Spectral distributions of adjacency and Laplacian matrices of random graphs
Spectral distributions of adjacency and Laplacian matrices of random graphs
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 eigenvalues of the adjacency and the Laplacian matrices; (ii) under some further independent conditions, the normalized …