volume 28, issue 3, P379-387 2002
DOI: 10.1007/s00454-002-2821-5
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Abstract: Abstract. We show that if every three members of a finite disjoint family of unit disks in the plane have a line transversal, then there is a line transversal to all except at most 12 disks in the family. We derive an analogous result for translates of a general compact convex set, with the constant equal to 47.

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