Georgakopoulos, Agelos; Sprussel, Philipp Geodetic topological cycles in locally finite graphs. (English) Zbl 1230.05219 Electron. J. Comb. 16, No. 1, Research Paper R144, 18 p. (2009). Summary: We prove that the topological cycle space \(\mathcal C(G)\) of a locally finite graph \(G\) is generated by its geodetic topological circles. We further show that, although the finite cycles of \(G\) generate \(\mathcal C(G)\), its finite geodetic cycles need not generate \(\mathcal C(G)\). Cited in 8 Documents MSC: 05C63 Infinite graphs 05C75 Structural characterization of families of graphs Keywords:topological cycle space; finite geodetic cycles PDFBibTeX XMLCite \textit{A. Georgakopoulos} and \textit{P. Sprussel}, Electron. J. Comb. 16, No. 1, Research Paper R144, 18 p. (2009; Zbl 1230.05219) Full Text: arXiv EuDML EMIS