Tetravalent normal edge-transitive Cayley graphs on a certain group of order 6n

Abstract

Let U6n = ⟨a, b|a 2n = b 3 = 1, a−1 ba = b −1 ⟩ be a group of order 6n. In this paper tetravalent normal edge-transitive Cayley graphs on U6n are considered. In this way several nonequivalent normal edge-transitive Cayley graphs on U6n are obtained whose automorphism groups are given exactly.