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Separating convex sets in the plane

✍ Scribed by Jurek Czyzowicz; Eduardo Rivera-Campo; Jorge Urrutia; Joseph Zaks


Publisher
Springer
Year
1992
Tongue
English
Weight
329 KB
Volume
7
Category
Article
ISSN
0179-5376

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πŸ“œ SIMILAR VOLUMES


On Separation of Plane Convex Sets
✍ Eduardo Rivera-Campo; JenΓΆ TΓΆrΓΆcsik πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 77 KB

We show that in any family \(F\) of \(n \geqslant 5\) convex sets in the plane with pairwise disjoint relative interiors, there are two sets \(A\) and \(B\) such that every line that separates them, separates either \(A\) or \(B\) from at least \((n+28) / 30\) sets in \(F\).