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 ฯ(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
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Sharp bounds on the signless laplacian spectral radii of graphs
โ Scribed by Guanglong Yu; Yarong Wu; Jinlong Shu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 192 KB
- Volume
- 434
- Category
- Article
- ISSN
- 0024-3795
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In this paper, we show that among all the connected graphs with n vertices and k cut vertices, the maximal signless Laplacian spectral radius is attained uniquely at the graph G n,k , where G n,k is obtained from the complete graph K n-k by attaching paths of almost equal lengths to all vertices of