arXiv 1008.41002010-08math.CO

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

Andrey O. Matveev

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

英文摘要：

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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