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Perfect Matchings in Random Octagonal Chain Graphs

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Listed:
  • Shouliu Wei
  • Niandong Chen
  • Xiaoling Ke
  • Guoliang Hao
  • Jianwu Huang
  • Niansheng Tang

Abstract

A perfect matching of a (molecule) graph G is a set of independent edges covering all vertices in G. In this paper, we establish a simple formula for the expected value of the number of perfect matchings in random octagonal chain graphs and present the asymptotic behavior of the expectation.

Suggested Citation

  • Shouliu Wei & Niandong Chen & Xiaoling Ke & Guoliang Hao & Jianwu Huang & Niansheng Tang, 2021. "Perfect Matchings in Random Octagonal Chain Graphs," Journal of Mathematics, Hindawi, vol. 2021, pages 1-5, June.
    • Handle: RePEc:hin:jjmath:2324632
    DOI: 10.1155/2021/2324632
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