Simple 0/1-polytopes (Q1964656)
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scientific article; zbMATH DE number 1406285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple 0/1-polytopes |
scientific article; zbMATH DE number 1406285 |
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Simple 0/1-polytopes (English)
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4 January 2001
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A polytope is said to be a 0/1-polytope if it has only vertices with 0/1-coordinates. A \(d\)-dimensional polytope is said to be simple if every of its vertices lies in \(d\)-facets. The authors show that the set of all simple 0/1-polytopes is very small. More precisely, they prove that every simple 0/1-polytope is the cartesian product of some 0/1-simplices.
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0/1-polytope
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cartesian product of 0/1-simplices
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star-partition
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hypercube
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