Annals of Combinatorics

, Volume 4, Issue 1, pp 83–90

Four Questions on Birkhoff Polytope

DOI: 10.1007/PL00001277

Cite this article as:
Pak, I. Annals of Combinatorics (2000) 4: 83. doi:10.1007/PL00001277


We ask several questions on the structure of the polytope Pn of doubly stochastic n×n matrices, known as a Birkhoff polytope. We discuss the volume of Pn, the work of the simplex method, and the mixing of random walks on Pn.

Keywords: Birkhoff polytope, simplex method, random walk, symmetric group, mixing time

Copyright information

© Birkhäuser Verlag Basel, 2000

Authors and Affiliations

  • I. Pak
    • 1
  1. 1.Department of Mathematics, Yale University, New Haven, CT 06520, USA, e-mail: paki@math.yale.eduUS