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\(\mathcal{T}(5)\) families of overlapping disks

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Abstract

We prove the following: If a finite family of unit (radius) disks has the property that the distance between every pair of centres is greater than 4/3 and every subset of at most five disks has a common transversal line, then all disks have a common transversal line.

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Correspondence to A. Heppes.

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Bisztriczky, T., Böröczky, K. & Heppes, A. \(\mathcal{T}(5)\) families of overlapping disks. Acta Math Hung 142, 31–55 (2014). https://doi.org/10.1007/s10474-013-0364-2

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  • DOI: https://doi.org/10.1007/s10474-013-0364-2

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