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在BA模型的基础上研究了兼顾局域演化、增长,以及局域与局域外存在较弱连接等3方面因素的加权网络。在这个模型中,引入了参数a,p1,p2,p3,通过理论分析,导出了这个加权网络模型的节点的强度分布,发现它服从幂律指数为2~3的幂律分布。数值仿真验证了理论分析的正确性;并通过调节参数,分析了该模型的内在特征和结构。这个改进的模型具有更为广泛的实际背景。
On the basis of the BA model, we study the weighted network that takes into account the three factors of local evolution, growth, and weak connectivity outside the local area and outside the area. In this model, the parameters a, p1, p2 and p3 are introduced. Through theoretical analysis, the intensity distribution of the nodes in this weighted network model is derived and it is found that it follows a power law distribution with power law exponent of 2 ~ 3. The numerical simulation verifies the correctness of the theoretical analysis. By adjusting the parameters, the intrinsic characteristics and structure of the model are analyzed. This improved model has a much broader practical background.