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arXiv · 1103.0039

On Volumes of Permutation Polytopes

Katherine Burggraf·Jesús A. De Loera·Mohamed Omar
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Abstract

This paper focuses on determining the volumes of permutation polytopes associated to cyclic groups, dihedral groups, groups of automorphisms of tree graphs, and Frobenius groups. We do this through the use of triangulations and the calculation of Ehrhart polynomials. We also present results on the theta body hierarchy of various permutation polytopes.

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Katherine Burggraf, Jesús A. De Loera, Mohamed Omar. 2011-02-28. On Volumes of Permutation Polytopes. https://arxiv.org/abs/1103.0039

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