The University of Michigan Combinatorics Seminar


Abstract 

Matrices with 01 entries and prescribed row and column sums is a classical object in combinatorics. In this talk, I'll present a new (and only) asymptotic formula for the number of such matrices and describe what a random 01 matrix with prescribed row and column sums looks like. Depending on the wishes of the audience, I can either sketch a proof or describe what changes if instead of 01 matrices we consider nonnegative integer matrices. 