id	sid	eid	entity	type
cana-1220	1	1	1074	CARDINAL
cana-1220	2	1	6s	CARDINAL
cana-1220	2	2	2024	CARDINAL
cana-1220	2	3	259	CARDINAL
cana-1220	2	4	m. keerthika 1	PERSON
cana-1220	2	5	kowsalya2 1	FAC
cana-1220	2	6	pg & research department	ORG
cana-1220	2	7	sri ramakrishna college of arts &	ORG
cana-1220	2	8	coimbatore	ORG
cana-1220	2	9	tamil	NORP
cana-1220	3	1	keerthika.m@srcas.ac.in	PERSON
cana-1220	3	2	2associate	CARDINAL
cana-1220	3	3	pg & research department	ORG
cana-1220	3	4	sri ramakrishna college of arts &	ORG
cana-1220	3	5	coimbatore	ORG
cana-1220	3	6	tamil	NORP
cana-1220	4	1	kowsalya@srcas.ac.in	PERSON
cana-1220	4	2	03-06-2024	CARDINAL
cana-1220	4	3	05-07-2024	CARDINAL
cana-1220	4	4	25-07-2024	CARDINAL
cana-1220	9	1	1	CARDINAL
cana-1220	10	1	first	ORDINAL
cana-1220	10	2	rosa	ORG
cana-1220	10	3	5	CARDINAL
cana-1220	10	4	gallian j.a	PERSON
cana-1220	11	1	2	CARDINAL
cana-1220	12	1	10	CARDINAL
cana-1220	13	1	roger entringer	PERSON
cana-1220	14	1	9	CARDINAL
cana-1220	14	2	3	CARDINAL
cana-1220	15	1	1,11	CARDINAL
cana-1220	16	1	8	CARDINAL
cana-1220	17	1	2018	DATE
cana-1220	19	1	sayan panma	PERSON
cana-1220	19	2	6	CARDINAL
cana-1220	20	1	4	CARDINAL
cana-1220	22	1	2	CARDINAL
cana-1220	22	2	2.1[3	CARDINAL
cana-1220	22	3	2	DATE
cana-1220	24	1	1	CARDINAL
cana-1220	25	1	η(g	ORG
cana-1220	26	1	g=(v	GPE
cana-1220	26	2	2	DATE
cana-1220	26	3	v(g	PERSON
cana-1220	28	1	1074	CARDINAL
cana-1220	29	1	6s	CARDINAL
cana-1220	29	2	2024	CARDINAL
cana-1220	29	3	260	CARDINAL
cana-1220	29	4	2.3	CARDINAL
cana-1220	30	1	4	CARDINAL
cana-1220	30	2	one	CARDINAL
cana-1220	30	3	2	DATE
cana-1220	31	1	k = min	PERSON
cana-1220	32	1	1	CARDINAL
cana-1220	32	2	one	CARDINAL
cana-1220	32	3	one	CARDINAL
cana-1220	34	1	2.4	CARDINAL
cana-1220	34	2	2,3	CARDINAL
cana-1220	35	1	1	CARDINAL
cana-1220	35	2	1,2,3	CARDINAL
cana-1220	35	3	ɐ k∈n	ORG
cana-1220	36	1	χpg(g	ORG
cana-1220	37	1	3	CARDINAL
cana-1220	37	2	3.1	CARDINAL
cana-1220	37	3	k1,n	ORG
cana-1220	38	1	1 ≤	QUANTITY
cana-1220	39	1	1 ≤	QUANTITY
cana-1220	40	1	n-pendant vertices are	ORG
cana-1220	40	2	vi)= ci	PERSON
cana-1220	41	1	1	CARDINAL
cana-1220	41	2	2 ≤	QUANTITY
cana-1220	44	1	2 ≤	QUANTITY
cana-1220	45	1	ꞷ ∗ (	ORG
cana-1220	50	1	k1,n	ORG
cana-1220	53	1	∗	DATE
cana-1220	53	2	v1v5)= c3	PERSON
cana-1220	53	3	two	CARDINAL
cana-1220	55	1	1	CARDINAL
cana-1220	55	2	1074	CARDINAL
cana-1220	56	1	6s	CARDINAL
cana-1220	56	2	2024	CARDINAL
cana-1220	56	3	261	CARDINAL
cana-1220	56	4	3.2	CARDINAL
cana-1220	56	5	5	CARDINAL
cana-1220	57	1	→{c1	ORG
cana-1220	57	2	c2, c3	ORG
cana-1220	57	3	1≤ i ≤ n	QUANTITY
cana-1220	57	4	0	CARDINAL
cana-1220	57	5	2 mod 3 𝑐4	QUANTITY
cana-1220	57	6	1	CARDINAL
cana-1220	58	1	1	CARDINAL
cana-1220	58	2	c3	PERSON
cana-1220	58	3	1	CARDINAL
cana-1220	58	4	2	CARDINAL
cana-1220	58	5	0	CARDINAL
cana-1220	61	1	vi+1)|	ORG
cana-1220	62	1	= c1	PERSON
cana-1220	62	2	c2 , c3	ORG
cana-1220	62	3	c1 hence	PERSON
cana-1220	63	1	n ≥ 5	DATE
cana-1220	64	1	4	DATE
cana-1220	64	2	4	CARDINAL
cana-1220	64	3	3	CARDINAL
cana-1220	65	1	c3	PERSON
cana-1220	69	1	two	CARDINAL
cana-1220	70	1	4	CARDINAL
cana-1220	71	1	n ≥ 5	DATE
cana-1220	71	2	3.3	CARDINAL
cana-1220	71	3	2	CARDINAL
cana-1220	71	4	2	CARDINAL
cana-1220	71	5	3.4	CARDINAL
cana-1220	71	6	3	CARDINAL
cana-1220	71	7	4	CARDINAL
cana-1220	71	8	2	CARDINAL
cana-1220	71	9	𝑃7	CARDINAL
cana-1220	71	10	3.5	CARDINAL
cana-1220	71	11	5	CARDINAL
cana-1220	72	1	1 ≤ i ≤ n	QUANTITY
cana-1220	73	1	1	CARDINAL
cana-1220	73	2	→{c1	ORG
cana-1220	73	3	c2, c3	ORG
cana-1220	73	4	1≤	FAC
cana-1220	74	1	0	CARDINAL
cana-1220	74	2	2	CARDINAL
cana-1220	75	1	1	CARDINAL
cana-1220	76	1	1	CARDINAL
cana-1220	76	2	c3	PERSON
cana-1220	76	3	1074	CARDINAL
cana-1220	77	1	6s	CARDINAL
cana-1220	77	2	2024	CARDINAL
cana-1220	77	3	262	CARDINAL
cana-1220	78	1	0	CARDINAL
cana-1220	78	2	1	CARDINAL
cana-1220	78	3	𝑣𝑛𝑣1	ORG
cana-1220	78	4	2	CARDINAL
cana-1220	87	1	𝑣5)|	DATE
cana-1220	90	1	5	CARDINAL
cana-1220	90	2	5	CARDINAL
cana-1220	90	3	4	CARDINAL
cana-1220	91	1	c5	ORG
cana-1220	91	2	c3	PERSON
cana-1220	91	3	c1.	PERSON
cana-1220	94	1	two	CARDINAL
cana-1220	95	1	5	CARDINAL
cana-1220	96	1	5	CARDINAL
cana-1220	96	2	n ≠3m+3	ORG
cana-1220	97	1	2	CARDINAL
cana-1220	97	2	3	CARDINAL
cana-1220	97	3	+ 3	DATE
cana-1220	97	4	→{c1	ORG
cana-1220	97	5	c2, c3	ORG
cana-1220	97	6	1≤	FAC
cana-1220	98	1	1	CARDINAL
cana-1220	99	1	2	CARDINAL
cana-1220	99	2	0	CARDINAL
cana-1220	99	3	3	CARDINAL
cana-1220	100	1	1	CARDINAL
cana-1220	100	2	c3	PERSON
cana-1220	100	3	𝑣𝑛𝑣1	ORG
cana-1220	100	4	1	CARDINAL
cana-1220	101	1	2	CARDINAL
cana-1220	101	2	0 mod 3 𝑐4	QUANTITY
cana-1220	113	1	𝑣5)|	DATE
cana-1220	115	1	5	CARDINAL
cana-1220	115	2	5	CARDINAL
cana-1220	115	3	4	CARDINAL
cana-1220	116	1	c3	ORG
cana-1220	116	2	c2.	PERSON
cana-1220	121	1	two	CARDINAL
cana-1220	122	1	5	CARDINAL
cana-1220	123	1	5	CARDINAL
cana-1220	123	2	3m+3	PRODUCT
cana-1220	124	1	1074	CARDINAL
cana-1220	125	1	6s	CARDINAL
cana-1220	125	2	2024	CARDINAL
cana-1220	125	3	263	CARDINAL
cana-1220	125	4	3	CARDINAL
cana-1220	125	5	𝐶6	CARDINAL
cana-1220	125	6	3.6	CARDINAL
cana-1220	125	7	2	CARDINAL
cana-1220	125	8	2n+1	LOC
cana-1220	126	1	1 ≤	QUANTITY
cana-1220	126	2	1 ≤	QUANTITY
cana-1220	129	1	2n	CARDINAL
cana-1220	129	2	1 ≤	QUANTITY
cana-1220	129	3	2 ≤	QUANTITY
cana-1220	130	1	1	CARDINAL
cana-1220	130	2	1	CARDINAL
cana-1220	131	1	1	CARDINAL
cana-1220	134	1	1 ≤	QUANTITY
cana-1220	139	1	+ 1	DATE
cana-1220	139	2	2n	CARDINAL
cana-1220	139	3	2n	CARDINAL
cana-1220	140	1	2n	CARDINAL
cana-1220	141	1	2n	CARDINAL
cana-1220	141	2	1 ≤ i ≤ n	QUANTITY
cana-1220	142	1	one	CARDINAL
cana-1220	142	2	two	CARDINAL
cana-1220	143	1	2n	CARDINAL
cana-1220	143	2	2n+1	LOC
cana-1220	144	1	1074	CARDINAL
cana-1220	145	1	6s	CARDINAL
cana-1220	145	2	2024	CARDINAL
cana-1220	145	3	264	CARDINAL
cana-1220	145	4	4	CARDINAL
cana-1220	145	5	𝐹4	CARDINAL
cana-1220	145	6	3.7	CARDINAL
cana-1220	145	7	4	CARDINAL
cana-1220	145	8	3 5	DATE
cana-1220	145	9	n ≠ 3	PERSON
cana-1220	146	1	1 ≤ i ≤	QUANTITY
cana-1220	147	1	1	CARDINAL
cana-1220	147	2	v(g	WORK_OF_ART
cana-1220	148	1	→{c1	ORG
cana-1220	148	2	c2, c3	ORG
cana-1220	148	3	1≤	ORG
cana-1220	149	1	1	CARDINAL
cana-1220	149	2	c3	PERSON
cana-1220	149	3	𝑣4 𝑐3	GPE
cana-1220	149	4	c3	PERSON
cana-1220	149	5	v2v3 c1	PERSON
cana-1220	150	1	4	CARDINAL
cana-1220	150	2	2	CARDINAL
cana-1220	150	3	v(g	WORK_OF_ART
cana-1220	151	1	→{c1	ORG
cana-1220	151	2	c2, c3	ORG
cana-1220	151	3	1≤	ORG
cana-1220	151	4	0	CARDINAL
cana-1220	151	5	2	CARDINAL
cana-1220	151	6	1	CARDINAL
cana-1220	153	1	1	CARDINAL
cana-1220	153	2	c3	PERSON
cana-1220	153	3	2	CARDINAL
cana-1220	153	4	1	CARDINAL
cana-1220	154	1	0	CARDINAL
cana-1220	154	2	3	CARDINAL
cana-1220	154	3	1074	CARDINAL
cana-1220	155	1	6s	CARDINAL
cana-1220	155	2	2024	CARDINAL
cana-1220	155	3	265	CARDINAL
cana-1220	156	1	𝑣𝑖+1)|	CARDINAL
cana-1220	158	1	5	CARDINAL
cana-1220	158	2	4	CARDINAL
cana-1220	159	1	c3	PERSON
cana-1220	159	2	5	CARDINAL
cana-1220	159	3	1	CARDINAL
cana-1220	164	1	two	CARDINAL
cana-1220	165	1	5	CARDINAL
cana-1220	166	1	5	CARDINAL
cana-1220	166	2	n ≠3m+3	ORG
cana-1220	166	3	3	CARDINAL
cana-1220	166	4	3	CARDINAL
cana-1220	166	5	+ 3	DATE
cana-1220	166	6	v(g	WORK_OF_ART
cana-1220	167	1	→{c1	ORG
cana-1220	167	2	c2, c3	ORG
cana-1220	167	3	1≤ i ≤	MONEY
cana-1220	168	1	1	CARDINAL
cana-1220	168	2	c3	PERSON
cana-1220	168	3	1	CARDINAL
cana-1220	168	4	2	CARDINAL
cana-1220	168	5	0	CARDINAL
cana-1220	168	6	0	CARDINAL
cana-1220	169	1	2	CARDINAL
cana-1220	169	2	i ≠ 2 𝑐1	PERSON
cana-1220	169	3	1	CARDINAL
cana-1220	171	1	𝑣𝑖+1)|	CARDINAL
cana-1220	173	1	5	CARDINAL
cana-1220	173	2	4	CARDINAL
cana-1220	174	1	c3	PERSON
cana-1220	174	2	c1	PERSON
cana-1220	174	3	c3	PERSON
cana-1220	174	4	6-pan	QUANTITY
cana-1220	174	5	1	CARDINAL
cana-1220	180	1	two	CARDINAL
cana-1220	182	1	5	CARDINAL
cana-1220	182	2	3m+3	PRODUCT
cana-1220	182	3	5	CARDINAL
cana-1220	182	4	5	CARDINAL
cana-1220	182	5	3.8 let bn	MONEY
cana-1220	182	6	χpg(bn,	GPE
cana-1220	183	1	n + 2	ORG
cana-1220	183	2	n + 4	LOC
cana-1220	183	3	n ≡ 1 mod 6	ORG
cana-1220	183	4	n ≡ 0 mod 6	ORG
cana-1220	183	5	1074	CARDINAL
cana-1220	184	1	6s	CARDINAL
cana-1220	184	2	2024	CARDINAL
cana-1220	184	3	266	CARDINAL
cana-1220	184	4	2n+2	CARDINAL
cana-1220	184	5	2n+1	ORG
cana-1220	185	1	1	CARDINAL
cana-1220	186	1	{ vi :1	PERSON
cana-1220	187	1	c2 , c3	ORG
cana-1220	189	1	= ci	PERSON
cana-1220	189	2	2 ≤	QUANTITY
cana-1220	189	3	1	CARDINAL
cana-1220	189	4	1	CARDINAL
cana-1220	190	1	1	CARDINAL
cana-1220	190	2	c3	PERSON
cana-1220	191	1	− ci = ci−1	PERSON
cana-1220	191	2	− ci = cn+2−i hence	PERSON
cana-1220	192	1	χpg(bn	GPE
cana-1220	192	2	χpg(bn,	GPE
cana-1220	192	3	χpg(bn	GPE
cana-1220	193	1	n + 2	ORG
cana-1220	195	1	=ci	PERSON
cana-1220	195	2	two	CARDINAL
cana-1220	196	1	χpg(bn	GPE
cana-1220	197	1	χpg(bn	GPE
cana-1220	197	2	2	CARDINAL
cana-1220	198	1	2	CARDINAL
cana-1220	199	1	{ vi :1	PERSON
cana-1220	200	1	c2 , c3	ORG
cana-1220	202	1	= ci	PERSON
cana-1220	203	1	2 ≤	QUANTITY
cana-1220	206	1	1	CARDINAL
cana-1220	206	2	1	CARDINAL
cana-1220	206	3	1	CARDINAL
cana-1220	206	4	c3	PERSON
cana-1220	206	5	c1 −	PERSON
cana-1220	206	6	− ci = ci−1	PERSON
cana-1220	207	1	χpg(bn	GPE
cana-1220	207	2	χpg(bn,	GPE
cana-1220	207	3	χpg(bn	GPE
cana-1220	208	1	n + 2	PRODUCT
cana-1220	209	1	=ci	PERSON
cana-1220	211	1	χpg(bn	GPE
cana-1220	211	2	χpg(bn	GPE
cana-1220	211	3	3	CARDINAL
cana-1220	212	1	3	CARDINAL
cana-1220	213	1	{ vi :1	PERSON
cana-1220	214	1	……	PRODUCT
cana-1220	216	1	= ci	PERSON
cana-1220	217	1	2 ≤	QUANTITY
cana-1220	217	2	1	CARDINAL
cana-1220	217	3	1	CARDINAL
cana-1220	217	4	1	CARDINAL
cana-1220	217	5	c3	PERSON
cana-1220	217	6	c1 −	PERSON
cana-1220	217	7	− ci = ci−1	PERSON
cana-1220	217	8	− ci +2 = cn+2−i hence	PERSON
cana-1220	218	1	χpg(bn	GPE
cana-1220	218	2	χpg(bn,	GPE
cana-1220	218	3	χpg(bn	GPE
cana-1220	219	1	n + 4	ORG
cana-1220	222	1	=ci	PERSON
cana-1220	224	1	χpg(bn	GPE
cana-1220	225	1	χpg(bn	GPE
cana-1220	225	2	4	CARDINAL
cana-1220	225	3	4	CARDINAL
cana-1220	225	4	0	CARDINAL
cana-1220	228	1	{ vi :1	PERSON
cana-1220	229	1	c2 , c3	ORG
cana-1220	231	1	= ci	PERSON
cana-1220	231	2	1	CARDINAL
cana-1220	231	3	1	CARDINAL
cana-1220	232	1	1	CARDINAL
cana-1220	232	2	c3	PERSON
cana-1220	232	3	c1 − cn+5	PERSON
cana-1220	233	1	− ci = ci−1	PERSON
cana-1220	233	2	∗	CARDINAL
cana-1220	233	3	− ci +3 = cn+2−i hence	PERSON
cana-1220	234	1	χpg(bn	GPE
cana-1220	234	2	χpg(bn,	GPE
cana-1220	234	3	χpg(bn	GPE
cana-1220	235	1	n + 4	ORG
cana-1220	236	1	1074	CARDINAL
cana-1220	237	1	6s	CARDINAL
cana-1220	237	2	2024	CARDINAL
cana-1220	237	3	267	CARDINAL
cana-1220	239	1	=ci	PERSON
cana-1220	241	1	χpg(bn	GPE
cana-1220	242	1	χpg(bn	GPE
cana-1220	242	2	5	CARDINAL
cana-1220	242	3	n ≡ 0 mod 6.	ORG
cana-1220	242	4	6	CARDINAL
cana-1220	246	1	english	LANGUAGE
cana-1220	246	2	s.	PERSON
cana-1220	246	3	mathematica bohemica	PERSON
cana-1220	247	1	57-73	CARDINAL
cana-1220	247	2	2017	CARDINAL
cana-1220	248	1	2	CARDINAL
cana-1220	248	2	gallian	NORP
cana-1220	248	3	j.a.	PERSON
cana-1220	249	1	2015	CARDINAL
cana-1220	250	1	3	CARDINAL
cana-1220	250	2	r.	NORP
cana-1220	250	3	scientific & technology	ORG
cana-1220	250	4	8	CARDINAL
cana-1220	250	5	08	DATE
cana-1220	250	6	august	DATE
cana-1220	250	7	2019	DATE
cana-1220	251	1	4	CARDINAL
cana-1220	251	2	s.p.	GPE
cana-1220	251	3	pooja lakshmi	ORG
cana-1220	251	4	1316113171	DATE
cana-1220	251	5	2021	CARDINAL
cana-1220	252	1	5	CARDINAL
cana-1220	252	2	rosa, a.:	ORG
cana-1220	252	3	international)symposium	GPE
cana-1220	252	4	rome	GPE
cana-1220	252	5	july 1966	DATE
cana-1220	252	6	gordon	PERSON
cana-1220	252	7	n.y.	GPE
cana-1220	252	8	paris	GPE
cana-1220	252	9	355	CARDINAL
cana-1220	252	10	1967	DATE
cana-1220	253	1	6	CARDINAL
cana-1220	255	1	thai journal of mathematics	ORG
cana-1220	255	2	19	CARDINAL
cana-1220	255	3	4	CARDINAL
cana-1220	255	4	2021	CARDINAL
cana-1220	256	1	7	CARDINAL
cana-1220	256	2	t.m.	GPE
cana-1220	256	3	subramoniam	NORP
cana-1220	256	4	r.	NORP
cana-1220	256	5	750	CARDINAL
cana-1220	256	6	2018	DATE
cana-1220	257	1	8	CARDINAL
cana-1220	257	2	siti khoirunnisa	PERSON
cana-1220	257	3	indah kristiana	GPE
cana-1220	257	4	5	CARDINAL
cana-1220	257	5	4	CARDINAL
cana-1220	257	6	68	CARDINAL
cana-1220	257	7	2021	CARDINAL
cana-1220	258	1	9	CARDINAL
cana-1220	258	2	a.	PERSON
cana-1220	258	3	a.n.	GPE
cana-1220	258	4	k.	PERSON
cana-1220	258	5	11	CARDINAL
cana-1220	259	1	365-368	CARDINAL
cana-1220	259	2	1982	DATE
cana-1220	260	1	10	CARDINAL
cana-1220	260	2	vernold vivin	PERSON
cana-1220	260	3	j.; kowsalya	PERSON
cana-1220	260	4	vimal kumar	PERSON
cana-1220	260	5	s.	PERSON
cana-1220	260	6	9	CARDINAL
cana-1220	260	7	687-692	CARDINAL
cana-1220	260	8	2019	DATE
cana-1220	261	1	11	CARDINAL
cana-1220	261	2	alexis byers	PERSON
cana-1220	262	1	sean english	PERSON
cana-1220	262	2	elliot laforge	PERSON
cana-1220	262	3	ping zhang	PERSON
cana-1220	262	4	101	CARDINAL
cana-1220	262	5	101	CARDINAL
cana-1220	262	6	2017	CARDINAL