ON AUTOMORPHISMS OF A DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {27, 24, 1; 1, 8, 27}

被引：3

作者：

Tsiovkina, L. Yu ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Sophia Kovalevskaya Str 16, Ekaterinburg 620990, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2013年 / 10卷

关键词：

distance-regular graph; automorphism; arc-transitive graph; antipodal cover;

D O I：

10.17377/semi.2013.10.056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array {27, 24, 1; 1, 8, 27}. It is shown, that there exists the unique (up to isomorphism) arctransitive distance-regular graph with intersection array {27, 24, 1; 1, 8, 27}. This graph is obtainable by the Cameron construction.

引用

页码：689 / 698

页数：10