A lower bound on the number of unit distances between the vertices of a convex polygon (Q1174151)
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scientific article; zbMATH DE number 8162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A lower bound on the number of unit distances between the vertices of a convex polygon |
scientific article; zbMATH DE number 8162 |
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A lower bound on the number of unit distances between the vertices of a convex polygon (English)
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25 June 1992
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The authors prove that to every \(n\geq 4\) there exists a convex \(n\)-gon such that at least \(2n-7\) of its vertex pairs are of unit mutual distance. This improves for \(n\geq 17\) a result by P. Erdős and L. Moser.
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number of unit distances
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vertices
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convex polygon
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