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math.DG2011★ 6 cited
Orientable cut locus structures on graphs
Jin-ichi Itoh, Costin Vîlcu
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 . Here, criteria for the orient…
math.DG2011★ 3 cited
Every graph is a cut locus
Jin-ichi Itoh, Costin Vîlcu
We prove that every connected graph can be realized as the cut locus of some point on some Riemannian surface which, in some cases, has constant curvature. We study the stabili…