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.