An exponential improvement on the MST heuristic for minimum energy broadcasting in ad hoc wireless networks

  • Authors:
  • Ioannis Caragiannis;Michele Flammini;Luca Moscardelli

  • Affiliations:
  • Research Academic Computer Technology Institute and Dept. of Computer Engineering and Informatics, University of Patras, Rio, Greece;Dipartimento di Informatica, Università di L'Aquila, L'Aquila, Italy;Dipartimento di Informatica, Università di L'Aquila, L'Aquila, Italy

  • Venue:
  • ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
  • Year:
  • 2007

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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 2 ln ρ - 2 ln 2 + 2. This result is particularly relevant for its consequences on Euclidean instances where we significantly improve previous results.