id	sid	eid	entity	type
ejpam-4610	1	1	european journal	ORG
ejpam-4610	2	1	16	CARDINAL
ejpam-4610	2	2	1	CARDINAL
ejpam-4610	2	3	2023	CARDINAL
ejpam-4610	2	4	192	CARDINAL
ejpam-4610	2	5	1307-5543	CARDINAL
ejpam-4610	2	6	new york	GPE
ejpam-4610	2	7	maria andrea	PERSON
ejpam-4610	2	8	1	CARDINAL
ejpam-4610	3	1	ferdinand p.	PERSON
ejpam-4610	3	2	jamil 2 1	ORG
ejpam-4610	3	3	mindanao state university-iligan institute of technology	ORG
ejpam-4610	3	4	9200	CARDINAL
ejpam-4610	3	5	iligan city	GPE
ejpam-4610	3	6	philippines 2 department	ORG
ejpam-4610	3	7	mindanao state university-iligan institute of technology	ORG
ejpam-4610	3	8	9200	CARDINAL
ejpam-4610	3	9	iligan city	GPE
ejpam-4610	3	10	philippines	GPE
ejpam-4610	4	1	letg	PERSON
ejpam-4610	5	1	⊆	CARDINAL
ejpam-4610	5	2	∈	PERSON
ejpam-4610	6	1	2	CARDINAL
ejpam-4610	9	1	first	ORDINAL
ejpam-4610	9	2	n or n − 1	ORG
ejpam-4610	10	1	2	CARDINAL
ejpam-4610	10	2	3a	CARDINAL
ejpam-4610	11	1	2 ≤	MONEY
ejpam-4610	12	1	two	CARDINAL
ejpam-4610	13	1	2020	DATE
ejpam-4610	13	2	05c69	CARDINAL
ejpam-4610	13	3	1	CARDINAL
ejpam-4610	13	4	16	CARDINAL
ejpam-4610	13	5	1958	DATE
ejpam-4610	13	6	c. berge	PERSON
ejpam-4610	14	1	2	CARDINAL
ejpam-4610	14	2	1962	DATE
ejpam-4610	16	1	at least one	CARDINAL
ejpam-4610	17	1	the last 30 years	DATE
ejpam-4610	18	1	1991	DATE
ejpam-4610	18	2	t. andreae	ORG
ejpam-4610	19	1	21	CARDINAL
ejpam-4610	20	1	https://doi.org/10.29020/nybg.ejpam.v16i1.4610	NORP
ejpam-4610	20	2	ferdinand.jamil@g.msuiit.edu.ph	ORG
ejpam-4610	20	3	f. jamil	PERSON
ejpam-4610	21	1	192	CARDINAL
ejpam-4610	21	2	2023	CARDINAL
ejpam-4610	22	1	m.a	PERSON
ejpam-4610	22	2	bonsocan	NORP
ejpam-4610	22	3	f. jamil	PERSON
ejpam-4610	23	1	j. pure	PERSON
ejpam-4610	23	2	16	CARDINAL
ejpam-4610	23	3	1	CARDINAL
ejpam-4610	23	4	2023	CARDINAL
ejpam-4610	23	5	192	CARDINAL
ejpam-4610	23	6	1996	DATE
ejpam-4610	23	7	5	CARDINAL
ejpam-4610	24	1	6	CARDINAL
ejpam-4610	24	2	20	DATE
ejpam-4610	24	3	22	CARDINAL
ejpam-4610	25	1	a. alwardi et al.[18	PERSON
ejpam-4610	25	2	19	CARDINAL
ejpam-4610	28	1	3	CARDINAL
ejpam-4610	30	1	⊆	CARDINAL
ejpam-4610	30	2	two	CARDINAL
ejpam-4610	31	1	∈	ORG
ejpam-4610	32	1	one	CARDINAL
ejpam-4610	34	1	∈	ORG
ejpam-4610	35	1	∈	ORG
ejpam-4610	35	2	two	CARDINAL
ejpam-4610	35	3	∈	ORG
ejpam-4610	37	1	max{dg(u	TIME
ejpam-4610	37	2	∈	ORG
ejpam-4610	39	1	⊆	CARDINAL
ejpam-4610	39	2	s. if ng[s	PERSON
ejpam-4610	39	3	ng(s	ORG
ejpam-4610	42	1	γ(g	NORP
ejpam-4610	42	2	γt(g	ORG
ejpam-4610	47	1	4	CARDINAL
ejpam-4610	47	2	7–12	DATE
ejpam-4610	47	3	14	CARDINAL
ejpam-4610	48	1	two	CARDINAL
ejpam-4610	48	2	2	CARDINAL
ejpam-4610	48	3	2	CARDINAL
ejpam-4610	48	4	∈	ORG
ejpam-4610	48	5	2	CARDINAL
ejpam-4610	48	6	tong[u	CARDINAL
ejpam-4610	48	7	2	CARDINAL
ejpam-4610	49	1	⊆	CARDINAL
ejpam-4610	49	2	2	CARDINAL
ejpam-4610	49	3	2	CARDINAL
ejpam-4610	49	4	2	CARDINAL
ejpam-4610	49	5	2	CARDINAL
ejpam-4610	50	1	2	CARDINAL
ejpam-4610	50	2	2	CARDINAL
ejpam-4610	53	1	γth(g	PERSON
ejpam-4610	56	1	γth(g	PERSON
ejpam-4610	58	1	15	CARDINAL
ejpam-4610	58	2	17	CARDINAL
ejpam-4610	59	1	m.a	PERSON
ejpam-4610	59	2	bonsocan	NORP
ejpam-4610	59	3	f. jamil	PERSON
ejpam-4610	60	1	j. pure	PERSON
ejpam-4610	60	2	16	CARDINAL
ejpam-4610	60	3	1	CARDINAL
ejpam-4610	60	4	2023	CARDINAL
ejpam-4610	60	5	192	CARDINAL
ejpam-4610	60	6	⊆	CARDINAL
ejpam-4610	60	7	1	CARDINAL
ejpam-4610	61	1	1	CARDINAL
ejpam-4610	62	1	1	CARDINAL
ejpam-4610	63	1	1	CARDINAL
ejpam-4610	63	2	1	CARDINAL
ejpam-4610	64	1	1	CARDINAL
ejpam-4610	64	2	1	CARDINAL
ejpam-4610	65	1	1	CARDINAL
ejpam-4610	65	2	2)∗	CARDINAL
ejpam-4610	67	1	1	CARDINAL
ejpam-4610	67	2	1	CARDINAL
ejpam-4610	67	3	1	CARDINAL
ejpam-4610	68	1	pnd	ORG
ejpam-4610	69	1	∈	PERSON
ejpam-4610	70	1	1	CARDINAL
ejpam-4610	74	1	2	CARDINAL
ejpam-4610	74	2	1	CARDINAL
ejpam-4610	78	1	n ≥ 3	DATE
ejpam-4610	80	1	g = kn	PERSON
ejpam-4610	80	2	1	CARDINAL
ejpam-4610	80	3	2	DATE
ejpam-4610	80	4	n ≥ 3	DATE
ejpam-4610	82	1	∈	ORG
ejpam-4610	82	2	2	CARDINAL
ejpam-4610	84	1	⊆	CARDINAL
ejpam-4610	84	2	∈	ORG
ejpam-4610	85	1	w ∈	PERSON
ejpam-4610	85	2	w ̸=	ORG
ejpam-4610	85	3	w ∈ s	PERSON
ejpam-4610	86	1	1	CARDINAL
ejpam-4610	88	1	n ≥ 3	DATE
ejpam-4610	92	1	1	CARDINAL
ejpam-4610	92	2	4	CARDINAL
ejpam-4610	93	1	n ≥ 5	DATE
ejpam-4610	94	1	∈	ORG
ejpam-4610	94	2	4	CARDINAL
ejpam-4610	95	1	2	CARDINAL
ejpam-4610	97	1	1	CARDINAL
ejpam-4610	98	1	3	CARDINAL
ejpam-4610	98	2	n ≥ 4	ORG
ejpam-4610	100	1	u	ORG
ejpam-4610	100	2	w	GPE
ejpam-4610	101	1	wy	GPE
ejpam-4610	101	2	bonsocan	NORP
ejpam-4610	101	3	f. jamil	PERSON
ejpam-4610	102	1	j. pure	PERSON
ejpam-4610	102	2	16	CARDINAL
ejpam-4610	102	3	1	CARDINAL
ejpam-4610	102	4	2023	CARDINAL
ejpam-4610	102	5	192	CARDINAL
ejpam-4610	102	6	2	CARDINAL
ejpam-4610	105	1	2 ≤	QUANTITY
ejpam-4610	106	1	2	CARDINAL
ejpam-4610	107	1	yv ∈	PERSON
ejpam-4610	109	1	2	CARDINAL
ejpam-4610	109	2	2	CARDINAL
ejpam-4610	110	1	n ≥ 3	ORG
ejpam-4610	111	1	∈	ORG
ejpam-4610	111	2	2	CARDINAL
ejpam-4610	112	1	first	ORDINAL
ejpam-4610	112	2	∈	ORG
ejpam-4610	113	1	3 i.e.	DATE
ejpam-4610	114	1	n ≥ 4	ORG
ejpam-4610	115	1	w	GPE
ejpam-4610	115	2	w	GPE
ejpam-4610	117	1	2	CARDINAL
ejpam-4610	118	1	2.1	CARDINAL
ejpam-4610	118	2	w.	PERSON
ejpam-4610	118	3	w	GPE
ejpam-4610	118	4	2	CARDINAL
ejpam-4610	119	1	2.2	CARDINAL
ejpam-4610	119	2	wy	GPE
ejpam-4610	120	1	2	CARDINAL
ejpam-4610	121	1	2.3	CARDINAL
ejpam-4610	121	2	w	GPE
ejpam-4610	121	3	2	CARDINAL
ejpam-4610	121	4	y-w	ORG
ejpam-4610	121	5	z.	PERSON
ejpam-4610	121	6	2	CARDINAL
ejpam-4610	128	1	2	CARDINAL
ejpam-4610	129	1	first	ORDINAL
ejpam-4610	130	1	z.	PERSON
ejpam-4610	131	1	2	CARDINAL
ejpam-4610	133	1	g = ⟨{u	PERSON
ejpam-4610	134	1	1	CARDINAL
ejpam-4610	137	1	gm	ORG
ejpam-4610	138	1	1≤k≤m	CARDINAL
ejpam-4610	141	1	1	CARDINAL
ejpam-4610	141	2	2	DATE
ejpam-4610	142	1	gk	PERSON
ejpam-4610	143	1	1	CARDINAL
ejpam-4610	143	2	2	DATE
ejpam-4610	147	1	j=1,j ̸=k	PERSON
ejpam-4610	148	1	m.a	PERSON
ejpam-4610	148	2	bonsocan	NORP
ejpam-4610	148	3	f. jamil	PERSON
ejpam-4610	149	1	j. pure	PERSON
ejpam-4610	149	2	16	CARDINAL
ejpam-4610	149	3	1	CARDINAL
ejpam-4610	149	4	2023	CARDINAL
ejpam-4610	149	5	192	CARDINAL
ejpam-4610	151	1	gk	PERSON
ejpam-4610	151	2	1	CARDINAL
ejpam-4610	151	3	2	DATE
ejpam-4610	154	1	at least one	CARDINAL
ejpam-4610	154	2	1	CARDINAL
ejpam-4610	154	3	2	DATE
ejpam-4610	156	1	1	CARDINAL
ejpam-4610	156	2	2	DATE
ejpam-4610	158	1	k=1sk	PERSON
ejpam-4610	158	2	k=1tk	PERSON
ejpam-4610	159	1	k=1 |tk| ≥	PERSON
ejpam-4610	159	2	min1≤k≤m{γ̂h(gk	GPE
ejpam-4610	160	1	j=1,j ̸=k	PERSON
ejpam-4610	161	1	2	CARDINAL
ejpam-4610	163	1	4 ≤	QUANTITY
ejpam-4610	167	1	2 ≤	QUANTITY
ejpam-4610	167	2	2 ≤	QUANTITY
ejpam-4610	167	3	4 ≤	QUANTITY
ejpam-4610	169	1	g = kn	PERSON
ejpam-4610	170	1	3	CARDINAL
ejpam-4610	170	2	2	CARDINAL
ejpam-4610	170	3	1 ≤ m1 ≤ m2 ≤	QUANTITY
ejpam-4610	171	1	k ≥ 2.	ORG
ejpam-4610	173	1	1	CARDINAL
ejpam-4610	174	1	n ≥ 1	DATE
ejpam-4610	174	2	1 +min{m	DATE
ejpam-4610	177	1	uk	GPE
ejpam-4610	177	2	|ui|	NORP
ejpam-4610	177	3	1	CARDINAL
ejpam-4610	177	4	2	DATE
ejpam-4610	180	1	⊆	CARDINAL
ejpam-4610	181	1	1	CARDINAL
ejpam-4610	181	2	1	CARDINAL
ejpam-4610	181	3	2	DATE
ejpam-4610	184	1	⊆	CARDINAL
ejpam-4610	185	1	∪k j=1;j ̸=isj	MONEY
ejpam-4610	185	2	1	CARDINAL
ejpam-4610	185	3	2	DATE
ejpam-4610	186	1	⊆	CARDINAL
ejpam-4610	187	1	3	CARDINAL
ejpam-4610	188	1	2	CARDINAL
ejpam-4610	188	2	3	CARDINAL
ejpam-4610	188	3	6r	CARDINAL
ejpam-4610	188	4	2r	CARDINAL
ejpam-4610	189	1	+ 1	DATE
ejpam-4610	189	2	6r	CARDINAL
ejpam-4610	190	1	2	CARDINAL
ejpam-4610	190	2	3	DATE
ejpam-4610	190	3	4	DATE
ejpam-4610	190	4	5	CARDINAL
ejpam-4610	194	1	4	DATE
ejpam-4610	194	2	5	DATE
ejpam-4610	196	1	0 ≤	MONEY
ejpam-4610	199	1	v6r−3	ORG
ejpam-4610	200	1	0	CARDINAL
ejpam-4610	201	1	2r	CARDINAL
ejpam-4610	202	1	1	CARDINAL
ejpam-4610	204	1	2r	CARDINAL
ejpam-4610	205	1	+ 1	DATE
ejpam-4610	205	2	2	CARDINAL
ejpam-4610	205	3	3	DATE
ejpam-4610	205	4	4	DATE
ejpam-4610	205	5	5	CARDINAL
ejpam-4610	208	1	2r	CARDINAL
ejpam-4610	209	1	m.a.	PERSON
ejpam-4610	209	2	bonsocan	NORP
ejpam-4610	209	3	f. jamil	PERSON
ejpam-4610	210	1	j. pure	PERSON
ejpam-4610	210	2	16	CARDINAL
ejpam-4610	210	3	1	CARDINAL
ejpam-4610	210	4	2023	CARDINAL
ejpam-4610	210	5	192	CARDINAL
ejpam-4610	210	6	4	CARDINAL
ejpam-4610	211	1	3	CARDINAL
ejpam-4610	211	2	4	CARDINAL
ejpam-4610	211	3	6r	CARDINAL
ejpam-4610	211	4	6r	CARDINAL
ejpam-4610	211	5	2	CARDINAL
ejpam-4610	211	6	3	DATE
ejpam-4610	211	7	4	DATE
ejpam-4610	211	8	5	CARDINAL
ejpam-4610	215	1	4	CARDINAL
ejpam-4610	215	2	5	DATE
ejpam-4610	217	1	0 ≤	MONEY
ejpam-4610	220	1	v6r−3	ORG
ejpam-4610	221	1	s∪{vn−2	ORG
ejpam-4610	221	2	s∪{vn−2	ORG
ejpam-4610	221	3	vn−3	ORG
ejpam-4610	221	4	0	CARDINAL
ejpam-4610	221	5	1	CARDINAL
ejpam-4610	221	6	2	CARDINAL
ejpam-4610	221	7	3	CARDINAL
ejpam-4610	221	8	4	CARDINAL
ejpam-4610	221	9	5	CARDINAL
ejpam-4610	222	1	2r	CARDINAL
ejpam-4610	226	1	2	CARDINAL
ejpam-4610	230	1	1	CARDINAL
ejpam-4610	230	2	2	DATE
ejpam-4610	230	3	3	CARDINAL
ejpam-4610	234	1	1	CARDINAL
ejpam-4610	234	2	2	DATE
ejpam-4610	236	1	vi	PERSON
ejpam-4610	236	2	1	CARDINAL
ejpam-4610	236	3	4	CARDINAL
ejpam-4610	237	1	{vi	PERSON
ejpam-4610	259	1	v1 v2	PERSON
ejpam-4610	260	1	x12	DATE
ejpam-4610	265	1	1	CARDINAL
ejpam-4610	265	2	a2	ORG
ejpam-4610	266	1	m. proposition	PERSON
ejpam-4610	266	2	6	CARDINAL
ejpam-4610	267	1	6	CARDINAL
ejpam-4610	268	1	x3	GPE
ejpam-4610	268	2	x4	GPE
ejpam-4610	268	3	x3	GPE
ejpam-4610	268	4	x4	PERSON
ejpam-4610	269	1	xixj ∈ e(p	ORG
ejpam-4610	270	1	1	CARDINAL
ejpam-4610	270	2	2	DATE
ejpam-4610	271	1	5	CARDINAL
ejpam-4610	271	2	xj	GPE
ejpam-4610	271	3	yj	PERSON
ejpam-4610	272	1	xi)∪np	PERSON
ejpam-4610	273	1	xi)∪np	PERSON
ejpam-4610	274	1	γ̂h(p	NORP
ejpam-4610	274	2	6	CARDINAL
ejpam-4610	275	1	m.a	PERSON
ejpam-4610	275	2	bonsocan	NORP
ejpam-4610	275	3	f. jamil	PERSON
ejpam-4610	276	1	j. pure	PERSON
ejpam-4610	276	2	16	CARDINAL
ejpam-4610	276	3	1	CARDINAL
ejpam-4610	276	4	2023	CARDINAL
ejpam-4610	276	5	192	CARDINAL
ejpam-4610	277	1	1	CARDINAL
ejpam-4610	277	2	2s−	CARDINAL
ejpam-4610	277	3	1	CARDINAL
ejpam-4610	277	4	1	CARDINAL
ejpam-4610	279	1	2	CARDINAL
ejpam-4610	280	1	2	CARDINAL
ejpam-4610	281	1	a2k−1	ORG
ejpam-4610	281	2	1	CARDINAL
ejpam-4610	281	3	2	DATE
ejpam-4610	282	1	1	CARDINAL
ejpam-4610	282	2	2	DATE
ejpam-4610	284	1	n−2s−	CARDINAL
ejpam-4610	286	1	uk	GPE
ejpam-4610	286	2	1	CARDINAL
ejpam-4610	286	3	2	DATE
ejpam-4610	289	1	1	CARDINAL
ejpam-4610	289	2	wi	ORG
ejpam-4610	289	3	i ≥ 1	DATE
ejpam-4610	290	1	2	CARDINAL
ejpam-4610	291	1	1	CARDINAL
ejpam-4610	292	1	wi	ORG
ejpam-4610	292	2	i ≥ 1	DATE
ejpam-4610	293	1	2	CARDINAL
ejpam-4610	321	1	u2 v2	PERSON
ejpam-4610	321	2	2	CARDINAL
ejpam-4610	321	3	firefly	ORG
ejpam-4610	321	4	f2,3,3 4.	ORG
ejpam-4610	321	5	3	CARDINAL
ejpam-4610	322	1	two	CARDINAL
ejpam-4610	322	2	2	CARDINAL
ejpam-4610	322	3	3a	CARDINAL
ejpam-4610	324	1	0	CARDINAL
ejpam-4610	326	1	2 + x	QUANTITY
ejpam-4610	326	2	3	CARDINAL
ejpam-4610	326	3	4	CARDINAL
ejpam-4610	326	4	3	CARDINAL
ejpam-4610	331	1	3	CARDINAL
ejpam-4610	331	2	4	CARDINAL
ejpam-4610	331	3	3	CARDINAL
ejpam-4610	331	4	15	CARDINAL
ejpam-4610	331	5	2	CARDINAL
ejpam-4610	332	1	3	CARDINAL
ejpam-4610	332	2	3 m.a	QUANTITY
ejpam-4610	332	3	bonsocan	NORP
ejpam-4610	332	4	f. jamil	PERSON
ejpam-4610	333	1	j. pure	PERSON
ejpam-4610	333	2	16	CARDINAL
ejpam-4610	333	3	1	CARDINAL
ejpam-4610	333	4	2023	CARDINAL
ejpam-4610	333	5	192	CARDINAL
ejpam-4610	333	6	∈	ORG
ejpam-4610	333	7	hu	PERSON
ejpam-4610	333	8	∈	ORG
ejpam-4610	334	1	4	CARDINAL
ejpam-4610	335	1	2 ≤	MONEY
ejpam-4610	337	1	1	CARDINAL
ejpam-4610	338	1	4	CARDINAL
ejpam-4610	339	1	l(a	GPE
ejpam-4610	339	2	3	CARDINAL
ejpam-4610	339	3	yizi	PERSON
ejpam-4610	339	4	wi	ORG
ejpam-4610	340	1	1	CARDINAL
ejpam-4610	340	2	2	DATE
ejpam-4610	341	1	k ∈	PERSON
ejpam-4610	341	2	1	CARDINAL
ejpam-4610	341	3	2	DATE
ejpam-4610	343	1	1	CARDINAL
ejpam-4610	343	2	2	DATE
ejpam-4610	343	3	3	DATE
ejpam-4610	344	1	x1i	GPE
ejpam-4610	348	1	1	CARDINAL
ejpam-4610	348	2	1	CARDINAL
ejpam-4610	348	3	2	DATE
ejpam-4610	348	4	3	DATE
ejpam-4610	350	1	∪a	CARDINAL
ejpam-4610	351	1	x3	GPE
ejpam-4610	352	1	xa−1	PERSON
ejpam-4610	352	2	xa	PERSON
ejpam-4610	732	1	x3 x4 x5 .	PERSON
ejpam-4610	733	1	xa−1 xa	PERSON
ejpam-4610	734	1	z3	DATE
ejpam-4610	734	2	z4 z5 za−1	FAC
ejpam-4610	734	3	za v1 v2 v3 v4 v5 va−1 va w1	PERSON
ejpam-4610	734	4	w3 w4 w5 wa−1	PERSON
ejpam-4610	737	1	1 x1 2 x2 2	QUANTITY
ejpam-4610	739	1	2	CARDINAL
ejpam-4610	739	2	3	CARDINAL
ejpam-4610	741	1	3	CARDINAL
ejpam-4610	741	2	4	CARDINAL
ejpam-4610	743	1	4	CARDINAL
ejpam-4610	744	1	5	CARDINAL
ejpam-4610	746	1	5	CARDINAL
ejpam-4610	747	1	5	CARDINAL
ejpam-4610	748	1	5	CARDINAL
ejpam-4610	753	1	4	CARDINAL
ejpam-4610	754	1	1	CARDINAL
ejpam-4610	757	1	5	CARDINAL
ejpam-4610	758	1	⊆	CARDINAL
ejpam-4610	759	1	bipartite	ORG
ejpam-4610	759	2	m.a.	ORG
ejpam-4610	759	3	bonsocan	ORG
ejpam-4610	759	4	f. jamil	PERSON
ejpam-4610	760	1	j. pure	PERSON
ejpam-4610	760	2	16	CARDINAL
ejpam-4610	760	3	1	CARDINAL
ejpam-4610	760	4	2023	CARDINAL
ejpam-4610	760	5	192	CARDINAL
ejpam-4610	761	1	1 +min{m	DATE
ejpam-4610	761	2	1	CARDINAL
ejpam-4610	761	3	1	CARDINAL
ejpam-4610	761	4	3	CARDINAL
ejpam-4610	761	5	4	CARDINAL
ejpam-4610	761	6	2	CARDINAL
ejpam-4610	761	7	n ≥ 5	DATE
ejpam-4610	761	8	trpnd(cn	WORK_OF_ART
ejpam-4610	762	1	1	CARDINAL
ejpam-4610	762	2	4	CARDINAL
ejpam-4610	762	3	3	CARDINAL
ejpam-4610	762	4	6	CARDINAL
ejpam-4610	762	5	2	CARDINAL
ejpam-4610	762	6	n ≥ 7	ORG
ejpam-4610	764	1	13	CARDINAL
ejpam-4610	764	2	5	CARDINAL
ejpam-4610	765	1	13	CARDINAL
ejpam-4610	765	2	two	CARDINAL
ejpam-4610	766	1	⊆	CARDINAL
ejpam-4610	769	1	1	CARDINAL
ejpam-4610	770	1	two	CARDINAL
ejpam-4610	771	1	g+h	ORG
ejpam-4610	771	2	sg ⊆	ORG
ejpam-4610	771	3	⊆	CARDINAL
ejpam-4610	772	1	6	CARDINAL
ejpam-4610	773	1	two	CARDINAL
ejpam-4610	774	1	⊆	CARDINAL
ejpam-4610	774	2	sg ⊆	ORG
ejpam-4610	774	3	⊆	CARDINAL
ejpam-4610	774	4	one	CARDINAL
ejpam-4610	775	1	g+h	ORG
ejpam-4610	777	1	5	CARDINAL
ejpam-4610	779	1	1	CARDINAL
ejpam-4610	779	2	g+h	ORG
ejpam-4610	783	1	g+h	ORG
ejpam-4610	787	1	lemma 1	ORG
ejpam-4610	787	2	tg	ORG
ejpam-4610	787	3	∩ tg ̸=	PERSON
ejpam-4610	787	4	g+h	ORG
ejpam-4610	788	1	2	CARDINAL
ejpam-4610	789	1	two	CARDINAL
ejpam-4610	791	1	+ pnd(h	PERSON
ejpam-4610	792	1	m.a	PERSON
ejpam-4610	792	2	bonsocan	NORP
ejpam-4610	792	3	f. jamil	PERSON
ejpam-4610	793	1	j. pure	PERSON
ejpam-4610	793	2	16	CARDINAL
ejpam-4610	793	3	1	CARDINAL
ejpam-4610	793	4	2023	CARDINAL
ejpam-4610	793	5	192	CARDINAL
ejpam-4610	793	6	6	CARDINAL
ejpam-4610	794	1	2	CARDINAL
ejpam-4610	794	2	1	CARDINAL
ejpam-4610	800	1	g = kn	PERSON
ejpam-4610	801	1	hv)|	CARDINAL
ejpam-4610	801	2	1	CARDINAL
ejpam-4610	801	3	∈	ORG
ejpam-4610	803	1	g ◦h	ORG
ejpam-4610	804	1	∈	ORG
ejpam-4610	804	2	◦h(a	ORG
ejpam-4610	805	1	2	CARDINAL
ejpam-4610	806	1	◦h(a	ORG
ejpam-4610	806	2	2	CARDINAL
ejpam-4610	809	1	|s∗|	CARDINAL
ejpam-4610	810	1	g = kn	PERSON
ejpam-4610	812	1	∈	ORG
ejpam-4610	815	1	∈	ORG
ejpam-4610	815	2	w	GPE
ejpam-4610	815	3	at least 2	CARDINAL
ejpam-4610	815	4	∈	ORG
ejpam-4610	815	5	w	GPE
ejpam-4610	815	6	∈	ORG
ejpam-4610	815	7	w ∈	PERSON
ejpam-4610	815	8	hu	PERSON
ejpam-4610	817	1	k1,4	PERSON
ejpam-4610	817	2	2	CARDINAL
ejpam-4610	817	3	9	CARDINAL
ejpam-4610	818	1	1	CARDINAL
ejpam-4610	819	1	1 ≤	QUANTITY
ejpam-4610	820	1	1	CARDINAL
ejpam-4610	820	2	m.a.	PERSON
ejpam-4610	820	3	bonsocan	NORP
ejpam-4610	820	4	f. jamil	PERSON
ejpam-4610	821	1	j. pure	PERSON
ejpam-4610	821	2	16	CARDINAL
ejpam-4610	821	3	1	CARDINAL
ejpam-4610	821	4	2023	CARDINAL
ejpam-4610	821	5	192	CARDINAL
ejpam-4610	821	6	2	CARDINAL
ejpam-4610	822	1	7	CARDINAL
ejpam-4610	823	1	13	CARDINAL
ejpam-4610	823	2	two	CARDINAL
ejpam-4610	824	1	⊆	CARDINAL
ejpam-4610	825	1	∪v∈v (g)∩ng(a)sv) ∪	ORG
ejpam-4610	825	2	∪w∈v	GPE
ejpam-4610	825	3	⊆	CARDINAL
ejpam-4610	825	4	2	CARDINAL
ejpam-4610	826	1	⊆	CARDINAL
ejpam-4610	827	1	2	CARDINAL
ejpam-4610	828	1	⊆	CARDINAL
ejpam-4610	830	1	⊆	CARDINAL
ejpam-4610	831	1	⊆	CARDINAL
ejpam-4610	831	2	g ◦ h.	ORG
ejpam-4610	832	1	⊆	CARDINAL
ejpam-4610	834	1	7	DATE
ejpam-4610	834	2	sv	ORG
ejpam-4610	835	1	2	CARDINAL
ejpam-4610	835	2	w ∈	ORG
ejpam-4610	836	1	∈	ORG
ejpam-4610	837	1	2	CARDINAL
ejpam-4610	837	2	∈	ORG
ejpam-4610	837	3	h(w	PRODUCT
ejpam-4610	837	4	2	CARDINAL
ejpam-4610	837	5	∈	ORG
ejpam-4610	838	1	∈	ORG
ejpam-4610	838	2	∈	ORG
ejpam-4610	840	1	2	CARDINAL
ejpam-4610	841	1	h(x	GPE
ejpam-4610	841	2	w	GPE
ejpam-4610	841	3	2	CARDINAL
ejpam-4610	843	1	|s∗|	PRODUCT
ejpam-4610	845	1	\sv	ORG
ejpam-4610	848	1	⊆	CARDINAL
ejpam-4610	850	1	∈	ORG
ejpam-4610	851	1	∈	ORG
ejpam-4610	851	2	2	CARDINAL
ejpam-4610	852	1	1	CARDINAL
ejpam-4610	852	2	1	CARDINAL
ejpam-4610	853	1	⊆	CARDINAL
ejpam-4610	853	2	g ◦h so	ORG
ejpam-4610	854	1	⊆	CARDINAL
ejpam-4610	854	2	∈	ORG
ejpam-4610	855	1	h(x	GPE
ejpam-4610	856	1	2	CARDINAL
ejpam-4610	856	2	∈	ORG
ejpam-4610	857	1	⊆	CARDINAL
ejpam-4610	857	2	|s∗|	PRODUCT
ejpam-4610	857	3	3	CARDINAL
ejpam-4610	858	1	m.a	PERSON
ejpam-4610	858	2	bonsocan	NORP
ejpam-4610	858	3	f. jamil	PERSON
ejpam-4610	859	1	j. pure	PERSON
ejpam-4610	859	2	16	CARDINAL
ejpam-4610	859	3	1	CARDINAL
ejpam-4610	859	4	2023	CARDINAL
ejpam-4610	859	5	192	CARDINAL
ejpam-4610	859	6	203	CARDINAL
ejpam-4610	872	1	5	CARDINAL
ejpam-4610	872	2	lemma 2	ORG
ejpam-4610	873	1	5	CARDINAL
ejpam-4610	875	1	⊆	CARDINAL
ejpam-4610	875	2	1	CARDINAL
ejpam-4610	875	3	1	CARDINAL
ejpam-4610	875	4	1	CARDINAL
ejpam-4610	875	5	1	CARDINAL
ejpam-4610	875	6	1	CARDINAL
ejpam-4610	876	1	8	CARDINAL
ejpam-4610	877	1	n ≥ 2	ORG
ejpam-4610	878	1	2	CARDINAL
ejpam-4610	879	1	n ≥ 3	DATE
ejpam-4610	880	1	first	ORDINAL
ejpam-4610	880	2	⊆	CARDINAL
ejpam-4610	880	3	lemma 2	ORG
ejpam-4610	880	4	lemma 2	ORG
ejpam-4610	881	1	⊆	CARDINAL
ejpam-4610	883	1	7	CARDINAL
ejpam-4610	883	2	sv	ORG
ejpam-4610	883	3	2	CARDINAL
ejpam-4610	883	4	∈	ORG
ejpam-4610	884	1	∈	ORG
ejpam-4610	884	2	∈	ORG
ejpam-4610	885	1	∈	ORG
ejpam-4610	887	1	1	CARDINAL
ejpam-4610	889	1	2	CARDINAL
ejpam-4610	890	1	∈	ORG
ejpam-4610	890	2	∩	WORK_OF_ART
ejpam-4610	890	3	2	CARDINAL
ejpam-4610	890	4	∈	ORG
ejpam-4610	891	1	∈	ORG
ejpam-4610	892	1	∈	ORG
ejpam-4610	892	2	∈	ORG
ejpam-4610	893	1	2	CARDINAL
ejpam-4610	893	2	2	CARDINAL
ejpam-4610	893	3	∈	ORG
ejpam-4610	894	1	∈	ORG
ejpam-4610	895	1	∈	ORG
ejpam-4610	897	1	∈	ORG
ejpam-4610	897	2	∈	ORG
ejpam-4610	897	3	vuv ∈	PERSON
ejpam-4610	898	1	204	CARDINAL
ejpam-4610	898	2	1	CARDINAL
ejpam-4610	898	3	2	CARDINAL
ejpam-4610	898	4	1	CARDINAL
ejpam-4610	898	5	3	CARDINAL
ejpam-4610	898	6	1	CARDINAL
ejpam-4610	900	1	1	CARDINAL
ejpam-4610	901	1	1	CARDINAL
ejpam-4610	902	1	2	CARDINAL
ejpam-4610	902	2	2	CARDINAL
ejpam-4610	902	3	3	CARDINAL
ejpam-4610	902	4	2r	CARDINAL
ejpam-4610	902	5	4r	CARDINAL
ejpam-4610	902	6	2r	CARDINAL
ejpam-4610	903	1	+ 1	DATE
ejpam-4610	903	2	4r + 1	DATE
ejpam-4610	903	3	2r	CARDINAL
ejpam-4610	904	1	4r + s	QUANTITY
ejpam-4610	904	2	2	CARDINAL
ejpam-4610	904	3	3	DATE
ejpam-4610	904	4	2	CARDINAL
ejpam-4610	905	1	4	DATE
ejpam-4610	906	1	2r	CARDINAL
ejpam-4610	907	1	4r	CARDINAL
ejpam-4610	907	2	4r	CARDINAL
ejpam-4610	907	3	4r + 2	DATE
ejpam-4610	907	4	4r + 3 3	DATE
ejpam-4610	908	1	bipartite	NORP
ejpam-4610	908	2	graph km	PERSON
ejpam-4610	908	3	2	CARDINAL
ejpam-4610	908	4	n ◦h	ORG
ejpam-4610	908	5	1 +min{m	DATE
ejpam-4610	909	1	msu-iligan institute of technology	ORG
ejpam-4610	910	1	1	CARDINAL
ejpam-4610	910	2	s. arriola	PERSON
ejpam-4610	910	3	jr.	PERSON
ejpam-4610	910	4	s. canoy.	PERSON
ejpam-4610	911	1	1	CARDINAL
ejpam-4610	912	1	18(2):179–190	DATE
ejpam-4610	912	2	2017	DATE
ejpam-4610	913	1	2	CARDINAL
ejpam-4610	915	1	methuen	GPE
ejpam-4610	915	2	london	GPE
ejpam-4610	915	3	1962	DATE
ejpam-4610	916	1	3	CARDINAL
ejpam-4610	916	2	f. buckley	PERSON
ejpam-4610	916	3	f. harary	PERSON
ejpam-4610	918	1	addison-wesley	ORG
ejpam-4610	918	2	redwood city	GPE
ejpam-4610	918	3	1990	DATE
ejpam-4610	919	1	4	CARDINAL
ejpam-4610	919	2	e. cockayne	PERSON
ejpam-4610	919	3	s. hedetniemi	PERSON
ejpam-4610	921	1	7(3):247–261	CARDINAL
ejpam-4610	921	2	1977	DATE
ejpam-4610	922	1	205	CARDINAL
ejpam-4610	922	2	5	CARDINAL
ejpam-4610	922	3	n. alon m.r.	PERSON
ejpam-4610	922	4	d.r.	GPE
ejpam-4610	924	1	21(1):21–31, 1996	DATE
ejpam-4610	925	1	6	CARDINAL
ejpam-4610	925	2	hamid	PERSON
ejpam-4610	926	1	32:5–7,	DATE
ejpam-4610	926	2	2012	DATE
ejpam-4610	928	1	desormeaux t.w	PERSON
ejpam-4610	928	2	haynes	ORG
ejpam-4610	928	3	m.a. henning	ORG
ejpam-4610	929	1	extremal	GPE
ejpam-4610	930	1	159:1048–1052, 2011	DATE
ejpam-4610	931	1	8	CARDINAL
ejpam-4610	931	2	haynes	ORG
ejpam-4610	931	3	s.t	PERSON
ejpam-4610	931	4	hedetniemi	PERSON
ejpam-4610	931	5	p.j	GPE
ejpam-4610	931	6	slater	PERSON
ejpam-4610	933	1	marcel dekker	PERSON
ejpam-4610	933	2	inc.	ORG
ejpam-4610	933	3	new york	GPE
ejpam-4610	933	4	1990	DATE
ejpam-4610	934	1	9	CARDINAL
ejpam-4610	934	2	m. henning	PERSON
ejpam-4610	934	3	a. yeo	PERSON
ejpam-4610	936	1	2013	DATE
ejpam-4610	937	1	10	CARDINAL
ejpam-4610	937	2	jamil	GPE
ejpam-4610	939	1	european journal	ORG
ejpam-4610	939	2	12(3):978–998	DATE
ejpam-4610	939	3	2019	DATE
ejpam-4610	940	1	11	CARDINAL
ejpam-4610	940	2	jamil	PERSON
ejpam-4610	940	3	r.p.	GPE
ejpam-4610	942	1	quaestiones mathematicae	ORG
ejpam-4610	942	2	43(2):149–168	CARDINAL
ejpam-4610	942	3	2020	DATE
ejpam-4610	943	1	12	CARDINAL
ejpam-4610	943	2	r. aldema	PERSON
ejpam-4610	943	3	e.m. paluga r.f. rulete f.p	PERSON
ejpam-4610	943	4	jamil	PERSON
ejpam-4610	945	1	ars combinatoria	GPE
ejpam-4610	945	2	107:225–245	CARDINAL
ejpam-4610	945	3	2012	DATE
ejpam-4610	946	1	13	CARDINAL
ejpam-4610	946	2	j.g.canoy r. mollejon	PERSON
ejpam-4610	946	3	s. canoy jr.	PERSON
ejpam-4610	947	1	european journal	ORG
ejpam-4610	947	2	12(4):1455–1463,	DATE
ejpam-4610	947	3	2019	DATE
ejpam-4610	948	1	14	CARDINAL
ejpam-4610	948	2	d.	NORP
ejpam-4610	948	3	d. erwin s. mukwembi	PERSON
ejpam-4610	948	4	h. swart	PERSON
ejpam-4610	950	1	309(19):5877	ORG
ejpam-4610	950	2	5883	DATE
ejpam-4610	950	3	2009	DATE
ejpam-4610	951	1	15	CARDINAL
ejpam-4610	951	2	c. natarajan	PERSON
ejpam-4610	952	1	versita	PERSON
ejpam-4610	952	2	23(2):187	CARDINAL
ejpam-4610	952	3	199	CARDINAL
ejpam-4610	952	4	2015	DATE
ejpam-4610	953	1	16	CARDINAL
ejpam-4610	954	1	38	CARDINAL
ejpam-4610	955	1	1962	DATE
ejpam-4610	956	1	17	CARDINAL
ejpam-4610	956	2	h. rara	PERSON
ejpam-4610	958	1	2017	DATE
ejpam-4610	959	1	18	CARDINAL
ejpam-4610	959	2	a. alwardi n. abhi r. puttaswamy.	PERSON
ejpam-4610	960	1	gulf journal of mathematics	ORG
ejpam-4610	960	2	6:41–49	CARDINAL
ejpam-4610	960	3	2018	DATE
ejpam-4610	961	1	19	CARDINAL
ejpam-4610	961	2	a. alwardi n. abhi r. puttaswamy	PERSON
ejpam-4610	963	1	2018	DATE
ejpam-4610	964	1	20	CARDINAL
ejpam-4610	964	2	ahangar v. samodivkin	PERSON
ejpam-4610	964	3	i. yero	PERSON
ejpam-4610	966	1	filomat	ORG
ejpam-4610	966	2	30(2):293–303	ORG
ejpam-4610	966	3	2016	DATE
ejpam-4610	967	1	206	CARDINAL
ejpam-4610	968	1	21	CARDINAL
ejpam-4610	968	2	m. schughart	PERSON
ejpam-4610	968	3	z. tuza	PERSON
ejpam-4610	970	1	88(1):11–20, 1991	DATE
ejpam-4610	971	1	22	CARDINAL
ejpam-4610	971	2	jamil	GPE
ejpam-4610	973	1	european journal	ORG
ejpam-4610	973	2	14(1):140–163	DATE
ejpam-4610	973	3	2021	DATE