Research And Application Of A Kind Of Tie Problem Based On Social Network

From the narrow perspective,social network is a typical complex network based on the real interpersonal relationships and a network service or platform with functions of communication,sharing and others.From the broad perspective,social network is a set of the individuals and connections between the individuals.With the advent of the Internet Dig Data Age,information technology has been developing rapidly.The older social networks like e-mail network,academic exchange network,school forum network etc are developing greatly to the newer social networks such as biological network,communication network,transportation network etc.Social network tie theory is an important branch of social network.Research on the tie problem has important theoretical and reference value to the solution of complexity problem.The main work of this paper is the study of social network statistics characteristics based on graph theory and complex network,the mining of the potential relationship between network communities,as well as the combination of social network tie theory and econometric model.We also discuss practical application and development direction of social networks in this paper.Firstly,the basic theories of complex networks are briefly introduced in this paper,including graph theory,the basics of network and its matrix descriptions.On the basis,the statistical characteristics of social network are studied in detail which consist of social network model,social network centralities and community structure detection.And the numerical examples and illustrations for the relevant formulas are given.Then,the social network tie strength econometric model is derived with the combination of social network tie theory and econometrics.Two conclusions are given based on the econometric model.1.When the probabilities of employment are equal in different job search channels,the wage level of workers who search job through weak tie is higher than that of strong tie.2.When the wage bid distributions are the same in different job search channels,if the probability of employment through weak tie is higher than that of strong tie,the wage level of workers who search job through weak tie is higher than that of strong tie.It is proved that the importance of small nodes in social networks is often greater than the importance of large nodes from the perspective of probability theory.Finally,through the improved wage income econometric model and Chinese Household Income Project survey statistical data,empirical analysis and robustness test of weak tie are given to prove the rationality of the conclusions.In particular,social network strong ties with high degree of intimacy such as family members,relatives,friends and acquaintances are not conducive to the promotion of individual professions and wage levels,but social network weak ties with scarce,alienated and wide contacts have a positive effect to improvement the level of individual wage income and occupational hierarchies.Therefore,in the modern job search social network structure,the weak tie is more helpful to enhance the level of individual income and hierarchy.