Geodetic topological cycles in locally finite graphs
Combinatorics
2009-12-03 v1
Abstract
We prove that the topological cycle space C(G) of a locally finite graph G is generated by its geodetic topological circles. We further show that, although the finite cycles of G generate C(G), its finite geodetic cycles need not generate C(G).
Keywords
Cite
@article{arxiv.0911.3999,
title = {Geodetic topological cycles in locally finite graphs},
author = {Agelos Georgakopoulos and Philipp Sprüssel},
journal= {arXiv preprint arXiv:0911.3999},
year = {2009}
}
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