Arc-transitive elementary abelian covers of the complete graph \(K_{5}\)

DOI10.1016/j.laa.2010.07.009zbMath1208.05113OpenAlexW2095469024MaRDI QIDQ603122

Boštjan Kuzman

Publication date: 5 November 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.009

zbMATH Keywords

complete graphsregular coversvoltage graphselementary Abelian covers

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (10)

Edge-transitive regular metacyclic covers of the Petersen graph ⋮ Lifting automorphisms along abelian regular coverings of graphs ⋮ On cyclic regular covers of complete graphs of small order ⋮ How to find \(G\)-admissible abelian regular coverings of a graph? ⋮ Arc-transitive abelian regular covers of cubic graphs ⋮ On the orders of arc-transitive graphs ⋮ Arc-transitive regular cyclic covers of the complete bipartite graph \(\mathsf{K}_{p,p}\) ⋮ Tetravalent arc-transitive graphs of order twice a product of two primes ⋮ Tetravalent edge-transitive Cayley graphs of Frobenius groups ⋮ Some computational aspects of solvable regular covers of graphs

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Elementary abelian covers of graphs
• 2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\)
• Tetravalent edge-transitive graphs of girth at most 4
• Cubic symmetric graphs of order a small number times a prime or a prime square
• Arc-transitive elementary Abelian covers of the octahedron graph
• Arc-transitive elementary abelian covers of the Pappus graph
• The Magma algebra system. I: The user language
• Automorphisms of graphs and coverings
• On \(2\)-arc-transitive covers of complete graphs
• Lifting graph automorphisms by voltage assignments
• Invariant subspaces, duality, and covers of the Petersen graph
• Semisymmetric elementary Abelian covers of the Möbius-Kantor graph

This page was built for publication: Arc-transitive elementary abelian covers of the complete graph \(K_{5}\)