On finite multiple packings (Q1124121)
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scientific article; zbMATH DE number 4111459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On finite multiple packings |
scientific article; zbMATH DE number 4111459 |
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On finite multiple packings (English)
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1990
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The paper deals with the following problem: Given positive integers k, m, how should k open unit balls in Euclidean d-space be arranged such that no \(m+1\) balls intersect so as to minimize the volume of their convex hull? It is shown that as in the case \(m=1\) linear arrangements are optimal at least up to a constant.
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sphere-packings
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minimization of volume
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