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Evolution of two properties for scale-free network

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2 Author(s)
Li Shouwei ; School of Management, Univ. of Shanghai for Science and Technology, Shanghai 200093, P. R. of China ; Qian Xingsan

Fitness of node can denote its competing power and clustering denotes the transitivity of network. Because the fitness of node is uncertain or fuzzy in some social networks, an explicit form of the degree distribution on fuzzy fitness is derived within a mean field approach. It is a weighted sum of different fuzzy fitness. It can be found that the fuzzy fitness of nodes may lead to multiscaling. Moreover, the clustering coefficient of node decays as power law and clustering coefficient of network behavior not-decrease-but-increase' phenomenon after some time. Some computer simulation results of these models illustrate these analytical results.

Published in:

Journal of Systems Engineering and Electronics  (Volume:17 ,  Issue: 3 )