p. 183 - 186 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 [5] 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. Version to read: PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |