Abstract
In this thesis, we consider the minimum total node transmission power problem in a wireless ad hoc network, where each node is capable of adjusting the transmission range. To this purpose, we introduce the localized topology control incremental power protocol (LTIP). In addition, a localized method (LTIPT) of constructing a spanning tree is proposed to further decrease the total node transmission power. We compare by simulations the performance with several well-known existing topology control protocols. Simulations show that our methods improve the total node transmission power in the cost of moderate message communication overhead.