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Asymptotic Estimates for the Number of Contingency Tables, Integer Flows, and Volumes of Transportation Polytopes

  • Published:2008-12-25 Issue:2 Volume:2009 Page:348-385
  • ISSN:1687-0247
  • Container-title:International Mathematics Research Notices
  • language:en
  • Short-container-title:

Author:

Barvinok Alexander

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference36 articles.

1. Counting integer flows in networks.;Baldoni-Silva;Foundations of Computational Mathematics,2004

2. Logarithmically concave functions and sections of convex sets in Rn.;Ball;Studia Mathematica,1988

3. An elementary introduction to modern convex geometry;Ball,1997

4. Brunn–Minkowski inequalities for contingency tables and integer flows.;Barvinok;Advances in Mathematics,2007

5. Enumerating contingency tables via random permanents.;Barvinok;Combinatorics, Probability and Computing,2008

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1. A quick estimate for the volume of a polyhedron;Israel Journal of Mathematics;2024-04-24

2. Lower bounds for contingency tables via Lorentzian polynomials;Israel Journal of Mathematics;2022-10-20

3. On the number of contingency tables and the independence heuristic;Bulletin of the London Mathematical Society;2022-02

4. Phase transition in random contingency tables with non-uniform margins;Transactions of the American Mathematical Society;2020-10-05

5. Bounds on Kronecker coefficients via contingency tables;Linear Algebra and its Applications;2020-10
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