Journal of the Royal Statistical Society. Series B (Statistical Methodology), Vol. 79, No. 5 (NOVEMBER 2017), pp. 1295-1366 (72 pages) Statistical network modelling has focused on representing the ...

In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random graphs. We prove that: (i) the law of large numbers for the spectral norms and the largest ...