具有边权全局演化特征的加速增长的网络模型  

ACCELERATING GROWING NETWORK MODEL WITH WIDELY WEIGHTED DYNAMICS

作　　者：穆军芬[1] 周进[1,2] 

机构地区：[1]河北工业大学电气与自动化学院理学院,天津300130 [2]上海大学上海市应用数学与力学研究所,上海200072

出　　处：《动力学与控制学报》2011年第3期282-285,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金(10672094;10972129;10832006);教育部博士点基金(200802800015)资助项目~~

摘　　要：提出了一个新的加速增长的加权网络模型.与以前的边权固定模型或边权局部分配模型相比,该模型允许流被全局更新,并给出度、边权、与点强度分别服从幂律分布.特别地,这些幂律指数是非普适的而且依赖于两个网络参数.该模型还指出点强度高度依赖于度并且它们之间服从幂律关系,这与许多的实证研究结果相符.数字仿真验证了理论预测的正确性.A new weighted network model with accelerating growth was presented. Companed with the previous models where weights are assigned statically or rearranged locally, this model allows the flows to be widely updated, and gives power-law distributions of degree, weight and strength, respectively. Particularly, the exponents are nonuniversal and depend on two network parameters. It turns out that the strength highly correlates with the degree and displays scale-free property, which is consistent with empirical evidence. Simulations were provided to demonstrate the theoretical results.

关 键 词：加权演化网络 边权全局演化 加速增长的网络 幂律分布 

分 类 号：O157.5[理学—数学]