Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-01-11
Physics
Condensed Matter
Statistical Mechanics
5 pages, 2 figure
Scientific paper
10.1142/S0129183105007765
This article describes a complex network model whose weights are proportional to the difference between uniformly distributed ``fitness'' values assigned to the nodes. It is shown both analytically and experimentally that the strength density (i.e. the weighted node degree) for this model, called derivative complex networks, follows a power law with exponent $\gamma<1$ if the fitness has an upper limit and $\gamma>1$ if the fitness has no upper limit but a positive lower limit. Possible implications for neuronal networks topology and dynamics are also discussed.
Fontoura Costa Luciano da
Travieso Gonzalo
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