Fountoulakis, N., van der Hoorn, P., Müller, T. and Schepers, M.
Local clustering in a hyperbolic model for random graphs
One-sentence abstract: We derive a complete characterization of the asymptotic behavior, including the leading order constant, of the local clustering function in Hyperbolic Random Geometric graphs.
van der Hoorn, P., Lippner, G. and Mossel, E.
Entropy of random d-regular graph with given number of triangles
One-sentence abstract: Using an edge reveal technique, we derive the asymptotic behavior, including leading constant, of the entropy of random d-regular graphs with a given number of triangles.
van der Hoorn, P. and Lippner, G.
Ollivier curvature in almost dense random geometric graphs
One-sentence abstract: We study the notion of discrete curvature defined by Yann Ollivier in geometric graphs on Riemannian manifolds and prove that by proper re-scaling it converges to the Ricci curvature of the manifold.