Constructing a Wireless Sensor Network to Fully Cover Critical Grids by Deploying Minimum Sensors on Grid Points Is NP-Complete

  • Authors:
  • Wei-Chieh Ke;Bing-Hong Liu;Ming-Jer Tsai

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2007

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Abstract

This paper proves that deploying sensors on grid points to construct a wireless sensor network that fully covers critical grids using minimum sensors (Critical-Grid Coverage Problem) and that fully covers a maximum total weight of grids using a given number of sensors (Weighted-Grid Coverage Problem) are each NP-Complete.