Discrete & Computational Geometry

, Volume 49, Issue 3, pp 478–484 | Cite as

Combinatorial Generalizations of Jung’s Theorem

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Abstract

We consider combinatorial generalizations of Jung’s theorem on covering a set by a ball. We prove the “fractional” and “colorful” versions of the theorem.

Keywords

Jung’s theorem Helly’s theorem Covering by a ball 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Institute for Information Transmission ProblemsRASMoscowRussia
  2. 2.B. N. Delone International Laboratory “Discrete and Computational Geometry”P. G. Demidov Yaroslavl State UniversityYaroslavl’Russia

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