Spectral radius of graphs with given matching number
β Scribed by Lihua Feng; Guihai Yu; Xiao-Dong Zhang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 117 KB
- Volume
- 422
- 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 D be a digraph with vertex set V (D). A partition of V (D) into k acyclic sets is called a k-coloring of D. The minimum integer k for which there exists a k-coloring of D is the dichromatic number Ο(D) of the digraph D. Denote G n,k the set of the digraphs of order n with the dichromatic number