id	sid	eid	entity	type
cana-6080	1	1	1074	CARDINAL
cana-6080	2	1	2024	CARDINAL
cana-6080	2	2	1194	CARDINAL
cana-6080	3	1	k. annathurai1	PERSON
cana-6080	3	2	sankar raj3	PERSON
cana-6080	3	3	1	CARDINAL
cana-6080	3	4	627425	DATE
cana-6080	3	5	tamil	NORP
cana-6080	4	1	india	GPE
cana-6080	4	2	2	MONEY
cana-6080	4	3	21124012091019	DATE
cana-6080	4	4	manonmaniam sundaranar university	ORG
cana-6080	4	5	tamilnadu	NORP
cana-6080	4	6	india	GPE
cana-6080	4	7	3	CARDINAL
cana-6080	4	8	manonmaniam sundaranar university	ORG
cana-6080	4	9	627012	DATE
cana-6080	4	10	tamilnadu	NORP
cana-6080	5	1	india	GPE
cana-6080	6	1	sankarrajv@gmail.com	ORG
cana-6080	6	2	received:01/10/2024	DATE
cana-6080	6	3	30/12/2024 1	DATE
cana-6080	6	4	1	CARDINAL
cana-6080	6	5	2	DATE
cana-6080	6	6	k	PERSON
cana-6080	6	7	two	CARDINAL
cana-6080	6	8	i.	GPE
cana-6080	6	9	first	ORDINAL
cana-6080	6	10	grundy	PERSON
cana-6080	6	11	grundy number	PERSON
cana-6080	6	12	first	ORDINAL
cana-6080	7	1	grundy	PERSON
cana-6080	8	1	grundy	PERSON
cana-6080	9	1	grundy colorings	PERSON
cana-6080	9	2	patrick michael grundy	PERSON
cana-6080	9	3	1939	DATE
cana-6080	11	1	4	CARDINAL
cana-6080	11	2	6	DATE
cana-6080	11	3	16	CARDINAL
cana-6080	11	4	two	CARDINAL
cana-6080	11	5	i.	ORG
cana-6080	12	1	4	CARDINAL
cana-6080	12	2	1	CARDINAL
cana-6080	12	3	4	CARDINAL
cana-6080	12	4	4	CARDINAL
cana-6080	13	1	3	CARDINAL
cana-6080	13	2	1.1	CARDINAL
cana-6080	13	3	3	CARDINAL
cana-6080	14	1	c(v1	PERSON
cana-6080	15	1	1	CARDINAL
cana-6080	15	2	1.1	CARDINAL
cana-6080	16	1	grundy colorings	PERSON
cana-6080	16	2	mailto:sankarrajv@gmail.com	ORG
cana-6080	16	3	1074	CARDINAL
cana-6080	17	1	2024	CARDINAL
cana-6080	17	2	1195	CARDINAL
cana-6080	17	3	1 ≤	MONEY
cana-6080	19	1	integer k	PERSON
cana-6080	19	2	grundy k-coloring	PERSON
cana-6080	19	3	γ(g	NORP
cana-6080	19	4	grundy	PERSON
cana-6080	19	5	grundy	PERSON
cana-6080	19	6	grundy k-coloring	PERSON
cana-6080	19	7	1	CARDINAL
cana-6080	19	8	2	DATE
cana-6080	19	9	k	PERSON
cana-6080	19	10	1 ≤	QUANTITY
cana-6080	21	1	+ 1 (1	DATE
cana-6080	21	2	χ(g	PRODUCT
cana-6080	22	1	grundy	PERSON
cana-6080	22	2	first	ORDINAL
cana-6080	22	3	2	CARDINAL
cana-6080	23	1	3	CARDINAL
cana-6080	23	2	al	PERSON
cana-6080	23	3	grundy	PERSON
cana-6080	23	4	simmons	PERSON
cana-6080	24	1	12	CARDINAL
cana-6080	25	1	8	CARDINAL
cana-6080	25	2	grundy	PERSON
cana-6080	26	1	13	CARDINAL
cana-6080	27	1	5	CARDINAL
cana-6080	28	1	10.4	CARDINAL
cana-6080	28	2	9	CARDINAL
cana-6080	28	3	grundy	PERSON
cana-6080	29	1	2	CARDINAL
cana-6080	30	1	2.1	CARDINAL
cana-6080	30	2	kn	PERSON
cana-6080	31	1	1	CARDINAL
cana-6080	31	2	2	CARDINAL
cana-6080	32	1	2.2	CARDINAL
cana-6080	32	2	two	CARDINAL
cana-6080	33	1	2.3	CARDINAL
cana-6080	33	2	two	CARDINAL
cana-6080	33	3	2.4	CARDINAL
cana-6080	33	4	two	CARDINAL
cana-6080	33	5	one	CARDINAL
cana-6080	33	6	3	CARDINAL
cana-6080	33	7	grundy	PERSON
cana-6080	34	1	1074	CARDINAL
cana-6080	35	1	2024	CARDINAL
cana-6080	35	2	1196	CARDINAL
cana-6080	35	3	3.1	CARDINAL
cana-6080	35	4	n ≥ 2	ORG
cana-6080	35	5	3	CARDINAL
cana-6080	35	6	2	CARDINAL
cana-6080	35	7	3	CARDINAL
cana-6080	35	8	4	DATE
cana-6080	37	1	grundy	PERSON
cana-6080	38	1	1 ≤	QUANTITY
cana-6080	38	2	1 ≤ j ≤ n	QUANTITY
cana-6080	39	1	2	CARDINAL
cana-6080	39	2	3	CARDINAL
cana-6080	39	3	1 ≤	QUANTITY
cana-6080	39	4	1 ≤ j ≤ 3	QUANTITY
cana-6080	40	1	3	CARDINAL
cana-6080	42	1	1	CARDINAL
cana-6080	42	2	j ≡ 1 mod 2	PERSON
cana-6080	42	3	2	DATE
cana-6080	42	4	0	CARDINAL
cana-6080	42	5	2	CARDINAL
cana-6080	42	6	γ(fn	GPE
cana-6080	42	7	γ(fn	ORG
cana-6080	43	1	3	CARDINAL
cana-6080	43	2	2	CARDINAL
cana-6080	43	3	3	CARDINAL
cana-6080	44	1	3	CARDINAL
cana-6080	44	2	3	CARDINAL
cana-6080	44	3	1 ≤	QUANTITY
cana-6080	44	4	one	CARDINAL
cana-6080	44	5	1 to 4	CARDINAL
cana-6080	44	6	three	CARDINAL
cana-6080	44	7	1 ≤ j ≤ 3	QUANTITY
cana-6080	45	1	grundy	PERSON
cana-6080	47	1	γ(fm	ORG
cana-6080	47	2	3	CARDINAL
cana-6080	47	3	1	CARDINAL
cana-6080	47	4	2 ≤ n ≤ 3	QUANTITY
cana-6080	48	1	n ≥ 4	DATE
cana-6080	49	1	1 ≤	QUANTITY
cana-6080	49	2	4	CARDINAL
cana-6080	49	3	subcase	PERSON
cana-6080	49	4	n ≡ 0 mod	ORG
cana-6080	50	1	3	CARDINAL
cana-6080	50	2	1 ≤ j ≤ n − 2	QUANTITY
cana-6080	50	3	j ≡ 1 mod	PERSON
cana-6080	50	4	j ≡ 2 mod 3 and	PERSON
cana-6080	50	5	2	DATE
cana-6080	50	6	0	CARDINAL
cana-6080	50	7	3 σ	CARDINAL
cana-6080	50	8	2	CARDINAL
cana-6080	50	9	1	CARDINAL
cana-6080	50	10	subcase	PERSON
cana-6080	50	11	n ≡ 2 mod 3	ORG
cana-6080	51	1	1 ≤ j ≤ n – 1	QUANTITY
cana-6080	51	2	1	CARDINAL
cana-6080	51	3	j ≡ 1 mod	PERSON
cana-6080	51	4	j ≡ 2 mod 3 and	PERSON
cana-6080	51	5	2	DATE
cana-6080	51	6	0	CARDINAL
cana-6080	51	7	3 σ	CARDINAL
cana-6080	51	8	2	CARDINAL
cana-6080	51	9	subcase	PERSON
cana-6080	51	10	n ≡ 1 mod 3	ORG
cana-6080	52	1	1 ≤ j ≤ n	QUANTITY
cana-6080	52	2	j ≡ 1 mod	PERSON
cana-6080	52	3	j ≡ 2 mod 3 and	PERSON
cana-6080	52	4	2	DATE
cana-6080	52	5	0	CARDINAL
cana-6080	52	6	3	CARDINAL
cana-6080	52	7	1074	CARDINAL
cana-6080	53	1	8s	CARDINAL
cana-6080	53	2	γ(fn	ORG
cana-6080	53	3	γ(fn	ORG
cana-6080	53	4	4	CARDINAL
cana-6080	53	5	1 ≤	QUANTITY
cana-6080	53	6	one	CARDINAL
cana-6080	53	7	1 to 5	CARDINAL
cana-6080	53	8	four	CARDINAL
cana-6080	53	9	1 ≤ j ≤ n	QUANTITY
cana-6080	54	1	grundy	PERSON
cana-6080	56	1	γ(fm	ORG
cana-6080	56	2	4	CARDINAL
cana-6080	56	3	n ≥ 4	DATE
cana-6080	56	4	3.2	CARDINAL
cana-6080	56	5	n ≥ 3	DATE
cana-6080	59	1	1 ≤	QUANTITY
cana-6080	59	2	1 ≤ j ≤ n	QUANTITY
cana-6080	60	1	1 ≤ j ≤ n	QUANTITY
cana-6080	60	2	xj	ORG
cana-6080	60	3	1 ≤ j ≤ n − 1	QUANTITY
cana-6080	62	1	1 ≤	QUANTITY
cana-6080	62	2	1 ≤	QUANTITY
cana-6080	65	1	j ≡ j mod n	PERSON
cana-6080	65	2	1	CARDINAL
cana-6080	65	3	1 ≤	QUANTITY
cana-6080	66	1	γ(fn	ORG
cana-6080	69	1	+ 1	DATE
cana-6080	69	2	3.3	CARDINAL
cana-6080	69	3	n ≥ 3	DATE
cana-6080	72	1	1 ≤	QUANTITY
cana-6080	72	2	1 ≤ j ≤ n	QUANTITY
cana-6080	73	1	1 ≤ j ≤ n	QUANTITY
cana-6080	73	2	xj	ORG
cana-6080	73	3	1 ≤ j ≤	QUANTITY
cana-6080	75	1	1 ≤	QUANTITY
cana-6080	75	2	1 ≤	QUANTITY
cana-6080	78	1	j ≡ j mod n σ	PERSON
cana-6080	78	2	1	CARDINAL
cana-6080	78	3	1074	CARDINAL
cana-6080	79	1	2024	CARDINAL
cana-6080	80	1	2	CARDINAL
cana-6080	80	2	1	CARDINAL
cana-6080	80	3	1 ≤	QUANTITY
cana-6080	81	1	γ(fn	ORG
cana-6080	82	1	n + 1	PRODUCT
cana-6080	82	2	1	CARDINAL
cana-6080	84	1	3.4	CARDINAL
cana-6080	84	2	n ≥ 3	DATE
cana-6080	87	1	1 ≤	QUANTITY
cana-6080	87	2	1 ≤ j ≤ n	QUANTITY
cana-6080	88	1	1 ≤ j ≤ n	QUANTITY
cana-6080	88	2	xj	ORG
cana-6080	88	3	1 ≤ j ≤ n − 1	QUANTITY
cana-6080	90	1	1 ≤	QUANTITY
cana-6080	90	2	1 ≤	QUANTITY
cana-6080	93	1	j ≡ j mod n σ	PERSON
cana-6080	93	2	1	CARDINAL
cana-6080	93	3	σ	CARDINAL
cana-6080	94	1	2	CARDINAL
cana-6080	94	2	1	CARDINAL
cana-6080	94	3	1 ≤	QUANTITY
cana-6080	96	1	γ(fn	ORG
cana-6080	98	1	n + 1	PRODUCT
cana-6080	99	1	t (fm,	ORG
cana-6080	101	1	t (fm,n	ORG
cana-6080	102	1	grundy	PERSON
cana-6080	104	1	1	CARDINAL
cana-6080	104	2	a. seb¨o	PERSON
cana-6080	104	3	m. tarsi	PERSON
cana-6080	104	4	j. algorithms	ORG
cana-6080	104	5	20	CARDINAL
cana-6080	104	6	137	CARDINAL
cana-6080	105	1	2	CARDINAL
cana-6080	105	2	c.a. christen	PERSON
cana-6080	105	3	s.m.	GPE
cana-6080	105	4	j. combin	PERSON
cana-6080	106	1	27 (1979	DATE
cana-6080	106	2	49	CARDINAL
cana-6080	107	1	1074	CARDINAL
cana-6080	109	1	3	CARDINAL
cana-6080	109	2	w.r.	GPE
cana-6080	109	3	s.t.	PERSON
cana-6080	109	4	hedetniemi	GPE
cana-6080	109	5	r. laskar	PERSON
cana-6080	109	6	j. graph	PERSON
cana-6080	109	7	11	CARDINAL
cana-6080	109	8	1987	DATE
cana-6080	109	9	157	CARDINAL
cana-6080	110	1	4	CARDINAL
cana-6080	110	2	z. f¨uredi	PERSON
cana-6080	110	3	a. gy´arf´as	PERSON
cana-6080	110	4	g. s´ark¨ozy	GPE
cana-6080	110	5	s. selkow	PERSON
cana-6080	110	6	first	ORDINAL
cana-6080	110	7	59(1	CARDINAL
cana-6080	110	8	2008	DATE
cana-6080	110	9	75-88	DATE
cana-6080	111	1	5	CARDINAL
cana-6080	111	2	n. goyal	PERSON
cana-6080	111	3	s. vishvanathan	PERSON
cana-6080	111	4	grundy	PERSON
cana-6080	111	5	bombay	GPE
cana-6080	111	6	1997	DATE
cana-6080	112	1	6	CARDINAL
cana-6080	112	2	j. lehel	PERSON
cana-6080	112	3	first	ORDINAL
cana-6080	112	4	j. graph	PERSON
cana-6080	112	5	12	CARDINAL
cana-6080	112	6	1988	DATE
cana-6080	112	7	217	CARDINAL
cana-6080	113	1	7	CARDINAL
cana-6080	113	2	hedetniemi	GPE
cana-6080	113	3	s.t.	PERSON
cana-6080	113	4	hedetniemi	PERSON
cana-6080	113	5	a. beyer	PERSON
cana-6080	113	6	linear	ORG
cana-6080	113	7	grundy	PERSON
cana-6080	115	1	36 (1982	DATE
cana-6080	115	2	351	CARDINAL
cana-6080	116	1	8	CARDINAL
cana-6080	116	2	d.g. hoffman	PERSON
cana-6080	116	3	p.d. johnson jr.	PERSON
cana-6080	116	4	grundy	PERSON
cana-6080	117	1	ica 26 (	PERSON
cana-6080	117	2	1999	DATE
cana-6080	117	3	49	CARDINAL
cana-6080	118	1	9	CARDINAL
cana-6080	118	2	jensen	PERSON
cana-6080	118	3	wiley	ORG
cana-6080	118	4	1995	DATE
cana-6080	119	1	10	CARDINAL
cana-6080	119	2	vj vernold	PERSON
cana-6080	119	3	2010	DATE
cana-6080	119	4	32	CARDINAL
cana-6080	120	1	11	CARDINAL
cana-6080	120	2	k. kaliraj	PERSON
cana-6080	120	3	j. vernold	PERSON
cana-6080	120	4	m.m. akbar ali	PERSON
cana-6080	120	5	2012	DATE
cana-6080	120	6	497	CARDINAL
cana-6080	121	1	12	CARDINAL
cana-6080	121	2	simmons	PERSON
cana-6080	123	1	40 (1983	DATE
cana-6080	123	2	339	CARDINAL
cana-6080	124	1	13	CARDINAL
cana-6080	124	2	a. proskurowski	PERSON
cana-6080	124	3	j. discrete	PERSON
cana-6080	125	1	10 (1997	DATE
cana-6080	125	2	529-550	CARDINAL
cana-6080	126	1	14	CARDINAL
cana-6080	126	2	j. vernold	PERSON
cana-6080	126	3	k. kaliraj	PERSON
cana-6080	126	4	43(2	CARDINAL
cana-6080	126	5	2012	DATE
cana-6080	126	6	153	CARDINAL
cana-6080	127	1	15	CARDINAL
cana-6080	127	2	j. v. vivin	PERSON
cana-6080	127	3	k kaliraj	PERSON
cana-6080	127	4	4	CARDINAL
cana-6080	127	5	2	CARDINAL
cana-6080	127	6	206	CARDINAL
cana-6080	128	1	16	CARDINAL
cana-6080	128	2	m. zaker	PERSON
cana-6080	128	3	grundy	PERSON
cana-6080	128	4	bipartite	ORG
cana-6080	129	1	j. combin	PERSON
cana-6080	130	1	31 (2005	DATE
cana-6080	130	2	325	CARDINAL
cana-6080	131	1	17	CARDINAL
cana-6080	131	2	harishchandra patel	PERSON
cana-6080	131	3	hdi	ORG
cana-6080	131	4	2024	CARDINAL
cana-6080	132	1	20(11s	CARDINAL
cana-6080	132	2	5109-5115	DATE