id	sid	eid	entity	type
ejpam-3763	1	1	european journal	ORG
ejpam-3763	2	1	13	CARDINAL
ejpam-3763	2	2	3, 2020	DATE
ejpam-3763	2	3	529	CARDINAL
ejpam-3763	2	4	new york	GPE
ejpam-3763	2	5	leonard mijares paleta1,∗	ORG
ejpam-3763	4	1	university of southern mindanao	ORG
ejpam-3763	4	2	kabacan 9407	ORG
ejpam-3763	4	3	north cotabato	GPE
ejpam-3763	4	4	philippines 2 department	ORG
ejpam-3763	5	1	mindanao state university-iligan institute of technology	ORG
ejpam-3763	5	2	9200	CARDINAL
ejpam-3763	5	3	iligan city	GPE
ejpam-3763	5	4	philippines	GPE
ejpam-3763	6	1	0	CARDINAL
ejpam-3763	6	2	1	DATE
ejpam-3763	6	3	2	CARDINAL
ejpam-3763	6	4	∈	ORG
ejpam-3763	7	1	0	CARDINAL
ejpam-3763	7	2	one	CARDINAL
ejpam-3763	7	3	∈	ORG
ejpam-3763	8	1	2	CARDINAL
ejpam-3763	8	2	∑ v∈v	PERSON
ejpam-3763	10	1	2020	DATE
ejpam-3763	10	2	05c69,05c76	CARDINAL
ejpam-3763	10	3	1	CARDINAL
ejpam-3763	12	1	⊆	CARDINAL
ejpam-3763	12	2	5	CARDINAL
ejpam-3763	13	1	∈	ORG
ejpam-3763	16	1	∈	ORG
ejpam-3763	17	1	1	CARDINAL
ejpam-3763	17	2	g. vertex v	PERSON
ejpam-3763	18	1	⊆	CARDINAL
ejpam-3763	21	1	leonard.paleta@g.msuiit.edu.ph	PERSON
ejpam-3763	21	2	ferdinand.jamil@g.msuiit.edu.ph	ORG
ejpam-3763	21	3	f. jamil	PERSON
ejpam-3763	22	1	2020	DATE
ejpam-3763	23	1	l. paleta	PERSON
ejpam-3763	23	2	f. jamil	PERSON
ejpam-3763	24	1	j. pure	PERSON
ejpam-3763	24	2	13	CARDINAL
ejpam-3763	24	3	3	CARDINAL
ejpam-3763	24	4	2020	DATE
ejpam-3763	24	5	529-548 530	QUANTITY
ejpam-3763	26	1	∈	ORG
ejpam-3763	27	1	one	CARDINAL
ejpam-3763	27	2	one	CARDINAL
ejpam-3763	27	3	u = u′	ORG
ejpam-3763	27	4	∈ e(h	ORG
ejpam-3763	28	1	∈	ORG
ejpam-3763	28	2	∈	ORG
ejpam-3763	29	1	⊆	CARDINAL
ejpam-3763	30	1	γ(g	NORP
ejpam-3763	31	1	4	CARDINAL
ejpam-3763	31	2	9–11	CARDINAL
ejpam-3763	31	3	13	CARDINAL
ejpam-3763	33	1	1 and ng[v	QUANTITY
ejpam-3763	33	2	dom(g	NORP
ejpam-3763	33	3	γ(g	NORP
ejpam-3763	34	1	one	CARDINAL
ejpam-3763	34	2	∈	ORG
ejpam-3763	35	1	16	CARDINAL
ejpam-3763	40	1	0	CARDINAL
ejpam-3763	40	2	1	DATE
ejpam-3763	40	3	2	CARDINAL
ejpam-3763	40	4	∈	ORG
ejpam-3763	40	5	0	CARDINAL
ejpam-3763	40	6	∈	ORG
ejpam-3763	41	1	2	CARDINAL
ejpam-3763	42	1	∑ v∈v	PERSON
ejpam-3763	43	1	2	CARDINAL
ejpam-3763	43	2	3	DATE
ejpam-3763	43	3	7	DATE
ejpam-3763	43	4	8	DATE
ejpam-3763	43	5	12	DATE
ejpam-3763	43	6	17	DATE
ejpam-3763	43	7	18	CARDINAL
ejpam-3763	44	1	∈	ORG
ejpam-3763	46	1	8	CARDINAL
ejpam-3763	47	1	∈	ORG
ejpam-3763	47	2	one	CARDINAL
ejpam-3763	47	3	∈	ORG
ejpam-3763	48	1	0	CARDINAL
ejpam-3763	48	2	1	CARDINAL
ejpam-3763	48	3	2	CARDINAL
ejpam-3763	48	4	0	CARDINAL
ejpam-3763	48	5	one	CARDINAL
ejpam-3763	48	6	2	CARDINAL
ejpam-3763	49	1	first	ORDINAL
ejpam-3763	49	2	2018	DATE
ejpam-3763	49	3	henning et al	PERSON
ejpam-3763	50	1	15	CARDINAL
ejpam-3763	51	1	14	CARDINAL
ejpam-3763	52	1	1	CARDINAL
ejpam-3763	52	2	19	DATE
ejpam-3763	52	3	20	CARDINAL
ejpam-3763	53	1	l. paleta	PERSON
ejpam-3763	53	2	f. jamil	PERSON
ejpam-3763	54	1	j. pure	PERSON
ejpam-3763	54	2	13	CARDINAL
ejpam-3763	54	3	3	CARDINAL
ejpam-3763	54	4	2020	DATE
ejpam-3763	54	5	529-548 531	QUANTITY
ejpam-3763	57	1	1.1	CARDINAL
ejpam-3763	58	1	4 5n	CARDINAL
ejpam-3763	59	1	14	CARDINAL
ejpam-3763	59	2	4	DATE
ejpam-3763	59	3	19	CARDINAL
ejpam-3763	61	1	19	CARDINAL
ejpam-3763	61	2	3	CARDINAL
ejpam-3763	62	1	2	CARDINAL
ejpam-3763	63	1	2.1	CARDINAL
ejpam-3763	64	1	6= 1	DATE
ejpam-3763	64	2	∈	ORG
ejpam-3763	65	1	1	CARDINAL
ejpam-3763	65	2	∗ 1	DATE
ejpam-3763	66	1	6=	CARDINAL
ejpam-3763	66	2	∈	ORG
ejpam-3763	68	1	2.2	CARDINAL
ejpam-3763	69	1	2γp	ORDINAL
ejpam-3763	72	1	2	CARDINAL
ejpam-3763	73	1	6=	CARDINAL
ejpam-3763	73	2	6=	CARDINAL
ejpam-3763	73	3	2|v2| ≥ 2	DATE
ejpam-3763	73	4	1.1(iii	DATE
ejpam-3763	75	1	⊆	CARDINAL
ejpam-3763	76	1	v2 = s. therefore	PERSON
ejpam-3763	76	2	2γp	ORDINAL
ejpam-3763	77	1	4	CARDINAL
ejpam-3763	77	2	2γp	ORDINAL
ejpam-3763	77	3	5	CARDINAL
ejpam-3763	77	4	2n	CARDINAL
ejpam-3763	77	5	2γp	ORDINAL
ejpam-3763	77	6	3n+	CARDINAL
ejpam-3763	78	1	2.2	CARDINAL
ejpam-3763	78	2	one	CARDINAL
ejpam-3763	78	3	2γp	ORDINAL
ejpam-3763	81	1	2γ	CARDINAL
ejpam-3763	82	1	2.3	CARDINAL
ejpam-3763	83	1	n ≥ 2	ORG
ejpam-3763	85	1	19	CARDINAL
ejpam-3763	85	2	2	CARDINAL
ejpam-3763	86	1	1	CARDINAL
ejpam-3763	86	2	l. paleta	PERSON
ejpam-3763	86	3	f. jamil	PERSON
ejpam-3763	87	1	j. pure	PERSON
ejpam-3763	87	2	13	CARDINAL
ejpam-3763	87	3	3	CARDINAL
ejpam-3763	87	4	2020	DATE
ejpam-3763	87	5	529	CARDINAL
ejpam-3763	87	6	548 532	CARDINAL
ejpam-3763	88	1	2	CARDINAL
ejpam-3763	88	2	19	CARDINAL
ejpam-3763	88	3	3	CARDINAL
ejpam-3763	89	1	2	CARDINAL
ejpam-3763	90	1	2 ≤	QUANTITY
ejpam-3763	91	1	2	CARDINAL
ejpam-3763	91	2	+ 1	DATE
ejpam-3763	91	3	3	CARDINAL
ejpam-3763	93	1	1	CARDINAL
ejpam-3763	93	2	1	CARDINAL
ejpam-3763	93	3	2.2	CARDINAL
ejpam-3763	94	1	2	CARDINAL
ejpam-3763	94	2	2	CARDINAL
ejpam-3763	95	1	2	CARDINAL
ejpam-3763	96	1	1	CARDINAL
ejpam-3763	97	1	6=	CARDINAL
ejpam-3763	99	1	1	CARDINAL
ejpam-3763	101	1	2	CARDINAL
ejpam-3763	102	1	2	CARDINAL
ejpam-3763	102	2	n ≥ 3	DATE
ejpam-3763	102	3	∈	ORG
ejpam-3763	102	4	2	CARDINAL
ejpam-3763	104	1	2	CARDINAL
ejpam-3763	104	2	0	CARDINAL
ejpam-3763	104	3	∈	ORG
ejpam-3763	104	4	1	CARDINAL
ejpam-3763	106	1	(∆(g)− 1	CARDINAL
ejpam-3763	108	1	2	CARDINAL
ejpam-3763	112	1	2	CARDINAL
ejpam-3763	112	2	2.2	CARDINAL
ejpam-3763	112	3	2 ≤ γpr(g	QUANTITY
ejpam-3763	113	1	γ(g	GPE
ejpam-3763	113	2	2	CARDINAL
ejpam-3763	113	3	3	CARDINAL
ejpam-3763	115	1	3	CARDINAL
ejpam-3763	116	1	2	CARDINAL
ejpam-3763	116	2	2	CARDINAL
ejpam-3763	116	3	n ≥ 4	DATE
ejpam-3763	119	1	4	CARDINAL
ejpam-3763	120	1	1	CARDINAL
ejpam-3763	121	1	⊆	CARDINAL
ejpam-3763	121	2	2.1	CARDINAL
ejpam-3763	122	1	2	CARDINAL
ejpam-3763	123	1	2	CARDINAL
ejpam-3763	126	1	first	ORDINAL
ejpam-3763	126	2	2	CARDINAL
ejpam-3763	126	3	γ(g	NORP
ejpam-3763	127	1	2	CARDINAL
ejpam-3763	127	2	2.2	CARDINAL
ejpam-3763	127	3	4	CARDINAL
ejpam-3763	128	1	3	CARDINAL
ejpam-3763	129	1	2	CARDINAL
ejpam-3763	129	2	3	CARDINAL
ejpam-3763	129	3	+ 1	DATE
ejpam-3763	130	1	3	CARDINAL
ejpam-3763	130	2	4	CARDINAL
ejpam-3763	130	3	+ 1	DATE
ejpam-3763	131	1	3	CARDINAL
ejpam-3763	133	1	1	CARDINAL
ejpam-3763	134	1	∈	ORG
ejpam-3763	135	1	f(v	PERSON
ejpam-3763	135	2	2	CARDINAL
ejpam-3763	135	3	f(x	ORG
ejpam-3763	135	4	1	CARDINAL
ejpam-3763	135	5	∈	ORG
ejpam-3763	135	6	f(x	ORG
ejpam-3763	138	1	+ 1	DATE
ejpam-3763	140	1	2.4	CARDINAL
ejpam-3763	141	1	19	CARDINAL
ejpam-3763	143	1	gk	PERSON
ejpam-3763	145	1	2.4	CARDINAL
ejpam-3763	145	2	2.3(ii	CARDINAL
ejpam-3763	146	1	l. paleta	PERSON
ejpam-3763	146	2	f. jamil	PERSON
ejpam-3763	147	1	j. pure	PERSON
ejpam-3763	147	2	13	CARDINAL
ejpam-3763	147	3	3	CARDINAL
ejpam-3763	147	4	2020	DATE
ejpam-3763	147	5	529	CARDINAL
ejpam-3763	147	6	548 533	CARDINAL
ejpam-3763	147	7	2.5	CARDINAL
ejpam-3763	149	1	g = ∪kj=1gj	PERSON
ejpam-3763	149	2	1	CARDINAL
ejpam-3763	149	3	2	DATE
ejpam-3763	150	1	k. corollary 2.6	PERSON
ejpam-3763	153	1	g = kn	PERSON
ejpam-3763	153	2	g = kn	PERSON
ejpam-3763	153	3	γ(g	NORP
ejpam-3763	153	4	2.5	CARDINAL
ejpam-3763	154	1	γ(g	NORP
ejpam-3763	154	2	6=	CARDINAL
ejpam-3763	154	3	γ(g	GPE
ejpam-3763	156	1	g = kn	PERSON
ejpam-3763	156	2	2.1	CARDINAL
ejpam-3763	157	1	2.3(i	CARDINAL
ejpam-3763	157	2	2	CARDINAL
ejpam-3763	159	1	2.7	CARDINAL
ejpam-3763	161	1	∈	ORG
ejpam-3763	161	2	one	CARDINAL
ejpam-3763	161	3	⊆	CARDINAL
ejpam-3763	161	4	⊆	CARDINAL
ejpam-3763	161	5	∩	PERSON
ejpam-3763	161	6	6=	CARDINAL
ejpam-3763	161	7	⊆	CARDINAL
ejpam-3763	162	1	v2 ⊆	PERSON
ejpam-3763	162	2	one	CARDINAL
ejpam-3763	162	3	⊆	CARDINAL
ejpam-3763	162	4	⊆	CARDINAL
ejpam-3763	162	5	∩	PERSON
ejpam-3763	162	6	6=	CARDINAL
ejpam-3763	162	7	⊆	CARDINAL
ejpam-3763	163	1	6=	CARDINAL
ejpam-3763	163	2	6=	CARDINAL
ejpam-3763	163	3	∩	PERSON
ejpam-3763	163	4	6=	CARDINAL
ejpam-3763	163	5	1	CARDINAL
ejpam-3763	164	1	∩	PERSON
ejpam-3763	164	2	6=	CARDINAL
ejpam-3763	164	3	|a1| = 1	PRODUCT
ejpam-3763	165	1	three	CARDINAL
ejpam-3763	165	2	1	CARDINAL
ejpam-3763	165	3	v2 ⊆	PRODUCT
ejpam-3763	166	1	⊆	CARDINAL
ejpam-3763	166	2	⊆	CARDINAL
ejpam-3763	166	3	∩	PERSON
ejpam-3763	166	4	6=	CARDINAL
ejpam-3763	166	5	1	CARDINAL
ejpam-3763	167	1	∩	PERSON
ejpam-3763	167	2	⊆	CARDINAL
ejpam-3763	168	1	2	CARDINAL
ejpam-3763	168	2	v2 ⊆	PRODUCT
ejpam-3763	169	1	3	CARDINAL
ejpam-3763	169	2	a1 = v2 ∩	PERSON
ejpam-3763	170	1	v0∩v	PERSON
ejpam-3763	170	2	6=	CARDINAL
ejpam-3763	171	1	⊆	PRODUCT
ejpam-3763	171	2	1	CARDINAL
ejpam-3763	175	1	w ∈	PERSON
ejpam-3763	175	2	∈	PRODUCT
ejpam-3763	176	1	⊆	CARDINAL
ejpam-3763	176	2	f. jamil	PERSON
ejpam-3763	177	1	j. pure	PERSON
ejpam-3763	177	2	13	CARDINAL
ejpam-3763	177	3	3	CARDINAL
ejpam-3763	177	4	2020	DATE
ejpam-3763	177	5	529	CARDINAL
ejpam-3763	177	6	548 534	CARDINAL
ejpam-3763	177	7	∈	ORG
ejpam-3763	178	1	∈	ORG
ejpam-3763	180	1	w ∈	PERSON
ejpam-3763	180	2	w ∈	PERSON
ejpam-3763	181	1	+ h	GPE
ejpam-3763	185	1	∈	ORG
ejpam-3763	186	1	∈	ORG
ejpam-3763	187	1	∈	ORG
ejpam-3763	188	1	2.7	CARDINAL
ejpam-3763	188	2	19	CARDINAL
ejpam-3763	189	1	2.8	CARDINAL
ejpam-3763	190	1	19	CARDINAL
ejpam-3763	190	2	gand	GPE
ejpam-3763	194	1	∈	ORG
ejpam-3763	195	1	g+h	PRODUCT
ejpam-3763	195	2	f(x	ORG
ejpam-3763	197	1	2	CARDINAL
ejpam-3763	197	2	0	CARDINAL
ejpam-3763	197	3	∈	ORG
ejpam-3763	197	4	1	CARDINAL
ejpam-3763	198	1	2.7	CARDINAL
ejpam-3763	199	1	2	CARDINAL
ejpam-3763	201	1	∈	ORG
ejpam-3763	201	2	∈	ORG
ejpam-3763	201	3	δ(h	PERSON
ejpam-3763	201	4	g+h	PRODUCT
ejpam-3763	201	5	f(x	ORG
ejpam-3763	203	1	2	CARDINAL
ejpam-3763	203	2	1	CARDINAL
ejpam-3763	203	3	∈	ORG
ejpam-3763	203	4	0	CARDINAL
ejpam-3763	204	1	2.7	CARDINAL
ejpam-3763	204	2	+ h	GPE
ejpam-3763	205	1	4	CARDINAL
ejpam-3763	205	2	4 + δ(g	DATE
ejpam-3763	208	1	2.3(ii	CARDINAL
ejpam-3763	208	2	4	CARDINAL
ejpam-3763	208	3	a1 = v2 ∩	PERSON
ejpam-3763	208	4	6=	CARDINAL
ejpam-3763	208	5	two	CARDINAL
ejpam-3763	208	6	l. paleta	PERSON
ejpam-3763	208	7	f. jamil	PERSON
ejpam-3763	209	1	j. pure	PERSON
ejpam-3763	209	2	13	CARDINAL
ejpam-3763	209	3	3	CARDINAL
ejpam-3763	209	4	2020	DATE
ejpam-3763	209	5	529	CARDINAL
ejpam-3763	209	6	548 535	CARDINAL
ejpam-3763	209	7	1	CARDINAL
ejpam-3763	209	8	2.7(i)(a	CARDINAL
ejpam-3763	209	9	ωg+h(f	ORG
ejpam-3763	211	1	2.7(i)(b	CARDINAL
ejpam-3763	211	2	ωg+h(f	ORG
ejpam-3763	211	3	2 +	DATE
ejpam-3763	212	1	2	CARDINAL
ejpam-3763	212	2	6=	CARDINAL
ejpam-3763	212	3	|a1| ≥ 2	LOC
ejpam-3763	212	4	2	CARDINAL
ejpam-3763	213	1	1	CARDINAL
ejpam-3763	213	2	two	CARDINAL
ejpam-3763	214	1	first	ORDINAL
ejpam-3763	214	2	|a1| ≥ 2	DATE
ejpam-3763	214	3	⊆	CARDINAL
ejpam-3763	214	4	2.1	CARDINAL
ejpam-3763	214	5	⊆	CARDINAL
ejpam-3763	215	1	ωg+h(f	ORG
ejpam-3763	215	2	1	CARDINAL
ejpam-3763	216	1	5	CARDINAL
ejpam-3763	217	1	|a1| = 1	PRODUCT
ejpam-3763	218	1	∈	ORG
ejpam-3763	219	1	2.1	CARDINAL
ejpam-3763	219	2	f(x	ORG
ejpam-3763	221	1	∪nh	WORK_OF_ART
ejpam-3763	223	1	ωg+h(f	ORG
ejpam-3763	223	2	2|a1	CARDINAL
ejpam-3763	223	3	∪nh(v)|	CARDINAL
ejpam-3763	223	4	4 + δ(g	DATE
ejpam-3763	225	1	1	CARDINAL
ejpam-3763	225	2	n ≤ 6	PRODUCT
ejpam-3763	225	3	6	DATE
ejpam-3763	226	1	γpr(cm +	DATE
ejpam-3763	226	2	1	CARDINAL
ejpam-3763	226	3	n ≤ 7	ORG
ejpam-3763	226	4	7	DATE
ejpam-3763	226	5	n ≥ 8	DATE
ejpam-3763	226	6	2.2	CARDINAL
ejpam-3763	228	1	6	CARDINAL
ejpam-3763	230	1	〉	CARDINAL
ejpam-3763	232	1	2.9	CARDINAL
ejpam-3763	237	1	1	CARDINAL
ejpam-3763	241	1	∗ 1	DATE
ejpam-3763	241	2	f∗(z	ORG
ejpam-3763	242	1	1	CARDINAL
ejpam-3763	242	2	∈	ORG
ejpam-3763	242	3	0	CARDINAL
ejpam-3763	242	4	∈	PRODUCT
ejpam-3763	242	5	l. paleta	PERSON
ejpam-3763	242	6	f. jamil	PERSON
ejpam-3763	243	1	j. pure	PERSON
ejpam-3763	243	2	13	CARDINAL
ejpam-3763	243	3	3	CARDINAL
ejpam-3763	243	4	2020	DATE
ejpam-3763	243	5	529-548 536	CARDINAL
ejpam-3763	243	6	∈	ORG
ejpam-3763	243	7	∈	ORG
ejpam-3763	248	1	∈	ORG
ejpam-3763	248	2	∈ v2 ∩	PRODUCT
ejpam-3763	249	1	{xu	PERSON
ejpam-3763	250	1	∗ 1	DATE
ejpam-3763	250	2	f∗(z	ORG
ejpam-3763	251	1	1	CARDINAL
ejpam-3763	251	2	xu	PERSON
ejpam-3763	251	3	0	CARDINAL
ejpam-3763	251	4	∈ v2 ∩	PRODUCT
ejpam-3763	252	1	∈	ORG
ejpam-3763	252	2	\a	ORG
ejpam-3763	252	3	{xu	PERSON
ejpam-3763	252	4	∈ v2 ∩	PERSON
ejpam-3763	252	5	{xu	PERSON
ejpam-3763	254	1	2	CARDINAL
ejpam-3763	254	2	∈	ORG
ejpam-3763	255	1	∈	ORG
ejpam-3763	262	1	∩	PERSON
ejpam-3763	262	2	∈	ORG
ejpam-3763	262	3	∩	PERSON
ejpam-3763	262	4	∈	ORG
ejpam-3763	262	5	∈	ORG
ejpam-3763	263	1	ωg(f∗|g	CARDINAL
ejpam-3763	264	1	2.9	CARDINAL
ejpam-3763	264	2	n ≥ 2	ORG
ejpam-3763	267	1	1	CARDINAL
ejpam-3763	269	1	l. paleta	PERSON
ejpam-3763	269	2	f. jamil	PERSON
ejpam-3763	270	1	j. pure	PERSON
ejpam-3763	270	2	13	CARDINAL
ejpam-3763	270	3	3	CARDINAL
ejpam-3763	270	4	2020	DATE
ejpam-3763	270	5	529	CARDINAL
ejpam-3763	270	6	548 537	CARDINAL
ejpam-3763	270	7	2.10	CARDINAL
ejpam-3763	272	1	∈	ORG
ejpam-3763	273	1	u satisfying v0∩v	ORG
ejpam-3763	273	2	⊆	CARDINAL
ejpam-3763	275	1	1	CARDINAL
ejpam-3763	275	2	⊆	CARDINAL
ejpam-3763	275	3	∈	ORG
ejpam-3763	275	4	∈ v2 ∩	PRODUCT
ejpam-3763	275	5	6=	CARDINAL
ejpam-3763	278	1	∈	PRODUCT
ejpam-3763	281	1	∩	PERSON
ejpam-3763	281	2	⊆	CARDINAL
ejpam-3763	282	1	v2 ∩	PERSON
ejpam-3763	282	2	6=	CARDINAL
ejpam-3763	282	3	1	CARDINAL
ejpam-3763	282	4	w ∈	ORG
ejpam-3763	284	1	⊆	CARDINAL
ejpam-3763	288	1	∈	PRODUCT
ejpam-3763	289	1	|hv	ORG
ejpam-3763	292	1	w ∈	PERSON
ejpam-3763	292	2	hv+v	NORP
ejpam-3763	293	1	v2∩(v	PERSON
ejpam-3763	295	1	v2 ∩ ng◦h(w	PRODUCT
ejpam-3763	297	1	w ∈	PERSON
ejpam-3763	298	1	three	CARDINAL
ejpam-3763	298	2	1	CARDINAL
ejpam-3763	298	3	∈	ORG
ejpam-3763	299	1	w ∈	PERSON
ejpam-3763	300	1	∈	ORG
ejpam-3763	300	2	v2 ∩	PERSON
ejpam-3763	300	3	∩	PERSON
ejpam-3763	300	4	⊆	CARDINAL
ejpam-3763	303	1	2	CARDINAL
ejpam-3763	303	2	∈	ORG
ejpam-3763	304	1	∈ v2 ∩	PERSON
ejpam-3763	304	2	⊆	CARDINAL
ejpam-3763	307	1	3	CARDINAL
ejpam-3763	307	2	∈	PRODUCT
ejpam-3763	308	1	w ∈	PERSON
ejpam-3763	308	2	w /∈ nhv(v2 ∩	PERSON
ejpam-3763	312	1	2.11	CARDINAL
ejpam-3763	314	1	2n	CARDINAL
ejpam-3763	315	1	2.7	CARDINAL
ejpam-3763	315	2	f(x	ORG
ejpam-3763	315	3	2	CARDINAL
ejpam-3763	315	4	∈	ORG
ejpam-3763	315	5	f(x	ORG
ejpam-3763	318	1	ong◦h.	ORG
ejpam-3763	320	1	∈	ORG
ejpam-3763	321	1	∈ v2	PRODUCT
ejpam-3763	322	1	2	CARDINAL
ejpam-3763	323	1	∈	PRODUCT
ejpam-3763	323	2	2.10(i	CARDINAL
ejpam-3763	323	3	l. paleta	PERSON
ejpam-3763	323	4	f. jamil	PERSON
ejpam-3763	324	1	j. pure	PERSON
ejpam-3763	324	2	13	CARDINAL
ejpam-3763	324	3	3	CARDINAL
ejpam-3763	324	4	2020	DATE
ejpam-3763	324	5	529	CARDINAL
ejpam-3763	324	6	548 538	CARDINAL
ejpam-3763	324	7	2	CARDINAL
ejpam-3763	325	1	2.10(ii),∑	FAC
ejpam-3763	326	1	2	CARDINAL
ejpam-3763	328	1	∑ v∈v	PERSON
ejpam-3763	329	1	2n	CARDINAL
ejpam-3763	330	1	2.3	CARDINAL
ejpam-3763	334	1	∈	ORG
ejpam-3763	334	2	∈	PRODUCT
ejpam-3763	336	1	w ∈	PERSON
ejpam-3763	336	2	v2 ∩ ngg(u	PRODUCT
ejpam-3763	337	1	w = u	PERSON
ejpam-3763	337	2	∈	ORG
ejpam-3763	338	1	w ∈	PERSON
ejpam-3763	340	1	2.12	CARDINAL
ejpam-3763	342	1	∈	ORG
ejpam-3763	342	2	∈ prd(g	ORG
ejpam-3763	342	3	∈ prd(g	ORG
ejpam-3763	343	1	2.13	CARDINAL
ejpam-3763	346	1	2	CARDINAL
ejpam-3763	346	2	1	CARDINAL
ejpam-3763	346	3	3	CARDINAL
ejpam-3763	347	1	1	CARDINAL
ejpam-3763	348	1	kj ∈	ORG
ejpam-3763	349	1	2.6	CARDINAL
ejpam-3763	351	1	2	CARDINAL
ejpam-3763	351	2	2	CARDINAL
ejpam-3763	352	1	2.12	CARDINAL
ejpam-3763	352	2	∈ prd(g	ORG
ejpam-3763	353	1	1	CARDINAL
ejpam-3763	354	1	2	CARDINAL
ejpam-3763	354	2	2	CARDINAL
ejpam-3763	357	1	3	CARDINAL
ejpam-3763	358	1	3	CARDINAL
ejpam-3763	359	1	2	CARDINAL
ejpam-3763	360	1	2n	CARDINAL
ejpam-3763	361	1	2	CARDINAL
ejpam-3763	361	2	∈	ORG
ejpam-3763	362	1	ngg(v	ORG
ejpam-3763	363	1	3 ≤	QUANTITY
ejpam-3763	363	2	1	CARDINAL
ejpam-3763	364	1	n ≤ 2	PRODUCT
ejpam-3763	366	1	1	CARDINAL
ejpam-3763	366	2	2.2	CARDINAL
ejpam-3763	367	1	first	ORDINAL
ejpam-3763	369	1	ωgg(f	CARDINAL
ejpam-3763	369	2	1	CARDINAL
ejpam-3763	369	3	6=	CARDINAL
ejpam-3763	369	4	two	CARDINAL
ejpam-3763	369	5	l. paleta	PERSON
ejpam-3763	369	6	f. jamil	PERSON
ejpam-3763	370	1	j. pure	PERSON
ejpam-3763	370	2	13	CARDINAL
ejpam-3763	370	3	3	CARDINAL
ejpam-3763	370	4	2020	DATE
ejpam-3763	370	5	529	CARDINAL
ejpam-3763	370	6	548 539	CARDINAL
ejpam-3763	370	7	1	CARDINAL
ejpam-3763	370	8	v2 ∩	PERSON
ejpam-3763	370	9	⊆	CARDINAL
ejpam-3763	370	10	1	CARDINAL
ejpam-3763	370	11	6=	CARDINAL
ejpam-3763	370	12	ωgg(f	CARDINAL
ejpam-3763	371	1	1	CARDINAL
ejpam-3763	371	2	2	CARDINAL
ejpam-3763	371	3	v2 ∩	PERSON
ejpam-3763	371	4	6=	CARDINAL
ejpam-3763	371	5	two	CARDINAL
ejpam-3763	371	6	2.1	CARDINAL
ejpam-3763	371	7	⊆	CARDINAL
ejpam-3763	372	1	w ∈	PERSON
ejpam-3763	373	1	w ∈	ORG
ejpam-3763	374	1	∩ v2	PERSON
ejpam-3763	375	1	wv	GPE
ejpam-3763	375	2	6=	CARDINAL
ejpam-3763	375	3	∈	ORG
ejpam-3763	375	4	∩ v2	PERSON
ejpam-3763	376	1	1	CARDINAL
ejpam-3763	377	1	ωgg(f	CARDINAL
ejpam-3763	377	2	2 + ∑	DATE
ejpam-3763	377	3	2 +	CARDINAL
ejpam-3763	377	4	1	CARDINAL
ejpam-3763	377	5	1	CARDINAL
ejpam-3763	377	6	2.2	CARDINAL
ejpam-3763	377	7	v2 ∩dom(g	GPE
ejpam-3763	377	8	∈	ORG
ejpam-3763	378	1	w ∈	PERSON
ejpam-3763	379	1	1	CARDINAL
ejpam-3763	379	2	v2 ∩	PERSON
ejpam-3763	379	3	6=	CARDINAL
ejpam-3763	379	4	6=	CARDINAL
ejpam-3763	379	5	two	CARDINAL
ejpam-3763	379	6	2.2.1	CARDINAL
ejpam-3763	379	7	∈	ORG
ejpam-3763	380	1	2	CARDINAL
ejpam-3763	380	2	2	CARDINAL
ejpam-3763	380	3	∈	ORG
ejpam-3763	381	1	ωgg(f	CARDINAL
ejpam-3763	382	1	1	CARDINAL
ejpam-3763	382	2	v2 ∩	PERSON
ejpam-3763	383	1	wu ∈	PERSON
ejpam-3763	385	1	∈	ORG
ejpam-3763	385	2	∩ v2	PERSON
ejpam-3763	388	1	4	CARDINAL
ejpam-3763	388	2	w	GPE
ejpam-3763	388	3	4 +	DATE
ejpam-3763	388	4	4	CARDINAL
ejpam-3763	388	5	1	CARDINAL
ejpam-3763	390	1	∈	PRODUCT
ejpam-3763	390	2	zb ∈	ORG
ejpam-3763	390	3	∈	ORG
ejpam-3763	391	1	f(b	GPE
ejpam-3763	391	2	1	CARDINAL
ejpam-3763	391	3	6=	CARDINAL
ejpam-3763	395	1	f(b	GPE
ejpam-3763	395	2	f(b	GPE
ejpam-3763	395	3	6	CARDINAL
ejpam-3763	395	4	z	ORG
ejpam-3763	396	1	6	CARDINAL
ejpam-3763	396	2	1	CARDINAL
ejpam-3763	396	3	2.2.2	CARDINAL
ejpam-3763	396	4	∈	ORG
ejpam-3763	397	1	∈	ORG
ejpam-3763	397	2	∈	PRODUCT
ejpam-3763	398	1	∈ v2 ∩	PRODUCT
ejpam-3763	398	2	two	CARDINAL
ejpam-3763	399	1	ωgg(f	CARDINAL
ejpam-3763	399	2	3 ≤ |a| ≤ 4	QUANTITY
ejpam-3763	401	1	l. paleta	PERSON
ejpam-3763	401	2	f. jamil	PERSON
ejpam-3763	402	1	j. pure	PERSON
ejpam-3763	402	2	13	CARDINAL
ejpam-3763	402	3	3	CARDINAL
ejpam-3763	402	4	2020	DATE
ejpam-3763	402	5	529-548 540	QUANTITY
ejpam-3763	403	1	∈ v2 ∩	PRODUCT
ejpam-3763	403	2	∈	PRODUCT
ejpam-3763	403	3	ac	ORG
ejpam-3763	403	4	wc ∈	PERSON
ejpam-3763	403	5	⊆	CARDINAL
ejpam-3763	403	6	⊆	CARDINAL
ejpam-3763	405	1	1	CARDINAL
ejpam-3763	405	2	w	ORG
ejpam-3763	407	1	7	CARDINAL
ejpam-3763	407	2	1	CARDINAL
ejpam-3763	409	1	∈ v2 ∩	PRODUCT
ejpam-3763	409	2	∈	PRODUCT
ejpam-3763	409	3	ac	ORG
ejpam-3763	409	4	⊆	CARDINAL
ejpam-3763	409	5	⊆	CARDINAL
ejpam-3763	409	6	⊆	CARDINAL
ejpam-3763	410	1	ab	GPE
ejpam-3763	410	2	cb ∈	ORG
ejpam-3763	411	1	1	CARDINAL
ejpam-3763	412	1	8 +	DATE
ejpam-3763	412	2	1	CARDINAL
ejpam-3763	413	1	ωgg(f	CARDINAL
ejpam-3763	414	1	1	CARDINAL
ejpam-3763	415	1	kj ∈	ORG
ejpam-3763	416	1	v2 ∩	PERSON
ejpam-3763	416	2	6=	CARDINAL
ejpam-3763	416	3	ωgg(f	CARDINAL
ejpam-3763	417	1	∈	ORG
ejpam-3763	420	1	w ∈	PERSON
ejpam-3763	422	1	1	CARDINAL
ejpam-3763	422	2	xy ∈	PERSON
ejpam-3763	422	3	∈	ORG
ejpam-3763	422	4	∈	PRODUCT
ejpam-3763	424	1	2	CARDINAL
ejpam-3763	425	1	∈	ORG
ejpam-3763	425	2	v2 ∩	PERSON
ejpam-3763	426	1	∑ x∈iso(g	PERSON
ejpam-3763	430	1	1	CARDINAL
ejpam-3763	432	1	1	CARDINAL
ejpam-3763	432	2	f(v	PERSON
ejpam-3763	436	1	1	CARDINAL
ejpam-3763	436	2	1	CARDINAL
ejpam-3763	436	3	f. jamil	PERSON
ejpam-3763	437	1	j. pure	PERSON
ejpam-3763	437	2	13	CARDINAL
ejpam-3763	437	3	3	CARDINAL
ejpam-3763	437	4	2020	DATE
ejpam-3763	437	5	529	CARDINAL
ejpam-3763	437	6	548 541	CARDINAL
ejpam-3763	437	7	1	CARDINAL
ejpam-3763	437	8	2.13(iv	CARDINAL
ejpam-3763	437	9	6	CARDINAL
ejpam-3763	491	1	1	CARDINAL
ejpam-3763	492	1	1	CARDINAL
ejpam-3763	492	2	1	CARDINAL
ejpam-3763	492	3	g = kn	PERSON
ejpam-3763	493	1	2.13(iv	CARDINAL
ejpam-3763	493	2	2.5	CARDINAL
ejpam-3763	493	3	1 + max{γpr(g	DATE
ejpam-3763	494	1	∈	ORG
ejpam-3763	497	1	two	CARDINAL
ejpam-3763	497	2	graph g. theorem	PERSON
ejpam-3763	497	3	2.14	CARDINAL
ejpam-3763	498	1	1 + max{γpr(g	DATE
ejpam-3763	502	1	f(v	PERSON
ejpam-3763	504	1	∈	PRODUCT
ejpam-3763	504	2	1	CARDINAL
ejpam-3763	504	3	∈	ORG
ejpam-3763	508	1	2.13(iv	CARDINAL
ejpam-3763	508	2	wlog	PERSON
ejpam-3763	510	1	⊆	CARDINAL
ejpam-3763	512	1	1	CARDINAL
ejpam-3763	512	2	2.5	CARDINAL
ejpam-3763	512	3	2.3(ii	CARDINAL
ejpam-3763	514	1	6=	CARDINAL
ejpam-3763	514	2	v2 ∩	PERSON
ejpam-3763	514	3	∩	PERSON
ejpam-3763	515	1	6=	CARDINAL
ejpam-3763	515	2	+ 1 ≥ γpr(g	DATE
ejpam-3763	516	1	+ 1	DATE
ejpam-3763	516	2	v2 ∩	PERSON
ejpam-3763	516	3	6=	CARDINAL
ejpam-3763	516	4	∈	PRODUCT
ejpam-3763	516	5	v2 ∩ ngg(v	ORG
ejpam-3763	517	1	∗ 1	DATE
ejpam-3763	518	1	∈	ORG
ejpam-3763	518	2	1	CARDINAL
ejpam-3763	518	3	a. l. paleta	PERSON
ejpam-3763	518	4	f. jamil	PERSON
ejpam-3763	519	1	j. pure	PERSON
ejpam-3763	519	2	13	CARDINAL
ejpam-3763	519	3	3	CARDINAL
ejpam-3763	519	4	2020	DATE
ejpam-3763	519	5	529-548 542	QUANTITY
ejpam-3763	519	6	\a)∩v	PERSON
ejpam-3763	520	1	⊆	CARDINAL
ejpam-3763	520	2	v2 ∩	PRODUCT
ejpam-3763	520	3	+ 1 ≥ γpr(g	DATE
ejpam-3763	520	4	+ 1	DATE
ejpam-3763	520	5	g = c5	PERSON
ejpam-3763	520	6	7	CARDINAL
ejpam-3763	521	1	4	CARDINAL
ejpam-3763	521	2	8	CARDINAL
ejpam-3763	521	3	1 + max{γpr(g	DATE
ejpam-3763	522	1	2.14	CARDINAL
ejpam-3763	523	1	2.4	CARDINAL
ejpam-3763	525	1	0	CARDINAL
ejpam-3763	525	2	1	DATE
ejpam-3763	525	3	2	CARDINAL
ejpam-3763	525	4	∈	ORG
ejpam-3763	528	1	2.15	CARDINAL
ejpam-3763	529	1	g∈prd(g	PERSON
ejpam-3763	536	1	f(x	ORG
ejpam-3763	537	1	∈	ORG
ejpam-3763	537	2	huv(x	GPE
ejpam-3763	537	3	∈	ORG
ejpam-3763	537	4	∈	ORG
ejpam-3763	537	5	0	CARDINAL
ejpam-3763	537	6	∈	ORG
ejpam-3763	537	7	∈	ORG
ejpam-3763	537	8	1	CARDINAL
ejpam-3763	537	9	∈	ORG
ejpam-3763	538	1	l. paleta	PERSON
ejpam-3763	538	2	f. jamil	PERSON
ejpam-3763	539	1	j. pure	PERSON
ejpam-3763	539	2	13	CARDINAL
ejpam-3763	539	3	3	CARDINAL
ejpam-3763	539	4	2020	DATE
ejpam-3763	539	5	529-548 543	CARDINAL
ejpam-3763	540	1	first	ORDINAL
ejpam-3763	540	2	∩	PERSON
ejpam-3763	540	3	v2 ∩	PERSON
ejpam-3763	541	1	∈	ORG
ejpam-3763	541	2	∈	ORG
ejpam-3763	543	1	∈ prd(g	ORG
ejpam-3763	543	2	1	CARDINAL
ejpam-3763	543	3	v2 ∩ ng(x	PRODUCT
ejpam-3763	544	1	∈	ORG
ejpam-3763	545	1	∈	ORG
ejpam-3763	547	1	v2 ∩	PERSON
ejpam-3763	548	1	v2 ∩	PRODUCT
ejpam-3763	550	1	v2 ∩ ng�h(x	PERSON
ejpam-3763	552	1	∈	ORG
ejpam-3763	555	1	f(x	ORG
ejpam-3763	556	1	0	CARDINAL
ejpam-3763	557	1	∈	ORG
ejpam-3763	557	2	huv(x	GPE
ejpam-3763	557	3	one	CARDINAL
ejpam-3763	557	4	xy ∈	ORG
ejpam-3763	557	5	2	CARDINAL
ejpam-3763	557	6	v2 ∩ ng�h(x	PERSON
ejpam-3763	558	1	∈	ORG
ejpam-3763	559	1	⊆	CARDINAL
ejpam-3763	566	1	2	CARDINAL
ejpam-3763	566	2	0	CARDINAL
ejpam-3763	566	3	2	CARDINAL
ejpam-3763	567	1	2	CARDINAL
ejpam-3763	567	2	1 and	CARDINAL
ejpam-3763	569	1	5	CARDINAL
ejpam-3763	573	1	........	PERSON
ejpam-3763	576	1	........	PERSON
ejpam-3763	579	1	........	PERSON
ejpam-3763	582	1	........	PERSON
ejpam-3763	584	1	g x y z	PERSON
ejpam-3763	584	2	........	PERSON
ejpam-3763	584	3	........	PERSON
ejpam-3763	586	1	........	PERSON
ejpam-3763	589	1	........	PERSON
ejpam-3763	623	1	..........	PERSON
ejpam-3763	631	1	2	CARDINAL
ejpam-3763	632	1	5	CARDINAL
ejpam-3763	633	1	5	CARDINAL
ejpam-3763	633	2	2.15	CARDINAL
ejpam-3763	633	3	two	CARDINAL
ejpam-3763	633	4	3	CARDINAL
ejpam-3763	634	1	x3	GPE
ejpam-3763	634	2	x4	GPE
ejpam-3763	635	1	x5}	GPE
ejpam-3763	635	2	x5}	GPE
ejpam-3763	636	1	γpr(p5	PERSON
ejpam-3763	636	2	5	CARDINAL
ejpam-3763	636	3	2.15	CARDINAL
ejpam-3763	636	4	2.15	CARDINAL
ejpam-3763	636	5	∈ prd(g	ORG
ejpam-3763	636	6	f. jamil	PERSON
ejpam-3763	637	1	j. pure	PERSON
ejpam-3763	637	2	13	CARDINAL
ejpam-3763	637	3	3	CARDINAL
ejpam-3763	637	4	2020	DATE
ejpam-3763	637	5	529	CARDINAL
ejpam-3763	637	6	548 544	CARDINAL
ejpam-3763	748	1	2 20	CARDINAL
ejpam-3763	854	1	x3 x4	PERSON
ejpam-3763	854	2	3	CARDINAL
ejpam-3763	854	3	c4 e00(g;g	PERSON
ejpam-3763	856	1	2.16	CARDINAL
ejpam-3763	857	1	m.	PERSON
ejpam-3763	857	2	2	CARDINAL
ejpam-3763	858	1	3bn−22	CARDINAL
ejpam-3763	858	2	2	CARDINAL
ejpam-3763	858	3	3	CARDINAL
ejpam-3763	858	4	3	CARDINAL
ejpam-3763	858	5	3k	CARDINAL
ejpam-3763	858	6	3k	CARDINAL
ejpam-3763	858	7	2k + 1	DATE
ejpam-3763	858	8	3	CARDINAL
ejpam-3763	858	9	2 ≤ n ≤ k	QUANTITY
ejpam-3763	859	1	2n+	CARDINAL
ejpam-3763	859	2	2.17	CARDINAL
ejpam-3763	861	1	g∈prd(g	PERSON
ejpam-3763	864	1	∈ prd(g	ORG
ejpam-3763	865	1	2.15	CARDINAL
ejpam-3763	867	1	k1(g	PERSON
ejpam-3763	867	2	∈	ORG
ejpam-3763	867	3	∈	ORG
ejpam-3763	868	1	∈	ORG
ejpam-3763	868	2	v2∩ng	ORG
ejpam-3763	869	1	1	CARDINAL
ejpam-3763	870	1	1 0	DATE
ejpam-3763	870	2	1 1	CARDINAL
ejpam-3763	870	3	1 2	CARDINAL
ejpam-3763	870	4	1	CARDINAL
ejpam-3763	872	1	∈	ORG
ejpam-3763	873	1	2	CARDINAL
ejpam-3763	873	2	∈	ORG
ejpam-3763	874	1	1 0	DATE
ejpam-3763	874	2	1 1	CARDINAL
ejpam-3763	874	3	1 2	CARDINAL
ejpam-3763	874	4	2, f1(xuv	DATE
ejpam-3763	875	1	∈	ORG
ejpam-3763	875	2	6=	CARDINAL
ejpam-3763	875	3	f. jamil	PERSON
ejpam-3763	876	1	j. pure	PERSON
ejpam-3763	876	2	13	CARDINAL
ejpam-3763	876	3	3	CARDINAL
ejpam-3763	876	4	2020	DATE
ejpam-3763	876	5	529	CARDINAL
ejpam-3763	876	6	548 545	CARDINAL
ejpam-3763	876	7	∈	PRODUCT
ejpam-3763	877	1	1 0	DATE
ejpam-3763	877	2	1 1	CARDINAL
ejpam-3763	877	3	1 2	CARDINAL
ejpam-3763	877	4	2	CARDINAL
ejpam-3763	877	5	0	CARDINAL
ejpam-3763	877	6	1	CARDINAL
ejpam-3763	877	7	∈	ORG
ejpam-3763	877	8	f(x	ORG
ejpam-3763	877	9	∈	ORG
ejpam-3763	879	1	∈	ORG
ejpam-3763	879	2	1	CARDINAL
ejpam-3763	879	3	1 1	CARDINAL
ejpam-3763	879	4	1 2	CARDINAL
ejpam-3763	880	1	∈	ORG
ejpam-3763	881	1	/∈ prd(g	ORG
ejpam-3763	881	2	∈	ORG
ejpam-3763	883	1	k1(g	PERSON
ejpam-3763	885	1	k1(g	PERSON
ejpam-3763	885	2	2.17	CARDINAL
ejpam-3763	885	3	∈ prd(g	ORG
ejpam-3763	886	1	n ≥ 1	DATE
ejpam-3763	886	2	3	CARDINAL
ejpam-3763	886	3	1 3	DATE
ejpam-3763	887	1	3 e+ γpr(cm	DATE
ejpam-3763	888	1	2.5	CARDINAL
ejpam-3763	889	1	⊆	CARDINAL
ejpam-3763	890	1	2.18	CARDINAL
ejpam-3763	892	1	1	CARDINAL
ejpam-3763	893	1	1	CARDINAL
ejpam-3763	893	2	|v1|+ |v2 ∩ng(v2)|	GPE
ejpam-3763	895	1	∈	ORG
ejpam-3763	897	1	6=	CARDINAL
ejpam-3763	897	2	∗ 1	DATE
ejpam-3763	897	3	2	CARDINAL
ejpam-3763	899	1	0	CARDINAL
ejpam-3763	899	2	∈ v2 \ng(v2	MONEY
ejpam-3763	899	3	6=	CARDINAL
ejpam-3763	899	4	∈	PRODUCT
ejpam-3763	899	5	1	CARDINAL
ejpam-3763	899	6	6=	CARDINAL
ejpam-3763	899	7	∈	PRODUCT
ejpam-3763	899	8	2	CARDINAL
ejpam-3763	899	9	∈	PRODUCT
ejpam-3763	902	1	∈	PRODUCT
ejpam-3763	902	2	ng[h]((x	ORG
ejpam-3763	903	1	∈	PRODUCT
ejpam-3763	904	1	∩ v2 = {	PERSON
ejpam-3763	904	2	ng[h]((x	ORG
ejpam-3763	905	1	g ∈	PERSON
ejpam-3763	906	1	n−1	ORG
ejpam-3763	906	2	∩ng(v2)|)+ωg(f	GPE
ejpam-3763	908	1	f. jamil	PERSON
ejpam-3763	909	1	j. pure	PERSON
ejpam-3763	909	2	13	CARDINAL
ejpam-3763	909	3	3	CARDINAL
ejpam-3763	909	4	2020	DATE
ejpam-3763	909	5	529	CARDINAL
ejpam-3763	909	6	548 546	CARDINAL
ejpam-3763	909	7	2.19	CARDINAL
ejpam-3763	910	1	2	CARDINAL
ejpam-3763	911	1	1	CARDINAL
ejpam-3763	911	2	|v1|+ |v2 ∩ng(v2)|	GPE
ejpam-3763	915	1	6=	CARDINAL
ejpam-3763	915	2	6=	CARDINAL
ejpam-3763	915	3	first	ORDINAL
ejpam-3763	915	4	6=	CARDINAL
ejpam-3763	917	1	6=	CARDINAL
ejpam-3763	918	1	6=	CARDINAL
ejpam-3763	919	1	2.1	CARDINAL
ejpam-3763	919	2	y)(a	DATE
ejpam-3763	920	1	6=	CARDINAL
ejpam-3763	920	2	z)(a	DATE
ejpam-3763	922	1	kp	ORG
ejpam-3763	923	1	∈	ORG
ejpam-3763	924	1	6=	CARDINAL
ejpam-3763	925	1	\a	WORK_OF_ART
ejpam-3763	928	1	1	CARDINAL
ejpam-3763	928	2	\a	ORG
ejpam-3763	929	1	u	NORP
ejpam-3763	930	1	∈	ORG
ejpam-3763	930	2	u	NORP
ejpam-3763	931	1	∈	ORG
ejpam-3763	932	1	2	CARDINAL
ejpam-3763	932	2	kp	ORG
ejpam-3763	933	1	y)(x	PERSON
ejpam-3763	933	2	∩ v2	PERSON
ejpam-3763	935	1	w	GPE
ejpam-3763	936	1	∈	ORG
ejpam-3763	936	2	kp	ORG
ejpam-3763	938	1	∩a	GPE
ejpam-3763	940	1	∗ 1	DATE
ejpam-3763	940	2	2	CARDINAL
ejpam-3763	943	1	1	CARDINAL
ejpam-3763	943	2	2	CARDINAL
ejpam-3763	945	1	2	CARDINAL
ejpam-3763	945	2	∈	ORG
ejpam-3763	945	3	1	CARDINAL
ejpam-3763	945	4	∈	ORG
ejpam-3763	945	5	0	CARDINAL
ejpam-3763	946	1	∈	ORG
ejpam-3763	946	2	0	CARDINAL
ejpam-3763	947	1	kp	ORG
ejpam-3763	948	1	kp	ORG
ejpam-3763	950	1	∈	ORG
ejpam-3763	952	1	∈	ORG
ejpam-3763	953	1	∈	ORG
ejpam-3763	953	2	2	CARDINAL
ejpam-3763	953	3	xu ∈	PERSON
ejpam-3763	954	1	∈	ORG
ejpam-3763	954	2	kp	ORG
ejpam-3763	955	1	∈	ORG
ejpam-3763	955	2	547	CARDINAL
ejpam-3763	955	3	kp	ORG
ejpam-3763	956	1	kp	ORG
ejpam-3763	957	1	1)|v	CARDINAL
ejpam-3763	957	2	2	CARDINAL
ejpam-3763	957	3	2	CARDINAL
ejpam-3763	960	1	∗1	PERSON
ejpam-3763	960	2	1)|v	CARDINAL
ejpam-3763	960	3	2	CARDINAL
ejpam-3763	960	4	2	CARDINAL
ejpam-3763	961	1	2	CARDINAL
ejpam-3763	961	2	1	CARDINAL
ejpam-3763	961	3	2	CARDINAL
ejpam-3763	961	4	2	CARDINAL
ejpam-3763	963	1	2.18	CARDINAL
ejpam-3763	963	2	2.18	CARDINAL
ejpam-3763	964	1	4	CARDINAL
ejpam-3763	964	2	2	CARDINAL
ejpam-3763	964	3	0	DATE
ejpam-3763	964	4	2	DATE
ejpam-3763	965	1	7	CARDINAL
ejpam-3763	1156	1	•	CARDINAL
ejpam-3763	1156	2	4	CARDINAL
ejpam-3763	1157	1	7	CARDINAL
ejpam-3763	1158	1	7	CARDINAL
ejpam-3763	1160	1	philippines	GPE
ejpam-3763	1160	2	k-12	PERSON
ejpam-3763	1160	3	university of southern mindanao research	ORG
ejpam-3763	1161	1	1	CARDINAL
ejpam-3763	1162	1	m. chellali	PERSON
ejpam-3763	1162	2	s.m.	GPE
ejpam-3763	1164	1	comput	PERSON
ejpam-3763	1164	2	364(124617	CARDINAL
ejpam-3763	1164	3	2020	DATE
ejpam-3763	1165	1	2	CARDINAL
ejpam-3763	1165	2	a. alhashim	PERSON
ejpam-3763	1166	1	w. desormeaux	PERSON
ejpam-3763	1168	1	australian	NORP
ejpam-3763	1168	2	combinatorics	ORG
ejpam-3763	1168	3	68(2):218–228	CARDINAL
ejpam-3763	1168	4	2017	DATE
ejpam-3763	1169	1	3	CARDINAL
ejpam-3763	1169	2	j. arquilla	PERSON
ejpam-3763	1169	3	h. fredricksen	PERSON
ejpam-3763	1171	1	1:3–19, 1995	DATE
ejpam-3763	1172	1	4	CARDINAL
ejpam-3763	1174	1	wiley	ORG
ejpam-3763	1174	2	new york	GPE
ejpam-3763	1174	3	1962	DATE
ejpam-3763	1175	1	548	CARDINAL
ejpam-3763	1175	2	5	CARDINAL
ejpam-3763	1175	3	f. buckley	PERSON
ejpam-3763	1175	4	f. harary	PERSON
ejpam-3763	1177	1	addison-wesley	ORG
ejpam-3763	1177	2	redwood city	GPE
ejpam-3763	1177	3	1990	DATE
ejpam-3763	1178	1	6	CARDINAL
ejpam-3763	1178	2	s. canoy	PERSON
ejpam-3763	1179	1	r. mollejon	PERSON
ejpam-3763	1179	2	canoy.	PERSON
ejpam-3763	1181	1	european journal	ORG
ejpam-3763	1181	2	12(4):1455–1463,	DATE
ejpam-3763	1181	3	2019	DATE
ejpam-3763	1182	1	7	CARDINAL
ejpam-3763	1185	1	2:24–31, 2012	DATE
ejpam-3763	1186	1	8	CARDINAL
ejpam-3763	1186	2	e. cockayne	PERSON
ejpam-3763	1187	1	p. dreyer	PERSON
ejpam-3763	1188	1	s.m.	GPE
ejpam-3763	1188	2	hedetniemi	PERSON
ejpam-3763	1188	3	s.t.	PERSON
ejpam-3763	1190	1	278:11–22, 2004	DATE
ejpam-3763	1191	1	9	CARDINAL
ejpam-3763	1191	2	e. cockayne	PERSON
ejpam-3763	1191	3	s. hedetniemi	PERSON
ejpam-3763	1193	1	7(3):1977, 1977	DATE
ejpam-3763	1194	1	10	CARDINAL
ejpam-3763	1194	2	d. day	GPE
ejpam-3763	1194	3	d. erwin	PERSON
ejpam-3763	1194	4	s. mukwembi	PERSON
ejpam-3763	1194	5	h. swart	PERSON
ejpam-3763	1196	1	309:5877–5883,	DATE
ejpam-3763	1196	2	2009	DATE
ejpam-3763	1197	1	11	CARDINAL
ejpam-3763	1197	2	w. desormeaux	PERSON
ejpam-3763	1198	1	t.w	PERSON
ejpam-3763	1198	2	haynes	ORG
ejpam-3763	1198	3	m.a. henning	ORG
ejpam-3763	1199	1	extremal	GPE
ejpam-3763	1200	1	159:1048–1052, 2011	DATE
ejpam-3763	1201	1	12	CARDINAL
ejpam-3763	1201	2	o. favaron.	PERSON
ejpam-3763	1201	3	h. karami	PERSON
ejpam-3763	1201	4	r. khoeilar	PERSON
ejpam-3763	1201	5	s.m.	GPE
ejpam-3763	1202	1	309:3447–3451, 2009	DATE
ejpam-3763	1203	1	13	CARDINAL
ejpam-3763	1203	2	s.t.	PERSON
ejpam-3763	1203	3	hedetniemi	PERSON
ejpam-3763	1203	4	slater	PERSON
ejpam-3763	1205	1	marcel dekker	PERSON
ejpam-3763	1205	2	inc.	ORG
ejpam-3763	1205	3	new york	GPE
ejpam-3763	1205	4	1998	DATE
ejpam-3763	1206	1	14	CARDINAL
ejpam-3763	1206	2	m. henning	PERSON
ejpam-3763	1207	1	w. klostermeyer	PERSON
ejpam-3763	1207	2	g. macgillivray	PERSON
ejpam-3763	1209	1	236:235–245	DATE
ejpam-3763	1209	2	2018	DATE
ejpam-3763	1210	1	15	CARDINAL
ejpam-3763	1210	2	m. henning	PERSON
ejpam-3763	1210	3	w. klostermeyer	PERSON
ejpam-3763	1212	1	12(1):143–152	DATE
ejpam-3763	1212	2	2018	DATE
ejpam-3763	1213	1	16	CARDINAL
ejpam-3763	1213	2	j. lee	PERSON
ejpam-3763	1214	1	162:259–263,	DATE
ejpam-3763	1214	2	2014	DATE
ejpam-3763	1215	1	17	CARDINAL
ejpam-3763	1215	2	revelle	PERSON
ejpam-3763	1215	3	k.e.	GPE
ejpam-3763	1217	1	defendens imperium romanum	PERSON
ejpam-3763	1218	1	amer	PERSON
ejpam-3763	1219	1	monthly	DATE
ejpam-3763	1219	2	107(7):585–594, 2000	DATE
ejpam-3763	1220	1	18	CARDINAL
ejpam-3763	1220	2	i. stewart	PERSON
ejpam-3763	1222	1	sci	ORG
ejpam-3763	1222	2	amer	PERSON
ejpam-3763	1222	3	281(6):136–139, 1999	DATE
ejpam-3763	1223	1	19	CARDINAL
ejpam-3763	1223	2	j. yue	PERSON
ejpam-3763	1223	3	j. song	PERSON
ejpam-3763	1225	1	2020	DATE
ejpam-3763	1226	1	20	CARDINAL
ejpam-3763	1226	2	j. yue	PERSON
ejpam-3763	1226	3	m. wei	PERSON
ejpam-3763	1226	4	m. li	PERSON
ejpam-3763	1226	5	g. liu	PERSON
ejpam-3763	1228	1	338:669–675	DATE
ejpam-3763	1228	2	2018	DATE