Pattern Recognition on Oriented Matroids: Halfspaces, Convex Sets and Tope Committees

Details Pattern Recognition on Oriented Matroids: Halfspaces, Convex Sets and Tope Committees Pattern Recognition on Oriented Matroids: Halfspaces, Convex Sets and Tope Committees

2010-08-24

arxiv.org/abs/1008.4100v4

Mathematics

Combinatorics

15 pages; v.2 - minor improvements, v.3,4 - new Section 7 and references added

Scientific paper

The principle of inclusion-exclusion is applied to subsets of maximal
covectors contained in halfspaces of a simple oriented matroid and to convex
subsets of its ground set for enumerating tope committees.

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