Table of Contents
ISRN Algebra
Volume 2011, Article ID 428959, 6 pages
Research Article

Nonnormal Edge-Transitive Cubic Cayley Graphs of Dihedral Groups

1Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
2Payame Noor University, Babol, Iran
3Department of Mathematics, Urmia University, Urmia 57135, Iran

Received 22 June 2011; Accepted 11 July 2011

Academic Editors: B. Bakalov and M. Goze

Copyright © 2011 Mehdi Alaeiyan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A Cayley graph of a finite group 𝐺 is called normal edge transitive if its automorphism group has a subgroup which both normalizes 𝐺 and acts transitively on edges. In this paper we determine all cubic, connected, and undirected edge-transitive Cayley graphs of dihedral groups, which are not normal edge transitive. This is a partial answer to the question of Praeger (1999).