Ollivier-Ricci curvature convergence in random geometric graphs
Ollivier-Ricci curvature convergence in random geometric graphs
Connections between continuous and discrete worlds tend to be elusive. One example is curvature. Even though there exist numerous nonequivalent definitions of graph curvature, none is known to converge in any limit to any traditional definition of curvature of a Riemannian manifold. Here we show that Ollivier curvature of random …