id	sid	eid	entity	type
ejpam-3485	1	1	european journal	ORG
ejpam-3485	2	1	12	CARDINAL
ejpam-3485	2	2	4, 2019,	DATE
ejpam-3485	2	3	1779-1786	DATE
ejpam-3485	2	4	1307-5543	DATE
ejpam-3485	2	5	new york	GPE
ejpam-3485	2	6	cris l. armada1	PERSON
ejpam-3485	2	7	sergio r. canoy	PERSON
ejpam-3485	2	8	jr.2,∗	DATE
ejpam-3485	2	9	carmelito e. go3 1	PERSON
ejpam-3485	2	10	6000	CARDINAL
ejpam-3485	2	11	cebu city	GPE
ejpam-3485	2	12	philippines 2 department	ORG
ejpam-3485	2	13	mindanao state university-iligan institute of technology	ORG
ejpam-3485	2	14	9200	CARDINAL
ejpam-3485	2	15	iligan city	GPE
ejpam-3485	2	16	philippines 3 department	ORG
ejpam-3485	2	17	mindanao state university	ORG
ejpam-3485	2	18	9700	CARDINAL
ejpam-3485	2	19	marawi city	GPE
ejpam-3485	2	20	philippines	GPE
ejpam-3485	3	1	two	CARDINAL
ejpam-3485	5	1	2010	DATE
ejpam-3485	5	2	05c69	CARDINAL
ejpam-3485	5	3	1	CARDINAL
ejpam-3485	7	1	⊆	CARDINAL
ejpam-3485	7	2	at least one	CARDINAL
ejpam-3485	7	3	⊆	CARDINAL
ejpam-3485	9	1	〉	CARDINAL
ejpam-3485	16	1	g. ∗corresponding	PERSON
ejpam-3485	18	1	cris.armada@g.msuiit.edu.ph	ORG
ejpam-3485	18	2	c. armada	PERSON
ejpam-3485	18	3	s. canoy	PERSON
ejpam-3485	18	4	1779	DATE
ejpam-3485	18	5	2019	DATE
ejpam-3485	19	1	c. armada	PERSON
ejpam-3485	19	2	s. canoy jr.	PERSON
ejpam-3485	20	1	j. pure	PERSON
ejpam-3485	20	2	12	CARDINAL
ejpam-3485	20	3	4	CARDINAL
ejpam-3485	20	4	2019	CARDINAL
ejpam-3485	20	5	1779-1786	DATE
ejpam-3485	22	1	fγt(g	ORG
ejpam-3485	25	1	fγc(g	PERSON
ejpam-3485	25	2	= min{fγc(c	PERSON
ejpam-3485	27	1	chartrand et	PERSON
ejpam-3485	28	1	al	ORG
ejpam-3485	29	1	2	CARDINAL
ejpam-3485	29	2	1997	DATE
ejpam-3485	30	1	2017	DATE
ejpam-3485	30	2	john et	PERSON
ejpam-3485	31	1	al	PERSON
ejpam-3485	32	1	3	CARDINAL
ejpam-3485	33	1	2018	DATE
ejpam-3485	35	1	1	CARDINAL
ejpam-3485	36	1	two	CARDINAL
ejpam-3485	36	2	∈	ORG
ejpam-3485	36	3	u′v′ ∈ e(h	ORG
ejpam-3485	37	1	⊆	CARDINAL
ejpam-3485	38	1	∈	ORG
ejpam-3485	38	2	∈	ORG
ejpam-3485	39	1	⊆	CARDINAL
ejpam-3485	39	2	⊆	CARDINAL
ejpam-3485	39	3	tx	ORG
ejpam-3485	39	4	∈	ORG
ejpam-3485	39	5	s. 2	PERSON
ejpam-3485	40	1	2.1	CARDINAL
ejpam-3485	41	1	1	CARDINAL
ejpam-3485	43	1	c. armada	PERSON
ejpam-3485	43	2	s. canoy jr.	PERSON
ejpam-3485	44	1	j. pure	PERSON
ejpam-3485	44	2	12	CARDINAL
ejpam-3485	44	3	4	CARDINAL
ejpam-3485	44	4	2019	CARDINAL
ejpam-3485	44	5	1779-1786	DATE
ejpam-3485	44	6	2.2	CARDINAL
ejpam-3485	46	1	⊆	CARDINAL
ejpam-3485	46	2	⊆	CARDINAL
ejpam-3485	46	3	tx	ORG
ejpam-3485	46	4	⊆	PRODUCT
ejpam-3485	46	5	g[h	ORG
ejpam-3485	47	1	tx	ORG
ejpam-3485	49	1	⊆	CARDINAL
ejpam-3485	49	2	tx	ORG
ejpam-3485	49	3	⊆	PRODUCT
ejpam-3485	49	4	∈	ORG
ejpam-3485	49	5	g[h	ORG
ejpam-3485	50	1	∈	ORG
ejpam-3485	51	1	g[h	ORG
ejpam-3485	54	1	6=	CARDINAL
ejpam-3485	55	1	∈	ORG
ejpam-3485	57	1	yz /∈ e(h	ORG
ejpam-3485	57	2	tx	ORG
ejpam-3485	60	1	g[h	ORG
ejpam-3485	62	1	tx	ORG
ejpam-3485	62	2	tx	ORG
ejpam-3485	63	1	first	ORDINAL
ejpam-3485	63	2	∈	ORG
ejpam-3485	64	1	tx	ORG
ejpam-3485	65	1	t)(x	PERSON
ejpam-3485	67	1	∈	ORG
ejpam-3485	68	1	∈	ORG
ejpam-3485	69	1	∈ s.	PERSON
ejpam-3485	69	2	∈	ORG
ejpam-3485	69	3	t)(z	GPE
ejpam-3485	70	1	u /∈ ng(z	ORG
ejpam-3485	73	1	∈ e(h	ORG
ejpam-3485	74	1	t)(u	ORG
ejpam-3485	77	1	g[h	ORG
ejpam-3485	78	1	2.3	CARDINAL
ejpam-3485	80	1	2	CARDINAL
ejpam-3485	80	2	⊆	CARDINAL
ejpam-3485	80	3	⊆	CARDINAL
ejpam-3485	80	4	tx	ORG
ejpam-3485	80	5	⊆	PRODUCT
ejpam-3485	80	6	g[h	ORG
ejpam-3485	80	7	1	CARDINAL
ejpam-3485	81	1	∈	ORG
ejpam-3485	83	1	2|s\ng(s)|	CARDINAL
ejpam-3485	83	2	1	CARDINAL
ejpam-3485	83	3	tx	ORG
ejpam-3485	83	4	2	CARDINAL
ejpam-3485	85	1	tx	ORG
ejpam-3485	85	2	g[h	ORG
ejpam-3485	86	1	2.2	CARDINAL
ejpam-3485	86	2	tx	ORG
ejpam-3485	87	1	first	ORDINAL
ejpam-3485	88	1	∈	ORG
ejpam-3485	92	1	|c∗|	PERSON
ejpam-3485	93	1	1	CARDINAL
ejpam-3485	93	2	s.	PERSON
ejpam-3485	94	1	first	ORDINAL
ejpam-3485	96	1	s. canoy jr.	PERSON
ejpam-3485	97	1	j. pure	PERSON
ejpam-3485	97	2	12	CARDINAL
ejpam-3485	97	3	4	CARDINAL
ejpam-3485	97	4	2019	CARDINAL
ejpam-3485	97	5	1779-1786 1782	DATE
ejpam-3485	97	6	∈	ORG
ejpam-3485	97	7	∈	ORG
ejpam-3485	99	1	2.1	CARDINAL
ejpam-3485	101	1	2	CARDINAL
ejpam-3485	102	1	∈	ORG
ejpam-3485	105	1	2.2(ii	CARDINAL
ejpam-3485	106	1	|c∗|	PERSON
ejpam-3485	106	2	1	CARDINAL
ejpam-3485	107	1	w ∈ s	PERSON
ejpam-3485	107	2	tw	ORG
ejpam-3485	107	3	tw	ORG
ejpam-3485	107	4	2	CARDINAL
ejpam-3485	108	1	2	CARDINAL
ejpam-3485	109	1	2.2(ii	CARDINAL
ejpam-3485	110	1	|c1|	GPE
ejpam-3485	111	1	tx	ORG
ejpam-3485	113	1	2.4	CARDINAL
ejpam-3485	115	1	2	CARDINAL
ejpam-3485	115	2	tx	ORG
ejpam-3485	115	3	⊆	CARDINAL
ejpam-3485	115	4	tx	ORG
ejpam-3485	115	5	⊆	PRODUCT
ejpam-3485	115	6	g[h	ORG
ejpam-3485	115	7	1	CARDINAL
ejpam-3485	116	1	tx	ORG
ejpam-3485	116	2	g[h	ORG
ejpam-3485	118	1	tx	ORG
ejpam-3485	118	2	2.2	CARDINAL
ejpam-3485	119	1	2	CARDINAL
ejpam-3485	119	2	2	CARDINAL
ejpam-3485	120	1	2.1	CARDINAL
ejpam-3485	120	2	∑ x∈s∩ng(s	PERSON
ejpam-3485	120	3	|tx|+ ∑ x∈s\ng(s	PERSON
ejpam-3485	121	1	∈	ORG
ejpam-3485	123	1	g[h	ORG
ejpam-3485	125	1	1	CARDINAL
ejpam-3485	125	2	1	CARDINAL
ejpam-3485	125	3	2.2	CARDINAL
ejpam-3485	125	4	g[h	ORG
ejpam-3485	126	1	c1 = ∪x∈s1({x}×lx	PERSON
ejpam-3485	126	2	g[h	ORG
ejpam-3485	126	3	2.2	CARDINAL
ejpam-3485	127	1	d2 = s1 \ng(s1	PERSON
ejpam-3485	128	1	2.2	CARDINAL
ejpam-3485	128	2	|lx|+ ∑	PERSON
ejpam-3485	129	1	2.1	CARDINAL
ejpam-3485	130	1	g[h	ORG
ejpam-3485	131	1	2.5	CARDINAL
ejpam-3485	135	1	∈	ORG
ejpam-3485	135	2	tx	ORG
ejpam-3485	136	1	2.3	CARDINAL
ejpam-3485	136	2	2.4	CARDINAL
ejpam-3485	136	3	g[h	ORG
ejpam-3485	139	1	2.6	CARDINAL
ejpam-3485	142	1	c. armada	PERSON
ejpam-3485	142	2	s. canoy jr.	PERSON
ejpam-3485	143	1	j. pure	PERSON
ejpam-3485	143	2	12	CARDINAL
ejpam-3485	143	3	4	CARDINAL
ejpam-3485	143	4	2019	CARDINAL
ejpam-3485	143	5	1779-1786	DATE
ejpam-3485	144	1	g[h	ORG
ejpam-3485	144	2	first	ORDINAL
ejpam-3485	144	3	1	CARDINAL
ejpam-3485	144	4	2.3	CARDINAL
ejpam-3485	144	5	2.4	CARDINAL
ejpam-3485	145	1	tx	ORG
ejpam-3485	145	2	∈	ORG
ejpam-3485	145	3	tx	ORG
ejpam-3485	146	1	c∗	PERSON
ejpam-3485	146	2	g[h	ORG
ejpam-3485	146	3	c∗ 6= c	ORG
ejpam-3485	148	1	2|s\ng(s)|	CARDINAL
ejpam-3485	149	1	1	CARDINAL
ejpam-3485	149	2	tx	ORG
ejpam-3485	149	3	∈	ORG
ejpam-3485	149	4	2.3(ii	CARDINAL
ejpam-3485	150	1	2	CARDINAL
ejpam-3485	152	1	⊆	CARDINAL
ejpam-3485	152	2	⊆	CARDINAL
ejpam-3485	153	1	∈	PRODUCT
ejpam-3485	153	2	vy	ORG
ejpam-3485	153	3	y ∈ s	PERSON
ejpam-3485	158	1	2|s\ng(s)|	CARDINAL
ejpam-3485	161	1	vy	ORG
ejpam-3485	165	1	tx	ORG
ejpam-3485	170	1	2|sq\ng(sq)|	CARDINAL
ejpam-3485	171	1	2	CARDINAL
ejpam-3485	172	1	g[h	ORG
ejpam-3485	172	2	2.3	CARDINAL
ejpam-3485	172	3	2.4	DATE
ejpam-3485	172	4	rc ⊆	ORG
ejpam-3485	174	1	⊆	CARDINAL
ejpam-3485	175	1	3	CARDINAL
ejpam-3485	175	2	3.1	CARDINAL
ejpam-3485	177	1	⊆	CARDINAL
ejpam-3485	177	2	⊆	CARDINAL
ejpam-3485	177	3	tx	ORG
ejpam-3485	177	4	⊆	PRODUCT
ejpam-3485	177	5	g[h	ORG
ejpam-3485	178	1	tx	ORG
ejpam-3485	178	2	1	CARDINAL
ejpam-3485	180	1	⊆	CARDINAL
ejpam-3485	180	2	⊆	CARDINAL
ejpam-3485	180	3	tx	ORG
ejpam-3485	180	4	⊆	PRODUCT
ejpam-3485	180	5	g[h	ORG
ejpam-3485	181	1	y ∈ s	PERSON
ejpam-3485	181	2	6=	CARDINAL
ejpam-3485	181	3	xy /∈ e(g	PERSON
ejpam-3485	182	1	∈	ORG
ejpam-3485	182	2	tx	ORG
ejpam-3485	182	3	∈	ORG
ejpam-3485	185	1	〉	CARDINAL
ejpam-3485	187	1	1	CARDINAL
ejpam-3485	187	2	2	DATE
ejpam-3485	190	1	c. armada	PERSON
ejpam-3485	190	2	s. canoy jr.	PERSON
ejpam-3485	191	1	j. pure	PERSON
ejpam-3485	191	2	12	CARDINAL
ejpam-3485	191	3	4	CARDINAL
ejpam-3485	191	4	2019	CARDINAL
ejpam-3485	191	5	1779-1786 1784	DATE
ejpam-3485	193	1	∈	ORG
ejpam-3485	193	2	1	CARDINAL
ejpam-3485	193	3	2	DATE
ejpam-3485	195	1	〉	CARDINAL
ejpam-3485	196	1	1	CARDINAL
ejpam-3485	197	1	tx	ORG
ejpam-3485	197	2	6=	CARDINAL
ejpam-3485	200	1	1	CARDINAL
ejpam-3485	200	2	2	DATE
ejpam-3485	204	1	∈	ORG
ejpam-3485	204	2	1	CARDINAL
ejpam-3485	204	3	2	DATE
ejpam-3485	207	1	tx	ORG
ejpam-3485	208	1	tx	ORG
ejpam-3485	209	1	tx	ORG
ejpam-3485	209	2	1	CARDINAL
ejpam-3485	209	3	first	ORDINAL
ejpam-3485	209	4	2	CARDINAL
ejpam-3485	210	1	〉	CARDINAL
ejpam-3485	210	2	w ∈ s	PERSON
ejpam-3485	212	1	c)(w	PRODUCT
ejpam-3485	213	1	g[h	ORG
ejpam-3485	216	1	w ∈ s	PERSON
ejpam-3485	219	1	6=	CARDINAL
ejpam-3485	222	1	uk	GPE
ejpam-3485	222	2	uk	GPE
ejpam-3485	222	3	∈	ORG
ejpam-3485	222	4	1	CARDINAL
ejpam-3485	222	5	2	DATE
ejpam-3485	223	1	k}	PERSON
ejpam-3485	223	2	〉	CARDINAL
ejpam-3485	224	1	1	CARDINAL
ejpam-3485	224	2	2	DATE
ejpam-3485	225	1	k}	PERSON
ejpam-3485	226	1	uk	GPE
ejpam-3485	226	2	1	CARDINAL
ejpam-3485	226	3	2	DATE
ejpam-3485	229	1	〉	CARDINAL
ejpam-3485	230	1	tx	ORG
ejpam-3485	230	2	3.2	CARDINAL
ejpam-3485	232	1	1	CARDINAL
ejpam-3485	233	1	1	CARDINAL
ejpam-3485	233	2	1 2	CARDINAL
ejpam-3485	236	1	1	CARDINAL
ejpam-3485	236	2	g[h	ORG
ejpam-3485	238	1	1	CARDINAL
ejpam-3485	238	2	γ(h	ORG
ejpam-3485	238	3	2	CARDINAL
ejpam-3485	238	4	xy ∈	PERSON
ejpam-3485	239	1	∈	ORG
ejpam-3485	240	1	g[h	ORG
ejpam-3485	240	2	3.1	CARDINAL
ejpam-3485	241	1	2	CARDINAL
ejpam-3485	241	2	3.3	CARDINAL
ejpam-3485	242	1	γ(g	ORG
ejpam-3485	243	1	1	CARDINAL
ejpam-3485	246	1	∈	ORG
ejpam-3485	246	2	tx	ORG
ejpam-3485	246	3	tx	ORG
ejpam-3485	246	4	g[h	ORG
ejpam-3485	246	5	3.1	CARDINAL
ejpam-3485	249	1	3.4	CARDINAL
ejpam-3485	250	1	1	CARDINAL
ejpam-3485	251	1	1	CARDINAL
ejpam-3485	251	2	0	CARDINAL
ejpam-3485	251	3	1	CARDINAL
ejpam-3485	252	1	1785	DATE
ejpam-3485	254	1	3.1	CARDINAL
ejpam-3485	254	2	⊆	CARDINAL
ejpam-3485	254	3	⊆	CARDINAL
ejpam-3485	254	4	tx	ORG
ejpam-3485	254	5	⊆	PRODUCT
ejpam-3485	254	6	g[h	ORG
ejpam-3485	255	1	0	CARDINAL
ejpam-3485	256	1	3.1	CARDINAL
ejpam-3485	257	1	∈	ORG
ejpam-3485	257	2	y ∈ tx	PERSON
ejpam-3485	257	3	tx	ORG
ejpam-3485	257	4	g[h	ORG
ejpam-3485	258	1	3.2	CARDINAL
ejpam-3485	258	2	1	CARDINAL
ejpam-3485	259	1	1	CARDINAL
ejpam-3485	259	2	3.5	CARDINAL
ejpam-3485	260	1	1	CARDINAL
ejpam-3485	261	1	1	CARDINAL
ejpam-3485	263	1	2	CARDINAL
ejpam-3485	264	1	3.2	CARDINAL
ejpam-3485	265	1	2	CARDINAL
ejpam-3485	265	2	∈	ORG
ejpam-3485	266	1	g[h	ORG
ejpam-3485	266	2	3.1	CARDINAL
ejpam-3485	268	1	⊆	CARDINAL
ejpam-3485	270	1	2	CARDINAL
ejpam-3485	271	1	3.6	CARDINAL
ejpam-3485	272	1	γ(g	ORG
ejpam-3485	273	1	1	CARDINAL
ejpam-3485	276	1	g[h	ORG
ejpam-3485	276	2	first	ORDINAL
ejpam-3485	276	3	1	CARDINAL
ejpam-3485	276	4	3.1	CARDINAL
ejpam-3485	276	5	3.3	CARDINAL
ejpam-3485	277	1	= tx	PERSON
ejpam-3485	277	2	∈	ORG
ejpam-3485	277	3	⊆	CARDINAL
ejpam-3485	278	1	tx	ORG
ejpam-3485	279	1	c∗	PERSON
ejpam-3485	279	2	g[h	ORG
ejpam-3485	279	3	c∗ 6= c	ORG
ejpam-3485	282	1	mindanao state university-iligan institute of technology	ORG
ejpam-3485	282	2	philippines	GPE
ejpam-3485	283	1	1	CARDINAL
ejpam-3485	283	2	s. canoy jr.	PERSON
ejpam-3485	283	3	19	CARDINAL
ejpam-3485	283	4	213	CARDINAL
ejpam-3485	283	5	2018	DATE
ejpam-3485	283	6	1786	DATE
ejpam-3485	283	7	2	CARDINAL
ejpam-3485	283	8	g. chartrand	PERSON
ejpam-3485	283	9	h. gavlas	PERSON
ejpam-3485	283	10	k.c. vandell	PERSON
ejpam-3485	283	11	f. harary	PERSON
ejpam-3485	285	1	combin	PERSON
ejpam-3485	286	1	comput	PERSON
ejpam-3485	286	2	25:161-174	CARDINAL
ejpam-3485	286	3	3	CARDINAL
ejpam-3485	286	4	j. john	PERSON
ejpam-3485	286	5	s. kavitha	PERSON
ejpam-3485	286	6	s. robinson chellathurai.	PERSON
ejpam-3485	287	1	20:611?624	CARDINAL
ejpam-3485	287	2	2017	DATE