On symmetries of Cayley graphs and the graphs underlying regular maps

DOI10.1016/j.jalgebra.2008.04.016zbMath1169.05019OpenAlexW2028247432MaRDI QIDQ834823

Marston D. E. Conder

Publication date: 27 August 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.04.016

zbMATH Keywords

automorphism groupCayley graphcubic graphregular mapsymmetric graphtrivalent graph

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 (10)

Symmetric cubic graphs with non-solvable automorphism groups ⋮ A radius 1 irreducibility criterion for lattices in products of trees ⋮ Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups ⋮ Arc-transitive trivalent Cayley graphs ⋮ Maximal harmonic group actions on finite graphs ⋮ Finite edge-transitive Cayley graphs and rotary Cayley maps ⋮ A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2) ⋮ Tetravalent 2-arc-transitive Cayley graphs on non-abelian simple groups ⋮ Cubic \(s\)-arc transitive Cayley graphs ⋮ Cubic core-free symmetric \(m\)-Cayley graphs

Uses Software

• Magma

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