Title
Polytopes associated to dihedral groups
Abstract
In this note we investigate the convex hull of those n x 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.
Year
Venue
Keywords
2014
ARS MATHEMATICA CONTEMPORANEA
Permutation polytopes,dihedral groups,lattice polytopes
Field
DocType
Volume
Topology,Discrete mathematics,Combinatorics,Dihedral group,Permutation matrix,Convex hull,Polytope,Facet (geometry),Homogeneous space,Polyhedral combinatorics,Mathematics,Regular polytope
Journal
7
Issue
ISSN
Citations 
SP1
1855-3966
0
PageRank 
References 
Authors
0.34
6
4
Name
Order
Citations
PageRank
barbara baumeister100.34
christian haase211.11
Benjamin Nill3409.08
Andreas Paffenholz4356.22