Symmetric graphs of valency seven and their basic normal quotient graphs

Jiangmin Pan, Junjie Huang, Chao Wang

A graph $\Gamma$ is basic if Aut$\Gamma$ has no normal subgroup $N\ne 1$ such that $\Gamma$ is a normal cover of the normal quotient graph ${\Gamma }_N$. In this paper, we completely determine the basic n…