Barycentric subdivisions (Q1092468)
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scientific article; zbMATH DE number 4020020
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Barycentric subdivisions |
scientific article; zbMATH DE number 4020020 |
Statements
Barycentric subdivisions (English)
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1988
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A characterization is given of simplicial polytopes that are barycentric subdivisions of regular CW spheres. It is shown that barycentric subdivisions of connected polyhedral complexes with at least two facets determine the underlying complex uniquely up to duality. Connections with the algorithmic theory of comparability graphs are discussed. The f- vectors of regular CW spheres are characterized.
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simplicial polytopes
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barycentric subdivisions of regular CW spheres
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algorithmic theory of comparability graphs
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posets
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