In ad hoc wireless networks, routing protocols are challenged with establishing and maintaining multihop routes in the face of mobility, bandwidth limitation and power constraints. Routing based on a connected dominating set is a promising approach, where the searching space for a router reduced to nodes in the set. A set is dominating if all the nodes in the system are either in the dominating set or adjacent to some nodes in the dominating set. In this thesis, we propose a method of calculating power-aware connected dominating set. Our simulation results show that the proposed approach outperforms several existing approaches in terms of life span of the network. We also discuss mobility management in dominating-set-based networks. Three operations are considered which are mobile host switch on, mobile host switch off and mobile host movement. We also discuss the use of dynamic source routing as an application of the connected dominating set.