一个图称为弧传递的,如果它的自同构群在其弧集合上作用传递.冯衍全等已经决定了4阶完全图K4的弧传递循环正则覆盖,本文给出了5阶完全图K5的弧传递循环正则覆盖的分类.
A graph is arc-transitive if its automorphism group acts transitively on its arcs.Feng et al. have already classified the arc-transitive cyclic coverings of the complete graph K4 of order 4 and in this paper we classify the arc-transitive cyclic coverings of the complete graph K5 of order 5.