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.
