A new local-world model is proposed in this paper to improve and extend the descriptive ability of the first geometrical local-world network model, i.e., the Gardeñes–Moreno (GM) model. A concept of correlation degree between nodes is introduced into the proposed model to build a local world...

Homogeneous entangled networks characterized by small world, large girths, and no community structure have attracted much attention due to some of their favorable performances. However, the optimization algorithm proposed by Donetti et al. is very time-consuming and will lose its efficiency...

A large number of networks in the real world have a scale-free structure, and the parameters of the networks change stochastically with time. Searching for the shortest paths in a scale-free dynamic and stochastic network is not only necessary for the estimation of the statistical...

The problem of improving the consensus and synchronizability for weighted networks of dynamic systems via adding links among them is investigated in this paper. A weighted network entropy is introduced to measure the homogeneity of the weighted networks. The relationship between the homogeneity...

In this paper we introduce a new kind of scale-free and small-world networks with multiple hubs based on classic networks and present the trapping problem on them. We show that in the multiple-hub networks, the growth of MFPT with the traps located on the hub or peripheral nodes displays quite a...