多三角形结构动态复杂网络演化模型及其稳定性分析  

Study of dynamic complex network evolving models with multi-triangular structure

作　　者：裴伟东[1] 夏玮[1] 王全来[1] 赵子平[1] 马希荣[1] 

机构地区：[1]天津师范大学计算机与信息工程学院,天津300387

出　　处：《计算机工程与应用》2011年第23期41-44,共4页Computer Engineering and Applications

基　　金：国家自然科学基金No.60970060/F020508;天津市高等学校科技发展计划(No.20080801);天津师范大学博士基金(No.52X09011);天津市科技支撑计划重点项目(No.09ZCKFGX00500)~~

摘　　要：给出了多三角形结构动态复杂网络演化模型的演化算法,利用平均场理论和MATLAB工具对模型的度分布、平均聚集系数等给出了精确的理论解与数值仿真解,验证了两种解完全吻合。利用MATLAB工具对演化模型的稳定性进行数值仿真,验证了该类演化模型与无标度网络BA演化模型在随机攻击策略下具有相似的稳定性。An evolvable algorithm of a class of dynamic complex network models with triangular structure is given in this paper.Exact analytical solutions and numerical simulation solutions are obtained to the degree distribution and average coefficient cluster of the models by mean-field theory and MATLAB tool,and it shows that the results are perfectly matched.Robustness of the evolving models is simulated by the MATLAB tool,and it shows that the models are similar in their robustness with those of scale-free BA models at random attack.

关 键 词：多三角形结构演化算法 幂律分布 网络稳定性 网络效率 

分 类 号：N945.12[自然科学总论—系统科学]