一种灵活的加权复杂网络演化模型及其仿真

Flexible Weighted Complex Network Evolving Model and Simulation

对实际加权网络的网络特征进行了统计,分析了在网络演化过程中应考虑的演化机制。在此基础上,提出了一种灵活的加权复杂网络演化模型。该模型可以灵活的调整网络演化过程中各种演化机制影响作用的大小,网络规模和平均节点强度可控,节点和连接的状态能够动态变化。对模型进行仿真验证后发现其能够较好的拟合实际加权网络的拓扑结构特征。最后,对网络模型中幂律分布的成因进行了分析。

Firstly, the statistics of the characteristics of real weighted complex networks were conducted, and principles of network evolving process were analyzed. Then, based on the conclusion above, a flexible weighted complex network evolving model was proposed. The model can adjust the influences of many factors that affected the evolving process of network through flexible configurations of the parameter. The number of nodes and the average node-strength are controllable, and the state of nodes and links of network are dynamic. Through the simulation of the model, it is considered that it can match the topology characteristic of real weighted network very well. At last, the cause of power-law distribution formation in the network model was explained.