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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/120/01/0019-0026

    • Keywords

       

      Automorphism group; regular cover; vertex-transitive graph; edge-transitive graph; semisymmetric graph.

    • Abstract

       

      An undirected graph without isolated vertices is said to be semisymmetric if its full automorphism group acts transitively on its edge set but not on its vertex set. In this paper, we inquire the existence of connected semisymmetric cubic graphs of order $16p^2$. It is shown that for every odd prime 𝑝, there exists a semisymmetric cubic graph of order $16p^2$ and its structure is explicitly specified by giving the corresponding voltage rules generating the covering projections.

    • Author Affiliations

       

      Mehdi Alaeiyan1 Hamid A Tavallaee1 B N Onagh1

      1. Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran

    • Dates

       
      Published
      February 2010
      Manuscript received
      3 March 2009
      Manuscript revised
      26 October 2009

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