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26 April 2024
 
  » arxiv » 1212.4442

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Polytopes associated to Dihedral Groups
Barbara Baumeister ; Christian Haase ; Benjamin Nill ; Andreas Paffenholz ;
Date 18 Dec 2012
AbstractIn this note we investigate the convex hull of those $n imes n$-permutation matrices that correspond to symmetries of a regular $n$-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart $h^*$-vector.
Source arXiv, 1212.4442
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