An infinite family of cubic one-regular graphs with unsolvable automorphism groups.

DOI10.1016/S0012-365X(03)00056-6zbMath1035.05047OpenAlexW2044404675MaRDI QIDQ1402085

Yan Quan Feng, Jin Ho Kwok

Publication date: 19 August 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(03)00056-6

zbMATH Keywords

Cayley graphsunsolvable groups

Mathematics Subject Classification ID

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

Related Items (7)

Symmetric cubic graphs with non-solvable automorphism groups ⋮ Constructing one-regular graphs of valency 4\(k\) with non-cyclic vertex stabilizer ⋮ Cubic symmetric graphs of order a small number times a prime or a prime square ⋮ A complete classification of cubic symmetric graphs of girth 6 ⋮ Lifting a prescribed group of automorphisms of graphs ⋮ Cubic symmetric graphs of order twice an odd prime-power ⋮ Connected cubic \(s\)-arc-regular Cayley graphs of finite nonabelian simple groups

Cites Work

• Maps and half-transitive graphs of valency 4
• Half-transitive group actions on finite graphs of valency 4
• Automorphism groups and isomorphisms of Cayley digraphs
• On 1-arc-regular graphs
• Remarks on path-transitivity in finite graphs
• Constructing infinite one-regular graphs
• The trivalent symmetric graphs of girth at most six
• [https://portal.mardi4nfdi.de/wiki/Publication:4344215 A �-transitive graph of valency 4 with a nonsolvable group of automorphisms]
• A One-Regular Graph of Degree Three
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An infinite family of cubic one-regular graphs with unsolvable automorphism groups.