Graph Automorphisms from the Geometric Viewpoint

Wen-Xue Du, Yi-Zheng Fan

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