id	sid	eid	entity	type
ejpam-4453	1	1	european journal	ORG
ejpam-4453	2	1	15	CARDINAL
ejpam-4453	2	2	4	CARDINAL
ejpam-4453	2	3	2022	CARDINAL
ejpam-4453	2	4	1536	CARDINAL
ejpam-4453	2	5	1307-5543	DATE
ejpam-4453	2	6	new york	GPE
ejpam-4453	2	7	alex ralph baisa nieva1,∗	PERSON
ejpam-4453	3	1	1	CARDINAL
ejpam-4453	3	2	camarines sur polytechnic colleges	ORG
ejpam-4453	3	3	2	CARDINAL
ejpam-4453	3	4	faculty/batangas state university	ORG
ejpam-4453	3	5	batangas city	GPE
ejpam-4453	3	6	philippines	GPE
ejpam-4453	5	1	3	CARDINAL
ejpam-4453	6	1	1	CARDINAL
ejpam-4453	8	1	2017	CARDINAL
ejpam-4453	9	1	two	CARDINAL
ejpam-4453	11	1	2020	DATE
ejpam-4453	11	2	05c07,05c15,05c62	CARDINAL
ejpam-4453	11	3	ntcbg 1	DATE
ejpam-4453	12	1	the years	DATE
ejpam-4453	13	1	3	CARDINAL
ejpam-4453	13	2	2	CARDINAL
ejpam-4453	13	3	3	CARDINAL
ejpam-4453	14	1	1	CARDINAL
ejpam-4453	16	1	2010	DATE
ejpam-4453	16	2	non-hamiltonian	NORP
ejpam-4453	16	3	1	CARDINAL
ejpam-4453	16	4	4	CARDINAL
ejpam-4453	17	1	non-hamiltonian	NORP
ejpam-4453	18	1	two	CARDINAL
ejpam-4453	19	1	zoeram	ORG
ejpam-4453	19	2	2017	DATE
ejpam-4453	19	3	6	CARDINAL
ejpam-4453	20	1	7	CARDINAL
ejpam-4453	22	1	a.r nieva	PERSON
ejpam-4453	22	2	karen.nocum@g.batstate-u.edu.ph (	PERCENT
ejpam-4453	22	3	1536	CARDINAL
ejpam-4453	23	1	2022	CARDINAL
ejpam-4453	24	1	a.r nieva	PERSON
ejpam-4453	25	1	j. pure	PERSON
ejpam-4453	25	2	15	CARDINAL
ejpam-4453	25	3	4	CARDINAL
ejpam-4453	25	4	2022	CARDINAL
ejpam-4453	25	5	1536-1548 1537	DATE
ejpam-4453	25	6	2	CARDINAL
ejpam-4453	27	1	2	CARDINAL
ejpam-4453	27	2	5	CARDINAL
ejpam-4453	30	1	1	CARDINAL
ejpam-4453	32	1	xn−1	GPE
ejpam-4453	33	1	⊆	CARDINAL
ejpam-4453	33	2	⊆	CARDINAL
ejpam-4453	33	3	g. the union	ORG
ejpam-4453	33	4	g1	ORG
ejpam-4453	35	1	one	CARDINAL
ejpam-4453	36	1	1	CARDINAL
ejpam-4453	38	1	n ∈ n	ORG
ejpam-4453	38	2	⊙	LAW
ejpam-4453	39	1	⊙	ORG
ejpam-4453	41	1	1	CARDINAL
ejpam-4453	42	1	5	CARDINAL
ejpam-4453	42	2	3	CARDINAL
ejpam-4453	44	1	2	CARDINAL
ejpam-4453	45	1	5	CARDINAL
ejpam-4453	45	2	χ(g	PRODUCT
ejpam-4453	46	1	1	CARDINAL
ejpam-4453	47	1	5	CARDINAL
ejpam-4453	47	2	χ(g	PRODUCT
ejpam-4453	47	3	ω(g	ORG
ejpam-4453	48	1	2	CARDINAL
ejpam-4453	50	1	3	CARDINAL
ejpam-4453	51	1	3	CARDINAL
ejpam-4453	51	2	χ(g	PRODUCT
ejpam-4453	52	1	a.r nieva	PERSON
ejpam-4453	53	1	j. pure	PERSON
ejpam-4453	53	2	15	CARDINAL
ejpam-4453	53	3	4	CARDINAL
ejpam-4453	53	4	2022	CARDINAL
ejpam-4453	53	5	1536-1548 1538	CARDINAL
ejpam-4453	53	6	4	CARDINAL
ejpam-4453	54	1	5	CARDINAL
ejpam-4453	55	1	3	CARDINAL
ejpam-4453	56	1	5	CARDINAL
ejpam-4453	57	1	∆(t	ORG
ejpam-4453	58	1	3	CARDINAL
ejpam-4453	58	2	2	CARDINAL
ejpam-4453	58	3	6	CARDINAL
ejpam-4453	59	1	k ≤ 3	ORG
ejpam-4453	60	1	two	CARDINAL
ejpam-4453	61	1	k(g − s	PERSON
ejpam-4453	61	2	s. theorem 7	ORG
ejpam-4453	62	1	5	CARDINAL
ejpam-4453	62	2	k(g − s	ORG
ejpam-4453	63	1	7	CARDINAL
ejpam-4453	64	1	k(g− s	ORG
ejpam-4453	64	2	7	CARDINAL
ejpam-4453	67	1	8	CARDINAL
ejpam-4453	68	1	6	CARDINAL
ejpam-4453	68	2	k(g − s	ORG
ejpam-4453	68	3	+ 1	DATE
ejpam-4453	69	1	8	CARDINAL
ejpam-4453	69	2	k(g − s	ORG
ejpam-4453	70	1	+ 1	DATE
ejpam-4453	71	1	k(g − s	ORG
ejpam-4453	72	1	+ 1	DATE
ejpam-4453	73	1	3	CARDINAL
ejpam-4453	73	2	two	CARDINAL
ejpam-4453	75	1	1	CARDINAL
ejpam-4453	76	1	3	CARDINAL
ejpam-4453	77	1	1	CARDINAL
ejpam-4453	77	2	3	CARDINAL
ejpam-4453	78	1	a.r nieva	PERSON
ejpam-4453	79	1	j. pure	PERSON
ejpam-4453	79	2	15	CARDINAL
ejpam-4453	79	3	4	CARDINAL
ejpam-4453	79	4	2022	CARDINAL
ejpam-4453	79	5	1536-1548 1539	CARDINAL
ejpam-4453	79	6	1	CARDINAL
ejpam-4453	80	1	8	CARDINAL
ejpam-4453	102	1	..........	PERSON
ejpam-4453	143	1	1	CARDINAL
ejpam-4453	143	2	ntcbg	ORG
ejpam-4453	143	3	1 and 3	CARDINAL
ejpam-4453	143	4	4	CARDINAL
ejpam-4453	143	5	2	CARDINAL
ejpam-4453	144	1	2	CARDINAL
ejpam-4453	145	1	8	CARDINAL
ejpam-4453	146	1	2	CARDINAL
ejpam-4453	146	2	3	CARDINAL
ejpam-4453	147	1	1	CARDINAL
ejpam-4453	177	1	h6	ORG
ejpam-4453	177	2	2	CARDINAL
ejpam-4453	177	3	4	CARDINAL
ejpam-4453	177	4	two	CARDINAL
ejpam-4453	180	1	∗ 1	DATE
ejpam-4453	180	2	3	CARDINAL
ejpam-4453	180	3	∗ 1	DATE
ejpam-4453	180	4	3	CARDINAL
ejpam-4453	189	1	∗ 1	DATE
ejpam-4453	201	1	2	CARDINAL
ejpam-4453	218	1	∗ 3	DATE
ejpam-4453	240	1	3	CARDINAL
ejpam-4453	240	2	1	CARDINAL
ejpam-4453	241	1	2(kc	CARDINAL
ejpam-4453	242	1	1	CARDINAL
ejpam-4453	242	2	kc ≥ 3	PERSON
ejpam-4453	243	1	1	CARDINAL
ejpam-4453	243	2	3	CARDINAL
ejpam-4453	244	1	3	CARDINAL
ejpam-4453	245	1	theorems a.r nieva	ORG
ejpam-4453	246	1	j. pure	PERSON
ejpam-4453	246	2	15	CARDINAL
ejpam-4453	246	3	4	CARDINAL
ejpam-4453	246	4	2022	CARDINAL
ejpam-4453	246	5	1536	CARDINAL
ejpam-4453	246	6	6	DATE
ejpam-4453	246	7	2	CARDINAL
ejpam-4453	249	1	2	CARDINAL
ejpam-4453	249	2	2kc	ORDINAL
ejpam-4453	249	3	2	CARDINAL
ejpam-4453	249	4	2(kc	CARDINAL
ejpam-4453	250	1	1	CARDINAL
ejpam-4453	251	1	2(kc	CARDINAL
ejpam-4453	252	1	1	CARDINAL
ejpam-4453	252	2	kc ≥ 3	PERSON
ejpam-4453	252	3	1	CARDINAL
ejpam-4453	253	1	2(kc	CARDINAL
ejpam-4453	254	1	1	CARDINAL
ejpam-4453	254	2	kc	PERSON
ejpam-4453	255	1	3	CARDINAL
ejpam-4453	255	2	2(p+ 1	CARDINAL
ejpam-4453	255	3	3	CARDINAL
ejpam-4453	256	1	4	CARDINAL
ejpam-4453	258	1	3	CARDINAL
ejpam-4453	258	2	4	CARDINAL
ejpam-4453	263	1	1	CARDINAL
ejpam-4453	265	1	3	CARDINAL
ejpam-4453	269	1	..........	PERSON
ejpam-4453	277	1	v1 v2	PERSON
ejpam-4453	278	1	5	CARDINAL
ejpam-4453	282	1	..........	PERSON
ejpam-4453	292	1	4	CARDINAL
ejpam-4453	292	2	3	CARDINAL
ejpam-4453	292	3	5	CARDINAL
ejpam-4453	292	4	6	CARDINAL
ejpam-4453	293	1	2(m− 1	DATE
ejpam-4453	293	2	1	CARDINAL
ejpam-4453	294	1	2	CARDINAL
ejpam-4453	305	1	4	CARDINAL
ejpam-4453	305	2	..........	PERSON
ejpam-4453	305	3	..........	PERSON
ejpam-4453	308	1	6	CARDINAL
ejpam-4453	312	1	..........	PERSON
ejpam-4453	319	1	..........	PERSON
ejpam-4453	329	1	v3 v2 .....	PERSON
ejpam-4453	330	1	5	CARDINAL
ejpam-4453	330	2	4 ..........	QUANTITY
ejpam-4453	342	1	........	PERSON
ejpam-4453	350	1	2	CARDINAL
ejpam-4453	350	2	........	PERSON
ejpam-4453	350	3	........	PERSON
ejpam-4453	350	4	........	PERSON
ejpam-4453	367	1	........	PERSON
ejpam-4453	369	1	........	PERSON
ejpam-4453	375	1	........	PERSON
ejpam-4453	379	1	6	CARDINAL
ejpam-4453	380	1	a.r nieva	PERSON
ejpam-4453	381	1	j. pure	PERSON
ejpam-4453	381	2	15	CARDINAL
ejpam-4453	381	3	4	CARDINAL
ejpam-4453	381	4	2022	CARDINAL
ejpam-4453	381	5	1536-1548 1541	CARDINAL
ejpam-4453	381	6	2	CARDINAL
ejpam-4453	382	1	kc ≥ 3	ORG
ejpam-4453	382	2	3	CARDINAL
ejpam-4453	385	1	kc ≥ 3	PERSON
ejpam-4453	385	2	3	CARDINAL
ejpam-4453	385	3	1	CARDINAL
ejpam-4453	386	1	2(m− 1	DATE
ejpam-4453	386	2	kc +	ORG
ejpam-4453	386	3	2(m− 1	DATE
ejpam-4453	386	4	2(m− 1	DATE
ejpam-4453	387	1	kc + p′	ORG
ejpam-4453	387	2	= kc +	PERSON
ejpam-4453	387	3	2(m− 1	DATE
ejpam-4453	390	1	kc	ORG
ejpam-4453	391	1	2	CARDINAL
ejpam-4453	391	2	= kc	PERSON
ejpam-4453	393	1	3	CARDINAL
ejpam-4453	395	1	2(kc	DATE
ejpam-4453	396	1	1	CARDINAL
ejpam-4453	396	2	kc ≥ 3	PERSON
ejpam-4453	398	1	kc	PERSON
ejpam-4453	399	1	2	CARDINAL
ejpam-4453	400	1	2	CARDINAL
ejpam-4453	402	1	kc + p′	ORG
ejpam-4453	404	1	2	CARDINAL
ejpam-4453	404	2	2kc	ORDINAL
ejpam-4453	404	3	2	CARDINAL
ejpam-4453	404	4	2(kc	CARDINAL
ejpam-4453	405	1	1	CARDINAL
ejpam-4453	407	1	7	CARDINAL
ejpam-4453	423	1	c3 c4 c5 c6	PERSON
ejpam-4453	424	1	ck−1	ORG
ejpam-4453	437	1	c3 c4 c5 c6 ck−1	PERSON
ejpam-4453	460	1	a5 a6 ak−1 ak	ORG
ejpam-4453	460	2	⊙	ORG
ejpam-4453	460	3	7	CARDINAL
ejpam-4453	460	4	9	CARDINAL
ejpam-4453	461	1	ntcbg	CARDINAL
ejpam-4453	462	1	a.r nieva	PERSON
ejpam-4453	463	1	j. pure	PERSON
ejpam-4453	463	2	15	CARDINAL
ejpam-4453	463	3	4	CARDINAL
ejpam-4453	463	4	2022	CARDINAL
ejpam-4453	463	5	1536-1548 1542	CARDINAL
ejpam-4453	466	1	hk	ORG
ejpam-4453	467	1	one	CARDINAL
ejpam-4453	468	1	3	CARDINAL
ejpam-4453	468	2	1	CARDINAL
ejpam-4453	469	1	3	CARDINAL
ejpam-4453	471	1	hk	ORG
ejpam-4453	473	1	hk	LOC
ejpam-4453	473	2	3	CARDINAL
ejpam-4453	473	3	2	CARDINAL
ejpam-4453	473	4	hk	ORG
ejpam-4453	474	1	hk	ORG
ejpam-4453	477	1	2	CARDINAL
ejpam-4453	479	1	4	CARDINAL
ejpam-4453	481	1	2k	CARDINAL
ejpam-4453	484	1	one	CARDINAL
ejpam-4453	485	1	k pendant	ORG
ejpam-4453	487	1	2k	CARDINAL
ejpam-4453	487	2	2k	CARDINAL
ejpam-4453	488	1	2k	CARDINAL
ejpam-4453	490	1	2	CARDINAL
ejpam-4453	493	1	one	CARDINAL
ejpam-4453	493	2	2	CARDINAL
ejpam-4453	493	3	one	CARDINAL
ejpam-4453	495	1	first	ORDINAL
ejpam-4453	495	2	8	CARDINAL
ejpam-4453	496	1	secondly	ORDINAL
ejpam-4453	496	2	ntcbg	GPE
ejpam-4453	496	3	8(b	CARDINAL
ejpam-4453	498	1	two	CARDINAL
ejpam-4453	498	2	2	CARDINAL
ejpam-4453	499	1	one	CARDINAL
ejpam-4453	499	2	s.	GPE
ejpam-4453	499	3	8	CARDINAL
ejpam-4453	500	1	3	CARDINAL
ejpam-4453	501	1	8	CARDINAL
ejpam-4453	504	1	ntcbg g	PERSON
ejpam-4453	505	1	3	CARDINAL
ejpam-4453	505	2	a.r nieva	PERSON
ejpam-4453	506	1	j. pure	PERSON
ejpam-4453	506	2	15	CARDINAL
ejpam-4453	506	3	4	CARDINAL
ejpam-4453	506	4	2022	CARDINAL
ejpam-4453	506	5	1536-1548 1543	CARDINAL
ejpam-4453	528	1	..........	PERSON
ejpam-4453	560	1	..........	PERSON
ejpam-4453	588	1	..........	PERSON
ejpam-4453	601	1	v1 v2 v3	PERSON
ejpam-4453	621	1	..........	PERSON
ejpam-4453	635	1	..........	PERSON
ejpam-4453	653	1	8	CARDINAL
ejpam-4453	655	1	1	CARDINAL
ejpam-4453	656	1	2b	CARDINAL
ejpam-4453	656	2	4	CARDINAL
ejpam-4453	657	1	2(b− 1	DATE
ejpam-4453	657	2	3	CARDINAL
ejpam-4453	659	1	4kc	ORDINAL
ejpam-4453	662	1	2(b− 1	CARDINAL
ejpam-4453	663	1	kc	PERSON
ejpam-4453	663	2	ci	PERSON
ejpam-4453	665	1	1	CARDINAL
ejpam-4453	666	1	1	CARDINAL
ejpam-4453	667	1	3)∑	CARDINAL
ejpam-4453	667	2	2(3kc)−	CARDINAL
ejpam-4453	667	3	4kc	ORDINAL
ejpam-4453	667	4	4kc	CARDINAL
ejpam-4453	668	1	4	CARDINAL
ejpam-4453	668	2	ntcbg now	DATE
ejpam-4453	668	3	one	CARDINAL
ejpam-4453	669	1	1	CARDINAL
ejpam-4453	670	1	∆(t	ORG
ejpam-4453	671	1	3	CARDINAL
ejpam-4453	673	1	3	CARDINAL
ejpam-4453	682	1	one	CARDINAL
ejpam-4453	682	2	v2, v3	GPE
ejpam-4453	683	1	a.r nieva	PERSON
ejpam-4453	684	1	j. pure	PERSON
ejpam-4453	684	2	15	CARDINAL
ejpam-4453	684	3	4	CARDINAL
ejpam-4453	684	4	2022	CARDINAL
ejpam-4453	684	5	1536-1548 1544	CARDINAL
ejpam-4453	684	6	5	CARDINAL
ejpam-4453	686	1	+ 2	DATE
ejpam-4453	686	2	3	CARDINAL
ejpam-4453	686	3	3	CARDINAL
ejpam-4453	687	1	2	CARDINAL
ejpam-4453	688	1	2	CARDINAL
ejpam-4453	693	1	3	CARDINAL
ejpam-4453	693	2	6	CARDINAL
ejpam-4453	694	1	1	CARDINAL
ejpam-4453	694	2	2 + 4kc	DATE
ejpam-4453	694	3	2	CARDINAL
ejpam-4453	694	4	2	CARDINAL
ejpam-4453	694	5	3	CARDINAL
ejpam-4453	695	1	16	CARDINAL
ejpam-4453	696	1	3	CARDINAL
ejpam-4453	697	1	2	CARDINAL
ejpam-4453	697	2	3	CARDINAL
ejpam-4453	698	1	4a1	DATE
ejpam-4453	700	1	2	CARDINAL
ejpam-4453	700	2	2	CARDINAL
ejpam-4453	701	1	6kc	CARDINAL
ejpam-4453	701	2	2	CARDINAL
ejpam-4453	701	3	5	CARDINAL
ejpam-4453	702	1	2	CARDINAL
ejpam-4453	704	1	2	CARDINAL
ejpam-4453	704	2	2	CARDINAL
ejpam-4453	704	3	6kc	ORDINAL
ejpam-4453	704	4	4kc	ORDINAL
ejpam-4453	704	5	= kc	PERSON
ejpam-4453	704	6	4a1	CARDINAL
ejpam-4453	704	7	10	CARDINAL
ejpam-4453	706	1	3 ≤	QUANTITY
ejpam-4453	706	2	6	CARDINAL
ejpam-4453	709	1	1	CARDINAL
ejpam-4453	709	2	3-ended	DATE
ejpam-4453	710	1	3 ≤	QUANTITY
ejpam-4453	711	1	6	CARDINAL
ejpam-4453	712	1	lemma 2	ORG
ejpam-4453	712	2	2	CARDINAL
ejpam-4453	712	3	3	CARDINAL
ejpam-4453	712	4	4a1	CARDINAL
ejpam-4453	713	1	2	CARDINAL
ejpam-4453	714	1	j. pure	PERSON
ejpam-4453	714	2	15	CARDINAL
ejpam-4453	714	3	4	CARDINAL
ejpam-4453	714	4	2022	CARDINAL
ejpam-4453	714	5	1536	CARDINAL
ejpam-4453	714	6	2 6	CARDINAL
ejpam-4453	714	7	kc	PERSON
ejpam-4453	714	8	kc	PERSON
ejpam-4453	714	9	3 ≤	QUANTITY
ejpam-4453	714	10	6	CARDINAL
ejpam-4453	715	1	2	CARDINAL
ejpam-4453	717	1	t ′	DATE
ejpam-4453	717	2	3 ≤ |leaf(t ′)| ≤	QUANTITY
ejpam-4453	717	3	6	CARDINAL
ejpam-4453	718	1	10	CARDINAL
ejpam-4453	719	1	5	CARDINAL
ejpam-4453	719	2	two	CARDINAL
ejpam-4453	720	1	ntcbg	CARDINAL
ejpam-4453	720	2	11	CARDINAL
ejpam-4453	721	1	3	CARDINAL
ejpam-4453	723	1	2	CARDINAL
ejpam-4453	724	1	2,3	CARDINAL
ejpam-4453	724	2	4	CARDINAL
ejpam-4453	725	1	b̂i	GPE
ejpam-4453	725	2	3	CARDINAL
ejpam-4453	727	1	1	CARDINAL
ejpam-4453	727	2	2	CARDINAL
ejpam-4453	728	1	2	CARDINAL
ejpam-4453	728	2	b̂i	GPE
ejpam-4453	728	3	3	CARDINAL
ejpam-4453	729	1	2	CARDINAL
ejpam-4453	729	2	1	CARDINAL
ejpam-4453	729	3	2	CARDINAL
ejpam-4453	730	1	vi ∈	PERSON
ejpam-4453	730	2	three	CARDINAL
ejpam-4453	731	1	2	CARDINAL
ejpam-4453	733	1	1	CARDINAL
ejpam-4453	734	1	3	CARDINAL
ejpam-4453	735	1	3	CARDINAL
ejpam-4453	735	2	2	CARDINAL
ejpam-4453	735	3	two	CARDINAL
ejpam-4453	735	4	3	CARDINAL
ejpam-4453	736	1	3	CARDINAL
ejpam-4453	737	1	b̂i	GPE
ejpam-4453	737	2	3	CARDINAL
ejpam-4453	738	1	3	CARDINAL
ejpam-4453	738	2	1,2	CARDINAL
ejpam-4453	738	3	3	CARDINAL
ejpam-4453	739	1	vi ∈	PERSON
ejpam-4453	739	2	two	CARDINAL
ejpam-4453	739	3	2	CARDINAL
ejpam-4453	741	1	two	CARDINAL
ejpam-4453	741	2	a.r nieva	PERSON
ejpam-4453	742	1	j. pure	PERSON
ejpam-4453	742	2	15	CARDINAL
ejpam-4453	742	3	4	CARDINAL
ejpam-4453	742	4	2022	CARDINAL
ejpam-4453	742	5	1536-1548 1546	CARDINAL
ejpam-4453	742	6	1,2	CARDINAL
ejpam-4453	742	7	3	CARDINAL
ejpam-4453	742	8	two	CARDINAL
ejpam-4453	743	1	3	CARDINAL
ejpam-4453	743	2	3	CARDINAL
ejpam-4453	743	3	4	CARDINAL
ejpam-4453	743	4	4	CARDINAL
ejpam-4453	743	5	brooks theorem	ORG
ejpam-4453	743	6	2	CARDINAL
ejpam-4453	744	1	b̂i	GPE
ejpam-4453	744	2	3	CARDINAL
ejpam-4453	745	1	4	CARDINAL
ejpam-4453	745	2	2	CARDINAL
ejpam-4453	747	1	b̂i	GPE
ejpam-4453	748	1	only two	CARDINAL
ejpam-4453	748	2	1,2,3	CARDINAL
ejpam-4453	748	3	4	CARDINAL
ejpam-4453	748	4	1	CARDINAL
ejpam-4453	748	5	2	CARDINAL
ejpam-4453	749	1	3	CARDINAL
ejpam-4453	749	2	4	CARDINAL
ejpam-4453	749	3	b̂i	GPE
ejpam-4453	750	1	1 or 2	CARDINAL
ejpam-4453	750	2	3,4	CARDINAL
ejpam-4453	750	3	1	CARDINAL
ejpam-4453	750	4	2	CARDINAL
ejpam-4453	751	1	3	CARDINAL
ejpam-4453	751	2	3	CARDINAL
ejpam-4453	751	3	9	CARDINAL
ejpam-4453	752	1	2	CARDINAL
ejpam-4453	752	2	1	CARDINAL
ejpam-4453	752	3	2	CARDINAL
ejpam-4453	752	4	1	CARDINAL
ejpam-4453	752	5	2	CARDINAL
ejpam-4453	753	1	1	CARDINAL
ejpam-4453	753	2	9	CARDINAL
ejpam-4453	754	1	2	CARDINAL
ejpam-4453	754	2	3	CARDINAL
ejpam-4453	755	1	3	CARDINAL
ejpam-4453	755	2	10	CARDINAL
ejpam-4453	756	1	two	CARDINAL
ejpam-4453	757	1	two	CARDINAL
ejpam-4453	758	1	3	CARDINAL
ejpam-4453	758	2	3	CARDINAL
ejpam-4453	759	1	11	CARDINAL
ejpam-4453	759	2	3	CARDINAL
ejpam-4453	759	3	11	CARDINAL
ejpam-4453	759	4	3	CARDINAL
ejpam-4453	759	5	4	CARDINAL
ejpam-4453	762	1	1 2	CARDINAL
ejpam-4453	788	1	1 1 1 1 11	QUANTITY
ejpam-4453	788	2	1 2	CARDINAL
ejpam-4453	789	1	1 1 1 1 11	QUANTITY
ejpam-4453	794	1	3 3 3 3	TIME
ejpam-4453	794	2	9	CARDINAL
ejpam-4453	794	3	2	CARDINAL
ejpam-4453	794	4	12	CARDINAL
ejpam-4453	795	1	χ(g	PRODUCT
ejpam-4453	796	1	3	CARDINAL
ejpam-4453	796	2	a.r nieva	PERSON
ejpam-4453	797	1	j. pure	PERSON
ejpam-4453	797	2	15	CARDINAL
ejpam-4453	797	3	4	CARDINAL
ejpam-4453	797	4	2022	CARDINAL
ejpam-4453	797	5	1536-1548 1547	CARDINAL
ejpam-4453	802	1	........	PERSON
ejpam-4453	805	1	........	PERSON
ejpam-4453	811	1	1 2	CARDINAL
ejpam-4453	817	1	........	PERSON
ejpam-4453	820	1	........	PERSON
ejpam-4453	826	1	10	CARDINAL
ejpam-4453	826	2	3	CARDINAL
ejpam-4453	840	1	1	CARDINAL
ejpam-4453	840	2	4	CARDINAL
ejpam-4453	854	1	1	CARDINAL
ejpam-4453	854	2	2	CARDINAL
ejpam-4453	854	3	4	CARDINAL
ejpam-4453	864	1	11	CARDINAL
ejpam-4453	864	2	4	CARDINAL
ejpam-4453	865	1	4 χ(b̂i) ≤	QUANTITY
ejpam-4453	866	1	11	CARDINAL
ejpam-4453	867	1	3	CARDINAL
ejpam-4453	867	2	3 ≤ χ(g	QUANTITY
ejpam-4453	868	1	3	CARDINAL
ejpam-4453	868	2	brooks’ theorem	ORG
ejpam-4453	868	3	χ(g	PRODUCT
ejpam-4453	868	4	χ(g	LAW
ejpam-4453	869	1	3 ≤ χ(g	QUANTITY
ejpam-4453	870	1	3	CARDINAL
ejpam-4453	891	1	..........	PERSON
ejpam-4453	894	1	..............................	PERSON
ejpam-4453	900	1	1 1 1 1 1	CARDINAL
ejpam-4453	917	1	..........	PERSON
ejpam-4453	922	1	1 1	CARDINAL
ejpam-4453	934	1	g3	PERSON
ejpam-4453	934	2	3 3 3 3 3 33	TIME
ejpam-4453	967	1	12	CARDINAL
ejpam-4453	967	2	4	CARDINAL
ejpam-4453	968	1	3 ≤ k ≤ n. corollary	QUANTITY
ejpam-4453	968	2	3	CARDINAL
ejpam-4453	969	1	ω(g) ≤ 3	MONEY
ejpam-4453	971	1	1	CARDINAL
ejpam-4453	971	2	χ(g	PRODUCT
ejpam-4453	972	1	12	CARDINAL
ejpam-4453	972	2	χ(g	PRODUCT
ejpam-4453	973	1	3	CARDINAL
ejpam-4453	973	2	3	CARDINAL
ejpam-4453	973	3	only two	CARDINAL
ejpam-4453	973	4	ω(g	NORP
ejpam-4453	973	5	ω(g	NORP
ejpam-4453	974	1	2	CARDINAL
ejpam-4453	974	2	ω(g	NORP
ejpam-4453	975	1	3	CARDINAL
ejpam-4453	975	2	1548 6	DATE
ejpam-4453	982	1	3 ≤ k ≤	QUANTITY
ejpam-4453	982	2	6	CARDINAL
ejpam-4453	984	1	european journal	ORG
ejpam-4453	986	1	1	CARDINAL
ejpam-4453	988	1	australasian journal of combinatorics	ORG
ejpam-4453	988	2	33:99–107, 2005	DATE
ejpam-4453	989	1	2	CARDINAL
ejpam-4453	991	1	inc.	ORG
ejpam-4453	991	2	new york	GPE
ejpam-4453	991	3	1998	DATE
ejpam-4453	992	1	3	CARDINAL
ejpam-4453	994	1	cambridge	GPE
ejpam-4453	994	2	37:194	CARDINAL
ejpam-4453	994	3	197	CARDINAL
ejpam-4453	995	1	4	CARDINAL
ejpam-4453	995	2	haythorpe	PERSON
ejpam-4453	995	3	g nguyen	PERSON
ejpam-4453	997	1	discussiones mathematicae	PERSON
ejpam-4453	998	1	30(1):175–179	CARDINAL
ejpam-4453	998	2	2010	DATE
ejpam-4453	999	1	5	CARDINAL
ejpam-4453	999	2	l lesniak	PERSON
ejpam-4453	999	3	p zhang	PERSON
ejpam-4453	999	4	sixth	ORDINAL
ejpam-4453	1000	1	crc press	ORG
ejpam-4453	1000	2	parkway nw	FAC
ejpam-4453	1000	3	300	CARDINAL
ejpam-4453	1000	4	2016	DATE
ejpam-4453	1001	1	6	CARDINAL
ejpam-4453	1002	1	second	ORDINAL
ejpam-4453	1003	1	pearson education, inc	ORG
ejpam-4453	1003	2	singapore	GPE
ejpam-4453	1003	3	2001	DATE
ejpam-4453	1004	1	7	CARDINAL
ejpam-4453	1005	1	3	CARDINAL
ejpam-4453	1006	1	5(2):207–211	CARDINAL
ejpam-4453	1006	2	2017	DATE