一种动态的无标度网络模型  

A Dynamic Scale-free Network Model

作　　者：贾秀丽[1] 蔡绍洪[1,2] 张芙蓉[1] 

机构地区：[1]贵州大学物理系,贵州贵阳550025 [2]贵州财经学院贵州省经济系统仿真重点实验室,贵州贵阳550004

出　　处：《四川师范大学学报（自然科学版）》2009年第6期839-842,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10647005);贵州省科学技术基金(20062006)资助项目

摘　　要：针对BA无标度网络模型模拟现实世界的局限性,同时参考其它扩展模型的结果,提出一种新模型,该模型包含新节点的加入和旧节点的删除,旧节点之间择优的再生连接和反择优的删除连接.运用连续介质理论和平均场理论建立起与之对应的演化方程,并计算出了它的严格解,导出了该模型的度分布和幂律指数的表达式.分析结果表明该模型能自组织演化成无标度网络,其幂律指数在1-3范围内,调节参数就可与现实中的许多复杂网络的幂律指数相吻合,因此,该模型更具有一般性.Regarding of some limitation of the famous BA scale-free network to simulate the realistic world and based on results of some extensive models, a new model has been put forward, which includes the addition of new nodes, the deletion of old nodes, the preferential rewiring of old nodes and the anti-preferential deletion of old nodes. Authors set up a corresponding evolution equation by means of the continuous medium theory and average field theory and obtain the exact solutions for degree distribution, power law exponent expression and its corresponding exponents （ 1-3 ） , which accords power-law exponent of the realistic networks with adjusting some parameters. So this scale-free network model is a more generic model.

关 键 词：复杂网络 BA模型 度分布 幂律指数 无标度网络 

分 类 号：O414.2[理学—理论物理]