Locally finite graphs with ends: a topological approach. III. Fundamental group and homology

DOI10.1016/j.disc.2011.02.007zbMath1233.05139arXiv1004.0110OpenAlexW1970691507MaRDI QIDQ658014

Philipp Sprüssel, Reinhard Diestel

Publication date: 11 January 2012

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

Full work available at URL: https://arxiv.org/abs/1004.0110

zbMATH Keywords

endslocally finite graphstopological circlestopological arcs

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Infinite graphs (05C63)

Related Items (10)

Extending cycles locally to Hamilton cycles ⋮ One-dimensional Peano continua with zero-dimensional wild part ⋮ Labeled trees generating complete, compact, and discrete ultrametric spaces ⋮ Hamiltonian decompositions of 4‐regular Cayley graphs of infinite abelian groups ⋮ Excluding a full grid minor ⋮ The Lovász-Cherkassky theorem for locally finite graphs with ends ⋮ Dual trees must share their ends ⋮ Forcing finite minors in sparse infinite graphs by large-degree assumptions ⋮ Locally finite graphs with ends: A topological approach. II: Applications ⋮ Locally finite graphs with ends: A topological approach. I: Basic theory

Cites Work

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• On infinite cycles. I, II
• The fundamental group of a locally finite graph with ends
• The homology of a locally finite graph with ends
• Locally finite graphs with ends: A topological approach. II: Applications
• Locally finite graphs with ends: A topological approach. I: Basic theory

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