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arXiv · 1103.1759

Every graph is a cut locus

Jin-ichi Itoh·Costin Vîlcu
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Abstract

We prove that every connected graph can be realized as the cut locus of some point on some Riemannian surface $S$ which, in some cases, has constant curvature. We study the stability of such realizations, and their generic behavior.

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Jin-ichi Itoh, Costin Vîlcu. 2011-03-09. Every graph is a cut locus. https://arxiv.org/abs/1103.1759

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