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Piercing \(d\)-intervals - MaRDI portal

Piercing \(d\)-intervals (Q1387841)

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scientific article; zbMATH DE number 1160541
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English
Piercing \(d\)-intervals
scientific article; zbMATH DE number 1160541

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    Piercing \(d\)-intervals (English)
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    8 June 1998
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    This paper contains a very short elementary proof that if \({\mathcal H}\) is a finite family of \(d\)-intervals (a \(d\)-interval is a union of closed intervals in the line) containing no \(k+1\) pairwise disjoint members then the minimum number of points that intersect every member of \({\mathcal H}\) is \(\leq 2d^2k\).
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    transversal
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    matching
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    piercing
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    finite family of \(d\)-intervals
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