Pattern Recognition on Oriented Matroids: Subtopes and Decompositions of (Sub)topes
Combinatorics
2021-06-17 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2011.14690,
title = {Pattern Recognition on Oriented Matroids: Subtopes and Decompositions of (Sub)topes},
author = {Andrey O. Matveev},
journal= {arXiv preprint arXiv:2011.14690},
year = {2021}
}
Comments
11 pages, 1 figure. v.2 - minor improvements; v.3 - Prop. 4.1(ii) adjusted