Highly arc transitive digraphs

DOI10.1016/S0195-6698(89)80064-2zbMath0677.05041OpenAlexW2049716816MaRDI QIDQ1123206

Cheryl E. Praeger

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/s0195-6698(89)80064-2

zbMATH Keywords

almost simple groupautomorphism group of a graphs-arc transitive digraph

Mathematics Subject Classification ID

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

Related Items (27)

Pentavalent 1-transitive digraphs with non-solvable automorphism groups ⋮ Vertex-quasiprimitive 2-arc-transitive digraphs ⋮ On isomorphisms of connected Cayley graphs ⋮ On the vertex-stabiliser in arc-transitive digraphs ⋮ An infinite family of vertex-primitive 2-arc-transitive digraphs ⋮ On isomorphisms of connected Cayley graphs. II ⋮ An infinite family of sharply two-arc transitive digraphs ⋮ On \(s\)-arc transitive hypergraphs ⋮ Vertex-primitive \(s\)-arc-transitive digraphs admitting a Suzuki or Ree group ⋮ On the number of fixed edges of automorphisms of vertex-transitive graphs of small valency ⋮ Highly arc-transitive digraphs with non-isomorphic local actions ⋮ On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\) ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ Finite edge-transitive oriented graphs of valency four: a global approach ⋮ The smallest vertex-primitive 2-arc-transitive digraph ⋮ Sharply \(k\)-arc-transitive-digraphs: finite and infinite examples ⋮ Automorphism groups of \(k\)-arc transitive covers. ⋮ Smallest tetravalent half-arc-transitive graphs with the vertex-stabiliser isomorphic to the dihedral group of order 8 ⋮ Transitive digraphs with more than one end ⋮ Elusive groups of automorphisms of digraphs of small valency ⋮ Locally-finite connected-homogeneous digraphs ⋮ \(k\)-CS-transitive infinite graphs ⋮ On the number of fixed points of automorphisms of vertex-transitive graphs ⋮ Endo-circulant digraphs: Connectivity and generalized cycles ⋮ De Bruijn digraphs and affine transformations ⋮ Vertex-primitive \(s\)-arc-transitive digraphs of alternating and symmetric groups ⋮ Infinite highly arc transitive digraphs and universal covering digraphs

Cites Work

• A characterization of a class of symmetric graphs of twice prime valency
• Distance transitive digraphs
• Distance-transitive and distance-regular digraphs
• The nonexistence of 8-transitive graphs
• Distance Transitive Graphs and Finite Simple Groups
• Finite Permutation Groups and Finite Simple Groups
• Permutation Groups with Multiply Transitive Suborbits
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