Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10118398 | European Journal of Combinatorics | 2005 | 11 Pages |
Abstract
For a positive integer s, a graph Î is called s-arc transitive if its full automorphism group AutÎ acts transitively on the set of s-arcs of Î. Given a group G and a subset S of G with S=Sâ1 and 1âS, let Î=Cay(G,S) be the Cayley graph of G with respect to S and GR the set of right translations of G on G. Then GR forms a regular subgroup of AutÎ. A Cayley graph Î=Cay(G,S) is called normal if GR is normal in AutÎ. In this paper we investigate connected cubic s-arc transitive Cayley graphs Î of finite non-Abelian simple groups. Based on Li's work (Ph.D. Thesis (1996)), we prove that either Î is normal with sâ¤2 or G=A47 with s=5 and AutÎ â
A48. Further, a connected 5-arc transitive cubic Cayley graph of A47 is constructed.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Shang Jin Xu, Xin Gui Fang, Jie Wang, Ming Yao Xu,