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ISRN Algebra
Volume 2011 (2011), Article ID 428959, 6 pages
http://dx.doi.org/10.5402/2011/428959
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.

Linked References

  1. C. E. Praeger, “Finite normal edge-transitive Cayley graphs,” Bulletin of the Australian Mathematical Society, vol. 60, no. 2, pp. 207–220, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. M. Y. Xu, “Automorphism groups and isomorphisms of Cayley digraphs,” Discrete Mathematics, vol. 182, no. 1–3, pp. 309–319, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. M. Alaeiyan, H. Tavallaee, and A. A. Talebi, “Cayley graphs of abelian groups which are not normal edge-transitive,” Vietnam Journal of Mathematics, vol. 33, no. 3, pp. 309–318, 2005. View at Zentralblatt MATH
  4. H. S. Sim and Y. W. Kim, “Normal edge-transitive circulant graphs,” Bulletin of the Korean Mathematical Society, vol. 38, no. 2, pp. 317–324, 2001. View at Zentralblatt MATH
  5. Y. Q. Feng, J. H. Kwak, and M. Y. Xu, “s-regular cubic Cayley graphs on abelian or dihedral groups,” Research Report 53, Institute of Mathematics Peking University, 2000.
  6. S. F. Du, Y. Q. Feng, J. H. Kwak, and M. Y. Xu, “Cubic Cayley graphs on dihedral groups,” Mathematical Analysis and Applications, vol. 7, pp. 224–234, 2004.