On the Automorphism Group of an Antipodal Tight Graph of Diameter 4 with Parameters (5, 7, r)

被引:1
|
作者
Tsiovkina, L. Yu. [1 ]
机构
[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia
基金
俄罗斯科学基金会;
关键词
distance-regular graph; antipodal tight graph; vertex-transitive graph;
D O I
10.1134/S0001434619010115
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is proved that the automorphism group of every AT4(5, 7, r)-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters (329, 40, 3, 5) acts intransitively on the set of its vertices.
引用
收藏
页码:104 / 114
页数:11
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