Pattern Recognition on Oriented Matroids: K*-Vectors and Reorientations

Details Pattern Recognition on Oriented Matroids: K*-Vectors and Reorientations Pattern Recognition on Oriented Matroids: K*-Vectors and Reorientations

2010-10-09

arxiv.org/abs/1010.1836v2

Mathematics

Combinatorics

9 pages

Scientific paper

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.

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