提出了一个演化的权重无标度网络模型。在传统的加权网络模型的强度优先连接机制基础上,考虑了网络按照模块结构和三角结构进行演化的特性。研究了模块结构和三角结构的演化机制对无标度模型结构特性的影响。仿真结果表明该权重网络的度、强度和权值都服从幂率分布,网络的平均强度与度之间具有高相关特性,网络的平均簇系数与度的函数关系服从幂率分布,模块结构和三角结构的演化机制能够显著提高网络的簇系数。
A weighted evolving model of scale-free network is proposed. Modular structure and triad formation are considered in process of evolving based on traditional strength preferential selection mechanism of weithted networks. The effects of modular structure and triad formation on the structure of our evolving scale-free model are investigated. The evolution of degree, strength, weight exhibit the power-law distributions. Highly correlated with the degree, the average strength displays scale-free property in our model. The average clustering coefficient exhibits a power-law decay as a function of degree of node. Modular structure and triad formation mechanism can distinctly enhance the clustering coefficient of network.