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Counting spanning trees with a Kekulé structure in linear hexagonal chains

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  • Li, Danyi
  • Yan, Weigen

Abstract

In chemical graph theory, many topological indices of the hexagonal chains, for instance, the energy, Wiener and Kirchhoff indices, and numbers of Kekulé structures and spanning trees, and so on, have been studied extensively. We enumerate spanning trees with a Kekulé structure in the linear hexagonal chains on the plane, cylinder and Möbius strip, respectively.

Suggested Citation

  • Li, Danyi & Yan, Weigen, 2023. "Counting spanning trees with a Kekulé structure in linear hexagonal chains," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    • Handle: RePEc:eee:apmaco:v:456:y:2023:i:c:s0096300323002941
    DOI: 10.1016/j.amc.2023.128125
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    References listed on IDEAS

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    1. Huang, Jing & Li, Shuchao & Li, Xuechao, 2016. "The normalized Laplacian, degree-Kirchhoff index and spanning trees of the linear polyomino chains," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 324-334.
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    Cited by:

    1. Ma, Xiaoxu & Yang, Yujun, 2024. "Enumeration of spanning trees containing perfect matchings in hexagonal chains with a unique kink," Applied Mathematics and Computation, Elsevier, vol. 475(C).

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