Exploring The Topological Properties Of Social Networks

In recent years,with the deepening of research on complex network evolution models,network models have emerged endlessly.How to reveal the internal structure and evolution laws of real network systems through complex network models has always been a hot topic in complex network research.It has been widely applied and studied in various fields such as physics,computer science,sociology,biology,etc.In the study of complex networks,researchers at home and abroad mainly conduct research from different perspectives.Foreign researchers mainly focus on the structure,evolution,and control of complex networks,while domestic researchers apply complex network theory to practical problems such as rumor propagation,urban planning,traffic flow,energy systems,etc.Although many advances have been made in research both domestically and internationally,there are still some challenges and urgent problems in the study of complex networks.This article takes complex networks as the research object,and constructs different types of network structures from two perspectives: network topology and node importance.Explore the coupling and application of complex networks in interpersonal collaboration,time series,and entertainment Weibo.The first chapter is the introduction part of this article,mainly introducing the research background and current research status at home and abroad,and briefly explaining the research content and innovation points of this article.In Chapter 2,we introduced some typical complex network structures and the network models involved in this article.We also introduced the topological properties and node importance mechanisms of the network,clarifying the theoretical basis for subsequent research.The third chapter mainly studies the cooperative network,which establishes a joint directing network,a lead actor cooperation network,and a director lead dual mode network through the cooperation between directors and actors to systematically describe the impact of the topological structure of the regression analysis network on movie ratings and box office.Chapter 4 studies the application of complex networks in time series and proposes a new method that maps wind speed sequences into a directed weighted network using visibility graphs.By calculating the similarity of neighboring time nodes and combining it with the shortest path method,the similarity matrix of network nodes is calculated.Then,based on the similarity analysis of directed weight nodes,a combination of adjacent prediction method and linear approximation method is used for long-term wind speed prediction.In the prediction experiment,the applicability and predictability of this method are demonstrated by comparing the errors with other models.In Chapter 5 of this article,from the perspectives of emotional theory and social network theory,we establish a spatiotemporal network with Weibo commenting users as nodes through the fermentation process of three different levels of entertainment events on entertainment Weibo.Through empirical analysis combined with statistical methods using a double-layer linear model,the emotional expression of users in online comments on Weibo on three topics was studied.Explaining that tweets with more positive emotions,positive historical emotional habits,and larger online comments will allow users to express more positive emotions in the posted tweet information comments.The analysis results have a good reference value for guiding public opinion.