Pattern Recognition on Oriented Matroids: K*-Vectors and Reorientations
Combinatorics
2010-10-19 v2
Abstract
The components of K*-vectors associated to a simple oriented matroid M are the numbers of general or special tope committees for M. Using the principle of inclusion-exclusion, we determine how the reorientations of M on one-element subsets of its ground set affect K*-vectors.
Keywords
Cite
@article{arxiv.1010.1836,
title = {Pattern Recognition on Oriented Matroids: K*-Vectors and Reorientations},
author = {Andrey O. Matveev},
journal= {arXiv preprint arXiv:1010.1836},
year = {2010}
}
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9 pages