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.
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
Permanent URL
Recommended Citation
Yook, S. H.; Jeong, H.; Barabási, A.-L.; and Tu, Y., "Weighted evolving networks" (2001). Physics Faculty Publications. Paper 124. http://hdl.handle.net/2047/d20000697
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Notes
Originally published in Physical Review Letters 86(25), 2001. doi:10.1103/PhysRevLett.86.5835