On symmetric and locally finite actions of groups on the quintic tree

DOI10.1016/j.disc.2013.07.004zbMath1408.05143OpenAlexW2018898983MaRDI QIDQ389471

G. L. Morgan

Publication date: 20 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2013.07.004

zbMATH Keywords

trees\(s\)-transitive graphs

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

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ON GRAPHS OF PRIME VALENCY ADMITTING A SOLVABLE ARC-TRANSITIVE GROUP ⋮ Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs ⋮ Pentavalent symmetric graphs of order \(2pqr\) ⋮ Locally bi-2-transitive graphs and cycle-regular graphs, and the answer to a 2001 problem posed by Fouquet and Hahn ⋮ On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs.

Cites Work

• A note on pentavalent \(s\)-transitive graphs
• A refined classification of symmetric cubic graphs
• On symmetric graphs of valency five
• The nonexistence of 8-transitive graphs
• Regular groups of automorphisms of cubic graphs
• Automorphism groups of symmetric graphs of valency 3
• Presentations for (G, s)-transitive graphs of small valency
• The group E₆(q) and graphs with a locally linear group of automorphisms
• Graphs with a locally linear group of automorphisms
• ARC TRANSITIVITY IN GRAPHS
• Amalgams Determined By Locally Projective Actions
• Automorphisms of trivalent graphs
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