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Enumeration of spanning trees containing perfect matchings in hexagonal chains with a unique kink

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  • Ma, Xiaoxu
  • Yang, Yujun

Abstract

Hexagonal chains are graph representations of benzenoid polymers which are common but important molecular structures in chemistry. A spanning tree of a graph is a subgraph which is a tree and contains all the vertices of the graph. A perfect matching of a graph is a set of disjoint edges covering all vertices of the graph. In this paper, we give exact expression for the number of spanning trees containing perfect matchings in hexagonal chains with a unique kink.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:475:y:2024:i:c:s0096300324001942
    DOI: 10.1016/j.amc.2024.128722
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