An extensive weight-driven network with non-linear growth informationLin Wang, GuiQing Zhang and TianLun Chen
Department of Physics, Nankai University - Tianjin 300071, PRC
received 23 May 2008; accepted in final form 3 November 2008; published December 2008
published online 16 December 2008
In many real-world networks such as the Internet, World Wide Web, etc., the number of edges grows in time in a nonlinear fashion. We consider growing weighted networks in which the number of outgoing edges is a nonlinear function of time and the evolution of the edges' weight is based on a mixed mechanism of weight-driven and inner selection dynamics. Moreover, two kinds of selection fashion of nodes (connected by newly established edges) have been investigated. In the common accelerating growth model, the network exhibits a wide-range power law distribution of node strengths. In the poverty alleviation model, node strength distribution can display transition from power law distribution to Poission-like distribution. The clustering coefficient, the weighted shortest path and the correlation property have been investigated simultaneously.
89.75.Hc - Networks and genealogical trees.
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.
87.23.Kg - Dynamics of evolution .
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