| On the Spectral Radii of Bicyclic Graphs |
| Received:March 20, 2006 Revised:January 17, 2007 |
| Key Words:
bicyclic graph spectral radius characteristic polynomial.
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| Fund Project:the National Natural Science Foundation of China (10331020). |
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| Abstract: |
| A graph $G$ of order $n$ is called a bicyclic graph if $G$ is connected and the number of edges of $G$ is $n+1$. Let ${\cal B}(n)$ be the set of all bicyclic graphs on $n$ vertices. In this paper, the first three largest spectral radii in the class ${\cal B}(n)$~($n\geq 9$) together with the corresponding graphs are given. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.03.001 |
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