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Constructing a connected dominating set as the virtual backbone plays an important role in wireless networks. In this paper, the authors propose two novel approximate algorithms for dominating set and connected dominating set in wireless networks, respectively. Both of the algorithms are based on edge dominating capability which is a novel notion proposed in this paper. Simulations show that each of proposed algorithm has good performance especially in dense wireless networks. Wireless networks such as ad-hoc networks and sensor networks consist of a number of wireless autonomous nodes, which communicate through wireless radio technology.
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