一种具有核心-边缘结构的无标度网络演化模型

摘要

The core-periphery structure is an important and common structure in complex networks,however,there is little relevant research on it.In order to study and find some properties of the coreperiphery structure in complex networks,we analyze the structure of the random block model.On this basis,we propose a scale-free network evolving model with core-periphery structure.Theoretical and numerical analysis verify that the proposed model has sound scale-free characteristics and a core-periphery structure and its compactness is adjustable.This model can provide basis for further study on the characteristics of the core-periphery structure in complex networks.%核心-边缘结构是复杂网络中一种重要且常见的簇团结构,相关研究一直较少.为了研究复杂网络核心-边缘结构的相关特性,分析了随机块模型的结构,并在此基础上提出了一种具有无标度特性的核心-边缘结构网络演化模型.通过理论和数值分析,验证了所生成的网络具有较好的无标度特性和核心-边缘结构,且其结构的紧密程度可调,为进一步研究复杂网络核心-边缘结构的相关特性提供了基础.