Maximum planar sets that determine \(k\) distances (Q1126289)
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scientific article; zbMATH DE number 955149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum planar sets that determine \(k\) distances |
scientific article; zbMATH DE number 955149 |
Statements
Maximum planar sets that determine \(k\) distances (English)
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21 August 1997
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The authors identify subsets of points in the plane with the property that there are \(k\) interpoint distances and have as many points as possible. They do this for \(k\leq 5\). They conjecture that such maximal point set for \(k\geq 7\) must be subsets of the triangular lattice.
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extremal sets of points
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point configurations
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extremal problems
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distances in graph
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