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A number of energy-aware routing protocols are proposed to provide the energy efficiency of routes in multihop wireless networks. A Localized Energy-Aware Restricted Neighborhood routing (LEARN), can guarantee the energy efficiency of its route if it can find the route successfully. The study of its critical transmission radius in random networks can guarantee that LEARN routing finds a route for any source and destination pairs asymptotically almost surely. Extending this proposed routing into Three-Dimensional (3D) networks by deriving its critical transmission radius in 3D random networks.
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