Smallest Compact Formulation for the Permutahedron

In this note, we consider the permutahedron, the convex hull of all permutations of {1,2…,n} . We show how to obtain an extended formulation for this polytope from any sorting network. By using the optimal Ajtai–Komlós–Szemerédi sorting network, this extended formulation has Θ(nlogn) variables and i...

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Podrobná bibliografie
Hlavní autor: Goemans, Michel X.
Další autoři: Massachusetts Institute of Technology. Department of Mathematics
Médium: Článek
Jazyk:en_US
Vydáno: Springer-Verlag 2014
On-line přístup:http://hdl.handle.net/1721.1/87079
https://orcid.org/0000-0002-0520-1165