Cubic edge-transitive graphs of order 4 p 2
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 2
M. Alaeiyan; B. N. Onagh. Cubic edge-transitive  graphs of order 4 p 2. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a2/
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     author = {M. Alaeiyan and B. N. Onagh},
     title = {Cubic edge-transitive  graphs of order 4 p 2},
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     year = {2009},
     volume = {78},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a2/}
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Voir la notice de l'article provenant de la source Comenius University

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 2 p or 2 p 2 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 4 p 2 , where p is a prime.