The Study Of Complex Network With Local World

In recent years, due to the continued integration among the various disciplines, many fields of interdisciplinary research have produced and developed, the complex network is one of the representative areas. In the study of complex networks, through the establishment of an appropriate network model to analyze the statistical properties of the mechanism of the network and predict the behavior of the network, it is reasonable to control the network performance and design reasonable network structures can be made.There is a network which has local area in the real world. In view of this network model, several improved models are presented. Finally, a model that can simulate the mobile phone communication network is presented, and the initial spread of cell phone virus is simulated. Experimental results show that the experimental data is similar to the initializing analysis resultsThe major researches include:(1) On the existing basic network model, such as the random network model, small-world network model, free network models are re-experimented. The experimental results are similar to the previous results.(2) The characteristics of the local world evolving network model are reanalyzed and validated experimentally. Though the analysis, we can know that there are some new features in the network model to simulate complex networks with local world.(3) For the local world evolving network model omitted many problems of "secondary contradictions", three ways are proposed in the dissertation, which are increasing the vertex weight, deleting the node and edge connected, removing the edges only. By calculating the parameters of the improved network models, we can know that no matter what kind of improvement can be the network model to maintain the existing network of nature in the basis of more realistic network properties. Thus, based on the three improved models, the dissertation presents a comprehensive network model:local world deleting network (LWDN). In the model, one can adjust the parameters to control the structure and nature of the network.(4) In accordance with the differences between the local world deleting network model and the actual mobile communication networks (MCG), a local point center network model is introduced in the dissertation. Through the analysis, we can know that this network model can simulate the evolution of the MCG network.(5) Against mobile viruses, the initial propagation of the mobile phone virus based on the local point center network model is simulated in the dissertation. Through the simulation, we can know that mobile phone virus must be effectively controlled in the early stages; otherwise there will be a wide range of virus dissemination in the short term.(6) Respectively, on the principle of complex networks, service providers and users on safety measures to raise safety awareness, several methods of controlling the spread of mobile phone virus are proposed. It's expected that we can effectively control the spread of mobile viruses through the introduction of these methods, thus reducing the harm caused by.