Geodetic Topological Cycles in Locally Finite Graphs

Agelos Georgakopoulos, Philipp Sprüssel
2009 Electronic Journal of Combinatorics  
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 fatcat:ofp2dnzemzcutfrjjikxpdpute