Infinite highly arc transitive digraphs and universal covering digraphs

DOI10.1007/BF01303511zbMath0793.05065OpenAlexW2042285959WikidataQ56988322 ScholiaQ56988322MaRDI QIDQ1316644

Nicholas C. Wormald, Peter J. Cameron, Cheryl E. Praeger

Publication date: 24 March 1994

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01303511

zbMATH Keywords

automorphism groupdigraphhighly arc transitive

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Related Items

Crown-free highly arc-transitive digraphs ⋮ An infinite family of vertex-primitive 2-arc-transitive digraphs ⋮ Highly arc-transitive digraphs -- structure and counterexamples ⋮ Constructing highly arc transitive digraphs using a direct fibre product ⋮ Descendant-homogeneous digraphs ⋮ Finite edge-transitive oriented graphs of valency four: a global approach ⋮ The classification of finite and locally finite connected-homogeneous digraphs ⋮ Half-arc-transitive group actions with a small number of alternets ⋮ Sharply \(k\)-arc-transitive-digraphs: finite and infinite examples ⋮ Countable locally 2-arc-transitive bipartite graphs ⋮ Automorphism groups of \(k\)-arc transitive covers. ⋮ Infinite arc-transitive and highly-arc-transitive digraphs ⋮ Some constructions of highly arc-transitive digraphs ⋮ Horocyclic products of trees ⋮ Reachability relations in digraphs ⋮ On certain edge-transitive bicirculants ⋮ The classification of connected-homogeneous digraphs with more than one end ⋮ Transitive digraphs with more than one end ⋮ Highly arc transitive digraphs: reachability, topological groups ⋮ Descendants in infinite, primitive, highly arc-transitive digraphs ⋮ An infinite family of half-arc-transitive graphs with universal reachability relation ⋮ Locally-finite connected-homogeneous digraphs ⋮ Ranked highly-arc-transitive digraphs as colimits ⋮ \(k\)-CS-transitive infinite graphs ⋮ Classification of some countable descendant-homogeneous digraphs ⋮ Distance-transitive digraphs: descendant-homogeneity, property \(Z\) and reachability ⋮ Constructing continuum many countable, primitive, unbalanced digraphs ⋮ Vertex-primitive \(s\)-arc-transitive digraphs of alternating and symmetric groups ⋮ Infinite primitive and distance transitive directed graphs of finite out-valency

Cites Work

• Highly arc transitive digraphs
• Finite Permutation Groups and Finite Simple Groups
• Permutation Groups with Multiply Transitive Suborbits
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item