The existence of nonconstant harmonic functions on infinite vertex-symmetric graphs

DOI10.1006/EUJC.1997.0196zbMath0906.05028OpenAlexW2040610733MaRDI QIDQ1266365

Vladimir I. Trofimov

Publication date: 14 February 1999

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

Full work available at URL: https://doi.org/10.1006/eujc.1997.0196

zbMATH Keywords

locally finite graphnonconstant harmonic functionsrecurrent graphstransient graphsvertex-symmetric graphs

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

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