EVOLVING MODEL OF SCALE-FREE NETWORKS WITH INTRINSIC LINKS

Xianmin Geng (), Guanghui Wen, Ying Wang and Jinxia Li
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Xianmin Geng: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
Guanghui Wen: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
Ying Wang: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
Jinxia Li: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 07, 1129-1144

Abstract: In this paper, we introduce the concept of intrinsic link, which is used to describe the intrinsic interactions between the individuals in complex systems. Furthermore, we present a model for the evolution of complex networks, in which the system dynamics motivated by four mechanisms: the addition of new nodes with preferential attachment, the addition of new nodes with intrinsic attachment, the addition of new links with preferential attachment and the addition of new intrinsic links. The model yields scale-free behavior for the degree distributions as confirmed in many real networks. With continumm theory, we get the analytical expressions of the degree distribution and the scaling exponent γ. The analytical expressions are in good agreement with the numerical simulation results.

Keywords: Scale-free network; degree distribution; scaling exponent; intrinsic links; 05.50.+q; 89.75.Da; 89.75.Hc; 89.75.Fb (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012728

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