Cubic Edge-Transitive Graphs of Order \(12p\) or \(12p^2\)

Yan-Tao Li1, Hui-Wen Cheng2, Qing-Hua Ma1
1College of Applied Arts and Science, Beijing Union University Beijing 100091, P.R. China
2Department of Mathematics, Beijing Haidian Adults University Beijing 100088, P.R. China

Abstract

A graph is said to be edge-transitive if its automorphism group acts transitively on its edge set. In this paper, all connected cubic edge-transitive graphs of order \(12p\) or \(12p^2\) are classified.