We show 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.
展开▼
机译：我们表明，每个相连的图都可以实现为某些黎曼曲面 S 上某个点的切割轨迹，在某些情况下，该点具有恒定的曲率。我们研究了这种实现的稳定性及其一般行为。
展开▼
