Automorphism groups of covering graphs

DOI10.1006/jctb.1997.1763zbMath0896.05030OpenAlexW2031855885MaRDI QIDQ1386475

Vladimir I. Trofimov, Norbert Seifter

Publication date: 1 October 1998

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.1997.1763

zbMATH Keywords

automorphism groupsCayley graphscovering graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (11)

Group actions, coverings and lifts of automorphisms ⋮ Cubic symmetric graphs of order a small number times a prime or a prime square ⋮ \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\). ⋮ Construction of one-regular graphs of valency 4 and 6. ⋮ Cubic one-regular graphs of order twice a square-free integer ⋮ Arc-transitive elementary Abelian covers of the octahedron graph ⋮ On 2-fold covers of graphs ⋮ Pentavalent One-regular Graphs of Square-free Order ⋮ Arc-transitive elementary abelian covers of the Pappus graph ⋮ Classifying cubic symmetric graphs of order \(8p\) or \(8p^2\) ⋮ Lifting graph automorphisms by voltage assignments

Cites Work

• Unnamed Item
• Constructing infinite one-regular graphs
• AUTOMORPHISMS OF GRAPHS AND A CHARACTERIZATION OF LATTICES
• Infinite Vertex-Transitive, Edge-Transitive Non-1-Transitive Graphs
• Vertex and Edge Transitive, but not 1-Transitive, Graphs
• A family of one-regular graphs of valency 4

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