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- W2044162568 abstract "Several polynomials are of use in various enumeration problems concerning objects in oriented matroids. Chief among these is the Radon catalog. We continue to study these, as well as the total polynomials of uniform oriented matroids, by considering the effect on them of mutations of the uniform oriented matroid. The notion of a ``mutation polynomial'' is introduced to facilitate the study. The affine spans of the Radon catalogs and the total polynomials in the appropriate rational vector spaces of polynomials are determined, and bases for the Z -modules generated by the mutation polynomials are found. The Radon polynomials associated with alternating oriented matroids are described; it is conjectured that a certain extremal property, like that held by cyclic polytopes among simplicial polytopes, is possessed by them." @default.
- W2044162568 created "2016-06-24" @default.
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- W2044162568 date "2000-09-01" @default.
- W2044162568 modified "2023-09-27" @default.
- W2044162568 title "Mutation Polynomials and Oriented Matroids" @default.
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- W2044162568 doi "https://doi.org/10.1007/s004540010042" @default.
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