立方体Q3的边传递循环覆盖
On edge-transitive cyclic coverings of the hypercube Q3
-
摘要: 利用覆盖图的电压赋值理论和有限群论知识,完全确定了立方体Q3的边传递循环覆盖图.此外,证明了这些覆盖图是弧传递的,并得到了覆盖图为2-弧传递的条件.Abstract: By using voltage assignment theory of coverings and certain knowledge of finite group theory,we determine all edge-transitive cyclic coverings of the hypercube Q3.Moreover,we prove that all such coverings are arc-transitive,and work out the conditions when the coverings are 2-arc-transitive.