id	sid	eid	entity	type
cana-6073	1	1	1074	CARDINAL
cana-6073	2	1	1184	DATE
cana-6073	2	2	n. jeyasree1	PERSON
cana-6073	2	3	dr s. chelliah2	PERSON
cana-6073	3	1	21121072092002	DATE
cana-6073	3	2	the m.d.t hindu college	ORG
cana-6073	3	3	manonmaniam sundaranar university	ORG
cana-6073	3	4	tirunelveli	GPE
cana-6073	3	5	india	GPE
cana-6073	3	6	2associate	CARDINAL
cana-6073	3	7	the m.d.t hindu college	ORG
cana-6073	3	8	manonmaniam sundaranar university	ORG
cana-6073	3	9	tirunelveli	GPE
cana-6073	3	10	india	GPE
cana-6073	3	11	received:01/10/2024	DATE
cana-6073	3	12	30/12/2024	DATE
cana-6073	4	1	two	CARDINAL
cana-6073	6	1	γdd(g	GPE
cana-6073	6	2	at least one	CARDINAL
cana-6073	13	1	one	CARDINAL
cana-6073	14	1	mailto:kscmdt@gmail.com	ORG
cana-6073	14	2	1074	CARDINAL
cana-6073	15	1	2024	CARDINAL
cana-6073	15	2	1185	CARDINAL
cana-6073	20	1	first	ORDINAL
cana-6073	24	1	1	CARDINAL
cana-6073	24	2	∈	ORG
cana-6073	25	1	max	PERSON
cana-6073	27	1	2	CARDINAL
cana-6073	27	2	⊆	CARDINAL
cana-6073	27	3	∈	ORG
cana-6073	27	4	𝑢.	GPE
cana-6073	27	5	∈	PRODUCT
cana-6073	27	6	∃𝑢 ∈ 𝑆	PERSON
cana-6073	27	7	∈	ORG
cana-6073	27	8	𝑃𝑢𝑣	PERSON
cana-6073	27	9	𝑆	ORG
cana-6073	28	1	3	CARDINAL
cana-6073	28	2	𝜸𝒅𝒅(𝑮	NORP
cana-6073	29	1	⊆	CARDINAL
cana-6073	30	1	𝑆	ORG
cana-6073	32	1	4	CARDINAL
cana-6073	33	1	𝑆	ORG
cana-6073	33	2	1074	CARDINAL
cana-6073	34	1	2024	CARDINAL
cana-6073	34	2	1186	CARDINAL
cana-6073	35	1	max{𝑙𝑑(𝑠	DATE
cana-6073	35	2	max	PERSON
cana-6073	35	3	•	CARDINAL
cana-6073	35	4	•	CARDINAL
cana-6073	37	1	1	CARDINAL
cana-6073	37	2	2	CARDINAL
cana-6073	38	1	1	CARDINAL
cana-6073	38	2	1	CARDINAL
cana-6073	38	3	two	CARDINAL
cana-6073	38	4	2	CARDINAL
cana-6073	40	1	one	CARDINAL
cana-6073	41	1	1	CARDINAL
cana-6073	41	2	𝐴 −	PERSON
cana-6073	42	1	𝐽𝑛	PERSON
cana-6073	42	2	𝐼𝑛	PERSON
cana-6073	43	1	1074	CARDINAL
cana-6073	44	1	2024	CARDINAL
cana-6073	44	2	1187	CARDINAL
cana-6073	45	1	1	CARDINAL
cana-6073	46	1	𝑥𝑛)𝑇	NORP
cana-6073	46	2	𝑆 ⊆ 𝑉	ORG
cana-6073	47	1	1	CARDINAL
cana-6073	48	1	1,2	MONEY
cana-6073	48	2	at least one	CARDINAL
cana-6073	50	1	𝑖=1	GPE
cana-6073	50	2	1	CARDINAL
cana-6073	51	1	𝑖=1	GPE
cana-6073	51	2	𝑖=1	GPE
cana-6073	52	1	1	CARDINAL
cana-6073	52	2	1,2	MONEY
cana-6073	52	3	0,1	CARDINAL
cana-6073	52	4	1,2	CARDINAL
cana-6073	53	1	𝑖=1	GPE
cana-6073	53	2	1	CARDINAL
cana-6073	54	1	2	CARDINAL
cana-6073	54	2	1	CARDINAL
cana-6073	55	1	3	CARDINAL
cana-6073	55	2	1074	CARDINAL
cana-6073	56	1	2024	CARDINAL
cana-6073	56	2	1188	CARDINAL
cana-6073	58	1	two	CARDINAL
cana-6073	58	2	𝐷(𝑣𝑖	PERSON
cana-6073	58	3	∈ 𝑉	ORG
cana-6073	58	4	∀𝑣𝑘 ∈ 𝑉	PERSON
cana-6073	58	5	∈	ORG
cana-6073	58	6	third	ORDINAL
cana-6073	60	1	⋃	DATE
cana-6073	61	1	1	CARDINAL
cana-6073	61	2	1,2	CARDINAL
cana-6073	61	3	∈ 𝑉	ORG
cana-6073	61	4	𝑥𝑘−1	PERSON
cana-6073	61	5	0	CARDINAL
cana-6073	62	1	1	CARDINAL
cana-6073	63	1	0,1	CARDINAL
cana-6073	63	2	1074	CARDINAL
cana-6073	64	1	2024	CARDINAL
cana-6073	64	2	1189	CARDINAL
cana-6073	65	1	− min	PERSON
cana-6073	65	2	0,1	CARDINAL
cana-6073	65	3	1	CARDINAL
cana-6073	66	1	𝑁𝐷[𝑖	PERSON
cana-6073	66	2	+ 1} ∩ [	DATE
cana-6073	66	3	1	CARDINAL
cana-6073	67	1	3	CARDINAL
cana-6073	67	2	3	CARDINAL
cana-6073	67	3	3	CARDINAL
cana-6073	68	1	𝑉 − {𝑣1	ORG
cana-6073	68	2	two	CARDINAL
cana-6073	69	1	2	CARDINAL
cana-6073	69	2	𝑆 ⊆ 𝑉	ORG
cana-6073	69	3	∈	ORG
cana-6073	70	1	up to half	CARDINAL
cana-6073	70	2	3	CARDINAL
cana-6073	71	1	∈ 𝑉 ∣	PRODUCT
cana-6073	71	2	1074	CARDINAL
cana-6073	72	1	2024	CARDINAL
cana-6073	72	2	1190	CARDINAL
cana-6073	72	3	3	CARDINAL
cana-6073	73	1	1	CARDINAL
cana-6073	74	1	1	CARDINAL
cana-6073	74	2	∈ 𝑉	ORG
cana-6073	74	3	≥ 1	DATE
cana-6073	74	4	𝑥𝑛+1 −	GPE
cana-6073	75	1	1	CARDINAL
cana-6073	75	2	1	CARDINAL
cana-6073	75	3	3	CARDINAL
cana-6073	75	4	4	CARDINAL
cana-6073	75	5	𝐵1	DATE
cana-6073	76	1	𝑖=1	GPE
cana-6073	76	2	2	CARDINAL
cana-6073	77	1	two	CARDINAL
cana-6073	78	1	𝑑(𝑢	PERSON
cana-6073	79	1	1074	CARDINAL
cana-6073	80	1	2024	CARDINAL
cana-6073	80	2	𝑖=1 𝐵𝑖	FAC
cana-6073	81	1	𝐵𝑖	PERSON
cana-6073	81	2	2	CARDINAL
cana-6073	82	1	2	CARDINAL
cana-6073	82	2	𝑖=1	GPE
cana-6073	82	3	2	CARDINAL
cana-6073	82	4	∈	ORG
cana-6073	82	5	0,1	CARDINAL
cana-6073	82	6	1	CARDINAL
cana-6073	82	7	∃𝑣 ∈ 𝑉(𝑇	PERSON
cana-6073	82	8	1	CARDINAL
cana-6073	82	9	∈	ORG
cana-6073	82	10	max	PERSON
cana-6073	82	11	max	PERSON
cana-6073	82	12	1	CARDINAL
cana-6073	82	13	1	CARDINAL
cana-6073	82	14	0,1	CARDINAL
cana-6073	82	15	𝑖=1	GPE
cana-6073	82	16	2	CARDINAL
cana-6073	83	1	chartrand	GPE
cana-6073	83	2	2004	DATE
cana-6073	85	1	utilitas mathematica	PERSON
cana-6073	85	2	65	DATE
cana-6073	85	3	169–179.this	CARDINAL
cana-6073	86	1	2	CARDINAL
cana-6073	86	2	mahalakshmi	PERSON
cana-6073	86	3	a., & palani	ORG
cana-6073	86	4	2020	DATE
cana-6073	88	1	malaya	GPE
cana-6073	88	2	matematik	PERSON
cana-6073	88	3	8(3	DATE
cana-6073	88	4	950–955.this	CARDINAL
cana-6073	88	5	1074	CARDINAL
cana-6073	89	1	2024	CARDINAL
cana-6073	89	2	1192	CARDINAL
cana-6073	90	1	3	CARDINAL
cana-6073	90	2	shanthi	ORG
cana-6073	90	3	nagarajan, a., & mahalakshmi	ORG
cana-6073	90	4	a.	PERSON
cana-6073	90	5	2020	DATE
cana-6073	92	1	malaya	GPE
cana-6073	92	2	matematik	ORG
cana-6073	92	3	361–365.an	CARDINAL
cana-6073	93	1	4	CARDINAL
cana-6073	93	2	vaidya	PERSON
cana-6073	93	3	s. k.	PERSON
cana-6073	93	4	r. n.	PERSON
cana-6073	93	5	2015	DATE
cana-6073	95	1	5(2	DATE
cana-6073	96	1	5	CARDINAL
cana-6073	96	2	mahalakshmi	PERSON
cana-6073	96	3	a., & priya	ORG
cana-6073	96	4	2021	CARDINAL
cana-6073	98	1	malaya	GPE
cana-6073	98	2	matematik, s-200105	ORG
cana-6073	99	1	6	CARDINAL
cana-6073	99	2	prasanna	PERSON
cana-6073	99	3	a., &mohamedazarudeen	ORG
cana-6073	99	4	2022	CARDINAL
cana-6073	101	1	algebraic statistics	ORG
cana-6073	101	2	13(2	CARDINAL
cana-6073	101	3	3218–3225.presents	CARDINAL
cana-6073	102	1	jayasekaran	PERSON
cana-6073	102	2	c., palani	GPE
cana-6073	102	3	k., & mahalakshmi	ORG
cana-6073	102	4	a.	PERSON
cana-6073	102	5	2020	DATE
cana-6073	103	1	34(7	CARDINAL
cana-6073	103	2	100–120.analyzes	CARDINAL
cana-6073	104	1	8	CARDINAL
cana-6073	104	2	chartrand	GPE
cana-6073	104	3	g., lesniak	PERSON
cana-6073	104	4	l., & zhang	ORG
cana-6073	104	5	2018	DATE
cana-6073	106	1	journal of combinatorics	ORG
cana-6073	106	2	28(4	CARDINAL
cana-6073	106	3	389	CARDINAL
cana-6073	107	1	9	CARDINAL
cana-6073	107	2	prasanna	PERSON
cana-6073	107	3	a., & priyadharshini	ORG
cana-6073	107	4	r.	NORP
cana-6073	107	5	2019	DATE
cana-6073	109	1	algebraic statistics	ORG
cana-6073	109	2	10(2	DATE
cana-6073	109	3	2101–2107.merges	CARDINAL
cana-6073	110	1	10	CARDINAL
cana-6073	110	2	sundaram, a., & suganthi	ORG
cana-6073	110	3	2020	DATE
cana-6073	112	1	66(4	CARDINAL
cana-6073	112	2	24–30.provides	CARDINAL
cana-6073	113	1	11	CARDINAL
cana-6073	114	1	nandhini	PERSON
cana-6073	114	2	b., & rajesh	ORG
cana-6073	114	3	s.	PERSON
cana-6073	114	4	2020	DATE
cana-6073	116	1	7(2	CARDINAL
cana-6073	116	2	67	CARDINAL
cana-6073	116	3	2d	DATE
cana-6073	117	1	12	CARDINAL
cana-6073	118	1	ranjini	NORP
cana-6073	118	2	r., & sundararajan	ORG
cana-6073	118	3	2018	DATE
cana-6073	120	1	119(17	DATE
cana-6073	121	1	13	CARDINAL
cana-6073	121	2	davila	PERSON
cana-6073	121	3	r.	NORP
cana-6073	121	4	c., henning	PERSON
cana-6073	121	5	m. a.	PERSON
cana-6073	121	6	f.	PERSON
cana-6073	121	7	2015	CARDINAL
cana-6073	123	1	arxiv preprint	ORG
cana-6073	123	2	arxiv:1507.08745.although	PERSON
cana-6073	124	1	1074	CARDINAL
cana-6073	125	1	2024	CARDINAL
cana-6073	125	2	1193	CARDINAL
cana-6073	125	3	14	DATE
cana-6073	126	1	mojdeh	ORG
cana-6073	126	2	d. a.	PERSON
cana-6073	126	3	musawi	GPE
cana-6073	126	4	s. r.,	PERSON
cana-6073	126	5	2018	DATE
cana-6073	127	1	bipartite	ORG
cana-6073	128	1	arxiv preprint	ORG
cana-6073	128	2	bipartite	ORG
cana-6073	129	1	15	CARDINAL
cana-6073	130	1	kang	PERSON
cana-6073	130	2	c. x.	PERSON
cana-6073	130	3	2014	DATE
cana-6073	132	1	arxiv preprint	ORG
cana-6073	133	1	16	CARDINAL
cana-6073	134	1	bessy	ORG
cana-6073	134	2	s.	PERSON
cana-6073	134	3	2015	CARDINAL
cana-6073	136	1	arxiv preprint	ORG
cana-6073	137	1	17	CARDINAL
cana-6073	138	1	veni	ORG
cana-6073	138	2	k., & mahalakshmi	ORG
cana-6073	138	3	a.	PERSON
cana-6073	138	4	2021	CARDINAL
cana-6073	139	1	generalized petersen	ORG
cana-6073	140	1	55	CARDINAL
cana-6073	140	2	68.explores	CARDINAL