The homology of a locally finite graph with ends

Abstract

We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology group of its Freudenthal compactification, and we characterize the graphs for which the two coincide. We construct a new singular-type homology for non-compact spaces with ends, which in dimension 1 captures precisely the topological… (More)
DOI: 10.1007/s00493-010-2481-7

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Cite this paper

@article{Diestel2010TheHO, title={The homology of a locally finite graph with ends}, author={Reinhard Diestel and Philipp Spr{\"u}ssel}, journal={Combinatorica}, year={2010}, volume={30}, pages={681-714} }