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

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Automata, Languages and Programming (ICALP 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4596))

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

This work was partially supported by the EU COST Action 293 “Graphs and Algorithms in Communication Networks” (GRAAL) and by the EU IST FET Integrated Project 015964 AEOLUS.

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Authors and Affiliations

  1. Research Academic Computer Technology Institute and, Dept. of Computer Engineering and Informatics, University of Patras, 26500 Rio, Greece

    Ioannis Caragiannis

  2. Dipartimento di Informatica, Università di L’Aquila, Via Vetoio, Coppito 67100, L’Aquila, Italy

    Michele Flammini & Luca Moscardelli

Authors
  1. Ioannis Caragiannis
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  2. Michele Flammini
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  3. Luca Moscardelli
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Editor information

Lars Arge Christian Cachin Tomasz Jurdziński Andrzej Tarlecki

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Caragiannis, I., Flammini, M., Moscardelli, L. (2007). An Exponential Improvement on the MST Heuristic for Minimum Energy Broadcasting in Ad Hoc Wireless Networks. In: Arge, L., Cachin, C., Jurdziński, T., Tarlecki, A. (eds) Automata, Languages and Programming. ICALP 2007. Lecture Notes in Computer Science, vol 4596. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73420-8_40

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  • DOI: https://doi.org/10.1007/978-3-540-73420-8_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73419-2

  • Online ISBN: 978-3-540-73420-8

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