# Onion Skins in Oriented Matroid

Gerards, Bert and HochstÃ¤ttler, Winfried
(1993)
*Onion Skins in Oriented Matroid.*

Technical Report
, 5 p.

## Abstract

We generalize the following theorem to oriented matroids: Consider a polytope P and a facet F0 of P, let H denote the hyperplanes spanned by F0. Let d denote the diameter of the coskeleton of P. To each facet choose a defining inequality and let these set of inequalities Fscr be partitioned by the distance of the corresponding facets to F0 in the coskeleton of P into Fscr = cup_{i=0}^d Fscr_i. Let ilde P_i denote the polyhedron defined by the inequalities Fscr_i and set P_i := ilde P_i cup H. Then for all i<d: P_i subset P_{i+1}.

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ZAIK Number: | zpr93-138 |
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Depositing User: | Winfried HochstÃ¤ttler |

Date Deposited: | 02 Apr 2001 00:00 |

Last Modified: | 19 Dec 2011 09:46 |

URI: | http://e-archive.informatik.uni-koeln.de/id/eprint/138 |