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Hierarchical weighted networks with the high clustering. (Chinese. English summary) Zbl 1212.90067

Summary: The aim of this paper is to propose a hierarchical model for the growth of weighted networks. The degree, strength and weight distributions of the networks are provided analytically, and the network clustering coefficient is calculated. Results show that the network possesses power-law behavior, and the clustering coefficient of the network is high.

MSC:

90B15 Stochastic network models in operations research
91D30 Social networks; opinion dynamics
05C80 Random graphs (graph-theoretic aspects)