Marchenko-pastur law for the spectrum of a random weighted bipartite graph

This study investigates the spectra of random weighted bipartite graphs. We establish that under specific assumptions on the edge probabilities, the empirical spectral distribution function of the graph's adjacency matrix converges to the symmetrized Marchenko-Pastur distribution function

УДК 519.214+519.177

Keywords: Random matrices, Marchenko-Pastur law, random bipartite graphs