On the spectral radius and the genus of graphs (Q1907101)
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scientific article; zbMATH DE number 839124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spectral radius and the genus of graphs |
scientific article; zbMATH DE number 839124 |
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On the spectral radius and the genus of graphs (English)
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29 September 1999
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Let \(G\) be a graph of genus \(g\) and let \(r(G)\) be the largest eigenvalue of the adjacency matrix of \(G\). The author proves that \(r(G)\leq(6| V(G)|+12g-6)^{1/2}\). The bound is slightly improved in the case of some small genus surfaces.
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spectral radius
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eigenvalue
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adjacency matrix
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genus surfaces
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