Two-distance-primitive graphs with prime valency

被引:4
|
作者
Jin, Wei [1 ,2 ]
Huang, Yang [1 ]
Liu, Wei Jun [1 ]
机构
[1] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
[2] Jiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R China
关键词
2-distance-primitive graph; 2-distance-transitive graph; Primitive group; PERMUTATION-GROUPS; TRANSITIVE GRAPHS; DISTANCE;
D O I
10.1016/j.amc.2019.03.052
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A 2-distance-primitive graph is a vertex-transitive graph satisfying that the stabilizer of a vertex is primitive on both the first step and the second step neighbourhoods. In this paper, we give a classification of the family of prime valency 2-distance-primitive graphs. (c) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码:310 / 316
页数:7
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