Dynamical evolution behavior of scientific collaboration hypernetwork

Abstract

Scientific collaboration has a complex hypernetwork structure. How to construct scientific collaboration in a complex system is an open issue. In this paper, a non-uniform dynamic collaborative evolution model is proposed. In the proposed method, each scholar is viewed as a node, and each cooperation relationship is regarded as a hyperedge. This model includes three processes: adding hyperedges, entering nodes, and forming hyperedges by new nodes. It is theoretically proved that the hyperdegree distribution of nodes follows the power law distribution. Furthermore, the effects of different parameters on the proposed model are numerically simulated in this paper. The experimental results are consistent with the theoretical ones. In addition, experiments show that the influence of nodes and hyperedges will affect the selection of old nodes when new nodes enter the network. This paper not only considers the construction of hyperedges with old nodes but also considers the possibility that new nodes construct new hyperedges among themselves. This model provides a reference for the research of the evolution process of scientific collaboration hypernetworks.