Growing Small-World Networks Based on a Modified BA Model
XU Xin-Ping1, LIU Feng1, LI Wei2
1Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
2Max Planck Institute for Mathematics in the Sciences, Inselstr.22-26, D-04103, Leipzig, Germany
Growing Small-World Networks Based on a Modified BA Model
XU Xin-Ping1;LIU Feng1;LI Wei2
1Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
2Max Planck Institute for Mathematics in the Sciences, Inselstr.22-26, D-04103, Leipzig, Germany
Abstract： We modify the (Barabási--Albert) BA model for the evolution of small-world networks. It is introduced as a modified BA model in which all the edges connected to the new node are made locally to the old node and its nearest neighbours. It is found that this model can produce small-world networks with power-law degree distributions. Properties of our model, including the degree distribution, clustering, average path length and degree correlation coefficient are compared with that of the BA model. Since most real networks are both scale-free and small-world networks, our model may provide a satisfactory description for empirical characteristics of real networks.
XU Xin-Ping;LIU Feng;LI Wei. Growing Small-World Networks Based on a Modified BA Model[J]. 中国物理快报, 2006, 23(3): 750-753.
XU Xin-Ping, LIU Feng, LI Wei. Growing Small-World Networks Based on a Modified BA Model. Chin. Phys. Lett., 2006, 23(3): 750-753.
2006, Vol. 23 
