完全二部图K_(3,3)的s-正则二面体覆盖

s-regular Dihedral Coverings of the Bipartite Graph K_(3,3)

将图称为s正则的,如果它的自同构群作用在它的s弧集上是正则的.Feng和Kwak分类了6阶完全二部图K3,3上保纤维自同构群弧传递的连通s正则循环覆盖.现在,证明了不存在K3,3上保纤维自同构群弧传递的连通s正则二面体覆盖.

A graph is s-regular if its automorphism group acts regularly on the set of its s-arcs.Feng and Kwak classified all connected s-regular cyclic coverings of the bipartite graph K_(3,3) for each s≥1 whose fibre-preserving automorphism groups act arc-transitively.It is shown that there is no connected s-regular dihedral coverings of K_(3,3) whose fibre-preserving automorphism groups act arc-transitively.