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Topology control is one of the most importance issues in performance optimization for wireless sensor network. It can prolong network lifetime, reducing radio interference, ensuring network connectivity and coverage. In this paper, the authors discuss the design object of topology control, study the different network topology models and graph models which used in topology control, typical topology control algorithms are also analyzed through the angle of power control and sleep scheduling. Finally, they summarize the present situation and problems which still remained to be solved.
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