Asymptotic enumeration of sparse 0-1 matrices with irregular row and column sums

Greenhill, Catherine; McKay, Brendan; Wang, Xiaoji

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Asymptotic enumeration of sparse 0-1 matrices with irregular row and column sums

Date

2006

Authors

Greenhill, Catherine

McKay, Brendan

Wang, Xiaoji

Publisher

Academic Press

Abstract

Let s = (s1,..., sm) and t = (t1,..., tn) be vectors of non-negative integer-valued functions with equal sum S = ∑i=1m si = ∑j=1n tj. Let N(s, t) be the number of m × n matrices with entries from {0, 1} such that the ith row has row sum si and the jt