	CARDINAL
ejpam-5625	242	1	9	CARDINAL
ejpam-5625	242	2	j. hassan	PERSON
ejpam-5625	242	3	s. canoy jr. grundy	PERSON
ejpam-5625	243	1	european journal	ORG
ejpam-5625	243	2	2023	CARDINAL
ejpam-5625	244	1	10	CARDINAL
ejpam-5625	244	2	c. natarajan	PERSON
ejpam-5625	244	3	s. ayyaswamy	ORG
ejpam-5625	245	1	versita	PERSON
ejpam-5625	245	2	23(2):187	CARDINAL
ejpam-5625	245	3	199	CARDINAL
ejpam-5625	245	4	2015	DATE
ejpam-5625	246	1	11	CARDINAL
ejpam-5625	246	2	s. durai raj	PERSON
ejpam-5625	246	3	s. g. shiji kumari	PERSON
ejpam-5625	246	4	a. m. anto	PERSON
ejpam-5625	248	1	malaya	GPE
ejpam-5625	248	2	matematik, 9(1):1080–1082	ORG
ejpam-5625	248	3	2021	DATE