Hybrid Evolutionary Stability Of The Network

From the development of networks , scholars proposed more and more models and analytical methods, and 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 evolving network models by means of master equation and so on , and judge if the hybrid evolving networks are scale-free networks.This paper is composed of the following five chapters.Chapter I :Introduce the research survey of the complex networks, stochastic and preferred hybrid evolving network model and group stochastic and preferred hybrid evolving network model, and research purpose and structure of this paper.Chapter II : Introduce the evolving network models, existence of degree distributions and seeking degree distributions by master equation method, and so on. And this paper is based on these knowledge.Chapter III: Introduce the basic principle and existence of steady state degree distribution of stochastic and preferred hybrid evolving network model.ChapterIV:Introduce the basic principle and existence of steady state degree distribution of group stochastic and preferred hybrid evolving network model.Chapter V:Summary and prospect.