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

2020/11/30 by Matveev, Andrey O.
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.14690

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.

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