id	sid	eid	entity	type
cana-4037	1	1	1074	CARDINAL
cana-4037	1	2	32	CARDINAL
cana-4037	2	1	9s	CARDINAL
cana-4037	2	2	2025	CARDINAL
cana-4037	2	3	894	CARDINAL
cana-4037	2	4	1	CARDINAL
cana-4037	2	5	maheswari	ORG
cana-4037	2	6	3v	CARDINAL
cana-4037	3	1	balaji 1research	ORG
cana-4037	3	2	chennai	GPE
cana-4037	3	3	tamil nadu	LOC
cana-4037	3	4	india	GPE
cana-4037	3	5	2,*research	CARDINAL
cana-4037	3	6	chennai	GPE
cana-4037	3	7	tamil nadu	LOC
cana-4037	3	8	india	GPE
cana-4037	4	1	3associate	CARDINAL
cana-4037	4	2	tirupattur	GPE
cana-4037	4	3	tamil nadu	GPE
cana-4037	4	4	india	GPE
cana-4037	5	1	12-11-2024	CARDINAL
cana-4037	5	2	17	CARDINAL
cana-4037	5	3	06-01-2025	CARDINAL
cana-4037	5	4	∈	ORG
cana-4037	6	1	𝑉 − 𝐷	ORG
cana-4037	6	2	2	CARDINAL
cana-4037	8	1	two	CARDINAL
cana-4037	8	2	1	CARDINAL
cana-4037	9	1	1-5	CARDINAL
cana-4037	11	1	∈	ORG
cana-4037	12	1	|𝑁(𝑢)|	CARDINAL
cana-4037	14	1	0	CARDINAL
cana-4037	15	1	10	CARDINAL
cana-4037	15	2	c. berge	PERSON
cana-4037	15	3	4	CARDINAL
cana-4037	17	1	kulli v.r.	PERSON
cana-4037	17	2	jankiram	PERSON
cana-4037	17	3	radha r iyer	PERSON
cana-4037	18	1	6	CARDINAL
cana-4037	20	1	𝛾𝑐𝑡(𝐺	ORG
cana-4037	21	1	sahal	PERSON
cana-4037	23	1	11	CARDINAL
cana-4037	23	2	2oded	PERSON
cana-4037	24	1	v(g	WORK_OF_ART
cana-4037	24	2	2oded	PERSON
cana-4037	24	3	∈	ORG
cana-4037	26	1	2oded	GPE
cana-4037	26	2	2oded	PRODUCT
cana-4037	27	1	2oded	GPE
cana-4037	28	1	2	CARDINAL
cana-4037	28	2	2	CARDINAL
cana-4037	28	3	2.1	CARDINAL
cana-4037	28	4	∈	ORG
cana-4037	29	1	2	CARDINAL
cana-4037	29	2	2	CARDINAL
cana-4037	29	3	1074	CARDINAL
cana-4037	29	4	32	CARDINAL
cana-4037	30	1	9s	CARDINAL
cana-4037	30	2	895	CARDINAL
cana-4037	32	1	2	CARDINAL
cana-4037	32	2	2	CARDINAL
cana-4037	33	1	2.2	CARDINAL
cana-4037	33	2	1	CARDINAL
cana-4037	34	1	2	CARDINAL
cana-4037	34	2	1,2,3,5,6,7	DATE
cana-4037	34	3	1,2,3,5,6,7}|	DATE
cana-4037	34	4	2	CARDINAL
cana-4037	34	5	1,2,3,5,6,7}|	CARDINAL
cana-4037	34	6	2	CARDINAL
cana-4037	35	1	1,2,3,5,6,7}|	CARDINAL
cana-4037	35	2	2	CARDINAL
cana-4037	35	3	4,8,9,10}form	CARDINAL
cana-4037	35	4	zero	CARDINAL
cana-4037	36	1	2oded	GPE
cana-4037	37	1	3	CARDINAL
cana-4037	37	2	2.3	CARDINAL
cana-4037	37	3	2≤	DATE
cana-4037	37	4	𝑛.	PERSON
cana-4037	37	5	2.4 1	DATE
cana-4037	38	1	2 2	DATE
cana-4037	38	2	3	CARDINAL
cana-4037	38	3	bipartite	NORP
cana-4037	39	1	2	CARDINAL
cana-4037	39	2	− 𝑞| ≤ 2𝑝 +	WORK_OF_ART
cana-4037	39	3	2	CARDINAL
cana-4037	39	4	4	CARDINAL
cana-4037	41	1	2 6	DATE
cana-4037	42	1	𝑆𝑟,𝑡	GPE
cana-4037	42	2	1074	CARDINAL
cana-4037	42	3	32	CARDINAL
cana-4037	44	1	9s	CARDINAL
cana-4037	44	2	896	CARDINAL
cana-4037	44	3	3	CARDINAL
cana-4037	45	1	2	CARDINAL
cana-4037	46	1	3.1	CARDINAL
cana-4037	60	1	2oded	GPE
cana-4037	61	1	2oded	GPE
cana-4037	62	1	3.2	DATE
cana-4037	67	1	𝑣𝑛+2	PRODUCT
cana-4037	70	1	𝑣𝑛+2	PRODUCT
cana-4037	73	1	|𝑁(𝑣𝑛+𝑖	PERSON
cana-4037	74	1	𝑣𝑛}|	PERSON
cana-4037	76	1	0	CARDINAL
cana-4037	76	2	2	CARDINAL
cana-4037	77	1	2	CARDINAL
cana-4037	77	2	𝑉 − 𝐷	ORG
cana-4037	77	3	zero	CARDINAL
cana-4037	79	1	𝑛.	PERSON
cana-4037	80	1	2𝑛	CARDINAL
cana-4037	80	2	1	CARDINAL
cana-4037	83	1	𝑣𝑛+2	PRODUCT
cana-4037	86	1	𝑣𝑛+2	PRODUCT
cana-4037	87	1	𝑣𝑛−1	ORG
cana-4037	90	1	𝑣𝑛+1}| = 2 𝑜𝑑𝐷(𝑣2	ORG
cana-4037	90	2	2	CARDINAL
cana-4037	90	3	∩	PERSON
cana-4037	90	4	2	CARDINAL
cana-4037	91	1	∈	ORG
cana-4037	91	2	2	CARDINAL
cana-4037	93	1	3.4	CARDINAL
cana-4037	97	1	zero	CARDINAL
cana-4037	98	1	2ode	CARDINAL
cana-4037	98	2	1074	CARDINAL
cana-4037	98	3	32	CARDINAL
cana-4037	99	1	9s	CARDINAL
cana-4037	99	2	2025	CARDINAL
cana-4037	99	3	897	CARDINAL
cana-4037	99	4	𝑢𝑖+1𝑣𝑖	ORDINAL
cana-4037	102	1	2	CARDINAL
cana-4037	102	2	1	CARDINAL
cana-4037	102	3	𝑤𝑖−1	ORG
cana-4037	102	4	4	CARDINAL
cana-4037	102	5	2	CARDINAL
cana-4037	103	1	𝑛. hence|𝑜𝑑𝐷(𝑢𝑖	PERSON
cana-4037	104	1	∈	ORG
cana-4037	104	2	2	CARDINAL
cana-4037	104	3	zero	CARDINAL
cana-4037	106	1	+ 1	DATE
cana-4037	106	2	𝐺2	ORG
cana-4037	106	3	𝐺2	CARDINAL
cana-4037	106	4	one	CARDINAL
cana-4037	106	5	two	CARDINAL
cana-4037	106	6	3.6	CARDINAL
cana-4037	107	1	𝑣𝑖are pendant vertices	GPE
cana-4037	109	1	− 𝐷|	PERSON
cana-4037	109	2	2	CARDINAL
cana-4037	109	3	− 𝐷|	PERSON
cana-4037	109	4	2	CARDINAL
cana-4037	111	1	0 ≤ 2	MONEY
cana-4037	111	2	2	CARDINAL
cana-4037	112	1	zero	CARDINAL
cana-4037	113	1	2	CARDINAL
cana-4037	115	1	2	CARDINAL
cana-4037	115	2	3.7	CARDINAL
cana-4037	116	1	2	CARDINAL
cana-4037	116	2	6	CARDINAL
cana-4037	117	1	1 𝑛	CARDINAL
cana-4037	118	1	6	CARDINAL
cana-4037	119	1	0 ≤	MONEY
cana-4037	119	2	1	CARDINAL
cana-4037	119	3	0 ≤	MONEY
cana-4037	120	1	3	CARDINAL
cana-4037	120	2	4	CARDINAL
cana-4037	120	3	∩	PERSON
cana-4037	120	4	2	CARDINAL
cana-4037	121	1	2	CARDINAL
cana-4037	123	1	2	CARDINAL
cana-4037	123	2	2oded	GPE
cana-4037	125	1	2	CARDINAL
cana-4037	125	2	+ 1	DATE
cana-4037	125	3	2	CARDINAL
cana-4037	125	4	6	CARDINAL
cana-4037	125	5	2oded	GPE
cana-4037	126	1	1074	CARDINAL
cana-4037	126	2	32	CARDINAL
cana-4037	127	1	9s	CARDINAL
cana-4037	127	2	2025	CARDINAL
cana-4037	127	3	898	CARDINAL
cana-4037	128	1	1	CARDINAL
cana-4037	128	2	0 ≤	MONEY
cana-4037	129	1	1	CARDINAL
cana-4037	129	2	0 ≤	MONEY
cana-4037	130	1	3	CARDINAL
cana-4037	130	2	3	CARDINAL
cana-4037	130	3	2	CARDINAL
cana-4037	131	1	2	CARDINAL
cana-4037	132	1	2	CARDINAL
cana-4037	133	1	2	CARDINAL
cana-4037	133	2	3.8	CARDINAL
cana-4037	134	1	3.9	CARDINAL
cana-4037	136	1	3	CARDINAL
cana-4037	137	1	e(c𝑛	GPE
cana-4037	141	1	𝑣𝑛−2	ORG
cana-4037	143	1	two	CARDINAL
cana-4037	143	2	two	CARDINAL
cana-4037	144	1	four	CARDINAL
cana-4037	144	2	four	CARDINAL
cana-4037	145	1	∈d	GPE
cana-4037	147	1	2	CARDINAL
cana-4037	148	1	now,|𝐷| =𝑛	PERSON
cana-4037	150	1	3	CARDINAL
cana-4037	150	2	3.10	CARDINAL
cana-4037	151	1	2	CARDINAL
cana-4037	151	2	2	CARDINAL
cana-4037	156	1	two	CARDINAL
cana-4037	156	2	2	CARDINAL
cana-4037	156	3	∈d	GPE
cana-4037	158	1	2oded	GPE
cana-4037	159	1	hence,𝛾𝑐𝑡2𝑜𝑒(t2(p𝑛	ORG
cana-4037	160	1	2.\	CARDINAL
cana-4037	160	2	3.11	CARDINAL
cana-4037	160	3	γct2oe(t2(pn+	PERSON
cana-4037	161	1	2n 1 forn	DATE
cana-4037	161	2	2	CARDINAL
cana-4037	161	3	2	CARDINAL
cana-4037	161	4	𝑒2𝑛−1	ORG
cana-4037	162	1	v(t2(p𝑛+	PERSON
cana-4037	163	1	𝑒2𝑛−1	ORG
cana-4037	164	1	𝑒2𝑛−1	ORG
cana-4037	166	1	two	CARDINAL
cana-4037	167	1	2	CARDINAL
cana-4037	167	2	∈d	GPE
cana-4037	169	1	2	CARDINAL
cana-4037	171	1	2𝑛	CARDINAL
cana-4037	172	1	1	CARDINAL
cana-4037	172	2	2	CARDINAL
cana-4037	172	3	1074	CARDINAL
cana-4037	172	4	32	CARDINAL
cana-4037	173	1	9s	CARDINAL
cana-4037	173	2	899	CARDINAL
cana-4037	174	1	3.12	CARDINAL
cana-4037	175	1	2n 1 forn	DATE
cana-4037	175	2	2	CARDINAL
cana-4037	175	3	𝑒2𝑛−1	ORG
cana-4037	177	1	𝑒2𝑛−1	ORG
cana-4037	178	1	𝑒2𝑛−1	ORG
cana-4037	180	1	two	CARDINAL
cana-4037	181	1	∈d	GPE
cana-4037	183	1	2	CARDINAL
cana-4037	185	1	2𝑛	CARDINAL
cana-4037	186	1	1	CARDINAL
cana-4037	186	2	2	CARDINAL
cana-4037	186	3	3.13	CARDINAL
cana-4037	186	4	k1,𝑛	PERSON
cana-4037	187	1	1with	CARDINAL
cana-4037	192	1	k1,𝑛	PERSON
cana-4037	192	2	zero	CARDINAL
cana-4037	193	1	two	CARDINAL
cana-4037	194	1	∈	ORG
cana-4037	195	1	2	CARDINAL
cana-4037	195	2	∈d	GPE
cana-4037	197	1	2	CARDINAL
cana-4037	199	1	1	CARDINAL
cana-4037	199	2	3.14	CARDINAL
cana-4037	200	1	2n	CARDINAL
cana-4037	200	2	nc3be	PERSON
cana-4037	200	3	v(𝑛𝐶3	ORG
cana-4037	202	1	t2(nc3	ORG
cana-4037	203	1	t2(nc3	ORG
cana-4037	206	1	two	CARDINAL
cana-4037	206	2	two	CARDINAL
cana-4037	207	1	four	CARDINAL
cana-4037	207	2	four	CARDINAL
cana-4037	208	1	∈d	GPE
cana-4037	210	1	2	CARDINAL
cana-4037	211	1	|𝐷|	PERSON
cana-4037	211	2	2𝑛.	CARDINAL
cana-4037	212	1	2𝑛	CARDINAL
cana-4037	212	2	≥1 4	ORG
cana-4037	212	3	2oded	GPE
cana-4037	214	1	1	CARDINAL
cana-4037	215	1	basavanagoud	PERSON
cana-4037	215	2	b., & tali	ORG
cana-4037	216	1	2014	DATE
cana-4037	218	1	301	CARDINAL
cana-4037	219	1	2	CARDINAL
cana-4037	219	2	basavanagoud	PERSON
cana-4037	219	3	b., & hosamani	ORG
cana-4037	219	4	s. m.	PERSON
cana-4037	219	5	2011	DATE
cana-4037	221	1	international journal of science and technology	ORG
cana-4037	221	2	2(4	CARDINAL
cana-4037	221	3	116-125	CARDINAL
cana-4037	222	1	3	CARDINAL
cana-4037	222	2	basavanagoud	PERSON
cana-4037	222	3	b., & malgham	ORG
cana-4037	222	4	s. h.	PERSON
cana-4037	222	5	2010	DATE
cana-4037	224	1	5	CARDINAL
cana-4037	224	2	598	CARDINAL
cana-4037	225	1	1074	CARDINAL
cana-4037	225	2	32	CARDINAL
cana-4037	226	1	9s	CARDINAL
cana-4037	226	2	2025	DATE
cana-4037	226	3	900	CARDINAL
cana-4037	226	4	4	CARDINAL
cana-4037	227	1	berge	PERSON
cana-4037	227	2	1962	DATE
cana-4037	229	1	methuen	GPE
cana-4037	229	2	london	GPE
cana-4037	230	1	5	CARDINAL
cana-4037	230	2	f.	PERSON
cana-4037	230	3	1969	DATE
cana-4037	232	1	addison-wesley	PERSON
cana-4037	232	2	ma	PERSON
cana-4037	232	3	6.	PERCENT
cana-4037	233	1	kulli	PERSON
cana-4037	233	2	v. r.	PERSON
cana-4037	233	3	jankiram	PERSON
cana-4037	233	4	radha r. iyer	PERSON
cana-4037	234	1	1999	DATE
cana-4037	236	1	discrete mathematical sciences & cryptography	ORG
cana-4037	236	2	2(2	CARDINAL
cana-4037	236	3	179	CARDINAL
cana-4037	237	1	7	CARDINAL
cana-4037	237	2	mahesh	PERSON
cana-4037	237	3	m. s.	PERSON
cana-4037	237	4	2017	CARDINAL
cana-4037	238	1	two	CARDINAL
cana-4037	239	1	8(4	CARDINAL
cana-4037	239	2	133	CARDINAL
cana-4037	239	3	8	CARDINAL
cana-4037	239	4	mathevan pillai	PERSON
cana-4037	239	5	k.	PERSON
cana-4037	239	6	mahesh	PERSON
cana-4037	239	7	m. s.	PERSON
cana-4037	239	8	santiago stephan	PERSON
cana-4037	239	9	a., & selvam	ORG
cana-4037	239	10	2018	DATE
cana-4037	240	1	two	CARDINAL
cana-4037	241	1	8(2	CARDINAL
cana-4037	241	2	361	CARDINAL
cana-4037	242	1	9	CARDINAL
cana-4037	242	2	mathevan pillai	PERSON
cana-4037	242	3	k.	PERSON
cana-4037	242	4	mahesh	PERSON
cana-4037	242	5	m. s.	PERSON
cana-4037	242	6	2016	DATE
cana-4037	243	1	two	CARDINAL
cana-4037	244	1	9(4	CARDINAL
cana-4037	244	2	22662270	DATE
cana-4037	245	1	10	CARDINAL
cana-4037	245	2	1962	DATE
cana-4037	247	1	american mathematical	ORG
cana-4037	247	2	38	CARDINAL
cana-4037	248	1	ri	GPE
cana-4037	248	2	11	CARDINAL
cana-4037	249	1	sahal,	PERSON
cana-4037	249	2	a., & mathad	ORG
cana-4037	249	3	2013	DATE
cana-4037	250	1	two	CARDINAL
cana-4037	251	1	combinatorics	ORG
cana-4037	251	2	2(3	CARDINAL
cana-4037	251	3	13	CARDINAL