id	sid	eid	entity	type
ejpam-4168	1	1	european journal	ORG
ejpam-4168	2	1	14	DATE
ejpam-4168	2	2	4	CARDINAL
ejpam-4168	2	3	2021	DATE
ejpam-4168	2	4	1490	CARDINAL
ejpam-4168	2	5	1307-5543	CARDINAL
ejpam-4168	2	6	new york	GPE
ejpam-4168	2	7	jessa mae	PERSON
ejpam-4168	2	8	c. cabulao1,∗	PERSON
ejpam-4168	2	9	rowena t. isla1,2 1	PERSON
ejpam-4168	2	10	mindanao state university-iligan institute of technology	ORG
ejpam-4168	2	11	9200	CARDINAL
ejpam-4168	2	12	iligan city	GPE
ejpam-4168	2	13	2	CARDINAL
ejpam-4168	2	14	institute of science	ORG
ejpam-4168	2	15	mindanao state university-iligan institute of technology	ORG
ejpam-4168	2	16	9200	CARDINAL
ejpam-4168	2	17	iligan city	GPE
ejpam-4168	2	18	philippines	GPE
ejpam-4168	5	1	0	CARDINAL
ejpam-4168	5	2	1	CARDINAL
ejpam-4168	5	3	⊆	CARDINAL
ejpam-4168	6	1	⊆	CARDINAL
ejpam-4168	7	1	0	CARDINAL
ejpam-4168	7	2	1	CARDINAL
ejpam-4168	9	1	1 2	CARDINAL
ejpam-4168	11	1	2020	DATE
ejpam-4168	11	2	05c69	CARDINAL
ejpam-4168	11	3	1	CARDINAL
ejpam-4168	12	1	1962	DATE
ejpam-4168	12	2	1	CARDINAL
ejpam-4168	13	1	⊆	CARDINAL
ejpam-4168	13	2	∈	ORG
ejpam-4168	14	1	∈	ORG
ejpam-4168	15	1	∈	ORG
ejpam-4168	16	1	γ(g	NORP
ejpam-4168	17	1	t. haynes ∗corresponding	ORG
ejpam-4168	18	1	jessamae.cabulao@g.msuiit.edu.ph	PERSON
ejpam-4168	18	2	j.m. cabulao	GPE
ejpam-4168	18	3	r. isla	PERSON
ejpam-4168	19	1	1490	CARDINAL
ejpam-4168	20	1	2021	CARDINAL
ejpam-4168	21	1	j.m. cabulao	GPE
ejpam-4168	21	2	r. isla	PERSON
ejpam-4168	22	1	j. pure	PERSON
ejpam-4168	22	2	14	CARDINAL
ejpam-4168	22	3	4	CARDINAL
ejpam-4168	22	4	2021	CARDINAL
ejpam-4168	22	5	1490-1506 1491	CARDINAL
ejpam-4168	23	1	6	CARDINAL
ejpam-4168	24	1	e. sampathkumarin	PERSON
ejpam-4168	24	2	walikar	PERSON
ejpam-4168	24	3	1979	DATE
ejpam-4168	24	4	12	CARDINAL
ejpam-4168	25	1	⊆	CARDINAL
ejpam-4168	27	1	11	CARDINAL
ejpam-4168	28	1	2009	DATE
ejpam-4168	28	2	w. duckworth	PERSON
ejpam-4168	29	1	4	CARDINAL
ejpam-4168	30	1	2012	DATE
ejpam-4168	30	2	h. karami et al	PERSON
ejpam-4168	31	1	8	CARDINAL
ejpam-4168	32	1	one	CARDINAL
ejpam-4168	34	1	13	CARDINAL
ejpam-4168	35	1	2017	CARDINAL
ejpam-4168	35	2	s. kaspar et al	PERSON
ejpam-4168	36	1	5	CARDINAL
ejpam-4168	40	1	2	CARDINAL
ejpam-4168	41	1	2017	DATE
ejpam-4168	42	1	9	CARDINAL
ejpam-4168	42	2	3	CARDINAL
ejpam-4168	43	1	das	PERSON
ejpam-4168	44	1	1 2	CARDINAL
ejpam-4168	44	2	only at least half	CARDINAL
ejpam-4168	45	1	the same year	DATE
ejpam-4168	45	2	y. caro	PERSON
ejpam-4168	45	3	a. hansberg	PERSON
ejpam-4168	46	1	2	CARDINAL
ejpam-4168	46	2	6	CARDINAL
ejpam-4168	47	1	0	CARDINAL
ejpam-4168	47	2	1	CARDINAL
ejpam-4168	48	1	⊆	CARDINAL
ejpam-4168	49	1	∂α(g	GPE
ejpam-4168	50	1	cardinality	ORG
ejpam-4168	50	2	∂α(g	GPE
ejpam-4168	51	1	2019	DATE
ejpam-4168	51	2	r. macapodi	PERSON
ejpam-4168	51	3	r. isla	PERSON
ejpam-4168	51	4	s. canoy	PERSON
ejpam-4168	52	1	7	CARDINAL
ejpam-4168	52	2	cartesian	NORP
ejpam-4168	53	1	the same year	DATE
ejpam-4168	53	2	r. macapodi	PERSON
ejpam-4168	53	3	r. isla	PERSON
ejpam-4168	53	4	10	CARDINAL
ejpam-4168	55	1	j.m. cabulao	GPE
ejpam-4168	55	2	r. isla	PERSON
ejpam-4168	56	1	j. pure	PERSON
ejpam-4168	56	2	14	CARDINAL
ejpam-4168	56	3	4	CARDINAL
ejpam-4168	56	4	2021	CARDINAL
ejpam-4168	56	5	1490-1506	CARDINAL
ejpam-4168	57	1	0	CARDINAL
ejpam-4168	57	2	1	CARDINAL
ejpam-4168	58	1	⊆	CARDINAL
ejpam-4168	59	1	two	CARDINAL
ejpam-4168	60	1	∈	ORG
ejpam-4168	61	1	two	CARDINAL
ejpam-4168	61	2	g ◦ h	ORG
ejpam-4168	61	3	one	CARDINAL
ejpam-4168	61	4	∈	ORG
ejpam-4168	61	5	g◦h	ORG
ejpam-4168	62	1	two	CARDINAL
ejpam-4168	62	2	g[h	ORG
ejpam-4168	62	3	v1)(u2	GPE
ejpam-4168	63	1	cartesian	NORP
ejpam-4168	63	2	two	CARDINAL
ejpam-4168	63	3	g□h	ORG
ejpam-4168	63	4	v1)(u2	GPE
ejpam-4168	64	1	0	CARDINAL
ejpam-4168	64	2	1	CARDINAL
ejpam-4168	66	1	1 2	CARDINAL
ejpam-4168	68	1	2	CARDINAL
ejpam-4168	69	1	first	ORDINAL
ejpam-4168	70	1	1	CARDINAL
ejpam-4168	72	1	1	CARDINAL
ejpam-4168	72	2	2	CARDINAL
ejpam-4168	73	1	0	CARDINAL
ejpam-4168	73	2	1	CARDINAL
ejpam-4168	74	1	∂α(g	GPE
ejpam-4168	75	1	j.m. cabulao	PERSON
ejpam-4168	75	2	r. isla	PERSON
ejpam-4168	76	1	j. pure	PERSON
ejpam-4168	76	2	14	CARDINAL
ejpam-4168	76	3	4	CARDINAL
ejpam-4168	76	4	2021	CARDINAL
ejpam-4168	76	5	1490	CARDINAL
ejpam-4168	76	6	3	CARDINAL
ejpam-4168	77	1	2	CARDINAL
ejpam-4168	79	1	1	CARDINAL
ejpam-4168	80	1	1 2	CARDINAL
ejpam-4168	81	1	g1	ORG
ejpam-4168	82	1	4	CARDINAL
ejpam-4168	82	2	2	CARDINAL
ejpam-4168	83	1	graphg2	LOC
ejpam-4168	83	2	2	CARDINAL
ejpam-4168	83	3	2 3	DATE
ejpam-4168	85	1	2	CARDINAL
ejpam-4168	91	1	• •	DATE
ejpam-4168	94	1	1	CARDINAL
ejpam-4168	94	2	4	CARDINAL
ejpam-4168	94	3	2	CARDINAL
ejpam-4168	125	1	• •	CARDINAL
ejpam-4168	127	1	c2 c3 c4 g2 :	PERSON
ejpam-4168	127	2	2	CARDINAL
ejpam-4168	127	3	2	CARDINAL
ejpam-4168	127	4	2 3	DATE
ejpam-4168	127	5	4	CARDINAL
ejpam-4168	128	1	0	CARDINAL
ejpam-4168	128	2	1	CARDINAL
ejpam-4168	129	1	∂α(g	GPE
ejpam-4168	131	1	5	CARDINAL
ejpam-4168	132	1	0	CARDINAL
ejpam-4168	132	2	1	CARDINAL
ejpam-4168	133	1	1 ≤	QUANTITY
ejpam-4168	134	1	1	CARDINAL
ejpam-4168	135	1	1	CARDINAL
ejpam-4168	136	1	5(ii	CARDINAL
ejpam-4168	136	2	γ(g	NORP
ejpam-4168	136	3	1	CARDINAL
ejpam-4168	136	4	k1,n	ORG
ejpam-4168	138	1	0	CARDINAL
ejpam-4168	138	2	1	CARDINAL
ejpam-4168	139	1	k1,n	ORG
ejpam-4168	140	1	1	CARDINAL
ejpam-4168	142	1	1	CARDINAL
ejpam-4168	143	1	2	CARDINAL
ejpam-4168	144	1	bipartite	NORP
ejpam-4168	144	2	graph km	PERSON
ejpam-4168	144	3	1	CARDINAL
ejpam-4168	145	1	n+1 m+n	PERSON
ejpam-4168	146	1	2	CARDINAL
ejpam-4168	147	1	1	CARDINAL
ejpam-4168	147	2	j.m.	GPE
ejpam-4168	147	3	r. isla	PERSON
ejpam-4168	148	1	j. pure	PERSON
ejpam-4168	148	2	14	CARDINAL
ejpam-4168	148	3	4	CARDINAL
ejpam-4168	148	4	2021	CARDINAL
ejpam-4168	148	5	1490	CARDINAL
ejpam-4168	148	6	|nkm	ORG
ejpam-4168	148	7	n[u]|	ORG
ejpam-4168	148	8	n+1 m+n	PERSON
ejpam-4168	149	1	|nkm	FAC
ejpam-4168	150	1	1	CARDINAL
ejpam-4168	151	1	n+1 m+n	PERSON
ejpam-4168	152	1	α(m + n	LOC
ejpam-4168	152	2	1	CARDINAL
ejpam-4168	152	3	2	DATE
ejpam-4168	152	4	n)|.	GPE
ejpam-4168	153	1	1	CARDINAL
ejpam-4168	153	2	2	DATE
ejpam-4168	153	3	m. accordingly	PERSON
ejpam-4168	154	1	1	CARDINAL
ejpam-4168	155	1	n+1 m+n	PERSON
ejpam-4168	155	2	1 ≤	QUANTITY
ejpam-4168	155	3	2	CARDINAL
ejpam-4168	155	4	3	CARDINAL
ejpam-4168	156	1	1 2	CARDINAL
ejpam-4168	156	2	1	CARDINAL
ejpam-4168	156	3	1 ≤ n ≤ 4	QUANTITY
ejpam-4168	156	4	1 2	CARDINAL
ejpam-4168	156	5	1	CARDINAL
ejpam-4168	156	6	3 ≤ n ≤ 4	QUANTITY
ejpam-4168	156	7	1 2	CARDINAL
ejpam-4168	156	8	1 2	CARDINAL
ejpam-4168	156	9	− 2 for n ≥ 5	ORG
ejpam-4168	158	1	1 ≤ n ≤ 4	QUANTITY
ejpam-4168	158	2	1 2	CARDINAL
ejpam-4168	158	3	1	CARDINAL
ejpam-4168	158	4	n ≥ 5	DATE
ejpam-4168	159	1	2 ⌉−1	PERCENT
ejpam-4168	160	1	+ 2 =( ⌈n2	DATE
ejpam-4168	160	2	2	CARDINAL
ejpam-4168	161	1	⌈n2 ⌉ ≥ 1 2	DATE
ejpam-4168	161	2	1 2	DATE
ejpam-4168	162	1	1 2	CARDINAL
ejpam-4168	162	2	2	CARDINAL
ejpam-4168	163	1	1 2	DATE
ejpam-4168	163	2	at least ⌈n2	DATE
ejpam-4168	163	3	at least ⌈n2	DATE
ejpam-4168	163	4	2	CARDINAL
ejpam-4168	163	5	1 2	CARDINAL
ejpam-4168	163	6	− 2	ORG
ejpam-4168	163	7	1 2	CARDINAL
ejpam-4168	163	8	− 2	ORG
ejpam-4168	163	9	1 2	CARDINAL
ejpam-4168	163	10	− 2 for n ≥ 5	ORG
ejpam-4168	163	11	1 2	DATE
ejpam-4168	163	12	at least ⌈n2	DATE
ejpam-4168	163	13	2	CARDINAL
ejpam-4168	163	14	1 2	CARDINAL
ejpam-4168	164	1	1 2	CARDINAL
ejpam-4168	165	1	1	CARDINAL
ejpam-4168	167	1	1	CARDINAL
ejpam-4168	168	1	3a	CARDINAL
ejpam-4168	169	1	2	CARDINAL
ejpam-4168	169	2	1 2	CARDINAL
ejpam-4168	170	1	1	CARDINAL
ejpam-4168	171	1	1	CARDINAL
ejpam-4168	171	2	1	CARDINAL
ejpam-4168	171	3	3	CARDINAL
ejpam-4168	172	1	1 2	CARDINAL
ejpam-4168	172	2	1 2	CARDINAL
ejpam-4168	174	1	1 2	CARDINAL
ejpam-4168	175	1	1	CARDINAL
ejpam-4168	177	1	•	CARDINAL
ejpam-4168	177	2	3	CARDINAL
ejpam-4168	177	3	1 2	CARDINAL
ejpam-4168	179	1	1 2	CARDINAL
ejpam-4168	179	2	1	CARDINAL
ejpam-4168	179	3	2	CARDINAL
ejpam-4168	180	1	2	CARDINAL
ejpam-4168	180	2	4	CARDINAL
ejpam-4168	180	3	1	CARDINAL
ejpam-4168	180	4	2	DATE
ejpam-4168	180	5	1	CARDINAL
ejpam-4168	180	6	2	DATE
ejpam-4168	180	7	2a	CARDINAL
ejpam-4168	181	1	2	CARDINAL
ejpam-4168	182	1	2a	CARDINAL
ejpam-4168	183	1	1	CARDINAL
ejpam-4168	184	1	10a − 1	DATE
ejpam-4168	184	2	2a−	CARDINAL
ejpam-4168	184	3	5a	CARDINAL
ejpam-4168	184	4	2a−	CARDINAL
ejpam-4168	184	5	5a	CARDINAL
ejpam-4168	184	6	j.m.	GPE
ejpam-4168	184	7	r. isla	PERSON
ejpam-4168	185	1	j. pure	PERSON
ejpam-4168	185	2	14	CARDINAL
ejpam-4168	185	3	4	CARDINAL
ejpam-4168	185	4	2021	CARDINAL
ejpam-4168	185	5	1490	CARDINAL
ejpam-4168	186	1	1 2	CARDINAL
ejpam-4168	186	2	1 2(10a−1	CARDINAL
ejpam-4168	187	1	5a−	CARDINAL
ejpam-4168	188	1	1 2	CARDINAL
ejpam-4168	188	2	1 2	CARDINAL
ejpam-4168	189	1	1 2	CARDINAL
ejpam-4168	190	1	3a−2	CARDINAL
ejpam-4168	191	1	x2ax2a−1	PERSON
ejpam-4168	191	2	• •	DATE
ejpam-4168	191	3	4	CARDINAL
ejpam-4168	191	4	1 2	CARDINAL
ejpam-4168	192	1	1 2	CARDINAL
ejpam-4168	193	1	3a− 2	CARDINAL
ejpam-4168	193	2	2	CARDINAL
ejpam-4168	194	1	1	CARDINAL
ejpam-4168	194	2	1	CARDINAL
ejpam-4168	195	1	1	CARDINAL
ejpam-4168	195	2	1 2	CARDINAL
ejpam-4168	195	3	2m−2	TIME
ejpam-4168	196	1	1	CARDINAL
ejpam-4168	196	2	3a− 2)−	CARDINAL
ejpam-4168	196	3	2m− 2	DATE
ejpam-4168	196	4	2	CARDINAL
ejpam-4168	196	5	integer n ≥ 2	PRODUCT
ejpam-4168	196	6	5n	CARDINAL
ejpam-4168	196	7	∂α(g	GPE
ejpam-4168	197	1	3∂α(g)− 2	DATE
ejpam-4168	197	2	0	CARDINAL
ejpam-4168	197	3	1	CARDINAL
ejpam-4168	198	1	5	CARDINAL
ejpam-4168	199	1	xj	ORG
ejpam-4168	199	2	1	CARDINAL
ejpam-4168	199	3	2	DATE
ejpam-4168	199	4	1	CARDINAL
ejpam-4168	199	5	2	DATE
ejpam-4168	199	6	1	CARDINAL
ejpam-4168	199	7	∂α(g	GPE
ejpam-4168	200	1	1	CARDINAL
ejpam-4168	201	1	+ 2(∂α(g)− 1	CARDINAL
ejpam-4168	202	1	3∂α(g)− 2	DATE
ejpam-4168	283	1	u4 u5	PERSON
ejpam-4168	283	2	u2(n−1	ORG
ejpam-4168	285	1	• • • • • • • • • • • • •	DATE
ejpam-4168	285	2	5	CARDINAL
ejpam-4168	285	3	3a− 2	CARDINAL
ejpam-4168	288	1	j.m. cabulao	GPE
ejpam-4168	288	2	r. isla	PERSON
ejpam-4168	289	1	j. pure	PERSON
ejpam-4168	289	2	14	CARDINAL
ejpam-4168	289	3	4	CARDINAL
ejpam-4168	289	4	2021	CARDINAL
ejpam-4168	289	5	1490	CARDINAL
ejpam-4168	289	6	1	CARDINAL
ejpam-4168	291	1	0	CARDINAL
ejpam-4168	291	2	1	CARDINAL
ejpam-4168	291	3	k ∈	ORG
ejpam-4168	292	1	⊆	CARDINAL
ejpam-4168	292	2	g)|+ k.	PERSON
ejpam-4168	292	3	k(g	GPE
ejpam-4168	292	4	k(g	GPE
ejpam-4168	293	1	k(g	GPE
ejpam-4168	293	2	6	CARDINAL
ejpam-4168	295	1	k(g	GPE
ejpam-4168	296	1	3	CARDINAL
ejpam-4168	297	1	0	CARDINAL
ejpam-4168	297	2	1	CARDINAL
ejpam-4168	298	1	⊆	CARDINAL
ejpam-4168	299	1	at least one	CARDINAL
ejpam-4168	300	1	⊆	CARDINAL
ejpam-4168	300	2	1)n)-partial	CARDINAL
ejpam-4168	300	3	g. (ii	PERSON
ejpam-4168	301	1	⊆	CARDINAL
ejpam-4168	301	2	1)m)-partial	CARDINAL
ejpam-4168	301	3	3	CARDINAL
ejpam-4168	302	1	0	CARDINAL
ejpam-4168	302	2	1	CARDINAL
ejpam-4168	304	1	first	ORDINAL
ejpam-4168	305	1	2	CARDINAL
ejpam-4168	307	1	0	CARDINAL
ejpam-4168	307	2	1	CARDINAL
ejpam-4168	307	3	k ∈	ORG
ejpam-4168	308	1	⊆	CARDINAL
ejpam-4168	309	1	k(g	GPE
ejpam-4168	309	2	k(g	GPE
ejpam-4168	310	1	k(g	GPE
ejpam-4168	310	2	1	CARDINAL
ejpam-4168	310	3	12	CARDINAL
ejpam-4168	310	4	6	CARDINAL
ejpam-4168	311	1	2	CARDINAL
ejpam-4168	311	2	3	DATE
ejpam-4168	311	3	4	DATE
ejpam-4168	311	4	5	DATE
ejpam-4168	311	5	6	DATE
ejpam-4168	311	6	7	DATE
ejpam-4168	311	7	8	DATE
ejpam-4168	311	8	9	DATE
ejpam-4168	311	9	10	DATE
ejpam-4168	311	10	11	CARDINAL
ejpam-4168	311	11	1	CARDINAL
ejpam-4168	312	1	k ∈	ORG
ejpam-4168	312	2	1 2	CARDINAL
ejpam-4168	312	3	2	CARDINAL
ejpam-4168	312	4	3	DATE
ejpam-4168	312	5	4	DATE
ejpam-4168	312	6	5	CARDINAL
ejpam-4168	312	7	7, 8,	DATE
ejpam-4168	312	8	9	DATE
ejpam-4168	312	9	10	DATE
ejpam-4168	312	10	11	CARDINAL
ejpam-4168	312	11	12	CARDINAL
ejpam-4168	314	1	1,0(p12	ORDINAL
ejpam-4168	314	2	10	CARDINAL
ejpam-4168	314	3	4	CARDINAL
ejpam-4168	314	4	j.m. cabulao	PERSON
ejpam-4168	314	5	r. isla	PERSON
ejpam-4168	315	1	j. pure	PERSON
ejpam-4168	315	2	14	CARDINAL
ejpam-4168	315	3	4	CARDINAL
ejpam-4168	315	4	2021	CARDINAL
ejpam-4168	315	5	1490	CARDINAL
ejpam-4168	318	1	11 12	CARDINAL
ejpam-4168	318	2	6	CARDINAL
ejpam-4168	318	3	1,0(p12	ORDINAL
ejpam-4168	319	1	10	CARDINAL
ejpam-4168	319	2	4	CARDINAL
ejpam-4168	319	3	7	CARDINAL
ejpam-4168	320	1	0	CARDINAL
ejpam-4168	320	2	1	CARDINAL
ejpam-4168	320	3	k ∈	ORG
ejpam-4168	321	1	4	CARDINAL
ejpam-4168	322	1	0	CARDINAL
ejpam-4168	322	2	1	CARDINAL
ejpam-4168	323	1	⊆	CARDINAL
ejpam-4168	323	2	g+h	ORG
ejpam-4168	323	3	at least one	CARDINAL
ejpam-4168	323	4	⊆	CARDINAL
ejpam-4168	323	5	1)n)-partial	CARDINAL
ejpam-4168	323	6	⊆	CARDINAL
ejpam-4168	323	7	1)m)-partial	CARDINAL
ejpam-4168	323	8	⊆	CARDINAL
ejpam-4168	323	9	1	CARDINAL
ejpam-4168	323	10	g+h	ORG
ejpam-4168	324	1	3	CARDINAL
ejpam-4168	324	2	at least one	CARDINAL
ejpam-4168	325	1	⊆	CARDINAL
ejpam-4168	325	2	1)n)-partial	CARDINAL
ejpam-4168	326	1	⊆	CARDINAL
ejpam-4168	326	2	1)m)-partial	CARDINAL
ejpam-4168	327	1	g+h	ORG
ejpam-4168	327	2	⊆	CARDINAL
ejpam-4168	327	3	|ng+h	NORP
ejpam-4168	328	1	c]| = |ng[c]|+ n	ORG
ejpam-4168	329	1	1)n	DATE
ejpam-4168	330	1	1)n)-partial	CARDINAL
ejpam-4168	334	1	⊆	CARDINAL
ejpam-4168	334	2	7	CARDINAL
ejpam-4168	334	3	3	CARDINAL
ejpam-4168	334	4	⊆	CARDINAL
ejpam-4168	334	5	g+h	ORG
ejpam-4168	335	1	3	CARDINAL
ejpam-4168	335	2	⊆	CARDINAL
ejpam-4168	335	3	g+h	ORG
ejpam-4168	336	1	g+h	ORG
ejpam-4168	337	1	2	CARDINAL
ejpam-4168	338	1	∈	ORG
ejpam-4168	338	2	0	CARDINAL
ejpam-4168	338	3	1	CARDINAL
ejpam-4168	338	4	⊆	CARDINAL
ejpam-4168	338	5	g+h	ORG
ejpam-4168	339	1	⊆	CARDINAL
ejpam-4168	339	2	g. (ii	PERSON
ejpam-4168	339	3	⊆	CARDINAL
ejpam-4168	339	4	1	CARDINAL
ejpam-4168	340	1	g+h	ORG
ejpam-4168	341	1	j.m. cabulao	PERSON
ejpam-4168	341	2	r. isla	PERSON
ejpam-4168	342	1	j. pure	PERSON
ejpam-4168	342	2	14	CARDINAL
ejpam-4168	342	3	4	CARDINAL
ejpam-4168	342	4	2021	CARDINAL
ejpam-4168	342	5	1490	CARDINAL
ejpam-4168	343	1	6	CARDINAL
ejpam-4168	344	1	g+h	ORG
ejpam-4168	345	1	1)m	DATE
ejpam-4168	347	1	3	CARDINAL
ejpam-4168	348	1	0	CARDINAL
ejpam-4168	348	2	1	CARDINAL
ejpam-4168	350	1	1	CARDINAL
ejpam-4168	350	2	1 or	CARDINAL
ejpam-4168	350	3	1 2	CARDINAL
ejpam-4168	352	1	1	CARDINAL
ejpam-4168	357	1	1	CARDINAL
ejpam-4168	357	2	1	CARDINAL
ejpam-4168	358	1	1	CARDINAL
ejpam-4168	359	1	g+h	ORG
ejpam-4168	360	1	2	CARDINAL
ejpam-4168	360	2	5	CARDINAL
ejpam-4168	361	1	0	CARDINAL
ejpam-4168	361	2	1	CARDINAL
ejpam-4168	361	3	⊆	CARDINAL
ejpam-4168	362	1	⊆	CARDINAL
ejpam-4168	364	1	n+m	DATE
ejpam-4168	365	1	1)−m+m	CARDINAL
ejpam-4168	365	2	1	CARDINAL
ejpam-4168	366	1	⊆	CARDINAL
ejpam-4168	367	1	1	CARDINAL
ejpam-4168	368	1	h. j.m. cabulao	PERSON
ejpam-4168	368	2	r. isla	PERSON
ejpam-4168	369	1	j. pure	PERSON
ejpam-4168	369	2	14	CARDINAL
ejpam-4168	369	3	4	CARDINAL
ejpam-4168	369	4	2021	CARDINAL
ejpam-4168	369	5	1490	CARDINAL
ejpam-4168	369	6	1499	CARDINAL
ejpam-4168	369	7	2	CARDINAL
ejpam-4168	369	8	7	CARDINAL
ejpam-4168	370	1	1 2	CARDINAL
ejpam-4168	371	1	⊆	CARDINAL
ejpam-4168	371	2	⊆	CARDINAL
ejpam-4168	372	1	2	CARDINAL
ejpam-4168	372	2	2	CARDINAL
ejpam-4168	372	3	3 2	CARDINAL
ejpam-4168	372	4	αm(n+	CARDINAL
ejpam-4168	373	1	5	CARDINAL
ejpam-4168	416	1	................................................................................................................................	PERSON
ejpam-4168	446	1	w • • • •	EVENT
ejpam-4168	446	2	7	CARDINAL
ejpam-4168	446	3	1 2	DATE
ejpam-4168	446	4	8	CARDINAL
ejpam-4168	447	1	5	CARDINAL
ejpam-4168	448	1	8	CARDINAL
ejpam-4168	449	1	3 16	DATE
ejpam-4168	481	1	8	CARDINAL
ejpam-4168	481	2	3 16	CARDINAL
ejpam-4168	481	3	5	CARDINAL
ejpam-4168	482	1	0	CARDINAL
ejpam-4168	482	2	1	CARDINAL
ejpam-4168	483	1	j.m. cabulao	GPE
ejpam-4168	483	2	r. isla	PERSON
ejpam-4168	484	1	j. pure	PERSON
ejpam-4168	484	2	14	CARDINAL
ejpam-4168	484	3	4	CARDINAL
ejpam-4168	484	4	2021	CARDINAL
ejpam-4168	484	5	1490	CARDINAL
ejpam-4168	485	1	⊆	CARDINAL
ejpam-4168	485	2	′⟩	ORG
ejpam-4168	486	1	9	CARDINAL
ejpam-4168	487	1	4	CARDINAL
ejpam-4168	489	1	8	CARDINAL
ejpam-4168	489	2	9	DATE
ejpam-4168	489	3	10	CARDINAL
ejpam-4168	490	1	1 2	CARDINAL
ejpam-4168	490	2	3 8	DATE
ejpam-4168	491	1	9	CARDINAL
ejpam-4168	491	2	1 2	CARDINAL
ejpam-4168	491	3	2	CARDINAL
ejpam-4168	491	4	2	CARDINAL
ejpam-4168	491	5	3	CARDINAL
ejpam-4168	491	6	1 2	DATE
ejpam-4168	491	7	4	CARDINAL
ejpam-4168	491	8	6,	PERCENT
ejpam-4168	492	1	8	CARDINAL
ejpam-4168	492	2	3 8 , ∂cα(p4	DATE
ejpam-4168	493	1	1	CARDINAL
ejpam-4168	493	2	2	CARDINAL
ejpam-4168	493	3	3	CARDINAL
ejpam-4168	531	1	1 2	CARDINAL
ejpam-4168	531	2	9	CARDINAL
ejpam-4168	531	3	2	CARDINAL
ejpam-4168	531	4	1 2	DATE
ejpam-4168	581	1	1 2	CARDINAL
ejpam-4168	581	2	10	CARDINAL
ejpam-4168	581	3	1 2	CARDINAL
ejpam-4168	581	4	4	CARDINAL
ejpam-4168	581	5	1	CARDINAL
ejpam-4168	582	1	0	CARDINAL
ejpam-4168	582	2	1	CARDINAL
ejpam-4168	582	3	⋃	PERSON
ejpam-4168	582	4	⊆	CARDINAL
ejpam-4168	583	1	1	CARDINAL
ejpam-4168	584	1	1	CARDINAL
ejpam-4168	585	1	y ̸= z.	PERSON
ejpam-4168	588	1	j.	PERSON
ejpam-4168	591	1	tx	ORG
ejpam-4168	592	1	aj ∈ tx	PERSON
ejpam-4168	592	2	j. consequently	PERSON
ejpam-4168	593	1	a)-(x	NORP
ejpam-4168	593	2	aj	PERSON
ejpam-4168	594	1	2	CARDINAL
ejpam-4168	595	1	y ∈ s	PERSON
ejpam-4168	595	2	tx	ORG
ejpam-4168	595	3	w ∈	ORG
ejpam-4168	597	1	z)-(y	GPE
ejpam-4168	597	2	w	GPE
ejpam-4168	597	3	j.m. cabulao	GPE
ejpam-4168	597	4	r. isla	PERSON
ejpam-4168	598	1	j. pure	PERSON
ejpam-4168	598	2	14	CARDINAL
ejpam-4168	598	3	4	CARDINAL
ejpam-4168	598	4	2021	CARDINAL
ejpam-4168	598	5	1490-1506 1501	DATE
ejpam-4168	598	6	xj , yj	ORG
ejpam-4168	598	7	2	CARDINAL
ejpam-4168	600	1	2	CARDINAL
ejpam-4168	605	1	xj , yj	ORG
ejpam-4168	605	2	j.	PERSON
ejpam-4168	606	1	6	CARDINAL
ejpam-4168	607	1	∈	ORG
ejpam-4168	607	2	0	CARDINAL
ejpam-4168	607	3	1	CARDINAL
ejpam-4168	608	1	⋃	PERSON
ejpam-4168	608	2	x}× tx	PERSON
ejpam-4168	608	3	⊆	CARDINAL
ejpam-4168	610	1	g[h	ORG
ejpam-4168	611	1	tx	ORG
ejpam-4168	611	2	g[h	ORG
ejpam-4168	612	1	2	CARDINAL
ejpam-4168	613	1	g[h	ORG
ejpam-4168	614	1	|ng[h][c]|	CARDINAL
ejpam-4168	614	2	|nh	PERSON
ejpam-4168	615	1	1	CARDINAL
ejpam-4168	616	1	1	CARDINAL
ejpam-4168	617	1	tx	ORG
ejpam-4168	617	2	|ng[h][c]|	CARDINAL
ejpam-4168	617	3	|nh	PERSON
ejpam-4168	618	1	tx	ORG
ejpam-4168	619	1	g[h	ORG
ejpam-4168	620	1	1	CARDINAL
ejpam-4168	621	1	g[h	ORG
ejpam-4168	626	1	j.m.	GPE
ejpam-4168	626	2	r. isla	PERSON
ejpam-4168	627	1	j. pure	PERSON
ejpam-4168	627	2	14	CARDINAL
ejpam-4168	627	3	4	CARDINAL
ejpam-4168	627	4	2021	CARDINAL
ejpam-4168	627	5	1490	CARDINAL
ejpam-4168	630	1	2	CARDINAL
ejpam-4168	630	2	1	CARDINAL
ejpam-4168	631	1	∈	ORG
ejpam-4168	633	1	⊆	CARDINAL
ejpam-4168	634	1	⊆	CARDINAL
ejpam-4168	636	1	|ng[h][c]|	CARDINAL
ejpam-4168	637	1	1	CARDINAL
ejpam-4168	638	1	1	CARDINAL
ejpam-4168	639	1	|ng[h][c]|	CARDINAL
ejpam-4168	639	2	g[h	ORG
ejpam-4168	640	1	10	CARDINAL
ejpam-4168	641	1	two	CARDINAL
ejpam-4168	641	2	6(i	DATE
ejpam-4168	642	1	11	CARDINAL
ejpam-4168	642	2	12	CARDINAL
ejpam-4168	643	1	1 2	CARDINAL
ejpam-4168	644	1	|np6[p7][c]|	CARDINAL
ejpam-4168	644	2	20	CARDINAL
ejpam-4168	645	1	11	CARDINAL
ejpam-4168	645	2	10	CARDINAL
ejpam-4168	646	1	tx	ORG
ejpam-4168	646	2	h. ................................................................................................................	GPE
ejpam-4168	886	1	11	CARDINAL
ejpam-4168	886	2	tx	ORG
ejpam-4168	886	3	1 2	CARDINAL
ejpam-4168	886	4	j.m.	GPE
ejpam-4168	886	5	r. isla	PERSON
ejpam-4168	887	1	j. pure	PERSON
ejpam-4168	887	2	14	CARDINAL
ejpam-4168	887	3	4	CARDINAL
ejpam-4168	887	4	2021	CARDINAL
ejpam-4168	887	5	1490-1506 1503	DATE
ejpam-4168	940	1	•	CARDINAL
ejpam-4168	940	2	12	CARDINAL
ejpam-4168	940	3	1 2	CARDINAL
ejpam-4168	941	1	0	CARDINAL
ejpam-4168	941	2	1	CARDINAL
ejpam-4168	942	1	∂α(g	PERSON
ejpam-4168	942	2	1	CARDINAL
ejpam-4168	942	3	1 ≤	QUANTITY
ejpam-4168	943	1	2	CARDINAL
ejpam-4168	944	1	∂α(g	GPE
ejpam-4168	944	2	1	CARDINAL
ejpam-4168	944	3	xy ∈	PERSON
ejpam-4168	946	1	|ng[h][c]|	CARDINAL
ejpam-4168	948	1	g[h	ORG
ejpam-4168	949	1	2	CARDINAL
ejpam-4168	949	2	1	CARDINAL
ejpam-4168	949	3	5	CARDINAL
ejpam-4168	949	4	∂cα(g	PERSON
ejpam-4168	949	5	2	CARDINAL
ejpam-4168	950	1	⋃	PERSON
ejpam-4168	950	2	⊆	CARDINAL
ejpam-4168	951	1	2	CARDINAL
ejpam-4168	952	1	11	CARDINAL
ejpam-4168	953	1	5	CARDINAL
ejpam-4168	953	2	∂α(g	PERSON
ejpam-4168	953	3	1	CARDINAL
ejpam-4168	954	1	11	CARDINAL
ejpam-4168	954	2	12	CARDINAL
ejpam-4168	955	1	1 2	CARDINAL
ejpam-4168	956	1	= ∂α(p5	PERSON
ejpam-4168	957	1	1	CARDINAL
ejpam-4168	957	2	2	CARDINAL
ejpam-4168	957	3	1	CARDINAL
ejpam-4168	958	1	0	CARDINAL
ejpam-4168	958	2	1	CARDINAL
ejpam-4168	963	1	j.m.	GPE
ejpam-4168	963	2	r. isla	PERSON
ejpam-4168	964	1	j. pure	PERSON
ejpam-4168	964	2	14	CARDINAL
ejpam-4168	964	3	4	CARDINAL
ejpam-4168	964	4	2021	CARDINAL
ejpam-4168	964	5	1490	CARDINAL
ejpam-4168	966	1	1	CARDINAL
ejpam-4168	966	2	2	CARDINAL
ejpam-4168	967	1	xy /∈ e(g	PERSON
ejpam-4168	968	1	∈	ORG
ejpam-4168	968	2	∈	ORG
ejpam-4168	970	1	aj	PERSON
ejpam-4168	970	2	∈	ORG
ejpam-4168	971	1	⊆	CARDINAL
ejpam-4168	971	2	1	CARDINAL
ejpam-4168	972	1	∈	ORG
ejpam-4168	972	2	∈	ORG
ejpam-4168	973	1	ab ∈ e(h	ORG
ejpam-4168	974	1	ab /∈ e(h	ORG
ejpam-4168	975	1	2	CARDINAL
ejpam-4168	978	1	∈	ORG
ejpam-4168	978	2	i.	PERSON
ejpam-4168	980	1	xr	ORG
ejpam-4168	980	2	∈	ORG
ejpam-4168	980	3	j. hence	PERSON
ejpam-4168	980	4	⊆	CARDINAL
ejpam-4168	980	5	7	CARDINAL
ejpam-4168	981	1	0	CARDINAL
ejpam-4168	981	2	1	CARDINAL
ejpam-4168	982	1	∂cα(g□h	PERSON
ejpam-4168	982	2	∂cα(g	PERSON
ejpam-4168	983	1	12	CARDINAL
ejpam-4168	984	1	6	CARDINAL
ejpam-4168	986	1	13	CARDINAL
ejpam-4168	986	2	14	DATE
ejpam-4168	987	1	1 2	CARDINAL
ejpam-4168	988	1	∂cα(p4	DATE
ejpam-4168	988	2	4	CARDINAL
ejpam-4168	988	3	4	CARDINAL
ejpam-4168	988	4	1	DATE
ejpam-4168	988	5	6	CARDINAL
ejpam-4168	988	6	1	CARDINAL
ejpam-4168	988	7	∂cα(p4	DATE
ejpam-4168	988	8	3 = min	TIME
ejpam-4168	988	9	6	CARDINAL
ejpam-4168	988	10	1	DATE
ejpam-4168	988	11	3	CARDINAL
ejpam-4168	988	12	1	CARDINAL
ejpam-4168	988	13	10	CARDINAL
ejpam-4168	988	14	7	CARDINAL
ejpam-4168	988	15	2	DATE
ejpam-4168	988	16	8	CARDINAL
ejpam-4168	988	17	2	CARDINAL
ejpam-4168	989	1	j.m. cabulao	PERSON
ejpam-4168	989	2	r. isla	PERSON
ejpam-4168	990	1	j. pure	PERSON
ejpam-4168	990	2	14	CARDINAL
ejpam-4168	990	3	4	CARDINAL
ejpam-4168	990	4	2021	CARDINAL
ejpam-4168	990	5	1490	CARDINAL
ejpam-4168	1069	1	13	CARDINAL
ejpam-4168	1069	2	∂cα(p4	DATE
ejpam-4168	1069	3	4	CARDINAL
ejpam-4168	1069	4	3	CARDINAL
ejpam-4168	1069	5	1 2	CARDINAL
ejpam-4168	1183	1	•	CARDINAL
ejpam-4168	1183	2	14	CARDINAL
ejpam-4168	1183	3	10	CARDINAL
ejpam-4168	1183	4	1 2	CARDINAL
ejpam-4168	1183	5	the philippine department of science and technology	ORG
ejpam-4168	1183	6	dostasthrdp	ORG
ejpam-4168	1183	7	msu-iligan institute of technology	ORG
ejpam-4168	1185	1	1506	CARDINAL
ejpam-4168	1185	2	1	CARDINAL
ejpam-4168	1185	3	a. behzad	PERSON
ejpam-4168	1186	1	m. bezhad	PERSON
ejpam-4168	1186	2	c. praeger	PERSON
ejpam-4168	1188	1	arxiv: combinatorics	ORG
ejpam-4168	1188	2	2008	DATE
ejpam-4168	1189	1	2	CARDINAL
ejpam-4168	1189	2	a. hansberg	PERSON
ejpam-4168	1191	1	filomat	ORG
ejpam-4168	1191	2	31(12):3925–3944	DATE
ejpam-4168	1191	3	2017	DATE
ejpam-4168	1192	1	3	CARDINAL
ejpam-4168	1192	2	a. das	PERSON
ejpam-4168	1193	1	arxiv: combinatorics	ORG
ejpam-4168	1193	2	2017	DATE
ejpam-4168	1194	1	4	CARDINAL
ejpam-4168	1194	2	w. duckworth	PERSON
ejpam-4168	1196	1	309(8):2305–2322	DATE
ejpam-4168	1196	2	2009	DATE
ejpam-4168	1197	1	5	CARDINAL
ejpam-4168	1197	2	s. kaspar	PERSON
ejpam-4168	1198	1	b. gayathri	PERSON
ejpam-4168	1198	2	m.p. kulandaivel	PERSON
ejpam-4168	1198	3	n. shobanadevi	PERSON
ejpam-4168	1200	1	117(14):53–62	CARDINAL
ejpam-4168	1200	2	2017	DATE
ejpam-4168	1201	1	6	CARDINAL
ejpam-4168	1202	1	s. hedetneimi	PERSON
ejpam-4168	1202	2	slater	PERSON
ejpam-4168	1204	1	marcel dekker	PERSON
ejpam-4168	1204	2	new york	GPE
ejpam-4168	1204	3	1998	DATE
ejpam-4168	1205	1	7	CARDINAL
ejpam-4168	1205	2	r. macapodi	PERSON
ejpam-4168	1206	1	r. isla	PERSON
ejpam-4168	1206	2	s. r. canoy jr.	PERSON
ejpam-4168	1206	3	cartesian	NORP
ejpam-4168	1207	1	20:277–293	CARDINAL
ejpam-4168	1207	2	2019	DATE
ejpam-4168	1208	1	8	CARDINAL
ejpam-4168	1208	2	h. karami	PERSON
ejpam-4168	1209	1	s.m.	GPE
ejpam-4168	1210	1	a. khodkar	PERSON
ejpam-4168	1210	2	d. west.	GPE
ejpam-4168	1212	1	combinatorics	ORG
ejpam-4168	1212	2	28:123–131	CARDINAL
ejpam-4168	1212	3	2012	DATE
ejpam-4168	1213	1	9	CARDINAL
ejpam-4168	1213	2	b. m.	PERSON
ejpam-4168	1214	1	s.t	PERSON
ejpam-4168	1214	2	hedetniemi	PERSON
ejpam-4168	1215	1	r.c. laskar	PERSON
ejpam-4168	1215	2	d.j. lipman.	ORG
ejpam-4168	1217	1	arxiv: combinatorics	ORG
ejpam-4168	1217	2	2017	DATE
ejpam-4168	1218	1	10	CARDINAL
ejpam-4168	1218	2	r. macapodi	PERSON
ejpam-4168	1218	3	r. isla	PERSON
ejpam-4168	1220	1	european journal	ORG
ejpam-4168	1220	2	12(4):1643–1655	CARDINAL
ejpam-4168	1220	3	2019	DATE
ejpam-4168	1221	1	11	CARDINAL
ejpam-4168	1221	2	g. mahalingam	PERSON
ejpam-4168	1223	1	phd thesis	PERSON
ejpam-4168	1223	2	university of south florida	ORG
ejpam-4168	1223	3	2005	DATE
ejpam-4168	1224	1	12	CARDINAL
ejpam-4168	1224	2	e. sampathkumar	PERSON
ejpam-4168	1224	3	walikar	PERSON
ejpam-4168	1226	1	jour	PERSON
ejpam-4168	1227	1	phy	ORG
ejpam-4168	1228	1	sci.	ORG
ejpam-4168	1228	2	13(6):607–613, 1979	DATE
ejpam-4168	1229	1	13	CARDINAL
ejpam-4168	1229	2	j. blum	PERSON
ejpam-4168	1229	3	m. ding.	PERSON
ejpam-4168	1230	1	a. thaeler	PERSON
ejpam-4168	1230	2	x. cheng	PERSON
ejpam-4168	1232	1	d. du	GPE
ejpam-4168	1233	1	springer, boston	ORG
ejpam-4168	1233	2	ma	GPE
ejpam-4168	1233	3	2004	DATE