On the Planarization of Wireless Sensor Networks
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abstract
Network planarization has been an important technique in numerous sensornet protocols-such as Greedy Perimeter Stateless Routing (GPSR), topology discovery, data-centric storage, etc.-however the planarization process itself has been difficult. Known efficient planarization algorithms exist only for restrictive wireless network models: unit-disk graphs with accurately known location information. In this paper, we study efficient planarization of wireless sensor networks, and present a novel planarization method for a more general network model, where sensors can have non-uniform transmission ranges and no location information is needed. Our planarization algorithms also include a (2+)-approximation algorithm and an FPT algorithm for the BIPARTITE PLANARIZATION problem. Springer Science+Business Media, LLC 2009.