id	sid	eid	entity	type
cana-4517	1	1	1074	CARDINAL
cana-4517	1	2	32	CARDINAL
cana-4517	2	1	9s	CARDINAL
cana-4517	2	2	2025	CARDINAL
cana-4517	2	3	2315	CARDINAL
cana-4517	2	4	purushothama s3 1research	ORG
cana-4517	2	5	university of mysore	ORG
cana-4517	2	6	2	CARDINAL
cana-4517	2	7	university of mysore	ORG
cana-4517	2	8	3associate	CARDINAL
cana-4517	3	1	psmandya@gmail.com	ORG
cana-4517	4	1	12-01-2025	CARDINAL
cana-4517	4	2	15-02-2025	CARDINAL
cana-4517	4	3	01-03-2025	CARDINAL
cana-4517	9	1	1	CARDINAL
cana-4517	12	1	i. gutman	PERSON
cana-4517	13	1	9	CARDINAL
cana-4517	13	2	1978	DATE
cana-4517	14	1	i. gutman	PERSON
cana-4517	14	2	balakrishnan	PERSON
cana-4517	15	1	2	CARDINAL
cana-4517	15	2	10	CARDINAL
cana-4517	16	1	12,13	CARDINAL
cana-4517	17	1	3-6	CARDINAL
cana-4517	18	1	11	CARDINAL
cana-4517	19	1	⊆	CARDINAL
cana-4517	20	1	one	CARDINAL
cana-4517	20	2	13	CARDINAL
cana-4517	21	1	two	CARDINAL
cana-4517	22	1	1	CARDINAL
cana-4517	23	1	one	CARDINAL
cana-4517	23	2	2	CARDINAL
cana-4517	24	1	prd	ORG
cana-4517	25	1	𝔓-spectrum	PERSON
cana-4517	25	2	𝔓𝔈	CARDINAL
cana-4517	25	3	1.1	CARDINAL
cana-4517	26	1	14	CARDINAL
cana-4517	26	2	2	CARDINAL
cana-4517	28	1	2	CARDINAL
cana-4517	28	2	2.1	CARDINAL
cana-4517	29	1	⊆	CARDINAL
cana-4517	29	2	v(g	WORK_OF_ART
cana-4517	30	1	𝔓a	ORG
cana-4517	30	2	𝔓a	ORG
cana-4517	30	3	1	CARDINAL
cana-4517	30	4	vi ∈	PERSON
cana-4517	30	5	0	CARDINAL
cana-4517	30	6	mailto:mpremamallaiah@gmail.com mailto:ruby.salestina@gmail.com mailto:psmandya@gmail.com	ORG
cana-4517	30	7	1074	CARDINAL
cana-4517	30	8	32	CARDINAL
cana-4517	31	1	9s	CARDINAL
cana-4517	31	2	2316	DATE
cana-4517	32	1	det	PERSON
cana-4517	32	2	𝔓a −	ORG
cana-4517	33	1	𝔓-spectrum	PERSON
cana-4517	34	1	𝔓a	GPE
cana-4517	35	1	𝔓𝔈	CARDINAL
cana-4517	37	1	𝔓a	ORG
cana-4517	38	1	1 ≤	QUANTITY
cana-4517	40	1	2.2	CARDINAL
cana-4517	42	1	2.3	CARDINAL
cana-4517	43	1	3	CARDINAL
cana-4517	43	2	3.1	CARDINAL
cana-4517	43	3	kp	ORG
cana-4517	43	4	3	CARDINAL
cana-4517	45	1	2	CARDINAL
cana-4517	46	1	2	CARDINAL
cana-4517	51	1	1	CARDINAL
cana-4517	51	2	1	CARDINAL
cana-4517	52	1	det	PERSON
cana-4517	54	1	1)λ	CARDINAL
cana-4517	54	2	1	CARDINAL
cana-4517	54	3	speca(kp	ORG
cana-4517	54	4	−1	CARDINAL
cana-4517	54	5	2	CARDINAL
cana-4517	54	6	2	CARDINAL
cana-4517	55	1	2	CARDINAL
cana-4517	55	2	𝔓𝔈a(kp	GPE
cana-4517	57	1	2)|−1|	CARDINAL
cana-4517	58	1	2	CARDINAL
cana-4517	60	1	2	CARDINAL
cana-4517	62	1	2 +	DATE
cana-4517	63	1	2	CARDINAL
cana-4517	64	1	2	CARDINAL
cana-4517	64	2	kp	ORG
cana-4517	64	3	2	CARDINAL
cana-4517	64	4	𝔓𝔈a(kp	GPE
cana-4517	65	1	1)2 + 3+ √(p	DATE
cana-4517	65	2	4	CARDINAL
cana-4517	65	3	2(1 + √pq	QUANTITY
cana-4517	71	1	1	CARDINAL
cana-4517	72	1	1074	CARDINAL
cana-4517	72	2	32	CARDINAL
cana-4517	73	1	9s	CARDINAL
cana-4517	73	2	2025	CARDINAL
cana-4517	73	3	2317	CARDINAL
cana-4517	73	4	1	CARDINAL
cana-4517	73	5	jp	ORG
cana-4517	73	6	1	CARDINAL
cana-4517	74	1	lemma 1.1	ORG
cana-4517	74	2	speca(kp	ORG
cana-4517	75	1	2	CARDINAL
cana-4517	77	1	1	CARDINAL
cana-4517	77	2	0	CARDINAL
cana-4517	78	1	+ 1	DATE
cana-4517	79	1	+ 1	DATE
cana-4517	80	1	2	CARDINAL
cana-4517	80	2	−j1×p−1	FAC
cana-4517	81	1	−1	DATE
cana-4517	82	1	1)λ	CARDINAL
cana-4517	83	1	1	CARDINAL
cana-4517	83	2	0	CARDINAL
cana-4517	83	3	1	CARDINAL
cana-4517	84	1	4 2	CARDINAL
cana-4517	84	2	1	CARDINAL
cana-4517	84	3	4 2	CARDINAL
cana-4517	84	4	2	CARDINAL
cana-4517	84	5	speca(kp	ORG
cana-4517	84	6	0	CARDINAL
cana-4517	84	7	+ 1	DATE
cana-4517	85	1	+ 1	DATE
cana-4517	86	1	2 2p	CARDINAL
cana-4517	86	2	4 1 1	DATE
cana-4517	86	3	4 2	CARDINAL
cana-4517	86	4	1	CARDINAL
cana-4517	86	5	4	CARDINAL
cana-4517	86	6	𝔓𝔈a(kp	GPE
cana-4517	87	1	+ 1	DATE
cana-4517	90	1	+ 1	DATE
cana-4517	94	1	4 2	DATE
cana-4517	97	1	4 2	DATE
cana-4517	97	2	𝔓𝔈a(kp	GPE
cana-4517	98	1	2√(p	CARDINAL
cana-4517	98	2	− 1)2	PERSON
cana-4517	98	3	4 2 𝔓𝔈a(kp	DATE
cana-4517	99	1	1)2 + 3 +√(p	DATE
cana-4517	99	2	− 4 ii	PERSON
cana-4517	100	1	1	CARDINAL
cana-4517	100	2	1	CARDINAL
cana-4517	100	3	1	CARDINAL
cana-4517	101	1	1074	CARDINAL
cana-4517	101	2	32	CARDINAL
cana-4517	102	1	9s	CARDINAL
cana-4517	102	2	2318	CARDINAL
cana-4517	102	3	φ(kp	EVENT
cana-4517	105	1	2pq	ORDINAL
cana-4517	108	1	1)[λ3	CARDINAL
cana-4517	109	1	≈	CARDINAL
cana-4517	109	2	− pq	PERSON
cana-4517	111	1	1	CARDINAL
cana-4517	111	2	1	CARDINAL
cana-4517	111	3	1	CARDINAL
cana-4517	112	1	φ(kp	EVENT
cana-4517	115	1	2pq	ORDINAL
cana-4517	117	1	≈	CARDINAL
cana-4517	117	2	− pq	PERSON
cana-4517	118	1	speca(kp	ORG
cana-4517	118	2	0 1 √pq	MONEY
cana-4517	118	3	4	CARDINAL
cana-4517	118	4	2(1 + √pq	QUANTITY
cana-4517	118	5	3.3	CARDINAL
cana-4517	118	6	0	CARDINAL
cana-4517	118	7	2	CARDINAL
cana-4517	119	1	2(p	CARDINAL
cana-4517	120	1	2	CARDINAL
cana-4517	120	2	+ 2p	CARDINAL
cana-4517	120	3	3	CARDINAL
cana-4517	124	1	1	CARDINAL
cana-4517	124	2	jp −	ORG
cana-4517	126	1	1	CARDINAL
cana-4517	127	1	lemma 1.1	ORG
cana-4517	128	1	1	CARDINAL
cana-4517	129	1	1)λ	CARDINAL
cana-4517	129	2	1	CARDINAL
cana-4517	129	3	−1	CARDINAL
cana-4517	129	4	1	CARDINAL
cana-4517	130	1	2	CARDINAL
cana-4517	130	2	−j1×p−1	ORG
cana-4517	130	3	−(jp−1 − ip−1	ORG
cana-4517	131	1	3)λ	CARDINAL
cana-4517	131	2	2p	CARDINAL
cana-4517	131	3	3	CARDINAL
cana-4517	132	1	1074	CARDINAL
cana-4517	132	2	32	CARDINAL
cana-4517	133	1	9s	CARDINAL
cana-4517	133	2	2025	DATE
cana-4517	133	3	2319	CARDINAL
cana-4517	133	4	1	CARDINAL
cana-4517	133	5	3	CARDINAL
cana-4517	134	1	+ 2p	CARDINAL
cana-4517	134	2	3 2	DATE
cana-4517	134	3	3	CARDINAL
cana-4517	135	1	+ 2p	CARDINAL
cana-4517	135	2	3 2	CARDINAL
cana-4517	135	3	2	CARDINAL
cana-4517	135	4	−1 1	DATE
cana-4517	135	5	1	CARDINAL
cana-4517	136	1	2	CARDINAL
cana-4517	136	2	2 1 1	DATE
cana-4517	136	3	3	CARDINAL
cana-4517	136	4	+ 2p	CARDINAL
cana-4517	136	5	3 2	DATE
cana-4517	136	6	3	CARDINAL
cana-4517	137	1	+ 2p	CARDINAL
cana-4517	137	2	3	CARDINAL
cana-4517	138	1	2)|−1| +	DATE
cana-4517	139	1	1	CARDINAL
cana-4517	145	1	+ 2p	CARDINAL
cana-4517	147	1	3	CARDINAL
cana-4517	148	1	+ 2p	CARDINAL
cana-4517	149	1	2(p	CARDINAL
cana-4517	150	1	2	CARDINAL
cana-4517	150	2	+ 2p	CARDINAL
cana-4517	150	3	3 3.4	CARDINAL
cana-4517	150	4	3	CARDINAL
cana-4517	150	5	𝔓𝔈a(bp	ORG
cana-4517	150	6	3p	CARDINAL
cana-4517	150	7	4	CARDINAL
cana-4517	154	1	prd	ORG
cana-4517	155	1	1	CARDINAL
cana-4517	155	2	1	CARDINAL
cana-4517	155	3	1	CARDINAL
cana-4517	156	1	lemma 1.1	ORG
cana-4517	158	1	2	CARDINAL
cana-4517	158	2	jp−1 − ip−1	ORG
cana-4517	160	1	3	CARDINAL
cana-4517	160	2	−1	DATE
cana-4517	160	3	2	CARDINAL
cana-4517	160	4	0	CARDINAL
cana-4517	162	1	1))(λ + 1)p−1	DATE
cana-4517	163	1	1	CARDINAL
cana-4517	163	2	1074	CARDINAL
cana-4517	163	3	32	CARDINAL
cana-4517	164	1	9s	CARDINAL
cana-4517	164	2	2320	CARDINAL
cana-4517	164	3	−1	DATE
cana-4517	164	4	1	CARDINAL
cana-4517	164	5	2 2p	CARDINAL
cana-4517	164	6	3	CARDINAL
cana-4517	164	7	𝔓𝔈a(bp	ORG
cana-4517	165	1	2p	CARDINAL
cana-4517	165	2	3)|−1|	CARDINAL
cana-4517	169	1	𝔓𝔈a(bp	ORG
cana-4517	169	2	3p	CARDINAL
cana-4517	169	3	4	CARDINAL
cana-4517	169	4	kp	ORG
cana-4517	169	5	4	CARDINAL
cana-4517	170	1	− 1	ORG
cana-4517	170	2	-1	ORG
cana-4517	170	3	0	CARDINAL
cana-4517	170	4	2	CARDINAL
cana-4517	172	1	2p	CARDINAL
cana-4517	172	2	3	CARDINAL
cana-4517	173	1	− e. let v1	PERSON
cana-4517	175	1	5	CARDINAL
cana-4517	177	1	2	CARDINAL
cana-4517	179	1	0 1 1 1	QUANTITY
cana-4517	181	1	1	CARDINAL
cana-4517	183	1	−1	DATE
cana-4517	184	1	+ 1)p−4(λ3	CARDINAL
cana-4517	184	2	3)λ2	DATE
cana-4517	184	3	2p	CARDINAL
cana-4517	184	4	3)λ	CARDINAL
cana-4517	184	5	2	CARDINAL
cana-4517	184	6	≈	CARDINAL
cana-4517	184	7	3)λ2	DATE
cana-4517	184	8	2p	CARDINAL
cana-4517	184	9	3)λ	CARDINAL
cana-4517	184	10	1	CARDINAL
cana-4517	185	1	≈	CARDINAL
cana-4517	186	1	1	CARDINAL
cana-4517	187	1	1	CARDINAL
cana-4517	187	2	2 1	DATE
cana-4517	187	3	1| +	DATE
cana-4517	187	4	2)|−1|	CARDINAL
cana-4517	189	1	2p	CARDINAL
cana-4517	189	2	3 4	DATE
cana-4517	190	1	4.1	CARDINAL
cana-4517	190	2	4	CARDINAL
cana-4517	192	1	3	CARDINAL
cana-4517	194	1	≅ kp−1	ORG
cana-4517	197	1	≅	CARDINAL
cana-4517	199	1	3	CARDINAL
cana-4517	201	1	3	CARDINAL
cana-4517	201	2	3	CARDINAL
cana-4517	201	3	𝔓𝔈(l(sp	CARDINAL
cana-4517	202	1	4p	CARDINAL
cana-4517	202	2	5	CARDINAL
cana-4517	206	1	two	CARDINAL
cana-4517	207	1	l(sp	ORG
cana-4517	208	1	𝔓a(l(sp	NORP
cana-4517	209	1	1	CARDINAL
cana-4517	209	2	jp−1 − ip−1 op−1	ORG
cana-4517	209	3	jp−1 − ip−1	ORG
cana-4517	209	4	1074	CARDINAL
cana-4517	209	5	32	CARDINAL
cana-4517	211	1	9s	CARDINAL
cana-4517	211	2	2025	DATE
cana-4517	211	3	2321	CARDINAL
cana-4517	211	4	j	PERSON
cana-4517	212	1	1	CARDINAL
cana-4517	213	1	|𝔓a(l(sp	ORG
cana-4517	215	1	2p−3(λ	CARDINAL
cana-4517	216	1	2	CARDINAL
cana-4517	216	2	speca(l(sp	ORG
cana-4517	217	1	1 2	CARDINAL
cana-4517	217	2	2p	CARDINAL
cana-4517	217	3	𝔓𝔈(l(sp	CARDINAL
cana-4517	218	1	2p	CARDINAL
cana-4517	218	2	3)|−1| +	DATE
cana-4517	219	1	4p	CARDINAL
cana-4517	219	2	5 5	DATE
cana-4517	220	1	5.1	CARDINAL
cana-4517	220	2	graph g.	PERSON
cana-4517	220	3	𝔓-spectrum	PERSON
cana-4517	221	1	i=1 =	PERSON
cana-4517	221	2	∑	PERSON
cana-4517	221	3	2p	CARDINAL
cana-4517	221	4	2q	CARDINAL
cana-4517	223	1	∑𝔭ii	TIME
cana-4517	223	2	2	CARDINAL
cana-4517	223	3	2	CARDINAL
cana-4517	226	1	2	CARDINAL
cana-4517	227	1	2	CARDINAL
cana-4517	228	1	+ 2∑(𝔭ij	PERCENT
cana-4517	228	2	2	CARDINAL
cana-4517	229	1	2p	CARDINAL
cana-4517	230	1	2q	CARDINAL
cana-4517	231	1	6	CARDINAL
cana-4517	231	2	6.1	CARDINAL
cana-4517	234	1	1)∆	CARDINAL
cana-4517	234	2	2	CARDINAL
cana-4517	235	1	schwarz	DATE
cana-4517	236	1	∑aibi	CARDINAL
cana-4517	236	2	2 ≤	MONEY
cana-4517	236	3	2	CARDINAL
cana-4517	236	4	2	CARDINAL
cana-4517	236	5	1	CARDINAL
cana-4517	236	6	2 ≤	MONEY
cana-4517	237	1	2	CARDINAL
cana-4517	237	2	2 ≤	MONEY
cana-4517	237	3	2	CARDINAL
cana-4517	237	4	1074	CARDINAL
cana-4517	237	5	32	CARDINAL
cana-4517	239	1	9s	CARDINAL
cana-4517	239	2	2322	CARDINAL
cana-4517	240	1	2q +	DATE
cana-4517	240	2	2	CARDINAL
cana-4517	240	3	∑	ORG
cana-4517	240	4	2p	CARDINAL
cana-4517	241	1	2 p	PERCENT
cana-4517	242	1	2	CARDINAL
cana-4517	242	2	2q + 𝔭	DATE
cana-4517	243	1	2p	CARDINAL
cana-4517	244	1	1	CARDINAL
cana-4517	244	2	1	CARDINAL
cana-4517	246	1	1	CARDINAL
cana-4517	247	1	2	CARDINAL
cana-4517	250	1	2	CARDINAL
cana-4517	251	1	2	CARDINAL
cana-4517	251	2	2	CARDINAL
cana-4517	251	3	1	CARDINAL
cana-4517	251	4	2	CARDINAL
cana-4517	251	5	⇒∑|λi||λj|	PERSON
cana-4517	251	6	2	CARDINAL
cana-4517	252	1	2	CARDINAL
cana-4517	252	2	2q + 𝔭	DATE
cana-4517	252	3	1	CARDINAL
cana-4517	252	4	2	CARDINAL
cana-4517	252	5	1	CARDINAL
cana-4517	252	6	2	CARDINAL
cana-4517	252	7	……	PRODUCT
cana-4517	253	1	1)∆	CARDINAL
cana-4517	254	1	6.2	CARDINAL
cana-4517	256	1	schwarz	DATE
cana-4517	256	2	∑aibi	CARDINAL
cana-4517	256	3	2 ≤	MONEY
cana-4517	256	4	2	CARDINAL
cana-4517	256	5	2	CARDINAL
cana-4517	256	6	1	CARDINAL
cana-4517	256	7	2 ≤	MONEY
cana-4517	257	1	2 p	PERCENT
cana-4517	257	2	𝔓𝔈(g)]2 ≤ p∑λi 2	MONEY
cana-4517	257	3	1074	CARDINAL
cana-4517	257	4	32	CARDINAL
cana-4517	259	1	9s	CARDINAL
cana-4517	259	2	2323	CARDINAL
cana-4517	261	1	2	CARDINAL
cana-4517	261	2	∑	ORG
cana-4517	261	3	2	CARDINAL
cana-4517	263	1	7	CARDINAL
cana-4517	264	1	1	CARDINAL
cana-4517	265	1	2	CARDINAL
cana-4517	266	1	3	CARDINAL
cana-4517	268	1	1	CARDINAL
cana-4517	268	2	s. s.	PERSON
cana-4517	268	3	m. n.	PERSON
cana-4517	268	4	2022	CARDINAL
cana-4517	270	1	13(2	CARDINAL
cana-4517	270	2	1833-1839	DATE
cana-4517	271	1	2	CARDINAL
cana-4517	271	2	balakrishnan	GPE
cana-4517	271	3	2004	DATE
cana-4517	273	1	387	CARDINAL
cana-4517	273	2	287	CARDINAL
cana-4517	274	1	3	CARDINAL
cana-4517	274	2	1950	DATE
cana-4517	275	1	entre des intégrales	ORG
cana-4517	276	1	ann	PERSON
cana-4517	276	2	univ	ORG
cana-4517	277	1	mariae curie-sklodowska	PERSON
cana-4517	277	2	4	CARDINAL
cana-4517	277	3	14	DATE
cana-4517	278	1	4	CARDINAL
cana-4517	278	2	d. m.	PERSON
cana-4517	278	3	i. (	PERSON
cana-4517	278	4	2011	DATE
cana-4517	280	1	beograd	ORG
cana-4517	280	2	matematicki institut sanu	PERSON
cana-4517	281	1	5	CARDINAL
cana-4517	281	2	d.	NORP
cana-4517	281	3	i.	PERSON
cana-4517	281	4	2009	DATE
cana-4517	282	1	belgrade	GPE
cana-4517	283	1	6	CARDINAL
cana-4517	283	2	j. b.	PERSON
cana-4517	283	3	f. t.	PERSON
cana-4517	283	4	1963	DATE
cana-4517	284	1	lv kantorovich	PERSON
cana-4517	285	1	american	NORP
cana-4517	285	2	69(3	CARDINAL
cana-4517	285	3	415	CARDINAL
cana-4517	286	1	7	CARDINAL
cana-4517	286	2	i.	PERSON
cana-4517	286	3	1978	DATE
cana-4517	288	1	math.-stat	ORG
cana-4517	289	1	forschungszent	PERSON
cana-4517	290	1	graz 103	ORG
cana-4517	290	2	1–22	CARDINAL
cana-4517	291	1	8	CARDINAL
cana-4517	291	2	i.	PERSON
cana-4517	291	3	2001	DATE
cana-4517	293	1	algebraic combinatorics	ORG
cana-4517	293	2	algebraic combinatorics	PERSON
cana-4517	293	3	germany	GPE
cana-4517	293	4	september 12–19, 1999	DATE
cana-4517	293	5	196-211	CARDINAL
cana-4517	294	1	berlin	GPE
cana-4517	294	2	heidelberg	GPE
cana-4517	294	3	springer berlin heidelberg	PERSON
cana-4517	295	1	9	CARDINAL
cana-4517	295	2	f.	PERSON
cana-4517	295	3	1990	DATE
cana-4517	297	1	new york	GPE
cana-4517	297	2	addison	PERSON
cana-4517	297	3	wesley	PERSON
cana-4517	298	1	10	CARDINAL
cana-4517	298	2	d.	NORP
cana-4517	298	3	wijayanti	NORP
cana-4517	298	4	i. e., & sugeng	PERSON
cana-4517	298	5	k. a.	PERSON
cana-4517	298	6	2015	CARDINAL
cana-4517	300	1	procedia computer science	ORG
cana-4517	300	2	74	DATE
cana-4517	300	3	118	CARDINAL
cana-4517	301	1	11	CARDINAL
cana-4517	301	2	livingston	GPE
cana-4517	301	3	m., & stout	ORG
cana-4517	301	4	q. f. (	PERSON
cana-4517	301	5	1990	DATE
cana-4517	303	1	university of michigan	ORG
cana-4517	304	1	12	CARDINAL
cana-4517	304	2	kumari	PERSON
cana-4517	304	3	m. l.	PERSON
cana-4517	304	4	g.	PERSON
cana-4517	304	5	2022	CARDINAL
cana-4517	305	1	geo	ORG
cana-4517	305	2	geo	ORG
cana-4517	305	3	aams	ORG
cana-4517	306	1	13	CARDINAL
cana-4517	306	2	h. s.	PERSON
cana-4517	306	3	revankar	PERSON
cana-4517	306	4	d. s.	PERSON
cana-4517	306	5	i.	PERSON
cana-4517	306	6	rao	PERSON
cana-4517	306	7	s. b.	PERSON
cana-4517	306	8	acharya	PERSON
cana-4517	306	9	b. d.	PERSON
cana-4517	306	10	h. b.	PERSON
cana-4517	306	11	2008	DATE
cana-4517	308	1	kragujevac journal of mathematics	ORG
cana-4517	308	2	59	CARDINAL
cana-4517	309	1	14	CARDINAL
cana-4517	309	2	r. j.	PERSON
cana-4517	309	3	1994	DATE
cana-4517	311	1	cambridge university press	ORG
cana-4517	311	2	cambridge	GPE