Large flocks of wild beings can have coordinated motion with neither leading center nor global information. The Vicsek model and its new versions explained such collective behavior of self-propelled agents with the mechanism of un-weighted influence of neighbors and global visual field (GVF),...

In this paper, we investigate percolation in a sort of networks inspired by the observation of a Collatz graph (CG) which is the network version of the famous 3x+1 problem in mathematics. The CG consists of positive integers that are connected based on the iteration relations. Actually, we never...

In this paper, we propose a generalized deactivation model to characterize weighted networks. By introducing the special aging mechanism, the model can produce power-law distributions of degree, strength, and weight, as confirmed in many real networks. We also characterize the clustering and...