一类特殊生长网络模型的分析与应用  

Analysis and Application of A Special Growth Network Model

作　　者：沈秀专[1] 刘慧明[2] 张淑华[3] 

机构地区：[1]青岛科技大学数理学院,山东青岛266061 [2]青岛科技大学网络管理中心,山东青岛266061 [3]青岛科技大学教务处,山东青岛266061

出　　处：《安徽理工大学学报（自然科学版）》2008年第2期81-83,共3页Journal of Anhui University of Science and Technology:Natural Science

摘　　要：讨论了一类基于BA模型生成机理的特殊的生长网络模型,采用率方程的方法计算得其度分布,证明了该网络是节点度分布是符合幂律分布的无标度网络,其幂指数为-2。从理论上分析了这个模型与BA模型由于拓扑结构的不同而造成的宏观性质的差异。并将这个模型应用于高校人才吸引网络,利用SPSS和M atlab模拟仿真证明了该模型数学期望关系式的正确性及模型的有效性。A special growth network model based on BA model was discussed. Its degree distribution was computed by use of rate equation method. The degree distribution was proved to be scale free network,which obeys power-law with exponent-2. The discrepancy of macroscopical property between BA and the model was analyzed in aspect of theory as result from difference of their topological structure. The model was applied to university attracting talents network. Simulations with SPSS and Matlab proved that the model＇s mathematical expectation formula is correct and available.

关 键 词：无标度网络 BA模型 生长网络 率方程 

分 类 号：N941.4[自然科学总论—系统科学]