The homology of a locally finite graph with ends

DOI10.1007/s00493-010-2481-7zbMath1240.05222OpenAlexW2000116379MaRDI QIDQ653838

Philipp Sprüssel, Reinhard Diestel

Publication date: 19 December 2011

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00493-010-2481-7

zbMATH Keywords

graph homologyFreudenthal compactificationtopological cycle spacefirst singular homology

Mathematics Subject Classification ID

Singular homology and cohomology theory (55N10) Infinite graphs (05C63)

Related Items (8)

One-dimensional Peano continua with zero-dimensional wild part ⋮ Axioms for infinite matroids ⋮ On prisms, Möbius ladders and the cycle space of dense graphs ⋮ The homology of a locally finite graph with ends ⋮ Cycle decompositions: from graphs to continua ⋮ Locally finite graphs with ends: a topological approach. III. Fundamental group and homology ⋮ On the homology of locally compact spaces with ends ⋮ Orthogonality and minimality in the homology of locally finite graphs

Cites Work

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• Bases and closures under infinite sums
• On infinite cycles. I, II
• The homology of a locally finite graph with ends
• The cycle space of a 3-connected locally finite graph is generated by its finite and infinite peripheral circuits
• A proof of the bounded graph conjecture
• Vertex-transitive graphs and accessibility
• Graph-theoretical versus topological ends of graphs.
• The combinatorial structure of the Hawaiian earring group
• Topological paths, cycles and spanning trees in infinite graphs
• Graph-like continua, augmenting arcs, and Menger's theorem
• Über unendliche Wege in Graphen
• On end degrees and infinite cycles in locally finite graphs
• MacLane's planarity criterion for locally finite graphs
• Arboricity and tree-packing in locally finite graphs
• Infinite Hamilton cycles in squares of locally finite graphs
• Neuaufbau der Endentheorie
• Normal Spanning Trees, Aronszajn Trees and Excluded Minors
• Duality in Infinite Graphs
• Ends of graphs
• Ends of graphs. II
• The Cycle Space of an Infinite Graph
• Random Walks on Infinite Graphs and Groups
• Wurzelbäume und unendliche Wege in Graphen
• Cycle‐cocycle partitions and faithful cycle covers for locally finite graphs

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