A new upper bound for the spectral radius of graphs with girth at least 5 (Q2369050)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new upper bound for the spectral radius of graphs with girth at least 5 |
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A new upper bound for the spectral radius of graphs with girth at least 5 (English)
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28 April 2006
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The bound mentioned in the title is \(\rho\leq(-1+\sqrt{4n+4\Delta-3})/2\) with equality if and only if \(G\cong C_5\); here \(G\) is simple connected, with \(n\) vertices and girth at least 5, and \(\Delta\) is the maximum degree of graph \(G\).
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Perron-eigenvector
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