An upper bound for the minimum diameter of integral point sets (Q1802223)
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scientific article; zbMATH DE number 203064
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An upper bound for the minimum diameter of integral point sets |
scientific article; zbMATH DE number 203064 |
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An upper bound for the minimum diameter of integral point sets (English)
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16 June 1993
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For \(n>d\) there exist \(n\) points in the Euclidean space \(E^ d\) in general position such that all mutual distances are integral. Improving an earlier bound, the authors show that the minimal diameter of such point sets has an upper bound of \(2^{c \log n \log \log n}\).
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integral point set
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minimal diameter
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