硕士论文-《一类混合增长网络模型的度分布

发布时间:2019-09-23 17:35

一类混合增长网络模型的度分布

【摘要】 随着对复杂网络研究的发展深入,学者们提出了越来越多的模型和分析方法,特别是建立了演化网络与非齐次马氏链之间的联系,提出了计算演化网络度分布的马氏链方法。本文承接了上述思想,利用马氏链的研究方法与技巧等分析了一类新型混合增长网络模型稳态度分布存在性,并判断该混合增长网络是否为无标度网络。本论文由以下四部分组成:第一章:介绍复杂网络的研究概况,一类新的随机-择优混合增长网络模型以及本文的研究内容、论文结构。第二章:主要介绍有关复杂网络的基本知识:网络模型,稳态度分布,马氏链首达概率的方法与技巧求度分布等,这些知识是本文的基础。第三章:本文随机-择优混合增长网络模型描述及基本引理,分析该网络的稳态度分布存在性,并判断该网络是否为无标度网络。第四章:总结和展望。

硕士论文 -【Abstract】 With the development of complex networks,scholars proposed more and more models and analytical methods.They set relations between evolving networks and non-homogeneous markov chain,and proposed the calculate methods of degree distributions of evolving networks by means of markov chain.This paper further discusses the existence of degree distributions of the hybrid growing network models by research methods and skills of Markov chain,and judge if the hybrid growing networks are scale-free networks.This paper is composed of the following four chapters.ChapterⅠ:Introduce the research survey of the complex networks, stochastic and preferred hybrid growing network model,and research purpose and structure of this paper.ChapterⅡ:Introduce the growing network models,existence of degree distributions and seeking // degree distributions by Markov chain methods and skills,and so on. And this paper is based on these knowledge.ChapterⅢ:Introduce the basic principle and analysis the existence of steady state degree distribution of stochastic and preferred hybrid growing network model.ChapterⅣ:Summary and prospect.

【关键词】 混合增长网络; 随机; 择优; 度分布; 无标度网络;
 
硕士论文-【Key words】 hybrid growing networks; stochastic; preferred; degree distributions; scale-free networks;

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