Determining a matroid polytope by non-Radon partitions (Q1090334)

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scientific article; zbMATH DE number 4006285
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Determining a matroid polytope by non-Radon partitions
scientific article; zbMATH DE number 4006285

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    Determining a matroid polytope by non-Radon partitions (English)
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    1987
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    Intrinsic characterizations of the faces of a matroid polytope from various subcollections of circuits or the family of its non-Radon partitions are given. Furthermore, it is proved that the characterization from the family of non-Radon partitions is strong enough to give algorithms for determining the faces of every nonsingular permissible projective transformation of a convex polytope.
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    matroid polytope
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    non-Radon partitions
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    convex polytope
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