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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Feng, Yan-Quan Ghasemi, Mohsen and Yang, Da-Wei 2014. Cubic symmetric graphs of order 8p3. Discrete Mathematics, Vol. 318, Issue. , p. 62.
    Hua, XiaoHui and Feng, YanQuan 2011. Cubic semisymmetric graphs of order 8p 3. Science China Mathematics, Vol. 54, Issue. 9, p. 1937.
    Alaeiyan, Mehdi Tavallaee, Hamid A. and Onagh, B. N. 2010. Semisymmetric cubic graphs of order 16p 2. Proceedings - Mathematical Sciences, Vol. 120, Issue. 1, p. 19.
    Alaeiyan, Mehdi and Hosseinipoor, M. K. 2009. Classifying cubic edge-transitive graphs of order 8p. Proceedings - Mathematical Sciences, Vol. 119, Issue. 5, p. 647.
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CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER 8p2

  • MEHDI ALAEIYAN (a1) and MOHSEN GHASEMI (a2)
Abstract

A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let p be a prime. It was shown by Folkman [J. Folkman, ‘Regular line-symmetric graphs’, J. Combin. Theory3 (1967), 215–232] that a regular edge-transitive graph of order 2p or 2p2 is necessarily vertex-transitive. In this paper an extension of his result in the case of cubic graphs is given. It is proved that every cubic edge-transitive graph of order 8p2 is vertex-transitive.

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Copyright
COPYRIGHT: © 2008 Australian Mathematical Society
Corresponding author
✉For correspondence; e-mail: alaeiyan@iust.ac.ir
References
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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