Fig. 1
From: Ricci curvature of random and empirical directed hypernetworks
Local structure of directed hypergraphs with positive, negative and zero values for both Ricci curvatures. For the given orange directed hyperedge e, O(e) and F(e) correspond to Ollivier and Forman curvatures respectively. From left to right we can detect changes in the signs for Ollivier curvature while the sign of Forman is fixed. On the other hand, when we move vertically in the plot, Forman’s sign change while Ollivier’s sign is fixed. In the diagonal, directed hyperedges have the same sign for both curvatures