从整体角度看复杂网络的结构灰态问题

An Overall View on the Grey State of Complex Network's Structure

从网络整体的角度分析,复杂网络作为复杂系统的抽象拓扑结构,具有灰态性特征。通过对灰态概念的界定和区分,指出复杂网络结构的灰态性特征根源于其复杂性属性。同时,应用统计物理学及灰色系统理论的研究方法,探讨了复杂网络的四个经典结构指标的灰态表述——边、节点的权重、度、网络的聚类系数,进一步验证了复杂网络的结构灰态特性。

On the whole,as an abstract topological structure of complex systems,complex networks have grey-state characteristics. By defining and distinguishing the concepts of grey states,it points out that the grey state characteristics of complex network’s structure roots in their complexity. Applying the research methods of Statistical Physics and Grey System Theory,this paper discusses the grey state expressions of four classic structural indexes of complex networks,which includes edge,nodes weight,degree and clustering coefficient of the network, and verifies the complex network Structural grey state.