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Topology control for fault tolerant communication is one of the important issues in wireless sensor networks. This paper presents a simple mechanism of fault tolerant topology control for generating undirected scale-free networks, where the network evolution is determined by the rules of growth and preferential attachment. The authors prove that this mechanism produces scale-free networks with degree exponent gamma = 1. The dynamic analysis found that this evolution model can maintain the character of scale-free networks and can improve the uniformity of the degree distribution of the networks as compared with Barabasi and Albert model.