The lower and upper bound problems for cubical polytopes (Q1209839)
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scientific article; zbMATH DE number 168599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The lower and upper bound problems for cubical polytopes |
scientific article; zbMATH DE number 168599 |
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The lower and upper bound problems for cubical polytopes (English)
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16 May 1993
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Recall that a cubical polytope is a polytope whose all facets are combinatorial cubes. The author presents a family of cubical polytopes for which the number of facets is very large in comparison to the number of vertices. The number is higher than a number conjectured by Kalai, Perles and Stanley. He also constructs a family of cubical polytopes with a small number of facets and formulates a lower bound conjecture for the number of facets of a cubical polytope.
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vertex
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cubical polytopes
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number of facets
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0.9237385
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0.91637635
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0.9023614
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0.90203804
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0.90172577
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0.8985931
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0.89856005
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