Abstract
A result of Eckhoff implies that to every finite T(3)-family of pairwise disjoint copies of a closed disc of unit diameter there exists a strip of width 1 meeting all members of the family. Our goal is to generalize this result giving a stricter upper bound by proving that the narrowest transversal strip has width < 0.65.
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Heppes, A. New Upper Bound on the Transversal Width of T(3)-Families of Discs. Discrete Comput Geom 34, 463–474 (2005). https://doi.org/10.1007/s00454-005-1181-3
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DOI: https://doi.org/10.1007/s00454-005-1181-3