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On bicyclic graphs with minimal energies

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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) be the class of bicyclic graphs G on n vertices and containing no disjoint odd cycles of lengths k and l with k + l ≡ 2 (mod 4). In this paper, the graphs in G(n) with minimal, second-minimal and third-minimal energies are determined.

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Authors and Affiliations

  1. Department of Mathematics, South China Normal University, Guangzhou, 510631, People’s Republic of China

    Jianbin Zhang & Bo Zhou

Authors
  1. Jianbin Zhang
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  2. Bo Zhou
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Correspondence to Bo Zhou.

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AMS subject classification: 05C50, 05C35

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Zhang, J., Zhou, B. On bicyclic graphs with minimal energies. J Math Chem 37, 423–431 (2005). https://doi.org/10.1007/s10910-004-1108-x

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  • DOI: https://doi.org/10.1007/s10910-004-1108-x

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