The smallest Laplacian spectral radius of graphs with a given clique number
β Scribed by Ji-Ming Guo; Jianxi Li; Wai Chee Shiu
- Book ID
- 113772352
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 660 KB
- Volume
- 437
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The independence number Ξ±(G) of G is defined as the maximum cardinality of a set of pairwise non-adjacent vertices which is called an independent set. In this paper, we characterize the graphs which have the minimum spectral radius among all the connected graphs of order n with independence number Ξ±
Let B(n, g) be the class of bicyclic graphs on n vertices with girth g. Let B 1 (n, g) be the subclass of B(n, g) consisting of all bicyclic graphs with two edge-disjoint cycles and B 2 (n, g) = B(n, g) \ B 1 (n, g). This paper determines the unique graph with the maximal Laplacian spectral radius a