Cyclohedron and Kantorovich–Rubinstein Polytopes

We show that the cyclohedron (Bott–Taubes polytope) W n arises as the polar dual of a Kantorovich–Rubinstein polytope K R ( ρ ) , where ρ is an explicitly described quasi-metric (asymmetric distance function) satisfying strict triangle inequality. From a broader perspective, this phenomenon illustra...

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Veröffentlicht in:	Arnold mathematical journal 2018-04, Vol.4 (1), p.87-112
Hauptverfasser:	Jevtić, Filip D., Jelić, Marija, Živaljević, Rade T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Deformation Mathematics Mathematics and Statistics Polytopes Research Contribution
Online-Zugang:	Volltext
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