Strength Distribution in Derivative Networks
arXiv:cond-mat/0501252 · doi:10.1142/S0129183105007765
Abstract
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 if the fitness has an upper limit and if the fitness has no upper limit but a positive lower limit. Possible implications for neuronal networks topology and dynamics are also discussed.
5 pages, 2 figure
References in corpus (12)
- The structure and function of complex networks
- The architecture of complex weighted networks
- Mixing patterns in networks
- Class of correlated random networks with hidden variables
- Characterization and Modeling of weighted networks
- A General Formalism for Inhomogeneous Random Graphs
- Efficient Hopfield pattern recognition on a scale-free neural network
- Weighted Scale-Free Networks with Stochastic Weight Assignments
- Properties of Random Graphs with Hidden Color
- Stability of shortest paths in complex networks with random edge weights
- Analysis of scale-free networks based on a threshold graph with intrinsic vertex weights
- What's in a name?