The distribution of sandpile groups of random graphs

We determine the distribution of the sandpile group (or Jacobian) of the Erdős-Rényi random graph G ( n , q ) G(n,q) as n n goes to infinity. We prove the distribution converges to a specific distribution conjectured by Clancy, Leake, and Payne. This distribution is related to, but different from, t... View More