Sharp upper and lower bounds for the Laplacian spectral radius and the spectral radius of graphs |
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| Authors: | Ji-ming Guo |
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| Institution: | Department of Applied Mathematics, China University of Petroleum, Dongying 257061, China |
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| Abstract: | In this paper, sharp upper bounds for the Laplacian spectral radius and the spectral radius of graphs are given, respectively.
We show that some known bounds can be obtained from our bounds. For a bipartite graph G, we also present sharp lower bounds for the Laplacian spectral radius and the spectral radius, respectively.
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| Keywords: | Graph Laplacian spectral radius spectral radius upper (lower) bound bipartite graph eigenvector |
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