Affine flag graphs and classification of a family of symmetric graphs with complete quotients

Yu Qing Chen, Teng Fang, Sanming Zhou

A graph $\Gamma$ is $G$-symmetric if $G$ is a group of automorphisms of $\Gamma$ which is transitive on the set of ordered pairs of adjacent vertices of $\Gamma$. If $V(\Gamma )$ admits a nontrivial $G…