id	sid	eid	entity	type
cana-5930	1	1	1074	CARDINAL
cana-5930	1	2	32	CARDINAL
cana-5930	2	1	2025	CARDINAL
cana-5930	2	2	3103	DATE
cana-5930	3	1	s. jayalakshmi1	PERSON
cana-5930	4	1	madurai kamaraj university	ORG
cana-5930	4	2	625021	DATE
cana-5930	4	3	tamilnadu	NORP
cana-5930	4	4	india e	GPE
cana-5930	4	5	2associate	CARDINAL
cana-5930	4	6	emg yadava	PERSON
cana-5930	4	7	tamilnadu	NORP
cana-5930	4	8	india e	GPE
cana-5930	4	9	p.vidhya-mat@emgywomenscollege.ac.in	PERSON
cana-5930	4	10	02-01-2025	CARDINAL
cana-5930	4	11	25-02-2025	CARDINAL
cana-5930	4	12	20-03-2025	CARDINAL
cana-5930	4	13	⊆	CARDINAL
cana-5930	6	1	v(g	WORK_OF_ART
cana-5930	7	1	two	CARDINAL
cana-5930	7	2	one	CARDINAL
cana-5930	10	1	1	CARDINAL
cana-5930	11	1	two	CARDINAL
cana-5930	12	1	β0(𝐺	GPE
cana-5930	13	1	𝐺2	CARDINAL
cana-5930	13	2	two	CARDINAL
cana-5930	13	3	𝐺2	CARDINAL
cana-5930	13	4	one	CARDINAL
cana-5930	13	5	𝐺1	CARDINAL
cana-5930	13	6	𝐺2	CARDINAL
cana-5930	13	7	𝐺1	CARDINAL
cana-5930	13	8	𝐺2	CARDINAL
cana-5930	14	1	𝐺1	CARDINAL
cana-5930	14	2	𝐺2	CARDINAL
cana-5930	16	1	one	CARDINAL
cana-5930	16	2	one	CARDINAL
cana-5930	17	1	− 𝑚 pendant vertices	ORG
cana-5930	18	1	2	CARDINAL
cana-5930	19	1	5	CARDINAL
cana-5930	20	1	⊆	CARDINAL
cana-5930	22	1	muthammai	PERSON
cana-5930	22	2	m. bhanumathi	PERSON
cana-5930	22	3	p. vidhya	PERSON
cana-5930	23	1	4	CARDINAL
cana-5930	24	1	⊆	CARDINAL
cana-5930	24	2	1074	CARDINAL
cana-5930	24	3	32	CARDINAL
cana-5930	25	1	2025	CARDINAL
cana-5930	25	2	3104	DATE
cana-5930	28	1	γ𝑐𝑡𝑑(𝐺	GPE
cana-5930	29	1	e. sampath kumar	PERSON
cana-5930	29	2	s.b.	PERSON
cana-5930	31	1	b. basavanagoud	GPE
cana-5930	31	2	s.m. hosamani	PERSON
cana-5930	32	1	two	CARDINAL
cana-5930	32	2	one	CARDINAL
cana-5930	34	1	γ𝑐𝑡𝑑(𝐺	GPE
cana-5930	35	1	2	CARDINAL
cana-5930	35	2	2.1	CARDINAL
cana-5930	36	1	6	CARDINAL
cana-5930	37	1	𝑃𝑝	PRODUCT
cana-5930	39	1	𝐶𝑝	GPE
cana-5930	42	1	2	CARDINAL
cana-5930	43	1	2	CARDINAL
cana-5930	44	1	𝑊𝑝	GPE
cana-5930	44	2	4γ	CARDINAL
cana-5930	44	3	𝑊𝑝	GPE
cana-5930	45	1	vi	PERSON
cana-5930	45	2	2	CARDINAL
cana-5930	46	1	2𝑝	CARDINAL
cana-5930	46	2	1	CARDINAL
cana-5930	47	1	2𝑝.	CARDINAL
cana-5930	48	1	3	CARDINAL
cana-5930	48	2	2.2	CARDINAL
cana-5930	49	1	6	CARDINAL
cana-5930	49	2	2	CARDINAL
cana-5930	49	3	one	CARDINAL
cana-5930	49	4	ctd-set of 𝑇2(𝐺	ORG
cana-5930	50	1	2.3	CARDINAL
cana-5930	51	1	6	CARDINAL
cana-5930	51	2	2,⌈	CARDINAL
cana-5930	52	1	2	CARDINAL
cana-5930	52	2	2.4	CARDINAL
cana-5930	53	1	6	CARDINAL
cana-5930	54	1	1	CARDINAL
cana-5930	54	2	𝐺 ≅ 𝐾2	ORG
cana-5930	55	1	1074	CARDINAL
cana-5930	55	2	32	CARDINAL
cana-5930	56	1	2025	CARDINAL
cana-5930	56	2	3105	CARDINAL
cana-5930	56	3	3	CARDINAL
cana-5930	57	1	3.1	CARDINAL
cana-5930	58	1	ctd	ORG
cana-5930	59	1	∈	ORG
cana-5930	59	2	− 𝐷⟩ ≅ 𝐾1	PERSON
cana-5930	62	1	∈	ORG
cana-5930	62	2	𝑣′	DATE
cana-5930	62	3	𝑇2(𝐺	GPE
cana-5930	64	1	∈	ORG
cana-5930	66	1	𝑣′	DATE
cana-5930	67	1	𝐾2	ORG
cana-5930	67	2	− 𝐷	ORG
cana-5930	69	1	− 𝐷⟩ ≅ 𝐾1	PERSON
cana-5930	81	1	3.2	CARDINAL
cana-5930	82	1	2	CARDINAL
cana-5930	82	2	one	CARDINAL
cana-5930	82	3	3	CARDINAL
cana-5930	83	1	3	CARDINAL
cana-5930	85	1	𝐶𝑝	GPE
cana-5930	86	1	1,2	CARDINAL
cana-5930	86	2	𝑡(𝑡	ORG
cana-5930	86	3	2	CARDINAL
cana-5930	88	1	𝐷𝑘	PERSON
cana-5930	88	2	1	CARDINAL
cana-5930	88	3	2	DATE
cana-5930	88	4	⋃ 𝐷𝑘	PERSON
cana-5930	92	1	|𝐷| =	PERSON
cana-5930	93	1	1074	CARDINAL
cana-5930	93	2	32	CARDINAL
cana-5930	94	1	2025	CARDINAL
cana-5930	94	2	3106	CARDINAL
cana-5930	94	3	3.3	CARDINAL
cana-5930	95	1	𝑡(≤	NORP
cana-5930	95	2	3	CARDINAL
cana-5930	100	1	3	CARDINAL
cana-5930	100	2	𝐶𝑝	GPE
cana-5930	101	1	1	CARDINAL
cana-5930	101	2	1	CARDINAL
cana-5930	101	3	2	DATE
cana-5930	101	4	𝑡(≤	NORP
cana-5930	101	5	𝐶𝑝.	GPE
cana-5930	101	6	𝑇2(𝐺	GPE
cana-5930	105	1	3.4	CARDINAL
cana-5930	106	1	one	CARDINAL
cana-5930	106	2	one	CARDINAL
cana-5930	107	1	3.5	CARDINAL
cana-5930	108	1	one	CARDINAL
cana-5930	108	2	𝐶𝑝.	GPE
cana-5930	109	1	2𝑝	CARDINAL
cana-5930	109	2	2	CARDINAL
cana-5930	109	3	3.6	CARDINAL
cana-5930	110	1	one	CARDINAL
cana-5930	110	2	𝐶𝑝 thenγ𝑐𝑡𝑑(𝑇2(𝐺	GPE
cana-5930	111	1	4	CARDINAL
cana-5930	111	2	4.1	CARDINAL
cana-5930	112	1	2	CARDINAL
cana-5930	112	2	𝐺 ≅ 𝐾1,2	ORG
cana-5930	112	3	𝐶3	CARDINAL
cana-5930	114	1	2	CARDINAL
cana-5930	116	1	1	CARDINAL
cana-5930	117	1	3.1	CARDINAL
cana-5930	117	2	𝐺 ≅ 𝐾1,2	ORG
cana-5930	118	1	2	CARDINAL
cana-5930	121	1	𝑇2(𝐺	GPE
cana-5930	124	1	𝐺 ≅ 𝐾1,2	ORG
cana-5930	125	1	3	CARDINAL
cana-5930	126	1	∈	ORG
cana-5930	126	2	∈	PRODUCT
cana-5930	127	1	1074	CARDINAL
cana-5930	127	2	32	CARDINAL
cana-5930	128	1	2025	CARDINAL
cana-5930	128	2	3107	CARDINAL
cana-5930	128	3	3.1	CARDINAL
cana-5930	131	1	𝐺 ≅ 𝐶3	ORG
cana-5930	132	1	3.2	CARDINAL
cana-5930	134	1	𝑣′	WORK_OF_ART
cana-5930	137	1	∈	ORG
cana-5930	138	1	𝐺 ≅ 𝐾1,2	ORG
cana-5930	138	2	𝐶3	CARDINAL
cana-5930	140	1	2	CARDINAL
cana-5930	140	2	4.2	CARDINAL
cana-5930	141	1	2	CARDINAL
cana-5930	141	2	𝐺 ≅ 𝐾2	ORG
cana-5930	144	1	2	CARDINAL
cana-5930	145	1	2	CARDINAL
cana-5930	148	1	∈	ORG
cana-5930	148	2	∈	ORG
cana-5930	148	3	∈	PRODUCT
cana-5930	149	1	∈	ORG
cana-5930	150	1	1	CARDINAL
cana-5930	151	1	∈	ORG
cana-5930	152	1	∈ 𝐷.	PERSON
cana-5930	152	2	𝐺 ≅ 𝐾2	ORG
cana-5930	153	1	2	CARDINAL
cana-5930	153	2	∈	ORG
cana-5930	153	3	∈	PRODUCT
cana-5930	156	1	𝐺 ≅ 𝐾2	ORG
cana-5930	157	1	𝐺 ≅ 𝐾2	ORG
cana-5930	158	1	2	CARDINAL
cana-5930	158	2	4.3	CARDINAL
cana-5930	159	1	𝑝 ≥ 3	DATE
cana-5930	160	1	3	CARDINAL
cana-5930	161	1	𝐺 ≅ 𝑃3	PRODUCT
cana-5930	161	2	4.4	CARDINAL
cana-5930	162	1	4 ≤ 𝑝 ≤ 8	QUANTITY
cana-5930	163	1	2	CARDINAL
cana-5930	164	1	4	CARDINAL
cana-5930	164	2	∈	ORG
cana-5930	166	1	∈	PRODUCT
cana-5930	167	1	𝑢3, 𝑢4	DATE
cana-5930	167	2	𝑝 ≥ 4 and δ(𝐺	DATE
cana-5930	167	3	2	CARDINAL
cana-5930	168	1	one	CARDINAL
cana-5930	170	1	2	CARDINAL
cana-5930	171	1	2	CARDINAL
cana-5930	172	1	2	CARDINAL
cana-5930	172	2	𝐺 ≅ 𝐾8	ORG
cana-5930	173	1	1074	CARDINAL
cana-5930	173	2	32	CARDINAL
cana-5930	174	1	2025	CARDINAL
cana-5930	174	2	3108	DATE
cana-5930	174	3	4.5	CARDINAL
cana-5930	175	1	2	CARDINAL
cana-5930	177	1	+ 1	DATE
cana-5930	178	1	1	CARDINAL
cana-5930	179	1	⊆	CARDINAL
cana-5930	181	1	⋃	DATE
cana-5930	181	2	2	CARDINAL
cana-5930	181	3	𝑑𝑒𝑔(𝑣𝑖	GPE
cana-5930	181	4	2	CARDINAL
cana-5930	181	5	1,2	CARDINAL
cana-5930	181	6	1	CARDINAL
cana-5930	181	7	2	DATE
cana-5930	182	1	one	CARDINAL
cana-5930	185	1	∘ 𝐾1	PERSON
cana-5930	190	1	𝐺 ≅	ORG
cana-5930	192	1	4.6	CARDINAL
cana-5930	193	1	𝑇2(𝐺1(𝑝1	GPE
cana-5930	193	2	𝑇2(𝐺2(𝑝2	ORG
cana-5930	193	3	two	CARDINAL
cana-5930	193	4	two	CARDINAL
cana-5930	195	1	𝑇2(𝐺2	NORP
cana-5930	195	2	γ𝑐𝑡𝑑(𝑇2(𝐺1	GPE
cana-5930	195	3	𝐺2	CARDINAL
cana-5930	197	1	− 𝑡. proof	PERSON
cana-5930	199	1	2	CARDINAL
cana-5930	200	1	𝑉(𝑇2(𝐺1	CARDINAL
cana-5930	200	2	𝐺2	CARDINAL
cana-5930	201	1	𝑉(𝑇2(𝐺1	DATE
cana-5930	201	2	𝐺2	CARDINAL
cana-5930	202	1	2	CARDINAL
cana-5930	202	2	𝑇2(𝐺2	NORP
cana-5930	203	1	𝑇2(𝐺2	NORP
cana-5930	206	1	γ𝑐𝑡𝑑(𝑇2(𝐺1	ORG
cana-5930	206	2	𝐺2	CARDINAL
cana-5930	208	1	2𝑝1𝑝2	CARDINAL
cana-5930	209	1	− 2β0	PERSON
cana-5930	210	1	5	CARDINAL
cana-5930	210	2	5.1	CARDINAL
cana-5930	211	1	2	CARDINAL
cana-5930	212	1	𝐺 ≅ 𝐾1,𝑝−1	PRODUCT
cana-5930	213	1	1074	CARDINAL
cana-5930	213	2	32	CARDINAL
cana-5930	214	1	2025	CARDINAL
cana-5930	214	2	3109	CARDINAL
cana-5930	214	3	5.2	CARDINAL
cana-5930	215	1	2	CARDINAL
cana-5930	215	2	1	CARDINAL
cana-5930	225	1	5.3	CARDINAL
cana-5930	226	1	two	CARDINAL
cana-5930	226	2	2 ≤	QUANTITY
cana-5930	226	3	γ(𝑇2(𝐺	GPE
cana-5930	228	1	+ 1	DATE
cana-5930	232	1	1	CARDINAL
cana-5930	234	1	2	CARDINAL
cana-5930	234	2	one	CARDINAL
cana-5930	234	3	one	CARDINAL
cana-5930	236	1	𝑇2(𝐺	GPE
cana-5930	237	1	2𝑎 + 2𝑏 + 2	MONEY
cana-5930	242	1	5.4	CARDINAL
cana-5930	243	1	γ𝑐𝑡𝑑(𝐺	GPE
cana-5930	243	2	1	CARDINAL
cana-5930	245	1	γ𝑐𝑡𝑑(𝐺	GPE
cana-5930	245	2	1	CARDINAL
cana-5930	245	3	𝐺 ≅	FAC
cana-5930	245	4	two	CARDINAL
cana-5930	248	1	1	CARDINAL
cana-5930	248	2	2	DATE
cana-5930	250	1	1,2	CARDINAL
cana-5930	252	1	⊆	CARDINAL
cana-5930	255	1	1074	CARDINAL
cana-5930	255	2	32	CARDINAL
cana-5930	256	1	2025	CARDINAL
cana-5930	256	2	3110	DATE
cana-5930	256	3	5.5	CARDINAL
cana-5930	257	1	2	CARDINAL
cana-5930	259	1	one	CARDINAL
cana-5930	259	2	𝐾1	CARDINAL
cana-5930	260	1	𝐺2	CARDINAL
cana-5930	260	2	|𝑇|	PRODUCT
cana-5930	260	3	𝐾2	CARDINAL
cana-5930	260	4	2	CARDINAL
cana-5930	260	5	∈	ORG
cana-5930	261	1	𝐺3	ORG
cana-5930	261	2	2𝐾1	CARDINAL
cana-5930	261	3	1	CARDINAL
cana-5930	261	4	∈	ORG
cana-5930	261	5	|𝑉(𝐺)|	ORG
cana-5930	261	6	𝑝. proof	PERSON
cana-5930	262	1	γ𝑐𝑡𝑑(𝐺	GPE
cana-5930	263	1	2	CARDINAL
cana-5930	264	1	𝑇.	NORP
cana-5930	264	2	|𝑇| = |𝑉(𝐺	PERSON
cana-5930	265	1	𝑆1|	CARDINAL
cana-5930	265	2	𝐶3	ORG
cana-5930	267	1	1,2	CARDINAL
cana-5930	267	2	1,2	CARDINAL
cana-5930	267	3	⊆	CARDINAL
cana-5930	268	1	1	CARDINAL
cana-5930	269	1	𝐺 ≅ 𝐺1	PRODUCT
cana-5930	269	2	𝐺2	CARDINAL
cana-5930	270	1	𝑆2	DATE
cana-5930	270	2	𝑇2(𝐺2	NORP
cana-5930	271	1	|𝐷| =	PERSON
cana-5930	272	1	𝐺 ≅ 𝐺1	PRODUCT
cana-5930	272	2	𝐺2	CARDINAL
cana-5930	273	1	2	CARDINAL
cana-5930	275	1	𝐺 ≅ 𝐺3	ORG
cana-5930	276	1	𝑆2	DATE
cana-5930	276	2	𝑇2(𝐺3	PERSON
cana-5930	277	1	|𝐷| =	PERSON
cana-5930	278	1	𝐺 ≅	ORG
cana-5930	279	1	5.6	CARDINAL
cana-5930	287	1	one	CARDINAL
cana-5930	287	2	𝑉′(𝐺	WORK_OF_ART
cana-5930	288	1	− 𝑉′(𝐺	PERSON
cana-5930	291	1	𝐶3	ORG
cana-5930	293	1	5.7	CARDINAL
cana-5930	295	1	2𝑝	CARDINAL
cana-5930	295	2	2	CARDINAL
cana-5930	295	3	𝐺 ≅ 𝐾1,𝑝−1	PRODUCT
cana-5930	296	1	1074	CARDINAL
cana-5930	296	2	32	CARDINAL
cana-5930	297	1	2025	CARDINAL
cana-5930	298	1	𝐺 ≅ 𝐾1,𝑝−1	PRODUCT
cana-5930	299	1	1	CARDINAL
cana-5930	301	1	2𝑝	CARDINAL
cana-5930	301	2	2	CARDINAL
cana-5930	304	1	5.8	CARDINAL
cana-5930	306	1	2𝑝	CARDINAL
cana-5930	306	2	2	CARDINAL
cana-5930	306	3	𝐺 ≅	ORG
cana-5930	310	1	2𝑝	CARDINAL
cana-5930	311	1	2𝑝	CARDINAL
cana-5930	314	1	2	CARDINAL
cana-5930	314	2	2	CARDINAL
cana-5930	314	3	3	CARDINAL
cana-5930	317	1	2𝑝	CARDINAL
cana-5930	317	2	3	CARDINAL
cana-5930	317	3	1.i.e	CARDINAL
cana-5930	317	4	2	CARDINAL
cana-5930	318	1	5.9	CARDINAL
cana-5930	319	1	two	CARDINAL
cana-5930	319	2	2	CARDINAL
cana-5930	319	3	2	CARDINAL
cana-5930	322	1	1	CARDINAL
cana-5930	324	1	1)[4	CARDINAL
cana-5930	326	1	|𝐷| ≤ 𝑝1(𝑝2 − 1	PERSON
cana-5930	328	1	⊆	CARDINAL
cana-5930	330	1	1	CARDINAL
cana-5930	331	1	1	CARDINAL
cana-5930	331	2	5.10	CARDINAL
cana-5930	332	1	𝑝 ≥ 5	DATE
cana-5930	332	2	8 ≤	QUANTITY
cana-5930	333	1	4	CARDINAL
cana-5930	333	2	4 ≤	QUANTITY
cana-5930	334	1	γ𝑐𝑡𝑑	PERSON
cana-5930	334	2	4)2	CARDINAL
cana-5930	334	3	1074	CARDINAL
cana-5930	334	4	32	CARDINAL
cana-5930	335	1	2025	CARDINAL
cana-5930	335	2	3112	CARDINAL
cana-5930	336	1	3.4	CARDINAL
cana-5930	337	1	2	CARDINAL
cana-5930	340	1	3	CARDINAL
cana-5930	343	1	4	CARDINAL
cana-5930	346	1	4	CARDINAL
cana-5930	346	2	𝐺 ≅ 𝑃4	ORG
cana-5930	348	1	γ𝑐𝑡𝑑(𝐺	GPE
cana-5930	349	1	4	CARDINAL
cana-5930	350	1	1	CARDINAL
cana-5930	350	2	s.m. hosamani	PERSON
cana-5930	350	3	malghan	PERSON
cana-5930	352	1	j. comp	PERSON
cana-5930	353	1	sci.	ORG
cana-5930	353	2	1(5):598–605	CARDINAL
cana-5930	353	3	2010	DATE
cana-5930	354	1	2	CARDINAL
cana-5930	354	2	f. harary	PERSON
cana-5930	355	1	addison-wesley	ORG
cana-5930	355	2	1972	DATE
cana-5930	356	1	3	CARDINAL
cana-5930	356	2	s. muthammai	PERSON
cana-5930	356	3	m. bhanumathi	PERSON
cana-5930	356	4	p. vidhya	PERSON
cana-5930	357	1	6(26):1273−1282, 2011	DATE
cana-5930	358	1	4	CARDINAL
cana-5930	358	2	s. muthammai	PERSON
cana-5930	358	3	p. vidhya	PERSON
cana-5930	358	4	4	CARDINAL
cana-5930	358	5	1-d	QUANTITY
cana-5930	359	1	17-20	CARDINAL
cana-5930	359	2	2016	DATE
cana-5930	360	1	5	CARDINAL
cana-5930	360	2	s. muthammai	PERSON
cana-5930	360	3	p. vidhya	ORG
cana-5930	361	1	31	CARDINAL
cana-5930	363	1	53-56	CARDINAL
cana-5930	363	2	2016	DATE
cana-5930	364	1	6	CARDINAL
cana-5930	365	1	amer	PERSON
cana-5930	366	1	colloq	PERSON
cana-5930	367	1	1962	DATE
cana-5930	368	1	7	CARDINAL
cana-5930	368	2	e. sampath kumar	PERSON
cana-5930	368	3	s.b.	PERSON
cana-5930	370	1	the karnatak university-science	ORG
cana-5930	370	2	1973	DATE
cana-5930	371	1	8	CARDINAL
cana-5930	371	2	s. jayalakshmi	PERSON
cana-5930	371	3	g. mahalakshmi	PERSON
cana-5930	373	1	2020	DATE