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

来源：

MATHEMATICAL NOTES | 2019年 / 105卷 / 1-2期

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

页码：104 / 114

页数：11

共 11 条

[1] [Anonymous], 1989, DISTANCE REGULAR GRA
[2] Strongly regular graphs with non-trivial automorphisms
Behbahani, Majid
Lam, Clement
[J]. DISCRETE MATHEMATICS, 2011, 311 (2-3) : 132 - 144
[3] Brouwer A., Parameters of strongly regular graphs
[4] CAMERON P. J., 1999, PERMUTATION GROUPS
[5] Thompson-like characterizations of the solvable radical
Guralnick, R
Kunyavskii, B
Plotkin, E
Shalev, A
[J]. JOURNAL OF ALGEBRA, 2006, 300 (01) : 363 - 375
[6] Krein parameters and antipodal tight graphs with diameter 3 and 4
Jurisic, A
Koolen, J
[J]. DISCRETE MATHEMATICS, 2002, 244 (1-3) : 181 - 202
[7] Classification of the family AT4(qs, q, q) of antipodal tight graphs
Jurisic, Aleksandar
Koolen, Jack
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2011, 118 (03) : 842 - 852
[8] Makhnev AA, 2016, T I MAT MEKH URO RAN, V22, P220
[9] TSIOVKINA L, 1971, ARC, V340, P63, DOI DOI 10.1016/J.DISC.2016.08.001
[10] Two new infinite families of arc-transitive antipodal distance-regular graphs of diameter three with related to groups and
Tsiovkina, L. Yu
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2015, 41 (04) : 1079 - 1087

← 1 2 →