刘寅, 刘哲, 杨桥艳, 潘江敏. K8的弧传递循环正则覆盖[J]. 云南大学学报(自然科学版), 2014, 36(3): 305-309. doi: 10.7540/j.ynu.20130597
引用本文: 刘寅, 刘哲, 杨桥艳, 潘江敏. K8的弧传递循环正则覆盖[J]. 云南大学学报(自然科学版), 2014, 36(3): 305-309. doi: 10.7540/j.ynu.20130597
LIU Yin, LIU Zhe, YANG Qiao-yan, PAN Jiang-min. Arc-transitive cyclic covers of the complete graph[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(3): 305-309. DOI: 10.7540/j.ynu.20130597
Citation: LIU Yin, LIU Zhe, YANG Qiao-yan, PAN Jiang-min. Arc-transitive cyclic covers of the complete graph[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(3): 305-309. DOI: 10.7540/j.ynu.20130597

K8的弧传递循环正则覆盖

Arc-transitive cyclic covers of the complete graph

  • 摘要: 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.

     

    Abstract: The research of regular covers of graphs is one of important topics in the algebraic graph theory.Using voltage assignment theory of covering of symmetric graphs and skills of finite groups,we determine arc-transitive prime order cyclic covers of the complete graphs K8,which extends certain previous results in the literature.

     

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