Evolving Networks with Nonlinear Assignment of Weight
TANG Chao, TANG Yi
Institute of Modern Physics, Xiangtan University, Xiangtan 411105
Evolving Networks with Nonlinear Assignment of Weight
TANG Chao;TANG Yi
Institute of Modern Physics, Xiangtan University, Xiangtan 411105
关键词 ：
89.75.Fb ,
89.75.Hc ,
05.65.+b ,
05.10.-a
Abstract ： We propose a weighted evolving network model in which the underlying topological structure is still driven by the degree according to the preferential attachment rule while the weight assigned to the newly established edges is dependent on the degree in a nonlinear form. By varying the parameter α that controls the function determining the assignment of weight, a wide variety of power-law behaviours of the total weight distributions as well as the diversity of the weight distributions of edges are displayed. Variation of correlation and heterogeneity in the network is illustrated as well.
Key words ：
89.75.Fb
89.75.Hc
05.65.+b
05.10.-a
出版日期: 2006-01-01
:
89.75.Fb
(Structures and organization in complex systems)
89.75.Hc
(Networks and genealogical trees)
05.65.+b
(Self-organized systems)
05.10.-a
(Computational methods in statistical physics and nonlinear dynamics)
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2006, Vol. 23 
