Online social network evolving model based on damping factor

Recently the evolving model of network has become one of hot research topics. Since the BA model is presented, many kinds of evolving models have been proposed. However the generation mechanism of existing evolving model of online social network has certain limitation, i.e. researchers mostly focus on the factors that facilitating network growth but ignore the factors that delaying network growth. In order to resolve this limitation, a new online social network evolving model (DFEM) is proposed in this paper. In this model, the factors delaying network growth are defined as damping factor and which is divided into the decline of initial attraction, the loss of node heat, and irresistible natural factors. In addition, the damping factors, the attractive factors, and the degree of nodes are taken into consideration together in the preference link. The results of theoretical analysis and numerical simulation suggest that the degree distribution of network generated by DFEM model is more correspond with existing online social network.