Heptavalent symmetric graphs with solvable stabilizers admitting vertex-transitive non-abelian simple groups

Jia-Li Du, Yan-Quan Feng, Yu-Qin Liu

A graph $\Gamma$ is said to be symmetric if its automorphism group $\mathrm{Aut}(\mathrm{\Gamma })$ acts transitively on the arc set of $\Gamma$. In this paper, we show that if $\Gamma$ is a finite connected heptava…