Wireless Networks

, Volume 13, Issue 2, pp 153–164

Improved approximation algorithms for connected sensor cover


  • Stefan Funke
    • Max Planck Institut fur Informatik
  • Alex Kesselman
    • Max Planck Institut fur Informatik
    • Dipartimento di Scienze dell’InformazioneUniversita di Roma La Sapienza
  • Fabian Kuhn
    • Computer Engineering an Networks LaboratoryETH Zurich
  • Zvi Lotker
    • Project MascotteINRIA
    • Communication Systems Engineering Dept.Ben-Gurion University of the Negev

DOI: 10.1007/s11276-006-3724-9

Cite this article as:
Funke, S., Kesselman, A., Kuhn, F. et al. Wireless Netw (2007) 13: 153. doi:10.1007/s11276-006-3724-9


Wireless sensor networks have recently posed many new system building challenges. One of the main problems is energy conservation since most of the sensors are devices with limited battery life and it is infeasible to replenish energy via replacing batteries. An effective approach for energy conservation is scheduling sleep intervals for some sensors, while the remaining sensors stay active providing continuous service. In this paper we consider the problem of selecting a set of active sensors of minimum cardinality so that sensing coverage and network connectivity are maintained. We show that the greedy algorithm that provides complete coverage has an approximation factor no better than Ω(log n), where n is the number of sensor nodes. Then we present algorithms that provide approximate coverage while the number of nodes selected is a constant factor far from the optimal solution. Finally, we show how to connect a set of sensors that already provides coverage.


Approximation algorithmsSensing connected coverage

Copyright information

© Springer Science + Business Media, LLC 2006