Classification of cubic vertex-transitive tricirculants

DOI10.26493/1855-3974.1815.b52zbMath1444.05152arXiv1812.04153OpenAlexW3010896731MaRDI QIDQ3298116

Primož Potočnik, Micael Toledo

Publication date: 21 July 2020

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04153

zbMATH Keywords

vertex-transitivitycubictricirculantsemiregular automorphism

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Group actions on combinatorial structures (05E18)

Related Items (6)

Semiregular elements in transitive 2-closed permutation groups of certain degrees ⋮ Generalised voltage graphs ⋮ Symmetries in graphs via simplicial automorphisms ⋮ Cubic vertex-transitive graphs admitting automorphisms of large order ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ Finite cubic graphs admitting a cyclic group of automorphism with at most three orbits on vertices

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of cubic symmetric tricirculants
• Classification of cubic symmetric tetracirculants and pentacirculants
• Elementary abelian covers of graphs
• A classification of cubic bicirculants
• On vertex symmetric digraphs
• Permutation groups, vertex-transitive digraphs and semiregular automorphisms
• Lifting graph automorphisms by voltage assignments
• Semiregular automorphisms in vertex-transitive graphs of order \(3p^2\)
• Cubic vertex-transitive graphs on up to 1280 vertices
• Cubic arc-transitive \(k\)-multicirculants
• Semiregular automorphisms of vertex-transitive cubic graphs
• Semiregular elements in cubic vertex-transitive graphs and the restricted Burnside problem
• Transitive Permutation Groups Without Semiregular Subgroups
• Semiregular automorphisms in vertex-transitive graphs with a solvable group of automorphisms
• Girth-regular graphs
• Vertex-transitive graphs and their arc-types

This page was built for publication: Classification of cubic vertex-transitive tricirculants