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ARC-TRANSITIVE CUBIC GRAPHS OF ORDER 4_p 被引量：3

ARC-TRANSITIVE CUBIC GRAPHS OF ORDER 4_p
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摘要 In this paper, a complete classification of arc-transitive cubic graphs of order 4p is given. In this paper, a complete classification of arc-transitive cubic graphs of order 4p is given.
作者 XUMINGYAO ZHANGQINHAI ZHOUJINXIN
机构地区 SchoolofMathematicsandComputerSciences SchoolofMathematicsandComputerSciences
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第4期545-554,共10页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.19831050, No.10171086) the Shanxi Provincial Natural Science Foundation of China (No.20011004) the Key Program of the Ministry of Education of China (No.02023) the Returned A
关键词 弧函数 传递图 三次正图 图覆盖 图论 Arc-transitive graph, Cubic s-regular graph, Coverings of a graph
分类号 O157.5 [理学—基础数学]
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参考文献16

  • 1[1]Biggs, N. L., Algebraic Graph Theory, Cambridge University Press, 1974.
  • 2[2]Conder, M. D. E. & Dobcsanyi, P., Trivalent symmetric graphs on up to 768 vertices, J. Combin.Math. Combin. Comput., 40(2002), 41-63.
  • 3[3]Biggs, N. L. & Smith, D. H., On trivalent graphs, Bull. London Math. Soc., 3(1971), 155-158.
  • 4[4]Conder, M. D. E. & Lorimer, P., Automorphism groups of symmetric graphs of valency 3, J. Combin.Theory, Ser. B, 47(1989), 60-72.
  • 5[5]Cheng, Y. & Oxley, J., On the weakly symmetric graphs of order twice aprime, J. Combin. Theory,Ser. B, 42(1987), 196-211.
  • 6[6]Du, S. F., Kwak, J. H. & Xu, M. Y., Linear criteria for lifting automorphisms of elementary abelian regular coverings, Linear Algebra and Its Applications, 373C(2003), 101-119.
  • 7[7]Djokovie, D. Z. & Miller, G. L., Regular groups of automorphisms of cubic graphs, J. Combin. Theory,Ser. B, 29(1980), 195-230.
  • 8[8]Feng, Y. Q. & Kwak, J. H., Cubic s-Regular Graphs, Com2MaC Lecture Note Series, No. 7, Combinatorial and Computational Mathematics Center, Pohang University of Science and Technology, 2002,85 pages.
  • 9[9]Frucht, R., A one-regular graph of degree three, Canad. J. Math., 4(1952), 240-247.
  • 10[10]Gorenstein, D., Finite Simple Groups, Plenum Press, New York, 1982.

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Chinese Annals of Mathematics,Series B
2004年 第4期

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