于雪, 娄本功. 素数阶完全图的边传递地图[J]. 云南大学学报(自然科学版), 2019, 41(4): 655-660. doi: 10.7540/j.ynu.20180555
引用本文: 于雪, 娄本功. 素数阶完全图的边传递地图[J]. 云南大学学报(自然科学版), 2019, 41(4): 655-660. doi: 10.7540/j.ynu.20180555
YU Xue, LOU Ben-gong. Edge transitive maps of complete graph with the prime vertices[J]. Journal of Yunnan University: Natural Sciences Edition, 2019, 41(4): 655-660. DOI: 10.7540/j.ynu.20180555
Citation: YU Xue, LOU Ben-gong. Edge transitive maps of complete graph with the prime vertices[J]. Journal of Yunnan University: Natural Sciences Edition, 2019, 41(4): 655-660. DOI: 10.7540/j.ynu.20180555

素数阶完全图的边传递地图

Edge transitive maps of complete graph with the prime vertices

  • 摘要: 主要研究了完全图Kp的可定向边传递但非弧传递地图,其中p是一个奇素数且p≡3 (mod 4),给出了此类地图的一个构造及计数公式,并在一定条件下得到了此类地图的亏格.

     

    Abstract: We study the edge-transitive but not arc-transitive maps of complete graphs Kp, where p is an odd prime such that p≡3 (mod 4). A construction of the map and the enumeration formulate of non-isomorphic such maps are given. Furthermore, we obtain the genus of the map under certain conditions.

     

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