The maximum number of second smallest distances in finite planar sets (Q1189287)
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scientific article; zbMATH DE number 54915
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The maximum number of second smallest distances in finite planar sets |
scientific article; zbMATH DE number 54915 |
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The maximum number of second smallest distances in finite planar sets (English)
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26 September 1992
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Using linear optimization the author gives a bound on the maximum number of second smallest distances in an \(n\)-element point set. In the given bound the constant is best possible. Also a theorem which gives some structural information on the extremal sets is given.
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unit distances
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point sets in the plane
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linear optimization
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