id	sid	eid	entity	type
ejpam-4656	1	1	european journal	ORG
ejpam-4656	2	1	16	CARDINAL
ejpam-4656	2	2	1	CARDINAL
ejpam-4656	2	3	2023	CARDINAL
ejpam-4656	2	4	319	CARDINAL
ejpam-4656	2	5	new york	GPE
ejpam-4656	2	6	javier a. hassan1,∗	PERSON
ejpam-4656	2	7	sergio r. canoy	PERSON
ejpam-4656	2	8	jr.2	GPE
ejpam-4656	2	9	1	CARDINAL
ejpam-4656	2	10	msu tawi-tawi college of technology	ORG
ejpam-4656	2	11	2	CARDINAL
ejpam-4656	2	12	msu-iligan institute of technology	ORG
ejpam-4656	2	13	9200	CARDINAL
ejpam-4656	2	14	iligan city	GPE
ejpam-4656	2	15	philippines	GPE
ejpam-4656	4	1	⊆	CARDINAL
ejpam-4656	4	2	two	CARDINAL
ejpam-4656	6	1	2	CARDINAL
ejpam-4656	7	1	two	CARDINAL
ejpam-4656	7	2	2 ≤	QUANTITY
ejpam-4656	9	1	2020	DATE
ejpam-4656	9	2	05c69	CARDINAL
ejpam-4656	9	3	1	CARDINAL
ejpam-4656	10	1	natarajan et al	PERSON
ejpam-4656	11	1	18	CARDINAL
ejpam-4656	13	1	1	CARDINAL
ejpam-4656	13	2	2	CARDINAL
ejpam-4656	13	3	5	CARDINAL
ejpam-4656	13	4	8	CARDINAL
ejpam-4656	13	5	9	CARDINAL
ejpam-4656	13	6	13	CARDINAL
ejpam-4656	13	7	14	CARDINAL
ejpam-4656	13	8	15	CARDINAL
ejpam-4656	13	9	19	CARDINAL
ejpam-4656	13	10	20	CARDINAL
ejpam-4656	13	11	21	CARDINAL
ejpam-4656	17	1	∗corresponding	PERSON
ejpam-4656	19	1	j. hassan	PERSON
ejpam-4656	19	2	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-4656	19	3	s. canoy	PERSON
ejpam-4656	19	4	chrisley.saromines@g.msuiit.edu.ph (c. saromines	ORG
ejpam-4656	19	5	319	CARDINAL
ejpam-4656	20	1	2023	CARDINAL
ejpam-4656	21	1	j. hassan	PERSON
ejpam-4656	21	2	s. canoy jr.	PERSON
ejpam-4656	22	1	j. pure	PERSON
ejpam-4656	22	2	16	CARDINAL
ejpam-4656	22	3	1	CARDINAL
ejpam-4656	22	4	2023	CARDINAL
ejpam-4656	22	5	319	CARDINAL
ejpam-4656	23	1	3	CARDINAL
ejpam-4656	24	1	4	CARDINAL
ejpam-4656	24	2	6	CARDINAL
ejpam-4656	24	3	11	CARDINAL
ejpam-4656	27	1	4	CARDINAL
ejpam-4656	27	2	10	CARDINAL
ejpam-4656	27	3	16	CARDINAL
ejpam-4656	27	4	17	CARDINAL
ejpam-4656	31	1	2	CARDINAL
ejpam-4656	32	1	two	CARDINAL
ejpam-4656	38	1	vertices u	PERSON
ejpam-4656	38	2	∈	ORG
ejpam-4656	40	1	⊆	CARDINAL
ejpam-4656	41	1	⋃	PERSON
ejpam-4656	43	1	∪x	CARDINAL
ejpam-4656	44	1	⊆	CARDINAL
ejpam-4656	47	1	∈	ORG
ejpam-4656	50	1	γ(g	NORP
ejpam-4656	50	2	γt(g	ORG
ejpam-4656	52	1	γt(g	ORG
ejpam-4656	54	1	1	CARDINAL
ejpam-4656	55	1	2	CARDINAL
ejpam-4656	55	2	n2 g(u	PRODUCT
ejpam-4656	55	3	∈	ORG
ejpam-4656	55	4	2	CARDINAL
ejpam-4656	56	1	⊆	CARDINAL
ejpam-4656	56	2	n2 g(x	PRODUCT
ejpam-4656	57	1	⋃	PERSON
ejpam-4656	57	2	n2 g(u	PRODUCT
ejpam-4656	59	1	⊆	CARDINAL
ejpam-4656	59	2	∈	PERSON
ejpam-4656	60	1	2	CARDINAL
ejpam-4656	64	1	⊆	CARDINAL
ejpam-4656	64	2	two	CARDINAL
ejpam-4656	64	3	⊆	CARDINAL
ejpam-4656	64	4	con(g	ORG
ejpam-4656	64	5	⊆	CARDINAL
ejpam-4656	64	6	j. hassan	PERSON
ejpam-4656	64	7	s. canoy jr.	PERSON
ejpam-4656	65	1	j. pure	PERSON
ejpam-4656	65	2	16	CARDINAL
ejpam-4656	65	3	1	CARDINAL
ejpam-4656	65	4	2023	CARDINAL
ejpam-4656	65	5	319	CARDINAL
ejpam-4656	75	1	⊆	CARDINAL
ejpam-4656	75	2	w ∈	PERSON
ejpam-4656	75	3	2	CARDINAL
ejpam-4656	75	4	⊆	CARDINAL
ejpam-4656	76	1	ω(g	ORG
ejpam-4656	77	1	⊆	CARDINAL
ejpam-4656	78	1	⊆	CARDINAL
ejpam-4656	79	1	s(g	PERSON
ejpam-4656	79	2	two	CARDINAL
ejpam-4656	79	3	g1	ORG
ejpam-4656	79	4	∈	ORG
ejpam-4656	79	5	g1	ORG
ejpam-4656	80	1	∈	ORG
ejpam-4656	80	2	∈	ORG
ejpam-4656	81	1	two	CARDINAL
ejpam-4656	82	1	+ h	GPE
ejpam-4656	83	1	∈	ORG
ejpam-4656	84	1	one	CARDINAL
ejpam-4656	85	1	⟨{v}⟩ +	GPE
ejpam-4656	86	1	∈	ORG
ejpam-4656	86	2	ab ∈ e(h	ORG
ejpam-4656	87	1	⊆	CARDINAL
ejpam-4656	87	2	⋃	PERSON
ejpam-4656	88	1	⊆	CARDINAL
ejpam-4656	88	2	tx	ORG
ejpam-4656	88	3	⊆	PRODUCT
ejpam-4656	88	4	tx	ORG
ejpam-4656	88	5	∈	ORG
ejpam-4656	88	6	s. j. hassan	PERSON
ejpam-4656	88	7	s. canoy jr.	PERSON
ejpam-4656	89	1	j. pure	PERSON
ejpam-4656	89	2	16	CARDINAL
ejpam-4656	89	3	1	CARDINAL
ejpam-4656	89	4	2023	CARDINAL
ejpam-4656	89	5	319	CARDINAL
ejpam-4656	91	1	1	CARDINAL
ejpam-4656	94	1	2	CARDINAL
ejpam-4656	95	1	1	CARDINAL
ejpam-4656	99	1	2	CARDINAL
ejpam-4656	100	1	1	CARDINAL
ejpam-4656	105	1	3	CARDINAL
ejpam-4656	128	1	• • • •	DATE
ejpam-4656	129	1	1	CARDINAL
ejpam-4656	130	1	1	CARDINAL
ejpam-4656	131	1	2	CARDINAL
ejpam-4656	132	1	2 ≤	QUANTITY
ejpam-4656	132	2	2	CARDINAL
ejpam-4656	133	1	2	CARDINAL
ejpam-4656	134	1	2 ≤	QUANTITY
ejpam-4656	135	1	2	CARDINAL
ejpam-4656	135	2	1	CARDINAL
ejpam-4656	135	3	2	CARDINAL
ejpam-4656	135	4	2	CARDINAL
ejpam-4656	135	5	n ≥ 2	ORG
ejpam-4656	136	1	2	CARDINAL
ejpam-4656	136	2	2	CARDINAL
ejpam-4656	137	1	1	CARDINAL
ejpam-4656	138	1	2	CARDINAL
ejpam-4656	138	2	2	CARDINAL
ejpam-4656	139	1	3 ≤	QUANTITY
ejpam-4656	143	1	two	CARDINAL
ejpam-4656	143	2	j. hassan	PERSON
ejpam-4656	143	3	s. canoy jr.	PERSON
ejpam-4656	144	1	j. pure	PERSON
ejpam-4656	144	2	16	CARDINAL
ejpam-4656	144	3	1	CARDINAL
ejpam-4656	144	4	2023	CARDINAL
ejpam-4656	144	5	319	CARDINAL
ejpam-4656	144	6	1	CARDINAL
ejpam-4656	144	7	3	CARDINAL
ejpam-4656	147	1	2	CARDINAL
ejpam-4656	170	1	• • • • • •	DATE
ejpam-4656	170	2	2	CARDINAL
ejpam-4656	171	1	2	CARDINAL
ejpam-4656	174	1	3	CARDINAL
ejpam-4656	177	1	xa	PERSON
ejpam-4656	177	2	d′	PERSON
ejpam-4656	178	1	xa	PERSON
ejpam-4656	180	1	d′	PERSON
ejpam-4656	180	2	g′	PERSON
ejpam-4656	181	1	γch(g ′	DATE
ejpam-4656	215	1	xa−2	GPE
ejpam-4656	217	1	3	CARDINAL
ejpam-4656	219	1	1	CARDINAL
ejpam-4656	225	1	2	CARDINAL
ejpam-4656	225	2	2	CARDINAL
ejpam-4656	225	3	3	DATE
ejpam-4656	225	4	4	DATE
ejpam-4656	225	5	5	CARDINAL
ejpam-4656	225	6	4	CARDINAL
ejpam-4656	226	1	j. hassan	PERSON
ejpam-4656	226	2	s. canoy jr.	PERSON
ejpam-4656	227	1	j. pure	PERSON
ejpam-4656	227	2	16	CARDINAL
ejpam-4656	227	3	1	CARDINAL
ejpam-4656	227	4	2023	CARDINAL
ejpam-4656	227	5	319	CARDINAL
ejpam-4656	228	1	2	CARDINAL
ejpam-4656	228	2	4	CARDINAL
ejpam-4656	228	3	5 3	CARDINAL
ejpam-4656	228	4	3	CARDINAL
ejpam-4656	228	5	4	CARDINAL
ejpam-4656	229	1	4if6 ≤ n ≤ 9	QUANTITY
ejpam-4656	229	2	10	CARDINAL
ejpam-4656	233	1	2	CARDINAL
ejpam-4656	233	2	2	CARDINAL
ejpam-4656	233	3	3	DATE
ejpam-4656	233	4	4	DATE
ejpam-4656	233	5	5	CARDINAL
ejpam-4656	234	1	n ≥ 6	DATE
ejpam-4656	239	1	vn−3	ORG
ejpam-4656	243	1	4	CARDINAL
ejpam-4656	243	2	γconh(cn	PERSON
ejpam-4656	243	3	2	CARDINAL
ejpam-4656	243	4	4	CARDINAL
ejpam-4656	243	5	5	DATE
ejpam-4656	243	6	3	CARDINAL
ejpam-4656	243	7	3	CARDINAL
ejpam-4656	243	8	6 ≤ n ≤ 9	QUANTITY
ejpam-4656	252	1	4	CARDINAL
ejpam-4656	253	1	10.ifs’isaγconh	CARDINAL
ejpam-4656	253	2	|s′|	GPE
ejpam-4656	255	1	5	CARDINAL
ejpam-4656	258	1	1	CARDINAL
ejpam-4656	258	2	γconh(kn	GPE
ejpam-4656	259	1	1	CARDINAL
ejpam-4656	259	2	3	CARDINAL
ejpam-4656	261	1	2	CARDINAL
ejpam-4656	263	1	2	CARDINAL
ejpam-4656	263	2	n ≥ 2	ORG
ejpam-4656	264	1	∈	ORG
ejpam-4656	266	1	w ∈	PERSON
ejpam-4656	266	2	two	CARDINAL
ejpam-4656	266	3	1	CARDINAL
ejpam-4656	266	4	w ∈	PERSON
ejpam-4656	267	1	2	CARDINAL
ejpam-4656	267	2	u w ∈	ORG
ejpam-4656	268	1	2	CARDINAL
ejpam-4656	268	2	2	CARDINAL
ejpam-4656	269	1	∈	ORG
ejpam-4656	270	1	2	CARDINAL
ejpam-4656	272	1	2	CARDINAL
ejpam-4656	274	1	2	CARDINAL
ejpam-4656	274	2	g1	ORG
ejpam-4656	274	3	s(g	PERSON
ejpam-4656	274	4	sg1 ⊆	PRODUCT
ejpam-4656	274	5	g1	ORG
ejpam-4656	274	6	sg2 ⊆	ORG
ejpam-4656	274	7	a′ ∈	PERSON
ejpam-4656	274	8	∈	ORG
ejpam-4656	274	9	g1	ORG
ejpam-4656	275	1	j. hassan	PERSON
ejpam-4656	275	2	s. canoy jr.	PERSON
ejpam-4656	276	1	j. pure	PERSON
ejpam-4656	276	2	16	CARDINAL
ejpam-4656	276	3	1	CARDINAL
ejpam-4656	276	4	2023	CARDINAL
ejpam-4656	276	5	319	CARDINAL
ejpam-4656	276	6	4	CARDINAL
ejpam-4656	278	1	s(g	PERSON
ejpam-4656	278	2	s(g	PERSON
ejpam-4656	278	3	g1	ORG
ejpam-4656	280	1	sg1 ∪ sg2	DATE
ejpam-4656	280	2	sg1	DATE
ejpam-4656	280	3	sg2	ORG
ejpam-4656	280	4	g1	ORG
ejpam-4656	281	1	sg1	DATE
ejpam-4656	281	2	g1	ORG
ejpam-4656	283	1	s(g	PERSON
ejpam-4656	284	1	sg2 = ∅	ORG
ejpam-4656	285	1	g1	ORG
ejpam-4656	286	1	∈	ORG
ejpam-4656	286	2	dg1(a	NORP
ejpam-4656	286	3	2	CARDINAL
ejpam-4656	287	1	∈	ORG
ejpam-4656	287	2	ng1(a	GPE
ejpam-4656	288	1	x′	CARDINAL
ejpam-4656	288	2	ng1(a	GPE
ejpam-4656	289	1	g1	ORG
ejpam-4656	292	1	sg1	PRODUCT
ejpam-4656	292	2	sg2	ORG
ejpam-4656	293	1	sg1 ∪ sg2	DATE
ejpam-4656	294	1	sg1 ∩ s′ g2 ̸=	PRODUCT
ejpam-4656	294	2	∈ sg1 ∩	ORG
ejpam-4656	295	1	∈ s.	PERSON
ejpam-4656	296	1	x′	CARDINAL
ejpam-4656	296	2	∈	ORG
ejpam-4656	297	1	s(g	PERSON
ejpam-4656	298	1	sg1 ∩	PERSON
ejpam-4656	299	1	sg1	PRODUCT
ejpam-4656	300	1	dg1(a	NORP
ejpam-4656	300	2	2	CARDINAL
ejpam-4656	301	1	x′	CARDINAL
ejpam-4656	301	2	ng1(a	GPE
ejpam-4656	302	1	s(g	PERSON
ejpam-4656	303	1	sg1	PRODUCT
ejpam-4656	303	2	g1	ORG
ejpam-4656	304	1	sg2	ORG
ejpam-4656	305	1	sg1 ∪s′ g2	ORG
ejpam-4656	305	2	g1	ORG
ejpam-4656	306	1	dg1(x	PERSON
ejpam-4656	307	1	2	CARDINAL
ejpam-4656	307	2	sg1	DATE
ejpam-4656	307	3	sg2	ORG
ejpam-4656	309	1	∈	ORG
ejpam-4656	310	1	z′ ∈	ORG
ejpam-4656	310	2	∩ ns(g)(y ′	ORG
ejpam-4656	311	1	z′ ∈	PERSON
ejpam-4656	311	2	∈	PRODUCT
ejpam-4656	311	3	s(g	PERSON
ejpam-4656	312	1	sg1	CARDINAL
ejpam-4656	312	2	g1	ORG
ejpam-4656	313	1	sg2	ORG
ejpam-4656	316	1	2	CARDINAL
ejpam-4656	320	1	5	CARDINAL
ejpam-4656	322	1	s(g	PERSON
ejpam-4656	322	2	g1	ORG
ejpam-4656	324	1	sg1 ∪ sg2	DATE
ejpam-4656	324	2	sg1	CARDINAL
ejpam-4656	324	3	g1	ORG
ejpam-4656	325	1	j. hassan	PERSON
ejpam-4656	325	2	s. canoy jr.	PERSON
ejpam-4656	326	1	j. pure	PERSON
ejpam-4656	326	2	16	CARDINAL
ejpam-4656	326	3	1	CARDINAL
ejpam-4656	326	4	2023	CARDINAL
ejpam-4656	326	5	319	CARDINAL
ejpam-4656	327	1	s(g	PERSON
ejpam-4656	328	1	sg1	DATE
ejpam-4656	328	2	g1	ORG
ejpam-4656	329	1	sg2 = ∅	ORG
ejpam-4656	329	2	g1	ORG
ejpam-4656	330	1	sg1 = ∅	ORG
ejpam-4656	332	1	sg1 ̸=	ORG
ejpam-4656	332	2	sg2 ̸=	ORG
ejpam-4656	332	3	g1	ORG
ejpam-4656	334	1	s(g	DATE
ejpam-4656	335	1	2	CARDINAL
ejpam-4656	336	1	y ∈ sg1	PERSON
ejpam-4656	337	1	z′	PERSON
ejpam-4656	337	2	g1	ORG
ejpam-4656	338	1	dg1(x	PERSON
ejpam-4656	338	2	2	CARDINAL
ejpam-4656	338	3	sg1 ∪s′ g2	PERSON
ejpam-4656	338	4	g1	ORG
ejpam-4656	339	1	sg2	ORG
ejpam-4656	342	1	∈	ORG
ejpam-4656	343	1	s.	PERSON
ejpam-4656	343	2	∈	ORG
ejpam-4656	343	3	g1	ORG
ejpam-4656	343	4	dg1(a	NORP
ejpam-4656	343	5	2	CARDINAL
ejpam-4656	343	6	∈	ORG
ejpam-4656	343	7	∈	ORG
ejpam-4656	343	8	g1	ORG
ejpam-4656	344	1	∈	ORG
ejpam-4656	344	2	dg1(a	NORP
ejpam-4656	344	3	2	CARDINAL
ejpam-4656	346	1	w ∈ s	PERSON
ejpam-4656	347	1	dg1(v	GPE
ejpam-4656	347	2	w	GPE
ejpam-4656	347	3	2	CARDINAL
ejpam-4656	347	4	w	GPE
ejpam-4656	347	5	2	CARDINAL
ejpam-4656	347	6	s(g	PERSON
ejpam-4656	348	1	s(g	PERSON
ejpam-4656	351	1	y /∈ sg1	PERSON
ejpam-4656	352	1	∈	ORG
ejpam-4656	353	1	z′	PERSON
ejpam-4656	353	2	g1	ORG
ejpam-4656	355	1	2	CARDINAL
ejpam-4656	356	1	g1	ORG
ejpam-4656	356	2	∈	ORG
ejpam-4656	356	3	2 = ds(g)(p	CARDINAL
ejpam-4656	357	1	ds(g)(p	DATE
ejpam-4656	358	1	2	CARDINAL
ejpam-4656	359	1	∈	ORG
ejpam-4656	359	2	∈ sg2 ⊆ s	ORG
ejpam-4656	359	3	z′	PERSON
ejpam-4656	359	4	ds(g)(p ′	DATE
ejpam-4656	359	5	z′	PERSON
ejpam-4656	360	1	2	CARDINAL
ejpam-4656	360	2	s(g	DATE
ejpam-4656	361	1	3	CARDINAL
ejpam-4656	365	1	6	CARDINAL
ejpam-4656	367	1	s(g	PERSON
ejpam-4656	367	2	g1	ORG
ejpam-4656	369	1	sg1 ∪ sg2	DATE
ejpam-4656	369	2	sg1	DATE
ejpam-4656	369	3	sg2	ORG
ejpam-4656	369	4	sg1	DATE
ejpam-4656	369	5	sg2	GPE
ejpam-4656	370	1	sg1	DATE
ejpam-4656	370	2	sg2	ORG
ejpam-4656	370	3	sg1	DATE
ejpam-4656	370	4	sg2	GPE
ejpam-4656	372	1	4	CARDINAL
ejpam-4656	372	2	5	CARDINAL
ejpam-4656	373	1	6	CARDINAL
ejpam-4656	376	1	∈	ORG
ejpam-4656	376	2	b. j. hassan	PERSON
ejpam-4656	376	3	s. canoy jr.	PERSON
ejpam-4656	377	1	j. pure	PERSON
ejpam-4656	377	2	16	CARDINAL
ejpam-4656	377	3	1	CARDINAL
ejpam-4656	377	4	2023	CARDINAL
ejpam-4656	377	5	319	CARDINAL
ejpam-4656	377	6	7	CARDINAL
ejpam-4656	378	1	1 ≤	CARDINAL
ejpam-4656	379	1	1	CARDINAL
ejpam-4656	382	1	5	CARDINAL
ejpam-4656	384	1	2	CARDINAL
ejpam-4656	384	2	2	CARDINAL
ejpam-4656	385	1	13	CARDINAL
ejpam-4656	386	1	8	CARDINAL
ejpam-4656	387	1	two	CARDINAL
ejpam-4656	388	1	⊆	CARDINAL
ejpam-4656	388	2	g+h	ORG
ejpam-4656	389	1	two	CARDINAL
ejpam-4656	389	2	12	CARDINAL
ejpam-4656	390	1	9	CARDINAL
ejpam-4656	391	1	kn	PERSON
ejpam-4656	391	2	g+h	ORG
ejpam-4656	394	1	10	CARDINAL
ejpam-4656	395	1	two	CARDINAL
ejpam-4656	396	1	g+h	ORG
ejpam-4656	397	1	11	CARDINAL
ejpam-4656	398	1	two	CARDINAL
ejpam-4656	399	1	⊆	CARDINAL
ejpam-4656	402	1	g+h	ORG
ejpam-4656	403	1	sg	GPE
ejpam-4656	404	1	8	CARDINAL
ejpam-4656	405	1	10	CARDINAL
ejpam-4656	408	1	sg	GPE
ejpam-4656	408	2	g+h	NORP
ejpam-4656	408	3	8	CARDINAL
ejpam-4656	409	1	sg	GPE
ejpam-4656	409	2	g+h	NORP
ejpam-4656	409	3	10	CARDINAL
ejpam-4656	410	1	g+h	ORG
ejpam-4656	411	1	7	CARDINAL
ejpam-4656	411	2	5	CARDINAL
ejpam-4656	411	3	11	CARDINAL
ejpam-4656	412	1	6	CARDINAL
ejpam-4656	413	1	two	CARDINAL
ejpam-4656	416	1	j. hassan	PERSON
ejpam-4656	416	2	s. canoy jr.	PERSON
ejpam-4656	417	1	j. pure	PERSON
ejpam-4656	417	2	16	CARDINAL
ejpam-4656	417	3	1	CARDINAL
ejpam-4656	417	4	2023	CARDINAL
ejpam-4656	417	5	319	CARDINAL
ejpam-4656	417	6	4	CARDINAL
ejpam-4656	417	7	3	CARDINAL
ejpam-4656	417	8	4	CARDINAL
ejpam-4656	417	9	4	CARDINAL
ejpam-4656	417	10	12	CARDINAL
ejpam-4656	418	1	⊆	CARDINAL
ejpam-4656	419	1	kn)∪sg	LOC
ejpam-4656	421	1	∪sg	ORG
ejpam-4656	422	1	sg	NORP
ejpam-4656	422	2	kn	PERSON
ejpam-4656	424	1	9	CARDINAL
ejpam-4656	424	2	8	CARDINAL
ejpam-4656	424	3	9	DATE
ejpam-4656	425	1	12	CARDINAL
ejpam-4656	429	1	3	CARDINAL
ejpam-4656	429	2	3	CARDINAL
ejpam-4656	429	3	2	CARDINAL
ejpam-4656	432	1	2	CARDINAL
ejpam-4656	433	1	13	CARDINAL
ejpam-4656	434	1	13	CARDINAL
ejpam-4656	435	1	two	CARDINAL
ejpam-4656	436	1	⊆	CARDINAL
ejpam-4656	437	1	∪v∈v (g)cv	ORG
ejpam-4656	437	2	⊆	CARDINAL
ejpam-4656	437	3	cv ⊆	ORG
ejpam-4656	437	4	2	CARDINAL
ejpam-4656	438	1	14	DATE
ejpam-4656	441	1	∪v∈v (g)cv	ORG
ejpam-4656	441	2	⊆	CARDINAL
ejpam-4656	441	3	cv ⊆	PERSON
ejpam-4656	441	4	∈	ORG
ejpam-4656	441	5	2	CARDINAL
ejpam-4656	441	6	j. hassan	PERSON
ejpam-4656	441	7	s. canoy jr.	PERSON
ejpam-4656	442	1	j. pure	PERSON
ejpam-4656	442	2	16	CARDINAL
ejpam-4656	442	3	1	CARDINAL
ejpam-4656	442	4	2023	CARDINAL
ejpam-4656	442	5	319	CARDINAL
ejpam-4656	442	6	∈	ORG
ejpam-4656	444	1	cv	ORG
ejpam-4656	445	1	\cv	ORG
ejpam-4656	445	2	cv	ORG
ejpam-4656	445	3	∈	ORG
ejpam-4656	447	1	13(ii	CARDINAL
ejpam-4656	450	1	∈	ORG
ejpam-4656	451	1	13(ii	CARDINAL
ejpam-4656	451	2	cv	ORG
ejpam-4656	452	1	13(i	DATE
ejpam-4656	452	2	2	CARDINAL
ejpam-4656	452	3	y ∈	PERSON
ejpam-4656	452	4	2	CARDINAL
ejpam-4656	453	1	∈	ORG
ejpam-4656	453	2	h(p	PRODUCT
ejpam-4656	454	1	∈	ORG
ejpam-4656	457	1	∈	ORG
ejpam-4656	461	1	\cv	ORG
ejpam-4656	462	1	cv	ORG
ejpam-4656	464	1	13(ii	CARDINAL
ejpam-4656	464	2	cv	ORG
ejpam-4656	467	1	13	CARDINAL
ejpam-4656	468	1	w ∈	PERSON
ejpam-4656	468	2	∈	ORG
ejpam-4656	468	3	w+hw	ORG
ejpam-4656	469	1	1	CARDINAL
ejpam-4656	469	2	w.	PERSON
ejpam-4656	469	3	one	CARDINAL
ejpam-4656	469	4	y ∈ cv	PERSON
ejpam-4656	470	1	⊆	CARDINAL
ejpam-4656	470	2	y ∈ cv	PERSON
ejpam-4656	471	1	cv ̸=	ORG
ejpam-4656	471	2	∈	ORG
ejpam-4656	472	1	cv	ORG
ejpam-4656	473	1	⊆	CARDINAL
ejpam-4656	473	2	2	CARDINAL
ejpam-4656	473	3	y = w.	PERSON
ejpam-4656	475	1	⊆	CARDINAL
ejpam-4656	476	1	w ∈	ORG
ejpam-4656	476	2	w	ORG
ejpam-4656	476	3	⊆	CARDINAL
ejpam-4656	477	1	w	ORG
ejpam-4656	479	1	⊆	CARDINAL
ejpam-4656	479	2	y = w.	PERSON
ejpam-4656	480	1	w ∈ a.	PERSON
ejpam-4656	481	1	⊆	CARDINAL
ejpam-4656	485	1	{x	PERSON
ejpam-4656	485	2	j. hassan	PERSON
ejpam-4656	485	3	s. canoy jr.	PERSON
ejpam-4656	486	1	j. pure	PERSON
ejpam-4656	486	2	16	CARDINAL
ejpam-4656	486	3	1	CARDINAL
ejpam-4656	486	4	2023	CARDINAL
ejpam-4656	486	5	319	CARDINAL
ejpam-4656	489	1	1	CARDINAL
ejpam-4656	489	2	1	CARDINAL
ejpam-4656	490	1	1	CARDINAL
ejpam-4656	492	1	2	CARDINAL
ejpam-4656	492	2	1 or |ih	QUANTITY
ejpam-4656	494	1	1	CARDINAL
ejpam-4656	494	2	w ∈	PERSON
ejpam-4656	495	1	∈	ORG
ejpam-4656	496	1	14	CARDINAL
ejpam-4656	497	1	2	CARDINAL
ejpam-4656	498	1	1	CARDINAL
ejpam-4656	501	1	cv	ORG
ejpam-4656	502	1	cv	ORG
ejpam-4656	502	2	14	CARDINAL
ejpam-4656	503	1	2	CARDINAL
ejpam-4656	503	2	0 and |ih |	QUANTITY
ejpam-4656	506	1	∈	ORG
ejpam-4656	510	1	14	DATE
ejpam-4656	510	2	∪y∈v	PERSON
ejpam-4656	510	3	cv	PERSON
ejpam-4656	511	1	first	ORDINAL
ejpam-4656	511	2	1	CARDINAL
ejpam-4656	512	1	a0	ORG
ejpam-4656	513	1	su = ∅	PERSON
ejpam-4656	514	1	0	CARDINAL
ejpam-4656	514	2	at least two	CARDINAL
ejpam-4656	514	3	2	CARDINAL
ejpam-4656	515	1	3	CARDINAL
ejpam-4656	515	2	2	CARDINAL
ejpam-4656	516	1	cx ̸=	ORG
ejpam-4656	517	1	one	CARDINAL
ejpam-4656	519	1	cx ̸=	ORG
ejpam-4656	519	2	3	CARDINAL
ejpam-4656	520	1	3	CARDINAL
ejpam-4656	524	1	j. hassan	PERSON
ejpam-4656	524	2	s. canoy jr.	PERSON
ejpam-4656	525	1	j. pure	PERSON
ejpam-4656	525	2	16	CARDINAL
ejpam-4656	525	3	1	CARDINAL
ejpam-4656	525	4	2023	CARDINAL
ejpam-4656	525	5	319	CARDINAL
ejpam-4656	528	1	+ 1	DATE
ejpam-4656	532	1	2	CARDINAL
ejpam-4656	532	2	cv = ∅	PERSON
ejpam-4656	532	3	∈	ORG
ejpam-4656	533	1	14	DATE
ejpam-4656	534	1	14(ii	CARDINAL
ejpam-4656	536	1	a′	ORG
ejpam-4656	536	2	2	CARDINAL
ejpam-4656	537	1	a′	ORG
ejpam-4656	538	1	a′	ORG
ejpam-4656	538	2	w ∈ a′ ∩ng(v	ORG
ejpam-4656	539	1	a′	ORG
ejpam-4656	541	1	vwj ∈	PERSON
ejpam-4656	541	2	1	CARDINAL
ejpam-4656	541	3	2	DATE
ejpam-4656	546	1	1	CARDINAL
ejpam-4656	546	2	2	DATE
ejpam-4656	547	1	a′	ORG
ejpam-4656	548	1	xy ∈	PERSON
ejpam-4656	550	1	w ∈ a′	ORG
ejpam-4656	553	1	cw	ORG
ejpam-4656	553	2	14	DATE
ejpam-4656	555	1	14	DATE
ejpam-4656	556	1	|c∗|	GPE
ejpam-4656	556	2	+ 1	DATE
ejpam-4656	559	1	∈	ORG
ejpam-4656	559	2	∩	PERSON
ejpam-4656	559	3	ry ̸=	PERSON
ejpam-4656	561	1	+ 1	DATE
ejpam-4656	562	1	13	CARDINAL
ejpam-4656	563	1	15	CARDINAL
ejpam-4656	565	1	⋃	PERSON
ejpam-4656	567	1	g. (ii	PERSON
ejpam-4656	567	2	tx	ORG
ejpam-4656	568	1	12	CARDINAL
ejpam-4656	569	1	16	CARDINAL
ejpam-4656	572	1	tx	ORG
ejpam-4656	572	2	17	CARDINAL
ejpam-4656	574	1	⊆	CARDINAL
ejpam-4656	574	2	tx	ORG
ejpam-4656	574	3	⊆	PRODUCT
ejpam-4656	574	4	g. (ii	PERSON
ejpam-4656	574	5	tx	ORG
ejpam-4656	574	6	a. j. hassan	PERSON
ejpam-4656	574	7	s. canoy jr.	PERSON
ejpam-4656	575	1	j. pure	PERSON
ejpam-4656	575	2	16	CARDINAL
ejpam-4656	575	3	1	CARDINAL
ejpam-4656	575	4	2023	CARDINAL
ejpam-4656	575	5	319	CARDINAL
ejpam-4656	578	1	tx	ORG
ejpam-4656	578	2	16	CARDINAL
ejpam-4656	579	1	15	CARDINAL
ejpam-4656	580	1	tx	ORG
ejpam-4656	580	2	15(ii	CARDINAL
ejpam-4656	583	1	g[h	ORG
ejpam-4656	585	1	15	CARDINAL
ejpam-4656	585	2	g[h	ORG
ejpam-4656	586	1	16	CARDINAL
ejpam-4656	586	2	g[h	ORG
ejpam-4656	587	1	g[h	ORG
ejpam-4656	589	1	10	CARDINAL
ejpam-4656	592	1	∈	ORG
ejpam-4656	592	2	10	CARDINAL
ejpam-4656	593	1	18	CARDINAL
ejpam-4656	595	1	⋃ x∈s({x} × tx	WORK_OF_ART
ejpam-4656	595	2	tx	ORG
ejpam-4656	596	1	19	CARDINAL
ejpam-4656	597	1	m.	PERSON
ejpam-4656	598	1	⊆	CARDINAL
ejpam-4656	598	2	tx	ORG
ejpam-4656	598	3	⊆	PRODUCT
ejpam-4656	598	4	g. (ii	PERSON
ejpam-4656	599	1	tx	ORG
ejpam-4656	599	2	∩	ORG
ejpam-4656	602	1	15	CARDINAL
ejpam-4656	602	2	18	CARDINAL
ejpam-4656	602	3	tx	ORG
ejpam-4656	602	4	∩	ORG
ejpam-4656	605	1	15	CARDINAL
ejpam-4656	605	2	18	CARDINAL
ejpam-4656	606	1	11	CARDINAL
ejpam-4656	608	1	g(s))|	PERSON
ejpam-4656	608	2	∩	PERSON
ejpam-4656	609	1	333	CARDINAL
ejpam-4656	611	1	⋃	PERSON
ejpam-4656	613	1	tx	ORG
ejpam-4656	613	2	∈	ORG
ejpam-4656	613	3	s \n2 g(s	PRODUCT
ejpam-4656	613	4	19	CARDINAL
ejpam-4656	614	1	1	CARDINAL
ejpam-4656	615	1	s \n2 g(s	PRODUCT
ejpam-4656	616	1	∑ x∈[s0∪(s\n2 g(s	PERSON
ejpam-4656	617	1	m−	PERSON
ejpam-4656	619	1	11	CARDINAL
ejpam-4656	621	1	2	CARDINAL
ejpam-4656	623	1	= s. hence	PERSON
ejpam-4656	623	2	3	CARDINAL
ejpam-4656	623	3	6	CARDINAL
ejpam-4656	624	1	three	CARDINAL
ejpam-4656	625	1	5	CARDINAL
ejpam-4656	625	2	4	CARDINAL
ejpam-4656	627	1	two	CARDINAL
ejpam-4656	630	1	np	ORG
ejpam-4656	632	1	msu-iligan institute of technology	ORG
ejpam-4656	633	1	1	CARDINAL
ejpam-4656	633	2	b. krishnakumari	PERSON
ejpam-4656	633	3	b. natarjan	PERSON
ejpam-4656	635	1	2015	DATE
ejpam-4656	636	1	334	CARDINAL
ejpam-4656	637	1	2	CARDINAL
ejpam-4656	637	2	c. natarajan	PERSON
ejpam-4656	637	3	g. sathiamoorphy	PERSON
ejpam-4656	639	1	2018	DATE
ejpam-4656	640	1	3	CARDINAL
ejpam-4656	640	2	f. buckley	PERSON
ejpam-4656	640	3	f. harary	PERSON
ejpam-4656	642	1	addison-wesley	ORG
ejpam-4656	642	2	redwood city	GPE
ejpam-4656	642	3	1990	DATE
ejpam-4656	643	1	4	CARDINAL
ejpam-4656	643	2	g. chartrand	PERSON
ejpam-4656	643	3	j. fink	PERSON
ejpam-4656	643	4	p. zhang	PERSON
ejpam-4656	645	1	2002	DATE
ejpam-4656	646	1	5	CARDINAL
ejpam-4656	646	2	s. canoy jr.	PERSON
ejpam-4656	647	1	9(116):5749–5755	CARDINAL
ejpam-4656	647	2	2015	DATE
ejpam-4656	648	1	6	CARDINAL
ejpam-4656	648	2	f. harary	PERSON
ejpam-4656	648	3	j. nieminen	PERSON
ejpam-4656	650	1	j. differential geom.	PERSON
ejpam-4656	650	2	16:185–190	CARDINAL
ejpam-4656	650	3	1981	DATE
ejpam-4656	651	1	7	CARDINAL
ejpam-4656	651	2	j. hassan	PERSON
ejpam-4656	651	3	s. canoy jr.	PERSON
ejpam-4656	653	1	j. pure	PERSON
ejpam-4656	653	2	15(4):1783–1796	CARDINAL
ejpam-4656	653	3	2022	CARDINAL
ejpam-4656	654	1	8	CARDINAL
ejpam-4656	654	2	j. hassan	PERSON
ejpam-4656	654	3	s. canoy jr.	PERSON
ejpam-4656	654	4	a. aradais	PERSON
ejpam-4656	657	1	j. pure	PERSON
ejpam-4656	657	2	15(2):467–477	DATE
ejpam-4656	657	3	2022	CARDINAL
ejpam-4656	658	1	9	CARDINAL
ejpam-4656	658	2	m. henning	PERSON
ejpam-4656	658	3	n. rad	PERSON
ejpam-4656	659	1	2	CARDINAL
ejpam-4656	660	1	33(4):913–927	DATE
ejpam-4656	660	2	2017	DATE
ejpam-4656	661	1	10	CARDINAL
ejpam-4656	661	2	s. canoy jr.	PERSON
ejpam-4656	663	1	2014	DATE
ejpam-4656	664	1	11	CARDINAL
ejpam-4656	664	2	s. canoy jr.	PERSON
ejpam-4656	664	3	g. cagaanan	PERSON
ejpam-4656	664	4	s. gervacio.	PERSON
ejpam-4656	666	1	utilitas mathematica	PERSON
ejpam-4656	666	2	71:143–159, 2006	DATE
ejpam-4656	667	1	12	CARDINAL
ejpam-4656	667	2	s. canoy jr.	PERSON
ejpam-4656	669	1	combinatorics	ORG
ejpam-4656	669	2	18:787–793, 2002	DATE
ejpam-4656	670	1	13	CARDINAL
ejpam-4656	670	2	s. canoy jr.	PERSON
ejpam-4656	670	3	r. mollejon	PERSON
ejpam-4656	670	4	j. g. canoy	PERSON
ejpam-4656	673	1	j. pure	PERSON
ejpam-4656	674	1	12(4):1455–1463,	DATE
ejpam-4656	674	2	2019	DATE
ejpam-4656	675	1	14	CARDINAL
ejpam-4656	675	2	s. canoy jr.	PERSON
ejpam-4656	675	3	g. salasalan	PERSON
ejpam-4656	678	1	j. pure	PERSON
ejpam-4656	678	2	14:1415–1428	CARDINAL
ejpam-4656	678	3	2021	DATE
ejpam-4656	679	1	15	CARDINAL
ejpam-4656	679	2	s. canoy jr.	PERSON
ejpam-4656	679	3	g. salasalan	PERSON
ejpam-4656	681	1	kyungpook mathematical journal.	ORG
ejpam-4656	681	2	62:193–204	CARDINAL
ejpam-4656	681	3	2022	CARDINAL
ejpam-4656	682	1	16	CARDINAL
ejpam-4656	682	2	m. labendia	PERSON
ejpam-4656	682	3	s. canoy jr.	PERSON
ejpam-4656	683	1	czechoslovak mathematical journal	ORG
ejpam-4656	683	2	62(4):1003–1009	CARDINAL
ejpam-4656	683	3	2012	DATE
ejpam-4656	684	1	17	CARDINAL
ejpam-4656	684	2	m. lemanska	PERSON
ejpam-4656	686	1	24:181	CARDINAL
ejpam-4656	686	2	188	CARDINAL
ejpam-4656	686	3	2004	DATE
ejpam-4656	687	1	335	CARDINAL
ejpam-4656	687	2	18	CARDINAL
ejpam-4656	687	3	c. natarajan	PERSON
ejpam-4656	687	4	s. ayyaswamy	ORG
ejpam-4656	688	1	versita	PERSON
ejpam-4656	688	2	23(2):187	CARDINAL
ejpam-4656	688	3	199	CARDINAL
ejpam-4656	688	4	2015	DATE
ejpam-4656	689	1	19	CARDINAL
ejpam-4656	689	2	h. rara	PERSON
ejpam-4656	691	1	asian	NORP
ejpam-4656	692	1	j. math	PERSON
ejpam-4656	692	2	11(5):1850075–1–1850075–11, 2018	DATE
ejpam-4656	693	1	20	CARDINAL
ejpam-4656	693	2	r. rakim	PERSON
ejpam-4656	693	3	h. rara	PERSON
ejpam-4656	693	4	c.j.	ORG
ejpam-4656	695	1	12(13):635–649, 2018	DATE
ejpam-4656	696	1	21	CARDINAL
ejpam-4656	696	2	g. salasalan	PERSON
ejpam-4656	696	3	s. canoy jr.	PERSON
ejpam-4656	698	1	j. pure	PERSON
ejpam-4656	698	2	14(1):112–125	DATE
ejpam-4656	698	3	2021	DATE