The Annals of Applied Probability, Vol. 20, No. 6 (December 2010), pp. 2086-2117 (32 pages) In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random ...

The Annals of Applied Probability, Vol. 16, No. 1 (Feb., 2006), pp. 295-309 (15 pages) We consider the discrete Laplace operator $\Delta ^{(N)}$ on Erdős-Rényi random graphs with N vertices and edge ...

Graph curvature and Laplacian operators form a vibrant area of research at the intersection of differential geometry and graph theory. The concept of graph curvature, inspired by classical Ricci ...