Evolution of Weighted Networks by Duplication-Divergence Mechanism  

作　　者：张建国 颜家壬 刘自然 王俐 

机构地区：[1]Department of Physics, Hunan Normal University, Changsha 410081

出　　处：《Chinese Physics Letters》2006年第8期2330-2333,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10375022.

摘　　要：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 δ, weighted, structured exponential networks are realized.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 δ, weighted, structured exponential networks are realized.

关 键 词：EVOLVING NETWORKS COMPLEX NETWORKS ORGANIZATION DYNAMICS 

分 类 号：O415[理学—理论物理]