A classification of cubic \(s\)-regular graphs of order 16\(p\)

DOI10.1016/j.disc.2008.09.001zbMath1177.05052OpenAlexW2922234912MaRDI QIDQ1025934

Ju-Mok Oh

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.09.001

zbMATH Keywords

covering graphcubic \(s\)-regular graphthe Möbius-Kantor graph

Mathematics Subject Classification ID

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

Related Items (11)

Pentavalent symmetric graphs of order twice a prime power ⋮ Cubic edge-transitive graphs of order \(2^np\) ⋮ A classification of cubic symmetric graphs of order \(16p^2\) ⋮ Cubic symmetric graphs of order \(8p^3\) ⋮ Pentavalent symmetric graphs of order \(2pqr\) ⋮ Pentavalent symmetric graphs of order \(2pq\) ⋮ Edge-transitive cyclic regular covers of the Möbius-Kantor graph ⋮ Pentavalent symmetric graphs of order 16p ⋮ Prime-valent arc-transitive basic graphs with order 4 p or 4 p 2 ⋮ Arc-transitive elementary abelian covers of the Pappus graph ⋮ Unnamed Item

Uses Software

• GAP
• Magma

Cites Work

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• On the Symmetry of Cubic Graphs
• Vertex-transitive graphs: Symmetric graphs of prime valency
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• [https://portal.mardi4nfdi.de/wiki/Publication:4344215 A �-transitive graph of valency 4 with a nonsolvable group of automorphisms]
• One-regular cubic graphs of order a small number times a prime or a prime square
• Cubic s‐regular graphs of order 2p³
• Coverings of graphs and maps, orthogonality, and eigenvectors

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