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 ...

Interest has centred recently on the application of the theory of directed graphs to social networks. Graph theory provides a vocabulary and a set of measures which enable the formal properties of a ...