id	sid	eid	entity	type
cana-5226	1	1	1074	CARDINAL
cana-5226	1	2	32	CARDINAL
cana-5226	2	1	2025	CARDINAL
cana-5226	2	2	1217	CARDINAL
cana-5226	3	1	eigen	ORG
cana-5226	3	2	chaudhary1	PERSON
cana-5226	3	3	kumar2 1research	ORG
cana-5226	3	4	mahaveer university	ORG
cana-5226	3	5	moradabad 2assistant	ORG
cana-5226	3	6	mahaveer university	ORG
cana-5226	3	7	moradabad	GPE
cana-5226	3	8	1aadarshchaudhary277@gmail.com	CARDINAL
cana-5226	3	9	2drkamesh.engineering@tmu.ac.in	ORG
cana-5226	3	10	12-01-2025	CARDINAL
cana-5226	3	11	15-02-2025	CARDINAL
cana-5226	3	12	01-03-2025	CARDINAL
cana-5226	6	1	eigen value	ORG
cana-5226	7	1	1	CARDINAL
cana-5226	9	1	g	PERSON
cana-5226	10	1	x(g	PERSON
cana-5226	10	2	1	CARDINAL
cana-5226	10	3	zero	CARDINAL
cana-5226	11	1	x(g	GPE
cana-5226	12	1	brooks	ORG
cana-5226	12	2	x(g	PERSON
cana-5226	12	3	− x(g	PERSON
cana-5226	14	1	− x(g	PERSON
cana-5226	15	1	x(g	PERSON
cana-5226	16	1	kumar et	PERSON
cana-5226	17	1	al	PERSON
cana-5226	18	1	− x(g	PERSON
cana-5226	19	1	0 i.e. δ(g	DATE
cana-5226	19	2	0	CARDINAL
cana-5226	19	3	x(g	PERSON
cana-5226	19	4	zero	CARDINAL
cana-5226	22	1	𝑛−2 − 𝑆3,𝑛𝜆 𝑛−3+	PRODUCT
cana-5226	24	1	1074	CARDINAL
cana-5226	24	2	32	CARDINAL
cana-5226	25	1	2025	CARDINAL
cana-5226	25	2	1218	DATE
cana-5226	25	3	𝑆𝑘,𝑛	PERSON
cana-5226	37	1	λₙ.	GPE
cana-5226	38	1	=∣ 𝜆1 ∣ +∣ 𝜆2 ∣ +.	PERCENT
cana-5226	39	1	+∣ 𝜆𝑛 ∣	MONEY
cana-5226	39	2	estrada & benzi	ORG
cana-5226	43	1	al	PERSON
cana-5226	46	1	non-bipartite	NORP
cana-5226	46	2	three	CARDINAL
cana-5226	46	3	one	CARDINAL
cana-5226	47	1	three	CARDINAL
cana-5226	47	2	one	CARDINAL
cana-5226	47	3	second	ORDINAL
cana-5226	47	4	cheng	PERSON
cana-5226	47	5	al	PERSON
cana-5226	48	1	four	CARDINAL
cana-5226	48	2	huang & huang	ORG
cana-5226	48	3	li et al.	PERSON
cana-5226	49	1	2.	CARDINAL
cana-5226	49	2	n vertices v1	LOC
cana-5226	49	3	x(cn	ORG
cana-5226	49	4	x(cn	PERSON
cana-5226	49	5	1	CARDINAL
cana-5226	49	6	1	CARDINAL
cana-5226	49	7	0	CARDINAL
cana-5226	49	8	0	CARDINAL
cana-5226	50	1	1	CARDINAL
cana-5226	50	2	1	CARDINAL
cana-5226	50	3	1074	CARDINAL
cana-5226	50	4	32	CARDINAL
cana-5226	51	1	2025	CARDINAL
cana-5226	51	2	1219	CARDINAL
cana-5226	52	1	𝑋(𝐶𝑛	GPE
cana-5226	54	1	−1	DATE
cana-5226	54	2	−1	DATE
cana-5226	54	3	−1	DATE
cana-5226	56	1	𝑛−2 − 𝑆3,𝑛𝜆 𝑛−3 +⋯+	PRODUCT
cana-5226	57	1	𝑋(𝐶𝑛	GPE
cana-5226	58	1	0⁡⁡	CARDINAL
cana-5226	59	1	𝑛−2 − 𝑆3,𝑛𝜆 𝑛−3 +⋯+	PRODUCT
cana-5226	59	2	0	CARDINAL
cana-5226	59	3	𝑆𝑘,𝑛	PERSON
cana-5226	62	1	four	CARDINAL
cana-5226	63	1	n ≡ 0(mod⁡4	ORG
cana-5226	63	2	2	CARDINAL
cana-5226	63	3	𝑆𝑘,𝑛 =	PERSON
cana-5226	63	4	(−1)𝑘 2⁄	CARDINAL
cana-5226	63	5	⁡	ORG
cana-5226	64	1	4	CARDINAL
cana-5226	65	1	0	CARDINAL
cana-5226	65	2	0	CARDINAL
cana-5226	65	3	0	CARDINAL
cana-5226	65	4	0	CARDINAL
cana-5226	66	1	𝑆1,4𝜆	GPE
cana-5226	66	2	3 + 𝑆2,4𝜆 2	CARDINAL
cana-5226	66	3	4𝜆2	CARDINAL
cana-5226	67	1	0	CARDINAL
cana-5226	67	2	0⁡𝑎𝑛𝑑⁡𝑆4,4	CARDINAL
cana-5226	68	1	0	CARDINAL
cana-5226	68	2	0	DATE
cana-5226	68	3	−2⁡𝑎𝑛𝑑⁡2 case ii	TIME
cana-5226	68	4	1(mod⁡4	DATE
cana-5226	68	5	1074	CARDINAL
cana-5226	68	6	32	CARDINAL
cana-5226	69	1	2025	CARDINAL
cana-5226	69	2	1220	CARDINAL
cana-5226	70	1	0,⁡⁡⁡⁡⁡⁡⁡k⁡is⁡odd⁡and⁡k ≠ n	PERSON
cana-5226	70	2	2 2,⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡k	CARDINAL
cana-5226	71	1	2⁄	CARDINAL
cana-5226	71	2	⁡	ORG
cana-5226	72	1	5	CARDINAL
cana-5226	72	2	𝐶5	ORG
cana-5226	73	1	0 1	CARDINAL
cana-5226	73	2	1	CARDINAL
cana-5226	73	3	0	CARDINAL
cana-5226	73	4	0	CARDINAL
cana-5226	73	5	1	CARDINAL
cana-5226	73	6	1	CARDINAL
cana-5226	73	7	1	CARDINAL
cana-5226	74	1	− 𝑋(𝐶5	PERSON
cana-5226	76	1	0	CARDINAL
cana-5226	77	1	2	CARDINAL
cana-5226	77	2	0	CARDINAL
cana-5226	77	3	0	CARDINAL
cana-5226	77	4	0	CARDINAL
cana-5226	77	5	𝑆4,5	CARDINAL
cana-5226	77	6	5⁡𝑎𝑛𝑑⁡𝑆5,5	CARDINAL
cana-5226	77	7	2	CARDINAL
cana-5226	77	8	−1.6180,−1.6180	ORDINAL
cana-5226	77	9	0.6180	GPE
cana-5226	77	10	0.6180	ORG
cana-5226	77	11	2	CARDINAL
cana-5226	77	12	2(mod 4)n	ORG
cana-5226	77	13		FAC
cana-5226	77	14	𝑛 ≠ 2	PERSON
cana-5226	77	15	0	CARDINAL
cana-5226	77	16	≠ 𝑛 −𝑛,⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡𝑘	PERSON
cana-5226	77	17	𝑆𝑘,𝑛	PERSON
cana-5226	77	18	(−1)𝑘 2⁄	CARDINAL
cana-5226	77	19	⁡	ORG
cana-5226	79	1	𝐶6	CARDINAL
cana-5226	79	2	6	CARDINAL
cana-5226	79	3	𝐶6	CARDINAL
cana-5226	79	4	0 1	CARDINAL
cana-5226	79	5	0	CARDINAL
cana-5226	79	6	1	CARDINAL
cana-5226	79	7	0	CARDINAL
cana-5226	79	8	1	CARDINAL
cana-5226	79	9	1	CARDINAL
cana-5226	79	10	1	CARDINAL
cana-5226	79	11	1	CARDINAL
cana-5226	79	12	0	CARDINAL
cana-5226	80	1	0	CARDINAL
cana-5226	80	2	1074	CARDINAL
cana-5226	80	3	32	CARDINAL
cana-5226	81	1	2025	CARDINAL
cana-5226	81	2	1221	CARDINAL
cana-5226	81	3	5	CARDINAL
cana-5226	81	4	4	CARDINAL
cana-5226	81	5	3 +	CARDINAL
cana-5226	81	6	2	CARDINAL
cana-5226	82	1	6λ4	CARDINAL
cana-5226	82	2	4	CARDINAL
cana-5226	82	3	0	CARDINAL
cana-5226	82	4	s1,6	ORG
cana-5226	82	5	9	CARDINAL
cana-5226	82	6	0⁡and⁡s6,6	CARDINAL
cana-5226	82	7	1	CARDINAL
cana-5226	82	8	1	CARDINAL
cana-5226	82	9	2	CARDINAL
cana-5226	82	10	n ≡	ORG
cana-5226	83	1	𝑆𝑘,𝑛	PRODUCT
cana-5226	83	2	0	CARDINAL
cana-5226	83	3	2 2,⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡𝑘	CARDINAL
cana-5226	83	4	(−1)𝑘 2⁄	CARDINAL
cana-5226	83	5	⁡	ORG
cana-5226	84	1	7	CARDINAL
cana-5226	84	2	c7	ORG
cana-5226	84	3	x(c7	GPE
cana-5226	84	4	0 1	CARDINAL
cana-5226	84	5	0	CARDINAL
cana-5226	84	6	1	CARDINAL
cana-5226	84	7	1	CARDINAL
cana-5226	84	8	1	CARDINAL
cana-5226	84	9	1	CARDINAL
cana-5226	84	10	1	CARDINAL
cana-5226	84	11	1	CARDINAL
cana-5226	84	12	1	CARDINAL
cana-5226	84	13	0	CARDINAL
cana-5226	85	1	− 𝑋(𝐶7	PERSON
cana-5226	86	1	0 ⇒	PERCENT
cana-5226	86	2	5	CARDINAL
cana-5226	86	3	𝑆3,7𝜆	ORG
cana-5226	86	4	4	CARDINAL
cana-5226	86	5	3	CARDINAL
cana-5226	86	6	2 + 𝑆6,7𝜆	QUANTITY
cana-5226	90	1	7𝜆	CARDINAL
cana-5226	90	2	2	CARDINAL
cana-5226	90	3	0	CARDINAL
cana-5226	90	4	𝑆1,7	CARDINAL
cana-5226	90	5	0	CARDINAL
cana-5226	90	6	0	CARDINAL
cana-5226	90	7	𝑆4,7	CARDINAL
cana-5226	90	8	14	CARDINAL
cana-5226	90	9	𝑆5,7	CARDINAL
cana-5226	90	10	0	CARDINAL
cana-5226	90	11	𝑆6,7	PRODUCT
cana-5226	90	12	2 ⇒	CARDINAL
cana-5226	90	13	−0.4450,−0.4450	GPE
cana-5226	90	14	1.2470	CARDINAL
cana-5226	90	15	1.2470	CARDINAL
cana-5226	90	16	2	CARDINAL
cana-5226	90	17	𝑺𝒌,𝒏⁡of	PRODUCT
cana-5226	90	18	𝑪𝒏 n	FAC
cana-5226	90	19	𝑆5,𝑛	NORP
cana-5226	91	1	3	CARDINAL
cana-5226	91	2	2 4	DATE
cana-5226	92	1	-6	DATE
cana-5226	94	1	20	CARDINAL
cana-5226	94	2	9	CARDINAL
cana-5226	94	3	25	CARDINAL
cana-5226	94	4	1074	CARDINAL
cana-5226	94	5	32	CARDINAL
cana-5226	95	1	2025	CARDINAL
cana-5226	95	2	1222	CARDINAL
cana-5226	95	3	11	CARDINAL
cana-5226	99	1	0	CARDINAL
cana-5226	99	2	0 -14	EVENT
cana-5226	101	1	294	CARDINAL
cana-5226	101	2	15	CARDINAL
cana-5226	102	1	90	CARDINAL
cana-5226	102	2	0	CARDINAL
cana-5226	103	1	450	CARDINAL
cana-5226	103	2	140	CARDINAL
cana-5226	103	3	16	CARDINAL
cana-5226	105	1	0	CARDINAL
cana-5226	106	1	336	CARDINAL
cana-5226	107	1	17	CARDINAL
cana-5226	108	1	119	CARDINAL
cana-5226	110	1	17	CARDINAL
cana-5226	110	2	135	CARDINAL
cana-5226	111	1	1287	ORDINAL
cana-5226	111	2	81	CARDINAL
cana-5226	111	3	152	CARDINAL
cana-5226	112	1	285	CARDINAL
cana-5226	112	2	170	CARDINAL
cana-5226	113	1	825	CARDINAL
cana-5226	113	2	eigen	ORG
cana-5226	113	3	nc	GPE
cana-5226	113	4	3	CARDINAL
cana-5226	113	5	1	CARDINAL
cana-5226	113	6	2	CARDINAL
cana-5226	113	7	0	DATE
cana-5226	113	8	0	DATE
cana-5226	113	9	2	CARDINAL
cana-5226	113	10	0.6180	GPE
cana-5226	113	11	0.6180	GPE
cana-5226	113	12	2	CARDINAL
cana-5226	113	13	-1	ORG
cana-5226	113	14	-1	ORG
cana-5226	113	15	1	CARDINAL
cana-5226	113	16	1	DATE
cana-5226	113	17	2 8 7	DATE
cana-5226	113	18	1.2470	CARDINAL
cana-5226	113	19	1.2470	CARDINAL
cana-5226	113	20	2	CARDINAL
cana-5226	113	21	0	CARDINAL
cana-5226	113	22	0	CARDINAL
cana-5226	113	23	1.4142	CARDINAL
cana-5226	113	24	1.4142	CARDINAL
cana-5226	113	25	2	CARDINAL
cana-5226	113	26	-1	ORG
cana-5226	113	27	-1	ORG
cana-5226	113	28	0.3473	GPE
cana-5226	113	29	0.3473	GPE
cana-5226	113	30	1.5321	GPE
cana-5226	113	31	1.5321	CARDINAL
cana-5226	113	32	2	CARDINAL
cana-5226	113	33	10	CARDINAL
cana-5226	113	34	0.6180	GPE
cana-5226	113	35	0.6180	GPE
cana-5226	113	36	1.6180	GPE
cana-5226	113	37	1.6180	DATE
cana-5226	113	38	2	CARDINAL
cana-5226	113	39	11	CARDINAL
cana-5226	113	40	0.8308	CARDINAL
cana-5226	113	41	0.8308	CARDINAL
cana-5226	113	42	1.6825	CARDINAL
cana-5226	113	43	1.6825	CARDINAL
cana-5226	113	44	2 14.0532	PERCENT
cana-5226	113	45	-1	ORG
cana-5226	113	46	-1	ORG
cana-5226	113	47	0	CARDINAL
cana-5226	113	48	0	CARDINAL
cana-5226	113	49	1	CARDINAL
cana-5226	113	50	1	CARDINAL
cana-5226	113	51	1.732	CARDINAL
cana-5226	113	52	1.732	CARDINAL
cana-5226	113	53	2	CARDINAL
cana-5226	113	54	-1	ORG
cana-5226	113	55	-1	ORG
cana-5226	113	56	0.6180	ORG
cana-5226	113	57	0.6180	ORG
cana-5226	113	58	1.3383	CARDINAL
cana-5226	113	59	1.3383	CARDINAL
cana-5226	113	60	1.8271	ORG
cana-5226	113	61	1.8271	ORG
cana-5226	113	62	2	CARDINAL
cana-5226	113	63	16	CARDINAL
cana-5226	113	64	0	CARDINAL
cana-5226	113	65	0	DATE
cana-5226	113	66	0.7654	ORG
cana-5226	113	67	0.7654	ORG
cana-5226	113	68	1.4142	CARDINAL
cana-5226	113	69	1.4142	CARDINAL
cana-5226	113	70	1.8478	CARDINAL
cana-5226	113	71	1.8478	CARDINAL
cana-5226	113	72	2 20.1096	CARDINAL
cana-5226	116	1	first	ORDINAL
cana-5226	116	2	three	CARDINAL
cana-5226	116	3	first	ORDINAL
cana-5226	116	4	two	CARDINAL
cana-5226	117	1	first	ORDINAL
cana-5226	117	2	four	CARDINAL
cana-5226	117	3	first	ORDINAL
cana-5226	118	1	1074	CARDINAL
cana-5226	118	2	32	CARDINAL
cana-5226	119	1	2025	CARDINAL
cana-5226	119	2	1223	CARDINAL
cana-5226	119	3	1	CARDINAL
cana-5226	119	4	2006	DATE
cana-5226	121	1	511	CARDINAL
cana-5226	122	1	2	CARDINAL
cana-5226	122	2	s.	PERSON
cana-5226	122	3	2024	CARDINAL
cana-5226	124	1	4127-4136	DATE
cana-5226	125	1	3	CARDINAL
cana-5226	125	2	a. e. brouwer	PERSON
cana-5226	125	3	w. h. haemers	PERSON
cana-5226	125	4	new york	GPE
cana-5226	125	5	ny, usa	ORG
cana-5226	125	6	2012	DATE
cana-5226	125	7	4	CARDINAL
cana-5226	125	8	e., & benzi	ORG
cana-5226	125	9	2017	CARDINAL
cana-5226	127	1	230	CARDINAL
cana-5226	127	2	71	CARDINAL
cana-5226	128	1	5	CARDINAL
cana-5226	128	2	stin	PERSON
cana-5226	128	3	r.	NORP
cana-5226	128	4	aminah	PERSON
cana-5226	128	5	s.	GPE
cana-5226	128	6	utama, s., & silaban	ORG
cana-5226	128	7	d. r.	NORP
cana-5226	128	8	2020, june	DATE
cana-5226	130	1	aip	ORG
cana-5226	130	2	2242	CARDINAL
cana-5226	130	3	1	CARDINAL
cana-5226	131	1	aip	ORG
cana-5226	132	1	6	CARDINAL
cana-5226	132	2	2016	CARDINAL
cana-5226	133	1	three	CARDINAL
cana-5226	134	1	507	CARDINAL
cana-5226	134	2	462	CARDINAL
cana-5226	135	1	7	CARDINAL
cana-5226	135	2	x. m.	PERSON
cana-5226	135	3	g. r.	PERSON
cana-5226	135	4	j. h. (	PERSON
cana-5226	135	5	2018	DATE
cana-5226	136	1	three	CARDINAL
cana-5226	136	2	second	ORDINAL
cana-5226	136	3	1	CARDINAL
cana-5226	136	4	129	CARDINAL
cana-5226	136	5	55	CARDINAL
cana-5226	137	1	8	CARDINAL
cana-5226	137	2	l.	PERSON
cana-5226	137	3	zhao	PERSON
cana-5226	137	4	w., & liu	PERSON
cana-5226	137	5	2020	DATE
cana-5226	139	1	2020	DATE
cana-5226	139	2	1	CARDINAL
cana-5226	140	1	9	CARDINAL
cana-5226	140	2	huang	PERSON
cana-5226	140	3	x.	GPE
cana-5226	140	4	q.	PERSON
cana-5226	140	5	2017	CARDINAL
cana-5226	141	1	four	CARDINAL
cana-5226	142	1	512	CARDINAL
cana-5226	142	2	219	CARDINAL
cana-5226	143	1	10	CARDINAL
cana-5226	143	2	x.	GPE
cana-5226	143	3	i.	PERSON
cana-5226	143	4	2012	DATE
cana-5226	145	1	springer science & business media	ORG