Title | 5-Arc transitive cubic Cayley graphs on finite simple groups |
Authors | Xu, Shang Jin Fang, Xin Gui Wang, Jie Xu, Ming Yao |
Affiliation | Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China. Peking Univ, LMAM, Beijing 100871, Peoples R China. Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. Peking Univ, LMAM, Beijing 100085, Peoples R China. Peking Univ, Sch Math Sci, Beijing 100085, Peoples R China. Natl Nat Sci Fdn China, Beijing 100085, Peoples R China. Shanxi Teachers Univ, Sch Math & Comp Sci, Linfen 041004, Peoples R China. |
Issue Date | 2007 |
Publisher | european journal of combinatorics |
Citation | EUROPEAN JOURNAL OF COMBINATORICS.2007,28,(3),1023-1036. |
Abstract | In this paper, we determine all connected 5-arc transitive cubic Cayley graphs on the alternating group A(47); there are only two such graphs (up to isomorphism). By earlier work of the authors, these are the only two non-normal connected cubic arc-transitive Cayley graphs for finite nonabelian simple groups, and so this paper completes the classification of such non-normal Cayley graphs. (c) 2006 Elsevier Ltd. All rights reserved. |
URI | http://hdl.handle.net/20.500.11897/251834 |
ISSN | 0195-6698 |
DOI | 10.1016/j.ejc.2005.07.020 |
Indexed | SCI(E) |
Appears in Collections: | 数学及其应用教育部重点实验室 数学科学学院 |