On Commuting Graphs of Generalized Dihedral Groups

Vipul Kakkar; Gopal Singh Rawat

On Commuting Graphs of Generalized Dihedral Groups

Combinatorics 2018-06-12 v1

Authors: Vipul Kakkar , Gopal Singh Rawat

Abstract

For a group $G$ and a subset $X$ of $G$ , the commuting graph of $X$ , denoted by $\Gamma(G,X)$ is the graph whose vertex set is $X$ and any two vertices $u$ and $v$ in $X$ are adjacent if and only if they commute in $G$ . In this article, certain properties of the commuting graph of generalized dihedral groups have been studied.

Keywords

graph theory of groups graph theory cayley graphs

Cite

@article{arxiv.1806.03614,
  title  = {On Commuting Graphs of Generalized Dihedral Groups},
  author = {Vipul Kakkar and Gopal Singh Rawat},
  journal= {arXiv preprint arXiv:1806.03614},
  year   = {2018}
}

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