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

Abstract

Let s, t, m, n be positive integers such that sm=tn. Define N(s,t;m,n) to be the number of m×n matrices with entries from {0,1}, such that each row sum is s and each column sum is t. Equivalently, N(s,t;m,n) is the number of labelled semiregular bipartit Show more