Minimizing Interference of a Wireless Ad-Hoc Network in a Plane

  • Magnús M. Halldórsson
  • Takeshi Tokuyama
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4240)


We consider the problem of topology control of a wireless ad-hoc network on a given set of points in the plane, where we aim to minimize the maximum interference by assigning a suitable transmission radius to each point. By using computational geometric ideas and ε-net theory, we attain an \(O(\sqrt{\Delta})\) bound for the maximum interference where Δ is the interference of a uniform-radius ad-hoc network. This generalizes a result given in [8] for the special case of highway model (i.e., one-dimensional problem) to the two-dimensional case. We also give a method based on quad-tree decomposition and bucketing that has another provable interference bound in terms of the ratio of the minimum distance to the radius of a uniform-radius ad-hoc network.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Magnús M. Halldórsson
    • 1
  • Takeshi Tokuyama
    • 2
  1. 1.Dept. of Computer Science, Faculty of EngineeringUniversity of IcelandReykjavikIceland
  2. 2.Graduate School of Information SciencesTohoku UniversitySendaiJapan

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