A Class Of Hybrid Growth Network Model Of The Degree Distribution

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.