Arc-transitive elementary Abelian covers of the octahedron graph

DOI10.1016/j.laa.2008.06.013zbMath1144.05310OpenAlexW1995006243MaRDI QIDQ947682

Ju-Mok Oh, Jin Ho Kwok

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.013

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 (6)

Edge-transitive regular metacyclic covers of the Petersen graph ⋮ Arc-transitive elementary abelian covers of the complete graph \(K_{5}\) ⋮ On cyclic regular covers of complete graphs of small order ⋮ Arc-transitive abelian regular covers of cubic graphs ⋮ Arc-transitive regular cyclic covers of the complete bipartite graph \(\mathsf{K}_{p,p}\) ⋮ Elementary abelian regular coverings of Platonic maps

Uses Software

• GAP

Cites Work

• Unnamed Item
• Elementary abelian covers of graphs
• On cubic graphs admitting an edge-transitive solvable group
• 2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\)
• Classifying cubic symmetric graphs of order \(10p\) or \(10p^{2}\)
• Cubic symmetric graphs of order a small number times a prime or a prime square
• Arc-transitive elementary abelian covers of the Pappus graph
• Isomorphisms and automorphisms of graph coverings
• Generating all graph coverings by permutation voltage assignments
• Regular maps from voltage assignments and exponent groups
• Automorphism groups of covering graphs
• Automorphisms of graphs and coverings
• \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\).
• Linear criteria for lifting automorphisms of elementary abelian regular coverings
• Cubic edge-transitive graphs of order 2\(p^{3}\)
• On \(2\)-arc-transitive covers of complete graphs
• Lifting graph automorphisms by voltage assignments
• The locally 2-arc transitive graphs admitting a Ree simple group
• Finite symmetric graphs with two-arc transitive quotients
• Regular embeddings of canonical double coverings of graphs
• On 2-fold covers of graphs
• Invariant subspaces, duality, and covers of the Petersen graph
• Classifying cubic symmetric graphs of order \(8p\) or \(8p^2\)
• Semisymmetric elementary Abelian covers of the Möbius-Kantor graph
• The finite vertex-primitive and vertex-biprimitive $s$-transitive graphs for $s\ge 4$
• How to give an Exposition of the Cech-Alexander-Spanier type Homology Theory
• Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces
• Analysing finite locally 𝑠-arc transitive graphs
• s‐Regular cubic graphs as coverings of the complete bipartite graph K_3,3
• A class of finite symmetric graphs with 2-arc transitive quotients
• One-regular cubic graphs of order a small number times a prime or a prime square
• Coverings of graphs and maps, orthogonality, and eigenvectors

This page was built for publication: Arc-transitive elementary Abelian covers of the octahedron graph