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Arc-transitive cubic Cayley graphs on PSL(2,p) 被引量:5

Arc-transitive cubic Cayley graphs on PSL(2,p)
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摘要 For a prime p at least 5,let T=PSL(2,p).This paper gives a classification of the connected arc-transitive cubic Cayley graphs on T and a determination of the gener- ated pairs ((?),(?)) of T such that o((?))=2 and o((?))=3. For a prime p at least 5, let T = PSL(2, p). This paper gives a classification of the connected arc-transitive cubic Cayley graphs on T and a determination of the generated pairs (-a,-t) of T such that o(-a) = 2 and o(-t) = 3.
出处 《Science China Mathematics》 SCIE 2005年第10期1297-1308,共12页 中国科学:数学(英文版)
基金 supported by the National natural Science Foundation of China(Grant No.10371003) Beijing Natural Science Foundation(Grant no.1052005) BMCE(Grant No.KM 2004 10028001).
关键词 are-transitive graph Cayley-graph simple group PSL(2 p) arc-transitive graph, Cayley-graph, simple group PSL(2, p)
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  • 1KWAK Jin Ho.Classifying cubic symmetric graphs of order 10p or 10p^(2)[J].Science China Mathematics,2006,49(3):300-319. 被引量:9
  • 2LU Zaiping, WANG Changqun & XU MingyaoLMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China,Department of Mathematics, Zhengzhou University, Zhengzhou 450052, ChinaPresent address: Department of Mathematics, Qufu Normal University, Qufu 273165, China..On semisymmetric cubic graphs of order 6p^(2)[J].Science China Mathematics,2004,47(1):1-17. 被引量:12
  • 3XU Mingyao,XU Shangjin.Symmetry properties of Cayley graphs of small valencies on the alternating group A_5[J].Science China Mathematics,2004,47(4):593-604. 被引量:7
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