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The topology control is a vital process to maximize the network lifetime of wireless sensor networks. In this paper, the authors present a distributed topology algorithm with transmission power adjustment based on optimal no. of neighbours to raise the network energy-efficiency and the network throughput and to cope with the trade-off between the energy balance and energy efficiency, a non-linear optimization problem is formulated to find the optimal route nodes and their various transmission ranges. In the algorithm, every node can adjust its transmission power level and calculate its optimal transmission power according to the optimal number of neighbours, and a virtual clustering scheme is presented which is based on optimal transmission power for network topology control, where the network connectivity is also guaranteed.
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