Department of Computer Science and Technology Xu Chang University Xu Chang City, P.R. China

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Abstract—The self-similarity of complex networks has broad practical backgrounds. However, the properties of self-similar network have rarely studied so far. For this propose the self-similarity networks definition is captured firstly. Self-similarity model of complex networks is build based on information transfer, accounting to information transfer among nodes. Self-similarity of complex networks is researched based on the concept of fractal. Volume dimension is given to measure the self-similar network; besides, the shortage of volume dimension was also referred to. The information dimension was also proposed to study the self-similarity, which can reflect the similar objectively. Self-similarity of complex networks and simulation results is got from the data, finally further study is proposed.

Index Terms—complex networks, self-similarity, information transfer, volume dimension, information dimension

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Cite: Shaohua Tao, Zhili Zhang, and Shengli Tian, " Properties of Self-similarity Networks," Journal of Computers vol. 5, no. 10, pp. 1582-1589, 2010.