Discrete & Computational Geometry

, Volume 34, Issue 1, pp 47–70 | Cite as

Conflict-Free Coloring of Points and Simple Regions in the Plane

Article

Abstract

We study conflict-free colorings, where the underlying set systems arise in geometry. Our main result is a general framework for conflict-free coloring of regions with low union complexity. A coloring of regions is conflict-free if for any covered point in the plane, there exists a region that covers it with a unique color (i.e., no other region covering this point has the same color). For example, we show that we can conflict-free color any family of n pseudo-discs with O(log n) colors.

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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of Computer Science, University of Illinois, 201 N. Goodwin Avenue, Urbana, IL 61801USA
  2. 2.Institute for Theoretische Informatik, ETH Zurich, IFW CH-8092, ZurichSwitzerland

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