A Gallai-type transversal problem in the plane (Q1209844)
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scientific article; zbMATH DE number 168603
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Gallai-type transversal problem in the plane |
scientific article; zbMATH DE number 168603 |
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A Gallai-type transversal problem in the plane (English)
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16 May 1993
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Extending a result of D. Kramer as well as continuing his own extensive research on line transversals, the author shows that if \(K\) is a family of compact convex sets in \(E^ 2\) such that every three of its members admit a common line transversal, then \(K\) can be stabbed by four lines. Kramer's result was a stabbing number of five.
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plane convex sets
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stabbing lines
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Gallai-type
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line transversals
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0.8647648
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0.8524536
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0.85167736
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0.8446015
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