Linking rings structures and semisymmetric graphs: Cayley constructions

DOI10.1016/j.ejc.2015.05.004zbMath1321.05114OpenAlexW2346735968MaRDI QIDQ499450

Primož Potočnik, Stephen E. Wilson

Publication date: 30 September 2015

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2015.05.004

zbMATH Keywords

vertex-transitive graphLR structure

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Related Items (4)

Resolution of a conjecture about linking ring structures ⋮ Recipes for edge-transitive tetravalent graphs ⋮ Linking rings structures and semisymmetric graphs: Combinatorial constructions ⋮ The separated box product of two digraphs

Uses Software

• Magma

Cites Work

• Tetravalent edge-transitive graphs of girth at most 4
• Semisymmetric graphs from polytopes
• A classification of tightly attached half-arc-transitive graphs of valency 4
• Half-transitive group actions on finite graphs of valency 4
• The Magma algebra system. I: The user language
• Cubic vertex-transitive graphs on up to 1280 vertices
• A census of semisymmetric cubic graphs on up to 768 vertices
• Classification of half-arc-transitive graphs of order \(4p\)
• On edge but not vertex transitive regular graphs
• Linking rings structures and tetravalent semisymmetric graphs
• A Class of semisymmetric graphs
• Finite graphs of valency 4 and girth 4 admitting half-transitive group actions
• An infinite series of regular edge- but not vertex-transitive graphs
• A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
• Some recent discoveries about half-arc-transitive graphs
• Regular line-symmetric graphs

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