Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs
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We consider a class of sparse random matrices which includes the adjacency matrix of the Erdős-Rényi graph G ( N , p ) . We show that if N ε ⩽ N p ⩽ N 1 / 3 - ε then all nontrivial eigenvalues away from 0 have asymptotically Gaus... ...
