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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.
NP-Complete, wireless sensor networks, coverage problem.
Bing-Hong Liu, Wei-Chieh Ke, Ming-Jer Tsai, "Constructing a Wireless Sensor Network to Fully Cover Critical Grids by Deploying Minimum Sensors on Grid Points Is NP-Complete", IEEE Transactions on Computers, vol. 56, no. , pp. 710-715, May 2007, doi:10.1109/TC.2007.1019
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