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AutGP(8,3)的极小边传递子群

The Minimal Edge-transitive Subgroup of AutGP (8,3)
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摘要 利用群论与图论知识,求证了AutGP(8,3)的极小边传递子群,得到提升元,进而得出GP(8,3)上的边传递(Zp×Zp)覆盖图是对称图. Using the knowledge of graph theory and group theory,this article gets the minimal edge-transitive subgroup and the enhancing element,and them gets the result that edge-transitive(Zp×Zp)covering graph of GP(8,3) is symmetric.
机构地区 防空兵指挥学院
出处 《平顶山学院学报》 2010年第5期14-15,共2页 Journal of Pingdingshan University
关键词 覆盖图 边传递 提升 covering graph edge-transitive enhancement
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参考文献4

  • 1Gross J L,Tueker T W. Generating all graph coverings by permutation voltage assignment[ J]. Discrete Math, 1977,18 (3) :273 - 283.
  • 2Malmic A. Group actions, coverings and lifts of automorphisms [ J ]. Discrete Math, 1998,182 ( 1/3 ) : 203 - 218.
  • 3Djokovic D Z. Automorphisms of graphs and coverings [ J ]. J Combin Theory : Ser B, 1974 (16) : 243 - 247.
  • 4Malnic A, Marusic D. Imprimitive graphs and graph coverings [ R ]//Jungnickel D, Vanstone S A. Coding theory, design theory, group theory. New York :Proc. M. Hall Memorial Conf. , 1993:221 - 229.

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