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Xue Ding, Tiefeng Jiang, SPECTRAL DISTRIBUTIONS OF ADJACENCY AND LAPLACIAN MATRICES OF RANDOM GRAPHS, The Annals of Applied Probability, Vol. 20, No. 6 (December 2010), pp. 2086-2117 ...
In parallel, Laplacian operators – central to spectral graph theory – facilitate the study of diffusion processes, connectivity, and vibration modes within a network.