A WEIGHTED LOCAL-WORLD EVOLVING NETWORK MODEL BASED ON THE EDGE WEIGHTS PREFERENTIAL SELECTION

作者：Li, Ping^*; Zhao, Qingzhen; Wang, Haitang

来源：International Journal of Modern Physics B, 2013, 27(12): 1350039.

DOI：10.1142/S0217979213500392

• Weighted network
• local-world model
• edge preferential selection
• epidemic spreading

In this paper, we use the edge weights preferential attachment mechanism to build a new local-world evolutionary model for weighted networks. It is different from previous papers that the local-world of our model consists of edges instead of nodes. Each time step, we connect a new node to two existing nodes in the local-world through the edge weights preferential selection. Theoretical analysis and numerical simulations show that the scale of the local-world affect on the weight distribution, the strength distribution and the degree distribution. We give the simulations about the clustering coefficient and the dynamics of infectious diseases spreading. The weight dynamics of our network model can portray the structure of realistic networks such as neural network of the nematode C. elegans and Online Social Network.

• 出版日期2013-5-10
• 单位山东师范大学; 山东交通学院