The convex hull of the integer points in a large ball (Q1271225)
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scientific article; zbMATH DE number 1221880
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The convex hull of the integer points in a large ball |
scientific article; zbMATH DE number 1221880 |
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The convex hull of the integer points in a large ball (English)
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6 December 1999
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The ``integer convex hull'' of the \(d\)-dimensional ball of radius \(r\) centered at the origin (denoted \(rB^d\)) is defined as \(P_r=conv(Z^d \cap rB^d)\). In this beautiful paper the authors write lower and upper bounds for the number of \(k\)-dimensional faces of \(P_r\). This extends previous work for the two dimensional case.
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integer hull
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\(f\)-vectors
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0.90301454
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0.90097696
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0.89104843
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