Unicyclic Graphs with Minimal Energy |
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| Authors: | Yaoping Hou |
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| Institution: | (1) Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, China |
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| Abstract: | If G is a graph and  1,2,...,
n
are its eigenvalues, then the energy of G is defined as E(G)=|1|+|2|+ +|
n
|. Let S
n
3 be the graph obtained from the star graph with n vertices by adding an edge. In this paper we prove that S
n
3 is the unique minimal energy graph among all unicyclic graphs with n vertices (n 6). |
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| Keywords: | unicyclic graph energy of graph spectra of graph |
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