文献类型：期刊文献

英文题名：Hexavalent (G, s)-transitive graphs

作者：Guo, Song-Tao[1];Hua, Xiao-Hui[2];Li, Yan-Tao[3]

第一作者：Guo, Song-Tao

通讯作者：Guo, ST[1]

机构：[1]Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China;[2]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China;[3]Beijing Union Univ, Coll Arts & Sci, Beijing 100091, Peoples R China

第一机构：Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

通讯机构：[1]corresponding author), Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.

年份：2013

卷号：63

期号：4

起止页码：923-931

外文期刊名：CZECHOSLOVAK MATHEMATICAL JOURNAL

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000331707300005)】；

基金：This work was supported by the National Natural Science Foundation of China (11301154, 11271012, 11301159, 11101035), the Key Project of Education Department of Henan Province Scientific and Technological Research (13A110249) and the Scientific Research Foundation for Doctoral Scholars of HAUST (09001707).

语种：英文

外文关键词：symmetric graph; s-transitive graph; (G,s)-transitive graph

摘要：Let X be a finite simple undirected graph with a subgroup G of the full automorphism group Aut(X). Then X is said to be (G, s)-transitive for a positive integer s, if G is transitive on s-arcs but not on (s + 1)-arcs, and s-transitive if it is (Aut(X), s)-transitive. Let G (v) be a stabilizer of a vertex v a V (X) in G. Up to now, the structures of vertex stabilizers G (v) of cubic, tetravalent or pentavalent (G, s)-transitive graphs are known. Thus, in this paper, we give the structure of the vertex stabilizers G (v) of connected hexavalent (G, s)-transitive graphs.