id	sid	eid	entity	type
ejpam-5205	1	1	european journal	ORG
ejpam-5205	2	1	17	CARDINAL
ejpam-5205	2	2	2	CARDINAL
ejpam-5205	2	3	2024	DATE
ejpam-5205	2	4	1335-1351	CARDINAL
ejpam-5205	2	5	1307-5543	CARDINAL
ejpam-5205	3	1	new york	GPE
ejpam-5205	3	2	rona jane g. fortosa1,∗	PERSON
ejpam-5205	4	1	sergio r. canoy	PERSON
ejpam-5205	4	2	1	CARDINAL
ejpam-5205	4	3	msu-iligan institute of technology	ORG
ejpam-5205	4	4	9200	CARDINAL
ejpam-5205	4	5	iligan city	GPE
ejpam-5205	4	6	2	CARDINAL
ejpam-5205	4	7	msu-iligan institute of technology	ORG
ejpam-5205	4	8	9200	CARDINAL
ejpam-5205	4	9	iligan city	GPE
ejpam-5205	4	10	philippines	GPE
ejpam-5205	6	1	0	CARDINAL
ejpam-5205	6	2	1	DATE
ejpam-5205	6	3	2	CARDINAL
ejpam-5205	7	1	0	CARDINAL
ejpam-5205	7	2	at least one	CARDINAL
ejpam-5205	7	3	2	CARDINAL
ejpam-5205	8	1	∑ v∈v	PERSON
ejpam-5205	10	1	2020	DATE
ejpam-5205	10	2	05c69	CARDINAL
ejpam-5205	10	3	1	CARDINAL
ejpam-5205	11	1	cockayne	ORG
ejpam-5205	11	2	dreyer	ORG
ejpam-5205	11	3	hedetnieme	ORG
ejpam-5205	11	4	8	CARDINAL
ejpam-5205	11	5	constantine	PERSON
ejpam-5205	11	6	the 4th century	DATE
ejpam-5205	11	7	23	CARDINAL
ejpam-5205	11	8	24	CARDINAL
ejpam-5205	12	1	several years	DATE
ejpam-5205	12	2	1	CARDINAL
ejpam-5205	12	3	2	CARDINAL
ejpam-5205	12	4	3	CARDINAL
ejpam-5205	12	5	4	CARDINAL
ejpam-5205	12	6	5	CARDINAL
ejpam-5205	12	7	13	CARDINAL
ejpam-5205	12	8	16	CARDINAL
ejpam-5205	12	9	19	CARDINAL
ejpam-5205	12	10	20	CARDINAL
ejpam-5205	12	11	22	CARDINAL
ejpam-5205	13	1	lemanska	PERSON
ejpam-5205	13	2	2004	DATE
ejpam-5205	13	3	18	CARDINAL
ejpam-5205	15	1	14	CARDINAL
ejpam-5205	15	2	15	CARDINAL
ejpam-5205	15	3	6	CARDINAL
ejpam-5205	16	1	9	CARDINAL
ejpam-5205	16	2	11	CARDINAL
ejpam-5205	16	3	12	CARDINAL
ejpam-5205	16	4	21	CARDINAL
ejpam-5205	19	1	fortosa	PERSON
ejpam-5205	19	2	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-5205	19	3	s. canoy	PERSON
ejpam-5205	19	4	ferdinand.jamil@g.msuiit.edu.ph	ORG
ejpam-5205	19	5	f. jamil	PERSON
ejpam-5205	19	6	1335	DATE
ejpam-5205	20	1	2024	CARDINAL
ejpam-5205	21	1	r. fortosa	PERSON
ejpam-5205	21	2	s. canoy jr.	PERSON
ejpam-5205	22	1	j. pure	PERSON
ejpam-5205	22	2	17	CARDINAL
ejpam-5205	22	3	2	CARDINAL
ejpam-5205	22	4	2024	CARDINAL
ejpam-5205	22	5	1335-1351 1336	CARDINAL
ejpam-5205	22	6	two	CARDINAL
ejpam-5205	23	1	10	CARDINAL
ejpam-5205	23	2	two	CARDINAL
ejpam-5205	26	1	two	CARDINAL
ejpam-5205	26	2	ig[u	ORG
ejpam-5205	32	1	⊆	CARDINAL
ejpam-5205	32	2	∈	ORG
ejpam-5205	32	3	s.	PERSON
ejpam-5205	33	1	γ(g	NORP
ejpam-5205	34	1	γ(g	NORP
ejpam-5205	36	1	⊆	CARDINAL
ejpam-5205	36	2	two	CARDINAL
ejpam-5205	36	3	⊆	CARDINAL
ejpam-5205	36	4	con(g	ORG
ejpam-5205	36	5	⊆	CARDINAL
ejpam-5205	38	1	0	CARDINAL
ejpam-5205	38	2	1	DATE
ejpam-5205	38	3	2	CARDINAL
ejpam-5205	39	1	0	CARDINAL
ejpam-5205	39	2	at least one	CARDINAL
ejpam-5205	40	1	2	CARDINAL
ejpam-5205	40	2	∑ v∈v	PERSON
ejpam-5205	42	1	∈	ORG
ejpam-5205	43	1	0	CARDINAL
ejpam-5205	43	2	1	DATE
ejpam-5205	43	3	2	CARDINAL
ejpam-5205	44	1	2|v2|	ORG
ejpam-5205	47	1	r. fortosa	PERSON
ejpam-5205	47	2	s. canoy jr.	PERSON
ejpam-5205	48	1	j. pure	PERSON
ejpam-5205	48	2	17	CARDINAL
ejpam-5205	48	3	2	CARDINAL
ejpam-5205	48	4	2024	CARDINAL
ejpam-5205	48	5	1335-1351 1337	DATE
ejpam-5205	49	1	2	CARDINAL
ejpam-5205	50	1	1	CARDINAL
ejpam-5205	51	1	10	CARDINAL
ejpam-5205	53	1	1	CARDINAL
ejpam-5205	53	2	1 2	CARDINAL
ejpam-5205	53	3	2	CARDINAL
ejpam-5205	53	4	2	CARDINAL
ejpam-5205	54	1	10	CARDINAL
ejpam-5205	55	1	0	CARDINAL
ejpam-5205	55	2	1	CARDINAL
ejpam-5205	56	1	1	CARDINAL
ejpam-5205	57	1	1	CARDINAL
ejpam-5205	58	1	15	CARDINAL
ejpam-5205	58	2	m.	PERSON
ejpam-5205	59	1	2	CARDINAL
ejpam-5205	60	1	14	CARDINAL
ejpam-5205	60	2	n ≥ 2	ORG
ejpam-5205	61	1	⋃	DATE
ejpam-5205	61	2	⊆	CARDINAL
ejpam-5205	61	3	tx	ORG
ejpam-5205	61	4	⊆	PRODUCT
ejpam-5205	61	5	tx	ORG
ejpam-5205	61	6	∈	PRODUCT
ejpam-5205	61	7	∩ s. theorem 3	PERSON
ejpam-5205	62	1	15	CARDINAL
ejpam-5205	64	1	⋃ x∈s({x} × tx	WORK_OF_ART
ejpam-5205	64	2	tx	ORG
ejpam-5205	64	3	4	CARDINAL
ejpam-5205	65	1	17	CARDINAL
ejpam-5205	66	1	⋃ x∈s({x}×	TIME
ejpam-5205	66	2	tx	ORG
ejpam-5205	66	3	tx	ORG
ejpam-5205	66	4	5	CARDINAL
ejpam-5205	67	1	15	CARDINAL
ejpam-5205	67	2	two	CARDINAL
ejpam-5205	68	1	∈	ORG
ejpam-5205	71	1	6	CARDINAL
ejpam-5205	72	1	17	CARDINAL
ejpam-5205	74	1	one	CARDINAL
ejpam-5205	74	2	r. fortosa	PERSON
ejpam-5205	74	3	s. canoy jr.	PERSON
ejpam-5205	75	1	j. pure	PERSON
ejpam-5205	75	2	17	CARDINAL
ejpam-5205	75	3	2	CARDINAL
ejpam-5205	75	4	2024	CARDINAL
ejpam-5205	75	5	1335-1351 1338	CARDINAL
ejpam-5205	76	1	7	CARDINAL
ejpam-5205	77	1	10	CARDINAL
ejpam-5205	79	1	1	CARDINAL
ejpam-5205	79	2	2	CARDINAL
ejpam-5205	81	1	1	CARDINAL
ejpam-5205	82	1	10	CARDINAL
ejpam-5205	82	2	2	CARDINAL
ejpam-5205	83	1	1	CARDINAL
ejpam-5205	83	2	3	CARDINAL
ejpam-5205	84	1	10	CARDINAL
ejpam-5205	84	2	3	CARDINAL
ejpam-5205	84	3	4	CARDINAL
ejpam-5205	85	1	10	CARDINAL
ejpam-5205	85	2	2γcon(g	CARDINAL
ejpam-5205	86	1	3	CARDINAL
ejpam-5205	87	1	one	CARDINAL
ejpam-5205	88	1	+ ⟨v⟩.	PERSON
ejpam-5205	89	1	∈	ORG
ejpam-5205	91	1	2	CARDINAL
ejpam-5205	91	2	∩	PERSON
ejpam-5205	91	3	∩	PERSON
ejpam-5205	92	1	sv k = vk ∩	PERSON
ejpam-5205	92	2	0	CARDINAL
ejpam-5205	92	3	1	CARDINAL
ejpam-5205	92	4	2	CARDINAL
ejpam-5205	92	5	8	CARDINAL
ejpam-5205	95	1	∈ v2 ∩	PRODUCT
ejpam-5205	95	2	2	CARDINAL
ejpam-5205	96	1	sv 2	PERSON
ejpam-5205	97	1	∈	ORG
ejpam-5205	97	2	sv 1 ̸=	ORG
ejpam-5205	97	3	0 ⊆	CARDINAL
ejpam-5205	97	4	2	CARDINAL
ejpam-5205	97	5	sv 1	ORG
ejpam-5205	97	6	2	CARDINAL
ejpam-5205	98	1	sv 2	PERSON
ejpam-5205	99	1	g ◦h	ORG
ejpam-5205	99	2	∩	PERSON
ejpam-5205	99	3	1	CARDINAL
ejpam-5205	99	4	r. fortosa	PERSON
ejpam-5205	100	1	s. canoy jr.	PERSON
ejpam-5205	101	1	j. pure	PERSON
ejpam-5205	101	2	17	CARDINAL
ejpam-5205	101	3	2	CARDINAL
ejpam-5205	101	4	2024	CARDINAL
ejpam-5205	101	5	1335-1351 1339	CARDINAL
ejpam-5205	102	1	∈	ORG
ejpam-5205	103	1	1	CARDINAL
ejpam-5205	103	2	sv 1	ORG
ejpam-5205	104	1	w ∈	PERSON
ejpam-5205	104	2	∈	ORG
ejpam-5205	105	1	⊆	CARDINAL
ejpam-5205	105	2	w ∈	ORG
ejpam-5205	106	1	1	CARDINAL
ejpam-5205	106	2	w	ORG
ejpam-5205	106	3	∈	ORG
ejpam-5205	107	1	⊆	CARDINAL
ejpam-5205	107	2	sv 2	PERSON
ejpam-5205	107	3	2	CARDINAL
ejpam-5205	109	1	∩	PERSON
ejpam-5205	110	1	∈ v2 ∩	PRODUCT
ejpam-5205	111	1	1	CARDINAL
ejpam-5205	111	2	sv 1	ORG
ejpam-5205	111	3	2	CARDINAL
ejpam-5205	112	1	sv 2	PERSON
ejpam-5205	114	1	sv 1 ̸=	ORG
ejpam-5205	115	1	sv 2 ̸=	ORG
ejpam-5205	115	2	0 ⊆	CARDINAL
ejpam-5205	115	3	2	CARDINAL
ejpam-5205	115	4	1	CARDINAL
ejpam-5205	115	5	2	CARDINAL
ejpam-5205	116	1	sv 2	PERSON
ejpam-5205	118	1	∈	ORG
ejpam-5205	121	1	∈ v2	PRODUCT
ejpam-5205	122	1	∈	ORG
ejpam-5205	123	1	2	CARDINAL
ejpam-5205	124	1	∈	ORG
ejpam-5205	124	2	w ∈	PERSON
ejpam-5205	124	3	∈	ORG
ejpam-5205	126	1	1	CARDINAL
ejpam-5205	127	1	w.	PERSON
ejpam-5205	128	1	⊆	CARDINAL
ejpam-5205	128	2	v2	PRODUCT
ejpam-5205	129	1	∈	ORG
ejpam-5205	130	1	dhv(p	PERSON
ejpam-5205	130	2	1	CARDINAL
ejpam-5205	131	1	⊆	CARDINAL
ejpam-5205	131	2	v2	PRODUCT
ejpam-5205	132	1	dhv(p	PERSON
ejpam-5205	132	2	2	CARDINAL
ejpam-5205	133	1	nhv(p	ORG
ejpam-5205	134	1	⊆	CARDINAL
ejpam-5205	134	2	⊆	CARDINAL
ejpam-5205	134	3	2	CARDINAL
ejpam-5205	135	1	dhv(p	PERSON
ejpam-5205	135	2	2	CARDINAL
ejpam-5205	136	1	⊆	CARDINAL
ejpam-5205	136	2	v2	PRODUCT
ejpam-5205	136	3	2	CARDINAL
ejpam-5205	137	1	1	CARDINAL
ejpam-5205	138	1	w.	PERSON
ejpam-5205	138	2	⊆	CARDINAL
ejpam-5205	140	1	⊆	CARDINAL
ejpam-5205	141	1	2	CARDINAL
ejpam-5205	142	1	∈	ORG
ejpam-5205	144	1	w	ORG
ejpam-5205	144	2	⊆	CARDINAL
ejpam-5205	145	1	3	CARDINAL
ejpam-5205	146	1	∈	ORG
ejpam-5205	148	1	w	ORG
ejpam-5205	148	2	⊆	CARDINAL
ejpam-5205	148	3	v2	PRODUCT
ejpam-5205	149	1	2	CARDINAL
ejpam-5205	151	1	2n	CARDINAL
ejpam-5205	153	1	2	CARDINAL
ejpam-5205	154	1	⋃ v∈v	PERSON
ejpam-5205	154	2	1	CARDINAL
ejpam-5205	154	3	2	CARDINAL
ejpam-5205	155	1	′ 1	DATE
ejpam-5205	156	1	2 | =	TIME
ejpam-5205	156	2	2n	CARDINAL
ejpam-5205	157	1	1	CARDINAL
ejpam-5205	157	2	2	CARDINAL
ejpam-5205	157	3	∗ 1	DATE
ejpam-5205	158	1	k.	PERSON
ejpam-5205	159	1	∗ 2	DATE
ejpam-5205	159	2	∈	PRODUCT
ejpam-5205	159	3	∗ 1	DATE
ejpam-5205	159	4	sv 1 ̸=	ORG
ejpam-5205	160	1	sv 2 ̸=	ORG
ejpam-5205	160	2	∈	ORG
ejpam-5205	160	3	\d	ORG
ejpam-5205	162	1	r. fortosa	PERSON
ejpam-5205	162	2	s. canoy jr.	PERSON
ejpam-5205	163	1	j. pure	PERSON
ejpam-5205	163	2	17	CARDINAL
ejpam-5205	163	3	2	CARDINAL
ejpam-5205	163	4	2024	CARDINAL
ejpam-5205	163	5	1335-1351 1340	CARDINAL
ejpam-5205	164	1	1 |+ 2 (n− k	QUANTITY
ejpam-5205	165	1	2	CARDINAL
ejpam-5205	166	1	2n−	CARDINAL
ejpam-5205	166	2	k + ∑ v∈v	FAC
ejpam-5205	166	3	∑ v∈v	PERSON
ejpam-5205	166	4	2	CARDINAL
ejpam-5205	168	1	2 | ≥ 2n−	TIME
ejpam-5205	168	2	2|v1|	CARDINAL
ejpam-5205	168	3	2|d|	CARDINAL
ejpam-5205	168	4	2n+	CARDINAL
ejpam-5205	169	1	k −	ORG
ejpam-5205	170	1	2n	CARDINAL
ejpam-5205	175	1	∈	ORG
ejpam-5205	177	1	∈	ORG
ejpam-5205	177	2	1	CARDINAL
ejpam-5205	177	3	2	CARDINAL
ejpam-5205	178	1	0	CARDINAL
ejpam-5205	178	2	1	CARDINAL
ejpam-5205	178	3	2	CARDINAL
ejpam-5205	178	4	∩ v2	PERSON
ejpam-5205	179	1	γ(k2 ⋄ h	ORG
ejpam-5205	179	2	1	CARDINAL
ejpam-5205	179	3	1	CARDINAL
ejpam-5205	179	4	γcvr(k2	ORG
ejpam-5205	180	1	2	CARDINAL
ejpam-5205	180	2	9	CARDINAL
ejpam-5205	182	1	g ⋄ h	ORG
ejpam-5205	184	1	∩	WORK_OF_ART
ejpam-5205	184	2	1	CARDINAL
ejpam-5205	184	3	2	CARDINAL
ejpam-5205	184	4	∈	ORG
ejpam-5205	186	1	⊆	CARDINAL
ejpam-5205	186	2	1	CARDINAL
ejpam-5205	186	3	2	CARDINAL
ejpam-5205	186	4	1	CARDINAL
ejpam-5205	186	5	2	CARDINAL
ejpam-5205	186	6	1	CARDINAL
ejpam-5205	186	7	2	CARDINAL
ejpam-5205	187	1	e′ of g	GPE
ejpam-5205	187	2	1 ∪	CARDINAL
ejpam-5205	187	3	2	CARDINAL
ejpam-5205	187	4	1	CARDINAL
ejpam-5205	187	5	2	CARDINAL
ejpam-5205	187	6	e′	GPE
ejpam-5205	188	1	∈	ORG
ejpam-5205	188	2	1	CARDINAL
ejpam-5205	188	3	2	CARDINAL
ejpam-5205	188	4	1	CARDINAL
ejpam-5205	188	5	2	CARDINAL
ejpam-5205	188	6	2	CARDINAL
ejpam-5205	188	7	0 ⊆	CARDINAL
ejpam-5205	188	8	2	CARDINAL
ejpam-5205	189	1	∈	ORG
ejpam-5205	189	2	⊆	CARDINAL
ejpam-5205	189	3	1	CARDINAL
ejpam-5205	189	4	r.	NORP
ejpam-5205	189	5	s. canoy jr.	PERSON
ejpam-5205	190	1	j. pure	PERSON
ejpam-5205	190	2	17	CARDINAL
ejpam-5205	190	3	2	CARDINAL
ejpam-5205	190	4	2024	CARDINAL
ejpam-5205	190	5	1335-1351 1341	CARDINAL
ejpam-5205	191	1	1	CARDINAL
ejpam-5205	191	2	2	CARDINAL
ejpam-5205	191	3	huv	ORG
ejpam-5205	191	4	2	CARDINAL
ejpam-5205	191	5	2	CARDINAL
ejpam-5205	192	1	2	CARDINAL
ejpam-5205	194	1	∈	ORG
ejpam-5205	194	2	∈	ORG
ejpam-5205	195	1	v}∩(v 1	ORG
ejpam-5205	195	2	2	CARDINAL
ejpam-5205	199	1	1	CARDINAL
ejpam-5205	199	2	2	CARDINAL
ejpam-5205	199	3	1	CARDINAL
ejpam-5205	199	4	2	CARDINAL
ejpam-5205	200	1	g ⋄ h	ORG
ejpam-5205	200	2	⊆	CARDINAL
ejpam-5205	200	3	v2	PRODUCT
ejpam-5205	201	1	⊆	CARDINAL
ejpam-5205	201	2	1	CARDINAL
ejpam-5205	201	3	2	CARDINAL
ejpam-5205	202	1	e′	GPE
ejpam-5205	202	2	1 ∪	CARDINAL
ejpam-5205	202	3	2	CARDINAL
ejpam-5205	202	4	e′	GPE
ejpam-5205	203	1	∈	ORG
ejpam-5205	203	2	1 ∪	CARDINAL
ejpam-5205	203	3	2	CARDINAL
ejpam-5205	203	4	1 ∪	PERCENT
ejpam-5205	203	5	2	CARDINAL
ejpam-5205	204	1	⊆	CARDINAL
ejpam-5205	207	1	⊆	CARDINAL
ejpam-5205	208	1	1	CARDINAL
ejpam-5205	208	2	2	CARDINAL
ejpam-5205	213	1	⊆	CARDINAL
ejpam-5205	213	2	1	CARDINAL
ejpam-5205	214	1	1	CARDINAL
ejpam-5205	218	1	∈	ORG
ejpam-5205	218	2	v}+huv	PERSON
ejpam-5205	219	1	1	CARDINAL
ejpam-5205	219	2	0	CARDINAL
ejpam-5205	219	3	2	CARDINAL
ejpam-5205	220	1	2	CARDINAL
ejpam-5205	221	1	∈	ORG
ejpam-5205	221	2	2	CARDINAL
ejpam-5205	223	1	2	CARDINAL
ejpam-5205	223	2	∈	ORG
ejpam-5205	223	3	0	CARDINAL
ejpam-5205	224	1	∈ v2	PRODUCT
ejpam-5205	225	1	∈	ORG
ejpam-5205	228	1	∈	ORG
ejpam-5205	228	2	2	CARDINAL
ejpam-5205	230	1	1	CARDINAL
ejpam-5205	230	2	2	CARDINAL
ejpam-5205	231	1	∈	ORG
ejpam-5205	231	2	v}+huv	PERSON
ejpam-5205	231	3	w}+hzw	PERSON
ejpam-5205	232	1	1	CARDINAL
ejpam-5205	234	1	⊆	CARDINAL
ejpam-5205	234	2	v2	PRODUCT
ejpam-5205	234	3	∈	ORG
ejpam-5205	234	4	1	CARDINAL
ejpam-5205	234	5	2	CARDINAL
ejpam-5205	235	1	1	CARDINAL
ejpam-5205	235	2	1	CARDINAL
ejpam-5205	235	3	2	CARDINAL
ejpam-5205	235	4	huv	ORG
ejpam-5205	237	1	⊆	CARDINAL
ejpam-5205	237	2	v2	PRODUCT
ejpam-5205	237	3	2	CARDINAL
ejpam-5205	238	1	⊆	CARDINAL
ejpam-5205	238	2	1	CARDINAL
ejpam-5205	238	3	2	CARDINAL
ejpam-5205	239	1	1	CARDINAL
ejpam-5205	240	1	1	CARDINAL
ejpam-5205	240	2	2	CARDINAL
ejpam-5205	240	3	v)(c	PERSON
ejpam-5205	241	1	∩nhuv(y	CARDINAL
ejpam-5205	241	2	⊆	CARDINAL
ejpam-5205	241	3	1	CARDINAL
ejpam-5205	241	4	2	CARDINAL
ejpam-5205	243	1	⊆	CARDINAL
ejpam-5205	243	2	v2	PRODUCT
ejpam-5205	243	3	2	CARDINAL
ejpam-5205	244	1	̸=	ORG
ejpam-5205	247	1	⊆	CARDINAL
ejpam-5205	247	2	1	CARDINAL
ejpam-5205	247	3	∈	ORG
ejpam-5205	247	4	1	CARDINAL
ejpam-5205	247	5	1	CARDINAL
ejpam-5205	248	1	z.	PERSON
ejpam-5205	248	2	∈	ORG
ejpam-5205	248	3	1	CARDINAL
ejpam-5205	248	4	2	CARDINAL
ejpam-5205	250	1	⊆	CARDINAL
ejpam-5205	250	2	v2	PRODUCT
ejpam-5205	253	1	1	CARDINAL
ejpam-5205	254	1	ig[a	GPE
ejpam-5205	254	2	⊆	CARDINAL
ejpam-5205	254	3	1	CARDINAL
ejpam-5205	255	1	⊆	CARDINAL
ejpam-5205	255	2	v2	PRODUCT
ejpam-5205	256	1	∈	ORG
ejpam-5205	256	2	1	CARDINAL
ejpam-5205	256	3	2	CARDINAL
ejpam-5205	258	1	r.	NORP
ejpam-5205	258	2	s. canoy jr.	PERSON
ejpam-5205	259	1	j. pure	PERSON
ejpam-5205	259	2	17	CARDINAL
ejpam-5205	259	3	2	CARDINAL
ejpam-5205	259	4	2024	CARDINAL
ejpam-5205	259	5	1335-1351 1342	CARDINAL
ejpam-5205	259	6	⊆	CARDINAL
ejpam-5205	260	1	⊆	CARDINAL
ejpam-5205	261	1	1	CARDINAL
ejpam-5205	262	1	w0 = ext(g	ORG
ejpam-5205	262	2	∈	ORG
ejpam-5205	262	3	2	CARDINAL
ejpam-5205	265	1	∈	ORG
ejpam-5205	265	2	1	CARDINAL
ejpam-5205	265	3	g. corollary 3	PERSON
ejpam-5205	272	1	⋃	PRODUCT
ejpam-5205	274	1	9	CARDINAL
ejpam-5205	275	1	9	CARDINAL
ejpam-5205	276	1	2|v2|	ORG
ejpam-5205	276	2	|w1|+ 2|w2|	CARDINAL
ejpam-5205	277	1	1	CARDINAL
ejpam-5205	278	1	3	CARDINAL
ejpam-5205	279	1	integer n ≥ 3	ORG
ejpam-5205	280	1	3n−4 2	DATE
ejpam-5205	280	2	3n−5 2	DATE
ejpam-5205	281	1	∈	ORG
ejpam-5205	285	1	2	CARDINAL
ejpam-5205	287	1	4	CARDINAL
ejpam-5205	293	1	1	CARDINAL
ejpam-5205	293	2	4	CARDINAL
ejpam-5205	295	1	4	CARDINAL
ejpam-5205	296	1	4	CARDINAL
ejpam-5205	297	1	r. fortosa	PERSON
ejpam-5205	297	2	s. canoy jr.	PERSON
ejpam-5205	298	1	j. pure	PERSON
ejpam-5205	298	2	17	CARDINAL
ejpam-5205	298	3	2	CARDINAL
ejpam-5205	298	4	2024	CARDINAL
ejpam-5205	298	5	1335-1351 1343	CARDINAL
ejpam-5205	298	6	0	CARDINAL
ejpam-5205	301	1	1	CARDINAL
ejpam-5205	302	1	2	CARDINAL
ejpam-5205	302	2	wlog	ORG
ejpam-5205	302	3	∈	ORG
ejpam-5205	303	1	w ∈	PERSON
ejpam-5205	304	1	w /∈ ngg(u	NORP
ejpam-5205	305	1	one	CARDINAL
ejpam-5205	305	2	u ∈ igg[u	ORG
ejpam-5205	305	3	⊆	CARDINAL
ejpam-5205	305	4	⊆	CARDINAL
ejpam-5205	305	5	w ∈ igg[u	ORG
ejpam-5205	305	6	⊆	CARDINAL
ejpam-5205	307	1	2	CARDINAL
ejpam-5205	309	1	2	CARDINAL
ejpam-5205	309	2	0	CARDINAL
ejpam-5205	309	3	2	CARDINAL
ejpam-5205	311	1	wlog	PERSON
ejpam-5205	315	1	∈	ORG
ejpam-5205	315	2	xy ∈	PERSON
ejpam-5205	318	1	6	CARDINAL
ejpam-5205	321	1	2γcon(gg	CARDINAL
ejpam-5205	321	2	g = kn	PERSON
ejpam-5205	321	3	γcvr(gg	NORP
ejpam-5205	321	4	2n	CARDINAL
ejpam-5205	326	1	2n	CARDINAL
ejpam-5205	327	1	γcon(gg	ORG
ejpam-5205	327	2	8	CARDINAL
ejpam-5205	327	3	4	CARDINAL
ejpam-5205	328	1	γcon(gg	ORG
ejpam-5205	328	2	4	CARDINAL
ejpam-5205	329	1	two	CARDINAL
ejpam-5205	330	1	∈	ORG
ejpam-5205	331	1	⊆	CARDINAL
ejpam-5205	331	2	∈	ORG
ejpam-5205	331	3	∈	ORG
ejpam-5205	332	1	sg	PERSON
ejpam-5205	334	1	∈	ORG
ejpam-5205	334	2	∈	ORG
ejpam-5205	334	3	∈	ORG
ejpam-5205	334	4	0	CARDINAL
ejpam-5205	335	1	r. fortosa	PERSON
ejpam-5205	335	2	s. canoy jr.	PERSON
ejpam-5205	336	1	j. pure	PERSON
ejpam-5205	336	2	17	CARDINAL
ejpam-5205	336	3	2	CARDINAL
ejpam-5205	336	4	2024	CARDINAL
ejpam-5205	336	5	1335-1351 1344	CARDINAL
ejpam-5205	336	6	1	CARDINAL
ejpam-5205	336	7	2	CARDINAL
ejpam-5205	337	1	0	CARDINAL
ejpam-5205	337	2	1	CARDINAL
ejpam-5205	338	1	∩	PERSON
ejpam-5205	339	1	1	CARDINAL
ejpam-5205	339	2	2	CARDINAL
ejpam-5205	340	1	10	CARDINAL
ejpam-5205	343	1	1	CARDINAL
ejpam-5205	343	2	2	CARDINAL
ejpam-5205	343	3	g. (ii	PERSON
ejpam-5205	343	4	⊆	CARDINAL
ejpam-5205	344	1	∈	ORG
ejpam-5205	344	2	w ∈ s2	PERSON
ejpam-5205	348	1	1	CARDINAL
ejpam-5205	348	2	2	CARDINAL
ejpam-5205	348	3	0	CARDINAL
ejpam-5205	350	1	q)(y	LOC
ejpam-5205	350	2	∈	ORG
ejpam-5205	351	1	2	CARDINAL
ejpam-5205	351	2	∈	ORG
ejpam-5205	351	3	1	CARDINAL
ejpam-5205	351	4	2	CARDINAL
ejpam-5205	355	1	uk	GPE
ejpam-5205	355	2	r ≤ k.	PERSON
ejpam-5205	355	3	1	CARDINAL
ejpam-5205	355	4	∈	ORG
ejpam-5205	355	5	1	CARDINAL
ejpam-5205	355	6	∈	ORG
ejpam-5205	355	7	2	CARDINAL
ejpam-5205	355	8	∈	ORG
ejpam-5205	359	1	ur−1	GPE
ejpam-5205	360	1	uk	GPE
ejpam-5205	361	1	v2	PRODUCT
ejpam-5205	362	1	∈	ORG
ejpam-5205	362	2	1	CARDINAL
ejpam-5205	362	3	2	CARDINAL
ejpam-5205	363	1	1	CARDINAL
ejpam-5205	363	2	2	CARDINAL
ejpam-5205	363	3	∈	ORG
ejpam-5205	363	4	2	CARDINAL
ejpam-5205	363	5	2	CARDINAL
ejpam-5205	363	6	∈	PRODUCT
ejpam-5205	363	7	1	CARDINAL
ejpam-5205	363	8	2	CARDINAL
ejpam-5205	367	1	ur−1	GPE
ejpam-5205	368	1	uk	GPE
ejpam-5205	368	2	s)-(v	PERSON
ejpam-5205	371	1	∈	ORG
ejpam-5205	371	2	1	CARDINAL
ejpam-5205	371	3	2	CARDINAL
ejpam-5205	372	1	∈	ORG
ejpam-5205	376	1	j ≤ k.	PERSON
ejpam-5205	377	1	v2	PRODUCT
ejpam-5205	382	1	xj	ORG
ejpam-5205	382	2	xj ∈	PERSON
ejpam-5205	384	1	∈	ORG
ejpam-5205	385	1	v2	PRODUCT
ejpam-5205	387	1	r. fortosa	PERSON
ejpam-5205	387	2	s. canoy jr.	PERSON
ejpam-5205	388	1	j. pure	PERSON
ejpam-5205	388	2	17	CARDINAL
ejpam-5205	388	3	2	CARDINAL
ejpam-5205	388	4	2024	CARDINAL
ejpam-5205	388	5	1335-1351 1345	DATE
ejpam-5205	388	6	∈	ORG
ejpam-5205	388	7	∈	ORG
ejpam-5205	389	1	a)(w	ORG
ejpam-5205	389	2	∈	ORG
ejpam-5205	395	1	∈	ORG
ejpam-5205	395	2	∈	ORG
ejpam-5205	397	1	w ∈ s2	PERSON
ejpam-5205	398	1	∈	ORG
ejpam-5205	400	1	∈	ORG
ejpam-5205	400	2	0	CARDINAL
ejpam-5205	400	3	2	CARDINAL
ejpam-5205	402	1	p)(z	GPE
ejpam-5205	402	2	∈	ORG
ejpam-5205	404	1	⋃	PERSON
ejpam-5205	406	1	tx	ORG
ejpam-5205	406	2	⊆	PRODUCT
ejpam-5205	406	3	s. morever	PERSON
ejpam-5205	406	4	tx	ORG
ejpam-5205	406	5	∩ s.	PERSON
ejpam-5205	406	6	2	CARDINAL
ejpam-5205	408	1	2	CARDINAL
ejpam-5205	411	1	m−	NORP
ejpam-5205	411	2	1	CARDINAL
ejpam-5205	411	3	{ ωcvr g	PERSON
ejpam-5205	412	1	m−	NORP
ejpam-5205	412	2	h′	PERSON
ejpam-5205	412	3	⊆	CARDINAL
ejpam-5205	412	4	h. proof	PERSON
ejpam-5205	413	1	∈	ORG
ejpam-5205	413	2	∈	ORG
ejpam-5205	414	1	w1 ∪	ORG
ejpam-5205	417	1	2	CARDINAL
ejpam-5205	418	1	h′	ORG
ejpam-5205	418	2	w ′ 0,w	DATE
ejpam-5205	419	1	∈	ORG
ejpam-5205	419	2	2	CARDINAL
ejpam-5205	419	3	⊆	CARDINAL
ejpam-5205	420	1	∈	ORG
ejpam-5205	422	1	2	CARDINAL
ejpam-5205	422	2	⊆	CARDINAL
ejpam-5205	422	3	2	CARDINAL
ejpam-5205	422	4	2	CARDINAL
ejpam-5205	422	5	h′	PERSON
ejpam-5205	426	1	2|	CARDINAL
ejpam-5205	431	1	∈	ORG
ejpam-5205	431	2	∈	ORG
ejpam-5205	431	3	∩	ORG
ejpam-5205	434	1	⊆	CARDINAL
ejpam-5205	434	2	⊆	CARDINAL
ejpam-5205	434	3	∈	ORG
ejpam-5205	434	4	∩	ORG
ejpam-5205	435	1	∈	ORG
ejpam-5205	436	1	∈	ORG
ejpam-5205	437	1	{x	PERSON
ejpam-5205	438	1	2	CARDINAL
ejpam-5205	439	1	h∗	ORG
ejpam-5205	439	2	2	CARDINAL
ejpam-5205	439	3	h∗	ORG
ejpam-5205	441	1	s0	ORG
ejpam-5205	441	2	h∗ ⊆ s0 h	PRODUCT
ejpam-5205	441	3	ω cvr g	FAC
ejpam-5205	441	4	1	CARDINAL
ejpam-5205	441	5	∣∣s0 h∗	PERSON
ejpam-5205	442	1	∩	ORG
ejpam-5205	442	2	∩	ORG
ejpam-5205	450	1	m−	NORP
ejpam-5205	452	1	⊆	CARDINAL
ejpam-5205	453	1	1	CARDINAL
ejpam-5205	455	1	{ ωcvr g	PERSON
ejpam-5205	455	2	m−	NORP
ejpam-5205	457	1	r. fortosa	PERSON
ejpam-5205	457	2	s. canoy jr.	PERSON
ejpam-5205	458	1	j. pure	PERSON
ejpam-5205	458	2	17	CARDINAL
ejpam-5205	458	3	2	CARDINAL
ejpam-5205	458	4	2024	CARDINAL
ejpam-5205	458	5	1335-1351	CARDINAL
ejpam-5205	459	1	k = min	PERSON
ejpam-5205	459	2	{ ωcvr g	PERSON
ejpam-5205	459	3	m−	NORP
ejpam-5205	462	1	1	CARDINAL
ejpam-5205	462	2	2	CARDINAL
ejpam-5205	462	3	10	CARDINAL
ejpam-5205	464	1	∈	ORG
ejpam-5205	466	1	⊆	CARDINAL
ejpam-5205	466	2	1	CARDINAL
ejpam-5205	466	3	x∈s1	FAC
ejpam-5205	466	4	m−	PERSON
ejpam-5205	467	1	1)|s0	DATE
ejpam-5205	467	2	1	CARDINAL
ejpam-5205	468	1	m−	PERSON
ejpam-5205	468	2	1)|s0 g	DATE
ejpam-5205	469	1	m−	PERSON
ejpam-5205	469	2	≥ k.	PERSON
ejpam-5205	472	1	lemma 2	ORG
ejpam-5205	472	2	⊆	PRODUCT
ejpam-5205	476	1	0	CARDINAL
ejpam-5205	476	2	1	CARDINAL
ejpam-5205	476	3	2	CARDINAL
ejpam-5205	477	1	10	CARDINAL
ejpam-5205	478	1	m−	NORP
ejpam-5205	478	2	1)|(w1	CARDINAL
ejpam-5205	478	3	∩ s0 g |+	WORK_OF_ART
ejpam-5205	478	4	m−	NORP
ejpam-5205	479	1	m−	PERSON
ejpam-5205	482	1	2	CARDINAL
ejpam-5205	483	1	11	CARDINAL
ejpam-5205	485	1	2	CARDINAL
ejpam-5205	486	1	g. (ii	PERSON
ejpam-5205	486	2	1 x	QUANTITY
ejpam-5205	486	3	2	CARDINAL
ejpam-5205	486	4	s2 g. r. fortosa	PERSON
ejpam-5205	486	5	s. canoy jr.	PERSON
ejpam-5205	487	1	j. pure	PERSON
ejpam-5205	487	2	17	CARDINAL
ejpam-5205	487	3	2	CARDINAL
ejpam-5205	487	4	2024	CARDINAL
ejpam-5205	487	5	1335-1351 1347	CARDINAL
ejpam-5205	487	6	2	CARDINAL
ejpam-5205	490	1	2	CARDINAL
ejpam-5205	490	2	4	CARDINAL
ejpam-5205	492	1	2	CARDINAL
ejpam-5205	493	1	p)(x	ORG
ejpam-5205	494	1	∈	ORG
ejpam-5205	494	2	2	CARDINAL
ejpam-5205	494	3	pq ∈ e(h	ORG
ejpam-5205	495	1	2	CARDINAL
ejpam-5205	498	1	2	CARDINAL
ejpam-5205	498	2	∈	ORG
ejpam-5205	498	3	∩	ORG
ejpam-5205	499	1	∈	ORG
ejpam-5205	499	2	2	CARDINAL
ejpam-5205	500	1	∈ v2 ∩ ng[h]((x	PERSON
ejpam-5205	501	1	2	CARDINAL
ejpam-5205	501	2	∈	ORG
ejpam-5205	501	3	2	CARDINAL
ejpam-5205	504	1	⋃	PERSON
ejpam-5205	506	1	tx	ORG
ejpam-5205	506	2	1 x	QUANTITY
ejpam-5205	507	1	3	CARDINAL
ejpam-5205	509	1	5	CARDINAL
ejpam-5205	510	1	2	CARDINAL
ejpam-5205	512	1	2γcl(g	DATE
ejpam-5205	520	1	2	CARDINAL
ejpam-5205	520	2	∈	ORG
ejpam-5205	520	3	11	CARDINAL
ejpam-5205	521	1	2γcl(g	DATE
ejpam-5205	523	1	11	CARDINAL
ejpam-5205	523	2	2	CARDINAL
ejpam-5205	523	3	2	CARDINAL
ejpam-5205	524	1	g[h](f	PERSON
ejpam-5205	525	1	x∈s1	FAC
ejpam-5205	525	2	1 x |+	QUANTITY
ejpam-5205	525	3	|t	DATE
ejpam-5205	525	4	2 x	QUANTITY
ejpam-5205	527	1	12	CARDINAL
ejpam-5205	529	1	1	CARDINAL
ejpam-5205	529	2	2	CARDINAL
ejpam-5205	529	3	γ(h	ORG
ejpam-5205	529	4	1 4	DATE
ejpam-5205	529	5	r. fortosa	PERSON
ejpam-5205	529	6	s. canoy jr.	PERSON
ejpam-5205	530	1	j. pure	PERSON
ejpam-5205	530	2	17	CARDINAL
ejpam-5205	530	3	2	CARDINAL
ejpam-5205	530	4	2024	CARDINAL
ejpam-5205	530	5	1335-1351 1348	CARDINAL
ejpam-5205	531	1	γ(h	ORG
ejpam-5205	531	2	1	CARDINAL
ejpam-5205	531	3	1	CARDINAL
ejpam-5205	531	4	1	CARDINAL
ejpam-5205	532	1	2	CARDINAL
ejpam-5205	535	1	w ∈	ORG
ejpam-5205	539	1	∈	ORG
ejpam-5205	540	1	q)(v	PERSON
ejpam-5205	544	1	v2 = v2	PERSON
ejpam-5205	547	1	4	CARDINAL
ejpam-5205	547	2	4	CARDINAL
ejpam-5205	547	3	3	CARDINAL
ejpam-5205	548	1	cartesian	NORP
ejpam-5205	548	2	two	CARDINAL
ejpam-5205	548	3	∈	ORG
ejpam-5205	548	4	u′v′ ∈ e(h	ORG
ejpam-5205	549	1	3	CARDINAL
ejpam-5205	557	1	∈	ORG
ejpam-5205	557	2	× s2 h .	ORG
ejpam-5205	562	1	w	GPE
ejpam-5205	563	1	w = z.	PERSON
ejpam-5205	563	2	∈ e(h	ORG
ejpam-5205	572	1	yk	ORG
ejpam-5205	572	2	q)-(z	GPE
ejpam-5205	573	1	w ̸= z.	PERSON
ejpam-5205	573	2	∈	ORG
ejpam-5205	573	3	∈	ORG
ejpam-5205	577	1	qm	ORG
ejpam-5205	583	1	w	GPE
ejpam-5205	583	2	q)-(z	GPE
ejpam-5205	584	1	∈	ORG
ejpam-5205	584	2	∈	ORG
ejpam-5205	584	3	∈	ORG
ejpam-5205	585	1	⊆	CARDINAL
ejpam-5205	585	2	v2	PRODUCT
ejpam-5205	587	1	13	CARDINAL
ejpam-5205	591	1	∈	ORG
ejpam-5205	591	2	2	CARDINAL
ejpam-5205	591	3	∈	ORG
ejpam-5205	591	4	∩	ORG
ejpam-5205	591	5	∈	ORG
ejpam-5205	592	1	r. fortosa	PERSON
ejpam-5205	592	2	s. canoy jr.	PERSON
ejpam-5205	593	1	j. pure	PERSON
ejpam-5205	593	2	17	CARDINAL
ejpam-5205	593	3	2	CARDINAL
ejpam-5205	593	4	2024	CARDINAL
ejpam-5205	593	5	1335-1351 1349	CARDINAL
ejpam-5205	598	1	3	CARDINAL
ejpam-5205	599	1	6	CARDINAL
ejpam-5205	606	1	5	CARDINAL
ejpam-5205	606	2	6	CARDINAL
ejpam-5205	614	1	13	CARDINAL
ejpam-5205	614	2	2|v2|	ORG
ejpam-5205	614	3	2|w2	CARDINAL
ejpam-5205	615	1	n(|w1|+ 2|w2|	PRODUCT
ejpam-5205	619	1	2	CARDINAL
ejpam-5205	620	1	6	CARDINAL
ejpam-5205	621	1	γcvr(kn□h	ORG
ejpam-5205	621	2	2	CARDINAL
ejpam-5205	621	3	m. 4	PERSON
ejpam-5205	626	1	1350	CARDINAL
ejpam-5205	627	1	msu-iligan institute of technology	ORG
ejpam-5205	628	1	1	CARDINAL
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ejpam-5205	630	1	australasian journal of combinatorics	ORG
ejpam-5205	630	2	52:11–18	CARDINAL
ejpam-5205	630	3	2012	DATE
ejpam-5205	631	1	2	CARDINAL
ejpam-5205	631	2	m.a. henning	PERSON
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ejpam-5205	632	1	10(2):501–517	DATE
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ejpam-5205	633	1	3	CARDINAL
ejpam-5205	633	2	alvarez-ruiz	PERSON
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ejpam-5205	633	5	j.c. valenzuelatripodoro	PERSON
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ejpam-5205	635	1	231:44–59	CARDINAL
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ejpam-5205	636	1	4	CARDINAL
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ejpam-5205	638	2	796:1–21	CARDINAL
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ejpam-5205	639	1	5	CARDINAL
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ejpam-5205	642	1	6	CARDINAL
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ejpam-5205	644	1	116):115–126, 2002	DATE
ejpam-5205	645	1	7	CARDINAL
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ejpam-5205	646	1	2	CARDINAL
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ejpam-5205	648	1	8	CARDINAL
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ejpam-5205	648	5	s.t.	PERSON
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ejpam-5205	650	1	278(13):11–22, 2004	DATE
ejpam-5205	651	1	9	CARDINAL
ejpam-5205	651	2	enriquez	PERSON
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ejpam-5205	653	1	10	CARDINAL
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ejpam-5205	654	1	european journal	ORG
ejpam-5205	654	2	2023	CARDINAL
ejpam-5205	655	1	11	CARDINAL
ejpam-5205	655	2	f. harary	PERSON
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ejpam-5205	657	1	16(2):185–190, 1981	DATE
ejpam-5205	658	1	12	CARDINAL
ejpam-5205	658	2	haynes	ORG
ejpam-5205	658	3	s.t. hedetneme	PERSON
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ejpam-5205	660	1	marcel dekker	PERSON
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ejpam-5205	660	3	1980	DATE
ejpam-5205	661	1	1351	CARDINAL
ejpam-5205	661	2	13	CARDINAL
ejpam-5205	661	3	henning	PERSON
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ejpam-5205	663	1	236:235–245	DATE
ejpam-5205	663	2	2018	DATE
ejpam-5205	664	1	14	CARDINAL
ejpam-5205	664	2	canoy jr.	PERSON
ejpam-5205	665	1	2014	DATE
ejpam-5205	666	1	15	CARDINAL
ejpam-5205	666	2	canoy jr and	PERSON
ejpam-5205	668	1	combinatorics	ORG
ejpam-5205	668	2	18(4):787–793, 2002	DATE
ejpam-5205	669	1	16	CARDINAL
ejpam-5205	669	2	k. kammerling	PERSON
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ejpam-5205	670	1	roman k-domination	PERSON
ejpam-5205	671	1	the korean mathematical society	ORG
ejpam-5205	671	2	2009	DATE
ejpam-5205	672	1	17	CARDINAL
ejpam-5205	672	2	labendia	PERSON
ejpam-5205	672	3	s.r. canoy jr.	PERSON
ejpam-5205	673	1	czechoslovak mathematical journal	ORG
ejpam-5205	673	2	62:1003–1009	CARDINAL
ejpam-5205	673	3	2012	DATE
ejpam-5205	674	1	18	CARDINAL
ejpam-5205	674	2	m. lemanska	PERSON
ejpam-5205	676	1	opuscula mathematica	PERSON
ejpam-5205	676	2	24(2):181–188, 2004	DATE
ejpam-5205	677	1	19	CARDINAL
ejpam-5205	679	1	international journal of research	ORG
ejpam-5205	679	2	2(10):333–340	CARDINAL
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ejpam-5205	680	1	20	CARDINAL
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ejpam-5205	682	1	2350085	DATE
ejpam-5205	682	2	2023	CARDINAL
ejpam-5205	683	1	21	CARDINAL
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ejpam-5205	689	1	upc	PERSON
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ejpam-5205	690	2	1–21, 2004	DATE
ejpam-5205	691	1	22	CARDINAL
ejpam-5205	693	1	malini mai.	PERSON
ejpam-5205	694	1	69:175–182	CARDINAL
ejpam-5205	694	2	2009	DATE
ejpam-5205	695	1	23	CARDINAL
ejpam-5205	695	2	revelle	PERSON
ejpam-5205	695	3	k.e.	GPE
ejpam-5205	697	1	defendens imperium romanum	PERSON
ejpam-5205	698	1	monthly	DATE
ejpam-5205	698	2	107(7):585–594, 2000	DATE
ejpam-5205	699	1	24	CARDINAL
ejpam-5205	699	2	i. stewart	PERSON
ejpam-5205	701	1	american	NORP
ejpam-5205	701	2	281(6):136–138, 1999	DATE