摘要
We modify the (Barabgsi-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 scalefree and small-world networks, our model may provide a satisfactory description for empirical characteristics of real networks.
We modify the (Barabgsi-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 scalefree and small-world networks, our model may provide a satisfactory description for empirical characteristics of real networks.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 10375025 and 10275027, and by the Ministry of Education of China under Grant No CFKSTIP-704035.