广义加权网络演化模型  

A Generalized Form of Weighted Networks Evolving Model

作　　者：顾鹏尧[1] 陈俊华[2] 龚德伟 周明华[2] 

机构地区：[1]绍兴文理学院上虞分院,浙江上虞312300 [2]浙江工业大学理学院,浙江杭州310032

出　　处：《数学的实践与认识》2013年第22期253-259,共7页Mathematics in Practice and Theory

摘　　要：在复杂网络BBV演化模型的基础上,采用新的赋权方式构建广义加权网络FBBV动态演化模型,给出FBBV模型的演化算法,然后对FBBV模型的性质进行理论推导,给出点权、边权的演化公式和点权、度和边权的分布规律.最后对FBBV模型进行了数值模拟,模拟的结果和理论推导结果一致.Based on BBV evolving model of complex networks, we propose a generalized form of weighted networks evolving model （FBBV model） with new method of assigning edge-weight, provide the evolving algorithm of FBBV model and the theoretical derivation of properties of FBBV, provide the evolving formula of vertex-weight and edge-weight, distribution rule of vertex-weight and degree and edge-weight. At last we give the numerical simulation of FBBV model, and find that the simulation results are in keeping with the theoretical derivation.

关 键 词：加权网络 FBBV模型 动态演化 数值模拟 

分 类 号：O157.5[理学—数学]