Connectivity of infinite graphs having a transitive torsion group action

DOI10.1007/BF01224935zbMath0416.05056OpenAlexW2007591522MaRDI QIDQ754229

László Babai, Mark E. Watkins

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224935

zbMATH Keywords

automorphism groupCayley graphsconnectivityinfinite graphsfinitely generated grouplocally finitetransitive torsion group actiontransitive torsion subgroup

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graph theory (05C99) Connectivity (05C40)

Related Items (9)

On fixing boundary points of transitive hyperbolic graphs ⋮ A note on fragments of infinite graphs ⋮ Some results on ends and automorphisms of graphs ⋮ Bounds on connective constants of regular graphs ⋮ The Hadwiger number of infinite vertex-transitive graphs ⋮ Metric ends, fibers and automorphisms of graphs ⋮ A note on the growth of transitive graphs ⋮ Cutting up graphs ⋮ Fragments and automorphisms of infinite graphs

Cites Work

• The composition of graphs
• On the connectivities of finite and infinite graphs
• Automorphism groups of graphs and edge-contraction
• Über den Zusammenhang symmetrischer Graphen
• Automorphisms and endomorphisms of infinite locally finite graphs
• Graphs with Given Group and Given Graph-Theoretical Properties
• Connectivity of transitive graphs
• Graphs of Degree Three with a Given Abstract Group
• Unnamed Item
• Unnamed Item

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