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Growing Small-World Networks Based on a Modified BA Model

2006/02/24 by Xinping Xu, Xu Xin-Ping, Feng Liu +3
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #math-ph #math.MP

paper · pdf · doi:10.1088/0256-307x/23/3/062

published as Chin.Phys.Lett 23(2006)750 · 4 pages, 4 figures

openalex publication_date 2006/02/24 · arxiv created 2007/08/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations