Geodetic topological cycles in locally finite graphs

Details Geodetic topological cycles in locally finite graphs Geodetic topological cycles in locally finite graphs

2009-11-20

arxiv.org/abs/0911.3999v1

Electronic Journal of Combinatorics 16 (2009), #R144

Mathematics

Combinatorics

17

Scientific paper

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).

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