图的正则覆盖的研究是代数图论中的重要研究课题之一.利用对称图覆盖的电压赋值理论和有限群论的技巧,刻画了完全图K8的素数阶的弧传递循环正则覆盖,拓展了一些已知的结果.
The research of regular covers of graphs is one of important topics in the algebraic graph theory. U-sing voltage assignment theory of covering of symmetric graphs and skills of finite groups ,we determine arc -transi- tive prime order cyclic covers of the complete graphs K8, which extends certain previous results in the literature.