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Enumeration of spanning trees of 2-separable networks

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  • Li, Tianyu
  • Yan, Weigen

Abstract

Gong and Li (2017) considered the enumerative problem of a special class of so-called 2-separable networks. In this paper, we pay attention to the general 2-separable networks and obtain a more general result on the number of spanning trees of 2-separable networks. As applications, we enumerate spanning trees of some networks in the context of statistical physics, which generalizes the results in Zhang et al. (2011).

Suggested Citation

  • Li, Tianyu & Yan, Weigen, 2019. "Enumeration of spanning trees of 2-separable networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119304923
    DOI: 10.1016/j.physa.2019.04.113
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    References listed on IDEAS

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    1. Z.-Z. Zhang & S.-G. Zhou & T. Zou, 2007. "Self-similarity, small-world, scale-free scaling, disassortativity, and robustness in hierarchical lattices," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(3), pages 259-271, April.
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    Cited by:

    1. Liang, Jing & Zhao, Haixing & Yin, Jun & Xie, Sun, 2022. "Entropy and enumeration of spanning connected unicyclic subgraphs in self-similar network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).

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