Journal of Guangdong University of Technology ›› 2007, Vol. 24 ›› Issue (03): 18-20.

• Comprehensive Studies • Previous Articles     Next Articles

On the Connected Coverings of Graph K6 with the Voltage Group Z42

  

  1.  (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China)
  • Online:2007-08-10 Published:2007-08-10

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Abstract: A new method is used to discuss the connected coverings of graph K6 with the voltage group Z42,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 Z42,andthe fibre-preserving automorphism subgroup acts 2-arc-transitively on the graph Γ~=Γ×A.

Key words: covering； voltage group； 2-transitive；

[1] BIGGS N L.Algebraic Graph Theory. . 1974

[2] GUO Da-Chang.5-valent Symmetric Graphs of Order atmost 100. Australian Journal of Combinatorics . 1996

[3] Shao-Fei Du Jin Ho Kwak and Ming-Yao Xu.Linear criteria for lifting automorphisms of elementary abelian regular coverings. Linear Algebra and Its Applications . 2003
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