Geodetic topological cycles in locally finite graphs
classification
🧮 math.CO
keywords
finitecyclesgeodetictopologicalgeneratelocallyalthoughcircles
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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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