Asymptotic enumeration of sparse nonnegative integer matrices with specified row and column sums

Abstract

Let s = (s1, ..., sm) and t = (t1, ..., tn) be vectors of nonnegative integer-valued functions of m, n with equal sum S = ∑i = 1m si = ∑j = 1n tj. Let M (s, t) be the number of m × n matrices with nonnegative integer entries such that the ith row has Show more