Bridging semisymmetric and half-arc-transitive actions on graphs

DOI10.1006/eujc.2002.0588zbMath1014.05031OpenAlexW2085120988MaRDI QIDQ1864586

Dragan Marušič, Primož Potočnik

Publication date: 18 March 2003

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

Full work available at URL: https://semanticscholar.org/paper/2bbb3126cc9708ad0c3e9815758a5618521c9f22

zbMATH Keywords

digraphssemisymmetric graphsvertex-transitive graphsedge-transitive graphsarc-transitive graphs\(\frac{1}{2}\)-arc-transitive graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (9)

On the vertex-stabiliser in arc-transitive digraphs ⋮ On tetravalent half-arc-transitive graphs of girth 5 ⋮ Recipes for edge-transitive tetravalent graphs ⋮ Reachability relations in digraphs ⋮ Four Constructions of Highly Symmetric Tetravalent Graphs ⋮ The separated box product of two digraphs ⋮ An infinite family of half-arc-transitive graphs with universal reachability relation ⋮ ON THE ORDER OF ARC-STABILIZERS IN ARC-TRANSITIVE GRAPHS ⋮ Homogeneous factorisations of graphs and digraphs

Uses Software

• Magma

Cites Work

• Regular groups of automorphisms of cubic graphs
• Maps and half-transitive graphs of valency 4
• Half-transitive group actions on finite graphs of valency 4
• Tetravalent graphs admitting half-transitive group actions: Alternating cycles
• Vertex-primitive graphs of order a product of two distinct primes
• On edge but not vertex transitive regular graphs
• [https://portal.mardi4nfdi.de/wiki/Publication:4344215 A �-transitive graph of valency 4 with a nonsolvable group of automorphisms]
• A classification of semisymmetric graphs of order 2pq
• Finite graphs of valency 4 and girth 4 admitting half-transitive group actions
• Regular line-symmetric graphs
• An Edge but not Vertex Transitive Cubic Graph^*
• On the Classification of Symmetric Graphs with a Prime Number of Vertices
• A One-Regular Graph of Degree Three
• Semisymmetry of generalized Folkman graphs
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