On triangulations of the convex hull of n points (Q1062014)
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scientific article; zbMATH DE number 3911175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On triangulations of the convex hull of n points |
scientific article; zbMATH DE number 3911175 |
Statements
On triangulations of the convex hull of n points (English)
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1985
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Let S be a set of n points in d-dimensional real space. The authors consider the d-dimensional simplex T of smallest positive volume with vertices in S and the ratio of the volume of T to the volume of the convex hull of S. They prove that the maximum value of this ratio for all sets S is \((n-d)^{-1}\) and give criteria of optimal sets S.
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triangulations of the convex hull of n points
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