Two new infinite families of arc-transitive antipodal distance-regular graphs of diameter three with related to groups and

被引：9

作者：

Tsiovkina, L. Yu ^{[1
]}

机构：

[1] UB RAS, Krasovsky Inst Math & Mech, Dept Algebra & Topol, Ekaterinburg 620990, Russia

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2015年 / 41卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Antipodal graph; Arc-transitive graph; Automorphism group; Distance-regular graph; r-Fold covering graph; COVERS;

D O I：

10.1007/s10801-014-0566-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct two new infinite families of arc-transitive distance-regular graphs, related to Suzuki groups and Ree groups , where . They are antipodal -covers of complete graphs on or vertices, respectively, with and being an arbitrary odd divisor of . We also find that the graph on the set of involutions of with , whose edges are the pairs of involutions such that , is distance-regular.

引用

页码：1079 / 1087

页数：9