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Improved Stretch Factor for Bounded-Degree Planar Power Spanners of Wireless Ad-Hoc Networks

  • Iyad A. Kanj
  • Ljubomir Perković
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4240)

Abstract

Given a wireless Ad-Hoc network modeled as a unit disk graph U in the plane, we present a localized distributed algorithm that constructs a bounded degree planar power spanner of U with a bounded stretch factor. More specifically, for an integer parameter k ≥8 and a power exponent constant p ∈[2,5], our algorithm constructs a planar power spanner for the network of degree bounded by k + 5 and a stretch factor bounded by 1 + 2 p sin p (π/k). This significantly improves the previous best results in the literature by Song et al..

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Iyad A. Kanj
    • 1
  • Ljubomir Perković
    • 1
  1. 1.School of Computer Science, Telecommunications and Information SystemsDePaul UniversityChicagoUSA

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