Polyhedral representation conversion up to symmetries

Details Polyhedral representation conversion up to symmetries Polyhedral representation conversion up to symmetries

2007-02-09

arxiv.org/abs/math/0702239v2

CRM Proceedings & Lecture Notes 48, AMS, 2009, pp. 45-71

Mathematics

Metric Geometry

25 pages, 9 figures; second version with some minor corrections, esp. to Section 7

Scientific paper

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.

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