Matrices with prescribed row and column sums

Details Matrices with prescribed row and column sums Matrices with prescribed row and column sums

2010-10-27

arxiv.org/abs/1010.5706v1

Mathematics

Combinatorics

30 pages

Scientific paper

This is a survey of the recent progress and open questions on the structure
of the sets of 0-1 and non-negative integer matrices with prescribed row and
column sums. We discuss cardinality estimates, the structure of a random matrix
from the set, discrete versions of the Brunn-Minkowski inequality and the
statistical dependence between row and column sums.

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