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..
The first author was supported in part by DePaul University Competitive Research Grant.
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Kanj, I.A., Perković, L. (2006). Improved Stretch Factor for Bounded-Degree Planar Power Spanners of Wireless Ad-Hoc Networks. In: Nikoletseas, S.E., Rolim, J.D.P. (eds) Algorithmic Aspects of Wireless Sensor Networks. ALGOSENSORS 2006. Lecture Notes in Computer Science, vol 4240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963271_9
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DOI: https://doi.org/10.1007/11963271_9
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