Article ID Journal Published Year Pages File Type
4654906 European Journal of Combinatorics 2006 8 Pages PDF
Abstract

This paper introduces the “odd–even invariant” of an oriented matroid. This is a nonnegative integer associated with the oriented matroid which does not change upon reorientation of the oriented matroid. As is shown here, it is also invariant under duality. Additional results are obtained, for uniform oriented matroids.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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The odd–even invariant of an oriented matroid
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