基于多重广义算子的复杂网络建模方法的研究

摘要

On the basis of multiple generalized operator model and results of complex network,the paper proposed a modeling method using multiple generalized operator for complex network.The method fully analyzes the practical research results of complex network,which reveals a phenomenon that different systems have experienced spacetime evolution from initial simple components to the emergence of some common structural features and owes to the thinking of multiple generalized operator that various internal structure but having the same external features.The modeling method applies decomposing-combining approach.Firstly,the system was decomposed according to its structure characteristic and respectively generalized operator and relation operator model were created,then they were combined aptly to form complex network generalized model.Finally,it was used in computer network modehng,which shows the method is simple,flexibility and effective.%复杂网络的研究显示,不同系统在经历时空演化从最初简单状态涌现出同样结构特征的现象.针对不同的内在结构却表现出同样外部特征的特点,比较符合于广义算子模型的研究思路.提出一种适合复杂网络的普适建模方法,在分析融合多重广义算子模型和复杂网络的研究成果基础上,将广义算子模型应用于复杂网络的建模中.建模过程采用“分解-联结”的方式.首先根据系统的结构特征进行分解,分别建立广义算子和关系算子,然后联结形成复杂网络的广义算子模型.最后可用于Internet的建模中,证明了模型的简单性、灵活性和有效性.