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 this thesis, we study sampling and weighted counting of bipartite matchings and directed acyclic graphs (DAGs). The total weight of perfect matchings of a bipartite graph equals the permanent of ...