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Many real networks are complex and have power-law vertex degree distribution,short diameter, and high clustering. We analyze the network model based onthresholding of the summed vertex weights, which belongs to the class ofnetworks proposed by Caldarelli et al. (2002). Power-law degree distributions,particularly with the dynamically stable scaling exponent 2, realisticclustering, and short path lengths are produced for many types of weightdistributions. Thresholding mechanisms can underlie a family of real complexnetworks that is characterized by cooperativeness and the baseline scalingexponent 2. It contrasts with the class of growth models with preferentialattachment, which is marked by competitiveness and baseline scaling exponent 3.Comment: 5 figure

Analysis of scale-free networks based on a threshold graph with intrinsic vertex weights