Let the reals be extended to include oo with o~ > r
Note on the spectral characterization of some cubic graphs with maximum number of triangles
โ Scribed by Fenjin Liu; Qiongxiang Huang; Hong-Jian Lai
- Book ID
- 119317715
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 292 KB
- Volume
- 438
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
Let t(G) denote the cardinality of a maximum induced forest of a graph G with n vertices. For connected simple cubic graphs G without triangles, it is shown that r(G) 3 2n/3 except for two particular graphs. This lower bound is sharp and it improves a result due to J.A. Bondy, et al. [l]. Using this
A graph G with n nodes and e edges is said to be t-optimal if G has the maximum number of spanning trees among all graphs with the same number of nodes and edges as G. Hitherto, t-optimal graphs have been characterized for the following cases: (a) n=sp, and e=(s(s-1)/2)p 2, when s and p are positive