Evolution of Weighted Networks by Duplication--Divergence Mechanism
ZHANG Jian-Guo, YAN Jia-Ren, LIU Zi-Ran, WANG Li
Department of Physics, Hunan Normal University, Changsha 410081
Evolution of Weighted Networks by Duplication--Divergence Mechanism
ZHANG Jian-Guo;YAN Jia-Ren;LIU Zi-Ran;WANG Li
Department of Physics, Hunan Normal University, Changsha 410081
关键词 ：
89.75.Hc ,
05.45.-a ,
87.23.Kg
Abstract ： The duplication and divergence process is ubiquitous in nature and man-made networks. Motivated by the duplication--divergence mechanism which depicts the growth of protein networks, we propose a weighted network model in which topological evolution is coupled with weight dynamics. Large scale numerical results indicate that our model can naturally generate networks with power-law-like distributions of degree, strength and weight. The degree--strength correlation is illustrated as well. These properties are in agreement well with empirical data observed in real-world systems. Furthermore, by altering the retention probability σ, weighted, structured exponential networks are realized.
Key words ：
89.75.Hc
05.45.-a
87.23.Kg
出版日期: 2006-08-01
引用本文:
ZHANG Jian-Guo;YAN Jia-Ren;LIU Zi-Ran;WANG Li. Evolution of Weighted Networks by Duplication--Divergence Mechanism[J]. 中国物理快报, 2006, 23(8): 2330-2333.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2006/V23/I8/2330
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2006, Vol. 23 
