WEIGHTED EVOLVING NETWORKS WITH INTRINSIC STRENGTH

Xianmin Geng () and Guanghui Wen
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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

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 09, 1435-1442

Abstract: In this paper, we introduce the concept of intrinsic strength which is used to describe the node's intrinsic property. Furthermore, we present a single preferential attachment model for the evolution of weighted networks in which the network growth is coupled with dynamical evolution of weights and intrinsic strength. The model yields a nontrivial time evolution of nodes' properties and generalized power law distributions for the weight, strength and degree, as confirmed in many real networks. The numerical simulation results are in good agreement with the analytical expressions.

Keywords: Weighted network; intrinsic strength; scale-free behavior; strength distribution; 05.10.-a; 05.65.+b; 87.23.Ge; 87.23.Kg (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011443

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