Otto-von-Guericke-Universität Magdeburg

 
 
 
 
 
 
 
 

07-05

by David Bremner; Mathieu Dutour Sikiric; Achill Schürmann

 

Preprint series: 07-05, Preprints

MSC:
52B15 Symmetry properties of polytopes

 

Abstract: We give a short survey on computational techniques which can be used to solve the representation conversion problem for polyhedra up to symmetries. We in particular discuss decomposition methods, which reduce the problem to a number of lower dimensional subproblems. These methods have been successfully used by different authors in special contexts. Moreover, we sketch an incremental method, which is a generalization of Fourier-Motzkin elimination, and we give some ideas how symmetry can be exploited using pivots.

Keywords: representation conversion, polyhedra, symmetry


The author(s) agree, that this abstract may be stored asfull text and distributed as such by abstracting services.

Letzte Änderung: 10.02.2016 - Ansprechpartner: Pierre Krenzlin