Interference Minimization in Asymmetric Sensor Networks

  • Yves Brise
  • Kevin Buchin
  • Dustin Eversmann
  • Michael Hoffmann
  • Wolfgang Mulzer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8847)

Abstract

A fundamental problem in wireless sensor networks is to connect a given set of sensors while minimizing the receiver interference. This is modeled as follows: each sensor node corresponds to a point in \({\mathbb R}^d\) and each transmission range corresponds to a ball. The receiver interference of a sensor node is defined as the number of transmission ranges it lies in. Our goal is to choose transmission radii that minimize the maximum interference while maintaining a strongly connected asymmetric communication graph.

For the two-dimensional case, we show that it is NP-complete to decide whether one can achieve a receiver interference of at most \(5\). In the one-dimensional case, we prove that there are optimal solutions with nontrivial structural properties. These properties can be exploited to obtain an exact algorithm that runs in quasi-polynomial time. This generalizes a result by Tan et al. to the asymmetric case.

Notes

Acknowledgments

We would like to thank Maike Buchin, Tobias Christ, Martin Jaggi, Matias Korman, Marek Sulovský, and Kevin Verbeek for fruitful discussions.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Yves Brise
    • 1
  • Kevin Buchin
    • 2
  • Dustin Eversmann
    • 3
  • Michael Hoffmann
    • 1
  • Wolfgang Mulzer
    • 3
  1. 1.ETH ZürichZurichSwitzerland
  2. 2.TU EindhovenEindhovenThe Netherlands
  3. 3.FU BerlinBerlinGermany

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