Power-law strength-degree correlation from resource-allocation dynamics on weighted networks.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, People's Republic of China.

Published: February 2007

Many weighted scale-free networks are known to have a power-law correlation between strength and degree of nodes, which, however, has not been well explained. We investigate the dynamic behavior of resource-traffic flow on scale-free networks. The dynamical system will evolve into a kinetic equilibrium state, where the strength, defined by the amount of resource or traffic load, is correlated with the degree in a power-law form with tunable exponent. The analytical results agree well with simulations.

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http://dx.doi.org/10.1103/PhysRevE.75.021102DOI Listing

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