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Orientable cut locus structures on graphs
Published 16 Mar 2011 in math.DG and cs.DM | (1103.3136v1)
Abstract: We showed in another paper [arXiv:1103.1759] that every connected graph can be realized as the cut locus of some point on some riemannian surface $S$. Here, criteria for the orientability of $S$ are given, and are applied to classify the distinct, orientable, cut locus structures on graphs with four generating cycles.
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