具有双峰效应特性的复杂网络模型研究

为解决BA网络模型采用增长与择优处理节点之间的连接而导致节点连接数目无限增长等不足,通过对BA网络模型的节点连接策略改进,即通过引入节点最大连接数目,设置新增节点连接数目亚线性增长并采用Logistic函数得到了一种度分布具有双峰效应特性的BE网络模型,并给出了其若干性质。该模型可应用于解释经济、社会等现实生活中的两极分化现象,而且通过调整其参数可实现峰的移动和缩放,在极限情况下BE模型可退化成BA模型。

Research on Complex Network Model with the Bimodal Effect

The method of growth and preferential attachment applied by the classic BA scale-free network model to deal with connections between nodes of network will result in unlimited connections and other defects.This paper improves the method of connections of BA network model by introducing the maximum number of connections, having a sub-linear growth in the number of connections of new nodes and using Logistic function.Then a new network model named BE with a bimodal degree distribution is obtained.Its several properties are also provided.This model may be applied to explain the socio-economic polarization in the real world well.Moreover, the shifting and zooming of the peak may be achieved by adjusting its parameters.BE network model will be degenerated to BA network model in the limiting case.