Constructing half-arc-transitive graphs of valency four with prescribed vertex stabilizers

DOI10.1007/s00373-016-1678-yzbMath1349.05168OpenAlexW2261273661MaRDI QIDQ343774

Pablo Spiga

Publication date: 29 November 2016

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-016-1678-y

zbMATH Keywords

concentric grouphalf-arc-transitivevalency four

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 (11)

The classification of half-arc-regular bi-circulants of valency 6 ⋮ Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs ⋮ Resolution of a conjecture about linking ring structures ⋮ Half-arc-transitive graphs of prime-cube order of small valencies ⋮ Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers ⋮ Finite 3-set-homogeneous graphs ⋮ Constructing infinitely many half-arc-transitive covers of tetravalent graphs ⋮ Bipartite edge-transitive bi-p-metacirculants ⋮ Lifting a prescribed group of automorphisms of graphs ⋮ Tetravalent half-arc-transitive graphs of order \(p^5\) ⋮ Locally bi-2-transitive graphs and cycle-regular graphs, and the answer to a 2001 problem posed by Fouquet and Hahn

Uses Software

• Magma

Cites Work

• Unnamed Item
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• Some recent discoveries about half-arc-transitive graphs
• ARC TRANSITIVITY IN GRAPHS

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