Weighted Evolving Networks

Preprint

19 January 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0101309

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 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.

Keywords

NETWORKS MANY BIOLOGICAL
WEIGHTED NETWORKS
WEIGHTED EVOLVING
ECONOMIC SYSTEMS
NETWORK EVOLVES
NETWORK MODELS
CONVERGENCE
BEHAVIOR
STRENGTH

All Related Versions

Version 1, 2001-01-19, ArXiv
Published version: Physical Review Letters, 86 (25), 5835.

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