The vertex primitive and vertex bi-primitive \(s\)-arc regular graphs

DOI10.1016/j.jctb.2009.11.001zbMath1209.05122OpenAlexW1982177009MaRDI QIDQ974464

Cai Heng Li, Liang Niu, Seress, Ákos, Ronald M. Solomon

Publication date: 3 June 2010

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2009.11.001

zbMATH Keywords

primitive automorphism group\(s\)-arc regular graphbi-primitive \(s\)-arc regular graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75)

Related Items

Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs ⋮ Finite vertex-primitive and vertex-biprimitive 2-path-transitive graphs

Cites Work

• Symmetrical path-cycle covers of a graph and polygonal graphs
• Möbius regular maps
• Finite vertex primitive 2-arc regular graphs
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• The nonexistence of 8-transitive graphs
• Recent developments in half-transitive graphs
• Determination of a class of primitive permutation groups
• The finite vertex-primitive and vertex-biprimitive $s$-transitive graphs for $s\ge 4$
• Finite 𝑠-arc transitive Cayley graphs and flag-transitive projective planes
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