Improved stretch factor for bounded-degree planar power spanners of wireless ad-hoc networks

Authors:
Iyad A. Kanj;Ljubomir Perković
Affiliations:
School of Computer Science, Telecommunications and Information Systems, DePaul University, Chicago, IL;School of Computer Science, Telecommunications and Information Systems, DePaul University, Chicago, IL
Venue:
ALGOSENSORS'06 Proceedings of the Second international conference on Algorithmic Aspects of Wireless Sensor Networks
Year:
2006

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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 + 2p sinp (π/k). This significantly improves the previous best results in the literature by Song et al..