Department of Mathematics
On Volumes of Permutation Polytopes
- Author(s): Burggraf, Katherine
- De Loera, Jesús A.
- Omar, Mohamed
- et al.
Published Web Locationhttps://arxiv.org/pdf/1103.0039.pdf
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.