Information dissemination in scale-free hypernetwork with variable local-world

Abstract With the continuous progress of Internet technology and the popularization of social platforms, the speed and scope of information dissemination have become more rapid and extensive. We proposed a variable local-world scale-free hypernetwork model, so that the establishment of new connections can be more in line with the evolution mechanism of the real social network. Theory and simulation prove that hyperdegree distribution is not affected by the neighbor order, and the theory agrees with the simulation. Combining the SIS model based on the reaction process (RP) strategy and the mean-field theory, we derive a theoretical expression for the density of informed nodes in steady state. The effects of hypernetwork structure parameters and dissemination parameters on information dissemination under two strategies are comparatively analyzed through simulation experiments. Most noteworthy, as neighbor order $n$ increases, it decreases the information dissemination rate under RP strategy and increases the information dissemination rate under contact process strategy, but both steady-state values remain the same. The results of the study provide a new perspective for a deeper understanding of the establishment of new relationships and information dissemination in social networks, as well as a theoretical basis for other practical applications that require local-world preference of connections.