Abstract

This paper constructed a wireless sensor network model which includes multi hop mechanism based on the theory of complex network. In the non uniform clustering algorithm, the selection of the competitive radius affects the lifetime of the whole network. The optimal hop mechanism is added into the growth phase of the scale free network model, which makes the probability of the link between the nodes relate to the actual distance between nodes. This paper also discusses how parameters C and parameters Rmax affect the degree distribution, network coverage, and the number of cluster heads in the entire network model. We use the theory to analyze the degree distribution of the network along with the growth of network. And we also use the software to simulate the network performance parameters. We find that with the increase of parameters C, the network of competitive radius is more heterogeneous, the number of cluster heads are lager, and the proportion of the value between (2,10) of nodes degree in the network are large, but the coverage rate of the network are low. We also found that with the increasing of the parameters Rmax, the number of cluster heads in the network are smaller, and the proportion of the value between (2, 10) of nodes degree in the network, and the coverage rate of the network would increase.

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