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An important problem for wireless ad hoc networks has been to design overlay networks that allow time- and energy-efficient routing. Many local-control strategies for maintaining such overlay networks have already been suggested, but most of them are based on an oversimplified wireless communication model. This paper suggests a model that is much more general than previous models. It allows the path loss of transmissions to significantly deviate from the idealistic unit disk model and does not even require the path loss to form a metric. Also, the model is apparently the first proposed for algorithm designs that does not only model transmission and interference issues but also aims at providing a realistic model for physical carrier sensing.
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