Abstract: We propose a distributed topology control algorithm for constructing a wireless network topology with the
minimum-energy property, namely, it preserves a minimum-energy path between every pair of nodes. Moreover the proposed
algorithm can be used in both the homogenous and the heterogeneous wireless networks. Simulation results show that the
proposed algorithm has advantages over the topology control algorithm based on the direct-transmission region in terms of
average node degree and power efficiency.

Key words: Wireless Ad Hoc netowrks, topology control, minimum-energy path, minimum-energy property