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±
The Signless Laplacian Spectral Radius of Graphs with Given Number of Pendant Vertices
β Scribed by Yi-Zheng Fan; Dan Yang
- Publisher
- Springer Japan
- Year
- 2009
- Tongue
- English
- Weight
- 130 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0911-0119
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Let G be a simple graph with vertices v 1 , v 2 , . . . , v n , of degrees = ) is called the signless Laplacian spectral radius or Q -spectral radius of G. Denote by Ο(G) the chromatic number for a graph G. In this paper, for graphs with order n, the extremal graphs with both the given chromatic num