The Counting of Isomorphism Classes of Mixed Graphs

Authors

  • Shengyu Cai
  • Yiqi Zheng
  • Hanwen Feng

DOI:

https://doi.org/10.61173/bcdta134

Keywords:

-mixed graph isomorphism, Burnside’s lem-ma, coloring

Abstract

Group theory and graph theory have important research value in mathematics today. Counting problems also play a decisive role in combinatorics. This paper introduces the number of isomorphism classes of mixed graphs with n vertices. The counting of them which using Burnside’s lemma is solved by converting the cases of edges and vertices to some colors.

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Published

2025-07-06