Research on mobile social non-uniform hypernetwork evolving model

Abstract

The modelling studies for the mobile social network will help to understand the characteristics of network structure and evolution mechanisms. In order to improve the accuracy of the description of mobile social hypernetwork model, this paper takes the WeChat as a sample and puts forward a non-uniform hypernetwork (hypergraph-Oriented) model with the attractiveness and the ages of nodes. In the model, nodes arrive at the system in accordance with Poisson process and are gradually ageing as the growth of time. We analyse the relevant characteristics of hypernetwork evolution and obtain the stationary average hyperdegree distribution of the hypernetwork by the characteristic equation. Numerical simulations of the models agree with the analytical results well. The whole research aims to provide support for the dynamics rule of mobile social hypernetwork and to provide a new perspective for the study of mobile social hypernetwork.