摘要
一个图称为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等[6,7]分类了立方体Q3上保纤维自同构群弧传递的连通s-正则循环覆盖.本文证明了不存在立方体Q3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 automorpism group acts regularly on the set of its s-arcs. This paper studies the s-regular dihedral covering of the three-dimensional hypercube Q, and proves that s-regular dihedral covering of the Q is not exist.
出处
《廊坊师范学院学报》
2004年第4期24-26,共3页
Journal of Langfang Teachers College
基金
国家自然科学基金资助项目(10071002)
关键词
S-正则图
s-弧-传递图
正则覆盖
s-regular graphs
s-arc-transitive graphs
regular covering