The Laplacian spectral radius of graphs on surfaces |
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| Authors: | Liang Lin |
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| Affiliation: | Department of Maths and Physics, Guilin University of Technology, Guilin, Guangxi 541004, China |
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| Abstract: | Let G be an n-vertex (n?3) simple graph embeddable on a surface of Euler genus γ (the number of crosscaps plus twice the number of handles). Denote by Δ the maximum degree of G. In this paper, we first present two upper bounds on the Laplacian spectral radius of G as follows:- (i)
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| Keywords: | Adjacency matrix Laplacian matrix Spectral radius Euler genus Outerplanar graph Halin graph |
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