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Cubic edge-transitive graphs of order 4p2
M. Alaeiyan and B. N. Onagh
Received: December 29, 2007; Revised: January 13, 2009; Accepted: May 6, 2009
Abstract. A regular graph G is said to be semisymmetric if its full automorphism group acts transitively on its edge-set but not on its vertex-set. It was shown by Folkman  that a regular edge-transitive graph of order 2p or 2p2 is necessarily vertex-transitive, where p is a prime. In this paper, it is proved that there is no connected semisymmetric cubic graph of order 4p2, where p is a prime.
Keywords: semisymmetric graph, cubic graph, regular covering, solvable group.
AMS Subject classification: Primary: 05C25, 20B25.
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