全正规弧传递和1/2-弧传递Cayley图

Full Normal Arc-transitive and 1/2-Arc-transitive Cayley Graphs

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摘要给出了全正规弧传递和1/2-弧传递Cayley图的构造,并构造了一些群类上分类结果. In this paper, the constructions of full normal arc-transitive and 1/2-arc-transitive Cayley graphs were given. And we also classified the full normal arc-transitive and 1/2--arc-transitive Cayley graphs on two kind of groups.

作者杜君毅马雪松

机构地区首都师范大学数学科学学院

出处《数学的实践与认识》北大核心 2016年第23期291-296,共6页 Mathematics in Practice and Theory

基金国家自然科学基金(11371259 11431003)

关键词 CAYLEY图边传递点传递弧传递 1/2-弧传递全正规 cayley graphs edge-Transitive graphs vertex-transitive graphs arc-transitive graphs 1/2- arc-transitive graphs full normal

分类号 O157.5 [理学—基础数学]

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1DARAFSHEH Mohammad Reza,ASSARI Amir.Normal edge-transitive Cayley graphs on non-abelian groups of order 4p,where p is a prime number[J].Science China Mathematics,2013,56(1):213-219. 被引量：6

二级参考文献11

1Alaeiyan M. On normal edge-transitive Cayley graphs of some abelian groups. Southeast Asian Bull Math, 2009, 33: 13-19.
2Fang X G, Li C H, Xu M Y. On edge-transitive Cayley graphs of valency four. European J Combin, 2004, 25:1107-1116.
3Godsil C D. On the full automorphism group of a graph. Combinatorica, 1981, 1:243-256.
4Godsil C D, Royle G. Algebraic Graph Theory. New York: Springer, 2001.
5Houlis P C. Quotients of normal edge-transitive Cayley graphs. MS Thesis, University of Wstern Australia, 1998.
6Li C H, Lu Z P, Zhang H. Tetravalent edge-transitive Cayley graphs with odd number of vertices. J Combin Theory Ser B, 2006, 96:164-181.
7Marusic D, Nedela R. Maps and half-transitive graphs of valency 4. European J Combin, 1998, 19:345-354.
8Praeger C E. Finite normal edge-transitive Cayley graphs. Bull Aust Math Soc, 1999, 60:207-220.
9Talebi A A. Some normal edge-transitive Cayley graphs on dihedral groups. J Math Comput Sci, 2011, 2:448-452.
10Wang C Q, Wang D J, Xu M Y. On normal Cayley graphs of finite groups. Sci China Set A, 1998, 28:131-139.

共引文献5

1徐尚进,张跃峰,曹梦月.pq阶正规边传递Cayley图[J].广西师范学院学报（自然科学版）,2015,32(3):1-4.
2M.R. Darafsheh,M. Abdollahi.On Connected Tetravalent Cayley Graphs of a Non-abelian Group of Order 3p2[J].Algebra Colloquium,2017,24(3):467-480.
3汪畅,肖仁兵,张华.pq阶群上的次正规边传递Cayley图[J].云南师范大学学报（自然科学版）,2023,43(2):25-28.
4李诺,邓奇,张华.一类非交换群上的正规边传递Cayley图[J].数学进展,2024,53(2):257-266.
5Nuo LI,Qi DENG,Hua ZHANG.Normal edge-transitive Cayley graphs on a class of non-abelian groups[J].Frontiers of Mathematics in China,2024,19(4):215-227.

1赵嗣元.矩阵的多行拟相合分类及其应用[J].数学学报（中文版）,1996,39(5):585-589. 被引量：1
2刘建成,谢逊.黎曼空间型中具有常数量曲率的超曲面的刚性[J].西北师范大学学报（自然科学版）,2015,51(6):17-20.
3陈立新.关于幂零Lie群上完备左不变仿射结构分类的注记(英文)[J].天津工业大学学报,2001,20(4):19-20.
4吴成茂,范九伦.基于万有引力定律的数据分类效果评价[J].模糊系统与数学,2004,18(2):68-72.

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全正规弧传递和1/2-弧传递Cayley图

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