On the automorphism group of an antipodal tight graph of diameter 4 with parameters \((5, 7, r)\)

DOI10.1134/S0001434619010115zbMath1415.05075OpenAlexW2936874020MaRDI QIDQ2313612

Ludmila Yur'evna Tsiovkina

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619010115

zbMATH Keywords

distance-regular graphvertex-transitive graphantipodal tight graph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12)

Related Items (1)

The prime spectrum of an automorphism group of an 𝐴𝑇4(𝑝,𝑝+2,𝑟)-graph

Cites Work

• Unnamed Item
• Unnamed Item
• Strongly regular graphs with non-trivial automorphisms
• Distance regular graphs of diameter 3 and strongly regular graphs
• Krein parameters and antipodal tight graphs with diameter 3 and 4
• Two new infinite families of arc-transitive antipodal distance-regular graphs of diameter three with \(\lambda =\mu \) related to groups \(\mathrm{Sz}(q)\) and \(^2G_2(q)\)
• Small \textit{AT4}-graphs and strongly regular subgraphs corresponding to them
• Arc-transitive antipodal distance-regular covers of complete graphs related to \(\mathrm{SU}_3(q)\)
• Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs
• Finite simple groups with narrow prime spectrum.
• Thompson-like characterizations of the solvable radical.

This page was built for publication: On the automorphism group of an antipodal tight graph of diameter 4 with parameters \((5, 7, r)\)