基于多重广义算子的复杂网络建模方法的研究  

Research on Complex Network Modeling Based on Multiple Generalized Operator

作　　者：赵宇红[1,2] 吴爱燕[3] 郑雪峰[1] 涂序彦[1] 

机构地区：[1]北京科技大学计算机与通信工程学院,北京100083 [2]内蒙古科技大学信息工程学院,内蒙古包头014010 [3]北方工业大学,北京100144

出　　处：《计算机仿真》2013年第6期267-270,共4页Computer Simulation

基　　金：内蒙古自然科学基金(2011MS0916);内蒙古高等学校研究项目(NJ10105);内蒙古科技大学创新基金(2009NC079)

摘　　要：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。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 space - time 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 modeling, which shows the method is simple, flexibility and effective.

关 键 词：多重广义算子模型 复杂网络 关系算子 分解-联结 

分 类 号：TP319[自动化与计算机技术—计算机软件与理论]