Smallest compact formulation for the permutahedron
نویسندگان
چکیده
منابع مشابه
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 (AKS) sorting network, this extended formulation has Θ(n log n) variables and inequalities. Furthermore, from basic polyhedral arguments, we show that this is be...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2014
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-014-0757-1