Greenhill, CatherineMcKay, Brendan2015-12-100895-4801http://hdl.handle.net/1885/66223Let J and J be subsets of N such that 0, 1 J and 0 J. For infinitely many n, let k = (k1, . . . , kn) be a vector of nonnegative integers whose sum M is even. We find an asymptotic expression for the number of multigraphs on the vertex set {1, . . . ,n} w201310.1137/1309134192015-12-10