On tricyclic graphs of a given diameter with minimal energy |
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| Authors: | Shuchao Li |
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| Affiliation: | a Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, PR China
b Division of Academic Enhancement The University of Georgia, GA 30602, USA |
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| Abstract: | The energy of a graph is defined as the sum of the absolute values of all the eigenvalues of the graph. Let G(n,d) be the class of tricyclic graphs G on n vertices with diameter d and containing no vertex disjoint odd cycles Cp,Cq of lengths p and q with p+q≡2(mod4). In this paper, we characterize the graphs with minimal energy in G(n,d). |
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| Keywords: | 05C50 05C35 |
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