Shahid Rajaee Teacher Training University Journal of Discrete Mathematics and Its Applications 2981-0809 8 1 2023 03 01 Automorphism group of quasi-abelian semi-Cayley graphs 43 48 1923 10.22061/jdma.2023.10137.1059 EN Majid Arezoomand Department of Mathematics, Larestan University, Lar, I. R. Iran Journal Article 2023 01 28 Let G be a group and R,L,S be subsets of G such that $R=R^{-1}$, $L=L^{-1}$ and $1\notin R\cup L$. The undirected graph $\SC(G;R,L,S)$ with vertex set  union of $G_1=\{g_1\mid g\in G\}$ and $G_2=\{g_2\mid g\in G\}$, and edge set the union of $\{\{g_1,(gr)_1\}\mid g\in G, r\in R\}$, $\{\{g_2,(gl)_2\}\mid g\in G,l\in L\}$ and $\{\{g_1,(gs)_2\}\mid g\in G,s\in S\}$ is called semi-Cayley graph over G.  We say that $\SC(G;R,L,S)$ is quasi-abelian if R,L and S are a  union of conjugacy classes of G. In this paper, we study the automorphism group of quasi-abelian semi-Cayley graphs. https://jdma.sru.ac.ir/article_1923_ee9ab1bcac4eb2c7a2bb36612555e0cb.pdf