Abstract

Many biological, ecological, and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most evolving network models studied so far are binary, the link strength being either 0 or 1. In this paper we introduce and investigate the scaling properties of a class of models which assign weights to the links as the network evolves. The combined numerical and analytical approach indicates that asymptotically the total weight distribution converges to the scaling behavior of the connectivity distribution, but this convergence is hampered by strong logarithmic corrections.

Notes

Originally published in Physical Review Letters 86(25), 2001. doi:10.1103/PhysRevLett.86.5835

Keywords

complex networks, weighted evolving networks

Subject Categories

Convergence

Disciplines

Physics

Publisher

The American Physical Society

Publication Date

6-2001

Rights Holder

©2001 The American Physical Society

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Included in

Physics Commons

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