On Volumes of Permutation Polytopes
Combinatorics
2011-03-02 v1
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.
Keywords
Cite
@article{arxiv.1103.0039,
title = {On Volumes of Permutation Polytopes},
author = {Katherine Burggraf and Jesús A. De Loera and Mohamed Omar},
journal= {arXiv preprint arXiv:1103.0039},
year = {2011}
}
Comments
19 pages, 1 figure