A new lower bound theorem for combinatorial \(2k\)-manifolds (Q1288518)
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scientific article; zbMATH DE number 1286721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new lower bound theorem for combinatorial \(2k\)-manifolds |
scientific article; zbMATH DE number 1286721 |
Statements
A new lower bound theorem for combinatorial \(2k\)-manifolds (English)
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6 December 1999
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Let \(h=(h_0,\dots,h_d)\) be the \(h\)-vector of a combinatorial \(2k\)-manifold \(M\) whose convex hull is a centrally symmetric polytope \(P\), \(M\) is a subcomplex of the boundary complex of \(P\), and \(M\) contains the \(k\)-skeleton of \(P\). The author proves a lower bound for \(h_{k+1}-h_k\).
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combinatorial manifolds
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centrally-symmetric polytopes
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cross-polytope
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tight combinatorial manifolds
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lower bound theorem
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