Onion Skins in Oriented Matroid

Gerards, Bert and Hochstättler, 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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Deposit Information:
ZAIK Number: zpr93-138
Depositing User: Winfried Hochstättler
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