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

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

[1]  Alexandre Caminada,et al.  Automatic mesh generation for mobile network dimensioning using evolutionary approach , 2005, IEEE Transactions on Evolutionary Computation.

[2]  Charles J. Colbourn,et al.  Unit disk graphs , 1991, Discret. Math..

[3]  Gaurav S. Sukhatme,et al.  An Incremental Self-Deployment Algorithm for Mobile Sensor Networks , 2002, Auton. Robots.

[4]  S. Sitharama Iyengar,et al.  Grid Coverage for Surveillance and Target Location in Distributed Sensor Networks , 2002, IEEE Trans. Computers.

[5]  Krishnendu Chakrabarty,et al.  Location-aided flooding: an energy-efficient data dissemination protocol for wireless-sensor networks , 2005, IEEE Transactions on Computers.

[6]  Miodrag Potkonjak,et al.  Power efficient organization of wireless sensor networks , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[7]  Krishnendu Chakrabarty,et al.  A distributed coverage- and connectivity-centric technique for selecting active nodes in wireless sensor networks , 2005, IEEE Transactions on Computers.

[8]  Kang G. Shin,et al.  Soft tamper-proofing via program integrity verification in wireless sensor networks , 2005, IEEE Transactions on Mobile Computing.

[9]  KeWei-Chieh,et al.  Constructing a Wireless Sensor Network to Fully Cover Critical Grids by Deploying Minimum Sensors on Grid Points Is NP-Complete , 2007 .

[10]  Krishnendu Chakrabarty,et al.  Sensor deployment and target localization in distributed sensor networks , 2004, TECS.

[11]  David Lichtenstein,et al.  Planar Formulae and Their Uses , 1982, SIAM J. Comput..

[12]  Mihaela Cardei,et al.  Coverage in Wireless Sensor Networks , 2004, Handbook of Sensor Networks.