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An Exponential Improvement on the MST Heuristic for Minimum Energy Broadcasting in Ad Hoc Wireless Networks

  • Ioannis Caragiannis
  • Michele Flammini
  • Luca Moscardelli
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4596)

Abstract

In this paper we present a new approximation algorithm for the Minimum Energy Broadcast Routing (MEBR) problem in ad hoc wireless networks that has exponentially better approximation factor than the well-known Minimum Spanning Tree (MST) heuristic. Namely, for any instance where a minimum spanning tree of the set of stations is guaranteed to cost at most ρ times the cost of an optimal solution for MEBR, we prove that our algorithm achieves an approximation ratio bounded by 2ln ρ − 2 ln 2 + 2. This result is particularly relevant for its consequences on Euclidean instances where we significantly improve previous results.

Keywords

Wireless Network Span Tree Transmission Power Approximation Ratio Minimum Span Tree 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Ioannis Caragiannis
    • 1
  • Michele Flammini
    • 2
  • Luca Moscardelli
    • 2
  1. 1.Research Academic Computer Technology Institute and, Dept. of Computer Engineering and Informatics, University of Patras, 26500 RioGreece
  2. 2.Dipartimento di Informatica, Università di L’Aquila, Via Vetoio, Coppito 67100, L’AquilaItaly

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