id	sid	eid	entity	type
ejpam-5734	1	1	european journal	ORG
ejpam-5734	1	2	2025	DATE
ejpam-5734	1	3	18	CARDINAL
ejpam-5734	1	4	2	CARDINAL
ejpam-5734	1	5	5734	CARDINAL
ejpam-5734	1	6	1307-5543	DATE
ejpam-5734	1	7	new york	GPE
ejpam-5734	1	8	merliza f. libao1,∗	PERSON
ejpam-5734	1	9	kyla b. abarca1	PERSON
ejpam-5734	1	10	1	CARDINAL
ejpam-5734	1	11	caraga state university	ORG
ejpam-5734	1	12	butuan city	GPE
ejpam-5734	1	13	philippines	GPE
ejpam-5734	4	1	χ(g	PRODUCT
ejpam-5734	4	2	two	CARDINAL
ejpam-5734	5	1	two	CARDINAL
ejpam-5734	5	2	2	CARDINAL
ejpam-5734	7	1	2020	DATE
ejpam-5734	7	2	05c15	CARDINAL
ejpam-5734	7	3	05c90	CARDINAL
ejpam-5734	7	4	68r10	CARDINAL
ejpam-5734	7	5	1	CARDINAL
ejpam-5734	9	1	francis guthrie	PERSON
ejpam-5734	9	2	1852	DATE
ejpam-5734	9	3	four	CARDINAL
ejpam-5734	9	4	two	CARDINAL
ejpam-5734	10	1	1	CARDINAL
ejpam-5734	11	1	guthrie	PERSON
ejpam-5734	11	2	frederick guthrie	PERSON
ejpam-5734	11	3	augustus de morgan	ORG
ejpam-5734	12	1	de morgan	PERSON
ejpam-5734	12	2	2	CARDINAL
ejpam-5734	13	1	3	CARDINAL
ejpam-5734	13	2	two	CARDINAL
ejpam-5734	15	1	mflibao@carsu.edu.ph	ORG
ejpam-5734	15	2	m. f. libao	PERSON
ejpam-5734	15	3	kyla.abarca@carsu.edu.ph	GPE
ejpam-5734	15	4	k. b. abarca	PERSON
ejpam-5734	16	1	1	CARDINAL
ejpam-5734	16	2	2025	CARDINAL
ejpam-5734	17	1	m. f. libao	PERSON
ejpam-5734	17	2	k. b. abarca	PERSON
ejpam-5734	18	1	j. pure	PERSON
ejpam-5734	18	2	18	CARDINAL
ejpam-5734	18	3	2	CARDINAL
ejpam-5734	18	4	2025	CARDINAL
ejpam-5734	18	5	5734 2	DATE
ejpam-5734	18	6	25	CARDINAL
ejpam-5734	18	7	χ(g	PRODUCT
ejpam-5734	19	1	one	CARDINAL
ejpam-5734	19	2	four	CARDINAL
ejpam-5734	19	3	no more than four	CARDINAL
ejpam-5734	19	4	1976	DATE
ejpam-5734	20	1	4	CARDINAL
ejpam-5734	21	1	5	CARDINAL
ejpam-5734	21	2	two	CARDINAL
ejpam-5734	21	3	two	CARDINAL
ejpam-5734	21	4	the years	DATE
ejpam-5734	22	1	four	CARDINAL
ejpam-5734	22	2	2023	CARDINAL
ejpam-5734	23	1	6	CARDINAL
ejpam-5734	24	1	four	CARDINAL
ejpam-5734	24	2	ramachandran	PERSON
ejpam-5734	24	3	1978	DATE
ejpam-5734	25	1	7	CARDINAL
ejpam-5734	26	1	3	CARDINAL
ejpam-5734	27	1	four	CARDINAL
ejpam-5734	27	2	six	CARDINAL
ejpam-5734	27	3	four	CARDINAL
ejpam-5734	27	4	8	CARDINAL
ejpam-5734	28	1	2009	DATE
ejpam-5734	28	2	9	CARDINAL
ejpam-5734	29	1	2	CARDINAL
ejpam-5734	32	1	griggs	PERSON
ejpam-5734	32	2	yeh	PERSON
ejpam-5734	32	3	1992	DATE
ejpam-5734	33	1	10	CARDINAL
ejpam-5734	34	1	at least 2	CARDINAL
ejpam-5734	34	2	2	CARDINAL
ejpam-5734	34	3	at least 1	CARDINAL
ejpam-5734	37	1	1970	DATE
ejpam-5734	38	1	11	CARDINAL
ejpam-5734	38	2	two	CARDINAL
ejpam-5734	39	1	first	ORDINAL
ejpam-5734	39	2	1974	DATE
ejpam-5734	39	3	12	CARDINAL
ejpam-5734	42	1	m. f. libao	PERSON
ejpam-5734	42	2	k. b. abarca	PERSON
ejpam-5734	43	1	j. pure	PERSON
ejpam-5734	43	2	18	CARDINAL
ejpam-5734	43	3	2	CARDINAL
ejpam-5734	43	4	2025	CARDINAL
ejpam-5734	43	5	5734 3	DATE
ejpam-5734	43	6	25	CARDINAL
ejpam-5734	43	7	shamim ahmed	PERSON
ejpam-5734	43	8	2012	DATE
ejpam-5734	44	1	ahmed	PERSON
ejpam-5734	44	2	13	CARDINAL
ejpam-5734	46	1	jain	ORG
ejpam-5734	46	2	14	CARDINAL
ejpam-5734	47	1	majeed	PERSON
ejpam-5734	47	2	rauf	PERSON
ejpam-5734	48	1	5	CARDINAL
ejpam-5734	49	1	5	CARDINAL
ejpam-5734	49	2	14	CARDINAL
ejpam-5734	50	1	2	CARDINAL
ejpam-5734	52	1	2	CARDINAL
ejpam-5734	52	2	2	CARDINAL
ejpam-5734	53	1	2.1	CARDINAL
ejpam-5734	54	1	g. g	PERSON
ejpam-5734	55	1	1	CARDINAL
ejpam-5734	55	2	5	CARDINAL
ejpam-5734	55	3	8	CARDINAL
ejpam-5734	55	4	1	CARDINAL
ejpam-5734	55	5	1	CARDINAL
ejpam-5734	57	1	pq	PERSON
ejpam-5734	57	2	st	GPE
ejpam-5734	58	1	5	CARDINAL
ejpam-5734	58	2	8	CARDINAL
ejpam-5734	59	1	2.2	CARDINAL
ejpam-5734	60	1	{vi	PERSON
ejpam-5734	60	2	1 ≤	QUANTITY
ejpam-5734	61	1	1 ≤	QUANTITY
ejpam-5734	62	1	1	CARDINAL
ejpam-5734	64	1	2	CARDINAL
ejpam-5734	65	1	2	CARDINAL
ejpam-5734	65	2	4	CARDINAL
ejpam-5734	67	1	m. f. libao	PERSON
ejpam-5734	67	2	k. b. abarca	PERSON
ejpam-5734	68	1	j. pure	PERSON
ejpam-5734	68	2	18	CARDINAL
ejpam-5734	68	3	2	CARDINAL
ejpam-5734	68	4	2025	CARDINAL
ejpam-5734	68	5	5734 4	DATE
ejpam-5734	68	6	25	CARDINAL
ejpam-5734	68	7	v1 v2 v3v4	PERSON
ejpam-5734	68	8	2	CARDINAL
ejpam-5734	68	9	2.3	CARDINAL
ejpam-5734	69	1	two	CARDINAL
ejpam-5734	70	1	3	CARDINAL
ejpam-5734	70	2	2.4	CARDINAL
ejpam-5734	71	1	d(u	PERSON
ejpam-5734	72	1	3	CARDINAL
ejpam-5734	73	1	3	CARDINAL
ejpam-5734	73	2	2	CARDINAL
ejpam-5734	73	3	2.5	CARDINAL
ejpam-5734	74	1	two	CARDINAL
ejpam-5734	76	1	4	CARDINAL
ejpam-5734	77	1	2	CARDINAL
ejpam-5734	78	1	only one	CARDINAL
ejpam-5734	78	2	four	CARDINAL
ejpam-5734	79	1	c4 is χ(c4	ORG
ejpam-5734	80	1	2	CARDINAL
ejpam-5734	80	2	2.6	CARDINAL
ejpam-5734	82	1	5	CARDINAL
ejpam-5734	83	1	4	CARDINAL
ejpam-5734	85	1	2.7	CARDINAL
ejpam-5734	86	1	two	CARDINAL
ejpam-5734	86	2	g′	PERSON
ejpam-5734	86	3	m. f. libao	PERSON
ejpam-5734	86	4	k. b. abarca	PERSON
ejpam-5734	87	1	j. pure	PERSON
ejpam-5734	87	2	18	CARDINAL
ejpam-5734	87	3	2	CARDINAL
ejpam-5734	87	4	2025	CARDINAL
ejpam-5734	87	5	5734 5	DATE
ejpam-5734	87	6	25	CARDINAL
ejpam-5734	87	7	4	CARDINAL
ejpam-5734	87	8	6	CARDINAL
ejpam-5734	88	1	4	CARDINAL
ejpam-5734	89	1	2.8	CARDINAL
ejpam-5734	91	1	7	CARDINAL
ejpam-5734	92	1	4	CARDINAL
ejpam-5734	93	1	2.9	CARDINAL
ejpam-5734	95	1	ci	PERSON
ejpam-5734	96	1	v3 v2 v3 v4	FAC
ejpam-5734	96	2	c2 c3	PERSON
ejpam-5734	96	3	5	CARDINAL
ejpam-5734	96	4	8	CARDINAL
ejpam-5734	97	1	5	CARDINAL
ejpam-5734	98	1	m. f. libao	PERSON
ejpam-5734	98	2	k. b. abarca	PERSON
ejpam-5734	99	1	j. pure	PERSON
ejpam-5734	99	2	18	CARDINAL
ejpam-5734	99	3	2	CARDINAL
ejpam-5734	99	4	2025	CARDINAL
ejpam-5734	99	5	5734 6	DATE
ejpam-5734	100	1	one	CARDINAL
ejpam-5734	100	2	two	CARDINAL
ejpam-5734	103	1	3.1	CARDINAL
ejpam-5734	105	1	⊆	CARDINAL
ejpam-5734	105	2	d(u	PERSON
ejpam-5734	105	3	3	CARDINAL
ejpam-5734	106	1	two	CARDINAL
ejpam-5734	106	2	two	CARDINAL
ejpam-5734	107	1	6	CARDINAL
ejpam-5734	107	2	2	CARDINAL
ejpam-5734	107	3	9	CARDINAL
ejpam-5734	107	4	6	CARDINAL
ejpam-5734	107	5	v2, v3	GPE
ejpam-5734	108	1	a4={v4}(green	DATE
ejpam-5734	109	1	3	CARDINAL
ejpam-5734	109	2	3.2	CARDINAL
ejpam-5734	111	1	one	CARDINAL
ejpam-5734	111	2	∈	PRODUCT
ejpam-5734	112	1	1	CARDINAL
ejpam-5734	116	1	1.	CARDINAL
ejpam-5734	117	1	∑ a∈c |a|	PERSON
ejpam-5734	117	2	2	CARDINAL
ejpam-5734	117	3	∈	PRODUCT
ejpam-5734	117	4	m. f. libao	PERSON
ejpam-5734	117	5	k. b. abarca	PERSON
ejpam-5734	118	1	j. pure	PERSON
ejpam-5734	118	2	18	CARDINAL
ejpam-5734	118	3	2	CARDINAL
ejpam-5734	118	4	2025	CARDINAL
ejpam-5734	118	5	5734 7	DATE
ejpam-5734	118	6	25	CARDINAL
ejpam-5734	120	1	∑ a∈c |a|	PERSON
ejpam-5734	121	1	a′	ORG
ejpam-5734	121	2	∈	PRODUCT
ejpam-5734	121	3	at least one	CARDINAL
ejpam-5734	121	4	∑ |a|	PERSON
ejpam-5734	123	1	a∈c |a|	PERSON
ejpam-5734	123	2	two	CARDINAL
ejpam-5734	125	1	10	CARDINAL
ejpam-5734	126	1	8	CARDINAL
ejpam-5734	127	1	i.	PERSON
ejpam-5734	127	2	one	CARDINAL
ejpam-5734	127	3	{v2	PERSON
ejpam-5734	129	1	one	CARDINAL
ejpam-5734	129	2	1 + 2 + 1 + 1	DATE
ejpam-5734	129	3	5	CARDINAL
ejpam-5734	129	4	1	CARDINAL
ejpam-5734	130	1	m. f. libao	PERSON
ejpam-5734	130	2	k. b. abarca	PERSON
ejpam-5734	131	1	j. pure	PERSON
ejpam-5734	131	2	18	CARDINAL
ejpam-5734	131	3	2	CARDINAL
ejpam-5734	131	4	2025	CARDINAL
ejpam-5734	131	5	5734 8	DATE
ejpam-5734	131	6	3.3	CARDINAL
ejpam-5734	136	1	11	CARDINAL
ejpam-5734	137	1	4	CARDINAL
ejpam-5734	137	2	4	CARDINAL
ejpam-5734	138	1	3	CARDINAL
ejpam-5734	138	2	c={a1	ORG
ejpam-5734	140	1	2	CARDINAL
ejpam-5734	142	1	1	CARDINAL
ejpam-5734	142	2	2	CARDINAL
ejpam-5734	142	3	d(u	PERSON
ejpam-5734	142	4	3	CARDINAL
ejpam-5734	142	5	4	CARDINAL
ejpam-5734	143	1	distance2	PERSON
ejpam-5734	145	1	two	CARDINAL
ejpam-5734	145	2	two	CARDINAL
ejpam-5734	145	3	distance2	PERSON
ejpam-5734	146	1	4.	CARDINAL
ejpam-5734	146	2	4.1	CARDINAL
ejpam-5734	147	1	4.1.1	CARDINAL
ejpam-5734	148	1	3 ≤ n ≤ 5	QUANTITY
ejpam-5734	150	1	2n	CARDINAL
ejpam-5734	152	1	3 ≤	QUANTITY
ejpam-5734	154	1	1 ≤	QUANTITY
ejpam-5734	155	1	1 ≤	QUANTITY
ejpam-5734	156	1	1 ≤	QUANTITY
ejpam-5734	156	2	1 ≤	QUANTITY
ejpam-5734	158	1	3 ≤ n ≤ 5	QUANTITY
ejpam-5734	159	1	1 ≤	QUANTITY
ejpam-5734	159	2	1	CARDINAL
ejpam-5734	159	3	∈	PRODUCT
ejpam-5734	160	1	m. f. libao	PERSON
ejpam-5734	160	2	k. b. abarca	PERSON
ejpam-5734	161	1	j. pure	PERSON
ejpam-5734	161	2	18	CARDINAL
ejpam-5734	161	3	2	CARDINAL
ejpam-5734	161	4	2025	CARDINAL
ejpam-5734	161	5	5734 9	DATE
ejpam-5734	165	1	∑ a∈c |a|	PERSON
ejpam-5734	166	1	lemma 1	ORG
ejpam-5734	167	1	1 ≤ k ≤ 2n	QUANTITY
ejpam-5734	169	1	∃c ′	ORG
ejpam-5734	169	2	2n	CARDINAL
ejpam-5734	169	3	1	CARDINAL
ejpam-5734	170	1	d(v1	DATE
ejpam-5734	170	2	′ 1	CARDINAL
ejpam-5734	170	3	2	CARDINAL
ejpam-5734	172	1	2n	CARDINAL
ejpam-5734	173	1	2n	CARDINAL
ejpam-5734	174	1	4.1.2	CARDINAL
ejpam-5734	175	1	n ≥ 6	DATE
ejpam-5734	177	1	6	CARDINAL
ejpam-5734	177	2	n ≡ 0	ORG
ejpam-5734	178	1	n ≡ 1	ORG
ejpam-5734	178	2	n ≡ 2	ORG
ejpam-5734	181	1	1 ≤	QUANTITY
ejpam-5734	182	1	1 ≤	QUANTITY
ejpam-5734	184	1	1 ≤	QUANTITY
ejpam-5734	184	2	1 ≤	QUANTITY
ejpam-5734	185	1	1	CARDINAL
ejpam-5734	186	1	1 ≤	QUANTITY
ejpam-5734	186	2	3	CARDINAL
ejpam-5734	186	3	1 ≤	QUANTITY
ejpam-5734	187	1	3	CARDINAL
ejpam-5734	187	2	m. f. libao	PERSON
ejpam-5734	187	3	k. b. abarca	PERSON
ejpam-5734	188	1	j. pure	PERSON
ejpam-5734	188	2	18	CARDINAL
ejpam-5734	188	3	2	CARDINAL
ejpam-5734	188	4	2025	CARDINAL
ejpam-5734	188	5	5734 10	DATE
ejpam-5734	188	6	25	CARDINAL
ejpam-5734	188	7	1 ≤	QUANTITY
ejpam-5734	189	1	3	CARDINAL
ejpam-5734	189	2	1 ≤	QUANTITY
ejpam-5734	189	3	3	CARDINAL
ejpam-5734	189	4	1 ≤	QUANTITY
ejpam-5734	190	1	3	CARDINAL
ejpam-5734	190	2	1 ≤	QUANTITY
ejpam-5734	190	3	3	CARDINAL
ejpam-5734	191	1	i.	PERSON
ejpam-5734	191	2	one	CARDINAL
ejpam-5734	191	3	⋃ a∈c	PERSON
ejpam-5734	191	4	3i−2	CARDINAL
ejpam-5734	191	5	3i−1	PRODUCT
ejpam-5734	191	6	1 ≤	QUANTITY
ejpam-5734	192	1	3	CARDINAL
ejpam-5734	194	1	vn−2	GPE
ejpam-5734	194	2	′ 1	DATE
ejpam-5734	194	3	2	CARDINAL
ejpam-5734	194	4	′ 3	DATE
ejpam-5734	197	1	n−1	ORG
ejpam-5734	200	1	3	CARDINAL
ejpam-5734	200	2	3	CARDINAL
ejpam-5734	200	3	3	CARDINAL
ejpam-5734	200	4	3	CARDINAL
ejpam-5734	200	5	3	CARDINAL
ejpam-5734	200	6	3	CARDINAL
ejpam-5734	200	7	n ≡ 0	ORG
ejpam-5734	200	8	6	CARDINAL
ejpam-5734	200	9	2n	CARDINAL
ejpam-5734	202	1	1	CARDINAL
ejpam-5734	202	2	k ̸= j. next	ORG
ejpam-5734	202	3	1 ≤ k ≤ 6	QUANTITY
ejpam-5734	202	4	d(vi	LAW
ejpam-5734	203	1	3	CARDINAL
ejpam-5734	205	1	6	CARDINAL
ejpam-5734	205	2	′ 3i	CARDINAL
ejpam-5734	205	3	2	CARDINAL
ejpam-5734	206	1	′ 3i	CARDINAL
ejpam-5734	206	2	1	CARDINAL
ejpam-5734	207	1	′ 3i	CARDINAL
ejpam-5734	207	2	2	CARDINAL
ejpam-5734	208	1	′ 3i	CARDINAL
ejpam-5734	208	2	2	CARDINAL
ejpam-5734	209	1	′ 3i	CARDINAL
ejpam-5734	209	2	1	CARDINAL
ejpam-5734	210	1	6	CARDINAL
ejpam-5734	211	1	6	CARDINAL
ejpam-5734	211	2	c6,	ORG
ejpam-5734	211	3	6	CARDINAL
ejpam-5734	211	4	′ 4),pink	CARDINAL
ejpam-5734	211	5	5),yellow	CARDINAL
ejpam-5734	212	1	m. f. libao	PERSON
ejpam-5734	212	2	k. b. abarca	PERSON
ejpam-5734	213	1	j. pure	PERSON
ejpam-5734	213	2	18	CARDINAL
ejpam-5734	213	3	2	CARDINAL
ejpam-5734	213	4	2025	CARDINAL
ejpam-5734	213	5	5734 11	DATE
ejpam-5734	214	1	v1 v2 v3 v′	PERSON
ejpam-5734	214	2	1	CARDINAL
ejpam-5734	214	3	2	CARDINAL
ejpam-5734	214	4	3	CARDINAL
ejpam-5734	214	5	6 v′ 5	TIME
ejpam-5734	214	6	4	CARDINAL
ejpam-5734	214	7	7	CARDINAL
ejpam-5734	215	1	6	CARDINAL
ejpam-5734	215	2	2	CARDINAL
ejpam-5734	216	1	1 ≤	QUANTITY
ejpam-5734	217	1	3	CARDINAL
ejpam-5734	217	2	1 ≤	QUANTITY
ejpam-5734	217	3	3	CARDINAL
ejpam-5734	217	4	1 ≤	QUANTITY
ejpam-5734	217	5	3	CARDINAL
ejpam-5734	217	6	1 ≤	QUANTITY
ejpam-5734	217	7	3	CARDINAL
ejpam-5734	217	8	v′3i+1	DATE
ejpam-5734	217	9	1 ≤	QUANTITY
ejpam-5734	217	10	3	CARDINAL
ejpam-5734	217	11	1 ≤	QUANTITY
ejpam-5734	217	12	3	CARDINAL
ejpam-5734	217	13	v′n−1} i.	PERSON
ejpam-5734	217	14	one	CARDINAL
ejpam-5734	217	15	a1,a2,a3,a4,a5,a6,a7	ORG
ejpam-5734	217	16	m. f. libao	PERSON
ejpam-5734	217	17	k. b. abarca	PERSON
ejpam-5734	218	1	j. pure	PERSON
ejpam-5734	218	2	18	CARDINAL
ejpam-5734	218	3	2	CARDINAL
ejpam-5734	218	4	2025	CARDINAL
ejpam-5734	218	5	5734 12	DATE
ejpam-5734	218	6	1 ≤	QUANTITY
ejpam-5734	218	7	1 ≤	QUANTITY
ejpam-5734	218	8	1	CARDINAL
ejpam-5734	218	9	v′3i+1	CARDINAL
ejpam-5734	218	10	1 ≤	QUANTITY
ejpam-5734	218	11	1 ≤	QUANTITY
ejpam-5734	218	12	1	CARDINAL
ejpam-5734	222	1	v′n−7	PERSON
ejpam-5734	222	2	{v′4	PERSON
ejpam-5734	227	1	v′n−5	GPE
ejpam-5734	228	1	vn−1	ORG
ejpam-5734	228	2	′ 1	DATE
ejpam-5734	228	3	2	CARDINAL
ejpam-5734	228	4	′ 3	DATE
ejpam-5734	231	1	n−1	ORG
ejpam-5734	233	1	3	CARDINAL
ejpam-5734	233	2	3	CARDINAL
ejpam-5734	233	3	3	CARDINAL
ejpam-5734	233	4	1 +	CARDINAL
ejpam-5734	233	5	3	CARDINAL
ejpam-5734	234	1	3	CARDINAL
ejpam-5734	234	2	3	CARDINAL
ejpam-5734	234	3	6	CARDINAL
ejpam-5734	234	4	1 3 + 2	DATE
ejpam-5734	234	5	n ≡ 1	ORG
ejpam-5734	234	6	2n	CARDINAL
ejpam-5734	235	1	lemma 1	ORG
ejpam-5734	235	2	k ̸= j.	ORG
ejpam-5734	235	3	1 ≤ k	QUANTITY
ejpam-5734	235	4	d(vi	FAC
ejpam-5734	235	5	3	CARDINAL
ejpam-5734	236	1	a1,a2,a3,a4,a5,a6,a7	ORG
ejpam-5734	238	1	6	CARDINAL
ejpam-5734	239	1	one	CARDINAL
ejpam-5734	239	2	d(v ′ 2	ORG
ejpam-5734	240	1	1	CARDINAL
ejpam-5734	240	2	1	CARDINAL
ejpam-5734	241	1	m. f. libao	PERSON
ejpam-5734	241	2	k. b. abarca	PERSON
ejpam-5734	242	1	j. pure	PERSON
ejpam-5734	242	2	18	CARDINAL
ejpam-5734	242	3	2	CARDINAL
ejpam-5734	242	4	2025	CARDINAL
ejpam-5734	242	5	5734 13	DATE
ejpam-5734	242	6	25	CARDINAL
ejpam-5734	242	7	2	CARDINAL
ejpam-5734	242	8	1	CARDINAL
ejpam-5734	243	1	1	CARDINAL
ejpam-5734	243	2	1	CARDINAL
ejpam-5734	243	3	′ 3i	CARDINAL
ejpam-5734	244	1	1	CARDINAL
ejpam-5734	244	2	1	CARDINAL
ejpam-5734	244	3	′ 4	CARDINAL
ejpam-5734	244	4	2	CARDINAL
ejpam-5734	244	5	′ 1	CARDINAL
ejpam-5734	244	6	1 a1	QUANTITY
ejpam-5734	244	7	2	CARDINAL
ejpam-5734	244	8	d(v′n−1	PERSON
ejpam-5734	244	9	1	CARDINAL
ejpam-5734	244	10	2	CARDINAL
ejpam-5734	244	11	1	CARDINAL
ejpam-5734	244	12	1	CARDINAL
ejpam-5734	244	13	1	CARDINAL
ejpam-5734	245	1	7	CARDINAL
ejpam-5734	245	2	n ≡ 1	ORG
ejpam-5734	246	1	c7, d2(c7	ORG
ejpam-5734	246	2	7	CARDINAL
ejpam-5734	247	1	′ 7),pink	PERCENT
ejpam-5734	248	1	v1 v2 v3 v4 v5v6v7 v′	PERSON
ejpam-5734	248	2	1	CARDINAL
ejpam-5734	248	3	2 v′ 3	TIME
ejpam-5734	248	4	7	CARDINAL
ejpam-5734	248	5	8	CARDINAL
ejpam-5734	249	1	m. f. libao	PERSON
ejpam-5734	249	2	k. b. abarca	PERSON
ejpam-5734	250	1	j. pure	PERSON
ejpam-5734	250	2	18	CARDINAL
ejpam-5734	250	3	2	CARDINAL
ejpam-5734	250	4	2025	CARDINAL
ejpam-5734	250	5	5734 14	DATE
ejpam-5734	250	6	25	CARDINAL
ejpam-5734	250	7	3	CARDINAL
ejpam-5734	250	8	3 ≤	QUANTITY
ejpam-5734	251	1	3	CARDINAL
ejpam-5734	251	2	{v2	PERSON
ejpam-5734	251	3	3 ≤	QUANTITY
ejpam-5734	251	4	3	CARDINAL
ejpam-5734	251	5	3 ≤	QUANTITY
ejpam-5734	252	1	3	CARDINAL
ejpam-5734	252	2	3 ≤	QUANTITY
ejpam-5734	253	1	3	CARDINAL
ejpam-5734	253	2	v′3i+1	CARDINAL
ejpam-5734	253	3	3 ≤	QUANTITY
ejpam-5734	253	4	3	CARDINAL
ejpam-5734	253	5	3 ≤	QUANTITY
ejpam-5734	254	1	i.	PERSON
ejpam-5734	254	2	one	CARDINAL
ejpam-5734	254	3	⋃	PERSON
ejpam-5734	254	4	a1,a2,a3,a4,a5,a6,a7	ORG
ejpam-5734	254	5	⋃ a∈c	PERSON
ejpam-5734	254	6	3 ≤	QUANTITY
ejpam-5734	255	1	3	CARDINAL
ejpam-5734	255	2	3 ≤	QUANTITY
ejpam-5734	256	1	3	CARDINAL
ejpam-5734	256	2	3 ≤	QUANTITY
ejpam-5734	256	3	3	CARDINAL
ejpam-5734	256	4	3 ≤	QUANTITY
ejpam-5734	256	5	3	CARDINAL
ejpam-5734	256	6	v′3i+1	CARDINAL
ejpam-5734	256	7	3 ≤	QUANTITY
ejpam-5734	256	8	3 ≤	QUANTITY
ejpam-5734	256	9	{v′4	PERSON
ejpam-5734	259	1	vn−4	ORG
ejpam-5734	264	1	v′n−5	GPE
ejpam-5734	265	1	v′n−4	ORG
ejpam-5734	265	2	m. f. libao	PERSON
ejpam-5734	265	3	k. b. abarca	PERSON
ejpam-5734	266	1	j. pure	PERSON
ejpam-5734	266	2	18	CARDINAL
ejpam-5734	266	3	2	CARDINAL
ejpam-5734	266	4	2025	CARDINAL
ejpam-5734	266	5	5734 15	DATE
ejpam-5734	267	1	{v′4	PERSON
ejpam-5734	269	1	vn−1	ORG
ejpam-5734	269	2	′ 1	DATE
ejpam-5734	269	3	2	CARDINAL
ejpam-5734	269	4	′ 3	DATE
ejpam-5734	272	1	n−1	ORG
ejpam-5734	275	1	2 + ⌊n	DATE
ejpam-5734	275	2	3	CARDINAL
ejpam-5734	275	3	2 + ⌊n	DATE
ejpam-5734	275	4	3	CARDINAL
ejpam-5734	275	5	2 + ⌊n	DATE
ejpam-5734	275	6	3	CARDINAL
ejpam-5734	275	7	2 +	DATE
ejpam-5734	275	8	3	CARDINAL
ejpam-5734	275	9	2 + ⌊n	DATE
ejpam-5734	275	10	3	CARDINAL
ejpam-5734	275	11	2 + ⌊n	DATE
ejpam-5734	275	12	3	CARDINAL
ejpam-5734	275	13	6	CARDINAL
ejpam-5734	275	14	2 3	DATE
ejpam-5734	275	15	n ≡ 2	ORG
ejpam-5734	275	16	2n	CARDINAL
ejpam-5734	276	1	1	CARDINAL
ejpam-5734	276	2	k ̸= j.	PERSON
ejpam-5734	276	3	1 ≤ k ≤ 8	QUANTITY
ejpam-5734	276	4	d(vi	PRODUCT
ejpam-5734	276	5	3	CARDINAL
ejpam-5734	277	1	8	CARDINAL
ejpam-5734	277	2	7	CARDINAL
ejpam-5734	279	1	d(v ′ 4	ORG
ejpam-5734	279	2	1	CARDINAL
ejpam-5734	280	1	d(v ′ 4	ORG
ejpam-5734	280	2	2	CARDINAL
ejpam-5734	280	3	d(v ′ 4	ORG
ejpam-5734	280	4	1	CARDINAL
ejpam-5734	280	5	d(v ′ 4	ORG
ejpam-5734	280	6	2	CARDINAL
ejpam-5734	280	7	d(v ′ 4	ORG
ejpam-5734	280	8	′ 5	CARDINAL
ejpam-5734	280	9	1	CARDINAL
ejpam-5734	280	10	d(v ′ 4	ORG
ejpam-5734	280	11	2	CARDINAL
ejpam-5734	281	1	d(v ′ 4	ORG
ejpam-5734	281	2	′ 1	CARDINAL
ejpam-5734	281	3	1	CARDINAL
ejpam-5734	281	4	m. f. libao	PERSON
ejpam-5734	281	5	k. b. abarca	PERSON
ejpam-5734	282	1	j. pure	PERSON
ejpam-5734	282	2	18	CARDINAL
ejpam-5734	282	3	2	CARDINAL
ejpam-5734	282	4	2025	CARDINAL
ejpam-5734	282	5	5734 16	DATE
ejpam-5734	282	6	25	CARDINAL
ejpam-5734	282	7	d(v ′ 8	ORG
ejpam-5734	283	1	1	CARDINAL
ejpam-5734	283	2	1	CARDINAL
ejpam-5734	284	1	d(v ′ 8	ORG
ejpam-5734	284	2	2	CARDINAL
ejpam-5734	284	3	1	CARDINAL
ejpam-5734	285	1	d(v ′ 8	ORG
ejpam-5734	285	2	1	CARDINAL
ejpam-5734	285	3	d(v ′ 8	ORG
ejpam-5734	285	4	2	CARDINAL
ejpam-5734	285	5	d(v ′ 8	ORG
ejpam-5734	285	6	′ 3i	CARDINAL
ejpam-5734	285	7	1	CARDINAL
ejpam-5734	285	8	1	CARDINAL
ejpam-5734	285	9	d(v ′ 8	ORG
ejpam-5734	285	10	2	CARDINAL
ejpam-5734	286	1	1	CARDINAL
ejpam-5734	286	2	d(v ′ 8	ORG
ejpam-5734	286	3	′ 7	DATE
ejpam-5734	286	4	1	CARDINAL
ejpam-5734	290	1	8	CARDINAL
ejpam-5734	290	2	n ≡ 2	ORG
ejpam-5734	291	1	c8	ORG
ejpam-5734	291	2	8	CARDINAL
ejpam-5734	292	1	′ 5),pink	CARDINAL
ejpam-5734	292	2	′ 6),yellow	CARDINAL
ejpam-5734	292	3	′ 7),purple	CARDINAL
ejpam-5734	293	1	v1 v2 v3 v4	PERSON
ejpam-5734	293	2	1	CARDINAL
ejpam-5734	293	3	2 v′ 3	TIME
ejpam-5734	293	4	4	CARDINAL
ejpam-5734	293	5	8	CARDINAL
ejpam-5734	293	6	6	CARDINAL
ejpam-5734	293	7	5	CARDINAL
ejpam-5734	293	8	9	CARDINAL
ejpam-5734	294	1	8 4.2	CARDINAL
ejpam-5734	295	1	c(cn	PERSON
ejpam-5734	296	1	n ≥ 4	ORG
ejpam-5734	297	1	χ2[c(cn	PERSON
ejpam-5734	298	1	2	CARDINAL
ejpam-5734	298	2	3	CARDINAL
ejpam-5734	299	1	1 ≤	QUANTITY
ejpam-5734	299	2	1 ≤	MONEY
ejpam-5734	299	3	1 ≤ i ≤ n − 1	QUANTITY
ejpam-5734	300	1	m. f. libao	PERSON
ejpam-5734	300	2	k. b. abarca	PERSON
ejpam-5734	301	1	j. pure	PERSON
ejpam-5734	301	2	18	CARDINAL
ejpam-5734	301	3	2	CARDINAL
ejpam-5734	301	4	2025	CARDINAL
ejpam-5734	301	5	5734 17	DATE
ejpam-5734	301	6	25	CARDINAL
ejpam-5734	302	1	1 ≤	QUANTITY
ejpam-5734	302	2	two	CARDINAL
ejpam-5734	303	1	cv	ORG
ejpam-5734	303	2	{c1	PERSON
ejpam-5734	305	1	c(cn	PERSON
ejpam-5734	306	1	cv	ORG
ejpam-5734	307	1	1 ≤	QUANTITY
ejpam-5734	307	2	vi	PERSON
ejpam-5734	310	1	cv	ORG
ejpam-5734	311	1	1	CARDINAL
ejpam-5734	311	2	cv	ORG
ejpam-5734	311	3	{c1	PERSON
ejpam-5734	312	1	1	CARDINAL
ejpam-5734	312	2	3	DATE
ejpam-5734	315	1	2	CARDINAL
ejpam-5734	315	2	4	DATE
ejpam-5734	316	1	∈	ORG
ejpam-5734	316	2	1	CARDINAL
ejpam-5734	316	3	3	DATE
ejpam-5734	318	1	1	CARDINAL
ejpam-5734	319	1	2	CARDINAL
ejpam-5734	319	2	2	CARDINAL
ejpam-5734	319	3	4	DATE
ejpam-5734	322	1	1	CARDINAL
ejpam-5734	322	2	3	DATE
ejpam-5734	324	1	2	CARDINAL
ejpam-5734	324	2	4	DATE
ejpam-5734	328	1	i.	PERSON
ejpam-5734	328	2	one	CARDINAL
ejpam-5734	328	3	class:⋃ a∈c	PERSON
ejpam-5734	334	1	{c1	PERSON
ejpam-5734	334	2	c3	PERSON
ejpam-5734	336	1	cn−1	NORP
ejpam-5734	336	2	c2, c4	ORG
ejpam-5734	339	1	{c1	PERSON
ejpam-5734	341	1	{ci}	PERSON
ejpam-5734	342	1	1 ≤	QUANTITY
ejpam-5734	344	1	1 + 1 + ·	DATE
ejpam-5734	345	1	n 2 + n 2	FAC
ejpam-5734	345	2	2n	CARDINAL
ejpam-5734	345	3	m. f. libao	PERSON
ejpam-5734	345	4	k. b. abarca	PERSON
ejpam-5734	346	1	j. pure	PERSON
ejpam-5734	346	2	18	CARDINAL
ejpam-5734	346	3	2	CARDINAL
ejpam-5734	346	4	2025	CARDINAL
ejpam-5734	346	5	5734 18	DATE
ejpam-5734	346	6	25	CARDINAL
ejpam-5734	346	7	1	CARDINAL
ejpam-5734	349	1	χ2[c(cn	PERSON
ejpam-5734	349	2	χ2[c(cn	PERSON
ejpam-5734	352	1	d(v1, vi	PERSON
ejpam-5734	352	2	1	CARDINAL
ejpam-5734	352	3	2	CARDINAL
ejpam-5734	352	4	3	DATE
ejpam-5734	355	1	d(v1	PRODUCT
ejpam-5734	355	2	1 and d(v1	TIME
ejpam-5734	355	3	1	CARDINAL
ejpam-5734	357	1	χ2[c(cn	PERSON
ejpam-5734	357	2	2	CARDINAL
ejpam-5734	358	1	8	CARDINAL
ejpam-5734	358	2	c1	ORG
ejpam-5734	358	3	c3	PERSON
ejpam-5734	359	1	v1 v2 v3v6 v5 v4 c6 c5 c4 c3	PERSON
ejpam-5734	359	2	10	CARDINAL
ejpam-5734	360	1	8	CARDINAL
ejpam-5734	360	2	2	CARDINAL
ejpam-5734	360	3	cv	ORG
ejpam-5734	360	4	{c1	PERSON
ejpam-5734	362	1	1	CARDINAL
ejpam-5734	362	2	3	DATE
ejpam-5734	364	1	n−2}∪{ct	ORG
ejpam-5734	365	1	2	CARDINAL
ejpam-5734	365	2	4	DATE
ejpam-5734	367	1	1	CARDINAL
ejpam-5734	367	2	3	DATE
ejpam-5734	369	1	2	CARDINAL
ejpam-5734	369	2	2	CARDINAL
ejpam-5734	369	3	4	DATE
ejpam-5734	371	1	1	CARDINAL
ejpam-5734	372	1	∈	ORG
ejpam-5734	372	2	2	CARDINAL
ejpam-5734	372	3	cn−1 ∈	ORG
ejpam-5734	372	4	2	CARDINAL
ejpam-5734	376	1	m. f. libao	PERSON
ejpam-5734	376	2	k. b. abarca	PERSON
ejpam-5734	377	1	j. pure	PERSON
ejpam-5734	377	2	18	CARDINAL
ejpam-5734	377	3	2	CARDINAL
ejpam-5734	377	4	2025	CARDINAL
ejpam-5734	377	5	5734 19	DATE
ejpam-5734	377	6	25	CARDINAL
ejpam-5734	377	7	i.	PERSON
ejpam-5734	377	8	one	CARDINAL
ejpam-5734	377	9	class:⋃ a∈c	PERSON
ejpam-5734	383	1	{c1	PERSON
ejpam-5734	383	2	c3	PERSON
ejpam-5734	385	1	cn−2} ∪	PERSON
ejpam-5734	385	2	c2, c4	ORG
ejpam-5734	387	1	cn−1	NORP
ejpam-5734	387	2	{cn	PERSON
ejpam-5734	389	1	{c1	PERSON
ejpam-5734	391	1	{ci}	PERSON
ejpam-5734	392	1	1 ≤	QUANTITY
ejpam-5734	395	1	1 + 1 + ·	DATE
ejpam-5734	396	1	1 2 + 1	DATE
ejpam-5734	396	2	1 + 1	QUANTITY
ejpam-5734	396	3	2n	CARDINAL
ejpam-5734	396	4	lemma 1	ORG
ejpam-5734	396	5	k ̸= j.	PERSON
ejpam-5734	399	1	χ2[c(cn	PERSON
ejpam-5734	400	1	χ2[c(cn	PERSON
ejpam-5734	401	1	a2,a3	GPE
ejpam-5734	403	1	d(v1, vi	PERSON
ejpam-5734	403	2	1	CARDINAL
ejpam-5734	403	3	2	CARDINAL
ejpam-5734	403	4	3	DATE
ejpam-5734	405	1	n.	PERSON
ejpam-5734	405	2	1	CARDINAL
ejpam-5734	405	3	1	CARDINAL
ejpam-5734	405	4	2	CARDINAL
ejpam-5734	406	1	1	CARDINAL
ejpam-5734	406	2	χ2[c(cn	PERSON
ejpam-5734	407	1	3	CARDINAL
ejpam-5734	407	2	c7, c(c7	ORG
ejpam-5734	407	3	χ2[c(c7	GPE
ejpam-5734	408	1	10	CARDINAL
ejpam-5734	409	1	c1	ORG
ejpam-5734	409	2	c3	PERSON
ejpam-5734	409	3	m. f. libao	PERSON
ejpam-5734	409	4	k. b. abarca	PERSON
ejpam-5734	410	1	j. pure	PERSON
ejpam-5734	410	2	18	CARDINAL
ejpam-5734	410	3	2	CARDINAL
ejpam-5734	410	4	2025	CARDINAL
ejpam-5734	410	5	5734 20	DATE
ejpam-5734	410	6	25	CARDINAL
ejpam-5734	411	1	v1 v2 v3 v4 v5v6v7 c1 c7 c6 c2 c3 c4 c5	PERSON
ejpam-5734	411	2	11	CARDINAL
ejpam-5734	411	3	c7 with χ2[c(c7	ORG
ejpam-5734	412	1	10 5	DATE
ejpam-5734	412	2	two	CARDINAL
ejpam-5734	414	1	5.1	CARDINAL
ejpam-5734	416	1	jain	ORG
ejpam-5734	416	2	2023	CARDINAL
ejpam-5734	417	1	14	CARDINAL
ejpam-5734	419	1	borodin	PERSON
ejpam-5734	419	2	2009	DATE
ejpam-5734	420	1	9	CARDINAL
ejpam-5734	421	1	two	CARDINAL
ejpam-5734	421	2	two	CARDINAL
ejpam-5734	422	1	first	ORDINAL
ejpam-5734	423	1	two	CARDINAL
ejpam-5734	423	2	six	CARDINAL
ejpam-5734	423	3	two	CARDINAL
ejpam-5734	427	1	m. f. libao	PERSON
ejpam-5734	427	2	k. b. abarca	PERSON
ejpam-5734	428	1	j. pure	PERSON
ejpam-5734	428	2	18	CARDINAL
ejpam-5734	428	3	2	CARDINAL
ejpam-5734	428	4	2025	CARDINAL
ejpam-5734	428	5	5734 21	DATE
ejpam-5734	428	6	25	CARDINAL
ejpam-5734	428	7	12	CARDINAL
ejpam-5734	428	8	1	CARDINAL
ejpam-5734	428	9	1	CARDINAL
ejpam-5734	428	10	4	CARDINAL
ejpam-5734	428	11	1	CARDINAL
ejpam-5734	428	12	2	CARDINAL
ejpam-5734	428	13	5	CARDINAL
ejpam-5734	428	14	2	CARDINAL
ejpam-5734	428	15	3	CARDINAL
ejpam-5734	428	16	6	CARDINAL
ejpam-5734	428	17	3	CARDINAL
ejpam-5734	428	18	1	CARDINAL
ejpam-5734	428	19	4	CARDINAL
ejpam-5734	428	20	4	CARDINAL
ejpam-5734	428	21	2	CARDINAL
ejpam-5734	428	22	5	CARDINAL
ejpam-5734	428	23	5	CARDINAL
ejpam-5734	428	24	3	CARDINAL
ejpam-5734	428	25	6	CARDINAL
ejpam-5734	428	26	6	CARDINAL
ejpam-5734	429	1	two	CARDINAL
ejpam-5734	430	1	two	CARDINAL
ejpam-5734	431	1	•	CARDINAL
ejpam-5734	431	2	1	CARDINAL
ejpam-5734	431	3	2	CARDINAL
ejpam-5734	431	4	6	CARDINAL
ejpam-5734	431	5	2	CARDINAL
ejpam-5734	431	6	6	CARDINAL
ejpam-5734	432	1	•	CARDINAL
ejpam-5734	432	2	1	CARDINAL
ejpam-5734	432	3	2	CARDINAL
ejpam-5734	432	4	6	CARDINAL
ejpam-5734	432	5	2	CARDINAL
ejpam-5734	432	6	6	CARDINAL
ejpam-5734	433	1	two	CARDINAL
ejpam-5734	433	2	m. f. libao	PERSON
ejpam-5734	433	3	k. b. abarca	PERSON
ejpam-5734	434	1	j. pure	PERSON
ejpam-5734	434	2	18	CARDINAL
ejpam-5734	434	3	2	CARDINAL
ejpam-5734	434	4	2025	CARDINAL
ejpam-5734	434	5	5734 22	DATE
ejpam-5734	434	6	25	CARDINAL
ejpam-5734	434	7	2	CARDINAL
ejpam-5734	434	8	2	CARDINAL
ejpam-5734	434	9	3	CARDINAL
ejpam-5734	436	1	5.2	CARDINAL
ejpam-5734	437	1	2023	CARDINAL
ejpam-5734	437	2	majeed	PERSON
ejpam-5734	437	3	rauf	PERSON
ejpam-5734	437	4	2020	DATE
ejpam-5734	438	1	5	CARDINAL
ejpam-5734	438	2	14	CARDINAL
ejpam-5734	439	1	two	CARDINAL
ejpam-5734	442	1	six	CARDINAL
ejpam-5734	444	1	two	CARDINAL
ejpam-5734	444	2	one	CARDINAL
ejpam-5734	446	1	m. f. libao	PERSON
ejpam-5734	446	2	k. b. abarca	PERSON
ejpam-5734	447	1	j. pure	PERSON
ejpam-5734	447	2	18	CARDINAL
ejpam-5734	447	3	2	CARDINAL
ejpam-5734	447	4	2025	CARDINAL
ejpam-5734	447	5	5734 23	DATE
ejpam-5734	447	6	25	CARDINAL
ejpam-5734	447	7	13	CARDINAL
ejpam-5734	447	8	3	CARDINAL
ejpam-5734	447	9	vi	PERSON
ejpam-5734	448	1	1	CARDINAL
ejpam-5734	448	2	2	CARDINAL
ejpam-5734	448	3	6	CARDINAL
ejpam-5734	449	1	two	CARDINAL
ejpam-5734	450	1	one	CARDINAL
ejpam-5734	450	2	two	CARDINAL
ejpam-5734	451	1	one	CARDINAL
ejpam-5734	452	1	m. f. libao	PERSON
ejpam-5734	452	2	k. b. abarca	PERSON
ejpam-5734	453	1	j. pure	PERSON
ejpam-5734	453	2	18	CARDINAL
ejpam-5734	453	3	2	CARDINAL
ejpam-5734	453	4	2025	CARDINAL
ejpam-5734	453	5	5734 24	DATE
ejpam-5734	453	6	25	CARDINAL
ejpam-5734	455	1	6	CARDINAL
ejpam-5734	456	1	two	CARDINAL
ejpam-5734	461	1	first	ORDINAL
ejpam-5734	461	2	bipartite	ORG
ejpam-5734	462	1	second	ORDINAL
ejpam-5734	465	1	m. paluga andms	PERSON
ejpam-5734	466	1	airish p. jumonong	PERSON
ejpam-5734	467	1	1	CARDINAL
ejpam-5734	467	2	norman l. biggs	PERSON
ejpam-5734	468	1	1736–1936	CARDINAL
ejpam-5734	469	1	clarendon press	ORG
ejpam-5734	469	2	oxford	NORP
ejpam-5734	469	3	uk	GPE
ejpam-5734	469	4	1976	DATE
ejpam-5734	470	1	2	CARDINAL
ejpam-5734	470	2	f. harary	PERSON
ejpam-5734	472	1	addison-wesley	PERSON
ejpam-5734	472	2	1969	DATE
ejpam-5734	473	1	3	CARDINAL
ejpam-5734	473	2	p. zhang	PERSON
ejpam-5734	475	1	mcgraw-hill	ORG
ejpam-5734	475	2	5th	ORDINAL
ejpam-5734	475	3	2008	DATE
ejpam-5734	476	1	m. f. libao	PERSON
ejpam-5734	476	2	k. b. abarca	PERSON
ejpam-5734	477	1	j. pure	PERSON
ejpam-5734	477	2	18	CARDINAL
ejpam-5734	477	3	2	CARDINAL
ejpam-5734	477	4	2025	CARDINAL
ejpam-5734	477	5	5734 25	DATE
ejpam-5734	477	6	25	CARDINAL
ejpam-5734	477	7	4	CARDINAL
ejpam-5734	477	8	k. appel	PERSON
ejpam-5734	477	9	w. haken	PERSON
ejpam-5734	478	1	four	CARDINAL
ejpam-5734	478	2	i. discharging	PERSON
ejpam-5734	479	1	illinois	GPE
ejpam-5734	479	2	21(3):429–490	CARDINAL
ejpam-5734	479	3	1976	DATE
ejpam-5734	480	1	5	CARDINAL
ejpam-5734	480	2	a. majeed	PERSON
ejpam-5734	480	3	i. rauf	PERSON
ejpam-5734	482	1	5(1):10	CARDINAL
ejpam-5734	482	2	2020	DATE
ejpam-5734	483	1	6	CARDINAL
ejpam-5734	483	2	a. agrawal	PERSON
ejpam-5734	483	3	s. gupta	PERSON
ejpam-5734	483	4	rao	ORG
ejpam-5734	485	1	2023	CARDINAL
ejpam-5734	486	1	7	CARDINAL
ejpam-5734	486	2	v. ramachandran	PERSON
ejpam-5734	488	1	6(4):285–294, 1978	DATE
ejpam-5734	489	1	8	CARDINAL
ejpam-5734	489	2	i. voloshin	PERSON
ejpam-5734	490	1	78	CARDINAL
ejpam-5734	491	1	2010	DATE
ejpam-5734	492	1	9	CARDINAL
ejpam-5734	492	2	a. o. ivanova	PERSON
ejpam-5734	494	1	309(16):3791–3796	DATE
ejpam-5734	494	2	2009	DATE
ejpam-5734	495	1	10	CARDINAL
ejpam-5734	495	2	j. r. griggs	PERSON
ejpam-5734	495	3	r. k. yeh	PERSON
ejpam-5734	496	1	two	CARDINAL
ejpam-5734	497	1	siam journal	ORG
ejpam-5734	497	2	5(4):586–595, 1992	DATE
ejpam-5734	498	1	11	CARDINAL
ejpam-5734	498	2	f. harary	PERSON
ejpam-5734	498	3	s. hedetniemi	PERSON
ejpam-5734	500	1	american	NORP
ejpam-5734	500	2	1970	DATE
ejpam-5734	501	1	12	CARDINAL
ejpam-5734	501	2	e. sampathkumar	PERSON
ejpam-5734	501	3	h. b. walikar	PERSON
ejpam-5734	503	1	the indian academy of sciences mathematical sciences	ORG
ejpam-5734	503	2	80	CARDINAL
ejpam-5734	503	3	1–13, 1974	DATE
ejpam-5734	504	1	13	CARDINAL
ejpam-5734	504	2	s. ahmed	PERSON
ejpam-5734	506	1	36:100734,	DATE
ejpam-5734	506	2	2012	DATE
ejpam-5734	507	1	14	CARDINAL
ejpam-5734	507	2	r. jain	PERSON
ejpam-5734	507	3	a. k. jain	PERSON
ejpam-5734	509	1	10(3	CARDINAL
ejpam-5734	509	2	2023	CARDINAL