Arc-transitive Cayley graphs on non-ableian simple groups with soluble vertex stabilizers and valency seven

Jiangmin Pan, Fugang Yin, Bo Ling

In this paper, we study arc-transitive Cayley graphs on non-abelian simple groups with soluble stabilizers and valency seven. Let $\Ga$ be such a Cayley graph on a non-abelian simp…