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Brief Announcement: A Fast Distributed Approximation Algorithm for Minimum Spanning Trees in the SINR Model

  • Maleq Khan
  • Gopal Pandurangan
  • Guanhong Pei
  • Anil Kumar S. Vullikanti
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7611)

Abstract

We study the minimum spanning tree (MST) construction problem in wireless networks under the physical interference model based on SINR constraints. We develop the first distributed (randomized) O(μ)-approximation algorithm for MST, with the running time of O(Dlogn) (with high probability) where D denotes the diameter of the disk graph obtained by using the maximum possible transmission range, and \(\mu=\log{\frac{d_{max}}{d_{min}}}\) denotes the “distance diversity” w.r.t. the largest and smallest distances between two nodes. (When \(\frac{d_{max}}{d_{min}}\) is n-polynomial, μ = O(logn).)

Keywords

Wireless Sensor Network Span Tree Transmission Range Minimum Span Tree Virginia Tech 
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.

References

  1. 1.
    Khan, M., Pandurangan, G., Kumar, V.S.A.: Distributed algorithms for constructing approximate minimum spanning trees in wireless sensor networks. IEEE Transactions on Parallel and Distributed Systems 20(1), 124–139 (2009)CrossRefGoogle Scholar
  2. 2.
    Khan, M., Kumar, V.S.A., Pandurangan, G., Pei, G.: A fast distributed approximation algorithm for minimum spanning trees in the sinr model (2012), http://arxiv.org/abs/1206.1113

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Maleq Khan
    • 1
  • Gopal Pandurangan
    • 3
    • 4
  • Guanhong Pei
    • 1
  • Anil Kumar S. Vullikanti
    • 1
    • 2
  1. 1.Virginia Bioinformatics InstituteVirginia TechUSA
  2. 2.Dept. of Computer ScienceVirginia TechUSA
  3. 3.Division of Mathematical SciencesNanyang Technological UniversitySingapore
  4. 4.Department of Computer ScienceBrown UniversityUSA

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