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

Greenhill, Catherine; McKay, Brendan


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

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Advances in Applied Mathematics
DOI: 10.1016/j.aam.2008.01.002


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