Local preferential attachment model for hierarchical networks
Wang, Li-NaBusiness School, University of Shanghai for Science and Technology, China - College of Sciences, Inner Mongolian University of Technology, Hohhot, China
Guo, Jin-LiBusiness School, University of Shanghai for Science and Technology, China
Yang, Han-XinDepartment of Modern Physics, University of Science and Technology of China, Hefei, China
Zhou, TaoDepartment of Modern Physics, University of Science and Technology of China, Hefei, China
24.12.2008
Published in:
Physica A: Statistical Mechanics and its Applications. - 2009, vol. 388, no. 8, p. 1713-1720
English
A railway transportation system can be represented by a bipartite network consisting of trains and stations, where a train is connected to all stations where it stops. In this paper, motivated by the resource-allocation process taking place on networks, we design a method to project a Chinese train-station bipartite network into a weighted station network. A new metric is proposed to quantify the dependence between pairs of stations, which is shown to follow a shifted power-law distribution. In addition, we compare the resource-allocation method and the well-known multiple-edge method, and the results indicate that our proposed method is more reasonable.