Geodesic
Geodetic topological cycles in locally finite graphs
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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We prove that the topological cycle space ${\cal C}(G)$ of a locally finite graph $G$ is generated by its geodetic topological circles. We further show that, although the finite cycles of $G$ generate ${\cal C}(G)$, its finite geodetic cycles need not generate ${\cal C}(G)$.
DOI : 10.37236/233
Classification : 05C63, 05C75
Mots-clés : topological cycle space, finite geodetic cycles 
@article{10_37236_233,
     author = {Agelos Georgakopoulos and Philipp Spr\"ussel},
     title = {Geodetic topological cycles in locally finite graphs},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/233},
     zbl = {1230.05219},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/233/}
}
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Agelos Georgakopoulos; Philipp Sprüssel. Geodetic topological cycles in locally finite graphs. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/233

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