On the Automorphism Group of a Graph

Wenxue Du

An automorphism of a graph $G$ with $n$ vertices is a bijective map $\varphi$ from $V(G)$ to itself such that $\varphi (v_i)\varphi (v_j)\in E(G)$ $\iff$ $v_i{v}_j\in E(G)$ for any two verti…