Asymptotic enumeration of sparse nonnegative integer matrices with specified row and column sums
Date
2008
Authors
Greenhill, Catherine
McKay, Brendan
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Elsevier
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
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Keywords: Asymptotic enumeration; Column sums; Contingency tables; Non-negative integer matrices; Non-negative integers; Switchings; Matrix algebra Asymptotic enumeration; Contingency tables; Non-negative integer matrices; Switchings
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Source
Advances in Applied Mathematics
Type
Journal article
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2037-12-31
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