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Minimal energy of unicyclic graphs of a given diameter |
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| Authors: | Feng Li Bo Zhou |
| Institution: | (1) Department of Applied Mathematics, College of Science, South China Agricultural University, Guangzhou, 510640, People’s Republic of China;(2) Department of Mathematics, South China Normal University, Guangzhou, 510631, People’s Republic of China |
| Abstract: | The energy of a graph is defined as the sum of the absolute values of all the eigenvalues of the graph. For a given positive
integer d with  , we characterize the graphs with minimal energy in the class of unicyclic graphs with n vertices and a given diameter d.
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| Keywords: | energy diameter unicyclic graphs characteristic polynomial |
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