Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-10-04
Phys. Rev. E 72, 017103 (2005)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures, final version published in PRE
Scientific paper
10.1103/PhysRevE.72.017103
We introduce the notion of globally updating evolution for a class of weighted networks, in which the weight of a link is characterized by the amount of data packet transport flowing through it. By noting that the packet transport over the network is determined nonlocally, this approach can explain the generic nonlinear scaling between the strength and the degree of a node. We demonstrate by a simple model that the strength-driven evolution scheme recently introduced can be generalized to a nonlinear preferential attachment rule, generating the power-law behaviors in degree and in strength simultaneously.
Goh Kwang-Il
Kahng Byungnam
Kim Dongseok
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