Ends of graphs. II

DOI10.1017/S0305004100075551zbMath0755.05077OpenAlexW2068946620MaRDI QIDQ4008584

Rögnvaldur G. Möller

Publication date: 27 September 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100075551

zbMATH Keywords

ends of graphstransitive group of automorphismslocally finite connected graphs

Mathematics Subject Classification ID

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

Related Items (21)

Boundary and entropy of space homogeneous Markov chains ⋮ CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS ⋮ Primitivity and ends of graphs ⋮ Bilateral denseness of the hyperbolic limit points of groups acting on metric spaces ⋮ Vertex Cuts ⋮ A Stallings type theorem for quasi-transitive graphs ⋮ Group actions on metric spaces: fixed points and free subgroups ⋮ Boundaries of dense subgroups of totally disconnected groups ⋮ The fundamental group of a locally finite graph with ends ⋮ On fixing boundary points of transitive hyperbolic graphs ⋮ The homology of a locally finite graph with ends ⋮ A descriptive construction of trees and Stallings’ theorem ⋮ Analogues of Cayley graphs for topological groups ⋮ Groups acting on semimetric spaces and quasi-isometries of monoids ⋮ Amenable actions preserving a locally finite metric ⋮ End-transitive graphs ⋮ Orbital digraphs of infinite primitive permutation groups ⋮ Quasi-isometries between non-locally-finite graphs and structure trees ⋮ Rational discrete first degree cohomology for totally disconnected locally compact groups ⋮ Cycle-free partial orders and ends of graphs ⋮ Cutting up graphs revisited – a short proof of Stallings' structure theorem

Cites Work

• Boundaries of random walks on graphs and groups with infinitely many ends
• Amenability, unimodularity, and the spectral radius of random walks on infinite graphs
• Infinite paths that contain only shortest paths
• Amenable group actions on infinite graphs
• A note on fragments of infinite graphs
• Topological groups and infinite graphs
• Harmonic functions and ends of graphs

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