Pattern Recognition on Oriented Matroids: Subtopes and Decompositions of (Sub)topes

Andrey O. Matveev

Published 2020-11-30Version 1

For a symmetric 2t-cycle in the tope graph of a simple oriented matroid M on the ground set {1,...,t}, where t is even, we describe decompositions of topes and subtopes of M with respect to the subtopes corresponding to the edges of the symmetric cycle.