A pseudoline counterexample to the strong Dirac conjecture (Q405230)
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scientific article; zbMATH DE number 6340198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A pseudoline counterexample to the strong Dirac conjecture |
scientific article; zbMATH DE number 6340198 |
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A pseudoline counterexample to the strong Dirac conjecture (English)
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4 September 2014
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Summary: We demonstrate an infinite family of pseudoline arrangements, in which an arrangement of \(n\) pseudolines has no member incident to more than \(4n/9\) points of intersection. This shows the ``strong Dirac'' conjecture to be false for pseudolines.{ }We also raise a number of open problems relating to possible differences between the structure of incidences between points and lines versus the structure of incidences between points and pseudolines.
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incidence geometry
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pseudolines
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