Weighted Evolving Networks

S. H. Yook, H. Jeong, A.-L. Barabási, and Y. Tu
Phys. Rev. Lett. 86, 5835 – Published 18 June 2001
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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.

  • Received 9 January 2001

DOI:https://doi.org/10.1103/PhysRevLett.86.5835

©2001 American Physical Society

Authors & Affiliations

S. H. Yook, H. Jeong, and A.-L. Barabási

  • Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556

Y. Tu

  • IBM, TJ Watson Research Center, POB 218, Yorktown Heights, New York 10598

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Vol. 86, Iss. 25 — 18 June 2001

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