id	sid	eid	entity	type
ejpam-5252	1	1	european journal	ORG
ejpam-5252	1	2	2025	DATE
ejpam-5252	1	3	18	CARDINAL
ejpam-5252	1	4	1	CARDINAL
ejpam-5252	1	5	5252	CARDINAL
ejpam-5252	1	6	1307-5543	CARDINAL
ejpam-5252	1	7	new york	GPE
ejpam-5252	1	8	sherihatha r. ahamad1,2,∗	PERSON
ejpam-5252	1	9	jerry boy g. cariaga1,2	PERSON
ejpam-5252	1	10	sheila m. menchavez1,2	PERSON
ejpam-5252	1	11	1	CARDINAL
ejpam-5252	1	12	msu-iligan institute of technology	ORG
ejpam-5252	1	13	9200	CARDINAL
ejpam-5252	1	14	iligan city	GPE
ejpam-5252	1	15	2	CARDINAL
ejpam-5252	1	16	msu-iligan institute of technology	ORG
ejpam-5252	1	17	9200	CARDINAL
ejpam-5252	1	18	iligan city	GPE
ejpam-5252	1	19	philippines	GPE
ejpam-5252	3	1	0	CARDINAL
ejpam-5252	3	2	1	DATE
ejpam-5252	3	3	2	DATE
ejpam-5252	3	4	3	CARDINAL
ejpam-5252	3	5	0	CARDINAL
ejpam-5252	3	6	2	CARDINAL
ejpam-5252	3	7	3	CARDINAL
ejpam-5252	3	8	1	CARDINAL
ejpam-5252	3	9	∈	PERSON
ejpam-5252	4	1	2 or	CARDINAL
ejpam-5252	4	2	3	CARDINAL
ejpam-5252	5	1	∑ v∈v	PERSON
ejpam-5252	7	1	2020	DATE
ejpam-5252	7	2	05c69	CARDINAL
ejpam-5252	8	1	1	CARDINAL
ejpam-5252	8	2	2004	DATE
ejpam-5252	9	1	6	CARDINAL
ejpam-5252	10	1	revelle	PERSON
ejpam-5252	10	2	13	CARDINAL
ejpam-5252	11	1	15	CARDINAL
ejpam-5252	12	1	10],[8],[1],[4],[3],[12],[9],[7],[14],[11	CARDINAL
ejpam-5252	13	1	8	CARDINAL
ejpam-5252	14	1	1	CARDINAL
ejpam-5252	14	2	11	DATE
ejpam-5252	14	3	14	CARDINAL
ejpam-5252	15	1	0	CARDINAL
ejpam-5252	15	2	1	DATE
ejpam-5252	15	3	2	DATE
ejpam-5252	15	4	3	CARDINAL
ejpam-5252	16	1	0	CARDINAL
ejpam-5252	16	2	2	CARDINAL
ejpam-5252	17	1	3	CARDINAL
ejpam-5252	17	2	1	CARDINAL
ejpam-5252	17	3	∈	PERSON
ejpam-5252	17	4	2	CARDINAL
ejpam-5252	18	1	3	CARDINAL
ejpam-5252	19	1	s. ahamad	PERSON
ejpam-5252	19	2	jerryboy.cariaga@g.msuiit.edu.ph	GPE
ejpam-5252	19	3	j. cariaga	PERSON
ejpam-5252	19	4	sheila.menchavez@g.msuiit.edu.ph	GPE
ejpam-5252	19	5	s. menchavez	ORG
ejpam-5252	20	1	1	CARDINAL
ejpam-5252	20	2	2025	CARDINAL
ejpam-5252	21	1	s. ahamad	PERSON
ejpam-5252	21	2	j. cariaga	PERSON
ejpam-5252	21	3	s. menchavez / eur	ORG
ejpam-5252	22	1	j. pure	PERSON
ejpam-5252	22	2	18	CARDINAL
ejpam-5252	22	3	1	CARDINAL
ejpam-5252	22	4	2025	CARDINAL
ejpam-5252	22	5	5252 2	CARDINAL
ejpam-5252	22	6	18	CARDINAL
ejpam-5252	24	1	four	CARDINAL
ejpam-5252	24	2	0	CARDINAL
ejpam-5252	24	3	1	DATE
ejpam-5252	24	4	2	DATE
ejpam-5252	24	5	3	CARDINAL
ejpam-5252	28	1	1	CARDINAL
ejpam-5252	31	1	2.	CARDINAL
ejpam-5252	31	2	⊆	CARDINAL
ejpam-5252	31	3	2	CARDINAL
ejpam-5252	33	1	⊆	CARDINAL
ejpam-5252	34	1	⋃	PERSON
ejpam-5252	36	1	⊆	CARDINAL
ejpam-5252	38	1	⋃	PERSON
ejpam-5252	40	1	kn	PERSON
ejpam-5252	41	1	⊆	CARDINAL
ejpam-5252	43	1	∈	PERSON
ejpam-5252	43	2	∈	ORG
ejpam-5252	44	1	γ(g	NORP
ejpam-5252	44	2	5	CARDINAL
ejpam-5252	45	1	integer k	PERSON
ejpam-5252	45	2	⊆	CARDINAL
ejpam-5252	45	3	\d	ORG
ejpam-5252	45	4	0	CARDINAL
ejpam-5252	45	5	1	DATE
ejpam-5252	45	6	2	CARDINAL
ejpam-5252	45	7	∈	ORG
ejpam-5252	46	1	0	CARDINAL
ejpam-5252	46	2	at least one	CARDINAL
ejpam-5252	47	1	2	CARDINAL
ejpam-5252	48	1	3	CARDINAL
ejpam-5252	49	1	s. ahamad	PERSON
ejpam-5252	49	2	j. cariaga	PERSON
ejpam-5252	49	3	s. menchavez / eur	ORG
ejpam-5252	50	1	j. pure	PERSON
ejpam-5252	50	2	18	CARDINAL
ejpam-5252	50	3	1	CARDINAL
ejpam-5252	50	4	2025	CARDINAL
ejpam-5252	50	5	5252 3	CARDINAL
ejpam-5252	51	1	0	CARDINAL
ejpam-5252	51	2	1	DATE
ejpam-5252	51	3	2	DATE
ejpam-5252	51	4	3	CARDINAL
ejpam-5252	51	5	1	CARDINAL
ejpam-5252	52	1	0 at least one	CARDINAL
ejpam-5252	52	2	two	CARDINAL
ejpam-5252	52	3	w	ORG
ejpam-5252	53	1	2	CARDINAL
ejpam-5252	53	2	3	CARDINAL
ejpam-5252	53	3	2	CARDINAL
ejpam-5252	53	4	1	CARDINAL
ejpam-5252	53	5	2	CARDINAL
ejpam-5252	54	1	3	CARDINAL
ejpam-5252	54	2	γdr(g	NORP
ejpam-5252	54	3	∑ v∈v	PERSON
ejpam-5252	55	1	f ∈ drd(g	PRODUCT
ejpam-5252	55	2	γdr(g	NORP
ejpam-5252	55	3	3	CARDINAL
ejpam-5252	56	1	0	CARDINAL
ejpam-5252	56	2	1	DATE
ejpam-5252	56	3	2	DATE
ejpam-5252	56	4	3	CARDINAL
ejpam-5252	56	5	0	CARDINAL
ejpam-5252	56	6	2	CARDINAL
ejpam-5252	57	1	3	CARDINAL
ejpam-5252	57	2	1	CARDINAL
ejpam-5252	58	1	∈	PERSON
ejpam-5252	58	2	2	CARDINAL
ejpam-5252	59	1	3	CARDINAL
ejpam-5252	60	1	∑ v∈v	PERSON
ejpam-5252	60	2	8	CARDINAL
ejpam-5252	61	1	0	CARDINAL
ejpam-5252	61	2	1	DATE
ejpam-5252	61	3	2	DATE
ejpam-5252	61	4	3	CARDINAL
ejpam-5252	61	5	vi = {	PERSON
ejpam-5252	61	6	∈	ORG
ejpam-5252	62	1	0	CARDINAL
ejpam-5252	62	2	1	DATE
ejpam-5252	62	3	2	DATE
ejpam-5252	62	4	3	CARDINAL
ejpam-5252	65	1	1	CARDINAL
ejpam-5252	66	1	1	CARDINAL
ejpam-5252	67	1	0	CARDINAL
ejpam-5252	67	2	1	DATE
ejpam-5252	67	3	2	DATE
ejpam-5252	67	4	3	CARDINAL
ejpam-5252	67	5	f(v	PERSON
ejpam-5252	67	6	3	CARDINAL
ejpam-5252	67	7	5	CARDINAL
ejpam-5252	68	1	s. ahamad	PERSON
ejpam-5252	68	2	j. cariaga	PERSON
ejpam-5252	68	3	s. menchavez / eur	ORG
ejpam-5252	69	1	j. pure	PERSON
ejpam-5252	69	2	18	CARDINAL
ejpam-5252	69	3	1	CARDINAL
ejpam-5252	69	4	2025	CARDINAL
ejpam-5252	69	5	5252	CARDINAL
ejpam-5252	69	6	4	CARDINAL
ejpam-5252	69	7	18	CARDINAL
ejpam-5252	70	1	0e	CARDINAL
ejpam-5252	70	2	1	CARDINAL
ejpam-5252	70	3	7	CARDINAL
ejpam-5252	71	1	5	CARDINAL
ejpam-5252	71	2	3	CARDINAL
ejpam-5252	71	3	8	CARDINAL
ejpam-5252	73	1	n ≥ 4	DATE
ejpam-5252	73	2	5 ≤ γmr(g	QUANTITY
ejpam-5252	74	1	two	CARDINAL
ejpam-5252	74	2	5	CARDINAL
ejpam-5252	76	1	2	CARDINAL
ejpam-5252	77	1	2	CARDINAL
ejpam-5252	77	2	2	CARDINAL
ejpam-5252	78	1	n ≥ 1	DATE
ejpam-5252	78	2	3	CARDINAL
ejpam-5252	78	3	3	CARDINAL
ejpam-5252	79	1	5	CARDINAL
ejpam-5252	79	2	4	CARDINAL
ejpam-5252	80	1	2	CARDINAL
ejpam-5252	80	2	3	DATE
ejpam-5252	80	3	4	DATE
ejpam-5252	80	4	5	CARDINAL
ejpam-5252	80	5	gn 3	ORG
ejpam-5252	80	6	3	CARDINAL
ejpam-5252	80	7	bipartite	NORP
ejpam-5252	80	8	graph s. ahamad	PERSON
ejpam-5252	80	9	j. cariaga	PERSON
ejpam-5252	80	10	s. menchavez / eur	ORG
ejpam-5252	81	1	j. pure	PERSON
ejpam-5252	81	2	18	CARDINAL
ejpam-5252	81	3	1	CARDINAL
ejpam-5252	81	4	2025	CARDINAL
ejpam-5252	81	5	5252 5	CARDINAL
ejpam-5252	81	6	18 km	QUANTITY
ejpam-5252	81	7	sn	ORG
ejpam-5252	82	1	mrdf	PERSON
ejpam-5252	82	2	1	CARDINAL
ejpam-5252	86	1	v2	PRODUCT
ejpam-5252	88	1	2	CARDINAL
ejpam-5252	88	2	⟨v2 ∪	ORG
ejpam-5252	92	1	v2 ∪	GPE
ejpam-5252	92	2	2	CARDINAL
ejpam-5252	92	3	′ 3	DATE
ejpam-5252	94	1	3	CARDINAL
ejpam-5252	94	2	2	CARDINAL
ejpam-5252	94	3	= s.	PERSON
ejpam-5252	94	4	∗ 2 ⊆	CARDINAL
ejpam-5252	94	5	∗ 2	DATE
ejpam-5252	94	6	2	CARDINAL
ejpam-5252	94	7	∗ 2	DATE
ejpam-5252	95	1	3	CARDINAL
ejpam-5252	96	1	2	CARDINAL
ejpam-5252	96	2	′ 3	CARDINAL
ejpam-5252	103	1	2	CARDINAL
ejpam-5252	104	1	1	CARDINAL
ejpam-5252	104	2	∩ ng(v3	PERSON
ejpam-5252	106	1	⟨v2 ∪	ORG
ejpam-5252	107	1	2|v2|+	CARDINAL
ejpam-5252	107	2	2|v2	CARDINAL
ejpam-5252	107	3	|v3| ≥ 2γ2(g	PERSON
ejpam-5252	110	1	2	CARDINAL
ejpam-5252	111	1	3	CARDINAL
ejpam-5252	113	1	4	CARDINAL
ejpam-5252	114	1	5	CARDINAL
ejpam-5252	114	2	4	CARDINAL
ejpam-5252	115	1	1 or γ2(g	CARDINAL
ejpam-5252	115	2	2	CARDINAL
ejpam-5252	117	1	2	CARDINAL
ejpam-5252	117	2	1(iv	CARDINAL
ejpam-5252	119	1	3	CARDINAL
ejpam-5252	119	2	2	CARDINAL
ejpam-5252	119	3	1(iv	CARDINAL
ejpam-5252	119	4	3	CARDINAL
ejpam-5252	119	5	1	CARDINAL
ejpam-5252	119	6	1	CARDINAL
ejpam-5252	119	7	2	CARDINAL
ejpam-5252	121	1	s. ahamad	PERSON
ejpam-5252	121	2	j. cariaga	PERSON
ejpam-5252	121	3	s. menchavez / eur	ORG
ejpam-5252	122	1	j. pure	PERSON
ejpam-5252	122	2	18	CARDINAL
ejpam-5252	122	3	1	CARDINAL
ejpam-5252	122	4	2025	CARDINAL
ejpam-5252	122	5	5252 6	CARDINAL
ejpam-5252	122	6	18 ωmr	QUANTITY
ejpam-5252	123	1	3	CARDINAL
ejpam-5252	123	2	2	CARDINAL
ejpam-5252	124	1	3	CARDINAL
ejpam-5252	125	1	4	CARDINAL
ejpam-5252	125	2	1 ≤ |v2| ≤ 2	QUANTITY
ejpam-5252	125	3	1(iv	CARDINAL
ejpam-5252	126	1	only two	CARDINAL
ejpam-5252	126	2	1	CARDINAL
ejpam-5252	126	3	2	CARDINAL
ejpam-5252	127	1	2	CARDINAL
ejpam-5252	127	2	0	CARDINAL
ejpam-5252	129	1	1	CARDINAL
ejpam-5252	129	2	2	CARDINAL
ejpam-5252	132	1	2	CARDINAL
ejpam-5252	132	2	3	CARDINAL
ejpam-5252	132	3	5	CARDINAL
ejpam-5252	132	4	|v3| ≤ 1	FAC
ejpam-5252	135	1	only two	CARDINAL
ejpam-5252	135	2	1 and |v2| ≤ 2	CARDINAL
ejpam-5252	136	1	2	CARDINAL
ejpam-5252	136	2	1	CARDINAL
ejpam-5252	136	3	3	CARDINAL
ejpam-5252	137	1	1	CARDINAL
ejpam-5252	137	2	3	CARDINAL
ejpam-5252	137	3	v2	PRODUCT
ejpam-5252	137	4	4	CARDINAL
ejpam-5252	138	1	1	CARDINAL
ejpam-5252	138	2	1	CARDINAL
ejpam-5252	139	1	2	CARDINAL
ejpam-5252	139	2	3	CARDINAL
ejpam-5252	141	1	1	CARDINAL
ejpam-5252	141	2	0	CARDINAL
ejpam-5252	142	1	v2 ∪	GPE
ejpam-5252	142	2	2	CARDINAL
ejpam-5252	142	3	2	CARDINAL
ejpam-5252	142	4	v2 ∪	GPE
ejpam-5252	142	5	4	CARDINAL
ejpam-5252	142	6	2	CARDINAL
ejpam-5252	142	7	4	CARDINAL
ejpam-5252	143	1	1	CARDINAL
ejpam-5252	144	1	5	CARDINAL
ejpam-5252	146	1	5	CARDINAL
ejpam-5252	148	1	5	CARDINAL
ejpam-5252	149	1	2	CARDINAL
ejpam-5252	151	1	3	CARDINAL
ejpam-5252	151	2	2	CARDINAL
ejpam-5252	151	3	0	CARDINAL
ejpam-5252	151	4	∈	ORG
ejpam-5252	151	5	\d	ORG
ejpam-5252	152	1	5	CARDINAL
ejpam-5252	152	2	5	CARDINAL
ejpam-5252	153	1	5	CARDINAL
ejpam-5252	153	2	1	CARDINAL
ejpam-5252	154	1	4	CARDINAL
ejpam-5252	154	2	5	CARDINAL
ejpam-5252	156	1	5	CARDINAL
ejpam-5252	157	1	2	CARDINAL
ejpam-5252	158	1	6	CARDINAL
ejpam-5252	159	1	5	CARDINAL
ejpam-5252	162	1	y},∅	PERSON
ejpam-5252	165	1	kn	PERSON
ejpam-5252	165	2	1	CARDINAL
ejpam-5252	168	1	+ 1 ≥ 5	DATE
ejpam-5252	169	1	s. ahamad	PERSON
ejpam-5252	169	2	j. cariaga	PERSON
ejpam-5252	169	3	s. menchavez / eur	ORG
ejpam-5252	170	1	j. pure	PERSON
ejpam-5252	170	2	18	CARDINAL
ejpam-5252	170	3	1	CARDINAL
ejpam-5252	170	4	2025	CARDINAL
ejpam-5252	170	5	5252	CARDINAL
ejpam-5252	170	6	7	CARDINAL
ejpam-5252	170	7	18	CARDINAL
ejpam-5252	170	8	1 and |v3| ≥ 1	TIME
ejpam-5252	173	1	2|v2|+3|v3| ≥ 5	DATE
ejpam-5252	175	1	5	CARDINAL
ejpam-5252	177	1	g1	ORG
ejpam-5252	177	2	gn	PERSON
ejpam-5252	181	1	g1	ORG
ejpam-5252	181	2	gn	PERSON
ejpam-5252	181	3	f2	ORG
ejpam-5252	181	4	g1	ORG
ejpam-5252	182	1	gn	PERSON
ejpam-5252	182	2	0	CARDINAL
ejpam-5252	182	3	1	DATE
ejpam-5252	182	4	2	DATE
ejpam-5252	182	5	3	CARDINAL
ejpam-5252	182	6	f(x	ORG
ejpam-5252	182	7	∈	ORG
ejpam-5252	182	8	g1	ORG
ejpam-5252	183	1	∈	ORG
ejpam-5252	184	1	∈	ORG
ejpam-5252	188	1	f |gi	PRODUCT
ejpam-5252	188	2	1	CARDINAL
ejpam-5252	188	3	2	DATE
ejpam-5252	189	1	1	CARDINAL
ejpam-5252	189	2	2	DATE
ejpam-5252	189	3	n. hence	PERSON
ejpam-5252	191	1	2	CARDINAL
ejpam-5252	192	1	2n	CARDINAL
ejpam-5252	193	1	g = kn	PERSON
ejpam-5252	194	1	two	CARDINAL
ejpam-5252	194	2	2	CARDINAL
ejpam-5252	195	1	1 1 1 1	QUANTITY
ejpam-5252	195	2	2 2	CARDINAL
ejpam-5252	195	3	2	CARDINAL
ejpam-5252	195	4	2	CARDINAL
ejpam-5252	195	5	8 and γmr(b5	DATE
ejpam-5252	195	6	10	CARDINAL
ejpam-5252	196	1	8	CARDINAL
ejpam-5252	197	1	n ≥ 3	DATE
ejpam-5252	197	2	8	CARDINAL
ejpam-5252	197	3	3	CARDINAL
ejpam-5252	197	4	10	CARDINAL
ejpam-5252	197	5	s. ahamad	PERSON
ejpam-5252	197	6	j. cariaga	PERSON
ejpam-5252	197	7	s. menchavez / eur	ORG
ejpam-5252	198	1	j. pure	PERSON
ejpam-5252	198	2	18	CARDINAL
ejpam-5252	198	3	1	CARDINAL
ejpam-5252	198	4	2025	CARDINAL
ejpam-5252	198	5	5252 8	CARDINAL
ejpam-5252	198	6	18	CARDINAL
ejpam-5252	199	1	∈	ORG
ejpam-5252	199	2	two	CARDINAL
ejpam-5252	199	3	kn	PERSON
ejpam-5252	200	1	3	CARDINAL
ejpam-5252	200	2	f(x	ORG
ejpam-5252	201	1	2	CARDINAL
ejpam-5252	202	1	1	CARDINAL
ejpam-5252	203	1	b3	GPE
ejpam-5252	207	1	2	CARDINAL
ejpam-5252	207	2	′ 3	DATE
ejpam-5252	208	1	0	CARDINAL
ejpam-5252	209	1	3	CARDINAL
ejpam-5252	210	1	2	CARDINAL
ejpam-5252	210	2	′ 1	TIME
ejpam-5252	213	1	8	CARDINAL
ejpam-5252	215	1	2 | ≥	TIME
ejpam-5252	215	2	2	CARDINAL
ejpam-5252	215	3	′ 3 | ≥ 1	TIME
ejpam-5252	216	1	8	CARDINAL
ejpam-5252	217	1	8	CARDINAL
ejpam-5252	218	1	n ≥ 4	DATE
ejpam-5252	218	2	∈	ORG
ejpam-5252	219	1	f(x	ORG
ejpam-5252	222	1	3	CARDINAL
ejpam-5252	223	1	2	CARDINAL
ejpam-5252	224	1	n ≥ 4	DATE
ejpam-5252	226	1	w0,w1,w2,w3	ORG
ejpam-5252	227	1	w3 =	GPE
ejpam-5252	227	2	2	CARDINAL
ejpam-5252	228	1	10	CARDINAL
ejpam-5252	229	1	2 and |w3|	TIME
ejpam-5252	229	2	2	CARDINAL
ejpam-5252	230	1	2|w2|	CARDINAL
ejpam-5252	230	2	10	CARDINAL
ejpam-5252	231	1	10	CARDINAL
ejpam-5252	232	1	k ≥ 2 and n ≥ 2	ORG
ejpam-5252	233	1	n(k − 1	PERSON
ejpam-5252	233	2	1 2nk(k	QUANTITY
ejpam-5252	233	3	1	CARDINAL
ejpam-5252	234	1	3	CARDINAL
ejpam-5252	234	2	dutch	NORP
ejpam-5252	234	3	3	CARDINAL
ejpam-5252	234	4	+ nk2	DATE
ejpam-5252	234	5	2	CARDINAL
ejpam-5252	234	6	3	CARDINAL
ejpam-5252	234	7	+2k2	DATE
ejpam-5252	235	1	3	CARDINAL
ejpam-5252	235	2	4	DATE
ejpam-5252	235	3	5	CARDINAL
ejpam-5252	235	4	2	CARDINAL
ejpam-5252	235	5	3	CARDINAL
ejpam-5252	235	6	3	CARDINAL
ejpam-5252	236	1	3 22	CARDINAL
ejpam-5252	236	2	0	CARDINAL
ejpam-5252	236	3	3	CARDINAL
ejpam-5252	236	4	2	CARDINAL
ejpam-5252	236	5	γmr(wd(4	NORP
ejpam-5252	236	6	2	CARDINAL
ejpam-5252	237	1	s. ahamad	PERSON
ejpam-5252	237	2	j. cariaga	PERSON
ejpam-5252	237	3	s. menchavez / eur	ORG
ejpam-5252	238	1	j. pure	PERSON
ejpam-5252	238	2	18	CARDINAL
ejpam-5252	238	3	1	CARDINAL
ejpam-5252	238	4	2025	CARDINAL
ejpam-5252	238	5	5252 9	CARDINAL
ejpam-5252	238	6	4	CARDINAL
ejpam-5252	238	7	3	CARDINAL
ejpam-5252	238	8	10	CARDINAL
ejpam-5252	238	9	2 1 11 1	TIME
ejpam-5252	238	10	5	CARDINAL
ejpam-5252	238	11	3	CARDINAL
ejpam-5252	238	12	6	CARDINAL
ejpam-5252	238	13	9	CARDINAL
ejpam-5252	239	1	k ≥ 4 and n ≥ 2	ORG
ejpam-5252	241	1	2n+ 3	DATE
ejpam-5252	242	1	k ≥ 4 and n ≥ 2.	ORG
ejpam-5252	242	2	kk−1	ORG
ejpam-5252	242	3	f(x	ORG
ejpam-5252	244	1	3	CARDINAL
ejpam-5252	244	2	2	CARDINAL
ejpam-5252	248	1	w0,w1,w2,w3	ORG
ejpam-5252	248	2	w3 =	GPE
ejpam-5252	248	3	1	CARDINAL
ejpam-5252	249	1	2n+3	CARDINAL
ejpam-5252	250	1	2 and |w3|	TIME
ejpam-5252	250	2	1	CARDINAL
ejpam-5252	253	1	2|w2|+ 3|w3| ≥ 2n+ 3	DATE
ejpam-5252	256	1	2n+ 3	CARDINAL
ejpam-5252	256	2	10	CARDINAL
ejpam-5252	257	1	2n+ 2	DATE
ejpam-5252	258	1	+ nk2	DATE
ejpam-5252	258	2	n ≥ 2	ORG
ejpam-5252	260	1	1 ≤	QUANTITY
ejpam-5252	260	2	2n	CARDINAL
ejpam-5252	263	1	w0,w1,w2,w3	ORG
ejpam-5252	264	1	w3 =	GPE
ejpam-5252	266	1	2n+ 2	DATE
ejpam-5252	266	2	3	CARDINAL
ejpam-5252	267	1	6	CARDINAL
ejpam-5252	267	2	s. ahamad	PERSON
ejpam-5252	267	3	j. cariaga	PERSON
ejpam-5252	267	4	s. menchavez / eur	ORG
ejpam-5252	268	1	j. pure	PERSON
ejpam-5252	268	2	18	CARDINAL
ejpam-5252	268	3	1	CARDINAL
ejpam-5252	268	4	2025	CARDINAL
ejpam-5252	268	5	5252 10	CARDINAL
ejpam-5252	268	6	18	CARDINAL
ejpam-5252	269	1	10	CARDINAL
ejpam-5252	270	1	bipartite	ORG
ejpam-5252	270	2	two	CARDINAL
ejpam-5252	270	3	v2.	GPE
ejpam-5252	271	1	bipartite	NORP
ejpam-5252	271	2	g = km	PERSON
ejpam-5252	271	3	6	CARDINAL
ejpam-5252	271	4	bipartite	NORP
ejpam-5252	271	5	k7,5	ORG
ejpam-5252	279	1	...........................................................................................................................................................................................................................................................................................................................................................................	PERSON
ejpam-5252	384	1	6	CARDINAL
ejpam-5252	384	2	bipartite	NORP
ejpam-5252	384	3	11	CARDINAL
ejpam-5252	385	1	bipartite	NORP
ejpam-5252	385	2	graph km	PERSON
ejpam-5252	385	3	n},m	NORP
ejpam-5252	385	4	n ≥ 2	DATE
ejpam-5252	386	1	 5	DATE
ejpam-5252	386	2	2	CARDINAL
ejpam-5252	386	3	3 9	DATE
ejpam-5252	386	4	4 10	DATE
ejpam-5252	386	5	5	CARDINAL
ejpam-5252	388	1	bipartite	NORP
ejpam-5252	388	2	graph km	PERSON
ejpam-5252	388	3	km,n	FAC
ejpam-5252	389	1	2	CARDINAL
ejpam-5252	389	2	5	CARDINAL
ejpam-5252	389	3	2	CARDINAL
ejpam-5252	389	4	5(iv	CARDINAL
ejpam-5252	390	1	5	CARDINAL
ejpam-5252	390	2	3	CARDINAL
ejpam-5252	390	3	3	CARDINAL
ejpam-5252	392	1	7	CARDINAL
ejpam-5252	394	1	w0,w1,w2,w3	ORG
ejpam-5252	395	1	w3	CARDINAL
ejpam-5252	395	2	γmr(g) ≥ 7	GPE
ejpam-5252	396	1	w0 ̸=	ORG
ejpam-5252	397	1	w3 = {x3}	PERSON
ejpam-5252	398	1	γmr(g) ≥ 7	GPE
ejpam-5252	400	1	7	CARDINAL
ejpam-5252	401	1	4	CARDINAL
ejpam-5252	401	2	x3	GPE
ejpam-5252	401	3	2	CARDINAL
ejpam-5252	401	4	3 and f(x3	CARDINAL
ejpam-5252	402	1	2	CARDINAL
ejpam-5252	404	1	1	CARDINAL
ejpam-5252	404	2	2	DATE
ejpam-5252	404	3	∈	ORG
ejpam-5252	407	1	9	CARDINAL
ejpam-5252	407	2	4	CARDINAL
ejpam-5252	409	1	8	CARDINAL
ejpam-5252	410	1	x3	GPE
ejpam-5252	411	1	7	CARDINAL
ejpam-5252	411	2	8	CARDINAL
ejpam-5252	412	1	1	CARDINAL
ejpam-5252	414	1	9	CARDINAL
ejpam-5252	415	1	5	CARDINAL
ejpam-5252	415	2	y = kn	PERSON
ejpam-5252	415	3	wlog	PERSON
ejpam-5252	415	4	s. ahamad	PERSON
ejpam-5252	415	5	j. cariaga	PERSON
ejpam-5252	415	6	s. menchavez / eur	ORG
ejpam-5252	416	1	j. pure	PERSON
ejpam-5252	416	2	18	CARDINAL
ejpam-5252	416	3	1	CARDINAL
ejpam-5252	416	4	2025	CARDINAL
ejpam-5252	416	5	5252 11	CARDINAL
ejpam-5252	416	6	18	CARDINAL
ejpam-5252	417	1	3	CARDINAL
ejpam-5252	418	1	2	CARDINAL
ejpam-5252	421	1	1	CARDINAL
ejpam-5252	421	2	2	DATE
ejpam-5252	422	1	2	CARDINAL
ejpam-5252	422	2	⟨v2 ∪	ORG
ejpam-5252	422	3	4 (ii	DATE
ejpam-5252	423	1	10	CARDINAL
ejpam-5252	424	1	1	CARDINAL
ejpam-5252	424	2	sn of order n+	ORG
ejpam-5252	424	3	1	CARDINAL
ejpam-5252	425	1	7	CARDINAL
ejpam-5252	425	2	s6	GPE
ejpam-5252	426	1	2	CARDINAL
ejpam-5252	426	2	7	CARDINAL
ejpam-5252	426	3	s6	GPE
ejpam-5252	426	4	7 1 1 1 1 1 2	DATE
ejpam-5252	426	5	8	CARDINAL
ejpam-5252	426	6	7	CARDINAL
ejpam-5252	426	7	12	CARDINAL
ejpam-5252	427	1	sn	ORG
ejpam-5252	427	2	n ≥ 1	DATE
ejpam-5252	427	3	2	CARDINAL
ejpam-5252	428	1	wlog	PERSON
ejpam-5252	429	1	f(x	ORG
ejpam-5252	430	1	2	CARDINAL
ejpam-5252	431	1	1	CARDINAL
ejpam-5252	434	1	w0,w1,w2,w3	ORG
ejpam-5252	434	2	w3 =	GPE
ejpam-5252	434	3	1	CARDINAL
ejpam-5252	436	1	1 and |w3|	TIME
ejpam-5252	436	2	1	CARDINAL
ejpam-5252	439	1	2|w2|+	CARDINAL
ejpam-5252	439	2	2	CARDINAL
ejpam-5252	439	3	2	CARDINAL
ejpam-5252	439	4	s. ahamad	PERSON
ejpam-5252	439	5	j. cariaga	PERSON
ejpam-5252	439	6	s. menchavez / eur	ORG
ejpam-5252	440	1	j. pure	PERSON
ejpam-5252	440	2	18	CARDINAL
ejpam-5252	440	3	1	CARDINAL
ejpam-5252	440	4	2025	CARDINAL
ejpam-5252	440	5	5252 12	CARDINAL
ejpam-5252	440	6	18 5	CARDINAL
ejpam-5252	441	1	two	CARDINAL
ejpam-5252	441	2	∈	ORG
ejpam-5252	442	1	3	CARDINAL
ejpam-5252	444	1	13	CARDINAL
ejpam-5252	445	1	v2 ̸=	ORG
ejpam-5252	445	2	g+h	ORG
ejpam-5252	446	1	∈	ORG
ejpam-5252	446	2	one	CARDINAL
ejpam-5252	446	3	∩	PERSON
ejpam-5252	446	4	v2 ∩	PERSON
ejpam-5252	446	5	v2 ∩	PERSON
ejpam-5252	448	1	∈	ORG
ejpam-5252	448	2	one	CARDINAL
ejpam-5252	448	3	1	CARDINAL
ejpam-5252	448	4	∩	PERSON
ejpam-5252	448	5	1	CARDINAL
ejpam-5252	448	6	v2 ∩	PERSON
ejpam-5252	448	7	v2 ∩	PERSON
ejpam-5252	450	1	̸∈ mrdf	PERSON
ejpam-5252	450	2	̸∈ mrdf	PERSON
ejpam-5252	450	3	∩ v2 = ∅	PERSON
ejpam-5252	450	4	∈	ORG
ejpam-5252	451	1	∈	ORG
ejpam-5252	452	1	∃x ∈ v1	ORG
ejpam-5252	452	2	v2 ∩	PERSON
ejpam-5252	452	3	∩ v2 = ∅	PERSON
ejpam-5252	452	4	∈	ORG
ejpam-5252	453	1	∈	ORG
ejpam-5252	454	1	s. ahamad	PERSON
ejpam-5252	454	2	j. cariaga	PERSON
ejpam-5252	454	3	s. menchavez / eur	ORG
ejpam-5252	455	1	j. pure	PERSON
ejpam-5252	455	2	18	CARDINAL
ejpam-5252	455	3	1	CARDINAL
ejpam-5252	455	4	2025	CARDINAL
ejpam-5252	455	5	5252 13	CARDINAL
ejpam-5252	455	6	18	CARDINAL
ejpam-5252	455	7	v2 ∩	PERSON
ejpam-5252	455	8	∃x ∈ v1	ORG
ejpam-5252	455	9	nh(x)∩ v2 = ∅	PRODUCT
ejpam-5252	456	1	∈	ORG
ejpam-5252	459	1	∈	ORG
ejpam-5252	459	2	w ∈	PERSON
ejpam-5252	459	3	⊆	CARDINAL
ejpam-5252	459	4	2	CARDINAL
ejpam-5252	459	5	3	CARDINAL
ejpam-5252	460	1	⊆	CARDINAL
ejpam-5252	461	1	∈	ORG
ejpam-5252	462	1	∩	PERSON
ejpam-5252	463	1	∈ v2 ∩	PERSON
ejpam-5252	463	2	w ∈	PERSON
ejpam-5252	463	3	vw	GPE
ejpam-5252	465	1	⊆	CARDINAL
ejpam-5252	467	1	∈	ORG
ejpam-5252	468	1	∈	PRODUCT
ejpam-5252	468	2	∈	ORG
ejpam-5252	470	1	∈	ORG
ejpam-5252	471	1	∩	PERSON
ejpam-5252	471	2	∈	PRODUCT
ejpam-5252	471	3	∈	PRODUCT
ejpam-5252	473	1	∈	ORG
ejpam-5252	473	2	1	CARDINAL
ejpam-5252	473	3	∩	PERSON
ejpam-5252	473	4	1	CARDINAL
ejpam-5252	473	5	g+h	ORG
ejpam-5252	475	1	∩	PERSON
ejpam-5252	475	2	⊆	CARDINAL
ejpam-5252	477	1	∈ v2 ∩	PERSON
ejpam-5252	477	2	⊆	CARDINAL
ejpam-5252	479	1	∈	ORG
ejpam-5252	481	1	∈	ORG
ejpam-5252	490	1	∩	PERSON
ejpam-5252	490	2	⊆	CARDINAL
ejpam-5252	492	1	⊆	CARDINAL
ejpam-5252	493	1	v2 ∩	PERSON
ejpam-5252	493	2	∈ v2 ∩	PERSON
ejpam-5252	494	1	∈	ORG
ejpam-5252	496	1	∈	ORG
ejpam-5252	497	1	⊆	CARDINAL
ejpam-5252	499	1	∈ v2 ∩	PERSON
ejpam-5252	503	1	g+h	ORG
ejpam-5252	504	1	̸∈ mrdf	PERSON
ejpam-5252	504	2	̸∈ mrdf	PERSON
ejpam-5252	506	1	∩ v2 = ∅	PERSON
ejpam-5252	506	2	∈	ORG
ejpam-5252	507	1	∩ v2 = ∅	PERSON
ejpam-5252	507	2	w ∈ v2 ∩	PERSON
ejpam-5252	507	3	vw ∈	ORG
ejpam-5252	509	1	∩ v2 ̸=	PERSON
ejpam-5252	509	2	∈ v2 ∩	PERSON
ejpam-5252	509	3	∈	ORG
ejpam-5252	510	1	w ∈	PERSON
ejpam-5252	510	2	vw ∈	ORG
ejpam-5252	511	1	w ∈	PERSON
ejpam-5252	511	2	vw ∈	ORG
ejpam-5252	513	1	1	CARDINAL
ejpam-5252	514	1	∈	PRODUCT
ejpam-5252	515	1	g+h	ORG
ejpam-5252	516	1	∈	ORG
ejpam-5252	516	2	0	CARDINAL
ejpam-5252	516	3	1	CARDINAL
ejpam-5252	516	4	g+h	ORG
ejpam-5252	517	1	g+h	ORG
ejpam-5252	518	1	1	CARDINAL
ejpam-5252	518	2	∈	ORG
ejpam-5252	521	1	∩	PERSON
ejpam-5252	522	1	∈	ORG
ejpam-5252	522	2	∈	ORG
ejpam-5252	524	1	v2 ⊆	PRODUCT
ejpam-5252	525	1	w ∈	PERSON
ejpam-5252	526	1	∈	ORG
ejpam-5252	527	1	g+h	ORG
ejpam-5252	527	2	vw ∈ e(h	ORG
ejpam-5252	527	3	⊆	CARDINAL
ejpam-5252	529	1	s. ahamad	PERSON
ejpam-5252	529	2	j. cariaga	PERSON
ejpam-5252	529	3	s. menchavez / eur	ORG
ejpam-5252	530	1	j. pure	PERSON
ejpam-5252	530	2	18	CARDINAL
ejpam-5252	530	3	1	CARDINAL
ejpam-5252	530	4	2025	CARDINAL
ejpam-5252	530	5	5252	CARDINAL
ejpam-5252	530	6	14	CARDINAL
ejpam-5252	530	7	18	CARDINAL
ejpam-5252	530	8	∈	ORG
ejpam-5252	531	1	i)(c2	ORG
ejpam-5252	532	1	2	CARDINAL
ejpam-5252	532	2	∈	ORG
ejpam-5252	533	1	1	CARDINAL
ejpam-5252	533	2	3	CARDINAL
ejpam-5252	539	1	g+h	ORG
ejpam-5252	540	1	g+h	ORG
ejpam-5252	541	1	∩ v2 = ∅	PERSON
ejpam-5252	541	2	∈	ORG
ejpam-5252	542	1	∈ v2 ∩	PERSON
ejpam-5252	542	2	∈	ORG
ejpam-5252	544	1	∩ v2 ̸=	PERSON
ejpam-5252	544	2	g+h	ORG
ejpam-5252	544	3	w ∈	PERSON
ejpam-5252	544	4	g+h	NORP
ejpam-5252	544	5	w ∈ ng+h(x	ORG
ejpam-5252	546	1	∩ v2 = ∅	PERSON
ejpam-5252	546	2	v2 ∩	PRODUCT
ejpam-5252	546	3	w ∈	ORG
ejpam-5252	546	4	g+h	NORP
ejpam-5252	546	5	w ∈ ng+h(x	PERSON
ejpam-5252	547	1	w ∈	PERSON
ejpam-5252	549	1	∈ v2 ∩	PERSON
ejpam-5252	549	2	w ∈	PERSON
ejpam-5252	550	1	w ∈	ORG
ejpam-5252	553	1	14	DATE
ejpam-5252	555	1	3 ≤ γmr(g+h	QUANTITY
ejpam-5252	555	2	10	CARDINAL
ejpam-5252	558	1	3	CARDINAL
ejpam-5252	560	1	2	CARDINAL
ejpam-5252	561	1	3	CARDINAL
ejpam-5252	562	1	un	ORG
ejpam-5252	563	1	f(x	ORG
ejpam-5252	565	1	2	CARDINAL
ejpam-5252	566	1	3	CARDINAL
ejpam-5252	566	2	{v2	PERSON
ejpam-5252	567	1	∈	ORG
ejpam-5252	569	1	g+h	ORG
ejpam-5252	570	1	10	CARDINAL
ejpam-5252	571	1	3 ≤ γmr(g+h	QUANTITY
ejpam-5252	572	1	15	CARDINAL
ejpam-5252	575	1	3	CARDINAL
ejpam-5252	576	1	4	CARDINAL
ejpam-5252	577	1	5	CARDINAL
ejpam-5252	578	1	s. ahamad	PERSON
ejpam-5252	578	2	j. cariaga	PERSON
ejpam-5252	578	3	s. menchavez / eur	ORG
ejpam-5252	579	1	j. pure	PERSON
ejpam-5252	579	2	18	CARDINAL
ejpam-5252	579	3	1	CARDINAL
ejpam-5252	579	4	2025	CARDINAL
ejpam-5252	579	5	5252 15	CARDINAL
ejpam-5252	579	6	4	CARDINAL
ejpam-5252	579	7	2	CARDINAL
ejpam-5252	580	1	2	CARDINAL
ejpam-5252	580	2	4	CARDINAL
ejpam-5252	580	3	γ(g	NORP
ejpam-5252	580	4	1	CARDINAL
ejpam-5252	581	1	1	CARDINAL
ejpam-5252	582	1	5	CARDINAL
ejpam-5252	584	1	g = kn	PERSON
ejpam-5252	584	2	2	CARDINAL
ejpam-5252	585	1	5	CARDINAL
ejpam-5252	585	2	g = kn	PERSON
ejpam-5252	585	3	5	CARDINAL
ejpam-5252	587	1	10	CARDINAL
ejpam-5252	588	1	6	CARDINAL
ejpam-5252	589	1	one	CARDINAL
ejpam-5252	589	2	3	CARDINAL
ejpam-5252	589	3	g ◦ h corresponding	ORG
ejpam-5252	589	4	∈	ORG
ejpam-5252	590	1	0	CARDINAL
ejpam-5252	590	2	1	DATE
ejpam-5252	590	3	2	DATE
ejpam-5252	590	4	3	CARDINAL
ejpam-5252	590	5	∈	ORG
ejpam-5252	591	1	16	CARDINAL
ejpam-5252	595	1	∈	PRODUCT
ejpam-5252	596	1	∈	ORG
ejpam-5252	596	2	2	CARDINAL
ejpam-5252	596	3	3	CARDINAL
ejpam-5252	596	4	1	CARDINAL
ejpam-5252	596	5	2	CARDINAL
ejpam-5252	596	6	3	CARDINAL
ejpam-5252	596	7	1	CARDINAL
ejpam-5252	596	8	3	CARDINAL
ejpam-5252	596	9	0	CARDINAL
ejpam-5252	597	1	2	CARDINAL
ejpam-5252	597	2	0	CARDINAL
ejpam-5252	599	1	g ◦ h	ORG
ejpam-5252	600	1	0	CARDINAL
ejpam-5252	601	1	∈	ORG
ejpam-5252	601	2	w	ORG
ejpam-5252	601	3	w ∈ v2	PRODUCT
ejpam-5252	603	1	∈	ORG
ejpam-5252	603	2	w	ORG
ejpam-5252	603	3	∈	ORG
ejpam-5252	604	1	1	CARDINAL
ejpam-5252	605	1	∈ v2	MONEY
ejpam-5252	605	2	2 ∪	PERCENT
ejpam-5252	605	3	3	CARDINAL
ejpam-5252	606	1	∈	PRODUCT
ejpam-5252	606	2	g ◦ h	ORG
ejpam-5252	607	1	2	CARDINAL
ejpam-5252	608	1	3	CARDINAL
ejpam-5252	610	1	1	CARDINAL
ejpam-5252	611	1	3	CARDINAL
ejpam-5252	611	2	2	CARDINAL
ejpam-5252	612	1	0	CARDINAL
ejpam-5252	613	1	w ∈ v2	PERSON
ejpam-5252	613	2	∈	ORG
ejpam-5252	614	1	1	CARDINAL
ejpam-5252	616	1	∈ v2 ∩	PRODUCT
ejpam-5252	616	2	0	CARDINAL
ejpam-5252	617	1	⊆	CARDINAL
ejpam-5252	618	1	∈	PRODUCT
ejpam-5252	619	1	s. ahamad	PERSON
ejpam-5252	619	2	j. cariaga	PERSON
ejpam-5252	619	3	s. menchavez / eur	ORG
ejpam-5252	620	1	j. pure	PERSON
ejpam-5252	620	2	18	CARDINAL
ejpam-5252	620	3	1	CARDINAL
ejpam-5252	620	4	2025	CARDINAL
ejpam-5252	620	5	5252 16	CARDINAL
ejpam-5252	620	6	18	CARDINAL
ejpam-5252	620	7	3	CARDINAL
ejpam-5252	621	1	3	CARDINAL
ejpam-5252	621	2	0	CARDINAL
ejpam-5252	623	1	2	CARDINAL
ejpam-5252	624	1	2	CARDINAL
ejpam-5252	624	2	0	CARDINAL
ejpam-5252	626	1	∈	ORG
ejpam-5252	626	2	∈	ORG
ejpam-5252	627	1	∈	PRODUCT
ejpam-5252	627	2	g ◦h	ORG
ejpam-5252	628	1	w ∈	PERSON
ejpam-5252	628	2	2	CARDINAL
ejpam-5252	628	3	3	CARDINAL
ejpam-5252	628	4	w	ORG
ejpam-5252	628	5	∈	ORG
ejpam-5252	628	6	w	ORG
ejpam-5252	629	1	3	CARDINAL
ejpam-5252	629	2	1	CARDINAL
ejpam-5252	629	3	w ∈	PERSON
ejpam-5252	629	4	2	CARDINAL
ejpam-5252	630	1	w	ORG
ejpam-5252	631	1	2	CARDINAL
ejpam-5252	631	2	1	CARDINAL
ejpam-5252	632	1	w ∈	PRODUCT
ejpam-5252	632	2	3	CARDINAL
ejpam-5252	633	1	w	ORG
ejpam-5252	634	1	∈	ORG
ejpam-5252	634	2	0	CARDINAL
ejpam-5252	635	1	∈	ORG
ejpam-5252	636	1	∈	PRODUCT
ejpam-5252	636	2	g◦h	ORG
ejpam-5252	637	1	∈	ORG
ejpam-5252	637	2	2	CARDINAL
ejpam-5252	637	3	3	CARDINAL
ejpam-5252	638	1	∈	ORG
ejpam-5252	639	1	3	CARDINAL
ejpam-5252	639	2	0	CARDINAL
ejpam-5252	640	1	∈	ORG
ejpam-5252	640	2	3	CARDINAL
ejpam-5252	641	1	∈	PRODUCT
ejpam-5252	642	1	2	CARDINAL
ejpam-5252	642	2	0	CARDINAL
ejpam-5252	643	1	∈	ORG
ejpam-5252	643	2	2	CARDINAL
ejpam-5252	645	1	∈	ORG
ejpam-5252	645	2	2 ∪v	PERCENT
ejpam-5252	645	3	3	CARDINAL
ejpam-5252	645	4	hu	PERSON
ejpam-5252	646	1	∈ v2 ∪	MONEY
ejpam-5252	647	1	∈	ORG
ejpam-5252	648	1	∈	ORG
ejpam-5252	649	1	∈	ORG
ejpam-5252	649	2	w ∈	PERSON
ejpam-5252	649	3	2 ∪	PERCENT
ejpam-5252	649	4	3	CARDINAL
ejpam-5252	649	5	∈	PRODUCT
ejpam-5252	650	1	w ∈ v2	NORP
ejpam-5252	650	2	w ∈	ORG
ejpam-5252	651	1	g ◦h	ORG
ejpam-5252	652	1	17	CARDINAL
ejpam-5252	654	1	3n ≤ ∑	QUANTITY
ejpam-5252	656	1	∈	ORG
ejpam-5252	657	1	∈ v2 ∪	MONEY
ejpam-5252	657	2	3n ≤ ∑	QUANTITY
ejpam-5252	657	3	∈	ORG
ejpam-5252	658	1	∈	PRODUCT
ejpam-5252	659	1	3n	CARDINAL
ejpam-5252	660	1	∈	PRODUCT
ejpam-5252	661	1	3n ≤ ∑	QUANTITY
ejpam-5252	662	1	kn	PERSON
ejpam-5252	663	1	18	CARDINAL
ejpam-5252	664	1	2	CARDINAL
ejpam-5252	664	2	γmr(g ◦km	NORP
ejpam-5252	665	1	4n	CARDINAL
ejpam-5252	665	2	2. 5n	CARDINAL
ejpam-5252	665	3	3	CARDINAL
ejpam-5252	667	1	1	CARDINAL
ejpam-5252	668	1	2	CARDINAL
ejpam-5252	668	2	γmr(g ◦	GPE
ejpam-5252	668	3	4	CARDINAL
ejpam-5252	669	1	4	CARDINAL
ejpam-5252	670	1	5	CARDINAL
ejpam-5252	670	2	6.	DATE
ejpam-5252	671	1	1	CARDINAL
ejpam-5252	671	2	2	CARDINAL
ejpam-5252	672	1	⋃ v∈v	PERSON
ejpam-5252	674	1	γmr(g ◦ k2	GPE
ejpam-5252	675	1	w0,w1,w2,w3	ORG
ejpam-5252	676	1	w3 =	GPE
ejpam-5252	676	2	γmr(g ◦	GPE
ejpam-5252	676	3	4n	CARDINAL
ejpam-5252	677	1	s. ahamad	PERSON
ejpam-5252	677	2	j. cariaga	PERSON
ejpam-5252	677	3	s. menchavez / eur	ORG
ejpam-5252	678	1	j. pure	PERSON
ejpam-5252	678	2	18	CARDINAL
ejpam-5252	678	3	1	CARDINAL
ejpam-5252	678	4	2025	CARDINAL
ejpam-5252	678	5	5252 17	CARDINAL
ejpam-5252	678	6	18	DATE
ejpam-5252	678	7	3	CARDINAL
ejpam-5252	678	8	∈	ORG
ejpam-5252	679	1	f(x	ORG
ejpam-5252	681	1	3	CARDINAL
ejpam-5252	681	2	∈	ORG
ejpam-5252	682	1	2	CARDINAL
ejpam-5252	682	2	⋃ v∈v	PERSON
ejpam-5252	683	1	⋃ v∈v	PERSON
ejpam-5252	685	1	γmr(g ◦ km	NORP
ejpam-5252	686	1	w0,w1,w2,w3	ORG
ejpam-5252	687	1	w3 =	GPE
ejpam-5252	688	1	γmr(g ◦km	NORP
ejpam-5252	689	1	5n	CARDINAL
ejpam-5252	690	1	1 and |w3|	TIME
ejpam-5252	690	2	1	CARDINAL
ejpam-5252	691	1	2|w2|+	CARDINAL
ejpam-5252	691	2	5n	CARDINAL
ejpam-5252	692	1	γmr(g ◦km	NORP
ejpam-5252	693	1	5n	CARDINAL
ejpam-5252	694	1	5	CARDINAL
ejpam-5252	695	1	kn	PERSON
ejpam-5252	695	2	2	CARDINAL
ejpam-5252	695	3	3n	CARDINAL
ejpam-5252	697	1	sn	ORG
ejpam-5252	697	2	12	CARDINAL
ejpam-5252	699	1	kn ◦k1	PERSON
ejpam-5252	700	1	5	CARDINAL
ejpam-5252	701	1	3n	CARDINAL
ejpam-5252	703	1	one	CARDINAL
ejpam-5252	703	2	s. ahamad	PERSON
ejpam-5252	703	3	the department of science and technology	ORG
ejpam-5252	704	1	s. ahamad	PERSON
ejpam-5252	704	2	j. cariaga	PERSON
ejpam-5252	704	3	s. menchavez / eur	ORG
ejpam-5252	705	1	j. pure	PERSON
ejpam-5252	705	2	18	CARDINAL
ejpam-5252	705	3	1	CARDINAL
ejpam-5252	705	4	2025	CARDINAL
ejpam-5252	705	5	5252 18	CARDINAL
ejpam-5252	705	6	18	CARDINAL
ejpam-5252	705	7	1	CARDINAL
ejpam-5252	705	8	ahmed	PERSON
ejpam-5252	705	9	n.a. manal	PERSON
ejpam-5252	707	1	2:47–54	DATE
ejpam-5252	707	2	2022	CARDINAL
ejpam-5252	708	1	2	CARDINAL
ejpam-5252	708	2	f. buckley	PERSON
ejpam-5252	708	3	f. harary	PERSON
ejpam-5252	710	1	addison-wesley	ORG
ejpam-5252	710	2	redwood city	GPE
ejpam-5252	710	3	1990	DATE
ejpam-5252	711	1	3	CARDINAL
ejpam-5252	711	2	jamil	GPE
ejpam-5252	713	1	european journal	ORG
ejpam-5252	713	2	16:847–863	CARDINAL
ejpam-5252	713	3	2023	CARDINAL
ejpam-5252	714	1	4	CARDINAL
ejpam-5252	714	2	j. chvatal	PERSON
ejpam-5252	715	1	extremal	GPE
ejpam-5252	716	1	23:1575–1586, 2004	DATE
ejpam-5252	717	1	5	CARDINAL
ejpam-5252	717	2	cockayne	ORG
ejpam-5252	717	3	s.t.	PERSON
ejpam-5252	717	4	hedetniemi	PERSON
ejpam-5252	719	1	1977	DATE
ejpam-5252	720	1	6	CARDINAL
ejpam-5252	720	2	cockayne	PERSON
ejpam-5252	721	1	dreyer sr.	PERSON
ejpam-5252	721	2	s.m.	GPE
ejpam-5252	721	3	hedetniemi	PERSON
ejpam-5252	721	4	s.t.	PERSON
ejpam-5252	723	1	2004	DATE
ejpam-5252	724	1	7	CARDINAL
ejpam-5252	724	2	fortosa	PERSON
ejpam-5252	724	3	f.p. jamil	PERSON
ejpam-5252	724	4	s.r. canoy	PERSON
ejpam-5252	726	1	european journal	ORG
ejpam-5252	726	2	17:1335–1351	CARDINAL
ejpam-5252	726	3	2024	DATE
ejpam-5252	727	1	8	CARDINAL
ejpam-5252	727	2	hassan	PERSON
ejpam-5252	727	3	a.o. ahmed	PERSON
ejpam-5252	729	1	basrah journal of agricultural sciences	ORG
ejpam-5252	729	2	36:45–54,	DATE
ejpam-5252	729	3	2018	DATE
ejpam-5252	730	1	9	CARDINAL
ejpam-5252	730	2	henning	PERSON
ejpam-5252	730	3	s.t.	PERSON
ejpam-5252	730	4	hedetniemi	PERSON
ejpam-5252	732	1	266:1–3, 2003	DATE
ejpam-5252	733	1	10	CARDINAL
ejpam-5252	733	2	michael	PERSON
ejpam-5252	733	3	s. vladimir	PERSON
ejpam-5252	735	1	10:501–517	CARDINAL
ejpam-5252	735	2	2016	DATE
ejpam-5252	736	1	11	CARDINAL
ejpam-5252	736	2	a.a.	GPE
ejpam-5252	736	3	m.n.	GPE
ejpam-5252	738	1	17	CARDINAL
ejpam-5252	738	2	2022	CARDINAL
ejpam-5252	739	1	12	CARDINAL
ejpam-5252	739	2	jamil	GPE
ejpam-5252	741	1	european journal	ORG
ejpam-5252	741	2	13:529–548	CARDINAL
ejpam-5252	741	3	2020	DATE
ejpam-5252	742	1	13	CARDINAL
ejpam-5252	742	2	revelle	PERSON
ejpam-5252	742	3	k.e.	GPE
ejpam-5252	744	1	defendens imperium romanum	PERSON
ejpam-5252	745	1	american	NORP
ejpam-5252	745	2	monthly	DATE
ejpam-5252	745	3	2000	DATE
ejpam-5252	746	1	14	CARDINAL
ejpam-5252	746	2	s. salah	PERSON
ejpam-5252	746	3	a.a.	GPE
ejpam-5252	746	4	m.n. al-harere	GPE
ejpam-5252	747	1	two	CARDINAL
ejpam-5252	748	1	aip	ORG
ejpam-5252	748	2	2386	CARDINAL
ejpam-5252	748	3	2022	CARDINAL
ejpam-5252	749	1	15	CARDINAL
ejpam-5252	749	2	i. stewart	PERSON
ejpam-5252	751	1	american	NORP
ejpam-5252	751	2	281:136–139, 1999	DATE