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关于电压群是Z4^2时图K6的连通拓扑覆盖图

On the Connected Coverings of Graph K6 with the Voltage Group Z4^2
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摘要 讨论了图K6的电压群为Z4^2的连通拓扑覆盖图,发现图K6没有具有以下条件的连通正则拓扑覆盖图:拓扑覆盖传递群同构于Z4^2;保持束不变自同构子群G2-弧传递的作用于图Г^-. A new method is used to discuss the connected coverings of graph K6 with the voltage group Z4^2, and we find that there are no 2-transitive regular connected coverings of K6 satisfying the following two conditions : the covering transformation group is isomorphic to Z4^2, andthe fibre-preserving automorphism subgroup acts 2-arc-transitively on the graph Г^- = Г ×ФA.
作者 吴小芳
出处 《广东工业大学学报》 CAS 2007年第3期18-20,共3页 Journal of Guangdong University of Technology
关键词 拓扑覆盖图 电压群 2-弧传递性 covering voltage group 2-transitive
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参考文献3

  • 1BIGGS N L. Algebraic Graph Theory [ M ]. UK London: Cambridge University Press, 1974.
  • 2DU Shao-fei, KWAK Jin Ho, XU Ming-yao. Linear criteria for lifting automorphisms of elementary abelian regular coveting [ J ]. Linear Algebra and Its Applications, 2003 (373) :101-119.
  • 3GUO Da-Chang. 5-valent Symmetric Graphs of Order at most 100 [ J ]. Australian Journal of Combinatorics, 1996 (14) :37-50.

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