On Isolating Points Using Disks

  • Matt Gibson
  • Gaurav Kanade
  • Kasturi Varadarajan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6942)


In this paper, we consider the problem of choosing disks (that we can think of as corresponding to wireless sensors) so that given a set of input points in the plane, there exists no path between any pair of these points that is not intercepted by some disk. We try to achieve this separation using a minimum number of a given set of unit disks. We show that a constant factor approximation to this problem can be found in polynomial time using a greedy algorithm. To the best of our knowledge we are the first to study this optimization problem.


Wireless Sensor Network Approximation Algorithm Unit Disk Greedy Algorithm Intersection Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Matt Gibson
    • 1
  • Gaurav Kanade
    • 2
  • Kasturi Varadarajan
    • 2
  1. 1.Department of Electrical and Computer EngineeringThe University of IowaIowa CityUSA
  2. 2.Department of Computer ScienceThe University of IowaIowa CityUSA

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