volume 33, issue 3, P445-462 2004
DOI: 10.1007/s00454-004-1114-6
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Abstract: It is possible to associate a valuation on the "orthant lattice" with each oriented matroid. In the case of uniform oriented matroids, it is not difficult to provide a characterization of the corresponding valuations. This is done here, thereby establishing a new characterization of the uniform oriented matroids themselves. Additionally, the connection between the valuations and the total polynomials associated with uniform oriented matroids is noted.

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