A Note on Bi-Normal Cayley Graphs

Jing Jian Li1, Zai Ping Lu2, Gaixia Wang3
1CENTER FOR CoMBINATORICS, LPMC, NANKAI UNIVERSITY, TIANJIN 300071, P. R. CHINA
2CENTER FOR COMBINATORICS, LPMC, Nankal UNIversITY, TIANJIN 300071, P. R. CHINA
3CENTER FOR ComBINATORICS, LPMC, Nankal UNIVERSITY, TIANJIN 300071, P. R. CHINA

Abstract

The aim of this paper is to answer a question proposed by Li \([2]\) and prove that no connected bi-normal Cayley graph other than cycles of even length is \(3\)-arc-transitive.