摘要
基于Markov链理论,研究了一类修正Cooper-Frieze模型的稳定性.通过将模型中节点度与Markov链建立联系,利用Markov理论中首达概率的思想为稳态度分布的存在性提供了证明,并从数学上推导出度分布的具体表达式.最后,对该模型的度分布和聚集性提供了仿真分析,并与BA模型作了相应的对比.
From the perspective of probability, the stability of a modified Cooper-Frieze model is stud- ied. Based on the concept and technique of first-passage probability in Markov theory, a rigorous proof for existence of the steady-state degree distribution was provided, moreover the explicit formula was derived analytically. Finally, extensive numerical simulations of the model, including the degree distribution and the clustering were performed.
出处
《应用数学和力学》
CSCD
北大核心
2009年第6期741-749,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10671212)
高校博士点基金资助项目(20050533036)
关键词
增长网络
择优连接
幂率分布
growing networks
preferential attachment
power law
