Abstract
Topology control is one of the most fundamental issues in wireless ad hoc and sensor networks. In this chapter, we give a summary of our recently works for topology control problem. Firstly, we briefly summarize existing works and research activities. Secondly, we address QoS topology control problem in homogeneous and non-homogeneous ad hoc networks including minimizing the total energy cost and minimizing maximum transmitting power of nodes and give our results. Thirdly, we introduce strongly connected topology control including non-restricted and restricted topology control problem in the wireless sensor networks, and give the corresponding results.
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