Heawood的s-正则二面体覆盖

s-regular Dihedral Coverings of the Heawood

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摘要将一个图称为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.利用电压图与提升的方法.证明了不存在Haeawood图上保纤维自同构群弧传递的连通s-正则二面体覆盖. It is proved that there isn＇t connected s-regular dihedral coverings of Heawood whose fibre-preserving automorphism groups act acr-transitively by applying voltage graph and life method.

作者刘志强李文汉

机构地区北京建筑工程学院理学院石家庄经济学院数理学院

出处《内江师范学院学报》 2008年第8期16-18,共3页 Journal of Neijiang Normal University

基金国家自然科学基金资助项目(10071002) 内江师范学院校科研基金(100702407)

关键词 S-正则图 s-弧传递图正则覆盖 s - regular groups s -arc-transitive graphs regular coverings

分类号 O157.5 [理学—基础数学] O152.9 [理学—基础数学]

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参考文献8

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二级参考文献7

1TUTTE W T.A family of cubical graphs [J].Proc Camb Phil Soc,1947,43:459-474.
2TUTTE W T.On the symmetry of cubic graphs [J].Canad J Math,1959,11:621-624.
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6FENG Y Q,KWAK J H.Constructing an infinite family of cubic 1-regular graph [J].European J Combin,2002,23:559-565.
7FENG Y Q,KWAK J H.s-regular cyclic coverings of the complete bipartite graph K3,3[J].J Graph Theory,2004,45:101-112.

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内江师范学院学报

2008年第8期

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Heawood的s-正则二面体覆盖

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